TSTP Solution File: SYO237^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO237^5 : 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 : 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 09:03:36 EDT 2024

% Result   : Theorem 0.12s 0.37s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SYO237^5 : TPTP v8.2.0. Released v4.0.0.
% 0.10/0.13  % 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
% 0.12/0.34  % Computer : n022.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon May 20 09:03:07 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.34  This is a TH0_THM_EQU_NAR problem
% 0.12/0.34  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
% 0.12/0.36  % (11457)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.12/0.36  % (11458)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)
% 0.12/0.36  % (11455)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)
% 0.12/0.36  % (11456)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)
% 0.12/0.36  % (11451)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.12/0.36  % (11452)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)
% 0.12/0.36  % (11453)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)
% 0.12/0.36  % (11454)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.12/0.36  % (11456)Refutation not found, incomplete strategy
% 0.12/0.36  % (11456)------------------------------
% 0.12/0.36  % (11456)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36  % (11451)First to succeed.
% 0.12/0.36  % (11454)Refutation not found, incomplete strategy
% 0.12/0.36  % (11454)------------------------------
% 0.12/0.36  % (11454)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36  % (11456)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.36  
% 0.12/0.36  
% 0.12/0.36  % (11456)Memory used [KB]: 5500
% 0.12/0.36  % (11456)Time elapsed: 0.003 s
% 0.12/0.36  % (11456)Instructions burned: 1 (million)
% 0.12/0.36  % (11456)------------------------------
% 0.12/0.36  % (11456)------------------------------
% 0.12/0.36  % (11453)Refutation not found, incomplete strategy
% 0.12/0.36  % (11453)------------------------------
% 0.12/0.36  % (11453)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36  % (11453)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.36  
% 0.12/0.36  
% 0.12/0.36  % (11453)Memory used [KB]: 5500
% 0.12/0.36  % (11453)Time elapsed: 0.003 s
% 0.12/0.36  % (11453)Instructions burned: 1 (million)
% 0.12/0.36  % (11453)------------------------------
% 0.12/0.36  % (11453)------------------------------
% 0.12/0.36  % (11454)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.36  
% 0.12/0.36  
% 0.12/0.36  % (11454)Memory used [KB]: 5500
% 0.12/0.36  % (11454)Time elapsed: 0.003 s
% 0.12/0.36  % (11454)Instructions burned: 1 (million)
% 0.12/0.36  % (11454)------------------------------
% 0.12/0.36  % (11454)------------------------------
% 0.12/0.36  % (11452)Refutation not found, incomplete strategy
% 0.12/0.36  % (11452)------------------------------
% 0.12/0.36  % (11452)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36  % (11452)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.36  
% 0.12/0.36  
% 0.12/0.36  % (11452)Memory used [KB]: 5500
% 0.12/0.36  % (11452)Time elapsed: 0.004 s
% 0.12/0.36  % (11452)Instructions burned: 2 (million)
% 0.12/0.36  % (11452)------------------------------
% 0.12/0.36  % (11452)------------------------------
% 0.12/0.36  % (11455)Instruction limit reached!
% 0.12/0.36  % (11455)------------------------------
% 0.12/0.36  % (11455)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36  % (11455)Termination reason: Unknown
% 0.12/0.36  % (11455)Termination phase: Saturation
% 0.12/0.36  
% 0.12/0.36  % (11455)Memory used [KB]: 5500
% 0.12/0.36  % (11455)Time elapsed: 0.004 s
% 0.12/0.36  % (11455)Instructions burned: 3 (million)
% 0.12/0.36  % (11455)------------------------------
% 0.12/0.36  % (11455)------------------------------
% 0.12/0.36  % (11458)Also succeeded, but the first one will report.
% 0.12/0.36  % (11457)Also succeeded, but the first one will report.
% 0.12/0.37  % (11451)Refutation found. Thanks to Tanya!
% 0.12/0.37  % SZS status Theorem for theBenchmark
% 0.12/0.37  % SZS output start Proof for theBenchmark
% 0.12/0.37  thf(func_def_0, type, g: $i > $i).
% 0.12/0.37  thf(func_def_1, type, p: ($i > $i) > $o).
% 0.12/0.37  thf(func_def_3, type, q: $i > $o).
% 0.12/0.37  thf(func_def_4, type, f: $i > $i).
% 0.12/0.37  thf(func_def_11, type, ph1: !>[X0: $tType]:(X0)).
% 0.12/0.37  thf(f17,plain,(
% 0.12/0.37    $false),
% 0.12/0.37    inference(subsumption_resolution,[],[f16,f8])).
