%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET129-6 : 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 : n011.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 12:43:13 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.48s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 31
% Syntax : Number of formulae : 113 ( 37 unt; 7 def)
% Number of atoms : 217 ( 42 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 169 ( 65 ~; 97 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 12 ( 10 usr; 8 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 8 con; 0-3 aty)
% Number of variables : 55 ( 0 sgn 55 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| 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(f8,axiom,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair_member) ).
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(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection3) ).
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(f48,axiom,
! [X0] :
( ~ inductive(X0)
| member(null_class,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',inductive1) ).
fof(f51,axiom,
inductive(omega),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',omega_is_inductive1) ).
fof(f56,axiom,
! [X0] : complement(image(element_relation,complement(X0))) = power_class(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',power_class_definition) ).
fof(f57,axiom,
! [X0] :
( ~ member(X0,universal_class)
| member(power_class(X0),universal_class) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',power_class2) ).
fof(f67,axiom,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',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/Axioms/SET004-0.ax',regularity2) ).
fof(f70,plain,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
inference(reorient_equations,[],[f69]) ).
fof(f101,axiom,
! [X0,X1] : union(singleton(X0),X1) = set_builder(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_of_set_builder) ).
fof(f102,negated_conjecture,
member(u,set_builder(x,set_builder(y,set_builder(z,null_class)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_members_of_built_triple_1) ).
fof(f103,negated_conjecture,
u != x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_members_of_built_triple_2) ).
fof(f104,negated_conjecture,
u != y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_members_of_built_triple_3) ).
fof(f105,negated_conjecture,
u != z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_members_of_built_triple_4) ).
fof(f107,plain,
! [X0] : range_of(X0) = domain_of(domain_of(flip(cross_product(X0,universal_class)))),
inference(definition_unfolding,[],[f40,f39]) ).
fof(f108,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,f107,f28]) ).
fof(f111,plain,
! [X0,X1] : set_builder(X0,X1) = complement(intersection(complement(unordered_pair(X0,X0)),complement(X1))),
inference(definition_unfolding,[],[f101,f26,f12]) ).
fof(f115,plain,
! [X0] : power_class(X0) = complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X0),universal_class)),universal_class))))),
inference(definition_unfolding,[],[f56,f108]) ).
fof(f135,plain,
! [X0] :
( member(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X0),universal_class)),universal_class))))),universal_class)
| ~ member(X0,universal_class) ),
inference(definition_unfolding,[],[f57,f115]) ).
fof(f155,plain,
member(u,complement(intersection(complement(unordered_pair(x,x)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))),
inference(definition_unfolding,[],[f102,f111,f111,f111]) ).
fof(f159,plain,
member(null_class,omega),
inference(resolution,[],[f48,f51]) ).
fof(f161,plain,
~ member(u,intersection(complement(unordered_pair(x,x)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),
inference(resolution,[],[f24,f155]) ).
fof(f163,plain,
! [X0] :
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(resolution,[],[f68,f24]) ).
fof(f166,plain,
! [X0,X1] :
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(resolution,[],[f1,f4]) ).
fof(f178,plain,
member(null_class,universal_class),
inference(resolution,[],[f166,f159]) ).
fof(f179,plain,
! [X0] :
( member(regular(X0),universal_class)
| null_class = X0 ),
inference(resolution,[],[f166,f68]) ).
fof(f180,plain,
member(u,universal_class),
inference(resolution,[],[f166,f155]) ).
fof(f196,plain,
! [X0,X1] :
( ~ member(X0,null_class)
| member(X0,X1)
| null_class = X1 ),
inference(superposition,[],[f21,f70]) ).
fof(f212,plain,
( ~ member(u,complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))
| ~ member(u,complement(unordered_pair(x,x))) ),
inference(resolution,[],[f23,f161]) ).
fof(f216,definition,
( spl0_1
<=> member(u,complement(unordered_pair(x,x))) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f218,plain,
( ~ member(u,complement(unordered_pair(x,x)))
| spl0_1 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f220,definition,
( spl0_2
<=> member(u,complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f222,plain,
( ~ member(u,complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))
| spl0_2 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f223,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f212,f220,f216]) ).
fof(f224,plain,
( ~ member(u,universal_class)
| member(u,unordered_pair(x,x))
| spl0_1 ),
inference(resolution,[],[f218,f25]) ).
