TSTP Solution File: SYO238^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO238^5 : 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 : n019.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 09:03:36 EDT 2024

% Result   : Theorem 0.14s 0.37s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYO238^5 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.14  % 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 : n019.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 09:21:23 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  % (21459)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  % (21453)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.14/0.37  % (21455)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)
% 0.14/0.37  % (21454)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)
% 0.14/0.37  % (21456)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.14/0.37  % (21457)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)
% 0.14/0.37  % (21458)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)
% 0.14/0.37  % (21459)First to succeed.
% 0.14/0.37  % (21457)Instruction limit reached!
% 0.14/0.37  % (21457)------------------------------
% 0.14/0.37  % (21457)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37  % (21457)Termination reason: Unknown
% 0.14/0.37  % (21457)Termination phase: Saturation
% 0.14/0.37  
% 0.14/0.37  % (21457)Memory used [KB]: 5373
% 0.14/0.37  % (21457)Time elapsed: 0.003 s
% 0.14/0.37  % (21457)Instructions burned: 2 (million)
% 0.14/0.37  % (21457)------------------------------
% 0.14/0.37  % (21457)------------------------------
% 0.14/0.37  % (21460)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  % (21453)Also succeeded, but the first one will report.
% 0.14/0.37  % (21459)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_2, type, cP: $i > $o).
% 0.14/0.37  thf(func_def_3, type, f: $i > $i).
% 0.14/0.37  thf(func_def_10, type, ph1: !>[X0: $tType]:(X0)).
% 0.14/0.37  thf(f28,plain,(
% 0.14/0.37    $false),
% 0.14/0.37    inference(avatar_sat_refutation,[],[f21,f22,f27])).
% 0.14/0.37  thf(f27,plain,(
% 0.14/0.37    spl0_1),
% 0.14/0.37    inference(avatar_contradiction_clause,[],[f26])).
% 0.14/0.37  thf(f26,plain,(
% 0.14/0.37    $false | spl0_1),
% 0.14/0.37    inference(subsumption_resolution,[],[f25,f9])).
% 0.14/0.37  thf(f9,plain,(
% 0.14/0.37    ( ! [X0 : $i] : (((f @ X0) = X0)) )),
% 0.14/0.37    inference(cnf_transformation,[],[f8])).
% 0.14/0.37  thf(f8,plain,(
% 0.14/0.37    (cB != $true) & ((cB = $true) | ((^[Y0 : $i]: (Y0)) != (^[Y0 : $i]: (f @ (f @ Y0))))) & ((cP @ x) = $true) & ! [X0] : ((f @ X0) = X0)),
% 0.14/0.37    inference(flattening,[],[f7])).
% 0.14/0.37  thf(f7,plain,(
% 0.14/0.37    (((cB != $true) & ((cP @ x) = $true)) & ((cB = $true) | ((^[Y0 : $i]: (Y0)) != (^[Y0 : $i]: (f @ (f @ Y0)))))) & ! [X0] : ((f @ X0) = X0)),
% 0.14/0.37    inference(ennf_transformation,[],[f6])).
% 0.14/0.37  thf(f6,plain,(
% 0.14/0.37    ~(! [X0] : ((f @ X0) = X0) => ((((^[Y0 : $i]: (Y0)) = (^[Y0 : $i]: (f @ (f @ Y0)))) => (cB = $true)) => (((cP @ x) = $true) => (cB = $true))))),
% 0.14/0.37    inference(true_and_false_elimination,[],[f5])).
% 0.14/0.37  thf(f5,plain,(
% 0.14/0.37    ~(($true => ! [X0] : ((f @ X0) = X0)) => ((((^[Y0 : $i]: (Y0)) = (^[Y0 : $i]: (f @ (f @ Y0)))) => (cB = $true)) => (((cP @ x) = $true) => (cB = $true))))),
% 0.14/0.37    inference(fool_elimination,[],[f4])).
