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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYO082^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n013.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 : Wed Sep 30 08:48:55 AM UTC 2026

% Result   : Theorem 0.20s 0.27s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYO082^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.06/0.18  % Computer : n013.cluster.edu
% 0.06/0.18  % Model    : x86_64 x86_64
% 0.06/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18  % Memory   : 8046.5625MB
% 0.06/0.18  % OS       : Linux 6.8.0-71-generic
% 0.06/0.19  % CPULimit : 300
% 0.06/0.19  % WCLimit  : 300
% 0.06/0.19  % DateTime : Tue Sep 29 16:32:36 UTC 2026
% 0.06/0.19  % CPUTime  : 
% 0.06/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.06/0.22  Running first-order model finding
% 0.06/0.22  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
% 0.20/0.27  % (2337417)Will run a generic schedule for satisfiability detection.
% 0.20/0.27  % (2337425)dis+10_1_sil=32000:sp=arity:random_seed=702197798:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.27  % (2337425) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2337417-2337425"...
% 0.20/0.27  % (2337425)...printing done.
% 0.20/0.27  % (2337425)Refutation found. Thanks to Tanya!
% 0.20/0.27  % SZS status Theorem for theBenchmark
% 0.20/0.27  % SZS output start Proof for theBenchmark
% 0.20/0.27  thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.20/0.27  thf(func_def_0, type, f: ($i > $i > $i)).
% 0.20/0.27  thf(func_def_1, type, cP: ($i > $o)).
% 0.20/0.27  thf(func_def_5, type, sK0: ($i > $i)).
% 0.20/0.27  thf(f1,conjecture,(
% 0.20/0.27    ? [X0 : $i] : ! [X1 : $i] : ((cP @ X0) => (cP @ (f @ X0 @ X1)))),
% 0.20/0.27    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cBAFFLER_VARIANT)).
% 0.20/0.27  thf(f2,negated_conjecture,(
% 0.20/0.27    ~ ? [X0 : $i] : ! [X1 : $i] : ((cP @ X0) => (cP @ (f @ X0 @ X1)))),
% 0.20/0.27    inference(negated_conjecture,[status(cth)],[f1])).
% 0.20/0.27  thf(f3,plain,(
% 0.20/0.27    ~ ? [X0 : $i] : ! [X1 : $i] : ((cP @ X0) => (cP @ (f @ X0 @ X1)))),
% 0.20/0.27    inference(rectify,[],[f2])).
% 0.20/0.27  thf(f4,plain,(
% 0.20/0.27    ~ ? [X0 : $i] : ! [X1 : $i] : ((((cP @ X0)) = $true) => (((cP @ (f @ X0 @ X1))) = $true))),
% 0.20/0.27    inference(fool_elimination,[],[f3])).
% 0.20/0.27  thf(f5,plain,(
% 0.20/0.27    ! [X0 : $i] : ? [X1 : $i] : ((((cP @ (f @ X0 @ X1))) != $true) & (((cP @ X0)) = $true))),
% 0.20/0.27    inference(ennf_transformation,[],[f4])).
% 0.20/0.27  thf(f6,plain,(
% 0.20/0.27    ! [X0 : $i] : (($true != ((cP @ (f @ X0 @ (sK0 @ X0))))) & (((cP @ X0)) = $true))),
% 0.20/0.27    inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X1,sK0 @ X0)],[f5])).
% 0.20/0.27  thf(f7,plain,(
% 0.20/0.27    ( ! [X0 : $i] : ((((cP @ X0)) = $true)) )),
% 0.20/0.27    inference(cnf_transformation,[],[f6])).
% 0.20/0.27  thf(f8,plain,(
% 0.20/0.27    ( ! [X0 : $i] : (($true != ((cP @ (f @ X0 @ (sK0 @ X0)))))) )),
% 0.20/0.27    inference(cnf_transformation,[],[f6])).
% 0.20/0.27  thf(f11,plain,(
% 0.20/0.27    $false),
% 0.20/0.27    inference(forward_subsumption_resolution,[],[f8,f7])).
% 0.20/0.27  % SZS output end Proof for theBenchmark
% 0.20/0.27  % (2337425)------------------------------
% 0.20/0.27  % (2337425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27  % (2337425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27  % (2337425)CaDiCaL version: 2.1.3
% 0.20/0.27  % (2337425)Termination reason: Refutation
% 0.20/0.27  % (2337425)Time elapsed: 0.001 s
% 0.20/0.27  % (2337425)Peak memory usage: 12 MB
% 0.20/0.27  % (2337417)Success in time 0.039 s
% 0.20/0.27  % Vampire exiting
%------------------------------------------------------------------------------