TSTP Solution File: GRP293-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP293-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n017.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 02:22:04 EDT 2024
% Result : Unsatisfiable 12.31s 2.67s
% Output : CNFRefutation 12.31s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c8,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c4,sk_c8) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_60,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_66,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_72,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c2,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| multiply(sk_c2,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_75,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
cnf(c_76,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| multiply(sk_c2,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
cnf(c_77,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| multiply(sk_c2,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
cnf(c_78,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c6
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
cnf(c_79,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_80,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
cnf(c_81,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
cnf(c_82,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
cnf(c_83,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
cnf(c_84,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
cnf(c_85,negated_conjecture,
( multiply(X0,sk_c8) != sk_c7
| multiply(X1,sk_c8) != sk_c6
| multiply(X2,sk_c7) != sk_c8
| multiply(X3,sk_c8) != X4
| multiply(sk_c8,X4) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c6
| multiply(sk_c8,sk_c6) != sk_c7
| multiply(sk_c7,sk_c8) != sk_c6
| inverse(X0) != sk_c8
| inverse(X1) != sk_c8
| inverse(X2) != sk_c7
| inverse(X3) != sk_c8 ),
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_c8,multiply(X0,sk_c8)) != sk_c7
| multiply(X1,sk_c8) != sk_c7
| multiply(X2,sk_c8) != sk_c6
| multiply(X3,sk_c7) != sk_c8
| multiply(sk_c8,sk_c7) != sk_c6
| multiply(sk_c8,sk_c6) != sk_c7
| multiply(sk_c7,sk_c8) != sk_c6
| inverse(X0) != sk_c8
| inverse(X1) != sk_c8
| inverse(X2) != sk_c8
| inverse(X3) != sk_c7 ),
inference(unflattening,[status(thm)],[c_85]) ).
cnf(c_434,negated_conjecture,
( multiply(X0,sk_c8) != sk_c6
| 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_c8) != sk_c7
| inverse(X0) != sk_c8
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_89]) ).
cnf(c_436,negated_conjecture,
( multiply(X0,sk_c7) != sk_c8
| 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_c8,sk_c7) != sk_c6
| multiply(sk_c8,sk_c6) != sk_c7
| multiply(sk_c7,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_c8,sk_c7) = sP4_iProver_def,
definition ).
cnf(c_440,plain,
multiply(sk_c8,sk_c6) = sP5_iProver_def,
definition ).
cnf(c_441,plain,
multiply(sk_c7,sk_c8) = sP6_iProver_def,
definition ).
cnf(c_442,plain,
inverse(sk_c4) = sP7_iProver_def,
definition ).
cnf(c_443,plain,
inverse(sk_c2) = sP8_iProver_def,
definition ).
cnf(c_444,plain,
multiply(sk_c4,sk_c8) = sP9_iProver_def,
definition ).
cnf(c_445,plain,
multiply(sk_c8,sk_c5) = sP10_iProver_def,
definition ).
cnf(c_446,plain,
inverse(sk_c3) = sP11_iProver_def,
definition ).
cnf(c_447,plain,
multiply(sk_c3,sk_c7) = sP12_iProver_def,
definition ).
cnf(c_448,plain,
multiply(sk_c2,sk_c8) = sP13_iProver_def,
definition ).
cnf(c_449,plain,
inverse(sk_c1) = sP14_iProver_def,
definition ).
cnf(c_450,plain,
multiply(sk_c1,sk_c8) = sP15_iProver_def,
definition ).
cnf(c_451,negated_conjecture,
( sP4_iProver_def != sk_c6
| sP5_iProver_def != sk_c7
| 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_c8
| inverse(X0) != sk_c7
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_436]) ).
cnf(c_454,negated_conjecture,
( multiply(X0,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_435]) ).
cnf(c_455,negated_conjecture,
( multiply(X0,sk_c8) != sk_c6
| inverse(X0) != sk_c8
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_434]) ).
cnf(c_456,negated_conjecture,
( sP7_iProver_def = sk_c8
| 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_c5 ),
inference(demodulation,[status(thm)],[c_83,c_444]) ).
cnf(c_458,negated_conjecture,
( sP8_iProver_def = sk_c8
| sP10_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_82,c_445]) ).
cnf(c_459,negated_conjecture,
( sP8_iProver_def = sk_c8
| sP11_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_81,c_446]) ).
cnf(c_460,negated_conjecture,
( sP8_iProver_def = sk_c8
| sP12_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_80,c_447]) ).
cnf(c_461,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP8_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_79]) ).
cnf(c_462,negated_conjecture,
( sP7_iProver_def = sk_c8
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_78,c_448]) ).
cnf(c_463,negated_conjecture,
( sP9_iProver_def = sk_c5
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_77]) ).
cnf(c_464,negated_conjecture,
( sP10_iProver_def = sk_c7
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_76]) ).
cnf(c_465,negated_conjecture,
( sP11_iProver_def = sk_c7
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_75]) ).
cnf(c_466,negated_conjecture,
( sP12_iProver_def = sk_c8
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_74]) ).
cnf(c_467,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_73]) ).
cnf(c_468,negated_conjecture,
( sP5_iProver_def = sk_c7
| sP7_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_72]) ).
cnf(c_471,negated_conjecture,
( sP5_iProver_def = sk_c7
| sP11_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_69]) ).
cnf(c_472,negated_conjecture,
( sP5_iProver_def = sk_c7
| sP12_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_68]) ).
cnf(c_473,negated_conjecture,
( sP5_iProver_def = sk_c7
| sP6_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_67]) ).
cnf(c_474,negated_conjecture,
( sP7_iProver_def = sk_c8
| sP14_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_66,c_449]) ).
cnf(c_477,negated_conjecture,
( sP11_iProver_def = sk_c7
| sP14_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_63]) ).
cnf(c_478,negated_conjecture,
( sP12_iProver_def = sk_c8
| sP14_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_62]) ).
cnf(c_479,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP14_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_61]) ).
cnf(c_480,negated_conjecture,
( sP7_iProver_def = sk_c8
| sP15_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_60,c_450]) ).
cnf(c_483,negated_conjecture,
( sP11_iProver_def = sk_c7
| sP15_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_57]) ).
cnf(c_484,negated_conjecture,
( sP12_iProver_def = sk_c8
| sP15_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_485,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP15_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_486,negated_conjecture,
( sP4_iProver_def = sk_c6
| sP7_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_487,negated_conjecture,
( sP4_iProver_def = sk_c6
| sP9_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_53]) ).
cnf(c_488,negated_conjecture,
( sP4_iProver_def = sk_c6
| sP10_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_489,negated_conjecture,
( sP4_iProver_def = sk_c6
| sP11_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_490,negated_conjecture,
( sP4_iProver_def = sk_c6
| sP12_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_491,negated_conjecture,
( sP4_iProver_def = sk_c6
| sP6_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_492,plain,
X0 = X0,
theory(equality) ).
cnf(c_493,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_777,plain,
( multiply(sP12_iProver_def,sk_c7) = sP4_iProver_def
| sk_c8 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_460,c_439]) ).
cnf(c_778,plain,
( multiply(sP8_iProver_def,sk_c7) = sP4_iProver_def
| sk_c8 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_456,c_439]) ).
