TSTP Solution File: KRS082+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : KRS082+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : Sun Jul 17 02:42:10 EDT 2022
% Result : Unsatisfiable 1.40s 1.81s
% Output : Refutation 1.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : KRS082+1 : TPTP v8.1.0. Released v3.1.0.
% 0.08/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Tue Jun 7 18:31:20 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.40/1.80 *** allocated 10000 integers for termspace/termends
% 1.40/1.80 *** allocated 10000 integers for clauses
% 1.40/1.80 *** allocated 10000 integers for justifications
% 1.40/1.80 Bliksem 1.12
% 1.40/1.80
% 1.40/1.80
% 1.40/1.80 Automatic Strategy Selection
% 1.40/1.80
% 1.40/1.80
% 1.40/1.80 Clauses:
% 1.40/1.80
% 1.40/1.80 { cowlThing( X ) }.
% 1.40/1.80 { ! cowlNothing( X ) }.
% 1.40/1.80 { ! xsd_string( X ), ! xsd_integer( X ) }.
% 1.40/1.80 { xsd_integer( X ), xsd_string( X ) }.
% 1.40/1.80 { ! cUnsatisfiable( X ), ! rp( skol1( Y ), Z ), ! rr( Z, T ), cc( T ) }.
% 1.40/1.80 { ! cUnsatisfiable( X ), alpha6( skol1( Y ) ) }.
% 1.40/1.80 { ! cUnsatisfiable( X ), alpha7( X, skol1( X ) ) }.
% 1.40/1.80 { ! alpha7( X, Y ), alpha9( X, Y ) }.
% 1.40/1.80 { ! alpha7( X, Y ), alpha5( Y ) }.
% 1.40/1.80 { ! alpha9( X, Y ), ! alpha5( Y ), alpha7( X, Y ) }.
% 1.40/1.80 { ! alpha9( X, Y ), alpha10( X, Y ) }.
% 1.40/1.80 { ! alpha9( X, Y ), alpha4( Y ) }.
% 1.40/1.80 { ! alpha10( X, Y ), ! alpha4( Y ), alpha9( X, Y ) }.
% 1.40/1.80 { ! alpha10( X, Y ), rs( X, Y ) }.
% 1.40/1.80 { ! alpha10( X, Y ), alpha3( Y ) }.
% 1.40/1.80 { ! alpha10( X, Y ), alpha8( Y ) }.
% 1.40/1.80 { ! rs( X, Y ), ! alpha3( Y ), ! alpha8( Y ), alpha10( X, Y ) }.
% 1.40/1.80 { ! alpha8( X ), ! rr( X, Y ), cc( Y ) }.
% 1.40/1.80 { ! cc( skol2( Y ) ), alpha8( X ) }.
% 1.40/1.80 { rr( X, skol2( X ) ), alpha8( X ) }.
% 1.40/1.80 { ! alpha6( X ), cowlThing( skol3( Y ) ) }.
% 1.40/1.80 { ! alpha6( X ), rr( X, skol3( X ) ) }.
% 1.40/1.80 { ! rr( X, Y ), ! cowlThing( Y ), alpha6( X ) }.
% 1.40/1.80 { ! alpha5( X ), ! rp( X, Y ), cowlThing( skol4( Z ) ) }.
% 1.40/1.80 { ! alpha5( X ), ! rp( X, Y ), rp( Y, skol4( Y ) ) }.
% 1.40/1.80 { ! rp( skol10( Y ), Z ), ! cowlThing( Z ), alpha5( X ) }.
% 1.40/1.80 { rp( X, skol10( X ) ), alpha5( X ) }.
% 1.40/1.80 { ! alpha4( X ), ! rp( X, Y ), cowlThing( skol5( Z ) ) }.
% 1.40/1.80 { ! alpha4( X ), ! rp( X, Y ), rr( Y, skol5( Y ) ) }.
% 1.40/1.80 { ! rr( skol11( Y ), Z ), ! cowlThing( Z ), alpha4( X ) }.
% 1.40/1.80 { rp( X, skol11( X ) ), alpha4( X ) }.
% 1.40/1.80 { ! alpha3( X ), cowlThing( skol6( Y ) ) }.
% 1.40/1.80 { ! alpha3( X ), rp( X, skol6( X ) ) }.
% 1.40/1.80 { ! rp( X, Y ), ! cowlThing( Y ), alpha3( X ) }.
% 1.40/1.80 { ! cUnsatisfiable( X ), ca( X ) }.
% 1.40/1.80 { ! cc( X ), ! rinvR( X, Y ), alpha1( Y ) }.
% 1.40/1.80 { ! alpha1( skol7( Y ) ), cc( X ) }.
% 1.40/1.80 { rinvR( X, skol7( X ) ), cc( X ) }.
% 1.40/1.80 { ! alpha1( X ), ! rinvP( X, Y ), alpha2( Y ) }.
% 1.40/1.80 { ! alpha2( skol8( Y ) ), alpha1( X ) }.
% 1.40/1.80 { rinvP( X, skol8( X ) ), alpha1( X ) }.
% 1.40/1.80 { ! alpha2( X ), ! rinvS( X, Y ), ! ca( Y ) }.
% 1.40/1.80 { ca( skol9( Y ) ), alpha2( X ) }.
% 1.40/1.80 { rinvS( X, skol9( X ) ), alpha2( X ) }.
% 1.40/1.80 { ! rinvP( X, Y ), rp( Y, X ) }.
% 1.40/1.80 { ! rp( Y, X ), rinvP( X, Y ) }.
% 1.40/1.80 { ! rinvR( X, Y ), rr( Y, X ) }.
% 1.40/1.80 { ! rr( Y, X ), rinvR( X, Y ) }.
% 1.40/1.80 { ! rinvS( X, Y ), rs( Y, X ) }.
% 1.40/1.80 { ! rs( Y, X ), rinvS( X, Y ) }.
% 1.40/1.80 { ! rp( X, Z ), ! rp( Z, Y ), rp( X, Y ) }.
% 1.40/1.80 { cUnsatisfiable( i2003_11_14_17_19_28752 ) }.
