TSTP Solution File: GRP256-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP256-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n023.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 : Mon Jun 24 06:59:00 EDT 2024
% Result : Unsatisfiable 8.28s 1.63s
% Output : CNFRefutation 8.28s
% 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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c9
| multiply(sk_c9,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c9
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( multiply(sk_c9,sk_c7) = sk_c8
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c7
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_72,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
cnf(c_76,negated_conjecture,
( inverse(sk_c6) = sk_c9
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
cnf(c_79,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_80,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
cnf(c_81,negated_conjecture,
( multiply(sk_c9,sk_c7) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
cnf(c_82,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c7
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
cnf(c_83,negated_conjecture,
( inverse(sk_c6) = sk_c9
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
cnf(c_92,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_93,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_94,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/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_526,negated_conjecture,
( sP7_iProver_def = sk_c7
| sP13_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_82]) ).
cnf(c_527,negated_conjecture,
( sP8_iProver_def = sk_c8
| sP13_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_81]) ).
cnf(c_528,negated_conjecture,
( sP9_iProver_def = sk_c8
| sP13_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_80]) ).
cnf(c_529,negated_conjecture,
( sP10_iProver_def = sk_c9
| sP13_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_79]) ).
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_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_547,negated_conjecture,
( sP7_iProver_def = sk_c7
| sP16_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_61]) ).
cnf(c_548,negated_conjecture,
( sP8_iProver_def = sk_c8
| sP16_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_60]) ).
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_555,negated_conjecture,
( sP8_iProver_def = sk_c8
| sP17_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_53]) ).
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_1049,plain,
( multiply(sk_c9,sP7_iProver_def) = sP8_iProver_def
| sk_c8 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_526,c_501]) ).
cnf(c_1050,plain,
( multiply(sk_c9,sP7_iProver_def) = sP8_iProver_def
| sk_c8 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_519,c_501]) ).
cnf(c_1058,plain,
( multiply(sk_c5,sP13_iProver_def) = sP10_iProver_def
| sk_c9 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_529,c_503]) ).
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_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_1126,plain,
( multiply(sk_c9,sP7_iProver_def) = sP8_iProver_def
| sk_c9 = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_533,c_501]) ).
cnf(c_1142,plain,
( multiply(sk_c5,sP8_iProver_def) = sP10_iProver_def
| sk_c9 = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_534,c_503]) ).
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_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_1253,plain,
( sk_c8 != X0
| sP13_iProver_def != X0
| sk_c8 = sP13_iProver_def ),
inference(instantiation,[status(thm)],[c_561]) ).
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_1389,plain,
( sk_c8 != sk_c8
| sP13_iProver_def != sk_c8
| sk_c8 = sP13_iProver_def ),
inference(instantiation,[status(thm)],[c_1253]) ).
cnf(c_1390,plain,
sk_c8 = sk_c8,
inference(instantiation,[status(thm)],[c_560]) ).
cnf(c_1410,plain,
( multiply(sk_c5,sP15_iProver_def) = sP10_iProver_def
| sk_c8 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_541,c_503]) ).
cnf(c_1414,plain,
( sk_c8 = sP8_iProver_def
| sP13_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_541,c_527]) ).
cnf(c_1493,plain,
( sk_c8 = sP9_iProver_def
| sP13_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_542,c_528]) ).
cnf(c_1563,plain,
( multiply(sk_c5,sP15_iProver_def) = sP10_iProver_def
| sk_c9 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_543,c_503]) ).
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_1727,plain,
( multiply(sk_c1,sP16_iProver_def) = sP17_iProver_def
| sk_c8 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_548,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_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_1912,plain,
( sk_c9 = sP6_iProver_def
| sP14_iProver_def = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_553,c_532]) ).
cnf(c_2097,plain,
( sk_c9 = sP17_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_556,c_555]) ).
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_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_2553,plain,
( X0 != sk_c8
| sP9_iProver_def != sk_c8
| X0 = sP9_iProver_def ),
inference(instantiation,[status(thm)],[c_1790]) ).
cnf(c_2718,plain,
( inverse(sk_c5) != sk_c8
| sk_c9 != sP10_iProver_def
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_503,c_513]) ).
