TSTP Solution File: LCL433-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LCL433-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n002.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 02:37:51 EDT 2024

% Result   : Unsatisfiable 72.73s 10.78s
% Output   : CNFRefutation 72.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   15 (   5 unt;   0 nHn;  13 RR)
%            Number of literals    :   29 (   0 equ;  16 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :   34 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_51,plain,
    ( ~ c_PropLog_Osat(c_insert(X0,X1,tc_PropLog_Opl(X2)),X3,X2)
    | c_PropLog_Osat(X1,c_PropLog_Opl_Oop_A_N_62(X0,X3,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Osat__imp_0) ).

cnf(c_52,plain,
    ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,X1,X2),c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2))
    | ~ c_in(X0,c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2))
    | c_in(X1,c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms_OMP_0) ).

cnf(c_54,plain,
    ( ~ c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
    | c_in(X0,c_PropLog_Othms(c_insert(X3,X1,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Oweaken__left__insert_0) ).

cnf(c_57,negated_conjecture,
    c_PropLog_Osat(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),v_xa,t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(c_58,negated_conjecture,
    ~ c_in(v_xa,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(c_59,negated_conjecture,
    ( ~ c_PropLog_Osat(v_F,X0,t_a)
    | c_in(X0,c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(c_1394,plain,
    c_in(X0,c_insert(X0,X1,X2),X2),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OinsertCI_1) ).

cnf(c_1426,plain,
    ( ~ c_in(X0,X1,tc_PropLog_Opl(X2))
    | c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL005-0.ax',cls_PropLog_Othms_OH_0) ).

cnf(c_2660,plain,
    ( ~ c_PropLog_Osat(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),v_xa,t_a)
    | c_PropLog_Osat(v_F,c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),t_a) ),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_3628,plain,
    ( ~ c_in(X0,c_PropLog_Othms(c_insert(X1,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
    | ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,X4,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
    | c_in(X4,c_PropLog_Othms(c_insert(X1,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
    inference(superposition,[status(thm)],[c_54,c_52]) ).

cnf(c_4545,plain,
    ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,X1,X2),c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2))
    | ~ c_in(X0,c_insert(X4,X3,tc_PropLog_Opl(X2)),tc_PropLog_Opl(X2))
    | c_in(X1,c_PropLog_Othms(c_insert(X4,X3,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2)) ),
    inference(superposition,[status(thm)],[c_1426,c_3628]) ).

cnf(c_6840,plain,
    ( ~ c_in(X0,c_insert(X1,v_F,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a))
    | ~ c_PropLog_Osat(v_F,c_PropLog_Opl_Oop_A_N_62(X0,X2,t_a),t_a)
    | c_in(X2,c_PropLog_Othms(c_insert(X1,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
    inference(superposition,[status(thm)],[c_59,c_4545]) ).

cnf(c_7120,plain,
    ( ~ c_PropLog_Osat(v_F,c_PropLog_Opl_Oop_A_N_62(X0,X1,t_a),t_a)
    | c_in(X1,c_PropLog_Othms(c_insert(X0,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
    inference(superposition,[status(thm)],[c_1394,c_6840]) ).

cnf(c_7202,plain,
    ~ c_PropLog_Osat(v_F,c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),t_a),
    inference(superposition,[status(thm)],[c_7120,c_58]) ).

cnf(c_7204,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_7202,c_2660,c_57]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : LCL433-1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n002.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May  2 19:26:42 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.21/0.49  Running first-order theorem proving
% 0.21/0.49  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 72.73/10.78  % SZS status Started for theBenchmark.p
% 72.73/10.78  % SZS status Unsatisfiable for theBenchmark.p
% 72.73/10.78  
% 72.73/10.78  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 72.73/10.78  
% 72.73/10.78  ------  iProver source info
% 72.73/10.78  
% 72.73/10.78  git: date: 2024-05-02 19:28:25 +0000
% 72.73/10.78  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 72.73/10.78  git: non_committed_changes: false
% 72.73/10.78  
% 72.73/10.78  ------ Parsing...successful
% 72.73/10.78  
% 72.73/10.78  
% 72.73/10.78  
% 72.73/10.78  ------ Preprocessing... sf_s  rm: 823 0s  sf_e  sf_s  rm: 43 0s  sf_e 
% 72.73/10.78  
% 72.73/10.78  ------ Preprocessing...
% 72.73/10.78  
% 72.73/10.78  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 72.73/10.78  ------ Proving...
% 72.73/10.78  ------ Problem Properties 
% 72.73/10.78  
% 72.73/10.78  
% 72.73/10.78  clauses                                 568
% 72.73/10.78  conjectures                             5
% 72.73/10.78  EPR                                     284
% 72.73/10.78  Horn                                    541
% 72.73/10.78  unary                                   131
% 72.73/10.78  binary                                  380
% 72.73/10.78  lits                                    1062
% 72.73/10.78  lits eq                                 166
% 72.73/10.78  fd_pure                                 0
% 72.73/10.78  fd_pseudo                               0
% 72.73/10.78  fd_cond                                 21
% 72.73/10.78  fd_pseudo_cond                          40
% 72.73/10.78  AC symbols                              0
% 72.73/10.78  
% 72.73/10.78  ------ Input Options Time Limit: Unbounded
% 72.73/10.78  
% 72.73/10.78  
% 72.73/10.78  ------ 
% 72.73/10.78  Current options:
% 72.73/10.78  ------ 
% 72.73/10.78  
% 72.73/10.78  
% 72.73/10.78  
% 72.73/10.78  
% 72.73/10.78  ------ Proving...
% 72.73/10.78  
% 72.73/10.78  
% 72.73/10.78  % SZS status Unsatisfiable for theBenchmark.p
% 72.73/10.78  
% 72.73/10.78  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 72.73/10.78  
% 72.73/10.78  
%------------------------------------------------------------------------------