TSTP Solution File: SEU307+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SEU307+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n007.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 : Tue Jul 19 07:12:19 EDT 2022
% Result : Theorem 30.07s 30.47s
% Output : Refutation 30.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU307+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n007.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Sun Jun 19 10:34:59 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.76/1.13 *** allocated 10000 integers for termspace/termends
% 0.76/1.13 *** allocated 10000 integers for clauses
% 0.76/1.13 *** allocated 10000 integers for justifications
% 0.76/1.13 Bliksem 1.12
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 Automatic Strategy Selection
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 Clauses:
% 0.76/1.13
% 0.76/1.13 { ! in( X, Y ), ! in( Y, X ) }.
% 0.76/1.13 { && }.
% 0.76/1.13 { ! v5_membered( X ), v4_membered( X ) }.
% 0.76/1.13 { ! v4_membered( X ), v3_membered( X ) }.
% 0.76/1.13 { ! v3_membered( X ), v2_membered( X ) }.
% 0.76/1.13 { ! v2_membered( X ), v1_membered( X ) }.
% 0.76/1.13 { ! empty( skol1 ) }.
% 0.76/1.13 { v1_membered( skol1 ) }.
% 0.76/1.13 { v2_membered( skol1 ) }.
% 0.76/1.13 { v3_membered( skol1 ) }.
% 0.76/1.13 { v4_membered( skol1 ) }.
% 0.76/1.13 { v5_membered( skol1 ) }.
% 0.76/1.13 { ! v1_membered( X ), ! element( Y, X ), v1_xcmplx_0( Y ) }.
% 0.76/1.13 { ! v2_membered( X ), ! element( Y, X ), v1_xcmplx_0( Y ) }.
% 0.76/1.13 { ! v2_membered( X ), ! element( Y, X ), v1_xreal_0( Y ) }.
% 0.76/1.13 { ! v3_membered( X ), ! element( Y, X ), v1_xcmplx_0( Y ) }.
% 0.76/1.13 { ! v3_membered( X ), ! element( Y, X ), v1_xreal_0( Y ) }.
% 0.76/1.13 { ! v3_membered( X ), ! element( Y, X ), v1_rat_1( Y ) }.
% 0.76/1.13 { ! v4_membered( X ), ! element( Y, X ), alpha1( Y ) }.
% 0.76/1.13 { ! v4_membered( X ), ! element( Y, X ), v1_rat_1( Y ) }.
% 0.76/1.13 { ! alpha1( X ), v1_xcmplx_0( X ) }.
% 0.76/1.13 { ! alpha1( X ), v1_xreal_0( X ) }.
% 0.76/1.13 { ! alpha1( X ), v1_int_1( X ) }.
% 0.76/1.13 { ! v1_xcmplx_0( X ), ! v1_xreal_0( X ), ! v1_int_1( X ), alpha1( X ) }.
% 0.76/1.13 { ! v5_membered( X ), ! element( Y, X ), alpha2( Y ) }.
% 0.76/1.13 { ! v5_membered( X ), ! element( Y, X ), v1_rat_1( Y ) }.
% 0.76/1.13 { ! alpha2( X ), alpha10( X ) }.
% 0.76/1.13 { ! alpha2( X ), v1_int_1( X ) }.
% 0.76/1.13 { ! alpha10( X ), ! v1_int_1( X ), alpha2( X ) }.
% 0.76/1.13 { ! alpha10( X ), v1_xcmplx_0( X ) }.
% 0.76/1.13 { ! alpha10( X ), natural( X ) }.
% 0.76/1.13 { ! alpha10( X ), v1_xreal_0( X ) }.
% 0.76/1.13 { ! v1_xcmplx_0( X ), ! natural( X ), ! v1_xreal_0( X ), alpha10( X ) }.
% 0.76/1.13 { empty( empty_set ) }.
% 0.76/1.13 { v1_membered( empty_set ) }.
% 0.76/1.13 { v2_membered( empty_set ) }.
% 0.76/1.13 { v3_membered( empty_set ) }.
% 0.76/1.13 { v4_membered( empty_set ) }.
% 0.76/1.13 { v5_membered( empty_set ) }.
% 0.76/1.13 { ! v1_membered( X ), ! element( Y, powerset( X ) ), v1_membered( Y ) }.
% 0.76/1.13 { ! v2_membered( X ), ! element( Y, powerset( X ) ), v1_membered( Y ) }.
% 0.76/1.13 { ! v2_membered( X ), ! element( Y, powerset( X ) ), v2_membered( Y ) }.
% 0.76/1.13 { ! v3_membered( X ), ! element( Y, powerset( X ) ), v1_membered( Y ) }.
% 0.76/1.13 { ! v3_membered( X ), ! element( Y, powerset( X ) ), v2_membered( Y ) }.
% 0.76/1.13 { ! v3_membered( X ), ! element( Y, powerset( X ) ), v3_membered( Y ) }.
% 0.76/1.13 { ! v4_membered( X ), ! element( Y, powerset( X ) ), alpha3( Y ) }.
% 0.76/1.13 { ! v4_membered( X ), ! element( Y, powerset( X ) ), v4_membered( Y ) }.
% 0.76/1.13 { ! alpha3( X ), v1_membered( X ) }.
% 0.76/1.13 { ! alpha3( X ), v2_membered( X ) }.
% 0.76/1.13 { ! alpha3( X ), v3_membered( X ) }.
% 0.76/1.13 { ! v1_membered( X ), ! v2_membered( X ), ! v3_membered( X ), alpha3( X ) }
% 0.76/1.13 .
% 0.76/1.13 { ! v5_membered( X ), ! element( Y, powerset( X ) ), alpha4( Y ) }.
% 0.76/1.13 { ! v5_membered( X ), ! element( Y, powerset( X ) ), v5_membered( Y ) }.
% 0.76/1.13 { ! alpha4( X ), alpha11( X ) }.
% 0.76/1.13 { ! alpha4( X ), v4_membered( X ) }.
% 0.76/1.13 { ! alpha11( X ), ! v4_membered( X ), alpha4( X ) }.
% 0.76/1.13 { ! alpha11( X ), v1_membered( X ) }.
% 0.76/1.13 { ! alpha11( X ), v2_membered( X ) }.
% 0.76/1.13 { ! alpha11( X ), v3_membered( X ) }.
% 0.76/1.13 { ! v1_membered( X ), ! v2_membered( X ), ! v3_membered( X ), alpha11( X )
% 0.76/1.13 }.
% 0.76/1.13 { ! v1_membered( X ), v1_membered( set_intersection2( X, Y ) ) }.
% 0.76/1.13 { ! v1_membered( X ), v1_membered( set_intersection2( Y, X ) ) }.
% 0.76/1.13 { ! v2_membered( X ), v1_membered( set_intersection2( X, Y ) ) }.
% 0.76/1.13 { ! v2_membered( X ), v2_membered( set_intersection2( X, Y ) ) }.
% 0.76/1.13 { ! v2_membered( X ), v1_membered( set_intersection2( Y, X ) ) }.
% 0.76/1.13 { ! v2_membered( X ), v2_membered( set_intersection2( Y, X ) ) }.
% 0.76/1.13 { ! v3_membered( X ), v1_membered( set_intersection2( X, Y ) ) }.
% 0.76/1.13 { ! v3_membered( X ), v2_membered( set_intersection2( X, Y ) ) }.
% 0.76/1.13 { ! v3_membered( X ), v3_membered( set_intersection2( X, Y ) ) }.
% 0.76/1.13 { ! v3_membered( X ), v1_membered( set_intersection2( Y, X ) ) }.
% 0.76/1.13 { ! v3_membered( X ), v2_membered( set_intersection2( Y, X ) ) }.
% 0.76/1.13 { ! v3_membered( X ), v3_membered( set_intersection2( Y, X ) ) }.
% 0.76/1.13 { ! v4_membered( X ), alpha5( X, Y ) }.
% 0.76/1.13 { ! v4_membered( X ), v4_membered( set_intersection2( X, Y ) ) }.
% 0.76/1.13 { ! alpha5( X, Y ), v1_membered( set_intersection2( X, Y ) ) }.
% 0.76/1.13 { ! alpha5( X, Y ), v2_membered( set_intersection2( X, Y ) ) }.
% 0.76/1.13 { ! alpha5( X, Y ), v3_membered( set_intersection2( X, Y ) ) }.
% 0.78/1.19 { ! v1_membered( set_intersection2( X, Y ) ), ! v2_membered(
% 0.78/1.19 set_intersection2( X, Y ) ), ! v3_membered( set_intersection2( X, Y ) ),
% 0.78/1.19 alpha5( X, Y ) }.
% 0.78/1.19 { ! v4_membered( X ), alpha6( X, Y ) }.
% 0.78/1.19 { ! v4_membered( X ), v4_membered( set_intersection2( Y, X ) ) }.
% 0.78/1.19 { ! alpha6( X, Y ), v1_membered( set_intersection2( Y, X ) ) }.
% 0.78/1.19 { ! alpha6( X, Y ), v2_membered( set_intersection2( Y, X ) ) }.
% 0.78/1.19 { ! alpha6( X, Y ), v3_membered( set_intersection2( Y, X ) ) }.
% 0.78/1.19 { ! v1_membered( set_intersection2( Y, X ) ), ! v2_membered(
% 0.78/1.19 set_intersection2( Y, X ) ), ! v3_membered( set_intersection2( Y, X ) ),
% 0.78/1.19 alpha6( X, Y ) }.
% 0.78/1.19 { ! v5_membered( X ), alpha7( X, Y ) }.
% 0.78/1.19 { ! v5_membered( X ), v5_membered( set_intersection2( X, Y ) ) }.
% 0.78/1.19 { ! alpha7( X, Y ), alpha12( X, Y ) }.
% 0.78/1.19 { ! alpha7( X, Y ), v4_membered( set_intersection2( X, Y ) ) }.
% 0.78/1.19 { ! alpha12( X, Y ), ! v4_membered( set_intersection2( X, Y ) ), alpha7( X
% 0.78/1.19 , Y ) }.
% 0.78/1.19 { ! alpha12( X, Y ), v1_membered( set_intersection2( X, Y ) ) }.
% 0.78/1.19 { ! alpha12( X, Y ), v2_membered( set_intersection2( X, Y ) ) }.
% 0.78/1.19 { ! alpha12( X, Y ), v3_membered( set_intersection2( X, Y ) ) }.
% 0.78/1.19 { ! v1_membered( set_intersection2( X, Y ) ), ! v2_membered(
% 0.78/1.19 set_intersection2( X, Y ) ), ! v3_membered( set_intersection2( X, Y ) ),
% 0.78/1.19 alpha12( X, Y ) }.
% 0.78/1.19 { ! v5_membered( X ), alpha8( X, Y ) }.
% 0.78/1.19 { ! v5_membered( X ), v5_membered( set_intersection2( Y, X ) ) }.
% 0.78/1.19 { ! alpha8( X, Y ), alpha13( X, Y ) }.
% 0.78/1.19 { ! alpha8( X, Y ), v4_membered( set_intersection2( Y, X ) ) }.
% 0.78/1.19 { ! alpha13( X, Y ), ! v4_membered( set_intersection2( Y, X ) ), alpha8( X
% 0.78/1.19 , Y ) }.
% 0.78/1.19 { ! alpha13( X, Y ), v1_membered( set_intersection2( Y, X ) ) }.
% 0.78/1.19 { ! alpha13( X, Y ), v2_membered( set_intersection2( Y, X ) ) }.
% 0.78/1.19 { ! alpha13( X, Y ), v3_membered( set_intersection2( Y, X ) ) }.
% 0.78/1.19 { ! v1_membered( set_intersection2( Y, X ) ), ! v2_membered(
% 0.78/1.19 set_intersection2( Y, X ) ), ! v3_membered( set_intersection2( Y, X ) ),
% 0.78/1.19 alpha13( X, Y ) }.
