TSTP Solution File: GRP114-1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP114-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:21:01 EDT 2024
% Result : Unsatisfiable 70.54s 9.63s
% Output : CNFRefutation 70.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 19
% Syntax : Number of clauses : 143 ( 143 unt; 0 nHn; 4 RR)
% Number of literals : 143 ( 142 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 185 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
inverse(identity) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse_of_identity) ).
cnf(c_50,plain,
inverse(inverse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse_involution) ).
cnf(c_51,plain,
multiply(inverse(X0),inverse(X1)) = inverse(multiply(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse_product_lemma) ).
cnf(c_54,plain,
intersection(X0,X1) = intersection(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_commutative) ).
cnf(c_55,plain,
union(X0,X1) = union(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_commutative) ).
cnf(c_56,plain,
intersection(intersection(X0,X1),X2) = intersection(X0,intersection(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_associative) ).
cnf(c_57,plain,
union(union(X0,X1),X2) = union(X0,union(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_associative) ).
cnf(c_58,plain,
union(intersection(X0,X1),X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_intersection_absorbtion) ).
cnf(c_59,plain,
intersection(union(X0,X1),X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_union_absorbtion) ).
cnf(c_60,plain,
union(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,union(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_union1) ).
cnf(c_61,plain,
intersection(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,intersection(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_intersection1) ).
cnf(c_62,plain,
union(multiply(X0,X1),multiply(X2,X1)) = multiply(union(X0,X2),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_union2) ).
cnf(c_63,plain,
intersection(multiply(X0,X1),multiply(X2,X1)) = multiply(intersection(X0,X2),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_intersection2) ).
cnf(c_64,plain,
union(X0,identity) = positive_part(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',positive_part) ).
cnf(c_65,plain,
intersection(X0,identity) = negative_part(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',negative_part) ).
cnf(c_66,negated_conjecture,
multiply(positive_part(a),negative_part(a)) != a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_product) ).
cnf(c_67,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_68,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_69,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_89,plain,
union(X0,intersection(X1,X0)) = X0,
inference(theory_normalisation,[status(thm)],[c_58,c_57,c_55,c_56,c_54]) ).
cnf(c_90,plain,
intersection(X0,union(X1,X0)) = X0,
inference(theory_normalisation,[status(thm)],[c_59,c_57,c_55,c_56,c_54]) ).
cnf(c_247,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_50,c_68]) ).
cnf(c_249,plain,
intersection(identity,X0) = negative_part(X0),
inference(superposition,[status(thm)],[c_65,c_54]) ).
cnf(c_253,plain,
union(identity,X0) = positive_part(X0),
inference(superposition,[status(thm)],[c_64,c_55]) ).
cnf(c_258,plain,
union(X0,intersection(X0,X1)) = X0,
inference(superposition,[status(thm)],[c_54,c_89]) ).
cnf(c_271,plain,
union(X0,negative_part(X0)) = X0,
inference(superposition,[status(thm)],[c_249,c_89]) ).
cnf(c_280,plain,
positive_part(intersection(X0,identity)) = identity,
inference(superposition,[status(thm)],[c_253,c_89]) ).
cnf(c_281,plain,
positive_part(negative_part(X0)) = identity,
inference(light_normalisation,[status(thm)],[c_280,c_65]) ).
cnf(c_291,plain,
intersection(X0,positive_part(X0)) = X0,
inference(superposition,[status(thm)],[c_253,c_90]) ).
cnf(c_293,plain,
negative_part(union(X0,identity)) = identity,
inference(superposition,[status(thm)],[c_90,c_249]) ).
cnf(c_294,plain,
negative_part(positive_part(X0)) = identity,
inference(light_normalisation,[status(thm)],[c_293,c_64]) ).
cnf(c_306,plain,
inverse(multiply(identity,X0)) = multiply(inverse(X0),identity),
inference(superposition,[status(thm)],[c_49,c_51]) ).
cnf(c_314,plain,
multiply(inverse(X0),identity) = inverse(X0),
inference(light_normalisation,[status(thm)],[c_306,c_67]) ).
cnf(c_323,plain,
intersection(X0,intersection(identity,X1)) = intersection(negative_part(X0),X1),
inference(superposition,[status(thm)],[c_65,c_56]) ).
