TSTP Solution File: SYO112^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO112^5 : 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 : n017.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 09:02:58 EDT 2024

% Result   : Theorem 0.15s 0.41s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYO112^5 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.15  % 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
% 0.15/0.39  % Computer : n017.cluster.edu
% 0.15/0.39  % Model    : x86_64 x86_64
% 0.15/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.39  % Memory   : 8042.1875MB
% 0.15/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.39  % CPULimit   : 300
% 0.15/0.39  % WCLimit    : 300
% 0.15/0.39  % DateTime   : Mon May 20 09:57:38 EDT 2024
% 0.15/0.39  % CPUTime    : 
% 0.15/0.39  This is a TH0_THM_NEQ_NAR problem
% 0.15/0.39  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
% 0.15/0.41  % (18269)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)
% 0.15/0.41  % (18268)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)
% 0.15/0.41  % (18270)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.15/0.41  % (18267)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.15/0.41  % (18272)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)
% 0.15/0.41  % (18271)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)
% 0.15/0.41  % (18273)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.15/0.41  % (18274)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)
% 0.15/0.41  % (18270)Instruction limit reached!
% 0.15/0.41  % (18270)------------------------------
% 0.15/0.41  % (18270)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41  % (18270)Termination reason: Unknown
% 0.15/0.41  % (18270)Termination phase: Saturation
% 0.15/0.41  % (18271)Instruction limit reached!
% 0.15/0.41  % (18271)------------------------------
% 0.15/0.41  % (18271)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41  
% 0.15/0.41  % (18270)Memory used [KB]: 895
% 0.15/0.41  % (18270)Time elapsed: 0.003 s
% 0.15/0.41  % (18270)Instructions burned: 2 (million)
% 0.15/0.41  % (18270)------------------------------
% 0.15/0.41  % (18270)------------------------------
% 0.15/0.41  % (18271)Termination reason: Unknown
% 0.15/0.41  % (18271)Termination phase: Saturation
% 0.15/0.41  
% 0.15/0.41  % (18271)Memory used [KB]: 5373
% 0.15/0.41  % (18271)Time elapsed: 0.003 s
% 0.15/0.41  % (18271)Instructions burned: 2 (million)
% 0.15/0.41  % (18271)------------------------------
% 0.15/0.41  % (18271)------------------------------
% 0.15/0.41  % (18274)Instruction limit reached!
% 0.15/0.41  % (18274)------------------------------
% 0.15/0.41  % (18274)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41  % (18274)Termination reason: Unknown
% 0.15/0.41  % (18274)Termination phase: Saturation
% 0.15/0.41  
% 0.15/0.41  % (18274)Memory used [KB]: 5500
% 0.15/0.41  % (18272)First to succeed.
% 0.15/0.41  % (18274)Time elapsed: 0.004 s
% 0.15/0.41  % (18274)Instructions burned: 3 (million)
% 0.15/0.41  % (18274)------------------------------
% 0.15/0.41  % (18274)------------------------------
% 0.15/0.41  % (18268)Instruction limit reached!
% 0.15/0.41  % (18268)------------------------------
% 0.15/0.41  % (18268)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41  % (18268)Termination reason: Unknown
% 0.15/0.41  % (18268)Termination phase: Saturation
% 0.15/0.41  
% 0.15/0.41  % (18268)Memory used [KB]: 5500
% 0.15/0.41  % (18268)Time elapsed: 0.005 s
% 0.15/0.41  % (18268)Instructions burned: 4 (million)
% 0.15/0.41  % (18268)------------------------------
% 0.15/0.41  % (18268)------------------------------
% 0.15/0.41  % (18273)Also succeeded, but the first one will report.
% 0.15/0.41  % (18272)Refutation found. Thanks to Tanya!
% 0.15/0.41  % SZS status Theorem for theBenchmark
% 0.15/0.41  % SZS output start Proof for theBenchmark
% 0.15/0.41  thf(func_def_0, type, cP: $i > $o).
% 0.15/0.41  thf(f82,plain,(
% 0.15/0.41    $false),
% 0.15/0.41    inference(avatar_sat_refutation,[],[f36,f50,f64,f69,f71,f73,f75,f79,f81])).
% 0.15/0.41  thf(f81,plain,(
% 0.15/0.41    spl7_2 | ~spl7_4),
% 0.15/0.41    inference(avatar_contradiction_clause,[],[f80])).
% 0.15/0.41  thf(f80,plain,(
% 0.15/0.41    $false | (spl7_2 | ~spl7_4)),
% 0.15/0.41    inference(subsumption_resolution,[],[f32,f39])).
% 0.15/0.41  thf(f39,plain,(
% 0.15/0.41    ( ! [X12 : $i] : (((cP @ X12) = $true)) ) | ~spl7_4),
% 0.15/0.41    inference(avatar_component_clause,[],[f38])).
