%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET577+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 12:43:59 PM UTC 2026
% Result : Theorem 1.62s 0.74s
% Output : Refutation 1.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 5
% Syntax : Number of formulae : 48 ( 14 unt; 1 def)
% Number of atoms : 108 ( 24 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 87 ( 27 ~; 50 |; 1 &)
% ( 7 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 65 ( 0 sgn 62 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( member(X2,union(X0,X1))
<=> ( member(X2,X0)
| member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn) ).
fof(f3,axiom,
! [X0,X1] : union(X0,X1) = union(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_union) ).
fof(f6,axiom,
! [X0,X1] :
( X0 = X1
<=> ! [X2] :
( member(X2,X0)
<=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn) ).
fof(f7,conjecture,
! [X0,X1,X2] :
( ! [X3] :
( member(X3,X0)
<=> ( member(X3,X1)
| member(X3,X2) ) )
=> X0 = union(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th18) ).
fof(f8,negated_conjecture,
~ ! [X0,X1,X2] :
( ! [X3] :
( member(X3,X0)
<=> ( member(X3,X1)
| member(X3,X2) ) )
=> X0 = union(X1,X2) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f10,plain,
? [X0,X1,X2] :
( union(X1,X2) != X0
& ! [X3] :
( member(X3,X0)
<=> ( member(X3,X1)
| member(X3,X2) ) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f11,plain,
! [X2,X0,X1] :
( member(X2,X1)
| member(X2,X0)
| ~ member(X2,union(X0,X1)) ),
inference(cnf_transformation,[],[f1]) ).
fof(f12,plain,
! [X2,X0,X1] :
( ~ member(X2,X1)
| member(X2,union(X0,X1)) ),
inference(cnf_transformation,[],[f1]) ).
fof(f13,plain,
! [X2,X0,X1] :
( ~ member(X2,X0)
| member(X2,union(X0,X1)) ),
inference(cnf_transformation,[],[f1]) ).
fof(f17,plain,
! [X0,X1] : union(X0,X1) = union(X1,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f24,plain,
! [X0,X1] :
( member(sK1(X0,X1),X1)
| member(sK1(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f6]) ).
fof(f25,plain,
! [X0,X1] :
( ~ member(sK1(X0,X1),X1)
| ~ member(sK1(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f6]) ).
fof(f26,plain,
! [X3] :
( member(X3,sK4)
| member(X3,sK3)
| ~ member(X3,sK2) ),
inference(cnf_transformation,[],[f10]) ).
fof(f27,plain,
! [X3] :
( ~ member(X3,sK4)
| member(X3,sK2) ),
inference(cnf_transformation,[],[f10]) ).
fof(f28,plain,
! [X3] :
( ~ member(X3,sK3)
| member(X3,sK2) ),
inference(cnf_transformation,[],[f10]) ).
fof(f29,plain,
sK2 != union(sK3,sK4),
inference(cnf_transformation,[],[f10]) ).
fof(f34,plain,
! [X2,X0,X1] :
( ~ member(X2,union(X0,X1))
| member(X2,X0) ),
inference(consistent_polarity_flipping,[],[f13]) ).
fof(f35,plain,
! [X2,X0,X1] :
( ~ member(X2,union(X0,X1))
| member(X2,X1) ),
inference(consistent_polarity_flipping,[],[f12]) ).
fof(f36,plain,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ member(X2,X1)
| member(X2,union(X0,X1)) ),
inference(consistent_polarity_flipping,[],[f11]) ).
fof(f44,plain,
! [X0,X1] :
( member(sK1(X0,X1),X1)
| member(sK1(X0,X1),X0)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f25]) ).
fof(f45,plain,
! [X0,X1] :
( ~ member(sK1(X0,X1),X1)
| ~ member(sK1(X0,X1),X0)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f24]) ).
fof(f48,plain,
! [X3] :
( ~ member(X3,sK2)
| member(X3,sK3) ),
inference(consistent_polarity_flipping,[],[f28]) ).