cnf(c_340,plain,
union(X0,union(identity,X1)) = union(positive_part(X0),X1),
inference(superposition,[status(thm)],[c_64,c_57]) ).
cnf(c_359,plain,
union(positive_part(X0),identity) = positive_part(X0),
inference(superposition,[status(thm)],[c_294,c_271]) ).
cnf(c_365,plain,
union(identity,positive_part(X0)) = positive_part(X0),
inference(theory_normalisation,[status(thm)],[c_359,c_56,c_54,c_57,c_55]) ).
cnf(c_373,plain,
intersection(negative_part(X0),identity) = negative_part(X0),
inference(superposition,[status(thm)],[c_281,c_291]) ).
cnf(c_379,plain,
intersection(identity,negative_part(X0)) = negative_part(X0),
inference(theory_normalisation,[status(thm)],[c_373,c_56,c_54,c_57,c_55]) ).
cnf(c_404,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_68,c_69]) ).
cnf(c_418,plain,
multiply(X0,union(inverse(X0),X1)) = union(identity,multiply(X0,X1)),
inference(superposition,[status(thm)],[c_247,c_60]) ).
cnf(c_481,plain,
union(X0,multiply(X1,X0)) = multiply(union(identity,X1),X0),
inference(superposition,[status(thm)],[c_67,c_62]) ).
cnf(c_487,plain,
multiply(union(X0,inverse(X1)),X1) = union(multiply(X0,X1),identity),
inference(superposition,[status(thm)],[c_68,c_62]) ).
cnf(c_501,plain,
multiply(union(X0,inverse(X1)),X1) = union(identity,multiply(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_487,c_56,c_54,c_57,c_55]) ).
cnf(c_538,plain,
multiply(X0,identity) = X0,
inference(superposition,[status(thm)],[c_50,c_314]) ).
cnf(c_551,plain,
intersection(X0,multiply(X0,X1)) = multiply(X0,intersection(identity,X1)),
inference(superposition,[status(thm)],[c_538,c_61]) ).
cnf(c_552,plain,
union(X0,multiply(X0,X1)) = multiply(X0,union(identity,X1)),
inference(superposition,[status(thm)],[c_538,c_60]) ).
cnf(c_594,plain,
intersection(X0,multiply(X1,X0)) = multiply(intersection(identity,X1),X0),
inference(superposition,[status(thm)],[c_67,c_63]) ).
cnf(c_595,plain,
multiply(intersection(inverse(X0),X1),X0) = intersection(identity,multiply(X1,X0)),
inference(superposition,[status(thm)],[c_68,c_63]) ).
cnf(c_655,plain,
negative_part(negative_part(X0)) = negative_part(X0),
inference(superposition,[status(thm)],[c_379,c_249]) ).
cnf(c_2253,plain,
intersection(negative_part(X0),X1) = intersection(X0,negative_part(X1)),
inference(superposition,[status(thm)],[c_249,c_323]) ).
cnf(c_2459,plain,
union(negative_part(X0),intersection(X0,negative_part(X1))) = negative_part(X0),
inference(superposition,[status(thm)],[c_2253,c_258]) ).
cnf(c_2726,plain,
union(positive_part(X0),X1) = union(X0,positive_part(X1)),
inference(superposition,[status(thm)],[c_253,c_340]) ).
cnf(c_3119,plain,
union(X0,positive_part(X1)) = union(X1,positive_part(X0)),
inference(superposition,[status(thm)],[c_2726,c_55]) ).
cnf(c_3549,plain,
multiply(inverse(inverse(X0)),inverse(multiply(X1,X0))) = multiply(identity,inverse(X1)),
inference(superposition,[status(thm)],[c_51,c_404]) ).
cnf(c_3571,plain,
multiply(X0,inverse(multiply(X1,X0))) = multiply(identity,inverse(X1)),
inference(light_normalisation,[status(thm)],[c_3549,c_50]) ).
cnf(c_4969,plain,
multiply(union(identity,X0),inverse(X0)) = union(inverse(X0),identity),
inference(superposition,[status(thm)],[c_247,c_481]) ).
