TSTP Solution File: CAT004-4 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : CAT004-4 : TPTP v8.1.0. Released v1.0.0.
% 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 : Thu Jul 14 23:54:09 EDT 2022
% Result : Unsatisfiable 0.77s 1.17s
% Output : Refutation 0.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : CAT004-4 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.14 % Command : bliksem %s
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Sun May 29 21:36:51 EDT 2022
% 0.13/0.36 % CPUTime :
% 0.77/1.17 *** allocated 10000 integers for termspace/termends
% 0.77/1.17 *** allocated 10000 integers for clauses
% 0.77/1.17 *** allocated 10000 integers for justifications
% 0.77/1.17 Bliksem 1.12
% 0.77/1.17
% 0.77/1.17
% 0.77/1.17 Automatic Strategy Selection
% 0.77/1.17
% 0.77/1.17 Clauses:
% 0.77/1.17 [
% 0.77/1.17 [ ~( equivalent( X, Y ) ), 'there_exists'( X ) ],
% 0.77/1.17 [ ~( equivalent( X, Y ) ), =( X, Y ) ],
% 0.77/1.17 [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X, Y ) ],
% 0.77/1.17 [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ],
% 0.77/1.17 [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X ) ],
% 0.77/1.17 [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( domain( X ) )
% 0.77/1.17 ],
% 0.77/1.17 [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ), codomain( Y )
% 0.77/1.17 ) ],
% 0.77/1.17 [ ~( 'there_exists'( domain( X ) ) ), ~( =( domain( X ), codomain( Y ) )
% 0.77/1.17 ), 'there_exists'( compose( X, Y ) ) ],
% 0.77/1.17 [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y ), Z ) ) ]
% 0.77/1.17 ,
% 0.77/1.17 [ =( compose( X, domain( X ) ), X ) ],
% 0.77/1.17 [ =( compose( codomain( X ), X ), X ) ],
% 0.77/1.17 [ 'there_exists'( compose( a, b ) ) ],
% 0.77/1.17 [ ~( =( compose( X, a ), Y ) ), ~( =( compose( Z, a ), Y ) ), =( X, Z )
% 0.77/1.17 ],
% 0.77/1.17 [ ~( =( compose( X, b ), Y ) ), ~( =( compose( Z, b ), Y ) ), =( X, Z )
% 0.77/1.17 ],
% 0.77/1.17 [ 'there_exists'( h ) ],
% 0.77/1.17 [ =( compose( h, compose( a, b ) ), compose( g, compose( a, b ) ) ) ]
% 0.77/1.17 ,
% 0.77/1.17 [ ~( =( h, g ) ) ]
% 0.77/1.17 ] .
% 0.77/1.17
% 0.77/1.17
% 0.77/1.17 percentage equality = 0.483871, percentage horn = 1.000000
% 0.77/1.17 This is a problem with some equality
% 0.77/1.17
% 0.77/1.17
% 0.77/1.17
% 0.77/1.17 Options Used:
% 0.77/1.17
% 0.77/1.17 useres = 1
% 0.77/1.17 useparamod = 1
% 0.77/1.17 useeqrefl = 1
% 0.77/1.17 useeqfact = 1
% 0.77/1.17 usefactor = 1
% 0.77/1.17 usesimpsplitting = 0
% 0.77/1.17 usesimpdemod = 5
% 0.77/1.17 usesimpres = 3
% 0.77/1.17
% 0.77/1.17 resimpinuse = 1000
% 0.77/1.17 resimpclauses = 20000
% 0.77/1.17 substype = eqrewr
% 0.77/1.17 backwardsubs = 1
% 0.77/1.17 selectoldest = 5
% 0.77/1.17
% 0.77/1.17 litorderings [0] = split
% 0.77/1.17 litorderings [1] = extend the termordering, first sorting on arguments
% 0.77/1.17
% 0.77/1.17 termordering = kbo
% 0.77/1.17
% 0.77/1.17 litapriori = 0
% 0.77/1.17 termapriori = 1
% 0.77/1.17 litaposteriori = 0
% 0.77/1.17 termaposteriori = 0
% 0.77/1.17 demodaposteriori = 0
% 0.77/1.17 ordereqreflfact = 0
% 0.77/1.17
% 0.77/1.17 litselect = negord
% 0.77/1.17
% 0.77/1.17 maxweight = 15
% 0.77/1.17 maxdepth = 30000
% 0.77/1.17 maxlength = 115
% 0.77/1.17 maxnrvars = 195
% 0.77/1.17 excuselevel = 1
% 0.77/1.17 increasemaxweight = 1
% 0.77/1.17
% 0.77/1.17 maxselected = 10000000
% 0.77/1.17 maxnrclauses = 10000000
% 0.77/1.17
% 0.77/1.17 showgenerated = 0
% 0.77/1.17 showkept = 0
% 0.77/1.17 showselected = 0
% 0.77/1.17 showdeleted = 0
% 0.77/1.17 showresimp = 1
% 0.77/1.17 showstatus = 2000
% 0.77/1.17
