TSTP Solution File: PUZ129+2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : PUZ129+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 17:58:33 EDT 2022
% Result : Theorem 0.43s 1.06s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ129+2 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n029.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 : Sat May 28 21:19:57 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.43/1.06 *** allocated 10000 integers for termspace/termends
% 0.43/1.06 *** allocated 10000 integers for clauses
% 0.43/1.06 *** allocated 10000 integers for justifications
% 0.43/1.06 Bliksem 1.12
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 Automatic Strategy Selection
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 Clauses:
% 0.43/1.06
% 0.43/1.06 { alpha1 }.
% 0.43/1.06 { ! grocer( X ), ! property1( Y, healthy, pos ), ! X = Y }.
% 0.43/1.06 { alpha2 }.
% 0.43/1.06 { alpha4 }.
% 0.43/1.06 { ! cyclist( X ), ! property1( X, unhealthy, pos ), property1( skol1( Y ),
% 0.43/1.06 dishonest, pos ) }.
% 0.43/1.06 { ! cyclist( X ), ! property1( X, unhealthy, pos ), X = skol1( X ) }.
% 0.43/1.06 { ! person( X ), ! property1( X, healthy, pos ), ! property1( Y, unhealthy
% 0.43/1.06 , pos ), ! X = Y }.
% 0.43/1.06 { ! person( X ), ! property1( X, honest, pos ), ! property1( Y, dishonest,
% 0.43/1.06 pos ), ! X = Y }.
% 0.43/1.06 { alpha6 }.
% 0.43/1.06 { ! cyclist( X ), person( skol6( Y ) ) }.
% 0.43/1.06 { ! cyclist( X ), X = skol6( X ) }.
% 0.43/1.06 { grocer( skol11 ) }.
% 0.43/1.06 { cyclist( skol12 ) }.
% 0.43/1.06 { skol11 = skol12 }.
% 0.43/1.06 { ! alpha6, ! grocer( X ), person( skol2( Y ) ) }.
% 0.43/1.06 { ! alpha6, ! grocer( X ), X = skol2( X ) }.
% 0.43/1.06 { grocer( skol7 ), alpha6 }.
% 0.43/1.06 { ! person( X ), ! skol7 = X, alpha6 }.
% 0.43/1.06 { ! alpha4, ! cyclist( X ), property1( skol3( Y ), industrious, pos ) }.
% 0.43/1.06 { ! alpha4, ! cyclist( X ), X = skol3( X ) }.
% 0.43/1.06 { cyclist( skol8 ), alpha4 }.
% 0.43/1.06 { ! property1( X, industrious, pos ), ! skol8 = X, alpha4 }.
% 0.43/1.06 { ! alpha2, alpha5( X ), property1( skol4( Y ), honest, pos ) }.
% 0.43/1.06 { ! alpha2, alpha5( X ), X = skol4( X ) }.
% 0.43/1.06 { ! alpha5( skol9 ), alpha2 }.
% 0.43/1.06 { ! property1( X, honest, pos ), ! skol9 = X, alpha2 }.
% 0.43/1.06 { ! alpha5( X ), ! grocer( X ), ! property1( X, industrious, pos ) }.
% 0.43/1.06 { grocer( X ), alpha5( X ) }.
% 0.43/1.06 { property1( X, industrious, pos ), alpha5( X ) }.
% 0.43/1.06 { ! alpha1, alpha3( X ), property1( skol5( Y ), healthy, pos ) }.
% 0.43/1.06 { ! alpha1, alpha3( X ), X = skol5( X ) }.
% 0.43/1.06 { ! alpha3( skol10 ), alpha1 }.
% 0.43/1.06 { ! property1( X, healthy, pos ), ! skol10 = X, alpha1 }.
% 0.43/1.06 { ! alpha3( X ), ! person( X ), ! property1( X, honest, pos ), ! property1
% 0.43/1.06 ( X, industrious, pos ) }.
% 0.43/1.06 { person( X ), alpha3( X ) }.
% 0.43/1.06 { property1( X, honest, pos ), alpha3( X ) }.
% 0.43/1.06 { property1( X, industrious, pos ), alpha3( X ) }.
% 0.43/1.06
% 0.43/1.06 percentage equality = 0.144928, percentage horn = 0.689655
% 0.43/1.06 This is a problem with some equality
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 Options Used:
% 0.43/1.06
% 0.43/1.06 useres = 1
% 0.43/1.06 useparamod = 1
% 0.43/1.06 useeqrefl = 1
% 0.43/1.06 useeqfact = 1
% 0.43/1.06 usefactor = 1
% 0.43/1.06 usesimpsplitting = 0
% 0.43/1.06 usesimpdemod = 5
% 0.43/1.06 usesimpres = 3
% 0.43/1.06
% 0.43/1.06 resimpinuse = 1000
% 0.43/1.06 resimpclauses = 20000
% 0.43/1.06 substype = eqrewr
% 0.43/1.06 backwardsubs = 1
% 0.43/1.06 selectoldest = 5
% 0.43/1.06
% 0.43/1.06 litorderings [0] = split
% 0.43/1.06 litorderings [1] = extend the termordering, first sorting on arguments
% 0.43/1.06
% 0.43/1.06 termordering = kbo
% 0.43/1.06
% 0.43/1.06 litapriori = 0
% 0.43/1.06 termapriori = 1
% 0.43/1.06 litaposteriori = 0
% 0.43/1.06 termaposteriori = 0
% 0.43/1.06 demodaposteriori = 0
% 0.43/1.06 ordereqreflfact = 0
% 0.43/1.06
% 0.43/1.06 litselect = negord
% 0.43/1.06
% 0.43/1.06 maxweight = 15
% 0.43/1.06 maxdepth = 30000
% 0.43/1.06 maxlength = 115
% 0.43/1.06 maxnrvars = 195
% 0.43/1.06 excuselevel = 1
% 0.43/1.06 increasemaxweight = 1
% 0.43/1.06
% 0.43/1.06 maxselected = 10000000
% 0.43/1.06 maxnrclauses = 10000000
% 0.43/1.06
% 0.43/1.06 showgenerated = 0
% 0.43/1.06 showkept = 0
% 0.43/1.06 showselected = 0
% 0.43/1.06 showdeleted = 0
% 0.43/1.06 showresimp = 1
% 0.43/1.06 showstatus = 2000
% 0.43/1.06
% 0.43/1.06 prologoutput = 0
% 0.43/1.06 nrgoals = 5000000
% 0.43/1.06 totalproof = 1
% 0.43/1.06
% 0.43/1.06 Symbols occurring in the translation:
% 0.43/1.06
