%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET314-6 : 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 : n026.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 12:40:45 PM UTC 2026
% Result : Unsatisfiable 25.15s 4.94s
% Output : Refutation 28.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 33
% Syntax : Number of formulae : 142 ( 36 unt; 9 def)
% Number of atoms : 393 ( 42 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 482 ( 231 ~; 251 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 14 con; 0-3 aty)
% Number of variables : 251 ( 251 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
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(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
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(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(f122,negated_conjecture,
restrict(xr,x,intersection(y,range_of(xr))) != restrict(xr,x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_range_property3_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(f148,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(cross_product(universal_class,universal_class),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(definition_unfolding,[],[f38,f127,f127,f127,f127,f127,f127]) ).
fof(f185,plain,
intersection(xr,cross_product(x,intersection(y,domain_of(domain_of(flip(cross_product(xr,universal_class))))))) != intersection(xr,cross_product(x,y)),
inference(definition_unfolding,[],[f122,f28,f124,f28]) ).
fof(f190,definition,
sF0 = cross_product(xr,universal_class),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f191,plain,
cross_product(xr,universal_class) = sF0,
inference(reorient_equations,[],[f190]) ).
fof(f192,definition,
sF1 = flip(sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f193,plain,
flip(sF0) = sF1,
inference(reorient_equations,[],[f192]) ).
fof(f194,definition,
sF2 = domain_of(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f195,plain,
domain_of(sF1) = sF2,
inference(reorient_equations,[],[f194]) ).
fof(f196,definition,
sF3 = domain_of(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f197,plain,
domain_of(sF2) = sF3,
inference(reorient_equations,[],[f196]) ).
fof(f198,definition,
sF4 = intersection(y,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f199,plain,
intersection(y,sF3) = sF4,
inference(reorient_equations,[],[f198]) ).
fof(f200,definition,
sF5 = cross_product(x,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f201,plain,
cross_product(x,sF4) = sF5,
inference(reorient_equations,[],[f200]) ).
fof(f202,definition,
sF6 = intersection(xr,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f203,plain,
intersection(xr,sF5) = sF6,
inference(reorient_equations,[],[f202]) ).
fof(f204,definition,
sF7 = cross_product(x,y),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f205,plain,
cross_product(x,y) = sF7,
inference(reorient_equations,[],[f204]) ).
fof(f206,definition,
sF8 = intersection(xr,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f207,plain,
intersection(xr,sF7) = sF8,
inference(reorient_equations,[],[f206]) ).
fof(f208,plain,
sF6 != sF8,
inference(definition_folding,[],[f185,f207,f205,f203,f201,f199,f197,f195,f193,f191]) ).
fof(f216,plain,
! [X2,X3,X0,X1] :
( ~ subclass(intersection(X2,X1),X3)
| ~ member(X0,X2)
| ~ member(X0,X1)
| member(X0,X3) ),
inference(resolution,[],[f23,f1]) ).
fof(f221,plain,
! [X0] :
( ~ member(X0,sF5)
| member(X0,sF6)
| ~ member(X0,xr) ),
inference(superposition,[],[f23,f203]) ).
fof(f222,plain,
! [X0] :
( ~ member(X0,sF7)
| member(X0,sF8)
| ~ member(X0,xr) ),
inference(superposition,[],[f23,f207]) ).
fof(f223,plain,
! [X0] :
( ~ member(X0,sF3)
| member(X0,sF4)
| ~ member(X0,y) ),
inference(superposition,[],[f23,f199]) ).
fof(f235,plain,
! [X0] :
( ~ member(X0,sF6)
| member(X0,xr) ),
inference(superposition,[],[f21,f203]) ).
fof(f236,plain,
! [X0] :
( ~ member(X0,sF8)
| member(X0,xr) ),
inference(superposition,[],[f21,f207]) ).
fof(f237,plain,
! [X0] :
( ~ member(X0,sF4)
| member(X0,y) ),
inference(superposition,[],[f21,f199]) ).
fof(f241,plain,
! [X0] :
( member(not_subclass_element(sF8,X0),xr)
| subclass(sF8,X0) ),
inference(resolution,[],[f236,f2]) ).
fof(f245,plain,
! [X0] :
( member(not_subclass_element(sF6,X0),xr)
| subclass(sF6,X0) ),
inference(resolution,[],[f235,f2]) ).
fof(f257,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| member(X1,universal_class) ),
inference(superposition,[],[f137,f191]) ).
fof(f267,plain,
! [X0] :
( ~ member(X0,sF6)
| member(X0,sF5) ),
inference(superposition,[],[f22,f203]) ).
fof(f268,plain,
! [X0] :
( ~ member(X0,sF8)
| member(X0,sF7) ),
inference(superposition,[],[f22,f207]) ).
