TSTP Solution File: LCL430-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LCL430-1 : 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 02:37:50 EDT 2024

% Result   : Unsatisfiable 14.54s 2.71s
% Output   : CNFRefutation 14.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   17 (  10 unt;   0 nHn;   9 RR)
%            Number of literals    :   27 (   0 equ;  11 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;   7 con; 0-3 aty)
%            Number of variables   :   44 (   9 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    ( ~ c_in(X0,c_PropLog_Othms(c_minus(X1,X2,tc_set(tc_PropLog_Opl(X3))),X3),tc_PropLog_Opl(X3))
    | ~ c_lessequals(X1,X4,tc_set(tc_PropLog_Opl(X3)))
    | c_in(X0,c_PropLog_Othms(c_minus(X4,X2,tc_set(tc_PropLog_Opl(X3))),X3),tc_PropLog_Opl(X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_ODiff__weaken__left_0) ).

cnf(c_52,plain,
    c_lessequals(c_PropLog_Ohyps(X0,c_insert(X1,X2,X3),X3),c_insert(c_PropLog_Opl_Ovar(X1,X3),c_minus(c_PropLog_Ohyps(X0,X2,X3),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X1,X3),c_PropLog_Opl_Ofalse,X3),c_emptyset,tc_PropLog_Opl(X3)),tc_set(tc_PropLog_Opl(X3))),tc_PropLog_Opl(X3)),tc_set(tc_PropLog_Opl(X3))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Ohyps__insert_0) ).

cnf(c_53,plain,
    c_lessequals(c_minus(X0,X1,tc_set(X2)),c_insert(X3,c_minus(X0,c_insert(X3,X1,X2),tc_set(X2)),X2),tc_set(X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Oinsert__Diff__same_0) ).

cnf(c_54,plain,
    c_lessequals(c_minus(c_insert(X0,c_minus(X1,c_insert(X2,c_emptyset,X3),tc_set(X3)),X3),X4,tc_set(X3)),c_insert(X0,c_minus(X1,c_insert(X2,X4,X3),tc_set(X3)),X3),tc_set(X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Oinsert__Diff__subset2_0) ).

cnf(c_56,plain,
    ( ~ c_in(X0,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Ofalse,X2),X3,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2))
    | ~ c_in(X0,c_PropLog_Othms(c_insert(X1,X3,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2))
    | c_in(X0,c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms__excluded__middle__rule_0) ).

cnf(c_57,plain,
    ( ~ c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
    | ~ c_lessequals(X1,X3,tc_set(tc_PropLog_Opl(X2)))
    | c_in(X0,c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Oweaken__left_0) ).

cnf(c_61,negated_conjecture,
    c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X0,t_a),v_F,tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(c_63,negated_conjecture,
    ~ c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,v_t,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_v,t_a),c_PropLog_Opl_Ofalse,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

cnf(c_27507,plain,
    ( ~ c_lessequals(c_minus(c_PropLog_Ohyps(v_p,X0,t_a),v_F,tc_set(tc_PropLog_Opl(t_a))),X1,tc_set(tc_PropLog_Opl(t_a)))
    | c_in(v_p,c_PropLog_Othms(X1,t_a),tc_PropLog_Opl(t_a)) ),
    inference(superposition,[status(thm)],[c_61,c_57]) ).

cnf(c_27533,plain,
    ( ~ c_lessequals(c_PropLog_Ohyps(v_p,X0,t_a),X1,tc_set(tc_PropLog_Opl(t_a)))
    | c_in(v_p,c_PropLog_Othms(c_minus(X1,v_F,tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)) ),
    inference(superposition,[status(thm)],[c_61,c_49]) ).

cnf(c_27567,plain,
    c_in(v_p,c_PropLog_Othms(c_insert(X0,c_minus(c_PropLog_Ohyps(v_p,X1,t_a),c_insert(X0,v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
    inference(superposition,[status(thm)],[c_53,c_27507]) ).

cnf(c_27635,plain,
    c_in(v_p,c_PropLog_Othms(c_minus(c_insert(c_PropLog_Opl_Ovar(X0,t_a),c_minus(c_PropLog_Ohyps(v_p,X1,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X0,t_a),c_PropLog_Opl_Ofalse,t_a),c_emptyset,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),v_F,tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)),
    inference(superposition,[status(thm)],[c_52,c_27533]) ).