fof(f49,plain,
! [X3] :
( ~ member(X3,sK2)
| member(X3,sK4) ),
inference(consistent_polarity_flipping,[],[f27]) ).
fof(f50,plain,
! [X3] :
( ~ member(X3,sK4)
| ~ member(X3,sK3)
| member(X3,sK2) ),
inference(consistent_polarity_flipping,[],[f26]) ).
fof(f63,plain,
! [X0] :
( member(sK1(X0,sK2),X0)
| member(sK1(X0,sK2),sK3)
| sK2 = X0 ),
inference(resolution,[],[f44,f48]) ).
fof(f68,plain,
! [X2,X0,X1] :
( member(sK1(union(X0,X1),X2),X2)
| member(sK1(union(X0,X1),X2),X0)
| union(X0,X1) = X2 ),
inference(resolution,[],[f44,f34]) ).
fof(f106,plain,
! [X0,X1] :
( member(sK1(union(X0,X1),sK2),sK3)
| member(sK1(union(X0,X1),sK2),X1)
| union(X0,X1) = sK2 ),
inference(resolution,[],[f63,f35]) ).
fof(f109,plain,
! [X0,X1] :
( ~ member(sK1(X0,sK2),X1)
| sK2 = X0
| member(sK1(X0,sK2),X0)
| member(sK1(X0,sK2),union(sK3,X1)) ),
inference(resolution,[],[f63,f36]) ).
fof(f361,plain,
! [X0,X1] :
( ~ member(sK1(union(sK4,X0),X1),sK3)
| union(sK4,X0) = X1
| member(sK1(union(sK4,X0),X1),X1)
| member(sK1(union(sK4,X0),X1),sK2) ),
inference(resolution,[],[f68,f50]) ).
fof(f993,plain,
! [X0] :
( member(sK1(union(X0,sK3),sK2),sK3)
| sK2 = union(X0,sK3) ),
inference(factoring,[],[f106]) ).
fof(f12101,plain,
( sK2 = union(sK4,sK3)
| sK2 = union(sK4,sK3)
| member(sK1(union(sK4,sK3),sK2),sK2)
| member(sK1(union(sK4,sK3),sK2),sK2) ),
inference(resolution,[],[f993,f361]) ).
fof(f12134,plain,
( sK2 = union(sK4,sK3)
| member(sK1(union(sK4,sK3),sK2),sK2) ),
inference(duplicate_literal_removal,[],[f12101]) ).
fof(f12140,plain,
( sK2 = union(sK3,sK4)
| member(sK1(union(sK4,sK3),sK2),sK2) ),
inference(forward_demodulation,[],[f12134,f17]) ).
fof(f12141,plain,
member(sK1(union(sK4,sK3),sK2),sK2),
inference(forward_subsumption_resolution,[],[f12140,f29]) ).
fof(f12142,plain,
member(sK1(union(sK3,sK4),sK2),sK2),
inference(forward_demodulation,[],[f12141,f17]) ).
fof(f12145,plain,
( ~ member(sK1(union(sK3,sK4),sK2),union(sK3,sK4))
| sK2 = union(sK3,sK4) ),
inference(resolution,[],[f12142,f45]) ).
fof(f12156,plain,
member(sK1(union(sK3,sK4),sK2),sK4),
inference(resolution,[],[f12142,f49]) ).
fof(f12166,plain,
~ member(sK1(union(sK3,sK4),sK2),union(sK3,sK4)),
inference(forward_subsumption_resolution,[],[f12145,f29]) ).
fof(f12171,definition,
( spl5_111
<=> member(sK1(union(sK3,sK4),sK2),union(sK3,sK4)) ),
introduced(definition,[new_symbols(definition,[spl5_111])],[avatar_definition]) ).
fof(f12178,plain,
~ spl5_111,
inference(avatar_split_clause,[],[f12166,f12171]) ).