% 0.77/1.17 prologoutput = 1
% 0.77/1.17 nrgoals = 5000000
% 0.77/1.17 totalproof = 1
% 0.77/1.17
% 0.77/1.17 Symbols occurring in the translation:
% 0.77/1.17
% 0.77/1.17 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.77/1.17 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 0.77/1.17 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.77/1.17 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.77/1.17 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.77/1.17 equivalent [41, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.77/1.17 'there_exists' [42, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.77/1.17 domain [43, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.77/1.17 codomain [44, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.77/1.17 compose [45, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.77/1.17 a [47, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.77/1.17 b [48, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.77/1.17 h [49, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.77/1.17 g [50, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.77/1.17
% 0.77/1.17
% 0.77/1.17 Starting Search:
% 0.77/1.17
% 0.77/1.17 Resimplifying inuse:
% 0.77/1.17 Done
% 0.77/1.17
% 0.77/1.17
% 0.77/1.17 Bliksems!, er is een bewijs:
% 0.77/1.17 % SZS status Unsatisfiable
% 0.77/1.17 % SZS output start Refutation
% 0.77/1.17
% 0.77/1.17 clause( 1, [ ~( equivalent( X, Y ) ), =( X, Y ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 2, [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X, Y ) ]
% 0.77/1.17 )
% 0.77/1.17 .
% 0.77/1.17 clause( 3, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 4, [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 5, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( domain(
% 0.77/1.17 X ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 6, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 0.77/1.17 codomain( Y ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 8, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y ), Z
% 0.77/1.17 ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 9, [ =( compose( X, domain( X ) ), X ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 10, [ =( compose( codomain( X ), X ), X ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 12, [ ~( =( compose( X, a ), Y ) ), ~( =( compose( Z, a ), Y ) ),
% 0.77/1.17 =( X, Z ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 13, [ ~( =( compose( X, b ), Y ) ), ~( =( compose( Z, b ), Y ) ),
% 0.77/1.17 =( X, Z ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 14, [ 'there_exists'( h ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 15, [ =( compose( compose( h, a ), b ), compose( compose( g, a ), b
% 0.77/1.17 ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 16, [ ~( =( h, g ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 18, [ ~( =( compose( X, a ), compose( Y, a ) ) ), =( Y, X ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 19, [ ~( =( compose( X, b ), compose( Y, b ) ) ), =( Y, X ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 28, [ ~( =( X, g ) ), ~( equivalent( h, X ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 190, [ ~( 'there_exists'( X ) ), 'there_exists'( domain( X ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 209, [ 'there_exists'( domain( h ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 232, [ ~( 'there_exists'( X ) ), =( domain( codomain( X ) ),
% 0.77/1.17 codomain( X ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 234, [ ~( 'there_exists'( X ) ), 'there_exists'( codomain( X ) ) ]
% 0.77/1.17 )
% 0.77/1.17 .
