%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET095+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 : n002.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 12:43:05 PM UTC 2026
% Result : Theorem 0.13s 0.44s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 10 unt; 0 def)
% Number of atoms : 35 ( 9 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 24 ( 9 ~; 7 |; 2 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 24 ( 22 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subclass(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',subclass_defn) ).
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(f44,conjecture,
! [X0,X1] :
( member(X0,X1)
=> subclass(singleton(X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_of_singletons2) ).
fof(f45,negated_conjecture,
~ ! [X0,X1] :
( member(X0,X1)
=> subclass(singleton(X0),X1) ),
inference(negated_conjecture,[status(cth)],[f44]) ).
fof(f47,plain,
! [X0,X1] :
( subclass(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f60,plain,
? [X0,X1] :
( ~ subclass(singleton(X0),X1)
& member(X0,X1) ),
inference(ennf_transformation,[],[f45]) ).
fof(f62,plain,
! [X0,X1] :
( subclass(X0,X1)
| member(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f63,plain,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f70,plain,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
inference(cnf_transformation,[],[f4]) ).
fof(f73,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f148,plain,
member(sK6,sK7),
inference(cnf_transformation,[],[f60]) ).
fof(f149,plain,
~ subclass(singleton(sK6),sK7),
inference(cnf_transformation,[],[f60]) ).
fof(f187,plain,
~ subclass(unordered_pair(sK6,sK6),sK7),
inference(definition_unfolding,[],[f149,f73]) ).
fof(f203,plain,
member(sK0(unordered_pair(sK6,sK6),sK7),unordered_pair(sK6,sK6)),
inference(resolution,[],[f62,f187]) ).
fof(f204,plain,
~ member(sK0(unordered_pair(sK6,sK6),sK7),sK7),
inference(resolution,[],[f63,f187]) ).
fof(f356,plain,
( sK6 = sK0(unordered_pair(sK6,sK6),sK7)
| sK6 = sK0(unordered_pair(sK6,sK6),sK7) ),
inference(resolution,[],[f70,f203]) ).
fof(f359,plain,
sK6 = sK0(unordered_pair(sK6,sK6),sK7),
inference(duplicate_literal_removal,[],[f356]) ).
fof(f363,plain,
~ member(sK6,sK7),
inference(superposition,[],[f204,f359]) ).
fof(f365,plain,
$false,
inference(forward_subsumption_resolution,[],[f363,f148]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET095+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.35 % Computer : n002.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 28 00:42:22 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38 Running first-order model finding
% 0.13/0.38 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
% 0.13/0.44 % (4050763)Will run a generic schedule for satisfiability detection.
% 0.13/0.44 % (4050773)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=866523937:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.13/0.44 % (4050769)% WARNING: option uhcvi not known.
% 0.13/0.44 % (4050770)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3130916117:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.13/0.44 % (4050768)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4097733325_2999 on theBenchmark for (2999ds/0Mi)
% 0.13/0.44 % (4050774)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=66359531:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.13/0.44 % (4050769)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=440697501:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.13/0.44 % (4050771)dis+10_1_sil=32000:sp=arity:random_seed=1849154599:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.13/0.44 % (4050772)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4103554035:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.13/0.44 % (4050772) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4050763-4050772"...
% 0.13/0.44 % (4050772)...printing done.
% 0.13/0.44 % (4050772)Refutation found. Thanks to Tanya!
% 0.13/0.44 % SZS status Theorem for theBenchmark
% 0.13/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.44 % (4050772)------------------------------
% 0.13/0.44 % (4050772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.44 % (4050772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.44 % (4050772)CaDiCaL version: 2.1.3
% 0.13/0.44 % (4050772)Termination reason: Refutation
% 0.13/0.44 % (4050772)Time elapsed: 0.009 s
% 0.13/0.44 % (4050772)Peak memory usage: 12 MB
% 0.13/0.44 % (4050772)Instructions burned: 13 (million)
% 0.13/0.44 % (4050763)Success in time 0.046 s
% 0.13/0.44 % Vampire exiting
%------------------------------------------------------------------------------