%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET322-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 17.31s 3.33s
% Output : Refutation 17.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 37
% Syntax : Number of formulae : 135 ( 43 unt; 10 def)
% Number of atoms : 392 ( 51 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 510 ( 253 ~; 257 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 14 con; 0-3 aty)
% Number of variables : 308 ( 308 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f10,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X1,X0))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair3) ).
fof(f11,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pairs_in_universal) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cartesian_product4) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).
fof(f28,axiom,
! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',restriction1) ).
fof(f30,axiom,
! [X0,X1] :
( restrict(X0,singleton(X1),universal_class) != null_class
| ~ member(X1,domain_of(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain1) ).
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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',flip3) ).
fof(f39,axiom,
! [X0] : domain_of(flip(cross_product(X0,universal_class))) = inverse(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f40,axiom,
! [X0] : domain_of(inverse(X0)) = range_of(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',range_of) ).
fof(f42,axiom,
! [X2,X0,X1] : second(not_subclass_element(restrict(X0,singleton(X1),X2),null_class)) = range(X0,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',range) ).
fof(f67,axiom,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity1) ).
fof(f68,plain,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
inference(reorient_equations,[],[f67]) ).
fof(f122,negated_conjecture,
member(x,domain_of(z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_range_property6_1) ).
fof(f123,negated_conjecture,
~ member(range(z,x,universal_class),range_of(z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_range_property6_2) ).
fof(f125,plain,
! [X0] : range_of(X0) = domain_of(domain_of(flip(cross_product(X0,universal_class)))),
inference(definition_unfolding,[],[f40,f39]) ).
fof(f128,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(f133,plain,
! [X2,X0,X1] : range(X0,X1,X2) = second(not_subclass_element(intersection(X0,cross_product(unordered_pair(X1,X1),X2)),null_class)),
inference(definition_unfolding,[],[f42,f28,f12]) ).
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(X0,X2) ),
inference(definition_unfolding,[],[f14,f128]) ).
fof(f138,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,f128]) ).
fof(f139,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,f128]) ).
fof(f140,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,f128]) ).
fof(f144,plain,
! [X0,X1] :
( null_class != intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))
| ~ member(X1,domain_of(X0)) ),
inference(definition_unfolding,[],[f30,f28,f12]) ).
fof(f145,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(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,f128,f128,f128,f128]) ).
fof(f149,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,f128,f128,f128,f128,f128,f128]) ).
fof(f186,plain,
~ member(second(not_subclass_element(intersection(z,cross_product(unordered_pair(x,x),universal_class)),null_class)),domain_of(domain_of(flip(cross_product(z,universal_class))))),
inference(definition_unfolding,[],[f123,f133,f125]) ).
fof(f191,definition,
sF0 = domain_of(z),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f192,plain,
domain_of(z) = sF0,
inference(reorient_equations,[],[f191]) ).
fof(f193,plain,
member(x,sF0),
inference(definition_folding,[],[f122,f192]) ).
fof(f194,definition,
sF1 = unordered_pair(x,x),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f195,plain,
unordered_pair(x,x) = sF1,
inference(reorient_equations,[],[f194]) ).
fof(f196,definition,
sF2 = cross_product(sF1,universal_class),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f197,plain,
cross_product(sF1,universal_class) = sF2,
inference(reorient_equations,[],[f196]) ).
fof(f198,definition,
sF3 = intersection(z,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f199,plain,
intersection(z,sF2) = sF3,
inference(reorient_equations,[],[f198]) ).
fof(f200,definition,
sF4 = not_subclass_element(sF3,null_class),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f201,plain,
not_subclass_element(sF3,null_class) = sF4,
inference(reorient_equations,[],[f200]) ).
fof(f202,definition,
sF5 = second(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f203,plain,
second(sF4) = sF5,
inference(reorient_equations,[],[f202]) ).
fof(f204,definition,
sF6 = cross_product(z,universal_class),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f205,plain,
cross_product(z,universal_class) = sF6,
inference(reorient_equations,[],[f204]) ).
fof(f206,definition,
sF7 = flip(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f207,plain,
flip(sF6) = sF7,
inference(reorient_equations,[],[f206]) ).
fof(f208,definition,
sF8 = domain_of(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f209,plain,
domain_of(sF7) = sF8,
inference(reorient_equations,[],[f208]) ).
fof(f210,definition,
sF9 = domain_of(sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f211,plain,
domain_of(sF8) = sF9,
inference(reorient_equations,[],[f210]) ).
fof(f212,plain,
~ member(sF5,sF9),
inference(definition_folding,[],[f186,f211,f209,f207,f205,f203,f201,f199,f197,f195]) ).
fof(f213,plain,
! [X0] :
( null_class != intersection(X0,cross_product(sF1,universal_class))
| ~ member(x,domain_of(X0)) ),
inference(superposition,[],[f144,f195]) ).