% 0.77/1.17 clause( 403, [ 'there_exists'( codomain( domain( h ) ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 673, [ 'there_exists'( codomain( codomain( domain( h ) ) ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 882, [ ~( =( compose( compose( g, a ), b ), compose( X, b ) ) ),
% 0.77/1.17 =( X, compose( h, a ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 886, [ =( compose( h, a ), compose( g, a ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 961, [ 'there_exists'( codomain( codomain( domain( X ) ) ) ), ~(
% 0.77/1.17 =( compose( X, a ), Y ) ), ~( =( compose( g, a ), Y ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 969, [ 'there_exists'( codomain( codomain( domain( g ) ) ) ), ~(
% 0.77/1.17 =( compose( g, a ), X ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 970, [ 'there_exists'( codomain( codomain( domain( g ) ) ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 973, [ 'there_exists'( codomain( domain( g ) ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 1011, [ 'there_exists'( domain( g ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 1033, [ 'there_exists'( g ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 1047, [ ~( =( g, X ) ), equivalent( g, X ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 1597, [ ~( =( Y, g ) ), ~( equivalent( X, Y ) ), ~( =( compose( X,
% 0.77/1.17 a ), compose( g, a ) ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 1603, [ ~( =( X, g ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 1604, [] )
% 0.77/1.17 .
% 0.77/1.17
% 0.77/1.17
% 0.77/1.17 % SZS output end Refutation
% 0.77/1.17 found a proof!
% 0.77/1.17
% 0.77/1.17 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.77/1.17
% 0.77/1.17 initialclauses(
% 0.77/1.17 [ clause( 1606, [ ~( equivalent( X, Y ) ), 'there_exists'( X ) ] )
% 0.77/1.17 , clause( 1607, [ ~( equivalent( X, Y ) ), =( X, Y ) ] )
% 0.77/1.17 , clause( 1608, [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X,
% 0.77/1.17 Y ) ] )
% 0.77/1.17 , clause( 1609, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ]
% 0.77/1.17 )
% 0.77/1.17 , clause( 1610, [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X )
% 0.77/1.17 ] )
% 0.77/1.17 , clause( 1611, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'(
% 0.77/1.17 domain( X ) ) ] )
% 0.77/1.17 , clause( 1612, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 0.77/1.17 codomain( Y ) ) ] )
% 0.77/1.17 , clause( 1613, [ ~( 'there_exists'( domain( X ) ) ), ~( =( domain( X ),
% 0.77/1.17 codomain( Y ) ) ), 'there_exists'( compose( X, Y ) ) ] )
% 0.77/1.17 , clause( 1614, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y
% 0.77/1.17 ), Z ) ) ] )
% 0.77/1.17 , clause( 1615, [ =( compose( X, domain( X ) ), X ) ] )
% 0.77/1.17 , clause( 1616, [ =( compose( codomain( X ), X ), X ) ] )
% 0.77/1.17 , clause( 1617, [ 'there_exists'( compose( a, b ) ) ] )
% 0.77/1.17 , clause( 1618, [ ~( =( compose( X, a ), Y ) ), ~( =( compose( Z, a ), Y )
% 0.77/1.17 ), =( X, Z ) ] )
% 0.77/1.17 , clause( 1619, [ ~( =( compose( X, b ), Y ) ), ~( =( compose( Z, b ), Y )
% 0.77/1.17 ), =( X, Z ) ] )
% 0.77/1.17 , clause( 1620, [ 'there_exists'( h ) ] )
% 0.77/1.17 , clause( 1621, [ =( compose( h, compose( a, b ) ), compose( g, compose( a
% 0.77/1.17 , b ) ) ) ] )
% 0.77/1.17 , clause( 1622, [ ~( =( h, g ) ) ] )
% 0.77/1.17 ] ).
% 0.77/1.17
% 0.77/1.17
% 0.77/1.17
% 0.77/1.17 subsumption(
% 0.77/1.17 clause( 1, [ ~( equivalent( X, Y ) ), =( X, Y ) ] )
% 0.77/1.17 , clause( 1607, [ ~( equivalent( X, Y ) ), =( X, Y ) ] )
% 0.77/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.77/1.17 ), ==>( 1, 1 )] ) ).
