TSTP Solution File: GRP319-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP319-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:22:10 EDT 2024
% Result : Unsatisfiable 9.57s 2.18s
% Output : CNFRefutation 9.57s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| multiply(sk_c4,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( inverse(sk_c4) = sk_c9
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( inverse(sk_c6) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c4,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c8
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_75,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
cnf(c_76,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
cnf(c_77,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
cnf(c_78,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c7
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
cnf(c_79,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c8
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_80,negated_conjecture,
( inverse(sk_c4) = sk_c9
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
cnf(c_81,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
cnf(c_82,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
cnf(c_83,negated_conjecture,
( inverse(sk_c6) = sk_c7
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
cnf(c_84,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c7
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
cnf(c_85,negated_conjecture,
( multiply(X0,sk_c8) != sk_c9
| multiply(X1,sk_c9) != X2
| multiply(X3,sk_c9) != sk_c8
| multiply(X4,sk_c8) != sk_c7
| multiply(X5,sk_c9) != sk_c7
| multiply(sk_c9,X2) != sk_c8
| multiply(sk_c8,sk_c9) != sk_c7
| inverse(X0) != sk_c8
| inverse(X1) != sk_c9
| inverse(X3) != sk_c9
| inverse(X4) != sk_c8
| inverse(X5) != sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
cnf(c_86,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_87,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_88,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_89,negated_conjecture,
( multiply(sk_c9,multiply(X0,sk_c9)) != sk_c8
| multiply(X1,sk_c8) != sk_c9
| multiply(X2,sk_c9) != sk_c8
| multiply(X3,sk_c8) != sk_c7
| multiply(X4,sk_c9) != sk_c7
| multiply(sk_c8,sk_c9) != sk_c7
| inverse(X0) != sk_c9
| inverse(X1) != sk_c8
| inverse(X2) != sk_c9
| inverse(X3) != sk_c8
| inverse(X4) != sk_c7 ),
inference(unflattening,[status(thm)],[c_85]) ).
cnf(c_434,negated_conjecture,
( multiply(X0,sk_c9) != sk_c8
| inverse(X0) != sk_c9
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_89]) ).
cnf(c_435,negated_conjecture,
( multiply(X0,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_89]) ).
cnf(c_436,negated_conjecture,
( multiply(X0,sk_c8) != sk_c9
| inverse(X0) != sk_c8
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_89]) ).
cnf(c_437,negated_conjecture,
( multiply(X0,sk_c9) != sk_c7
| inverse(X0) != sk_c7
| ~ sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_89]) ).
cnf(c_438,negated_conjecture,
( multiply(sk_c9,multiply(X0,sk_c9)) != sk_c8
| inverse(X0) != sk_c9
| ~ sP4_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_def])],[c_89]) ).
cnf(c_439,negated_conjecture,
( multiply(sk_c8,sk_c9) != sk_c7
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_89]) ).
cnf(c_440,plain,
multiply(sk_c8,sk_c9) = sP5_iProver_def,
definition ).
cnf(c_441,plain,
multiply(sk_c6,sk_c9) = sP6_iProver_def,
definition ).
cnf(c_442,plain,
inverse(sk_c2) = sP7_iProver_def,
definition ).
cnf(c_443,plain,
inverse(sk_c6) = sP8_iProver_def,
definition ).
cnf(c_444,plain,
inverse(sk_c5) = sP9_iProver_def,
definition ).
cnf(c_445,plain,
multiply(sk_c5,sk_c8) = sP10_iProver_def,
definition ).
cnf(c_446,plain,
inverse(sk_c4) = sP11_iProver_def,
definition ).
cnf(c_447,plain,
multiply(sk_c4,sk_c9) = sP12_iProver_def,
definition ).
cnf(c_448,plain,
multiply(sk_c2,sk_c9) = sP13_iProver_def,
definition ).
cnf(c_449,plain,
multiply(sk_c9,sk_c3) = sP14_iProver_def,
definition ).
cnf(c_450,plain,
inverse(sk_c1) = sP15_iProver_def,
definition ).
cnf(c_451,plain,
multiply(sk_c1,sk_c8) = sP16_iProver_def,
definition ).
cnf(c_452,negated_conjecture,
( sP5_iProver_def != sk_c7
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(demodulation,[status(thm)],[c_439,c_440]) ).
cnf(c_453,negated_conjecture,
( multiply(sk_c9,multiply(X0,sk_c9)) != sk_c8
| inverse(X0) != sk_c9
| ~ sP4_iProver_def ),
inference(demodulation,[status(thm)],[c_438]) ).
cnf(c_454,negated_conjecture,
( multiply(X0,sk_c9) != sk_c7
| inverse(X0) != sk_c7
| ~ sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_437]) ).
cnf(c_455,negated_conjecture,
( multiply(X0,sk_c8) != sk_c9
| inverse(X0) != sk_c8
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_436]) ).
cnf(c_456,negated_conjecture,
( multiply(X0,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_435]) ).
cnf(c_457,negated_conjecture,
( multiply(X0,sk_c9) != sk_c8
| inverse(X0) != sk_c9
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_434]) ).
cnf(c_458,negated_conjecture,
( sP6_iProver_def = sk_c7
| sP7_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_84,c_442,c_441]) ).
cnf(c_459,negated_conjecture,
( sP7_iProver_def = sk_c9
| sP8_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_83,c_443]) ).
cnf(c_460,negated_conjecture,
( sP7_iProver_def = sk_c9
| sP9_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_82,c_444]) ).
cnf(c_461,negated_conjecture,
( sP7_iProver_def = sk_c9
| sP10_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_81,c_445]) ).
cnf(c_462,negated_conjecture,
( sP7_iProver_def = sk_c9
| sP11_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_80,c_446]) ).
cnf(c_463,negated_conjecture,
( sP7_iProver_def = sk_c9
| sP12_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_79,c_447]) ).
cnf(c_464,negated_conjecture,
( sP6_iProver_def = sk_c7
| sP13_iProver_def = sk_c3 ),
inference(demodulation,[status(thm)],[c_78,c_448]) ).
cnf(c_465,negated_conjecture,
( sP8_iProver_def = sk_c7
| sP13_iProver_def = sk_c3 ),
inference(demodulation,[status(thm)],[c_77]) ).
cnf(c_466,negated_conjecture,
( sP9_iProver_def = sk_c8
| sP13_iProver_def = sk_c3 ),
inference(demodulation,[status(thm)],[c_76]) ).
cnf(c_467,negated_conjecture,
( sP10_iProver_def = sk_c7
| sP13_iProver_def = sk_c3 ),
inference(demodulation,[status(thm)],[c_75]) ).
cnf(c_468,negated_conjecture,
( sP11_iProver_def = sk_c9
| sP13_iProver_def = sk_c3 ),
inference(demodulation,[status(thm)],[c_74]) ).
cnf(c_469,negated_conjecture,
( sP12_iProver_def = sk_c8
| sP13_iProver_def = sk_c3 ),
inference(demodulation,[status(thm)],[c_73]) ).
