TSTP Solution File: GRP114-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP114-1 : TPTP v8.2.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n022.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 : Mon Jun 24 06:57:57 EDT 2024
% Result : Unsatisfiable 26.97s 4.21s
% Output : CNFRefutation 26.97s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% 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_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_143,plain,
positive_part(a) = sP0_iProver_def,
definition ).
cnf(c_144,plain,
negative_part(a) = sP1_iProver_def,
definition ).
cnf(c_145,plain,
multiply(sP0_iProver_def,sP1_iProver_def) = sP2_iProver_def,
definition ).
cnf(c_146,negated_conjecture,
sP2_iProver_def != a,
inference(demodulation,[status(thm)],[c_66,c_144,c_143,c_145]) ).
cnf(c_247,plain,
union(X0,union(X1,X2)) = union(X1,union(X0,X2)),
inference(superposition,[status(thm)],[c_57,c_55]) ).
cnf(c_259,plain,
intersection(identity,X0) = negative_part(X0),
inference(superposition,[status(thm)],[c_65,c_54]) ).
cnf(c_263,plain,
union(identity,X0) = positive_part(X0),
inference(superposition,[status(thm)],[c_64,c_55]) ).
cnf(c_285,plain,
union(X0,intersection(X0,X1)) = X0,
inference(superposition,[status(thm)],[c_54,c_89]) ).
cnf(c_288,plain,
union(X0,negative_part(X0)) = X0,
inference(superposition,[status(thm)],[c_259,c_89]) ).
cnf(c_289,plain,
positive_part(intersection(X0,identity)) = identity,
inference(superposition,[status(thm)],[c_89,c_263]) ).
cnf(c_290,plain,
positive_part(negative_part(X0)) = identity,
inference(light_normalisation,[status(thm)],[c_289,c_65]) ).
cnf(c_295,plain,
intersection(X0,union(X0,X1)) = X0,
inference(superposition,[status(thm)],[c_55,c_90]) ).
cnf(c_299,plain,
intersection(X0,positive_part(X0)) = X0,
inference(superposition,[status(thm)],[c_263,c_90]) ).
cnf(c_301,plain,
negative_part(union(X0,identity)) = identity,
inference(superposition,[status(thm)],[c_90,c_259]) ).
cnf(c_302,plain,
negative_part(positive_part(X0)) = identity,
inference(light_normalisation,[status(thm)],[c_301,c_64]) ).
cnf(c_313,plain,
inverse(multiply(identity,X0)) = multiply(inverse(X0),identity),
inference(superposition,[status(thm)],[c_49,c_51]) ).
cnf(c_319,plain,
multiply(inverse(X0),identity) = inverse(X0),
inference(light_normalisation,[status(thm)],[c_313,c_67]) ).
cnf(c_341,plain,
positive_part(sP1_iProver_def) = identity,
inference(superposition,[status(thm)],[c_144,c_290]) ).
cnf(c_343,plain,
negative_part(sP0_iProver_def) = identity,
inference(superposition,[status(thm)],[c_143,c_302]) ).
cnf(c_354,plain,
union(X0,union(intersection(X1,X0),X2)) = union(X0,X2),
inference(superposition,[status(thm)],[c_89,c_57]) ).
cnf(c_385,plain,
multiply(sP0_iProver_def,union(sP1_iProver_def,X0)) = union(sP2_iProver_def,multiply(sP0_iProver_def,X0)),
inference(superposition,[status(thm)],[c_145,c_60]) ).
cnf(c_454,plain,
union(a,sP1_iProver_def) = a,
inference(superposition,[status(thm)],[c_144,c_288]) ).
cnf(c_457,plain,
union(sP0_iProver_def,identity) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_343,c_288]) ).
cnf(c_462,plain,
union(sP1_iProver_def,a) = a,
inference(theory_normalisation,[status(thm)],[c_454,c_56,c_54,c_57,c_55]) ).
cnf(c_471,plain,
intersection(identity,sP0_iProver_def) = identity,
inference(superposition,[status(thm)],[c_457,c_90]) ).
cnf(c_472,plain,
positive_part(sP0_iProver_def) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_457,c_64]) ).
