%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU143+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 12:52:04 PM UTC 2026
% Result : Theorem 0.11s 0.44s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 20 ( 11 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 10 ~; 4 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 17 ( 16 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( X1 = singleton(X0)
<=> ! [X2] :
( in(X2,X1)
<=> X2 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).
fof(f3,axiom,
! [X0] :
( X0 = empty_set
<=> ! [X1] : ~ in(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0) ).
fof(f7,conjecture,
! [X0] : singleton(X0) != empty_set,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1_zfmisc_1) ).
fof(f8,negated_conjecture,
~ ! [X0] : singleton(X0) != empty_set,
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f12,plain,
? [X0] : singleton(X0) = empty_set,
inference(ennf_transformation,[],[f8]) ).
fof(f14,plain,
! [X2,X0,X1] :
( X0 != X2
| in(X2,X1)
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f2]) ).
fof(f19,plain,
! [X0,X1] :
( ~ in(X1,X0)
| empty_set != X0 ),
inference(cnf_transformation,[],[f3]) ).
fof(f21,plain,
empty_set = singleton(sK2),
inference(cnf_transformation,[],[f12]) ).
fof(f25,plain,
! [X2,X1] :
( in(X2,X1)
| singleton(X2) != X1 ),
inference(equality_resolution,[],[f14]) ).
fof(f26,plain,
! [X2] : in(X2,singleton(X2)),
inference(equality_resolution,[],[f25]) ).
fof(f27,plain,
! [X1] : ~ in(X1,empty_set),
inference(equality_resolution,[],[f19]) ).
fof(f28,plain,
in(sK2,empty_set),
inference(superposition,[],[f26,f21]) ).
fof(f29,plain,
$false,
inference(forward_subsumption_resolution,[],[f28,f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU143+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n007.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 03:41:10 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.11/0.44 % (2004266)Will run a generic schedule for satisfiability detection.
% 0.11/0.44 % (2004275)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=390558833:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.44 % (2004275) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2004266-2004275"...
% 0.11/0.44 % (2004275)...printing done.
% 0.11/0.44 % (2004275)Refutation found. Thanks to Tanya!
% 0.11/0.44 % SZS status Theorem for theBenchmark
% 0.11/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.44 % (2004275)------------------------------
% 0.11/0.44 % (2004275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.44 % (2004275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.44 % (2004275)CaDiCaL version: 2.1.3
% 0.11/0.44 % (2004275)Termination reason: Refutation
% 0.11/0.44 % (2004275)Time elapsed: 0.001 s
% 0.11/0.44 % (2004275)Peak memory usage: 12 MB
% 0.11/0.44 % (2004275)Instructions burned: 1 (million)
% 0.11/0.44 % (2004266)Success in time 0.025 s
% 0.11/0.44 % Vampire exiting
%------------------------------------------------------------------------------