TSTP Solution File: GRP564-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP564-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n023.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 02:22:56 EDT 2024

% Result   : Unsatisfiable 3.46s 1.13s
% Output   : CNFRefutation 3.46s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

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

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

cnf(c_51,negated_conjecture,
    multiply(a,b) != multiply(b,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_4) ).

cnf(c_60,plain,
    divide(divide(multiply(X0,X1),X2),divide(X0,X2)) = X1,
    inference(light_normalisation,[status(thm)],[c_49,c_50]) ).

cnf(c_66,plain,
    multiply(a,b) = sP0_iProver_def,
    definition ).

cnf(c_67,plain,
    multiply(b,a) = sP1_iProver_def,
    definition ).

cnf(c_68,negated_conjecture,
    sP0_iProver_def != sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_51,c_67,c_66]) ).

cnf(c_106,plain,
    divide(multiply(multiply(X0,X1),X2),divide(X0,inverse(X2))) = X1,
    inference(superposition,[status(thm)],[c_50,c_60]) ).

cnf(c_107,plain,
    divide(divide(sP0_iProver_def,X0),divide(a,X0)) = b,
    inference(superposition,[status(thm)],[c_66,c_60]) ).

cnf(c_110,plain,
    divide(divide(multiply(divide(multiply(X0,X1),X2),X3),divide(X0,X2)),X1) = X3,
    inference(superposition,[status(thm)],[c_60,c_60]) ).

cnf(c_119,plain,
    divide(divide(multiply(divide(sP0_iProver_def,X0),X1),divide(a,X0)),b) = X1,
    inference(superposition,[status(thm)],[c_107,c_60]) ).

cnf(c_143,plain,
    divide(multiply(multiply(X0,X1),X2),multiply(X0,X2)) = X1,
    inference(demodulation,[status(thm)],[c_106,c_50]) ).

cnf(c_145,plain,
    divide(multiply(sP1_iProver_def,X0),multiply(b,X0)) = a,
    inference(superposition,[status(thm)],[c_67,c_143]) ).

cnf(c_188,plain,
    divide(a,divide(sP1_iProver_def,multiply(b,X0))) = X0,
    inference(superposition,[status(thm)],[c_145,c_60]) ).

cnf(c_241,plain,
    divide(divide(sP0_iProver_def,divide(sP1_iProver_def,multiply(b,X0))),X0) = b,
    inference(superposition,[status(thm)],[c_188,c_107]) ).

cnf(c_344,plain,
    multiply(divide(sP0_iProver_def,divide(sP1_iProver_def,multiply(b,inverse(X0)))),X0) = b,
    inference(superposition,[status(thm)],[c_241,c_50]) ).

cnf(c_449,plain,
    divide(divide(b,divide(a,divide(sP1_iProver_def,multiply(b,inverse(X0))))),b) = X0,
    inference(superposition,[status(thm)],[c_344,c_119]) ).

cnf(c_1134,plain,
    divide(multiply(b,X0),b) = X0,
    inference(demodulation,[status(thm)],[c_449,c_50,c_188]) ).

cnf(c_1135,plain,
    divide(sP1_iProver_def,b) = a,
    inference(superposition,[status(thm)],[c_67,c_1134]) ).

cnf(c_1139,plain,
    divide(X0,divide(b,b)) = X0,
    inference(superposition,[status(thm)],[c_1134,c_60]) ).

cnf(c_1211,plain,
    divide(multiply(divide(multiply(b,X0),b),X1),X0) = X1,
    inference(superposition,[status(thm)],[c_1139,c_110]) ).

cnf(c_1225,plain,
    divide(multiply(X0,X1),X0) = X1,
    inference(light_normalisation,[status(thm)],[c_1211,c_1134]) ).

cnf(c_1318,plain,
    multiply(multiply(inverse(X0),X1),X0) = X1,
    inference(superposition,[status(thm)],[c_1225,c_50]) ).

cnf(c_1322,plain,
    divide(X0,divide(X1,X1)) = X0,
    inference(superposition,[status(thm)],[c_1225,c_60]) ).

cnf(c_1449,plain,
    multiply(divide(X0,X0),X1) = X1,
    inference(superposition,[status(thm)],[c_1322,c_1225]) ).

cnf(c_1879,plain,
    divide(multiply(multiply(divide(X0,X0),X1),X2),X2) = X1,
    inference(superposition,[status(thm)],[c_1449,c_143]) ).

cnf(c_1893,plain,
    divide(multiply(X0,X1),X1) = X0,
    inference(light_normalisation,[status(thm)],[c_1879,c_1449]) ).

cnf(c_1992,plain,
    multiply(inverse(X0),X1) = divide(X1,X0),
    inference(superposition,[status(thm)],[c_1318,c_1893]) ).

cnf(c_2023,plain,
    multiply(divide(X0,X1),X1) = X0,
    inference(demodulation,[status(thm)],[c_1318,c_1992]) ).

cnf(c_2482,plain,
    multiply(a,b) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_1135,c_2023]) ).

cnf(c_2501,plain,
    sP0_iProver_def = sP1_iProver_def,
    inference(light_normalisation,[status(thm)],[c_2482,c_66]) ).

cnf(c_2502,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_2501,c_68]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : GRP564-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.06/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.33  % Computer : n023.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Fri May  3 00:19:24 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.18/0.45  Running UEQ theorem proving
% 0.18/0.45  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
% 3.46/1.13  % SZS status Started for theBenchmark.p
% 3.46/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 3.46/1.13  
% 3.46/1.13  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.46/1.13  
% 3.46/1.13  ------  iProver source info
% 3.46/1.13  
% 3.46/1.13  git: date: 2024-05-02 19:28:25 +0000
% 3.46/1.13  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.46/1.13  git: non_committed_changes: false
% 3.46/1.13  
% 3.46/1.13  ------ Parsing...successful
% 3.46/1.13  
% 3.46/1.13  
% 3.46/1.13  
% 3.46/1.13  ------ Preprocessing... sup_sim: 1  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.46/1.13  
% 3.46/1.13  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.46/1.13  
% 3.46/1.13  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 3.46/1.13  ------ Proving...
% 3.46/1.13  ------ Problem Properties 
% 3.46/1.13  
% 3.46/1.13  
% 3.46/1.13  clauses                                 5
% 3.46/1.13  conjectures                             1
% 3.46/1.13  EPR                                     1
% 3.46/1.13  Horn                                    5
% 3.46/1.13  unary                                   5
% 3.46/1.13  binary                                  0
% 3.46/1.13  lits                                    5
% 3.46/1.13  lits eq                                 5
% 3.46/1.13  fd_pure                                 0
% 3.46/1.13  fd_pseudo                               0
% 3.46/1.13  fd_cond                                 0
% 3.46/1.13  fd_pseudo_cond                          0
% 3.46/1.13  AC symbols                              0
% 3.46/1.13  
% 3.46/1.13  ------ Input Options Time Limit: Unbounded
% 3.46/1.13  
% 3.46/1.13  
% 3.46/1.13  ------ 
% 3.46/1.13  Current options:
% 3.46/1.13  ------ 
% 3.46/1.13  
% 3.46/1.13  
% 3.46/1.13  
% 3.46/1.13  
% 3.46/1.13  ------ Proving...
% 3.46/1.13  
% 3.46/1.13  
% 3.46/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 3.46/1.13  
% 3.46/1.13  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.46/1.13  
% 3.46/1.13  
%------------------------------------------------------------------------------