TSTP Solution File: GEO117-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO117-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n024.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 02:51:46 EDT 2022
% Result : Unsatisfiable 0.74s 1.49s
% Output : Refutation 0.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO117-1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sat Jun 18 04:54:17 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.69/1.09 *** allocated 10000 integers for termspace/termends
% 0.69/1.09 *** allocated 10000 integers for clauses
% 0.69/1.09 *** allocated 10000 integers for justifications
% 0.69/1.09 Bliksem 1.12
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Automatic Strategy Selection
% 0.69/1.09
% 0.69/1.09 Clauses:
% 0.69/1.09 [
% 0.69/1.09 [ ~( 'part_of'( X, Y ) ), ~( 'incident_c'( Z, X ) ), 'incident_c'( Z, Y
% 0.69/1.09 ) ],
% 0.69/1.09 [ 'incident_c'( 'ax0_sk1'( X, Y ), X ), 'part_of'( X, Y ) ],
% 0.69/1.09 [ ~( 'incident_c'( 'ax0_sk1'( X, Y ), Y ) ), 'part_of'( X, Y ) ],
% 0.69/1.09 [ ~( =( X, sum( Y, Z ) ) ), ~( 'incident_c'( T, X ) ), 'incident_c'( T,
% 0.69/1.09 Y ), 'incident_c'( T, Z ) ],
% 0.69/1.09 [ ~( =( X, sum( Y, Z ) ) ), ~( 'incident_c'( T, Y ) ), 'incident_c'( T,
% 0.69/1.09 X ) ],
% 0.69/1.09 [ ~( =( X, sum( Y, Z ) ) ), ~( 'incident_c'( T, Z ) ), 'incident_c'( T,
% 0.69/1.09 X ) ],
% 0.69/1.09 [ 'incident_c'( 'ax0_sk2'( X, Y, Z ), Z ), 'incident_c'( 'ax0_sk2'( X, Y
% 0.69/1.09 , Z ), Y ), 'incident_c'( 'ax0_sk2'( X, Y, Z ), X ), =( Z, sum( Y, X ) )
% 0.69/1.09 ],
% 0.69/1.09 [ 'incident_c'( 'ax0_sk2'( X, Y, Z ), Z ), ~( 'incident_c'( 'ax0_sk2'( X
% 0.69/1.09 , Y, Z ), Z ) ), =( Z, sum( Y, X ) ) ],
% 0.69/1.09 [ ~( 'incident_c'( 'ax0_sk2'( X, Y, Z ), Y ) ), 'incident_c'( 'ax0_sk2'(
% 0.69/1.09 X, Y, Z ), Y ), 'incident_c'( 'ax0_sk2'( X, Y, Z ), X ), =( Z, sum( Y, X
% 0.69/1.09 ) ) ],
% 0.69/1.09 [ ~( 'incident_c'( 'ax0_sk2'( X, Y, Z ), X ) ), 'incident_c'( 'ax0_sk2'(
% 0.69/1.09 X, Y, Z ), Y ), 'incident_c'( 'ax0_sk2'( X, Y, Z ), X ), =( Z, sum( Y, X
% 0.69/1.09 ) ) ],
% 0.69/1.09 [ ~( 'incident_c'( 'ax0_sk2'( X, Y, Z ), Y ) ), ~( 'incident_c'(
% 0.69/1.09 'ax0_sk2'( X, Y, Z ), Z ) ), =( Z, sum( Y, X ) ) ],
% 0.69/1.09 [ ~( 'incident_c'( 'ax0_sk2'( X, Y, Z ), X ) ), ~( 'incident_c'(
% 0.69/1.09 'ax0_sk2'( X, Y, Z ), Z ) ), =( Z, sum( Y, X ) ) ],
% 0.69/1.09 [ ~( 'end_point'( X, Y ) ), 'incident_c'( X, Y ) ],
% 0.69/1.09 [ ~( 'end_point'( X, Y ) ), ~( 'part_of'( Z, Y ) ), ~( 'part_of'( T, Y )
% 0.69/1.09 ), ~( 'incident_c'( X, Z ) ), ~( 'incident_c'( X, T ) ), 'part_of'( Z, T
% 0.69/1.09 ), 'part_of'( T, Z ) ],
% 0.69/1.09 [ ~( 'incident_c'( X, Y ) ), 'part_of'( 'ax0_sk3'( Y, X ), Y ),
% 0.69/1.09 'end_point'( X, Y ) ],
% 0.69/1.09 [ ~( 'incident_c'( X, Y ) ), 'part_of'( 'ax0_sk4'( Y, X ), Y ),
% 0.69/1.09 'end_point'( X, Y ) ],
% 0.69/1.09 [ ~( 'incident_c'( X, Y ) ), 'incident_c'( X, 'ax0_sk3'( Y, X ) ),
% 0.69/1.09 'end_point'( X, Y ) ],
% 0.69/1.09 [ ~( 'incident_c'( X, Y ) ), 'incident_c'( X, 'ax0_sk4'( Y, X ) ),
% 0.69/1.09 'end_point'( X, Y ) ],
% 0.69/1.09 [ ~( 'incident_c'( X, Y ) ), ~( 'part_of'( 'ax0_sk3'( Y, X ), 'ax0_sk4'(
% 0.69/1.09 Y, X ) ) ), 'end_point'( X, Y ) ],
% 0.69/1.09 [ ~( 'incident_c'( X, Y ) ), ~( 'part_of'( 'ax0_sk4'( Y, X ), 'ax0_sk3'(
% 0.69/1.09 Y, X ) ) ), 'end_point'( X, Y ) ],
% 0.69/1.09 [ ~( 'inner_point'( X, Y ) ), 'incident_c'( X, Y ) ],
% 0.69/1.09 [ ~( 'inner_point'( X, Y ) ), ~( 'end_point'( X, Y ) ) ],
% 0.69/1.09 [ ~( 'incident_c'( X, Y ) ), 'end_point'( X, Y ), 'inner_point'( X, Y )
% 0.69/1.09 ],
% 0.69/1.09 [ ~( meet( X, Y, Z ) ), 'incident_c'( X, Y ) ],
% 0.69/1.09 [ ~( meet( X, Y, Z ) ), 'incident_c'( X, Z ) ],
% 0.69/1.09 [ ~( meet( X, Y, Z ) ), ~( 'incident_c'( T, Y ) ), ~( 'incident_c'( T, Z
% 0.69/1.09 ) ), 'end_point'( T, Y ) ],
% 0.69/1.09 [ ~( meet( X, Y, Z ) ), ~( 'incident_c'( T, Y ) ), ~( 'incident_c'( T, Z
% 0.69/1.09 ) ), 'end_point'( T, Z ) ],
% 0.69/1.09 [ ~( 'incident_c'( X, Y ) ), ~( 'incident_c'( X, Z ) ), 'incident_c'(
% 0.69/1.09 'ax0_sk5'( Z, Y, X ), Y ), meet( X, Y, Z ) ],
