%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET513-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:47:21 PM UTC 2026
% Result : Unsatisfiable 18.09s 19.91s
% Output : CNFRefutation 18.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 26
% Syntax : Number of formulae : 125 ( 40 unt; 5 def)
% Number of atoms : 357 ( 77 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 186 ( 80 ~; 106 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 128 ( 0 sgn 128 !; 0 ?; 86 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
fof(f7,axiom,
! [X0,X1] :
( X0 = X1
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).
fof(f8,axiom,
! [X2,X0,X1] :
( X0 = X2
| X0 = X1
| ~ member(X0,unordered_pair(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair_member) ).
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).
fof(f10,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X1,X0))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair3) ).
fof(f11,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pairs_in_universal) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',singleton_set) ).
fof(f13,axiom,
! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',ordered_pair) ).
fof(f21,axiom,
! [X2,X0,X1] :
( member(X0,X1)
| ~ member(X0,intersection(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( member(X0,X2)
| ~ member(X0,intersection(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection2) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection3) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement1) ).
fof(f25,axiom,
! [X0,X1] :
( member(X0,X1)
| member(X0,complement(X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement2) ).
fof(f48,axiom,
! [X0] :
( member(null_class,X0)
| ~ inductive(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',inductive1) ).
fof(f51,axiom,
inductive(omega),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',omega_is_inductive1) ).
fof(f67,axiom,
! [X0] :
( member(regular(X0),X0)
| X0 = null_class ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity1) ).
fof(f68,plain,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
inference(reorient_equations,[],[f67]) ).
fof(f69,axiom,
! [X0] :
( intersection(X0,regular(X0)) = null_class
| X0 = null_class ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity2) ).
fof(f70,plain,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
inference(reorient_equations,[],[f69]) ).
fof(f122,negated_conjecture,
ordered_pair(universal_class,universal_class) != unordered_pair(null_class,singleton(null_class)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_3_to_property_1_of_ordered_pair_1) ).
fof(f127,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(definition_unfolding,[],[f13,f12,f12]) ).
fof(f185,plain,
unordered_pair(unordered_pair(universal_class,universal_class),unordered_pair(universal_class,unordered_pair(universal_class,universal_class))) != unordered_pair(null_class,unordered_pair(null_class,null_class)),
inference(definition_unfolding,[],[f122,f127,f12]) ).
tcf(c_162,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_163,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_164,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_165,plain,
! [X0: $i] : subclass(X0,universal_class),
inference(cnf_transformation,[],[f4]) ).
tcf(c_168,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_169,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( X0 = X1 )
| ~ member(X0,unordered_pair(X1,X2)) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_170,plain,
! [X0: $i,X1: $i] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_171,plain,
! [X0: $i,X1: $i] :
( member(X0,unordered_pair(X1,X0))
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_172,plain,
! [X0: $i,X1: $i] : member(unordered_pair(X0,X1),universal_class),
inference(cnf_transformation,[],[f11]) ).
tcf(c_180,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X1)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_181,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X2)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_182,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_183,plain,
! [X0: $i,X1: $i] :
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_184,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| member(X0,complement(X1))
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_197,plain,
! [X0: $i] :
( member(null_class,X0)
| ~ inductive(X0) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_200,plain,
inductive(omega),
inference(cnf_transformation,[],[f51]) ).
tcf(c_214,plain,
! [X0: $i] :
( member(regular(X0),X0)
| ( X0 = null_class ) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_215,plain,
! [X0: $i] :
( ( X0 = null_class )
| ( intersection(X0,regular(X0)) = null_class ) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_255,negated_conjecture,
unordered_pair(unordered_pair(universal_class,universal_class),unordered_pair(universal_class,unordered_pair(universal_class,universal_class))) != unordered_pair(null_class,unordered_pair(null_class,null_class)),
inference(cnf_transformation,[],[f185]) ).
tcf(c_390,plain,
! [X0: $i] :
( member(null_class,X0)
| ~ inductive(X0) ),
inference(prop_impl_just,[status(thm)],[c_197]) ).
tcf(c_1487,plain,
! [X0: $i] :
( member(null_class,X0)
| ( X0 != omega ) ),
inference(resolution_lifted,[status(thm)],[c_390,c_200]) ).