% 1.40/1.80
% 1.40/1.80 percentage equality = 0.000000, percentage horn = 0.833333
% 1.40/1.80 This a non-horn, non-equality problem
% 1.40/1.80
% 1.40/1.80
% 1.40/1.80 Options Used:
% 1.40/1.80
% 1.40/1.80 useres = 1
% 1.40/1.80 useparamod = 0
% 1.40/1.80 useeqrefl = 0
% 1.40/1.80 useeqfact = 0
% 1.40/1.80 usefactor = 1
% 1.40/1.80 usesimpsplitting = 0
% 1.40/1.80 usesimpdemod = 0
% 1.40/1.80 usesimpres = 3
% 1.40/1.80
% 1.40/1.80 resimpinuse = 1000
% 1.40/1.80 resimpclauses = 20000
% 1.40/1.80 substype = standard
% 1.40/1.80 backwardsubs = 1
% 1.40/1.80 selectoldest = 5
% 1.40/1.80
% 1.40/1.80 litorderings [0] = split
% 1.40/1.80 litorderings [1] = liftord
% 1.40/1.80
% 1.40/1.80 termordering = none
% 1.40/1.80
% 1.40/1.80 litapriori = 1
% 1.40/1.80 termapriori = 0
% 1.40/1.80 litaposteriori = 0
% 1.40/1.80 termaposteriori = 0
% 1.40/1.80 demodaposteriori = 0
% 1.40/1.80 ordereqreflfact = 0
% 1.40/1.80
% 1.40/1.80 litselect = none
% 1.40/1.80
% 1.40/1.80 maxweight = 15
% 1.40/1.80 maxdepth = 30000
% 1.40/1.80 maxlength = 115
% 1.40/1.80 maxnrvars = 195
% 1.40/1.80 excuselevel = 1
% 1.40/1.80 increasemaxweight = 1
% 1.40/1.80
% 1.40/1.80 maxselected = 10000000
% 1.40/1.80 maxnrclauses = 10000000
% 1.40/1.80
% 1.40/1.80 showgenerated = 0
% 1.40/1.80 showkept = 0
% 1.40/1.80 showselected = 0
% 1.40/1.80 showdeleted = 0
% 1.40/1.80 showresimp = 1
% 1.40/1.80 showstatus = 2000
% 1.40/1.80
% 1.40/1.80 prologoutput = 0
% 1.40/1.80 nrgoals = 5000000
% 1.40/1.80 totalproof = 1
% 1.40/1.80
% 1.40/1.80 Symbols occurring in the translation:
% 1.40/1.80
% 1.40/1.80 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.40/1.80 . [1, 2] (w:1, o:41, a:1, s:1, b:0),
% 1.40/1.80 ! [4, 1] (w:0, o:11, a:1, s:1, b:0),
% 1.40/1.80 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.40/1.80 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.40/1.80 cowlThing [36, 1] (w:1, o:16, a:1, s:1, b:0),
% 1.40/1.80 cowlNothing [37, 1] (w:1, o:17, a:1, s:1, b:0),
% 1.40/1.80 xsd_string [38, 1] (w:1, o:18, a:1, s:1, b:0),
% 1.40/1.80 xsd_integer [39, 1] (w:1, o:19, a:1, s:1, b:0),
% 1.40/1.80 cUnsatisfiable [40, 1] (w:1, o:20, a:1, s:1, b:0),
% 1.40/1.80 rs [42, 2] (w:1, o:66, a:1, s:1, b:0),
% 1.40/1.80 rp [44, 2] (w:1, o:67, a:1, s:1, b:0),
% 1.40/1.80 rr [45, 2] (w:1, o:65, a:1, s:1, b:0),
% 1.40/1.80 cc [46, 1] (w:1, o:21, a:1, s:1, b:0),
% 1.40/1.80 ca [48, 1] (w:1, o:22, a:1, s:1, b:0),
% 1.40/1.80 rinvR [49, 2] (w:1, o:68, a:1, s:1, b:0),
% 1.40/1.80 rinvP [50, 2] (w:1, o:69, a:1, s:1, b:0),
% 1.40/1.80 rinvS [51, 2] (w:1, o:70, a:1, s:1, b:0),
% 1.40/1.80 i2003_11_14_17_19_28752 [52, 0] (w:1, o:10, a:1, s:1, b:0),
% 1.40/1.80 alpha1 [53, 1] (w:1, o:23, a:1, s:1, b:0),
% 1.40/1.80 alpha2 [54, 1] (w:1, o:24, a:1, s:1, b:0),
% 1.40/1.80 alpha3 [55, 1] (w:1, o:25, a:1, s:1, b:0),
% 1.40/1.80 alpha4 [56, 1] (w:1, o:26, a:1, s:1, b:0),
% 1.40/1.80 alpha5 [57, 1] (w:1, o:27, a:1, s:1, b:0),
% 1.40/1.80 alpha6 [58, 1] (w:1, o:28, a:1, s:1, b:0),
% 1.40/1.80 alpha7 [59, 2] (w:1, o:71, a:1, s:1, b:0),
% 1.40/1.80 alpha8 [60, 1] (w:1, o:29, a:1, s:1, b:0),
% 1.40/1.80 alpha9 [61, 2] (w:1, o:72, a:1, s:1, b:0),
% 1.40/1.80 alpha10 [62, 2] (w:1, o:73, a:1, s:1, b:0),
% 1.40/1.80 skol1 [63, 1] (w:1, o:30, a:1, s:1, b:0),
% 1.40/1.80 skol2 [64, 1] (w:1, o:33, a:1, s:1, b:0),
% 1.40/1.80 skol3 [65, 1] (w:1, o:34, a:1, s:1, b:0),
% 1.40/1.80 skol4 [66, 1] (w:1, o:35, a:1, s:1, b:0),
% 1.40/1.80 skol5 [67, 1] (w:1, o:36, a:1, s:1, b:0),
% 1.40/1.80 skol6 [68, 1] (w:1, o:37, a:1, s:1, b:0),
% 1.40/1.80 skol7 [69, 1] (w:1, o:38, a:1, s:1, b:0),
% 1.40/1.80 skol8 [70, 1] (w:1, o:39, a:1, s:1, b:0),
% 1.40/1.80 skol9 [71, 1] (w:1, o:40, a:1, s:1, b:0),
% 1.40/1.80 skol10 [72, 1] (w:1, o:31, a:1, s:1, b:0),
% 1.40/1.80 skol11 [73, 1] (w:1, o:32, a:1, s:1, b:0).
% 1.40/1.80
% 1.40/1.80
% 1.40/1.80 Starting Search:
% 1.40/1.80
% 1.40/1.80 *** allocated 15000 integers for clauses
% 1.40/1.80 *** allocated 22500 integers for clauses
% 1.40/1.80 *** allocated 33750 integers for clauses
% 1.40/1.80 *** allocated 15000 integers for termspace/termends
% 1.40/1.80 *** allocated 50625 integers for clauses
% 1.40/1.80 Resimplifying inuse:
% 1.40/1.80 Done
% 1.40/1.80
% 1.40/1.80 *** allocated 22500 integers for termspace/termends
% 1.40/1.80 *** allocated 75937 integers for clauses
% 1.40/1.80 *** allocated 33750 integers for termspace/termends
% 1.40/1.80 *** allocated 113905 integers for clauses
% 1.40/1.80
% 1.40/1.80 Intermediate Status:
% 1.40/1.80 Generated: 5103
% 1.40/1.80 Kept: 2006
% 1.40/1.80 Inuse: 340
% 1.40/1.80 Deleted: 30
% 1.40/1.80 Deletedinuse: 5
% 1.40/1.80
% 1.40/1.80 Resimplifying inuse:
% 1.40/1.80 Done
% 1.40/1.80
% 1.40/1.80 *** allocated 50625 integers for termspace/termends
% 1.40/1.81 *** allocated 170857 integers for clauses
% 1.40/1.81 Resimplifying inuse:
% 1.40/1.81 Done
% 1.40/1.81
% 1.40/1.81 *** allocated 256285 integers for clauses
% 1.40/1.81 *** allocated 75937 integers for termspace/termends
% 1.40/1.81
% 1.40/1.81 Intermediate Status:
% 1.40/1.81 Generated: 15076
% 1.40/1.81 Kept: 4008
% 1.40/1.81 Inuse: 537
% 1.40/1.81 Deleted: 54
% 1.40/1.81 Deletedinuse: 8
% 1.40/1.81
% 1.40/1.81 Resimplifying inuse:
% 1.40/1.81 Done
% 1.40/1.81
% 1.40/1.81
% 1.40/1.81 Bliksems!, er is een bewijs:
% 1.40/1.81 % SZS status Unsatisfiable
% 1.40/1.81 % SZS output start Refutation
% 1.40/1.81
% 1.40/1.81 (4) {G0,W11,D3,L4,V4,M1} I { ! cUnsatisfiable( X ), ! rr( Z, T ), cc( T ),
% 1.40/1.81 ! rp( skol1( Y ), Z ) }.
% 1.40/1.81 (6) {G0,W6,D3,L2,V1,M1} I { ! cUnsatisfiable( X ), alpha7( X, skol1( X ) )
% 1.40/1.81 }.
% 1.40/1.81 (7) {G0,W6,D2,L2,V2,M1} I { ! alpha7( X, Y ), alpha9( X, Y ) }.
% 1.40/1.81 (10) {G0,W6,D2,L2,V2,M1} I { ! alpha9( X, Y ), alpha10( X, Y ) }.
% 1.40/1.81 (11) {G0,W5,D2,L2,V2,M1} I { alpha4( Y ), ! alpha9( X, Y ) }.
% 1.40/1.81 (13) {G0,W6,D2,L2,V2,M1} I { rs( X, Y ), ! alpha10( X, Y ) }.
% 1.40/1.81 (14) {G0,W5,D2,L2,V2,M1} I { alpha3( Y ), ! alpha10( X, Y ) }.
% 1.40/1.81 (25) {G0,W9,D3,L3,V2,M1} I { ! alpha4( X ), rr( Y, skol5( Y ) ), ! rp( X, Y
% 1.40/1.81 ) }.
% 1.40/1.81 (28) {G0,W6,D3,L2,V1,M1} I { ! alpha3( X ), rp( X, skol6( X ) ) }.
% 1.40/1.81 (30) {G0,W4,D2,L2,V1,M1} I { ! cUnsatisfiable( X ), ca( X ) }.