fof(f214,plain,
! [X0] :
( null_class != intersection(X0,sF2)
| ~ member(x,domain_of(X0)) ),
inference(forward_demodulation,[],[f213,f197]) ).
fof(f219,plain,
( null_class != sF3
| ~ member(x,domain_of(z)) ),
inference(superposition,[],[f214,f199]) ).
fof(f220,plain,
! [X0] :
( ~ member(X0,sF3)
| member(X0,sF2) ),
inference(superposition,[],[f22,f199]) ).
fof(f221,plain,
! [X0] :
( ~ member(X0,sF3)
| member(X0,z) ),
inference(superposition,[],[f21,f199]) ).
fof(f222,plain,
( ~ member(x,sF0)
| null_class != sF3 ),
inference(forward_demodulation,[],[f219,f192]) ).
fof(f223,plain,
null_class != sF3,
inference(forward_subsumption_resolution,[],[f222,f193]) ).
fof(f225,plain,
( member(sF4,sF3)
| subclass(sF3,null_class) ),
inference(superposition,[],[f2,f201]) ).
fof(f231,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,cross_product(X1,X2))
| member(first(X0),X1)
| ~ member(X0,cross_product(X3,X4)) ),
inference(superposition,[],[f137,f140]) ).
fof(f234,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(first(X0),X1) ),
inference(condensation,[],[f231]) ).
fof(f237,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,cross_product(X1,X2))
| member(second(X0),X2)
| ~ member(X0,cross_product(X3,X4)) ),
inference(superposition,[],[f138,f140]) ).
fof(f239,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF6)
| member(X1,universal_class) ),
inference(superposition,[],[f138,f205]) ).
fof(f240,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(second(X0),X2) ),
inference(condensation,[],[f237]) ).
fof(f248,plain,
! [X0] :
( member(second(X0),universal_class)
| ~ member(X0,sF2) ),
inference(superposition,[],[f240,f197]) ).
fof(f256,plain,
! [X2,X3,X0,X1] :
( ~ subclass(intersection(X2,X1),X3)
| ~ member(X0,X2)
| ~ member(X0,X1)
| member(X0,X3) ),
inference(resolution,[],[f23,f1]) ).
fof(f259,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,f145]) ).
fof(f262,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(X0,cross_product(X3,X4)) ),
inference(superposition,[],[f148,f140]) ).
fof(f269,plain,
( member(sF4,sF2)
| subclass(sF3,null_class) ),
inference(resolution,[],[f220,f225]) ).
fof(f282,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF6)
| ~ member(X1,universal_class)
| ~ member(X0,z) ),
inference(superposition,[],[f139,f205]) ).
fof(f302,plain,
( member(sF4,z)
| subclass(sF3,null_class) ),
inference(resolution,[],[f221,f225]) ).
fof(f316,plain,
! [X2,X0,X1] :
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,universal_class) ),
inference(resolution,[],[f256,f4]) ).
fof(f320,plain,
! [X2,X0] :
( ~ member(X0,X2)
| member(X0,universal_class) ),
inference(condensation,[],[f316]) ).
fof(f344,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,[],[f259,f139]) ).
fof(f372,plain,
! [X0] :
( member(regular(X0),universal_class)
| null_class = X0 ),
inference(resolution,[],[f68,f320]) ).
fof(f435,plain,
! [X0] :
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(resolution,[],[f24,f68]) ).
fof(f450,plain,
! [X0] :
( member(first(X0),sF1)
| ~ member(X0,sF2) ),
inference(superposition,[],[f234,f197]) ).
fof(f518,plain,
! [X0] :
( member(first(X0),universal_class)
| ~ member(X0,sF2) ),
inference(resolution,[],[f450,f320]) ).
fof(f669,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,[],[f149,f139]) ).
fof(f672,plain,
! [X2,X3,X0,X1,X4] :
( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))),unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0))))),unordered_pair(unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))),unordered_pair(X1,X1))),flip(X2))
| ~ 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))),cross_product(cross_product(universal_class,universal_class),universal_class))
| ~ member(X0,cross_product(X3,X4)) ),
inference(superposition,[],[f149,f140]) ).
fof(f1111,plain,
( null_class = complement(universal_class)
| null_class = complement(universal_class) ),
inference(resolution,[],[f435,f372]) ).
fof(f1115,plain,
null_class = complement(universal_class),
inference(duplicate_literal_removal,[],[f1111]) ).
fof(f1118,plain,
! [X0] :
( ~ member(X0,null_class)
| ~ member(X0,universal_class) ),
inference(superposition,[],[f24,f1115]) ).
fof(f1119,plain,
! [X0] : ~ member(X0,null_class),
inference(forward_subsumption_resolution,[],[f1118,f320]) ).