% 0.15/0.41  thf(f38,plain,(
% 0.15/0.41    spl7_4 <=> ! [X12] : ((cP @ X12) = $true)),
% 0.15/0.41    introduced(avatar_definition,[new_symbols(naming,[spl7_4])])).
% 0.15/0.41  thf(f32,plain,(
% 0.15/0.41    ((cP @ sK0) != $true) | spl7_2),
% 0.15/0.41    inference(avatar_component_clause,[],[f30])).
% 0.15/0.41  thf(f30,plain,(
% 0.15/0.41    spl7_2 <=> ((cP @ sK0) = $true)),
% 0.15/0.41    introduced(avatar_definition,[new_symbols(naming,[spl7_2])])).
% 0.15/0.41  thf(f79,plain,(
% 0.15/0.41    ~spl7_3 | ~spl7_4),
% 0.15/0.41    inference(avatar_contradiction_clause,[],[f78])).
% 0.15/0.41  thf(f78,plain,(
% 0.15/0.41    $false | (~spl7_3 | ~spl7_4)),
% 0.15/0.41    inference(subsumption_resolution,[],[f39,f35])).
% 0.15/0.41  thf(f35,plain,(
% 0.15/0.41    ( ! [X4 : $i] : (((cP @ X4) != $true)) ) | ~spl7_3),
% 0.15/0.41    inference(avatar_component_clause,[],[f34])).
% 0.15/0.41  thf(f34,plain,(
% 0.15/0.41    spl7_3 <=> ! [X4] : ((cP @ X4) != $true)),
% 0.15/0.41    introduced(avatar_definition,[new_symbols(naming,[spl7_3])])).
% 0.15/0.41  thf(f75,plain,(
% 0.15/0.41    ~spl7_3 | ~spl7_9),
% 0.15/0.41    inference(avatar_contradiction_clause,[],[f74])).
% 0.15/0.41  thf(f74,plain,(
% 0.15/0.41    $false | (~spl7_3 | ~spl7_9)),
% 0.15/0.41    inference(subsumption_resolution,[],[f63,f35])).
% 0.15/0.41  thf(f63,plain,(
% 0.15/0.41    ($true = (cP @ sK1)) | ~spl7_9),
% 0.15/0.41    inference(avatar_component_clause,[],[f61])).
% 0.15/0.41  thf(f61,plain,(
% 0.15/0.41    spl7_9 <=> ($true = (cP @ sK1))),
% 0.15/0.41    introduced(avatar_definition,[new_symbols(naming,[spl7_9])])).
% 0.15/0.41  thf(f73,plain,(
% 0.15/0.41    ~spl7_3 | ~spl7_6),
% 0.15/0.41    inference(avatar_contradiction_clause,[],[f72])).
% 0.15/0.41  thf(f72,plain,(
% 0.15/0.41    $false | (~spl7_3 | ~spl7_6)),
% 0.15/0.41    inference(subsumption_resolution,[],[f48,f35])).
% 0.15/0.41  thf(f48,plain,(
% 0.15/0.41    ((cP @ sK3) = $true) | ~spl7_6),
% 0.15/0.41    inference(avatar_component_clause,[],[f46])).
% 0.15/0.41  thf(f46,plain,(
% 0.15/0.41    spl7_6 <=> ((cP @ sK3) = $true)),
% 0.15/0.41    introduced(avatar_definition,[new_symbols(naming,[spl7_6])])).
% 0.15/0.41  thf(f71,plain,(
% 0.15/0.41    spl7_1 | ~spl7_4),
% 0.15/0.41    inference(avatar_contradiction_clause,[],[f70])).
% 0.15/0.41  thf(f70,plain,(
% 0.15/0.41    $false | (spl7_1 | ~spl7_4)),
% 0.15/0.41    inference(subsumption_resolution,[],[f28,f39])).
% 0.15/0.41  thf(f28,plain,(
% 0.15/0.41    ($true != (cP @ sK2)) | spl7_1),
% 0.15/0.41    inference(avatar_component_clause,[],[f26])).
% 0.15/0.41  thf(f26,plain,(
% 0.15/0.41    spl7_1 <=> ($true = (cP @ sK2))),
% 0.15/0.41    introduced(avatar_definition,[new_symbols(naming,[spl7_1])])).
% 0.15/0.41  thf(f69,plain,(
% 0.15/0.41    ~spl7_2 | ~spl7_3),
% 0.15/0.41    inference(avatar_contradiction_clause,[],[f68])).
% 0.15/0.41  thf(f68,plain,(
% 0.15/0.41    $false | (~spl7_2 | ~spl7_3)),
% 0.15/0.41    inference(trivial_inequality_removal,[],[f67])).
