TSTP Solution File: SYO171^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO171^5 : 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 : n019.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 09:03:20 EDT 2024

% Result   : Theorem 0.13s 0.38s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYO171^5 : TPTP v8.2.0. Released 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
% 0.13/0.35  % Computer : n019.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon May 20 10:10:22 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a TH0_THM_NEQ_NAR problem
% 0.13/0.36  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
% 0.13/0.37  % (21045)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.13/0.37  % (21038)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.13/0.37  % (21039)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 (2999ds/4Mi)
% 0.13/0.37  % (21040)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 (2999ds/27Mi)
% 0.13/0.37  % (21042)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 (2999ds/2Mi)
% 0.13/0.37  % (21041)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.37  % (21043)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 (2999ds/275Mi)
% 0.13/0.37  % (21044)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.13/0.37  % (21041)Instruction limit reached!
% 0.13/0.37  % (21041)------------------------------
% 0.13/0.37  % (21041)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (21041)Termination reason: Unknown
% 0.13/0.37  % (21041)Termination phase: Saturation
% 0.13/0.37  
% 0.13/0.37  % (21041)Memory used [KB]: 895
% 0.13/0.37  % (21041)Time elapsed: 0.003 s
% 0.13/0.37  % (21041)Instructions burned: 2 (million)
% 0.13/0.37  % (21041)------------------------------
% 0.13/0.37  % (21041)------------------------------
% 0.13/0.37  % (21042)Instruction limit reached!
% 0.13/0.37  % (21042)------------------------------
% 0.13/0.37  % (21042)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (21042)Termination reason: Unknown
% 0.13/0.37  % (21042)Termination phase: Property scanning
% 0.13/0.37  
% 0.13/0.37  % (21042)Memory used [KB]: 895
% 0.13/0.37  % (21042)Time elapsed: 0.003 s
% 0.13/0.37  % (21042)Instructions burned: 2 (million)
% 0.13/0.37  % (21042)------------------------------
% 0.13/0.37  % (21042)------------------------------
% 0.13/0.37  % (21045)Instruction limit reached!
% 0.13/0.37  % (21045)------------------------------
% 0.13/0.37  % (21045)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (21045)Termination reason: Unknown
% 0.13/0.37  % (21045)Termination phase: Saturation
% 0.13/0.37  
% 0.13/0.37  % (21045)Memory used [KB]: 5500
% 0.13/0.37  % (21045)Time elapsed: 0.004 s
% 0.13/0.37  % (21045)Instructions burned: 3 (million)
% 0.13/0.37  % (21045)------------------------------
% 0.13/0.37  % (21045)------------------------------
% 0.13/0.38  % (21039)Instruction limit reached!
% 0.13/0.38  % (21039)------------------------------
% 0.13/0.38  % (21039)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38  % (21039)Termination reason: Unknown
% 0.13/0.38  % (21039)Termination phase: Saturation
% 0.13/0.38  
% 0.13/0.38  % (21039)Memory used [KB]: 5500
% 0.13/0.38  % (21039)Time elapsed: 0.005 s
% 0.13/0.38  % (21039)Instructions burned: 4 (million)
% 0.13/0.38  % (21039)------------------------------
% 0.13/0.38  % (21039)------------------------------
% 0.13/0.38  % (21043)First to succeed.
% 0.13/0.38  % (21038)Also succeeded, but the first one will report.
% 0.13/0.38  % (21043)Refutation found. Thanks to Tanya!
% 0.13/0.38  % SZS status Theorem for theBenchmark
% 0.13/0.38  % SZS output start Proof for theBenchmark
% 0.13/0.38  thf(func_def_1, type, g: $i > $i > $o).
% 0.13/0.38  thf(func_def_2, type, f: $i > $i).
% 0.13/0.38  thf(f30,plain,(
% 0.13/0.38    $false),
% 0.13/0.38    inference(trivial_inequality_removal,[],[f28])).
