%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI511_1 : TPTP v9.3.1. Released v5.0.0.
% 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 09:34:43 AM UTC 2026
% Result : Theorem 0.10s 0.25s
% Output : Refutation 0.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI511_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 % Computer : n006.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 20:50:55 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.22 Running first-order model finding
% 0.10/0.22 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
% 0.10/0.25 % (178450)Will run a generic schedule for satisfiability detection.
% 0.10/0.25 % (178461)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=263785681:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.25 % (178461) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-178450-178461"...
% 0.10/0.25 % (178461)...printing done.
% 0.10/0.25 % (178461)Refutation found. Thanks to Tanya!
% 0.10/0.25 % SZS status Theorem for theBenchmark
% 0.10/0.25 % SZS output start Proof for theBenchmark
% 0.10/0.25 tff(f1,conjecture,(
% 0.10/0.25 ? [X0 : $rat] : $less($to_rat(5/19),X0)),
% 0.10/0.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mixed_types_problem_16)).
% 0.10/0.25 tff(f2,negated_conjecture,(
% 0.10/0.25 ~ ? [X0 : $rat] : $less($to_rat(5/19),X0)),
% 0.10/0.25 inference(negated_conjecture,[status(cth)],[f1])).
% 0.10/0.25 tff(f3,plain,(
% 0.10/0.25 ~ ? [X0 : $rat] : $less(5/19,X0)),
% 0.10/0.25 inference(theory_normalization,[],[f2])).
% 0.10/0.25 tff(f9,definition,(
% 0.10/0.25 ( ! [X0 : $rat] : (~$less(X0,X0)) )),
% 0.10/0.25 introduced(theory,[tha_non-reflexivity])).
% 0.10/0.25 tff(f13,definition,(
% 0.10/0.25 ( ! [X0 : $rat,X1 : $rat] : ($less(X1,$sum(X0,1/1)) | $less(X0,X1)) )),
% 0.10/0.25 introduced(theory,[tha_order_plus_one_dichotomy])).
% 0.10/0.25 tff(f15,plain,(
% 0.10/0.25 ! [X0 : $rat] : ~$less(5/19,X0)),
% 0.10/0.25 inference(ennf_transformation,[],[f3])).
% 0.10/0.25 tff(f16,plain,(
% 0.10/0.25 ( ! [X0 : $rat] : (~$less(5/19,X0)) )),
% 0.10/0.25 inference(cnf_transformation,[],[f15])).
% 0.10/0.25 tff(f29,plain,(
% 0.10/0.25 ( ! [X0 : $rat] : ($less(X0,5/19)) )),
% 0.10/0.25 inference(resolution,[],[f13,f16])).
% 0.10/0.25 tff(f36,plain,(
% 0.10/0.25 $false),
% 0.10/0.25 inference(resolution,[],[f29,f9])).
% 0.10/0.25 % SZS output end Proof for theBenchmark
% 0.10/0.25 % (178461)------------------------------
% 0.10/0.25 % (178461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.25 % (178461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.25 % (178461)CaDiCaL version: 2.1.3
% 0.10/0.25 % (178461)Termination reason: Refutation
% 0.10/0.25 % (178461)Time elapsed: 0.001 s
% 0.10/0.25 % (178461)Peak memory usage: 12 MB
% 0.10/0.25 % (178461)Instructions burned: 1 (million)
% 0.10/0.25 % (178450)Success in time 0.025 s
% 0.10/0.25 % Vampire exiting
%------------------------------------------------------------------------------