%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET335-6 : 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 : n004.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 12:40:47 PM UTC 2026
% Result : Unsatisfiable 13.76s 2.89s
% Output : Refutation 14.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 32
% Syntax : Number of formulae : 121 ( 49 unt; 8 def)
% Number of atoms : 243 ( 68 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 246 ( 124 ~; 122 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 12 con; 0-3 aty)
% Number of variables : 192 ( 192 !; 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(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f10,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X1,X0))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair3) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set) ).
fof(f13,axiom,
! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordered_pair) ).
fof(f14,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product1) ).
fof(f15,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product2) ).
fof(f16,axiom,
! [X2,X3,X0,X1] :
( ~ member(X0,X1)
| ~ member(X2,X3)
| member(ordered_pair(X0,X2),cross_product(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product3) ).
fof(f17,axiom,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| ordered_pair(first(X0),second(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product4) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection3) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
fof(f28,axiom,
! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',restriction1) ).
fof(f30,axiom,
! [X0,X1] :
( restrict(X0,singleton(X1),universal_class) != null_class
| ~ member(X1,domain_of(X0)) ),
file('/export/starexec/sandbox/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/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(f36,axiom,
! [X0] : subclass(flip(X0),cross_product(cross_product(universal_class,universal_class),universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',flip1) ).
fof(f37,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(ordered_pair(X0,X1),X2),flip(X3))
| member(ordered_pair(ordered_pair(X1,X0),X2),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',flip2) ).
fof(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(f43,axiom,
! [X0,X1] : range_of(restrict(X0,X1,universal_class)) = image(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',image) ).
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,
intersection(x,domain_of(z)) = null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_image_property1_1) ).
fof(f123,plain,
null_class = intersection(x,domain_of(z)),
inference(reorient_equations,[],[f122]) ).
fof(f124,negated_conjecture,
image(z,x) != null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_image_property1_2) ).
fof(f125,plain,
null_class != image(z,x),
inference(reorient_equations,[],[f124]) ).
fof(f127,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] : image(X0,X1) = domain_of(domain_of(flip(cross_product(intersection(X0,cross_product(X1,universal_class)),universal_class)))),
inference(definition_unfolding,[],[f43,f127,f28]) ).
fof(f130,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(f139,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,f130]) ).
fof(f140,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,f130]) ).
fof(f141,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,f130]) ).
fof(f142,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,f130]) ).
fof(f146,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(f147,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(f150,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,f130,f130,f130,f130]) ).
fof(f188,plain,
null_class != domain_of(domain_of(flip(cross_product(intersection(z,cross_product(x,universal_class)),universal_class)))),
inference(definition_unfolding,[],[f125,f128]) ).
fof(f193,definition,
sF0 = domain_of(z),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f194,plain,
domain_of(z) = sF0,
inference(reorient_equations,[],[f193]) ).
fof(f195,definition,
sF1 = intersection(x,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f196,plain,
intersection(x,sF0) = sF1,
inference(reorient_equations,[],[f195]) ).
fof(f197,plain,
null_class = sF1,
inference(definition_folding,[],[f123,f196,f194]) ).
fof(f198,definition,
sF2 = cross_product(x,universal_class),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f199,plain,
cross_product(x,universal_class) = sF2,
inference(reorient_equations,[],[f198]) ).
fof(f200,definition,
sF3 = intersection(z,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f201,plain,
intersection(z,sF2) = sF3,
inference(reorient_equations,[],[f200]) ).
fof(f202,definition,
sF4 = cross_product(sF3,universal_class),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f203,plain,
cross_product(sF3,universal_class) = sF4,
inference(reorient_equations,[],[f202]) ).
fof(f204,definition,
sF5 = flip(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f205,plain,
flip(sF4) = sF5,
inference(reorient_equations,[],[f204]) ).
fof(f206,definition,
sF6 = domain_of(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f207,plain,
domain_of(sF5) = sF6,
inference(reorient_equations,[],[f206]) ).