cnf(c_473,plain,
intersection(sP0_iProver_def,identity) = identity,
inference(theory_normalisation,[status(thm)],[c_471,c_56,c_54,c_57,c_55]) ).
cnf(c_477,plain,
union(sP1_iProver_def,union(a,X0)) = union(a,X0),
inference(superposition,[status(thm)],[c_462,c_57]) ).
cnf(c_481,plain,
intersection(sP0_iProver_def,intersection(identity,X0)) = intersection(identity,X0),
inference(superposition,[status(thm)],[c_473,c_56]) ).
cnf(c_484,plain,
intersection(sP0_iProver_def,negative_part(X0)) = negative_part(X0),
inference(light_normalisation,[status(thm)],[c_481,c_259]) ).
cnf(c_491,plain,
union(X0,multiply(X1,X0)) = multiply(union(identity,X1),X0),
inference(superposition,[status(thm)],[c_67,c_62]) ).
cnf(c_531,plain,
intersection(X0,multiply(X1,X0)) = multiply(intersection(identity,X1),X0),
inference(superposition,[status(thm)],[c_67,c_63]) ).
cnf(c_568,plain,
intersection(a,sP0_iProver_def) = a,
inference(superposition,[status(thm)],[c_143,c_299]) ).
cnf(c_571,plain,
intersection(sP1_iProver_def,identity) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_341,c_299]) ).
cnf(c_577,plain,
intersection(sP0_iProver_def,a) = a,
inference(theory_normalisation,[status(thm)],[c_568,c_56,c_54,c_57,c_55]) ).
cnf(c_584,plain,
union(identity,sP1_iProver_def) = identity,
inference(superposition,[status(thm)],[c_571,c_89]) ).
cnf(c_585,plain,
negative_part(sP1_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_571,c_65]) ).
cnf(c_586,plain,
union(sP1_iProver_def,identity) = identity,
inference(theory_normalisation,[status(thm)],[c_584,c_56,c_54,c_57,c_55]) ).
cnf(c_591,plain,
intersection(sP0_iProver_def,intersection(a,X0)) = intersection(a,X0),
inference(superposition,[status(thm)],[c_577,c_56]) ).
cnf(c_595,plain,
union(sP1_iProver_def,union(identity,X0)) = union(identity,X0),
inference(superposition,[status(thm)],[c_586,c_57]) ).
cnf(c_598,plain,
union(sP1_iProver_def,positive_part(X0)) = positive_part(X0),
inference(light_normalisation,[status(thm)],[c_595,c_263]) ).
cnf(c_615,plain,
union(X0,union(intersection(X0,X1),X2)) = union(X0,X2),
inference(superposition,[status(thm)],[c_285,c_57]) ).
cnf(c_650,plain,
multiply(X0,identity) = X0,
inference(superposition,[status(thm)],[c_50,c_319]) ).
cnf(c_666,plain,
intersection(X0,multiply(X0,X1)) = multiply(X0,intersection(identity,X1)),
inference(superposition,[status(thm)],[c_650,c_61]) ).
cnf(c_667,plain,
union(X0,multiply(X0,X1)) = multiply(X0,union(identity,X1)),
inference(superposition,[status(thm)],[c_650,c_60]) ).
cnf(c_735,plain,
intersection(sP0_iProver_def,sP1_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_585,c_484]) ).
cnf(c_761,plain,
union(sP1_iProver_def,sP0_iProver_def) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_472,c_598]) ).
cnf(c_766,plain,
union(sP0_iProver_def,sP1_iProver_def) = sP0_iProver_def,
inference(theory_normalisation,[status(thm)],[c_761,c_56,c_54,c_57,c_55]) ).
cnf(c_2562,plain,
union(sP1_iProver_def,union(X0,a)) = union(X0,a),
inference(superposition,[status(thm)],[c_55,c_477]) ).
cnf(c_2578,plain,
intersection(sP1_iProver_def,union(a,X0)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_477,c_295]) ).
cnf(c_2590,plain,
intersection(sP0_iProver_def,intersection(X0,a)) = intersection(X0,a),
inference(superposition,[status(thm)],[c_54,c_591]) ).
