%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET280-6 : 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 : n008.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 02:47:03 PM UTC 2026
% Result : Unsatisfiable 55.67s 8.50s
% Output : CNFRefutation 55.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 21
% Syntax : Number of formulae : 104 ( 29 unt; 0 def)
% Number of atoms : 194 ( 44 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 172 ( 82 ~; 90 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 3 con; 0-3 aty)
% Number of variables : 148 ( 0 sgn 148 !; 0 ?; 82 :)
% 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(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(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(f14,axiom,
! [X2,X3,X0,X1] :
( member(X0,X2)
| ~ member(ordered_pair(X0,X1),cross_product(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product1) ).
fof(f15,axiom,
! [X2,X3,X0,X1] :
( member(X1,X3)
| ~ member(ordered_pair(X0,X1),cross_product(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product2) ).
fof(f16,axiom,
! [X2,X3,X0,X1] :
( member(ordered_pair(X0,X2),cross_product(X1,X3))
| ~ member(X2,X3)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product3) ).
fof(f17,axiom,
! [X2,X0,X1] :
( ordered_pair(first(X0),second(X0)) = X0
| ~ member(X0,cross_product(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product4) ).
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(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(f28,axiom,
! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',restriction1) ).
fof(f31,axiom,
! [X0,X1] :
( member(X0,domain_of(X1))
| restrict(X1,singleton(X0),universal_class) = null_class
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',domain2) ).
fof(f32,plain,
! [X0,X1] :
( member(X0,domain_of(X1))
| null_class = restrict(X1,singleton(X0),universal_class)
| ~ member(X0,universal_class) ),
inference(reorient_equations,[],[f31]) ).
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,
domain_of(x) = null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_domain_property6_1) ).
fof(f123,plain,
null_class = domain_of(x),
inference(reorient_equations,[],[f122]) ).
fof(f124,negated_conjecture,
subclass(x,cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_domain_property6_2) ).
fof(f125,negated_conjecture,
x != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_domain_property6_3) ).
fof(f126,plain,
null_class != x,
inference(reorient_equations,[],[f125]) ).
fof(f131,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(f140,plain,
! [X2,X3,X0,X1] :
( member(X0,X2)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3)) ),
inference(definition_unfolding,[],[f14,f131]) ).
fof(f141,plain,
! [X2,X3,X0,X1] :
( member(X1,X3)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3)) ),
inference(definition_unfolding,[],[f15,f131]) ).
fof(f142,plain,
! [X2,X3,X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),cross_product(X1,X3))
| ~ member(X2,X3)
| ~ member(X0,X1) ),
inference(definition_unfolding,[],[f16,f131]) ).
fof(f143,plain,
! [X2,X0,X1] :
( unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))) = X0
| ~ member(X0,cross_product(X1,X2)) ),
inference(definition_unfolding,[],[f17,f131]) ).
fof(f148,plain,
! [X0,X1] :
( member(X0,domain_of(X1))
| null_class = intersection(X1,cross_product(unordered_pair(X0,X0),universal_class))
| ~ member(X0,universal_class) ),
inference(definition_unfolding,[],[f32,f28,f12]) ).
tcf(c_164,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_165,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_166,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_167,plain,
! [X0: $i] : subclass(X0,universal_class),
inference(cnf_transformation,[],[f4]) ).
tcf(c_172,plain,
! [X0: $i,X1: $i] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_175,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,X2)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3)) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_176,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X1,X3)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3)) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_177,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),cross_product(X1,X3))
| ~ member(X2,X3)
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_178,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))) = X0 )
| ~ member(X0,cross_product(X1,X2)) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_182,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X1)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_184,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_185,plain,
! [X0: $i,X1: $i] :
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_189,plain,
! [X0: $i,X1: $i] :
( member(X0,domain_of(X1))
| ( intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)) = null_class )
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_216,plain,
! [X0: $i] :
( member(regular(X0),X0)
| ( X0 = null_class ) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_217,plain,
! [X0: $i] :
( ( X0 = null_class )
| ( intersection(X0,regular(X0)) = null_class ) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_257,negated_conjecture,
domain_of(x) = null_class,
inference(cnf_transformation,[],[f123]) ).
tcf(c_258,negated_conjecture,
subclass(x,cross_product(universal_class,universal_class)),
inference(cnf_transformation,[],[f124]) ).
tcf(c_259,negated_conjecture,
x != null_class,
inference(cnf_transformation,[],[f126]) ).
tcf(c_3840,plain,
( member(regular(x),x)
| ( x = null_class ) ),
inference(instantiation,[status(thm)],[c_216]) ).