% 0.15/0.41  thf(f67,plain,(
% 0.15/0.41    ($true != $true) | (~spl7_2 | ~spl7_3)),
% 0.15/0.41    inference(superposition,[],[f35,f31])).
% 0.15/0.41  thf(f31,plain,(
% 0.15/0.41    ((cP @ sK0) = $true) | ~spl7_2),
% 0.15/0.41    inference(avatar_component_clause,[],[f30])).
% 0.15/0.41  thf(f64,plain,(
% 0.15/0.41    spl7_2 | spl7_4 | spl7_6 | spl7_9),
% 0.15/0.41    inference(avatar_split_clause,[],[f21,f61,f46,f38,f30])).
% 0.15/0.41  thf(f21,plain,(
% 0.15/0.41    ( ! [X5 : $i] : (((cP @ sK0) = $true) | ((cP @ X5) = $true) | ($true = (cP @ sK1)) | ((cP @ sK3) = $true)) )),
% 0.15/0.41    inference(cnf_transformation,[],[f16])).
% 0.15/0.41  thf(f16,plain,(
% 0.15/0.41    (((! [X1] : ((cP @ X1) != $true) | ((cP @ sK0) != $true)) & (($true = (cP @ sK1)) | ((cP @ sK0) = $true))) | ((($true != (cP @ sK2)) | ! [X4] : ((cP @ X4) != $true)) & (! [X5] : ((cP @ X5) = $true) | ((cP @ sK3) = $true)))) & (! [X7] : ((((cP @ X7) = $true) | ! [X8] : ((cP @ X8) != $true)) & (($true = (cP @ sK4)) | ((cP @ X7) != $true))) | ((((cP @ sK5) = $true) | ((cP @ sK6) != $true)) & (! [X12] : ((cP @ X12) = $true) | ! [X13] : ($true != (cP @ X13)))))),
% 0.15/0.41    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6])],[f8,f15,f14,f13,f12,f11,f10,f9])).
% 0.15/0.41  thf(f9,plain,(
% 0.15/0.41    ? [X0] : ((! [X1] : ((cP @ X1) != $true) | ((cP @ X0) != $true)) & (? [X2] : ($true = (cP @ X2)) | ((cP @ X0) = $true))) => ((! [X1] : ((cP @ X1) != $true) | ((cP @ sK0) != $true)) & (? [X2] : ($true = (cP @ X2)) | ((cP @ sK0) = $true)))),
% 0.15/0.41    introduced(choice_axiom,[])).
% 0.15/0.41  thf(f10,plain,(
% 0.15/0.41    ? [X2] : ($true = (cP @ X2)) => ($true = (cP @ sK1))),
% 0.15/0.41    introduced(choice_axiom,[])).
% 0.15/0.41  thf(f11,plain,(
% 0.15/0.41    ? [X3] : ($true != (cP @ X3)) => ($true != (cP @ sK2))),
% 0.15/0.41    introduced(choice_axiom,[])).
% 0.15/0.41  thf(f12,plain,(
% 0.15/0.41    ? [X6] : ((cP @ X6) = $true) => ((cP @ sK3) = $true)),
% 0.15/0.41    introduced(choice_axiom,[])).
% 0.15/0.41  thf(f13,plain,(
% 0.15/0.41    ? [X9] : ((cP @ X9) = $true) => ($true = (cP @ sK4))),
% 0.15/0.41    introduced(choice_axiom,[])).
% 0.15/0.41  thf(f14,plain,(
% 0.15/0.41    ? [X10] : ((cP @ X10) = $true) => ((cP @ sK5) = $true)),
% 0.15/0.41    introduced(choice_axiom,[])).
% 0.15/0.41  thf(f15,plain,(
% 0.15/0.41    ? [X11] : ((cP @ X11) != $true) => ((cP @ sK6) != $true)),
% 0.15/0.41    introduced(choice_axiom,[])).
% 0.15/0.41  thf(f8,plain,(
% 0.15/0.41    (? [X0] : ((! [X1] : ((cP @ X1) != $true) | ((cP @ X0) != $true)) & (? [X2] : ($true = (cP @ X2)) | ((cP @ X0) = $true))) | ((? [X3] : ($true != (cP @ X3)) | ! [X4] : ((cP @ X4) != $true)) & (! [X5] : ((cP @ X5) = $true) | ? [X6] : ((cP @ X6) = $true)))) & (! [X7] : ((((cP @ X7) = $true) | ! [X8] : ((cP @ X8) != $true)) & (? [X9] : ((cP @ X9) = $true) | ((cP @ X7) != $true))) | ((? [X10] : ((cP @ X10) = $true) | ? [X11] : ((cP @ X11) != $true)) & (! [X12] : ((cP @ X12) = $true) | ! [X13] : ($true != (cP @ X13)))))),
% 0.15/0.41    inference(rectify,[],[f7])).
