%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET383-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 : Tue Sep 29 12:40:53 PM UTC 2026
% Result : Unsatisfiable 14.35s 3.02s
% Output : Refutation 15.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 35
% Syntax : Number of formulae : 155 ( 36 unt; 11 def)
% Number of atoms : 510 ( 44 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 695 ( 340 ~; 352 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 11 con; 0-3 aty)
% Number of variables : 335 ( 0 sgn 335 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f10,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X1,X0))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair3) ).
fof(f11,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pairs_in_universal) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set) ).
fof(f13,axiom,
! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordered_pair) ).
fof(f14,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product1) ).
fof(f15,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product2) ).
fof(f16,axiom,
! [X2,X3,X0,X1] :
( ~ member(X0,X1)
| ~ member(X2,X3)
| member(ordered_pair(X0,X2),cross_product(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product3) ).
fof(f17,axiom,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| ordered_pair(first(X0),second(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product4) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection3) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
fof(f28,axiom,
! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',restriction1) ).
fof(f31,axiom,
! [X0,X1] :
( ~ member(X0,universal_class)
| restrict(X1,singleton(X0),universal_class) = null_class
| member(X0,domain_of(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain2) ).
fof(f32,plain,
! [X0,X1] :
( ~ member(X0,universal_class)
| null_class = restrict(X1,singleton(X0),universal_class)
| member(X0,domain_of(X1)) ),
inference(reorient_equations,[],[f31]) ).
fof(f37,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(ordered_pair(X0,X1),X2),flip(X3))
| member(ordered_pair(ordered_pair(X1,X0),X2),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',flip2) ).
fof(f38,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(ordered_pair(X0,X1),X2),X3)
| ~ member(ordered_pair(ordered_pair(X1,X0),X2),cross_product(cross_product(universal_class,universal_class),universal_class))
| member(ordered_pair(ordered_pair(X1,X0),X2),flip(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',flip3) ).
fof(f39,axiom,
! [X0] : domain_of(flip(cross_product(X0,universal_class))) = inverse(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f40,axiom,
! [X0] : domain_of(inverse(X0)) = range_of(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',range_of) ).
fof(f67,axiom,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity1) ).
fof(f68,plain,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
inference(reorient_equations,[],[f67]) ).
fof(f69,axiom,
! [X0] :
( X0 = null_class
| intersection(X0,regular(X0)) = null_class ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity2) ).
fof(f70,plain,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
inference(reorient_equations,[],[f69]) ).
fof(f122,negated_conjecture,
~ subclass(restrict(x,universal_class,universal_class),cross_product(domain_of(x),range_of(x))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_2_to_relation_property2_1) ).
fof(f124,plain,
! [X0] : range_of(X0) = domain_of(domain_of(flip(cross_product(X0,universal_class)))),
inference(definition_unfolding,[],[f40,f39]) ).
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(f136,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3))
| member(X0,X2) ),
inference(definition_unfolding,[],[f14,f127]) ).
fof(f137,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3))
| member(X1,X3) ),
inference(definition_unfolding,[],[f15,f127]) ).
fof(f138,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,f127]) ).
fof(f139,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,f127]) ).
fof(f144,plain,
! [X0,X1] :
( null_class = intersection(X1,cross_product(unordered_pair(X0,X0),universal_class))
| ~ member(X0,universal_class)
| member(X0,domain_of(X1)) ),
inference(definition_unfolding,[],[f32,f28,f12]) ).
fof(f147,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),flip(X3))
| member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X2,X2))),X3) ),
inference(definition_unfolding,[],[f37,f127,f127,f127,f127]) ).
fof(f148,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),X3)
| ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X2,X2))),cross_product(cross_product(universal_class,universal_class),universal_class))
| member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X2,X2))),flip(X3)) ),
inference(definition_unfolding,[],[f38,f127,f127,f127,f127,f127,f127]) ).
fof(f185,plain,
~ subclass(intersection(x,cross_product(universal_class,universal_class)),cross_product(domain_of(x),domain_of(domain_of(flip(cross_product(x,universal_class)))))),
inference(definition_unfolding,[],[f122,f28,f124]) ).
fof(f190,definition,
sF0 = cross_product(universal_class,universal_class),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f191,plain,
cross_product(universal_class,universal_class) = sF0,
inference(reorient_equations,[],[f190]) ).
fof(f192,definition,
sF1 = intersection(x,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f193,plain,
intersection(x,sF0) = sF1,
inference(reorient_equations,[],[f192]) ).
fof(f194,definition,
sF2 = domain_of(x),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f195,plain,
domain_of(x) = sF2,
inference(reorient_equations,[],[f194]) ).
fof(f196,definition,
sF3 = cross_product(x,universal_class),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f197,plain,
cross_product(x,universal_class) = sF3,
inference(reorient_equations,[],[f196]) ).
fof(f198,definition,
sF4 = flip(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f199,plain,
flip(sF3) = sF4,
inference(reorient_equations,[],[f198]) ).
fof(f200,definition,
sF5 = domain_of(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f201,plain,
domain_of(sF4) = sF5,
inference(reorient_equations,[],[f200]) ).
fof(f202,definition,
sF6 = domain_of(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f203,plain,
domain_of(sF5) = sF6,
inference(reorient_equations,[],[f202]) ).
