TSTP Solution File: COL062-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : COL062-2 : TPTP v8.1.2. Bugfixed v1.2.0.
% 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 : Sun May  5 04:44:56 EDT 2024

% Result   : Unsatisfiable 0.73s 0.92s
% Output   : Refutation 0.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (  12 unt;   0 def)
%            Number of atoms       :   12 (  11 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    9 (   9   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :    5 (   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f12,plain,
    $false,
    inference(trivial_inequality_removal,[],[f11]) ).

fof(f11,plain,
    apply(apply(x,z),y) != apply(apply(x,z),y),
    inference(superposition,[],[f10,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : apply(apply(t,X0),X1) = apply(X1,X0),
    file('/export/starexec/sandbox2/tmp/tmp.DjFdMlo6NX/Vampire---4.8_17814',t_definition) ).

fof(f10,plain,
    apply(apply(x,z),y) != apply(apply(t,y),apply(x,z)),
    inference(superposition,[],[f9,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
    file('/export/starexec/sandbox2/tmp/tmp.DjFdMlo6NX/Vampire---4.8_17814',b_definition) ).

fof(f9,plain,
    apply(apply(x,z),y) != apply(apply(apply(b,apply(t,y)),x),z),
    inference(forward_demodulation,[],[f8,f1]) ).

fof(f8,plain,
    apply(apply(x,z),y) != apply(apply(apply(apply(apply(b,b),t),y),x),z),
    inference(forward_demodulation,[],[f7,f2]) ).

fof(f7,plain,
    apply(apply(x,z),y) != apply(apply(apply(t,x),apply(apply(apply(b,b),t),y)),z),
    inference(forward_demodulation,[],[f6,f1]) ).

fof(f6,plain,
    apply(apply(x,z),y) != apply(apply(apply(apply(b,apply(t,x)),apply(apply(b,b),t)),y),z),
    inference(forward_demodulation,[],[f5,f1]) ).

fof(f5,plain,
    apply(apply(x,z),y) != apply(apply(apply(apply(apply(apply(b,b),t),x),apply(apply(b,b),t)),y),z),
    inference(forward_demodulation,[],[f4,f2]) ).

fof(f4,plain,
    apply(apply(x,z),y) != apply(apply(apply(apply(t,apply(apply(b,b),t)),apply(apply(apply(b,b),t),x)),y),z),
    inference(forward_demodulation,[],[f3,f1]) ).

fof(f3,axiom,
    apply(apply(apply(apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t)),x),y),z) != apply(apply(x,z),y),
    file('/export/starexec/sandbox2/tmp/tmp.DjFdMlo6NX/Vampire---4.8_17814',prove_c_combinator) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : COL062-2 : TPTP v8.1.2. Bugfixed v1.2.0.
% 0.07/0.15  % 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
% 0.16/0.36  % Computer : n026.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Fri May  3 18:31:53 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.16/0.37  Running 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 300 /export/starexec/sandbox2/tmp/tmp.DjFdMlo6NX/Vampire---4.8_17814
% 0.73/0.91  % (18062)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2994ds/34Mi)
% 0.73/0.92  % (18064)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2994ds/51Mi)
% 0.73/0.92  % (18065)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.73/0.92  % (18068)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.73/0.92  % (18066)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.73/0.92  % (18070)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2994ds/56Mi)
% 0.73/0.92  % (18062)Refutation not found, incomplete strategy% (18062)------------------------------
% 0.73/0.92  % (18062)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.92  % (18062)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.92  
% 0.73/0.92  % (18062)Memory used [KB]: 963
% 0.73/0.92  % (18062)Time elapsed: 0.001 s
% 0.73/0.92  % (18062)Instructions burned: 2 (million)
% 0.73/0.92  % (18068)Refutation not found, incomplete strategy% (18068)------------------------------
% 0.73/0.92  % (18068)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.92  % (18068)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.92  
% 0.73/0.92  % (18068)Memory used [KB]: 954
% 0.73/0.92  % (18068)Time elapsed: 0.001 s
% 0.73/0.92  % (18068)Instructions burned: 2 (million)
% 0.73/0.92  % (18067)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2994ds/34Mi)
% 0.73/0.92  % (18070)Refutation not found, incomplete strategy% (18070)------------------------------
% 0.73/0.92  % (18070)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.92  % (18070)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.92  
% 0.73/0.92  % (18070)Memory used [KB]: 949
% 0.73/0.92  % (18070)Time elapsed: 0.001 s
% 0.73/0.92  % (18070)Instructions burned: 2 (million)
% 0.73/0.92  % (18062)------------------------------
% 0.73/0.92  % (18062)------------------------------
% 0.73/0.92  % (18066)Refutation not found, incomplete strategy% (18066)------------------------------
% 0.73/0.92  % (18066)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.92  % (18066)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.92  
% 0.73/0.92  % (18066)Memory used [KB]: 961
% 0.73/0.92  % (18066)Time elapsed: 0.002 s
% 0.73/0.92  % (18066)Instructions burned: 2 (million)
% 0.73/0.92  % (18064)First to succeed.
% 0.73/0.92  % (18068)------------------------------
% 0.73/0.92  % (18068)------------------------------
% 0.73/0.92  % (18065)Also succeeded, but the first one will report.
% 0.73/0.92  % (18070)------------------------------
% 0.73/0.92  % (18070)------------------------------
% 0.73/0.92  % (18066)------------------------------
% 0.73/0.92  % (18066)------------------------------
% 0.73/0.92  % (18064)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-18029"
% 0.73/0.92  % (18067)Refutation not found, incomplete strategy% (18067)------------------------------
% 0.73/0.92  % (18067)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.92  % (18067)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.92  
% 0.73/0.92  % (18067)Memory used [KB]: 963
% 0.73/0.92  % (18067)Time elapsed: 0.002 s
% 0.73/0.92  % (18067)Instructions burned: 2 (million)
% 0.73/0.92  % (18067)------------------------------
% 0.73/0.92  % (18067)------------------------------
% 0.73/0.92  % (18064)Refutation found. Thanks to Tanya!
% 0.73/0.92  % SZS status Unsatisfiable for Vampire---4
% 0.73/0.92  % SZS output start Proof for Vampire---4
% See solution above
% 0.73/0.92  % (18064)------------------------------
% 0.73/0.92  % (18064)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.92  % (18064)Termination reason: Refutation
% 0.73/0.92  
% 0.73/0.92  % (18064)Memory used [KB]: 963
% 0.73/0.92  % (18064)Time elapsed: 0.002 s
% 0.73/0.92  % (18064)Instructions burned: 3 (million)
% 0.73/0.92  % (18029)Success in time 0.547 s
% 0.73/0.92  % Vampire---4.8 exiting
%------------------------------------------------------------------------------