TSTP Solution File: GEO508+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO508+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 02:54:26 EDT 2022
% Result : Timeout 300.05s 300.40s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO508+1 : TPTP v8.1.0. Released v7.0.0.
% 0.08/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sat Jun 18 04:16:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.82/1.20 *** allocated 10000 integers for termspace/termends
% 0.82/1.20 *** allocated 10000 integers for clauses
% 0.82/1.20 *** allocated 10000 integers for justifications
% 0.82/1.20 Bliksem 1.12
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 Automatic Strategy Selection
% 0.82/1.20
% 0.82/1.20 *** allocated 15000 integers for termspace/termends
% 0.82/1.20 *** allocated 22500 integers for termspace/termends
% 0.82/1.20
% 0.82/1.20 Clauses:
% 0.82/1.20
% 0.82/1.20 { s_e( X, Y, Y, X ) }.
% 0.82/1.20 { ! s_e( X, Y, Z, T ), ! s_e( X, Y, U, W ), s_e( Z, T, U, W ) }.
% 0.82/1.20 { ! s_e( X, Y, Z, Z ), X = Y }.
% 0.82/1.20 { s_t( X, Y, ext( X, Y, Z, T ) ) }.
% 0.82/1.20 { s_e( Y, ext( X, Y, Z, T ), Z, T ) }.
% 0.82/1.20 { ! s_e( X, Y, Z, T ), ! s_e( Y, U, T, W ), ! s_e( X, V0, Z, V1 ), ! s_e( Y
% 0.82/1.20 , V0, T, V1 ), ! s_t( X, Y, U ), ! s_t( Z, T, W ), X = Y, s_e( U, V0, W,
% 0.82/1.20 V1 ) }.
% 0.82/1.20 { ! s_t( X, Y, X ), X = Y }.
% 0.82/1.20 { ! s_t( X, Y, Z ), ! s_t( T, U, Z ), s_t( Y, ip( X, Y, Z, T, U ), T ) }.
% 0.82/1.20 { ! s_t( X, Y, Z ), ! s_t( T, U, Z ), s_t( U, ip( X, Y, Z, T, U ), X ) }.
% 0.82/1.20 { ! s_t( alpha, beta, gamma ) }.
% 0.82/1.20 { ! s_t( beta, gamma, alpha ) }.
% 0.82/1.20 { ! s_t( gamma, alpha, beta ) }.
% 0.82/1.20 { s_e( X, Y, X, Y ) }.
% 0.82/1.20 { ! s_e( X, Y, Z, T ), s_e( Z, T, X, Y ) }.
% 0.82/1.20 { ! s_e( X, Y, Z, T ), ! s_e( Z, T, U, W ), s_e( X, Y, U, W ) }.
% 0.82/1.20 { ! s_e( X, Y, Z, T ), s_e( Y, X, Z, T ) }.
% 0.82/1.20 { ! s_e( X, Y, Z, T ), s_e( X, Y, T, Z ) }.
% 0.82/1.20 { s_e( X, X, Y, Y ) }.
% 0.82/1.20 { ! s_t( X, Y, Z ), ! s_t( T, U, W ), ! s_e( X, Y, T, U ), ! s_e( Y, Z, U,
% 0.82/1.20 W ), s_e( X, Z, T, W ) }.
% 0.82/1.20 { X = Y, ! s_t( X, Y, Z ), ! s_e( Y, Z, T, U ), Z = ext( X, Y, T, U ) }.
% 0.82/1.20 { ! s_e( X, Y, Z, Z ), X = Y }.
% 0.82/1.20 { ! s_e( X, Y, Z, T ), s_e( Y, X, T, Z ) }.
% 0.82/1.20 { ! s_t( X, Y, Z ), ! s_t( T, U, W ), ! s_e( X, Y, U, W ), ! s_e( Y, Z, T,
% 0.82/1.20 U ), s_e( X, Z, T, W ) }.
% 0.82/1.20 { s_t( X, Y, Y ) }.
% 0.82/1.20 { ! s_t( X, Y, Z ), s_t( Z, Y, X ) }.
% 0.82/1.20 { s_t( X, X, Y ) }.
% 0.82/1.20 { ! s_t( X, Y, Z ), ! s_t( Y, X, Z ), X = Y }.
% 0.82/1.20 { ! s_t( X, Y, Z ), ! s_t( Y, T, Z ), s_t( X, Y, T ) }.
% 0.82/1.20 { ! s_t( X, Y, Z ), ! s_t( X, Z, T ), s_t( Y, Z, T ) }.
% 0.82/1.20 { ! s_t( X, Y, Z ), ! s_t( Y, Z, T ), Y = Z, s_t( X, Z, T ) }.
% 0.82/1.20 { ! s_t( X, Y, Z ), ! s_t( Y, T, Z ), s_t( X, T, Z ) }.
% 0.82/1.20 { ! s_t( X, Y, Z ), ! s_t( X, Z, T ), s_t( X, Y, T ) }.
% 0.82/1.20 { ! s_t( X, Y, Z ), ! s_t( Y, Z, T ), Y = Z, s_t( X, Y, T ) }.
% 0.82/1.20 { ! alpha = beta }.
% 0.82/1.20 { ! beta = gamma }.
% 0.82/1.20 { ! alpha = gamma }.
% 0.82/1.20 { s_t( X, Y, ext( X, Y, alpha, gamma ) ) }.
% 0.82/1.20 { ! X = ext( Y, X, alpha, gamma ) }.
% 0.82/1.20 { ! s_t( X, Y, Z ), ! s_t( T, U, Z ), ! s_t( X, W, T ), s_t( W, crossbar( X
% 0.82/1.20 , Y, Z, T, U, W ), Z ) }.
% 0.82/1.20 { ! s_t( X, Y, Z ), ! s_t( T, U, Z ), ! s_t( X, W, T ), s_t( Y, crossbar( X
% 0.82/1.20 , Y, Z, T, U, W ), U ) }.
% 0.82/1.20 { ! s_ifs( U, X, W, Y, V0, Z, V1, T ), s_e( X, Y, Z, T ) }.
