TSTP Solution File: SEV408^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEV408^5 : TPTP v8.1.2. 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n016.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 : Sun May  5 09:43:04 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
% 0.11/0.13  % Problem    : SEV408^5 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14  % 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
% 0.15/0.35  % Computer : n016.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   : Fri May  3 12:41:46 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a TH0_THM_NEQ_NAR problem
% 0.15/0.36  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/tmp/tmp.xc94iR4o1E/Vampire---4.8_19835
% 0.15/0.37  % (20013)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 Vampire---4 for (2999ds/27Mi)
% 0.15/0.37  % (20011)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.15/0.37  % (20011)First to succeed.
% 0.15/0.38  % (20011)Refutation found. Thanks to Tanya!
% 0.15/0.38  % SZS status Theorem for Vampire---4
% 0.15/0.38  % SZS output start Proof for Vampire---4
% 0.15/0.38  thf(func_def_0, type, cF: ($i > $o) > $o).
% 0.15/0.38  thf(func_def_4, type, sK0: (($i > $o) > $o) > $i > $o).
% 0.15/0.38  thf(func_def_5, type, sK1: ($i > $o) > (($i > $o) > $o) > $i).
% 0.15/0.38  thf(func_def_8, type, ph3: !>[X0: $tType]:(X0)).
% 0.15/0.38  thf(f20,plain,(
% 0.15/0.38    $false),
% 0.15/0.38    inference(trivial_inequality_removal,[],[f19])).
% 0.15/0.38  thf(f19,plain,(
% 0.15/0.38    ($true = $false)),
% 0.15/0.38    inference(beta_eta_normalization,[],[f14])).
% 0.15/0.38  thf(f14,plain,(
% 0.15/0.38    ($true = ((^[Y0 : $i > $o]: ($false)) @ (sK0 @ (^[Y0 : $i > $o]: ($false)))))),
% 0.15/0.38    inference(primitive_instantiation,[],[f12])).
% 0.15/0.38  thf(f12,plain,(
% 0.15/0.38    ( ! [X0 : ($i > $o) > $o] : (($true = (X0 @ (sK0 @ X0)))) )),
% 0.15/0.38    inference(cnf_transformation,[],[f9])).
% 0.15/0.38  thf(f9,plain,(
% 0.15/0.38    ! [X0 : ($i > $o) > $o] : (($true = (X0 @ (sK0 @ X0))) & ! [X2 : $i > $o] : ((((X2 @ (sK1 @ X2 @ X0)) != $true) & ($true = (sK0 @ X0 @ (sK1 @ X2 @ X0)))) | ((cF @ X2) != $true)))),
% 0.15/0.38    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f6,f8,f7])).
% 0.15/0.38  thf(f7,plain,(
% 0.15/0.38    ! [X0 : ($i > $o) > $o] : (? [X1 : $i > $o] : (((X0 @ X1) = $true) & ! [X2 : $i > $o] : (? [X3] : (((X2 @ X3) != $true) & ((X1 @ X3) = $true)) | ((cF @ X2) != $true))) => (($true = (X0 @ (sK0 @ X0))) & ! [X2 : $i > $o] : (? [X3] : (((X2 @ X3) != $true) & ($true = (sK0 @ X0 @ X3))) | ((cF @ X2) != $true))))),
% 0.15/0.38    introduced(choice_axiom,[])).
% 0.15/0.38  thf(f8,plain,(
% 0.15/0.38    ! [X0 : ($i > $o) > $o,X2 : $i > $o] : (? [X3] : (((X2 @ X3) != $true) & ($true = (sK0 @ X0 @ X3))) => (((X2 @ (sK1 @ X2 @ X0)) != $true) & ($true = (sK0 @ X0 @ (sK1 @ X2 @ X0)))))),
% 0.15/0.38    introduced(choice_axiom,[])).
% 0.15/0.38  thf(f6,plain,(
% 0.15/0.38    ! [X0 : ($i > $o) > $o] : ? [X1 : $i > $o] : (((X0 @ X1) = $true) & ! [X2 : $i > $o] : (? [X3] : (((X2 @ X3) != $true) & ((X1 @ X3) = $true)) | ((cF @ X2) != $true)))),
% 0.15/0.38    inference(ennf_transformation,[],[f5])).
% 0.15/0.38  thf(f5,plain,(
% 0.15/0.38    ~? [X0 : ($i > $o) > $o] : ! [X1 : $i > $o] : (((X0 @ X1) = $true) => ? [X2 : $i > $o] : (((cF @ X2) = $true) & ! [X3] : (((X1 @ X3) = $true) => ((X2 @ X3) = $true))))),
% 0.15/0.38    inference(fool_elimination,[],[f4])).
% 0.15/0.38  thf(f4,plain,(
% 0.15/0.38    ~? [X0 : ($i > $o) > $o] : ! [X1 : $i > $o] : ((X0 @ X1) => ? [X2 : $i > $o] : (! [X3] : ((X1 @ X3) => (X2 @ X3)) & (cF @ X2)))),
% 0.15/0.38    inference(rectify,[],[f2])).
% 0.15/0.38  thf(f2,negated_conjecture,(
% 0.15/0.38    ~? [X0 : ($i > $o) > $o] : ! [X1 : $i > $o] : ((X0 @ X1) => ? [X2 : $i > $o] : (! [X3] : ((X1 @ X3) => (X2 @ X3)) & (cF @ X2)))),
% 0.15/0.38    inference(negated_conjecture,[],[f1])).
% 0.15/0.38  thf(f1,conjecture,(
% 0.15/0.38    ? [X0 : ($i > $o) > $o] : ! [X1 : $i > $o] : ((X0 @ X1) => ? [X2 : $i > $o] : (! [X3] : ((X1 @ X3) => (X2 @ X3)) & (cF @ X2)))),
% 0.15/0.38    file('/export/starexec/sandbox2/tmp/tmp.xc94iR4o1E/Vampire---4.8_19835',cBLEDSOE2_pme)).
% 0.15/0.38  % SZS output end Proof for Vampire---4
% 0.15/0.38  % (20011)------------------------------
% 0.15/0.38  % (20011)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38  % (20011)Termination reason: Refutation
% 0.15/0.38  
% 0.15/0.38  % (20011)Memory used [KB]: 5500
% 0.15/0.38  % (20011)Time elapsed: 0.002 s
% 0.15/0.38  % (20011)Instructions burned: 1 (million)
% 0.15/0.38  % (20011)------------------------------
% 0.15/0.38  % (20011)------------------------------
% 0.15/0.38  % (20009)Success in time 0.009 s
% 0.15/0.38  % Vampire---4.8 exiting
%------------------------------------------------------------------------------