TSTP Solution File: GRP324-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP324-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n012.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 02:22:11 EDT 2024
% Result : Unsatisfiable 10.38s 2.19s
% Output : CNFRefutation 10.38s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c4,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c5,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c1,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| inverse(sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c5,sk_c7) = sk_c6
| multiply(sk_c1,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c8,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_c4,sk_c8) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( inverse(sk_c8) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c5,sk_c7) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( inverse(sk_c5) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c8,sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c4,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| inverse(sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c2,sk_c8) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c7
| multiply(sk_c2,sk_c8) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_75,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
cnf(c_76,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| inverse(sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
cnf(c_79,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_80,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
cnf(c_81,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
cnf(c_82,negated_conjecture,
( inverse(sk_c8) = sk_c6
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
cnf(c_83,negated_conjecture,
( multiply(sk_c5,sk_c7) = sk_c6
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
cnf(c_84,negated_conjecture,
( inverse(sk_c5) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
cnf(c_85,negated_conjecture,
( multiply(X0,sk_c7) != sk_c8
| multiply(X1,sk_c8) != X2
| multiply(X3,sk_c8) != sk_c7
| multiply(X4,sk_c7) != sk_c6
| multiply(sk_c8,X2) != sk_c7
| multiply(sk_c7,sk_c8) != sk_c6
| multiply(sk_c8,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| inverse(X1) != sk_c8
| inverse(X3) != sk_c8
| inverse(X4) != sk_c7
| inverse(sk_c8) != sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
cnf(c_86,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_87,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_88,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_89,negated_conjecture,
( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
| multiply(X1,sk_c7) != sk_c8
| multiply(X2,sk_c8) != sk_c7
| multiply(X3,sk_c7) != sk_c6
| multiply(sk_c7,sk_c8) != sk_c6
| multiply(sk_c8,sk_c7) != sk_c6
| inverse(X0) != sk_c8
| inverse(X1) != sk_c7
| inverse(X2) != sk_c8
| inverse(X3) != sk_c7
| inverse(sk_c8) != sk_c6 ),
inference(unflattening,[status(thm)],[c_85]) ).
cnf(c_434,negated_conjecture,
( multiply(X0,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_89]) ).
cnf(c_435,negated_conjecture,
( multiply(X0,sk_c7) != sk_c8
| inverse(X0) != sk_c7
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_89]) ).
cnf(c_436,negated_conjecture,
( multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_89]) ).
cnf(c_437,negated_conjecture,
( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
| inverse(X0) != sk_c8
| ~ sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_89]) ).
cnf(c_438,negated_conjecture,
( multiply(sk_c7,sk_c8) != sk_c6
| multiply(sk_c8,sk_c7) != sk_c6
| inverse(sk_c8) != sk_c6
| 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,
multiply(sk_c7,sk_c8) = sP4_iProver_def,
definition ).
cnf(c_440,plain,
multiply(sk_c8,sk_c7) = sP5_iProver_def,
definition ).
cnf(c_441,plain,
inverse(sk_c8) = sP6_iProver_def,
definition ).
cnf(c_442,plain,
inverse(sk_c5) = sP7_iProver_def,
definition ).
cnf(c_443,plain,
inverse(sk_c2) = sP8_iProver_def,
definition ).
cnf(c_444,plain,
multiply(sk_c5,sk_c7) = sP9_iProver_def,
definition ).
cnf(c_445,plain,
inverse(sk_c4) = sP10_iProver_def,
definition ).
cnf(c_446,plain,
multiply(sk_c4,sk_c8) = sP11_iProver_def,
definition ).
cnf(c_447,plain,
multiply(sk_c2,sk_c8) = sP12_iProver_def,
definition ).
cnf(c_448,plain,
multiply(sk_c8,sk_c3) = sP13_iProver_def,
definition ).
cnf(c_449,plain,
inverse(sk_c1) = sP14_iProver_def,
definition ).
cnf(c_450,plain,
multiply(sk_c1,sk_c7) = sP15_iProver_def,
definition ).
cnf(c_451,negated_conjecture,
( sP4_iProver_def != sk_c6
| sP5_iProver_def != sk_c6
| sP6_iProver_def != sk_c6
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_438,c_441,c_440,c_439]) ).
cnf(c_452,negated_conjecture,
( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
| inverse(X0) != sk_c8
| ~ sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_437]) ).
cnf(c_453,negated_conjecture,
( multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_436]) ).
cnf(c_454,negated_conjecture,
( multiply(X0,sk_c7) != sk_c8
| inverse(X0) != sk_c7
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_435]) ).
cnf(c_455,negated_conjecture,
( multiply(X0,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_434]) ).
cnf(c_456,negated_conjecture,
( sP7_iProver_def = sk_c7
| sP8_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_84,c_443,c_442]) ).
cnf(c_457,negated_conjecture,
( sP8_iProver_def = sk_c8
| sP9_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_83,c_444]) ).
cnf(c_458,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP8_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_82]) ).
cnf(c_459,negated_conjecture,
( sP8_iProver_def = sk_c8
| sP10_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_81,c_445]) ).
cnf(c_460,negated_conjecture,
( sP8_iProver_def = sk_c8
| sP11_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_80,c_446]) ).
cnf(c_461,negated_conjecture,
( sP5_iProver_def = sk_c6
| sP8_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_79]) ).
