TSTP Solution File: GRP179-2 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP179-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n021.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 02:21:37 EDT 2024

% Result   : Unsatisfiable 90.57s 12.19s
% Output   : CNFRefutation 90.57s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    inverse(greatest_lower_bound(a,identity)) != least_upper_bound(inverse(a),identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_p18) ).

cnf(c_50,plain,
    greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',symmetry_of_glb) ).

cnf(c_51,plain,
    least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',symmetry_of_lub) ).

cnf(c_52,plain,
    greatest_lower_bound(greatest_lower_bound(X0,X1),X2) = greatest_lower_bound(X0,greatest_lower_bound(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',associativity_of_glb) ).

cnf(c_53,plain,
    least_upper_bound(least_upper_bound(X0,X1),X2) = least_upper_bound(X0,least_upper_bound(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',associativity_of_lub) ).

cnf(c_55,plain,
    greatest_lower_bound(X0,X0) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',idempotence_of_gld) ).

cnf(c_56,plain,
    least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',lub_absorbtion) ).

cnf(c_57,plain,
    greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',glb_absorbtion) ).

cnf(c_58,plain,
    least_upper_bound(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,least_upper_bound(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',monotony_lub1) ).

cnf(c_59,plain,
    greatest_lower_bound(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,greatest_lower_bound(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',monotony_glb1) ).

cnf(c_60,plain,
    least_upper_bound(multiply(X0,X1),multiply(X2,X1)) = multiply(least_upper_bound(X0,X2),X1),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',monotony_lub2) ).

cnf(c_61,plain,
    greatest_lower_bound(multiply(X0,X1),multiply(X2,X1)) = multiply(greatest_lower_bound(X0,X2),X1),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',monotony_glb2) ).

cnf(c_62,plain,
    multiply(identity,X0) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).

cnf(c_63,plain,
    multiply(inverse(X0),X0) = identity,
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).

cnf(c_64,plain,
    multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).

cnf(c_80,negated_conjecture,
    inverse(greatest_lower_bound(identity,a)) != least_upper_bound(identity,inverse(a)),
    inference(theory_normalisation,[status(thm)],[c_49,c_52,c_50,c_53,c_51]) ).

cnf(c_119,plain,
    greatest_lower_bound(identity,a) = sP0_iProver_def,
    definition ).

cnf(c_120,plain,
    inverse(sP0_iProver_def) = sP1_iProver_def,
    definition ).

cnf(c_121,plain,
    inverse(a) = sP2_iProver_def,
    definition ).

cnf(c_122,plain,
    least_upper_bound(identity,sP2_iProver_def) = sP3_iProver_def,
    definition ).

cnf(c_123,negated_conjecture,
    sP1_iProver_def != sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_80,c_121,c_122,c_119,c_120]) ).

cnf(c_203,plain,
    least_upper_bound(X0,least_upper_bound(X1,X2)) = least_upper_bound(X1,least_upper_bound(X0,X2)),
    inference(superposition,[status(thm)],[c_53,c_51]) ).

cnf(c_204,plain,
    greatest_lower_bound(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(X1,greatest_lower_bound(X0,X2)),
    inference(superposition,[status(thm)],[c_52,c_50]) ).

cnf(c_209,plain,
    least_upper_bound(sP2_iProver_def,identity) = sP3_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_122,c_53,c_51,c_52,c_50]) ).

cnf(c_215,plain,
    least_upper_bound(sP2_iProver_def,least_upper_bound(X0,identity)) = least_upper_bound(X0,sP3_iProver_def),
    inference(superposition,[status(thm)],[c_209,c_203]) ).

cnf(c_224,plain,
    multiply(sP2_iProver_def,a) = identity,
    inference(superposition,[status(thm)],[c_121,c_63]) ).

cnf(c_225,plain,
    multiply(sP1_iProver_def,sP0_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_120,c_63]) ).

