TSTP Solution File: NUM923+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM923+1 : TPTP v8.1.0. Released v5.3.0.
% 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 : Mon Jul 18 06:27:30 EDT 2022
% Result : Timeout 300.06s 300.42s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : NUM923+1 : TPTP v8.1.0. Released v5.3.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n026.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 Jul 5 04:02:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.69/1.10 *** allocated 10000 integers for termspace/termends
% 0.69/1.10 *** allocated 10000 integers for clauses
% 0.69/1.10 *** allocated 10000 integers for justifications
% 0.69/1.10 Bliksem 1.12
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 Automatic Strategy Selection
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 Clauses:
% 0.69/1.10
% 0.69/1.10 { is_bool( ord_less_eq_int( X, Y ) ) }.
% 0.69/1.10 { is_bool( produc262399358t_bool( X, Y, Z ) ) }.
% 0.69/1.10 { is_bool( twoSqu526106917sum2sq( X ) ) }.
% 0.69/1.10 { is_bool( hAPP_P603027463t_bool( X, Y ) ) }.
% 0.69/1.10 { plus_plus_int( times_times_int( minus_minus_int( X, times_times_int( Y, Z
% 0.69/1.10 ) ), T ), times_times_int( minus_minus_int( U, times_times_int( Y, W ) )
% 0.69/1.10 , V0 ) ) = minus_minus_int( plus_plus_int( times_times_int( X, T ),
% 0.69/1.10 times_times_int( U, V0 ) ), times_times_int( Y, plus_plus_int(
% 0.69/1.10 times_times_int( Z, T ), times_times_int( W, V0 ) ) ) ) }.
% 0.69/1.10 { minus_minus_int( times_times_int( X, Y ), times_times_int( Z, T ) ) =
% 0.69/1.10 plus_plus_int( times_times_int( X, minus_minus_int( Y, T ) ),
% 0.69/1.10 times_times_int( minus_minus_int( X, Z ), T ) ) }.
% 0.69/1.10 { ! plus_plus_int( times_times_int( X, Y ), Z ) = plus_plus_int(
% 0.69/1.10 times_times_int( T, Y ), U ), Z = plus_plus_int( times_times_int(
% 0.69/1.10 minus_minus_int( T, X ), Y ), U ) }.
% 0.69/1.10 { ! Z = plus_plus_int( times_times_int( minus_minus_int( T, X ), Y ), U ),
% 0.69/1.10 plus_plus_int( times_times_int( X, Y ), Z ) = plus_plus_int(
% 0.69/1.10 times_times_int( T, Y ), U ) }.
% 0.69/1.10 { ! plus_plus_int( times_times_int( X, Y ), Z ) = plus_plus_int(
% 0.69/1.10 times_times_int( T, Y ), U ), plus_plus_int( times_times_int(
% 0.69/1.10 minus_minus_int( X, T ), Y ), Z ) = U }.
% 0.69/1.10 { ! plus_plus_int( times_times_int( minus_minus_int( X, T ), Y ), Z ) = U,
% 0.69/1.10 plus_plus_int( times_times_int( X, Y ), Z ) = plus_plus_int(
% 0.69/1.10 times_times_int( T, Y ), U ) }.
% 0.69/1.10 { ! hBOOL( twoSqu526106917sum2sq( X ) ), twoSqu536811803sum2sq(
% 0.69/1.10 product_Pair_int_int( skol1( X ), skol6( X ) ) ) = X }.
% 0.69/1.10 { ! twoSqu536811803sum2sq( product_Pair_int_int( Y, Z ) ) = X, hBOOL(
% 0.69/1.10 twoSqu526106917sum2sq( X ) ) }.
% 0.69/1.10 { ! minus_minus_int( X, Y ) = Z, X = plus_plus_int( Z, Y ) }.
% 0.69/1.10 { times_times_int( X, minus_minus_int( Y, Z ) ) = minus_minus_int(
% 0.69/1.10 times_times_int( X, Y ), times_times_int( X, Z ) ) }.
