%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SEU261+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 07:11:57 EDT 2022
% Result : Theorem 0.71s 1.06s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU261+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sun Jun 19 16:13:49 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.71/1.06 *** allocated 10000 integers for termspace/termends
% 0.71/1.06 *** allocated 10000 integers for clauses
% 0.71/1.06 *** allocated 10000 integers for justifications
% 0.71/1.06 Bliksem 1.12
% 0.71/1.06
% 0.71/1.06
% 0.71/1.06 Automatic Strategy Selection
% 0.71/1.06
% 0.71/1.06
% 0.71/1.06 Clauses:
% 0.71/1.06
% 0.71/1.06 { ! relation( X ), ! well_ordering( X ), reflexive( X ) }.
% 0.71/1.06 { ! relation( X ), ! well_ordering( X ), alpha1( X ) }.
% 0.71/1.06 { ! relation( X ), ! reflexive( X ), ! alpha1( X ), well_ordering( X ) }.
% 0.71/1.06 { ! alpha1( X ), transitive( X ) }.
% 0.71/1.06 { ! alpha1( X ), alpha2( X ) }.
% 0.71/1.06 { ! transitive( X ), ! alpha2( X ), alpha1( X ) }.
% 0.71/1.06 { ! alpha2( X ), antisymmetric( X ) }.
% 0.71/1.06 { ! alpha2( X ), alpha3( X ) }.
% 0.71/1.06 { ! antisymmetric( X ), ! alpha3( X ), alpha2( X ) }.
% 0.71/1.06 { ! alpha3( X ), connected( X ) }.
% 0.71/1.06 { ! alpha3( X ), well_founded_relation( X ) }.
% 0.71/1.06 { ! connected( X ), ! well_founded_relation( X ), alpha3( X ) }.
% 0.71/1.06 { relation( skol1 ) }.
% 0.71/1.06 { function( skol1 ) }.
% 0.71/1.06 { ! relation( X ), ! relation( Y ), ! relation( Z ), ! function( Z ), !
% 0.71/1.06 relation_isomorphism( X, Y, Z ), ! reflexive( X ), reflexive( Y ) }.
% 0.71/1.06 { ! relation( X ), ! relation( Y ), ! relation( Z ), ! function( Z ), !
% 0.71/1.06 relation_isomorphism( X, Y, Z ), ! transitive( X ), transitive( Y ) }.
% 0.71/1.06 { ! relation( X ), ! relation( Y ), ! relation( Z ), ! function( Z ), !
% 0.71/1.06 relation_isomorphism( X, Y, Z ), ! connected( X ), connected( Y ) }.
% 0.71/1.06 { ! relation( X ), ! relation( Y ), ! relation( Z ), ! function( Z ), !
% 0.71/1.06 relation_isomorphism( X, Y, Z ), ! antisymmetric( X ), antisymmetric( Y )
% 0.71/1.06 }.
% 0.71/1.06 { ! relation( X ), ! relation( Y ), ! relation( Z ), ! function( Z ), !
% 0.71/1.06 relation_isomorphism( X, Y, Z ), ! well_founded_relation( X ),
% 0.71/1.06 well_founded_relation( Y ) }.
% 0.71/1.06 { relation( skol2 ) }.
% 0.71/1.06 { relation( skol3 ) }.
% 0.71/1.06 { relation( skol4 ) }.
% 0.71/1.06 { function( skol4 ) }.
% 0.71/1.06 { well_ordering( skol2 ) }.
% 0.71/1.06 { relation_isomorphism( skol2, skol3, skol4 ) }.
% 0.71/1.06 { ! well_ordering( skol3 ) }.
% 0.71/1.06
% 0.71/1.06 percentage equality = 0.000000, percentage horn = 1.000000
% 0.71/1.06 This is a near-Horn, non-equality problem
% 0.71/1.06
% 0.71/1.06
% 0.71/1.06 Options Used:
% 0.71/1.06
% 0.71/1.06 useres = 1
% 0.71/1.06 useparamod = 0
% 0.71/1.06 useeqrefl = 0
% 0.71/1.06 useeqfact = 0
% 0.71/1.06 usefactor = 1
% 0.71/1.06 usesimpsplitting = 0
% 0.71/1.06 usesimpdemod = 0
% 0.71/1.06 usesimpres = 4
% 0.71/1.06
% 0.71/1.06 resimpinuse = 1000
% 0.71/1.06 resimpclauses = 20000
% 0.71/1.06 substype = standard
% 0.71/1.06 backwardsubs = 1
% 0.71/1.06 selectoldest = 5
% 0.71/1.06
% 0.71/1.06 litorderings [0] = split
% 0.71/1.06 litorderings [1] = liftord
% 0.71/1.06
% 0.71/1.06 termordering = none
% 0.71/1.06
% 0.71/1.06 litapriori = 1
% 0.71/1.06 termapriori = 0
% 0.71/1.06 litaposteriori = 0
% 0.71/1.06 termaposteriori = 0
% 0.71/1.06 demodaposteriori = 0
% 0.71/1.06 ordereqreflfact = 0
% 0.71/1.06
% 0.71/1.06 litselect = negative
% 0.71/1.06
% 0.71/1.06 maxweight = 30000
% 0.71/1.06 maxdepth = 30000
% 0.71/1.06 maxlength = 115
% 0.71/1.06 maxnrvars = 195
% 0.71/1.06 excuselevel = 0
% 0.71/1.06 increasemaxweight = 0
% 0.71/1.06
% 0.71/1.06 maxselected = 10000000
% 0.71/1.06 maxnrclauses = 10000000
% 0.71/1.06
% 0.71/1.06 showgenerated = 0
% 0.71/1.06 showkept = 0
% 0.71/1.06 showselected = 0
% 0.71/1.06 showdeleted = 0
% 0.71/1.06 showresimp = 1
% 0.71/1.06 showstatus = 2000
% 0.71/1.06
% 0.71/1.06 prologoutput = 0
% 0.71/1.06 nrgoals = 5000000
% 0.71/1.06 totalproof = 1
% 0.71/1.06
% 0.71/1.06 Symbols occurring in the translation:
% 0.71/1.06
% 0.71/1.06 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.06 . [1, 2] (w:1, o:29, a:1, s:1, b:0),
% 0.71/1.06 ! [4, 1] (w:1, o:13, a:1, s:1, b:0),
% 0.71/1.06 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.06 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.06 relation [36, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.71/1.06 well_ordering [37, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.71/1.06 reflexive [38, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.71/1.06 transitive [39, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.71/1.06 antisymmetric [40, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.71/1.06 connected [41, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.71/1.06 well_founded_relation [42, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.71/1.06 function [43, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.71/1.06 relation_isomorphism [46, 3] (w:1, o:53, a:1, s:1, b:0),
% 0.71/1.06 alpha1 [47, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.71/1.06 alpha2 [48, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.71/1.06 alpha3 [49, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.71/1.06 skol1 [50, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.71/1.06 skol2 [51, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.71/1.06 skol3 [52, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.71/1.06 skol4 [53, 0] (w:1, o:12, a:1, s:1, b:0).
% 0.71/1.06
% 0.71/1.06
% 0.71/1.06 Starting Search:
% 0.71/1.06
% 0.71/1.06 *** allocated 15000 integers for clauses
% 0.71/1.06
% 0.71/1.06 Bliksems!, er is een bewijs:
% 0.71/1.06 % SZS status Theorem
% 0.71/1.06 % SZS output start Refutation
% 0.71/1.06
% 0.71/1.06 (0) {G0,W8,D2,L3,V1,M1} I { reflexive( X ), ! well_ordering( X ), !
% 0.71/1.06 relation( X ) }.
% 0.71/1.06 (1) {G0,W8,D2,L3,V1,M1} I { alpha1( X ), ! well_ordering( X ), ! relation(
% 0.71/1.06 X ) }.
% 0.71/1.06 (2) {G0,W11,D2,L4,V1,M1} I { ! alpha1( X ), ! reflexive( X ), well_ordering
% 0.71/1.06 ( X ), ! relation( X ) }.
% 0.71/1.06 (3) {G0,W5,D2,L2,V1,M1} I { transitive( X ), ! alpha1( X ) }.
% 0.71/1.06 (4) {G0,W5,D2,L2,V1,M1} I { alpha2( X ), ! alpha1( X ) }.
% 0.71/1.06 (5) {G0,W8,D2,L3,V1,M1} I { ! alpha2( X ), alpha1( X ), ! transitive( X )
% 0.71/1.06 }.
% 0.71/1.06 (6) {G0,W5,D2,L2,V1,M1} I { antisymmetric( X ), ! alpha2( X ) }.
% 0.71/1.06 (7) {G0,W5,D2,L2,V1,M1} I { alpha3( X ), ! alpha2( X ) }.
% 0.71/1.06 (8) {G0,W8,D2,L3,V1,M1} I { ! alpha3( X ), alpha2( X ), ! antisymmetric( X
% 0.71/1.06 ) }.
% 0.71/1.06 (9) {G0,W5,D2,L2,V1,M1} I { connected( X ), ! alpha3( X ) }.
% 0.71/1.06 (10) {G0,W5,D2,L2,V1,M1} I { well_founded_relation( X ), ! alpha3( X ) }.
% 0.71/1.06 (11) {G0,W8,D2,L3,V1,M1} I { alpha3( X ), ! well_founded_relation( X ), !
% 0.71/1.06 connected( X ) }.
% 0.71/1.06 (14) {G0,W22,D2,L7,V3,M1} I { ! relation( X ), ! relation( Y ), !
% 0.71/1.06 relation_isomorphism( X, Y, Z ), ! function( Z ), ! reflexive( X ),
% 0.71/1.06 reflexive( Y ), ! relation( Z ) }.
% 0.71/1.06 (15) {G0,W22,D2,L7,V3,M1} I { ! relation( X ), ! relation( Y ), !
% 0.71/1.06 relation_isomorphism( X, Y, Z ), ! function( Z ), ! transitive( X ),
% 0.71/1.06 transitive( Y ), ! relation( Z ) }.
% 0.71/1.06 (16) {G0,W22,D2,L7,V3,M1} I { ! relation( X ), ! relation( Y ), !
% 0.71/1.06 relation_isomorphism( X, Y, Z ), ! function( Z ), ! connected( X ),
% 0.71/1.06 connected( Y ), ! relation( Z ) }.
% 0.71/1.06 (17) {G0,W22,D2,L7,V3,M1} I { ! relation( X ), ! relation( Y ), !
% 0.71/1.06 relation_isomorphism( X, Y, Z ), ! function( Z ), ! antisymmetric( X ),
% 0.71/1.06 antisymmetric( Y ), ! relation( Z ) }.
