%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : TOP002-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n008.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 02:34:18 PM UTC 2026
% Result : Unsatisfiable 0.29s 0.27s
% Output : Refutation 0.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of formulae : 5 ( 4 unt; 0 def)
% Number of atoms : 6 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 3 ( 2 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( element_of_set(f11(X1,X0),X0)
| element_of_collection(X0,top_of_basis(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',topology_generated_40) ).
fof(f2,axiom,
! [X0] : ~ element_of_set(X0,empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_theory_6) ).
fof(f3,negated_conjecture,
~ element_of_collection(empty_set,top_of_basis(f)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1b_2) ).
fof(f4,plain,
! [X0] : element_of_collection(empty_set,top_of_basis(X0)),
inference(resolution,[],[f1,f2]) ).
fof(f5,plain,
$false,
inference(resolution,[],[f4,f3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : TOP002-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.20 % Computer : n008.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Mon Sep 28 18:48:54 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.23 Running first-order model finding
% 0.07/0.23 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
% 0.29/0.27 % (2521481)Will run a generic schedule for satisfiability detection.
% 0.29/0.27 % (2521490)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1414611502:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.29/0.27 % (2521490) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2521481-2521490"...
% 0.29/0.27 % (2521490)...printing done.
% 0.29/0.27 % (2521490)Refutation found. Thanks to Tanya!
% 0.29/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.29/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.29/0.27 % (2521490)------------------------------
% 0.29/0.27 % (2521490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.27 % (2521490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.27 % (2521490)CaDiCaL version: 2.1.3
% 0.29/0.27 % (2521490)Termination reason: Refutation
% 0.29/0.27 % (2521490)Time elapsed: 0.001 s
% 0.29/0.27 % (2521490)Peak memory usage: 11 MB
% 0.29/0.27 % (2521481)Success in time 0.028 s
% 0.29/0.27 % Vampire exiting
%------------------------------------------------------------------------------