% 1.40/1.81 (31) {G0,W7,D2,L3,V2,M1} I { ! cc( X ), alpha1( Y ), ! rinvR( X, Y ) }.
% 1.40/1.81 (34) {G0,W7,D2,L3,V2,M1} I { ! alpha1( X ), alpha2( Y ), ! rinvP( X, Y )
% 1.40/1.81 }.
% 1.40/1.81 (37) {G0,W7,D2,L3,V2,M1} I { ! alpha2( X ), ! ca( Y ), ! rinvS( X, Y ) }.
% 1.40/1.81 (41) {G0,W6,D2,L2,V2,M1} I { ! rp( Y, X ), rinvP( X, Y ) }.
% 1.40/1.81 (43) {G0,W6,D2,L2,V2,M1} I { ! rr( Y, X ), rinvR( X, Y ) }.
% 1.40/1.81 (45) {G0,W6,D2,L2,V2,M1} I { ! rs( Y, X ), rinvS( X, Y ) }.
% 1.40/1.81 (47) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( i2003_11_14_17_19_28752 ) }.
% 1.40/1.81 (51) {G1,W5,D2,L2,V2,M1} R(7,11) { alpha4( Y ), ! alpha7( X, Y ) }.
% 1.40/1.81 (52) {G2,W5,D3,L2,V1,M1} R(51,6) { ! cUnsatisfiable( X ), alpha4( skol1( X
% 1.40/1.81 ) ) }.
% 1.40/1.81 (53) {G1,W6,D2,L2,V2,M1} R(10,13) { rs( X, Y ), ! alpha9( X, Y ) }.
% 1.40/1.81 (54) {G1,W5,D2,L2,V2,M1} R(10,14) { alpha3( Y ), ! alpha9( X, Y ) }.
% 1.40/1.81 (56) {G2,W5,D2,L2,V2,M1} R(54,7) { alpha3( X ), ! alpha7( Y, X ) }.
% 1.40/1.81 (57) {G3,W5,D3,L2,V1,M1} R(56,6) { ! cUnsatisfiable( X ), alpha3( skol1( X
% 1.40/1.81 ) ) }.
% 1.40/1.81 (61) {G2,W6,D2,L2,V2,M1} R(53,7) { rs( X, Y ), ! alpha7( X, Y ) }.
% 1.40/1.81 (62) {G3,W6,D3,L2,V1,M1} R(61,6) { ! cUnsatisfiable( X ), rs( X, skol1( X )
% 1.40/1.81 ) }.
% 1.40/1.81 (82) {G1,W12,D4,L4,V3,M1} R(28,4) { ! cUnsatisfiable( Y ), ! alpha3( skol1
% 1.40/1.81 ( X ) ), cc( Z ), ! rr( skol6( skol1( X ) ), Z ) }.
% 1.40/1.81 (88) {G1,W10,D4,L3,V1,M1} R(25,28) { ! alpha4( X ), ! alpha3( X ), rr(
% 1.40/1.81 skol6( X ), skol5( skol6( X ) ) ) }.
% 1.40/1.81 (99) {G1,W7,D2,L3,V2,M1} R(31,43) { ! cc( X ), alpha1( Y ), ! rr( Y, X )
% 1.40/1.81 }.
% 1.40/1.81 (101) {G1,W7,D2,L3,V2,M1} R(37,45) { ! ca( Y ), ! alpha2( X ), ! rs( Y, X )
% 1.40/1.81 }.
% 1.40/1.81 (102) {G4,W5,D3,L2,V1,M1} R(101,62);r(30) { ! cUnsatisfiable( X ), ! alpha2
% 1.40/1.81 ( skol1( X ) ) }.
% 1.40/1.81 (104) {G1,W7,D2,L3,V2,M1} R(34,41) { ! alpha1( X ), alpha2( Y ), ! rp( Y, X
% 1.40/1.81 ) }.
% 1.40/1.81 (107) {G2,W7,D3,L3,V1,M1} R(104,28) { ! alpha1( skol6( X ) ), alpha2( X ),
% 1.40/1.81 ! alpha3( X ) }.
% 1.40/1.81 (127) {G5,W6,D4,L2,V1,M1} R(107,57);r(102) { ! cUnsatisfiable( X ), !
% 1.40/1.81 alpha1( skol6( skol1( X ) ) ) }.
% 1.40/1.81 (371) {G2,W13,D5,L4,V2,M1} R(88,82);f { ! alpha3( skol1( X ) ), !
% 1.40/1.81 cUnsatisfiable( Y ), cc( skol5( skol6( skol1( X ) ) ) ), ! alpha4( skol1
% 1.40/1.81 ( X ) ) }.
% 1.40/1.81 (372) {G2,W11,D4,L4,V1,M1} R(88,99) { ! alpha3( X ), ! cc( skol5( skol6( X
% 1.40/1.81 ) ) ), alpha1( skol6( X ) ), ! alpha4( X ) }.
% 1.40/1.81 (4217) {G4,W11,D5,L3,V1,M1} R(372,52);r(57) { ! cc( skol5( skol6( skol1( X
% 1.40/1.81 ) ) ) ), ! cUnsatisfiable( X ), alpha1( skol6( skol1( X ) ) ) }.
% 1.40/1.81 (4302) {G6,W7,D5,L2,V1,M1} S(4217);r(127) { ! cUnsatisfiable( X ), ! cc(
% 1.40/1.81 skol5( skol6( skol1( X ) ) ) ) }.
% 1.40/1.81 (5006) {G4,W9,D5,L3,V2,M1} R(371,52);r(57) { ! cUnsatisfiable( Y ), !
% 1.40/1.81 cUnsatisfiable( X ), cc( skol5( skol6( skol1( X ) ) ) ) }.
% 1.40/1.81 (5007) {G7,W2,D2,L1,V1,M1} F(5006);r(4302) { ! cUnsatisfiable( X ) }.
% 1.40/1.81 (5008) {G8,W0,D0,L0,V0,M0} R(5007,47) { }.
% 1.40/1.81
% 1.40/1.81
% 1.40/1.81 % SZS output end Refutation
% 1.40/1.81 found a proof!
% 1.40/1.81
% 1.40/1.81
% 1.40/1.81 Unprocessed initial clauses:
% 1.40/1.81
% 1.40/1.81 (5010) {G0,W2,D2,L1,V1,M1} { cowlThing( X ) }.
% 1.40/1.81 (5011) {G0,W2,D2,L1,V1,M1} { ! cowlNothing( X ) }.
% 1.40/1.81 (5012) {G0,W4,D2,L2,V1,M2} { ! xsd_string( X ), ! xsd_integer( X ) }.
% 1.40/1.81 (5013) {G0,W4,D2,L2,V1,M2} { xsd_integer( X ), xsd_string( X ) }.
% 1.40/1.81 (5014) {G0,W11,D3,L4,V4,M4} { ! cUnsatisfiable( X ), ! rp( skol1( Y ), Z )
% 1.40/1.81 , ! rr( Z, T ), cc( T ) }.
% 1.40/1.81 (5015) {G0,W5,D3,L2,V2,M2} { ! cUnsatisfiable( X ), alpha6( skol1( Y ) )
% 1.40/1.81 }.
% 1.40/1.81 (5016) {G0,W6,D3,L2,V1,M2} { ! cUnsatisfiable( X ), alpha7( X, skol1( X )
% 1.40/1.81 ) }.
% 1.40/1.81 (5017) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), alpha9( X, Y ) }.
% 1.40/1.81 (5018) {G0,W5,D2,L2,V2,M2} { ! alpha7( X, Y ), alpha5( Y ) }.
% 1.40/1.81 (5019) {G0,W8,D2,L3,V2,M3} { ! alpha9( X, Y ), ! alpha5( Y ), alpha7( X, Y
% 1.40/1.81 ) }.
% 1.40/1.81 (5020) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), alpha10( X, Y ) }.
% 1.40/1.81 (5021) {G0,W5,D2,L2,V2,M2} { ! alpha9( X, Y ), alpha4( Y ) }.
% 1.40/1.81 (5022) {G0,W8,D2,L3,V2,M3} { ! alpha10( X, Y ), ! alpha4( Y ), alpha9( X,
% 1.40/1.81 Y ) }.
% 1.40/1.81 (5023) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), rs( X, Y ) }.
