TSTP Solution File: SET019-3 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET019-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 22:45:32 EDT 2022
% Result : Unsatisfiable 3.46s 3.82s
% Output : Refutation 3.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET019-3 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n008.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Sun Jul 10 23:43:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.43/1.09 *** allocated 10000 integers for termspace/termends
% 0.43/1.09 *** allocated 10000 integers for clauses
% 0.43/1.09 *** allocated 10000 integers for justifications
% 0.43/1.09 Bliksem 1.12
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 Automatic Strategy Selection
% 0.43/1.09
% 0.43/1.09 Clauses:
% 0.43/1.09 [
% 0.43/1.09 [ ~( member( X, Y ) ), 'little_set'( X ) ],
% 0.43/1.09 [ 'little_set'( f1( X, Y ) ), =( X, Y ) ],
% 0.43/1.09 [ member( f1( X, Y ), X ), member( f1( X, Y ), Y ), =( X, Y ) ],
% 0.43/1.09 [ ~( member( f1( X, Y ), X ) ), ~( member( f1( X, Y ), Y ) ), =( X, Y )
% 0.43/1.09 ],
% 0.43/1.09 [ ~( member( X, 'non_ordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z ) ]
% 0.43/1.09 ,
% 0.43/1.09 [ member( X, 'non_ordered_pair'( Y, Z ) ), ~( 'little_set'( X ) ), ~(
% 0.43/1.09 =( X, Y ) ) ],
% 0.43/1.09 [ member( X, 'non_ordered_pair'( Y, Z ) ), ~( 'little_set'( X ) ), ~(
% 0.43/1.09 =( X, Z ) ) ],
% 0.43/1.09 [ 'little_set'( 'non_ordered_pair'( X, Y ) ) ],
% 0.43/1.09 [ =( 'singleton_set'( X ), 'non_ordered_pair'( X, X ) ) ],
% 0.43/1.09 [ =( 'ordered_pair'( X, Y ), 'non_ordered_pair'( 'singleton_set'( X ),
% 0.43/1.09 'non_ordered_pair'( X, Y ) ) ) ],
% 0.43/1.09 [ ~( 'ordered_pair_predicate'( X ) ), 'little_set'( f2( X ) ) ],
% 0.43/1.09 [ ~( 'ordered_pair_predicate'( X ) ), 'little_set'( f3( X ) ) ],
% 0.43/1.09 [ ~( 'ordered_pair_predicate'( X ) ), =( X, 'ordered_pair'( f2( X ), f3(
% 0.43/1.09 X ) ) ) ],
% 0.43/1.09 [ 'ordered_pair_predicate'( X ), ~( 'little_set'( Y ) ), ~( 'little_set'(
% 0.43/1.09 Z ) ), ~( =( X, 'ordered_pair'( Y, Z ) ) ) ],
% 0.43/1.09 [ ~( member( X, first( Y ) ) ), 'little_set'( f4( X, Y ) ) ],
% 0.43/1.09 [ ~( member( X, first( Y ) ) ), 'little_set'( f5( X, Y ) ) ],
% 0.43/1.09 [ ~( member( X, first( Y ) ) ), =( Y, 'ordered_pair'( f4( X, Y ), f5( X
% 0.43/1.09 , Y ) ) ) ],
% 0.43/1.09 [ ~( member( X, first( Y ) ) ), member( X, f4( X, Y ) ) ],
% 0.43/1.09 [ member( X, first( Y ) ), ~( 'little_set'( Z ) ), ~( 'little_set'( T )
% 0.43/1.09 ), ~( =( Y, 'ordered_pair'( Z, T ) ) ), ~( member( X, Z ) ) ],
% 0.43/1.09 [ ~( member( X, second( Y ) ) ), 'little_set'( f6( X, Y ) ) ],
% 0.43/1.09 [ ~( member( X, second( Y ) ) ), 'little_set'( f7( X, Y ) ) ],
% 0.43/1.09 [ ~( member( X, second( Y ) ) ), =( Y, 'ordered_pair'( f6( X, Y ), f7( X
% 0.43/1.09 , Y ) ) ) ],
% 0.43/1.09 [ ~( member( X, second( Y ) ) ), member( X, f7( X, Y ) ) ],
% 0.43/1.09 [ member( X, second( Y ) ), ~( 'little_set'( Z ) ), ~( 'little_set'( T )
% 0.43/1.09 ), ~( =( Y, 'ordered_pair'( Z, T ) ) ), ~( member( X, T ) ) ],
% 0.43/1.09 [ ~( member( X, estin ) ), 'ordered_pair_predicate'( X ) ],
% 0.43/1.09 [ ~( member( X, estin ) ), member( first( X ), second( X ) ) ],
% 0.43/1.09 [ member( X, estin ), ~( 'little_set'( X ) ), ~(
% 0.43/1.09 'ordered_pair_predicate'( X ) ), ~( member( first( X ), second( X ) ) ) ]
% 0.43/1.09 ,
% 0.43/1.09 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ],
% 0.43/1.09 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ],
% 0.43/1.09 [ member( X, intersection( Y, Z ) ), ~( member( X, Y ) ), ~( member( X,
% 0.43/1.09 Z ) ) ],
% 0.43/1.09 [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ],
% 0.43/1.09 [ member( X, complement( Y ) ), ~( 'little_set'( X ) ), member( X, Y ) ]
% 0.43/1.09 ,
% 0.43/1.09 [ =( union( X, Y ), complement( intersection( complement( X ),
% 0.43/1.09 complement( Y ) ) ) ) ],
% 0.43/1.09 [ ~( member( X, 'domain_of'( Y ) ) ), 'ordered_pair_predicate'( f8( X, Y
% 0.43/1.09 ) ) ],
% 0.43/1.09 [ ~( member( X, 'domain_of'( Y ) ) ), member( f8( X, Y ), Y ) ],
% 0.43/1.09 [ ~( member( X, 'domain_of'( Y ) ) ), =( X, first( f8( X, Y ) ) ) ],
% 0.43/1.09 [ member( X, 'domain_of'( Y ) ), ~( 'little_set'( X ) ), ~(
% 0.43/1.09 'ordered_pair_predicate'( Z ) ), ~( member( Z, Y ) ), ~( =( X, first( Z )
% 0.43/1.09 ) ) ],
% 0.43/1.09 [ ~( member( X, 'cross_product'( Y, Z ) ) ), 'ordered_pair_predicate'( X
% 0.43/1.09 ) ],
% 0.43/1.09 [ ~( member( X, 'cross_product'( Y, Z ) ) ), member( first( X ), Y ) ]
% 0.43/1.09 ,
% 0.43/1.09 [ ~( member( X, 'cross_product'( Y, Z ) ) ), member( second( X ), Z ) ]
% 0.43/1.09 ,
% 0.43/1.09 [ member( X, 'cross_product'( Y, Z ) ), ~( 'little_set'( X ) ), ~(
% 0.43/1.09 'ordered_pair_predicate'( X ) ), ~( member( first( X ), Y ) ), ~( member(
% 0.43/1.09 second( X ), Z ) ) ],
% 0.43/1.09 [ ~( member( X, converse( Y ) ) ), 'ordered_pair_predicate'( X ) ],
% 0.43/1.09 [ ~( member( X, converse( Y ) ) ), member( 'ordered_pair'( second( X ),
% 0.43/1.09 first( X ) ), Y ) ],
% 0.43/1.09 [ member( X, converse( Y ) ), ~( 'little_set'( X ) ), ~(
% 0.43/1.09 'ordered_pair_predicate'( X ) ), ~( member( 'ordered_pair'( second( X ),
% 0.43/1.09 first( X ) ), Y ) ) ],
% 0.43/1.09 [ ~( member( X, 'rotate_right'( Y ) ) ), 'little_set'( f9( X, Y ) ) ]
% 0.43/1.09 ,
