TSTP Solution File: GEO524+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO524+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.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 02:54:30 EDT 2022
% Result : Theorem 192.28s 192.69s
% Output : Refutation 192.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO524+1 : TPTP v8.1.0. Released v7.0.0.
% 0.12/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n008.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 : Sat Jun 18 07:44:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.79/1.28 *** allocated 10000 integers for termspace/termends
% 0.79/1.28 *** allocated 10000 integers for clauses
% 0.79/1.28 *** allocated 10000 integers for justifications
% 0.79/1.28 Bliksem 1.12
% 0.79/1.28
% 0.79/1.28
% 0.79/1.28 Automatic Strategy Selection
% 0.79/1.28
% 0.79/1.28 *** allocated 15000 integers for termspace/termends
% 0.79/1.28 *** allocated 22500 integers for termspace/termends
% 0.79/1.28 *** allocated 33750 integers for termspace/termends
% 0.79/1.28
% 0.79/1.28 Clauses:
% 0.79/1.28
% 0.79/1.28 { s_e( X, Y, Y, X ) }.
% 0.79/1.28 { ! s_e( X, Y, Z, T ), ! s_e( X, Y, U, W ), s_e( Z, T, U, W ) }.
% 0.79/1.28 { ! s_e( X, Y, Z, Z ), X = Y }.
% 0.79/1.28 { s_t( X, Y, ext( X, Y, Z, T ) ) }.
% 0.79/1.28 { s_e( Y, ext( X, Y, Z, T ), Z, T ) }.
% 0.79/1.28 { ! s_e( X, Y, Z, T ), ! s_e( Y, U, T, W ), ! s_e( X, V0, Z, V1 ), ! s_e( Y
% 0.79/1.28 , V0, T, V1 ), ! s_t( X, Y, U ), ! s_t( Z, T, W ), X = Y, s_e( U, V0, W,
% 0.79/1.28 V1 ) }.
% 0.79/1.28 { ! s_t( X, Y, X ), X = Y }.
% 0.79/1.28 { ! s_t( X, Y, Z ), ! s_t( T, U, Z ), s_t( Y, ip( X, Y, Z, T, U ), T ) }.
% 0.79/1.28 { ! s_t( X, Y, Z ), ! s_t( T, U, Z ), s_t( U, ip( X, Y, Z, T, U ), X ) }.
% 0.79/1.28 { ! s_t( alpha, beta, gamma ) }.
% 0.79/1.28 { ! s_t( beta, gamma, alpha ) }.
% 0.79/1.28 { ! s_t( gamma, alpha, beta ) }.
% 0.79/1.28 { s_e( X, Y, X, Y ) }.
% 0.79/1.28 { ! s_e( X, Y, Z, T ), s_e( Z, T, X, Y ) }.
% 0.79/1.28 { ! s_e( X, Y, Z, T ), ! s_e( Z, T, U, W ), s_e( X, Y, U, W ) }.
% 0.79/1.28 { ! s_e( X, Y, Z, T ), s_e( Y, X, Z, T ) }.
% 0.79/1.28 { ! s_e( X, Y, Z, T ), s_e( X, Y, T, Z ) }.
% 0.79/1.28 { s_e( X, X, Y, Y ) }.
% 0.79/1.28 { ! s_t( X, Y, Z ), ! s_t( T, U, W ), ! s_e( X, Y, T, U ), ! s_e( Y, Z, U,
% 0.79/1.28 W ), s_e( X, Z, T, W ) }.
% 0.79/1.28 { X = Y, ! s_t( X, Y, Z ), ! s_e( Y, Z, T, U ), Z = ext( X, Y, T, U ) }.
% 0.79/1.28 { ! s_e( X, Y, Z, Z ), X = Y }.
% 0.79/1.28 { ! s_e( X, Y, Z, T ), s_e( Y, X, T, Z ) }.
% 0.79/1.28 { ! s_t( X, Y, Z ), ! s_t( T, U, W ), ! s_e( X, Y, U, W ), ! s_e( Y, Z, T,
% 0.79/1.28 U ), s_e( X, Z, T, W ) }.
% 0.79/1.28 { s_t( X, Y, Y ) }.
% 0.79/1.28 { ! s_t( X, Y, Z ), s_t( Z, Y, X ) }.
% 0.79/1.28 { s_t( X, X, Y ) }.
% 0.79/1.28 { ! s_t( X, Y, Z ), ! s_t( Y, X, Z ), X = Y }.
% 0.79/1.28 { ! s_t( X, Y, Z ), ! s_t( Y, T, Z ), s_t( X, Y, T ) }.
% 0.79/1.28 { ! s_t( X, Y, Z ), ! s_t( X, Z, T ), s_t( Y, Z, T ) }.
% 0.79/1.28 { ! s_t( X, Y, Z ), ! s_t( Y, Z, T ), Y = Z, s_t( X, Z, T ) }.
% 0.79/1.28 { ! s_t( X, Y, Z ), ! s_t( Y, T, Z ), s_t( X, T, Z ) }.
% 0.79/1.28 { ! s_t( X, Y, Z ), ! s_t( X, Z, T ), s_t( X, Y, T ) }.
% 0.79/1.28 { ! s_t( X, Y, Z ), ! s_t( Y, Z, T ), Y = Z, s_t( X, Y, T ) }.
% 0.79/1.28 { ! alpha = beta }.
% 0.79/1.28 { ! beta = gamma }.
% 0.79/1.28 { ! alpha = gamma }.
% 0.79/1.28 { s_t( X, Y, ext( X, Y, alpha, gamma ) ) }.
% 0.79/1.28 { ! X = ext( Y, X, alpha, gamma ) }.
% 0.79/1.28 { ! s_t( X, Y, Z ), ! s_t( T, U, Z ), ! s_t( X, W, T ), s_t( W, crossbar( X
% 0.79/1.28 , Y, Z, T, U, W ), Z ) }.
% 0.79/1.28 { ! s_t( X, Y, Z ), ! s_t( T, U, Z ), ! s_t( X, W, T ), s_t( Y, crossbar( X
% 0.79/1.28 , Y, Z, T, U, W ), U ) }.
% 0.79/1.28 { ! s_ifs( U, X, W, Y, V0, Z, V1, T ), s_e( X, Y, Z, T ) }.
% 0.79/1.28 { ! s_t( X, Y, Z ), ! s_t( T, U, W ), ! s_e( X, Z, T, W ), ! s_e( Y, Z, U,
% 0.79/1.28 W ), s_e( X, Y, T, U ) }.
% 0.79/1.28 { ! s_t( X, Y, Z ), ! s_e( X, Z, T, U ), s_t( T, insert( X, Y, T, U ), U )
% 0.79/1.28 }.
% 0.79/1.28 { ! s_t( X, Y, Z ), ! s_e( X, Z, T, U ), s_e3( X, Y, Z, T, insert( X, Y, T
% 0.79/1.28 , U ), U ) }.
% 0.79/1.28 { ! s_t( X, Y, Z ), ! s_e3( X, Y, Z, T, U, W ), s_t( T, U, W ) }.
% 0.79/1.28 { ! s_col( X, Y, Z ), s_col( Y, Z, X ) }.
% 0.79/1.28 { ! s_col( X, Y, Z ), s_col( Z, X, Y ) }.
% 0.79/1.28 { ! s_col( X, Y, Z ), s_col( Z, Y, X ) }.
% 0.79/1.28 { ! s_col( X, Y, Z ), s_col( Y, X, Z ) }.
% 0.79/1.28 { ! s_col( X, Y, Z ), s_col( X, Z, Y ) }.
% 0.79/1.28 { s_col( X, X, Y ) }.
% 0.79/1.28 { s_col( X, Y, X ) }.
% 0.79/1.28 { ! s_col( X, Y, Z ), ! s_e3( X, Y, Z, T, U, W ), s_col( T, U, W ) }.
% 0.79/1.28 { ! s_col( X, Y, Z ), ! s_e( X, Y, T, U ), s_e3( X, Y, Z, T, U, insert5( X
% 0.79/1.28 , Y, Z, T, U ) ) }.
% 0.79/1.28 { ! s_fs( X, Y, Z, T, V0, V1, U, W ), X = Y, s_e( Z, T, U, W ) }.
% 0.79/1.28 { X = Y, ! s_col( X, Y, Z ), ! s_e( X, T, X, U ), ! s_e( Y, T, Y, U ), s_e
% 0.79/1.28 ( Z, T, Z, U ) }.
% 0.79/1.28 { X = Y, ! s_col( X, Y, Z ), ! s_e( X, Z, X, T ), ! s_e( Y, Z, Y, T ), Z =
% 0.79/1.28 T }.
% 0.79/1.28 { ! s_t( X, Y, Z ), ! s_e( X, Y, X, T ), ! s_e( Z, Y, Z, T ), Y = T }.
% 0.79/1.28 { X = Y, ! s_t( X, Y, Z ), ! s_t( X, Y, T ), s_t( X, Z, T ), s_t( X, T, Z )
% 0.79/1.28 }.
% 0.79/1.28 { X = Y, ! s_t( X, Y, Z ), ! s_t( X, Y, T ), s_t( Y, Z, T ), s_t( Y, T, Z )
% 0.79/1.28 }.
% 0.79/1.28 { ! s_t( X, Y, Z ), ! s_t( X, T, Z ), s_t( X, Y, T ), s_t( X, T, Y ) }.
% 0.79/1.28 { ! le( X, Y, Z, T ), s_t( X, Y, ins( Z, T, X, Y ) ) }.
% 0.79/1.28 { ! le( X, Y, Z, T ), s_e( X, ins( Z, T, X, Y ), Z, T ) }.
% 0.79/1.28 { ! le( X, Y, Z, T ), ins( Z, T, X, Y ) = ext( X, Y, insert( X, Y, Z, T ),
% 0.79/1.28 T ) }.
% 0.79/1.28 { le( X, Y, Z, T ), ! s_t( X, Y, U ), ! s_e( X, U, Z, T ) }.
% 0.79/1.28 { ! le( X, Y, Z, T ), ! s_e( X, Y, U, W ), ! s_e( Z, T, V0, V1 ), le( U, W
% 0.79/1.28 , V0, V1 ) }.
% 0.79/1.28 { le( X, Y, X, Y ) }.
% 0.79/1.28 { ! le( X, Y, Z, T ), ! le( Z, T, U, W ), le( X, Y, U, W ) }.
% 0.79/1.28 { ! le( X, Y, Z, T ), ! le( Z, T, X, Y ), s_e( X, Y, Z, T ) }.
% 0.79/1.28 { le( X, Y, Z, T ), le( Z, T, X, Y ) }.
% 0.79/1.28 { le( X, X, Y, Z ) }.
% 0.79/1.28 { ! s_col( X, Y, Z ), ! s_t( X, Y, Z ), le( X, Y, X, Z ) }.
% 0.79/1.28 { ! s_col( X, Y, Z ), ! s_t( X, Y, Z ), le( Y, Z, X, Z ) }.
% 0.79/1.28 { ! s_t( X, Y, Z ), ! s_e( X, Z, X, Y ), Z = Y }.
% 0.79/1.28 { ! s_col( X, Y, Z ), s_t( X, Y, Z ), ! le( X, Y, X, Z ), ! le( Y, Z, X, Z
% 0.79/1.28 ) }.
% 0.79/1.28 { X = Y, Z = Y, T = Y, ! s_t( X, Y, T ), ! s_t( Z, Y, T ), sameside( X, Y,
% 0.79/1.28 Z ) }.
% 0.79/1.28 { X = Y, Z = Y, T = Y, ! s_t( X, Y, T ), s_t( Z, Y, T ), ! sameside( X, Y,
% 0.79/1.28 Z ) }.
% 0.79/1.28 { ! sameside( X, Y, Z ), ! X = Y }.
% 0.79/1.28 { ! sameside( X, Y, Z ), ! Z = Y }.
% 0.79/1.28 { ! sameside( X, Y, Z ), ! c63( X, Y, Z ) = Y }.
% 0.79/1.28 { ! sameside( X, Y, Z ), s_t( X, Y, c63( X, Y, Z ) ) }.
% 0.79/1.28 { ! sameside( X, Y, Z ), s_t( Z, Y, c63( X, Y, Z ) ) }.
% 0.79/1.28 { sameside( X, Y, Z ), X = Y, Z = Y, T = Y, ! s_t( X, Y, T ), ! s_t( Z, Y,
% 0.79/1.28 T ) }.
% 0.79/1.28 { ! sameside( X, Y, Z ), s_col( X, Y, Z ) }.
% 0.79/1.28 { ! sameside( X, Y, Z ), ! s_t( X, Y, Z ) }.
% 0.79/1.28 { sameside( X, Y, Z ), ! s_col( X, Y, Z ), s_t( X, Y, Z ) }.
% 0.79/1.28 { X = Y, sameside( X, Y, X ) }.
% 0.79/1.28 { ! sameside( X, Y, Z ), sameside( Z, Y, X ) }.
% 0.79/1.28 { ! sameside( X, Y, Z ), ! sameside( Z, Y, T ), sameside( X, Y, T ) }.
% 0.79/1.28 { X = Y, Z = T, sameside( insert( Z, T, Y, X ), Y, X ) }.
% 0.79/1.28 { X = Y, Z = T, s_e( Y, insert( Z, T, Y, X ), Z, T ) }.
% 0.79/1.28 { X = Y, Z = T, ! sameside( U, Y, X ), ! s_e( Y, U, Z, T ), ! sameside( W,
% 0.79/1.28 Y, X ), ! s_e( Y, W, Z, T ), U = W }.
% 0.79/1.28 { ! sameside( X, Y, Z ), ! le( Y, X, Y, Z ), s_t( Y, X, Z ) }.
% 0.79/1.28 { ! sameside( X, Y, Z ), le( Y, X, Y, Z ), ! s_t( Y, X, Z ) }.
% 0.79/1.28 { X = Y, X = Z, ! s_t( Y, X, Z ), ! s_col( T, X, Y ), T = X, sameside( T, X
% 0.79/1.28 , Y ), sameside( T, X, Z ) }.
% 0.79/1.28 { X = Y, X = Z, ! s_t( Y, X, Z ), ! sameside( T, X, Y ), s_col( T, X, Y ) }
% 0.79/1.28 .
% 0.79/1.28 { X = Y, X = Z, ! s_t( Y, X, Z ), ! sameside( T, X, Z ), s_col( T, X, Y ) }
% 0.79/1.28 .
% 0.79/1.28 { X = Y, X = Z, ! s_t( Y, X, Z ), ! T = X, s_col( T, X, Y ) }.
% 0.79/1.28 { X = Y, ! s_t( Z, X, Y ), ! s_t( T, X, Y ), s_t( T, Z, Y ), s_t( Z, T, Y )
% 0.79/1.28 }.
% 0.79/1.28 { X = Y, Z = X, ! s_col( X, Y, Z ), ! s_col( X, Y, T ), s_col( X, Z, T ) }
% 0.79/1.28 .
% 0.79/1.28 { X = Y, s_col( X, Y, X ) }.
% 0.79/1.28 { X = Y, ! s_col( X, Y, Z ), s_col( Y, X, Z ) }.
% 0.79/1.28 { X = Y, Z = T, ! s_col( Z, T, X ), ! s_col( Z, T, Y ), ! s_col( Z, T, U )
% 0.79/1.28 , s_col( X, Y, U ) }.
% 0.79/1.28 { X = Y, Z = T, ! s_col( X, Y, U ), ! s_col( Z, T, U ), ! s_col( X, Y, W )
% 0.79/1.28 , ! s_col( Z, T, W ), U = W, ! s_col( X, Y, V0 ), s_col( Z, T, V0 ) }.
% 0.79/1.28 { X = Y, ! s_col( X, Y, pointOffLine( X, Y ) ) }.
% 0.79/1.28 { ! sameside( X, Y, Z ), ! sameside( T, U, W ), ! s_e( Y, X, U, T ), ! s_e
% 0.79/1.28 ( Y, Z, U, W ), s_e( X, Z, T, W ) }.
% 0.79/1.28 { ! s_m( X, Y, Z ), s_m( Z, Y, X ) }.
% 0.79/1.28 { ! s_m( X, Y, X ), Y = X }.
% 0.79/1.28 { s_m( X, Y, X ), ! Y = X }.
% 0.79/1.28 { s_m( X, Y, s( Y, X ) ) }.
% 0.79/1.28 { ! s_m( X, Y, Z ), ! s_m( X, Y, T ), Z = T }.
% 0.79/1.28 { ! s_m( X, Y, Z ), Z = s( Y, X ) }.
% 0.79/1.28 { s( X, s( X, Y ) ) = Y }.
% 0.79/1.28 { ! s( X, Y ) = Z, ! s( X, T ) = Z, Y = T }.
% 0.79/1.28 { ! s( Z, X ) = s( Z, Y ), X = Y }.
% 0.79/1.28 { ! s( X, Y ) = Y, Y = X }.
% 0.79/1.28 { s( X, Y ) = Y, ! Y = X }.
% 0.79/1.28 { s_e( X, Y, s( Z, X ), s( Z, Y ) ) }.
% 0.79/1.28 { ! s_t( X, Y, Z ), s_t( s( T, X ), s( T, Y ), s( T, Z ) ) }.
% 0.79/1.28 { s_t( X, Y, Z ), ! s_t( s( T, X ), s( T, Y ), s( T, Z ) ) }.
% 0.79/1.28 { ! s_e( X, Y, Z, T ), s_e( s( U, X ), s( U, Y ), s( U, Z ), s( U, T ) ) }
% 0.79/1.28 .
% 0.79/1.28 { s_e( X, Y, Z, T ), ! s_e( s( U, X ), s( U, Y ), s( U, Z ), s( U, T ) ) }
% 0.79/1.28 .
% 0.79/1.28 { ! s_m( X, Y, Z ), ! s_m( X, T, Z ), Y = T }.
% 0.79/1.28 { ! s( X, Z ) = s( Y, Z ), X = Y }.
% 0.79/1.28 { ! s( X, s( Y, Z ) ) = s( Y, s( X, Z ) ), X = Y }.
% 0.79/1.28 { ! s_col( X, Y, Z ), ! s_e( Y, X, Y, Z ), X = Z, s_m( X, Y, Z ) }.
% 0.79/1.28 { s_col( X, Y, Z ), Y = T, ! s_e( X, Y, Z, T ), ! s_e( Y, Z, T, X ), !
% 0.79/1.28 s_col( X, U, Z ), ! s_col( Y, U, T ), s_m( X, U, Z ) }.
% 0.79/1.28 { ! s_kf( X, Y, W, Z, V0, T, U ), s_t( Y, Z, T ), ! le( Z, X, Z, U ) }.
% 0.79/1.28 { ! s_kf( T, X, U, Y, W, Z, V0 ), s_t( X, Y, Z ) }.
% 0.79/1.28 { ! s_t( X, Y, Z ), ! s_t( T, Y, U ), ! s_e( Y, X, Y, T ), ! s_e( Y, Z, Y,
% 0.79/1.28 U ), ! s_m( X, W, T ), ! s_m( Z, V0, U ), s_t( W, Y, V0 ) }.
