TSTP Solution File: GRP341-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP341-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n007.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 02:22:15 EDT 2024
% Result : Unsatisfiable 12.43s 2.70s
% Output : CNFRefutation 12.43s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_51,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c5,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_58,negated_conjecture,
( inverse(sk_c5) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c5,sk_c7) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c6
| multiply(sk_c1,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c5
| multiply(sk_c1,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c5,sk_c7) = sk_c6
| multiply(sk_c1,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| multiply(sk_c1,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c6
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( inverse(sk_c5) = sk_c6
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c5
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( inverse(sk_c4) = sk_c6
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_75,negated_conjecture,
( multiply(sk_c5,sk_c7) = sk_c6
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
cnf(c_76,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
cnf(c_77,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c6
| multiply(sk_c2,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
cnf(c_78,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
cnf(c_79,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c6
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_80,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c5
| multiply(sk_c2,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
cnf(c_81,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c6
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
cnf(c_82,negated_conjecture,
( multiply(sk_c5,sk_c7) = sk_c6
| multiply(sk_c2,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
cnf(c_83,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| multiply(sk_c2,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
cnf(c_84,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| multiply(X1,sk_c5) != sk_c6
| multiply(X2,sk_c7) != sk_c6
| multiply(X3,sk_c6) != sk_c5
| multiply(sk_c6,sk_c7) != sk_c5
| multiply(sk_c5,sk_c6) != sk_c7
| multiply(sk_c5,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| inverse(X1) != sk_c6
| inverse(X2) != sk_c7
| inverse(X3) != sk_c6
| inverse(sk_c5) != sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
cnf(c_85,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_86,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_87,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_428,negated_conjecture,
( multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_84]) ).
cnf(c_429,negated_conjecture,
( multiply(X0,sk_c5) != sk_c6
| inverse(X0) != sk_c6
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_84]) ).
cnf(c_430,negated_conjecture,
( multiply(X0,sk_c6) != sk_c5
| inverse(X0) != sk_c6
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_84]) ).
cnf(c_431,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c7
| ~ sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_84]) ).
cnf(c_432,negated_conjecture,
( multiply(sk_c6,sk_c7) != sk_c5
| multiply(sk_c5,sk_c6) != sk_c7
| multiply(sk_c5,sk_c7) != sk_c6
| inverse(sk_c5) != sk_c6
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_84]) ).
cnf(c_433,plain,
multiply(sk_c6,sk_c7) = sP4_iProver_def,
definition ).
cnf(c_434,plain,
multiply(sk_c5,sk_c6) = sP5_iProver_def,
definition ).
cnf(c_435,plain,
multiply(sk_c5,sk_c7) = sP6_iProver_def,
definition ).
cnf(c_436,plain,
inverse(sk_c5) = sP7_iProver_def,
definition ).
cnf(c_437,plain,
multiply(sk_c2,sk_c5) = sP8_iProver_def,
definition ).
cnf(c_438,plain,
inverse(sk_c4) = sP9_iProver_def,
definition ).
cnf(c_439,plain,
multiply(sk_c4,sk_c6) = sP10_iProver_def,
definition ).
cnf(c_440,plain,
inverse(sk_c3) = sP11_iProver_def,
definition ).
cnf(c_441,plain,
multiply(sk_c3,sk_c7) = sP12_iProver_def,
definition ).
cnf(c_442,plain,
inverse(sk_c2) = sP13_iProver_def,
definition ).
cnf(c_443,plain,
multiply(sk_c1,sk_c6) = sP14_iProver_def,
definition ).
cnf(c_444,plain,
inverse(sk_c1) = sP15_iProver_def,
definition ).
cnf(c_445,negated_conjecture,
( sP4_iProver_def != sk_c5
| sP5_iProver_def != sk_c7
| sP6_iProver_def != sk_c6
| sP7_iProver_def != sk_c6
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_432,c_436,c_435,c_434,c_433]) ).
cnf(c_446,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c7
| ~ sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_431]) ).
cnf(c_447,negated_conjecture,
( multiply(X0,sk_c6) != sk_c5
| inverse(X0) != sk_c6
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_430]) ).
cnf(c_448,negated_conjecture,
( multiply(X0,sk_c5) != sk_c6
| inverse(X0) != sk_c6
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_429]) ).
cnf(c_449,negated_conjecture,
( multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_428]) ).
cnf(c_450,negated_conjecture,
( sP5_iProver_def = sk_c7
| sP8_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_83,c_437]) ).
cnf(c_451,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP8_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_82]) ).
cnf(c_452,negated_conjecture,
( sP8_iProver_def = sk_c6
| sP9_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_81,c_438]) ).
cnf(c_453,negated_conjecture,
( sP8_iProver_def = sk_c6
| sP10_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_80,c_439]) ).
cnf(c_454,negated_conjecture,
( sP7_iProver_def = sk_c6
| sP8_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_79]) ).
