TSTP Solution File: GRP486-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP486-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May  3 02:22:43 EDT 2024

% Result   : Unsatisfiable 7.54s 1.69s
% Output   : CNFRefutation 7.54s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X1,identity))),double_divide(identity,identity)) = X2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).

cnf(c_50,plain,
    double_divide(double_divide(X0,X1),identity) = multiply(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).

cnf(c_51,plain,
    double_divide(X0,identity) = inverse(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).

cnf(c_52,plain,
    double_divide(X0,inverse(X0)) = identity,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).

cnf(c_53,negated_conjecture,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).

cnf(c_68,plain,
    inverse(double_divide(X0,X1)) = multiply(X1,X0),
    inference(demodulation,[status(thm)],[c_50,c_51]) ).

cnf(c_69,plain,
    double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),inverse(X1))),inverse(identity)) = X2,
    inference(demodulation,[status(thm)],[c_49,c_51]) ).

cnf(c_77,plain,
    multiply(a3,b3) = sP0_iProver_def,
    definition ).

cnf(c_78,plain,
    multiply(sP0_iProver_def,c3) = sP1_iProver_def,
    definition ).

cnf(c_79,plain,
    multiply(b3,c3) = sP2_iProver_def,
    definition ).

cnf(c_80,plain,
    multiply(a3,sP2_iProver_def) = sP3_iProver_def,
    definition ).

cnf(c_81,negated_conjecture,
    sP1_iProver_def != sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_53,c_79,c_80,c_77,c_78]) ).

cnf(c_133,plain,
    multiply(identity,X0) = inverse(inverse(X0)),
    inference(superposition,[status(thm)],[c_51,c_68]) ).

cnf(c_134,plain,
    multiply(inverse(X0),X0) = inverse(identity),
    inference(superposition,[status(thm)],[c_52,c_68]) ).

cnf(c_135,plain,
    double_divide(double_divide(X0,X1),multiply(X1,X0)) = identity,
    inference(superposition,[status(thm)],[c_68,c_52]) ).

cnf(c_139,plain,
    multiply(identity,double_divide(X0,X1)) = inverse(multiply(X1,X0)),
    inference(superposition,[status(thm)],[c_68,c_133]) ).

cnf(c_140,plain,
    multiply(identity,inverse(X0)) = inverse(multiply(identity,X0)),
    inference(superposition,[status(thm)],[c_133,c_133]) ).

cnf(c_142,plain,
    double_divide(inverse(X0),multiply(identity,X0)) = identity,
    inference(superposition,[status(thm)],[c_133,c_52]) ).

cnf(c_147,plain,
    double_divide(double_divide(X0,double_divide(inverse(double_divide(X0,X1)),inverse(X1))),inverse(identity)) = identity,
    inference(superposition,[status(thm)],[c_51,c_69]) ).

cnf(c_148,plain,
    double_divide(double_divide(X0,double_divide(identity,inverse(X1))),inverse(identity)) = inverse(double_divide(X0,X1)),
    inference(superposition,[status(thm)],[c_52,c_69]) ).

cnf(c_150,plain,
    double_divide(double_divide(X0,double_divide(double_divide(inverse(X0),X1),inverse(identity))),inverse(identity)) = X1,
    inference(superposition,[status(thm)],[c_51,c_69]) ).

cnf(c_151,plain,
    double_divide(double_divide(X0,double_divide(double_divide(identity,X1),inverse(inverse(X0)))),inverse(identity)) = X1,
    inference(superposition,[status(thm)],[c_52,c_69]) ).

cnf(c_154,plain,
    double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,inverse(X1)),X2),multiply(identity,X1))),inverse(identity)) = X2,
    inference(superposition,[status(thm)],[c_133,c_69]) ).

cnf(c_159,plain,
    double_divide(double_divide(X0,double_divide(double_divide(identity,X1),multiply(identity,X0))),inverse(identity)) = X1,
    inference(light_normalisation,[status(thm)],[c_151,c_133]) ).

cnf(c_160,plain,
    double_divide(double_divide(X0,double_divide(identity,inverse(X1))),inverse(identity)) = multiply(X1,X0),
    inference(light_normalisation,[status(thm)],[c_148,c_68]) ).

