TSTP Solution File: SYO306^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO306^5 : 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 : n012.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 0.14s 0.39s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYO306^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.14  % 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
% 0.14/0.37  % Computer : n012.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit   : 300
% 0.14/0.37  % WCLimit    : 300
% 0.14/0.37  % DateTime   : Mon May 20 09:20:23 EDT 2024
% 0.14/0.37  % CPUTime    : 
% 0.14/0.37  This is a TH0_THM_NEQ_NAR problem
% 0.14/0.37  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/benchmark/theBenchmark.p
% 0.14/0.39  % (12391)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.14/0.39  % (12393)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)
% 0.14/0.39  % (12392)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)
% 0.14/0.39  % (12394)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.14/0.39  % (12396)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)
% 0.14/0.39  % (12397)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.14/0.39  % (12395)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)
% 0.14/0.39  % (12394)Instruction limit reached!
% 0.14/0.39  % (12394)------------------------------
% 0.14/0.39  % (12394)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39  % (12394)Termination reason: Unknown
% 0.14/0.39  % (12394)Termination phase: Saturation
% 0.14/0.39  % (12395)Instruction limit reached!
% 0.14/0.39  % (12395)------------------------------
% 0.14/0.39  % (12395)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39  % (12395)Termination reason: Unknown
% 0.14/0.39  % (12395)Termination phase: Saturation
% 0.14/0.39  
% 0.14/0.39  % (12395)Memory used [KB]: 5373
% 0.14/0.39  % (12395)Time elapsed: 0.003 s
% 0.14/0.39  % (12395)Instructions burned: 2 (million)
% 0.14/0.39  % (12395)------------------------------
% 0.14/0.39  % (12395)------------------------------
% 0.14/0.39  
% 0.14/0.39  % (12394)Memory used [KB]: 5500
% 0.14/0.39  % (12394)Time elapsed: 0.003 s
% 0.14/0.39  % (12394)Instructions burned: 2 (million)
% 0.14/0.39  % (12394)------------------------------
% 0.14/0.39  % (12394)------------------------------
% 0.14/0.39  % (12391)First to succeed.
% 0.14/0.39  % (12397)Also succeeded, but the first one will report.
% 0.14/0.39  % (12391)Refutation found. Thanks to Tanya!
% 0.14/0.39  % SZS status Theorem for theBenchmark
% 0.14/0.39  % SZS output start Proof for theBenchmark
% 0.14/0.39  thf(func_def_0, type, cT: $i > $o).
% 0.14/0.39  thf(func_def_1, type, cS: $i > $o).
% 0.14/0.39  thf(func_def_5, type, sK0: ($i > $o) > $i).
% 0.14/0.39  thf(f18,plain,(
% 0.14/0.39    $false),
% 0.14/0.39    inference(trivial_inequality_removal,[],[f17])).
% 0.14/0.39  thf(f17,plain,(
% 0.14/0.39    ($true != $true)),
% 0.14/0.39    inference(superposition,[],[f16,f14])).
% 0.14/0.39  thf(f14,plain,(
% 0.14/0.39    ( ! [X3 : $i] : (($true = (cS @ X3))) )),
% 0.14/0.39    inference(cnf_transformation,[],[f11])).
% 0.14/0.39  thf(f11,plain,(
% 0.14/0.39    ! [X0 : $i > $o] : (! [X1] : ((X0 @ X1) = $true) | ((X0 @ (sK0 @ X0)) != $true)) & ! [X3] : (($true = (cS @ X3)) & ($true = (cT @ X3))) & (((cT @ sK1) != $true) | ((cS @ sK1) != $true))),
% 0.14/0.39    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f8,f10,f9])).
% 0.14/0.39  thf(f9,plain,(
% 0.14/0.39    ! [X0 : $i > $o] : (? [X2] : ((X0 @ X2) != $true) => ((X0 @ (sK0 @ X0)) != $true))),
% 0.14/0.39    introduced(choice_axiom,[])).
% 0.14/0.39  thf(f10,plain,(
% 0.14/0.39    ? [X4] : (($true != (cT @ X4)) | ((cS @ X4) != $true)) => (((cT @ sK1) != $true) | ((cS @ sK1) != $true))),
% 0.14/0.39    introduced(choice_axiom,[])).
