%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET987+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 12:45:08 PM UTC 2026
% Result : Theorem 0.16s 0.52s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 7 unt; 0 def)
% Number of atoms : 23 ( 13 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 20 ( 12 ~; 2 |; 2 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 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 : 18 ( 16 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,conjecture,
! [X0,X1] :
( ~ in(X0,X1)
=> set_difference(set_union2(X1,singleton(X0)),singleton(X0)) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t141_zfmisc_1) ).
fof(f9,negated_conjecture,
~ ! [X0,X1] :
( ~ in(X0,X1)
=> set_difference(set_union2(X1,singleton(X0)),singleton(X0)) = X1 ),
inference(negated_conjecture,[status(cth)],[f8]) ).
fof(f10,axiom,
! [X0,X1] : set_difference(set_union2(X0,X1),X1) = set_difference(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t40_xboole_1) ).
fof(f11,axiom,
! [X0,X1] :
( set_difference(X0,singleton(X1)) = X0
<=> ~ in(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t65_zfmisc_1) ).
fof(f13,plain,
! [X0,X1] :
( ~ in(X1,X0)
=> set_difference(X0,singleton(X1)) = X0 ),
inference(unused_predicate_definition_removal,[],[f11]) ).
fof(f17,plain,
? [X0,X1] :
( set_difference(set_union2(X1,singleton(X0)),singleton(X0)) != X1
& ~ in(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f18,plain,
! [X0,X1] :
( set_difference(X0,singleton(X1)) = X0
| in(X1,X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f21,plain,
( sK3 != set_difference(set_union2(sK3,singleton(sK2)),singleton(sK2))
& ~ in(sK2,sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f17]) ).
fof(f29,plain,
~ in(sK2,sK3),
inference(cnf_transformation,[],[f21]) ).
fof(f30,plain,
sK3 != set_difference(set_union2(sK3,singleton(sK2)),singleton(sK2)),
inference(cnf_transformation,[],[f21]) ).
fof(f31,plain,
! [X0,X1] : set_difference(set_union2(X0,X1),X1) = set_difference(X0,X1),
inference(cnf_transformation,[],[f10]) ).
fof(f32,plain,
! [X0,X1] :
( in(X1,X0)
| set_difference(X0,singleton(X1)) = X0 ),
inference(cnf_transformation,[],[f18]) ).
fof(f41,plain,
sK3 != set_difference(sK3,singleton(sK2)),
inference(superposition,[],[f30,f31]) ).
fof(f42,plain,
sK3 = set_difference(sK3,singleton(sK2)),
inference(resolution,[],[f32,f29]) ).
fof(f44,plain,
$false,
inference(forward_subsumption_resolution,[],[f42,f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET987+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.44 % Computer : n013.cluster.edu
% 0.11/0.44 % Model : x86_64 x86_64
% 0.11/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.44 % Memory : 8046.5625MB
% 0.11/0.44 % OS : Linux 6.8.0-71-generic
% 0.11/0.44 % CPULimit : 300
% 0.11/0.44 % WCLimit : 300
% 0.11/0.44 % DateTime : Mon Sep 28 03:20:07 UTC 2026
% 0.11/0.45 % CPUTime :
% 0.11/0.45 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/0.48 Running first-order model finding
% 0.16/0.48 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
% 0.16/0.52 % (774116)Will run a generic schedule for satisfiability detection.
% 0.16/0.52 % (774124)dis+10_1_sil=32000:sp=arity:random_seed=3556881861:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.52 % (774124) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-774116-774124"...
% 0.16/0.52 % (774124)...printing done.
% 0.16/0.52 % (774122)% WARNING: option uhcvi not known.
% 0.16/0.52 % (774124)Refutation found. Thanks to Tanya!
% 0.16/0.52 % SZS status Theorem for theBenchmark
% 0.16/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.52 % (774124)------------------------------
% 0.16/0.52 % (774124)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.52 % (774124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.52 % (774124)CaDiCaL version: 2.1.3
% 0.16/0.52 % (774124)Termination reason: Refutation
% 0.16/0.52 % (774124)Time elapsed: 0.001 s
% 0.16/0.52 % (774124)Peak memory usage: 11 MB
% 0.16/0.52 % (774124)Instructions burned: 1 (million)
% 0.16/0.52 % (774116)Success in time 0.031 s
% 0.16/0.52 % Vampire exiting
%------------------------------------------------------------------------------