%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM181-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 12:18:03 PM UTC 2026
% Result : Unsatisfiable 0.17s 5.60s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 19
% Syntax : Number of formulae : 56 ( 22 unt; 4 def)
% Number of atoms : 101 ( 11 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 86 ( 41 ~; 41 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 6 con; 0-3 aty)
% Number of variables : 30 ( 0 sgn 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',singleton_set) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection1) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement1) ).
fof(f25,axiom,
! [X0,X1] :
( member(X0,complement(X1))
| ~ member(X0,universal_class)
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement2) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',union) ).
fof(f28,axiom,
! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',restriction1) ).
fof(f39,axiom,
! [X0] : domain_of(flip(cross_product(X0,universal_class))) = inverse(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',inverse) ).
fof(f40,axiom,
! [X0] : domain_of(inverse(X0)) = range_of(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',range_of) ).
fof(f43,axiom,
! [X0,X1] : range_of(restrict(X0,X1,universal_class)) = image(X0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',image) ).
fof(f154,axiom,
union(singleton(null_class),image(successor_relation,ordinal_numbers)) = kind_1_ordinals,
file('/export/starexec/sandbox/benchmark/Axioms/NUM004-0.ax',kind_1_ordinals) ).
fof(f155,axiom,
intersection(complement(kind_1_ordinals),ordinal_numbers) = limit_ordinals,
file('/export/starexec/sandbox/benchmark/Axioms/NUM004-0.ax',limit_ordinals) ).
fof(f176,negated_conjecture,
member(null_class,limit_ordinals),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_null_class_is_not_a_limit_ordinal_1) ).
fof(f178,plain,
! [X0] : range_of(X0) = domain_of(domain_of(flip(cross_product(X0,universal_class)))),
inference(definition_unfolding,[],[f40,f39]) ).
fof(f181,plain,
! [X0,X1] : image(X0,X1) = domain_of(domain_of(flip(cross_product(intersection(X0,cross_product(X1,universal_class)),universal_class)))),
inference(definition_unfolding,[],[f43,f178,f28]) ).
fof(f259,plain,
kind_1_ordinals = complement(intersection(complement(unordered_pair(null_class,null_class)),complement(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(ordinal_numbers,universal_class)),universal_class))))))),
inference(definition_unfolding,[],[f154,f26,f12,f181]) ).
fof(f319,plain,
! [X0] :
( member(X0,complement(kind_1_ordinals))
| ~ member(X0,limit_ordinals) ),
inference(superposition,[],[f21,f155]) ).
fof(f363,plain,
! [X0] :
( ~ subclass(limit_ordinals,X0)
| member(null_class,X0) ),
inference(resolution,[],[f1,f176]) ).
fof(f1129,plain,
! [X0] :
( member(X0,intersection(complement(unordered_pair(null_class,null_class)),complement(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(ordinal_numbers,universal_class)),universal_class)))))))
| ~ member(X0,universal_class)
| member(X0,kind_1_ordinals) ),
inference(superposition,[],[f25,f259]) ).
fof(f3004,definition,
( spl0_212
<=> member(null_class,complement(kind_1_ordinals)) ),
introduced(definition,[new_symbols(definition,[spl0_212])],[avatar_definition]) ).
fof(f3005,plain,
( ~ member(null_class,complement(kind_1_ordinals))
| spl0_212 ),
inference(avatar_component_clause,[],[f3004]) ).
fof(f3006,plain,
( member(null_class,complement(kind_1_ordinals))
| ~ spl0_212 ),
inference(avatar_component_clause,[],[f3004]) ).
fof(f3094,definition,
( spl0_232
<=> member(null_class,universal_class) ),
introduced(definition,[new_symbols(definition,[spl0_232])],[avatar_definition]) ).
fof(f3095,plain,
( member(null_class,universal_class)
| ~ spl0_232 ),
inference(avatar_component_clause,[],[f3094]) ).