fof(f208,definition,
sF7 = domain_of(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f209,plain,
domain_of(sF6) = sF7,
inference(reorient_equations,[],[f208]) ).
fof(f210,plain,
null_class != sF7,
inference(definition_folding,[],[f188,f209,f207,f205,f203,f201,f199]) ).
fof(f211,plain,
null_class = intersection(x,sF0),
inference(forward_demodulation,[],[f196,f197]) ).
fof(f215,plain,
! [X0,X1] :
( member(regular(X0),X1)
| ~ subclass(X0,X1)
| null_class = X0 ),
inference(resolution,[],[f1,f68]) ).
fof(f217,plain,
! [X0,X1] :
( member(regular(intersection(X0,X1)),X0)
| intersection(X0,X1) = null_class ),
inference(resolution,[],[f21,f68]) ).
fof(f220,plain,
! [X0] :
( ~ member(X0,sF3)
| member(X0,z) ),
inference(superposition,[],[f21,f201]) ).
fof(f232,plain,
! [X0] :
( ~ member(X0,sF3)
| member(X0,sF2) ),
inference(superposition,[],[f22,f201]) ).
fof(f240,plain,
! [X2,X3,X0,X1] :
( ~ subclass(intersection(X2,X1),X3)
| ~ member(X0,X2)
| ~ member(X0,X1)
| member(X0,X3) ),
inference(resolution,[],[f23,f1]) ).
fof(f241,plain,
! [X0] :
( ~ member(X0,sF0)
| member(X0,null_class)
| ~ member(X0,x) ),
inference(superposition,[],[f23,f211]) ).
fof(f243,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,f147]) ).
fof(f255,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,[],[f150,f142]) ).
fof(f256,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,cross_product(X1,X2))
| member(second(X0),X2)
| ~ member(X0,cross_product(X3,X4)) ),
inference(superposition,[],[f140,f142]) ).
fof(f257,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,cross_product(X1,X2))
| member(first(X0),X1)
| ~ member(X0,cross_product(X3,X4)) ),
inference(superposition,[],[f139,f142]) ).
fof(f258,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(first(X0),X1) ),
inference(condensation,[],[f257]) ).
fof(f259,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(second(X0),X2) ),
inference(condensation,[],[f256]) ).
fof(f263,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,[],[f141,f142]) ).
fof(f268,plain,
! [X2,X0,X1] :
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,universal_class) ),
inference(resolution,[],[f240,f4]) ).
fof(f273,plain,
! [X2,X0] :
( ~ member(X0,X2)
| member(X0,universal_class) ),
inference(condensation,[],[f268]) ).
fof(f275,plain,
! [X0] :
( member(regular(X0),universal_class)
| null_class = X0 ),
inference(resolution,[],[f273,f68]) ).
fof(f296,plain,
! [X0] :
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(resolution,[],[f24,f68]) ).
fof(f320,plain,
! [X0] :
( member(first(X0),x)
| ~ member(X0,sF2) ),
inference(superposition,[],[f258,f199]) ).
fof(f321,plain,
! [X0] :
( member(first(X0),sF3)
| ~ member(X0,sF4) ),
inference(superposition,[],[f258,f203]) ).
fof(f322,plain,
! [X0] :
( member(first(X0),universal_class)
| ~ member(X0,sF2) ),
inference(resolution,[],[f320,f273]) ).
fof(f324,plain,
! [X0] :
( member(first(X0),sF2)
| ~ member(X0,sF4) ),
inference(resolution,[],[f321,f232]) ).
fof(f325,plain,
! [X0] :
( member(first(X0),z)
| ~ member(X0,sF4) ),
inference(resolution,[],[f321,f220]) ).
fof(f338,plain,
! [X0] :
( member(second(X0),universal_class)
| ~ member(X0,sF2) ),
inference(superposition,[],[f259,f199]) ).