% 0.69/1.09 [ ~( 'incident_c'( X, Y ) ), ~( 'incident_c'( X, Z ) ), 'incident_c'(
% 0.69/1.09 'ax0_sk5'( Z, Y, X ), Z ), meet( X, Y, Z ) ],
% 0.69/1.09 [ ~( 'incident_c'( X, Y ) ), ~( 'incident_c'( X, Z ) ), ~( 'end_point'(
% 0.69/1.09 'ax0_sk5'( Z, Y, X ), Y ) ), ~( 'end_point'( 'ax0_sk5'( Z, Y, X ), Z ) )
% 0.69/1.09 , meet( X, Y, Z ) ],
% 0.69/1.09 [ ~( closed( X ) ), ~( 'end_point'( Y, X ) ) ],
% 0.69/1.09 [ 'end_point'( 'ax0_sk6'( X ), X ), closed( X ) ],
% 0.69/1.09 [ ~( open( X ) ), 'end_point'( 'ax0_sk7'( X ), X ) ],
% 0.69/1.09 [ ~( 'end_point'( X, Y ) ), open( Y ) ],
% 0.69/1.09 [ ~( 'part_of'( X, Y ) ), =( X, Y ), open( X ) ],
% 0.69/1.09 [ ~( 'part_of'( X, Y ) ), ~( 'part_of'( Z, Y ) ), ~( 'part_of'( T, Y ) )
% 0.69/1.09 , ~( 'end_point'( U, X ) ), ~( 'end_point'( U, Z ) ), ~( 'end_point'( U,
% 0.69/1.09 T ) ), 'part_of'( Z, T ), 'part_of'( T, Z ), 'part_of'( X, Z ), 'part_of'(
% 0.69/1.09 Z, X ), 'part_of'( X, T ), 'part_of'( T, X ) ],
% 0.69/1.09 [ 'inner_point'( 'ax0_sk8'( X ), X ) ],
% 0.69/1.09 [ ~( 'inner_point'( X, Y ) ), meet( X, 'ax0_sk9'( X, Y ), 'ax0_sk10'( X
% 0.69/1.09 , Y ) ) ],
% 0.69/1.09 [ ~( 'inner_point'( X, Y ) ), =( Y, sum( 'ax0_sk9'( X, Y ), 'ax0_sk10'(
% 0.69/1.09 X, Y ) ) ) ],
% 0.69/1.09 [ ~( 'end_point'( X, Y ) ), ~( 'end_point'( Z, Y ) ), ~( 'end_point'( T
% 0.69/1.09 , Y ) ), =( X, Z ), =( X, T ), =( Z, T ) ],
% 0.69/1.09 [ ~( 'end_point'( X, Y ) ), 'end_point'( 'ax0_sk11'( X, Y ), Y ) ],
% 0.69/1.09 [ ~( 'end_point'( X, Y ) ), ~( =( X, 'ax0_sk11'( X, Y ) ) ) ],
% 0.69/1.09 [ ~( closed( X ) ), ~( meet( Y, Z, T ) ), ~( =( X, sum( Z, T ) ) ), ~(
% 0.69/1.09 'end_point'( U, Z ) ), meet( U, Z, T ) ],
% 0.69/1.09 [ ~( meet( X, Y, Z ) ), =( 'ax0_sk12'( Z, Y ), sum( Y, Z ) ) ],
% 0.69/1.09 [ 'incident_c'( 'ax0_sk13'( X, Y ), Y ), 'incident_c'( 'ax0_sk13'( X, Y
% 0.69/1.09 ), X ), =( Y, X ) ],
% 0.69/1.09 [ 'incident_c'( 'ax0_sk13'( X, Y ), Y ), ~( 'incident_c'( 'ax0_sk13'( X
% 0.69/1.09 , Y ), Y ) ), =( Y, X ) ],
% 0.69/1.09 [ ~( 'incident_c'( 'ax0_sk13'( X, Y ), X ) ), 'incident_c'( 'ax0_sk13'(
% 0.69/1.09 X, Y ), X ), =( Y, X ) ],
% 0.69/1.09 [ ~( 'incident_c'( 'ax0_sk13'( X, Y ), X ) ), ~( 'incident_c'(
% 0.69/1.09 'ax0_sk13'( X, Y ), Y ) ), =( Y, X ) ],
% 0.69/1.09 [ ~( 'between_c'( X, Y, Z, T ) ), ~( =( Y, T ) ) ],
% 0.69/1.09 [ ~( 'between_c'( X, Y, Z, T ) ), 'part_of'( 'ax1_sk1'( T, Z, Y, X ), X
% 0.69/1.09 ) ],
% 0.69/1.09 [ ~( 'between_c'( X, Y, Z, T ) ), 'end_point'( Y, 'ax1_sk1'( T, Z, Y, X
% 0.69/1.09 ) ) ],
% 0.69/1.09 [ ~( 'between_c'( X, Y, Z, T ) ), 'end_point'( T, 'ax1_sk1'( T, Z, Y, X
% 0.69/1.09 ) ) ],
% 0.69/1.09 [ ~( 'between_c'( X, Y, Z, T ) ), 'inner_point'( Z, 'ax1_sk1'( T, Z, Y,
% 0.69/1.09 X ) ) ],
% 0.69/1.09 [ =( X, Y ), ~( 'part_of'( Z, T ) ), ~( 'end_point'( X, Z ) ), ~(
% 0.69/1.09 'end_point'( Y, Z ) ), ~( 'inner_point'( U, Z ) ), 'between_c'( T, X, U,
% 0.69/1.09 Y ) ],
% 0.69/1.09 [ ~( 'between_o'( X, Y, Z, T ) ), 'ordered_by'( X, Y, Z ), 'ordered_by'(
% 0.69/1.09 X, T, Z ) ],
% 0.69/1.09 [ ~( 'between_o'( X, Y, Z, T ) ), 'ordered_by'( X, Y, Z ), 'ordered_by'(
% 0.69/1.09 X, Z, Y ) ],
% 0.69/1.09 [ ~( 'between_o'( X, Y, Z, T ) ), 'ordered_by'( X, Z, T ), 'ordered_by'(
% 0.69/1.09 X, T, Z ) ],
% 0.69/1.09 [ ~( 'between_o'( X, Y, Z, T ) ), 'ordered_by'( X, Z, T ), 'ordered_by'(
% 0.69/1.09 X, Z, Y ) ],
% 0.69/1.09 [ ~( 'ordered_by'( X, Y, Z ) ), ~( 'ordered_by'( X, Z, T ) ),
% 0.69/1.09 'between_o'( X, Y, Z, T ) ],
% 0.69/1.09 [ ~( 'ordered_by'( X, Y, Z ) ), ~( 'ordered_by'( X, Z, T ) ),
% 0.69/1.09 'between_o'( X, T, Z, Y ) ],
% 0.69/1.09 [ ~( 'start_point'( X, Y ) ), 'incident_o'( X, Y ) ],
% 0.69/1.09 [ ~( 'start_point'( X, Y ) ), =( X, Z ), ~( 'incident_o'( Z, Y ) ),
% 0.69/1.09 'ordered_by'( Y, X, Z ) ],
% 0.69/1.09 [ ~( 'incident_o'( X, Y ) ), ~( =( X, 'ax2_sk1'( Y, X ) ) ),
% 0.69/1.09 'start_point'( X, Y ) ],
% 0.69/1.09 [ ~( 'incident_o'( X, Y ) ), 'incident_o'( 'ax2_sk1'( Y, X ), Y ),
% 0.69/1.09 'start_point'( X, Y ) ],
% 0.69/1.09 [ ~( 'incident_o'( X, Y ) ), ~( 'ordered_by'( Y, X, 'ax2_sk1'( Y, X ) )
% 0.69/1.09 ), 'start_point'( X, Y ) ],
% 0.69/1.09 [ ~( 'finish_point'( X, Y ) ), 'incident_o'( X, Y ) ],