% 0.78/1.19 { ! in( X, Y ), element( X, Y ) }.
% 0.78/1.19 { set_intersection2( X, empty_set ) = empty_set }.
% 0.78/1.19 { ! in( X, Z ), ! element( Z, powerset( Y ) ), element( X, Y ) }.
% 0.78/1.19 { ! in( X, Y ), ! element( Y, powerset( Z ) ), ! empty( Z ) }.
% 0.78/1.19 { empty( X ), ! empty( skol2( Y ) ) }.
% 0.78/1.19 { empty( X ), element( skol2( X ), powerset( X ) ) }.
% 0.78/1.19 { empty( skol3( Y ) ) }.
% 0.78/1.19 { element( skol3( X ), powerset( X ) ) }.
% 0.78/1.19 { ! empty( X ), alpha9( X ) }.
% 0.78/1.19 { ! empty( X ), v5_membered( X ) }.
% 0.78/1.19 { ! alpha9( X ), alpha14( X ) }.
% 0.78/1.19 { ! alpha9( X ), v4_membered( X ) }.
% 0.78/1.19 { ! alpha14( X ), ! v4_membered( X ), alpha9( X ) }.
% 0.78/1.19 { ! alpha14( X ), v1_membered( X ) }.
% 0.78/1.19 { ! alpha14( X ), v2_membered( X ) }.
% 0.78/1.19 { ! alpha14( X ), v3_membered( X ) }.
% 0.78/1.19 { ! v1_membered( X ), ! v2_membered( X ), ! v3_membered( X ), alpha14( X )
% 0.78/1.19 }.
% 0.78/1.19 { ! element( X, Y ), empty( Y ), in( X, Y ) }.
% 0.78/1.19 { ! empty( X ), X = empty_set }.
% 0.78/1.19 { ! in( X, Y ), ! empty( Y ) }.
% 0.78/1.19 { ! empty( X ), X = Y, ! empty( Y ) }.
% 0.78/1.19 { set_intersection2( X, Y ) = set_intersection2( Y, X ) }.
% 0.78/1.19 { set_intersection2( X, X ) = X }.
% 0.78/1.19 { ! element( Y, powerset( X ) ), ! element( Z, powerset( X ) ),
% 0.78/1.19 subset_intersection2( X, Y, Z ) = subset_intersection2( X, Z, Y ) }.
% 0.78/1.19 { ! element( Y, powerset( X ) ), ! element( Z, powerset( X ) ),
% 0.78/1.19 subset_intersection2( X, Y, Y ) = Y }.
% 0.78/1.19 { subset( X, X ) }.
% 0.78/1.19 { one_sorted_str( skol4 ) }.
% 0.78/1.19 { element( skol5( X ), X ) }.
% 0.78/1.19 { ! element( Y, powerset( X ) ), ! element( Z, powerset( X ) ),
% 0.78/1.19 subset_intersection2( X, Y, Z ) = set_intersection2( Y, Z ) }.
% 0.78/1.19 { && }.
% 0.78/1.19 { ! one_sorted_str( X ), element( cast_as_carrier_subset( X ), powerset(
% 0.78/1.19 the_carrier( X ) ) ) }.
% 0.78/1.19 { && }.
% 0.78/1.19 { ! element( Y, powerset( X ) ), ! element( Z, powerset( X ) ), element(
% 0.78/1.19 subset_intersection2( X, Y, Z ), powerset( X ) ) }.
% 0.78/1.19 { && }.
% 0.78/1.19 { && }.
% 0.78/1.19 { && }.
% 0.78/1.19 { ! empty( powerset( X ) ) }.
% 0.78/1.19 { ! element( X, powerset( Y ) ), subset( X, Y ) }.
% 0.78/1.19 { ! subset( X, Y ), element( X, powerset( Y ) ) }.
% 0.78/1.19 { ! one_sorted_str( X ), cast_as_carrier_subset( X ) = the_carrier( X ) }.
% 0.78/1.19 { one_sorted_str( skol6 ) }.
% 0.78/1.19 { element( skol7, powerset( the_carrier( skol6 ) ) ) }.
% 0.78/1.19 { ! subset_intersection2( the_carrier( skol6 ), skol7,
% 0.78/1.19 cast_as_carrier_subset( skol6 ) ) = skol7 }.
% 0.78/1.19 { ! subset( X, Y ), set_intersection2( X, Y ) = X }.
% 10.33/10.72
% 10.33/10.72 percentage equality = 0.035714, percentage horn = 0.985816
% 10.33/10.72 This is a problem with some equality
% 10.33/10.72
% 10.33/10.72
% 10.33/10.72
% 10.33/10.72 Options Used:
% 10.33/10.72
% 10.33/10.72 useres = 1
% 10.33/10.72 useparamod = 1
% 10.33/10.72 useeqrefl = 1
% 10.33/10.72 useeqfact = 1
% 10.33/10.72 usefactor = 1
% 10.33/10.72 usesimpsplitting = 0
% 10.33/10.72 usesimpdemod = 5
% 10.33/10.72 usesimpres = 3
% 10.33/10.72
% 10.33/10.72 resimpinuse = 1000
% 10.33/10.72 resimpclauses = 20000
% 10.33/10.72 substype = eqrewr
% 10.33/10.72 backwardsubs = 1
% 10.33/10.72 selectoldest = 5
% 10.33/10.72
% 10.33/10.72 litorderings [0] = split
% 10.33/10.72 litorderings [1] = extend the termordering, first sorting on arguments
% 10.33/10.72
% 10.33/10.72 termordering = kbo
% 10.33/10.72
% 10.33/10.72 litapriori = 0
% 10.33/10.72 termapriori = 1
% 10.33/10.72 litaposteriori = 0
% 10.33/10.72 termaposteriori = 0
% 10.33/10.72 demodaposteriori = 0
% 10.33/10.72 ordereqreflfact = 0
% 10.33/10.72
% 10.33/10.72 litselect = negord
% 10.33/10.72
% 10.33/10.72 maxweight = 15
% 10.33/10.72 maxdepth = 30000
% 10.33/10.72 maxlength = 115
% 10.33/10.72 maxnrvars = 195
% 10.33/10.72 excuselevel = 1
% 10.33/10.72 increasemaxweight = 1
% 10.33/10.72
% 10.33/10.72 maxselected = 10000000
% 10.33/10.72 maxnrclauses = 10000000
% 10.33/10.72
% 10.33/10.72 showgenerated = 0
% 10.33/10.72 showkept = 0
% 10.33/10.72 showselected = 0
% 10.33/10.72 showdeleted = 0
% 10.33/10.72 showresimp = 1
% 10.33/10.72 showstatus = 2000
% 10.33/10.72
% 10.33/10.72 prologoutput = 0
% 10.33/10.72 nrgoals = 5000000
% 10.33/10.72 totalproof = 1
% 10.33/10.72
% 10.33/10.72 Symbols occurring in the translation:
% 10.33/10.72
% 10.33/10.72 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 10.33/10.72 . [1, 2] (w:1, o:45, a:1, s:1, b:0),
% 10.33/10.72 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 10.33/10.72 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 10.33/10.72 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 10.33/10.72 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 10.33/10.72 in [37, 2] (w:1, o:69, a:1, s:1, b:0),
% 10.33/10.72 v5_membered [38, 1] (w:1, o:27, a:1, s:1, b:0),
% 10.33/10.72 v4_membered [39, 1] (w:1, o:26, a:1, s:1, b:0),
% 10.33/10.72 v3_membered [40, 1] (w:1, o:25, a:1, s:1, b:0),
% 10.33/10.72 v2_membered [41, 1] (w:1, o:24, a:1, s:1, b:0),
% 10.33/10.72 v1_membered [42, 1] (w:1, o:19, a:1, s:1, b:0),
% 10.33/10.72 empty [43, 1] (w:1, o:28, a:1, s:1, b:0),
% 10.33/10.72 element [44, 2] (w:1, o:70, a:1, s:1, b:0),
% 10.33/10.72 v1_xcmplx_0 [45, 1] (w:1, o:20, a:1, s:1, b:0),
% 10.33/10.72 v1_xreal_0 [46, 1] (w:1, o:21, a:1, s:1, b:0),
% 10.33/10.72 v1_rat_1 [47, 1] (w:1, o:22, a:1, s:1, b:0),
% 10.33/10.72 v1_int_1 [48, 1] (w:1, o:23, a:1, s:1, b:0),
% 10.33/10.72 natural [49, 1] (w:1, o:29, a:1, s:1, b:0),
% 10.33/10.72 empty_set [50, 0] (w:1, o:8, a:1, s:1, b:0),
% 10.33/10.72 powerset [51, 1] (w:1, o:31, a:1, s:1, b:0),
% 10.33/10.72 set_intersection2 [52, 2] (w:1, o:71, a:1, s:1, b:0),
% 10.33/10.72 subset_intersection2 [54, 3] (w:1, o:79, a:1, s:1, b:0),
% 10.33/10.72 subset [55, 2] (w:1, o:72, a:1, s:1, b:0),
% 10.33/10.72 one_sorted_str [56, 1] (w:1, o:30, a:1, s:1, b:0),
% 10.33/10.72 cast_as_carrier_subset [57, 1] (w:1, o:32, a:1, s:1, b:0),
% 10.33/10.72 the_carrier [58, 1] (w:1, o:36, a:1, s:1, b:0),
% 10.33/10.72 alpha1 [59, 1] (w:1, o:37, a:1, s:1, b:1),
% 10.33/10.72 alpha2 [60, 1] (w:1, o:41, a:1, s:1, b:1),
% 10.33/10.72 alpha3 [61, 1] (w:1, o:42, a:1, s:1, b:1),
% 10.33/10.72 alpha4 [62, 1] (w:1, o:43, a:1, s:1, b:1),
% 10.33/10.72 alpha5 [63, 2] (w:1, o:73, a:1, s:1, b:1),
% 10.33/10.72 alpha6 [64, 2] (w:1, o:74, a:1, s:1, b:1),
% 10.33/10.72 alpha7 [65, 2] (w:1, o:75, a:1, s:1, b:1),
% 10.33/10.72 alpha8 [66, 2] (w:1, o:76, a:1, s:1, b:1),
% 10.33/10.72 alpha9 [67, 1] (w:1, o:44, a:1, s:1, b:1),
% 10.33/10.72 alpha10 [68, 1] (w:1, o:38, a:1, s:1, b:1),
% 10.33/10.72 alpha11 [69, 1] (w:1, o:39, a:1, s:1, b:1),
% 10.33/10.72 alpha12 [70, 2] (w:1, o:77, a:1, s:1, b:1),
% 10.33/10.72 alpha13 [71, 2] (w:1, o:78, a:1, s:1, b:1),
% 10.33/10.72 alpha14 [72, 1] (w:1, o:40, a:1, s:1, b:1),
% 10.33/10.72 skol1 [73, 0] (w:1, o:10, a:1, s:1, b:1),
% 10.33/10.72 skol2 [74, 1] (w:1, o:33, a:1, s:1, b:1),
% 10.33/10.72 skol3 [75, 1] (w:1, o:34, a:1, s:1, b:1),
% 10.33/10.72 skol4 [76, 0] (w:1, o:11, a:1, s:1, b:1),
% 10.33/10.72 skol5 [77, 1] (w:1, o:35, a:1, s:1, b:1),
% 10.33/10.72 skol6 [78, 0] (w:1, o:12, a:1, s:1, b:1),
% 10.33/10.72 skol7 [79, 0] (w:1, o:13, a:1, s:1, b:1).
