TSTP Solution File: COL014-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : COL014-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : n021.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 04:44:38 EDT 2024

% Result   : Unsatisfiable 0.62s 0.79s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    9 (   6 unt;   1 typ;   0 def)
%            Number of atoms       :   26 (   3 equ)
%            Maximal formula atoms :    2 (   3 avg)
%            Number of connectives :    6 (   4   ~;   1   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   16 (  16 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   14 (  13   !;   0   ?;  14   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_1,type,
    sQ0_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f12,plain,
    $false,
    inference(resolution,[],[f7,f10]) ).

tff(f10,plain,
    ! [X0: $i] : ~ sQ0_eqProxy($i,X0,apply(combinator,X0)),
    inference(resolution,[],[f9,f5]) ).

tff(f5,plain,
    ! [X1: $i] : ~ sQ0_eqProxy($i,apply(combinator,X1),X1),
    inference(equality_proxy_replacement,[],[f3,f4]) ).

tff(f4,plain,
    ! [X0: $tType,X2: X0,X1: X0] :
      ( sQ0_eqProxy(X0,X1,X2)
    <=> ( X1 = X2 ) ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).

tff(f3,axiom,
    ! [X1: $i] : ( apply(combinator,X1) != X1 ),
    file('/export/starexec/sandbox/tmp/tmp.Yp8ctLj9bj/Vampire---4.8_13877',prove_fixed_point) ).

tff(f9,plain,
    ! [X0: $tType,X2: X0,X1: X0] :
      ( sQ0_eqProxy(X0,X2,X1)
      | ~ sQ0_eqProxy(X0,X1,X2) ),
    inference(equality_proxy_axiom,[],[f4]) ).

tff(f7,plain,
    ! [X0: $i,X1: $i] : sQ0_eqProxy($i,apply(apply(l,X0),X1),apply(X0,apply(X1,X1))),
    inference(equality_proxy_replacement,[],[f1,f4]) ).

tff(f1,axiom,
    ! [X0: $i,X1: $i] : ( apply(apply(l,X0),X1) = apply(X0,apply(X1,X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.Yp8ctLj9bj/Vampire---4.8_13877',l_definition) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem    : COL014-1 : TPTP v8.1.2. Released v1.0.0.
% 0.09/0.12  % 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
% 0.13/0.32  % Computer : n021.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit   : 300
% 0.13/0.32  % WCLimit    : 300
% 0.13/0.32  % DateTime   : Fri May  3 18:28:53 EDT 2024
% 0.13/0.32  % CPUTime    : 
% 0.13/0.32  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.13/0.32  Running 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 300 /export/starexec/sandbox/tmp/tmp.Yp8ctLj9bj/Vampire---4.8_13877
% 0.62/0.79  % (14229)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 (2995ds/34Mi)
% 0.62/0.79  % (14234)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.62/0.79  % (14232)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.62/0.79  % (14231)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.79  % (14230)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 (2995ds/51Mi)
% 0.62/0.79  % (14233)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 (2995ds/34Mi)
% 0.62/0.79  % (14235)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.62/0.79  % (14232)Refutation not found, incomplete strategy% (14232)------------------------------
% 0.62/0.79  % (14232)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79  % (14234)Refutation not found, incomplete strategy% (14234)------------------------------
% 0.62/0.79  % (14234)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79  % (14234)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79  
% 0.62/0.79  % (14234)Memory used [KB]: 946
% 0.62/0.79  % (14234)Time elapsed: 0.002 s
% 0.62/0.79  % (14234)Instructions burned: 2 (million)
% 0.62/0.79  % (14232)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79  % (14236)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 (2995ds/56Mi)
% 0.62/0.79  
% 0.62/0.79  % (14232)Memory used [KB]: 946
% 0.62/0.79  % (14232)Time elapsed: 0.002 s
% 0.62/0.79  % (14232)Instructions burned: 2 (million)
% 0.62/0.79  % (14234)------------------------------
% 0.62/0.79  % (14234)------------------------------
% 0.62/0.79  % (14229)First to succeed.
% 0.62/0.79  % (14232)------------------------------
% 0.62/0.79  % (14232)------------------------------
% 0.62/0.79  % (14233)Also succeeded, but the first one will report.
% 0.62/0.79  % (14235)Refutation not found, incomplete strategy% (14235)------------------------------
% 0.62/0.79  % (14235)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79  % (14235)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79  % (14236)Refutation not found, incomplete strategy% (14236)------------------------------
% 0.62/0.79  % (14236)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79  % (14236)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79  
% 0.62/0.79  % (14236)Memory used [KB]: 947
% 0.62/0.79  % (14236)Time elapsed: 0.002 s
% 0.62/0.79  % (14229)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14131"
% 0.62/0.79  % (14236)Instructions burned: 2 (million)
% 0.62/0.79  
% 0.62/0.79  % (14230)Also succeeded, but the first one will report.
% 0.62/0.79  % (14235)Memory used [KB]: 946
% 0.62/0.79  % (14235)Time elapsed: 0.003 s
% 0.62/0.79  % (14235)Instructions burned: 2 (million)
% 0.62/0.79  % (14231)Also succeeded, but the first one will report.
% 0.62/0.79  % (14236)------------------------------
% 0.62/0.79  % (14236)------------------------------
% 0.62/0.79  % (14235)------------------------------
% 0.62/0.79  % (14235)------------------------------
% 0.62/0.79  % (14229)Refutation found. Thanks to Tanya!
% 0.62/0.79  % SZS status Unsatisfiable for Vampire---4
% 0.62/0.79  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.79  % (14229)------------------------------
% 0.62/0.79  % (14229)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79  % (14229)Termination reason: Refutation
% 0.62/0.79  
% 0.62/0.79  % (14229)Memory used [KB]: 971
% 0.62/0.79  % (14229)Time elapsed: 0.003 s
% 0.62/0.79  % (14229)Instructions burned: 2 (million)
% 0.62/0.79  % (14131)Success in time 0.466 s
% 0.62/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------