cnf(c_789,plain,
( multiply(sP12_iProver_def,sk_c6) = sP5_iProver_def
| sk_c8 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_460,c_440]) ).
cnf(c_790,plain,
( multiply(sP8_iProver_def,sk_c6) = sP5_iProver_def
| sk_c8 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_456,c_440]) ).
cnf(c_791,plain,
( multiply(sk_c8,sP13_iProver_def) = sP5_iProver_def
| sk_c8 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_462,c_440]) ).
cnf(c_801,plain,
( multiply(sP11_iProver_def,sk_c8) = sP6_iProver_def
| sk_c8 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_459,c_441]) ).
cnf(c_804,plain,
( multiply(sk_c7,sP8_iProver_def) = sP6_iProver_def
| sk_c8 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_456,c_441]) ).
cnf(c_814,plain,
( multiply(sk_c4,sP8_iProver_def) = sP9_iProver_def
| sk_c8 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_456,c_444]) ).
cnf(c_824,plain,
( multiply(sk_c8,sP13_iProver_def) = sP5_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_464,c_440]) ).
cnf(c_836,plain,
( multiply(sk_c8,sP13_iProver_def) = sP5_iProver_def
| sk_c7 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_465,c_440]) ).
cnf(c_861,plain,
( sk_c8 = sP8_iProver_def
| sk_c6 = sP6_iProver_def
| sP6_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_467,c_461]) ).
cnf(c_935,plain,
( multiply(sk_c8,sP9_iProver_def) = sP10_iProver_def
| sk_c6 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_463,c_445]) ).
cnf(c_947,plain,
( multiply(sk_c3,sP11_iProver_def) = sP12_iProver_def
| sk_c7 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_471,c_447]) ).
cnf(c_949,plain,
( multiply(sk_c3,sP5_iProver_def) = sP12_iProver_def
| sk_c8 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_468,c_447]) ).
cnf(c_950,plain,
( multiply(sk_c3,sP11_iProver_def) = sP12_iProver_def
| sk_c8 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_459,c_447]) ).
cnf(c_963,plain,
( multiply(sk_c2,sP8_iProver_def) = sP13_iProver_def
| sk_c8 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_456,c_448]) ).
cnf(c_968,plain,
( sk_c6 != X0
| sP4_iProver_def != X0
| sP4_iProver_def = sk_c6 ),
inference(instantiation,[status(thm)],[c_493]) ).
cnf(c_977,plain,
( X0 != X1
| sk_c6 != X1
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_493]) ).
cnf(c_978,plain,
multiply(sP11_iProver_def,sk_c3) = identity,
inference(superposition,[status(thm)],[c_446,c_87]) ).
cnf(c_979,plain,
multiply(sP7_iProver_def,sk_c4) = identity,
inference(superposition,[status(thm)],[c_442,c_87]) ).
cnf(c_980,plain,
multiply(sP14_iProver_def,sk_c1) = identity,
inference(superposition,[status(thm)],[c_449,c_87]) ).
cnf(c_981,plain,
multiply(sP8_iProver_def,sk_c2) = identity,
inference(superposition,[status(thm)],[c_443,c_87]) ).
cnf(c_982,plain,
( X0 != sk_c6
| sk_c6 != sk_c6
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_977]) ).
cnf(c_983,plain,
sk_c6 = sk_c6,
inference(instantiation,[status(thm)],[c_492]) ).
cnf(c_991,plain,
( X0 != X1
| sk_c6 != X1
| X0 = sk_c6 ),
inference(instantiation,[status(thm)],[c_493]) ).
cnf(c_993,plain,
( sk_c6 != sk_c6
| sP6_iProver_def != sk_c6
| sk_c6 = sP6_iProver_def ),
inference(instantiation,[status(thm)],[c_982]) ).
cnf(c_1030,plain,
( sk_c6 != sk_c6
| sP4_iProver_def != sk_c6
| sk_c6 = sP4_iProver_def ),
inference(instantiation,[status(thm)],[c_982]) ).
cnf(c_1077,plain,
( sk_c6 != sP6_iProver_def
| sP4_iProver_def != sP6_iProver_def
| sP4_iProver_def = sk_c6 ),
inference(instantiation,[status(thm)],[c_968]) ).
cnf(c_1088,plain,
( multiply(sk_c1,sP14_iProver_def) = sP15_iProver_def
| sk_c8 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_474,c_450]) ).
cnf(c_1092,plain,
( multiply(sk_c7,sP14_iProver_def) = sP6_iProver_def
| sk_c8 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_474,c_441]) ).
cnf(c_1094,plain,
( multiply(sP14_iProver_def,sk_c7) = sP4_iProver_def
| sk_c8 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_474,c_439]) ).
cnf(c_1096,plain,
( sk_c8 = sP7_iProver_def
| sP8_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_474,c_456]) ).
cnf(c_1194,plain,
( multiply(sk_c3,sP11_iProver_def) = sP12_iProver_def
| sk_c8 = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_477,c_447]) ).
cnf(c_1226,plain,
( multiply(sP14_iProver_def,sk_c7) = sP4_iProver_def
| sk_c8 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_478,c_439]) ).
cnf(c_1257,plain,
( X0 != X1
| sP4_iProver_def != X1
| sP4_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_493]) ).
cnf(c_1322,plain,
( multiply(sk_c3,sP15_iProver_def) = sP12_iProver_def
| sk_c8 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_480,c_447]) ).
cnf(c_1325,plain,
( sk_c8 = sP7_iProver_def
| sP5_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_480,c_468]) ).
cnf(c_1326,plain,
( multiply(sP15_iProver_def,sk_c8) = sP6_iProver_def
| sk_c8 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_480,c_441]) ).
cnf(c_1446,plain,
( X0 != sP4_iProver_def
| sk_c6 != sP4_iProver_def
| X0 = sk_c6 ),
inference(instantiation,[status(thm)],[c_991]) ).
cnf(c_1545,plain,
( sk_c8 = sP12_iProver_def
| sP5_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_484,c_472]) ).
cnf(c_1624,plain,
( X0 != sk_c6
| sP4_iProver_def != sk_c6
| sP4_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_1257]) ).
cnf(c_1646,plain,
( sk_c8 = sP7_iProver_def
| sk_c6 = sP6_iProver_def
| sP4_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_486,c_467]) ).
cnf(c_1651,plain,
( sk_c8 = sP7_iProver_def
| sP4_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_486,c_462]) ).
cnf(c_1719,plain,
( multiply(sk_c8,sP9_iProver_def) = sP10_iProver_def
| sk_c6 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_487,c_445]) ).
cnf(c_1742,plain,
( multiply(sk_c8,sP4_iProver_def) = sP5_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_488,c_440]) ).
cnf(c_1822,plain,
( sk_c7 = sP11_iProver_def
| sP4_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_489,c_465]) ).
cnf(c_1824,plain,
( multiply(sk_c8,sP4_iProver_def) = sP5_iProver_def
| sk_c7 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_489,c_440]) ).
cnf(c_1890,plain,
( sk_c8 = sP12_iProver_def
| sP4_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_490,c_466]) ).
cnf(c_1893,plain,
( multiply(sk_c8,sP4_iProver_def) = sP5_iProver_def
| sk_c8 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_490,c_440]) ).
