TSTP Solution File: SYO098^5 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO098^5 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n021.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 09:02:56 EDT 2024

% Result   : Theorem 0.14s 0.32s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09  % Problem    : SYO098^5 : TPTP v8.2.0. Released v4.0.0.
% 0.05/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.10/0.30  % Computer : n021.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Mon May 20 09:08:37 EDT 2024
% 0.10/0.30  % CPUTime    : 
% 0.10/0.30  This is a TH0_THM_NEQ_NAR problem
% 0.10/0.30  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/sandbox/benchmark/theBenchmark.p
% 0.14/0.32  % (12702)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.14/0.32  % (12704)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (3000ds/27Mi)
% 0.14/0.32  % (12703)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (3000ds/4Mi)
% 0.14/0.32  % (12705)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.14/0.32  % (12706)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.14/0.32  % (12707)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (3000ds/275Mi)
% 0.14/0.32  % (12708)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.14/0.32  % (12706)Instruction limit reached!
% 0.14/0.32  % (12706)------------------------------
% 0.14/0.32  % (12706)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.32  % (12706)Termination reason: Unknown
% 0.14/0.32  % (12706)Termination phase: Saturation
% 0.14/0.32  
% 0.14/0.32  % (12706)Memory used [KB]: 895
% 0.14/0.32  % (12706)Time elapsed: 0.002 s
% 0.14/0.32  % (12706)Instructions burned: 2 (million)
% 0.14/0.32  % (12706)------------------------------
% 0.14/0.32  % (12706)------------------------------
% 0.14/0.32  % (12709)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)
% 0.14/0.32  % (12705)Instruction limit reached!
% 0.14/0.32  % (12705)------------------------------
% 0.14/0.32  % (12705)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.32  % (12707)First to succeed.
% 0.14/0.32  % (12705)Termination reason: Unknown
% 0.14/0.32  % (12705)Termination phase: Saturation
% 0.14/0.32  
% 0.14/0.32  % (12705)Memory used [KB]: 5500
% 0.14/0.32  % (12705)Time elapsed: 0.003 s
% 0.14/0.32  % (12705)Instructions burned: 2 (million)
% 0.14/0.32  % (12705)------------------------------
% 0.14/0.32  % (12705)------------------------------
% 0.14/0.32  % (12702)Also succeeded, but the first one will report.
% 0.14/0.32  % (12707)Refutation found. Thanks to Tanya!
% 0.14/0.32  % SZS status Theorem for theBenchmark
% 0.14/0.32  % SZS output start Proof for theBenchmark
% 0.14/0.32  thf(func_def_0, type, cQ: $i > $i > $o).
% 0.14/0.32  thf(func_def_1, type, cR: $i > $i > $o).
% 0.14/0.32  thf(f28,plain,(
% 0.14/0.32    $false),
% 0.14/0.32    inference(avatar_sat_refutation,[],[f20,f24,f27])).
% 0.14/0.32  thf(f27,plain,(
% 0.14/0.32    ~spl1_1),
% 0.14/0.32    inference(avatar_contradiction_clause,[],[f26])).
% 0.14/0.32  thf(f26,plain,(
% 0.14/0.32    $false | ~spl1_1),
% 0.14/0.32    inference(trivial_inequality_removal,[],[f25])).
% 0.14/0.32  thf(f25,plain,(
% 0.14/0.32    ($true != $true) | ~spl1_1),
% 0.14/0.32    inference(superposition,[],[f12,f15])).
% 0.14/0.32  thf(f15,plain,(
% 0.14/0.32    ( ! [X2 : $i,X1 : $i] : (((cR @ X2 @ X1) = $true)) ) | ~spl1_1),
% 0.14/0.32    inference(avatar_component_clause,[],[f14])).
% 0.14/0.32  thf(f14,plain,(
% 0.14/0.32    spl1_1 <=> ! [X2,X1] : ((cR @ X2 @ X1) = $true)),
% 0.14/0.32    introduced(avatar_definition,[new_symbols(naming,[spl1_1])])).
% 0.14/0.32  thf(f12,plain,(
% 0.14/0.32    ( ! [X0 : $i] : (((cR @ X0 @ X0) != $true)) )),
% 0.14/0.32    inference(cnf_transformation,[],[f9])).
% 0.14/0.32  thf(f9,plain,(
% 0.14/0.32    ! [X0] : ((cR @ X0 @ X0) != $true) & ! [X1,X2] : (((cR @ X2 @ X1) = $true) | (($true != (cQ @ sK0 @ sK0)) & ($true = (cQ @ X1 @ X2))))),
% 0.14/0.32    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f7,f8])).
% 0.14/0.32  thf(f8,plain,(
% 0.14/0.32    ? [X3] : ((cQ @ X3 @ X3) != $true) => ($true != (cQ @ sK0 @ sK0))),
% 0.14/0.32    introduced(choice_axiom,[])).