% 0.43/1.09 [ ~( member( X, 'rotate_right'( Y ) ) ), 'little_set'( f10( X, Y ) ) ]
% 0.43/1.09 ,
% 0.43/1.09 [ ~( member( X, 'rotate_right'( Y ) ) ), 'little_set'( f11( X, Y ) ) ]
% 0.43/1.09 ,
% 0.43/1.09 [ ~( member( X, 'rotate_right'( Y ) ) ), =( X, 'ordered_pair'( f9( X, Y
% 0.43/1.09 ), 'ordered_pair'( f10( X, Y ), f11( X, Y ) ) ) ) ],
% 0.43/1.09 [ ~( member( X, 'rotate_right'( Y ) ) ), member( 'ordered_pair'( f10( X
% 0.43/1.09 , Y ), 'ordered_pair'( f11( X, Y ), f9( X, Y ) ) ), Y ) ],
% 0.43/1.09 [ member( X, 'rotate_right'( Y ) ), ~( 'little_set'( X ) ), ~(
% 0.43/1.09 'little_set'( Z ) ), ~( 'little_set'( T ) ), ~( 'little_set'( U ) ), ~(
% 0.43/1.09 =( X, 'ordered_pair'( Z, 'ordered_pair'( T, U ) ) ) ), ~( member(
% 0.43/1.09 'ordered_pair'( T, 'ordered_pair'( U, Z ) ), Y ) ) ],
% 0.43/1.09 [ ~( member( X, 'flip_range_of'( Y ) ) ), 'little_set'( f12( X, Y ) ) ]
% 0.43/1.09 ,
% 0.43/1.09 [ ~( member( X, 'flip_range_of'( Y ) ) ), 'little_set'( f13( X, Y ) ) ]
% 0.43/1.09 ,
% 0.43/1.09 [ ~( member( X, 'flip_range_of'( Y ) ) ), 'little_set'( f14( X, Y ) ) ]
% 0.43/1.09 ,
% 0.43/1.09 [ ~( member( X, 'flip_range_of'( Y ) ) ), =( X, 'ordered_pair'( f12( X,
% 0.43/1.09 Y ), 'ordered_pair'( f13( X, Y ), f14( X, Y ) ) ) ) ],
% 0.43/1.09 [ ~( member( X, 'flip_range_of'( Y ) ) ), member( 'ordered_pair'( f12( X
% 0.43/1.09 , Y ), 'ordered_pair'( f14( X, Y ), f13( X, Y ) ) ), Y ) ],
% 0.43/1.09 [ member( X, 'flip_range_of'( Y ) ), ~( 'little_set'( X ) ), ~(
% 0.43/1.09 'little_set'( Z ) ), ~( 'little_set'( T ) ), ~( 'little_set'( U ) ), ~(
% 0.43/1.09 =( X, 'ordered_pair'( Z, 'ordered_pair'( T, U ) ) ) ), ~( member(
% 0.43/1.09 'ordered_pair'( Z, 'ordered_pair'( U, T ) ), Y ) ) ],
% 0.43/1.09 [ =( successor( X ), union( X, 'singleton_set'( X ) ) ) ],
% 0.43/1.09 [ ~( member( X, 'empty_set' ) ) ],
% 0.43/1.09 [ member( X, 'universal_set' ), ~( 'little_set'( X ) ) ],
% 0.43/1.09 [ 'little_set'( infinity ) ],
% 0.43/1.09 [ member( 'empty_set', infinity ) ],
% 0.43/1.09 [ ~( member( X, infinity ) ), member( successor( X ), infinity ) ],
% 0.43/1.09 [ ~( member( X, sigma( Y ) ) ), member( f16( X, Y ), Y ) ],
% 0.43/1.09 [ ~( member( X, sigma( Y ) ) ), member( X, f16( X, Y ) ) ],
% 0.43/1.09 [ member( X, sigma( Y ) ), ~( member( Z, Y ) ), ~( member( X, Z ) ) ]
% 0.43/1.09 ,
% 0.43/1.09 [ ~( 'little_set'( X ) ), 'little_set'( sigma( X ) ) ],
% 0.43/1.09 [ ~( subset( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ],
% 0.43/1.09 [ subset( X, Y ), member( f17( X, Y ), X ) ],
% 0.43/1.09 [ subset( X, Y ), ~( member( f17( X, Y ), Y ) ) ],
% 0.43/1.09 [ ~( 'proper_subset'( X, Y ) ), subset( X, Y ) ],
% 0.43/1.09 [ ~( 'proper_subset'( X, Y ) ), ~( =( X, Y ) ) ],
% 0.43/1.09 [ 'proper_subset'( X, Y ), ~( subset( X, Y ) ), =( X, Y ) ],
% 0.43/1.09 [ ~( member( X, powerset( Y ) ) ), subset( X, Y ) ],
% 0.43/1.09 [ member( X, powerset( Y ) ), ~( 'little_set'( X ) ), ~( subset( X, Y )
% 0.43/1.09 ) ],
% 0.43/1.09 [ ~( 'little_set'( X ) ), 'little_set'( powerset( X ) ) ],
% 0.43/1.09 [ ~( relation( X ) ), ~( member( Y, X ) ), 'ordered_pair_predicate'( Y )
% 0.43/1.09 ],
% 0.43/1.09 [ relation( X ), member( f18( X ), X ) ],
% 0.43/1.09 [ relation( X ), ~( 'ordered_pair_predicate'( f18( X ) ) ) ],
% 0.43/1.09 [ ~( 'single_valued_set'( X ) ), ~( 'little_set'( Y ) ), ~( 'little_set'(
% 0.43/1.09 Z ) ), ~( 'little_set'( T ) ), ~( member( 'ordered_pair'( Y, Z ), X ) ),
% 0.43/1.09 ~( member( 'ordered_pair'( Y, T ), X ) ), =( Z, T ) ],
% 0.43/1.09 [ 'single_valued_set'( X ), 'little_set'( f19( X ) ) ],
% 0.43/1.09 [ 'single_valued_set'( X ), 'little_set'( f20( X ) ) ],
% 0.43/1.09 [ 'single_valued_set'( X ), 'little_set'( f21( X ) ) ],
% 0.43/1.09 [ 'single_valued_set'( X ), member( 'ordered_pair'( f19( X ), f20( X ) )
% 0.43/1.09 , X ) ],
% 0.43/1.09 [ 'single_valued_set'( X ), member( 'ordered_pair'( f19( X ), f21( X ) )
% 0.43/1.09 , X ) ],
% 0.43/1.09 [ 'single_valued_set'( X ), ~( =( f20( X ), f21( X ) ) ) ],
% 0.43/1.09 [ ~( function( X ) ), relation( X ) ],
% 0.43/1.09 [ ~( function( X ) ), 'single_valued_set'( X ) ],
% 0.43/1.09 [ function( X ), ~( relation( X ) ), ~( 'single_valued_set'( X ) ) ]
% 0.43/1.09 ,
% 0.43/1.09 [ ~( member( X, image( Y, Z ) ) ), 'ordered_pair_predicate'( f22( X, Y,
% 0.43/1.09 Z ) ) ],
% 0.43/1.09 [ ~( member( X, image( Y, Z ) ) ), member( f22( X, Y, Z ), Z ) ],
% 0.43/1.09 [ ~( member( X, image( Y, Z ) ) ), member( first( f22( X, Y, Z ) ), Y )
% 0.43/1.09 ],
% 0.43/1.09 [ ~( member( X, image( Y, Z ) ) ), =( second( f22( X, Y, Z ) ), X ) ]
% 0.43/1.09 ,
% 0.43/1.09 [ member( X, image( Y, Z ) ), ~( 'little_set'( X ) ), ~(
% 0.43/1.09 'ordered_pair_predicate'( T ) ), ~( member( T, Z ) ), ~( member( first( T
% 0.43/1.09 ), Y ) ), ~( =( second( T ), X ) ) ],
% 0.43/1.09 [ ~( 'little_set'( X ) ), ~( function( Y ) ), 'little_set'( image( X, Y
% 0.43/1.09 ) ) ],
% 0.43/1.09 [ ~( disjoint( X, Y ) ), ~( member( Z, X ) ), ~( member( Z, Y ) ) ],
% 0.43/1.09 [ disjoint( X, Y ), member( f23( X, Y ), X ) ],
% 0.43/1.09 [ disjoint( X, Y ), member( f23( X, Y ), Y ) ],
% 0.43/1.09 [ =( X, 'empty_set' ), member( f24( X ), X ) ],
% 0.43/1.09 [ =( X, 'empty_set' ), disjoint( f24( X ), X ) ],
% 0.43/1.09 [ function( f25 ) ],
% 0.43/1.09 [ ~( 'little_set'( X ) ), =( X, 'empty_set' ), member( f26( X ), X ) ]
