TSTP Solution File: GRP256-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP256-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n009.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 : Fri May 3 02:21:55 EDT 2024
% Result : Unsatisfiable 10.20s 2.14s
% Output : CNFRefutation 10.20s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c9
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c9
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c9
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c9
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c9
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c9
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_62,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c2,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c8
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| multiply(sk_c2,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c9,sk_c7) = sk_c8
| multiply(sk_c2,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c7
| multiply(sk_c2,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c8
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( multiply(sk_c9,sk_c7) = sk_c8
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_75,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c7
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
cnf(c_76,negated_conjecture,
( inverse(sk_c6) = sk_c9
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
cnf(c_80,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
cnf(c_83,negated_conjecture,
( inverse(sk_c6) = sk_c9
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
cnf(c_84,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c3,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
cnf(c_85,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c8
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
cnf(c_86,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| multiply(sk_c3,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).
cnf(c_87,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).
cnf(c_88,negated_conjecture,
( multiply(sk_c9,sk_c7) = sk_c8
| multiply(sk_c3,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).
cnf(c_89,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c7
| multiply(sk_c3,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
cnf(c_90,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c8
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
cnf(c_91,negated_conjecture,
( multiply(X0,sk_c10) != sk_c9
| multiply(X1,sk_c9) != sk_c8
| multiply(X2,sk_c9) != sk_c8
| multiply(X3,sk_c10) != sk_c9
| multiply(X4,sk_c8) != sk_c9
| multiply(X5,sk_c9) != X6
| multiply(sk_c9,X6) != sk_c8
| inverse(X0) != sk_c10
| inverse(X1) != sk_c9
| inverse(X2) != sk_c8
| inverse(X3) != sk_c10
| inverse(X4) != sk_c8
| inverse(X5) != sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
cnf(c_92,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_93,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_94,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_95,negated_conjecture,
( multiply(sk_c9,multiply(X0,sk_c9)) != sk_c8
| multiply(X1,sk_c10) != sk_c9
| multiply(X2,sk_c9) != sk_c8
| multiply(X3,sk_c9) != sk_c8
| multiply(X4,sk_c10) != sk_c9
| multiply(X5,sk_c8) != sk_c9
| inverse(X0) != sk_c9
| inverse(X1) != sk_c10
| inverse(X2) != sk_c9
| inverse(X3) != sk_c8
| inverse(X4) != sk_c10
| inverse(X5) != sk_c8 ),
inference(unflattening,[status(thm)],[c_91]) ).
cnf(c_492,negated_conjecture,
( multiply(X0,sk_c9) != sk_c8
| inverse(X0) != sk_c8
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_95]) ).
cnf(c_493,negated_conjecture,
( multiply(X0,sk_c9) != sk_c8
| inverse(X0) != sk_c9
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_95]) ).
cnf(c_494,negated_conjecture,
( multiply(X0,sk_c10) != sk_c9
| inverse(X0) != sk_c10
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_95]) ).
cnf(c_495,negated_conjecture,
( multiply(X0,sk_c8) != sk_c9
| inverse(X0) != sk_c8
| ~ sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_95]) ).
cnf(c_496,negated_conjecture,
( multiply(sk_c9,multiply(X0,sk_c9)) != sk_c8
| inverse(X0) != sk_c9
| ~ sP4_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_def])],[c_95]) ).
cnf(c_497,negated_conjecture,
( sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_95]) ).
cnf(c_498,plain,
multiply(sk_c3,sk_c9) = sP5_iProver_def,
definition ).
cnf(c_499,plain,
inverse(sk_c6) = sP6_iProver_def,
definition ).
cnf(c_500,plain,
multiply(sk_c6,sk_c9) = sP7_iProver_def,
definition ).
cnf(c_501,plain,
multiply(sk_c9,sk_c7) = sP8_iProver_def,
definition ).
cnf(c_502,plain,
inverse(sk_c5) = sP9_iProver_def,
definition ).
cnf(c_503,plain,
multiply(sk_c5,sk_c8) = sP10_iProver_def,
definition ).
cnf(c_504,plain,
inverse(sk_c4) = sP11_iProver_def,
definition ).
cnf(c_505,plain,
multiply(sk_c4,sk_c10) = sP12_iProver_def,
definition ).
cnf(c_506,plain,
inverse(sk_c3) = sP13_iProver_def,
definition ).
cnf(c_507,plain,
inverse(sk_c2) = sP14_iProver_def,
definition ).
cnf(c_508,plain,
multiply(sk_c2,sk_c9) = sP15_iProver_def,
definition ).
cnf(c_509,plain,
inverse(sk_c1) = sP16_iProver_def,
definition ).
cnf(c_510,plain,
multiply(sk_c1,sk_c10) = sP17_iProver_def,
definition ).
cnf(c_511,negated_conjecture,
( sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(demodulation,[status(thm)],[c_497]) ).
cnf(c_512,negated_conjecture,
( multiply(sk_c9,multiply(X0,sk_c9)) != sk_c8
| inverse(X0) != sk_c9
| ~ sP4_iProver_def ),
inference(demodulation,[status(thm)],[c_496]) ).
cnf(c_513,negated_conjecture,
( multiply(X0,sk_c8) != sk_c9
| inverse(X0) != sk_c8
| ~ sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_495]) ).
cnf(c_515,negated_conjecture,
( multiply(X0,sk_c10) != sk_c9
| inverse(X0) != sk_c10
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_494]) ).