% 0.79/1.28 { ! s_e( X, Y, X, Z ), s_m( Y, isomidpoint( Y, Z, X ), Z ) }.
% 0.79/1.28 { ! s_r( X, Y, Z ), s_r( Z, Y, X ) }.
% 0.79/1.28 { ! s_r( X, Y, Z ), X = Y, ! s_col( Y, X, T ), s_r( T, Y, Z ) }.
% 0.79/1.28 { ! s_r( X, Y, Z ), s_r( X, Y, s( Y, Z ) ) }.
% 0.79/1.28 { s_r( X, Y, Y ) }.
% 0.79/1.28 { ! s_r( X, Y, Z ), ! s_r( T, Y, Z ), ! s_t( X, Z, T ), Y = Z }.
% 0.79/1.28 { ! s_r( X, Y, Z ), ! s_r( X, Z, Y ), Y = Z }.
% 0.79/1.28 { ! s_r( X, Y, X ), X = Y }.
% 0.79/1.28 { ! s_r( X, Y, Z ), ! s_col( X, Y, Z ), X = Y, Z = Y }.
% 0.79/1.28 { ! s_r( X, Y, Z ), ! s_e3( X, Y, Z, T, U, W ), s_r( T, U, W ) }.
% 0.79/1.28 { ! perpAt( X, Y, Z, T, U ), perpAt( T, U, Z, X, Y ) }.
% 0.79/1.28 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.79/1.28 { ! perpAt( X, Y, Z, T, U ), ! X = Y }.
% 0.79/1.28 { ! perpAt( X, Y, Z, T, U ), ! T = U }.
% 0.79/1.28 { ! perpAt( X, Y, Z, T, U ), s_col( T, U, Z ) }.
% 0.79/1.28 { ! perpAt( X, Y, Z, T, U ), s_col( X, Y, Z ) }.
% 0.79/1.28 { ! perpAt( X, Y, Z, T, U ), s_col( X, Y, f813( X, Y, T, U, Z ) ) }.
% 0.79/1.28 { ! perpAt( X, Y, Z, T, U ), s_col( T, U, g813( X, Y, T, U, Z ) ) }.
% 0.79/1.28 { ! perpAt( X, Y, Z, T, U ), ! Z = f813( X, Y, T, U, Z ) }.
% 0.79/1.28 { ! perpAt( X, Y, Z, T, U ), ! Z = g813( X, Y, T, U, Z ) }.
% 0.79/1.28 { ! perpAt( X, Y, Z, T, U ), s_r( f813( X, Y, T, U, Z ), Z, g813( X, Y, T,
% 0.79/1.28 U, Z ) ) }.
% 0.79/1.28 { X = Y, Z = T, ! s_col( Z, T, U ), ! s_col( X, Y, U ), ! s_col( X, Y, W )
% 0.79/1.28 , ! s_col( Z, T, V0 ), U = W, U = V0, ! s_r( W, U, V0 ), perpAt( X, Y, U
% 0.79/1.28 , Z, T ) }.
% 0.79/1.28 { ! perp( X, Y, Z, T ), ! s_col( X, Y, Z ), ! s_col( X, Y, T ) }.
% 0.79/1.28 { ! perp( X, Y, Z, T ), ! s_col( X, Y, U ), ! s_col( Z, T, U ), perpAt( X,
% 0.79/1.28 Y, U, Z, T ) }.
% 0.79/1.28 { ! perpAt( X, Y, Z, T, U ), Z = il( X, Y, T, U ) }.
% 0.79/1.28 { X = Y, ! s_col( X, Y, Z ), ! perp( X, Y, T, Z ), perpAt( X, Y, Z, T, Z )
% 0.79/1.28 }.
% 0.79/1.28 { X = Y, ! s_col( X, Y, Z ), ! s_col( X, Y, T ), T = Z, ! s_col( X, Y, U )
% 0.79/1.28 , ! perp( X, Y, U, Z ) }.
% 0.79/1.28 { X = Y, ! s_col( X, Y, Z ), ! s_col( X, Y, T ), T = Z, s_r( U, Z, T ), !
% 0.79/1.28 perp( X, Y, U, Z ) }.
% 0.79/1.28 { X = Y, ! s_col( X, Y, Z ), ! s_col( X, Y, T ), T = Z, perp( X, Y, U, Z )
% 0.79/1.28 , s_col( X, Y, U ), ! s_r( U, Z, T ) }.
% 0.79/1.28 { s_col( X, Y, Z ), ! s_col( X, Y, T ), ! s_col( X, Y, U ), ! perp( X, Y, Z
% 0.79/1.28 , T ), ! perp( X, Y, Z, U ), T = U }.
% 0.79/1.28 { s_col( X, Y, Z ), s_col( X, Y, foot( X, Y, Z ) ) }.
% 0.79/1.28 { s_col( X, Y, Z ), perp( X, Y, Z, foot( X, Y, Z ) ) }.
% 0.79/1.28 { ! s_r( X, Y, Z ), ! s_m( s( X, Z ), T, s( Y, Z ) ), s_r( Y, X, T ) }.
% 0.79/1.28 { ! s_r( X, Y, Z ), ! s_m( s( X, Z ), T, s( Y, Z ) ), Y = Z, ! X = T }.
% 0.79/1.28 { ! perp( X, Y, Z, T ), perp( Y, X, Z, T ) }.
% 0.79/1.28 { X = Y, Z = T, ! s_col( X, Y, Z ), ! s_col( X, Y, T ), ! s_col( Z, T, U )
% 0.79/1.28 , s_col( X, Y, U ) }.
% 0.79/1.28 { X = Y, perp( X, Y, erect21a( X, Y, Z ), X ), s_col( X, Y, Z ) }.
% 0.79/1.28 { X = Y, s_col( X, Y, erectAux21a( X, Y, Z ) ), s_col( X, Y, Z ) }.
% 0.79/1.28 { X = Y, s_t( Z, erectAux21a( X, Y, Z ), erect21a( X, Y, Z ) ), s_col( X, Y
% 0.79/1.28 , Z ) }.
% 0.79/1.28 { X = Y, perp( X, Y, erect( X, Y, Z ), X ) }.
% 0.79/1.28 { X = Y, s_col( X, Y, erectAux( X, Y, Z ) ) }.
% 0.79/1.28 { X = Y, s_t( Z, erectAux( X, Y, Z ), erect( X, Y, Z ) ) }.
% 0.79/1.28 { ! le( X, Y, Z, T ), ! perp( X, Z, X, Y ), ! perp( X, Z, Z, T ), ! s_t( Y
% 0.79/1.28 , U, T ), ! s_col( X, Z, U ), s_m( X, midpointAux( X, Z, Y, T, U ), Z ) }
% 0.79/1.28 .
% 0.79/1.28 { s_m( X, midpoint( X, Y ), Y ) }.
% 0.79/1.28 { ! perp( X, Y, Y, Z ), ! perp( T, Z, Y, Z ), ! s_col( Y, Z, U ), ! s_t( X
% 0.79/1.28 , U, T ), ! s_t( Z, W, T ), ! s_e( Y, X, Z, W ), ! V0 = ip( X, U, T, Z, W
% 0.79/1.28 ), s_m( Y, V0, Z ) }.
% 0.79/1.28 { ! perp( X, Y, Y, Z ), ! perp( T, Z, Y, Z ), ! s_col( Y, Z, U ), ! s_t( X
% 0.79/1.28 , U, T ), ! s_t( Z, W, T ), ! s_e( Y, X, Z, W ), ! V0 = ip( X, U, T, Z, W
% 0.79/1.28 ), s_m( X, V0, W ) }.
% 0.79/1.28 { ! perp( X, Y, Y, Z ), ! perp( T, Z, Y, Z ), ! s_col( Y, Z, U ), ! s_t( X
% 0.79/1.28 , U, T ), ! s_t( Z, W, T ), ! s_e( Y, X, Z, W ), s_m( X, midpoint( Y, Z )
% 0.79/1.28 , W ) }.
% 0.79/1.28 { ! s_col( X, Y, Z ), ! s_col( X, Y, T ), X = Y, s_col( X, Z, T ) }.
% 0.79/1.28 { ! s_col( X, Y, Z ), ! s_col( X, Y, T ), Z = T, X = Y, ! perpAt( Z, T, U,
% 0.79/1.28 W, V0 ), perpAt( X, Y, U, W, V0 ) }.
% 0.79/1.28 { ! s_col( X, Y, Z ), ! s_col( X, Y, T ), Z = T, X = Y, ! perp( Z, T, U, W
% 0.79/1.28 ), perp( X, Y, U, W ) }.
% 0.79/1.28 { X = Y, X = Z, Y = Z, T = Z, X = T, ! perp( Y, X, X, Z ), ! s_col( X, Z, T
% 0.79/1.28 ), perp( Y, X, X, T ) }.
% 0.79/1.28 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.79/1.28 { ! s_col( X, Y, Z ), ! s_col( X, Y, T ), Z = T, X = Y, perp( Z, T, U, W )
% 0.79/1.28 , ! perp( X, Y, U, W ) }.
% 0.79/1.28 { ! s_col( xa, xb, xp ), ! s_col( xa, xb, xq ), xp = xq, xa = xb, perp( xc
% 0.79/1.28 , xd, xp, xq ), ! perp( xc, xd, xa, xb ) }.
% 0.79/1.28 { ! s_col( X, Y, Z ), X = Y, X = Z, ! samesideline( T, U, X, Y ),
% 0.79/1.28 samesideline( T, U, X, Z ) }.
% 0.79/1.28 { X = Y, ! samesideline( Z, T, X, Y ), samesideline( Z, T, Y, X ) }.
% 0.79/1.28 { ! opposite( X, Y, Z, T ), opposite( T, Y, Z, X ) }.
% 0.79/1.28 { ! opposite( X, Y, Z, T ), ! s_col( Y, Z, U ), ! s_m( X, U, T ), ! s_col(
% 0.79/1.28 Y, Z, W ), ! sameside( X, W, V0 ), opposite( V0, Y, Z, T ), ! s_t( W, V0
% 0.79/1.28 , X ) }.
% 0.79/1.28 { ! opposite( X, Y, Z, T ), ! s_col( Y, Z, U ), ! s_m( X, U, T ), ! s_col(
% 0.79/1.28 Y, Z, W ), ! sameside( X, W, V0 ), opposite( V0, Y, Z, T ) }.
% 0.79/1.28 { ! sameside( X, Y, Z ), sameside( s( T, X ), s( T, Y ), s( T, Z ) ) }.
% 0.79/1.28 { ! opposite( X, Y, Z, T ), Y = Z, ! s_col( Y, Z, U ), ! s_col( Y, Z, W ),
% 0.79/1.28 ! perp( Y, Z, X, W ), ! perp( Y, Z, T, U ), ! s_m( W, V0, U ), ! sameside
% 0.79/1.28 ( V1, W, X ), ! le( U, T, W, X ), W = U, sameside( s( V0, V1 ), U, T ) }
% 0.79/1.28 .
% 0.79/1.28 { ! opposite( X, Y, Z, T ), Y = Z, ! s_col( Y, Z, U ), ! s_col( Y, Z, W ),
% 0.79/1.28 ! perp( Y, Z, X, W ), ! perp( Y, Z, T, U ), ! s_m( W, V0, U ), sameside(
% 0.79/1.28 V1, W, X ), ! le( U, T, W, X ), W = U, ! sameside( s( V0, V1 ), U, T ) }
% 0.79/1.28 .
% 0.79/1.28 { ! opposite( X, Y, Z, T ), Y = Z, ! s_col( Y, Z, U ), ! s_col( Y, Z, W ),
% 0.79/1.28 ! perp( Y, Z, X, W ), ! perp( Y, Z, T, U ), ! s_m( W, V0, U ), ! sameside
% 0.79/1.28 ( V1, W, X ), ! W = U, sameside( s( V0, V1 ), U, T ) }.
% 0.79/1.28 { ! opposite( X, Y, Z, T ), Y = Z, ! s_col( Y, Z, U ), ! s_col( Y, Z, W ),
% 0.79/1.28 ! perp( Y, Z, X, W ), ! perp( Y, Z, T, U ), ! s_m( W, V0, U ), ! sameside
% 0.79/1.28 ( V1, W, X ), sameside( s( V0, V1 ), U, T ) }.
% 0.79/1.28 { ! opposite( X, Y, Z, T ), Y = Z, ! s_col( Y, Z, U ), ! s_col( Y, Z, W ),
% 0.79/1.28 ! perp( Y, Z, X, W ), ! perp( Y, Z, T, U ), ! s_m( W, V0, U ), ! sameside
% 0.79/1.28 ( V1, W, X ), ! sameside( V2, U, T ), opposite( V1, Y, Z, V2 ) }.
% 0.79/1.28 { ! opposite( X, Y, Z, T ), ! s_col( Y, Z, U ), ! sameside( X, U, W ),
% 0.79/1.28 opposite( W, Y, Z, T ) }.
% 0.79/1.28 { ! s_t( X, Y, Z ), ! s_t( T, U, Y ), s_t( X, op( U, T, Z, Y, X ), T ) }.
% 0.79/1.28 { ! s_t( X, Y, Z ), ! s_t( T, U, Y ), s_t( Z, U, op( U, T, Z, Y, X ) ) }.
% 0.79/1.28 { ! opposite( X, Y, Z, T ), opposite( U, Y, Z, T ), ! samesideline( X, U, Y
% 0.79/1.28 , Z ) }.
% 0.79/1.28 { ! opposite( X, Y, Z, T ), ! samesideline( X, T, Y, Z ) }.
% 0.79/1.28 { X = Y, ! samesideline( Z, T, X, Y ), ! samesideline( T, U, X, Y ),
% 0.79/1.28 samesideline( Z, U, X, Y ) }.
% 0.79/1.28 { ! samesideline( X, Y, Z, T ), samesideline( X, Y, T, Z ) }.
% 0.79/1.28 { X = Y, ! s_m( Z, T, U ), ! s_col( X, Y, Z ), ! s_col( X, Y, U ), s_col( X
% 0.79/1.28 , Y, T ) }.
% 0.79/1.28 { X = Y, ! s_t( Y, X, Z ), ! samesideline( T, U, Z, Y ), samesideline( T, U
% 0.79/1.28 , X, Y ) }.
% 0.79/1.28 { X = Y, ! samesideline( Z, T, X, Y ), samesideline( T, Z, X, Y ) }.
% 0.79/1.28 { ! opposite( X, Y, Z, T ), ! samesideline( T, U, Y, Z ), opposite( X, Y, Z
% 0.79/1.28 , U ) }.
% 0.79/1.28 { X = Y, ! perpAt( X, Y, Z, T, Z ), ! perpAt( X, Y, Z, U, Z ), T = Z, s_col
% 0.79/1.28 ( Z, T, U ) }.
% 0.79/1.28 { X = Y, s_col( X, Y, Z ), s_col( X, Y, T ), samesideline( Z, T, X, Y ),
% 0.79/1.28 opposite( Z, X, Y, T ), ! X = foot( X, Y, Z ) }.
% 0.79/1.28 { X = Y, s_col( X, Y, Z ), s_col( X, Y, T ), samesideline( Z, T, X, Y ),
% 0.79/1.28 opposite( Z, X, Y, T ), X = foot( X, Y, Z ) }.
% 0.79/1.28 { X = Y, s_col( X, Y, Z ), s_col( X, Y, T ), samesideline( Z, T, X, Y ),
% 0.79/1.28 opposite( Z, X, Y, T ) }.
% 0.79/1.28 { ! samesideline( X, Y, Z, T ), ! sameside( X, T, U ), samesideline( U, Y,
% 0.79/1.28 Z, T ) }.
% 0.79/1.28 { X = Y, ! s_col( X, Y, Z ), ! s_col( T, U, Z ), ! sameside( T, Z, U ),
% 0.79/1.28 s_col( X, Y, T ), samesideline( T, U, X, Y ) }.
% 0.79/1.28 { X = Y, s_col( X, Y, midpoint( Z, reflect( X, Y, Z ) ) ) }.
% 0.79/1.28 { X = Y, Z = reflect( X, Y, Z ), perp( X, Y, Z, reflect( X, Y, Z ) ) }.
% 0.79/1.28 { X = Y, ! s_col( X, Y, midpoint( Z, T ) ), ! perp( X, Y, Z, T ), T =
% 0.79/1.28 reflect( X, Y, Z ) }.
% 0.79/1.28 { X = Y, ! s_col( X, Y, midpoint( Z, T ) ), ! Z = T, T = reflect( X, Y, Z )
% 0.79/1.28 }.
% 0.79/1.28 { X = Y, ! reflect( X, Y, Z ) = T, reflect( X, Y, T ) = Z }.
% 0.79/1.28 { X = Y, reflect( X, Y, reflect( X, Y, Z ) ) = Z }.
% 0.79/1.28 { X = Y, ! reflect( X, Y, Z ) = T, Z = reflect( X, Y, T ) }.
% 0.79/1.28 { ! skol1 = skol2 }.
% 0.79/1.28 { reflect( skol1, skol2, skol3 ) = reflect( skol1, skol2, skol4 ) }.
% 0.79/1.28 { ! skol3 = skol4 }.
% 0.79/1.28 { insert( X, Y, Z, T ) = ext( ext( T, Z, alpha, gamma ), Z, X, Y ) }.
% 0.79/1.28 { ! s_afs( X, Y, Z, T, U, W, V0, V1 ), s_t( X, Y, Z ) }.
% 0.79/1.28 { ! s_afs( X, Y, Z, T, U, W, V0, V1 ), s_t( U, W, V0 ) }.
% 0.79/1.28 { ! s_afs( X, Y, Z, T, U, W, V0, V1 ), s_e( X, Y, U, W ) }.
% 0.79/1.28 { ! s_afs( X, Y, Z, T, U, W, V0, V1 ), s_e( Y, Z, W, V0 ) }.
% 0.79/1.28 { ! s_afs( X, Y, Z, T, U, W, V0, V1 ), s_e( X, T, U, V1 ) }.
% 0.79/1.28 { ! s_afs( X, Y, Z, T, U, W, V0, V1 ), s_e( Y, T, W, V1 ) }.
% 0.79/1.28 { ! s_t( X, Y, Z ), ! s_t( U, W, V0 ), ! s_e( X, Y, U, W ), ! s_e( Y, Z, W
% 0.79/1.28 , V0 ), ! s_e( X, T, U, V1 ), ! s_e( Y, T, W, V1 ), s_afs( X, Y, Z, T, U
% 0.79/1.28 , W, V0, V1 ) }.
% 0.79/1.28 { ! s_ifs( X, Y, Z, T, U, W, V0, V1 ), s_t( X, Y, Z ) }.
% 0.79/1.28 { ! s_ifs( X, Y, Z, T, U, W, V0, V1 ), s_t( U, W, V0 ) }.
% 0.79/1.28 { ! s_ifs( X, Y, Z, T, U, W, V0, V1 ), s_e( X, Z, U, V0 ) }.
