TSTP Solution File: SYO308^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO308^5 : 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 : n015.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 09:03:54 EDT 2024

% Result   : Theorem 0.39s 0.57s
% Output   : Refutation 0.39s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SYO308^5 : TPTP v8.2.0. Released v4.0.0.
% 0.04/0.14  % 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
% 0.14/0.35  % Computer : n015.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 09:56:23 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a TH0_THM_NEQ_NAR problem
% 0.14/0.36  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
% 0.22/0.40  ipcrm: permission denied for id (1762066433)
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% 0.35/0.55  ipcrm: permission denied for id (1765834875)
% 0.35/0.55  ipcrm: permission denied for id (1761968252)
% 0.35/0.55  ipcrm: permission denied for id (1765867645)
% 0.35/0.55  ipcrm: permission denied for id (1765900414)
% 0.35/0.55  ipcrm: permission denied for id (1765933183)
% 0.39/0.57  % (16264)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2998ds/183Mi)
% 0.39/0.57  % (16268)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 (2998ds/2Mi)
% 0.39/0.57  % (16265)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 (2998ds/4Mi)
% 0.39/0.57  % (16269)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 (2998ds/275Mi)
% 0.39/0.57  % (16270)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2998ds/18Mi)
% 0.39/0.57  % (16267)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 0.39/0.57  % (16271)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.39/0.57  % (16266)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 (2998ds/27Mi)
% 0.39/0.57  % (16268)Instruction limit reached!
% 0.39/0.57  % (16268)------------------------------
% 0.39/0.57  % (16268)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.39/0.57  % (16268)Termination reason: Unknown
% 0.39/0.57  % (16268)Termination phase: Saturation
% 0.39/0.57  
% 0.39/0.57  % (16268)Memory used [KB]: 5373
% 0.39/0.57  % (16268)Time elapsed: 0.003 s
% 0.39/0.57  % (16268)Instructions burned: 2 (million)
% 0.39/0.57  % (16268)------------------------------
% 0.39/0.57  % (16268)------------------------------
% 0.39/0.57  % (16264)First to succeed.
% 0.39/0.57  % (16267)Also succeeded, but the first one will report.
% 0.39/0.57  % (16265)Also succeeded, but the first one will report.
% 0.39/0.57  % (16264)Refutation found. Thanks to Tanya!
% 0.39/0.57  % SZS status Theorem for theBenchmark
% 0.39/0.57  % SZS output start Proof for theBenchmark
% 0.39/0.57  thf(func_def_0, type, cB: $i > $o).
% 0.39/0.57  thf(func_def_1, type, cA: $i > $o).
% 0.39/0.57  thf(func_def_5, type, sK0: $i > $o).
% 0.39/0.57  thf(f31,plain,(
% 0.39/0.57    $false),
% 0.39/0.57    inference(avatar_sat_refutation,[],[f22,f26,f30])).
% 0.39/0.57  thf(f30,plain,(
% 0.39/0.57    ~spl2_1),
% 0.39/0.57    inference(avatar_contradiction_clause,[],[f29])).
% 0.39/0.57  thf(f29,plain,(
% 0.39/0.57    $false | ~spl2_1),
% 0.39/0.57    inference(subsumption_resolution,[],[f28,f14])).
% 0.39/0.57  thf(f14,plain,(
% 0.39/0.57    ((sK0 @ sK1) = $true)),
% 0.39/0.57    inference(cnf_transformation,[],[f11])).
% 0.39/0.57  thf(f11,plain,(
% 0.39/0.57    (! [X1] : (($true != (sK0 @ X1)) | ($true = (cB @ X1))) | ! [X2] : (((cA @ X2) = $true) | ((sK0 @ X2) != $true))) & (((sK0 @ sK1) = $true) & ((cB @ sK1) != $true) & ((cA @ sK1) != $true))),
% 0.39/0.57    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f8,f10,f9])).
