TSTP Solution File: GEO118-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO118-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.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 02:51:47 EDT 2022
% Result : Unsatisfiable 1.16s 1.53s
% Output : Refutation 1.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO118-1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.14 % Command : bliksem %s
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Fri Jun 17 17:46:42 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.46/1.12 *** allocated 10000 integers for termspace/termends
% 0.46/1.12 *** allocated 10000 integers for clauses
% 0.46/1.12 *** allocated 10000 integers for justifications
% 0.46/1.12 Bliksem 1.12
% 0.46/1.12
% 0.46/1.12
% 0.46/1.12 Automatic Strategy Selection
% 0.46/1.12
% 0.46/1.12 Clauses:
% 0.46/1.12 [
% 0.46/1.12 [ ~( 'part_of'( X, Y ) ), ~( 'incident_c'( Z, X ) ), 'incident_c'( Z, Y
% 0.46/1.12 ) ],
% 0.46/1.12 [ 'incident_c'( 'ax0_sk1'( X, Y ), X ), 'part_of'( X, Y ) ],
% 0.46/1.12 [ ~( 'incident_c'( 'ax0_sk1'( X, Y ), Y ) ), 'part_of'( X, Y ) ],
% 0.46/1.12 [ ~( =( X, sum( Y, Z ) ) ), ~( 'incident_c'( T, X ) ), 'incident_c'( T,
% 0.46/1.12 Y ), 'incident_c'( T, Z ) ],
% 0.46/1.12 [ ~( =( X, sum( Y, Z ) ) ), ~( 'incident_c'( T, Y ) ), 'incident_c'( T,
% 0.46/1.12 X ) ],
% 0.46/1.12 [ ~( =( X, sum( Y, Z ) ) ), ~( 'incident_c'( T, Z ) ), 'incident_c'( T,
% 0.46/1.12 X ) ],
% 0.46/1.12 [ 'incident_c'( 'ax0_sk2'( X, Y, Z ), Z ), 'incident_c'( 'ax0_sk2'( X, Y
% 0.46/1.12 , Z ), Y ), 'incident_c'( 'ax0_sk2'( X, Y, Z ), X ), =( Z, sum( Y, X ) )
% 0.46/1.12 ],
% 0.46/1.12 [ 'incident_c'( 'ax0_sk2'( X, Y, Z ), Z ), ~( 'incident_c'( 'ax0_sk2'( X
% 0.46/1.12 , Y, Z ), Z ) ), =( Z, sum( Y, X ) ) ],
% 0.46/1.12 [ ~( 'incident_c'( 'ax0_sk2'( X, Y, Z ), Y ) ), 'incident_c'( 'ax0_sk2'(
% 0.46/1.12 X, Y, Z ), Y ), 'incident_c'( 'ax0_sk2'( X, Y, Z ), X ), =( Z, sum( Y, X
% 0.46/1.12 ) ) ],
% 0.46/1.12 [ ~( 'incident_c'( 'ax0_sk2'( X, Y, Z ), X ) ), 'incident_c'( 'ax0_sk2'(
% 0.46/1.12 X, Y, Z ), Y ), 'incident_c'( 'ax0_sk2'( X, Y, Z ), X ), =( Z, sum( Y, X
% 0.46/1.12 ) ) ],
% 0.46/1.12 [ ~( 'incident_c'( 'ax0_sk2'( X, Y, Z ), Y ) ), ~( 'incident_c'(
% 0.46/1.12 'ax0_sk2'( X, Y, Z ), Z ) ), =( Z, sum( Y, X ) ) ],
% 0.46/1.12 [ ~( 'incident_c'( 'ax0_sk2'( X, Y, Z ), X ) ), ~( 'incident_c'(
% 0.46/1.12 'ax0_sk2'( X, Y, Z ), Z ) ), =( Z, sum( Y, X ) ) ],
% 0.46/1.12 [ ~( 'end_point'( X, Y ) ), 'incident_c'( X, Y ) ],
% 0.46/1.12 [ ~( 'end_point'( X, Y ) ), ~( 'part_of'( Z, Y ) ), ~( 'part_of'( T, Y )
% 0.46/1.12 ), ~( 'incident_c'( X, Z ) ), ~( 'incident_c'( X, T ) ), 'part_of'( Z, T
% 0.46/1.12 ), 'part_of'( T, Z ) ],
% 0.46/1.12 [ ~( 'incident_c'( X, Y ) ), 'part_of'( 'ax0_sk3'( Y, X ), Y ),
% 0.46/1.12 'end_point'( X, Y ) ],
% 0.46/1.12 [ ~( 'incident_c'( X, Y ) ), 'part_of'( 'ax0_sk4'( Y, X ), Y ),
% 0.46/1.12 'end_point'( X, Y ) ],
% 0.46/1.12 [ ~( 'incident_c'( X, Y ) ), 'incident_c'( X, 'ax0_sk3'( Y, X ) ),
% 0.46/1.12 'end_point'( X, Y ) ],
% 0.46/1.12 [ ~( 'incident_c'( X, Y ) ), 'incident_c'( X, 'ax0_sk4'( Y, X ) ),
% 0.46/1.12 'end_point'( X, Y ) ],
% 0.46/1.12 [ ~( 'incident_c'( X, Y ) ), ~( 'part_of'( 'ax0_sk3'( Y, X ), 'ax0_sk4'(
% 0.46/1.12 Y, X ) ) ), 'end_point'( X, Y ) ],
% 0.46/1.12 [ ~( 'incident_c'( X, Y ) ), ~( 'part_of'( 'ax0_sk4'( Y, X ), 'ax0_sk3'(
% 0.46/1.12 Y, X ) ) ), 'end_point'( X, Y ) ],
% 0.46/1.12 [ ~( 'inner_point'( X, Y ) ), 'incident_c'( X, Y ) ],
% 0.46/1.12 [ ~( 'inner_point'( X, Y ) ), ~( 'end_point'( X, Y ) ) ],
% 0.46/1.12 [ ~( 'incident_c'( X, Y ) ), 'end_point'( X, Y ), 'inner_point'( X, Y )
% 0.46/1.12 ],
% 0.46/1.12 [ ~( meet( X, Y, Z ) ), 'incident_c'( X, Y ) ],
% 0.46/1.12 [ ~( meet( X, Y, Z ) ), 'incident_c'( X, Z ) ],
% 0.46/1.12 [ ~( meet( X, Y, Z ) ), ~( 'incident_c'( T, Y ) ), ~( 'incident_c'( T, Z
% 0.46/1.12 ) ), 'end_point'( T, Y ) ],
% 0.46/1.12 [ ~( meet( X, Y, Z ) ), ~( 'incident_c'( T, Y ) ), ~( 'incident_c'( T, Z
% 0.46/1.12 ) ), 'end_point'( T, Z ) ],
% 0.46/1.12 [ ~( 'incident_c'( X, Y ) ), ~( 'incident_c'( X, Z ) ), 'incident_c'(
% 0.46/1.12 'ax0_sk5'( Z, Y, X ), Y ), meet( X, Y, Z ) ],
