TSTP Solution File: SEV416^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEV416^5 : 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 : n023.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 04:13:42 EDT 2024

% Result   : Theorem 0.13s 0.37s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SEV416^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.13  % 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
% 0.13/0.34  % Computer : n023.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sun May 19 19:16:53 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  This is a TH0_THM_NEQ_NAR problem
% 0.13/0.35  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
% 0.13/0.36  % (584)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)
% 0.13/0.36  % (586)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)
% 0.13/0.36  % (583)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)
% 0.13/0.36  % (588)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)
% 0.13/0.36  % (589)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.13/0.37  % (586)Instruction limit reached!
% 0.13/0.37  % (586)------------------------------
% 0.13/0.37  % (586)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (586)Termination reason: Unknown
% 0.13/0.37  % (586)Termination phase: Saturation
% 0.13/0.37  
% 0.13/0.37  % (586)Memory used [KB]: 895
% 0.13/0.37  % (586)Time elapsed: 0.003 s
% 0.13/0.37  % (586)Instructions burned: 2 (million)
% 0.13/0.37  % (586)------------------------------
% 0.13/0.37  % (586)------------------------------
% 0.13/0.37  % (590)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)
% 0.13/0.37  % (585)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.13/0.37  % (588)First to succeed.
% 0.13/0.37  % (585)Instruction limit reached!
% 0.13/0.37  % (585)------------------------------
% 0.13/0.37  % (585)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (585)Termination reason: Unknown
% 0.13/0.37  % (585)Termination phase: Saturation
% 0.13/0.37  
% 0.13/0.37  % (585)Memory used [KB]: 895
% 0.13/0.37  % (585)Time elapsed: 0.004 s
% 0.13/0.37  % (585)Instructions burned: 2 (million)
% 0.13/0.37  % (585)------------------------------
% 0.13/0.37  % (585)------------------------------
% 0.13/0.37  % (590)Instruction limit reached!
% 0.13/0.37  % (590)------------------------------
% 0.13/0.37  % (590)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (590)Termination reason: Unknown
% 0.13/0.37  % (590)Termination phase: Saturation
% 0.13/0.37  
% 0.13/0.37  % (590)Memory used [KB]: 5500
% 0.13/0.37  % (590)Time elapsed: 0.004 s
% 0.13/0.37  % (590)Instructions burned: 3 (million)
% 0.13/0.37  % (590)------------------------------
% 0.13/0.37  % (590)------------------------------
% 0.13/0.37  % (583)Also succeeded, but the first one will report.
% 0.13/0.37  % (588)Refutation found. Thanks to Tanya!
% 0.13/0.37  % SZS status Theorem for theBenchmark
% 0.13/0.37  % SZS output start Proof for theBenchmark
% 0.13/0.37  thf(func_def_1, type, cB: $i > $o).
% 0.13/0.37  thf(func_def_2, type, cA: $i > $o).
% 0.13/0.37  thf(f80,plain,(
% 0.13/0.37    $false),
% 0.13/0.37    inference(avatar_sat_refutation,[],[f47,f52,f57,f62,f63,f64,f65,f66,f67,f72,f75,f79])).
% 0.13/0.37  thf(f79,plain,(
% 0.13/0.37    ~spl3_1 | spl3_7),
% 0.13/0.37    inference(avatar_contradiction_clause,[],[f78])).
% 0.13/0.37  thf(f78,plain,(
% 0.13/0.37    $false | (~spl3_1 | spl3_7)),
% 0.13/0.37    inference(subsumption_resolution,[],[f77,f34])).
% 0.13/0.37  thf(f34,plain,(
% 0.13/0.37    ((cA @ sK2) = $true) | ~spl3_1),
% 0.13/0.37    inference(avatar_component_clause,[],[f32])).
% 0.13/0.37  thf(f32,plain,(
% 0.13/0.37    spl3_1 <=> ((cA @ sK2) = $true)),
% 0.13/0.37    introduced(avatar_definition,[new_symbols(naming,[spl3_1])])).
% 0.13/0.37  thf(f77,plain,(
% 0.13/0.37    ((cA @ sK2) != $true) | spl3_7),
% 0.13/0.37    inference(trivial_inequality_removal,[],[f76])).
