TSTP Solution File: GRP280-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP280-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n026.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 02:22:01 EDT 2024
% Result : Unsatisfiable 17.41s 3.19s
% Output : CNFRefutation 17.41s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c7
| multiply(sk_c9,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c7
| multiply(sk_c4,sk_c5) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c7
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c7
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c7
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c9
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_60,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c9
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( inverse(sk_c4) = sk_c5
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_66,negated_conjecture,
( inverse(sk_c6) = sk_c9
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c9,sk_c7) = sk_c8
| multiply(sk_c9,sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c4,sk_c5) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c9,sk_c7) = sk_c8
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c9
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_77,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c7
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
cnf(c_78,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
cnf(c_79,negated_conjecture,
( multiply(sk_c9,sk_c7) = sk_c8
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_80,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c9
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
cnf(c_81,negated_conjecture,
( inverse(sk_c4) = sk_c5
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
cnf(c_82,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
cnf(c_83,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c7
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
cnf(c_84,negated_conjecture,
( inverse(sk_c6) = sk_c9
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
cnf(c_85,negated_conjecture,
( multiply(X0,X1) != sk_c9
| multiply(X1,sk_c8) != sk_c9
| multiply(X2,sk_c9) != sk_c8
| multiply(X3,sk_c9) != X4
| multiply(X5,sk_c9) != sk_c7
| multiply(sk_c9,X4) != sk_c8
| multiply(sk_c9,sk_c8) != sk_c7
| multiply(sk_c9,sk_c7) != sk_c8
| inverse(X0) != X1
| inverse(X2) != sk_c9
| inverse(X3) != sk_c9
| inverse(X5) != sk_c9 ),
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(sk_c9,multiply(X0,sk_c9)) != sk_c8
| multiply(X1,inverse(X1)) != sk_c9
| multiply(inverse(X1),sk_c8) != sk_c9
| multiply(X2,sk_c9) != sk_c8
| multiply(X3,sk_c9) != sk_c7
| multiply(sk_c9,sk_c8) != sk_c7
| multiply(sk_c9,sk_c7) != sk_c8
| inverse(X0) != sk_c9
| inverse(X2) != sk_c9
| inverse(X3) != sk_c9 ),
inference(unflattening,[status(thm)],[c_85]) ).
cnf(c_430,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_431,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c9
| multiply(inverse(X0),sk_c8) != sk_c9
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_89]) ).
cnf(c_432,negated_conjecture,
( multiply(X0,sk_c9) != sk_c7
| inverse(X0) != sk_c9
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_89]) ).
cnf(c_433,negated_conjecture,
( multiply(sk_c9,multiply(X0,sk_c9)) != sk_c8
| inverse(X0) != sk_c9
| ~ sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_89]) ).
cnf(c_434,negated_conjecture,
( multiply(sk_c9,sk_c8) != sk_c7
| multiply(sk_c9,sk_c7) != sk_c8
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_89]) ).
cnf(c_435,plain,
multiply(sk_c9,sk_c8) = sP4_iProver_def,
definition ).
cnf(c_436,plain,
multiply(sk_c9,sk_c7) = sP5_iProver_def,
definition ).
cnf(c_437,plain,
inverse(sk_c6) = sP6_iProver_def,
definition ).
cnf(c_438,plain,
inverse(sk_c2) = sP7_iProver_def,
definition ).
cnf(c_439,plain,
multiply(sk_c6,sk_c9) = sP8_iProver_def,
definition ).
cnf(c_440,plain,
multiply(sk_c5,sk_c8) = sP9_iProver_def,
definition ).
cnf(c_441,plain,
inverse(sk_c4) = sP10_iProver_def,
definition ).
cnf(c_442,plain,
multiply(sk_c4,sk_c5) = sP11_iProver_def,
definition ).
cnf(c_443,plain,
multiply(sk_c2,sk_c9) = sP12_iProver_def,
definition ).
cnf(c_444,plain,
multiply(sk_c9,sk_c3) = sP13_iProver_def,
definition ).
cnf(c_445,plain,
inverse(sk_c1) = sP14_iProver_def,
definition ).
cnf(c_446,plain,
multiply(sk_c1,sk_c9) = sP15_iProver_def,
definition ).
cnf(c_447,negated_conjecture,
( sP4_iProver_def != sk_c7
| sP5_iProver_def != sk_c8
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_434,c_436,c_435]) ).
cnf(c_448,negated_conjecture,
( multiply(sk_c9,multiply(X0,sk_c9)) != sk_c8
| inverse(X0) != sk_c9
| ~ sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_433]) ).
cnf(c_449,negated_conjecture,
( multiply(X0,sk_c9) != sk_c7
| inverse(X0) != sk_c9
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_432]) ).
cnf(c_450,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c9
| multiply(inverse(X0),sk_c8) != sk_c9
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_431]) ).
cnf(c_451,negated_conjecture,
( multiply(X0,sk_c9) != sk_c8
| inverse(X0) != sk_c9
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_430]) ).
cnf(c_452,negated_conjecture,
( sP6_iProver_def = sk_c9
| sP7_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_84,c_438,c_437]) ).
cnf(c_453,negated_conjecture,
( sP7_iProver_def = sk_c9
| sP8_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_83,c_439]) ).
cnf(c_454,negated_conjecture,
( sP7_iProver_def = sk_c9
| sP9_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_82,c_440]) ).
cnf(c_455,negated_conjecture,
( sP7_iProver_def = sk_c9
| sP10_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_81,c_441]) ).
cnf(c_456,negated_conjecture,
( sP7_iProver_def = sk_c9
| sP11_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_80,c_442]) ).
cnf(c_457,negated_conjecture,
( sP5_iProver_def = sk_c8
| sP7_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_79]) ).
cnf(c_458,negated_conjecture,
( sP6_iProver_def = sk_c9
| sP12_iProver_def = sk_c3 ),
inference(demodulation,[status(thm)],[c_78,c_443]) ).
cnf(c_459,negated_conjecture,
( sP8_iProver_def = sk_c7
| sP12_iProver_def = sk_c3 ),
inference(demodulation,[status(thm)],[c_77]) ).
cnf(c_462,negated_conjecture,
( sP11_iProver_def = sk_c9
| sP12_iProver_def = sk_c3 ),
inference(demodulation,[status(thm)],[c_74]) ).
cnf(c_463,negated_conjecture,
( sP5_iProver_def = sk_c8
| sP12_iProver_def = sk_c3 ),
inference(demodulation,[status(thm)],[c_73]) ).
cnf(c_464,negated_conjecture,
( sP6_iProver_def = sk_c9
| sP13_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_72,c_444]) ).
cnf(c_465,negated_conjecture,
( sP8_iProver_def = sk_c7
| sP13_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_71]) ).
cnf(c_467,negated_conjecture,
( sP10_iProver_def = sk_c5
| sP13_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_69]) ).
cnf(c_468,negated_conjecture,
( sP11_iProver_def = sk_c9
| sP13_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_68]) ).