% 1.40/1.81 (5024) {G0,W5,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha3( Y ) }.
% 1.40/1.81 (5025) {G0,W5,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha8( Y ) }.
% 1.40/1.81 (5026) {G0,W10,D2,L4,V2,M4} { ! rs( X, Y ), ! alpha3( Y ), ! alpha8( Y ),
% 1.40/1.81 alpha10( X, Y ) }.
% 1.40/1.81 (5027) {G0,W7,D2,L3,V2,M3} { ! alpha8( X ), ! rr( X, Y ), cc( Y ) }.
% 1.40/1.81 (5028) {G0,W5,D3,L2,V2,M2} { ! cc( skol2( Y ) ), alpha8( X ) }.
% 1.40/1.81 (5029) {G0,W6,D3,L2,V1,M2} { rr( X, skol2( X ) ), alpha8( X ) }.
% 1.40/1.81 (5030) {G0,W5,D3,L2,V2,M2} { ! alpha6( X ), cowlThing( skol3( Y ) ) }.
% 1.40/1.81 (5031) {G0,W6,D3,L2,V1,M2} { ! alpha6( X ), rr( X, skol3( X ) ) }.
% 1.40/1.81 (5032) {G0,W7,D2,L3,V2,M3} { ! rr( X, Y ), ! cowlThing( Y ), alpha6( X )
% 1.40/1.81 }.
% 1.40/1.81 (5033) {G0,W8,D3,L3,V3,M3} { ! alpha5( X ), ! rp( X, Y ), cowlThing( skol4
% 1.40/1.81 ( Z ) ) }.
% 1.40/1.81 (5034) {G0,W9,D3,L3,V2,M3} { ! alpha5( X ), ! rp( X, Y ), rp( Y, skol4( Y
% 1.40/1.81 ) ) }.
% 1.40/1.81 (5035) {G0,W8,D3,L3,V3,M3} { ! rp( skol10( Y ), Z ), ! cowlThing( Z ),
% 1.40/1.81 alpha5( X ) }.
% 1.40/1.81 (5036) {G0,W6,D3,L2,V1,M2} { rp( X, skol10( X ) ), alpha5( X ) }.
% 1.40/1.81 (5037) {G0,W8,D3,L3,V3,M3} { ! alpha4( X ), ! rp( X, Y ), cowlThing( skol5
% 1.40/1.81 ( Z ) ) }.
% 1.40/1.81 (5038) {G0,W9,D3,L3,V2,M3} { ! alpha4( X ), ! rp( X, Y ), rr( Y, skol5( Y
% 1.40/1.81 ) ) }.
% 1.40/1.81 (5039) {G0,W8,D3,L3,V3,M3} { ! rr( skol11( Y ), Z ), ! cowlThing( Z ),
% 1.40/1.81 alpha4( X ) }.
% 1.40/1.81 (5040) {G0,W6,D3,L2,V1,M2} { rp( X, skol11( X ) ), alpha4( X ) }.
% 1.40/1.81 (5041) {G0,W5,D3,L2,V2,M2} { ! alpha3( X ), cowlThing( skol6( Y ) ) }.
% 1.40/1.81 (5042) {G0,W6,D3,L2,V1,M2} { ! alpha3( X ), rp( X, skol6( X ) ) }.
% 1.40/1.81 (5043) {G0,W7,D2,L3,V2,M3} { ! rp( X, Y ), ! cowlThing( Y ), alpha3( X )
% 1.40/1.81 }.
% 1.40/1.81 (5044) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), ca( X ) }.
% 1.40/1.81 (5045) {G0,W7,D2,L3,V2,M3} { ! cc( X ), ! rinvR( X, Y ), alpha1( Y ) }.
% 1.40/1.81 (5046) {G0,W5,D3,L2,V2,M2} { ! alpha1( skol7( Y ) ), cc( X ) }.
% 1.40/1.81 (5047) {G0,W6,D3,L2,V1,M2} { rinvR( X, skol7( X ) ), cc( X ) }.
% 1.40/1.81 (5048) {G0,W7,D2,L3,V2,M3} { ! alpha1( X ), ! rinvP( X, Y ), alpha2( Y )
% 1.40/1.81 }.
% 1.40/1.81 (5049) {G0,W5,D3,L2,V2,M2} { ! alpha2( skol8( Y ) ), alpha1( X ) }.
% 1.40/1.81 (5050) {G0,W6,D3,L2,V1,M2} { rinvP( X, skol8( X ) ), alpha1( X ) }.
% 1.40/1.81 (5051) {G0,W7,D2,L3,V2,M3} { ! alpha2( X ), ! rinvS( X, Y ), ! ca( Y ) }.
% 1.40/1.81 (5052) {G0,W5,D3,L2,V2,M2} { ca( skol9( Y ) ), alpha2( X ) }.
% 1.40/1.81 (5053) {G0,W6,D3,L2,V1,M2} { rinvS( X, skol9( X ) ), alpha2( X ) }.
% 1.40/1.81 (5054) {G0,W6,D2,L2,V2,M2} { ! rinvP( X, Y ), rp( Y, X ) }.
% 1.40/1.81 (5055) {G0,W6,D2,L2,V2,M2} { ! rp( Y, X ), rinvP( X, Y ) }.
% 1.40/1.81 (5056) {G0,W6,D2,L2,V2,M2} { ! rinvR( X, Y ), rr( Y, X ) }.
% 1.40/1.81 (5057) {G0,W6,D2,L2,V2,M2} { ! rr( Y, X ), rinvR( X, Y ) }.
% 1.40/1.81 (5058) {G0,W6,D2,L2,V2,M2} { ! rinvS( X, Y ), rs( Y, X ) }.
% 1.40/1.81 (5059) {G0,W6,D2,L2,V2,M2} { ! rs( Y, X ), rinvS( X, Y ) }.
% 1.40/1.81 (5060) {G0,W9,D2,L3,V3,M3} { ! rp( X, Z ), ! rp( Z, Y ), rp( X, Y ) }.
% 1.40/1.81 (5061) {G0,W2,D2,L1,V0,M1} { cUnsatisfiable( i2003_11_14_17_19_28752 ) }.
% 1.40/1.81
% 1.40/1.81
% 1.40/1.81 Total Proof:
% 1.40/1.81
% 1.40/1.81 subsumption: (4) {G0,W11,D3,L4,V4,M1} I { ! cUnsatisfiable( X ), ! rr( Z, T
% 1.40/1.81 ), cc( T ), ! rp( skol1( Y ), Z ) }.
% 1.40/1.81 parent0: (5014) {G0,W11,D3,L4,V4,M4} { ! cUnsatisfiable( X ), ! rp( skol1
% 1.40/1.81 ( Y ), Z ), ! rr( Z, T ), cc( T ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 Y := Y
% 1.40/1.81 Z := Z
% 1.40/1.81 T := T
% 1.40/1.81 end
% 1.40/1.81 permutation0:
% 1.40/1.81 0 ==> 0
% 1.40/1.81 1 ==> 3
% 1.40/1.81 2 ==> 1
% 1.40/1.81 3 ==> 2
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 subsumption: (6) {G0,W6,D3,L2,V1,M1} I { ! cUnsatisfiable( X ), alpha7( X,
% 1.40/1.81 skol1( X ) ) }.
% 1.40/1.81 parent0: (5016) {G0,W6,D3,L2,V1,M2} { ! cUnsatisfiable( X ), alpha7( X,
% 1.40/1.81 skol1( X ) ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 end
% 1.40/1.81 permutation0:
% 1.40/1.81 0 ==> 0
% 1.40/1.81 1 ==> 1
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 subsumption: (7) {G0,W6,D2,L2,V2,M1} I { ! alpha7( X, Y ), alpha9( X, Y )
% 1.40/1.81 }.
% 1.40/1.81 parent0: (5017) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), alpha9( X, Y ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 Y := Y
% 1.40/1.81 end
% 1.40/1.81 permutation0:
% 1.40/1.81 0 ==> 0
% 1.40/1.81 1 ==> 1
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 subsumption: (10) {G0,W6,D2,L2,V2,M1} I { ! alpha9( X, Y ), alpha10( X, Y )
% 1.40/1.81 }.
