%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM089-1 : 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 : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:11:44 PM UTC 2026
% Result : Unsatisfiable 5.21s 1.65s
% Output : Refutation 6.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 29
% Syntax : Number of formulae : 99 ( 33 unt; 7 def)
% Number of atoms : 210 ( 37 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 218 ( 107 ~; 108 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 11 con; 0-3 aty)
% Number of variables : 98 ( 0 sgn 98 !; 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(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair2) ).
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(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection3) ).
fof(f28,axiom,
! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',restriction1) ).
fof(f30,axiom,
! [X0,X1] :
( restrict(X0,singleton(X1),universal_class) != null_class
| ~ member(X1,domain_of(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain1) ).
fof(f31,axiom,
! [X0,X1] :
( ~ member(X0,universal_class)
| restrict(X1,singleton(X0),universal_class) = null_class
| member(X0,domain_of(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain2) ).
fof(f32,plain,
! [X0,X1] :
( ~ member(X0,universal_class)
| null_class = restrict(X1,singleton(X0),universal_class)
| member(X0,domain_of(X1)) ),
inference(reorient_equations,[],[f31]) ).
fof(f67,axiom,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity1) ).
fof(f68,plain,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
inference(reorient_equations,[],[f67]) ).
fof(f69,axiom,
! [X0] :
( X0 = null_class
| intersection(X0,regular(X0)) = null_class ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity2) ).
fof(f70,plain,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
inference(reorient_equations,[],[f69]) ).
fof(f147,axiom,
! [X2,X0,X1] :
( ~ section(X0,X1,X2)
| subclass(domain_of(restrict(X0,X2,X1)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',section2) ).
fof(f176,negated_conjecture,
section(xr,y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_sections_property1_1) ).
fof(f177,negated_conjecture,
member(ordered_pair(u,v),xr),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_sections_property1_2) ).
fof(f178,negated_conjecture,
member(u,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_sections_property1_3) ).
fof(f179,negated_conjecture,
member(v,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_sections_property1_4) ).
fof(f180,negated_conjecture,
~ member(u,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_sections_property1_5) ).
fof(f181,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(f200,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,f181]) ).
fof(f205,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(f206,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(f258,plain,
! [X2,X0,X1] :
( subclass(domain_of(intersection(X0,cross_product(X2,X1))),X1)
| ~ section(X0,X1,X2) ),
inference(definition_unfolding,[],[f147,f28]) ).
fof(f271,plain,
member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))),xr),
inference(definition_unfolding,[],[f177,f181]) ).
fof(f278,definition,
sF0 = unordered_pair(u,u),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f279,plain,
unordered_pair(u,u) = sF0,
inference(reorient_equations,[],[f278]) ).
fof(f280,definition,
sF1 = unordered_pair(v,v),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f281,plain,
unordered_pair(v,v) = sF1,
inference(reorient_equations,[],[f280]) ).
fof(f282,definition,
sF2 = unordered_pair(u,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f283,plain,
unordered_pair(u,sF1) = sF2,
inference(reorient_equations,[],[f282]) ).
fof(f284,definition,
sF3 = unordered_pair(sF0,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f285,plain,
unordered_pair(sF0,sF2) = sF3,
inference(reorient_equations,[],[f284]) ).
fof(f286,plain,
member(sF3,xr),
inference(definition_folding,[],[f271,f285,f283,f281,f279]) ).
fof(f289,plain,
! [X0] :
( ~ subclass(z,X0)
| member(u,X0) ),
inference(resolution,[],[f1,f178]) ).
fof(f293,plain,
( member(u,sF0)
| ~ member(u,universal_class) ),
inference(superposition,[],[f9,f279]) ).
fof(f306,definition,
( spl4_3
<=> member(v,universal_class) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f307,plain,
( member(v,universal_class)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f308,plain,
( ~ member(v,universal_class)
| spl4_3 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f315,definition,
( spl4_5
<=> member(u,universal_class) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
fof(f316,plain,
( member(u,universal_class)
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f317,plain,
( ~ member(u,universal_class)
| spl4_5 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f319,definition,
( spl4_6
<=> member(u,sF0) ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
fof(f321,plain,
( member(u,sF0)
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f319]) ).
