TSTP Solution File: SET766+4 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET766+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n012.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 22:51:52 EDT 2022
% Result : Theorem 2.65s 3.06s
% Output : Refutation 2.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET766+4 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sun Jul 10 07:55:13 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.70/1.08 *** allocated 10000 integers for termspace/termends
% 0.70/1.08 *** allocated 10000 integers for clauses
% 0.70/1.08 *** allocated 10000 integers for justifications
% 0.70/1.08 Bliksem 1.12
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 Automatic Strategy Selection
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 Clauses:
% 0.70/1.08
% 0.70/1.08 { ! subset( X, Y ), ! member( Z, X ), member( Z, Y ) }.
% 0.70/1.08 { ! member( skol1( Z, Y ), Y ), subset( X, Y ) }.
% 0.70/1.08 { member( skol1( X, Y ), X ), subset( X, Y ) }.
% 0.70/1.08 { ! equal_set( X, Y ), subset( X, Y ) }.
% 0.70/1.08 { ! equal_set( X, Y ), subset( Y, X ) }.
% 0.70/1.08 { ! subset( X, Y ), ! subset( Y, X ), equal_set( X, Y ) }.
% 0.70/1.08 { ! member( X, power_set( Y ) ), subset( X, Y ) }.
% 0.70/1.08 { ! subset( X, Y ), member( X, power_set( Y ) ) }.
% 0.70/1.08 { ! member( X, intersection( Y, Z ) ), member( X, Y ) }.
% 0.70/1.08 { ! member( X, intersection( Y, Z ) ), member( X, Z ) }.
% 0.70/1.08 { ! member( X, Y ), ! member( X, Z ), member( X, intersection( Y, Z ) ) }.
% 0.70/1.08 { ! member( X, union( Y, Z ) ), member( X, Y ), member( X, Z ) }.
% 0.70/1.08 { ! member( X, Y ), member( X, union( Y, Z ) ) }.
% 0.70/1.08 { ! member( X, Z ), member( X, union( Y, Z ) ) }.
% 0.70/1.08 { ! member( X, empty_set ) }.
% 0.70/1.08 { ! member( X, difference( Z, Y ) ), member( X, Z ) }.
% 0.70/1.08 { ! member( X, difference( Z, Y ) ), ! member( X, Y ) }.
% 0.70/1.08 { ! member( X, Z ), member( X, Y ), member( X, difference( Z, Y ) ) }.
% 0.70/1.08 { ! member( X, singleton( Y ) ), X = Y }.
% 0.70/1.08 { ! X = Y, member( X, singleton( Y ) ) }.
% 0.70/1.08 { ! member( X, unordered_pair( Y, Z ) ), X = Y, X = Z }.
% 0.70/1.08 { ! X = Y, member( X, unordered_pair( Y, Z ) ) }.
% 0.70/1.08 { ! X = Z, member( X, unordered_pair( Y, Z ) ) }.
% 0.70/1.08 { ! member( X, sum( Y ) ), member( skol2( Z, Y ), Y ) }.
% 0.70/1.08 { ! member( X, sum( Y ) ), member( X, skol2( X, Y ) ) }.
% 0.70/1.08 { ! member( Z, Y ), ! member( X, Z ), member( X, sum( Y ) ) }.
% 0.70/1.08 { ! member( X, product( Y ) ), ! member( Z, Y ), member( X, Z ) }.
% 0.70/1.08 { member( skol3( Z, Y ), Y ), member( X, product( Y ) ) }.
% 0.70/1.08 { ! member( X, skol3( X, Y ) ), member( X, product( Y ) ) }.
% 0.70/1.08 { ! disjoint( X, Y ), ! member( Z, X ), ! member( Z, Y ) }.
% 0.70/1.08 { member( skol4( Z, Y ), Y ), disjoint( X, Y ) }.
% 0.70/1.08 { member( skol4( X, Y ), X ), disjoint( X, Y ) }.
% 0.70/1.08 { ! partition( X, Y ), alpha4( X, Y ) }.
% 0.70/1.08 { ! partition( X, Y ), alpha8( X, Y ) }.
% 0.70/1.08 { ! alpha4( X, Y ), ! alpha8( X, Y ), partition( X, Y ) }.
% 0.70/1.08 { ! alpha8( X, Y ), alpha13( X, Y ) }.
% 0.70/1.08 { ! alpha8( X, Y ), alpha1( X ) }.
% 0.70/1.08 { ! alpha13( X, Y ), ! alpha1( X ), alpha8( X, Y ) }.
% 0.70/1.08 { ! alpha13( X, Y ), ! member( Z, Y ), alpha17( X, Z ) }.
% 0.70/1.08 { member( skol5( Z, Y ), Y ), alpha13( X, Y ) }.
% 0.70/1.08 { ! alpha17( X, skol5( X, Y ) ), alpha13( X, Y ) }.
% 0.70/1.08 { ! alpha17( X, Y ), member( Y, skol6( Z, Y ) ) }.
% 0.70/1.08 { ! alpha17( X, Y ), member( skol6( X, Y ), X ) }.
% 0.70/1.08 { ! member( Z, X ), ! member( Y, Z ), alpha17( X, Y ) }.
% 0.70/1.08 { ! alpha4( X, Y ), ! member( Z, X ), subset( Z, Y ) }.
% 0.70/1.08 { ! subset( skol7( Z, Y ), Y ), alpha4( X, Y ) }.
% 0.70/1.08 { member( skol7( X, Y ), X ), alpha4( X, Y ) }.
% 0.70/1.08 { ! alpha1( X ), ! alpha9( X, Y, Z ), alpha5( Y, Z ) }.
% 0.70/1.08 { alpha9( X, skol8( X ), skol16( X ) ), alpha1( X ) }.
% 0.70/1.08 { ! alpha5( skol8( X ), skol16( X ) ), alpha1( X ) }.
% 0.70/1.08 { ! alpha9( X, Y, Z ), member( Y, X ) }.
% 0.70/1.08 { ! alpha9( X, Y, Z ), member( Z, X ) }.
% 0.70/1.08 { ! member( Y, X ), ! member( Z, X ), alpha9( X, Y, Z ) }.
% 0.70/1.08 { ! alpha5( X, Y ), ! alpha10( X, Y ), X = Y }.
% 0.70/1.08 { alpha10( X, Y ), alpha5( X, Y ) }.
% 0.70/1.08 { ! X = Y, alpha5( X, Y ) }.
% 0.70/1.08 { ! alpha10( X, Y ), member( skol9( Z, Y ), Y ) }.
% 0.70/1.08 { ! alpha10( X, Y ), member( skol9( X, Y ), X ) }.
% 0.70/1.08 { ! member( Z, X ), ! member( Z, Y ), alpha10( X, Y ) }.
% 0.70/1.08 { ! equivalence( Y, X ), alpha2( X, Y ) }.
% 0.70/1.08 { ! equivalence( Y, X ), alpha6( X, Y ) }.
% 0.70/1.08 { ! alpha2( X, Y ), ! alpha6( X, Y ), equivalence( Y, X ) }.
% 0.70/1.08 { ! alpha6( X, Y ), alpha11( X, Y ) }.
% 0.70/1.08 { ! alpha6( X, Y ), alpha14( X, Y ) }.
% 0.70/1.08 { ! alpha11( X, Y ), ! alpha14( X, Y ), alpha6( X, Y ) }.
% 0.70/1.08 { ! alpha14( X, Y ), ! alpha21( X, Z, T, U ), alpha23( Y, Z, T, U ) }.
% 0.70/1.08 { alpha21( X, skol10( X, Y ), skol17( X, Y ), skol21( X, Y ) ), alpha14( X
% 0.70/1.08 , Y ) }.
% 0.70/1.08 { ! alpha23( Y, skol10( X, Y ), skol17( X, Y ), skol21( X, Y ) ), alpha14(
% 0.70/1.08 X, Y ) }.
% 0.70/1.08 { ! alpha23( X, Y, Z, T ), ! alpha24( X, Y, Z, T ), apply( X, Y, T ) }.
% 0.70/1.08 { alpha24( X, Y, Z, T ), alpha23( X, Y, Z, T ) }.
% 0.70/1.08 { ! apply( X, Y, T ), alpha23( X, Y, Z, T ) }.
% 0.70/1.08 { ! alpha24( X, Y, Z, T ), apply( X, Y, Z ) }.
% 0.70/1.08 { ! alpha24( X, Y, Z, T ), apply( X, Z, T ) }.
% 0.70/1.08 { ! apply( X, Y, Z ), ! apply( X, Z, T ), alpha24( X, Y, Z, T ) }.
% 0.85/1.22 { ! alpha21( X, Y, Z, T ), member( Y, X ) }.
% 0.85/1.22 { ! alpha21( X, Y, Z, T ), alpha18( X, Z, T ) }.
% 0.85/1.22 { ! member( Y, X ), ! alpha18( X, Z, T ), alpha21( X, Y, Z, T ) }.
% 0.85/1.22 { ! alpha18( X, Y, Z ), member( Y, X ) }.
% 0.85/1.22 { ! alpha18( X, Y, Z ), member( Z, X ) }.
