TSTP Solution File: GEO498+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO498+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n014.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 02:54:23 EDT 2022
% Result : Theorem 1.64s 2.02s
% Output : Refutation 1.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO498+1 : TPTP v8.1.0. Released v7.0.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n014.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 13:13:49 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.73/1.15 *** allocated 10000 integers for termspace/termends
% 0.73/1.15 *** allocated 10000 integers for clauses
% 0.73/1.15 *** allocated 10000 integers for justifications
% 0.73/1.15 Bliksem 1.12
% 0.73/1.15
% 0.73/1.15
% 0.73/1.15 Automatic Strategy Selection
% 0.73/1.15
% 0.73/1.15 *** allocated 15000 integers for termspace/termends
% 0.73/1.15
% 0.73/1.15 Clauses:
% 0.73/1.15
% 0.73/1.15 { s_e( X, Y, Y, X ) }.
% 0.73/1.15 { ! s_e( X, Y, Z, T ), ! s_e( X, Y, U, W ), s_e( Z, T, U, W ) }.
% 0.73/1.15 { ! s_e( X, Y, Z, Z ), X = Y }.
% 0.73/1.15 { s_t( X, Y, ext( X, Y, Z, T ) ) }.
% 0.73/1.15 { s_e( Y, ext( X, Y, Z, T ), Z, T ) }.
% 0.73/1.15 { ! s_e( X, Y, Z, T ), ! s_e( Y, U, T, W ), ! s_e( X, V0, Z, V1 ), ! s_e( Y
% 0.73/1.15 , V0, T, V1 ), ! s_t( X, Y, U ), ! s_t( Z, T, W ), X = Y, s_e( U, V0, W,
% 0.73/1.15 V1 ) }.
% 0.73/1.15 { ! s_t( X, Y, X ), X = Y }.
% 0.73/1.15 { ! s_t( X, Y, Z ), ! s_t( T, U, Z ), s_t( Y, ip( X, Y, Z, T, U ), T ) }.
% 0.73/1.15 { ! s_t( X, Y, Z ), ! s_t( T, U, Z ), s_t( U, ip( X, Y, Z, T, U ), X ) }.
% 0.73/1.15 { ! s_t( alpha, beta, gamma ) }.
% 0.73/1.15 { ! s_t( beta, gamma, alpha ) }.
% 0.73/1.15 { ! s_t( gamma, alpha, beta ) }.
% 0.73/1.15 { s_e( X, Y, X, Y ) }.
% 0.73/1.15 { ! s_e( X, Y, Z, T ), s_e( Z, T, X, Y ) }.
% 0.73/1.15 { ! s_e( X, Y, Z, T ), ! s_e( Z, T, U, W ), s_e( X, Y, U, W ) }.
% 0.73/1.15 { ! s_e( X, Y, Z, T ), s_e( Y, X, Z, T ) }.
% 0.73/1.15 { ! s_e( X, Y, Z, T ), s_e( X, Y, T, Z ) }.
% 0.73/1.15 { s_e( X, X, Y, Y ) }.
% 0.73/1.15 { ! s_t( X, Y, Z ), ! s_t( T, U, W ), ! s_e( X, Y, T, U ), ! s_e( Y, Z, U,
% 0.73/1.15 W ), s_e( X, Z, T, W ) }.
% 0.73/1.15 { X = Y, ! s_t( X, Y, Z ), ! s_e( Y, Z, T, U ), Z = ext( X, Y, T, U ) }.
% 0.73/1.15 { ! s_e( X, Y, Z, Z ), X = Y }.
% 0.73/1.15 { ! s_e( X, Y, Z, T ), s_e( Y, X, T, Z ) }.
% 0.73/1.15 { ! s_t( X, Y, Z ), ! s_t( T, U, W ), ! s_e( X, Y, U, W ), ! s_e( Y, Z, T,
% 0.73/1.15 U ), s_e( X, Z, T, W ) }.
% 0.73/1.15 { s_t( X, Y, Y ) }.
% 0.73/1.15 { ! s_t( X, Y, Z ), s_t( Z, Y, X ) }.
% 0.73/1.15 { s_t( X, X, Y ) }.
% 0.73/1.15 { ! s_t( X, Y, Z ), ! s_t( Y, X, Z ), X = Y }.
% 0.73/1.15 { ! s_t( X, Y, Z ), ! s_t( Y, T, Z ), s_t( X, Y, T ) }.
% 0.73/1.15 { ! s_t( X, Y, Z ), ! s_t( X, Z, T ), s_t( Y, Z, T ) }.
% 0.73/1.15 { ! s_t( X, Y, Z ), ! s_t( Y, Z, T ), Y = Z, s_t( X, Z, T ) }.
% 0.73/1.15 { ! s_t( X, Y, Z ), ! s_t( Y, T, Z ), s_t( X, T, Z ) }.
% 0.73/1.15 { ! s_t( X, Y, Z ), ! s_t( X, Z, T ), s_t( X, Y, T ) }.
% 0.73/1.15 { ! s_t( X, Y, Z ), ! s_t( Y, Z, T ), Y = Z, s_t( X, Y, T ) }.
% 0.73/1.15 { ! alpha = beta }.
% 0.73/1.15 { ! beta = gamma }.
% 0.73/1.15 { ! alpha = gamma }.
% 0.73/1.15 { s_t( X, Y, ext( X, Y, alpha, gamma ) ) }.
% 0.73/1.15 { ! X = ext( Y, X, alpha, gamma ) }.
% 0.73/1.15 { ! s_t( X, Y, Z ), ! s_t( T, U, Z ), ! s_t( X, W, T ), s_t( W, crossbar( X
% 0.73/1.15 , Y, Z, T, U, W ), Z ) }.
% 0.73/1.15 { ! s_t( X, Y, Z ), ! s_t( T, U, Z ), ! s_t( X, W, T ), s_t( Y, crossbar( X
% 0.73/1.15 , Y, Z, T, U, W ), U ) }.
% 0.73/1.15 { ! s_ifs( U, X, W, Y, V0, Z, V1, T ), s_e( X, Y, Z, T ) }.
% 0.73/1.15 { ! s_t( X, Y, Z ), ! s_t( T, U, W ), ! s_e( X, Z, T, W ), ! s_e( Y, Z, U,
% 0.73/1.15 W ), s_e( X, Y, T, U ) }.
% 0.73/1.15 { ! s_t( X, Y, Z ), ! s_e( X, Z, T, U ), s_t( T, insert( X, Y, T, U ), U )
% 0.73/1.15 }.
% 0.73/1.15 { ! s_t( X, Y, Z ), ! s_e( X, Z, T, U ), s_e3( X, Y, Z, T, insert( X, Y, T
% 0.73/1.15 , U ), U ) }.
% 0.73/1.15 { ! s_t( X, Y, Z ), ! s_e3( X, Y, Z, T, U, W ), s_t( T, U, W ) }.
% 0.73/1.15 { ! s_col( X, Y, Z ), s_col( Y, Z, X ) }.
% 0.73/1.15 { ! s_col( X, Y, Z ), s_col( Z, X, Y ) }.
% 0.73/1.15 { ! s_col( X, Y, Z ), s_col( Z, Y, X ) }.
% 0.73/1.15 { ! s_col( X, Y, Z ), s_col( Y, X, Z ) }.
% 0.73/1.15 { ! s_col( X, Y, Z ), s_col( X, Z, Y ) }.
% 0.73/1.15 { s_col( X, X, Y ) }.
% 0.73/1.15 { s_col( X, Y, X ) }.
% 0.73/1.15 { ! s_col( X, Y, Z ), ! s_e3( X, Y, Z, T, U, W ), s_col( T, U, W ) }.
% 0.73/1.15 { ! s_col( X, Y, Z ), ! s_e( X, Y, T, U ), s_e3( X, Y, Z, T, U, insert5( X
% 0.73/1.15 , Y, Z, T, U ) ) }.
% 0.73/1.15 { ! s_fs( X, Y, Z, T, V0, V1, U, W ), X = Y, s_e( Z, T, U, W ) }.
% 0.73/1.15 { X = Y, ! s_col( X, Y, Z ), ! s_e( X, T, X, U ), ! s_e( Y, T, Y, U ), s_e
% 0.73/1.15 ( Z, T, Z, U ) }.
% 0.73/1.15 { X = Y, ! s_col( X, Y, Z ), ! s_e( X, Z, X, T ), ! s_e( Y, Z, Y, T ), Z =
% 0.73/1.15 T }.
% 0.73/1.15 { ! s_t( X, Y, Z ), ! s_e( X, Y, X, T ), ! s_e( Z, Y, Z, T ), Y = T }.
% 0.73/1.15 { X = Y, ! s_t( X, Y, Z ), ! s_t( X, Y, T ), s_t( X, Z, T ), s_t( X, T, Z )
% 0.73/1.15 }.
% 0.73/1.15 { X = Y, ! s_t( X, Y, Z ), ! s_t( X, Y, T ), s_t( Y, Z, T ), s_t( Y, T, Z )
% 0.73/1.15 }.
% 0.73/1.15 { ! s_t( X, Y, Z ), ! s_t( X, T, Z ), s_t( X, Y, T ), s_t( X, T, Y ) }.
% 0.73/1.15 { ! le( X, Y, Z, T ), s_t( X, Y, ins( Z, T, X, Y ) ) }.
% 0.73/1.15 { ! le( X, Y, Z, T ), s_e( X, ins( Z, T, X, Y ), Z, T ) }.
% 0.73/1.15 { ! le( X, Y, Z, T ), ins( Z, T, X, Y ) = ext( X, Y, insert( X, Y, Z, T ),
% 0.73/1.15 T ) }.