% 0.43/1.06 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.43/1.06 . [1, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.43/1.06 ! [4, 1] (w:0, o:42, a:1, s:1, b:0),
% 0.43/1.06 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.06 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.06 person [36, 1] (w:1, o:47, a:1, s:1, b:0),
% 0.43/1.06 honest [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.43/1.06 pos [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.43/1.06 property1 [39, 3] (w:1, o:82, a:1, s:1, b:0),
% 0.43/1.06 industrious [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.43/1.06 healthy [42, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.43/1.06 grocer [44, 1] (w:1, o:48, a:1, s:1, b:0),
% 0.43/1.06 cyclist [49, 1] (w:1, o:49, a:1, s:1, b:0),
% 0.43/1.06 unhealthy [52, 0] (w:1, o:19, a:1, s:1, b:0),
% 0.43/1.06 dishonest [54, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.43/1.06 alpha1 [65, 0] (w:1, o:32, a:1, s:1, b:1),
% 0.43/1.06 alpha2 [66, 0] (w:1, o:33, a:1, s:1, b:1),
% 0.43/1.06 alpha3 [67, 1] (w:1, o:50, a:1, s:1, b:1),
% 0.43/1.06 alpha4 [68, 0] (w:1, o:34, a:1, s:1, b:1),
% 0.43/1.06 alpha5 [69, 1] (w:1, o:51, a:1, s:1, b:1),
% 0.43/1.06 alpha6 [70, 0] (w:1, o:35, a:1, s:1, b:1),
% 0.43/1.06 skol1 [71, 1] (w:1, o:52, a:1, s:1, b:1),
% 0.43/1.06 skol2 [72, 1] (w:1, o:53, a:1, s:1, b:1),
% 0.43/1.06 skol3 [73, 1] (w:1, o:54, a:1, s:1, b:1),
% 0.43/1.06 skol4 [74, 1] (w:1, o:55, a:1, s:1, b:1),
% 0.43/1.06 skol5 [75, 1] (w:1, o:56, a:1, s:1, b:1),
% 0.43/1.06 skol6 [76, 1] (w:1, o:57, a:1, s:1, b:1),
% 0.43/1.06 skol7 [77, 0] (w:1, o:36, a:1, s:1, b:1),
% 0.43/1.06 skol8 [78, 0] (w:1, o:37, a:1, s:1, b:1),
% 0.43/1.06 skol9 [79, 0] (w:1, o:38, a:1, s:1, b:1),
% 0.43/1.06 skol10 [80, 0] (w:1, o:39, a:1, s:1, b:1),
% 0.43/1.06 skol11 [81, 0] (w:1, o:40, a:1, s:1, b:1),
% 0.43/1.06 skol12 [82, 0] (w:1, o:41, a:1, s:1, b:1).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 Starting Search:
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 Bliksems!, er is een bewijs:
% 0.43/1.06 % SZS status Theorem
% 0.43/1.06 % SZS output start Refutation
% 0.43/1.06
% 0.43/1.06 (0) {G0,W1,D1,L1,V0,M1} I { alpha1 }.
% 0.43/1.06 (1) {G0,W9,D2,L3,V2,M3} I { ! grocer( X ), ! property1( Y, healthy, pos ),
% 0.43/1.06 ! X = Y }.
% 0.43/1.06 (2) {G0,W1,D1,L1,V0,M1} I { alpha2 }.
% 0.43/1.06 (3) {G0,W1,D1,L1,V0,M1} I { alpha4 }.
% 0.43/1.06 (8) {G0,W1,D1,L1,V0,M1} I { alpha6 }.
% 0.43/1.06 (11) {G0,W2,D2,L1,V0,M1} I { grocer( skol11 ) }.
% 0.43/1.06 (12) {G0,W2,D2,L1,V0,M1} I { cyclist( skol12 ) }.
% 0.43/1.06 (13) {G0,W3,D2,L1,V0,M1} I { skol12 ==> skol11 }.
% 0.43/1.06 (14) {G1,W5,D3,L2,V2,M2} I;r(8) { ! grocer( X ), person( skol2( Y ) ) }.
% 0.43/1.06 (15) {G1,W6,D3,L2,V1,M2} I;r(8) { ! grocer( X ), skol2( X ) ==> X }.
% 0.43/1.06 (16) {G1,W7,D3,L2,V2,M2} I;r(3) { ! cyclist( X ), property1( skol3( Y ),
% 0.43/1.06 industrious, pos ) }.
% 0.43/1.06 (17) {G1,W6,D3,L2,V1,M2} I;r(3) { ! cyclist( X ), skol3( X ) ==> X }.
% 0.43/1.06 (18) {G1,W7,D3,L2,V2,M2} I;r(2) { alpha5( X ), property1( skol4( Y ),
% 0.43/1.06 honest, pos ) }.
% 0.43/1.06 (19) {G1,W6,D3,L2,V1,M2} I;r(2) { alpha5( X ), skol4( X ) ==> X }.
% 0.43/1.06 (20) {G0,W8,D2,L3,V1,M3} I { ! alpha5( X ), ! grocer( X ), ! property1( X,
% 0.43/1.06 industrious, pos ) }.
% 0.43/1.06 (21) {G0,W4,D2,L2,V1,M2} I { grocer( X ), alpha5( X ) }.
% 0.43/1.06 (23) {G1,W7,D3,L2,V2,M2} I;r(0) { alpha3( X ), property1( skol5( Y ),
% 0.43/1.06 healthy, pos ) }.
% 0.43/1.06 (24) {G1,W6,D3,L2,V1,M2} I;r(0) { alpha3( X ), skol5( X ) ==> X }.
% 0.43/1.06 (25) {G0,W12,D2,L4,V1,M4} I { ! alpha3( X ), ! person( X ), ! property1( X
% 0.43/1.06 , honest, pos ), ! property1( X, industrious, pos ) }.
% 0.43/1.06 (29) {G1,W6,D2,L2,V1,M2} Q(1) { ! grocer( X ), ! property1( X, healthy, pos
% 0.43/1.06 ) }.
% 0.43/1.06 (32) {G1,W2,D2,L1,V0,M1} S(12);d(13) { cyclist( skol11 ) }.
% 0.43/1.06 (39) {G2,W3,D3,L1,V1,M1} R(14,11) { person( skol2( X ) ) }.
% 0.43/1.06 (59) {G2,W4,D3,L1,V0,M1} R(17,32) { skol3( skol11 ) ==> skol11 }.
% 0.43/1.06 (71) {G3,W4,D2,L2,V1,M2} P(15,39) { person( X ), ! grocer( X ) }.
% 0.43/1.06 (77) {G2,W5,D3,L1,V1,M1} R(16,32) { property1( skol3( X ), industrious, pos
% 0.43/1.06 ) }.
% 0.43/1.06 (81) {G3,W4,D2,L1,V0,M1} P(59,77) { property1( skol11, industrious, pos )
% 0.43/1.06 }.
% 0.43/1.06 (83) {G2,W8,D2,L3,V2,M3} P(19,18) { alpha5( Y ), property1( X, honest, pos
% 0.43/1.06 ), alpha5( X ) }.
% 0.43/1.06 (84) {G3,W6,D2,L2,V1,M2} F(83) { alpha5( X ), property1( X, honest, pos )
% 0.43/1.06 }.
% 0.43/1.06 (90) {G2,W5,D3,L2,V2,M2} R(23,29) { alpha3( X ), ! grocer( skol5( Y ) ) }.