cnf(c_464,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP12_iProver_def = sk_c3 ),
inference(demodulation,[status(thm)],[c_76]) ).
cnf(c_465,negated_conjecture,
( sP10_iProver_def = sk_c8
| sP12_iProver_def = sk_c3 ),
inference(demodulation,[status(thm)],[c_75]) ).
cnf(c_466,negated_conjecture,
( sP11_iProver_def = sk_c7
| sP12_iProver_def = sk_c3 ),
inference(demodulation,[status(thm)],[c_74]) ).
cnf(c_467,negated_conjecture,
( sP5_iProver_def = sk_c6
| sP12_iProver_def = sk_c3 ),
inference(demodulation,[status(thm)],[c_73]) ).
cnf(c_470,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP13_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_70]) ).
cnf(c_471,negated_conjecture,
( sP10_iProver_def = sk_c8
| sP13_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_69]) ).
cnf(c_472,negated_conjecture,
( sP11_iProver_def = sk_c7
| sP13_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_68]) ).
cnf(c_473,negated_conjecture,
( sP5_iProver_def = sk_c6
| sP13_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_67]) ).
cnf(c_474,negated_conjecture,
( sP7_iProver_def = sk_c7
| sP14_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_66,c_449]) ).
cnf(c_475,negated_conjecture,
( sP9_iProver_def = sk_c6
| sP14_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_65]) ).
cnf(c_476,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP14_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_64]) ).
cnf(c_477,negated_conjecture,
( sP10_iProver_def = sk_c8
| sP14_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_63]) ).
cnf(c_478,negated_conjecture,
( sP11_iProver_def = sk_c7
| sP14_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_62]) ).
cnf(c_479,negated_conjecture,
( sP5_iProver_def = sk_c6
| sP14_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_61]) ).
cnf(c_480,negated_conjecture,
( sP7_iProver_def = sk_c7
| sP15_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_60,c_450]) ).
cnf(c_481,negated_conjecture,
( sP9_iProver_def = sk_c6
| sP15_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_59]) ).
cnf(c_482,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP15_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_58]) ).
cnf(c_483,negated_conjecture,
( sP10_iProver_def = sk_c8
| sP15_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_57]) ).
cnf(c_484,negated_conjecture,
( sP11_iProver_def = sk_c7
| sP15_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_485,negated_conjecture,
( sP5_iProver_def = sk_c6
| sP15_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_486,negated_conjecture,
( sP4_iProver_def = sk_c6
| sP7_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_487,negated_conjecture,
( sP4_iProver_def = sk_c6
| sP9_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_53]) ).
cnf(c_488,negated_conjecture,
( sP4_iProver_def = sk_c6
| sP6_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_489,negated_conjecture,
( sP4_iProver_def = sk_c6
| sP10_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_490,negated_conjecture,
( sP4_iProver_def = sk_c6
| sP11_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_491,negated_conjecture,
( sP4_iProver_def = sk_c6
| sP5_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_766,plain,
( sk_c8 = sP8_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_461,c_457]) ).
cnf(c_872,plain,
( multiply(sk_c8,sP13_iProver_def) = sP5_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_471,c_440]) ).
cnf(c_896,plain,
( multiply(sk_c8,sP12_iProver_def) = sP13_iProver_def
| sk_c7 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_466,c_448]) ).
cnf(c_897,plain,
( multiply(sk_c8,sP12_iProver_def) = sP13_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_465,c_448]) ).
cnf(c_927,plain,
multiply(sP10_iProver_def,sk_c4) = identity,
inference(superposition,[status(thm)],[c_445,c_87]) ).
cnf(c_928,plain,
multiply(sP6_iProver_def,sk_c8) = identity,
inference(superposition,[status(thm)],[c_441,c_87]) ).
cnf(c_929,plain,
multiply(sP7_iProver_def,sk_c5) = identity,
inference(superposition,[status(thm)],[c_442,c_87]) ).
cnf(c_930,plain,
multiply(sP14_iProver_def,sk_c1) = identity,
inference(superposition,[status(thm)],[c_449,c_87]) ).
cnf(c_931,plain,
multiply(sP8_iProver_def,sk_c2) = identity,
inference(superposition,[status(thm)],[c_443,c_87]) ).
cnf(c_991,plain,
( multiply(sk_c1,sP14_iProver_def) = sP15_iProver_def
| sk_c7 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_474,c_450]) ).
cnf(c_1085,plain,
( multiply(sk_c1,sP14_iProver_def) = sP15_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_477,c_450]) ).
cnf(c_1089,plain,
( multiply(sk_c8,sP14_iProver_def) = sP5_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_477,c_440]) ).
cnf(c_1090,plain,
( multiply(sP14_iProver_def,sk_c8) = sP4_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_477,c_439]) ).
cnf(c_1138,plain,
( multiply(sk_c1,sP14_iProver_def) = sP15_iProver_def
| sk_c7 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_478,c_450]) ).
cnf(c_1184,plain,
( sk_c7 = sP14_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_479,c_475]) ).
cnf(c_1211,plain,
( multiply(sk_c5,sP7_iProver_def) = sP9_iProver_def
| sk_c8 = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_480,c_444]) ).
cnf(c_1213,plain,
( multiply(sP7_iProver_def,sk_c8) = sP4_iProver_def
| sk_c8 = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_480,c_439]) ).