fof(f3266,plain,
member(null_class,universal_class),
inference(resolution,[],[f363,f4]) ).
fof(f3274,plain,
spl0_232,
inference(avatar_split_clause,[],[f3266,f3094]) ).
fof(f6318,definition,
( spl0_600
<=> member(null_class,kind_1_ordinals) ),
introduced(definition,[new_symbols(definition,[spl0_600])],[avatar_definition]) ).
fof(f6320,plain,
( ~ member(null_class,kind_1_ordinals)
| spl0_600 ),
inference(avatar_component_clause,[],[f6318]) ).
fof(f6475,plain,
! [X0] :
( member(X0,complement(unordered_pair(null_class,null_class)))
| member(X0,kind_1_ordinals)
| ~ member(X0,universal_class) ),
inference(resolution,[],[f1129,f21]) ).
fof(f9227,definition,
( spl0_825
<=> member(null_class,complement(unordered_pair(null_class,null_class))) ),
introduced(definition,[new_symbols(definition,[spl0_825])],[avatar_definition]) ).
fof(f9228,plain,
( member(null_class,complement(unordered_pair(null_class,null_class)))
| ~ spl0_825 ),
inference(avatar_component_clause,[],[f9227]) ).
fof(f9229,plain,
( ~ member(null_class,complement(unordered_pair(null_class,null_class)))
| spl0_825 ),
inference(avatar_component_clause,[],[f9227]) ).
fof(f10889,plain,
( ~ member(null_class,limit_ordinals)
| spl0_212 ),
inference(resolution,[],[f3005,f319]) ).
fof(f10892,plain,
( $false
| spl0_212 ),
inference(forward_subsumption_resolution,[],[f10889,f176]) ).
fof(f10893,plain,
spl0_212,
inference(avatar_contradiction_clause,[],[f10892]) ).
fof(f10953,plain,
( ~ member(null_class,kind_1_ordinals)
| ~ spl0_212 ),
inference(resolution,[],[f3006,f24]) ).
fof(f11417,plain,
( ~ spl0_600
| ~ spl0_212 ),
inference(avatar_split_clause,[],[f10953,f3004,f6318]) ).
fof(f19782,plain,
( member(null_class,kind_1_ordinals)
| ~ member(null_class,universal_class)
| spl0_825 ),
inference(resolution,[],[f6475,f9229]) ).
fof(f19814,plain,
( ~ member(null_class,universal_class)
| spl0_600
| spl0_825 ),
inference(forward_subsumption_resolution,[],[f19782,f6320]) ).
fof(f19826,plain,
( $false
| ~ spl0_232
| spl0_600
| spl0_825 ),
inference(forward_subsumption_resolution,[],[f19814,f3095]) ).
fof(f19827,plain,
( ~ spl0_232
| spl0_600
| spl0_825 ),
inference(avatar_contradiction_clause,[],[f19826]) ).
fof(f19834,plain,
( ~ member(null_class,unordered_pair(null_class,null_class))
| ~ spl0_825 ),
inference(resolution,[],[f9228,f24]) ).
fof(f19843,plain,
( ~ member(null_class,universal_class)
| ~ spl0_825 ),
inference(resolution,[],[f19834,f9]) ).
fof(f19848,plain,
( $false
| ~ spl0_232
| ~ spl0_825 ),
inference(forward_subsumption_resolution,[],[f19843,f3095]) ).
fof(f19849,plain,
( ~ spl0_232
| ~ spl0_825 ),
inference(avatar_contradiction_clause,[],[f19848]) ).
cnf(s260,plain,
spl0_232,
inference(sat_conversion,[],[f3274]) ).
cnf(s923,plain,
spl0_212,
inference(sat_conversion,[],[f10893]) ).
cnf(s1019,plain,
( ~ spl0_212
| ~ spl0_600 ),
inference(sat_conversion,[],[f11417]) ).
cnf(s2772,plain,
( ~ spl0_232
| spl0_600
| spl0_825 ),
inference(sat_conversion,[],[f19827]) ).