cnf(c_455,negated_conjecture,
( sP8_iProver_def = sk_c6
| sP11_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_78,c_440]) ).
cnf(c_456,negated_conjecture,
( sP8_iProver_def = sk_c6
| sP12_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_77,c_441]) ).
cnf(c_457,negated_conjecture,
( sP5_iProver_def = sk_c7
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_76,c_442]) ).
cnf(c_458,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_75]) ).
cnf(c_459,negated_conjecture,
( sP9_iProver_def = sk_c6
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_74]) ).
cnf(c_460,negated_conjecture,
( sP10_iProver_def = sk_c5
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_73]) ).
cnf(c_461,negated_conjecture,
( sP7_iProver_def = sk_c6
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_72]) ).
cnf(c_462,negated_conjecture,
( sP11_iProver_def = sk_c7
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_71]) ).
cnf(c_463,negated_conjecture,
( sP12_iProver_def = sk_c6
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_70]) ).
cnf(c_464,negated_conjecture,
( sP5_iProver_def = sk_c7
| sP14_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_69,c_443]) ).
cnf(c_465,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP14_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_68]) ).
cnf(c_466,negated_conjecture,
( sP9_iProver_def = sk_c6
| sP14_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_67]) ).
cnf(c_467,negated_conjecture,
( sP10_iProver_def = sk_c5
| sP14_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_66]) ).
cnf(c_468,negated_conjecture,
( sP7_iProver_def = sk_c6
| sP14_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_65]) ).
cnf(c_470,negated_conjecture,
( sP12_iProver_def = sk_c6
| sP14_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_63]) ).
cnf(c_471,negated_conjecture,
( sP5_iProver_def = sk_c7
| sP15_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_62,c_444]) ).
cnf(c_472,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP15_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_61]) ).
cnf(c_475,negated_conjecture,
( sP7_iProver_def = sk_c6
| sP15_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_58]) ).
cnf(c_478,negated_conjecture,
( sP4_iProver_def = sk_c5
| sP5_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_479,negated_conjecture,
( sP4_iProver_def = sk_c5
| sP6_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_480,negated_conjecture,
( sP4_iProver_def = sk_c5
| sP9_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_53]) ).
cnf(c_482,negated_conjecture,
( sP4_iProver_def = sk_c5
| sP7_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_813,plain,
( multiply(sk_c5,sP8_iProver_def) = sP5_iProver_def
| sk_c6 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_454,c_434]) ).
cnf(c_815,plain,
( multiply(sk_c5,sP8_iProver_def) = sP5_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_451,c_434]) ).
cnf(c_827,plain,
( multiply(sk_c5,sP5_iProver_def) = sP6_iProver_def
| sk_c6 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_457,c_435]) ).
cnf(c_846,plain,
( multiply(sk_c5,sP13_iProver_def) = sP5_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_458,c_434]) ).
cnf(c_847,plain,
( multiply(sP13_iProver_def,sk_c7) = sP4_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_458,c_433]) ).
cnf(c_875,plain,
( multiply(sk_c5,sP13_iProver_def) = sP5_iProver_def
| sk_c6 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_459,c_434]) ).
cnf(c_876,plain,
( multiply(sP13_iProver_def,sk_c7) = sP4_iProver_def
| sk_c6 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_459,c_433]) ).
cnf(c_918,plain,
( multiply(sk_c5,sP13_iProver_def) = sP5_iProver_def
| sk_c6 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_461,c_434]) ).
cnf(c_919,plain,
( multiply(sP13_iProver_def,sk_c7) = sP4_iProver_def
| sk_c6 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_461,c_433]) ).
cnf(c_944,plain,
( sk_c6 = sP13_iProver_def
| sP5_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_462,c_457]) ).
cnf(c_961,plain,
( multiply(sP13_iProver_def,sk_c7) = sP4_iProver_def
| sk_c6 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_463,c_433]) ).
cnf(c_1181,plain,
multiply(sP11_iProver_def,sk_c3) = identity,
inference(superposition,[status(thm)],[c_440,c_86]) ).
cnf(c_1182,plain,
multiply(sP7_iProver_def,sk_c5) = identity,
inference(superposition,[status(thm)],[c_436,c_86]) ).
cnf(c_1183,plain,
multiply(sP9_iProver_def,sk_c4) = identity,
inference(superposition,[status(thm)],[c_438,c_86]) ).
cnf(c_1184,plain,
multiply(sP15_iProver_def,sk_c1) = identity,
inference(superposition,[status(thm)],[c_444,c_86]) ).
cnf(c_1185,plain,
multiply(sP13_iProver_def,sk_c2) = identity,
inference(superposition,[status(thm)],[c_442,c_86]) ).
cnf(c_1252,plain,
( multiply(sk_c2,sP10_iProver_def) = sP8_iProver_def
| sk_c7 = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_467,c_437]) ).
cnf(c_1253,plain,
( multiply(sP10_iProver_def,sk_c7) = sP6_iProver_def
| sk_c7 = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_467,c_435]) ).
