%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET381-6 : 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 12:40:53 PM UTC 2026
% Result : Unsatisfiable 16.59s 3.48s
% Output : Refutation 17.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 29
% Syntax : Number of formulae : 116 ( 32 unt; 7 def)
% Number of atoms : 347 ( 33 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 438 ( 207 ~; 231 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 10 con; 0-3 aty)
% Number of variables : 229 ( 229 !; 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(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair2) ).
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(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,
subclass(x,cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relation_property2_1) ).
fof(f123,negated_conjecture,
~ subclass(x,cross_product(domain_of(x),range_of(x))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relation_property2_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(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(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(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,
~ subclass(x,cross_product(domain_of(x),domain_of(domain_of(flip(cross_product(x,universal_class)))))),
inference(definition_unfolding,[],[f123,f125]) ).
fof(f191,definition,
sF0 = cross_product(universal_class,universal_class),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f192,plain,
cross_product(universal_class,universal_class) = sF0,
inference(reorient_equations,[],[f191]) ).
fof(f193,plain,
subclass(x,sF0),
inference(definition_folding,[],[f122,f192]) ).
fof(f194,definition,
sF1 = domain_of(x),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f195,plain,
domain_of(x) = sF1,
inference(reorient_equations,[],[f194]) ).
fof(f196,definition,
sF2 = cross_product(x,universal_class),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f197,plain,
cross_product(x,universal_class) = sF2,
inference(reorient_equations,[],[f196]) ).
fof(f198,definition,
sF3 = flip(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f199,plain,
flip(sF2) = sF3,
inference(reorient_equations,[],[f198]) ).
fof(f200,definition,
sF4 = domain_of(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f201,plain,
domain_of(sF3) = sF4,
inference(reorient_equations,[],[f200]) ).
fof(f202,definition,
sF5 = domain_of(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f203,plain,
domain_of(sF4) = sF5,
inference(reorient_equations,[],[f202]) ).
fof(f204,definition,
sF6 = cross_product(sF1,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f205,plain,
cross_product(sF1,sF5) = sF6,
inference(reorient_equations,[],[f204]) ).
fof(f206,plain,
~ subclass(x,sF6),
inference(definition_folding,[],[f186,f205,f203,f201,f199,f197,f195]) ).
fof(f209,plain,
! [X2,X0,X1] :
( member(not_subclass_element(X0,X2),X1)
| ~ subclass(X0,X1)
| subclass(X0,X2) ),
inference(resolution,[],[f1,f2]) ).
fof(f213,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF2)
| member(X1,universal_class) ),
inference(superposition,[],[f138,f197]) ).
fof(f219,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF2)
| ~ member(X1,universal_class)
| ~ member(X0,x) ),
inference(superposition,[],[f139,f197]) ).
fof(f221,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| ~ member(X1,universal_class)
| ~ member(X0,universal_class) ),
inference(superposition,[],[f139,f192]) ).
fof(f222,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,[],[f139,f140]) ).
fof(f223,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(f224,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(f225,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(first(X0),X1) ),
inference(condensation,[],[f224]) ).
fof(f226,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(second(X0),X2) ),
inference(condensation,[],[f223]) ).
fof(f231,plain,
! [X2,X0,X1] :
( member(X0,cross_product(X2,X1))
| ~ member(second(X0),X1)
| ~ member(first(X0),X2)
| ~ member(X0,sF0) ),
inference(superposition,[],[f222,f192]) ).
fof(f236,plain,
! [X0] :
( member(first(X0),universal_class)
| ~ member(X0,sF0) ),
inference(superposition,[],[f225,f192]) ).
fof(f244,plain,
! [X0] :
( member(second(X0),universal_class)
| ~ member(X0,sF0) ),
inference(superposition,[],[f226,f192]) ).
fof(f269,plain,
! [X0] :
( ~ member(second(X0),sF5)
| member(X0,sF6)
| ~ member(first(X0),sF1)
| ~ member(X0,sF0) ),
inference(superposition,[],[f231,f205]) ).
fof(f279,plain,
! [X2,X3,X0,X1] :
( ~ subclass(intersection(X2,X1),X3)
| ~ member(X0,X2)
| ~ member(X0,X1)
| member(X0,X3) ),
inference(resolution,[],[f23,f1]) ).
