TSTP Solution File: LCL442-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LCL442-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n027.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 7.92s 1.61s
% Output   : CNFRefutation 7.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   31 (   6 unt;   2 nHn;  24 RR)
%            Number of literals    :   62 (   0 equ;  41 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-3 aty)
%            Number of variables   :   35 (   9 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,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(c_PropLog_Opl_Oop_A_N_62(X0,X3,X1),c_PropLog_Othms(X2,X1),tc_PropLog_Opl(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Ofalse__imp_0) ).

cnf(c_50,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(X3,c_PropLog_Othms(X2,X1),tc_PropLog_Opl(X1))
    | c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X3,X0,X1),c_PropLog_Opl_Ofalse,X1),c_PropLog_Othms(X2,X1),tc_PropLog_Opl(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Oimp__false_0) ).

cnf(c_52,plain,
    ( ~ c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
    | c_in(X0,c_PropLog_Othms(c_union(X1,X3,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Oweaken__left__Un1_0) ).

cnf(c_53,plain,
    ( ~ c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
    | c_in(X0,c_PropLog_Othms(c_union(X3,X1,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Oweaken__left__Un2_0) ).

cnf(c_54,plain,
    ( ~ c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
    | c_in(c_PropLog_Opl_Oop_A_N_62(X3,X0,X2),c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Oweaken__right_0) ).

cnf(c_55,negated_conjecture,
    ( ~ c_PropLog_Oeval(v_tt,v_pl1,t_a)
    | c_in(v_pl1,c_PropLog_Othms(c_PropLog_Ohyps(v_pl1,v_tt,t_a),t_a),tc_PropLog_Opl(t_a)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_56,negated_conjecture,
    ( c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_PropLog_Ohyps(v_pl1,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))
    | c_PropLog_Oeval(v_tt,v_pl1,t_a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(c_57,negated_conjecture,
    ( ~ c_PropLog_Oeval(v_tt,v_pl2,t_a)
    | c_in(v_pl2,c_PropLog_Othms(c_PropLog_Ohyps(v_pl2,v_tt,t_a),t_a),tc_PropLog_Opl(t_a)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(c_58,negated_conjecture,
    ( c_in(c_PropLog_Opl_Oop_A_N_62(v_pl2,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_PropLog_Ohyps(v_pl2,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))
    | c_PropLog_Oeval(v_tt,v_pl2,t_a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(c_59,negated_conjecture,
    ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,v_pl2,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
    | c_PropLog_Oeval(v_tt,v_pl1,t_a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(c_60,negated_conjecture,
    ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,v_pl2,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
    | ~ c_PropLog_Oeval(v_tt,v_pl2,t_a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).

cnf(c_61,negated_conjecture,
    ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pl1,v_pl2,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
    | ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,v_pl2,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).

cnf(c_64,negated_conjecture,
    ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pl1,v_pl2,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
    | ~ c_PropLog_Oeval(v_tt,v_pl1,t_a)
    | c_PropLog_Oeval(v_tt,v_pl2,t_a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_9) ).

cnf(c_23827,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(c_PropLog_Opl_Oop_A_N_62(X0,X3,X1),c_PropLog_Othms(c_union(X2,X4,tc_PropLog_Opl(X1)),X1),tc_PropLog_Opl(X1)) ),
    inference(superposition,[status(thm)],[c_52,c_49]) ).

cnf(c_23828,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(c_PropLog_Opl_Oop_A_N_62(X0,X3,X1),c_PropLog_Othms(c_union(X4,X2,tc_PropLog_Opl(X1)),X1),tc_PropLog_Opl(X1)) ),
    inference(superposition,[status(thm)],[c_53,c_49]) ).

cnf(c_23842,plain,
    ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,v_pl2,t_a),c_PropLog_Othms(c_PropLog_Ohyps(v_pl2,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))
    | c_PropLog_Oeval(v_tt,v_pl1,t_a) ),
    inference(superposition,[status(thm)],[c_53,c_59]) ).

cnf(c_23849,plain,
    ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,v_pl2,t_a),c_PropLog_Othms(c_PropLog_Ohyps(v_pl1,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))
    | ~ c_PropLog_Oeval(v_tt,v_pl2,t_a) ),
    inference(superposition,[status(thm)],[c_52,c_60]) ).

cnf(c_23850,plain,
    ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,v_pl2,t_a),c_PropLog_Othms(c_PropLog_Ohyps(v_pl2,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))
    | ~ c_PropLog_Oeval(v_tt,v_pl2,t_a) ),
    inference(superposition,[status(thm)],[c_53,c_60]) ).

cnf(c_23858,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(X3,c_PropLog_Othms(X2,X1),tc_PropLog_Opl(X1))
    | c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X3,X0,X1),X4,X1),c_PropLog_Othms(X2,X1),tc_PropLog_Opl(X1)) ),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

cnf(c_24026,plain,
    ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_PropLog_Ohyps(v_pl1,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))
    | c_PropLog_Oeval(v_tt,v_pl1,t_a) ),
    inference(superposition,[status(thm)],[c_23827,c_59]) ).