% 10.33/10.72
% 10.33/10.72
% 10.33/10.72 Starting Search:
% 10.33/10.72
% 10.33/10.72 *** allocated 15000 integers for clauses
% 10.33/10.72 *** allocated 22500 integers for clauses
% 10.33/10.72 *** allocated 33750 integers for clauses
% 10.33/10.72 *** allocated 50625 integers for clauses
% 10.33/10.72 *** allocated 15000 integers for termspace/termends
% 10.33/10.72 Resimplifying inuse:
% 10.33/10.72 Done
% 10.33/10.72
% 10.33/10.72 *** allocated 75937 integers for clauses
% 10.33/10.72 *** allocated 22500 integers for termspace/termends
% 10.33/10.72 *** allocated 113905 integers for clauses
% 10.33/10.72
% 10.33/10.72 Intermediate Status:
% 10.33/10.72 Generated: 6555
% 10.33/10.72 Kept: 2003
% 10.33/10.72 Inuse: 516
% 10.33/10.72 Deleted: 50
% 30.07/30.46 Deletedinuse: 20
% 30.07/30.46
% 30.07/30.46 Resimplifying inuse:
% 30.07/30.46 Done
% 30.07/30.46
% 30.07/30.46 *** allocated 33750 integers for termspace/termends
% 30.07/30.46 *** allocated 170857 integers for clauses
% 30.07/30.46 Resimplifying inuse:
% 30.07/30.46 Done
% 30.07/30.46
% 30.07/30.46 *** allocated 50625 integers for termspace/termends
% 30.07/30.46
% 30.07/30.46 Intermediate Status:
% 30.07/30.46 Generated: 14346
% 30.07/30.46 Kept: 4003
% 30.07/30.46 Inuse: 796
% 30.07/30.46 Deleted: 84
% 30.07/30.46 Deletedinuse: 39
% 30.07/30.46
% 30.07/30.46 *** allocated 256285 integers for clauses
% 30.07/30.46 Resimplifying inuse:
% 30.07/30.46 Done
% 30.07/30.46
% 30.07/30.46 *** allocated 75937 integers for termspace/termends
% 30.07/30.46 Resimplifying inuse:
% 30.07/30.46 Done
% 30.07/30.46
% 30.07/30.46
% 30.07/30.46 Intermediate Status:
% 30.07/30.46 Generated: 24383
% 30.07/30.46 Kept: 6006
% 30.07/30.46 Inuse: 963
% 30.07/30.46 Deleted: 114
% 30.07/30.46 Deletedinuse: 43
% 30.07/30.46
% 30.07/30.46 *** allocated 384427 integers for clauses
% 30.07/30.46 Resimplifying inuse:
% 30.07/30.46 Done
% 30.07/30.46
% 30.07/30.46 *** allocated 113905 integers for termspace/termends
% 30.07/30.46 Resimplifying inuse:
% 30.07/30.46 Done
% 30.07/30.46
% 30.07/30.46
% 30.07/30.46 Intermediate Status:
% 30.07/30.46 Generated: 35730
% 30.07/30.46 Kept: 8043
% 30.07/30.46 Inuse: 1179
% 30.07/30.46 Deleted: 139
% 30.07/30.46 Deletedinuse: 43
% 30.07/30.46
% 30.07/30.46 Resimplifying inuse:
% 30.07/30.46 Done
% 30.07/30.46
% 30.07/30.46 Resimplifying inuse:
% 30.07/30.46 Done
% 30.07/30.46
% 30.07/30.46 *** allocated 576640 integers for clauses
% 30.07/30.46
% 30.07/30.46 Intermediate Status:
% 30.07/30.46 Generated: 43843
% 30.07/30.46 Kept: 10052
% 30.07/30.46 Inuse: 1297
% 30.07/30.47 Deleted: 160
% 30.07/30.47 Deletedinuse: 61
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47 *** allocated 170857 integers for termspace/termends
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47
% 30.07/30.47 Intermediate Status:
% 30.07/30.47 Generated: 54118
% 30.07/30.47 Kept: 12077
% 30.07/30.47 Inuse: 1500
% 30.07/30.47 Deleted: 194
% 30.07/30.47 Deletedinuse: 62
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47
% 30.07/30.47 Intermediate Status:
% 30.07/30.47 Generated: 62518
% 30.07/30.47 Kept: 14132
% 30.07/30.47 Inuse: 1612
% 30.07/30.47 Deleted: 196
% 30.07/30.47 Deletedinuse: 62
% 30.07/30.47
% 30.07/30.47 *** allocated 864960 integers for clauses
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47 *** allocated 256285 integers for termspace/termends
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47
% 30.07/30.47 Intermediate Status:
% 30.07/30.47 Generated: 72738
% 30.07/30.47 Kept: 16135
% 30.07/30.47 Inuse: 1754
% 30.07/30.47 Deleted: 199
% 30.07/30.47 Deletedinuse: 62
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47
% 30.07/30.47 Intermediate Status:
% 30.07/30.47 Generated: 83579
% 30.07/30.47 Kept: 18136
% 30.07/30.47 Inuse: 1915
% 30.07/30.47 Deleted: 203
% 30.07/30.47 Deletedinuse: 62
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47 Resimplifying clauses:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47
% 30.07/30.47 Intermediate Status:
% 30.07/30.47 Generated: 91899
% 30.07/30.47 Kept: 20161
% 30.07/30.47 Inuse: 1970
% 30.07/30.47 Deleted: 1088
% 30.07/30.47 Deletedinuse: 62
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47 *** allocated 1297440 integers for clauses
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47
% 30.07/30.47 Intermediate Status:
% 30.07/30.47 Generated: 103379
% 30.07/30.47 Kept: 22186
% 30.07/30.47 Inuse: 2062
% 30.07/30.47 Deleted: 1099
% 30.07/30.47 Deletedinuse: 73
% 30.07/30.47
% 30.07/30.47 *** allocated 384427 integers for termspace/termends
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47
% 30.07/30.47 Intermediate Status:
% 30.07/30.47 Generated: 116370
% 30.07/30.47 Kept: 24241
% 30.07/30.47 Inuse: 2187
% 30.07/30.47 Deleted: 1099
% 30.07/30.47 Deletedinuse: 73
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47
% 30.07/30.47 Intermediate Status:
% 30.07/30.47 Generated: 136035
% 30.07/30.47 Kept: 26268
% 30.07/30.47 Inuse: 2369
% 30.07/30.47 Deleted: 1099
% 30.07/30.47 Deletedinuse: 73
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47
% 30.07/30.47 Intermediate Status:
% 30.07/30.47 Generated: 159691
% 30.07/30.47 Kept: 28313
% 30.07/30.47 Inuse: 2573
% 30.07/30.47 Deleted: 1099
% 30.07/30.47 Deletedinuse: 73
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47
% 30.07/30.47 Intermediate Status:
% 30.07/30.47 Generated: 176071
% 30.07/30.47 Kept: 30319
% 30.07/30.47 Inuse: 2700
% 30.07/30.47 Deleted: 1110
% 30.07/30.47 Deletedinuse: 83
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47 *** allocated 1946160 integers for clauses
% 30.07/30.47
% 30.07/30.47 Intermediate Status:
% 30.07/30.47 Generated: 200625
% 30.07/30.47 Kept: 32393
% 30.07/30.47 Inuse: 2861
% 30.07/30.47 Deleted: 1114
% 30.07/30.47 Deletedinuse: 84
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47 *** allocated 576640 integers for termspace/termends
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47
% 30.07/30.47 Intermediate Status:
% 30.07/30.47 Generated: 232201
% 30.07/30.47 Kept: 34394
% 30.07/30.47 Inuse: 3069
% 30.07/30.47 Deleted: 1124
% 30.07/30.47 Deletedinuse: 94
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47
% 30.07/30.47 Intermediate Status:
% 30.07/30.47 Generated: 250011
% 30.07/30.47 Kept: 36583
% 30.07/30.47 Inuse: 3173
% 30.07/30.47 Deleted: 1125
% 30.07/30.47 Deletedinuse: 95
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47
% 30.07/30.47 Intermediate Status:
% 30.07/30.47 Generated: 257226
% 30.07/30.47 Kept: 38646
% 30.07/30.47 Inuse: 3213
% 30.07/30.47 Deleted: 1125
% 30.07/30.47 Deletedinuse: 95
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47 Resimplifying clauses:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47
% 30.07/30.47 Intermediate Status:
% 30.07/30.47 Generated: 273218
% 30.07/30.47 Kept: 40685
% 30.07/30.47 Inuse: 3293
% 30.07/30.47 Deleted: 2555
% 30.07/30.47 Deletedinuse: 95
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47
% 30.07/30.47 Intermediate Status:
% 30.07/30.47 Generated: 285358
% 30.07/30.47 Kept: 42691
% 30.07/30.47 Inuse: 3328
% 30.07/30.47 Deleted: 2555
% 30.07/30.47 Deletedinuse: 95
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47
% 30.07/30.47 Intermediate Status:
% 30.07/30.47 Generated: 296672
% 30.07/30.47 Kept: 44757
% 30.07/30.47 Inuse: 3423
% 30.07/30.47 Deleted: 2561
% 30.07/30.47 Deletedinuse: 101
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47
% 30.07/30.47 Intermediate Status:
% 30.07/30.47 Generated: 304862
% 30.07/30.47 Kept: 46811
% 30.07/30.47 Inuse: 3450
% 30.07/30.47 Deleted: 2561
% 30.07/30.47 Deletedinuse: 101
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47 *** allocated 864960 integers for termspace/termends
% 30.07/30.47 *** allocated 2919240 integers for clauses
% 30.07/30.47
% 30.07/30.47 Intermediate Status:
% 30.07/30.47 Generated: 311434
% 30.07/30.47 Kept: 48874
% 30.07/30.47 Inuse: 3498
% 30.07/30.47 Deleted: 2561
% 30.07/30.47 Deletedinuse: 101
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47
% 30.07/30.47 Intermediate Status:
% 30.07/30.47 Generated: 324305
% 30.07/30.47 Kept: 51222
% 30.07/30.47 Inuse: 3560
% 30.07/30.47 Deleted: 2561
% 30.07/30.47 Deletedinuse: 101
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47
% 30.07/30.47 Intermediate Status:
% 30.07/30.47 Generated: 336858
% 30.07/30.47 Kept: 53225
% 30.07/30.47 Inuse: 3602
% 30.07/30.47 Deleted: 2561
% 30.07/30.47 Deletedinuse: 101
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47
% 30.07/30.47 Intermediate Status:
% 30.07/30.47 Generated: 344870
% 30.07/30.47 Kept: 55252
% 30.07/30.47 Inuse: 3655
% 30.07/30.47 Deleted: 2561
% 30.07/30.47 Deletedinuse: 101
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47
% 30.07/30.47 Intermediate Status:
% 30.07/30.47 Generated: 353869
% 30.07/30.47 Kept: 57341
% 30.07/30.47 Inuse: 3698
% 30.07/30.47 Deleted: 2561
% 30.07/30.47 Deletedinuse: 101
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47
% 30.07/30.47 Intermediate Status:
% 30.07/30.47 Generated: 367941
% 30.07/30.47 Kept: 59412
% 30.07/30.47 Inuse: 3740
% 30.07/30.47 Deleted: 2561
% 30.07/30.47 Deletedinuse: 101
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47 Resimplifying clauses:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47
% 30.07/30.47 Intermediate Status:
% 30.07/30.47 Generated: 383313
% 30.07/30.47 Kept: 61443
% 30.07/30.47 Inuse: 3798
% 30.07/30.47 Deleted: 3475
% 30.07/30.47 Deletedinuse: 101
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47
% 30.07/30.47 Intermediate Status:
% 30.07/30.47 Generated: 404187
% 30.07/30.47 Kept: 64405
% 30.07/30.47 Inuse: 3828
% 30.07/30.47 Deleted: 3475
% 30.07/30.47 Deletedinuse: 101
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47
% 30.07/30.47 Intermediate Status:
% 30.07/30.47 Generated: 415673
% 30.07/30.47 Kept: 66411
% 30.07/30.47 Inuse: 3903
% 30.07/30.47 Deleted: 3498
% 30.07/30.47 Deletedinuse: 109
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47
% 30.07/30.47 Intermediate Status:
% 30.07/30.47 Generated: 431078
% 30.07/30.47 Kept: 68520
% 30.07/30.47 Inuse: 3964
% 30.07/30.47 Deleted: 3499
% 30.07/30.47 Deletedinuse: 109
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47 *** allocated 1297440 integers for termspace/termends
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47
% 30.07/30.47 Intermediate Status:
% 30.07/30.47 Generated: 446803
% 30.07/30.47 Kept: 70579
% 30.07/30.47 Inuse: 4017
% 30.07/30.47 Deleted: 3508
% 30.07/30.47 Deletedinuse: 118
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47
% 30.07/30.47 Intermediate Status:
% 30.07/30.47 Generated: 459921
% 30.07/30.47 Kept: 72732
% 30.07/30.47 Inuse: 4088
% 30.07/30.47 Deleted: 3512
% 30.07/30.47 Deletedinuse: 118
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47 *** allocated 4378860 integers for clauses
% 30.07/30.47
% 30.07/30.47 Intermediate Status:
% 30.07/30.47 Generated: 470624
% 30.07/30.47 Kept: 74782
% 30.07/30.47 Inuse: 4132
% 30.07/30.47 Deleted: 3513
% 30.07/30.47 Deletedinuse: 118
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47
% 30.07/30.47 Intermediate Status:
% 30.07/30.47 Generated: 480478
% 30.07/30.47 Kept: 76798
% 30.07/30.47 Inuse: 4178
% 30.07/30.47 Deleted: 3513
% 30.07/30.47 Deletedinuse: 118
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47
% 30.07/30.47 Intermediate Status:
% 30.07/30.47 Generated: 494024
% 30.07/30.47 Kept: 78802
% 30.07/30.47 Inuse: 4259
% 30.07/30.47 Deleted: 3520
% 30.07/30.47 Deletedinuse: 118
% 30.07/30.47
% 30.07/30.47 Resimplifying inuse:
% 30.07/30.47 Done
% 30.07/30.47
% 30.07/30.47 Resimplifying clauses:
% 30.07/30.47
% 30.07/30.47 Bliksems!, er is een bewijs:
% 30.07/30.47 % SZS status Theorem
% 30.07/30.47 % SZS output start Refutation
% 30.07/30.47
% 30.07/30.47 (127) {G0,W3,D2,L1,V1,M1} I { subset( X, X ) }.