cnf(c_1351,plain,
( multiply(sP15_iProver_def,sk_c3) = sP13_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_483,c_448]) ).
cnf(c_1352,plain,
( multiply(sk_c2,sP15_iProver_def) = sP12_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_483,c_447]) ).
cnf(c_1354,plain,
( multiply(sP15_iProver_def,sk_c7) = sP5_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_483,c_440]) ).
cnf(c_1356,plain,
( multiply(sk_c7,sP15_iProver_def) = sP4_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_483,c_439]) ).
cnf(c_1412,plain,
( sk_c8 = sP15_iProver_def
| sP7_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_484,c_480]) ).
cnf(c_1417,plain,
( multiply(sk_c1,sP11_iProver_def) = sP15_iProver_def
| sk_c8 = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_484,c_450]) ).
cnf(c_1472,plain,
( sk_c8 = sP15_iProver_def
| sP5_iProver_def = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_485,c_482]) ).
cnf(c_1473,plain,
( sk_c8 = sP15_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_485,c_481]) ).
cnf(c_1978,plain,
( inverse(sk_c5) != sk_c7
| sk_c6 != sP9_iProver_def
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_444,c_453]) ).
cnf(c_1981,plain,
( inverse(inverse(sk_c7)) != sk_c7
| sk_c6 != identity
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_87,c_453]) ).
cnf(c_1999,plain,
( sk_c7 != sP7_iProver_def
| sk_c6 != sP9_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1978,c_442]) ).
cnf(c_2118,plain,
( inverse(sk_c5) != sk_c7
| sk_c8 != sP9_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_444,c_454]) ).
cnf(c_2119,plain,
( inverse(sk_c1) != sk_c7
| sk_c8 != sP15_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_450,c_454]) ).
cnf(c_2121,plain,
( inverse(inverse(sk_c7)) != sk_c7
| sk_c8 != identity
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_87,c_454]) ).
cnf(c_2135,plain,
( sk_c7 != sP14_iProver_def
| sk_c8 != sP15_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2119,c_449]) ).
cnf(c_2139,plain,
( sk_c7 != sP7_iProver_def
| sk_c8 != sP9_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2118,c_442]) ).
cnf(c_2241,plain,
( inverse(sk_c4) != sk_c8
| sk_c7 != sP11_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_446,c_455]) ).
cnf(c_2243,plain,
( inverse(identity) != sk_c8
| sk_c7 != sk_c8
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_86,c_455]) ).
cnf(c_2245,plain,
( inverse(sP6_iProver_def) != sk_c8
| sk_c7 != identity
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_928,c_455]) ).
cnf(c_2258,plain,
( sk_c7 != sP11_iProver_def
| sk_c8 != sP10_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2241,c_445]) ).
cnf(c_2448,plain,
multiply(sk_c7,multiply(sk_c8,X0)) = multiply(sP4_iProver_def,X0),
inference(superposition,[status(thm)],[c_439,c_88]) ).
cnf(c_2449,plain,
multiply(sk_c8,multiply(sk_c7,X0)) = multiply(sP5_iProver_def,X0),
inference(superposition,[status(thm)],[c_440,c_88]) ).
cnf(c_2450,plain,
multiply(sk_c4,multiply(sk_c8,X0)) = multiply(sP11_iProver_def,X0),
inference(superposition,[status(thm)],[c_446,c_88]) ).
cnf(c_2451,plain,
multiply(sk_c5,multiply(sk_c7,X0)) = multiply(sP9_iProver_def,X0),
inference(superposition,[status(thm)],[c_444,c_88]) ).
cnf(c_2452,plain,
multiply(sk_c1,multiply(sk_c7,X0)) = multiply(sP15_iProver_def,X0),
inference(superposition,[status(thm)],[c_450,c_88]) ).
cnf(c_2454,plain,
multiply(sk_c2,multiply(sk_c8,X0)) = multiply(sP12_iProver_def,X0),
inference(superposition,[status(thm)],[c_447,c_88]) ).
cnf(c_2456,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_87,c_88]) ).
cnf(c_2458,plain,
multiply(sP10_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_927,c_88]) ).
cnf(c_2459,plain,
multiply(sP6_iProver_def,multiply(sk_c8,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_928,c_88]) ).
cnf(c_2460,plain,
multiply(sP7_iProver_def,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_929,c_88]) ).
cnf(c_2461,plain,
multiply(sP14_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_930,c_88]) ).
cnf(c_2462,plain,
multiply(sP8_iProver_def,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_931,c_88]) ).
cnf(c_2468,plain,
multiply(sP8_iProver_def,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2462,c_86]) ).
cnf(c_2469,plain,
multiply(sP14_iProver_def,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2461,c_86]) ).
cnf(c_2470,plain,
multiply(sP7_iProver_def,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2460,c_86]) ).
cnf(c_2471,plain,
multiply(sP6_iProver_def,multiply(sk_c8,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2459,c_86]) ).
cnf(c_2472,plain,
multiply(sP10_iProver_def,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2458,c_86]) ).
cnf(c_2716,plain,
( multiply(sk_c2,sP8_iProver_def) = sP12_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_766,c_447]) ).
cnf(c_3095,plain,
( sk_c6 != sP5_iProver_def
| sk_c6 != sP6_iProver_def
| sk_c8 = sP10_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_489,c_451]) ).