% 0.77/1.17
% 0.77/1.17
% 0.77/1.17 subsumption(
% 0.77/1.17 clause( 2, [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X, Y ) ]
% 0.77/1.17 )
% 0.77/1.17 , clause( 1608, [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X,
% 0.77/1.17 Y ) ] )
% 0.77/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.77/1.17 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.77/1.17
% 0.77/1.17
% 0.77/1.17 subsumption(
% 0.77/1.17 clause( 3, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ] )
% 0.77/1.17 , clause( 1609, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ]
% 0.77/1.17 )
% 0.77/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.77/1.17 1 )] ) ).
% 0.77/1.17
% 0.77/1.17
% 0.77/1.17 subsumption(
% 0.77/1.17 clause( 4, [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X ) ] )
% 0.77/1.17 , clause( 1610, [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X )
% 0.77/1.17 ] )
% 0.77/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.77/1.17 1 )] ) ).
% 0.77/1.17
% 0.77/1.17
% 0.77/1.17 subsumption(
% 0.77/1.17 clause( 5, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( domain(
% 0.77/1.17 X ) ) ] )
% 0.77/1.17 , clause( 1611, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'(
% 0.77/1.17 domain( X ) ) ] )
% 0.77/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.77/1.17 ), ==>( 1, 1 )] ) ).
% 0.77/1.17
% 0.77/1.17
% 0.77/1.17 subsumption(
% 0.77/1.17 clause( 6, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 0.77/1.17 codomain( Y ) ) ] )
% 0.77/1.17 , clause( 1612, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 0.77/1.17 codomain( Y ) ) ] )
% 0.77/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.77/1.17 ), ==>( 1, 1 )] ) ).
% 0.77/1.17
% 0.77/1.17
% 0.77/1.17 subsumption(
% 0.77/1.17 clause( 8, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y ), Z
% 0.77/1.17 ) ) ] )
% 0.77/1.17 , clause( 1614, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y
% 0.77/1.17 ), Z ) ) ] )
% 0.77/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.77/1.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.17
% 0.77/1.17
% 0.77/1.17 subsumption(
% 0.77/1.17 clause( 9, [ =( compose( X, domain( X ) ), X ) ] )
% 0.77/1.17 , clause( 1615, [ =( compose( X, domain( X ) ), X ) ] )
% 0.77/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.17
% 0.77/1.17
% 0.77/1.17 subsumption(
% 0.77/1.17 clause( 10, [ =( compose( codomain( X ), X ), X ) ] )
% 0.77/1.17 , clause( 1616, [ =( compose( codomain( X ), X ), X ) ] )
% 0.77/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.17
% 0.77/1.17
% 0.77/1.17 subsumption(
% 0.77/1.17 clause( 12, [ ~( =( compose( X, a ), Y ) ), ~( =( compose( Z, a ), Y ) ),
% 0.77/1.17 =( X, Z ) ] )
% 0.77/1.17 , clause( 1618, [ ~( =( compose( X, a ), Y ) ), ~( =( compose( Z, a ), Y )
% 0.77/1.17 ), =( X, Z ) ] )
% 0.77/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.77/1.17 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.77/1.17
% 0.77/1.17
% 0.77/1.17 subsumption(
% 0.77/1.17 clause( 13, [ ~( =( compose( X, b ), Y ) ), ~( =( compose( Z, b ), Y ) ),
% 0.77/1.17 =( X, Z ) ] )
% 0.77/1.17 , clause( 1619, [ ~( =( compose( X, b ), Y ) ), ~( =( compose( Z, b ), Y )
% 0.77/1.17 ), =( X, Z ) ] )
% 0.77/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.77/1.17 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.77/1.17
% 0.77/1.17
% 0.77/1.17 subsumption(
% 0.77/1.17 clause( 14, [ 'there_exists'( h ) ] )
% 0.77/1.17 , clause( 1620, [ 'there_exists'( h ) ] )
% 0.77/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.17
% 0.77/1.17
% 0.77/1.17 paramod(
% 0.77/1.17 clause( 1754, [ =( compose( h, compose( a, b ) ), compose( compose( g, a )
% 0.77/1.17 , b ) ) ] )
% 0.77/1.17 , clause( 8, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y ),
% 0.77/1.17 Z ) ) ] )
% 0.77/1.17 , 0, clause( 1621, [ =( compose( h, compose( a, b ) ), compose( g, compose(
% 0.77/1.17 a, b ) ) ) ] )
% 0.77/1.17 , 0, 6, substitution( 0, [ :=( X, g ), :=( Y, a ), :=( Z, b )] ),
% 0.77/1.17 substitution( 1, [] )).
