%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM136-1 : 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 : n010.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 12:11:48 PM UTC 2026
% Result : Unsatisfiable 6.08s 2.30s
% Output : Refutation 10.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 25
% Syntax : Number of formulae : 85 ( 25 unt; 1 def)
% Number of atoms : 187 ( 33 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 205 ( 103 ~; 101 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-3 aty)
% Number of variables : 126 ( 0 sgn 126 !; 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(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(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(f150,axiom,
! [X0] :
( ~ member(X0,ordinal_numbers)
| subclass(sum_class(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordinal_numbers2) ).
fof(f176,negated_conjecture,
member(x,ordinal_numbers),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_transitivity_of_ordinals_1) ).
fof(f177,negated_conjecture,
member(y,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_transitivity_of_ordinals_2) ).
fof(f178,negated_conjecture,
member(z,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_transitivity_of_ordinals_3) ).
fof(f179,negated_conjecture,
~ member(z,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_transitivity_of_ordinals_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(f186,plain,
! [X0] : sum_class(X0) = domain_of(intersection(element_relation,cross_product(universal_class,X0))),
inference(definition_unfolding,[],[f54,f28]) ).
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(f259,plain,
! [X0] :
( subclass(domain_of(intersection(element_relation,cross_product(universal_class,X0))),X0)
| ~ member(X0,ordinal_numbers) ),
inference(definition_unfolding,[],[f150,f186]) ).
fof(f277,plain,
! [X0] :
( ~ subclass(y,X0)
| member(z,X0) ),
inference(resolution,[],[f1,f178]) ).
fof(f279,plain,
member(z,universal_class),
inference(resolution,[],[f277,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(f320,plain,
! [X2,X0,X1] :
( member(not_subclass_element(X0,X1),X2)
| ~ subclass(X0,X2)
| subclass(X0,X1) ),
inference(resolution,[],[f2,f1]) ).
fof(f322,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f2,f21]) ).
fof(f326,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f322,f3]) ).
fof(f334,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f326]) ).
fof(f337,plain,
! [X0] :
( subclass(null_class,X0)
| null_class = X0 ),
inference(superposition,[],[f334,f70]) ).
fof(f364,plain,
! [X0] :
( null_class = X0
| ~ subclass(X0,null_class)
| null_class = X0 ),
inference(resolution,[],[f337,f7]) ).
fof(f365,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0 ),
inference(duplicate_literal_removal,[],[f364]) ).
fof(f366,plain,
! [X0] : null_class = intersection(null_class,X0),
inference(resolution,[],[f365,f334]) ).
fof(f388,plain,
! [X0] :
( null_class != null_class
| ~ member(X0,domain_of(null_class)) ),
inference(superposition,[],[f204,f366]) ).
fof(f389,plain,
! [X0] : ~ member(X0,domain_of(null_class)),
inference(trivial_inequality_removal,[],[f388]) ).
fof(f393,plain,
null_class = domain_of(null_class),
inference(resolution,[],[f389,f68]) ).
fof(f399,plain,
! [X0] : ~ member(X0,null_class),
inference(superposition,[],[f389,f393]) ).
fof(f638,plain,
! [X2,X0,X1] :
( subclass(X0,intersection(X1,X2))
| ~ member(not_subclass_element(X0,intersection(X1,X2)),X1)
| ~ subclass(X0,X2)
| subclass(X0,intersection(X1,X2)) ),
inference(resolution,[],[f316,f320]) ).
fof(f643,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,X2)),X1)
| subclass(X0,intersection(X1,X2))
| ~ subclass(X0,X2) ),
inference(duplicate_literal_removal,[],[f638]) ).
fof(f691,plain,
! [X0,X1] :
( subclass(X0,intersection(X0,X1))
| ~ subclass(X0,X1)
| subclass(X0,intersection(X0,X1)) ),
inference(resolution,[],[f643,f2]) ).
fof(f703,plain,
! [X0,X1] :
( subclass(X0,intersection(X0,X1))
| ~ subclass(X0,X1) ),
inference(duplicate_literal_removal,[],[f691]) ).
fof(f707,plain,
! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(intersection(X0,X1),X0)
| intersection(X0,X1) = X0 ),
inference(resolution,[],[f703,f7]) ).
fof(f714,plain,
! [X0,X1] :
( ~ subclass(X0,X1)
| intersection(X0,X1) = X0 ),
inference(forward_subsumption_resolution,[],[f707,f334]) ).
fof(f715,plain,
! [X0] : intersection(X0,universal_class) = X0,
inference(resolution,[],[f714,f4]) ).