tcf(c_3924,plain,
! [X0: $i,X1: $i,X2: $i] :
( subclass(intersection(X0,X1),X2)
| member(not_subclass_element(intersection(X0,X1),X2),X0) ),
inference(superposition,[status(thm)],[c_165,c_182]) ).
tcf(c_3942,plain,
! [X0: $i,X1: $i] :
( subclass(complement(X0),X1)
| ~ member(not_subclass_element(complement(X0),X1),X0) ),
inference(superposition,[status(thm)],[c_165,c_185]) ).
tcf(c_3943,plain,
! [X0: $i] :
( ( complement(X0) = null_class )
| ~ member(regular(complement(X0)),X0) ),
inference(superposition,[status(thm)],[c_216,c_185]) ).
tcf(c_3944,plain,
( ( complement(universal_class) = null_class )
| ~ member(regular(complement(universal_class)),universal_class) ),
inference(instantiation,[status(thm)],[c_3943]) ).
tcf(c_4007,plain,
! [X0: $i,X1: $i] :
( member(X0,universal_class)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_167,c_164]) ).
tcf(c_4131,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),universal_class) ),
inference(superposition,[status(thm)],[c_165,c_4007]) ).
tcf(c_4376,plain,
! [X0: $i] : subclass(complement(universal_class),X0),
inference(superposition,[status(thm)],[c_4131,c_3942]) ).
tcf(c_4391,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| ~ member(X0,complement(universal_class)) ),
inference(superposition,[status(thm)],[c_4376,c_164]) ).
tcf(c_4404,plain,
! [X0: $i] :
( member(regular(complement(universal_class)),X0)
| ( complement(universal_class) = null_class ) ),
inference(superposition,[status(thm)],[c_216,c_4391]) ).
tcf(c_4405,plain,
( member(regular(complement(universal_class)),universal_class)
| ( complement(universal_class) = null_class ) ),
inference(instantiation,[status(thm)],[c_4404]) ).
tcf(c_4486,plain,
complement(universal_class) = null_class,
inference(global_subsumption_just,[status(thm)],[c_4404,c_3944,c_4405]) ).
tcf(c_4510,plain,
! [X0: $i] :
( ~ member(X0,universal_class)
| ~ member(X0,null_class) ),
inference(superposition,[status(thm)],[c_4486,c_185]) ).
tcf(c_4592,plain,
! [X0: $i] :
( member(X0,cross_product(universal_class,universal_class))
| ~ member(X0,x) ),
inference(superposition,[status(thm)],[c_258,c_164]) ).
tcf(c_4597,plain,
! [X0: $i,X1: $i] :
( member(X0,universal_class)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_167,c_164]) ).
tcf(c_4655,plain,
! [X0: $i] :
( subclass(X0,cross_product(universal_class,universal_class))
| ~ member(not_subclass_element(X0,cross_product(universal_class,universal_class)),x) ),
inference(superposition,[status(thm)],[c_4592,c_166]) ).
tcf(c_5074,plain,
! [X0: $i] : subclass(intersection(x,X0),cross_product(universal_class,universal_class)),
inference(superposition,[status(thm)],[c_3924,c_4655]) ).
tcf(c_5334,plain,
( subclass(null_class,cross_product(universal_class,universal_class))
| ( x = null_class ) ),
inference(superposition,[status(thm)],[c_217,c_5074]) ).
tcf(c_5337,plain,
subclass(null_class,cross_product(universal_class,universal_class)),
inference(forward_subsumption_resolution,[status(thm)],[c_5334,c_259]) ).
tcf(c_5349,plain,
! [X0: $i] :
( member(X0,cross_product(universal_class,universal_class))
| ~ member(X0,null_class) ),
inference(superposition,[status(thm)],[c_5337,c_164]) ).
tcf(c_5399,plain,
! [X0: $i] :
( member(X0,universal_class)
| ~ member(X0,null_class) ),
inference(superposition,[status(thm)],[c_5349,c_4597]) ).
tcf(c_5403,plain,
! [X0: $i] : ~ member(X0,null_class),
inference(global_subsumption_just,[status(thm)],[c_5399,c_4510,c_5399]) ).
tcf(c_5408,plain,
! [X0: $i] : subclass(null_class,X0),
inference(superposition,[status(thm)],[c_165,c_5403]) ).
tcf(c_6149,plain,
! [X0: $i] :
( member(X0,cross_product(universal_class,universal_class))
| ~ member(X0,x) ),
inference(superposition,[status(thm)],[c_258,c_164]) ).