% 0.14/0.32  thf(f7,plain,(
% 0.14/0.32    ! [X0] : ((cR @ X0 @ X0) != $true) & ! [X1,X2] : (((cR @ X2 @ X1) = $true) | (? [X3] : ((cQ @ X3 @ X3) != $true) & ($true = (cQ @ X1 @ X2))))),
% 0.14/0.32    inference(ennf_transformation,[],[f6])).
% 0.14/0.32  thf(f6,plain,(
% 0.14/0.32    ~(! [X0] : ((cR @ X0 @ X0) != $true) => ? [X1,X2] : ((($true = (cQ @ X1 @ X2)) => ! [X3] : ((cQ @ X3 @ X3) = $true)) & ((cR @ X2 @ X1) != $true)))),
% 0.14/0.32    inference(flattening,[],[f5])).
% 0.14/0.32  thf(f5,plain,(
% 0.14/0.32    ~(! [X0] : ~((cR @ X0 @ X0) = $true) => ? [X1,X2] : (~((cR @ X2 @ X1) = $true) & (($true = (cQ @ X1 @ X2)) => ! [X3] : ((cQ @ X3 @ X3) = $true))))),
% 0.14/0.32    inference(fool_elimination,[],[f4])).
% 0.14/0.32  thf(f4,plain,(
% 0.14/0.32    ~(! [X0] : ~(cR @ X0 @ X0) => ? [X1,X2] : (~(cR @ X2 @ X1) & ((cQ @ X1 @ X2) => ! [X3] : (cQ @ X3 @ X3))))),
% 0.14/0.32    inference(rectify,[],[f2])).
% 0.14/0.32  thf(f2,negated_conjecture,(
% 0.14/0.32    ~(! [X0] : ~(cR @ X0 @ X0) => ? [X2,X1] : (~(cR @ X1 @ X2) & ((cQ @ X2 @ X1) => ! [X3] : (cQ @ X3 @ X3))))),
% 0.14/0.32    inference(negated_conjecture,[],[f1])).
% 0.14/0.32  thf(f1,conjecture,(
% 0.14/0.32    ! [X0] : ~(cR @ X0 @ X0) => ? [X2,X1] : (~(cR @ X1 @ X2) & ((cQ @ X2 @ X1) => ! [X3] : (cQ @ X3 @ X3)))),
% 0.14/0.32    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM65)).
% 0.14/0.32  thf(f24,plain,(
% 0.14/0.32    spl1_2),
% 0.14/0.32    inference(avatar_contradiction_clause,[],[f23])).
% 0.14/0.32  thf(f23,plain,(
% 0.14/0.32    $false | spl1_2),
% 0.14/0.32    inference(subsumption_resolution,[],[f22,f12])).
% 0.14/0.32  thf(f22,plain,(
% 0.14/0.32    ($true = (cR @ sK0 @ sK0)) | spl1_2),
% 0.14/0.32    inference(trivial_inequality_removal,[],[f21])).
% 0.14/0.32  thf(f21,plain,(
% 0.14/0.32    ($true != $true) | ($true = (cR @ sK0 @ sK0)) | spl1_2),
% 0.14/0.32    inference(superposition,[],[f19,f10])).
% 0.14/0.32  thf(f10,plain,(
% 0.14/0.32    ( ! [X2 : $i,X1 : $i] : (($true = (cQ @ X1 @ X2)) | ((cR @ X2 @ X1) = $true)) )),
% 0.14/0.32    inference(cnf_transformation,[],[f9])).
% 0.14/0.32  thf(f19,plain,(
% 0.14/0.32    ($true != (cQ @ sK0 @ sK0)) | spl1_2),
% 0.14/0.32    inference(avatar_component_clause,[],[f17])).
% 0.14/0.32  thf(f17,plain,(
% 0.14/0.32    spl1_2 <=> ($true = (cQ @ sK0 @ sK0))),
% 0.14/0.32    introduced(avatar_definition,[new_symbols(naming,[spl1_2])])).
% 0.14/0.32  thf(f20,plain,(
% 0.14/0.32    spl1_1 | ~spl1_2),
% 0.14/0.32    inference(avatar_split_clause,[],[f11,f17,f14])).
% 0.14/0.32  thf(f11,plain,(
% 0.14/0.32    ( ! [X2 : $i,X1 : $i] : (((cR @ X2 @ X1) = $true) | ($true != (cQ @ sK0 @ sK0))) )),
% 0.14/0.32    inference(cnf_transformation,[],[f9])).
% 0.14/0.32  % SZS output end Proof for theBenchmark
% 0.14/0.32  % (12707)------------------------------
% 0.14/0.32  % (12707)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.32  % (12707)Termination reason: Refutation
% 0.14/0.32  
% 0.14/0.32  % (12707)Memory used [KB]: 5500
% 0.14/0.32  % (12707)Time elapsed: 0.003 s
% 0.14/0.32  % (12707)Instructions burned: 1 (million)
% 0.14/0.32  % (12707)------------------------------
% 0.14/0.32  % (12707)------------------------------
% 0.14/0.32  % (12701)Success in time 0.003 s
% 0.14/0.32  % Vampire---4.8 exiting
%------------------------------------------------------------------------------