cnf(c_516,negated_conjecture,
( multiply(X0,sk_c9) != sk_c8
| inverse(X0) != sk_c9
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_493]) ).
cnf(c_517,negated_conjecture,
( multiply(X0,sk_c9) != sk_c8
| inverse(X0) != sk_c8
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_492]) ).
cnf(c_518,negated_conjecture,
( sP5_iProver_def = sk_c8
| sP6_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_90,c_499,c_498]) ).
cnf(c_519,negated_conjecture,
( sP5_iProver_def = sk_c8
| sP7_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_89,c_500]) ).
cnf(c_520,negated_conjecture,
( sP5_iProver_def = sk_c8
| sP8_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_88,c_501]) ).
cnf(c_521,negated_conjecture,
( sP5_iProver_def = sk_c8
| sP9_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_87,c_502]) ).
cnf(c_522,negated_conjecture,
( sP5_iProver_def = sk_c8
| sP10_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_86,c_503]) ).
cnf(c_523,negated_conjecture,
( sP5_iProver_def = sk_c8
| sP11_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_85,c_504]) ).
cnf(c_524,negated_conjecture,
( sP5_iProver_def = sk_c8
| sP12_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_84,c_505]) ).
cnf(c_525,negated_conjecture,
( sP6_iProver_def = sk_c9
| sP13_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_83,c_506]) ).
cnf(c_528,negated_conjecture,
( sP9_iProver_def = sk_c8
| sP13_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_80]) ).
cnf(c_532,negated_conjecture,
( sP6_iProver_def = sk_c9
| sP14_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_76,c_507]) ).
cnf(c_533,negated_conjecture,
( sP7_iProver_def = sk_c7
| sP14_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_75]) ).
cnf(c_534,negated_conjecture,
( sP8_iProver_def = sk_c8
| sP14_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_74]) ).
cnf(c_535,negated_conjecture,
( sP9_iProver_def = sk_c8
| sP14_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_73]) ).
cnf(c_536,negated_conjecture,
( sP10_iProver_def = sk_c9
| sP14_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_72]) ).
cnf(c_537,negated_conjecture,
( sP11_iProver_def = sk_c10
| sP14_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_71]) ).
cnf(c_538,negated_conjecture,
( sP12_iProver_def = sk_c9
| sP14_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_70]) ).
cnf(c_539,negated_conjecture,
( sP6_iProver_def = sk_c9
| sP15_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_69,c_508]) ).
cnf(c_540,negated_conjecture,
( sP7_iProver_def = sk_c7
| sP15_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_68]) ).
cnf(c_541,negated_conjecture,
( sP8_iProver_def = sk_c8
| sP15_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_67]) ).
cnf(c_542,negated_conjecture,
( sP9_iProver_def = sk_c8
| sP15_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_66]) ).
cnf(c_543,negated_conjecture,
( sP10_iProver_def = sk_c9
| sP15_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_65]) ).
cnf(c_544,negated_conjecture,
( sP11_iProver_def = sk_c10
| sP15_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_64]) ).
cnf(c_545,negated_conjecture,
( sP12_iProver_def = sk_c9
| sP15_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_63]) ).
cnf(c_546,negated_conjecture,
( sP6_iProver_def = sk_c9
| sP16_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_62,c_509]) ).
cnf(c_549,negated_conjecture,
( sP9_iProver_def = sk_c8
| sP16_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_59]) ).
cnf(c_550,negated_conjecture,
( sP10_iProver_def = sk_c9
| sP16_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_58]) ).
cnf(c_551,negated_conjecture,
( sP11_iProver_def = sk_c10
| sP16_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_57]) ).
cnf(c_552,negated_conjecture,
( sP12_iProver_def = sk_c9
| sP16_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_553,negated_conjecture,
( sP6_iProver_def = sk_c9
| sP17_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_55,c_510]) ).
cnf(c_554,negated_conjecture,
( sP7_iProver_def = sk_c7
| sP17_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_556,negated_conjecture,
( sP9_iProver_def = sk_c8
| sP17_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_557,negated_conjecture,
( sP10_iProver_def = sk_c9
| sP17_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_558,negated_conjecture,
( sP11_iProver_def = sk_c10
| sP17_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_559,negated_conjecture,
( sP12_iProver_def = sk_c9
| sP17_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_560,plain,
X0 = X0,
theory(equality) ).
cnf(c_561,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_858,plain,
( sk_c8 = sP5_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_521,c_520]) ).
cnf(c_1061,plain,
( multiply(sk_c5,sP13_iProver_def) = sP10_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_525,c_503]) ).
cnf(c_1064,plain,
( multiply(sk_c5,sP9_iProver_def) = sP10_iProver_def
| sk_c8 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_521,c_503]) ).
cnf(c_1088,plain,
( multiply(sk_c4,sP11_iProver_def) = sP12_iProver_def
| sk_c8 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_523,c_505]) ).
cnf(c_1093,plain,
( multiply(sk_c2,sP14_iProver_def) = sP15_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_532,c_508]) ).
cnf(c_1102,plain,
multiply(sP11_iProver_def,sk_c4) = identity,
inference(superposition,[status(thm)],[c_504,c_93]) ).
cnf(c_1103,plain,
multiply(sP9_iProver_def,sk_c5) = identity,
inference(superposition,[status(thm)],[c_502,c_93]) ).