fof(f350,plain,
! [X2,X0,X1] :
( ~ subclass(X0,cross_product(X1,X2))
| null_class = X0
| member(first(regular(X0)),X1) ),
inference(resolution,[],[f215,f258]) ).
fof(f368,plain,
! [X2,X0,X1] :
( member(X0,cross_product(X2,X1))
| ~ member(second(X0),X1)
| ~ member(first(X0),X2)
| ~ member(X0,sF2) ),
inference(superposition,[],[f263,f199]) ).
fof(f402,plain,
! [X0] :
( member(first(regular(flip(X0))),cross_product(universal_class,universal_class))
| null_class = flip(X0) ),
inference(resolution,[],[f36,f350]) ).
fof(f596,plain,
( null_class = complement(universal_class)
| null_class = complement(universal_class) ),
inference(resolution,[],[f296,f275]) ).
fof(f598,plain,
null_class = complement(universal_class),
inference(duplicate_literal_removal,[],[f596]) ).
fof(f601,plain,
! [X0] :
( ~ member(X0,null_class)
| ~ member(X0,universal_class) ),
inference(superposition,[],[f24,f598]) ).
fof(f602,plain,
! [X0] : ~ member(X0,null_class),
inference(forward_subsumption_resolution,[],[f601,f273]) ).
fof(f811,plain,
! [X0] : null_class = intersection(null_class,X0),
inference(resolution,[],[f217,f602]) ).
fof(f861,plain,
! [X0] :
( null_class != null_class
| ~ member(X0,domain_of(null_class)) ),
inference(superposition,[],[f146,f811]) ).
fof(f862,plain,
! [X0] : ~ member(X0,domain_of(null_class)),
inference(trivial_inequality_removal,[],[f861]) ).
fof(f865,plain,
null_class = domain_of(null_class),
inference(resolution,[],[f862,f68]) ).
fof(f1204,plain,
! [X2,X0,X1] :
( ~ member(second(X0),universal_class)
| ~ member(first(X0),unordered_pair(X1,X1))
| ~ member(X0,sF2)
| member(X0,null_class)
| ~ member(X0,X2)
| ~ member(X1,universal_class)
| member(X1,domain_of(X2)) ),
inference(resolution,[],[f368,f243]) ).
fof(f1229,plain,
! [X2,X0,X1] :
( ~ member(first(X0),unordered_pair(X1,X1))
| ~ member(X0,sF2)
| member(X0,null_class)
| ~ member(X0,X2)
| ~ member(X1,universal_class)
| member(X1,domain_of(X2)) ),
inference(forward_subsumption_resolution,[],[f1204,f338]) ).
fof(f1234,plain,
! [X2,X0,X1] :
( ~ member(first(X0),unordered_pair(X1,X1))
| ~ member(X0,sF2)
| ~ member(X0,X2)
| ~ member(X1,universal_class)
| member(X1,domain_of(X2)) ),
inference(forward_subsumption_resolution,[],[f1229,f602]) ).
fof(f1250,plain,
! [X0,X1] :
( ~ member(X0,sF2)
| ~ member(X0,X1)
| ~ member(first(X0),universal_class)
| member(first(X0),domain_of(X1))
| ~ member(first(X0),universal_class) ),
inference(resolution,[],[f1234,f10]) ).
fof(f1252,plain,
! [X0,X1] :
( ~ member(X0,sF2)
| ~ member(X0,X1)
| ~ member(first(X0),universal_class)
| member(first(X0),domain_of(X1)) ),
inference(duplicate_literal_removal,[],[f1250]) ).
fof(f1254,plain,
! [X0,X1] :
( member(first(X0),domain_of(X1))
| ~ member(X0,X1)
| ~ member(X0,sF2) ),
inference(forward_subsumption_resolution,[],[f1252,f322]) ).
fof(f1260,plain,
! [X0] :
( member(first(X0),sF0)
| ~ member(X0,z)
| ~ member(X0,sF2) ),
inference(superposition,[],[f1254,f194]) ).
