TSTP Solution File: LCL442-2 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : LCL442-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n032.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 07:44:30 EDT 2023

% Result   : Unsatisfiable 1.42s 0.98s
% Output   : CNFRefutation 1.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   29 (   7 unt;   3 nHn;  22 RR)
%            Number of literals    :   54 (   0 equ;  32 neg)
%            Maximal clause size   :    3 (   1 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   :   27 (   7 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_50,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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(c_51,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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(c_52,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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(c_53,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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(c_54,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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

cnf(c_55,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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_9) ).

cnf(c_56,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/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Ofalse__imp_0) ).

cnf(c_57,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/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Oimp__false_0) ).

cnf(c_58,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/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Oweaken__left__Un1_0) ).

cnf(c_59,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/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Oweaken__left__Un2_0) ).

cnf(c_60,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/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Oweaken__right_0) ).

cnf(c_284,plain,
    ( ~ c_in(v_pl2,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) ),
    inference(superposition,[status(thm)],[c_60,c_54]) ).

cnf(c_353,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_pl1,t_a) ),
    inference(superposition,[status(thm)],[c_58,c_53]) ).

cnf(c_355,plain,
    ( ~ c_in(v_pl2,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_58,c_284]) ).

cnf(c_420,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_59,c_284]) ).

cnf(c_452,plain,
    ( ~ 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_in(c_PropLog_Opl_Oop_A_N_62(v_pl2,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_union(X0,c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
    inference(instantiation,[status(thm)],[c_59]) ).

cnf(c_508,plain,
    ( c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,X0,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_50,c_56]) ).

cnf(c_564,plain,
    ( ~ 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_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)) ),
    inference(instantiation,[status(thm)],[c_452]) ).

cnf(c_606,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_57,c_56]) ).

cnf(c_628,plain,
    ~ c_PropLog_Oeval(v_tt,v_pl2,t_a),
    inference(global_subsumption_just,[status(thm)],[c_355,c_51,c_420]) ).

cnf(c_630,plain,
    ( ~ 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) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_55,c_628]) ).

cnf(c_661,plain,
    c_PropLog_Oeval(v_tt,v_pl1,t_a),
    inference(forward_subsumption_resolution,[status(thm)],[c_353,c_508]) ).

cnf(c_662,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(backward_subsumption_resolution,[status(thm)],[c_49,c_661]) ).

cnf(c_735,plain,
    ~ 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)),
    inference(forward_subsumption_resolution,[status(thm)],[c_630,c_661]) ).

cnf(c_755,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(superposition,[status(thm)],[c_606,c_735]) ).

cnf(c_781,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_755,c_52,c_564,c_628,c_755]) ).

cnf(c_783,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_58,c_781]) ).

cnf(c_785,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_783,c_662]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : LCL442-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.09  % Command  : run_iprover %s %d THM
% 0.08/0.28  % Computer : n032.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit : 300
% 0.08/0.28  % WCLimit  : 300
% 0.08/0.28  % DateTime : Thu Aug 24 21:42:42 EDT 2023
% 0.08/0.28  % CPUTime  : 
% 0.12/0.36  Running first-order theorem proving
% 0.12/0.36  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.42/0.98  % SZS status Started for theBenchmark.p
% 1.42/0.98  % SZS status Unsatisfiable for theBenchmark.p
% 1.42/0.98  
% 1.42/0.98  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.42/0.98  
% 1.42/0.98  ------  iProver source info
% 1.42/0.98  
% 1.42/0.98  git: date: 2023-05-31 18:12:56 +0000
% 1.42/0.98  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.42/0.98  git: non_committed_changes: false
% 1.42/0.98  git: last_make_outside_of_git: false
% 1.42/0.98  
% 1.42/0.98  ------ Parsing...successful
% 1.42/0.98  
% 1.42/0.98  
% 1.42/0.98  
% 1.42/0.98  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 1.42/0.98  
% 1.42/0.98  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.42/0.98  ------ Proving...
% 1.42/0.98  ------ Problem Properties 
% 1.42/0.98  
% 1.42/0.98  
% 1.42/0.98  clauses                                 12
% 1.42/0.98  conjectures                             7
% 1.42/0.98  EPR                                     0
% 1.42/0.98  Horn                                    10
% 1.42/0.98  unary                                   0
% 1.42/0.98  binary                                  10
% 1.42/0.98  lits                                    26
% 1.42/0.98  lits eq                                 0
% 1.42/0.98  fd_pure                                 0
% 1.42/0.98  fd_pseudo                               0
% 1.42/0.98  fd_cond                                 0
% 1.42/0.98  fd_pseudo_cond                          0
% 1.42/0.98  AC symbols                              0
% 1.42/0.98  
% 1.42/0.98  ------ Schedule dynamic 5 is on 
% 1.42/0.98  
% 1.42/0.98  ------ no equalities: superposition off 
% 1.42/0.98  
% 1.42/0.98  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.42/0.98  
% 1.42/0.98  
% 1.42/0.98  ------ 
% 1.42/0.98  Current options:
% 1.42/0.98  ------ 
% 1.42/0.98  
% 1.42/0.98  
% 1.42/0.98  
% 1.42/0.98  
% 1.42/0.98  ------ Proving...
% 1.42/0.98  
% 1.42/0.98  
% 1.42/0.98  % SZS status Unsatisfiable for theBenchmark.p
% 1.42/0.98  
% 1.42/0.98  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.42/0.98  
% 1.42/0.98  
%------------------------------------------------------------------------------