%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU085+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n018.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 12:51:54 PM UTC 2026
% Result : Theorem 0.12s 5.89s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 4 unt; 0 def)
% Number of atoms : 18 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 6 ~; 2 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 13 ( 11 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X0,X1] :
( finite(X0)
=> finite(set_difference(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc12_finset_1) ).
fof(f49,conjecture,
! [X0,X1] :
( finite(X0)
=> finite(set_difference(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_finset_1) ).
fof(f50,negated_conjecture,
~ ! [X0,X1] :
( finite(X0)
=> finite(set_difference(X0,X1)) ),
inference(negated_conjecture,[status(cth)],[f49]) ).
fof(f99,plain,
! [X0,X1] :
( finite(set_difference(X0,X1))
| ~ finite(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f106,plain,
? [X0,X1] :
( ~ finite(set_difference(X0,X1))
& finite(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f142,plain,
( ~ finite(set_difference(sK26,sK27))
& finite(sK26) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26,sK27]),skolemize(X0,sK26),skolemize(X1,sK27)],[f106]) ).
fof(f167,plain,
! [X0,X1] :
( ~ finite(X0)
| finite(set_difference(X0,X1)) ),
inference(cnf_transformation,[],[f99]) ).
fof(f255,plain,
finite(sK26),
inference(cnf_transformation,[],[f142]) ).
fof(f256,plain,
~ finite(set_difference(sK26,sK27)),
inference(cnf_transformation,[],[f142]) ).
fof(f386,plain,
! [X0] : finite(set_difference(sK26,X0)),
inference(resolution,[],[f167,f255]) ).
fof(f398,plain,
$false,
inference(resolution,[],[f386,f256]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU085+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/5.81 % Computer : n018.cluster.edu
% 0.12/5.81 % Model : x86_64 x86_64
% 0.12/5.81 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.81 % Memory : 8046.5625MB
% 0.12/5.81 % OS : Linux 6.8.0-71-generic
% 0.12/5.81 % CPULimit : 300
% 0.12/5.81 % WCLimit : 300
% 0.12/5.81 % DateTime : Mon Sep 28 03:35:02 UTC 2026
% 0.12/5.82 % CPUTime :
% 0.12/5.82 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/5.84 Running first-order model finding
% 0.12/5.84 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/5.89 % (2969754)Will run a generic schedule for satisfiability detection.
% 0.12/5.89 % (2969764)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2378775412:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.12/5.89 % (2969760)% WARNING: option uhcvi not known.
% 0.12/5.89 % (2969764) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2969754-2969764"...
% 0.12/5.89 % (2969764)...printing done.
% 0.12/5.89 % (2969764)Refutation found. Thanks to Tanya!
% 0.12/5.89 % SZS status Theorem for theBenchmark
% 0.12/5.89 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/5.89 % (2969764)------------------------------
% 0.12/5.89 % (2969764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/5.89 % (2969764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/5.89 % (2969764)CaDiCaL version: 2.1.3
% 0.12/5.89 % (2969764)Termination reason: Refutation
% 0.12/5.89 % (2969764)Time elapsed: 0.002 s
% 0.12/5.89 % (2969764)Peak memory usage: 12 MB
% 0.12/5.89 % (2969764)Instructions burned: 6 (million)
% 0.12/5.89 % (2969754)Success in time 0.042 s
% 0.12/5.89 % Vampire exiting
%------------------------------------------------------------------------------