TSTP Solution File: SEU284+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SEU284+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n022.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 07:12:07 EDT 2022
% Result : Theorem 0.44s 1.07s
% Output : Refutation 0.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU284+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Mon Jun 20 02:36:01 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.44/1.07 *** allocated 10000 integers for termspace/termends
% 0.44/1.07 *** allocated 10000 integers for clauses
% 0.44/1.07 *** allocated 10000 integers for justifications
% 0.44/1.07 Bliksem 1.12
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 Automatic Strategy Selection
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 Clauses:
% 0.44/1.07
% 0.44/1.07 { ! relation( X ), ! function( X ), ! relation_dom( X ) = skol1, in( skol13
% 0.44/1.07 ( Y ), skol1 ) }.
% 0.44/1.07 { ! relation( X ), ! function( X ), ! relation_dom( X ) = skol1, ! apply( X
% 0.44/1.07 , skol13( X ) ) = singleton( skol13( X ) ) }.
% 0.44/1.07 { ! in( X, Y ), ! in( Y, X ) }.
% 0.44/1.07 { && }.
% 0.44/1.07 { && }.
% 0.44/1.07 { && }.
% 0.44/1.07 { relation( skol2 ) }.
% 0.44/1.07 { function( skol2 ) }.
% 0.44/1.07 { alpha1( X ), alpha2( skol3( Y ) ) }.
% 0.44/1.07 { alpha1( X ), relation_dom( skol3( X ) ) = X }.
% 0.44/1.07 { alpha1( X ), ! in( Y, X ), apply( skol3( X ), Y ) = singleton( Y ) }.
% 0.44/1.07 { ! alpha2( X ), relation( X ) }.
% 0.44/1.07 { ! alpha2( X ), function( X ) }.
% 0.44/1.07 { ! relation( X ), ! function( X ), alpha2( X ) }.
% 0.44/1.07 { ! alpha1( X ), alpha3( X ), ! Z = singleton( skol4( Y ) ) }.
% 0.44/1.07 { ! alpha1( X ), alpha3( X ), in( skol4( X ), X ) }.
% 0.44/1.07 { ! alpha3( X ), alpha1( X ) }.
% 0.44/1.07 { ! in( Y, X ), skol14( Y ) = singleton( Y ), alpha1( X ) }.
% 0.44/1.07 { ! alpha3( X ), alpha4( X, skol5( X ), skol15( X ) ) }.
% 0.44/1.07 { ! alpha3( X ), ! skol5( X ) = skol15( X ) }.
% 0.44/1.07 { ! alpha4( X, Y, Z ), Y = Z, alpha3( X ) }.
% 0.44/1.07 { ! alpha4( X, Y, Z ), Z = singleton( skol6( T, U, Z ) ) }.
% 0.44/1.07 { ! alpha4( X, Y, Z ), Y = singleton( skol6( T, Y, Z ) ) }.
% 0.44/1.07 { ! alpha4( X, Y, Z ), in( skol6( X, Y, Z ), X ) }.
% 0.44/1.07 { ! in( T, X ), ! Y = singleton( T ), ! Z = singleton( T ), alpha4( X, Y, Z
% 0.44/1.07 ) }.
% 0.44/1.07 { ! empty( X ), function( X ) }.
% 0.44/1.07 { ! empty( X ), relation( X ) }.
% 0.44/1.07 { && }.
% 0.44/1.07 { && }.
% 0.44/1.07 { element( skol7( X ), X ) }.
% 0.44/1.07 { empty( empty_set ) }.
% 0.44/1.07 { relation( empty_set ) }.
% 0.44/1.07 { relation_empty_yielding( empty_set ) }.
% 0.44/1.07 { empty( empty_set ) }.
% 0.44/1.07 { empty( empty_set ) }.
% 0.44/1.07 { relation( empty_set ) }.
% 0.44/1.07 { empty( X ), ! relation( X ), ! empty( relation_dom( X ) ) }.
% 0.44/1.07 { ! empty( X ), empty( relation_dom( X ) ) }.
% 0.44/1.07 { ! empty( X ), relation( relation_dom( X ) ) }.
% 0.44/1.07 { empty( skol8 ) }.
% 0.44/1.07 { relation( skol8 ) }.
% 0.44/1.07 { empty( skol9 ) }.
% 0.44/1.07 { ! empty( skol10 ) }.
% 0.44/1.07 { relation( skol10 ) }.
% 0.44/1.07 { ! empty( skol11 ) }.
% 0.44/1.07 { relation( skol12 ) }.
% 0.44/1.07 { relation_empty_yielding( skol12 ) }.
% 0.44/1.07 { ! in( X, Y ), element( X, Y ) }.
% 0.44/1.07 { ! element( X, Y ), empty( Y ), in( X, Y ) }.
% 0.44/1.07 { ! empty( X ), X = empty_set }.
% 0.44/1.07 { ! in( X, Y ), ! empty( Y ) }.
% 0.44/1.07 { ! empty( X ), X = Y, ! empty( Y ) }.
% 0.44/1.07
% 0.44/1.07 percentage equality = 0.166667, percentage horn = 0.844444
% 0.44/1.07 This is a problem with some equality
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 Options Used:
% 0.44/1.07
% 0.44/1.07 useres = 1
% 0.44/1.07 useparamod = 1
% 0.44/1.07 useeqrefl = 1
% 0.44/1.07 useeqfact = 1
% 0.44/1.07 usefactor = 1
% 0.44/1.07 usesimpsplitting = 0
% 0.44/1.07 usesimpdemod = 5
% 0.44/1.07 usesimpres = 3
% 0.44/1.07
% 0.44/1.07 resimpinuse = 1000
% 0.44/1.07 resimpclauses = 20000
% 0.44/1.07 substype = eqrewr
% 0.44/1.07 backwardsubs = 1
% 0.44/1.07 selectoldest = 5
% 0.44/1.07
% 0.44/1.07 litorderings [0] = split
% 0.44/1.07 litorderings [1] = extend the termordering, first sorting on arguments
% 0.44/1.07
% 0.44/1.07 termordering = kbo
% 0.44/1.07
% 0.44/1.07 litapriori = 0
% 0.44/1.07 termapriori = 1
% 0.44/1.07 litaposteriori = 0
% 0.44/1.07 termaposteriori = 0
% 0.44/1.07 demodaposteriori = 0
% 0.44/1.07 ordereqreflfact = 0
% 0.44/1.07
% 0.44/1.07 litselect = negord
% 0.44/1.07
% 0.44/1.07 maxweight = 15
% 0.44/1.07 maxdepth = 30000
% 0.44/1.07 maxlength = 115
% 0.44/1.07 maxnrvars = 195
% 0.44/1.07 excuselevel = 1
% 0.44/1.07 increasemaxweight = 1
% 0.44/1.07
% 0.44/1.07 maxselected = 10000000
% 0.44/1.07 maxnrclauses = 10000000
% 0.44/1.07
% 0.44/1.07 showgenerated = 0
% 0.44/1.07 showkept = 0
% 0.44/1.07 showselected = 0
% 0.44/1.07 showdeleted = 0
% 0.44/1.07 showresimp = 1
% 0.44/1.07 showstatus = 2000
% 0.44/1.07
% 0.44/1.07 prologoutput = 0
% 0.44/1.07 nrgoals = 5000000
% 0.44/1.07 totalproof = 1
% 0.44/1.07
% 0.44/1.07 Symbols occurring in the translation:
% 0.44/1.07
% 0.44/1.07 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.44/1.07 . [1, 2] (w:1, o:39, a:1, s:1, b:0),
% 0.44/1.07 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 0.44/1.07 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 0.44/1.07 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.07 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.07 relation [37, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.44/1.07 function [38, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.44/1.07 relation_dom [39, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.44/1.07 in [41, 2] (w:1, o:63, a:1, s:1, b:0),
% 0.44/1.07 apply [42, 2] (w:1, o:64, a:1, s:1, b:0),
% 0.44/1.07 singleton [43, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.44/1.07 empty [45, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.44/1.07 element [46, 2] (w:1, o:65, a:1, s:1, b:0),
% 0.44/1.07 empty_set [47, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.44/1.07 relation_empty_yielding [48, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.44/1.07 alpha1 [49, 1] (w:1, o:29, a:1, s:1, b:1),
% 0.44/1.07 alpha2 [50, 1] (w:1, o:30, a:1, s:1, b:1),
% 0.44/1.07 alpha3 [51, 1] (w:1, o:31, a:1, s:1, b:1),
% 0.44/1.07 alpha4 [52, 3] (w:1, o:66, a:1, s:1, b:1),
% 0.44/1.07 skol1 [53, 0] (w:1, o:11, a:1, s:1, b:1),
% 0.44/1.07 skol2 [54, 0] (w:1, o:15, a:1, s:1, b:1),
% 0.44/1.07 skol3 [55, 1] (w:1, o:32, a:1, s:1, b:1),
% 0.44/1.07 skol4 [56, 1] (w:1, o:33, a:1, s:1, b:1),
% 0.44/1.07 skol5 [57, 1] (w:1, o:34, a:1, s:1, b:1),
% 0.44/1.07 skol6 [58, 3] (w:1, o:67, a:1, s:1, b:1),
% 0.44/1.07 skol7 [59, 1] (w:1, o:35, a:1, s:1, b:1),
% 0.44/1.07 skol8 [60, 0] (w:1, o:16, a:1, s:1, b:1),
% 0.44/1.07 skol9 [61, 0] (w:1, o:17, a:1, s:1, b:1),
% 0.44/1.07 skol10 [62, 0] (w:1, o:12, a:1, s:1, b:1),
% 0.44/1.07 skol11 [63, 0] (w:1, o:13, a:1, s:1, b:1),
% 0.44/1.07 skol12 [64, 0] (w:1, o:14, a:1, s:1, b:1),
% 0.44/1.07 skol13 [65, 1] (w:1, o:36, a:1, s:1, b:1),
% 0.44/1.07 skol14 [66, 1] (w:1, o:37, a:1, s:1, b:1),
% 0.44/1.07 skol15 [67, 1] (w:1, o:38, a:1, s:1, b:1).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 Starting Search:
% 0.44/1.07
% 0.44/1.07 *** allocated 15000 integers for clauses
% 0.44/1.07 *** allocated 22500 integers for clauses
% 0.44/1.07
% 0.44/1.07 Bliksems!, er is een bewijs:
% 0.44/1.07 % SZS status Theorem
% 0.44/1.07 % SZS output start Refutation
% 0.44/1.07
% 0.44/1.07 (0) {G0,W12,D3,L4,V2,M4} I { ! relation( X ), ! function( X ), !