cnf(c_1104,plain,
multiply(sP6_iProver_def,sk_c6) = identity,
inference(superposition,[status(thm)],[c_499,c_93]) ).
cnf(c_1105,plain,
multiply(sP16_iProver_def,sk_c1) = identity,
inference(superposition,[status(thm)],[c_509,c_93]) ).
cnf(c_1106,plain,
multiply(sP14_iProver_def,sk_c2) = identity,
inference(superposition,[status(thm)],[c_507,c_93]) ).
cnf(c_1107,plain,
multiply(sP13_iProver_def,sk_c3) = identity,
inference(superposition,[status(thm)],[c_506,c_93]) ).
cnf(c_1192,plain,
( sk_c9 = sP14_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_535,c_534]) ).
cnf(c_1193,plain,
( multiply(sk_c5,sP9_iProver_def) = sP10_iProver_def
| sk_c9 = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_535,c_503]) ).
cnf(c_1241,plain,
( multiply(sk_c2,sP14_iProver_def) = sP15_iProver_def
| sk_c9 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_536,c_508]) ).
cnf(c_1264,plain,
( multiply(sk_c4,sP11_iProver_def) = sP12_iProver_def
| sk_c9 = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_537,c_505]) ).
cnf(c_1327,plain,
( multiply(sk_c5,sP15_iProver_def) = sP10_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_539,c_503]) ).
cnf(c_1337,plain,
( sk_c9 = sP6_iProver_def
| sP5_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_539,c_518]) ).
cnf(c_1390,plain,
sk_c8 = sk_c8,
inference(instantiation,[status(thm)],[c_560]) ).
cnf(c_1490,plain,
( multiply(sk_c5,sP15_iProver_def) = sP10_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_542,c_503]) ).
cnf(c_1570,plain,
( sk_c9 = sP10_iProver_def
| sP5_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_543,c_522]) ).
cnf(c_1603,plain,
( multiply(sk_c4,sP11_iProver_def) = sP12_iProver_def
| sk_c8 = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_544,c_505]) ).
cnf(c_1632,plain,
( sk_c9 = sP12_iProver_def
| sP5_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_545,c_524]) ).
cnf(c_1671,plain,
( multiply(sk_c1,sP16_iProver_def) = sP17_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_546,c_510]) ).
cnf(c_1767,plain,
( multiply(sk_c1,sP16_iProver_def) = sP17_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_549,c_510]) ).
cnf(c_1790,plain,
( X0 != X1
| sP9_iProver_def != X1
| X0 = sP9_iProver_def ),
inference(instantiation,[status(thm)],[c_561]) ).
cnf(c_1805,plain,
( multiply(sk_c1,sP16_iProver_def) = sP17_iProver_def
| sk_c9 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_550,c_510]) ).
cnf(c_1835,plain,
( multiply(sk_c1,sP16_iProver_def) = sP17_iProver_def
| sk_c10 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_551,c_510]) ).
cnf(c_1873,plain,
( multiply(sk_c1,sP16_iProver_def) = sP17_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_552,c_510]) ).
cnf(c_1896,plain,
( X0 != X1
| sP13_iProver_def != X1
| X0 = sP13_iProver_def ),
inference(instantiation,[status(thm)],[c_561]) ).
cnf(c_1910,plain,
( multiply(sk_c2,sP17_iProver_def) = sP15_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_553,c_508]) ).
cnf(c_1912,plain,
( sk_c9 = sP6_iProver_def
| sP14_iProver_def = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_553,c_532]) ).
cnf(c_1935,plain,
( multiply(sk_c9,sP7_iProver_def) = sP8_iProver_def
| sk_c9 = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_554,c_501]) ).
cnf(c_2104,plain,
( multiply(sk_c5,sP9_iProver_def) = sP10_iProver_def
| sk_c9 = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_556,c_503]) ).
cnf(c_2252,plain,
( sk_c9 = sP10_iProver_def
| sP14_iProver_def = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_557,c_536]) ).
cnf(c_2319,plain,
( multiply(sk_c1,sP11_iProver_def) = sP17_iProver_def
| sk_c9 = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_558,c_510]) ).
cnf(c_2320,plain,
( multiply(sk_c4,sP11_iProver_def) = sP12_iProver_def
| sk_c9 = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_558,c_505]) ).
cnf(c_2406,plain,
( sk_c9 = sP12_iProver_def
| sP14_iProver_def = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_559,c_538]) ).
cnf(c_2408,plain,
( multiply(sk_c2,sP17_iProver_def) = sP15_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_559,c_508]) ).
cnf(c_2501,plain,
( sk_c8 = sP9_iProver_def
| sP5_iProver_def = sP15_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_858,c_542]) ).
cnf(c_2502,plain,
( sk_c8 = sP8_iProver_def
| sP5_iProver_def = sP15_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_858,c_541]) ).
cnf(c_2509,plain,
( sk_c8 = sP9_iProver_def
| sP5_iProver_def = sP13_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_858,c_528]) ).
cnf(c_2553,plain,
( X0 != sk_c8
| sP9_iProver_def != sk_c8
| X0 = sP9_iProver_def ),
inference(instantiation,[status(thm)],[c_1790]) ).
cnf(c_2720,plain,
( inverse(inverse(sk_c8)) != sk_c8
| sk_c9 != identity
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_93,c_513]) ).
cnf(c_2934,plain,
( inverse(sk_c1) != sk_c10
| sk_c9 != sP17_iProver_def
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_510,c_515]) ).