fof(f313,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(f320,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),X3)
| member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X2,X2))),flip(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(f328,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(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF0)
| ~ member(X2,universal_class) ),
inference(forward_demodulation,[],[f320,f192]) ).
fof(f336,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))),sF3)
| ~ 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))),sF2)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| ~ member(X2,universal_class) ),
inference(superposition,[],[f328,f199]) ).
fof(f337,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))),sF2)
| 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))),sF3)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0) ),
inference(forward_subsumption_resolution,[],[f336,f213]) ).
fof(f340,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))),sF3)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),x) ),
inference(resolution,[],[f337,f219]) ).
fof(f358,plain,
! [X2,X0,X1] :
( member(X0,null_class)
| ~ member(X0,X1)
| ~ member(X2,universal_class)
| member(X2,domain_of(X1))
| ~ member(second(X0),universal_class)
| ~ member(first(X0),unordered_pair(X2,X2))
| ~ member(X0,sF0) ),
inference(resolution,[],[f313,f231]) ).
fof(f362,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,[],[f313,f139]) ).
fof(f365,plain,
! [X2,X0,X1] :
( ~ member(first(X0),unordered_pair(X2,X2))
| ~ member(X0,X1)
| ~ member(X2,universal_class)
| member(X2,domain_of(X1))
| member(X0,null_class)
| ~ member(X0,sF0) ),
inference(forward_subsumption_resolution,[],[f358,f244]) ).
fof(f402,plain,
! [X0] :
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(resolution,[],[f68,f24]) ).
fof(f410,plain,
! [X2,X0,X1] :
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,universal_class) ),
inference(resolution,[],[f279,f4]) ).
fof(f413,plain,
! [X2,X0] :
( ~ member(X0,X2)
| member(X0,universal_class) ),
inference(condensation,[],[f410]) ).
fof(f435,plain,
! [X0] :
( member(regular(X0),universal_class)
| null_class = X0 ),
inference(resolution,[],[f413,f68]) ).
fof(f483,plain,
! [X0,X1] :
( ~ member(X0,X1)
| ~ member(first(X0),universal_class)
| member(first(X0),domain_of(X1))
| member(X0,null_class)
| ~ member(X0,sF0)
| ~ member(first(X0),universal_class) ),
inference(resolution,[],[f365,f9]) ).
fof(f484,plain,
! [X0,X1] :
( ~ member(X0,X1)
| ~ member(first(X0),universal_class)
| member(first(X0),domain_of(X1))
| member(X0,null_class)
| ~ member(X0,sF0) ),
inference(duplicate_literal_removal,[],[f483]) ).
fof(f485,plain,
! [X0,X1] :
( member(first(X0),domain_of(X1))
| ~ member(X0,X1)
| member(X0,null_class)
| ~ member(X0,sF0) ),
inference(forward_subsumption_resolution,[],[f484,f236]) ).
fof(f488,plain,
! [X0] :
( member(first(X0),sF1)
| ~ member(X0,x)
| member(X0,null_class)
| ~ member(X0,sF0) ),
inference(superposition,[],[f485,f195]) ).
fof(f655,plain,
( null_class = complement(universal_class)
| null_class = complement(universal_class) ),
inference(resolution,[],[f435,f402]) ).
fof(f658,plain,
null_class = complement(universal_class),
inference(duplicate_literal_removal,[],[f655]) ).
fof(f660,plain,
! [X0] :
( ~ member(X0,null_class)
| ~ member(X0,universal_class) ),
inference(superposition,[],[f24,f658]) ).
fof(f661,plain,
! [X0] : ~ member(X0,null_class),
inference(forward_subsumption_resolution,[],[f660,f413]) ).
fof(f679,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(sF3))
| ~ 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))),sF0)
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),x) ),
inference(resolution,[],[f362,f340]) ).
fof(f687,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(sF3))
| ~ 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))),sF0)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),x) ),
inference(duplicate_literal_removal,[],[f679]) ).
fof(f699,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,universal_class)
| member(X3,domain_of(sF3))
| ~ 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))),sF0)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),x) ),
inference(forward_subsumption_resolution,[],[f687,f661]) ).