% 0.44/1.07 relation_dom( X ) ==> skol1, in( skol13( Y ), skol1 ) }.
% 0.44/1.07 (1) {G0,W16,D4,L4,V1,M4} I { ! relation( X ), ! function( X ), !
% 0.44/1.07 relation_dom( X ) ==> skol1, ! apply( X, skol13( X ) ) ==> singleton(
% 0.44/1.07 skol13( X ) ) }.
% 0.44/1.07 (6) {G0,W5,D3,L2,V2,M2} I { alpha1( X ), alpha2( skol3( Y ) ) }.
% 0.44/1.07 (7) {G0,W7,D4,L2,V1,M2} I { alpha1( X ), relation_dom( skol3( X ) ) ==> X
% 0.44/1.07 }.
% 0.44/1.07 (8) {G0,W12,D4,L3,V2,M3} I { alpha1( X ), ! in( Y, X ), apply( skol3( X ),
% 0.44/1.07 Y ) ==> singleton( Y ) }.
% 0.44/1.07 (9) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), relation( X ) }.
% 0.44/1.07 (10) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), function( X ) }.
% 0.44/1.07 (12) {G0,W9,D4,L3,V3,M3} I { ! alpha1( X ), alpha3( X ), ! Z = singleton(
% 0.44/1.07 skol4( Y ) ) }.
% 0.44/1.07 (16) {G0,W8,D3,L2,V1,M2} I { ! alpha3( X ), alpha4( X, skol5( X ), skol15(
% 0.44/1.07 X ) ) }.
% 0.44/1.07 (17) {G0,W7,D3,L2,V1,M2} I { ! alpha3( X ), ! skol15( X ) ==> skol5( X )
% 0.44/1.07 }.
% 0.44/1.07 (19) {G0,W11,D4,L2,V5,M2} I { ! alpha4( X, Y, Z ), singleton( skol6( T, U,
% 0.44/1.07 Z ) ) ==> Z }.
% 0.44/1.07 (20) {G0,W11,D4,L2,V4,M2} I { ! alpha4( X, Y, Z ), singleton( skol6( T, Y,
% 0.44/1.07 Z ) ) ==> Y }.
% 0.44/1.07 (46) {G1,W4,D2,L2,V1,M2} Q(12) { ! alpha1( X ), alpha3( X ) }.
% 0.44/1.07 (82) {G1,W5,D3,L2,V2,M2} R(10,6) { function( skol3( X ) ), alpha1( Y ) }.
% 0.44/1.07 (85) {G1,W5,D3,L2,V2,M2} R(9,6) { relation( skol3( X ) ), alpha1( Y ) }.
% 0.44/1.07 (116) {G2,W5,D3,L2,V2,M2} R(85,46) { relation( skol3( X ) ), alpha3( Y )
% 0.44/1.07 }.
% 0.44/1.07 (119) {G2,W5,D3,L2,V2,M2} R(82,46) { function( skol3( X ) ), alpha3( Y )
% 0.44/1.07 }.
% 0.44/1.07 (227) {G1,W11,D5,L2,V3,M2} R(19,16) { singleton( skol6( X, Y, skol15( Z ) )
% 0.44/1.07 ) ==> skol15( Z ), ! alpha3( Z ) }.
% 0.44/1.07 (240) {G2,W2,D2,L1,V1,M1} R(20,16);d(227);r(17) { ! alpha3( Y ) }.
% 0.44/1.07 (250) {G3,W3,D3,L1,V1,M1} R(240,119) { function( skol3( X ) ) }.
% 0.44/1.07 (251) {G3,W3,D3,L1,V1,M1} R(240,116) { relation( skol3( X ) ) }.
% 0.44/1.07 (252) {G3,W2,D2,L1,V1,M1} R(240,46) { ! alpha1( X ) }.
% 0.44/1.07 (255) {G4,W5,D4,L1,V1,M1} R(252,7) { relation_dom( skol3( X ) ) ==> X }.
% 0.44/1.07 (257) {G5,W7,D3,L2,V2,M2} R(250,0);d(255);r(251) { in( skol13( Y ), skol1 )
% 0.44/1.07 , ! X = skol1 }.
% 0.44/1.07 (260) {G6,W4,D3,L1,V1,M1} Q(257) { in( skol13( X ), skol1 ) }.
% 0.44/1.07 (275) {G7,W9,D4,L1,V1,M1} R(260,8);r(252) { apply( skol3( skol1 ), skol13(
% 0.44/1.07 X ) ) ==> singleton( skol13( X ) ) }.
% 0.44/1.07 (319) {G8,W3,D3,L1,V0,M1} R(255,1);d(275);q;r(251) { ! function( skol3(
% 0.44/1.07 skol1 ) ) }.
% 0.44/1.07 (325) {G9,W0,D0,L0,V0,M0} S(319);r(250) { }.
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 % SZS output end Refutation
% 0.44/1.07 found a proof!
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 Unprocessed initial clauses:
% 0.44/1.07
% 0.44/1.07 (327) {G0,W12,D3,L4,V2,M4} { ! relation( X ), ! function( X ), !
% 0.44/1.07 relation_dom( X ) = skol1, in( skol13( Y ), skol1 ) }.
% 0.44/1.07 (328) {G0,W16,D4,L4,V1,M4} { ! relation( X ), ! function( X ), !
% 0.44/1.07 relation_dom( X ) = skol1, ! apply( X, skol13( X ) ) = singleton( skol13
% 0.44/1.07 ( X ) ) }.
% 0.44/1.07 (329) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), ! in( Y, X ) }.
% 0.44/1.07 (330) {G0,W1,D1,L1,V0,M1} { && }.
% 0.44/1.07 (331) {G0,W1,D1,L1,V0,M1} { && }.
% 0.44/1.07 (332) {G0,W1,D1,L1,V0,M1} { && }.
% 0.44/1.07 (333) {G0,W2,D2,L1,V0,M1} { relation( skol2 ) }.
% 0.44/1.07 (334) {G0,W2,D2,L1,V0,M1} { function( skol2 ) }.
% 0.44/1.07 (335) {G0,W5,D3,L2,V2,M2} { alpha1( X ), alpha2( skol3( Y ) ) }.
% 0.44/1.07 (336) {G0,W7,D4,L2,V1,M2} { alpha1( X ), relation_dom( skol3( X ) ) = X
% 0.44/1.07 }.
