TSTP Solution File: GRP523-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP523-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n017.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 3.63s 1.15s
% Output   : CNFRefutation 3.63s
% 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(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).

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

cnf(c_70,plain,
    multiply(a3,b3) = sP0_iProver_def,
    definition ).

cnf(c_71,plain,
    multiply(sP0_iProver_def,c3) = sP1_iProver_def,
    definition ).

cnf(c_72,plain,
    multiply(b3,c3) = sP2_iProver_def,
    definition ).

cnf(c_73,plain,
    multiply(a3,sP2_iProver_def) = sP3_iProver_def,
    definition ).

cnf(c_74,negated_conjecture,
    sP1_iProver_def != sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_52,c_72,c_73,c_70,c_71]) ).

cnf(c_118,plain,
    divide(inverse(divide(X0,X0)),X1) = inverse(X1),
    inference(superposition,[status(thm)],[c_51,c_51]) ).

cnf(c_122,plain,
    divide(multiply(inverse(X0),X0),X1) = inverse(X1),
    inference(superposition,[status(thm)],[c_64,c_51]) ).

cnf(c_123,plain,
    multiply(divide(X0,X0),X1) = inverse(inverse(X1)),
    inference(superposition,[status(thm)],[c_64,c_51]) ).

cnf(c_132,plain,
    multiply(inverse(divide(X0,X0)),X1) = inverse(inverse(X1)),
    inference(superposition,[status(thm)],[c_118,c_64]) ).

cnf(c_157,plain,
    divide(multiply(inverse(X0),X0),divide(X1,divide(X2,inverse(X1)))) = X2,
    inference(superposition,[status(thm)],[c_122,c_49]) ).

cnf(c_159,plain,
    divide(X0,divide(divide(X1,divide(X2,X0)),X1)) = X2,
    inference(superposition,[status(thm)],[c_49,c_49]) ).

cnf(c_371,plain,
    divide(X0,inverse(divide(X1,X0))) = X1,
    inference(superposition,[status(thm)],[c_51,c_159]) ).

cnf(c_393,plain,
    divide(divide(X0,X1),divide(X2,X1)) = divide(X0,X2),
    inference(superposition,[status(thm)],[c_159,c_49]) ).

cnf(c_505,plain,
    multiply(X0,divide(X1,X0)) = X1,
    inference(demodulation,[status(thm)],[c_371,c_64]) ).

cnf(c_510,plain,
    multiply(X0,inverse(X0)) = divide(X1,X1),
    inference(superposition,[status(thm)],[c_51,c_505]) ).

cnf(c_511,plain,
    multiply(inverse(X0),multiply(X1,X0)) = X1,
    inference(superposition,[status(thm)],[c_64,c_505]) ).

cnf(c_574,plain,
    divide(X0,X0) = divide(X1,X1),
    inference(superposition,[status(thm)],[c_510,c_510]) ).

cnf(c_743,plain,
    multiply(X0,divide(X1,X1)) = X0,
    inference(superposition,[status(thm)],[c_574,c_505]) ).

cnf(c_837,plain,
    multiply(inverse(b3),sP0_iProver_def) = a3,
    inference(superposition,[status(thm)],[c_70,c_511]) ).

cnf(c_838,plain,
    multiply(inverse(c3),sP2_iProver_def) = b3,
    inference(superposition,[status(thm)],[c_72,c_511]) ).

cnf(c_839,plain,
    multiply(inverse(c3),sP1_iProver_def) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_71,c_511]) ).

cnf(c_840,plain,
    multiply(inverse(sP2_iProver_def),sP3_iProver_def) = a3,
    inference(superposition,[status(thm)],[c_73,c_511]) ).

cnf(c_848,plain,
    inverse(inverse(multiply(X0,divide(X1,X1)))) = X0,
    inference(superposition,[status(thm)],[c_511,c_132]) ).

cnf(c_850,plain,
    inverse(inverse(X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_848,c_743]) ).

cnf(c_854,plain,
    multiply(divide(X0,X0),X1) = X1,
    inference(demodulation,[status(thm)],[c_123,c_850]) ).

cnf(c_976,plain,
    multiply(inverse(sP1_iProver_def),sP0_iProver_def) = inverse(c3),
    inference(superposition,[status(thm)],[c_839,c_511]) ).

cnf(c_1081,plain,
    divide(X0,divide(X1,X1)) = X0,
    inference(superposition,[status(thm)],[c_854,c_505]) ).

cnf(c_1135,plain,
    divide(X0,divide(X0,X1)) = X1,
    inference(superposition,[status(thm)],[c_1081,c_49]) ).

cnf(c_1191,plain,
    multiply(divide(X0,X1),X1) = X0,
    inference(superposition,[status(thm)],[c_1135,c_505]) ).

cnf(c_1248,plain,
    multiply(inverse(X0),X1) = divide(X1,X0),
    inference(superposition,[status(thm)],[c_1191,c_511]) ).

cnf(c_1253,plain,
    divide(sP0_iProver_def,b3) = a3,
    inference(demodulation,[status(thm)],[c_837,c_1248]) ).