% 0.73/1.15 { le( X, Y, Z, T ), ! s_t( X, Y, U ), ! s_e( X, U, Z, T ) }.
% 0.73/1.15 { ! le( X, Y, Z, T ), ! s_e( X, Y, U, W ), ! s_e( Z, T, V0, V1 ), le( U, W
% 0.73/1.15 , V0, V1 ) }.
% 0.73/1.15 { le( X, Y, X, Y ) }.
% 0.73/1.15 { ! le( X, Y, Z, T ), ! le( Z, T, U, W ), le( X, Y, U, W ) }.
% 0.73/1.15 { ! le( X, Y, Z, T ), ! le( Z, T, X, Y ), s_e( X, Y, Z, T ) }.
% 0.73/1.15 { le( X, Y, Z, T ), le( Z, T, X, Y ) }.
% 0.73/1.15 { le( X, X, Y, Z ) }.
% 0.73/1.15 { ! s_col( X, Y, Z ), ! s_t( X, Y, Z ), le( X, Y, X, Z ) }.
% 0.73/1.15 { ! s_col( X, Y, Z ), ! s_t( X, Y, Z ), le( Y, Z, X, Z ) }.
% 0.73/1.15 { ! s_t( X, Y, Z ), ! s_e( X, Z, X, Y ), Z = Y }.
% 0.73/1.15 { ! s_col( X, Y, Z ), s_t( X, Y, Z ), ! le( X, Y, X, Z ), ! le( Y, Z, X, Z
% 0.73/1.15 ) }.
% 0.73/1.15 { X = Y, Z = Y, T = Y, ! s_t( X, Y, T ), ! s_t( Z, Y, T ), sameside( X, Y,
% 0.73/1.15 Z ) }.
% 0.73/1.15 { X = Y, Z = Y, T = Y, ! s_t( X, Y, T ), s_t( Z, Y, T ), ! sameside( X, Y,
% 0.73/1.15 Z ) }.
% 0.73/1.15 { ! sameside( X, Y, Z ), ! X = Y }.
% 0.73/1.15 { ! sameside( X, Y, Z ), ! Z = Y }.
% 0.73/1.15 { ! sameside( X, Y, Z ), ! c63( X, Y, Z ) = Y }.
% 0.73/1.15 { ! sameside( X, Y, Z ), s_t( X, Y, c63( X, Y, Z ) ) }.
% 0.73/1.15 { ! sameside( X, Y, Z ), s_t( Z, Y, c63( X, Y, Z ) ) }.
% 0.73/1.15 { sameside( X, Y, Z ), X = Y, Z = Y, T = Y, ! s_t( X, Y, T ), ! s_t( Z, Y,
% 0.73/1.15 T ) }.
% 0.73/1.15 { ! sameside( X, Y, Z ), s_col( X, Y, Z ) }.
% 0.73/1.15 { ! sameside( X, Y, Z ), ! s_t( X, Y, Z ) }.
% 0.73/1.15 { sameside( X, Y, Z ), ! s_col( X, Y, Z ), s_t( X, Y, Z ) }.
% 0.73/1.15 { X = Y, sameside( X, Y, X ) }.
% 0.73/1.15 { ! sameside( X, Y, Z ), sameside( Z, Y, X ) }.
% 0.73/1.15 { ! sameside( X, Y, Z ), ! sameside( Z, Y, T ), sameside( X, Y, T ) }.
% 0.73/1.15 { X = Y, Z = T, sameside( insert( Z, T, Y, X ), Y, X ) }.
% 0.73/1.15 { X = Y, Z = T, s_e( Y, insert( Z, T, Y, X ), Z, T ) }.
% 0.73/1.15 { X = Y, Z = T, ! sameside( U, Y, X ), ! s_e( Y, U, Z, T ), ! sameside( W,
% 0.73/1.15 Y, X ), ! s_e( Y, W, Z, T ), U = W }.
% 0.73/1.15 { ! sameside( X, Y, Z ), ! le( Y, X, Y, Z ), s_t( Y, X, Z ) }.
% 0.73/1.15 { ! sameside( X, Y, Z ), le( Y, X, Y, Z ), ! s_t( Y, X, Z ) }.
% 0.73/1.15 { X = Y, X = Z, ! s_t( Y, X, Z ), ! s_col( T, X, Y ), T = X, sameside( T, X
% 0.73/1.15 , Y ), sameside( T, X, Z ) }.
% 0.73/1.15 { X = Y, X = Z, ! s_t( Y, X, Z ), ! sameside( T, X, Y ), s_col( T, X, Y ) }
% 0.73/1.15 .
% 0.73/1.15 { X = Y, X = Z, ! s_t( Y, X, Z ), ! sameside( T, X, Z ), s_col( T, X, Y ) }
% 0.73/1.15 .
% 0.73/1.15 { X = Y, X = Z, ! s_t( Y, X, Z ), ! T = X, s_col( T, X, Y ) }.
% 0.73/1.15 { X = Y, ! s_t( Z, X, Y ), ! s_t( T, X, Y ), s_t( T, Z, Y ), s_t( Z, T, Y )
% 0.73/1.15 }.
% 0.73/1.15 { X = Y, Z = X, ! s_col( X, Y, Z ), ! s_col( X, Y, T ), s_col( X, Z, T ) }
% 0.73/1.15 .
% 0.73/1.15 { X = Y, s_col( X, Y, X ) }.
% 0.73/1.15 { X = Y, ! s_col( X, Y, Z ), s_col( Y, X, Z ) }.
% 0.73/1.15 { X = Y, Z = T, ! s_col( Z, T, X ), ! s_col( Z, T, Y ), ! s_col( Z, T, U )
% 0.73/1.15 , s_col( X, Y, U ) }.
% 0.73/1.15 { X = Y, Z = T, ! s_col( X, Y, U ), ! s_col( Z, T, U ), ! s_col( X, Y, W )
% 0.73/1.15 , ! s_col( Z, T, W ), U = W, ! s_col( X, Y, V0 ), s_col( Z, T, V0 ) }.
% 0.73/1.15 { X = Y, ! s_col( X, Y, pointOffLine( X, Y ) ) }.
% 0.73/1.15 { ! sameside( X, Y, Z ), ! sameside( T, U, W ), ! s_e( Y, X, U, T ), ! s_e
% 0.73/1.15 ( Y, Z, U, W ), s_e( X, Z, T, W ) }.
% 0.73/1.15 { ! s_m( X, Y, Z ), s_m( Z, Y, X ) }.
% 0.73/1.15 { ! s_m( X, Y, X ), Y = X }.
% 0.73/1.15 { s_m( X, Y, X ), ! Y = X }.
% 0.73/1.15 { s_m( X, Y, s( Y, X ) ) }.
% 0.73/1.15 { ! s_m( X, Y, Z ), ! s_m( X, Y, T ), Z = T }.
% 0.73/1.15 { ! s_m( X, Y, Z ), Z = s( Y, X ) }.
% 0.73/1.15 { s( X, s( X, Y ) ) = Y }.
% 0.73/1.15 { s( skol1, skol2 ) = skol3 }.
% 0.73/1.15 { s( skol1, skol4 ) = skol3 }.
% 0.73/1.15 { ! skol2 = skol4 }.
% 0.73/1.15 { insert( X, Y, Z, T ) = ext( ext( T, Z, alpha, gamma ), Z, X, Y ) }.
% 0.73/1.15 { ! s_afs( X, Y, Z, T, U, W, V0, V1 ), s_t( X, Y, Z ) }.
% 0.73/1.15 { ! s_afs( X, Y, Z, T, U, W, V0, V1 ), s_t( U, W, V0 ) }.
% 0.73/1.15 { ! s_afs( X, Y, Z, T, U, W, V0, V1 ), s_e( X, Y, U, W ) }.
% 0.73/1.15 { ! s_afs( X, Y, Z, T, U, W, V0, V1 ), s_e( Y, Z, W, V0 ) }.
% 0.73/1.15 { ! s_afs( X, Y, Z, T, U, W, V0, V1 ), s_e( X, T, U, V1 ) }.
% 0.73/1.15 { ! s_afs( X, Y, Z, T, U, W, V0, V1 ), s_e( Y, T, W, V1 ) }.
% 0.73/1.15 { ! s_t( X, Y, Z ), ! s_t( U, W, V0 ), ! s_e( X, Y, U, W ), ! s_e( Y, Z, W
% 0.73/1.15 , V0 ), ! s_e( X, T, U, V1 ), ! s_e( Y, T, W, V1 ), s_afs( X, Y, Z, T, U
% 0.73/1.15 , W, V0, V1 ) }.
% 0.73/1.15 { ! s_ifs( X, Y, Z, T, U, W, V0, V1 ), s_t( X, Y, Z ) }.
% 0.73/1.15 { ! s_ifs( X, Y, Z, T, U, W, V0, V1 ), s_t( U, W, V0 ) }.
% 0.73/1.15 { ! s_ifs( X, Y, Z, T, U, W, V0, V1 ), s_e( X, Z, U, V0 ) }.
% 0.73/1.15 { ! s_ifs( X, Y, Z, T, U, W, V0, V1 ), s_e( Y, Z, W, V0 ) }.
% 0.73/1.15 { ! s_ifs( X, Y, Z, T, U, W, V0, V1 ), s_e( X, T, U, V1 ) }.
% 0.73/1.15 { ! s_ifs( X, Y, Z, T, U, W, V0, V1 ), s_e( Z, T, V0, V1 ) }.
% 0.73/1.15 { ! s_t( X, Y, Z ), ! s_t( U, W, V0 ), ! s_e( X, Z, U, V0 ), ! s_e( Y, Z, W
% 0.73/1.15 , V0 ), ! s_e( X, T, U, V1 ), ! s_e( Z, T, V0, V1 ), s_ifs( X, Y, Z, T, U
% 0.73/1.15 , W, V0, V1 ) }.