cnf(c_1254,plain,
( multiply(sP10_iProver_def,sk_c6) = sP5_iProver_def
| sk_c7 = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_467,c_434]) ).
cnf(c_1437,plain,
( multiply(sk_c5,sP15_iProver_def) = sP6_iProver_def
| sk_c7 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_471,c_435]) ).
cnf(c_1669,plain,
( multiply(sk_c5,sP15_iProver_def) = sP6_iProver_def
| sk_c6 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_475,c_435]) ).
cnf(c_1911,plain,
( multiply(sP7_iProver_def,sP4_iProver_def) = identity
| sk_c7 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_478,c_1182]) ).
cnf(c_1912,plain,
( multiply(sk_c2,sP4_iProver_def) = sP8_iProver_def
| sk_c7 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_478,c_437]) ).
cnf(c_1991,plain,
( multiply(sk_c2,sP4_iProver_def) = sP8_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_479,c_437]) ).
cnf(c_2144,plain,
( multiply(sP7_iProver_def,sP4_iProver_def) = identity
| sk_c6 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_482,c_1182]) ).
cnf(c_2145,plain,
( multiply(sk_c2,sP4_iProver_def) = sP8_iProver_def
| sk_c6 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_482,c_437]) ).
cnf(c_2455,plain,
( inverse(sk_c5) != sk_c6
| sk_c5 != sP5_iProver_def
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_434,c_447]) ).
cnf(c_2474,plain,
( sk_c6 != sP7_iProver_def
| sk_c5 != sP5_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2455,c_436]) ).
cnf(c_2553,plain,
( inverse(sk_c2) != sk_c6
| sk_c6 != sP8_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_437,c_448]) ).
cnf(c_2574,plain,
( sk_c6 != sP8_iProver_def
| sk_c6 != sP13_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2553,c_442]) ).
cnf(c_2670,plain,
( inverse(sk_c6) != sk_c7
| sk_c6 != sP4_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_433,c_449]) ).
cnf(c_2837,plain,
( sk_c6 != sP6_iProver_def
| sk_c6 != sP7_iProver_def
| sk_c7 != sP5_iProver_def
| sP4_iProver_def != sP10_iProver_def
| sk_c6 = sP8_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_453,c_445]) ).
cnf(c_2974,plain,
multiply(sk_c5,multiply(sk_c6,X0)) = multiply(sP5_iProver_def,X0),
inference(superposition,[status(thm)],[c_434,c_87]) ).
cnf(c_2976,plain,
multiply(sk_c2,multiply(sk_c5,X0)) = multiply(sP8_iProver_def,X0),
inference(superposition,[status(thm)],[c_437,c_87]) ).
cnf(c_2978,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_86,c_87]) ).
cnf(c_2980,plain,
multiply(sP11_iProver_def,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1181,c_87]) ).
cnf(c_2981,plain,
multiply(sP7_iProver_def,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1182,c_87]) ).
cnf(c_2982,plain,
multiply(sP9_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1183,c_87]) ).
cnf(c_2983,plain,
multiply(sP15_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1184,c_87]) ).
cnf(c_2984,plain,
multiply(sP13_iProver_def,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1185,c_87]) ).
cnf(c_2990,plain,
multiply(sP13_iProver_def,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2984,c_85]) ).
cnf(c_2991,plain,
multiply(sP15_iProver_def,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2983,c_85]) ).
cnf(c_2992,plain,
multiply(sP9_iProver_def,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2982,c_85]) ).
cnf(c_2993,plain,
multiply(sP7_iProver_def,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2981,c_85]) ).
cnf(c_2994,plain,
multiply(sP11_iProver_def,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2980,c_85]) ).
cnf(c_4618,plain,
multiply(sP13_iProver_def,sP8_iProver_def) = sk_c5,
inference(superposition,[status(thm)],[c_437,c_2990]) ).
cnf(c_4623,plain,
multiply(sP15_iProver_def,sP14_iProver_def) = sk_c6,
inference(superposition,[status(thm)],[c_443,c_2991]) ).
cnf(c_4633,plain,
multiply(sP7_iProver_def,sP6_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_435,c_2993]) ).
cnf(c_4634,plain,
multiply(sP7_iProver_def,sP5_iProver_def) = sk_c6,
inference(superposition,[status(thm)],[c_434,c_2993]) ).
cnf(c_5025,plain,
multiply(sP7_iProver_def,multiply(sP5_iProver_def,X0)) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_4634,c_87]) ).
cnf(c_5938,plain,
( multiply(sP4_iProver_def,sP8_iProver_def) = sP5_iProver_def
| sk_c6 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_482,c_813]) ).
cnf(c_6097,plain,
( multiply(sP4_iProver_def,sP8_iProver_def) = sP5_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_479,c_815]) ).
cnf(c_6199,plain,
( multiply(sP7_iProver_def,sP6_iProver_def) = sP5_iProver_def
| sk_c6 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_827,c_2993]) ).
