TSTP Solution File: SYO517^1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO517^1 : TPTP v8.2.0. Released v4.1.0.
% 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 : n026.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 09:05:37 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
% 0.03/0.12  % Problem    : SYO517^1 : TPTP v8.2.0. Released v4.1.0.
% 0.14/0.14  % 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
% 0.14/0.35  % Computer : n026.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon May 20 09:29:23 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  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/sandbox2/benchmark/theBenchmark.p
% 0.14/0.38  % (19932)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  % (19933)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  % (19934)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  % (19935)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.14/0.38  % (19938)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  % (19939)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  % (19935)Instruction limit reached!
% 0.14/0.38  % (19935)------------------------------
% 0.14/0.38  % (19935)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38  % (19935)Termination reason: Unknown
% 0.14/0.38  % (19935)Termination phase: Saturation
% 0.14/0.38  
% 0.14/0.38  % (19935)Memory used [KB]: 5500
% 0.14/0.38  % (19935)Time elapsed: 0.003 s
% 0.14/0.38  % (19935)Instructions burned: 2 (million)
% 0.14/0.38  % (19935)------------------------------
% 0.14/0.38  % (19935)------------------------------
% 0.14/0.38  % (19937)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  % (19936)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  % (19936)Instruction limit reached!
% 0.14/0.38  % (19936)------------------------------
% 0.14/0.38  % (19936)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38  % (19936)Termination reason: Unknown
% 0.14/0.38  % (19936)Termination phase: Saturation
% 0.14/0.38  
% 0.14/0.38  % (19936)Memory used [KB]: 895
% 0.14/0.38  % (19936)Time elapsed: 0.003 s
% 0.14/0.38  % (19939)Instruction limit reached!
% 0.14/0.38  % (19939)------------------------------
% 0.14/0.38  % (19939)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38  % (19936)Instructions burned: 2 (million)
% 0.14/0.38  % (19936)------------------------------
% 0.14/0.38  % (19936)------------------------------
% 0.14/0.38  % (19939)Termination reason: Unknown
% 0.14/0.38  % (19939)Termination phase: Saturation
% 0.14/0.38  
% 0.14/0.38  % (19939)Memory used [KB]: 5500
% 0.14/0.38  % (19939)Time elapsed: 0.004 s
% 0.14/0.38  % (19939)Instructions burned: 3 (million)
% 0.14/0.38  % (19939)------------------------------
% 0.14/0.38  % (19939)------------------------------
% 0.14/0.38  % (19934)First to succeed.
% 0.14/0.38  % (19933)Instruction limit reached!
% 0.14/0.38  % (19933)------------------------------
% 0.14/0.38  % (19933)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38  % (19933)Termination reason: Unknown
% 0.14/0.38  % (19933)Termination phase: Saturation
% 0.14/0.38  
% 0.14/0.38  % (19933)Memory used [KB]: 5500
% 0.14/0.38  % (19937)Refutation not found, incomplete strategy
% 0.14/0.38  % (19937)------------------------------
% 0.14/0.38  % (19937)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38  % (19933)Time elapsed: 0.006 s
% 0.14/0.38  % (19933)Instructions burned: 4 (million)
% 0.14/0.38  % (19933)------------------------------
% 0.14/0.38  % (19933)------------------------------
% 0.14/0.38  % (19937)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.38  
% 0.14/0.38  
% 0.14/0.38  % (19937)Memory used [KB]: 5500
% 0.14/0.38  % (19937)Time elapsed: 0.003 s
% 0.14/0.38  % (19937)Instructions burned: 1 (million)
% 0.14/0.38  % (19937)------------------------------
% 0.14/0.38  % (19937)------------------------------
% 0.14/0.38  % (19934)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_1, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
% 0.14/0.38  thf(func_def_4, type, sK0: (($i > $o) > $i) > $i > $o).
% 0.14/0.38  thf(func_def_5, type, sK1: (($i > $o) > $i) > $i).
% 0.14/0.38  thf(func_def_7, type, ph3: !>[X0: $tType]:(X0)).
% 0.14/0.38  thf(f29,plain,(
% 0.14/0.38    $false),
% 0.14/0.38    inference(trivial_inequality_removal,[],[f21])).
% 0.14/0.38  thf(f21,plain,(
% 0.14/0.38    ($false = $true)),
% 0.14/0.38    inference(superposition,[],[f19,f11])).
% 0.14/0.38  thf(f11,plain,(
% 0.14/0.38    ( ! [X0 : ($i > $o) > $i] : (((sK0 @ X0 @ (sK1 @ X0)) = $true)) )),
% 0.14/0.38    inference(cnf_transformation,[],[f9])).
% 0.14/0.38  thf(f9,plain,(
% 0.14/0.38    ! [X0 : ($i > $o) > $i] : (((sK0 @ X0 @ (X0 @ (sK0 @ X0))) != $true) & (((sK0 @ X0 @ (sK1 @ X0)) = $true) & ! [X3] : (((sK1 @ X0) = X3) | ((sK0 @ X0 @ X3) != $true))))),
% 0.14/0.38    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f6,f8,f7])).