fof(f1265,plain,
! [X0] :
( ~ member(X0,z)
| ~ member(X0,sF2)
| member(first(X0),null_class)
| ~ member(first(X0),x) ),
inference(resolution,[],[f1260,f241]) ).
fof(f1268,plain,
! [X0] :
( ~ member(X0,z)
| ~ member(X0,sF2)
| member(first(X0),null_class) ),
inference(forward_subsumption_resolution,[],[f1265,f320]) ).
fof(f1270,plain,
! [X0] :
( ~ member(X0,sF2)
| ~ member(X0,z) ),
inference(forward_subsumption_resolution,[],[f1268,f602]) ).
fof(f1273,plain,
! [X0] :
( ~ member(first(X0),z)
| ~ member(X0,sF4) ),
inference(resolution,[],[f1270,f324]) ).
fof(f1285,plain,
! [X0] : ~ member(X0,sF4),
inference(forward_subsumption_resolution,[],[f1273,f325]) ).
fof(f1288,plain,
null_class = sF4,
inference(resolution,[],[f1285,f68]) ).
fof(f1295,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),flip(sF4))
| ~ member(X0,cross_product(X2,X3)) ),
inference(resolution,[],[f1285,f255]) ).
fof(f1299,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF5)
| ~ member(X0,cross_product(X2,X3)) ),
inference(forward_demodulation,[],[f1295,f205]) ).
fof(f1301,plain,
sF5 = flip(null_class),
inference(superposition,[],[f205,f1288]) ).
fof(f1376,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(first(X0),cross_product(X1,X2))
| ~ member(X0,sF5)
| ~ member(X0,cross_product(X3,X4)) ),
inference(superposition,[],[f1299,f142]) ).
fof(f1381,plain,
! [X2,X0,X1] :
( ~ member(regular(flip(X0)),cross_product(X1,X2))
| ~ member(regular(flip(X0)),sF5)
| null_class = flip(X0) ),
inference(resolution,[],[f1376,f402]) ).
fof(f1398,plain,
! [X2,X0,X1] :
( ~ member(regular(flip(X0)),sF5)
| null_class = flip(X0)
| ~ subclass(flip(X0),cross_product(X1,X2))
| null_class = flip(X0) ),
inference(resolution,[],[f1381,f215]) ).
fof(f1410,plain,
! [X2,X0,X1] :
( ~ subclass(flip(X0),cross_product(X1,X2))
| null_class = flip(X0)
| ~ member(regular(flip(X0)),sF5) ),
inference(duplicate_literal_removal,[],[f1398]) ).
fof(f1417,plain,
! [X0] :
( ~ member(regular(flip(X0)),sF5)
| null_class = flip(X0) ),
inference(resolution,[],[f1410,f36]) ).
fof(f1437,plain,
( ~ member(regular(sF5),sF5)
| null_class = flip(null_class) ),
inference(superposition,[],[f1417,f1301]) ).
fof(f1439,plain,
( null_class = sF5
| ~ member(regular(sF5),sF5) ),
inference(forward_demodulation,[],[f1437,f1301]) ).
fof(f1441,plain,
null_class = sF5,
inference(forward_subsumption_resolution,[],[f1439,f68]) ).
fof(f1443,plain,
sF6 = domain_of(null_class),
inference(superposition,[],[f207,f1441]) ).
fof(f1450,plain,
null_class = sF6,
inference(forward_demodulation,[],[f1443,f865]) ).
fof(f1453,plain,
sF7 = domain_of(null_class),
inference(superposition,[],[f209,f1450]) ).
fof(f1454,plain,
null_class = sF7,
inference(forward_demodulation,[],[f1453,f865]) ).
fof(f1455,plain,
$false,
inference(forward_subsumption_resolution,[],[f1454,f210]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET335-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n004.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 01:28:37 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.28/2.48 % (4062616)Input is clausal, will run a generic CNF schedule.
