%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI548_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 : n016.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 09:34:50 AM UTC 2026
% Result : Theorem 0.09s 0.26s
% Output : Refutation 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI548_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n016.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 20:56:49 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 0.09/0.26 % (3992513)Will run a generic schedule for satisfiability detection.
% 0.09/0.26 % (3992523)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3744074009:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.09/0.26 % (3992523) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3992513-3992523"...
% 0.09/0.26 % (3992523)...printing done.
% 0.09/0.26 % (3992523)Refutation found. Thanks to Tanya!
% 0.09/0.26 % SZS status Theorem for theBenchmark
% 0.09/0.26 % SZS output start Proof for theBenchmark
% 0.09/0.26 tff(f1,conjecture,(
% 0.09/0.26 ? [X0 : $int] : $lesseq($difference(-25,$product(X0,-5)),0)),
% 0.09/0.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',int_combined_problem_12)).
% 0.09/0.26 tff(f2,negated_conjecture,(
% 0.09/0.26 ~ ? [X0 : $int] : $lesseq($difference(-25,$product(X0,-5)),0)),
% 0.09/0.26 inference(negated_conjecture,[status(cth)],[f1])).
% 0.09/0.26 tff(f3,plain,(
% 0.09/0.26 ~ ? [X0 : $int] : ~$less(0,$sum(-25,$uminus($product(X0,-5))))),
% 0.09/0.26 inference(theory_normalization,[],[f2])).
% 0.09/0.26 tff(f15,definition,(
% 0.09/0.26 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 0.09/0.26 introduced(theory,[tha_commutativity])).
% 0.09/0.26 tff(f18,definition,(
% 0.09/0.26 ( ! [X0 : $int] : (0 = $product(X0,0)) )),
% 0.09/0.26 introduced(theory,[tha_times_zero])).
% 0.09/0.26 tff(f22,plain,(
% 0.09/0.26 ! [X0 : $int] : $less(0,$sum(-25,$uminus($product(X0,-5))))),
% 0.09/0.26 inference(ennf_transformation,[],[f3])).
% 0.09/0.26 tff(f23,plain,(
% 0.09/0.26 ( ! [X0 : $int] : ($less(0,$sum(-25,$uminus($product(X0,-5))))) )),
% 0.09/0.26 inference(cnf_transformation,[],[f22])).
% 0.09/0.26 tff(f37,plain,(
% 0.09/0.26 ( ! [X0 : $int] : ($less(0,$sum(-25,$uminus($product(-5,X0))))) )),
% 0.09/0.26 inference(superposition,[],[f23,f15])).
% 0.09/0.26 tff(f44,plain,(
% 0.09/0.26 $less(0,$sum(-25,$uminus(0)))),
% 0.09/0.26 inference(superposition,[],[f37,f18])).
% 0.09/0.26 tff(f47,plain,(
% 0.09/0.26 $false),
% 0.09/0.26 inference(evaluation,[],[f44])).
% 0.09/0.26 % SZS output end Proof for theBenchmark
% 0.09/0.26 % (3992523)------------------------------
% 0.09/0.26 % (3992523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.26 % (3992523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.26 % (3992523)CaDiCaL version: 2.1.3
% 0.09/0.26 % (3992523)Termination reason: Refutation
% 0.09/0.26 % (3992523)Time elapsed: 0.001 s
% 0.09/0.26 % (3992523)Peak memory usage: 12 MB
% 0.09/0.26 % (3992523)Instructions burned: 2 (million)
% 0.09/0.26 % (3992513)Success in time 0.017 s
% 0.09/0.26 % Vampire exiting
%------------------------------------------------------------------------------