tcf(c_1488,plain,
member(null_class,omega),
inference(unflattening,[status(thm)],[c_1487]) ).
tcf(c_2974,definition,
iPr_def_10 = unordered_pair(universal_class,universal_class),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_2975,definition,
iPr_def_11 = unordered_pair(universal_class,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_2976,definition,
iPr_def_12 = unordered_pair(iPr_def_10,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_2977,definition,
iPr_def_13 = unordered_pair(null_class,null_class),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_2978,definition,
iPr_def_14 = unordered_pair(null_class,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_2979,negated_conjecture,
iPr_def_12 != iPr_def_14,
inference(demodulation,[status(thm)],[c_255,c_2977,c_2978,c_2975,c_2974,c_2976]) ).
tcf(c_3839,plain,
member(iPr_def_10,universal_class),
inference(superposition,[status(thm)],[c_2974,c_172]) ).
tcf(c_3880,plain,
( member(universal_class,iPr_def_10)
| ~ member(universal_class,universal_class) ),
inference(superposition,[status(thm)],[c_2974,c_170]) ).
tcf(c_3881,plain,
( member(null_class,iPr_def_13)
| ~ member(null_class,universal_class) ),
inference(superposition,[status(thm)],[c_2977,c_170]) ).
tcf(c_3916,plain,
( member(iPr_def_10,iPr_def_11)
| ~ member(iPr_def_10,universal_class) ),
inference(superposition,[status(thm)],[c_2975,c_171]) ).
tcf(c_3921,plain,
member(iPr_def_10,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_3916,c_3839]) ).
tcf(c_3974,plain,
! [X0: $i,X1: $i] :
( subclass(complement(X0),X1)
| ~ member(not_subclass_element(complement(X0),X1),X0) ),
inference(superposition,[status(thm)],[c_163,c_183]) ).
tcf(c_3975,plain,
! [X0: $i] :
( ( complement(X0) = null_class )
| ~ member(regular(complement(X0)),X0) ),
inference(superposition,[status(thm)],[c_214,c_183]) ).
tcf(c_3980,plain,
( ( complement(universal_class) = null_class )
| ~ member(regular(complement(universal_class)),universal_class) ),
inference(instantiation,[status(thm)],[c_3975]) ).
tcf(c_4056,plain,
! [X0: $i,X1: $i] :
( member(X0,universal_class)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_165,c_162]) ).
tcf(c_4170,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),universal_class) ),
inference(superposition,[status(thm)],[c_163,c_4056]) ).
tcf(c_4176,plain,
! [X0: $i] :
( member(regular(X0),universal_class)
| ( X0 = null_class ) ),
inference(superposition,[status(thm)],[c_214,c_4056]) ).
tcf(c_4178,plain,
member(null_class,universal_class),
inference(superposition,[status(thm)],[c_1488,c_4056]) ).
tcf(c_4202,plain,
member(null_class,iPr_def_13),
inference(backward_subsumption_resolution,[status(thm)],[c_3881,c_4178]) ).
tcf(c_4341,plain,
! [X0: $i] :
( ( X0 = universal_class )
| ~ member(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2974,c_169]) ).
tcf(c_4342,plain,
! [X0: $i] :
( ( X0 = null_class )
| ~ member(X0,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2977,c_169]) ).
tcf(c_4343,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ( X0 = universal_class )
| ~ member(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_2975,c_169]) ).
tcf(c_4377,plain,
! [X0: $i] :
( subclass(iPr_def_10,X0)
| ( not_subclass_element(iPr_def_10,X0) = universal_class ) ),
inference(superposition,[status(thm)],[c_163,c_4341]) ).
tcf(c_4378,plain,
( ( null_class = iPr_def_10 )
| ( regular(iPr_def_10) = universal_class ) ),
inference(superposition,[status(thm)],[c_214,c_4341]) ).
tcf(c_4610,plain,
( member(universal_class,universal_class)
| ( null_class = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4378,c_4176]) ).
tcf(c_4611,plain,
( member(universal_class,iPr_def_10)
| ( null_class = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4378,c_214]) ).
tcf(c_4612,plain,
( ( null_class = iPr_def_10 )
| ( intersection(iPr_def_10,universal_class) = null_class ) ),
inference(superposition,[status(thm)],[c_4378,c_215]) ).