cnf(c_470,negated_conjecture,
( sP6_iProver_def = sk_c7
| sP14_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_72,c_449]) ).
cnf(c_471,negated_conjecture,
( sP8_iProver_def = sk_c7
| sP14_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_71]) ).
cnf(c_472,negated_conjecture,
( sP9_iProver_def = sk_c8
| sP14_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_70]) ).
cnf(c_474,negated_conjecture,
( sP11_iProver_def = sk_c9
| sP14_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_68]) ).
cnf(c_475,negated_conjecture,
( sP12_iProver_def = sk_c8
| sP14_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_67]) ).
cnf(c_476,negated_conjecture,
( sP6_iProver_def = sk_c7
| sP15_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_66,c_450]) ).
cnf(c_477,negated_conjecture,
( sP8_iProver_def = sk_c7
| sP15_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_65]) ).
cnf(c_478,negated_conjecture,
( sP9_iProver_def = sk_c8
| sP15_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_64]) ).
cnf(c_479,negated_conjecture,
( sP10_iProver_def = sk_c7
| sP15_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_63]) ).
cnf(c_480,negated_conjecture,
( sP11_iProver_def = sk_c9
| sP15_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_62]) ).
cnf(c_481,negated_conjecture,
( sP12_iProver_def = sk_c8
| sP15_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_61]) ).
cnf(c_482,negated_conjecture,
( sP6_iProver_def = sk_c7
| sP16_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_60,c_451]) ).
cnf(c_483,negated_conjecture,
( sP8_iProver_def = sk_c7
| sP16_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_59]) ).
cnf(c_484,negated_conjecture,
( sP9_iProver_def = sk_c8
| sP16_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_58]) ).
cnf(c_485,negated_conjecture,
( sP10_iProver_def = sk_c7
| sP16_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_57]) ).
cnf(c_486,negated_conjecture,
( sP11_iProver_def = sk_c9
| sP16_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_487,negated_conjecture,
( sP12_iProver_def = sk_c8
| sP16_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_488,negated_conjecture,
( sP5_iProver_def = sk_c7
| sP6_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_489,negated_conjecture,
( sP5_iProver_def = sk_c7
| sP8_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_53]) ).
cnf(c_490,negated_conjecture,
( sP5_iProver_def = sk_c7
| sP9_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_491,negated_conjecture,
( sP5_iProver_def = sk_c7
| sP10_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_492,negated_conjecture,
( sP5_iProver_def = sk_c7
| sP11_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_493,negated_conjecture,
( sP5_iProver_def = sk_c7
| sP12_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_494,plain,
X0 = X0,
theory(equality) ).
cnf(c_495,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_500,plain,
sk_c9 = sk_c9,
inference(instantiation,[status(thm)],[c_494]) ).
cnf(c_746,plain,
( sk_c9 = sP7_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_458,c_459]) ).
cnf(c_760,plain,
( sk_c9 = sP7_iProver_def
| sP8_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_461,c_459]) ).
cnf(c_774,plain,
( sk_c9 = sP7_iProver_def
| sP9_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_460,c_463]) ).
cnf(c_799,plain,
( multiply(sk_c5,sP9_iProver_def) = sP10_iProver_def
| sk_c9 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_460,c_445]) ).
cnf(c_835,plain,
( sk_c8 = sP14_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_471,c_470]) ).
cnf(c_883,plain,
( multiply(sk_c9,sP13_iProver_def) = sP14_iProver_def
| sk_c8 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_469,c_449]) ).
cnf(c_884,plain,
( multiply(sk_c9,sP13_iProver_def) = sP14_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_468,c_449]) ).
cnf(c_885,plain,
( multiply(sk_c9,sP13_iProver_def) = sP14_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_467,c_449]) ).
cnf(c_886,plain,
( multiply(sk_c9,sP13_iProver_def) = sP14_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_466,c_449]) ).
cnf(c_887,plain,
( multiply(sk_c9,sP13_iProver_def) = sP14_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_465,c_449]) ).
cnf(c_888,plain,
( multiply(sk_c9,sP13_iProver_def) = sP14_iProver_def
| sk_c7 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_464,c_449]) ).
cnf(c_912,plain,
multiply(sP11_iProver_def,sk_c4) = identity,
inference(superposition,[status(thm)],[c_446,c_87]) ).
cnf(c_913,plain,
multiply(sP9_iProver_def,sk_c5) = identity,
inference(superposition,[status(thm)],[c_444,c_87]) ).
cnf(c_914,plain,
multiply(sP8_iProver_def,sk_c6) = identity,
inference(superposition,[status(thm)],[c_443,c_87]) ).
cnf(c_915,plain,
multiply(sP15_iProver_def,sk_c1) = identity,
inference(superposition,[status(thm)],[c_450,c_87]) ).
cnf(c_916,plain,
multiply(sP7_iProver_def,sk_c2) = identity,
inference(superposition,[status(thm)],[c_442,c_87]) ).
cnf(c_924,plain,
( multiply(sk_c5,sP14_iProver_def) = sP10_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_474,c_445]) ).
cnf(c_946,plain,
( multiply(sk_c1,sP14_iProver_def) = sP16_iProver_def
| sk_c8 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_475,c_451]) ).
cnf(c_990,plain,
( sk_c8 = sP15_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_477,c_476]) ).
cnf(c_1011,plain,
( multiply(sk_c1,sP15_iProver_def) = sP16_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_478,c_451]) ).
cnf(c_1012,plain,
( sk_c8 = sP9_iProver_def
| sP14_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_478,c_472]) ).
cnf(c_1037,plain,
( sk_c7 != X0
| sP5_iProver_def != X0
| sP5_iProver_def = sk_c7 ),
inference(instantiation,[status(thm)],[c_495]) ).
cnf(c_1040,plain,
( X0 != X1
| sk_c7 != X1
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_495]) ).
cnf(c_1041,plain,
( X0 != sk_c7
| sk_c7 != sk_c7
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_1040]) ).
cnf(c_1042,plain,
sk_c7 = sk_c7,
inference(instantiation,[status(thm)],[c_494]) ).
cnf(c_1052,plain,
( sk_c7 != sk_c7
| sP6_iProver_def != sk_c7
| sk_c7 = sP6_iProver_def ),
inference(instantiation,[status(thm)],[c_1041]) ).
cnf(c_1053,plain,
( sk_c7 != sk_c7
| sP8_iProver_def != sk_c7
| sk_c7 = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_1041]) ).
cnf(c_1066,plain,
( sk_c8 = sP15_iProver_def
| sP8_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_479,c_477]) ).
cnf(c_1067,plain,
( sk_c8 = sP15_iProver_def
| sP6_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_479,c_476]) ).
cnf(c_1087,plain,
( multiply(sk_c1,sP15_iProver_def) = sP16_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_480,c_451]) ).
cnf(c_1090,plain,
( multiply(sP15_iProver_def,sk_c9) = sP5_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_480,c_440]) ).
