TSTP Solution File: HAL007+1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : HAL007+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n017.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  : 0s
% DateTime : Sat Jul 16 12:44:43 EDT 2022

% Result   : Timeout 300.05s 300.42s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : HAL007+1 : TPTP v8.1.0. Released v6.4.0.
% 0.11/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n017.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % DateTime : Tue Jun  7 20:22:02 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 177.58/177.95  *** allocated 10000 integers for termspace/termends
% 177.58/177.95  *** allocated 10000 integers for clauses
% 177.58/177.95  *** allocated 10000 integers for justifications
% 177.58/177.95  Bliksem 1.12
% 177.58/177.95  
% 177.58/177.95  
% 177.58/177.95  Automatic Strategy Selection
% 177.58/177.95  
% 177.58/177.95  
% 177.58/177.95  Clauses:
% 177.58/177.95  
% 177.58/177.95  { ! morphism( X, Y, Z ), ! element( T, Y ), element( apply( X, T ), Z ) }.
% 177.58/177.95  { ! morphism( X, Y, Z ), apply( X, zero( Y ) ) = zero( Z ) }.
% 177.58/177.95  { ! injection( X ), ! morphism( X, Y, Z ), ! element( T, Y ), ! element( U
% 177.58/177.95    , Y ), ! apply( X, T ) = apply( X, U ), T = U }.
% 177.58/177.95  { ! morphism( X, Y, Z ), alpha3( Y, skol1( X, Y ), skol8( X, Y ) ), 
% 177.58/177.95    injection( X ) }.
% 177.58/177.95  { ! morphism( X, Y, Z ), apply( X, skol1( X, Y ) ) = apply( X, skol8( X, Y
% 177.58/177.95     ) ), injection( X ) }.
% 177.58/177.95  { ! morphism( X, Y, Z ), ! skol1( X, Y ) = skol8( X, Y ), injection( X ) }
% 177.58/177.95    .
% 177.58/177.95  { ! alpha3( X, Y, Z ), element( Y, X ) }.
% 177.58/177.95  { ! alpha3( X, Y, Z ), element( Z, X ) }.
% 177.58/177.95  { ! element( Y, X ), ! element( Z, X ), alpha3( X, Y, Z ) }.
% 177.58/177.95  { ! surjection( X ), ! morphism( X, Y, Z ), ! element( T, Z ), element( 
% 177.58/177.95    skol2( U, Y, W ), Y ) }.
% 177.58/177.95  { ! surjection( X ), ! morphism( X, Y, Z ), ! element( T, Z ), apply( X, 
% 177.58/177.95    skol2( X, Y, T ) ) = T }.
% 177.58/177.95  { ! morphism( X, Y, Z ), element( skol3( T, U, Z ), Z ), surjection( X ) }
% 177.58/177.95    .
% 177.58/177.95  { ! morphism( X, Y, Z ), ! element( T, Y ), ! apply( X, T ) = skol3( X, Y, 
% 177.58/177.95    Z ), surjection( X ) }.
% 177.58/177.95  { ! exact( X, Y ), ! morphism( X, Z, T ), ! morphism( Y, T, U ), ! element
% 177.58/177.95    ( W, T ), ! apply( Y, W ) = zero( U ), alpha1( X, Z, W ) }.
% 177.58/177.95  { ! exact( X, Y ), ! morphism( X, Z, T ), ! morphism( Y, T, U ), ! alpha1( 
% 177.58/177.95    X, Z, W ), element( W, T ) }.
% 177.58/177.95  { ! exact( X, Y ), ! morphism( X, Z, T ), ! morphism( Y, T, U ), ! alpha1( 
% 177.58/177.95    X, Z, W ), apply( Y, W ) = zero( U ) }.
% 177.58/177.95  { ! alpha1( X, Y, Z ), element( skol4( T, Y, U ), Y ) }.
% 177.58/177.95  { ! alpha1( X, Y, Z ), apply( X, skol4( X, Y, Z ) ) = Z }.
% 177.58/177.95  { ! element( T, Y ), ! apply( X, T ) = Z, alpha1( X, Y, Z ) }.
% 177.58/177.95  { ! morphism( X, Z, T ), ! morphism( Y, T, U ), alpha5( X, Y, Z, T, U, 
% 177.58/177.95    skol5( X, Y, Z, T, U ) ), alpha2( X, Z, skol5( X, Y, Z, T, U ) ), exact( 
% 177.58/177.95    X, Y ) }.