fof(f204,definition,
sF7 = cross_product(sF2,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f205,plain,
cross_product(sF2,sF6) = sF7,
inference(reorient_equations,[],[f204]) ).
fof(f206,plain,
~ subclass(sF1,sF7),
inference(definition_folding,[],[f185,f205,f203,f201,f199,f197,f195,f193,f191]) ).
fof(f219,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X2,X2))),cross_product(sF0,universal_class))
| ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),X3)
| member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X2,X2))),flip(X3)) ),
inference(backward_demodulation,[],[f148,f191]) ).
fof(f229,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f21,f2]) ).
fof(f231,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X1)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f22,f2]) ).
fof(f237,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| member(X0,universal_class) ),
inference(superposition,[],[f136,f191]) ).
fof(f241,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,cross_product(X3,X4))
| member(second(X0),X2)
| ~ member(X0,cross_product(X1,X2)) ),
inference(superposition,[],[f137,f139]) ).
fof(f242,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,cross_product(X3,X4))
| member(first(X0),X1)
| ~ member(X0,cross_product(X1,X2)) ),
inference(superposition,[],[f136,f139]) ).
fof(f246,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X2,X1))
| member(second(X0),X1)
| ~ member(X0,sF0) ),
inference(superposition,[],[f241,f191]) ).
fof(f255,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(first(X0),X1)
| ~ member(X0,sF0) ),
inference(superposition,[],[f242,f191]) ).
fof(f279,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(unordered_pair(X2,X2),universal_class))
| member(X0,null_class)
| ~ member(X0,X1)
| ~ member(X2,universal_class)
| member(X2,domain_of(X1)) ),
inference(superposition,[],[f23,f144]) ).
fof(f285,plain,
! [X0] :
( ~ member(X0,sF0)
| member(second(X0),universal_class)
| ~ member(X0,sF0) ),
inference(superposition,[],[f246,f191]) ).
fof(f286,plain,
! [X0] :
( member(second(X0),universal_class)
| ~ member(X0,sF0) ),
inference(duplicate_literal_removal,[],[f285]) ).
fof(f294,plain,
! [X0,X1] :
( member(X0,X1)
| ~ member(X0,null_class)
| null_class = X1 ),
inference(superposition,[],[f21,f70]) ).
fof(f311,plain,
! [X0] :
( ~ member(X0,sF0)
| member(first(X0),universal_class)
| ~ member(X0,sF0) ),
inference(superposition,[],[f255,f191]) ).
fof(f312,plain,
! [X0] :
( member(first(X0),universal_class)
| ~ member(X0,sF0) ),
inference(duplicate_literal_removal,[],[f311]) ).
fof(f331,plain,
! [X2,X3,X0,X1,X4] :
( member(X0,cross_product(X1,X2))
| ~ member(second(X0),X2)
| ~ member(first(X0),X1)
| ~ member(X0,cross_product(X3,X4)) ),
inference(superposition,[],[f138,f139]) ).
fof(f332,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF7)
| ~ member(X1,sF6)
| ~ member(X0,sF2) ),
inference(superposition,[],[f138,f205]) ).
fof(f333,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF3)
| ~ member(X1,universal_class)
| ~ member(X0,x) ),
inference(superposition,[],[f138,f197]) ).
fof(f334,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| ~ member(X1,universal_class)
| ~ member(X0,universal_class) ),
inference(superposition,[],[f138,f191]) ).
fof(f335,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| ~ member(second(X0),sF6)
| ~ member(first(X0),sF2)
| member(X0,sF7) ),
inference(superposition,[],[f332,f139]) ).
fof(f341,plain,
! [X0] :
( ~ member(second(X0),sF6)
| ~ member(X0,sF0)
| ~ member(first(X0),sF2)
| member(X0,sF7) ),
inference(superposition,[],[f335,f191]) ).
fof(f495,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(first(X0),unordered_pair(X2,X2))
| ~ member(X0,X1)
| ~ member(X2,universal_class)
| member(X2,domain_of(X1))
| ~ member(second(X0),universal_class)
| member(X0,null_class)
| ~ member(X0,cross_product(X3,X4)) ),
inference(resolution,[],[f279,f331]) ).
fof(f498,plain,
! [X2,X3,X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),null_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),X2)
| ~ member(X3,universal_class)
| member(X3,domain_of(X2))
| ~ member(X1,universal_class)
| ~ member(X0,unordered_pair(X3,X3)) ),
inference(resolution,[],[f279,f138]) ).
fof(f518,plain,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),null_class)
| null_class = X1
| subclass(X0,X1) ),
inference(resolution,[],[f294,f3]) ).
fof(f957,definition,
( spl8_25
<=> ! [X0] : ~ member(X0,universal_class) ),
introduced(definition,[new_symbols(definition,[spl8_25])],[avatar_definition]) ).
fof(f958,plain,
( ! [X0] : ~ member(X0,universal_class)
| ~ spl8_25 ),
inference(avatar_component_clause,[],[f957]) ).
fof(f1221,plain,
! [X0] :
( null_class = X0
| subclass(null_class,X0)
| subclass(null_class,X0) ),
inference(resolution,[],[f518,f2]) ).
fof(f1224,plain,
! [X0] :
( subclass(null_class,X0)
| null_class = X0 ),
inference(duplicate_literal_removal,[],[f1221]) ).
fof(f1283,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f229,f3]) ).