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_2744,plain,
( sk_c9 != sP10_iProver_def
| sk_c8 != sP9_iProver_def
| ~ sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2718,c_502]) ).
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_3061,plain,
( sP8_iProver_def != sk_c8
| sP9_iProver_def != sk_c8
| sP8_iProver_def = 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_3088,plain,
( inverse(identity) != sk_c9
| sk_c9 != sk_c8
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_92,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_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_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_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_3808,plain,
multiply(sk_c1,multiply(sk_c10,X0)) = multiply(sP17_iProver_def,X0),
inference(superposition,[status(thm)],[c_510,c_94]) ).
cnf(c_3809,plain,
multiply(sk_c4,multiply(sk_c10,X0)) = multiply(sP12_iProver_def,X0),
inference(superposition,[status(thm)],[c_505,c_94]) ).
cnf(c_3810,plain,
multiply(sk_c5,multiply(sk_c8,X0)) = multiply(sP10_iProver_def,X0),
inference(superposition,[status(thm)],[c_503,c_94]) ).
cnf(c_3811,plain,
multiply(sk_c9,multiply(sk_c7,X0)) = multiply(sP8_iProver_def,X0),
inference(superposition,[status(thm)],[c_501,c_94]) ).
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_3813,plain,
multiply(sk_c2,multiply(sk_c9,X0)) = multiply(sP15_iProver_def,X0),
inference(superposition,[status(thm)],[c_508,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_4076,plain,
( sP8_iProver_def = sP9_iProver_def
| sP13_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_1493,c_1414]) ).
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_4611,plain,
( multiply(sk_c6,sP6_iProver_def) = sP7_iProver_def
| sP14_iProver_def = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_1912,c_500]) ).
cnf(c_4713,plain,
( sP8_iProver_def = sP9_iProver_def
| sP14_iProver_def = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_2097,c_1192]) ).
cnf(c_4725,plain,
( multiply(sk_c6,sP17_iProver_def) = sP7_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_2097,c_500]) ).
cnf(c_4726,plain,
( multiply(sk_c3,sP17_iProver_def) = sP5_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_2097,c_498]) ).
cnf(c_5167,plain,
( multiply(sP17_iProver_def,sP7_iProver_def) = sP8_iProver_def
| sk_c8 = sP13_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_2097,c_1049]) ).
cnf(c_5585,plain,
multiply(sP13_iProver_def,sP5_iProver_def) = sk_c9,
inference(superposition,[status(thm)],[c_498,c_3830]) ).
cnf(c_5591,plain,
multiply(sP13_iProver_def,multiply(sP5_iProver_def,X0)) = multiply(sk_c9,X0),
inference(superposition,[status(thm)],[c_5585,c_94]) ).
cnf(c_5593,plain,
multiply(sP14_iProver_def,sP15_iProver_def) = sk_c9,
inference(superposition,[status(thm)],[c_508,c_3831]) ).
cnf(c_5596,plain,
multiply(sP14_iProver_def,multiply(sP15_iProver_def,X0)) = multiply(sk_c9,X0),
inference(superposition,[status(thm)],[c_5593,c_94]) ).
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_5937,plain,
multiply(sP6_iProver_def,multiply(sP7_iProver_def,X0)) = multiply(sk_c9,X0),
inference(superposition,[status(thm)],[c_5931,c_94]) ).
cnf(c_5939,plain,
multiply(sP9_iProver_def,sP10_iProver_def) = sk_c8,
inference(superposition,[status(thm)],[c_503,c_3834]) ).
cnf(c_6068,plain,
multiply(sP9_iProver_def,multiply(sP10_iProver_def,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_5939,c_94]) ).
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_6414,plain,
( multiply(sP9_iProver_def,sP10_iProver_def) = sP8_iProver_def
| sk_c9 = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_1142,c_3834]) ).
cnf(c_6415,plain,
( sk_c9 = sP14_iProver_def
| sk_c8 = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6414,c_5939]) ).
cnf(c_6438,plain,
( multiply(sP14_iProver_def,sP15_iProver_def) = sP14_iProver_def
| sk_c9 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_1241,c_3831]) ).
cnf(c_6439,plain,
( sk_c9 = sP10_iProver_def
| sk_c9 = sP14_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6438,c_5593]) ).