% 11.28/2.48 % (4062624)lrs+10_1_sil=8000:sp=occurrence:random_seed=1625705776:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 11.28/2.48 % (4062624)Instruction limit reached!
% 11.28/2.48 % (4062624)------------------------------
% 11.28/2.48 % (4062624)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.28/2.48 % (4062624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.28/2.48 % (4062624)CaDiCaL version: 2.1.3
% 11.28/2.48 % (4062624)Termination reason: Instruction limit
% 11.28/2.48 % (4062624)Termination phase: Saturation
% 11.28/2.48 % (4062624)Time elapsed: 0.022 s
% 11.28/2.48 % (4062624)Peak memory usage: 88 MB
% 11.28/2.48 % (4062624)Instructions burned: 111 (million)
% 11.28/2.48 % (4062625)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1306018832:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 11.28/2.48 % (4062621)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=1896435269:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 11.28/2.48 % (4062627)dis-21_1_sil=8000:lcm=predicate:random_seed=3765212406:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 11.28/2.48 % (4062623)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2298175389:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 11.28/2.48 % (4062622)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=337578345:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 11.28/2.48 % (4062626)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=169309901:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 11.28/2.48 % (4062627)Instruction limit reached!
% 11.28/2.48 % (4062627)------------------------------
% 11.28/2.48 % (4062627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.28/2.48 % (4062627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.28/2.48 % (4062627)CaDiCaL version: 2.1.3
% 11.28/2.48 % (4062627)Termination reason: Instruction limit
% 11.28/2.48 % (4062627)Termination phase: Saturation
% 11.28/2.48 % (4062627)Time elapsed: 0.067 s
% 11.28/2.48 % (4062627)Peak memory usage: 89 MB
% 11.28/2.48 % (4062627)Instructions burned: 117 (million)
% 11.28/2.48 % (4062625)Instruction limit reached!
% 11.28/2.48 % (4062625)------------------------------
% 11.28/2.48 % (4062625)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.28/2.48 % (4062625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.28/2.48 % (4062625)CaDiCaL version: 2.1.3
% 11.28/2.48 % (4062625)Termination reason: Instruction limit
% 11.28/2.48 % (4062625)Termination phase: Saturation
% 11.28/2.48 % (4062625)Time elapsed: 0.070 s
% 11.28/2.48 % (4062625)Peak memory usage: 89 MB
% 11.28/2.48 % (4062625)Instructions burned: 115 (million)
% 11.28/2.48 % (4062629)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=1730904028:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 11.28/2.48 % (4062626)Instruction limit reached!
% 11.28/2.48 % (4062626)------------------------------
% 11.28/2.48 % (4062626)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.28/2.48 % (4062626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.28/2.48 % (4062626)CaDiCaL version: 2.1.3
% 11.28/2.48 % (4062626)Termination reason: Instruction limit
% 11.28/2.48 % (4062626)Termination phase: Saturation
% 11.28/2.48 % (4062626)Time elapsed: 0.132 s
% 11.28/2.48 % (4062626)Peak memory usage: 90 MB
% 11.28/2.48 % (4062626)Instructions burned: 181 (million)
% 11.28/2.48 % (4062629)Instruction limit reached!
% 11.28/2.48 % (4062629)------------------------------
% 11.28/2.48 % (4062629)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.28/2.48 % (4062629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.28/2.48 % (4062629)CaDiCaL version: 2.1.3
% 11.28/2.48 % (4062629)Termination reason: Instruction limit
% 11.28/2.48 % (4062629)Termination phase: Saturation
% 11.28/2.48 % (4062629)Time elapsed: 0.052 s
% 11.28/2.48 % (4062629)Peak memory usage: 90 MB
% 11.28/2.48 % (4062629)Instructions burned: 143 (million)
% 11.28/2.48 % (4062636)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2588163710: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)
% 13.76/2.88 % (4062637)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2585412319:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 13.76/2.88 % (4062639)lrs+10_64_to=lpo:sil=8000:random_seed=935355938:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 13.76/2.88 % (4062640)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1806811043:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 13.76/2.88 % (4062636)Instruction limit reached!