cnf(c_161,plain,
    double_divide(double_divide(X0,double_divide(multiply(X1,X0),inverse(X1))),inverse(identity)) = identity,
    inference(light_normalisation,[status(thm)],[c_147,c_68]) ).

cnf(c_174,plain,
    multiply(multiply(X0,X1),double_divide(X1,X0)) = inverse(identity),
    inference(superposition,[status(thm)],[c_68,c_134]) ).

cnf(c_181,plain,
    double_divide(multiply(identity,X0),multiply(identity,inverse(X0))) = identity,
    inference(superposition,[status(thm)],[c_133,c_142]) ).

cnf(c_205,plain,
    double_divide(double_divide(double_divide(X0,X1),double_divide(double_divide(identity,X2),inverse(multiply(X1,X0)))),inverse(identity)) = X2,
    inference(superposition,[status(thm)],[c_135,c_69]) ).

cnf(c_292,plain,
    multiply(identity,multiply(identity,X0)) = inverse(multiply(identity,inverse(X0))),
    inference(superposition,[status(thm)],[c_140,c_133]) ).

cnf(c_386,plain,
    double_divide(double_divide(multiply(identity,X0),double_divide(double_divide(identity,X1),inverse(multiply(identity,inverse(X0))))),inverse(identity)) = X1,
    inference(superposition,[status(thm)],[c_181,c_69]) ).

cnf(c_393,plain,
    double_divide(double_divide(multiply(identity,X0),double_divide(double_divide(identity,X1),multiply(identity,multiply(identity,X0)))),inverse(identity)) = X1,
    inference(light_normalisation,[status(thm)],[c_386,c_292]) ).

cnf(c_424,plain,
    double_divide(double_divide(X0,identity),inverse(identity)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_52,c_160]) ).

cnf(c_434,plain,
    double_divide(double_divide(X0,multiply(X1,double_divide(X0,identity))),inverse(identity)) = double_divide(identity,inverse(X1)),
    inference(superposition,[status(thm)],[c_160,c_69]) ).

cnf(c_435,plain,
    double_divide(inverse(X0),inverse(identity)) = multiply(identity,X0),
    inference(light_normalisation,[status(thm)],[c_424,c_51]) ).

cnf(c_436,plain,
    double_divide(double_divide(X0,multiply(X1,inverse(X0))),inverse(identity)) = double_divide(identity,inverse(X1)),
    inference(light_normalisation,[status(thm)],[c_434,c_51]) ).

cnf(c_487,plain,
    double_divide(multiply(X0,X1),inverse(identity)) = multiply(identity,double_divide(X1,X0)),
    inference(superposition,[status(thm)],[c_68,c_435]) ).

cnf(c_488,plain,
    double_divide(multiply(identity,X0),inverse(identity)) = multiply(identity,inverse(X0)),
    inference(superposition,[status(thm)],[c_133,c_435]) ).

cnf(c_654,plain,
    double_divide(multiply(X0,X1),inverse(identity)) = inverse(multiply(X0,X1)),
    inference(demodulation,[status(thm)],[c_487,c_139]) ).

cnf(c_928,plain,
    double_divide(double_divide(double_divide(double_divide(X0,identity),inverse(X1)),X2),multiply(identity,X1)) = double_divide(double_divide(X0,X2),inverse(identity)),
    inference(superposition,[status(thm)],[c_154,c_69]) ).

cnf(c_933,plain,
    double_divide(double_divide(double_divide(inverse(X0),inverse(X1)),X2),multiply(identity,X1)) = double_divide(double_divide(X0,X2),inverse(identity)),
    inference(light_normalisation,[status(thm)],[c_928,c_51]) ).

cnf(c_1038,plain,
    double_divide(double_divide(X0,inverse(multiply(identity,X0))),inverse(identity)) = identity,
    inference(superposition,[status(thm)],[c_654,c_161]) ).

cnf(c_1071,plain,
    double_divide(double_divide(X0,multiply(identity,inverse(X0))),inverse(identity)) = identity,
    inference(light_normalisation,[status(thm)],[c_1038,c_140]) ).