tcf(c_4686,plain,
! [X0: $i] :
( member(X0,null_class)
| ( null_class = iPr_def_10 )
| ~ member(X0,iPr_def_10)
| ~ member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_4612,c_182]) ).
tcf(c_4701,plain,
( member(universal_class,null_class)
| ( null_class = iPr_def_10 )
| ~ member(universal_class,iPr_def_10)
| ~ member(universal_class,universal_class) ),
inference(instantiation,[status(thm)],[c_4686]) ).
tcf(c_4918,plain,
! [X0: $i] : subclass(complement(universal_class),X0),
inference(superposition,[status(thm)],[c_4170,c_3974]) ).
tcf(c_4948,plain,
! [X0: $i] :
( ( complement(universal_class) = X0 )
| ~ subclass(X0,complement(universal_class)) ),
inference(superposition,[status(thm)],[c_4918,c_168]) ).
tcf(c_4949,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| ~ member(X0,complement(universal_class)) ),
inference(superposition,[status(thm)],[c_4918,c_162]) ).
tcf(c_4962,plain,
! [X0: $i] :
( member(regular(complement(universal_class)),X0)
| ( complement(universal_class) = null_class ) ),
inference(superposition,[status(thm)],[c_214,c_4949]) ).
tcf(c_4965,plain,
( member(regular(complement(universal_class)),universal_class)
| ( complement(universal_class) = null_class ) ),
inference(instantiation,[status(thm)],[c_4962]) ).
tcf(c_4982,plain,
complement(universal_class) = null_class,
inference(global_subsumption_just,[status(thm)],[c_4962,c_3980,c_4965]) ).
tcf(c_4984,plain,
! [X0: $i] :
( ( X0 = null_class )
| ~ subclass(X0,null_class) ),
inference(demodulation,[status(thm)],[c_4948,c_4982]) ).
tcf(c_4985,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| ~ member(X0,null_class) ),
inference(demodulation,[status(thm)],[c_4949,c_4982]) ).
tcf(c_4996,plain,
! [X0: $i] :
( ~ member(X0,null_class)
| ~ member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_4982,c_183]) ).
tcf(c_5003,plain,
! [X0: $i] : ~ member(X0,null_class),
inference(global_subsumption_just,[status(thm)],[c_4985,c_4056,c_4985,c_4996]) ).
tcf(c_5005,plain,
~ member(universal_class,null_class),
inference(instantiation,[status(thm)],[c_5003]) ).
tcf(c_5013,plain,
( ( null_class = iPr_def_10 )
| ( not_subclass_element(iPr_def_10,null_class) = universal_class ) ),
inference(superposition,[status(thm)],[c_4377,c_4984]) ).
tcf(c_5022,plain,
null_class = iPr_def_10,
inference(global_subsumption_just,[status(thm)],[c_5013,c_4611,c_4610,c_4701,c_5005]) ).
tcf(c_5025,plain,
! [X0: $i] : ~ member(X0,iPr_def_10),
inference(demodulation,[status(thm)],[c_5003,c_5022]) ).
tcf(c_5036,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ member(X0,iPr_def_13) ),
inference(demodulation,[status(thm)],[c_4342,c_5022]) ).
tcf(c_5039,plain,
! [X0: $i] :
( member(regular(X0),universal_class)
| ( X0 = iPr_def_10 ) ),
inference(demodulation,[status(thm)],[c_4176,c_5022]) ).
tcf(c_5041,plain,
member(iPr_def_10,iPr_def_13),
inference(demodulation,[status(thm)],[c_4202,c_5022]) ).
tcf(c_5045,plain,
! [X0: $i] :
( member(regular(X0),X0)
| ( X0 = iPr_def_10 ) ),
inference(demodulation,[status(thm)],[c_214,c_5022]) ).
tcf(c_5047,plain,
unordered_pair(iPr_def_10,iPr_def_13) = iPr_def_14,
inference(demodulation,[status(thm)],[c_2978,c_5022]) ).
tcf(c_5082,plain,
~ member(universal_class,universal_class),
inference(backward_subsumption_resolution,[status(thm)],[c_3880,c_5025]) ).