% 13.76/2.88 % (4062636)------------------------------
% 13.76/2.88 % (4062636)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.76/2.88 % (4062636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.76/2.88 % (4062636)CaDiCaL version: 2.1.3
% 13.76/2.88 % (4062636)Termination reason: Instruction limit
% 13.76/2.88 % (4062636)Termination phase: Saturation
% 13.76/2.88 % (4062636)Time elapsed: 0.107 s
% 13.76/2.88 % (4062636)Peak memory usage: 91 MB
% 13.76/2.88 % (4062636)Instructions burned: 190 (million)
% 13.76/2.88 % (4062637)Instruction limit reached!
% 13.76/2.88 % (4062637)------------------------------
% 13.76/2.88 % (4062637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.76/2.88 % (4062637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.76/2.88 % (4062637)CaDiCaL version: 2.1.3
% 13.76/2.88 % (4062637)Termination reason: Instruction limit
% 13.76/2.88 % (4062637)Termination phase: Saturation
% 13.76/2.88 % (4062637)Time elapsed: 0.140 s
% 13.76/2.88 % (4062637)Peak memory usage: 89 MB
% 13.76/2.88 % (4062637)Instructions burned: 219 (million)
% 13.76/2.88 % (4062640)Instruction limit reached!
% 13.76/2.88 % (4062640)------------------------------
% 13.76/2.88 % (4062640)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.76/2.88 % (4062640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.76/2.88 % (4062640)CaDiCaL version: 2.1.3
% 13.76/2.88 % (4062640)Termination reason: Instruction limit
% 13.76/2.88 % (4062640)Termination phase: Saturation
% 13.76/2.88 % (4062640)Time elapsed: 0.067 s
% 13.76/2.88 % (4062640)Peak memory usage: 90 MB
% 13.76/2.88 % (4062640)Instructions burned: 194 (million)
% 13.76/2.88 % (4062639)Instruction limit reached!
% 13.76/2.88 % (4062639)------------------------------
% 13.76/2.88 % (4062639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.76/2.88 % (4062639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.76/2.88 % (4062639)CaDiCaL version: 2.1.3
% 13.76/2.88 % (4062639)Termination reason: Instruction limit
% 13.76/2.88 % (4062639)Termination phase: Saturation
% 13.76/2.88 % (4062639)Time elapsed: 0.081 s
% 13.76/2.88 % (4062639)Peak memory usage: 89 MB
% 13.76/2.88 % (4062639)Instructions burned: 127 (million)
% 13.76/2.88 % (4062645)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3473925165:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 13.76/2.88 % (4062646)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1167471946:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 13.76/2.88 % (4062647)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=3897718603:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 13.76/2.88 % (4062648)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1908578936:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 13.76/2.88 % (4062648)Refutation not found, incomplete strategy
% 13.76/2.88 % (4062648)------------------------------
% 13.76/2.88 % (4062648)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.76/2.88 % (4062648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.76/2.88 % (4062648)CaDiCaL version: 2.1.3
% 13.76/2.88 % (4062648)Termination reason: Refutation not found, incomplete strategy
% 13.76/2.88 % (4062648)Time elapsed: 0.007 s
% 13.76/2.88 % (4062648)Peak memory usage: 88 MB
% 13.76/2.88 % (4062648)Instructions burned: 10 (million)
% 13.76/2.88 % (4062645)Instruction limit reached!