cnf(c_1747,plain,
    double_divide(double_divide(identity,X0),multiply(identity,inverse(X1))) = double_divide(double_divide(X1,X0),inverse(identity)),
    inference(superposition,[status(thm)],[c_159,c_150]) ).

cnf(c_1752,plain,
    double_divide(double_divide(X0,double_divide(multiply(identity,X0),inverse(identity))),inverse(identity)) = inverse(identity),
    inference(superposition,[status(thm)],[c_435,c_150]) ).

cnf(c_1772,plain,
    inverse(identity) = identity,
    inference(light_normalisation,[status(thm)],[c_1752,c_488,c_1071]) ).

cnf(c_1808,plain,
    multiply(multiply(X0,X1),double_divide(X1,X0)) = identity,
    inference(demodulation,[status(thm)],[c_174,c_1772]) ).

cnf(c_1814,plain,
    multiply(inverse(X0),X0) = identity,
    inference(demodulation,[status(thm)],[c_134,c_1772]) ).

cnf(c_1905,plain,
    multiply(identity,identity) = identity,
    inference(superposition,[status(thm)],[c_1772,c_133]) ).

cnf(c_1906,plain,
    double_divide(identity,identity) = identity,
    inference(superposition,[status(thm)],[c_1772,c_52]) ).

cnf(c_2468,plain,
    double_divide(double_divide(double_divide(X0,X1),double_divide(double_divide(identity,X2),inverse(multiply(X1,X0)))),identity) = X2,
    inference(light_normalisation,[status(thm)],[c_205,c_1772]) ).

cnf(c_2469,plain,
    multiply(double_divide(double_divide(identity,X0),inverse(multiply(X1,X2))),double_divide(X2,X1)) = X0,
    inference(demodulation,[status(thm)],[c_2468,c_51,c_68]) ).

cnf(c_2472,plain,
    multiply(double_divide(double_divide(identity,X0),multiply(identity,inverse(X1))),double_divide(X1,identity)) = X0,
    inference(superposition,[status(thm)],[c_140,c_2469]) ).

cnf(c_2476,plain,
    multiply(double_divide(double_divide(identity,X0),inverse(identity)),double_divide(identity,identity)) = X0,
    inference(superposition,[status(thm)],[c_1905,c_2469]) ).

cnf(c_2516,plain,
    multiply(double_divide(double_divide(identity,X0),identity),identity) = X0,
    inference(light_normalisation,[status(thm)],[c_2476,c_1772,c_1906]) ).

cnf(c_2528,plain,
    multiply(double_divide(double_divide(X0,X1),identity),double_divide(X0,identity)) = X1,
    inference(light_normalisation,[status(thm)],[c_2472,c_1747,c_1772]) ).

cnf(c_2529,plain,
    multiply(double_divide(double_divide(X0,X1),identity),inverse(X0)) = X1,
    inference(light_normalisation,[status(thm)],[c_2528,c_51]) ).

cnf(c_2746,plain,
    multiply(multiply(X0,identity),identity) = X0,
    inference(demodulation,[status(thm)],[c_2516,c_51,c_68]) ).

cnf(c_2748,plain,
    multiply(X0,double_divide(identity,multiply(X0,identity))) = identity,
    inference(superposition,[status(thm)],[c_2746,c_1808]) ).

cnf(c_2887,plain,
    multiply(multiply(X0,X1),inverse(X1)) = X0,
    inference(demodulation,[status(thm)],[c_2529,c_51,c_68]) ).

cnf(c_2894,plain,
    multiply(identity,inverse(X0)) = inverse(X0),
    inference(superposition,[status(thm)],[c_1814,c_2887]) ).

cnf(c_2919,plain,
    multiply(multiply(X0,double_divide(X1,X2)),multiply(X2,X1)) = X0,
    inference(superposition,[status(thm)],[c_68,c_2887]) ).

cnf(c_3290,plain,
    multiply(identity,multiply(identity,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_133,c_2894]) ).

cnf(c_3345,plain,
    multiply(identity,multiply(multiply(X0,identity),identity)) = X0,
    inference(superposition,[status(thm)],[c_2748,c_2919]) ).