% 0.85/1.22 { ! member( Y, X ), ! member( Z, X ), alpha18( X, Y, Z ) }.
% 0.85/1.22 { ! alpha11( X, Y ), ! alpha15( X, Z, T ), alpha19( Y, Z, T ) }.
% 0.85/1.22 { alpha15( X, skol11( X, Y ), skol18( X, Y ) ), alpha11( X, Y ) }.
% 0.85/1.22 { ! alpha19( Y, skol11( X, Y ), skol18( X, Y ) ), alpha11( X, Y ) }.
% 0.85/1.22 { ! alpha19( X, Y, Z ), ! apply( X, Y, Z ), apply( X, Z, Y ) }.
% 0.85/1.22 { apply( X, Y, Z ), alpha19( X, Y, Z ) }.
% 0.85/1.22 { ! apply( X, Z, Y ), alpha19( X, Y, Z ) }.
% 0.85/1.22 { ! alpha15( X, Y, Z ), member( Y, X ) }.
% 0.85/1.22 { ! alpha15( X, Y, Z ), member( Z, X ) }.
% 0.85/1.22 { ! member( Y, X ), ! member( Z, X ), alpha15( X, Y, Z ) }.
% 0.85/1.22 { ! alpha2( X, Y ), ! member( Z, X ), apply( Y, Z, Z ) }.
% 0.85/1.22 { ! apply( Y, skol12( Z, Y ), skol12( Z, Y ) ), alpha2( X, Y ) }.
% 0.85/1.22 { member( skol12( X, Y ), X ), alpha2( X, Y ) }.
% 0.85/1.22 { ! member( T, equivalence_class( Z, Y, X ) ), member( T, Y ) }.
% 0.85/1.22 { ! member( T, equivalence_class( Z, Y, X ) ), apply( X, Z, T ) }.
% 0.85/1.22 { ! member( T, Y ), ! apply( X, Z, T ), member( T, equivalence_class( Z, Y
% 0.85/1.22 , X ) ) }.
% 0.85/1.22 { ! pre_order( X, Y ), alpha3( X, Y ) }.
% 0.85/1.22 { ! pre_order( X, Y ), alpha7( X, Y ) }.
% 0.85/1.22 { ! alpha3( X, Y ), ! alpha7( X, Y ), pre_order( X, Y ) }.
% 0.85/1.22 { ! alpha7( X, Y ), ! alpha16( Y, Z, T, U ), alpha20( X, Z, T, U ) }.
% 0.85/1.22 { alpha16( Y, skol13( X, Y ), skol19( X, Y ), skol22( X, Y ) ), alpha7( X,
% 0.85/1.22 Y ) }.
% 0.85/1.22 { ! alpha20( X, skol13( X, Y ), skol19( X, Y ), skol22( X, Y ) ), alpha7( X
% 0.85/1.22 , Y ) }.
% 0.85/1.22 { ! alpha20( X, Y, Z, T ), ! alpha22( X, Y, Z, T ), apply( X, Y, T ) }.
% 0.85/1.22 { alpha22( X, Y, Z, T ), alpha20( X, Y, Z, T ) }.
% 0.85/1.22 { ! apply( X, Y, T ), alpha20( X, Y, Z, T ) }.
% 0.85/1.22 { ! alpha22( X, Y, Z, T ), apply( X, Y, Z ) }.
% 0.85/1.22 { ! alpha22( X, Y, Z, T ), apply( X, Z, T ) }.
% 0.85/1.22 { ! apply( X, Y, Z ), ! apply( X, Z, T ), alpha22( X, Y, Z, T ) }.
% 0.85/1.22 { ! alpha16( X, Y, Z, T ), member( Y, X ) }.
% 0.85/1.22 { ! alpha16( X, Y, Z, T ), alpha12( X, Z, T ) }.
% 0.85/1.22 { ! member( Y, X ), ! alpha12( X, Z, T ), alpha16( X, Y, Z, T ) }.
% 0.85/1.22 { ! alpha12( X, Y, Z ), member( Y, X ) }.
% 0.85/1.22 { ! alpha12( X, Y, Z ), member( Z, X ) }.
% 0.85/1.22 { ! member( Y, X ), ! member( Z, X ), alpha12( X, Y, Z ) }.
% 0.85/1.22 { ! alpha3( X, Y ), ! member( Z, Y ), apply( X, Z, Z ) }.
% 0.85/1.22 { member( skol14( Z, Y ), Y ), alpha3( X, Y ) }.
% 0.85/1.22 { ! apply( X, skol14( X, Y ), skol14( X, Y ) ), alpha3( X, Y ) }.
% 0.85/1.22 { equivalence( skol20, skol15 ) }.
% 0.85/1.22 { member( skol23, skol15 ) }.
% 0.85/1.22 { ! member( skol23, equivalence_class( skol23, skol15, skol20 ) ) }.
% 0.85/1.22
% 0.85/1.22 percentage equality = 0.029520, percentage horn = 0.840336
% 0.85/1.22 This is a problem with some equality
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 Options Used:
% 0.85/1.22
% 0.85/1.22 useres = 1
% 0.85/1.22 useparamod = 1
% 0.85/1.22 useeqrefl = 1
% 0.85/1.22 useeqfact = 1
% 0.85/1.22 usefactor = 1
% 0.85/1.22 usesimpsplitting = 0
% 0.85/1.22 usesimpdemod = 5
% 0.85/1.22 usesimpres = 3
% 0.85/1.22
% 0.85/1.22 resimpinuse = 1000
% 0.85/1.22 resimpclauses = 20000
% 0.85/1.22 substype = eqrewr
% 0.85/1.22 backwardsubs = 1
% 0.85/1.22 selectoldest = 5
% 0.85/1.22
% 0.85/1.22 litorderings [0] = split
% 0.85/1.22 litorderings [1] = extend the termordering, first sorting on arguments
% 0.85/1.22
% 0.85/1.22 termordering = kbo
% 0.85/1.22
% 0.85/1.22 litapriori = 0
% 0.85/1.22 termapriori = 1
% 0.85/1.22 litaposteriori = 0
% 0.85/1.22 termaposteriori = 0
% 0.85/1.22 demodaposteriori = 0
% 0.85/1.22 ordereqreflfact = 0
% 0.85/1.22
% 0.85/1.22 litselect = negord
% 0.85/1.22
% 0.85/1.22 maxweight = 15
% 0.85/1.22 maxdepth = 30000
% 0.85/1.22 maxlength = 115
% 0.85/1.22 maxnrvars = 195
% 0.85/1.22 excuselevel = 1
% 0.85/1.22 increasemaxweight = 1
% 0.85/1.22
% 0.85/1.22 maxselected = 10000000
% 0.85/1.22 maxnrclauses = 10000000
% 0.85/1.22
% 0.85/1.22 showgenerated = 0
% 0.85/1.22 showkept = 0
% 0.85/1.22 showselected = 0
% 0.85/1.22 showdeleted = 0
% 0.85/1.22 showresimp = 1
% 0.85/1.22 showstatus = 2000
% 0.85/1.22
% 0.85/1.22 prologoutput = 0
% 0.85/1.22 nrgoals = 5000000
% 0.85/1.22 totalproof = 1
% 0.85/1.22
% 0.85/1.22 Symbols occurring in the translation:
% 0.85/1.22
% 0.85/1.22 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.85/1.22 . [1, 2] (w:1, o:29, a:1, s:1, b:0),
% 0.85/1.22 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 0.85/1.22 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.85/1.22 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.85/1.22 subset [37, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.85/1.22 member [39, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.85/1.22 equal_set [40, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.85/1.22 power_set [41, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.85/1.22 intersection [42, 2] (w:1, o:58, a:1, s:1, b:0),
% 2.65/3.06 union [43, 2] (w:1, o:59, a:1, s:1, b:0),
% 2.65/3.06 empty_set [44, 0] (w:1, o:9, a:1, s:1, b:0),
% 2.65/3.06 difference [46, 2] (w:1, o:55, a:1, s:1, b:0),
% 2.65/3.06 singleton [47, 1] (w:1, o:23, a:1, s:1, b:0),
% 2.65/3.06 unordered_pair [48, 2] (w:1, o:60, a:1, s:1, b:0),
% 2.65/3.06 sum [49, 1] (w:1, o:24, a:1, s:1, b:0),
% 2.65/3.06 product [51, 1] (w:1, o:25, a:1, s:1, b:0),
% 2.65/3.06 disjoint [52, 2] (w:1, o:56, a:1, s:1, b:0),