cnf(s2777,plain,
( ~ spl0_232
| ~ spl0_825 ),
inference(sat_conversion,[],[f19849]) ).
cnf(s2786,plain,
~ spl0_600,
inference(rat,[],[s1019,s923]) ).
cnf(s2815,plain,
~ spl0_825,
inference(rat,[],[s2777,s260]) ).
cnf(s2816,plain,
$false,
inference(rat,[],[s2772,s2786,s2815,s260]) ).
fof(f19850,plain,
$false,
inference(avatar_sat_refutation,[],[s2816]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM181-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n014.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 19:06:02 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.23/2.67 % (1107272)Will run a generic schedule for satisfiability detection.
% 15.23/2.67 % (1107280)dis+10_1_sil=32000:sp=arity:random_seed=914295711:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.23/2.67 % (1107278)% WARNING: option uhcvi not known.
% 15.23/2.67 % (1107277)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4286577023_2999 on theBenchmark for (2999ds/0Mi)
% 15.23/2.67 % (1107278)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1737149851:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.23/2.67 % (1107279)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4175013861:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.23/2.67 % (1107281)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2215697800:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.23/2.67 % (1107282)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=325035720:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.23/2.67 % (1107283)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3595377147:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.23/2.67 % (1107280)Instruction limit reached!
% 15.23/2.67 % (1107280)------------------------------
% 15.23/2.67 % (1107280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.23/2.67 % (1107280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.23/2.67 % (1107280)CaDiCaL version: 2.1.3
% 15.23/2.67 % (1107280)Termination reason: Instruction limit
% 15.23/2.67 % (1107280)Termination phase: Saturation
% 15.23/2.67 % (1107280)Time elapsed: 0.040 s
% 15.23/2.67 % (1107280)Peak memory usage: 13 MB
% 15.23/2.67 % (1107280)Instructions burned: 104 (million)
% 15.23/2.67 % (1107291)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1453818838:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 15.23/2.67 % (1107281)Instruction limit reached!
% 15.23/2.67 % (1107281)------------------------------
% 15.23/2.67 % (1107281)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.23/2.67 % (1107281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.23/2.67 % (1107281)CaDiCaL version: 2.1.3
% 15.23/2.67 % (1107281)Termination reason: Instruction limit
% 15.23/2.67 % (1107281)Termination phase: Saturation
% 15.23/2.67 % (1107281)Time elapsed: 0.069 s
% 15.23/2.67 % (1107281)Peak memory usage: 13 MB
% 15.23/2.67 % (1107281)Instructions burned: 117 (million)
% 15.23/2.67 % (1107282)Instruction limit reached!
% 15.23/2.67 % (1107282)------------------------------
% 15.23/2.67 % (1107282)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.23/2.67 % (1107282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.23/2.67 % (1107282)CaDiCaL version: 2.1.3
% 15.23/2.67 % (1107282)Termination reason: Instruction limit
% 15.23/2.67 % (1107282)Termination phase: Saturation
% 15.23/2.67 % (1107282)Time elapsed: 0.079 s
% 15.23/2.67 % (1107282)Peak memory usage: 12 MB
% 15.23/2.67 % (1107282)Instructions burned: 132 (million)
% 15.23/2.67 % (1107293)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1540510868:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 15.23/2.67 % (1107294)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2530919943:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 15.23/2.67 % (1107283)Instruction limit reached!
% 15.23/2.67 % (1107283)------------------------------
% 15.23/2.67 % (1107283)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.23/2.67 % (1107283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.23/2.67 % (1107283)CaDiCaL version: 2.1.3
% 15.23/2.67 % (1107283)Termination reason: Instruction limit
% 15.23/2.67 % (1107283)Termination phase: Saturation
% 15.23/2.67 % (1107283)Time elapsed: 0.104 s
% 15.23/2.67 % (1107283)Peak memory usage: 14 MB
% 15.23/2.67 % (1107283)Instructions burned: 159 (million)
% 15.23/2.67 % (1107297)ott-21_1_sil=16000:fs=off:random_seed=612559142:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 15.23/2.67 % TRYING [1]
% 15.23/2.67 % TRYING [2]
% 15.23/2.67 % TRYING [3]
% 15.23/2.67 % (1107293)Instruction limit reached!
