TSTP Solution File: GRP390-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP390-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n015.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 02:22:27 EDT 2024
% Result : Unsatisfiable 8.00s 1.67s
% Output : CNFRefutation 8.00s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c8
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( inverse(sk_c8) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c8
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( inverse(sk_c4) = sk_c9
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_59,negated_conjecture,
( inverse(sk_c6) = sk_c9
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c9
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c9
| multiply(sk_c1,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c8
| multiply(sk_c2,sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c8
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c8
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( inverse(sk_c4) = sk_c9
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_85,negated_conjecture,
( multiply(X0,X1) != sk_c8
| multiply(X1,sk_c7) != sk_c8
| multiply(X2,sk_c8) != sk_c9
| multiply(X3,sk_c9) != sk_c8
| multiply(X4,sk_c8) != sk_c7
| multiply(X5,sk_c8) != sk_c9
| inverse(X0) != X1
| inverse(X2) != sk_c9
| inverse(X3) != sk_c9
| inverse(X4) != sk_c8
| inverse(X5) != sk_c9
| inverse(sk_c8) != sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
cnf(c_86,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_87,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_88,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_89,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c8
| multiply(inverse(X0),sk_c7) != sk_c8
| multiply(X1,sk_c8) != sk_c9
| multiply(X2,sk_c9) != sk_c8
| multiply(X3,sk_c8) != sk_c7
| multiply(X4,sk_c8) != sk_c9
| inverse(X1) != sk_c9
| inverse(X2) != sk_c9
| inverse(X3) != sk_c8
| inverse(X4) != sk_c9
| inverse(sk_c8) != sk_c7 ),
inference(unflattening,[status(thm)],[c_85]) ).
cnf(c_434,negated_conjecture,
( multiply(X0,sk_c9) != sk_c8
| inverse(X0) != sk_c9
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_89]) ).
cnf(c_435,negated_conjecture,
( multiply(X0,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_89]) ).
cnf(c_436,negated_conjecture,
( multiply(X0,sk_c8) != sk_c9
| inverse(X0) != sk_c9
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_89]) ).
cnf(c_437,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c8
| multiply(inverse(X0),sk_c7) != sk_c8
| ~ sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_89]) ).
cnf(c_438,negated_conjecture,
( inverse(sk_c8) != sk_c7
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_89]) ).
cnf(c_439,plain,
inverse(sk_c8) = sP4_iProver_def,
definition ).
cnf(c_440,plain,
multiply(sk_c6,sk_c8) = sP5_iProver_def,
definition ).
cnf(c_442,plain,
inverse(sk_c6) = sP7_iProver_def,
definition ).
cnf(c_443,plain,
inverse(sk_c5) = sP8_iProver_def,
definition ).
cnf(c_444,plain,
multiply(sk_c5,sk_c8) = sP9_iProver_def,
definition ).
cnf(c_445,plain,
inverse(sk_c4) = sP10_iProver_def,
definition ).
cnf(c_446,plain,
multiply(sk_c4,sk_c9) = sP11_iProver_def,
definition ).
cnf(c_447,plain,
inverse(sk_c2) = sP12_iProver_def,
definition ).
cnf(c_448,plain,
multiply(sk_c2,sk_c3) = sP13_iProver_def,
definition ).
cnf(c_449,plain,
multiply(sk_c1,sk_c8) = sP14_iProver_def,
definition ).
cnf(c_450,plain,
inverse(sk_c1) = sP15_iProver_def,
definition ).
cnf(c_451,negated_conjecture,
( sP4_iProver_def != sk_c7
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_438,c_439]) ).
cnf(c_452,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c8
| multiply(inverse(X0),sk_c7) != sk_c8
| ~ sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_437]) ).
cnf(c_454,negated_conjecture,
( multiply(X0,sk_c8) != sk_c9
| inverse(X0) != sk_c9
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_436]) ).
cnf(c_455,negated_conjecture,
( multiply(X0,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_435]) ).
cnf(c_456,negated_conjecture,
( multiply(X0,sk_c9) != sk_c8
| inverse(X0) != sk_c9
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_434]) ).
cnf(c_467,negated_conjecture,
( sP10_iProver_def = sk_c9
| sP12_iProver_def = sk_c3 ),
inference(demodulation,[status(thm)],[c_74]) ).