cnf(c_1255,plain,
    divide(sP2_iProver_def,c3) = b3,
    inference(demodulation,[status(thm)],[c_838,c_1248]) ).

cnf(c_1257,plain,
    divide(sP0_iProver_def,sP1_iProver_def) = inverse(c3),
    inference(demodulation,[status(thm)],[c_976,c_1248]) ).

cnf(c_1259,plain,
    divide(sP3_iProver_def,sP2_iProver_def) = a3,
    inference(demodulation,[status(thm)],[c_840,c_1248]) ).

cnf(c_1266,plain,
    divide(sP0_iProver_def,a3) = b3,
    inference(superposition,[status(thm)],[c_1253,c_1135]) ).

cnf(c_1293,plain,
    divide(sP2_iProver_def,b3) = c3,
    inference(superposition,[status(thm)],[c_1255,c_1135]) ).

cnf(c_1296,plain,
    divide(sP3_iProver_def,a3) = sP2_iProver_def,
    inference(superposition,[status(thm)],[c_1259,c_1135]) ).

cnf(c_1324,plain,
    divide(sP0_iProver_def,inverse(c3)) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_1257,c_1135]) ).

cnf(c_1332,plain,
    inverse(divide(X0,multiply(X1,X0))) = X1,
    inference(demodulation,[status(thm)],[c_157,c_51,c_64,c_1248]) ).

cnf(c_1343,plain,
    inverse(divide(X0,X1)) = divide(X1,X0),
    inference(superposition,[status(thm)],[c_1191,c_1332]) ).

cnf(c_1785,plain,
    divide(sP2_iProver_def,divide(X0,a3)) = divide(sP3_iProver_def,X0),
    inference(superposition,[status(thm)],[c_1296,c_393]) ).

cnf(c_2234,plain,
    divide(sP2_iProver_def,b3) = divide(sP3_iProver_def,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_1266,c_1785]) ).

cnf(c_2244,plain,
    divide(sP3_iProver_def,sP0_iProver_def) = c3,
    inference(light_normalisation,[status(thm)],[c_2234,c_1293]) ).

cnf(c_2251,plain,
    divide(sP0_iProver_def,sP3_iProver_def) = inverse(c3),
    inference(superposition,[status(thm)],[c_2244,c_1343]) ).

cnf(c_2271,plain,
    divide(sP0_iProver_def,inverse(c3)) = sP3_iProver_def,
    inference(superposition,[status(thm)],[c_2251,c_1135]) ).

cnf(c_2273,plain,
    sP1_iProver_def = sP3_iProver_def,
    inference(light_normalisation,[status(thm)],[c_2271,c_1324]) ).

cnf(c_2274,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_2273,c_74]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP523-1 : TPTP v8.1.2. Released v2.6.0.
% 0.12/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n017.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Thu May  2 23:33:06 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.19/0.46  Running UEQ theorem proving
% 0.19/0.46  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
% 3.63/1.15  % SZS status Started for theBenchmark.p
% 3.63/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 3.63/1.15  
% 3.63/1.15  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.63/1.15  
% 3.63/1.15  ------  iProver source info
% 3.63/1.15  
% 3.63/1.15  git: date: 2024-05-02 19:28:25 +0000
% 3.63/1.15  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.63/1.15  git: non_committed_changes: false
% 3.63/1.15  
% 3.63/1.15  ------ Parsing...successful
% 3.63/1.15  
% 3.63/1.15  
% 3.63/1.15  
% 3.63/1.15  ------ Preprocessing... sup_sim: 1  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.63/1.15  
% 3.63/1.15  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.63/1.15  
% 3.63/1.15  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 3.63/1.15  ------ Proving...
% 3.63/1.15  ------ Problem Properties 
% 3.63/1.15  
% 3.63/1.15  
% 3.63/1.15  clauses                                 8
% 3.63/1.15  conjectures                             1
% 3.63/1.15  EPR                                     1
% 3.63/1.15  Horn                                    8
% 3.63/1.15  unary                                   8
% 3.63/1.15  binary                                  0
% 3.63/1.15  lits                                    8
% 3.63/1.15  lits eq                                 8
% 3.63/1.15  fd_pure                                 0
% 3.63/1.15  fd_pseudo                               0
% 3.63/1.15  fd_cond                                 0
% 3.63/1.15  fd_pseudo_cond                          0
% 3.63/1.15  AC symbols                              0
% 3.63/1.15  
% 3.63/1.15  ------ Input Options Time Limit: Unbounded
% 3.63/1.15  
% 3.63/1.15  
% 3.63/1.15  ------ 
% 3.63/1.15  Current options:
% 3.63/1.15  ------ 
% 3.63/1.15  
% 3.63/1.15  
% 3.63/1.15  
% 3.63/1.15  
% 3.63/1.15  ------ Proving...
% 3.63/1.15  
% 3.63/1.15  
% 3.63/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 3.63/1.15  
% 3.63/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.63/1.15  
% 3.63/1.15  
%------------------------------------------------------------------------------