%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET097-6 : 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 : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:40:05 PM UTC 2026
% Result : Unsatisfiable 8.65s 2.11s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 27
% Syntax : Number of formulae : 105 ( 38 unt; 9 def)
% Number of atoms : 200 ( 51 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 171 ( 76 ~; 91 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 8 con; 0-3 aty)
% Number of variables : 75 ( 0 sgn 75 !; 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(f8,axiom,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_member) ).
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(f25,axiom,
! [X0,X1] :
( member(X0,complement(X1))
| ~ member(X0,universal_class)
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement2) ).
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(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(f101,negated_conjecture,
~ member(not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),intersection(complement(singleton(not_subclass_element(x,null_class))),x)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_number_of_elements_in_class_1) ).
fof(f102,negated_conjecture,
singleton(not_subclass_element(x,null_class)) != x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_number_of_elements_in_class_2) ).
fof(f103,plain,
x != singleton(not_subclass_element(x,null_class)),
inference(reorient_equations,[],[f102]) ).
fof(f104,negated_conjecture,
x != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_number_of_elements_in_class_3) ).
fof(f105,plain,
null_class != x,
inference(reorient_equations,[],[f104]) ).
fof(f123,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(f154,plain,
~ member(not_subclass_element(intersection(complement(unordered_pair(not_subclass_element(x,null_class),not_subclass_element(x,null_class))),x),null_class),intersection(complement(unordered_pair(not_subclass_element(x,null_class),not_subclass_element(x,null_class))),x)),
inference(definition_unfolding,[],[f101,f12,f12]) ).
fof(f155,plain,
x != unordered_pair(not_subclass_element(x,null_class),not_subclass_element(x,null_class)),
inference(definition_unfolding,[],[f103,f12]) ).
fof(f159,definition,
sF0 = not_subclass_element(x,null_class),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f160,plain,
not_subclass_element(x,null_class) = sF0,
inference(reorient_equations,[],[f159]) ).
fof(f161,definition,
sF1 = unordered_pair(sF0,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f162,plain,
unordered_pair(sF0,sF0) = sF1,
inference(reorient_equations,[],[f161]) ).
fof(f163,definition,
sF2 = complement(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f164,plain,
complement(sF1) = sF2,
inference(reorient_equations,[],[f163]) ).
fof(f165,definition,
sF3 = intersection(sF2,x),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f166,plain,
intersection(sF2,x) = sF3,
inference(reorient_equations,[],[f165]) ).
fof(f167,definition,
sF4 = not_subclass_element(sF3,null_class),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f168,plain,
not_subclass_element(sF3,null_class) = sF4,
inference(reorient_equations,[],[f167]) ).
fof(f169,plain,
~ member(sF4,sF3),
inference(definition_folding,[],[f154,f166,f164,f162,f160,f160,f168,f166,f164,f162,f160,f160]) ).
fof(f170,plain,
x != sF1,
inference(definition_folding,[],[f155,f162,f160,f160]) ).
fof(f171,plain,
( member(sF4,sF3)
| subclass(sF3,null_class) ),
inference(superposition,[],[f2,f168]) ).
fof(f172,plain,
( member(sF0,x)
| subclass(x,null_class) ),
inference(superposition,[],[f2,f160]) ).
fof(f174,definition,
( spl5_1
<=> subclass(x,null_class) ),
introduced(definition,[new_symbols(definition,[spl5_1])],[avatar_definition]) ).
fof(f176,plain,
( subclass(x,null_class)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f178,definition,
( spl5_2
<=> member(sF0,x) ),
introduced(definition,[new_symbols(definition,[spl5_2])],[avatar_definition]) ).
fof(f180,plain,
( member(sF0,x)
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f181,plain,
( spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f172,f178,f174]) ).
fof(f182,plain,
subclass(sF3,null_class),
inference(forward_subsumption_resolution,[],[f171,f169]) ).
fof(f183,plain,
( ~ subclass(null_class,sF3)
| null_class = sF3 ),
inference(resolution,[],[f7,f182]) ).