cnf(c_3742,plain,
( multiply(sk_c1,sP14_iProver_def) = sP15_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_1184,c_450]) ).
cnf(c_3747,plain,
( multiply(sP14_iProver_def,sk_c8) = sP4_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_1184,c_439]) ).
cnf(c_3926,plain,
( multiply(sk_c7,sP15_iProver_def) = sP4_iProver_def
| sP7_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_1412,c_439]) ).
cnf(c_4073,plain,
( multiply(sk_c7,sP15_iProver_def) = sP4_iProver_def
| sP5_iProver_def = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_1472,c_439]) ).
cnf(c_4204,plain,
( inverse(sP15_iProver_def) = sP6_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_1473,c_441]) ).
cnf(c_4205,plain,
( multiply(sk_c7,sP15_iProver_def) = sP4_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_1473,c_439]) ).
cnf(c_4700,plain,
multiply(sP8_iProver_def,sP12_iProver_def) = sk_c8,
inference(superposition,[status(thm)],[c_447,c_2468]) ).
cnf(c_4705,plain,
multiply(sP14_iProver_def,sP15_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_450,c_2469]) ).
cnf(c_4980,plain,
multiply(sP14_iProver_def,multiply(sP15_iProver_def,X0)) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_4705,c_88]) ).
cnf(c_4982,plain,
multiply(sP7_iProver_def,sP9_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_444,c_2470]) ).
cnf(c_4998,plain,
multiply(sP6_iProver_def,sP5_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_440,c_2471]) ).
cnf(c_4999,plain,
multiply(sP6_iProver_def,sP13_iProver_def) = sk_c3,
inference(superposition,[status(thm)],[c_448,c_2471]) ).
cnf(c_5094,plain,
multiply(sP10_iProver_def,sP11_iProver_def) = sk_c8,
inference(superposition,[status(thm)],[c_446,c_2472]) ).
cnf(c_5301,plain,
( multiply(sP15_iProver_def,sP13_iProver_def) = sP5_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_483,c_872]) ).
cnf(c_5770,plain,
( multiply(sP15_iProver_def,sP12_iProver_def) = sP13_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_483,c_897]) ).
cnf(c_6449,plain,
( multiply(sP14_iProver_def,sP15_iProver_def) = sP14_iProver_def
| sk_c7 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_991,c_2469]) ).
cnf(c_6450,plain,
( sk_c7 = sP7_iProver_def
| sk_c7 = sP14_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6449,c_4705]) ).
cnf(c_6812,plain,
( multiply(sP14_iProver_def,sP15_iProver_def) = sP14_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_1085,c_2469]) ).
cnf(c_6813,plain,
( sk_c7 = sP14_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6812,c_4705]) ).
cnf(c_6853,plain,
( multiply(sP15_iProver_def,sP14_iProver_def) = sP5_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_483,c_1089]) ).
cnf(c_6911,plain,
( multiply(sP14_iProver_def,sP15_iProver_def) = sP4_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_483,c_1090]) ).
cnf(c_6916,plain,
( sk_c7 = sP4_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6911,c_4705]) ).
cnf(c_6985,plain,
( multiply(sP14_iProver_def,sP15_iProver_def) = sP14_iProver_def
| sk_c7 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_1138,c_2469]) ).
cnf(c_6986,plain,
( sk_c7 = sP11_iProver_def
| sk_c7 = sP14_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6985,c_4705]) ).
cnf(c_7138,plain,
( multiply(sk_c1,sP4_iProver_def) = sP15_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_6916,c_450]) ).
cnf(c_7142,plain,
( multiply(sk_c8,sP4_iProver_def) = sP5_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_6916,c_440]) ).
cnf(c_8017,plain,
( multiply(sP8_iProver_def,sP12_iProver_def) = sP15_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_1352,c_2468]) ).
cnf(c_8018,plain,
( sk_c8 = sP10_iProver_def
| sk_c8 = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_8017,c_4700]) ).
cnf(c_8377,plain,
( multiply(sP14_iProver_def,sP15_iProver_def) = sP11_iProver_def
| sk_c8 = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_1417,c_2469]) ).
cnf(c_8378,plain,
( sk_c7 = sP11_iProver_def
| sk_c8 = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_8377,c_4705]) ).
cnf(c_9381,plain,
multiply(sk_c7,sP13_iProver_def) = multiply(sP4_iProver_def,sk_c3),
inference(superposition,[status(thm)],[c_448,c_2448]) ).
cnf(c_9930,plain,
( multiply(sP4_iProver_def,sk_c3) = multiply(sP4_iProver_def,sP13_iProver_def)
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_6916,c_9381]) ).
cnf(c_9944,plain,
( multiply(sP4_iProver_def,sk_c3) = multiply(sP14_iProver_def,sP13_iProver_def)
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_477,c_9381]) ).
cnf(c_10017,plain,
multiply(sk_c8,sP4_iProver_def) = multiply(sP5_iProver_def,sk_c8),
inference(superposition,[status(thm)],[c_439,c_2449]) ).
cnf(c_10196,plain,
multiply(sP6_iProver_def,multiply(sP5_iProver_def,sk_c8)) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_10017,c_2471]) ).