fof(f741,plain,
! [X0,X1] :
( ~ member(X1,X0)
| member(X1,universal_class) ),
inference(superposition,[],[f22,f715]) ).
fof(f876,plain,
! [X0,X1] :
( ~ member(X0,X1)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation)
| ~ member(X1,universal_class)
| ~ member(X0,universal_class) ),
inference(resolution,[],[f202,f199]) ).
fof(f882,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation)
| ~ member(X0,X1)
| ~ member(X1,universal_class) ),
inference(forward_subsumption_resolution,[],[f876,f741]) ).
fof(f2150,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(f3614,plain,
! [X0,X1] :
( ~ member(X1,ordinal_numbers)
| null_class = intersection(intersection(element_relation,cross_product(universal_class,X1)),cross_product(unordered_pair(X0,X0),universal_class))
| member(X0,X1)
| ~ member(X0,universal_class) ),
inference(resolution,[],[f2150,f259]) ).
fof(f3632,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,x)
| null_class = intersection(intersection(element_relation,cross_product(universal_class,x)),cross_product(unordered_pair(X0,X0),universal_class)) ),
inference(resolution,[],[f3614,f176]) ).
fof(f3653,plain,
( member(z,x)
| null_class = intersection(intersection(element_relation,cross_product(universal_class,x)),cross_product(unordered_pair(z,z),universal_class)) ),
inference(resolution,[],[f3632,f279]) ).
fof(f3654,plain,
null_class = intersection(intersection(element_relation,cross_product(universal_class,x)),cross_product(unordered_pair(z,z),universal_class)),
inference(forward_subsumption_resolution,[],[f3653,f179]) ).
fof(f3685,plain,
! [X0] :
( member(X0,null_class)
| ~ member(X0,cross_product(unordered_pair(z,z),universal_class))
| ~ member(X0,intersection(element_relation,cross_product(universal_class,x))) ),
inference(superposition,[],[f23,f3654]) ).
fof(f3721,plain,
! [X0] :
( ~ member(X0,intersection(element_relation,cross_product(universal_class,x)))
| ~ member(X0,cross_product(unordered_pair(z,z),universal_class)) ),
inference(forward_subsumption_resolution,[],[f3685,f399]) ).
fof(f3722,plain,
! [X0] :
( ~ member(X0,cross_product(unordered_pair(z,z),universal_class))
| ~ member(X0,cross_product(universal_class,x))
| ~ member(X0,element_relation) ),
inference(resolution,[],[f3721,f23]) ).
fof(f3758,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,x))
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation)
| ~ member(X1,universal_class)
| ~ member(X0,unordered_pair(z,z)) ),
inference(resolution,[],[f3722,f199]) ).
fof(f3880,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(z,z))
| ~ member(X1,x)
| ~ member(X0,universal_class) ),
inference(resolution,[],[f3758,f199]) ).
fof(f3897,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(z,z))
| ~ member(X1,x) ),
inference(forward_subsumption_resolution,[],[f3880,f741]) ).
fof(f3906,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation)
| ~ member(X0,unordered_pair(z,z))
| ~ member(X1,x) ),
inference(forward_subsumption_resolution,[],[f3897,f741]) ).
fof(f3907,plain,
! [X0,X1] :
( ~ member(X0,unordered_pair(z,z))
| ~ member(X1,x)
| ~ member(X0,X1)
| ~ member(X1,universal_class) ),
inference(resolution,[],[f3906,f882]) ).
fof(f3914,plain,
! [X0,X1] :
( ~ member(X0,unordered_pair(z,z))
| ~ member(X1,x)
| ~ member(X0,X1) ),
inference(forward_subsumption_resolution,[],[f3907,f741]) ).
fof(f3918,plain,
! [X0] :
( ~ member(X0,x)
| ~ member(z,X0)
| ~ member(z,universal_class) ),
inference(resolution,[],[f3914,f10]) ).
fof(f3948,plain,
! [X0] :
( ~ member(X0,x)
| ~ member(z,X0) ),
inference(forward_subsumption_resolution,[],[f3918,f741]) ).
fof(f3950,definition,
( spl0_292
<=> ! [X0] :
( ~ member(X0,x)
| ~ member(z,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_292])],[avatar_definition]) ).
fof(f3951,plain,
( ! [X0] :
( ~ member(z,X0)
| ~ member(X0,x) )
| ~ spl0_292 ),
inference(avatar_component_clause,[],[f3950]) ).
