TSTP Solution File: LCL443-2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LCL443-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n004.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 02:37:54 EDT 2024

% Result   : Unsatisfiable 0.46s 1.16s
% Output   : CNFRefutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   24 (   7 unt;   0 nHn;  20 RR)
%            Number of literals    :   46 (   0 equ;  23 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   :   41 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,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_50,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_51,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_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(v_p,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_q,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_1) ).

cnf(c_56,negated_conjecture,
    ~ 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_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(c_90,plain,
    c_in(X0_13,c_insert(X0_13,X0_14,X0_15),X0_15),
    inference(subtyping,[status(esa)],[c_53]) ).

cnf(c_91,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_92,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_51]) ).

cnf(c_93,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_50]) ).

cnf(c_94,plain,
    ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0_13,X1_13,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_49]) ).

cnf(c_100,plain,
    ( ~ c_in(c_PropLog_Opl_Ofalse,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,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,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
    inference(instantiation,[status(thm)],[c_93]) ).

cnf(c_114,plain,
    ( ~ c_in(X0_13,c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a))
    | c_in(X0_13,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
    inference(instantiation,[status(thm)],[c_92]) ).

cnf(c_115,plain,
    ( ~ c_in(X0_13,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))
    | c_in(X0_13,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
    inference(instantiation,[status(thm)],[c_91]) ).

cnf(c_138,plain,
    ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(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(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
    inference(instantiation,[status(thm)],[c_114]) ).

cnf(c_139,plain,
    ( ~ c_in(v_p,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))
    | c_in(v_p,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
    inference(instantiation,[status(thm)],[c_115]) ).

cnf(c_140,plain,
    ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))
    | c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
    inference(instantiation,[status(thm)],[c_115]) ).

cnf(c_178,plain,
    ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0_13,X1_13,t_a),c_PropLog_Othms(c_insert(X2_13,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
    | ~ c_in(X0_13,c_PropLog_Othms(c_insert(X2_13,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
    | c_in(X1_13,c_PropLog_Othms(c_insert(X2_13,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
    inference(instantiation,[status(thm)],[c_94]) ).

cnf(c_195,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),
    inference(instantiation,[status(thm)],[c_90]) ).

cnf(c_309,plain,
    ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
    | ~ c_in(v_q,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
    | c_in(c_PropLog_Opl_Ofalse,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
    inference(instantiation,[status(thm)],[c_178]) ).

cnf(c_342,plain,
    ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
    | ~ c_in(v_p,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
    | c_in(v_q,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
    inference(instantiation,[status(thm)],[c_178]) ).

cnf(c_343,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_342,c_309,c_195,c_140,c_139,c_138,c_100,c_56,c_55,c_54]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : LCL443-2 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n004.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Thu May  2 19:10:33 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  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
% 0.46/1.16  % SZS status Started for theBenchmark.p
% 0.46/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 0.46/1.16  
% 0.46/1.16  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.46/1.16  
% 0.46/1.16  ------  iProver source info
% 0.46/1.16  
% 0.46/1.16  git: date: 2024-05-02 19:28:25 +0000
% 0.46/1.16  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.46/1.16  git: non_committed_changes: false
% 0.46/1.16  
% 0.46/1.16  ------ Parsing...successful
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 0.46/1.16  
% 0.46/1.16  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.46/1.16  ------ Proving...
% 0.46/1.16  ------ Problem Properties 
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  clauses                                 8
% 0.46/1.16  conjectures                             3
% 0.46/1.16  EPR                                     0
% 0.46/1.16  Horn                                    8
% 0.46/1.16  unary                                   4
% 0.46/1.16  binary                                  3
% 0.46/1.16  lits                                    13
% 0.46/1.16  lits eq                                 0
% 0.46/1.16  fd_pure                                 0
% 0.46/1.16  fd_pseudo                               0
% 0.46/1.16  fd_cond                                 0
% 0.46/1.16  fd_pseudo_cond                          0
% 0.46/1.16  AC symbols                              0
% 0.46/1.16  
% 0.46/1.16  ------ Input Options Time Limit: Unbounded
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  ------ 
% 0.46/1.16  Current options:
% 0.46/1.16  ------ 
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  ------ Proving...
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 0.46/1.16  
% 0.46/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.46/1.16  
% 0.46/1.16  
%------------------------------------------------------------------------------