fof(f12359,plain,
( sK2 = union(sK3,sK4)
| member(sK1(union(sK3,sK4),sK2),union(sK3,sK4))
| member(sK1(union(sK3,sK4),sK2),union(sK3,sK4)) ),
inference(resolution,[],[f12156,f109]) ).
fof(f12373,plain,
( sK2 = union(sK3,sK4)
| member(sK1(union(sK3,sK4),sK2),union(sK3,sK4)) ),
inference(duplicate_literal_removal,[],[f12359]) ).
fof(f12378,plain,
member(sK1(union(sK3,sK4),sK2),union(sK3,sK4)),
inference(forward_subsumption_resolution,[],[f12373,f29]) ).
fof(f12386,plain,
spl5_111,
inference(avatar_split_clause,[],[f12378,f12171]) ).
cnf(s222,plain,
~ spl5_111,
inference(sat_conversion,[],[f12178]) ).
cnf(s227,plain,
spl5_111,
inference(sat_conversion,[],[f12386]) ).
cnf(s230,plain,
$false,
inference(rat,[],[s222,s227]) ).
fof(f12397,plain,
$false,
inference(avatar_sat_refutation,[],[s230]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET577+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n019.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Mon Sep 28 02:12:34 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.43 Running first-order model finding
% 0.11/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.62/0.74 % (3594031)Will run a generic schedule for satisfiability detection.
% 1.62/0.74 % (3594038)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2273747030:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.62/0.74 % (3594037)% WARNING: option uhcvi not known.
% 1.62/0.74 % (3594037)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4231891224:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.62/0.74 % (3594036)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3505387653_2999 on theBenchmark for (2999ds/0Mi)
% 1.62/0.74 % (3594039)dis+10_1_sil=32000:sp=arity:random_seed=738473161:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.62/0.74 % (3594040)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=489318324:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.62/0.74 % (3594041)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=846447944:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.62/0.74 % (3594042)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1503575111:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.62/0.74 % TRYING [1]
% 1.62/0.74 % TRYING [2]
% 1.62/0.74 % TRYING [3]
% 1.62/0.74 % TRYING [4]
% 1.62/0.74 % TRYING [5]
% 1.62/0.74 % TRYING [6]
% 1.62/0.74 % (3594039)Instruction limit reached!
% 1.62/0.74 % (3594039)------------------------------
% 1.62/0.74 % (3594039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.62/0.74 % (3594039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/0.74 % (3594039)CaDiCaL version: 2.1.3
% 1.62/0.74 % (3594039)Termination reason: Instruction limit
% 1.62/0.74 % (3594039)Termination phase: Saturation
% 1.62/0.74 % (3594039)Time elapsed: 0.055 s
% 1.62/0.74 % (3594039)Peak memory usage: 12 MB
% 1.62/0.74 % (3594039)Instructions burned: 103 (million)
% 1.62/0.74 % TRYING [7]
% 1.62/0.74 % (3594040)Instruction limit reached!
% 1.62/0.74 % (3594040)------------------------------
% 1.62/0.74 % (3594040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.62/0.74 % (3594040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/0.74 % (3594040)CaDiCaL version: 2.1.3
% 1.62/0.74 % (3594040)Termination reason: Instruction limit
% 1.62/0.74 % (3594040)Termination phase: Saturation
% 1.62/0.74 % (3594040)Time elapsed: 0.064 s
% 1.62/0.74 % (3594040)Peak memory usage: 12 MB
% 1.62/0.74 % (3594040)Instructions burned: 116 (million)
% 1.62/0.74 % (3594041)Instruction limit reached!