% 0.69/1.09 [ ~( 'finish_point'( X, Y ) ), =( X, Z ), ~( 'incident_o'( Z, Y ) ),
% 0.69/1.09 'ordered_by'( Y, Z, X ) ],
% 0.69/1.09 [ ~( 'incident_o'( X, Y ) ), ~( =( X, 'ax2_sk2'( Y, X ) ) ),
% 0.69/1.09 'finish_point'( X, Y ) ],
% 0.69/1.09 [ ~( 'incident_o'( X, Y ) ), 'incident_o'( 'ax2_sk2'( Y, X ), Y ),
% 0.69/1.09 'finish_point'( X, Y ) ],
% 0.69/1.09 [ ~( 'incident_o'( X, Y ) ), ~( 'ordered_by'( Y, 'ax2_sk2'( Y, X ), X )
% 0.69/1.09 ), 'finish_point'( X, Y ) ],
% 0.69/1.09 [ ~( 'ordered_by'( X, Y, Z ) ), 'incident_o'( Y, X ) ],
% 0.69/1.09 [ ~( 'ordered_by'( X, Y, Z ) ), 'incident_o'( Z, X ) ],
% 0.69/1.09 [ open( 'ax2_sk3'( X ) ) ],
% 0.69/1.09 [ ~( 'incident_o'( X, Y ) ), 'incident_c'( X, 'ax2_sk3'( Y ) ) ],
% 0.69/1.09 [ ~( 'incident_c'( X, 'ax2_sk3'( Y ) ) ), 'incident_o'( X, Y ) ],
% 0.69/1.09 [ ~( 'between_o'( X, Y, Z, T ) ), ~( 'incident_o'( U, X ) ),
% 0.69/1.09 'incident_c'( U, 'ax2_sk4'( X, T, Z, Y ) ) ],
% 0.69/1.09 [ ~( 'between_o'( X, Y, Z, T ) ), ~( 'incident_c'( U, 'ax2_sk4'( X, T, Z
% 0.69/1.09 , Y ) ) ), 'incident_o'( U, X ) ],
% 0.69/1.09 [ ~( 'between_o'( X, Y, Z, T ) ), 'between_c'( 'ax2_sk4'( X, T, Z, Y ),
% 0.69/1.09 Y, Z, T ) ],
% 0.69/1.09 [ 'incident_o'( 'ax2_sk5'( X, Y, Z, T, U ), Y ), 'incident_c'( 'ax2_sk5'(
% 0.69/1.09 X, Y, Z, T, U ), X ), ~( 'between_c'( X, U, T, Z ) ), 'between_o'( Y, U,
% 0.69/1.09 T, Z ) ],
% 0.69/1.09 [ 'incident_o'( 'ax2_sk5'( X, Y, Z, T, U ), Y ), ~( 'incident_o'(
% 0.69/1.09 'ax2_sk5'( X, Y, Z, T, U ), Y ) ), ~( 'between_c'( X, U, T, Z ) ),
% 0.69/1.09 'between_o'( Y, U, T, Z ) ],
% 0.69/1.09 [ ~( 'incident_c'( 'ax2_sk5'( X, Y, Z, T, U ), X ) ), 'incident_c'(
% 0.69/1.09 'ax2_sk5'( X, Y, Z, T, U ), X ), ~( 'between_c'( X, U, T, Z ) ),
% 0.69/1.09 'between_o'( Y, U, T, Z ) ],
% 0.69/1.09 [ ~( 'incident_c'( 'ax2_sk5'( X, Y, Z, T, U ), X ) ), ~( 'incident_o'(
% 0.69/1.09 'ax2_sk5'( X, Y, Z, T, U ), Y ) ), ~( 'between_c'( X, U, T, Z ) ),
% 0.74/1.49 'between_o'( Y, U, T, Z ) ],
% 0.74/1.49 [ 'start_point'( 'ax2_sk6'( X ), X ) ],
% 0.74/1.49 [ ~( open( X ) ), =( Y, Z ), ~( 'incident_c'( Y, X ) ), ~( 'incident_c'(
% 0.74/1.49 Z, X ) ), ~( 'incident_o'( T, 'ax2_sk7'( X, Z, Y ) ) ), 'incident_c'( T,
% 0.74/1.49 X ) ],
% 0.74/1.49 [ ~( open( X ) ), =( Y, Z ), ~( 'incident_c'( Y, X ) ), ~( 'incident_c'(
% 0.74/1.49 Z, X ) ), ~( 'incident_c'( T, X ) ), 'incident_o'( T, 'ax2_sk7'( X, Z, Y
% 0.74/1.49 ) ) ],
% 0.74/1.49 [ ~( open( X ) ), =( Y, Z ), ~( 'incident_c'( Y, X ) ), ~( 'incident_c'(
% 0.74/1.49 Z, X ) ), 'ordered_by'( 'ax2_sk7'( X, Z, Y ), Y, Z ) ],
% 0.74/1.49 [ 'ordered_by'( X, 'ax2_sk8'( Y, X ), 'ax2_sk9'( Y, X ) ), 'ordered_by'(
% 0.74/1.49 Y, 'ax2_sk8'( Y, X ), 'ax2_sk9'( Y, X ) ), =( X, Y ) ],
% 0.74/1.49 [ 'ordered_by'( X, 'ax2_sk8'( Y, X ), 'ax2_sk9'( Y, X ) ), ~(
% 0.74/1.49 'ordered_by'( X, 'ax2_sk8'( Y, X ), 'ax2_sk9'( Y, X ) ) ), =( X, Y ) ]
% 0.74/1.49 ,
% 0.74/1.49 [ ~( 'ordered_by'( X, 'ax2_sk8'( X, Y ), 'ax2_sk9'( X, Y ) ) ),
% 0.74/1.49 'ordered_by'( X, 'ax2_sk8'( X, Y ), 'ax2_sk9'( X, Y ) ), =( Y, X ) ],
% 0.74/1.49 [ ~( 'ordered_by'( X, 'ax2_sk8'( X, Y ), 'ax2_sk9'( X, Y ) ) ), ~(
% 0.74/1.49 'ordered_by'( Y, 'ax2_sk8'( X, Y ), 'ax2_sk9'( X, Y ) ) ), =( Y, X ) ]
% 0.74/1.49 ,
% 0.74/1.49 [ ~( =( X, 'underlying_curve'( Y ) ) ), ~( 'incident_o'( Z, Y ) ),
% 0.74/1.49 'incident_c'( Z, X ) ],
% 0.74/1.49 [ ~( =( X, 'underlying_curve'( Y ) ) ), ~( 'incident_c'( Z, X ) ),
% 0.74/1.49 'incident_o'( Z, Y ) ],
% 0.74/1.49 [ 'incident_o'( 'ax2_sk10'( X, Y ), X ), 'incident_c'( 'ax2_sk10'( X, Y
% 0.74/1.49 ), Y ), =( Y, 'underlying_curve'( X ) ) ],
% 0.74/1.49 [ 'incident_o'( 'ax2_sk10'( X, Y ), X ), ~( 'incident_o'( 'ax2_sk10'( X
% 0.74/1.49 , Y ), X ) ), =( Y, 'underlying_curve'( X ) ) ],
% 0.74/1.49 [ ~( 'incident_c'( 'ax2_sk10'( X, Y ), Y ) ), 'incident_c'( 'ax2_sk10'(
% 0.74/1.49 X, Y ), Y ), =( Y, 'underlying_curve'( X ) ) ],
% 0.74/1.49 [ ~( 'incident_c'( 'ax2_sk10'( X, Y ), Y ) ), ~( 'incident_o'(
% 0.74/1.49 'ax2_sk10'( X, Y ), X ) ), =( Y, 'underlying_curve'( X ) ) ],
% 0.74/1.49 [ 'ordered_by'( sk25, sk26, sk26 ) ]
% 0.74/1.49 ] .