% 0.46/1.12 [ ~( 'incident_c'( X, Y ) ), ~( 'incident_c'( X, Z ) ), 'incident_c'(
% 0.46/1.12 'ax0_sk5'( Z, Y, X ), Z ), meet( X, Y, Z ) ],
% 0.46/1.12 [ ~( 'incident_c'( X, Y ) ), ~( 'incident_c'( X, Z ) ), ~( 'end_point'(
% 0.46/1.12 'ax0_sk5'( Z, Y, X ), Y ) ), ~( 'end_point'( 'ax0_sk5'( Z, Y, X ), Z ) )
% 0.46/1.12 , meet( X, Y, Z ) ],
% 0.46/1.12 [ ~( closed( X ) ), ~( 'end_point'( Y, X ) ) ],
% 0.46/1.12 [ 'end_point'( 'ax0_sk6'( X ), X ), closed( X ) ],
% 0.46/1.12 [ ~( open( X ) ), 'end_point'( 'ax0_sk7'( X ), X ) ],
% 0.46/1.12 [ ~( 'end_point'( X, Y ) ), open( Y ) ],
% 0.46/1.12 [ ~( 'part_of'( X, Y ) ), =( X, Y ), open( X ) ],
% 0.46/1.12 [ ~( 'part_of'( X, Y ) ), ~( 'part_of'( Z, Y ) ), ~( 'part_of'( T, Y ) )
% 0.46/1.12 , ~( 'end_point'( U, X ) ), ~( 'end_point'( U, Z ) ), ~( 'end_point'( U,
% 0.46/1.12 T ) ), 'part_of'( Z, T ), 'part_of'( T, Z ), 'part_of'( X, Z ), 'part_of'(
% 0.46/1.12 Z, X ), 'part_of'( X, T ), 'part_of'( T, X ) ],
% 0.46/1.12 [ 'inner_point'( 'ax0_sk8'( X ), X ) ],
% 0.46/1.12 [ ~( 'inner_point'( X, Y ) ), meet( X, 'ax0_sk9'( X, Y ), 'ax0_sk10'( X
% 0.46/1.12 , Y ) ) ],
% 0.46/1.12 [ ~( 'inner_point'( X, Y ) ), =( Y, sum( 'ax0_sk9'( X, Y ), 'ax0_sk10'(
% 0.46/1.12 X, Y ) ) ) ],
% 0.46/1.12 [ ~( 'end_point'( X, Y ) ), ~( 'end_point'( Z, Y ) ), ~( 'end_point'( T
% 0.46/1.12 , Y ) ), =( X, Z ), =( X, T ), =( Z, T ) ],
% 0.46/1.12 [ ~( 'end_point'( X, Y ) ), 'end_point'( 'ax0_sk11'( X, Y ), Y ) ],
% 0.46/1.12 [ ~( 'end_point'( X, Y ) ), ~( =( X, 'ax0_sk11'( X, Y ) ) ) ],
% 0.46/1.12 [ ~( closed( X ) ), ~( meet( Y, Z, T ) ), ~( =( X, sum( Z, T ) ) ), ~(
% 0.46/1.12 'end_point'( U, Z ) ), meet( U, Z, T ) ],
% 0.46/1.12 [ ~( meet( X, Y, Z ) ), =( 'ax0_sk12'( Z, Y ), sum( Y, Z ) ) ],
% 0.46/1.12 [ 'incident_c'( 'ax0_sk13'( X, Y ), Y ), 'incident_c'( 'ax0_sk13'( X, Y
% 0.46/1.12 ), X ), =( Y, X ) ],
% 0.46/1.12 [ 'incident_c'( 'ax0_sk13'( X, Y ), Y ), ~( 'incident_c'( 'ax0_sk13'( X
% 0.46/1.12 , Y ), Y ) ), =( Y, X ) ],
% 0.46/1.12 [ ~( 'incident_c'( 'ax0_sk13'( X, Y ), X ) ), 'incident_c'( 'ax0_sk13'(
% 0.46/1.12 X, Y ), X ), =( Y, X ) ],
% 0.46/1.12 [ ~( 'incident_c'( 'ax0_sk13'( X, Y ), X ) ), ~( 'incident_c'(
% 0.46/1.12 'ax0_sk13'( X, Y ), Y ) ), =( Y, X ) ],
% 0.46/1.12 [ ~( 'between_c'( X, Y, Z, T ) ), ~( =( Y, T ) ) ],
% 0.46/1.12 [ ~( 'between_c'( X, Y, Z, T ) ), 'part_of'( 'ax1_sk1'( T, Z, Y, X ), X
% 0.46/1.12 ) ],
% 0.46/1.12 [ ~( 'between_c'( X, Y, Z, T ) ), 'end_point'( Y, 'ax1_sk1'( T, Z, Y, X
% 0.46/1.12 ) ) ],
% 0.46/1.12 [ ~( 'between_c'( X, Y, Z, T ) ), 'end_point'( T, 'ax1_sk1'( T, Z, Y, X
% 0.46/1.12 ) ) ],
% 0.46/1.12 [ ~( 'between_c'( X, Y, Z, T ) ), 'inner_point'( Z, 'ax1_sk1'( T, Z, Y,
% 0.46/1.12 X ) ) ],
% 0.46/1.12 [ =( X, Y ), ~( 'part_of'( Z, T ) ), ~( 'end_point'( X, Z ) ), ~(
% 0.46/1.12 'end_point'( Y, Z ) ), ~( 'inner_point'( U, Z ) ), 'between_c'( T, X, U,
% 0.46/1.12 Y ) ],
% 0.46/1.12 [ ~( 'between_o'( X, Y, Z, T ) ), 'ordered_by'( X, Y, Z ), 'ordered_by'(
% 0.46/1.12 X, T, Z ) ],
% 0.46/1.12 [ ~( 'between_o'( X, Y, Z, T ) ), 'ordered_by'( X, Y, Z ), 'ordered_by'(
% 0.46/1.12 X, Z, Y ) ],
% 0.46/1.12 [ ~( 'between_o'( X, Y, Z, T ) ), 'ordered_by'( X, Z, T ), 'ordered_by'(
% 0.46/1.12 X, T, Z ) ],
% 0.46/1.12 [ ~( 'between_o'( X, Y, Z, T ) ), 'ordered_by'( X, Z, T ), 'ordered_by'(
% 0.46/1.12 X, Z, Y ) ],
% 0.46/1.12 [ ~( 'ordered_by'( X, Y, Z ) ), ~( 'ordered_by'( X, Z, T ) ),
% 0.46/1.12 'between_o'( X, Y, Z, T ) ],
% 0.46/1.12 [ ~( 'ordered_by'( X, Y, Z ) ), ~( 'ordered_by'( X, Z, T ) ),
% 0.46/1.12 'between_o'( X, T, Z, Y ) ],
% 0.46/1.12 [ ~( 'start_point'( X, Y ) ), 'incident_o'( X, Y ) ],
% 0.46/1.12 [ ~( 'start_point'( X, Y ) ), =( X, Z ), ~( 'incident_o'( Z, Y ) ),
% 0.46/1.12 'ordered_by'( Y, X, Z ) ],
% 0.46/1.12 [ ~( 'incident_o'( X, Y ) ), ~( =( X, 'ax2_sk1'( Y, X ) ) ),
% 0.46/1.12 'start_point'( X, Y ) ],
% 0.46/1.12 [ ~( 'incident_o'( X, Y ) ), 'incident_o'( 'ax2_sk1'( Y, X ), Y ),
% 0.46/1.12 'start_point'( X, Y ) ],
% 0.46/1.12 [ ~( 'incident_o'( X, Y ) ), ~( 'ordered_by'( Y, X, 'ax2_sk1'( Y, X ) )
% 0.46/1.12 ), 'start_point'( X, Y ) ],
% 0.46/1.12 [ ~( 'finish_point'( X, Y ) ), 'incident_o'( X, Y ) ],