cnf(c_226,plain,
    least_upper_bound(X0,greatest_lower_bound(X1,X0)) = X0,
    inference(superposition,[status(thm)],[c_50,c_56]) ).

cnf(c_229,plain,
    least_upper_bound(identity,sP0_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_119,c_56]) ).

cnf(c_232,plain,
    least_upper_bound(sP0_iProver_def,identity) = identity,
    inference(theory_normalisation,[status(thm)],[c_229,c_53,c_51,c_52,c_50]) ).

cnf(c_237,plain,
    greatest_lower_bound(X0,least_upper_bound(X1,X0)) = X0,
    inference(superposition,[status(thm)],[c_51,c_57]) ).

cnf(c_282,plain,
    greatest_lower_bound(identity,sP3_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_209,c_237]) ).

cnf(c_288,plain,
    greatest_lower_bound(sP3_iProver_def,identity) = identity,
    inference(theory_normalisation,[status(thm)],[c_282,c_53,c_51,c_52,c_50]) ).

cnf(c_308,plain,
    greatest_lower_bound(identity,greatest_lower_bound(X0,a)) = greatest_lower_bound(X0,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_119,c_204]) ).

cnf(c_377,plain,
    least_upper_bound(X0,greatest_lower_bound(X1,greatest_lower_bound(X2,X0))) = X0,
    inference(superposition,[status(thm)],[c_52,c_226]) ).

cnf(c_426,plain,
    multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[status(thm)],[c_63,c_64]) ).

cnf(c_427,plain,
    multiply(sP2_iProver_def,multiply(a,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_224,c_64]) ).

cnf(c_428,plain,
    multiply(sP1_iProver_def,multiply(sP0_iProver_def,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_225,c_64]) ).

cnf(c_429,plain,
    multiply(sP1_iProver_def,multiply(sP0_iProver_def,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_428,c_62]) ).

cnf(c_430,plain,
    multiply(sP2_iProver_def,multiply(a,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_427,c_62]) ).

cnf(c_444,plain,
    multiply(inverse(X0),least_upper_bound(X0,X1)) = least_upper_bound(identity,multiply(inverse(X0),X1)),
    inference(superposition,[status(thm)],[c_63,c_58]) ).

cnf(c_446,plain,
    least_upper_bound(identity,multiply(sP2_iProver_def,X0)) = multiply(sP2_iProver_def,least_upper_bound(a,X0)),
    inference(superposition,[status(thm)],[c_224,c_58]) ).

cnf(c_447,plain,
    least_upper_bound(identity,multiply(sP1_iProver_def,X0)) = multiply(sP1_iProver_def,least_upper_bound(sP0_iProver_def,X0)),
    inference(superposition,[status(thm)],[c_225,c_58]) ).

cnf(c_733,plain,
    greatest_lower_bound(identity,multiply(sP2_iProver_def,X0)) = multiply(sP2_iProver_def,greatest_lower_bound(a,X0)),
    inference(superposition,[status(thm)],[c_224,c_59]) ).

cnf(c_809,plain,
    least_upper_bound(X0,multiply(X1,X0)) = multiply(least_upper_bound(identity,X1),X0),
    inference(superposition,[status(thm)],[c_62,c_60]) ).

cnf(c_813,plain,
    least_upper_bound(identity,multiply(X0,sP0_iProver_def)) = multiply(least_upper_bound(sP1_iProver_def,X0),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_225,c_60]) ).

cnf(c_909,plain,
    greatest_lower_bound(X0,multiply(X1,X0)) = multiply(greatest_lower_bound(identity,X1),X0),
    inference(superposition,[status(thm)],[c_62,c_61]) ).

cnf(c_913,plain,
    greatest_lower_bound(identity,multiply(X0,sP0_iProver_def)) = multiply(greatest_lower_bound(sP1_iProver_def,X0),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_225,c_61]) ).

cnf(c_917,plain,
    multiply(greatest_lower_bound(X0,inverse(X1)),X1) = greatest_lower_bound(multiply(X0,X1),identity),
    inference(superposition,[status(thm)],[c_63,c_61]) ).