% 0.43/1.09 ,
% 0.43/1.09 [ ~( 'little_set'( X ) ), =( X, 'empty_set' ), member( 'ordered_pair'( X
% 0.43/1.09 , f26( X ) ), f25 ) ],
% 0.43/1.09 [ ~( member( X, 'range_of'( Y ) ) ), 'ordered_pair_predicate'( f27( X, Y
% 0.43/1.09 ) ) ],
% 0.43/1.09 [ ~( member( X, 'range_of'( Y ) ) ), member( f27( X, Y ), Y ) ],
% 0.43/1.09 [ ~( member( X, 'range_of'( Y ) ) ), =( X, second( f27( X, Y ) ) ) ]
% 0.43/1.09 ,
% 0.43/1.09 [ member( X, 'range_of'( Y ) ), ~( 'little_set'( X ) ), ~(
% 0.43/1.09 'ordered_pair_predicate'( Z ) ), ~( member( Z, Y ) ), ~( =( X, second( Z
% 0.43/1.09 ) ) ) ],
% 0.43/1.09 [ ~( member( X, 'identity_relation' ) ), 'ordered_pair_predicate'( X ) ]
% 0.43/1.09 ,
% 0.43/1.09 [ ~( member( X, 'identity_relation' ) ), =( first( X ), second( X ) ) ]
% 0.43/1.09 ,
% 0.43/1.09 [ member( X, 'identity_relation' ), ~( 'little_set'( X ) ), ~(
% 0.43/1.09 'ordered_pair_predicate'( X ) ), ~( =( first( X ), second( X ) ) ) ],
% 0.43/1.09 [ =( restrict( X, Y ), intersection( X, 'cross_product'( Y,
% 0.43/1.09 'universal_set' ) ) ) ],
% 0.43/1.09 [ ~( 'one_to_one_function'( X ) ), function( X ) ],
% 0.43/1.09 [ ~( 'one_to_one_function'( X ) ), function( converse( X ) ) ],
% 0.43/1.09 [ 'one_to_one_function'( X ), ~( function( X ) ), ~( function( converse(
% 0.43/1.09 X ) ) ) ],
% 0.43/1.09 [ ~( member( X, apply( Y, Z ) ) ), 'ordered_pair_predicate'( f28( X, Y,
% 0.43/1.09 Z ) ) ],
% 0.43/1.09 [ ~( member( X, apply( Y, Z ) ) ), member( f28( X, Y, Z ), Y ) ],
% 0.43/1.09 [ ~( member( X, apply( Y, Z ) ) ), =( first( f28( X, Y, Z ) ), Z ) ]
% 0.43/1.09 ,
% 0.43/1.09 [ ~( member( X, apply( Y, Z ) ) ), member( X, second( f28( X, Y, Z ) ) )
% 0.43/1.09 ],
% 0.43/1.09 [ member( X, apply( Y, Z ) ), ~( 'ordered_pair_predicate'( T ) ), ~(
% 0.43/1.09 member( T, Y ) ), ~( =( first( T ), Z ) ), ~( member( X, second( T ) ) )
% 0.43/1.09 ],
% 0.43/1.09 [ =( 'apply_to_two_arguments'( X, Y, Z ), apply( X, 'ordered_pair'( Y, Z
% 0.43/1.09 ) ) ) ],
% 0.43/1.09 [ ~( maps( X, Y, Z ) ), function( X ) ],
% 0.43/1.09 [ ~( maps( X, Y, Z ) ), =( 'domain_of'( X ), Y ) ],
% 0.43/1.09 [ ~( maps( X, Y, Z ) ), subset( 'range_of'( X ), Z ) ],
% 0.43/1.09 [ maps( X, Y, Z ), ~( function( X ) ), ~( =( 'domain_of'( X ), Y ) ),
% 0.43/1.09 ~( subset( 'range_of'( X ), Z ) ) ],
% 0.43/1.09 [ ~( closed( X, Y ) ), 'little_set'( X ) ],
% 0.43/1.09 [ ~( closed( X, Y ) ), 'little_set'( Y ) ],
% 0.43/1.09 [ ~( closed( X, Y ) ), maps( Y, 'cross_product'( X, X ), X ) ],
% 0.43/1.09 [ closed( X, Y ), ~( 'little_set'( X ) ), ~( 'little_set'( Y ) ), ~(
% 0.43/1.09 maps( Y, 'cross_product'( X, X ), X ) ) ],
% 0.43/1.09 [ ~( member( X, compose( Y, Z ) ) ), 'little_set'( f29( X, Y, Z ) ) ]
% 0.43/1.09 ,
% 0.43/1.09 [ ~( member( X, compose( Y, Z ) ) ), 'little_set'( f30( X, Y, Z ) ) ]
% 0.43/1.09 ,
% 0.43/1.09 [ ~( member( X, compose( Y, Z ) ) ), 'little_set'( f31( X, Y, Z ) ) ]
% 0.43/1.09 ,
% 0.43/1.09 [ ~( member( X, compose( Y, Z ) ) ), =( X, 'ordered_pair'( f29( X, Y, Z
% 0.43/1.09 ), f30( X, Y, Z ) ) ) ],
% 0.43/1.09 [ ~( member( X, compose( Y, Z ) ) ), member( 'ordered_pair'( f29( X, Y,
% 0.43/1.09 Z ), f31( X, Y, Z ) ), Y ) ],
% 0.43/1.09 [ ~( member( X, compose( Y, Z ) ) ), member( 'ordered_pair'( f31( X, Y,
% 0.43/1.09 Z ), f30( X, Y, Z ) ), Z ) ],
% 0.43/1.09 [ member( X, compose( Y, Z ) ), ~( 'little_set'( X ) ), ~( 'little_set'(
% 0.43/1.09 T ) ), ~( 'little_set'( U ) ), ~( 'little_set'( W ) ), ~( =( X,
% 0.43/1.09 'ordered_pair'( T, U ) ) ), ~( member( 'ordered_pair'( T, W ), Y ) ), ~(
% 0.43/1.09 member( 'ordered_pair'( W, U ), Z ) ) ],
% 0.43/1.09 [ ~( homomorphism( X, Y, Z, T, U ) ), closed( Y, Z ) ],
% 0.43/1.09 [ ~( homomorphism( X, Y, Z, T, U ) ), closed( T, U ) ],
% 0.43/1.09 [ ~( homomorphism( X, Y, Z, T, U ) ), maps( X, Y, T ) ],
% 0.43/1.09 [ ~( homomorphism( X, Y, Z, T, U ) ), ~( member( W, Y ) ), ~( member( V0
% 0.43/1.09 , Y ) ), =( apply( X, 'apply_to_two_arguments'( Z, W, V0 ) ),
% 0.43/1.09 'apply_to_two_arguments'( U, apply( X, W ), apply( X, V0 ) ) ) ],
% 0.43/1.09 [ homomorphism( X, Y, Z, T, U ), ~( closed( Y, Z ) ), ~( closed( T, U )
% 0.43/1.09 ), ~( maps( X, Y, T ) ), member( f32( X, Y, Z, T, U ), Y ) ],
% 0.43/1.09 [ homomorphism( X, Y, Z, T, U ), ~( closed( Y, Z ) ), ~( closed( T, U )
% 0.43/1.09 ), ~( maps( X, Y, T ) ), member( f33( X, Y, Z, T, U ), Y ) ],
% 0.43/1.09 [ homomorphism( X, Y, Z, T, U ), ~( closed( Y, Z ) ), ~( closed( T, U )
% 3.46/3.82 ), ~( maps( X, Y, T ) ), ~( =( apply( X, 'apply_to_two_arguments'( Z,
% 3.46/3.82 f32( X, Y, Z, T, U ), f33( X, Y, Z, T, U ) ) ), 'apply_to_two_arguments'(
% 3.46/3.82 U, apply( X, f32( X, Y, Z, T, U ) ), apply( X, f33( X, Y, Z, T, U ) ) ) )
% 3.46/3.82 ) ],
% 3.46/3.82 [ ~( 'little_set'( X ) ), ~( 'little_set'( Y ) ), ~( =( 'ordered_pair'(
% 3.46/3.82 X, Z ), 'ordered_pair'( Y, T ) ) ), =( X, Y ) ],
% 3.46/3.82 [ ~( 'little_set'( X ) ), ~( 'little_set'( Y ) ), ~( =(
% 3.46/3.82 'non_ordered_pair'( Z, X ), 'non_ordered_pair'( Z, Y ) ) ), =( X, Y ) ]
% 3.46/3.82 ,
% 3.46/3.82 [ ~( 'little_set'( X ) ), ~( 'little_set'( Y ) ), ~( 'little_set'( Z ) )
% 3.46/3.82 , ~( 'little_set'( T ) ), ~( =( 'ordered_pair'( X, Y ), 'ordered_pair'( Z
% 3.46/3.82 , T ) ) ), =( Y, T ) ],
% 3.46/3.82 [ subset( b, a ) ],
% 3.46/3.82 [ subset( a, b ) ],
% 3.46/3.82 [ ~( =( a, b ) ) ]
% 3.46/3.82 ] .
