TSTP Solution File: SET134-6 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET134-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n019.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 03:00:02 EDT 2024
% Result : Unsatisfiable 93.08s 13.22s
% Output : CNFRefutation 93.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 18
% Syntax : Number of clauses : 72 ( 42 unt; 8 nHn; 41 RR)
% Number of literals : 105 ( 31 equ; 31 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 5 con; 0-3 aty)
% Number of variables : 87 ( 16 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
union(singleton(X0),X1) = set_builder(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_of_set_builder) ).
cnf(c_50,negated_conjecture,
member(u,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_2_to_member_of_triple_1) ).
cnf(c_51,negated_conjecture,
set_builder(u,set_builder(y,set_builder(z,null_class))) = null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_2_to_member_of_triple_2) ).
cnf(c_53,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_54,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_58,plain,
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).
cnf(c_60,plain,
( ~ member(X0,universal_class)
| member(X0,unordered_pair(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).
cnf(c_63,plain,
unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',singleton_set) ).
cnf(c_72,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection1) ).
cnf(c_73,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection2) ).
cnf(c_75,plain,
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement1) ).
cnf(c_76,plain,
( ~ member(X0,universal_class)
| member(X0,complement(X1))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement2) ).
cnf(c_77,plain,
complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',union) ).
cnf(c_78,plain,
intersection(complement(intersection(X0,X1)),complement(intersection(complement(X0),complement(X1)))) = symmetric_difference(X0,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',symmetric_difference) ).
cnf(c_79,plain,
intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',restriction1) ).
cnf(c_81,plain,
( restrict(X0,singleton(X1),universal_class) != null_class
| ~ member(X1,domain_of(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',domain1) ).
cnf(c_117,plain,
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity1) ).
cnf(c_118,plain,
( intersection(X0,regular(X0)) = null_class
| X0 = null_class ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity2) ).
cnf(c_738,plain,
intersection(complement(intersection(X0,X1)),union(X0,X1)) = symmetric_difference(X0,X1),
inference(light_normalisation,[status(thm)],[c_78,c_77]) ).
cnf(c_4072,plain,
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_53,c_72]) ).
cnf(c_4080,plain,
( member(not_subclass_element(intersection(X0,X1),X2),X1)
| subclass(intersection(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_53,c_73]) ).
cnf(c_5544,plain,
subclass(intersection(X0,X1),X0),
inference(superposition,[status(thm)],[c_4072,c_54]) ).
cnf(c_5624,plain,
subclass(restrict(X0,X1,X2),X0),
inference(superposition,[status(thm)],[c_79,c_5544]) ).
cnf(c_5626,plain,
( X0 = null_class
| subclass(null_class,X0) ),
inference(superposition,[status(thm)],[c_118,c_5544]) ).
cnf(c_5662,plain,
( ~ subclass(X0,null_class)
| X0 = null_class ),
inference(superposition,[status(thm)],[c_5626,c_58]) ).
cnf(c_5847,plain,
subclass(intersection(X0,X1),X1),
inference(superposition,[status(thm)],[c_4080,c_54]) ).
cnf(c_6067,plain,
intersection(null_class,X0) = null_class,
inference(superposition,[status(thm)],[c_5544,c_5662]) ).
cnf(c_6068,plain,
restrict(null_class,X0,X1) = null_class,
inference(superposition,[status(thm)],[c_5624,c_5662]) ).
cnf(c_6074,plain,
subclass(null_class,X0),
inference(superposition,[status(thm)],[c_6067,c_5847]) ).
cnf(c_6077,plain,
subclass(null_class,null_class),
inference(superposition,[status(thm)],[c_6067,c_5544]) ).
cnf(c_8229,plain,
~ member(X0,domain_of(null_class)),
inference(superposition,[status(thm)],[c_6068,c_81]) ).
cnf(c_8458,plain,
domain_of(null_class) = null_class,
inference(superposition,[status(thm)],[c_117,c_8229]) ).
cnf(c_8472,plain,
~ member(X0,null_class),
inference(superposition,[status(thm)],[c_8458,c_8229]) ).
cnf(c_38651,plain,
( ~ subclass(X0,null_class)
| X0 = null_class ),
inference(superposition,[status(thm)],[c_6074,c_58]) ).
cnf(c_47426,plain,
subclass(intersection(X0,X1),X0),
inference(superposition,[status(thm)],[c_4072,c_54]) ).
cnf(c_47523,plain,
subclass(symmetric_difference(X0,X1),complement(intersection(X0,X1))),
inference(superposition,[status(thm)],[c_738,c_47426]) ).
cnf(c_47827,plain,
subclass(symmetric_difference(complement(X0),complement(X1)),union(X0,X1)),
inference(superposition,[status(thm)],[c_77,c_47523]) ).
cnf(c_48084,plain,
subclass(symmetric_difference(complement(singleton(X0)),complement(X1)),set_builder(X0,X1)),
inference(superposition,[status(thm)],[c_49,c_47827]) ).
