%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM098-1 : 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 : 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 12:11:45 PM UTC 2026
% Result : Unsatisfiable 15.71s 3.10s
% Output : Refutation 16.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 27
% Syntax : Number of formulae : 84 ( 30 unt; 0 def)
% Number of atoms : 161 ( 51 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 147 ( 70 ~; 77 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 5 con; 0-3 aty)
% Number of variables : 139 ( 139 !; 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(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(f8,axiom,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_member) ).
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(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(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(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union) ).
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(f29,axiom,
! [X2,X0,X1] : intersection(cross_product(X0,X1),X2) = restrict(X2,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',restriction2) ).
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(f39,axiom,
! [X0] : domain_of(flip(cross_product(X0,universal_class))) = inverse(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f54,axiom,
! [X0] : domain_of(restrict(element_relation,universal_class,X0)) = sum_class(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_class_definition) ).
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,axiom,
! [X0] : union(X0,inverse(X0)) = symmetrization_of(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetrization) ).
fof(f126,axiom,
! [X0,X1] :
( ~ subclass(cross_product(X0,X0),union(identity_relation,symmetrization_of(X1)))
| connected(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',connected2) ).
fof(f141,axiom,
! [X0,X1] :
( ~ connected(X0,X1)
| not_well_ordering(X0,X1) != null_class
| well_ordering(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_ordering6) ).
fof(f142,plain,
! [X0,X1] :
( null_class != not_well_ordering(X0,X1)
| ~ connected(X0,X1)
| well_ordering(X0,X1) ),
inference(reorient_equations,[],[f141]) ).
fof(f143,axiom,
! [X0,X1] :
( subclass(not_well_ordering(X0,X1),X1)
| ~ connected(X0,X1)
| well_ordering(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_ordering7) ).
fof(f151,axiom,
! [X0] :
( ~ well_ordering(element_relation,X0)
| ~ subclass(sum_class(X0),X0)
| ~ member(X0,universal_class)
| member(X0,ordinal_numbers) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordinal_numbers3) ).
fof(f176,negated_conjecture,
~ member(null_class,ordinal_numbers),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ordinal_property1_1) ).
fof(f177,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(f183,plain,
! [X0] : sum_class(X0) = domain_of(intersection(element_relation,cross_product(universal_class,X0))),
inference(definition_unfolding,[],[f54,f28]) ).
fof(f190,plain,
! [X0] : symmetrization_of(X0) = complement(intersection(complement(X0),complement(domain_of(flip(cross_product(X0,universal_class)))))),
inference(definition_unfolding,[],[f122,f26,f39]) ).
fof(f194,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,f177]) ).
fof(f195,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,f177]) ).
fof(f197,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,f177]) ).
fof(f200,plain,
! [X2,X0,X1] : intersection(cross_product(X0,X1),X2) = intersection(X2,cross_product(X0,X1)),
inference(definition_unfolding,[],[f29,f28]) ).
fof(f201,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(f246,plain,
! [X0,X1] :
( ~ subclass(cross_product(X0,X0),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(X1),complement(domain_of(flip(cross_product(X1,universal_class))))))))))
| connected(X1,X0) ),
inference(definition_unfolding,[],[f126,f26,f190]) ).
fof(f257,plain,
! [X0] :
( ~ subclass(domain_of(intersection(element_relation,cross_product(universal_class,X0))),X0)
| ~ well_ordering(element_relation,X0)
| ~ member(X0,universal_class)
| member(X0,ordinal_numbers) ),
inference(definition_unfolding,[],[f151,f183]) ).
fof(f278,plain,
! [X0] :
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(resolution,[],[f68,f24]) ).
fof(f280,plain,
! [X0,X1] :
( regular(unordered_pair(X0,X1)) = X1
| regular(unordered_pair(X0,X1)) = X0
| unordered_pair(X0,X1) = null_class ),
inference(resolution,[],[f8,f68]) ).
fof(f281,plain,
! [X2,X3,X0,X1] :
( ~ subclass(intersection(X2,X1),X3)
| ~ member(X0,X2)
| ~ member(X0,X1)
| member(X0,X3) ),
inference(resolution,[],[f23,f1]) ).
fof(f284,plain,
! [X2,X0,X1] :
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,universal_class) ),
inference(resolution,[],[f281,f4]) ).
fof(f286,plain,
! [X2,X0] :
( ~ member(X0,X2)
| member(X0,universal_class) ),
inference(condensation,[],[f284]) ).