fof(f274,plain,
! [X0] :
( member(not_subclass_element(sF6,X0),sF5)
| subclass(sF6,X0) ),
inference(resolution,[],[f267,f2]) ).
fof(f275,plain,
! [X0] :
( member(not_subclass_element(sF8,X0),sF7)
| subclass(sF8,X0) ),
inference(resolution,[],[f268,f2]) ).
fof(f287,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| ~ member(X1,universal_class)
| ~ member(X0,xr) ),
inference(superposition,[],[f138,f191]) ).
fof(f289,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF5)
| ~ member(X1,sF4)
| ~ member(X0,x) ),
inference(superposition,[],[f138,f201]) ).
fof(f290,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,cross_product(X3,X4))
| ~ member(second(X0),X2)
| ~ member(first(X0),X1)
| member(X0,cross_product(X1,X2)) ),
inference(superposition,[],[f138,f139]) ).
fof(f291,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,cross_product(X1,X2))
| member(second(X0),X2)
| ~ member(X0,cross_product(X3,X4)) ),
inference(superposition,[],[f137,f139]) ).
fof(f292,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,cross_product(X1,X2))
| member(first(X0),X1)
| ~ member(X0,cross_product(X3,X4)) ),
inference(superposition,[],[f136,f139]) ).
fof(f293,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(first(X0),X1) ),
inference(condensation,[],[f292]) ).
fof(f294,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(second(X0),X2) ),
inference(condensation,[],[f291]) ).
fof(f297,plain,
! [X2,X0,X1] :
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,universal_class) ),
inference(resolution,[],[f216,f4]) ).
fof(f309,plain,
! [X2,X0] :
( ~ member(X0,X2)
| member(X0,universal_class) ),
inference(condensation,[],[f297]) ).
fof(f321,plain,
! [X0] :
( member(first(X0),x)
| ~ member(X0,sF7) ),
inference(superposition,[],[f293,f205]) ).
fof(f322,plain,
! [X0] :
( member(first(X0),x)
| ~ member(X0,sF5) ),
inference(superposition,[],[f293,f201]) ).
fof(f327,plain,
! [X0] :
( member(first(X0),universal_class)
| ~ member(X0,sF7) ),
inference(resolution,[],[f321,f309]) ).
fof(f333,plain,
! [X2,X0,X1] :
( member(X0,cross_product(X2,X1))
| ~ member(second(X0),X1)
| ~ member(first(X0),X2)
| ~ member(X0,sF5) ),
inference(superposition,[],[f290,f201]) ).
fof(f343,plain,
! [X0] :
( member(second(X0),y)
| ~ member(X0,sF7) ),
inference(superposition,[],[f294,f205]) ).
fof(f344,plain,
! [X0] :
( member(second(X0),sF4)
| ~ member(X0,sF5) ),
inference(superposition,[],[f294,f201]) ).
fof(f346,plain,
! [X0] :
( member(second(X0),y)
| ~ member(X0,sF5) ),
inference(resolution,[],[f344,f237]) ).
fof(f349,plain,
! [X0] :
( member(second(X0),universal_class)
| ~ member(X0,sF7) ),
inference(resolution,[],[f343,f309]) ).
fof(f361,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(f371,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),xr)
| ~ member(X1,x)
| member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF6)
| ~ member(X0,sF4) ),
inference(resolution,[],[f289,f221]) ).
fof(f382,plain,
! [X2,X0,X1] :
( member(unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))),sF6)
| ~ member(first(X0),x)
| ~ member(X0,xr)
| ~ member(second(X0),sF4)
| ~ member(X0,cross_product(X1,X2)) ),
inference(superposition,[],[f371,f139]) ).
fof(f439,plain,
! [X0] :
( member(regular(X0),universal_class)
| null_class = X0 ),
inference(resolution,[],[f68,f309]) ).
fof(f446,plain,
! [X0] :
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(resolution,[],[f68,f24]) ).
fof(f476,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))),cross_product(universal_class,universal_class)) ),
inference(resolution,[],[f148,f138]) ).
fof(f485,plain,
! [X2,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))),sF1)
| ~ 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))),sF0)
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class)) ),
inference(superposition,[],[f476,f193]) ).
fof(f487,plain,
! [X2,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))),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(X2,X2))),sF1)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class)) ),
inference(forward_subsumption_resolution,[],[f485,f257]) ).
fof(f490,plain,
! [X2,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))),sF1)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),xr) ),
inference(resolution,[],[f487,f287]) ).
fof(f541,plain,
! [X0] :
( member(X0,sF7)
| ~ member(second(X0),y)
| ~ member(first(X0),x)
| ~ member(X0,sF5) ),
inference(superposition,[],[f333,f205]) ).
fof(f545,plain,
! [X0] :
( member(X0,sF7)
| ~ member(first(X0),x)
| ~ member(X0,sF5) ),
inference(forward_subsumption_resolution,[],[f541,f346]) ).