cnf(c_6200,plain,
( sk_c6 = sP13_iProver_def
| sk_c7 = sP5_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6199,c_4633]) ).
cnf(c_6394,plain,
( multiply(sP4_iProver_def,sP13_iProver_def) = sP5_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_479,c_846]) ).
cnf(c_6439,plain,
( multiply(sP13_iProver_def,sP14_iProver_def) = sP4_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_465,c_847]) ).
cnf(c_6466,plain,
( multiply(sP4_iProver_def,sP13_iProver_def) = sP5_iProver_def
| sk_c6 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_480,c_875]) ).
cnf(c_6520,plain,
( multiply(sP13_iProver_def,sP14_iProver_def) = sP4_iProver_def
| sk_c6 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_466,c_876]) ).
cnf(c_6777,plain,
( multiply(sP4_iProver_def,sP13_iProver_def) = sP5_iProver_def
| sk_c6 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_482,c_918]) ).
cnf(c_6829,plain,
( multiply(sP13_iProver_def,sP14_iProver_def) = sP4_iProver_def
| sk_c6 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_468,c_919]) ).
cnf(c_7164,plain,
( multiply(sP13_iProver_def,sP14_iProver_def) = sP4_iProver_def
| sk_c6 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_470,c_961]) ).
cnf(c_8569,plain,
( multiply(sP13_iProver_def,sP8_iProver_def) = sP10_iProver_def
| sk_c7 = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_1252,c_2990]) ).
cnf(c_8570,plain,
( sk_c7 = sP14_iProver_def
| sk_c5 = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_8569,c_4618]) ).
cnf(c_8605,plain,
( inverse(sP10_iProver_def) != sk_c7
| sk_c6 != sP6_iProver_def
| ~ sP0_iProver_def
| sk_c7 = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_1253,c_449]) ).
cnf(c_8675,plain,
( inverse(sP10_iProver_def) != sk_c7
| sk_c7 != sP5_iProver_def
| ~ sP3_iProver_def
| sk_c7 = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_1254,c_446]) ).
cnf(c_9317,plain,
( multiply(sP4_iProver_def,sP15_iProver_def) = sP6_iProver_def
| sk_c7 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_478,c_1437]) ).
cnf(c_10176,plain,
( multiply(sP4_iProver_def,sP15_iProver_def) = sP6_iProver_def
| sk_c6 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_482,c_1669]) ).
cnf(c_12878,plain,
multiply(sk_c5,sP4_iProver_def) = multiply(sP5_iProver_def,sk_c7),
inference(superposition,[status(thm)],[c_433,c_2974]) ).
cnf(c_13063,plain,
( multiply(sP4_iProver_def,sP4_iProver_def) = multiply(sP5_iProver_def,sk_c7)
| sk_c6 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_482,c_12878]) ).
cnf(c_13066,plain,
( multiply(sP4_iProver_def,sP4_iProver_def) = multiply(sP5_iProver_def,sk_c7)
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_479,c_12878]) ).
cnf(c_13067,plain,
( multiply(sP4_iProver_def,sP4_iProver_def) = multiply(sP5_iProver_def,sk_c7)
| sk_c7 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_478,c_12878]) ).
cnf(c_13398,plain,
multiply(sk_c2,sP6_iProver_def) = multiply(sP8_iProver_def,sk_c7),
inference(superposition,[status(thm)],[c_435,c_2976]) ).
cnf(c_13579,plain,
multiply(sP13_iProver_def,multiply(sP8_iProver_def,sk_c7)) = sP6_iProver_def,
inference(superposition,[status(thm)],[c_13398,c_2990]) ).
cnf(c_16543,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2978,c_85]) ).
cnf(c_16560,plain,
multiply(inverse(sk_c6),sP4_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_433,c_16543]) ).
cnf(c_16567,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_85,c_16543]) ).
cnf(c_16568,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_86,c_16543]) ).
cnf(c_16569,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_87,c_16543]) ).
cnf(c_16735,plain,
multiply(inverse(sP11_iProver_def),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_2994,c_16543]) ).
cnf(c_16736,plain,
multiply(inverse(sP7_iProver_def),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_2993,c_16543]) ).
cnf(c_16737,plain,
multiply(inverse(sP9_iProver_def),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_2992,c_16543]) ).
cnf(c_16738,plain,
multiply(inverse(sP15_iProver_def),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_2991,c_16543]) ).
cnf(c_16739,plain,
multiply(inverse(sP13_iProver_def),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_2990,c_16543]) ).
cnf(c_16810,plain,
( multiply(inverse(sP4_iProver_def),sP6_iProver_def) = sP15_iProver_def
| sk_c6 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_10176,c_16543]) ).
cnf(c_16813,plain,
( multiply(inverse(sP4_iProver_def),sP6_iProver_def) = sP15_iProver_def
| sk_c7 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_9317,c_16543]) ).
cnf(c_16821,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_16543,c_16543]) ).
cnf(c_17766,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_16568,c_16821]) ).