fof(f700,plain,
! [X3,X0,X1] :
( ~ member(X3,universal_class)
| member(X3,domain_of(sF3))
| ~ 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))),sF0)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),x) ),
inference(condensation,[],[f699]) ).
fof(f717,plain,
! [X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X3,X3))
| ~ member(X3,universal_class)
| member(X3,sF4)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),x) ),
inference(forward_demodulation,[],[f700,f201]) ).
fof(f727,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))),sF4)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),x)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),universal_class) ),
inference(resolution,[],[f717,f9]) ).
fof(f729,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))),sF4)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),x) ),
inference(duplicate_literal_removal,[],[f727]) ).
fof(f730,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),x)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF4) ),
inference(forward_subsumption_resolution,[],[f729,f11]) ).
fof(f734,plain,
! [X2,X0,X1] :
( ~ member(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),sF0)
| ~ member(X0,x)
| member(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),sF4)
| ~ member(X0,cross_product(X1,X2)) ),
inference(superposition,[],[f730,f140]) ).
fof(f736,plain,
! [X2,X0,X1] :
( member(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),sF4)
| ~ member(X0,x)
| ~ member(X0,cross_product(X1,X2))
| ~ member(first(X0),universal_class)
| ~ member(second(X0),universal_class) ),
inference(resolution,[],[f734,f221]) ).
fof(f789,plain,
! [X2,X3,X0,X1] :
( ~ member(X0,x)
| ~ member(X0,cross_product(X1,X2))
| ~ 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(X3,universal_class)
| member(X3,domain_of(sF4))
| ~ member(first(X0),universal_class)
| ~ member(second(X0),unordered_pair(X3,X3)) ),
inference(resolution,[],[f736,f362]) ).
fof(f790,plain,
! [X2,X3,X0,X1] :
( ~ member(X0,x)
| ~ member(X0,cross_product(X1,X2))
| ~ 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(X3,universal_class)
| member(X3,domain_of(sF4))
| ~ member(second(X0),unordered_pair(X3,X3)) ),
inference(duplicate_literal_removal,[],[f789]) ).
fof(f791,plain,
! [X2,X3,X0,X1] :
( ~ member(X0,x)
| ~ member(X0,cross_product(X1,X2))
| ~ 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(X3,universal_class)
| member(X3,domain_of(sF4))
| ~ member(second(X0),unordered_pair(X3,X3)) ),
inference(forward_subsumption_resolution,[],[f790,f413]) ).
fof(f792,plain,
! [X2,X3,X0,X1] :
( ~ member(X0,x)
| ~ member(X0,cross_product(X1,X2))
| ~ member(first(X0),universal_class)
| ~ member(X3,universal_class)
| member(X3,domain_of(sF4))
| ~ member(second(X0),unordered_pair(X3,X3)) ),
inference(forward_subsumption_resolution,[],[f791,f661]) ).
fof(f793,plain,
! [X2,X3,X0,X1] :
( ~ member(second(X0),unordered_pair(X3,X3))
| ~ member(X0,x)
| ~ member(X0,cross_product(X1,X2))
| ~ member(first(X0),universal_class)
| ~ member(X3,universal_class)
| member(X3,sF5) ),
inference(forward_demodulation,[],[f792,f203]) ).
fof(f794,plain,
! [X2,X0,X1] :
( ~ member(X0,x)
| ~ member(X0,cross_product(X1,X2))
| ~ member(first(X0),universal_class)
| ~ member(second(X0),universal_class)
| member(second(X0),sF5)
| ~ member(second(X0),universal_class) ),
inference(resolution,[],[f793,f9]) ).
fof(f795,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| ~ member(X0,x)
| ~ member(first(X0),universal_class)
| ~ member(second(X0),universal_class)
| member(second(X0),sF5) ),
inference(duplicate_literal_removal,[],[f794]) ).
fof(f808,plain,
! [X0] :
( ~ member(X0,sF0)
| ~ member(X0,x)
| ~ member(first(X0),universal_class)
| ~ member(second(X0),universal_class)
| member(second(X0),sF5) ),
inference(superposition,[],[f795,f192]) ).