% 0.74/1.49
% 0.74/1.49
% 0.74/1.49 percentage equality = 0.117871, percentage horn = 0.639535
% 0.74/1.49 This is a problem with some equality
% 0.74/1.49
% 0.74/1.49
% 0.74/1.49
% 0.74/1.49 Options Used:
% 0.74/1.49
% 0.74/1.49 useres = 1
% 0.74/1.49 useparamod = 1
% 0.74/1.49 useeqrefl = 1
% 0.74/1.49 useeqfact = 1
% 0.74/1.49 usefactor = 1
% 0.74/1.49 usesimpsplitting = 0
% 0.74/1.49 usesimpdemod = 5
% 0.74/1.49 usesimpres = 3
% 0.74/1.49
% 0.74/1.49 resimpinuse = 1000
% 0.74/1.49 resimpclauses = 20000
% 0.74/1.49 substype = eqrewr
% 0.74/1.49 backwardsubs = 1
% 0.74/1.49 selectoldest = 5
% 0.74/1.49
% 0.74/1.49 litorderings [0] = split
% 0.74/1.49 litorderings [1] = extend the termordering, first sorting on arguments
% 0.74/1.49
% 0.74/1.49 termordering = kbo
% 0.74/1.49
% 0.74/1.49 litapriori = 0
% 0.74/1.49 termapriori = 1
% 0.74/1.49 litaposteriori = 0
% 0.74/1.49 termaposteriori = 0
% 0.74/1.49 demodaposteriori = 0
% 0.74/1.49 ordereqreflfact = 0
% 0.74/1.49
% 0.74/1.49 litselect = negord
% 0.74/1.49
% 0.74/1.49 maxweight = 15
% 0.74/1.49 maxdepth = 30000
% 0.74/1.49 maxlength = 115
% 0.74/1.49 maxnrvars = 195
% 0.74/1.49 excuselevel = 1
% 0.74/1.49 increasemaxweight = 1
% 0.74/1.49
% 0.74/1.49 maxselected = 10000000
% 0.74/1.49 maxnrclauses = 10000000
% 0.74/1.49
% 0.74/1.49 showgenerated = 0
% 0.74/1.49 showkept = 0
% 0.74/1.49 showselected = 0
% 0.74/1.49 showdeleted = 0
% 0.74/1.49 showresimp = 1
% 0.74/1.49 showstatus = 2000
% 0.74/1.49
% 0.74/1.49 prologoutput = 1
% 0.74/1.49 nrgoals = 5000000
% 0.74/1.49 totalproof = 1
% 0.74/1.49
% 0.74/1.49 Symbols occurring in the translation:
% 0.74/1.49
% 0.74/1.49 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.74/1.49 . [1, 2] (w:1, o:29, a:1, s:1, b:0),
% 0.74/1.49 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.74/1.49 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.49 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.49 'part_of' [41, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.74/1.49 'incident_c' [43, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.74/1.49 'ax0_sk1' [44, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.74/1.49 sum [45, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.74/1.49 'ax0_sk2' [47, 3] (w:1, o:75, a:1, s:1, b:0),
% 0.74/1.49 'end_point' [48, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.74/1.49 'ax0_sk3' [49, 2] (w:1, o:60, a:1, s:1, b:0),
% 0.74/1.49 'ax0_sk4' [50, 2] (w:1, o:61, a:1, s:1, b:0),
% 0.74/1.49 'inner_point' [51, 2] (w:1, o:62, a:1, s:1, b:0),
% 0.74/1.49 meet [52, 3] (w:1, o:76, a:1, s:1, b:0),
% 0.74/1.49 'ax0_sk5' [53, 3] (w:1, o:77, a:1, s:1, b:0),
% 0.74/1.49 closed [54, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.74/1.49 'ax0_sk6' [55, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.74/1.49 open [56, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.74/1.49 'ax0_sk7' [57, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.74/1.49 'ax0_sk8' [59, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.74/1.49 'ax0_sk9' [60, 2] (w:1, o:63, a:1, s:1, b:0),
% 0.74/1.49 'ax0_sk10' [61, 2] (w:1, o:64, a:1, s:1, b:0),
% 0.74/1.49 'ax0_sk11' [62, 2] (w:1, o:65, a:1, s:1, b:0),
% 0.74/1.49 'ax0_sk12' [63, 2] (w:1, o:66, a:1, s:1, b:0),
% 0.74/1.49 'ax0_sk13' [64, 2] (w:1, o:67, a:1, s:1, b:0),
% 0.74/1.49 'between_c' [65, 4] (w:1, o:82, a:1, s:1, b:0),
% 0.74/1.49 'ax1_sk1' [66, 4] (w:1, o:80, a:1, s:1, b:0),
% 0.74/1.49 'between_o' [67, 4] (w:1, o:83, a:1, s:1, b:0),
% 0.74/1.49 'ordered_by' [68, 3] (w:1, o:78, a:1, s:1, b:0),
% 0.74/1.49 'start_point' [69, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.74/1.49 'incident_o' [70, 2] (w:1, o:68, a:1, s:1, b:0),
% 0.74/1.49 'ax2_sk1' [71, 2] (w:1, o:69, a:1, s:1, b:0),
% 0.74/1.49 'finish_point' [72, 2] (w:1, o:70, a:1, s:1, b:0),
% 0.74/1.49 'ax2_sk2' [73, 2] (w:1, o:72, a:1, s:1, b:0),
% 0.74/1.49 'ax2_sk3' [74, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.74/1.49 'ax2_sk4' [75, 4] (w:1, o:81, a:1, s:1, b:0),
% 0.74/1.49 'ax2_sk5' [76, 5] (w:1, o:84, a:1, s:1, b:0),
% 0.74/1.49 'ax2_sk6' [77, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.74/1.49 'ax2_sk7' [78, 3] (w:1, o:79, a:1, s:1, b:0),
% 0.74/1.49 'ax2_sk8' [79, 2] (w:1, o:73, a:1, s:1, b:0),
% 0.74/1.49 'ax2_sk9' [80, 2] (w:1, o:74, a:1, s:1, b:0),
% 0.74/1.49 'underlying_curve' [81, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.74/1.49 'ax2_sk10' [82, 2] (w:1, o:71, a:1, s:1, b:0),
% 0.74/1.49 sk25 [83, 0] (w:1, o:5, a:1, s:1, b:0),
% 0.74/1.49 sk26 [84, 0] (w:1, o:6, a:1, s:1, b:0).
% 0.74/1.49
% 0.74/1.49
% 0.74/1.49 Starting Search:
% 0.74/1.49
% 0.74/1.49 Resimplifying inuse:
% 0.74/1.49 Done
% 0.74/1.49
% 0.74/1.49
% 0.74/1.49 Intermediate Status:
% 0.74/1.49 Generated: 5626
% 0.74/1.49 Kept: 2074
% 0.74/1.49 Inuse: 124
% 0.74/1.49 Deleted: 0
% 0.74/1.49 Deletedinuse: 0
% 0.74/1.49
% 0.74/1.49 Resimplifying inuse:
% 0.74/1.49 Done
% 0.74/1.49
% 0.74/1.49 Resimplifying inuse:
% 0.74/1.49 Done
% 0.74/1.49
% 0.74/1.49
% 0.74/1.49 Intermediate Status:
% 0.74/1.49 Generated: 16775
% 0.74/1.49 Kept: 4083
% 0.74/1.49 Inuse: 229
% 0.74/1.49 Deleted: 1
% 0.74/1.49 Deletedinuse: 1
% 0.74/1.49
% 0.74/1.49 Resimplifying inuse:
% 0.74/1.49 Done
% 0.74/1.49
% 0.74/1.49 Resimplifying inuse:
% 0.74/1.49 Done
% 0.74/1.49
% 0.74/1.49
% 0.74/1.49 Bliksems!, er is een bewijs:
% 0.74/1.49 % SZS status Unsatisfiable
% 0.74/1.49 % SZS output start Refutation
% 0.74/1.49
% 0.74/1.49 clause( 43, [ ~( 'between_c'( X, Y, Z, T ) ), ~( =( Y, T ) ) ] )
% 0.74/1.49 .
% 0.74/1.49 clause( 53, [ ~( 'ordered_by'( X, Y, Z ) ), ~( 'ordered_by'( X, Z, T ) ),
% 0.74/1.49 'between_o'( X, Y, Z, T ) ] )
% 0.74/1.49 .
% 0.74/1.49 clause( 72, [ ~( 'between_o'( X, Y, Z, T ) ), 'between_c'( 'ax2_sk4'( X, T
% 0.74/1.49 , Z, Y ), Y, Z, T ) ] )
% 0.74/1.49 .
% 0.74/1.49 clause( 85, [ 'ordered_by'( sk25, sk26, sk26 ) ] )
% 0.74/1.49 .
% 0.74/1.49 clause( 106, [ ~( 'between_c'( X, Y, Z, Y ) ) ] )
% 0.74/1.49 .
% 0.74/1.49 clause( 5381, [ 'between_c'( 'ax2_sk4'( X, Y, Z, T ), T, Z, Y ), ~(
% 0.74/1.49 'ordered_by'( X, T, Z ) ), ~( 'ordered_by'( X, Z, Y ) ) ] )
% 0.74/1.49 .
% 0.74/1.49 clause( 5404, [ ~( 'ordered_by'( X, Y, Y ) ) ] )
% 0.74/1.49 .
% 0.74/1.49 clause( 5409, [] )
% 0.74/1.49 .
% 0.74/1.49
% 0.74/1.49
% 0.74/1.49 % SZS output end Refutation
% 0.74/1.49 found a proof!