cnf(c_24029,plain,
    c_PropLog_Oeval(v_tt,v_pl1,t_a),
    inference(global_subsumption_just,[status(thm)],[c_23842,c_56,c_24026]) ).

cnf(c_24043,plain,
    ( ~ c_in(v_pl2,c_PropLog_Othms(c_PropLog_Ohyps(v_pl2,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))
    | ~ c_PropLog_Oeval(v_tt,v_pl2,t_a) ),
    inference(superposition,[status(thm)],[c_54,c_23850]) ).

cnf(c_24045,plain,
    ~ c_PropLog_Oeval(v_tt,v_pl2,t_a),
    inference(global_subsumption_just,[status(thm)],[c_23849,c_57,c_24043]) ).

cnf(c_24058,plain,
    ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,v_pl2,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
    | ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_pl2,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
    | ~ c_in(v_pl1,c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
    inference(superposition,[status(thm)],[c_23858,c_61]) ).

cnf(c_24059,plain,
    ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_pl2,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
    | ~ c_in(v_pl1,c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
    | ~ c_PropLog_Oeval(v_tt,v_pl1,t_a)
    | c_PropLog_Oeval(v_tt,v_pl2,t_a) ),
    inference(superposition,[status(thm)],[c_23858,c_64]) ).

cnf(c_24139,plain,
    ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_pl2,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
    | ~ c_in(v_pl1,c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
    inference(global_subsumption_just,[status(thm)],[c_24059,c_57,c_56,c_24026,c_24043,c_24059]) ).

cnf(c_24151,plain,
    ( ~ c_in(v_pl1,c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
    | ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_pl2,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_PropLog_Ohyps(v_pl2,v_tt,t_a),t_a),tc_PropLog_Opl(t_a)) ),
    inference(superposition,[status(thm)],[c_23828,c_24139]) ).

cnf(c_24186,plain,
    ~ c_in(v_pl1,c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
    inference(global_subsumption_just,[status(thm)],[c_24058,c_58,c_24045,c_24151]) ).

cnf(c_24189,plain,
    ~ c_in(v_pl1,c_PropLog_Othms(c_PropLog_Ohyps(v_pl1,v_tt,t_a),t_a),tc_PropLog_Opl(t_a)),
    inference(superposition,[status(thm)],[c_52,c_24186]) ).

cnf(c_24191,plain,
    ~ c_PropLog_Oeval(v_tt,v_pl1,t_a),
    inference(backward_subsumption_resolution,[status(thm)],[c_55,c_24189]) ).

cnf(c_24192,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_24029,c_24191]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem  : LCL442-1 : TPTP v8.1.2. Released v3.2.0.
% 0.09/0.11  % Command  : run_iprover %s %d THM
% 0.10/0.31  % Computer : n027.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Thu May  2 19:40:05 EDT 2024
% 0.10/0.31  % CPUTime  : 
% 0.16/0.41  Running first-order theorem proving
% 0.16/0.41  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.92/1.61  % SZS status Started for theBenchmark.p
% 7.92/1.61  % SZS status Unsatisfiable for theBenchmark.p
% 7.92/1.61  
% 7.92/1.61  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.92/1.61  
% 7.92/1.61  ------  iProver source info
% 7.92/1.61  
% 7.92/1.61  git: date: 2024-05-02 19:28:25 +0000
% 7.92/1.61  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.92/1.61  git: non_committed_changes: false
% 7.92/1.61  
% 7.92/1.61  ------ Parsing...successful
% 7.92/1.61  
% 7.92/1.61  
% 7.92/1.61  
% 7.92/1.61  ------ Preprocessing... sup_sim: 1  sf_s  rm: 823 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e 
% 7.92/1.61  
% 7.92/1.61  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.92/1.61  
% 7.92/1.61  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.92/1.61  ------ Proving...
% 7.92/1.61  ------ Problem Properties 
% 7.92/1.61  
% 7.92/1.61  
% 7.92/1.61  clauses                                 316
% 7.92/1.61  conjectures                             8
% 7.92/1.61  EPR                                     26
% 7.92/1.61  Horn                                    287
% 7.92/1.61  unary                                   79
% 7.92/1.61  binary                                  188
% 7.92/1.61  lits                                    602
% 7.92/1.61  lits eq                                 171
% 7.92/1.61  fd_pure                                 0
% 7.92/1.61  fd_pseudo                               0
% 7.92/1.61  fd_cond                                 21
% 7.92/1.61  fd_pseudo_cond                          43
% 7.92/1.61  AC symbols                              0
% 7.92/1.61  
% 7.92/1.61  ------ Input Options Time Limit: Unbounded
% 7.92/1.61  
% 7.92/1.61  
% 7.92/1.61  ------ 
% 7.92/1.61  Current options:
% 7.92/1.61  ------ 
% 7.92/1.61  
% 7.92/1.61  
% 7.92/1.61  
% 7.92/1.61  
% 7.92/1.61  ------ Proving...
% 7.92/1.61  
% 7.92/1.61  
% 7.92/1.61  % SZS status Unsatisfiable for theBenchmark.p
% 7.92/1.61  
% 7.92/1.61  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.92/1.61  
% 7.92/1.62  
%------------------------------------------------------------------------------