cnf(c_4998,plain,
multiply(union(identity,X0),inverse(X0)) = union(identity,inverse(X0)),
inference(theory_normalisation,[status(thm)],[c_4969,c_56,c_54,c_57,c_55]) ).
cnf(c_4999,plain,
multiply(positive_part(X0),inverse(X0)) = union(identity,inverse(X0)),
inference(light_normalisation,[status(thm)],[c_4998,c_253]) ).
cnf(c_5227,plain,
multiply(inverse(X0),intersection(identity,X0)) = intersection(inverse(X0),identity),
inference(superposition,[status(thm)],[c_68,c_551]) ).
cnf(c_5258,plain,
multiply(inverse(X0),intersection(identity,X0)) = intersection(identity,inverse(X0)),
inference(theory_normalisation,[status(thm)],[c_5227,c_56,c_54,c_57,c_55]) ).
cnf(c_5259,plain,
multiply(inverse(X0),negative_part(X0)) = intersection(identity,inverse(X0)),
inference(light_normalisation,[status(thm)],[c_5258,c_249]) ).
cnf(c_5285,plain,
multiply(X0,negative_part(inverse(X0))) = intersection(identity,X0),
inference(superposition,[status(thm)],[c_50,c_5259]) ).
cnf(c_5289,plain,
multiply(inverse(positive_part(X0)),identity) = intersection(identity,inverse(positive_part(X0))),
inference(superposition,[status(thm)],[c_294,c_5259]) ).
cnf(c_5311,plain,
multiply(X0,negative_part(inverse(X0))) = negative_part(X0),
inference(light_normalisation,[status(thm)],[c_5285,c_249]) ).
cnf(c_5498,plain,
multiply(inverse(X0),negative_part(X0)) = negative_part(inverse(X0)),
inference(superposition,[status(thm)],[c_50,c_5311]) ).
cnf(c_5509,plain,
multiply(union(identity,X0),negative_part(inverse(X0))) = union(negative_part(inverse(X0)),negative_part(X0)),
inference(superposition,[status(thm)],[c_5311,c_481]) ).
cnf(c_5526,plain,
multiply(union(identity,X0),negative_part(inverse(X0))) = union(negative_part(X0),negative_part(inverse(X0))),
inference(theory_normalisation,[status(thm)],[c_5509,c_56,c_54,c_57,c_55]) ).
cnf(c_5527,plain,
multiply(positive_part(X0),negative_part(inverse(X0))) = union(negative_part(X0),negative_part(inverse(X0))),
inference(light_normalisation,[status(thm)],[c_5526,c_253]) ).
cnf(c_5553,plain,
multiply(inverse(positive_part(X0)),identity) = negative_part(inverse(positive_part(X0))),
inference(superposition,[status(thm)],[c_294,c_5498]) ).
cnf(c_5555,plain,
multiply(inverse(negative_part(X0)),negative_part(X0)) = negative_part(inverse(negative_part(X0))),
inference(superposition,[status(thm)],[c_655,c_5498]) ).
cnf(c_5647,plain,
multiply(inverse(X0),union(identity,X0)) = union(inverse(X0),identity),
inference(superposition,[status(thm)],[c_68,c_552]) ).
cnf(c_5686,plain,
multiply(inverse(X0),union(identity,X0)) = union(identity,inverse(X0)),
inference(theory_normalisation,[status(thm)],[c_5647,c_56,c_54,c_57,c_55]) ).
cnf(c_5687,plain,
multiply(inverse(X0),positive_part(X0)) = union(identity,inverse(X0)),
inference(light_normalisation,[status(thm)],[c_5686,c_253]) ).
cnf(c_5793,plain,
multiply(X0,positive_part(inverse(X0))) = union(identity,X0),
inference(superposition,[status(thm)],[c_50,c_5687]) ).
cnf(c_5821,plain,
multiply(X0,positive_part(inverse(X0))) = positive_part(X0),
inference(light_normalisation,[status(thm)],[c_5793,c_253]) ).
cnf(c_6040,plain,
multiply(X0,multiply(positive_part(inverse(X0)),X1)) = multiply(positive_part(X0),X1),
inference(superposition,[status(thm)],[c_5821,c_69]) ).