% 0.74/1.49
% 0.74/1.49 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.49
% 0.74/1.49 initialclauses(
% 0.74/1.49 [ clause( 5411, [ ~( 'part_of'( X, Y ) ), ~( 'incident_c'( Z, X ) ),
% 0.74/1.49 'incident_c'( Z, Y ) ] )
% 0.74/1.49 , clause( 5412, [ 'incident_c'( 'ax0_sk1'( X, Y ), X ), 'part_of'( X, Y ) ]
% 0.74/1.49 )
% 0.74/1.49 , clause( 5413, [ ~( 'incident_c'( 'ax0_sk1'( X, Y ), Y ) ), 'part_of'( X,
% 0.74/1.49 Y ) ] )
% 0.74/1.49 , clause( 5414, [ ~( =( X, sum( Y, Z ) ) ), ~( 'incident_c'( T, X ) ),
% 0.74/1.49 'incident_c'( T, Y ), 'incident_c'( T, Z ) ] )
% 0.74/1.49 , clause( 5415, [ ~( =( X, sum( Y, Z ) ) ), ~( 'incident_c'( T, Y ) ),
% 0.74/1.49 'incident_c'( T, X ) ] )
% 0.74/1.49 , clause( 5416, [ ~( =( X, sum( Y, Z ) ) ), ~( 'incident_c'( T, Z ) ),
% 0.74/1.49 'incident_c'( T, X ) ] )
% 0.74/1.49 , clause( 5417, [ 'incident_c'( 'ax0_sk2'( X, Y, Z ), Z ), 'incident_c'(
% 0.74/1.49 'ax0_sk2'( X, Y, Z ), Y ), 'incident_c'( 'ax0_sk2'( X, Y, Z ), X ), =( Z
% 0.74/1.49 , sum( Y, X ) ) ] )
% 0.74/1.49 , clause( 5418, [ 'incident_c'( 'ax0_sk2'( X, Y, Z ), Z ), ~( 'incident_c'(
% 0.74/1.49 'ax0_sk2'( X, Y, Z ), Z ) ), =( Z, sum( Y, X ) ) ] )
% 0.74/1.49 , clause( 5419, [ ~( 'incident_c'( 'ax0_sk2'( X, Y, Z ), Y ) ),
% 0.74/1.49 'incident_c'( 'ax0_sk2'( X, Y, Z ), Y ), 'incident_c'( 'ax0_sk2'( X, Y, Z
% 0.74/1.49 ), X ), =( Z, sum( Y, X ) ) ] )
% 0.74/1.49 , clause( 5420, [ ~( 'incident_c'( 'ax0_sk2'( X, Y, Z ), X ) ),
% 0.74/1.49 'incident_c'( 'ax0_sk2'( X, Y, Z ), Y ), 'incident_c'( 'ax0_sk2'( X, Y, Z
% 0.74/1.49 ), X ), =( Z, sum( Y, X ) ) ] )
% 0.74/1.49 , clause( 5421, [ ~( 'incident_c'( 'ax0_sk2'( X, Y, Z ), Y ) ), ~(
% 0.74/1.49 'incident_c'( 'ax0_sk2'( X, Y, Z ), Z ) ), =( Z, sum( Y, X ) ) ] )
% 0.74/1.49 , clause( 5422, [ ~( 'incident_c'( 'ax0_sk2'( X, Y, Z ), X ) ), ~(
% 0.74/1.49 'incident_c'( 'ax0_sk2'( X, Y, Z ), Z ) ), =( Z, sum( Y, X ) ) ] )
% 0.74/1.49 , clause( 5423, [ ~( 'end_point'( X, Y ) ), 'incident_c'( X, Y ) ] )
% 0.74/1.49 , clause( 5424, [ ~( 'end_point'( X, Y ) ), ~( 'part_of'( Z, Y ) ), ~(
% 0.74/1.49 'part_of'( T, Y ) ), ~( 'incident_c'( X, Z ) ), ~( 'incident_c'( X, T ) )
% 0.74/1.49 , 'part_of'( Z, T ), 'part_of'( T, Z ) ] )
% 0.74/1.49 , clause( 5425, [ ~( 'incident_c'( X, Y ) ), 'part_of'( 'ax0_sk3'( Y, X ),
% 0.74/1.49 Y ), 'end_point'( X, Y ) ] )
% 0.74/1.49 , clause( 5426, [ ~( 'incident_c'( X, Y ) ), 'part_of'( 'ax0_sk4'( Y, X ),
% 0.74/1.49 Y ), 'end_point'( X, Y ) ] )
% 0.74/1.49 , clause( 5427, [ ~( 'incident_c'( X, Y ) ), 'incident_c'( X, 'ax0_sk3'( Y
% 0.74/1.49 , X ) ), 'end_point'( X, Y ) ] )
% 0.74/1.49 , clause( 5428, [ ~( 'incident_c'( X, Y ) ), 'incident_c'( X, 'ax0_sk4'( Y
% 0.74/1.49 , X ) ), 'end_point'( X, Y ) ] )
% 0.74/1.49 , clause( 5429, [ ~( 'incident_c'( X, Y ) ), ~( 'part_of'( 'ax0_sk3'( Y, X
% 0.74/1.49 ), 'ax0_sk4'( Y, X ) ) ), 'end_point'( X, Y ) ] )
% 0.74/1.49 , clause( 5430, [ ~( 'incident_c'( X, Y ) ), ~( 'part_of'( 'ax0_sk4'( Y, X
% 0.74/1.49 ), 'ax0_sk3'( Y, X ) ) ), 'end_point'( X, Y ) ] )
% 0.74/1.49 , clause( 5431, [ ~( 'inner_point'( X, Y ) ), 'incident_c'( X, Y ) ] )
% 0.74/1.49 , clause( 5432, [ ~( 'inner_point'( X, Y ) ), ~( 'end_point'( X, Y ) ) ] )
% 0.74/1.49 , clause( 5433, [ ~( 'incident_c'( X, Y ) ), 'end_point'( X, Y ),
% 0.74/1.49 'inner_point'( X, Y ) ] )
% 0.74/1.49 , clause( 5434, [ ~( meet( X, Y, Z ) ), 'incident_c'( X, Y ) ] )
% 0.74/1.49 , clause( 5435, [ ~( meet( X, Y, Z ) ), 'incident_c'( X, Z ) ] )
% 0.74/1.49 , clause( 5436, [ ~( meet( X, Y, Z ) ), ~( 'incident_c'( T, Y ) ), ~(
% 0.74/1.49 'incident_c'( T, Z ) ), 'end_point'( T, Y ) ] )
% 0.74/1.49 , clause( 5437, [ ~( meet( X, Y, Z ) ), ~( 'incident_c'( T, Y ) ), ~(
% 0.74/1.49 'incident_c'( T, Z ) ), 'end_point'( T, Z ) ] )
% 0.74/1.49 , clause( 5438, [ ~( 'incident_c'( X, Y ) ), ~( 'incident_c'( X, Z ) ),
% 0.74/1.49 'incident_c'( 'ax0_sk5'( Z, Y, X ), Y ), meet( X, Y, Z ) ] )
% 0.74/1.49 , clause( 5439, [ ~( 'incident_c'( X, Y ) ), ~( 'incident_c'( X, Z ) ),
% 0.74/1.49 'incident_c'( 'ax0_sk5'( Z, Y, X ), Z ), meet( X, Y, Z ) ] )
% 0.74/1.49 , clause( 5440, [ ~( 'incident_c'( X, Y ) ), ~( 'incident_c'( X, Z ) ), ~(
% 0.74/1.49 'end_point'( 'ax0_sk5'( Z, Y, X ), Y ) ), ~( 'end_point'( 'ax0_sk5'( Z, Y
% 0.74/1.49 , X ), Z ) ), meet( X, Y, Z ) ] )
% 0.74/1.49 , clause( 5441, [ ~( closed( X ) ), ~( 'end_point'( Y, X ) ) ] )
% 0.74/1.49 , clause( 5442, [ 'end_point'( 'ax0_sk6'( X ), X ), closed( X ) ] )
