%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM090-1 : 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 : n013.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 12:11:44 PM UTC 2026
% Result : Unsatisfiable 6.76s 1.78s
% Output : Refutation 8.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 24
% Syntax : Number of formulae : 84 ( 24 unt; 1 def)
% Number of atoms : 193 ( 33 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 217 ( 108 ~; 109 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 8 con; 0-3 aty)
% Number of variables : 136 ( 136 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f10,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X1,X0))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair3) ).
fof(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(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(f20,axiom,
! [X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(universal_class,universal_class))
| ~ member(X0,X1)
| member(ordered_pair(X0,X1),element_relation) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_relation3) ).
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(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(f67,axiom,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity1) ).
fof(f68,plain,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
inference(reorient_equations,[],[f67]) ).
fof(f69,axiom,
! [X0] :
( X0 = null_class
| intersection(X0,regular(X0)) = null_class ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity2) ).
fof(f70,plain,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
inference(reorient_equations,[],[f69]) ).
fof(f147,axiom,
! [X2,X0,X1] :
( ~ section(X0,X1,X2)
| subclass(domain_of(restrict(X0,X2,X1)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',section2) ).
fof(f176,negated_conjecture,
section(element_relation,y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_sections_property1_1) ).
fof(f177,negated_conjecture,
member(u,intersection(v,z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_sections_property1_2) ).
fof(f178,negated_conjecture,
member(v,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_sections_property1_3) ).
fof(f179,negated_conjecture,
~ member(u,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_sections_property1_4) ).
fof(f180,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(f199,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,f180]) ).
fof(f202,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
| ~ member(X0,X1)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation) ),
inference(definition_unfolding,[],[f20,f180,f180]) ).
fof(f204,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(f205,plain,
! [X0,X1] :
( member(X0,domain_of(X1))
| null_class = intersection(X1,cross_product(unordered_pair(X0,X0),universal_class))
| ~ member(X0,universal_class) ),
inference(definition_unfolding,[],[f32,f28,f12]) ).
fof(f257,plain,
! [X2,X0,X1] :
( subclass(domain_of(intersection(X0,cross_product(X2,X1))),X1)
| ~ section(X0,X1,X2) ),
inference(definition_unfolding,[],[f147,f28]) ).
fof(f276,definition,
sF0 = intersection(v,z),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f277,plain,
intersection(v,z) = sF0,
inference(reorient_equations,[],[f276]) ).
fof(f278,plain,
member(u,sF0),
inference(definition_folding,[],[f177,f277]) ).
fof(f280,plain,
! [X0] :
( ~ member(X0,sF0)
| member(X0,v) ),
inference(superposition,[],[f21,f277]) ).
fof(f281,plain,
member(u,v),
inference(resolution,[],[f280,f278]) ).
fof(f282,plain,
! [X0] :
( ~ member(X0,sF0)
| member(X0,z) ),
inference(superposition,[],[f22,f277]) ).
fof(f283,plain,
member(u,z),
inference(resolution,[],[f282,f278]) ).
fof(f285,plain,
! [X0] :
( ~ subclass(sF0,X0)
| member(u,X0) ),
inference(resolution,[],[f1,f278]) ).
fof(f290,plain,
! [X2,X3,X0,X1] :
( ~ subclass(intersection(X2,X1),X3)
| ~ member(X0,X2)
| ~ member(X0,X1)
| member(X0,X3) ),
inference(resolution,[],[f23,f1]) ).
fof(f293,plain,
member(u,universal_class),
inference(resolution,[],[f285,f4]) ).
fof(f295,plain,
! [X2,X0,X1] :
( ~ member(X0,X2)
| ~ member(X0,X1)
| member(X0,universal_class) ),
inference(resolution,[],[f290,f4]) ).
fof(f316,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,X2)),X2)
| subclass(X0,intersection(X1,X2))
| ~ member(not_subclass_element(X0,intersection(X1,X2)),X1) ),
inference(resolution,[],[f3,f23]) ).