cnf(c_6044,plain,
multiply(X0,union(X1,positive_part(inverse(X0)))) = union(multiply(X0,X1),positive_part(X0)),
inference(superposition,[status(thm)],[c_5821,c_60]) ).
cnf(c_6058,plain,
multiply(X0,union(X1,positive_part(inverse(X0)))) = union(positive_part(X0),multiply(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_6044,c_56,c_54,c_57,c_55]) ).
cnf(c_6412,plain,
multiply(intersection(identity,X0),positive_part(inverse(X0))) = intersection(positive_part(inverse(X0)),positive_part(X0)),
inference(superposition,[status(thm)],[c_5821,c_594]) ).
cnf(c_6451,plain,
multiply(intersection(identity,X0),positive_part(inverse(X0))) = intersection(positive_part(X0),positive_part(inverse(X0))),
inference(theory_normalisation,[status(thm)],[c_6412,c_56,c_54,c_57,c_55]) ).
cnf(c_6452,plain,
multiply(negative_part(X0),positive_part(inverse(X0))) = intersection(positive_part(X0),positive_part(inverse(X0))),
inference(light_normalisation,[status(thm)],[c_6451,c_249]) ).
cnf(c_7695,plain,
multiply(identity,inverse(negative_part(X0))) = union(identity,inverse(negative_part(X0))),
inference(superposition,[status(thm)],[c_281,c_4999]) ).
cnf(c_7703,plain,
multiply(positive_part(inverse(X0)),X0) = union(identity,X0),
inference(superposition,[status(thm)],[c_50,c_4999]) ).
cnf(c_7726,plain,
multiply(positive_part(inverse(X0)),X0) = positive_part(X0),
inference(light_normalisation,[status(thm)],[c_7703,c_253]) ).
cnf(c_7768,plain,
multiply(positive_part(X0),inverse(X0)) = positive_part(inverse(X0)),
inference(superposition,[status(thm)],[c_50,c_7726]) ).
cnf(c_7774,plain,
multiply(positive_part(inverse(X0)),intersection(identity,X0)) = intersection(positive_part(inverse(X0)),positive_part(X0)),
inference(superposition,[status(thm)],[c_7726,c_551]) ).
cnf(c_7775,plain,
multiply(inverse(positive_part(inverse(X0))),positive_part(X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_7726,c_404]) ).
cnf(c_7780,plain,
multiply(positive_part(inverse(X0)),multiply(X0,X1)) = multiply(positive_part(X0),X1),
inference(superposition,[status(thm)],[c_7726,c_69]) ).
cnf(c_7793,plain,
multiply(inverse(positive_part(inverse(X0))),positive_part(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_7775,c_67]) ).
cnf(c_7803,plain,
multiply(positive_part(inverse(X0)),intersection(identity,X0)) = intersection(positive_part(X0),positive_part(inverse(X0))),
inference(theory_normalisation,[status(thm)],[c_7774,c_56,c_54,c_57,c_55]) ).
cnf(c_7804,plain,
multiply(positive_part(inverse(X0)),negative_part(X0)) = multiply(negative_part(X0),positive_part(inverse(X0))),
inference(light_normalisation,[status(thm)],[c_7803,c_249,c_6452]) ).
cnf(c_7831,plain,
multiply(identity,inverse(negative_part(X0))) = positive_part(inverse(negative_part(X0))),
inference(superposition,[status(thm)],[c_281,c_7768]) ).
cnf(c_7909,plain,
multiply(inverse(positive_part(inverse(X0))),union(identity,positive_part(X0))) = union(inverse(positive_part(inverse(X0))),X0),
inference(superposition,[status(thm)],[c_7793,c_552]) ).
cnf(c_7941,plain,
multiply(inverse(positive_part(inverse(X0))),union(identity,positive_part(X0))) = union(X0,inverse(positive_part(inverse(X0)))),
inference(theory_normalisation,[status(thm)],[c_7909,c_56,c_54,c_57,c_55]) ).
cnf(c_7942,plain,
union(X0,inverse(positive_part(inverse(X0)))) = X0,
inference(light_normalisation,[status(thm)],[c_7941,c_365,c_7793]) ).