% 0.74/1.49 , clause( 5443, [ ~( open( X ) ), 'end_point'( 'ax0_sk7'( X ), X ) ] )
% 0.74/1.49 , clause( 5444, [ ~( 'end_point'( X, Y ) ), open( Y ) ] )
% 0.74/1.49 , clause( 5445, [ ~( 'part_of'( X, Y ) ), =( X, Y ), open( X ) ] )
% 0.74/1.49 , clause( 5446, [ ~( 'part_of'( X, Y ) ), ~( 'part_of'( Z, Y ) ), ~(
% 0.74/1.49 'part_of'( T, Y ) ), ~( 'end_point'( U, X ) ), ~( 'end_point'( U, Z ) ),
% 0.74/1.49 ~( 'end_point'( U, T ) ), 'part_of'( Z, T ), 'part_of'( T, Z ), 'part_of'(
% 0.74/1.49 X, Z ), 'part_of'( Z, X ), 'part_of'( X, T ), 'part_of'( T, X ) ] )
% 0.74/1.49 , clause( 5447, [ 'inner_point'( 'ax0_sk8'( X ), X ) ] )
% 0.74/1.49 , clause( 5448, [ ~( 'inner_point'( X, Y ) ), meet( X, 'ax0_sk9'( X, Y ),
% 0.74/1.49 'ax0_sk10'( X, Y ) ) ] )
% 0.74/1.49 , clause( 5449, [ ~( 'inner_point'( X, Y ) ), =( Y, sum( 'ax0_sk9'( X, Y )
% 0.74/1.49 , 'ax0_sk10'( X, Y ) ) ) ] )
% 0.74/1.49 , clause( 5450, [ ~( 'end_point'( X, Y ) ), ~( 'end_point'( Z, Y ) ), ~(
% 0.74/1.49 'end_point'( T, Y ) ), =( X, Z ), =( X, T ), =( Z, T ) ] )
% 0.74/1.49 , clause( 5451, [ ~( 'end_point'( X, Y ) ), 'end_point'( 'ax0_sk11'( X, Y )
% 0.74/1.49 , Y ) ] )
% 0.74/1.49 , clause( 5452, [ ~( 'end_point'( X, Y ) ), ~( =( X, 'ax0_sk11'( X, Y ) ) )
% 0.74/1.49 ] )
% 0.74/1.49 , clause( 5453, [ ~( closed( X ) ), ~( meet( Y, Z, T ) ), ~( =( X, sum( Z,
% 0.74/1.49 T ) ) ), ~( 'end_point'( U, Z ) ), meet( U, Z, T ) ] )
% 0.74/1.49 , clause( 5454, [ ~( meet( X, Y, Z ) ), =( 'ax0_sk12'( Z, Y ), sum( Y, Z )
% 0.74/1.49 ) ] )
% 0.74/1.49 , clause( 5455, [ 'incident_c'( 'ax0_sk13'( X, Y ), Y ), 'incident_c'(
% 0.74/1.49 'ax0_sk13'( X, Y ), X ), =( Y, X ) ] )
% 0.74/1.49 , clause( 5456, [ 'incident_c'( 'ax0_sk13'( X, Y ), Y ), ~( 'incident_c'(
% 0.74/1.49 'ax0_sk13'( X, Y ), Y ) ), =( Y, X ) ] )
% 0.74/1.49 , clause( 5457, [ ~( 'incident_c'( 'ax0_sk13'( X, Y ), X ) ), 'incident_c'(
% 0.74/1.49 'ax0_sk13'( X, Y ), X ), =( Y, X ) ] )
% 0.74/1.49 , clause( 5458, [ ~( 'incident_c'( 'ax0_sk13'( X, Y ), X ) ), ~(
% 0.74/1.49 'incident_c'( 'ax0_sk13'( X, Y ), Y ) ), =( Y, X ) ] )
% 0.74/1.49 , clause( 5459, [ ~( 'between_c'( X, Y, Z, T ) ), ~( =( Y, T ) ) ] )
% 0.74/1.49 , clause( 5460, [ ~( 'between_c'( X, Y, Z, T ) ), 'part_of'( 'ax1_sk1'( T,
% 0.74/1.49 Z, Y, X ), X ) ] )
% 0.74/1.49 , clause( 5461, [ ~( 'between_c'( X, Y, Z, T ) ), 'end_point'( Y, 'ax1_sk1'(
% 0.74/1.49 T, Z, Y, X ) ) ] )
% 0.74/1.49 , clause( 5462, [ ~( 'between_c'( X, Y, Z, T ) ), 'end_point'( T, 'ax1_sk1'(
% 0.74/1.49 T, Z, Y, X ) ) ] )
% 0.74/1.49 , clause( 5463, [ ~( 'between_c'( X, Y, Z, T ) ), 'inner_point'( Z,
% 0.74/1.49 'ax1_sk1'( T, Z, Y, X ) ) ] )
% 0.74/1.49 , clause( 5464, [ =( X, Y ), ~( 'part_of'( Z, T ) ), ~( 'end_point'( X, Z )
% 0.74/1.49 ), ~( 'end_point'( Y, Z ) ), ~( 'inner_point'( U, Z ) ), 'between_c'( T
% 0.74/1.49 , X, U, Y ) ] )
% 0.74/1.49 , clause( 5465, [ ~( 'between_o'( X, Y, Z, T ) ), 'ordered_by'( X, Y, Z ),
% 0.74/1.49 'ordered_by'( X, T, Z ) ] )
% 0.74/1.49 , clause( 5466, [ ~( 'between_o'( X, Y, Z, T ) ), 'ordered_by'( X, Y, Z ),
% 0.74/1.49 'ordered_by'( X, Z, Y ) ] )
% 0.74/1.49 , clause( 5467, [ ~( 'between_o'( X, Y, Z, T ) ), 'ordered_by'( X, Z, T ),
% 0.74/1.49 'ordered_by'( X, T, Z ) ] )
% 0.74/1.49 , clause( 5468, [ ~( 'between_o'( X, Y, Z, T ) ), 'ordered_by'( X, Z, T ),
% 0.74/1.49 'ordered_by'( X, Z, Y ) ] )
% 0.74/1.49 , clause( 5469, [ ~( 'ordered_by'( X, Y, Z ) ), ~( 'ordered_by'( X, Z, T )
% 0.74/1.49 ), 'between_o'( X, Y, Z, T ) ] )
% 0.74/1.49 , clause( 5470, [ ~( 'ordered_by'( X, Y, Z ) ), ~( 'ordered_by'( X, Z, T )
% 0.74/1.49 ), 'between_o'( X, T, Z, Y ) ] )
% 0.74/1.49 , clause( 5471, [ ~( 'start_point'( X, Y ) ), 'incident_o'( X, Y ) ] )
% 0.74/1.49 , clause( 5472, [ ~( 'start_point'( X, Y ) ), =( X, Z ), ~( 'incident_o'( Z
% 0.74/1.49 , Y ) ), 'ordered_by'( Y, X, Z ) ] )
% 0.74/1.49 , clause( 5473, [ ~( 'incident_o'( X, Y ) ), ~( =( X, 'ax2_sk1'( Y, X ) ) )
% 0.74/1.49 , 'start_point'( X, Y ) ] )
% 0.74/1.49 , clause( 5474, [ ~( 'incident_o'( X, Y ) ), 'incident_o'( 'ax2_sk1'( Y, X
% 0.74/1.49 ), Y ), 'start_point'( X, Y ) ] )
% 0.74/1.49 , clause( 5475, [ ~( 'incident_o'( X, Y ) ), ~( 'ordered_by'( Y, X,
% 0.74/1.49 'ax2_sk1'( Y, X ) ) ), 'start_point'( X, Y ) ] )
% 0.74/1.49 , clause( 5476, [ ~( 'finish_point'( X, Y ) ), 'incident_o'( X, Y ) ] )
% 0.74/1.49 , clause( 5477, [ ~( 'finish_point'( X, Y ) ), =( X, Z ), ~( 'incident_o'(
% 0.74/1.49 Z, Y ) ), 'ordered_by'( Y, Z, X ) ] )
% 0.74/1.49 , clause( 5478, [ ~( 'incident_o'( X, Y ) ), ~( =( X, 'ax2_sk2'( Y, X ) ) )
