%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET093+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 : 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 12:43:04 PM UTC 2026
% Result : Theorem 0.11s 6.10s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 9 unt; 0 def)
% Number of atoms : 17 ( 8 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 4 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 9 ( 8 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',unordered_pair) ).
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] :
( singleton(member_of(X0)) = X0
=> member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_to_singletons_are_sets) ).
fof(f49,negated_conjecture,
~ ! [X0] :
( singleton(member_of(X0)) = X0
=> member(X0,universal_class) ),
inference(negated_conjecture,[status(cth)],[f48]) ).
fof(f66,plain,
? [X0] :
( ~ member(X0,universal_class)
& singleton(member_of(X0)) = X0 ),
inference(ennf_transformation,[],[f49]) ).
fof(f109,plain,
( ~ member(sK6,universal_class)
& sK6 = singleton(member_of(sK6)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X0,sK6)],[f66]) ).
fof(f121,plain,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
inference(cnf_transformation,[],[f5]) ).
fof(f122,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f201,plain,
sK6 = singleton(member_of(sK6)),
inference(cnf_transformation,[],[f109]) ).
fof(f202,plain,
~ member(sK6,universal_class),
inference(cnf_transformation,[],[f109]) ).
fof(f243,plain,
sK6 = unordered_pair(member_of(sK6),member_of(sK6)),
inference(definition_unfolding,[],[f201,f122]) ).
fof(f275,plain,
member(sK6,universal_class),
inference(superposition,[],[f121,f243]) ).
fof(f276,plain,
$false,
inference(forward_subsumption_resolution,[],[f275,f202]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET093+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/6.03 % Computer : n002.cluster.edu
% 0.11/6.03 % Model : x86_64 x86_64
% 0.11/6.03 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/6.03 % Memory : 8046.5625MB
% 0.11/6.03 % OS : Linux 6.8.0-71-generic
% 0.11/6.03 % CPULimit : 300
% 0.11/6.03 % WCLimit : 300
% 0.11/6.03 % DateTime : Mon Sep 28 00:42:02 UTC 2026
% 0.11/6.03 % CPUTime :
% 0.11/6.03 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/6.06 Running first-order model finding
% 0.11/6.06 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
% 0.11/6.10 % (4049928)Will run a generic schedule for satisfiability detection.
% 0.11/6.10 % (4049935)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=990314576:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/6.10 % (4049935) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4049928-4049935"...
% 0.11/6.10 % (4049935)...printing done.
% 0.11/6.10 % (4049934)% WARNING: option uhcvi not known.
% 0.11/6.10 % (4049935)Refutation found. Thanks to Tanya!
% 0.11/6.10 % SZS status Theorem for theBenchmark
% 0.11/6.10 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/6.10 % (4049935)------------------------------
% 0.11/6.10 % (4049935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/6.10 % (4049935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/6.10 % (4049935)CaDiCaL version: 2.1.3
% 0.11/6.10 % (4049935)Termination reason: Refutation
% 0.11/6.10 % (4049935)Time elapsed: 0.003 s
% 0.11/6.10 % (4049935)Peak memory usage: 12 MB
% 0.11/6.10 % (4049935)Instructions burned: 6 (million)
% 0.11/6.10 % (4049928)Success in time 0.033 s
% 0.11/6.10 % Vampire exiting
%------------------------------------------------------------------------------