%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM154-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 12:11:50 PM UTC 2026
% Result : Unsatisfiable 8.49s 2.09s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 27
% Syntax : Number of formulae : 116 ( 45 unt; 7 def)
% Number of atoms : 212 ( 61 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 169 ( 73 ~; 94 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 8 con; 0-3 aty)
% Number of variables : 118 ( 0 sgn 118 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair2) ).
fof(f11,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pairs_in_universal) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).
fof(f25,axiom,
! [X0,X1] :
( member(X0,complement(X1))
| ~ member(X0,universal_class)
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement2) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union) ).
fof(f28,axiom,
! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',domain1) ).
fof(f44,axiom,
! [X0] : union(X0,singleton(X0)) = successor(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor) ).
fof(f67,axiom,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',regularity2) ).
fof(f70,plain,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
inference(reorient_equations,[],[f69]) ).
fof(f176,negated_conjecture,
successor(x) = null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_5_to_successor_property1_1) ).
fof(f177,plain,
null_class = successor(x),
inference(reorient_equations,[],[f176]) ).
fof(f183,plain,
! [X0] : successor(X0) = complement(intersection(complement(X0),complement(unordered_pair(X0,X0)))),
inference(definition_unfolding,[],[f44,f26,f12]) ).
fof(f202,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(f268,plain,
null_class = complement(intersection(complement(x),complement(unordered_pair(x,x)))),
inference(definition_unfolding,[],[f177,f183]) ).
fof(f275,definition,
sF0 = complement(x),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f276,plain,
complement(x) = sF0,
inference(reorient_equations,[],[f275]) ).
fof(f277,definition,
sF1 = unordered_pair(x,x),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f278,plain,
unordered_pair(x,x) = sF1,
inference(reorient_equations,[],[f277]) ).
fof(f279,definition,
sF2 = complement(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f280,plain,
complement(sF1) = sF2,
inference(reorient_equations,[],[f279]) ).
fof(f281,definition,
sF3 = intersection(sF0,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f282,plain,
intersection(sF0,sF2) = sF3,
inference(reorient_equations,[],[f281]) ).
fof(f283,definition,
sF4 = complement(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f284,plain,
complement(sF3) = sF4,
inference(reorient_equations,[],[f283]) ).
fof(f285,plain,
null_class = sF4,
inference(definition_folding,[],[f268,f284,f282,f280,f278,f276]) ).
fof(f286,plain,
null_class = complement(sF3),
inference(forward_demodulation,[],[f284,f285]) ).
fof(f287,plain,
! [X0] :
( ~ member(X0,sF3)
| member(X0,sF0) ),
inference(superposition,[],[f21,f282]) ).
fof(f288,plain,
! [X0] :
( ~ member(X0,sF3)
| member(X0,sF2) ),
inference(superposition,[],[f22,f282]) ).
fof(f289,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,null_class)
| member(X0,sF3) ),
inference(superposition,[],[f25,f286]) ).
fof(f294,plain,
! [X0] :
( ~ member(X0,sF0)
| ~ member(X0,x) ),
inference(superposition,[],[f24,f276]) ).
fof(f295,plain,
! [X0] :
( ~ member(X0,sF2)
| ~ member(X0,sF1) ),
inference(superposition,[],[f24,f280]) ).
fof(f304,plain,
! [X2,X0,X1] :
( member(not_subclass_element(X0,X1),X2)
| ~ subclass(X0,X2)
| subclass(X0,X1) ),
inference(resolution,[],[f2,f1]) ).
fof(f308,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X1)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f2,f22]) ).
fof(f309,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f2,f21]) ).
fof(f319,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(f322,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f309,f3]) ).
fof(f339,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f322]) ).
fof(f340,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X1)
| subclass(intersection(X0,X1),X1) ),
inference(resolution,[],[f308,f3]) ).
fof(f357,plain,
! [X0,X1] : subclass(intersection(X0,X1),X1),
inference(duplicate_literal_removal,[],[f340]) ).
fof(f370,plain,
! [X0] :
( subclass(null_class,X0)
| null_class = X0 ),
inference(superposition,[],[f339,f70]) ).