% 0.77/1.17
% 0.77/1.17
% 0.77/1.17 paramod(
% 0.77/1.17 clause( 1756, [ =( compose( compose( h, a ), b ), compose( compose( g, a )
% 0.77/1.17 , b ) ) ] )
% 0.77/1.17 , clause( 8, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y ),
% 0.77/1.17 Z ) ) ] )
% 0.77/1.17 , 0, clause( 1754, [ =( compose( h, compose( a, b ) ), compose( compose( g
% 0.77/1.17 , a ), b ) ) ] )
% 0.77/1.17 , 0, 1, substitution( 0, [ :=( X, h ), :=( Y, a ), :=( Z, b )] ),
% 0.77/1.17 substitution( 1, [] )).
% 0.77/1.17
% 0.77/1.17
% 0.77/1.17 subsumption(
% 0.77/1.17 clause( 15, [ =( compose( compose( h, a ), b ), compose( compose( g, a ), b
% 0.77/1.17 ) ) ] )
% 0.77/1.17 , clause( 1756, [ =( compose( compose( h, a ), b ), compose( compose( g, a
% 0.77/1.17 ), b ) ) ] )
% 0.77/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.17
% 0.77/1.17
% 0.77/1.17 subsumption(
% 0.77/1.17 clause( 16, [ ~( =( h, g ) ) ] )
% 0.77/1.17 , clause( 1622, [ ~( =( h, g ) ) ] )
% 0.77/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.17
% 0.77/1.17
% 0.77/1.17 eqswap(
% 0.77/1.17 clause( 1777, [ ~( =( Y, compose( X, a ) ) ), ~( =( compose( Z, a ), Y ) )
% 0.77/1.17 , =( X, Z ) ] )
% 0.77/1.17 , clause( 12, [ ~( =( compose( X, a ), Y ) ), ~( =( compose( Z, a ), Y ) )
% 0.77/1.17 , =( X, Z ) ] )
% 0.77/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.77/1.17
% 0.77/1.17
% 0.77/1.17 eqrefl(
% 0.77/1.17 clause( 1780, [ ~( =( compose( Y, a ), compose( X, a ) ) ), =( X, Y ) ] )
% 0.77/1.17 , clause( 1777, [ ~( =( Y, compose( X, a ) ) ), ~( =( compose( Z, a ), Y )
% 0.77/1.17 ), =( X, Z ) ] )
% 0.77/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, compose( X, a ) ), :=( Z, Y )] )
% 0.77/1.17 ).
% 0.77/1.17
% 0.77/1.17
% 0.77/1.17 subsumption(
% 0.77/1.17 clause( 18, [ ~( =( compose( X, a ), compose( Y, a ) ) ), =( Y, X ) ] )
% 0.77/1.17 , clause( 1780, [ ~( =( compose( Y, a ), compose( X, a ) ) ), =( X, Y ) ]
% 0.77/1.17 )
% 0.77/1.17 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.77/1.17 ), ==>( 1, 1 )] ) ).