cnf(c_8079,plain,
union(inverse(X0),inverse(positive_part(X0))) = inverse(X0),
inference(superposition,[status(thm)],[c_50,c_7942]) ).
cnf(c_8147,plain,
union(inverse(negative_part(X0)),inverse(identity)) = inverse(negative_part(X0)),
inference(superposition,[status(thm)],[c_281,c_8079]) ).
cnf(c_8163,plain,
intersection(inverse(positive_part(X0)),inverse(X0)) = inverse(positive_part(X0)),
inference(superposition,[status(thm)],[c_8079,c_90]) ).
cnf(c_8171,plain,
intersection(inverse(X0),inverse(positive_part(X0))) = inverse(positive_part(X0)),
inference(theory_normalisation,[status(thm)],[c_8163,c_56,c_54,c_57,c_55]) ).
cnf(c_8172,plain,
union(inverse(identity),inverse(negative_part(X0))) = inverse(negative_part(X0)),
inference(theory_normalisation,[status(thm)],[c_8147,c_56,c_54,c_57,c_55]) ).
cnf(c_8173,plain,
positive_part(inverse(negative_part(X0))) = inverse(negative_part(X0)),
inference(light_normalisation,[status(thm)],[c_8172,c_49,c_7695,c_7831]) ).
cnf(c_8222,plain,
negative_part(inverse(negative_part(X0))) = identity,
inference(superposition,[status(thm)],[c_8173,c_294]) ).
cnf(c_8327,plain,
intersection(X0,inverse(positive_part(inverse(X0)))) = inverse(positive_part(inverse(X0))),
inference(superposition,[status(thm)],[c_50,c_8171]) ).
cnf(c_8394,plain,
multiply(negative_part(X0),inverse(negative_part(inverse(X0)))) = multiply(identity,inverse(inverse(X0))),
inference(superposition,[status(thm)],[c_5498,c_3571]) ).
cnf(c_8437,plain,
multiply(negative_part(X0),inverse(negative_part(inverse(X0)))) = X0,
inference(light_normalisation,[status(thm)],[c_8394,c_50,c_67]) ).
cnf(c_9651,plain,
multiply(intersection(identity,negative_part(X0)),inverse(negative_part(inverse(X0)))) = intersection(inverse(negative_part(inverse(X0))),X0),
inference(superposition,[status(thm)],[c_8437,c_594]) ).
cnf(c_9682,plain,
multiply(intersection(identity,negative_part(X0)),inverse(negative_part(inverse(X0)))) = intersection(X0,inverse(negative_part(inverse(X0)))),
inference(theory_normalisation,[status(thm)],[c_9651,c_56,c_54,c_57,c_55]) ).
cnf(c_9683,plain,
intersection(X0,inverse(negative_part(inverse(X0)))) = X0,
inference(light_normalisation,[status(thm)],[c_9682,c_379,c_8437]) ).
cnf(c_9720,plain,
intersection(inverse(X0),inverse(negative_part(X0))) = inverse(X0),
inference(superposition,[status(thm)],[c_50,c_9683]) ).
cnf(c_9783,plain,
intersection(inverse(positive_part(X0)),inverse(identity)) = inverse(positive_part(X0)),
inference(superposition,[status(thm)],[c_294,c_9720]) ).
cnf(c_9804,plain,
union(inverse(negative_part(X0)),inverse(X0)) = inverse(negative_part(X0)),
inference(superposition,[status(thm)],[c_9720,c_89]) ).
cnf(c_9813,plain,
union(inverse(X0),inverse(negative_part(X0))) = inverse(negative_part(X0)),
inference(theory_normalisation,[status(thm)],[c_9804,c_56,c_54,c_57,c_55]) ).
cnf(c_9814,plain,
intersection(inverse(identity),inverse(positive_part(X0))) = inverse(positive_part(X0)),
inference(theory_normalisation,[status(thm)],[c_9783,c_56,c_54,c_57,c_55]) ).
cnf(c_9815,plain,
negative_part(inverse(positive_part(X0))) = inverse(positive_part(X0)),
inference(light_normalisation,[status(thm)],[c_9814,c_49,c_5289,c_5553]) ).