% 0.69/1.10 { times_times_int( minus_minus_int( X, Y ), Z ) = minus_minus_int(
% 0.69/1.10 times_times_int( X, Z ), times_times_int( Y, Z ) ) }.
% 0.69/1.10 { times_times_int( X, plus_plus_int( Y, Z ) ) = plus_plus_int(
% 0.69/1.10 times_times_int( X, Y ), times_times_int( X, Z ) ) }.
% 0.69/1.10 { times_times_int( plus_plus_int( X, Y ), Z ) = plus_plus_int(
% 0.69/1.10 times_times_int( X, Z ), times_times_int( Y, Z ) ) }.
% 0.69/1.10 { plus_plus_int( minus_minus_int( X, Y ), Y ) = X }.
% 0.69/1.10 { times_times_int( times_times_int( X, Y ), Z ) = times_times_int( X,
% 0.69/1.10 times_times_int( Y, Z ) ) }.
% 0.69/1.10 { ! plus_plus_int( X, Z ) = plus_plus_int( Y, Z ), X = Y }.
% 0.69/1.10 { ! plus_plus_int( Z, X ) = plus_plus_int( Z, Y ), X = Y }.
% 0.69/1.10 { ! plus_plus_int( Z, X ) = plus_plus_int( Z, Y ), X = Y }.
% 0.69/1.10 { ! plus_plus_int( X, Y ) = plus_plus_int( Z, Y ), X = Z }.
% 0.69/1.10 { ! X = Z, plus_plus_int( X, Y ) = plus_plus_int( Z, Y ) }.
% 0.69/1.10 { ! plus_plus_int( X, Y ) = plus_plus_int( X, Z ), Y = Z }.
% 0.69/1.10 { ! Y = Z, plus_plus_int( X, Y ) = plus_plus_int( X, Z ) }.
% 0.69/1.10 { plus_plus_int( plus_plus_int( X, Y ), Z ) = plus_plus_int( X,
% 0.69/1.10 plus_plus_int( Y, Z ) ) }.
% 0.69/1.10 { ! minus_minus_int( X, Y ) = minus_minus_int( Z, T ), ! X = Y, Z = T }.
% 0.69/1.10 { ! minus_minus_int( X, Y ) = minus_minus_int( Z, T ), ! Z = T, X = Y }.
% 0.69/1.10 { times_times_int( times_times_int( X, Y ), Z ) = times_times_int( X,
% 0.69/1.10 times_times_int( Y, Z ) ) }.
% 0.69/1.10 { times_times_int( X, Y ) = times_times_int( Y, X ) }.
% 0.69/1.10 { plus_plus_int( plus_plus_int( X, Y ), Z ) = plus_plus_int( X,
% 0.69/1.10 plus_plus_int( Y, Z ) ) }.
% 0.69/1.10 { plus_plus_int( X, plus_plus_int( Y, Z ) ) = plus_plus_int( Y,
% 0.69/1.10 plus_plus_int( X, Z ) ) }.
% 0.69/1.10 { plus_plus_int( X, Y ) = plus_plus_int( Y, X ) }.
% 0.69/1.10 { plus_plus_int( times_times_int( X, Y ), plus_plus_int( times_times_int( Z
% 0.69/1.10 , Y ), T ) ) = plus_plus_int( times_times_int( plus_plus_int( X, Z ), Y )
% 0.69/1.10 , T ) }.
% 0.69/1.10 { times_times_int( plus_plus_int( X, Y ), Z ) = plus_plus_int(
% 0.69/1.10 times_times_int( X, Z ), times_times_int( Y, Z ) ) }.
% 0.69/1.10 { minus_minus_int( plus_plus_int( X, Y ), plus_plus_int( Z, T ) ) =
% 0.69/1.10 plus_plus_int( minus_minus_int( X, Z ), minus_minus_int( Y, T ) ) }.
% 0.69/1.10 { minus_minus_int( plus_plus_int( X, Y ), Y ) = X }.
