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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ARI259_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 : n001.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 09:34:18 AM UTC 2026

% Result   : Theorem 0.09s 0.25s
% Output   : Refutation 0.09s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ARI259_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18  % Computer : n001.cluster.edu
% 0.09/0.18  % Model    : x86_64 x86_64
% 0.09/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18  % Memory   : 8046.5625MB
% 0.09/0.18  % OS       : Linux 6.8.0-71-generic
% 0.09/0.18  % CPULimit : 300
% 0.09/0.18  % WCLimit  : 300
% 0.09/0.18  % DateTime : Mon Sep 28 20:51:34 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22  Running first-order model finding
% 0.09/0.22  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
% 0.09/0.25  % (718306)Will run a generic schedule for satisfiability detection.
% 0.09/0.25  % (718322)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3907182101:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.09/0.25  % (718317)% WARNING: option uhcvi not known.
% 0.09/0.25  % (718322) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-718306-718322"...
% 0.09/0.25  % (718322)...printing done.
% 0.09/0.25  % (718322)Refutation found. Thanks to Tanya!
% 0.09/0.25  % SZS status Theorem for theBenchmark
% 0.09/0.25  % SZS output start Proof for theBenchmark
% 0.09/0.25  tff(func_def_7, type, sK0: $rat).
% 0.09/0.25  tff(f1,conjecture,(
% 0.09/0.25    ! [X0 : $rat] : ($sum(17/4,X0) = 10/1 => X0 = 23/4)),
% 0.09/0.25    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_sum_problem_14)).
% 0.09/0.25  tff(f2,negated_conjecture,(
% 0.09/0.25    ~ ! [X0 : $rat] : ($sum(17/4,X0) = 10/1 => X0 = 23/4)),
% 0.09/0.25    inference(negated_conjecture,[status(cth)],[f1])).
% 0.09/0.25  tff(f3,definition,(
% 0.09/0.25    ( ! [X0 : $rat,X1 : $rat] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.09/0.25    introduced(theory,[tha_commutativity])).
% 0.09/0.25  tff(f4,definition,(
% 0.09/0.25    ( ! [X2 : $rat,X0 : $rat,X1 : $rat] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 0.09/0.25    introduced(theory,[tha_associativity])).
% 0.09/0.25  tff(f7,definition,(
% 0.09/0.25    ( ! [X0 : $rat] : (0/1 = $sum(X0,$uminus(X0))) )),
% 0.09/0.25    introduced(theory,[tha_inverse_op_unit])).
% 0.09/0.25  tff(f14,plain,(
% 0.09/0.25    ? [X0 : $rat] : (23/4 != X0 & $sum(17/4,X0) = 10/1)),
% 0.09/0.25    inference(ennf_transformation,[],[f2])).
% 0.09/0.25  tff(f15,plain,(
% 0.09/0.25    23/4 != sK0 & 10/1 = $sum(17/4,sK0)),
% 0.09/0.25    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f14])).
% 0.09/0.25  tff(f16,plain,(
% 0.09/0.25    10/1 = $sum(17/4,sK0)),
% 0.09/0.25    inference(cnf_transformation,[],[f15])).
% 0.09/0.25  tff(f17,plain,(
% 0.09/0.25    23/4 != sK0),
% 0.09/0.25    inference(cnf_transformation,[],[f15])).
% 0.09/0.25  tff(f82,plain,(
% 0.09/0.25    ( ! [X0 : $rat,X1 : $rat] : ($sum(0/1,X1) = $sum(X0,$sum($uminus(X0),X1))) )),
% 0.09/0.25    inference(superposition,[],[f4,f7])).
% 0.09/0.25  tff(f85,plain,(
% 0.09/0.25    ( ! [X0 : $rat] : ($sum(17/4,$sum(sK0,X0)) = $sum(10/1,X0)) )),
% 0.09/0.25    inference(superposition,[],[f4,f16])).
% 0.09/0.25  tff(f99,plain,(
% 0.09/0.25    ( ! [X0 : $rat,X1 : $rat] : ($sum(X0,$sum($uminus(X0),X1)) = X1) )),
% 0.09/0.25    inference(evaluation,[],[f82])).
% 0.09/0.25  tff(f110,plain,(
% 0.09/0.25    ( ! [X0 : $rat] : ($sum(10/1,X0) = $sum(17/4,$sum(X0,sK0))) )),
% 0.09/0.25    inference(superposition,[],[f85,f3])).
% 0.09/0.25  tff(f218,plain,(
% 0.09/0.25    sK0 = $sum(10/1,$uminus(17/4))),
% 0.09/0.25    inference(superposition,[],[f99,f110])).
% 0.09/0.25  tff(f224,plain,(
% 0.09/0.25    23/4 = sK0),
% 0.09/0.25    inference(evaluation,[],[f218])).
% 0.09/0.25  tff(f229,plain,(
% 0.09/0.25    $false),
% 0.09/0.25    inference(forward_subsumption_resolution,[],[f224,f17])).
% 0.09/0.25  % SZS output end Proof for theBenchmark
% 0.09/0.25  % (718322)------------------------------
% 0.09/0.25  % (718322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.25  % (718322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.25  % (718322)CaDiCaL version: 2.1.3
% 0.09/0.25  % (718322)Termination reason: Refutation
% 0.09/0.25  % (718322)Time elapsed: 0.004 s
% 0.09/0.25  % (718322)Peak memory usage: 12 MB
% 0.09/0.25  % (718322)Instructions burned: 9 (million)
% 0.09/0.25  % (718306)Success in time 0.022 s
% 0.09/0.25  % Vampire exiting
%------------------------------------------------------------------------------