% 0.79/1.28 { ! s_ifs( X, Y, Z, T, U, W, V0, V1 ), s_e( Y, Z, W, V0 ) }.
% 0.79/1.28 { ! s_ifs( X, Y, Z, T, U, W, V0, V1 ), s_e( X, T, U, V1 ) }.
% 0.79/1.28 { ! s_ifs( X, Y, Z, T, U, W, V0, V1 ), s_e( Z, T, V0, V1 ) }.
% 0.79/1.28 { ! s_t( X, Y, Z ), ! s_t( U, W, V0 ), ! s_e( X, Z, U, V0 ), ! s_e( Y, Z, W
% 0.79/1.28 , V0 ), ! s_e( X, T, U, V1 ), ! s_e( Z, T, V0, V1 ), s_ifs( X, Y, Z, T, U
% 0.79/1.28 , W, V0, V1 ) }.
% 0.79/1.28 { ! s_e3( X, Y, Z, T, U, W ), s_e( X, Y, T, U ) }.
% 0.79/1.28 { ! s_e3( X, Y, Z, T, U, W ), s_e( X, Z, T, W ) }.
% 0.79/1.28 { ! s_e3( X, Y, Z, T, U, W ), s_e( Y, Z, U, W ) }.
% 0.79/1.28 { ! s_e( X, Y, T, U ), ! s_e( X, Z, T, W ), ! s_e( Y, Z, U, W ), s_e3( X, Y
% 0.79/1.28 , Z, T, U, W ) }.
% 0.79/1.28 { ! s_col( X, Y, Z ), s_t( X, Y, Z ), s_t( Y, Z, X ), s_t( Z, X, Y ) }.
% 0.79/1.28 { s_col( X, Y, Z ), ! s_t( X, Y, Z ) }.
% 0.79/1.28 { s_col( X, Y, Z ), ! s_t( Y, Z, X ) }.
% 0.79/1.28 { s_col( X, Y, Z ), ! s_t( Z, X, Y ) }.
% 0.79/1.28 { ! s_fs( X, Y, Z, T, U, W, V0, V1 ), s_col( X, Y, Z ) }.
% 0.79/1.28 { ! s_fs( X, Y, Z, T, U, W, V0, V1 ), s_e3( X, Y, Z, U, W, V0 ) }.
% 0.79/1.28 { ! s_fs( X, Y, Z, T, U, W, V0, V1 ), s_e( X, T, U, V1 ) }.
% 0.79/1.28 { ! s_fs( X, Y, Z, T, U, W, V0, V1 ), s_e( Y, T, W, V1 ) }.
% 0.79/1.28 { ! s_col( X, Y, Z ), ! s_e3( X, Y, Z, U, W, V0 ), ! s_e( X, T, U, V1 ), !
% 0.79/1.28 s_e( Y, T, W, V1 ), s_fs( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.79/1.28 { ! le( X, Y, Z, T ), s_t( Z, insert( X, Y, Z, T ), T ) }.
% 0.79/1.28 { ! le( X, Y, Z, T ), s_e( X, Y, Z, insert( X, Y, Z, T ) ) }.
% 0.79/1.28 { ! s_t( Z, U, T ), ! s_e( X, Y, Z, U ), le( X, Y, Z, T ) }.
% 0.79/1.28 { ! sameside( X, Y, Z ), ! X = Y }.
% 0.79/1.28 { ! sameside( X, Y, Z ), ! Z = Y }.
% 0.79/1.28 { ! sameside( X, Y, Z ), s_t( Y, X, Z ), s_t( Y, Z, X ) }.
% 0.79/1.28 { ! s_t( Y, X, Z ), X = Y, xb = Y, sameside( X, Y, Z ) }.
% 0.79/1.28 { ! s_t( Y, Z, X ), X = Y, Z = Y, sameside( X, Y, Z ) }.
% 0.79/1.28 { ! s_m( X, Y, Z ), s_t( X, Y, Z ) }.
% 0.79/1.28 { ! s_m( X, Y, Z ), s_e( Y, X, Y, Z ) }.
% 0.79/1.28 { ! s_t( X, Y, Z ), ! s_e( Y, X, Y, Z ), s_m( X, Y, Z ) }.
% 0.79/1.28 { ! s_kf( X, Y, Z, T, U, W, V0 ), s_t( X, T, V0 ) }.
% 0.79/1.28 { ! s_kf( X, Y, Z, T, U, W, V0 ), s_t( Z, T, U ) }.
% 0.79/1.28 { ! s_kf( X, Y, Z, T, U, W, V0 ), s_e( T, X, T, Z ) }.
% 0.79/1.28 { ! s_kf( X, Y, Z, T, U, W, V0 ), s_e( T, V0, T, U ) }.
% 0.79/1.28 { ! s_kf( X, Y, Z, T, U, W, V0 ), s_m( X, Y, Z ) }.
% 0.79/1.28 { ! s_kf( X, Y, Z, T, U, W, V0 ), s_m( V0, W, U ) }.
% 0.79/1.28 { ! s_t( X, T, V0 ), ! s_t( Z, T, U ), ! s_e( T, X, T, Z ), ! s_e( T, V0, T
% 0.79/1.28 , U ), ! s_m( X, Y, Z ), ! s_m( V0, W, U ), s_kf( X, Y, Z, T, U, W, V0 )
% 0.79/1.28 }.
% 0.79/1.28 { ! s_r( X, Y, Z ), s_e( X, Z, X, s( Y, Z ) ) }.
% 0.79/1.28 { s_r( X, Y, Z ), ! s_e( X, Z, X, s( Y, Z ) ) }.
% 0.79/1.28 { ! perpAt( X, Y, Z, T, U ), s_col( X, Y, Z ) }.
% 0.79/1.28 { ! perpAt( X, Y, Z, T, U ), s_col( T, U, Z ) }.
% 0.79/1.28 { ! perpAt( X, Y, Z, T, U ), ! X = Y }.
% 0.79/1.28 { ! perpAt( X, Y, Z, T, U ), ! T = U }.
% 0.79/1.28 { ! perpAt( X, Y, Z, T, U ), ! s_col( X, Y, W ), ! s_col( T, U, V0 ), s_r(
% 0.79/1.28 W, Z, V0 ) }.
% 0.79/1.28 { perpAt( X, Y, Z, T, U ), X = Y, T = U, ! s_col( X, Y, Z ), ! s_col( T, U
% 0.79/1.28 , Z ), s_col( X, Y, f811( X, Y, T, U, Z ) ) }.
% 0.79/1.28 { perpAt( X, Y, Z, T, U ), X = Y, T = U, ! s_col( X, Y, Z ), ! s_col( T, U
% 0.79/1.28 , Z ), s_col( T, U, g811( X, Y, T, U, Z ) ) }.
% 0.79/1.28 { perpAt( X, Y, Z, T, U ), X = Y, T = U, ! s_col( X, Y, Z ), ! s_col( T, U
% 0.79/1.28 , Z ), ! s_r( f811( X, Y, T, U, Z ), Z, g811( X, Y, T, U, Z ) ) }.
% 0.79/1.28 { ! perp( X, Y, Z, T ), perpAt( X, Y, il( X, Y, Z, T ), Z, T ) }.
% 0.79/1.28 { perp( X, Y, Z, T ), ! perpAt( X, Y, U, Z, T ) }.
% 0.79/1.28 { X = Y, s_col( X, Y, Z ), s_col( X, Y, T ), ! s_t( Z, U, T ), ! s_col( X,
% 0.79/1.28 Y, U ), opposite( Z, X, Y, T ) }.
% 0.79/1.28 { ! opposite( Z, X, Y, T ), ! s_col( X, Y, Z ) }.
% 0.79/1.28 { ! opposite( Z, X, Y, T ), ! s_col( X, Y, T ) }.
% 0.79/1.28 { ! opposite( Z, X, Y, T ), s_t( Z, il( Z, T, X, Y ), T ) }.
% 0.79/1.28 { ! opposite( Z, X, Y, T ), s_col( X, Y, il( Z, T, X, Y ) ) }.
% 0.79/1.28 { ! samesideline( X, Y, Z, T ), s_col( Z, T, ss1( X, Y, Z, T ) ) }.
% 0.79/1.28 { ! samesideline( X, Y, Z, T ), s_col( Z, T, ss2( X, Y, Z, T ) ) }.
% 0.79/1.28 { ! samesideline( X, Y, Z, T ), s_t( X, ss1( X, Y, Z, T ), ss3( X, Y, Z, T
% 0.79/1.28 ) ) }.
% 0.79/1.28 { ! samesideline( X, Y, Z, T ), s_t( Y, ss2( X, Y, Z, T ), ss3( X, Y, Z, T
% 17.05/17.42 ) ) }.
% 17.05/17.42 { ! samesideline( X, Y, Z, T ), ! X = ss1( X, Y, Z, T ) }.
% 17.05/17.42 { ! samesideline( X, Y, Z, T ), ! Y = ss2( X, Y, Z, T ) }.
% 17.05/17.42 { ! samesideline( X, Y, Z, T ), ! ss3( X, Y, Z, T ) = ss1( X, Y, Z, T ) }.
% 17.05/17.42 { ! samesideline( X, Y, Z, T ), ! ss3( X, Y, Z, T ) = ss2( X, Y, Z, T ) }.
% 17.05/17.42 { ! samesideline( X, Y, Z, T ), ! Z = T }.
% 17.05/17.42 { ! samesideline( X, Y, Z, T ), ! s_col( Z, T, X ) }.
% 17.05/17.42 { ! samesideline( X, Y, Z, T ), ! s_col( Z, T, Y ) }.
% 17.05/17.42 { ! s_t( X, U, W ), ! s_t( Y, V0, W ), ! s_col( Z, T, U ), ! s_col( Z, T,
% 17.05/17.42 V0 ), Z = T, W = U, W = V0, X = U, Y = V0, s_col( Z, T, X ), s_col( Z, T
% 17.05/17.42 , Y ), samesideline( X, Y, Z, T ) }.
% 17.05/17.42
% 17.05/17.42 *** allocated 15000 integers for clauses
% 17.05/17.42 percentage equality = 0.204819, percentage horn = 0.714789
% 17.05/17.42 This is a problem with some equality
% 17.05/17.42
% 17.05/17.42
% 17.05/17.42
% 17.05/17.42 Options Used:
% 17.05/17.42
% 17.05/17.42 useres = 1
% 17.05/17.42 useparamod = 1
% 17.05/17.42 useeqrefl = 1
% 17.05/17.42 useeqfact = 1
% 17.05/17.42 usefactor = 1
% 17.05/17.42 usesimpsplitting = 0
% 17.05/17.42 usesimpdemod = 5
% 17.05/17.42 usesimpres = 3
% 17.05/17.42
% 17.05/17.42 resimpinuse = 1000
% 17.05/17.42 resimpclauses = 20000
% 17.05/17.42 substype = eqrewr
% 17.05/17.42 backwardsubs = 1
% 17.05/17.42 selectoldest = 5
% 17.05/17.42
% 17.05/17.42 litorderings [0] = split
% 17.05/17.42 litorderings [1] = extend the termordering, first sorting on arguments
% 17.05/17.42
% 17.05/17.42 termordering = kbo
% 17.05/17.42
% 17.05/17.42 litapriori = 0
% 17.05/17.42 termapriori = 1
% 17.05/17.42 litaposteriori = 0
% 17.05/17.42 termaposteriori = 0
% 17.05/17.42 demodaposteriori = 0
% 17.05/17.42 ordereqreflfact = 0
% 17.05/17.42
% 17.05/17.42 litselect = negord
% 17.05/17.42
% 17.05/17.42 maxweight = 15
% 17.05/17.42 maxdepth = 30000
% 17.05/17.42 maxlength = 115
% 17.05/17.42 maxnrvars = 195
% 17.05/17.42 excuselevel = 1
% 17.05/17.42 increasemaxweight = 1
% 17.05/17.42
% 17.05/17.42 maxselected = 10000000
% 17.05/17.42 maxnrclauses = 10000000
% 17.05/17.42
% 17.05/17.42 showgenerated = 0
% 17.05/17.42 showkept = 0
% 17.05/17.42 showselected = 0
% 17.05/17.42 showdeleted = 0
% 17.05/17.42 showresimp = 1
% 17.05/17.42 showstatus = 2000
% 17.05/17.42
% 17.05/17.42 prologoutput = 0
% 17.05/17.42 nrgoals = 5000000
% 17.05/17.42 totalproof = 1
% 17.05/17.42
% 17.05/17.42 Symbols occurring in the translation:
% 17.05/17.42
% 17.05/17.42 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 17.05/17.42 . [1, 2] (w:1, o:70, a:1, s:1, b:0),
% 17.05/17.42 ! [4, 1] (w:0, o:65, a:1, s:1, b:0),
% 17.05/17.42 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 17.05/17.42 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 17.05/17.42 s_e [37, 4] (w:1, o:110, a:1, s:1, b:0),
% 17.05/17.42 ext [43, 4] (w:1, o:111, a:1, s:1, b:0),
% 17.05/17.42 s_t [44, 3] (w:1, o:98, a:1, s:1, b:0),
% 17.05/17.42 ip [54, 5] (w:1, o:122, a:1, s:1, b:0),
% 17.05/17.42 alpha [55, 0] (w:1, o:48, a:1, s:1, b:0),
% 17.05/17.42 beta [56, 0] (w:1, o:49, a:1, s:1, b:0),
% 17.05/17.42 gamma [57, 0] (w:1, o:50, a:1, s:1, b:0),
% 17.05/17.42 crossbar [67, 6] (w:1, o:131, a:1, s:1, b:0),
% 17.05/17.42 s_ifs [69, 8] (w:1, o:134, a:1, s:1, b:0),
% 17.05/17.42 insert [70, 4] (w:1, o:112, a:1, s:1, b:0),
% 17.05/17.42 s_e3 [71, 6] (w:1, o:132, a:1, s:1, b:0),
% 17.05/17.42 s_col [72, 3] (w:1, o:99, a:1, s:1, b:0),
% 17.05/17.42 insert5 [73, 5] (w:1, o:123, a:1, s:1, b:0),
% 17.05/17.42 s_fs [74, 8] (w:1, o:135, a:1, s:1, b:0),
% 17.05/17.42 le [75, 4] (w:1, o:113, a:1, s:1, b:0),
% 17.05/17.42 ins [76, 4] (w:1, o:114, a:1, s:1, b:0),
% 17.05/17.42 sameside [77, 3] (w:1, o:100, a:1, s:1, b:0),
% 17.05/17.42 c63 [78, 3] (w:1, o:101, a:1, s:1, b:0),
% 17.05/17.42 pointOffLine [81, 2] (w:1, o:94, a:1, s:1, b:0),
% 17.05/17.42 s_m [83, 3] (w:1, o:102, a:1, s:1, b:0),
% 17.05/17.42 s [84, 2] (w:1, o:95, a:1, s:1, b:0),
% 17.05/17.42 s_kf [89, 7] (w:1, o:133, a:1, s:1, b:0),
% 17.05/17.42 isomidpoint [90, 3] (w:1, o:103, a:1, s:1, b:0),
% 17.05/17.42 s_r [91, 3] (w:1, o:104, a:1, s:1, b:0),
% 17.05/17.42 perpAt [92, 5] (w:1, o:125, a:1, s:1, b:0),
% 17.05/17.42 perp [93, 4] (w:1, o:116, a:1, s:1, b:0),
% 17.05/17.42 f813 [94, 5] (w:1, o:126, a:1, s:1, b:0),
% 17.05/17.42 g813 [95, 5] (w:1, o:128, a:1, s:1, b:0),
% 17.05/17.42 il [98, 4] (w:1, o:117, a:1, s:1, b:0),
% 17.05/17.42 foot [99, 3] (w:1, o:109, a:1, s:1, b:0),
% 17.05/17.42 erect21a [100, 3] (w:1, o:105, a:1, s:1, b:0),
% 17.05/17.42 erectAux21a [101, 3] (w:1, o:106, a:1, s:1, b:0),
% 17.05/17.42 erect [102, 3] (w:1, o:107, a:1, s:1, b:0),
% 17.05/17.42 erectAux [103, 3] (w:1, o:108, a:1, s:1, b:0),
% 17.05/17.42 midpointAux [105, 5] (w:1, o:129, a:1, s:1, b:0),
% 17.05/17.42 midpoint [106, 2] (w:1, o:96, a:1, s:1, b:0),
% 17.05/17.42 xa [107, 0] (w:1, o:51, a:1, s:1, b:0),
% 17.05/17.42 xb [108, 0] (w:1, o:52, a:1, s:1, b:0),
% 17.05/17.42 xp [109, 0] (w:1, o:53, a:1, s:1, b:0),
% 17.05/17.42 xq [110, 0] (w:1, o:54, a:1, s:1, b:0),
% 17.05/17.42 xc [111, 0] (w:1, o:55, a:1, s:1, b:0),
% 17.05/17.42 xd [112, 0] (w:1, o:56, a:1, s:1, b:0),
% 177.47/177.83 samesideline [113, 4] (w:1, o:118, a:1, s:1, b:0),
% 177.47/177.83 opposite [114, 4] (w:1, o:115, a:1, s:1, b:0),
% 177.47/177.83 op [115, 5] (w:1, o:124, a:1, s:1, b:0),
% 177.47/177.83 reflect [116, 3] (w:1, o:97, a:1, s:1, b:0),
% 177.47/177.83 s_afs [122, 8] (w:1, o:136, a:1, s:1, b:0),
% 177.47/177.83 f811 [125, 5] (w:1, o:127, a:1, s:1, b:0),
% 177.47/177.83 g811 [126, 5] (w:1, o:130, a:1, s:1, b:0),
% 177.47/177.83 ss1 [130, 4] (w:1, o:119, a:1, s:1, b:0),
% 177.47/177.83 ss2 [131, 4] (w:1, o:120, a:1, s:1, b:0),
% 177.47/177.83 ss3 [132, 4] (w:1, o:121, a:1, s:1, b:0),
% 177.47/177.83 skol1 [133, 0] (w:1, o:61, a:1, s:1, b:1),
% 177.47/177.83 skol2 [134, 0] (w:1, o:62, a:1, s:1, b:1),
% 177.47/177.83 skol3 [135, 0] (w:1, o:63, a:1, s:1, b:1),
% 177.47/177.83 skol4 [136, 0] (w:1, o:64, a:1, s:1, b:1).