% 2.65/3.06 partition [53, 2] (w:1, o:61, a:1, s:1, b:0),
% 2.65/3.06 equivalence [56, 2] (w:1, o:62, a:1, s:1, b:0),
% 2.65/3.06 apply [57, 3] (w:1, o:94, a:1, s:1, b:0),
% 2.65/3.06 equivalence_class [58, 3] (w:1, o:95, a:1, s:1, b:0),
% 2.65/3.06 pre_order [59, 2] (w:1, o:63, a:1, s:1, b:0),
% 2.65/3.06 alpha1 [60, 1] (w:1, o:26, a:1, s:1, b:1),
% 2.65/3.06 alpha2 [61, 2] (w:1, o:69, a:1, s:1, b:1),
% 2.65/3.06 alpha3 [62, 2] (w:1, o:70, a:1, s:1, b:1),
% 2.65/3.06 alpha4 [63, 2] (w:1, o:71, a:1, s:1, b:1),
% 2.65/3.06 alpha5 [64, 2] (w:1, o:72, a:1, s:1, b:1),
% 2.65/3.06 alpha6 [65, 2] (w:1, o:73, a:1, s:1, b:1),
% 2.65/3.06 alpha7 [66, 2] (w:1, o:74, a:1, s:1, b:1),
% 2.65/3.06 alpha8 [67, 2] (w:1, o:75, a:1, s:1, b:1),
% 2.65/3.06 alpha9 [68, 3] (w:1, o:96, a:1, s:1, b:1),
% 2.65/3.06 alpha10 [69, 2] (w:1, o:64, a:1, s:1, b:1),
% 2.65/3.06 alpha11 [70, 2] (w:1, o:65, a:1, s:1, b:1),
% 2.65/3.06 alpha12 [71, 3] (w:1, o:97, a:1, s:1, b:1),
% 2.65/3.06 alpha13 [72, 2] (w:1, o:66, a:1, s:1, b:1),
% 2.65/3.06 alpha14 [73, 2] (w:1, o:67, a:1, s:1, b:1),
% 2.65/3.06 alpha15 [74, 3] (w:1, o:98, a:1, s:1, b:1),
% 2.65/3.06 alpha16 [75, 4] (w:1, o:101, a:1, s:1, b:1),
% 2.65/3.06 alpha17 [76, 2] (w:1, o:68, a:1, s:1, b:1),
% 2.65/3.06 alpha18 [77, 3] (w:1, o:99, a:1, s:1, b:1),
% 2.65/3.06 alpha19 [78, 3] (w:1, o:100, a:1, s:1, b:1),
% 2.65/3.06 alpha20 [79, 4] (w:1, o:102, a:1, s:1, b:1),
% 2.65/3.06 alpha21 [80, 4] (w:1, o:103, a:1, s:1, b:1),
% 2.65/3.06 alpha22 [81, 4] (w:1, o:104, a:1, s:1, b:1),
% 2.65/3.06 alpha23 [82, 4] (w:1, o:105, a:1, s:1, b:1),
% 2.65/3.06 alpha24 [83, 4] (w:1, o:106, a:1, s:1, b:1),
% 2.65/3.06 skol1 [84, 2] (w:1, o:76, a:1, s:1, b:1),
% 2.65/3.06 skol2 [85, 2] (w:1, o:85, a:1, s:1, b:1),
% 2.65/3.06 skol3 [86, 2] (w:1, o:88, a:1, s:1, b:1),
% 2.65/3.06 skol4 [87, 2] (w:1, o:89, a:1, s:1, b:1),
% 2.65/3.06 skol5 [88, 2] (w:1, o:90, a:1, s:1, b:1),
% 2.65/3.06 skol6 [89, 2] (w:1, o:91, a:1, s:1, b:1),
% 2.65/3.06 skol7 [90, 2] (w:1, o:92, a:1, s:1, b:1),
% 2.65/3.06 skol8 [91, 1] (w:1, o:27, a:1, s:1, b:1),
% 2.65/3.06 skol9 [92, 2] (w:1, o:93, a:1, s:1, b:1),
% 2.65/3.06 skol10 [93, 2] (w:1, o:77, a:1, s:1, b:1),
% 2.65/3.06 skol11 [94, 2] (w:1, o:78, a:1, s:1, b:1),
% 2.65/3.06 skol12 [95, 2] (w:1, o:79, a:1, s:1, b:1),
% 2.65/3.06 skol13 [96, 2] (w:1, o:80, a:1, s:1, b:1),
% 2.65/3.06 skol14 [97, 2] (w:1, o:81, a:1, s:1, b:1),
% 2.65/3.06 skol15 [98, 0] (w:1, o:14, a:1, s:1, b:1),
% 2.65/3.06 skol16 [99, 1] (w:1, o:28, a:1, s:1, b:1),
% 2.65/3.06 skol17 [100, 2] (w:1, o:82, a:1, s:1, b:1),
% 2.65/3.06 skol18 [101, 2] (w:1, o:83, a:1, s:1, b:1),
% 2.65/3.06 skol19 [102, 2] (w:1, o:84, a:1, s:1, b:1),
% 2.65/3.06 skol20 [103, 0] (w:1, o:15, a:1, s:1, b:1),
% 2.65/3.06 skol21 [104, 2] (w:1, o:86, a:1, s:1, b:1),
% 2.65/3.06 skol22 [105, 2] (w:1, o:87, a:1, s:1, b:1),
% 2.65/3.06 skol23 [106, 0] (w:1, o:16, a:1, s:1, b:1).
% 2.65/3.06
% 2.65/3.06
% 2.65/3.06 Starting Search:
% 2.65/3.06
% 2.65/3.06 *** allocated 15000 integers for clauses
% 2.65/3.06 *** allocated 22500 integers for clauses
% 2.65/3.06 *** allocated 33750 integers for clauses
% 2.65/3.06 *** allocated 50625 integers for clauses
% 2.65/3.06 *** allocated 15000 integers for termspace/termends
% 2.65/3.06 *** allocated 75937 integers for clauses
% 2.65/3.06 *** allocated 22500 integers for termspace/termends
% 2.65/3.06 Resimplifying inuse:
% 2.65/3.06 Done
% 2.65/3.06
% 2.65/3.06 *** allocated 113905 integers for clauses
% 2.65/3.06 *** allocated 33750 integers for termspace/termends
% 2.65/3.06
% 2.65/3.06 Intermediate Status:
% 2.65/3.06 Generated: 2803
% 2.65/3.06 Kept: 2011
% 2.65/3.06 Inuse: 125
% 2.65/3.06 Deleted: 3
% 2.65/3.06 Deletedinuse: 1
% 2.65/3.06
% 2.65/3.06 *** allocated 170857 integers for clauses
% 2.65/3.06 Resimplifying inuse:
% 2.65/3.06 Done
% 2.65/3.06
% 2.65/3.06 *** allocated 50625 integers for termspace/termends
% 2.65/3.06 Resimplifying inuse:
% 2.65/3.06 Done
% 2.65/3.06
% 2.65/3.06 *** allocated 256285 integers for clauses
% 2.65/3.06 *** allocated 75937 integers for termspace/termends
% 2.65/3.06
% 2.65/3.06 Intermediate Status:
% 2.65/3.06 Generated: 5859
% 2.65/3.06 Kept: 4507
% 2.65/3.06 Inuse: 244
% 2.65/3.06 Deleted: 3
% 2.65/3.06 Deletedinuse: 1
% 2.65/3.06
% 2.65/3.06 Resimplifying inuse:
% 2.65/3.06 Done
% 2.65/3.06
% 2.65/3.06 Resimplifying inuse:
% 2.65/3.06 Done
% 2.65/3.06
% 2.65/3.06 *** allocated 384427 integers for clauses
% 2.65/3.06 *** allocated 113905 integers for termspace/termends
% 2.65/3.06
% 2.65/3.06 Intermediate Status:
% 2.65/3.06 Generated: 10614
% 2.65/3.06 Kept: 6537
% 2.65/3.06 Inuse: 449
% 2.65/3.06 Deleted: 6
% 2.65/3.06 Deletedinuse: 1
% 2.65/3.06
% 2.65/3.06 Resimplifying inuse:
% 2.65/3.06 Done
% 2.65/3.06
% 2.65/3.06 Resimplifying inuse:
% 2.65/3.06 Done
% 2.65/3.06
% 2.65/3.06 *** allocated 576640 integers for clauses
% 2.65/3.06 *** allocated 170857 integers for termspace/termends
% 2.65/3.06
% 2.65/3.06 Intermediate Status:
% 2.65/3.06 Generated: 15579
% 2.65/3.06 Kept: 9180
% 2.65/3.06 Inuse: 540
% 2.65/3.06 Deleted: 9
% 2.65/3.06 Deletedinuse: 3
% 2.65/3.06
% 2.65/3.06 Resimplifying inuse:
% 2.65/3.06 Done
% 2.65/3.06
% 2.65/3.06 Resimplifying inuse:
% 2.65/3.06 Done
% 2.65/3.06
% 2.65/3.06
% 2.65/3.06 Intermediate Status:
% 2.65/3.06 Generated: 19842
% 2.65/3.06 Kept: 11184
% 2.65/3.06 Inuse: 602
% 2.65/3.06 Deleted: 9
% 2.65/3.06 Deletedinuse: 3
% 2.65/3.06
% 2.65/3.06 Resimplifying inuse:
% 2.65/3.06 Done
% 2.65/3.06
% 2.65/3.06 Resimplifying inuse:
% 2.65/3.06 Done