fof(f815,plain,
! [X0] :
( ~ member(X0,sF0)
| ~ member(X0,x)
| ~ member(second(X0),universal_class)
| member(second(X0),sF5) ),
inference(forward_subsumption_resolution,[],[f808,f236]) ).
fof(f819,plain,
! [X0] :
( member(second(X0),sF5)
| ~ member(X0,x)
| ~ member(X0,sF0) ),
inference(forward_subsumption_resolution,[],[f815,f244]) ).
fof(f824,plain,
! [X0] :
( ~ member(X0,x)
| ~ member(X0,sF0)
| member(X0,sF6)
| ~ member(first(X0),sF1)
| ~ member(X0,sF0) ),
inference(resolution,[],[f819,f269]) ).
fof(f827,plain,
! [X0] :
( ~ member(first(X0),sF1)
| ~ member(X0,sF0)
| member(X0,sF6)
| ~ member(X0,x) ),
inference(duplicate_literal_removal,[],[f824]) ).
fof(f828,plain,
! [X0] :
( ~ member(X0,sF0)
| member(X0,sF6)
| ~ member(X0,x)
| ~ member(X0,x)
| member(X0,null_class)
| ~ member(X0,sF0) ),
inference(resolution,[],[f827,f488]) ).
fof(f830,plain,
! [X0] :
( ~ member(X0,sF0)
| member(X0,sF6)
| ~ member(X0,x)
| member(X0,null_class) ),
inference(duplicate_literal_removal,[],[f828]) ).
fof(f831,plain,
! [X0] :
( ~ member(X0,sF0)
| member(X0,sF6)
| ~ member(X0,x) ),
inference(forward_subsumption_resolution,[],[f830,f661]) ).
fof(f833,plain,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),x)
| member(not_subclass_element(X0,X1),sF6)
| ~ subclass(X0,sF0)
| subclass(X0,X1) ),
inference(resolution,[],[f831,f209]) ).
fof(f1467,plain,
! [X0] :
( member(not_subclass_element(x,X0),sF6)
| ~ subclass(x,sF0)
| subclass(x,X0)
| subclass(x,X0) ),
inference(resolution,[],[f833,f2]) ).
fof(f1472,plain,
! [X0] :
( member(not_subclass_element(x,X0),sF6)
| ~ subclass(x,sF0)
| subclass(x,X0) ),
inference(duplicate_literal_removal,[],[f1467]) ).
fof(f1473,plain,
! [X0] :
( member(not_subclass_element(x,X0),sF6)
| subclass(x,X0) ),
inference(forward_subsumption_resolution,[],[f1472,f193]) ).
fof(f1475,plain,
( subclass(x,sF6)
| subclass(x,sF6) ),
inference(resolution,[],[f1473,f3]) ).
fof(f1478,plain,
subclass(x,sF6),
inference(duplicate_literal_removal,[],[f1475]) ).
fof(f1479,plain,
$false,
inference(forward_subsumption_resolution,[],[f1478,f206]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET381-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.44 % Computer : n026.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Mon Sep 28 01:40:56 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.50 Running first-order theorem proving
% 0.23/0.50 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
% 16.59/3.42 % (3393802)Input is clausal, will run a generic CNF schedule.
% 16.59/3.42 % (3393815)lrs+10_1_sil=8000:sp=occurrence:random_seed=3186215197:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 16.59/3.42 % (3393815)Refutation not found, incomplete strategy
% 16.59/3.42 % (3393815)------------------------------
% 16.59/3.42 % (3393815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.59/3.42 % (3393815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.59/3.42 % (3393815)CaDiCaL version: 2.1.3
% 16.59/3.42 % (3393815)Termination reason: Refutation not found, incomplete strategy
% 16.59/3.42 % (3393815)Time elapsed: 0.001 s
% 16.59/3.42 % (3393815)Peak memory usage: 88 MB
% 16.59/3.42 % (3393815)Instructions burned: 1 (million)
% 16.59/3.42 % (3393814)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1644383867:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 16.59/3.42 % (3393813)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4266795379:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 16.59/3.42 % (3393812)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=3345206322:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 16.59/3.42 % (3393817)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1301105103:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 16.59/3.42 % (3393818)dis-21_1_sil=8000:lcm=predicate:random_seed=3797508803: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)
% 16.59/3.42 % (3393816)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3325745759:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 16.59/3.42 % (3393815)------------------------------
% 16.59/3.42 % (3393815)------------------------------
% 16.59/3.42 % (3393818)Instruction limit reached!