cnf(c_10511,plain,
multiply(sk_c5,sP4_iProver_def) = multiply(sP9_iProver_def,sk_c8),
inference(superposition,[status(thm)],[c_439,c_2451]) ).
cnf(c_10513,plain,
( multiply(sk_c5,sP4_iProver_def) = multiply(sP9_iProver_def,sP15_iProver_def)
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_1356,c_2451]) ).
cnf(c_10618,plain,
multiply(sk_c1,sP4_iProver_def) = multiply(sP15_iProver_def,sk_c8),
inference(superposition,[status(thm)],[c_439,c_2452]) ).
cnf(c_10624,plain,
multiply(sk_c1,multiply(sP4_iProver_def,sk_c3)) = multiply(sP15_iProver_def,sP13_iProver_def),
inference(superposition,[status(thm)],[c_9381,c_2452]) ).
cnf(c_13934,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2456,c_86]) ).
cnf(c_13954,plain,
multiply(inverse(sk_c7),sP4_iProver_def) = sk_c8,
inference(superposition,[status(thm)],[c_439,c_13934]) ).
cnf(c_13961,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_86,c_13934]) ).
cnf(c_13962,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_87,c_13934]) ).
cnf(c_14049,plain,
( multiply(inverse(sP15_iProver_def),sP13_iProver_def) = sk_c3
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_1351,c_13934]) ).
cnf(c_14052,plain,
( multiply(inverse(sP15_iProver_def),sP5_iProver_def) = sk_c7
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_1354,c_13934]) ).
cnf(c_14087,plain,
multiply(inverse(sP10_iProver_def),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_2472,c_13934]) ).
cnf(c_14088,plain,
multiply(inverse(sP6_iProver_def),X0) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_2471,c_13934]) ).
cnf(c_14089,plain,
multiply(inverse(sP7_iProver_def),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_2470,c_13934]) ).
cnf(c_14090,plain,
multiply(inverse(sP14_iProver_def),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_2469,c_13934]) ).
cnf(c_14091,plain,
multiply(inverse(sP8_iProver_def),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_2468,c_13934]) ).
cnf(c_14101,plain,
( multiply(inverse(sP15_iProver_def),sP5_iProver_def) = sP13_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_5301,c_13934]) ).
cnf(c_14103,plain,
( multiply(inverse(sP15_iProver_def),sP13_iProver_def) = sP12_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_5770,c_13934]) ).
cnf(c_14104,plain,
( multiply(inverse(sP15_iProver_def),sP5_iProver_def) = sP14_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_6853,c_13934]) ).
cnf(c_14108,plain,
multiply(inverse(sk_c7),multiply(sP4_iProver_def,sk_c3)) = sP13_iProver_def,
inference(superposition,[status(thm)],[c_9381,c_13934]) ).
cnf(c_14113,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_13934,c_13934]) ).
cnf(c_14983,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_13962,c_14113]) ).
cnf(c_15004,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_14983,c_13961]) ).
cnf(c_15687,plain,
( multiply(sP14_iProver_def,sP15_iProver_def) = sP4_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_1473,c_3747]) ).
cnf(c_15702,plain,
( sk_c7 = sP4_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(light_normalisation,[status(thm)],[c_15687,c_4705]) ).
cnf(c_16296,plain,
( sP4_iProver_def = sP14_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_15702,c_1184]) ).
cnf(c_17022,plain,
( multiply(sk_c8,sP4_iProver_def) = multiply(sP5_iProver_def,sP15_iProver_def)
| sP7_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_3926,c_2449]) ).
cnf(c_17024,plain,
( multiply(sP5_iProver_def,sk_c8) = multiply(sP5_iProver_def,sP15_iProver_def)
| sP7_iProver_def = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_17022,c_10017]) ).
cnf(c_17176,plain,
multiply(sk_c4,sP10_iProver_def) = identity,
inference(superposition,[status(thm)],[c_14087,c_87]) ).
cnf(c_17180,plain,
( multiply(sk_c4,sk_c8) != sk_c7
| inverse(inverse(sP10_iProver_def)) != sk_c8
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_14087,c_455]) ).
cnf(c_17182,plain,
multiply(sk_c4,identity) = inverse(sP10_iProver_def),
inference(superposition,[status(thm)],[c_14087,c_14983]) ).
cnf(c_17191,plain,
( inverse(inverse(sP10_iProver_def)) != sk_c8
| sk_c7 != sP11_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_17180,c_446]) ).
cnf(c_17328,plain,
inverse(sP10_iProver_def) = sk_c4,
inference(demodulation,[status(thm)],[c_17182,c_14983]) ).
cnf(c_18481,plain,
multiply(sk_c8,sP6_iProver_def) = identity,
inference(superposition,[status(thm)],[c_14088,c_87]) ).
cnf(c_18484,plain,
( multiply(sk_c8,multiply(sk_c8,sk_c8)) != sk_c7
| inverse(inverse(sP6_iProver_def)) != sk_c8
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_14088,c_452]) ).
cnf(c_18486,plain,
multiply(sk_c8,multiply(sP6_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_14088,c_13934]) ).
cnf(c_18487,plain,
multiply(sk_c8,identity) = inverse(sP6_iProver_def),
inference(superposition,[status(thm)],[c_14088,c_14983]) ).