cnf(c_939,plain,
    multiply(greatest_lower_bound(X0,inverse(X1)),X1) = greatest_lower_bound(identity,multiply(X0,X1)),
    inference(theory_normalisation,[status(thm)],[c_917,c_53,c_51,c_52,c_50]) ).

cnf(c_7409,plain,
    multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_426,c_62]) ).

cnf(c_7413,plain,
    multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[status(thm)],[c_63,c_7409]) ).

cnf(c_7418,plain,
    multiply(inverse(sP2_iProver_def),X0) = multiply(a,X0),
    inference(superposition,[status(thm)],[c_430,c_7409]) ).

cnf(c_7420,plain,
    multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_7409,c_7409]) ).

cnf(c_7497,plain,
    multiply(X0,identity) = X0,
    inference(demodulation,[status(thm)],[c_7413,c_7420]) ).

cnf(c_7504,plain,
    greatest_lower_bound(X0,multiply(X0,X1)) = multiply(X0,greatest_lower_bound(identity,X1)),
    inference(superposition,[status(thm)],[c_7497,c_59]) ).

cnf(c_7569,plain,
    multiply(a,multiply(sP2_iProver_def,X0)) = X0,
    inference(superposition,[status(thm)],[c_7418,c_7409]) ).

cnf(c_8776,plain,
    inverse(inverse(X0)) = multiply(X0,identity),
    inference(superposition,[status(thm)],[c_7420,c_7497]) ).

cnf(c_8777,plain,
    inverse(inverse(X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_8776,c_7497]) ).

cnf(c_9911,plain,
    multiply(sP2_iProver_def,least_upper_bound(a,identity)) = least_upper_bound(identity,sP2_iProver_def),
    inference(superposition,[status(thm)],[c_7497,c_446]) ).

cnf(c_9935,plain,
    multiply(sP2_iProver_def,least_upper_bound(identity,a)) = least_upper_bound(sP2_iProver_def,identity),
    inference(theory_normalisation,[status(thm)],[c_9911,c_53,c_51,c_52,c_50]) ).

cnf(c_9936,plain,
    multiply(sP2_iProver_def,least_upper_bound(identity,a)) = sP3_iProver_def,
    inference(light_normalisation,[status(thm)],[c_9935,c_209]) ).

cnf(c_10843,plain,
    least_upper_bound(identity,a) = multiply(a,sP3_iProver_def),
    inference(superposition,[status(thm)],[c_9936,c_7569]) ).

cnf(c_10866,plain,
    greatest_lower_bound(identity,multiply(a,sP3_iProver_def)) = identity,
    inference(superposition,[status(thm)],[c_10843,c_57]) ).

cnf(c_11730,plain,
    multiply(sP1_iProver_def,least_upper_bound(sP0_iProver_def,identity)) = least_upper_bound(identity,sP1_iProver_def),
    inference(superposition,[status(thm)],[c_7497,c_447]) ).

cnf(c_11754,plain,
    multiply(sP1_iProver_def,least_upper_bound(sP0_iProver_def,identity)) = least_upper_bound(sP1_iProver_def,identity),
    inference(theory_normalisation,[status(thm)],[c_11730,c_53,c_51,c_52,c_50]) ).

cnf(c_11755,plain,
    least_upper_bound(sP1_iProver_def,identity) = multiply(sP1_iProver_def,identity),
    inference(light_normalisation,[status(thm)],[c_11754,c_232]) ).

cnf(c_11948,plain,
    least_upper_bound(sP1_iProver_def,identity) = sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_11755,c_7497]) ).

cnf(c_11967,plain,
    least_upper_bound(sP1_iProver_def,sP3_iProver_def) = least_upper_bound(sP2_iProver_def,sP1_iProver_def),
    inference(superposition,[status(thm)],[c_11948,c_215]) ).