cnf(c_17792,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_17766,c_16567]) ).
cnf(c_17938,plain,
( multiply(sk_c3,sk_c6) != sk_c7
| inverse(inverse(sP11_iProver_def)) != sk_c7
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_16735,c_446]) ).
cnf(c_17939,plain,
multiply(sk_c3,sP11_iProver_def) = identity,
inference(superposition,[status(thm)],[c_16735,c_86]) ).
cnf(c_17942,plain,
( multiply(sk_c3,sk_c7) != sk_c6
| inverse(inverse(sP11_iProver_def)) != sk_c7
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_16735,c_449]) ).
cnf(c_17945,plain,
multiply(sk_c3,identity) = inverse(sP11_iProver_def),
inference(superposition,[status(thm)],[c_16735,c_17766]) ).
cnf(c_17949,plain,
( inverse(inverse(sP11_iProver_def)) != sk_c7
| sk_c6 != sP12_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_17942,c_441]) ).
cnf(c_18756,plain,
inverse(sP11_iProver_def) = sk_c3,
inference(demodulation,[status(thm)],[c_17945,c_17766]) ).
cnf(c_20158,plain,
multiply(sk_c5,sP7_iProver_def) = identity,
inference(superposition,[status(thm)],[c_16736,c_86]) ).
cnf(c_20162,plain,
( multiply(sk_c5,sk_c5) != sk_c6
| inverse(inverse(sP7_iProver_def)) != sk_c6
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_16736,c_448]) ).
cnf(c_20163,plain,
multiply(sk_c5,multiply(sP7_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_16736,c_16543]) ).
cnf(c_20164,plain,
multiply(sk_c5,identity) = inverse(sP7_iProver_def),
inference(superposition,[status(thm)],[c_16736,c_17766]) ).
cnf(c_21407,plain,
( multiply(sP4_iProver_def,sP7_iProver_def) = identity
| sk_c7 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_478,c_20158]) ).
cnf(c_21410,plain,
( multiply(sP10_iProver_def,sP7_iProver_def) = identity
| sk_c6 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_460,c_20158]) ).
cnf(c_21414,plain,
multiply(sk_c2,identity) = multiply(sP8_iProver_def,sP7_iProver_def),
inference(superposition,[status(thm)],[c_20158,c_2976]) ).
cnf(c_21497,plain,
inverse(sP7_iProver_def) = sk_c5,
inference(demodulation,[status(thm)],[c_20164,c_17766]) ).
cnf(c_21687,plain,
multiply(sP8_iProver_def,sP7_iProver_def) = sk_c2,
inference(demodulation,[status(thm)],[c_21414,c_17766]) ).
cnf(c_21688,plain,
multiply(inverse(sP8_iProver_def),sk_c2) = sP7_iProver_def,
inference(superposition,[status(thm)],[c_21687,c_16543]) ).
cnf(c_21693,plain,
multiply(inverse(sP8_iProver_def),multiply(sk_c2,X0)) = multiply(sP7_iProver_def,X0),
inference(superposition,[status(thm)],[c_21688,c_87]) ).
cnf(c_22185,plain,
( multiply(sk_c4,sk_c6) != sk_c5
| inverse(inverse(sP9_iProver_def)) != sk_c6
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_16737,c_447]) ).
cnf(c_22187,plain,
multiply(sk_c4,sP9_iProver_def) = identity,
inference(superposition,[status(thm)],[c_16737,c_86]) ).
cnf(c_22191,plain,
( multiply(sk_c4,sk_c5) != sk_c6
| inverse(inverse(sP9_iProver_def)) != sk_c6
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_16737,c_448]) ).
cnf(c_22193,plain,
multiply(sk_c4,identity) = inverse(sP9_iProver_def),
inference(superposition,[status(thm)],[c_16737,c_17766]) ).
cnf(c_22204,plain,
( inverse(inverse(sP9_iProver_def)) != sk_c6
| sk_c5 != sP10_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_22185,c_439]) ).
cnf(c_24000,plain,
inverse(sP9_iProver_def) = sk_c4,
inference(demodulation,[status(thm)],[c_22193,c_17766]) ).
cnf(c_25043,plain,
( multiply(sk_c1,sk_c6) != sk_c7
| inverse(inverse(sP15_iProver_def)) != sk_c7
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_16738,c_446]) ).
cnf(c_25044,plain,
multiply(sk_c1,sP15_iProver_def) = identity,
inference(superposition,[status(thm)],[c_16738,c_86]) ).
cnf(c_25050,plain,
multiply(sk_c1,identity) = inverse(sP15_iProver_def),
inference(superposition,[status(thm)],[c_16738,c_17766]) ).
cnf(c_25093,plain,
( inverse(inverse(sP15_iProver_def)) != sk_c7
| sk_c7 != sP14_iProver_def
| ~ sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_25043,c_443]) ).
cnf(c_25559,plain,
inverse(sP15_iProver_def) = sk_c1,
inference(demodulation,[status(thm)],[c_25050,c_17766]) ).