% 0.82/1.20 { ! s_t( X, Y, Z ), ! s_t( T, U, W ), ! s_e( X, Z, T, W ), ! s_e( Y, Z, U,
% 0.82/1.20 W ), s_e( X, Y, T, U ) }.
% 0.82/1.20 { ! s_t( X, Y, Z ), ! s_e( X, Z, T, U ), s_t( T, insert( X, Y, T, U ), U )
% 0.82/1.20 }.
% 0.82/1.20 { ! s_t( X, Y, Z ), ! s_e( X, Z, T, U ), s_e3( X, Y, Z, T, insert( X, Y, T
% 0.82/1.20 , U ), U ) }.
% 0.82/1.20 { ! s_t( X, Y, Z ), ! s_e3( X, Y, Z, T, U, W ), s_t( T, U, W ) }.
% 0.82/1.20 { ! s_col( X, Y, Z ), s_col( Y, Z, X ) }.
% 0.82/1.20 { ! s_col( X, Y, Z ), s_col( Z, X, Y ) }.
% 0.82/1.20 { ! s_col( X, Y, Z ), s_col( Z, Y, X ) }.
% 0.82/1.20 { ! s_col( X, Y, Z ), s_col( Y, X, Z ) }.
% 0.82/1.20 { ! s_col( X, Y, Z ), s_col( X, Z, Y ) }.
% 0.82/1.20 { s_col( X, X, Y ) }.
% 0.82/1.20 { s_col( X, Y, X ) }.
% 0.82/1.20 { ! s_col( X, Y, Z ), ! s_e3( X, Y, Z, T, U, W ), s_col( T, U, W ) }.
% 0.82/1.20 { ! s_col( X, Y, Z ), ! s_e( X, Y, T, U ), s_e3( X, Y, Z, T, U, insert5( X
% 0.82/1.20 , Y, Z, T, U ) ) }.
% 0.82/1.20 { ! s_fs( X, Y, Z, T, V0, V1, U, W ), X = Y, s_e( Z, T, U, W ) }.
% 0.82/1.20 { X = Y, ! s_col( X, Y, Z ), ! s_e( X, T, X, U ), ! s_e( Y, T, Y, U ), s_e
% 0.82/1.20 ( Z, T, Z, U ) }.
% 0.82/1.20 { X = Y, ! s_col( X, Y, Z ), ! s_e( X, Z, X, T ), ! s_e( Y, Z, Y, T ), Z =
% 0.82/1.20 T }.
% 0.82/1.20 { ! s_t( X, Y, Z ), ! s_e( X, Y, X, T ), ! s_e( Z, Y, Z, T ), Y = T }.
% 0.82/1.20 { X = Y, ! s_t( X, Y, Z ), ! s_t( X, Y, T ), s_t( X, Z, T ), s_t( X, T, Z )
% 0.82/1.20 }.
% 0.82/1.20 { X = Y, ! s_t( X, Y, Z ), ! s_t( X, Y, T ), s_t( Y, Z, T ), s_t( Y, T, Z )
% 0.82/1.20 }.
% 0.82/1.20 { ! s_t( X, Y, Z ), ! s_t( X, T, Z ), s_t( X, Y, T ), s_t( X, T, Y ) }.
% 0.82/1.20 { ! le( X, Y, Z, T ), s_t( X, Y, ins( Z, T, X, Y ) ) }.
% 0.82/1.20 { ! le( X, Y, Z, T ), s_e( X, ins( Z, T, X, Y ), Z, T ) }.
% 0.82/1.20 { ! le( X, Y, Z, T ), ins( Z, T, X, Y ) = ext( X, Y, insert( X, Y, Z, T ),
% 0.82/1.20 T ) }.
% 0.82/1.20 { le( X, Y, Z, T ), ! s_t( X, Y, U ), ! s_e( X, U, Z, T ) }.
% 0.82/1.20 { ! le( X, Y, Z, T ), ! s_e( X, Y, U, W ), ! s_e( Z, T, V0, V1 ), le( U, W
% 0.82/1.20 , V0, V1 ) }.
% 0.82/1.20 { le( X, Y, X, Y ) }.
% 0.82/1.20 { ! le( X, Y, Z, T ), ! le( Z, T, U, W ), le( X, Y, U, W ) }.
% 0.82/1.20 { ! le( X, Y, Z, T ), ! le( Z, T, X, Y ), s_e( X, Y, Z, T ) }.
% 0.82/1.20 { le( X, Y, Z, T ), le( Z, T, X, Y ) }.
% 0.82/1.20 { le( X, X, Y, Z ) }.
% 0.82/1.20 { ! s_col( X, Y, Z ), ! s_t( X, Y, Z ), le( X, Y, X, Z ) }.
% 0.82/1.20 { ! s_col( X, Y, Z ), ! s_t( X, Y, Z ), le( Y, Z, X, Z ) }.
% 0.82/1.20 { ! s_t( X, Y, Z ), ! s_e( X, Z, X, Y ), Z = Y }.
% 0.82/1.20 { ! s_col( X, Y, Z ), s_t( X, Y, Z ), ! le( X, Y, X, Z ), ! le( Y, Z, X, Z
% 0.82/1.20 ) }.
% 0.82/1.20 { X = Y, Z = Y, T = Y, ! s_t( X, Y, T ), ! s_t( Z, Y, T ), sameside( X, Y,
% 0.82/1.20 Z ) }.
% 0.82/1.20 { X = Y, Z = Y, T = Y, ! s_t( X, Y, T ), s_t( Z, Y, T ), ! sameside( X, Y,
% 0.82/1.20 Z ) }.
% 0.82/1.20 { ! sameside( X, Y, Z ), ! X = Y }.
% 0.82/1.20 { ! sameside( X, Y, Z ), ! Z = Y }.
% 0.82/1.20 { ! sameside( X, Y, Z ), ! c63( X, Y, Z ) = Y }.
% 0.82/1.20 { ! sameside( X, Y, Z ), s_t( X, Y, c63( X, Y, Z ) ) }.
% 0.82/1.20 { ! sameside( X, Y, Z ), s_t( Z, Y, c63( X, Y, Z ) ) }.