cnf(c_18605,plain,
multiply(sk_c2,identity) = multiply(sP12_iProver_def,sP6_iProver_def),
inference(superposition,[status(thm)],[c_18481,c_2454]) ).
cnf(c_18606,plain,
multiply(sk_c4,identity) = multiply(sP11_iProver_def,sP6_iProver_def),
inference(superposition,[status(thm)],[c_18481,c_2450]) ).
cnf(c_18607,plain,
multiply(sk_c7,identity) = multiply(sP4_iProver_def,sP6_iProver_def),
inference(superposition,[status(thm)],[c_18481,c_2448]) ).
cnf(c_18610,plain,
multiply(sP11_iProver_def,sP6_iProver_def) = sk_c4,
inference(light_normalisation,[status(thm)],[c_18606,c_17182,c_17328]) ).
cnf(c_18892,plain,
inverse(sP6_iProver_def) = sk_c8,
inference(demodulation,[status(thm)],[c_18487,c_14983]) ).
cnf(c_18949,plain,
( inverse(sP6_iProver_def) != sk_c8
| sk_c7 != sk_c8
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_18486,c_452]) ).
cnf(c_18987,plain,
( sk_c7 != sk_c8
| ~ sP3_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_18949,c_18892]) ).
cnf(c_19116,plain,
( sk_c8 != sP4_iProver_def
| ~ sP3_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_15702,c_18987]) ).
cnf(c_19145,plain,
( sk_c8 != sP13_iProver_def
| ~ sP3_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_471,c_18987]) ).
cnf(c_20280,plain,
( multiply(sk_c8,sP4_iProver_def) = multiply(sP5_iProver_def,sP15_iProver_def)
| sP5_iProver_def = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_4073,c_2449]) ).
cnf(c_20285,plain,
( multiply(sP5_iProver_def,sk_c8) = multiply(sP5_iProver_def,sP15_iProver_def)
| sP5_iProver_def = sP6_iProver_def ),
inference(light_normalisation,[status(thm)],[c_20280,c_10017]) ).
cnf(c_20427,plain,
multiply(sP12_iProver_def,sP6_iProver_def) = sk_c2,
inference(demodulation,[status(thm)],[c_18605,c_14983]) ).
cnf(c_20428,plain,
multiply(inverse(sP12_iProver_def),sk_c2) = sP6_iProver_def,
inference(superposition,[status(thm)],[c_20427,c_13934]) ).
cnf(c_20460,plain,
multiply(sP4_iProver_def,sP6_iProver_def) = sk_c7,
inference(demodulation,[status(thm)],[c_18607,c_14983]) ).
cnf(c_20461,plain,
multiply(inverse(sP4_iProver_def),sk_c7) = sP6_iProver_def,
inference(superposition,[status(thm)],[c_20460,c_13934]) ).
cnf(c_20496,plain,
( inverse(inverse(sP4_iProver_def)) != sk_c7
| sk_c8 != sP6_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_20461,c_454]) ).
cnf(c_20497,plain,
( inverse(inverse(sP4_iProver_def)) != sk_c7
| sk_c6 != sP6_iProver_def
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_20461,c_453]) ).
cnf(c_20838,plain,
( multiply(sk_c8,sP4_iProver_def) = multiply(sP5_iProver_def,sP15_iProver_def)
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_4205,c_2449]) ).
cnf(c_20843,plain,
( multiply(sP5_iProver_def,sk_c8) = multiply(sP5_iProver_def,sP15_iProver_def)
| sP5_iProver_def = sP9_iProver_def ),
inference(light_normalisation,[status(thm)],[c_20838,c_10017]) ).
cnf(c_20888,plain,
( multiply(sk_c7,sP12_iProver_def) = multiply(sP14_iProver_def,sP13_iProver_def)
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_5770,c_4980]) ).
cnf(c_21156,plain,
( multiply(sk_c5,sk_c7) != sk_c6
| inverse(inverse(sP7_iProver_def)) != sk_c7
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_14089,c_453]) ).
cnf(c_21157,plain,
multiply(sk_c5,sP7_iProver_def) = identity,
inference(superposition,[status(thm)],[c_14089,c_87]) ).
cnf(c_21160,plain,
( multiply(sk_c8,multiply(sk_c5,sk_c8)) != sk_c7
| inverse(inverse(sP7_iProver_def)) != sk_c8
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_14089,c_452]) ).
cnf(c_21162,plain,
multiply(sk_c5,multiply(sP7_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_14089,c_13934]) ).
cnf(c_21163,plain,
multiply(sk_c5,identity) = inverse(sP7_iProver_def),
inference(superposition,[status(thm)],[c_14089,c_14983]) ).
cnf(c_21167,plain,
( inverse(inverse(sP7_iProver_def)) != sk_c7
| sk_c6 != sP9_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_21156,c_444]) ).
cnf(c_21179,plain,
( sk_c8 = sP15_iProver_def
| identity = sP9_iProver_def ),
inference(demodulation,[status(thm)],[c_1211,c_21157]) ).
cnf(c_21438,plain,
( multiply(sP6_iProver_def,sP15_iProver_def) = identity
| identity = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_21179,c_928]) ).
cnf(c_22119,plain,
inverse(sP7_iProver_def) = sk_c5,
inference(demodulation,[status(thm)],[c_21163,c_14983]) ).
cnf(c_22124,plain,
( multiply(sk_c5,sP4_iProver_def) = sk_c8
| sk_c8 = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_1213,c_21162]) ).