% 1.40/1.81 parent0: (5020) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), alpha10( X, Y )
% 1.40/1.81 }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 Y := Y
% 1.40/1.81 end
% 1.40/1.81 permutation0:
% 1.40/1.81 0 ==> 0
% 1.40/1.81 1 ==> 1
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 subsumption: (11) {G0,W5,D2,L2,V2,M1} I { alpha4( Y ), ! alpha9( X, Y ) }.
% 1.40/1.81 parent0: (5021) {G0,W5,D2,L2,V2,M2} { ! alpha9( X, Y ), alpha4( Y ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 Y := Y
% 1.40/1.81 end
% 1.40/1.81 permutation0:
% 1.40/1.81 0 ==> 1
% 1.40/1.81 1 ==> 0
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 subsumption: (13) {G0,W6,D2,L2,V2,M1} I { rs( X, Y ), ! alpha10( X, Y ) }.
% 1.40/1.81 parent0: (5023) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), rs( X, Y ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 Y := Y
% 1.40/1.81 end
% 1.40/1.81 permutation0:
% 1.40/1.81 0 ==> 1
% 1.40/1.81 1 ==> 0
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 subsumption: (14) {G0,W5,D2,L2,V2,M1} I { alpha3( Y ), ! alpha10( X, Y )
% 1.40/1.81 }.
% 1.40/1.81 parent0: (5024) {G0,W5,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha3( Y ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 Y := Y
% 1.40/1.81 end
% 1.40/1.81 permutation0:
% 1.40/1.81 0 ==> 1
% 1.40/1.81 1 ==> 0
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 subsumption: (25) {G0,W9,D3,L3,V2,M1} I { ! alpha4( X ), rr( Y, skol5( Y )
% 1.40/1.81 ), ! rp( X, Y ) }.
% 1.40/1.81 parent0: (5038) {G0,W9,D3,L3,V2,M3} { ! alpha4( X ), ! rp( X, Y ), rr( Y,
% 1.40/1.81 skol5( Y ) ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 Y := Y
% 1.40/1.81 end
% 1.40/1.81 permutation0:
% 1.40/1.81 0 ==> 0
% 1.40/1.81 1 ==> 2
% 1.40/1.81 2 ==> 1
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 subsumption: (28) {G0,W6,D3,L2,V1,M1} I { ! alpha3( X ), rp( X, skol6( X )
% 1.40/1.81 ) }.
% 1.40/1.81 parent0: (5042) {G0,W6,D3,L2,V1,M2} { ! alpha3( X ), rp( X, skol6( X ) )
% 1.40/1.81 }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 end
% 1.40/1.81 permutation0:
% 1.40/1.81 0 ==> 0
% 1.40/1.81 1 ==> 1
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 subsumption: (30) {G0,W4,D2,L2,V1,M1} I { ! cUnsatisfiable( X ), ca( X )
% 1.40/1.81 }.
% 1.40/1.81 parent0: (5044) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), ca( X ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 end
% 1.40/1.81 permutation0:
% 1.40/1.81 0 ==> 0
% 1.40/1.81 1 ==> 1
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 subsumption: (31) {G0,W7,D2,L3,V2,M1} I { ! cc( X ), alpha1( Y ), ! rinvR(
% 1.40/1.81 X, Y ) }.
% 1.40/1.81 parent0: (5045) {G0,W7,D2,L3,V2,M3} { ! cc( X ), ! rinvR( X, Y ), alpha1(
% 1.40/1.81 Y ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 Y := Y
% 1.40/1.81 end
% 1.40/1.81 permutation0:
% 1.40/1.81 0 ==> 0
% 1.40/1.81 1 ==> 2
% 1.40/1.81 2 ==> 1
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 subsumption: (34) {G0,W7,D2,L3,V2,M1} I { ! alpha1( X ), alpha2( Y ), !
% 1.40/1.81 rinvP( X, Y ) }.
% 1.40/1.81 parent0: (5048) {G0,W7,D2,L3,V2,M3} { ! alpha1( X ), ! rinvP( X, Y ),
% 1.40/1.81 alpha2( Y ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 Y := Y
% 1.40/1.81 end
% 1.40/1.81 permutation0:
% 1.40/1.81 0 ==> 0
% 1.40/1.81 1 ==> 2
% 1.40/1.81 2 ==> 1
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 subsumption: (37) {G0,W7,D2,L3,V2,M1} I { ! alpha2( X ), ! ca( Y ), ! rinvS
% 1.40/1.81 ( X, Y ) }.
% 1.40/1.81 parent0: (5051) {G0,W7,D2,L3,V2,M3} { ! alpha2( X ), ! rinvS( X, Y ), ! ca
% 1.40/1.81 ( Y ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 Y := Y
% 1.40/1.81 end
% 1.40/1.81 permutation0:
% 1.40/1.81 0 ==> 0
% 1.40/1.81 1 ==> 2
% 1.40/1.81 2 ==> 1
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 subsumption: (41) {G0,W6,D2,L2,V2,M1} I { ! rp( Y, X ), rinvP( X, Y ) }.
% 1.40/1.81 parent0: (5055) {G0,W6,D2,L2,V2,M2} { ! rp( Y, X ), rinvP( X, Y ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 Y := Y
% 1.40/1.81 end
% 1.40/1.81 permutation0:
% 1.40/1.81 0 ==> 0
% 1.40/1.81 1 ==> 1
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 subsumption: (43) {G0,W6,D2,L2,V2,M1} I { ! rr( Y, X ), rinvR( X, Y ) }.
% 1.40/1.81 parent0: (5057) {G0,W6,D2,L2,V2,M2} { ! rr( Y, X ), rinvR( X, Y ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 Y := Y
% 1.40/1.81 end
% 1.40/1.81 permutation0:
% 1.40/1.81 0 ==> 0
% 1.40/1.81 1 ==> 1
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 subsumption: (45) {G0,W6,D2,L2,V2,M1} I { ! rs( Y, X ), rinvS( X, Y ) }.
% 1.40/1.81 parent0: (5059) {G0,W6,D2,L2,V2,M2} { ! rs( Y, X ), rinvS( X, Y ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 Y := Y
% 1.40/1.81 end
% 1.40/1.81 permutation0:
% 1.40/1.81 0 ==> 0
% 1.40/1.81 1 ==> 1
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 subsumption: (47) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 1.40/1.81 i2003_11_14_17_19_28752 ) }.
% 1.40/1.81 parent0: (5061) {G0,W2,D2,L1,V0,M1} { cUnsatisfiable(
% 1.40/1.81 i2003_11_14_17_19_28752 ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 end
% 1.40/1.81 permutation0:
% 1.40/1.81 0 ==> 0
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 resolution: (5063) {G1,W5,D2,L2,V2,M2} { alpha4( X ), ! alpha7( Y, X ) }.
% 1.40/1.81 parent0[1]: (11) {G0,W5,D2,L2,V2,M1} I { alpha4( Y ), ! alpha9( X, Y ) }.
% 1.40/1.81 parent1[1]: (7) {G0,W6,D2,L2,V2,M1} I { ! alpha7( X, Y ), alpha9( X, Y )
% 1.40/1.81 }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := Y
% 1.40/1.81 Y := X
% 1.40/1.81 end
% 1.40/1.81 substitution1:
% 1.40/1.81 X := Y
% 1.40/1.81 Y := X
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 subsumption: (51) {G1,W5,D2,L2,V2,M1} R(7,11) { alpha4( Y ), ! alpha7( X, Y
% 1.40/1.81 ) }.
% 1.40/1.81 parent0: (5063) {G1,W5,D2,L2,V2,M2} { alpha4( X ), ! alpha7( Y, X ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := Y
% 1.40/1.81 Y := X
% 1.40/1.81 end
% 1.40/1.81 permutation0:
% 1.40/1.81 0 ==> 0
% 1.40/1.81 1 ==> 1
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 resolution: (5064) {G1,W5,D3,L2,V1,M2} { alpha4( skol1( X ) ), !
% 1.40/1.81 cUnsatisfiable( X ) }.
% 1.40/1.81 parent0[1]: (51) {G1,W5,D2,L2,V2,M1} R(7,11) { alpha4( Y ), ! alpha7( X, Y
% 1.40/1.81 ) }.