% 30.07/30.47 (130) {G0,W16,D3,L3,V3,M3} I { ! element( Y, powerset( X ) ), ! element( Z
% 30.07/30.47 , powerset( X ) ), subset_intersection2( X, Y, Z ) ==> set_intersection2
% 30.07/30.47 ( Y, Z ) }.
% 30.07/30.47 (134) {G0,W7,D3,L2,V2,M2} I { ! element( X, powerset( Y ) ), subset( X, Y )
% 30.07/30.47 }.
% 30.07/30.47 (135) {G0,W7,D3,L2,V2,M2} I { ! subset( X, Y ), element( X, powerset( Y ) )
% 30.07/30.47 }.
% 30.07/30.47 (136) {G0,W7,D3,L2,V1,M2} I { ! one_sorted_str( X ), the_carrier( X ) ==>
% 30.07/30.47 cast_as_carrier_subset( X ) }.
% 30.07/30.47 (137) {G0,W2,D2,L1,V0,M1} I { one_sorted_str( skol6 ) }.
% 30.07/30.47 (138) {G0,W5,D4,L1,V0,M1} I { element( skol7, powerset( the_carrier( skol6
% 30.07/30.47 ) ) ) }.
% 30.07/30.47 (139) {G0,W8,D4,L1,V0,M1} I { ! subset_intersection2( the_carrier( skol6 )
% 30.07/30.47 , skol7, cast_as_carrier_subset( skol6 ) ) ==> skol7 }.
% 30.07/30.47 (140) {G0,W8,D3,L2,V2,M2} I { ! subset( X, Y ), set_intersection2( X, Y )
% 30.07/30.47 ==> X }.
% 30.07/30.47 (1512) {G1,W15,D3,L3,V3,M3} R(135,130) { ! subset( X, Y ), ! element( Z,
% 30.07/30.47 powerset( Y ) ), subset_intersection2( Y, Z, X ) ==> set_intersection2( Z
% 30.07/30.47 , X ) }.
% 30.07/30.47 (1558) {G1,W5,D3,L1,V0,M1} R(136,137) { the_carrier( skol6 ) ==>
% 30.07/30.47 cast_as_carrier_subset( skol6 ) }.
% 30.07/30.47 (1577) {G2,W5,D4,L1,V0,M1} S(138);d(1558) { element( skol7, powerset(
% 30.07/30.47 cast_as_carrier_subset( skol6 ) ) ) }.
% 30.07/30.47 (1591) {G2,W8,D4,L1,V0,M1} S(139);d(1558) { ! subset_intersection2(
% 30.07/30.47 cast_as_carrier_subset( skol6 ), skol7, cast_as_carrier_subset( skol6 ) )
% 30.07/30.47 ==> skol7 }.
% 30.07/30.47 (1609) {G1,W9,D3,L2,V2,M2} R(140,134) { set_intersection2( X, Y ) ==> X, !
% 30.07/30.47 element( X, powerset( Y ) ) }.
% 30.07/30.47 (79818) {G3,W5,D4,L1,V0,M1} P(1512,1591);d(1609);q;r(127) { ! element(
% 30.07/30.47 skol7, powerset( cast_as_carrier_subset( skol6 ) ) ) }.
% 30.07/30.47 (80218) {G4,W0,D0,L0,V0,M0} S(79818);r(1577) { }.
% 30.07/30.47
% 30.07/30.47
% 30.07/30.47 % SZS output end Refutation
% 30.07/30.47 found a proof!
% 30.07/30.47
% 30.07/30.47
% 30.07/30.47 Unprocessed initial clauses:
% 30.07/30.47
% 30.07/30.47 (80220) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), ! in( Y, X ) }.
% 30.07/30.47 (80221) {G0,W1,D1,L1,V0,M1} { && }.
% 30.07/30.47 (80222) {G0,W4,D2,L2,V1,M2} { ! v5_membered( X ), v4_membered( X ) }.
% 30.07/30.47 (80223) {G0,W4,D2,L2,V1,M2} { ! v4_membered( X ), v3_membered( X ) }.
% 30.07/30.47 (80224) {G0,W4,D2,L2,V1,M2} { ! v3_membered( X ), v2_membered( X ) }.
% 30.07/30.47 (80225) {G0,W4,D2,L2,V1,M2} { ! v2_membered( X ), v1_membered( X ) }.
% 30.07/30.47 (80226) {G0,W2,D2,L1,V0,M1} { ! empty( skol1 ) }.
% 30.07/30.47 (80227) {G0,W2,D2,L1,V0,M1} { v1_membered( skol1 ) }.
% 30.07/30.47 (80228) {G0,W2,D2,L1,V0,M1} { v2_membered( skol1 ) }.
% 30.07/30.47 (80229) {G0,W2,D2,L1,V0,M1} { v3_membered( skol1 ) }.
% 30.07/30.47 (80230) {G0,W2,D2,L1,V0,M1} { v4_membered( skol1 ) }.
% 30.07/30.47 (80231) {G0,W2,D2,L1,V0,M1} { v5_membered( skol1 ) }.
% 30.07/30.47 (80232) {G0,W7,D2,L3,V2,M3} { ! v1_membered( X ), ! element( Y, X ),
% 30.07/30.47 v1_xcmplx_0( Y ) }.
% 30.07/30.47 (80233) {G0,W7,D2,L3,V2,M3} { ! v2_membered( X ), ! element( Y, X ),
% 30.07/30.47 v1_xcmplx_0( Y ) }.
% 30.07/30.47 (80234) {G0,W7,D2,L3,V2,M3} { ! v2_membered( X ), ! element( Y, X ),
% 30.07/30.47 v1_xreal_0( Y ) }.
% 30.07/30.47 (80235) {G0,W7,D2,L3,V2,M3} { ! v3_membered( X ), ! element( Y, X ),
% 30.07/30.47 v1_xcmplx_0( Y ) }.
% 30.07/30.47 (80236) {G0,W7,D2,L3,V2,M3} { ! v3_membered( X ), ! element( Y, X ),
% 30.07/30.47 v1_xreal_0( Y ) }.
% 30.07/30.47 (80237) {G0,W7,D2,L3,V2,M3} { ! v3_membered( X ), ! element( Y, X ),
% 30.07/30.47 v1_rat_1( Y ) }.
% 30.07/30.47 (80238) {G0,W7,D2,L3,V2,M3} { ! v4_membered( X ), ! element( Y, X ),
% 30.07/30.47 alpha1( Y ) }.
% 30.07/30.47 (80239) {G0,W7,D2,L3,V2,M3} { ! v4_membered( X ), ! element( Y, X ),
% 30.07/30.47 v1_rat_1( Y ) }.
% 30.07/30.47 (80240) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), v1_xcmplx_0( X ) }.
% 30.07/30.47 (80241) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), v1_xreal_0( X ) }.
% 30.07/30.47 (80242) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), v1_int_1( X ) }.
% 30.07/30.47 (80243) {G0,W8,D2,L4,V1,M4} { ! v1_xcmplx_0( X ), ! v1_xreal_0( X ), !
% 30.07/30.47 v1_int_1( X ), alpha1( X ) }.
% 30.07/30.47 (80244) {G0,W7,D2,L3,V2,M3} { ! v5_membered( X ), ! element( Y, X ),
% 30.07/30.47 alpha2( Y ) }.
% 30.07/30.47 (80245) {G0,W7,D2,L3,V2,M3} { ! v5_membered( X ), ! element( Y, X ),
% 30.07/30.47 v1_rat_1( Y ) }.
% 30.07/30.47 (80246) {G0,W4,D2,L2,V1,M2} { ! alpha2( X ), alpha10( X ) }.
% 30.07/30.47 (80247) {G0,W4,D2,L2,V1,M2} { ! alpha2( X ), v1_int_1( X ) }.
% 30.07/30.47 (80248) {G0,W6,D2,L3,V1,M3} { ! alpha10( X ), ! v1_int_1( X ), alpha2( X )
% 30.07/30.47 }.
% 30.07/30.47 (80249) {G0,W4,D2,L2,V1,M2} { ! alpha10( X ), v1_xcmplx_0( X ) }.
% 30.07/30.47 (80250) {G0,W4,D2,L2,V1,M2} { ! alpha10( X ), natural( X ) }.
% 30.07/30.47 (80251) {G0,W4,D2,L2,V1,M2} { ! alpha10( X ), v1_xreal_0( X ) }.
% 30.07/30.47 (80252) {G0,W8,D2,L4,V1,M4} { ! v1_xcmplx_0( X ), ! natural( X ), !
% 30.07/30.47 v1_xreal_0( X ), alpha10( X ) }.
% 30.07/30.47 (80253) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 30.07/30.47 (80254) {G0,W2,D2,L1,V0,M1} { v1_membered( empty_set ) }.
% 30.07/30.47 (80255) {G0,W2,D2,L1,V0,M1} { v2_membered( empty_set ) }.
% 30.07/30.47 (80256) {G0,W2,D2,L1,V0,M1} { v3_membered( empty_set ) }.
% 30.07/30.47 (80257) {G0,W2,D2,L1,V0,M1} { v4_membered( empty_set ) }.
% 30.07/30.47 (80258) {G0,W2,D2,L1,V0,M1} { v5_membered( empty_set ) }.
% 30.07/30.47 (80259) {G0,W8,D3,L3,V2,M3} { ! v1_membered( X ), ! element( Y, powerset(
% 30.07/30.47 X ) ), v1_membered( Y ) }.
% 30.07/30.47 (80260) {G0,W8,D3,L3,V2,M3} { ! v2_membered( X ), ! element( Y, powerset(
% 30.07/30.47 X ) ), v1_membered( Y ) }.