% 0.69/1.10 { ! plus_plus_int( times_times_int( X, Y ), times_times_int( Z, T ) ) =
% 0.69/1.11 plus_plus_int( times_times_int( X, T ), times_times_int( Z, Y ) ), X = Z
% 0.69/1.11 , Y = T }.
% 0.69/1.11 { ! X = Z, plus_plus_int( times_times_int( X, Y ), times_times_int( Z, T )
% 0.69/1.11 ) = plus_plus_int( times_times_int( X, T ), times_times_int( Z, Y ) ) }
% 0.69/1.11 .
% 0.69/1.11 { ! Y = T, plus_plus_int( times_times_int( X, Y ), times_times_int( Z, T )
% 0.69/1.11 ) = plus_plus_int( times_times_int( X, T ), times_times_int( Z, Y ) ) }
% 0.69/1.11 .
% 0.69/1.11 { plus_plus_int( times_times_int( X, Y ), times_times_int( Z, Y ) ) =
% 0.69/1.11 times_times_int( plus_plus_int( X, Z ), Y ) }.
% 0.69/1.11 { times_times_int( plus_plus_int( X, Y ), Z ) = plus_plus_int(
% 0.69/1.11 times_times_int( X, Z ), times_times_int( Y, Z ) ) }.
% 0.69/1.11 { Z = T, X = Y, ! plus_plus_int( times_times_int( Z, X ), times_times_int(
% 0.69/1.11 T, Y ) ) = plus_plus_int( times_times_int( Z, Y ), times_times_int( T, X
% 0.69/1.11 ) ) }.
% 0.69/1.11 { plus_plus_int( times_times_int( Z, X ), times_times_int( T, Y ) ) =
% 0.69/1.11 plus_plus_int( times_times_int( Z, Y ), times_times_int( T, X ) ), ! Z =
% 0.69/1.11 T }.
% 0.69/1.11 { plus_plus_int( times_times_int( Z, X ), times_times_int( T, Y ) ) =
% 0.69/1.11 plus_plus_int( times_times_int( Z, Y ), times_times_int( T, X ) ), ! X =
% 0.69/1.11 Y }.
% 0.69/1.11 { times_times_int( X, plus_plus_int( Y, Z ) ) = plus_plus_int(
% 0.69/1.11 times_times_int( X, Y ), times_times_int( X, Z ) ) }.
% 0.69/1.11 { ! product_Pair_int_int( X, Y ) = product_Pair_int_int( Z, T ), X = Z }.
% 0.69/1.11 { ! product_Pair_int_int( X, Y ) = product_Pair_int_int( Z, T ), Y = T }.
% 0.69/1.11 { ! product_Pair_int_int( X, Y ) = product_Pair_int_int( Z, T ), X = Z }.
% 0.69/1.11 { ! product_Pair_int_int( X, Y ) = product_Pair_int_int( Z, T ), Y = T }.
% 0.69/1.11 { ! X = Z, ! Y = T, product_Pair_int_int( X, Y ) = product_Pair_int_int( Z
% 0.69/1.11 , T ) }.
% 0.69/1.11 { times_times_int( X, Y ) = times_times_int( Y, X ) }.
% 0.69/1.11 { times_times_int( X, times_times_int( Y, Z ) ) = times_times_int( Y,
% 0.69/1.11 times_times_int( X, Z ) ) }.
% 0.69/1.11 { times_times_int( X, times_times_int( Y, Z ) ) = times_times_int(
% 0.69/1.11 times_times_int( X, Y ), Z ) }.
% 0.69/1.11 { times_times_int( times_times_int( X, Y ), Z ) = times_times_int( X,
% 0.69/1.11 times_times_int( Y, Z ) ) }.
% 0.69/1.11 { times_times_int( times_times_int( X, Y ), Z ) = times_times_int(
% 0.69/1.11 times_times_int( X, Z ), Y ) }.
% 0.69/1.11 { times_times_int( times_times_int( X, Y ), times_times_int( Z, T ) ) =
% 0.69/1.11 times_times_int( X, times_times_int( Y, times_times_int( Z, T ) ) ) }.