fof(f185,definition,
( spl5_3
<=> null_class = sF3 ),
introduced(definition,[new_symbols(definition,[spl5_3])],[avatar_definition]) ).
fof(f187,plain,
( null_class = sF3
| ~ spl5_3 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f189,definition,
( spl5_4
<=> subclass(null_class,sF3) ),
introduced(definition,[new_symbols(definition,[spl5_4])],[avatar_definition]) ).
fof(f191,plain,
( ~ subclass(null_class,sF3)
| spl5_4 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f192,plain,
( spl5_3
| ~ spl5_4 ),
inference(avatar_split_clause,[],[f183,f189,f185]) ).
fof(f193,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f21,f2]) ).
fof(f195,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X1)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f22,f2]) ).
fof(f208,plain,
! [X0] :
( ~ member(X0,sF1)
| sF0 = X0
| sF0 = X0 ),
inference(superposition,[],[f8,f162]) ).
fof(f209,plain,
! [X0] :
( ~ member(X0,sF1)
| sF0 = X0 ),
inference(duplicate_literal_removal,[],[f208]) ).
fof(f211,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,sF2)
| member(X0,sF1) ),
inference(superposition,[],[f25,f164]) ).
fof(f252,plain,
! [X2,X0,X1] :
( member(not_subclass_element(X0,X2),X1)
| ~ subclass(X0,X1)
| subclass(X0,X2) ),
inference(resolution,[],[f1,f2]) ).
fof(f255,plain,
! [X0] :
( subclass(sF1,X0)
| sF0 = not_subclass_element(sF1,X0) ),
inference(resolution,[],[f209,f2]) ).
fof(f266,plain,
! [X0] :
( ~ subclass(X0,sF1)
| sF0 = not_subclass_element(sF1,X0)
| sF1 = X0 ),
inference(resolution,[],[f255,f7]) ).
fof(f288,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f193,f3]) ).
fof(f300,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f288]) ).
fof(f312,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X1)
| subclass(intersection(X0,X1),X1) ),
inference(resolution,[],[f195,f3]) ).
fof(f324,plain,
! [X0,X1] : subclass(intersection(X0,X1),X1),
inference(duplicate_literal_removal,[],[f312]) ).
fof(f337,plain,
! [X0] :
( member(X0,sF3)
| ~ member(X0,x)
| ~ member(X0,sF2) ),
inference(superposition,[],[f23,f166]) ).
fof(f339,plain,
( ! [X0] :
( ~ member(X0,sF2)
| ~ member(X0,x)
| member(X0,null_class) )
| ~ spl5_3 ),
inference(forward_demodulation,[],[f337,f187]) ).
fof(f364,plain,
! [X0,X1] :
( ~ subclass(X0,universal_class)
| subclass(X0,X1)
| member(not_subclass_element(X0,X1),sF2)
| member(not_subclass_element(X0,X1),sF1) ),
inference(resolution,[],[f252,f211]) ).
fof(f379,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),sF1)
| member(not_subclass_element(X0,X1),sF2)
| subclass(X0,X1) ),
inference(forward_subsumption_resolution,[],[f364,f4]) ).
fof(f406,plain,
! [X0] :
( member(not_subclass_element(X0,sF1),sF2)
| subclass(X0,sF1)
| subclass(X0,sF1) ),
inference(resolution,[],[f379,f3]) ).
fof(f411,plain,
! [X0] :
( member(not_subclass_element(X0,sF1),sF2)
| subclass(X0,sF1) ),
inference(duplicate_literal_removal,[],[f406]) ).
fof(f435,plain,
! [X0] :
( subclass(null_class,X0)
| null_class = X0 ),
inference(superposition,[],[f300,f70]) ).
fof(f437,plain,
! [X0] :
( null_class = X0
| ~ subclass(X0,null_class)
| null_class = X0 ),
inference(resolution,[],[f435,f7]) ).
fof(f438,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0 ),
inference(duplicate_literal_removal,[],[f437]) ).
fof(f439,plain,
! [X0] : null_class = intersection(null_class,X0),
inference(resolution,[],[f438,f300]) ).