% 0.13/0.37  thf(f76,plain,(
% 0.13/0.37    ($true != $true) | ((cA @ sK2) != $true) | spl3_7),
% 0.13/0.37    inference(superposition,[],[f61,f22])).
% 0.13/0.37  thf(f22,plain,(
% 0.13/0.37    ( ! [X0 : $i] : (((cB @ X0) = $true) | ((cA @ X0) != $true)) )),
% 0.13/0.37    inference(cnf_transformation,[],[f12])).
% 0.13/0.37  thf(f12,plain,(
% 0.13/0.37    ! [X0] : (((cA @ X0) != $true) | ((cB @ X0) = $true)) & (cG != $true) & ((cG = $true) | (($true = (cA @ sK0)) & ($true != (cB @ sK0))) | (($true = (cA @ sK1)) & ($true != (cB @ sK1))) | (((cA @ sK2) = $true) & ((cB @ sK2) != $true)) | (cG = $true))),
% 0.13/0.37    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f8,f11,f10,f9])).
% 0.13/0.37  thf(f9,plain,(
% 0.13/0.37    ? [X1] : (($true = (cA @ X1)) & ((cB @ X1) != $true)) => (($true = (cA @ sK0)) & ($true != (cB @ sK0)))),
% 0.13/0.37    introduced(choice_axiom,[])).
% 0.13/0.37  thf(f10,plain,(
% 0.13/0.37    ? [X2] : (($true = (cA @ X2)) & ((cB @ X2) != $true)) => (($true = (cA @ sK1)) & ($true != (cB @ sK1)))),
% 0.13/0.37    introduced(choice_axiom,[])).
% 0.13/0.37  thf(f11,plain,(
% 0.13/0.37    ? [X3] : (($true = (cA @ X3)) & ($true != (cB @ X3))) => (((cA @ sK2) = $true) & ((cB @ sK2) != $true))),
% 0.13/0.37    introduced(choice_axiom,[])).
% 0.13/0.37  thf(f8,plain,(
% 0.13/0.37    ! [X0] : (((cA @ X0) != $true) | ((cB @ X0) = $true)) & (cG != $true) & ((cG = $true) | ? [X1] : (($true = (cA @ X1)) & ((cB @ X1) != $true)) | ? [X2] : (($true = (cA @ X2)) & ((cB @ X2) != $true)) | ? [X3] : (($true = (cA @ X3)) & ($true != (cB @ X3))) | (cG = $true))),
% 0.13/0.37    inference(rectify,[],[f7])).
% 0.13/0.37  thf(f7,plain,(
% 0.13/0.37    ! [X3] : (($true != (cA @ X3)) | ($true = (cB @ X3))) & (cG != $true) & ((cG = $true) | ? [X1] : (($true = (cA @ X1)) & ((cB @ X1) != $true)) | ? [X2] : (($true = (cA @ X2)) & ((cB @ X2) != $true)) | ? [X0] : (((cA @ X0) = $true) & ((cB @ X0) != $true)) | (cG = $true))),
% 0.13/0.37    inference(flattening,[],[f6])).
% 0.13/0.37  thf(f6,plain,(
% 0.13/0.37    ((cG != $true) & ! [X3] : (($true != (cA @ X3)) | ($true = (cB @ X3)))) & (((cG = $true) | (? [X1] : (($true = (cA @ X1)) & ((cB @ X1) != $true)) | ? [X0] : (((cA @ X0) = $true) & ((cB @ X0) != $true)))) | ((cG = $true) | ? [X2] : (($true = (cA @ X2)) & ((cB @ X2) != $true))))),
% 0.13/0.37    inference(ennf_transformation,[],[f5])).
% 0.13/0.37  thf(f5,plain,(
% 0.13/0.37    ~((((! [X1] : (($true = (cA @ X1)) => ((cB @ X1) = $true)) & ! [X0] : (((cA @ X0) = $true) => ((cB @ X0) = $true))) => (cG = $true)) | (! [X2] : (($true = (cA @ X2)) => ((cB @ X2) = $true)) => (cG = $true))) => (! [X3] : (($true = (cA @ X3)) => ($true = (cB @ X3))) => (cG = $true)))),
% 0.13/0.37    inference(fool_elimination,[],[f4])).