fof(f340,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),element_relation)
| ~ member(X1,universal_class)
| ~ member(X1,X0)
| ~ member(X0,universal_class) ),
inference(resolution,[],[f199,f202]) ).
fof(f412,plain,
! [X2,X0,X1] :
( member(not_subclass_element(X0,X1),X2)
| ~ subclass(X0,X2)
| subclass(X0,X1) ),
inference(resolution,[],[f2,f1]) ).
fof(f414,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f2,f21]) ).
fof(f426,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f414,f3]) ).
fof(f439,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f426]) ).
fof(f471,plain,
! [X0] :
( subclass(null_class,X0)
| null_class = X0 ),
inference(superposition,[],[f439,f70]) ).
fof(f478,plain,
! [X0] :
( null_class = X0
| ~ subclass(X0,null_class)
| null_class = X0 ),
inference(resolution,[],[f471,f7]) ).
fof(f479,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0 ),
inference(duplicate_literal_removal,[],[f478]) ).
fof(f480,plain,
! [X0] : null_class = intersection(null_class,X0),
inference(resolution,[],[f479,f439]) ).
fof(f496,plain,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| subclass(X0,intersection(X2,X1))
| subclass(X0,intersection(X2,X1))
| ~ member(not_subclass_element(X0,intersection(X2,X1)),X2) ),
inference(resolution,[],[f412,f316]) ).
fof(f505,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X2,X1)),X2)
| subclass(X0,intersection(X2,X1))
| ~ subclass(X0,X1) ),
inference(duplicate_literal_removal,[],[f496]) ).
fof(f521,plain,
! [X0] :
( null_class != null_class
| ~ member(X0,domain_of(null_class)) ),
inference(superposition,[],[f204,f480]) ).
fof(f522,plain,
! [X0] : ~ member(X0,domain_of(null_class)),
inference(trivial_inequality_removal,[],[f521]) ).
fof(f527,plain,
null_class = domain_of(null_class),
inference(resolution,[],[f522,f68]) ).
fof(f534,plain,
! [X0] : ~ member(X0,null_class),
inference(superposition,[],[f522,f527]) ).
fof(f556,plain,
! [X0,X1] :
( subclass(X0,intersection(X0,X1))
| ~ subclass(X0,X1)
| subclass(X0,intersection(X0,X1)) ),
inference(resolution,[],[f505,f2]) ).
fof(f567,plain,
! [X0,X1] :
( subclass(X0,intersection(X0,X1))
| ~ subclass(X0,X1) ),
inference(duplicate_literal_removal,[],[f556]) ).
fof(f570,plain,
! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(intersection(X0,X1),X0)
| intersection(X0,X1) = X0 ),
inference(resolution,[],[f567,f7]) ).
fof(f580,plain,
! [X0,X1] :
( ~ subclass(X0,X1)
| intersection(X0,X1) = X0 ),
inference(forward_subsumption_resolution,[],[f570,f439]) ).
fof(f600,plain,
! [X0] : intersection(X0,universal_class) = X0,
inference(resolution,[],[f580,f4]) ).
fof(f658,plain,
! [X0,X1] :
( ~ member(X1,X0)
| member(X1,universal_class) ),
inference(superposition,[],[f22,f600]) ).
fof(f815,plain,
! [X2,X0,X1] :
( ~ subclass(domain_of(X0),X2)
| ~ member(X1,universal_class)
| null_class = intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))
| member(X1,X2) ),
inference(resolution,[],[f205,f1]) ).
fof(f955,plain,
! [X2,X3,X0,X1] :
( ~ section(X1,X3,X2)
| null_class = intersection(intersection(X1,cross_product(X2,X3)),cross_product(unordered_pair(X0,X0),universal_class))
| member(X0,X3)
| ~ member(X0,universal_class) ),
inference(resolution,[],[f815,f257]) ).