% 0.44/1.07 (337) {G0,W12,D4,L3,V2,M3} { alpha1( X ), ! in( Y, X ), apply( skol3( X )
% 0.44/1.07 , Y ) = singleton( Y ) }.
% 0.44/1.07 (338) {G0,W4,D2,L2,V1,M2} { ! alpha2( X ), relation( X ) }.
% 0.44/1.07 (339) {G0,W4,D2,L2,V1,M2} { ! alpha2( X ), function( X ) }.
% 0.44/1.07 (340) {G0,W6,D2,L3,V1,M3} { ! relation( X ), ! function( X ), alpha2( X )
% 0.44/1.07 }.
% 0.44/1.07 (341) {G0,W9,D4,L3,V3,M3} { ! alpha1( X ), alpha3( X ), ! Z = singleton(
% 0.44/1.07 skol4( Y ) ) }.
% 0.44/1.07 (342) {G0,W8,D3,L3,V1,M3} { ! alpha1( X ), alpha3( X ), in( skol4( X ), X
% 0.44/1.07 ) }.
% 0.44/1.07 (343) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), alpha1( X ) }.
% 0.44/1.07 (344) {G0,W10,D3,L3,V2,M3} { ! in( Y, X ), skol14( Y ) = singleton( Y ),
% 0.44/1.07 alpha1( X ) }.
% 0.44/1.07 (345) {G0,W8,D3,L2,V1,M2} { ! alpha3( X ), alpha4( X, skol5( X ), skol15(
% 0.44/1.07 X ) ) }.
% 0.44/1.07 (346) {G0,W7,D3,L2,V1,M2} { ! alpha3( X ), ! skol5( X ) = skol15( X ) }.
% 0.44/1.07 (347) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y, Z ), Y = Z, alpha3( X ) }.
% 0.44/1.07 (348) {G0,W11,D4,L2,V5,M2} { ! alpha4( X, Y, Z ), Z = singleton( skol6( T
% 0.44/1.07 , U, Z ) ) }.
% 0.44/1.07 (349) {G0,W11,D4,L2,V4,M2} { ! alpha4( X, Y, Z ), Y = singleton( skol6( T
% 0.44/1.07 , Y, Z ) ) }.
% 0.44/1.07 (350) {G0,W10,D3,L2,V3,M2} { ! alpha4( X, Y, Z ), in( skol6( X, Y, Z ), X
% 0.44/1.07 ) }.
% 0.44/1.07 (351) {G0,W15,D3,L4,V4,M4} { ! in( T, X ), ! Y = singleton( T ), ! Z =
% 0.44/1.07 singleton( T ), alpha4( X, Y, Z ) }.
% 0.44/1.07 (352) {G0,W4,D2,L2,V1,M2} { ! empty( X ), function( X ) }.
% 0.44/1.07 (353) {G0,W4,D2,L2,V1,M2} { ! empty( X ), relation( X ) }.
% 0.44/1.07 (354) {G0,W1,D1,L1,V0,M1} { && }.
% 0.44/1.07 (355) {G0,W1,D1,L1,V0,M1} { && }.
% 0.44/1.07 (356) {G0,W4,D3,L1,V1,M1} { element( skol7( X ), X ) }.
% 0.44/1.07 (357) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 0.44/1.07 (358) {G0,W2,D2,L1,V0,M1} { relation( empty_set ) }.
% 0.44/1.07 (359) {G0,W2,D2,L1,V0,M1} { relation_empty_yielding( empty_set ) }.
% 0.44/1.07 (360) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 0.44/1.07 (361) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 0.44/1.07 (362) {G0,W2,D2,L1,V0,M1} { relation( empty_set ) }.
% 0.44/1.07 (363) {G0,W7,D3,L3,V1,M3} { empty( X ), ! relation( X ), ! empty(
% 0.44/1.07 relation_dom( X ) ) }.
% 0.44/1.07 (364) {G0,W5,D3,L2,V1,M2} { ! empty( X ), empty( relation_dom( X ) ) }.
% 0.44/1.07 (365) {G0,W5,D3,L2,V1,M2} { ! empty( X ), relation( relation_dom( X ) )
% 0.44/1.07 }.
% 0.44/1.07 (366) {G0,W2,D2,L1,V0,M1} { empty( skol8 ) }.
% 0.44/1.07 (367) {G0,W2,D2,L1,V0,M1} { relation( skol8 ) }.
% 0.44/1.07 (368) {G0,W2,D2,L1,V0,M1} { empty( skol9 ) }.
% 0.44/1.07 (369) {G0,W2,D2,L1,V0,M1} { ! empty( skol10 ) }.
% 0.44/1.07 (370) {G0,W2,D2,L1,V0,M1} { relation( skol10 ) }.
% 0.44/1.07 (371) {G0,W2,D2,L1,V0,M1} { ! empty( skol11 ) }.
% 0.44/1.07 (372) {G0,W2,D2,L1,V0,M1} { relation( skol12 ) }.
% 0.44/1.07 (373) {G0,W2,D2,L1,V0,M1} { relation_empty_yielding( skol12 ) }.
% 0.44/1.07 (374) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), element( X, Y ) }.
% 0.44/1.07 (375) {G0,W8,D2,L3,V2,M3} { ! element( X, Y ), empty( Y ), in( X, Y ) }.
% 0.44/1.07 (376) {G0,W5,D2,L2,V1,M2} { ! empty( X ), X = empty_set }.
% 0.44/1.07 (377) {G0,W5,D2,L2,V2,M2} { ! in( X, Y ), ! empty( Y ) }.
% 0.44/1.07 (378) {G0,W7,D2,L3,V2,M3} { ! empty( X ), X = Y, ! empty( Y ) }.
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 Total Proof:
% 0.44/1.07
% 0.44/1.07 subsumption: (0) {G0,W12,D3,L4,V2,M4} I { ! relation( X ), ! function( X )
% 0.44/1.07 , ! relation_dom( X ) ==> skol1, in( skol13( Y ), skol1 ) }.
% 0.44/1.07 parent0: (327) {G0,W12,D3,L4,V2,M4} { ! relation( X ), ! function( X ), !
% 0.44/1.07 relation_dom( X ) = skol1, in( skol13( Y ), skol1 ) }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := X
% 0.44/1.07 Y := Y
% 0.44/1.07 end
% 0.44/1.07 permutation0:
% 0.44/1.07 0 ==> 0
% 0.44/1.07 1 ==> 1
% 0.44/1.07 2 ==> 2
% 0.44/1.07 3 ==> 3
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 subsumption: (1) {G0,W16,D4,L4,V1,M4} I { ! relation( X ), ! function( X )
% 0.44/1.07 , ! relation_dom( X ) ==> skol1, ! apply( X, skol13( X ) ) ==> singleton
% 0.44/1.07 ( skol13( X ) ) }.
% 0.44/1.07 parent0: (328) {G0,W16,D4,L4,V1,M4} { ! relation( X ), ! function( X ), !
% 0.44/1.07 relation_dom( X ) = skol1, ! apply( X, skol13( X ) ) = singleton( skol13
% 0.44/1.07 ( X ) ) }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := X
% 0.44/1.07 end
% 0.44/1.07 permutation0:
% 0.44/1.07 0 ==> 0
% 0.44/1.07 1 ==> 1
% 0.44/1.07 2 ==> 2
% 0.44/1.07 3 ==> 3
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 subsumption: (6) {G0,W5,D3,L2,V2,M2} I { alpha1( X ), alpha2( skol3( Y ) )
% 0.44/1.07 }.
% 0.44/1.07 parent0: (335) {G0,W5,D3,L2,V2,M2} { alpha1( X ), alpha2( skol3( Y ) ) }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := X
% 0.44/1.07 Y := Y
% 0.44/1.07 end
% 0.44/1.07 permutation0:
% 0.44/1.07 0 ==> 0
% 0.44/1.07 1 ==> 1
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 subsumption: (7) {G0,W7,D4,L2,V1,M2} I { alpha1( X ), relation_dom( skol3(
% 0.44/1.07 X ) ) ==> X }.
% 0.44/1.07 parent0: (336) {G0,W7,D4,L2,V1,M2} { alpha1( X ), relation_dom( skol3( X )
% 0.44/1.07 ) = X }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := X
% 0.44/1.07 end
% 0.44/1.07 permutation0:
% 0.44/1.07 0 ==> 0
% 0.44/1.07 1 ==> 1
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 subsumption: (8) {G0,W12,D4,L3,V2,M3} I { alpha1( X ), ! in( Y, X ), apply
% 0.44/1.07 ( skol3( X ), Y ) ==> singleton( Y ) }.