% 0.73/1.15 { ! s_e3( X, Y, Z, T, U, W ), s_e( X, Y, T, U ) }.
% 0.73/1.15 { ! s_e3( X, Y, Z, T, U, W ), s_e( X, Z, T, W ) }.
% 0.73/1.15 { ! s_e3( X, Y, Z, T, U, W ), s_e( Y, Z, U, W ) }.
% 1.64/2.02 { ! s_e( X, Y, T, U ), ! s_e( X, Z, T, W ), ! s_e( Y, Z, U, W ), s_e3( X, Y
% 1.64/2.02 , Z, T, U, W ) }.
% 1.64/2.02 { ! s_col( X, Y, Z ), s_t( X, Y, Z ), s_t( Y, Z, X ), s_t( Z, X, Y ) }.
% 1.64/2.02 { s_col( X, Y, Z ), ! s_t( X, Y, Z ) }.
% 1.64/2.02 { s_col( X, Y, Z ), ! s_t( Y, Z, X ) }.
% 1.64/2.02 { s_col( X, Y, Z ), ! s_t( Z, X, Y ) }.
% 1.64/2.02 { ! s_fs( X, Y, Z, T, U, W, V0, V1 ), s_col( X, Y, Z ) }.
% 1.64/2.02 { ! s_fs( X, Y, Z, T, U, W, V0, V1 ), s_e3( X, Y, Z, U, W, V0 ) }.
% 1.64/2.02 { ! s_fs( X, Y, Z, T, U, W, V0, V1 ), s_e( X, T, U, V1 ) }.
% 1.64/2.02 { ! s_fs( X, Y, Z, T, U, W, V0, V1 ), s_e( Y, T, W, V1 ) }.
% 1.64/2.02 { ! s_col( X, Y, Z ), ! s_e3( X, Y, Z, U, W, V0 ), ! s_e( X, T, U, V1 ), !
% 1.64/2.02 s_e( Y, T, W, V1 ), s_fs( X, Y, Z, T, U, W, V0, V1 ) }.
% 1.64/2.02 { ! le( X, Y, Z, T ), s_t( Z, insert( X, Y, Z, T ), T ) }.
% 1.64/2.02 { ! le( X, Y, Z, T ), s_e( X, Y, Z, insert( X, Y, Z, T ) ) }.
% 1.64/2.02 { ! s_t( Z, U, T ), ! s_e( X, Y, Z, U ), le( X, Y, Z, T ) }.
% 1.64/2.02 { ! sameside( X, Y, Z ), ! X = Y }.
% 1.64/2.02 { ! sameside( X, Y, Z ), ! Z = Y }.
% 1.64/2.02 { ! sameside( X, Y, Z ), s_t( Y, X, Z ), s_t( Y, Z, X ) }.
% 1.64/2.02 { ! s_t( Y, X, Z ), X = Y, xb = Y, sameside( X, Y, Z ) }.
% 1.64/2.02 { ! s_t( Y, Z, X ), X = Y, Z = Y, sameside( X, Y, Z ) }.
% 1.64/2.02 { ! s_m( X, Y, Z ), s_t( X, Y, Z ) }.
% 1.64/2.02 { ! s_m( X, Y, Z ), s_e( Y, X, Y, Z ) }.
% 1.64/2.02 { ! s_t( X, Y, Z ), ! s_e( Y, X, Y, Z ), s_m( X, Y, Z ) }.
% 1.64/2.02 { ! s_kf( X, Y, Z, T, U, W, V0 ), s_t( X, T, V0 ) }.
% 1.64/2.02 { ! s_kf( X, Y, Z, T, U, W, V0 ), s_t( Z, T, U ) }.
% 1.64/2.02 { ! s_kf( X, Y, Z, T, U, W, V0 ), s_e( T, X, T, Z ) }.
% 1.64/2.02 { ! s_kf( X, Y, Z, T, U, W, V0 ), s_e( T, V0, T, U ) }.
% 1.64/2.02 { ! s_kf( X, Y, Z, T, U, W, V0 ), s_m( X, Y, Z ) }.
% 1.64/2.02 { ! s_kf( X, Y, Z, T, U, W, V0 ), s_m( V0, W, U ) }.
% 1.64/2.02 { ! s_t( X, T, V0 ), ! s_t( Z, T, U ), ! s_e( T, X, T, Z ), ! s_e( T, V0, T
% 1.64/2.02 , U ), ! s_m( X, Y, Z ), ! s_m( V0, W, U ), s_kf( X, Y, Z, T, U, W, V0 )
% 1.64/2.02 }.
% 1.64/2.02
% 1.64/2.02 percentage equality = 0.158140, percentage horn = 0.811688
% 1.64/2.02 This is a problem with some equality
% 1.64/2.02
% 1.64/2.02
% 1.64/2.02
% 1.64/2.02 Options Used:
% 1.64/2.02
% 1.64/2.02 useres = 1
% 1.64/2.02 useparamod = 1
% 1.64/2.02 useeqrefl = 1
% 1.64/2.02 useeqfact = 1
% 1.64/2.02 usefactor = 1
% 1.64/2.02 usesimpsplitting = 0
% 1.64/2.02 usesimpdemod = 5
% 1.64/2.02 usesimpres = 3
% 1.64/2.02
% 1.64/2.02 resimpinuse = 1000
% 1.64/2.02 resimpclauses = 20000
% 1.64/2.02 substype = eqrewr
% 1.64/2.02 backwardsubs = 1
% 1.64/2.02 selectoldest = 5
% 1.64/2.02
% 1.64/2.02 litorderings [0] = split
% 1.64/2.02 litorderings [1] = extend the termordering, first sorting on arguments
% 1.64/2.02
% 1.64/2.02 termordering = kbo
% 1.64/2.02
% 1.64/2.02 litapriori = 0
% 1.64/2.02 termapriori = 1
% 1.64/2.02 litaposteriori = 0
% 1.64/2.02 termaposteriori = 0
% 1.64/2.02 demodaposteriori = 0
% 1.64/2.02 ordereqreflfact = 0
% 1.64/2.02
% 1.64/2.02 litselect = negord
% 1.64/2.02
% 1.64/2.02 maxweight = 15
% 1.64/2.02 maxdepth = 30000
% 1.64/2.02 maxlength = 115
% 1.64/2.02 maxnrvars = 195
% 1.64/2.02 excuselevel = 1
% 1.64/2.02 increasemaxweight = 1
% 1.64/2.02
% 1.64/2.02 maxselected = 10000000
% 1.64/2.02 maxnrclauses = 10000000
% 1.64/2.02
% 1.64/2.02 showgenerated = 0
% 1.64/2.02 showkept = 0
% 1.64/2.02 showselected = 0
% 1.64/2.02 showdeleted = 0
% 1.64/2.02 showresimp = 1
% 1.64/2.02 showstatus = 2000
% 1.64/2.02
% 1.64/2.02 prologoutput = 0
% 1.64/2.02 nrgoals = 5000000
% 1.64/2.02 totalproof = 1
% 1.64/2.02
% 1.64/2.02 Symbols occurring in the translation:
% 1.64/2.02
% 1.64/2.02 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.64/2.02 . [1, 2] (w:1, o:58, a:1, s:1, b:0),
% 1.64/2.02 ! [4, 1] (w:0, o:53, a:1, s:1, b:0),
% 1.64/2.02 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.64/2.02 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.64/2.02 s_e [37, 4] (w:1, o:89, a:1, s:1, b:0),
% 1.64/2.02 ext [43, 4] (w:1, o:90, a:1, s:1, b:0),
% 1.64/2.02 s_t [44, 3] (w:1, o:84, a:1, s:1, b:0),
% 1.64/2.02 ip [54, 5] (w:1, o:94, a:1, s:1, b:0),
% 1.64/2.02 alpha [55, 0] (w:1, o:41, a:1, s:1, b:0),
% 1.64/2.02 beta [56, 0] (w:1, o:42, a:1, s:1, b:0),
% 1.64/2.02 gamma [57, 0] (w:1, o:43, a:1, s:1, b:0),
% 1.64/2.02 crossbar [67, 6] (w:1, o:96, a:1, s:1, b:0),
% 1.64/2.02 s_ifs [69, 8] (w:1, o:99, a:1, s:1, b:0),
% 1.64/2.02 insert [70, 4] (w:1, o:91, a:1, s:1, b:0),
% 1.64/2.02 s_e3 [71, 6] (w:1, o:97, a:1, s:1, b:0),
% 1.64/2.02 s_col [72, 3] (w:1, o:85, a:1, s:1, b:0),
% 1.64/2.02 insert5 [73, 5] (w:1, o:95, a:1, s:1, b:0),
% 1.64/2.02 s_fs [74, 8] (w:1, o:100, a:1, s:1, b:0),
% 1.64/2.02 le [75, 4] (w:1, o:92, a:1, s:1, b:0),
% 1.64/2.02 ins [76, 4] (w:1, o:93, a:1, s:1, b:0),
% 1.64/2.02 sameside [77, 3] (w:1, o:86, a:1, s:1, b:0),
% 1.64/2.02 c63 [78, 3] (w:1, o:87, a:1, s:1, b:0),
% 1.64/2.02 pointOffLine [81, 2] (w:1, o:82, a:1, s:1, b:0),
% 1.64/2.02 s_m [83, 3] (w:1, o:88, a:1, s:1, b:0),
% 1.64/2.02 s [84, 2] (w:1, o:83, a:1, s:1, b:0),
% 1.64/2.02 s_afs [89, 8] (w:1, o:101, a:1, s:1, b:0),
% 1.64/2.02 xb [94, 0] (w:1, o:48, a:1, s:1, b:0),
% 1.64/2.02 s_kf [97, 7] (w:1, o:98, a:1, s:1, b:0),
% 1.64/2.02 skol1 [98, 0] (w:1, o:49, a:1, s:1, b:1),
% 1.64/2.02 skol2 [99, 0] (w:1, o:50, a:1, s:1, b:1),
% 1.64/2.02 skol3 [100, 0] (w:1, o:51, a:1, s:1, b:1),
% 1.64/2.02 skol4 [101, 0] (w:1, o:52, a:1, s:1, b:1).
