%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET060+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 12:42:51 PM UTC 2026
% Result : Theorem 0.11s 0.46s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 9 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 48 ( 21 ~; 15 |; 10 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 29 ( 27 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,axiom,
! [X0,X1,X2] :
( member(X2,intersection(X0,X1))
<=> ( member(X2,X0)
& member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',intersection) ).
fof(f14,axiom,
! [X0,X1] :
( member(X1,complement(X0))
<=> ( member(X1,universal_class)
& ~ member(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',complement) ).
fof(f44,conjecture,
! [X0,X1] : ~ member(X1,intersection(complement(X0),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',special_classes_lemma) ).
fof(f45,negated_conjecture,
~ ! [X0,X1] : ~ member(X1,intersection(complement(X0),X0)),
inference(negated_conjecture,[status(cth)],[f44]) ).
fof(f60,plain,
? [X0,X1] : member(X1,intersection(complement(X0),X0)),
inference(ennf_transformation,[],[f45]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ( member(X2,intersection(X0,X1))
| ~ member(X2,X0)
| ~ member(X2,X1) )
& ( ( member(X2,X0)
& member(X2,X1) )
| ~ member(X2,intersection(X0,X1)) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f73,plain,
! [X0,X1,X2] :
( ( member(X2,intersection(X0,X1))
| ~ member(X2,X0)
| ~ member(X2,X1) )
& ( ( member(X2,X0)
& member(X2,X1) )
| ~ member(X2,intersection(X0,X1)) ) ),
inference(flattening,[],[f72]) ).
fof(f74,plain,
! [X0,X1] :
( ( member(X1,complement(X0))
| ~ member(X1,universal_class)
| member(X1,X0) )
& ( ( member(X1,universal_class)
& ~ member(X1,X0) )
| ~ member(X1,complement(X0)) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f75,plain,
! [X0,X1] :
( ( member(X1,complement(X0))
| ~ member(X1,universal_class)
| member(X1,X0) )
& ( ( member(X1,universal_class)
& ~ member(X1,X0) )
| ~ member(X1,complement(X0)) ) ),
inference(flattening,[],[f74]) ).
fof(f103,plain,
member(sK7,intersection(complement(sK6),sK6)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X0,sK6),skolemize(X1,sK7)],[f60]) ).
fof(f128,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f129,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f131,plain,
! [X0,X1] :
( ~ member(X1,complement(X0))
| ~ member(X1,X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f191,plain,
member(sK7,intersection(complement(sK6),sK6)),
inference(cnf_transformation,[],[f103]) ).
fof(f269,plain,
member(sK7,sK6),
inference(resolution,[],[f128,f191]) ).
fof(f273,plain,
member(sK7,complement(sK6)),
inference(resolution,[],[f129,f191]) ).
fof(f275,plain,
~ member(sK7,sK6),
inference(resolution,[],[f273,f131]) ).
fof(f276,plain,
$false,
inference(forward_subsumption_resolution,[],[f275,f269]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET060+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n020.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 00:25:34 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.11/0.46 % (3918675)Will run a generic schedule for satisfiability detection.
% 0.11/0.46 % (3918680)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2469978047_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.46 % (3918681)% WARNING: option uhcvi not known.
% 0.11/0.46 % (3918682)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3067245710:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.46 % (3918681)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=845315786:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.46 % (3918683)dis+10_1_sil=32000:sp=arity:random_seed=2293796357:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.46 % (3918684)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=592697737:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.46 % (3918686)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1226559176:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.46 % (3918685)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=553066086:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.46 % (3918683) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3918675-3918683"...
% 0.11/0.46 % (3918684) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3918675-3918684"...
% 0.11/0.46 % (3918681) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3918675-3918681"...
% 0.11/0.46 % (3918683)...printing done.
% 0.11/0.46 % (3918684)...printing done.
% 0.11/0.46 % (3918685) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3918675-3918685"...
% 0.11/0.46 % (3918683)Refutation found. Thanks to Tanya!
% 0.11/0.46 % SZS status Theorem for theBenchmark
% 0.11/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.46 % (3918683)------------------------------
% 0.17/0.46 % (3918683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.46 % (3918683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.46 % (3918683)CaDiCaL version: 2.1.3
% 0.17/0.46 % (3918683)Termination reason: Refutation
% 0.17/0.46 % (3918683)Time elapsed: 0.005 s
% 0.17/0.46 % (3918683)Peak memory usage: 11 MB
% 0.17/0.46 % (3918683)Instructions burned: 6 (million)
% 0.17/0.46 % (3918675)Success in time 0.038 s
% 0.17/0.46 % Vampire exiting
%------------------------------------------------------------------------------