fof(f548,plain,
! [X0] :
( ~ member(X0,sF5)
| member(X0,sF7) ),
inference(forward_subsumption_resolution,[],[f545,f322]) ).
fof(f549,plain,
! [X0] :
( member(not_subclass_element(sF6,X0),sF7)
| subclass(sF6,X0) ),
inference(resolution,[],[f548,f274]) ).
fof(f555,plain,
! [X0] :
( subclass(sF6,X0)
| member(not_subclass_element(sF6,X0),sF8)
| ~ member(not_subclass_element(sF6,X0),xr) ),
inference(resolution,[],[f549,f222]) ).
fof(f560,plain,
! [X0] :
( member(not_subclass_element(sF6,X0),sF8)
| subclass(sF6,X0) ),
inference(forward_subsumption_resolution,[],[f555,f245]) ).
fof(f563,plain,
( subclass(sF6,sF8)
| subclass(sF6,sF8) ),
inference(resolution,[],[f560,f3]) ).
fof(f566,plain,
subclass(sF6,sF8),
inference(duplicate_literal_removal,[],[f563]) ).
fof(f567,plain,
( ~ subclass(sF8,sF6)
| sF6 = sF8 ),
inference(resolution,[],[f566,f7]) ).
fof(f568,plain,
~ subclass(sF8,sF6),
inference(forward_subsumption_resolution,[],[f567,f208]) ).
fof(f587,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),X2)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),null_class)
| ~ member(X3,universal_class)
| member(X3,domain_of(X2))
| ~ member(X1,universal_class)
| ~ member(X0,unordered_pair(X3,X3)) ),
inference(resolution,[],[f361,f138]) ).
fof(f740,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))),null_class)
| ~ member(X3,universal_class)
| member(X3,domain_of(sF1))
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X3,X3))
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),xr) ),
inference(resolution,[],[f587,f490]) ).
fof(f748,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))),null_class)
| ~ member(X3,universal_class)
| member(X3,domain_of(sF1))
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X3,X3))
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),xr) ),
inference(duplicate_literal_removal,[],[f740]) ).
fof(f753,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))),null_class)
| member(X3,sF2)
| ~ member(X3,universal_class)
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X3,X3))
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),xr) ),
inference(forward_demodulation,[],[f748,f195]) ).
fof(f904,plain,
! [X2,X3,X0,X1,X4] :
( member(X0,sF6)
| ~ member(first(X0),x)
| ~ member(X0,xr)
| ~ member(second(X0),sF4)
| ~ member(X0,cross_product(X1,X2))
| ~ member(X0,cross_product(X3,X4)) ),
inference(superposition,[],[f382,f139]) ).
fof(f905,plain,
! [X3,X0,X4] :
( ~ member(X0,cross_product(X3,X4))
| ~ member(first(X0),x)
| ~ member(X0,xr)
| ~ member(second(X0),sF4)
| member(X0,sF6) ),
inference(condensation,[],[f904]) ).
fof(f918,plain,
! [X0] :
( ~ member(X0,sF7)
| ~ member(first(X0),x)
| ~ member(X0,xr)
| ~ member(second(X0),sF4)
| member(X0,sF6) ),
inference(superposition,[],[f905,f205]) ).
fof(f928,plain,
! [X0] :
( ~ member(second(X0),sF4)
| ~ member(X0,xr)
| ~ member(X0,sF7)
| member(X0,sF6) ),
inference(forward_subsumption_resolution,[],[f918,f321]) ).
fof(f1301,plain,
( null_class = complement(universal_class)
| null_class = complement(universal_class) ),
inference(resolution,[],[f439,f446]) ).
fof(f1304,plain,
null_class = complement(universal_class),
inference(duplicate_literal_removal,[],[f1301]) ).
fof(f1306,plain,
! [X0] :
( ~ member(X0,null_class)
| ~ member(X0,universal_class) ),
inference(superposition,[],[f24,f1304]) ).
fof(f1307,plain,
! [X0] : ~ member(X0,null_class),
inference(forward_subsumption_resolution,[],[f1306,f309]) ).
fof(f1315,plain,
! [X2,X3,X0,X1] :
( member(X0,sF2)
| ~ member(X0,universal_class)
| ~ member(X1,universal_class)
| ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),unordered_pair(X0,X0))
| ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),cross_product(universal_class,universal_class))
| ~ member(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2))),xr) ),
inference(resolution,[],[f1307,f753]) ).
fof(f1318,plain,
! [X2,X3,X0] :
( ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),cross_product(universal_class,universal_class))
| ~ member(X0,universal_class)
| ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),unordered_pair(X0,X0))
| member(X0,sF2)
| ~ member(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2))),xr) ),
inference(condensation,[],[f1315]) ).
