%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET260-6 : 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 : n006.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 02:47:02 PM UTC 2026
% Result : Unsatisfiable 49.39s 8.35s
% Output : CNFRefutation 49.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 23
% Syntax : Number of formulae : 99 ( 32 unt; 0 def)
% Number of atoms : 188 ( 32 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 175 ( 86 ~; 89 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 5 con; 0-3 aty)
% Number of variables : 151 ( 0 sgn 151 !; 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(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(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(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(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(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(f63,axiom,
! [X0] :
( subclass(X0,cross_product(universal_class,universal_class))
| ~ function(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',function1) ).
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(f122,negated_conjecture,
member(ordered_pair(x,y),xr),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_domain_alternate_defn3_1) ).
fof(f123,negated_conjecture,
member(ordered_pair(x,y),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_domain_alternate_defn3_2) ).
fof(f124,negated_conjecture,
~ member(x,domain_of(xr)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_domain_alternate_defn3_3) ).
fof(f129,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(f138,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,f129]) ).
fof(f139,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,f129]) ).
fof(f140,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,f129]) ).
fof(f141,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,f129]) ).
fof(f146,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]) ).
fof(f187,plain,
member(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))),xr),
inference(definition_unfolding,[],[f122,f129]) ).
fof(f188,plain,
member(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))),cross_product(universal_class,universal_class)),
inference(definition_unfolding,[],[f123,f129]) ).
tcf(c_164,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X2)
| ~ subclass(X1,X2)
| ~ member(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_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_174,plain,
! [X0: $i,X1: $i] : member(unordered_pair(X0,X1),universal_class),
inference(cnf_transformation,[],[f11]) ).
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,[],[f138]) ).
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,[],[f139]) ).
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,[],[f140]) ).
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,[],[f141]) ).
tcf(c_183,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X2)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[],[f22]) ).
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,[],[f146]) ).
tcf(c_212,plain,
! [X0: $i] :
( subclass(X0,cross_product(universal_class,universal_class))
| ~ function(X0) ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_216,plain,
! [X0: $i] :
( member(regular(X0),X0)
| ( X0 = null_class ) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_257,negated_conjecture,
member(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))),xr),
inference(cnf_transformation,[],[f187]) ).
tcf(c_258,negated_conjecture,
member(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))),cross_product(universal_class,universal_class)),
inference(cnf_transformation,[],[f188]) ).
tcf(c_259,negated_conjecture,
~ member(x,domain_of(xr)),
inference(cnf_transformation,[],[f124]) ).
tcf(c_2987,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_2990,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,X2)
| ~ member(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_3891,plain,
( member(y,universal_class)
| ~ member(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))),cross_product(universal_class,universal_class)) ),
inference(instantiation,[status(thm)],[c_176]) ).
tcf(c_3939,plain,
! [X0: $i] :
( ( complement(X0) = null_class )
| ~ member(regular(complement(X0)),X0) ),
inference(superposition,[status(thm)],[c_216,c_185]) ).
tcf(c_3940,plain,
( ( complement(universal_class) = null_class )
| ~ member(regular(complement(universal_class)),universal_class) ),
inference(instantiation,[status(thm)],[c_3939]) ).
tcf(c_4712,plain,
! [X0: $i,X1: $i] :
( subclass(complement(X0),X1)
| ~ member(not_subclass_element(complement(X0),X1),X0) ),
inference(resolution,[status(thm)],[c_185,c_165]) ).
tcf(c_4758,plain,
! [X0: $i,X1: $i] :
( member(X0,universal_class)
| ~ member(X0,X1) ),
inference(resolution,[status(thm)],[c_164,c_167]) ).
tcf(c_4915,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),universal_class) ),
inference(resolution,[status(thm)],[c_4758,c_165]) ).
tcf(c_5208,plain,
! [X0: $i] : subclass(complement(universal_class),X0),
inference(resolution,[status(thm)],[c_4712,c_4915]) ).
tcf(c_5213,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| ~ member(X0,complement(universal_class)) ),
inference(resolution,[status(thm)],[c_5208,c_164]) ).
tcf(c_5354,plain,
! [X0: $i] :
( member(regular(complement(universal_class)),X0)
| ( complement(universal_class) = null_class ) ),
inference(resolution,[status(thm)],[c_5213,c_216]) ).
tcf(c_5355,plain,
( member(regular(complement(universal_class)),universal_class)
| ( complement(universal_class) = null_class ) ),
inference(instantiation,[status(thm)],[c_5354]) ).
tcf(c_5356,plain,
complement(universal_class) = null_class,
inference(global_subsumption_just,[status(thm)],[c_5354,c_3940,c_5355]) ).
tcf(c_8729,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X2)
| ~ member(X1,X2)
| ( X0 != X1 ) ),
inference(resolution,[status(thm)],[c_2990,c_2987]) ).
tcf(c_10063,plain,
member(x,universal_class),
inference(superposition,[status(thm)],[c_258,c_175]) ).