% 0.13/0.38  thf(f28,plain,(
% 0.13/0.38    ($true != $true)),
% 0.13/0.38    inference(superposition,[],[f25,f17])).
% 0.13/0.38  thf(f17,plain,(
% 0.13/0.38    ($true = (g @ (f @ a) @ a))),
% 0.13/0.38    inference(trivial_inequality_removal,[],[f16])).
% 0.13/0.38  thf(f16,plain,(
% 0.13/0.38    ($true = (g @ (f @ a) @ a)) | ($true != $true)),
% 0.13/0.38    inference(superposition,[],[f15,f8])).
% 0.13/0.38  thf(f8,plain,(
% 0.13/0.38    ( ! [X7 : $i] : (($true = (g @ (f @ X7) @ X7)) | ($true = (g @ X7 @ a))) )),
% 0.13/0.38    inference(cnf_transformation,[],[f7])).
% 0.13/0.38  thf(f7,plain,(
% 0.13/0.38    ! [X0] : (((g @ X0 @ a) = $true) | ((g @ X0 @ (f @ X0)) = $true)) & ! [X1,X2] : (($true != (g @ X1 @ X2)) | ($true = (g @ X2 @ (f @ X2)))) & ! [X3,X4] : (($true = (g @ (f @ X3) @ X3)) | ($true != (g @ X4 @ X3))) & ! [X5,X6] : (($true != (g @ X5 @ X6)) | ($true != (g @ X6 @ a))) & ! [X7] : (($true = (g @ X7 @ a)) | ($true = (g @ (f @ X7) @ X7)))),
% 0.13/0.38    inference(rectify,[],[f6])).
% 0.13/0.38  thf(f6,plain,(
% 0.13/0.38    ! [X5] : (($true = (g @ X5 @ a)) | ($true = (g @ X5 @ (f @ X5)))) & ! [X1,X2] : (($true != (g @ X1 @ X2)) | ($true = (g @ X2 @ (f @ X2)))) & ! [X4,X3] : (($true = (g @ (f @ X4) @ X4)) | ($true != (g @ X3 @ X4))) & ! [X7,X6] : (($true != (g @ X7 @ X6)) | ($true != (g @ X6 @ a))) & ! [X0] : (((g @ X0 @ a) = $true) | ((g @ (f @ X0) @ X0) = $true))),
% 0.13/0.38    inference(flattening,[],[f5])).
% 0.13/0.38  thf(f5,plain,(
% 0.13/0.38    ~~(! [X0] : (((g @ X0 @ a) = $true) | ((g @ (f @ X0) @ X0) = $true)) & ! [X1,X2] : (~($true = (g @ X1 @ X2)) | ($true = (g @ X2 @ (f @ X2)))) & ! [X3,X4] : (($true = (g @ (f @ X4) @ X4)) | ~($true = (g @ X3 @ X4))) & ! [X5] : (($true = (g @ X5 @ a)) | ($true = (g @ X5 @ (f @ X5)))) & ! [X6,X7] : (~($true = (g @ X6 @ a)) | ~($true = (g @ X7 @ X6))))),
% 0.13/0.38    inference(fool_elimination,[],[f4])).
% 0.13/0.38  thf(f4,plain,(
% 0.13/0.38    ~~(! [X0] : ((g @ (f @ X0) @ X0) | (g @ X0 @ a)) & ! [X1,X2] : (~(g @ X1 @ X2) | (g @ X2 @ (f @ X2))) & ! [X3,X4] : ((g @ (f @ X4) @ X4) | ~(g @ X3 @ X4)) & ! [X5] : ((g @ X5 @ a) | (g @ X5 @ (f @ X5))) & ! [X6,X7] : (~(g @ X6 @ a) | ~(g @ X7 @ X6)))),
% 0.13/0.38    inference(rectify,[],[f2])).