% 30.07/30.47 (80261) {G0,W8,D3,L3,V2,M3} { ! v2_membered( X ), ! element( Y, powerset(
% 30.07/30.47 X ) ), v2_membered( Y ) }.
% 30.07/30.47 (80262) {G0,W8,D3,L3,V2,M3} { ! v3_membered( X ), ! element( Y, powerset(
% 30.07/30.47 X ) ), v1_membered( Y ) }.
% 30.07/30.47 (80263) {G0,W8,D3,L3,V2,M3} { ! v3_membered( X ), ! element( Y, powerset(
% 30.07/30.47 X ) ), v2_membered( Y ) }.
% 30.07/30.47 (80264) {G0,W8,D3,L3,V2,M3} { ! v3_membered( X ), ! element( Y, powerset(
% 30.07/30.47 X ) ), v3_membered( Y ) }.
% 30.07/30.47 (80265) {G0,W8,D3,L3,V2,M3} { ! v4_membered( X ), ! element( Y, powerset(
% 30.07/30.47 X ) ), alpha3( Y ) }.
% 30.07/30.47 (80266) {G0,W8,D3,L3,V2,M3} { ! v4_membered( X ), ! element( Y, powerset(
% 30.07/30.47 X ) ), v4_membered( Y ) }.
% 30.07/30.47 (80267) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), v1_membered( X ) }.
% 30.07/30.47 (80268) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), v2_membered( X ) }.
% 30.07/30.47 (80269) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), v3_membered( X ) }.
% 30.07/30.47 (80270) {G0,W8,D2,L4,V1,M4} { ! v1_membered( X ), ! v2_membered( X ), !
% 30.07/30.47 v3_membered( X ), alpha3( X ) }.
% 30.07/30.47 (80271) {G0,W8,D3,L3,V2,M3} { ! v5_membered( X ), ! element( Y, powerset(
% 30.07/30.47 X ) ), alpha4( Y ) }.
% 30.07/30.47 (80272) {G0,W8,D3,L3,V2,M3} { ! v5_membered( X ), ! element( Y, powerset(
% 30.07/30.47 X ) ), v5_membered( Y ) }.
% 30.07/30.47 (80273) {G0,W4,D2,L2,V1,M2} { ! alpha4( X ), alpha11( X ) }.
% 30.07/30.47 (80274) {G0,W4,D2,L2,V1,M2} { ! alpha4( X ), v4_membered( X ) }.
% 30.07/30.47 (80275) {G0,W6,D2,L3,V1,M3} { ! alpha11( X ), ! v4_membered( X ), alpha4(
% 30.07/30.47 X ) }.
% 30.07/30.47 (80276) {G0,W4,D2,L2,V1,M2} { ! alpha11( X ), v1_membered( X ) }.
% 30.07/30.47 (80277) {G0,W4,D2,L2,V1,M2} { ! alpha11( X ), v2_membered( X ) }.
% 30.07/30.47 (80278) {G0,W4,D2,L2,V1,M2} { ! alpha11( X ), v3_membered( X ) }.
% 30.07/30.47 (80279) {G0,W8,D2,L4,V1,M4} { ! v1_membered( X ), ! v2_membered( X ), !
% 30.07/30.47 v3_membered( X ), alpha11( X ) }.
% 30.07/30.47 (80280) {G0,W6,D3,L2,V2,M2} { ! v1_membered( X ), v1_membered(
% 30.07/30.47 set_intersection2( X, Y ) ) }.
% 30.07/30.47 (80281) {G0,W6,D3,L2,V2,M2} { ! v1_membered( X ), v1_membered(
% 30.07/30.47 set_intersection2( Y, X ) ) }.
% 30.07/30.47 (80282) {G0,W6,D3,L2,V2,M2} { ! v2_membered( X ), v1_membered(
% 30.07/30.47 set_intersection2( X, Y ) ) }.
% 30.07/30.47 (80283) {G0,W6,D3,L2,V2,M2} { ! v2_membered( X ), v2_membered(
% 30.07/30.47 set_intersection2( X, Y ) ) }.
% 30.07/30.47 (80284) {G0,W6,D3,L2,V2,M2} { ! v2_membered( X ), v1_membered(
% 30.07/30.47 set_intersection2( Y, X ) ) }.
% 30.07/30.47 (80285) {G0,W6,D3,L2,V2,M2} { ! v2_membered( X ), v2_membered(
% 30.07/30.47 set_intersection2( Y, X ) ) }.
% 30.07/30.47 (80286) {G0,W6,D3,L2,V2,M2} { ! v3_membered( X ), v1_membered(
% 30.07/30.47 set_intersection2( X, Y ) ) }.
% 30.07/30.47 (80287) {G0,W6,D3,L2,V2,M2} { ! v3_membered( X ), v2_membered(
% 30.07/30.47 set_intersection2( X, Y ) ) }.
% 30.07/30.47 (80288) {G0,W6,D3,L2,V2,M2} { ! v3_membered( X ), v3_membered(
% 30.07/30.47 set_intersection2( X, Y ) ) }.
% 30.07/30.47 (80289) {G0,W6,D3,L2,V2,M2} { ! v3_membered( X ), v1_membered(
% 30.07/30.47 set_intersection2( Y, X ) ) }.
% 30.07/30.47 (80290) {G0,W6,D3,L2,V2,M2} { ! v3_membered( X ), v2_membered(
% 30.07/30.47 set_intersection2( Y, X ) ) }.
% 30.07/30.47 (80291) {G0,W6,D3,L2,V2,M2} { ! v3_membered( X ), v3_membered(
% 30.07/30.47 set_intersection2( Y, X ) ) }.
% 30.07/30.47 (80292) {G0,W5,D2,L2,V2,M2} { ! v4_membered( X ), alpha5( X, Y ) }.
% 30.07/30.47 (80293) {G0,W6,D3,L2,V2,M2} { ! v4_membered( X ), v4_membered(
% 30.07/30.47 set_intersection2( X, Y ) ) }.
% 30.07/30.47 (80294) {G0,W7,D3,L2,V2,M2} { ! alpha5( X, Y ), v1_membered(
% 30.07/30.47 set_intersection2( X, Y ) ) }.
% 30.07/30.47 (80295) {G0,W7,D3,L2,V2,M2} { ! alpha5( X, Y ), v2_membered(
% 30.07/30.47 set_intersection2( X, Y ) ) }.
% 30.07/30.47 (80296) {G0,W7,D3,L2,V2,M2} { ! alpha5( X, Y ), v3_membered(
% 30.07/30.47 set_intersection2( X, Y ) ) }.
% 30.07/30.47 (80297) {G0,W15,D3,L4,V2,M4} { ! v1_membered( set_intersection2( X, Y ) )
% 30.07/30.47 , ! v2_membered( set_intersection2( X, Y ) ), ! v3_membered(
% 30.07/30.47 set_intersection2( X, Y ) ), alpha5( X, Y ) }.
% 30.07/30.47 (80298) {G0,W5,D2,L2,V2,M2} { ! v4_membered( X ), alpha6( X, Y ) }.
% 30.07/30.47 (80299) {G0,W6,D3,L2,V2,M2} { ! v4_membered( X ), v4_membered(
% 30.07/30.47 set_intersection2( Y, X ) ) }.
% 30.07/30.47 (80300) {G0,W7,D3,L2,V2,M2} { ! alpha6( X, Y ), v1_membered(
% 30.07/30.47 set_intersection2( Y, X ) ) }.
% 30.07/30.47 (80301) {G0,W7,D3,L2,V2,M2} { ! alpha6( X, Y ), v2_membered(
% 30.07/30.47 set_intersection2( Y, X ) ) }.
% 30.07/30.47 (80302) {G0,W7,D3,L2,V2,M2} { ! alpha6( X, Y ), v3_membered(
% 30.07/30.47 set_intersection2( Y, X ) ) }.
% 30.07/30.47 (80303) {G0,W15,D3,L4,V2,M4} { ! v1_membered( set_intersection2( Y, X ) )
% 30.07/30.47 , ! v2_membered( set_intersection2( Y, X ) ), ! v3_membered(
% 30.07/30.47 set_intersection2( Y, X ) ), alpha6( X, Y ) }.
% 30.07/30.47 (80304) {G0,W5,D2,L2,V2,M2} { ! v5_membered( X ), alpha7( X, Y ) }.
% 30.07/30.47 (80305) {G0,W6,D3,L2,V2,M2} { ! v5_membered( X ), v5_membered(
% 30.07/30.47 set_intersection2( X, Y ) ) }.
% 30.07/30.47 (80306) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), alpha12( X, Y ) }.
% 30.07/30.47 (80307) {G0,W7,D3,L2,V2,M2} { ! alpha7( X, Y ), v4_membered(
% 30.07/30.47 set_intersection2( X, Y ) ) }.
% 30.07/30.47 (80308) {G0,W10,D3,L3,V2,M3} { ! alpha12( X, Y ), ! v4_membered(
% 30.07/30.47 set_intersection2( X, Y ) ), alpha7( X, Y ) }.
% 30.07/30.47 (80309) {G0,W7,D3,L2,V2,M2} { ! alpha12( X, Y ), v1_membered(
% 30.07/30.47 set_intersection2( X, Y ) ) }.
% 30.07/30.47 (80310) {G0,W7,D3,L2,V2,M2} { ! alpha12( X, Y ), v2_membered(
% 30.07/30.47 set_intersection2( X, Y ) ) }.
% 30.07/30.47 (80311) {G0,W7,D3,L2,V2,M2} { ! alpha12( X, Y ), v3_membered(
% 30.07/30.47 set_intersection2( X, Y ) ) }.
% 30.07/30.47 (80312) {G0,W15,D3,L4,V2,M4} { ! v1_membered( set_intersection2( X, Y ) )
% 30.07/30.47 , ! v2_membered( set_intersection2( X, Y ) ), ! v3_membered(
% 30.07/30.47 set_intersection2( X, Y ) ), alpha12( X, Y ) }.
% 30.07/30.47 (80313) {G0,W5,D2,L2,V2,M2} { ! v5_membered( X ), alpha8( X, Y ) }.
% 30.07/30.47 (80314) {G0,W6,D3,L2,V2,M2} { ! v5_membered( X ), v5_membered(
% 30.07/30.47 set_intersection2( Y, X ) ) }.
% 30.07/30.47 (80315) {G0,W6,D2,L2,V2,M2} { ! alpha8( X, Y ), alpha13( X, Y ) }.
% 30.07/30.47 (80316) {G0,W7,D3,L2,V2,M2} { ! alpha8( X, Y ), v4_membered(
% 30.07/30.47 set_intersection2( Y, X ) ) }.
% 30.07/30.47 (80317) {G0,W10,D3,L3,V2,M3} { ! alpha13( X, Y ), ! v4_membered(
% 30.07/30.47 set_intersection2( Y, X ) ), alpha8( X, Y ) }.
% 30.07/30.47 (80318) {G0,W7,D3,L2,V2,M2} { ! alpha13( X, Y ), v1_membered(
% 30.07/30.47 set_intersection2( Y, X ) ) }.
% 30.07/30.47 (80319) {G0,W7,D3,L2,V2,M2} { ! alpha13( X, Y ), v2_membered(
% 30.07/30.47 set_intersection2( Y, X ) ) }.
% 30.07/30.47 (80320) {G0,W7,D3,L2,V2,M2} { ! alpha13( X, Y ), v3_membered(
% 30.07/30.47 set_intersection2( Y, X ) ) }.
% 30.07/30.47 (80321) {G0,W15,D3,L4,V2,M4} { ! v1_membered( set_intersection2( Y, X ) )
% 30.07/30.47 , ! v2_membered( set_intersection2( Y, X ) ), ! v3_membered(
% 30.07/30.47 set_intersection2( Y, X ) ), alpha13( X, Y ) }.
% 30.07/30.47 (80322) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), element( X, Y ) }.