cnf(c_10219,plain,
union(negative_part(X0),intersection(X0,inverse(positive_part(X1)))) = negative_part(X0),
inference(superposition,[status(thm)],[c_9815,c_2459]) ).
cnf(c_10622,plain,
multiply(X0,union(X1,positive_part(inverse(X0)))) = union(identity,multiply(X0,positive_part(X1))),
inference(superposition,[status(thm)],[c_3119,c_418]) ).
cnf(c_11466,plain,
union(identity,multiply(inverse(X0),negative_part(X0))) = multiply(inverse(negative_part(X0)),negative_part(X0)),
inference(superposition,[status(thm)],[c_9813,c_501]) ).
cnf(c_11500,plain,
union(identity,negative_part(inverse(X0))) = identity,
inference(light_normalisation,[status(thm)],[c_11466,c_5498,c_5555,c_8222]) ).
cnf(c_11534,plain,
multiply(negative_part(inverse(X0)),X0) = intersection(identity,multiply(identity,X0)),
inference(superposition,[status(thm)],[c_65,c_595]) ).
cnf(c_11597,plain,
multiply(negative_part(inverse(X0)),X0) = negative_part(X0),
inference(light_normalisation,[status(thm)],[c_11534,c_67,c_249]) ).
cnf(c_11671,plain,
multiply(negative_part(X0),inverse(X0)) = negative_part(inverse(X0)),
inference(superposition,[status(thm)],[c_50,c_11597]) ).
cnf(c_11677,plain,
multiply(negative_part(inverse(X0)),union(identity,X0)) = union(negative_part(inverse(X0)),negative_part(X0)),
inference(superposition,[status(thm)],[c_11597,c_552]) ).
cnf(c_11715,plain,
multiply(negative_part(inverse(X0)),union(identity,X0)) = union(negative_part(X0),negative_part(inverse(X0))),
inference(theory_normalisation,[status(thm)],[c_11677,c_56,c_54,c_57,c_55]) ).
cnf(c_11716,plain,
multiply(negative_part(inverse(X0)),positive_part(X0)) = multiply(positive_part(X0),negative_part(inverse(X0))),
inference(light_normalisation,[status(thm)],[c_11715,c_253,c_5527]) ).
cnf(c_15544,plain,
multiply(positive_part(inverse(inverse(X0))),negative_part(inverse(X0))) = multiply(positive_part(inverse(X0)),negative_part(X0)),
inference(superposition,[status(thm)],[c_5498,c_7780]) ).
cnf(c_15545,plain,
multiply(positive_part(inverse(X0)),negative_part(X0)) = multiply(positive_part(X0),negative_part(inverse(X0))),
inference(superposition,[status(thm)],[c_5311,c_7780]) ).
cnf(c_15597,plain,
multiply(positive_part(X0),negative_part(inverse(X0))) = multiply(negative_part(X0),positive_part(inverse(X0))),
inference(light_normalisation,[status(thm)],[c_15544,c_50,c_7804]) ).
cnf(c_101976,plain,
union(positive_part(X0),multiply(X0,X1)) = union(identity,multiply(X0,positive_part(X1))),
inference(light_normalisation,[status(thm)],[c_6058,c_10622]) ).
cnf(c_102085,plain,
union(identity,multiply(negative_part(X0),positive_part(inverse(X0)))) = union(positive_part(negative_part(X0)),negative_part(inverse(X0))),
inference(superposition,[status(thm)],[c_11671,c_101976]) ).
cnf(c_102100,plain,
union(identity,multiply(negative_part(inverse(X0)),positive_part(X0))) = union(positive_part(negative_part(inverse(X0))),negative_part(X0)),
inference(superposition,[status(thm)],[c_11597,c_101976]) ).
cnf(c_102212,plain,
union(identity,multiply(negative_part(inverse(X0)),positive_part(X0))) = union(negative_part(X0),positive_part(negative_part(inverse(X0)))),
inference(theory_normalisation,[status(thm)],[c_102100,c_56,c_54,c_57,c_55]) ).
cnf(c_102213,plain,
union(identity,multiply(positive_part(X0),negative_part(inverse(X0)))) = union(negative_part(X0),positive_part(negative_part(inverse(X0)))),
inference(light_normalisation,[status(thm)],[c_102212,c_11716]) ).