fof(f225,plain,
( member(u,unordered_pair(x,x))
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f224,f180]) ).
fof(f232,plain,
( u = x
| u = x
| spl0_1 ),
inference(resolution,[],[f225,f8]) ).
fof(f234,plain,
( u = x
| spl0_1 ),
inference(duplicate_literal_removal,[],[f232]) ).
fof(f235,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f234,f103]) ).
fof(f236,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f235]) ).
fof(f241,plain,
( ~ member(u,universal_class)
| member(u,complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))
| spl0_2 ),
inference(resolution,[],[f222,f25]) ).
fof(f242,plain,
( member(u,complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f241,f180]) ).
fof(f243,plain,
( ~ member(u,intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))
| spl0_2 ),
inference(resolution,[],[f242,f24]) ).
fof(f246,plain,
( ~ member(u,complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))
| ~ member(u,complement(unordered_pair(y,y)))
| spl0_2 ),
inference(resolution,[],[f243,f23]) ).
fof(f248,definition,
( spl0_3
<=> member(u,complement(unordered_pair(y,y))) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f250,plain,
( ~ member(u,complement(unordered_pair(y,y)))
| spl0_3 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f252,definition,
( spl0_4
<=> member(u,complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f254,plain,
( ~ member(u,complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))
| spl0_4 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f255,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f246,f220,f252,f248]) ).
fof(f256,plain,
( ~ member(u,universal_class)
| member(u,unordered_pair(y,y))
| spl0_3 ),
inference(resolution,[],[f250,f25]) ).
fof(f257,plain,
( member(u,unordered_pair(y,y))
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f256,f180]) ).
fof(f258,plain,
( u = y
| u = y
| spl0_3 ),
inference(resolution,[],[f257,f8]) ).
fof(f260,plain,
( u = y
| spl0_3 ),
inference(duplicate_literal_removal,[],[f258]) ).
fof(f261,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f260,f104]) ).
fof(f262,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f261]) ).
fof(f272,plain,
( ~ member(u,universal_class)
| member(u,complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))
| spl0_4 ),
inference(resolution,[],[f254,f25]) ).
fof(f273,plain,
( member(u,complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f272,f180]) ).
fof(f274,plain,
( ~ member(u,intersection(complement(unordered_pair(z,z)),complement(null_class)))
| spl0_4 ),
inference(resolution,[],[f273,f24]) ).
fof(f278,plain,
( ~ member(u,complement(null_class))
| ~ member(u,complement(unordered_pair(z,z)))
| spl0_4 ),
inference(resolution,[],[f274,f23]) ).
fof(f280,definition,
( spl0_5
<=> member(u,complement(unordered_pair(z,z))) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f282,plain,
( ~ member(u,complement(unordered_pair(z,z)))
| spl0_5 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f284,definition,
( spl0_6
<=> member(u,complement(null_class)) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f286,plain,
( ~ member(u,complement(null_class))
| spl0_6 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f287,plain,
( ~ spl0_5
| ~ spl0_6
| spl0_4 ),
inference(avatar_split_clause,[],[f278,f252,f284,f280]) ).
fof(f291,plain,
( ~ member(u,universal_class)
| member(u,unordered_pair(z,z))
| spl0_5 ),
inference(resolution,[],[f282,f25]) ).
fof(f292,plain,
( member(u,unordered_pair(z,z))
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f291,f180]) ).
fof(f297,plain,
( u = z
| u = z
| spl0_5 ),
inference(resolution,[],[f292,f8]) ).
fof(f299,plain,
( u = z
| spl0_5 ),
inference(duplicate_literal_removal,[],[f297]) ).
fof(f300,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f299,f105]) ).
fof(f301,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f300]) ).
fof(f304,plain,
( ~ member(u,universal_class)
| member(u,null_class)
| spl0_6 ),
inference(resolution,[],[f286,f25]) ).
fof(f305,plain,
( member(u,null_class)
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f304,f180]) ).
fof(f497,plain,
( null_class = complement(universal_class)
| null_class = complement(universal_class) ),
inference(resolution,[],[f163,f179]) ).
fof(f507,plain,
null_class = complement(universal_class),
inference(duplicate_literal_removal,[],[f497]) ).