% 0.13/0.37  thf(f4,plain,(
% 0.13/0.37    ~((((! [X0] : ((cA @ X0) => (cB @ X0)) & ! [X1] : ((cA @ X1) => (cB @ X1))) => cG) | (! [X2] : ((cA @ X2) => (cB @ X2)) => cG)) => (! [X3] : ((cA @ X3) => (cB @ X3)) => cG))),
% 0.13/0.37    inference(rectify,[],[f2])).
% 0.13/0.37  thf(f2,negated_conjecture,(
% 0.13/0.37    ~((((! [X0] : ((cA @ X0) => (cB @ X0)) & ! [X0] : ((cA @ X0) => (cB @ X0))) => cG) | (! [X0] : ((cA @ X0) => (cB @ X0)) => cG)) => (! [X0] : ((cA @ X0) => (cB @ X0)) => cG))),
% 0.13/0.37    inference(negated_conjecture,[],[f1])).
% 0.13/0.37  thf(f1,conjecture,(
% 0.13/0.37    (((! [X0] : ((cA @ X0) => (cB @ X0)) & ! [X0] : ((cA @ X0) => (cB @ X0))) => cG) | (! [X0] : ((cA @ X0) => (cB @ X0)) => cG)) => (! [X0] : ((cA @ X0) => (cB @ X0)) => cG)),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cDUAL_EG3_pme)).
% 0.13/0.37  thf(f61,plain,(
% 0.13/0.37    ((cB @ sK2) != $true) | spl3_7),
% 0.13/0.37    inference(avatar_component_clause,[],[f59])).
% 0.13/0.37  thf(f59,plain,(
% 0.13/0.37    spl3_7 <=> ((cB @ sK2) = $true)),
% 0.13/0.37    introduced(avatar_definition,[new_symbols(naming,[spl3_7])])).
% 0.13/0.37  thf(f75,plain,(
% 0.13/0.37    ~spl3_4 | spl3_5),
% 0.13/0.37    inference(avatar_split_clause,[],[f70,f49,f44])).
% 0.13/0.37  thf(f44,plain,(
% 0.13/0.37    spl3_4 <=> ($true = (cA @ sK1))),
% 0.13/0.37    introduced(avatar_definition,[new_symbols(naming,[spl3_4])])).
% 0.13/0.37  thf(f49,plain,(
% 0.13/0.37    spl3_5 <=> ($true = (cB @ sK1))),
% 0.13/0.37    introduced(avatar_definition,[new_symbols(naming,[spl3_5])])).
% 0.13/0.37  thf(f70,plain,(
% 0.13/0.37    ($true != (cA @ sK1)) | spl3_5),
% 0.13/0.37    inference(trivial_inequality_removal,[],[f69])).
% 0.13/0.37  thf(f69,plain,(
% 0.13/0.37    ($true != (cA @ sK1)) | ($true != $true) | spl3_5),
% 0.13/0.37    inference(superposition,[],[f51,f22])).
% 0.13/0.37  thf(f51,plain,(
% 0.13/0.37    ($true != (cB @ sK1)) | spl3_5),
% 0.13/0.37    inference(avatar_component_clause,[],[f49])).
% 0.13/0.37  thf(f72,plain,(
% 0.13/0.37    ~spl3_6 | spl3_3),
% 0.13/0.37    inference(avatar_split_clause,[],[f71,f40,f54])).
% 0.13/0.37  thf(f54,plain,(
% 0.13/0.37    spl3_6 <=> ($true = (cA @ sK0))),
% 0.13/0.37    introduced(avatar_definition,[new_symbols(naming,[spl3_6])])).
% 0.13/0.37  thf(f40,plain,(
% 0.13/0.37    spl3_3 <=> ($true = (cB @ sK0))),
% 0.13/0.37    introduced(avatar_definition,[new_symbols(naming,[spl3_3])])).
% 0.13/0.37  thf(f71,plain,(
% 0.13/0.37    ($true != (cA @ sK0)) | spl3_3),
% 0.13/0.37    inference(trivial_inequality_removal,[],[f68])).
% 0.13/0.37  thf(f68,plain,(
% 0.13/0.37    ($true != (cA @ sK0)) | ($true != $true) | spl3_3),
% 0.13/0.37    inference(superposition,[],[f42,f22])).
