TSTP Solution File: GRP586-1 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP586-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n016.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 02:23:00 EDT 2024

% Result   : Unsatisfiable 3.90s 1.17s
% Output   : CNFRefutation 3.90s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    double_divide(X0,inverse(double_divide(inverse(double_divide(double_divide(X0,X1),inverse(X2))),X1))) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).

cnf(c_50,plain,
    inverse(double_divide(X0,X1)) = multiply(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).

cnf(c_51,negated_conjecture,
    multiply(multiply(inverse(b2),b2),a2) != a2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).

cnf(c_60,plain,
    double_divide(X0,multiply(X1,multiply(inverse(X2),double_divide(X0,X1)))) = X2,
    inference(demodulation,[status(thm)],[c_49,c_50]) ).

cnf(c_67,plain,
    inverse(b2) = sP0_iProver_def,
    definition ).

cnf(c_68,plain,
    multiply(sP0_iProver_def,b2) = sP1_iProver_def,
    definition ).

cnf(c_69,plain,
    multiply(sP1_iProver_def,a2) = sP2_iProver_def,
    definition ).

cnf(c_70,negated_conjecture,
    sP2_iProver_def != a2,
    inference(demodulation,[status(thm)],[c_51,c_67,c_68,c_69]) ).

cnf(c_114,plain,
    double_divide(X0,multiply(X1,multiply(multiply(X2,X3),double_divide(X0,X1)))) = double_divide(X3,X2),
    inference(superposition,[status(thm)],[c_50,c_60]) ).

cnf(c_115,plain,
    double_divide(X0,multiply(X1,multiply(sP0_iProver_def,double_divide(X0,X1)))) = b2,
    inference(superposition,[status(thm)],[c_67,c_60]) ).

cnf(c_116,plain,
    double_divide(X0,multiply(multiply(X1,multiply(inverse(X2),double_divide(X0,X1))),multiply(inverse(X3),X2))) = X3,
    inference(superposition,[status(thm)],[c_60,c_60]) ).

cnf(c_118,plain,
    multiply(multiply(X0,multiply(inverse(X1),double_divide(X2,X0))),X2) = inverse(X1),
    inference(superposition,[status(thm)],[c_60,c_50]) ).

cnf(c_124,plain,
    double_divide(X0,multiply(multiply(X1,multiply(sP0_iProver_def,double_divide(X0,X1))),multiply(sP0_iProver_def,b2))) = b2,
    inference(superposition,[status(thm)],[c_115,c_115]) ).

cnf(c_127,plain,
    multiply(multiply(X0,multiply(sP0_iProver_def,double_divide(X1,X0))),X1) = inverse(b2),
    inference(superposition,[status(thm)],[c_115,c_50]) ).

cnf(c_128,plain,
    multiply(multiply(X0,multiply(sP0_iProver_def,double_divide(X1,X0))),X1) = sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_127,c_67]) ).

cnf(c_129,plain,
    double_divide(X0,multiply(multiply(X1,multiply(sP0_iProver_def,double_divide(X0,X1))),sP1_iProver_def)) = b2,
    inference(light_normalisation,[status(thm)],[c_124,c_68]) ).

cnf(c_140,plain,
    double_divide(X0,multiply(X1,multiply(sP1_iProver_def,double_divide(X0,X1)))) = double_divide(b2,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_68,c_114]) ).

cnf(c_204,plain,
    multiply(multiply(X0,multiply(sP1_iProver_def,double_divide(X1,X0))),X1) = inverse(double_divide(b2,sP0_iProver_def)),
    inference(superposition,[status(thm)],[c_140,c_50]) ).

cnf(c_285,plain,
    multiply(multiply(X0,multiply(sP1_iProver_def,double_divide(X1,X0))),X1) = sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_204,c_50,c_68]) ).

cnf(c_303,plain,
    double_divide(sP1_iProver_def,sP0_iProver_def) = b2,
    inference(superposition,[status(thm)],[c_128,c_129]) ).

cnf(c_393,plain,
    double_divide(sP1_iProver_def,multiply(sP0_iProver_def,multiply(inverse(X0),b2))) = X0,
    inference(superposition,[status(thm)],[c_303,c_60]) ).

cnf(c_397,plain,
    multiply(multiply(sP0_iProver_def,multiply(inverse(X0),b2)),sP1_iProver_def) = inverse(X0),
    inference(superposition,[status(thm)],[c_303,c_118]) ).