% 15.23/2.67 % (1107293)------------------------------
% 15.23/2.67 % (1107293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.23/2.67 % (1107293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.38/5.15 % (1107293)CaDiCaL version: 2.1.3
% 33.38/5.15 % (1107293)Termination reason: Instruction limit
% 33.38/5.15 % (1107293)Termination phase: Saturation
% 33.38/5.15 % (1107293)Time elapsed: 0.085 s
% 33.38/5.15 % (1107293)Peak memory usage: 13 MB
% 33.38/5.15 % (1107293)Instructions burned: 133 (million)
% 33.38/5.15 % (1107299)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3015637201:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 33.38/5.15 % TRYING [1]
% 33.38/5.15 % TRYING [2]
% 33.38/5.15 % (1107291)Instruction limit reached!
% 33.38/5.15 % (1107291)------------------------------
% 33.38/5.15 % (1107291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.38/5.15 % (1107291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.38/5.15 % (1107291)CaDiCaL version: 2.1.3
% 33.38/5.15 % (1107291)Termination reason: Instruction limit
% 33.38/5.15 % (1107291)Termination phase: Finite model building constraint generation
% 33.38/5.15 % (1107291)Time elapsed: 0.179 s
% 33.38/5.15 % (1107291)Peak memory usage: 35 MB
% 33.38/5.15 % (1107291)Instructions burned: 719 (million)
% 33.38/5.15 % (1107297)Instruction limit reached!
% 33.38/5.15 % (1107297)------------------------------
% 33.38/5.15 % (1107297)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.38/5.15 % (1107297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.38/5.15 % (1107297)CaDiCaL version: 2.1.3
% 33.38/5.15 % (1107297)Termination reason: Instruction limit
% 33.38/5.15 % (1107297)Termination phase: Saturation
% 33.38/5.15 % (1107297)Time elapsed: 0.100 s
% 33.38/5.15 % (1107297)Peak memory usage: 12 MB
% 33.38/5.15 % (1107297)Instructions burned: 180 (million)
% 33.38/5.15 % (1107302)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1805328355:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 33.38/5.15 % TRYING [3]
% 33.38/5.15 % (1107301)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=272735704:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 33.38/5.15 % TRYING [4]
% 33.38/5.15 % TRYING [1]
% 33.38/5.15 % TRYING [2]
% 33.38/5.15 % (1107299)Instruction limit reached!
% 33.38/5.15 % (1107299)------------------------------
% 33.38/5.15 % (1107299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.38/5.15 % (1107299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.38/5.15 % (1107299)CaDiCaL version: 2.1.3
% 33.38/5.15 % (1107299)Termination reason: Instruction limit
% 33.38/5.15 % (1107299)Termination phase: Saturation
% 33.38/5.15 % (1107299)Time elapsed: 0.339 s
% 33.38/5.15 % (1107299)Peak memory usage: 14 MB
% 33.38/5.15 % (1107299)Instructions burned: 478 (million)
% 33.38/5.15 % (1107294)Instruction limit reached!
% 33.38/5.15 % (1107294)------------------------------
% 33.38/5.15 % (1107294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.38/5.15 % (1107294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.38/5.15 % (1107294)CaDiCaL version: 2.1.3
% 33.38/5.15 % (1107294)Termination reason: Instruction limit
% 33.38/5.15 % (1107294)Termination phase: Saturation
% 33.38/5.15 % (1107294)Time elapsed: 0.446 s
% 33.38/5.15 % (1107294)Peak memory usage: 18 MB
% 33.38/5.15 % (1107294)Instructions burned: 684 (million)
% 33.38/5.15 % (1107305)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3086808619:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 33.38/5.15 % (1107306)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1790635794:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 33.38/5.15 % (1107302)Instruction limit reached!