% 0.43/1.06 (98) {G4,W10,D2,L3,V1,M3} R(20,84) { ! grocer( X ), ! property1( X,
% 0.43/1.06 industrious, pos ), property1( X, honest, pos ) }.
% 0.43/1.06 (117) {G5,W8,D2,L3,V1,M3} R(25,71);r(98) { ! alpha3( X ), ! property1( X,
% 0.43/1.06 industrious, pos ), ! grocer( X ) }.
% 0.43/1.06 (126) {G3,W6,D2,L3,V2,M3} P(24,90) { alpha3( Y ), ! grocer( X ), alpha3( X
% 0.43/1.06 ) }.
% 0.43/1.06 (127) {G4,W4,D2,L2,V1,M2} F(126) { alpha3( X ), ! grocer( X ) }.
% 0.43/1.06 (129) {G5,W4,D2,L2,V1,M2} R(127,21) { alpha3( X ), alpha5( X ) }.
% 0.43/1.06 (134) {G6,W6,D2,L2,V1,M2} R(129,20);r(117) { ! grocer( X ), ! property1( X
% 0.43/1.06 , industrious, pos ) }.
% 0.43/1.06 (137) {G7,W0,D0,L0,V0,M0} R(134,81);r(11) { }.
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 % SZS output end Refutation
% 0.43/1.06 found a proof!
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 Unprocessed initial clauses:
% 0.43/1.06
% 0.43/1.06 (139) {G0,W1,D1,L1,V0,M1} { alpha1 }.
% 0.43/1.06 (140) {G0,W9,D2,L3,V2,M3} { ! grocer( X ), ! property1( Y, healthy, pos )
% 0.43/1.06 , ! X = Y }.
% 0.43/1.06 (141) {G0,W1,D1,L1,V0,M1} { alpha2 }.
% 0.43/1.06 (142) {G0,W1,D1,L1,V0,M1} { alpha4 }.
% 0.43/1.06 (143) {G0,W11,D3,L3,V2,M3} { ! cyclist( X ), ! property1( X, unhealthy,
% 0.43/1.06 pos ), property1( skol1( Y ), dishonest, pos ) }.
% 0.43/1.06 (144) {G0,W10,D3,L3,V1,M3} { ! cyclist( X ), ! property1( X, unhealthy,
% 0.43/1.06 pos ), X = skol1( X ) }.
% 0.43/1.06 (145) {G0,W13,D2,L4,V2,M4} { ! person( X ), ! property1( X, healthy, pos )
% 0.43/1.06 , ! property1( Y, unhealthy, pos ), ! X = Y }.
% 0.43/1.06 (146) {G0,W13,D2,L4,V2,M4} { ! person( X ), ! property1( X, honest, pos )
% 0.43/1.06 , ! property1( Y, dishonest, pos ), ! X = Y }.
% 0.43/1.06 (147) {G0,W1,D1,L1,V0,M1} { alpha6 }.
% 0.43/1.06 (148) {G0,W5,D3,L2,V2,M2} { ! cyclist( X ), person( skol6( Y ) ) }.
% 0.43/1.06 (149) {G0,W6,D3,L2,V1,M2} { ! cyclist( X ), X = skol6( X ) }.
% 0.43/1.06 (150) {G0,W2,D2,L1,V0,M1} { grocer( skol11 ) }.
% 0.43/1.06 (151) {G0,W2,D2,L1,V0,M1} { cyclist( skol12 ) }.
% 0.43/1.06 (152) {G0,W3,D2,L1,V0,M1} { skol11 = skol12 }.
% 0.43/1.06 (153) {G0,W6,D3,L3,V2,M3} { ! alpha6, ! grocer( X ), person( skol2( Y ) )
% 0.43/1.06 }.
% 0.43/1.06 (154) {G0,W7,D3,L3,V1,M3} { ! alpha6, ! grocer( X ), X = skol2( X ) }.
% 0.43/1.06 (155) {G0,W3,D2,L2,V0,M2} { grocer( skol7 ), alpha6 }.
% 0.43/1.06 (156) {G0,W6,D2,L3,V1,M3} { ! person( X ), ! skol7 = X, alpha6 }.
% 0.43/1.06 (157) {G0,W8,D3,L3,V2,M3} { ! alpha4, ! cyclist( X ), property1( skol3( Y
% 0.43/1.06 ), industrious, pos ) }.
% 0.43/1.06 (158) {G0,W7,D3,L3,V1,M3} { ! alpha4, ! cyclist( X ), X = skol3( X ) }.
% 0.43/1.06 (159) {G0,W3,D2,L2,V0,M2} { cyclist( skol8 ), alpha4 }.
% 0.43/1.06 (160) {G0,W8,D2,L3,V1,M3} { ! property1( X, industrious, pos ), ! skol8 =
% 0.43/1.06 X, alpha4 }.
% 0.43/1.06 (161) {G0,W8,D3,L3,V2,M3} { ! alpha2, alpha5( X ), property1( skol4( Y ),
% 0.43/1.06 honest, pos ) }.
% 0.43/1.06 (162) {G0,W7,D3,L3,V1,M3} { ! alpha2, alpha5( X ), X = skol4( X ) }.
% 0.43/1.06 (163) {G0,W3,D2,L2,V0,M2} { ! alpha5( skol9 ), alpha2 }.
% 0.43/1.06 (164) {G0,W8,D2,L3,V1,M3} { ! property1( X, honest, pos ), ! skol9 = X,
% 0.43/1.06 alpha2 }.
% 0.43/1.06 (165) {G0,W8,D2,L3,V1,M3} { ! alpha5( X ), ! grocer( X ), ! property1( X,
% 0.43/1.06 industrious, pos ) }.
% 0.43/1.06 (166) {G0,W4,D2,L2,V1,M2} { grocer( X ), alpha5( X ) }.
% 0.43/1.06 (167) {G0,W6,D2,L2,V1,M2} { property1( X, industrious, pos ), alpha5( X )
% 0.43/1.06 }.
% 0.43/1.06 (168) {G0,W8,D3,L3,V2,M3} { ! alpha1, alpha3( X ), property1( skol5( Y ),
% 0.43/1.06 healthy, pos ) }.
% 0.43/1.06 (169) {G0,W7,D3,L3,V1,M3} { ! alpha1, alpha3( X ), X = skol5( X ) }.
% 0.43/1.06 (170) {G0,W3,D2,L2,V0,M2} { ! alpha3( skol10 ), alpha1 }.
% 0.43/1.06 (171) {G0,W8,D2,L3,V1,M3} { ! property1( X, healthy, pos ), ! skol10 = X,
% 0.43/1.06 alpha1 }.
% 0.43/1.06 (172) {G0,W12,D2,L4,V1,M4} { ! alpha3( X ), ! person( X ), ! property1( X
% 0.43/1.06 , honest, pos ), ! property1( X, industrious, pos ) }.
