TSTP Solution File: LCL433-2 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : LCL433-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n012.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 : Thu Aug 31 07:44:25 EDT 2023

% Result   : Unsatisfiable 0.48s 1.19s
% Output   : CNFRefutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   19 (   6 unt;   0 nHn;  15 RR)
%            Number of literals    :   35 (   0 equ;  17 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   :   30 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,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_50,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_51,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_52,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_53,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/theBenchmark.p',cls_PropLog_Othms_OH_0) ).

cnf(c_54,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_55,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_56,plain,
    c_in(X0,c_insert(X0,X1,X2),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).

cnf(c_90,plain,
    ( ~ c_in(X0,c_insert(X0,X1,tc_PropLog_Opl(X2)),tc_PropLog_Opl(X2))
    | c_in(X0,c_PropLog_Othms(c_insert(X0,X1,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2)) ),
    inference(instantiation,[status(thm)],[c_53]) ).

cnf(c_91,plain,
    c_in(X0,c_insert(X0,X1,tc_PropLog_Opl(X2)),tc_PropLog_Opl(X2)),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_94,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_52]) ).

cnf(c_95,plain,
    ( ~ c_PropLog_Osat(v_F,c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),t_a)
    | c_in(c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a)) ),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_99,plain,
    ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,X1,X2),c_PropLog_Othms(c_insert(X0,X3,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2))
    | ~ c_in(X0,c_PropLog_Othms(c_insert(X0,X3,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2))
    | c_in(X1,c_PropLog_Othms(c_insert(X0,X3,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2)) ),
    inference(instantiation,[status(thm)],[c_54]) ).

cnf(c_105,plain,
    ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a))
    | c_in(c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),c_PropLog_Othms(c_insert(X0,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
    inference(instantiation,[status(thm)],[c_55]) ).

cnf(c_117,plain,
    ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
    | ~ c_in(v_x,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
    | 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)) ),
    inference(instantiation,[status(thm)],[c_99]) ).

cnf(c_121,plain,
    ( ~ c_in(v_x,c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a))
    | c_in(v_x,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
    inference(instantiation,[status(thm)],[c_90]) ).

cnf(c_172,plain,
    ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a))
    | c_in(c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
    inference(instantiation,[status(thm)],[c_105]) ).

cnf(c_185,plain,
    c_in(v_x,c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),
    inference(instantiation,[status(thm)],[c_91]) ).

cnf(c_186,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_185,c_172,c_121,c_117,c_95,c_94,c_50,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : LCL433-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n012.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 Aug 24 20:49:12 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.48/1.19  % SZS status Started for theBenchmark.p
% 0.48/1.19  % SZS status Unsatisfiable for theBenchmark.p
% 0.48/1.19  
% 0.48/1.19  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.48/1.19  
% 0.48/1.19  ------  iProver source info
% 0.48/1.19  
% 0.48/1.19  git: date: 2023-05-31 18:12:56 +0000
% 0.48/1.19  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.48/1.19  git: non_committed_changes: false
% 0.48/1.19  git: last_make_outside_of_git: false
% 0.48/1.19  
% 0.48/1.19  ------ Parsing...successful
% 0.48/1.19  
% 0.48/1.19  
% 0.48/1.19  
% 0.48/1.19  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 0.48/1.19  
% 0.48/1.19  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.48/1.19  ------ Proving...
% 0.48/1.19  ------ Problem Properties 
% 0.48/1.19  
% 0.48/1.19  
% 0.48/1.19  clauses                                 8
% 0.48/1.19  conjectures                             3
% 0.48/1.19  EPR                                     0
% 0.48/1.19  Horn                                    8
% 0.48/1.19  unary                                   3
% 0.48/1.19  binary                                  4
% 0.48/1.19  lits                                    14
% 0.48/1.19  lits eq                                 0
% 0.48/1.19  fd_pure                                 0
% 0.48/1.19  fd_pseudo                               0
% 0.48/1.19  fd_cond                                 0
% 0.48/1.19  fd_pseudo_cond                          0
% 0.48/1.19  AC symbols                              0
% 0.48/1.19  
% 0.48/1.19  ------ Schedule dynamic 5 is on 
% 0.48/1.19  
% 0.48/1.19  ------ no equalities: superposition off 
% 0.48/1.19  
% 0.48/1.19  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.48/1.19  
% 0.48/1.19  
% 0.48/1.19  ------ 
% 0.48/1.19  Current options:
% 0.48/1.19  ------ 
% 0.48/1.19  
% 0.48/1.19  
% 0.48/1.19  
% 0.48/1.19  
% 0.48/1.19  ------ Proving...
% 0.48/1.19  
% 0.48/1.19  
% 0.48/1.19  % SZS status Unsatisfiable for theBenchmark.p
% 0.48/1.19  
% 0.48/1.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.48/1.19  
% 0.48/1.19  
%------------------------------------------------------------------------------