fof(f380,plain,
! [X0,X1] :
( ~ subclass(X0,universal_class)
| subclass(X0,X1)
| member(not_subclass_element(X0,X1),null_class)
| member(not_subclass_element(X0,X1),sF3) ),
inference(resolution,[],[f304,f289]) ).
fof(f392,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),null_class)
| subclass(X0,X1)
| member(not_subclass_element(X0,X1),sF3) ),
inference(forward_subsumption_resolution,[],[f380,f4]) ).
fof(f415,plain,
! [X0,X1] :
( subclass(X0,intersection(X1,X0))
| ~ member(not_subclass_element(X0,intersection(X1,X0)),X1)
| subclass(X0,intersection(X1,X0)) ),
inference(resolution,[],[f319,f2]) ).
fof(f418,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,[],[f319,f304]) ).
fof(f429,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,[],[f418]) ).
fof(f432,plain,
! [X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,X0)),X1)
| subclass(X0,intersection(X1,X0)) ),
inference(duplicate_literal_removal,[],[f415]) ).
fof(f495,plain,
! [X0] :
( null_class = X0
| ~ subclass(X0,null_class)
| null_class = X0 ),
inference(resolution,[],[f370,f7]) ).
fof(f496,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0 ),
inference(duplicate_literal_removal,[],[f495]) ).
fof(f522,plain,
! [X0,X1] :
( subclass(X0,intersection(X0,X1))
| ~ subclass(X0,X1)
| subclass(X0,intersection(X0,X1)) ),
inference(resolution,[],[f429,f2]) ).
fof(f539,plain,
! [X0,X1] :
( subclass(X0,intersection(X0,X1))
| ~ subclass(X0,X1) ),
inference(duplicate_literal_removal,[],[f522]) ).
fof(f540,plain,
! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(intersection(X0,X1),X0)
| intersection(X0,X1) = X0 ),
inference(resolution,[],[f539,f7]) ).
fof(f554,plain,
! [X0,X1] :
( ~ subclass(X0,X1)
| intersection(X0,X1) = X0 ),
inference(forward_subsumption_resolution,[],[f540,f339]) ).
fof(f555,plain,
! [X0] : intersection(X0,universal_class) = X0,
inference(resolution,[],[f554,f4]) ).
fof(f614,plain,
! [X0] : null_class = intersection(null_class,X0),
inference(resolution,[],[f496,f339]) ).
fof(f629,plain,
! [X0] :
( null_class != null_class
| ~ member(X0,domain_of(null_class)) ),
inference(superposition,[],[f202,f614]) ).
fof(f632,plain,
! [X0] : ~ member(X0,domain_of(null_class)),
inference(trivial_inequality_removal,[],[f629]) ).
fof(f661,plain,
null_class = domain_of(null_class),
inference(resolution,[],[f68,f632]) ).
fof(f711,definition,
( spl5_14
<=> null_class = sF1 ),
introduced(definition,[new_symbols(definition,[spl5_14])],[avatar_definition]) ).
fof(f713,plain,
( null_class = sF1
| ~ spl5_14 ),
inference(avatar_component_clause,[],[f711]) ).
fof(f734,definition,
( spl5_19
<=> universal_class = null_class ),
introduced(definition,[new_symbols(definition,[spl5_19])],[avatar_definition]) ).
fof(f735,plain,
( universal_class != null_class
| spl5_19 ),
inference(avatar_component_clause,[],[f734]) ).
fof(f736,plain,
( universal_class = null_class
| ~ spl5_19 ),
inference(avatar_component_clause,[],[f734]) ).
fof(f753,plain,
! [X0] : ~ member(X0,null_class),
inference(superposition,[],[f632,f661]) ).
fof(f774,plain,
( ! [X0] : ~ member(X0,universal_class)
| ~ spl5_19 ),
inference(forward_demodulation,[],[f753,f736]) ).
fof(f782,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),sF3)
| subclass(X0,X1) ),
inference(resolution,[],[f753,f392]) ).
fof(f795,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),sF2)
| subclass(X0,X1) ),
inference(resolution,[],[f782,f288]) ).