% 177.47/177.83
% 177.47/177.83
% 177.47/177.83 Starting Search:
% 177.47/177.83
% 177.47/177.83 *** allocated 22500 integers for clauses
% 177.47/177.83 *** allocated 33750 integers for clauses
% 177.47/177.83 *** allocated 50625 integers for clauses
% 177.47/177.83 *** allocated 50625 integers for termspace/termends
% 177.47/177.83 Resimplifying inuse:
% 177.47/177.83 Done
% 177.47/177.83
% 177.47/177.83 *** allocated 75937 integers for clauses
% 177.47/177.83 *** allocated 113905 integers for clauses
% 177.47/177.83 *** allocated 75937 integers for termspace/termends
% 177.47/177.83
% 177.47/177.83 Intermediate Status:
% 177.47/177.83 Generated: 11553
% 177.47/177.83 Kept: 2164
% 177.47/177.83 Inuse: 100
% 177.47/177.83 Deleted: 0
% 177.47/177.83 Deletedinuse: 0
% 177.47/177.83
% 177.47/177.83 Resimplifying inuse:
% 177.47/177.83 Done
% 177.47/177.83
% 177.47/177.83 *** allocated 170857 integers for clauses
% 177.47/177.83 Resimplifying inuse:
% 177.47/177.83 Done
% 177.47/177.83
% 177.47/177.83 *** allocated 113905 integers for termspace/termends
% 177.47/177.83 *** allocated 256285 integers for clauses
% 177.47/177.83
% 177.47/177.83 Intermediate Status:
% 177.47/177.83 Generated: 20562
% 177.47/177.83 Kept: 4170
% 177.47/177.83 Inuse: 168
% 177.47/177.83 Deleted: 5
% 177.47/177.83 Deletedinuse: 0
% 177.47/177.83
% 177.47/177.83 Resimplifying inuse:
% 177.47/177.83 Done
% 177.47/177.83
% 177.47/177.83 *** allocated 170857 integers for termspace/termends
% 177.47/177.83 Resimplifying inuse:
% 177.47/177.83 Done
% 177.47/177.83
% 177.47/177.83 *** allocated 384427 integers for clauses
% 177.47/177.83
% 177.47/177.83 Intermediate Status:
% 177.47/177.83 Generated: 35306
% 177.47/177.83 Kept: 6193
% 177.47/177.83 Inuse: 226
% 177.47/177.83 Deleted: 15
% 177.47/177.83 Deletedinuse: 0
% 177.47/177.83
% 177.47/177.83 Resimplifying inuse:
% 177.47/177.83 Done
% 177.47/177.83
% 177.47/177.83 Resimplifying inuse:
% 177.47/177.83 Done
% 177.47/177.83
% 177.47/177.83 *** allocated 256285 integers for termspace/termends
% 177.47/177.83
% 177.47/177.83 Intermediate Status:
% 177.47/177.83 Generated: 43666
% 177.47/177.83 Kept: 8224
% 177.47/177.83 Inuse: 279
% 177.47/177.83 Deleted: 17
% 177.47/177.83 Deletedinuse: 0
% 177.47/177.83
% 177.47/177.83 Resimplifying inuse:
% 177.47/177.83 Done
% 177.47/177.83
% 177.47/177.83 *** allocated 576640 integers for clauses
% 177.47/177.83 Resimplifying inuse:
% 177.47/177.83 Done
% 177.47/177.83
% 177.47/177.83
% 177.47/177.83 Intermediate Status:
% 177.47/177.83 Generated: 63877
% 177.47/177.83 Kept: 10259
% 177.47/177.83 Inuse: 308
% 177.47/177.83 Deleted: 17
% 177.47/177.83 Deletedinuse: 0
% 177.47/177.83
% 177.47/177.83 Resimplifying inuse:
% 177.47/177.83 Done
% 177.47/177.83
% 177.47/177.83 Resimplifying inuse:
% 177.47/177.83 Done
% 177.47/177.83
% 177.47/177.83
% 177.47/177.83 Intermediate Status:
% 177.47/177.83 Generated: 82235
% 177.47/177.83 Kept: 12413
% 177.47/177.83 Inuse: 339
% 177.47/177.83 Deleted: 17
% 177.47/177.83 Deletedinuse: 0
% 177.47/177.83
% 177.47/177.83 *** allocated 384427 integers for termspace/termends
% 177.47/177.83 Resimplifying inuse:
% 177.47/177.83 Done
% 177.47/177.83
% 177.47/177.83 *** allocated 864960 integers for clauses
% 177.47/177.83 Resimplifying inuse:
% 177.47/177.83 Done
% 177.47/177.83
% 177.47/177.83
% 177.47/177.83 Intermediate Status:
% 177.47/177.83 Generated: 120757
% 177.47/177.83 Kept: 14652
% 177.47/177.83 Inuse: 368
% 177.47/177.83 Deleted: 18
% 177.47/177.83 Deletedinuse: 0
% 177.47/177.83
% 177.47/177.83 Resimplifying inuse:
% 177.47/177.83 Done
% 177.47/177.83
% 177.47/177.83 Resimplifying inuse:
% 177.47/177.83 Done
% 177.47/177.83
% 177.47/177.83
% 177.47/177.83 Intermediate Status:
% 177.47/177.83 Generated: 157176
% 177.47/177.83 Kept: 17690
% 177.47/177.83 Inuse: 392
% 177.47/177.83 Deleted: 19
% 177.47/177.83 Deletedinuse: 0
% 177.47/177.83
% 177.47/177.83 Resimplifying inuse:
% 177.47/177.83 Done
% 177.47/177.83
% 177.47/177.83 Resimplifying inuse:
% 177.47/177.83 Done
% 177.47/177.83
% 177.47/177.83 *** allocated 576640 integers for termspace/termends
% 177.47/177.83 *** allocated 1297440 integers for clauses
% 177.47/177.83
% 177.47/177.83 Intermediate Status:
% 177.47/177.83 Generated: 170501
% 177.47/177.83 Kept: 20163
% 177.47/177.83 Inuse: 412
% 177.47/177.83 Deleted: 19
% 177.47/177.83 Deletedinuse: 0
% 177.47/177.83
% 177.47/177.83 Resimplifying clauses:
% 177.47/177.83 Done
% 177.47/177.83
% 177.47/177.83 Resimplifying inuse:
% 177.47/177.83 Done
% 177.47/177.83
% 177.47/177.83 Resimplifying inuse:
% 177.47/177.83 Done
% 177.47/177.83
% 177.47/177.83
% 177.47/177.83 Intermediate Status:
% 177.47/177.83 Generated: 187926
% 177.47/177.83 Kept: 23767
% 177.47/177.83 Inuse: 427
% 177.47/177.83 Deleted: 283
% 177.47/177.83 Deletedinuse: 0
% 177.47/177.83
% 177.47/177.83 Resimplifying inuse:
% 177.47/177.83 Done
% 177.47/177.83
% 177.47/177.83 Resimplifying inuse:
% 177.47/177.83 Done
% 177.47/177.83
% 177.47/177.83
% 177.47/177.83 Intermediate Status:
% 177.47/177.83 Generated: 199124
% 177.47/177.83 Kept: 25810
% 177.47/177.83 Inuse: 447
% 177.47/177.83 Deleted: 283
% 177.47/177.83 Deletedinuse: 0
% 177.47/177.83
% 177.47/177.83 Resimplifying inuse:
% 177.47/177.83 Done
% 177.47/177.83
% 177.47/177.83
% 177.47/177.83 Intermediate Status:
% 177.47/177.83 Generated: 213792
% 177.47/177.83 Kept: 28412
% 177.47/177.83 Inuse: 462
% 177.47/177.83 Deleted: 283
% 177.47/177.83 Deletedinuse: 0
% 177.47/177.83
% 177.47/177.83 Resimplifying inuse:
% 177.47/177.83 Done
% 177.47/177.83
% 177.47/177.83 *** allocated 864960 integers for termspace/termends
% 177.47/177.83 *** allocated 1946160 integers for clauses
% 177.47/177.83 Resimplifying inuse:
% 177.47/177.83 Done
% 177.47/177.83
% 177.47/177.83
% 177.47/177.83 Intermediate Status:
% 177.47/177.83 Generated: 229657
% 177.47/177.83 Kept: 30502
% 177.47/177.83 Inuse: 472
% 177.47/177.83 Deleted: 283
% 177.47/177.83 Deletedinuse: 0
% 177.47/177.83
% 177.47/177.83 Resimplifying inuse:
% 177.47/177.83 Done
% 177.47/177.83
% 177.47/177.83 Resimplifying inuse:
% 177.47/177.83 Done
% 177.47/177.83
% 177.47/177.83
% 177.47/177.83 Intermediate Status:
% 177.47/177.83 Generated: 249505
% 177.47/177.83 Kept: 32540
% 177.47/177.83 Inuse: 494
% 177.47/177.83 Deleted: 283
% 177.47/177.83 Deletedinuse: 0
% 177.47/177.83
% 177.47/177.83 Resimplifying inuse:
% 177.47/177.83 Done
% 177.47/177.83
% 177.47/177.83
% 177.47/177.83 Intermediate Status:
% 177.47/177.83 Generated: 267538
% 177.47/177.83 Kept: 34852
% 192.28/192.69 Inuse: 512
% 192.28/192.69 Deleted: 293
% 192.28/192.69 Deletedinuse: 0
% 192.28/192.69
% 192.28/192.69 Resimplifying inuse:
% 192.28/192.69 Done
% 192.28/192.69
% 192.28/192.69 Resimplifying inuse:
% 192.28/192.69 Done
% 192.28/192.69
% 192.28/192.69
% 192.28/192.69 Intermediate Status:
% 192.28/192.69 Generated: 284246
% 192.28/192.69 Kept: 36879
% 192.28/192.69 Inuse: 530
% 192.28/192.69 Deleted: 293
% 192.28/192.69 Deletedinuse: 0
% 192.28/192.69
% 192.28/192.69 Resimplifying inuse:
% 192.28/192.69 Done
% 192.28/192.69
% 192.28/192.69 Resimplifying inuse:
% 192.28/192.69 Done
% 192.28/192.69
% 192.28/192.69
% 192.28/192.69 Intermediate Status:
% 192.28/192.69 Generated: 300738
% 192.28/192.69 Kept: 38907
% 192.28/192.69 Inuse: 559
% 192.28/192.69 Deleted: 293
% 192.28/192.69 Deletedinuse: 0
% 192.28/192.69
% 192.28/192.69 Resimplifying inuse:
% 192.28/192.69 Done
% 192.28/192.69
% 192.28/192.69 Resimplifying inuse:
% 192.28/192.69 Done
% 192.28/192.69
% 192.28/192.69 Resimplifying clauses:
% 192.28/192.69 Done
% 192.28/192.69
% 192.28/192.69
% 192.28/192.69 Intermediate Status:
% 192.28/192.69 Generated: 358839
% 192.28/192.69 Kept: 41510
% 192.28/192.69 Inuse: 582
% 192.28/192.69 Deleted: 373
% 192.28/192.69 Deletedinuse: 0
% 192.28/192.69
% 192.28/192.69 Resimplifying inuse:
% 192.28/192.69 Done
% 192.28/192.69
% 192.28/192.69 Resimplifying inuse:
% 192.28/192.69 Done
% 192.28/192.69
% 192.28/192.69 *** allocated 1297440 integers for termspace/termends
% 192.28/192.69
% 192.28/192.69 Intermediate Status:
% 192.28/192.69 Generated: 383925
% 192.28/192.69 Kept: 43551
% 192.28/192.69 Inuse: 605
% 192.28/192.69 Deleted: 376
% 192.28/192.69 Deletedinuse: 0
% 192.28/192.69
% 192.28/192.69 Resimplifying inuse:
% 192.28/192.69 Done
% 192.28/192.69
% 192.28/192.69 *** allocated 2919240 integers for clauses
% 192.28/192.69 Resimplifying inuse:
% 192.28/192.69 Done
% 192.28/192.69
% 192.28/192.69
% 192.28/192.69 Intermediate Status:
% 192.28/192.69 Generated: 413303
% 192.28/192.69 Kept: 45639
% 192.28/192.69 Inuse: 624
% 192.28/192.69 Deleted: 376
% 192.28/192.69 Deletedinuse: 0
% 192.28/192.69
% 192.28/192.69 Resimplifying inuse:
% 192.28/192.69 Done
% 192.28/192.69
% 192.28/192.69 Resimplifying inuse:
% 192.28/192.69 Done
% 192.28/192.69
% 192.28/192.69
% 192.28/192.69 Intermediate Status:
% 192.28/192.69 Generated: 435894
% 192.28/192.69 Kept: 47704
% 192.28/192.69 Inuse: 643
% 192.28/192.69 Deleted: 376
% 192.28/192.69 Deletedinuse: 0
% 192.28/192.69
% 192.28/192.69 Resimplifying inuse:
% 192.28/192.69 Done
% 192.28/192.69
% 192.28/192.69
% 192.28/192.69 Intermediate Status:
% 192.28/192.69 Generated: 468355
% 192.28/192.69 Kept: 49782
% 192.28/192.69 Inuse: 654
% 192.28/192.69 Deleted: 376
% 192.28/192.69 Deletedinuse: 0
% 192.28/192.69
% 192.28/192.69 Resimplifying inuse:
% 192.28/192.69 Done
% 192.28/192.69
% 192.28/192.69 Resimplifying inuse:
% 192.28/192.69 Done
% 192.28/192.69
% 192.28/192.69
% 192.28/192.69 Intermediate Status:
% 192.28/192.69 Generated: 487073
% 192.28/192.69 Kept: 53151
% 192.28/192.69 Inuse: 663
% 192.28/192.69 Deleted: 376
% 192.28/192.69 Deletedinuse: 0
% 192.28/192.69
% 192.28/192.69 Resimplifying inuse:
% 192.28/192.69 Done
% 192.28/192.69
% 192.28/192.69
% 192.28/192.69 Intermediate Status:
% 192.28/192.69 Generated: 493534
% 192.28/192.69 Kept: 55479
% 192.28/192.69 Inuse: 664
% 192.28/192.69 Deleted: 376
% 192.28/192.69 Deletedinuse: 0
% 192.28/192.69
% 192.28/192.69 Resimplifying inuse:
% 192.28/192.69 Done
% 192.28/192.69
% 192.28/192.69
% 192.28/192.69 Intermediate Status:
% 192.28/192.69 Generated: 498275
% 192.28/192.69 Kept: 57733
% 192.28/192.69 Inuse: 665
% 192.28/192.69 Deleted: 376
% 192.28/192.69 Deletedinuse: 0
% 192.28/192.69
% 192.28/192.69 Resimplifying inuse:
% 192.28/192.69 Done
% 192.28/192.69
% 192.28/192.69
% 192.28/192.69 Intermediate Status:
% 192.28/192.69 Generated: 507182
% 192.28/192.69 Kept: 60754
% 192.28/192.69 Inuse: 669
% 192.28/192.69 Deleted: 376
% 192.28/192.69 Deletedinuse: 0
% 192.28/192.69
% 192.28/192.69 Resimplifying inuse:
% 192.28/192.69 Done
% 192.28/192.69
% 192.28/192.69 Resimplifying clauses:
% 192.28/192.69 Done
% 192.28/192.69
% 192.28/192.69 Resimplifying inuse:
% 192.28/192.69 Done
% 192.28/192.69
% 192.28/192.69
% 192.28/192.69 Intermediate Status:
% 192.28/192.69 Generated: 522506
% 192.28/192.69 Kept: 62765
% 192.28/192.69 Inuse: 680
% 192.28/192.69 Deleted: 468
% 192.28/192.69 Deletedinuse: 0
% 192.28/192.69
% 192.28/192.69 Resimplifying inuse:
% 192.28/192.69 Done
% 192.28/192.69
% 192.28/192.69 *** allocated 1946160 integers for termspace/termends
% 192.28/192.69 Resimplifying inuse:
% 192.28/192.69 Done
% 192.28/192.69
% 192.28/192.69
% 192.28/192.69 Intermediate Status:
% 192.28/192.69 Generated: 538307
% 192.28/192.69 Kept: 64781
% 192.28/192.69 Inuse: 695
% 192.28/192.69 Deleted: 468
% 192.28/192.69 Deletedinuse: 0
% 192.28/192.69
% 192.28/192.69 Resimplifying inuse:
% 192.28/192.69 Done
% 192.28/192.69
% 192.28/192.69
% 192.28/192.69 Intermediate Status:
% 192.28/192.69 Generated: 575684
% 192.28/192.69 Kept: 66831
% 192.28/192.69 Inuse: 709
% 192.28/192.69 Deleted: 468
% 192.28/192.69 Deletedinuse: 0
% 192.28/192.69
% 192.28/192.69 Resimplifying inuse:
% 192.28/192.69 Done
% 192.28/192.69
% 192.28/192.69 *** allocated 4378860 integers for clauses
% 192.28/192.69 Resimplifying inuse:
% 192.28/192.69 Done
% 192.28/192.69
% 192.28/192.69
% 192.28/192.69 Intermediate Status:
% 192.28/192.69 Generated: 672932
% 192.28/192.69 Kept: 68921
% 192.28/192.69 Inuse: 723
% 192.28/192.69 Deleted: 468
% 192.28/192.69 Deletedinuse: 0
% 192.28/192.69
% 192.28/192.69 Resimplifying inuse:
% 192.28/192.69 Done
% 192.28/192.69
% 192.28/192.69 Resimplifying inuse:
% 192.28/192.69 Done
% 192.28/192.69
% 192.28/192.69
% 192.28/192.69 Intermediate Status:
% 192.28/192.69 Generated: 713532
% 192.28/192.69 Kept: 70984
% 192.28/192.69 Inuse: 731
% 192.28/192.69 Deleted: 468
% 192.28/192.69 Deletedinuse: 0
% 192.28/192.69
% 192.28/192.69 Resimplifying inuse:
% 192.28/192.69 Done
% 192.28/192.69
% 192.28/192.69 Resimplifying inuse:
% 192.28/192.69 Done
% 192.28/192.69
% 192.28/192.69
% 192.28/192.69 Intermediate Status:
% 192.28/192.69 Generated: 739559
% 192.28/192.69 Kept: 73010
% 192.28/192.69 Inuse: 747
% 192.28/192.69 Deleted: 468
% 192.28/192.69 Deletedinuse: 0
% 192.28/192.69
% 192.28/192.69 Resimplifying inuse:
% 192.28/192.69 Done
% 192.28/192.69
% 192.28/192.69 Resimplifying inuse:
% 192.28/192.69 Done
% 192.28/192.69
% 192.28/192.69
% 192.28/192.69 Intermediate Status:
% 192.28/192.69 Generated: 786262
% 192.28/192.69 Kept: 75324
% 192.28/192.69 Inuse: 759
% 192.28/192.69 Deleted: 468
% 192.28/192.69 Deletedinuse: 0
% 192.28/192.69
% 192.28/192.69 Resimplifying inuse:
% 192.28/192.69 Done
% 192.28/192.69
% 192.28/192.69 Resimplifying inuse:
% 192.28/192.69 Done
% 192.28/192.69
% 192.28/192.69
% 192.28/192.69 Intermediate Status:
% 192.28/192.69 Generated: 804461
% 192.28/192.69 Kept: 77386
% 192.28/192.69 Inuse: 777
% 192.28/192.69 Deleted: 469
% 192.28/192.69 Deletedinuse: 1
% 192.28/192.69
% 192.28/192.69 Resimplifying inuse:
% 192.28/192.69 Done
% 192.28/192.69
% 192.28/192.69 Resimplifying inuse:
% 192.28/192.69 Done
% 192.28/192.69
% 192.28/192.69
% 192.28/192.69 Intermediate Status:
% 192.28/192.69 Generated: 831931
% 192.28/192.69 Kept: 79400
% 192.28/192.69 Inuse: 800
% 192.28/192.69 Deleted: 470
% 192.28/192.69 Deletedinuse: 2
% 192.28/192.69
% 192.28/192.69 Resimplifying inuse:
% 192.28/192.69 Done
% 192.28/192.69
% 192.28/192.69 Resimplifying clauses:
% 192.28/192.69 Done
% 192.28/192.69
% 192.28/192.69
% 192.28/192.69 Intermediate Status:
% 192.28/192.69 Generated: 856646
% 192.28/192.69 Kept: 81404
% 192.28/192.69 Inuse: 818
% 192.28/192.69 Deleted: 910
% 192.28/192.69 Deletedinuse: 2
% 192.28/192.69
% 192.28/192.69 Resimplifying inuse:
% 192.28/192.69 Done
% 192.28/192.69
% 192.28/192.69 Resimplifying inuse:
% 192.28/192.69 Done
% 192.28/192.69
% 192.28/192.69
% 192.28/192.69 Intermediate Status:
% 192.28/192.69 Generated: 897885
% 192.28/192.69 Kept: 85140
% 192.28/192.69 Inuse: 834
% 192.28/192.69 Deleted: 911
% 192.28/192.69 Deletedinuse: 3
% 192.28/192.69
% 192.28/192.69 Resimplifying inuse:
% 192.28/192.69 Done
% 192.28/192.69
% 192.28/192.69 Resimplifying inuse:
% 192.28/192.69 Done
% 192.28/192.69
% 192.28/192.69 *** allocated 2919240 integers for termspace/termends
% 192.28/192.69
% 192.28/192.69 Intermediate Status:
% 192.28/192.69 Generated: 963551
% 192.28/192.69 Kept: 88031
% 192.28/192.69 Inuse: 849
% 192.28/192.69 Deleted: 911
% 192.28/192.69 Deletedinuse: 3
% 192.28/192.69
% 192.28/192.69 Resimplifying inuse:
% 192.28/192.69 Done
% 192.28/192.69
% 192.28/192.69 Resimplifying inuse:
% 192.28/192.69 Done
% 192.28/192.69
% 192.28/192.69
% 192.28/192.69 Intermediate Status:
% 192.28/192.69 Generated: 1002692
% 192.28/192.69 Kept: 91557
% 192.28/192.69 Inuse: 859
% 192.28/192.69 Deleted: 911
% 192.28/192.69 Deletedinuse: 3
% 192.28/192.69
% 192.28/192.69 Resimplifying inuse:
% 192.28/192.69 Done
% 192.28/192.69
% 192.28/192.69 Resimplifying inuse:
% 192.28/192.69 Done
% 192.28/192.69
% 192.28/192.69
% 192.28/192.69 Bliksems!, er is een bewijs:
% 192.28/192.69 % SZS status Theorem
% 192.28/192.69 % SZS output start Refutation
% 192.28/192.69
% 192.28/192.69 (210) {G0,W12,D4,L2,V3,M2} I { X = Y, reflect( X, Y, reflect( X, Y, Z ) )
% 192.28/192.69 ==> Z }.