% 0.46/1.12 [ ~( 'finish_point'( X, Y ) ), =( X, Z ), ~( 'incident_o'( Z, Y ) ),
% 0.46/1.12 'ordered_by'( Y, Z, X ) ],
% 0.46/1.12 [ ~( 'incident_o'( X, Y ) ), ~( =( X, 'ax2_sk2'( Y, X ) ) ),
% 0.46/1.12 'finish_point'( X, Y ) ],
% 0.46/1.12 [ ~( 'incident_o'( X, Y ) ), 'incident_o'( 'ax2_sk2'( Y, X ), Y ),
% 0.46/1.12 'finish_point'( X, Y ) ],
% 0.46/1.12 [ ~( 'incident_o'( X, Y ) ), ~( 'ordered_by'( Y, 'ax2_sk2'( Y, X ), X )
% 0.46/1.12 ), 'finish_point'( X, Y ) ],
% 0.46/1.12 [ ~( 'ordered_by'( X, Y, Z ) ), 'incident_o'( Y, X ) ],
% 0.46/1.12 [ ~( 'ordered_by'( X, Y, Z ) ), 'incident_o'( Z, X ) ],
% 0.46/1.12 [ open( 'ax2_sk3'( X ) ) ],
% 0.46/1.12 [ ~( 'incident_o'( X, Y ) ), 'incident_c'( X, 'ax2_sk3'( Y ) ) ],
% 0.46/1.12 [ ~( 'incident_c'( X, 'ax2_sk3'( Y ) ) ), 'incident_o'( X, Y ) ],
% 0.46/1.12 [ ~( 'between_o'( X, Y, Z, T ) ), ~( 'incident_o'( U, X ) ),
% 0.46/1.12 'incident_c'( U, 'ax2_sk4'( X, T, Z, Y ) ) ],
% 0.46/1.12 [ ~( 'between_o'( X, Y, Z, T ) ), ~( 'incident_c'( U, 'ax2_sk4'( X, T, Z
% 0.46/1.12 , Y ) ) ), 'incident_o'( U, X ) ],
% 0.46/1.12 [ ~( 'between_o'( X, Y, Z, T ) ), 'between_c'( 'ax2_sk4'( X, T, Z, Y ),
% 0.46/1.12 Y, Z, T ) ],
% 0.46/1.12 [ 'incident_o'( 'ax2_sk5'( X, Y, Z, T, U ), Y ), 'incident_c'( 'ax2_sk5'(
% 0.46/1.12 X, Y, Z, T, U ), X ), ~( 'between_c'( X, U, T, Z ) ), 'between_o'( Y, U,
% 0.46/1.12 T, Z ) ],
% 0.46/1.12 [ 'incident_o'( 'ax2_sk5'( X, Y, Z, T, U ), Y ), ~( 'incident_o'(
% 0.46/1.12 'ax2_sk5'( X, Y, Z, T, U ), Y ) ), ~( 'between_c'( X, U, T, Z ) ),
% 0.46/1.12 'between_o'( Y, U, T, Z ) ],
% 0.46/1.12 [ ~( 'incident_c'( 'ax2_sk5'( X, Y, Z, T, U ), X ) ), 'incident_c'(
% 0.46/1.12 'ax2_sk5'( X, Y, Z, T, U ), X ), ~( 'between_c'( X, U, T, Z ) ),
% 0.46/1.12 'between_o'( Y, U, T, Z ) ],
% 0.46/1.12 [ ~( 'incident_c'( 'ax2_sk5'( X, Y, Z, T, U ), X ) ), ~( 'incident_o'(
% 0.46/1.12 'ax2_sk5'( X, Y, Z, T, U ), Y ) ), ~( 'between_c'( X, U, T, Z ) ),
% 1.16/1.53 'between_o'( Y, U, T, Z ) ],
% 1.16/1.53 [ 'start_point'( 'ax2_sk6'( X ), X ) ],
% 1.16/1.53 [ ~( open( X ) ), =( Y, Z ), ~( 'incident_c'( Y, X ) ), ~( 'incident_c'(
% 1.16/1.53 Z, X ) ), ~( 'incident_o'( T, 'ax2_sk7'( X, Z, Y ) ) ), 'incident_c'( T,
% 1.16/1.53 X ) ],
% 1.16/1.53 [ ~( open( X ) ), =( Y, Z ), ~( 'incident_c'( Y, X ) ), ~( 'incident_c'(
% 1.16/1.53 Z, X ) ), ~( 'incident_c'( T, X ) ), 'incident_o'( T, 'ax2_sk7'( X, Z, Y
% 1.16/1.53 ) ) ],
% 1.16/1.53 [ ~( open( X ) ), =( Y, Z ), ~( 'incident_c'( Y, X ) ), ~( 'incident_c'(
% 1.16/1.53 Z, X ) ), 'ordered_by'( 'ax2_sk7'( X, Z, Y ), Y, Z ) ],
% 1.16/1.53 [ 'ordered_by'( X, 'ax2_sk8'( Y, X ), 'ax2_sk9'( Y, X ) ), 'ordered_by'(
% 1.16/1.53 Y, 'ax2_sk8'( Y, X ), 'ax2_sk9'( Y, X ) ), =( X, Y ) ],
% 1.16/1.53 [ 'ordered_by'( X, 'ax2_sk8'( Y, X ), 'ax2_sk9'( Y, X ) ), ~(
% 1.16/1.53 'ordered_by'( X, 'ax2_sk8'( Y, X ), 'ax2_sk9'( Y, X ) ) ), =( X, Y ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ ~( 'ordered_by'( X, 'ax2_sk8'( X, Y ), 'ax2_sk9'( X, Y ) ) ),
% 1.16/1.53 'ordered_by'( X, 'ax2_sk8'( X, Y ), 'ax2_sk9'( X, Y ) ), =( Y, X ) ],
% 1.16/1.53 [ ~( 'ordered_by'( X, 'ax2_sk8'( X, Y ), 'ax2_sk9'( X, Y ) ) ), ~(
% 1.16/1.53 'ordered_by'( Y, 'ax2_sk8'( X, Y ), 'ax2_sk9'( X, Y ) ) ), =( Y, X ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ ~( =( X, 'underlying_curve'( Y ) ) ), ~( 'incident_o'( Z, Y ) ),
% 1.16/1.53 'incident_c'( Z, X ) ],
% 1.16/1.53 [ ~( =( X, 'underlying_curve'( Y ) ) ), ~( 'incident_c'( Z, X ) ),
% 1.16/1.53 'incident_o'( Z, Y ) ],
% 1.16/1.53 [ 'incident_o'( 'ax2_sk10'( X, Y ), X ), 'incident_c'( 'ax2_sk10'( X, Y
% 1.16/1.53 ), Y ), =( Y, 'underlying_curve'( X ) ) ],
% 1.16/1.53 [ 'incident_o'( 'ax2_sk10'( X, Y ), X ), ~( 'incident_o'( 'ax2_sk10'( X
% 1.16/1.53 , Y ), X ) ), =( Y, 'underlying_curve'( X ) ) ],
% 1.16/1.53 [ ~( 'incident_c'( 'ax2_sk10'( X, Y ), Y ) ), 'incident_c'( 'ax2_sk10'(
% 1.16/1.53 X, Y ), Y ), =( Y, 'underlying_curve'( X ) ) ],
% 1.16/1.53 [ ~( 'incident_c'( 'ax2_sk10'( X, Y ), Y ) ), ~( 'incident_o'(
% 1.16/1.53 'ax2_sk10'( X, Y ), X ) ), =( Y, 'underlying_curve'( X ) ) ],
% 1.16/1.53 [ 'ordered_by'( sk25, sk26, sk27 ) ],
% 1.16/1.53 [ 'ordered_by'( sk25, sk27, sk26 ) ]
% 1.16/1.53 ] .