fof(f462,plain,
! [X0] : subclass(null_class,X0),
inference(superposition,[],[f324,f439]) ).
fof(f502,plain,
( ! [X0] :
( ~ member(not_subclass_element(X0,sF1),x)
| subclass(X0,sF1)
| member(not_subclass_element(X0,sF1),null_class) )
| ~ spl5_3 ),
inference(resolution,[],[f411,f339]) ).
fof(f737,plain,
( ~ subclass(null_class,x)
| null_class = x
| ~ spl5_1 ),
inference(resolution,[],[f176,f7]) ).
fof(f738,plain,
( null_class = x
| ~ spl5_1 ),
inference(forward_subsumption_resolution,[],[f737,f435]) ).
fof(f741,plain,
( $false
| ~ spl5_1 ),
inference(forward_subsumption_resolution,[],[f738,f105]) ).
fof(f742,plain,
~ spl5_1,
inference(avatar_contradiction_clause,[],[f741]) ).
fof(f906,plain,
! [X0] :
( null_class != null_class
| ~ member(X0,domain_of(null_class)) ),
inference(superposition,[],[f123,f439]) ).
fof(f907,plain,
! [X0] : ~ member(X0,domain_of(null_class)),
inference(trivial_inequality_removal,[],[f906]) ).
fof(f913,plain,
null_class = domain_of(null_class),
inference(resolution,[],[f907,f68]) ).
fof(f921,plain,
! [X0] : ~ member(X0,null_class),
inference(superposition,[],[f907,f913]) ).
fof(f1475,plain,
( $false
| spl5_4 ),
inference(resolution,[],[f191,f462]) ).
fof(f1478,plain,
spl5_4,
inference(avatar_contradiction_clause,[],[f1475]) ).
fof(f1878,plain,
( subclass(x,sF1)
| member(not_subclass_element(x,sF1),null_class)
| subclass(x,sF1)
| ~ spl5_3 ),
inference(resolution,[],[f502,f2]) ).
fof(f1888,plain,
( subclass(x,sF1)
| member(not_subclass_element(x,sF1),null_class)
| ~ spl5_3 ),
inference(duplicate_literal_removal,[],[f1878]) ).
fof(f1894,plain,
( subclass(x,sF1)
| ~ spl5_3 ),
inference(forward_subsumption_resolution,[],[f1888,f921]) ).
fof(f1899,plain,
( sF0 = not_subclass_element(sF1,x)
| x = sF1
| ~ spl5_3 ),
inference(resolution,[],[f1894,f266]) ).
fof(f1901,plain,
( ~ subclass(sF1,x)
| x = sF1
| ~ spl5_3 ),
inference(resolution,[],[f1894,f7]) ).
fof(f1902,plain,
( ~ subclass(sF1,x)
| ~ spl5_3 ),
inference(forward_subsumption_resolution,[],[f1901,f170]) ).
fof(f1908,plain,
( sF0 = not_subclass_element(sF1,x)
| ~ spl5_3 ),
inference(forward_subsumption_resolution,[],[f1899,f170]) ).
fof(f1936,plain,
( ~ member(sF0,x)
| subclass(sF1,x)
| ~ spl5_3 ),
inference(superposition,[],[f3,f1908]) ).
fof(f1942,plain,
( subclass(sF1,x)
| ~ spl5_2
| ~ spl5_3 ),
inference(forward_subsumption_resolution,[],[f1936,f180]) ).
fof(f1943,plain,
( $false
| ~ spl5_2
| ~ spl5_3 ),
inference(forward_subsumption_resolution,[],[f1942,f1902]) ).
fof(f1944,plain,
( ~ spl5_2
| ~ spl5_3 ),
inference(avatar_contradiction_clause,[],[f1943]) ).
cnf(s1,plain,
( spl5_1
| spl5_2 ),
inference(sat_conversion,[],[f181]) ).
cnf(s2,plain,
( spl5_3
| ~ spl5_4 ),
inference(sat_conversion,[],[f192]) ).