% 192.28/192.69 (211) {G0,W3,D2,L1,V0,M1} I { ! skol2 ==> skol1 }.
% 192.28/192.69 (212) {G0,W9,D3,L1,V0,M1} I { reflect( skol1, skol2, skol4 ) ==> reflect(
% 192.28/192.69 skol1, skol2, skol3 ) }.
% 192.28/192.69 (213) {G0,W3,D2,L1,V0,M1} I { ! skol4 ==> skol3 }.
% 192.28/192.69 (91986) {G1,W6,D2,L2,V0,M2} P(212,210);d(210) { skol2 ==> skol1, skol4 ==>
% 192.28/192.69 skol3 }.
% 192.28/192.69 (92575) {G2,W0,D0,L0,V0,M0} S(91986);r(211);r(213) { }.
% 192.28/192.69
% 192.28/192.69
% 192.28/192.69 % SZS output end Refutation
% 192.28/192.69 found a proof!
% 192.28/192.69
% 192.28/192.69
% 192.28/192.69 Unprocessed initial clauses:
% 192.28/192.69
% 192.28/192.69 (92577) {G0,W5,D2,L1,V2,M1} { s_e( X, Y, Y, X ) }.
% 192.28/192.69 (92578) {G0,W15,D2,L3,V6,M3} { ! s_e( X, Y, Z, T ), ! s_e( X, Y, U, W ),
% 192.28/192.69 s_e( Z, T, U, W ) }.
% 192.28/192.69 (92579) {G0,W8,D2,L2,V3,M2} { ! s_e( X, Y, Z, Z ), X = Y }.
% 192.28/192.69 (92580) {G0,W8,D3,L1,V4,M1} { s_t( X, Y, ext( X, Y, Z, T ) ) }.
% 192.28/192.69 (92581) {G0,W9,D3,L1,V4,M1} { s_e( Y, ext( X, Y, Z, T ), Z, T ) }.
% 192.28/192.69 (92582) {G0,W36,D2,L8,V8,M8} { ! s_e( X, Y, Z, T ), ! s_e( Y, U, T, W ), !
% 192.28/192.69 s_e( X, V0, Z, V1 ), ! s_e( Y, V0, T, V1 ), ! s_t( X, Y, U ), ! s_t( Z,
% 192.28/192.69 T, W ), X = Y, s_e( U, V0, W, V1 ) }.
% 192.28/192.69 (92583) {G0,W7,D2,L2,V2,M2} { ! s_t( X, Y, X ), X = Y }.
% 192.28/192.69 (92584) {G0,W17,D3,L3,V5,M3} { ! s_t( X, Y, Z ), ! s_t( T, U, Z ), s_t( Y
% 192.28/192.69 , ip( X, Y, Z, T, U ), T ) }.
% 192.28/192.69 (92585) {G0,W17,D3,L3,V5,M3} { ! s_t( X, Y, Z ), ! s_t( T, U, Z ), s_t( U
% 192.28/192.69 , ip( X, Y, Z, T, U ), X ) }.
% 192.28/192.69 (92586) {G0,W4,D2,L1,V0,M1} { ! s_t( alpha, beta, gamma ) }.
% 192.28/192.69 (92587) {G0,W4,D2,L1,V0,M1} { ! s_t( beta, gamma, alpha ) }.
% 192.28/192.69 (92588) {G0,W4,D2,L1,V0,M1} { ! s_t( gamma, alpha, beta ) }.
% 192.28/192.69 (92589) {G0,W5,D2,L1,V2,M1} { s_e( X, Y, X, Y ) }.
% 192.28/192.69 (92590) {G0,W10,D2,L2,V4,M2} { ! s_e( X, Y, Z, T ), s_e( Z, T, X, Y ) }.
% 192.28/192.69 (92591) {G0,W15,D2,L3,V6,M3} { ! s_e( X, Y, Z, T ), ! s_e( Z, T, U, W ),
% 192.28/192.69 s_e( X, Y, U, W ) }.
% 192.28/192.69 (92592) {G0,W10,D2,L2,V4,M2} { ! s_e( X, Y, Z, T ), s_e( Y, X, Z, T ) }.
% 192.28/192.69 (92593) {G0,W10,D2,L2,V4,M2} { ! s_e( X, Y, Z, T ), s_e( X, Y, T, Z ) }.
% 192.28/192.69 (92594) {G0,W5,D2,L1,V2,M1} { s_e( X, X, Y, Y ) }.
% 192.28/192.69 (92595) {G0,W23,D2,L5,V6,M5} { ! s_t( X, Y, Z ), ! s_t( T, U, W ), ! s_e(
% 192.28/192.69 X, Y, T, U ), ! s_e( Y, Z, U, W ), s_e( X, Z, T, W ) }.
% 192.28/192.69 (92596) {G0,W19,D3,L4,V5,M4} { X = Y, ! s_t( X, Y, Z ), ! s_e( Y, Z, T, U
% 192.28/192.69 ), Z = ext( X, Y, T, U ) }.
% 192.28/192.69 (92597) {G0,W8,D2,L2,V3,M2} { ! s_e( X, Y, Z, Z ), X = Y }.
% 192.28/192.69 (92598) {G0,W10,D2,L2,V4,M2} { ! s_e( X, Y, Z, T ), s_e( Y, X, T, Z ) }.
% 192.28/192.69 (92599) {G0,W23,D2,L5,V6,M5} { ! s_t( X, Y, Z ), ! s_t( T, U, W ), ! s_e(
% 192.28/192.69 X, Y, U, W ), ! s_e( Y, Z, T, U ), s_e( X, Z, T, W ) }.
% 192.28/192.69 (92600) {G0,W4,D2,L1,V2,M1} { s_t( X, Y, Y ) }.
% 192.28/192.69 (92601) {G0,W8,D2,L2,V3,M2} { ! s_t( X, Y, Z ), s_t( Z, Y, X ) }.
% 192.28/192.69 (92602) {G0,W4,D2,L1,V2,M1} { s_t( X, X, Y ) }.
% 192.28/192.69 (92603) {G0,W11,D2,L3,V3,M3} { ! s_t( X, Y, Z ), ! s_t( Y, X, Z ), X = Y
% 192.28/192.69 }.
% 192.28/192.69 (92604) {G0,W12,D2,L3,V4,M3} { ! s_t( X, Y, Z ), ! s_t( Y, T, Z ), s_t( X
% 192.28/192.69 , Y, T ) }.
% 192.28/192.69 (92605) {G0,W12,D2,L3,V4,M3} { ! s_t( X, Y, Z ), ! s_t( X, Z, T ), s_t( Y
% 192.28/192.69 , Z, T ) }.
% 192.28/192.69 (92606) {G0,W15,D2,L4,V4,M4} { ! s_t( X, Y, Z ), ! s_t( Y, Z, T ), Y = Z,
% 192.28/192.69 s_t( X, Z, T ) }.
% 192.28/192.69 (92607) {G0,W12,D2,L3,V4,M3} { ! s_t( X, Y, Z ), ! s_t( Y, T, Z ), s_t( X
% 192.28/192.69 , T, Z ) }.
% 192.28/192.69 (92608) {G0,W12,D2,L3,V4,M3} { ! s_t( X, Y, Z ), ! s_t( X, Z, T ), s_t( X
% 192.28/192.69 , Y, T ) }.
% 192.28/192.69 (92609) {G0,W15,D2,L4,V4,M4} { ! s_t( X, Y, Z ), ! s_t( Y, Z, T ), Y = Z,
% 192.28/192.69 s_t( X, Y, T ) }.
% 192.28/192.69 (92610) {G0,W3,D2,L1,V0,M1} { ! alpha = beta }.
% 192.28/192.69 (92611) {G0,W3,D2,L1,V0,M1} { ! beta = gamma }.
% 192.28/192.69 (92612) {G0,W3,D2,L1,V0,M1} { ! alpha = gamma }.
% 192.28/192.69 (92613) {G0,W8,D3,L1,V2,M1} { s_t( X, Y, ext( X, Y, alpha, gamma ) ) }.
% 192.28/192.69 (92614) {G0,W7,D3,L1,V2,M1} { ! X = ext( Y, X, alpha, gamma ) }.
% 192.28/192.69 (92615) {G0,W22,D3,L4,V6,M4} { ! s_t( X, Y, Z ), ! s_t( T, U, Z ), ! s_t(
% 192.28/192.69 X, W, T ), s_t( W, crossbar( X, Y, Z, T, U, W ), Z ) }.
% 192.28/192.69 (92616) {G0,W22,D3,L4,V6,M4} { ! s_t( X, Y, Z ), ! s_t( T, U, Z ), ! s_t(
% 192.28/192.69 X, W, T ), s_t( Y, crossbar( X, Y, Z, T, U, W ), U ) }.
% 192.28/192.69 (92617) {G0,W14,D2,L2,V8,M2} { ! s_ifs( U, X, W, Y, V0, Z, V1, T ), s_e( X
% 192.28/192.69 , Y, Z, T ) }.
% 192.28/192.69 (92618) {G0,W23,D2,L5,V6,M5} { ! s_t( X, Y, Z ), ! s_t( T, U, W ), ! s_e(
% 192.28/192.69 X, Z, T, W ), ! s_e( Y, Z, U, W ), s_e( X, Y, T, U ) }.
% 192.28/192.69 (92619) {G0,W17,D3,L3,V5,M3} { ! s_t( X, Y, Z ), ! s_e( X, Z, T, U ), s_t
% 192.28/192.69 ( T, insert( X, Y, T, U ), U ) }.
% 192.28/192.69 (92620) {G0,W20,D3,L3,V5,M3} { ! s_t( X, Y, Z ), ! s_e( X, Z, T, U ), s_e3
% 192.28/192.69 ( X, Y, Z, T, insert( X, Y, T, U ), U ) }.
% 192.28/192.69 (92621) {G0,W15,D2,L3,V6,M3} { ! s_t( X, Y, Z ), ! s_e3( X, Y, Z, T, U, W
% 192.28/192.69 ), s_t( T, U, W ) }.
% 192.28/192.69 (92622) {G0,W8,D2,L2,V3,M2} { ! s_col( X, Y, Z ), s_col( Y, Z, X ) }.
% 192.28/192.69 (92623) {G0,W8,D2,L2,V3,M2} { ! s_col( X, Y, Z ), s_col( Z, X, Y ) }.
% 192.28/192.69 (92624) {G0,W8,D2,L2,V3,M2} { ! s_col( X, Y, Z ), s_col( Z, Y, X ) }.
% 192.28/192.69 (92625) {G0,W8,D2,L2,V3,M2} { ! s_col( X, Y, Z ), s_col( Y, X, Z ) }.
% 192.28/192.69 (92626) {G0,W8,D2,L2,V3,M2} { ! s_col( X, Y, Z ), s_col( X, Z, Y ) }.
% 192.28/192.69 (92627) {G0,W4,D2,L1,V2,M1} { s_col( X, X, Y ) }.
% 192.28/192.69 (92628) {G0,W4,D2,L1,V2,M1} { s_col( X, Y, X ) }.
% 192.28/192.69 (92629) {G0,W15,D2,L3,V6,M3} { ! s_col( X, Y, Z ), ! s_e3( X, Y, Z, T, U,
% 192.28/192.69 W ), s_col( T, U, W ) }.
% 192.28/192.69 (92630) {G0,W21,D3,L3,V5,M3} { ! s_col( X, Y, Z ), ! s_e( X, Y, T, U ),
% 192.28/192.69 s_e3( X, Y, Z, T, U, insert5( X, Y, Z, T, U ) ) }.
% 192.28/192.69 (92631) {G0,W17,D2,L3,V8,M3} { ! s_fs( X, Y, Z, T, V0, V1, U, W ), X = Y,
% 192.28/192.69 s_e( Z, T, U, W ) }.
% 192.28/192.69 (92632) {G0,W22,D2,L5,V5,M5} { X = Y, ! s_col( X, Y, Z ), ! s_e( X, T, X,
% 192.28/192.69 U ), ! s_e( Y, T, Y, U ), s_e( Z, T, Z, U ) }.
% 192.28/192.69 (92633) {G0,W20,D2,L5,V4,M5} { X = Y, ! s_col( X, Y, Z ), ! s_e( X, Z, X,
% 192.28/192.69 T ), ! s_e( Y, Z, Y, T ), Z = T }.
% 192.28/192.69 (92634) {G0,W17,D2,L4,V4,M4} { ! s_t( X, Y, Z ), ! s_e( X, Y, X, T ), !
% 192.28/192.69 s_e( Z, Y, Z, T ), Y = T }.
% 192.28/192.69 (92635) {G0,W19,D2,L5,V4,M5} { X = Y, ! s_t( X, Y, Z ), ! s_t( X, Y, T ),
% 192.28/192.69 s_t( X, Z, T ), s_t( X, T, Z ) }.
% 192.28/192.69 (92636) {G0,W19,D2,L5,V4,M5} { X = Y, ! s_t( X, Y, Z ), ! s_t( X, Y, T ),
% 192.28/192.69 s_t( Y, Z, T ), s_t( Y, T, Z ) }.
% 192.28/192.69 (92637) {G0,W16,D2,L4,V4,M4} { ! s_t( X, Y, Z ), ! s_t( X, T, Z ), s_t( X
% 192.28/192.69 , Y, T ), s_t( X, T, Y ) }.
% 192.28/192.69 (92638) {G0,W13,D3,L2,V4,M2} { ! le( X, Y, Z, T ), s_t( X, Y, ins( Z, T, X
% 192.28/192.69 , Y ) ) }.
% 192.28/192.69 (92639) {G0,W14,D3,L2,V4,M2} { ! le( X, Y, Z, T ), s_e( X, ins( Z, T, X, Y
% 192.28/192.69 ), Z, T ) }.
% 192.28/192.69 (92640) {G0,W20,D4,L2,V4,M2} { ! le( X, Y, Z, T ), ins( Z, T, X, Y ) = ext
% 192.28/192.69 ( X, Y, insert( X, Y, Z, T ), T ) }.
% 192.28/192.69 (92641) {G0,W14,D2,L3,V5,M3} { le( X, Y, Z, T ), ! s_t( X, Y, U ), ! s_e(
% 192.28/192.69 X, U, Z, T ) }.
% 192.28/192.69 (92642) {G0,W20,D2,L4,V8,M4} { ! le( X, Y, Z, T ), ! s_e( X, Y, U, W ), !
% 192.28/192.69 s_e( Z, T, V0, V1 ), le( U, W, V0, V1 ) }.
% 192.28/192.69 (92643) {G0,W5,D2,L1,V2,M1} { le( X, Y, X, Y ) }.
% 192.28/192.69 (92644) {G0,W15,D2,L3,V6,M3} { ! le( X, Y, Z, T ), ! le( Z, T, U, W ), le
% 192.28/192.69 ( X, Y, U, W ) }.
% 192.28/192.69 (92645) {G0,W15,D2,L3,V4,M3} { ! le( X, Y, Z, T ), ! le( Z, T, X, Y ), s_e
% 192.28/192.69 ( X, Y, Z, T ) }.
% 192.28/192.69 (92646) {G0,W10,D2,L2,V4,M2} { le( X, Y, Z, T ), le( Z, T, X, Y ) }.
% 192.28/192.69 (92647) {G0,W5,D2,L1,V3,M1} { le( X, X, Y, Z ) }.
% 192.28/192.69 (92648) {G0,W13,D2,L3,V3,M3} { ! s_col( X, Y, Z ), ! s_t( X, Y, Z ), le( X
% 192.28/192.69 , Y, X, Z ) }.
% 192.28/192.69 (92649) {G0,W13,D2,L3,V3,M3} { ! s_col( X, Y, Z ), ! s_t( X, Y, Z ), le( Y
% 192.28/192.69 , Z, X, Z ) }.
