TSTP Solution File: SET061-6 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET061-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n029.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 02:59:36 EDT 2024

% Result   : Unsatisfiable 3.92s 1.16s
% Output   : CNFRefutation 3.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   15 (   7 unt;   3 nHn;  10 RR)
%            Number of literals    :   30 (  12 equ;  14 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   19 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    member(z,null_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_existence_of_null_class_1) ).

cnf(c_70,plain,
    ( ~ member(X0,intersection(X1,X2))
    | member(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection1) ).

cnf(c_73,plain,
    ( ~ member(X0,complement(X1))
    | ~ member(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement1) ).

cnf(c_116,plain,
    ( intersection(X0,regular(X0)) = null_class
    | X0 = null_class ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity2) ).

cnf(c_2687,negated_conjecture,
    member(z,null_class),
    inference(demodulation,[status(thm)],[c_49]) ).

cnf(c_2688,plain,
    X0 = X0,
    theory(equality) ).

cnf(c_2691,plain,
    ( X0 != X1
    | X2 != X3
    | ~ member(X1,X3)
    | member(X0,X2) ),
    theory(equality) ).

cnf(c_4195,plain,
    ( ~ member(X0,null_class)
    | X1 = null_class
    | member(X0,X1) ),
    inference(superposition,[status(thm)],[c_116,c_70]) ).

cnf(c_4572,plain,
    ( X0 != z
    | X1 != null_class
    | ~ member(z,null_class)
    | member(X0,X1) ),
    inference(instantiation,[status(thm)],[c_2691]) ).

cnf(c_5668,plain,
    ( X0 != null_class
    | z != z
    | ~ member(z,null_class)
    | member(z,X0) ),
    inference(instantiation,[status(thm)],[c_4572]) ).

cnf(c_5669,plain,
    z = z,
    inference(instantiation,[status(thm)],[c_2688]) ).

cnf(c_5876,plain,
    ( X0 = null_class
    | member(z,X0) ),
    inference(superposition,[status(thm)],[c_2687,c_4195]) ).

cnf(c_5892,plain,
    member(z,X0),
    inference(global_subsumption_just,[status(thm)],[c_5876,c_49,c_5668,c_5669,c_5876]) ).

cnf(c_5899,plain,
    ~ member(z,X0),
    inference(superposition,[status(thm)],[c_5892,c_73]) ).

cnf(c_5907,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_5899,c_5892]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET061-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.13  % Command  : run_iprover %s %d THM
% 0.15/0.34  % Computer : n029.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit : 300
% 0.15/0.34  % WCLimit  : 300
% 0.15/0.34  % DateTime : Thu May  2 20:55:52 EDT 2024
% 0.15/0.35  % CPUTime  : 
% 0.21/0.47  Running first-order theorem proving
% 0.21/0.47  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
% 3.92/1.16  % SZS status Started for theBenchmark.p
% 3.92/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 3.92/1.16  
% 3.92/1.16  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.92/1.16  
% 3.92/1.16  ------  iProver source info
% 3.92/1.16  
% 3.92/1.16  git: date: 2024-05-02 19:28:25 +0000
% 3.92/1.16  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.92/1.16  git: non_committed_changes: false
% 3.92/1.16  
% 3.92/1.16  ------ Parsing...successful
% 3.92/1.16  
% 3.92/1.16  
% 3.92/1.16  
% 3.92/1.16  ------ Preprocessing... sup_sim: 2  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 3.92/1.16  
% 3.92/1.16  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.92/1.16  
% 3.92/1.16  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.92/1.16  ------ Proving...
% 3.92/1.16  ------ Problem Properties 
% 3.92/1.16  
% 3.92/1.16  
% 3.92/1.16  clauses                                 84
% 3.92/1.16  conjectures                             1
% 3.92/1.16  EPR                                     13
% 3.92/1.16  Horn                                    76
% 3.92/1.16  unary                                   32
% 3.92/1.16  binary                                  32
% 3.92/1.16  lits                                    162
% 3.92/1.16  lits eq                                 36
% 3.92/1.16  fd_pure                                 0
% 3.92/1.16  fd_pseudo                               0
% 3.92/1.16  fd_cond                                 3
% 3.92/1.16  fd_pseudo_cond                          3
% 3.92/1.16  AC symbols                              0
% 3.92/1.16  
% 3.92/1.16  ------ Schedule dynamic 5 is on 
% 3.92/1.16  
% 3.92/1.16  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.92/1.16  
% 3.92/1.16  
% 3.92/1.16  ------ 
% 3.92/1.16  Current options:
% 3.92/1.16  ------ 
% 3.92/1.16  
% 3.92/1.16  
% 3.92/1.16  
% 3.92/1.16  
% 3.92/1.16  ------ Proving...
% 3.92/1.16  
% 3.92/1.16  
% 3.92/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 3.92/1.16  
% 3.92/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.92/1.16  
% 3.92/1.16  
%------------------------------------------------------------------------------