TSTP Solution File: SET134-6 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET134-6 : 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 15:06:44 EDT 2023
% Result : Unsatisfiable 70.12s 10.28s
% Output : CNFRefutation 70.12s
% 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_6271,plain,
subclass(intersection(X0,X1),X0),
inference(superposition,[status(thm)],[c_4072,c_54]) ).
cnf(c_6479,plain,
subclass(restrict(X0,X1,X2),X0),
inference(superposition,[status(thm)],[c_79,c_6271]) ).
cnf(c_6481,plain,
( X0 = null_class
| subclass(null_class,X0) ),
inference(superposition,[status(thm)],[c_118,c_6271]) ).
cnf(c_6495,plain,
( ~ subclass(X0,null_class)
| X0 = null_class ),
inference(superposition,[status(thm)],[c_6481,c_58]) ).
cnf(c_6721,plain,
subclass(intersection(X0,X1),X1),
inference(superposition,[status(thm)],[c_4080,c_54]) ).
cnf(c_6992,plain,
intersection(null_class,X0) = null_class,
inference(superposition,[status(thm)],[c_6271,c_6495]) ).
cnf(c_6993,plain,
restrict(null_class,X0,X1) = null_class,
inference(superposition,[status(thm)],[c_6479,c_6495]) ).
cnf(c_6999,plain,
subclass(null_class,X0),
inference(superposition,[status(thm)],[c_6992,c_6721]) ).
cnf(c_7002,plain,
subclass(null_class,null_class),
inference(superposition,[status(thm)],[c_6992,c_6271]) ).
cnf(c_9426,plain,
~ member(X0,domain_of(null_class)),
inference(superposition,[status(thm)],[c_6993,c_81]) ).
cnf(c_9470,plain,
domain_of(null_class) = null_class,
inference(superposition,[status(thm)],[c_117,c_9426]) ).
cnf(c_9503,plain,
~ member(X0,null_class),
inference(superposition,[status(thm)],[c_9470,c_9426]) ).
cnf(c_36883,plain,
( ~ subclass(X0,null_class)
| X0 = null_class ),
inference(superposition,[status(thm)],[c_6999,c_58]) ).
cnf(c_50475,plain,
subclass(intersection(X0,X1),X0),
inference(superposition,[status(thm)],[c_4072,c_54]) ).
cnf(c_50572,plain,
subclass(symmetric_difference(X0,X1),complement(intersection(X0,X1))),
inference(superposition,[status(thm)],[c_738,c_50475]) ).
cnf(c_53433,plain,
subclass(symmetric_difference(complement(X0),complement(X1)),union(X0,X1)),
inference(superposition,[status(thm)],[c_77,c_50572]) ).
cnf(c_54905,plain,
subclass(symmetric_difference(complement(singleton(X0)),complement(X1)),set_builder(X0,X1)),
inference(superposition,[status(thm)],[c_49,c_53433]) ).
cnf(c_56490,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_54905]) ).
cnf(c_56575,plain,
symmetric_difference(complement(singleton(u)),complement(set_builder(y,set_builder(z,null_class)))) = null_class,
inference(superposition,[status(thm)],[c_56490,c_36883]) ).
cnf(c_56581,plain,
subclass(null_class,complement(intersection(complement(singleton(u)),complement(set_builder(y,set_builder(z,null_class)))))),
inference(superposition,[status(thm)],[c_56575,c_50572]) ).
cnf(c_57954,plain,
subclass(intersection(X0,X1),X1),
inference(superposition,[status(thm)],[c_4080,c_54]) ).
cnf(c_58121,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_56581,c_58]) ).
cnf(c_58135,plain,
subclass(symmetric_difference(X0,X1),union(X0,X1)),
inference(superposition,[status(thm)],[c_738,c_57954]) ).
cnf(c_58151,plain,
subclass(symmetric_difference(singleton(X0),X1),set_builder(X0,X1)),
inference(superposition,[status(thm)],[c_49,c_58135]) ).
cnf(c_58158,plain,
( ~ subclass(union(X0,X1),symmetric_difference(X0,X1))
| union(X0,X1) = symmetric_difference(X0,X1) ),
inference(superposition,[status(thm)],[c_58135,c_58]) ).
cnf(c_58164,plain,
subclass(symmetric_difference(singleton(u),set_builder(y,set_builder(z,null_class))),null_class),
inference(superposition,[status(thm)],[c_51,c_58151]) ).
cnf(c_59441,plain,
symmetric_difference(singleton(u),set_builder(y,set_builder(z,null_class))) = null_class,
inference(superposition,[status(thm)],[c_58164,c_36883]) ).
cnf(c_59937,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_59441,c_58158]) ).
cnf(c_61249,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_59937]) ).
cnf(c_63061,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_58121]) ).
cnf(c_63064,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_61249]) ).
cnf(c_63065,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_63064,c_7002,c_63064]) ).