% 192.28/192.69 (92650) {G0,W12,D2,L3,V3,M3} { ! s_t( X, Y, Z ), ! s_e( X, Z, X, Y ), Z =
% 192.28/192.69 Y }.
% 192.28/192.69 (92651) {G0,W18,D2,L4,V3,M4} { ! s_col( X, Y, Z ), s_t( X, Y, Z ), ! le( X
% 192.28/192.69 , Y, X, Z ), ! le( Y, Z, X, Z ) }.
% 192.28/192.69 (92652) {G0,W21,D2,L6,V4,M6} { X = Y, Z = Y, T = Y, ! s_t( X, Y, T ), !
% 192.28/192.69 s_t( Z, Y, T ), sameside( X, Y, Z ) }.
% 192.28/192.69 (92653) {G0,W21,D2,L6,V4,M6} { X = Y, Z = Y, T = Y, ! s_t( X, Y, T ), s_t
% 192.28/192.69 ( Z, Y, T ), ! sameside( X, Y, Z ) }.
% 192.28/192.69 (92654) {G0,W7,D2,L2,V3,M2} { ! sameside( X, Y, Z ), ! X = Y }.
% 192.28/192.69 (92655) {G0,W7,D2,L2,V3,M2} { ! sameside( X, Y, Z ), ! Z = Y }.
% 192.28/192.69 (92656) {G0,W10,D3,L2,V3,M2} { ! sameside( X, Y, Z ), ! c63( X, Y, Z ) = Y
% 192.28/192.69 }.
% 192.28/192.69 (92657) {G0,W11,D3,L2,V3,M2} { ! sameside( X, Y, Z ), s_t( X, Y, c63( X, Y
% 192.28/192.69 , Z ) ) }.
% 192.28/192.69 (92658) {G0,W11,D3,L2,V3,M2} { ! sameside( X, Y, Z ), s_t( Z, Y, c63( X, Y
% 192.28/192.69 , Z ) ) }.
% 192.28/192.69 (92659) {G0,W21,D2,L6,V4,M6} { sameside( X, Y, Z ), X = Y, Z = Y, T = Y, !
% 192.28/192.69 s_t( X, Y, T ), ! s_t( Z, Y, T ) }.
% 192.28/192.69 (92660) {G0,W8,D2,L2,V3,M2} { ! sameside( X, Y, Z ), s_col( X, Y, Z ) }.
% 192.28/192.69 (92661) {G0,W8,D2,L2,V3,M2} { ! sameside( X, Y, Z ), ! s_t( X, Y, Z ) }.
% 192.28/192.69 (92662) {G0,W12,D2,L3,V3,M3} { sameside( X, Y, Z ), ! s_col( X, Y, Z ),
% 192.28/192.69 s_t( X, Y, Z ) }.
% 192.28/192.69 (92663) {G0,W7,D2,L2,V2,M2} { X = Y, sameside( X, Y, X ) }.
% 192.28/192.69 (92664) {G0,W8,D2,L2,V3,M2} { ! sameside( X, Y, Z ), sameside( Z, Y, X )
% 192.28/192.69 }.
% 192.28/192.69 (92665) {G0,W12,D2,L3,V4,M3} { ! sameside( X, Y, Z ), ! sameside( Z, Y, T
% 192.28/192.69 ), sameside( X, Y, T ) }.
% 192.28/192.69 (92666) {G0,W14,D3,L3,V4,M3} { X = Y, Z = T, sameside( insert( Z, T, Y, X
% 192.28/192.69 ), Y, X ) }.
% 192.28/192.69 (92667) {G0,W15,D3,L3,V4,M3} { X = Y, Z = T, s_e( Y, insert( Z, T, Y, X )
% 192.28/192.69 , Z, T ) }.
% 192.28/192.69 (92668) {G0,W27,D2,L7,V6,M7} { X = Y, Z = T, ! sameside( U, Y, X ), ! s_e
% 192.28/192.69 ( Y, U, Z, T ), ! sameside( W, Y, X ), ! s_e( Y, W, Z, T ), U = W }.
% 192.28/192.69 (92669) {G0,W13,D2,L3,V3,M3} { ! sameside( X, Y, Z ), ! le( Y, X, Y, Z ),
% 192.28/192.69 s_t( Y, X, Z ) }.
% 192.28/192.69 (92670) {G0,W13,D2,L3,V3,M3} { ! sameside( X, Y, Z ), le( Y, X, Y, Z ), !
% 192.28/192.69 s_t( Y, X, Z ) }.
% 192.28/192.69 (92671) {G0,W25,D2,L7,V4,M7} { X = Y, X = Z, ! s_t( Y, X, Z ), ! s_col( T
% 192.28/192.69 , X, Y ), T = X, sameside( T, X, Y ), sameside( T, X, Z ) }.
% 192.28/192.69 (92672) {G0,W18,D2,L5,V4,M5} { X = Y, X = Z, ! s_t( Y, X, Z ), ! sameside
% 192.28/192.69 ( T, X, Y ), s_col( T, X, Y ) }.
% 192.28/192.69 (92673) {G0,W18,D2,L5,V4,M5} { X = Y, X = Z, ! s_t( Y, X, Z ), ! sameside
% 192.28/192.69 ( T, X, Z ), s_col( T, X, Y ) }.
% 192.28/192.69 (92674) {G0,W17,D2,L5,V4,M5} { X = Y, X = Z, ! s_t( Y, X, Z ), ! T = X,
% 192.28/192.69 s_col( T, X, Y ) }.
% 192.28/192.69 (92675) {G0,W19,D2,L5,V4,M5} { X = Y, ! s_t( Z, X, Y ), ! s_t( T, X, Y ),
% 192.28/192.69 s_t( T, Z, Y ), s_t( Z, T, Y ) }.
% 192.28/192.69 (92676) {G0,W18,D2,L5,V4,M5} { X = Y, Z = X, ! s_col( X, Y, Z ), ! s_col(
% 192.28/192.69 X, Y, T ), s_col( X, Z, T ) }.
% 192.28/192.69 (92677) {G0,W7,D2,L2,V2,M2} { X = Y, s_col( X, Y, X ) }.
% 192.28/192.69 (92678) {G0,W11,D2,L3,V3,M3} { X = Y, ! s_col( X, Y, Z ), s_col( Y, X, Z )
% 192.28/192.69 }.
% 192.28/192.69 (92679) {G0,W22,D2,L6,V5,M6} { X = Y, Z = T, ! s_col( Z, T, X ), ! s_col(
% 192.28/192.69 Z, T, Y ), ! s_col( Z, T, U ), s_col( X, Y, U ) }.
% 192.28/192.69 (92680) {G0,W33,D2,L9,V7,M9} { X = Y, Z = T, ! s_col( X, Y, U ), ! s_col(
% 192.28/192.69 Z, T, U ), ! s_col( X, Y, W ), ! s_col( Z, T, W ), U = W, ! s_col( X, Y,
% 192.28/192.69 V0 ), s_col( Z, T, V0 ) }.
% 192.28/192.69 (92681) {G0,W9,D3,L2,V2,M2} { X = Y, ! s_col( X, Y, pointOffLine( X, Y ) )
% 192.28/192.69 }.
% 192.28/192.69 (92682) {G0,W23,D2,L5,V6,M5} { ! sameside( X, Y, Z ), ! sameside( T, U, W
% 192.28/192.69 ), ! s_e( Y, X, U, T ), ! s_e( Y, Z, U, W ), s_e( X, Z, T, W ) }.
% 192.28/192.69 (92683) {G0,W8,D2,L2,V3,M2} { ! s_m( X, Y, Z ), s_m( Z, Y, X ) }.
% 192.28/192.69 (92684) {G0,W7,D2,L2,V2,M2} { ! s_m( X, Y, X ), Y = X }.
% 192.28/192.69 (92685) {G0,W7,D2,L2,V2,M2} { s_m( X, Y, X ), ! Y = X }.
% 192.28/192.69 (92686) {G0,W6,D3,L1,V2,M1} { s_m( X, Y, s( Y, X ) ) }.
% 192.28/192.69 (92687) {G0,W11,D2,L3,V4,M3} { ! s_m( X, Y, Z ), ! s_m( X, Y, T ), Z = T
% 192.28/192.69 }.
% 192.28/192.69 (92688) {G0,W9,D3,L2,V3,M2} { ! s_m( X, Y, Z ), Z = s( Y, X ) }.
% 192.28/192.69 (92689) {G0,W7,D4,L1,V2,M1} { s( X, s( X, Y ) ) = Y }.
% 192.28/192.69 (92690) {G0,W13,D3,L3,V4,M3} { ! s( X, Y ) = Z, ! s( X, T ) = Z, Y = T }.
% 192.28/192.69 (92691) {G0,W10,D3,L2,V3,M2} { ! s( Z, X ) = s( Z, Y ), X = Y }.
% 192.28/192.69 (92692) {G0,W8,D3,L2,V2,M2} { ! s( X, Y ) = Y, Y = X }.
% 192.28/192.69 (92693) {G0,W8,D3,L2,V2,M2} { s( X, Y ) = Y, ! Y = X }.
% 192.28/192.69 (92694) {G0,W9,D3,L1,V3,M1} { s_e( X, Y, s( Z, X ), s( Z, Y ) ) }.
% 192.28/192.69 (92695) {G0,W14,D3,L2,V4,M2} { ! s_t( X, Y, Z ), s_t( s( T, X ), s( T, Y )
% 192.28/192.69 , s( T, Z ) ) }.
% 192.28/192.69 (92696) {G0,W14,D3,L2,V4,M2} { s_t( X, Y, Z ), ! s_t( s( T, X ), s( T, Y )
% 192.28/192.69 , s( T, Z ) ) }.
% 192.28/192.69 (92697) {G0,W18,D3,L2,V5,M2} { ! s_e( X, Y, Z, T ), s_e( s( U, X ), s( U,
% 192.28/192.69 Y ), s( U, Z ), s( U, T ) ) }.
% 192.28/192.69 (92698) {G0,W18,D3,L2,V5,M2} { s_e( X, Y, Z, T ), ! s_e( s( U, X ), s( U,
% 192.28/192.69 Y ), s( U, Z ), s( U, T ) ) }.
% 192.28/192.69 (92699) {G0,W11,D2,L3,V4,M3} { ! s_m( X, Y, Z ), ! s_m( X, T, Z ), Y = T
% 192.28/192.69 }.
% 192.28/192.69 (92700) {G0,W10,D3,L2,V3,M2} { ! s( X, Z ) = s( Y, Z ), X = Y }.
% 192.28/192.69 (92701) {G0,W14,D4,L2,V3,M2} { ! s( X, s( Y, Z ) ) = s( Y, s( X, Z ) ), X
% 192.28/192.69 = Y }.
% 192.28/192.69 (92702) {G0,W16,D2,L4,V3,M4} { ! s_col( X, Y, Z ), ! s_e( Y, X, Y, Z ), X
% 192.28/192.69 = Z, s_m( X, Y, Z ) }.
% 192.28/192.69 (92703) {G0,W29,D2,L7,V5,M7} { s_col( X, Y, Z ), Y = T, ! s_e( X, Y, Z, T
% 192.28/192.69 ), ! s_e( Y, Z, T, X ), ! s_col( X, U, Z ), ! s_col( Y, U, T ), s_m( X,
% 192.28/192.69 U, Z ) }.
% 192.28/192.69 (92704) {G0,W17,D2,L3,V7,M3} { ! s_kf( X, Y, W, Z, V0, T, U ), s_t( Y, Z,
% 192.28/192.69 T ), ! le( Z, X, Z, U ) }.
% 192.28/192.69 (92705) {G0,W12,D2,L2,V7,M2} { ! s_kf( T, X, U, Y, W, Z, V0 ), s_t( X, Y,
% 192.28/192.69 Z ) }.
% 192.28/192.69 (92706) {G0,W30,D2,L7,V7,M7} { ! s_t( X, Y, Z ), ! s_t( T, Y, U ), ! s_e(
% 192.28/192.69 Y, X, Y, T ), ! s_e( Y, Z, Y, U ), ! s_m( X, W, T ), ! s_m( Z, V0, U ),
% 192.28/192.69 s_t( W, Y, V0 ) }.
% 192.28/192.69 (92707) {G0,W12,D3,L2,V3,M2} { ! s_e( X, Y, X, Z ), s_m( Y, isomidpoint( Y
% 192.28/192.69 , Z, X ), Z ) }.
% 192.28/192.69 (92708) {G0,W8,D2,L2,V3,M2} { ! s_r( X, Y, Z ), s_r( Z, Y, X ) }.
% 192.28/192.69 (92709) {G0,W15,D2,L4,V4,M4} { ! s_r( X, Y, Z ), X = Y, ! s_col( Y, X, T )
% 192.28/192.69 , s_r( T, Y, Z ) }.
% 192.28/192.69 (92710) {G0,W10,D3,L2,V3,M2} { ! s_r( X, Y, Z ), s_r( X, Y, s( Y, Z ) )
% 192.28/192.69 }.
% 192.28/192.69 (92711) {G0,W4,D2,L1,V2,M1} { s_r( X, Y, Y ) }.
% 192.28/192.69 (92712) {G0,W15,D2,L4,V4,M4} { ! s_r( X, Y, Z ), ! s_r( T, Y, Z ), ! s_t(
% 192.28/192.69 X, Z, T ), Y = Z }.
% 192.28/192.69 (92713) {G0,W11,D2,L3,V3,M3} { ! s_r( X, Y, Z ), ! s_r( X, Z, Y ), Y = Z
% 192.28/192.69 }.
% 192.28/192.69 (92714) {G0,W7,D2,L2,V2,M2} { ! s_r( X, Y, X ), X = Y }.
% 192.28/192.69 (92715) {G0,W14,D2,L4,V3,M4} { ! s_r( X, Y, Z ), ! s_col( X, Y, Z ), X = Y
% 192.28/192.69 , Z = Y }.
% 192.28/192.69 (92716) {G0,W15,D2,L3,V6,M3} { ! s_r( X, Y, Z ), ! s_e3( X, Y, Z, T, U, W
% 192.28/192.69 ), s_r( T, U, W ) }.
% 192.28/192.69 (92717) {G0,W12,D2,L2,V5,M2} { ! perpAt( X, Y, Z, T, U ), perpAt( T, U, Z
% 192.28/192.69 , X, Y ) }.
% 192.28/192.69 (92718) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 192.28/192.69 }.
% 192.28/192.69 (92719) {G0,W9,D2,L2,V5,M2} { ! perpAt( X, Y, Z, T, U ), ! X = Y }.
% 192.28/192.69 (92720) {G0,W9,D2,L2,V5,M2} { ! perpAt( X, Y, Z, T, U ), ! T = U }.
% 192.28/192.69 (92721) {G0,W10,D2,L2,V5,M2} { ! perpAt( X, Y, Z, T, U ), s_col( T, U, Z )
% 192.28/192.69 }.
% 192.28/192.69 (92722) {G0,W10,D2,L2,V5,M2} { ! perpAt( X, Y, Z, T, U ), s_col( X, Y, Z )
% 192.28/192.69 }.
% 192.28/192.69 (92723) {G0,W15,D3,L2,V5,M2} { ! perpAt( X, Y, Z, T, U ), s_col( X, Y,
% 192.28/192.69 f813( X, Y, T, U, Z ) ) }.
% 192.28/192.69 (92724) {G0,W15,D3,L2,V5,M2} { ! perpAt( X, Y, Z, T, U ), s_col( T, U,
% 192.28/192.69 g813( X, Y, T, U, Z ) ) }.
% 192.28/192.69 (92725) {G0,W14,D3,L2,V5,M2} { ! perpAt( X, Y, Z, T, U ), ! Z = f813( X, Y
% 192.28/192.69 , T, U, Z ) }.
% 192.28/192.69 (92726) {G0,W14,D3,L2,V5,M2} { ! perpAt( X, Y, Z, T, U ), ! Z = g813( X, Y
% 192.28/192.69 , T, U, Z ) }.
% 192.28/192.69 (92727) {G0,W20,D3,L2,V5,M2} { ! perpAt( X, Y, Z, T, U ), s_r( f813( X, Y
% 192.28/192.69 , T, U, Z ), Z, g813( X, Y, T, U, Z ) ) }.
% 192.28/192.69 (92728) {G0,W38,D2,L10,V7,M10} { X = Y, Z = T, ! s_col( Z, T, U ), ! s_col
% 192.28/192.69 ( X, Y, U ), ! s_col( X, Y, W ), ! s_col( Z, T, V0 ), U = W, U = V0, !
% 192.28/192.69 s_r( W, U, V0 ), perpAt( X, Y, U, Z, T ) }.
% 192.28/192.69 (92729) {G0,W13,D2,L3,V4,M3} { ! perp( X, Y, Z, T ), ! s_col( X, Y, Z ), !
% 192.28/192.69 s_col( X, Y, T ) }.
% 192.28/192.69 (92730) {G0,W19,D2,L4,V5,M4} { ! perp( X, Y, Z, T ), ! s_col( X, Y, U ), !
% 192.28/192.69 s_col( Z, T, U ), perpAt( X, Y, U, Z, T ) }.
% 192.28/192.69 (92731) {G0,W13,D3,L2,V5,M2} { ! perpAt( X, Y, Z, T, U ), Z = il( X, Y, T
% 192.28/192.69 , U ) }.
% 192.28/192.69 (92732) {G0,W18,D2,L4,V4,M4} { X = Y, ! s_col( X, Y, Z ), ! perp( X, Y, T
% 192.28/192.69 , Z ), perpAt( X, Y, Z, T, Z ) }.
% 192.28/192.69 (92733) {G0,W23,D2,L6,V5,M6} { X = Y, ! s_col( X, Y, Z ), ! s_col( X, Y, T
% 192.28/192.69 ), T = Z, ! s_col( X, Y, U ), ! perp( X, Y, U, Z ) }.
% 192.28/192.69 (92734) {G0,W23,D2,L6,V5,M6} { X = Y, ! s_col( X, Y, Z ), ! s_col( X, Y, T
% 192.28/192.69 ), T = Z, s_r( U, Z, T ), ! perp( X, Y, U, Z ) }.
% 192.28/192.69 (92735) {G0,W27,D2,L7,V5,M7} { X = Y, ! s_col( X, Y, Z ), ! s_col( X, Y, T
% 192.28/192.69 ), T = Z, perp( X, Y, U, Z ), s_col( X, Y, U ), ! s_r( U, Z, T ) }.
% 192.28/192.69 (92736) {G0,W25,D2,L6,V5,M6} { s_col( X, Y, Z ), ! s_col( X, Y, T ), !
% 192.28/192.69 s_col( X, Y, U ), ! perp( X, Y, Z, T ), ! perp( X, Y, Z, U ), T = U }.
% 192.28/192.69 (92737) {G0,W11,D3,L2,V3,M2} { s_col( X, Y, Z ), s_col( X, Y, foot( X, Y,
% 192.28/192.69 Z ) ) }.
% 192.28/192.69 (92738) {G0,W12,D3,L2,V3,M2} { s_col( X, Y, Z ), perp( X, Y, Z, foot( X, Y
% 192.28/192.69 , Z ) ) }.