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_6843,plain,
( multiply(sP9_iProver_def,sP10_iProver_def) = sP15_iProver_def
| sk_c8 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_1410,c_3834]) ).
cnf(c_6844,plain,
( sk_c8 = sP8_iProver_def
| sk_c8 = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6843,c_5939]) ).
cnf(c_6932,plain,
( multiply(sP9_iProver_def,sP10_iProver_def) = sP15_iProver_def
| sk_c9 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_1563,c_3834]) ).
cnf(c_6933,plain,
( sk_c9 = sP10_iProver_def
| sk_c8 = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6932,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_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_9884,plain,
( multiply(sP8_iProver_def,sk_c9) != sk_c8
| inverse(sk_c7) != sk_c9
| ~ sP4_iProver_def ),
inference(superposition,[status(thm)],[c_3811,c_512]) ).
cnf(c_9943,plain,
multiply(sk_c6,sP8_iProver_def) = multiply(sP7_iProver_def,sk_c7),
inference(superposition,[status(thm)],[c_501,c_3812]) ).
cnf(c_10048,plain,
multiply(sP6_iProver_def,multiply(sP7_iProver_def,sk_c7)) = sP8_iProver_def,
inference(superposition,[status(thm)],[c_9943,c_3833]) ).
cnf(c_10133,plain,
multiply(sk_c2,sP8_iProver_def) = multiply(sP15_iProver_def,sk_c7),
inference(superposition,[status(thm)],[c_501,c_3813]) ).
cnf(c_10138,plain,
( multiply(sk_c2,sP8_iProver_def) = multiply(sP15_iProver_def,sP7_iProver_def)
| sk_c8 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_1050,c_3813]) ).
cnf(c_10139,plain,
( multiply(sk_c2,sP8_iProver_def) = multiply(sP15_iProver_def,sP7_iProver_def)
| sk_c8 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_1049,c_3813]) ).
cnf(c_10284,plain,
multiply(sP14_iProver_def,multiply(sP15_iProver_def,sk_c7)) = sP8_iProver_def,
inference(superposition,[status(thm)],[c_10133,c_3831]) ).
cnf(c_11427,plain,
( multiply(sP6_iProver_def,sP7_iProver_def) = sP6_iProver_def
| sP14_iProver_def = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_4611,c_3833]) ).
cnf(c_12063,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_3816,c_92]) ).
cnf(c_12073,plain,
multiply(inverse(sk_c9),sP8_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_501,c_12063]) ).
cnf(c_12077,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_92,c_12063]) ).
cnf(c_12078,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_93,c_12063]) ).
cnf(c_12098,plain,
( multiply(inverse(sk_c5),sP10_iProver_def) = sP13_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_1061,c_12063]) ).
cnf(c_12101,plain,
( multiply(inverse(sk_c5),sP10_iProver_def) = sP13_iProver_def
| sk_c9 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_1058,c_12063]) ).
cnf(c_12134,plain,
multiply(inverse(sP13_iProver_def),identity) = sk_c3,
inference(superposition,[status(thm)],[c_1107,c_12063]) ).
cnf(c_12224,plain,
multiply(inverse(sP11_iProver_def),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_3835,c_12063]) ).
cnf(c_12225,plain,
multiply(inverse(sP9_iProver_def),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_3834,c_12063]) ).
cnf(c_12226,plain,
multiply(inverse(sP6_iProver_def),X0) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_3833,c_12063]) ).
cnf(c_12227,plain,
multiply(inverse(sP16_iProver_def),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_3832,c_12063]) ).
cnf(c_12228,plain,
multiply(inverse(sP14_iProver_def),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_3831,c_12063]) ).
cnf(c_12231,plain,
multiply(inverse(sP13_iProver_def),sk_c9) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_5585,c_12063]) ).
cnf(c_12248,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_12063,c_12063]) ).
cnf(c_12401,plain,
( sk_c9 = sP10_iProver_def
| sk_c8 = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_12101,c_502,c_5939]) ).