cnf(c_2935,plain,
( inverse(sk_c4) != sk_c10
| sk_c9 != sP12_iProver_def
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_505,c_515]) ).
cnf(c_2952,plain,
( sk_c10 != sP11_iProver_def
| sk_c9 != sP12_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2935,c_504]) ).
cnf(c_2956,plain,
( sk_c10 != sP16_iProver_def
| sk_c9 != sP17_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2934,c_509]) ).
cnf(c_3063,plain,
( sk_c8 != sk_c8
| sP9_iProver_def != sk_c8
| sk_c8 = sP9_iProver_def ),
inference(instantiation,[status(thm)],[c_2553]) ).
cnf(c_3085,plain,
( inverse(sk_c6) != sk_c9
| sk_c8 != sP7_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_500,c_516]) ).
cnf(c_3086,plain,
( inverse(sk_c2) != sk_c9
| sk_c8 != sP15_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_508,c_516]) ).
cnf(c_3087,plain,
( inverse(sk_c3) != sk_c9
| sk_c8 != sP5_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_498,c_516]) ).
cnf(c_3089,plain,
( inverse(inverse(sk_c9)) != sk_c9
| sk_c8 != identity
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_93,c_516]) ).
cnf(c_3102,plain,
( sk_c9 != sP13_iProver_def
| sk_c8 != sP5_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3087,c_506]) ).
cnf(c_3106,plain,
( sk_c9 != sP14_iProver_def
| sk_c8 != sP15_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3086,c_507]) ).
cnf(c_3110,plain,
( sk_c9 != sP6_iProver_def
| sk_c8 != sP7_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3085,c_499]) ).
cnf(c_3207,plain,
( inverse(sk_c3) != sk_c8
| sk_c8 != sP5_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_498,c_517]) ).
cnf(c_3209,plain,
( inverse(inverse(sk_c9)) != sk_c8
| sk_c8 != identity
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_93,c_517]) ).
cnf(c_3222,plain,
( sk_c8 != sP5_iProver_def
| sk_c8 != sP13_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3207,c_506]) ).
cnf(c_3328,plain,
( multiply(sk_c9,sP7_iProver_def) != sk_c8
| inverse(sk_c6) != sk_c9
| ~ sP4_iProver_def ),
inference(superposition,[status(thm)],[c_500,c_512]) ).
cnf(c_3329,plain,
( multiply(sk_c9,sP15_iProver_def) != sk_c8
| inverse(sk_c2) != sk_c9
| ~ sP4_iProver_def ),
inference(superposition,[status(thm)],[c_508,c_512]) ).
cnf(c_3349,plain,
( multiply(sk_c9,sP15_iProver_def) != sk_c8
| sk_c9 != sP14_iProver_def
| ~ sP4_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3329,c_507]) ).
cnf(c_3353,plain,
( multiply(sk_c9,sP7_iProver_def) != sk_c8
| sk_c9 != sP6_iProver_def
| ~ sP4_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3328,c_499]) ).
cnf(c_3468,plain,
( multiply(sk_c2,sP14_iProver_def) = sP15_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_1192,c_508]) ).
cnf(c_3812,plain,
multiply(sk_c6,multiply(sk_c9,X0)) = multiply(sP7_iProver_def,X0),
inference(superposition,[status(thm)],[c_500,c_94]) ).
cnf(c_3816,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_93,c_94]) ).
cnf(c_3818,plain,
multiply(sP11_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1102,c_94]) ).
cnf(c_3819,plain,
multiply(sP9_iProver_def,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1103,c_94]) ).
cnf(c_3820,plain,
multiply(sP6_iProver_def,multiply(sk_c6,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1104,c_94]) ).
cnf(c_3821,plain,
multiply(sP16_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1105,c_94]) ).
cnf(c_3822,plain,
multiply(sP14_iProver_def,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1106,c_94]) ).
cnf(c_3823,plain,
multiply(sP13_iProver_def,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1107,c_94]) ).
cnf(c_3830,plain,
multiply(sP13_iProver_def,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3823,c_92]) ).
cnf(c_3831,plain,
multiply(sP14_iProver_def,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3822,c_92]) ).
cnf(c_3832,plain,
multiply(sP16_iProver_def,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3821,c_92]) ).
cnf(c_3833,plain,
multiply(sP6_iProver_def,multiply(sk_c6,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3820,c_92]) ).
cnf(c_3834,plain,
multiply(sP9_iProver_def,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3819,c_92]) ).
cnf(c_3835,plain,
multiply(sP11_iProver_def,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3818,c_92]) ).
cnf(c_3989,plain,
( X0 != sk_c8
| sP13_iProver_def != sk_c8
| X0 = sP13_iProver_def ),
inference(instantiation,[status(thm)],[c_1896]) ).
cnf(c_4303,plain,
( sP5_iProver_def = sP15_iProver_def
| sP6_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_1570,c_1337]) ).
cnf(c_4316,plain,
( multiply(sk_c2,sP10_iProver_def) = sP15_iProver_def
| sP5_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_1570,c_508]) ).
cnf(c_4523,plain,
( multiply(sP12_iProver_def,sk_c7) = sP8_iProver_def
| sP5_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_1632,c_501]) ).
cnf(c_4821,plain,
( sP6_iProver_def = sP10_iProver_def
| sP14_iProver_def = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_2252,c_1912]) ).
