TSTP Solution File: SET192-6 by iProver---3.8

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%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SET192-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n001.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 15:07:04 EDT 2023

% Result   : Unsatisfiable 9.56s 2.11s
% Output   : CNFRefutation 9.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   25 (   5 unt;   8 nHn;  18 RR)
%            Number of literals    :   53 (   0 equ;  26 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   22 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    subclass(x,y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_subclass_property9_1) ).

cnf(c_50,negated_conjecture,
    ~ subclass(complement(y),complement(x)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_subclass_property9_2) ).

cnf(c_72,plain,
    ( ~ subclass(X0,X1)
    | ~ member(X2,X0)
    | member(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).

cnf(c_73,plain,
    ( member(not_subclass_element(X0,X1),X0)
    | subclass(X0,X1) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).

cnf(c_75,plain,
    subclass(X0,universal_class),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).

cnf(c_95,plain,
    ( ~ member(X0,complement(X1))
    | ~ member(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement1) ).

cnf(c_96,plain,
    ( ~ member(X0,universal_class)
    | member(X0,complement(X1))
    | member(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement2) ).

cnf(c_3475,plain,
    ( member(not_subclass_element(complement(y),complement(x)),complement(y))
    | subclass(complement(y),complement(x)) ),
    inference(instantiation,[status(thm)],[c_73]) ).

cnf(c_3485,plain,
    ( ~ member(not_subclass_element(complement(y),complement(x)),complement(y))
    | ~ subclass(complement(y),X0)
    | member(not_subclass_element(complement(y),complement(x)),X0) ),
    inference(instantiation,[status(thm)],[c_72]) ).

cnf(c_3486,plain,
    ( ~ member(not_subclass_element(complement(y),complement(x)),complement(y))
    | ~ subclass(complement(y),universal_class)
    | member(not_subclass_element(complement(y),complement(x)),universal_class) ),
    inference(instantiation,[status(thm)],[c_3485]) ).

cnf(c_3503,plain,
    ( ~ member(not_subclass_element(complement(y),complement(x)),complement(y))
    | ~ member(not_subclass_element(complement(y),complement(x)),y) ),
    inference(instantiation,[status(thm)],[c_95]) ).

cnf(c_3711,plain,
    subclass(complement(y),universal_class),
    inference(instantiation,[status(thm)],[c_75]) ).

cnf(c_3816,plain,
    ( ~ member(not_subclass_element(complement(y),complement(x)),X0)
    | ~ subclass(X0,X1)
    | member(not_subclass_element(complement(y),complement(x)),X1) ),
    inference(instantiation,[status(thm)],[c_72]) ).

cnf(c_3896,plain,
    ( ~ member(not_subclass_element(complement(y),complement(x)),universal_class)
    | member(not_subclass_element(complement(y),complement(x)),complement(X0))
    | member(not_subclass_element(complement(y),complement(x)),X0) ),
    inference(instantiation,[status(thm)],[c_96]) ).

cnf(c_3916,plain,
    ( member(not_subclass_element(complement(y),complement(x)),complement(X0))
    | member(not_subclass_element(complement(y),complement(x)),X0) ),
    inference(global_subsumption_just,[status(thm)],[c_3896,c_50,c_3475,c_3486,c_3711,c_3896]) ).

cnf(c_3938,plain,
    ( ~ member(not_subclass_element(complement(y),complement(x)),X0)
    | ~ subclass(X0,y)
    | member(not_subclass_element(complement(y),complement(x)),y) ),
    inference(instantiation,[status(thm)],[c_3816]) ).

cnf(c_3940,plain,
    ( ~ subclass(X0,y)
    | ~ member(not_subclass_element(complement(y),complement(x)),X0) ),
    inference(global_subsumption_just,[status(thm)],[c_3938,c_50,c_3475,c_3503,c_3938]) ).

