TSTP Solution File: NUM190-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : NUM190-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n006.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 02:48:21 EDT 2024

% Result   : Unsatisfiable 7.95s 1.67s
% Output   : CNFRefutation 7.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   21 (   9 unt;   4 nHn;  16 RR)
%            Number of literals    :   36 (   8 equ;  14 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :   22 (   5 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_127,plain,
    member(unordered_pair(X0,X1),universal_class),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pairs_in_universal) ).

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_141,plain,
    ( ~ member(X0,universal_class)
    | member(X0,complement(X1))
    | member(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement2) ).

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_181,plain,
    ( ~ member(X0,universal_class)
    | ~ function(X1)
    | member(image(X1,X0),universal_class) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',replacement) ).

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_1617,plain,
    ( X0 != omega
    | member(null_class,X0) ),
    inference(resolution_lifted,[status(thm)],[c_505,c_166]) ).

cnf(c_1618,plain,
    member(null_class,omega),
    inference(unflattening,[status(thm)],[c_1617]) ).

cnf(c_5671,plain,
    member(null_class,null_class),
    inference(superposition,[status(thm)],[c_49,c_1618]) ).

cnf(c_10605,plain,
    ( ~ member(X0,null_class)
    | X1 = null_class
    | member(X0,X1) ),
    inference(superposition,[status(thm)],[c_183,c_137]) ).

cnf(c_10618,plain,
    ( X0 = null_class
    | member(null_class,X0) ),
    inference(superposition,[status(thm)],[c_5671,c_10605]) ).

cnf(c_10661,plain,
    ( ~ member(null_class,X0)
    | complement(X0) = null_class ),
    inference(superposition,[status(thm)],[c_10618,c_140]) ).

cnf(c_11316,plain,
    complement(null_class) = null_class,
    inference(superposition,[status(thm)],[c_5671,c_10661]) ).

cnf(c_11596,plain,
    ( ~ member(X0,universal_class)
    | member(X0,null_class) ),
    inference(superposition,[status(thm)],[c_11316,c_141]) ).

cnf(c_11598,plain,
    ~ member(X0,null_class),
    inference(superposition,[status(thm)],[c_11316,c_140]) ).

cnf(c_11996,plain,
    ~ member(X0,universal_class),
    inference(global_subsumption_just,[status(thm)],[c_181,c_11598,c_11596]) ).

cnf(c_12001,plain,
    $false,
    inference(superposition,[status(thm)],[c_127,c_11996]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : NUM190-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.04/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n006.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu May  2 19:41:34 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  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
% 7.95/1.67  % SZS status Started for theBenchmark.p
% 7.95/1.67  % SZS status Unsatisfiable for theBenchmark.p
% 7.95/1.67  
% 7.95/1.67  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.95/1.67  
% 7.95/1.67  ------  iProver source info
% 7.95/1.67  
% 7.95/1.67  git: date: 2024-05-02 19:28:25 +0000
% 7.95/1.67  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.95/1.67  git: non_committed_changes: false
% 7.95/1.67  
% 7.95/1.67  ------ Parsing...successful
% 7.95/1.67  
% 7.95/1.67  
% 7.95/1.67  
% 7.95/1.67  ------ Preprocessing... sup_sim: 0  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: 0  sf_s  rm: 3 0s  sf_e  pe_s  pe_e 
% 7.95/1.67  
% 7.95/1.67  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.95/1.67  
% 7.95/1.67  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.95/1.67  ------ Proving...
% 7.95/1.67  ------ Problem Properties 
% 7.95/1.67  
% 7.95/1.67  
% 7.95/1.67  clauses                                 138
% 7.95/1.67  conjectures                             1
% 7.95/1.67  EPR                                     15
% 7.95/1.67  Horn                                    126
% 7.95/1.67  unary                                   49
% 7.95/1.67  binary                                  58
% 7.95/1.67  lits                                    272
% 7.95/1.67  lits eq                                 63
% 7.95/1.67  fd_pure                                 0
% 7.95/1.67  fd_pseudo                               0
% 7.95/1.67  fd_cond                                 5
% 7.95/1.67  fd_pseudo_cond                          10
% 7.95/1.67  AC symbols                              0
% 7.95/1.67  
% 7.95/1.67  ------ Input Options Time Limit: Unbounded
% 7.95/1.67  
% 7.95/1.67  
% 7.95/1.67  ------ 
% 7.95/1.67  Current options:
% 7.95/1.67  ------ 
% 7.95/1.67  
% 7.95/1.67  
% 7.95/1.67  
% 7.95/1.67  
% 7.95/1.67  ------ Proving...
% 7.95/1.67  
% 7.95/1.67  
% 7.95/1.67  % SZS status Unsatisfiable for theBenchmark.p
% 7.95/1.67  
% 7.95/1.67  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.95/1.67  
% 7.95/1.67  
%------------------------------------------------------------------------------