% 0.71/1.06 (18) {G0,W22,D2,L7,V3,M1} I { ! relation( X ), ! relation( Y ), !
% 0.71/1.06 relation_isomorphism( X, Y, Z ), ! function( Z ), ! well_founded_relation
% 0.71/1.06 ( X ), well_founded_relation( Y ), ! relation( Z ) }.
% 0.71/1.06 (19) {G0,W2,D2,L1,V0,M1} I { relation( skol2 ) }.
% 0.71/1.06 (20) {G0,W2,D2,L1,V0,M1} I { relation( skol3 ) }.
% 0.71/1.06 (21) {G0,W2,D2,L1,V0,M1} I { relation( skol4 ) }.
% 0.71/1.06 (22) {G0,W2,D2,L1,V0,M1} I { function( skol4 ) }.
% 0.71/1.06 (23) {G0,W2,D2,L1,V0,M1} I { well_ordering( skol2 ) }.
% 0.71/1.06 (24) {G0,W4,D2,L1,V0,M1} I { relation_isomorphism( skol2, skol3, skol4 )
% 0.71/1.06 }.
% 0.71/1.06 (25) {G0,W3,D2,L1,V0,M1} I { ! well_ordering( skol3 ) }.
% 0.71/1.06 (36) {G1,W2,D2,L1,V0,M1} R(0,19);r(23) { reflexive( skol2 ) }.
% 0.71/1.06 (40) {G1,W2,D2,L1,V0,M1} R(1,19);r(23) { alpha1( skol2 ) }.
% 0.71/1.06 (43) {G1,W6,D2,L2,V0,M1} R(2,20);r(25) { ! alpha1( skol3 ), ! reflexive(
% 0.71/1.06 skol3 ) }.
% 0.71/1.06 (45) {G2,W2,D2,L1,V0,M1} R(4,40) { alpha2( skol2 ) }.
% 0.71/1.06 (46) {G3,W2,D2,L1,V0,M1} R(45,6) { antisymmetric( skol2 ) }.
% 0.71/1.06 (47) {G3,W2,D2,L1,V0,M1} R(45,7) { alpha3( skol2 ) }.
% 0.71/1.06 (48) {G2,W2,D2,L1,V0,M1} R(3,40) { transitive( skol2 ) }.
% 0.71/1.06 (49) {G4,W2,D2,L1,V0,M1} R(47,9) { connected( skol2 ) }.
% 0.71/1.06 (50) {G4,W2,D2,L1,V0,M1} R(47,10) { well_founded_relation( skol2 ) }.
% 0.71/1.06 (54) {G1,W16,D2,L5,V2,M1} R(14,21);r(22) { ! relation( X ), !
% 0.71/1.06 relation_isomorphism( X, Y, skol4 ), ! reflexive( X ), reflexive( Y ), !
% 0.71/1.06 relation( Y ) }.
% 0.71/1.06 (64) {G1,W16,D2,L5,V2,M1} R(15,21);r(22) { ! relation( X ), !
% 0.71/1.06 relation_isomorphism( X, Y, skol4 ), ! transitive( X ), transitive( Y ),
% 0.71/1.06 ! relation( Y ) }.
% 0.71/1.06 (71) {G1,W16,D2,L5,V2,M1} R(16,21);r(22) { ! relation( X ), !
% 0.71/1.06 relation_isomorphism( X, Y, skol4 ), ! connected( X ), connected( Y ), !
% 0.71/1.06 relation( Y ) }.
% 0.71/1.06 (78) {G1,W16,D2,L5,V2,M1} R(17,21);r(22) { ! relation( X ), !
% 0.71/1.06 relation_isomorphism( X, Y, skol4 ), ! antisymmetric( X ), antisymmetric
% 0.71/1.06 ( Y ), ! relation( Y ) }.
% 0.71/1.06 (88) {G1,W16,D2,L5,V2,M1} R(18,21);r(22) { ! relation( X ), !
% 0.71/1.06 relation_isomorphism( X, Y, skol4 ), ! well_founded_relation( X ),
% 0.71/1.06 well_founded_relation( Y ), ! relation( Y ) }.
% 0.71/1.06 (161) {G2,W13,D2,L4,V1,M1} R(54,20) { ! relation_isomorphism( X, skol3,
% 0.71/1.06 skol4 ), ! reflexive( X ), reflexive( skol3 ), ! relation( X ) }.
% 0.71/1.06 (179) {G3,W5,D2,L2,V0,M1} R(161,19);r(24) { reflexive( skol3 ), ! reflexive
% 0.71/1.06 ( skol2 ) }.
% 0.71/1.06 (181) {G4,W2,D2,L1,V0,M1} S(179);r(36) { reflexive( skol3 ) }.
% 0.71/1.06 (186) {G5,W3,D2,L1,V0,M1} R(181,43) { ! alpha1( skol3 ) }.
% 0.71/1.06 (188) {G2,W13,D2,L4,V1,M1} R(64,20) { ! relation_isomorphism( X, skol3,
% 0.71/1.06 skol4 ), ! transitive( X ), transitive( skol3 ), ! relation( X ) }.
% 0.71/1.06 (206) {G2,W13,D2,L4,V1,M1} R(71,20) { ! relation_isomorphism( X, skol3,
% 0.71/1.06 skol4 ), ! connected( X ), connected( skol3 ), ! relation( X ) }.
% 0.71/1.06 (214) {G3,W5,D2,L2,V0,M1} R(206,19);r(24) { connected( skol3 ), ! connected
% 0.71/1.06 ( skol2 ) }.
% 0.71/1.06 (216) {G5,W2,D2,L1,V0,M1} S(214);r(49) { connected( skol3 ) }.
% 0.71/1.06 (223) {G6,W5,D2,L2,V0,M1} R(216,11) { alpha3( skol3 ), !
% 0.71/1.06 well_founded_relation( skol3 ) }.
% 0.71/1.06 (225) {G2,W13,D2,L4,V1,M1} R(78,20) { ! relation_isomorphism( X, skol3,
% 0.71/1.06 skol4 ), ! antisymmetric( X ), antisymmetric( skol3 ), ! relation( X )
% 0.71/1.06 }.
% 0.71/1.06 (235) {G3,W5,D2,L2,V0,M1} R(225,19);r(24) { antisymmetric( skol3 ), !
% 0.71/1.06 antisymmetric( skol2 ) }.
% 0.71/1.06 (237) {G4,W2,D2,L1,V0,M1} S(235);r(46) { antisymmetric( skol3 ) }.
% 0.71/1.06 (242) {G5,W5,D2,L2,V0,M1} R(237,8) { alpha2( skol3 ), ! alpha3( skol3 ) }.
% 0.71/1.06 (244) {G2,W13,D2,L4,V1,M1} R(88,20) { ! relation_isomorphism( X, skol3,
% 0.71/1.06 skol4 ), ! well_founded_relation( X ), well_founded_relation( skol3 ), !
% 0.71/1.06 relation( X ) }.
% 0.71/1.06 (253) {G3,W5,D2,L2,V0,M1} R(244,19);r(24) { well_founded_relation( skol3 )
% 0.71/1.06 , ! well_founded_relation( skol2 ) }.
% 0.71/1.06 (255) {G5,W2,D2,L1,V0,M1} S(253);r(50) { well_founded_relation( skol3 ) }.
% 0.71/1.06 (257) {G7,W2,D2,L1,V0,M1} R(255,223) { alpha3( skol3 ) }.
% 0.71/1.06 (261) {G8,W2,D2,L1,V0,M1} R(257,242) { alpha2( skol3 ) }.
% 0.71/1.06 (269) {G3,W5,D2,L2,V0,M1} R(188,19);r(24) { transitive( skol3 ), !
% 0.71/1.06 transitive( skol2 ) }.
% 0.71/1.06 (270) {G4,W2,D2,L1,V0,M1} S(269);r(48) { transitive( skol3 ) }.
% 0.71/1.06 (275) {G9,W2,D2,L1,V0,M1} R(270,5);r(261) { alpha1( skol3 ) }.
% 0.71/1.06 (276) {G10,W0,D0,L0,V0,M0} S(275);r(186) { }.
% 0.71/1.06
% 0.71/1.06
% 0.71/1.06 % SZS output end Refutation
% 0.71/1.06 found a proof!
% 0.71/1.06
% 0.71/1.06
% 0.71/1.06 Unprocessed initial clauses:
% 0.71/1.06
% 0.71/1.06 (278) {G0,W8,D2,L3,V1,M3} { ! relation( X ), ! well_ordering( X ),
% 0.71/1.06 reflexive( X ) }.
% 0.71/1.06 (279) {G0,W8,D2,L3,V1,M3} { ! relation( X ), ! well_ordering( X ), alpha1
% 0.71/1.06 ( X ) }.
% 0.71/1.06 (280) {G0,W11,D2,L4,V1,M4} { ! relation( X ), ! reflexive( X ), ! alpha1(
% 0.71/1.06 X ), well_ordering( X ) }.
% 0.71/1.06 (281) {G0,W5,D2,L2,V1,M2} { ! alpha1( X ), transitive( X ) }.
% 0.71/1.06 (282) {G0,W5,D2,L2,V1,M2} { ! alpha1( X ), alpha2( X ) }.
% 0.71/1.06 (283) {G0,W8,D2,L3,V1,M3} { ! transitive( X ), ! alpha2( X ), alpha1( X )
% 0.71/1.07 }.
% 0.71/1.07 (284) {G0,W5,D2,L2,V1,M2} { ! alpha2( X ), antisymmetric( X ) }.
% 0.71/1.07 (285) {G0,W5,D2,L2,V1,M2} { ! alpha2( X ), alpha3( X ) }.
% 0.71/1.07 (286) {G0,W8,D2,L3,V1,M3} { ! antisymmetric( X ), ! alpha3( X ), alpha2( X
% 0.71/1.07 ) }.
% 0.71/1.07 (287) {G0,W5,D2,L2,V1,M2} { ! alpha3( X ), connected( X ) }.
% 0.71/1.07 (288) {G0,W5,D2,L2,V1,M2} { ! alpha3( X ), well_founded_relation( X ) }.
% 0.71/1.07 (289) {G0,W8,D2,L3,V1,M3} { ! connected( X ), ! well_founded_relation( X )
% 0.71/1.07 , alpha3( X ) }.
% 0.71/1.07 (290) {G0,W2,D2,L1,V0,M1} { relation( skol1 ) }.
% 0.71/1.07 (291) {G0,W2,D2,L1,V0,M1} { function( skol1 ) }.