% 30.07/30.47 (80323) {G0,W5,D3,L1,V1,M1} { set_intersection2( X, empty_set ) =
% 30.07/30.47 empty_set }.
% 30.07/30.47 (80324) {G0,W10,D3,L3,V3,M3} { ! in( X, Z ), ! element( Z, powerset( Y ) )
% 30.07/30.47 , element( X, Y ) }.
% 30.07/30.47 (80325) {G0,W9,D3,L3,V3,M3} { ! in( X, Y ), ! element( Y, powerset( Z ) )
% 30.07/30.47 , ! empty( Z ) }.
% 30.07/30.47 (80326) {G0,W5,D3,L2,V2,M2} { empty( X ), ! empty( skol2( Y ) ) }.
% 30.07/30.47 (80327) {G0,W7,D3,L2,V1,M2} { empty( X ), element( skol2( X ), powerset( X
% 30.07/30.47 ) ) }.
% 30.07/30.47 (80328) {G0,W3,D3,L1,V1,M1} { empty( skol3( Y ) ) }.
% 30.07/30.47 (80329) {G0,W5,D3,L1,V1,M1} { element( skol3( X ), powerset( X ) ) }.
% 30.07/30.47 (80330) {G0,W4,D2,L2,V1,M2} { ! empty( X ), alpha9( X ) }.
% 30.07/30.47 (80331) {G0,W4,D2,L2,V1,M2} { ! empty( X ), v5_membered( X ) }.
% 30.07/30.47 (80332) {G0,W4,D2,L2,V1,M2} { ! alpha9( X ), alpha14( X ) }.
% 30.07/30.47 (80333) {G0,W4,D2,L2,V1,M2} { ! alpha9( X ), v4_membered( X ) }.
% 30.07/30.47 (80334) {G0,W6,D2,L3,V1,M3} { ! alpha14( X ), ! v4_membered( X ), alpha9(
% 30.07/30.47 X ) }.
% 30.07/30.47 (80335) {G0,W4,D2,L2,V1,M2} { ! alpha14( X ), v1_membered( X ) }.
% 30.07/30.47 (80336) {G0,W4,D2,L2,V1,M2} { ! alpha14( X ), v2_membered( X ) }.
% 30.07/30.47 (80337) {G0,W4,D2,L2,V1,M2} { ! alpha14( X ), v3_membered( X ) }.
% 30.07/30.47 (80338) {G0,W8,D2,L4,V1,M4} { ! v1_membered( X ), ! v2_membered( X ), !
% 30.07/30.47 v3_membered( X ), alpha14( X ) }.
% 30.07/30.47 (80339) {G0,W8,D2,L3,V2,M3} { ! element( X, Y ), empty( Y ), in( X, Y )
% 30.07/30.47 }.
% 30.07/30.47 (80340) {G0,W5,D2,L2,V1,M2} { ! empty( X ), X = empty_set }.
% 30.07/30.47 (80341) {G0,W5,D2,L2,V2,M2} { ! in( X, Y ), ! empty( Y ) }.
% 30.07/30.47 (80342) {G0,W7,D2,L3,V2,M3} { ! empty( X ), X = Y, ! empty( Y ) }.
% 30.07/30.47 (80343) {G0,W7,D3,L1,V2,M1} { set_intersection2( X, Y ) =
% 30.07/30.47 set_intersection2( Y, X ) }.
% 30.07/30.47 (80344) {G0,W5,D3,L1,V1,M1} { set_intersection2( X, X ) = X }.
% 30.07/30.47 (80345) {G0,W17,D3,L3,V3,M3} { ! element( Y, powerset( X ) ), ! element( Z
% 30.07/30.47 , powerset( X ) ), subset_intersection2( X, Y, Z ) = subset_intersection2
% 30.07/30.47 ( X, Z, Y ) }.
% 30.07/30.47 (80346) {G0,W14,D3,L3,V3,M3} { ! element( Y, powerset( X ) ), ! element( Z
% 30.07/30.47 , powerset( X ) ), subset_intersection2( X, Y, Y ) = Y }.
% 30.07/30.47 (80347) {G0,W3,D2,L1,V1,M1} { subset( X, X ) }.
% 30.07/30.47 (80348) {G0,W2,D2,L1,V0,M1} { one_sorted_str( skol4 ) }.
% 30.07/30.47 (80349) {G0,W4,D3,L1,V1,M1} { element( skol5( X ), X ) }.
% 30.07/30.47 (80350) {G0,W16,D3,L3,V3,M3} { ! element( Y, powerset( X ) ), ! element( Z
% 30.07/30.47 , powerset( X ) ), subset_intersection2( X, Y, Z ) = set_intersection2( Y
% 30.07/30.47 , Z ) }.
% 30.07/30.47 (80351) {G0,W1,D1,L1,V0,M1} { && }.
% 30.07/30.47 (80352) {G0,W8,D4,L2,V1,M2} { ! one_sorted_str( X ), element(
% 30.07/30.47 cast_as_carrier_subset( X ), powerset( the_carrier( X ) ) ) }.
% 30.07/30.47 (80353) {G0,W1,D1,L1,V0,M1} { && }.
% 30.07/30.47 (80354) {G0,W15,D3,L3,V3,M3} { ! element( Y, powerset( X ) ), ! element( Z
% 30.07/30.47 , powerset( X ) ), element( subset_intersection2( X, Y, Z ), powerset( X
% 30.07/30.47 ) ) }.
% 30.07/30.47 (80355) {G0,W1,D1,L1,V0,M1} { && }.
% 30.07/30.47 (80356) {G0,W1,D1,L1,V0,M1} { && }.
% 30.07/30.47 (80357) {G0,W1,D1,L1,V0,M1} { && }.
% 30.07/30.47 (80358) {G0,W3,D3,L1,V1,M1} { ! empty( powerset( X ) ) }.
% 30.07/30.47 (80359) {G0,W7,D3,L2,V2,M2} { ! element( X, powerset( Y ) ), subset( X, Y
% 30.07/30.47 ) }.
% 30.07/30.47 (80360) {G0,W7,D3,L2,V2,M2} { ! subset( X, Y ), element( X, powerset( Y )
% 30.07/30.47 ) }.
% 30.07/30.47 (80361) {G0,W7,D3,L2,V1,M2} { ! one_sorted_str( X ),
% 30.07/30.47 cast_as_carrier_subset( X ) = the_carrier( X ) }.
% 30.07/30.47 (80362) {G0,W2,D2,L1,V0,M1} { one_sorted_str( skol6 ) }.
% 30.07/30.47 (80363) {G0,W5,D4,L1,V0,M1} { element( skol7, powerset( the_carrier( skol6
% 30.07/30.47 ) ) ) }.
% 30.07/30.47 (80364) {G0,W8,D4,L1,V0,M1} { ! subset_intersection2( the_carrier( skol6 )
% 30.07/30.47 , skol7, cast_as_carrier_subset( skol6 ) ) = skol7 }.
% 30.07/30.47 (80365) {G0,W8,D3,L2,V2,M2} { ! subset( X, Y ), set_intersection2( X, Y )
% 30.07/30.47 = X }.
% 30.07/30.47
% 30.07/30.47
% 30.07/30.47 Total Proof:
% 30.07/30.47
% 30.07/30.47 subsumption: (127) {G0,W3,D2,L1,V1,M1} I { subset( X, X ) }.
% 30.07/30.47 parent0: (80347) {G0,W3,D2,L1,V1,M1} { subset( X, X ) }.
% 30.07/30.47 substitution0:
% 30.07/30.47 X := X
% 30.07/30.47 end
% 30.07/30.47 permutation0:
% 30.07/30.47 0 ==> 0
% 30.07/30.47 end
% 30.07/30.47
% 30.07/30.47 subsumption: (130) {G0,W16,D3,L3,V3,M3} I { ! element( Y, powerset( X ) ),
% 30.07/30.47 ! element( Z, powerset( X ) ), subset_intersection2( X, Y, Z ) ==>
% 30.07/30.47 set_intersection2( Y, Z ) }.
% 30.07/30.47 parent0: (80350) {G0,W16,D3,L3,V3,M3} { ! element( Y, powerset( X ) ), !
% 30.07/30.47 element( Z, powerset( X ) ), subset_intersection2( X, Y, Z ) =
% 30.07/30.47 set_intersection2( Y, Z ) }.
% 30.07/30.47 substitution0:
% 30.07/30.47 X := X
% 30.07/30.47 Y := Y
% 30.07/30.47 Z := Z
% 30.07/30.47 end
% 30.07/30.47 permutation0:
% 30.07/30.47 0 ==> 0
% 30.07/30.47 1 ==> 1
% 30.07/30.47 2 ==> 2
% 30.07/30.47 end
% 30.07/30.47
% 30.07/30.47 subsumption: (134) {G0,W7,D3,L2,V2,M2} I { ! element( X, powerset( Y ) ),
% 30.07/30.47 subset( X, Y ) }.
% 30.07/30.47 parent0: (80359) {G0,W7,D3,L2,V2,M2} { ! element( X, powerset( Y ) ),
% 30.07/30.47 subset( X, Y ) }.
% 30.07/30.47 substitution0:
% 30.07/30.47 X := X
% 30.07/30.47 Y := Y
% 30.07/30.47 end
% 30.07/30.47 permutation0:
% 30.07/30.47 0 ==> 0
% 30.07/30.47 1 ==> 1
% 30.07/30.47 end
% 30.07/30.47
% 30.07/30.47 subsumption: (135) {G0,W7,D3,L2,V2,M2} I { ! subset( X, Y ), element( X,
% 30.07/30.47 powerset( Y ) ) }.
% 30.07/30.47 parent0: (80360) {G0,W7,D3,L2,V2,M2} { ! subset( X, Y ), element( X,
% 30.07/30.47 powerset( Y ) ) }.
% 30.07/30.47 substitution0:
% 30.07/30.47 X := X
% 30.07/30.47 Y := Y
% 30.07/30.47 end
% 30.07/30.47 permutation0:
% 30.07/30.47 0 ==> 0
% 30.07/30.47 1 ==> 1
% 30.07/30.47 end
% 30.07/30.47
% 30.07/30.47 eqswap: (80426) {G0,W7,D3,L2,V1,M2} { the_carrier( X ) =
% 30.07/30.47 cast_as_carrier_subset( X ), ! one_sorted_str( X ) }.
% 30.07/30.47 parent0[1]: (80361) {G0,W7,D3,L2,V1,M2} { ! one_sorted_str( X ),
% 30.07/30.47 cast_as_carrier_subset( X ) = the_carrier( X ) }.
% 30.07/30.47 substitution0:
% 30.07/30.47 X := X
% 30.07/30.47 end
% 30.07/30.47
% 30.07/30.47 subsumption: (136) {G0,W7,D3,L2,V1,M2} I { ! one_sorted_str( X ),
% 30.07/30.47 the_carrier( X ) ==> cast_as_carrier_subset( X ) }.
% 30.07/30.47 parent0: (80426) {G0,W7,D3,L2,V1,M2} { the_carrier( X ) =
% 30.07/30.47 cast_as_carrier_subset( X ), ! one_sorted_str( X ) }.
% 30.07/30.47 substitution0:
% 30.07/30.47 X := X
% 30.07/30.47 end
% 30.07/30.47 permutation0:
% 30.07/30.47 0 ==> 1
% 30.07/30.47 1 ==> 0
% 30.07/30.47 end
% 30.07/30.47
% 30.07/30.47 subsumption: (137) {G0,W2,D2,L1,V0,M1} I { one_sorted_str( skol6 ) }.
% 30.07/30.47 parent0: (80362) {G0,W2,D2,L1,V0,M1} { one_sorted_str( skol6 ) }.
% 30.07/30.47 substitution0:
% 30.07/30.47 end
% 30.07/30.47 permutation0:
% 30.07/30.47 0 ==> 0
% 30.07/30.47 end
% 30.07/30.47
% 30.07/30.47 subsumption: (138) {G0,W5,D4,L1,V0,M1} I { element( skol7, powerset(
% 30.07/30.47 the_carrier( skol6 ) ) ) }.