fof(f3954,plain,
spl0_292,
inference(avatar_split_clause,[],[f3948,f3950]) ).
fof(f3956,plain,
( ~ member(y,x)
| ~ spl0_292 ),
inference(resolution,[],[f3951,f178]) ).
fof(f3972,plain,
( $false
| ~ spl0_292 ),
inference(forward_subsumption_resolution,[],[f3956,f177]) ).
fof(f3973,plain,
~ spl0_292,
inference(avatar_contradiction_clause,[],[f3972]) ).
cnf(s236,plain,
spl0_292,
inference(sat_conversion,[],[f3954]) ).
cnf(s238,plain,
~ spl0_292,
inference(sat_conversion,[],[f3973]) ).
cnf(s239,plain,
$false,
inference(rat,[],[s236,s238]) ).
fof(f3976,plain,
$false,
inference(avatar_sat_refutation,[],[s239]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM136-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n010.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 18:59:32 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.39 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
% 6.08/2.30 % (1246056)Input is clausal, will run a generic CNF schedule.
% 6.08/2.30 % (1246063)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=842657698:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.08/2.30 % (1246064)lrs+10_1_sil=8000:sp=occurrence:random_seed=3193959764:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.08/2.30 % (1246062)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1731965308:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.08/2.30 % (1246061)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=3446363934:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.08/2.30 % (1246066)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1182639873:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.08/2.30 % (1246067)dis-21_1_sil=8000:lcm=predicate:random_seed=4217717573: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)
% 6.08/2.30 % (1246065)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1715918569:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.08/2.30 % (1246064)Instruction limit reached!
% 6.08/2.30 % (1246064)------------------------------
% 6.08/2.30 % (1246064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.08/2.30 % (1246064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/2.30 % (1246064)CaDiCaL version: 2.1.3
% 6.08/2.30 % (1246064)Termination reason: Instruction limit
% 6.08/2.30 % (1246064)Termination phase: Saturation
% 6.08/2.30 % (1246064)Time elapsed: 0.063 s
% 6.08/2.30 % (1246064)Peak memory usage: 90 MB
% 6.08/2.30 % (1246064)Instructions burned: 109 (million)
% 6.08/2.30 % (1246067)Instruction limit reached!
% 6.08/2.30 % (1246067)------------------------------
% 6.08/2.30 % (1246067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.08/2.30 % (1246067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/2.30 % (1246067)CaDiCaL version: 2.1.3
% 6.08/2.30 % (1246067)Termination reason: Instruction limit
% 6.08/2.30 % (1246067)Termination phase: Saturation
% 6.08/2.30 % (1246067)Time elapsed: 0.061 s
% 6.08/2.30 % (1246067)Peak memory usage: 89 MB
% 6.08/2.30 % (1246067)Instructions burned: 118 (million)
% 6.08/2.30 % (1246065)Instruction limit reached!
% 6.08/2.30 % (1246065)------------------------------
% 6.08/2.30 % (1246065)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.08/2.30 % (1246065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/2.30 % (1246065)CaDiCaL version: 2.1.3
% 6.08/2.30 % (1246065)Termination reason: Instruction limit
% 6.08/2.30 % (1246065)Termination phase: Saturation
% 6.08/2.30 % (1246065)Time elapsed: 0.071 s
% 6.08/2.30 % (1246065)Peak memory usage: 89 MB
% 6.08/2.30 % (1246065)Instructions burned: 115 (million)
% 6.08/2.30 % (1246066)Instruction limit reached!
% 6.08/2.30 % (1246066)------------------------------
% 6.08/2.30 % (1246066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.08/2.30 % (1246066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/2.30 % (1246066)CaDiCaL version: 2.1.3
% 6.08/2.30 % (1246066)Termination reason: Instruction limit
% 6.08/2.30 % (1246066)Termination phase: Saturation
% 6.08/2.30 % (1246066)Time elapsed: 0.142 s
% 6.08/2.30 % (1246066)Peak memory usage: 91 MB
% 6.08/2.30 % (1246066)Instructions burned: 180 (million)
% 6.08/2.30 % (1246075)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=3075154812:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.08/2.30 % (1246075)Refutation not found, incomplete strategy
% 6.08/2.30 % (1246075)------------------------------
% 6.08/2.30 % (1246075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.08/2.30 % (1246075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/2.30 % (1246075)CaDiCaL version: 2.1.3
% 6.08/2.30 % (1246075)Termination reason: Refutation not found, incomplete strategy
% 6.08/2.30 % (1246075)Time elapsed: 0.005 s
% 6.08/2.30 % (1246075)Peak memory usage: 88 MB
% 6.08/2.30 % (1246075)Instructions burned: 5 (million)
% 6.08/2.30 % (1246076)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3761928213: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)
% 6.08/2.30 % (1246077)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=785456481:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.08/2.30 % (1246078)lrs+10_64_to=lpo:sil=8000:random_seed=411208550:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 6.08/2.30 % (1246076)Instruction limit reached!