cnf(c_1956,plain,
( sk_c8 = sP7_iProver_def
| sk_c6 = sP4_iProver_def
| sP4_iProver_def = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_491,c_486]) ).
cnf(c_1957,plain,
( sk_c6 = sP4_iProver_def
| sk_c6 = sP6_iProver_def
| sP6_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_491,c_467]) ).
cnf(c_2021,plain,
( inverse(sk_c8) != sk_c7
| sk_c8 != sP4_iProver_def
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_439,c_453]) ).
cnf(c_2023,plain,
( inverse(identity) != sk_c7
| sk_c8 != sk_c7
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_86,c_453]) ).
cnf(c_2150,plain,
( inverse(sk_c4) != sk_c8
| sk_c7 != sP9_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_444,c_454]) ).
cnf(c_2151,plain,
( inverse(sk_c1) != sk_c8
| sk_c7 != sP15_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_450,c_454]) ).
cnf(c_2153,plain,
( inverse(identity) != sk_c8
| sk_c8 != sk_c7
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_86,c_454]) ).
cnf(c_2154,plain,
( inverse(inverse(sk_c8)) != sk_c8
| sk_c7 != identity
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_87,c_454]) ).
cnf(c_2166,plain,
( sk_c8 != sP14_iProver_def
| sk_c7 != sP15_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2151,c_449]) ).
cnf(c_2170,plain,
( sk_c8 != sP7_iProver_def
| sk_c7 != sP9_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2150,c_442]) ).
cnf(c_2211,plain,
( sP4_iProver_def != sk_c6
| sP13_iProver_def != sk_c6
| sP4_iProver_def = sP13_iProver_def ),
inference(instantiation,[status(thm)],[c_1624]) ).
cnf(c_2221,plain,
( inverse(sk_c7) != sk_c8
| sk_c6 != sP6_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_441,c_455]) ).
cnf(c_2223,plain,
( inverse(sk_c1) != sk_c8
| sk_c6 != sP15_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_450,c_455]) ).
cnf(c_2224,plain,
( inverse(sk_c2) != sk_c8
| sk_c6 != sP13_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_448,c_455]) ).
cnf(c_2225,plain,
( inverse(identity) != sk_c8
| sk_c8 != sk_c6
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_86,c_455]) ).
cnf(c_2234,plain,
( sk_c8 != sP8_iProver_def
| sk_c6 != sP13_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2224,c_443]) ).
cnf(c_2238,plain,
( sk_c8 != sP14_iProver_def
| sk_c6 != sP15_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2223,c_449]) ).
cnf(c_2289,plain,
sP13_iProver_def = sP13_iProver_def,
inference(instantiation,[status(thm)],[c_492]) ).
cnf(c_2290,plain,
( X0 != X1
| sP13_iProver_def != X1
| X0 = sP13_iProver_def ),
inference(instantiation,[status(thm)],[c_493]) ).
cnf(c_2396,plain,
( X0 != X1
| sP4_iProver_def != X1
| X0 = sP4_iProver_def ),
inference(instantiation,[status(thm)],[c_493]) ).
cnf(c_2428,plain,
( sk_c7 != sP5_iProver_def
| sk_c6 != sP6_iProver_def
| sP4_iProver_def != sP6_iProver_def
| sk_c8 = sP8_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_461,c_451]) ).
cnf(c_2669,plain,
multiply(sk_c8,multiply(sk_c7,X0)) = multiply(sP4_iProver_def,X0),
inference(superposition,[status(thm)],[c_439,c_88]) ).
cnf(c_2670,plain,
multiply(sk_c7,multiply(sk_c8,X0)) = multiply(sP6_iProver_def,X0),
inference(superposition,[status(thm)],[c_441,c_88]) ).
cnf(c_2671,plain,
multiply(sk_c3,multiply(sk_c7,X0)) = multiply(sP12_iProver_def,X0),
inference(superposition,[status(thm)],[c_447,c_88]) ).
cnf(c_2672,plain,
multiply(sk_c8,multiply(sk_c5,X0)) = multiply(sP10_iProver_def,X0),
inference(superposition,[status(thm)],[c_445,c_88]) ).
cnf(c_2673,plain,
multiply(sk_c4,multiply(sk_c8,X0)) = multiply(sP9_iProver_def,X0),
inference(superposition,[status(thm)],[c_444,c_88]) ).
cnf(c_2674,plain,
multiply(sk_c1,multiply(sk_c8,X0)) = multiply(sP15_iProver_def,X0),
inference(superposition,[status(thm)],[c_450,c_88]) ).
cnf(c_2675,plain,
multiply(sk_c8,multiply(sk_c6,X0)) = multiply(sP5_iProver_def,X0),
inference(superposition,[status(thm)],[c_440,c_88]) ).
cnf(c_2676,plain,
multiply(sk_c2,multiply(sk_c8,X0)) = multiply(sP13_iProver_def,X0),
inference(superposition,[status(thm)],[c_448,c_88]) ).
cnf(c_2678,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_87,c_88]) ).
cnf(c_2680,plain,
multiply(sP11_iProver_def,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_978,c_88]) ).
cnf(c_2681,plain,
multiply(sP7_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_979,c_88]) ).
cnf(c_2682,plain,
multiply(sP14_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_980,c_88]) ).
cnf(c_2683,plain,
multiply(sP8_iProver_def,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_981,c_88]) ).
cnf(c_2689,plain,
multiply(sP8_iProver_def,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2683,c_86]) ).
cnf(c_2690,plain,
multiply(sP14_iProver_def,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2682,c_86]) ).
cnf(c_2691,plain,
multiply(sP7_iProver_def,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2681,c_86]) ).
cnf(c_2692,plain,
multiply(sP11_iProver_def,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2680,c_86]) ).
cnf(c_2879,plain,
( multiply(sk_c4,sP7_iProver_def) = sP9_iProver_def
| sP8_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_1096,c_444]) ).
cnf(c_2883,plain,
( sk_c8 = sP8_iProver_def
| sP7_iProver_def = sP12_iProver_def
| sP8_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_1096,c_460]) ).
cnf(c_3104,plain,
( multiply(sk_c4,sP7_iProver_def) = sP9_iProver_def
| sP5_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_1325,c_444]) ).
cnf(c_3202,plain,
( sP5_iProver_def = sP15_iProver_def
| sP7_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_1545,c_1325]) ).
cnf(c_3303,plain,
( multiply(sk_c4,sP7_iProver_def) = sP9_iProver_def
| sP4_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_1651,c_444]) ).
cnf(c_3491,plain,
( multiply(sk_c3,sP11_iProver_def) = sP12_iProver_def
| sP4_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_1822,c_447]) ).
cnf(c_3494,plain,
( multiply(sP11_iProver_def,sk_c8) = sP6_iProver_def
| sP4_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_1822,c_441]) ).
cnf(c_3531,plain,
( sP4_iProver_def = sP13_iProver_def
| sP7_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_1890,c_1651]) ).
cnf(c_3547,plain,
( multiply(sP12_iProver_def,sk_c7) = sP4_iProver_def
| sP4_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_1890,c_439]) ).
cnf(c_3794,plain,
( multiply(sP8_iProver_def,sP15_iProver_def) = sP4_iProver_def
| sk_c8 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_480,c_778]) ).