% 0.71/1.07 (292) {G0,W22,D2,L7,V3,M7} { ! relation( X ), ! relation( Y ), ! relation
% 0.71/1.07 ( Z ), ! function( Z ), ! relation_isomorphism( X, Y, Z ), ! reflexive( X
% 0.71/1.07 ), reflexive( Y ) }.
% 0.71/1.07 (293) {G0,W22,D2,L7,V3,M7} { ! relation( X ), ! relation( Y ), ! relation
% 0.71/1.07 ( Z ), ! function( Z ), ! relation_isomorphism( X, Y, Z ), ! transitive(
% 0.71/1.07 X ), transitive( Y ) }.
% 0.71/1.07 (294) {G0,W22,D2,L7,V3,M7} { ! relation( X ), ! relation( Y ), ! relation
% 0.71/1.07 ( Z ), ! function( Z ), ! relation_isomorphism( X, Y, Z ), ! connected( X
% 0.71/1.07 ), connected( Y ) }.
% 0.71/1.07 (295) {G0,W22,D2,L7,V3,M7} { ! relation( X ), ! relation( Y ), ! relation
% 0.71/1.07 ( Z ), ! function( Z ), ! relation_isomorphism( X, Y, Z ), !
% 0.71/1.07 antisymmetric( X ), antisymmetric( Y ) }.
% 0.71/1.07 (296) {G0,W22,D2,L7,V3,M7} { ! relation( X ), ! relation( Y ), ! relation
% 0.71/1.07 ( Z ), ! function( Z ), ! relation_isomorphism( X, Y, Z ), !
% 0.71/1.07 well_founded_relation( X ), well_founded_relation( Y ) }.
% 0.71/1.07 (297) {G0,W2,D2,L1,V0,M1} { relation( skol2 ) }.
% 0.71/1.07 (298) {G0,W2,D2,L1,V0,M1} { relation( skol3 ) }.
% 0.71/1.07 (299) {G0,W2,D2,L1,V0,M1} { relation( skol4 ) }.
% 0.71/1.07 (300) {G0,W2,D2,L1,V0,M1} { function( skol4 ) }.
% 0.71/1.07 (301) {G0,W2,D2,L1,V0,M1} { well_ordering( skol2 ) }.
% 0.71/1.07 (302) {G0,W4,D2,L1,V0,M1} { relation_isomorphism( skol2, skol3, skol4 )
% 0.71/1.07 }.
% 0.71/1.07 (303) {G0,W3,D2,L1,V0,M1} { ! well_ordering( skol3 ) }.
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 Total Proof:
% 0.71/1.07
% 0.71/1.07 subsumption: (0) {G0,W8,D2,L3,V1,M1} I { reflexive( X ), ! well_ordering( X
% 0.71/1.07 ), ! relation( X ) }.
% 0.71/1.07 parent0: (278) {G0,W8,D2,L3,V1,M3} { ! relation( X ), ! well_ordering( X )
% 0.71/1.07 , reflexive( X ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := X
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 2
% 0.71/1.07 1 ==> 1
% 0.71/1.07 2 ==> 0
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (1) {G0,W8,D2,L3,V1,M1} I { alpha1( X ), ! well_ordering( X )
% 0.71/1.07 , ! relation( X ) }.
% 0.71/1.07 parent0: (279) {G0,W8,D2,L3,V1,M3} { ! relation( X ), ! well_ordering( X )
% 0.71/1.07 , alpha1( X ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := X
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 2
% 0.71/1.07 1 ==> 1
% 0.71/1.07 2 ==> 0
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (2) {G0,W11,D2,L4,V1,M1} I { ! alpha1( X ), ! reflexive( X ),
% 0.71/1.07 well_ordering( X ), ! relation( X ) }.
% 0.71/1.07 parent0: (280) {G0,W11,D2,L4,V1,M4} { ! relation( X ), ! reflexive( X ), !
% 0.71/1.07 alpha1( X ), well_ordering( X ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := X
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 3
% 0.71/1.07 1 ==> 1
% 0.71/1.07 2 ==> 0
% 0.71/1.07 3 ==> 2
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (3) {G0,W5,D2,L2,V1,M1} I { transitive( X ), ! alpha1( X ) }.
% 0.71/1.07 parent0: (281) {G0,W5,D2,L2,V1,M2} { ! alpha1( X ), transitive( X ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := X
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 1
% 0.71/1.07 1 ==> 0
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (4) {G0,W5,D2,L2,V1,M1} I { alpha2( X ), ! alpha1( X ) }.
% 0.71/1.07 parent0: (282) {G0,W5,D2,L2,V1,M2} { ! alpha1( X ), alpha2( X ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := X
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 1
% 0.71/1.07 1 ==> 0
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (5) {G0,W8,D2,L3,V1,M1} I { ! alpha2( X ), alpha1( X ), !
% 0.71/1.07 transitive( X ) }.
% 0.71/1.07 parent0: (283) {G0,W8,D2,L3,V1,M3} { ! transitive( X ), ! alpha2( X ),
% 0.71/1.07 alpha1( X ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := X
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 2
% 0.71/1.07 1 ==> 0
% 0.71/1.07 2 ==> 1
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (6) {G0,W5,D2,L2,V1,M1} I { antisymmetric( X ), ! alpha2( X )
% 0.71/1.07 }.
% 0.71/1.07 parent0: (284) {G0,W5,D2,L2,V1,M2} { ! alpha2( X ), antisymmetric( X ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := X
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 1
% 0.71/1.07 1 ==> 0
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (7) {G0,W5,D2,L2,V1,M1} I { alpha3( X ), ! alpha2( X ) }.
% 0.71/1.07 parent0: (285) {G0,W5,D2,L2,V1,M2} { ! alpha2( X ), alpha3( X ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := X
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 1
% 0.71/1.07 1 ==> 0
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (8) {G0,W8,D2,L3,V1,M1} I { ! alpha3( X ), alpha2( X ), !
% 0.71/1.07 antisymmetric( X ) }.
% 0.71/1.07 parent0: (286) {G0,W8,D2,L3,V1,M3} { ! antisymmetric( X ), ! alpha3( X ),
% 0.71/1.07 alpha2( X ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := X
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 2
% 0.71/1.07 1 ==> 0
% 0.71/1.07 2 ==> 1
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (9) {G0,W5,D2,L2,V1,M1} I { connected( X ), ! alpha3( X ) }.
% 0.71/1.07 parent0: (287) {G0,W5,D2,L2,V1,M2} { ! alpha3( X ), connected( X ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := X
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 1
% 0.71/1.07 1 ==> 0
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (10) {G0,W5,D2,L2,V1,M1} I { well_founded_relation( X ), !
% 0.71/1.07 alpha3( X ) }.
% 0.71/1.07 parent0: (288) {G0,W5,D2,L2,V1,M2} { ! alpha3( X ), well_founded_relation
% 0.71/1.07 ( X ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := X
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 1
% 0.71/1.07 1 ==> 0
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (11) {G0,W8,D2,L3,V1,M1} I { alpha3( X ), !
% 0.71/1.07 well_founded_relation( X ), ! connected( X ) }.
% 0.71/1.07 parent0: (289) {G0,W8,D2,L3,V1,M3} { ! connected( X ), !
% 0.71/1.07 well_founded_relation( X ), alpha3( X ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := X
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 2
% 0.71/1.07 1 ==> 1
% 0.71/1.07 2 ==> 0
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (14) {G0,W22,D2,L7,V3,M1} I { ! relation( X ), ! relation( Y )
% 0.71/1.07 , ! relation_isomorphism( X, Y, Z ), ! function( Z ), ! reflexive( X ),
% 0.71/1.07 reflexive( Y ), ! relation( Z ) }.
% 0.71/1.07 parent0: (292) {G0,W22,D2,L7,V3,M7} { ! relation( X ), ! relation( Y ), !
% 0.71/1.07 relation( Z ), ! function( Z ), ! relation_isomorphism( X, Y, Z ), !
% 0.71/1.07 reflexive( X ), reflexive( Y ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := X
% 0.71/1.07 Y := Y
% 0.71/1.07 Z := Z
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 0
% 0.71/1.07 1 ==> 1
% 0.71/1.07 2 ==> 6
% 0.71/1.07 3 ==> 3
% 0.71/1.07 4 ==> 2
% 0.71/1.07 5 ==> 4
% 0.71/1.07 6 ==> 5
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (15) {G0,W22,D2,L7,V3,M1} I { ! relation( X ), ! relation( Y )
% 0.71/1.07 , ! relation_isomorphism( X, Y, Z ), ! function( Z ), ! transitive( X ),
% 0.71/1.07 transitive( Y ), ! relation( Z ) }.
% 0.71/1.07 parent0: (293) {G0,W22,D2,L7,V3,M7} { ! relation( X ), ! relation( Y ), !
% 0.71/1.07 relation( Z ), ! function( Z ), ! relation_isomorphism( X, Y, Z ), !
% 0.71/1.07 transitive( X ), transitive( Y ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := X
% 0.71/1.07 Y := Y
% 0.71/1.07 Z := Z
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 0
% 0.71/1.07 1 ==> 1
% 0.71/1.07 2 ==> 6
% 0.71/1.07 3 ==> 3
% 0.71/1.07 4 ==> 2
% 0.71/1.07 5 ==> 4
% 0.71/1.07 6 ==> 5
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (16) {G0,W22,D2,L7,V3,M1} I { ! relation( X ), ! relation( Y )
% 0.71/1.07 , ! relation_isomorphism( X, Y, Z ), ! function( Z ), ! connected( X ),
% 0.71/1.07 connected( Y ), ! relation( Z ) }.
% 0.71/1.07 parent0: (294) {G0,W22,D2,L7,V3,M7} { ! relation( X ), ! relation( Y ), !
% 0.71/1.07 relation( Z ), ! function( Z ), ! relation_isomorphism( X, Y, Z ), !
% 0.71/1.07 connected( X ), connected( Y ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := X
% 0.71/1.07 Y := Y
% 0.71/1.07 Z := Z
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 0
% 0.71/1.07 1 ==> 1
% 0.71/1.07 2 ==> 6
% 0.71/1.07 3 ==> 3
% 0.71/1.07 4 ==> 2
% 0.71/1.07 5 ==> 4
% 0.71/1.07 6 ==> 5
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (17) {G0,W22,D2,L7,V3,M1} I { ! relation( X ), ! relation( Y )
% 0.71/1.07 , ! relation_isomorphism( X, Y, Z ), ! function( Z ), ! antisymmetric( X
% 0.71/1.07 ), antisymmetric( Y ), ! relation( Z ) }.