cnf(c_26573,plain,
( multiply(sk_c2,sk_c6) != sk_c5
| inverse(inverse(sP13_iProver_def)) != sk_c6
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_16739,c_447]) ).
cnf(c_26575,plain,
multiply(sk_c2,sP13_iProver_def) = identity,
inference(superposition,[status(thm)],[c_16739,c_86]) ).
cnf(c_26580,plain,
multiply(sk_c2,multiply(sP13_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_16739,c_16543]) ).
cnf(c_26581,plain,
multiply(sk_c2,identity) = inverse(sP13_iProver_def),
inference(superposition,[status(thm)],[c_16739,c_17766]) ).
cnf(c_26905,plain,
inverse(sP13_iProver_def) = sk_c2,
inference(demodulation,[status(thm)],[c_26581,c_17766]) ).
cnf(c_26951,plain,
( multiply(sk_c2,sP4_iProver_def) = sP14_iProver_def
| sk_c6 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_7164,c_26580]) ).
cnf(c_26952,plain,
( multiply(sk_c2,sP4_iProver_def) = sP14_iProver_def
| sk_c6 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_6829,c_26580]) ).
cnf(c_26953,plain,
( multiply(sk_c2,sP4_iProver_def) = sP14_iProver_def
| sk_c6 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_6520,c_26580]) ).
cnf(c_26954,plain,
( multiply(sk_c2,sP4_iProver_def) = sP14_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_6439,c_26580]) ).
cnf(c_27179,plain,
multiply(inverse(sP8_iProver_def),identity) = multiply(sP7_iProver_def,sP13_iProver_def),
inference(superposition,[status(thm)],[c_26575,c_21693]) ).
cnf(c_33664,plain,
( multiply(sP4_iProver_def,sP4_iProver_def) = multiply(sP5_iProver_def,sP15_iProver_def)
| sk_c6 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_475,c_13063]) ).
cnf(c_33670,plain,
( multiply(sP4_iProver_def,sP4_iProver_def) = multiply(sP5_iProver_def,sP14_iProver_def)
| sk_c6 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_468,c_13063]) ).
cnf(c_33990,plain,
( multiply(sP4_iProver_def,sP4_iProver_def) = multiply(sP5_iProver_def,sP15_iProver_def)
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_472,c_13066]) ).
cnf(c_33996,plain,
( multiply(sP4_iProver_def,sP4_iProver_def) = multiply(sP5_iProver_def,sP14_iProver_def)
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_465,c_13066]) ).
cnf(c_34007,plain,
( multiply(sP7_iProver_def,multiply(sP4_iProver_def,sP4_iProver_def)) = multiply(sk_c6,sk_c7)
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_13066,c_5025]) ).
cnf(c_34016,plain,
( multiply(sP7_iProver_def,multiply(sP4_iProver_def,sP4_iProver_def)) = sP4_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(light_normalisation,[status(thm)],[c_34007,c_433]) ).
cnf(c_34060,plain,
( multiply(sP4_iProver_def,sP4_iProver_def) = multiply(sP5_iProver_def,sP15_iProver_def)
| sk_c7 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_471,c_13067]) ).
cnf(c_34066,plain,
( multiply(sP4_iProver_def,sP4_iProver_def) = multiply(sP5_iProver_def,sP14_iProver_def)
| sk_c7 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_464,c_13067]) ).
cnf(c_34439,plain,
multiply(sP7_iProver_def,sP13_iProver_def) = inverse(sP8_iProver_def),
inference(demodulation,[status(thm)],[c_27179,c_17766]) ).
cnf(c_34446,plain,
multiply(sk_c5,inverse(sP8_iProver_def)) = sP13_iProver_def,
inference(superposition,[status(thm)],[c_34439,c_20163]) ).
cnf(c_34469,plain,
( multiply(sP4_iProver_def,inverse(sP8_iProver_def)) = sP13_iProver_def
| sk_c6 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_482,c_34446]) ).
cnf(c_34473,plain,
( multiply(sP4_iProver_def,inverse(sP8_iProver_def)) = sP13_iProver_def
| sk_c7 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_478,c_34446]) ).
cnf(c_34484,plain,
multiply(sP8_iProver_def,inverse(sP8_iProver_def)) = multiply(sk_c2,sP13_iProver_def),
inference(superposition,[status(thm)],[c_34446,c_2976]) ).
cnf(c_34487,plain,
multiply(sP8_iProver_def,inverse(sP8_iProver_def)) = identity,
inference(light_normalisation,[status(thm)],[c_34484,c_26575]) ).
cnf(c_34706,plain,
( multiply(inverse(sP4_iProver_def),sP13_iProver_def) = inverse(sP8_iProver_def)
| sk_c6 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_34469,c_16543]) ).
cnf(c_35048,plain,
( multiply(inverse(sP4_iProver_def),sP13_iProver_def) = inverse(sP8_iProver_def)
| sk_c7 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_34473,c_16543]) ).