fof(f1300,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f1283]) ).
fof(f2311,definition,
( spl8_62
<=> ! [X0] : ~ member(X0,null_class) ),
introduced(definition,[new_symbols(definition,[spl8_62])],[avatar_definition]) ).
fof(f2312,plain,
( ! [X0] : ~ member(X0,null_class)
| ~ spl8_62 ),
inference(avatar_component_clause,[],[f2311]) ).
fof(f2480,plain,
( universal_class = null_class
| ~ spl8_25 ),
inference(resolution,[],[f958,f68]) ).
fof(f2485,plain,
( ! [X0,X1] : member(unordered_pair(X0,X1),null_class)
| ~ spl8_25 ),
inference(backward_demodulation,[],[f11,f2480]) ).
fof(f2645,plain,
( $false
| ~ spl8_25
| ~ spl8_62 ),
inference(forward_subsumption_resolution,[],[f2485,f2312]) ).
fof(f2646,plain,
( ~ spl8_25
| ~ spl8_62 ),
inference(avatar_contradiction_clause,[],[f2645]) ).
fof(f4906,plain,
! [X0] :
( null_class = X0
| ~ subclass(X0,null_class)
| null_class = X0 ),
inference(resolution,[],[f1224,f7]) ).
fof(f4907,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0 ),
inference(duplicate_literal_removal,[],[f4906]) ).
fof(f4949,plain,
! [X0] : null_class = intersection(null_class,X0),
inference(resolution,[],[f4907,f1300]) ).
fof(f5319,plain,
! [X0] :
( member(not_subclass_element(sF1,X0),x)
| subclass(sF1,X0) ),
inference(superposition,[],[f229,f193]) ).
fof(f5320,plain,
! [X0] :
( member(not_subclass_element(sF1,X0),sF0)
| subclass(sF1,X0) ),
inference(superposition,[],[f231,f193]) ).
fof(f5396,plain,
! [X0,X1] :
( member(X0,X1)
| ~ member(X0,null_class) ),
inference(superposition,[],[f22,f4949]) ).
fof(f5792,plain,
! [X0,X1] :
( ~ member(X0,null_class)
| ~ member(X0,X1) ),
inference(resolution,[],[f5396,f24]) ).
fof(f5820,plain,
! [X0] : ~ member(X0,null_class),
inference(forward_subsumption_resolution,[],[f5792,f5396]) ).
fof(f5822,plain,
spl8_62,
inference(avatar_split_clause,[],[f5820,f2311]) ).
fof(f5830,plain,
( ! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),X2)
| ~ member(X3,universal_class)
| member(X3,domain_of(X2))
| ~ member(X1,universal_class)
| ~ member(X0,unordered_pair(X3,X3)) )
| ~ spl8_62 ),
inference(resolution,[],[f2312,f498]) ).
fof(f6505,plain,
! [X2,X3,X0,X1] :
( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X2,X2))),flip(X3))
| ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),X3)
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF0) ),
inference(resolution,[],[f219,f138]) ).
fof(f6518,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0))))),unordered_pair(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),unordered_pair(X1,X1))),X2)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),flip(X2))
| ~ member(X1,universal_class)
| ~ member(X0,sF0)
| ~ member(X0,cross_product(X3,X4)) ),
inference(superposition,[],[f6505,f139]) ).
fof(f6734,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ member(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),X2)
| ~ member(X1,universal_class)
| ~ member(X0,sF0)
| ~ member(X0,cross_product(X4,X5))
| ~ member(X1,X3)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),flip(cross_product(X2,X3))) ),
inference(resolution,[],[f6518,f138]) ).
fof(f7506,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,universal_class)
| ~ member(X1,sF0)
| ~ member(X1,cross_product(X2,X3))
| ~ member(X0,X4)
| member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),flip(cross_product(sF0,X4)))
| ~ member(first(X1),universal_class)
| ~ member(second(X1),universal_class) ),
inference(resolution,[],[f6734,f334]) ).
fof(f7538,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,universal_class)
| ~ member(X1,sF0)
| ~ member(X1,cross_product(X2,X3))
| ~ member(X0,X4)
| member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),flip(cross_product(sF0,X4)))
| ~ member(second(X1),universal_class) ),
inference(forward_subsumption_resolution,[],[f7506,f312]) ).
fof(f7541,plain,
! [X2,X3,X0,X1,X4] :
( member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),flip(cross_product(sF0,X4)))
| ~ member(X1,sF0)
| ~ member(X1,cross_product(X2,X3))
| ~ member(X0,X4)
| ~ member(X0,universal_class) ),
inference(forward_subsumption_resolution,[],[f7538,f286]) ).
fof(f7644,plain,
! [X2,X3,X0,X1] :
( ~ member(X0,X1)
| ~ member(first(X0),universal_class)
| member(first(X0),domain_of(X1))
| ~ member(second(X0),universal_class)
| member(X0,null_class)
| ~ member(X0,cross_product(X2,X3))
| ~ member(first(X0),universal_class) ),
inference(resolution,[],[f495,f10]) ).
fof(f7648,plain,
! [X2,X3,X0,X1] :
( ~ member(X0,X1)
| ~ member(first(X0),universal_class)
| member(first(X0),domain_of(X1))
| ~ member(second(X0),universal_class)
| member(X0,null_class)
| ~ member(X0,cross_product(X2,X3)) ),
inference(duplicate_literal_removal,[],[f7644]) ).