cnf(c_1108,plain,
( sk_c7 != sk_c7
| sP5_iProver_def != sk_c7
| sk_c7 = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_1041]) ).
cnf(c_1120,plain,
( multiply(sk_c1,sP15_iProver_def) = sP16_iProver_def
| sk_c8 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_481,c_451]) ).
cnf(c_1122,plain,
( multiply(sk_c5,sP15_iProver_def) = sP10_iProver_def
| sk_c8 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_481,c_445]) ).
cnf(c_1188,plain,
( sk_c7 != sP5_iProver_def
| sP5_iProver_def != sP5_iProver_def
| sP5_iProver_def = sk_c7 ),
inference(instantiation,[status(thm)],[c_1037]) ).
cnf(c_1204,plain,
( sk_c9 = sP16_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_483,c_482]) ).
cnf(c_1251,plain,
( multiply(sk_c5,sP9_iProver_def) = sP10_iProver_def
| sk_c9 = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_484,c_445]) ).
cnf(c_1304,plain,
( sk_c9 = sP16_iProver_def
| sP8_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_485,c_483]) ).
cnf(c_1305,plain,
( sk_c9 = sP16_iProver_def
| sP6_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_485,c_482]) ).
cnf(c_1321,plain,
( multiply(sP16_iProver_def,sk_c3) = sP14_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_486,c_449]) ).
cnf(c_1322,plain,
( multiply(sk_c2,sP16_iProver_def) = sP13_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_486,c_448]) ).
cnf(c_1352,plain,
( sk_c7 != sP6_iProver_def
| sP5_iProver_def != sP6_iProver_def
| sP5_iProver_def = sk_c7 ),
inference(instantiation,[status(thm)],[c_1037]) ).
cnf(c_1369,plain,
( sk_c9 = sP16_iProver_def
| sP9_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_487,c_484]) ).
cnf(c_1487,plain,
( sk_c7 = sP5_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_489,c_488]) ).
cnf(c_1528,plain,
( sk_c8 = sP9_iProver_def
| sk_c7 = sP5_iProver_def
| sP5_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_490,c_489]) ).
cnf(c_1529,plain,
( sk_c8 = sP9_iProver_def
| sk_c7 = sP5_iProver_def
| sP5_iProver_def = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_490,c_488]) ).
cnf(c_1621,plain,
( sk_c7 = sP5_iProver_def
| sP8_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_491,c_489]) ).
cnf(c_1622,plain,
( sk_c7 = sP5_iProver_def
| sP6_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_491,c_488]) ).
cnf(c_1667,plain,
( sk_c9 = sP11_iProver_def
| sk_c7 = sP5_iProver_def
| sP5_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_492,c_491]) ).
cnf(c_1765,plain,
( sk_c8 = sP12_iProver_def
| sk_c7 = sP5_iProver_def
| sP5_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_493,c_491]) ).
cnf(c_1767,plain,
( sk_c8 = sP12_iProver_def
| sk_c7 = sP5_iProver_def
| sP5_iProver_def = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_493,c_488]) ).
cnf(c_1851,plain,
( sk_c8 = sP12_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(superposition,[status(thm)],[c_493,c_452]) ).
cnf(c_1852,plain,
( sk_c9 = sP11_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(superposition,[status(thm)],[c_492,c_452]) ).
cnf(c_1853,plain,
( sP5_iProver_def != sP10_iProver_def
| sk_c7 = sP5_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(superposition,[status(thm)],[c_491,c_452]) ).
cnf(c_1854,plain,
( sk_c8 = sP9_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(superposition,[status(thm)],[c_490,c_452]) ).
cnf(c_1856,plain,
( sP5_iProver_def != sP6_iProver_def
| sk_c7 = sP5_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(superposition,[status(thm)],[c_488,c_452]) ).
cnf(c_2055,plain,
( inverse(sk_c8) != sk_c7
| sk_c7 != sP5_iProver_def
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_440,c_454]) ).
cnf(c_2057,plain,
( inverse(sk_c6) != sk_c7
| sk_c7 != sP6_iProver_def
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_441,c_454]) ).
cnf(c_2059,plain,
( inverse(identity) != sk_c7
| sk_c9 != sk_c7
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_86,c_454]) ).
cnf(c_2060,plain,
( inverse(inverse(sk_c9)) != sk_c7
| sk_c7 != identity
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_87,c_454]) ).
cnf(c_2070,plain,
( sk_c7 != sP6_iProver_def
| sk_c7 != sP8_iProver_def
| ~ sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2057,c_443]) ).
cnf(c_2157,plain,
( inverse(sk_c1) != sk_c8
| sk_c9 != sP16_iProver_def
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_451,c_455]) ).
cnf(c_2159,plain,
( inverse(inverse(sk_c8)) != sk_c8
| sk_c9 != identity
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_87,c_455]) ).
cnf(c_2173,plain,
( sk_c8 != sP15_iProver_def
| sk_c9 != sP16_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2157,c_450]) ).
cnf(c_2240,plain,
( inverse(sk_c5) != sk_c8
| sk_c7 != sP10_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_445,c_456]) ).
cnf(c_2242,plain,
( inverse(identity) != sk_c8
| sk_c8 != sk_c7
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_86,c_456]) ).
cnf(c_2243,plain,
( inverse(inverse(sk_c8)) != sk_c8
| sk_c7 != identity
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_87,c_456]) ).
cnf(c_2261,plain,
( sk_c8 != sP9_iProver_def
| sk_c7 != sP10_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2240,c_444]) ).
cnf(c_2392,plain,
( multiply(sk_c2,sP7_iProver_def) = sP13_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_746,c_448]) ).
cnf(c_2432,plain,
multiply(sk_c5,multiply(sk_c8,X0)) = multiply(sP10_iProver_def,X0),
inference(superposition,[status(thm)],[c_445,c_88]) ).
cnf(c_2434,plain,
multiply(sk_c1,multiply(sk_c8,X0)) = multiply(sP16_iProver_def,X0),
inference(superposition,[status(thm)],[c_451,c_88]) ).
cnf(c_2436,plain,
multiply(sk_c2,multiply(sk_c9,X0)) = multiply(sP13_iProver_def,X0),
inference(superposition,[status(thm)],[c_448,c_88]) ).
cnf(c_2438,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_87,c_88]) ).
cnf(c_2440,plain,
multiply(sP11_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_912,c_88]) ).
cnf(c_2441,plain,
multiply(sP9_iProver_def,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_913,c_88]) ).
cnf(c_2442,plain,
multiply(sP8_iProver_def,multiply(sk_c6,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_914,c_88]) ).
cnf(c_2443,plain,
multiply(sP15_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_915,c_88]) ).
cnf(c_2444,plain,
multiply(sP7_iProver_def,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_916,c_88]) ).
cnf(c_2449,plain,
multiply(sP7_iProver_def,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2444,c_86]) ).