cnf(c_41189,plain,
( multiply(sP7_iProver_def,multiply(sP4_iProver_def,sP4_iProver_def)) = multiply(sk_c6,sP14_iProver_def)
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_33996,c_5025]) ).
cnf(c_43500,plain,
multiply(inverse(multiply(X0,sk_c1)),multiply(X0,sP14_iProver_def)) = sk_c6,
inference(superposition,[status(thm)],[c_443,c_16569]) ).
cnf(c_43619,plain,
multiply(inverse(multiply(X0,sP7_iProver_def)),multiply(X0,identity)) = sk_c5,
inference(superposition,[status(thm)],[c_1182,c_16569]) ).
cnf(c_43649,plain,
( multiply(inverse(multiply(X0,sP7_iProver_def)),multiply(X0,identity)) = sP4_iProver_def
| sk_c6 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_2144,c_16569]) ).
cnf(c_43652,plain,
( multiply(inverse(multiply(X0,sP7_iProver_def)),multiply(X0,identity)) = sP4_iProver_def
| sk_c7 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_1911,c_16569]) ).
cnf(c_43765,plain,
( multiply(inverse(multiply(X0,sP10_iProver_def)),multiply(X0,identity)) = sP7_iProver_def
| sk_c6 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_21410,c_16569]) ).
cnf(c_43770,plain,
( multiply(inverse(multiply(X0,sP4_iProver_def)),multiply(X0,sP5_iProver_def)) = sP8_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_6097,c_16569]) ).
cnf(c_43771,plain,
( multiply(inverse(multiply(X0,sP4_iProver_def)),multiply(X0,sP5_iProver_def)) = sP8_iProver_def
| sk_c6 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_5938,c_16569]) ).
cnf(c_43778,plain,
( multiply(inverse(multiply(X0,sP4_iProver_def)),multiply(X0,sP5_iProver_def)) = sP13_iProver_def
| sk_c6 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_6777,c_16569]) ).
cnf(c_43779,plain,
( multiply(inverse(multiply(X0,sP4_iProver_def)),multiply(X0,sP5_iProver_def)) = sP13_iProver_def
| sk_c6 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_6466,c_16569]) ).
cnf(c_43780,plain,
( multiply(inverse(multiply(X0,sP4_iProver_def)),multiply(X0,sP5_iProver_def)) = sP13_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_6394,c_16569]) ).
cnf(c_43803,plain,
( multiply(inverse(multiply(X0,sP4_iProver_def)),multiply(X0,identity)) = sP7_iProver_def
| sk_c7 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_21407,c_16569]) ).
cnf(c_43811,plain,
( multiply(inverse(multiply(X0,sP5_iProver_def)),multiply(X0,multiply(sP4_iProver_def,sP4_iProver_def))) = sk_c7
| sk_c7 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_13067,c_16569]) ).
cnf(c_43821,plain,
( multiply(inverse(multiply(X0,sP5_iProver_def)),multiply(X0,multiply(sP4_iProver_def,sP4_iProver_def))) = sP14_iProver_def
| sk_c7 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_34066,c_16569]) ).
cnf(c_43822,plain,
( multiply(inverse(multiply(X0,sP5_iProver_def)),multiply(X0,multiply(sP4_iProver_def,sP4_iProver_def))) = sP14_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_33996,c_16569]) ).
cnf(c_43824,plain,
( multiply(inverse(multiply(X0,sP5_iProver_def)),multiply(X0,multiply(sP4_iProver_def,sP4_iProver_def))) = sP14_iProver_def
| sk_c6 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_33670,c_16569]) ).
cnf(c_43827,plain,
( multiply(inverse(multiply(X0,sP5_iProver_def)),multiply(X0,multiply(sP4_iProver_def,sP4_iProver_def))) = sP15_iProver_def
| sk_c7 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_34060,c_16569]) ).
cnf(c_43828,plain,
( multiply(inverse(multiply(X0,sP5_iProver_def)),multiply(X0,multiply(sP4_iProver_def,sP4_iProver_def))) = sP15_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_33990,c_16569]) ).
cnf(c_43830,plain,
( multiply(inverse(multiply(X0,sP5_iProver_def)),multiply(X0,multiply(sP4_iProver_def,sP4_iProver_def))) = sP15_iProver_def
| sk_c6 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_33664,c_16569]) ).
cnf(c_43862,plain,
multiply(inverse(multiply(X0,sk_c1)),multiply(X0,identity)) = sP15_iProver_def,
inference(superposition,[status(thm)],[c_25044,c_16569]) ).
cnf(c_43886,plain,
multiply(inverse(multiply(X0,sP8_iProver_def)),multiply(X0,identity)) = inverse(sP8_iProver_def),
inference(superposition,[status(thm)],[c_34487,c_16569]) ).
cnf(c_43906,plain,
multiply(inverse(multiply(X0,sk_c1)),X0) = sP15_iProver_def,
inference(light_normalisation,[status(thm)],[c_43862,c_17766]) ).