cnf(c_4993,plain,
( multiply(sP12_iProver_def,sk_c7) = sP8_iProver_def
| sP14_iProver_def = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_2406,c_501]) ).
cnf(c_5585,plain,
multiply(sP13_iProver_def,sP5_iProver_def) = sk_c9,
inference(superposition,[status(thm)],[c_498,c_3830]) ).
cnf(c_5593,plain,
multiply(sP14_iProver_def,sP15_iProver_def) = sk_c9,
inference(superposition,[status(thm)],[c_508,c_3831]) ).
cnf(c_5697,plain,
multiply(sP16_iProver_def,sP17_iProver_def) = sk_c10,
inference(superposition,[status(thm)],[c_510,c_3832]) ).
cnf(c_5931,plain,
multiply(sP6_iProver_def,sP7_iProver_def) = sk_c9,
inference(superposition,[status(thm)],[c_500,c_3833]) ).
cnf(c_5939,plain,
multiply(sP9_iProver_def,sP10_iProver_def) = sk_c8,
inference(superposition,[status(thm)],[c_503,c_3834]) ).
cnf(c_6188,plain,
( multiply(sP14_iProver_def,sP15_iProver_def) = sP14_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_1093,c_3831]) ).
cnf(c_6189,plain,
( sk_c9 = sP6_iProver_def
| sk_c9 = sP14_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6188,c_5593]) ).
cnf(c_6426,plain,
( multiply(sP9_iProver_def,sP10_iProver_def) = sP9_iProver_def
| sk_c9 = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_1193,c_3834]) ).
cnf(c_6427,plain,
( sk_c9 = sP14_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6426,c_5939]) ).
cnf(c_6746,plain,
( multiply(sP9_iProver_def,sP10_iProver_def) = sP15_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_1327,c_3834]) ).
cnf(c_6747,plain,
( sk_c9 = sP6_iProver_def
| sk_c8 = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6746,c_5939]) ).
cnf(c_6860,plain,
( multiply(sP9_iProver_def,sP10_iProver_def) = sP15_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_1490,c_3834]) ).
cnf(c_6861,plain,
( sk_c8 = sP9_iProver_def
| sk_c8 = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6860,c_5939]) ).
cnf(c_7492,plain,
( multiply(sP16_iProver_def,sP17_iProver_def) = sP16_iProver_def
| sk_c10 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_1835,c_3832]) ).
cnf(c_7493,plain,
( sk_c10 = sP11_iProver_def
| sk_c10 = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_7492,c_5697]) ).
cnf(c_7521,plain,
( multiply(sP16_iProver_def,sP17_iProver_def) = sP16_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_1873,c_3832]) ).
cnf(c_7522,plain,
( sk_c10 = sP16_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_7521,c_5697]) ).
cnf(c_7577,plain,
( multiply(sP14_iProver_def,sP15_iProver_def) = sP17_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_1910,c_3831]) ).
cnf(c_7578,plain,
( sk_c9 = sP6_iProver_def
| sk_c9 = sP17_iProver_def ),
inference(light_normalisation,[status(thm)],[c_7577,c_5593]) ).
cnf(c_7768,plain,
( multiply(sP9_iProver_def,sP10_iProver_def) = sP9_iProver_def
| sk_c9 = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_2104,c_3834]) ).
cnf(c_7769,plain,
( sk_c9 = sP17_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(light_normalisation,[status(thm)],[c_7768,c_5939]) ).
cnf(c_7981,plain,
( multiply(sP16_iProver_def,sP17_iProver_def) = sP11_iProver_def
| sk_c9 = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_2319,c_3832]) ).
cnf(c_7982,plain,
( sk_c10 = sP11_iProver_def
| sk_c9 = sP17_iProver_def ),
inference(light_normalisation,[status(thm)],[c_7981,c_5697]) ).
cnf(c_8007,plain,
( multiply(sP14_iProver_def,sP15_iProver_def) = sP17_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_2408,c_3831]) ).
cnf(c_8008,plain,
( sk_c9 = sP12_iProver_def
| sk_c9 = sP17_iProver_def ),
inference(light_normalisation,[status(thm)],[c_8007,c_5593]) ).
cnf(c_9955,plain,
multiply(sk_c6,sP8_iProver_def) = multiply(sP7_iProver_def,sk_c7),
inference(superposition,[status(thm)],[c_501,c_3812]) ).
cnf(c_12079,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_3816,c_92]) ).
cnf(c_12089,plain,
multiply(inverse(sk_c9),sP8_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_501,c_12079]) ).
cnf(c_12093,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_92,c_12079]) ).
cnf(c_12094,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_93,c_12079]) ).
cnf(c_12114,plain,
( multiply(inverse(sk_c5),sP10_iProver_def) = sP13_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_1061,c_12079]) ).
cnf(c_12150,plain,
multiply(inverse(sP13_iProver_def),identity) = sk_c3,
inference(superposition,[status(thm)],[c_1107,c_12079]) ).
cnf(c_12240,plain,
multiply(inverse(sP11_iProver_def),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_3835,c_12079]) ).
cnf(c_12241,plain,
multiply(inverse(sP9_iProver_def),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_3834,c_12079]) ).
cnf(c_12242,plain,
multiply(inverse(sP6_iProver_def),X0) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_3833,c_12079]) ).
cnf(c_12243,plain,
multiply(inverse(sP16_iProver_def),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_3832,c_12079]) ).
cnf(c_12244,plain,
multiply(inverse(sP14_iProver_def),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_3831,c_12079]) ).