% 0.14/0.38  thf(f7,plain,(
% 0.14/0.38    ! [X0 : ($i > $o) > $i] : (? [X1 : $i > $o] : (((X1 @ (X0 @ X1)) != $true) & ? [X2] : (((X1 @ X2) = $true) & ! [X3] : ((X2 = X3) | ((X1 @ X3) != $true)))) => (((sK0 @ X0 @ (X0 @ (sK0 @ X0))) != $true) & ? [X2] : (($true = (sK0 @ X0 @ X2)) & ! [X3] : ((X2 = X3) | ((sK0 @ X0 @ X3) != $true)))))),
% 0.14/0.38    introduced(choice_axiom,[])).
% 0.14/0.38  thf(f8,plain,(
% 0.14/0.38    ! [X0 : ($i > $o) > $i] : (? [X2] : (($true = (sK0 @ X0 @ X2)) & ! [X3] : ((X2 = X3) | ((sK0 @ X0 @ X3) != $true))) => (((sK0 @ X0 @ (sK1 @ X0)) = $true) & ! [X3] : (((sK1 @ X0) = X3) | ((sK0 @ X0 @ X3) != $true))))),
% 0.14/0.38    introduced(choice_axiom,[])).
% 0.14/0.38  thf(f6,plain,(
% 0.14/0.38    ! [X0 : ($i > $o) > $i] : ? [X1 : $i > $o] : (((X1 @ (X0 @ X1)) != $true) & ? [X2] : (((X1 @ X2) = $true) & ! [X3] : ((X2 = X3) | ((X1 @ X3) != $true))))),
% 0.14/0.38    inference(ennf_transformation,[],[f5])).
% 0.14/0.38  thf(f5,plain,(
% 0.14/0.38    ~? [X0 : ($i > $o) > $i] : ! [X1 : $i > $o] : (? [X2] : (((X1 @ X2) = $true) & ! [X3] : (((X1 @ X3) = $true) => (X2 = X3))) => ((X1 @ (X0 @ X1)) = $true))),
% 0.14/0.38    inference(fool_elimination,[],[f4])).
% 0.14/0.38  thf(f4,plain,(
% 0.14/0.38    ~? [X0 : ($i > $o) > $i] : ! [X1 : $i > $o] : (? [X2] : ((X1 @ X2) & ! [X3] : ((X1 @ X3) => (X2 = X3))) => (X1 @ (X0 @ X1)))),
% 0.14/0.38    inference(rectify,[],[f2])).
% 0.14/0.38  thf(f2,negated_conjecture,(
% 0.14/0.38    ~? [X0 : ($i > $o) > $i] : ! [X1 : $i > $o] : (? [X2] : ((X1 @ X2) & ! [X3] : ((X1 @ X3) => (X2 = X3))) => (X1 @ (X0 @ X1)))),
% 0.14/0.38    inference(negated_conjecture,[],[f1])).
% 0.14/0.38  thf(f1,conjecture,(
% 0.14/0.38    ? [X0 : ($i > $o) > $i] : ! [X1 : $i > $o] : (? [X2] : ((X1 @ X2) & ! [X3] : ((X1 @ X3) => (X2 = X3))) => (X1 @ (X0 @ X1)))),
% 0.14/0.38    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',descri)).
% 0.14/0.38  thf(f19,plain,(
% 0.14/0.38    ( ! [X0 : $i] : (($false = (sK0 @ @@+ @ $i @ X0))) )),
% 0.14/0.38    inference(trivial_inequality_removal,[],[f17])).
% 0.14/0.38  thf(f17,plain,(
% 0.14/0.38    ( ! [X0 : $i] : (($false = (sK0 @ @@+ @ $i @ X0)) | ($true != $true)) )),
% 0.14/0.38    inference(superposition,[],[f12,f14])).
% 0.14/0.38  thf(f14,plain,(
% 0.14/0.38    ( ! [X0 : ($i > $o) > $i,X1 : $i] : (((sK0 @ X0 @ (@@+ @ $i @ (sK0 @ X0))) = $true) | ((sK0 @ X0 @ X1) = $false)) )),
% 0.14/0.38    introduced(choice_axiom,[])).
% 0.14/0.38  thf(f12,plain,(
% 0.14/0.38    ( ! [X0 : ($i > $o) > $i] : (((sK0 @ X0 @ (X0 @ (sK0 @ X0))) != $true)) )),
% 0.14/0.38    inference(cnf_transformation,[],[f9])).
% 0.14/0.38  % SZS output end Proof for theBenchmark
% 0.14/0.38  % (19934)------------------------------
% 0.14/0.38  % (19934)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38  % (19934)Termination reason: Refutation
% 0.14/0.38  
% 0.14/0.38  % (19934)Memory used [KB]: 5500
% 0.14/0.38  % (19934)Time elapsed: 0.005 s
% 0.14/0.38  % (19934)Instructions burned: 3 (million)
% 0.14/0.38  % (19934)------------------------------
% 0.14/0.38  % (19934)------------------------------
% 0.14/0.38  % (19931)Success in time 0.016 s
% 0.14/0.38  % Vampire---4.8 exiting
%------------------------------------------------------------------------------