% 3.46/3.82
% 3.46/3.82
% 3.46/3.82 percentage equality = 0.145161, percentage horn = 0.863946
% 3.46/3.82 This is a problem with some equality
% 3.46/3.82
% 3.46/3.82
% 3.46/3.82
% 3.46/3.82 Options Used:
% 3.46/3.82
% 3.46/3.82 useres = 1
% 3.46/3.82 useparamod = 1
% 3.46/3.82 useeqrefl = 1
% 3.46/3.82 useeqfact = 1
% 3.46/3.82 usefactor = 1
% 3.46/3.82 usesimpsplitting = 0
% 3.46/3.82 usesimpdemod = 5
% 3.46/3.82 usesimpres = 3
% 3.46/3.82
% 3.46/3.82 resimpinuse = 1000
% 3.46/3.82 resimpclauses = 20000
% 3.46/3.82 substype = eqrewr
% 3.46/3.82 backwardsubs = 1
% 3.46/3.82 selectoldest = 5
% 3.46/3.82
% 3.46/3.82 litorderings [0] = split
% 3.46/3.82 litorderings [1] = extend the termordering, first sorting on arguments
% 3.46/3.82
% 3.46/3.82 termordering = kbo
% 3.46/3.82
% 3.46/3.82 litapriori = 0
% 3.46/3.82 termapriori = 1
% 3.46/3.82 litaposteriori = 0
% 3.46/3.82 termaposteriori = 0
% 3.46/3.82 demodaposteriori = 0
% 3.46/3.82 ordereqreflfact = 0
% 3.46/3.82
% 3.46/3.82 litselect = negord
% 3.46/3.82
% 3.46/3.82 maxweight = 15
% 3.46/3.82 maxdepth = 30000
% 3.46/3.82 maxlength = 115
% 3.46/3.82 maxnrvars = 195
% 3.46/3.82 excuselevel = 1
% 3.46/3.82 increasemaxweight = 1
% 3.46/3.82
% 3.46/3.82 maxselected = 10000000
% 3.46/3.82 maxnrclauses = 10000000
% 3.46/3.82
% 3.46/3.82 showgenerated = 0
% 3.46/3.82 showkept = 0
% 3.46/3.82 showselected = 0
% 3.46/3.82 showdeleted = 0
% 3.46/3.82 showresimp = 1
% 3.46/3.82 showstatus = 2000
% 3.46/3.82
% 3.46/3.82 prologoutput = 1
% 3.46/3.82 nrgoals = 5000000
% 3.46/3.82 totalproof = 1
% 3.46/3.82
% 3.46/3.82 Symbols occurring in the translation:
% 3.46/3.82
% 3.46/3.82 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.46/3.82 . [1, 2] (w:1, o:63, a:1, s:1, b:0),
% 3.46/3.82 ! [4, 1] (w:0, o:32, a:1, s:1, b:0),
% 3.46/3.82 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.46/3.82 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.46/3.82 member [41, 2] (w:1, o:88, a:1, s:1, b:0),
% 3.46/3.82 'little_set' [42, 1] (w:1, o:37, a:1, s:1, b:0),
% 3.46/3.82 f1 [43, 2] (w:1, o:89, a:1, s:1, b:0),
% 3.46/3.82 'non_ordered_pair' [45, 2] (w:1, o:90, a:1, s:1, b:0),
% 3.46/3.82 'singleton_set' [46, 1] (w:1, o:41, a:1, s:1, b:0),
% 3.46/3.82 'ordered_pair' [47, 2] (w:1, o:91, a:1, s:1, b:0),
% 3.46/3.82 'ordered_pair_predicate' [48, 1] (w:1, o:42, a:1, s:1, b:0),
% 3.46/3.82 f2 [49, 1] (w:1, o:45, a:1, s:1, b:0),
% 3.46/3.82 f3 [50, 1] (w:1, o:50, a:1, s:1, b:0),
% 3.46/3.82 first [52, 1] (w:1, o:51, a:1, s:1, b:0),
% 3.46/3.82 f4 [53, 2] (w:1, o:92, a:1, s:1, b:0),
% 3.46/3.82 f5 [54, 2] (w:1, o:93, a:1, s:1, b:0),
% 3.46/3.82 second [56, 1] (w:1, o:52, a:1, s:1, b:0),
% 3.46/3.82 f6 [57, 2] (w:1, o:94, a:1, s:1, b:0),
% 3.46/3.82 f7 [58, 2] (w:1, o:95, a:1, s:1, b:0),
% 3.46/3.82 estin [59, 0] (w:1, o:24, a:1, s:1, b:0),
% 3.46/3.82 intersection [60, 2] (w:1, o:97, a:1, s:1, b:0),
% 3.46/3.82 complement [61, 1] (w:1, o:53, a:1, s:1, b:0),
% 3.46/3.82 union [62, 2] (w:1, o:98, a:1, s:1, b:0),
% 3.46/3.82 'domain_of' [63, 1] (w:1, o:55, a:1, s:1, b:0),
% 3.46/3.82 f8 [64, 2] (w:1, o:99, a:1, s:1, b:0),
% 3.46/3.82 'cross_product' [66, 2] (w:1, o:100, a:1, s:1, b:0),
% 3.46/3.82 converse [67, 1] (w:1, o:54, a:1, s:1, b:0),
% 3.46/3.82 'rotate_right' [68, 1] (w:1, o:38, a:1, s:1, b:0),
% 3.46/3.82 f9 [69, 2] (w:1, o:101, a:1, s:1, b:0),
% 3.46/3.82 f10 [70, 2] (w:1, o:102, a:1, s:1, b:0),
% 3.46/3.82 f11 [71, 2] (w:1, o:103, a:1, s:1, b:0),
% 3.46/3.82 'flip_range_of' [73, 1] (w:1, o:56, a:1, s:1, b:0),
% 3.46/3.82 f12 [74, 2] (w:1, o:104, a:1, s:1, b:0),
% 3.46/3.82 f13 [75, 2] (w:1, o:105, a:1, s:1, b:0),
% 3.46/3.82 f14 [76, 2] (w:1, o:106, a:1, s:1, b:0),
% 3.46/3.82 successor [77, 1] (w:1, o:57, a:1, s:1, b:0),
% 3.46/3.82 'empty_set' [78, 0] (w:1, o:25, a:1, s:1, b:0),
% 3.46/3.82 'universal_set' [79, 0] (w:1, o:26, a:1, s:1, b:0),
% 3.46/3.82 infinity [80, 0] (w:1, o:27, a:1, s:1, b:0),
% 3.46/3.82 sigma [81, 1] (w:1, o:58, a:1, s:1, b:0),
% 3.46/3.82 f16 [82, 2] (w:1, o:107, a:1, s:1, b:0),
% 3.46/3.82 subset [83, 2] (w:1, o:109, a:1, s:1, b:0),
% 3.46/3.82 f17 [84, 2] (w:1, o:110, a:1, s:1, b:0),
% 3.46/3.82 'proper_subset' [85, 2] (w:1, o:111, a:1, s:1, b:0),
% 3.46/3.82 powerset [86, 1] (w:1, o:60, a:1, s:1, b:0),
% 3.46/3.82 relation [87, 1] (w:1, o:39, a:1, s:1, b:0),
% 3.46/3.82 f18 [88, 1] (w:1, o:43, a:1, s:1, b:0),
% 3.46/3.82 'single_valued_set' [89, 1] (w:1, o:61, a:1, s:1, b:0),
% 3.46/3.82 f19 [90, 1] (w:1, o:44, a:1, s:1, b:0),
% 3.46/3.82 f20 [91, 1] (w:1, o:46, a:1, s:1, b:0),
% 3.46/3.82 f21 [92, 1] (w:1, o:47, a:1, s:1, b:0),
% 3.46/3.82 function [94, 1] (w:1, o:62, a:1, s:1, b:0),
% 3.46/3.82 image [95, 2] (w:1, o:96, a:1, s:1, b:0),
% 3.46/3.82 f22 [96, 3] (w:1, o:118, a:1, s:1, b:0),
% 3.46/3.82 disjoint [97, 2] (w:1, o:114, a:1, s:1, b:0),
% 3.46/3.82 f23 [98, 2] (w:1, o:115, a:1, s:1, b:0),
% 3.46/3.82 f24 [99, 1] (w:1, o:48, a:1, s:1, b:0),
% 3.46/3.82 f25 [100, 0] (w:1, o:28, a:1, s:1, b:0),
% 3.46/3.82 f26 [101, 1] (w:1, o:49, a:1, s:1, b:0),
% 3.46/3.82 'range_of' [102, 1] (w:1, o:40, a:1, s:1, b:0),
% 3.46/3.82 f27 [103, 2] (w:1, o:116, a:1, s:1, b:0),
% 3.46/3.82 'identity_relation' [104, 0] (w:1, o:29, a:1, s:1, b:0),
% 3.46/3.82 restrict [105, 2] (w:1, o:108, a:1, s:1, b:0),
% 3.46/3.82 'one_to_one_function' [106, 1] (w:1, o:59, a:1, s:1, b:0),
% 3.46/3.82 apply [107, 2] (w:1, o:117, a:1, s:1, b:0),
% 3.46/3.82 f28 [108, 3] (w:1, o:119, a:1, s:1, b:0),
% 3.46/3.82 'apply_to_two_arguments' [109, 3] (w:1, o:120, a:1, s:1, b:0),
% 3.46/3.82 maps [110, 3] (w:1, o:121, a:1, s:1, b:0),
% 3.46/3.82 closed [112, 2] (w:1, o:112, a:1, s:1, b:0),
% 3.46/3.82 compose [114, 2] (w:1, o:113, a:1, s:1, b:0),
% 3.46/3.82 f29 [115, 3] (w:1, o:122, a:1, s:1, b:0),
% 3.46/3.82 f30 [116, 3] (w:1, o:123, a:1, s:1, b:0),
% 3.46/3.82 f31 [117, 3] (w:1, o:124, a:1, s:1, b:0),
% 3.46/3.82 homomorphism [123, 5] (w:1, o:125, a:1, s:1, b:0),
% 3.46/3.82 f32 [124, 5] (w:1, o:126, a:1, s:1, b:0),
% 3.46/3.82 f33 [125, 5] (w:1, o:127, a:1, s:1, b:0),
% 3.46/3.82 b [126, 0] (w:1, o:31, a:1, s:1, b:0),
% 3.46/3.82 a [127, 0] (w:1, o:30, a:1, s:1, b:0).