% 2.65/3.06
% 2.65/3.06 *** allocated 256285 integers for termspace/termends
% 2.65/3.06 *** allocated 864960 integers for clauses
% 2.65/3.06
% 2.65/3.06 Intermediate Status:
% 2.65/3.06 Generated: 23353
% 2.65/3.06 Kept: 13251
% 2.65/3.06 Inuse: 649
% 2.65/3.06 Deleted: 10
% 2.65/3.06 Deletedinuse: 3
% 2.65/3.06
% 2.65/3.06 Resimplifying inuse:
% 2.65/3.06 Done
% 2.65/3.06
% 2.65/3.06 Resimplifying inuse:
% 2.65/3.06 Done
% 2.65/3.06
% 2.65/3.06
% 2.65/3.06 Intermediate Status:
% 2.65/3.06 Generated: 27881
% 2.65/3.06 Kept: 15287
% 2.65/3.06 Inuse: 689
% 2.65/3.06 Deleted: 11
% 2.65/3.06 Deletedinuse: 4
% 2.65/3.06
% 2.65/3.06 Resimplifying inuse:
% 2.65/3.06 Done
% 2.65/3.06
% 2.65/3.06 Resimplifying inuse:
% 2.65/3.06 Done
% 2.65/3.06
% 2.65/3.06
% 2.65/3.06 Intermediate Status:
% 2.65/3.06 Generated: 32063
% 2.65/3.06 Kept: 17301
% 2.65/3.06 Inuse: 735
% 2.65/3.06 Deleted: 11
% 2.65/3.06 Deletedinuse: 4
% 2.65/3.06
% 2.65/3.06 Resimplifying inuse:
% 2.65/3.06 Done
% 2.65/3.06
% 2.65/3.06 Resimplifying inuse:
% 2.65/3.06 Done
% 2.65/3.06
% 2.65/3.06
% 2.65/3.06 Intermediate Status:
% 2.65/3.06 Generated: 36739
% 2.65/3.06 Kept: 19377
% 2.65/3.06 Inuse: 778
% 2.65/3.06 Deleted: 24
% 2.65/3.06 Deletedinuse: 16
% 2.65/3.06
% 2.65/3.06 *** allocated 384427 integers for termspace/termends
% 2.65/3.06 Resimplifying inuse:
% 2.65/3.06 Done
% 2.65/3.06
% 2.65/3.06 *** allocated 1297440 integers for clauses
% 2.65/3.06 Resimplifying clauses:
% 2.65/3.06 Done
% 2.65/3.06
% 2.65/3.06 Resimplifying inuse:
% 2.65/3.06 Done
% 2.65/3.06
% 2.65/3.06
% 2.65/3.06 Intermediate Status:
% 2.65/3.06 Generated: 41664
% 2.65/3.06 Kept: 21378
% 2.65/3.06 Inuse: 826
% 2.65/3.06 Deleted: 1246
% 2.65/3.06 Deletedinuse: 16
% 2.65/3.06
% 2.65/3.06 Resimplifying inuse:
% 2.65/3.06 Done
% 2.65/3.06
% 2.65/3.06 Resimplifying inuse:
% 2.65/3.06 Done
% 2.65/3.06
% 2.65/3.06
% 2.65/3.06 Intermediate Status:
% 2.65/3.06 Generated: 46626
% 2.65/3.06 Kept: 23493
% 2.65/3.06 Inuse: 873
% 2.65/3.06 Deleted: 1248
% 2.65/3.06 Deletedinuse: 18
% 2.65/3.06
% 2.65/3.06
% 2.65/3.06 Bliksems!, er is een bewijs:
% 2.65/3.06 % SZS status Theorem
% 2.65/3.06 % SZS output start Refutation
% 2.65/3.06
% 2.65/3.06 (0) {G0,W9,D2,L3,V3,M3} I { ! subset( X, Y ), ! member( Z, X ), member( Z,
% 2.65/3.06 Y ) }.
% 2.65/3.06 (2) {G0,W8,D3,L2,V2,M2} I { member( skol1( X, Y ), X ), subset( X, Y ) }.
% 2.65/3.06 (14) {G0,W3,D2,L1,V1,M1} I { ! member( X, empty_set ) }.
% 2.65/3.06 (20) {G0,W11,D3,L3,V3,M3} I { ! member( X, unordered_pair( Y, Z ) ), X = Y
% 2.65/3.06 , X = Z }.
% 2.65/3.06 (21) {G0,W8,D3,L2,V3,M2} I { ! X = Y, member( X, unordered_pair( Y, Z ) )
% 2.65/3.06 }.
% 2.65/3.06 (59) {G0,W6,D2,L2,V2,M2} I { ! equivalence( Y, X ), alpha2( X, Y ) }.
% 2.65/3.06 (89) {G0,W10,D2,L3,V3,M3} I { ! alpha2( X, Y ), ! member( Z, X ), apply( Y
% 2.65/3.06 , Z, Z ) }.
% 2.65/3.06 (94) {G0,W13,D3,L3,V4,M3} I { ! member( T, Y ), ! apply( X, Z, T ), member
% 2.65/3.06 ( T, equivalence_class( Z, Y, X ) ) }.
% 2.65/3.06 (116) {G0,W3,D2,L1,V0,M1} I { equivalence( skol20, skol15 ) }.
% 2.65/3.06 (117) {G0,W3,D2,L1,V0,M1} I { member( skol23, skol15 ) }.
% 2.65/3.06 (118) {G0,W6,D3,L1,V0,M1} I { ! member( skol23, equivalence_class( skol23,
% 2.65/3.06 skol15, skol20 ) ) }.
% 2.65/3.06 (125) {G1,W11,D3,L3,V3,M3} E(20) { ! X = Y, ! member( Z, unordered_pair( Y
% 2.65/3.06 , X ) ), Z = Y }.
% 2.65/3.06 (126) {G1,W5,D3,L1,V2,M1} Q(21) { member( X, unordered_pair( X, Y ) ) }.
% 2.65/3.06 (142) {G1,W6,D2,L2,V2,M2} R(0,14) { ! subset( X, empty_set ), ! member( Y,
% 2.65/3.06 X ) }.
% 2.65/3.06 (145) {G2,W5,D3,L1,V2,M1} R(142,126) { ! subset( unordered_pair( X, Y ),
% 2.65/3.06 empty_set ) }.
% 2.65/3.06 (151) {G3,W9,D4,L1,V2,M1} R(2,145) { member( skol1( unordered_pair( X, Y )
% 2.65/3.06 , empty_set ), unordered_pair( X, Y ) ) }.
% 2.65/3.06 (512) {G1,W3,D2,L1,V0,M1} R(59,116) { alpha2( skol15, skol20 ) }.
% 2.65/3.06 (7408) {G1,W4,D2,L1,V0,M1} R(118,94);r(117) { ! apply( skol20, skol23,
% 2.65/3.06 skol23 ) }.
% 2.65/3.06 (7462) {G2,W6,D2,L2,V1,M2} R(7408,89) { ! alpha2( X, skol20 ), ! member(
% 2.65/3.06 skol23, X ) }.
% 2.65/3.06 (12268) {G4,W10,D4,L2,V2,M2} R(151,125) { ! X = Y, skol1( unordered_pair( Y
% 2.65/3.06 , X ), empty_set ) ==> Y }.
% 2.65/3.06 (12290) {G4,W14,D4,L2,V2,M2} R(151,20) { skol1( unordered_pair( X, Y ),
% 2.65/3.06 empty_set ) ==> X, skol1( unordered_pair( X, Y ), empty_set ) ==> Y }.
% 2.65/3.06 (12306) {G5,W6,D2,L2,V2,M2} E(12290);d(12268) { ! X = Y, X = Y }.
% 2.65/3.06 (14519) {G6,W6,D2,L2,V1,M2} P(12306,117) { member( X, skol15 ), ! skol23 =
% 2.65/3.06 X }.
% 2.65/3.06 (23622) {G7,W0,D0,L0,V0,M0} R(7462,14519);q;r(512) { }.
% 2.65/3.06
% 2.65/3.06
% 2.65/3.06 % SZS output end Refutation
% 2.65/3.06 found a proof!
% 2.65/3.06
% 2.65/3.06
% 2.65/3.06 Unprocessed initial clauses:
% 2.65/3.06
% 2.65/3.06 (23624) {G0,W9,D2,L3,V3,M3} { ! subset( X, Y ), ! member( Z, X ), member(
% 2.65/3.06 Z, Y ) }.
% 2.65/3.06 (23625) {G0,W8,D3,L2,V3,M2} { ! member( skol1( Z, Y ), Y ), subset( X, Y )
% 2.65/3.06 }.
% 2.65/3.06 (23626) {G0,W8,D3,L2,V2,M2} { member( skol1( X, Y ), X ), subset( X, Y )
% 2.65/3.06 }.
% 2.65/3.06 (23627) {G0,W6,D2,L2,V2,M2} { ! equal_set( X, Y ), subset( X, Y ) }.
% 2.65/3.06 (23628) {G0,W6,D2,L2,V2,M2} { ! equal_set( X, Y ), subset( Y, X ) }.
% 2.65/3.06 (23629) {G0,W9,D2,L3,V2,M3} { ! subset( X, Y ), ! subset( Y, X ),
% 2.65/3.06 equal_set( X, Y ) }.
% 2.65/3.06 (23630) {G0,W7,D3,L2,V2,M2} { ! member( X, power_set( Y ) ), subset( X, Y
% 2.65/3.06 ) }.