fof(f796,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),sF0)
| subclass(X0,X1) ),
inference(resolution,[],[f782,f287]) ).
fof(f814,plain,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),sF1)
| subclass(X0,X1) ),
inference(resolution,[],[f795,f295]) ).
fof(f827,plain,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),x)
| subclass(X0,X1) ),
inference(resolution,[],[f796,f294]) ).
fof(f837,plain,
! [X0] :
( subclass(x,X0)
| subclass(x,X0) ),
inference(resolution,[],[f827,f2]) ).
fof(f846,plain,
! [X0] : subclass(x,X0),
inference(duplicate_literal_removal,[],[f837]) ).
fof(f849,plain,
! [X0] :
( subclass(sF1,X0)
| subclass(sF1,X0) ),
inference(resolution,[],[f814,f2]) ).
fof(f858,plain,
! [X0] : subclass(sF1,X0),
inference(duplicate_literal_removal,[],[f849]) ).
fof(f892,plain,
null_class = x,
inference(resolution,[],[f846,f496]) ).
fof(f900,plain,
unordered_pair(null_class,null_class) = sF1,
inference(superposition,[],[f278,f892]) ).
fof(f928,plain,
null_class = sF1,
inference(resolution,[],[f858,f496]) ).
fof(f929,plain,
spl5_14,
inference(avatar_split_clause,[],[f928,f711]) ).
fof(f940,plain,
( ! [X0] : ~ member(X0,sF1)
| ~ spl5_14 ),
inference(superposition,[],[f753,f713]) ).
fof(f1014,plain,
( member(null_class,sF1)
| ~ member(null_class,universal_class) ),
inference(superposition,[],[f9,f900]) ).
fof(f1018,plain,
( ~ member(null_class,universal_class)
| ~ spl5_14 ),
inference(forward_subsumption_resolution,[],[f1014,f940]) ).
fof(f1021,plain,
( ~ member(sF1,universal_class)
| ~ spl5_14 ),
inference(forward_demodulation,[],[f1018,f713]) ).
fof(f1159,plain,
! [X0] :
( subclass(X0,intersection(sF0,X0))
| subclass(X0,intersection(sF0,X0)) ),
inference(resolution,[],[f432,f796]) ).
fof(f1177,plain,
! [X0] : subclass(X0,intersection(sF0,X0)),
inference(duplicate_literal_removal,[],[f1159]) ).
fof(f1239,plain,
! [X0] :
( ~ subclass(intersection(sF0,X0),X0)
| intersection(sF0,X0) = X0 ),
inference(resolution,[],[f1177,f7]) ).
fof(f1250,plain,
! [X0] : intersection(sF0,X0) = X0,
inference(forward_subsumption_resolution,[],[f1239,f357]) ).
fof(f1282,plain,
universal_class = sF0,
inference(superposition,[],[f555,f1250]) ).
fof(f1285,plain,
( null_class = regular(sF0)
| null_class = sF0 ),
inference(superposition,[],[f70,f1250]) ).
fof(f1287,plain,
( sF1 = regular(sF0)
| null_class = sF0
| ~ spl5_14 ),
inference(forward_demodulation,[],[f1285,f713]) ).
fof(f1295,plain,
( sF1 = regular(universal_class)
| null_class = sF0
| ~ spl5_14 ),
inference(forward_demodulation,[],[f1287,f1282]) ).
fof(f1298,plain,
( universal_class = null_class
| sF1 = regular(universal_class)
| ~ spl5_14 ),
inference(forward_demodulation,[],[f1295,f1282]) ).
fof(f1300,plain,
( sF1 = regular(universal_class)
| ~ spl5_14
| spl5_19 ),
inference(forward_subsumption_resolution,[],[f1298,f735]) ).
fof(f1361,plain,
( member(sF1,universal_class)
| universal_class = null_class
| ~ spl5_14
| spl5_19 ),
inference(superposition,[],[f68,f1300]) ).
fof(f1364,plain,
( universal_class = null_class
| ~ spl5_14
| spl5_19 ),
inference(forward_subsumption_resolution,[],[f1361,f1021]) ).