% 0.77/1.17
% 0.77/1.17
% 0.77/1.17 eqswap(
% 0.77/1.17 clause( 1782, [ ~( =( Y, compose( X, b ) ) ), ~( =( compose( Z, b ), Y ) )
% 243.20/243.70 , =( X, Z ) ] )
% 243.20/243.70 , clause( 13, [ ~( =( compose( X, b ), Y ) ), ~( =( compose( Z, b ), Y ) )
% 243.20/243.70 , =( X, Z ) ] )
% 243.20/243.70 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 243.20/243.70
% 243.20/243.70
% 243.20/243.70 eqrefl(
% 243.20/243.70 clause( 1785, [ ~( =( compose( Y, b ), compose( X, b ) ) ), =( X, Y ) ] )
% 243.20/243.70 , clause( 1782, [ ~( =( Y, compose( X, b ) ) ), ~( =( compose( Z, b ), Y )
% 243.20/243.70 ), =( X, Z ) ] )
% 243.20/243.70 , 0, substitution( 0, [ :=( X, X ), :=( Y, compose( X, b ) ), :=( Z, Y )] )
% 243.20/243.70 ).
% 243.20/243.70
% 243.20/243.70
% 243.20/243.70 subsumption(
% 243.20/243.70 clause( 19, [ ~( =( compose( X, b ), compose( Y, b ) ) ), =( Y, X ) ] )
% 243.20/243.70 , clause( 1785, [ ~( =( compose( Y, b ), compose( X, b ) ) ), =( X, Y ) ]
% 243.20/243.70 )
% 243.20/243.70 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 243.20/243.70 ), ==>( 1, 1 )] ) ).
% 243.20/243.70
% 243.20/243.70
% 243.20/243.70 eqswap(
% 243.20/243.70 clause( 1788, [ ~( =( g, h ) ) ] )
% 243.20/243.70 , clause( 16, [ ~( =( h, g ) ) ] )
% 243.20/243.70 , 0, substitution( 0, [] )).
% 243.20/243.70
% 243.20/243.70
% 243.20/243.70 paramod(
% 243.20/243.70 clause( 25510, [ ~( =( g, X ) ), ~( equivalent( h, X ) ) ] )
% 243.20/243.70 , clause( 1, [ ~( equivalent( X, Y ) ), =( X, Y ) ] )
% 243.20/243.70 , 1, clause( 1788, [ ~( =( g, h ) ) ] )
% 243.20/243.70 , 0, 3, substitution( 0, [ :=( X, h ), :=( Y, X )] ), substitution( 1, [] )
% 243.20/243.70 ).
% 243.20/243.70
% 243.20/243.70
% 243.20/243.70 eqswap(
% 243.20/243.70 clause( 25552, [ ~( =( X, g ) ), ~( equivalent( h, X ) ) ] )
% 243.20/243.70 , clause( 25510, [ ~( =( g, X ) ), ~( equivalent( h, X ) ) ] )
% 243.20/243.70 , 0, substitution( 0, [ :=( X, X )] )).
% 243.20/243.70
% 243.20/243.70
% 243.20/243.70 subsumption(
% 243.20/243.70 clause( 28, [ ~( =( X, g ) ), ~( equivalent( h, X ) ) ] )
% 243.20/243.70 , clause( 25552, [ ~( =( X, g ) ), ~( equivalent( h, X ) ) ] )
% 243.20/243.70 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 243.20/243.70 1 )] ) ).
% 243.20/243.70
% 243.20/243.70
% 243.20/243.70 paramod(
% 243.20/243.70 clause( 37370, [ ~( 'there_exists'( X ) ), 'there_exists'( domain( X ) ) ]
% 243.20/243.70 )
% 243.20/243.70 , clause( 9, [ =( compose( X, domain( X ) ), X ) ] )
% 243.20/243.70 , 0, clause( 5, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'(
% 243.20/243.70 domain( X ) ) ] )
% 243.20/243.70 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 243.20/243.70 :=( Y, domain( X ) )] )).
% 243.20/243.70
% 243.20/243.70
% 243.20/243.70 subsumption(
% 243.20/243.70 clause( 190, [ ~( 'there_exists'( X ) ), 'there_exists'( domain( X ) ) ] )
% 243.20/243.70 , clause( 37370, [ ~( 'there_exists'( X ) ), 'there_exists'( domain( X ) )
% 243.20/243.70 ] )
% 243.20/243.70 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 243.20/243.70 1 )] ) ).