cnf(c_12408,plain,
( sk_c9 = sP6_iProver_def
| sk_c8 = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_12098,c_502,c_5939]) ).
cnf(c_12710,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_12078,c_12248]) ).
cnf(c_12722,plain,
multiply(sk_c4,sk_c10) = multiply(sP12_iProver_def,identity),
inference(superposition,[status(thm)],[c_12710,c_3809]) ).
cnf(c_12723,plain,
multiply(sk_c1,sk_c10) = multiply(sP17_iProver_def,identity),
inference(superposition,[status(thm)],[c_12710,c_3808]) ).
cnf(c_12725,plain,
multiply(sk_c8,identity) = multiply(sP9_iProver_def,sP10_iProver_def),
inference(superposition,[status(thm)],[c_12710,c_6068]) ).
cnf(c_12726,plain,
multiply(sk_c5,sk_c8) = multiply(sP10_iProver_def,identity),
inference(superposition,[status(thm)],[c_12710,c_3810]) ).
cnf(c_12728,plain,
multiply(sk_c9,identity) = multiply(sP6_iProver_def,sP7_iProver_def),
inference(superposition,[status(thm)],[c_12710,c_5937]) ).
cnf(c_12730,plain,
multiply(sk_c2,sk_c9) = multiply(sP15_iProver_def,identity),
inference(superposition,[status(thm)],[c_12710,c_3813]) ).
cnf(c_12731,plain,
multiply(sk_c6,sk_c9) = multiply(sP7_iProver_def,identity),
inference(superposition,[status(thm)],[c_12710,c_3812]) ).
cnf(c_12732,plain,
multiply(sk_c9,identity) = multiply(sP14_iProver_def,sP15_iProver_def),
inference(superposition,[status(thm)],[c_12710,c_5596]) ).
cnf(c_12733,plain,
multiply(sk_c9,identity) = multiply(sP13_iProver_def,sP5_iProver_def),
inference(superposition,[status(thm)],[c_12710,c_5591]) ).
cnf(c_12740,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_12710,c_12077]) ).
cnf(c_12741,plain,
multiply(sk_c9,identity) = sk_c9,
inference(light_normalisation,[status(thm)],[c_12733,c_5585]) ).
cnf(c_12743,plain,
multiply(sP7_iProver_def,identity) = sP7_iProver_def,
inference(light_normalisation,[status(thm)],[c_12731,c_500]) ).
cnf(c_12744,plain,
multiply(sP15_iProver_def,identity) = sP15_iProver_def,
inference(light_normalisation,[status(thm)],[c_12730,c_508]) ).
cnf(c_12748,plain,
multiply(sP10_iProver_def,identity) = sP10_iProver_def,
inference(light_normalisation,[status(thm)],[c_12726,c_503]) ).
cnf(c_12749,plain,
multiply(sk_c8,identity) = sk_c8,
inference(light_normalisation,[status(thm)],[c_12725,c_5939]) ).
cnf(c_12751,plain,
multiply(sP17_iProver_def,identity) = sP17_iProver_def,
inference(light_normalisation,[status(thm)],[c_12723,c_510]) ).
cnf(c_12752,plain,
multiply(sP12_iProver_def,identity) = sP12_iProver_def,
inference(light_normalisation,[status(thm)],[c_12722,c_505]) ).
cnf(c_12889,plain,
( sP5_iProver_def = sP15_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_2502,c_2501]) ).
cnf(c_13240,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_13242,plain,
~ sP2_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_13240,c_2956,c_7522,c_8008,c_13240]) ).
cnf(c_13244,plain,
( sP0_iProver_def
| sP1_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_511,c_13242]) ).
cnf(c_13300,plain,
( sk_c9 != sP13_iProver_def
| ~ sP1_iProver_def
| sk_c9 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_522,c_3102]) ).
cnf(c_13303,plain,
( sk_c9 != sP13_iProver_def
| ~ sP1_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_518,c_3102]) ).
cnf(c_13637,plain,
( ~ sP1_iProver_def
| sk_c9 = sP10_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_13300,c_3106,c_6439,c_6933]) ).