% 0.82/1.20 { sameside( X, Y, Z ), X = Y, Z = Y, T = Y, ! s_t( X, Y, T ), ! s_t( Z, Y,
% 0.82/1.20 T ) }.
% 0.82/1.20 { ! sameside( X, Y, Z ), s_col( X, Y, Z ) }.
% 0.82/1.20 { ! sameside( X, Y, Z ), ! s_t( X, Y, Z ) }.
% 0.82/1.20 { sameside( X, Y, Z ), ! s_col( X, Y, Z ), s_t( X, Y, Z ) }.
% 0.82/1.20 { X = Y, sameside( X, Y, X ) }.
% 0.82/1.20 { ! sameside( X, Y, Z ), sameside( Z, Y, X ) }.
% 0.82/1.20 { ! sameside( X, Y, Z ), ! sameside( Z, Y, T ), sameside( X, Y, T ) }.
% 0.82/1.20 { X = Y, Z = T, sameside( insert( Z, T, Y, X ), Y, X ) }.
% 0.82/1.20 { X = Y, Z = T, s_e( Y, insert( Z, T, Y, X ), Z, T ) }.
% 0.82/1.20 { X = Y, Z = T, ! sameside( U, Y, X ), ! s_e( Y, U, Z, T ), ! sameside( W,
% 0.82/1.20 Y, X ), ! s_e( Y, W, Z, T ), U = W }.
% 0.82/1.20 { ! sameside( X, Y, Z ), ! le( Y, X, Y, Z ), s_t( Y, X, Z ) }.
% 0.82/1.20 { ! sameside( X, Y, Z ), le( Y, X, Y, Z ), ! s_t( Y, X, Z ) }.
% 0.82/1.20 { X = Y, X = Z, ! s_t( Y, X, Z ), ! s_col( T, X, Y ), T = X, sameside( T, X
% 0.82/1.20 , Y ), sameside( T, X, Z ) }.
% 0.82/1.20 { X = Y, X = Z, ! s_t( Y, X, Z ), ! sameside( T, X, Y ), s_col( T, X, Y ) }
% 0.82/1.20 .
% 0.82/1.20 { X = Y, X = Z, ! s_t( Y, X, Z ), ! sameside( T, X, Z ), s_col( T, X, Y ) }
% 0.82/1.20 .
% 0.82/1.20 { X = Y, X = Z, ! s_t( Y, X, Z ), ! T = X, s_col( T, X, Y ) }.
% 0.82/1.20 { X = Y, ! s_t( Z, X, Y ), ! s_t( T, X, Y ), s_t( T, Z, Y ), s_t( Z, T, Y )
% 0.82/1.20 }.
% 0.82/1.20 { X = Y, Z = X, ! s_col( X, Y, Z ), ! s_col( X, Y, T ), s_col( X, Z, T ) }
% 0.82/1.20 .
% 0.82/1.20 { X = Y, s_col( X, Y, X ) }.
% 0.82/1.20 { X = Y, ! s_col( X, Y, Z ), s_col( Y, X, Z ) }.
% 0.82/1.20 { X = Y, Z = T, ! s_col( Z, T, X ), ! s_col( Z, T, Y ), ! s_col( Z, T, U )
% 0.82/1.20 , s_col( X, Y, U ) }.
% 0.82/1.20 { X = Y, Z = T, ! s_col( X, Y, U ), ! s_col( Z, T, U ), ! s_col( X, Y, W )
% 0.82/1.20 , ! s_col( Z, T, W ), U = W, ! s_col( X, Y, V0 ), s_col( Z, T, V0 ) }.
% 0.82/1.20 { X = Y, ! s_col( X, Y, pointOffLine( X, Y ) ) }.
% 0.82/1.20 { ! sameside( X, Y, Z ), ! sameside( T, U, W ), ! s_e( Y, X, U, T ), ! s_e
% 0.82/1.20 ( Y, Z, U, W ), s_e( X, Z, T, W ) }.
% 0.82/1.20 { ! s_m( X, Y, Z ), s_m( Z, Y, X ) }.
% 0.82/1.20 { ! s_m( X, Y, X ), Y = X }.
% 0.82/1.20 { s_m( X, Y, X ), ! Y = X }.
% 0.82/1.20 { s_m( X, Y, s( Y, X ) ) }.
% 0.82/1.20 { ! s_m( X, Y, Z ), ! s_m( X, Y, T ), Z = T }.
% 0.82/1.20 { ! s_m( X, Y, Z ), Z = s( Y, X ) }.
% 0.82/1.20 { s( X, s( X, Y ) ) = Y }.
% 0.82/1.20 { ! s( X, Y ) = Z, ! s( X, T ) = Z, Y = T }.
% 0.82/1.20 { ! s( Z, X ) = s( Z, Y ), X = Y }.
% 0.82/1.20 { ! s( X, Y ) = Y, Y = X }.
% 0.82/1.20 { s( X, Y ) = Y, ! Y = X }.
% 0.82/1.20 { s_e( X, Y, s( Z, X ), s( Z, Y ) ) }.
% 0.82/1.20 { ! s_t( X, Y, Z ), s_t( s( T, X ), s( T, Y ), s( T, Z ) ) }.
% 0.82/1.20 { s_t( X, Y, Z ), ! s_t( s( T, X ), s( T, Y ), s( T, Z ) ) }.
% 0.82/1.20 { ! s_e( X, Y, Z, T ), s_e( s( U, X ), s( U, Y ), s( U, Z ), s( U, T ) ) }
% 0.82/1.20 .
% 0.82/1.20 { s_e( X, Y, Z, T ), ! s_e( s( U, X ), s( U, Y ), s( U, Z ), s( U, T ) ) }
% 0.82/1.20 .
% 0.82/1.20 { ! s_m( X, Y, Z ), ! s_m( X, T, Z ), Y = T }.
% 0.82/1.20 { ! s( X, Z ) = s( Y, Z ), X = Y }.
% 0.82/1.20 { ! s( X, s( Y, Z ) ) = s( Y, s( X, Z ) ), X = Y }.
% 0.82/1.20 { ! s_col( X, Y, Z ), ! s_e( Y, X, Y, Z ), X = Z, s_m( X, Y, Z ) }.