% 1.64/2.02
% 1.64/2.02
% 1.64/2.02 Starting Search:
% 1.64/2.02
% 1.64/2.02 *** allocated 15000 integers for clauses
% 1.64/2.02 *** allocated 22500 integers for clauses
% 1.64/2.02 *** allocated 22500 integers for termspace/termends
% 1.64/2.02 *** allocated 33750 integers for clauses
% 1.64/2.02 *** allocated 50625 integers for clauses
% 1.64/2.02 *** allocated 33750 integers for termspace/termends
% 1.64/2.02 Resimplifying inuse:
% 1.64/2.02 Done
% 1.64/2.02
% 1.64/2.02 *** allocated 75937 integers for clauses
% 1.64/2.02 *** allocated 50625 integers for termspace/termends
% 1.64/2.02 *** allocated 113905 integers for clauses
% 1.64/2.02
% 1.64/2.02 Intermediate Status:
% 1.64/2.02 Generated: 7758
% 1.64/2.02 Kept: 2026
% 1.64/2.02 Inuse: 105
% 1.64/2.02 Deleted: 0
% 1.64/2.02 Deletedinuse: 0
% 1.64/2.02
% 1.64/2.02 Resimplifying inuse:
% 1.64/2.02 Done
% 1.64/2.02
% 1.64/2.02 *** allocated 75937 integers for termspace/termends
% 1.64/2.02 *** allocated 170857 integers for clauses
% 1.64/2.02 Resimplifying inuse:
% 1.64/2.02 Done
% 1.64/2.02
% 1.64/2.02 *** allocated 113905 integers for termspace/termends
% 1.64/2.02 *** allocated 256285 integers for clauses
% 1.64/2.02
% 1.64/2.02 Intermediate Status:
% 1.64/2.02 Generated: 16512
% 1.64/2.02 Kept: 4035
% 1.64/2.02 Inuse: 171
% 1.64/2.02 Deleted: 8
% 1.64/2.02 Deletedinuse: 0
% 1.64/2.02
% 1.64/2.02 Resimplifying inuse:
% 1.64/2.02 Done
% 1.64/2.02
% 1.64/2.02 Resimplifying inuse:
% 1.64/2.02 Done
% 1.64/2.02
% 1.64/2.02 *** allocated 170857 integers for termspace/termends
% 1.64/2.02 *** allocated 384427 integers for clauses
% 1.64/2.02
% 1.64/2.02 Intermediate Status:
% 1.64/2.02 Generated: 32333
% 1.64/2.02 Kept: 6057
% 1.64/2.02 Inuse: 225
% 1.64/2.02 Deleted: 8
% 1.64/2.02 Deletedinuse: 0
% 1.64/2.02
% 1.64/2.02 Resimplifying inuse:
% 1.64/2.02 Done
% 1.64/2.02
% 1.64/2.02 Resimplifying inuse:
% 1.64/2.02 Done
% 1.64/2.02
% 1.64/2.02
% 1.64/2.02 Bliksems!, er is een bewijs:
% 1.64/2.02 % SZS status Theorem
% 1.64/2.02 % SZS output start Refutation
% 1.64/2.02
% 1.64/2.02 (106) {G0,W7,D4,L1,V2,M1} I { s( X, s( X, Y ) ) ==> Y }.
% 1.64/2.02 (107) {G0,W5,D3,L1,V0,M1} I { s( skol1, skol2 ) ==> skol3 }.
% 1.64/2.02 (108) {G0,W5,D3,L1,V0,M1} I { s( skol1, skol4 ) ==> skol3 }.
% 1.64/2.02 (109) {G0,W3,D2,L1,V0,M1} I { ! skol4 ==> skol2 }.
% 1.64/2.02 (7651) {G1,W5,D3,L1,V0,M1} P(107,106) { s( skol1, skol3 ) ==> skol2 }.
% 1.64/2.02 (7652) {G2,W3,D2,L1,V0,M1} P(108,106);d(7651) { skol4 ==> skol2 }.
% 1.64/2.02 (7657) {G3,W0,D0,L0,V0,M0} S(7652);r(109) { }.
% 1.64/2.02
% 1.64/2.02
% 1.64/2.02 % SZS output end Refutation
% 1.64/2.02 found a proof!
% 1.64/2.02
% 1.64/2.02
% 1.64/2.02 Unprocessed initial clauses:
% 1.64/2.02
% 1.64/2.02 (7659) {G0,W5,D2,L1,V2,M1} { s_e( X, Y, Y, X ) }.
% 1.64/2.02 (7660) {G0,W15,D2,L3,V6,M3} { ! s_e( X, Y, Z, T ), ! s_e( X, Y, U, W ),
% 1.64/2.02 s_e( Z, T, U, W ) }.
% 1.64/2.02 (7661) {G0,W8,D2,L2,V3,M2} { ! s_e( X, Y, Z, Z ), X = Y }.
% 1.64/2.02 (7662) {G0,W8,D3,L1,V4,M1} { s_t( X, Y, ext( X, Y, Z, T ) ) }.
% 1.64/2.02 (7663) {G0,W9,D3,L1,V4,M1} { s_e( Y, ext( X, Y, Z, T ), Z, T ) }.
% 1.64/2.02 (7664) {G0,W36,D2,L8,V8,M8} { ! s_e( X, Y, Z, T ), ! s_e( Y, U, T, W ), !
% 1.64/2.02 s_e( X, V0, Z, V1 ), ! s_e( Y, V0, T, V1 ), ! s_t( X, Y, U ), ! s_t( Z, T
% 1.64/2.02 , W ), X = Y, s_e( U, V0, W, V1 ) }.
% 1.64/2.02 (7665) {G0,W7,D2,L2,V2,M2} { ! s_t( X, Y, X ), X = Y }.
% 1.64/2.02 (7666) {G0,W17,D3,L3,V5,M3} { ! s_t( X, Y, Z ), ! s_t( T, U, Z ), s_t( Y,
% 1.64/2.02 ip( X, Y, Z, T, U ), T ) }.
% 1.64/2.02 (7667) {G0,W17,D3,L3,V5,M3} { ! s_t( X, Y, Z ), ! s_t( T, U, Z ), s_t( U,
% 1.64/2.02 ip( X, Y, Z, T, U ), X ) }.
% 1.64/2.02 (7668) {G0,W4,D2,L1,V0,M1} { ! s_t( alpha, beta, gamma ) }.
% 1.64/2.02 (7669) {G0,W4,D2,L1,V0,M1} { ! s_t( beta, gamma, alpha ) }.
% 1.64/2.02 (7670) {G0,W4,D2,L1,V0,M1} { ! s_t( gamma, alpha, beta ) }.
% 1.64/2.02 (7671) {G0,W5,D2,L1,V2,M1} { s_e( X, Y, X, Y ) }.
% 1.64/2.02 (7672) {G0,W10,D2,L2,V4,M2} { ! s_e( X, Y, Z, T ), s_e( Z, T, X, Y ) }.
% 1.64/2.02 (7673) {G0,W15,D2,L3,V6,M3} { ! s_e( X, Y, Z, T ), ! s_e( Z, T, U, W ),
% 1.64/2.02 s_e( X, Y, U, W ) }.
% 1.64/2.02 (7674) {G0,W10,D2,L2,V4,M2} { ! s_e( X, Y, Z, T ), s_e( Y, X, Z, T ) }.
% 1.64/2.02 (7675) {G0,W10,D2,L2,V4,M2} { ! s_e( X, Y, Z, T ), s_e( X, Y, T, Z ) }.
% 1.64/2.02 (7676) {G0,W5,D2,L1,V2,M1} { s_e( X, X, Y, Y ) }.
% 1.64/2.02 (7677) {G0,W23,D2,L5,V6,M5} { ! s_t( X, Y, Z ), ! s_t( T, U, W ), ! s_e( X
% 1.64/2.02 , Y, T, U ), ! s_e( Y, Z, U, W ), s_e( X, Z, T, W ) }.
% 1.64/2.02 (7678) {G0,W19,D3,L4,V5,M4} { X = Y, ! s_t( X, Y, Z ), ! s_e( Y, Z, T, U )
% 1.64/2.02 , Z = ext( X, Y, T, U ) }.
% 1.64/2.02 (7679) {G0,W8,D2,L2,V3,M2} { ! s_e( X, Y, Z, Z ), X = Y }.
% 1.64/2.02 (7680) {G0,W10,D2,L2,V4,M2} { ! s_e( X, Y, Z, T ), s_e( Y, X, T, Z ) }.
% 1.64/2.02 (7681) {G0,W23,D2,L5,V6,M5} { ! s_t( X, Y, Z ), ! s_t( T, U, W ), ! s_e( X
% 1.64/2.02 , Y, U, W ), ! s_e( Y, Z, T, U ), s_e( X, Z, T, W ) }.
% 1.64/2.02 (7682) {G0,W4,D2,L1,V2,M1} { s_t( X, Y, Y ) }.
% 1.64/2.02 (7683) {G0,W8,D2,L2,V3,M2} { ! s_t( X, Y, Z ), s_t( Z, Y, X ) }.