cnf(c_3800,plain,
( multiply(sP8_iProver_def,sP5_iProver_def) = sP4_iProver_def
| sk_c8 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_468,c_778]) ).
cnf(c_3803,plain,
( multiply(sP8_iProver_def,multiply(sk_c7,X0)) = multiply(sP4_iProver_def,X0)
| sk_c8 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_778,c_88]) ).
cnf(c_3961,plain,
( multiply(sP12_iProver_def,sP6_iProver_def) = sP5_iProver_def
| sk_c8 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_461,c_789]) ).
cnf(c_4019,plain,
( multiply(sP8_iProver_def,sP4_iProver_def) = sP5_iProver_def
| sk_c8 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_486,c_790]) ).
cnf(c_4027,plain,
( multiply(sP8_iProver_def,sP13_iProver_def) = sP5_iProver_def
| sk_c8 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_462,c_790]) ).
cnf(c_4161,plain,
multiply(sP8_iProver_def,sP13_iProver_def) = sk_c8,
inference(superposition,[status(thm)],[c_448,c_2689]) ).
cnf(c_4166,plain,
multiply(sP14_iProver_def,sP15_iProver_def) = sk_c8,
inference(superposition,[status(thm)],[c_450,c_2690]) ).
cnf(c_4179,plain,
multiply(sP7_iProver_def,sP9_iProver_def) = sk_c8,
inference(superposition,[status(thm)],[c_444,c_2691]) ).
cnf(c_4184,plain,
multiply(sP11_iProver_def,sP12_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_447,c_2692]) ).
cnf(c_4292,plain,
( multiply(sP11_iProver_def,sP12_iProver_def) = sP6_iProver_def
| sk_c8 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_460,c_801]) ).
cnf(c_4298,plain,
( sk_c8 = sP8_iProver_def
| sk_c7 = sP6_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4292,c_4184]) ).
cnf(c_4541,plain,
( multiply(sP5_iProver_def,sP8_iProver_def) = sP6_iProver_def
| sk_c8 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_468,c_804]) ).
cnf(c_4581,plain,
( multiply(sP7_iProver_def,sP9_iProver_def) = sP8_iProver_def
| sk_c8 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_814,c_2691]) ).
cnf(c_4582,plain,
( sk_c8 = sP7_iProver_def
| sk_c8 = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4581,c_4179]) ).
cnf(c_4610,plain,
( multiply(sP12_iProver_def,sP6_iProver_def) = sP4_iProver_def
| sk_c8 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_4298,c_777]) ).
cnf(c_4626,plain,
( multiply(sP6_iProver_def,sk_c8) = sP6_iProver_def
| sk_c8 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_4298,c_441]) ).
cnf(c_5726,plain,
( X0 != sP13_iProver_def
| sP4_iProver_def != sP13_iProver_def
| X0 = sP4_iProver_def ),
inference(instantiation,[status(thm)],[c_2396]) ).
cnf(c_6217,plain,
( multiply(sP11_iProver_def,sP12_iProver_def) = sP5_iProver_def
| sk_c8 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_949,c_2692]) ).
cnf(c_6218,plain,
( sk_c8 = sP7_iProver_def
| sk_c7 = sP5_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6217,c_4184]) ).
cnf(c_6662,plain,
( multiply(sP14_iProver_def,sP15_iProver_def) = sP14_iProver_def
| sk_c8 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_1088,c_2690]) ).
cnf(c_6663,plain,
( sk_c8 = sP7_iProver_def
| sk_c8 = sP14_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6662,c_4166]) ).
cnf(c_6727,plain,
( multiply(sP15_iProver_def,sP14_iProver_def) = sP6_iProver_def
| sk_c8 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_480,c_1092]) ).
cnf(c_6810,plain,
( multiply(sP14_iProver_def,sP15_iProver_def) = sP4_iProver_def
| sk_c8 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_480,c_1094]) ).
cnf(c_6821,plain,
( sk_c8 = sP4_iProver_def
| sk_c8 = sP7_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6810,c_4166]) ).
cnf(c_6893,plain,
( multiply(sk_c4,sP7_iProver_def) = sP9_iProver_def
| sk_c8 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_6821,c_444]) ).
cnf(c_8033,plain,
( sk_c6 != sP4_iProver_def
| sP6_iProver_def != sP4_iProver_def
| sP6_iProver_def = sk_c6 ),
inference(instantiation,[status(thm)],[c_1446]) ).
cnf(c_8063,plain,
( multiply(sP14_iProver_def,sP15_iProver_def) = sP4_iProver_def
| sk_c8 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_484,c_1226]) ).
cnf(c_8077,plain,
( sk_c8 = sP4_iProver_def
| sk_c8 = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_8063,c_4166]) ).
cnf(c_8116,plain,
( sk_c8 = sP4_iProver_def
| sP7_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_8077,c_6821]) ).
cnf(c_8395,plain,
( X0 != sP4_iProver_def
| sP13_iProver_def != sP4_iProver_def
| X0 = sP13_iProver_def ),
inference(instantiation,[status(thm)],[c_2290]) ).
cnf(c_8589,plain,
( multiply(sk_c2,sP4_iProver_def) = sP13_iProver_def
| sP7_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_8116,c_448]) ).
cnf(c_8990,plain,
( multiply(sP11_iProver_def,sP12_iProver_def) = sP15_iProver_def
| sk_c8 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_1322,c_2692]) ).
cnf(c_8991,plain,
( sk_c8 = sP7_iProver_def
| sk_c7 = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_8990,c_4184]) ).
cnf(c_11098,plain,
multiply(sk_c8,sP6_iProver_def) = multiply(sP4_iProver_def,sk_c8),
inference(superposition,[status(thm)],[c_441,c_2669]) ).
cnf(c_11384,plain,
( sk_c8 = sP5_iProver_def
| sk_c8 = sP7_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4027,c_4161]) ).
cnf(c_11465,plain,
( multiply(sk_c4,sP7_iProver_def) = sP9_iProver_def
| sk_c8 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_11384,c_444]) ).
cnf(c_11844,plain,
( multiply(sP4_iProver_def,sP8_iProver_def) = multiply(sP8_iProver_def,sP6_iProver_def)
| sk_c8 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_456,c_11098]) ).
cnf(c_12044,plain,
multiply(sk_c7,sP4_iProver_def) = multiply(sP6_iProver_def,sk_c7),
inference(superposition,[status(thm)],[c_439,c_2670]) ).
cnf(c_12045,plain,
multiply(sk_c7,sP10_iProver_def) = multiply(sP6_iProver_def,sk_c5),
inference(superposition,[status(thm)],[c_445,c_2670]) ).
cnf(c_12046,plain,
multiply(sk_c7,sP5_iProver_def) = multiply(sP6_iProver_def,sk_c6),
inference(superposition,[status(thm)],[c_440,c_2670]) ).
cnf(c_12393,plain,
multiply(sk_c8,multiply(sP6_iProver_def,sk_c7)) = multiply(sP4_iProver_def,sP4_iProver_def),
inference(superposition,[status(thm)],[c_12044,c_2669]) ).
cnf(c_12614,plain,
( multiply(sP5_iProver_def,sP5_iProver_def) = multiply(sP6_iProver_def,sk_c6)
| sk_c8 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_468,c_12046]) ).