cnf(c_581,plain,
    double_divide(multiply(inverse(X0),X1),inverse(X1)) = X0,
    inference(superposition,[status(thm)],[c_118,c_116]) ).

cnf(c_815,plain,
    double_divide(multiply(inverse(X0),b2),sP0_iProver_def) = X0,
    inference(superposition,[status(thm)],[c_67,c_581]) ).

cnf(c_1157,plain,
    multiply(sP0_iProver_def,multiply(inverse(X0),b2)) = inverse(X0),
    inference(superposition,[status(thm)],[c_815,c_50]) ).

cnf(c_1164,plain,
    multiply(inverse(X0),sP1_iProver_def) = inverse(X0),
    inference(demodulation,[status(thm)],[c_397,c_1157]) ).

cnf(c_1165,plain,
    double_divide(sP1_iProver_def,inverse(X0)) = X0,
    inference(demodulation,[status(thm)],[c_393,c_1157]) ).

cnf(c_1287,plain,
    multiply(multiply(X0,X1),sP1_iProver_def) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_50,c_1164]) ).

cnf(c_2668,plain,
    multiply(X0,multiply(sP1_iProver_def,double_divide(sP1_iProver_def,X0))) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_1287,c_285]) ).

cnf(c_3374,plain,
    multiply(inverse(X0),multiply(sP1_iProver_def,X0)) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_1165,c_2668]) ).

cnf(c_3416,plain,
    multiply(inverse(a2),sP2_iProver_def) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_69,c_3374]) ).

cnf(c_3473,plain,
    double_divide(sP1_iProver_def,inverse(sP2_iProver_def)) = a2,
    inference(superposition,[status(thm)],[c_3416,c_581]) ).

cnf(c_4350,plain,
    a2 = sP2_iProver_def,
    inference(demodulation,[status(thm)],[c_3473,c_1165]) ).

cnf(c_4354,plain,
    sP2_iProver_def != sP2_iProver_def,
    inference(demodulation,[status(thm)],[c_70,c_4350]) ).

cnf(c_4355,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_4354]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP586-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n016.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 : Fri May  3 00:30:15 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.19/0.47  Running UEQ theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.90/1.17  % SZS status Started for theBenchmark.p
% 3.90/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 3.90/1.17  
% 3.90/1.17  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.90/1.17  
% 3.90/1.17  ------  iProver source info
% 3.90/1.17  
% 3.90/1.17  git: date: 2024-05-02 19:28:25 +0000
% 3.90/1.17  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.90/1.17  git: non_committed_changes: false
% 3.90/1.17  
% 3.90/1.17  ------ Parsing...successful
% 3.90/1.17  
% 3.90/1.17  
% 3.90/1.17  
% 3.90/1.17  ------ Preprocessing... sup_sim: 1  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.90/1.17  
% 3.90/1.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.90/1.17  
% 3.90/1.17  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 3.90/1.17  ------ Proving...
% 3.90/1.17  ------ Problem Properties 
% 3.90/1.17  
% 3.90/1.17  
% 3.90/1.17  clauses                                 6
% 3.90/1.17  conjectures                             1
% 3.90/1.17  EPR                                     1
% 3.90/1.17  Horn                                    6
% 3.90/1.17  unary                                   6
% 3.90/1.17  binary                                  0
% 3.90/1.17  lits                                    6
% 3.90/1.17  lits eq                                 6
% 3.90/1.17  fd_pure                                 0
% 3.90/1.17  fd_pseudo                               0
% 3.90/1.17  fd_cond                                 0
% 3.90/1.17  fd_pseudo_cond                          0
% 3.90/1.17  AC symbols                              0
% 3.90/1.17  
% 3.90/1.17  ------ Input Options Time Limit: Unbounded
% 3.90/1.17  
% 3.90/1.17  
% 3.90/1.17  ------ 
% 3.90/1.17  Current options:
% 3.90/1.17  ------ 
% 3.90/1.17  
% 3.90/1.17  
% 3.90/1.17  
% 3.90/1.17  
% 3.90/1.17  ------ Proving...
% 3.90/1.17  
% 3.90/1.17  
% 3.90/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 3.90/1.17  
% 3.90/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.90/1.17  
% 3.90/1.17  
%------------------------------------------------------------------------------