% 243.20/243.70
% 243.20/243.70
% 243.20/243.70 resolution(
% 243.20/243.70 clause( 37371, [ 'there_exists'( domain( h ) ) ] )
% 243.20/243.70 , clause( 190, [ ~( 'there_exists'( X ) ), 'there_exists'( domain( X ) ) ]
% 243.20/243.70 )
% 243.20/243.70 , 0, clause( 14, [ 'there_exists'( h ) ] )
% 243.20/243.70 , 0, substitution( 0, [ :=( X, h )] ), substitution( 1, [] )).
% 243.20/243.70
% 243.20/243.70
% 243.20/243.70 subsumption(
% 243.20/243.70 clause( 209, [ 'there_exists'( domain( h ) ) ] )
% 243.20/243.70 , clause( 37371, [ 'there_exists'( domain( h ) ) ] )
% 243.20/243.70 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 243.20/243.70
% 243.20/243.70
% 243.20/243.70 eqswap(
% 243.20/243.70 clause( 37373, [ =( codomain( Y ), domain( X ) ), ~( 'there_exists'(
% 243.20/243.70 compose( X, Y ) ) ) ] )
% 243.20/243.70 , clause( 6, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 243.20/243.70 codomain( Y ) ) ] )
% 243.20/243.70 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 243.20/243.70
% 243.20/243.70
% 243.20/243.70 paramod(
% 243.20/243.70 clause( 37376, [ ~( 'there_exists'( X ) ), =( codomain( X ), domain(
% 243.20/243.70 codomain( X ) ) ) ] )
% 243.20/243.70 , clause( 10, [ =( compose( codomain( X ), X ), X ) ] )
% 243.20/243.70 , 0, clause( 37373, [ =( codomain( Y ), domain( X ) ), ~( 'there_exists'(
% 243.20/243.70 compose( X, Y ) ) ) ] )
% 243.20/243.70 , 1, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 243.20/243.70 codomain( X ) ), :=( Y, X )] )).
% 243.20/243.70
% 243.20/243.70
% 243.20/243.70 eqswap(
% 243.20/243.70 clause( 37377, [ =( domain( codomain( X ) ), codomain( X ) ), ~(
% 243.20/243.70 'there_exists'( X ) ) ] )
% 243.20/243.70 , clause( 37376, [ ~( 'there_exists'( X ) ), =( codomain( X ), domain(
% 243.20/243.70 codomain( X ) ) ) ] )
% 243.20/243.70 , 1, substitution( 0, [ :=( X, X )] )).
% 243.20/243.70
% 243.20/243.70
% 243.20/243.70 subsumption(
% 243.20/243.70 clause( 232, [ ~( 'there_exists'( X ) ), =( domain( codomain( X ) ),
% 243.20/243.70 codomain( X ) ) ] )
% 243.20/243.70 , clause( 37377, [ =( domain( codomain( X ) ), codomain( X ) ), ~(
% 243.20/243.70 'there_exists'( X ) ) ] )
% 243.20/243.70 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 243.20/243.70 0 )] ) ).
% 243.20/243.70
% 243.20/243.70
% 243.20/243.70 paramod(
% 243.20/243.70 clause( 37380, [ ~( 'there_exists'( X ) ), 'there_exists'( domain( codomain(
% 243.20/243.70 X ) ) ) ] )
% 243.20/243.70 , clause( 10, [ =( compose( codomain( X ), X ), X ) ] )
% 243.20/243.70 , 0, clause( 5, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'(
% 243.20/243.70 domain( X ) ) ] )
% 243.20/243.70 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 243.20/243.70 codomain( X ) ), :=( Y, X )] )).
% 243.20/243.70
% 243.20/243.70
% 243.20/243.70 paramod(
% 243.20/243.70 clause( 37381, [ 'there_exists'( codomain( X ) ), ~( 'tCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------