TSTP Solution File: GRP022-2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP022-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n011.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 02:19:47 EDT 2024

% Result   : Unsatisfiable 2.04s 1.13s
% Output   : CNFRefutation 2.04s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    multiply(X0,identity) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_identity) ).

cnf(c_51,negated_conjecture,
    inverse(inverse(a)) != a,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_inverse_of_inverse_is_original) ).

cnf(c_52,plain,
    multiply(identity,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).

cnf(c_53,plain,
    multiply(inverse(X0),X0) = identity,
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).

cnf(c_54,plain,
    multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).

cnf(c_75,plain,
    inverse(a) = sP0_iProver_def,
    definition ).

cnf(c_76,plain,
    inverse(sP0_iProver_def) = sP1_iProver_def,
    definition ).

cnf(c_77,negated_conjecture,
    sP1_iProver_def != a,
    inference(demodulation,[status(thm)],[c_51,c_75,c_76]) ).

cnf(c_125,plain,
    multiply(sP0_iProver_def,a) = identity,
    inference(superposition,[status(thm)],[c_75,c_53]) ).

cnf(c_127,plain,
    multiply(sP1_iProver_def,sP0_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_76,c_53]) ).

cnf(c_153,plain,
    multiply(sP1_iProver_def,multiply(sP0_iProver_def,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_127,c_54]) ).

cnf(c_154,plain,
    multiply(sP1_iProver_def,multiply(sP0_iProver_def,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_153,c_52]) ).

cnf(c_184,plain,
    multiply(sP1_iProver_def,identity) = a,
    inference(superposition,[status(thm)],[c_125,c_154]) ).

cnf(c_188,plain,
    a = sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_184,c_49]) ).

cnf(c_191,plain,
    sP1_iProver_def != sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_77,c_188]) ).

cnf(c_192,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_191]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : GRP022-2 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n011.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Fri May  3 00:08:48 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.17/0.44  Running UEQ theorem proving
% 0.17/0.44  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
% 2.04/1.13  % SZS status Started for theBenchmark.p
% 2.04/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 2.04/1.13  
% 2.04/1.13  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.04/1.13  
% 2.04/1.13  ------  iProver source info
% 2.04/1.13  
% 2.04/1.13  git: date: 2024-05-02 19:28:25 +0000
% 2.04/1.13  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.04/1.13  git: non_committed_changes: false
% 2.04/1.13  
% 2.04/1.13  ------ Parsing...successful
% 2.04/1.13  
% 2.04/1.13  
% 2.04/1.13  
% 2.04/1.13  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 2.04/1.13  
% 2.04/1.13  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.04/1.13  
% 2.04/1.13  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 2.04/1.13  ------ Proving...
% 2.04/1.13  ------ Problem Properties 
% 2.04/1.13  
% 2.04/1.13  
% 2.04/1.13  clauses                                 8
% 2.04/1.13  conjectures                             1
% 2.04/1.13  EPR                                     1
% 2.04/1.13  Horn                                    8
% 2.04/1.13  unary                                   8
% 2.04/1.13  binary                                  0
% 2.04/1.13  lits                                    8
% 2.04/1.13  lits eq                                 8
% 2.04/1.13  fd_pure                                 0
% 2.04/1.13  fd_pseudo                               0
% 2.04/1.13  fd_cond                                 0
% 2.04/1.13  fd_pseudo_cond                          0
% 2.04/1.13  AC symbols                              0
% 2.04/1.13  
% 2.04/1.13  ------ Input Options Time Limit: Unbounded
% 2.04/1.13  
% 2.04/1.13  
% 2.04/1.13  ------ 
% 2.04/1.13  Current options:
% 2.04/1.13  ------ 
% 2.04/1.13  
% 2.04/1.13  
% 2.04/1.13  
% 2.04/1.13  
% 2.04/1.13  ------ Proving...
% 2.04/1.13  
% 2.04/1.13  
% 2.04/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 2.04/1.13  
% 2.04/1.13  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.04/1.13  
% 2.04/1.13  
%------------------------------------------------------------------------------