fof(f7651,plain,
( ! [X2,X3,X0,X1] :
( member(first(X0),domain_of(X1))
| ~ member(first(X0),universal_class)
| ~ member(X0,X1)
| ~ member(second(X0),universal_class)
| ~ member(X0,cross_product(X2,X3)) )
| ~ spl8_62 ),
inference(forward_subsumption_resolution,[],[f7648,f2312]) ).
fof(f7658,plain,
( ! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| ~ member(first(X0),universal_class)
| ~ member(X0,x)
| ~ member(second(X0),universal_class)
| member(first(X0),sF2) )
| ~ spl8_62 ),
inference(superposition,[],[f7651,f195]) ).
fof(f7724,plain,
( ! [X0] :
( ~ member(X0,sF0)
| ~ member(first(X0),universal_class)
| ~ member(X0,x)
| ~ member(second(X0),universal_class)
| member(first(X0),sF2) )
| ~ spl8_62 ),
inference(superposition,[],[f7658,f191]) ).
fof(f7727,plain,
( ! [X0] :
( ~ member(X0,sF0)
| ~ member(X0,x)
| ~ member(second(X0),universal_class)
| member(first(X0),sF2) )
| ~ spl8_62 ),
inference(forward_subsumption_resolution,[],[f7724,f312]) ).
fof(f7730,plain,
( ! [X0] :
( member(first(X0),sF2)
| ~ member(X0,x)
| ~ member(X0,sF0) )
| ~ spl8_62 ),
inference(forward_subsumption_resolution,[],[f7727,f286]) ).
fof(f7918,plain,
! [X2,X3,X0,X1,X4,X5] :
( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X4,X4))),cross_product(sF0,X5))
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3))
| ~ member(X4,X5)
| ~ member(X4,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0) ),
inference(resolution,[],[f7541,f147]) ).
fof(f7935,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3))
| ~ member(X4,universal_class)
| ~ member(X4,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X4,X4))),X5)
| member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X4,X4))),flip(X5)) ),
inference(resolution,[],[f7918,f219]) ).
fof(f7973,plain,
! [X2,X3,X0,X1,X4,X5] :
( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X4,X4))),flip(X5))
| ~ member(X4,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X4,X4))),X5)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3)) ),
inference(duplicate_literal_removal,[],[f7935]) ).
fof(f8052,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ member(X0,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),sF0)
| ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X0,X0))),X3)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),cross_product(X4,X5))
| ~ member(X6,universal_class)
| member(X6,domain_of(flip(X3)))
| ~ member(X0,universal_class)
| ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),unordered_pair(X6,X6)) )
| ~ spl8_62 ),
inference(resolution,[],[f7973,f5830]) ).
fof(f8057,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X0,X0))),X3)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),sF0)
| ~ member(X0,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),cross_product(X4,X5))
| ~ member(X6,universal_class)
| member(X6,domain_of(flip(X3)))
| ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),unordered_pair(X6,X6)) )
| ~ spl8_62 ),
inference(duplicate_literal_removal,[],[f8052]) ).
fof(f8490,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X3,X4))
| ~ member(X5,universal_class)
| member(X5,domain_of(flip(sF3)))
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X5,X5))
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),x) )
| ~ spl8_62 ),
inference(resolution,[],[f8057,f333]) ).
fof(f8530,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X3,X4))
| ~ member(X5,universal_class)
| member(X5,domain_of(flip(sF3)))
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X5,X5))
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),x) )
| ~ spl8_62 ),
inference(duplicate_literal_removal,[],[f8490]) ).
fof(f8561,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( member(X5,domain_of(sF4))
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X3,X4))
| ~ member(X5,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X5,X5))
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),x) )
| ~ spl8_62 ),
inference(forward_demodulation,[],[f8530,f199]) ).
fof(f8571,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( member(X5,sF5)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X3,X4))
| ~ member(X5,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X5,X5))
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),x) )
| ~ spl8_62 ),
inference(forward_demodulation,[],[f8561,f201]) ).
fof(f8578,definition,
( spl8_201
<=> ! [X3,X4,X0,X5,X1] :
( member(X5,sF5)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),x)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X5,X5))
| ~ member(X5,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X3,X4)) ) ),
introduced(definition,[new_symbols(definition,[spl8_201])],[avatar_definition]) ).
fof(f8579,plain,
( ! [X3,X0,X1,X4,X5] :
( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X5,X5))
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),x)
| member(X5,sF5)
| ~ member(X5,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X3,X4)) )
| ~ spl8_201 ),
inference(avatar_component_clause,[],[f8578]) ).
fof(f8580,plain,
( spl8_25
| spl8_201
| ~ spl8_62 ),
inference(avatar_split_clause,[],[f8571,f2311,f8578,f957]) ).
fof(f8593,plain,
( ! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),x)
| member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF5)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3))
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),universal_class) )
| ~ spl8_201 ),
inference(resolution,[],[f8579,f10]) ).
fof(f8598,plain,
( ! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),x)
| member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF5)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3)) )
| ~ spl8_201 ),
inference(duplicate_literal_removal,[],[f8593]) ).
fof(f8600,plain,
( ! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3))
| member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF5)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),x) )
| ~ spl8_201 ),
inference(forward_subsumption_resolution,[],[f8598,f11]) ).
