%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU123+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 : n020.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 12:51:59 PM UTC 2026
% Result : Theorem 0.12s 0.45s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 6 unt; 0 def)
% Number of atoms : 20 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 6 ~; 3 |; 2 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 9 ( 8 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f8,axiom,
! [X0] : subset(empty_set,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_xboole_1) ).
fof(f9,conjecture,
! [X0] :
( subset(X0,empty_set)
=> X0 = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_xboole_1) ).
fof(f10,negated_conjecture,
~ ! [X0] :
( subset(X0,empty_set)
=> X0 = empty_set ),
inference(negated_conjecture,[status(cth)],[f9]) ).
fof(f17,plain,
? [X0] :
( empty_set != X0
& subset(X0,empty_set) ),
inference(ennf_transformation,[],[f10]) ).
fof(f22,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f2]) ).
fof(f27,plain,
! [X0] : subset(empty_set,X0),
inference(cnf_transformation,[],[f8]) ).
fof(f28,plain,
subset(sK2,empty_set),
inference(cnf_transformation,[],[f17]) ).
fof(f29,plain,
empty_set != sK2,
inference(cnf_transformation,[],[f17]) ).
fof(f45,plain,
( ~ subset(empty_set,sK2)
| empty_set = sK2 ),
inference(resolution,[],[f22,f28]) ).
fof(f47,plain,
empty_set = sK2,
inference(forward_subsumption_resolution,[],[f45,f27]) ).
fof(f49,plain,
$false,
inference(forward_subsumption_resolution,[],[f47,f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU123+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n020.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 03:38:35 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.12/0.45 % (4003186)Will run a generic schedule for satisfiability detection.
% 0.12/0.45 % (4003195)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=373059042:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.12/0.45 % (4003195) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4003186-4003195"...
% 0.12/0.45 % (4003195)...printing done.
% 0.12/0.45 % (4003195)Refutation found. Thanks to Tanya!
% 0.12/0.45 % SZS status Theorem for theBenchmark
% 0.12/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.45 % (4003195)------------------------------
% 0.12/0.45 % (4003195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.45 % (4003195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.45 % (4003195)CaDiCaL version: 2.1.3
% 0.12/0.45 % (4003195)Termination reason: Refutation
% 0.12/0.45 % (4003195)Time elapsed: 0.001 s
% 0.12/0.45 % (4003195)Peak memory usage: 12 MB
% 0.12/0.45 % (4003195)Instructions burned: 1 (million)
% 0.12/0.45 % (4003186)Success in time 0.025 s
% 0.12/0.45 % Vampire exiting
%------------------------------------------------------------------------------