fof(f1320,plain,
! [X2,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X0,X0))
| ~ member(X0,universal_class)
| member(X0,sF2)
| ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),xr)
| ~ member(X2,universal_class)
| ~ member(X1,universal_class) ),
inference(resolution,[],[f1318,f138]) ).
fof(f3292,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),universal_class)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF2)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),xr)
| ~ member(X1,universal_class)
| ~ member(X0,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),universal_class) ),
inference(resolution,[],[f1320,f10]) ).
fof(f3294,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),universal_class)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF2)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),xr)
| ~ member(X1,universal_class)
| ~ member(X0,universal_class) ),
inference(duplicate_literal_removal,[],[f3292]) ).
fof(f3296,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),xr)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF2)
| ~ member(X1,universal_class)
| ~ member(X0,universal_class) ),
inference(forward_subsumption_resolution,[],[f3294,f11]) ).
fof(f3304,plain,
! [X2,X0,X1] :
( member(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),sF2)
| ~ member(X0,xr)
| ~ member(first(X0),universal_class)
| ~ member(second(X0),universal_class)
| ~ member(X0,cross_product(X1,X2)) ),
inference(superposition,[],[f3296,f139]) ).
fof(f3312,plain,
! [X2,X3,X0,X1] :
( ~ member(X0,xr)
| ~ member(first(X0),universal_class)
| ~ member(second(X0),universal_class)
| ~ member(X0,cross_product(X1,X2))
| member(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),null_class)
| ~ member(X3,universal_class)
| member(X3,domain_of(sF2))
| ~ member(first(X0),universal_class)
| ~ member(second(X0),unordered_pair(X3,X3)) ),
inference(resolution,[],[f3304,f587]) ).
fof(f3313,plain,
! [X2,X3,X0,X1] :
( ~ member(X0,xr)
| ~ member(first(X0),universal_class)
| ~ member(second(X0),universal_class)
| ~ member(X0,cross_product(X1,X2))
| member(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),null_class)
| ~ member(X3,universal_class)
| member(X3,domain_of(sF2))
| ~ member(second(X0),unordered_pair(X3,X3)) ),
inference(duplicate_literal_removal,[],[f3312]) ).
fof(f3314,plain,
! [X2,X3,X0,X1] :
( ~ member(X0,xr)
| ~ member(first(X0),universal_class)
| ~ member(X0,cross_product(X1,X2))
| member(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),null_class)
| ~ member(X3,universal_class)
| member(X3,domain_of(sF2))
| ~ member(second(X0),unordered_pair(X3,X3)) ),
inference(forward_subsumption_resolution,[],[f3313,f309]) ).
fof(f3316,plain,
! [X2,X3,X0,X1] :
( ~ member(X0,xr)
| ~ member(first(X0),universal_class)
| ~ member(X0,cross_product(X1,X2))
| ~ member(X3,universal_class)
| member(X3,domain_of(sF2))
| ~ member(second(X0),unordered_pair(X3,X3)) ),
inference(forward_subsumption_resolution,[],[f3314,f1307]) ).
fof(f3318,plain,
! [X2,X3,X0,X1] :
( ~ member(second(X0),unordered_pair(X3,X3))
| ~ member(X0,xr)
| ~ member(first(X0),universal_class)
| ~ member(X0,cross_product(X1,X2))
| ~ member(X3,universal_class)
| member(X3,sF3) ),
inference(forward_demodulation,[],[f3316,f197]) ).
fof(f3321,plain,
! [X2,X0,X1] :
( ~ member(X0,xr)
| ~ member(first(X0),universal_class)
| ~ member(X0,cross_product(X1,X2))
| ~ member(second(X0),universal_class)
| member(second(X0),sF3)
| ~ member(second(X0),universal_class) ),
inference(resolution,[],[f3318,f10]) ).
fof(f3322,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| ~ member(first(X0),universal_class)
| ~ member(X0,xr)
| ~ member(second(X0),universal_class)
| member(second(X0),sF3) ),
inference(duplicate_literal_removal,[],[f3321]) ).
fof(f3354,plain,
! [X0] :
( ~ member(X0,sF7)
| ~ member(first(X0),universal_class)
| ~ member(X0,xr)
| ~ member(second(X0),universal_class)
| member(second(X0),sF3) ),
inference(superposition,[],[f3322,f205]) ).
fof(f3365,plain,
! [X0] :
( ~ member(X0,sF7)
| ~ member(X0,xr)
| ~ member(second(X0),universal_class)
| member(second(X0),sF3) ),
inference(forward_subsumption_resolution,[],[f3354,f327]) ).
fof(f3375,plain,
! [X0] :
( member(second(X0),sF3)
| ~ member(X0,xr)
| ~ member(X0,sF7) ),
inference(forward_subsumption_resolution,[],[f3365,f349]) ).