% 192.28/192.69 (92739) {G0,W16,D3,L3,V4,M3} { ! s_r( X, Y, Z ), ! s_m( s( X, Z ), T, s( Y
% 192.28/192.69 , Z ) ), s_r( Y, X, T ) }.
% 192.28/192.69 (92740) {G0,W18,D3,L4,V4,M4} { ! s_r( X, Y, Z ), ! s_m( s( X, Z ), T, s( Y
% 192.28/192.69 , Z ) ), Y = Z, ! X = T }.
% 192.28/192.69 (92741) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Y, X, Z, T )
% 192.28/192.69 }.
% 192.28/192.69 (92742) {G0,W22,D2,L6,V5,M6} { X = Y, Z = T, ! s_col( X, Y, Z ), ! s_col(
% 192.28/192.69 X, Y, T ), ! s_col( Z, T, U ), s_col( X, Y, U ) }.
% 192.28/192.69 (92743) {G0,W15,D3,L3,V3,M3} { X = Y, perp( X, Y, erect21a( X, Y, Z ), X )
% 192.28/192.69 , s_col( X, Y, Z ) }.
% 192.28/192.69 (92744) {G0,W14,D3,L3,V3,M3} { X = Y, s_col( X, Y, erectAux21a( X, Y, Z )
% 192.28/192.69 ), s_col( X, Y, Z ) }.
% 192.28/192.69 (92745) {G0,W17,D3,L3,V3,M3} { X = Y, s_t( Z, erectAux21a( X, Y, Z ),
% 192.28/192.69 erect21a( X, Y, Z ) ), s_col( X, Y, Z ) }.
% 192.28/192.69 (92746) {G0,W11,D3,L2,V3,M2} { X = Y, perp( X, Y, erect( X, Y, Z ), X )
% 192.28/192.69 }.
% 192.28/192.69 (92747) {G0,W10,D3,L2,V3,M2} { X = Y, s_col( X, Y, erectAux( X, Y, Z ) )
% 192.28/192.69 }.
% 192.28/192.69 (92748) {G0,W13,D3,L2,V3,M2} { X = Y, s_t( Z, erectAux( X, Y, Z ), erect(
% 192.28/192.69 X, Y, Z ) ) }.
% 192.28/192.69 (92749) {G0,W32,D3,L6,V5,M6} { ! le( X, Y, Z, T ), ! perp( X, Z, X, Y ), !
% 192.28/192.69 perp( X, Z, Z, T ), ! s_t( Y, U, T ), ! s_col( X, Z, U ), s_m( X,
% 192.28/192.69 midpointAux( X, Z, Y, T, U ), Z ) }.
% 192.28/192.69 (92750) {G0,W6,D3,L1,V2,M1} { s_m( X, midpoint( X, Y ), Y ) }.
% 192.28/192.69 (92751) {G0,W39,D3,L8,V7,M8} { ! perp( X, Y, Y, Z ), ! perp( T, Z, Y, Z )
% 192.28/192.69 , ! s_col( Y, Z, U ), ! s_t( X, U, T ), ! s_t( Z, W, T ), ! s_e( Y, X, Z
% 192.28/192.69 , W ), ! V0 = ip( X, U, T, Z, W ), s_m( Y, V0, Z ) }.
% 192.28/192.69 (92752) {G0,W39,D3,L8,V7,M8} { ! perp( X, Y, Y, Z ), ! perp( T, Z, Y, Z )
% 192.28/192.69 , ! s_col( Y, Z, U ), ! s_t( X, U, T ), ! s_t( Z, W, T ), ! s_e( Y, X, Z
% 192.28/192.69 , W ), ! V0 = ip( X, U, T, Z, W ), s_m( X, V0, W ) }.
% 192.28/192.69 (92753) {G0,W33,D3,L7,V6,M7} { ! perp( X, Y, Y, Z ), ! perp( T, Z, Y, Z )
% 192.28/192.69 , ! s_col( Y, Z, U ), ! s_t( X, U, T ), ! s_t( Z, W, T ), ! s_e( Y, X, Z
% 192.28/192.69 , W ), s_m( X, midpoint( Y, Z ), W ) }.
% 192.28/192.69 (92754) {G0,W15,D2,L4,V4,M4} { ! s_col( X, Y, Z ), ! s_col( X, Y, T ), X =
% 192.28/192.69 Y, s_col( X, Z, T ) }.
% 192.28/192.69 (92755) {G0,W26,D2,L6,V7,M6} { ! s_col( X, Y, Z ), ! s_col( X, Y, T ), Z =
% 192.28/192.69 T, X = Y, ! perpAt( Z, T, U, W, V0 ), perpAt( X, Y, U, W, V0 ) }.
% 192.28/192.69 (92756) {G0,W24,D2,L6,V6,M6} { ! s_col( X, Y, Z ), ! s_col( X, Y, T ), Z =
% 192.28/192.69 T, X = Y, ! perp( Z, T, U, W ), perp( X, Y, U, W ) }.
% 192.28/192.69 (92757) {G0,W29,D2,L8,V4,M8} { X = Y, X = Z, Y = Z, T = Z, X = T, ! perp(
% 192.28/192.69 Y, X, X, Z ), ! s_col( X, Z, T ), perp( Y, X, X, T ) }.
% 192.28/192.69 (92758) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 192.28/192.69 }.
% 192.28/192.69 (92759) {G0,W24,D2,L6,V6,M6} { ! s_col( X, Y, Z ), ! s_col( X, Y, T ), Z =
% 192.28/192.69 T, X = Y, perp( Z, T, U, W ), ! perp( X, Y, U, W ) }.
% 192.28/192.69 (92760) {G0,W24,D2,L6,V0,M6} { ! s_col( xa, xb, xp ), ! s_col( xa, xb, xq
% 192.28/192.69 ), xp = xq, xa = xb, perp( xc, xd, xp, xq ), ! perp( xc, xd, xa, xb )
% 192.28/192.69 }.
% 192.28/192.69 (92761) {G0,W20,D2,L5,V5,M5} { ! s_col( X, Y, Z ), X = Y, X = Z, !
% 192.28/192.69 samesideline( T, U, X, Y ), samesideline( T, U, X, Z ) }.
% 192.28/192.69 (92762) {G0,W13,D2,L3,V4,M3} { X = Y, ! samesideline( Z, T, X, Y ),
% 192.28/192.69 samesideline( Z, T, Y, X ) }.
% 192.28/192.69 (92763) {G0,W10,D2,L2,V4,M2} { ! opposite( X, Y, Z, T ), opposite( T, Y, Z
% 192.28/192.69 , X ) }.
% 192.28/192.69 (92764) {G0,W30,D2,L7,V7,M7} { ! opposite( X, Y, Z, T ), ! s_col( Y, Z, U
% 192.28/192.69 ), ! s_m( X, U, T ), ! s_col( Y, Z, W ), ! sameside( X, W, V0 ),
% 192.28/192.69 opposite( V0, Y, Z, T ), ! s_t( W, V0, X ) }.
% 192.28/192.69 (92765) {G0,W26,D2,L6,V7,M6} { ! opposite( X, Y, Z, T ), ! s_col( Y, Z, U
% 192.28/192.69 ), ! s_m( X, U, T ), ! s_col( Y, Z, W ), ! sameside( X, W, V0 ),
% 192.28/192.69 opposite( V0, Y, Z, T ) }.
% 192.28/192.69 (92766) {G0,W14,D3,L2,V4,M2} { ! sameside( X, Y, Z ), sameside( s( T, X )
% 192.28/192.69 , s( T, Y ), s( T, Z ) ) }.
% 192.28/192.69 (92767) {G0,W48,D3,L11,V8,M11} { ! opposite( X, Y, Z, T ), Y = Z, ! s_col
% 192.28/192.69 ( Y, Z, U ), ! s_col( Y, Z, W ), ! perp( Y, Z, X, W ), ! perp( Y, Z, T, U
% 192.28/192.69 ), ! s_m( W, V0, U ), ! sameside( V1, W, X ), ! le( U, T, W, X ), W = U
% 192.28/192.69 , sameside( s( V0, V1 ), U, T ) }.
% 192.28/192.69 (92768) {G0,W48,D3,L11,V8,M11} { ! opposite( X, Y, Z, T ), Y = Z, ! s_col
% 192.28/192.69 ( Y, Z, U ), ! s_col( Y, Z, W ), ! perp( Y, Z, X, W ), ! perp( Y, Z, T, U
% 192.28/192.69 ), ! s_m( W, V0, U ), sameside( V1, W, X ), ! le( U, T, W, X ), W = U, !
% 192.28/192.69 sameside( s( V0, V1 ), U, T ) }.
% 192.28/192.69 (92769) {G0,W43,D3,L10,V8,M10} { ! opposite( X, Y, Z, T ), Y = Z, ! s_col
% 192.28/192.69 ( Y, Z, U ), ! s_col( Y, Z, W ), ! perp( Y, Z, X, W ), ! perp( Y, Z, T, U
% 192.28/192.69 ), ! s_m( W, V0, U ), ! sameside( V1, W, X ), ! W = U, sameside( s( V0,
% 192.28/192.69 V1 ), U, T ) }.
% 192.28/192.69 (92770) {G0,W40,D3,L9,V8,M9} { ! opposite( X, Y, Z, T ), Y = Z, ! s_col( Y
% 192.28/192.69 , Z, U ), ! s_col( Y, Z, W ), ! perp( Y, Z, X, W ), ! perp( Y, Z, T, U )
% 192.28/192.69 , ! s_m( W, V0, U ), ! sameside( V1, W, X ), sameside( s( V0, V1 ), U, T
% 192.28/192.69 ) }.
% 192.28/192.69 (92771) {G0,W43,D2,L10,V9,M10} { ! opposite( X, Y, Z, T ), Y = Z, ! s_col
% 192.28/192.69 ( Y, Z, U ), ! s_col( Y, Z, W ), ! perp( Y, Z, X, W ), ! perp( Y, Z, T, U
% 192.28/192.69 ), ! s_m( W, V0, U ), ! sameside( V1, W, X ), ! sameside( V2, U, T ),
% 192.28/192.69 opposite( V1, Y, Z, V2 ) }.
% 192.28/192.69 (92772) {G0,W18,D2,L4,V6,M4} { ! opposite( X, Y, Z, T ), ! s_col( Y, Z, U
% 192.28/192.69 ), ! sameside( X, U, W ), opposite( W, Y, Z, T ) }.
% 192.28/192.69 (92773) {G0,W17,D3,L3,V5,M3} { ! s_t( X, Y, Z ), ! s_t( T, U, Y ), s_t( X
% 192.28/192.69 , op( U, T, Z, Y, X ), T ) }.
% 192.28/192.69 (92774) {G0,W17,D3,L3,V5,M3} { ! s_t( X, Y, Z ), ! s_t( T, U, Y ), s_t( Z
% 192.28/192.69 , U, op( U, T, Z, Y, X ) ) }.
% 192.28/192.69 (92775) {G0,W15,D2,L3,V5,M3} { ! opposite( X, Y, Z, T ), opposite( U, Y, Z
% 192.28/192.69 , T ), ! samesideline( X, U, Y, Z ) }.
% 192.28/192.69 (92776) {G0,W10,D2,L2,V4,M2} { ! opposite( X, Y, Z, T ), ! samesideline( X
% 192.28/192.69 , T, Y, Z ) }.
% 192.28/192.69 (92777) {G0,W18,D2,L4,V5,M4} { X = Y, ! samesideline( Z, T, X, Y ), !
% 192.28/192.69 samesideline( T, U, X, Y ), samesideline( Z, U, X, Y ) }.
% 192.28/192.69 (92778) {G0,W10,D2,L2,V4,M2} { ! samesideline( X, Y, Z, T ), samesideline
% 192.28/192.69 ( X, Y, T, Z ) }.
% 192.28/192.69 (92779) {G0,W19,D2,L5,V5,M5} { X = Y, ! s_m( Z, T, U ), ! s_col( X, Y, Z )
% 192.28/192.69 , ! s_col( X, Y, U ), s_col( X, Y, T ) }.
% 192.28/192.69 (92780) {G0,W17,D2,L4,V5,M4} { X = Y, ! s_t( Y, X, Z ), ! samesideline( T
% 192.28/192.69 , U, Z, Y ), samesideline( T, U, X, Y ) }.
% 192.28/192.69 (92781) {G0,W13,D2,L3,V4,M3} { X = Y, ! samesideline( Z, T, X, Y ),
% 192.28/192.69 samesideline( T, Z, X, Y ) }.
% 192.28/192.69 (92782) {G0,W15,D2,L3,V5,M3} { ! opposite( X, Y, Z, T ), ! samesideline( T
% 192.28/192.69 , U, Y, Z ), opposite( X, Y, Z, U ) }.
% 192.28/192.69 (92783) {G0,W22,D2,L5,V5,M5} { X = Y, ! perpAt( X, Y, Z, T, Z ), ! perpAt
% 192.28/192.69 ( X, Y, Z, U, Z ), T = Z, s_col( Z, T, U ) }.
% 192.28/192.69 (92784) {G0,W27,D3,L6,V4,M6} { X = Y, s_col( X, Y, Z ), s_col( X, Y, T ),
% 192.28/192.69 samesideline( Z, T, X, Y ), opposite( Z, X, Y, T ), ! X = foot( X, Y, Z )
% 192.28/192.69 }.
% 192.28/192.69 (92785) {G0,W27,D3,L6,V4,M6} { X = Y, s_col( X, Y, Z ), s_col( X, Y, T ),
% 192.28/192.69 samesideline( Z, T, X, Y ), opposite( Z, X, Y, T ), X = foot( X, Y, Z )
% 192.28/192.69 }.
% 192.28/192.69 (92786) {G0,W21,D2,L5,V4,M5} { X = Y, s_col( X, Y, Z ), s_col( X, Y, T ),
% 192.28/192.69 samesideline( Z, T, X, Y ), opposite( Z, X, Y, T ) }.
% 192.28/192.69 (92787) {G0,W14,D2,L3,V5,M3} { ! samesideline( X, Y, Z, T ), ! sameside( X
% 192.28/192.69 , T, U ), samesideline( U, Y, Z, T ) }.
% 192.28/192.69 (92788) {G0,W24,D2,L6,V5,M6} { X = Y, ! s_col( X, Y, Z ), ! s_col( T, U, Z
% 192.28/192.69 ), ! sameside( T, Z, U ), s_col( X, Y, T ), samesideline( T, U, X, Y )
% 192.28/192.69 }.
% 192.28/192.69 (92789) {G0,W12,D4,L2,V3,M2} { X = Y, s_col( X, Y, midpoint( Z, reflect( X
% 192.28/192.69 , Y, Z ) ) ) }.
% 192.28/192.69 (92790) {G0,W17,D3,L3,V3,M3} { X = Y, Z = reflect( X, Y, Z ), perp( X, Y,
% 192.28/192.69 Z, reflect( X, Y, Z ) ) }.
% 192.28/192.69 (92791) {G0,W20,D3,L4,V4,M4} { X = Y, ! s_col( X, Y, midpoint( Z, T ) ), !
% 192.28/192.69 perp( X, Y, Z, T ), T = reflect( X, Y, Z ) }.
% 192.28/192.69 (92792) {G0,W18,D3,L4,V4,M4} { X = Y, ! s_col( X, Y, midpoint( Z, T ) ), !
% 192.28/192.69 Z = T, T = reflect( X, Y, Z ) }.
% 192.28/192.69 (92793) {G0,W15,D3,L3,V4,M3} { X = Y, ! reflect( X, Y, Z ) = T, reflect( X
% 192.28/192.69 , Y, T ) = Z }.
% 192.28/192.69 (92794) {G0,W12,D4,L2,V3,M2} { X = Y, reflect( X, Y, reflect( X, Y, Z ) )
% 192.28/192.69 = Z }.
% 192.28/192.69 (92795) {G0,W15,D3,L3,V4,M3} { X = Y, ! reflect( X, Y, Z ) = T, Z =
% 192.28/192.69 reflect( X, Y, T ) }.
% 192.28/192.69 (92796) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol2 }.
% 192.28/192.69 (92797) {G0,W9,D3,L1,V0,M1} { reflect( skol1, skol2, skol3 ) = reflect(
% 192.28/192.69 skol1, skol2, skol4 ) }.
% 192.28/192.69 (92798) {G0,W3,D2,L1,V0,M1} { ! skol3 = skol4 }.
% 192.28/192.69 (92799) {G0,W15,D4,L1,V4,M1} { insert( X, Y, Z, T ) = ext( ext( T, Z,
% 192.28/192.69 alpha, gamma ), Z, X, Y ) }.
% 192.28/192.69 (92800) {G0,W13,D2,L2,V8,M2} { ! s_afs( X, Y, Z, T, U, W, V0, V1 ), s_t( X
% 192.28/192.69 , Y, Z ) }.
% 192.28/192.69 (92801) {G0,W13,D2,L2,V8,M2} { ! s_afs( X, Y, Z, T, U, W, V0, V1 ), s_t( U
% 192.28/192.69 , W, V0 ) }.
% 192.28/192.69 (92802) {G0,W14,D2,L2,V8,M2} { ! s_afs( X, Y, Z, T, U, W, V0, V1 ), s_e( X
% 192.28/192.69 , Y, U, W ) }.
% 192.28/192.69 (92803) {G0,W14,D2,L2,V8,M2} { ! s_afs( X, Y, Z, T, U, W, V0, V1 ), s_e( Y
% 192.28/192.69 , Z, W, V0 ) }.
% 192.28/192.69 (92804) {G0,W14,D2,L2,V8,M2} { ! s_afs( X, Y, Z, T, U, W, V0, V1 ), s_e( X
% 192.28/192.69 , T, U, V1 ) }.
% 192.28/192.69 (92805) {G0,W14,D2,L2,V8,M2} { ! s_afs( X, Y, Z, T, U, W, V0, V1 ), s_e( Y
% 192.28/192.69 , T, W, V1 ) }.
% 192.28/192.69 (92806) {G0,W37,D2,L7,V8,M7} { ! s_t( X, Y, Z ), ! s_t( U, W, V0 ), ! s_e
% 192.28/192.69 ( X, Y, U, W ), ! s_e( Y, Z, W, V0 ), ! s_e( X, T, U, V1 ), ! s_e( Y, T,
% 192.28/192.69 W, V1 ), s_afs( X, Y, Z, T, U, W, V0, V1 ) }.
% 192.28/192.69 (92807) {G0,W13,D2,L2,V8,M2} { ! s_ifs( X, Y, Z, T, U, W, V0, V1 ), s_t( X
% 192.28/192.69 , Y, Z ) }.
% 192.28/192.69 (92808) {G0,W13,D2,L2,V8,M2} { ! s_ifs( X, Y, Z, T, U, W, V0, V1 ), s_t( U
% 192.28/192.69 , W, V0 ) }.
% 192.28/192.69 (92809) {G0,W14,D2,L2,V8,M2} { ! s_ifs( X, Y, Z, T, U, W, V0, V1 ), s_e( X
% 192.28/192.69 , Z, U, V0 ) }.