% 0.82/1.20 { s_col( X, Y, Z ), Y = T, ! s_e( X, Y, Z, T ), ! s_e( Y, Z, T, X ), !
% 0.82/1.20 s_col( X, U, Z ), ! s_col( Y, U, T ), s_m( X, U, Z ) }.
% 0.82/1.20 { ! s_kf( X, Y, W, Z, V0, T, U ), s_t( Y, Z, T ), ! le( Z, X, Z, U ) }.
% 0.82/1.20 { ! s_kf( T, X, U, Y, W, Z, V0 ), s_t( X, Y, Z ) }.
% 0.82/1.20 { ! s_t( X, Y, Z ), ! s_t( T, Y, U ), ! s_e( Y, X, Y, T ), ! s_e( Y, Z, Y,
% 0.82/1.20 U ), ! s_m( X, W, T ), ! s_m( Z, V0, U ), s_t( W, Y, V0 ) }.
% 0.82/1.20 { ! s_e( X, Y, X, Z ), s_m( Y, isomidpoint( Y, Z, X ), Z ) }.
% 0.82/1.20 { ! s_r( X, Y, Z ), s_r( Z, Y, X ) }.
% 0.82/1.20 { ! s_r( X, Y, Z ), X = Y, ! s_col( Y, X, T ), s_r( T, Y, Z ) }.
% 0.82/1.20 { ! s_r( X, Y, Z ), s_r( X, Y, s( Y, Z ) ) }.
% 0.82/1.20 { s_r( X, Y, Y ) }.
% 0.82/1.20 { ! s_r( X, Y, Z ), ! s_r( T, Y, Z ), ! s_t( X, Z, T ), Y = Z }.
% 0.82/1.20 { ! s_r( X, Y, Z ), ! s_r( X, Z, Y ), Y = Z }.
% 0.82/1.20 { ! s_r( X, Y, X ), X = Y }.
% 0.82/1.20 { ! s_r( X, Y, Z ), ! s_col( X, Y, Z ), X = Y, Z = Y }.
% 0.82/1.20 { ! s_r( X, Y, Z ), ! s_e3( X, Y, Z, T, U, W ), s_r( T, U, W ) }.
% 0.82/1.20 { ! perpAt( X, Y, Z, T, U ), perpAt( T, U, Z, X, Y ) }.
% 0.82/1.20 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.82/1.20 { ! perpAt( X, Y, Z, T, U ), ! X = Y }.
% 0.82/1.20 { ! perpAt( X, Y, Z, T, U ), ! T = U }.
% 0.82/1.20 { ! perpAt( X, Y, Z, T, U ), s_col( T, U, Z ) }.
% 0.82/1.20 { ! perpAt( X, Y, Z, T, U ), s_col( X, Y, Z ) }.
% 0.82/1.20 { ! perpAt( X, Y, Z, T, U ), s_col( X, Y, f813( X, Y, T, U, Z ) ) }.
% 0.82/1.20 { ! perpAt( X, Y, Z, T, U ), s_col( T, U, g813( X, Y, T, U, Z ) ) }.
% 0.82/1.20 { ! perpAt( X, Y, Z, T, U ), ! Z = f813( X, Y, T, U, Z ) }.
% 0.82/1.20 { ! perpAt( X, Y, Z, T, U ), ! Z = g813( X, Y, T, U, Z ) }.
% 0.82/1.20 { ! perpAt( X, Y, Z, T, U ), s_r( f813( X, Y, T, U, Z ), Z, g813( X, Y, T,
% 0.82/1.20 U, Z ) ) }.
% 0.82/1.20 { X = Y, Z = T, ! s_col( Z, T, U ), ! s_col( X, Y, U ), ! s_col( X, Y, W )
% 0.82/1.20 , ! s_col( Z, T, V0 ), U = W, U = V0, ! s_r( W, U, V0 ), perpAt( X, Y, U
% 0.82/1.20 , Z, T ) }.
% 0.82/1.20 { ! perp( X, Y, Z, T ), ! s_col( X, Y, Z ), ! s_col( X, Y, T ) }.
% 0.82/1.20 { ! perp( X, Y, Z, T ), ! s_col( X, Y, U ), ! s_col( Z, T, U ), perpAt( X,
% 0.82/1.20 Y, U, Z, T ) }.
% 0.82/1.20 { ! perpAt( X, Y, Z, T, U ), Z = il( X, Y, T, U ) }.
% 0.82/1.20 { X = Y, ! s_col( X, Y, Z ), ! perp( X, Y, T, Z ), perpAt( X, Y, Z, T, Z )
% 0.82/1.20 }.
% 0.82/1.20 { X = Y, ! s_col( X, Y, Z ), ! s_col( X, Y, T ), T = Z, ! s_col( X, Y, U )
% 0.82/1.20 , ! perp( X, Y, U, Z ) }.
% 0.82/1.20 { X = Y, ! s_col( X, Y, Z ), ! s_col( X, Y, T ), T = Z, s_r( U, Z, T ), !
% 0.82/1.20 perp( X, Y, U, Z ) }.
% 0.82/1.20 { X = Y, ! s_col( X, Y, Z ), ! s_col( X, Y, T ), T = Z, perp( X, Y, U, Z )
% 0.82/1.20 , s_col( X, Y, U ), ! s_r( U, Z, T ) }.
% 0.82/1.20 { s_col( X, Y, Z ), ! s_col( X, Y, T ), ! s_col( X, Y, U ), ! perp( X, Y, Z
% 0.82/1.20 , T ), ! perp( X, Y, Z, U ), T = U }.
% 0.82/1.20 { s_col( X, Y, Z ), s_col( X, Y, foot( X, Y, Z ) ) }.
% 0.82/1.20 { s_col( X, Y, Z ), perp( X, Y, Z, foot( X, Y, Z ) ) }.
% 0.82/1.20 { s_r( skol1, skol2, skol3 ) }.
% 0.82/1.20 { s_m( s( skol1, skol3 ), skol4, s( skol2, skol3 ) ) }.
% 0.82/1.20 { ! s_r( skol2, skol1, skol4 ) }.