% 0.14/0.39  thf(f8,plain,(
% 0.14/0.39    ! [X0 : $i > $o] : (! [X1] : ((X0 @ X1) = $true) | ? [X2] : ((X0 @ X2) != $true)) & ! [X3] : (($true = (cS @ X3)) & ($true = (cT @ X3))) & ? [X4] : (($true != (cT @ X4)) | ((cS @ X4) != $true))),
% 0.14/0.39    inference(rectify,[],[f7])).
% 0.14/0.39  thf(f7,plain,(
% 0.14/0.39    ! [X0 : $i > $o] : (! [X2] : ((X0 @ X2) = $true) | ? [X1] : ((X0 @ X1) != $true)) & ! [X3] : (($true = (cS @ X3)) & ($true = (cT @ X3))) & ? [X4] : (($true != (cT @ X4)) | ((cS @ X4) != $true))),
% 0.14/0.39    inference(flattening,[],[f6])).
% 0.14/0.39  thf(f6,plain,(
% 0.14/0.39    (? [X4] : (($true != (cT @ X4)) | ((cS @ X4) != $true)) & ! [X3] : (($true = (cS @ X3)) & ($true = (cT @ X3)))) & ! [X0 : $i > $o] : (! [X2] : ((X0 @ X2) = $true) | ? [X1] : ((X0 @ X1) != $true))),
% 0.14/0.39    inference(ennf_transformation,[],[f5])).
% 0.14/0.39  thf(f5,plain,(
% 0.14/0.39    ~(! [X0 : $i > $o] : (! [X1] : ((X0 @ X1) = $true) => ! [X2] : ((X0 @ X2) = $true)) => (! [X3] : (($true = (cS @ X3)) & ($true = (cT @ X3))) => ! [X4] : (((cS @ X4) = $true) & ($true = (cT @ X4)))))),
% 0.14/0.39    inference(fool_elimination,[],[f4])).
% 0.14/0.39  thf(f4,plain,(
% 0.14/0.39    ~(! [X0 : $i > $o] : (! [X1] : (X0 @ X1) => ! [X2] : (X0 @ X2)) => (! [X3] : ((cS @ X3) & (cT @ X3)) => ! [X4] : ((cS @ X4) & (cT @ X4))))),
% 0.14/0.39    inference(rectify,[],[f2])).
% 0.14/0.39  thf(f2,negated_conjecture,(
% 0.14/0.39    ~(! [X0 : $i > $o] : (! [X1] : (X0 @ X1) => ! [X1] : (X0 @ X1)) => (! [X1] : ((cS @ X1) & (cT @ X1)) => ! [X1] : ((cS @ X1) & (cT @ X1))))),
% 0.14/0.39    inference(negated_conjecture,[],[f1])).
% 0.14/0.39  thf(f1,conjecture,(
% 0.14/0.39    ! [X0 : $i > $o] : (! [X1] : (X0 @ X1) => ! [X1] : (X0 @ X1)) => (! [X1] : ((cS @ X1) & (cT @ X1)) => ! [X1] : ((cS @ X1) & (cT @ X1)))),
% 0.14/0.39    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cDUP_BUG_2)).
% 0.14/0.39  thf(f16,plain,(
% 0.14/0.39    ((cS @ sK1) != $true)),
% 0.14/0.39    inference(subsumption_resolution,[],[f12,f13])).
% 0.14/0.39  thf(f13,plain,(
% 0.14/0.39    ( ! [X3 : $i] : (($true = (cT @ X3))) )),
% 0.14/0.39    inference(cnf_transformation,[],[f11])).
% 0.14/0.39  thf(f12,plain,(
% 0.14/0.39    ((cS @ sK1) != $true) | ((cT @ sK1) != $true)),
% 0.14/0.39    inference(cnf_transformation,[],[f11])).
% 0.14/0.39  % SZS output end Proof for theBenchmark
% 0.14/0.39  % (12391)------------------------------
% 0.14/0.39  % (12391)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39  % (12391)Termination reason: Refutation
% 0.14/0.39  
% 0.14/0.39  % (12391)Memory used [KB]: 5500
% 0.14/0.39  % (12391)Time elapsed: 0.004 s
% 0.14/0.39  % (12391)Instructions burned: 1 (million)
% 0.14/0.39  % (12391)------------------------------
% 0.14/0.39  % (12391)------------------------------
% 0.14/0.39  % (12390)Success in time 0.005 s
% 0.14/0.39  % Vampire---4.8 exiting
%------------------------------------------------------------------------------