% 0.39/0.57  thf(f9,plain,(
% 0.39/0.57    ? [X0 : $i > $o] : ((! [X1] : (((X0 @ X1) != $true) | ($true = (cB @ X1))) | ! [X2] : (((cA @ X2) = $true) | ((X0 @ X2) != $true))) & ? [X3] : (((X0 @ X3) = $true) & ((cB @ X3) != $true) & ((cA @ X3) != $true))) => ((! [X1] : (($true != (sK0 @ X1)) | ($true = (cB @ X1))) | ! [X2] : (((cA @ X2) = $true) | ((sK0 @ X2) != $true))) & ? [X3] : (((sK0 @ X3) = $true) & ((cB @ X3) != $true) & ((cA @ X3) != $true)))),
% 0.39/0.57    introduced(choice_axiom,[])).
% 0.39/0.57  thf(f10,plain,(
% 0.39/0.57    ? [X3] : (((sK0 @ X3) = $true) & ((cB @ X3) != $true) & ((cA @ X3) != $true)) => (((sK0 @ sK1) = $true) & ((cB @ sK1) != $true) & ((cA @ sK1) != $true))),
% 0.39/0.57    introduced(choice_axiom,[])).
% 0.39/0.57  thf(f8,plain,(
% 0.39/0.57    ? [X0 : $i > $o] : ((! [X1] : (((X0 @ X1) != $true) | ($true = (cB @ X1))) | ! [X2] : (((cA @ X2) = $true) | ((X0 @ X2) != $true))) & ? [X3] : (((X0 @ X3) = $true) & ((cB @ X3) != $true) & ((cA @ X3) != $true)))),
% 0.39/0.57    inference(rectify,[],[f7])).
% 0.39/0.57  thf(f7,plain,(
% 0.39/0.57    ? [X0 : $i > $o] : ((! [X2] : (((X0 @ X2) != $true) | ((cB @ X2) = $true)) | ! [X1] : (((cA @ X1) = $true) | ((X0 @ X1) != $true))) & ? [X3] : (((X0 @ X3) = $true) & ((cB @ X3) != $true) & ((cA @ X3) != $true)))),
% 0.39/0.57    inference(flattening,[],[f6])).
% 0.39/0.57  thf(f6,plain,(
% 0.39/0.57    ? [X0 : $i > $o] : (? [X3] : ((((cA @ X3) != $true) & ((cB @ X3) != $true)) & ((X0 @ X3) = $true)) & (! [X2] : (((X0 @ X2) != $true) | ((cB @ X2) = $true)) | ! [X1] : (((cA @ X1) = $true) | ((X0 @ X1) != $true))))),
% 0.39/0.57    inference(ennf_transformation,[],[f5])).
% 0.39/0.57  thf(f5,plain,(
% 0.39/0.57    ~! [X0 : $i > $o] : ((! [X1] : (((X0 @ X1) = $true) => ((cA @ X1) = $true)) | ! [X2] : (((X0 @ X2) = $true) => ((cB @ X2) = $true))) => ! [X3] : (((X0 @ X3) = $true) => (((cA @ X3) = $true) | ((cB @ X3) = $true))))),
% 0.39/0.57    inference(fool_elimination,[],[f4])).
% 0.39/0.57  thf(f4,plain,(
% 0.39/0.57    ~! [X0 : $i > $o] : ((! [X1] : ((X0 @ X1) => (cA @ X1)) | ! [X2] : ((X0 @ X2) => (cB @ X2))) => ! [X3] : ((X0 @ X3) => ((cB @ X3) | (cA @ X3))))),
% 0.39/0.57    inference(rectify,[],[f2])).
% 0.39/0.57  thf(f2,negated_conjecture,(
% 0.39/0.57    ~! [X0 : $i > $o] : ((! [X1] : ((X0 @ X1) => (cA @ X1)) | ! [X2] : ((X0 @ X2) => (cB @ X2))) => ! [X3] : ((X0 @ X3) => ((cB @ X3) | (cA @ X3))))),
% 0.39/0.57    inference(negated_conjecture,[],[f1])).
% 0.39/0.57  thf(f1,conjecture,(
% 0.39/0.57    ! [X0 : $i > $o] : ((! [X1] : ((X0 @ X1) => (cA @ X1)) | ! [X2] : ((X0 @ X2) => (cB @ X2))) => ! [X3] : ((X0 @ X3) => ((cB @ X3) | (cA @ X3))))),
% 0.39/0.57    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cSET81_pme)).
