TSTP Solution File: LCL439-2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LCL439-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n007.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 02:37:53 EDT 2024

% Result   : Unsatisfiable 2.96s 1.18s
% Output   : CNFRefutation 2.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   20 (   9 unt;   0 nHn;  14 RR)
%            Number of literals    :   33 (   0 equ;  20 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 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   :   39 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,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/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Odeduction_0) ).

cnf(c_50,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_51,plain,
    ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Ofalse,X1),c_PropLog_Othms(X2,X1),tc_PropLog_Opl(X1))
    | ~ c_in(X0,c_PropLog_Othms(X2,X1),tc_PropLog_Opl(X1))
    | c_in(X3,c_PropLog_Othms(X2,X1),tc_PropLog_Opl(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms__notE_0) ).

cnf(c_52,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_53,plain,
    c_in(X0,c_insert(X0,X1,X2),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).

cnf(c_54,negated_conjecture,
    c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_55,negated_conjecture,
    ~ 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)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(c_84,negated_conjecture,
    ~ 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(subtyping,[status(esa)],[c_55]) ).

cnf(c_85,negated_conjecture,
    c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
    inference(subtyping,[status(esa)],[c_54]) ).

cnf(c_86,plain,
    c_in(X0_13,c_insert(X0_13,X0_14,X0_15),X0_15),
    inference(subtyping,[status(esa)],[c_53]) ).

cnf(c_87,plain,
    ( ~ c_in(X0_13,c_PropLog_Othms(X0_14,X0_16),tc_PropLog_Opl(X0_16))
    | c_in(X0_13,c_PropLog_Othms(c_insert(X1_13,X0_14,tc_PropLog_Opl(X0_16)),X0_16),tc_PropLog_Opl(X0_16)) ),
    inference(subtyping,[status(esa)],[c_52]) ).

cnf(c_88,plain,
    ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0_13,c_PropLog_Opl_Ofalse,X0_16),c_PropLog_Othms(X0_14,X0_16),tc_PropLog_Opl(X0_16))
    | ~ c_in(X0_13,c_PropLog_Othms(X0_14,X0_16),tc_PropLog_Opl(X0_16))
    | c_in(X1_13,c_PropLog_Othms(X0_14,X0_16),tc_PropLog_Opl(X0_16)) ),
    inference(subtyping,[status(esa)],[c_51]) ).

cnf(c_89,plain,
    ( ~ c_in(X0_13,X0_14,tc_PropLog_Opl(X0_16))
    | c_in(X0_13,c_PropLog_Othms(X0_14,X0_16),tc_PropLog_Opl(X0_16)) ),
    inference(subtyping,[status(esa)],[c_50]) ).

cnf(c_90,plain,
    ( ~ c_in(X0_13,c_PropLog_Othms(c_insert(X1_13,X0_14,tc_PropLog_Opl(X0_16)),X0_16),tc_PropLog_Opl(X0_16))
    | c_in(c_PropLog_Opl_Oop_A_N_62(X1_13,X0_13,X0_16),c_PropLog_Othms(X0_14,X0_16),tc_PropLog_Opl(X0_16)) ),
    inference(subtyping,[status(esa)],[c_49]) ).

cnf(c_106,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)),
    inference(resolution,[status(thm)],[c_90,c_84]) ).

cnf(c_124,plain,
    ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0_13,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
    | ~ c_in(X0_13,c_PropLog_Othms(c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
    inference(resolution,[status(thm)],[c_88,c_106]) ).

cnf(c_183,plain,
    ( ~ c_in(X0_13,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(X0_13,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
    inference(resolution,[status(thm)],[c_124,c_87]) ).

cnf(c_200,plain,
    ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0_13,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))
    | ~ c_in(X0_13,c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)) ),
    inference(resolution,[status(thm)],[c_183,c_89]) ).

cnf(c_235,plain,
    ~ c_in(v_p,c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),
    inference(resolution,[status(thm)],[c_200,c_85]) ).

cnf(c_247,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_235,c_86]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : LCL439-2 : TPTP v8.1.2. Released v3.2.0.
% 0.04/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.36  % Computer : n007.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu May  2 18:47:50 EDT 2024
% 0.14/0.36  % 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
% 2.96/1.18  % SZS status Started for theBenchmark.p
% 2.96/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 2.96/1.18  
% 2.96/1.18  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.96/1.18  
% 2.96/1.18  ------  iProver source info
% 2.96/1.18  
% 2.96/1.18  git: date: 2024-05-02 19:28:25 +0000
% 2.96/1.18  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.96/1.18  git: non_committed_changes: false
% 2.96/1.18  
% 2.96/1.18  ------ Parsing...successful
% 2.96/1.18  
% 2.96/1.18  
% 2.96/1.18  
% 2.96/1.18  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 2.96/1.18  
% 2.96/1.18  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.96/1.18  ------ Proving...
% 2.96/1.18  ------ Problem Properties 
% 2.96/1.18  
% 2.96/1.18  
% 2.96/1.18  clauses                                 7
% 2.96/1.18  conjectures                             2
% 2.96/1.18  EPR                                     0
% 2.96/1.18  Horn                                    7
% 2.96/1.18  unary                                   3
% 2.96/1.18  binary                                  3
% 2.96/1.18  lits                                    12
% 2.96/1.18  lits eq                                 0
% 2.96/1.18  fd_pure                                 0
% 2.96/1.18  fd_pseudo                               0
% 2.96/1.18  fd_cond                                 0
% 2.96/1.18  fd_pseudo_cond                          0
% 2.96/1.18  AC symbols                              0
% 2.96/1.18  
% 2.96/1.18  ------ Input Options Time Limit: Unbounded
% 2.96/1.18  
% 2.96/1.18  
% 2.96/1.18  ------ 
% 2.96/1.18  Current options:
% 2.96/1.18  ------ 
% 2.96/1.18  
% 2.96/1.18  
% 2.96/1.18  
% 2.96/1.18  
% 2.96/1.18  ------ Proving...
% 2.96/1.18  
% 2.96/1.18  
% 2.96/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 2.96/1.18  
% 2.96/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.96/1.18  
% 2.96/1.18  
%------------------------------------------------------------------------------