TSTP Solution File: HAL002+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : HAL002+1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %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 : 0s
% DateTime : Sat Jul 16 12:44:42 EDT 2022
% Result : Timeout 300.02s 300.54s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : HAL002+1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Tue Jun 7 21:33:01 EDT 2022
% 0.13/0.33 % CPUTime :
% 2.17/2.58 *** allocated 10000 integers for termspace/termends
% 2.17/2.58 *** allocated 10000 integers for clauses
% 2.17/2.58 *** allocated 10000 integers for justifications
% 2.17/2.58 Bliksem 1.12
% 2.17/2.58
% 2.17/2.58
% 2.17/2.58 Automatic Strategy Selection
% 2.17/2.58
% 2.17/2.58
% 2.17/2.58 Clauses:
% 2.17/2.58
% 2.17/2.58 { ! morphism( X, Y, Z ), ! element( T, Y ), element( apply( X, T ), Z ) }.
% 2.17/2.58 { ! morphism( X, Y, Z ), apply( X, zero( Y ) ) = zero( Z ) }.
% 2.17/2.58 { ! injection( X ), ! morphism( X, Y, Z ), ! element( T, Y ), ! element( U
% 2.17/2.58 , Y ), ! apply( X, T ) = apply( X, U ), T = U }.
% 2.17/2.58 { ! morphism( X, Y, Z ), alpha3( Y, skol1( X, Y ), skol9( X, Y ) ),
% 2.17/2.58 injection( X ) }.
% 2.17/2.58 { ! morphism( X, Y, Z ), apply( X, skol1( X, Y ) ) = apply( X, skol9( X, Y
% 2.17/2.58 ) ), injection( X ) }.
% 2.17/2.58 { ! morphism( X, Y, Z ), ! skol1( X, Y ) = skol9( X, Y ), injection( X ) }
% 2.17/2.58 .
% 2.17/2.58 { ! alpha3( X, Y, Z ), element( Y, X ) }.
% 2.17/2.58 { ! alpha3( X, Y, Z ), element( Z, X ) }.
% 2.17/2.58 { ! element( Y, X ), ! element( Z, X ), alpha3( X, Y, Z ) }.
% 2.17/2.58 { ! surjection( X ), ! morphism( X, Y, Z ), ! element( T, Z ), element(
% 2.17/2.58 skol2( U, Y, W ), Y ) }.
% 2.17/2.58 { ! surjection( X ), ! morphism( X, Y, Z ), ! element( T, Z ), apply( X,
% 2.17/2.58 skol2( X, Y, T ) ) = T }.
% 2.17/2.58 { ! morphism( X, Y, Z ), element( skol3( T, U, Z ), Z ), surjection( X ) }
% 2.17/2.58 .
% 2.17/2.58 { ! morphism( X, Y, Z ), ! element( T, Y ), ! apply( X, T ) = skol3( X, Y,
% 2.17/2.58 Z ), surjection( X ) }.
% 2.17/2.58 { ! exact( X, Y ), ! morphism( X, Z, T ), ! morphism( Y, T, U ), ! element
% 2.17/2.58 ( W, T ), ! apply( Y, W ) = zero( U ), alpha1( X, Z, W ) }.
% 2.17/2.58 { ! exact( X, Y ), ! morphism( X, Z, T ), ! morphism( Y, T, U ), ! alpha1(
% 2.17/2.58 X, Z, W ), element( W, T ) }.
% 2.17/2.58 { ! exact( X, Y ), ! morphism( X, Z, T ), ! morphism( Y, T, U ), ! alpha1(
% 2.17/2.58 X, Z, W ), apply( Y, W ) = zero( U ) }.
% 2.17/2.58 { ! alpha1( X, Y, Z ), element( skol4( T, Y, U ), Y ) }.
% 2.17/2.58 { ! alpha1( X, Y, Z ), apply( X, skol4( X, Y, Z ) ) = Z }.
% 2.17/2.58 { ! element( T, Y ), ! apply( X, T ) = Z, alpha1( X, Y, Z ) }.
% 2.17/2.58 { ! morphism( X, Z, T ), ! morphism( Y, T, U ), alpha6( X, Y, Z, T, U,
% 2.17/2.58 skol5( X, Y, Z, T, U ) ), alpha2( X, Z, skol5( X, Y, Z, T, U ) ), exact(
% 2.17/2.58 X, Y ) }.