% 1.40/1.81 parent1[1]: (6) {G0,W6,D3,L2,V1,M1} I { ! cUnsatisfiable( X ), alpha7( X,
% 1.40/1.81 skol1( X ) ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 Y := skol1( X )
% 1.40/1.81 end
% 1.40/1.81 substitution1:
% 1.40/1.81 X := X
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 subsumption: (52) {G2,W5,D3,L2,V1,M1} R(51,6) { ! cUnsatisfiable( X ),
% 1.40/1.81 alpha4( skol1( X ) ) }.
% 1.40/1.81 parent0: (5064) {G1,W5,D3,L2,V1,M2} { alpha4( skol1( X ) ), !
% 1.40/1.81 cUnsatisfiable( X ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 end
% 1.40/1.81 permutation0:
% 1.40/1.81 0 ==> 1
% 1.40/1.81 1 ==> 0
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 resolution: (5065) {G1,W6,D2,L2,V2,M2} { rs( X, Y ), ! alpha9( X, Y ) }.
% 1.40/1.81 parent0[1]: (13) {G0,W6,D2,L2,V2,M1} I { rs( X, Y ), ! alpha10( X, Y ) }.
% 1.40/1.81 parent1[1]: (10) {G0,W6,D2,L2,V2,M1} I { ! alpha9( X, Y ), alpha10( X, Y )
% 1.40/1.81 }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 Y := Y
% 1.40/1.81 end
% 1.40/1.81 substitution1:
% 1.40/1.81 X := X
% 1.40/1.81 Y := Y
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 subsumption: (53) {G1,W6,D2,L2,V2,M1} R(10,13) { rs( X, Y ), ! alpha9( X, Y
% 1.40/1.81 ) }.
% 1.40/1.81 parent0: (5065) {G1,W6,D2,L2,V2,M2} { rs( X, Y ), ! alpha9( X, Y ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 Y := Y
% 1.40/1.81 end
% 1.40/1.81 permutation0:
% 1.40/1.81 0 ==> 0
% 1.40/1.81 1 ==> 1
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 resolution: (5066) {G1,W5,D2,L2,V2,M2} { alpha3( X ), ! alpha9( Y, X ) }.
% 1.40/1.81 parent0[1]: (14) {G0,W5,D2,L2,V2,M1} I { alpha3( Y ), ! alpha10( X, Y ) }.
% 1.40/1.81 parent1[1]: (10) {G0,W6,D2,L2,V2,M1} I { ! alpha9( X, Y ), alpha10( X, Y )
% 1.40/1.81 }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := Y
% 1.40/1.81 Y := X
% 1.40/1.81 end
% 1.40/1.81 substitution1:
% 1.40/1.81 X := Y
% 1.40/1.81 Y := X
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 subsumption: (54) {G1,W5,D2,L2,V2,M1} R(10,14) { alpha3( Y ), ! alpha9( X,
% 1.40/1.81 Y ) }.
% 1.40/1.81 parent0: (5066) {G1,W5,D2,L2,V2,M2} { alpha3( X ), ! alpha9( Y, X ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := Y
% 1.40/1.81 Y := X
% 1.40/1.81 end
% 1.40/1.81 permutation0:
% 1.40/1.81 0 ==> 0
% 1.40/1.81 1 ==> 1
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 resolution: (5067) {G1,W5,D2,L2,V2,M2} { alpha3( X ), ! alpha7( Y, X ) }.
% 1.40/1.81 parent0[1]: (54) {G1,W5,D2,L2,V2,M1} R(10,14) { alpha3( Y ), ! alpha9( X, Y
% 1.40/1.81 ) }.
% 1.40/1.81 parent1[1]: (7) {G0,W6,D2,L2,V2,M1} I { ! alpha7( X, Y ), alpha9( X, Y )
% 1.40/1.81 }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := Y
% 1.40/1.81 Y := X
% 1.40/1.81 end
% 1.40/1.81 substitution1:
% 1.40/1.81 X := Y
% 1.40/1.81 Y := X
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 subsumption: (56) {G2,W5,D2,L2,V2,M1} R(54,7) { alpha3( X ), ! alpha7( Y, X
% 1.40/1.81 ) }.
% 1.40/1.81 parent0: (5067) {G1,W5,D2,L2,V2,M2} { alpha3( X ), ! alpha7( Y, X ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 Y := Y
% 1.40/1.81 end
% 1.40/1.81 permutation0:
% 1.40/1.81 0 ==> 0
% 1.40/1.81 1 ==> 1
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 resolution: (5068) {G1,W5,D3,L2,V1,M2} { alpha3( skol1( X ) ), !
% 1.40/1.81 cUnsatisfiable( X ) }.
% 1.40/1.81 parent0[1]: (56) {G2,W5,D2,L2,V2,M1} R(54,7) { alpha3( X ), ! alpha7( Y, X
% 1.40/1.81 ) }.
% 1.40/1.81 parent1[1]: (6) {G0,W6,D3,L2,V1,M1} I { ! cUnsatisfiable( X ), alpha7( X,
% 1.40/1.81 skol1( X ) ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := skol1( X )
% 1.40/1.81 Y := X
% 1.40/1.81 end
% 1.40/1.81 substitution1:
% 1.40/1.81 X := X
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 subsumption: (57) {G3,W5,D3,L2,V1,M1} R(56,6) { ! cUnsatisfiable( X ),
% 1.40/1.81 alpha3( skol1( X ) ) }.
% 1.40/1.81 parent0: (5068) {G1,W5,D3,L2,V1,M2} { alpha3( skol1( X ) ), !
% 1.40/1.81 cUnsatisfiable( X ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 end
% 1.40/1.81 permutation0:
% 1.40/1.81 0 ==> 1
% 1.40/1.81 1 ==> 0
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 resolution: (5069) {G1,W6,D2,L2,V2,M2} { rs( X, Y ), ! alpha7( X, Y ) }.
% 1.40/1.81 parent0[1]: (53) {G1,W6,D2,L2,V2,M1} R(10,13) { rs( X, Y ), ! alpha9( X, Y
% 1.40/1.81 ) }.
% 1.40/1.81 parent1[1]: (7) {G0,W6,D2,L2,V2,M1} I { ! alpha7( X, Y ), alpha9( X, Y )
% 1.40/1.81 }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 Y := Y
% 1.40/1.81 end
% 1.40/1.81 substitution1:
% 1.40/1.81 X := X
% 1.40/1.81 Y := Y
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 subsumption: (61) {G2,W6,D2,L2,V2,M1} R(53,7) { rs( X, Y ), ! alpha7( X, Y
% 1.40/1.81 ) }.
% 1.40/1.81 parent0: (5069) {G1,W6,D2,L2,V2,M2} { rs( X, Y ), ! alpha7( X, Y ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 Y := Y
% 1.40/1.81 end
% 1.40/1.81 permutation0:
% 1.40/1.81 0 ==> 0
% 1.40/1.81 1 ==> 1
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 resolution: (5070) {G1,W6,D3,L2,V1,M2} { rs( X, skol1( X ) ), !
% 1.40/1.81 cUnsatisfiable( X ) }.
% 1.40/1.81 parent0[1]: (61) {G2,W6,D2,L2,V2,M1} R(53,7) { rs( X, Y ), ! alpha7( X, Y )
% 1.40/1.81 }.
% 1.40/1.81 parent1[1]: (6) {G0,W6,D3,L2,V1,M1} I { ! cUnsatisfiable( X ), alpha7( X,
% 1.40/1.81 skol1( X ) ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 Y := skol1( X )
% 1.40/1.81 end
% 1.40/1.81 substitution1:
% 1.40/1.81 X := X
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 subsumption: (62) {G3,W6,D3,L2,V1,M1} R(61,6) { ! cUnsatisfiable( X ), rs(
% 1.40/1.81 X, skol1( X ) ) }.
% 1.40/1.81 parent0: (5070) {G1,W6,D3,L2,V1,M2} { rs( X, skol1( X ) ), !
% 1.40/1.81 cUnsatisfiable( X ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 end
% 1.40/1.81 permutation0:
% 1.40/1.81 0 ==> 1
% 1.40/1.81 1 ==> 0
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 resolution: (5071) {G1,W12,D4,L4,V3,M4} { ! cUnsatisfiable( X ), ! rr(
% 1.40/1.81 skol6( skol1( Y ) ), Z ), cc( Z ), ! alpha3( skol1( Y ) ) }.