fof(f288,plain,
! [X0] :
( member(regular(X0),universal_class)
| null_class = X0 ),
inference(resolution,[],[f286,f68]) ).
fof(f300,plain,
! [X0,X1] :
( X0 != X1
| regular(unordered_pair(X0,X1)) = X0
| unordered_pair(X0,X1) = null_class ),
inference(equality_factoring,[],[f280]) ).
fof(f306,plain,
! [X0,X1] :
( member(regular(intersection(X0,X1)),X0)
| intersection(X0,X1) = null_class ),
inference(resolution,[],[f21,f68]) ).
fof(f356,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,cross_product(X1,X2))
| member(second(X0),X2)
| ~ member(X0,cross_product(X3,X4)) ),
inference(superposition,[],[f195,f197]) ).
fof(f357,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(second(X0),X2) ),
inference(condensation,[],[f356]) ).
fof(f358,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,cross_product(X1,X2))
| member(first(X0),X1)
| ~ member(X0,cross_product(X3,X4)) ),
inference(superposition,[],[f194,f197]) ).
fof(f359,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(first(X0),X1) ),
inference(condensation,[],[f358]) ).
fof(f383,plain,
! [X0,X1] :
( member(second(regular(cross_product(X0,X1))),X1)
| cross_product(X0,X1) = null_class ),
inference(resolution,[],[f357,f68]) ).
fof(f412,plain,
( null_class = complement(universal_class)
| null_class = complement(universal_class) ),
inference(resolution,[],[f278,f288]) ).
fof(f415,plain,
null_class = complement(universal_class),
inference(duplicate_literal_removal,[],[f412]) ).
fof(f420,plain,
! [X0] :
( ~ member(X0,null_class)
| ~ member(X0,universal_class) ),
inference(superposition,[],[f24,f415]) ).
fof(f421,plain,
! [X0] : ~ member(X0,null_class),
inference(forward_subsumption_resolution,[],[f420,f286]) ).
fof(f423,plain,
! [X0] : subclass(null_class,X0),
inference(resolution,[],[f421,f2]) ).
fof(f427,plain,
! [X0] : null_class = cross_product(X0,null_class),
inference(resolution,[],[f421,f383]) ).
fof(f431,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0 ),
inference(resolution,[],[f423,f7]) ).
fof(f450,plain,
! [X1] : intersection(null_class,X1) = intersection(X1,null_class),
inference(superposition,[],[f200,f427]) ).
fof(f464,plain,
! [X0,X1] :
( member(first(regular(cross_product(X0,X1))),X0)
| cross_product(X0,X1) = null_class ),
inference(resolution,[],[f359,f68]) ).
fof(f480,plain,
! [X0] : null_class = cross_product(null_class,X0),
inference(resolution,[],[f464,f421]) ).
fof(f585,plain,
! [X0] :
( regular(unordered_pair(X0,X0)) = X0
| unordered_pair(X0,X0) = null_class ),
inference(equality_resolution,[],[f300]) ).
fof(f588,plain,
! [X0] :
( member(X0,universal_class)
| unordered_pair(X0,X0) = null_class
| unordered_pair(X0,X0) = null_class ),
inference(superposition,[],[f288,f585]) ).
fof(f593,plain,
! [X0] :
( unordered_pair(X0,X0) = null_class
| member(X0,universal_class) ),
inference(duplicate_literal_removal,[],[f588]) ).
fof(f604,plain,
! [X0] :
( member(null_class,universal_class)
| member(X0,universal_class) ),
inference(superposition,[],[f11,f593]) ).
fof(f628,plain,
member(null_class,universal_class),
inference(condensation,[],[f604]) ).
fof(f712,plain,
! [X0] : null_class = intersection(null_class,X0),
inference(resolution,[],[f306,f421]) ).
fof(f723,plain,
! [X0] : null_class = intersection(X0,null_class),
inference(superposition,[],[f450,f712]) ).
fof(f729,plain,
! [X0] :
( null_class != null_class
| ~ member(X0,domain_of(null_class)) ),
inference(superposition,[],[f201,f712]) ).
fof(f730,plain,
! [X0] : ~ member(X0,domain_of(null_class)),
inference(trivial_inequality_removal,[],[f729]) ).
fof(f736,plain,
null_class = domain_of(null_class),
inference(resolution,[],[f730,f68]) ).
fof(f915,plain,
( ~ subclass(domain_of(intersection(element_relation,null_class)),null_class)
| ~ well_ordering(element_relation,null_class)
| ~ member(null_class,universal_class)
| member(null_class,ordinal_numbers) ),
inference(superposition,[],[f257,f427]) ).