fof(f1120,plain,
! [X0] : subclass(null_class,X0),
inference(resolution,[],[f1119,f2]) ).
fof(f2669,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ 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))),cross_product(cross_product(universal_class,universal_class),universal_class))
| ~ member(X0,cross_product(X3,X4))
| member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))),unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0))))),unordered_pair(unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))),unordered_pair(X1,X1))),null_class)
| ~ member(X5,universal_class)
| member(X5,domain_of(flip(X2)))
| ~ member(X1,universal_class)
| ~ member(unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))),unordered_pair(X5,X5)) ),
inference(resolution,[],[f672,f344]) ).
fof(f2687,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ 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))),cross_product(cross_product(universal_class,universal_class),universal_class))
| ~ member(X0,cross_product(X3,X4))
| member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))),unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0))))),unordered_pair(unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))),unordered_pair(X1,X1))),null_class)
| ~ member(X5,universal_class)
| member(X5,domain_of(flip(X2)))
| ~ member(unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))),unordered_pair(X5,X5)) ),
inference(forward_subsumption_resolution,[],[f2669,f138]) ).
fof(f2692,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ 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))),cross_product(cross_product(universal_class,universal_class),universal_class))
| ~ member(X0,cross_product(X3,X4))
| ~ member(X5,universal_class)
| member(X5,domain_of(flip(X2)))
| ~ member(unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))),unordered_pair(X5,X5)) ),
inference(forward_subsumption_resolution,[],[f2687,f1119]) ).
fof(f2693,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(cross_product(universal_class,universal_class),universal_class))
| ~ member(X0,cross_product(X2,X3))
| ~ member(X4,universal_class)
| member(X4,domain_of(flip(X5)))
| ~ member(unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))),unordered_pair(X4,X4))
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),flip(X5))
| ~ member(X0,cross_product(X6,X7)) ),
inference(resolution,[],[f2692,f262]) ).
fof(f2717,plain,
! [X0,X1,X6,X7,X4,X5] :
( ~ member(unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))),unordered_pair(X4,X4))
| ~ member(X4,universal_class)
| member(X4,domain_of(flip(X5)))
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(cross_product(universal_class,universal_class),universal_class))
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),flip(X5))
| ~ member(X0,cross_product(X6,X7)) ),
inference(condensation,[],[f2693]) ).
fof(f2744,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ member(X0,unordered_pair(X1,X1))
| ~ member(X1,universal_class)
| member(X1,domain_of(flip(X2)))
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X3,X3))),cross_product(cross_product(universal_class,universal_class),universal_class))
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X3,X3))),flip(X2))
| ~ member(X0,cross_product(X4,X5))
| ~ member(X0,cross_product(X6,X7)) ),
inference(superposition,[],[f2717,f140]) ).
fof(f2746,plain,
! [X2,X3,X0,X1,X6,X7] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X3,X3))),cross_product(cross_product(universal_class,universal_class),universal_class))
| ~ member(X1,universal_class)
| member(X1,domain_of(flip(X2)))
| ~ member(X0,unordered_pair(X1,X1))
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X3,X3))),flip(X2))
| ~ member(X0,cross_product(X6,X7)) ),
inference(condensation,[],[f2744]) ).
fof(f2754,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ member(X0,universal_class)
| member(X0,domain_of(flip(X1)))
| ~ member(X2,unordered_pair(X0,X0))
| ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),flip(X1))
| ~ member(X2,cross_product(X4,X5))
| ~ member(X3,universal_class)
| ~ member(X2,cross_product(universal_class,universal_class)) ),
inference(resolution,[],[f2746,f139]) ).
fof(f2769,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),flip(X1))
| member(X0,domain_of(flip(X1)))
| ~ member(X2,unordered_pair(X0,X0))
| ~ member(X0,universal_class)
| ~ member(X3,universal_class)
| ~ member(X2,cross_product(universal_class,universal_class)) ),
inference(condensation,[],[f2754]) ).
fof(f2778,plain,
! [X2,X3,X0,X1,X4] :
( member(X0,domain_of(flip(X1)))
| ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),unordered_pair(X0,X0))
| ~ member(X0,universal_class)
| ~ member(X4,universal_class)
| ~ 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(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2))),unordered_pair(X4,X4))),X1)
| ~ member(X4,universal_class)
| ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),cross_product(universal_class,universal_class)) ),
inference(resolution,[],[f2769,f669]) ).
fof(f2795,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2))),unordered_pair(X4,X4))),X1)
| ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),unordered_pair(X0,X0))
| ~ member(X0,universal_class)
| ~ member(X4,universal_class)
| ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),cross_product(universal_class,universal_class))
| member(X0,domain_of(flip(X1))) ),
inference(duplicate_literal_removal,[],[f2778]) ).