cnf(c_468,negated_conjecture,
( sP11_iProver_def = sk_c8
| sP12_iProver_def = sk_c3 ),
inference(demodulation,[status(thm)],[c_73]) ).
cnf(c_473,negated_conjecture,
( sP10_iProver_def = sk_c9
| sP13_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_68]) ).
cnf(c_474,negated_conjecture,
( sP11_iProver_def = sk_c8
| sP13_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_67]) ).
cnf(c_475,negated_conjecture,
( sP5_iProver_def = sk_c9
| sP14_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_66,c_449]) ).
cnf(c_476,negated_conjecture,
( sP7_iProver_def = sk_c9
| sP14_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_65]) ).
cnf(c_481,negated_conjecture,
( sP5_iProver_def = sk_c9
| sP15_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_60,c_450]) ).
cnf(c_482,negated_conjecture,
( sP7_iProver_def = sk_c9
| sP15_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_59]) ).
cnf(c_485,negated_conjecture,
( sP10_iProver_def = sk_c9
| sP15_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_486,negated_conjecture,
( sP11_iProver_def = sk_c8
| sP15_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_489,negated_conjecture,
( sP4_iProver_def = sk_c7
| sP8_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_490,negated_conjecture,
( sP4_iProver_def = sk_c7
| sP9_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_492,negated_conjecture,
( sP4_iProver_def = sk_c7
| sP11_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_493,plain,
X0 = X0,
theory(equality) ).
cnf(c_494,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_905,plain,
( multiply(sk_c2,sP12_iProver_def) = sP13_iProver_def
| sk_c8 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_468,c_448]) ).
cnf(c_906,plain,
( multiply(sk_c2,sP12_iProver_def) = sP13_iProver_def
| sk_c9 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_467,c_448]) ).
cnf(c_932,plain,
multiply(sP4_iProver_def,sk_c8) = identity,
inference(superposition,[status(thm)],[c_439,c_87]) ).
cnf(c_933,plain,
multiply(sP10_iProver_def,sk_c4) = identity,
inference(superposition,[status(thm)],[c_445,c_87]) ).
cnf(c_934,plain,
multiply(sP8_iProver_def,sk_c5) = identity,
inference(superposition,[status(thm)],[c_443,c_87]) ).
cnf(c_936,plain,
multiply(sP15_iProver_def,sk_c1) = identity,
inference(superposition,[status(thm)],[c_450,c_87]) ).
cnf(c_937,plain,
multiply(sP12_iProver_def,sk_c2) = identity,
inference(superposition,[status(thm)],[c_447,c_87]) ).
cnf(c_947,plain,
( sk_c7 != X0
| sP4_iProver_def != X0
| sP4_iProver_def = sk_c7 ),
inference(instantiation,[status(thm)],[c_494]) ).
cnf(c_950,plain,
( X0 != X1
| sk_c7 != X1
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_494]) ).
cnf(c_970,plain,
( X0 != sk_c7
| sk_c7 != sk_c7
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_950]) ).
cnf(c_971,plain,
sk_c7 = sk_c7,
inference(instantiation,[status(thm)],[c_493]) ).
cnf(c_1010,plain,
( sk_c7 != sk_c7
| sP9_iProver_def != sk_c7
| sk_c7 = sP9_iProver_def ),
inference(instantiation,[status(thm)],[c_970]) ).
cnf(c_1023,plain,
( multiply(sk_c4,sP14_iProver_def) = sP11_iProver_def
| sk_c9 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_475,c_446]) ).
cnf(c_1049,plain,
( sk_c7 != sP9_iProver_def
| sP4_iProver_def != sP9_iProver_def
| sP4_iProver_def = sk_c7 ),
inference(instantiation,[status(thm)],[c_947]) ).
cnf(c_1074,plain,
( multiply(sk_c4,sP14_iProver_def) = sP11_iProver_def
| sk_c9 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_476,c_446]) ).
cnf(c_1281,plain,
( multiply(sk_c4,sP15_iProver_def) = sP11_iProver_def
| sk_c9 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_481,c_446]) ).
cnf(c_1349,plain,
( multiply(sk_c4,sP15_iProver_def) = sP11_iProver_def
| sk_c9 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_482,c_446]) ).
cnf(c_1389,plain,
( sk_c7 != sk_c7
| sP4_iProver_def != sk_c7
| sk_c7 = sP4_iProver_def ),
inference(instantiation,[status(thm)],[c_970]) ).