tcf(c_5424,plain,
! [X0: $i,X1: $i] :
( member(regular(intersection(X0,X1)),X1)
| ( intersection(X0,X1) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_5045,c_181]) ).
tcf(c_5425,plain,
! [X0: $i,X1: $i] :
( member(regular(intersection(X0,X1)),X0)
| ( intersection(X0,X1) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_5045,c_180]) ).
tcf(c_8052,plain,
! [X0: $i] :
( ( intersection(X0,iPr_def_13) = iPr_def_10 )
| ( regular(intersection(X0,iPr_def_13)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_5424,c_5036]) ).
tcf(c_8053,plain,
! [X0: $i] :
( ( intersection(X0,iPr_def_11) = iPr_def_10 )
| ( regular(intersection(X0,iPr_def_11)) = iPr_def_10 )
| ( regular(intersection(X0,iPr_def_11)) = universal_class ) ),
inference(superposition,[status(thm)],[c_5424,c_4343]) ).
tcf(c_15053,plain,
! [X0: $i] :
( member(iPr_def_10,X0)
| ( intersection(X0,iPr_def_13) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_8052,c_5425]) ).
tcf(c_15094,plain,
! [X0: $i] :
( ( intersection(complement(X0),iPr_def_13) = iPr_def_10 )
| ~ member(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_15053,c_183]) ).
tcf(c_16002,plain,
intersection(complement(iPr_def_11),iPr_def_13) = iPr_def_10,
inference(superposition,[status(thm)],[c_3921,c_15094]) ).
tcf(c_16329,plain,
! [X0: $i] :
( member(X0,iPr_def_10)
| ~ member(X0,iPr_def_13)
| ~ member(X0,complement(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_16002,c_182]) ).
tcf(c_16338,plain,
! [X0: $i] :
( ~ member(X0,iPr_def_13)
| ~ member(X0,complement(iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16329,c_5025]) ).
tcf(c_17333,plain,
! [X0: $i] :
( member(X0,iPr_def_11)
| ~ member(X0,iPr_def_13)
| ~ member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_184,c_16338]) ).
tcf(c_18143,plain,
! [X0: $i] :
( member(X0,iPr_def_11)
| ~ member(X0,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17333,c_4056]) ).
tcf(c_18150,plain,
! [X0: $i] :
( subclass(iPr_def_13,X0)
| member(not_subclass_element(iPr_def_13,X0),iPr_def_11) ),
inference(superposition,[status(thm)],[c_163,c_18143]) ).
tcf(c_18218,plain,
subclass(iPr_def_13,iPr_def_11),
inference(superposition,[status(thm)],[c_18150,c_164]) ).
tcf(c_18226,plain,
( ( iPr_def_11 = iPr_def_13 )
| ~ subclass(iPr_def_11,iPr_def_13) ),
inference(superposition,[status(thm)],[c_18218,c_168]) ).
tcf(c_21352,plain,
! [X0: $i] :
( member(universal_class,universal_class)
| ( intersection(X0,iPr_def_11) = iPr_def_10 )
| ( regular(intersection(X0,iPr_def_11)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_8053,c_5039]) ).
tcf(c_21370,plain,
! [X0: $i] :
( ( intersection(X0,iPr_def_11) = iPr_def_10 )
| ( regular(intersection(X0,iPr_def_11)) = iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21352,c_5082]) ).
tcf(c_105652,plain,
! [X0: $i] :
( member(iPr_def_10,X0)
| ( intersection(X0,iPr_def_11) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_21370,c_5425]) ).
tcf(c_105739,plain,
! [X0: $i] :
( ( intersection(complement(X0),iPr_def_11) = iPr_def_10 )
| ~ member(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_105652,c_183]) ).
tcf(c_108824,plain,
intersection(complement(iPr_def_13),iPr_def_11) = iPr_def_10,
inference(superposition,[status(thm)],[c_5041,c_105739]) ).
tcf(c_111968,plain,
! [X0: $i] :
( member(X0,iPr_def_10)
| ~ member(X0,iPr_def_11)
| ~ member(X0,complement(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_108824,c_182]) ).
tcf(c_111990,plain,
! [X0: $i] :
( ~ member(X0,iPr_def_11)
| ~ member(X0,complement(iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_111968,c_5025]) ).