fof(f2830,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)))),cross_product(universal_class,universal_class))
| ~ member(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),unordered_pair(X3,X3))
| ~ member(X3,universal_class)
| ~ member(X1,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),X2)
| member(X3,domain_of(flip(X2)))
| ~ member(X0,cross_product(X4,X5)) ),
inference(superposition,[],[f2795,f140]) ).
fof(f3190,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)))),unordered_pair(X1,X1))
| ~ member(X1,universal_class)
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),X3)
| member(X1,domain_of(flip(X3)))
| ~ member(X0,cross_product(X4,X5))
| ~ member(first(X0),universal_class)
| ~ member(second(X0),universal_class) ),
inference(resolution,[],[f2830,f139]) ).
fof(f3198,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),universal_class)
| ~ member(X1,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),X2)
| member(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),domain_of(flip(X2)))
| ~ member(X0,cross_product(X3,X4))
| ~ member(first(X0),universal_class)
| ~ member(second(X0),universal_class)
| ~ member(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),universal_class) ),
inference(resolution,[],[f3190,f10]) ).
fof(f3202,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),universal_class)
| ~ member(X1,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),X2)
| member(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),domain_of(flip(X2)))
| ~ member(X0,cross_product(X3,X4))
| ~ member(first(X0),universal_class)
| ~ member(second(X0),universal_class) ),
inference(duplicate_literal_removal,[],[f3198]) ).
fof(f3208,plain,
! [X2,X3,X0,X1,X4] :
( member(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),domain_of(flip(X2)))
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),X2)
| ~ member(X1,universal_class)
| ~ member(X0,cross_product(X3,X4))
| ~ member(first(X0),universal_class)
| ~ member(second(X0),universal_class) ),
inference(forward_subsumption_resolution,[],[f3202,f11]) ).
fof(f3221,plain,
! [X2,X3,X0,X1] :
( member(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),domain_of(sF7))
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF6)
| ~ member(X1,universal_class)
| ~ member(X0,cross_product(X2,X3))
| ~ member(first(X0),universal_class)
| ~ member(second(X0),universal_class) ),
inference(superposition,[],[f3208,f207]) ).
fof(f3223,plain,
! [X2,X3,X0,X1] :
( member(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),domain_of(sF7))
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF6)
| ~ member(X0,cross_product(X2,X3))
| ~ member(first(X0),universal_class)
| ~ member(second(X0),universal_class) ),
inference(forward_subsumption_resolution,[],[f3221,f239]) ).
fof(f3227,plain,
! [X2,X3,X0,X1] :
( member(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),sF8)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF6)
| ~ member(X0,cross_product(X2,X3))
| ~ member(first(X0),universal_class)
| ~ member(second(X0),universal_class) ),
inference(forward_demodulation,[],[f3223,f209]) ).
fof(f3279,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF6)
| ~ member(X0,cross_product(X2,X3))
| ~ member(first(X0),universal_class)
| ~ member(second(X0),universal_class)
| member(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),null_class)
| ~ member(X4,universal_class)
| member(X4,domain_of(sF8))
| ~ member(first(X0),universal_class)
| ~ member(second(X0),unordered_pair(X4,X4)) ),
inference(resolution,[],[f3227,f344]) ).
fof(f3285,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF6)
| ~ member(X0,cross_product(X2,X3))
| ~ member(first(X0),universal_class)
| ~ member(second(X0),universal_class)
| member(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),null_class)
| ~ member(X4,universal_class)
| member(X4,domain_of(sF8))
| ~ member(second(X0),unordered_pair(X4,X4)) ),
inference(duplicate_literal_removal,[],[f3279]) ).
fof(f3289,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF6)
| ~ member(X0,cross_product(X2,X3))
| ~ member(first(X0),universal_class)
| member(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),null_class)
| ~ member(X4,universal_class)
| member(X4,domain_of(sF8))
| ~ member(second(X0),unordered_pair(X4,X4)) ),
inference(forward_subsumption_resolution,[],[f3285,f320]) ).
fof(f3291,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF6)
| ~ member(X0,cross_product(X2,X3))
| ~ member(first(X0),universal_class)
| ~ member(X4,universal_class)
| member(X4,domain_of(sF8))
| ~ member(second(X0),unordered_pair(X4,X4)) ),
inference(forward_subsumption_resolution,[],[f3289,f1119]) ).
fof(f3293,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF6)
| member(X4,sF9)
| ~ member(X0,cross_product(X2,X3))
| ~ member(first(X0),universal_class)
| ~ member(X4,universal_class)
| ~ member(second(X0),unordered_pair(X4,X4)) ),
inference(forward_demodulation,[],[f3291,f211]) ).
fof(f3294,plain,
! [X2,X3,X0,X1,X4] :
( member(X0,sF9)
| ~ member(X1,cross_product(X2,X3))
| ~ member(first(X1),universal_class)
| ~ member(X0,universal_class)
| ~ member(second(X1),unordered_pair(X0,X0))
| ~ member(X4,universal_class)
| ~ member(X1,z) ),
inference(resolution,[],[f3293,f282]) ).