cnf(c_469,negated_conjecture,
( sP5_iProver_def = sk_c8
| sP13_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_67]) ).
cnf(c_470,negated_conjecture,
( sP6_iProver_def = sk_c9
| sP14_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_66,c_445]) ).
cnf(c_472,negated_conjecture,
( sP9_iProver_def = sk_c9
| sP14_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_64]) ).
cnf(c_473,negated_conjecture,
( sP10_iProver_def = sk_c5
| sP14_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_63]) ).
cnf(c_474,negated_conjecture,
( sP11_iProver_def = sk_c9
| sP14_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_62]) ).
cnf(c_476,negated_conjecture,
( sP6_iProver_def = sk_c9
| sP15_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_60,c_446]) ).
cnf(c_478,negated_conjecture,
( sP9_iProver_def = sk_c9
| sP15_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_58]) ).
cnf(c_479,negated_conjecture,
( sP10_iProver_def = sk_c5
| sP15_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_57]) ).
cnf(c_480,negated_conjecture,
( sP11_iProver_def = sk_c9
| sP15_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_482,negated_conjecture,
( sP4_iProver_def = sk_c7
| sP6_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_483,negated_conjecture,
( sP4_iProver_def = sk_c7
| sP8_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_53]) ).
cnf(c_485,negated_conjecture,
( sP4_iProver_def = sk_c7
| sP10_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_486,negated_conjecture,
( sP4_iProver_def = sk_c7
| sP11_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_487,negated_conjecture,
( sP4_iProver_def = sk_c7
| sP5_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_488,plain,
X0 = X0,
theory(equality) ).
cnf(c_489,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_494,plain,
sk_c9 = sk_c9,
inference(instantiation,[status(thm)],[c_488]) ).
cnf(c_773,plain,
( multiply(sP7_iProver_def,sk_c8) = sP4_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_452,c_435]) ).
cnf(c_785,plain,
( multiply(sP7_iProver_def,sk_c7) = sP5_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_452,c_436]) ).
cnf(c_832,plain,
( multiply(sk_c9,sP13_iProver_def) = sP4_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_464,c_435]) ).
cnf(c_845,plain,
( multiply(sk_c9,sP8_iProver_def) = sP5_iProver_def
| sk_c8 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_465,c_436]) ).
cnf(c_870,plain,
( multiply(sk_c4,sP10_iProver_def) = sP11_iProver_def
| sk_c8 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_467,c_442]) ).
cnf(c_871,plain,
( multiply(sk_c4,sP10_iProver_def) = sP11_iProver_def
| sk_c9 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_455,c_442]) ).
cnf(c_878,plain,
( multiply(sk_c2,sP7_iProver_def) = sP12_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_452,c_443]) ).
cnf(c_887,plain,
( multiply(sP7_iProver_def,sk_c3) = sP13_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_452,c_444]) ).
cnf(c_888,plain,
( multiply(sk_c9,sP12_iProver_def) = sP13_iProver_def
| sk_c8 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_463,c_444]) ).
cnf(c_892,plain,
( multiply(sk_c9,sP12_iProver_def) = sP13_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_459,c_444]) ).
cnf(c_921,plain,
multiply(sP10_iProver_def,sk_c4) = identity,
inference(superposition,[status(thm)],[c_441,c_87]) ).
cnf(c_922,plain,
multiply(sP6_iProver_def,sk_c6) = identity,
inference(superposition,[status(thm)],[c_437,c_87]) ).
cnf(c_923,plain,
multiply(sP14_iProver_def,sk_c1) = identity,
inference(superposition,[status(thm)],[c_445,c_87]) ).
cnf(c_924,plain,
multiply(sP7_iProver_def,sk_c2) = identity,
inference(superposition,[status(thm)],[c_438,c_87]) ).
cnf(c_946,plain,
( multiply(sk_c9,sP13_iProver_def) = sP4_iProver_def
| sk_c8 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_469,c_435]) ).
cnf(c_955,plain,
( sk_c7 != X0
| sP4_iProver_def != X0
| sP4_iProver_def = sk_c7 ),
inference(instantiation,[status(thm)],[c_489]) ).
cnf(c_958,plain,
( X0 != X1
| sk_c7 != X1
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_489]) ).
cnf(c_966,plain,
( multiply(sk_c1,sP14_iProver_def) = sP15_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_470,c_446]) ).
cnf(c_970,plain,
( multiply(sP14_iProver_def,sk_c7) = sP5_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_470,c_436]) ).
cnf(c_971,plain,
( multiply(sP14_iProver_def,sk_c8) = sP4_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_470,c_435]) ).
cnf(c_974,plain,
( sk_c9 = sP6_iProver_def
| sP7_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_470,c_452]) ).
cnf(c_995,plain,
( X0 != sk_c7
| sk_c7 != sk_c7
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_958]) ).
cnf(c_996,plain,
sk_c7 = sk_c7,
inference(instantiation,[status(thm)],[c_488]) ).
cnf(c_1001,plain,
( multiply(identity,sk_c7) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = multiply(identity,sk_c7) ),
inference(instantiation,[status(thm)],[c_995]) ).
cnf(c_1002,plain,
multiply(identity,sk_c7) = sk_c7,
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_1004,plain,
( X0 != X1
| sk_c7 != X1
| X0 = sk_c7 ),
inference(instantiation,[status(thm)],[c_489]) ).
cnf(c_1006,plain,
( sk_c7 != sk_c7
| sP8_iProver_def != sk_c7
| sk_c7 = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_995]) ).
cnf(c_1016,plain,
( sk_c7 != sk_c7
| sP4_iProver_def != sk_c7
| sk_c7 = sP4_iProver_def ),
inference(instantiation,[status(thm)],[c_995]) ).
cnf(c_1029,plain,
( multiply(sP14_iProver_def,sk_c8) = sP4_iProver_def
| sk_c9 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_472,c_435]) ).
cnf(c_1054,plain,
( inverse(X0) != X1
| sk_c9 != X1
| inverse(X0) = sk_c9 ),
inference(instantiation,[status(thm)],[c_489]) ).
cnf(c_1062,plain,
( X0 != multiply(identity,sk_c7)
| sk_c7 != multiply(identity,sk_c7)
| X0 = sk_c7 ),
inference(instantiation,[status(thm)],[c_1004]) ).
cnf(c_1064,plain,
( sk_c7 != sP4_iProver_def
| sP4_iProver_def != sP4_iProver_def
| sP4_iProver_def = sk_c7 ),
inference(instantiation,[status(thm)],[c_955]) ).
cnf(c_1065,plain,
( X0 != sP4_iProver_def
| sk_c7 != sP4_iProver_def
| X0 = sk_c7 ),
inference(instantiation,[status(thm)],[c_1004]) ).
cnf(c_1068,plain,
( sk_c9 != sP4_iProver_def
| sk_c7 != sP4_iProver_def
| sk_c9 = sk_c7 ),
inference(instantiation,[status(thm)],[c_1065]) ).