% 30.07/30.47 parent0: (80363) {G0,W5,D4,L1,V0,M1} { element( skol7, powerset(
% 30.07/30.47 the_carrier( skol6 ) ) ) }.
% 30.07/30.47 substitution0:
% 30.07/30.47 end
% 30.07/30.47 permutation0:
% 30.07/30.47 0 ==> 0
% 30.07/30.47 end
% 30.07/30.47
% 30.07/30.47 subsumption: (139) {G0,W8,D4,L1,V0,M1} I { ! subset_intersection2(
% 30.07/30.47 the_carrier( skol6 ), skol7, cast_as_carrier_subset( skol6 ) ) ==> skol7
% 30.07/30.47 }.
% 30.07/30.47 parent0: (80364) {G0,W8,D4,L1,V0,M1} { ! subset_intersection2( the_carrier
% 30.07/30.47 ( skol6 ), skol7, cast_as_carrier_subset( skol6 ) ) = skol7 }.
% 30.07/30.47 substitution0:
% 30.07/30.47 end
% 30.07/30.47 permutation0:
% 30.07/30.47 0 ==> 0
% 30.07/30.47 end
% 30.07/30.47
% 30.07/30.47 subsumption: (140) {G0,W8,D3,L2,V2,M2} I { ! subset( X, Y ),
% 30.07/30.47 set_intersection2( X, Y ) ==> X }.
% 30.07/30.47 parent0: (80365) {G0,W8,D3,L2,V2,M2} { ! subset( X, Y ), set_intersection2
% 30.07/30.47 ( X, Y ) = X }.
% 30.07/30.47 substitution0:
% 30.07/30.47 X := X
% 30.07/30.47 Y := Y
% 30.07/30.47 end
% 30.07/30.47 permutation0:
% 30.07/30.47 0 ==> 0
% 30.07/30.47 1 ==> 1
% 30.07/30.47 end
% 30.07/30.47
% 30.07/30.47 eqswap: (80486) {G0,W16,D3,L3,V3,M3} { set_intersection2( Y, Z ) ==>
% 30.07/30.47 subset_intersection2( X, Y, Z ), ! element( Y, powerset( X ) ), ! element
% 30.07/30.47 ( Z, powerset( X ) ) }.
% 30.07/30.47 parent0[2]: (130) {G0,W16,D3,L3,V3,M3} I { ! element( Y, powerset( X ) ), !
% 30.07/30.47 element( Z, powerset( X ) ), subset_intersection2( X, Y, Z ) ==>
% 30.07/30.47 set_intersection2( Y, Z ) }.
% 30.07/30.47 substitution0:
% 30.07/30.47 X := X
% 30.07/30.47 Y := Y
% 30.07/30.47 Z := Z
% 30.07/30.47 end
% 30.07/30.47
% 30.07/30.47 resolution: (80488) {G1,W15,D3,L3,V3,M3} { set_intersection2( X, Y ) ==>
% 30.07/30.47 subset_intersection2( Z, X, Y ), ! element( X, powerset( Z ) ), ! subset
% 30.07/30.47 ( Y, Z ) }.
% 30.07/30.47 parent0[2]: (80486) {G0,W16,D3,L3,V3,M3} { set_intersection2( Y, Z ) ==>
% 30.07/30.47 subset_intersection2( X, Y, Z ), ! element( Y, powerset( X ) ), ! element
% 30.07/30.47 ( Z, powerset( X ) ) }.
% 30.07/30.47 parent1[1]: (135) {G0,W7,D3,L2,V2,M2} I { ! subset( X, Y ), element( X,
% 30.07/30.47 powerset( Y ) ) }.
% 30.07/30.47 substitution0:
% 30.07/30.47 X := Z
% 30.07/30.47 Y := X
% 30.07/30.47 Z := Y
% 30.07/30.47 end
% 30.07/30.47 substitution1:
% 30.07/30.47 X := Y
% 30.07/30.47 Y := Z
% 30.07/30.47 end
% 30.07/30.47
% 30.07/30.47 eqswap: (80489) {G1,W15,D3,L3,V3,M3} { subset_intersection2( Z, X, Y ) ==>
% 30.07/30.47 set_intersection2( X, Y ), ! element( X, powerset( Z ) ), ! subset( Y, Z
% 30.07/30.47 ) }.
% 30.07/30.47 parent0[0]: (80488) {G1,W15,D3,L3,V3,M3} { set_intersection2( X, Y ) ==>
% 30.07/30.47 subset_intersection2( Z, X, Y ), ! element( X, powerset( Z ) ), ! subset
% 30.07/30.47 ( Y, Z ) }.
% 30.07/30.47 substitution0:
% 30.07/30.47 X := X
% 30.07/30.47 Y := Y
% 30.07/30.47 Z := Z
% 30.07/30.47 end
% 30.07/30.47
% 30.07/30.47 subsumption: (1512) {G1,W15,D3,L3,V3,M3} R(135,130) { ! subset( X, Y ), !
% 30.07/30.47 element( Z, powerset( Y ) ), subset_intersection2( Y, Z, X ) ==>
% 30.07/30.47 set_intersection2( Z, X ) }.
% 30.07/30.47 parent0: (80489) {G1,W15,D3,L3,V3,M3} { subset_intersection2( Z, X, Y )
% 30.07/30.47 ==> set_intersection2( X, Y ), ! element( X, powerset( Z ) ), ! subset( Y
% 30.07/30.47 , Z ) }.
% 30.07/30.47 substitution0:
% 30.07/30.47 X := Z
% 30.07/30.47 Y := X
% 30.07/30.47 Z := Y
% 30.07/30.47 end
% 30.07/30.47 permutation0:
% 30.07/30.47 0 ==> 2
% 30.07/30.47 1 ==> 1
% 30.07/30.47 2 ==> 0
% 30.07/30.47 end
% 30.07/30.47
% 30.07/30.47 eqswap: (80491) {G0,W7,D3,L2,V1,M2} { cast_as_carrier_subset( X ) ==>
% 30.07/30.47 the_carrier( X ), ! one_sorted_str( X ) }.
% 30.07/30.47 parent0[1]: (136) {G0,W7,D3,L2,V1,M2} I { ! one_sorted_str( X ),
% 30.07/30.47 the_carrier( X ) ==> cast_as_carrier_subset( X ) }.
% 30.07/30.47 substitution0:
% 30.07/30.47 X := X
% 30.07/30.47 end
% 30.07/30.47
% 30.07/30.47 resolution: (80492) {G1,W5,D3,L1,V0,M1} { cast_as_carrier_subset( skol6 )
% 30.07/30.47 ==> the_carrier( skol6 ) }.
% 30.07/30.47 parent0[1]: (80491) {G0,W7,D3,L2,V1,M2} { cast_as_carrier_subset( X ) ==>
% 30.07/30.47 the_carrier( X ), ! one_sorted_str( X ) }.
% 30.07/30.47 parent1[0]: (137) {G0,W2,D2,L1,V0,M1} I { one_sorted_str( skol6 ) }.
% 30.07/30.47 substitution0:
% 30.07/30.47 X := skol6
% 30.07/30.47 end
% 30.07/30.47 substitution1:
% 30.07/30.47 end
% 30.07/30.47
% 30.07/30.47 eqswap: (80493) {G1,W5,D3,L1,V0,M1} { the_carrier( skol6 ) ==>
% 30.07/30.47 cast_as_carrier_subset( skol6 ) }.
% 30.07/30.47 parent0[0]: (80492) {G1,W5,D3,L1,V0,M1} { cast_as_carrier_subset( skol6 )
% 30.07/30.47 ==> the_carrier( skol6 ) }.
% 30.07/30.47 substitution0:
% 30.07/30.47 end
% 30.07/30.47
% 30.07/30.47 subsumption: (1558) {G1,W5,D3,L1,V0,M1} R(136,137) { the_carrier( skol6 )
% 30.07/30.47 ==> cast_as_carrier_subset( skol6 ) }.
% 30.07/30.47 parent0: (80493) {G1,W5,D3,L1,V0,M1} { the_carrier( skol6 ) ==>
% 30.07/30.47 cast_as_carrier_subset( skol6 ) }.
% 30.07/30.47 substitution0:
% 30.07/30.47 end
% 30.07/30.47 permutation0:
% 30.07/30.47 0 ==> 0
% 30.07/30.47 end
% 30.07/30.47
% 30.07/30.47 paramod: (80495) {G1,W5,D4,L1,V0,M1} { element( skol7, powerset(
% 30.07/30.47 cast_as_carrier_subset( skol6 ) ) ) }.
% 30.07/30.47 parent0[0]: (1558) {G1,W5,D3,L1,V0,M1} R(136,137) { the_carrier( skol6 )
% 30.07/30.47 ==> cast_as_carrier_subset( skol6 ) }.
% 30.07/30.47 parent1[0; 3]: (138) {G0,W5,D4,L1,V0,M1} I { element( skol7, powerset(
% 30.07/30.47 the_carrier( skol6 ) ) ) }.
% 30.07/30.47 substitution0:
% 30.07/30.47 end
% 30.07/30.47 substitution1:
% 30.07/30.47 end
% 30.07/30.47
% 30.07/30.47 subsumption: (1577) {G2,W5,D4,L1,V0,M1} S(138);d(1558) { element( skol7,
% 30.07/30.47 powerset( cast_as_carrier_subset( skol6 ) ) ) }.
% 30.07/30.47 parent0: (80495) {G1,W5,D4,L1,V0,M1} { element( skol7, powerset(
% 30.07/30.47 cast_as_carrier_subset( skol6 ) ) ) }.
% 30.07/30.47 substitution0:
% 30.07/30.47 end
% 30.07/30.47 permutation0:
% 30.07/30.47 0 ==> 0
% 30.07/30.47 end
% 30.07/30.47
% 30.07/30.47 paramod: (80498) {G1,W8,D4,L1,V0,M1} { ! subset_intersection2(
% 30.07/30.47 cast_as_carrier_subset( skol6 ), skol7, cast_as_carrier_subset( skol6 ) )
% 30.07/30.47 ==> skol7 }.
% 30.07/30.47 parent0[0]: (1558) {G1,W5,D3,L1,V0,M1} R(136,137) { the_carrier( skol6 )
% 30.07/30.47 ==> cast_as_carrier_subset( skol6 ) }.
% 30.07/30.47 parent1[0; 3]: (139) {G0,W8,D4,L1,V0,M1} I { ! subset_intersection2(
% 30.07/30.47 the_carrier( skol6 ), skol7, cast_as_carrier_subset( skol6 ) ) ==> skol7
% 30.07/30.47 }.
% 30.07/30.47 substitution0:
% 30.07/30.47 end
% 30.07/30.47 substitution1:
% 30.07/30.47 end
% 30.07/30.47
% 30.07/30.47 subsumption: (1591) {G2,W8,D4,L1,V0,M1} S(139);d(1558) { !
% 30.07/30.47 subset_intersection2( cast_as_carrier_subset( skol6 ), skol7,
% 30.07/30.47 cast_as_carrier_subset( skol6 ) ) ==> skol7 }.
% 30.07/30.47 parent0: (80498) {G1,W8,D4,L1,V0,M1} { ! subset_intersection2(
% 30.07/30.47 cast_as_carrier_subset( skol6 ), skol7, cast_as_carrier_subset( skol6 ) )
% 30.07/30.47 ==> skol7 }.
% 30.07/30.47 substitution0:
% 30.07/30.47 end
% 30.07/30.47 permutation0:
% 30.07/30.47 0 ==> 0
% 30.07/30.47 end
% 30.07/30.47
% 30.07/30.47 eqswap: (80500) {G0,W8,D3,L2,V2,M2} { X ==> set_intersection2( X, Y ), !