% 0.71/1.07 parent0: (295) {G0,W22,D2,L7,V3,M7} { ! relation( X ), ! relation( Y ), !
% 0.71/1.07 relation( Z ), ! function( Z ), ! relation_isomorphism( X, Y, Z ), !
% 0.71/1.07 antisymmetric( X ), antisymmetric( Y ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := X
% 0.71/1.07 Y := Y
% 0.71/1.07 Z := Z
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 0
% 0.71/1.07 1 ==> 1
% 0.71/1.07 2 ==> 6
% 0.71/1.07 3 ==> 3
% 0.71/1.07 4 ==> 2
% 0.71/1.07 5 ==> 4
% 0.71/1.07 6 ==> 5
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (18) {G0,W22,D2,L7,V3,M1} I { ! relation( X ), ! relation( Y )
% 0.71/1.07 , ! relation_isomorphism( X, Y, Z ), ! function( Z ), !
% 0.71/1.07 well_founded_relation( X ), well_founded_relation( Y ), ! relation( Z )
% 0.71/1.07 }.
% 0.71/1.07 parent0: (296) {G0,W22,D2,L7,V3,M7} { ! relation( X ), ! relation( Y ), !
% 0.71/1.07 relation( Z ), ! function( Z ), ! relation_isomorphism( X, Y, Z ), !
% 0.71/1.07 well_founded_relation( X ), well_founded_relation( Y ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := X
% 0.71/1.07 Y := Y
% 0.71/1.07 Z := Z
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 0
% 0.71/1.07 1 ==> 1
% 0.71/1.07 2 ==> 6
% 0.71/1.07 3 ==> 3
% 0.71/1.07 4 ==> 2
% 0.71/1.07 5 ==> 4
% 0.71/1.07 6 ==> 5
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (19) {G0,W2,D2,L1,V0,M1} I { relation( skol2 ) }.
% 0.71/1.07 parent0: (297) {G0,W2,D2,L1,V0,M1} { relation( skol2 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 0
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 *** allocated 22500 integers for clauses
% 0.71/1.07 subsumption: (20) {G0,W2,D2,L1,V0,M1} I { relation( skol3 ) }.
% 0.71/1.07 parent0: (298) {G0,W2,D2,L1,V0,M1} { relation( skol3 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 0
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (21) {G0,W2,D2,L1,V0,M1} I { relation( skol4 ) }.
% 0.71/1.07 parent0: (299) {G0,W2,D2,L1,V0,M1} { relation( skol4 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 0
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (22) {G0,W2,D2,L1,V0,M1} I { function( skol4 ) }.
% 0.71/1.07 parent0: (300) {G0,W2,D2,L1,V0,M1} { function( skol4 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 0
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (23) {G0,W2,D2,L1,V0,M1} I { well_ordering( skol2 ) }.
% 0.71/1.07 parent0: (301) {G0,W2,D2,L1,V0,M1} { well_ordering( skol2 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 0
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (24) {G0,W4,D2,L1,V0,M1} I { relation_isomorphism( skol2,
% 0.71/1.07 skol3, skol4 ) }.
% 0.71/1.07 parent0: (302) {G0,W4,D2,L1,V0,M1} { relation_isomorphism( skol2, skol3,
% 0.71/1.07 skol4 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 0
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (25) {G0,W3,D2,L1,V0,M1} I { ! well_ordering( skol3 ) }.
% 0.71/1.07 parent0: (303) {G0,W3,D2,L1,V0,M1} { ! well_ordering( skol3 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 0
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 resolution: (504) {G1,W5,D2,L2,V0,M2} { reflexive( skol2 ), !
% 0.71/1.07 well_ordering( skol2 ) }.
% 0.71/1.07 parent0[2]: (0) {G0,W8,D2,L3,V1,M1} I { reflexive( X ), ! well_ordering( X
% 0.71/1.07 ), ! relation( X ) }.
% 0.71/1.07 parent1[0]: (19) {G0,W2,D2,L1,V0,M1} I { relation( skol2 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := skol2
% 0.71/1.07 end
% 0.71/1.07 substitution1:
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 resolution: (505) {G1,W2,D2,L1,V0,M1} { reflexive( skol2 ) }.
% 0.71/1.07 parent0[1]: (504) {G1,W5,D2,L2,V0,M2} { reflexive( skol2 ), !
% 0.71/1.07 well_ordering( skol2 ) }.
% 0.71/1.07 parent1[0]: (23) {G0,W2,D2,L1,V0,M1} I { well_ordering( skol2 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 end
% 0.71/1.07 substitution1:
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (36) {G1,W2,D2,L1,V0,M1} R(0,19);r(23) { reflexive( skol2 )
% 0.71/1.07 }.
% 0.71/1.07 parent0: (505) {G1,W2,D2,L1,V0,M1} { reflexive( skol2 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 0
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 resolution: (506) {G1,W5,D2,L2,V0,M2} { alpha1( skol2 ), ! well_ordering(
% 0.71/1.07 skol2 ) }.
% 0.71/1.07 parent0[2]: (1) {G0,W8,D2,L3,V1,M1} I { alpha1( X ), ! well_ordering( X ),
% 0.71/1.07 ! relation( X ) }.
% 0.71/1.07 parent1[0]: (19) {G0,W2,D2,L1,V0,M1} I { relation( skol2 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := skol2
% 0.71/1.07 end
% 0.71/1.07 substitution1:
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 resolution: (507) {G1,W2,D2,L1,V0,M1} { alpha1( skol2 ) }.
% 0.71/1.07 parent0[1]: (506) {G1,W5,D2,L2,V0,M2} { alpha1( skol2 ), ! well_ordering(
% 0.71/1.07 skol2 ) }.
% 0.71/1.07 parent1[0]: (23) {G0,W2,D2,L1,V0,M1} I { well_ordering( skol2 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 end
% 0.71/1.07 substitution1:
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (40) {G1,W2,D2,L1,V0,M1} R(1,19);r(23) { alpha1( skol2 ) }.
% 0.71/1.07 parent0: (507) {G1,W2,D2,L1,V0,M1} { alpha1( skol2 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 0
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 resolution: (508) {G1,W8,D2,L3,V0,M3} { ! alpha1( skol3 ), ! reflexive(
% 0.71/1.07 skol3 ), well_ordering( skol3 ) }.
% 0.71/1.07 parent0[3]: (2) {G0,W11,D2,L4,V1,M1} I { ! alpha1( X ), ! reflexive( X ),
% 0.71/1.07 well_ordering( X ), ! relation( X ) }.
% 0.71/1.07 parent1[0]: (20) {G0,W2,D2,L1,V0,M1} I { relation( skol3 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := skol3
% 0.71/1.07 end
% 0.71/1.07 substitution1:
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 resolution: (509) {G1,W6,D2,L2,V0,M2} { ! alpha1( skol3 ), ! reflexive(
% 0.71/1.07 skol3 ) }.
% 0.71/1.07 parent0[0]: (25) {G0,W3,D2,L1,V0,M1} I { ! well_ordering( skol3 ) }.
% 0.71/1.07 parent1[2]: (508) {G1,W8,D2,L3,V0,M3} { ! alpha1( skol3 ), ! reflexive(
% 0.71/1.07 skol3 ), well_ordering( skol3 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 end
% 0.71/1.07 substitution1:
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (43) {G1,W6,D2,L2,V0,M1} R(2,20);r(25) { ! alpha1( skol3 ), !
% 0.71/1.07 reflexive( skol3 ) }.
% 0.71/1.07 parent0: (509) {G1,W6,D2,L2,V0,M2} { ! alpha1( skol3 ), ! reflexive( skol3
% 0.71/1.07 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 0
% 0.71/1.07 1 ==> 1
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 resolution: (510) {G1,W2,D2,L1,V0,M1} { alpha2( skol2 ) }.
% 0.71/1.07 parent0[1]: (4) {G0,W5,D2,L2,V1,M1} I { alpha2( X ), ! alpha1( X ) }.
% 0.71/1.07 parent1[0]: (40) {G1,W2,D2,L1,V0,M1} R(1,19);r(23) { alpha1( skol2 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := skol2
% 0.71/1.07 end
% 0.71/1.07 substitution1:
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (45) {G2,W2,D2,L1,V0,M1} R(4,40) { alpha2( skol2 ) }.
% 0.71/1.07 parent0: (510) {G1,W2,D2,L1,V0,M1} { alpha2( skol2 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 0
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 resolution: (511) {G1,W2,D2,L1,V0,M1} { antisymmetric( skol2 ) }.
% 0.71/1.07 parent0[1]: (6) {G0,W5,D2,L2,V1,M1} I { antisymmetric( X ), ! alpha2( X )
% 0.71/1.07 }.
% 0.71/1.07 parent1[0]: (45) {G2,W2,D2,L1,V0,M1} R(4,40) { alpha2( skol2 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := skol2
% 0.71/1.07 end
% 0.71/1.07 substitution1:
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (46) {G3,W2,D2,L1,V0,M1} R(45,6) { antisymmetric( skol2 ) }.
% 0.71/1.07 parent0: (511) {G1,W2,D2,L1,V0,M1} { antisymmetric( skol2 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 0
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 resolution: (512) {G1,W2,D2,L1,V0,M1} { alpha3( skol2 ) }.
% 0.71/1.07 parent0[1]: (7) {G0,W5,D2,L2,V1,M1} I { alpha3( X ), ! alpha2( X ) }.
% 0.71/1.07 parent1[0]: (45) {G2,W2,D2,L1,V0,M1} R(4,40) { alpha2( skol2 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := skol2
% 0.71/1.07 end
% 0.71/1.07 substitution1:
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (47) {G3,W2,D2,L1,V0,M1} R(45,7) { alpha3( skol2 ) }.
% 0.71/1.07 parent0: (512) {G1,W2,D2,L1,V0,M1} { alpha3( skol2 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 0
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 resolution: (513) {G1,W2,D2,L1,V0,M1} { transitive( skol2 ) }.
% 0.71/1.07 parent0[1]: (3) {G0,W5,D2,L2,V1,M1} I { transitive( X ), ! alpha1( X ) }.
% 0.71/1.07 parent1[0]: (40) {G1,W2,D2,L1,V0,M1} R(1,19);r(23) { alpha1( skol2 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := skol2
% 0.71/1.07 end
% 0.71/1.07 substitution1:
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (48) {G2,W2,D2,L1,V0,M1} R(3,40) { transitive( skol2 ) }.
% 0.71/1.07 parent0: (513) {G1,W2,D2,L1,V0,M1} { transitive( skol2 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 0
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 resolution: (514) {G1,W2,D2,L1,V0,M1} { connected( skol2 ) }.