% 0.74/1.49 , 'finish_point'( X, Y ) ] )
% 0.74/1.49 , clause( 5479, [ ~( 'incident_o'( X, Y ) ), 'incident_o'( 'ax2_sk2'( Y, X
% 0.74/1.49 ), Y ), 'finish_point'( X, Y ) ] )
% 0.74/1.49 , clause( 5480, [ ~( 'incident_o'( X, Y ) ), ~( 'ordered_by'( Y, 'ax2_sk2'(
% 0.74/1.49 Y, X ), X ) ), 'finish_point'( X, Y ) ] )
% 0.74/1.49 , clause( 5481, [ ~( 'ordered_by'( X, Y, Z ) ), 'incident_o'( Y, X ) ] )
% 0.74/1.49 , clause( 5482, [ ~( 'ordered_by'( X, Y, Z ) ), 'incident_o'( Z, X ) ] )
% 0.74/1.49 , clause( 5483, [ open( 'ax2_sk3'( X ) ) ] )
% 0.74/1.49 , clause( 5484, [ ~( 'incident_o'( X, Y ) ), 'incident_c'( X, 'ax2_sk3'( Y
% 0.74/1.49 ) ) ] )
% 0.74/1.49 , clause( 5485, [ ~( 'incident_c'( X, 'ax2_sk3'( Y ) ) ), 'incident_o'( X,
% 0.74/1.49 Y ) ] )
% 0.74/1.49 , clause( 5486, [ ~( 'between_o'( X, Y, Z, T ) ), ~( 'incident_o'( U, X ) )
% 0.74/1.49 , 'incident_c'( U, 'ax2_sk4'( X, T, Z, Y ) ) ] )
% 0.74/1.49 , clause( 5487, [ ~( 'between_o'( X, Y, Z, T ) ), ~( 'incident_c'( U,
% 0.74/1.49 'ax2_sk4'( X, T, Z, Y ) ) ), 'incident_o'( U, X ) ] )
% 0.74/1.49 , clause( 5488, [ ~( 'between_o'( X, Y, Z, T ) ), 'between_c'( 'ax2_sk4'( X
% 0.74/1.49 , T, Z, Y ), Y, Z, T ) ] )
% 0.74/1.49 , clause( 5489, [ 'incident_o'( 'ax2_sk5'( X, Y, Z, T, U ), Y ),
% 0.74/1.49 'incident_c'( 'ax2_sk5'( X, Y, Z, T, U ), X ), ~( 'between_c'( X, U, T, Z
% 0.74/1.49 ) ), 'between_o'( Y, U, T, Z ) ] )
% 0.74/1.49 , clause( 5490, [ 'incident_o'( 'ax2_sk5'( X, Y, Z, T, U ), Y ), ~(
% 0.74/1.49 'incident_o'( 'ax2_sk5'( X, Y, Z, T, U ), Y ) ), ~( 'between_c'( X, U, T
% 0.74/1.49 , Z ) ), 'between_o'( Y, U, T, Z ) ] )
% 0.74/1.49 , clause( 5491, [ ~( 'incident_c'( 'ax2_sk5'( X, Y, Z, T, U ), X ) ),
% 0.74/1.49 'incident_c'( 'ax2_sk5'( X, Y, Z, T, U ), X ), ~( 'between_c'( X, U, T, Z
% 0.74/1.49 ) ), 'between_o'( Y, U, T, Z ) ] )
% 0.74/1.49 , clause( 5492, [ ~( 'incident_c'( 'ax2_sk5'( X, Y, Z, T, U ), X ) ), ~(
% 0.74/1.49 'incident_o'( 'ax2_sk5'( X, Y, Z, T, U ), Y ) ), ~( 'between_c'( X, U, T
% 0.74/1.49 , Z ) ), 'between_o'( Y, U, T, Z ) ] )
% 0.74/1.49 , clause( 5493, [ 'start_point'( 'ax2_sk6'( X ), X ) ] )
% 0.74/1.49 , clause( 5494, [ ~( open( X ) ), =( Y, Z ), ~( 'incident_c'( Y, X ) ), ~(
% 0.74/1.49 'incident_c'( Z, X ) ), ~( 'incident_o'( T, 'ax2_sk7'( X, Z, Y ) ) ),
% 0.74/1.49 'incident_c'( T, X ) ] )
% 0.74/1.49 , clause( 5495, [ ~( open( X ) ), =( Y, Z ), ~( 'incident_c'( Y, X ) ), ~(
% 0.74/1.49 'incident_c'( Z, X ) ), ~( 'incident_c'( T, X ) ), 'incident_o'( T,
% 0.74/1.49 'ax2_sk7'( X, Z, Y ) ) ] )
% 0.74/1.49 , clause( 5496, [ ~( open( X ) ), =( Y, Z ), ~( 'incident_c'( Y, X ) ), ~(
% 0.74/1.49 'incident_c'( Z, X ) ), 'ordered_by'( 'ax2_sk7'( X, Z, Y ), Y, Z ) ] )
% 0.74/1.49 , clause( 5497, [ 'ordered_by'( X, 'ax2_sk8'( Y, X ), 'ax2_sk9'( Y, X ) ),
% 0.74/1.49 'ordered_by'( Y, 'ax2_sk8'( Y, X ), 'ax2_sk9'( Y, X ) ), =( X, Y ) ] )
% 0.74/1.49 , clause( 5498, [ 'ordered_by'( X, 'ax2_sk8'( Y, X ), 'ax2_sk9'( Y, X ) ),
% 0.74/1.49 ~( 'ordered_by'( X, 'ax2_sk8'( Y, X ), 'ax2_sk9'( Y, X ) ) ), =( X, Y ) ]
% 0.74/1.49 )
% 0.74/1.49 , clause( 5499, [ ~( 'ordered_by'( X, 'ax2_sk8'( X, Y ), 'ax2_sk9'( X, Y )
% 0.74/1.49 ) ), 'ordered_by'( X, 'ax2_sk8'( X, Y ), 'ax2_sk9'( X, Y ) ), =( Y, X )
% 0.74/1.49 ] )
% 0.74/1.49 , clause( 5500, [ ~( 'ordered_by'( X, 'ax2_sk8'( X, Y ), 'ax2_sk9'( X, Y )
% 0.74/1.49 ) ), ~( 'ordered_by'( Y, 'ax2_sk8'( X, Y ), 'ax2_sk9'( X, Y ) ) ), =( Y
% 0.74/1.49 , X ) ] )
% 0.74/1.49 , clause( 5501, [ ~( =( X, 'underlying_curve'( Y ) ) ), ~( 'incident_o'( Z
% 0.74/1.49 , Y ) ), 'incident_c'( Z, X ) ] )
% 0.74/1.49 , clause( 5502, [ ~( =( X, 'underlying_curve'( Y ) ) ), ~( 'incident_c'( Z
% 0.74/1.49 , X ) ), 'incident_o'( Z, Y ) ] )
% 0.74/1.49 , clause( 5503, [ 'incident_o'( 'ax2_sk10'( X, Y ), X ), 'incident_c'(
% 0.74/1.49 'ax2_sk10'( X, Y ), Y ), =( Y, 'underlying_curve'( X ) ) ] )
% 0.74/1.49 , clause( 5504, [ 'incident_o'( 'ax2_sk10'( X, Y ), X ), ~( 'incident_o'(
% 0.74/1.49 'ax2_sk10'( X, Y ), X ) ), =( Y, 'underlying_curve'( X ) ) ] )
% 0.74/1.49 , clause( 5505, [ ~( 'incident_c'( 'ax2_sk10'( X, Y ), Y ) ), 'incident_c'(
% 0.74/1.49 'ax2_sk10'( X, Y ), Y ), =( Y, 'underlying_curve'( X ) ) ] )
% 0.74/1.49 , clause( 5506, [ ~( 'incident_c'( 'ax2_sk10'( X, Y ), Y ) ), ~(
% 0.74/1.49 'incident_o'( 'ax2_sk10'( X, Y ), X ) ), =( Y, 'underlying_curve'( X ) )
% 0.74/1.49 ] )
% 0.74/1.49 , clause( 5507, [ 'ordered_by'( sk25, sk26, sk26 ) ] )
% 0.74/1.49 ] ).