% 33.38/5.15 % (1107302)------------------------------
% 33.38/5.15 % (1107302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.38/5.15 % (1107302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.38/5.15 % (1107302)CaDiCaL version: 2.1.3
% 33.38/5.15 % (1107302)Termination reason: Instruction limit
% 33.38/5.15 % (1107302)Termination phase: Saturation
% 33.38/5.15 % (1107302)Time elapsed: 0.373 s
% 33.38/5.15 % (1107302)Peak memory usage: 22 MB
% 33.38/5.15 % (1107302)Instructions burned: 1180 (million)
% 33.38/5.15 % TRYING [3]
% 33.38/5.15 % (1107309)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2007716363:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 33.38/5.15 % (1107301)Instruction limit reached!
% 33.38/5.15 % (1107301)------------------------------
% 33.38/5.15 % (1107301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.59/5.60 % (1107301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.59/5.60 % (1107301)CaDiCaL version: 2.1.3
% 35.59/5.60 % (1107301)Termination reason: Instruction limit
% 35.59/5.60 % (1107301)Termination phase: Finite model building constraint generation
% 35.59/5.60 % (1107301)Time elapsed: 0.407 s
% 35.59/5.60 % (1107301)Peak memory usage: 24 MB
% 35.59/5.60 % (1107301)Instructions burned: 867 (million)
% 35.59/5.60 % (1107311)fmb+10_1_sil=64000:random_seed=3380057068:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 35.59/5.60 % (1107309)Instruction limit reached!
% 35.59/5.60 % (1107309)------------------------------
% 35.59/5.60 % (1107309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.59/5.60 % (1107309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.59/5.60 % (1107309)CaDiCaL version: 2.1.3
% 35.59/5.60 % (1107309)Termination reason: Instruction limit
% 35.59/5.60 % (1107309)Termination phase: Saturation
% 35.59/5.60 % (1107309)Time elapsed: 0.257 s
% 35.59/5.60 % (1107309)Peak memory usage: 19 MB
% 35.59/5.60 % (1107309)Instructions burned: 880 (million)
% 35.59/5.60 % TRYING [1]
% 35.59/5.60 % (1107313)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1832023988:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 35.59/5.60 % TRYING [2]
% 35.59/5.60 % (1107306)Instruction limit reached!
% 35.59/5.60 % (1107306)------------------------------
% 35.59/5.60 % (1107306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.59/5.60 % (1107306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.59/5.60 % (1107306)CaDiCaL version: 2.1.3
% 35.59/5.60 % (1107306)Termination reason: Instruction limit
% 35.59/5.60 % (1107306)Termination phase: Saturation
% 35.59/5.60 % (1107306)Time elapsed: 0.409 s
% 35.59/5.60 % (1107306)Peak memory usage: 19 MB
% 35.59/5.60 % (1107306)Instructions burned: 692 (million)
% 35.59/5.60 % (1107315)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3827570888:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 35.59/5.60 % (1107305)Instruction limit reached!
% 35.59/5.60 % (1107305)------------------------------
% 35.59/5.60 % (1107305)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.59/5.60 % (1107305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.59/5.60 % (1107305)CaDiCaL version: 2.1.3
% 35.59/5.60 % (1107305)Termination reason: Instruction limit
% 35.59/5.60 % (1107305)Termination phase: Finite model building constraint generation
% 35.59/5.60 % (1107305)Time elapsed: 0.442 s
% 35.59/5.60 % (1107305)Peak memory usage: 75 MB
% 35.59/5.60 % (1107305)Instructions burned: 891 (million)
% 35.59/5.60 % TRYING [20]
% 35.59/5.60 % (1107317)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2080017111:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 35.59/5.60 % TRYING [3]
% 35.59/5.60 % TRYING [8]
% 35.59/5.60 % TRYING [5]
% 35.59/5.60 % (1107315)Instruction limit reached!