fof(f3390,plain,
! [X0] :
( ~ member(X0,xr)
| ~ member(X0,sF7)
| member(second(X0),sF4)
| ~ member(second(X0),y) ),
inference(resolution,[],[f3375,f223]) ).
fof(f3394,plain,
! [X0] :
( member(second(X0),sF4)
| ~ member(X0,sF7)
| ~ member(X0,xr) ),
inference(forward_subsumption_resolution,[],[f3390,f343]) ).
fof(f3401,plain,
! [X0] :
( ~ member(X0,sF7)
| ~ member(X0,xr)
| ~ member(X0,xr)
| ~ member(X0,sF7)
| member(X0,sF6) ),
inference(resolution,[],[f3394,f928]) ).
fof(f3407,plain,
! [X0] :
( ~ member(X0,sF7)
| ~ member(X0,xr)
| member(X0,sF6) ),
inference(duplicate_literal_removal,[],[f3401]) ).
fof(f3417,plain,
! [X0] :
( ~ member(not_subclass_element(sF8,X0),xr)
| member(not_subclass_element(sF8,X0),sF6)
| subclass(sF8,X0) ),
inference(resolution,[],[f3407,f275]) ).
fof(f3443,plain,
! [X0] :
( member(not_subclass_element(sF8,X0),sF6)
| subclass(sF8,X0) ),
inference(forward_subsumption_resolution,[],[f3417,f241]) ).
fof(f3446,plain,
( subclass(sF8,sF6)
| subclass(sF8,sF6) ),
inference(resolution,[],[f3443,f3]) ).
fof(f3453,plain,
subclass(sF8,sF6),
inference(duplicate_literal_removal,[],[f3446]) ).
fof(f3454,plain,
$false,
inference(forward_subsumption_resolution,[],[f3453,f568]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET314-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.42 % Computer : n026.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Mon Sep 28 01:26:57 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.43 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 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
% 14.99/3.07 % (3386350)Input is clausal, will run a generic CNF schedule.
% 14.99/3.07 % (3386359)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2501712953:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 14.99/3.07 % (3386358)lrs+10_1_sil=8000:sp=occurrence:random_seed=1725784888:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 14.99/3.07 % (3386356)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2181471155:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 14.99/3.07 % (3386355)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=3627352940:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 14.99/3.07 % (3386357)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2538448089:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 14.99/3.07 % (3386359)Instruction limit reached!
% 14.99/3.07 % (3386359)------------------------------
% 14.99/3.07 % (3386359)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.99/3.07 % (3386359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.99/3.07 % (3386359)CaDiCaL version: 2.1.3
% 14.99/3.07 % (3386359)Termination reason: Instruction limit
% 14.99/3.07 % (3386359)Termination phase: Saturation
% 14.99/3.07 % (3386359)Time elapsed: 0.059 s
% 14.99/3.07 % (3386359)Peak memory usage: 89 MB
% 14.99/3.07 % (3386359)Instructions burned: 114 (million)
% 14.99/3.07 % (3386361)dis-21_1_sil=8000:lcm=predicate:random_seed=3508916207: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)
% 14.99/3.07 % (3386360)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3066210374:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 14.99/3.07 % (3386358)Refutation not found, incomplete strategy
% 14.99/3.07 % (3386358)------------------------------
% 14.99/3.07 % (3386358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.99/3.07 % (3386358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.99/3.07 % (3386358)CaDiCaL version: 2.1.3
% 14.99/3.07 % (3386358)Termination reason: Refutation not found, incomplete strategy
% 14.99/3.07 % (3386358)Time elapsed: 0.030 s
% 14.99/3.07 % (3386358)Peak memory usage: 88 MB
% 14.99/3.07 % (3386358)Instructions burned: 29 (million)
% 14.99/3.07 % (3386361)Instruction limit reached!
% 14.99/3.07 % (3386361)------------------------------
% 14.99/3.07 % (3386361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.99/3.07 % (3386361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.99/3.07 % (3386361)CaDiCaL version: 2.1.3
% 14.99/3.07 % (3386361)Termination reason: Instruction limit
% 14.99/3.07 % (3386361)Termination phase: Saturation
% 14.99/3.07 % (3386361)Time elapsed: 0.106 s
% 14.99/3.07 % (3386361)Peak memory usage: 89 MB
% 14.99/3.07 % (3386361)Instructions burned: 117 (million)
% 14.99/3.07 % (3386367)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=559855688:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 14.99/3.07 % (3386367)Refutation not found, incomplete strategy
% 14.99/3.07 % (3386367)------------------------------
% 14.99/3.07 % (3386367)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.99/3.07 % (3386367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.99/3.07 % (3386367)CaDiCaL version: 2.1.3
% 14.99/3.07 % (3386367)Termination reason: Refutation not found, incomplete strategy
% 14.99/3.07 % (3386367)Time elapsed: 0.003 s
% 14.99/3.07 % (3386367)Peak memory usage: 88 MB
% 14.99/3.07 % (3386367)Instructions burned: 4 (million)
% 14.99/3.07 % (3386360)Instruction limit reached!