cnf(s21,plain,
~ spl5_1,
inference(sat_conversion,[],[f742]) ).
cnf(s48,plain,
spl5_4,
inference(sat_conversion,[],[f1478]) ).
cnf(s60,plain,
( ~ spl5_2
| ~ spl5_3 ),
inference(sat_conversion,[],[f1944]) ).
cnf(s64,plain,
spl5_3,
inference(rat,[],[s2,s48]) ).
cnf(s65,plain,
~ spl5_2,
inference(rat,[],[s60,s64]) ).
cnf(s66,plain,
$false,
inference(rat,[],[s1,s65,s21]) ).
fof(f1945,plain,
$false,
inference(avatar_sat_refutation,[],[s66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET097-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n009.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 00:40:45 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 8.65/2.11 % (2568337)Input is clausal, will run a generic CNF schedule.
% 8.65/2.11 % (2568346)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1259717295:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.65/2.11 % (2568346)Instruction limit reached!
% 8.65/2.11 % (2568346)------------------------------
% 8.65/2.11 % (2568346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.65/2.11 % (2568346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.11 % (2568346)CaDiCaL version: 2.1.3
% 8.65/2.11 % (2568346)Termination reason: Instruction limit
% 8.65/2.11 % (2568346)Termination phase: Saturation
% 8.65/2.11 % (2568346)Time elapsed: 0.039 s
% 8.65/2.11 % (2568346)Peak memory usage: 89 MB
% 8.65/2.11 % (2568346)Instructions burned: 116 (million)
% 8.65/2.11 % (2568343)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2627194174:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.65/2.11 % (2568344)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=568959735:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.65/2.11 % (2568345)lrs+10_1_sil=8000:sp=occurrence:random_seed=712632308:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.65/2.11 % (2568342)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=2489812221:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.65/2.11 % (2568348)dis-21_1_sil=8000:lcm=predicate:random_seed=2418931763: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)
% 8.65/2.11 % (2568347)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3820134303:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.65/2.11 % (2568345)Instruction limit reached!
% 8.65/2.11 % (2568345)------------------------------
% 8.65/2.11 % (2568345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.65/2.11 % (2568345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.11 % (2568345)CaDiCaL version: 2.1.3
% 8.65/2.11 % (2568345)Termination reason: Instruction limit
% 8.65/2.11 % (2568345)Termination phase: Saturation
% 8.65/2.11 % (2568345)Time elapsed: 0.073 s
% 8.65/2.11 % (2568345)Peak memory usage: 89 MB
% 8.65/2.11 % (2568345)Instructions burned: 108 (million)
% 8.65/2.11 % (2568348)Instruction limit reached!
% 8.65/2.11 % (2568348)------------------------------
% 8.65/2.11 % (2568348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.65/2.11 % (2568348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.11 % (2568348)CaDiCaL version: 2.1.3
% 8.65/2.11 % (2568348)Termination reason: Instruction limit
% 8.65/2.11 % (2568348)Termination phase: Saturation
% 8.65/2.11 % (2568348)Time elapsed: 0.069 s
% 8.65/2.11 % (2568348)Peak memory usage: 89 MB
% 8.65/2.11 % (2568348)Instructions burned: 117 (million)
% 8.65/2.11 % (2568354)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=231797033:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 8.65/2.11 % (2568354)Refutation not found, incomplete strategy
% 8.65/2.11 % (2568354)------------------------------
% 8.65/2.11 % (2568354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.65/2.11 % (2568354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.11 % (2568354)CaDiCaL version: 2.1.3
% 8.65/2.11 % (2568354)Termination reason: Refutation not found, incomplete strategy
% 8.65/2.11 % (2568354)Time elapsed: 0.002 s
% 8.65/2.11 % (2568354)Peak memory usage: 88 MB
% 8.65/2.11 % (2568354)Instructions burned: 4 (million)
% 8.65/2.11 % (2568347)Instruction limit reached!