% 0.44/1.07 parent0: (337) {G0,W12,D4,L3,V2,M3} { alpha1( X ), ! in( Y, X ), apply(
% 0.44/1.07 skol3( X ), Y ) = singleton( Y ) }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := X
% 0.44/1.07 Y := Y
% 0.44/1.07 end
% 0.44/1.07 permutation0:
% 0.44/1.07 0 ==> 0
% 0.44/1.07 1 ==> 1
% 0.44/1.07 2 ==> 2
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 subsumption: (9) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), relation( X ) }.
% 0.44/1.07 parent0: (338) {G0,W4,D2,L2,V1,M2} { ! alpha2( X ), relation( X ) }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := X
% 0.44/1.07 end
% 0.44/1.07 permutation0:
% 0.44/1.07 0 ==> 0
% 0.44/1.07 1 ==> 1
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 subsumption: (10) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), function( X ) }.
% 0.44/1.07 parent0: (339) {G0,W4,D2,L2,V1,M2} { ! alpha2( X ), function( X ) }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := X
% 0.44/1.07 end
% 0.44/1.07 permutation0:
% 0.44/1.07 0 ==> 0
% 0.44/1.07 1 ==> 1
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 subsumption: (12) {G0,W9,D4,L3,V3,M3} I { ! alpha1( X ), alpha3( X ), ! Z =
% 0.44/1.07 singleton( skol4( Y ) ) }.
% 0.44/1.07 parent0: (341) {G0,W9,D4,L3,V3,M3} { ! alpha1( X ), alpha3( X ), ! Z =
% 0.44/1.07 singleton( skol4( Y ) ) }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := X
% 0.44/1.07 Y := Y
% 0.44/1.07 Z := Z
% 0.44/1.07 end
% 0.44/1.07 permutation0:
% 0.44/1.07 0 ==> 0
% 0.44/1.07 1 ==> 1
% 0.44/1.07 2 ==> 2
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 subsumption: (16) {G0,W8,D3,L2,V1,M2} I { ! alpha3( X ), alpha4( X, skol5(
% 0.44/1.07 X ), skol15( X ) ) }.
% 0.44/1.07 parent0: (345) {G0,W8,D3,L2,V1,M2} { ! alpha3( X ), alpha4( X, skol5( X )
% 0.44/1.07 , skol15( X ) ) }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := X
% 0.44/1.07 end
% 0.44/1.07 permutation0:
% 0.44/1.07 0 ==> 0
% 0.44/1.07 1 ==> 1
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 eqswap: (442) {G0,W7,D3,L2,V1,M2} { ! skol15( X ) = skol5( X ), ! alpha3(
% 0.44/1.07 X ) }.
% 0.44/1.07 parent0[1]: (346) {G0,W7,D3,L2,V1,M2} { ! alpha3( X ), ! skol5( X ) =
% 0.44/1.07 skol15( X ) }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := X
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 subsumption: (17) {G0,W7,D3,L2,V1,M2} I { ! alpha3( X ), ! skol15( X ) ==>
% 0.44/1.07 skol5( X ) }.
% 0.44/1.07 parent0: (442) {G0,W7,D3,L2,V1,M2} { ! skol15( X ) = skol5( X ), ! alpha3
% 0.44/1.07 ( X ) }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := X
% 0.44/1.07 end
% 0.44/1.07 permutation0:
% 0.44/1.07 0 ==> 1
% 0.44/1.07 1 ==> 0
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 eqswap: (454) {G0,W11,D4,L2,V5,M2} { singleton( skol6( Y, Z, X ) ) = X, !
% 0.44/1.07 alpha4( T, U, X ) }.
% 0.44/1.07 parent0[1]: (348) {G0,W11,D4,L2,V5,M2} { ! alpha4( X, Y, Z ), Z =
% 0.44/1.07 singleton( skol6( T, U, Z ) ) }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := T
% 0.44/1.07 Y := U
% 0.44/1.07 Z := X
% 0.44/1.07 T := Y
% 0.44/1.07 U := Z
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 subsumption: (19) {G0,W11,D4,L2,V5,M2} I { ! alpha4( X, Y, Z ), singleton(
% 0.44/1.07 skol6( T, U, Z ) ) ==> Z }.
% 0.44/1.07 parent0: (454) {G0,W11,D4,L2,V5,M2} { singleton( skol6( Y, Z, X ) ) = X, !
% 0.44/1.07 alpha4( T, U, X ) }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := Z
% 0.44/1.07 Y := T
% 0.44/1.07 Z := U
% 0.44/1.07 T := X
% 0.44/1.07 U := Y
% 0.44/1.07 end
% 0.44/1.07 permutation0:
% 0.44/1.07 0 ==> 1
% 0.44/1.07 1 ==> 0
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 eqswap: (467) {G0,W11,D4,L2,V4,M2} { singleton( skol6( Y, X, Z ) ) = X, !
% 0.44/1.07 alpha4( T, X, Z ) }.
% 0.44/1.07 parent0[1]: (349) {G0,W11,D4,L2,V4,M2} { ! alpha4( X, Y, Z ), Y =
% 0.44/1.07 singleton( skol6( T, Y, Z ) ) }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := T
% 0.44/1.07 Y := X
% 0.44/1.07 Z := Z
% 0.44/1.07 T := Y
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 subsumption: (20) {G0,W11,D4,L2,V4,M2} I { ! alpha4( X, Y, Z ), singleton(
% 0.44/1.07 skol6( T, Y, Z ) ) ==> Y }.
% 0.44/1.07 parent0: (467) {G0,W11,D4,L2,V4,M2} { singleton( skol6( Y, X, Z ) ) = X, !
% 0.44/1.07 alpha4( T, X, Z ) }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := Y
% 0.44/1.07 Y := T
% 0.44/1.07 Z := Z
% 0.44/1.07 T := X
% 0.44/1.07 end
% 0.44/1.07 permutation0:
% 0.44/1.07 0 ==> 1
% 0.44/1.07 1 ==> 0
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 eqswap: (468) {G0,W9,D4,L3,V3,M3} { ! singleton( skol4( Y ) ) = X, !
% 0.44/1.07 alpha1( Z ), alpha3( Z ) }.
% 0.44/1.07 parent0[2]: (12) {G0,W9,D4,L3,V3,M3} I { ! alpha1( X ), alpha3( X ), ! Z =
% 0.44/1.07 singleton( skol4( Y ) ) }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := Z
% 0.44/1.07 Y := Y
% 0.44/1.07 Z := X
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 eqrefl: (469) {G0,W4,D2,L2,V1,M2} { ! alpha1( Y ), alpha3( Y ) }.
% 0.44/1.07 parent0[0]: (468) {G0,W9,D4,L3,V3,M3} { ! singleton( skol4( Y ) ) = X, !
% 0.44/1.07 alpha1( Z ), alpha3( Z ) }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := singleton( skol4( X ) )
% 0.44/1.07 Y := X
% 0.44/1.07 Z := Y
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 subsumption: (46) {G1,W4,D2,L2,V1,M2} Q(12) { ! alpha1( X ), alpha3( X )
% 0.44/1.07 }.
% 0.44/1.07 parent0: (469) {G0,W4,D2,L2,V1,M2} { ! alpha1( Y ), alpha3( Y ) }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := Y
% 0.44/1.07 Y := X
% 0.44/1.07 end
% 0.44/1.07 permutation0:
% 0.44/1.07 0 ==> 0
% 0.44/1.07 1 ==> 1
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 resolution: (470) {G1,W5,D3,L2,V2,M2} { function( skol3( X ) ), alpha1( Y
% 0.44/1.07 ) }.
% 0.44/1.07 parent0[0]: (10) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), function( X ) }.
% 0.44/1.07 parent1[1]: (6) {G0,W5,D3,L2,V2,M2} I { alpha1( X ), alpha2( skol3( Y ) )
% 0.44/1.07 }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := skol3( X )
% 0.44/1.07 end
% 0.44/1.07 substitution1:
% 0.44/1.07 X := Y
% 0.44/1.07 Y := X
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 subsumption: (82) {G1,W5,D3,L2,V2,M2} R(10,6) { function( skol3( X ) ),
% 0.44/1.07 alpha1( Y ) }.
% 0.44/1.07 parent0: (470) {G1,W5,D3,L2,V2,M2} { function( skol3( X ) ), alpha1( Y )
% 0.44/1.07 }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := X
% 0.44/1.07 Y := Y
% 0.44/1.07 end
% 0.44/1.07 permutation0:
% 0.44/1.07 0 ==> 0
% 0.44/1.07 1 ==> 1
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 resolution: (471) {G1,W5,D3,L2,V2,M2} { relation( skol3( X ) ), alpha1( Y
% 0.44/1.07 ) }.