% 16.59/3.42 % (3393818)------------------------------
% 16.59/3.42 % (3393818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.59/3.42 % (3393818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.59/3.42 % (3393818)CaDiCaL version: 2.1.3
% 16.59/3.42 % (3393818)Termination reason: Instruction limit
% 16.59/3.42 % (3393818)Termination phase: Saturation
% 16.59/3.42 % (3393818)Time elapsed: 0.105 s
% 16.59/3.42 % (3393818)Peak memory usage: 89 MB
% 16.59/3.42 % (3393818)Instructions burned: 117 (million)
% 16.59/3.42 % (3393816)Instruction limit reached!
% 16.59/3.42 % (3393816)------------------------------
% 16.59/3.42 % (3393816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.59/3.42 % (3393816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.59/3.42 % (3393816)CaDiCaL version: 2.1.3
% 16.59/3.42 % (3393816)Termination reason: Instruction limit
% 16.59/3.42 % (3393816)Termination phase: Saturation
% 16.59/3.42 % (3393816)Time elapsed: 0.111 s
% 16.59/3.42 % (3393816)Peak memory usage: 89 MB
% 16.59/3.42 % (3393816)Instructions burned: 114 (million)
% 16.59/3.42 % (3393817)Instruction limit reached!
% 16.59/3.42 % (3393817)------------------------------
% 16.59/3.42 % (3393817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.59/3.42 % (3393817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.59/3.42 % (3393817)CaDiCaL version: 2.1.3
% 16.59/3.42 % (3393817)Termination reason: Instruction limit
% 16.59/3.42 % (3393817)Termination phase: Saturation
% 16.59/3.42 % (3393817)Time elapsed: 0.211 s
% 16.59/3.42 % (3393817)Peak memory usage: 90 MB
% 16.59/3.42 % (3393817)Instructions burned: 180 (million)
% 16.59/3.42 % (3393828)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=3071061890:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 16.59/3.42 % (3393828)Refutation not found, incomplete strategy
% 16.59/3.42 % (3393828)------------------------------
% 16.59/3.42 % (3393828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.59/3.42 % (3393828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.59/3.42 % (3393828)CaDiCaL version: 2.1.3
% 16.59/3.42 % (3393828)Termination reason: Refutation not found, incomplete strategy
% 16.59/3.42 % (3393828)Time elapsed: 0.003 s
% 16.59/3.42 % (3393828)Peak memory usage: 88 MB
% 16.59/3.48 % (3393828)Instructions burned: 3 (million)
% 16.59/3.48 % (3393830)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=118757730:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 16.59/3.48 % (3393829)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3587701633: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)
% 16.59/3.48 % (3393829)Refutation not found, incomplete strategy
% 16.59/3.48 % (3393829)------------------------------
% 16.59/3.48 % (3393829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.59/3.48 % (3393829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.59/3.48 % (3393829)CaDiCaL version: 2.1.3
% 16.59/3.48 % (3393829)Termination reason: Refutation not found, incomplete strategy
% 16.59/3.48 % (3393829)Time elapsed: 0.018 s
% 16.59/3.48 % (3393829)Peak memory usage: 88 MB
% 16.59/3.48 % (3393829)Instructions burned: 20 (million)
% 16.59/3.48 % (3393832)lrs+10_64_to=lpo:sil=8000:random_seed=601519913:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 16.59/3.48 % (3393828)------------------------------
% 16.59/3.48 % (3393828)------------------------------
% 16.59/3.48 % (3393832)Instruction limit reached!
% 16.59/3.48 % (3393832)------------------------------
% 16.59/3.48 % (3393832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.59/3.48 % (3393832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.59/3.48 % (3393832)CaDiCaL version: 2.1.3
% 16.59/3.48 % (3393832)Termination reason: Instruction limit
% 16.59/3.48 % (3393832)Termination phase: Saturation
% 16.59/3.48 % (3393832)Time elapsed: 0.107 s
% 16.59/3.48 % (3393832)Peak memory usage: 89 MB
% 16.59/3.48 % (3393832)Instructions burned: 126 (million)
% 16.59/3.48 % (3393830)Instruction limit reached!