% 0.71/1.07 parent0[1]: (9) {G0,W5,D2,L2,V1,M1} I { connected( X ), ! alpha3( X ) }.
% 0.71/1.07 parent1[0]: (47) {G3,W2,D2,L1,V0,M1} R(45,7) { alpha3( skol2 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := skol2
% 0.71/1.07 end
% 0.71/1.07 substitution1:
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (49) {G4,W2,D2,L1,V0,M1} R(47,9) { connected( skol2 ) }.
% 0.71/1.07 parent0: (514) {G1,W2,D2,L1,V0,M1} { connected( skol2 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 0
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 resolution: (515) {G1,W2,D2,L1,V0,M1} { well_founded_relation( skol2 ) }.
% 0.71/1.07 parent0[1]: (10) {G0,W5,D2,L2,V1,M1} I { well_founded_relation( X ), !
% 0.71/1.07 alpha3( X ) }.
% 0.71/1.07 parent1[0]: (47) {G3,W2,D2,L1,V0,M1} R(45,7) { alpha3( skol2 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := skol2
% 0.71/1.07 end
% 0.71/1.07 substitution1:
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (50) {G4,W2,D2,L1,V0,M1} R(47,10) { well_founded_relation(
% 0.71/1.07 skol2 ) }.
% 0.71/1.07 parent0: (515) {G1,W2,D2,L1,V0,M1} { well_founded_relation( skol2 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 0
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 resolution: (518) {G1,W19,D2,L6,V2,M6} { ! relation( X ), ! relation( Y )
% 0.71/1.07 , ! relation_isomorphism( X, Y, skol4 ), ! function( skol4 ), ! reflexive
% 0.71/1.07 ( X ), reflexive( Y ) }.
% 0.71/1.07 parent0[6]: (14) {G0,W22,D2,L7,V3,M1} I { ! relation( X ), ! relation( Y )
% 0.71/1.07 , ! relation_isomorphism( X, Y, Z ), ! function( Z ), ! reflexive( X ),
% 0.71/1.07 reflexive( Y ), ! relation( Z ) }.
% 0.71/1.07 parent1[0]: (21) {G0,W2,D2,L1,V0,M1} I { relation( skol4 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := X
% 0.71/1.07 Y := Y
% 0.71/1.07 Z := skol4
% 0.71/1.07 end
% 0.71/1.07 substitution1:
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 resolution: (523) {G1,W16,D2,L5,V2,M5} { ! relation( X ), ! relation( Y )
% 0.71/1.07 , ! relation_isomorphism( X, Y, skol4 ), ! reflexive( X ), reflexive( Y )
% 0.71/1.07 }.
% 0.71/1.07 parent0[3]: (518) {G1,W19,D2,L6,V2,M6} { ! relation( X ), ! relation( Y )
% 0.71/1.07 , ! relation_isomorphism( X, Y, skol4 ), ! function( skol4 ), ! reflexive
% 0.71/1.07 ( X ), reflexive( Y ) }.
% 0.71/1.07 parent1[0]: (22) {G0,W2,D2,L1,V0,M1} I { function( skol4 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := X
% 0.71/1.07 Y := Y
% 0.71/1.07 end
% 0.71/1.07 substitution1:
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (54) {G1,W16,D2,L5,V2,M1} R(14,21);r(22) { ! relation( X ), !
% 0.71/1.07 relation_isomorphism( X, Y, skol4 ), ! reflexive( X ), reflexive( Y ), !
% 0.71/1.07 relation( Y ) }.
% 0.71/1.07 parent0: (523) {G1,W16,D2,L5,V2,M5} { ! relation( X ), ! relation( Y ), !
% 0.71/1.07 relation_isomorphism( X, Y, skol4 ), ! reflexive( X ), reflexive( Y ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := X
% 0.71/1.07 Y := Y
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 0
% 0.71/1.07 1 ==> 4
% 0.71/1.07 2 ==> 1
% 0.71/1.07 3 ==> 2
% 0.71/1.07 4 ==> 3
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 resolution: (527) {G1,W19,D2,L6,V2,M6} { ! relation( X ), ! relation( Y )
% 0.71/1.07 , ! relation_isomorphism( X, Y, skol4 ), ! function( skol4 ), !
% 0.71/1.07 transitive( X ), transitive( Y ) }.
% 0.71/1.07 parent0[6]: (15) {G0,W22,D2,L7,V3,M1} I { ! relation( X ), ! relation( Y )
% 0.71/1.07 , ! relation_isomorphism( X, Y, Z ), ! function( Z ), ! transitive( X ),
% 0.71/1.07 transitive( Y ), ! relation( Z ) }.
% 0.71/1.07 parent1[0]: (21) {G0,W2,D2,L1,V0,M1} I { relation( skol4 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := X
% 0.71/1.07 Y := Y
% 0.71/1.07 Z := skol4
% 0.71/1.07 end
% 0.71/1.07 substitution1:
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 resolution: (532) {G1,W16,D2,L5,V2,M5} { ! relation( X ), ! relation( Y )
% 0.71/1.07 , ! relation_isomorphism( X, Y, skol4 ), ! transitive( X ), transitive( Y
% 0.71/1.07 ) }.
% 0.71/1.07 parent0[3]: (527) {G1,W19,D2,L6,V2,M6} { ! relation( X ), ! relation( Y )
% 0.71/1.07 , ! relation_isomorphism( X, Y, skol4 ), ! function( skol4 ), !
% 0.71/1.07 transitive( X ), transitive( Y ) }.
% 0.71/1.07 parent1[0]: (22) {G0,W2,D2,L1,V0,M1} I { function( skol4 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := X
% 0.71/1.07 Y := Y
% 0.71/1.07 end
% 0.71/1.07 substitution1:
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (64) {G1,W16,D2,L5,V2,M1} R(15,21);r(22) { ! relation( X ), !
% 0.71/1.07 relation_isomorphism( X, Y, skol4 ), ! transitive( X ), transitive( Y ),
% 0.71/1.07 ! relation( Y ) }.
% 0.71/1.07 parent0: (532) {G1,W16,D2,L5,V2,M5} { ! relation( X ), ! relation( Y ), !
% 0.71/1.07 relation_isomorphism( X, Y, skol4 ), ! transitive( X ), transitive( Y )
% 0.71/1.07 }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := X
% 0.71/1.07 Y := Y
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 0
% 0.71/1.07 1 ==> 4
% 0.71/1.07 2 ==> 1
% 0.71/1.07 3 ==> 2
% 0.71/1.07 4 ==> 3
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 resolution: (536) {G1,W19,D2,L6,V2,M6} { ! relation( X ), ! relation( Y )
% 0.71/1.07 , ! relation_isomorphism( X, Y, skol4 ), ! function( skol4 ), ! connected
% 0.71/1.07 ( X ), connected( Y ) }.
% 0.71/1.07 parent0[6]: (16) {G0,W22,D2,L7,V3,M1} I { ! relation( X ), ! relation( Y )
% 0.71/1.07 , ! relation_isomorphism( X, Y, Z ), ! function( Z ), ! connected( X ),
% 0.71/1.07 connected( Y ), ! relation( Z ) }.
% 0.71/1.07 parent1[0]: (21) {G0,W2,D2,L1,V0,M1} I { relation( skol4 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := X
% 0.71/1.07 Y := Y
% 0.71/1.07 Z := skol4
% 0.71/1.07 end
% 0.71/1.07 substitution1:
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 resolution: (541) {G1,W16,D2,L5,V2,M5} { ! relation( X ), ! relation( Y )
% 0.71/1.07 , ! relation_isomorphism( X, Y, skol4 ), ! connected( X ), connected( Y )
% 0.71/1.07 }.
% 0.71/1.07 parent0[3]: (536) {G1,W19,D2,L6,V2,M6} { ! relation( X ), ! relation( Y )
% 0.71/1.07 , ! relation_isomorphism( X, Y, skol4 ), ! function( skol4 ), ! connected
% 0.71/1.07 ( X ), connected( Y ) }.
% 0.71/1.07 parent1[0]: (22) {G0,W2,D2,L1,V0,M1} I { function( skol4 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := X
% 0.71/1.07 Y := Y
% 0.71/1.07 end
% 0.71/1.07 substitution1:
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (71) {G1,W16,D2,L5,V2,M1} R(16,21);r(22) { ! relation( X ), !
% 0.71/1.07 relation_isomorphism( X, Y, skol4 ), ! connected( X ), connected( Y ), !
% 0.71/1.07 relation( Y ) }.
% 0.71/1.07 parent0: (541) {G1,W16,D2,L5,V2,M5} { ! relation( X ), ! relation( Y ), !
% 0.71/1.07 relation_isomorphism( X, Y, skol4 ), ! connected( X ), connected( Y ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := X
% 0.71/1.07 Y := Y
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 0
% 0.71/1.07 1 ==> 4
% 0.71/1.07 2 ==> 1
% 0.71/1.07 3 ==> 2
% 0.71/1.07 4 ==> 3
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 resolution: (545) {G1,W19,D2,L6,V2,M6} { ! relation( X ), ! relation( Y )
% 0.71/1.07 , ! relation_isomorphism( X, Y, skol4 ), ! function( skol4 ), !
% 0.71/1.07 antisymmetric( X ), antisymmetric( Y ) }.
% 0.71/1.07 parent0[6]: (17) {G0,W22,D2,L7,V3,M1} I { ! relation( X ), ! relation( Y )
% 0.71/1.07 , ! relation_isomorphism( X, Y, Z ), ! function( Z ), ! antisymmetric( X
% 0.71/1.07 ), antisymmetric( Y ), ! relation( Z ) }.
% 0.71/1.07 parent1[0]: (21) {G0,W2,D2,L1,V0,M1} I { relation( skol4 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := X
% 0.71/1.07 Y := Y
% 0.71/1.07 Z := skol4
% 0.71/1.07 end
% 0.71/1.07 substitution1:
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 resolution: (550) {G1,W16,D2,L5,V2,M5} { ! relation( X ), ! relation( Y )
% 0.71/1.07 , ! relation_isomorphism( X, Y, skol4 ), ! antisymmetric( X ),
% 0.71/1.07 antisymmetric( Y ) }.
% 0.71/1.07 parent0[3]: (545) {G1,W19,D2,L6,V2,M6} { ! relation( X ), ! relation( Y )
% 0.71/1.07 , ! relation_isomorphism( X, Y, skol4 ), ! function( skol4 ), !
% 0.71/1.07 antisymmetric( X ), antisymmetric( Y ) }.
