TSTP Solution File: GRP515-1 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP515-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n005.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 02:22:48 EDT 2024

% Result   : Unsatisfiable 3.71s 1.18s
% Output   : CNFRefutation 3.71s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

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

cnf(c_50,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_60,plain,
    multiply(a3,b3) = sP0_iProver_def,
    definition ).

cnf(c_61,plain,
    multiply(sP0_iProver_def,c3) = sP1_iProver_def,
    definition ).

cnf(c_62,plain,
    multiply(b3,c3) = sP2_iProver_def,
    definition ).

cnf(c_63,plain,
    multiply(a3,sP2_iProver_def) = sP3_iProver_def,
    definition ).

cnf(c_64,negated_conjecture,
    sP1_iProver_def != sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_50,c_62,c_63,c_60,c_61]) ).

cnf(c_104,plain,
    multiply(X0,multiply(sP2_iProver_def,inverse(multiply(X0,c3)))) = b3,
    inference(superposition,[status(thm)],[c_62,c_49]) ).

cnf(c_112,plain,
    multiply(X0,multiply(X1,inverse(multiply(X0,multiply(multiply(X1,X2),inverse(multiply(X3,X2))))))) = X3,
    inference(superposition,[status(thm)],[c_49,c_49]) ).

cnf(c_113,plain,
    multiply(X0,multiply(multiply(X1,multiply(multiply(X2,X3),inverse(multiply(X0,X3)))),inverse(X2))) = X1,
    inference(superposition,[status(thm)],[c_49,c_49]) ).

cnf(c_138,plain,
    multiply(sP0_iProver_def,multiply(sP2_iProver_def,inverse(sP1_iProver_def))) = b3,
    inference(superposition,[status(thm)],[c_61,c_104]) ).

cnf(c_163,plain,
    multiply(sP0_iProver_def,multiply(multiply(X0,multiply(sP2_iProver_def,inverse(sP1_iProver_def))),inverse(b3))) = X0,
    inference(superposition,[status(thm)],[c_138,c_49]) ).

cnf(c_306,plain,
    multiply(X0,multiply(X1,inverse(X1))) = X0,
    inference(superposition,[status(thm)],[c_49,c_112]) ).

cnf(c_524,plain,
    multiply(X0,multiply(X1,inverse(X0))) = X1,
    inference(superposition,[status(thm)],[c_306,c_112]) ).

cnf(c_529,plain,
    multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X2,X1)))) = X0,
    inference(superposition,[status(thm)],[c_524,c_112]) ).

cnf(c_535,plain,
    multiply(sP2_iProver_def,multiply(X0,inverse(multiply(X0,c3)))) = b3,
    inference(superposition,[status(thm)],[c_62,c_529]) ).

cnf(c_536,plain,
    multiply(sP1_iProver_def,multiply(X0,inverse(multiply(X0,c3)))) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_61,c_529]) ).

cnf(c_575,plain,
    multiply(multiply(X0,X1),multiply(X2,inverse(X0))) = multiply(X2,X1),
    inference(superposition,[status(thm)],[c_529,c_112]) ).

cnf(c_755,plain,
    multiply(sP2_iProver_def,multiply(X0,inverse(b3))) = multiply(X0,c3),
    inference(superposition,[status(thm)],[c_535,c_112]) ).

cnf(c_817,plain,
    multiply(sP1_iProver_def,multiply(X0,inverse(sP0_iProver_def))) = multiply(X0,c3),
    inference(superposition,[status(thm)],[c_536,c_112]) ).

cnf(c_1030,plain,
    multiply(X0,multiply(multiply(X1,X2),inverse(X1))) = multiply(X0,X2),
    inference(superposition,[status(thm)],[c_524,c_113]) ).

cnf(c_1367,plain,
    multiply(sP0_iProver_def,multiply(sP2_iProver_def,inverse(b3))) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_524,c_163]) ).

cnf(c_1696,plain,
    multiply(X0,multiply(sP2_iProver_def,inverse(b3))) = multiply(sP1_iProver_def,multiply(X0,inverse(sP0_iProver_def))),
    inference(superposition,[status(thm)],[c_1367,c_575]) ).

cnf(c_1716,plain,
    multiply(X0,multiply(sP2_iProver_def,inverse(b3))) = multiply(X0,c3),
    inference(light_normalisation,[status(thm)],[c_1696,c_817]) ).

cnf(c_1854,plain,
    multiply(multiply(b3,X0),c3) = multiply(sP2_iProver_def,X0),
    inference(superposition,[status(thm)],[c_1716,c_575]) ).