% 14.99/3.07 % (3386360)------------------------------
% 14.99/3.07 % (3386360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.99/3.07 % (3386360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.99/3.07 % (3386360)CaDiCaL version: 2.1.3
% 14.99/3.07 % (3386360)Termination reason: Instruction limit
% 14.99/3.07 % (3386360)Termination phase: Saturation
% 14.99/3.07 % (3386360)Time elapsed: 0.204 s
% 14.99/3.07 % (3386360)Peak memory usage: 90 MB
% 14.99/3.07 % (3386360)Instructions burned: 180 (million)
% 14.99/3.07 % (3386370)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2510047156:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 25.15/4.94 % (3386370)Refutation not found, incomplete strategy
% 25.15/4.94 % (3386370)------------------------------
% 25.15/4.94 % (3386370)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.15/4.94 % (3386370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.15/4.94 % (3386370)CaDiCaL version: 2.1.3
% 25.15/4.94 % (3386370)Termination reason: Refutation not found, incomplete strategy
% 25.15/4.94 % (3386370)Time elapsed: 0.018 s
% 25.15/4.94 % (3386370)Peak memory usage: 88 MB
% 25.15/4.94 % (3386370)Instructions burned: 19 (million)
% 25.15/4.94 % (3386372)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1191659572:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 25.15/4.94 % (3386372)Refutation not found, incomplete strategy
% 25.15/4.94 % (3386372)------------------------------
% 25.15/4.94 % (3386372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.15/4.94 % (3386372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.15/4.94 % (3386372)CaDiCaL version: 2.1.3
% 25.15/4.94 % (3386372)Termination reason: Refutation not found, incomplete strategy
% 25.15/4.94 % (3386372)Time elapsed: 0.003 s
% 25.15/4.94 % (3386372)Peak memory usage: 88 MB
% 25.15/4.94 % (3386372)Instructions burned: 3 (million)
% 25.15/4.94 % (3386367)------------------------------
% 25.15/4.94 % (3386367)------------------------------
% 25.15/4.94 % (3386358)------------------------------
% 25.15/4.94 % (3386358)------------------------------
% 25.15/4.94 % (3386372)------------------------------
% 25.15/4.94 % (3386372)------------------------------
% 25.15/4.94 % (3386375)lrs+10_64_to=lpo:sil=8000:random_seed=3393274712:i=126:bd=preordered_2993 on theBenchmark for (2993ds/126Mi)
% 25.15/4.94 % (3386376)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2157884488:avsq=on:i=194:fgj=on:bd=preordered_2993 on theBenchmark for (2993ds/194Mi)
% 25.15/4.94 % (3386370)------------------------------
% 25.15/4.94 % (3386370)------------------------------
% 25.15/4.94 % (3386375)Instruction limit reached!
% 25.15/4.94 % (3386375)------------------------------
% 25.15/4.94 % (3386375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.15/4.94 % (3386375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.15/4.94 % (3386375)CaDiCaL version: 2.1.3
% 25.15/4.94 % (3386375)Termination reason: Instruction limit
% 25.15/4.94 % (3386375)Termination phase: Saturation
% 25.15/4.94 % (3386375)Time elapsed: 0.128 s
% 25.15/4.94 % (3386375)Peak memory usage: 89 MB
% 25.15/4.94 % (3386375)Instructions burned: 126 (million)
% 25.15/4.94 % (3386378)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3491801780:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 25.15/4.94 % (3386376)Instruction limit reached!
% 25.15/4.94 % (3386376)------------------------------
% 25.15/4.94 % (3386376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.15/4.94 % (3386376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.15/4.94 % (3386376)CaDiCaL version: 2.1.3
% 25.15/4.94 % (3386376)Termination reason: Instruction limit
% 25.15/4.94 % (3386376)Termination phase: Saturation
% 25.15/4.94 % (3386376)Time elapsed: 0.197 s
% 25.15/4.94 % (3386376)Peak memory usage: 90 MB
% 25.15/4.94 % (3386376)Instructions burned: 194 (million)
% 25.15/4.94 % (3386378)Instruction limit reached!