% 3.46/3.82
% 3.46/3.82
% 3.46/3.82 Starting Search:
% 3.46/3.82
% 3.46/3.82 Resimplifying inuse:
% 3.46/3.82 Done
% 3.46/3.82
% 3.46/3.82
% 3.46/3.82 Intermediate Status:
% 3.46/3.82 Generated: 3696
% 3.46/3.82 Kept: 2078
% 3.46/3.82 Inuse: 91
% 3.46/3.82 Deleted: 0
% 3.46/3.82 Deletedinuse: 0
% 3.46/3.82
% 3.46/3.82 Resimplifying inuse:
% 3.46/3.82 Done
% 3.46/3.82
% 3.46/3.82 Resimplifying inuse:
% 3.46/3.82 Done
% 3.46/3.82
% 3.46/3.82
% 3.46/3.82 Intermediate Status:
% 3.46/3.82 Generated: 7199
% 3.46/3.82 Kept: 4134
% 3.46/3.82 Inuse: 149
% 3.46/3.82 Deleted: 2
% 3.46/3.82 Deletedinuse: 0
% 3.46/3.82
% 3.46/3.82 Resimplifying inuse:
% 3.46/3.82 Done
% 3.46/3.82
% 3.46/3.82 Resimplifying inuse:
% 3.46/3.82 Done
% 3.46/3.82
% 3.46/3.82
% 3.46/3.82 Intermediate Status:
% 3.46/3.82 Generated: 10851
% 3.46/3.82 Kept: 6221
% 3.46/3.82 Inuse: 213
% 3.46/3.82 Deleted: 18
% 3.46/3.82 Deletedinuse: 0
% 3.46/3.82
% 3.46/3.82 Resimplifying inuse:
% 3.46/3.82 Done
% 3.46/3.82
% 3.46/3.82 Resimplifying inuse:
% 3.46/3.82 Done
% 3.46/3.82
% 3.46/3.82
% 3.46/3.82 Intermediate Status:
% 3.46/3.82 Generated: 16438
% 3.46/3.82 Kept: 8248
% 3.46/3.82 Inuse: 259
% 3.46/3.82 Deleted: 18
% 3.46/3.82 Deletedinuse: 0
% 3.46/3.82
% 3.46/3.82 Resimplifying inuse:
% 3.46/3.82 Done
% 3.46/3.82
% 3.46/3.82 Resimplifying inuse:
% 3.46/3.82 Done
% 3.46/3.82
% 3.46/3.82
% 3.46/3.82 Intermediate Status:
% 3.46/3.82 Generated: 20114
% 3.46/3.82 Kept: 10920
% 3.46/3.82 Inuse: 293
% 3.46/3.82 Deleted: 18
% 3.46/3.82 Deletedinuse: 0
% 3.46/3.82
% 3.46/3.82 Resimplifying inuse:
% 3.46/3.82 Done
% 3.46/3.82
% 3.46/3.82 Resimplifying inuse:
% 3.46/3.82 Done
% 3.46/3.82
% 3.46/3.82
% 3.46/3.82 Intermediate Status:
% 3.46/3.82 Generated: 25456
% 3.46/3.82 Kept: 12924
% 3.46/3.82 Inuse: 346
% 3.46/3.82 Deleted: 23
% 3.46/3.82 Deletedinuse: 1
% 3.46/3.82
% 3.46/3.82 Resimplifying inuse:
% 3.46/3.82 Done
% 3.46/3.82
% 3.46/3.82 Resimplifying inuse:
% 3.46/3.82 Done
% 3.46/3.82
% 3.46/3.82
% 3.46/3.82 Intermediate Status:
% 3.46/3.82 Generated: 31730
% 3.46/3.82 Kept: 15210
% 3.46/3.82 Inuse: 380
% 3.46/3.82 Deleted: 32
% 3.46/3.82 Deletedinuse: 1
% 3.46/3.82
% 3.46/3.82 Resimplifying inuse:
% 3.46/3.82 Done
% 3.46/3.82
% 3.46/3.82 Resimplifying inuse:
% 3.46/3.82 Done
% 3.46/3.82
% 3.46/3.82
% 3.46/3.82 Intermediate Status:
% 3.46/3.82 Generated: 37572
% 3.46/3.82 Kept: 17739
% 3.46/3.82 Inuse: 413
% 3.46/3.82 Deleted: 179
% 3.46/3.82 Deletedinuse: 101
% 3.46/3.82
% 3.46/3.82 Resimplifying inuse:
% 3.46/3.82 Done
% 3.46/3.82
% 3.46/3.82 Resimplifying inuse:
% 3.46/3.82 Done
% 3.46/3.82
% 3.46/3.82
% 3.46/3.82 Intermediate Status:
% 3.46/3.82 Generated: 43928
% 3.46/3.82 Kept: 19786
% 3.46/3.82 Inuse: 460
% 3.46/3.82 Deleted: 207
% 3.46/3.82 Deletedinuse: 101
% 3.46/3.82
% 3.46/3.82 Resimplifying inuse:
% 3.46/3.82 Done
% 3.46/3.82
% 3.46/3.82 Resimplifying clauses:
% 3.46/3.82
% 3.46/3.82 Bliksems!, er is een bewijs:
% 3.46/3.82 % SZS status Unsatisfiable
% 3.46/3.82 % SZS output start Refutation
% 3.46/3.82
% 3.46/3.82 clause( 2, [ member( f1( X, Y ), X ), member( f1( X, Y ), Y ), =( X, Y ) ]
% 3.46/3.82 )
% 3.46/3.82 .
% 3.46/3.82 clause( 3, [ ~( member( f1( X, Y ), X ) ), ~( member( f1( X, Y ), Y ) ),
% 3.46/3.82 =( X, Y ) ] )
% 3.46/3.82 .
% 3.46/3.82 clause( 66, [ ~( subset( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ] )
% 3.46/3.82 .
% 3.46/3.82 clause( 144, [ subset( b, a ) ] )
% 3.46/3.82 .
% 3.46/3.82 clause( 145, [ subset( a, b ) ] )
% 3.46/3.82 .
% 3.46/3.82 clause( 146, [ ~( =( b, a ) ) ] )
% 3.46/3.82 .
% 3.46/3.82 clause( 259, [ ~( =( X, a ) ), member( f1( b, X ), b ), member( f1( b, X )
% 3.46/3.82 , X ) ] )
% 3.46/3.82 .
% 3.46/3.82 clause( 268, [ member( f1( b, a ), b ), member( f1( b, a ), a ) ] )
% 3.46/3.82 .
% 3.46/3.82 clause( 305, [ ~( =( X, a ) ), ~( member( f1( b, X ), b ) ), ~( member( f1(
% 3.46/3.82 b, X ), X ) ) ] )
% 3.46/3.82 .
% 3.46/3.82 clause( 312, [ ~( member( f1( b, a ), b ) ), ~( member( f1( b, a ), a ) ) ]
% 3.46/3.82 )
% 3.46/3.82 .
% 3.46/3.82 clause( 9316, [ ~( member( X, b ) ), member( X, a ) ] )
% 3.46/3.82 .
% 3.46/3.82 clause( 9317, [ ~( member( X, a ) ), member( X, b ) ] )
% 3.46/3.82 .
% 3.46/3.82 clause( 20097, [ ~( member( f1( b, a ), a ) ) ] )
% 3.46/3.82 .
% 3.46/3.82 clause( 20099, [] )
% 3.46/3.82 .
% 3.46/3.82
% 3.46/3.82
% 3.46/3.82 % SZS output end Refutation
% 3.46/3.82 found a proof!
% 3.46/3.82
% 3.46/3.82 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 3.46/3.82
% 3.46/3.82 initialclauses(
% 3.46/3.82 [ clause( 20101, [ ~( member( X, Y ) ), 'little_set'( X ) ] )
% 3.46/3.82 , clause( 20102, [ 'little_set'( f1( X, Y ) ), =( X, Y ) ] )
% 3.46/3.82 , clause( 20103, [ member( f1( X, Y ), X ), member( f1( X, Y ), Y ), =( X,
% 3.46/3.82 Y ) ] )
% 3.46/3.82 , clause( 20104, [ ~( member( f1( X, Y ), X ) ), ~( member( f1( X, Y ), Y )
% 3.46/3.82 ), =( X, Y ) ] )
% 3.46/3.82 , clause( 20105, [ ~( member( X, 'non_ordered_pair'( Y, Z ) ) ), =( X, Y )
% 3.46/3.82 , =( X, Z ) ] )
% 3.46/3.82 , clause( 20106, [ member( X, 'non_ordered_pair'( Y, Z ) ), ~( 'little_set'(
% 3.46/3.82 X ) ), ~( =( X, Y ) ) ] )
% 3.46/3.82 , clause( 20107, [ member( X, 'non_ordered_pair'( Y, Z ) ), ~( 'little_set'(
% 3.46/3.82 X ) ), ~( =( X, Z ) ) ] )
% 3.46/3.82 , clause( 20108, [ 'little_set'( 'non_ordered_pair'( X, Y ) ) ] )
% 3.46/3.82 , clause( 20109, [ =( 'singleton_set'( X ), 'non_ordered_pair'( X, X ) ) ]
% 3.46/3.82 )
% 3.46/3.82 , clause( 20110, [ =( 'ordered_pair'( X, Y ), 'non_ordered_pair'(
% 3.46/3.82 'singleton_set'( X ), 'non_ordered_pair'( X, Y ) ) ) ] )
% 3.46/3.82 , clause( 20111, [ ~( 'ordered_pair_predicate'( X ) ), 'little_set'( f2( X
% 3.46/3.82 ) ) ] )
% 3.46/3.82 , clause( 20112, [ ~( 'ordered_pair_predicate'( X ) ), 'little_set'( f3( X
% 3.46/3.82 ) ) ] )
% 3.46/3.82 , clause( 20113, [ ~( 'ordered_pair_predicate'( X ) ), =( X, 'ordered_pair'(
% 3.46/3.82 f2( X ), f3( X ) ) ) ] )
% 3.46/3.82 , clause( 20114, [ 'ordered_pair_predicate'( X ), ~( 'little_set'( Y ) ),