% 2.65/3.06 (23631) {G0,W7,D3,L2,V2,M2} { ! subset( X, Y ), member( X, power_set( Y )
% 2.65/3.06 ) }.
% 2.65/3.06 (23632) {G0,W8,D3,L2,V3,M2} { ! member( X, intersection( Y, Z ) ), member
% 2.65/3.06 ( X, Y ) }.
% 2.65/3.06 (23633) {G0,W8,D3,L2,V3,M2} { ! member( X, intersection( Y, Z ) ), member
% 2.65/3.06 ( X, Z ) }.
% 2.65/3.06 (23634) {G0,W11,D3,L3,V3,M3} { ! member( X, Y ), ! member( X, Z ), member
% 2.65/3.06 ( X, intersection( Y, Z ) ) }.
% 2.65/3.06 (23635) {G0,W11,D3,L3,V3,M3} { ! member( X, union( Y, Z ) ), member( X, Y
% 2.65/3.06 ), member( X, Z ) }.
% 2.65/3.06 (23636) {G0,W8,D3,L2,V3,M2} { ! member( X, Y ), member( X, union( Y, Z ) )
% 2.65/3.06 }.
% 2.65/3.06 (23637) {G0,W8,D3,L2,V3,M2} { ! member( X, Z ), member( X, union( Y, Z ) )
% 2.65/3.06 }.
% 2.65/3.06 (23638) {G0,W3,D2,L1,V1,M1} { ! member( X, empty_set ) }.
% 2.65/3.06 (23639) {G0,W8,D3,L2,V3,M2} { ! member( X, difference( Z, Y ) ), member( X
% 2.65/3.06 , Z ) }.
% 2.65/3.06 (23640) {G0,W8,D3,L2,V3,M2} { ! member( X, difference( Z, Y ) ), ! member
% 2.65/3.06 ( X, Y ) }.
% 2.65/3.06 (23641) {G0,W11,D3,L3,V3,M3} { ! member( X, Z ), member( X, Y ), member( X
% 2.65/3.06 , difference( Z, Y ) ) }.
% 2.65/3.06 (23642) {G0,W7,D3,L2,V2,M2} { ! member( X, singleton( Y ) ), X = Y }.
% 2.65/3.06 (23643) {G0,W7,D3,L2,V2,M2} { ! X = Y, member( X, singleton( Y ) ) }.
% 2.65/3.06 (23644) {G0,W11,D3,L3,V3,M3} { ! member( X, unordered_pair( Y, Z ) ), X =
% 2.65/3.06 Y, X = Z }.
% 2.65/3.06 (23645) {G0,W8,D3,L2,V3,M2} { ! X = Y, member( X, unordered_pair( Y, Z ) )
% 2.65/3.06 }.
% 2.65/3.06 (23646) {G0,W8,D3,L2,V3,M2} { ! X = Z, member( X, unordered_pair( Y, Z ) )
% 2.65/3.06 }.
% 2.65/3.06 (23647) {G0,W9,D3,L2,V3,M2} { ! member( X, sum( Y ) ), member( skol2( Z, Y
% 2.65/3.06 ), Y ) }.
% 2.65/3.06 (23648) {G0,W9,D3,L2,V2,M2} { ! member( X, sum( Y ) ), member( X, skol2( X
% 2.65/3.06 , Y ) ) }.
% 2.65/3.06 (23649) {G0,W10,D3,L3,V3,M3} { ! member( Z, Y ), ! member( X, Z ), member
% 2.65/3.06 ( X, sum( Y ) ) }.
% 2.65/3.06 (23650) {G0,W10,D3,L3,V3,M3} { ! member( X, product( Y ) ), ! member( Z, Y
% 2.65/3.06 ), member( X, Z ) }.
% 2.65/3.06 (23651) {G0,W9,D3,L2,V3,M2} { member( skol3( Z, Y ), Y ), member( X,
% 2.65/3.06 product( Y ) ) }.
% 2.65/3.06 (23652) {G0,W9,D3,L2,V2,M2} { ! member( X, skol3( X, Y ) ), member( X,
% 2.65/3.06 product( Y ) ) }.
% 2.65/3.06 (23653) {G0,W9,D2,L3,V3,M3} { ! disjoint( X, Y ), ! member( Z, X ), !
% 2.65/3.06 member( Z, Y ) }.
% 2.65/3.06 (23654) {G0,W8,D3,L2,V3,M2} { member( skol4( Z, Y ), Y ), disjoint( X, Y )
% 2.65/3.06 }.
% 2.65/3.06 (23655) {G0,W8,D3,L2,V2,M2} { member( skol4( X, Y ), X ), disjoint( X, Y )
% 2.65/3.06 }.
% 2.65/3.06 (23656) {G0,W6,D2,L2,V2,M2} { ! partition( X, Y ), alpha4( X, Y ) }.
% 2.65/3.06 (23657) {G0,W6,D2,L2,V2,M2} { ! partition( X, Y ), alpha8( X, Y ) }.
% 2.65/3.06 (23658) {G0,W9,D2,L3,V2,M3} { ! alpha4( X, Y ), ! alpha8( X, Y ),
% 2.65/3.06 partition( X, Y ) }.
% 2.65/3.06 (23659) {G0,W6,D2,L2,V2,M2} { ! alpha8( X, Y ), alpha13( X, Y ) }.
% 2.65/3.06 (23660) {G0,W5,D2,L2,V2,M2} { ! alpha8( X, Y ), alpha1( X ) }.
% 2.65/3.06 (23661) {G0,W8,D2,L3,V2,M3} { ! alpha13( X, Y ), ! alpha1( X ), alpha8( X
% 2.65/3.06 , Y ) }.
% 2.65/3.06 (23662) {G0,W9,D2,L3,V3,M3} { ! alpha13( X, Y ), ! member( Z, Y ), alpha17
% 2.65/3.06 ( X, Z ) }.
% 2.65/3.06 (23663) {G0,W8,D3,L2,V3,M2} { member( skol5( Z, Y ), Y ), alpha13( X, Y )
% 2.65/3.06 }.
% 2.65/3.06 (23664) {G0,W8,D3,L2,V2,M2} { ! alpha17( X, skol5( X, Y ) ), alpha13( X, Y
% 2.65/3.06 ) }.
% 2.65/3.06 (23665) {G0,W8,D3,L2,V3,M2} { ! alpha17( X, Y ), member( Y, skol6( Z, Y )
% 2.65/3.06 ) }.
% 2.65/3.06 (23666) {G0,W8,D3,L2,V2,M2} { ! alpha17( X, Y ), member( skol6( X, Y ), X
% 2.65/3.06 ) }.
% 2.65/3.06 (23667) {G0,W9,D2,L3,V3,M3} { ! member( Z, X ), ! member( Y, Z ), alpha17
% 2.65/3.06 ( X, Y ) }.
% 2.65/3.06 (23668) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! member( Z, X ), subset(
% 2.65/3.06 Z, Y ) }.
% 2.65/3.06 (23669) {G0,W8,D3,L2,V3,M2} { ! subset( skol7( Z, Y ), Y ), alpha4( X, Y )
% 2.65/3.06 }.
% 2.65/3.06 (23670) {G0,W8,D3,L2,V2,M2} { member( skol7( X, Y ), X ), alpha4( X, Y )
% 2.65/3.06 }.
% 2.65/3.06 (23671) {G0,W9,D2,L3,V3,M3} { ! alpha1( X ), ! alpha9( X, Y, Z ), alpha5(
% 2.65/3.06 Y, Z ) }.
% 2.65/3.06 (23672) {G0,W8,D3,L2,V1,M2} { alpha9( X, skol8( X ), skol16( X ) ), alpha1
% 2.65/3.06 ( X ) }.
% 2.65/3.06 (23673) {G0,W7,D3,L2,V1,M2} { ! alpha5( skol8( X ), skol16( X ) ), alpha1
% 2.65/3.06 ( X ) }.
% 2.65/3.06 (23674) {G0,W7,D2,L2,V3,M2} { ! alpha9( X, Y, Z ), member( Y, X ) }.
% 2.65/3.06 (23675) {G0,W7,D2,L2,V3,M2} { ! alpha9( X, Y, Z ), member( Z, X ) }.
% 2.65/3.06 (23676) {G0,W10,D2,L3,V3,M3} { ! member( Y, X ), ! member( Z, X ), alpha9
% 2.65/3.06 ( X, Y, Z ) }.
% 2.65/3.06 (23677) {G0,W9,D2,L3,V2,M3} { ! alpha5( X, Y ), ! alpha10( X, Y ), X = Y
% 2.65/3.06 }.
% 2.65/3.06 (23678) {G0,W6,D2,L2,V2,M2} { alpha10( X, Y ), alpha5( X, Y ) }.
% 2.65/3.06 (23679) {G0,W6,D2,L2,V2,M2} { ! X = Y, alpha5( X, Y ) }.
% 2.65/3.06 (23680) {G0,W8,D3,L2,V3,M2} { ! alpha10( X, Y ), member( skol9( Z, Y ), Y
% 2.65/3.06 ) }.
% 2.65/3.06 (23681) {G0,W8,D3,L2,V2,M2} { ! alpha10( X, Y ), member( skol9( X, Y ), X
% 2.65/3.06 ) }.