cnf(c_2450,plain,
multiply(sP15_iProver_def,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2443,c_86]) ).
cnf(c_2451,plain,
multiply(sP8_iProver_def,multiply(sk_c6,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2442,c_86]) ).
cnf(c_2452,plain,
multiply(sP9_iProver_def,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2441,c_86]) ).
cnf(c_2453,plain,
multiply(sP11_iProver_def,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2440,c_86]) ).
cnf(c_2528,plain,
( multiply(sk_c2,sP7_iProver_def) = sP13_iProver_def
| sP8_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_760,c_448]) ).
cnf(c_2622,plain,
( multiply(sk_c2,sP7_iProver_def) = sP13_iProver_def
| sP9_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_774,c_448]) ).
cnf(c_2883,plain,
( multiply(sk_c1,sP15_iProver_def) = sP16_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_990,c_451]) ).
cnf(c_2886,plain,
( multiply(sP15_iProver_def,sk_c9) = sP5_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_990,c_440]) ).
cnf(c_2925,plain,
( inverse(sk_c4) != sk_c9
| sk_c8 != sP12_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_447,c_457]) ).
cnf(c_2929,plain,
( inverse(inverse(sk_c9)) != sk_c9
| sk_c8 != identity
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_87,c_457]) ).
cnf(c_2948,plain,
( sk_c8 != sP12_iProver_def
| sk_c9 != sP11_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2925,c_446]) ).
cnf(c_3044,plain,
( multiply(sk_c9,sk_c9) != sk_c8
| inverse(identity) != sk_c9
| ~ sP4_iProver_def ),
inference(superposition,[status(thm)],[c_86,c_453]) ).
cnf(c_3045,plain,
( multiply(sk_c9,identity) != sk_c8
| inverse(inverse(sk_c9)) != sk_c9
| ~ sP4_iProver_def ),
inference(superposition,[status(thm)],[c_87,c_453]) ).
cnf(c_3171,plain,
( multiply(sk_c5,sP9_iProver_def) = sP10_iProver_def
| sP14_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_1012,c_445]) ).
cnf(c_3278,plain,
( multiply(sk_c1,sP15_iProver_def) = sP16_iProver_def
| sP8_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_1066,c_451]) ).
cnf(c_3686,plain,
( sP6_iProver_def = sP8_iProver_def
| sP7_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_1204,c_746]) ).
cnf(c_3738,plain,
( X0 != X1
| sP11_iProver_def != X1
| X0 = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_495]) ).
cnf(c_3739,plain,
( sk_c9 != sk_c9
| sP11_iProver_def != sk_c9
| sk_c9 = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_3738]) ).
cnf(c_3838,plain,
( sP7_iProver_def = sP16_iProver_def
| sP8_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_1304,c_760]) ).
cnf(c_4034,plain,
( sP7_iProver_def = sP16_iProver_def
| sP9_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_1369,c_774]) ).
cnf(c_4130,plain,
( sP6_iProver_def = sP8_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(superposition,[status(thm)],[c_1487,c_452]) ).
cnf(c_4232,plain,
( sk_c7 = sP5_iProver_def
| sP5_iProver_def = sP10_iProver_def
| sP8_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_1621,c_491]) ).
cnf(c_4426,plain,
( sP6_iProver_def = sP10_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(superposition,[status(thm)],[c_1622,c_452]) ).
cnf(c_4548,plain,
multiply(sP7_iProver_def,sP13_iProver_def) = sk_c9,
inference(superposition,[status(thm)],[c_448,c_2449]) ).
cnf(c_4589,plain,
( sP1_iProver_def
| sP0_iProver_def
| sP6_iProver_def = sP8_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_4130,c_990,c_1204,c_2173,c_4130]) ).
cnf(c_4590,plain,
( sP6_iProver_def = sP8_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(renaming,[status(thm)],[c_4589]) ).
cnf(c_4613,plain,
( sP1_iProver_def
| sP0_iProver_def
| sP6_iProver_def = sP10_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_4426,c_1067,c_1305,c_2173,c_4426]) ).
cnf(c_4614,plain,
( sP6_iProver_def = sP10_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(renaming,[status(thm)],[c_4613]) ).
cnf(c_4786,plain,
multiply(sP15_iProver_def,sP16_iProver_def) = sk_c8,
inference(superposition,[status(thm)],[c_451,c_2450]) ).
cnf(c_4791,plain,
multiply(sP8_iProver_def,sP6_iProver_def) = sk_c9,
inference(superposition,[status(thm)],[c_441,c_2451]) ).
cnf(c_4808,plain,
multiply(sP9_iProver_def,sP10_iProver_def) = sk_c8,
inference(superposition,[status(thm)],[c_445,c_2452]) ).
cnf(c_4813,plain,
multiply(sP11_iProver_def,sP12_iProver_def) = sk_c9,
inference(superposition,[status(thm)],[c_447,c_2453]) ).
cnf(c_5044,plain,
( multiply(sP16_iProver_def,sP13_iProver_def) = sP14_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_486,c_884]) ).
cnf(c_5331,plain,
sP5_iProver_def = sP5_iProver_def,
inference(instantiation,[status(thm)],[c_494]) ).
cnf(c_5708,plain,
( multiply(sP15_iProver_def,sP16_iProver_def) = sP14_iProver_def
| sk_c8 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_946,c_2450]) ).
cnf(c_5709,plain,
( sk_c8 = sP12_iProver_def
| sk_c8 = sP14_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5708,c_4786]) ).
cnf(c_6063,plain,
( multiply(sP15_iProver_def,sP16_iProver_def) = sP5_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_486,c_1090]) ).
cnf(c_6069,plain,
( sk_c8 = sP5_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6063,c_4786]) ).
cnf(c_6308,plain,
( sk_c9 = sP11_iProver_def
| sP5_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_6069,c_474]) ).
cnf(c_6309,plain,
( multiply(sk_c1,sP5_iProver_def) = sP16_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_6069,c_451]) ).
cnf(c_6311,plain,
( multiply(sk_c5,sP5_iProver_def) = sP10_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_6069,c_445]) ).
cnf(c_8425,plain,
multiply(sk_c5,sP5_iProver_def) = multiply(sP10_iProver_def,sk_c9),
inference(superposition,[status(thm)],[c_440,c_2432]) ).
cnf(c_8498,plain,
multiply(sP9_iProver_def,multiply(sP10_iProver_def,sk_c9)) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_8425,c_2452]) ).
cnf(c_8777,plain,
multiply(sk_c1,sP5_iProver_def) = multiply(sP16_iProver_def,sk_c9),
inference(superposition,[status(thm)],[c_440,c_2434]) ).
cnf(c_8899,plain,
multiply(sP15_iProver_def,multiply(sP16_iProver_def,sk_c9)) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_8777,c_2450]) ).
cnf(c_9022,plain,
multiply(sk_c2,sP14_iProver_def) = multiply(sP13_iProver_def,sk_c3),
inference(superposition,[status(thm)],[c_449,c_2436]) ).