cnf(c_1073,plain,
( multiply(sk_c4,sP10_iProver_def) = sP11_iProver_def
| sk_c9 = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_473,c_442]) ).
cnf(c_1086,plain,
( multiply(sk_c1,sP14_iProver_def) = sP15_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_474,c_446]) ).
cnf(c_1091,plain,
( multiply(sP14_iProver_def,sk_c8) = sP4_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_474,c_435]) ).
cnf(c_1125,plain,
( inverse(sk_c1) != sP14_iProver_def
| sk_c9 != sP14_iProver_def
| inverse(sk_c1) = sk_c9 ),
inference(instantiation,[status(thm)],[c_1054]) ).
cnf(c_1158,plain,
multiply(identity,multiply(identity,sk_c7)) = multiply(identity,sk_c7),
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_1181,plain,
( sk_c9 = sP6_iProver_def
| sP13_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_476,c_464]) ).
cnf(c_1183,plain,
( multiply(sk_c9,sP15_iProver_def) = sP4_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_476,c_435]) ).
cnf(c_1216,plain,
( sk_c7 != sP8_iProver_def
| sP4_iProver_def != sP8_iProver_def
| sP4_iProver_def = sk_c7 ),
inference(instantiation,[status(thm)],[c_955]) ).
cnf(c_1282,plain,
( multiply(sk_c4,sP10_iProver_def) = sP11_iProver_def
| sk_c8 = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_479,c_442]) ).
cnf(c_1311,plain,
( sk_c9 = sP11_iProver_def
| sP13_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_480,c_468]) ).
cnf(c_1394,plain,
( multiply(identity,multiply(identity,sk_c7)) != multiply(identity,sk_c7)
| sk_c7 != multiply(identity,sk_c7)
| multiply(identity,multiply(identity,sk_c7)) = sk_c7 ),
inference(instantiation,[status(thm)],[c_1062]) ).
cnf(c_1410,plain,
( sk_c9 = sP6_iProver_def
| sk_c7 = sP4_iProver_def
| sP4_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_482,c_483]) ).
cnf(c_1412,plain,
( multiply(sk_c9,sP8_iProver_def) = sP5_iProver_def
| sk_c7 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_483,c_436]) ).
cnf(c_1469,plain,
( multiply(sk_c4,sP10_iProver_def) = sP11_iProver_def
| sk_c7 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_485,c_442]) ).
cnf(c_1524,plain,
( multiply(sk_c9,sP4_iProver_def) = sP5_iProver_def
| sk_c8 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_487,c_436]) ).
cnf(c_1543,plain,
( multiply(identity,multiply(identity,sk_c7)) != X0
| sP4_iProver_def != X0
| sP4_iProver_def = multiply(identity,multiply(identity,sk_c7)) ),
inference(instantiation,[status(thm)],[c_489]) ).
cnf(c_1566,plain,
( sk_c8 != sP5_iProver_def
| sk_c9 = sP11_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_486,c_447]) ).
cnf(c_1569,plain,
( sk_c8 != sP5_iProver_def
| sk_c9 = sP6_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_482,c_447]) ).
cnf(c_1634,plain,
( X0 != X1
| sP7_iProver_def != X1
| sP7_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_489]) ).
cnf(c_1645,plain,
( inverse(sk_c6) != sk_c9
| sk_c7 != sP8_iProver_def
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_439,c_449]) ).
cnf(c_1646,plain,
( inverse(sk_c1) != sk_c9
| sk_c7 != sP15_iProver_def
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_446,c_449]) ).
cnf(c_1649,plain,
( inverse(inverse(sk_c9)) != sk_c9
| sk_c7 != identity
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_87,c_449]) ).
cnf(c_1663,plain,
( sk_c9 != sP14_iProver_def
| sk_c7 != sP15_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1646,c_445]) ).
cnf(c_1667,plain,
( sk_c9 != sP6_iProver_def
| sk_c7 != sP8_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1645,c_437]) ).
cnf(c_1727,plain,
( inverse(sk_c6) != sk_c9
| sk_c8 != sP8_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_439,c_451]) ).
cnf(c_1728,plain,
( inverse(sk_c1) != sk_c9
| sk_c8 != sP15_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_446,c_451]) ).
cnf(c_1731,plain,
( inverse(inverse(sk_c9)) != sk_c9
| sk_c8 != identity
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_87,c_451]) ).
cnf(c_1745,plain,
( sk_c9 != sP14_iProver_def
| sk_c8 != sP15_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1728,c_445]) ).
cnf(c_1749,plain,
( sk_c9 != sP6_iProver_def
| sk_c8 != sP8_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1727,c_437]) ).
cnf(c_1834,plain,
( X0 != X1
| sP7_iProver_def != X1
| X0 = sP7_iProver_def ),
inference(instantiation,[status(thm)],[c_489]) ).
cnf(c_1851,plain,
( multiply(sk_c9,sP8_iProver_def) != sk_c8
| inverse(sk_c6) != sk_c9
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_439,c_448]) ).
cnf(c_1873,plain,
( multiply(sk_c9,sP8_iProver_def) != sk_c8
| sk_c9 != sP6_iProver_def
| ~ sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1851,c_437]) ).
cnf(c_1940,plain,
( multiply(sk_c8,inverse(sk_c8)) != sk_c9
| sk_c9 != identity
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_87,c_450]) ).
cnf(c_1942,plain,
( multiply(sk_c6,inverse(sk_c6)) != sk_c9
| multiply(sP6_iProver_def,sk_c8) != sk_c9
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_437,c_450]) ).
cnf(c_1944,plain,
( multiply(sk_c2,inverse(sk_c2)) != sk_c9
| multiply(sP7_iProver_def,sk_c8) != sk_c9
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_438,c_450]) ).
cnf(c_1958,plain,
( multiply(sk_c2,sP7_iProver_def) != sk_c9
| multiply(sP7_iProver_def,sk_c8) != sk_c9
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1944,c_438]) ).
cnf(c_1966,plain,
( multiply(sk_c6,sP6_iProver_def) != sk_c9
| multiply(sP6_iProver_def,sk_c8) != sk_c9
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1942,c_437]) ).
cnf(c_2035,plain,
( X0 != X1
| sP14_iProver_def != X1
| X0 = sP14_iProver_def ),
inference(instantiation,[status(thm)],[c_489]) ).
cnf(c_2088,plain,
multiply(sk_c9,multiply(sk_c8,X0)) = multiply(sP4_iProver_def,X0),
inference(superposition,[status(thm)],[c_435,c_88]) ).
cnf(c_2089,plain,
multiply(sk_c9,multiply(sk_c7,X0)) = multiply(sP5_iProver_def,X0),
inference(superposition,[status(thm)],[c_436,c_88]) ).
cnf(c_2090,plain,
multiply(sk_c4,multiply(sk_c5,X0)) = multiply(sP11_iProver_def,X0),
inference(superposition,[status(thm)],[c_442,c_88]) ).