fof(f3311,plain,
! [X2,X3,X0,X1] :
( ~ member(second(X1),unordered_pair(X0,X0))
| ~ member(X1,cross_product(X2,X3))
| ~ member(first(X1),universal_class)
| ~ member(X0,universal_class)
| member(X0,sF9)
| ~ member(X1,z) ),
inference(condensation,[],[f3294]) ).
fof(f3321,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| ~ member(first(X0),universal_class)
| ~ member(second(X0),universal_class)
| member(second(X0),sF9)
| ~ member(X0,z)
| ~ member(second(X0),universal_class) ),
inference(resolution,[],[f3311,f10]) ).
fof(f3324,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| ~ member(first(X0),universal_class)
| ~ member(second(X0),universal_class)
| member(second(X0),sF9)
| ~ member(X0,z) ),
inference(duplicate_literal_removal,[],[f3321]) ).
fof(f3345,plain,
! [X0] :
( ~ member(X0,sF2)
| ~ member(first(X0),universal_class)
| ~ member(second(X0),universal_class)
| member(second(X0),sF9)
| ~ member(X0,z) ),
inference(superposition,[],[f3324,f197]) ).
fof(f3355,plain,
! [X0] :
( ~ member(X0,sF2)
| ~ member(second(X0),universal_class)
| member(second(X0),sF9)
| ~ member(X0,z) ),
inference(forward_subsumption_resolution,[],[f3345,f518]) ).
fof(f3361,plain,
! [X0] :
( member(second(X0),sF9)
| ~ member(X0,sF2)
| ~ member(X0,z) ),
inference(forward_subsumption_resolution,[],[f3355,f248]) ).
fof(f3364,plain,
( member(sF5,sF9)
| ~ member(sF4,sF2)
| ~ member(sF4,z) ),
inference(superposition,[],[f3361,f203]) ).
fof(f3365,plain,
( ~ member(sF4,sF2)
| ~ member(sF4,z) ),
inference(forward_subsumption_resolution,[],[f3364,f212]) ).
fof(f3371,plain,
( ~ member(sF4,z)
| subclass(sF3,null_class) ),
inference(resolution,[],[f3365,f269]) ).
fof(f3372,plain,
subclass(sF3,null_class),
inference(forward_subsumption_resolution,[],[f3371,f302]) ).
fof(f3374,plain,
( ~ subclass(null_class,sF3)
| null_class = sF3 ),
inference(resolution,[],[f3372,f7]) ).
fof(f3375,plain,
null_class = sF3,
inference(forward_subsumption_resolution,[],[f3374,f1120]) ).
fof(f3376,plain,
$false,
inference(forward_subsumption_resolution,[],[f3375,f223]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET322-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 % Computer : n026.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Mon Sep 28 01:28:28 UTC 2026
% 0.11/0.41 % CPUTime :
% 0.11/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.44 Running first-order theorem proving
% 0.11/0.44 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.31/2.34 % (3387808)Input is clausal, will run a generic CNF schedule.
% 10.31/2.34 % (3387813)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=253080676:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.31/2.34 % (3387817)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3567484094:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.31/2.34 % (3387819)dis-21_1_sil=8000:lcm=predicate:random_seed=3885830177: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)
% 10.31/2.34 % (3387815)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=708722824:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.31/2.34 % (3387816)lrs+10_1_sil=8000:sp=occurrence:random_seed=2559317667:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.31/2.34 % (3387814)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4025954750:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.31/2.34 % (3387818)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2064397691:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.31/2.34 % (3387817)Instruction limit reached!
% 10.31/2.34 % (3387817)------------------------------
% 10.31/2.34 % (3387817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.31/2.34 % (3387817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.31/2.34 % (3387817)CaDiCaL version: 2.1.3
% 10.31/2.34 % (3387817)Termination reason: Instruction limit
% 10.31/2.34 % (3387817)Termination phase: Saturation
% 10.31/2.34 % (3387817)Time elapsed: 0.069 s
% 10.31/2.34 % (3387817)Peak memory usage: 89 MB
% 10.31/2.34 % (3387817)Instructions burned: 115 (million)
% 10.31/2.34 % (3387819)Instruction limit reached!
% 10.31/2.34 % (3387819)------------------------------
% 10.31/2.34 % (3387819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.31/2.34 % (3387819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.31/2.34 % (3387819)CaDiCaL version: 2.1.3
% 10.31/2.34 % (3387819)Termination reason: Instruction limit
% 10.31/2.34 % (3387819)Termination phase: Saturation
% 10.31/2.34 % (3387819)Time elapsed: 0.072 s
% 10.31/2.34 % (3387819)Peak memory usage: 89 MB
% 10.31/2.34 % (3387819)Instructions burned: 117 (million)
% 10.31/2.34 % (3387816)Instruction limit reached!