cnf(c_2606,plain,
union(sP0_iProver_def,intersection(a,X0)) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_591,c_285]) ).
cnf(c_2638,plain,
union(union(a,X0),sP1_iProver_def) = union(a,X0),
inference(superposition,[status(thm)],[c_2578,c_89]) ).
cnf(c_2644,plain,
union(sP1_iProver_def,union(X0,a)) = union(a,X0),
inference(theory_normalisation,[status(thm)],[c_2638,c_56,c_54,c_57,c_55]) ).
cnf(c_2674,plain,
intersection(intersection(a,X0),sP0_iProver_def) = intersection(a,X0),
inference(superposition,[status(thm)],[c_2606,c_90]) ).
cnf(c_2681,plain,
intersection(sP0_iProver_def,intersection(X0,a)) = intersection(a,X0),
inference(theory_normalisation,[status(thm)],[c_2674,c_56,c_54,c_57,c_55]) ).
cnf(c_4396,plain,
union(sP1_iProver_def,positive_part(a)) = union(a,identity),
inference(superposition,[status(thm)],[c_263,c_2644]) ).
cnf(c_4417,plain,
union(sP1_iProver_def,positive_part(a)) = union(identity,a),
inference(theory_normalisation,[status(thm)],[c_4396,c_56,c_54,c_57,c_55]) ).
cnf(c_4418,plain,
union(identity,a) = union(sP1_iProver_def,sP0_iProver_def),
inference(light_normalisation,[status(thm)],[c_4417,c_143]) ).
cnf(c_4419,plain,
union(identity,a) = union(sP0_iProver_def,sP1_iProver_def),
inference(theory_normalisation,[status(thm)],[c_4418,c_56,c_54,c_57,c_55]) ).
cnf(c_4420,plain,
union(identity,a) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_4419,c_766]) ).
cnf(c_4703,plain,
intersection(sP0_iProver_def,negative_part(a)) = intersection(a,identity),
inference(superposition,[status(thm)],[c_259,c_2681]) ).
cnf(c_4712,plain,
union(intersection(X0,a),intersection(a,X0)) = intersection(X0,a),
inference(superposition,[status(thm)],[c_2681,c_89]) ).
cnf(c_4726,plain,
intersection(sP0_iProver_def,negative_part(a)) = intersection(identity,a),
inference(theory_normalisation,[status(thm)],[c_4703,c_56,c_54,c_57,c_55]) ).
cnf(c_4727,plain,
intersection(identity,a) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_4726,c_144,c_735]) ).
cnf(c_16099,plain,
multiply(sP0_iProver_def,union(sP1_iProver_def,identity)) = union(sP2_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_650,c_385]) ).
cnf(c_16116,plain,
multiply(sP0_iProver_def,union(sP1_iProver_def,identity)) = union(sP0_iProver_def,sP2_iProver_def),
inference(theory_normalisation,[status(thm)],[c_16099,c_56,c_54,c_57,c_55]) ).
cnf(c_16117,plain,
multiply(sP0_iProver_def,identity) = union(sP0_iProver_def,sP2_iProver_def),
inference(light_normalisation,[status(thm)],[c_16116,c_586]) ).
cnf(c_16212,plain,
intersection(sP2_iProver_def,multiply(sP0_iProver_def,identity)) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_16117,c_90]) ).
cnf(c_16328,plain,
intersection(sP2_iProver_def,sP0_iProver_def) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_650,c_16212]) ).
cnf(c_16342,plain,
intersection(sP0_iProver_def,sP2_iProver_def) = sP2_iProver_def,
inference(theory_normalisation,[status(thm)],[c_16328,c_56,c_54,c_57,c_55]) ).
cnf(c_23148,plain,
union(X0,union(X1,intersection(X0,X2))) = union(X0,X1),
inference(superposition,[status(thm)],[c_55,c_615]) ).
cnf(c_25386,plain,
multiply(intersection(identity,X0),X0) = multiply(X0,intersection(identity,X0)),
inference(superposition,[status(thm)],[c_666,c_531]) ).