cnf(c_22140,plain,
( multiply(sP9_iProver_def,sk_c8) = sk_c8
| sk_c8 = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_22124,c_10511]) ).
cnf(c_23144,plain,
( multiply(sk_c1,sk_c7) != sk_c6
| inverse(inverse(sP14_iProver_def)) != sk_c7
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_14090,c_453]) ).
cnf(c_23145,plain,
multiply(sk_c1,sP14_iProver_def) = identity,
inference(superposition,[status(thm)],[c_14090,c_87]) ).
cnf(c_23151,plain,
multiply(sk_c1,identity) = inverse(sP14_iProver_def),
inference(superposition,[status(thm)],[c_14090,c_14983]) ).
cnf(c_23175,plain,
( inverse(inverse(sP14_iProver_def)) != sk_c7
| sk_c6 != sP15_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_23144,c_450]) ).
cnf(c_23186,plain,
( identity = sP15_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(demodulation,[status(thm)],[c_3742,c_23145]) ).
cnf(c_23189,plain,
( sk_c7 = sP11_iProver_def
| identity = sP15_iProver_def ),
inference(demodulation,[status(thm)],[c_1138,c_23145]) ).
cnf(c_23298,plain,
inverse(sP14_iProver_def) = sk_c1,
inference(demodulation,[status(thm)],[c_23151,c_14983]) ).
cnf(c_23302,plain,
( inverse(sP4_iProver_def) = sk_c1
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_16296,c_23298]) ).
cnf(c_25174,plain,
( multiply(sP15_iProver_def,sk_c8) = sP15_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_7138,c_10618]) ).
cnf(c_25380,plain,
multiply(sk_c2,sP8_iProver_def) = identity,
inference(superposition,[status(thm)],[c_14091,c_87]) ).
cnf(c_25386,plain,
multiply(sk_c2,identity) = inverse(sP8_iProver_def),
inference(superposition,[status(thm)],[c_14091,c_14983]) ).
cnf(c_25415,plain,
( identity = sP12_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(demodulation,[status(thm)],[c_2716,c_25380]) ).
cnf(c_25444,plain,
inverse(sP8_iProver_def) = sk_c2,
inference(demodulation,[status(thm)],[c_25386,c_14983]) ).
cnf(c_25957,plain,
( sP5_iProver_def = sP9_iProver_def
| sP12_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_25415,c_23186]) ).
cnf(c_27673,plain,
( multiply(sP5_iProver_def,sk_c8) = sP5_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_7142,c_10017]) ).
cnf(c_27699,plain,
( multiply(sP5_iProver_def,sP15_iProver_def) = sP5_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_483,c_27673]) ).
cnf(c_32898,plain,
( multiply(inverse(sP5_iProver_def),sP5_iProver_def) = sP15_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_27699,c_13934]) ).
cnf(c_40787,plain,
( sk_c7 != sk_c8
| sk_c8 != identity
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2243,c_15004]) ).
cnf(c_41086,plain,
( sk_c7 != identity
| sk_c8 != sk_c8
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_2245,c_18892]) ).
cnf(c_41087,plain,
( sk_c7 != identity
| ~ sP0_iProver_def ),
inference(equality_resolution_simp,[status(thm)],[c_41086]) ).
cnf(c_41111,plain,
( identity != sP4_iProver_def
| ~ sP0_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_6916,c_41087]) ).
cnf(c_41122,plain,
( identity != sP11_iProver_def
| ~ sP0_iProver_def
| sk_c8 = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_484,c_41087]) ).
cnf(c_41127,plain,
( identity != sP13_iProver_def
| ~ sP0_iProver_def
| sk_c7 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_472,c_41087]) ).
cnf(c_41128,plain,
( identity != sP13_iProver_def
| ~ sP0_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_471,c_41087]) ).
cnf(c_41221,plain,
( ~ sP0_iProver_def
| sk_c8 = sP15_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_41122,c_2258,c_8018,c_8378]) ).
cnf(c_42275,plain,
( ~ sP0_iProver_def
| identity != sP13_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_41127,c_2258,c_41128,c_41127]) ).
cnf(c_42276,plain,
( identity != sP13_iProver_def
| ~ sP0_iProver_def ),
inference(renaming,[status(thm)],[c_42275]) ).
cnf(c_42971,plain,
( inverse(inverse(sP7_iProver_def)) != sP7_iProver_def
| sk_c8 != identity
| ~ sP1_iProver_def
| sk_c8 = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_480,c_2121]) ).
cnf(c_43012,plain,
( sk_c8 != identity
| sP7_iProver_def != sP7_iProver_def
| ~ sP1_iProver_def
| sk_c8 = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_42971,c_442,c_22119]) ).
cnf(c_43013,plain,
( sk_c8 != identity
| ~ sP1_iProver_def
| sk_c8 = sP15_iProver_def ),
inference(equality_resolution_simp,[status(thm)],[c_43012]) ).
cnf(c_46492,plain,
( multiply(sk_c1,sk_c7) = sP6_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_23302,c_20461]) ).
cnf(c_46493,plain,
( sP5_iProver_def = sP9_iProver_def
| sP6_iProver_def = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_46492,c_450]) ).