fof(f8624,plain,
( ! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF5)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),x) )
| ~ spl8_201 ),
inference(superposition,[],[f8600,f191]) ).
fof(f8626,plain,
( ! [X0,X1] :
( member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF5)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),x) )
| ~ spl8_201 ),
inference(duplicate_literal_removal,[],[f8624]) ).
fof(f8636,plain,
( ! [X2,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),x)
| ~ member(X2,universal_class)
| member(X2,domain_of(sF5))
| ~ member(X0,universal_class)
| ~ member(X1,unordered_pair(X2,X2)) )
| ~ spl8_62
| ~ spl8_201 ),
inference(resolution,[],[f8626,f5830]) ).
fof(f8644,plain,
( ! [X2,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),x)
| ~ member(X2,universal_class)
| member(X2,domain_of(sF5))
| ~ member(X1,unordered_pair(X2,X2)) )
| ~ spl8_62
| ~ spl8_201 ),
inference(forward_subsumption_resolution,[],[f8636,f237]) ).
fof(f8648,plain,
( ! [X2,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| member(X2,sF6)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),x)
| ~ member(X2,universal_class)
| ~ member(X1,unordered_pair(X2,X2)) )
| ~ spl8_62
| ~ spl8_201 ),
inference(forward_demodulation,[],[f8644,f203]) ).
fof(f8681,plain,
( ! [X2,X3,X0,X1] :
( ~ member(second(X0),unordered_pair(X1,X1))
| member(X1,sF6)
| ~ member(X0,x)
| ~ member(X1,universal_class)
| ~ member(X0,sF0)
| ~ member(X0,cross_product(X2,X3)) )
| ~ spl8_62
| ~ spl8_201 ),
inference(superposition,[],[f8648,f139]) ).
fof(f8687,plain,
( ! [X2,X0,X1] :
( member(second(X0),sF6)
| ~ member(X0,x)
| ~ member(second(X0),universal_class)
| ~ member(X0,sF0)
| ~ member(X0,cross_product(X1,X2))
| ~ member(second(X0),universal_class) )
| ~ spl8_62
| ~ spl8_201 ),
inference(resolution,[],[f8681,f10]) ).
fof(f8691,plain,
( ! [X2,X0,X1] :
( member(second(X0),sF6)
| ~ member(X0,x)
| ~ member(second(X0),universal_class)
| ~ member(X0,sF0)
| ~ member(X0,cross_product(X1,X2)) )
| ~ spl8_62
| ~ spl8_201 ),
inference(duplicate_literal_removal,[],[f8687]) ).
fof(f8693,plain,
( ! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| ~ member(X0,x)
| ~ member(X0,sF0)
| member(second(X0),sF6) )
| ~ spl8_62
| ~ spl8_201 ),
inference(forward_subsumption_resolution,[],[f8691,f286]) ).
fof(f8715,plain,
( ! [X0] :
( ~ member(X0,sF0)
| ~ member(X0,x)
| ~ member(X0,sF0)
| member(second(X0),sF6) )
| ~ spl8_62
| ~ spl8_201 ),
inference(superposition,[],[f8693,f191]) ).
fof(f8717,plain,
( ! [X0] :
( member(second(X0),sF6)
| ~ member(X0,x)
| ~ member(X0,sF0) )
| ~ spl8_62
| ~ spl8_201 ),
inference(duplicate_literal_removal,[],[f8715]) ).
fof(f8721,plain,
( ! [X0] :
( ~ member(X0,x)
| ~ member(X0,sF0)
| ~ member(X0,sF0)
| ~ member(first(X0),sF2)
| member(X0,sF7) )
| ~ spl8_62
| ~ spl8_201 ),
inference(resolution,[],[f8717,f341]) ).
fof(f8724,plain,
( ! [X0] :
( ~ member(X0,x)
| ~ member(X0,sF0)
| ~ member(first(X0),sF2)
| member(X0,sF7) )
| ~ spl8_62
| ~ spl8_201 ),
inference(duplicate_literal_removal,[],[f8721]) ).
fof(f8725,plain,
( ! [X0] :
( member(X0,sF7)
| ~ member(X0,sF0)
| ~ member(X0,x) )
| ~ spl8_62
| ~ spl8_201 ),
inference(forward_subsumption_resolution,[],[f8724,f7730]) ).
fof(f8728,plain,
( ! [X0] :
( ~ member(not_subclass_element(X0,sF7),sF0)
| ~ member(not_subclass_element(X0,sF7),x)
| subclass(X0,sF7) )
| ~ spl8_62
| ~ spl8_201 ),
inference(resolution,[],[f8725,f3]) ).
fof(f8780,plain,
( ~ member(not_subclass_element(sF1,sF7),x)
| subclass(sF1,sF7)
| subclass(sF1,sF7)
| ~ spl8_62
| ~ spl8_201 ),
inference(resolution,[],[f8728,f5320]) ).
fof(f8794,plain,
( ~ member(not_subclass_element(sF1,sF7),x)
| subclass(sF1,sF7)
| ~ spl8_62
| ~ spl8_201 ),
inference(duplicate_literal_removal,[],[f8780]) ).
fof(f8805,plain,
( subclass(sF1,sF7)
| ~ spl8_62
| ~ spl8_201 ),
inference(forward_subsumption_resolution,[],[f8794,f5319]) ).