% 1.16/1.53
% 1.16/1.53
% 1.16/1.53 percentage equality = 0.117424, percentage horn = 0.643678
% 1.16/1.53 This is a problem with some equality
% 1.16/1.53
% 1.16/1.53
% 1.16/1.53
% 1.16/1.53 Options Used:
% 1.16/1.53
% 1.16/1.53 useres = 1
% 1.16/1.53 useparamod = 1
% 1.16/1.53 useeqrefl = 1
% 1.16/1.53 useeqfact = 1
% 1.16/1.53 usefactor = 1
% 1.16/1.53 usesimpsplitting = 0
% 1.16/1.53 usesimpdemod = 5
% 1.16/1.53 usesimpres = 3
% 1.16/1.53
% 1.16/1.53 resimpinuse = 1000
% 1.16/1.53 resimpclauses = 20000
% 1.16/1.53 substype = eqrewr
% 1.16/1.53 backwardsubs = 1
% 1.16/1.53 selectoldest = 5
% 1.16/1.53
% 1.16/1.53 litorderings [0] = split
% 1.16/1.53 litorderings [1] = extend the termordering, first sorting on arguments
% 1.16/1.53
% 1.16/1.53 termordering = kbo
% 1.16/1.53
% 1.16/1.53 litapriori = 0
% 1.16/1.53 termapriori = 1
% 1.16/1.53 litaposteriori = 0
% 1.16/1.53 termaposteriori = 0
% 1.16/1.53 demodaposteriori = 0
% 1.16/1.53 ordereqreflfact = 0
% 1.16/1.53
% 1.16/1.53 litselect = negord
% 1.16/1.53
% 1.16/1.53 maxweight = 15
% 1.16/1.53 maxdepth = 30000
% 1.16/1.53 maxlength = 115
% 1.16/1.53 maxnrvars = 195
% 1.16/1.53 excuselevel = 1
% 1.16/1.53 increasemaxweight = 1
% 1.16/1.53
% 1.16/1.53 maxselected = 10000000
% 1.16/1.53 maxnrclauses = 10000000
% 1.16/1.53
% 1.16/1.53 showgenerated = 0
% 1.16/1.53 showkept = 0
% 1.16/1.53 showselected = 0
% 1.16/1.53 showdeleted = 0
% 1.16/1.53 showresimp = 1
% 1.16/1.53 showstatus = 2000
% 1.16/1.53
% 1.16/1.53 prologoutput = 1
% 1.16/1.53 nrgoals = 5000000
% 1.16/1.53 totalproof = 1
% 1.16/1.53
% 1.16/1.53 Symbols occurring in the translation:
% 1.16/1.53
% 1.16/1.53 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.16/1.53 . [1, 2] (w:1, o:30, a:1, s:1, b:0),
% 1.16/1.53 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 1.16/1.53 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.16/1.53 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.16/1.53 'part_of' [41, 2] (w:1, o:55, a:1, s:1, b:0),
% 1.16/1.53 'incident_c' [43, 2] (w:1, o:56, a:1, s:1, b:0),
% 1.16/1.53 'ax0_sk1' [44, 2] (w:1, o:57, a:1, s:1, b:0),
% 1.16/1.53 sum [45, 2] (w:1, o:59, a:1, s:1, b:0),
% 1.16/1.53 'ax0_sk2' [47, 3] (w:1, o:76, a:1, s:1, b:0),
% 1.16/1.53 'end_point' [48, 2] (w:1, o:60, a:1, s:1, b:0),
% 1.16/1.53 'ax0_sk3' [49, 2] (w:1, o:61, a:1, s:1, b:0),
% 1.16/1.53 'ax0_sk4' [50, 2] (w:1, o:62, a:1, s:1, b:0),
% 1.16/1.53 'inner_point' [51, 2] (w:1, o:63, a:1, s:1, b:0),
% 1.16/1.53 meet [52, 3] (w:1, o:77, a:1, s:1, b:0),
% 1.16/1.53 'ax0_sk5' [53, 3] (w:1, o:78, a:1, s:1, b:0),
% 1.16/1.53 closed [54, 1] (w:1, o:22, a:1, s:1, b:0),
% 1.16/1.53 'ax0_sk6' [55, 1] (w:1, o:23, a:1, s:1, b:0),
% 1.16/1.53 open [56, 1] (w:1, o:24, a:1, s:1, b:0),
% 1.16/1.53 'ax0_sk7' [57, 1] (w:1, o:25, a:1, s:1, b:0),
% 1.16/1.53 'ax0_sk8' [59, 1] (w:1, o:26, a:1, s:1, b:0),
% 1.16/1.53 'ax0_sk9' [60, 2] (w:1, o:64, a:1, s:1, b:0),
% 1.16/1.53 'ax0_sk10' [61, 2] (w:1, o:65, a:1, s:1, b:0),
% 1.16/1.53 'ax0_sk11' [62, 2] (w:1, o:66, a:1, s:1, b:0),
% 1.16/1.53 'ax0_sk12' [63, 2] (w:1, o:67, a:1, s:1, b:0),
% 1.16/1.53 'ax0_sk13' [64, 2] (w:1, o:68, a:1, s:1, b:0),
% 1.16/1.53 'between_c' [65, 4] (w:1, o:83, a:1, s:1, b:0),
% 1.16/1.53 'ax1_sk1' [66, 4] (w:1, o:81, a:1, s:1, b:0),
% 1.16/1.53 'between_o' [67, 4] (w:1, o:84, a:1, s:1, b:0),
% 1.16/1.53 'ordered_by' [68, 3] (w:1, o:79, a:1, s:1, b:0),
% 1.16/1.53 'start_point' [69, 2] (w:1, o:58, a:1, s:1, b:0),
% 1.16/1.53 'incident_o' [70, 2] (w:1, o:69, a:1, s:1, b:0),
% 1.16/1.53 'ax2_sk1' [71, 2] (w:1, o:70, a:1, s:1, b:0),
% 1.16/1.53 'finish_point' [72, 2] (w:1, o:71, a:1, s:1, b:0),
% 1.16/1.53 'ax2_sk2' [73, 2] (w:1, o:73, a:1, s:1, b:0),
% 1.16/1.53 'ax2_sk3' [74, 1] (w:1, o:27, a:1, s:1, b:0),
% 1.16/1.53 'ax2_sk4' [75, 4] (w:1, o:82, a:1, s:1, b:0),
% 1.16/1.53 'ax2_sk5' [76, 5] (w:1, o:85, a:1, s:1, b:0),
% 1.16/1.53 'ax2_sk6' [77, 1] (w:1, o:28, a:1, s:1, b:0),
% 1.16/1.53 'ax2_sk7' [78, 3] (w:1, o:80, a:1, s:1, b:0),
% 1.16/1.53 'ax2_sk8' [79, 2] (w:1, o:74, a:1, s:1, b:0),
% 1.16/1.53 'ax2_sk9' [80, 2] (w:1, o:75, a:1, s:1, b:0),
% 1.16/1.53 'underlying_curve' [81, 1] (w:1, o:29, a:1, s:1, b:0),
% 1.16/1.53 'ax2_sk10' [82, 2] (w:1, o:72, a:1, s:1, b:0),
% 1.16/1.53 sk25 [83, 0] (w:1, o:5, a:1, s:1, b:0),
% 1.16/1.53 sk26 [84, 0] (w:1, o:6, a:1, s:1, b:0),
% 1.16/1.53 sk27 [85, 0] (w:1, o:7, a:1, s:1, b:0).
% 1.16/1.53
% 1.16/1.53
% 1.16/1.53 Starting Search:
% 1.16/1.53
% 1.16/1.53 Resimplifying inuse:
% 1.16/1.53 Done
% 1.16/1.53
% 1.16/1.53
% 1.16/1.53 Intermediate Status:
% 1.16/1.53 Generated: 5429
% 1.16/1.53 Kept: 2003
% 1.16/1.53 Inuse: 125
% 1.16/1.53 Deleted: 0
% 1.16/1.53 Deletedinuse: 0
% 1.16/1.53
% 1.16/1.53 Resimplifying inuse:
% 1.16/1.53 Done
% 1.16/1.53
% 1.16/1.53 Resimplifying inuse:
% 1.16/1.53 Done
% 1.16/1.53
% 1.16/1.53
% 1.16/1.53 Intermediate Status:
% 1.16/1.53 Generated: 17248
% 1.16/1.53 Kept: 4187
% 1.16/1.53 Inuse: 226
% 1.16/1.53 Deleted: 0
% 1.16/1.53 Deletedinuse: 0
% 1.16/1.53
% 1.16/1.53 Resimplifying inuse:
% 1.16/1.53 Done
% 1.16/1.53
% 1.16/1.53 Resimplifying inuse:
% 1.16/1.53 Done
% 1.16/1.53
% 1.16/1.53
% 1.16/1.53 Bliksems!, er is een bewijs:
% 1.16/1.53 % SZS status Unsatisfiable
% 1.16/1.53 % SZS output start Refutation
% 1.16/1.53
% 1.16/1.53 clause( 43, [ ~( 'between_c'( X, Y, Z, T ) ), ~( =( Y, T ) ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 54, [ ~( 'ordered_by'( X, Y, Z ) ), ~( 'ordered_by'( X, Z, T ) ),
% 1.16/1.53 'between_o'( X, T, Z, Y ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 72, [ ~( 'between_o'( X, Y, Z, T ) ), 'between_c'( 'ax2_sk4'( X, T
% 1.16/1.53 , Z, Y ), Y, Z, T ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 85, [ 'ordered_by'( sk25, sk26, sk27 ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 86, [ 'ordered_by'( sk25, sk27, sk26 ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 107, [ ~( 'between_c'( X, Y, Z, Y ) ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 5771, [ ~( 'between_o'( X, Y, Z, Y ) ) ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 5793, [ ~( 'ordered_by'( X, Y, Z ) ), ~( 'ordered_by'( X, Z, Y ) )
% 1.16/1.53 ] )
% 1.16/1.53 .
% 1.16/1.53 clause( 5864, [] )
% 1.16/1.53 .
% 1.16/1.53
% 1.16/1.53
% 1.16/1.53 % SZS output end Refutation
% 1.16/1.53 found a proof!