% 25.15/4.94 % (3386378)------------------------------
% 25.15/4.94 % (3386378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.15/4.94 % (3386378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.15/4.94 % (3386378)CaDiCaL version: 2.1.3
% 25.15/4.94 % (3386378)Termination reason: Instruction limit
% 25.15/4.94 % (3386378)Termination phase: Saturation
% 25.15/4.94 % (3386378)Time elapsed: 0.089 s
% 25.15/4.94 % (3386378)Peak memory usage: 91 MB
% 25.15/4.94 % (3386378)Instructions burned: 159 (million)
% 25.15/4.94 % (3386380)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1969101587:i=3394:sd=4:ss=included:sgt=64_2990 on theBenchmark for (2990ds/3394Mi)
% 25.15/4.94 % (3386381)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=743873560:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2990 on theBenchmark for (2990ds/106Mi)
% 25.15/4.94 % (3386384)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=792329861:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2989 on theBenchmark for (2989ds/242Mi)
% 25.15/4.94 % (3386383)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3749808010:i=107_2989 on theBenchmark for (2989ds/107Mi)
% 25.15/4.94 % (3386383)Refutation not found, incomplete strategy
% 25.15/4.94 % (3386383)------------------------------
% 25.15/4.94 % (3386383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.15/4.94 % (3386383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.15/4.94 % (3386383)CaDiCaL version: 2.1.3
% 25.15/4.94 % (3386383)Termination reason: Refutation not found, incomplete strategy
% 25.15/4.94 % (3386383)Time elapsed: 0.009 s
% 25.15/4.94 % (3386383)Peak memory usage: 88 MB
% 25.15/4.94 % (3386383)Instructions burned: 8 (million)
% 25.15/4.94 % (3386381)Instruction limit reached!
% 25.15/4.94 % (3386381)------------------------------
% 25.15/4.94 % (3386381)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.15/4.94 % (3386381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.15/4.94 % (3386381)CaDiCaL version: 2.1.3
% 25.15/4.94 % (3386381)Termination reason: Instruction limit
% 25.15/4.94 % (3386381)Termination phase: Saturation
% 25.15/4.94 % (3386381)Time elapsed: 0.087 s
% 25.15/4.94 % (3386381)Peak memory usage: 89 MB
% 25.15/4.94 % (3386381)Instructions burned: 106 (million)
% 25.15/4.94 % (3386384)Instruction limit reached!
% 25.15/4.94 % (3386384)------------------------------
% 25.15/4.94 % (3386384)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.15/4.94 % (3386384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.15/4.94 % (3386384)CaDiCaL version: 2.1.3
% 25.15/4.94 % (3386384)Termination reason: Instruction limit
% 25.15/4.94 % (3386384)Termination phase: Saturation
% 25.15/4.94 % (3386384)Time elapsed: 0.138 s
% 25.15/4.94 % (3386384)Peak memory usage: 90 MB
% 25.15/4.94 % (3386384)Instructions burned: 243 (million)
% 25.15/4.94 % (3386389)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2606629438:cond=fast:i=5208:av=off_2987 on theBenchmark for (2987ds/5208Mi)
% 25.15/4.94 % (3386390)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2674183139:i=134:sd=2:doe=on:ss=axioms:sgt=14_2986 on theBenchmark for (2986ds/134Mi)
% 25.15/4.94 % (3386390)Instruction limit reached!
% 25.15/4.94 % (3386390)------------------------------
% 25.15/4.94 % (3386390)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.15/4.94 % (3386390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.15/4.94 % (3386390)CaDiCaL version: 2.1.3
% 25.15/4.94 % (3386390)Termination reason: Instruction limit
% 25.15/4.94 % (3386390)Termination phase: Saturation
% 25.15/4.94 % (3386390)Time elapsed: 0.084 s
% 25.15/4.94 % (3386390)Peak memory usage: 90 MB
% 25.15/4.94 % (3386390)Instructions burned: 134 (million)
% 25.15/4.94 % (3386383)------------------------------
% 25.15/4.94 % (3386383)------------------------------
% 25.15/4.94 % (3386393)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3999819818:i=499:bd=all_2983 on theBenchmark for (2983ds/499Mi)
% 25.15/4.94 % (3386394)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=554791779:i=191:fgj=on:bd=all_2983 on theBenchmark for (2983ds/191Mi)
% 25.15/4.94 % (3386393)Instruction limit reached!
% 25.15/4.94 % (3386393)------------------------------
% 25.15/4.94 % (3386393)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.15/4.94 % (3386393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.15/4.94 % (3386393)CaDiCaL version: 2.1.3
% 25.15/4.94 % (3386393)Termination reason: Instruction limit
% 25.15/4.94 % (3386393)Termination phase: Saturation
% 25.15/4.94 % (3386393)Time elapsed: 0.269 s
% 25.15/4.94 % (3386393)Peak memory usage: 93 MB
% 25.15/4.94 % (3386393)Instructions burned: 501 (million)
% 25.15/4.94 % (3386394)Instruction limit reached!