% 192.28/192.69 (92810) {G0,W14,D2,L2,V8,M2} { ! s_ifs( X, Y, Z, T, U, W, V0, V1 ), s_e( Y
% 192.28/192.69 , Z, W, V0 ) }.
% 192.28/192.69 (92811) {G0,W14,D2,L2,V8,M2} { ! s_ifs( X, Y, Z, T, U, W, V0, V1 ), s_e( X
% 192.28/192.69 , T, U, V1 ) }.
% 192.28/192.69 (92812) {G0,W14,D2,L2,V8,M2} { ! s_ifs( X, Y, Z, T, U, W, V0, V1 ), s_e( Z
% 192.28/192.69 , T, V0, V1 ) }.
% 192.28/192.69 (92813) {G0,W37,D2,L7,V8,M7} { ! s_t( X, Y, Z ), ! s_t( U, W, V0 ), ! s_e
% 192.28/192.69 ( X, Z, U, V0 ), ! s_e( Y, Z, W, V0 ), ! s_e( X, T, U, V1 ), ! s_e( Z, T
% 192.28/192.69 , V0, V1 ), s_ifs( X, Y, Z, T, U, W, V0, V1 ) }.
% 192.28/192.69 (92814) {G0,W12,D2,L2,V6,M2} { ! s_e3( X, Y, Z, T, U, W ), s_e( X, Y, T, U
% 192.28/192.69 ) }.
% 192.28/192.69 (92815) {G0,W12,D2,L2,V6,M2} { ! s_e3( X, Y, Z, T, U, W ), s_e( X, Z, T, W
% 192.28/192.69 ) }.
% 192.28/192.69 (92816) {G0,W12,D2,L2,V6,M2} { ! s_e3( X, Y, Z, T, U, W ), s_e( Y, Z, U, W
% 192.28/192.69 ) }.
% 192.28/192.69 (92817) {G0,W22,D2,L4,V6,M4} { ! s_e( X, Y, T, U ), ! s_e( X, Z, T, W ), !
% 192.28/192.69 s_e( Y, Z, U, W ), s_e3( X, Y, Z, T, U, W ) }.
% 192.28/192.69 (92818) {G0,W16,D2,L4,V3,M4} { ! s_col( X, Y, Z ), s_t( X, Y, Z ), s_t( Y
% 192.28/192.69 , Z, X ), s_t( Z, X, Y ) }.
% 192.28/192.69 (92819) {G0,W8,D2,L2,V3,M2} { s_col( X, Y, Z ), ! s_t( X, Y, Z ) }.
% 192.28/192.69 (92820) {G0,W8,D2,L2,V3,M2} { s_col( X, Y, Z ), ! s_t( Y, Z, X ) }.
% 192.28/192.69 (92821) {G0,W8,D2,L2,V3,M2} { s_col( X, Y, Z ), ! s_t( Z, X, Y ) }.
% 192.28/192.69 (92822) {G0,W13,D2,L2,V8,M2} { ! s_fs( X, Y, Z, T, U, W, V0, V1 ), s_col(
% 192.28/192.69 X, Y, Z ) }.
% 192.28/192.69 (92823) {G0,W16,D2,L2,V8,M2} { ! s_fs( X, Y, Z, T, U, W, V0, V1 ), s_e3( X
% 192.28/192.69 , Y, Z, U, W, V0 ) }.
% 192.28/192.69 (92824) {G0,W14,D2,L2,V8,M2} { ! s_fs( X, Y, Z, T, U, W, V0, V1 ), s_e( X
% 192.28/192.69 , T, U, V1 ) }.
% 192.28/192.69 (92825) {G0,W14,D2,L2,V8,M2} { ! s_fs( X, Y, Z, T, U, W, V0, V1 ), s_e( Y
% 192.28/192.69 , T, W, V1 ) }.
% 192.28/192.69 (92826) {G0,W30,D2,L5,V8,M5} { ! s_col( X, Y, Z ), ! s_e3( X, Y, Z, U, W,
% 192.28/192.69 V0 ), ! s_e( X, T, U, V1 ), ! s_e( Y, T, W, V1 ), s_fs( X, Y, Z, T, U, W
% 192.28/192.69 , V0, V1 ) }.
% 192.28/192.69 (92827) {G0,W13,D3,L2,V4,M2} { ! le( X, Y, Z, T ), s_t( Z, insert( X, Y, Z
% 192.28/192.69 , T ), T ) }.
% 192.28/192.69 (92828) {G0,W14,D3,L2,V4,M2} { ! le( X, Y, Z, T ), s_e( X, Y, Z, insert( X
% 192.28/192.69 , Y, Z, T ) ) }.
% 192.28/192.69 (92829) {G0,W14,D2,L3,V5,M3} { ! s_t( Z, U, T ), ! s_e( X, Y, Z, U ), le(
% 192.28/192.69 X, Y, Z, T ) }.
% 192.28/192.69 (92830) {G0,W7,D2,L2,V3,M2} { ! sameside( X, Y, Z ), ! X = Y }.
% 192.28/192.69 (92831) {G0,W7,D2,L2,V3,M2} { ! sameside( X, Y, Z ), ! Z = Y }.
% 192.28/192.69 (92832) {G0,W12,D2,L3,V3,M3} { ! sameside( X, Y, Z ), s_t( Y, X, Z ), s_t
% 192.28/192.69 ( Y, Z, X ) }.
% 192.28/192.69 (92833) {G0,W14,D2,L4,V3,M4} { ! s_t( Y, X, Z ), X = Y, xb = Y, sameside(
% 192.28/192.69 X, Y, Z ) }.
% 192.28/192.69 (92834) {G0,W14,D2,L4,V3,M4} { ! s_t( Y, Z, X ), X = Y, Z = Y, sameside( X
% 192.28/192.69 , Y, Z ) }.
% 192.28/192.69 (92835) {G0,W8,D2,L2,V3,M2} { ! s_m( X, Y, Z ), s_t( X, Y, Z ) }.
% 192.28/192.69 (92836) {G0,W9,D2,L2,V3,M2} { ! s_m( X, Y, Z ), s_e( Y, X, Y, Z ) }.
% 192.28/192.69 (92837) {G0,W13,D2,L3,V3,M3} { ! s_t( X, Y, Z ), ! s_e( Y, X, Y, Z ), s_m
% 192.28/192.69 ( X, Y, Z ) }.
% 192.28/192.69 (92838) {G0,W12,D2,L2,V7,M2} { ! s_kf( X, Y, Z, T, U, W, V0 ), s_t( X, T,
% 192.28/192.69 V0 ) }.
% 192.28/192.69 (92839) {G0,W12,D2,L2,V7,M2} { ! s_kf( X, Y, Z, T, U, W, V0 ), s_t( Z, T,
% 192.28/192.69 U ) }.
% 192.28/192.69 (92840) {G0,W13,D2,L2,V7,M2} { ! s_kf( X, Y, Z, T, U, W, V0 ), s_e( T, X,
% 192.28/192.69 T, Z ) }.
% 192.28/192.69 (92841) {G0,W13,D2,L2,V7,M2} { ! s_kf( X, Y, Z, T, U, W, V0 ), s_e( T, V0
% 192.28/192.69 , T, U ) }.
% 192.28/192.69 (92842) {G0,W12,D2,L2,V7,M2} { ! s_kf( X, Y, Z, T, U, W, V0 ), s_m( X, Y,
% 192.28/192.69 Z ) }.
% 192.28/192.69 (92843) {G0,W12,D2,L2,V7,M2} { ! s_kf( X, Y, Z, T, U, W, V0 ), s_m( V0, W
% 192.28/192.69 , U ) }.
% 192.28/192.69 (92844) {G0,W34,D2,L7,V7,M7} { ! s_t( X, T, V0 ), ! s_t( Z, T, U ), ! s_e
% 192.28/192.69 ( T, X, T, Z ), ! s_e( T, V0, T, U ), ! s_m( X, Y, Z ), ! s_m( V0, W, U )
% 192.28/192.69 , s_kf( X, Y, Z, T, U, W, V0 ) }.
% 192.28/192.69 (92845) {G0,W11,D3,L2,V3,M2} { ! s_r( X, Y, Z ), s_e( X, Z, X, s( Y, Z ) )
% 192.28/192.69 }.
% 192.28/192.69 (92846) {G0,W11,D3,L2,V3,M2} { s_r( X, Y, Z ), ! s_e( X, Z, X, s( Y, Z ) )
% 192.28/192.69 }.
% 192.28/192.69 (92847) {G0,W10,D2,L2,V5,M2} { ! perpAt( X, Y, Z, T, U ), s_col( X, Y, Z )
% 192.28/192.69 }.
% 192.28/192.69 (92848) {G0,W10,D2,L2,V5,M2} { ! perpAt( X, Y, Z, T, U ), s_col( T, U, Z )
% 192.28/192.69 }.
% 192.28/192.69 (92849) {G0,W9,D2,L2,V5,M2} { ! perpAt( X, Y, Z, T, U ), ! X = Y }.
% 192.28/192.69 (92850) {G0,W9,D2,L2,V5,M2} { ! perpAt( X, Y, Z, T, U ), ! T = U }.
% 192.28/192.69 (92851) {G0,W18,D2,L4,V7,M4} { ! perpAt( X, Y, Z, T, U ), ! s_col( X, Y, W
% 192.28/192.69 ), ! s_col( T, U, V0 ), s_r( W, Z, V0 ) }.
% 192.28/192.69 (92852) {G0,W29,D3,L6,V5,M6} { perpAt( X, Y, Z, T, U ), X = Y, T = U, !
% 192.28/192.69 s_col( X, Y, Z ), ! s_col( T, U, Z ), s_col( X, Y, f811( X, Y, T, U, Z )
% 192.28/192.69 ) }.
% 192.28/192.69 (92853) {G0,W29,D3,L6,V5,M6} { perpAt( X, Y, Z, T, U ), X = Y, T = U, !
% 193.78/194.20 s_col( X, Y, Z ), ! s_col( T, U, Z ), s_col( T, U, g811( X, Y, T, U, Z )
% 193.78/194.20 ) }.
% 193.78/194.20 (92854) {G0,W34,D3,L6,V5,M6} { perpAt( X, Y, Z, T, U ), X = Y, T = U, !
% 193.78/194.20 s_col( X, Y, Z ), ! s_col( T, U, Z ), ! s_r( f811( X, Y, T, U, Z ), Z,
% 193.78/194.20 g811( X, Y, T, U, Z ) ) }.
% 193.78/194.20 (92855) {G0,W15,D3,L2,V4,M2} { ! perp( X, Y, Z, T ), perpAt( X, Y, il( X,
% 193.78/194.20 Y, Z, T ), Z, T ) }.
% 193.78/194.20 (92856) {G0,W11,D2,L2,V5,M2} { perp( X, Y, Z, T ), ! perpAt( X, Y, U, Z, T
% 193.78/194.20 ) }.
% 193.78/194.20 (92857) {G0,W24,D2,L6,V5,M6} { X = Y, s_col( X, Y, Z ), s_col( X, Y, T ),
% 193.78/194.20 ! s_t( Z, U, T ), ! s_col( X, Y, U ), opposite( Z, X, Y, T ) }.
% 193.78/194.20 (92858) {G0,W9,D2,L2,V4,M2} { ! opposite( Z, X, Y, T ), ! s_col( X, Y, Z )
% 193.78/194.20 }.
% 193.78/194.20 (92859) {G0,W9,D2,L2,V4,M2} { ! opposite( Z, X, Y, T ), ! s_col( X, Y, T )
% 193.78/194.20 }.
% 193.78/194.20 (92860) {G0,W13,D3,L2,V4,M2} { ! opposite( Z, X, Y, T ), s_t( Z, il( Z, T
% 193.78/194.20 , X, Y ), T ) }.
% 193.78/194.20 (92861) {G0,W13,D3,L2,V4,M2} { ! opposite( Z, X, Y, T ), s_col( X, Y, il(
% 193.78/194.20 Z, T, X, Y ) ) }.
% 193.78/194.20 (92862) {G0,W13,D3,L2,V4,M2} { ! samesideline( X, Y, Z, T ), s_col( Z, T,
% 193.78/194.20 ss1( X, Y, Z, T ) ) }.
% 193.78/194.20 (92863) {G0,W13,D3,L2,V4,M2} { ! samesideline( X, Y, Z, T ), s_col( Z, T,
% 193.78/194.20 ss2( X, Y, Z, T ) ) }.
% 193.78/194.20 (92864) {G0,W17,D3,L2,V4,M2} { ! samesideline( X, Y, Z, T ), s_t( X, ss1(
% 193.78/194.20 X, Y, Z, T ), ss3( X, Y, Z, T ) ) }.
% 193.78/194.20 (92865) {G0,W17,D3,L2,V4,M2} { ! samesideline( X, Y, Z, T ), s_t( Y, ss2(
% 193.78/194.20 X, Y, Z, T ), ss3( X, Y, Z, T ) ) }.
% 193.78/194.20 (92866) {G0,W12,D3,L2,V4,M2} { ! samesideline( X, Y, Z, T ), ! X = ss1( X
% 193.78/194.20 , Y, Z, T ) }.
% 193.78/194.20 (92867) {G0,W12,D3,L2,V4,M2} { ! samesideline( X, Y, Z, T ), ! Y = ss2( X
% 193.78/194.20 , Y, Z, T ) }.
% 193.78/194.20 (92868) {G0,W16,D3,L2,V4,M2} { ! samesideline( X, Y, Z, T ), ! ss3( X, Y,
% 193.78/194.20 Z, T ) = ss1( X, Y, Z, T ) }.
% 193.78/194.20 (92869) {G0,W16,D3,L2,V4,M2} { ! samesideline( X, Y, Z, T ), ! ss3( X, Y,
% 193.78/194.20 Z, T ) = ss2( X, Y, Z, T ) }.
% 193.78/194.20 (92870) {G0,W8,D2,L2,V4,M2} { ! samesideline( X, Y, Z, T ), ! Z = T }.
% 193.78/194.20 (92871) {G0,W9,D2,L2,V4,M2} { ! samesideline( X, Y, Z, T ), ! s_col( Z, T
% 193.78/194.20 , X ) }.
% 193.78/194.20 (92872) {G0,W9,D2,L2,V4,M2} { ! samesideline( X, Y, Z, T ), ! s_col( Z, T
% 193.78/194.20 , Y ) }.
% 193.78/194.20 (92873) {G0,W44,D2,L12,V7,M12} { ! s_t( X, U, W ), ! s_t( Y, V0, W ), !
% 193.78/194.20 s_col( Z, T, U ), ! s_col( Z, T, V0 ), Z = T, W = U, W = V0, X = U, Y =
% 193.78/194.20 V0, s_col( Z, T, X ), s_col( Z, T, Y ), samesideline( X, Y, Z, T ) }.
% 193.78/194.20
% 193.78/194.20
% 193.78/194.20 Total Proof:
% 193.78/194.20
% 193.78/194.20 *** allocated 15000 integers for justifications
% 193.78/194.20 subsumption: (210) {G0,W12,D4,L2,V3,M2} I { X = Y, reflect( X, Y, reflect(
% 193.78/194.20 X, Y, Z ) ) ==> Z }.
% 193.78/194.20 parent0: (92794) {G0,W12,D4,L2,V3,M2} { X = Y, reflect( X, Y, reflect( X,
% 193.78/194.20 Y, Z ) ) = Z }.
% 193.78/194.20 substitution0:
% 193.78/194.20 X := X
% 193.78/194.20 Y := Y
% 193.78/194.20 Z := Z
% 193.78/194.20 end
% 193.78/194.20 permutation0:
% 193.78/194.20 0 ==> 0
% 193.78/194.20 1 ==> 1
% 193.78/194.20 end
% 193.78/194.20
% 193.78/194.20 eqswap: (95503) {G0,W3,D2,L1,V0,M1} { ! skol2 = skol1 }.
% 193.78/194.20 parent0[0]: (92796) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol2 }.
% 193.78/194.20 substitution0:
% 193.78/194.20 end
% 193.78/194.20
% 193.78/194.20 subsumption: (211) {G0,W3,D2,L1,V0,M1} I { ! skol2 ==> skol1 }.
% 193.78/194.20 parent0: (95503) {G0,W3,D2,L1,V0,M1} { ! skol2 = skol1 }.
% 193.78/194.20 substitution0:
% 193.78/194.20 end
% 193.78/194.20 permutation0:
% 193.78/194.20 0 ==> 0
% 193.78/194.20 end
% 193.78/194.20
% 193.78/194.20 eqswap: (96823) {G0,W9,D3,L1,V0,M1} { reflect( skol1, skol2, skol4 ) =
% 193.78/194.20 reflect( skol1, skol2, skol3 ) }.
% 193.78/194.20 parent0[0]: (92797) {G0,W9,D3,L1,V0,M1} { reflect( skol1, skol2, skol3 ) =
% 193.78/194.20 reflect( skol1, skol2, skol4 ) }.
% 193.78/194.20 substitution0:
% 193.78/194.20 end
% 193.78/194.20
% 193.78/194.20 subsumption: (212) {G0,W9,D3,L1,V0,M1} I { reflect( skol1, skol2, skol4 )
% 193.78/194.20 ==> reflect( skol1, skol2, skol3 ) }.
% 193.78/194.20 parent0: (96823) {G0,W9,D3,L1,V0,M1} { reflect( skol1, skol2, skol4 ) =
% 193.78/194.20 reflect( skol1, skol2, skol3 ) }.
% 193.78/194.20 substitution0:
% 193.78/194.20 end
% 193.78/194.20 permutation0:
% 193.78/194.20 0 ==> 0
% 193.78/194.20 end
% 193.78/194.20
% 193.78/194.20 eqswap: (98144) {G0,W3,D2,L1,V0,M1} { ! skol4 = skol3 }.
% 193.78/194.20 parent0[0]: (92798) {G0,W3,D2,L1,V0,M1} { ! skol3 = skol4 }.
% 193.78/194.20 substitution0:
% 193.78/194.20 end
% 193.78/194.20
% 193.78/194.20 subsumption: (213) {G0,W3,D2,L1,V0,M1} I { ! skol4 ==> skol3 }.
% 193.78/194.20 parent0: (98144) {G0,W3,D2,L1,V0,M1} { ! skol4 = skol3 }.
% 193.78/194.20 substitution0:
% 193.78/194.20 end
% 193.78/194.20 permutation0:
% 193.78/194.20 0 ==> 0
% 193.78/194.20 end
% 193.78/194.20
% 193.78/194.20 *** allocated 22500 integers for justifications
% 193.78/194.20 *** allocated 33750 integers for justifications
% 193.78/194.20 *** allocated 50625 integers for justifications
% 193.78/194.20 *** allocated 75937 integers for justifications
% 193.78/194.20 *** allocated 113905 integers for justifications
% 193.78/194.20 *** allocated 170857 integers for justifications
% 193.78/194.20 *** allocated 256285 iCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------