cnf(c_12247,plain,
multiply(inverse(sP13_iProver_def),sk_c9) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_5585,c_12079]) ).
cnf(c_12264,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_12079,c_12079]) ).
cnf(c_12424,plain,
( sk_c9 = sP6_iProver_def
| sk_c8 = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_12114,c_502,c_5939]) ).
cnf(c_12495,plain,
( sP5_iProver_def != sk_c8
| sP13_iProver_def != sk_c8
| sP5_iProver_def = sP13_iProver_def ),
inference(instantiation,[status(thm)],[c_3989]) ).
cnf(c_12726,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_12094,c_12264]) ).
cnf(c_12756,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_12726,c_12093]) ).
cnf(c_12905,plain,
( sP5_iProver_def = sP15_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_2502,c_2501]) ).
cnf(c_12945,plain,
( sP5_iProver_def = sP13_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_2509,c_521,c_528,c_1390,c_3063,c_12495]) ).
cnf(c_12946,plain,
( sk_c8 = sP9_iProver_def
| sP5_iProver_def = sP13_iProver_def ),
inference(renaming,[status(thm)],[c_12945]) ).
cnf(c_13000,plain,
( multiply(sk_c5,sP9_iProver_def) = sP10_iProver_def
| sP5_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_12946,c_503]) ).
cnf(c_13261,plain,
( sk_c9 != sP12_iProver_def
| ~ sP2_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_2952,c_2956,c_2952,c_7493,c_7982]) ).
cnf(c_13263,plain,
~ sP2_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_13261,c_2956,c_7522,c_8008,c_13261]) ).
cnf(c_13265,plain,
( sP0_iProver_def
| sP1_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_511,c_13263]) ).
cnf(c_13323,plain,
( sk_c9 != sP13_iProver_def
| ~ sP1_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_518,c_3102]) ).
cnf(c_13659,plain,
( ~ sP1_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_13323,c_3106,c_6189,c_6747]) ).
cnf(c_14352,plain,
( sk_c8 != sP13_iProver_def
| ~ sP0_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_518,c_3222]) ).
cnf(c_14574,plain,
( ~ sP0_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_14352,c_12424,c_14352]) ).
cnf(c_15069,plain,
multiply(sk_c4,sP11_iProver_def) = identity,
inference(superposition,[status(thm)],[c_12240,c_93]) ).
cnf(c_15090,plain,
( sk_c9 = sP17_iProver_def
| identity = sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_2320,c_15069]) ).
cnf(c_15091,plain,
( sk_c8 = sP15_iProver_def
| identity = sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_1603,c_15069]) ).
cnf(c_15092,plain,
( sk_c9 = sP14_iProver_def
| identity = sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_1264,c_15069]) ).
cnf(c_15093,plain,
( sk_c8 = sP5_iProver_def
| identity = sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_1088,c_15069]) ).
cnf(c_15739,plain,
( identity = sP12_iProver_def
| sP14_iProver_def = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_15092,c_15090]) ).
cnf(c_16064,plain,
( identity = sP12_iProver_def
| sP5_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_15093,c_15091]) ).
cnf(c_16336,plain,
( multiply(sP12_iProver_def,X0) = X0
| sP14_iProver_def = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_15739,c_92]) ).
cnf(c_16366,plain,
( multiply(sP12_iProver_def,X0) = X0
| sP5_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_16064,c_92]) ).
cnf(c_16520,plain,
multiply(sk_c5,sP9_iProver_def) = identity,
inference(superposition,[status(thm)],[c_12241,c_93]) ).
cnf(c_16523,plain,
( multiply(sk_c9,multiply(sk_c5,sk_c9)) != sk_c8
| inverse(inverse(sP9_iProver_def)) != sk_c9
| ~ sP4_iProver_def ),
inference(superposition,[status(thm)],[c_12241,c_512]) ).
cnf(c_16524,plain,
( multiply(sk_c5,sk_c9) != sk_c8
| inverse(inverse(sP9_iProver_def)) != sk_c8
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_12241,c_517]) ).
cnf(c_16526,plain,
( multiply(sk_c5,sk_c8) != sk_c9
| inverse(inverse(sP9_iProver_def)) != sk_c8
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_12241,c_513]) ).
cnf(c_16528,plain,
multiply(sk_c5,identity) = inverse(sP9_iProver_def),
inference(superposition,[status(thm)],[c_12241,c_12726]) ).
cnf(c_16529,plain,
( inverse(inverse(sP9_iProver_def)) != sk_c8
| sk_c9 != sP10_iProver_def
| ~ sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_16526,c_503]) ).
cnf(c_16542,plain,
( identity = sP10_iProver_def
| sP5_iProver_def = sP13_iProver_def ),
inference(demodulation,[status(thm)],[c_13000,c_16520]) ).
cnf(c_16544,plain,
( sk_c9 = sP17_iProver_def
| identity = sP10_iProver_def ),
inference(demodulation,[status(thm)],[c_2104,c_16520]) ).
cnf(c_16545,plain,
( sk_c9 = sP14_iProver_def
| identity = sP10_iProver_def ),
inference(demodulation,[status(thm)],[c_1193,c_16520]) ).
cnf(c_16546,plain,
( sk_c8 = sP5_iProver_def
| identity = sP10_iProver_def ),
inference(demodulation,[status(thm)],[c_1064,c_16520]) ).