cnf(c_1725,plain,
( sk_c8 = sP8_iProver_def
| sk_c7 = sP4_iProver_def
| sP4_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_490,c_489]) ).
cnf(c_1858,plain,
( sk_c8 = sP11_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_492,c_451]) ).
cnf(c_1860,plain,
( sP4_iProver_def != sP9_iProver_def
| sk_c7 = sP4_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_490,c_451]) ).
cnf(c_1861,plain,
( sk_c8 = sP8_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_489,c_451]) ).
cnf(c_1980,plain,
( inverse(sk_c6) != sk_c9
| sk_c9 != sP5_iProver_def
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_440,c_454]) ).
cnf(c_1981,plain,
( inverse(sk_c1) != sk_c9
| sk_c9 != sP14_iProver_def
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_449,c_454]) ).
cnf(c_1995,plain,
( sk_c9 != sP14_iProver_def
| sk_c9 != sP15_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1981,c_450]) ).
cnf(c_1999,plain,
( sk_c9 != sP5_iProver_def
| sk_c9 != sP7_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1980,c_442]) ).
cnf(c_2059,plain,
( inverse(sk_c5) != sk_c8
| sk_c7 != sP9_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_444,c_455]) ).
cnf(c_2064,plain,
( inverse(sP4_iProver_def) != sk_c8
| sk_c7 != identity
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_932,c_455]) ).
cnf(c_2083,plain,
( sk_c8 != sP8_iProver_def
| sk_c7 != sP9_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2059,c_443]) ).
cnf(c_2189,plain,
multiply(sk_c5,multiply(sk_c8,X0)) = multiply(sP9_iProver_def,X0),
inference(superposition,[status(thm)],[c_444,c_88]) ).
cnf(c_2195,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_87,c_88]) ).
cnf(c_2197,plain,
multiply(sP4_iProver_def,multiply(sk_c8,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_932,c_88]) ).
cnf(c_2198,plain,
multiply(sP10_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_933,c_88]) ).
cnf(c_2199,plain,
multiply(sP8_iProver_def,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_934,c_88]) ).
cnf(c_2201,plain,
multiply(sP15_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_936,c_88]) ).
cnf(c_2202,plain,
multiply(sP12_iProver_def,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_937,c_88]) ).
cnf(c_2206,plain,
multiply(sP12_iProver_def,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2202,c_86]) ).
cnf(c_2207,plain,
multiply(sP15_iProver_def,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2201,c_86]) ).
cnf(c_2209,plain,
multiply(sP8_iProver_def,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2199,c_86]) ).
cnf(c_2210,plain,
multiply(sP10_iProver_def,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2198,c_86]) ).
cnf(c_2211,plain,
multiply(sP4_iProver_def,multiply(sk_c8,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2197,c_86]) ).
cnf(c_2825,plain,
( inverse(sk_c4) != sk_c9
| sk_c8 != sP11_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_446,c_456]) ).
cnf(c_2827,plain,
( inverse(inverse(sk_c9)) != sk_c9
| sk_c8 != identity
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_87,c_456]) ).
cnf(c_2849,plain,
( sk_c8 != sP11_iProver_def
| sk_c9 != sP10_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2825,c_445]) ).
cnf(c_3004,plain,
( multiply(sk_c7,inverse(sk_c7)) != sk_c8
| sk_c8 != identity
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_87,c_452]) ).
cnf(c_4050,plain,
multiply(sP10_iProver_def,sP11_iProver_def) = sk_c9,
inference(superposition,[status(thm)],[c_446,c_2210]) ).
cnf(c_5249,plain,
( multiply(sP10_iProver_def,sP11_iProver_def) = sP14_iProver_def
| sk_c9 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_1023,c_2210]) ).
cnf(c_5250,plain,
( sk_c9 = sP5_iProver_def
| sk_c9 = sP14_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5249,c_4050]) ).
cnf(c_5268,plain,
( multiply(sP10_iProver_def,sP11_iProver_def) = sP14_iProver_def
| sk_c9 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_1074,c_2210]) ).
cnf(c_5269,plain,
( sk_c9 = sP7_iProver_def
| sk_c9 = sP14_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5268,c_4050]) ).
cnf(c_5341,plain,
( multiply(sP10_iProver_def,sP11_iProver_def) = sP15_iProver_def
| sk_c9 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_1281,c_2210]) ).