% 0.71/1.07 parent1[0]: (22) {G0,W2,D2,L1,V0,M1} I { function( skol4 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := X
% 0.71/1.07 Y := Y
% 0.71/1.07 end
% 0.71/1.07 substitution1:
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (78) {G1,W16,D2,L5,V2,M1} R(17,21);r(22) { ! relation( X ), !
% 0.71/1.07 relation_isomorphism( X, Y, skol4 ), ! antisymmetric( X ), antisymmetric
% 0.71/1.07 ( Y ), ! relation( Y ) }.
% 0.71/1.07 parent0: (550) {G1,W16,D2,L5,V2,M5} { ! relation( X ), ! relation( Y ), !
% 0.71/1.07 relation_isomorphism( X, Y, skol4 ), ! antisymmetric( X ), antisymmetric
% 0.71/1.07 ( Y ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := X
% 0.71/1.07 Y := Y
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 0
% 0.71/1.07 1 ==> 4
% 0.71/1.07 2 ==> 1
% 0.71/1.07 3 ==> 2
% 0.71/1.07 4 ==> 3
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 resolution: (554) {G1,W19,D2,L6,V2,M6} { ! relation( X ), ! relation( Y )
% 0.71/1.07 , ! relation_isomorphism( X, Y, skol4 ), ! function( skol4 ), !
% 0.71/1.07 well_founded_relation( X ), well_founded_relation( Y ) }.
% 0.71/1.07 parent0[6]: (18) {G0,W22,D2,L7,V3,M1} I { ! relation( X ), ! relation( Y )
% 0.71/1.07 , ! relation_isomorphism( X, Y, Z ), ! function( Z ), !
% 0.71/1.07 well_founded_relation( X ), well_founded_relation( Y ), ! relation( Z )
% 0.71/1.07 }.
% 0.71/1.07 parent1[0]: (21) {G0,W2,D2,L1,V0,M1} I { relation( skol4 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := X
% 0.71/1.07 Y := Y
% 0.71/1.07 Z := skol4
% 0.71/1.07 end
% 0.71/1.07 substitution1:
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 resolution: (559) {G1,W16,D2,L5,V2,M5} { ! relation( X ), ! relation( Y )
% 0.71/1.07 , ! relation_isomorphism( X, Y, skol4 ), ! well_founded_relation( X ),
% 0.71/1.07 well_founded_relation( Y ) }.
% 0.71/1.07 parent0[3]: (554) {G1,W19,D2,L6,V2,M6} { ! relation( X ), ! relation( Y )
% 0.71/1.07 , ! relation_isomorphism( X, Y, skol4 ), ! function( skol4 ), !
% 0.71/1.07 well_founded_relation( X ), well_founded_relation( Y ) }.
% 0.71/1.07 parent1[0]: (22) {G0,W2,D2,L1,V0,M1} I { function( skol4 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := X
% 0.71/1.07 Y := Y
% 0.71/1.07 end
% 0.71/1.07 substitution1:
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (88) {G1,W16,D2,L5,V2,M1} R(18,21);r(22) { ! relation( X ), !
% 0.71/1.07 relation_isomorphism( X, Y, skol4 ), ! well_founded_relation( X ),
% 0.71/1.07 well_founded_relation( Y ), ! relation( Y ) }.
% 0.71/1.07 parent0: (559) {G1,W16,D2,L5,V2,M5} { ! relation( X ), ! relation( Y ), !
% 0.71/1.07 relation_isomorphism( X, Y, skol4 ), ! well_founded_relation( X ),
% 0.71/1.07 well_founded_relation( Y ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := X
% 0.71/1.07 Y := Y
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 0
% 0.71/1.07 1 ==> 4
% 0.71/1.07 2 ==> 1
% 0.71/1.07 3 ==> 2
% 0.71/1.07 4 ==> 3
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 resolution: (562) {G1,W13,D2,L4,V1,M4} { ! relation( X ), !
% 0.71/1.07 relation_isomorphism( X, skol3, skol4 ), ! reflexive( X ), reflexive(
% 0.71/1.07 skol3 ) }.
% 0.71/1.07 parent0[4]: (54) {G1,W16,D2,L5,V2,M1} R(14,21);r(22) { ! relation( X ), !
% 0.71/1.07 relation_isomorphism( X, Y, skol4 ), ! reflexive( X ), reflexive( Y ), !
% 0.71/1.07 relation( Y ) }.
% 0.71/1.07 parent1[0]: (20) {G0,W2,D2,L1,V0,M1} I { relation( skol3 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := X
% 0.71/1.07 Y := skol3
% 0.71/1.07 end
% 0.71/1.07 substitution1:
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (161) {G2,W13,D2,L4,V1,M1} R(54,20) { ! relation_isomorphism(
% 0.71/1.07 X, skol3, skol4 ), ! reflexive( X ), reflexive( skol3 ), ! relation( X )
% 0.71/1.07 }.
% 0.71/1.07 parent0: (562) {G1,W13,D2,L4,V1,M4} { ! relation( X ), !
% 0.71/1.07 relation_isomorphism( X, skol3, skol4 ), ! reflexive( X ), reflexive(
% 0.71/1.07 skol3 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := X
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 3
% 0.71/1.07 1 ==> 0
% 0.71/1.07 2 ==> 1
% 0.71/1.07 3 ==> 2
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 resolution: (563) {G1,W10,D2,L3,V0,M3} { ! relation_isomorphism( skol2,
% 0.71/1.07 skol3, skol4 ), ! reflexive( skol2 ), reflexive( skol3 ) }.
% 0.71/1.07 parent0[3]: (161) {G2,W13,D2,L4,V1,M1} R(54,20) { ! relation_isomorphism( X
% 0.71/1.07 , skol3, skol4 ), ! reflexive( X ), reflexive( skol3 ), ! relation( X )
% 0.71/1.07 }.
% 0.71/1.07 parent1[0]: (19) {G0,W2,D2,L1,V0,M1} I { relation( skol2 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := skol2
% 0.71/1.07 end
% 0.71/1.07 substitution1:
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 resolution: (564) {G1,W5,D2,L2,V0,M2} { ! reflexive( skol2 ), reflexive(
% 0.71/1.07 skol3 ) }.
% 0.71/1.07 parent0[0]: (563) {G1,W10,D2,L3,V0,M3} { ! relation_isomorphism( skol2,
% 0.71/1.07 skol3, skol4 ), ! reflexive( skol2 ), reflexive( skol3 ) }.
% 0.71/1.07 parent1[0]: (24) {G0,W4,D2,L1,V0,M1} I { relation_isomorphism( skol2, skol3
% 0.71/1.07 , skol4 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 end
% 0.71/1.07 substitution1:
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (179) {G3,W5,D2,L2,V0,M1} R(161,19);r(24) { reflexive( skol3 )
% 0.71/1.07 , ! reflexive( skol2 ) }.
% 0.71/1.07 parent0: (564) {G1,W5,D2,L2,V0,M2} { ! reflexive( skol2 ), reflexive(
% 0.71/1.07 skol3 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 1
% 0.71/1.07 1 ==> 0
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 resolution: (565) {G2,W2,D2,L1,V0,M1} { reflexive( skol3 ) }.
% 0.71/1.07 parent0[1]: (179) {G3,W5,D2,L2,V0,M1} R(161,19);r(24) { reflexive( skol3 )
% 0.71/1.07 , ! reflexive( skol2 ) }.
% 0.71/1.07 parent1[0]: (36) {G1,W2,D2,L1,V0,M1} R(0,19);r(23) { reflexive( skol2 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 end
% 0.71/1.07 substitution1:
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (181) {G4,W2,D2,L1,V0,M1} S(179);r(36) { reflexive( skol3 )
% 0.71/1.07 }.
% 0.71/1.07 parent0: (565) {G2,W2,D2,L1,V0,M1} { reflexive( skol3 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 0
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 resolution: (566) {G2,W3,D2,L1,V0,M1} { ! alpha1( skol3 ) }.
% 0.71/1.07 parent0[1]: (43) {G1,W6,D2,L2,V0,M1} R(2,20);r(25) { ! alpha1( skol3 ), !
% 0.71/1.07 reflexive( skol3 ) }.
% 0.71/1.07 parent1[0]: (181) {G4,W2,D2,L1,V0,M1} S(179);r(36) { reflexive( skol3 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 end
% 0.71/1.07 substitution1:
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (186) {G5,W3,D2,L1,V0,M1} R(181,43) { ! alpha1( skol3 ) }.
% 0.71/1.07 parent0: (566) {G2,W3,D2,L1,V0,M1} { ! alpha1( skol3 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 0
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 resolution: (568) {G1,W13,D2,L4,V1,M4} { ! relation( X ), !
% 0.71/1.07 relation_isomorphism( X, skol3, skol4 ), ! transitive( X ), transitive(
% 0.71/1.07 skol3 ) }.
% 0.71/1.07 parent0[4]: (64) {G1,W16,D2,L5,V2,M1} R(15,21);r(22) { ! relation( X ), !
% 0.71/1.07 relation_isomorphism( X, Y, skol4 ), ! transitive( X ), transitive( Y ),
% 0.71/1.07 ! relation( Y ) }.
% 0.71/1.07 parent1[0]: (20) {G0,W2,D2,L1,V0,M1} I { relation( skol3 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := X
% 0.71/1.07 Y := skol3
% 0.71/1.07 end
% 0.71/1.07 substitution1:
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (188) {G2,W13,D2,L4,V1,M1} R(64,20) { ! relation_isomorphism(
% 0.71/1.07 X, skol3, skol4 ), ! transitive( X ), transitive( skol3 ), ! relation( X
% 0.71/1.07 ) }.
% 0.71/1.07 parent0: (568) {G1,W13,D2,L4,V1,M4} { ! relation( X ), !
% 0.71/1.07 relation_isomorphism( X, skol3, skol4 ), ! transitive( X ), transitive(
% 0.71/1.07 skol3 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := X
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 3
% 0.71/1.07 1 ==> 0
% 0.71/1.07 2 ==> 1
% 0.71/1.07 3 ==> 2
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 resolution: (570) {G1,W13,D2,L4,V1,M4} { ! relation( X ), !
% 0.71/1.07 relation_isomorphism( X, skol3, skol4 ), ! connected( X ), connected(
% 0.71/1.07 skol3 ) }.
% 0.71/1.07 parent0[4]: (71) {G1,W16,D2,L5,V2,M1} R(16,21);r(22) { ! relation( X ), !
% 0.71/1.07 relation_isomorphism( X, Y, skol4 ), ! connected( X ), connected( Y ), !