% 0.13/0.38  thf(f2,negated_conjecture,(
% 0.13/0.38    ~~(! [X0] : ((g @ (f @ X0) @ X0) | (g @ X0 @ a)) & ! [X0,X1] : (~(g @ X0 @ X1) | (g @ X1 @ (f @ X1))) & ! [X0,X1] : ((g @ (f @ X1) @ X1) | ~(g @ X0 @ X1)) & ! [X0] : ((g @ X0 @ a) | (g @ X0 @ (f @ X0))) & ! [X1,X0] : (~(g @ X1 @ a) | ~(g @ X0 @ X1)))),
% 0.13/0.38    inference(negated_conjecture,[],[f1])).
% 0.13/0.38  thf(f1,conjecture,(
% 0.13/0.38    ~(! [X0] : ((g @ (f @ X0) @ X0) | (g @ X0 @ a)) & ! [X0,X1] : (~(g @ X0 @ X1) | (g @ X1 @ (f @ X1))) & ! [X0,X1] : ((g @ (f @ X1) @ X1) | ~(g @ X0 @ X1)) & ! [X0] : ((g @ X0 @ a) | (g @ X0 @ (f @ X0))) & ! [X1,X0] : (~(g @ X1 @ a) | ~(g @ X0 @ X1)))),
% 0.13/0.38    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cSYN031_1)).
% 0.13/0.38  thf(f15,plain,(
% 0.13/0.38    ( ! [X0 : $i] : (($true != (g @ X0 @ (f @ a)))) )),
% 0.13/0.38    inference(subsumption_resolution,[],[f14,f9])).
% 0.13/0.38  thf(f9,plain,(
% 0.13/0.38    ( ! [X6 : $i,X5 : $i] : (($true != (g @ X6 @ a)) | ($true != (g @ X5 @ X6))) )),
% 0.13/0.38    inference(cnf_transformation,[],[f7])).
% 0.13/0.38  thf(f14,plain,(
% 0.13/0.38    ( ! [X0 : $i] : (((g @ a @ a) = $true) | ($true != (g @ X0 @ (f @ a)))) )),
% 0.13/0.38    inference(trivial_inequality_removal,[],[f13])).
% 0.13/0.38  thf(f13,plain,(
% 0.13/0.38    ( ! [X0 : $i] : (((g @ a @ a) = $true) | ($true != (g @ X0 @ (f @ a))) | ($true != $true)) )),
% 0.13/0.38    inference(superposition,[],[f9,f8])).
% 0.13/0.38  thf(f25,plain,(
% 0.13/0.38    ( ! [X0 : $i] : (((g @ X0 @ a) != $true)) )),
% 0.13/0.38    inference(trivial_inequality_removal,[],[f24])).
% 0.13/0.38  thf(f24,plain,(
% 0.13/0.38    ( ! [X0 : $i] : (((g @ X0 @ a) != $true) | ($true != $true)) )),
% 0.13/0.38    inference(superposition,[],[f15,f11])).
% 0.13/0.38  thf(f11,plain,(
% 0.13/0.38    ( ! [X2 : $i,X1 : $i] : (($true = (g @ X2 @ (f @ X2))) | ($true != (g @ X1 @ X2))) )),
% 0.13/0.38    inference(cnf_transformation,[],[f7])).
% 0.13/0.38  % SZS output end Proof for theBenchmark
% 0.13/0.38  % (21043)------------------------------
% 0.13/0.38  % (21043)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38  % (21043)Termination reason: Refutation
% 0.13/0.38  
% 0.13/0.38  % (21043)Memory used [KB]: 5500
% 0.13/0.38  % (21043)Time elapsed: 0.005 s
% 0.13/0.38  % (21043)Instructions burned: 3 (million)
% 0.13/0.38  % (21043)------------------------------
% 0.13/0.38  % (21043)------------------------------
% 0.13/0.38  % (21037)Success in time 0.007 s
% 0.13/0.38  % Vampire---4.8 exiting
%------------------------------------------------------------------------------