% 10.31/2.34 % (3387816)------------------------------
% 10.31/2.34 % (3387816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.31/2.34 % (3387816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.31/2.34 % (3387816)CaDiCaL version: 2.1.3
% 10.31/2.34 % (3387816)Termination reason: Instruction limit
% 10.31/2.34 % (3387816)Termination phase: Saturation
% 10.31/2.34 % (3387816)Time elapsed: 0.073 s
% 10.31/2.34 % (3387816)Peak memory usage: 90 MB
% 10.31/2.34 % (3387816)Instructions burned: 108 (million)
% 10.31/2.34 % (3387818)Instruction limit reached!
% 10.31/2.34 % (3387818)------------------------------
% 10.31/2.34 % (3387818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.31/2.34 % (3387818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.31/2.34 % (3387818)CaDiCaL version: 2.1.3
% 10.31/2.34 % (3387818)Termination reason: Instruction limit
% 10.31/2.34 % (3387818)Termination phase: Saturation
% 10.31/2.34 % (3387818)Time elapsed: 0.132 s
% 10.31/2.34 % (3387818)Peak memory usage: 90 MB
% 10.31/2.34 % (3387818)Instructions burned: 180 (million)
% 10.31/2.34 % (3387827)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=776614316:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 10.31/2.34 % (3387828)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2984238884: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)
% 10.31/2.34 % (3387829)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=888901058:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 10.31/2.34 % (3387827)Refutation not found, incomplete strategy
% 10.31/2.34 % (3387827)------------------------------
% 10.31/2.34 % (3387827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.31/3.33 % (3387827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.31/3.33 % (3387827)CaDiCaL version: 2.1.3
% 17.31/3.33 % (3387827)Termination reason: Refutation not found, incomplete strategy
% 17.31/3.33 % (3387827)Time elapsed: 0.004 s
% 17.31/3.33 % (3387827)Peak memory usage: 88 MB
% 17.31/3.33 % (3387827)Instructions burned: 3 (million)
% 17.31/3.33 % (3387830)lrs+10_64_to=lpo:sil=8000:random_seed=3656574585:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 17.31/3.33 % (3387828)Instruction limit reached!
% 17.31/3.33 % (3387828)------------------------------
% 17.31/3.33 % (3387828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.31/3.33 % (3387828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.31/3.33 % (3387828)CaDiCaL version: 2.1.3
% 17.31/3.33 % (3387828)Termination reason: Instruction limit
% 17.31/3.33 % (3387828)Termination phase: Saturation
% 17.31/3.33 % (3387828)Time elapsed: 0.109 s
% 17.31/3.33 % (3387828)Peak memory usage: 91 MB
% 17.31/3.33 % (3387828)Instructions burned: 190 (million)
% 17.31/3.33 % (3387829)Instruction limit reached!
% 17.31/3.33 % (3387829)------------------------------
% 17.31/3.33 % (3387829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.31/3.33 % (3387829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.31/3.33 % (3387829)CaDiCaL version: 2.1.3
% 17.31/3.33 % (3387829)Termination reason: Instruction limit
% 17.31/3.33 % (3387829)Termination phase: Saturation
% 17.31/3.33 % (3387829)Time elapsed: 0.137 s
% 17.31/3.33 % (3387829)Peak memory usage: 89 MB
% 17.31/3.33 % (3387829)Instructions burned: 220 (million)
% 17.31/3.33 % (3387830)Instruction limit reached!
% 17.31/3.33 % (3387830)------------------------------
% 17.31/3.33 % (3387830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.31/3.33 % (3387830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.31/3.33 % (3387830)CaDiCaL version: 2.1.3
% 17.31/3.33 % (3387830)Termination reason: Instruction limit
% 17.31/3.33 % (3387830)Termination phase: Saturation
% 17.31/3.33 % (3387830)Time elapsed: 0.076 s
% 17.31/3.33 % (3387830)Peak memory usage: 90 MB
% 17.31/3.33 % (3387830)Instructions burned: 127 (million)
% 17.31/3.33 % (3387827)------------------------------
% 17.31/3.33 % (3387827)------------------------------
% 17.31/3.33 % (3387835)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3952720842:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 17.31/3.33 % (3387836)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3979849401:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 17.31/3.33 % (3387837)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2150242397:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 17.31/3.33 % (3387835)Instruction limit reached!
% 17.31/3.33 % (3387835)------------------------------
% 17.31/3.33 % (3387835)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.31/3.33 % (3387835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.31/3.33 % (3387835)CaDiCaL version: 2.1.3
% 17.31/3.33 % (3387835)Termination reason: Instruction limit
% 17.31/3.33 % (3387835)Termination phase: Saturation
% 17.31/3.33 % (3387835)Time elapsed: 0.120 s
% 17.31/3.33 % (3387835)Peak memory usage: 90 MB
% 17.31/3.33 % (3387835)Instructions burned: 194 (million)
% 17.31/3.33 % (3387839)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=3733859628:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 17.31/3.33 % (3387836)Instruction limit reached!