% 6.08/2.30 % (1246076)------------------------------
% 6.08/2.30 % (1246076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.08/2.30 % (1246076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/2.30 % (1246076)CaDiCaL version: 2.1.3
% 6.08/2.30 % (1246076)Termination reason: Instruction limit
% 6.08/2.30 % (1246076)Termination phase: Saturation
% 6.08/2.30 % (1246076)Time elapsed: 0.098 s
% 6.08/2.30 % (1246076)Peak memory usage: 90 MB
% 6.08/2.30 % (1246076)Instructions burned: 189 (million)
% 6.08/2.30 % (1246077)Instruction limit reached!
% 6.08/2.30 % (1246077)------------------------------
% 6.08/2.30 % (1246077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.08/2.30 % (1246077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/2.30 % (1246077)CaDiCaL version: 2.1.3
% 6.08/2.30 % (1246077)Termination reason: Instruction limit
% 6.08/2.30 % (1246077)Termination phase: Saturation
% 6.08/2.30 % (1246077)Time elapsed: 0.129 s
% 6.08/2.30 % (1246077)Peak memory usage: 90 MB
% 6.08/2.30 % (1246077)Instructions burned: 221 (million)
% 6.08/2.30 % (1246078)Instruction limit reached!
% 6.08/2.30 % (1246078)------------------------------
% 6.08/2.30 % (1246078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.08/2.30 % (1246078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/2.30 % (1246078)CaDiCaL version: 2.1.3
% 6.08/2.30 % (1246078)Termination reason: Instruction limit
% 6.08/2.30 % (1246078)Termination phase: Saturation
% 6.08/2.30 % (1246078)Time elapsed: 0.080 s
% 6.08/2.30 % (1246078)Peak memory usage: 90 MB
% 6.08/2.30 % (1246078)Instructions burned: 126 (million)
% 6.08/2.30 % (1246075)------------------------------
% 6.08/2.30 % (1246075)------------------------------
% 6.08/2.30 % (1246083)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1498671852:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 6.08/2.30 % (1246084)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=519082740:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 6.08/2.30 % (1246085)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=296169478:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 6.08/2.30 % (1246083)Instruction limit reached!
% 6.08/2.30 % (1246083)------------------------------
% 6.08/2.30 % (1246083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.08/2.30 % (1246083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/2.30 % (1246083)CaDiCaL version: 2.1.3
% 6.08/2.30 % (1246083)Termination reason: Instruction limit
% 6.08/2.30 % (1246083)Termination phase: Saturation
% 6.08/2.30 % (1246083)Time elapsed: 0.095 s
% 6.08/2.30 % (1246083)Peak memory usage: 89 MB
% 6.08/2.30 % (1246083)Instructions burned: 195 (million)
% 6.08/2.30 % (1246087)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=3539726744:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 6.08/2.30 % (1246084)Instruction limit reached!
% 6.08/2.30 % (1246084)------------------------------
% 6.08/2.30 % (1246084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.08/2.30 % (1246084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/2.30 % (1246084)CaDiCaL version: 2.1.3
% 6.08/2.30 % (1246084)Termination reason: Instruction limit
% 6.08/2.30 % (1246084)Termination phase: Saturation
% 6.08/2.30 % (1246084)Time elapsed: 0.111 s
% 6.08/2.30 % (1246084)Peak memory usage: 91 MB
% 6.08/2.30 % (1246084)Instructions burned: 157 (million)
% 6.08/2.30 % (1246087)Instruction limit reached!
% 6.08/2.30 % (1246087)------------------------------
% 6.08/2.30 % (1246087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.08/2.30 % (1246087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/2.30 % (1246087)CaDiCaL version: 2.1.3
% 6.08/2.30 % (1246087)Termination reason: Instruction limit
% 6.08/2.30 % (1246087)Termination phase: Saturation
% 6.08/2.30 % (1246087)Time elapsed: 0.066 s
% 6.08/2.30 % (1246087)Peak memory usage: 90 MB
% 6.08/2.30 % (1246087)Instructions burned: 107 (million)
% 6.08/2.30 % (1246090)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=831821969:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 6.08/2.30 % (1246092)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=412751476:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 6.08/2.30 % (1246090)Instruction limit reached!