% 2.65/3.06 (23682) {G0,W9,D2,L3,V3,M3} { ! member( Z, X ), ! member( Z, Y ), alpha10
% 2.65/3.06 ( X, Y ) }.
% 2.65/3.06 (23683) {G0,W6,D2,L2,V2,M2} { ! equivalence( Y, X ), alpha2( X, Y ) }.
% 2.65/3.06 (23684) {G0,W6,D2,L2,V2,M2} { ! equivalence( Y, X ), alpha6( X, Y ) }.
% 2.65/3.06 (23685) {G0,W9,D2,L3,V2,M3} { ! alpha2( X, Y ), ! alpha6( X, Y ),
% 2.65/3.06 equivalence( Y, X ) }.
% 2.65/3.06 (23686) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), alpha11( X, Y ) }.
% 2.65/3.06 (23687) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), alpha14( X, Y ) }.
% 2.65/3.06 (23688) {G0,W9,D2,L3,V2,M3} { ! alpha11( X, Y ), ! alpha14( X, Y ), alpha6
% 2.65/3.06 ( X, Y ) }.
% 2.65/3.06 (23689) {G0,W13,D2,L3,V5,M3} { ! alpha14( X, Y ), ! alpha21( X, Z, T, U )
% 2.65/3.06 , alpha23( Y, Z, T, U ) }.
% 2.65/3.06 (23690) {G0,W14,D3,L2,V2,M2} { alpha21( X, skol10( X, Y ), skol17( X, Y )
% 2.65/3.06 , skol21( X, Y ) ), alpha14( X, Y ) }.
% 2.65/3.06 (23691) {G0,W14,D3,L2,V2,M2} { ! alpha23( Y, skol10( X, Y ), skol17( X, Y
% 2.65/3.06 ), skol21( X, Y ) ), alpha14( X, Y ) }.
% 2.65/3.06 (23692) {G0,W14,D2,L3,V4,M3} { ! alpha23( X, Y, Z, T ), ! alpha24( X, Y, Z
% 2.65/3.06 , T ), apply( X, Y, T ) }.
% 2.65/3.06 (23693) {G0,W10,D2,L2,V4,M2} { alpha24( X, Y, Z, T ), alpha23( X, Y, Z, T
% 2.65/3.06 ) }.
% 2.65/3.06 (23694) {G0,W9,D2,L2,V4,M2} { ! apply( X, Y, T ), alpha23( X, Y, Z, T )
% 2.65/3.06 }.
% 2.65/3.06 (23695) {G0,W9,D2,L2,V4,M2} { ! alpha24( X, Y, Z, T ), apply( X, Y, Z )
% 2.65/3.06 }.
% 2.65/3.06 (23696) {G0,W9,D2,L2,V4,M2} { ! alpha24( X, Y, Z, T ), apply( X, Z, T )
% 2.65/3.06 }.
% 2.65/3.06 (23697) {G0,W13,D2,L3,V4,M3} { ! apply( X, Y, Z ), ! apply( X, Z, T ),
% 2.65/3.06 alpha24( X, Y, Z, T ) }.
% 2.65/3.06 (23698) {G0,W8,D2,L2,V4,M2} { ! alpha21( X, Y, Z, T ), member( Y, X ) }.
% 2.65/3.06 (23699) {G0,W9,D2,L2,V4,M2} { ! alpha21( X, Y, Z, T ), alpha18( X, Z, T )
% 2.65/3.06 }.
% 2.65/3.06 (23700) {G0,W12,D2,L3,V4,M3} { ! member( Y, X ), ! alpha18( X, Z, T ),
% 2.65/3.06 alpha21( X, Y, Z, T ) }.
% 2.65/3.06 (23701) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), member( Y, X ) }.
% 2.65/3.06 (23702) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), member( Z, X ) }.
% 2.65/3.06 (23703) {G0,W10,D2,L3,V3,M3} { ! member( Y, X ), ! member( Z, X ), alpha18
% 2.65/3.06 ( X, Y, Z ) }.
% 2.65/3.06 (23704) {G0,W11,D2,L3,V4,M3} { ! alpha11( X, Y ), ! alpha15( X, Z, T ),
% 2.65/3.06 alpha19( Y, Z, T ) }.
% 2.65/3.06 (23705) {G0,W11,D3,L2,V2,M2} { alpha15( X, skol11( X, Y ), skol18( X, Y )
% 2.65/3.06 ), alpha11( X, Y ) }.
% 2.65/3.06 (23706) {G0,W11,D3,L2,V2,M2} { ! alpha19( Y, skol11( X, Y ), skol18( X, Y
% 2.65/3.06 ) ), alpha11( X, Y ) }.
% 2.65/3.06 (23707) {G0,W12,D2,L3,V3,M3} { ! alpha19( X, Y, Z ), ! apply( X, Y, Z ),
% 2.65/3.06 apply( X, Z, Y ) }.
% 2.65/3.06 (23708) {G0,W8,D2,L2,V3,M2} { apply( X, Y, Z ), alpha19( X, Y, Z ) }.
% 2.65/3.06 (23709) {G0,W8,D2,L2,V3,M2} { ! apply( X, Z, Y ), alpha19( X, Y, Z ) }.
% 2.65/3.06 (23710) {G0,W7,D2,L2,V3,M2} { ! alpha15( X, Y, Z ), member( Y, X ) }.
% 2.65/3.06 (23711) {G0,W7,D2,L2,V3,M2} { ! alpha15( X, Y, Z ), member( Z, X ) }.
% 2.65/3.06 (23712) {G0,W10,D2,L3,V3,M3} { ! member( Y, X ), ! member( Z, X ), alpha15
% 2.65/3.06 ( X, Y, Z ) }.
% 2.65/3.06 (23713) {G0,W10,D2,L3,V3,M3} { ! alpha2( X, Y ), ! member( Z, X ), apply(
% 2.65/3.06 Y, Z, Z ) }.
% 2.65/3.06 (23714) {G0,W11,D3,L2,V3,M2} { ! apply( Y, skol12( Z, Y ), skol12( Z, Y )
% 2.65/3.06 ), alpha2( X, Y ) }.
% 2.65/3.06 (23715) {G0,W8,D3,L2,V2,M2} { member( skol12( X, Y ), X ), alpha2( X, Y )
% 2.65/3.06 }.
% 2.65/3.06 (23716) {G0,W9,D3,L2,V4,M2} { ! member( T, equivalence_class( Z, Y, X ) )
% 2.65/3.06 , member( T, Y ) }.
% 2.65/3.06 (23717) {G0,W10,D3,L2,V4,M2} { ! member( T, equivalence_class( Z, Y, X ) )
% 2.65/3.06 , apply( X, Z, T ) }.
% 2.65/3.06 (23718) {G0,W13,D3,L3,V4,M3} { ! member( T, Y ), ! apply( X, Z, T ),
% 2.65/3.06 member( T, equivalence_class( Z, Y, X ) ) }.
% 2.65/3.06 (23719) {G0,W6,D2,L2,V2,M2} { ! pre_order( X, Y ), alpha3( X, Y ) }.
% 2.65/3.06 (23720) {G0,W6,D2,L2,V2,M2} { ! pre_order( X, Y ), alpha7( X, Y ) }.
% 2.65/3.06 (23721) {G0,W9,D2,L3,V2,M3} { ! alpha3( X, Y ), ! alpha7( X, Y ),
% 2.65/3.06 pre_order( X, Y ) }.
% 2.65/3.06 (23722) {G0,W13,D2,L3,V5,M3} { ! alpha7( X, Y ), ! alpha16( Y, Z, T, U ),
% 2.65/3.06 alpha20( X, Z, T, U ) }.
% 2.65/3.06 (23723) {G0,W14,D3,L2,V2,M2} { alpha16( Y, skol13( X, Y ), skol19( X, Y )
% 2.65/3.06 , skol22( X, Y ) ), alpha7( X, Y ) }.
% 2.65/3.06 (23724) {G0,W14,D3,L2,V2,M2} { ! alpha20( X, skol13( X, Y ), skol19( X, Y
% 2.65/3.06 ), skol22( X, Y ) ), alpha7( X, Y ) }.
% 2.65/3.06 (23725) {G0,W14,D2,L3,V4,M3} { ! alpha20( X, Y, Z, T ), ! alpha22( X, Y, Z
% 2.65/3.06 , T ), apply( X, Y, T ) }.
% 2.65/3.06 (23726) {G0,W10,D2,L2,V4,M2} { alpha22( X, Y, Z, T ), alpha20( X, Y, Z, T
% 2.65/3.06 ) }.
% 2.65/3.06 (23727) {G0,W9,D2,L2,V4,M2} { ! apply( X, Y, T ), alpha20( X, Y, Z, T )
% 2.65/3.06 }.
% 2.65/3.06 (23728) {G0,W9,D2,L2,V4,M2} { ! alpha22( X, Y, Z, T ), apply( X, Y, Z )
% 2.65/3.06 }.
% 2.65/3.06 (23729) {G0,W9,D2,L2,V4,M2} { ! alpha22( X, Y, Z, T ), apply( X, Z, T )
% 2.65/3.06 }.