cnf(c_11970,plain,
    least_upper_bound(sP1_iProver_def,sP2_iProver_def) = least_upper_bound(sP1_iProver_def,sP3_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_11967,c_53,c_51,c_52,c_50]) ).

cnf(c_12337,plain,
    greatest_lower_bound(sP3_iProver_def,least_upper_bound(sP1_iProver_def,sP2_iProver_def)) = sP3_iProver_def,
    inference(superposition,[status(thm)],[c_11970,c_237]) ).

cnf(c_19724,plain,
    least_upper_bound(identity,multiply(inverse(X0),greatest_lower_bound(X0,X1))) = multiply(inverse(X0),X0),
    inference(superposition,[status(thm)],[c_56,c_444]) ).

cnf(c_19743,plain,
    multiply(inverse(X0),least_upper_bound(X0,identity)) = least_upper_bound(identity,inverse(X0)),
    inference(superposition,[status(thm)],[c_7497,c_444]) ).

cnf(c_19795,plain,
    least_upper_bound(identity,multiply(inverse(X0),greatest_lower_bound(X0,X1))) = identity,
    inference(light_normalisation,[status(thm)],[c_19724,c_63]) ).

cnf(c_22784,plain,
    least_upper_bound(identity,multiply(inverse(sP3_iProver_def),identity)) = identity,
    inference(superposition,[status(thm)],[c_288,c_19795]) ).

cnf(c_23049,plain,
    least_upper_bound(identity,inverse(sP3_iProver_def)) = identity,
    inference(demodulation,[status(thm)],[c_22784,c_444,c_19743]) ).

cnf(c_23060,plain,
    greatest_lower_bound(inverse(sP3_iProver_def),identity) = inverse(sP3_iProver_def),
    inference(superposition,[status(thm)],[c_23049,c_237]) ).

cnf(c_23079,plain,
    greatest_lower_bound(identity,inverse(sP3_iProver_def)) = inverse(sP3_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_23060,c_53,c_51,c_52,c_50]) ).

cnf(c_23210,plain,
    greatest_lower_bound(identity,greatest_lower_bound(inverse(sP3_iProver_def),X0)) = greatest_lower_bound(inverse(sP3_iProver_def),X0),
    inference(superposition,[status(thm)],[c_23079,c_52]) ).

cnf(c_33144,plain,
    multiply(sP2_iProver_def,greatest_lower_bound(a,identity)) = greatest_lower_bound(identity,sP2_iProver_def),
    inference(superposition,[status(thm)],[c_7497,c_733]) ).

cnf(c_33176,plain,
    multiply(sP2_iProver_def,greatest_lower_bound(identity,a)) = greatest_lower_bound(sP2_iProver_def,identity),
    inference(theory_normalisation,[status(thm)],[c_33144,c_53,c_51,c_52,c_50]) ).

cnf(c_33177,plain,
    greatest_lower_bound(sP2_iProver_def,identity) = multiply(sP2_iProver_def,sP0_iProver_def),
    inference(light_normalisation,[status(thm)],[c_33176,c_119]) ).

cnf(c_33588,plain,
    least_upper_bound(identity,greatest_lower_bound(X0,multiply(sP2_iProver_def,sP0_iProver_def))) = identity,
    inference(superposition,[status(thm)],[c_33177,c_377]) ).

cnf(c_39128,plain,
    multiply(least_upper_bound(identity,sP2_iProver_def),a) = least_upper_bound(a,identity),
    inference(superposition,[status(thm)],[c_224,c_809]) ).

cnf(c_39275,plain,
    multiply(least_upper_bound(sP2_iProver_def,identity),a) = least_upper_bound(identity,a),
    inference(theory_normalisation,[status(thm)],[c_39128,c_53,c_51,c_52,c_50]) ).

cnf(c_39276,plain,
    multiply(a,sP3_iProver_def) = multiply(sP3_iProver_def,a),
    inference(light_normalisation,[status(thm)],[c_39275,c_209,c_10843]) ).