cnf(c_48429,plain,
subclass(symmetric_difference(complement(singleton(u)),complement(set_builder(y,set_builder(z,null_class)))),null_class),
inference(superposition,[status(thm)],[c_51,c_48084]) ).
cnf(c_48514,plain,
symmetric_difference(complement(singleton(u)),complement(set_builder(y,set_builder(z,null_class)))) = null_class,
inference(superposition,[status(thm)],[c_48429,c_38651]) ).
cnf(c_48520,plain,
subclass(null_class,complement(intersection(complement(singleton(u)),complement(set_builder(y,set_builder(z,null_class)))))),
inference(superposition,[status(thm)],[c_48514,c_47523]) ).
cnf(c_48670,plain,
subclass(intersection(X0,X1),X1),
inference(superposition,[status(thm)],[c_4080,c_54]) ).
cnf(c_48851,plain,
( ~ subclass(complement(intersection(complement(singleton(u)),complement(set_builder(y,set_builder(z,null_class))))),null_class)
| complement(intersection(complement(singleton(u)),complement(set_builder(y,set_builder(z,null_class))))) = null_class ),
inference(superposition,[status(thm)],[c_48520,c_58]) ).
cnf(c_48865,plain,
subclass(symmetric_difference(X0,X1),union(X0,X1)),
inference(superposition,[status(thm)],[c_738,c_48670]) ).
cnf(c_48881,plain,
subclass(symmetric_difference(singleton(X0),X1),set_builder(X0,X1)),
inference(superposition,[status(thm)],[c_49,c_48865]) ).
cnf(c_48888,plain,
( ~ subclass(union(X0,X1),symmetric_difference(X0,X1))
| union(X0,X1) = symmetric_difference(X0,X1) ),
inference(superposition,[status(thm)],[c_48865,c_58]) ).
cnf(c_48894,plain,
subclass(symmetric_difference(singleton(u),set_builder(y,set_builder(z,null_class))),null_class),
inference(superposition,[status(thm)],[c_51,c_48881]) ).
cnf(c_50267,plain,
symmetric_difference(singleton(u),set_builder(y,set_builder(z,null_class))) = null_class,
inference(superposition,[status(thm)],[c_48894,c_38651]) ).
cnf(c_51899,plain,
( ~ subclass(union(singleton(u),set_builder(y,set_builder(z,null_class))),null_class)
| union(singleton(u),set_builder(y,set_builder(z,null_class))) = symmetric_difference(singleton(u),set_builder(y,set_builder(z,null_class))) ),
inference(superposition,[status(thm)],[c_50267,c_48888]) ).
cnf(c_51958,plain,
( ~ subclass(set_builder(u,set_builder(y,set_builder(z,null_class))),null_class)
| union(singleton(u),set_builder(y,set_builder(z,null_class))) = symmetric_difference(singleton(u),set_builder(y,set_builder(z,null_class))) ),
inference(superposition,[status(thm)],[c_49,c_51899]) ).
cnf(c_52529,plain,
( ~ subclass(union(singleton(u),set_builder(y,set_builder(z,null_class))),null_class)
| complement(intersection(complement(singleton(u)),complement(set_builder(y,set_builder(z,null_class))))) = null_class ),
inference(superposition,[status(thm)],[c_77,c_48851]) ).
cnf(c_52532,plain,
( ~ subclass(null_class,null_class)
| union(singleton(u),set_builder(y,set_builder(z,null_class))) = symmetric_difference(singleton(u),set_builder(y,set_builder(z,null_class))) ),
inference(superposition,[status(thm)],[c_51,c_51958]) ).
cnf(c_52533,plain,
union(singleton(u),set_builder(y,set_builder(z,null_class))) = symmetric_difference(singleton(u),set_builder(y,set_builder(z,null_class))),
inference(global_subsumption_just,[status(thm)],[c_52532,c_6077,c_52532]) ).
cnf(c_52547,plain,
subclass(union(singleton(u),set_builder(y,set_builder(z,null_class))),null_class),
inference(superposition,[status(thm)],[c_52533,c_48894]) ).
cnf(c_65027,plain,
( ~ member(X0,universal_class)
| member(X0,singleton(X0)) ),
inference(superposition,[status(thm)],[c_63,c_60]) ).
cnf(c_65393,plain,
( ~ subclass(X0,null_class)
| X0 = null_class ),
inference(superposition,[status(thm)],[c_6074,c_58]) ).
cnf(c_75889,plain,
subclass(intersection(X0,X1),X0),
inference(superposition,[status(thm)],[c_4072,c_54]) ).
cnf(c_75967,plain,
subclass(symmetric_difference(X0,X1),complement(intersection(X0,X1))),
inference(superposition,[status(thm)],[c_738,c_75889]) ).
cnf(c_76422,plain,
subclass(symmetric_difference(complement(X0),complement(X1)),union(X0,X1)),
inference(superposition,[status(thm)],[c_77,c_75967]) ).