fof(f1366,plain,
( $false
| ~ spl5_14
| spl5_19 ),
inference(forward_subsumption_resolution,[],[f1364,f735]) ).
fof(f1367,plain,
( ~ spl5_14
| spl5_19 ),
inference(avatar_contradiction_clause,[],[f1366]) ).
fof(f2837,plain,
member(sF1,universal_class),
inference(superposition,[],[f11,f278]) ).
fof(f2863,plain,
( $false
| ~ spl5_19 ),
inference(forward_subsumption_resolution,[],[f2837,f774]) ).
fof(f2864,plain,
~ spl5_19,
inference(avatar_contradiction_clause,[],[f2863]) ).
cnf(s20,plain,
spl5_14,
inference(sat_conversion,[],[f929]) ).
cnf(s25,plain,
( ~ spl5_14
| spl5_19 ),
inference(sat_conversion,[],[f1367]) ).
cnf(s49,plain,
~ spl5_19,
inference(sat_conversion,[],[f2864]) ).
cnf(s57,plain,
~ spl5_14,
inference(rat,[],[s25,s49]) ).
cnf(s58,plain,
$false,
inference(rat,[],[s20,s57]) ).
fof(f2883,plain,
$false,
inference(avatar_sat_refutation,[],[s58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM154-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 % Computer : n003.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Sun Sep 27 19:03:42 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.44 Running first-order theorem proving
% 0.11/0.44 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.49/2.09 % (862919)Input is clausal, will run a generic CNF schedule.
% 8.49/2.09 % (862925)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2202507414:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.49/2.09 % (862929)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3921995115:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.49/2.09 % (862924)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=362476147:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.49/2.09 % (862928)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2410540658:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.49/2.09 % (862927)lrs+10_1_sil=8000:sp=occurrence:random_seed=3678504878:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.49/2.09 % (862930)dis-21_1_sil=8000:lcm=predicate:random_seed=2457988524: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)
% 8.49/2.09 % (862926)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2899920758:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.49/2.09 % (862930)Instruction limit reached!
% 8.49/2.09 % (862930)------------------------------
% 8.49/2.09 % (862930)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/2.09 % (862930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/2.09 % (862930)CaDiCaL version: 2.1.3
% 8.49/2.09 % (862930)Termination reason: Instruction limit
% 8.49/2.09 % (862930)Termination phase: Saturation
% 8.49/2.09 % (862930)Time elapsed: 0.064 s
% 8.49/2.09 % (862930)Peak memory usage: 89 MB
% 8.49/2.09 % (862930)Instructions burned: 118 (million)
% 8.49/2.09 % (862927)Instruction limit reached!
% 8.49/2.09 % (862927)------------------------------
% 8.49/2.09 % (862927)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/2.09 % (862927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/2.09 % (862927)CaDiCaL version: 2.1.3
% 8.49/2.09 % (862927)Termination reason: Instruction limit
% 8.49/2.09 % (862927)Termination phase: Saturation
% 8.49/2.09 % (862927)Time elapsed: 0.071 s
% 8.49/2.09 % (862927)Peak memory usage: 89 MB
% 8.49/2.09 % (862927)Instructions burned: 107 (million)
% 8.49/2.09 % (862928)Instruction limit reached!
% 8.49/2.09 % (862928)------------------------------
% 8.49/2.09 % (862928)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/2.09 % (862928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/2.09 % (862928)CaDiCaL version: 2.1.3
% 8.49/2.09 % (862928)Termination reason: Instruction limit
% 8.49/2.09 % (862928)Termination phase: Saturation
% 8.49/2.09 % (862928)Time elapsed: 0.073 s
% 8.49/2.09 % (862928)Peak memory usage: 88 MB
% 8.49/2.09 % (862928)Instructions burned: 116 (million)
% 8.49/2.09 % (862929)Instruction limit reached!