% 0.71/1.07 relation( Y ) }.
% 0.71/1.07 parent1[0]: (20) {G0,W2,D2,L1,V0,M1} I { relation( skol3 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := X
% 0.71/1.07 Y := skol3
% 0.71/1.07 end
% 0.71/1.07 substitution1:
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (206) {G2,W13,D2,L4,V1,M1} R(71,20) { ! relation_isomorphism(
% 0.71/1.07 X, skol3, skol4 ), ! connected( X ), connected( skol3 ), ! relation( X )
% 0.71/1.07 }.
% 0.71/1.07 parent0: (570) {G1,W13,D2,L4,V1,M4} { ! relation( X ), !
% 0.71/1.07 relation_isomorphism( X, skol3, skol4 ), ! connected( X ), connected(
% 0.71/1.07 skol3 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := X
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 3
% 0.71/1.07 1 ==> 0
% 0.71/1.07 2 ==> 1
% 0.71/1.07 3 ==> 2
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 resolution: (571) {G1,W10,D2,L3,V0,M3} { ! relation_isomorphism( skol2,
% 0.71/1.07 skol3, skol4 ), ! connected( skol2 ), connected( skol3 ) }.
% 0.71/1.07 parent0[3]: (206) {G2,W13,D2,L4,V1,M1} R(71,20) { ! relation_isomorphism( X
% 0.71/1.07 , skol3, skol4 ), ! connected( X ), connected( skol3 ), ! relation( X )
% 0.71/1.07 }.
% 0.71/1.07 parent1[0]: (19) {G0,W2,D2,L1,V0,M1} I { relation( skol2 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := skol2
% 0.71/1.07 end
% 0.71/1.07 substitution1:
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 resolution: (572) {G1,W5,D2,L2,V0,M2} { ! connected( skol2 ), connected(
% 0.71/1.07 skol3 ) }.
% 0.71/1.07 parent0[0]: (571) {G1,W10,D2,L3,V0,M3} { ! relation_isomorphism( skol2,
% 0.71/1.07 skol3, skol4 ), ! connected( skol2 ), connected( skol3 ) }.
% 0.71/1.07 parent1[0]: (24) {G0,W4,D2,L1,V0,M1} I { relation_isomorphism( skol2, skol3
% 0.71/1.07 , skol4 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 end
% 0.71/1.07 substitution1:
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (214) {G3,W5,D2,L2,V0,M1} R(206,19);r(24) { connected( skol3 )
% 0.71/1.07 , ! connected( skol2 ) }.
% 0.71/1.07 parent0: (572) {G1,W5,D2,L2,V0,M2} { ! connected( skol2 ), connected(
% 0.71/1.07 skol3 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 1
% 0.71/1.07 1 ==> 0
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 resolution: (573) {G4,W2,D2,L1,V0,M1} { connected( skol3 ) }.
% 0.71/1.07 parent0[1]: (214) {G3,W5,D2,L2,V0,M1} R(206,19);r(24) { connected( skol3 )
% 0.71/1.07 , ! connected( skol2 ) }.
% 0.71/1.07 parent1[0]: (49) {G4,W2,D2,L1,V0,M1} R(47,9) { connected( skol2 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 end
% 0.71/1.07 substitution1:
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (216) {G5,W2,D2,L1,V0,M1} S(214);r(49) { connected( skol3 )
% 0.71/1.07 }.
% 0.71/1.07 parent0: (573) {G4,W2,D2,L1,V0,M1} { connected( skol3 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 0
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 resolution: (574) {G1,W5,D2,L2,V0,M2} { alpha3( skol3 ), !
% 0.71/1.07 well_founded_relation( skol3 ) }.
% 0.71/1.07 parent0[2]: (11) {G0,W8,D2,L3,V1,M1} I { alpha3( X ), !
% 0.71/1.07 well_founded_relation( X ), ! connected( X ) }.
% 0.71/1.07 parent1[0]: (216) {G5,W2,D2,L1,V0,M1} S(214);r(49) { connected( skol3 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := skol3
% 0.71/1.07 end
% 0.71/1.07 substitution1:
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (223) {G6,W5,D2,L2,V0,M1} R(216,11) { alpha3( skol3 ), !
% 0.71/1.07 well_founded_relation( skol3 ) }.
% 0.71/1.07 parent0: (574) {G1,W5,D2,L2,V0,M2} { alpha3( skol3 ), !
% 0.71/1.07 well_founded_relation( skol3 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 0
% 0.71/1.07 1 ==> 1
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 resolution: (576) {G1,W13,D2,L4,V1,M4} { ! relation( X ), !
% 0.71/1.07 relation_isomorphism( X, skol3, skol4 ), ! antisymmetric( X ),
% 0.71/1.07 antisymmetric( skol3 ) }.
% 0.71/1.07 parent0[4]: (78) {G1,W16,D2,L5,V2,M1} R(17,21);r(22) { ! relation( X ), !
% 0.71/1.07 relation_isomorphism( X, Y, skol4 ), ! antisymmetric( X ), antisymmetric
% 0.71/1.07 ( Y ), ! relation( Y ) }.
% 0.71/1.07 parent1[0]: (20) {G0,W2,D2,L1,V0,M1} I { relation( skol3 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := X
% 0.71/1.07 Y := skol3
% 0.71/1.07 end
% 0.71/1.07 substitution1:
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (225) {G2,W13,D2,L4,V1,M1} R(78,20) { ! relation_isomorphism(
% 0.71/1.07 X, skol3, skol4 ), ! antisymmetric( X ), antisymmetric( skol3 ), !
% 0.71/1.07 relation( X ) }.
% 0.71/1.07 parent0: (576) {G1,W13,D2,L4,V1,M4} { ! relation( X ), !
% 0.71/1.07 relation_isomorphism( X, skol3, skol4 ), ! antisymmetric( X ),
% 0.71/1.07 antisymmetric( skol3 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := X
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 3
% 0.71/1.07 1 ==> 0
% 0.71/1.07 2 ==> 1
% 0.71/1.07 3 ==> 2
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 resolution: (577) {G1,W10,D2,L3,V0,M3} { ! relation_isomorphism( skol2,
% 0.71/1.07 skol3, skol4 ), ! antisymmetric( skol2 ), antisymmetric( skol3 ) }.
% 0.71/1.07 parent0[3]: (225) {G2,W13,D2,L4,V1,M1} R(78,20) { ! relation_isomorphism( X
% 0.71/1.07 , skol3, skol4 ), ! antisymmetric( X ), antisymmetric( skol3 ), !
% 0.71/1.07 relation( X ) }.
% 0.71/1.07 parent1[0]: (19) {G0,W2,D2,L1,V0,M1} I { relation( skol2 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := skol2
% 0.71/1.07 end
% 0.71/1.07 substitution1:
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 resolution: (578) {G1,W5,D2,L2,V0,M2} { ! antisymmetric( skol2 ),
% 0.71/1.07 antisymmetric( skol3 ) }.
% 0.71/1.07 parent0[0]: (577) {G1,W10,D2,L3,V0,M3} { ! relation_isomorphism( skol2,
% 0.71/1.07 skol3, skol4 ), ! antisymmetric( skol2 ), antisymmetric( skol3 ) }.
% 0.71/1.07 parent1[0]: (24) {G0,W4,D2,L1,V0,M1} I { relation_isomorphism( skol2, skol3
% 0.71/1.07 , skol4 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 end
% 0.71/1.07 substitution1:
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (235) {G3,W5,D2,L2,V0,M1} R(225,19);r(24) { antisymmetric(
% 0.71/1.07 skol3 ), ! antisymmetric( skol2 ) }.
% 0.71/1.07 parent0: (578) {G1,W5,D2,L2,V0,M2} { ! antisymmetric( skol2 ),
% 0.71/1.07 antisymmetric( skol3 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 1
% 0.71/1.07 1 ==> 0
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 resolution: (579) {G4,W2,D2,L1,V0,M1} { antisymmetric( skol3 ) }.
% 0.71/1.07 parent0[1]: (235) {G3,W5,D2,L2,V0,M1} R(225,19);r(24) { antisymmetric(
% 0.71/1.07 skol3 ), ! antisymmetric( skol2 ) }.
% 0.71/1.07 parent1[0]: (46) {G3,W2,D2,L1,V0,M1} R(45,6) { antisymmetric( skol2 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 end
% 0.71/1.07 substitution1:
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (237) {G4,W2,D2,L1,V0,M1} S(235);r(46) { antisymmetric( skol3
% 0.71/1.07 ) }.
% 0.71/1.07 parent0: (579) {G4,W2,D2,L1,V0,M1} { antisymmetric( skol3 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 0
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 resolution: (580) {G1,W5,D2,L2,V0,M2} { ! alpha3( skol3 ), alpha2( skol3 )
% 0.71/1.07 }.
% 0.71/1.07 parent0[2]: (8) {G0,W8,D2,L3,V1,M1} I { ! alpha3( X ), alpha2( X ), !
% 0.71/1.07 antisymmetric( X ) }.
% 0.71/1.07 parent1[0]: (237) {G4,W2,D2,L1,V0,M1} S(235);r(46) { antisymmetric( skol3 )
% 0.71/1.07 }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := skol3
% 0.71/1.07 end
% 0.71/1.07 substitution1:
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (242) {G5,W5,D2,L2,V0,M1} R(237,8) { alpha2( skol3 ), ! alpha3
% 0.71/1.07 ( skol3 ) }.
% 0.71/1.07 parent0: (580) {G1,W5,D2,L2,V0,M2} { ! alpha3( skol3 ), alpha2( skol3 )
% 0.71/1.07 }.
% 0.71/1.07 substitution0:
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 1
% 0.71/1.07 1 ==> 0
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 resolution: (582) {G1,W13,D2,L4,V1,M4} { ! relation( X ), !
% 0.71/1.07 relation_isomorphism( X, skol3, skol4 ), ! well_founded_relation( X ),
% 0.71/1.07 well_founded_relation( skol3 ) }.
% 0.71/1.07 parent0[4]: (88) {G1,W16,D2,L5,V2,M1} R(18,21);r(22) { ! relation( X ), !
% 0.71/1.07 relation_isomorphism( X, Y, skol4 ), ! well_founded_relation( X ),
% 0.71/1.07 well_founded_relation( Y ), ! relation( Y ) }.
% 0.71/1.07 parent1[0]: (20) {G0,W2,D2,L1,V0,M1} I { relation( skol3 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := X
% 0.71/1.07 Y := skol3
% 0.71/1.07 end
% 0.71/1.07 substitution1:
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (244) {G2,W13,D2,L4,V1,M1} R(88,20) { ! relation_isomorphism(
% 0.71/1.07 X, skol3, skol4 ), ! well_founded_relation( X ), well_founded_relation(
% 0.71/1.07 skol3 ), ! relation( X ) }.