% 0.69/1.11 { times_times_int( times_times_int( X, Y ), times_times_int( Z, T ) ) =
% 0.69/1.11 times_times_int( Z, times_times_int( times_times_int( X, Y ), T ) ) }.
% 0.69/1.11 { times_times_int( times_times_int( X, Y ), times_times_int( Z, T ) ) =
% 0.69/1.11 times_times_int( times_times_int( X, Z ), times_times_int( Y, T ) ) }.
% 0.69/1.11 { plus_plus_int( X, Y ) = plus_plus_int( Y, X ) }.
% 0.69/1.11 { plus_plus_int( X, plus_plus_int( Y, Z ) ) = plus_plus_int( Y,
% 0.69/1.11 plus_plus_int( X, Z ) ) }.
% 0.69/1.11 { plus_plus_int( X, plus_plus_int( Y, Z ) ) = plus_plus_int( plus_plus_int
% 0.69/1.11 ( X, Y ), Z ) }.
% 0.69/1.11 { plus_plus_int( plus_plus_int( X, Y ), Z ) = plus_plus_int( X,
% 0.69/1.11 plus_plus_int( Y, Z ) ) }.
% 0.69/1.11 { plus_plus_int( plus_plus_int( X, Y ), Z ) = plus_plus_int( plus_plus_int
% 0.69/1.11 ( X, Z ), Y ) }.
% 0.69/1.11 { plus_plus_int( plus_plus_int( X, Y ), plus_plus_int( Z, T ) ) =
% 0.69/1.11 plus_plus_int( plus_plus_int( X, Z ), plus_plus_int( Y, T ) ) }.
% 0.69/1.11 { ! hBOOL( hAPP_P603027463t_bool( X, skol2( X ) ) ), hBOOL(
% 0.69/1.11 hAPP_P603027463t_bool( X, product_Pair_int_int( Y, Z ) ) ) }.
% 0.69/1.11 { ! hBOOL( hAPP_P603027463t_bool( X, product_Pair_int_int( skol7( X ),
% 0.69/1.11 skol11( X ) ) ) ), hBOOL( hAPP_P603027463t_bool( X, Y ) ) }.
% 0.69/1.11 { ! hBOOL( hAPP_P603027463t_bool( X, Y ) ), hBOOL( hAPP_P603027463t_bool( X
% 0.69/1.11 , product_Pair_int_int( skol3( X ), skol8( X ) ) ) ) }.
% 0.69/1.11 { ! hBOOL( hAPP_P603027463t_bool( X, product_Pair_int_int( Y, Z ) ) ),
% 0.69/1.11 hBOOL( hAPP_P603027463t_bool( X, skol12( X ) ) ) }.
% 0.69/1.11 { X = product_Pair_int_int( skol4( X ), skol9( X ) ) }.
% 0.69/1.11 { X = product_Pair_int_int( skol5( X ), skol10( X ) ) }.
% 0.69/1.11 { ! hBOOL( hAPP_P603027463t_bool( X, product_Pair_int_int( Y, Z ) ) ),
% 0.69/1.11 hBOOL( produc262399358t_bool( X, Y, Z ) ) }.
% 0.69/1.11 { ! hBOOL( produc262399358t_bool( X, Y, Z ) ), hBOOL( hAPP_P603027463t_bool
% 0.69/1.11 ( X, product_Pair_int_int( Y, Z ) ) ) }.
% 0.69/1.11 { ! hBOOL( produc262399358t_bool( X, Y, Z ) ), hBOOL( hAPP_P603027463t_bool
% 0.69/1.11 ( X, product_Pair_int_int( Y, Z ) ) ) }.
% 2.26/2.65 { ! hBOOL( produc262399358t_bool( X, Y, Z ) ), hBOOL( hAPP_P603027463t_bool
% 2.26/2.65 ( X, product_Pair_int_int( Y, Z ) ) ) }.
% 2.26/2.65 { ! hBOOL( hAPP_P603027463t_bool( X, product_Pair_int_int( Y, Z ) ) ),
% 2.26/2.65 hBOOL( produc262399358t_bool( X, Y, Z ) ) }.