fof(f960,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,y)
| null_class = intersection(intersection(element_relation,cross_product(z,y)),cross_product(unordered_pair(X0,X0),universal_class)) ),
inference(resolution,[],[f955,f176]) ).
fof(f972,plain,
( member(u,y)
| null_class = intersection(intersection(element_relation,cross_product(z,y)),cross_product(unordered_pair(u,u),universal_class)) ),
inference(resolution,[],[f960,f293]) ).
fof(f974,plain,
null_class = intersection(intersection(element_relation,cross_product(z,y)),cross_product(unordered_pair(u,u),universal_class)),
inference(forward_subsumption_resolution,[],[f972,f179]) ).
fof(f999,plain,
! [X0] :
( member(X0,null_class)
| ~ member(X0,cross_product(unordered_pair(u,u),universal_class))
| ~ member(X0,intersection(element_relation,cross_product(z,y))) ),
inference(superposition,[],[f23,f974]) ).
fof(f1017,plain,
! [X0] :
( ~ member(X0,intersection(element_relation,cross_product(z,y)))
| ~ member(X0,cross_product(unordered_pair(u,u),universal_class)) ),
inference(forward_subsumption_resolution,[],[f999,f534]) ).
fof(f1021,plain,
! [X0] :
( ~ member(X0,cross_product(unordered_pair(u,u),universal_class))
| ~ member(X0,cross_product(z,y))
| ~ member(X0,element_relation) ),
inference(resolution,[],[f1017,f23]) ).
fof(f1051,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(z,y))
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation)
| ~ member(X1,universal_class)
| ~ member(X0,unordered_pair(u,u)) ),
inference(resolution,[],[f1021,f199]) ).
fof(f1077,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation)
| ~ member(X1,universal_class)
| ~ member(X0,unordered_pair(u,u))
| ~ member(X1,y)
| ~ member(X0,z) ),
inference(resolution,[],[f1051,f199]) ).
fof(f1078,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation)
| ~ member(X0,unordered_pair(u,u))
| ~ member(X1,y)
| ~ member(X0,z) ),
inference(forward_subsumption_resolution,[],[f1077,f658]) ).
fof(f1079,plain,
! [X0,X1] :
( ~ member(X0,unordered_pair(u,u))
| ~ member(X1,y)
| ~ member(X0,z)
| ~ member(X0,universal_class)
| ~ member(X0,X1)
| ~ member(X1,universal_class) ),
inference(resolution,[],[f1078,f340]) ).
fof(f1080,plain,
! [X0,X1] :
( ~ member(X0,unordered_pair(u,u))
| ~ member(X1,y)
| ~ member(X0,z)
| ~ member(X0,X1)
| ~ member(X1,universal_class) ),
inference(forward_subsumption_resolution,[],[f1079,f295]) ).
fof(f1081,plain,
! [X0,X1] :
( ~ member(X0,unordered_pair(u,u))
| ~ member(X1,y)
| ~ member(X0,z)
| ~ member(X0,X1) ),
inference(forward_subsumption_resolution,[],[f1080,f658]) ).
fof(f1083,plain,
! [X0] :
( ~ member(X0,y)
| ~ member(u,z)
| ~ member(u,X0)
| ~ member(u,universal_class) ),
inference(resolution,[],[f1081,f10]) ).
fof(f1100,plain,
! [X0] :
( ~ member(X0,y)
| ~ member(u,z)
| ~ member(u,X0) ),
inference(forward_subsumption_resolution,[],[f1083,f295]) ).
fof(f1114,plain,
! [X0] :
( ~ member(u,X0)
| ~ member(X0,y) ),
inference(forward_subsumption_resolution,[],[f1100,f283]) ).
fof(f1118,plain,
~ member(v,y),
inference(resolution,[],[f1114,f281]) ).
fof(f1127,plain,
$false,
inference(forward_subsumption_resolution,[],[f1118,f178]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM090-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.38 % Computer : n013.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 27 18:50:37 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 6.76/1.78 % (486004)Input is clausal, will run a generic CNF schedule.