cnf(c_5342,plain,
( sk_c9 = sP5_iProver_def
| sk_c9 = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5341,c_4050]) ).
cnf(c_5357,plain,
( multiply(sP10_iProver_def,sP11_iProver_def) = sP15_iProver_def
| sk_c9 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_1349,c_2210]) ).
cnf(c_5358,plain,
( sk_c9 = sP7_iProver_def
| sk_c9 = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5357,c_4050]) ).
cnf(c_7215,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2195,c_86]) ).
cnf(c_7241,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_86,c_7215]) ).
cnf(c_7242,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_87,c_7215]) ).
cnf(c_7350,plain,
multiply(inverse(sP4_iProver_def),X0) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_2211,c_7215]) ).
cnf(c_7351,plain,
multiply(inverse(sP10_iProver_def),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_2210,c_7215]) ).
cnf(c_7352,plain,
multiply(inverse(sP8_iProver_def),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_2209,c_7215]) ).
cnf(c_7354,plain,
multiply(inverse(sP15_iProver_def),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_2207,c_7215]) ).
cnf(c_7355,plain,
multiply(inverse(sP12_iProver_def),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_2206,c_7215]) ).
cnf(c_7376,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_7215,c_7215]) ).
cnf(c_7748,plain,
( multiply(identity,inverse(identity)) != sk_c8
| sk_c8 != sk_c7
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_7241,c_452]) ).
cnf(c_7764,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_7242,c_7376]) ).
cnf(c_7789,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_7764,c_7241]) ).
cnf(c_7820,plain,
( sk_c7 = sP4_iProver_def
| sk_c8 = sP8_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_1725,c_490,c_971,c_1010,c_1049,c_1389,c_1725]) ).
cnf(c_7821,plain,
( sk_c8 = sP8_iProver_def
| sk_c7 = sP4_iProver_def ),
inference(renaming,[status(thm)],[c_7820]) ).
cnf(c_7956,plain,
( sk_c9 != sP15_iProver_def
| ~ sP2_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_1995,c_1999,c_1995,c_5250,c_5269]) ).
cnf(c_7958,plain,
~ sP2_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_7956,c_1999,c_5342,c_5358,c_7956]) ).
cnf(c_7962,plain,
( sk_c8 = sP8_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP3_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_1861,c_7958]) ).
cnf(c_7964,plain,
( sk_c8 = sP11_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP3_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_1858,c_7958]) ).
cnf(c_7965,plain,
( sk_c7 != sP4_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP3_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_451,c_7958]) ).
cnf(c_8029,plain,
( sP4_iProver_def != sP9_iProver_def
| sk_c7 = sP4_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_490,c_7965]) ).
cnf(c_8322,plain,
( inverse(inverse(sP4_iProver_def)) != sk_c8
| multiply(sk_c8,sk_c8) != sk_c7
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_7350,c_455]) ).
cnf(c_8325,plain,
multiply(sk_c8,sP4_iProver_def) = identity,
inference(superposition,[status(thm)],[c_7350,c_87]) ).
cnf(c_8328,plain,
multiply(sk_c8,multiply(sP4_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_7350,c_7215]) ).
cnf(c_8329,plain,
multiply(sk_c8,identity) = inverse(sP4_iProver_def),
inference(superposition,[status(thm)],[c_7350,c_7764]) ).
cnf(c_8393,plain,
multiply(sk_c5,identity) = multiply(sP9_iProver_def,sP4_iProver_def),
inference(superposition,[status(thm)],[c_8325,c_2189]) ).
cnf(c_8594,plain,
inverse(sP4_iProver_def) = sk_c8,
inference(demodulation,[status(thm)],[c_8329,c_7764]) ).
cnf(c_9179,plain,
multiply(sP9_iProver_def,sP4_iProver_def) = sk_c5,
inference(demodulation,[status(thm)],[c_8393,c_7764]) ).
cnf(c_9180,plain,
multiply(inverse(sP9_iProver_def),sk_c5) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_9179,c_7215]) ).
cnf(c_9185,plain,
multiply(inverse(sP9_iProver_def),multiply(sk_c5,X0)) = multiply(sP4_iProver_def,X0),
inference(superposition,[status(thm)],[c_9180,c_88]) ).
cnf(c_9878,plain,
multiply(sk_c4,sP10_iProver_def) = identity,
inference(superposition,[status(thm)],[c_7351,c_87]) ).