% 0.43/1.06 (173) {G0,W4,D2,L2,V1,M2} { person( X ), alpha3( X ) }.
% 0.43/1.06 (174) {G0,W6,D2,L2,V1,M2} { property1( X, honest, pos ), alpha3( X ) }.
% 0.43/1.06 (175) {G0,W6,D2,L2,V1,M2} { property1( X, industrious, pos ), alpha3( X )
% 0.43/1.06 }.
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 Total Proof:
% 0.43/1.06
% 0.43/1.06 subsumption: (0) {G0,W1,D1,L1,V0,M1} I { alpha1 }.
% 0.43/1.06 parent0: (139) {G0,W1,D1,L1,V0,M1} { alpha1 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (1) {G0,W9,D2,L3,V2,M3} I { ! grocer( X ), ! property1( Y,
% 0.43/1.06 healthy, pos ), ! X = Y }.
% 0.43/1.06 parent0: (140) {G0,W9,D2,L3,V2,M3} { ! grocer( X ), ! property1( Y,
% 0.43/1.06 healthy, pos ), ! X = Y }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 Y := Y
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 1 ==> 1
% 0.43/1.06 2 ==> 2
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (2) {G0,W1,D1,L1,V0,M1} I { alpha2 }.
% 0.43/1.06 parent0: (141) {G0,W1,D1,L1,V0,M1} { alpha2 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (3) {G0,W1,D1,L1,V0,M1} I { alpha4 }.
% 0.43/1.06 parent0: (142) {G0,W1,D1,L1,V0,M1} { alpha4 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (8) {G0,W1,D1,L1,V0,M1} I { alpha6 }.
% 0.43/1.06 parent0: (147) {G0,W1,D1,L1,V0,M1} { alpha6 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (11) {G0,W2,D2,L1,V0,M1} I { grocer( skol11 ) }.
% 0.43/1.06 parent0: (150) {G0,W2,D2,L1,V0,M1} { grocer( skol11 ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (12) {G0,W2,D2,L1,V0,M1} I { cyclist( skol12 ) }.
% 0.43/1.06 parent0: (151) {G0,W2,D2,L1,V0,M1} { cyclist( skol12 ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 eqswap: (198) {G0,W3,D2,L1,V0,M1} { skol12 = skol11 }.
% 0.43/1.06 parent0[0]: (152) {G0,W3,D2,L1,V0,M1} { skol11 = skol12 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (13) {G0,W3,D2,L1,V0,M1} I { skol12 ==> skol11 }.
% 0.43/1.06 parent0: (198) {G0,W3,D2,L1,V0,M1} { skol12 = skol11 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (205) {G1,W5,D3,L2,V2,M2} { ! grocer( X ), person( skol2( Y )
% 0.43/1.06 ) }.
% 0.43/1.06 parent0[0]: (153) {G0,W6,D3,L3,V2,M3} { ! alpha6, ! grocer( X ), person(
% 0.43/1.06 skol2( Y ) ) }.
% 0.43/1.06 parent1[0]: (8) {G0,W1,D1,L1,V0,M1} I { alpha6 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 Y := Y
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (14) {G1,W5,D3,L2,V2,M2} I;r(8) { ! grocer( X ), person( skol2
% 0.43/1.06 ( Y ) ) }.
% 0.43/1.06 parent0: (205) {G1,W5,D3,L2,V2,M2} { ! grocer( X ), person( skol2( Y ) )
% 0.43/1.06 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 Y := Y
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 1 ==> 1
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (214) {G1,W6,D3,L2,V1,M2} { ! grocer( X ), X = skol2( X ) }.
% 0.43/1.06 parent0[0]: (154) {G0,W7,D3,L3,V1,M3} { ! alpha6, ! grocer( X ), X = skol2
% 0.43/1.06 ( X ) }.
% 0.43/1.06 parent1[0]: (8) {G0,W1,D1,L1,V0,M1} I { alpha6 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 eqswap: (215) {G1,W6,D3,L2,V1,M2} { skol2( X ) = X, ! grocer( X ) }.
% 0.43/1.06 parent0[1]: (214) {G1,W6,D3,L2,V1,M2} { ! grocer( X ), X = skol2( X ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (15) {G1,W6,D3,L2,V1,M2} I;r(8) { ! grocer( X ), skol2( X )
% 0.43/1.06 ==> X }.
% 0.43/1.06 parent0: (215) {G1,W6,D3,L2,V1,M2} { skol2( X ) = X, ! grocer( X ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 1
% 0.43/1.06 1 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (224) {G1,W7,D3,L2,V2,M2} { ! cyclist( X ), property1( skol3(
% 0.43/1.06 Y ), industrious, pos ) }.
% 0.43/1.06 parent0[0]: (157) {G0,W8,D3,L3,V2,M3} { ! alpha4, ! cyclist( X ),
% 0.43/1.06 property1( skol3( Y ), industrious, pos ) }.
% 0.43/1.06 parent1[0]: (3) {G0,W1,D1,L1,V0,M1} I { alpha4 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 Y := Y
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (16) {G1,W7,D3,L2,V2,M2} I;r(3) { ! cyclist( X ), property1(
% 0.43/1.06 skol3( Y ), industrious, pos ) }.
% 0.43/1.06 parent0: (224) {G1,W7,D3,L2,V2,M2} { ! cyclist( X ), property1( skol3( Y )
% 0.43/1.06 , industrious, pos ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 Y := Y
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 1 ==> 1
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (235) {G1,W6,D3,L2,V1,M2} { ! cyclist( X ), X = skol3( X ) }.
% 0.43/1.06 parent0[0]: (158) {G0,W7,D3,L3,V1,M3} { ! alpha4, ! cyclist( X ), X =
% 0.43/1.06 skol3( X ) }.
% 0.43/1.06 parent1[0]: (3) {G0,W1,D1,L1,V0,M1} I { alpha4 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 eqswap: (236) {G1,W6,D3,L2,V1,M2} { skol3( X ) = X, ! cyclist( X ) }.
% 0.43/1.06 parent0[1]: (235) {G1,W6,D3,L2,V1,M2} { ! cyclist( X ), X = skol3( X ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (17) {G1,W6,D3,L2,V1,M2} I;r(3) { ! cyclist( X ), skol3( X )
% 0.43/1.06 ==> X }.
% 0.43/1.06 parent0: (236) {G1,W6,D3,L2,V1,M2} { skol3( X ) = X, ! cyclist( X ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 1
% 0.43/1.06 1 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (247) {G1,W7,D3,L2,V2,M2} { alpha5( X ), property1( skol4( Y )
% 0.43/1.06 , honest, pos ) }.
% 0.43/1.06 parent0[0]: (161) {G0,W8,D3,L3,V2,M3} { ! alpha2, alpha5( X ), property1(
% 0.43/1.06 skol4( Y ), honest, pos ) }.
% 0.43/1.06 parent1[0]: (2) {G0,W1,D1,L1,V0,M1} I { alpha2 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 Y := Y
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (18) {G1,W7,D3,L2,V2,M2} I;r(2) { alpha5( X ), property1(
% 0.43/1.06 skol4( Y ), honest, pos ) }.