% 6.76/1.78 % (486014)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3701297696:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.76/1.78 % (486010)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=824874975:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.76/1.78 % (486009)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=177820773:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.76/1.78 % (486013)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2432517926:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.76/1.78 % (486015)dis-21_1_sil=8000:lcm=predicate:random_seed=505244911: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)
% 6.76/1.78 % (486012)lrs+10_1_sil=8000:sp=occurrence:random_seed=3434277991:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.76/1.78 % (486011)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1970657977:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.76/1.78 % (486014)Instruction limit reached!
% 6.76/1.78 % (486014)------------------------------
% 6.76/1.78 % (486014)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.78 % (486014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.78 % (486014)CaDiCaL version: 2.1.3
% 6.76/1.78 % (486014)Termination reason: Instruction limit
% 6.76/1.78 % (486014)Termination phase: Saturation
% 6.76/1.78 % (486014)Time elapsed: 0.071 s
% 6.76/1.78 % (486014)Peak memory usage: 90 MB
% 6.76/1.78 % (486014)Instructions burned: 181 (million)
% 6.76/1.78 % (486012)Instruction limit reached!
% 6.76/1.78 % (486012)------------------------------
% 6.76/1.78 % (486012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.78 % (486012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.78 % (486012)CaDiCaL version: 2.1.3
% 6.76/1.78 % (486012)Termination reason: Instruction limit
% 6.76/1.78 % (486012)Termination phase: Saturation
% 6.76/1.78 % (486012)Time elapsed: 0.061 s
% 6.76/1.78 % (486012)Peak memory usage: 89 MB
% 6.76/1.78 % (486012)Instructions burned: 109 (million)
% 6.76/1.78 % (486015)Instruction limit reached!
% 6.76/1.78 % (486015)------------------------------
% 6.76/1.78 % (486015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.78 % (486015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.78 % (486015)CaDiCaL version: 2.1.3
% 6.76/1.78 % (486015)Termination reason: Instruction limit
% 6.76/1.78 % (486015)Termination phase: Saturation
% 6.76/1.78 % (486015)Time elapsed: 0.067 s
% 6.76/1.78 % (486015)Peak memory usage: 89 MB
% 6.76/1.78 % (486015)Instructions burned: 118 (million)
% 6.76/1.78 % (486013)Instruction limit reached!
% 6.76/1.78 % (486013)------------------------------
% 6.76/1.78 % (486013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.78 % (486013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.78 % (486013)CaDiCaL version: 2.1.3
% 6.76/1.78 % (486013)Termination reason: Instruction limit
% 6.76/1.78 % (486013)Termination phase: Saturation
% 6.76/1.78 % (486013)Time elapsed: 0.071 s
% 6.76/1.78 % (486013)Peak memory usage: 89 MB
% 6.76/1.78 % (486013)Instructions burned: 114 (million)
% 6.76/1.78 % (486024)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3633797634: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)
% 6.76/1.78 % (486025)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=103783563:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.76/1.78 % (486023)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=4065042846:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.76/1.78 % (486023)Refutation not found, incomplete strategy
% 6.76/1.78 % (486023)------------------------------
% 6.76/1.78 % (486023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.78 % (486023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.78 % (486023)CaDiCaL version: 2.1.3
% 6.76/1.78 % (486023)Termination reason: Refutation not found, incomplete strategy
% 6.76/1.78 % (486023)Time elapsed: 0.004 s
% 6.76/1.78 % (486023)Peak memory usage: 88 MB
% 6.76/1.78 % (486023)Instructions burned: 5 (million)
% 6.76/1.78 % (486026)lrs+10_64_to=lpo:sil=8000:random_seed=4264450428:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 6.76/1.78 % (486024)Instruction limit reached!