cnf(c_13643,plain,
( ~ sP1_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_13303,c_3106,c_6189,c_6747]) ).
cnf(c_13775,plain,
( sk_c8 != sP7_iProver_def
| ~ sP1_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_3110,c_3110,c_13643]) ).
cnf(c_13806,plain,
( sP7_iProver_def != sP15_iProver_def
| ~ sP1_iProver_def
| sk_c8 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_541,c_13775]) ).
cnf(c_14240,plain,
( ~ sP1_iProver_def
| sk_c8 = sP8_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_13806,c_3106,c_6415,c_6844]) ).
cnf(c_14305,plain,
( sk_c8 != sP13_iProver_def
| ~ sP0_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_858,c_3222]) ).
cnf(c_14321,plain,
( sk_c8 != sP13_iProver_def
| ~ sP0_iProver_def
| sk_c9 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_522,c_3222]) ).
cnf(c_14324,plain,
( sk_c8 != sP13_iProver_def
| ~ sP0_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_518,c_3222]) ).
cnf(c_14486,plain,
( ~ sP0_iProver_def
| sk_c9 = sP10_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_14321,c_12401,c_14321]) ).
cnf(c_14492,plain,
( ~ sP0_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_14324,c_12408,c_14324]) ).
cnf(c_14930,plain,
multiply(sk_c4,sP11_iProver_def) = identity,
inference(superposition,[status(thm)],[c_12224,c_93]) ).
cnf(c_14952,plain,
( sk_c8 = sP15_iProver_def
| identity = sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_1603,c_14930]) ).
cnf(c_14954,plain,
( sk_c8 = sP5_iProver_def
| identity = sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_1088,c_14930]) ).
cnf(c_15924,plain,
( identity = sP12_iProver_def
| sP5_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_14954,c_14952]) ).
cnf(c_16318,plain,
( multiply(sP12_iProver_def,X0) = X0
| sP5_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_15924,c_92]) ).
cnf(c_16479,plain,
multiply(sk_c5,sP9_iProver_def) = identity,
inference(superposition,[status(thm)],[c_12225,c_93]) ).
cnf(c_16483,plain,
( multiply(sk_c5,sk_c9) != sk_c8
| inverse(inverse(sP9_iProver_def)) != sk_c8
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_12225,c_517]) ).
cnf(c_16485,plain,
( multiply(sk_c5,sk_c8) != sk_c9
| inverse(inverse(sP9_iProver_def)) != sk_c8
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_12225,c_513]) ).
cnf(c_16487,plain,
multiply(sk_c5,identity) = inverse(sP9_iProver_def),
inference(superposition,[status(thm)],[c_12225,c_12710]) ).
cnf(c_16488,plain,
( inverse(inverse(sP9_iProver_def)) != sk_c8
| sk_c9 != sP10_iProver_def
| ~ sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_16485,c_503]) ).
cnf(c_16624,plain,
multiply(sP9_iProver_def,identity) = sP9_iProver_def,
inference(superposition,[status(thm)],[c_16479,c_3834]) ).
cnf(c_16629,plain,
inverse(sP9_iProver_def) = sk_c5,
inference(demodulation,[status(thm)],[c_16487,c_12710]) ).
cnf(c_17465,plain,
multiply(sk_c6,sP6_iProver_def) = identity,
inference(superposition,[status(thm)],[c_12226,c_93]) ).
cnf(c_17468,plain,
( multiply(sk_c9,multiply(sk_c6,sk_c9)) != sk_c8
| inverse(inverse(sP6_iProver_def)) != sk_c9
| ~ sP4_iProver_def ),
inference(superposition,[status(thm)],[c_12226,c_512]) ).
cnf(c_17473,plain,
multiply(sk_c6,identity) = inverse(sP6_iProver_def),
inference(superposition,[status(thm)],[c_12226,c_12710]) ).
cnf(c_17482,plain,
( multiply(sk_c9,sP7_iProver_def) != sk_c8
| inverse(inverse(sP6_iProver_def)) != sk_c9
| ~ sP4_iProver_def ),
inference(light_normalisation,[status(thm)],[c_17468,c_500]) ).