% 1.64/2.02 (7684) {G0,W4,D2,L1,V2,M1} { s_t( X, X, Y ) }.
% 1.64/2.02 (7685) {G0,W11,D2,L3,V3,M3} { ! s_t( X, Y, Z ), ! s_t( Y, X, Z ), X = Y
% 1.64/2.02 }.
% 1.64/2.02 (7686) {G0,W12,D2,L3,V4,M3} { ! s_t( X, Y, Z ), ! s_t( Y, T, Z ), s_t( X,
% 1.64/2.02 Y, T ) }.
% 1.64/2.02 (7687) {G0,W12,D2,L3,V4,M3} { ! s_t( X, Y, Z ), ! s_t( X, Z, T ), s_t( Y,
% 1.64/2.02 Z, T ) }.
% 1.64/2.02 (7688) {G0,W15,D2,L4,V4,M4} { ! s_t( X, Y, Z ), ! s_t( Y, Z, T ), Y = Z,
% 1.64/2.02 s_t( X, Z, T ) }.
% 1.64/2.02 (7689) {G0,W12,D2,L3,V4,M3} { ! s_t( X, Y, Z ), ! s_t( Y, T, Z ), s_t( X,
% 1.64/2.02 T, Z ) }.
% 1.64/2.02 (7690) {G0,W12,D2,L3,V4,M3} { ! s_t( X, Y, Z ), ! s_t( X, Z, T ), s_t( X,
% 1.64/2.02 Y, T ) }.
% 1.64/2.02 (7691) {G0,W15,D2,L4,V4,M4} { ! s_t( X, Y, Z ), ! s_t( Y, Z, T ), Y = Z,
% 1.64/2.02 s_t( X, Y, T ) }.
% 1.64/2.02 (7692) {G0,W3,D2,L1,V0,M1} { ! alpha = beta }.
% 1.64/2.02 (7693) {G0,W3,D2,L1,V0,M1} { ! beta = gamma }.
% 1.64/2.02 (7694) {G0,W3,D2,L1,V0,M1} { ! alpha = gamma }.
% 1.64/2.02 (7695) {G0,W8,D3,L1,V2,M1} { s_t( X, Y, ext( X, Y, alpha, gamma ) ) }.
% 1.64/2.02 (7696) {G0,W7,D3,L1,V2,M1} { ! X = ext( Y, X, alpha, gamma ) }.
% 1.64/2.02 (7697) {G0,W22,D3,L4,V6,M4} { ! s_t( X, Y, Z ), ! s_t( T, U, Z ), ! s_t( X
% 1.64/2.02 , W, T ), s_t( W, crossbar( X, Y, Z, T, U, W ), Z ) }.
% 1.64/2.02 (7698) {G0,W22,D3,L4,V6,M4} { ! s_t( X, Y, Z ), ! s_t( T, U, Z ), ! s_t( X
% 1.64/2.02 , W, T ), s_t( Y, crossbar( X, Y, Z, T, U, W ), U ) }.
% 1.64/2.02 (7699) {G0,W14,D2,L2,V8,M2} { ! s_ifs( U, X, W, Y, V0, Z, V1, T ), s_e( X
% 1.64/2.02 , Y, Z, T ) }.
% 1.64/2.02 (7700) {G0,W23,D2,L5,V6,M5} { ! s_t( X, Y, Z ), ! s_t( T, U, W ), ! s_e( X
% 1.64/2.02 , Z, T, W ), ! s_e( Y, Z, U, W ), s_e( X, Y, T, U ) }.
% 1.64/2.02 (7701) {G0,W17,D3,L3,V5,M3} { ! s_t( X, Y, Z ), ! s_e( X, Z, T, U ), s_t(
% 1.64/2.02 T, insert( X, Y, T, U ), U ) }.
% 1.64/2.02 (7702) {G0,W20,D3,L3,V5,M3} { ! s_t( X, Y, Z ), ! s_e( X, Z, T, U ), s_e3
% 1.64/2.02 ( X, Y, Z, T, insert( X, Y, T, U ), U ) }.
% 1.64/2.02 (7703) {G0,W15,D2,L3,V6,M3} { ! s_t( X, Y, Z ), ! s_e3( X, Y, Z, T, U, W )
% 1.64/2.02 , s_t( T, U, W ) }.
% 1.64/2.02 (7704) {G0,W8,D2,L2,V3,M2} { ! s_col( X, Y, Z ), s_col( Y, Z, X ) }.
% 1.64/2.02 (7705) {G0,W8,D2,L2,V3,M2} { ! s_col( X, Y, Z ), s_col( Z, X, Y ) }.
% 1.64/2.02 (7706) {G0,W8,D2,L2,V3,M2} { ! s_col( X, Y, Z ), s_col( Z, Y, X ) }.
% 1.64/2.02 (7707) {G0,W8,D2,L2,V3,M2} { ! s_col( X, Y, Z ), s_col( Y, X, Z ) }.
% 1.64/2.02 (7708) {G0,W8,D2,L2,V3,M2} { ! s_col( X, Y, Z ), s_col( X, Z, Y ) }.
% 1.64/2.02 (7709) {G0,W4,D2,L1,V2,M1} { s_col( X, X, Y ) }.
% 1.64/2.02 (7710) {G0,W4,D2,L1,V2,M1} { s_col( X, Y, X ) }.
% 1.64/2.02 (7711) {G0,W15,D2,L3,V6,M3} { ! s_col( X, Y, Z ), ! s_e3( X, Y, Z, T, U, W
% 1.64/2.02 ), s_col( T, U, W ) }.
% 1.64/2.02 (7712) {G0,W21,D3,L3,V5,M3} { ! s_col( X, Y, Z ), ! s_e( X, Y, T, U ),
% 1.64/2.02 s_e3( X, Y, Z, T, U, insert5( X, Y, Z, T, U ) ) }.
% 1.64/2.02 (7713) {G0,W17,D2,L3,V8,M3} { ! s_fs( X, Y, Z, T, V0, V1, U, W ), X = Y,
% 1.64/2.02 s_e( Z, T, U, W ) }.
% 1.64/2.02 (7714) {G0,W22,D2,L5,V5,M5} { X = Y, ! s_col( X, Y, Z ), ! s_e( X, T, X, U
% 1.64/2.02 ), ! s_e( Y, T, Y, U ), s_e( Z, T, Z, U ) }.
% 1.64/2.02 (7715) {G0,W20,D2,L5,V4,M5} { X = Y, ! s_col( X, Y, Z ), ! s_e( X, Z, X, T
% 1.64/2.02 ), ! s_e( Y, Z, Y, T ), Z = T }.
% 1.64/2.02 (7716) {G0,W17,D2,L4,V4,M4} { ! s_t( X, Y, Z ), ! s_e( X, Y, X, T ), ! s_e
% 1.64/2.02 ( Z, Y, Z, T ), Y = T }.
% 1.64/2.02 (7717) {G0,W19,D2,L5,V4,M5} { X = Y, ! s_t( X, Y, Z ), ! s_t( X, Y, T ),
% 1.64/2.02 s_t( X, Z, T ), s_t( X, T, Z ) }.
% 1.64/2.02 (7718) {G0,W19,D2,L5,V4,M5} { X = Y, ! s_t( X, Y, Z ), ! s_t( X, Y, T ),
% 1.64/2.02 s_t( Y, Z, T ), s_t( Y, T, Z ) }.
% 1.64/2.02 (7719) {G0,W16,D2,L4,V4,M4} { ! s_t( X, Y, Z ), ! s_t( X, T, Z ), s_t( X,
% 1.64/2.02 Y, T ), s_t( X, T, Y ) }.
% 1.64/2.02 (7720) {G0,W13,D3,L2,V4,M2} { ! le( X, Y, Z, T ), s_t( X, Y, ins( Z, T, X
% 1.64/2.02 , Y ) ) }.
% 1.64/2.02 (7721) {G0,W14,D3,L2,V4,M2} { ! le( X, Y, Z, T ), s_e( X, ins( Z, T, X, Y
% 1.64/2.02 ), Z, T ) }.
% 1.64/2.02 (7722) {G0,W20,D4,L2,V4,M2} { ! le( X, Y, Z, T ), ins( Z, T, X, Y ) = ext
% 1.64/2.02 ( X, Y, insert( X, Y, Z, T ), T ) }.
% 1.64/2.02 (7723) {G0,W14,D2,L3,V5,M3} { le( X, Y, Z, T ), ! s_t( X, Y, U ), ! s_e( X
% 1.64/2.02 , U, Z, T ) }.
% 1.64/2.02 (7724) {G0,W20,D2,L4,V8,M4} { ! le( X, Y, Z, T ), ! s_e( X, Y, U, W ), !
% 1.64/2.02 s_e( Z, T, V0, V1 ), le( U, W, V0, V1 ) }.
% 1.64/2.02 (7725) {G0,W5,D2,L1,V2,M1} { le( X, Y, X, Y ) }.
% 1.64/2.02 (7726) {G0,W15,D2,L3,V6,M3} { ! le( X, Y, Z, T ), ! le( Z, T, U, W ), le(
% 1.64/2.02 X, Y, U, W ) }.
% 1.64/2.02 (7727) {G0,W15,D2,L3,V4,M3} { ! le( X, Y, Z, T ), ! le( Z, T, X, Y ), s_e
% 1.64/2.02 ( X, Y, Z, T ) }.
% 1.64/2.02 (7728) {G0,W10,D2,L2,V4,M2} { le( X, Y, Z, T ), le( Z, T, X, Y ) }.
% 1.64/2.02 (7729) {G0,W5,D2,L1,V3,M1} { le( X, X, Y, Z ) }.