% 2.65/3.06 (23730) {G0,W13,D2,L3,V4,M3} { ! apply( X, Y, Z ), ! apply( X, Z, T ),
% 2.65/3.06 alpha22( X, Y, Z, T ) }.
% 2.65/3.06 (23731) {G0,W8,D2,L2,V4,M2} { ! alpha16( X, Y, Z, T ), member( Y, X ) }.
% 2.65/3.06 (23732) {G0,W9,D2,L2,V4,M2} { ! alpha16( X, Y, Z, T ), alpha12( X, Z, T )
% 2.65/3.06 }.
% 2.65/3.06 (23733) {G0,W12,D2,L3,V4,M3} { ! member( Y, X ), ! alpha12( X, Z, T ),
% 2.65/3.06 alpha16( X, Y, Z, T ) }.
% 2.65/3.06 (23734) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), member( Y, X ) }.
% 2.65/3.06 (23735) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), member( Z, X ) }.
% 2.65/3.06 (23736) {G0,W10,D2,L3,V3,M3} { ! member( Y, X ), ! member( Z, X ), alpha12
% 2.65/3.06 ( X, Y, Z ) }.
% 2.65/3.06 (23737) {G0,W10,D2,L3,V3,M3} { ! alpha3( X, Y ), ! member( Z, Y ), apply(
% 2.65/3.06 X, Z, Z ) }.
% 2.65/3.06 (23738) {G0,W8,D3,L2,V3,M2} { member( skol14( Z, Y ), Y ), alpha3( X, Y )
% 2.65/3.06 }.
% 2.65/3.06 (23739) {G0,W11,D3,L2,V2,M2} { ! apply( X, skol14( X, Y ), skol14( X, Y )
% 2.65/3.06 ), alpha3( X, Y ) }.
% 2.65/3.06 (23740) {G0,W3,D2,L1,V0,M1} { equivalence( skol20, skol15 ) }.
% 2.65/3.06 (23741) {G0,W3,D2,L1,V0,M1} { member( skol23, skol15 ) }.
% 2.65/3.06 (23742) {G0,W6,D3,L1,V0,M1} { ! member( skol23, equivalence_class( skol23
% 2.65/3.06 , skol15, skol20 ) ) }.
% 2.65/3.06
% 2.65/3.06
% 2.65/3.06 Total Proof:
% 2.65/3.06
% 2.65/3.06 subsumption: (0) {G0,W9,D2,L3,V3,M3} I { ! subset( X, Y ), ! member( Z, X )
% 2.65/3.06 , member( Z, Y ) }.
% 2.65/3.06 parent0: (23624) {G0,W9,D2,L3,V3,M3} { ! subset( X, Y ), ! member( Z, X )
% 2.65/3.06 , member( Z, Y ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := Z
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 1 ==> 1
% 2.65/3.06 2 ==> 2
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (2) {G0,W8,D3,L2,V2,M2} I { member( skol1( X, Y ), X ), subset
% 2.65/3.06 ( X, Y ) }.
% 2.65/3.06 parent0: (23626) {G0,W8,D3,L2,V2,M2} { member( skol1( X, Y ), X ), subset
% 2.65/3.06 ( X, Y ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 1 ==> 1
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (14) {G0,W3,D2,L1,V1,M1} I { ! member( X, empty_set ) }.
% 2.65/3.06 parent0: (23638) {G0,W3,D2,L1,V1,M1} { ! member( X, empty_set ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (20) {G0,W11,D3,L3,V3,M3} I { ! member( X, unordered_pair( Y,
% 2.65/3.06 Z ) ), X = Y, X = Z }.
% 2.65/3.06 parent0: (23644) {G0,W11,D3,L3,V3,M3} { ! member( X, unordered_pair( Y, Z
% 2.65/3.06 ) ), X = Y, X = Z }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := Z
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 1 ==> 1
% 2.65/3.06 2 ==> 2
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (21) {G0,W8,D3,L2,V3,M2} I { ! X = Y, member( X,
% 2.65/3.06 unordered_pair( Y, Z ) ) }.
% 2.65/3.06 parent0: (23645) {G0,W8,D3,L2,V3,M2} { ! X = Y, member( X, unordered_pair
% 2.65/3.06 ( Y, Z ) ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := Z
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 1 ==> 1
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (59) {G0,W6,D2,L2,V2,M2} I { ! equivalence( Y, X ), alpha2( X
% 2.65/3.06 , Y ) }.
% 2.65/3.06 parent0: (23683) {G0,W6,D2,L2,V2,M2} { ! equivalence( Y, X ), alpha2( X, Y
% 2.65/3.06 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 1 ==> 1
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (89) {G0,W10,D2,L3,V3,M3} I { ! alpha2( X, Y ), ! member( Z, X
% 2.65/3.06 ), apply( Y, Z, Z ) }.
% 2.65/3.06 parent0: (23713) {G0,W10,D2,L3,V3,M3} { ! alpha2( X, Y ), ! member( Z, X )
% 2.65/3.06 , apply( Y, Z, Z ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := Z
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 1 ==> 1
% 2.65/3.06 2 ==> 2
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (94) {G0,W13,D3,L3,V4,M3} I { ! member( T, Y ), ! apply( X, Z
% 2.65/3.06 , T ), member( T, equivalence_class( Z, Y, X ) ) }.
% 2.65/3.06 parent0: (23718) {G0,W13,D3,L3,V4,M3} { ! member( T, Y ), ! apply( X, Z, T
% 2.65/3.06 ), member( T, equivalence_class( Z, Y, X ) ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := Z
% 2.65/3.06 T := T
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 1 ==> 1
% 2.65/3.06 2 ==> 2
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (116) {G0,W3,D2,L1,V0,M1} I { equivalence( skol20, skol15 )
% 2.65/3.06 }.
% 2.65/3.06 parent0: (23740) {G0,W3,D2,L1,V0,M1} { equivalence( skol20, skol15 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (117) {G0,W3,D2,L1,V0,M1} I { member( skol23, skol15 ) }.
% 2.65/3.06 parent0: (23741) {G0,W3,D2,L1,V0,M1} { member( skol23, skol15 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (118) {G0,W6,D3,L1,V0,M1} I { ! member( skol23,
% 2.65/3.06 equivalence_class( skol23, skol15, skol20 ) ) }.
% 2.65/3.06 parent0: (23742) {G0,W6,D3,L1,V0,M1} { ! member( skol23, equivalence_class
% 2.65/3.06 ( skol23, skol15, skol20 ) ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 eqfact: (23920) {G0,W11,D3,L3,V3,M3} { ! X = Y, ! member( Z,
% 2.65/3.06 unordered_pair( Y, X ) ), Z = Y }.
% 2.65/3.06 parent0[2, 1]: (20) {G0,W11,D3,L3,V3,M3} I { ! member( X, unordered_pair( Y
% 2.65/3.06 , Z ) ), X = Y, X = Z }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := Z
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := X
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (125) {G1,W11,D3,L3,V3,M3} E(20) { ! X = Y, ! member( Z,
% 2.65/3.06 unordered_pair( Y, X ) ), Z = Y }.
% 2.65/3.06 parent0: (23920) {G0,W11,D3,L3,V3,M3} { ! X = Y, ! member( Z,
% 2.65/3.06 unordered_pair( Y, X ) ), Z = Y }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := Z
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 1 ==> 1
% 2.65/3.06 2 ==> 2
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 eqswap: (23927) {G0,W8,D3,L2,V3,M2} { ! Y = X, member( X, unordered_pair(
% 2.65/3.06 Y, Z ) ) }.
% 2.65/3.06 parent0[0]: (21) {G0,W8,D3,L2,V3,M2} I { ! X = Y, member( X, unordered_pair
% 2.65/3.06 ( Y, Z ) ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := Z
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 eqrefl: (23928) {G0,W5,D3,L1,V2,M1} { member( X, unordered_pair( X, Y ) )
% 2.65/3.06 }.
% 2.65/3.06 parent0[0]: (23927) {G0,W8,D3,L2,V3,M2} { ! Y = X, member( X,
% 2.65/3.06 unordered_pair( Y, Z ) ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := X
% 2.65/3.06 Z := Y
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (126) {G1,W5,D3,L1,V2,M1} Q(21) { member( X, unordered_pair( X
% 2.65/3.06 , Y ) ) }.
% 2.65/3.06 parent0: (23928) {G0,W5,D3,L1,V2,M1} { member( X, unordered_pair( X, Y ) )
% 2.65/3.06 }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (23929) {G1,W6,D2,L2,V2,M2} { ! subset( Y, empty_set ), !
% 2.65/3.06 member( X, Y ) }.
% 2.65/3.06 parent0[0]: (14) {G0,W3,D2,L1,V1,M1} I { ! member( X, empty_set ) }.
% 2.65/3.06 parent1[2]: (0) {G0,W9,D2,L3,V3,M3} I { ! subset( X, Y ), ! member( Z, X )
% 2.65/3.06 , member( Z, Y ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := Y
% 2.65/3.06 Y := empty_set
% 2.65/3.06 Z := X
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (142) {G1,W6,D2,L2,V2,M2} R(0,14) { ! subset( X, empty_set ),
% 2.65/3.06 ! member( Y, X ) }.