% 0.13/0.37  thf(f42,plain,(
% 0.13/0.37    ($true != (cB @ sK0)) | spl3_3),
% 0.13/0.37    inference(avatar_component_clause,[],[f40])).
% 0.13/0.37  thf(f67,plain,(
% 0.13/0.37    spl3_2 | ~spl3_7 | ~spl3_3 | ~spl3_5),
% 0.13/0.37    inference(avatar_split_clause,[],[f23,f49,f40,f59,f36])).
% 0.13/0.37  thf(f36,plain,(
% 0.13/0.37    spl3_2 <=> (cG = $true)),
% 0.13/0.37    introduced(avatar_definition,[new_symbols(naming,[spl3_2])])).
% 0.13/0.37  thf(f23,plain,(
% 0.13/0.37    ($true != (cB @ sK1)) | ((cB @ sK2) != $true) | (cG = $true) | ($true != (cB @ sK0))),
% 0.13/0.37    inference(duplicate_literal_removal,[],[f13])).
% 0.13/0.37  thf(f13,plain,(
% 0.13/0.37    ($true != (cB @ sK1)) | (cG = $true) | (cG = $true) | ((cB @ sK2) != $true) | ($true != (cB @ sK0))),
% 0.13/0.37    inference(cnf_transformation,[],[f12])).
% 0.13/0.37  thf(f66,plain,(
% 0.13/0.37    spl3_2 | spl3_4 | spl3_6 | ~spl3_7),
% 0.13/0.37    inference(avatar_split_clause,[],[f24,f59,f54,f44,f36])).
% 0.13/0.37  thf(f24,plain,(
% 0.13/0.37    ($true = (cA @ sK1)) | (cG = $true) | ((cB @ sK2) != $true) | ($true = (cA @ sK0))),
% 0.13/0.37    inference(duplicate_literal_removal,[],[f19])).
% 0.13/0.37  thf(f19,plain,(
% 0.13/0.37    (cG = $true) | ((cB @ sK2) != $true) | ($true = (cA @ sK1)) | (cG = $true) | ($true = (cA @ sK0))),
% 0.13/0.37    inference(cnf_transformation,[],[f12])).
% 0.13/0.37  thf(f65,plain,(
% 0.13/0.37    ~spl3_7 | spl3_4 | ~spl3_3 | spl3_2),
% 0.13/0.37    inference(avatar_split_clause,[],[f25,f36,f40,f44,f59])).
% 0.13/0.37  thf(f25,plain,(
% 0.13/0.37    ($true != (cB @ sK0)) | ($true = (cA @ sK1)) | (cG = $true) | ((cB @ sK2) != $true)),
% 0.13/0.37    inference(duplicate_literal_removal,[],[f15])).
% 0.13/0.37  thf(f15,plain,(
% 0.13/0.37    ($true != (cB @ sK0)) | ((cB @ sK2) != $true) | (cG = $true) | ($true = (cA @ sK1)) | (cG = $true)),
% 0.13/0.37    inference(cnf_transformation,[],[f12])).
% 0.13/0.37  thf(f64,plain,(
% 0.13/0.37    ~spl3_2),
% 0.13/0.37    inference(avatar_split_clause,[],[f21,f36])).
% 0.13/0.37  thf(f21,plain,(
% 0.13/0.37    (cG != $true)),
% 0.13/0.37    inference(cnf_transformation,[],[f12])).
% 0.13/0.37  thf(f63,plain,(
% 0.13/0.37    ~spl3_5 | spl3_2 | spl3_6 | spl3_1),
% 0.13/0.37    inference(avatar_split_clause,[],[f26,f32,f54,f36,f49])).
% 0.13/0.37  thf(f26,plain,(
% 0.13/0.37    ((cA @ sK2) = $true) | ($true = (cA @ sK0)) | ($true != (cB @ sK1)) | (cG = $true)),
% 0.13/0.37    inference(duplicate_literal_removal,[],[f18])).
% 0.13/0.37  thf(f18,plain,(
% 0.13/0.37    (cG = $true) | ($true = (cA @ sK0)) | ($true != (cB @ sK1)) | (cG = $true) | ((cA @ sK2) = $true)),
% 0.13/0.37    inference(cnf_transformation,[],[f12])).