fof(f322,plain,
( ~ spl4_5
| spl4_6 ),
inference(avatar_split_clause,[],[f293,f319,f315]) ).
fof(f359,plain,
member(u,universal_class),
inference(resolution,[],[f289,f4]) ).
fof(f360,plain,
( $false
| spl4_5 ),
inference(forward_subsumption_resolution,[],[f359,f317]) ).
fof(f361,plain,
spl4_5,
inference(avatar_contradiction_clause,[],[f360]) ).
fof(f438,plain,
! [X2,X3,X0,X1] :
( ~ subclass(intersection(X2,X1),X3)
| ~ member(X0,X2)
| ~ member(X0,X1)
| member(X0,X3) ),
inference(resolution,[],[f23,f1]) ).
fof(f441,plain,
! [X2,X0,X1] :
( ~ member(X0,X2)
| ~ member(X0,X1)
| member(X0,universal_class) ),
inference(resolution,[],[f438,f4]) ).
fof(f450,plain,
! [X0] :
( ~ member(v,X0)
| member(v,universal_class) ),
inference(resolution,[],[f441,f179]) ).
fof(f460,plain,
( ! [X0] : ~ member(v,X0)
| spl4_3 ),
inference(forward_subsumption_resolution,[],[f450,f308]) ).
fof(f461,plain,
( $false
| spl4_3 ),
inference(resolution,[],[f460,f179]) ).
fof(f465,plain,
spl4_3,
inference(avatar_contradiction_clause,[],[f461]) ).
fof(f546,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f2,f21]) ).
fof(f557,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f546,f3]) ).
fof(f569,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f557]) ).
fof(f575,plain,
! [X0] :
( subclass(null_class,X0)
| null_class = X0 ),
inference(superposition,[],[f569,f70]) ).
fof(f576,plain,
! [X0] :
( null_class = X0
| ~ subclass(X0,null_class)
| null_class = X0 ),
inference(resolution,[],[f575,f7]) ).
fof(f577,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0 ),
inference(duplicate_literal_removal,[],[f576]) ).
fof(f624,plain,
! [X0] : null_class = intersection(null_class,X0),
inference(resolution,[],[f577,f569]) ).
fof(f670,plain,
! [X2,X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,sF1)),cross_product(X1,X2))
| ~ member(v,X2)
| ~ member(X0,X1) ),
inference(superposition,[],[f200,f281]) ).
fof(f739,plain,
! [X0] :
( null_class != null_class
| ~ member(X0,domain_of(null_class)) ),
inference(superposition,[],[f205,f624]) ).
fof(f740,plain,
! [X0] : ~ member(X0,domain_of(null_class)),
inference(trivial_inequality_removal,[],[f739]) ).
fof(f748,plain,
null_class = domain_of(null_class),
inference(resolution,[],[f740,f68]) ).
fof(f756,plain,
! [X0] : ~ member(X0,null_class),
inference(superposition,[],[f740,f748]) ).
fof(f789,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(u,u),sF2),cross_product(X0,X1))
| ~ member(v,X1)
| ~ member(u,X0) ),
inference(superposition,[],[f670,f283]) ).
fof(f790,plain,
! [X0,X1] :
( member(unordered_pair(sF0,sF2),cross_product(X0,X1))
| ~ member(v,X1)
| ~ member(u,X0) ),
inference(forward_demodulation,[],[f789,f279]) ).
fof(f792,plain,
! [X0,X1] :
( member(sF3,cross_product(X0,X1))
| ~ member(v,X1)
| ~ member(u,X0) ),
inference(forward_demodulation,[],[f790,f285]) ).
fof(f1915,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,[],[f206,f1]) ).
fof(f1980,plain,
! [X2,X3,X0,X1] :
( ~ section(X1,X3,X2)
| null_class = intersection(intersection(X1,cross_product(X2,X3)),cross_product(unordered_pair(X0,X0),universal_class))
| member(X0,X3)
| ~ member(X0,universal_class) ),
inference(resolution,[],[f1915,f258]) ).
