TSTP Solution File: SYO004^1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO004^1 : TPTP v8.2.0. Released v3.7.0.
% 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 : n022.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 09:02:11 EDT 2024

% Result   : Theorem 0.15s 0.38s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYO004^1 : TPTP v8.2.0. Released v3.7.0.
% 0.07/0.14  % 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
% 0.15/0.35  % Computer : n022.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Mon May 20 11:03:08 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a TH0_THM_EQU_NAR problem
% 0.15/0.35  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/sandbox/benchmark/theBenchmark.p
% 0.15/0.37  % (18017)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.15/0.37  % (18018)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)
% 0.15/0.37  % (18021)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)
% 0.15/0.37  % (18019)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)
% 0.15/0.37  % (18020)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.15/0.37  % (18022)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)
% 0.15/0.37  % (18023)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.15/0.37  % (18024)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)
% 0.15/0.37  % (18021)Instruction limit reached!
% 0.15/0.37  % (18021)------------------------------
% 0.15/0.37  % (18021)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.37  % (18021)Termination reason: Unknown
% 0.15/0.37  % (18021)Termination phase: Saturation
% 0.15/0.37  
% 0.15/0.37  % (18021)Memory used [KB]: 895
% 0.15/0.37  % (18021)Time elapsed: 0.003 s
% 0.15/0.37  % (18021)Instructions burned: 2 (million)
% 0.15/0.37  % (18021)------------------------------
% 0.15/0.37  % (18021)------------------------------
% 0.15/0.37  % (18022)Refutation not found, incomplete strategy
% 0.15/0.37  % (18022)------------------------------
% 0.15/0.37  % (18022)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.37  % (18022)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.37  
% 0.15/0.37  
% 0.15/0.37  % (18022)Memory used [KB]: 5500
% 0.15/0.37  % (18020)Instruction limit reached!
% 0.15/0.37  % (18020)------------------------------
% 0.15/0.37  % (18020)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.37  % (18022)Time elapsed: 0.003 s
% 0.15/0.37  % (18022)Instructions burned: 1 (million)
% 0.15/0.37  % (18022)------------------------------
% 0.15/0.37  % (18022)------------------------------
% 0.15/0.37  % (18020)Termination reason: Unknown
% 0.15/0.37  % (18019)Refutation not found, incomplete strategy
% 0.15/0.37  % (18019)------------------------------
% 0.15/0.37  % (18019)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.37  % (18019)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.37  
% 0.15/0.37  
% 0.15/0.37  % (18019)Memory used [KB]: 5500
% 0.15/0.37  % (18019)Time elapsed: 0.004 s
% 0.15/0.37  % (18019)Instructions burned: 2 (million)
% 0.15/0.37  % (18019)------------------------------
% 0.15/0.37  % (18019)------------------------------
% 0.15/0.37  % (18020)Termination phase: Saturation
% 0.15/0.37  
% 0.15/0.37  % (18020)Memory used [KB]: 5500
% 0.15/0.37  % (18020)Time elapsed: 0.004 s
% 0.15/0.37  % (18020)Instructions burned: 2 (million)
% 0.15/0.37  % (18020)------------------------------
% 0.15/0.37  % (18020)------------------------------
% 0.15/0.37  % (18017)First to succeed.
% 0.15/0.37  % (18024)Refutation not found, incomplete strategy
% 0.15/0.37  % (18024)------------------------------
% 0.15/0.37  % (18024)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.37  % (18024)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.37  
% 0.15/0.37  
% 0.15/0.37  % (18024)Memory used [KB]: 5500
% 0.15/0.37  % (18024)Time elapsed: 0.003 s
% 0.15/0.37  % (18024)Instructions burned: 1 (million)
% 0.15/0.37  % (18024)------------------------------
% 0.15/0.37  % (18024)------------------------------
% 0.15/0.38  % (18023)Also succeeded, but the first one will report.
% 0.15/0.38  % (18017)Refutation found. Thanks to Tanya!
% 0.15/0.38  % SZS status Theorem for theBenchmark
% 0.15/0.38  % SZS output start Proof for theBenchmark
% 0.15/0.38  thf(func_def_0, type, leibeq: $i > $i > $o).
% 0.15/0.38  thf(func_def_14, type, ph3: !>[X0: $tType]:(X0)).
% 0.15/0.38  thf(f37,plain,(
% 0.15/0.38    $false),
% 0.15/0.38    inference(subsumption_resolution,[],[f21,f14])).
% 0.15/0.38  thf(f14,plain,(
% 0.15/0.38    (sK0 != sK1)),
% 0.15/0.38    inference(cnf_transformation,[],[f11])).
% 0.15/0.38  thf(f11,plain,(
% 0.15/0.38    (sK0 != sK1) & ((leibeq @ sK0 @ sK1) = $true)),
% 0.15/0.38    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f9,f10])).
% 0.15/0.38  thf(f10,plain,(
% 0.15/0.38    ? [X0,X1] : ((X0 != X1) & ((leibeq @ X0 @ X1) = $true)) => ((sK0 != sK1) & ((leibeq @ sK0 @ sK1) = $true))),
% 0.15/0.38    introduced(choice_axiom,[])).