% 0.13/0.37  thf(f62,plain,(
% 0.13/0.37    ~spl3_7 | spl3_2 | ~spl3_5 | spl3_6),
% 0.13/0.37    inference(avatar_split_clause,[],[f27,f54,f49,f36,f59])).
% 0.13/0.37  thf(f27,plain,(
% 0.13/0.37    ($true = (cA @ sK0)) | ((cB @ sK2) != $true) | ($true != (cB @ sK1)) | (cG = $true)),
% 0.13/0.37    inference(duplicate_literal_removal,[],[f17])).
% 0.13/0.37  thf(f17,plain,(
% 0.13/0.37    ($true != (cB @ sK1)) | ((cB @ sK2) != $true) | (cG = $true) | ($true = (cA @ sK0)) | (cG = $true)),
% 0.13/0.37    inference(cnf_transformation,[],[f12])).
% 0.13/0.37  thf(f57,plain,(
% 0.13/0.37    spl3_4 | spl3_1 | spl3_2 | spl3_6),
% 0.13/0.37    inference(avatar_split_clause,[],[f28,f54,f36,f32,f44])).
% 0.13/0.37  thf(f28,plain,(
% 0.13/0.37    ($true = (cA @ sK1)) | ($true = (cA @ sK0)) | ((cA @ sK2) = $true) | (cG = $true)),
% 0.13/0.37    inference(duplicate_literal_removal,[],[f20])).
% 0.13/0.37  thf(f20,plain,(
% 0.13/0.37    (cG = $true) | ($true = (cA @ sK0)) | ($true = (cA @ sK1)) | ((cA @ sK2) = $true) | (cG = $true)),
% 0.13/0.37    inference(cnf_transformation,[],[f12])).
% 0.13/0.37  thf(f52,plain,(
% 0.13/0.37    spl3_2 | ~spl3_3 | spl3_1 | ~spl3_5),
% 0.13/0.37    inference(avatar_split_clause,[],[f29,f49,f32,f40,f36])).
% 0.13/0.37  thf(f29,plain,(
% 0.13/0.37    (cG = $true) | ($true != (cB @ sK0)) | ((cA @ sK2) = $true) | ($true != (cB @ sK1))),
% 0.13/0.37    inference(duplicate_literal_removal,[],[f14])).
% 0.13/0.37  thf(f14,plain,(
% 0.13/0.37    (cG = $true) | ($true != (cB @ sK0)) | ($true != (cB @ sK1)) | (cG = $true) | ((cA @ sK2) = $true)),
% 0.13/0.37    inference(cnf_transformation,[],[f12])).
% 0.13/0.37  thf(f47,plain,(
% 0.13/0.37    spl3_1 | spl3_2 | ~spl3_3 | spl3_4),
% 0.13/0.37    inference(avatar_split_clause,[],[f30,f44,f40,f36,f32])).
% 0.13/0.37  thf(f30,plain,(
% 0.13/0.37    ($true != (cB @ sK0)) | ((cA @ sK2) = $true) | ($true = (cA @ sK1)) | (cG = $true)),
% 0.13/0.37    inference(duplicate_literal_removal,[],[f16])).
% 0.13/0.37  thf(f16,plain,(
% 0.13/0.37    ($true != (cB @ sK0)) | (cG = $true) | (cG = $true) | ($true = (cA @ sK1)) | ((cA @ sK2) = $true)),
% 0.13/0.37    inference(cnf_transformation,[],[f12])).
% 0.13/0.37  % SZS output end Proof for theBenchmark
% 0.13/0.37  % (588)------------------------------
% 0.13/0.37  % (588)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (588)Termination reason: Refutation
% 0.13/0.37  
% 0.13/0.37  % (588)Memory used [KB]: 5500
% 0.13/0.37  % (588)Time elapsed: 0.006 s
% 0.13/0.37  % (588)Instructions burned: 3 (million)
% 0.13/0.37  % (588)------------------------------
% 0.13/0.37  % (588)------------------------------
% 0.13/0.37  % (581)Success in time 0.006 s
% 0.13/0.37  % Vampire---4.8 exiting
%------------------------------------------------------------------------------