% 0.39/0.57  thf(f28,plain,(
% 0.39/0.57    ((sK0 @ sK1) != $true) | ~spl2_1),
% 0.39/0.57    inference(trivial_inequality_removal,[],[f27])).
% 0.39/0.57  thf(f27,plain,(
% 0.39/0.57    ((sK0 @ sK1) != $true) | ($true != $true) | ~spl2_1),
% 0.39/0.57    inference(superposition,[],[f13,f18])).
% 0.39/0.57  thf(f18,plain,(
% 0.39/0.57    ( ! [X1 : $i] : (($true = (cB @ X1)) | ($true != (sK0 @ X1))) ) | ~spl2_1),
% 0.39/0.57    inference(avatar_component_clause,[],[f17])).
% 0.39/0.57  thf(f17,plain,(
% 0.39/0.57    spl2_1 <=> ! [X1] : (($true != (sK0 @ X1)) | ($true = (cB @ X1)))),
% 0.39/0.57    introduced(avatar_definition,[new_symbols(naming,[spl2_1])])).
% 0.39/0.57  thf(f13,plain,(
% 0.39/0.57    ((cB @ sK1) != $true)),
% 0.39/0.57    inference(cnf_transformation,[],[f11])).
% 0.39/0.57  thf(f26,plain,(
% 0.39/0.57    ~spl2_2),
% 0.39/0.57    inference(avatar_contradiction_clause,[],[f25])).
% 0.39/0.57  thf(f25,plain,(
% 0.39/0.57    $false | ~spl2_2),
% 0.39/0.57    inference(subsumption_resolution,[],[f24,f14])).
% 0.39/0.57  thf(f24,plain,(
% 0.39/0.57    ((sK0 @ sK1) != $true) | ~spl2_2),
% 0.39/0.57    inference(trivial_inequality_removal,[],[f23])).
% 0.39/0.58  thf(f23,plain,(
% 0.39/0.58    ($true != $true) | ((sK0 @ sK1) != $true) | ~spl2_2),
% 0.39/0.58    inference(superposition,[],[f12,f21])).
% 0.39/0.58  thf(f21,plain,(
% 0.39/0.58    ( ! [X2 : $i] : (((cA @ X2) = $true) | ((sK0 @ X2) != $true)) ) | ~spl2_2),
% 0.39/0.58    inference(avatar_component_clause,[],[f20])).
% 0.39/0.58  thf(f20,plain,(
% 0.39/0.58    spl2_2 <=> ! [X2] : (((sK0 @ X2) != $true) | ((cA @ X2) = $true))),
% 0.39/0.58    introduced(avatar_definition,[new_symbols(naming,[spl2_2])])).
% 0.39/0.58  thf(f12,plain,(
% 0.39/0.58    ((cA @ sK1) != $true)),
% 0.39/0.58    inference(cnf_transformation,[],[f11])).
% 0.39/0.58  thf(f22,plain,(
% 0.39/0.58    spl2_1 | spl2_2),
% 0.39/0.58    inference(avatar_split_clause,[],[f15,f20,f17])).
% 0.39/0.58  thf(f15,plain,(
% 0.39/0.58    ( ! [X2 : $i,X1 : $i] : (($true != (sK0 @ X1)) | ((sK0 @ X2) != $true) | ($true = (cB @ X1)) | ((cA @ X2) = $true)) )),
% 0.39/0.58    inference(cnf_transformation,[],[f11])).
% 0.39/0.58  % SZS output end Proof for theBenchmark
% 0.39/0.58  % (16264)------------------------------
% 0.39/0.58  % (16264)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.39/0.58  % (16264)Termination reason: Refutation
% 0.39/0.58  
% 0.39/0.58  % (16264)Memory used [KB]: 5500
% 0.39/0.58  % (16264)Time elapsed: 0.005 s
% 0.39/0.58  % (16264)Instructions burned: 2 (million)
% 0.39/0.58  % (16264)------------------------------
% 0.39/0.58  % (16264)------------------------------
% 0.39/0.58  % (16123)Success in time 0.207 s
% 0.39/0.58  % Vampire---4.8 exiting
%------------------------------------------------------------------------------