cnf(c_2091,plain,
multiply(sk_c5,multiply(sk_c8,X0)) = multiply(sP9_iProver_def,X0),
inference(superposition,[status(thm)],[c_440,c_88]) ).
cnf(c_2092,plain,
multiply(sk_c6,multiply(sk_c9,X0)) = multiply(sP8_iProver_def,X0),
inference(superposition,[status(thm)],[c_439,c_88]) ).
cnf(c_2093,plain,
multiply(sk_c1,multiply(sk_c9,X0)) = multiply(sP15_iProver_def,X0),
inference(superposition,[status(thm)],[c_446,c_88]) ).
cnf(c_2095,plain,
multiply(sk_c2,multiply(sk_c9,X0)) = multiply(sP12_iProver_def,X0),
inference(superposition,[status(thm)],[c_443,c_88]) ).
cnf(c_2097,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_87,c_88]) ).
cnf(c_2099,plain,
multiply(sP10_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_921,c_88]) ).
cnf(c_2100,plain,
multiply(sP6_iProver_def,multiply(sk_c6,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_922,c_88]) ).
cnf(c_2101,plain,
multiply(sP14_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_923,c_88]) ).
cnf(c_2102,plain,
multiply(sP7_iProver_def,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_924,c_88]) ).
cnf(c_2107,plain,
multiply(sP7_iProver_def,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2102,c_86]) ).
cnf(c_2108,plain,
multiply(sP14_iProver_def,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2101,c_86]) ).
cnf(c_2109,plain,
multiply(sP6_iProver_def,multiply(sk_c6,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2100,c_86]) ).
cnf(c_2110,plain,
multiply(sP10_iProver_def,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2099,c_86]) ).
cnf(c_2329,plain,
( inverse(X0) != X1
| X2 != X1
| X2 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_489]) ).
cnf(c_2671,plain,
( sP6_iProver_def = sP11_iProver_def
| sP13_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_1311,c_1181]) ).
cnf(c_2870,plain,
multiply(sP7_iProver_def,sP12_iProver_def) = sk_c9,
inference(superposition,[status(thm)],[c_443,c_2107]) ).
cnf(c_2991,plain,
sP4_iProver_def = sP4_iProver_def,
inference(instantiation,[status(thm)],[c_488]) ).
cnf(c_2992,plain,
( X0 != X1
| sP4_iProver_def != X1
| sP4_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_489]) ).
cnf(c_3005,plain,
( multiply(sP7_iProver_def,sP15_iProver_def) = sP4_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_476,c_773]) ).
cnf(c_3227,plain,
( multiply(sP7_iProver_def,sP4_iProver_def) = sP5_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_482,c_785]) ).
cnf(c_3359,plain,
multiply(sP14_iProver_def,sP15_iProver_def) = sk_c9,
inference(superposition,[status(thm)],[c_446,c_2108]) ).
cnf(c_3364,plain,
multiply(sP6_iProver_def,sP8_iProver_def) = sk_c9,
inference(superposition,[status(thm)],[c_439,c_2109]) ).
cnf(c_3405,plain,
multiply(sP10_iProver_def,sP11_iProver_def) = sk_c5,
inference(superposition,[status(thm)],[c_442,c_2110]) ).
cnf(c_3408,plain,
multiply(sP10_iProver_def,multiply(sP11_iProver_def,X0)) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_3405,c_88]) ).
cnf(c_3970,plain,
( multiply(sP7_iProver_def,sP12_iProver_def) = sP13_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_458,c_887]) ).
cnf(c_3972,plain,
( sk_c9 = sP6_iProver_def
| sk_c9 = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3970,c_2870]) ).
cnf(c_4084,plain,
( multiply(sP13_iProver_def,sP13_iProver_def) = sP4_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_3972,c_832]) ).
cnf(c_4097,plain,
( sk_c9 = sP6_iProver_def
| sP13_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_3972,c_470]) ).
cnf(c_4102,plain,
( multiply(sP13_iProver_def,sk_c7) = sP5_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_3972,c_436]) ).
cnf(c_4106,plain,
( sk_c9 = sP6_iProver_def
| sP7_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_3972,c_452]) ).
cnf(c_4172,plain,
( multiply(identity,multiply(identity,sk_c7)) != X0
| sk_c9 != X0
| multiply(identity,multiply(identity,sk_c7)) = sk_c9 ),
inference(instantiation,[status(thm)],[c_489]) ).
cnf(c_4196,plain,
( inverse(X0) != X1
| sP7_iProver_def != X1
| sP7_iProver_def = inverse(X0) ),
inference(instantiation,[status(thm)],[c_1634]) ).
cnf(c_4203,plain,
( multiply(identity,multiply(identity,sk_c7)) != X0
| sP7_iProver_def != X0
| sP7_iProver_def = multiply(identity,multiply(identity,sk_c7)) ),
inference(instantiation,[status(thm)],[c_1634]) ).
cnf(c_4930,plain,
( sP4_iProver_def != X0
| sP7_iProver_def != X0
| sP4_iProver_def = sP7_iProver_def ),
inference(instantiation,[status(thm)],[c_1834]) ).
cnf(c_5155,plain,
( multiply(sP14_iProver_def,sP15_iProver_def) = sP14_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_966,c_2108]) ).
cnf(c_5156,plain,
( sk_c9 = sP6_iProver_def
| sk_c9 = sP14_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5155,c_3359]) ).
cnf(c_5319,plain,
( multiply(sP14_iProver_def,sP15_iProver_def) = sP4_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_476,c_971]) ).
cnf(c_5327,plain,
( sk_c9 = sP4_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5319,c_3359]) ).
cnf(c_5410,plain,
( sP4_iProver_def != X0
| sP14_iProver_def != X0
| sP4_iProver_def = sP14_iProver_def ),
inference(instantiation,[status(thm)],[c_2035]) ).
cnf(c_5413,plain,
( sP4_iProver_def != sk_c9
| sP14_iProver_def != sk_c9
| sP4_iProver_def = sP14_iProver_def ),
inference(instantiation,[status(thm)],[c_5410]) ).
cnf(c_5515,plain,
( multiply(sP14_iProver_def,sP15_iProver_def) = sP4_iProver_def
| sk_c9 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_478,c_1029]) ).
cnf(c_5524,plain,
( sk_c9 = sP4_iProver_def
| sk_c9 = sP9_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5515,c_3359]) ).
cnf(c_5614,plain,
( multiply(sk_c6,sP6_iProver_def) = sP8_iProver_def
| sk_c9 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_5327,c_439]) ).
cnf(c_5774,plain,
( sk_c9 = sP4_iProver_def
| sP6_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_5524,c_5327]) ).
cnf(c_5992,plain,
( inverse(sk_c1) != sk_c9
| X0 != sk_c9
| X0 = inverse(sk_c1) ),
inference(instantiation,[status(thm)],[c_2329]) ).