cnf(c_1894,plain,
    multiply(multiply(X0,X1),X2) = multiply(multiply(X0,X2),X1),
    inference(superposition,[status(thm)],[c_1030,c_575]) ).

cnf(c_2185,plain,
    multiply(X0,multiply(multiply(X1,inverse(X0)),X2)) = multiply(X1,X2),
    inference(superposition,[status(thm)],[c_1894,c_524]) ).

cnf(c_2793,plain,
    multiply(X0,inverse(multiply(X0,inverse(X1)))) = X1,
    inference(superposition,[status(thm)],[c_2185,c_306]) ).

cnf(c_2872,plain,
    multiply(multiply(X0,inverse(X1)),X1) = X0,
    inference(superposition,[status(thm)],[c_2793,c_524]) ).

cnf(c_2920,plain,
    multiply(multiply(X0,X1),inverse(X1)) = X0,
    inference(demodulation,[status(thm)],[c_2872,c_1894]) ).

cnf(c_2921,plain,
    multiply(sP0_iProver_def,inverse(b3)) = a3,
    inference(superposition,[status(thm)],[c_60,c_2920]) ).

cnf(c_2958,plain,
    multiply(multiply(X0,X1),X2) = multiply(X1,multiply(X0,X2)),
    inference(superposition,[status(thm)],[c_2920,c_2185]) ).

cnf(c_2972,plain,
    multiply(X0,multiply(b3,c3)) = multiply(sP2_iProver_def,X0),
    inference(demodulation,[status(thm)],[c_1854,c_2958]) ).

cnf(c_2977,plain,
    multiply(X0,sP2_iProver_def) = multiply(sP2_iProver_def,X0),
    inference(light_normalisation,[status(thm)],[c_2972,c_62]) ).

cnf(c_2978,plain,
    multiply(sP2_iProver_def,a3) = sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_63,c_2977]) ).

cnf(c_3224,plain,
    multiply(sP0_iProver_def,c3) = multiply(sP2_iProver_def,a3),
    inference(superposition,[status(thm)],[c_2921,c_755]) ).

cnf(c_3225,plain,
    sP1_iProver_def = sP3_iProver_def,
    inference(light_normalisation,[status(thm)],[c_3224,c_61,c_2978]) ).

cnf(c_3226,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_3225,c_64]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP515-1 : TPTP v8.1.2. Released v2.6.0.
% 0.03/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n005.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu May  2 23:49:26 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.20/0.47  Running UEQ theorem proving
% 0.20/0.47  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
% 3.71/1.18  % SZS status Started for theBenchmark.p
% 3.71/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 3.71/1.18  
% 3.71/1.18  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.71/1.18  
% 3.71/1.18  ------  iProver source info
% 3.71/1.18  
% 3.71/1.18  git: date: 2024-05-02 19:28:25 +0000
% 3.71/1.18  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.71/1.18  git: non_committed_changes: false
% 3.71/1.18  
% 3.71/1.18  ------ Parsing...successful
% 3.71/1.18  
% 3.71/1.18  
% 3.71/1.18  
% 3.71/1.18  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.71/1.18  
% 3.71/1.18  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.71/1.18  
% 3.71/1.18  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 3.71/1.18  ------ Proving...
% 3.71/1.18  ------ Problem Properties 
% 3.71/1.18  
% 3.71/1.18  
% 3.71/1.18  clauses                                 6
% 3.71/1.18  conjectures                             1
% 3.71/1.18  EPR                                     1
% 3.71/1.18  Horn                                    6
% 3.71/1.18  unary                                   6
% 3.71/1.18  binary                                  0
% 3.71/1.18  lits                                    6
% 3.71/1.18  lits eq                                 6
% 3.71/1.18  fd_pure                                 0
% 3.71/1.18  fd_pseudo                               0
% 3.71/1.18  fd_cond                                 0
% 3.71/1.18  fd_pseudo_cond                          0
% 3.71/1.18  AC symbols                              0
% 3.71/1.18  
% 3.71/1.18  ------ Input Options Time Limit: Unbounded
% 3.71/1.18  
% 3.71/1.18  
% 3.71/1.18  ------ 
% 3.71/1.18  Current options:
% 3.71/1.18  ------ 
% 3.71/1.18  
% 3.71/1.18  
% 3.71/1.18  
% 3.71/1.18  
% 3.71/1.18  ------ Proving...
% 3.71/1.18  
% 3.71/1.18  
% 3.71/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 3.71/1.18  
% 3.71/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.71/1.18  
% 3.71/1.18  
%------------------------------------------------------------------------------