% 2.17/2.58 { ! morphism( X, Z, T ), ! morphism( Y, T, U ), alpha6( X, Y, Z, T, U,
% 2.17/2.58 skol5( X, Y, Z, T, U ) ), ! element( skol5( X, Y, Z, T, U ), T ), ! apply
% 2.17/2.58 ( Y, skol5( X, Y, Z, T, U ) ) = zero( U ), exact( X, Y ) }.
% 2.17/2.58 { ! alpha6( X, Y, Z, T, U, W ), alpha4( Y, T, U, W ) }.
% 2.17/2.58 { ! alpha6( X, Y, Z, T, U, W ), ! alpha2( X, Z, W ) }.
% 2.17/2.58 { ! alpha4( Y, T, U, W ), alpha2( X, Z, W ), alpha6( X, Y, Z, T, U, W ) }.
% 2.17/2.58 { ! alpha4( X, Y, Z, T ), element( T, Y ) }.
% 2.17/2.58 { ! alpha4( X, Y, Z, T ), apply( X, T ) = zero( Z ) }.
% 2.17/2.58 { ! element( T, Y ), ! apply( X, T ) = zero( Z ), alpha4( X, Y, Z, T ) }.
% 2.17/2.58 { ! alpha2( X, Y, Z ), element( skol6( T, Y, U ), Y ) }.
% 2.17/2.58 { ! alpha2( X, Y, Z ), apply( X, skol6( X, Y, Z ) ) = Z }.
% 2.17/2.58 { ! element( T, Y ), ! apply( X, T ) = Z, alpha2( X, Y, Z ) }.
% 2.17/2.58 { ! commute( X, Y, Z, T ), ! morphism( X, U, W ), ! morphism( Y, W, V0 ), !
% 2.17/2.58 morphism( Z, U, V1 ), ! morphism( T, V1, V0 ), ! element( V2, U ), apply
% 2.17/2.58 ( Y, apply( X, V2 ) ) = apply( T, apply( Z, V2 ) ) }.
% 2.17/2.58 { ! morphism( X, U, W ), ! morphism( Y, W, V0 ), ! morphism( Z, U, V1 ), !
% 2.17/2.58 morphism( T, V1, V0 ), element( skol7( V2, V3, V4, V5, U ), U ), commute
% 2.17/2.58 ( X, Y, Z, T ) }.
% 2.17/2.58 { ! morphism( X, U, W ), ! morphism( Y, W, V0 ), ! morphism( Z, U, V1 ), !
% 2.17/2.58 morphism( T, V1, V0 ), ! apply( Y, apply( X, skol7( X, Y, Z, T, U ) ) ) =
% 2.17/2.58 apply( T, apply( Z, skol7( X, Y, Z, T, U ) ) ), commute( X, Y, Z, T ) }
% 2.17/2.58 .
% 2.17/2.58 { ! element( Y, X ), ! element( Z, X ), element( subtract( X, Y, Z ), X ) }
% 2.17/2.58 .
% 2.17/2.58 { ! element( Y, X ), subtract( X, Y, Y ) = zero( X ) }.
% 2.17/2.58 { ! element( Y, X ), ! element( Z, X ), subtract( X, Y, subtract( X, Y, Z )
% 2.17/2.58 ) = Z }.
% 2.17/2.58 { ! morphism( X, Y, Z ), ! element( T, Y ), ! element( U, Y ), apply( X,
% 2.17/2.58 subtract( Y, T, U ) ) = subtract( Z, apply( X, T ), apply( X, U ) ) }.
% 2.17/2.58 { ! injection_2( X ), ! morphism( X, Y, Z ), ! element( T, Y ), ! apply( X
% 2.17/2.58 , T ) = zero( Z ), T = zero( Y ) }.
% 2.17/2.58 { ! morphism( X, Y, Z ), element( skol8( T, Y, U ), Y ), injection_2( X ) }
% 2.17/2.58 .
% 2.17/2.58 { ! morphism( X, Y, Z ), ! skol8( T, Y, U ) = zero( Y ), injection_2( X ) }
% 2.17/2.58 .
% 2.17/2.58 { ! morphism( X, Y, Z ), apply( X, skol8( X, Y, Z ) ) = zero( Z ),
% 2.17/2.58 injection_2( X ) }.
% 2.17/2.58 { morphism( x, any1, any2 ) }.
% 2.17/2.58 { alpha5, injCputime limit exceeded (core dumped)
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