% 0.74/1.49
% 0.74/1.49
% 0.74/1.49
% 0.74/1.49 subsumption(
% 0.74/1.49 clause( 43, [ ~( 'between_c'( X, Y, Z, T ) ), ~( =( Y, T ) ) ] )
% 0.74/1.49 , clause( 5459, [ ~( 'between_c'( X, Y, Z, T ) ), ~( =( Y, T ) ) ] )
% 0.74/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.74/1.49 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.74/1.49
% 0.74/1.49
% 0.74/1.49 subsumption(
% 0.74/1.49 clause( 53, [ ~( 'ordered_by'( X, Y, Z ) ), ~( 'ordered_by'( X, Z, T ) ),
% 0.74/1.49 'between_o'( X, Y, Z, T ) ] )
% 0.74/1.49 , clause( 5469, [ ~( 'ordered_by'( X, Y, Z ) ), ~( 'ordered_by'( X, Z, T )
% 0.74/1.49 ), 'between_o'( X, Y, Z, T ) ] )
% 0.74/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.74/1.49 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.74/1.49
% 0.74/1.49
% 0.74/1.49 subsumption(
% 0.74/1.49 clause( 72, [ ~( 'between_o'( X, Y, Z, T ) ), 'between_c'( 'ax2_sk4'( X, T
% 0.74/1.49 , Z, Y ), Y, Z, T ) ] )
% 0.74/1.49 , clause( 5488, [ ~( 'between_o'( X, Y, Z, T ) ), 'between_c'( 'ax2_sk4'( X
% 0.74/1.49 , T, Z, Y ), Y, Z, T ) ] )
% 0.74/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.74/1.49 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.74/1.49
% 0.74/1.49
% 0.74/1.49 subsumption(
% 0.74/1.49 clause( 85, [ 'ordered_by'( sk25, sk26, sk26 ) ] )
% 0.74/1.49 , clause( 5507, [ 'ordered_by'( sk25, sk26, sk26 ) ] )
% 0.74/1.49 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.49
% 0.74/1.49
% 0.74/1.49 eqswap(
% 0.74/1.49 clause( 5814, [ ~( =( Y, X ) ), ~( 'between_c'( Z, X, T, Y ) ) ] )
% 0.74/1.49 , clause( 43, [ ~( 'between_c'( X, Y, Z, T ) ), ~( =( Y, T ) ) ] )
% 0.74/1.49 , 1, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, T ), :=( T, Y )] )
% 0.74/1.49 ).
% 0.74/1.49
% 0.74/1.49
% 0.74/1.49 eqrefl(
% 0.74/1.49 clause( 5815, [ ~( 'between_c'( Y, X, Z, X ) ) ] )
% 0.74/1.49 , clause( 5814, [ ~( =( Y, X ) ), ~( 'between_c'( Z, X, T, Y ) ) ] )
% 0.74/1.49 , 0, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )
% 0.74/1.49 ).
% 0.74/1.49
% 0.74/1.49
% 0.74/1.49 subsumption(
% 0.74/1.49 clause( 106, [ ~( 'between_c'( X, Y, Z, Y ) ) ] )
% 0.74/1.49 , clause( 5815, [ ~( 'between_c'( Y, X, Z, X ) ) ] )
% 0.74/1.49 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.74/1.49 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.49
% 0.74/1.49
% 0.74/1.49 resolution(
% 0.74/1.49 clause( 5816, [ 'between_c'( 'ax2_sk4'( X, T, Z, Y ), Y, Z, T ), ~(
% 0.74/1.49 'ordered_by'( X, Y, Z ) ), ~( 'ordered_by'( X, Z, T ) ) ] )
% 0.74/1.49 , clause( 72, [ ~( 'between_o'( X, Y, Z, T ) ), 'between_c'( 'ax2_sk4'( X,
% 0.74/1.49 T, Z, Y ), Y, Z, T ) ] )
% 0.74/1.49 , 0, clause( 53, [ ~( 'ordered_by'( X, Y, Z ) ), ~( 'ordered_by'( X, Z, T )
% 0.74/1.49 ), 'between_o'( X, Y, Z, T ) ] )
% 0.74/1.49 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.74/1.49 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.74/1.49
% 0.74/1.49
% 0.74/1.49 subsumption(
% 0.74/1.49 clause( 5381, [ 'between_c'( 'ax2_sk4'( X, Y, Z, T ), T, Z, Y ), ~(
% 0.74/1.49 'ordered_by'( X, T, Z ) ), ~( 'ordered_by'( X, Z, Y ) ) ] )
% 0.74/1.49 , clause( 5816, [ 'between_c'( 'ax2_sk4'( X, T, Z, Y ), Y, Z, T ), ~(
% 0.74/1.49 'ordered_by'( X, Y, Z ) ), ~( 'ordered_by'( X, Z, T ) ) ] )
% 0.74/1.49 , substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Z ), :=( T, Y )] ),
% 0.74/1.49 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.74/1.49
% 0.74/1.49
% 0.74/1.49 factor(
% 0.74/1.49 clause( 5818, [ 'between_c'( 'ax2_sk4'( X, Y, Y, Y ), Y, Y, Y ), ~(
% 0.74/1.49 'ordered_by'( X, Y, Y ) ) ] )
% 0.74/1.49 , clause( 5381, [ 'between_c'( 'ax2_sk4'( X, Y, Z, T ), T, Z, Y ), ~(
% 0.74/1.49 'ordered_by'( X, T, Z ) ), ~( 'ordered_by'( X, Z, Y ) ) ] )
% 0.74/1.49 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, Y )] )
% 0.74/1.49 ).
% 0.74/1.49
% 0.74/1.49
% 0.74/1.49 resolution(
% 0.74/1.49 clause( 5819, [ ~( 'ordered_by'( X, Y, Y ) ) ] )
% 0.74/1.49 , clause( 106, [ ~( 'between_c'( X, Y, Z, Y ) ) ] )
% 0.74/1.49 , 0, clause( 5818, [ 'between_c'( 'ax2_sk4'( X, Y, Y, Y ), Y, Y, Y ), ~(
% 0.74/1.49 'ordered_by'( X, Y, Y ) ) ] )
% 0.74/1.49 , 0, substitution( 0, [ :=( X, 'ax2_sk4'( X, Y, Y, Y ) ), :=( Y, Y ), :=( Z
% 0.74/1.49 , Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.49
% 0.74/1.49
% 0.74/1.49 subsumption(
% 0.74/1.49 clause( 5404, [ ~( 'ordered_by'( X, Y, Y ) ) ] )
% 0.74/1.49 , clause( 5819, [ ~( 'ordered_by'( X, Y, Y ) ) ] )
% 0.74/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.49 )] ) ).
% 0.74/1.49
% 0.74/1.49
% 0.74/1.49 resolution(
% 0.74/1.49 clause( 5820, [] )
% 0.74/1.49 , clause( 5404, [ ~( 'ordered_by'( X, Y, Y ) ) ] )
% 0.74/1.49 , 0, clause( 85, [ 'ordered_by'( sk25, sk26, sk26 ) ] )
% 0.74/1.49 , 0, substitution( 0, [ :=( X, sk25 ), :=( Y, sk26 )] ), substitution( 1, [] )
% 0.74/1.49 ).
% 0.74/1.49
% 0.74/1.49
% 0.74/1.49 subsumption(
% 0.74/1.49 clause( 5409, [] )
% 0.74/1.49 , clause( 5820, [] )
% 0.74/1.49 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.74/1.49
% 0.74/1.49
% 0.74/1.49 end.
% 0.74/1.49
% 0.74/1.49 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.49
% 0.74/1.49 Memory use:
% 0.74/1.49
% 0.74/1.49 space for terms: 101150
% 0.74/1.49 space for clauses: 257943
% 0.74/1.49
% 0.74/1.49
% 0.74/1.49 clauses generated: 22194
% 0.74/1.49 clauses kept: 5410
% 0.74/1.49 clauses selected: 277
% 0.74/1.49 clauses deleted: 7
% 0.74/1.49 clauses inuse deleted: 7
% 0.74/1.49
% 0.74/1.49 subsentry: 26389
% 0.74/1.49 literals s-matched: 21296
% 0.74/1.49 literals matched: 19707
% 0.74/1.49 full subsumption: 8258
% 0.74/1.49
% 0.74/1.49 checksum: 1030676637
% 0.74/1.49
% 0.74/1.49
% 0.74/1.49 Bliksem ended
%------------------------------------------------------------------------------