%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET094+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 12:43:04 PM UTC 2026
% Result : Theorem 0.17s 0.47s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 8 unt; 0 def)
% Number of atoms : 51 ( 31 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 48 ( 16 ~; 14 |; 15 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 24 ( 20 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1,X2] :
( member(X0,unordered_pair(X1,X2))
<=> ( member(X0,universal_class)
& ( X0 = X1
| X0 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',unordered_pair_defn) ).
fof(f6,axiom,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',singleton_set_defn) ).
fof(f48,conjecture,
! [X0,X1] :
( ( singleton(member_of(X0)) = X0
& member(X1,X0) )
=> member_of(X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_of_singletons1_1) ).
fof(f49,negated_conjecture,
~ ! [X0,X1] :
( ( singleton(member_of(X0)) = X0
& member(X1,X0) )
=> member_of(X0) = X1 ),
inference(negated_conjecture,[status(cth)],[f48]) ).
fof(f66,plain,
? [X0,X1] :
( member_of(X0) != X1
& singleton(member_of(X0)) = X0
& member(X1,X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f67,plain,
? [X0,X1] :
( member_of(X0) != X1
& singleton(member_of(X0)) = X0
& member(X1,X0) ),
inference(flattening,[],[f66]) ).
fof(f73,plain,
! [X0,X1,X2] :
( ( member(X0,unordered_pair(X1,X2))
| ~ member(X0,universal_class)
| ( X0 != X1
& X0 != X2 ) )
& ( ( member(X0,universal_class)
& ( X0 = X1
| X0 = X2 ) )
| ~ member(X0,unordered_pair(X1,X2)) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ( member(X0,unordered_pair(X1,X2))
| ~ member(X0,universal_class)
| ( X0 != X1
& X0 != X2 ) )
& ( ( member(X0,universal_class)
& ( X0 = X1
| X0 = X2 ) )
| ~ member(X0,unordered_pair(X1,X2)) ) ),
inference(flattening,[],[f73]) ).
fof(f110,plain,
( sK7 != member_of(sK6)
& sK6 = singleton(member_of(sK6))
& member(sK7,sK6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X0,sK6),skolemize(X1,sK7)],[f67]) ).
fof(f118,plain,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X2
| X0 = X1 ),
inference(cnf_transformation,[],[f74]) ).
fof(f123,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f202,plain,
member(sK7,sK6),
inference(cnf_transformation,[],[f110]) ).
fof(f203,plain,
sK6 = singleton(member_of(sK6)),
inference(cnf_transformation,[],[f110]) ).
fof(f204,plain,
sK7 != member_of(sK6),
inference(cnf_transformation,[],[f110]) ).
fof(f245,plain,
sK6 = unordered_pair(member_of(sK6),member_of(sK6)),
inference(definition_unfolding,[],[f203,f123]) ).
fof(f467,plain,
! [X0] :
( ~ member(X0,sK6)
| member_of(sK6) = X0
| member_of(sK6) = X0 ),
inference(superposition,[],[f118,f245]) ).
fof(f468,plain,
! [X0] :
( ~ member(X0,sK6)
| member_of(sK6) = X0 ),
inference(duplicate_literal_removal,[],[f467]) ).
fof(f480,plain,
sK7 = member_of(sK6),
inference(resolution,[],[f468,f202]) ).
fof(f481,plain,
$false,
inference(forward_subsumption_resolution,[],[f480,f204]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET094+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n026.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 00:42:41 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 0.17/0.47 % (3368571)Will run a generic schedule for satisfiability detection.
% 0.17/0.47 % (3368582)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=630131414:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.47 % (3368577)% WARNING: option uhcvi not known.
% 0.17/0.47 % (3368578)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1969123958:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.47 % (3368576)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3511280710_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.47 % (3368577)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4003004288:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.47 % (3368579)dis+10_1_sil=32000:sp=arity:random_seed=3866536206:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.47 % (3368580)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3424890159:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.47 % (3368581)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4259870555:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.47 % (3368579) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3368571-3368579"...
% 0.17/0.47 % (3368580) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3368571-3368580"...
% 0.17/0.47 % (3368579)...printing done.
% 0.17/0.47 % (3368577) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3368571-3368577"...
% 0.17/0.47 % (3368579)Refutation found. Thanks to Tanya!
% 0.17/0.47 % SZS status Theorem for theBenchmark
% 0.17/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.47 % (3368579)------------------------------
% 0.17/0.47 % (3368579)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47 % (3368579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47 % (3368579)CaDiCaL version: 2.1.3
% 0.17/0.47 % (3368579)Termination reason: Refutation
% 0.17/0.47 % (3368579)Time elapsed: 0.009 s
% 0.17/0.47 % (3368579)Peak memory usage: 12 MB
% 0.17/0.47 % (3368579)Instructions burned: 12 (million)
% 0.17/0.47 % (3368571)Success in time 0.042 s
% 0.17/0.47 % Vampire exiting
%------------------------------------------------------------------------------