% 0.12/0.37  thf(f8,plain,(
% 0.12/0.37    ( ! [X0 : $i] : (((f @ X0) = (g @ X0))) )),
% 0.12/0.37    inference(cnf_transformation,[],[f7])).
% 0.12/0.37  thf(f7,plain,(
% 0.12/0.37    ($true != (p @ (^[Y0 : $i]: (g @ Y0)))) & ((p @ (^[Y0 : $i]: (f @ Y0))) = $true) & ((q @ x) = $true) & ! [X0] : ((f @ X0) = (g @ X0))),
% 0.12/0.37    inference(flattening,[],[f6])).
% 0.12/0.37  thf(f6,plain,(
% 0.12/0.37    ((($true != (p @ (^[Y0 : $i]: (g @ Y0)))) & ((q @ x) = $true)) & ((p @ (^[Y0 : $i]: (f @ Y0))) = $true)) & ! [X0] : ((f @ X0) = (g @ X0))),
% 0.12/0.37    inference(ennf_transformation,[],[f5])).
% 0.12/0.37  thf(f5,plain,(
% 0.12/0.37    ~(! [X0] : ((f @ X0) = (g @ X0)) => (((p @ (^[Y0 : $i]: (f @ Y0))) = $true) => (((q @ x) = $true) => ($true = (p @ (^[Y0 : $i]: (g @ Y0)))))))),
% 0.12/0.37    inference(fool_elimination,[],[f4])).
% 0.12/0.37  thf(f4,plain,(
% 0.12/0.37    ~(! [X0] : ((f @ X0) = (g @ X0)) => ((p @ (^[X1 : $i] : (f @ X1))) => ((q @ x) => (p @ (^[X2 : $i] : (g @ X2))))))),
% 0.12/0.37    inference(rectify,[],[f2])).
% 0.12/0.37  thf(f2,negated_conjecture,(
% 0.12/0.37    ~(! [X0] : ((f @ X0) = (g @ X0)) => ((p @ (^[X0 : $i] : (f @ X0))) => ((q @ x) => (p @ (^[X0 : $i] : (g @ X0))))))),
% 0.12/0.37    inference(negated_conjecture,[],[f1])).
% 0.12/0.37  thf(f1,conjecture,(
% 0.12/0.37    ! [X0] : ((f @ X0) = (g @ X0)) => ((p @ (^[X0 : $i] : (f @ X0))) => ((q @ x) => (p @ (^[X0 : $i] : (g @ X0)))))),
% 0.12/0.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM508)).
% 0.12/0.37  thf(f16,plain,(
% 0.12/0.37    ((g @ sK2) != (f @ sK2))),
% 0.12/0.37    inference(negative_extensionality,[],[f15])).
% 0.12/0.37  thf(f15,plain,(
% 0.12/0.37    (f != g)),
% 0.12/0.37    inference(trivial_inequality_removal,[],[f14])).
% 0.12/0.37  thf(f14,plain,(
% 0.12/0.37    (f != g) | ($true != $true)),
% 0.12/0.37    inference(constrained_superposition,[],[f12,f13])).
% 0.12/0.37  thf(f13,plain,(
% 0.12/0.37    ($true = (p @ f))),
% 0.12/0.37    inference(beta_eta_normalization,[],[f10])).
% 0.12/0.37  thf(f10,plain,(
% 0.12/0.37    ((p @ (^[Y0 : $i]: (f @ Y0))) = $true)),
% 0.12/0.37    inference(cnf_transformation,[],[f7])).
% 0.12/0.37  thf(f12,plain,(
% 0.12/0.37    ($true != (p @ g))),
% 0.12/0.37    inference(beta_eta_normalization,[],[f11])).
% 0.12/0.37  thf(f11,plain,(
% 0.12/0.37    ($true != (p @ (^[Y0 : $i]: (g @ Y0))))),
% 0.12/0.37    inference(cnf_transformation,[],[f7])).
% 0.12/0.37  % SZS output end Proof for theBenchmark
% 0.12/0.37  % (11451)------------------------------
% 0.12/0.37  % (11451)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.37  % (11451)Termination reason: Refutation
% 0.12/0.37  
% 0.12/0.37  % (11451)Memory used [KB]: 5500
% 0.12/0.37  % (11451)Time elapsed: 0.004 s
% 0.12/0.37  % (11451)Instructions burned: 1 (million)
% 0.12/0.37  % (11451)------------------------------
% 0.12/0.37  % (11451)------------------------------
% 0.12/0.37  % (11450)Success in time 0.007 s
% 0.12/0.37  % Vampire---4.8 exiting
%------------------------------------------------------------------------------