% 0.44/1.07 parent0[0]: (9) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), relation( X ) }.
% 0.44/1.07 parent1[1]: (6) {G0,W5,D3,L2,V2,M2} I { alpha1( X ), alpha2( skol3( Y ) )
% 0.44/1.07 }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := skol3( X )
% 0.44/1.07 end
% 0.44/1.07 substitution1:
% 0.44/1.07 X := Y
% 0.44/1.07 Y := X
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 subsumption: (85) {G1,W5,D3,L2,V2,M2} R(9,6) { relation( skol3( X ) ),
% 0.44/1.07 alpha1( Y ) }.
% 0.44/1.07 parent0: (471) {G1,W5,D3,L2,V2,M2} { relation( skol3( X ) ), alpha1( Y )
% 0.44/1.07 }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := X
% 0.44/1.07 Y := Y
% 0.44/1.07 end
% 0.44/1.07 permutation0:
% 0.44/1.07 0 ==> 0
% 0.44/1.07 1 ==> 1
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 resolution: (472) {G2,W5,D3,L2,V2,M2} { alpha3( X ), relation( skol3( Y )
% 0.44/1.07 ) }.
% 0.44/1.07 parent0[0]: (46) {G1,W4,D2,L2,V1,M2} Q(12) { ! alpha1( X ), alpha3( X ) }.
% 0.44/1.07 parent1[1]: (85) {G1,W5,D3,L2,V2,M2} R(9,6) { relation( skol3( X ) ),
% 0.44/1.07 alpha1( Y ) }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := X
% 0.44/1.07 end
% 0.44/1.07 substitution1:
% 0.44/1.07 X := Y
% 0.44/1.07 Y := X
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 subsumption: (116) {G2,W5,D3,L2,V2,M2} R(85,46) { relation( skol3( X ) ),
% 0.44/1.07 alpha3( Y ) }.
% 0.44/1.07 parent0: (472) {G2,W5,D3,L2,V2,M2} { alpha3( X ), relation( skol3( Y ) )
% 0.44/1.07 }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := Y
% 0.44/1.07 Y := X
% 0.44/1.07 end
% 0.44/1.07 permutation0:
% 0.44/1.07 0 ==> 1
% 0.44/1.07 1 ==> 0
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 resolution: (473) {G2,W5,D3,L2,V2,M2} { alpha3( X ), function( skol3( Y )
% 0.44/1.07 ) }.
% 0.44/1.07 parent0[0]: (46) {G1,W4,D2,L2,V1,M2} Q(12) { ! alpha1( X ), alpha3( X ) }.
% 0.44/1.07 parent1[1]: (82) {G1,W5,D3,L2,V2,M2} R(10,6) { function( skol3( X ) ),
% 0.44/1.07 alpha1( Y ) }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := X
% 0.44/1.07 end
% 0.44/1.07 substitution1:
% 0.44/1.07 X := Y
% 0.44/1.07 Y := X
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 subsumption: (119) {G2,W5,D3,L2,V2,M2} R(82,46) { function( skol3( X ) ),
% 0.44/1.07 alpha3( Y ) }.
% 0.44/1.07 parent0: (473) {G2,W5,D3,L2,V2,M2} { alpha3( X ), function( skol3( Y ) )
% 0.44/1.07 }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := Y
% 0.44/1.07 Y := X
% 0.44/1.07 end
% 0.44/1.07 permutation0:
% 0.44/1.07 0 ==> 1
% 0.44/1.07 1 ==> 0
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 eqswap: (474) {G0,W11,D4,L2,V5,M2} { Z ==> singleton( skol6( X, Y, Z ) ),
% 0.44/1.07 ! alpha4( T, U, Z ) }.
% 0.44/1.07 parent0[1]: (19) {G0,W11,D4,L2,V5,M2} I { ! alpha4( X, Y, Z ), singleton(
% 0.44/1.07 skol6( T, U, Z ) ) ==> Z }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := T
% 0.44/1.07 Y := U
% 0.44/1.07 Z := Z
% 0.44/1.07 T := X
% 0.44/1.07 U := Y
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 resolution: (475) {G1,W11,D5,L2,V3,M2} { skol15( X ) ==> singleton( skol6
% 0.44/1.07 ( Y, Z, skol15( X ) ) ), ! alpha3( X ) }.
% 0.44/1.07 parent0[1]: (474) {G0,W11,D4,L2,V5,M2} { Z ==> singleton( skol6( X, Y, Z )
% 0.44/1.07 ), ! alpha4( T, U, Z ) }.
% 0.44/1.07 parent1[1]: (16) {G0,W8,D3,L2,V1,M2} I { ! alpha3( X ), alpha4( X, skol5( X
% 0.44/1.07 ), skol15( X ) ) }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := Y
% 0.44/1.07 Y := Z
% 0.44/1.07 Z := skol15( X )
% 0.44/1.07 T := X
% 0.44/1.07 U := skol5( X )
% 0.44/1.07 end
% 0.44/1.07 substitution1:
% 0.44/1.07 X := X
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 eqswap: (476) {G1,W11,D5,L2,V3,M2} { singleton( skol6( Y, Z, skol15( X ) )
% 0.44/1.07 ) ==> skol15( X ), ! alpha3( X ) }.
% 0.44/1.07 parent0[0]: (475) {G1,W11,D5,L2,V3,M2} { skol15( X ) ==> singleton( skol6
% 0.44/1.07 ( Y, Z, skol15( X ) ) ), ! alpha3( X ) }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := X
% 0.44/1.07 Y := Y
% 0.44/1.07 Z := Z
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 subsumption: (227) {G1,W11,D5,L2,V3,M2} R(19,16) { singleton( skol6( X, Y,
% 0.44/1.07 skol15( Z ) ) ) ==> skol15( Z ), ! alpha3( Z ) }.
% 0.44/1.07 parent0: (476) {G1,W11,D5,L2,V3,M2} { singleton( skol6( Y, Z, skol15( X )
% 0.44/1.07 ) ) ==> skol15( X ), ! alpha3( X ) }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := Z
% 0.44/1.07 Y := X
% 0.44/1.07 Z := Y
% 0.44/1.07 end
% 0.44/1.07 permutation0:
% 0.44/1.07 0 ==> 0
% 0.44/1.07 1 ==> 1
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 eqswap: (477) {G0,W11,D4,L2,V4,M2} { Y ==> singleton( skol6( X, Y, Z ) ),
% 0.44/1.07 ! alpha4( T, Y, Z ) }.
% 0.44/1.07 parent0[1]: (20) {G0,W11,D4,L2,V4,M2} I { ! alpha4( X, Y, Z ), singleton(
% 0.44/1.07 skol6( T, Y, Z ) ) ==> Y }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := T
% 0.44/1.07 Y := Y
% 0.44/1.07 Z := Z
% 0.44/1.07 T := X
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 eqswap: (479) {G0,W7,D3,L2,V1,M2} { ! skol5( X ) ==> skol15( X ), ! alpha3
% 0.44/1.07 ( X ) }.
% 0.44/1.07 parent0[1]: (17) {G0,W7,D3,L2,V1,M2} I { ! alpha3( X ), ! skol15( X ) ==>
% 0.44/1.07 skol5( X ) }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := X
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 resolution: (480) {G1,W12,D5,L2,V2,M2} { skol5( X ) ==> singleton( skol6(
% 0.44/1.07 Y, skol5( X ), skol15( X ) ) ), ! alpha3( X ) }.
% 0.44/1.07 parent0[1]: (477) {G0,W11,D4,L2,V4,M2} { Y ==> singleton( skol6( X, Y, Z )
% 0.44/1.07 ), ! alpha4( T, Y, Z ) }.
% 0.44/1.07 parent1[1]: (16) {G0,W8,D3,L2,V1,M2} I { ! alpha3( X ), alpha4( X, skol5( X
% 0.44/1.07 ), skol15( X ) ) }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := Y
% 0.44/1.07 Y := skol5( X )
% 0.44/1.07 Z := skol15( X )
% 0.44/1.07 T := X
% 0.44/1.07 end
% 0.44/1.07 substitution1:
% 0.44/1.07 X := X
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 paramod: (481) {G2,W9,D3,L3,V1,M3} { skol5( X ) ==> skol15( X ), ! alpha3
% 0.44/1.07 ( X ), ! alpha3( X ) }.