% 0.15/0.41  thf(f7,plain,(
% 0.15/0.41    (? [X2] : ((! [X3] : ($true != (cP @ X3)) | ($true != (cP @ X2))) & (? [X3] : ($true = (cP @ X3)) | ($true = (cP @ X2)))) | ((? [X1] : ((cP @ X1) != $true) | ! [X0] : ((cP @ X0) != $true)) & (! [X1] : ((cP @ X1) = $true) | ? [X0] : ((cP @ X0) = $true)))) & (! [X2] : ((($true = (cP @ X2)) | ! [X3] : ($true != (cP @ X3))) & (? [X3] : ($true = (cP @ X3)) | ($true != (cP @ X2)))) | ((? [X0] : ((cP @ X0) = $true) | ? [X1] : ((cP @ X1) != $true)) & (! [X1] : ((cP @ X1) = $true) | ! [X0] : ((cP @ X0) != $true))))),
% 0.15/0.41    inference(nnf_transformation,[],[f6])).
% 0.15/0.41  thf(f6,plain,(
% 0.15/0.41    (? [X0] : ((cP @ X0) = $true) <=> ! [X1] : ((cP @ X1) = $true)) <~> ! [X2] : (($true = (cP @ X2)) <=> ? [X3] : ($true = (cP @ X3)))),
% 0.15/0.41    inference(ennf_transformation,[],[f5])).
% 0.15/0.41  thf(f5,plain,(
% 0.15/0.41    ~(! [X2] : (($true = (cP @ X2)) <=> ? [X3] : ($true = (cP @ X3))) <=> (? [X0] : ((cP @ X0) = $true) <=> ! [X1] : ((cP @ X1) = $true)))),
% 0.15/0.41    inference(fool_elimination,[],[f4])).
% 0.15/0.41  thf(f4,plain,(
% 0.15/0.41    ~((? [X0] : (cP @ X0) <=> ! [X1] : (cP @ X1)) <=> ! [X2] : (? [X3] : (cP @ X3) <=> (cP @ X2)))),
% 0.15/0.41    inference(rectify,[],[f2])).
% 0.15/0.41  thf(f2,negated_conjecture,(
% 0.15/0.41    ~((? [X1] : (cP @ X1) <=> ! [X0] : (cP @ X0)) <=> ! [X0] : (? [X1] : (cP @ X1) <=> (cP @ X0)))),
% 0.15/0.41    inference(negated_conjecture,[],[f1])).
% 0.15/0.41  thf(f1,conjecture,(
% 0.15/0.41    (? [X1] : (cP @ X1) <=> ! [X0] : (cP @ X0)) <=> ! [X0] : (? [X1] : (cP @ X1) <=> (cP @ X0))),
% 0.15/0.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM53)).
% 0.15/0.41  thf(f50,plain,(
% 0.15/0.41    spl7_4 | spl7_4 | spl7_3 | spl7_3),
% 0.15/0.41    inference(avatar_split_clause,[],[f19,f34,f34,f38,f38])).
% 0.15/0.41  thf(f19,plain,(
% 0.15/0.41    ( ! [X8 : $i,X7 : $i,X12 : $i,X13 : $i] : (((cP @ X12) = $true) | ((cP @ X7) = $true) | ((cP @ X8) != $true) | ($true != (cP @ X13))) )),
% 0.15/0.41    inference(cnf_transformation,[],[f16])).
% 0.15/0.41  thf(f36,plain,(
% 0.15/0.41    ~spl7_1 | ~spl7_2 | spl7_3 | spl7_3),
% 0.15/0.41    inference(avatar_split_clause,[],[f24,f34,f34,f30,f26])).
% 0.15/0.41  thf(f24,plain,(
% 0.15/0.41    ( ! [X1 : $i,X4 : $i] : (((cP @ sK0) != $true) | ((cP @ X1) != $true) | ($true != (cP @ sK2)) | ((cP @ X4) != $true)) )),
% 0.15/0.41    inference(cnf_transformation,[],[f16])).
% 0.15/0.41  % SZS output end Proof for theBenchmark
% 0.15/0.41  % (18272)------------------------------
% 0.15/0.41  % (18272)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41  % (18272)Termination reason: Refutation
% 0.15/0.41  
% 0.15/0.41  % (18272)Memory used [KB]: 5500
% 0.15/0.41  % (18272)Time elapsed: 0.005 s
% 0.15/0.41  % (18272)Instructions burned: 3 (million)
% 0.15/0.41  % (18272)------------------------------
% 0.15/0.41  % (18272)------------------------------
% 0.15/0.41  % (18266)Success in time 0.006 s
% 0.15/0.41  % Vampire---4.8 exiting
%------------------------------------------------------------------------------