cnf(c_17701,plain,
inverse(sP6_iProver_def) = sk_c6,
inference(demodulation,[status(thm)],[c_17473,c_12710]) ).
cnf(c_18478,plain,
multiply(sk_c1,sP16_iProver_def) = identity,
inference(superposition,[status(thm)],[c_12227,c_93]) ).
cnf(c_18502,plain,
( sk_c8 = sP9_iProver_def
| identity = sP17_iProver_def ),
inference(demodulation,[status(thm)],[c_1767,c_18478]) ).
cnf(c_18503,plain,
( sk_c8 = sP8_iProver_def
| identity = sP17_iProver_def ),
inference(demodulation,[status(thm)],[c_1727,c_18478]) ).
cnf(c_19407,plain,
( identity = sP17_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_18503,c_18502]) ).
cnf(c_20923,plain,
( sk_c7 = sP8_iProver_def
| sP5_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_16318,c_4523]) ).
cnf(c_21261,plain,
( sk_c8 = sP15_iProver_def
| sP5_iProver_def = sP15_iProver_def
| sP7_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_20923,c_540]) ).
cnf(c_21265,plain,
( sk_c8 = sP5_iProver_def
| sP5_iProver_def = sP15_iProver_def
| sP7_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_20923,c_519]) ).
cnf(c_21656,plain,
multiply(sk_c2,sP14_iProver_def) = identity,
inference(superposition,[status(thm)],[c_12228,c_93]) ).
cnf(c_21659,plain,
( multiply(sk_c9,multiply(sk_c2,sk_c9)) != sk_c8
| inverse(inverse(sP14_iProver_def)) != sk_c9
| ~ sP4_iProver_def ),
inference(superposition,[status(thm)],[c_12228,c_512]) ).
cnf(c_21663,plain,
multiply(sk_c2,multiply(sP14_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_12228,c_12063]) ).
cnf(c_21664,plain,
multiply(sk_c2,identity) = inverse(sP14_iProver_def),
inference(superposition,[status(thm)],[c_12228,c_12710]) ).
cnf(c_21681,plain,
( identity = sP15_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(demodulation,[status(thm)],[c_3468,c_21656]) ).
cnf(c_21683,plain,
( sk_c9 = sP10_iProver_def
| identity = sP15_iProver_def ),
inference(demodulation,[status(thm)],[c_1241,c_21656]) ).
cnf(c_22049,plain,
( sP8_iProver_def = sP9_iProver_def
| sP15_iProver_def = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_21681,c_19407]) ).
cnf(c_22444,plain,
inverse(sP14_iProver_def) = sk_c2,
inference(demodulation,[status(thm)],[c_21664,c_12710]) ).
cnf(c_22453,plain,
multiply(sk_c2,identity) = sk_c2,
inference(superposition,[status(thm)],[c_1106,c_21663]) ).
cnf(c_23619,plain,
( multiply(sk_c3,sP15_iProver_def) = sP5_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_22049,c_4726]) ).
cnf(c_23620,plain,
( multiply(sk_c6,sP15_iProver_def) = sP7_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_22049,c_4725]) ).
cnf(c_23638,plain,
( sP8_iProver_def = sP9_iProver_def
| sP14_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_22049,c_4713]) ).
cnf(c_25296,plain,
( sP5_iProver_def = sP14_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_23638,c_12889]) ).
cnf(c_25309,plain,
( sP8_iProver_def = sP9_iProver_def
| sP13_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_23638,c_4076]) ).
cnf(c_26483,plain,
( sP5_iProver_def = sP15_iProver_def
| sP7_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_21265,c_21261]) ).
cnf(c_29497,plain,
( multiply(sP5_iProver_def,sk_c2) = identity
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_25296,c_1106]) ).
cnf(c_31021,plain,
( multiply(sP14_iProver_def,sP5_iProver_def) = sk_c9
| sP7_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_26483,c_5593]) ).
cnf(c_32002,plain,
( sk_c9 != sk_c8
| sk_c9 != identity
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3088,c_12740]) ).
cnf(c_32956,plain,
( inverse(inverse(sP15_iProver_def)) != sP15_iProver_def
| sk_c9 != identity
| ~ sP3_iProver_def
| sk_c9 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_543,c_2720]) ).