fof(f547,definition,
( spl0_22
<=> null_class = complement(universal_class) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f549,plain,
( null_class = complement(universal_class)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f551,plain,
spl0_22,
inference(avatar_split_clause,[],[f507,f547]) ).
fof(f555,plain,
( ! [X0] :
( ~ member(X0,null_class)
| ~ member(X0,universal_class) )
| ~ spl0_22 ),
inference(superposition,[],[f24,f549]) ).
fof(f556,plain,
( ! [X0] : ~ member(X0,null_class)
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f555,f166]) ).
fof(f580,plain,
( ! [X0] :
( member(u,X0)
| null_class = X0 )
| spl0_6 ),
inference(resolution,[],[f196,f305]) ).
fof(f626,plain,
( null_class = complement(null_class)
| spl0_6 ),
inference(resolution,[],[f580,f286]) ).
fof(f694,plain,
( member(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(null_class,universal_class)),universal_class))))),universal_class)
| ~ member(null_class,universal_class)
| spl0_6 ),
inference(superposition,[],[f135,f626]) ).
fof(f695,plain,
( ! [X0] :
( member(X0,null_class)
| ~ member(X0,universal_class)
| member(X0,null_class) )
| spl0_6 ),
inference(superposition,[],[f25,f626]) ).
fof(f698,plain,
( ! [X0] :
( member(X0,null_class)
| ~ member(X0,universal_class) )
| spl0_6 ),
inference(duplicate_literal_removal,[],[f695]) ).
fof(f699,plain,
( ! [X0] : ~ member(X0,universal_class)
| spl0_6
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f698,f556]) ).
fof(f700,plain,
( member(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(null_class,universal_class)),universal_class))))),universal_class)
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f694,f178]) ).
fof(f718,plain,
( $false
| spl0_6
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f700,f699]) ).
fof(f719,plain,
( spl0_6
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f718]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f223]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f236]) ).
cnf(s3,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f255]) ).
cnf(s4,plain,
spl0_3,
inference(sat_conversion,[],[f262]) ).
cnf(s5,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f287]) ).
cnf(s6,plain,
spl0_5,
inference(sat_conversion,[],[f301]) ).
cnf(s18,plain,
spl0_22,
inference(sat_conversion,[],[f551]) ).
cnf(s25,plain,
( spl0_6
| ~ spl0_22 ),
inference(sat_conversion,[],[f719]) ).
cnf(s29,plain,
spl0_6,
inference(rat,[],[s25,s18]) ).
cnf(s30,plain,
spl0_4,
inference(rat,[],[s5,s29,s6]) ).
cnf(s31,plain,
spl0_2,
inference(rat,[],[s3,s30,s4]) ).
cnf(s32,plain,
$false,
inference(rat,[],[s1,s31,s2]) ).
fof(f763,plain,
$false,
inference(avatar_sat_refutation,[],[s32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET129-6 : 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 : n011.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
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 28 00:51:31 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.12/0.48 % (2919455)Will run a generic schedule for satisfiability detection.
% 0.12/0.48 % (2919464)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1203073643:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.12/0.48 % (2919461)% WARNING: option uhcvi not known.
% 0.12/0.48 % (2919460)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2947840364_2999 on theBenchmark for (2999ds/0Mi)
% 0.12/0.48 % (2919462)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1940412616:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.12/0.48 % (2919463)dis+10_1_sil=32000:sp=arity:random_seed=1360858014:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.12/0.48 % (2919465)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3946912716:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.12/0.48 % (2919466)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2449972120:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.12/0.48 % (2919461)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1801082697:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.12/0.48 % (2919464) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2919455-2919464"...
% 0.12/0.48 % (2919464)...printing done.
% 0.12/0.48 % (2919464)Refutation found. Thanks to Tanya!
% 0.12/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.48 % (2919464)------------------------------
% 0.12/0.48 % (2919464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.48 % (2919464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.48 % (2919464)CaDiCaL version: 2.1.3
% 0.12/0.48 % (2919464)Termination reason: Refutation
% 0.12/0.48 % (2919464)Time elapsed: 0.016 s
% 0.12/0.48 % (2919464)Peak memory usage: 13 MB
% 0.12/0.48 % (2919464)Instructions burned: 47 (million)
% 0.12/0.48 % (2919455)Success in time 0.049 s
% 0.12/0.48 % Vampire exiting
%------------------------------------------------------------------------------