% 6.76/1.78 % (486024)------------------------------
% 6.76/1.78 % (486024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.78 % (486024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.78 % (486024)CaDiCaL version: 2.1.3
% 6.76/1.78 % (486024)Termination reason: Instruction limit
% 6.76/1.78 % (486024)Termination phase: Saturation
% 6.76/1.78 % (486024)Time elapsed: 0.061 s
% 6.76/1.78 % (486024)Peak memory usage: 91 MB
% 6.76/1.78 % (486024)Instructions burned: 190 (million)
% 6.76/1.78 % (486026)Instruction limit reached!
% 6.76/1.78 % (486026)------------------------------
% 6.76/1.78 % (486026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.78 % (486026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.78 % (486026)CaDiCaL version: 2.1.3
% 6.76/1.78 % (486026)Termination reason: Instruction limit
% 6.76/1.78 % (486026)Termination phase: Saturation
% 6.76/1.78 % (486026)Time elapsed: 0.077 s
% 6.76/1.78 % (486026)Peak memory usage: 90 MB
% 6.76/1.78 % (486026)Instructions burned: 127 (million)
% 6.76/1.78 % (486031)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=861876279:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 6.76/1.78 % (486025)Instruction limit reached!
% 6.76/1.78 % (486025)------------------------------
% 6.76/1.78 % (486025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.78 % (486025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.78 % (486025)CaDiCaL version: 2.1.3
% 6.76/1.78 % (486025)Termination reason: Instruction limit
% 6.76/1.78 % (486025)Termination phase: Saturation
% 6.76/1.78 % (486025)Time elapsed: 0.129 s
% 6.76/1.78 % (486025)Peak memory usage: 90 MB
% 6.76/1.78 % (486025)Instructions burned: 219 (million)
% 6.76/1.78 % (486031)Instruction limit reached!
% 6.76/1.78 % (486031)------------------------------
% 6.76/1.78 % (486031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.78 % (486031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.78 % (486031)CaDiCaL version: 2.1.3
% 6.76/1.78 % (486031)Termination reason: Instruction limit
% 6.76/1.78 % (486031)Termination phase: Saturation
% 6.76/1.78 % (486031)Time elapsed: 0.051 s
% 6.76/1.78 % (486031)Peak memory usage: 89 MB
% 6.76/1.78 % (486031)Instructions burned: 198 (million)
% 6.76/1.78 % (486032)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2017841060:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 6.76/1.78 % (486034)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=986846831:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 6.76/1.78 % (486023)------------------------------
% 6.76/1.78 % (486023)------------------------------
% 6.76/1.78 % (486035)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=1764333489:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 6.76/1.78 % (486035)Instruction limit reached!
% 6.76/1.78 % (486035)------------------------------
% 6.76/1.78 % (486035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.78 % (486035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.78 % (486035)CaDiCaL version: 2.1.3
% 6.76/1.78 % (486035)Termination reason: Instruction limit
% 6.76/1.78 % (486035)Termination phase: Saturation
% 6.76/1.78 % (486035)Time elapsed: 0.034 s
% 6.76/1.78 % (486035)Peak memory usage: 89 MB
% 6.76/1.78 % (486035)Instructions burned: 108 (million)
% 6.76/1.78 % (486032)Instruction limit reached!
% 6.76/1.78 % (486032)------------------------------
% 6.76/1.78 % (486032)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.78 % (486032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.78 % (486032)CaDiCaL version: 2.1.3
% 6.76/1.78 % (486032)Termination reason: Instruction limit
% 6.76/1.78 % (486032)Termination phase: Saturation
% 6.76/1.78 % (486032)Time elapsed: 0.115 s
% 6.76/1.78 % (486032)Peak memory usage: 91 MB
% 6.76/1.78 % (486032)Instructions burned: 158 (million)
% 6.76/1.78 % (486040)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2806825629:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 6.76/1.78 % (486039)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3093171891:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 6.76/1.78 % (486039)Instruction limit reached!