% 1.64/2.02 (7730) {G0,W13,D2,L3,V3,M3} { ! s_col( X, Y, Z ), ! s_t( X, Y, Z ), le( X
% 1.64/2.02 , Y, X, Z ) }.
% 1.64/2.02 (7731) {G0,W13,D2,L3,V3,M3} { ! s_col( X, Y, Z ), ! s_t( X, Y, Z ), le( Y
% 1.64/2.02 , Z, X, Z ) }.
% 1.64/2.02 (7732) {G0,W12,D2,L3,V3,M3} { ! s_t( X, Y, Z ), ! s_e( X, Z, X, Y ), Z = Y
% 1.64/2.02 }.
% 1.64/2.02 (7733) {G0,W18,D2,L4,V3,M4} { ! s_col( X, Y, Z ), s_t( X, Y, Z ), ! le( X
% 1.64/2.02 , Y, X, Z ), ! le( Y, Z, X, Z ) }.
% 1.64/2.02 (7734) {G0,W21,D2,L6,V4,M6} { X = Y, Z = Y, T = Y, ! s_t( X, Y, T ), ! s_t
% 1.64/2.02 ( Z, Y, T ), sameside( X, Y, Z ) }.
% 1.64/2.02 (7735) {G0,W21,D2,L6,V4,M6} { X = Y, Z = Y, T = Y, ! s_t( X, Y, T ), s_t(
% 1.64/2.02 Z, Y, T ), ! sameside( X, Y, Z ) }.
% 1.64/2.02 (7736) {G0,W7,D2,L2,V3,M2} { ! sameside( X, Y, Z ), ! X = Y }.
% 1.64/2.02 (7737) {G0,W7,D2,L2,V3,M2} { ! sameside( X, Y, Z ), ! Z = Y }.
% 1.64/2.02 (7738) {G0,W10,D3,L2,V3,M2} { ! sameside( X, Y, Z ), ! c63( X, Y, Z ) = Y
% 1.64/2.02 }.
% 1.64/2.02 (7739) {G0,W11,D3,L2,V3,M2} { ! sameside( X, Y, Z ), s_t( X, Y, c63( X, Y
% 1.64/2.02 , Z ) ) }.
% 1.64/2.02 (7740) {G0,W11,D3,L2,V3,M2} { ! sameside( X, Y, Z ), s_t( Z, Y, c63( X, Y
% 1.64/2.02 , Z ) ) }.
% 1.64/2.02 (7741) {G0,W21,D2,L6,V4,M6} { sameside( X, Y, Z ), X = Y, Z = Y, T = Y, !
% 1.64/2.02 s_t( X, Y, T ), ! s_t( Z, Y, T ) }.
% 1.64/2.02 (7742) {G0,W8,D2,L2,V3,M2} { ! sameside( X, Y, Z ), s_col( X, Y, Z ) }.
% 1.64/2.02 (7743) {G0,W8,D2,L2,V3,M2} { ! sameside( X, Y, Z ), ! s_t( X, Y, Z ) }.
% 1.64/2.02 (7744) {G0,W12,D2,L3,V3,M3} { sameside( X, Y, Z ), ! s_col( X, Y, Z ), s_t
% 1.64/2.02 ( X, Y, Z ) }.
% 1.64/2.02 (7745) {G0,W7,D2,L2,V2,M2} { X = Y, sameside( X, Y, X ) }.
% 1.64/2.02 (7746) {G0,W8,D2,L2,V3,M2} { ! sameside( X, Y, Z ), sameside( Z, Y, X )
% 1.64/2.02 }.
% 1.64/2.02 (7747) {G0,W12,D2,L3,V4,M3} { ! sameside( X, Y, Z ), ! sameside( Z, Y, T )
% 1.64/2.02 , sameside( X, Y, T ) }.
% 1.64/2.02 (7748) {G0,W14,D3,L3,V4,M3} { X = Y, Z = T, sameside( insert( Z, T, Y, X )
% 1.64/2.02 , Y, X ) }.
% 1.64/2.02 (7749) {G0,W15,D3,L3,V4,M3} { X = Y, Z = T, s_e( Y, insert( Z, T, Y, X ),
% 1.64/2.02 Z, T ) }.
% 1.64/2.02 (7750) {G0,W27,D2,L7,V6,M7} { X = Y, Z = T, ! sameside( U, Y, X ), ! s_e(
% 1.64/2.02 Y, U, Z, T ), ! sameside( W, Y, X ), ! s_e( Y, W, Z, T ), U = W }.
% 1.64/2.02 (7751) {G0,W13,D2,L3,V3,M3} { ! sameside( X, Y, Z ), ! le( Y, X, Y, Z ),
% 1.64/2.02 s_t( Y, X, Z ) }.
% 1.64/2.02 (7752) {G0,W13,D2,L3,V3,M3} { ! sameside( X, Y, Z ), le( Y, X, Y, Z ), !
% 1.64/2.02 s_t( Y, X, Z ) }.
% 1.64/2.02 (7753) {G0,W25,D2,L7,V4,M7} { X = Y, X = Z, ! s_t( Y, X, Z ), ! s_col( T,
% 1.64/2.02 X, Y ), T = X, sameside( T, X, Y ), sameside( T, X, Z ) }.
% 1.64/2.02 (7754) {G0,W18,D2,L5,V4,M5} { X = Y, X = Z, ! s_t( Y, X, Z ), ! sameside(
% 1.64/2.02 T, X, Y ), s_col( T, X, Y ) }.
% 1.64/2.02 (7755) {G0,W18,D2,L5,V4,M5} { X = Y, X = Z, ! s_t( Y, X, Z ), ! sameside(
% 1.64/2.02 T, X, Z ), s_col( T, X, Y ) }.
% 1.64/2.02 (7756) {G0,W17,D2,L5,V4,M5} { X = Y, X = Z, ! s_t( Y, X, Z ), ! T = X,
% 1.64/2.02 s_col( T, X, Y ) }.
% 1.64/2.02 (7757) {G0,W19,D2,L5,V4,M5} { X = Y, ! s_t( Z, X, Y ), ! s_t( T, X, Y ),
% 1.64/2.02 s_t( T, Z, Y ), s_t( Z, T, Y ) }.
% 1.64/2.02 (7758) {G0,W18,D2,L5,V4,M5} { X = Y, Z = X, ! s_col( X, Y, Z ), ! s_col( X
% 1.64/2.02 , Y, T ), s_col( X, Z, T ) }.
% 1.64/2.02 (7759) {G0,W7,D2,L2,V2,M2} { X = Y, s_col( X, Y, X ) }.
% 1.64/2.02 (7760) {G0,W11,D2,L3,V3,M3} { X = Y, ! s_col( X, Y, Z ), s_col( Y, X, Z )
% 1.64/2.02 }.
% 1.64/2.02 (7761) {G0,W22,D2,L6,V5,M6} { X = Y, Z = T, ! s_col( Z, T, X ), ! s_col( Z
% 1.64/2.02 , T, Y ), ! s_col( Z, T, U ), s_col( X, Y, U ) }.
% 1.64/2.02 (7762) {G0,W33,D2,L9,V7,M9} { X = Y, Z = T, ! s_col( X, Y, U ), ! s_col( Z
% 1.64/2.02 , T, U ), ! s_col( X, Y, W ), ! s_col( Z, T, W ), U = W, ! s_col( X, Y,
% 1.64/2.02 V0 ), s_col( Z, T, V0 ) }.
% 1.64/2.02 (7763) {G0,W9,D3,L2,V2,M2} { X = Y, ! s_col( X, Y, pointOffLine( X, Y ) )
% 1.64/2.02 }.
% 1.64/2.02 (7764) {G0,W23,D2,L5,V6,M5} { ! sameside( X, Y, Z ), ! sameside( T, U, W )
% 1.64/2.02 , ! s_e( Y, X, U, T ), ! s_e( Y, Z, U, W ), s_e( X, Z, T, W ) }.
% 1.64/2.02 (7765) {G0,W8,D2,L2,V3,M2} { ! s_m( X, Y, Z ), s_m( Z, Y, X ) }.
% 1.64/2.02 (7766) {G0,W7,D2,L2,V2,M2} { ! s_m( X, Y, X ), Y = X }.
% 1.64/2.02 (7767) {G0,W7,D2,L2,V2,M2} { s_m( X, Y, X ), ! Y = X }.
% 1.64/2.02 (7768) {G0,W6,D3,L1,V2,M1} { s_m( X, Y, s( Y, X ) ) }.
% 1.64/2.02 (7769) {G0,W11,D2,L3,V4,M3} { ! s_m( X, Y, Z ), ! s_m( X, Y, T ), Z = T
% 1.64/2.02 }.
% 1.64/2.02 (7770) {G0,W9,D3,L2,V3,M2} { ! s_m( X, Y, Z ), Z = s( Y, X ) }.
% 1.64/2.02 (7771) {G0,W7,D4,L1,V2,M1} { s( X, s( X, Y ) ) = Y }.
% 1.64/2.02 (7772) {G0,W5,D3,L1,V0,M1} { s( skol1, skol2 ) = skol3 }.
% 1.64/2.02 (7773) {G0,W5,D3,L1,V0,M1} { s( skol1, skol4 ) = skol3 }.
% 1.64/2.02 (7774) {G0,W3,D2,L1,V0,M1} { ! skol2 = skol4 }.
% 1.64/2.02 (7775) {G0,W15,D4,L1,V4,M1} { insert( X, Y, Z, T ) = ext( ext( T, Z, alpha
% 1.64/2.02 , gamma ), Z, X, Y ) }.
% 1.64/2.02 (7776) {G0,W13,D2,L2,V8,M2} { ! s_afs( X, Y, Z, T, U, W, V0, V1 ), s_t( X
% 1.64/2.02 , Y, Z ) }.