% 0.43/1.06 parent0: (247) {G1,W7,D3,L2,V2,M2} { alpha5( X ), property1( skol4( Y ),
% 0.43/1.06 honest, pos ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 Y := Y
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 1 ==> 1
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (260) {G1,W6,D3,L2,V1,M2} { alpha5( X ), X = skol4( X ) }.
% 0.43/1.06 parent0[0]: (162) {G0,W7,D3,L3,V1,M3} { ! alpha2, alpha5( X ), X = skol4(
% 0.43/1.06 X ) }.
% 0.43/1.06 parent1[0]: (2) {G0,W1,D1,L1,V0,M1} I { alpha2 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 eqswap: (261) {G1,W6,D3,L2,V1,M2} { skol4( X ) = X, alpha5( X ) }.
% 0.43/1.06 parent0[1]: (260) {G1,W6,D3,L2,V1,M2} { alpha5( X ), X = skol4( X ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (19) {G1,W6,D3,L2,V1,M2} I;r(2) { alpha5( X ), skol4( X ) ==>
% 0.43/1.06 X }.
% 0.43/1.06 parent0: (261) {G1,W6,D3,L2,V1,M2} { skol4( X ) = X, alpha5( X ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 1
% 0.43/1.06 1 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (20) {G0,W8,D2,L3,V1,M3} I { ! alpha5( X ), ! grocer( X ), !
% 0.43/1.06 property1( X, industrious, pos ) }.
% 0.43/1.06 parent0: (165) {G0,W8,D2,L3,V1,M3} { ! alpha5( X ), ! grocer( X ), !
% 0.43/1.06 property1( X, industrious, pos ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 1 ==> 1
% 0.43/1.06 2 ==> 2
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (21) {G0,W4,D2,L2,V1,M2} I { grocer( X ), alpha5( X ) }.
% 0.43/1.06 parent0: (166) {G0,W4,D2,L2,V1,M2} { grocer( X ), alpha5( X ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 1 ==> 1
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 *** allocated 15000 integers for clauses
% 0.43/1.06 resolution: (298) {G1,W7,D3,L2,V2,M2} { alpha3( X ), property1( skol5( Y )
% 0.43/1.06 , healthy, pos ) }.
% 0.43/1.06 parent0[0]: (168) {G0,W8,D3,L3,V2,M3} { ! alpha1, alpha3( X ), property1(
% 0.43/1.06 skol5( Y ), healthy, pos ) }.
% 0.43/1.06 parent1[0]: (0) {G0,W1,D1,L1,V0,M1} I { alpha1 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 Y := Y
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (23) {G1,W7,D3,L2,V2,M2} I;r(0) { alpha3( X ), property1(
% 0.43/1.06 skol5( Y ), healthy, pos ) }.
% 0.43/1.06 parent0: (298) {G1,W7,D3,L2,V2,M2} { alpha3( X ), property1( skol5( Y ),
% 0.43/1.06 healthy, pos ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 Y := Y
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 1 ==> 1
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (313) {G1,W6,D3,L2,V1,M2} { alpha3( X ), X = skol5( X ) }.
% 0.43/1.06 parent0[0]: (169) {G0,W7,D3,L3,V1,M3} { ! alpha1, alpha3( X ), X = skol5(
% 0.43/1.06 X ) }.
% 0.43/1.06 parent1[0]: (0) {G0,W1,D1,L1,V0,M1} I { alpha1 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 eqswap: (314) {G1,W6,D3,L2,V1,M2} { skol5( X ) = X, alpha3( X ) }.
% 0.43/1.06 parent0[1]: (313) {G1,W6,D3,L2,V1,M2} { alpha3( X ), X = skol5( X ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (24) {G1,W6,D3,L2,V1,M2} I;r(0) { alpha3( X ), skol5( X ) ==>
% 0.43/1.06 X }.
% 0.43/1.06 parent0: (314) {G1,W6,D3,L2,V1,M2} { skol5( X ) = X, alpha3( X ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 1
% 0.43/1.06 1 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (25) {G0,W12,D2,L4,V1,M4} I { ! alpha3( X ), ! person( X ), !
% 0.43/1.06 property1( X, honest, pos ), ! property1( X, industrious, pos ) }.
% 0.43/1.06 parent0: (172) {G0,W12,D2,L4,V1,M4} { ! alpha3( X ), ! person( X ), !
% 0.43/1.06 property1( X, honest, pos ), ! property1( X, industrious, pos ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 1 ==> 1
% 0.43/1.06 2 ==> 2
% 0.43/1.06 3 ==> 3
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 eqswap: (329) {G0,W9,D2,L3,V2,M3} { ! Y = X, ! grocer( X ), ! property1( Y
% 0.43/1.06 , healthy, pos ) }.
% 0.43/1.06 parent0[2]: (1) {G0,W9,D2,L3,V2,M3} I { ! grocer( X ), ! property1( Y,
% 0.43/1.06 healthy, pos ), ! X = Y }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 Y := Y
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 eqrefl: (330) {G0,W6,D2,L2,V1,M2} { ! grocer( X ), ! property1( X, healthy
% 0.43/1.06 , pos ) }.
% 0.43/1.06 parent0[0]: (329) {G0,W9,D2,L3,V2,M3} { ! Y = X, ! grocer( X ), !
% 0.43/1.06 property1( Y, healthy, pos ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 Y := X
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (29) {G1,W6,D2,L2,V1,M2} Q(1) { ! grocer( X ), ! property1( X
% 0.43/1.06 , healthy, pos ) }.
% 0.43/1.06 parent0: (330) {G0,W6,D2,L2,V1,M2} { ! grocer( X ), ! property1( X,
% 0.43/1.06 healthy, pos ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 1 ==> 1
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 paramod: (332) {G1,W2,D2,L1,V0,M1} { cyclist( skol11 ) }.
% 0.43/1.06 parent0[0]: (13) {G0,W3,D2,L1,V0,M1} I { skol12 ==> skol11 }.
% 0.43/1.06 parent1[0; 1]: (12) {G0,W2,D2,L1,V0,M1} I { cyclist( skol12 ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (32) {G1,W2,D2,L1,V0,M1} S(12);d(13) { cyclist( skol11 ) }.
% 0.43/1.06 parent0: (332) {G1,W2,D2,L1,V0,M1} { cyclist( skol11 ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (333) {G1,W3,D3,L1,V1,M1} { person( skol2( X ) ) }.
% 0.43/1.06 parent0[0]: (14) {G1,W5,D3,L2,V2,M2} I;r(8) { ! grocer( X ), person( skol2
% 0.43/1.06 ( Y ) ) }.
% 0.43/1.06 parent1[0]: (11) {G0,W2,D2,L1,V0,M1} I { grocer( skol11 ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := skol11
% 0.43/1.06 Y := X
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (39) {G2,W3,D3,L1,V1,M1} R(14,11) { person( skol2( X ) ) }.
