%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU503_8 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 12:53:30 PM UTC 2026
% Result : Theorem 0.12s 0.46s
% Output : Refutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU503_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n005.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 05:40:47 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 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
% 0.12/0.46 % (500224)Will run a generic schedule for satisfiability detection.
% 0.12/0.46 % (500233)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3475508065:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.12/0.46 % (500233) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-500224-500233"...
% 0.12/0.46 % (500233)...printing done.
% 0.12/0.46 % (500233)Refutation found. Thanks to Tanya!
% 0.12/0.46 % SZS status Theorem for theBenchmark
% 0.12/0.46 % SZS output start Proof for theBenchmark
% 0.12/0.46 fof(f1,axiom,(
% 0.12/0.46 (emptysetE = ! [X0] : (in(X0,emptyset) => ! [X1 : $o] : X1))),
% 0.12/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',emptysetE)).
% 0.12/0.46 fof(f2,conjecture,(
% 0.12/0.46 emptysetE => ! [X0] : ~in(X0,emptyset)),
% 0.12/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notinemptyset)).
% 0.12/0.46 fof(f3,negated_conjecture,(
% 0.12/0.46 ~(emptysetE => ! [X0] : ~in(X0,emptyset))),
% 0.12/0.46 inference(negated_conjecture,[status(cth)],[f2])).
% 0.12/0.46 fof(f4,plain,(
% 0.12/0.46 (emptysetE = ! [X0] : (in(X0,emptyset) => ! [X1 : $o] : X1))),
% 0.12/0.46 inference(rectify,[],[f1])).
% 0.12/0.46 fof(f5,plain,(
% 0.12/0.46 emptysetE <=> ! [X0] : (in(X0,emptyset) => ! [X1 : $o] : X1)),
% 0.12/0.46 inference(flattening,[],[f4])).
% 0.12/0.46 fof(f6,plain,(
% 0.12/0.46 emptysetE => ! [X0] : (in(X0,emptyset) => ! [X1 : $o] : X1)),
% 0.12/0.46 inference(unused_predicate_definition_removal,[],[f5])).
% 0.12/0.46 fof(f7,plain,(
% 0.12/0.46 ! [X0] : (! [X1 : $o] : X1 | ~in(X0,emptyset)) | ~emptysetE),
% 0.12/0.46 inference(ennf_transformation,[],[f6])).
% 0.12/0.46 fof(f8,plain,(
% 0.12/0.46 ? [X0] : in(X0,emptyset) & emptysetE),
% 0.12/0.46 inference(ennf_transformation,[],[f3])).
% 0.12/0.46 fof(f9,plain,(
% 0.12/0.46 ( ! [X0] : (~emptysetE | ~in(X0,emptyset)) )),
% 0.12/0.46 inference(cnf_transformation,[],[f7])).
% 0.12/0.46 fof(f10,plain,(
% 0.12/0.46 emptysetE),
% 0.12/0.46 inference(cnf_transformation,[],[f8])).
% 0.12/0.46 fof(f11,plain,(
% 0.12/0.46 in(sK0,emptyset)),
% 0.12/0.46 inference(cnf_transformation,[],[f8])).
% 0.12/0.46 fof(f12,plain,(
% 0.12/0.46 ( ! [X0] : (~in(X0,emptyset)) )),
% 0.12/0.46 inference(forward_subsumption_resolution,[],[f9,f10])).
% 0.12/0.46 fof(f13,plain,(
% 0.12/0.46 $false),
% 0.12/0.46 inference(resolution,[],[f12,f11])).
% 0.12/0.46 % SZS output end Proof for theBenchmark
% 0.12/0.46 % (500233)------------------------------
% 0.12/0.46 % (500233)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.46 % (500233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.46 % (500233)CaDiCaL version: 2.1.3
% 0.12/0.46 % (500233)Termination reason: Refutation
% 0.12/0.46 % (500233)Time elapsed: 0.001 s
% 0.12/0.46 % (500233)Peak memory usage: 11 MB
% 0.12/0.46 % (500224)Success in time 0.025 s
% 0.12/0.46 % Vampire exiting
%------------------------------------------------------------------------------