% 16.59/3.48 % (3393830)------------------------------
% 16.59/3.48 % (3393830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.59/3.48 % (3393830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.59/3.48 % (3393830)CaDiCaL version: 2.1.3
% 16.59/3.48 % (3393830)Termination reason: Instruction limit
% 16.59/3.48 % (3393830)Termination phase: Saturation
% 16.59/3.48 % (3393830)Time elapsed: 0.212 s
% 16.59/3.48 % (3393830)Peak memory usage: 89 MB
% 16.59/3.48 % (3393830)Instructions burned: 219 (million)
% 16.59/3.48 % (3393837)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=967100375:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 16.59/3.48 % (3393836)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=4205982200:avsq=on:i=194:fgj=on:bd=preordered_2993 on theBenchmark for (2993ds/194Mi)
% 16.59/3.48 % (3393838)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2130297932:i=3394:sd=4:ss=included:sgt=64_2992 on theBenchmark for (2992ds/3394Mi)
% 16.59/3.48 % (3393837)Instruction limit reached!
% 16.59/3.48 % (3393837)------------------------------
% 16.59/3.48 % (3393837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.59/3.48 % (3393837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.59/3.48 % (3393837)CaDiCaL version: 2.1.3
% 16.59/3.48 % (3393837)Termination reason: Instruction limit
% 16.59/3.48 % (3393837)Termination phase: Saturation
% 16.59/3.48 % (3393837)Time elapsed: 0.091 s
% 16.59/3.48 % (3393837)Peak memory usage: 91 MB
% 16.59/3.48 % (3393837)Instructions burned: 159 (million)
% 16.59/3.48 % (3393829)------------------------------
% 16.59/3.48 % (3393829)------------------------------
% 16.59/3.48 % (3393836)Instruction limit reached!
% 16.59/3.48 % (3393836)------------------------------
% 16.59/3.48 % (3393836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.59/3.48 % (3393836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.59/3.48 % (3393836)CaDiCaL version: 2.1.3
% 16.59/3.48 % (3393836)Termination reason: Instruction limit
% 16.59/3.48 % (3393836)Termination phase: Saturation
% 16.59/3.48 % (3393836)Time elapsed: 0.190 s
% 16.59/3.48 % (3393836)Peak memory usage: 90 MB
% 16.59/3.48 % (3393836)Instructions burned: 194 (million)
% 16.59/3.48 % (3393842)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=2734909044:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2990 on theBenchmark for (2990ds/106Mi)
% 16.59/3.48 % (3393842)Instruction limit reached!
% 16.59/3.48 % (3393842)------------------------------
% 16.59/3.48 % (3393842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.59/3.48 % (3393842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.59/3.48 % (3393842)CaDiCaL version: 2.1.3
% 16.59/3.48 % (3393842)Termination reason: Instruction limit
% 16.59/3.48 % (3393842)Termination phase: Saturation
% 16.59/3.48 % (3393842)Time elapsed: 0.060 s
% 16.59/3.48 % (3393842)Peak memory usage: 90 MB
% 16.59/3.48 % (3393842)Instructions burned: 107 (million)
% 16.59/3.48 % (3393843)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1041553115:i=107_2990 on theBenchmark for (2990ds/107Mi)
% 16.59/3.48 % (3393844)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3715289834:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2989 on theBenchmark for (2989ds/242Mi)
% 16.59/3.48 % (3393843)Instruction limit reached!
% 16.59/3.48 % (3393843)------------------------------
% 16.59/3.48 % (3393843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.59/3.48 % (3393843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.59/3.48 % (3393843)CaDiCaL version: 2.1.3
% 16.59/3.48 % (3393843)Termination reason: Instruction limit
% 16.59/3.48 % (3393843)Termination phase: Saturation
% 16.59/3.48 % (3393843)Time elapsed: 0.120 s
% 16.59/3.48 % (3393843)Peak memory usage: 89 MB
% 16.59/3.48 % (3393843)Instructions burned: 107 (million)
% 16.59/3.48 % (3393848)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2574274786:cond=fast:i=5208:av=off_2988 on theBenchmark for (2988ds/5208Mi)
% 16.59/3.48 % (3393844)Instruction limit reached!