% 25.15/4.94 % (3386394)------------------------------
% 25.15/4.94 % (3386394)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.15/4.94 % (3386394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.15/4.94 % (3386394)CaDiCaL version: 2.1.3
% 25.15/4.94 % (3386394)Termination reason: Instruction limit
% 25.15/4.94 % (3386394)Termination phase: Saturation
% 25.15/4.94 % (3386394)Time elapsed: 0.192 s
% 25.15/4.94 % (3386394)Peak memory usage: 89 MB
% 25.15/4.94 % (3386394)Instructions burned: 191 (million)
% 25.15/4.94 % (3386398)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1885974000:i=264:kws=precedence:fsr=off_2979 on theBenchmark for (2979ds/264Mi)
% 25.15/4.94 % (3386399)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=1011184126:cond=on:i=156:bs=on:gtg=exists_all:er=known_2979 on theBenchmark for (2979ds/156Mi)
% 25.15/4.94 % (3386398)Instruction limit reached!
% 25.15/4.94 % (3386398)------------------------------
% 25.15/4.94 % (3386398)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.15/4.94 % (3386398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.15/4.94 % (3386398)CaDiCaL version: 2.1.3
% 25.15/4.94 % (3386398)Termination reason: Instruction limit
% 25.15/4.94 % (3386398)Termination phase: Saturation
% 25.15/4.94 % (3386398)Time elapsed: 0.156 s
% 25.15/4.94 % (3386398)Peak memory usage: 92 MB
% 25.15/4.94 % (3386398)Instructions burned: 266 (million)
% 25.15/4.94 % (3386399)Instruction limit reached!
% 25.15/4.94 % (3386399)------------------------------
% 25.15/4.94 % (3386399)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.15/4.94 % (3386399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.15/4.94 % (3386399)CaDiCaL version: 2.1.3
% 25.15/4.94 % (3386399)Termination reason: Instruction limit
% 25.15/4.94 % (3386399)Termination phase: Saturation
% 25.15/4.94 % (3386399)Time elapsed: 0.167 s
% 25.15/4.94 % (3386399)Peak memory usage: 90 MB
% 25.15/4.94 % (3386399)Instructions burned: 156 (million)
% 25.15/4.94 % (3386402)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=1854940956:i=3256:kws=precedence:bd=preordered:av=off_2976 on theBenchmark for (2976ds/3256Mi)
% 25.15/4.94 % (3386403)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=520724662:i=537:av=off:ss=included_2975 on theBenchmark for (2975ds/537Mi)
% 25.15/4.94 % (3386403)Instruction limit reached!
% 25.15/4.94 % (3386403)------------------------------
% 25.15/4.94 % (3386403)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.15/4.94 % (3386403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.15/4.94 % (3386403)CaDiCaL version: 2.1.3
% 25.15/4.94 % (3386403)Termination reason: Instruction limit
% 25.15/4.94 % (3386403)Termination phase: Saturation
% 25.15/4.94 % (3386403)Time elapsed: 0.454 s
% 25.15/4.94 % (3386403)Peak memory usage: 89 MB
% 25.15/4.94 % (3386403)Instructions burned: 538 (million)
% 25.15/4.94 % (3386406)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=2283518643:i=180:bd=preordered:av=off_2968 on theBenchmark for (2968ds/180Mi)
% 25.15/4.94 % (3386389)First to succeed.
% 25.15/4.94 % (3386389)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3386350"
% 25.15/4.94 % (3386406)Instruction limit reached!
% 25.15/4.94 % (3386406)------------------------------
% 25.15/4.94 % (3386406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.15/4.94 % (3386406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.15/4.94 % (3386406)CaDiCaL version: 2.1.3
% 25.15/4.94 % (3386406)Termination reason: Instruction limit
% 25.15/4.94 % (3386406)Termination phase: Saturation
% 25.15/4.94 % (3386406)Time elapsed: 0.171 s
% 25.15/4.94 % (3386406)Peak memory usage: 90 MB
% 25.15/4.94 % (3386406)Instructions burned: 180 (million)
% 25.15/4.94 % (3386408)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=1351564240:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2964 on theBenchmark for (2964ds/10307Mi)
% 25.15/4.94 % (3386389)Refutation found. Thanks to Tanya!
% 25.15/4.94 % SZS status Unsatisfiable for theBenchmark
% 25.15/4.94 % SZS output start Proof for theBenchmark
% See solution above
% 28.66/5.23 % (3386389)------------------------------
% 28.66/5.23 % (3386389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.66/5.23 % (3386389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.66/5.23 % (3386389)CaDiCaL version: 2.1.3
% 28.66/5.23 % (3386389)Termination reason: Refutation
% 28.66/5.23 % (3386389)Time elapsed: 1.974 s
% 28.66/5.23 % (3386389)Peak memory usage: 137 MB
% 28.66/5.23 % (3386389)Instructions burned: 1847 (million)
% 28.66/5.23 % (3386389)------------------------------
% 28.66/5.23 % (3386389)------------------------------
% 28.66/5.23 % (3386350)Success in time 3.943 s
% 28.66/5.23 % Vampire exiting
%------------------------------------------------------------------------------