tcf(c_10120,plain,
( ( intersection(xr,cross_product(unordered_pair(x,x),universal_class)) = null_class )
| ~ member(x,universal_class) ),
inference(superposition,[status(thm)],[c_189,c_259]) ).
tcf(c_10127,plain,
intersection(xr,cross_product(unordered_pair(x,x),universal_class)) = null_class,
inference(forward_subsumption_resolution,[status(thm)],[c_10120,c_10063]) ).
tcf(c_10159,plain,
! [X0: $i] :
( member(X0,cross_product(unordered_pair(x,x),universal_class))
| ~ member(X0,null_class) ),
inference(superposition,[status(thm)],[c_10127,c_183]) ).
tcf(c_10177,plain,
! [X0: $i,X1: $i] :
( member(X1,X0)
| ~ member(X1,null_class)
| ~ subclass(cross_product(unordered_pair(x,x),universal_class),X0) ),
inference(superposition,[status(thm)],[c_10159,c_164]) ).
tcf(c_11255,plain,
! [X0: $i] :
( member(X0,universal_class)
| ~ member(X0,null_class) ),
inference(superposition,[status(thm)],[c_167,c_10177]) ).
tcf(c_13939,plain,
unordered_pair(unordered_pair(first(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y)))),first(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))))),unordered_pair(first(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y)))),unordered_pair(second(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y)))),second(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))))))) = unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))),
inference(resolution,[status(thm)],[c_178,c_258]) ).
tcf(c_14432,plain,
! [X0: $i] :
( member(unordered_pair(unordered_pair(first(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y)))),first(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))))),unordered_pair(first(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y)))),unordered_pair(second(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y)))),second(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))))))),X0)
| ~ member(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))),X0) ),
inference(resolution,[status(thm)],[c_13939,c_8729]) ).
tcf(c_14460,plain,
! [X0: $i,X1: $i] :
( member(first(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y)))),X0)
| ~ member(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))),cross_product(X0,X1)) ),
inference(resolution,[status(thm)],[c_14432,c_175]) ).
tcf(c_15245,plain,
! [X0: $i,X1: $i] :
( member(first(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y)))),X0)
| ~ member(y,X1)
| ~ member(x,X0) ),
inference(resolution,[status(thm)],[c_14460,c_177]) ).
tcf(c_16865,plain,
! [X0: $i] :
( ( complement(X0) = null_class )
| ~ member(regular(complement(X0)),X0) ),
inference(superposition,[status(thm)],[c_216,c_185]) ).
tcf(c_16883,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(unordered_pair(X1,X2),X0)
| ~ subclass(universal_class,X0) ),
inference(superposition,[status(thm)],[c_174,c_164]) ).
tcf(c_17120,plain,
member(x,universal_class),
inference(superposition,[status(thm)],[c_258,c_175]) ).
tcf(c_17174,plain,
( ( intersection(xr,cross_product(unordered_pair(x,x),universal_class)) = null_class )
| ~ member(x,universal_class) ),
inference(superposition,[status(thm)],[c_189,c_259]) ).
tcf(c_17179,plain,
intersection(xr,cross_product(unordered_pair(x,x),universal_class)) = null_class,
inference(forward_subsumption_resolution,[status(thm)],[c_17174,c_17120]) ).
tcf(c_17201,plain,
! [X0: $i] :
( member(X0,null_class)
| ~ member(X0,xr)
| ~ member(X0,cross_product(unordered_pair(x,x),universal_class)) ),
inference(superposition,[status(thm)],[c_17179,c_184]) ).
tcf(c_17326,plain,
unordered_pair(unordered_pair(first(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y)))),first(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))))),unordered_pair(first(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y)))),unordered_pair(second(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y)))),second(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))))))) = unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))),
inference(superposition,[status(thm)],[c_258,c_178]) ).
tcf(c_17376,plain,
! [X0: $i,X1: $i] :
( member(second(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y)))),X1)
| ~ member(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))),cross_product(X0,X1)) ),
inference(superposition,[status(thm)],[c_17326,c_176]) ).
tcf(c_17377,plain,
! [X0: $i,X1: $i] :
( member(first(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y)))),X0)
| ~ member(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))),cross_product(X0,X1)) ),
inference(superposition,[status(thm)],[c_17326,c_175]) ).
tcf(c_17379,plain,
! [X0: $i,X1: $i] :
( member(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))),cross_product(X0,X1))
| ~ member(second(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y)))),X1)
| ~ member(first(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y)))),X0) ),
inference(superposition,[status(thm)],[c_17326,c_177]) ).
tcf(c_17536,plain,
member(second(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y)))),universal_class),
inference(superposition,[status(thm)],[c_258,c_17376]) ).
tcf(c_17596,plain,
! [X0: $i,X1: $i] :
( member(first(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y)))),X0)
| ~ member(y,X1)
| ~ member(x,X0) ),
inference(superposition,[status(thm)],[c_177,c_17377]) ).
tcf(c_18723,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ subclass(universal_class,cross_product(X0,X1)) ),
inference(superposition,[status(thm)],[c_16883,c_176]) ).