% 35.59/5.60 % (1107315)------------------------------
% 35.59/5.60 % (1107315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.59/5.60 % (1107315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.59/5.60 % (1107315)CaDiCaL version: 2.1.3
% 35.59/5.60 % (1107315)Termination reason: Instruction limit
% 35.59/5.60 % (1107315)Termination phase: Finite model building constraint generation
% 35.59/5.60 % (1107315)Time elapsed: 0.383 s
% 35.59/5.60 % (1107315)Peak memory usage: 46 MB
% 35.59/5.60 % (1107315)Instructions burned: 923 (million)
% 35.59/5.60 % (1107319)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=4254298472:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 35.59/5.60 % TRYING [4]
% 35.59/5.60 % (1107319)Instruction limit reached!
% 35.59/5.60 % (1107319)------------------------------
% 35.59/5.60 % (1107319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.59/5.60 % (1107319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.59/5.60 % (1107319)CaDiCaL version: 2.1.3
% 35.59/5.60 % (1107319)Termination reason: Instruction limit
% 35.59/5.60 % (1107319)Termination phase: Saturation
% 35.59/5.60 % (1107319)Time elapsed: 0.574 s
% 35.59/5.60 % (1107319)Peak memory usage: 20 MB
% 35.59/5.60 % (1107319)Instructions burned: 1473 (million)
% 35.59/5.60 % (1107322)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4155155790:i=6324_2979 on theBenchmark for (2979ds/6324Mi)
% 35.59/5.60 % (1107322)Cannot represent all propositional literals internally
% 35.59/5.60 % (1107322)Refutation not found, incomplete strategy
% 35.59/5.60 % (1107322)------------------------------
% 35.59/5.60 % (1107322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.59/5.60 % (1107322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.59/5.60 % (1107322)CaDiCaL version: 2.1.3
% 35.59/5.60 % (1107322)Termination reason: Refutation not found, incomplete strategy
% 35.59/5.60 % (1107322)Time elapsed: 0.209 s
% 35.59/5.60 % (1107322)Peak memory usage: 13 MB
% 35.59/5.60 % (1107322)Instructions burned: 406 (million)
% 35.59/5.60 % (1107322)------------------------------
% 35.59/5.60 % (1107322)------------------------------
% 35.59/5.60 % (1107324)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1997734696:fmbsr=2.30978:i=2174_2977 on theBenchmark for (2977ds/2174Mi)
% 35.59/5.60 % (1107313)Instruction limit reached!
% 35.59/5.60 % (1107313)------------------------------
% 35.59/5.60 % (1107313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.59/5.60 % (1107313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.59/5.60 % (1107313)CaDiCaL version: 2.1.3
% 35.59/5.60 % (1107313)Termination reason: Instruction limit
% 35.59/5.60 % (1107313)Termination phase: Finite model building constraint generation
% 35.59/5.60 % (1107313)Time elapsed: 1.827 s
% 35.59/5.60 % (1107313)Peak memory usage: 537 MB
% 35.59/5.60 % (1107313)Instructions burned: 9521 (million)
% 35.59/5.60 % (1107326)ott-2_1_sil=16000:newcnf=on:random_seed=1973972620:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2972 on theBenchmark for (2972ds/869Mi)
% 35.59/5.60 % (1107326)Instruction limit reached!
