TSTP Solution File: GRP522-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP522-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n004.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 02:22:49 EDT 2024

% Result   : Unsatisfiable 2.36s 1.10s
% Output   : CNFRefutation 2.36s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

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

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

cnf(c_51,plain,
    divide(divide(X0,X0),X1) = inverse(X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).

cnf(c_52,negated_conjecture,
    multiply(multiply(inverse(b2),b2),a2) != a2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).

cnf(c_64,plain,
    divide(X0,inverse(X1)) = multiply(X0,X1),
    inference(demodulation,[status(thm)],[c_50,c_51]) ).

cnf(c_71,plain,
    inverse(b2) = sP0_iProver_def,
    definition ).

cnf(c_72,plain,
    multiply(sP0_iProver_def,b2) = sP1_iProver_def,
    definition ).

cnf(c_73,plain,
    multiply(sP1_iProver_def,a2) = sP2_iProver_def,
    definition ).

cnf(c_74,negated_conjecture,
    sP2_iProver_def != a2,
    inference(demodulation,[status(thm)],[c_52,c_71,c_72,c_73]) ).

cnf(c_126,plain,
    divide(X0,sP0_iProver_def) = multiply(X0,b2),
    inference(superposition,[status(thm)],[c_71,c_64]) ).

cnf(c_127,plain,
    divide(multiply(inverse(X0),X0),X1) = inverse(X1),
    inference(superposition,[status(thm)],[c_64,c_51]) ).

cnf(c_129,plain,
    divide(sP0_iProver_def,sP0_iProver_def) = sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_72,c_126]) ).

cnf(c_133,plain,
    divide(sP1_iProver_def,X0) = inverse(X0),
    inference(superposition,[status(thm)],[c_129,c_51]) ).

cnf(c_136,plain,
    divide(inverse(sP1_iProver_def),X0) = inverse(X0),
    inference(superposition,[status(thm)],[c_133,c_51]) ).

cnf(c_137,plain,
    multiply(sP1_iProver_def,X0) = inverse(inverse(X0)),
    inference(superposition,[status(thm)],[c_133,c_64]) ).

cnf(c_163,plain,
    divide(X0,divide(X1,inverse(divide(X0,X1)))) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_133,c_49]) ).

cnf(c_174,plain,
    inverse(divide(X0,divide(X1,divide(sP1_iProver_def,X0)))) = X1,
    inference(superposition,[status(thm)],[c_49,c_133]) ).

cnf(c_175,plain,
    inverse(divide(X0,divide(X1,inverse(X0)))) = X1,
    inference(light_normalisation,[status(thm)],[c_174,c_133]) ).

cnf(c_217,plain,
    divide(X0,divide(X1,inverse(divide(X0,X1)))) = inverse(sP1_iProver_def),
    inference(superposition,[status(thm)],[c_136,c_49]) ).

cnf(c_226,plain,
    inverse(sP1_iProver_def) = sP1_iProver_def,
    inference(light_normalisation,[status(thm)],[c_217,c_163]) ).

cnf(c_238,plain,
    divide(X0,sP1_iProver_def) = multiply(X0,sP1_iProver_def),
    inference(superposition,[status(thm)],[c_226,c_64]) ).

cnf(c_273,plain,
    divide(X0,divide(X1,inverse(divide(X0,X1)))) = multiply(inverse(X2),X2),
    inference(superposition,[status(thm)],[c_127,c_49]) ).

cnf(c_282,plain,
    multiply(inverse(X0),X0) = sP1_iProver_def,
    inference(light_normalisation,[status(thm)],[c_273,c_163]) ).

cnf(c_365,plain,
    inverse(divide(X0,multiply(X1,X0))) = X1,
    inference(demodulation,[status(thm)],[c_175,c_64]) ).

cnf(c_368,plain,
    inverse(inverse(multiply(X0,sP1_iProver_def))) = X0,
    inference(superposition,[status(thm)],[c_133,c_365]) ).

cnf(c_372,plain,
    inverse(divide(X0,sP1_iProver_def)) = inverse(X0),
    inference(superposition,[status(thm)],[c_282,c_365]) ).

cnf(c_380,plain,
    inverse(inverse(divide(X0,sP1_iProver_def))) = X0,
    inference(light_normalisation,[status(thm)],[c_368,c_238]) ).

cnf(c_542,plain,
    multiply(sP1_iProver_def,X0) = X0,
    inference(light_normalisation,[status(thm)],[c_380,c_137,c_372]) ).

cnf(c_546,plain,
    a2 = sP2_iProver_def,
    inference(demodulation,[status(thm)],[c_73,c_542]) ).

cnf(c_549,plain,
    sP2_iProver_def != sP2_iProver_def,
    inference(demodulation,[status(thm)],[c_74,c_546]) ).

cnf(c_550,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_549]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem  : GRP522-1 : TPTP v8.1.2. Released v2.6.0.
% 0.02/0.11  % Command  : run_iprover %s %d THM
% 0.10/0.31  % Computer : n004.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Thu May  2 23:54:03 EDT 2024
% 0.10/0.31  % CPUTime  : 
% 0.16/0.42  Running UEQ theorem proving
% 0.16/0.42  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
% 2.36/1.10  % SZS status Started for theBenchmark.p
% 2.36/1.10  % SZS status Unsatisfiable for theBenchmark.p
% 2.36/1.10  
% 2.36/1.10  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.36/1.10  
% 2.36/1.10  ------  iProver source info
% 2.36/1.10  
% 2.36/1.10  git: date: 2024-05-02 19:28:25 +0000
% 2.36/1.10  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.36/1.10  git: non_committed_changes: false
% 2.36/1.10  
% 2.36/1.10  ------ Parsing...successful
% 2.36/1.10  
% 2.36/1.10  
% 2.36/1.10  
% 2.36/1.10  ------ Preprocessing... sup_sim: 1  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 2.36/1.10  
% 2.36/1.10  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.36/1.10  
% 2.36/1.10  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 2.36/1.10  ------ Proving...
% 2.36/1.10  ------ Problem Properties 
% 2.36/1.10  
% 2.36/1.10  
% 2.36/1.10  clauses                                 7
% 2.36/1.10  conjectures                             1
% 2.36/1.10  EPR                                     1
% 2.36/1.10  Horn                                    7
% 2.36/1.10  unary                                   7
% 2.36/1.10  binary                                  0
% 2.36/1.10  lits                                    7
% 2.36/1.10  lits eq                                 7
% 2.36/1.10  fd_pure                                 0
% 2.36/1.10  fd_pseudo                               0
% 2.36/1.10  fd_cond                                 0
% 2.36/1.10  fd_pseudo_cond                          0
% 2.36/1.10  AC symbols                              0
% 2.36/1.10  
% 2.36/1.10  ------ Input Options Time Limit: Unbounded
% 2.36/1.10  
% 2.36/1.10  
% 2.36/1.10  ------ 
% 2.36/1.10  Current options:
% 2.36/1.10  ------ 
% 2.36/1.10  
% 2.36/1.10  
% 2.36/1.10  
% 2.36/1.10  
% 2.36/1.10  ------ Proving...
% 2.36/1.10  
% 2.36/1.10  
% 2.36/1.10  % SZS status Unsatisfiable for theBenchmark.p
% 2.36/1.10  
% 2.36/1.10  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.36/1.10  
% 2.36/1.10  
%------------------------------------------------------------------------------