% 2.26/2.65 { ! hBOOL( ord_less_eq_int( plus_plus_int( times_times_int( X, Y ), Z ),
% 2.26/2.65 plus_plus_int( times_times_int( T, Y ), U ) ) ), hBOOL( ord_less_eq_int(
% 2.26/2.65 plus_plus_int( times_times_int( minus_minus_int( X, T ), Y ), Z ), U ) )
% 2.26/2.65 }.
% 2.26/2.65 { ! hBOOL( ord_less_eq_int( plus_plus_int( times_times_int( minus_minus_int
% 2.26/2.65 ( X, T ), Y ), Z ), U ) ), hBOOL( ord_less_eq_int( plus_plus_int(
% 2.26/2.65 times_times_int( X, Y ), Z ), plus_plus_int( times_times_int( T, Y ), U )
% 2.26/2.65 ) ) }.
% 2.26/2.65 { ! hBOOL( ord_less_eq_int( plus_plus_int( times_times_int( X, Y ), Z ),
% 2.26/2.65 plus_plus_int( times_times_int( T, Y ), U ) ) ), hBOOL( ord_less_eq_int(
% 2.26/2.65 Z, plus_plus_int( times_times_int( minus_minus_int( T, X ), Y ), U ) ) )
% 2.26/2.65 }.
% 2.26/2.65 { ! hBOOL( ord_less_eq_int( Z, plus_plus_int( times_times_int(
% 2.26/2.65 minus_minus_int( T, X ), Y ), U ) ) ), hBOOL( ord_less_eq_int(
% 2.26/2.65 plus_plus_int( times_times_int( X, Y ), Z ), plus_plus_int(
% 2.26/2.65 times_times_int( T, Y ), U ) ) ) }.
% 2.26/2.65 { ! hBOOL( ord_less_eq_int( X, Y ) ), hBOOL( ord_less_eq_int( plus_plus_int
% 2.26/2.65 ( Z, X ), plus_plus_int( Z, Y ) ) ) }.
% 2.26/2.65 { ! minus_minus_int( X, Y ) = minus_minus_int( Z, T ), ! hBOOL(
% 2.26/2.65 ord_less_eq_int( X, Y ) ), hBOOL( ord_less_eq_int( Z, T ) ) }.
% 2.26/2.65 { ! minus_minus_int( X, Y ) = minus_minus_int( Z, T ), ! hBOOL(
% 2.26/2.65 ord_less_eq_int( Z, T ) ), hBOOL( ord_less_eq_int( X, Y ) ) }.
% 2.26/2.65 { ! hBOOL( ord_less_eq_int( plus_plus_int( Z, X ), plus_plus_int( Z, Y ) )
% 2.26/2.65 ), hBOOL( ord_less_eq_int( X, Y ) ) }.
% 2.26/2.65 { ! hBOOL( ord_less_eq_int( plus_plus_int( X, Z ), plus_plus_int( Y, Z ) )
% 2.26/2.65 ), hBOOL( ord_less_eq_int( X, Y ) ) }.
% 2.26/2.65 { ! hBOOL( ord_less_eq_int( X, Y ) ), ! hBOOL( ord_less_eq_int( Z, T ) ),
% 2.26/2.65 hBOOL( ord_less_eq_int( plus_plus_int( X, Z ), plus_plus_int( Y, T ) ) )
% 2.26/2.65 }.
% 2.26/2.65 { ! hBOOL( ord_less_eq_int( X, Y ) ), hBOOL( ord_less_eq_int( plus_plus_int
% 2.26/2.65 ( Z, X ), plus_plus_int( Z, Y ) ) ) }.
% 2.26/2.65 { ! hBOOL( ord_less_eq_int( X, Y ) ), hBOOL( ord_less_eq_int( plus_plus_int
% 2.26/2.65 ( X, Z ), plus_plus_int( Y, Z ) ) ) }.