fof(f1985,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,y)
| null_class = intersection(intersection(xr,cross_product(z,y)),cross_product(unordered_pair(X0,X0),universal_class)) ),
inference(resolution,[],[f1980,f176]) ).
fof(f1996,plain,
( member(u,y)
| null_class = intersection(intersection(xr,cross_product(z,y)),cross_product(unordered_pair(u,u),universal_class))
| ~ spl4_5 ),
inference(resolution,[],[f1985,f316]) ).
fof(f2030,plain,
( null_class = intersection(intersection(xr,cross_product(z,y)),cross_product(unordered_pair(u,u),universal_class))
| ~ spl4_5 ),
inference(forward_subsumption_resolution,[],[f1996,f180]) ).
fof(f2048,plain,
( null_class = intersection(intersection(xr,cross_product(z,y)),cross_product(sF0,universal_class))
| ~ spl4_5 ),
inference(forward_demodulation,[],[f2030,f279]) ).
fof(f2084,plain,
( ! [X0] :
( member(X0,null_class)
| ~ member(X0,cross_product(sF0,universal_class))
| ~ member(X0,intersection(xr,cross_product(z,y))) )
| ~ spl4_5 ),
inference(superposition,[],[f23,f2048]) ).
fof(f2098,plain,
( ! [X0] :
( ~ member(X0,intersection(xr,cross_product(z,y)))
| ~ member(X0,cross_product(sF0,universal_class)) )
| ~ spl4_5 ),
inference(forward_subsumption_resolution,[],[f2084,f756]) ).
fof(f2101,plain,
( ! [X0] :
( ~ member(X0,cross_product(sF0,universal_class))
| ~ member(X0,cross_product(z,y))
| ~ member(X0,xr) )
| ~ spl4_5 ),
inference(resolution,[],[f2098,f23]) ).
fof(f2148,plain,
( ~ member(sF3,cross_product(z,y))
| ~ member(sF3,xr)
| ~ member(v,universal_class)
| ~ member(u,sF0)
| ~ spl4_5 ),
inference(resolution,[],[f2101,f792]) ).
fof(f2149,plain,
( ~ member(sF3,cross_product(z,y))
| ~ member(v,universal_class)
| ~ member(u,sF0)
| ~ spl4_5 ),
inference(forward_subsumption_resolution,[],[f2148,f286]) ).
fof(f2158,plain,
( ~ member(sF3,cross_product(z,y))
| ~ member(u,sF0)
| ~ spl4_3
| ~ spl4_5 ),
inference(forward_subsumption_resolution,[],[f2149,f307]) ).
fof(f2171,plain,
( ~ member(sF3,cross_product(z,y))
| ~ spl4_3
| ~ spl4_5
| ~ spl4_6 ),
inference(forward_subsumption_resolution,[],[f2158,f321]) ).
fof(f2237,plain,
( ~ member(v,y)
| ~ member(u,z)
| ~ spl4_3
| ~ spl4_5
| ~ spl4_6 ),
inference(resolution,[],[f2171,f792]) ).
fof(f2238,plain,
( ~ member(u,z)
| ~ spl4_3
| ~ spl4_5
| ~ spl4_6 ),
inference(forward_subsumption_resolution,[],[f2237,f179]) ).
fof(f2239,plain,
( $false
| ~ spl4_3
| ~ spl4_5
| ~ spl4_6 ),
inference(forward_subsumption_resolution,[],[f2238,f178]) ).
fof(f2240,plain,
( ~ spl4_3
| ~ spl4_5
| ~ spl4_6 ),
inference(avatar_contradiction_clause,[],[f2239]) ).
cnf(s3,plain,
( ~ spl4_5
| spl4_6 ),
inference(sat_conversion,[],[f322]) ).
cnf(s7,plain,
spl4_5,
inference(sat_conversion,[],[f361]) ).
cnf(s13,plain,
spl4_3,
inference(sat_conversion,[],[f465]) ).
cnf(s74,plain,
( ~ spl4_3
| ~ spl4_5
| ~ spl4_6 ),
inference(sat_conversion,[],[f2240]) ).
cnf(s80,plain,
~ spl4_6,
inference(rat,[],[s74,s13,s7]) ).
cnf(s85,plain,
$false,
inference(rat,[],[s3,s80,s7]) ).
fof(f2241,plain,
$false,
inference(avatar_sat_refutation,[],[s85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM089-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n016.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 18:56:02 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.21/1.65 % (2930764)Input is clausal, will run a generic CNF schedule.