% 1.16/1.53
% 1.16/1.53 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.16/1.53
% 1.16/1.53 initialclauses(
% 1.16/1.53 [ clause( 5866, [ ~( 'part_of'( X, Y ) ), ~( 'incident_c'( Z, X ) ),
% 1.16/1.53 'incident_c'( Z, Y ) ] )
% 1.16/1.53 , clause( 5867, [ 'incident_c'( 'ax0_sk1'( X, Y ), X ), 'part_of'( X, Y ) ]
% 1.16/1.53 )
% 1.16/1.53 , clause( 5868, [ ~( 'incident_c'( 'ax0_sk1'( X, Y ), Y ) ), 'part_of'( X,
% 1.16/1.53 Y ) ] )
% 1.16/1.53 , clause( 5869, [ ~( =( X, sum( Y, Z ) ) ), ~( 'incident_c'( T, X ) ),
% 1.16/1.53 'incident_c'( T, Y ), 'incident_c'( T, Z ) ] )
% 1.16/1.53 , clause( 5870, [ ~( =( X, sum( Y, Z ) ) ), ~( 'incident_c'( T, Y ) ),
% 1.16/1.53 'incident_c'( T, X ) ] )
% 1.16/1.53 , clause( 5871, [ ~( =( X, sum( Y, Z ) ) ), ~( 'incident_c'( T, Z ) ),
% 1.16/1.53 'incident_c'( T, X ) ] )
% 1.16/1.53 , clause( 5872, [ 'incident_c'( 'ax0_sk2'( X, Y, Z ), Z ), 'incident_c'(
% 1.16/1.53 'ax0_sk2'( X, Y, Z ), Y ), 'incident_c'( 'ax0_sk2'( X, Y, Z ), X ), =( Z
% 1.16/1.53 , sum( Y, X ) ) ] )
% 1.16/1.53 , clause( 5873, [ 'incident_c'( 'ax0_sk2'( X, Y, Z ), Z ), ~( 'incident_c'(
% 1.16/1.53 'ax0_sk2'( X, Y, Z ), Z ) ), =( Z, sum( Y, X ) ) ] )
% 1.16/1.53 , clause( 5874, [ ~( 'incident_c'( 'ax0_sk2'( X, Y, Z ), Y ) ),
% 1.16/1.53 'incident_c'( 'ax0_sk2'( X, Y, Z ), Y ), 'incident_c'( 'ax0_sk2'( X, Y, Z
% 1.16/1.53 ), X ), =( Z, sum( Y, X ) ) ] )
% 1.16/1.53 , clause( 5875, [ ~( 'incident_c'( 'ax0_sk2'( X, Y, Z ), X ) ),
% 1.16/1.53 'incident_c'( 'ax0_sk2'( X, Y, Z ), Y ), 'incident_c'( 'ax0_sk2'( X, Y, Z
% 1.16/1.53 ), X ), =( Z, sum( Y, X ) ) ] )
% 1.16/1.53 , clause( 5876, [ ~( 'incident_c'( 'ax0_sk2'( X, Y, Z ), Y ) ), ~(
% 1.16/1.53 'incident_c'( 'ax0_sk2'( X, Y, Z ), Z ) ), =( Z, sum( Y, X ) ) ] )
% 1.16/1.53 , clause( 5877, [ ~( 'incident_c'( 'ax0_sk2'( X, Y, Z ), X ) ), ~(
% 1.16/1.53 'incident_c'( 'ax0_sk2'( X, Y, Z ), Z ) ), =( Z, sum( Y, X ) ) ] )
% 1.16/1.53 , clause( 5878, [ ~( 'end_point'( X, Y ) ), 'incident_c'( X, Y ) ] )
% 1.16/1.53 , clause( 5879, [ ~( 'end_point'( X, Y ) ), ~( 'part_of'( Z, Y ) ), ~(
% 1.16/1.53 'part_of'( T, Y ) ), ~( 'incident_c'( X, Z ) ), ~( 'incident_c'( X, T ) )
% 1.16/1.53 , 'part_of'( Z, T ), 'part_of'( T, Z ) ] )
% 1.16/1.53 , clause( 5880, [ ~( 'incident_c'( X, Y ) ), 'part_of'( 'ax0_sk3'( Y, X ),
% 1.16/1.53 Y ), 'end_point'( X, Y ) ] )
% 1.16/1.53 , clause( 5881, [ ~( 'incident_c'( X, Y ) ), 'part_of'( 'ax0_sk4'( Y, X ),
% 1.16/1.53 Y ), 'end_point'( X, Y ) ] )
% 1.16/1.53 , clause( 5882, [ ~( 'incident_c'( X, Y ) ), 'incident_c'( X, 'ax0_sk3'( Y
% 1.16/1.53 , X ) ), 'end_point'( X, Y ) ] )
% 1.16/1.53 , clause( 5883, [ ~( 'incident_c'( X, Y ) ), 'incident_c'( X, 'ax0_sk4'( Y
% 1.16/1.53 , X ) ), 'end_point'( X, Y ) ] )
% 1.16/1.53 , clause( 5884, [ ~( 'incident_c'( X, Y ) ), ~( 'part_of'( 'ax0_sk3'( Y, X
% 1.16/1.53 ), 'ax0_sk4'( Y, X ) ) ), 'end_point'( X, Y ) ] )
% 1.16/1.53 , clause( 5885, [ ~( 'incident_c'( X, Y ) ), ~( 'part_of'( 'ax0_sk4'( Y, X
% 1.16/1.53 ), 'ax0_sk3'( Y, X ) ) ), 'end_point'( X, Y ) ] )
% 1.16/1.53 , clause( 5886, [ ~( 'inner_point'( X, Y ) ), 'incident_c'( X, Y ) ] )
% 1.16/1.53 , clause( 5887, [ ~( 'inner_point'( X, Y ) ), ~( 'end_point'( X, Y ) ) ] )
% 1.16/1.53 , clause( 5888, [ ~( 'incident_c'( X, Y ) ), 'end_point'( X, Y ),
% 1.16/1.53 'inner_point'( X, Y ) ] )
% 1.16/1.53 , clause( 5889, [ ~( meet( X, Y, Z ) ), 'incident_c'( X, Y ) ] )
% 1.16/1.53 , clause( 5890, [ ~( meet( X, Y, Z ) ), 'incident_c'( X, Z ) ] )
% 1.16/1.53 , clause( 5891, [ ~( meet( X, Y, Z ) ), ~( 'incident_c'( T, Y ) ), ~(
% 1.16/1.53 'incident_c'( T, Z ) ), 'end_point'( T, Y ) ] )
% 1.16/1.53 , clause( 5892, [ ~( meet( X, Y, Z ) ), ~( 'incident_c'( T, Y ) ), ~(
% 1.16/1.53 'incident_c'( T, Z ) ), 'end_point'( T, Z ) ] )
% 1.16/1.53 , clause( 5893, [ ~( 'incident_c'( X, Y ) ), ~( 'incident_c'( X, Z ) ),
% 1.16/1.53 'incident_c'( 'ax0_sk5'( Z, Y, X ), Y ), meet( X, Y, Z ) ] )
% 1.16/1.53 , clause( 5894, [ ~( 'incident_c'( X, Y ) ), ~( 'incident_c'( X, Z ) ),
% 1.16/1.53 'incident_c'( 'ax0_sk5'( Z, Y, X ), Z ), meet( X, Y, Z ) ] )
% 1.16/1.53 , clause( 5895, [ ~( 'incident_c'( X, Y ) ), ~( 'incident_c'( X, Z ) ), ~(
% 1.16/1.53 'end_point'( 'ax0_sk5'( Z, Y, X ), Y ) ), ~( 'end_point'( 'ax0_sk5'( Z, Y
% 1.16/1.53 , X ), Z ) ), meet( X, Y, Z ) ] )
% 1.16/1.53 , clause( 5896, [ ~( closed( X ) ), ~( 'end_point'( Y, X ) ) ] )
% 1.16/1.53 , clause( 5897, [ 'end_point'( 'ax0_sk6'( X ), X ), closed( X ) ] )
% 1.16/1.53 , clause( 5898, [ ~( open( X ) ), 'end_point'( 'ax0_sk7'( X ), X ) ] )