cnf(c_10180,plain,
( sP4_iProver_def != sP9_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP3_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_8029,c_1860,c_7958,c_7965]) ).
cnf(c_10554,plain,
multiply(sk_c5,sP8_iProver_def) = identity,
inference(superposition,[status(thm)],[c_7352,c_87]) ).
cnf(c_10558,plain,
multiply(sk_c5,identity) = inverse(sP8_iProver_def),
inference(superposition,[status(thm)],[c_7352,c_7764]) ).
cnf(c_10600,plain,
multiply(inverse(sP9_iProver_def),identity) = multiply(sP4_iProver_def,sP8_iProver_def),
inference(superposition,[status(thm)],[c_10554,c_9185]) ).
cnf(c_10604,plain,
inverse(sP8_iProver_def) = sk_c5,
inference(demodulation,[status(thm)],[c_10558,c_7764]) ).
cnf(c_11460,plain,
( sk_c8 != sk_c8
| sk_c7 != identity
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_2064,c_8594]) ).
cnf(c_11461,plain,
( sk_c7 != identity
| ~ sP1_iProver_def ),
inference(equality_resolution_simp,[status(thm)],[c_11460]) ).
cnf(c_11471,plain,
( identity != sP4_iProver_def
| ~ sP1_iProver_def
| sk_c8 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_492,c_11461]) ).
cnf(c_11473,plain,
( identity != sP9_iProver_def
| ~ sP1_iProver_def
| sk_c7 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_490,c_11461]) ).
cnf(c_11578,plain,
( ~ sP1_iProver_def
| sk_c7 = sP4_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_11473,c_490,c_971,c_1010,c_1389,c_2083,c_7821]) ).
cnf(c_11897,plain,
multiply(sk_c1,identity) = inverse(sP15_iProver_def),
inference(superposition,[status(thm)],[c_7354,c_7764]) ).
cnf(c_11979,plain,
inverse(sP15_iProver_def) = sk_c1,
inference(demodulation,[status(thm)],[c_11897,c_7764]) ).
cnf(c_12240,plain,
( inverse(inverse(sP15_iProver_def)) != sP15_iProver_def
| sk_c8 != identity
| ~ sP0_iProver_def
| sk_c8 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_486,c_2827]) ).
cnf(c_12241,plain,
( inverse(inverse(sP15_iProver_def)) != sP15_iProver_def
| sk_c8 != identity
| ~ sP0_iProver_def
| sk_c9 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_485,c_2827]) ).
cnf(c_12291,plain,
( sk_c8 != identity
| sP15_iProver_def != sP15_iProver_def
| ~ sP0_iProver_def
| sk_c9 = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_12241,c_450,c_11979]) ).
cnf(c_12292,plain,
( sk_c8 != identity
| ~ sP0_iProver_def
| sk_c9 = sP10_iProver_def ),
inference(equality_resolution_simp,[status(thm)],[c_12291]) ).
cnf(c_12296,plain,
( sk_c8 != identity
| sP15_iProver_def != sP15_iProver_def
| ~ sP0_iProver_def
| sk_c8 = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_12240,c_450,c_11979]) ).
cnf(c_12297,plain,
( sk_c8 != identity
| ~ sP0_iProver_def
| sk_c8 = sP11_iProver_def ),
inference(equality_resolution_simp,[status(thm)],[c_12296]) ).
cnf(c_12708,plain,
multiply(sk_c2,sP12_iProver_def) = identity,
inference(superposition,[status(thm)],[c_7355,c_87]) ).
cnf(c_12726,plain,
( sk_c9 = sP10_iProver_def
| identity = sP13_iProver_def ),
inference(demodulation,[status(thm)],[c_906,c_12708]) ).
cnf(c_12727,plain,
( sk_c8 = sP11_iProver_def
| identity = sP13_iProver_def ),
inference(demodulation,[status(thm)],[c_905,c_12708]) ).
cnf(c_13667,plain,
( multiply(sk_c4,sP10_iProver_def) = sP11_iProver_def
| identity = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_12726,c_446]) ).
cnf(c_13676,plain,
( identity = sP11_iProver_def
| identity = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_13667,c_9878]) ).
cnf(c_15008,plain,
multiply(sP4_iProver_def,sP8_iProver_def) = inverse(sP9_iProver_def),
inference(demodulation,[status(thm)],[c_10600,c_7764]) ).