cnf(c_63079,plain,
subclass(union(singleton(u),set_builder(y,set_builder(z,null_class))),null_class),
inference(superposition,[status(thm)],[c_63065,c_58164]) ).
cnf(c_77678,plain,
( ~ member(X0,universal_class)
| member(X0,singleton(X0)) ),
inference(superposition,[status(thm)],[c_63,c_60]) ).
cnf(c_79297,plain,
( ~ subclass(X0,null_class)
| X0 = null_class ),
inference(superposition,[status(thm)],[c_6999,c_58]) ).
cnf(c_91381,plain,
subclass(intersection(X0,X1),X0),
inference(superposition,[status(thm)],[c_4072,c_54]) ).
cnf(c_93188,plain,
subclass(symmetric_difference(X0,X1),complement(intersection(X0,X1))),
inference(superposition,[status(thm)],[c_738,c_91381]) ).
cnf(c_94693,plain,
subclass(symmetric_difference(complement(X0),complement(X1)),union(X0,X1)),
inference(superposition,[status(thm)],[c_77,c_93188]) ).
cnf(c_95335,plain,
subclass(symmetric_difference(complement(singleton(X0)),complement(X1)),set_builder(X0,X1)),
inference(superposition,[status(thm)],[c_49,c_94693]) ).
cnf(c_96942,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_95335]) ).
cnf(c_97018,plain,
symmetric_difference(complement(singleton(u)),complement(set_builder(y,set_builder(z,null_class)))) = null_class,
inference(superposition,[status(thm)],[c_96942,c_79297]) ).
cnf(c_97019,plain,
subclass(null_class,complement(intersection(complement(singleton(u)),complement(set_builder(y,set_builder(z,null_class)))))),
inference(superposition,[status(thm)],[c_97018,c_93188]) ).
cnf(c_98634,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_97019,c_58]) ).
cnf(c_99173,plain,
complement(intersection(complement(singleton(u)),complement(set_builder(y,set_builder(z,null_class))))) = null_class,
inference(global_subsumption_just,[status(thm)],[c_98634,c_63061,c_63079]) ).
cnf(c_99194,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_99173,c_76]) ).
cnf(c_102711,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_99194,c_9503,c_99194]) ).
cnf(c_102712,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_102711]) ).
cnf(c_102717,plain,
( ~ member(X0,universal_class)
| member(X0,complement(singleton(u))) ),
inference(superposition,[status(thm)],[c_102712,c_72]) ).
cnf(c_102883,plain,
( ~ member(X0,singleton(u))
| ~ member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_102717,c_75]) ).
cnf(c_102928,plain,
~ member(u,universal_class),
inference(superposition,[status(thm)],[c_77678,c_102883]) ).
cnf(c_102950,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_102928,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET134-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n001.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 14:32:31 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.47 Running first-order theorem proving
% 0.21/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 70.12/10.28 % SZS status Started for theBenchmark.p
% 70.12/10.28 % SZS status Unsatisfiable for theBenchmark.p
% 70.12/10.28
% 70.12/10.28 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 70.12/10.28
% 70.12/10.28 ------ iProver source info
% 70.12/10.28
% 70.12/10.28 git: date: 2023-05-31 18:12:56 +0000
% 70.12/10.28 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 70.12/10.28 git: non_committed_changes: false
% 70.12/10.28 git: last_make_outside_of_git: false
% 70.12/10.28
% 70.12/10.28 ------ Parsing...successful
% 70.12/10.28
% 70.12/10.28
% 70.12/10.28
% 70.12/10.28 ------ 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
% 70.12/10.28
% 70.12/10.28 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 70.12/10.28
% 70.12/10.28 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 70.12/10.28 ------ Proving...
% 70.12/10.28 ------ Problem Properties
% 70.12/10.28
% 70.12/10.28
% 70.12/10.28 clauses 86
% 70.12/10.28 conjectures 2
% 70.12/10.28 EPR 13
% 70.12/10.28 Horn 78
% 70.12/10.28 unary 34
% 70.12/10.28 binary 32
% 70.12/10.28 lits 164
% 70.12/10.28 lits eq 38
% 70.12/10.28 fd_pure 0
% 70.12/10.28 fd_pseudo 0
% 70.12/10.28 fd_cond 3
% 70.12/10.28 fd_pseudo_cond 3
% 70.12/10.28 AC symbols 0
% 70.12/10.28
% 70.12/10.28 ------ Input Options Time Limit: Unbounded
% 70.12/10.28
% 70.12/10.28
% 70.12/10.28 ------
% 70.12/10.28 Current options:
% 70.12/10.28 ------
% 70.12/10.28
% 70.12/10.28
% 70.12/10.28
% 70.12/10.28
% 70.12/10.28 ------ Proving...
% 70.12/10.28
% 70.12/10.28
% 70.12/10.28 % SZS status Unsatisfiable for theBenchmark.p
% 70.12/10.28
% 70.12/10.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 70.12/10.28
% 70.12/10.29
%------------------------------------------------------------------------------