% 5.21/1.65 % (2930769)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=4133677827:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.21/1.65 % (2930773)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1834790425:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.21/1.65 % (2930772)lrs+10_1_sil=8000:sp=occurrence:random_seed=1059746852:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.21/1.65 % (2930771)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3806515509:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.21/1.65 % (2930775)dis-21_1_sil=8000:lcm=predicate:random_seed=3658700305: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)
% 5.21/1.65 % (2930770)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2577106648:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.21/1.65 % (2930774)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2744089562:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.21/1.65 % (2930772)Refutation not found, incomplete strategy
% 5.21/1.65 % (2930772)------------------------------
% 5.21/1.65 % (2930772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.21/1.65 % (2930772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.21/1.65 % (2930772)CaDiCaL version: 2.1.3
% 5.21/1.65 % (2930772)Termination reason: Refutation not found, incomplete strategy
% 5.21/1.65 % (2930772)Time elapsed: 0.002 s
% 5.21/1.65 % (2930772)Peak memory usage: 88 MB
% 5.21/1.65 % (2930772)Instructions burned: 1 (million)
% 5.21/1.65 % (2930775)Instruction limit reached!
% 5.21/1.65 % (2930775)------------------------------
% 5.21/1.65 % (2930775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.21/1.65 % (2930775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.21/1.65 % (2930775)CaDiCaL version: 2.1.3
% 5.21/1.65 % (2930775)Termination reason: Instruction limit
% 5.21/1.65 % (2930775)Termination phase: Saturation
% 5.21/1.65 % (2930775)Time elapsed: 0.059 s
% 5.21/1.65 % (2930775)Peak memory usage: 89 MB
% 5.21/1.65 % (2930775)Instructions burned: 119 (million)
% 5.21/1.65 % (2930773)Instruction limit reached!
% 5.21/1.65 % (2930773)------------------------------
% 5.21/1.65 % (2930773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.21/1.65 % (2930773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.21/1.65 % (2930773)CaDiCaL version: 2.1.3
% 5.21/1.65 % (2930773)Termination reason: Instruction limit
% 5.21/1.65 % (2930773)Termination phase: Saturation
% 5.21/1.65 % (2930773)Time elapsed: 0.074 s
% 5.21/1.65 % (2930773)Peak memory usage: 89 MB
% 5.21/1.65 % (2930773)Instructions burned: 115 (million)
% 5.21/1.65 % (2930774)Instruction limit reached!
% 5.21/1.65 % (2930774)------------------------------
% 5.21/1.65 % (2930774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.21/1.65 % (2930774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.21/1.65 % (2930774)CaDiCaL version: 2.1.3
% 5.21/1.65 % (2930774)Termination reason: Instruction limit
% 5.21/1.65 % (2930774)Termination phase: Saturation
% 5.21/1.65 % (2930774)Time elapsed: 0.137 s
% 5.21/1.65 % (2930774)Peak memory usage: 90 MB
% 5.21/1.65 % (2930774)Instructions burned: 181 (million)
% 5.21/1.65 % (2930783)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=679534457:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.21/1.65 % (2930784)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2223654507: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)
% 5.21/1.65 % (2930772)------------------------------
% 5.21/1.65 % (2930772)------------------------------
% 5.21/1.65 % (2930783)Instruction limit reached!
% 5.21/1.65 % (2930783)------------------------------
% 5.21/1.65 % (2930783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.21/1.65 % (2930783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.21/1.65 % (2930783)CaDiCaL version: 2.1.3
% 5.21/1.65 % (2930783)Termination reason: Instruction limit
% 5.21/1.65 % (2930783)Termination phase: Saturation
% 5.21/1.65 % (2930783)Time elapsed: 0.053 s
% 5.21/1.65 % (2930783)Peak memory usage: 88 MB
% 5.21/1.65 % (2930783)Instructions burned: 143 (million)
% 5.21/1.65 % (2930785)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1133045191:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 5.21/1.65 % (2930784)Instruction limit reached!