% 0.44/1.07 parent0[0]: (227) {G1,W11,D5,L2,V3,M2} R(19,16) { singleton( skol6( X, Y,
% 0.44/1.07 skol15( Z ) ) ) ==> skol15( Z ), ! alpha3( Z ) }.
% 0.44/1.07 parent1[0; 3]: (480) {G1,W12,D5,L2,V2,M2} { skol5( X ) ==> singleton(
% 0.44/1.07 skol6( Y, skol5( X ), skol15( X ) ) ), ! alpha3( X ) }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := Y
% 0.44/1.07 Y := skol5( X )
% 0.44/1.07 Z := X
% 0.44/1.07 end
% 0.44/1.07 substitution1:
% 0.44/1.07 X := X
% 0.44/1.07 Y := Y
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 factor: (482) {G2,W7,D3,L2,V1,M2} { skol5( X ) ==> skol15( X ), ! alpha3(
% 0.44/1.07 X ) }.
% 0.44/1.07 parent0[1, 2]: (481) {G2,W9,D3,L3,V1,M3} { skol5( X ) ==> skol15( X ), !
% 0.44/1.07 alpha3( X ), ! alpha3( X ) }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := X
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 resolution: (483) {G1,W4,D2,L2,V1,M2} { ! alpha3( X ), ! alpha3( X ) }.
% 0.44/1.07 parent0[0]: (479) {G0,W7,D3,L2,V1,M2} { ! skol5( X ) ==> skol15( X ), !
% 0.44/1.07 alpha3( X ) }.
% 0.44/1.07 parent1[0]: (482) {G2,W7,D3,L2,V1,M2} { skol5( X ) ==> skol15( X ), !
% 0.44/1.07 alpha3( X ) }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := X
% 0.44/1.07 end
% 0.44/1.07 substitution1:
% 0.44/1.07 X := X
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 factor: (484) {G1,W2,D2,L1,V1,M1} { ! alpha3( X ) }.
% 0.44/1.07 parent0[0, 1]: (483) {G1,W4,D2,L2,V1,M2} { ! alpha3( X ), ! alpha3( X )
% 0.44/1.07 }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := X
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 subsumption: (240) {G2,W2,D2,L1,V1,M1} R(20,16);d(227);r(17) { ! alpha3( Y
% 0.44/1.07 ) }.
% 0.44/1.07 parent0: (484) {G1,W2,D2,L1,V1,M1} { ! alpha3( X ) }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := Y
% 0.44/1.07 end
% 0.44/1.07 permutation0:
% 0.44/1.07 0 ==> 0
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 resolution: (485) {G3,W3,D3,L1,V1,M1} { function( skol3( Y ) ) }.
% 0.44/1.07 parent0[0]: (240) {G2,W2,D2,L1,V1,M1} R(20,16);d(227);r(17) { ! alpha3( Y )
% 0.44/1.07 }.
% 0.44/1.07 parent1[1]: (119) {G2,W5,D3,L2,V2,M2} R(82,46) { function( skol3( X ) ),
% 0.44/1.07 alpha3( Y ) }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := Z
% 0.44/1.07 Y := X
% 0.44/1.07 end
% 0.44/1.07 substitution1:
% 0.44/1.07 X := Y
% 0.44/1.07 Y := X
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 subsumption: (250) {G3,W3,D3,L1,V1,M1} R(240,119) { function( skol3( X ) )
% 0.44/1.07 }.
% 0.44/1.07 parent0: (485) {G3,W3,D3,L1,V1,M1} { function( skol3( Y ) ) }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := Y
% 0.44/1.07 Y := X
% 0.44/1.07 end
% 0.44/1.07 permutation0:
% 0.44/1.07 0 ==> 0
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 resolution: (486) {G3,W3,D3,L1,V1,M1} { relation( skol3( Y ) ) }.
% 0.44/1.07 parent0[0]: (240) {G2,W2,D2,L1,V1,M1} R(20,16);d(227);r(17) { ! alpha3( Y )
% 0.44/1.07 }.
% 0.44/1.07 parent1[1]: (116) {G2,W5,D3,L2,V2,M2} R(85,46) { relation( skol3( X ) ),
% 0.44/1.07 alpha3( Y ) }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := Z
% 0.44/1.07 Y := X
% 0.44/1.07 end
% 0.44/1.07 substitution1:
% 0.44/1.07 X := Y
% 0.44/1.07 Y := X
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 subsumption: (251) {G3,W3,D3,L1,V1,M1} R(240,116) { relation( skol3( X ) )
% 0.44/1.07 }.
% 0.44/1.07 parent0: (486) {G3,W3,D3,L1,V1,M1} { relation( skol3( Y ) ) }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := Y
% 0.44/1.07 Y := X
% 0.44/1.07 end
% 0.44/1.07 permutation0:
% 0.44/1.07 0 ==> 0
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 resolution: (487) {G2,W2,D2,L1,V1,M1} { ! alpha1( X ) }.
% 0.44/1.07 parent0[0]: (240) {G2,W2,D2,L1,V1,M1} R(20,16);d(227);r(17) { ! alpha3( Y )
% 0.44/1.07 }.
% 0.44/1.07 parent1[1]: (46) {G1,W4,D2,L2,V1,M2} Q(12) { ! alpha1( X ), alpha3( X ) }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := Y
% 0.44/1.07 Y := X
% 0.44/1.07 end
% 0.44/1.07 substitution1:
% 0.44/1.07 X := X
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 subsumption: (252) {G3,W2,D2,L1,V1,M1} R(240,46) { ! alpha1( X ) }.
% 0.44/1.07 parent0: (487) {G2,W2,D2,L1,V1,M1} { ! alpha1( X ) }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := X
% 0.44/1.07 end
% 0.44/1.07 permutation0:
% 0.44/1.07 0 ==> 0
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 eqswap: (488) {G0,W7,D4,L2,V1,M2} { X ==> relation_dom( skol3( X ) ),
% 0.44/1.08 alpha1( X ) }.
% 0.44/1.08 parent0[1]: (7) {G0,W7,D4,L2,V1,M2} I { alpha1( X ), relation_dom( skol3( X
% 0.44/1.08 ) ) ==> X }.
% 0.44/1.08 substitution0:
% 0.44/1.08 X := X
% 0.44/1.08 end
% 0.44/1.08
% 0.44/1.08 resolution: (489) {G1,W5,D4,L1,V1,M1} { X ==> relation_dom( skol3( X ) )
% 0.44/1.08 }.
% 0.44/1.08 parent0[0]: (252) {G3,W2,D2,L1,V1,M1} R(240,46) { ! alpha1( X ) }.
% 0.44/1.08 parent1[1]: (488) {G0,W7,D4,L2,V1,M2} { X ==> relation_dom( skol3( X ) ),
% 0.44/1.08 alpha1( X ) }.
% 0.44/1.08 substitution0:
% 0.44/1.08 X := X
% 0.44/1.08 end
% 0.44/1.08 substitution1:
% 0.44/1.08 X := X
% 0.44/1.08 end
% 0.44/1.08
% 0.44/1.08 eqswap: (490) {G1,W5,D4,L1,V1,M1} { relation_dom( skol3( X ) ) ==> X }.
% 0.44/1.08 parent0[0]: (489) {G1,W5,D4,L1,V1,M1} { X ==> relation_dom( skol3( X ) )
% 0.44/1.08 }.
% 0.44/1.08 substitution0:
% 0.44/1.08 X := X
% 0.44/1.08 end
% 0.44/1.08
% 0.44/1.08 subsumption: (255) {G4,W5,D4,L1,V1,M1} R(252,7) { relation_dom( skol3( X )
% 0.44/1.08 ) ==> X }.
% 0.44/1.08 parent0: (490) {G1,W5,D4,L1,V1,M1} { relation_dom( skol3( X ) ) ==> X }.
% 0.44/1.08 substitution0:
% 0.44/1.08 X := X
% 0.44/1.08 end
% 0.44/1.08 permutation0:
% 0.44/1.08 0 ==> 0
% 0.44/1.08 end
% 0.44/1.08
% 0.44/1.08 eqswap: (491) {G0,W12,D3,L4,V2,M4} { ! skol1 ==> relation_dom( X ), !
% 0.44/1.08 relation( X ), ! function( X ), in( skol13( Y ), skol1 ) }.
% 0.44/1.08 parent0[2]: (0) {G0,W12,D3,L4,V2,M4} I { ! relation( X ), ! function( X ),
% 0.44/1.08 ! relation_dom( X ) ==> skol1, in( skol13( Y ), skol1 ) }.
