TSTP Solution File: SEU553^2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU553^2 : TPTP v8.2.0. Bugfixed 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 : n002.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 03:49:33 EDT 2024

% Result   : Theorem 0.14s 0.38s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SEU553^2 : TPTP v8.2.0. Bugfixed v4.0.0.
% 0.13/0.14  % 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
% 0.14/0.36  % Computer : n002.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sun May 19 17:46:23 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a TH0_THM_EQU_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
% 0.14/0.38  % (21145)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.14/0.38  % (21147)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)
% 0.14/0.38  % (21146)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)
% 0.14/0.38  % (21148)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.14/0.38  % (21149)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)
% 0.14/0.38  % (21150)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)
% 0.14/0.38  % (21151)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.14/0.38  % (21152)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)
% 0.14/0.38  % (21145)First to succeed.
% 0.14/0.38  % (21146)Also succeeded, but the first one will report.
% 0.14/0.38  % (21149)Instruction limit reached!
% 0.14/0.38  % (21149)------------------------------
% 0.14/0.38  % (21149)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38  % (21149)Termination reason: Unknown
% 0.14/0.38  % (21149)Termination phase: Saturation
% 0.14/0.38  
% 0.14/0.38  % (21149)Memory used [KB]: 5500
% 0.14/0.38  % (21149)Time elapsed: 0.004 s
% 0.14/0.38  % (21149)Instructions burned: 2 (million)
% 0.14/0.38  % (21149)------------------------------
% 0.14/0.38  % (21149)------------------------------
% 0.14/0.38  % (21147)Also succeeded, but the first one will report.
% 0.14/0.38  % (21145)Refutation found. Thanks to Tanya!
% 0.14/0.38  % SZS status Theorem for theBenchmark
% 0.14/0.38  % SZS output start Proof for theBenchmark
% 0.14/0.38  thf(func_def_0, type, powerset: $i > $i).
% 0.14/0.38  thf(f11,plain,(
% 0.14/0.38    $false),
% 0.14/0.38    inference(trivial_inequality_removal,[],[f10])).
% 0.14/0.38  thf(f10,plain,(
% 0.14/0.38    ((powerset @ sK0) != (powerset @ sK0))),
% 0.14/0.38    inference(definition_unfolding,[],[f8,f9])).
% 0.14/0.38  thf(f9,plain,(
% 0.14/0.38    (sK1 = sK0)),
% 0.14/0.38    inference(cnf_transformation,[],[f7])).
% 0.14/0.38  thf(f7,plain,(
% 0.14/0.38    (sK1 = sK0) & ((powerset @ sK1) != (powerset @ sK0))),
% 0.14/0.38    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f5,f6])).
% 0.14/0.38  thf(f6,plain,(
% 0.14/0.38    ? [X0,X1] : ((X0 = X1) & ((powerset @ X0) != (powerset @ X1))) => ((sK1 = sK0) & ((powerset @ sK1) != (powerset @ sK0)))),
% 0.14/0.38    introduced(choice_axiom,[])).
% 0.14/0.38  thf(f5,plain,(
% 0.14/0.38    ? [X0,X1] : ((X0 = X1) & ((powerset @ X0) != (powerset @ X1)))),
% 0.14/0.38    inference(ennf_transformation,[],[f4])).
% 0.14/0.38  thf(f4,plain,(
% 0.14/0.38    ~! [X1,X0] : ((X0 = X1) => ((powerset @ X0) = (powerset @ X1)))),
% 0.14/0.38    inference(rectify,[],[f2])).
% 0.14/0.38  thf(f2,negated_conjecture,(
% 0.14/0.38    ~! [X1,X0] : ((X0 = X1) => ((powerset @ X0) = (powerset @ X1)))),
% 0.14/0.38    inference(negated_conjecture,[],[f1])).
% 0.14/0.38  thf(f1,conjecture,(
% 0.14/0.38    ! [X1,X0] : ((X0 = X1) => ((powerset @ X0) = (powerset @ X1)))),
% 0.14/0.38    file('/export/starexec/sandbox/benchmark/theBenchmark.p',powerset__Cong)).
% 0.14/0.38  thf(f8,plain,(
% 0.14/0.38    ((powerset @ sK1) != (powerset @ sK0))),
% 0.14/0.38    inference(cnf_transformation,[],[f7])).
% 0.14/0.38  % SZS output end Proof for theBenchmark
% 0.14/0.38  % (21145)------------------------------
% 0.14/0.38  % (21145)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38  % (21145)Termination reason: Refutation
% 0.14/0.38  
% 0.14/0.38  % (21145)Memory used [KB]: 5373
% 0.14/0.38  % (21145)Time elapsed: 0.003 s
% 0.14/0.38  % (21145)Instructions burned: 1 (million)
% 0.14/0.38  % (21145)------------------------------
% 0.14/0.38  % (21145)------------------------------
% 0.14/0.38  % (21144)Success in time 0.005 s
% 0.14/0.38  % Vampire---4.8 exiting
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