cnf(c_16742,plain,
inverse(sP9_iProver_def) = sk_c5,
inference(demodulation,[status(thm)],[c_16528,c_12726]) ).
cnf(c_17023,plain,
( identity = sP10_iProver_def
| sP14_iProver_def = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_16545,c_16544]) ).
cnf(c_17060,plain,
( multiply(sk_c2,sP14_iProver_def) = sP15_iProver_def
| identity = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_16545,c_508]) ).
cnf(c_17374,plain,
( sk_c8 = sP9_iProver_def
| identity = sP10_iProver_def
| sP5_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_16546,c_542]) ).
cnf(c_17507,plain,
multiply(sk_c6,sP6_iProver_def) = identity,
inference(superposition,[status(thm)],[c_12242,c_93]) ).
cnf(c_17515,plain,
multiply(sk_c6,identity) = inverse(sP6_iProver_def),
inference(superposition,[status(thm)],[c_12242,c_12726]) ).
cnf(c_17717,plain,
inverse(sP6_iProver_def) = sk_c6,
inference(demodulation,[status(thm)],[c_17515,c_12726]) ).
cnf(c_18255,plain,
( sk_c7 = sP8_iProver_def
| sP14_iProver_def = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_16336,c_4993]) ).
cnf(c_18405,plain,
( sk_c9 = sP17_iProver_def
| sP7_iProver_def = sP8_iProver_def
| sP14_iProver_def = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_18255,c_554]) ).
cnf(c_18408,plain,
( sk_c9 = sP14_iProver_def
| sP7_iProver_def = sP8_iProver_def
| sP14_iProver_def = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_18255,c_533]) ).
cnf(c_18577,plain,
multiply(sk_c1,sP16_iProver_def) = identity,
inference(superposition,[status(thm)],[c_12243,c_93]) ).
cnf(c_18600,plain,
( sk_c9 = sP10_iProver_def
| identity = sP17_iProver_def ),
inference(demodulation,[status(thm)],[c_1805,c_18577]) ).
cnf(c_18601,plain,
( sk_c8 = sP9_iProver_def
| identity = sP17_iProver_def ),
inference(demodulation,[status(thm)],[c_1767,c_18577]) ).
cnf(c_18603,plain,
( sk_c9 = sP6_iProver_def
| identity = sP17_iProver_def ),
inference(demodulation,[status(thm)],[c_1671,c_18577]) ).
cnf(c_19326,plain,
( multiply(sk_c5,sP9_iProver_def) = sP10_iProver_def
| identity = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_18601,c_503]) ).
cnf(c_19336,plain,
( identity = sP10_iProver_def
| identity = sP17_iProver_def ),
inference(light_normalisation,[status(thm)],[c_19326,c_16520]) ).
cnf(c_20146,plain,
( identity = sP17_iProver_def
| sP6_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_18603,c_18600]) ).
cnf(c_20995,plain,
( sk_c7 = sP8_iProver_def
| sP5_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_16366,c_4523]) ).
cnf(c_21403,plain,
( sk_c8 = sP15_iProver_def
| sP5_iProver_def = sP15_iProver_def
| sP7_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_20995,c_540]) ).
cnf(c_21407,plain,
( sk_c8 = sP5_iProver_def
| sP5_iProver_def = sP15_iProver_def
| sP7_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_20995,c_519]) ).
cnf(c_21710,plain,
multiply(sk_c2,sP14_iProver_def) = identity,
inference(superposition,[status(thm)],[c_12244,c_93]) ).
cnf(c_21718,plain,
multiply(sk_c2,identity) = inverse(sP14_iProver_def),
inference(superposition,[status(thm)],[c_12244,c_12726]) ).
cnf(c_21735,plain,
( identity = sP15_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(demodulation,[status(thm)],[c_3468,c_21710]) ).
cnf(c_21737,plain,
( sk_c9 = sP10_iProver_def
| identity = sP15_iProver_def ),
inference(demodulation,[status(thm)],[c_1241,c_21710]) ).
cnf(c_21738,plain,
( sk_c9 = sP6_iProver_def
| identity = sP15_iProver_def ),
inference(demodulation,[status(thm)],[c_1093,c_21710]) ).
cnf(c_22482,plain,
inverse(sP14_iProver_def) = sk_c2,
inference(demodulation,[status(thm)],[c_21718,c_12726]) ).
cnf(c_22556,plain,
( multiply(inverse(sP10_iProver_def),sP8_iProver_def) = sk_c7
| identity = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_21737,c_12089]) ).
cnf(c_22591,plain,
( multiply(sk_c2,sP10_iProver_def) = sP15_iProver_def
| identity = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_21737,c_508]) ).
cnf(c_22592,plain,
( multiply(sP10_iProver_def,sk_c7) = sP8_iProver_def
| identity = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_21737,c_501]) ).
cnf(c_22900,plain,
( identity = sP15_iProver_def
| sP6_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_21738,c_21737]) ).
cnf(c_22921,plain,
( multiply(sP6_iProver_def,sP7_iProver_def) = sP8_iProver_def
| sk_c9 = sP17_iProver_def
| identity = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_21738,c_1935]) ).
cnf(c_22998,plain,
( sk_c9 = sP8_iProver_def
| sk_c9 = sP17_iProver_def
| identity = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_22921,c_5931]) ).
cnf(c_23201,plain,
( multiply(sk_c5,sP9_iProver_def) = sP10_iProver_def
| identity = sP10_iProver_def
| sP5_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_17374,c_503]) ).