% 0.43/1.06 parent0: (333) {G1,W3,D3,L1,V1,M1} { person( skol2( X ) ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 eqswap: (334) {G1,W6,D3,L2,V1,M2} { X ==> skol3( X ), ! cyclist( X ) }.
% 0.43/1.06 parent0[1]: (17) {G1,W6,D3,L2,V1,M2} I;r(3) { ! cyclist( X ), skol3( X )
% 0.43/1.06 ==> X }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (335) {G2,W4,D3,L1,V0,M1} { skol11 ==> skol3( skol11 ) }.
% 0.43/1.06 parent0[1]: (334) {G1,W6,D3,L2,V1,M2} { X ==> skol3( X ), ! cyclist( X )
% 0.43/1.06 }.
% 0.43/1.06 parent1[0]: (32) {G1,W2,D2,L1,V0,M1} S(12);d(13) { cyclist( skol11 ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := skol11
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 eqswap: (336) {G2,W4,D3,L1,V0,M1} { skol3( skol11 ) ==> skol11 }.
% 0.43/1.06 parent0[0]: (335) {G2,W4,D3,L1,V0,M1} { skol11 ==> skol3( skol11 ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (59) {G2,W4,D3,L1,V0,M1} R(17,32) { skol3( skol11 ) ==> skol11
% 0.43/1.06 }.
% 0.43/1.06 parent0: (336) {G2,W4,D3,L1,V0,M1} { skol3( skol11 ) ==> skol11 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 paramod: (338) {G2,W4,D2,L2,V1,M2} { person( X ), ! grocer( X ) }.
% 0.43/1.06 parent0[1]: (15) {G1,W6,D3,L2,V1,M2} I;r(8) { ! grocer( X ), skol2( X ) ==>
% 0.43/1.06 X }.
% 0.43/1.06 parent1[0; 1]: (39) {G2,W3,D3,L1,V1,M1} R(14,11) { person( skol2( X ) ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.07 X := X
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 subsumption: (71) {G3,W4,D2,L2,V1,M2} P(15,39) { person( X ), ! grocer( X )
% 0.43/1.07 }.
% 0.43/1.07 parent0: (338) {G2,W4,D2,L2,V1,M2} { person( X ), ! grocer( X ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := X
% 0.43/1.07 end
% 0.43/1.07 permutation0:
% 0.43/1.07 0 ==> 0
% 0.43/1.07 1 ==> 1
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 resolution: (339) {G2,W5,D3,L1,V1,M1} { property1( skol3( X ), industrious
% 0.43/1.07 , pos ) }.
% 0.43/1.07 parent0[0]: (16) {G1,W7,D3,L2,V2,M2} I;r(3) { ! cyclist( X ), property1(
% 0.43/1.07 skol3( Y ), industrious, pos ) }.
% 0.43/1.07 parent1[0]: (32) {G1,W2,D2,L1,V0,M1} S(12);d(13) { cyclist( skol11 ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := skol11
% 0.43/1.07 Y := X
% 0.43/1.07 end
% 0.43/1.07 substitution1:
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 subsumption: (77) {G2,W5,D3,L1,V1,M1} R(16,32) { property1( skol3( X ),
% 0.43/1.07 industrious, pos ) }.
% 0.43/1.07 parent0: (339) {G2,W5,D3,L1,V1,M1} { property1( skol3( X ), industrious,
% 0.43/1.07 pos ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := X
% 0.43/1.07 end
% 0.43/1.07 permutation0:
% 0.43/1.07 0 ==> 0
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 paramod: (341) {G3,W4,D2,L1,V0,M1} { property1( skol11, industrious, pos )
% 0.43/1.07 }.
% 0.43/1.07 parent0[0]: (59) {G2,W4,D3,L1,V0,M1} R(17,32) { skol3( skol11 ) ==> skol11
% 0.43/1.07 }.
% 0.43/1.07 parent1[0; 1]: (77) {G2,W5,D3,L1,V1,M1} R(16,32) { property1( skol3( X ),
% 0.43/1.07 industrious, pos ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 end
% 0.43/1.07 substitution1:
% 0.43/1.07 X := skol11
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 subsumption: (81) {G3,W4,D2,L1,V0,M1} P(59,77) { property1( skol11,
% 0.43/1.07 industrious, pos ) }.
% 0.43/1.07 parent0: (341) {G3,W4,D2,L1,V0,M1} { property1( skol11, industrious, pos )
% 0.43/1.07 }.
% 0.43/1.07 substitution0:
% 0.43/1.07 end
% 0.43/1.07 permutation0:
% 0.43/1.07 0 ==> 0
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 paramod: (343) {G2,W8,D2,L3,V2,M3} { property1( X, honest, pos ), alpha5(
% 0.43/1.07 X ), alpha5( Y ) }.
% 0.43/1.07 parent0[1]: (19) {G1,W6,D3,L2,V1,M2} I;r(2) { alpha5( X ), skol4( X ) ==> X
% 0.43/1.07 }.
% 0.43/1.07 parent1[1; 1]: (18) {G1,W7,D3,L2,V2,M2} I;r(2) { alpha5( X ), property1(
% 0.43/1.07 skol4( Y ), honest, pos ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := X
% 0.43/1.07 end
% 0.43/1.07 substitution1:
% 0.43/1.07 X := Y
% 0.43/1.07 Y := X
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 subsumption: (83) {G2,W8,D2,L3,V2,M3} P(19,18) { alpha5( Y ), property1( X
% 0.43/1.07 , honest, pos ), alpha5( X ) }.
% 0.43/1.07 parent0: (343) {G2,W8,D2,L3,V2,M3} { property1( X, honest, pos ), alpha5(
% 0.43/1.07 X ), alpha5( Y ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := X
% 0.43/1.07 Y := Y
% 0.43/1.07 end
% 0.43/1.07 permutation0:
% 0.43/1.07 0 ==> 1
% 0.43/1.07 1 ==> 2
% 0.43/1.07 2 ==> 0
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 factor: (345) {G2,W6,D2,L2,V1,M2} { alpha5( X ), property1( X, honest, pos
% 0.43/1.07 ) }.
% 0.43/1.07 parent0[0, 2]: (83) {G2,W8,D2,L3,V2,M3} P(19,18) { alpha5( Y ), property1(
% 0.43/1.07 X, honest, pos ), alpha5( X ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := X
% 0.43/1.07 Y := X
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 subsumption: (84) {G3,W6,D2,L2,V1,M2} F(83) { alpha5( X ), property1( X,
% 0.43/1.07 honest, pos ) }.
% 0.43/1.07 parent0: (345) {G2,W6,D2,L2,V1,M2} { alpha5( X ), property1( X, honest,
% 0.43/1.07 pos ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := X
% 0.43/1.07 end
% 0.43/1.07 permutation0:
% 0.43/1.07 0 ==> 0
% 0.43/1.07 1 ==> 1
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 resolution: (346) {G2,W5,D3,L2,V2,M2} { ! grocer( skol5( X ) ), alpha3( Y
% 0.43/1.07 ) }.