cnf(c_6147,plain,
( sk_c9 = sP6_iProver_def
| sP4_iProver_def = sP7_iProver_def
| sP6_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_5774,c_452]) ).
cnf(c_6334,plain,
( multiply(identity,multiply(identity,sk_c7)) != sk_c7
| sP4_iProver_def != sk_c7
| sP4_iProver_def = multiply(identity,multiply(identity,sk_c7)) ),
inference(instantiation,[status(thm)],[c_1543]) ).
cnf(c_6469,plain,
( multiply(sP14_iProver_def,sP15_iProver_def) = sP4_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_480,c_1091]) ).
cnf(c_6479,plain,
( sk_c9 = sP4_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6469,c_3359]) ).
cnf(c_6644,plain,
( sk_c9 = sP4_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_6479,c_5524]) ).
cnf(c_6645,plain,
( sk_c9 = sP4_iProver_def
| sP6_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_6479,c_5327]) ).
cnf(c_6680,plain,
( multiply(sP11_iProver_def,sk_c7) = sP5_iProver_def
| sk_c9 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_6479,c_436]) ).
cnf(c_6681,plain,
( multiply(sP11_iProver_def,sk_c8) = sP4_iProver_def
| sk_c9 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_6479,c_435]) ).
cnf(c_6861,plain,
( multiply(sP13_iProver_def,sP15_iProver_def) = sP4_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_3972,c_1183]) ).
cnf(c_7570,plain,
( sk_c9 = sP7_iProver_def
| sP4_iProver_def = sP11_iProver_def
| sP6_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_6645,c_456]) ).
cnf(c_8765,plain,
( multiply(sP9_iProver_def,sP4_iProver_def) = sP5_iProver_def
| sk_c9 = sP4_iProver_def
| sk_c8 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_5524,c_1524]) ).
cnf(c_9321,plain,
multiply(sk_c4,sP9_iProver_def) = multiply(sP11_iProver_def,sk_c8),
inference(superposition,[status(thm)],[c_440,c_2090]) ).
cnf(c_9437,plain,
multiply(sk_c6,sP13_iProver_def) = multiply(sP8_iProver_def,sk_c3),
inference(superposition,[status(thm)],[c_444,c_2092]) ).
cnf(c_9833,plain,
multiply(sk_c1,sP4_iProver_def) = multiply(sP15_iProver_def,sk_c8),
inference(superposition,[status(thm)],[c_435,c_2093]) ).
cnf(c_9834,plain,
multiply(sk_c1,sP5_iProver_def) = multiply(sP15_iProver_def,sk_c7),
inference(superposition,[status(thm)],[c_436,c_2093]) ).
cnf(c_9835,plain,
multiply(sk_c1,sP13_iProver_def) = multiply(sP15_iProver_def,sk_c3),
inference(superposition,[status(thm)],[c_444,c_2093]) ).
cnf(c_9848,plain,
( multiply(sk_c1,sP13_iProver_def) = multiply(sP15_iProver_def,sP12_iProver_def)
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_892,c_2093]) ).
cnf(c_10340,plain,
multiply(sk_c2,sP4_iProver_def) = multiply(sP12_iProver_def,sk_c8),
inference(superposition,[status(thm)],[c_435,c_2095]) ).
cnf(c_10341,plain,
multiply(sk_c2,sP5_iProver_def) = multiply(sP12_iProver_def,sk_c7),
inference(superposition,[status(thm)],[c_436,c_2095]) ).
cnf(c_10342,plain,
multiply(sk_c2,sP13_iProver_def) = multiply(sP12_iProver_def,sk_c3),
inference(superposition,[status(thm)],[c_444,c_2095]) ).
cnf(c_10598,plain,
multiply(sP7_iProver_def,multiply(sP12_iProver_def,sk_c8)) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_10340,c_2107]) ).
cnf(c_11073,plain,
( sk_c7 = sP4_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_1410,c_483,c_996,c_1006,c_1016,c_1216,c_1410]) ).
cnf(c_11074,plain,
( sk_c9 = sP6_iProver_def
| sk_c7 = sP4_iProver_def ),
inference(renaming,[status(thm)],[c_11073]) ).
cnf(c_11504,plain,
( multiply(identity,multiply(identity,sk_c7)) != sk_c9
| inverse(sk_c1) != sk_c9
| multiply(identity,multiply(identity,sk_c7)) = inverse(sk_c1) ),
inference(instantiation,[status(thm)],[c_5992]) ).
cnf(c_14431,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2097,c_86]) ).
cnf(c_14436,plain,
multiply(inverse(sk_c9),sP4_iProver_def) = sk_c8,
inference(superposition,[status(thm)],[c_435,c_14431]) ).
cnf(c_14437,plain,
multiply(inverse(sk_c9),sP5_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_436,c_14431]) ).
cnf(c_14439,plain,
multiply(inverse(sk_c5),sP9_iProver_def) = sk_c8,
inference(superposition,[status(thm)],[c_440,c_14431]) ).
cnf(c_14442,plain,
multiply(inverse(sk_c9),sP13_iProver_def) = sk_c3,
inference(superposition,[status(thm)],[c_444,c_14431]) ).
cnf(c_14444,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_86,c_14431]) ).
cnf(c_14445,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_87,c_14431]) ).
cnf(c_14485,plain,
( multiply(inverse(sk_c9),sP4_iProver_def) = sP13_iProver_def
| sk_c8 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_946,c_14431]) ).
cnf(c_14565,plain,
multiply(inverse(sP10_iProver_def),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_2110,c_14431]) ).
cnf(c_14566,plain,
multiply(inverse(sP6_iProver_def),X0) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_2109,c_14431]) ).
cnf(c_14567,plain,
multiply(inverse(sP14_iProver_def),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_2108,c_14431]) ).
cnf(c_14568,plain,
multiply(inverse(sP7_iProver_def),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_2107,c_14431]) ).
cnf(c_14612,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_14431,c_14431]) ).
cnf(c_14947,plain,
( sP4_iProver_def != multiply(identity,multiply(identity,sk_c7))
| sP7_iProver_def != multiply(identity,multiply(identity,sk_c7))
| sP4_iProver_def = sP7_iProver_def ),
inference(instantiation,[status(thm)],[c_4930]) ).
cnf(c_15101,plain,
( X0 != sP4_iProver_def
| sP4_iProver_def != sP4_iProver_def
| sP4_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_2992]) ).
cnf(c_15102,plain,
( sk_c9 != sP4_iProver_def
| sP4_iProver_def != sP4_iProver_def
| sP4_iProver_def = sk_c9 ),
inference(instantiation,[status(thm)],[c_15101]) ).
cnf(c_15176,plain,
( inverse(sk_c1) != sP14_iProver_def
| sP7_iProver_def != sP14_iProver_def
| sP7_iProver_def = inverse(sk_c1) ),
inference(instantiation,[status(thm)],[c_4196]) ).
cnf(c_15427,plain,
( multiply(inverse(sP11_iProver_def),sP4_iProver_def) = sk_c8
| sk_c9 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_6479,c_14436]) ).