tcf(c_6162,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| ~ member(X0,null_class) ),
inference(superposition,[status(thm)],[c_5408,c_164]) ).
tcf(c_6195,plain,
! [X0: $i] : ~ member(X0,null_class),
inference(global_subsumption_just,[status(thm)],[c_6162,c_5403]) ).
tcf(c_6417,plain,
! [X0: $i,X1: $i] :
( member(X0,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),x) ),
inference(superposition,[status(thm)],[c_6149,c_175]) ).
tcf(c_6425,plain,
! [X0: $i,X1: $i] :
( member(X1,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),x) ),
inference(superposition,[status(thm)],[c_6149,c_176]) ).
tcf(c_6636,plain,
! [X0: $i] :
( ( unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))) = X0 )
| ~ member(X0,x) ),
inference(superposition,[status(thm)],[c_6149,c_178]) ).
tcf(c_6663,plain,
( ( x = null_class )
| ( unordered_pair(unordered_pair(first(regular(x)),first(regular(x))),unordered_pair(first(regular(x)),unordered_pair(second(regular(x)),second(regular(x))))) = regular(x) ) ),
inference(superposition,[status(thm)],[c_216,c_6636]) ).
tcf(c_6664,plain,
unordered_pair(unordered_pair(first(regular(x)),first(regular(x))),unordered_pair(first(regular(x)),unordered_pair(second(regular(x)),second(regular(x))))) = regular(x),
inference(forward_subsumption_resolution,[status(thm)],[c_6663,c_259]) ).
tcf(c_6671,plain,
( member(second(regular(x)),universal_class)
| ~ member(regular(x),x) ),
inference(superposition,[status(thm)],[c_6664,c_6425]) ).
tcf(c_6672,plain,
( member(first(regular(x)),universal_class)
| ~ member(regular(x),x) ),
inference(superposition,[status(thm)],[c_6664,c_6417]) ).
tcf(c_9922,plain,
! [X0: $i] :
( member(X0,cross_product(universal_class,universal_class))
| ~ member(X0,x) ),
inference(superposition,[status(thm)],[c_258,c_164]) ).
tcf(c_10171,plain,
! [X0: $i,X1: $i] :
( member(X0,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),x) ),
inference(superposition,[status(thm)],[c_9922,c_175]) ).
tcf(c_10214,plain,
! [X0: $i,X1: $i] :
( member(X1,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),x) ),
inference(superposition,[status(thm)],[c_9922,c_176]) ).
tcf(c_10226,plain,
! [X0: $i] :
( member(X0,null_class)
| ( intersection(x,cross_product(unordered_pair(X0,X0),universal_class)) = null_class )
| ~ member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_257,c_189]) ).
tcf(c_10234,plain,
! [X0: $i] :
( ( intersection(x,cross_product(unordered_pair(X0,X0),universal_class)) = null_class )
| ~ member(X0,universal_class) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10226,c_6195]) ).
tcf(c_10462,plain,
! [X0: $i] :
( ( unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))) = X0 )
| ~ member(X0,x) ),
inference(superposition,[status(thm)],[c_9922,c_178]) ).
tcf(c_10523,plain,
( ( x = null_class )
| ( unordered_pair(unordered_pair(first(regular(x)),first(regular(x))),unordered_pair(first(regular(x)),unordered_pair(second(regular(x)),second(regular(x))))) = regular(x) ) ),
inference(superposition,[status(thm)],[c_216,c_10462]) ).
tcf(c_10526,plain,
unordered_pair(unordered_pair(first(regular(x)),first(regular(x))),unordered_pair(first(regular(x)),unordered_pair(second(regular(x)),second(regular(x))))) = regular(x),
inference(forward_subsumption_resolution,[status(thm)],[c_10523,c_259]) ).
tcf(c_10534,plain,
( member(second(regular(x)),universal_class)
| ~ member(regular(x),x) ),
inference(superposition,[status(thm)],[c_10526,c_10214]) ).
tcf(c_10537,plain,
( member(first(regular(x)),universal_class)
| ~ member(regular(x),x) ),
inference(superposition,[status(thm)],[c_10526,c_10171]) ).
tcf(c_10540,plain,
! [X0: $i,X1: $i] :
( member(regular(x),cross_product(X0,X1))
| ~ member(second(regular(x)),X1)
| ~ member(first(regular(x)),X0) ),
inference(superposition,[status(thm)],[c_10526,c_177]) ).