cnf(c_46542,plain,
( sP5_iProver_def = sP9_iProver_def
| sP6_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_46493,c_25957]) ).
cnf(c_46586,plain,
( inverse(sP6_iProver_def) = sP6_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_46493,c_4204]) ).
cnf(c_46600,plain,
( sk_c8 = sP6_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(light_normalisation,[status(thm)],[c_46586,c_18892]) ).
cnf(c_46825,plain,
( multiply(inverse(sP6_iProver_def),sk_c2) = sP6_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_46542,c_20428]) ).
cnf(c_46834,plain,
( multiply(sP8_iProver_def,sP6_iProver_def) = sk_c8
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_46542,c_4700]) ).
cnf(c_46839,plain,
( multiply(sk_c8,sk_c2) = sP6_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(light_normalisation,[status(thm)],[c_46825,c_18892]) ).
cnf(c_46980,plain,
( inverse(sk_c1) != sk_c7
| sk_c8 != sP6_iProver_def
| ~ sP1_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_23302,c_20496]) ).
cnf(c_46981,plain,
( sk_c7 != sP14_iProver_def
| sk_c8 != sP6_iProver_def
| ~ sP1_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(light_normalisation,[status(thm)],[c_46980,c_449]) ).
cnf(c_46992,plain,
( inverse(sk_c1) != sk_c7
| sk_c6 != sP6_iProver_def
| ~ sP2_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_23302,c_20497]) ).
cnf(c_46993,plain,
( sk_c7 != sP14_iProver_def
| sk_c6 != sP6_iProver_def
| ~ sP2_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(light_normalisation,[status(thm)],[c_46992,c_449]) ).
cnf(c_48260,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_46993,c_46981,c_46839,c_46834,c_46600,c_43013,c_42276,c_41221,c_41111,c_40787,c_32898,c_27699,c_27673,c_25444,c_25386,c_25380,c_25174,c_23298,c_23189,c_23175,c_23151,c_23145,c_22140,c_22119,c_21438,c_21167,c_21160,c_20888,c_20843,c_20460,c_20427,c_20285,c_19145,c_19116,c_18987,c_18892,c_18610,c_18607,c_18484,c_18487,c_18481,c_17328,c_17191,c_17176,c_17024,c_15004,c_14108,c_14104,c_14103,c_14101,c_14052,c_14049,c_13954,c_10624,c_10618,c_10513,c_10511,c_10196,c_10017,c_9930,c_9944,c_8018,c_6986,c_6813,c_6450,c_5094,c_4999,c_4998,c_4982,c_4705,c_4700,c_3095,c_2258,c_2139,c_2135,c_2121,c_1999,c_1981,c_1184,c_931,c_928,c_897,c_896,c_491,c_490,c_489,c_488,c_487,c_486,c_485,c_482,c_479,c_476,c_473,c_470,c_467,c_464,c_461,c_460,c_459,c_458,c_457,c_456,c_451,c_450,c_449,c_448,c_447,c_446,c_445,c_442,c_441,c_440,c_439]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP324-1 : TPTP v8.1.2. Released v2.5.0.
% 0.04/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n012.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.36 % DateTime : Thu May 2 23:48:55 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.22/0.49 Running first-order theorem proving
% 0.22/0.49 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 10.38/2.19 % SZS status Started for theBenchmark.p
% 10.38/2.19 % SZS status Unsatisfiable for theBenchmark.p
% 10.38/2.19
% 10.38/2.19 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 10.38/2.19
% 10.38/2.19 ------ iProver source info
% 10.38/2.19
% 10.38/2.19 git: date: 2024-05-02 19:28:25 +0000
% 10.38/2.19 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 10.38/2.19 git: non_committed_changes: false
% 10.38/2.19
% 10.38/2.19 ------ Parsing...successful
% 10.38/2.19
% 10.38/2.19
% 10.38/2.19
% 10.38/2.19 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 10.38/2.19
% 10.38/2.19 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 10.38/2.19
% 10.38/2.19 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 10.38/2.19 ------ Proving...
% 10.38/2.19 ------ Problem Properties
% 10.38/2.19
% 10.38/2.19
% 10.38/2.19 clauses 56
% 10.38/2.19 conjectures 41
% 10.38/2.19 EPR 37
% 10.38/2.19 Horn 19
% 10.38/2.19 unary 15
% 10.38/2.19 binary 36
% 10.38/2.19 lits 106
% 10.38/2.19 lits eq 98
% 10.38/2.19 fd_pure 0
% 10.38/2.19 fd_pseudo 0
% 10.38/2.19 fd_cond 0
% 10.38/2.19 fd_pseudo_cond 0
% 10.38/2.19 AC symbols 0
% 10.38/2.19
% 10.38/2.19 ------ Schedule dynamic 5 is on
% 10.38/2.19
% 10.38/2.19 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.38/2.19
% 10.38/2.19
% 10.38/2.19 ------
% 10.38/2.19 Current options:
% 10.38/2.19 ------
% 10.38/2.19
% 10.38/2.19
% 10.38/2.19
% 10.38/2.19
% 10.38/2.19 ------ Proving...
% 10.38/2.19
% 10.38/2.19
% 10.38/2.19 % SZS status Unsatisfiable for theBenchmark.p
% 10.38/2.19
% 10.38/2.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.38/2.19
% 10.38/2.19
%------------------------------------------------------------------------------