fof(f918,plain,
( ~ subclass(domain_of(intersection(element_relation,null_class)),null_class)
| ~ well_ordering(element_relation,null_class)
| member(null_class,ordinal_numbers) ),
inference(forward_subsumption_resolution,[],[f915,f628]) ).
fof(f921,plain,
( ~ subclass(domain_of(intersection(element_relation,null_class)),null_class)
| ~ well_ordering(element_relation,null_class) ),
inference(forward_subsumption_resolution,[],[f918,f176]) ).
fof(f924,plain,
( ~ subclass(domain_of(null_class),null_class)
| ~ well_ordering(element_relation,null_class) ),
inference(forward_demodulation,[],[f921,f723]) ).
fof(f927,plain,
( ~ subclass(null_class,null_class)
| ~ well_ordering(element_relation,null_class) ),
inference(forward_demodulation,[],[f924,f736]) ).
fof(f929,plain,
~ well_ordering(element_relation,null_class),
inference(forward_subsumption_resolution,[],[f927,f423]) ).
fof(f1092,plain,
! [X0] :
( null_class = not_well_ordering(X0,null_class)
| ~ connected(X0,null_class)
| well_ordering(X0,null_class) ),
inference(resolution,[],[f431,f143]) ).
fof(f1093,plain,
! [X0] :
( ~ connected(X0,null_class)
| well_ordering(X0,null_class) ),
inference(forward_subsumption_resolution,[],[f1092,f142]) ).
fof(f2980,plain,
! [X0] :
( ~ subclass(null_class,complement(intersection(complement(identity_relation),complement(complement(intersection(complement(X0),complement(domain_of(flip(cross_product(X0,universal_class))))))))))
| connected(X0,null_class) ),
inference(superposition,[],[f246,f480]) ).
fof(f2992,plain,
! [X0] : connected(X0,null_class),
inference(forward_subsumption_resolution,[],[f2980,f423]) ).
fof(f3004,plain,
! [X0] : well_ordering(X0,null_class),
inference(resolution,[],[f2992,f1093]) ).
fof(f3006,plain,
$false,
inference(resolution,[],[f3004,f929]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM098-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n004.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 27 18:52:22 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 11.09/2.42 % (3811456)Input is clausal, will run a generic CNF schedule.
% 11.09/2.42 % (3811465)lrs+10_1_sil=8000:sp=occurrence:random_seed=1184515877:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 11.09/2.42 % (3811465)Instruction limit reached!
% 11.09/2.42 % (3811465)------------------------------
% 11.09/2.42 % (3811465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.09/2.42 % (3811465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.09/2.42 % (3811465)CaDiCaL version: 2.1.3
% 11.09/2.42 % (3811465)Termination reason: Instruction limit
% 11.09/2.42 % (3811465)Termination phase: Saturation
% 11.09/2.42 % (3811465)Time elapsed: 0.024 s
% 11.09/2.42 % (3811465)Peak memory usage: 88 MB
% 11.09/2.42 % (3811465)Instructions burned: 113 (million)
% 11.09/2.42 % (3811467)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3503369753:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 11.09/2.42 % (3811463)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1591020954:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 11.09/2.42 % (3811468)dis-21_1_sil=8000:lcm=predicate:random_seed=1318941526: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)
% 11.09/2.42 % (3811464)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3736250206:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 11.09/2.42 % (3811466)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=199544978:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 11.09/2.42 % (3811462)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=3691296413:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 11.09/2.42 % (3811468)Instruction limit reached!
% 11.09/2.42 % (3811468)------------------------------
% 11.09/2.42 % (3811468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.09/2.42 % (3811468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.09/2.42 % (3811468)CaDiCaL version: 2.1.3
% 11.09/2.42 % (3811468)Termination reason: Instruction limit
% 11.09/2.42 % (3811468)Termination phase: Saturation
% 11.09/2.42 % (3811468)Time elapsed: 0.060 s
% 11.09/2.42 % (3811468)Peak memory usage: 89 MB
% 11.09/2.42 % (3811468)Instructions burned: 117 (million)
% 11.09/2.42 % (3811466)Instruction limit reached!
