TSTP Solution File: SYO233^5 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO233^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n028.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 09:03:35 EDT 2024

% Result   : Theorem 0.14s 0.37s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYO233^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35  % Computer : n028.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon May 20 08:37:08 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a TH0_THM_EQU_NAR problem
% 0.14/0.35  Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.37  % (27861)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (3000ds/3Mi)
% 0.14/0.37  % (27860)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.14/0.37  % (27861)First to succeed.
% 0.14/0.37  % (27860)Also succeeded, but the first one will report.
% 0.14/0.37  % (27861)Refutation found. Thanks to Tanya!
% 0.14/0.37  % SZS status Theorem for theBenchmark
% 0.14/0.37  % SZS output start Proof for theBenchmark
% 0.14/0.37  thf(func_def_0, type, cN: $i > $i).
% 0.14/0.37  thf(func_def_1, type, cM: $i > $i).
% 0.14/0.37  thf(func_def_7, type, ph1: !>[X0: $tType]:(X0)).
% 0.14/0.37  thf(f24,plain,(
% 0.14/0.37    $false),
% 0.14/0.37    inference(trivial_inequality_removal,[],[f23])).
% 0.14/0.37  thf(f23,plain,(
% 0.14/0.37    ((cN @ sK2) != (cN @ sK2))),
% 0.14/0.37    inference(superposition,[],[f10,f11])).
% 0.14/0.37  thf(f11,plain,(
% 0.14/0.37    ( ! [X0 : $i] : (((cM @ X0) = (cN @ X0))) )),
% 0.14/0.37    inference(leibniz_equality_elimination,[],[f8])).
% 0.14/0.37  thf(f8,plain,(
% 0.14/0.37    ( ! [X0 : $i,X1 : $i > $o] : (((X1 @ (cM @ X0)) != $true) | ((X1 @ (cN @ X0)) = $true)) )),
% 0.14/0.37    inference(cnf_transformation,[],[f7])).
% 0.14/0.37  thf(f7,plain,(
% 0.14/0.37    (cM != cN) & ! [X0,X1 : $i > $o] : (((X1 @ (cM @ X0)) != $true) | ((X1 @ (cN @ X0)) = $true))),
% 0.14/0.37    inference(rectify,[],[f6])).
% 0.14/0.37  thf(f6,plain,(
% 0.14/0.37    (cM != cN) & ! [X1,X0 : $i > $o] : (($true != (X0 @ (cM @ X1))) | ($true = (X0 @ (cN @ X1))))),
% 0.14/0.37    inference(ennf_transformation,[],[f5])).
% 0.14/0.37  thf(f5,plain,(
% 0.14/0.37    ~(! [X0 : $i > $o,X1] : (($true = (X0 @ (cM @ X1))) => ($true = (X0 @ (cN @ X1)))) => (cM = cN))),
% 0.14/0.37    inference(fool_elimination,[],[f4])).
% 0.14/0.37  thf(f4,plain,(
% 0.14/0.37    ~(! [X0 : $i > $o,X1] : ((X0 @ (cM @ X1)) => (X0 @ (cN @ X1))) => (cM = cN))),
% 0.14/0.37    inference(rectify,[],[f2])).
% 0.14/0.37  thf(f2,negated_conjecture,(
% 0.14/0.37    ~(! [X1 : $i > $o,X0] : ((X1 @ (cM @ X0)) => (X1 @ (cN @ X0))) => (cM = cN))),
% 0.14/0.37    inference(negated_conjecture,[],[f1])).
% 0.14/0.37  thf(f1,conjecture,(
% 0.14/0.37    ! [X1 : $i > $o,X0] : ((X1 @ (cM @ X0)) => (X1 @ (cN @ X0))) => (cM = cN)),
% 0.14/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cLEIBNIZ)).
% 0.14/0.37  thf(f10,plain,(
% 0.14/0.37    ((cM @ sK2) != (cN @ sK2))),
% 0.14/0.37    inference(negative_extensionality,[],[f9])).
% 0.14/0.37  thf(f9,plain,(
% 0.14/0.37    (cM != cN)),
% 0.14/0.37    inference(cnf_transformation,[],[f7])).
% 0.14/0.37  % SZS output end Proof for theBenchmark
% 0.14/0.37  % (27861)------------------------------
% 0.14/0.37  % (27861)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37  % (27861)Termination reason: Refutation
% 0.14/0.37  
% 0.14/0.37  % (27861)Memory used [KB]: 5500
% 0.14/0.37  % (27861)Time elapsed: 0.004 s
% 0.14/0.37  % (27861)Instructions burned: 1 (million)
% 0.14/0.37  % (27861)------------------------------
% 0.14/0.37  % (27861)------------------------------
% 0.14/0.37  % (27853)Success in time 0.016 s
% 0.14/0.37  % Vampire---4.8 exiting
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