TSTP Solution File: NUM190-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : NUM190-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n023.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 11:28:50 EDT 2023

% Result   : Unsatisfiable 8.11s 1.66s
% Output   : CNFRefutation 8.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   16 (   7 unt;   3 nHn;  13 RR)
%            Number of literals    :   26 (   8 equ;   9 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   14 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    omega = null_class,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_omega_is_not_null_1) ).

cnf(c_137,plain,
    ( ~ member(X0,intersection(X1,X2))
    | member(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection1) ).

cnf(c_140,plain,
    ( ~ member(X0,complement(X1))
    | ~ member(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement1) ).

cnf(c_163,plain,
    ( ~ inductive(X0)
    | member(null_class,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',inductive1) ).

cnf(c_166,plain,
    inductive(omega),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',omega_is_inductive1) ).

cnf(c_183,plain,
    ( intersection(X0,regular(X0)) = null_class
    | X0 = null_class ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',regularity2) ).

cnf(c_505,plain,
    ( ~ inductive(X0)
    | member(null_class,X0) ),
    inference(prop_impl_just,[status(thm)],[c_163]) ).

cnf(c_1629,plain,
    ( X0 != omega
    | member(null_class,X0) ),
    inference(resolution_lifted,[status(thm)],[c_505,c_166]) ).

cnf(c_1630,plain,
    member(null_class,omega),
    inference(unflattening,[status(thm)],[c_1629]) ).

cnf(c_11925,plain,
    member(null_class,null_class),
    inference(superposition,[status(thm)],[c_49,c_1630]) ).

cnf(c_12204,plain,
    ( ~ member(X0,null_class)
    | X1 = null_class
    | member(X0,X1) ),
    inference(superposition,[status(thm)],[c_183,c_137]) ).

cnf(c_12214,plain,
    ( X0 = null_class
    | member(null_class,X0) ),
    inference(superposition,[status(thm)],[c_11925,c_12204]) ).

cnf(c_12234,plain,
    ( ~ member(null_class,X0)
    | complement(X0) = null_class ),
    inference(superposition,[status(thm)],[c_12214,c_140]) ).

cnf(c_12542,plain,
    complement(null_class) = null_class,
    inference(superposition,[status(thm)],[c_11925,c_12234]) ).

cnf(c_12669,plain,
    ~ member(X0,null_class),
    inference(superposition,[status(thm)],[c_12542,c_140]) ).

cnf(c_12693,plain,
    $false,
    inference(superposition,[status(thm)],[c_11925,c_12669]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUM190-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n023.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 : Fri Aug 25 17:27:12 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.18/0.46  Running first-order theorem proving
% 0.18/0.46  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 8.11/1.66  % SZS status Started for theBenchmark.p
% 8.11/1.66  % SZS status Unsatisfiable for theBenchmark.p
% 8.11/1.66  
% 8.11/1.66  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 8.11/1.66  
% 8.11/1.66  ------  iProver source info
% 8.11/1.66  
% 8.11/1.66  git: date: 2023-05-31 18:12:56 +0000
% 8.11/1.66  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 8.11/1.66  git: non_committed_changes: false
% 8.11/1.66  git: last_make_outside_of_git: false
% 8.11/1.66  
% 8.11/1.66  ------ Parsing...successful
% 8.11/1.66  
% 8.11/1.66  
% 8.11/1.66  
% 8.11/1.66  ------ Preprocessing... sup_sim: 5  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e  sup_sim: 1  sf_s  rm: 3 0s  sf_e  pe_s  pe_e 
% 8.11/1.66  
% 8.11/1.66  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 8.11/1.66  
% 8.11/1.66  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 8.11/1.66  ------ Proving...
% 8.11/1.66  ------ Problem Properties 
% 8.11/1.66  
% 8.11/1.66  
% 8.11/1.66  clauses                                 139
% 8.11/1.66  conjectures                             1
% 8.11/1.66  EPR                                     16
% 8.11/1.66  Horn                                    127
% 8.11/1.66  unary                                   50
% 8.11/1.66  binary                                  58
% 8.11/1.66  lits                                    273
% 8.11/1.66  lits eq                                 63
% 8.11/1.66  fd_pure                                 0
% 8.11/1.66  fd_pseudo                               0
% 8.11/1.66  fd_cond                                 5
% 8.11/1.66  fd_pseudo_cond                          10
% 8.11/1.66  AC symbols                              0
% 8.11/1.66  
% 8.11/1.66  ------ Input Options Time Limit: Unbounded
% 8.11/1.66  
% 8.11/1.66  
% 8.11/1.66  ------ 
% 8.11/1.66  Current options:
% 8.11/1.66  ------ 
% 8.11/1.66  
% 8.11/1.66  
% 8.11/1.66  
% 8.11/1.66  
% 8.11/1.66  ------ Proving...
% 8.11/1.66  
% 8.11/1.66  
% 8.11/1.66  % SZS status Unsatisfiable for theBenchmark.p
% 8.11/1.66  
% 8.11/1.66  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.11/1.66  
% 8.11/1.66  
%------------------------------------------------------------------------------