% 2.65/3.06 parent0: (23929) {G1,W6,D2,L2,V2,M2} { ! subset( Y, empty_set ), ! member
% 2.65/3.06 ( X, Y ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := Y
% 2.65/3.06 Y := X
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 1 ==> 1
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (23930) {G2,W5,D3,L1,V2,M1} { ! subset( unordered_pair( X, Y )
% 2.65/3.06 , empty_set ) }.
% 2.65/3.06 parent0[1]: (142) {G1,W6,D2,L2,V2,M2} R(0,14) { ! subset( X, empty_set ), !
% 2.65/3.06 member( Y, X ) }.
% 2.65/3.06 parent1[0]: (126) {G1,W5,D3,L1,V2,M1} Q(21) { member( X, unordered_pair( X
% 2.65/3.06 , Y ) ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := unordered_pair( X, Y )
% 2.65/3.06 Y := X
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (145) {G2,W5,D3,L1,V2,M1} R(142,126) { ! subset(
% 2.65/3.06 unordered_pair( X, Y ), empty_set ) }.
% 2.65/3.06 parent0: (23930) {G2,W5,D3,L1,V2,M1} { ! subset( unordered_pair( X, Y ),
% 2.65/3.06 empty_set ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (23931) {G1,W9,D4,L1,V2,M1} { member( skol1( unordered_pair( X
% 2.65/3.06 , Y ), empty_set ), unordered_pair( X, Y ) ) }.
% 2.65/3.06 parent0[0]: (145) {G2,W5,D3,L1,V2,M1} R(142,126) { ! subset( unordered_pair
% 2.65/3.06 ( X, Y ), empty_set ) }.
% 2.65/3.06 parent1[1]: (2) {G0,W8,D3,L2,V2,M2} I { member( skol1( X, Y ), X ), subset
% 2.65/3.06 ( X, Y ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := unordered_pair( X, Y )
% 2.65/3.06 Y := empty_set
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (151) {G3,W9,D4,L1,V2,M1} R(2,145) { member( skol1(
% 2.65/3.06 unordered_pair( X, Y ), empty_set ), unordered_pair( X, Y ) ) }.
% 2.65/3.06 parent0: (23931) {G1,W9,D4,L1,V2,M1} { member( skol1( unordered_pair( X, Y
% 2.65/3.06 ), empty_set ), unordered_pair( X, Y ) ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (23932) {G1,W3,D2,L1,V0,M1} { alpha2( skol15, skol20 ) }.
% 2.65/3.06 parent0[0]: (59) {G0,W6,D2,L2,V2,M2} I { ! equivalence( Y, X ), alpha2( X,
% 2.65/3.06 Y ) }.
% 2.65/3.06 parent1[0]: (116) {G0,W3,D2,L1,V0,M1} I { equivalence( skol20, skol15 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol15
% 2.65/3.06 Y := skol20
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (512) {G1,W3,D2,L1,V0,M1} R(59,116) { alpha2( skol15, skol20 )
% 2.65/3.06 }.
% 2.65/3.06 parent0: (23932) {G1,W3,D2,L1,V0,M1} { alpha2( skol15, skol20 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (23933) {G1,W7,D2,L2,V0,M2} { ! member( skol23, skol15 ), !
% 2.65/3.06 apply( skol20, skol23, skol23 ) }.
% 2.65/3.06 parent0[0]: (118) {G0,W6,D3,L1,V0,M1} I { ! member( skol23,
% 2.65/3.06 equivalence_class( skol23, skol15, skol20 ) ) }.
% 2.65/3.06 parent1[2]: (94) {G0,W13,D3,L3,V4,M3} I { ! member( T, Y ), ! apply( X, Z,
% 2.65/3.06 T ), member( T, equivalence_class( Z, Y, X ) ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := skol20
% 2.65/3.06 Y := skol15
% 2.65/3.06 Z := skol23
% 2.65/3.06 T := skol23
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (23934) {G1,W4,D2,L1,V0,M1} { ! apply( skol20, skol23, skol23
% 2.65/3.06 ) }.
% 2.65/3.06 parent0[0]: (23933) {G1,W7,D2,L2,V0,M2} { ! member( skol23, skol15 ), !
% 2.65/3.06 apply( skol20, skol23, skol23 ) }.
% 2.65/3.06 parent1[0]: (117) {G0,W3,D2,L1,V0,M1} I { member( skol23, skol15 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (7408) {G1,W4,D2,L1,V0,M1} R(118,94);r(117) { ! apply( skol20
% 2.65/3.06 , skol23, skol23 ) }.
% 2.65/3.06 parent0: (23934) {G1,W4,D2,L1,V0,M1} { ! apply( skol20, skol23, skol23 )
% 2.65/3.06 }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (23935) {G1,W6,D2,L2,V1,M2} { ! alpha2( X, skol20 ), ! member
% 2.65/3.06 ( skol23, X ) }.
% 2.65/3.06 parent0[0]: (7408) {G1,W4,D2,L1,V0,M1} R(118,94);r(117) { ! apply( skol20,
% 2.65/3.06 skol23, skol23 ) }.
% 2.65/3.06 parent1[2]: (89) {G0,W10,D2,L3,V3,M3} I { ! alpha2( X, Y ), ! member( Z, X
% 2.65/3.06 ), apply( Y, Z, Z ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := X
% 2.65/3.06 Y := skol20
% 2.65/3.06 Z := skol23
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (7462) {G2,W6,D2,L2,V1,M2} R(7408,89) { ! alpha2( X, skol20 )
% 2.65/3.06 , ! member( skol23, X ) }.
% 2.65/3.06 parent0: (23935) {G1,W6,D2,L2,V1,M2} { ! alpha2( X, skol20 ), ! member(
% 2.65/3.06 skol23, X ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 1 ==> 1
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 eqswap: (23936) {G1,W11,D3,L3,V3,M3} { ! Y = X, ! member( Z,
% 2.65/3.06 unordered_pair( Y, X ) ), Z = Y }.
% 2.65/3.06 parent0[0]: (125) {G1,W11,D3,L3,V3,M3} E(20) { ! X = Y, ! member( Z,
% 2.65/3.06 unordered_pair( Y, X ) ), Z = Y }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := Z
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (23939) {G2,W10,D4,L2,V2,M2} { ! X = Y, skol1( unordered_pair
% 2.65/3.06 ( X, Y ), empty_set ) = X }.
% 2.65/3.06 parent0[1]: (23936) {G1,W11,D3,L3,V3,M3} { ! Y = X, ! member( Z,
% 2.65/3.06 unordered_pair( Y, X ) ), Z = Y }.
% 2.65/3.06 parent1[0]: (151) {G3,W9,D4,L1,V2,M1} R(2,145) { member( skol1(
% 2.65/3.06 unordered_pair( X, Y ), empty_set ), unordered_pair( X, Y ) ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := Y
% 2.65/3.06 Y := X
% 2.65/3.06 Z := skol1( unordered_pair( X, Y ), empty_set )
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 eqswap: (23940) {G2,W10,D4,L2,V2,M2} { ! Y = X, skol1( unordered_pair( X,
% 2.65/3.06 Y ), empty_set ) = X }.
% 2.65/3.06 parent0[0]: (23939) {G2,W10,D4,L2,V2,M2} { ! X = Y, skol1( unordered_pair
% 2.65/3.06 ( X, Y ), empty_set ) = X }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (12268) {G4,W10,D4,L2,V2,M2} R(151,125) { ! X = Y, skol1(
% 2.65/3.06 unordered_pair( Y, X ), empty_set ) ==> Y }.
% 2.65/3.06 parent0: (23940) {G2,W10,D4,L2,V2,M2} { ! Y = X, skol1( unordered_pair( X
% 2.65/3.06 , Y ), empty_set ) = X }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := Y
% 2.65/3.06 Y := X
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 1 ==> 1
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 eqswap: (23943) {G0,W11,D3,L3,V3,M3} { Y = X, ! member( X, unordered_pair
% 2.65/3.06 ( Y, Z ) ), X = Z }.
% 2.65/3.06 parent0[1]: (20) {G0,W11,D3,L3,V3,M3} I { ! member( X, unordered_pair( Y, Z
% 2.65/3.06 ) ), X = Y, X = Z }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := Z
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (23946) {G1,W14,D4,L2,V2,M2} { X = skol1( unordered_pair( X, Y
% 2.65/3.06 ), empty_set ), skol1( unordered_pair( X, Y ), empty_set ) = Y }.
% 2.65/3.06 parent0[1]: (23943) {G0,W11,D3,L3,V3,M3} { Y = X, ! member( X,
% 2.65/3.06 unordered_pair( Y, Z ) ), X = Z }.
% 2.65/3.06 parent1[0]: (151) {G3,W9,D4,L1,V2,M1} R(2,145) { member( skol1(
% 2.65/3.06 unordered_pair( X, Y ), empty_set ), unordered_pair( X, Y ) ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol1( unordered_pair( X, Y ), empty_set )
% 2.65/3.06 Y := X
% 2.65/3.06 Z := Y
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 eqswap: (23947Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------