% 1.64/2.02 (7777) {G0,W13,D2,L2,V8,M2} { ! s_afs( X, Y, Z, T, U, W, V0, V1 ), s_t( U
% 1.64/2.02 , W, V0 ) }.
% 1.64/2.02 (7778) {G0,W14,D2,L2,V8,M2} { ! s_afs( X, Y, Z, T, U, W, V0, V1 ), s_e( X
% 1.64/2.02 , Y, U, W ) }.
% 1.64/2.02 (7779) {G0,W14,D2,L2,V8,M2} { ! s_afs( X, Y, Z, T, U, W, V0, V1 ), s_e( Y
% 1.64/2.02 , Z, W, V0 ) }.
% 1.64/2.02 (7780) {G0,W14,D2,L2,V8,M2} { ! s_afs( X, Y, Z, T, U, W, V0, V1 ), s_e( X
% 1.64/2.02 , T, U, V1 ) }.
% 1.64/2.02 (7781) {G0,W14,D2,L2,V8,M2} { ! s_afs( X, Y, Z, T, U, W, V0, V1 ), s_e( Y
% 1.64/2.02 , T, W, V1 ) }.
% 1.64/2.02 (7782) {G0,W37,D2,L7,V8,M7} { ! s_t( X, Y, Z ), ! s_t( U, W, V0 ), ! s_e(
% 1.64/2.02 X, Y, U, W ), ! s_e( Y, Z, W, V0 ), ! s_e( X, T, U, V1 ), ! s_e( Y, T, W
% 1.64/2.02 , V1 ), s_afs( X, Y, Z, T, U, W, V0, V1 ) }.
% 1.64/2.02 (7783) {G0,W13,D2,L2,V8,M2} { ! s_ifs( X, Y, Z, T, U, W, V0, V1 ), s_t( X
% 1.64/2.02 , Y, Z ) }.
% 1.64/2.02 (7784) {G0,W13,D2,L2,V8,M2} { ! s_ifs( X, Y, Z, T, U, W, V0, V1 ), s_t( U
% 1.64/2.02 , W, V0 ) }.
% 1.64/2.02 (7785) {G0,W14,D2,L2,V8,M2} { ! s_ifs( X, Y, Z, T, U, W, V0, V1 ), s_e( X
% 1.64/2.02 , Z, U, V0 ) }.
% 1.64/2.02 (7786) {G0,W14,D2,L2,V8,M2} { ! s_ifs( X, Y, Z, T, U, W, V0, V1 ), s_e( Y
% 1.64/2.02 , Z, W, V0 ) }.
% 1.64/2.02 (7787) {G0,W14,D2,L2,V8,M2} { ! s_ifs( X, Y, Z, T, U, W, V0, V1 ), s_e( X
% 1.64/2.02 , T, U, V1 ) }.
% 1.64/2.02 (7788) {G0,W14,D2,L2,V8,M2} { ! s_ifs( X, Y, Z, T, U, W, V0, V1 ), s_e( Z
% 1.64/2.02 , T, V0, V1 ) }.
% 1.64/2.02 (7789) {G0,W37,D2,L7,V8,M7} { ! s_t( X, Y, Z ), ! s_t( U, W, V0 ), ! s_e(
% 1.64/2.02 X, Z, U, V0 ), ! s_e( Y, Z, W, V0 ), ! s_e( X, T, U, V1 ), ! s_e( Z, T,
% 1.64/2.02 V0, V1 ), s_ifs( X, Y, Z, T, U, W, V0, V1 ) }.
% 1.64/2.02 (7790) {G0,W12,D2,L2,V6,M2} { ! s_e3( X, Y, Z, T, U, W ), s_e( X, Y, T, U
% 1.64/2.02 ) }.
% 1.64/2.02 (7791) {G0,W12,D2,L2,V6,M2} { ! s_e3( X, Y, Z, T, U, W ), s_e( X, Z, T, W
% 1.64/2.02 ) }.
% 1.64/2.02 (7792) {G0,W12,D2,L2,V6,M2} { ! s_e3( X, Y, Z, T, U, W ), s_e( Y, Z, U, W
% 1.64/2.02 ) }.
% 1.64/2.02 (7793) {G0,W22,D2,L4,V6,M4} { ! s_e( X, Y, T, U ), ! s_e( X, Z, T, W ), !
% 1.64/2.02 s_e( Y, Z, U, W ), s_e3( X, Y, Z, T, U, W ) }.
% 1.64/2.02 (7794) {G0,W16,D2,L4,V3,M4} { ! s_col( X, Y, Z ), s_t( X, Y, Z ), s_t( Y,
% 1.64/2.02 Z, X ), s_t( Z, X, Y ) }.
% 1.64/2.02 (7795) {G0,W8,D2,L2,V3,M2} { s_col( X, Y, Z ), ! s_t( X, Y, Z ) }.
% 1.64/2.02 (7796) {G0,W8,D2,L2,V3,M2} { s_col( X, Y, Z ), ! s_t( Y, Z, X ) }.
% 1.64/2.02 (7797) {G0,W8,D2,L2,V3,M2} { s_col( X, Y, Z ), ! s_t( Z, X, Y ) }.
% 1.64/2.02 (7798) {G0,W13,D2,L2,V8,M2} { ! s_fs( X, Y, Z, T, U, W, V0, V1 ), s_col( X
% 1.64/2.02 , Y, Z ) }.
% 1.64/2.02 (7799) {G0,W16,D2,L2,V8,M2} { ! s_fs( X, Y, Z, T, U, W, V0, V1 ), s_e3( X
% 1.64/2.02 , Y, Z, U, W, V0 ) }.
% 1.64/2.02 (7800) {G0,W14,D2,L2,V8,M2} { ! s_fs( X, Y, Z, T, U, W, V0, V1 ), s_e( X,
% 1.64/2.02 T, U, V1 ) }.
% 1.64/2.02 (7801) {G0,W14,D2,L2,V8,M2} { ! s_fs( X, Y, Z, T, U, W, V0, V1 ), s_e( Y,
% 1.64/2.02 T, W, V1 ) }.
% 1.64/2.02 (7802) {G0,W30,D2,L5,V8,M5} { ! s_col( X, Y, Z ), ! s_e3( X, Y, Z, U, W,
% 1.64/2.02 V0 ), ! s_e( X, T, U, V1 ), ! s_e( Y, T, W, V1 ), s_fs( X, Y, Z, T, U, W
% 1.64/2.02 , V0, V1 ) }.
% 1.64/2.02 (7803) {G0,W13,D3,L2,V4,M2} { ! le( X, Y, Z, T ), s_t( Z, insert( X, Y, Z
% 1.64/2.02 , T ), T ) }.
% 1.64/2.02 (7804) {G0,W14,D3,L2,V4,M2} { ! le( X, Y, Z, T ), s_e( X, Y, Z, insert( X
% 1.64/2.02 , Y, Z, T ) ) }.
% 1.64/2.02 (7805) {G0,W14,D2,L3,V5,M3} { ! s_t( Z, U, T ), ! s_e( X, Y, Z, U ), le( X
% 1.64/2.02 , Y, Z, T ) }.
% 1.64/2.02 (7806) {G0,W7,D2,L2,V3,M2} { ! sameside( X, Y, Z ), ! X = Y }.
% 1.64/2.02 (7807) {G0,W7,D2,L2,V3,M2} { ! sameside( X, Y, Z ), ! Z = Y }.
% 1.64/2.02 (7808) {G0,W12,D2,L3,V3,M3} { ! sameside( X, Y, Z ), s_t( Y, X, Z ), s_t(
% 1.64/2.02 Y, Z, X ) }.
% 1.64/2.02 (7809) {G0,W14,D2,L4,V3,M4} { ! s_t( Y, X, Z ), X = Y, xb = Y, sameside( X
% 1.64/2.02 , Y, Z ) }.
% 1.64/2.02 (7810) {G0,W14,D2,L4,V3,M4} { ! s_t( Y, Z, X ), X = Y, Z = Y, sameside( X
% 1.64/2.02 , Y, Z ) }.
% 1.64/2.02 (7811) {G0,W8,D2,L2,V3,M2} { ! s_m( X, Y, Z ), s_t( X, Y, Z ) }.
% 1.64/2.02 (7812) {G0,W9,D2,L2,V3,M2} { ! s_m( X, Y, Z ), s_e( Y, X, Y, Z ) }.
% 1.64/2.02 (7813) {G0,W13,D2,L3,V3,M3} { ! s_t( X, Y, Z ), ! s_e( Y, X, Y, Z ), s_m(
% 1.64/2.02 X, Y, Z ) }.
% 1.64/2.02 (7814) {G0,W12,D2,L2,V7,M2} { ! s_kf( X, Y, Z, T, U, W, V0 ), s_t( X, T,
% 1.64/2.02 V0 ) }.
% 1.64/2.02 (7815) {G0,W12,D2,L2,V7,M2} { ! s_kf( X, Y, Z, T, U, W, V0 ), s_t( Z, T, U
% 1.64/2.02 ) }.
% 1.64/2.02 (7816) {G0,W13,D2,L2,V7,M2} { ! s_kf( X, Y, Z, T, U, W, V0 ), s_e( T, X, T
% 1.64/2.02 , Z ) }.
% 1.64/2.02 (7817) {G0,W13,D2,L2,V7,M2} { ! s_kf( X, Y, Z, T, U, W, V0 ), s_e( T, V0,
% 1.64/2.02 T, U ) }.
% 1.64/2.02 (7818) {G0,W12,D2,L2,V7,M2} { ! s_kf( X, Y, Z, T, U, W, V0 ), s_m( X, Y, Z
% 1.64/2.04 ) }.