% 1.40/1.81 parent0[3]: (4) {G0,W11,D3,L4,V4,M1} I { ! cUnsatisfiable( X ), ! rr( Z, T
% 1.40/1.81 ), cc( T ), ! rp( skol1( Y ), Z ) }.
% 1.40/1.81 parent1[1]: (28) {G0,W6,D3,L2,V1,M1} I { ! alpha3( X ), rp( X, skol6( X ) )
% 1.40/1.81 }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 Y := Y
% 1.40/1.81 Z := skol6( skol1( Y ) )
% 1.40/1.81 T := Z
% 1.40/1.81 end
% 1.40/1.81 substitution1:
% 1.40/1.81 X := skol1( Y )
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 subsumption: (82) {G1,W12,D4,L4,V3,M1} R(28,4) { ! cUnsatisfiable( Y ), !
% 1.40/1.81 alpha3( skol1( X ) ), cc( Z ), ! rr( skol6( skol1( X ) ), Z ) }.
% 1.40/1.81 parent0: (5071) {G1,W12,D4,L4,V3,M4} { ! cUnsatisfiable( X ), ! rr( skol6
% 1.40/1.81 ( skol1( Y ) ), Z ), cc( Z ), ! alpha3( skol1( Y ) ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := Y
% 1.40/1.81 Y := X
% 1.40/1.81 Z := Z
% 1.40/1.81 end
% 1.40/1.81 permutation0:
% 1.40/1.81 0 ==> 0
% 1.40/1.81 1 ==> 3
% 1.40/1.81 2 ==> 2
% 1.40/1.81 3 ==> 1
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 resolution: (5072) {G1,W10,D4,L3,V1,M3} { ! alpha4( X ), rr( skol6( X ),
% 1.40/1.81 skol5( skol6( X ) ) ), ! alpha3( X ) }.
% 1.40/1.81 parent0[2]: (25) {G0,W9,D3,L3,V2,M1} I { ! alpha4( X ), rr( Y, skol5( Y ) )
% 1.40/1.81 , ! rp( X, Y ) }.
% 1.40/1.81 parent1[1]: (28) {G0,W6,D3,L2,V1,M1} I { ! alpha3( X ), rp( X, skol6( X ) )
% 1.40/1.81 }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 Y := skol6( X )
% 1.40/1.81 end
% 1.40/1.81 substitution1:
% 1.40/1.81 X := X
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 subsumption: (88) {G1,W10,D4,L3,V1,M1} R(25,28) { ! alpha4( X ), ! alpha3(
% 1.40/1.81 X ), rr( skol6( X ), skol5( skol6( X ) ) ) }.
% 1.40/1.81 parent0: (5072) {G1,W10,D4,L3,V1,M3} { ! alpha4( X ), rr( skol6( X ),
% 1.40/1.81 skol5( skol6( X ) ) ), ! alpha3( X ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 end
% 1.40/1.81 permutation0:
% 1.40/1.81 0 ==> 0
% 1.40/1.81 1 ==> 2
% 1.40/1.81 2 ==> 1
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 resolution: (5073) {G1,W7,D2,L3,V2,M3} { ! cc( X ), alpha1( Y ), ! rr( Y,
% 1.40/1.81 X ) }.
% 1.40/1.81 parent0[2]: (31) {G0,W7,D2,L3,V2,M1} I { ! cc( X ), alpha1( Y ), ! rinvR( X
% 1.40/1.81 , Y ) }.
% 1.40/1.81 parent1[1]: (43) {G0,W6,D2,L2,V2,M1} I { ! rr( Y, X ), rinvR( X, Y ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 Y := Y
% 1.40/1.81 end
% 1.40/1.81 substitution1:
% 1.40/1.81 X := X
% 1.40/1.81 Y := Y
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 subsumption: (99) {G1,W7,D2,L3,V2,M1} R(31,43) { ! cc( X ), alpha1( Y ), !
% 1.40/1.81 rr( Y, X ) }.
% 1.40/1.81 parent0: (5073) {G1,W7,D2,L3,V2,M3} { ! cc( X ), alpha1( Y ), ! rr( Y, X )
% 1.40/1.81 }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 Y := Y
% 1.40/1.81 end
% 1.40/1.81 permutation0:
% 1.40/1.81 0 ==> 0
% 1.40/1.81 1 ==> 1
% 1.40/1.81 2 ==> 2
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 resolution: (5074) {G1,W7,D2,L3,V2,M3} { ! alpha2( X ), ! ca( Y ), ! rs( Y
% 1.40/1.81 , X ) }.
% 1.40/1.81 parent0[2]: (37) {G0,W7,D2,L3,V2,M1} I { ! alpha2( X ), ! ca( Y ), ! rinvS
% 1.40/1.81 ( X, Y ) }.
% 1.40/1.81 parent1[1]: (45) {G0,W6,D2,L2,V2,M1} I { ! rs( Y, X ), rinvS( X, Y ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 Y := Y
% 1.40/1.81 end
% 1.40/1.81 substitution1:
% 1.40/1.81 X := X
% 1.40/1.81 Y := Y
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 subsumption: (101) {G1,W7,D2,L3,V2,M1} R(37,45) { ! ca( Y ), ! alpha2( X )
% 1.40/1.81 , ! rs( Y, X ) }.
% 1.40/1.81 parent0: (5074) {G1,W7,D2,L3,V2,M3} { ! alpha2( X ), ! ca( Y ), ! rs( Y, X
% 1.40/1.81 ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 Y := Y
% 1.40/1.81 end
% 1.40/1.81 permutation0:
% 1.40/1.81 0 ==> 1
% 1.40/1.81 1 ==> 0
% 1.40/1.81 2 ==> 2
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 resolution: (5075) {G2,W7,D3,L3,V1,M3} { ! ca( X ), ! alpha2( skol1( X ) )
% 1.40/1.81 , ! cUnsatisfiable( X ) }.
% 1.40/1.81 parent0[2]: (101) {G1,W7,D2,L3,V2,M1} R(37,45) { ! ca( Y ), ! alpha2( X ),
% 1.40/1.81 ! rs( Y, X ) }.
% 1.40/1.81 parent1[1]: (62) {G3,W6,D3,L2,V1,M1} R(61,6) { ! cUnsatisfiable( X ), rs( X
% 1.40/1.81 , skol1( X ) ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := skol1( X )
% 1.40/1.81 Y := X
% 1.40/1.81 end
% 1.40/1.81 substitution1:
% 1.40/1.81 X := X
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 resolution: (5076) {G1,W7,D3,L3,V1,M3} { ! alpha2( skol1( X ) ), !
% 1.40/1.81 cUnsatisfiable( X ), ! cUnsatisfiable( X ) }.
% 1.40/1.81 parent0[0]: (5075) {G2,W7,D3,L3,V1,M3} { ! ca( X ), ! alpha2( skol1( X ) )
% 1.40/1.81 , ! cUnsatisfiable( X ) }.
% 1.40/1.81 parent1[1]: (30) {G0,W4,D2,L2,V1,M1} I { ! cUnsatisfiable( X ), ca( X ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 end
% 1.40/1.81 substitution1:
% 1.40/1.81 X := X
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 factor: (5077) {G1,W5,D3,L2,V1,M2} { ! alpha2( skol1( X ) ), !
% 1.40/1.81 cUnsatisfiable( X ) }.
% 1.40/1.81 parent0[1, 2]: (5076) {G1,W7,D3,L3,V1,M3} { ! alpha2( skol1( X ) ), !
% 1.40/1.81 cUnsatisfiable( X ), ! cUnsatisfiable( X ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 subsumption: (102) {G4,W5,D3,L2,V1,M1} R(101,62);r(30) { ! cUnsatisfiable(
% 1.40/1.81 X ), ! alpha2( skol1( X ) ) }.
% 1.40/1.81 parent0: (5077) {G1,W5,D3,L2,V1,M2} { ! alpha2( skol1( X ) ), !
% 1.40/1.81 cUnsatisfiable( X ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 end
% 1.40/1.81 permutation0:
% 1.40/1.81 0 ==> 1
% 1.40/1.81 1 ==> 0
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 resolution: (5078) {G1,W7,D2,L3,V2,M3} { ! alpha1( X ), alpha2( Y ), ! rp
% 1.40/1.81 ( Y, X ) }.