cnf(c_102222,plain,
union(identity,multiply(positive_part(X0),negative_part(inverse(X0)))) = identity,
inference(light_normalisation,[status(thm)],[c_102085,c_281,c_11500,c_15597]) ).
cnf(c_102755,plain,
union(identity,multiply(positive_part(inverse(X0)),negative_part(X0))) = identity,
inference(superposition,[status(thm)],[c_50,c_102222]) ).
cnf(c_102839,plain,
union(negative_part(X0),positive_part(negative_part(inverse(X0)))) = identity,
inference(light_normalisation,[status(thm)],[c_102755,c_15545,c_102213]) ).
cnf(c_157255,plain,
union(negative_part(X0),inverse(positive_part(inverse(X0)))) = negative_part(X0),
inference(superposition,[status(thm)],[c_8327,c_10219]) ).
cnf(c_157756,plain,
union(identity,multiply(negative_part(X0),positive_part(inverse(X0)))) = multiply(negative_part(X0),positive_part(inverse(X0))),
inference(superposition,[status(thm)],[c_157255,c_501]) ).
cnf(c_157801,plain,
multiply(positive_part(X0),negative_part(inverse(X0))) = identity,
inference(light_normalisation,[status(thm)],[c_157756,c_15597,c_102213,c_102839]) ).
cnf(c_159384,plain,
multiply(positive_part(X0),negative_part(inverse(inverse(X0)))) = multiply(X0,identity),
inference(superposition,[status(thm)],[c_157801,c_6040]) ).
cnf(c_159415,plain,
multiply(positive_part(X0),negative_part(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_159384,c_50,c_538]) ).
cnf(c_159494,plain,
a != a,
inference(demodulation,[status(thm)],[c_66,c_159415]) ).
cnf(c_159495,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_159494]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : GRP114-1 : TPTP v8.1.2. Released v1.2.0.
% 0.02/0.12 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n026.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 00:14:36 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.17/0.44 Running UEQ theorem proving
% 0.17/0.44 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 70.54/9.63 % SZS status Started for theBenchmark.p
% 70.54/9.63 % SZS status Unsatisfiable for theBenchmark.p
% 70.54/9.63
% 70.54/9.63 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 70.54/9.63
% 70.54/9.63 ------ iProver source info
% 70.54/9.63
% 70.54/9.63 git: date: 2024-05-02 19:28:25 +0000
% 70.54/9.63 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 70.54/9.63 git: non_committed_changes: false
% 70.54/9.63
% 70.54/9.63 ------ Parsing...successful
% 70.54/9.63
% 70.54/9.63
% 70.54/9.63
% 70.54/9.63 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 70.54/9.63
% 70.54/9.63 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 70.54/9.63
% 70.54/9.63 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 70.54/9.63 ------ Proving...
% 70.54/9.63 ------ Problem Properties
% 70.54/9.63
% 70.54/9.63
% 70.54/9.63 clauses 21
% 70.54/9.63 conjectures 1
% 70.54/9.63 EPR 0
% 70.54/9.63 Horn 21
% 70.54/9.63 unary 21
% 70.54/9.63 binary 0
% 70.54/9.63 lits 21
% 70.54/9.63 lits eq 21
% 70.54/9.63 fd_pure 0
% 70.54/9.63 fd_pseudo 0
% 70.54/9.63 fd_cond 0
% 70.54/9.63 fd_pseudo_cond 0
% 70.54/9.63 AC symbols 2
% 70.54/9.63
% 70.54/9.63 ------ Input Options Time Limit: Unbounded
% 70.54/9.63
% 70.54/9.63
% 70.54/9.63 ------
% 70.54/9.63 Current options:
% 70.54/9.63 ------
% 70.54/9.63
% 70.54/9.63
% 70.54/9.63
% 70.54/9.63
% 70.54/9.63 ------ Proving...
% 70.54/9.63
% 70.54/9.63
% 70.54/9.63 % SZS status Unsatisfiable for theBenchmark.p
% 70.54/9.63
% 70.54/9.63 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 70.54/9.63
% 70.54/9.63
%------------------------------------------------------------------------------