cnf(c_23214,plain,
( identity = sP10_iProver_def
| sP5_iProver_def = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_23201,c_16520]) ).
cnf(c_23907,plain,
( sP6_iProver_def = sP10_iProver_def
| sP15_iProver_def = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_22900,c_20146]) ).
cnf(c_24755,plain,
( sP7_iProver_def = sP8_iProver_def
| sP14_iProver_def = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_18408,c_18405]) ).
cnf(c_24882,plain,
( identity = sP10_iProver_def
| identity = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_17060,c_21710]) ).
cnf(c_24914,plain,
( identity = sP10_iProver_def
| sP15_iProver_def = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_24882,c_19336]) ).
cnf(c_26610,plain,
( sP5_iProver_def = sP15_iProver_def
| sP7_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_21407,c_21403]) ).
cnf(c_26864,plain,
( sP6_iProver_def = sP10_iProver_def
| sP14_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_23907,c_4821]) ).
cnf(c_31074,plain,
( multiply(sP14_iProver_def,sP5_iProver_def) = sk_c9
| sP7_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_26610,c_5593]) ).
cnf(c_31355,plain,
( sP5_iProver_def = sP14_iProver_def
| sP6_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_26864,c_4303]) ).
cnf(c_32974,plain,
( inverse(inverse(sP5_iProver_def)) != sP5_iProver_def
| sk_c9 != identity
| ~ sP3_iProver_def
| identity = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_16546,c_2720]) ).
cnf(c_33019,plain,
( inverse(inverse(sP5_iProver_def)) != sP5_iProver_def
| sk_c9 != identity
| ~ sP3_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_518,c_2720]) ).
cnf(c_33469,plain,
( inverse(inverse(sP10_iProver_def)) != sk_c8
| sk_c8 != identity
| ~ sP0_iProver_def
| identity = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_21737,c_3209]) ).
cnf(c_34657,plain,
( multiply(sP5_iProver_def,sP15_iProver_def) = sk_c9
| sP6_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_31355,c_5593]) ).
cnf(c_39422,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_34657,c_33469,c_33019,c_32974,c_31074,c_26610,c_24914,c_24882,c_24755,c_23214,c_22998,c_22900,c_22592,c_22591,c_22556,c_22482,c_21738,c_21737,c_21735,c_21718,c_18603,c_18601,c_17717,c_17507,c_17023,c_16742,c_16545,c_16542,c_16529,c_16524,c_16523,c_16528,c_16520,c_15069,c_14574,c_13659,c_13265,c_12946,c_12905,c_12756,c_12424,c_12247,c_12150,c_12089,c_9955,c_7769,c_7578,c_6861,c_6747,c_6427,c_6189,c_5931,c_5585,c_4316,c_4303,c_3353,c_3349,c_3222,c_3209,c_3110,c_3089,c_1337,c_1103,c_524,c_523,c_522,c_521,c_520,c_519,c_518,c_507,c_506,c_505,c_503,c_502,c_501,c_500,c_499]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP256-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.12 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n009.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu May 2 23:54:10 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.17/0.45 Running first-order theorem proving
% 0.17/0.45 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 10.20/2.14 % SZS status Started for theBenchmark.p
% 10.20/2.14 % SZS status Unsatisfiable for theBenchmark.p
% 10.20/2.14
% 10.20/2.14 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 10.20/2.14
% 10.20/2.14 ------ iProver source info
% 10.20/2.14
% 10.20/2.14 git: date: 2024-05-02 19:28:25 +0000
% 10.20/2.14 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 10.20/2.14 git: non_committed_changes: false
% 10.20/2.14
% 10.20/2.14 ------ Parsing...successful
% 10.20/2.14
% 10.20/2.14
% 10.20/2.14
% 10.20/2.14 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 10.20/2.14
% 10.20/2.14 ------ Preprocessing... gs_s sp: 6 0s gs_e snvd_s sp: 0 0s snvd_e
% 10.20/2.14
% 10.20/2.14 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 10.20/2.14 ------ Proving...
% 10.20/2.14 ------ Problem Properties
% 10.20/2.14
% 10.20/2.14
% 10.20/2.14 clauses 64
% 10.20/2.14 conjectures 48
% 10.20/2.14 EPR 43
% 10.20/2.14 Horn 21
% 10.20/2.14 unary 16
% 10.20/2.14 binary 42
% 10.20/2.14 lits 120
% 10.20/2.14 lits eq 110
% 10.20/2.14 fd_pure 0
% 10.20/2.14 fd_pseudo 0
% 10.20/2.14 fd_cond 0
% 10.20/2.14 fd_pseudo_cond 0
% 10.20/2.14 AC symbols 0
% 10.20/2.14
% 10.20/2.14 ------ Schedule dynamic 5 is on
% 10.20/2.14
% 10.20/2.14 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.20/2.14
% 10.20/2.14
% 10.20/2.14 ------
% 10.20/2.14 Current options:
% 10.20/2.14 ------
% 10.20/2.14
% 10.20/2.14
% 10.20/2.14
% 10.20/2.14
% 10.20/2.14 ------ Proving...
% 10.20/2.14
% 10.20/2.14
% 10.20/2.14 % SZS status Unsatisfiable for theBenchmark.p
% 10.20/2.14
% 10.20/2.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.20/2.14
% 10.20/2.14
%------------------------------------------------------------------------------