%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU519_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 : n006.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 12:53:34 PM UTC 2026
% Result : Theorem 0.16s 0.47s
% Output : Refutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU519_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n006.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 05:41:41 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/0.43 Running first-order model finding
% 0.16/0.43 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
% 0.16/0.47 % (3672341)Will run a generic schedule for satisfiability detection.
% 0.16/0.47 % (3672350)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2877316441:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.47 % (3672350) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3672341-3672350"...
% 0.16/0.47 % (3672350)...printing done.
% 0.16/0.47 % (3672350)Refutation found. Thanks to Tanya!
% 0.16/0.47 % SZS status Theorem for theBenchmark
% 0.16/0.47 % SZS output start Proof for theBenchmark
% 0.16/0.47 fof(f1,axiom,(
% 0.16/0.47 (emptysetE = ! [X0] : (in(X0,emptyset) => ! [X1 : $o] : X1))),
% 0.16/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',emptysetE)).
% 0.16/0.47 fof(f2,axiom,(
% 0.16/0.47 (powersetI = ! [X0,X1] : (! [X2] : (in(X2,X1) => in(X2,X0)) => in(X1,powerset(X0))))),
% 0.16/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',powersetI)).
% 0.16/0.47 fof(f3,conjecture,(
% 0.16/0.47 emptysetE => (powersetI => ! [X0] : in(emptyset,powerset(X0)))),
% 0.16/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',emptyinPowerset)).
% 0.16/0.47 fof(f4,negated_conjecture,(
% 0.16/0.47 ~(emptysetE => (powersetI => ! [X0] : in(emptyset,powerset(X0))))),
% 0.16/0.47 inference(negated_conjecture,[status(cth)],[f3])).
% 0.16/0.47 fof(f5,plain,(
% 0.16/0.47 (emptysetE = ! [X0] : (in(X0,emptyset) => ! [X1 : $o] : X1))),
% 0.16/0.47 inference(rectify,[],[f1])).
% 0.16/0.47 fof(f6,plain,(
% 0.16/0.47 emptysetE <=> ! [X0] : (in(X0,emptyset) => ! [X1 : $o] : X1)),
% 0.16/0.47 inference(flattening,[],[f5])).
% 0.16/0.47 fof(f7,plain,(
% 0.16/0.47 powersetI <=> ! [X0,X1] : (! [X2] : (in(X2,X1) => in(X2,X0)) => in(X1,powerset(X0)))),
% 0.16/0.47 inference(flattening,[],[f2])).
% 0.16/0.47 fof(f8,plain,(
% 0.16/0.47 powersetI => ! [X0,X1] : (! [X2] : (in(X2,X1) => in(X2,X0)) => in(X1,powerset(X0)))),
% 0.16/0.47 inference(unused_predicate_definition_removal,[],[f7])).
% 0.16/0.47 fof(f9,plain,(
% 0.16/0.47 emptysetE => ! [X0] : (in(X0,emptyset) => ! [X1 : $o] : X1)),
% 0.16/0.47 inference(unused_predicate_definition_removal,[],[f6])).
% 0.16/0.47 fof(f10,plain,(
% 0.16/0.47 ! [X0] : (! [X1 : $o] : X1 | ~in(X0,emptyset)) | ~emptysetE),
% 0.16/0.47 inference(ennf_transformation,[],[f9])).
% 0.16/0.47 fof(f11,plain,(
% 0.16/0.47 ! [X0,X1] : (in(X1,powerset(X0)) | ? [X2] : (~in(X2,X0) & in(X2,X1))) | ~powersetI),
% 0.16/0.47 inference(ennf_transformation,[],[f8])).
% 0.16/0.47 fof(f12,plain,(
% 0.16/0.47 (? [X0] : ~in(emptyset,powerset(X0)) & powersetI) & emptysetE),
% 0.16/0.47 inference(ennf_transformation,[],[f4])).
% 0.16/0.47 fof(f13,plain,(
% 0.16/0.47 ? [X0] : ~in(emptyset,powerset(X0)) & powersetI & emptysetE),
% 0.16/0.47 inference(flattening,[],[f12])).
% 0.16/0.47 fof(f14,plain,(
% 0.16/0.47 ( ! [X0] : (~emptysetE | ~in(X0,emptyset)) )),
% 0.16/0.47 inference(cnf_transformation,[],[f10])).
% 0.16/0.47 fof(f15,plain,(
% 0.16/0.47 ( ! [X0,X1] : (~powersetI | in(sK0(X0,X1),X1) | in(X1,powerset(X0))) )),
% 0.16/0.47 inference(cnf_transformation,[],[f11])).
% 0.16/0.47 fof(f17,plain,(
% 0.16/0.47 emptysetE),
% 0.16/0.47 inference(cnf_transformation,[],[f13])).
% 0.16/0.47 fof(f18,plain,(
% 0.16/0.47 powersetI),
% 0.16/0.47 inference(cnf_transformation,[],[f13])).
% 0.16/0.47 fof(f19,plain,(
% 0.16/0.47 ~in(emptyset,powerset(sK1))),
% 0.16/0.47 inference(cnf_transformation,[],[f13])).
% 0.16/0.47 fof(f20,plain,(
% 0.16/0.47 ( ! [X0,X1] : (in(sK0(X0,X1),X1) | in(X1,powerset(X0))) )),
% 0.16/0.47 inference(forward_subsumption_resolution,[],[f15,f18])).
% 0.16/0.47 fof(f22,plain,(
% 0.16/0.47 ( ! [X0] : (~in(X0,emptyset)) )),
% 0.16/0.47 inference(forward_subsumption_resolution,[],[f14,f17])).
% 0.16/0.47 fof(f23,plain,(
% 0.16/0.47 ( ! [X0] : (in(emptyset,powerset(X0))) )),
% 0.16/0.47 inference(resolution,[],[f20,f22])).
% 0.16/0.47 fof(f26,plain,(
% 0.16/0.47 $false),
% 0.16/0.47 inference(resolution,[],[f23,f19])).
% 0.16/0.47 % SZS output end Proof for theBenchmark
% 0.16/0.47 % (3672350)------------------------------
% 0.16/0.47 % (3672350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.47 % (3672350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.47 % (3672350)CaDiCaL version: 2.1.3
% 0.16/0.47 % (3672350)Termination reason: Refutation
% 0.16/0.47 % (3672350)Time elapsed: 0.001 s
% 0.16/0.47 % (3672350)Peak memory usage: 11 MB
% 0.16/0.47 % (3672350)Instructions burned: 1 (million)
% 0.16/0.47 % (3672341)Success in time 0.023 s
% 0.16/0.47 % Vampire exiting
%------------------------------------------------------------------------------