cnf(c_9106,plain,
multiply(sP7_iProver_def,multiply(sP13_iProver_def,sk_c3)) = sP14_iProver_def,
inference(superposition,[status(thm)],[c_9022,c_2449]) ).
cnf(c_9423,plain,
( sk_c7 = sP5_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_1528,c_488,c_1042,c_1052,c_1108,c_1352,c_1529]) ).
cnf(c_9424,plain,
( sk_c8 = sP9_iProver_def
| sk_c7 = sP5_iProver_def ),
inference(renaming,[status(thm)],[c_9423]) ).
cnf(c_9731,plain,
( multiply(sP15_iProver_def,sP16_iProver_def) = sP5_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_1204,c_2886]) ).
cnf(c_9740,plain,
( multiply(sk_c9,sP5_iProver_def) != sk_c8
| inverse(sP15_iProver_def) != sk_c9
| ~ sP4_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_2886,c_453]) ).
cnf(c_9743,plain,
( sk_c8 = sP5_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_9731,c_4786]) ).
cnf(c_9859,plain,
( sP5_iProver_def = sP14_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_9743,c_835]) ).
cnf(c_9869,plain,
( multiply(sk_c1,sP5_iProver_def) = sP16_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_9743,c_451]) ).
cnf(c_9884,plain,
( multiply(sP16_iProver_def,sk_c9) = sP16_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_9869,c_8777]) ).
cnf(c_10148,plain,
( sk_c7 = sP5_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_1667,c_500,c_492,c_1042,c_1108,c_3739]) ).
cnf(c_10149,plain,
( sk_c9 = sP11_iProver_def
| sk_c7 = sP5_iProver_def ),
inference(renaming,[status(thm)],[c_10148]) ).
cnf(c_11154,plain,
( sk_c7 = sP5_iProver_def
| sk_c8 = sP12_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_1765,c_488,c_1042,c_1052,c_1108,c_1352,c_1767]) ).
cnf(c_11155,plain,
( sk_c8 = sP12_iProver_def
| sk_c7 = sP5_iProver_def ),
inference(renaming,[status(thm)],[c_11154]) ).
cnf(c_11346,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2438,c_86]) ).
cnf(c_11352,plain,
multiply(inverse(sk_c8),sP5_iProver_def) = sk_c9,
inference(superposition,[status(thm)],[c_440,c_11346]) ).
cnf(c_11357,plain,
multiply(inverse(sk_c9),sP14_iProver_def) = sk_c3,
inference(superposition,[status(thm)],[c_449,c_11346]) ).
cnf(c_11359,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_86,c_11346]) ).
cnf(c_11360,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_87,c_11346]) ).
cnf(c_11401,plain,
( multiply(inverse(sk_c9),sP14_iProver_def) = sP13_iProver_def
| sk_c8 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_883,c_11346]) ).
cnf(c_11438,plain,
( multiply(inverse(sP16_iProver_def),sP14_iProver_def) = sk_c3
| sk_c9 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_1321,c_11346]) ).
cnf(c_11473,plain,
multiply(inverse(sP11_iProver_def),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_2453,c_11346]) ).
cnf(c_11474,plain,
multiply(inverse(sP9_iProver_def),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_2452,c_11346]) ).
cnf(c_11475,plain,
multiply(inverse(sP8_iProver_def),X0) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_2451,c_11346]) ).
cnf(c_11476,plain,
multiply(inverse(sP15_iProver_def),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_2450,c_11346]) ).
cnf(c_11477,plain,
multiply(inverse(sP7_iProver_def),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_2449,c_11346]) ).
cnf(c_11486,plain,
( multiply(inverse(sP16_iProver_def),sP14_iProver_def) = sP13_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_5044,c_11346]) ).
cnf(c_11493,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_11346,c_11346]) ).
cnf(c_11885,plain,
( multiply(inverse(sk_c9),sP5_iProver_def) = sk_c3
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_9859,c_11357]) ).
cnf(c_11946,plain,
( multiply(sk_c9,sk_c9) != sk_c8
| inverse(inverse(identity)) != sk_c9
| ~ sP4_iProver_def ),
inference(superposition,[status(thm)],[c_11359,c_453]) ).
cnf(c_11976,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_11360,c_11493]) ).
cnf(c_11996,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_11976,c_11359]) ).
cnf(c_12389,plain,
( multiply(sk_c4,sk_c8) != sk_c7
| inverse(inverse(sP11_iProver_def)) != sk_c8
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_11473,c_456]) ).
cnf(c_12390,plain,
( multiply(sk_c4,sk_c8) != sk_c9
| inverse(inverse(sP11_iProver_def)) != sk_c8
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_11473,c_455]) ).
cnf(c_12391,plain,
multiply(sk_c4,sP11_iProver_def) = identity,
inference(superposition,[status(thm)],[c_11473,c_87]) ).
cnf(c_12395,plain,
( multiply(sk_c4,sk_c9) != sk_c8
| inverse(inverse(sP11_iProver_def)) != sk_c9
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_11473,c_457]) ).
cnf(c_12398,plain,
multiply(sk_c4,identity) = inverse(sP11_iProver_def),
inference(superposition,[status(thm)],[c_11473,c_11976]) ).
cnf(c_12403,plain,
( inverse(inverse(sP11_iProver_def)) != sk_c9
| sk_c8 != sP12_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_12395,c_447]) ).
cnf(c_12809,plain,
inverse(sP11_iProver_def) = sk_c4,
inference(demodulation,[status(thm)],[c_12398,c_11976]) ).
cnf(c_12831,plain,
( multiply(sk_c5,sk_c8) != sk_c7
| inverse(inverse(sP9_iProver_def)) != sk_c8
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_11474,c_456]) ).
cnf(c_12833,plain,
multiply(sk_c5,sP9_iProver_def) = identity,
inference(superposition,[status(thm)],[c_11474,c_87]) ).
cnf(c_12838,plain,
( multiply(sk_c5,sk_c9) != sk_c7
| inverse(inverse(sP9_iProver_def)) != sk_c7
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_11474,c_454]) ).
cnf(c_12840,plain,
multiply(sk_c5,identity) = inverse(sP9_iProver_def),
inference(superposition,[status(thm)],[c_11474,c_11976]) ).
cnf(c_12851,plain,
( inverse(inverse(sP9_iProver_def)) != sk_c8
| sk_c7 != sP10_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_12831,c_445]) ).
cnf(c_12858,plain,
( identity = sP10_iProver_def
| sP14_iProver_def = sP15_iProver_def ),
inference(demodulation,[status(thm)],[c_3171,c_12833]) ).
cnf(c_12859,plain,
( sk_c9 = sP16_iProver_def
| identity = sP10_iProver_def ),
inference(demodulation,[status(thm)],[c_1251,c_12833]) ).
cnf(c_12860,plain,
( sk_c9 = sP7_iProver_def
| identity = sP10_iProver_def ),
inference(demodulation,[status(thm)],[c_799,c_12833]) ).