cnf(c_27804,plain,
    ( ~ c_in(v_p,c_PropLog_Othms(c_insert(X0,c_minus(c_PropLog_Ohyps(v_p,X1,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Ofalse,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
    | c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X1,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Ofalse,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)) ),
    inference(superposition,[status(thm)],[c_27567,c_56]) ).

cnf(c_28060,plain,
    ( ~ c_lessequals(c_minus(c_insert(c_PropLog_Opl_Ovar(X0,t_a),c_minus(c_PropLog_Ohyps(v_p,X1,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X0,t_a),c_PropLog_Opl_Ofalse,t_a),c_emptyset,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),v_F,tc_set(tc_PropLog_Opl(t_a))),X2,tc_set(tc_PropLog_Opl(t_a)))
    | c_in(v_p,c_PropLog_Othms(X2,t_a),tc_PropLog_Opl(t_a)) ),
    inference(superposition,[status(thm)],[c_27635,c_57]) ).

cnf(c_29770,plain,
    c_in(v_p,c_PropLog_Othms(c_insert(c_PropLog_Opl_Ovar(X0,t_a),c_minus(c_PropLog_Ohyps(v_p,X1,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X0,t_a),c_PropLog_Opl_Ofalse,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
    inference(superposition,[status(thm)],[c_54,c_28060]) ).

cnf(c_53054,plain,
    c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X0,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X1,t_a),c_PropLog_Opl_Ofalse,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)),
    inference(superposition,[status(thm)],[c_29770,c_27804]) ).

cnf(c_53056,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_63,c_53054]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : LCL430-1 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.14  % Command  : run_iprover %s %d THM
% 0.15/0.35  % Computer : n004.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Thu May  2 19:03:33 EDT 2024
% 0.15/0.35  % 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 --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 14.54/2.71  % SZS status Started for theBenchmark.p
% 14.54/2.71  % SZS status Unsatisfiable for theBenchmark.p
% 14.54/2.71  
% 14.54/2.71  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 14.54/2.71  
% 14.54/2.71  ------  iProver source info
% 14.54/2.71  
% 14.54/2.71  git: date: 2024-05-02 19:28:25 +0000
% 14.54/2.71  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 14.54/2.71  git: non_committed_changes: false
% 14.54/2.71  
% 14.54/2.71  ------ Parsing...successful
% 14.54/2.71  
% 14.54/2.71  
% 14.54/2.71  
% 14.54/2.71  ------ Preprocessing... sup_sim: 1  sf_s  rm: 825 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e  sup_sim: 0  sf_s  rm: 70 0s  sf_e  pe_s  pe_e 
% 14.54/2.71  
% 14.54/2.71  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 14.54/2.71  
% 14.54/2.71  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 14.54/2.71  ------ Proving...
% 14.54/2.71  ------ Problem Properties 
% 14.54/2.71  
% 14.54/2.71  
% 14.54/2.71  clauses                                 315
% 14.54/2.71  conjectures                             4
% 14.54/2.71  EPR                                     26
% 14.54/2.71  Horn                                    288
% 14.54/2.71  unary                                   86
% 14.54/2.71  binary                                  178
% 14.54/2.71  lits                                    595
% 14.54/2.71  lits eq                                 171
% 14.54/2.71  fd_pure                                 0
% 14.54/2.71  fd_pseudo                               0
% 14.54/2.71  fd_cond                                 21
% 14.54/2.71  fd_pseudo_cond                          43
% 14.54/2.71  AC symbols                              0
% 14.54/2.71  
% 14.54/2.71  ------ Input Options Time Limit: Unbounded
% 14.54/2.71  
% 14.54/2.71  
% 14.54/2.71  ------ 
% 14.54/2.71  Current options:
% 14.54/2.71  ------ 
% 14.54/2.71  
% 14.54/2.71  
% 14.54/2.71  
% 14.54/2.71  
% 14.54/2.71  ------ Proving...
% 14.54/2.71  
% 14.54/2.71  
% 14.54/2.71  % SZS status Unsatisfiable for theBenchmark.p
% 14.54/2.71  
% 14.54/2.71  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 14.54/2.71  
% 14.54/2.71  
%------------------------------------------------------------------------------