% 177.58/177.95  { ! morphism( X, Z, T ), ! morphism( Y, T, U ), alpha5( X, Y, Z, T, U, 
% 177.58/177.95    skol5( X, Y, Z, T, U ) ), ! element( skol5( X, Y, Z, T, U ), T ), ! apply
% 177.58/177.95    ( Y, skol5( X, Y, Z, T, U ) ) = zero( U ), exact( X, Y ) }.
% 177.58/177.95  { ! alpha5( X, Y, Z, T, U, W ), alpha4( Y, T, U, W ) }.
% 177.58/177.95  { ! alpha5( X, Y, Z, T, U, W ), ! alpha2( X, Z, W ) }.
% 177.58/177.95  { ! alpha4( Y, T, U, W ), alpha2( X, Z, W ), alpha5( X, Y, Z, T, U, W ) }.
% 177.58/177.95  { ! alpha4( X, Y, Z, T ), element( T, Y ) }.
% 177.58/177.95  { ! alpha4( X, Y, Z, T ), apply( X, T ) = zero( Z ) }.
% 177.58/177.95  { ! element( T, Y ), ! apply( X, T ) = zero( Z ), alpha4( X, Y, Z, T ) }.
% 177.58/177.95  { ! alpha2( X, Y, Z ), element( skol6( T, Y, U ), Y ) }.
% 177.58/177.95  { ! alpha2( X, Y, Z ), apply( X, skol6( X, Y, Z ) ) = Z }.
% 177.58/177.95  { ! element( T, Y ), ! apply( X, T ) = Z, alpha2( X, Y, Z ) }.
% 177.58/177.95  { ! commute( X, Y, Z, T ), ! morphism( X, U, W ), ! morphism( Y, W, V0 ), !
% 177.58/177.95     morphism( Z, U, V1 ), ! morphism( T, V1, V0 ), ! element( V2, U ), apply
% 177.58/177.95    ( Y, apply( X, V2 ) ) = apply( T, apply( Z, V2 ) ) }.
% 177.58/177.95  { ! morphism( X, U, W ), ! morphism( Y, W, V0 ), ! morphism( Z, U, V1 ), ! 
% 177.58/177.95    morphism( T, V1, V0 ), element( skol7( V2, V3, V4, V5, U ), U ), commute
% 177.58/177.95    ( X, Y, Z, T ) }.
% 177.58/177.95  { ! morphism( X, U, W ), ! morphism( Y, W, V0 ), ! morphism( Z, U, V1 ), ! 
% 177.58/177.95    morphism( T, V1, V0 ), ! apply( Y, apply( X, skol7( X, Y, Z, T, U ) ) ) =
% 177.58/177.95     apply( T, apply( Z, skol7( X, Y, Z, T, U ) ) ), commute( X, Y, Z, T ) }
% 177.58/177.95    .
% 177.58/177.95  { ! element( Y, X ), ! element( Z, X ), element( subtract( X, Y, Z ), X ) }
% 177.58/177.95    .
% 177.58/177.95  { ! element( Y, X ), subtract( X, Y, Y ) = zero( X ) }.
% 177.58/177.95  { ! element( Y, X ), ! element( Z, X ), subtract( X, Y, subtract( X, Y, Z )
% 177.58/177.95     ) = Z }.
% 177.58/177.95  { ! morphism( X, Y, Z ), ! element( T, Y ), ! element( U, Y ), apply( X, 
% 177.58/177.95    subtract( Y, T, U ) ) = subtract( Z, apply( X, T ), apply( X, U ) ) }.
% 177.58/177.95  
% 177.58/177.95  percentage equality = 0.164062, percentage horn = 0.810811
% 177.58/177.95  This is a problem with some equality
% 177.58/177.95  
% 177.58/177.95  
% 177.58/177.95  
% 177.58/177.95  Options Used:
% 177.58/177.95  
% 177.58/177.95  useres =            1
% 177.58/177.95  useparamod =        1
% 177.58/177.95  useeqrefl =         1
% 177.58/177.95  useeqfact =         1
% 177.58/177.95  usefactor =         1
% 177.58/177.95  usesimpsplitting =  0
% 177.58/177.95  usesimpdemod =      5
% 177.58/177.95  usesimpres =        3
% 177.58/177.95  
% 177.58/177.95  resimpinuse      =  1000
% 177.58/177.95  resimpclauses =     20000
% 177.58/177.95  substype =          eqrewr
% 177.58/177.95  backwardsubs =      1
% 177.58/177.95  selectoldest = Cputime limit exceeded (core dumped)
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