% 0.43/1.07 parent0[1]: (29) {G1,W6,D2,L2,V1,M2} Q(1) { ! grocer( X ), ! property1( X,
% 0.43/1.07 healthy, pos ) }.
% 0.43/1.07 parent1[1]: (23) {G1,W7,D3,L2,V2,M2} I;r(0) { alpha3( X ), property1( skol5
% 0.43/1.07 ( Y ), healthy, pos ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := skol5( X )
% 0.43/1.07 end
% 0.43/1.07 substitution1:
% 0.43/1.07 X := Y
% 0.43/1.07 Y := X
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 subsumption: (90) {G2,W5,D3,L2,V2,M2} R(23,29) { alpha3( X ), ! grocer(
% 0.43/1.07 skol5( Y ) ) }.
% 0.43/1.07 parent0: (346) {G2,W5,D3,L2,V2,M2} { ! grocer( skol5( X ) ), alpha3( Y )
% 0.43/1.07 }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := Y
% 0.43/1.07 Y := X
% 0.43/1.07 end
% 0.43/1.07 permutation0:
% 0.43/1.07 0 ==> 1
% 0.43/1.07 1 ==> 0
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 resolution: (347) {G1,W10,D2,L3,V1,M3} { ! grocer( X ), ! property1( X,
% 0.43/1.07 industrious, pos ), property1( X, honest, pos ) }.
% 0.43/1.07 parent0[0]: (20) {G0,W8,D2,L3,V1,M3} I { ! alpha5( X ), ! grocer( X ), !
% 0.43/1.07 property1( X, industrious, pos ) }.
% 0.43/1.07 parent1[0]: (84) {G3,W6,D2,L2,V1,M2} F(83) { alpha5( X ), property1( X,
% 0.43/1.07 honest, pos ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := X
% 0.43/1.07 end
% 0.43/1.07 substitution1:
% 0.43/1.07 X := X
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 subsumption: (98) {G4,W10,D2,L3,V1,M3} R(20,84) { ! grocer( X ), !
% 0.43/1.07 property1( X, industrious, pos ), property1( X, honest, pos ) }.
% 0.43/1.07 parent0: (347) {G1,W10,D2,L3,V1,M3} { ! grocer( X ), ! property1( X,
% 0.43/1.07 industrious, pos ), property1( X, honest, pos ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := X
% 0.43/1.07 end
% 0.43/1.07 permutation0:
% 0.43/1.07 0 ==> 0
% 0.43/1.07 1 ==> 1
% 0.43/1.07 2 ==> 2
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 resolution: (348) {G1,W12,D2,L4,V1,M4} { ! alpha3( X ), ! property1( X,
% 0.43/1.07 honest, pos ), ! property1( X, industrious, pos ), ! grocer( X ) }.
% 0.43/1.07 parent0[1]: (25) {G0,W12,D2,L4,V1,M4} I { ! alpha3( X ), ! person( X ), !
% 0.43/1.07 property1( X, honest, pos ), ! property1( X, industrious, pos ) }.
% 0.43/1.07 parent1[0]: (71) {G3,W4,D2,L2,V1,M2} P(15,39) { person( X ), ! grocer( X )
% 0.43/1.07 }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := X
% 0.43/1.07 end
% 0.43/1.07 substitution1:
% 0.43/1.07 X := X
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 resolution: (349) {G2,W14,D2,L5,V1,M5} { ! alpha3( X ), ! property1( X,
% 0.43/1.07 industrious, pos ), ! grocer( X ), ! grocer( X ), ! property1( X,
% 0.43/1.07 industrious, pos ) }.
% 0.43/1.07 parent0[1]: (348) {G1,W12,D2,L4,V1,M4} { ! alpha3( X ), ! property1( X,
% 0.43/1.07 honest, pos ), ! property1( X, industrious, pos ), ! grocer( X ) }.
% 0.43/1.07 parent1[2]: (98) {G4,W10,D2,L3,V1,M3} R(20,84) { ! grocer( X ), ! property1
% 0.43/1.07 ( X, industrious, pos ), property1( X, honest, pos ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := X
% 0.43/1.07 end
% 0.43/1.07 substitution1:
% 0.43/1.07 X := X
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 factor: (350) {G2,W10,D2,L4,V1,M4} { ! alpha3( X ), ! property1( X,
% 0.43/1.07 industrious, pos ), ! grocer( X ), ! grocer( X ) }.
% 0.43/1.07 parent0[1, 4]: (349) {G2,W14,D2,L5,V1,M5} { ! alpha3( X ), ! property1( X
% 0.43/1.07 , industrious, pos ), ! grocer( X ), ! grocer( X ), ! property1( X,
% 0.43/1.07 industrious, pos ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := X
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 factor: (351) {G2,W8,D2,L3,V1,M3} { ! alpha3( X ), ! property1( X,
% 0.43/1.07 industrious, pos ), ! grocer( X ) }.
% 0.43/1.07 parent0[2, 3]: (350) {G2,W10,D2,L4,V1,M4} { ! alpha3( X ), ! property1( X
% 0.43/1.07 , industrious, pos ), ! grocer( X ), ! grocer( X ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := X
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 subsumption: (117) {G5,W8,D2,L3,V1,M3} R(25,71);r(98) { ! alpha3( X ), !
% 0.43/1.07 property1( X, industrious, pos ), ! grocer( X ) }.
% 0.43/1.07 parent0: (351) {G2,W8,D2,L3,V1,M3} { ! alpha3( X ), ! property1( X,
% 0.43/1.07 industrious, pos ), ! grocer( X ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := X
% 0.43/1.07 end
% 0.43/1.07 permutation0:
% 0.43/1.07 0 ==> 0
% 0.43/1.07 1 ==> 1
% 0.43/1.07 2 ==> 2
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 paramod: (353) {G2,W6,D2,L3,V2,M3} { ! grocer( X ), alpha3( X ), alpha3( Y
% 0.43/1.07 ) }.
% 0.43/1.07 parent0[1]: (24) {G1,W6,D3,L2,V1,M2} I;r(0) { alpha3( X ), skol5( X ) ==> X
% 0.43/1.07 }.
% 0.43/1.07 parent1[1; 2]: (90) {G2,W5,D3,L2,V2,M2} R(23,29) { alpha3( X ), ! grocer(
% 0.43/1.07 skol5( Y ) ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := X
% 0.43/1.07 end
% 0.43/1.07 substitution1:
% 0.43/1.07 X := Y
% 0.43/1.07 Y := X
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 subsumption: (126) {G3,W6,D2,L3,V2,M3} P(24,90) { alpha3( Y ), ! grocer( X
% 0.43/1.07 ), alpha3( X ) }.
% 0.43/1.07 parent0: (353) {G2,W6,D2,L3,V2,M3} { ! grocer( X ), alpha3( X ), alpha3( Y
% 0.43/1.07 ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := X
% 0.43/1.07 Y := Y
% 0.43/1.07 end
% 0.43/1.07 permutation0:
% 0.43/1.07 0 ==> 1
% 0.43/1.07 1 ==> 2
% 0.43/1.07 2 ==> 0
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 factor: (355) {G3,W4,D2,L2,V1,M2} { alpha3( X ), ! grocer( X ) }.