% 17.31/3.33 % (3387836)------------------------------
% 17.31/3.33 % (3387836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.31/3.33 % (3387836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.31/3.33 % (3387836)CaDiCaL version: 2.1.3
% 17.31/3.33 % (3387836)Termination reason: Instruction limit
% 17.31/3.33 % (3387836)Termination phase: Saturation
% 17.31/3.33 % (3387836)Time elapsed: 0.112 s
% 17.31/3.33 % (3387836)Peak memory usage: 91 MB
% 17.31/3.33 % (3387836)Instructions burned: 158 (million)
% 17.31/3.33 % (3387839)Instruction limit reached!
% 17.31/3.33 % (3387839)------------------------------
% 17.31/3.33 % (3387839)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.31/3.33 % (3387839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.31/3.33 % (3387839)CaDiCaL version: 2.1.3
% 17.31/3.33 % (3387839)Termination reason: Instruction limit
% 17.31/3.33 % (3387839)Termination phase: Saturation
% 17.31/3.33 % (3387839)Time elapsed: 0.064 s
% 17.31/3.33 % (3387839)Peak memory usage: 90 MB
% 17.31/3.33 % (3387839)Instructions burned: 108 (million)
% 17.31/3.33 % (3387843)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3210752871:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 17.31/3.33 % (3387844)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2574399476:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 17.31/3.33 % (3387845)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2160029366:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 17.31/3.33 % (3387843)Instruction limit reached!
% 17.31/3.33 % (3387843)------------------------------
% 17.31/3.33 % (3387843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.31/3.33 % (3387843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.31/3.33 % (3387843)CaDiCaL version: 2.1.3
% 17.31/3.33 % (3387843)Termination reason: Instruction limit
% 17.31/3.33 % (3387843)Termination phase: Saturation
% 17.31/3.33 % (3387843)Time elapsed: 0.075 s
% 17.31/3.33 % (3387843)Peak memory usage: 89 MB
% 17.31/3.33 % (3387843)Instructions burned: 108 (million)
% 17.31/3.33 % (3387844)Instruction limit reached!
% 17.31/3.33 % (3387844)------------------------------
% 17.31/3.33 % (3387844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.31/3.33 % (3387844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.31/3.33 % (3387844)CaDiCaL version: 2.1.3
% 17.31/3.33 % (3387844)Termination reason: Instruction limit
% 17.31/3.33 % (3387844)Termination phase: Saturation
% 17.31/3.33 % (3387844)Time elapsed: 0.161 s
% 17.31/3.33 % (3387844)Peak memory usage: 91 MB
% 17.31/3.33 % (3387844)Instructions burned: 243 (million)
% 17.31/3.33 % (3387849)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=625515246:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 17.31/3.33 % (3387849)Instruction limit reached!
% 17.31/3.33 % (3387849)------------------------------
% 17.31/3.33 % (3387849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.31/3.33 % (3387849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.31/3.33 % (3387849)CaDiCaL version: 2.1.3
% 17.31/3.33 % (3387849)Termination reason: Instruction limit
% 17.31/3.33 % (3387849)Termination phase: Saturation
% 17.31/3.33 % (3387849)Time elapsed: 0.051 s
% 17.31/3.33 % (3387849)Peak memory usage: 88 MB
% 17.31/3.33 % (3387849)Instructions burned: 137 (million)
% 17.31/3.33 % (3387851)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2219417075:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 17.31/3.33 % (3387852)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2163628016:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 17.31/3.33 % (3387852)Instruction limit reached!
% 17.31/3.33 % (3387852)------------------------------
% 17.31/3.33 % (3387852)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.31/3.33 % (3387852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.31/3.33 % (3387852)CaDiCaL version: 2.1.3
% 17.31/3.33 % (3387852)Termination reason: Instruction limit
% 17.31/3.33 % (3387852)Termination phase: Saturation
% 17.31/3.33 % (3387852)Time elapsed: 0.110 s
% 17.31/3.33 % (3387852)Peak memory usage: 89 MB
% 17.31/3.33 % (3387852)Instructions burned: 191 (million)
% 17.31/3.33 % (3387851)Instruction limit reached!