% 0.82/1.20 { insert( X, Y, Z, T ) = ext( ext( T, Z, alpha, gamma ), Z, X, Y ) }.
% 0.82/1.20 { ! s_afs( X, Y, Z, T, U, W, V0, V1 ), s_t( X, Y, Z ) }.
% 0.82/1.20 { ! s_afs( X, Y, Z, T, U, W, V0, V1 ), s_t( U, W, V0 ) }.
% 0.82/1.20 { ! s_afs( X, Y, Z, T, U, W, V0, V1 ), s_e( X, Y, U, W ) }.
% 0.82/1.20 { ! s_afs( X, Y, Z, T, U, W, V0, V1 ), s_e( Y, Z, W, V0 ) }.
% 0.82/1.20 { ! s_afs( X, Y, Z, T, U, W, V0, V1 ), s_e( X, T, U, V1 ) }.
% 0.82/1.20 { ! s_afs( X, Y, Z, T, U, W, V0, V1 ), s_e( Y, T, W, V1 ) }.
% 0.82/1.20 { ! s_t( X, Y, Z ), ! s_t( U, W, V0 ), ! s_e( X, Y, U, W ), ! s_e( Y, Z, W
% 0.82/1.20 , V0 ), ! s_e( X, T, U, V1 ), ! s_e( Y, T, W, V1 ), s_afs( X, Y, Z, T, U
% 0.82/1.20 , W, V0, V1 ) }.
% 0.82/1.20 { ! s_ifs( X, Y, Z, T, U, W, V0, V1 ), s_t( X, Y, Z ) }.
% 0.82/1.20 { ! s_ifs( X, Y, Z, T, U, W, V0, V1 ), s_t( U, W, V0 ) }.
% 0.82/1.20 { ! s_ifs( X, Y, Z, T, U, W, V0, V1 ), s_e( X, Z, U, V0 ) }.
% 0.82/1.20 { ! s_ifs( X, Y, Z, T, U, W, V0, V1 ), s_e( Y, Z, W, V0 ) }.
% 0.82/1.20 { ! s_ifs( X, Y, Z, T, U, W, V0, V1 ), s_e( X, T, U, V1 ) }.
% 0.82/1.20 { ! s_ifs( X, Y, Z, T, U, W, V0, V1 ), s_e( Z, T, V0, V1 ) }.
% 0.82/1.20 { ! s_t( X, Y, Z ), ! s_t( U, W, V0 ), ! s_e( X, Z, U, V0 ), ! s_e( Y, Z, W
% 0.82/1.20 , V0 ), ! s_e( X, T, U, V1 ), ! s_e( Z, T, V0, V1 ), s_ifs( X, Y, Z, T, U
% 0.82/1.20 , W, V0, V1 ) }.
% 0.82/1.20 { ! s_e3( X, Y, Z, T, U, W ), s_e( X, Y, T, U ) }.
% 0.82/1.20 { ! s_e3( X, Y, Z, T, U, W ), s_e( X, Z, T, W ) }.
% 0.82/1.20 { ! s_e3( X, Y, Z, T, U, W ), s_e( Y, Z, U, W ) }.
% 0.82/1.20 { ! s_e( X, Y, T, U ), ! s_e( X, Z, T, W ), ! s_e( Y, Z, U, W ), s_e3( X, Y
% 0.82/1.20 , Z, T, U, W ) }.
% 0.82/1.20 { ! s_col( X, Y, Z ), s_t( X, Y, Z ), s_t( Y, Z, X ), s_t( Z, X, Y ) }.
% 0.82/1.20 { s_col( X, Y, Z ), ! s_t( X, Y, Z ) }.
% 0.82/1.20 { s_col( X, Y, Z ), ! s_t( Y, Z, X ) }.
% 0.82/1.20 { s_col( X, Y, Z ), ! s_t( Z, X, Y ) }.
% 0.82/1.20 { ! s_fs( X, Y, Z, T, U, W, V0, V1 ), s_col( X, Y, Z ) }.
% 0.82/1.20 { ! s_fs( X, Y, Z, T, U, W, V0, V1 ), s_e3( X, Y, Z, U, W, V0 ) }.
% 0.82/1.20 { ! s_fs( X, Y, Z, T, U, W, V0, V1 ), s_e( X, T, U, V1 ) }.
% 0.82/1.20 { ! s_fs( X, Y, Z, T, U, W, V0, V1 ), s_e( Y, T, W, V1 ) }.
% 0.82/1.20 { ! s_col( X, Y, Z ), ! s_e3( X, Y, Z, U, W, V0 ), ! s_e( X, T, U, V1 ), !
% 0.82/1.20 s_e( Y, T, W, V1 ), s_fs( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.82/1.20 { ! le( X, Y, Z, T ), s_t( Z, insert( X, Y, Z, T ), T ) }.
% 0.82/1.20 { ! le( X, Y, Z, T ), s_e( X, Y, Z, insert( X, Y, Z, T ) ) }.
% 0.82/1.20 { ! s_t( Z, U, T ), ! s_e( X, Y, Z, U ), le( X, Y, Z, T ) }.
% 17.62/18.00 { ! sameside( X, Y, Z ), ! X = Y }.
% 17.62/18.00 { ! sameside( X, Y, Z ), ! Z = Y }.
% 17.62/18.00 { ! sameside( X, Y, Z ), s_t( Y, X, Z ), s_t( Y, Z, X ) }.
% 17.62/18.00 { ! s_t( Y, X, Z ), X = Y, xb = Y, sameside( X, Y, Z ) }.
% 17.62/18.00 { ! s_t( Y, Z, X ), X = Y, Z = Y, sameside( X, Y, Z ) }.
% 17.62/18.00 { ! s_m( X, Y, Z ), s_t( X, Y, Z ) }.
% 17.62/18.00 { ! s_m( X, Y, Z ), s_e( Y, X, Y, Z ) }.
% 17.62/18.00 { ! s_t( X, Y, Z ), ! s_e( Y, X, Y, Z ), s_m( X, Y, Z ) }.
% 17.62/18.00 { ! s_kf( X, Y, Z, T, U, W, V0 ), s_t( X, T, V0 ) }.