cnf(c_32957,plain,
( inverse(inverse(sP15_iProver_def)) != sP15_iProver_def
| sk_c9 != identity
| ~ sP3_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_542,c_2720]) ).
cnf(c_32959,plain,
( inverse(inverse(sP15_iProver_def)) != sP15_iProver_def
| sk_c9 != identity
| ~ sP3_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_539,c_2720]) ).
cnf(c_36411,plain,
( sk_c8 = sP13_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_5167,c_527,c_528,c_1389,c_1390,c_3061]) ).
cnf(c_39627,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_36411,c_32959,c_32957,c_32956,c_32002,c_31021,c_29497,c_25309,c_25296,c_23620,c_23619,c_22453,c_22444,c_21683,c_21659,c_21656,c_18478,c_17701,c_17482,c_17465,c_16629,c_16624,c_16488,c_16483,c_16487,c_14930,c_14492,c_14486,c_14305,c_14240,c_13643,c_13637,c_13244,c_12752,c_12751,c_12749,c_12748,c_12744,c_12743,c_12741,c_12732,c_12731,c_12730,c_12728,c_12726,c_12725,c_12723,c_12722,c_12740,c_12231,c_12134,c_12073,c_11427,c_10284,c_10139,c_10138,c_10133,c_10048,c_9943,c_9884,c_6933,c_3349,c_3222,c_2744,c_1192,c_1126,c_1050,c_559,c_558,c_557,c_556,c_555,c_554,c_553,c_552,c_551,c_550,c_549,c_548,c_547,c_546,c_539,c_507,c_502,c_499]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP256-1 : TPTP v8.2.0. Released v2.5.0.
% 0.03/0.12 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n023.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu Jun 20 12:08:09 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.20/0.45 Running first-order theorem proving
% 0.20/0.45 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 8.28/1.63 % SZS status Started for theBenchmark.p
% 8.28/1.63 % SZS status Unsatisfiable for theBenchmark.p
% 8.28/1.63
% 8.28/1.63 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 8.28/1.63
% 8.28/1.63 ------ iProver source info
% 8.28/1.63
% 8.28/1.63 git: date: 2024-06-12 09:56:46 +0000
% 8.28/1.63 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 8.28/1.63 git: non_committed_changes: false
% 8.28/1.63
% 8.28/1.63 ------ Parsing...successful
% 8.28/1.63
% 8.28/1.63
% 8.28/1.63
% 8.28/1.63 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 8.28/1.63
% 8.28/1.63 ------ Preprocessing... gs_s sp: 6 0s gs_e snvd_s sp: 0 0s snvd_e
% 8.28/1.63
% 8.28/1.63 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 8.28/1.63 ------ Proving...
% 8.28/1.63 ------ Problem Properties
% 8.28/1.63
% 8.28/1.63
% 8.28/1.63 clauses 64
% 8.28/1.63 conjectures 48
% 8.28/1.63 EPR 43
% 8.28/1.63 Horn 21
% 8.28/1.63 unary 16
% 8.28/1.63 binary 42
% 8.28/1.63 lits 120
% 8.28/1.63 lits eq 110
% 8.28/1.63 fd_pure 0
% 8.28/1.63 fd_pseudo 0
% 8.28/1.63 fd_cond 0
% 8.28/1.63 fd_pseudo_cond 0
% 8.28/1.63 AC symbols 0
% 8.28/1.63
% 8.28/1.63 ------ Schedule dynamic 5 is on
% 8.28/1.63
% 8.28/1.63 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.28/1.63
% 8.28/1.63
% 8.28/1.63 ------
% 8.28/1.63 Current options:
% 8.28/1.63 ------
% 8.28/1.63
% 8.28/1.63
% 8.28/1.63
% 8.28/1.63
% 8.28/1.63 ------ Proving...
% 8.28/1.63
% 8.28/1.63
% 8.28/1.63 % SZS status Unsatisfiable for theBenchmark.p
% 8.28/1.63
% 8.28/1.63 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.28/1.63
% 8.28/1.64
%------------------------------------------------------------------------------