% 8.65/2.11 % (2568347)------------------------------
% 8.65/2.11 % (2568347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.65/2.11 % (2568347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.11 % (2568347)CaDiCaL version: 2.1.3
% 8.65/2.11 % (2568347)Termination reason: Instruction limit
% 8.65/2.11 % (2568347)Termination phase: Saturation
% 8.65/2.11 % (2568347)Time elapsed: 0.134 s
% 8.65/2.11 % (2568347)Peak memory usage: 90 MB
% 8.65/2.11 % (2568347)Instructions burned: 180 (million)
% 8.65/2.11 % (2568357)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3104518185: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)
% 8.65/2.11 % (2568358)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1730807304:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 8.65/2.11 % (2568354)------------------------------
% 8.65/2.11 % (2568354)------------------------------
% 8.65/2.11 % (2568360)lrs+10_64_to=lpo:sil=8000:random_seed=2898222604:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 8.65/2.11 % (2568357)Instruction limit reached!
% 8.65/2.11 % (2568357)------------------------------
% 8.65/2.11 % (2568357)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.65/2.11 % (2568357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.11 % (2568357)CaDiCaL version: 2.1.3
% 8.65/2.11 % (2568357)Termination reason: Instruction limit
% 8.65/2.11 % (2568357)Termination phase: Saturation
% 8.65/2.11 % (2568357)Time elapsed: 0.109 s
% 8.65/2.11 % (2568357)Peak memory usage: 91 MB
% 8.65/2.11 % (2568357)Instructions burned: 190 (million)
% 8.65/2.11 % (2568358)Instruction limit reached!
% 8.65/2.11 % (2568358)------------------------------
% 8.65/2.11 % (2568358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.65/2.11 % (2568358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.11 % (2568358)CaDiCaL version: 2.1.3
% 8.65/2.11 % (2568358)Termination reason: Instruction limit
% 8.65/2.11 % (2568358)Termination phase: Saturation
% 8.65/2.11 % (2568358)Time elapsed: 0.127 s
% 8.65/2.11 % (2568358)Peak memory usage: 89 MB
% 8.65/2.11 % (2568358)Instructions burned: 219 (million)
% 8.65/2.11 % (2568363)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=16005064:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 8.65/2.11 % (2568360)Instruction limit reached!
% 8.65/2.11 % (2568360)------------------------------
% 8.65/2.11 % (2568360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.65/2.11 % (2568360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.11 % (2568360)CaDiCaL version: 2.1.3
% 8.65/2.11 % (2568360)Termination reason: Instruction limit
% 8.65/2.11 % (2568360)Termination phase: Saturation
% 8.65/2.11 % (2568360)Time elapsed: 0.082 s
% 8.65/2.11 % (2568360)Peak memory usage: 89 MB
% 8.65/2.11 % (2568360)Instructions burned: 127 (million)
% 8.65/2.11 % (2568363)Instruction limit reached!
% 8.65/2.11 % (2568363)------------------------------
% 8.65/2.11 % (2568363)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.65/2.11 % (2568363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.11 % (2568363)CaDiCaL version: 2.1.3
% 8.65/2.11 % (2568363)Termination reason: Instruction limit
% 8.65/2.11 % (2568363)Termination phase: Saturation
% 8.65/2.11 % (2568363)Time elapsed: 0.068 s
% 8.65/2.11 % (2568363)Peak memory usage: 89 MB
% 8.65/2.11 % (2568363)Instructions burned: 196 (million)
% 8.65/2.11 % (2568365)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2652152301:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 8.65/2.11 % (2568366)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3119822071:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 8.65/2.11 % (2568368)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=2161619989:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 8.65/2.11 % (2568369)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2027715970:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 8.65/2.11 % (2568369)Refutation not found, incomplete strategy
% 8.65/2.11 % (2568369)------------------------------
% 8.65/2.11 % (2568369)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.65/2.11 % (2568369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.11 % (2568369)CaDiCaL version: 2.1.3
% 8.65/2.11 % (2568369)Termination reason: Refutation not found, incomplete strategy
% 8.65/2.11 % (2568369)Time elapsed: 0.003 s
% 8.65/2.11 % (2568369)Peak memory usage: 88 MB
% 8.65/2.11 % (2568369)Instructions burned: 8 (million)
% 8.65/2.11 % (2568365)Instruction limit reached!