% 0.44/1.08 substitution0:
% 0.44/1.08 X := X
% 0.44/1.08 Y := Y
% 0.44/1.08 end
% 0.44/1.08
% 0.44/1.08 resolution: (493) {G1,W12,D4,L3,V2,M3} { ! skol1 ==> relation_dom( skol3(
% 0.44/1.08 X ) ), ! relation( skol3( X ) ), in( skol13( Y ), skol1 ) }.
% 0.44/1.08 parent0[2]: (491) {G0,W12,D3,L4,V2,M4} { ! skol1 ==> relation_dom( X ), !
% 0.44/1.08 relation( X ), ! function( X ), in( skol13( Y ), skol1 ) }.
% 0.44/1.08 parent1[0]: (250) {G3,W3,D3,L1,V1,M1} R(240,119) { function( skol3( X ) )
% 0.44/1.08 }.
% 0.44/1.08 substitution0:
% 0.44/1.08 X := skol3( X )
% 0.44/1.08 Y := Y
% 0.44/1.08 end
% 0.44/1.08 substitution1:
% 0.44/1.08 X := X
% 0.44/1.08 end
% 0.44/1.08
% 0.44/1.08 paramod: (494) {G2,W10,D3,L3,V2,M3} { ! skol1 ==> X, ! relation( skol3( X
% 0.44/1.08 ) ), in( skol13( Y ), skol1 ) }.
% 0.44/1.08 parent0[0]: (255) {G4,W5,D4,L1,V1,M1} R(252,7) { relation_dom( skol3( X ) )
% 0.44/1.08 ==> X }.
% 0.44/1.08 parent1[0; 3]: (493) {G1,W12,D4,L3,V2,M3} { ! skol1 ==> relation_dom(
% 0.44/1.08 skol3( X ) ), ! relation( skol3( X ) ), in( skol13( Y ), skol1 ) }.
% 0.44/1.08 substitution0:
% 0.44/1.08 X := X
% 0.44/1.08 end
% 0.44/1.08 substitution1:
% 0.44/1.08 X := X
% 0.44/1.08 Y := Y
% 0.44/1.08 end
% 0.44/1.08
% 0.44/1.08 resolution: (495) {G3,W7,D3,L2,V2,M2} { ! skol1 ==> X, in( skol13( Y ),
% 0.44/1.08 skol1 ) }.
% 0.44/1.08 parent0[1]: (494) {G2,W10,D3,L3,V2,M3} { ! skol1 ==> X, ! relation( skol3
% 0.44/1.08 ( X ) ), in( skol13( Y ), skol1 ) }.
% 0.44/1.08 parent1[0]: (251) {G3,W3,D3,L1,V1,M1} R(240,116) { relation( skol3( X ) )
% 0.44/1.08 }.
% 0.44/1.08 substitution0:
% 0.44/1.08 X := X
% 0.44/1.08 Y := Y
% 0.44/1.08 end
% 0.44/1.08 substitution1:
% 0.44/1.08 X := X
% 0.44/1.08 end
% 0.44/1.08
% 0.44/1.08 eqswap: (496) {G3,W7,D3,L2,V2,M2} { ! X ==> skol1, in( skol13( Y ), skol1
% 0.44/1.08 ) }.
% 0.44/1.08 parent0[0]: (495) {G3,W7,D3,L2,V2,M2} { ! skol1 ==> X, in( skol13( Y ),
% 0.44/1.08 skol1 ) }.
% 0.44/1.08 substitution0:
% 0.44/1.08 X := X
% 0.44/1.08 Y := Y
% 0.44/1.08 end
% 0.44/1.08
% 0.44/1.08 subsumption: (257) {G5,W7,D3,L2,V2,M2} R(250,0);d(255);r(251) { in( skol13
% 0.44/1.08 ( Y ), skol1 ), ! X = skol1 }.
% 0.44/1.08 parent0: (496) {G3,W7,D3,L2,V2,M2} { ! X ==> skol1, in( skol13( Y ), skol1
% 0.44/1.08 ) }.
% 0.44/1.08 substitution0:
% 0.44/1.08 X := X
% 0.44/1.08 Y := Y
% 0.44/1.08 end
% 0.44/1.08 permutation0:
% 0.44/1.08 0 ==> 1
% 0.44/1.08 1 ==> 0
% 0.44/1.08 end
% 0.44/1.08
% 0.44/1.08 eqswap: (497) {G5,W7,D3,L2,V2,M2} { ! skol1 = X, in( skol13( Y ), skol1 )
% 0.44/1.08 }.
% 0.44/1.08 parent0[1]: (257) {G5,W7,D3,L2,V2,M2} R(250,0);d(255);r(251) { in( skol13(
% 0.44/1.08 Y ), skol1 ), ! X = skol1 }.
% 0.44/1.08 substitution0:
% 0.44/1.08 X := X
% 0.44/1.08 Y := Y
% 0.44/1.08 end
% 0.44/1.08
% 0.44/1.08 eqrefl: (498) {G0,W4,D3,L1,V1,M1} { in( skol13( X ), skol1 ) }.
% 0.44/1.08 parent0[0]: (497) {G5,W7,D3,L2,V2,M2} { ! skol1 = X, in( skol13( Y ),
% 0.44/1.08 skol1 ) }.
% 0.44/1.08 substitution0:
% 0.44/1.08 X := skol1
% 0.44/1.08 Y := X
% 0.44/1.08 end
% 0.44/1.08
% 0.44/1.08 subsumption: (260) {G6,W4,D3,L1,V1,M1} Q(257) { in( skol13( X ), skol1 )
% 0.44/1.08 }.
% 0.44/1.08 parent0: (498) {G0,W4,D3,L1,V1,M1} { in( skol13( X ), skol1 ) }.
% 0.44/1.08 substitution0:
% 0.44/1.08 X := X
% 0.44/1.08 end
% 0.44/1.08 permutation0:
% 0.44/1.08 0 ==> 0
% 0.44/1.08 end
% 0.44/1.08
% 0.44/1.08 eqswap: (499) {G0,W12,D4,L3,V2,M3} { singleton( Y ) ==> apply( skol3( X )
% 0.44/1.08 , Y ), alpha1( X ), ! in( Y, X ) }.
% 0.44/1.08 parent0[2]: (8) {G0,W12,D4,L3,V2,M3} I { alpha1( X ), ! in( Y, X ), apply(
% 0.44/1.08 skol3( X ), Y ) ==> singleton( Y ) }.
% 0.44/1.08 substitution0:
% 0.44/1.08 X := X
% 0.44/1.08 Y := Y
% 0.44/1.08 end
% 0.44/1.08
% 0.44/1.08 resolution: (500) {G1,W11,D4,L2,V1,M2} { singleton( skol13( X ) ) ==>
% 0.44/1.08 apply( skol3( skol1 ), skol13( X ) ), alpha1( skol1 ) }.
% 0.44/1.08 parent0[2]: (499) {G0,W12,D4,L3,V2,M3} { singleton( Y ) ==> apply( skol3(
% 0.44/1.08 X ), Y ), alpha1( X ), ! in( Y, X ) }.
% 0.44/1.08 parent1[0]: (260) {G6,W4,D3,L1,V1,M1} Q(257) { in( skol13( X ), skol1 ) }.
% 0.44/1.08 substitution0:
% 0.44/1.08 X := skol1
% 0.44/1.08 Y := skol13( X )
% 0.44/1.08 end
% 0.44/1.08 substitution1:
% 0.44/1.08 X := X
% 0.44/1.08 end
% 0.44/1.08
% 0.44/1.08 resolution: (501) {G2,W9,D4,L1,V1,M1} { singleton( skol13( X ) ) ==> apply
% 0.44/1.08 ( skol3( skol1 ), skol13( X ) ) }.
% 0.44/1.08 parent0[0]: (252) {G3,W2,D2,L1,V1,M1} R(240,46) { ! alpha1( X ) }.
% 0.44/1.08 parent1[1]: (500) {G1,W11,D4,L2,V1,M2} { singleton( skol13( X ) ) ==>
% 0.44/1.08 apply( skol3( skol1 ), skol13( X ) ), alpha1( skol1 ) }.
% 0.44/1.08 substitution0:
% 0.44/1.08 X := skol1
% 0.44/1.08 end
% 0.44/1.08 substitution1:
% 0.44/1.08 X := X
% 0.44/1.08 end
% 0.44/1.08
% 0.44/1.08 eqswap: (502) {G2,W9,D4,L1,V1,M1} { apply( skol3( skol1 ), skol13( X ) )
% 0.44/1.08 ==> singleton( skol13( X ) ) }.
