TSTP Solution File: GRP195-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP195-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n025.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 02:21:42 EDT 2024

% Result   : Unsatisfiable 3.58s 1.09s
% Output   : CNFRefutation 3.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   12 (  12 unt;   0 nHn;   5 RR)
%            Number of literals    :   12 (  11 equ;   4 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   20 (   0 sgn)

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

cnf(c_50,negated_conjecture,
    multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))) != multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(c_51,plain,
    multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP008-0.ax',associativity_of_multiply) ).

cnf(c_152,plain,
    multiply(X0,multiply(multiply(X1,X2),multiply(X1,X2))) = multiply(X1,multiply(X2,multiply(multiply(X1,X2),X0))),
    inference(superposition,[status(thm)],[c_49,c_51]) ).

cnf(c_155,plain,
    multiply(multiply(X0,multiply(X0,X1)),X2) = multiply(X1,multiply(multiply(X0,X0),X2)),
    inference(superposition,[status(thm)],[c_49,c_51]) ).

cnf(c_156,plain,
    multiply(X0,multiply(X0,multiply(X1,X2))) = multiply(X1,multiply(X2,multiply(X0,X0))),
    inference(superposition,[status(thm)],[c_49,c_51]) ).

cnf(c_159,plain,
    multiply(X0,multiply(X0,multiply(X1,X2))) = multiply(X1,multiply(X0,multiply(X0,X2))),
    inference(demodulation,[status(thm)],[c_155,c_51]) ).

cnf(c_168,plain,
    multiply(X0,multiply(X1,multiply(X0,multiply(X1,X2)))) = multiply(X2,multiply(X0,multiply(X1,multiply(X0,X1)))),
    inference(demodulation,[status(thm)],[c_152,c_51]) ).

cnf(c_174,plain,
    multiply(a,multiply(a,multiply(b,multiply(a,multiply(a,multiply(b,multiply(b,b))))))) != multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))))),
    inference(demodulation,[status(thm)],[c_50,c_159]) ).

cnf(c_565,plain,
    multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,multiply(b,multiply(a,b))))))) != multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))))),
    inference(superposition,[status(thm)],[c_156,c_174]) ).

cnf(c_728,plain,
    multiply(b,multiply(b,multiply(b,multiply(b,multiply(a,multiply(a,multiply(a,a))))))) != multiply(b,multiply(b,multiply(b,multiply(b,multiply(a,multiply(a,multiply(a,a))))))),
    inference(demodulation,[status(thm)],[c_565,c_156,c_159,c_168]) ).

cnf(c_729,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_728]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem  : GRP195-1 : TPTP v8.1.2. Released v2.2.0.
% 0.09/0.11  % Command  : run_iprover %s %d THM
% 0.10/0.31  % Computer : n025.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 23:59:28 EDT 2024
% 0.10/0.31  % CPUTime  : 
% 0.16/0.41  Running UEQ theorem proving
% 0.16/0.41  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
% 3.58/1.09  % SZS status Started for theBenchmark.p
% 3.58/1.09  % SZS status Unsatisfiable for theBenchmark.p
% 3.58/1.09  
% 3.58/1.09  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.58/1.09  
% 3.58/1.09  ------  iProver source info
% 3.58/1.09  
% 3.58/1.09  git: date: 2024-05-02 19:28:25 +0000
% 3.58/1.09  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.58/1.09  git: non_committed_changes: false
% 3.58/1.09  
% 3.58/1.09  ------ Parsing...successful
% 3.58/1.09  
% 3.58/1.09  
% 3.58/1.09  
% 3.58/1.09  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.58/1.09  
% 3.58/1.09  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.58/1.09  
% 3.58/1.09  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 3.58/1.09  ------ Proving...
% 3.58/1.09  ------ Problem Properties 
% 3.58/1.09  
% 3.58/1.09  
% 3.58/1.09  clauses                                 3
% 3.58/1.09  conjectures                             1
% 3.58/1.09  EPR                                     0
% 3.58/1.09  Horn                                    3
% 3.58/1.09  unary                                   3
% 3.58/1.09  binary                                  0
% 3.58/1.09  lits                                    3
% 3.58/1.09  lits eq                                 3
% 3.58/1.09  fd_pure                                 0
% 3.58/1.09  fd_pseudo                               0
% 3.58/1.09  fd_cond                                 0
% 3.58/1.09  fd_pseudo_cond                          0
% 3.58/1.09  AC symbols                              0
% 3.58/1.09  
% 3.58/1.09  ------ Input Options Time Limit: Unbounded
% 3.58/1.09  
% 3.58/1.09  
% 3.58/1.09  ------ 
% 3.58/1.09  Current options:
% 3.58/1.09  ------ 
% 3.58/1.09  
% 3.58/1.09  
% 3.58/1.09  
% 3.58/1.09  
% 3.58/1.09  ------ Proving...
% 3.58/1.09  
% 3.58/1.09  
% 3.58/1.09  % SZS status Unsatisfiable for theBenchmark.p
% 3.58/1.09  
% 3.58/1.09  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.58/1.09  
% 3.58/1.09  
%------------------------------------------------------------------------------