% 3.46/3.82 ~( 'little_set'( Z ) ), ~( =( X, 'ordered_pair'( Y, Z ) ) ) ] )
% 3.46/3.82 , clause( 20115, [ ~( member( X, first( Y ) ) ), 'little_set'( f4( X, Y ) )
% 3.46/3.82 ] )
% 3.46/3.82 , clause( 20116, [ ~( member( X, first( Y ) ) ), 'little_set'( f5( X, Y ) )
% 3.46/3.82 ] )
% 3.46/3.82 , clause( 20117, [ ~( member( X, first( Y ) ) ), =( Y, 'ordered_pair'( f4(
% 3.46/3.82 X, Y ), f5( X, Y ) ) ) ] )
% 3.46/3.82 , clause( 20118, [ ~( member( X, first( Y ) ) ), member( X, f4( X, Y ) ) ]
% 3.46/3.82 )
% 3.46/3.82 , clause( 20119, [ member( X, first( Y ) ), ~( 'little_set'( Z ) ), ~(
% 3.46/3.82 'little_set'( T ) ), ~( =( Y, 'ordered_pair'( Z, T ) ) ), ~( member( X, Z
% 3.46/3.82 ) ) ] )
% 3.46/3.82 , clause( 20120, [ ~( member( X, second( Y ) ) ), 'little_set'( f6( X, Y )
% 3.46/3.82 ) ] )
% 3.46/3.82 , clause( 20121, [ ~( member( X, second( Y ) ) ), 'little_set'( f7( X, Y )
% 3.46/3.82 ) ] )
% 3.46/3.82 , clause( 20122, [ ~( member( X, second( Y ) ) ), =( Y, 'ordered_pair'( f6(
% 3.46/3.82 X, Y ), f7( X, Y ) ) ) ] )
% 3.46/3.82 , clause( 20123, [ ~( member( X, second( Y ) ) ), member( X, f7( X, Y ) ) ]
% 3.46/3.82 )
% 3.46/3.82 , clause( 20124, [ member( X, second( Y ) ), ~( 'little_set'( Z ) ), ~(
% 3.46/3.82 'little_set'( T ) ), ~( =( Y, 'ordered_pair'( Z, T ) ) ), ~( member( X, T
% 3.46/3.82 ) ) ] )
% 3.46/3.82 , clause( 20125, [ ~( member( X, estin ) ), 'ordered_pair_predicate'( X ) ]
% 3.46/3.82 )
% 3.46/3.82 , clause( 20126, [ ~( member( X, estin ) ), member( first( X ), second( X )
% 3.46/3.82 ) ] )
% 3.46/3.82 , clause( 20127, [ member( X, estin ), ~( 'little_set'( X ) ), ~(
% 3.46/3.82 'ordered_pair_predicate'( X ) ), ~( member( first( X ), second( X ) ) ) ]
% 3.46/3.82 )
% 3.46/3.82 , clause( 20128, [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ]
% 3.46/3.82 )
% 3.46/3.82 , clause( 20129, [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ]
% 3.46/3.82 )
% 3.46/3.82 , clause( 20130, [ member( X, intersection( Y, Z ) ), ~( member( X, Y ) ),
% 3.46/3.82 ~( member( X, Z ) ) ] )
% 3.46/3.82 , clause( 20131, [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ]
% 3.46/3.82 )
% 3.46/3.82 , clause( 20132, [ member( X, complement( Y ) ), ~( 'little_set'( X ) ),
% 3.46/3.82 member( X, Y ) ] )
% 3.46/3.82 , clause( 20133, [ =( union( X, Y ), complement( intersection( complement(
% 3.46/3.82 X ), complement( Y ) ) ) ) ] )
% 3.46/3.82 , clause( 20134, [ ~( member( X, 'domain_of'( Y ) ) ),
% 3.46/3.82 'ordered_pair_predicate'( f8( X, Y ) ) ] )
% 3.46/3.82 , clause( 20135, [ ~( member( X, 'domain_of'( Y ) ) ), member( f8( X, Y ),
% 3.46/3.82 Y ) ] )
% 3.46/3.82 , clause( 20136, [ ~( member( X, 'domain_of'( Y ) ) ), =( X, first( f8( X,
% 3.46/3.82 Y ) ) ) ] )
% 3.46/3.82 , clause( 20137, [ member( X, 'domain_of'( Y ) ), ~( 'little_set'( X ) ),
% 3.46/3.82 ~( 'ordered_pair_predicate'( Z ) ), ~( member( Z, Y ) ), ~( =( X, first(
% 3.46/3.82 Z ) ) ) ] )
% 3.46/3.82 , clause( 20138, [ ~( member( X, 'cross_product'( Y, Z ) ) ),
% 3.46/3.82 'ordered_pair_predicate'( X ) ] )
% 3.46/3.82 , clause( 20139, [ ~( member( X, 'cross_product'( Y, Z ) ) ), member( first(
% 3.46/3.82 X ), Y ) ] )
% 3.46/3.82 , clause( 20140, [ ~( member( X, 'cross_product'( Y, Z ) ) ), member(
% 3.46/3.82 second( X ), Z ) ] )
% 3.46/3.82 , clause( 20141, [ member( X, 'cross_product'( Y, Z ) ), ~( 'little_set'( X
% 3.46/3.82 ) ), ~( 'ordered_pair_predicate'( X ) ), ~( member( first( X ), Y ) ),
% 3.46/3.82 ~( member( second( X ), Z ) ) ] )
% 3.46/3.82 , clause( 20142, [ ~( member( X, converse( Y ) ) ),
% 3.46/3.82 'ordered_pair_predicate'( X ) ] )
% 3.46/3.82 , clause( 20143, [ ~( member( X, converse( Y ) ) ), member( 'ordered_pair'(
% 3.46/3.82 second( X ), first( X ) ), Y ) ] )
% 3.46/3.82 , clause( 20144, [ member( X, converse( Y ) ), ~( 'little_set'( X ) ), ~(
% 3.46/3.82 'ordered_pair_predicate'( X ) ), ~( member( 'ordered_pair'( second( X ),
% 3.46/3.82 first( X ) ), Y ) ) ] )
% 3.46/3.82 , clause( 20145, [ ~( member( X, 'rotate_right'( Y ) ) ), 'little_set'( f9(
% 3.46/3.82 X, Y ) ) ] )
% 3.46/3.82 , clause( 20146, [ ~( member( X, 'rotate_right'( Y ) ) ), 'little_set'( f10(
% 3.46/3.82 X, Y ) ) ] )
% 3.46/3.82 , clause( 20147, [ ~( member( X, 'rotate_right'( Y ) ) ), 'little_set'( f11(
% 3.46/3.82 X, Y ) ) ] )
% 3.46/3.82 , clause( 20148, [ ~( member( X, 'rotate_right'( Y ) ) ), =( X,
% 3.46/3.82 'ordered_pair'( f9( X, Y ), 'ordered_pair'( f10( X, Y ), f11( X, Y ) ) )
% 3.46/3.82 ) ] )
% 3.46/3.82 , clause( 20149, [ ~( member( X, 'rotate_right'( Y ) ) ), member(
% 3.46/3.82 'ordered_pair'( f10( X, Y ), 'ordered_pair'( f11( X, Y ), f9( X, Y ) ) )
% 3.46/3.82 , Y ) ] )
% 3.46/3.82 , clause( 20150, [ member( X, 'rotate_right'( Y ) ), ~( 'little_set'( X ) )
% 3.46/3.82 , ~( 'little_set'( Z ) ), ~( 'little_set'( T ) ), ~( 'little_set'( U ) )
% 3.46/3.82 , ~( =( X, 'ordered_pair'( Z, 'ordered_pair'( T, U ) ) ) ), ~( member(
% 3.46/3.82 'ordered_pair'( T, 'ordered_pair'( U, Z ) ), Y ) ) ] )
% 3.46/3.82 , clause( 20151, [ ~( member( X, 'flip_range_of'( Y ) ) ), 'little_set'(
% 3.46/3.82 f12( X, Y ) ) ] )
% 3.46/3.82 , clause( 20152, [ ~( member( X, 'flip_range_of'( Y ) ) ), 'little_set'(
% 3.46/3.82 f13( X, Y ) ) ] )
% 3.46/3.82 , clause( 20153, [ ~( member( X, 'flip_range_of'( Y ) ) ), 'little_set'(
% 3.46/3.82 f14( X, Y ) ) ] )
% 3.46/3.82 , clause( 20154, [ ~( member( X, 'flip_range_of'( Y ) ) ), =( X,
% 3.46/3.82 'ordered_pair'( f12( X, Y ), 'ordered_pair'( f13( X, Y ), f14( X, Y ) ) )
% 3.46/3.82 ) ] )
% 3.46/3.82 , clause( 20155, [ ~( member( X, 'flip_range_of'( Y ) ) ), member(
% 3.46/3.82 'ordered_pair'( f12( X, Y ), 'ordered_pair'( f14( X, Y ), f13( X, Y ) ) )
% 3.46/3.82 , Y ) ] )
% 3.46/3.82 , clause( 20156, [ member( X, 'flip_range_of'( Y ) ), ~( 'little_set'( X )
% 3.46/3.82 ), ~( 'little_set'( Z ) ), ~( 'little_set'( T ) ), ~( 'little_set'( U )
% 3.46/3.82 ), ~( =( X, 'ordered_pair'( Z, 'ordered_pair'( T, U ) ) ) ), ~( member(