% 8.49/2.09 % (862929)------------------------------
% 8.49/2.09 % (862929)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/2.09 % (862929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/2.09 % (862929)CaDiCaL version: 2.1.3
% 8.49/2.09 % (862929)Termination reason: Instruction limit
% 8.49/2.09 % (862929)Termination phase: Saturation
% 8.49/2.09 % (862929)Time elapsed: 0.132 s
% 8.49/2.09 % (862929)Peak memory usage: 91 MB
% 8.49/2.09 % (862929)Instructions burned: 180 (million)
% 8.49/2.09 % (862940)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3312541912:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 8.49/2.09 % (862939)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2363612163: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)
% 8.49/2.09 % (862938)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=1698779264:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 8.49/2.09 % (862938)Refutation not found, incomplete strategy
% 8.49/2.09 % (862938)------------------------------
% 8.49/2.09 % (862938)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/2.09 % (862938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/2.09 % (862938)CaDiCaL version: 2.1.3
% 8.49/2.09 % (862938)Termination reason: Refutation not found, incomplete strategy
% 8.49/2.09 % (862938)Time elapsed: 0.003 s
% 8.49/2.09 % (862938)Peak memory usage: 88 MB
% 8.49/2.09 % (862938)Instructions burned: 2 (million)
% 8.49/2.09 % (862941)lrs+10_64_to=lpo:sil=8000:random_seed=2654445744:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 8.49/2.09 % (862939)Instruction limit reached!
% 8.49/2.09 % (862939)------------------------------
% 8.49/2.09 % (862939)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/2.09 % (862939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/2.09 % (862939)CaDiCaL version: 2.1.3
% 8.49/2.09 % (862939)Termination reason: Instruction limit
% 8.49/2.09 % (862939)Termination phase: Saturation
% 8.49/2.09 % (862939)Time elapsed: 0.099 s
% 8.49/2.09 % (862939)Peak memory usage: 90 MB
% 8.49/2.09 % (862939)Instructions burned: 189 (million)
% 8.49/2.09 % (862941)Instruction limit reached!
% 8.49/2.09 % (862941)------------------------------
% 8.49/2.09 % (862941)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/2.09 % (862941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/2.09 % (862941)CaDiCaL version: 2.1.3
% 8.49/2.09 % (862941)Termination reason: Instruction limit
% 8.49/2.09 % (862941)Termination phase: Saturation
% 8.49/2.09 % (862941)Time elapsed: 0.078 s
% 8.49/2.09 % (862941)Peak memory usage: 89 MB
% 8.49/2.09 % (862941)Instructions burned: 127 (million)
% 8.49/2.09 % (862940)Instruction limit reached!
% 8.49/2.09 % (862940)------------------------------
% 8.49/2.09 % (862940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/2.09 % (862940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/2.09 % (862940)CaDiCaL version: 2.1.3
% 8.49/2.09 % (862940)Termination reason: Instruction limit
% 8.49/2.09 % (862940)Termination phase: Saturation
% 8.49/2.09 % (862940)Time elapsed: 0.143 s
% 8.49/2.09 % (862940)Peak memory usage: 90 MB
% 8.49/2.09 % (862940)Instructions burned: 220 (million)
% 8.49/2.09 % (862938)------------------------------
% 8.49/2.09 % (862938)------------------------------
% 8.49/2.09 % (862946)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1391820279:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 8.49/2.09 % (862947)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4031844582:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 8.49/2.09 % (862948)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3466882129:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 8.49/2.09 % (862946)Instruction limit reached!
% 8.49/2.09 % (862946)------------------------------
% 8.49/2.09 % (862946)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/2.09 % (862946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/2.09 % (862946)CaDiCaL version: 2.1.3
% 8.49/2.09 % (862946)Termination reason: Instruction limit
% 8.49/2.09 % (862946)Termination phase: Saturation
% 8.49/2.09 % (862946)Time elapsed: 0.119 s
% 8.49/2.09 % (862946)Peak memory usage: 90 MB
% 8.49/2.09 % (862946)Instructions burned: 196 (million)
% 8.49/2.09 % (862947)Instruction limit reached!