cnf(c_12688,plain,
multiply(sk_c3,sP6_iProver_def) = multiply(sP12_iProver_def,sk_c8),
inference(superposition,[status(thm)],[c_441,c_2671]) ).
cnf(c_12695,plain,
multiply(sk_c3,multiply(sP6_iProver_def,sk_c7)) = multiply(sP12_iProver_def,sP4_iProver_def),
inference(superposition,[status(thm)],[c_12044,c_2671]) ).
cnf(c_12696,plain,
multiply(sk_c3,multiply(sP6_iProver_def,sk_c5)) = multiply(sP12_iProver_def,sP10_iProver_def),
inference(superposition,[status(thm)],[c_12045,c_2671]) ).
cnf(c_12753,plain,
multiply(sP11_iProver_def,multiply(sP12_iProver_def,sk_c8)) = sP6_iProver_def,
inference(superposition,[status(thm)],[c_12688,c_2692]) ).
cnf(c_12898,plain,
( multiply(sP10_iProver_def,sk_c8) != sk_c7
| inverse(sk_c5) != sk_c8
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_2672,c_452]) ).
cnf(c_12941,plain,
multiply(sk_c4,sP4_iProver_def) = multiply(sP9_iProver_def,sk_c7),
inference(superposition,[status(thm)],[c_439,c_2673]) ).
cnf(c_12942,plain,
multiply(sk_c4,sP10_iProver_def) = multiply(sP9_iProver_def,sk_c5),
inference(superposition,[status(thm)],[c_445,c_2673]) ).
cnf(c_12943,plain,
multiply(sk_c4,sP5_iProver_def) = multiply(sP9_iProver_def,sk_c6),
inference(superposition,[status(thm)],[c_440,c_2673]) ).
cnf(c_12955,plain,
multiply(sk_c4,multiply(sP4_iProver_def,sk_c8)) = multiply(sP9_iProver_def,sP6_iProver_def),
inference(superposition,[status(thm)],[c_11098,c_2673]) ).
cnf(c_13194,plain,
multiply(sP7_iProver_def,multiply(sP9_iProver_def,sk_c5)) = sP10_iProver_def,
inference(superposition,[status(thm)],[c_12942,c_2691]) ).
cnf(c_13197,plain,
multiply(sP7_iProver_def,multiply(sP9_iProver_def,sk_c6)) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_12943,c_2691]) ).
cnf(c_13245,plain,
( sP4_iProver_def != sP13_iProver_def
| sP13_iProver_def != sP13_iProver_def
| sP13_iProver_def = sP4_iProver_def ),
inference(instantiation,[status(thm)],[c_5726]) ).
cnf(c_13258,plain,
multiply(sk_c1,sP5_iProver_def) = multiply(sP15_iProver_def,sk_c6),
inference(superposition,[status(thm)],[c_440,c_2674]) ).
cnf(c_13644,plain,
( multiply(sP5_iProver_def,sk_c8) != sk_c7
| inverse(sk_c6) != sk_c8
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_2675,c_452]) ).
cnf(c_13800,plain,
multiply(sk_c2,sP4_iProver_def) = multiply(sP13_iProver_def,sk_c7),
inference(superposition,[status(thm)],[c_439,c_2676]) ).
cnf(c_13802,plain,
multiply(sk_c2,sP5_iProver_def) = multiply(sP13_iProver_def,sk_c6),
inference(superposition,[status(thm)],[c_440,c_2676]) ).
cnf(c_13813,plain,
( multiply(sk_c2,sP5_iProver_def) = multiply(sP13_iProver_def,sP13_iProver_def)
| sk_c8 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_791,c_2676]) ).
cnf(c_15516,plain,
( sk_c6 = sP6_iProver_def
| sP4_iProver_def = sP13_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_1646,c_467,c_491,c_983,c_993,c_2211]) ).
cnf(c_15551,plain,
( multiply(sk_c8,sP6_iProver_def) = sP5_iProver_def
| sP4_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_15516,c_440]) ).
cnf(c_15553,plain,
( multiply(sP4_iProver_def,sk_c8) = sP5_iProver_def
| sP4_iProver_def = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_15551,c_11098]) ).
cnf(c_15629,plain,
( multiply(sP11_iProver_def,sP12_iProver_def) = sP6_iProver_def
| sP4_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_1890,c_3494]) ).
cnf(c_15644,plain,
( sk_c7 = sP6_iProver_def
| sP4_iProver_def = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_15629,c_4184]) ).
cnf(c_15851,plain,
( multiply(sk_c8,sP6_iProver_def) = sP4_iProver_def
| sP4_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_15644,c_439]) ).
cnf(c_15858,plain,
( multiply(sP4_iProver_def,sk_c8) = sP4_iProver_def
| sP4_iProver_def = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_15851,c_11098]) ).
cnf(c_16416,plain,
( sk_c6 = sP4_iProver_def
| sk_c8 = sP7_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_1956,c_491,c_983,c_993,c_1030,c_1077,c_1956]) ).
cnf(c_16417,plain,
( sk_c8 = sP7_iProver_def
| sk_c6 = sP4_iProver_def ),
inference(renaming,[status(thm)],[c_16416]) ).
cnf(c_16651,plain,
( inverse(sP6_iProver_def) != sk_c8
| sk_c6 != sP6_iProver_def
| ~ sP0_iProver_def
| sk_c8 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_4626,c_455]) ).
cnf(c_16855,plain,
( sk_c8 = sP8_iProver_def
| sP4_iProver_def = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_4610,c_3961]) ).
cnf(c_17022,plain,
( multiply(sk_c2,sP8_iProver_def) = sP13_iProver_def
| sP4_iProver_def = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_16855,c_448]) ).
cnf(c_17469,plain,
( sk_c6 = sP6_iProver_def
| sk_c6 = sP4_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_1957,c_491,c_983,c_993,c_1030]) ).
cnf(c_17470,plain,
( sk_c6 = sP4_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(renaming,[status(thm)],[c_17469]) ).
cnf(c_17551,plain,
( sP4_iProver_def != sP13_iProver_def
| sP6_iProver_def != sP13_iProver_def
| sP6_iProver_def = sP4_iProver_def ),
inference(instantiation,[status(thm)],[c_5726]) ).
cnf(c_18085,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2678,c_86]) ).
cnf(c_18090,plain,
multiply(inverse(sk_c8),sP4_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_439,c_18085]) ).
cnf(c_18093,plain,
multiply(inverse(sk_c8),sP10_iProver_def) = sk_c5,
inference(superposition,[status(thm)],[c_445,c_18085]) ).
cnf(c_18096,plain,
multiply(inverse(sk_c8),sP5_iProver_def) = sk_c6,
inference(superposition,[status(thm)],[c_440,c_18085]) ).
cnf(c_18098,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_86,c_18085]) ).
cnf(c_18099,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_87,c_18085]) ).
cnf(c_18123,plain,
( multiply(inverse(sk_c8),sP5_iProver_def) = sP13_iProver_def
| sk_c7 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_836,c_18085]) ).
cnf(c_18124,plain,
( multiply(inverse(sk_c8),sP5_iProver_def) = sP13_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_824,c_18085]) ).
cnf(c_18125,plain,
( multiply(inverse(sk_c8),sP5_iProver_def) = sP13_iProver_def
| sk_c8 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_791,c_18085]) ).