% 0.14/0.37  thf(f4,plain,(
% 0.14/0.37    ~(($true => ! [X0] : ((f @ X0) = X0)) => ((((^[X1 : $i] : (f @ (f @ X1))) = (^[X2 : $i] : (X2))) => cB) => ((cP @ x) => cB)))),
% 0.14/0.37    inference(rectify,[],[f2])).
% 0.14/0.37  thf(f2,negated_conjecture,(
% 0.14/0.37    ~(($true => ! [X0] : ((f @ X0) = X0)) => ((((^[X0 : $i] : (f @ (f @ X0))) = (^[X0 : $i] : (X0))) => cB) => ((cP @ x) => cB)))),
% 0.14/0.37    inference(negated_conjecture,[],[f1])).
% 0.14/0.37  thf(f1,conjecture,(
% 0.14/0.37    ($true => ! [X0] : ((f @ X0) = X0)) => ((((^[X0 : $i] : (f @ (f @ X0))) = (^[X0 : $i] : (X0))) => cB) => ((cP @ x) => cB))),
% 0.14/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cADDHYP5)).
% 0.14/0.37  thf(f25,plain,(
% 0.14/0.37    (sK2 != (f @ sK2)) | spl0_1),
% 0.14/0.37    inference(forward_demodulation,[],[f24,f9])).
% 0.20/0.37  thf(f24,plain,(
% 0.20/0.37    (sK2 != (f @ (f @ sK2))) | spl0_1),
% 0.20/0.37    inference(beta_eta_normalization,[],[f23])).
% 0.20/0.37  thf(f23,plain,(
% 0.20/0.37    (((^[Y0 : $i]: (Y0)) @ sK2) != ((^[Y0 : $i]: (f @ (f @ Y0))) @ sK2)) | spl0_1),
% 0.20/0.37    inference(negative_extensionality,[],[f16])).
% 0.20/0.37  thf(f16,plain,(
% 0.20/0.37    ((^[Y0 : $i]: (Y0)) != (^[Y0 : $i]: (f @ (f @ Y0)))) | spl0_1),
% 0.20/0.37    inference(avatar_component_clause,[],[f14])).
% 0.20/0.37  thf(f14,plain,(
% 0.20/0.37    spl0_1 <=> ((^[Y0 : $i]: (Y0)) = (^[Y0 : $i]: (f @ (f @ Y0))))),
% 0.20/0.37    introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 0.20/0.37  thf(f22,plain,(
% 0.20/0.37    ~spl0_2),
% 0.20/0.37    inference(avatar_split_clause,[],[f12,f18])).
% 0.20/0.37  thf(f18,plain,(
% 0.20/0.37    spl0_2 <=> (cB = $true)),
% 0.20/0.37    introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 0.20/0.37  thf(f12,plain,(
% 0.20/0.37    (cB != $true)),
% 0.20/0.37    inference(cnf_transformation,[],[f8])).
% 0.20/0.37  thf(f21,plain,(
% 0.20/0.37    ~spl0_1 | spl0_2),
% 0.20/0.37    inference(avatar_split_clause,[],[f11,f18,f14])).
% 0.20/0.37  thf(f11,plain,(
% 0.20/0.37    ((^[Y0 : $i]: (Y0)) != (^[Y0 : $i]: (f @ (f @ Y0)))) | (cB = $true)),
% 0.20/0.37    inference(cnf_transformation,[],[f8])).
% 0.20/0.37  % SZS output end Proof for theBenchmark
% 0.20/0.37  % (21459)------------------------------
% 0.20/0.37  % (21459)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.37  % (21459)Termination reason: Refutation
% 0.20/0.37  
% 0.20/0.37  % (21459)Memory used [KB]: 5500
% 0.20/0.37  % (21459)Time elapsed: 0.004 s
% 0.20/0.37  % (21459)Instructions burned: 2 (million)
% 0.20/0.37  % (21459)------------------------------
% 0.20/0.37  % (21459)------------------------------
% 0.20/0.37  % (21452)Success in time 0.004 s
% 0.20/0.37  % Vampire---4.8 exiting
%------------------------------------------------------------------------------