cnf(c_3403,plain,
    multiply(identity,X0) = X0,
    inference(light_normalisation,[status(thm)],[c_3345,c_2746]) ).

cnf(c_3426,plain,
    double_divide(inverse(X0),X0) = identity,
    inference(demodulation,[status(thm)],[c_142,c_3403]) ).

cnf(c_3427,plain,
    inverse(inverse(X0)) = X0,
    inference(demodulation,[status(thm)],[c_133,c_3403]) ).

cnf(c_3428,plain,
    inverse(multiply(X0,X1)) = double_divide(X1,X0),
    inference(demodulation,[status(thm)],[c_139,c_3403]) ).

cnf(c_3732,plain,
    multiply(multiply(X0,inverse(X1)),X1) = X0,
    inference(superposition,[status(thm)],[c_3427,c_2887]) ).

cnf(c_3747,plain,
    double_divide(multiply(X0,X1),double_divide(X1,X0)) = identity,
    inference(superposition,[status(thm)],[c_68,c_3426]) ).

cnf(c_4234,plain,
    double_divide(c3,sP0_iProver_def) = inverse(sP1_iProver_def),
    inference(superposition,[status(thm)],[c_78,c_3428]) ).

cnf(c_4235,plain,
    double_divide(sP2_iProver_def,a3) = inverse(sP3_iProver_def),
    inference(superposition,[status(thm)],[c_80,c_3428]) ).

cnf(c_4357,plain,
    double_divide(double_divide(X0,multiply(X1,inverse(X0))),identity) = double_divide(identity,inverse(X1)),
    inference(light_normalisation,[status(thm)],[c_436,c_1772]) ).

cnf(c_4358,plain,
    double_divide(identity,inverse(X0)) = X0,
    inference(demodulation,[status(thm)],[c_4357,c_51,c_68,c_3732]) ).

cnf(c_4377,plain,
    double_divide(identity,X0) = inverse(X0),
    inference(superposition,[status(thm)],[c_3427,c_4358]) ).

cnf(c_4912,plain,
    double_divide(double_divide(X0,double_divide(double_divide(identity,X1),X0)),identity) = X1,
    inference(light_normalisation,[status(thm)],[c_393,c_1772,c_3290,c_3403]) ).

cnf(c_4913,plain,
    multiply(double_divide(inverse(X0),X1),X1) = X0,
    inference(demodulation,[status(thm)],[c_4912,c_51,c_68,c_4377]) ).

cnf(c_4924,plain,
    multiply(double_divide(X0,X1),X1) = inverse(X0),
    inference(superposition,[status(thm)],[c_3427,c_4913]) ).

cnf(c_4928,plain,
    double_divide(inverse(X0),X1) = multiply(X0,inverse(X1)),
    inference(superposition,[status(thm)],[c_4913,c_2887]) ).

cnf(c_4932,plain,
    double_divide(inverse(X0),inverse(X1)) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_4913,c_3732]) ).

cnf(c_4941,plain,
    double_divide(inverse(multiply(X0,X1)),X1) = X0,
    inference(demodulation,[status(thm)],[c_2887,c_4928]) ).

cnf(c_4946,plain,
    double_divide(double_divide(X0,X1),X0) = X1,
    inference(light_normalisation,[status(thm)],[c_4941,c_3428]) ).

cnf(c_5033,plain,
    double_divide(X0,double_divide(X1,X0)) = X1,
    inference(superposition,[status(thm)],[c_4946,c_4946]) ).

cnf(c_5241,plain,
    double_divide(double_divide(X0,X1),identity) = multiply(X1,X0),
    inference(superposition,[status(thm)],[c_3747,c_5033]) ).

cnf(c_6732,plain,
    double_divide(double_divide(multiply(X0,X1),X2),multiply(identity,X1)) = double_divide(double_divide(X0,X2),identity),
    inference(light_normalisation,[status(thm)],[c_933,c_1772,c_4932]) ).

cnf(c_6733,plain,
    double_divide(double_divide(multiply(X0,X1),X2),X1) = multiply(X2,X0),
    inference(demodulation,[status(thm)],[c_6732,c_5241,c_3403]) ).

