TSTP Solution File: SET195-6 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET195-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n024.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 03:00:15 EDT 2024

% Result   : Unsatisfiable 147.95s 20.27s
% Output   : CNFRefutation 147.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   23 (   5 unt;   6 nHn;  17 RR)
%            Number of literals    :   48 (   1 equ;  23 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,
    ~ subclass(y,union(x,y)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lattice_upper_bound2_1) ).

cnf(c_71,plain,
    ( ~ subclass(X0,X1)
    | ~ member(X2,X0)
    | member(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).

cnf(c_72,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_73,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_74,plain,
    subclass(X0,universal_class),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).

cnf(c_92,plain,
    ( ~ member(X0,intersection(X1,X2))
    | member(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection2) ).

cnf(c_94,plain,
    ( ~ member(X0,complement(X1))
    | ~ member(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement1) ).

cnf(c_95,plain,
    ( ~ member(X0,universal_class)
    | member(X0,complement(X1))
    | member(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement2) ).

cnf(c_96,plain,
    complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',union) ).

cnf(c_3866,plain,
    ( member(not_subclass_element(y,union(x,y)),y)
    | subclass(y,union(x,y)) ),
    inference(instantiation,[status(thm)],[c_72]) ).

cnf(c_3926,plain,
    ( ~ member(not_subclass_element(y,union(x,y)),y)
    | ~ subclass(y,X0)
    | member(not_subclass_element(y,union(x,y)),X0) ),
    inference(instantiation,[status(thm)],[c_71]) ).

cnf(c_3927,plain,
    ( ~ member(not_subclass_element(y,union(x,y)),y)
    | ~ subclass(y,universal_class)
    | member(not_subclass_element(y,union(x,y)),universal_class) ),
    inference(instantiation,[status(thm)],[c_3926]) ).

cnf(c_4436,plain,
    subclass(y,universal_class),
    inference(instantiation,[status(thm)],[c_74]) ).

cnf(c_4936,plain,
    ( ~ member(X0,universal_class)
    | member(X0,intersection(complement(X1),complement(X2)))
    | member(X0,union(X1,X2)) ),
    inference(superposition,[status(thm)],[c_96,c_95]) ).

cnf(c_9446,plain,
    ( ~ member(not_subclass_element(y,union(x,y)),union(x,y))
    | subclass(y,union(x,y)) ),
    inference(instantiation,[status(thm)],[c_73]) ).

cnf(c_84143,plain,
    ( ~ member(not_subclass_element(y,union(x,y)),complement(X0))
    | ~ member(not_subclass_element(y,union(x,y)),X0) ),
    inference(instantiation,[status(thm)],[c_94]) ).

cnf(c_85832,plain,
    ( ~ member(X0,intersection(X1,complement(X2)))
    | member(X0,complement(X2)) ),
    inference(instantiation,[status(thm)],[c_92]) ).

cnf(c_101242,plain,
    ( ~ member(not_subclass_element(y,union(x,y)),intersection(X0,complement(X1)))
    | member(not_subclass_element(y,union(x,y)),complement(X1)) ),
    inference(instantiation,[status(thm)],[c_85832]) ).

cnf(c_165285,plain,
    ( ~ member(not_subclass_element(y,union(x,y)),universal_class)
    | member(not_subclass_element(y,union(x,y)),intersection(complement(X0),complement(X1)))
    | member(not_subclass_element(y,union(x,y)),union(X0,X1)) ),
    inference(instantiation,[status(thm)],[c_4936]) ).

cnf(c_172174,plain,
    ( ~ member(not_subclass_element(y,union(x,y)),universal_class)
    | member(not_subclass_element(y,union(x,y)),intersection(complement(x),complement(y)))
    | member(not_subclass_element(y,union(x,y)),union(x,y)) ),
    inference(instantiation,[status(thm)],[c_165285]) ).

cnf(c_222369,plain,
    ( ~ member(not_subclass_element(y,union(x,y)),intersection(complement(x),complement(y)))
    | member(not_subclass_element(y,union(x,y)),complement(y)) ),
    inference(instantiation,[status(thm)],[c_101242]) ).

cnf(c_245802,plain,
    ( ~ member(not_subclass_element(y,union(x,y)),complement(y))
    | ~ member(not_subclass_element(y,union(x,y)),y) ),
    inference(instantiation,[status(thm)],[c_84143]) ).

cnf(c_245803,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_245802,c_222369,c_172174,c_9446,c_4436,c_3927,c_3866,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SET195-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.06/0.11  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n024.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Thu May  2 20:25:20 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.17/0.43  Running first-order theorem proving
% 0.17/0.43  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
% 147.95/20.27  % SZS status Started for theBenchmark.p
% 147.95/20.27  % SZS status Unsatisfiable for theBenchmark.p
% 147.95/20.27  
% 147.95/20.27  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 147.95/20.27  
% 147.95/20.27  ------  iProver source info
% 147.95/20.27  
% 147.95/20.27  git: date: 2024-05-02 19:28:25 +0000
% 147.95/20.27  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 147.95/20.27  git: non_committed_changes: false
% 147.95/20.27  
% 147.95/20.27  ------ Parsing...successful
% 147.95/20.27  
% 147.95/20.27  
% 147.95/20.27  
% 147.95/20.27  ------ 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 
% 147.95/20.27  
% 147.95/20.27  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 147.95/20.27  
% 147.95/20.27  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 147.95/20.27  ------ Proving...
% 147.95/20.27  ------ Problem Properties 
% 147.95/20.27  
% 147.95/20.27  
% 147.95/20.27  clauses                                 101
% 147.95/20.27  conjectures                             1
% 147.95/20.27  EPR                                     12
% 147.95/20.27  Horn                                    93
% 147.95/20.27  unary                                   40
% 147.95/20.27  binary                                  40
% 147.95/20.27  lits                                    189
% 147.95/20.27  lits eq                                 44
% 147.95/20.27  fd_pure                                 0
% 147.95/20.27  fd_pseudo                               0
% 147.95/20.27  fd_cond                                 3
% 147.95/20.27  fd_pseudo_cond                          7
% 147.95/20.27  AC symbols                              0
% 147.95/20.27  
% 147.95/20.27  ------ Input Options Time Limit: Unbounded
% 147.95/20.27  
% 147.95/20.27  
% 147.95/20.27  ------ 
% 147.95/20.27  Current options:
% 147.95/20.27  ------ 
% 147.95/20.27  
% 147.95/20.27  
% 147.95/20.27  
% 147.95/20.27  
% 147.95/20.27  ------ Proving...
% 147.95/20.27  
% 147.95/20.27  
% 147.95/20.27  % SZS status Unsatisfiable for theBenchmark.p
% 147.95/20.27  
% 147.95/20.27  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 147.95/20.27  
% 147.95/20.27  
%------------------------------------------------------------------------------