% 1.16/1.53 , clause( 5899, [ ~( 'end_point'( X, Y ) ), open( Y ) ] )
% 1.16/1.53 , clause( 5900, [ ~( 'part_of'( X, Y ) ), =( X, Y ), open( X ) ] )
% 1.16/1.53 , clause( 5901, [ ~( 'part_of'( X, Y ) ), ~( 'part_of'( Z, Y ) ), ~(
% 1.16/1.53 'part_of'( T, Y ) ), ~( 'end_point'( U, X ) ), ~( 'end_point'( U, Z ) ),
% 1.16/1.53 ~( 'end_point'( U, T ) ), 'part_of'( Z, T ), 'part_of'( T, Z ), 'part_of'(
% 1.16/1.53 X, Z ), 'part_of'( Z, X ), 'part_of'( X, T ), 'part_of'( T, X ) ] )
% 1.16/1.53 , clause( 5902, [ 'inner_point'( 'ax0_sk8'( X ), X ) ] )
% 1.16/1.53 , clause( 5903, [ ~( 'inner_point'( X, Y ) ), meet( X, 'ax0_sk9'( X, Y ),
% 1.16/1.53 'ax0_sk10'( X, Y ) ) ] )
% 1.16/1.53 , clause( 5904, [ ~( 'inner_point'( X, Y ) ), =( Y, sum( 'ax0_sk9'( X, Y )
% 1.16/1.53 , 'ax0_sk10'( X, Y ) ) ) ] )
% 1.16/1.53 , clause( 5905, [ ~( 'end_point'( X, Y ) ), ~( 'end_point'( Z, Y ) ), ~(
% 1.16/1.53 'end_point'( T, Y ) ), =( X, Z ), =( X, T ), =( Z, T ) ] )
% 1.16/1.53 , clause( 5906, [ ~( 'end_point'( X, Y ) ), 'end_point'( 'ax0_sk11'( X, Y )
% 1.16/1.53 , Y ) ] )
% 1.16/1.53 , clause( 5907, [ ~( 'end_point'( X, Y ) ), ~( =( X, 'ax0_sk11'( X, Y ) ) )
% 1.16/1.53 ] )
% 1.16/1.53 , clause( 5908, [ ~( closed( X ) ), ~( meet( Y, Z, T ) ), ~( =( X, sum( Z,
% 1.16/1.53 T ) ) ), ~( 'end_point'( U, Z ) ), meet( U, Z, T ) ] )
% 1.16/1.53 , clause( 5909, [ ~( meet( X, Y, Z ) ), =( 'ax0_sk12'( Z, Y ), sum( Y, Z )
% 1.16/1.53 ) ] )
% 1.16/1.53 , clause( 5910, [ 'incident_c'( 'ax0_sk13'( X, Y ), Y ), 'incident_c'(
% 1.16/1.53 'ax0_sk13'( X, Y ), X ), =( Y, X ) ] )
% 1.16/1.53 , clause( 5911, [ 'incident_c'( 'ax0_sk13'( X, Y ), Y ), ~( 'incident_c'(
% 1.16/1.53 'ax0_sk13'( X, Y ), Y ) ), =( Y, X ) ] )
% 1.16/1.53 , clause( 5912, [ ~( 'incident_c'( 'ax0_sk13'( X, Y ), X ) ), 'incident_c'(
% 1.16/1.53 'ax0_sk13'( X, Y ), X ), =( Y, X ) ] )
% 1.16/1.53 , clause( 5913, [ ~( 'incident_c'( 'ax0_sk13'( X, Y ), X ) ), ~(
% 1.16/1.53 'incident_c'( 'ax0_sk13'( X, Y ), Y ) ), =( Y, X ) ] )
% 1.16/1.53 , clause( 5914, [ ~( 'between_c'( X, Y, Z, T ) ), ~( =( Y, T ) ) ] )
% 1.16/1.53 , clause( 5915, [ ~( 'between_c'( X, Y, Z, T ) ), 'part_of'( 'ax1_sk1'( T,
% 1.16/1.53 Z, Y, X ), X ) ] )
% 1.16/1.53 , clause( 5916, [ ~( 'between_c'( X, Y, Z, T ) ), 'end_point'( Y, 'ax1_sk1'(
% 1.16/1.53 T, Z, Y, X ) ) ] )
% 1.16/1.53 , clause( 5917, [ ~( 'between_c'( X, Y, Z, T ) ), 'end_point'( T, 'ax1_sk1'(
% 1.16/1.53 T, Z, Y, X ) ) ] )
% 1.16/1.53 , clause( 5918, [ ~( 'between_c'( X, Y, Z, T ) ), 'inner_point'( Z,
% 1.16/1.53 'ax1_sk1'( T, Z, Y, X ) ) ] )
% 1.16/1.53 , clause( 5919, [ =( X, Y ), ~( 'part_of'( Z, T ) ), ~( 'end_point'( X, Z )
% 1.16/1.53 ), ~( 'end_point'( Y, Z ) ), ~( 'inner_point'( U, Z ) ), 'between_c'( T
% 1.16/1.53 , X, U, Y ) ] )
% 1.16/1.53 , clause( 5920, [ ~( 'between_o'( X, Y, Z, T ) ), 'ordered_by'( X, Y, Z ),
% 1.16/1.53 'ordered_by'( X, T, Z ) ] )
% 1.16/1.53 , clause( 5921, [ ~( 'between_o'( X, Y, Z, T ) ), 'ordered_by'( X, Y, Z ),
% 1.16/1.53 'ordered_by'( X, Z, Y ) ] )
% 1.16/1.53 , clause( 5922, [ ~( 'between_o'( X, Y, Z, T ) ), 'ordered_by'( X, Z, T ),
% 1.16/1.53 'ordered_by'( X, T, Z ) ] )
% 1.16/1.53 , clause( 5923, [ ~( 'between_o'( X, Y, Z, T ) ), 'ordered_by'( X, Z, T ),
% 1.16/1.53 'ordered_by'( X, Z, Y ) ] )
% 1.16/1.53 , clause( 5924, [ ~( 'ordered_by'( X, Y, Z ) ), ~( 'ordered_by'( X, Z, T )
% 1.16/1.53 ), 'between_o'( X, Y, Z, T ) ] )
% 1.16/1.53 , clause( 5925, [ ~( 'ordered_by'( X, Y, Z ) ), ~( 'ordered_by'( X, Z, T )
% 1.16/1.53 ), 'between_o'( X, T, Z, Y ) ] )
% 1.16/1.53 , clause( 5926, [ ~( 'start_point'( X, Y ) ), 'incident_o'( X, Y ) ] )
% 1.16/1.53 , clause( 5927, [ ~( 'start_point'( X, Y ) ), =( X, Z ), ~( 'incident_o'( Z
% 1.16/1.53 , Y ) ), 'ordered_by'( Y, X, Z ) ] )
% 1.16/1.53 , clause( 5928, [ ~( 'incident_o'( X, Y ) ), ~( =( X, 'ax2_sk1'( Y, X ) ) )
% 1.16/1.53 , 'start_point'( X, Y ) ] )
% 1.16/1.53 , clause( 5929, [ ~( 'incident_o'( X, Y ) ), 'incident_o'( 'ax2_sk1'( Y, X
% 1.16/1.53 ), Y ), 'start_point'( X, Y ) ] )
% 1.16/1.53 , clause( 5930, [ ~( 'incident_o'( X, Y ) ), ~( 'ordered_by'( Y, X,
% 1.16/1.53 'ax2_sk1'( Y, X ) ) ), 'start_point'( X, Y ) ] )
% 1.16/1.53 , clause( 5931, [ ~( 'finish_point'( X, Y ) ), 'incident_o'( X, Y ) ] )
% 1.16/1.53 , clause( 5932, [ ~( 'finish_point'( X, Y ) ), =( X, Z ), ~( 'incident_o'(
% 1.16/1.53 Z, Y ) ), 'ordered_by'( Y, Z, X ) ] )
% 1.16/1.53 , clause( 5933, [ ~( 'incident_o'( X, Y ) ), ~( =( X, 'ax2_sk2'( Y, X ) ) )