cnf(c_25425,plain,
multiply(negative_part(X0),X0) = multiply(X0,negative_part(X0)),
inference(light_normalisation,[status(thm)],[c_25386,c_259]) ).
cnf(c_26581,plain,
multiply(union(identity,X0),X0) = multiply(X0,union(identity,X0)),
inference(superposition,[status(thm)],[c_667,c_491]) ).
cnf(c_26614,plain,
multiply(positive_part(X0),X0) = multiply(X0,positive_part(X0)),
inference(light_normalisation,[status(thm)],[c_26581,c_263]) ).
cnf(c_44067,plain,
intersection(intersection(a,X0),intersection(X0,a)) = intersection(a,X0),
inference(superposition,[status(thm)],[c_4712,c_90]) ).
cnf(c_44088,plain,
intersection(a,intersection(X0,intersection(X0,a))) = intersection(a,X0),
inference(theory_normalisation,[status(thm)],[c_44067,c_56,c_54,c_57,c_55]) ).
cnf(c_76421,plain,
multiply(a,sP1_iProver_def) = multiply(sP1_iProver_def,a),
inference(superposition,[status(thm)],[c_144,c_25425]) ).
cnf(c_76581,plain,
multiply(a,union(identity,sP1_iProver_def)) = union(a,multiply(sP1_iProver_def,a)),
inference(superposition,[status(thm)],[c_76421,c_667]) ).
cnf(c_76593,plain,
multiply(union(identity,a),sP1_iProver_def) = union(sP1_iProver_def,multiply(sP1_iProver_def,a)),
inference(superposition,[status(thm)],[c_76421,c_491]) ).
cnf(c_76609,plain,
union(sP1_iProver_def,multiply(sP1_iProver_def,a)) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_76593,c_145,c_4420]) ).
cnf(c_76617,plain,
multiply(a,union(sP1_iProver_def,identity)) = union(a,multiply(sP1_iProver_def,a)),
inference(theory_normalisation,[status(thm)],[c_76581,c_56,c_54,c_57,c_55]) ).
cnf(c_76618,plain,
union(a,multiply(sP1_iProver_def,a)) = multiply(a,identity),
inference(light_normalisation,[status(thm)],[c_76617,c_586]) ).
cnf(c_76694,plain,
union(sP1_iProver_def,union(multiply(sP1_iProver_def,a),X0)) = union(sP2_iProver_def,X0),
inference(superposition,[status(thm)],[c_76609,c_57]) ).
cnf(c_76709,plain,
multiply(sP1_iProver_def,union(identity,a)) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_76609,c_667]) ).
cnf(c_76712,plain,
multiply(sP1_iProver_def,sP0_iProver_def) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_76709,c_4420]) ).
cnf(c_78945,plain,
intersection(a,intersection(sP0_iProver_def,a)) = intersection(a,sP0_iProver_def),
inference(superposition,[status(thm)],[c_2590,c_44088]) ).
cnf(c_79030,plain,
intersection(sP0_iProver_def,intersection(a,a)) = intersection(sP0_iProver_def,a),
inference(theory_normalisation,[status(thm)],[c_78945,c_56,c_54,c_57,c_55]) ).
cnf(c_79031,plain,
intersection(sP0_iProver_def,intersection(a,a)) = a,
inference(light_normalisation,[status(thm)],[c_79030,c_577]) ).
cnf(c_79115,plain,
union(intersection(a,a),a) = intersection(a,a),
inference(superposition,[status(thm)],[c_79031,c_89]) ).
cnf(c_79135,plain,
union(a,intersection(a,a)) = intersection(a,a),
inference(theory_normalisation,[status(thm)],[c_79115,c_56,c_54,c_57,c_55]) ).
cnf(c_79452,plain,
intersection(a,a) = union(a,a),
inference(superposition,[status(thm)],[c_79135,c_23148]) ).
cnf(c_82973,plain,
multiply(a,sP0_iProver_def) = multiply(sP0_iProver_def,a),
inference(superposition,[status(thm)],[c_143,c_26614]) ).