cnf(c_13062,plain,
( multiply(sk_c2,sP16_iProver_def) = sP13_iProver_def
| identity = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_12859,c_448]) ).
cnf(c_13065,plain,
( multiply(sk_c8,sP16_iProver_def) = sP5_iProver_def
| identity = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_12859,c_440]) ).
cnf(c_13296,plain,
( identity = sP10_iProver_def
| sP7_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_12860,c_12859]) ).
cnf(c_13327,plain,
( multiply(sP7_iProver_def,sP13_iProver_def) = sP14_iProver_def
| sk_c9 = sP11_iProver_def
| identity = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_12860,c_884]) ).
cnf(c_13328,plain,
( multiply(sP7_iProver_def,sP13_iProver_def) = sP14_iProver_def
| sk_c8 = sP12_iProver_def
| identity = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_12860,c_883]) ).
cnf(c_13373,plain,
( sk_c8 = sP12_iProver_def
| sk_c9 = sP14_iProver_def
| identity = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_13328,c_4548]) ).
cnf(c_13377,plain,
( sk_c9 = sP11_iProver_def
| sk_c9 = sP14_iProver_def
| identity = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_13327,c_4548]) ).
cnf(c_13540,plain,
inverse(sP9_iProver_def) = sk_c5,
inference(demodulation,[status(thm)],[c_12840,c_11976]) ).
cnf(c_13649,plain,
( inverse(sP10_iProver_def) = sP10_iProver_def
| sP7_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_13296,c_11996]) ).
cnf(c_13913,plain,
( multiply(sk_c6,sk_c8) != sk_c9
| inverse(inverse(sP8_iProver_def)) != sk_c8
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_11475,c_455]) ).
cnf(c_13914,plain,
multiply(sk_c6,sP8_iProver_def) = identity,
inference(superposition,[status(thm)],[c_11475,c_87]) ).
cnf(c_13919,plain,
( multiply(sk_c6,sk_c9) != sk_c7
| inverse(inverse(sP8_iProver_def)) != sk_c7
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_11475,c_454]) ).
cnf(c_13921,plain,
multiply(sk_c6,identity) = inverse(sP8_iProver_def),
inference(superposition,[status(thm)],[c_11475,c_11976]) ).
cnf(c_13922,plain,
( inverse(inverse(sP8_iProver_def)) != sk_c7
| sk_c7 != sP6_iProver_def
| ~ sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_13919,c_441]) ).
cnf(c_13965,plain,
inverse(sP8_iProver_def) = sk_c6,
inference(demodulation,[status(thm)],[c_13921,c_11976]) ).
cnf(c_14071,plain,
( multiply(sP16_iProver_def,sk_c9) = sP16_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6309,c_8777]) ).
cnf(c_14096,plain,
( multiply(sP16_iProver_def,sP16_iProver_def) = sP16_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_486,c_14071]) ).
cnf(c_14217,plain,
( multiply(sP10_iProver_def,sk_c9) = sP10_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6311,c_8425]) ).
cnf(c_14240,plain,
( multiply(inverse(sP10_iProver_def),sP10_iProver_def) = sk_c9
| sk_c9 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_14217,c_11346]) ).
cnf(c_14310,plain,
multiply(sk_c1,sP15_iProver_def) = identity,
inference(superposition,[status(thm)],[c_11476,c_87]) ).
cnf(c_14313,plain,
( multiply(sk_c9,multiply(sk_c1,sk_c9)) != sk_c8
| inverse(inverse(sP15_iProver_def)) != sk_c9
| ~ sP4_iProver_def ),
inference(superposition,[status(thm)],[c_11476,c_453]) ).
cnf(c_14317,plain,
multiply(sk_c1,identity) = inverse(sP15_iProver_def),
inference(superposition,[status(thm)],[c_11476,c_11976]) ).
cnf(c_14352,plain,
( identity = sP16_iProver_def
| sP8_iProver_def = sP10_iProver_def ),
inference(demodulation,[status(thm)],[c_3278,c_14310]) ).
cnf(c_14353,plain,
( identity = sP16_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(demodulation,[status(thm)],[c_2883,c_14310]) ).
cnf(c_14354,plain,
( sk_c8 = sP12_iProver_def
| identity = sP16_iProver_def ),
inference(demodulation,[status(thm)],[c_1120,c_14310]) ).
cnf(c_14355,plain,
( sk_c9 = sP11_iProver_def
| identity = sP16_iProver_def ),
inference(demodulation,[status(thm)],[c_1087,c_14310]) ).
cnf(c_14356,plain,
( sk_c8 = sP9_iProver_def
| identity = sP16_iProver_def ),
inference(demodulation,[status(thm)],[c_1011,c_14310]) ).
cnf(c_14533,plain,
inverse(sP15_iProver_def) = sk_c1,
inference(demodulation,[status(thm)],[c_14317,c_11976]) ).
cnf(c_15431,plain,
( identity = sP16_iProver_def
| sP9_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_14356,c_14354]) ).
cnf(c_15475,plain,
( multiply(sk_c1,sP9_iProver_def) = sP16_iProver_def
| identity = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_14356,c_451]) ).
cnf(c_15477,plain,
( multiply(sk_c5,sP9_iProver_def) = sP10_iProver_def
| identity = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_14356,c_445]) ).
cnf(c_15478,plain,
( multiply(sP9_iProver_def,sk_c9) = sP5_iProver_def
| identity = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_14356,c_440]) ).
cnf(c_15484,plain,
( identity = sP10_iProver_def
| identity = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_15477,c_12833]) ).
cnf(c_15645,plain,
( inverse(sP16_iProver_def) = sP16_iProver_def
| identity = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_15484,c_11996]) ).
cnf(c_15813,plain,
( multiply(sk_c2,sk_c8) != sk_c7
| inverse(inverse(sP7_iProver_def)) != sk_c8
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_11477,c_456]) ).
cnf(c_15815,plain,
multiply(sk_c2,sP7_iProver_def) = identity,
inference(superposition,[status(thm)],[c_11477,c_87]) ).
cnf(c_15822,plain,
multiply(sk_c2,identity) = inverse(sP7_iProver_def),
inference(superposition,[status(thm)],[c_11477,c_11976]) ).
cnf(c_15841,plain,
( identity = sP13_iProver_def
| sP9_iProver_def = sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_2622,c_15815]) ).
cnf(c_15843,plain,
( identity = sP13_iProver_def
| sP8_iProver_def = sP10_iProver_def ),
inference(demodulation,[status(thm)],[c_2528,c_15815]) ).
cnf(c_15844,plain,
( identity = sP13_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(demodulation,[status(thm)],[c_2392,c_15815]) ).
cnf(c_15880,plain,
inverse(sP7_iProver_def) = sk_c2,
inference(demodulation,[status(thm)],[c_15822,c_11976]) ).
cnf(c_16272,plain,
( sP9_iProver_def = sP12_iProver_def
| sP13_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_15841,c_15431]) ).