% 1.16/1.53 , 'finish_point'( X, Y ) ] )
% 1.16/1.53 , clause( 5934, [ ~( 'incident_o'( X, Y ) ), 'incident_o'( 'ax2_sk2'( Y, X
% 1.16/1.53 ), Y ), 'finish_point'( X, Y ) ] )
% 1.16/1.53 , clause( 5935, [ ~( 'incident_o'( X, Y ) ), ~( 'ordered_by'( Y, 'ax2_sk2'(
% 1.16/1.53 Y, X ), X ) ), 'finish_point'( X, Y ) ] )
% 1.16/1.53 , clause( 5936, [ ~( 'ordered_by'( X, Y, Z ) ), 'incident_o'( Y, X ) ] )
% 1.16/1.53 , clause( 5937, [ ~( 'ordered_by'( X, Y, Z ) ), 'incident_o'( Z, X ) ] )
% 1.16/1.53 , clause( 5938, [ open( 'ax2_sk3'( X ) ) ] )
% 1.16/1.53 , clause( 5939, [ ~( 'incident_o'( X, Y ) ), 'incident_c'( X, 'ax2_sk3'( Y
% 1.16/1.53 ) ) ] )
% 1.16/1.53 , clause( 5940, [ ~( 'incident_c'( X, 'ax2_sk3'( Y ) ) ), 'incident_o'( X,
% 1.16/1.53 Y ) ] )
% 1.16/1.53 , clause( 5941, [ ~( 'between_o'( X, Y, Z, T ) ), ~( 'incident_o'( U, X ) )
% 1.16/1.53 , 'incident_c'( U, 'ax2_sk4'( X, T, Z, Y ) ) ] )
% 1.16/1.53 , clause( 5942, [ ~( 'between_o'( X, Y, Z, T ) ), ~( 'incident_c'( U,
% 1.16/1.53 'ax2_sk4'( X, T, Z, Y ) ) ), 'incident_o'( U, X ) ] )
% 1.16/1.53 , clause( 5943, [ ~( 'between_o'( X, Y, Z, T ) ), 'between_c'( 'ax2_sk4'( X
% 1.16/1.53 , T, Z, Y ), Y, Z, T ) ] )
% 1.16/1.53 , clause( 5944, [ 'incident_o'( 'ax2_sk5'( X, Y, Z, T, U ), Y ),
% 1.16/1.53 'incident_c'( 'ax2_sk5'( X, Y, Z, T, U ), X ), ~( 'between_c'( X, U, T, Z
% 1.16/1.53 ) ), 'between_o'( Y, U, T, Z ) ] )
% 1.16/1.53 , clause( 5945, [ 'incident_o'( 'ax2_sk5'( X, Y, Z, T, U ), Y ), ~(
% 1.16/1.53 'incident_o'( 'ax2_sk5'( X, Y, Z, T, U ), Y ) ), ~( 'between_c'( X, U, T
% 1.16/1.53 , Z ) ), 'between_o'( Y, U, T, Z ) ] )
% 1.16/1.53 , clause( 5946, [ ~( 'incident_c'( 'ax2_sk5'( X, Y, Z, T, U ), X ) ),
% 1.16/1.53 'incident_c'( 'ax2_sk5'( X, Y, Z, T, U ), X ), ~( 'between_c'( X, U, T, Z
% 1.16/1.53 ) ), 'between_o'( Y, U, T, Z ) ] )
% 1.16/1.53 , clause( 5947, [ ~( 'incident_c'( 'ax2_sk5'( X, Y, Z, T, U ), X ) ), ~(
% 1.16/1.53 'incident_o'( 'ax2_sk5'( X, Y, Z, T, U ), Y ) ), ~( 'between_c'( X, U, T
% 1.16/1.53 , Z ) ), 'between_o'( Y, U, T, Z ) ] )
% 1.16/1.53 , clause( 5948, [ 'start_point'( 'ax2_sk6'( X ), X ) ] )
% 1.16/1.53 , clause( 5949, [ ~( open( X ) ), =( Y, Z ), ~( 'incident_c'( Y, X ) ), ~(
% 1.16/1.53 'incident_c'( Z, X ) ), ~( 'incident_o'( T, 'ax2_sk7'( X, Z, Y ) ) ),
% 1.16/1.53 'incident_c'( T, X ) ] )
% 1.16/1.53 , clause( 5950, [ ~( open( X ) ), =( Y, Z ), ~( 'incident_c'( Y, X ) ), ~(
% 1.16/1.53 'incident_c'( Z, X ) ), ~( 'incident_c'( T, X ) ), 'incident_o'( T,
% 1.16/1.53 'ax2_sk7'( X, Z, Y ) ) ] )
% 1.16/1.53 , clause( 5951, [ ~( open( X ) ), =( Y, Z ), ~( 'incident_c'( Y, X ) ), ~(
% 1.16/1.53 'incident_c'( Z, X ) ), 'ordered_by'( 'ax2_sk7'( X, Z, Y ), Y, Z ) ] )
% 1.16/1.53 , clause( 5952, [ 'ordered_by'( X, 'ax2_sk8'( Y, X ), 'ax2_sk9'( Y, X ) ),
% 1.16/1.53 'ordered_by'( Y, 'ax2_sk8'( Y, X ), 'ax2_sk9'( Y, X ) ), =( X, Y ) ] )
% 1.16/1.53 , clause( 5953, [ 'ordered_by'( X, 'ax2_sk8'( Y, X ), 'ax2_sk9'( Y, X ) ),
% 1.16/1.53 ~( 'ordered_by'( X, 'ax2_sk8'( Y, X ), 'ax2_sk9'( Y, X ) ) ), =( X, Y ) ]
% 1.16/1.53 )
% 1.16/1.53 , clause( 5954, [ ~( 'ordered_by'( X, 'ax2_sk8'( X, Y ), 'ax2_sk9'( X, Y )
% 1.16/1.53 ) ), 'ordered_by'( X, 'ax2_sk8'( X, Y ), 'ax2_sk9'( X, Y ) ), =( Y, X )
% 1.16/1.53 ] )
% 1.16/1.53 , clause( 5955, [ ~( 'ordered_by'( X, 'ax2_sk8'( X, Y ), 'ax2_sk9'( X, Y )
% 1.16/1.53 ) ), ~( 'ordered_by'( Y, 'ax2_sk8'( X, Y ), 'ax2_sk9'( X, Y ) ) ), =( Y
% 1.16/1.53 , X ) ] )
% 1.16/1.53 , clause( 5956, [ ~( =( X, 'underlying_curve'( Y ) ) ), ~( 'incident_o'( Z
% 1.16/1.53 , Y ) ), 'incident_c'( Z, X ) ] )
% 1.16/1.53 , clause( 5957, [ ~( =( X, 'underlying_curve'( Y ) ) ), ~( 'incident_c'( Z
% 1.16/1.53 , X ) ), 'incident_o'( Z, Y ) ] )
% 1.16/1.53 , clause( 5958, [ 'incident_o'( 'ax2_sk10'( X, Y ), X ), 'incident_c'(
% 1.16/1.53 'ax2_sk10'( X, Y ), Y ), =( Y, 'underlying_curve'( X ) ) ] )
% 1.16/1.53 , clause( 5959, [ 'incident_o'( 'ax2_sk10'( X, Y ), X ), ~( 'incident_o'(
% 1.16/1.53 'ax2_sk10'( X, Y ), X ) ), =( Y, 'underlying_curve'( X ) ) ] )
% 1.16/1.53 , clause( 5960, [ ~( 'incident_c'( 'ax2_sk10'( X, Y ), Y ) ), 'incident_c'(
% 1.16/1.53 'ax2_sk10'( X, Y ), Y ), =( Y, 'underlying_curve'( X ) ) ] )
% 1.16/1.53 , clause( 5961, [ ~( 'incident_c'( 'ax2_sk10'( X, Y ), Y ) ), ~(
% 1.16/1.53 'incident_o'( 'ax2_sk10'( X, Y ), X ) ), =( Y, 'underlying_curve'( X ) )
% 1.16/1.53 ] )
% 1.16/1.53 , clause( 5962, [ 'ordered_by'( sk25, sk26, sk27 ) ] )
% 1.16/1.53 , clause( 5963, [ 'ordered_by'( sk25, sk27, sk26 ) ] )
% 1.16/1.53 ] ).
