TSTP Solution File: GRP538-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP538-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n032.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 02:22:52 EDT 2024

% Result   : Unsatisfiable 1.79s 1.01s
% Output   : CNFRefutation 1.79s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

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

cnf(c_50,plain,
    divide(X0,divide(divide(X1,X1),X2)) = multiply(X0,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).

cnf(c_51,plain,
    divide(divide(X0,X0),X1) = inverse(X1),
    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(multiply(inverse(b2),b2),a2) != a2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).

cnf(c_68,plain,
    divide(identity,X0) = inverse(X0),
    inference(light_normalisation,[status(thm)],[c_51,c_52]) ).

cnf(c_69,plain,
    divide(X0,inverse(X1)) = multiply(X0,X1),
    inference(demodulation,[status(thm)],[c_50,c_52,c_68]) ).

cnf(c_77,plain,
    inverse(b2) = sP0_iProver_def,
    definition ).

cnf(c_78,plain,
    multiply(sP0_iProver_def,b2) = sP1_iProver_def,
    definition ).

cnf(c_79,plain,
    multiply(sP1_iProver_def,a2) = sP2_iProver_def,
    definition ).

cnf(c_80,negated_conjecture,
    sP2_iProver_def != a2,
    inference(demodulation,[status(thm)],[c_53,c_77,c_78,c_79]) ).

cnf(c_134,plain,
    divide(X0,sP0_iProver_def) = multiply(X0,b2),
    inference(superposition,[status(thm)],[c_77,c_69]) ).

cnf(c_138,plain,
    divide(sP0_iProver_def,sP0_iProver_def) = sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_78,c_134]) ).

cnf(c_170,plain,
    identity = sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_138,c_52]) ).

cnf(c_172,plain,
    divide(sP1_iProver_def,X0) = inverse(X0),
    inference(demodulation,[status(thm)],[c_68,c_170]) ).

cnf(c_173,plain,
    divide(X0,X0) = sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_52,c_170]) ).

cnf(c_183,plain,
    divide(sP1_iProver_def,divide(divide(X0,X1),X0)) = X1,
    inference(superposition,[status(thm)],[c_173,c_49]) ).

cnf(c_197,plain,
    multiply(sP1_iProver_def,X0) = inverse(inverse(X0)),
    inference(superposition,[status(thm)],[c_172,c_69]) ).

cnf(c_474,plain,
    inverse(divide(divide(X0,X1),X0)) = X1,
    inference(demodulation,[status(thm)],[c_183,c_172]) ).

cnf(c_477,plain,
    inverse(divide(sP1_iProver_def,X0)) = X0,
    inference(superposition,[status(thm)],[c_173,c_474]) ).

cnf(c_488,plain,
    multiply(sP1_iProver_def,X0) = X0,
    inference(light_normalisation,[status(thm)],[c_477,c_172,c_197]) ).

cnf(c_492,plain,
    a2 = sP2_iProver_def,
    inference(demodulation,[status(thm)],[c_79,c_488]) ).

cnf(c_495,plain,
    sP2_iProver_def != sP2_iProver_def,
    inference(demodulation,[status(thm)],[c_80,c_492]) ).

cnf(c_496,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_495]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : GRP538-1 : TPTP v8.1.2. Released v2.6.0.
% 0.09/0.09  % Command  : run_iprover %s %d THM
% 0.09/0.28  % Computer : n032.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit : 300
% 0.09/0.28  % WCLimit  : 300
% 0.09/0.28  % DateTime : Thu May  2 23:54:08 EDT 2024
% 0.09/0.28  % CPUTime  : 
% 0.13/0.37  Running UEQ theorem proving
% 0.13/0.37  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
% 1.79/1.01  % SZS status Started for theBenchmark.p
% 1.79/1.01  % SZS status Unsatisfiable for theBenchmark.p
% 1.79/1.01  
% 1.79/1.01  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.79/1.01  
% 1.79/1.01  ------  iProver source info
% 1.79/1.01  
% 1.79/1.01  git: date: 2024-05-02 19:28:25 +0000
% 1.79/1.01  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.79/1.01  git: non_committed_changes: false
% 1.79/1.01  
% 1.79/1.01  ------ Parsing...successful
% 1.79/1.01  
% 1.79/1.01  
% 1.79/1.01  
% 1.79/1.01  ------ Preprocessing... sup_sim: 2  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 1.79/1.01  
% 1.79/1.01  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.79/1.01  
% 1.79/1.01  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 1.79/1.01  ------ Proving...
% 1.79/1.01  ------ Problem Properties 
% 1.79/1.01  
% 1.79/1.01  
% 1.79/1.01  clauses                                 8
% 1.79/1.01  conjectures                             1
% 1.79/1.01  EPR                                     1
% 1.79/1.01  Horn                                    8
% 1.79/1.01  unary                                   8
% 1.79/1.01  binary                                  0
% 1.79/1.01  lits                                    8
% 1.79/1.01  lits eq                                 8
% 1.79/1.01  fd_pure                                 0
% 1.79/1.01  fd_pseudo                               0
% 1.79/1.01  fd_cond                                 0
% 1.79/1.01  fd_pseudo_cond                          0
% 1.79/1.01  AC symbols                              0
% 1.79/1.01  
% 1.79/1.01  ------ Input Options Time Limit: Unbounded
% 1.79/1.01  
% 1.79/1.01  
% 1.79/1.01  ------ 
% 1.79/1.01  Current options:
% 1.79/1.01  ------ 
% 1.79/1.01  
% 1.79/1.01  
% 1.79/1.01  
% 1.79/1.01  
% 1.79/1.01  ------ Proving...
% 1.79/1.01  
% 1.79/1.01  
% 1.79/1.01  % SZS status Unsatisfiable for theBenchmark.p
% 1.79/1.01  
% 1.79/1.01  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.79/1.01  
% 1.79/1.01  
%------------------------------------------------------------------------------