cnf(c_15841,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_14445,c_14612]) ).
cnf(c_15867,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_15841,c_14444]) ).
cnf(c_16447,plain,
( multiply(identity,multiply(identity,sk_c7)) != inverse(sk_c1)
| sP7_iProver_def != inverse(sk_c1)
| sP7_iProver_def = multiply(identity,multiply(identity,sk_c7)) ),
inference(instantiation,[status(thm)],[c_4203]) ).
cnf(c_16627,plain,
( multiply(sk_c9,multiply(sk_c4,sk_c9)) != sk_c8
| inverse(inverse(sP10_iProver_def)) != sk_c9
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_14565,c_448]) ).
cnf(c_16632,plain,
multiply(sk_c4,sP10_iProver_def) = identity,
inference(superposition,[status(thm)],[c_14565,c_87]) ).
cnf(c_16635,plain,
multiply(sk_c4,identity) = inverse(sP10_iProver_def),
inference(superposition,[status(thm)],[c_14565,c_15841]) ).
cnf(c_16648,plain,
( sk_c7 = sP4_iProver_def
| identity = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_1469,c_16632]) ).
cnf(c_16649,plain,
( sk_c8 = sP15_iProver_def
| identity = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_1282,c_16632]) ).
cnf(c_16650,plain,
( sk_c9 = sP14_iProver_def
| identity = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_1073,c_16632]) ).
cnf(c_16651,plain,
( sk_c9 = sP7_iProver_def
| identity = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_871,c_16632]) ).
cnf(c_16652,plain,
( sk_c8 = sP13_iProver_def
| identity = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_870,c_16632]) ).
cnf(c_17027,plain,
( sk_c7 != sP4_iProver_def
| identity != sP4_iProver_def
| identity = sk_c7 ),
inference(instantiation,[status(thm)],[c_1065]) ).
cnf(c_18980,plain,
( sk_c8 != sP5_iProver_def
| identity = sP11_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_16648,c_447]) ).
cnf(c_19071,plain,
( multiply(sk_c9,sP15_iProver_def) = sP4_iProver_def
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_16649,c_435]) ).
cnf(c_19337,plain,
( multiply(sk_c1,sP14_iProver_def) = sP15_iProver_def
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_16650,c_446]) ).
cnf(c_19338,plain,
( multiply(sP14_iProver_def,sk_c3) = sP13_iProver_def
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_16650,c_444]) ).
cnf(c_19612,plain,
inverse(sP10_iProver_def) = sk_c4,
inference(demodulation,[status(thm)],[c_16635,c_15841]) ).
cnf(c_19767,plain,
( multiply(sP7_iProver_def,sP12_iProver_def) = sP13_iProver_def
| sk_c7 = sP8_iProver_def
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_16651,c_892]) ).
cnf(c_19794,plain,
( multiply(sk_c2,sP7_iProver_def) = sP12_iProver_def
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_16651,c_443]) ).
cnf(c_19875,plain,
( sk_c9 = sP13_iProver_def
| sk_c7 = sP8_iProver_def
| identity = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_19767,c_2870]) ).
cnf(c_20201,plain,
( identity = sP11_iProver_def
| sP13_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_16652,c_16649]) ).
cnf(c_20239,plain,
( multiply(sk_c9,sP13_iProver_def) = sP4_iProver_def
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_16652,c_435]) ).
cnf(c_21734,plain,
( multiply(identity,multiply(identity,sk_c7)) != sk_c7
| sk_c9 != sk_c7
| multiply(identity,multiply(identity,sk_c7)) = sk_c9 ),
inference(instantiation,[status(thm)],[c_4172]) ).
cnf(c_22406,plain,
( multiply(sk_c6,sk_c9) != sk_c7
| inverse(inverse(sP6_iProver_def)) != sk_c9
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_14566,c_449]) ).
cnf(c_22409,plain,
multiply(sk_c6,sP6_iProver_def) = identity,
inference(superposition,[status(thm)],[c_14566,c_87]) ).
cnf(c_22412,plain,
multiply(sk_c6,identity) = inverse(sP6_iProver_def),
inference(superposition,[status(thm)],[c_14566,c_15841]) ).
cnf(c_22413,plain,
( inverse(inverse(sP6_iProver_def)) != sk_c9
| sk_c7 != sP8_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_22406,c_439]) ).
cnf(c_24026,plain,
( sP4_iProver_def = sP7_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_6147,c_445,c_974,c_996,c_1001,c_1002,c_1064,c_1068,c_1125,c_1158,c_1394,c_2991,c_5156,c_5327,c_6334,c_11074,c_11504,c_14947,c_15176,c_16447,c_21734]) ).
cnf(c_24027,plain,
( sk_c9 = sP6_iProver_def
| sP4_iProver_def = sP7_iProver_def ),
inference(renaming,[status(thm)],[c_24026]) ).
cnf(c_25030,plain,
( sk_c7 != sk_c7
| identity != sk_c7
| sk_c7 = identity ),
inference(instantiation,[status(thm)],[c_995]) ).
cnf(c_25580,plain,
inverse(sP6_iProver_def) = sk_c6,
inference(demodulation,[status(thm)],[c_22412,c_15841]) ).
cnf(c_27211,plain,
( multiply(sP7_iProver_def,sP8_iProver_def) = sP5_iProver_def
| sk_c7 = sP4_iProver_def
| sP4_iProver_def = sP11_iProver_def
| sP6_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_7570,c_1412]) ).
cnf(c_28968,plain,
( sk_c9 != X0
| sP6_iProver_def != X0
| sk_c9 = sP6_iProver_def ),
inference(instantiation,[status(thm)],[c_489]) ).
cnf(c_28969,plain,
( sk_c9 != sk_c9
| sP6_iProver_def != sk_c9
| sk_c9 = sP6_iProver_def ),
inference(instantiation,[status(thm)],[c_28968]) ).
cnf(c_29560,plain,
( multiply(sk_c1,sk_c9) != sk_c7
| inverse(inverse(sP14_iProver_def)) != sk_c9
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_14567,c_449]) ).
cnf(c_29563,plain,
multiply(sk_c1,sP14_iProver_def) = identity,
inference(superposition,[status(thm)],[c_14567,c_87]) ).
cnf(c_29565,plain,
multiply(sk_c1,multiply(sP14_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_14567,c_14431]) ).
cnf(c_29566,plain,
multiply(sk_c1,identity) = inverse(sP14_iProver_def),
inference(superposition,[status(thm)],[c_14567,c_15841]) ).
cnf(c_29579,plain,
( inverse(inverse(sP14_iProver_def)) != sk_c9
| sk_c7 != sP15_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_29560,c_446]) ).
cnf(c_29594,plain,
( sk_c9 = sP11_iProver_def
| identity = sP15_iProver_def ),
inference(demodulation,[status(thm)],[c_1086,c_29563]) ).