% 11.09/2.42 % (3811466)------------------------------
% 11.09/2.42 % (3811466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.09/2.42 % (3811466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.09/2.42 % (3811466)CaDiCaL version: 2.1.3
% 11.09/2.42 % (3811466)Termination reason: Instruction limit
% 11.09/2.42 % (3811466)Termination phase: Saturation
% 11.09/2.42 % (3811466)Time elapsed: 0.072 s
% 11.09/2.42 % (3811466)Peak memory usage: 89 MB
% 11.09/2.42 % (3811466)Instructions burned: 115 (million)
% 11.09/2.42 % (3811470)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=4011246322:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 11.09/2.42 % (3811470)Refutation not found, incomplete strategy
% 11.09/2.42 % (3811470)------------------------------
% 11.09/2.42 % (3811470)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.09/2.42 % (3811470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.09/2.42 % (3811470)CaDiCaL version: 2.1.3
% 11.09/2.42 % (3811470)Termination reason: Refutation not found, incomplete strategy
% 11.09/2.42 % (3811470)Time elapsed: 0.002 s
% 11.09/2.42 % (3811470)Peak memory usage: 88 MB
% 11.09/2.42 % (3811470)Instructions burned: 4 (million)
% 11.09/2.42 % (3811467)Instruction limit reached!
% 11.09/2.42 % (3811467)------------------------------
% 11.09/2.42 % (3811467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.09/2.42 % (3811467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.09/2.42 % (3811467)CaDiCaL version: 2.1.3
% 11.09/2.42 % (3811467)Termination reason: Instruction limit
% 11.09/2.42 % (3811467)Termination phase: Saturation
% 11.09/2.42 % (3811467)Time elapsed: 0.134 s
% 11.09/2.42 % (3811467)Peak memory usage: 90 MB
% 11.09/2.42 % (3811467)Instructions burned: 181 (million)
% 11.09/2.42 % (3811477)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3417051289: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)
% 15.71/3.10 % (3811478)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1545745707:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 15.71/3.10 % (3811470)------------------------------
% 15.71/3.10 % (3811470)------------------------------
% 15.71/3.10 % (3811480)lrs+10_64_to=lpo:sil=8000:random_seed=3086892034:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 15.71/3.10 % (3811477)Instruction limit reached!
% 15.71/3.10 % (3811477)------------------------------
% 15.71/3.10 % (3811477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.71/3.10 % (3811477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.71/3.10 % (3811477)CaDiCaL version: 2.1.3
% 15.71/3.10 % (3811477)Termination reason: Instruction limit
% 15.71/3.10 % (3811477)Termination phase: Saturation
% 15.71/3.10 % (3811477)Time elapsed: 0.106 s
% 15.71/3.10 % (3811477)Peak memory usage: 90 MB
% 15.71/3.10 % (3811477)Instructions burned: 191 (million)
% 15.71/3.10 % (3811480)Instruction limit reached!
% 15.71/3.10 % (3811480)------------------------------
% 15.71/3.10 % (3811480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.71/3.10 % (3811480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.71/3.10 % (3811480)CaDiCaL version: 2.1.3
% 15.71/3.10 % (3811480)Termination reason: Instruction limit
% 15.71/3.10 % (3811480)Termination phase: Saturation
% 15.71/3.10 % (3811480)Time elapsed: 0.082 s
% 15.71/3.10 % (3811480)Peak memory usage: 89 MB
% 15.71/3.10 % (3811480)Instructions burned: 126 (million)
% 15.71/3.10 % (3811478)Instruction limit reached!
% 15.71/3.10 % (3811478)------------------------------
% 15.71/3.10 % (3811478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.71/3.10 % (3811478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.71/3.10 % (3811478)CaDiCaL version: 2.1.3
% 15.71/3.10 % (3811478)Termination reason: Instruction limit
% 15.71/3.10 % (3811478)Termination phase: Saturation
% 15.71/3.10 % (3811478)Time elapsed: 0.143 s
% 15.71/3.10 % (3811478)Peak memory usage: 90 MB
% 15.71/3.10 % (3811478)Instructions burned: 220 (million)
% 15.71/3.10 % (3811483)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=858769967:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 15.71/3.10 % (3811483)Instruction limit reached!