% 17.62/18.00 { ! s_kf( X, Y, Z, T, U, W, V0 ), s_t( Z, T, U ) }.
% 17.62/18.00 { ! s_kf( X, Y, Z, T, U, W, V0 ), s_e( T, X, T, Z ) }.
% 17.62/18.00 { ! s_kf( X, Y, Z, T, U, W, V0 ), s_e( T, V0, T, U ) }.
% 17.62/18.00 { ! s_kf( X, Y, Z, T, U, W, V0 ), s_m( X, Y, Z ) }.
% 17.62/18.00 { ! s_kf( X, Y, Z, T, U, W, V0 ), s_m( V0, W, U ) }.
% 17.62/18.00 { ! s_t( X, T, V0 ), ! s_t( Z, T, U ), ! s_e( T, X, T, Z ), ! s_e( T, V0, T
% 17.62/18.00 , U ), ! s_m( X, Y, Z ), ! s_m( V0, W, U ), s_kf( X, Y, Z, T, U, W, V0 )
% 17.62/18.00 }.
% 17.62/18.00 { ! s_r( X, Y, Z ), s_e( X, Z, X, s( Y, Z ) ) }.
% 17.62/18.00 { s_r( X, Y, Z ), ! s_e( X, Z, X, s( Y, Z ) ) }.
% 17.62/18.00 { ! perpAt( X, Y, Z, T, U ), s_col( X, Y, Z ) }.
% 17.62/18.00 { ! perpAt( X, Y, Z, T, U ), s_col( T, U, Z ) }.
% 17.62/18.00 { ! perpAt( X, Y, Z, T, U ), ! X = Y }.
% 17.62/18.00 { ! perpAt( X, Y, Z, T, U ), ! T = U }.
% 17.62/18.00 { ! perpAt( X, Y, Z, T, U ), ! s_col( X, Y, W ), ! s_col( T, U, V0 ), s_r(
% 17.62/18.00 W, Z, V0 ) }.
% 17.62/18.00 { perpAt( X, Y, Z, T, U ), X = Y, T = U, ! s_col( X, Y, Z ), ! s_col( T, U
% 17.62/18.00 , Z ), s_col( X, Y, f811( X, Y, T, U, Z ) ) }.
% 17.62/18.00 { perpAt( X, Y, Z, T, U ), X = Y, T = U, ! s_col( X, Y, Z ), ! s_col( T, U
% 17.62/18.00 , Z ), s_col( T, U, g811( X, Y, T, U, Z ) ) }.
% 17.62/18.00 { perpAt( X, Y, Z, T, U ), X = Y, T = U, ! s_col( X, Y, Z ), ! s_col( T, U
% 17.62/18.00 , Z ), ! s_r( f811( X, Y, T, U, Z ), Z, g811( X, Y, T, U, Z ) ) }.
% 17.62/18.00 { ! perp( X, Y, Z, T ), perpAt( X, Y, il( X, Y, Z, T ), Z, T ) }.
% 17.62/18.00 { perp( X, Y, Z, T ), ! perpAt( X, Y, U, Z, T ) }.
% 17.62/18.00
% 17.62/18.00 percentage equality = 0.179104, percentage horn = 0.795238
% 17.62/18.00 This is a problem with some equality
% 17.62/18.00
% 17.62/18.00
% 17.62/18.00
% 17.62/18.00 Options Used:
% 17.62/18.00
% 17.62/18.00 useres = 1
% 17.62/18.00 useparamod = 1
% 17.62/18.00 useeqrefl = 1
% 17.62/18.00 useeqfact = 1
% 17.62/18.00 usefactor = 1
% 17.62/18.00 usesimpsplitting = 0
% 17.62/18.00 usesimpdemod = 5
% 17.62/18.00 usesimpres = 3
% 17.62/18.00
% 17.62/18.00 resimpinuse = 1000
% 17.62/18.00 resimpclauses = 20000
% 17.62/18.00 substype = eqrewr
% 17.62/18.00 backwardsubs = 1
% 17.62/18.00 selectoldest = 5
% 17.62/18.00
% 17.62/18.00 litorderings [0] = split
% 17.62/18.00 litorderings [1] = extend the termordering, first sorting on arguments
% 17.62/18.00
% 17.62/18.00 termordering = kbo
% 17.62/18.00
% 17.62/18.00 litapriori = 0
% 17.62/18.00 termapriori = 1
% 17.62/18.00 litaposteriori = 0
% 17.62/18.00 termaposteriori = 0
% 17.62/18.00 demodaposteriori = 0
% 17.62/18.00 ordereqreflfact = 0
% 17.62/18.00
% 17.62/18.00 litselect = negord
% 17.62/18.00
% 17.62/18.00 maxweight = 15
% 17.62/18.00 maxdepth = 30000
% 17.62/18.00 maxlength = 115
% 17.62/18.00 maxnrvars = 195
% 17.62/18.00 excuselevel = 1
% 17.62/18.00 increasemaxweight = 1
% 17.62/18.00
% 17.62/18.00 maxselected = 10000000
% 17.62/18.00 maxnrclauses = 10000000
% 17.62/18.00
% 17.62/18.00 showgenerated = 0
% 17.62/18.00 showkept = 0
% 17.62/18.00 showselected = 0
% 17.62/18.00 showdeleted = 0
% 17.62/18.00 showresimp = 1
% 17.62/18.00 showstatus = 2000
% 17.62/18.00
% 17.62/18.00 prologoutput = 0
% 17.62/18.00 nrgoals = 5000000
% 17.62/18.00 totalproof = 1
% 17.62/18.00
% 17.62/18.00 Symbols occurring in the translation:
% 17.62/18.00
% 17.62/18.00 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 17.62/18.00 . [1, 2] (w:1, o:62, a:1, s:1, b:0),
% 17.62/18.00 ! [4, 1] (w:0, o:57, a:1, s:1, b:0),
% 17.62/18.00 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 17.62/18.00 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 17.62/18.00 s_e [37, 4] (w:1, o:96, a:1, s:1, b:0),
% 17.62/18.00 ext [43, 4] (w:1, o:97, a:1, s:1, b:0),
% 17.62/18.00 s_t [44, 3] (w:1, o:88, a:1, s:1, b:0),
% 17.62/18.00 ip [54, 5] (w:1, o:103, a:1, s:1, b:0),
% 17.62/18.00 alpha [55, 0] (w:1, o:45, a:1, s:1, b:0),
% 17.62/18.00 beta [56, 0] (w:1, o:46, a:1, s:1, b:0),