fof(f8806,plain,
( $false
| ~ spl8_62
| ~ spl8_201 ),
inference(forward_subsumption_resolution,[],[f8805,f206]) ).
fof(f8807,plain,
( ~ spl8_62
| ~ spl8_201 ),
inference(avatar_contradiction_clause,[],[f8806]) ).
cnf(s63,plain,
( ~ spl8_25
| ~ spl8_62 ),
inference(sat_conversion,[],[f2646]) ).
cnf(s117,plain,
spl8_62,
inference(sat_conversion,[],[f5822]) ).
cnf(s189,plain,
( spl8_25
| ~ spl8_62
| spl8_201 ),
inference(sat_conversion,[],[f8580]) ).
cnf(s193,plain,
( ~ spl8_62
| ~ spl8_201 ),
inference(sat_conversion,[],[f8807]) ).
cnf(s194,plain,
~ spl8_201,
inference(rat,[],[s193,s117]) ).
cnf(s195,plain,
spl8_25,
inference(rat,[],[s189,s194,s117]) ).
cnf(s199,plain,
$false,
inference(rat,[],[s63,s117,s195]) ).
fof(f8808,plain,
$false,
inference(avatar_sat_refutation,[],[s199]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET383-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n014.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 28 01:38:31 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.74/2.51 % (1351512)Input is clausal, will run a generic CNF schedule.
% 11.74/2.51 % (1351518)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4059914219:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 11.74/2.51 % (1351521)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2008903009:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 11.74/2.51 % (1351520)lrs+10_1_sil=8000:sp=occurrence:random_seed=1816986827:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 11.74/2.51 % (1351523)dis-21_1_sil=8000:lcm=predicate:random_seed=106509829:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 11.74/2.51 % (1351517)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2321913104:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 11.74/2.51 % (1351519)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=75836754:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 11.74/2.51 % (1351522)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2997553630:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 11.74/2.51 % (1351520)Instruction limit reached!
% 11.74/2.51 % (1351520)------------------------------
% 11.74/2.51 % (1351520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.74/2.51 % (1351520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.74/2.51 % (1351520)CaDiCaL version: 2.1.3
% 11.74/2.51 % (1351520)Termination reason: Instruction limit
% 11.74/2.51 % (1351520)Termination phase: Saturation
% 11.74/2.51 % (1351520)Time elapsed: 0.058 s
% 11.74/2.51 % (1351520)Peak memory usage: 88 MB
% 11.74/2.51 % (1351520)Instructions burned: 107 (million)
% 11.74/2.51 % (1351523)Instruction limit reached!
% 11.74/2.51 % (1351523)------------------------------
% 11.74/2.51 % (1351523)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.74/2.51 % (1351523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.74/2.51 % (1351523)CaDiCaL version: 2.1.3
% 11.74/2.51 % (1351523)Termination reason: Instruction limit
% 11.74/2.51 % (1351523)Termination phase: Saturation
% 11.74/2.51 % (1351523)Time elapsed: 0.066 s
% 11.74/2.51 % (1351523)Peak memory usage: 89 MB
% 11.74/2.51 % (1351523)Instructions burned: 120 (million)
% 11.74/2.51 % (1351521)Instruction limit reached!
% 11.74/2.51 % (1351521)------------------------------
% 11.74/2.51 % (1351521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.74/2.51 % (1351521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.74/2.51 % (1351521)CaDiCaL version: 2.1.3
% 11.74/2.51 % (1351521)Termination reason: Instruction limit
% 11.74/2.51 % (1351521)Termination phase: Saturation
% 11.74/2.51 % (1351521)Time elapsed: 0.067 s
% 11.74/2.51 % (1351521)Peak memory usage: 89 MB
% 11.74/2.51 % (1351521)Instructions burned: 116 (million)
% 11.74/2.51 % (1351522)Instruction limit reached!
% 11.74/2.51 % (1351522)------------------------------
% 11.74/2.51 % (1351522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.74/2.51 % (1351522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.74/2.51 % (1351522)CaDiCaL version: 2.1.3
% 11.74/2.51 % (1351522)Termination reason: Instruction limit
% 11.74/2.51 % (1351522)Termination phase: Saturation
% 11.74/2.51 % (1351522)Time elapsed: 0.135 s
% 11.74/2.51 % (1351522)Peak memory usage: 90 MB
% 11.74/2.51 % (1351522)Instructions burned: 181 (million)
% 11.74/2.51 % (1351532)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2613450115:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 11.74/2.51 % (1351533)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=185866106:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 11.74/2.51 % (1351531)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=4182147339:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 11.74/2.51 % (1351531)Refutation not found, incomplete strategy
% 11.74/2.51 % (1351531)------------------------------
% 11.74/2.51 % (1351531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.35/3.02 % (1351531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.35/3.02 % (1351531)CaDiCaL version: 2.1.3
% 14.35/3.02 % (1351531)Termination reason: Refutation not found, incomplete strategy
% 14.35/3.02 % (1351531)Time elapsed: 0.003 s
% 14.35/3.02 % (1351531)Peak memory usage: 87 MB
% 14.35/3.02 % (1351531)Instructions burned: 3 (million)
% 14.35/3.02 % (1351534)lrs+10_64_to=lpo:sil=8000:random_seed=2164026206:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 14.35/3.02 % (1351532)Instruction limit reached!