% 8.49/2.09 % (862947)------------------------------
% 8.49/2.09 % (862947)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/2.09 % (862947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/2.09 % (862947)CaDiCaL version: 2.1.3
% 8.49/2.09 % (862947)Termination reason: Instruction limit
% 8.49/2.09 % (862947)Termination phase: Saturation
% 8.49/2.09 % (862947)Time elapsed: 0.110 s
% 8.49/2.09 % (862947)Peak memory usage: 91 MB
% 8.49/2.09 % (862947)Instructions burned: 158 (million)
% 8.49/2.09 % (862950)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=2128016794:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 8.49/2.09 % (862950)Instruction limit reached!
% 8.49/2.09 % (862950)------------------------------
% 8.49/2.09 % (862950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/2.09 % (862950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/2.09 % (862950)CaDiCaL version: 2.1.3
% 8.49/2.09 % (862950)Termination reason: Instruction limit
% 8.49/2.09 % (862950)Termination phase: Saturation
% 8.49/2.09 % (862950)Time elapsed: 0.050 s
% 8.49/2.09 % (862950)Peak memory usage: 94 MB
% 8.49/2.09 % (862950)Instructions burned: 107 (million)
% 8.49/2.09 % (862953)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2499394429:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 8.49/2.09 % (862924)First to succeed.
% 8.49/2.09 % (862924)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-862919"
% 8.49/2.09 % (862955)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2440409302:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 8.49/2.09 % (862953)Instruction limit reached!
% 8.49/2.09 % (862953)------------------------------
% 8.49/2.09 % (862953)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/2.09 % (862953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/2.09 % (862953)CaDiCaL version: 2.1.3
% 8.49/2.09 % (862953)Termination reason: Instruction limit
% 8.49/2.09 % (862953)Termination phase: Saturation
% 8.49/2.09 % (862953)Time elapsed: 0.074 s
% 8.49/2.09 % (862953)Peak memory usage: 89 MB
% 8.49/2.09 % (862953)Instructions burned: 107 (million)
% 8.49/2.09 % (862956)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2793729187:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 8.49/2.09 % (862955)Instruction limit reached!
% 8.49/2.09 % (862955)------------------------------
% 8.49/2.09 % (862955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/2.09 % (862955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/2.09 % (862955)CaDiCaL version: 2.1.3
% 8.49/2.09 % (862955)Termination reason: Instruction limit
% 8.49/2.09 % (862955)Termination phase: Saturation
% 8.49/2.09 % (862955)Time elapsed: 0.158 s
% 8.49/2.09 % (862955)Peak memory usage: 90 MB
% 8.49/2.09 % (862955)Instructions burned: 242 (million)
% 8.49/2.09 % (862959)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3320571470:i=134:sd=2:doe=on:ss=axioms:sgt=14_2989 on theBenchmark for (2989ds/134Mi)
% 8.49/2.09 % (862959)Refutation not found, incomplete strategy
% 8.49/2.09 % (862959)------------------------------
% 8.49/2.09 % (862959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/2.09 % (862959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/2.09 % (862959)CaDiCaL version: 2.1.3
% 8.49/2.09 % (862959)Termination reason: Refutation not found, incomplete strategy
% 8.49/2.09 % (862959)Time elapsed: 0.003 s
% 8.49/2.09 % (862959)Peak memory usage: 88 MB
% 8.49/2.09 % (862959)Instructions burned: 2 (million)
% 8.49/2.09 % (862924)Refutation found. Thanks to Tanya!
% 8.49/2.09 % SZS status Unsatisfiable for theBenchmark
% 8.49/2.09 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/2.31 % (862924)------------------------------
% 0.18/2.31 % (862924)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/2.31 % (862924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/2.31 % (862924)CaDiCaL version: 2.1.3
% 0.18/2.31 % (862924)Termination reason: Refutation
% 0.18/2.31 % (862924)Time elapsed: 0.777 s
% 0.18/2.31 % (862924)Peak memory usage: 130 MB
% 0.18/2.31 % (862924)Instructions burned: 1180 (million)
% 0.18/2.31 % (862924)------------------------------
% 0.18/2.31 % (862924)------------------------------
% 0.18/2.31 % (862919)Success in time 1.208 s
% 0.18/2.31 % Vampire exiting
%------------------------------------------------------------------------------