% 6.08/2.30 % (1246090)------------------------------
% 6.08/2.30 % (1246090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.08/2.30 % (1246090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/2.30 % (1246090)CaDiCaL version: 2.1.3
% 6.08/2.30 % (1246090)Termination reason: Instruction limit
% 6.08/2.30 % (1246090)Termination phase: Saturation
% 6.08/2.30 % (1246090)Time elapsed: 0.072 s
% 6.08/2.30 % (1246090)Peak memory usage: 90 MB
% 6.08/2.30 % (1246090)Instructions burned: 107 (million)
% 6.08/2.30 % (1246093)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1409711620:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 6.08/2.30 % (1246096)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3006007300:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 6.08/2.30 % (1246092)Instruction limit reached!
% 6.08/2.30 % (1246092)------------------------------
% 6.08/2.30 % (1246092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.08/2.30 % (1246092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/2.30 % (1246092)CaDiCaL version: 2.1.3
% 6.08/2.30 % (1246092)Termination reason: Instruction limit
% 6.08/2.30 % (1246092)Termination phase: Saturation
% 6.08/2.30 % (1246092)Time elapsed: 0.159 s
% 6.08/2.30 % (1246092)Peak memory usage: 90 MB
% 6.08/2.30 % (1246092)Instructions burned: 242 (million)
% 6.08/2.30 % (1246096)Instruction limit reached!
% 6.08/2.30 % (1246096)------------------------------
% 6.08/2.30 % (1246096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.08/2.30 % (1246096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/2.30 % (1246096)CaDiCaL version: 2.1.3
% 6.08/2.30 % (1246096)Termination reason: Instruction limit
% 6.08/2.30 % (1246096)Termination phase: Saturation
% 6.08/2.30 % (1246096)Time elapsed: 0.090 s
% 6.08/2.30 % (1246096)Peak memory usage: 89 MB
% 6.08/2.30 % (1246096)Instructions burned: 134 (million)
% 6.08/2.30 % (1246099)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3560120074:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 6.08/2.30 % (1246061)First to succeed.
% 6.08/2.30 % (1246061)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1246056"
% 6.08/2.30 % (1246100)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=385821996:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 6.08/2.30 % (1246100)Instruction limit reached!
% 6.08/2.30 % (1246100)------------------------------
% 6.08/2.30 % (1246100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.08/2.30 % (1246100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/2.30 % (1246100)CaDiCaL version: 2.1.3
% 6.08/2.30 % (1246100)Termination reason: Instruction limit
% 6.08/2.30 % (1246100)Termination phase: Saturation
% 6.08/2.30 % (1246100)Time elapsed: 0.112 s
% 6.08/2.30 % (1246100)Peak memory usage: 90 MB
% 6.08/2.30 % (1246100)Instructions burned: 192 (million)
% 6.08/2.30 % (1246099)Instruction limit reached!
% 6.08/2.30 % (1246099)------------------------------
% 6.08/2.30 % (1246099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.08/2.30 % (1246099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/2.30 % (1246099)CaDiCaL version: 2.1.3
% 6.08/2.30 % (1246099)Termination reason: Instruction limit
% 6.08/2.30 % (1246099)Termination phase: Saturation
% 6.08/2.30 % (1246099)Time elapsed: 0.286 s
% 6.08/2.30 % (1246099)Peak memory usage: 97 MB
% 6.08/2.30 % (1246099)Instructions burned: 499 (million)
% 6.08/2.30 % (1246061)Refutation found. Thanks to Tanya!
% 6.08/2.30 % SZS status Unsatisfiable for theBenchmark
% 6.08/2.30 % SZS output start Proof for theBenchmark
% See solution above
% 10.90/2.49 % (1246061)------------------------------
% 10.90/2.49 % (1246061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.90/2.49 % (1246061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.90/2.49 % (1246061)CaDiCaL version: 2.1.3
% 10.90/2.49 % (1246061)Termination reason: Refutation
% 10.90/2.49 % (1246061)Time elapsed: 1.063 s
% 10.90/2.49 % (1246061)Peak memory usage: 136 MB
% 10.90/2.49 % (1246061)Instructions burned: 1610 (million)
% 10.90/2.49 % (1246061)------------------------------
% 10.90/2.49 % (1246061)------------------------------
% 10.90/2.49 % (1246056)Success in time 1.472 s
% 10.90/2.49 % Vampire exiting
%------------------------------------------------------------------------------