%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET063+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 12:42:53 PM UTC 2026
% Result : Theorem 0.10s 0.44s
% Output : Refutation 0.10s
% 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(f1,axiom,
! [X0] : subset(empty_set,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',empty_set_subset) ).
fof(f4,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_defn) ).
fof(f7,conjecture,
! [X0] :
( subset(X0,empty_set)
=> X0 = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_subset_of_empty_set_is_empty_set) ).
fof(f8,negated_conjecture,
~ ! [X0] :
( subset(X0,empty_set)
=> X0 = empty_set ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f10,plain,
? [X0] :
( empty_set != X0
& subset(X0,empty_set) ),
inference(ennf_transformation,[],[f8]) ).
fof(f11,plain,
! [X0] : subset(empty_set,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f18,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f4]) ).
fof(f20,plain,
subset(sK1,empty_set),
inference(cnf_transformation,[],[f10]) ).
fof(f21,plain,
empty_set != sK1,
inference(cnf_transformation,[],[f10]) ).
fof(f37,plain,
( ~ subset(empty_set,sK1)
| empty_set = sK1 ),
inference(resolution,[],[f18,f20]) ).
fof(f40,plain,
empty_set = sK1,
inference(forward_subsumption_resolution,[],[f37,f11]) ).
fof(f42,plain,
$false,
inference(forward_subsumption_resolution,[],[f40,f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET063+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n009.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 00:27:15 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 0.10/0.44 % (2562470)Will run a generic schedule for satisfiability detection.
% 0.10/0.44 % (2562479)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3038419627:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.44 % (2562479) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2562470-2562479"...
% 0.10/0.44 % (2562479)...printing done.
% 0.10/0.44 % (2562479)Refutation found. Thanks to Tanya!
% 0.10/0.44 % SZS status Theorem for theBenchmark
% 0.10/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.44 % (2562479)------------------------------
% 0.10/0.44 % (2562479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.44 % (2562479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.44 % (2562479)CaDiCaL version: 2.1.3
% 0.10/0.44 % (2562479)Termination reason: Refutation
% 0.10/0.44 % (2562479)Time elapsed: 0.001 s
% 0.10/0.44 % (2562479)Peak memory usage: 11 MB
% 0.10/0.44 % (2562479)Instructions burned: 1 (million)
% 0.10/0.44 % (2562470)Success in time 0.026 s
% 0.10/0.44 % Vampire exiting
%------------------------------------------------------------------------------