% 1.64/2.04 (7819) {G0,W12,D2,L2,V7,M2} { ! s_kf( X, Y, Z, T, U, W, V0 ), s_m( V0, W,
% 1.64/2.04 U ) }.
% 1.64/2.04 (7820) {G0,W34,D2,L7,V7,M7} { ! s_t( X, T, V0 ), ! s_t( Z, T, U ), ! s_e(
% 1.64/2.04 T, X, T, Z ), ! s_e( T, V0, T, U ), ! s_m( X, Y, Z ), ! s_m( V0, W, U ),
% 1.64/2.04 s_kf( X, Y, Z, T, U, W, V0 ) }.
% 1.64/2.04
% 1.64/2.04
% 1.64/2.04 Total Proof:
% 1.64/2.04
% 1.64/2.04 subsumption: (106) {G0,W7,D4,L1,V2,M1} I { s( X, s( X, Y ) ) ==> Y }.
% 1.64/2.04 parent0: (7771) {G0,W7,D4,L1,V2,M1} { s( X, s( X, Y ) ) = Y }.
% 1.64/2.04 substitution0:
% 1.64/2.04 X := X
% 1.64/2.04 Y := Y
% 1.64/2.04 end
% 1.64/2.04 permutation0:
% 1.64/2.04 0 ==> 0
% 1.64/2.04 end
% 1.64/2.04
% 1.64/2.04 subsumption: (107) {G0,W5,D3,L1,V0,M1} I { s( skol1, skol2 ) ==> skol3 }.
% 1.64/2.04 parent0: (7772) {G0,W5,D3,L1,V0,M1} { s( skol1, skol2 ) = skol3 }.
% 1.64/2.04 substitution0:
% 1.64/2.04 end
% 1.64/2.04 permutation0:
% 1.64/2.04 0 ==> 0
% 1.64/2.04 end
% 1.64/2.04
% 1.64/2.04 *** allocated 256285 integers for termspace/termends
% 1.64/2.04 subsumption: (108) {G0,W5,D3,L1,V0,M1} I { s( skol1, skol4 ) ==> skol3 }.
% 1.64/2.04 parent0: (7773) {G0,W5,D3,L1,V0,M1} { s( skol1, skol4 ) = skol3 }.
% 1.64/2.04 substitution0:
% 1.64/2.04 end
% 1.64/2.04 permutation0:
% 1.64/2.04 0 ==> 0
% 1.64/2.04 end
% 1.64/2.04
% 1.64/2.04 eqswap: (9666) {G0,W3,D2,L1,V0,M1} { ! skol4 = skol2 }.
% 1.64/2.04 parent0[0]: (7774) {G0,W3,D2,L1,V0,M1} { ! skol2 = skol4 }.
% 1.64/2.04 substitution0:
% 1.64/2.04 end
% 1.64/2.04
% 1.64/2.04 subsumption: (109) {G0,W3,D2,L1,V0,M1} I { ! skol4 ==> skol2 }.
% 1.64/2.04 parent0: (9666) {G0,W3,D2,L1,V0,M1} { ! skol4 = skol2 }.
% 1.64/2.04 substitution0:
% 1.64/2.04 end
% 1.64/2.04 permutation0:
% 1.64/2.04 0 ==> 0
% 1.64/2.04 end
% 1.64/2.04
% 1.64/2.04 eqswap: (9668) {G0,W7,D4,L1,V2,M1} { Y ==> s( X, s( X, Y ) ) }.
% 1.64/2.04 parent0[0]: (106) {G0,W7,D4,L1,V2,M1} I { s( X, s( X, Y ) ) ==> Y }.
% 1.64/2.04 substitution0:
% 1.64/2.04 X := X
% 1.64/2.04 Y := Y
% 1.64/2.04 end
% 1.64/2.04
% 1.64/2.04 paramod: (9669) {G1,W5,D3,L1,V0,M1} { skol2 ==> s( skol1, skol3 ) }.
% 1.64/2.04 parent0[0]: (107) {G0,W5,D3,L1,V0,M1} I { s( skol1, skol2 ) ==> skol3 }.
% 1.64/2.04 parent1[0; 4]: (9668) {G0,W7,D4,L1,V2,M1} { Y ==> s( X, s( X, Y ) ) }.
% 1.64/2.04 substitution0:
% 1.64/2.04 end
% 1.64/2.04 substitution1:
% 1.64/2.04 X := skol1
% 1.64/2.04 Y := skol2
% 1.64/2.04 end
% 1.64/2.04
% 1.64/2.04 eqswap: (9670) {G1,W5,D3,L1,V0,M1} { s( skol1, skol3 ) ==> skol2 }.
% 1.64/2.04 parent0[0]: (9669) {G1,W5,D3,L1,V0,M1} { skol2 ==> s( skol1, skol3 ) }.
% 1.64/2.04 substitution0:
% 1.64/2.04 end
% 1.64/2.04
% 1.64/2.04 subsumption: (7651) {G1,W5,D3,L1,V0,M1} P(107,106) { s( skol1, skol3 ) ==>
% 1.64/2.04 skol2 }.
% 1.64/2.04 parent0: (9670) {G1,W5,D3,L1,V0,M1} { s( skol1, skol3 ) ==> skol2 }.
% 1.64/2.05 substitution0:
% 1.64/2.05 end
% 1.64/2.05 permutation0:
% 1.64/2.05 0 ==> 0
% 1.64/2.05 end
% 1.64/2.05
% 1.64/2.05 eqswap: (9672) {G0,W7,D4,L1,V2,M1} { Y ==> s( X, s( X, Y ) ) }.
% 1.64/2.05 parent0[0]: (106) {G0,W7,D4,L1,V2,M1} I { s( X, s( X, Y ) ) ==> Y }.
% 1.64/2.05 substitution0:
% 1.64/2.05 X := X
% 1.64/2.05 Y := Y
% 1.64/2.05 end
% 1.64/2.05
% 1.64/2.05 paramod: (9674) {G1,W5,D3,L1,V0,M1} { skol4 ==> s( skol1, skol3 ) }.
% 1.64/2.05 parent0[0]: (108) {G0,W5,D3,L1,V0,M1} I { s( skol1, skol4 ) ==> skol3 }.
% 1.64/2.05 parent1[0; 4]: (9672) {G0,W7,D4,L1,V2,M1} { Y ==> s( X, s( X, Y ) ) }.
% 1.64/2.05 substitution0:
% 1.64/2.05 end
% 1.64/2.05 substitution1:
% 1.64/2.05 X := skol1
% 1.64/2.05 Y := skol4
% 1.64/2.05 end
% 1.64/2.05
% 1.64/2.05 paramod: (9675) {G2,W3,D2,L1,V0,M1} { skol4 ==> skol2 }.
% 1.64/2.05 parent0[0]: (7651) {G1,W5,D3,L1,V0,M1} P(107,106) { s( skol1, skol3 ) ==>
% 1.64/2.05 skol2 }.
% 1.64/2.05 parent1[0; 2]: (9674) {G1,W5,D3,L1,V0,M1} { skol4 ==> s( skol1, skol3 )
% 1.64/2.05 }.
% 1.64/2.05 substitution0:
% 1.64/2.05 end
% 1.64/2.05 substitution1:
% 1.64/2.05 end
% 1.64/2.05
% 1.64/2.05 subsumption: (7652) {G2,W3,D2,L1,V0,M1} P(108,106);d(7651) { skol4 ==>
% 1.64/2.05 skol2 }.
% 1.64/2.05 parent0: (9675) {G2,W3,D2,L1,V0,M1} { skol4 ==> skol2 }.
% 1.64/2.05 substitution0:
% 1.64/2.05 end
% 1.64/2.05 permutation0:
% 1.64/2.05 0 ==> 0
% 1.64/2.05 end
% 1.64/2.05
% 1.64/2.05 resolution: (9679) {G1,W0,D0,L0,V0,M0} { }.
% 1.64/2.05 parent0[0]: (109) {G0,W3,D2,L1,V0,M1} I { ! skol4 ==> skol2 }.
% 1.64/2.05 parent1[0]: (7652) {G2,W3,D2,L1,V0,M1} P(108,106);d(7651) { skol4 ==> skol2
% 1.64/2.05 }.
% 1.64/2.05 substitution0:
% 1.64/2.05 end
% 1.64/2.05 substitution1:
% 1.64/2.05 end
% 1.64/2.05
% 1.64/2.05 subsumption: (7657) {G3,W0,D0,L0,V0,M0} S(7652);r(109) { }.
% 1.64/2.05 parent0: (9679) {G1,W0,D0,L0,V0,M0} { }.
% 1.64/2.05 substitution0:
% 1.64/2.05 end
% 1.64/2.05 permutation0:
% 1.64/2.05 end
% 1.64/2.05
% 1.64/2.05 Proof check complete!
% 1.64/2.05
% 1.64/2.05 Memory use:
% 1.64/2.05
% 1.64/2.05 space for terms: 148506
% 1.64/2.05 space for clauses: 332139
% 1.64/2.05
% 1.64/2.05
% 1.64/2.05 clauses generated: 41328
% 1.64/2.05 clauses kept: 7658
% 1.64/2.05 clauses selected: 277
% 1.64/2.05 clauses deleted: 13
% 1.64/2.05 clauses inuse deleted: 0
% 1.64/2.05
% 1.64/2.05 subsentry: 615033
% 1.64/2.05 literals s-matched: 429331
% 1.64/2.05 literals matched: 413763
% 1.64/2.05 full subsumption: 381081
% 1.64/2.05
% 1.64/2.05 checksum: 1107282520
% 1.64/2.05
% 1.64/2.05
% 1.64/2.05 Bliksem ended
%------------------------------------------------------------------------------