% 3.46/3.82 'ordered_pair'( Z, 'ordered_pair'( U, T ) ), Y ) ) ] )
% 3.46/3.82 , clause( 20157, [ =( successor( X ), union( X, 'singleton_set'( X ) ) ) ]
% 3.46/3.82 )
% 3.46/3.82 , clause( 20158, [ ~( member( X, 'empty_set' ) ) ] )
% 3.46/3.82 , clause( 20159, [ member( X, 'universal_set' ), ~( 'little_set'( X ) ) ]
% 3.46/3.82 )
% 3.46/3.82 , clause( 20160, [ 'little_set'( infinity ) ] )
% 3.46/3.82 , clause( 20161, [ member( 'empty_set', infinity ) ] )
% 3.46/3.82 , clause( 20162, [ ~( member( X, infinity ) ), member( successor( X ),
% 3.46/3.82 infinity ) ] )
% 3.46/3.82 , clause( 20163, [ ~( member( X, sigma( Y ) ) ), member( f16( X, Y ), Y ) ]
% 3.46/3.82 )
% 3.46/3.82 , clause( 20164, [ ~( member( X, sigma( Y ) ) ), member( X, f16( X, Y ) ) ]
% 3.46/3.82 )
% 3.46/3.82 , clause( 20165, [ member( X, sigma( Y ) ), ~( member( Z, Y ) ), ~( member(
% 3.46/3.82 X, Z ) ) ] )
% 3.46/3.82 , clause( 20166, [ ~( 'little_set'( X ) ), 'little_set'( sigma( X ) ) ] )
% 3.46/3.82 , clause( 20167, [ ~( subset( X, Y ) ), ~( member( Z, X ) ), member( Z, Y )
% 3.46/3.82 ] )
% 3.46/3.82 , clause( 20168, [ subset( X, Y ), member( f17( X, Y ), X ) ] )
% 3.46/3.82 , clause( 20169, [ subset( X, Y ), ~( member( f17( X, Y ), Y ) ) ] )
% 3.46/3.82 , clause( 20170, [ ~( 'proper_subset'( X, Y ) ), subset( X, Y ) ] )
% 3.46/3.82 , clause( 20171, [ ~( 'proper_subset'( X, Y ) ), ~( =( X, Y ) ) ] )
% 3.46/3.82 , clause( 20172, [ 'proper_subset'( X, Y ), ~( subset( X, Y ) ), =( X, Y )
% 3.46/3.82 ] )
% 3.46/3.82 , clause( 20173, [ ~( member( X, powerset( Y ) ) ), subset( X, Y ) ] )
% 3.46/3.82 , clause( 20174, [ member( X, powerset( Y ) ), ~( 'little_set'( X ) ), ~(
% 3.46/3.82 subset( X, Y ) ) ] )
% 3.46/3.82 , clause( 20175, [ ~( 'little_set'( X ) ), 'little_set'( powerset( X ) ) ]
% 3.46/3.82 )
% 3.46/3.82 , clause( 20176, [ ~( relation( X ) ), ~( member( Y, X ) ),
% 3.46/3.82 'ordered_pair_predicate'( Y ) ] )
% 3.46/3.82 , clause( 20177, [ relation( X ), member( f18( X ), X ) ] )
% 3.46/3.82 , clause( 20178, [ relation( X ), ~( 'ordered_pair_predicate'( f18( X ) ) )
% 3.46/3.82 ] )
% 3.46/3.82 , clause( 20179, [ ~( 'single_valued_set'( X ) ), ~( 'little_set'( Y ) ),
% 3.46/3.82 ~( 'little_set'( Z ) ), ~( 'little_set'( T ) ), ~( member( 'ordered_pair'(
% 3.46/3.82 Y, Z ), X ) ), ~( member( 'ordered_pair'( Y, T ), X ) ), =( Z, T ) ] )
% 3.46/3.82 , clause( 20180, [ 'single_valued_set'( X ), 'little_set'( f19( X ) ) ] )
% 3.46/3.82 , clause( 20181, [ 'single_valued_set'( X ), 'little_set'( f20( X ) ) ] )
% 3.46/3.82 , clause( 20182, [ 'single_valued_set'( X ), 'little_set'( f21( X ) ) ] )
% 3.46/3.82 , clause( 20183, [ 'single_valued_set'( X ), member( 'ordered_pair'( f19( X
% 3.46/3.82 ), f20( X ) ), X ) ] )
% 3.46/3.82 , clause( 20184, [ 'single_valued_set'( X ), member( 'ordered_pair'( f19( X
% 3.46/3.82 ), f21( X ) ), X ) ] )
% 3.46/3.82 , clause( 20185, [ 'single_valued_set'( X ), ~( =( f20( X ), f21( X ) ) ) ]
% 3.46/3.82 )
% 3.46/3.82 , clause( 20186, [ ~( function( X ) ), relation( X ) ] )
% 3.46/3.82 , clause( 20187, [ ~( function( X ) ), 'single_valued_set'( X ) ] )
% 3.46/3.82 , clause( 20188, [ function( X ), ~( relation( X ) ), ~(
% 3.46/3.82 'single_valued_set'( X ) ) ] )
% 3.46/3.82 , clause( 20189, [ ~( member( X, image( Y, Z ) ) ),
% 3.46/3.82 'ordered_pair_predicate'( f22( X, Y, Z ) ) ] )
% 3.46/3.82 , clause( 20190, [ ~( member( X, image( Y, Z ) ) ), member( f22( X, Y, Z )
% 3.46/3.82 , Z ) ] )
% 3.46/3.82 , clause( 20191, [ ~( member( X, image( Y, Z ) ) ), member( first( f22( X,
% 3.46/3.82 Y, Z ) ), Y ) ] )
% 3.46/3.82 , clause( 20192, [ ~( member( X, image( Y, Z ) ) ), =( second( f22( X, Y, Z
% 3.46/3.82 ) ), X ) ] )
% 3.46/3.82 , clause( 20193, [ member( X, image( Y, Z ) ), ~( 'little_set'( X ) ), ~(
% 3.46/3.82 'ordered_pair_predicate'( T ) ), ~( member( T, Z ) ), ~( member( first( T
% 3.46/3.82 ), Y ) ), ~( =( second( T ), X ) ) ] )
% 3.46/3.82 , clause( 20194, [ ~( 'little_set'( X ) ), ~( function( Y ) ), 'little_set'(
% 3.46/3.82 image( X, Y ) ) ] )
% 3.46/3.82 , clause( 20195, [ ~( disjoint( X, Y ) ), ~( member( Z, X ) ), ~( member( Z
% 3.46/3.82 , Y ) ) ] )
% 3.46/3.82 , clause( 20196, [ disjoint( X, Y ), member( f23( X, Y ), X ) ] )
% 3.46/3.82 , clause( 20197, [ disjoint( X, Y ), member( f23( X, Y ), Y ) ] )
% 3.46/3.82 , clause( 20198, [ =( X, 'empty_set' ), member( f24( X ), X ) ] )
% 3.46/3.82 , clause( 20199, [ =( X, 'empty_set' ), disjoint( f24( X ), X ) ] )
% 3.46/3.82 , clause( 20200, [ function( f25 ) ] )
% 3.46/3.82 , clause( 20201, [ ~( 'little_set'( X ) ), =( X, 'empty_set' ), member( f26(
% 3.46/3.82 X ), X ) ] )
% 3.46/3.82 , clause( 20202, [ ~( 'little_set'( X ) ), =( X, 'empty_set' ), member(
% 3.46/3.82 'ordered_pair'( X, f26( X ) ), f25 ) ] )
% 3.46/3.82 , clause( 20203, [ ~( member( X, 'range_of'( Y ) ) ),
% 3.46/3.82 'ordered_pair_predicate'( f27( X, Y ) ) ] )
% 3.46/3.82 , clause( 20204, [ ~( member( X, 'range_of'( Y ) ) ), member( f27( X, Y ),
% 3.46/3.82 Y ) ] )
% 3.46/3.82 , clause( 20205, [ ~( member( X, 'range_of'( Y ) ) ), =( X, second( f27( X
% 3.46/3.82 , Y ) ) ) ] )
% 3.46/3.82 , clause( 20206, [ member( X, 'range_of'( Y ) ), ~( 'little_set'( X ) ),
% 3.46/3.82 ~( 'ordered_pair_predicate'( Z ) ), ~( member( Z, Y ) ), ~( =( X, second(
% 3.46/3.82 Z ) ) ) ] )
% 3.46/3.82 , clause( 20207, [ ~( member( X, 'identity_relation' ) ),
% 3.46/3.82 'ordered_pair_predicate'( X ) ] )
% 3.46/3.82 , clause( 20208, [ ~( member( X, 'identity_relation' ) ), =( first( X ),
% 3.46/3.82 second( X ) ) ] )
% 3.46/3.82 , clause( 20209, [ member( X, 'identity_relation' ), ~( 'little_set'( X ) )
% 3.46/3.82 , ~( 'ordered_pair_predicate'( X ) ), ~( =( first( X ), second( X ) ) ) ]
% 3.46/3.82 )
% 3.46/3.82 , clause( 20210, [ =( restrict( X, Y ), intersection( X, 'cross_product'( Y
% 3.46/3.82 , 'universal_set' ) ) ) ] )
% 3.46/3.82 , clause( 20211, [ ~( 'one_to_one_function'( X ) ), function( X ) ] )
% 3.46/3.82 , clause( 20212, [ ~( 'one_to_one_function'( X ) ), function( converse( X )
