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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : NUM904_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n005.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 12:26:01 PM UTC 2026

% Result   : Theorem 0.17s 0.47s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM904_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39  % Computer : n005.cluster.edu
% 0.11/0.39  % Model    : x86_64 x86_64
% 0.11/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39  % Memory   : 8046.5625MB
% 0.11/0.39  % OS       : Linux 6.8.0-71-generic
% 0.11/0.39  % CPULimit : 300
% 0.11/0.39  % WCLimit  : 300
% 0.11/0.39  % DateTime : Sun Sep 27 21:38:48 UTC 2026
% 0.11/0.39  % CPUTime  : 
% 0.11/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.43  Running first-order model finding
% 0.11/0.43  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
% 0.17/0.47  % (194369)Will run a generic schedule for satisfiability detection.
% 0.17/0.47  % (194377)dis+10_1_sil=32000:sp=arity:random_seed=794885620:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.47  % (194377) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-194369-194377"...
% 0.17/0.47  % (194377)...printing done.
% 0.17/0.47  % (194377)Refutation found. Thanks to Tanya!
% 0.17/0.47  % SZS status Theorem for theBenchmark
% 0.17/0.47  % SZS output start Proof for theBenchmark
% 0.17/0.47  tff(func_def_4, type, sK0: $rat).
% 0.17/0.47  tff(f1,conjecture,(
% 0.17/0.47    ! [X0 : $rat] : $sum(X0,$uminus(X0)) = 0/1),
% 0.17/0.47    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rat_uminus_problem_8)).
% 0.17/0.47  tff(f2,negated_conjecture,(
% 0.17/0.47    ~ ! [X0 : $rat] : $sum(X0,$uminus(X0)) = 0/1),
% 0.17/0.47    inference(negated_conjecture,[status(cth)],[f1])).
% 0.17/0.47  tff(f7,definition,(
% 0.17/0.47    ( ! [X0 : $rat] : ($sum(X0,$uminus(X0)) = 0/1) )),
% 0.17/0.47    introduced(theory,[tha_inverse_op_unit])).
% 0.17/0.47  tff(f14,plain,(
% 0.17/0.47    ? [X0 : $rat] : $sum(X0,$uminus(X0)) != 0/1),
% 0.17/0.47    inference(ennf_transformation,[],[f2])).
% 0.17/0.47  tff(f15,plain,(
% 0.17/0.47    0/1 != $sum(sK0,$uminus(sK0))),
% 0.17/0.47    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f14])).
% 0.17/0.47  tff(f16,plain,(
% 0.17/0.47    0/1 != $sum(sK0,$uminus(sK0))),
% 0.17/0.47    inference(cnf_transformation,[],[f15])).
% 0.17/0.47  tff(f18,plain,(
% 0.17/0.47    0/1 != 0/1),
% 0.17/0.47    inference(superposition,[],[f16,f7])).
% 0.17/0.47  tff(f19,plain,(
% 0.17/0.47    $false),
% 0.17/0.47    inference(trivial_inequality_removal,[],[f18])).
% 0.17/0.47  % SZS output end Proof for theBenchmark
% 0.17/0.47  % (194377)------------------------------
% 0.17/0.47  % (194377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47  % (194377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47  % (194377)CaDiCaL version: 2.1.3
% 0.17/0.47  % (194377)Termination reason: Refutation
% 0.17/0.47  % (194377)Time elapsed: 0.001 s
% 0.17/0.47  % (194377)Peak memory usage: 12 MB
% 0.17/0.47  % (194377)Instructions burned: 1 (million)
% 0.17/0.47  % (194369)Success in time 0.03 s
% 0.17/0.47  % Vampire exiting
%------------------------------------------------------------------------------