% 17.62/18.00 gamma [57, 0] (w:1, o:47, a:1, s:1, b:0),
% 17.62/18.00 crossbar [67, 6] (w:1, o:110, a:1, s:1, b:0),
% 17.62/18.00 s_ifs [69, 8] (w:1, o:113, a:1, s:1, b:0),
% 17.62/18.00 insert [70, 4] (w:1, o:98, a:1, s:1, b:0),
% 17.62/18.00 s_e3 [71, 6] (w:1, o:111, a:1, s:1, b:0),
% 17.62/18.00 s_col [72, 3] (w:1, o:89, a:1, s:1, b:0),
% 17.62/18.00 insert5 [73, 5] (w:1, o:104, a:1, s:1, b:0),
% 17.62/18.00 s_fs [74, 8] (w:1, o:114, a:1, s:1, b:0),
% 17.62/18.00 le [75, 4] (w:1, o:99, a:1, s:1, b:0),
% 17.62/18.00 ins [76, 4] (w:1, o:100, a:1, s:1, b:0),
% 17.62/18.00 sameside [77, 3] (w:1, o:90, a:1, s:1, b:0),
% 17.62/18.00 c63 [78, 3] (w:1, o:91, a:1, s:1, b:0),
% 17.62/18.00 pointOffLine [81, 2] (w:1, o:86, a:1, s:1, b:0),
% 17.62/18.00 s_m [83, 3] (w:1, o:92, a:1, s:1, b:0),
% 102.54/102.90 s [84, 2] (w:1, o:87, a:1, s:1, b:0),
% 102.54/102.90 s_kf [89, 7] (w:1, o:112, a:1, s:1, b:0),
% 102.54/102.90 isomidpoint [90, 3] (w:1, o:93, a:1, s:1, b:0),
% 102.54/102.90 s_r [91, 3] (w:1, o:94, a:1, s:1, b:0),
% 102.54/102.90 perpAt [92, 5] (w:1, o:105, a:1, s:1, b:0),
% 102.54/102.90 perp [93, 4] (w:1, o:101, a:1, s:1, b:0),
% 102.54/102.90 f813 [94, 5] (w:1, o:106, a:1, s:1, b:0),
% 102.54/102.90 g813 [95, 5] (w:1, o:108, a:1, s:1, b:0),
% 102.54/102.90 il [98, 4] (w:1, o:102, a:1, s:1, b:0),
% 102.54/102.90 foot [99, 3] (w:1, o:95, a:1, s:1, b:0),
% 102.54/102.90 s_afs [104, 8] (w:1, o:115, a:1, s:1, b:0),
% 102.54/102.90 xb [107, 0] (w:1, o:52, a:1, s:1, b:0),
% 102.54/102.90 f811 [108, 5] (w:1, o:107, a:1, s:1, b:0),
% 102.54/102.90 g811 [109, 5] (w:1, o:109, a:1, s:1, b:0),
% 102.54/102.90 skol1 [112, 0] (w:1, o:53, a:1, s:1, b:1),
% 102.54/102.90 skol2 [113, 0] (w:1, o:54, a:1, s:1, b:1),
% 102.54/102.90 skol3 [114, 0] (w:1, o:55, a:1, s:1, b:1),
% 102.54/102.90 skol4 [115, 0] (w:1, o:56, a:1, s:1, b:1).
% 102.54/102.90
% 102.54/102.90
% 102.54/102.90 Starting Search:
% 102.54/102.90
% 102.54/102.90 *** allocated 15000 integers for clauses
% 102.54/102.90 *** allocated 22500 integers for clauses
% 102.54/102.90 *** allocated 33750 integers for clauses
% 102.54/102.90 *** allocated 33750 integers for termspace/termends
% 102.54/102.90 *** allocated 50625 integers for clauses
% 102.54/102.90 *** allocated 75937 integers for clauses
% 102.54/102.90 Resimplifying inuse:
% 102.54/102.90 Done
% 102.54/102.90
% 102.54/102.90 *** allocated 50625 integers for termspace/termends
% 102.54/102.90 *** allocated 113905 integers for clauses
% 102.54/102.90
% 102.54/102.90 Intermediate Status:
% 102.54/102.90 Generated: 8822
% 102.54/102.90 Kept: 2022
% 102.54/102.90 Inuse: 96
% 102.54/102.90 Deleted: 0
% 102.54/102.90 Deletedinuse: 0
% 102.54/102.90
% 102.54/102.90 Resimplifying inuse:
% 102.54/102.90 Done
% 102.54/102.90
% 102.54/102.90 *** allocated 75937 integers for termspace/termends
% 102.54/102.90 *** allocated 170857 integers for clauses
% 102.54/102.90 Resimplifying inuse:
% 102.54/102.90 Done
% 102.54/102.90
% 102.54/102.90 *** allocated 113905 integers for termspace/termends
% 102.54/102.90 *** allocated 256285 integers for clauses
% 102.54/102.90
% 102.54/102.90 Intermediate Status:
% 102.54/102.90 Generated: 17824
% 102.54/102.90 Kept: 4077
% 102.54/102.90 Inuse: 157
% 102.54/102.90 Deleted: 9
% 102.54/102.90 Deletedinuse: 0
% 102.54/102.90
% 102.54/102.90 Resimplifying inuse:
% 102.54/102.90 Done
% 102.54/102.90
% 102.54/102.90 Resimplifying inuse:
% 102.54/102.90 Done
% 102.54/102.90
% 102.54/102.90 *** allocated 170857 integers for termspace/termends
% 102.54/102.90 *** allocated 384427 integers for clauses
% 102.54/102.90
% 102.54/102.90 Intermediate Status:
% 102.54/102.90 Generated: 30940
% 102.54/102.90 Kept: 6080
% 102.54/102.90 Inuse: 219
% 102.54/102.90 Deleted: 10
% 102.54/102.90 Deletedinuse: 1
% 102.54/102.90
% 102.54/102.90 Resimplifying inuse:
% 102.54/102.90 Done
% 102.54/102.90
% 102.54/102.90 Resimplifying inuse:
% 102.54/102.90 Done
% 102.54/102.90
% 102.54/102.90
% 102.54/102.90 Intermediate Status:
% 102.54/102.90 Generated: 40384
% 102.54/102.90 Kept: 8230
% 102.54/102.90 Inuse: 271
% 102.54/102.90 Deleted: 12
% 102.54/102.90 Deletedinuse: 1
% 102.54/102.90
% 102.54/102.90 *** allocated 256285 integers for termspace/termends
% 102.54/102.90 Resimplifying inuse:
% 102.54/102.90 Done
% 102.54/102.90
% 102.54/102.90 *** allocated 576640 integers for clauses
% 102.54/102.90 Resimplifying inuse:
% 102.54/102.90 Done
% 102.54/102.90
% 102.54/102.90
% 102.54/102.90 Intermediate Status:
% 102.54/102.90 Generated: 52904
% 102.54/102.90 Kept: 10271
% 102.54/102.90 Inuse: 292
% 102.54/102.90 Deleted: 13
% 102.54/102.90 Deletedinuse: 1
% 102.54/102.90
% 102.54/102.90 Resimplifying inuse:
% 102.54/102.90 Done
% 102.54/102.90
% 102.54/102.90 Resimplifying inuse:
% 102.54/102.90 Done
% 102.54/102.90
% 102.54/102.90
% 102.54/102.90 Intermediate Status:
% 102.54/102.90 Generated: 66774
% 102.54/102.90 Kept: 12277
% 102.54/102.90 Inuse: 323
% 102.54/102.90 Deleted: 13
% 102.54/102.90 Deletedinuse: 1
% 102.54/102.90
% 102.54/102.90 Resimplifying inuse:
% 102.54/102.90 Done
% 102.54/102.90
% 102.54/102.90 *** allocated 864960 integers for clauses
% 102.54/102.90 *** allocated 384427 integers for termspace/termends
% 102.54/102.90 Resimplifying inuse:
% 102.54/102.90 Done
% 102.54/102.90
% 102.54/102.90
% 102.54/102.90 Intermediate Status:
% 102.54/102.90 Generated: 81207
% 102.54/102.90 Kept: 14316
% 102.54/102.90 Inuse: 345
% 102.54/102.90 Deleted: 14
% 102.54/102.90 Deletedinuse: 2
% 102.54/102.90
% 102.54/102.90 Resimplifying inuse:
% 102.54/102.90 Done
% 102.54/102.90
% 102.54/102.90
% 102.54/102.90 Intermediate Status:
% 102.54/102.90 Generated: 115509
% 102.54/102.90 Kept: 16474
% 102.54/102.90 Inuse: 373
% 102.54/102.90 Deleted: 15
% 102.54/102.90 Deletedinuse: 2
% 102.54/102.90
% 102.54/102.90 Resimplifying inuse:
% 102.54/102.90 Done
% 102.54/102.90
% 102.54/102.90 Resimplifying inuse:
% 102.54/102.90 Done
% 102.54/102.90
% 102.54/102.90 *** allocated 576640 integers for termspace/termends
% 102.54/102.90
% 102.54/102.90 Intermediate Status:
% 102.54/102.90 Generated: 152821
% 102.54/102.90 Kept: 19974
% 102.54/102.90 Inuse: 398
% 102.54/102.90 Deleted: 15
% 102.54/102.90 Deletedinuse: 2
% 102.54/102.90
% 102.54/102.90 Resimplifying inuse:
% 102.54/102.90 Done
% 102.54/102.90
% 102.54/102.90 Resimplifying clauses:
% 102.54/102.90 Done
% 102.54/102.90
% 102.54/102.90 *** allocated 1297440 integers for clauses
% 102.54/102.90 Resimplifying inuse:
% 102.54/102.90 Done
% 102.54/102.90
% 102.54/102.90
% 102.54/102.90 Intermediate Status:
% 102.54/102.90 Generated: 167052
% 102.54/102.90 Kept: 22721
% 102.54/102.90 Inuse: 418
% 102.54/102.90 Deleted: 196
% 102.54/102.90 Deletedinuse: 2
% 102.54/102.90
% 102.54/102.90 Resimplifying inuse:
% 102.54/102.90 Done
% 102.54/102.90
% 102.54/102.90 Resimplifying inuse:
% 102.54/102.90 Done
% 102.54/102.90
% 102.54/102.90
% 102.54/102.90 Intermediate Status:
% 102.54/102.90 Generated: 184286
% 102.54/102.90 Kept: 26489
% 102.54/102.90 Inuse: 433
% 102.54/102.90 Deleted: 196
% 102.54/102.90 Deletedinuse: 2
% 102.54/102.90
% 102.54/102.90 Resimplifying inuse:
% 102.54/102.90 Done
% 102.54/102.90
% 102.54/102.90 Resimplifying inuse:
% 102.54/102.90 Done
% 102.54/102.90
% 102.54/102.90
% 102.54/102.90 Intermediate Status:
% 102.54/102.90 Generated: 197266
% 102.54/102.90 Kept: 28697
% 102.54/102.90 Inuse: 453
% 102.54/102.90 Deleted: 196
% 102.54/102.90 Deletedinuse: 2
% 102.54/102.90
% 102.54/102.90 Resimplifying inuse:
% 102.54/102.90 Done
% 102.54/102.90
% 102.54/102.90 Resimplifying inuse:
% 102.54/102.90 Done
% 102.54/102.90
% 102.54/102.90 *** allocated 864960 integers for termspace/termends
% 102.54/102.90 *** allocated 1946160 integers for clauses
% 102.54/102.90
% 102.54/102.90 Intermediate Status:
% 102.54/102.90 Generated: 212385
% 102.54/102.90 Kept: 31466
% 102.54/102.90 Inuse: 468
% 102.54/102.90 Deleted:Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------