cnf(c_29596,plain,
( sk_c9 = sP6_iProver_def
| identity = sP15_iProver_def ),
inference(demodulation,[status(thm)],[c_966,c_29563]) ).
cnf(c_31260,plain,
( identity = sP15_iProver_def
| sP6_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_29596,c_29594]) ).
cnf(c_35385,plain,
inverse(sP14_iProver_def) = sk_c1,
inference(demodulation,[status(thm)],[c_29566,c_15841]) ).
cnf(c_35411,plain,
( multiply(sk_c1,sP5_iProver_def) = sk_c7
| sk_c9 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_970,c_29565]) ).
cnf(c_35471,plain,
( multiply(sP15_iProver_def,sk_c7) = sk_c7
| sk_c9 = sP6_iProver_def ),
inference(light_normalisation,[status(thm)],[c_35411,c_9834]) ).
cnf(c_38935,plain,
( sk_c9 = sP4_iProver_def
| identity = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5614,c_22409]) ).
cnf(c_39064,plain,
( sk_c9 = sP6_iProver_def
| identity = sP8_iProver_def
| sP4_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_38935,c_470]) ).
cnf(c_39985,plain,
multiply(sk_c2,sP7_iProver_def) = identity,
inference(superposition,[status(thm)],[c_14568,c_87]) ).
cnf(c_39987,plain,
multiply(sk_c2,multiply(sP7_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_14568,c_14431]) ).
cnf(c_39988,plain,
multiply(sk_c2,identity) = inverse(sP7_iProver_def),
inference(superposition,[status(thm)],[c_14568,c_15841]) ).
cnf(c_40005,plain,
( sk_c9 = sP6_iProver_def
| identity = sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_878,c_39985]) ).
cnf(c_40064,plain,
inverse(sP7_iProver_def) = sk_c2,
inference(demodulation,[status(thm)],[c_39988,c_15841]) ).
cnf(c_40878,plain,
( sk_c9 = sP6_iProver_def
| sP4_iProver_def = sP14_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_39064,c_494,c_470,c_2991,c_5327,c_5413,c_15102,c_28969]) ).
cnf(c_44418,plain,
( sk_c9 = sP7_iProver_def
| identity = sP12_iProver_def
| sP6_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_40005,c_456]) ).
cnf(c_45167,plain,
( multiply(sk_c2,sP4_iProver_def) = sP15_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_3005,c_39987]) ).
cnf(c_45169,plain,
( multiply(sk_c2,sP5_iProver_def) = sP4_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_3227,c_39987]) ).
cnf(c_45175,plain,
( multiply(sP12_iProver_def,sk_c7) = sP4_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(light_normalisation,[status(thm)],[c_45169,c_10341]) ).
cnf(c_45181,plain,
( multiply(sP12_iProver_def,sk_c8) = sP15_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(light_normalisation,[status(thm)],[c_45167,c_10340]) ).
cnf(c_47031,plain,
( multiply(sk_c2,sP7_iProver_def) = sP12_iProver_def
| identity = sP12_iProver_def
| sP6_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_44418,c_443]) ).
cnf(c_47049,plain,
( identity = sP12_iProver_def
| sP6_iProver_def = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_47031,c_39985]) ).
cnf(c_48092,plain,
( identity = sP11_iProver_def
| sk_c8 != sP5_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_18980,c_1745,c_16650,c_16649,c_18980]) ).
cnf(c_48093,plain,
( sk_c8 != sP5_iProver_def
| identity = sP11_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(renaming,[status(thm)],[c_48092]) ).
cnf(c_48431,plain,
( sP6_iProver_def = sP11_iProver_def
| sP12_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_47049,c_31260]) ).
cnf(c_48789,plain,
( sP6_iProver_def = sP11_iProver_def
| sP12_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_48431,c_2671]) ).
cnf(c_49067,plain,
( multiply(sk_c6,sP12_iProver_def) = multiply(sP8_iProver_def,sk_c3)
| sP6_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_48789,c_9437]) ).
cnf(c_57893,plain,
( multiply(sP14_iProver_def,sP15_iProver_def) = sP4_iProver_def
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_16650,c_19071]) ).
cnf(c_57941,plain,
( sk_c9 = sP4_iProver_def
| identity = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_57893,c_3359]) ).
cnf(c_58199,plain,
( multiply(sP4_iProver_def,sP12_iProver_def) = sP13_iProver_def
| sk_c7 = sP8_iProver_def
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_57941,c_892]) ).
cnf(c_59418,plain,
( identity = sP11_iProver_def
| identity = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_19337,c_29563]) ).
cnf(c_59501,plain,
( multiply(sk_c1,sP13_iProver_def) = sk_c3
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_19338,c_29565]) ).
cnf(c_59502,plain,
( multiply(sP15_iProver_def,sk_c3) = sk_c3
| identity = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_59501,c_9835]) ).
cnf(c_62222,plain,
( identity = sP11_iProver_def
| identity = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_19794,c_39985]) ).
cnf(c_62243,plain,
( identity = sP11_iProver_def
| sP12_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_62222,c_59418]) ).
cnf(c_64252,plain,
( multiply(sP4_iProver_def,sP13_iProver_def) = sP4_iProver_def
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_57941,c_20239]) ).
cnf(c_69131,plain,
( multiply(inverse(sP13_iProver_def),sP4_iProver_def) = sP13_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_4084,c_14431]) ).
cnf(c_69182,plain,
( multiply(inverse(sP13_iProver_def),sP4_iProver_def) = sP15_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_6861,c_14431]) ).
cnf(c_70646,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_14612,c_87]) ).
cnf(c_70648,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_14612,c_14431]) ).
cnf(c_70649,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_14612,c_15841]) ).
cnf(c_70650,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_70649,c_15841]) ).
cnf(c_70684,plain,
( sk_c8 != identity
| ~ sP0_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_1731,c_70650]) ).
cnf(c_70685,plain,
( sk_c7 != identity
| ~ sP2_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_1649,c_70650]) ).
cnf(c_70691,plain,
inverse(inverse(sk_c9)) = sk_c9,
inference(instantiation,[status(thm)],[c_70650]) ).
cnf(c_71120,plain,
multiply(sP9_iProver_def,inverse(sk_c8)) = multiply(sk_c5,identity),
inference(superposition,[status(thm)],[c_70646,c_2091]) ).
cnf(c_71121,plain,
multiply(sP4_iProver_def,inverse(sk_c8)) = multiply(sk_c9,identity),
inference(superposition,[status(thm)],[c_70646,c_2088]) ).
cnf(c_71126,plain,
multiply(sP5_iProver_def,inverse(sk_c7)) = multiply(sk_c9,identity),
inference(superposition,[status(thm)],[c_70646,c_2089]) ).
cnf(c_71129,plain,
multiply(sk_c5,inverse(sP11_iProver_def)) = multiply(sP10_iProver_def,identity),
inference(superposition,[status(thm)],[c_70646,c_3408]) ).