% 15.71/3.10 % (3811483)------------------------------
% 15.71/3.10 % (3811483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.71/3.10 % (3811483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.71/3.10 % (3811483)CaDiCaL version: 2.1.3
% 15.71/3.10 % (3811483)Termination reason: Instruction limit
% 15.71/3.10 % (3811483)Termination phase: Saturation
% 15.71/3.10 % (3811483)Time elapsed: 0.071 s
% 15.71/3.10 % (3811483)Peak memory usage: 90 MB
% 15.71/3.10 % (3811483)Instructions burned: 194 (million)
% 15.71/3.10 % (3811485)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2872085049:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 15.71/3.10 % (3811486)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2762560120:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 15.71/3.10 % (3811487)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=3765979791:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 15.71/3.10 % (3811489)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3553938195:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 15.71/3.10 % (3811489)Refutation not found, incomplete strategy
% 15.71/3.10 % (3811489)------------------------------
% 15.71/3.10 % (3811489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.71/3.10 % (3811489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.71/3.10 % (3811489)CaDiCaL version: 2.1.3
% 15.71/3.10 % (3811489)Termination reason: Refutation not found, incomplete strategy
% 15.71/3.10 % (3811489)Time elapsed: 0.003 s
% 15.71/3.10 % (3811489)Peak memory usage: 88 MB
% 15.71/3.10 % (3811489)Instructions burned: 11 (million)
% 15.71/3.10 % (3811485)Instruction limit reached!
% 15.71/3.10 % (3811485)------------------------------
% 15.71/3.10 % (3811485)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.71/3.10 % (3811485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.71/3.10 % (3811485)CaDiCaL version: 2.1.3
% 15.71/3.10 % (3811485)Termination reason: Instruction limit
% 15.71/3.10 % (3811485)Termination phase: Saturation
% 15.71/3.10 % (3811485)Time elapsed: 0.113 s
% 15.71/3.10 % (3811485)Peak memory usage: 91 MB
% 15.71/3.10 % (3811485)Instructions burned: 158 (million)
% 15.71/3.10 % (3811487)Instruction limit reached!
% 15.71/3.10 % (3811487)------------------------------
% 15.71/3.10 % (3811487)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.71/3.10 % (3811487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.71/3.10 % (3811487)CaDiCaL version: 2.1.3
% 15.71/3.10 % (3811487)Termination reason: Instruction limit
% 15.71/3.10 % (3811487)Termination phase: Saturation
% 15.71/3.10 % (3811487)Time elapsed: 0.067 s
% 15.71/3.10 % (3811487)Peak memory usage: 90 MB
% 15.71/3.10 % (3811487)Instructions burned: 106 (million)
% 15.71/3.10 % (3811489)------------------------------
% 15.71/3.10 % (3811489)------------------------------
% 15.71/3.10 % (3811494)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=921721202:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 15.71/3.10 % (3811495)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1134266987:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 15.71/3.10 % (3811496)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2239185489:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 15.71/3.10 % (3811496)Refutation not found, incomplete strategy
% 15.71/3.10 % (3811496)------------------------------
% 15.71/3.10 % (3811496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.71/3.10 % (3811496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.71/3.10 % (3811496)CaDiCaL version: 2.1.3
% 15.71/3.10 % (3811496)Termination reason: Refutation not found, incomplete strategy
% 15.71/3.10 % (3811496)Time elapsed: 0.004 s
% 15.71/3.10 % (3811496)Peak memory usage: 88 MB
% 15.71/3.10 % (3811496)Instructions burned: 9 (million)
% 15.71/3.10 % (3811494)Instruction limit reached!
% 15.71/3.10 % (3811494)------------------------------
% 15.71/3.10 % (3811494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.71/3.10 % (3811494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.71/3.10 % (3811494)CaDiCaL version: 2.1.3
% 15.71/3.10 % (3811494)Termination reason: Instruction limit
% 15.71/3.10 % (3811494)Termination phase: Saturation
% 15.71/3.10 % (3811494)Time elapsed: 0.135 s
% 15.71/3.10 % (3811494)Peak memory usage: 91 MB
% 15.71/3.10 % (3811494)Instructions burned: 243 (million)
% 15.71/3.10 % (3811496)------------------------------
% 15.71/3.10 % (3811496)------------------------------
% 15.71/3.10 % (3811500)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2060274937:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 15.71/3.10 % (3811501)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2572667409:i=191:fgj=on:bd=all_2988 on theBenchmark for (2988ds/191Mi)
% 15.71/3.10 % (3811501)Instruction limit reached!
% 15.71/3.10 % (3811501)------------------------------
% 15.71/3.10 % (3811501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.71/3.10 % (3811501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.71/3.10 % (3811501)CaDiCaL version: 2.1.3
% 15.71/3.10 % (3811501)Termination reason: Instruction limit
% 15.71/3.10 % (3811501)Termination phase: Saturation
% 15.71/3.10 % (3811501)Time elapsed: 0.057 s
% 15.71/3.10 % (3811501)Peak memory usage: 89 MB
% 15.71/3.10 % (3811501)Instructions burned: 195 (million)
% 15.71/3.10 % (3811504)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2656056070:i=264:kws=precedence:fsr=off_2986 on theBenchmark for (2986ds/264Mi)
% 15.71/3.10 % (3811500)Instruction limit reached!
