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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ARI489_1 : TPTP v9.3.1. Bugfixed v5.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n007.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 09:34:41 AM UTC 2026

% Result   : Theorem 0.18s 0.26s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ARI489_1 : TPTP v9.3.1. Bugfixed v5.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18  % Computer : n007.cluster.edu
% 0.07/0.18  % Model    : x86_64 x86_64
% 0.07/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18  % Memory   : 8046.5625MB
% 0.07/0.18  % OS       : Linux 6.8.0-71-generic
% 0.07/0.18  % CPULimit : 300
% 0.07/0.18  % WCLimit  : 300
% 0.07/0.18  % DateTime : Mon Sep 28 20:48:25 UTC 2026
% 0.07/0.19  % CPUTime  : 
% 0.07/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22  Running first-order model finding
% 0.07/0.22  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.26  % (2800795)Will run a generic schedule for satisfiability detection.
% 0.18/0.26  % (2800803)dis+10_1_sil=32000:sp=arity:random_seed=3494884711:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.26  % (2800803) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2800795-2800803"...
% 0.18/0.26  % (2800803)...printing done.
% 0.18/0.26  % (2800803)Refutation found. Thanks to Tanya!
% 0.18/0.26  % SZS status Theorem for theBenchmark
% 0.18/0.26  % SZS output start Proof for theBenchmark
% 0.18/0.26  tff(f1,conjecture,(
% 0.18/0.26    ? [X0 : $real,X1 : $real] : ($sum(X0,1/1) = X1 & $less(X0,X1))),
% 0.18/0.26    file('/export/starexec/sandbox/benchmark/theBenchmark.p',real_combined_problem_4)).
% 0.18/0.26  tff(f2,negated_conjecture,(
% 0.18/0.26    ~ ? [X0 : $real,X1 : $real] : ($sum(X0,1/1) = X1 & $less(X0,X1))),
% 0.18/0.26    inference(negated_conjecture,[status(cth)],[f1])).
% 0.18/0.26  tff(f3,definition,(
% 0.18/0.26    ( ! [X0 : $real,X1 : $real] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.18/0.26    introduced(theory,[tha_commutativity])).
% 0.18/0.26  tff(f7,definition,(
% 0.18/0.26    ( ! [X0 : $real] : (0/1 = $sum(X0,$uminus(X0))) )),
% 0.18/0.26    introduced(theory,[tha_inverse_op_unit])).
% 0.18/0.26  tff(f14,plain,(
% 0.18/0.26    ! [X0 : $real,X1 : $real] : ($sum(X0,1/1) != X1 | ~$less(X0,X1))),
% 0.18/0.26    inference(ennf_transformation,[],[f2])).
% 0.18/0.26  tff(f15,plain,(
% 0.18/0.26    ( ! [X0 : $real,X1 : $real] : ($sum(X0,1/1) != X1 | ~$less(X0,X1)) )),
% 0.18/0.26    inference(cnf_transformation,[],[f14])).
% 0.18/0.26  tff(f16,plain,(
% 0.18/0.26    ( ! [X0 : $real] : (~$less(X0,$sum(X0,1/1))) )),
% 0.18/0.26    inference(equality_resolution,[],[f15])).
% 0.18/0.26  tff(f20,plain,(
% 0.18/0.26    ( ! [X0 : $real] : (~$less(X0,$sum(1/1,X0))) )),
% 0.18/0.26    inference(superposition,[],[f16,f3])).
% 0.18/0.26  tff(f25,plain,(
% 0.18/0.26    ~$less($uminus(1/1),0/1)),
% 0.18/0.26    inference(superposition,[],[f20,f7])).
% 0.18/0.26  tff(f28,plain,(
% 0.18/0.26    $false),
% 0.18/0.26    inference(evaluation,[],[f25])).
% 0.18/0.26  % SZS output end Proof for theBenchmark
% 0.18/0.26  % (2800803)------------------------------
% 0.18/0.26  % (2800803)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.26  % (2800803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.26  % (2800803)CaDiCaL version: 2.1.3
% 0.18/0.26  % (2800803)Termination reason: Refutation
% 0.18/0.26  % (2800803)Time elapsed: 0.001 s
% 0.18/0.26  % (2800803)Peak memory usage: 12 MB
% 0.18/0.26  % (2800803)Instructions burned: 1 (million)
% 0.18/0.26  % (2800795)Success in time 0.032 s
% 0.18/0.26  % Vampire exiting
%------------------------------------------------------------------------------