% 0.43/1.07 parent0[0, 2]: (126) {G3,W6,D2,L3,V2,M3} P(24,90) { alpha3( Y ), ! grocer(
% 0.43/1.07 X ), alpha3( X ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := X
% 0.43/1.07 Y := X
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 subsumption: (127) {G4,W4,D2,L2,V1,M2} F(126) { alpha3( X ), ! grocer( X )
% 0.43/1.07 }.
% 0.43/1.07 parent0: (355) {G3,W4,D2,L2,V1,M2} { alpha3( X ), ! grocer( X ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := X
% 0.43/1.07 end
% 0.43/1.07 permutation0:
% 0.43/1.07 0 ==> 0
% 0.43/1.07 1 ==> 1
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 resolution: (356) {G1,W4,D2,L2,V1,M2} { alpha3( X ), alpha5( X ) }.
% 0.43/1.07 parent0[1]: (127) {G4,W4,D2,L2,V1,M2} F(126) { alpha3( X ), ! grocer( X )
% 0.43/1.07 }.
% 0.43/1.07 parent1[0]: (21) {G0,W4,D2,L2,V1,M2} I { grocer( X ), alpha5( X ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := X
% 0.43/1.07 end
% 0.43/1.07 substitution1:
% 0.43/1.07 X := X
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 subsumption: (129) {G5,W4,D2,L2,V1,M2} R(127,21) { alpha3( X ), alpha5( X )
% 0.43/1.07 }.
% 0.43/1.07 parent0: (356) {G1,W4,D2,L2,V1,M2} { alpha3( X ), alpha5( X ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := X
% 0.43/1.07 end
% 0.43/1.07 permutation0:
% 0.43/1.07 0 ==> 0
% 0.43/1.07 1 ==> 1
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 resolution: (357) {G1,W8,D2,L3,V1,M3} { ! grocer( X ), ! property1( X,
% 0.43/1.07 industrious, pos ), alpha3( X ) }.
% 0.43/1.07 parent0[0]: (20) {G0,W8,D2,L3,V1,M3} I { ! alpha5( X ), ! grocer( X ), !
% 0.43/1.07 property1( X, industrious, pos ) }.
% 0.43/1.07 parent1[1]: (129) {G5,W4,D2,L2,V1,M2} R(127,21) { alpha3( X ), alpha5( X )
% 0.43/1.07 }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := X
% 0.43/1.07 end
% 0.43/1.07 substitution1:
% 0.43/1.07 X := X
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 resolution: (358) {G2,W12,D2,L4,V1,M4} { ! property1( X, industrious, pos
% 0.43/1.07 ), ! grocer( X ), ! grocer( X ), ! property1( X, industrious, pos ) }.
% 0.43/1.07 parent0[0]: (117) {G5,W8,D2,L3,V1,M3} R(25,71);r(98) { ! alpha3( X ), !
% 0.43/1.07 property1( X, industrious, pos ), ! grocer( X ) }.
% 0.43/1.07 parent1[2]: (357) {G1,W8,D2,L3,V1,M3} { ! grocer( X ), ! property1( X,
% 0.43/1.07 industrious, pos ), alpha3( X ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := X
% 0.43/1.07 end
% 0.43/1.07 substitution1:
% 0.43/1.07 X := X
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 factor: (359) {G2,W8,D2,L3,V1,M3} { ! property1( X, industrious, pos ), !
% 0.43/1.07 grocer( X ), ! grocer( X ) }.
% 0.43/1.07 parent0[0, 3]: (358) {G2,W12,D2,L4,V1,M4} { ! property1( X, industrious,
% 0.43/1.07 pos ), ! grocer( X ), ! grocer( X ), ! property1( X, industrious, pos )
% 0.43/1.07 }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := X
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 factor: (360) {G2,W6,D2,L2,V1,M2} { ! property1( X, industrious, pos ), !
% 0.43/1.07 grocer( X ) }.
% 0.43/1.07 parent0[1, 2]: (359) {G2,W8,D2,L3,V1,M3} { ! property1( X, industrious,
% 0.43/1.07 pos ), ! grocer( X ), ! grocer( X ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := X
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 subsumption: (134) {G6,W6,D2,L2,V1,M2} R(129,20);r(117) { ! grocer( X ), !
% 0.43/1.07 property1( X, industrious, pos ) }.
% 0.43/1.07 parent0: (360) {G2,W6,D2,L2,V1,M2} { ! property1( X, industrious, pos ), !
% 0.43/1.07 grocer( X ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := X
% 0.43/1.07 end
% 0.43/1.07 permutation0:
% 0.43/1.07 0 ==> 1
% 0.43/1.07 1 ==> 0
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 resolution: (361) {G4,W2,D2,L1,V0,M1} { ! grocer( skol11 ) }.
% 0.43/1.07 parent0[1]: (134) {G6,W6,D2,L2,V1,M2} R(129,20);r(117) { ! grocer( X ), !
% 0.43/1.07 property1( X, industrious, pos ) }.
% 0.43/1.07 parent1[0]: (81) {G3,W4,D2,L1,V0,M1} P(59,77) { property1( skol11,
% 0.43/1.07 industrious, pos ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := skol11
% 0.43/1.07 end
% 0.43/1.07 substitution1:
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 resolution: (362) {G1,W0,D0,L0,V0,M0} { }.
% 0.43/1.07 parent0[0]: (361) {G4,W2,D2,L1,V0,M1} { ! grocer( skol11 ) }.
% 0.43/1.07 parent1[0]: (11) {G0,W2,D2,L1,V0,M1} I { grocer( skol11 ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 end
% 0.43/1.07 substitution1:
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 subsumption: (137) {G7,W0,D0,L0,V0,M0} R(134,81);r(11) { }.
% 0.43/1.07 parent0: (362) {G1,W0,D0,L0,V0,M0} { }.
% 0.43/1.07 substitution0:
% 0.43/1.07 end
% 0.43/1.07 permutation0:
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 Proof check complete!
% 0.43/1.07
% 0.43/1.07 Memory use:
% 0.43/1.07
% 0.43/1.07 space for terms: 1880
% 0.43/1.07 space for clauses: 6715
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 clauses generated: 248
% 0.43/1.07 clauses kept: 138
% 0.43/1.07 clauses selected: 61
% 0.43/1.07 clauses deleted: 3
% 0.43/1.07 clauses inuse deleted: 0
% 0.43/1.07
% 0.43/1.07 subsentry: 733
% 0.43/1.07 literals s-matched: 483
% 0.43/1.07 literals matched: 483
% 0.43/1.07 full subsumption: 5
% 0.43/1.07
% 0.43/1.07 checksum: 917266516
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Bliksem ended
%------------------------------------------------------------------------------