% 13.76/2.88 % (4062645)------------------------------
% 13.76/2.88 % (4062645)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.76/2.88 % (4062645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.76/2.88 % (4062645)CaDiCaL version: 2.1.3
% 13.76/2.88 % (4062645)Termination reason: Instruction limit
% 13.76/2.88 % (4062645)Termination phase: Saturation
% 13.76/2.88 % (4062645)Time elapsed: 0.109 s
% 13.76/2.88 % (4062645)Peak memory usage: 91 MB
% 13.76/2.88 % (4062645)Instructions burned: 157 (million)
% 13.76/2.88 % (4062647)Instruction limit reached!
% 13.76/2.88 % (4062647)------------------------------
% 13.76/2.88 % (4062647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.76/2.88 % (4062647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.76/2.88 % (4062647)CaDiCaL version: 2.1.3
% 13.76/2.88 % (4062647)Termination reason: Instruction limit
% 13.76/2.88 % (4062647)Termination phase: Saturation
% 13.76/2.88 % (4062647)Time elapsed: 0.064 s
% 13.76/2.88 % (4062647)Peak memory usage: 90 MB
% 13.76/2.88 % (4062647)Instructions burned: 106 (million)
% 13.76/2.88 % (4062654)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3411370081:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 13.76/2.88 % (4062653)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1492840024:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 13.76/2.88 % (4062648)------------------------------
% 13.76/2.88 % (4062648)------------------------------
% 13.76/2.88 % (4062653)Instruction limit reached!
% 13.76/2.88 % (4062653)------------------------------
% 13.76/2.88 % (4062653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.76/2.88 % (4062653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.76/2.88 % (4062653)CaDiCaL version: 2.1.3
% 13.76/2.88 % (4062653)Termination reason: Instruction limit
% 13.76/2.88 % (4062653)Termination phase: Saturation
% 13.76/2.88 % (4062653)Time elapsed: 0.155 s
% 13.76/2.88 % (4062653)Peak memory usage: 91 MB
% 13.76/2.88 % (4062653)Instructions burned: 243 (million)
% 13.76/2.88 % (4062657)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1322371627:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 13.76/2.88 % (4062657)Instruction limit reached!
% 13.76/2.88 % (4062657)------------------------------
% 13.76/2.88 % (4062657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.76/2.88 % (4062657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.76/2.88 % (4062657)CaDiCaL version: 2.1.3
% 13.76/2.88 % (4062657)Termination reason: Instruction limit
% 13.76/2.88 % (4062657)Termination phase: Saturation
% 13.76/2.88 % (4062657)Time elapsed: 0.095 s
% 13.76/2.88 % (4062657)Peak memory usage: 90 MB
% 13.76/2.88 % (4062657)Instructions burned: 134 (million)
% 13.76/2.88 % (4062658)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2954140589:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 13.76/2.88 % (4062660)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=4011111474:i=191:fgj=on:bd=all_2987 on theBenchmark for (2987ds/191Mi)
% 13.76/2.88 % (4062660)Instruction limit reached!
% 13.76/2.88 % (4062660)------------------------------
% 13.76/2.88 % (4062660)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.76/2.88 % (4062660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.76/2.88 % (4062660)CaDiCaL version: 2.1.3
% 13.76/2.88 % (4062660)Termination reason: Instruction limit
% 13.76/2.88 % (4062660)Termination phase: Saturation
% 13.76/2.88 % (4062660)Time elapsed: 0.106 s
% 13.76/2.88 % (4062660)Peak memory usage: 89 MB
% 13.76/2.88 % (4062660)Instructions burned: 191 (million)
% 13.76/2.88 % (4062658)Instruction limit reached!
% 13.76/2.88 % (4062658)------------------------------
% 13.76/2.88 % (4062658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.76/2.88 % (4062658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.76/2.88 % (4062658)CaDiCaL version: 2.1.3
% 13.76/2.88 % (4062658)Termination reason: Instruction limit
% 13.76/2.88 % (4062658)Termination phase: Saturation
% 13.76/2.88 % (4062658)Time elapsed: 0.297 s
% 13.76/2.88 % (4062658)Peak memory usage: 93 MB
% 13.76/2.88 % (4062658)Instructions burned: 500 (million)
% 13.76/2.88 % (4062663)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3578298328:i=264:kws=precedence:fsr=off_2985 on theBenchmark for (2985ds/264Mi)
% 13.76/2.88 % (4062664)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=507570217:cond=on:i=156:bs=on:gtg=exists_all:er=known_2984 on theBenchmark for (2984ds/156Mi)
% 13.76/2.88 % (4062654)First to succeed.