cnf(c_83131,plain,
multiply(a,intersection(identity,sP0_iProver_def)) = intersection(a,multiply(sP0_iProver_def,a)),
inference(superposition,[status(thm)],[c_82973,c_666]) ).
cnf(c_83140,plain,
multiply(intersection(identity,a),sP0_iProver_def) = intersection(sP0_iProver_def,multiply(sP0_iProver_def,a)),
inference(superposition,[status(thm)],[c_82973,c_531]) ).
cnf(c_83151,plain,
intersection(sP0_iProver_def,multiply(sP0_iProver_def,a)) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_83140,c_4727,c_76712]) ).
cnf(c_83154,plain,
multiply(a,intersection(sP0_iProver_def,identity)) = intersection(a,multiply(sP0_iProver_def,a)),
inference(theory_normalisation,[status(thm)],[c_83131,c_56,c_54,c_57,c_55]) ).
cnf(c_83155,plain,
intersection(a,multiply(sP0_iProver_def,a)) = multiply(a,identity),
inference(light_normalisation,[status(thm)],[c_83154,c_473]) ).
cnf(c_83177,plain,
intersection(sP0_iProver_def,intersection(multiply(sP0_iProver_def,a),X0)) = intersection(sP2_iProver_def,X0),
inference(superposition,[status(thm)],[c_83151,c_56]) ).
cnf(c_94437,plain,
union(multiply(sP1_iProver_def,a),a) = union(sP2_iProver_def,a),
inference(superposition,[status(thm)],[c_76694,c_2562]) ).
cnf(c_94461,plain,
union(a,multiply(sP1_iProver_def,a)) = union(sP2_iProver_def,a),
inference(theory_normalisation,[status(thm)],[c_94437,c_56,c_54,c_57,c_55]) ).
cnf(c_94462,plain,
multiply(a,identity) = union(sP2_iProver_def,a),
inference(light_normalisation,[status(thm)],[c_94461,c_76618]) ).
cnf(c_94540,plain,
intersection(sP2_iProver_def,multiply(a,identity)) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_94462,c_295]) ).
cnf(c_94541,plain,
union(multiply(a,identity),X0) = union(sP2_iProver_def,union(a,X0)),
inference(superposition,[status(thm)],[c_94462,c_57]) ).
cnf(c_94544,plain,
intersection(a,multiply(a,identity)) = a,
inference(superposition,[status(thm)],[c_94462,c_90]) ).
cnf(c_94703,plain,
intersection(sP2_iProver_def,a) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_650,c_94540]) ).
cnf(c_94772,plain,
union(a,sP2_iProver_def) = a,
inference(superposition,[status(thm)],[c_94703,c_89]) ).
cnf(c_94806,plain,
union(sP2_iProver_def,a) = a,
inference(theory_normalisation,[status(thm)],[c_94772,c_56,c_54,c_57,c_55]) ).
cnf(c_94970,plain,
union(sP2_iProver_def,union(a,X0)) = union(a,X0),
inference(superposition,[status(thm)],[c_94806,c_57]) ).
cnf(c_95034,plain,
union(multiply(a,identity),union(a,X0)) = union(multiply(a,identity),X0),
inference(superposition,[status(thm)],[c_94544,c_354]) ).
cnf(c_95036,plain,
union(multiply(a,identity),a) = multiply(a,identity),
inference(superposition,[status(thm)],[c_94544,c_89]) ).
cnf(c_95066,plain,
union(a,multiply(a,identity)) = multiply(a,identity),
inference(theory_normalisation,[status(thm)],[c_95036,c_56,c_54,c_57,c_55]) ).
cnf(c_95074,plain,
union(a,union(X0,multiply(a,identity))) = union(multiply(a,identity),X0),
inference(theory_normalisation,[status(thm)],[c_95034,c_56,c_54,c_57,c_55]) ).
cnf(c_95075,plain,
union(a,union(X0,multiply(a,identity))) = union(a,X0),
inference(light_normalisation,[status(thm)],[c_95074,c_94541,c_94970]) ).
cnf(c_95813,plain,
union(a,union(X0,multiply(a,identity))) = union(X0,multiply(a,identity)),
inference(superposition,[status(thm)],[c_95066,c_247]) ).