cnf(c_18126,plain,
multiply(inverse(sk_c8),multiply(sP4_iProver_def,sk_c8)) = sP6_iProver_def,
inference(superposition,[status(thm)],[c_11098,c_18085]) ).
cnf(c_18222,plain,
( multiply(inverse(sP15_iProver_def),sP6_iProver_def) = sk_c8
| sk_c8 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_1326,c_18085]) ).
cnf(c_18227,plain,
( multiply(inverse(sk_c8),sP5_iProver_def) = sP4_iProver_def
| sk_c8 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_1893,c_18085]) ).
cnf(c_18228,plain,
( multiply(inverse(sk_c8),sP5_iProver_def) = sP4_iProver_def
| sk_c7 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_1824,c_18085]) ).
cnf(c_18229,plain,
( multiply(inverse(sk_c8),sP5_iProver_def) = sP4_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_1742,c_18085]) ).
cnf(c_18240,plain,
multiply(inverse(sP11_iProver_def),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_2692,c_18085]) ).
cnf(c_18241,plain,
multiply(inverse(sP7_iProver_def),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_2691,c_18085]) ).
cnf(c_18242,plain,
multiply(inverse(sP14_iProver_def),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_2690,c_18085]) ).
cnf(c_18243,plain,
multiply(inverse(sP8_iProver_def),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_2689,c_18085]) ).
cnf(c_18296,plain,
( multiply(inverse(sP15_iProver_def),sP6_iProver_def) = sP14_iProver_def
| sk_c8 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_6727,c_18085]) ).
cnf(c_18302,plain,
multiply(inverse(sk_c7),multiply(sP6_iProver_def,sk_c7)) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_12044,c_18085]) ).
cnf(c_18304,plain,
multiply(inverse(sk_c7),multiply(sP6_iProver_def,sk_c5)) = sP10_iProver_def,
inference(superposition,[status(thm)],[c_12045,c_18085]) ).
cnf(c_18313,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_18085,c_18085]) ).
cnf(c_19348,plain,
( inverse(inverse(identity)) != sk_c7
| sk_c8 != sk_c7
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_18098,c_453]) ).
cnf(c_19845,plain,
( sk_c6 != sP4_iProver_def
| sP13_iProver_def != sP4_iProver_def
| sk_c6 = sP13_iProver_def ),
inference(instantiation,[status(thm)],[c_8395]) ).
cnf(c_20070,plain,
( sk_c8 = sP12_iProver_def
| sP7_iProver_def = sP12_iProver_def
| sP8_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_2883,c_478]) ).
cnf(c_20435,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_18099,c_18313]) ).
cnf(c_20462,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_20435,c_18098]) ).
cnf(c_25016,plain,
( multiply(sk_c8,multiply(sk_c3,sk_c8)) != sk_c7
| inverse(inverse(sP11_iProver_def)) != sk_c8
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_18240,c_452]) ).
cnf(c_25019,plain,
multiply(sk_c3,sP11_iProver_def) = identity,
inference(superposition,[status(thm)],[c_18240,c_87]) ).
cnf(c_25022,plain,
( multiply(sk_c3,sk_c7) != sk_c8
| inverse(inverse(sP11_iProver_def)) != sk_c7
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_18240,c_453]) ).
cnf(c_25024,plain,
multiply(sk_c3,identity) = inverse(sP11_iProver_def),
inference(superposition,[status(thm)],[c_18240,c_20435]) ).
cnf(c_25025,plain,
( inverse(inverse(sP11_iProver_def)) != sk_c7
| sk_c8 != sP12_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_25022,c_447]) ).
cnf(c_25038,plain,
( identity = sP12_iProver_def
| sP4_iProver_def = sP13_iProver_def ),
inference(demodulation,[status(thm)],[c_3491,c_25019]) ).
cnf(c_25039,plain,
( sk_c8 = sP14_iProver_def
| identity = sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_1194,c_25019]) ).
cnf(c_25040,plain,
( sk_c8 = sP8_iProver_def
| identity = sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_950,c_25019]) ).
cnf(c_25041,plain,
( sk_c7 = sP5_iProver_def
| identity = sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_947,c_25019]) ).
cnf(c_25227,plain,
( multiply(sP12_iProver_def,X0) = X0
| sP4_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_25038,c_86]) ).
cnf(c_25733,plain,
( identity = sP12_iProver_def
| sP8_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_25040,c_25039]) ).
cnf(c_26314,plain,
( sk_c7 = sP11_iProver_def
| identity = sP12_iProver_def
| sP5_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_25041,c_483]) ).
cnf(c_26396,plain,
inverse(sP11_iProver_def) = sk_c3,
inference(demodulation,[status(thm)],[c_25024,c_20435]) ).
cnf(c_26514,plain,
multiply(sk_c4,sP7_iProver_def) = identity,
inference(superposition,[status(thm)],[c_18241,c_87]) ).
cnf(c_26519,plain,
multiply(sk_c4,identity) = inverse(sP7_iProver_def),
inference(superposition,[status(thm)],[c_18241,c_20435]) ).
cnf(c_26535,plain,
( sk_c8 = sP4_iProver_def
| identity = sP9_iProver_def ),
inference(demodulation,[status(thm)],[c_6893,c_26514]) ).
cnf(c_26536,plain,
( identity = sP9_iProver_def
| sP4_iProver_def = sP13_iProver_def ),
inference(demodulation,[status(thm)],[c_3303,c_26514]) ).
cnf(c_26537,plain,
( identity = sP9_iProver_def
| sP5_iProver_def = sP15_iProver_def ),
inference(demodulation,[status(thm)],[c_3104,c_26514]) ).
cnf(c_26538,plain,
( identity = sP9_iProver_def
| sP8_iProver_def = sP14_iProver_def ),
inference(demodulation,[status(thm)],[c_2879,c_26514]) ).
cnf(c_26831,plain,
( multiply(sk_c2,sP4_iProver_def) = sP13_iProver_def
| identity = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_26535,c_448]) ).
cnf(c_26851,plain,
( multiply(sP13_iProver_def,sk_c7) = sP13_iProver_def
| identity = sP9_iProver_def ),
inference(light_normalisation,[status(thm)],[c_26831,c_13800]) ).
cnf(c_27400,plain,
( sk_c8 = sP8_iProver_def
| sk_c6 = sP6_iProver_def
| sP6_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_461,c_467]) ).
cnf(c_27865,plain,
( sk_c6 = sP6_iProver_def
| sk_c8 = sP8_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_27400,c_861,c_983,c_993,c_8033,c_15516,c_17470,c_17551]) ).
cnf(c_27866,plain,
( sk_c8 = sP8_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(renaming,[status(thm)],[c_27865]) ).
cnf(c_31050,plain,
( sP4_iProver_def = sP13_iProver_def
| sP9_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_26536,c_25038]) ).
cnf(c_31112,plain,
inverse(sP7_iProver_def) = sk_c4,
inference(demodulation,[status(thm)],[c_26519,c_20435]) ).
cnf(c_31225,plain,
( sP8_iProver_def = sP14_iProver_def
| sP9_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_26538,c_25733]) ).
cnf(c_31923,plain,
multiply(sk_c1,sP14_iProver_def) = identity,
inference(superposition,[status(thm)],[c_18242,c_87]) ).