% 13.76/2.88 % (4062654)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4062616"
% 13.76/2.88 % (4062646)Instruction limit reached!
% 13.76/2.88 % (4062646)------------------------------
% 13.76/2.88 % (4062646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.76/2.88 % (4062646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.76/2.88 % (4062646)CaDiCaL version: 2.1.3
% 13.76/2.88 % (4062646)Termination reason: Instruction limit
% 13.76/2.88 % (4062646)Termination phase: Saturation
% 13.76/2.88 % (4062646)Time elapsed: 1.140 s
% 13.76/2.88 % (4062646)Peak memory usage: 149 MB
% 13.76/2.88 % (4062646)Instructions burned: 3397 (million)
% 13.76/2.88 % (4062664)Instruction limit reached!
% 13.76/2.88 % (4062664)------------------------------
% 13.76/2.88 % (4062664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.76/2.88 % (4062664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.76/2.88 % (4062664)CaDiCaL version: 2.1.3
% 13.76/2.88 % (4062664)Termination reason: Instruction limit
% 13.76/2.88 % (4062664)Termination phase: Saturation
% 13.76/2.88 % (4062664)Time elapsed: 0.104 s
% 13.76/2.88 % (4062664)Peak memory usage: 89 MB
% 13.76/2.88 % (4062664)Instructions burned: 157 (million)
% 13.76/2.88 % (4062663)Instruction limit reached!
% 13.76/2.88 % (4062663)------------------------------
% 13.76/2.88 % (4062663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.76/2.88 % (4062663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.76/2.88 % (4062663)CaDiCaL version: 2.1.3
% 13.76/2.88 % (4062663)Termination reason: Instruction limit
% 13.76/2.88 % (4062663)Termination phase: Saturation
% 13.76/2.88 % (4062663)Time elapsed: 0.170 s
% 13.76/2.88 % (4062663)Peak memory usage: 91 MB
% 13.76/2.88 % (4062663)Instructions burned: 264 (million)
% 13.76/2.88 % (4062667)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=497880225:i=3256:kws=precedence:bd=preordered:av=off_2982 on theBenchmark for (2982ds/3256Mi)
% 13.76/2.89 % (4062668)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=2686822123:i=537:av=off:ss=included_2981 on theBenchmark for (2981ds/537Mi)
% 13.76/2.89 % (4062669)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=1853983971:i=180:bd=preordered:av=off_2981 on theBenchmark for (2981ds/180Mi)
% 13.76/2.89 % (4062654)Refutation found. Thanks to Tanya!
% 13.76/2.89 % SZS status Unsatisfiable for theBenchmark
% 13.76/2.89 % SZS output start Proof for theBenchmark
% See solution above
% 14.98/3.09 % (4062654)------------------------------
% 14.98/3.09 % (4062654)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.98/3.09 % (4062654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.98/3.09 % (4062654)CaDiCaL version: 2.1.3
% 14.98/3.09 % (4062654)Termination reason: Refutation
% 14.98/3.09 % (4062654)Time elapsed: 0.870 s
% 14.98/3.09 % (4062654)Peak memory usage: 132 MB
% 14.98/3.09 % (4062654)Instructions burned: 1331 (million)
% 14.98/3.09 % (4062654)------------------------------
% 14.98/3.09 % (4062654)------------------------------
% 14.98/3.09 % (4062616)Success in time 2.041 s
% 14.98/3.09 % Vampire exiting
%------------------------------------------------------------------------------