cnf(c_3941,plain,
    ( ~ member(not_subclass_element(complement(y),complement(x)),X0)
    | ~ subclass(X0,y) ),
    inference(renaming,[status(thm)],[c_3940]) ).

cnf(c_4591,plain,
    ( ~ member(not_subclass_element(complement(y),complement(x)),x)
    | ~ subclass(x,y) ),
    inference(instantiation,[status(thm)],[c_3941]) ).

cnf(c_4931,plain,
    ( ~ member(not_subclass_element(complement(y),complement(x)),complement(x))
    | subclass(complement(y),complement(x)) ),
    inference(instantiation,[status(thm)],[c_74]) ).

cnf(c_11335,plain,
    ( ~ member(not_subclass_element(complement(y),complement(x)),universal_class)
    | member(not_subclass_element(complement(y),complement(x)),complement(X0))
    | member(not_subclass_element(complement(y),complement(x)),X0) ),
    inference(instantiation,[status(thm)],[c_96]) ).

cnf(c_11351,plain,
    ( member(not_subclass_element(complement(y),complement(x)),complement(X0))
    | member(not_subclass_element(complement(y),complement(x)),X0) ),
    inference(global_subsumption_just,[status(thm)],[c_11335,c_3916]) ).

cnf(c_20370,plain,
    ( member(not_subclass_element(complement(y),complement(x)),complement(x))
    | member(not_subclass_element(complement(y),complement(x)),x) ),
    inference(instantiation,[status(thm)],[c_11351]) ).

cnf(c_20371,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_20370,c_4931,c_4591,c_50,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET192-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n001.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Sat Aug 26 11:19:01 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.21/0.46  Running first-order theorem proving
% 0.21/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 9.56/2.11  % SZS status Started for theBenchmark.p
% 9.56/2.11  % SZS status Unsatisfiable for theBenchmark.p
% 9.56/2.11  
% 9.56/2.11  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 9.56/2.11  
% 9.56/2.11  ------  iProver source info
% 9.56/2.11  
% 9.56/2.11  git: date: 2023-05-31 18:12:56 +0000
% 9.56/2.11  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 9.56/2.11  git: non_committed_changes: false
% 9.56/2.11  git: last_make_outside_of_git: false
% 9.56/2.11  
% 9.56/2.11  ------ Parsing...successful
% 9.56/2.11  
% 9.56/2.11  
% 9.56/2.11  
% 9.56/2.11  ------ 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 
% 9.56/2.11  
% 9.56/2.11  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 9.56/2.11  
% 9.56/2.11  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 9.56/2.11  ------ Proving...
% 9.56/2.11  ------ Problem Properties 
% 9.56/2.11  
% 9.56/2.11  
% 9.56/2.11  clauses                                 102
% 9.56/2.11  conjectures                             2
% 9.56/2.11  EPR                                     13
% 9.56/2.11  Horn                                    94
% 9.56/2.11  unary                                   41
% 9.56/2.11  binary                                  40
% 9.56/2.11  lits                                    190
% 9.56/2.11  lits eq                                 44
% 9.56/2.11  fd_pure                                 0
% 9.56/2.11  fd_pseudo                               0
% 9.56/2.11  fd_cond                                 3
% 9.56/2.11  fd_pseudo_cond                          7
% 9.56/2.11  AC symbols                              0
% 9.56/2.11  
% 9.56/2.11  ------ Input Options Time Limit: Unbounded
% 9.56/2.11  
% 9.56/2.11  
% 9.56/2.11  ------ 
% 9.56/2.11  Current options:
% 9.56/2.11  ------ 
% 9.56/2.11  
% 9.56/2.11  
% 9.56/2.11  
% 9.56/2.11  
% 9.56/2.11  ------ Proving...
% 9.56/2.11  
% 9.56/2.11  
% 9.56/2.11  % SZS status Unsatisfiable for theBenchmark.p
% 9.56/2.11  
% 9.56/2.11  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.56/2.11  
% 9.56/2.11  
%------------------------------------------------------------------------------