% 0.71/1.07 parent0: (582) {G1,W13,D2,L4,V1,M4} { ! relation( X ), !
% 0.71/1.07 relation_isomorphism( X, skol3, skol4 ), ! well_founded_relation( X ),
% 0.71/1.07 well_founded_relation( skol3 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := X
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 3
% 0.71/1.07 1 ==> 0
% 0.71/1.07 2 ==> 1
% 0.71/1.07 3 ==> 2
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 resolution: (583) {G1,W10,D2,L3,V0,M3} { ! relation_isomorphism( skol2,
% 0.71/1.07 skol3, skol4 ), ! well_founded_relation( skol2 ), well_founded_relation(
% 0.71/1.07 skol3 ) }.
% 0.71/1.07 parent0[3]: (244) {G2,W13,D2,L4,V1,M1} R(88,20) { ! relation_isomorphism( X
% 0.71/1.07 , skol3, skol4 ), ! well_founded_relation( X ), well_founded_relation(
% 0.71/1.07 skol3 ), ! relation( X ) }.
% 0.71/1.07 parent1[0]: (19) {G0,W2,D2,L1,V0,M1} I { relation( skol2 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := skol2
% 0.71/1.07 end
% 0.71/1.07 substitution1:
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 resolution: (584) {G1,W5,D2,L2,V0,M2} { ! well_founded_relation( skol2 ),
% 0.71/1.07 well_founded_relation( skol3 ) }.
% 0.71/1.07 parent0[0]: (583) {G1,W10,D2,L3,V0,M3} { ! relation_isomorphism( skol2,
% 0.71/1.07 skol3, skol4 ), ! well_founded_relation( skol2 ), well_founded_relation(
% 0.71/1.07 skol3 ) }.
% 0.71/1.07 parent1[0]: (24) {G0,W4,D2,L1,V0,M1} I { relation_isomorphism( skol2, skol3
% 0.71/1.07 , skol4 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 end
% 0.71/1.07 substitution1:
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (253) {G3,W5,D2,L2,V0,M1} R(244,19);r(24) {
% 0.71/1.07 well_founded_relation( skol3 ), ! well_founded_relation( skol2 ) }.
% 0.71/1.07 parent0: (584) {G1,W5,D2,L2,V0,M2} { ! well_founded_relation( skol2 ),
% 0.71/1.07 well_founded_relation( skol3 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 1
% 0.71/1.07 1 ==> 0
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 resolution: (585) {G4,W2,D2,L1,V0,M1} { well_founded_relation( skol3 ) }.
% 0.71/1.07 parent0[1]: (253) {G3,W5,D2,L2,V0,M1} R(244,19);r(24) {
% 0.71/1.07 well_founded_relation( skol3 ), ! well_founded_relation( skol2 ) }.
% 0.71/1.07 parent1[0]: (50) {G4,W2,D2,L1,V0,M1} R(47,10) { well_founded_relation(
% 0.71/1.07 skol2 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 end
% 0.71/1.07 substitution1:
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (255) {G5,W2,D2,L1,V0,M1} S(253);r(50) { well_founded_relation
% 0.71/1.07 ( skol3 ) }.
% 0.71/1.07 parent0: (585) {G4,W2,D2,L1,V0,M1} { well_founded_relation( skol3 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 0
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 resolution: (586) {G6,W2,D2,L1,V0,M1} { alpha3( skol3 ) }.
% 0.71/1.07 parent0[1]: (223) {G6,W5,D2,L2,V0,M1} R(216,11) { alpha3( skol3 ), !
% 0.71/1.07 well_founded_relation( skol3 ) }.
% 0.71/1.07 parent1[0]: (255) {G5,W2,D2,L1,V0,M1} S(253);r(50) { well_founded_relation
% 0.71/1.07 ( skol3 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 end
% 0.71/1.07 substitution1:
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (257) {G7,W2,D2,L1,V0,M1} R(255,223) { alpha3( skol3 ) }.
% 0.71/1.07 parent0: (586) {G6,W2,D2,L1,V0,M1} { alpha3( skol3 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 0
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 resolution: (587) {G6,W2,D2,L1,V0,M1} { alpha2( skol3 ) }.
% 0.71/1.07 parent0[1]: (242) {G5,W5,D2,L2,V0,M1} R(237,8) { alpha2( skol3 ), ! alpha3
% 0.71/1.07 ( skol3 ) }.
% 0.71/1.07 parent1[0]: (257) {G7,W2,D2,L1,V0,M1} R(255,223) { alpha3( skol3 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 end
% 0.71/1.07 substitution1:
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (261) {G8,W2,D2,L1,V0,M1} R(257,242) { alpha2( skol3 ) }.
% 0.71/1.07 parent0: (587) {G6,W2,D2,L1,V0,M1} { alpha2( skol3 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 0
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 resolution: (588) {G1,W10,D2,L3,V0,M3} { ! relation_isomorphism( skol2,
% 0.71/1.07 skol3, skol4 ), ! transitive( skol2 ), transitive( skol3 ) }.
% 0.71/1.07 parent0[3]: (188) {G2,W13,D2,L4,V1,M1} R(64,20) { ! relation_isomorphism( X
% 0.71/1.07 , skol3, skol4 ), ! transitive( X ), transitive( skol3 ), ! relation( X )
% 0.71/1.07 }.
% 0.71/1.07 parent1[0]: (19) {G0,W2,D2,L1,V0,M1} I { relation( skol2 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := skol2
% 0.71/1.07 end
% 0.71/1.07 substitution1:
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 resolution: (589) {G1,W5,D2,L2,V0,M2} { ! transitive( skol2 ), transitive
% 0.71/1.07 ( skol3 ) }.
% 0.71/1.07 parent0[0]: (588) {G1,W10,D2,L3,V0,M3} { ! relation_isomorphism( skol2,
% 0.71/1.07 skol3, skol4 ), ! transitive( skol2 ), transitive( skol3 ) }.
% 0.71/1.07 parent1[0]: (24) {G0,W4,D2,L1,V0,M1} I { relation_isomorphism( skol2, skol3
% 0.71/1.07 , skol4 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 end
% 0.71/1.07 substitution1:
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (269) {G3,W5,D2,L2,V0,M1} R(188,19);r(24) { transitive( skol3
% 0.71/1.07 ), ! transitive( skol2 ) }.
% 0.71/1.07 parent0: (589) {G1,W5,D2,L2,V0,M2} { ! transitive( skol2 ), transitive(
% 0.71/1.07 skol3 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 1
% 0.71/1.07 1 ==> 0
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 resolution: (590) {G3,W2,D2,L1,V0,M1} { transitive( skol3 ) }.
% 0.71/1.07 parent0[1]: (269) {G3,W5,D2,L2,V0,M1} R(188,19);r(24) { transitive( skol3 )
% 0.71/1.07 , ! transitive( skol2 ) }.
% 0.71/1.07 parent1[0]: (48) {G2,W2,D2,L1,V0,M1} R(3,40) { transitive( skol2 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 end
% 0.71/1.07 substitution1:
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (270) {G4,W2,D2,L1,V0,M1} S(269);r(48) { transitive( skol3 )
% 0.71/1.07 }.
% 0.71/1.07 parent0: (590) {G3,W2,D2,L1,V0,M1} { transitive( skol3 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 0
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 resolution: (591) {G1,W5,D2,L2,V0,M2} { ! alpha2( skol3 ), alpha1( skol3 )
% 0.71/1.07 }.
% 0.71/1.07 parent0[2]: (5) {G0,W8,D2,L3,V1,M1} I { ! alpha2( X ), alpha1( X ), !
% 0.71/1.07 transitive( X ) }.
% 0.71/1.07 parent1[0]: (270) {G4,W2,D2,L1,V0,M1} S(269);r(48) { transitive( skol3 )
% 0.71/1.07 }.
% 0.71/1.07 substitution0:
% 0.71/1.07 X := skol3
% 0.71/1.07 end
% 0.71/1.07 substitution1:
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 resolution: (592) {G2,W2,D2,L1,V0,M1} { alpha1( skol3 ) }.
% 0.71/1.07 parent0[0]: (591) {G1,W5,D2,L2,V0,M2} { ! alpha2( skol3 ), alpha1( skol3 )
% 0.71/1.07 }.
% 0.71/1.07 parent1[0]: (261) {G8,W2,D2,L1,V0,M1} R(257,242) { alpha2( skol3 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 end
% 0.71/1.07 substitution1:
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (275) {G9,W2,D2,L1,V0,M1} R(270,5);r(261) { alpha1( skol3 )
% 0.71/1.07 }.
% 0.71/1.07 parent0: (592) {G2,W2,D2,L1,V0,M1} { alpha1( skol3 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 0 ==> 0
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 resolution: (593) {G6,W0,D0,L0,V0,M0} { }.
% 0.71/1.07 parent0[0]: (186) {G5,W3,D2,L1,V0,M1} R(181,43) { ! alpha1( skol3 ) }.
% 0.71/1.07 parent1[0]: (275) {G9,W2,D2,L1,V0,M1} R(270,5);r(261) { alpha1( skol3 ) }.
% 0.71/1.07 substitution0:
% 0.71/1.07 end
% 0.71/1.07 substitution1:
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 subsumption: (276) {G10,W0,D0,L0,V0,M0} S(275);r(186) { }.
% 0.71/1.07 parent0: (593) {G6,W0,D0,L0,V0,M0} { }.
% 0.71/1.07 substitution0:
% 0.71/1.07 end
% 0.71/1.07 permutation0:
% 0.71/1.07 end
% 0.71/1.07
% 0.71/1.07 Proof check complete!
% 0.71/1.07
% 0.71/1.07 Memory use:
% 0.71/1.07
% 0.71/1.07 space for terms: 3409
% 0.71/1.07 space for clauses: 12335
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 clauses generated: 408
% 0.71/1.07 clauses kept: 277
% 0.71/1.07 clauses selected: 215
% 0.71/1.07 clauses deleted: 17
% 0.71/1.07 clauses inuse deleted: 0
% 0.71/1.07
% 0.71/1.07 subsentry: 655
% 0.71/1.07 literals s-matched: 322
% 0.71/1.07 literals matched: 172
% 0.71/1.07 full subsumption: 0
% 0.71/1.07
% 0.71/1.07 checksum: -1092139706
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 Bliksem ended
%------------------------------------------------------------------------------