% 1.16/1.53
% 1.16/1.53
% 1.16/1.53
% 1.16/1.53 subsumption(
% 1.16/1.53 clause( 43, [ ~( 'between_c'( X, Y, Z, T ) ), ~( =( Y, T ) ) ] )
% 1.16/1.53 , clause( 5914, [ ~( 'between_c'( X, Y, Z, T ) ), ~( =( Y, T ) ) ] )
% 1.16/1.53 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.16/1.53 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 1.16/1.53
% 1.16/1.53
% 1.16/1.53 subsumption(
% 1.16/1.53 clause( 54, [ ~( 'ordered_by'( X, Y, Z ) ), ~( 'ordered_by'( X, Z, T ) ),
% 1.16/1.53 'between_o'( X, T, Z, Y ) ] )
% 1.16/1.53 , clause( 5925, [ ~( 'ordered_by'( X, Y, Z ) ), ~( 'ordered_by'( X, Z, T )
% 1.16/1.53 ), 'between_o'( X, T, Z, Y ) ] )
% 1.16/1.53 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.16/1.53 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 1.16/1.53
% 1.16/1.53
% 1.16/1.53 subsumption(
% 1.16/1.53 clause( 72, [ ~( 'between_o'( X, Y, Z, T ) ), 'between_c'( 'ax2_sk4'( X, T
% 1.16/1.53 , Z, Y ), Y, Z, T ) ] )
% 1.16/1.53 , clause( 5943, [ ~( 'between_o'( X, Y, Z, T ) ), 'between_c'( 'ax2_sk4'( X
% 1.16/1.53 , T, Z, Y ), Y, Z, T ) ] )
% 1.16/1.53 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.16/1.53 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 1.16/1.53
% 1.16/1.53
% 1.16/1.53 subsumption(
% 1.16/1.53 clause( 85, [ 'ordered_by'( sk25, sk26, sk27 ) ] )
% 1.16/1.53 , clause( 5962, [ 'ordered_by'( sk25, sk26, sk27 ) ] )
% 1.16/1.53 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.16/1.53
% 1.16/1.53
% 1.16/1.53 subsumption(
% 1.16/1.53 clause( 86, [ 'ordered_by'( sk25, sk27, sk26 ) ] )
% 1.16/1.53 , clause( 5963, [ 'ordered_by'( sk25, sk27, sk26 ) ] )
% 1.16/1.53 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.16/1.53
% 1.16/1.53
% 1.16/1.53 eqswap(
% 1.16/1.53 clause( 6369, [ ~( =( Y, X ) ), ~( 'between_c'( Z, X, T, Y ) ) ] )
% 1.16/1.53 , clause( 43, [ ~( 'between_c'( X, Y, Z, T ) ), ~( =( Y, T ) ) ] )
% 1.16/1.53 , 1, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, T ), :=( T, Y )] )
% 1.16/1.53 ).
% 1.16/1.53
% 1.16/1.53
% 1.16/1.53 eqrefl(
% 1.16/1.53 clause( 6370, [ ~( 'between_c'( Y, X, Z, X ) ) ] )
% 1.16/1.53 , clause( 6369, [ ~( =( Y, X ) ), ~( 'between_c'( Z, X, T, Y ) ) ] )
% 1.16/1.53 , 0, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )
% 1.16/1.53 ).
% 1.16/1.53
% 1.16/1.53
% 1.16/1.53 subsumption(
% 1.16/1.53 clause( 107, [ ~( 'between_c'( X, Y, Z, Y ) ) ] )
% 1.16/1.53 , clause( 6370, [ ~( 'between_c'( Y, X, Z, X ) ) ] )
% 1.16/1.53 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 1.16/1.53 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.16/1.53
% 1.16/1.53
% 1.16/1.53 resolution(
% 1.16/1.53 clause( 6371, [ ~( 'between_o'( X, Y, Z, Y ) ) ] )
% 1.16/1.53 , clause( 107, [ ~( 'between_c'( X, Y, Z, Y ) ) ] )
% 1.16/1.53 , 0, clause( 72, [ ~( 'between_o'( X, Y, Z, T ) ), 'between_c'( 'ax2_sk4'(
% 1.16/1.53 X, T, Z, Y ), Y, Z, T ) ] )
% 1.16/1.53 , 1, substitution( 0, [ :=( X, 'ax2_sk4'( X, Y, Z, Y ) ), :=( Y, Y ), :=( Z
% 1.16/1.53 , Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Y
% 1.16/1.53 )] )).
% 1.16/1.53
% 1.16/1.53
% 1.16/1.53 subsumption(
% 1.16/1.53 clause( 5771, [ ~( 'between_o'( X, Y, Z, Y ) ) ] )
% 1.16/1.53 , clause( 6371, [ ~( 'between_o'( X, Y, Z, Y ) ) ] )
% 1.16/1.53 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.16/1.53 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.16/1.53
% 1.16/1.53
% 1.16/1.53 resolution(
% 1.16/1.53 clause( 6372, [ ~( 'ordered_by'( X, Y, Z ) ), ~( 'ordered_by'( X, Z, Y ) )
% 1.16/1.53 ] )
% 1.16/1.53 , clause( 5771, [ ~( 'between_o'( X, Y, Z, Y ) ) ] )
% 1.16/1.53 , 0, clause( 54, [ ~( 'ordered_by'( X, Y, Z ) ), ~( 'ordered_by'( X, Z, T )
% 1.16/1.53 ), 'between_o'( X, T, Z, Y ) ] )
% 1.16/1.53 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.16/1.53 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Y )] )).
% 1.16/1.53
% 1.16/1.53
% 1.16/1.53 subsumption(
% 1.16/1.53 clause( 5793, [ ~( 'ordered_by'( X, Y, Z ) ), ~( 'ordered_by'( X, Z, Y ) )
% 1.16/1.53 ] )
% 1.16/1.53 , clause( 6372, [ ~( 'ordered_by'( X, Y, Z ) ), ~( 'ordered_by'( X, Z, Y )
% 1.16/1.53 ) ] )
% 1.16/1.53 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.16/1.53 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 1.16/1.53
% 1.16/1.53
% 1.16/1.53 resolution(
% 1.16/1.53 clause( 6374, [ ~( 'ordered_by'( sk25, sk27, sk26 ) ) ] )
% 1.16/1.53 , clause( 5793, [ ~( 'ordered_by'( X, Y, Z ) ), ~( 'ordered_by'( X, Z, Y )
% 1.16/1.53 ) ] )
% 1.16/1.53 , 0, clause( 85, [ 'ordered_by'( sk25, sk26, sk27 ) ] )
% 1.16/1.53 , 0, substitution( 0, [ :=( X, sk25 ), :=( Y, sk26 ), :=( Z, sk27 )] ),
% 1.16/1.53 substitution( 1, [] )).
% 1.16/1.53
% 1.16/1.53
% 1.16/1.53 resolution(
% 1.16/1.53 clause( 6375, [] )
% 1.16/1.53 , clause( 6374, [ ~( 'ordered_by'( sk25, sk27, sk26 ) ) ] )
% 1.16/1.53 , 0, clause( 86, [ 'ordered_by'( sk25, sk27, sk26 ) ] )
% 1.16/1.53 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.16/1.53
% 1.16/1.53
% 1.16/1.53 subsumption(
% 1.16/1.53 clause( 5864, [] )
% 1.16/1.53 , clause( 6375, [] )
% 1.16/1.53 , substitution( 0, [] ), permutation( 0, [] ) ).
% 1.16/1.53
% 1.16/1.53
% 1.16/1.53 end.
% 1.16/1.53
% 1.16/1.53 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.16/1.53
% 1.16/1.53 Memory use:
% 1.16/1.53
% 1.16/1.53 space for terms: 108659
% 1.16/1.53 space for clauses: 276484
% 1.16/1.53
% 1.16/1.53
% 1.16/1.53 clauses generated: 22738
% 1.16/1.53 clauses kept: 5865
% 1.16/1.53 clauses selected: 283
% 1.16/1.53 clauses deleted: 2
% 1.16/1.53 clauses inuse deleted: 2
% 1.16/1.53
% 1.16/1.53 subsentry: 27281
% 1.16/1.53 literals s-matched: 21909
% 1.16/1.53 literals matched: 20271
% 1.16/1.53 full subsumption: 8510
% 1.16/1.53
% 1.16/1.53 checksum: 2132893874
% 1.16/1.53
% 1.16/1.53
% 1.16/1.53 Bliksem ended
%------------------------------------------------------------------------------