% 35.59/5.60 % (1107326)------------------------------
% 35.59/5.60 % (1107326)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.59/5.60 % (1107326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.59/5.60 % (1107326)CaDiCaL version: 2.1.3
% 35.59/5.60 % (1107326)Termination reason: Instruction limit
% 35.59/5.60 % (1107326)Termination phase: Saturation
% 35.59/5.60 % (1107326)Time elapsed: 0.282 s
% 35.59/5.60 % (1107326)Peak memory usage: 17 MB
% 35.59/5.60 % (1107326)Instructions burned: 870 (million)
% 35.59/5.60 % (1107328)ott+10_1_sil=32000:tgt=ground:random_seed=859619553:i=5114:av=off_2969 on theBenchmark for (2969ds/5114Mi)
% 35.59/5.60 % (1107324)Cannot represent all propositional literals internally
% 35.59/5.60 % (1107324)Refutation not found, incomplete strategy
% 35.59/5.60 % (1107324)------------------------------
% 35.59/5.60 % (1107324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.59/5.60 % (1107324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.59/5.60 % (1107324)CaDiCaL version: 2.1.3
% 35.59/5.60 % (1107324)Termination reason: Refutation not found, incomplete strategy
% 35.59/5.60 % (1107324)Time elapsed: 1.114 s
% 35.59/5.60 % (1107324)Peak memory usage: 18 MB
% 35.59/5.60 % (1107324)Instructions burned: 2059 (million)
% 35.59/5.60 % (1107324)------------------------------
% 35.59/5.60 % (1107324)------------------------------
% 35.59/5.60 % (1107330)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1871473591:i=54282_2966 on theBenchmark for (2966ds/54282Mi)
% 35.59/5.60 % TRYING [1]
% 35.59/5.60 % TRYING [2]
% 35.59/5.60 % TRYING [3]
% 35.59/5.60 % TRYING [4]
% 35.59/5.60 % (1107317)Instruction limit reached!
% 35.59/5.60 % (1107317)------------------------------
% 35.59/5.60 % (1107317)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.59/5.60 % (1107317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.59/5.60 % (1107317)CaDiCaL version: 2.1.3
% 35.59/5.60 % (1107317)Termination reason: Instruction limit
% 35.59/5.60 % (1107317)Termination phase: Saturation
% 35.59/5.60 % (1107317)Time elapsed: 2.953 s
% 35.59/5.60 % (1107317)Peak memory usage: 36 MB
% 35.59/5.60 % (1107317)Instructions burned: 5133 (million)
% 35.59/5.60 % (1107332)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2766890927:i=3512:aac=none_2959 on theBenchmark for (2959ds/3512Mi)
% 35.59/5.60 % TRYING [5]
% 35.59/5.60 % (1107328)Instruction limit reached!
% 35.59/5.60 % (1107328)------------------------------
% 35.59/5.60 % (1107328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.59/5.60 % (1107328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.59/5.60 % (1107328)CaDiCaL version: 2.1.3
% 35.59/5.60 % (1107328)Termination reason: Instruction limit
% 35.59/5.60 % (1107328)Termination phase: Saturation
% 35.59/5.60 % (1107328)Time elapsed: 1.611 s
% 35.59/5.60 % (1107328)Peak memory usage: 33 MB
% 35.59/5.60 % (1107328)Instructions burned: 5116 (million)
% 35.59/5.60 % (1107334)dis+21_1_sil=32000:sas=cadical:random_seed=1970708347:i=3773:amm=off_2952 on theBenchmark for (2952ds/3773Mi)
% 0.17/5.60 % TRYING [6]
% 0.17/5.60 % (1107334) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1107272-1107334"...
% 0.17/5.60 % (1107334)...printing done.
% 0.17/5.60 % (1107334)Refutation found. Thanks to Tanya!
% 0.17/5.60 % SZS status Unsatisfiable for theBenchmark
% 0.17/5.60 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/5.60 % (1107334)------------------------------
% 0.17/5.60 % (1107334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/5.60 % (1107334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/5.60 % (1107334)CaDiCaL version: 2.1.3
% 0.17/5.60 % (1107334)Termination reason: Refutation
% 0.17/5.60 % (1107334)Time elapsed: 0.392 s
% 0.17/5.60 % (1107334)Peak memory usage: 21 MB
% 0.17/5.60 % (1107334)Instructions burned: 1169 (million)
% 0.17/5.60 % (1107272)Success in time 5.174 s
% 0.17/5.60 % Vampire exiting
%------------------------------------------------------------------------------