% 0.44/1.08 parent0[0]: (501) {G2,W9,D4,L1,V1,M1} { singleton( skol13( X ) ) ==> apply
% 0.44/1.08 ( skol3( skol1 ), skol13( X ) ) }.
% 0.44/1.08 substitution0:
% 0.44/1.08 X := X
% 0.44/1.08 end
% 0.44/1.08
% 0.44/1.08 subsumption: (275) {G7,W9,D4,L1,V1,M1} R(260,8);r(252) { apply( skol3(
% 0.44/1.08 skol1 ), skol13( X ) ) ==> singleton( skol13( X ) ) }.
% 0.44/1.08 parent0: (502) {G2,W9,D4,L1,V1,M1} { apply( skol3( skol1 ), skol13( X ) )
% 0.44/1.08 ==> singleton( skol13( X ) ) }.
% 0.44/1.08 substitution0:
% 0.44/1.08 X := X
% 0.44/1.08 end
% 0.44/1.08 permutation0:
% 0.44/1.08 0 ==> 0
% 0.44/1.08 end
% 0.44/1.08
% 0.44/1.08 eqswap: (503) {G4,W5,D4,L1,V1,M1} { X ==> relation_dom( skol3( X ) ) }.
% 0.44/1.08 parent0[0]: (255) {G4,W5,D4,L1,V1,M1} R(252,7) { relation_dom( skol3( X ) )
% 0.44/1.08 ==> X }.
% 0.44/1.08 substitution0:
% 0.44/1.08 X := X
% 0.44/1.08 end
% 0.44/1.08
% 0.44/1.08 eqswap: (504) {G0,W16,D4,L4,V1,M4} { ! skol1 ==> relation_dom( X ), !
% 0.44/1.08 relation( X ), ! function( X ), ! apply( X, skol13( X ) ) ==> singleton(
% 0.44/1.08 skol13( X ) ) }.
% 0.44/1.08 parent0[2]: (1) {G0,W16,D4,L4,V1,M4} I { ! relation( X ), ! function( X ),
% 0.44/1.08 ! relation_dom( X ) ==> skol1, ! apply( X, skol13( X ) ) ==> singleton(
% 0.44/1.08 skol13( X ) ) }.
% 0.44/1.08 substitution0:
% 0.44/1.08 X := X
% 0.44/1.08 end
% 0.44/1.08
% 0.44/1.08 resolution: (508) {G1,W17,D5,L3,V0,M3} { ! relation( skol3( skol1 ) ), !
% 0.44/1.08 function( skol3( skol1 ) ), ! apply( skol3( skol1 ), skol13( skol3( skol1
% 0.44/1.08 ) ) ) ==> singleton( skol13( skol3( skol1 ) ) ) }.
% 0.44/1.08 parent0[0]: (504) {G0,W16,D4,L4,V1,M4} { ! skol1 ==> relation_dom( X ), !
% 0.44/1.08 relation( X ), ! function( X ), ! apply( X, skol13( X ) ) ==> singleton(
% 0.44/1.08 skol13( X ) ) }.
% 0.44/1.08 parent1[0]: (503) {G4,W5,D4,L1,V1,M1} { X ==> relation_dom( skol3( X ) )
% 0.44/1.08 }.
% 0.44/1.08 substitution0:
% 0.44/1.08 X := skol3( skol1 )
% 0.44/1.08 end
% 0.44/1.08 substitution1:
% 0.44/1.08 X := skol1
% 0.44/1.08 end
% 0.44/1.08
% 0.44/1.08 paramod: (509) {G2,W15,D5,L3,V0,M3} { ! singleton( skol13( skol3( skol1 )
% 0.44/1.08 ) ) ==> singleton( skol13( skol3( skol1 ) ) ), ! relation( skol3( skol1
% 0.44/1.08 ) ), ! function( skol3( skol1 ) ) }.
% 0.44/1.08 parent0[0]: (275) {G7,W9,D4,L1,V1,M1} R(260,8);r(252) { apply( skol3( skol1
% 0.44/1.08 ), skol13( X ) ) ==> singleton( skol13( X ) ) }.
% 0.44/1.08 parent1[2; 2]: (508) {G1,W17,D5,L3,V0,M3} { ! relation( skol3( skol1 ) ),
% 0.44/1.08 ! function( skol3( skol1 ) ), ! apply( skol3( skol1 ), skol13( skol3(
% 0.44/1.08 skol1 ) ) ) ==> singleton( skol13( skol3( skol1 ) ) ) }.
% 0.44/1.08 substitution0:
% 0.44/1.08 X := skol3( skol1 )
% 0.44/1.08 end
% 0.44/1.08 substitution1:
% 0.44/1.08 end
% 0.44/1.08
% 0.44/1.08 eqrefl: (510) {G0,W6,D3,L2,V0,M2} { ! relation( skol3( skol1 ) ), !
% 0.44/1.08 function( skol3( skol1 ) ) }.
% 0.44/1.08 parent0[0]: (509) {G2,W15,D5,L3,V0,M3} { ! singleton( skol13( skol3( skol1
% 0.44/1.08 ) ) ) ==> singleton( skol13( skol3( skol1 ) ) ), ! relation( skol3(
% 0.44/1.08 skol1 ) ), ! function( skol3( skol1 ) ) }.
% 0.44/1.08 substitution0:
% 0.44/1.08 end
% 0.44/1.08
% 0.44/1.08 resolution: (511) {G1,W3,D3,L1,V0,M1} { ! function( skol3( skol1 ) ) }.
% 0.44/1.08 parent0[0]: (510) {G0,W6,D3,L2,V0,M2} { ! relation( skol3( skol1 ) ), !
% 0.44/1.08 function( skol3( skol1 ) ) }.
% 0.44/1.08 parent1[0]: (251) {G3,W3,D3,L1,V1,M1} R(240,116) { relation( skol3( X ) )
% 0.44/1.08 }.
% 0.44/1.08 substitution0:
% 0.44/1.08 end
% 0.44/1.08 substitution1:
% 0.44/1.08 X := skol1
% 0.44/1.08 end
% 0.44/1.08
% 0.44/1.08 subsumption: (319) {G8,W3,D3,L1,V0,M1} R(255,1);d(275);q;r(251) { !
% 0.44/1.08 function( skol3( skol1 ) ) }.
% 0.44/1.08 parent0: (511) {G1,W3,D3,L1,V0,M1} { ! function( skol3( skol1 ) ) }.
% 0.44/1.08 substitution0:
% 0.44/1.08 end
% 0.44/1.08 permutation0:
% 0.44/1.08 0 ==> 0
% 0.44/1.08 end
% 0.44/1.08
% 0.44/1.08 resolution: (512) {G4,W0,D0,L0,V0,M0} { }.
% 0.44/1.08 parent0[0]: (319) {G8,W3,D3,L1,V0,M1} R(255,1);d(275);q;r(251) { ! function
% 0.44/1.08 ( skol3( skol1 ) ) }.
% 0.44/1.08 parent1[0]: (250) {G3,W3,D3,L1,V1,M1} R(240,119) { function( skol3( X ) )
% 0.44/1.08 }.
% 0.44/1.08 substitution0:
% 0.44/1.08 end
% 0.44/1.08 substitution1:
% 0.44/1.08 X := skol1
% 0.44/1.08 end
% 0.44/1.08
% 0.44/1.08 subsumption: (325) {G9,W0,D0,L0,V0,M0} S(319);r(250) { }.
% 0.44/1.08 parent0: (512) {G4,W0,D0,L0,V0,M0} { }.
% 0.44/1.08 substitution0:
% 0.44/1.08 end
% 0.44/1.08 permutation0:
% 0.44/1.08 end
% 0.44/1.08
% 0.44/1.08 Proof check complete!
% 0.44/1.08
% 0.44/1.08 Memory use:
% 0.44/1.08
% 0.44/1.08 space for terms: 4387
% 0.44/1.08 space for clauses: 15656
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 clauses generated: 633
% 0.44/1.08 clauses kept: 326
% 0.44/1.08 clauses selected: 80
% 0.44/1.08 clauses deleted: 10
% 0.44/1.08 clauses inuse deleted: 0
% 0.44/1.08
% 0.44/1.08 subsentry: 1268
% 0.44/1.08 literals s-matched: 730
% 0.44/1.08 literals matched: 722
% 0.44/1.08 full subsumption: 67
% 0.44/1.08
% 0.44/1.08 checksum: -514830304
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 Bliksem ended
%------------------------------------------------------------------------------