% 5.21/1.65 % (2930784)------------------------------
% 5.21/1.65 % (2930784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.21/1.65 % (2930784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.21/1.65 % (2930784)CaDiCaL version: 2.1.3
% 5.21/1.65 % (2930784)Termination reason: Instruction limit
% 5.21/1.65 % (2930784)Termination phase: Saturation
% 5.21/1.65 % (2930784)Time elapsed: 0.097 s
% 5.21/1.65 % (2930784)Peak memory usage: 91 MB
% 5.21/1.65 % (2930784)Instructions burned: 190 (million)
% 5.21/1.65 % (2930789)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=119102618:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 5.21/1.65 % (2930788)lrs+10_64_to=lpo:sil=8000:random_seed=3711232568:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 5.21/1.65 % (2930785)Instruction limit reached!
% 5.21/1.65 % (2930785)------------------------------
% 5.21/1.65 % (2930785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.21/1.65 % (2930785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.21/1.65 % (2930785)CaDiCaL version: 2.1.3
% 5.21/1.65 % (2930785)Termination reason: Instruction limit
% 5.21/1.65 % (2930785)Termination phase: Saturation
% 5.21/1.65 % (2930785)Time elapsed: 0.131 s
% 5.21/1.65 % (2930785)Peak memory usage: 89 MB
% 5.21/1.65 % (2930785)Instructions burned: 219 (million)
% 5.21/1.65 % (2930769)First to succeed.
% 5.21/1.65 % (2930769)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2930764"
% 5.21/1.65 % (2930788)Instruction limit reached!
% 5.21/1.65 % (2930788)------------------------------
% 5.21/1.65 % (2930788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.21/1.65 % (2930788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.21/1.65 % (2930788)CaDiCaL version: 2.1.3
% 5.21/1.65 % (2930788)Termination reason: Instruction limit
% 5.21/1.65 % (2930788)Termination phase: Saturation
% 5.21/1.65 % (2930788)Time elapsed: 0.082 s
% 5.21/1.65 % (2930788)Peak memory usage: 89 MB
% 5.21/1.65 % (2930788)Instructions burned: 127 (million)
% 5.21/1.65 % (2930791)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=432273911:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 5.21/1.65 % (2930789)Instruction limit reached!
% 5.21/1.65 % (2930789)------------------------------
% 5.21/1.65 % (2930789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.21/1.65 % (2930789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.21/1.65 % (2930789)CaDiCaL version: 2.1.3
% 5.21/1.65 % (2930789)Termination reason: Instruction limit
% 5.21/1.65 % (2930789)Termination phase: Saturation
% 5.21/1.65 % (2930789)Time elapsed: 0.096 s
% 5.21/1.65 % (2930789)Peak memory usage: 89 MB
% 5.21/1.65 % (2930789)Instructions burned: 195 (million)
% 5.21/1.65 % (2930794)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2409852664:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 5.21/1.65 % (2930769)Refutation found. Thanks to Tanya!
% 5.21/1.65 % SZS status Unsatisfiable for theBenchmark
% 5.21/1.65 % SZS output start Proof for theBenchmark
% See solution above
% 6.22/1.84 % (2930769)------------------------------
% 6.22/1.84 % (2930769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.22/1.84 % (2930769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.22/1.84 % (2930769)CaDiCaL version: 2.1.3
% 6.22/1.84 % (2930769)Termination reason: Refutation
% 6.22/1.84 % (2930769)Time elapsed: 0.500 s
% 6.22/1.84 % (2930769)Peak memory usage: 133 MB
% 6.22/1.84 % (2930769)Instructions burned: 1314 (million)
% 6.22/1.84 % (2930769)------------------------------
% 6.22/1.84 % (2930769)------------------------------
% 6.22/1.84 % (2930764)Success in time 0.798 s
% 6.22/1.84 % Vampire exiting
%------------------------------------------------------------------------------