cnf(c_31928,plain,
multiply(sk_c1,identity) = inverse(sP14_iProver_def),
inference(superposition,[status(thm)],[c_18242,c_20435]) ).
cnf(c_31954,plain,
( sk_c8 = sP7_iProver_def
| identity = sP15_iProver_def ),
inference(demodulation,[status(thm)],[c_1088,c_31923]) ).
cnf(c_32017,plain,
inverse(sP14_iProver_def) = sk_c1,
inference(demodulation,[status(thm)],[c_31928,c_20435]) ).
cnf(c_32019,plain,
( inverse(sP8_iProver_def) = sk_c1
| sP9_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_31225,c_32017]) ).
cnf(c_34155,plain,
( multiply(sk_c8,multiply(sk_c2,sk_c8)) != sk_c7
| inverse(inverse(sP8_iProver_def)) != sk_c8
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_18243,c_452]) ).
cnf(c_34156,plain,
( multiply(sk_c2,sk_c8) != sk_c6
| inverse(inverse(sP8_iProver_def)) != sk_c8
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_18243,c_455]) ).
cnf(c_34158,plain,
multiply(sk_c2,sP8_iProver_def) = identity,
inference(superposition,[status(thm)],[c_18243,c_87]) ).
cnf(c_34162,plain,
multiply(sk_c2,multiply(sP8_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_18243,c_18085]) ).
cnf(c_34163,plain,
multiply(sk_c2,identity) = inverse(sP8_iProver_def),
inference(superposition,[status(thm)],[c_18243,c_20435]) ).
cnf(c_34171,plain,
( inverse(inverse(sP8_iProver_def)) != sk_c8
| sk_c6 != sP13_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_34156,c_448]) ).
cnf(c_34175,plain,
( multiply(sk_c8,sP13_iProver_def) != sk_c7
| inverse(inverse(sP8_iProver_def)) != sk_c8
| ~ sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_34155,c_448]) ).
cnf(c_34182,plain,
( sk_c8 = sP7_iProver_def
| identity = sP13_iProver_def ),
inference(demodulation,[status(thm)],[c_963,c_34158]) ).
cnf(c_34260,plain,
( multiply(sP5_iProver_def,sP5_iProver_def) = multiply(sP6_iProver_def,sP4_iProver_def)
| sk_c8 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_486,c_12614]) ).
cnf(c_34268,plain,
( multiply(sP5_iProver_def,sP5_iProver_def) = multiply(sP6_iProver_def,sP13_iProver_def)
| sk_c8 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_462,c_12614]) ).
cnf(c_35695,plain,
inverse(sP8_iProver_def) = sk_c2,
inference(demodulation,[status(thm)],[c_34163,c_20435]) ).
cnf(c_36073,plain,
( multiply(sk_c2,sP4_iProver_def) = sk_c7
| sk_c8 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_778,c_34162]) ).
cnf(c_36077,plain,
( multiply(sk_c2,sP5_iProver_def) = sk_c6
| sk_c8 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_790,c_34162]) ).
cnf(c_36083,plain,
( multiply(sk_c2,sP4_iProver_def) = sP5_iProver_def
| sk_c8 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_3800,c_34162]) ).
cnf(c_36084,plain,
( multiply(sk_c2,sP4_iProver_def) = sP15_iProver_def
| sk_c8 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_3794,c_34162]) ).
cnf(c_36086,plain,
( multiply(sk_c2,sP5_iProver_def) = sP4_iProver_def
| sk_c8 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_4019,c_34162]) ).
cnf(c_36093,plain,
( multiply(sP13_iProver_def,sk_c6) = sP4_iProver_def
| sk_c8 = sP7_iProver_def ),
inference(light_normalisation,[status(thm)],[c_36086,c_13802]) ).
cnf(c_36096,plain,
( multiply(sP13_iProver_def,sk_c7) = sP15_iProver_def
| sk_c8 = sP7_iProver_def ),
inference(light_normalisation,[status(thm)],[c_36084,c_13800]) ).
cnf(c_36099,plain,
( multiply(sP13_iProver_def,sk_c7) = sP5_iProver_def
| sk_c8 = sP7_iProver_def ),
inference(light_normalisation,[status(thm)],[c_36083,c_13800]) ).
cnf(c_36114,plain,
( multiply(sP13_iProver_def,sk_c6) = sk_c6
| sk_c8 = sP7_iProver_def ),
inference(light_normalisation,[status(thm)],[c_36077,c_13802]) ).
cnf(c_36126,plain,
( multiply(sP13_iProver_def,sk_c7) = sk_c7
| sk_c8 = sP7_iProver_def ),
inference(light_normalisation,[status(thm)],[c_36073,c_13800]) ).
cnf(c_37734,plain,
( sP7_iProver_def = sP12_iProver_def
| sP8_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_20070,c_1096]) ).
cnf(c_37916,plain,
( multiply(sP13_iProver_def,sk_c7) = sP13_iProver_def
| sP7_iProver_def = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_8589,c_13800]) ).
cnf(c_39030,plain,
( inverse(sP8_iProver_def) = sk_c1
| sP7_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_37734,c_32017]) ).
cnf(c_39069,plain,
( sk_c1 = sk_c2
| sP7_iProver_def = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_39030,c_35695]) ).
cnf(c_39425,plain,
( multiply(sk_c3,sP11_iProver_def) = sP12_iProver_def
| identity = sP12_iProver_def
| sP5_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_26314,c_447]) ).
cnf(c_39440,plain,
( identity = sP12_iProver_def
| sP5_iProver_def = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_39425,c_25019]) ).
cnf(c_40233,plain,
( sP5_iProver_def = sP15_iProver_def
| sP9_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_39440,c_26537]) ).
cnf(c_41773,plain,
( multiply(sk_c1,sk_c8) = sP13_iProver_def
| sP7_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_39069,c_448]) ).
cnf(c_41776,plain,
( sP7_iProver_def = sP12_iProver_def
| sP13_iProver_def = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_41773,c_450]) ).
cnf(c_41933,plain,
( sP5_iProver_def = sP13_iProver_def
| sP7_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_41776,c_3202]) ).
cnf(c_42653,plain,
( multiply(inverse(sP6_iProver_def),multiply(sP5_iProver_def,sP5_iProver_def)) = sP4_iProver_def
| sk_c8 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_34260,c_18085]) ).
cnf(c_42670,plain,
( multiply(inverse(sP6_iProver_def),multiply(sP5_iProver_def,sP5_iProver_def)) = sP13_iProver_def
| sk_c8 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_34268,c_18085]) ).
cnf(c_44059,plain,
( sP4_iProver_def = sP5_iProver_def
| sP7_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_41933,c_3531]) ).
cnf(c_44572,plain,
( sk_c8 != sk_c7
| sk_c7 != identity
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2023,c_20462]) ).
cnf(c_44594,plain,
( sk_c8 != sP11_iProver_def
| sk_c7 != identity
| ~ sP2_iProver_def
| sP4_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_1822,c_44572]) ).
cnf(c_44821,plain,
( sk_c8 != sk_c7
| sk_c8 != identity
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2153,c_20462]) ).
cnf(c_45139,plain,
( inverse(sk_c7) != sk_c8
| ~ sP0_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_2221,c_2234,c_2221,c_2289,c_13245,c_15516,c_17470,c_19845,c_27866]) ).