cnf(c_41082,plain,
    least_upper_bound(identity,multiply(greatest_lower_bound(X0,sP2_iProver_def),sP0_iProver_def)) = identity,
    inference(superposition,[status(thm)],[c_61,c_33588]) ).

cnf(c_41874,plain,
    multiply(least_upper_bound(sP1_iProver_def,greatest_lower_bound(X0,sP2_iProver_def)),sP0_iProver_def) = identity,
    inference(demodulation,[status(thm)],[c_41082,c_813]) ).

cnf(c_41882,plain,
    multiply(least_upper_bound(sP1_iProver_def,sP2_iProver_def),sP0_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_55,c_41874]) ).

cnf(c_42056,plain,
    multiply(inverse(least_upper_bound(sP1_iProver_def,sP2_iProver_def)),identity) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_41882,c_7409]) ).

cnf(c_42320,plain,
    inverse(least_upper_bound(sP1_iProver_def,sP2_iProver_def)) = sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_42056,c_7497]) ).

cnf(c_42329,plain,
    least_upper_bound(sP1_iProver_def,sP2_iProver_def) = inverse(sP0_iProver_def),
    inference(superposition,[status(thm)],[c_42320,c_8777]) ).

cnf(c_42339,plain,
    least_upper_bound(sP1_iProver_def,sP2_iProver_def) = sP1_iProver_def,
    inference(light_normalisation,[status(thm)],[c_42329,c_120]) ).

cnf(c_42350,plain,
    greatest_lower_bound(sP3_iProver_def,sP1_iProver_def) = sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_12337,c_42339]) ).

cnf(c_42352,plain,
    greatest_lower_bound(sP1_iProver_def,sP3_iProver_def) = sP3_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_42350,c_53,c_51,c_52,c_50]) ).

cnf(c_80442,plain,
    greatest_lower_bound(sP3_iProver_def,multiply(sP3_iProver_def,a)) = multiply(greatest_lower_bound(identity,a),sP3_iProver_def),
    inference(superposition,[status(thm)],[c_39276,c_909]) ).

cnf(c_80580,plain,
    greatest_lower_bound(sP3_iProver_def,multiply(sP3_iProver_def,a)) = multiply(sP0_iProver_def,sP3_iProver_def),
    inference(light_normalisation,[status(thm)],[c_80442,c_119]) ).

cnf(c_90317,plain,
    multiply(sP0_iProver_def,sP3_iProver_def) = multiply(sP3_iProver_def,sP0_iProver_def),
    inference(demodulation,[status(thm)],[c_80580,c_119,c_7504]) ).

cnf(c_90324,plain,
    multiply(inverse(sP3_iProver_def),multiply(sP0_iProver_def,sP3_iProver_def)) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_90317,c_7409]) ).

cnf(c_90346,plain,
    greatest_lower_bound(identity,multiply(sP0_iProver_def,sP3_iProver_def)) = multiply(greatest_lower_bound(sP1_iProver_def,sP3_iProver_def),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_90317,c_913]) ).

cnf(c_90353,plain,
    greatest_lower_bound(identity,multiply(sP0_iProver_def,sP3_iProver_def)) = multiply(sP0_iProver_def,sP3_iProver_def),
    inference(light_normalisation,[status(thm)],[c_90346,c_42352,c_90317]) ).

cnf(c_111812,plain,
    multiply(inverse(sP3_iProver_def),greatest_lower_bound(identity,multiply(sP0_iProver_def,sP3_iProver_def))) = greatest_lower_bound(inverse(sP3_iProver_def),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_90324,c_7504]) ).

cnf(c_112025,plain,
    multiply(inverse(sP3_iProver_def),greatest_lower_bound(identity,multiply(sP0_iProver_def,sP3_iProver_def))) = greatest_lower_bound(sP0_iProver_def,inverse(sP3_iProver_def)),
    inference(theory_normalisation,[status(thm)],[c_111812,c_53,c_51,c_52,c_50]) ).

