TSTP Solution File: LCL445-2 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : LCL445-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n015.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 07:44:32 EDT 2023

% Result   : Unsatisfiable 1.62s 1.20s
% Output   : CNFRefutation 1.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   14 (   6 unt;   0 nHn;  13 RR)
%            Number of literals    :   27 (   0 equ;  14 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-3 aty)
%            Number of variables   :   14 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    c_in(v_q,c_PropLog_Othms(c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_50,negated_conjecture,
    c_in(v_q,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(c_51,negated_conjecture,
    ~ c_in(v_q,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(c_52,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(X1,X0,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Odeduction_0) ).

cnf(c_53,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/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OMP_0) ).

cnf(c_54,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X0,X1,X2),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Ofalse,X2),X1,X2),X1,X2),X2),c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms__excluded__middle_0) ).

cnf(c_75,plain,
    ( ~ c_in(v_q,c_PropLog_Othms(c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
    | c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
    inference(instantiation,[status(thm)],[c_52]) ).

cnf(c_76,plain,
    ( ~ c_in(v_q,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
    | c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),v_q,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
    inference(instantiation,[status(thm)],[c_52]) ).

cnf(c_87,plain,
    ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),X0,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))
    | ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))
    | c_in(X0,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
    inference(instantiation,[status(thm)],[c_53]) ).

cnf(c_89,plain,
    ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),v_q,t_a),X0,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))
    | ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),v_q,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))
    | c_in(X0,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
    inference(instantiation,[status(thm)],[c_53]) ).

cnf(c_109,plain,
    ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),v_q,t_a),v_q,t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))
    | ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))
    | c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),v_q,t_a),v_q,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
    inference(instantiation,[status(thm)],[c_87]) ).

cnf(c_110,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),v_q,t_a),v_q,t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
    inference(instantiation,[status(thm)],[c_54]) ).

cnf(c_181,plain,
    ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),v_q,t_a),v_q,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))
    | ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),v_q,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))
    | c_in(v_q,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
    inference(instantiation,[status(thm)],[c_89]) ).

cnf(c_182,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_181,c_110,c_109,c_76,c_75,c_50,c_49,c_51]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LCL445-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n015.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu Aug 24 17:36:21 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  Running first-order theorem proving
% 0.20/0.46  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.62/1.20  % SZS status Started for theBenchmark.p
% 1.62/1.20  % SZS status Unsatisfiable for theBenchmark.p
% 1.62/1.20  
% 1.62/1.20  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.62/1.20  
% 1.62/1.20  ------  iProver source info
% 1.62/1.20  
% 1.62/1.20  git: date: 2023-05-31 18:12:56 +0000
% 1.62/1.20  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.62/1.20  git: non_committed_changes: false
% 1.62/1.20  git: last_make_outside_of_git: false
% 1.62/1.20  
% 1.62/1.20  ------ Parsing...successful
% 1.62/1.20  
% 1.62/1.20  
% 1.62/1.20  
% 1.62/1.20  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 1.62/1.20  
% 1.62/1.20  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.62/1.20  ------ Proving...
% 1.62/1.20  ------ Problem Properties 
% 1.62/1.20  
% 1.62/1.20  
% 1.62/1.20  clauses                                 6
% 1.62/1.20  conjectures                             3
% 1.62/1.20  EPR                                     0
% 1.62/1.20  Horn                                    6
% 1.62/1.20  unary                                   4
% 1.62/1.20  binary                                  1
% 1.62/1.20  lits                                    9
% 1.62/1.20  lits eq                                 0
% 1.62/1.20  fd_pure                                 0
% 1.62/1.20  fd_pseudo                               0
% 1.62/1.20  fd_cond                                 0
% 1.62/1.20  fd_pseudo_cond                          0
% 1.62/1.20  AC symbols                              0
% 1.62/1.20  
% 1.62/1.20  ------ Schedule dynamic 5 is on 
% 1.62/1.20  
% 1.62/1.20  ------ no equalities: superposition off 
% 1.62/1.20  
% 1.62/1.20  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.62/1.20  
% 1.62/1.20  
% 1.62/1.20  ------ 
% 1.62/1.20  Current options:
% 1.62/1.20  ------ 
% 1.62/1.20  
% 1.62/1.20  
% 1.62/1.20  
% 1.62/1.20  
% 1.62/1.20  ------ Proving...
% 1.62/1.20  
% 1.62/1.20  
% 1.62/1.20  % SZS status Unsatisfiable for theBenchmark.p
% 1.62/1.20  
% 1.62/1.20  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.62/1.20  
% 1.62/1.20  
%------------------------------------------------------------------------------