% 16.59/3.48 % (3393844)------------------------------
% 16.59/3.48 % (3393844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.59/3.48 % (3393844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.59/3.48 % (3393844)CaDiCaL version: 2.1.3
% 16.59/3.48 % (3393844)Termination reason: Instruction limit
% 16.59/3.48 % (3393844)Termination phase: Saturation
% 16.59/3.48 % (3393844)Time elapsed: 0.251 s
% 16.59/3.48 % (3393844)Peak memory usage: 91 MB
% 16.59/3.48 % (3393844)Instructions burned: 242 (million)
% 16.59/3.48 % (3393853)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=299630217:i=134:sd=2:doe=on:ss=axioms:sgt=14_2986 on theBenchmark for (2986ds/134Mi)
% 16.59/3.48 % (3393853)Refutation not found, incomplete strategy
% 16.59/3.48 % (3393853)------------------------------
% 16.59/3.48 % (3393853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.59/3.48 % (3393853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.59/3.48 % (3393853)CaDiCaL version: 2.1.3
% 16.59/3.48 % (3393853)Termination reason: Refutation not found, incomplete strategy
% 16.59/3.48 % (3393853)Time elapsed: 0.008 s
% 16.59/3.48 % (3393853)Peak memory usage: 88 MB
% 16.59/3.48 % (3393853)Instructions burned: 5 (million)
% 16.59/3.48 % (3393855)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1900049967:i=499:bd=all_2985 on theBenchmark for (2985ds/499Mi)
% 16.59/3.48 % (3393853)------------------------------
% 16.59/3.48 % (3393853)------------------------------
% 16.59/3.48 % (3393848)First to succeed.
% 16.59/3.48 % (3393848)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3393802"
% 16.59/3.48 % (3393858)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1170794492:i=191:fgj=on:bd=all_2980 on theBenchmark for (2980ds/191Mi)
% 16.59/3.48 % (3393855)Instruction limit reached!
% 16.59/3.48 % (3393855)------------------------------
% 16.59/3.48 % (3393855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.59/3.48 % (3393855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.59/3.48 % (3393855)CaDiCaL version: 2.1.3
% 16.59/3.48 % (3393855)Termination reason: Instruction limit
% 16.59/3.48 % (3393855)Termination phase: Saturation
% 16.59/3.48 % (3393855)Time elapsed: 0.493 s
% 16.59/3.48 % (3393855)Peak memory usage: 95 MB
% 16.59/3.48 % (3393855)Instructions burned: 499 (million)
% 16.59/3.48 % (3393858)Instruction limit reached!
% 16.59/3.48 % (3393858)------------------------------
% 16.59/3.48 % (3393858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.59/3.48 % (3393858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.59/3.48 % (3393858)CaDiCaL version: 2.1.3
% 16.59/3.48 % (3393858)Termination reason: Instruction limit
% 16.59/3.48 % (3393858)Termination phase: Saturation
% 16.59/3.48 % (3393858)Time elapsed: 0.188 s
% 16.59/3.48 % (3393858)Peak memory usage: 89 MB
% 16.59/3.48 % (3393858)Instructions burned: 192 (million)
% 16.59/3.48 % (3393848)Refutation found. Thanks to Tanya!
% 16.59/3.48 % SZS status Unsatisfiable for theBenchmark
% 16.59/3.48 % SZS output start Proof for theBenchmark
% See solution above
% 17.79/3.70 % (3393848)------------------------------
% 17.79/3.70 % (3393848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.79/3.70 % (3393848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.79/3.70 % (3393848)CaDiCaL version: 2.1.3
% 17.79/3.70 % (3393848)Termination reason: Refutation
% 17.79/3.70 % (3393848)Time elapsed: 0.847 s
% 17.79/3.70 % (3393848)Peak memory usage: 133 MB
% 17.79/3.70 % (3393848)Instructions burned: 1461 (million)
% 17.79/3.70 % (3393848)------------------------------
% 17.79/3.70 % (3393848)------------------------------
% 17.79/3.70 % (3393802)Success in time 2.409 s
% 17.79/3.70 % Vampire exiting
%------------------------------------------------------------------------------