cnf(c_45166,plain,
( inverse(sP15_iProver_def) != sk_c8
| ~ sP0_iProver_def
| sk_c8 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_480,c_45139]) ).
cnf(c_46225,plain,
( ~ sP0_iProver_def
| sk_c8 = sP7_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_45166,c_1651,c_2234,c_2289,c_4582,c_13245,c_16417,c_19845]) ).
cnf(c_46253,plain,
( sk_c8 != sk_c6
| sk_c8 != identity
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2225,c_20462]) ).
cnf(c_46590,plain,
( sk_c8 = sP5_iProver_def
| identity = sP9_iProver_def ),
inference(light_normalisation,[status(thm)],[c_11465,c_26514]) ).
cnf(c_46645,plain,
( identity = sP9_iProver_def
| sP4_iProver_def = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_46590,c_26535]) ).
cnf(c_47662,plain,
( sk_c1 = sk_c2
| sP9_iProver_def = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_32019,c_35695]) ).
cnf(c_47687,plain,
( multiply(sk_c1,sk_c8) = sP13_iProver_def
| sP9_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_47662,c_448]) ).
cnf(c_47690,plain,
( sP9_iProver_def = sP12_iProver_def
| sP13_iProver_def = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_47687,c_450]) ).
cnf(c_50087,plain,
( multiply(sP4_iProver_def,sP14_iProver_def) = multiply(sP8_iProver_def,sP6_iProver_def)
| sk_c8 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_1092,c_3803]) ).
cnf(c_50160,plain,
( sP5_iProver_def = sP13_iProver_def
| sP9_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_47690,c_40233]) ).
cnf(c_50605,plain,
( sP4_iProver_def = sP5_iProver_def
| sP9_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_50160,c_31050]) ).
cnf(c_50667,plain,
( sP4_iProver_def = sP5_iProver_def
| sP7_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_50605,c_44059]) ).
cnf(c_52251,plain,
( sP4_iProver_def = sP5_iProver_def
| sP4_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_15858,c_15553]) ).
cnf(c_52483,plain,
( identity = sP13_iProver_def
| sP4_iProver_def = sP5_iProver_def ),
inference(light_normalisation,[status(thm)],[c_17022,c_34158]) ).
cnf(c_52505,plain,
( sP4_iProver_def = sP5_iProver_def
| sP9_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_52483,c_46645]) ).
cnf(c_52608,plain,
( sP4_iProver_def = sP5_iProver_def
| sP4_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_52505,c_52251]) ).
cnf(c_52726,plain,
( sP4_iProver_def = sP5_iProver_def
| sP4_iProver_def = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_50667,c_52608]) ).
cnf(c_52849,plain,
( multiply(sk_c4,sP4_iProver_def) = identity
| sP4_iProver_def = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_52726,c_26514]) ).
cnf(c_52884,plain,
( multiply(sP9_iProver_def,sk_c7) = identity
| sP4_iProver_def = sP5_iProver_def ),
inference(light_normalisation,[status(thm)],[c_52849,c_12941]) ).
cnf(c_53902,plain,
( multiply(sk_c8,sk_c8) != sk_c7
| inverse(sP12_iProver_def) != sk_c8
| ~ sP3_iProver_def
| sP4_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_25227,c_452]) ).
cnf(c_53909,plain,
( sk_c7 = sP4_iProver_def
| sP4_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_25227,c_3547]) ).
cnf(c_54043,plain,
( inverse(sP4_iProver_def) != sk_c8
| ~ sP0_iProver_def
| sP4_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_53909,c_45139]) ).
cnf(c_56149,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_54043,c_53902,c_52884,c_50087,c_46253,c_46225,c_44821,c_44594,c_42670,c_42653,c_37916,c_36126,c_36114,c_36099,c_36096,c_36093,c_35695,c_34182,c_34175,c_34171,c_34163,c_34158,c_32017,c_31954,c_31112,c_26851,c_26519,c_26514,c_26396,c_25025,c_25016,c_25024,c_25019,c_20462,c_19348,c_18304,c_18302,c_18296,c_18229,c_18228,c_18227,c_18222,c_18126,c_18125,c_18124,c_18123,c_18096,c_18093,c_18090,c_16651,c_16417,c_13813,c_13802,c_13800,c_13644,c_13258,c_13197,c_13194,c_12955,c_12943,c_12942,c_12898,c_12753,c_12696,c_12695,c_12688,c_12393,c_12046,c_12044,c_11844,c_11384,c_8991,c_6663,c_6218,c_4582,c_4541,c_4184,c_4179,c_4166,c_4161,c_2428,c_2238,c_2170,c_2166,c_2154,c_2021,c_1719,c_978,c_935,c_791,c_491,c_485,c_484,c_479,c_478,c_473,c_472,c_471,c_467,c_466,c_461,c_460,c_459,c_458,c_457,c_456,c_451,c_448,c_447,c_446,c_445,c_444,c_443,c_442,c_441,c_440,c_439]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP293-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.12 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n017.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu May 2 23:30:51 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.18/0.46 Running first-order theorem proving
% 0.18/0.46 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
% 12.31/2.67 % SZS status Started for theBenchmark.p
% 12.31/2.67 % SZS status Unsatisfiable for theBenchmark.p
% 12.31/2.67
% 12.31/2.67 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 12.31/2.67
% 12.31/2.67 ------ iProver source info
% 12.31/2.67
% 12.31/2.67 git: date: 2024-05-02 19:28:25 +0000
% 12.31/2.67 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 12.31/2.67 git: non_committed_changes: false
% 12.31/2.67
% 12.31/2.67 ------ Parsing...successful
% 12.31/2.67
% 12.31/2.67
% 12.31/2.67
% 12.31/2.67 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 12.31/2.67
% 12.31/2.67 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 12.31/2.67
% 12.31/2.67 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 12.31/2.67 ------ Proving...
% 12.31/2.67 ------ Problem Properties
% 12.31/2.67
% 12.31/2.67
% 12.31/2.67 clauses 56
% 12.31/2.67 conjectures 41
% 12.31/2.67 EPR 37
% 12.31/2.67 Horn 19
% 12.31/2.67 unary 15
% 12.31/2.67 binary 36
% 12.31/2.67 lits 106
% 12.31/2.67 lits eq 98
% 12.31/2.67 fd_pure 0
% 12.31/2.67 fd_pseudo 0
% 12.31/2.67 fd_cond 0
% 12.31/2.67 fd_pseudo_cond 0
% 12.31/2.67 AC symbols 0
% 12.31/2.67
% 12.31/2.67 ------ Schedule dynamic 5 is on
% 12.31/2.67
% 12.31/2.67 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 12.31/2.67
% 12.31/2.67
% 12.31/2.67 ------
% 12.31/2.67 Current options:
% 12.31/2.67 ------
% 12.31/2.67
% 12.31/2.67
% 12.31/2.67
% 12.31/2.67
% 12.31/2.67 ------ Proving...
% 12.31/2.67
% 12.31/2.67
% 12.31/2.67 % SZS status Unsatisfiable for theBenchmark.p
% 12.31/2.67
% 12.31/2.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 12.31/2.67
% 12.31/2.68
%------------------------------------------------------------------------------