% 14.35/3.02 % (1351532)------------------------------
% 14.35/3.02 % (1351532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.35/3.02 % (1351532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.35/3.02 % (1351532)CaDiCaL version: 2.1.3
% 14.35/3.02 % (1351532)Termination reason: Instruction limit
% 14.35/3.02 % (1351532)Termination phase: Saturation
% 14.35/3.02 % (1351532)Time elapsed: 0.102 s
% 14.35/3.02 % (1351532)Peak memory usage: 90 MB
% 14.35/3.02 % (1351532)Instructions burned: 191 (million)
% 14.35/3.02 % (1351533)Instruction limit reached!
% 14.35/3.02 % (1351533)------------------------------
% 14.35/3.02 % (1351533)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.35/3.02 % (1351533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.35/3.02 % (1351533)CaDiCaL version: 2.1.3
% 14.35/3.02 % (1351533)Termination reason: Instruction limit
% 14.35/3.02 % (1351533)Termination phase: Saturation
% 14.35/3.02 % (1351533)Time elapsed: 0.123 s
% 14.35/3.02 % (1351533)Peak memory usage: 88 MB
% 14.35/3.02 % (1351533)Instructions burned: 219 (million)
% 14.35/3.02 % (1351534)Instruction limit reached!
% 14.35/3.02 % (1351534)------------------------------
% 14.35/3.02 % (1351534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.35/3.02 % (1351534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.35/3.02 % (1351534)CaDiCaL version: 2.1.3
% 14.35/3.02 % (1351534)Termination reason: Instruction limit
% 14.35/3.02 % (1351534)Termination phase: Saturation
% 14.35/3.02 % (1351534)Time elapsed: 0.079 s
% 14.35/3.02 % (1351534)Peak memory usage: 89 MB
% 14.35/3.02 % (1351534)Instructions burned: 127 (million)
% 14.35/3.02 % (1351531)------------------------------
% 14.35/3.02 % (1351531)------------------------------
% 14.35/3.02 % (1351539)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3054835010:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 14.35/3.02 % (1351540)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3540293525:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 14.35/3.02 % (1351541)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2634358494:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 14.35/3.02 % (1351539)Instruction limit reached!
% 14.35/3.02 % (1351539)------------------------------
% 14.35/3.02 % (1351539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.35/3.02 % (1351539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.35/3.02 % (1351539)CaDiCaL version: 2.1.3
% 14.35/3.02 % (1351539)Termination reason: Instruction limit
% 14.35/3.02 % (1351539)Termination phase: Saturation
% 14.35/3.02 % (1351539)Time elapsed: 0.115 s
% 14.35/3.02 % (1351539)Peak memory usage: 89 MB
% 14.35/3.02 % (1351539)Instructions burned: 195 (million)
% 14.35/3.02 % (1351540)Instruction limit reached!
% 14.35/3.02 % (1351540)------------------------------
% 14.35/3.02 % (1351540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.35/3.02 % (1351540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.35/3.02 % (1351540)CaDiCaL version: 2.1.3
% 14.35/3.02 % (1351540)Termination reason: Instruction limit
% 14.35/3.02 % (1351540)Termination phase: Saturation
% 14.35/3.02 % (1351540)Time elapsed: 0.106 s
% 14.35/3.02 % (1351540)Peak memory usage: 91 MB
% 14.35/3.02 % (1351540)Instructions burned: 157 (million)
% 14.35/3.02 % (1351542)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=1430446627:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 14.35/3.02 % (1351542)Instruction limit reached!
% 14.35/3.02 % (1351542)------------------------------
% 14.35/3.02 % (1351542)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.35/3.02 % (1351542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.35/3.02 % (1351542)CaDiCaL version: 2.1.3
% 14.35/3.02 % (1351542)Termination reason: Instruction limit
% 14.35/3.02 % (1351542)Termination phase: Saturation
% 14.35/3.02 % (1351542)Time elapsed: 0.069 s
% 14.35/3.02 % (1351542)Peak memory usage: 89 MB
% 14.35/3.02 % (1351542)Instructions burned: 107 (million)
% 14.35/3.02 % (1351546)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1995242836:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 14.35/3.02 % (1351547)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3589075185:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 14.35/3.02 % (1351546)Instruction limit reached!
% 14.35/3.02 % (1351546)------------------------------
% 14.35/3.02 % (1351546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.35/3.02 % (1351546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.35/3.02 % (1351546)CaDiCaL version: 2.1.3
% 14.35/3.02 % (1351546)Termination reason: Instruction limit
% 14.35/3.02 % (1351546)Termination phase: Saturation
% 14.35/3.02 % (1351546)Time elapsed: 0.072 s
% 14.35/3.02 % (1351546)Peak memory usage: 89 MB
% 14.35/3.02 % (1351546)Instructions burned: 108 (million)
% 14.35/3.02 % (1351549)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1893340496:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 14.35/3.02 % (1351547)Instruction limit reached!
% 14.35/3.02 % (1351547)------------------------------
% 14.35/3.02 % (1351547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.35/3.02 % (1351547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.35/3.02 % (1351547)CaDiCaL version: 2.1.3
% 14.35/3.02 % (1351547)Termination reason: Instruction limit
% 14.35/3.02 % (1351547)Termination phase: Saturation
% 14.35/3.02 % (1351547)Time elapsed: 0.162 s
% 14.35/3.02 % (1351547)Peak memory usage: 90 MB
% 14.35/3.02 % (1351547)Instructions burned: 242 (million)
% 14.35/3.02 % (1351552)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=569672362:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 14.35/3.02 % (1351552)Instruction limit reached!