tcf(c_10543,plain,
member(second(regular(x)),universal_class),
inference(global_subsumption_just,[status(thm)],[c_10534,c_259,c_3840,c_6671]) ).
tcf(c_10546,plain,
member(first(regular(x)),universal_class),
inference(global_subsumption_just,[status(thm)],[c_10537,c_259,c_3840,c_6672]) ).
tcf(c_10548,plain,
intersection(x,cross_product(unordered_pair(first(regular(x)),first(regular(x))),universal_class)) = null_class,
inference(superposition,[status(thm)],[c_10546,c_10234]) ).
tcf(c_11745,plain,
! [X0: $i] :
( member(X0,null_class)
| ~ member(X0,x)
| ~ member(X0,cross_product(unordered_pair(first(regular(x)),first(regular(x))),universal_class)) ),
inference(superposition,[status(thm)],[c_10548,c_184]) ).
tcf(c_11753,plain,
! [X0: $i] :
( ~ member(X0,x)
| ~ member(X0,cross_product(unordered_pair(first(regular(x)),first(regular(x))),universal_class)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11745,c_6195]) ).
tcf(c_13657,plain,
( ~ member(regular(x),x)
| ~ member(second(regular(x)),universal_class)
| ~ member(first(regular(x)),unordered_pair(first(regular(x)),first(regular(x)))) ),
inference(superposition,[status(thm)],[c_10540,c_11753]) ).
tcf(c_13660,plain,
( ~ member(regular(x),x)
| ~ member(first(regular(x)),unordered_pair(first(regular(x)),first(regular(x)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13657,c_10543]) ).
tcf(c_13905,plain,
~ member(first(regular(x)),unordered_pair(first(regular(x)),first(regular(x)))),
inference(global_subsumption_just,[status(thm)],[c_13660,c_259,c_3840,c_13660]) ).
tcf(c_13907,plain,
~ member(first(regular(x)),universal_class),
inference(superposition,[status(thm)],[c_172,c_13905]) ).
tcf(c_13909,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_13907,c_10546]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET280-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.37 % Computer : n008.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Thu Sep 24 10:28:24 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/0.43 Running first-order theorem proving
% 0.15/0.43 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
% 0.15/0.45
% 0.15/0.45 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.45
% 0.15/0.45 % Detected problem language: tptp
% 0.15/0.46 % Proving...
% 55.67/8.50 % SZS status Started for theBenchmark.p
% 55.67/8.50 % SZS status Unsatisfiable for theBenchmark.p
% 55.67/8.50
% 55.67/8.50 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 55.67/8.50
% 55.67/8.50 % ------ iProver source info
% 55.67/8.50
% 55.67/8.50 % git: date: 2026-07-19 20:42:38 +0200
% 55.67/8.50 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 55.67/8.50 % git: non_committed_changes: false
% 55.67/8.50
% 55.67/8.50 % ------ Parsing...% successful
% 55.67/8.50
% 55.67/8.50
% 55.67/8.50 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 55.67/8.50
% 55.67/8.50 % ------ 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 %
% 55.67/8.50
% 55.67/8.50 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 55.67/8.50
% 55.67/8.50 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 55.67/8.50 % ------ Proving...
% 55.67/8.50 % ------ Problem Properties
% 55.67/8.50
% 55.67/8.50 %
% 55.67/8.50 % clauses 84
% 55.67/8.50 % conjectures 3
% 55.67/8.50 % EPR 13
% 55.67/8.50 % Horn 76
% 55.67/8.50 % unary 23
% 55.67/8.50 % binary 40
% 55.67/8.50 % lits 172
% 55.67/8.50 % lits eq 27
% 55.67/8.50 % fd_pure 0
% 55.67/8.50 % fd_pseudo 0
% 55.67/8.50 % fd_cond 3
% 55.67/8.50 % fd_pseudo_cond 7
% 55.67/8.50 % AC symbols 0
% 55.67/8.50
% 55.67/8.50 % ------ Input Options Time Limit: Unbounded
% 55.67/8.50
% 55.67/8.50
% 55.67/8.50 % ------
% 55.67/8.50 % Current options:
% 55.67/8.50 % ------
% 55.67/8.50
% 55.67/8.50
% 55.67/8.50 %
% 55.67/8.50
% 55.67/8.50 % ------ Proving...
% 55.67/8.50 %
% 55.67/8.50
% 55.67/8.50 % SZS status Unsatisfiable for theBenchmark.p
% 55.67/8.50
% 55.67/8.50 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 55.67/8.50
% 55.67/8.50
%------------------------------------------------------------------------------