TSTP Solution File: SET186-6 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SET186-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n031.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 15:07:03 EDT 2023

% Result   : Unsatisfiable 66.72s 9.76s
% Output   : CNFRefutation 66.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   19 (   6 unt;   6 nHn;  12 RR)
%            Number of literals    :   38 (   2 equ;  15 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   29 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    union(x,y) = y,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_subclass_property4_1) ).

cnf(c_50,negated_conjecture,
    ~ subclass(x,y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_subclass_property4_2) ).

cnf(c_72,plain,
    ( ~ subclass(X0,X1)
    | ~ member(X2,X0)
    | member(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).

cnf(c_73,plain,
    ( member(not_subclass_element(X0,X1),X0)
    | subclass(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).

cnf(c_74,plain,
    ( ~ member(not_subclass_element(X0,X1),X1)
    | subclass(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).

cnf(c_75,plain,
    subclass(X0,universal_class),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).

cnf(c_92,plain,
    ( ~ member(X0,intersection(X1,X2))
    | member(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection1) ).

cnf(c_95,plain,
    ( ~ member(X0,complement(X1))
    | ~ member(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement1) ).

cnf(c_96,plain,
    ( ~ member(X0,universal_class)
    | member(X0,complement(X1))
    | member(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement2) ).

cnf(c_97,plain,
    complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',union) ).

cnf(c_92979,plain,
    ( ~ member(X0,X1)
    | member(X0,universal_class) ),
    inference(superposition,[status(thm)],[c_75,c_72]) ).

cnf(c_93063,plain,
    ( ~ member(X0,universal_class)
    | member(X0,intersection(complement(X1),complement(X2)))
    | member(X0,union(X1,X2)) ),
    inference(superposition,[status(thm)],[c_97,c_96]) ).

cnf(c_94270,plain,
    ( ~ member(X0,universal_class)
    | member(X0,union(X1,X2))
    | member(X0,complement(X1)) ),
    inference(superposition,[status(thm)],[c_93063,c_92]) ).

cnf(c_97918,plain,
    ( ~ member(X0,universal_class)
    | member(X0,complement(x))
    | member(X0,y) ),
    inference(superposition,[status(thm)],[c_49,c_94270]) ).

cnf(c_97983,plain,
    ( ~ member(X0,x)
    | ~ member(X0,universal_class)
    | member(X0,y) ),
    inference(superposition,[status(thm)],[c_97918,c_95]) ).

cnf(c_97995,plain,
    ( ~ member(X0,x)
    | member(X0,y) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_97983,c_92979]) ).

cnf(c_97996,plain,
    ( member(not_subclass_element(x,X0),y)
    | subclass(x,X0) ),
    inference(superposition,[status(thm)],[c_73,c_97995]) ).

cnf(c_98127,plain,
    subclass(x,y),
    inference(superposition,[status(thm)],[c_97996,c_74]) ).

cnf(c_98132,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_98127,c_50]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SET186-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n031.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 : Sat Aug 26 11:54:08 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 66.72/9.76  % SZS status Started for theBenchmark.p
% 66.72/9.76  % SZS status Unsatisfiable for theBenchmark.p
% 66.72/9.76  
% 66.72/9.76  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 66.72/9.76  
% 66.72/9.76  ------  iProver source info
% 66.72/9.76  
% 66.72/9.76  git: date: 2023-05-31 18:12:56 +0000
% 66.72/9.76  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 66.72/9.76  git: non_committed_changes: false
% 66.72/9.76  git: last_make_outside_of_git: false
% 66.72/9.76  
% 66.72/9.76  ------ Parsing...successful
% 66.72/9.76  
% 66.72/9.76  
% 66.72/9.76  
% 66.72/9.76  ------ Preprocessing... sup_sim: 2  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sup_sim: 0  sf_s  rm: 3 0s  sf_e  pe_s  pe_e 
% 66.72/9.76  
% 66.72/9.76  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 66.72/9.76  
% 66.72/9.76  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 66.72/9.76  ------ Proving...
% 66.72/9.76  ------ Problem Properties 
% 66.72/9.76  
% 66.72/9.76  
% 66.72/9.76  clauses                                 102
% 66.72/9.76  conjectures                             2
% 66.72/9.76  EPR                                     13
% 66.72/9.76  Horn                                    94
% 66.72/9.76  unary                                   41
% 66.72/9.76  binary                                  40
% 66.72/9.76  lits                                    190
% 66.72/9.76  lits eq                                 45
% 66.72/9.76  fd_pure                                 0
% 66.72/9.76  fd_pseudo                               0
% 66.72/9.76  fd_cond                                 3
% 66.72/9.76  fd_pseudo_cond                          7
% 66.72/9.76  AC symbols                              0
% 66.72/9.76  
% 66.72/9.76  ------ Input Options Time Limit: Unbounded
% 66.72/9.76  
% 66.72/9.76  
% 66.72/9.76  ------ 
% 66.72/9.76  Current options:
% 66.72/9.76  ------ 
% 66.72/9.76  
% 66.72/9.76  
% 66.72/9.76  
% 66.72/9.76  
% 66.72/9.76  ------ Proving...
% 66.72/9.76  
% 66.72/9.76  
% 66.72/9.76  % SZS status Unsatisfiable for theBenchmark.p
% 66.72/9.76  
% 66.72/9.76  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 66.72/9.77  
% 66.72/9.77  
%------------------------------------------------------------------------------