tcf(c_115148,plain,
! [X0: $i] :
( member(X0,iPr_def_13)
| ~ member(X0,iPr_def_11)
| ~ member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_184,c_111990]) ).
tcf(c_119478,plain,
! [X0: $i] :
( member(X0,iPr_def_13)
| ~ member(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115148,c_4056]) ).
tcf(c_119485,plain,
! [X0: $i] :
( subclass(iPr_def_11,X0)
| member(not_subclass_element(iPr_def_11,X0),iPr_def_13) ),
inference(superposition,[status(thm)],[c_163,c_119478]) ).
tcf(c_119584,plain,
subclass(iPr_def_11,iPr_def_13),
inference(superposition,[status(thm)],[c_119485,c_164]) ).
tcf(c_119630,plain,
iPr_def_11 = iPr_def_13,
inference(backward_subsumption_resolution,[status(thm)],[c_18226,c_119584]) ).
tcf(c_120474,plain,
unordered_pair(iPr_def_10,iPr_def_11) = iPr_def_14,
inference(demodulation,[status(thm)],[c_5047,c_119630]) ).
tcf(c_120478,plain,
iPr_def_12 = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_120474,c_2976]) ).
tcf(c_120479,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_120478,c_2979]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET513-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.02/15.23 % CPULimit : 300
% 0.02/15.23 % WCLimit : 300
% 0.02/15.23 % DateTime : Thu Sep 24 11:09:39 UTC 2026
% 0.02/15.23 % CPUTime :
% 0.02/15.23 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.02/15.25 Running first-order theorem proving
% 0.02/15.25 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/15.25
% 0.02/15.25 % ======== iProver multi-core TPTP/SMT =========
% 0.02/15.25
% 0.02/15.25 % Detected problem language: tptp
% 0.02/15.26 % Proving...
% 18.09/19.91 % SZS status Started for theBenchmark.p
% 18.09/19.91 % SZS status Unsatisfiable for theBenchmark.p
% 18.09/19.91
% 18.09/19.91 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 18.09/19.91
% 18.09/19.91 % ------ iProver source info
% 18.09/19.91
% 18.09/19.91 % git: date: 2026-07-19 20:42:38 +0200
% 18.09/19.91 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 18.09/19.91 % git: non_committed_changes: false
% 18.09/19.91
% 18.09/19.91 % ------ Parsing...% successful
% 18.09/19.91
% 18.09/19.91
% 18.09/19.91 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 18.09/19.91
% 18.09/19.91 % ------ Preprocessing... sup_sim: 0 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 %
% 18.09/19.91
% 18.09/19.91 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 18.09/19.91
% 18.09/19.91 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 18.09/19.91 % ------ Proving...
% 18.09/19.91 % ------ Problem Properties
% 18.09/19.91
% 18.09/19.91 %
% 18.09/19.91 % clauses 87
% 18.09/19.91 % conjectures 1
% 18.09/19.91 % EPR 13
% 18.09/19.91 % Horn 79
% 18.09/19.91 % unary 26
% 18.09/19.91 % binary 40
% 18.09/19.91 % lits 175
% 18.09/19.91 % lits eq 31
% 18.09/19.91 % fd_pure 0
% 18.09/19.91 % fd_pseudo 0
% 18.09/19.91 % fd_cond 3
% 18.09/19.91 % fd_pseudo_cond 7
% 18.09/19.91 % AC symbols 0
% 18.09/19.91
% 18.09/19.91 % ------ Schedule dynamic 5 is on
% 18.09/19.91
% 18.09/19.91 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 18.09/19.91
% 18.09/19.91
% 18.09/19.91 % ------
% 18.09/19.91 % Current options:
% 18.09/19.91 % ------
% 18.09/19.91
% 18.09/19.91
% 18.09/19.91 %
% 18.09/19.91
% 18.09/19.91 % ------ Proving...
% 18.09/19.91 %
% 18.09/19.91
% 18.09/19.91 % SZS status Unsatisfiable for theBenchmark.p
% 18.09/19.91
% 18.09/19.91 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 18.09/19.91
% 18.09/19.91
%------------------------------------------------------------------------------