TSTP Solution File: SEV176^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEV176^5 : TPTP v8.1.2. 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 : Sun May  5 09:41:37 EDT 2024

% Result   : Theorem 0.21s 0.39s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14  % Problem    : SEV176^5 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.16  % 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
% 0.15/0.37  % Computer : n023.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Fri May  3 12:09:38 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a TH0_THM_NEQ_NAR problem
% 0.21/0.37  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/tmp/tmp.oTpvItgCxq/Vampire---4.8_4115
% 0.21/0.39  % (4230)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (3000ds/18Mi)
% 0.21/0.39  % (4227)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.21/0.39  % (4229)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (3000ds/275Mi)
% 0.21/0.39  % (4228)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.21/0.39  % (4224)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 Vampire---4 for (3000ds/4Mi)
% 0.21/0.39  % (4226)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 Vampire---4 for (3000ds/27Mi)
% 0.21/0.39  % (4223)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (3000ds/183Mi)
% 0.21/0.39  % (4228)Refutation not found, incomplete strategy
% 0.21/0.39  % (4228)------------------------------
% 0.21/0.39  % (4228)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39  % (4228)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.39  
% 0.21/0.39  
% 0.21/0.39  % (4228)Memory used [KB]: 5500
% 0.21/0.39  % (4228)Time elapsed: 0.003 s
% 0.21/0.39  % (4228)Instructions burned: 1 (million)
% 0.21/0.39  % (4228)------------------------------
% 0.21/0.39  % (4228)------------------------------
% 0.21/0.39  % (4227)Instruction limit reached!
% 0.21/0.39  % (4227)------------------------------
% 0.21/0.39  % (4227)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39  % (4227)Termination reason: Unknown
% 0.21/0.39  % (4227)Termination phase: Saturation
% 0.21/0.39  
% 0.21/0.39  % (4227)Memory used [KB]: 5500
% 0.21/0.39  % (4227)Time elapsed: 0.004 s
% 0.21/0.39  % (4227)Instructions burned: 3 (million)
% 0.21/0.39  % (4227)------------------------------
% 0.21/0.39  % (4227)------------------------------
% 0.21/0.39  % (4229)First to succeed.
% 0.21/0.39  % (4231)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (3000ds/3Mi)
% 0.21/0.39  % (4224)Also succeeded, but the first one will report.
% 0.21/0.39  % (4229)Refutation found. Thanks to Tanya!
% 0.21/0.39  % SZS status Theorem for Vampire---4
% 0.21/0.39  % SZS output start Proof for Vampire---4
% 0.21/0.39  thf(func_def_0, type, cR: $i > $i > $o).
% 0.21/0.39  thf(func_def_5, type, sK1: $i > $i).
% 0.21/0.39  thf(f23,plain,(
% 0.21/0.39    $false),
% 0.21/0.39    inference(subsumption_resolution,[],[f22,f13])).
% 0.21/0.39  thf(f13,plain,(
% 0.21/0.39    ( ! [X3 : $i,X1 : $i] : (((cR @ X3 @ X1) != $true) | ((cR @ X1 @ sK0) != $true) | ((cR @ X1 @ X3) != $true)) )),
% 0.21/0.39    inference(cnf_transformation,[],[f12])).
% 0.21/0.39  thf(f12,plain,(
% 0.21/0.39    ! [X1] : ((((cR @ X1 @ sK0) = $true) | (($true = (cR @ X1 @ (sK1 @ X1))) & ((cR @ (sK1 @ X1) @ X1) = $true))) & (! [X3] : (((cR @ X1 @ X3) != $true) | ((cR @ X3 @ X1) != $true)) | ((cR @ X1 @ sK0) != $true)))),
% 0.21/0.39    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f9,f11,f10])).
% 0.21/0.39  thf(f10,plain,(
% 0.21/0.39    ? [X0] : ! [X1] : ((((cR @ X1 @ X0) = $true) | ? [X2] : (((cR @ X1 @ X2) = $true) & ((cR @ X2 @ X1) = $true))) & (! [X3] : (((cR @ X1 @ X3) != $true) | ((cR @ X3 @ X1) != $true)) | ((cR @ X1 @ X0) != $true))) => ! [X1] : ((((cR @ X1 @ sK0) = $true) | ? [X2] : (((cR @ X1 @ X2) = $true) & ((cR @ X2 @ X1) = $true))) & (! [X3] : (((cR @ X1 @ X3) != $true) | ((cR @ X3 @ X1) != $true)) | ((cR @ X1 @ sK0) != $true)))),
% 0.21/0.39    introduced(choice_axiom,[])).
% 0.21/0.39  thf(f11,plain,(
% 0.21/0.39    ! [X1] : (? [X2] : (((cR @ X1 @ X2) = $true) & ((cR @ X2 @ X1) = $true)) => (($true = (cR @ X1 @ (sK1 @ X1))) & ((cR @ (sK1 @ X1) @ X1) = $true)))),
% 0.21/0.39    introduced(choice_axiom,[])).
% 0.21/0.39  thf(f9,plain,(
% 0.21/0.39    ? [X0] : ! [X1] : ((((cR @ X1 @ X0) = $true) | ? [X2] : (((cR @ X1 @ X2) = $true) & ((cR @ X2 @ X1) = $true))) & (! [X3] : (((cR @ X1 @ X3) != $true) | ((cR @ X3 @ X1) != $true)) | ((cR @ X1 @ X0) != $true)))),
% 0.21/0.39    inference(rectify,[],[f8])).