% 15.71/3.10 % (3811500)------------------------------
% 15.71/3.10 % (3811500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.71/3.10 % (3811500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.71/3.10 % (3811500)CaDiCaL version: 2.1.3
% 15.71/3.10 % (3811500)Termination reason: Instruction limit
% 15.71/3.10 % (3811500)Termination phase: Saturation
% 15.71/3.10 % (3811500)Time elapsed: 0.314 s
% 15.71/3.10 % (3811500)Peak memory usage: 92 MB
% 15.71/3.10 % (3811500)Instructions burned: 500 (million)
% 15.71/3.10 % (3811504)Instruction limit reached!
% 15.71/3.10 % (3811504)------------------------------
% 15.71/3.10 % (3811504)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.71/3.10 % (3811504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.71/3.10 % (3811504)CaDiCaL version: 2.1.3
% 15.71/3.10 % (3811504)Termination reason: Instruction limit
% 15.71/3.10 % (3811504)Termination phase: Saturation
% 15.71/3.10 % (3811504)Time elapsed: 0.091 s
% 15.71/3.10 % (3811504)Peak memory usage: 91 MB
% 15.71/3.10 % (3811504)Instructions burned: 269 (million)
% 15.71/3.10 % (3811506)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=2547351192:cond=on:i=156:bs=on:gtg=exists_all:er=known_2984 on theBenchmark for (2984ds/156Mi)
% 15.71/3.10 % (3811507)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=2630652922:i=3256:kws=precedence:bd=preordered:av=off_2983 on theBenchmark for (2983ds/3256Mi)
% 15.71/3.10 % (3811506)Instruction limit reached!
% 15.71/3.10 % (3811506)------------------------------
% 15.71/3.10 % (3811506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.71/3.10 % (3811506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.71/3.10 % (3811506)CaDiCaL version: 2.1.3
% 15.71/3.10 % (3811506)Termination reason: Instruction limit
% 15.71/3.10 % (3811506)Termination phase: Saturation
% 15.71/3.10 % (3811506)Time elapsed: 0.091 s
% 15.71/3.10 % (3811506)Peak memory usage: 89 MB
% 15.71/3.10 % (3811506)Instructions burned: 158 (million)
% 15.71/3.10 % (3811495)First to succeed.
% 15.71/3.10 % (3811495)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3811456"
% 15.71/3.10 % (3811510)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=158214823:i=537:av=off:ss=included_2981 on theBenchmark for (2981ds/537Mi)
% 15.71/3.10 % (3811510)Instruction limit reached!
% 15.71/3.10 % (3811510)------------------------------
% 15.71/3.10 % (3811510)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.71/3.10 % (3811510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.71/3.10 % (3811510)CaDiCaL version: 2.1.3
% 15.71/3.10 % (3811510)Termination reason: Instruction limit
% 15.71/3.10 % (3811510)Termination phase: Saturation
% 15.71/3.10 % (3811510)Time elapsed: 0.189 s
% 15.71/3.10 % (3811510)Peak memory usage: 87 MB
% 15.71/3.10 % (3811510)Instructions burned: 538 (million)
% 15.71/3.10 % (3811495)Refutation found. Thanks to Tanya!
% 15.71/3.10 % SZS status Unsatisfiable for theBenchmark
% 15.71/3.10 % SZS output start Proof for theBenchmark
% See solution above
% 16.39/3.31 % (3811495)------------------------------
% 16.39/3.31 % (3811495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.39/3.31 % (3811495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.39/3.31 % (3811495)CaDiCaL version: 2.1.3
% 16.39/3.31 % (3811495)Termination reason: Refutation
% 16.39/3.31 % (3811495)Time elapsed: 1.018 s
% 16.39/3.31 % (3811495)Peak memory usage: 134 MB
% 16.39/3.31 % (3811495)Instructions burned: 1566 (million)
% 16.39/3.31 % (3811495)------------------------------
% 16.39/3.31 % (3811495)------------------------------
% 16.39/3.31 % (3811456)Success in time 2.233 s
% 16.39/3.31 % Vampire exiting
%------------------------------------------------------------------------------