cnf(c_16360,plain,
( sP8_iProver_def = sP10_iProver_def
| sP13_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_15843,c_14352]) ).
cnf(c_16413,plain,
( sP6_iProver_def = sP8_iProver_def
| sP13_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_15844,c_14353]) ).
cnf(c_16527,plain,
( sP7_iProver_def = sP13_iProver_def
| sP9_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_16272,c_4034]) ).
cnf(c_16907,plain,
( sP7_iProver_def = sP13_iProver_def
| sP8_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_16360,c_3838]) ).
cnf(c_17014,plain,
( sP6_iProver_def = sP8_iProver_def
| sP7_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_16413,c_3686]) ).
cnf(c_17578,plain,
( multiply(sk_c9,sP7_iProver_def) = sP14_iProver_def
| sk_c7 = sP6_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_17014,c_888]) ).
cnf(c_17579,plain,
( multiply(sk_c9,sP7_iProver_def) = sP14_iProver_def
| sk_c7 = sP8_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_17014,c_887]) ).
cnf(c_17580,plain,
( multiply(sk_c9,sP7_iProver_def) = sP14_iProver_def
| sk_c8 = sP9_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_17014,c_886]) ).
cnf(c_17581,plain,
( multiply(sk_c9,sP7_iProver_def) = sP14_iProver_def
| sk_c7 = sP10_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_17014,c_885]) ).
cnf(c_17582,plain,
( multiply(sk_c9,sP7_iProver_def) = sP14_iProver_def
| sk_c9 = sP11_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_17014,c_884]) ).
cnf(c_17583,plain,
( multiply(sk_c9,sP7_iProver_def) = sP14_iProver_def
| sk_c8 = sP12_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_17014,c_883]) ).
cnf(c_18023,plain,
( inverse(sk_c8) != sk_c7
| ~ sP3_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_2055,c_488,c_489,c_1042,c_1052,c_1053,c_1108,c_2070,c_2055]) ).
cnf(c_18055,plain,
( inverse(sP15_iProver_def) != sk_c7
| ~ sP3_iProver_def
| sk_c8 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_481,c_18023]) ).
cnf(c_18087,plain,
( sk_c7 != sk_c1
| ~ sP3_iProver_def
| sk_c8 = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_18055,c_14533]) ).
cnf(c_18283,plain,
( sk_c9 != sk_c7
| sk_c7 != identity
| ~ sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2059,c_11996]) ).
cnf(c_18304,plain,
( sk_c9 != sP6_iProver_def
| sk_c7 != identity
| ~ sP3_iProver_def
| sk_c9 = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_482,c_18283]) ).
cnf(c_18680,plain,
( multiply(sk_c9,sP16_iProver_def) != sk_c8
| inverse(sP16_iProver_def) != sk_c9
| ~ sP4_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_9884,c_453]) ).
cnf(c_18681,plain,
( inverse(sP16_iProver_def) != sk_c9
| sk_c8 != sP16_iProver_def
| ~ sP0_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_9884,c_457]) ).
cnf(c_18682,plain,
( inverse(sP16_iProver_def) != sk_c7
| sk_c7 != sP16_iProver_def
| ~ sP3_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_9884,c_454]) ).
cnf(c_18729,plain,
( multiply(sP10_iProver_def,sP10_iProver_def) = identity
| sP7_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_13649,c_87]) ).
cnf(c_19012,plain,
( sk_c8 != sk_c7
| sk_c8 != identity
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2242,c_11996]) ).
cnf(c_19022,plain,
( sk_c8 != identity
| sk_c8 != sP5_iProver_def
| ~ sP1_iProver_def
| sP6_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_1622,c_19012]) ).
cnf(c_19026,plain,
( sk_c8 != identity
| sk_c8 != sP5_iProver_def
| ~ sP1_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_492,c_19012]) ).
cnf(c_19027,plain,
( sk_c8 != identity
| sk_c8 != sP10_iProver_def
| ~ sP1_iProver_def
| sk_c7 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_491,c_19012]) ).
cnf(c_19028,plain,
( sk_c8 != identity
| sk_c8 != sP5_iProver_def
| ~ sP1_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_490,c_19012]) ).
cnf(c_19033,plain,
( sk_c8 != identity
| sk_c8 != sP6_iProver_def
| ~ sP1_iProver_def
| sk_c9 = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_482,c_19012]) ).
cnf(c_19360,plain,
( sP5_iProver_def != sP10_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_1853,c_452,c_1188,c_1853,c_5331]) ).
cnf(c_19388,plain,
( sP5_iProver_def != sP6_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_1856,c_452,c_1188,c_1856,c_5331]) ).
cnf(c_20240,plain,
( inverse(inverse(sP9_iProver_def)) != sP9_iProver_def
| sk_c9 != identity
| ~ sP2_iProver_def
| identity = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_14356,c_2159]) ).
cnf(c_20260,plain,
( inverse(inverse(sP15_iProver_def)) != sP15_iProver_def
| sk_c9 != identity
| ~ sP2_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_990,c_2159]) ).
cnf(c_20266,plain,
( inverse(inverse(sP15_iProver_def)) != sP15_iProver_def
| sk_c9 != identity
| ~ sP2_iProver_def
| sk_c8 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_481,c_2159]) ).
cnf(c_20267,plain,
( inverse(inverse(sP15_iProver_def)) != sP15_iProver_def
| sk_c9 != identity
| ~ sP2_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_480,c_2159]) ).
cnf(c_20268,plain,
( inverse(inverse(sP15_iProver_def)) != sP15_iProver_def
| sk_c9 != identity
| ~ sP2_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_478,c_2159]) ).
cnf(c_20291,plain,
( sk_c9 != identity
| sP15_iProver_def != sP15_iProver_def
| ~ sP2_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(light_normalisation,[status(thm)],[c_20268,c_450,c_14533]) ).
cnf(c_20292,plain,
( sk_c9 != identity
| ~ sP2_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(equality_resolution_simp,[status(thm)],[c_20291]) ).
cnf(c_20296,plain,
( sk_c9 != identity
| sP15_iProver_def != sP15_iProver_def
| ~ sP2_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_20267,c_450,c_14533]) ).
cnf(c_20297,plain,
( sk_c9 != identity
| ~ sP2_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(equality_resolution_simp,[status(thm)],[c_20296]) ).
cnf(c_20301,plain,
( sk_c9 != identity
| sP15_iProver_def != sP15_iProver_def
| ~ sP2_iProver_def
| sk_c8 = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_20266,c_450,c_14533]) ).
cnf(c_20302,plain,
( sk_c9 != identity
| ~ sP2_iProver_def
| sk_c8 = sP12_iProver_def ),
inference(equality_resolution_simp,[status(thm)],[c_20301]) ).
cnf(c_20323,plain,
( sk_c9 != identity
| sP15_iProver_def != sP15_iProver_def
| ~ sP2_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_20260,c_450,c_14533]) ).