% 0.21/0.39  thf(f8,plain,(
% 0.21/0.39    ? [X0] : ! [X1] : ((((cR @ X1 @ X0) = $true) | ? [X2] : (((cR @ X1 @ X2) = $true) & ((cR @ X2 @ X1) = $true))) & (! [X2] : (((cR @ X1 @ X2) != $true) | ((cR @ X2 @ X1) != $true)) | ((cR @ X1 @ X0) != $true)))),
% 0.21/0.39    inference(nnf_transformation,[],[f7])).
% 0.21/0.39  thf(f7,plain,(
% 0.21/0.39    ? [X0] : ! [X1] : (((cR @ X1 @ X0) = $true) <=> ! [X2] : (((cR @ X1 @ X2) != $true) | ((cR @ X2 @ X1) != $true)))),
% 0.21/0.39    inference(ennf_transformation,[],[f6])).
% 0.21/0.39  thf(f6,plain,(
% 0.21/0.39    ? [X0] : ! [X1] : (~? [X2] : (((cR @ X1 @ X2) = $true) & ((cR @ X2 @ X1) = $true)) <=> ((cR @ X1 @ X0) = $true))),
% 0.21/0.39    inference(flattening,[],[f5])).
% 0.21/0.39  thf(f5,plain,(
% 0.21/0.39    ~~? [X0] : ! [X1] : (~? [X2] : (((cR @ X1 @ X2) = $true) & ((cR @ X2 @ X1) = $true)) <=> ((cR @ X1 @ X0) = $true))),
% 0.21/0.39    inference(fool_elimination,[],[f4])).
% 0.21/0.39  thf(f4,plain,(
% 0.21/0.39    ~~? [X0] : ! [X1] : ((cR @ X1 @ X0) <=> ~? [X2] : ((cR @ X1 @ X2) & (cR @ X2 @ X1)))),
% 0.21/0.39    inference(rectify,[],[f2])).
% 0.21/0.39  thf(f2,negated_conjecture,(
% 0.21/0.39    ~~? [X0] : ! [X1] : ((cR @ X1 @ X0) <=> ~? [X2] : ((cR @ X1 @ X2) & (cR @ X2 @ X1)))),
% 0.21/0.39    inference(negated_conjecture,[],[f1])).
% 0.21/0.39  thf(f1,conjecture,(
% 0.21/0.39    ~? [X0] : ! [X1] : ((cR @ X1 @ X0) <=> ~? [X2] : ((cR @ X1 @ X2) & (cR @ X2 @ X1)))),
% 0.21/0.39    file('/export/starexec/sandbox2/tmp/tmp.oTpvItgCxq/Vampire---4.8_4115',cTHM25)).
% 0.21/0.39  thf(f22,plain,(
% 0.21/0.39    ($true = (cR @ sK0 @ sK0))),
% 0.21/0.39    inference(trivial_inequality_removal,[],[f21])).
% 0.21/0.39  thf(f21,plain,(
% 0.21/0.39    ($true != $true) | ($true = (cR @ sK0 @ sK0))),
% 0.21/0.39    inference(duplicate_literal_removal,[],[f20])).
% 0.21/0.39  thf(f20,plain,(
% 0.21/0.39    ($true = (cR @ sK0 @ sK0)) | ($true != $true) | ($true = (cR @ sK0 @ sK0))),
% 0.21/0.39    inference(superposition,[],[f19,f14])).
% 0.21/0.39  thf(f14,plain,(
% 0.21/0.39    ( ! [X1 : $i] : (((cR @ (sK1 @ X1) @ X1) = $true) | ((cR @ X1 @ sK0) = $true)) )),
% 0.21/0.39    inference(cnf_transformation,[],[f12])).
% 0.21/0.39  thf(f19,plain,(
% 0.21/0.39    ( ! [X0 : $i] : (((cR @ (sK1 @ X0) @ sK0) != $true) | ((cR @ X0 @ sK0) = $true)) )),
% 0.21/0.39    inference(subsumption_resolution,[],[f18,f14])).
% 0.21/0.39  thf(f18,plain,(
% 0.21/0.39    ( ! [X0 : $i] : (((cR @ (sK1 @ X0) @ sK0) != $true) | ((cR @ (sK1 @ X0) @ X0) != $true) | ((cR @ X0 @ sK0) = $true)) )),
% 0.21/0.39    inference(trivial_inequality_removal,[],[f17])).
% 0.21/0.39  thf(f17,plain,(
% 0.21/0.39    ( ! [X0 : $i] : (($true != $true) | ((cR @ (sK1 @ X0) @ sK0) != $true) | ((cR @ X0 @ sK0) = $true) | ((cR @ (sK1 @ X0) @ X0) != $true)) )),
% 0.21/0.39    inference(superposition,[],[f13,f15])).
% 0.21/0.39  thf(f15,plain,(
% 0.21/0.39    ( ! [X1 : $i] : (($true = (cR @ X1 @ (sK1 @ X1))) | ((cR @ X1 @ sK0) = $true)) )),
% 0.21/0.39    inference(cnf_transformation,[],[f12])).
% 0.21/0.39  % SZS output end Proof for Vampire---4
% 0.21/0.39  % (4229)------------------------------
% 0.21/0.39  % (4229)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39  % (4229)Termination reason: Refutation
% 0.21/0.39  
% 0.21/0.39  % (4229)Memory used [KB]: 5500
% 0.21/0.39  % (4229)Time elapsed: 0.004 s
% 0.21/0.39  % (4229)Instructions burned: 1 (million)
% 0.21/0.39  % (4229)------------------------------
% 0.21/0.39  % (4229)------------------------------
% 0.21/0.39  % (4222)Success in time 0.007 s
% 0.21/0.39  % Vampire---4.8 exiting
%------------------------------------------------------------------------------