% 30.07/30.47 subset( X, Y ) }.
% 30.07/30.47 parent0[1]: (140) {G0,W8,D3,L2,V2,M2} I { ! subset( X, Y ),
% 30.07/30.47 set_intersection2( X, Y ) ==> X }.
% 30.07/30.47 substitution0:
% 30.07/30.47 X := X
% 30.07/30.47 Y := Y
% 30.07/30.47 end
% 30.07/30.47
% 30.07/30.47 resolution: (80501) {G1,W9,D3,L2,V2,M2} { X ==> set_intersection2( X, Y )
% 30.07/30.47 , ! element( X, powerset( Y ) ) }.
% 30.07/30.47 parent0[1]: (80500) {G0,W8,D3,L2,V2,M2} { X ==> set_intersection2( X, Y )
% 30.07/30.47 , ! subset( X, Y ) }.
% 30.07/30.47 parent1[1]: (134) {G0,W7,D3,L2,V2,M2} I { ! element( X, powerset( Y ) ),
% 30.07/30.47 subset( X, Y ) }.
% 30.07/30.47 substitution0:
% 30.07/30.47 X := X
% 30.07/30.47 Y := Y
% 30.07/30.47 end
% 30.07/30.47 substitution1:
% 30.07/30.47 X := X
% 30.07/30.47 Y := Y
% 30.07/30.47 end
% 30.07/30.47
% 30.07/30.47 eqswap: (80502) {G1,W9,D3,L2,V2,M2} { set_intersection2( X, Y ) ==> X, !
% 30.07/30.47 element( X, powerset( Y ) ) }.
% 30.07/30.47 parent0[0]: (80501) {G1,W9,D3,L2,V2,M2} { X ==> set_intersection2( X, Y )
% 30.07/30.47 , ! element( X, powerset( Y ) ) }.
% 30.07/30.47 substitution0:
% 30.07/30.47 X := X
% 30.07/30.47 Y := Y
% 30.07/30.47 end
% 30.07/30.47
% 30.07/30.47 subsumption: (1609) {G1,W9,D3,L2,V2,M2} R(140,134) { set_intersection2( X,
% 30.07/30.47 Y ) ==> X, ! element( X, powerset( Y ) ) }.
% 30.07/30.47 parent0: (80502) {G1,W9,D3,L2,V2,M2} { set_intersection2( X, Y ) ==> X, !
% 30.07/30.47 element( X, powerset( Y ) ) }.
% 30.07/30.47 substitution0:
% 30.07/30.47 X := X
% 30.07/30.47 Y := Y
% 30.07/30.47 end
% 30.07/30.47 permutation0:
% 30.07/30.47 0 ==> 0
% 30.07/30.47 1 ==> 1
% 30.07/30.47 end
% 30.07/30.47
% 30.07/30.47 eqswap: (80504) {G2,W8,D4,L1,V0,M1} { ! skol7 ==> subset_intersection2(
% 30.07/30.47 cast_as_carrier_subset( skol6 ), skol7, cast_as_carrier_subset( skol6 ) )
% 30.07/30.47 }.
% 30.07/30.47 parent0[0]: (1591) {G2,W8,D4,L1,V0,M1} S(139);d(1558) { !
% 30.07/30.47 subset_intersection2( cast_as_carrier_subset( skol6 ), skol7,
% 30.07/30.47 cast_as_carrier_subset( skol6 ) ) ==> skol7 }.
% 30.07/30.47 substitution0:
% 30.07/30.47 end
% 30.07/30.47
% 30.07/30.47 paramod: (80506) {G2,W16,D4,L3,V0,M3} { ! skol7 ==> set_intersection2(
% 30.07/30.47 skol7, cast_as_carrier_subset( skol6 ) ), ! subset(
% 30.07/30.47 cast_as_carrier_subset( skol6 ), cast_as_carrier_subset( skol6 ) ), !
% 30.07/30.47 element( skol7, powerset( cast_as_carrier_subset( skol6 ) ) ) }.
% 30.07/30.47 parent0[2]: (1512) {G1,W15,D3,L3,V3,M3} R(135,130) { ! subset( X, Y ), !
% 30.07/30.47 element( Z, powerset( Y ) ), subset_intersection2( Y, Z, X ) ==>
% 30.07/30.47 set_intersection2( Z, X ) }.
% 30.07/30.47 parent1[0; 3]: (80504) {G2,W8,D4,L1,V0,M1} { ! skol7 ==>
% 30.07/30.47 subset_intersection2( cast_as_carrier_subset( skol6 ), skol7,
% 30.07/30.47 cast_as_carrier_subset( skol6 ) ) }.
% 30.07/30.47 substitution0:
% 30.07/30.47 X := cast_as_carrier_subset( skol6 )
% 30.07/30.47 Y := cast_as_carrier_subset( skol6 )
% 30.07/30.47 Z := skol7
% 30.07/30.47 end
% 30.07/30.47 substitution1:
% 30.07/30.47 end
% 30.07/30.47
% 30.07/30.47 paramod: (80507) {G2,W18,D4,L4,V0,M4} { ! skol7 ==> skol7, ! element(
% 30.07/30.47 skol7, powerset( cast_as_carrier_subset( skol6 ) ) ), ! subset(
% 30.07/30.47 cast_as_carrier_subset( skol6 ), cast_as_carrier_subset( skol6 ) ), !
% 30.07/30.47 element( skol7, powerset( cast_as_carrier_subset( skol6 ) ) ) }.
% 30.07/30.47 parent0[0]: (1609) {G1,W9,D3,L2,V2,M2} R(140,134) { set_intersection2( X, Y
% 30.07/30.47 ) ==> X, ! element( X, powerset( Y ) ) }.
% 30.07/30.47 parent1[0; 3]: (80506) {G2,W16,D4,L3,V0,M3} { ! skol7 ==>
% 30.07/30.47 set_intersection2( skol7, cast_as_carrier_subset( skol6 ) ), ! subset(
% 30.07/30.47 cast_as_carrier_subset( skol6 ), cast_as_carrier_subset( skol6 ) ), !
% 30.07/30.47 element( skol7, powerset( cast_as_carrier_subset( skol6 ) ) ) }.
% 30.07/30.47 substitution0:
% 30.07/30.47 X := skol7
% 30.07/30.47 Y := cast_as_carrier_subset( skol6 )
% 30.07/30.47 end
% 30.07/30.47 substitution1:
% 30.07/30.47 end
% 30.07/30.47
% 30.07/30.47 factor: (80508) {G2,W13,D4,L3,V0,M3} { ! skol7 ==> skol7, ! element( skol7
% 30.07/30.47 , powerset( cast_as_carrier_subset( skol6 ) ) ), ! subset(
% 30.07/30.47 cast_as_carrier_subset( skol6 ), cast_as_carrier_subset( skol6 ) ) }.
% 30.07/30.47 parent0[1, 3]: (80507) {G2,W18,D4,L4,V0,M4} { ! skol7 ==> skol7, ! element
% 30.07/30.47 ( skol7, powerset( cast_as_carrier_subset( skol6 ) ) ), ! subset(
% 30.07/30.47 cast_as_carrier_subset( skol6 ), cast_as_carrier_subset( skol6 ) ), !
% 30.07/30.47 element( skol7, powerset( cast_as_carrier_subset( skol6 ) ) ) }.
% 30.07/30.47 substitution0:
% 30.07/30.47 end
% 30.07/30.47
% 30.07/30.47 eqrefl: (80509) {G0,W10,D4,L2,V0,M2} { ! element( skol7, powerset(
% 30.07/30.47 cast_as_carrier_subset( skol6 ) ) ), ! subset( cast_as_carrier_subset(
% 30.07/30.47 skol6 ), cast_as_carrier_subset( skol6 ) ) }.
% 30.07/30.47 parent0[0]: (80508) {G2,W13,D4,L3,V0,M3} { ! skol7 ==> skol7, ! element(
% 30.07/30.47 skol7, powerset( cast_as_carrier_subset( skol6 ) ) ), ! subset(
% 30.07/30.47 cast_as_carrier_subset( skol6 ), cast_as_carrier_subset( skol6 ) ) }.
% 30.07/30.47 substitution0:
% 30.07/30.47 end
% 30.07/30.47
% 30.07/30.47 resolution: (80510) {G1,W5,D4,L1,V0,M1} { ! element( skol7, powerset(
% 30.07/30.47 cast_as_carrier_subset( skol6 ) ) ) }.
% 30.07/30.47 parent0[1]: (80509) {G0,W10,D4,L2,V0,M2} { ! element( skol7, powerset(
% 30.07/30.47 cast_as_carrier_subset( skol6 ) ) ), ! subset( cast_as_carrier_subset(
% 30.07/30.47 skol6 ), cast_as_carrier_subset( skol6 ) ) }.
% 30.07/30.47 parent1[0]: (127) {G0,W3,D2,L1,V1,M1} I { subset( X, X ) }.
% 30.07/30.47 substitution0:
% 30.07/30.47 end
% 30.07/30.47 substitution1:
% 30.07/30.47 X := cast_as_carrier_subset( skol6 )
% 30.07/30.47 end
% 30.07/30.47
% 30.07/30.47 subsumption: (79818) {G3,W5,D4,L1,V0,M1} P(1512,1591);d(1609);q;r(127) { !
% 30.07/30.47 element( skol7, powerset( cast_as_carrier_subset( skol6 ) ) ) }.
% 30.07/30.47 parent0: (80510) {G1,W5,D4,L1,V0,M1} { ! element( skol7, powerset(
% 30.07/30.47 cast_as_carrier_subset( skol6 ) ) ) }.
% 30.07/30.47 substitution0:
% 30.07/30.47 end
% 30.07/30.47 permutation0:
% 30.07/30.47 0 ==> 0
% 30.07/30.47 end
% 30.07/30.47
% 30.07/30.47 resolution: (80511) {G3,W0,D0,L0,V0,M0} { }.
% 30.07/30.47 parent0[0]: (79818) {G3,W5,D4,L1,V0,M1} P(1512,1591);d(1609);q;r(127) { !
% 30.07/30.47 element( skol7, powerset( cast_as_carrier_subset( skol6 ) ) ) }.
% 30.07/30.47 parent1[0]: (1577) {G2,W5,D4,L1,V0,M1} S(138);d(1558) { element( skol7,
% 30.07/30.47 powerset( cast_as_carrier_subset( skol6 ) ) ) }.
% 30.07/30.47 substitution0:
% 30.07/30.47 end
% 30.07/30.47 substitution1:
% 30.07/30.47 end
% 30.07/30.47
% 30.07/30.47 subsumption: (80218) {G4,W0,D0,L0,V0,M0} S(79818);r(1577) { }.
% 30.07/30.47 parent0: (80511) {G3,W0,D0,L0,V0,M0} { }.
% 30.07/30.47 substitution0:
% 30.07/30.47 end
% 30.07/30.47 permutation0:
% 30.07/30.47 end
% 30.07/30.47
% 30.07/30.47 Proof check complete!
% 30.07/30.47
% 30.07/30.47 Memory use:
% 30.07/30.47
% 30.07/30.47 space for terms: 998674
% 30.07/30.47 space for clauses: 3165177
% 30.07/30.47
% 30.07/30.47
% 30.07/30.47 clauses generated: 498968
% 30.07/30.47 clauses kept: 80219
% 30.07/30.47 clauses selected: 4299
% 30.07/30.47 clauses deleted: 3527
% 30.07/30.47 clauses inuse deleted: 118
% 30.07/30.47
% 30.07/30.47 subsentry: 3865078
% 30.07/30.47 literals s-matched: 2334211
% 30.07/30.47 literals matched: 2050036
% 30.07/30.47 full subsumption: 148784
% 30.07/30.47
% 30.07/30.47 checksum: 721611989
% 30.07/30.47
% 30.07/30.47
% 30.07/30.47 Bliksem ended
%------------------------------------------------------------------------------