tcf(c_18811,plain,
( member(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))),null_class)
| ~ member(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))),xr)
| ~ member(second(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y)))),universal_class)
| ~ member(first(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y)))),unordered_pair(x,x)) ),
inference(superposition,[status(thm)],[c_17379,c_17201]) ).
tcf(c_18812,plain,
( member(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))),null_class)
| ~ member(first(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y)))),unordered_pair(x,x)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18811,c_257,c_17536]) ).
tcf(c_18986,plain,
! [X0: $i] :
( member(X0,universal_class)
| ~ function(universal_class) ),
inference(superposition,[status(thm)],[c_212,c_18723]) ).
tcf(c_19471,plain,
( ( complement(universal_class) = null_class )
| ~ function(universal_class) ),
inference(superposition,[status(thm)],[c_18986,c_16865]) ).
tcf(c_19501,plain,
complement(universal_class) = null_class,
inference(global_subsumption_just,[status(thm)],[c_19471,c_5356]) ).
tcf(c_19928,plain,
! [X0: $i] :
( ~ member(X0,null_class)
| ~ member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_19501,c_185]) ).
tcf(c_19955,plain,
! [X0: $i] : ~ member(X0,null_class),
inference(global_subsumption_just,[status(thm)],[c_19928,c_11255,c_19928]) ).
tcf(c_20061,plain,
~ member(first(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y)))),unordered_pair(x,x)),
inference(backward_subsumption_resolution,[status(thm)],[c_18812,c_19955]) ).
tcf(c_26544,plain,
! [X0: $i] :
( member(first(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y)))),X0)
| ~ member(y,universal_class)
| ~ member(x,X0) ),
inference(resolution,[status(thm)],[c_15245,c_172]) ).
tcf(c_34707,plain,
! [X0: $i] :
( member(first(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y)))),X0)
| ~ member(x,X0) ),
inference(global_subsumption_just,[status(thm)],[c_17596,c_258,c_3891,c_26544]) ).
tcf(c_34732,plain,
~ member(x,unordered_pair(x,x)),
inference(superposition,[status(thm)],[c_34707,c_20061]) ).
tcf(c_34733,plain,
~ member(x,universal_class),
inference(superposition,[status(thm)],[c_172,c_34732]) ).
tcf(c_34735,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_34733,c_17120]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET260-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.38 % Computer : n006.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.39 % CPULimit : 300
% 0.09/0.39 % WCLimit : 300
% 0.09/0.39 % DateTime : Thu Sep 24 10:23:58 UTC 2026
% 0.09/0.39 % CPUTime :
% 0.09/0.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.43 Running first-order theorem proving
% 0.09/0.43 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
% 0.09/0.44
% 0.09/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.44
% 0.09/0.44 % Detected problem language: tptp
% 0.09/0.45 % Proving...
% 49.39/8.35 % SZS status Started for theBenchmark.p
% 49.39/8.35 % SZS status Unsatisfiable for theBenchmark.p
% 49.39/8.35
% 49.39/8.35 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 49.39/8.35
% 49.39/8.35 % ------ iProver source info
% 49.39/8.35
% 49.39/8.35 % git: date: 2026-07-19 20:42:38 +0200
% 49.39/8.35 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 49.39/8.35 % git: non_committed_changes: false
% 49.39/8.35
% 49.39/8.35 % ------ Parsing...% successful
% 49.39/8.35
% 49.39/8.35
% 49.39/8.35 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 49.39/8.35
% 49.39/8.35 % ------ 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 %
% 49.39/8.35
% 49.39/8.35 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 49.39/8.35
% 49.39/8.35 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 49.39/8.35 % ------ Proving...
% 49.39/8.35 % ------ Problem Properties
% 49.39/8.35
% 49.39/8.35 %
% 49.39/8.35 % clauses 84
% 49.39/8.35 % conjectures 3
% 49.39/8.35 % EPR 12
% 49.39/8.35 % Horn 76
% 49.39/8.35 % unary 23
% 49.39/8.35 % binary 40
% 49.39/8.35 % lits 172
% 49.39/8.35 % lits eq 25
% 49.39/8.35 % fd_pure 0
% 49.39/8.35 % fd_pseudo 0
% 49.39/8.35 % fd_cond 3
% 49.39/8.35 % fd_pseudo_cond 7
% 49.39/8.35 % AC symbols 0
% 49.39/8.35
% 49.39/8.35 % ------ Input Options Time Limit: Unbounded
% 49.39/8.35
% 49.39/8.35
% 49.39/8.35 % ------
% 49.39/8.35 % Current options:
% 49.39/8.35 % ------
% 49.39/8.35
% 49.39/8.35
% 49.39/8.35 %
% 49.39/8.35
% 49.39/8.35 % ------ Proving...
% 49.39/8.35 %
% 49.39/8.35
% 49.39/8.35 % SZS status Unsatisfiable for theBenchmark.p
% 49.39/8.35
% 49.39/8.35 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 49.39/8.35
% 49.39/8.35
%------------------------------------------------------------------------------