% 2.26/2.65 { ! hBOOL( ord_less_eq_int( plus_plus_int( X, Y ), plus_plus_int( X, Z ) )
% 2.26/2.65 ), hBOOL( ord_less_eq_int( Y, Z ) ) }.
% 2.26/2.65 { ! hBOOL( ord_less_eq_int( Y, Z ) ), hBOOL( ord_less_eq_int( plus_plus_int
% 2.26/2.65 ( X, Y ), plus_plus_int( X, Z ) ) ) }.
% 2.26/2.65 { ! hBOOL( ord_less_eq_int( plus_plus_int( X, Y ), plus_plus_int( Z, Y ) )
% 2.26/2.65 ), hBOOL( ord_less_eq_int( X, Z ) ) }.
% 2.26/2.65 { ! hBOOL( ord_less_eq_int( X, Z ) ), hBOOL( ord_less_eq_int( plus_plus_int
% 2.26/2.65 ( X, Y ), plus_plus_int( Z, Y ) ) ) }.
% 2.26/2.65 { hBOOL( ord_less_eq_int( X, X ) ) }.
% 2.26/2.65 { hBOOL( ord_less_eq_int( X, Y ) ), hBOOL( ord_less_eq_int( Y, X ) ) }.
% 2.26/2.65 { hBOOL( ord_less_eq_int( X, X ) ) }.
% 2.26/2.65 { hBOOL( ord_less_eq_int( X, Y ) ), hBOOL( ord_less_eq_int( Y, X ) ) }.
% 2.26/2.65 { ! hBOOL( ord_less_eq_int( X, Y ) ), ! hBOOL( ord_less_eq_int( Y, Z ) ),
% 2.26/2.65 hBOOL( ord_less_eq_int( X, Z ) ) }.
% 2.26/2.65 { ! hBOOL( ord_less_eq_int( X, Y ) ), ! hBOOL( ord_less_eq_int( Y, X ) ), X
% 2.26/2.65 = Y }.
% 2.26/2.65 { ! times_times_int( twoSqu536811803sum2sq( product_Pair_int_int( a, b ) )
% 2.26/2.65 , twoSqu536811803sum2sq( product_Pair_int_int( p, q ) ) ) =
% 2.26/2.65 twoSqu536811803sum2sq( product_Pair_int_int( plus_plus_int(
% 2.26/2.65 times_times_int( a, p ), times_times_int( b, q ) ), minus_minus_int(
% 2.26/2.65 times_times_int( a, q ), times_times_int( b, p ) ) ) ) }.
% 2.26/2.65
% 2.26/2.65 percentage equality = 0.584746, percentage horn = 0.971429
% 2.26/2.65 This is a problem with some equality
% 2.26/2.65
% 2.26/2.65
% 2.26/2.65
% 2.26/2.65 Options Used:
% 2.26/2.65
% 2.26/2.65 useres = 1
% 2.26/2.65 useparamod = 1
% 2.26/2.65 useeqrefl = 1
% 2.26/2.65 useeqfact = 1
% 2.26/2.65 usefactor = 1
% 2.26/2.65 usesimpsplitting = 0
% 2.26/2.65 usesimpdemod = 5
% 2.26/2.65 usesimpres = 3
% 2.26/2.65
% 2.26/2.65 resimpinuse = 1000
% 2.26/2.65 resimpclauses = 20000
% 2.26/2.65 substype = eqrewr
% 2.26/2.65 backwardsubs = 1
% 2.26/2.65 selectoldest = 5
% 2.26/2.65
% 2.26/2.65 litorderings [0] = split
% 2.26/2.65 litorderings [1] = extend the termordering, first sorting on arguments
% 2.26/2.65
% 2.26/2.65 termordering = kbo
% 2.26/2.65
% 2.26/2.65 litapriori = 0
% 2.26/2.65 termapriori = 1
% 2.26/2.65 litaposteriori = 0
% 2.26/2.65 termaposteriori = 0
% 2.26/2.65 demodaposteriori = 0
% 2.26/2.65 ordereqreflfact = 0
% 2.26/2.65
% 2.26/2.65 litselect = negoCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------