% 1.62/0.74 % (3594041)------------------------------
% 1.62/0.74 % (3594041)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.62/0.74 % (3594041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/0.74 % (3594041)CaDiCaL version: 2.1.3
% 1.62/0.74 % (3594041)Termination reason: Instruction limit
% 1.62/0.74 % (3594041)Termination phase: Saturation
% 1.62/0.74 % (3594041)Time elapsed: 0.074 s
% 1.62/0.74 % (3594041)Peak memory usage: 12 MB
% 1.62/0.74 % (3594041)Instructions burned: 131 (million)
% 1.62/0.74 % (3594050)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3796057914:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.62/0.74 % TRYING [1]
% 1.62/0.74 % TRYING [2]
% 1.62/0.74 % TRYING [3]
% 1.62/0.74 % TRYING [4]
% 1.62/0.74 % (3594051)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1151058655:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.62/0.74 % TRYING [5]
% 1.62/0.74 % (3594053)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=2593080087:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.62/0.74 % (3594042)Instruction limit reached!
% 1.62/0.74 % (3594042)------------------------------
% 1.62/0.74 % (3594042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.62/0.74 % (3594042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/0.74 % (3594042)CaDiCaL version: 2.1.3
% 1.62/0.74 % (3594042)Termination reason: Instruction limit
% 1.62/0.74 % (3594042)Termination phase: Saturation
% 1.62/0.74 % (3594042)Time elapsed: 0.095 s
% 1.62/0.74 % (3594042)Peak memory usage: 13 MB
% 1.62/0.74 % (3594042)Instructions burned: 160 (million)
% 1.62/0.74 % (3594056)ott-21_1_sil=16000:fs=off:random_seed=1477466857:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.62/0.74 % TRYING [6]
% 1.62/0.74 % TRYING [8]
% 1.62/0.74 % (3594051)Instruction limit reached!
% 1.62/0.74 % (3594051)------------------------------
% 1.62/0.74 % (3594051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.62/0.74 % (3594051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/0.74 % (3594051)CaDiCaL version: 2.1.3
% 1.62/0.74 % (3594051)Termination reason: Instruction limit
% 1.62/0.74 % (3594051)Termination phase: Saturation
% 1.62/0.74 % (3594051)Time elapsed: 0.081 s
% 1.62/0.74 % (3594051)Peak memory usage: 13 MB
% 1.62/0.74 % (3594051)Instructions burned: 132 (million)
% 1.62/0.74 % (3594058)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3300864544:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.62/0.74 % (3594056)Instruction limit reached!
% 1.62/0.74 % (3594056)------------------------------
% 1.62/0.74 % (3594056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.62/0.74 % (3594056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/0.74 % (3594056)CaDiCaL version: 2.1.3
% 1.62/0.74 % (3594056)Termination reason: Instruction limit
% 1.62/0.74 % (3594056)Termination phase: Saturation
% 1.62/0.74 % (3594056)Time elapsed: 0.093 s
% 1.62/0.74 % (3594056)Peak memory usage: 12 MB
% 1.62/0.74 % (3594056)Instructions burned: 181 (million)
% 1.62/0.74 % (3594060)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1182371794:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.62/0.74 % TRYING [1]
% 1.62/0.74 % TRYING [2]
% 1.62/0.74 % TRYING [3]
% 1.62/0.74 % TRYING [4]
% 1.62/0.74 % TRYING [5]
% 1.62/0.74 % TRYING [7]
% 1.62/0.74 % TRYING [6]
% 1.62/0.74 % (3594037) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3594031-3594037"...
% 1.62/0.74 % (3594037)...printing done.
% 1.62/0.74 % (3594037)Refutation found. Thanks to Tanya!
% 1.62/0.74 % SZS status Theorem for theBenchmark
% 1.62/0.74 % SZS output start Proof for theBenchmark
% See solution above
% 1.62/0.74 % (3594037)------------------------------
% 1.62/0.74 % (3594037)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.62/0.74 % (3594037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/0.74 % (3594037)CaDiCaL version: 2.1.3
% 1.62/0.74 % (3594037)Termination reason: Refutation
% 1.62/0.74 % (3594037)Time elapsed: 0.263 s
% 1.62/0.74 % (3594037)Peak memory usage: 15 MB
% 1.62/0.74 % (3594037)Instructions burned: 479 (million)
% 1.62/0.74 % (3594031)Success in time 0.301 s
% 1.62/0.74 % Vampire exiting
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