cnf(c_95845,plain,
union(X0,multiply(a,identity)) = union(a,X0),
inference(light_normalisation,[status(thm)],[c_95813,c_95075]) ).
cnf(c_95851,plain,
multiply(a,identity) = union(a,a),
inference(demodulation,[status(thm)],[c_95066,c_95845]) ).
cnf(c_95856,plain,
multiply(a,identity) = intersection(a,a),
inference(demodulation,[status(thm)],[c_79452,c_95851]) ).
cnf(c_95861,plain,
intersection(sP0_iProver_def,multiply(a,identity)) = a,
inference(demodulation,[status(thm)],[c_79031,c_95856]) ).
cnf(c_101664,plain,
intersection(multiply(sP0_iProver_def,a),a) = intersection(sP2_iProver_def,a),
inference(superposition,[status(thm)],[c_83177,c_2590]) ).
cnf(c_101685,plain,
intersection(a,multiply(sP0_iProver_def,a)) = intersection(sP2_iProver_def,a),
inference(theory_normalisation,[status(thm)],[c_101664,c_56,c_54,c_57,c_55]) ).
cnf(c_101686,plain,
multiply(a,identity) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_101685,c_83155,c_94703]) ).
cnf(c_101743,plain,
intersection(sP0_iProver_def,sP2_iProver_def) = a,
inference(demodulation,[status(thm)],[c_95861,c_101686]) ).
cnf(c_101802,plain,
a = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_101743,c_16342]) ).
cnf(c_102003,plain,
sP2_iProver_def != sP2_iProver_def,
inference(demodulation,[status(thm)],[c_146,c_101802]) ).
cnf(c_102004,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_102003]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.15 % Problem : GRP114-1 : TPTP v8.2.0. Released v1.2.0.
% 0.09/0.15 % Command : run_iprover %s %d THM
% 0.15/0.37 % Computer : n022.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu Jun 20 11:01:54 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.23/0.54 Running UEQ theorem proving
% 0.23/0.54 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_j12_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 26.97/4.21 % SZS status Started for theBenchmark.p
% 26.97/4.21 % SZS status Unsatisfiable for theBenchmark.p
% 26.97/4.21
% 26.97/4.21 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 26.97/4.21
% 26.97/4.21 ------ iProver source info
% 26.97/4.21
% 26.97/4.21 git: date: 2024-06-12 09:56:46 +0000
% 26.97/4.21 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 26.97/4.21 git: non_committed_changes: false
% 26.97/4.21
% 26.97/4.21 ------ Parsing...successful
% 26.97/4.21
% 26.97/4.21
% 26.97/4.21
% 26.97/4.21 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 26.97/4.21
% 26.97/4.21 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 26.97/4.21
% 26.97/4.21 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 26.97/4.21 ------ Proving...
% 26.97/4.21 ------ Problem Properties
% 26.97/4.21
% 26.97/4.21
% 26.97/4.21 clauses 24
% 26.97/4.21 conjectures 1
% 26.97/4.21 EPR 1
% 26.97/4.21 Horn 24
% 26.97/4.21 unary 24
% 26.97/4.21 binary 0
% 26.97/4.21 lits 24
% 26.97/4.21 lits eq 24
% 26.97/4.21 fd_pure 0
% 26.97/4.21 fd_pseudo 0
% 26.97/4.21 fd_cond 0
% 26.97/4.21 fd_pseudo_cond 0
% 26.97/4.21 AC symbols 2
% 26.97/4.21
% 26.97/4.21 ------ Input Options Time Limit: Unbounded
% 26.97/4.21
% 26.97/4.21
% 26.97/4.21 ------
% 26.97/4.21 Current options:
% 26.97/4.21 ------
% 26.97/4.21
% 26.97/4.21
% 26.97/4.21
% 26.97/4.21
% 26.97/4.21 ------ Proving...
% 26.97/4.21
% 26.97/4.21
% 26.97/4.21 % SZS status Unsatisfiable for theBenchmark.p
% 26.97/4.21
% 26.97/4.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 26.97/4.21
% 26.97/4.22
%------------------------------------------------------------------------------