cnf(c_6741,plain,
    double_divide(double_divide(sP2_iProver_def,X0),c3) = multiply(X0,b3),
    inference(superposition,[status(thm)],[c_79,c_6733]) ).

cnf(c_6912,plain,
    double_divide(inverse(sP3_iProver_def),c3) = multiply(a3,b3),
    inference(superposition,[status(thm)],[c_4235,c_6741]) ).

cnf(c_6922,plain,
    double_divide(inverse(sP3_iProver_def),c3) = sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_6912,c_77]) ).

cnf(c_6932,plain,
    multiply(sP0_iProver_def,c3) = inverse(inverse(sP3_iProver_def)),
    inference(superposition,[status(thm)],[c_6922,c_4924]) ).

cnf(c_6937,plain,
    double_divide(c3,sP0_iProver_def) = inverse(sP3_iProver_def),
    inference(superposition,[status(thm)],[c_6922,c_5033]) ).

cnf(c_6939,plain,
    inverse(sP1_iProver_def) = inverse(sP3_iProver_def),
    inference(light_normalisation,[status(thm)],[c_6937,c_4234]) ).

cnf(c_6940,plain,
    inverse(inverse(sP3_iProver_def)) = sP1_iProver_def,
    inference(light_normalisation,[status(thm)],[c_6932,c_78]) ).

cnf(c_6973,plain,
    inverse(inverse(sP1_iProver_def)) = sP3_iProver_def,
    inference(superposition,[status(thm)],[c_6939,c_3427]) ).

cnf(c_6983,plain,
    sP1_iProver_def = sP3_iProver_def,
    inference(light_normalisation,[status(thm)],[c_6940,c_6939,c_6973]) ).

cnf(c_6984,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_6983,c_81]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : GRP486-1 : TPTP v8.1.2. Released v2.6.0.
% 0.12/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n017.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 : Thu May  2 23:16:06 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.21/0.48  Running UEQ theorem proving
% 0.21/0.48  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
% 7.54/1.69  % SZS status Started for theBenchmark.p
% 7.54/1.69  % SZS status Unsatisfiable for theBenchmark.p
% 7.54/1.69  
% 7.54/1.69  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.54/1.69  
% 7.54/1.69  ------  iProver source info
% 7.54/1.69  
% 7.54/1.69  git: date: 2024-05-02 19:28:25 +0000
% 7.54/1.69  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.54/1.69  git: non_committed_changes: false
% 7.54/1.69  
% 7.54/1.69  ------ Parsing...successful
% 7.54/1.69  
% 7.54/1.69  
% 7.54/1.69  
% 7.54/1.69  ------ Preprocessing... sup_sim: 2  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 7.54/1.69  
% 7.54/1.69  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.54/1.69  
% 7.54/1.69  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 7.54/1.69  ------ Proving...
% 7.54/1.69  ------ Problem Properties 
% 7.54/1.69  
% 7.54/1.69  
% 7.54/1.69  clauses                                 9
% 7.54/1.69  conjectures                             1
% 7.54/1.69  EPR                                     1
% 7.54/1.69  Horn                                    9
% 7.54/1.69  unary                                   9
% 7.54/1.69  binary                                  0
% 7.54/1.69  lits                                    9
% 7.54/1.69  lits eq                                 9
% 7.54/1.69  fd_pure                                 0
% 7.54/1.69  fd_pseudo                               0
% 7.54/1.69  fd_cond                                 0
% 7.54/1.69  fd_pseudo_cond                          0
% 7.54/1.69  AC symbols                              0
% 7.54/1.69  
% 7.54/1.69  ------ Input Options Time Limit: Unbounded
% 7.54/1.69  
% 7.54/1.69  
% 7.54/1.69  ------ 
% 7.54/1.69  Current options:
% 7.54/1.69  ------ 
% 7.54/1.69  
% 7.54/1.69  
% 7.54/1.69  
% 7.54/1.69  
% 7.54/1.69  ------ Proving...
% 7.54/1.69  
% 7.54/1.69  
% 7.54/1.69  % SZS status Unsatisfiable for theBenchmark.p
% 7.54/1.69  
% 7.54/1.69  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.54/1.69  
% 7.54/1.69  
%------------------------------------------------------------------------------