% 0.15/0.38  thf(f9,plain,(
% 0.15/0.38    ? [X0,X1] : ((X0 != X1) & ((leibeq @ X0 @ X1) = $true))),
% 0.15/0.38    inference(ennf_transformation,[],[f8])).
% 0.15/0.38  thf(f8,plain,(
% 0.15/0.38    ~! [X0,X1] : (((leibeq @ X0 @ X1) = $true) => (X0 = X1))),
% 0.15/0.38    inference(fool_elimination,[],[f7])).
% 0.15/0.38  thf(f7,plain,(
% 0.15/0.38    ~! [X0,X1] : ((leibeq @ X0 @ X1) => (X0 = X1))),
% 0.15/0.38    inference(rectify,[],[f3])).
% 0.15/0.38  thf(f3,negated_conjecture,(
% 0.15/0.38    ~! [X0,X1] : ((leibeq @ X0 @ X1) => (X0 = X1))),
% 0.15/0.38    inference(negated_conjecture,[],[f2])).
% 0.15/0.38  thf(f2,conjecture,(
% 0.15/0.38    ! [X0,X1] : ((leibeq @ X0 @ X1) => (X0 = X1))),
% 0.15/0.38    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj)).
% 0.15/0.38  thf(f21,plain,(
% 0.15/0.38    (sK0 = sK1)),
% 0.15/0.38    inference(leibniz_equality_elimination,[],[f19])).
% 0.15/0.38  thf(f19,plain,(
% 0.15/0.38    ( ! [X1 : $i > $o] : (($false = (X1 @ sK0)) | ((X1 @ sK1) = $true)) )),
% 0.15/0.38    inference(binary_proxy_clausification,[],[f18])).
% 0.15/0.38  thf(f18,plain,(
% 0.15/0.38    ( ! [X1 : $i > $o] : ((((X1 @ sK0) => (X1 @ sK1)) = $true)) )),
% 0.15/0.38    inference(beta_eta_normalization,[],[f17])).
% 0.15/0.38  thf(f17,plain,(
% 0.15/0.38    ( ! [X1 : $i > $o] : ((((^[Y0 : $i > $o]: ((Y0 @ sK0) => (Y0 @ sK1))) @ X1) = $true)) )),
% 0.15/0.38    inference(pi_clausification,[],[f16])).
% 0.15/0.38  thf(f16,plain,(
% 0.15/0.38    ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((Y0 @ sK0) => (Y0 @ sK1)))) = $true)),
% 0.15/0.38    inference(beta_eta_normalization,[],[f15])).
% 0.15/0.38  thf(f15,plain,(
% 0.15/0.38    (((^[Y0 : $i]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y0) => (Y2 @ Y1))))))) @ sK0 @ sK1) = $true)),
% 0.15/0.38    inference(definition_unfolding,[],[f13,f12])).
% 0.15/0.38  thf(f12,plain,(
% 0.15/0.38    (leibeq = (^[Y0 : $i]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y0) => (Y2 @ Y1))))))))),
% 0.15/0.38    inference(cnf_transformation,[],[f6])).
% 0.15/0.38  thf(f6,plain,(
% 0.15/0.38    (leibeq = (^[Y0 : $i]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y0) => (Y2 @ Y1))))))))),
% 0.15/0.38    inference(fool_elimination,[],[f5])).
% 0.15/0.38  thf(f5,plain,(
% 0.15/0.38    ((^[X0 : $i, X1 : $i] : (! [X2 : $i > $o] : ((X2 @ X0) => (X2 @ X1)))) = leibeq)),
% 0.15/0.38    inference(rectify,[],[f1])).
% 0.15/0.38  thf(f1,axiom,(
% 0.15/0.38    ((^[X0 : $i, X1 : $i] : (! [X2 : $i > $o] : ((X2 @ X0) => (X2 @ X1)))) = leibeq)),
% 0.15/0.38    file('/export/starexec/sandbox/benchmark/theBenchmark.p',leibeq)).
% 0.15/0.38  thf(f13,plain,(
% 0.15/0.38    ((leibeq @ sK0 @ sK1) = $true)),
% 0.15/0.38    inference(cnf_transformation,[],[f11])).
% 0.15/0.38  % SZS output end Proof for theBenchmark
% 0.15/0.38  % (18017)------------------------------
% 0.15/0.38  % (18017)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38  % (18017)Termination reason: Refutation
% 0.15/0.38  
% 0.15/0.38  % (18017)Memory used [KB]: 5500
% 0.15/0.38  % (18017)Time elapsed: 0.005 s
% 0.15/0.38  % (18017)Instructions burned: 2 (million)
% 0.15/0.38  % (18017)------------------------------
% 0.15/0.38  % (18017)------------------------------
% 0.15/0.38  % (18016)Success in time 0.003 s
% 0.15/0.38  % Vampire---4.8 exiting
%------------------------------------------------------------------------------