cnf(c_77230,plain,
subclass(symmetric_difference(complement(singleton(X0)),complement(X1)),set_builder(X0,X1)),
inference(superposition,[status(thm)],[c_49,c_76422]) ).
cnf(c_77682,plain,
subclass(symmetric_difference(complement(singleton(u)),complement(set_builder(y,set_builder(z,null_class)))),null_class),
inference(superposition,[status(thm)],[c_51,c_77230]) ).
cnf(c_77968,plain,
symmetric_difference(complement(singleton(u)),complement(set_builder(y,set_builder(z,null_class)))) = null_class,
inference(superposition,[status(thm)],[c_77682,c_65393]) ).
cnf(c_77969,plain,
subclass(null_class,complement(intersection(complement(singleton(u)),complement(set_builder(y,set_builder(z,null_class)))))),
inference(superposition,[status(thm)],[c_77968,c_75967]) ).
cnf(c_78379,plain,
( ~ subclass(complement(intersection(complement(singleton(u)),complement(set_builder(y,set_builder(z,null_class))))),null_class)
| complement(intersection(complement(singleton(u)),complement(set_builder(y,set_builder(z,null_class))))) = null_class ),
inference(superposition,[status(thm)],[c_77969,c_58]) ).
cnf(c_79357,plain,
complement(intersection(complement(singleton(u)),complement(set_builder(y,set_builder(z,null_class))))) = null_class,
inference(global_subsumption_just,[status(thm)],[c_78379,c_52529,c_52547]) ).
cnf(c_79378,plain,
( ~ member(X0,universal_class)
| member(X0,intersection(complement(singleton(u)),complement(set_builder(y,set_builder(z,null_class)))))
| member(X0,null_class) ),
inference(superposition,[status(thm)],[c_79357,c_76]) ).
cnf(c_82250,plain,
( member(X0,intersection(complement(singleton(u)),complement(set_builder(y,set_builder(z,null_class)))))
| ~ member(X0,universal_class) ),
inference(global_subsumption_just,[status(thm)],[c_79378,c_8472,c_79378]) ).
cnf(c_82251,plain,
( ~ member(X0,universal_class)
| member(X0,intersection(complement(singleton(u)),complement(set_builder(y,set_builder(z,null_class))))) ),
inference(renaming,[status(thm)],[c_82250]) ).
cnf(c_82256,plain,
( ~ member(X0,universal_class)
| member(X0,complement(singleton(u))) ),
inference(superposition,[status(thm)],[c_82251,c_72]) ).
cnf(c_82389,plain,
( ~ member(X0,singleton(u))
| ~ member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_82256,c_75]) ).
cnf(c_82505,plain,
~ member(u,universal_class),
inference(superposition,[status(thm)],[c_65027,c_82389]) ).
cnf(c_82527,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_82505,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET134-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.12 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n019.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu May 2 20:32:59 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.18/0.45 Running first-order theorem proving
% 0.18/0.45 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
% 93.08/13.22 % SZS status Started for theBenchmark.p
% 93.08/13.22 % SZS status Unsatisfiable for theBenchmark.p
% 93.08/13.22
% 93.08/13.22 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 93.08/13.22
% 93.08/13.22 ------ iProver source info
% 93.08/13.22
% 93.08/13.22 git: date: 2024-05-02 19:28:25 +0000
% 93.08/13.22 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 93.08/13.22 git: non_committed_changes: false
% 93.08/13.22
% 93.08/13.22 ------ Parsing...successful
% 93.08/13.22
% 93.08/13.22
% 93.08/13.22
% 93.08/13.22 ------ Preprocessing... sup_sim: 2 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 93.08/13.22
% 93.08/13.22 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 93.08/13.22
% 93.08/13.22 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 93.08/13.22 ------ Proving...
% 93.08/13.22 ------ Problem Properties
% 93.08/13.22
% 93.08/13.22
% 93.08/13.22 clauses 86
% 93.08/13.22 conjectures 2
% 93.08/13.22 EPR 13
% 93.08/13.22 Horn 78
% 93.08/13.22 unary 34
% 93.08/13.22 binary 32
% 93.08/13.22 lits 164
% 93.08/13.22 lits eq 38
% 93.08/13.22 fd_pure 0
% 93.08/13.22 fd_pseudo 0
% 93.08/13.22 fd_cond 3
% 93.08/13.22 fd_pseudo_cond 3
% 93.08/13.22 AC symbols 0
% 93.08/13.22
% 93.08/13.22 ------ Input Options Time Limit: Unbounded
% 93.08/13.22
% 93.08/13.22
% 93.08/13.22 ------
% 93.08/13.22 Current options:
% 93.08/13.22 ------
% 93.08/13.22
% 93.08/13.22
% 93.08/13.22
% 93.08/13.22
% 93.08/13.22 ------ Proving...
% 93.08/13.22
% 93.08/13.22
% 93.08/13.22 % SZS status Unsatisfiable for theBenchmark.p
% 93.08/13.22
% 93.08/13.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 93.08/13.22
% 93.08/13.23
%------------------------------------------------------------------------------