% 8.65/2.11 % (2568365)------------------------------
% 8.65/2.11 % (2568365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.65/2.11 % (2568365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.11 % (2568365)CaDiCaL version: 2.1.3
% 8.65/2.11 % (2568365)Termination reason: Instruction limit
% 8.65/2.11 % (2568365)Termination phase: Saturation
% 8.65/2.11 % (2568365)Time elapsed: 0.108 s
% 8.65/2.11 % (2568365)Peak memory usage: 91 MB
% 8.65/2.11 % (2568365)Instructions burned: 158 (million)
% 8.65/2.11 % (2568368)Instruction limit reached!
% 8.65/2.11 % (2568368)------------------------------
% 8.65/2.11 % (2568368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.65/2.11 % (2568368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.11 % (2568368)CaDiCaL version: 2.1.3
% 8.65/2.11 % (2568368)Termination reason: Instruction limit
% 8.65/2.11 % (2568368)Termination phase: Saturation
% 8.65/2.11 % (2568368)Time elapsed: 0.063 s
% 8.65/2.11 % (2568368)Peak memory usage: 90 MB
% 8.65/2.11 % (2568368)Instructions burned: 106 (million)
% 8.65/2.11 % (2568369)------------------------------
% 8.65/2.11 % (2568369)------------------------------
% 8.65/2.11 % (2568374)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2947693035:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 8.65/2.11 % (2568375)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3112149235:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 8.65/2.11 % (2568342)First to succeed.
% 8.65/2.11 % (2568342)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2568337"
% 8.65/2.11 % (2568376)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3168188334:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 8.65/2.11 % (2568376)Instruction limit reached!
% 8.65/2.11 % (2568376)------------------------------
% 8.65/2.11 % (2568376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.65/2.11 % (2568376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.11 % (2568376)CaDiCaL version: 2.1.3
% 8.65/2.11 % (2568376)Termination reason: Instruction limit
% 8.65/2.11 % (2568376)Termination phase: Saturation
% 8.65/2.11 % (2568376)Time elapsed: 0.056 s
% 8.65/2.11 % (2568376)Peak memory usage: 90 MB
% 8.65/2.11 % (2568376)Instructions burned: 135 (million)
% 8.65/2.11 % (2568374)Instruction limit reached!
% 8.65/2.11 % (2568374)------------------------------
% 8.65/2.11 % (2568374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.65/2.11 % (2568374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.11 % (2568374)CaDiCaL version: 2.1.3
% 8.65/2.11 % (2568374)Termination reason: Instruction limit
% 8.65/2.11 % (2568374)Termination phase: Saturation
% 8.65/2.11 % (2568374)Time elapsed: 0.166 s
% 8.65/2.11 % (2568374)Peak memory usage: 90 MB
% 8.65/2.11 % (2568374)Instructions burned: 242 (million)
% 8.65/2.11 % (2568380)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=377204844:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 8.65/2.11 % (2568381)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3083661847:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 8.65/2.11 % (2568342)Refutation found. Thanks to Tanya!
% 8.65/2.11 % SZS status Unsatisfiable for theBenchmark
% 8.65/2.11 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/2.30 % (2568342)------------------------------
% 0.15/2.30 % (2568342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/2.30 % (2568342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/2.30 % (2568342)CaDiCaL version: 2.1.3
% 0.15/2.30 % (2568342)Termination reason: Refutation
% 0.15/2.30 % (2568342)Time elapsed: 0.822 s
% 0.15/2.30 % (2568342)Peak memory usage: 131 MB
% 0.15/2.30 % (2568342)Instructions burned: 1208 (million)
% 0.15/2.30 % (2568342)------------------------------
% 0.15/2.30 % (2568342)------------------------------
% 0.15/2.30 % (2568337)Success in time 1.247 s
% 0.15/2.30 % Vampire exiting
%------------------------------------------------------------------------------