cnf(c_71137,plain,
multiply(sP12_iProver_def,inverse(sk_c9)) = multiply(sk_c2,identity),
inference(superposition,[status(thm)],[c_70646,c_2095]) ).
cnf(c_71157,plain,
multiply(sP12_iProver_def,inverse(sk_c9)) = sk_c2,
inference(light_normalisation,[status(thm)],[c_71137,c_39988,c_40064]) ).
cnf(c_71960,plain,
( identity != sP15_iProver_def
| ~ sP0_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_480,c_70684]) ).
cnf(c_71962,plain,
( identity != sP15_iProver_def
| ~ sP0_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_476,c_70684]) ).
cnf(c_72023,plain,
( identity != sP4_iProver_def
| ~ sP2_iProver_def
| sk_c8 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_487,c_70685]) ).
cnf(c_72027,plain,
( identity != sP4_iProver_def
| ~ sP2_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_482,c_70685]) ).
cnf(c_72699,plain,
( ~ sP0_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_71960,c_29594,c_71960]) ).
cnf(c_72706,plain,
( sk_c8 != sP5_iProver_def
| sk_c9 = sP11_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_1566,c_72699]) ).
cnf(c_72747,plain,
( ~ sP0_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_71962,c_29596,c_71962]) ).
cnf(c_75383,plain,
( ~ sP2_iProver_def
| identity != sP4_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_72023,c_483,c_996,c_1006,c_1016,c_1667,c_1649,c_17027,c_25030,c_70691,c_72027]) ).
cnf(c_75384,plain,
( identity != sP4_iProver_def
| ~ sP2_iProver_def ),
inference(renaming,[status(thm)],[c_75383]) ).
cnf(c_78463,plain,
( inverse(inverse(sk_c9)) != sk_c9
| sk_c9 != sk_c8
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_70648,c_448]) ).
cnf(c_78510,plain,
( sk_c9 != sk_c8
| ~ sP3_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_78463,c_70650]) ).
cnf(c_78647,plain,
( sk_c9 != sP13_iProver_def
| ~ sP3_iProver_def
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_16652,c_78510]) ).
cnf(c_78667,plain,
( sk_c9 != sP15_iProver_def
| ~ sP3_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_476,c_78510]) ).
cnf(c_78672,plain,
( sk_c9 != sP13_iProver_def
| ~ sP3_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_464,c_78510]) ).
cnf(c_79910,plain,
( ~ sP3_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_78667,c_3972,c_78672]) ).
cnf(c_82883,plain,
multiply(sP9_iProver_def,inverse(sk_c8)) = sk_c5,
inference(demodulation,[status(thm)],[c_71120,c_15841]) ).
cnf(c_83185,plain,
multiply(sP4_iProver_def,inverse(sk_c8)) = sk_c9,
inference(demodulation,[status(thm)],[c_71121,c_15841]) ).
cnf(c_85836,plain,
multiply(sP5_iProver_def,inverse(sk_c7)) = sk_c9,
inference(light_normalisation,[status(thm)],[c_71126,c_71121,c_83185]) ).
cnf(c_85840,plain,
( multiply(sP5_iProver_def,inverse(sP4_iProver_def)) = sk_c9
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_16648,c_85836]) ).
cnf(c_87903,plain,
multiply(sk_c5,inverse(sP11_iProver_def)) = sP10_iProver_def,
inference(demodulation,[status(thm)],[c_71129,c_15841]) ).
cnf(c_87925,plain,
multiply(inverse(sk_c5),sP10_iProver_def) = inverse(sP11_iProver_def),
inference(superposition,[status(thm)],[c_87903,c_14431]) ).
cnf(c_105383,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_87925,c_85840,c_85836,c_82883,c_79910,c_78647,c_78510,c_75384,c_72747,c_72706,c_71157,c_71126,c_71120,c_70684,c_69182,c_69131,c_64252,c_62243,c_59502,c_58199,c_57941,c_49067,c_48093,c_45181,c_45175,c_40878,c_40064,c_39988,c_39985,c_35471,c_35385,c_29596,c_29579,c_27211,c_25580,c_24027,c_22413,c_22412,c_22409,c_20201,c_19875,c_19612,c_16650,c_16627,c_16632,c_15867,c_15427,c_14485,c_14442,c_14439,c_14437,c_14436,c_10598,c_10342,c_10341,c_10340,c_9848,c_9835,c_9833,c_9437,c_9321,c_8765,c_6681,c_6680,c_6645,c_6644,c_5327,c_5156,c_4102,c_4106,c_4097,c_3972,c_3405,c_3364,c_2870,c_1966,c_1958,c_1940,c_1873,c_1749,c_1663,c_1569,c_1524,c_1412,c_892,c_888,c_845,c_462,c_457,c_456,c_455,c_454,c_453,c_452,c_447,c_446,c_445,c_443,c_442,c_441,c_440,c_439,c_437,c_436,c_435]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP280-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 00:22:06 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 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
% 17.41/3.19 % SZS status Started for theBenchmark.p
% 17.41/3.19 % SZS status Unsatisfiable for theBenchmark.p
% 17.41/3.19
% 17.41/3.19 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 17.41/3.19
% 17.41/3.19 ------ iProver source info
% 17.41/3.19
% 17.41/3.19 git: date: 2024-05-02 19:28:25 +0000
% 17.41/3.19 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 17.41/3.19 git: non_committed_changes: false
% 17.41/3.19
% 17.41/3.19 ------ Parsing...successful
% 17.41/3.19
% 17.41/3.19
% 17.41/3.19
% 17.41/3.19 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 17.41/3.19
% 17.41/3.19 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 17.41/3.19
% 17.41/3.19 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 17.41/3.19 ------ Proving...
% 17.41/3.19 ------ Problem Properties
% 17.41/3.19
% 17.41/3.19
% 17.41/3.19 clauses 56
% 17.41/3.19 conjectures 41
% 17.41/3.19 EPR 37
% 17.41/3.19 Horn 19
% 17.41/3.19 unary 15
% 17.41/3.19 binary 36
% 17.41/3.19 lits 105
% 17.41/3.19 lits eq 97
% 17.41/3.19 fd_pure 0
% 17.41/3.19 fd_pseudo 0
% 17.41/3.19 fd_cond 0
% 17.41/3.19 fd_pseudo_cond 0
% 17.41/3.19 AC symbols 0
% 17.41/3.19
% 17.41/3.19 ------ Schedule dynamic 5 is on
% 17.41/3.19
% 17.41/3.19 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 17.41/3.19
% 17.41/3.19
% 17.41/3.19 ------
% 17.41/3.19 Current options:
% 17.41/3.19 ------
% 17.41/3.19
% 17.41/3.19
% 17.41/3.19
% 17.41/3.19
% 17.41/3.19 ------ Proving...
% 17.41/3.19
% 17.41/3.19
% 17.41/3.19 % SZS status Unsatisfiable for theBenchmark.p
% 17.41/3.19
% 17.41/3.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.41/3.19
% 17.41/3.19
%------------------------------------------------------------------------------