cnf(c_43911,plain,
multiply(inverse(multiply(X0,sP7_iProver_def)),X0) = sk_c5,
inference(light_normalisation,[status(thm)],[c_43619,c_17766]) ).
cnf(c_43955,plain,
multiply(inverse(multiply(X0,sP8_iProver_def)),X0) = inverse(sP8_iProver_def),
inference(light_normalisation,[status(thm)],[c_43886,c_17766]) ).
cnf(c_44072,plain,
( multiply(inverse(multiply(X0,sP4_iProver_def)),X0) = sP7_iProver_def
| sk_c7 = sP5_iProver_def ),
inference(light_normalisation,[status(thm)],[c_43803,c_17766]) ).
cnf(c_44148,plain,
( multiply(inverse(multiply(X0,sP10_iProver_def)),X0) = sP7_iProver_def
| sk_c6 = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_43765,c_17766]) ).
cnf(c_44311,plain,
( multiply(inverse(multiply(X0,sP7_iProver_def)),X0) = sP4_iProver_def
| sk_c7 = sP5_iProver_def ),
inference(light_normalisation,[status(thm)],[c_43652,c_17766]) ).
cnf(c_44320,plain,
( multiply(inverse(multiply(X0,sP7_iProver_def)),X0) = sP4_iProver_def
| sk_c6 = sP7_iProver_def ),
inference(light_normalisation,[status(thm)],[c_43649,c_17766]) ).
cnf(c_49484,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_44320,c_44311,c_44148,c_44072,c_43955,c_43911,c_43906,c_43830,c_43828,c_43827,c_43824,c_43822,c_43821,c_43811,c_43780,c_43779,c_43778,c_43771,c_43770,c_43500,c_41189,c_35048,c_34706,c_34446,c_34439,c_34016,c_27179,c_26954,c_26953,c_26952,c_26951,c_26905,c_26573,c_26575,c_25559,c_25093,c_24000,c_22204,c_22191,c_22187,c_21688,c_21687,c_21497,c_20162,c_20158,c_18756,c_17949,c_17938,c_17945,c_17939,c_17792,c_17766,c_16813,c_16810,c_16560,c_13579,c_13398,c_13067,c_12878,c_8675,c_8605,c_8570,c_6200,c_4634,c_4633,c_4623,c_4618,c_2837,c_2670,c_2574,c_2474,c_2145,c_1991,c_1912,c_1185,c_944,c_456,c_455,c_454,c_453,c_452,c_451,c_450,c_445,c_444,c_442,c_441,c_440,c_439,c_438,c_436,c_434,c_433,c_86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GRP341-1 : TPTP v8.1.2. Released v2.5.0.
% 0.08/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n007.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 : Thu May 2 23:52:35 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 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
% 12.43/2.70 % SZS status Started for theBenchmark.p
% 12.43/2.70 % SZS status Unsatisfiable for theBenchmark.p
% 12.43/2.70
% 12.43/2.70 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 12.43/2.70
% 12.43/2.70 ------ iProver source info
% 12.43/2.70
% 12.43/2.70 git: date: 2024-05-02 19:28:25 +0000
% 12.43/2.70 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 12.43/2.70 git: non_committed_changes: false
% 12.43/2.70
% 12.43/2.70 ------ Parsing...successful
% 12.43/2.70
% 12.43/2.70
% 12.43/2.70
% 12.43/2.70 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 12.43/2.70
% 12.43/2.70 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 12.43/2.70
% 12.43/2.70 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 12.43/2.70 ------ Proving...
% 12.43/2.70 ------ Problem Properties
% 12.43/2.70
% 12.43/2.70
% 12.43/2.70 clauses 55
% 12.43/2.70 conjectures 40
% 12.43/2.70 EPR 36
% 12.43/2.70 Horn 19
% 12.43/2.70 unary 15
% 12.43/2.70 binary 35
% 12.43/2.70 lits 105
% 12.43/2.70 lits eq 97
% 12.43/2.70 fd_pure 0
% 12.43/2.70 fd_pseudo 0
% 12.43/2.70 fd_cond 0
% 12.43/2.70 fd_pseudo_cond 0
% 12.43/2.70 AC symbols 0
% 12.43/2.70
% 12.43/2.70 ------ Schedule dynamic 5 is on
% 12.43/2.70
% 12.43/2.70 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 12.43/2.70
% 12.43/2.70
% 12.43/2.70 ------
% 12.43/2.70 Current options:
% 12.43/2.70 ------
% 12.43/2.70
% 12.43/2.70
% 12.43/2.70
% 12.43/2.70
% 12.43/2.70 ------ Proving...
% 12.43/2.70
% 12.43/2.70
% 12.43/2.70 % SZS status Unsatisfiable for theBenchmark.p
% 12.43/2.70
% 12.43/2.70 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 12.43/2.70
% 12.43/2.70
%------------------------------------------------------------------------------