cnf(c_112026,plain,
    greatest_lower_bound(sP0_iProver_def,inverse(sP3_iProver_def)) = sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_112025,c_90324,c_90353]) ).

cnf(c_245668,plain,
    greatest_lower_bound(inverse(sP3_iProver_def),a) = greatest_lower_bound(inverse(sP3_iProver_def),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_23210,c_308]) ).

cnf(c_245764,plain,
    greatest_lower_bound(a,inverse(sP3_iProver_def)) = greatest_lower_bound(sP0_iProver_def,inverse(sP3_iProver_def)),
    inference(theory_normalisation,[status(thm)],[c_245668,c_53,c_51,c_52,c_50]) ).

cnf(c_245765,plain,
    greatest_lower_bound(a,inverse(sP3_iProver_def)) = sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_245764,c_112026]) ).

cnf(c_246668,plain,
    greatest_lower_bound(identity,multiply(a,sP3_iProver_def)) = multiply(sP0_iProver_def,sP3_iProver_def),
    inference(superposition,[status(thm)],[c_245765,c_939]) ).

cnf(c_246703,plain,
    multiply(sP0_iProver_def,sP3_iProver_def) = identity,
    inference(light_normalisation,[status(thm)],[c_246668,c_10866]) ).

cnf(c_246808,plain,
    multiply(sP1_iProver_def,identity) = sP3_iProver_def,
    inference(superposition,[status(thm)],[c_246703,c_429]) ).

cnf(c_247222,plain,
    sP1_iProver_def = sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_246808,c_7497]) ).

cnf(c_247223,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_247222,c_123]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : GRP179-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.12/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n021.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Fri May  3 00:02:13 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.20/0.48  Running UEQ theorem proving
% 0.20/0.48  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
% 90.57/12.19  % SZS status Started for theBenchmark.p
% 90.57/12.19  % SZS status Unsatisfiable for theBenchmark.p
% 90.57/12.19  
% 90.57/12.19  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 90.57/12.19  
% 90.57/12.19  ------  iProver source info
% 90.57/12.19  
% 90.57/12.19  git: date: 2024-05-02 19:28:25 +0000
% 90.57/12.19  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 90.57/12.19  git: non_committed_changes: false
% 90.57/12.19  
% 90.57/12.19  ------ Parsing...successful
% 90.57/12.19  
% 90.57/12.19  
% 90.57/12.19  
% 90.57/12.19  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 90.57/12.19  
% 90.57/12.19  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 90.57/12.19  
% 90.57/12.19  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 90.57/12.19  ------ Proving...
% 90.57/12.19  ------ Problem Properties 
% 90.57/12.19  
% 90.57/12.19  
% 90.57/12.19  clauses                                 20
% 90.57/12.19  conjectures                             1
% 90.57/12.19  EPR                                     1
% 90.57/12.19  Horn                                    20
% 90.57/12.19  unary                                   20
% 90.57/12.19  binary                                  0
% 90.57/12.19  lits                                    20
% 90.57/12.19  lits eq                                 20
% 90.57/12.19  fd_pure                                 0
% 90.57/12.19  fd_pseudo                               0
% 90.57/12.19  fd_cond                                 0
% 90.57/12.19  fd_pseudo_cond                          0
% 90.57/12.19  AC symbols                              2
% 90.57/12.19  
% 90.57/12.19  ------ Input Options Time Limit: Unbounded
% 90.57/12.19  
% 90.57/12.19  
% 90.57/12.19  ------ 
% 90.57/12.19  Current options:
% 90.57/12.19  ------ 
% 90.57/12.19  
% 90.57/12.19  
% 90.57/12.19  
% 90.57/12.19  
% 90.57/12.19  ------ Proving...
% 90.57/12.19  
% 90.57/12.19  
% 90.57/12.19  % SZS status Unsatisfiable for theBenchmark.p
% 90.57/12.19  
% 90.57/12.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 90.57/12.19  
% 90.57/12.20  
%------------------------------------------------------------------------------