cnf(c_20324,plain,
( sk_c9 != identity
| ~ sP2_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(equality_resolution_simp,[status(thm)],[c_20323]) ).
cnf(c_20347,plain,
( sk_c9 != identity
| sP9_iProver_def != sP9_iProver_def
| ~ sP2_iProver_def
| identity = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_20240,c_444,c_13540]) ).
cnf(c_20348,plain,
( sk_c9 != identity
| ~ sP2_iProver_def
| identity = sP16_iProver_def ),
inference(equality_resolution_simp,[status(thm)],[c_20347]) ).
cnf(c_20678,plain,
( inverse(inverse(sP7_iProver_def)) != sP7_iProver_def
| sk_c8 != identity
| ~ sP0_iProver_def
| identity = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_12860,c_2929]) ).
cnf(c_20749,plain,
( sk_c8 != identity
| sP7_iProver_def != sP7_iProver_def
| ~ sP0_iProver_def
| identity = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_20678,c_442,c_15880]) ).
cnf(c_20750,plain,
( sk_c8 != identity
| ~ sP0_iProver_def
| identity = sP10_iProver_def ),
inference(equality_resolution_simp,[status(thm)],[c_20749]) ).
cnf(c_22713,plain,
( multiply(sk_c9,sk_c9) != sk_c8
| sk_c9 != identity
| ~ sP4_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3044,c_11996]) ).
cnf(c_22743,plain,
( multiply(sP16_iProver_def,sP16_iProver_def) != sk_c8
| sk_c9 != identity
| ~ sP4_iProver_def
| identity = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_12859,c_22713]) ).
cnf(c_22758,plain,
( multiply(sP16_iProver_def,sP16_iProver_def) != sk_c8
| sk_c9 != identity
| ~ sP4_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_486,c_22713]) ).
cnf(c_23405,plain,
( multiply(sk_c1,sP5_iProver_def) = multiply(sP16_iProver_def,sP16_iProver_def)
| identity = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_13065,c_2434]) ).
cnf(c_23411,plain,
( multiply(sP16_iProver_def,sk_c9) = multiply(sP16_iProver_def,sP16_iProver_def)
| identity = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_23405,c_8777]) ).
cnf(c_23498,plain,
( multiply(sP16_iProver_def,sP16_iProver_def) = identity
| identity = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_15645,c_87]) ).
cnf(c_23765,plain,
( multiply(sk_c4,sk_c8) != sk_c7
| sk_c8 != sP11_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_12389,c_446,c_12809]) ).
cnf(c_24573,plain,
( multiply(sk_c5,sk_c9) != sk_c7
| sk_c7 != sP9_iProver_def
| ~ sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_12838,c_444,c_13540]) ).
cnf(c_24598,plain,
( multiply(sk_c5,sP16_iProver_def) != sk_c7
| sk_c7 != sP9_iProver_def
| ~ sP3_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_486,c_24573]) ).
cnf(c_24864,plain,
( multiply(sk_c6,sk_c8) != sk_c9
| sk_c8 != sP8_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_13913,c_443,c_13965]) ).
cnf(c_25093,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_24864,c_24598,c_23765,c_23498,c_23411,c_22758,c_22743,c_20750,c_20348,c_20324,c_20302,c_20297,c_20292,c_19388,c_19360,c_19033,c_19027,c_19022,c_19028,c_19026,c_18729,c_18682,c_18681,c_18680,c_18304,c_18087,c_18023,c_17583,c_17582,c_17581,c_17580,c_17579,c_17578,c_17014,c_16907,c_16527,c_15880,c_15813,c_15815,c_15645,c_15484,c_15478,c_15475,c_15431,c_14533,c_14356,c_14355,c_14354,c_14353,c_14352,c_14313,c_14317,c_14310,c_14240,c_14217,c_14096,c_13965,c_13922,c_13921,c_13914,c_13540,c_13377,c_13373,c_13062,c_12858,c_12851,c_12840,c_12833,c_12809,c_12403,c_12390,c_12398,c_12391,c_11996,c_11946,c_11885,c_11486,c_11438,c_11401,c_11357,c_11352,c_11155,c_10149,c_9859,c_9740,c_9424,c_9106,c_9022,c_8899,c_8498,c_8425,c_6308,c_6069,c_5709,c_4813,c_4808,c_4791,c_4786,c_4614,c_4590,c_4548,c_4232,c_3045,c_2948,c_2929,c_2261,c_2243,c_2070,c_2060,c_1854,c_1852,c_1851,c_1487,c_1322,c_1122,c_924,c_915,c_913,c_491,c_485,c_463,c_462,c_461,c_460,c_459,c_458,c_452,c_450,c_448,c_447,c_446,c_445,c_444,c_443,c_442,c_440]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP319-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n012.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 : Thu May 2 23:46:40 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 9.57/2.18 % SZS status Started for theBenchmark.p
% 9.57/2.18 % SZS status Unsatisfiable for theBenchmark.p
% 9.57/2.18
% 9.57/2.18 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 9.57/2.18
% 9.57/2.18 ------ iProver source info
% 9.57/2.18
% 9.57/2.18 git: date: 2024-05-02 19:28:25 +0000
% 9.57/2.18 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 9.57/2.18 git: non_committed_changes: false
% 9.57/2.18
% 9.57/2.18 ------ Parsing...successful
% 9.57/2.18
% 9.57/2.18
% 9.57/2.18
% 9.57/2.18 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 9.57/2.18
% 9.57/2.18 ------ Preprocessing... gs_s sp: 5 0s gs_e snvd_s sp: 0 0s snvd_e
% 9.57/2.18
% 9.57/2.18 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 9.57/2.18 ------ Proving...
% 9.57/2.18 ------ Problem Properties
% 9.57/2.18
% 9.57/2.18
% 9.57/2.18 clauses 57
% 9.57/2.18 conjectures 42
% 9.57/2.18 EPR 37
% 9.57/2.18 Horn 20
% 9.57/2.18 unary 15
% 9.57/2.18 binary 36
% 9.57/2.18 lits 108
% 9.57/2.18 lits eq 98
% 9.57/2.18 fd_pure 0
% 9.57/2.18 fd_pseudo 0
% 9.57/2.18 fd_cond 0
% 9.57/2.18 fd_pseudo_cond 0
% 9.57/2.18 AC symbols 0
% 9.57/2.18
% 9.57/2.18 ------ Schedule dynamic 5 is on
% 9.57/2.18
% 9.57/2.18 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 9.57/2.18
% 9.57/2.18
% 9.57/2.18 ------
% 9.57/2.18 Current options:
% 9.57/2.18 ------
% 9.57/2.18
% 9.57/2.18
% 9.57/2.18
% 9.57/2.18
% 9.57/2.18 ------ Proving...
% 9.57/2.18
% 9.57/2.18
% 9.57/2.18 % SZS status Unsatisfiable for theBenchmark.p
% 9.57/2.18
% 9.57/2.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.57/2.19
% 9.57/2.19
%------------------------------------------------------------------------------