% 3.46/3.82 ) ] )
% 3.46/3.82 , clause( 20213, [ 'one_to_one_function'( X ), ~( function( X ) ), ~(
% 3.46/3.82 function( converse( X ) ) ) ] )
% 3.46/3.82 , clause( 20214, [ ~( member( X, apply( Y, Z ) ) ),
% 3.46/3.82 'ordered_pair_predicate'( f28( X, Y, Z ) ) ] )
% 3.46/3.82 , clause( 20215, [ ~( member( X, apply( Y, Z ) ) ), member( f28( X, Y, Z )
% 3.46/3.82 , Y ) ] )
% 3.46/3.82 , clause( 20216, [ ~( member( X, apply( Y, Z ) ) ), =( first( f28( X, Y, Z
% 3.46/3.82 ) ), Z ) ] )
% 3.46/3.82 , clause( 20217, [ ~( member( X, apply( Y, Z ) ) ), member( X, second( f28(
% 3.46/3.82 X, Y, Z ) ) ) ] )
% 3.46/3.82 , clause( 20218, [ member( X, apply( Y, Z ) ), ~( 'ordered_pair_predicate'(
% 3.46/3.82 T ) ), ~( member( T, Y ) ), ~( =( first( T ), Z ) ), ~( member( X, second(
% 3.46/3.82 T ) ) ) ] )
% 3.46/3.82 , clause( 20219, [ =( 'apply_to_two_arguments'( X, Y, Z ), apply( X,
% 3.46/3.82 'ordered_pair'( Y, Z ) ) ) ] )
% 3.46/3.82 , clause( 20220, [ ~( maps( X, Y, Z ) ), function( X ) ] )
% 3.46/3.82 , clause( 20221, [ ~( maps( X, Y, Z ) ), =( 'domain_of'( X ), Y ) ] )
% 3.46/3.82 , clause( 20222, [ ~( maps( X, Y, Z ) ), subset( 'range_of'( X ), Z ) ] )
% 3.46/3.82 , clause( 20223, [ maps( X, Y, Z ), ~( function( X ) ), ~( =( 'domain_of'(
% 3.46/3.82 X ), Y ) ), ~( subset( 'range_of'( X ), Z ) ) ] )
% 3.46/3.82 , clause( 20224, [ ~( closed( X, Y ) ), 'little_set'( X ) ] )
% 3.46/3.82 , clause( 20225, [ ~( closed( X, Y ) ), 'little_set'( Y ) ] )
% 3.46/3.82 , clause( 20226, [ ~( closed( X, Y ) ), maps( Y, 'cross_product'( X, X ), X
% 3.46/3.82 ) ] )
% 3.46/3.82 , clause( 20227, [ closed( X, Y ), ~( 'little_set'( X ) ), ~( 'little_set'(
% 3.46/3.82 Y ) ), ~( maps( Y, 'cross_product'( X, X ), X ) ) ] )
% 3.46/3.82 , clause( 20228, [ ~( member( X, compose( Y, Z ) ) ), 'little_set'( f29( X
% 3.46/3.82 , Y, Z ) ) ] )
% 3.46/3.82 , clause( 20229, [ ~( member( X, compose( Y, Z ) ) ), 'little_set'( f30( X
% 3.46/3.82 , Y, Z ) ) ] )
% 3.46/3.82 , clause( 20230, [ ~( member( X, compose( Y, Z ) ) ), 'little_set'( f31( X
% 3.46/3.82 , Y, Z ) ) ] )
% 3.46/3.82 , clause( 20231, [ ~( member( X, compose( Y, Z ) ) ), =( X, 'ordered_pair'(
% 3.46/3.82 f29( X, Y, Z ), f30( X, Y, Z ) ) ) ] )
% 3.46/3.82 , clause( 20232, [ ~( member( X, compose( Y, Z ) ) ), member(
% 3.46/3.82 'ordered_pair'( f29( X, Y, Z ), f31( X, Y, Z ) ), Y ) ] )
% 3.46/3.82 , clause( 20233, [ ~( member( X, compose( Y, Z ) ) ), member(
% 3.46/3.82 'ordered_pair'( f31( X, Y, Z ), f30( X, Y, Z ) ), Z ) ] )
% 3.46/3.82 , clause( 20234, [ member( X, compose( Y, Z ) ), ~( 'little_set'( X ) ),
% 3.46/3.82 ~( 'little_set'( T ) ), ~( 'little_set'( U ) ), ~( 'little_set'( W ) ),
% 3.46/3.82 ~( =( X, 'ordered_pair'( T, U ) ) ), ~( member( 'ordered_pair'( T, W ), Y
% 3.46/3.82 ) ), ~( member( 'ordered_pair'( W, U ), Z ) ) ] )
% 3.46/3.82 , clause( 20235, [ ~( homomorphism( X, Y, Z, T, U ) ), closed( Y, Z ) ] )
% 3.46/3.82 , clause( 20236, [ ~( homomorphism( X, Y, Z, T, U ) ), closed( T, U ) ] )
% 3.46/3.82 , clause( 20237, [ ~( homomorphism( X, Y, Z, T, U ) ), maps( X, Y, T ) ] )
% 3.46/3.82 , clause( 20238, [ ~( homomorphism( X, Y, Z, T, U ) ), ~( member( W, Y ) )
% 3.46/3.82 , ~( member( V0, Y ) ), =( apply( X, 'apply_to_two_arguments'( Z, W, V0 )
% 3.46/3.82 ), 'apply_to_two_arguments'( U, apply( X, W ), apply( X, V0 ) ) ) ] )
% 3.46/3.82 , clause( 20239, [ homomorphism( X, Y, Z, T, U ), ~( closed( Y, Z ) ), ~(
% 3.46/3.82 closed( T, U ) ), ~( maps( X, Y, T ) ), member( f32( X, Y, Z, T, U ), Y )
% 3.46/3.82 ] )
% 3.46/3.82 , clause( 20240, [ homomorphism( X, Y, Z, T, U ), ~( closed( Y, Z ) ), ~(
% 3.46/3.82 closed( T, U ) ), ~( maps( X, Y, T ) ), member( f33( X, Y, Z, T, U ), Y )
% 3.46/3.82 ] )
% 3.46/3.82 , clause( 20241, [ homomorphism( X, Y, Z, T, U ), ~( closed( Y, Z ) ), ~(
% 3.46/3.82 closed( T, U ) ), ~( maps( X, Y, T ) ), ~( =( apply( X,
% 3.46/3.82 'apply_to_two_arguments'( Z, f32( X, Y, Z, T, U ), f33( X, Y, Z, T, U ) )
% 3.46/3.82 ), 'apply_to_two_arguments'( U, apply( X, f32( X, Y, Z, T, U ) ), apply(
% 3.46/3.82 X, f33( X, Y, Z, T, U ) ) ) ) ) ] )
% 3.46/3.82 , clause( 20242, [ ~( 'little_set'( X ) ), ~( 'little_set'( Y ) ), ~( =(
% 3.46/3.82 'ordered_pair'( X, Z ), 'ordered_pair'( Y, T ) ) ), =( X, Y ) ] )
% 3.46/3.82 , clause( 20243, [ ~( 'little_set'( X ) ), ~( 'little_set'( Y ) ), ~( =(
% 3.46/3.82 'non_ordered_pair'( Z, X ), 'non_ordered_pair'( Z, Y ) ) ), =( X, Y ) ]
% 3.46/3.82 )
% 3.46/3.82 , clause( 20244, [ ~( 'little_set'( X ) ), ~( 'little_set'( Y ) ), ~(
% 3.46/3.82 'little_set'( Z ) ), ~( 'little_set'( T ) ), ~( =( 'ordered_pair'( X, Y )
% 3.46/3.82 , 'ordered_pair'( Z, T ) ) ), =( Y, T ) ] )
% 3.46/3.82 , clause( 20245, [ subset( b, a ) ] )
% 3.46/3.82 , clause( 20246, [ subset( a, b ) ] )
% 3.46/3.82 , clause( 20247, [ ~( =( a, b ) ) ] )
% 3.46/3.82 ] ).
% 3.46/3.82
% 3.46/3.82
% 3.46/3.82
% 3.46/3.82 subsumption(
% 3.46/3.82 clause( 2, [ member( f1( X, Y ), X ), member( f1( X, Y ), Y ), =( X, Y ) ]
% 3.46/3.82 )
% 3.46/3.82 , clause( 20103, [ member( f1( X, Y ), X ), member( f1( X, Y ), Y ), =( X,
% 3.46/3.82 Y ) ] )
% 3.46/3.82 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.46/3.82 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 3.46/3.82
% 3.46/3.82
% 3.46/3.82 subsumption(
% 3.46/3.82 clause( 3, [ ~( member( f1( X, Y ), X ) ), ~( member( f1( X, Y ), Y ) ),
% 3.46/3.82 =( X, Y ) ] )
% 3.46/3.82 , clause( 20104, [ ~( member( f1( X, Y ), X ) ), ~( member( f1( X, Y ), Y )
% 3.46/3.82 ), =( X, Y ) ] )
% 3.46/3.82 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.46/3.82 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 3.46/3.82
% 3.46/3.82
% 3.46/3.82 subsumption(
% 3.46/3.82 clause( 66, [ ~( subset( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ] )
% 3.46/3.82 , clause( 20167, [ ~( subset( X, Y ) ), ~( member( Z, X ) ), member( Z, Y )
% 3.46/3.82 ] )
% 3.46/3.82 , substitution( 0, [ :=( X, X ), :=Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------