% 17.31/3.33 % (3387851)------------------------------
% 17.31/3.33 % (3387851)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.31/3.33 % (3387851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.31/3.33 % (3387851)CaDiCaL version: 2.1.3
% 17.31/3.33 % (3387851)Termination reason: Instruction limit
% 17.31/3.33 % (3387851)Termination phase: Saturation
% 17.31/3.33 % (3387851)Time elapsed: 0.291 s
% 17.31/3.33 % (3387851)Peak memory usage: 96 MB
% 17.31/3.33 % (3387851)Instructions burned: 499 (million)
% 17.31/3.33 % (3387855)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=4185310087:i=264:kws=precedence:fsr=off_2986 on theBenchmark for (2986ds/264Mi)
% 17.31/3.33 % (3387857)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=3758768234:cond=on:i=156:bs=on:gtg=exists_all:er=known_2985 on theBenchmark for (2985ds/156Mi)
% 17.31/3.33 % (3387855)Instruction limit reached!
% 17.31/3.33 % (3387855)------------------------------
% 17.31/3.33 % (3387855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.31/3.33 % (3387855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.31/3.33 % (3387855)CaDiCaL version: 2.1.3
% 17.31/3.33 % (3387855)Termination reason: Instruction limit
% 17.31/3.33 % (3387855)Termination phase: Saturation
% 17.31/3.33 % (3387855)Time elapsed: 0.165 s
% 17.31/3.33 % (3387855)Peak memory usage: 91 MB
% 17.31/3.33 % (3387855)Instructions burned: 265 (million)
% 17.31/3.33 % (3387857)Instruction limit reached!
% 17.31/3.33 % (3387857)------------------------------
% 17.31/3.33 % (3387857)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.31/3.33 % (3387857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.31/3.33 % (3387857)CaDiCaL version: 2.1.3
% 17.31/3.33 % (3387857)Termination reason: Instruction limit
% 17.31/3.33 % (3387857)Termination phase: Saturation
% 17.31/3.33 % (3387857)Time elapsed: 0.089 s
% 17.31/3.33 % (3387857)Peak memory usage: 89 MB
% 17.31/3.33 % (3387857)Instructions burned: 157 (million)
% 17.31/3.33 % (3387859)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=13410841:i=3256:kws=precedence:bd=preordered:av=off_2983 on theBenchmark for (2983ds/3256Mi)
% 17.31/3.33 % (3387860)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=2710678936:i=537:av=off:ss=included_2983 on theBenchmark for (2983ds/537Mi)
% 17.31/3.33 % (3387860)Instruction limit reached!
% 17.31/3.33 % (3387860)------------------------------
% 17.31/3.33 % (3387860)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.31/3.33 % (3387860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.31/3.33 % (3387860)CaDiCaL version: 2.1.3
% 17.31/3.33 % (3387860)Termination reason: Instruction limit
% 17.31/3.33 % (3387860)Termination phase: Saturation
% 17.31/3.33 % (3387860)Time elapsed: 0.203 s
% 17.31/3.33 % (3387860)Peak memory usage: 88 MB
% 17.31/3.33 % (3387860)Instructions burned: 539 (million)
% 17.31/3.33 % (3387863)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=1508156772:i=180:bd=preordered:av=off_2979 on theBenchmark for (2979ds/180Mi)
% 17.31/3.33 % (3387845)First to succeed.
% 17.31/3.33 % (3387845)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3387808"
% 17.31/3.33 % (3387863)Instruction limit reached!
% 17.31/3.33 % (3387863)------------------------------
% 17.31/3.33 % (3387863)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.31/3.33 % (3387863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.31/3.33 % (3387863)CaDiCaL version: 2.1.3
% 17.31/3.33 % (3387863)Termination reason: Instruction limit
% 17.31/3.33 % (3387863)Termination phase: Saturation
% 17.31/3.33 % (3387863)Time elapsed: 0.092 s
% 17.31/3.33 % (3387863)Peak memory usage: 90 MB
% 17.31/3.33 % (3387863)Instructions burned: 180 (million)
% 17.31/3.33 % (3387865)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=1300297759:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2977 on theBenchmark for (2977ds/10307Mi)
% 17.31/3.33 % (3387845)Refutation found. Thanks to Tanya!
% 17.31/3.33 % SZS status Unsatisfiable for theBenchmark
% 17.31/3.33 % SZS output start Proof for theBenchmark
% See solution above
% 17.75/3.42 % (3387845)------------------------------
% 17.75/3.42 % (3387845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.75/3.42 % (3387845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.75/3.42 % (3387845)CaDiCaL version: 2.1.3
% 17.75/3.42 % (3387845)Termination reason: Refutation
% 17.75/3.42 % (3387845)Time elapsed: 1.272 s
% 17.75/3.42 % (3387845)Peak memory usage: 137 MB
% 17.75/3.42 % (3387845)Instructions burned: 1990 (million)
% 17.75/3.42 % (3387845)------------------------------
% 17.75/3.42 % (3387845)------------------------------
% 17.75/3.42 % (3387808)Success in time 2.446 s
% 17.75/3.42 % Vampire exiting
%------------------------------------------------------------------------------