TSTP Solution File: SYO149^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO149^5 : 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 : n007.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 09:03:09 EDT 2024

% Result   : Theorem 0.12s 0.34s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SYO149^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.12  % 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
% 0.12/0.32  % Computer : n007.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Mon May 20 10:56:08 EDT 2024
% 0.12/0.32  % CPUTime    : 
% 0.12/0.32  This is a TH0_THM_NEQ_NAR problem
% 0.12/0.32  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
% 0.12/0.34  % (314)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)
% 0.12/0.34  % (311)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)
% 0.12/0.34  % (314)First to succeed.
% 0.12/0.34  % (311)Instruction limit reached!
% 0.12/0.34  % (311)------------------------------
% 0.12/0.34  % (311)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.34  % (311)Termination reason: Unknown
% 0.12/0.34  % (311)Termination phase: Saturation
% 0.12/0.34  
% 0.12/0.34  % (311)Memory used [KB]: 5500
% 0.12/0.34  % (311)Time elapsed: 0.003 s
% 0.12/0.34  % (311)Instructions burned: 3 (million)
% 0.12/0.34  % (311)------------------------------
% 0.12/0.34  % (311)------------------------------
% 0.12/0.34  % (314)Refutation found. Thanks to Tanya!
% 0.12/0.34  % SZS status Theorem for theBenchmark
% 0.12/0.34  % SZS output start Proof for theBenchmark
% 0.12/0.34  thf(func_def_1, type, f: $i > $i).
% 0.12/0.34  thf(func_def_2, type, cP: $i > $o).
% 0.12/0.34  thf(func_def_3, type, cQ: $i > $o).
% 0.12/0.34  thf(f16,plain,(
% 0.12/0.34    $false),
% 0.12/0.34    inference(subsumption_resolution,[],[f15,f8])).
% 0.12/0.34  thf(f8,plain,(
% 0.12/0.34    ((cP @ (f @ a)) != $true)),
% 0.12/0.34    inference(cnf_transformation,[],[f7])).
% 0.12/0.34  thf(f7,plain,(
% 0.12/0.34    ((cP @ a) = $true) & ! [X0] : (((cP @ X0) != $true) | ((cQ @ (f @ X0)) = $true)) & ! [X1] : (((cQ @ X1) != $true) | ((cP @ X1) = $true)) & ((cP @ (f @ a)) != $true)),
% 0.12/0.34    inference(flattening,[],[f6])).
% 0.12/0.34  thf(f6,plain,(
% 0.12/0.34    ((cP @ (f @ a)) != $true) & (((cP @ a) = $true) & ! [X0] : (((cP @ X0) != $true) | ((cQ @ (f @ X0)) = $true)) & ! [X1] : (((cQ @ X1) != $true) | ((cP @ X1) = $true)))),
% 0.12/0.34    inference(ennf_transformation,[],[f5])).
% 0.12/0.34  thf(f5,plain,(
% 0.12/0.34    ~((((cP @ a) = $true) & ! [X0] : (((cP @ X0) = $true) => ((cQ @ (f @ X0)) = $true)) & ! [X1] : (((cQ @ X1) = $true) => ((cP @ X1) = $true))) => ((cP @ (f @ a)) = $true))),
% 0.12/0.34    inference(fool_elimination,[],[f4])).
% 0.12/0.34  thf(f4,plain,(
% 0.12/0.34    ~((! [X0] : ((cP @ X0) => (cQ @ (f @ X0))) & (cP @ a) & ! [X1] : ((cQ @ X1) => (cP @ X1))) => (cP @ (f @ a)))),
% 0.12/0.34    inference(rectify,[],[f2])).
% 0.12/0.34  thf(f2,negated_conjecture,(
% 0.12/0.34    ~((! [X0] : ((cP @ X0) => (cQ @ (f @ X0))) & (cP @ a) & ! [X1] : ((cQ @ X1) => (cP @ X1))) => (cP @ (f @ a)))),
% 0.12/0.34    inference(negated_conjecture,[],[f1])).
% 0.12/0.34  thf(f1,conjecture,(
% 0.12/0.34    (! [X0] : ((cP @ X0) => (cQ @ (f @ X0))) & (cP @ a) & ! [X1] : ((cQ @ X1) => (cP @ X1))) => (cP @ (f @ a))),
% 0.12/0.34    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cSIMPLEPQ)).
% 0.12/0.34  thf(f15,plain,(
% 0.12/0.34    ((cP @ (f @ a)) = $true)),
% 0.12/0.34    inference(trivial_inequality_removal,[],[f14])).
% 0.12/0.34  thf(f14,plain,(
% 0.12/0.34    ((cP @ (f @ a)) = $true) | ($true != $true)),
% 0.12/0.34    inference(superposition,[],[f9,f13])).
% 0.12/0.34  thf(f13,plain,(
% 0.12/0.34    ($true = (cQ @ (f @ a)))),
% 0.12/0.34    inference(trivial_inequality_removal,[],[f12])).
% 0.12/0.34  thf(f12,plain,(
% 0.12/0.34    ($true = (cQ @ (f @ a))) | ($true != $true)),
% 0.12/0.34    inference(superposition,[],[f10,f11])).
% 0.12/0.34  thf(f11,plain,(
% 0.12/0.34    ((cP @ a) = $true)),
% 0.12/0.34    inference(cnf_transformation,[],[f7])).
% 0.12/0.34  thf(f10,plain,(
% 0.12/0.34    ( ! [X0 : $i] : (((cP @ X0) != $true) | ((cQ @ (f @ X0)) = $true)) )),
% 0.12/0.34    inference(cnf_transformation,[],[f7])).
% 0.12/0.34  thf(f9,plain,(
% 0.12/0.34    ( ! [X1 : $i] : (((cQ @ X1) != $true) | ((cP @ X1) = $true)) )),
% 0.12/0.34    inference(cnf_transformation,[],[f7])).
% 0.12/0.34  % SZS output end Proof for theBenchmark
% 0.12/0.34  % (314)------------------------------
% 0.12/0.34  % (314)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.34  % (314)Termination reason: Refutation
% 0.12/0.34  
% 0.12/0.34  % (314)Memory used [KB]: 5500
% 0.12/0.34  % (314)Time elapsed: 0.003 s
% 0.12/0.34  % (314)Instructions burned: 2 (million)
% 0.12/0.34  % (314)------------------------------
% 0.12/0.34  % (314)------------------------------
% 0.12/0.34  % (306)Success in time 0.001 s
% 0.12/0.34  % Vampire---4.8 exiting
%------------------------------------------------------------------------------