% 14.35/3.02 % (1351552)------------------------------
% 14.35/3.02 % (1351552)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.35/3.02 % (1351552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.35/3.02 % (1351552)CaDiCaL version: 2.1.3
% 14.35/3.02 % (1351552)Termination reason: Instruction limit
% 14.35/3.02 % (1351552)Termination phase: Saturation
% 14.35/3.02 % (1351552)Time elapsed: 0.091 s
% 14.35/3.02 % (1351552)Peak memory usage: 89 MB
% 14.35/3.02 % (1351552)Instructions burned: 134 (million)
% 14.35/3.02 % (1351554)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=739119598:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 14.35/3.02 % (1351556)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1044236715:i=191:fgj=on:bd=all_2987 on theBenchmark for (2987ds/191Mi)
% 14.35/3.02 % (1351556)Instruction limit reached!
% 14.35/3.02 % (1351556)------------------------------
% 14.35/3.02 % (1351556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.35/3.02 % (1351556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.35/3.02 % (1351556)CaDiCaL version: 2.1.3
% 14.35/3.02 % (1351556)Termination reason: Instruction limit
% 14.35/3.02 % (1351556)Termination phase: Saturation
% 14.35/3.02 % (1351556)Time elapsed: 0.110 s
% 14.35/3.02 % (1351556)Peak memory usage: 89 MB
% 14.35/3.02 % (1351556)Instructions burned: 192 (million)
% 14.35/3.02 % (1351554)Instruction limit reached!
% 14.35/3.02 % (1351554)------------------------------
% 14.35/3.02 % (1351554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.35/3.02 % (1351554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.35/3.02 % (1351554)CaDiCaL version: 2.1.3
% 14.35/3.02 % (1351554)Termination reason: Instruction limit
% 14.35/3.02 % (1351554)Termination phase: Saturation
% 14.35/3.02 % (1351554)Time elapsed: 0.277 s
% 14.35/3.02 % (1351554)Peak memory usage: 96 MB
% 14.35/3.02 % (1351554)Instructions burned: 499 (million)
% 14.35/3.02 % (1351559)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2786120425:i=264:kws=precedence:fsr=off_2984 on theBenchmark for (2984ds/264Mi)
% 14.35/3.02 % (1351560)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=1551146158:cond=on:i=156:bs=on:gtg=exists_all:er=known_2984 on theBenchmark for (2984ds/156Mi)
% 14.35/3.02 % (1351560)Instruction limit reached!
% 14.35/3.02 % (1351560)------------------------------
% 14.35/3.02 % (1351560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.35/3.02 % (1351560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.35/3.02 % (1351560)CaDiCaL version: 2.1.3
% 14.35/3.02 % (1351560)Termination reason: Instruction limit
% 14.35/3.02 % (1351560)Termination phase: Saturation
% 14.35/3.02 % (1351560)Time elapsed: 0.097 s
% 14.35/3.02 % (1351560)Peak memory usage: 89 MB
% 14.35/3.02 % (1351560)Instructions burned: 156 (million)
% 14.35/3.02 % (1351559)Instruction limit reached!
% 14.35/3.02 % (1351559)------------------------------
% 14.35/3.02 % (1351559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.35/3.02 % (1351559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.35/3.02 % (1351559)CaDiCaL version: 2.1.3
% 14.35/3.02 % (1351559)Termination reason: Instruction limit
% 14.35/3.02 % (1351559)Termination phase: Saturation
% 14.35/3.02 % (1351559)Time elapsed: 0.159 s
% 14.35/3.02 % (1351559)Peak memory usage: 91 MB
% 14.35/3.02 % (1351559)Instructions burned: 265 (million)
% 14.35/3.02 % (1351519)First to succeed.
% 14.35/3.02 % (1351519)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1351512"
% 14.35/3.02 % (1351563)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=2634779893:i=3256:kws=precedence:bd=preordered:av=off_2982 on theBenchmark for (2982ds/3256Mi)
% 14.35/3.02 % (1351564)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=1656099494:i=537:av=off:ss=included_2981 on theBenchmark for (2981ds/537Mi)
% 14.35/3.02 % (1351519)Refutation found. Thanks to Tanya!
% 14.35/3.02 % SZS status Unsatisfiable for theBenchmark
% 14.35/3.02 % SZS output start Proof for theBenchmark
% See solution above
% 15.89/3.21 % (1351519)------------------------------
% 15.89/3.21 % (1351519)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.89/3.21 % (1351519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.89/3.21 % (1351519)CaDiCaL version: 2.1.3
% 15.89/3.21 % (1351519)Termination reason: Refutation
% 15.89/3.21 % (1351519)Time elapsed: 1.688 s
% 15.89/3.21 % (1351519)Peak memory usage: 138 MB
% 15.89/3.21 % (1351519)Instructions burned: 2621 (million)
% 15.89/3.21 % (1351519)------------------------------
% 15.89/3.21 % (1351519)------------------------------
% 15.89/3.21 % (1351512)Success in time 2.16 s
% 15.89/3.21 % Vampire exiting
%------------------------------------------------------------------------------