cnf(c_15018,plain,
multiply(sk_c8,inverse(sP9_iProver_def)) = sP8_iProver_def,
inference(superposition,[status(thm)],[c_15008,c_8328]) ).
cnf(c_15050,plain,
multiply(sP9_iProver_def,inverse(sP9_iProver_def)) = multiply(sk_c5,sP8_iProver_def),
inference(superposition,[status(thm)],[c_15018,c_2189]) ).
cnf(c_15053,plain,
multiply(sP9_iProver_def,inverse(sP9_iProver_def)) = identity,
inference(light_normalisation,[status(thm)],[c_15050,c_10554]) ).
cnf(c_17114,plain,
( multiply(sP9_iProver_def,inverse(sP9_iProver_def)) != sk_c8
| sk_c8 != identity
| ~ sP3_iProver_def
| sk_c7 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_490,c_3004]) ).
cnf(c_17150,plain,
( sk_c8 != identity
| ~ sP3_iProver_def
| sk_c7 = sP4_iProver_def ),
inference(light_normalisation,[status(thm)],[c_17114,c_15053]) ).
cnf(c_17166,plain,
( multiply(identity,identity) != sk_c8
| sk_c8 != sk_c7
| ~ sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_7748,c_7789]) ).
cnf(c_17167,plain,
( sk_c8 != sk_c7
| sk_c8 != identity
| ~ sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_17166,c_86]) ).
cnf(c_17183,plain,
( sk_c8 != identity
| sk_c8 != sP4_iProver_def
| ~ sP3_iProver_def
| sk_c8 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_492,c_17167]) ).
cnf(c_17260,plain,
( multiply(sk_c8,sk_c8) != sk_c7
| sk_c8 != sP4_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_8322,c_439,c_8594]) ).
cnf(c_25156,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_17260,c_17183,c_17167,c_17150,c_13676,c_12727,c_12297,c_12292,c_11578,c_11471,c_10604,c_10558,c_10180,c_9878,c_8594,c_8329,c_7964,c_7962,c_7789,c_2849,c_932,c_474,c_473,c_446,c_444,c_439]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP390-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 3 00:17:36 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 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
% 8.00/1.67 % SZS status Started for theBenchmark.p
% 8.00/1.67 % SZS status Unsatisfiable for theBenchmark.p
% 8.00/1.67
% 8.00/1.67 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 8.00/1.67
% 8.00/1.67 ------ iProver source info
% 8.00/1.67
% 8.00/1.67 git: date: 2024-05-02 19:28:25 +0000
% 8.00/1.67 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 8.00/1.67 git: non_committed_changes: false
% 8.00/1.67
% 8.00/1.67 ------ Parsing...successful
% 8.00/1.67
% 8.00/1.67
% 8.00/1.67
% 8.00/1.67 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 8.00/1.67
% 8.00/1.67 ------ Preprocessing... gs_s sp: 5 0s gs_e snvd_s sp: 0 0s snvd_e
% 8.00/1.67
% 8.00/1.67 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 8.00/1.67 ------ Proving...
% 8.00/1.67 ------ Problem Properties
% 8.00/1.67
% 8.00/1.67
% 8.00/1.67 clauses 56
% 8.00/1.67 conjectures 41
% 8.00/1.67 EPR 37
% 8.00/1.67 Horn 19
% 8.00/1.67 unary 15
% 8.00/1.67 binary 36
% 8.00/1.67 lits 104
% 8.00/1.67 lits eq 96
% 8.00/1.67 fd_pure 0
% 8.00/1.67 fd_pseudo 0
% 8.00/1.67 fd_cond 0
% 8.00/1.67 fd_pseudo_cond 0
% 8.00/1.67 AC symbols 0
% 8.00/1.67
% 8.00/1.67 ------ Schedule dynamic 5 is on
% 8.00/1.67
% 8.00/1.67 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.00/1.67
% 8.00/1.67
% 8.00/1.67 ------
% 8.00/1.67 Current options:
% 8.00/1.67 ------
% 8.00/1.67
% 8.00/1.67
% 8.00/1.67
% 8.00/1.67
% 8.00/1.67 ------ Proving...
% 8.00/1.67
% 8.00/1.67
% 8.00/1.67 % SZS status Unsatisfiable for theBenchmark.p
% 8.00/1.67
% 8.00/1.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.00/1.67
% 8.00/1.67
%------------------------------------------------------------------------------