TSTP Solution File: GRP454-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP454-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n008.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 02:22:38 EDT 2024

% Result   : Unsatisfiable 1.40s 1.20s
% Output   : CNFRefutation 1.40s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_50,plain,
    divide(X0,divide(identity,X1)) = multiply(X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).

cnf(c_51,plain,
    divide(identity,X0) = inverse(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).

cnf(c_52,plain,
    divide(X0,X0) = identity,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).

cnf(c_53,negated_conjecture,
    multiply(inverse(a1),a1) != identity,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).

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

cnf(c_78,plain,
    inverse(a1) = sP0_iProver_def,
    definition ).

cnf(c_79,plain,
    multiply(sP0_iProver_def,a1) = sP1_iProver_def,
    definition ).

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

cnf(c_132,plain,
    divide(X0,sP0_iProver_def) = multiply(X0,a1),
    inference(superposition,[status(thm)],[c_78,c_68]) ).

cnf(c_136,plain,
    divide(sP0_iProver_def,sP0_iProver_def) = sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_79,c_132]) ).

cnf(c_141,plain,
    identity = sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_136,c_52]) ).

cnf(c_145,plain,
    sP1_iProver_def != sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_80,c_141]) ).

cnf(c_146,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_145]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : GRP454-1 : TPTP v8.1.2. Released v2.6.0.
% 0.12/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n008.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May  2 23:45:28 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.20/0.48  Running UEQ theorem proving
% 0.20/0.48  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
% 1.40/1.20  % SZS status Started for theBenchmark.p
% 1.40/1.20  % SZS status Unsatisfiable for theBenchmark.p
% 1.40/1.20  
% 1.40/1.20  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.40/1.20  
% 1.40/1.20  ------  iProver source info
% 1.40/1.20  
% 1.40/1.20  git: date: 2024-05-02 19:28:25 +0000
% 1.40/1.20  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.40/1.20  git: non_committed_changes: false
% 1.40/1.20  
% 1.40/1.20  ------ Parsing...successful
% 1.40/1.20  
% 1.40/1.20  
% 1.40/1.20  
% 1.40/1.20  ------ Preprocessing... sup_sim: 2  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 1.40/1.20  
% 1.40/1.20  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.40/1.20  
% 1.40/1.20  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 1.40/1.20  ------ Proving...
% 1.40/1.20  ------ Problem Properties 
% 1.40/1.20  
% 1.40/1.20  
% 1.40/1.20  clauses                                 7
% 1.40/1.20  conjectures                             1
% 1.40/1.20  EPR                                     1
% 1.40/1.20  Horn                                    7
% 1.40/1.20  unary                                   7
% 1.40/1.20  binary                                  0
% 1.40/1.20  lits                                    7
% 1.40/1.20  lits eq                                 7
% 1.40/1.20  fd_pure                                 0
% 1.40/1.20  fd_pseudo                               0
% 1.40/1.20  fd_cond                                 0
% 1.40/1.20  fd_pseudo_cond                          0
% 1.40/1.20  AC symbols                              0
% 1.40/1.20  
% 1.40/1.20  ------ Input Options Time Limit: Unbounded
% 1.40/1.20  
% 1.40/1.20  
% 1.40/1.20  ------ 
% 1.40/1.20  Current options:
% 1.40/1.20  ------ 
% 1.40/1.20  
% 1.40/1.20  
% 1.40/1.20  
% 1.40/1.20  
% 1.40/1.20  ------ Proving...
% 1.40/1.20  
% 1.40/1.20  
% 1.40/1.20  % SZS status Unsatisfiable for theBenchmark.p
% 1.40/1.20  
% 1.40/1.20  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.40/1.20  
% 1.40/1.20  
%------------------------------------------------------------------------------