%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI222_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 : n015.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 09:34:13 AM UTC 2026
% Result : Theorem 0.08s 0.25s
% Output : Refutation 0.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ARI222_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n015.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 20:48:17 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.08/0.25 % (2990036)Will run a generic schedule for satisfiability detection.
% 0.08/0.25 % (2990044)dis+10_1_sil=32000:sp=arity:random_seed=3448849798:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.08/0.25 % (2990044) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2990036-2990044"...
% 0.08/0.25 % (2990044)...printing done.
% 0.08/0.25 % (2990044)Refutation found. Thanks to Tanya!
% 0.08/0.25 % SZS status Theorem for theBenchmark
% 0.08/0.25 % SZS output start Proof for theBenchmark
% 0.08/0.25 tff(f1,conjecture,(
% 0.08/0.25 ? [X0 : $rat,X1 : $rat] : $greater(X0,X1)),
% 0.08/0.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_greater_problem_6)).
% 0.08/0.25 tff(f2,negated_conjecture,(
% 0.08/0.25 ~ ? [X0 : $rat,X1 : $rat] : $greater(X0,X1)),
% 0.08/0.25 inference(negated_conjecture,[status(cth)],[f1])).
% 0.08/0.25 tff(f3,plain,(
% 0.08/0.25 ~ ? [X0 : $rat,X1 : $rat] : $less(X1,X0)),
% 0.08/0.25 inference(theory_normalization,[],[f2])).
% 0.08/0.25 tff(f13,definition,(
% 0.08/0.25 ( ! [X0 : $rat,X1 : $rat] : ($less(X0,X1) | $less(X1,$sum(X0,1/1))) )),
% 0.08/0.25 introduced(theory,[tha_order_plus_one_dichotomy])).
% 0.08/0.25 tff(f15,plain,(
% 0.08/0.25 ! [X0 : $rat,X1 : $rat] : ~$less(X1,X0)),
% 0.08/0.25 inference(ennf_transformation,[],[f3])).
% 0.08/0.25 tff(f16,plain,(
% 0.08/0.25 ( ! [X0 : $rat,X1 : $rat] : (~$less(X1,X0)) )),
% 0.08/0.25 inference(cnf_transformation,[],[f15])).
% 0.08/0.25 tff(f23,plain,(
% 0.08/0.25 ( ! [X0 : $rat,X1 : $rat] : ($less(X1,$sum(X0,1/1))) )),
% 0.08/0.25 inference(forward_subsumption_resolution,[],[f13,f16])).
% 0.08/0.25 tff(f24,plain,(
% 0.08/0.25 $false),
% 0.08/0.25 inference(forward_subsumption_resolution,[],[f23,f16])).
% 0.08/0.25 % SZS output end Proof for theBenchmark
% 0.08/0.25 % (2990044)------------------------------
% 0.08/0.25 % (2990044)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.25 % (2990044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.25 % (2990044)CaDiCaL version: 2.1.3
% 0.08/0.25 % (2990044)Termination reason: Refutation
% 0.08/0.25 % (2990044)Time elapsed: 0.001 s
% 0.08/0.25 % (2990044)Peak memory usage: 12 MB
% 0.08/0.25 % (2990044)Instructions burned: 1 (million)
% 0.08/0.25 % (2990036)Success in time 0.017 s
% 0.08/0.25 % Vampire exiting
%------------------------------------------------------------------------------