% 6.76/1.78 % (486039)------------------------------
% 6.76/1.78 % (486039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.78 % (486039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.78 % (486039)CaDiCaL version: 2.1.3
% 6.76/1.78 % (486039)Termination reason: Instruction limit
% 6.76/1.78 % (486039)Termination phase: Saturation
% 6.76/1.78 % (486039)Time elapsed: 0.074 s
% 6.76/1.78 % (486039)Peak memory usage: 89 MB
% 6.76/1.78 % (486039)Instructions burned: 107 (million)
% 6.76/1.78 % (486041)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=4116480882:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 6.76/1.78 % (486040)Instruction limit reached!
% 6.76/1.78 % (486040)------------------------------
% 6.76/1.78 % (486040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.78 % (486040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.78 % (486040)CaDiCaL version: 2.1.3
% 6.76/1.78 % (486040)Termination reason: Instruction limit
% 6.76/1.78 % (486040)Termination phase: Saturation
% 6.76/1.78 % (486040)Time elapsed: 0.087 s
% 6.76/1.78 % (486040)Peak memory usage: 90 MB
% 6.76/1.78 % (486040)Instructions burned: 243 (million)
% 6.76/1.78 % (486046)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=4286270820:i=499:bd=all_2991 on theBenchmark for (2991ds/499Mi)
% 6.76/1.78 % (486009)First to succeed.
% 6.76/1.78 % (486009)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-486004"
% 6.76/1.78 % (486044)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=128553365:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 6.76/1.78 % (486044)Instruction limit reached!
% 6.76/1.78 % (486044)------------------------------
% 6.76/1.78 % (486044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.78 % (486044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.78 % (486044)CaDiCaL version: 2.1.3
% 6.76/1.78 % (486044)Termination reason: Instruction limit
% 6.76/1.78 % (486044)Termination phase: Saturation
% 6.76/1.78 % (486044)Time elapsed: 0.085 s
% 6.76/1.78 % (486044)Peak memory usage: 89 MB
% 6.76/1.78 % (486044)Instructions burned: 135 (million)
% 6.76/1.78 % (486046)Instruction limit reached!
% 6.76/1.78 % (486046)------------------------------
% 6.76/1.78 % (486046)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.78 % (486046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.78 % (486046)CaDiCaL version: 2.1.3
% 6.76/1.78 % (486046)Termination reason: Instruction limit
% 6.76/1.78 % (486046)Termination phase: Saturation
% 6.76/1.78 % (486046)Time elapsed: 0.156 s
% 6.76/1.78 % (486046)Peak memory usage: 96 MB
% 6.76/1.78 % (486046)Instructions burned: 500 (million)
% 6.76/1.78 % (486051)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=323057604:i=264:kws=precedence:fsr=off_2989 on theBenchmark for (2989ds/264Mi)
% 6.76/1.78 % (486009)Refutation found. Thanks to Tanya!
% 6.76/1.78 % SZS status Unsatisfiable for theBenchmark
% 6.76/1.78 % SZS output start Proof for theBenchmark
% See solution above
% 8.59/1.98 % (486009)------------------------------
% 8.59/1.98 % (486009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.59/1.98 % (486009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/1.98 % (486009)CaDiCaL version: 2.1.3
% 8.59/1.98 % (486009)Termination reason: Refutation
% 8.59/1.98 % (486009)Time elapsed: 0.769 s
% 8.59/1.98 % (486009)Peak memory usage: 130 MB
% 8.59/1.98 % (486009)Instructions burned: 1156 (million)
% 8.59/1.98 % (486009)------------------------------
% 8.59/1.98 % (486009)------------------------------
% 8.59/1.98 % (486004)Success in time 1.165 s
% 8.59/1.98 % Vampire exiting
%------------------------------------------------------------------------------