% 1.40/1.81 parent0[2]: (34) {G0,W7,D2,L3,V2,M1} I { ! alpha1( X ), alpha2( Y ), !
% 1.40/1.81 rinvP( X, Y ) }.
% 1.40/1.81 parent1[1]: (41) {G0,W6,D2,L2,V2,M1} I { ! rp( Y, X ), rinvP( X, Y ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 Y := Y
% 1.40/1.81 end
% 1.40/1.81 substitution1:
% 1.40/1.81 X := X
% 1.40/1.81 Y := Y
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 subsumption: (104) {G1,W7,D2,L3,V2,M1} R(34,41) { ! alpha1( X ), alpha2( Y
% 1.40/1.81 ), ! rp( Y, X ) }.
% 1.40/1.81 parent0: (5078) {G1,W7,D2,L3,V2,M3} { ! alpha1( X ), alpha2( Y ), ! rp( Y
% 1.40/1.81 , X ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 Y := Y
% 1.40/1.81 end
% 1.40/1.81 permutation0:
% 1.40/1.81 0 ==> 0
% 1.40/1.81 1 ==> 1
% 1.40/1.81 2 ==> 2
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 resolution: (5079) {G1,W7,D3,L3,V1,M3} { ! alpha1( skol6( X ) ), alpha2( X
% 1.40/1.81 ), ! alpha3( X ) }.
% 1.40/1.81 parent0[2]: (104) {G1,W7,D2,L3,V2,M1} R(34,41) { ! alpha1( X ), alpha2( Y )
% 1.40/1.81 , ! rp( Y, X ) }.
% 1.40/1.81 parent1[1]: (28) {G0,W6,D3,L2,V1,M1} I { ! alpha3( X ), rp( X, skol6( X ) )
% 1.40/1.81 }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := skol6( X )
% 1.40/1.81 Y := X
% 1.40/1.81 end
% 1.40/1.81 substitution1:
% 1.40/1.81 X := X
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 subsumption: (107) {G2,W7,D3,L3,V1,M1} R(104,28) { ! alpha1( skol6( X ) ),
% 1.40/1.81 alpha2( X ), ! alpha3( X ) }.
% 1.40/1.81 parent0: (5079) {G1,W7,D3,L3,V1,M3} { ! alpha1( skol6( X ) ), alpha2( X )
% 1.40/1.81 , ! alpha3( X ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 end
% 1.40/1.81 permutation0:
% 1.40/1.81 0 ==> 0
% 1.40/1.81 1 ==> 1
% 1.40/1.81 2 ==> 2
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 resolution: (5080) {G3,W9,D4,L3,V1,M3} { ! alpha1( skol6( skol1( X ) ) ),
% 1.40/1.81 alpha2( skol1( X ) ), ! cUnsatisfiable( X ) }.
% 1.40/1.81 parent0[2]: (107) {G2,W7,D3,L3,V1,M1} R(104,28) { ! alpha1( skol6( X ) ),
% 1.40/1.81 alpha2( X ), ! alpha3( X ) }.
% 1.40/1.81 parent1[1]: (57) {G3,W5,D3,L2,V1,M1} R(56,6) { ! cUnsatisfiable( X ),
% 1.40/1.81 alpha3( skol1( X ) ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := skol1( X )
% 1.40/1.81 end
% 1.40/1.81 substitution1:
% 1.40/1.81 X := X
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 resolution: (5081) {G4,W8,D4,L3,V1,M3} { ! cUnsatisfiable( X ), ! alpha1(
% 1.40/1.81 skol6( skol1( X ) ) ), ! cUnsatisfiable( X ) }.
% 1.40/1.81 parent0[1]: (102) {G4,W5,D3,L2,V1,M1} R(101,62);r(30) { ! cUnsatisfiable( X
% 1.40/1.81 ), ! alpha2( skol1( X ) ) }.
% 1.40/1.81 parent1[1]: (5080) {G3,W9,D4,L3,V1,M3} { ! alpha1( skol6( skol1( X ) ) ),
% 1.40/1.81 alpha2( skol1( X ) ), ! cUnsatisfiable( X ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 end
% 1.40/1.81 substitution1:
% 1.40/1.81 X := X
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 factor: (5082) {G4,W6,D4,L2,V1,M2} { ! cUnsatisfiable( X ), ! alpha1(
% 1.40/1.81 skol6( skol1( X ) ) ) }.
% 1.40/1.81 parent0[0, 2]: (5081) {G4,W8,D4,L3,V1,M3} { ! cUnsatisfiable( X ), !
% 1.40/1.81 alpha1( skol6( skol1( X ) ) ), ! cUnsatisfiable( X ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 subsumption: (127) {G5,W6,D4,L2,V1,M1} R(107,57);r(102) { ! cUnsatisfiable
% 1.40/1.81 ( X ), ! alpha1( skol6( skol1( X ) ) ) }.
% 1.40/1.81 parent0: (5082) {G4,W6,D4,L2,V1,M2} { ! cUnsatisfiable( X ), ! alpha1(
% 1.40/1.81 skol6( skol1( X ) ) ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 end
% 1.40/1.81 permutation0:
% 1.40/1.81 0 ==> 0
% 1.40/1.81 1 ==> 1
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 resolution: (5083) {G2,W16,D5,L5,V2,M5} { ! cUnsatisfiable( X ), ! alpha3
% 1.40/1.81 ( skol1( Y ) ), cc( skol5( skol6( skol1( Y ) ) ) ), ! alpha4( skol1( Y )
% 1.40/1.81 ), ! alpha3( skol1( Y ) ) }.
% 1.40/1.81 parent0[3]: (82) {G1,W12,D4,L4,V3,M1} R(28,4) { ! cUnsatisfiable( Y ), !
% 1.40/1.81 alpha3( skol1( X ) ), cc( Z ), ! rr( skol6( skol1( X ) ), Z ) }.
% 1.40/1.81 parent1[2]: (88) {G1,W10,D4,L3,V1,M1} R(25,28) { ! alpha4( X ), ! alpha3( X
% 1.40/1.81 ), rr( skol6( X ), skol5( skol6( X ) ) ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := Y
% 1.40/1.81 Y := X
% 1.40/1.81 Z := skol5( skol6( skol1( Y ) ) )
% 1.40/1.81 end
% 1.40/1.81 substitution1:
% 1.40/1.81 X := skol1( Y )
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 factor: (5084) {G2,W13,D5,L4,V2,M4} { ! cUnsatisfiable( X ), ! alpha3(
% 1.40/1.81 skol1( Y ) ), cc( skol5( skol6( skol1( Y ) ) ) ), ! alpha4( skol1( Y ) )
% 1.40/1.81 }.
% 1.40/1.81 parent0[1, 4]: (5083) {G2,W16,D5,L5,V2,M5} { ! cUnsatisfiable( X ), !
% 1.40/1.81 alpha3( skol1( Y ) ), cc( skol5( skol6( skol1( Y ) ) ) ), ! alpha4( skol1
% 1.40/1.81 ( Y ) ), ! alpha3( skol1( Y ) ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 Y := Y
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 subsumption: (371) {G2,W13,D5,L4,V2,M1} R(88,82);f { ! alpha3( skol1( X ) )
% 1.40/1.81 , ! cUnsatisfiable( Y ), cc( skol5( skol6( skol1( X ) ) ) ), ! alpha4(
% 1.40/1.81 skol1( X ) ) }.
% 1.40/1.81 parent0: (5084) {G2,W13,D5,L4,V2,M4} { ! cUnsatisfiable( X ), ! alpha3(
% 1.40/1.81 skol1( Y ) ), cc( skol5( skol6( skol1( Y ) ) ) ), ! alpha4( skol1( Y ) )
% 1.40/1.81 }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := Y
% 1.40/1.81 Y := X
% 1.40/1.81 end
% 1.40/1.81 permutation0:
% 1.40/1.81 0 ==> 1
% 1.40/1.81 1 ==> 0
% 1.40/1.81 2 ==> 2
% 1.40/1.81 3 ==> 3
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 resolution: (5085) {G2,W11,D4,L4,V1,M4} { ! cc( skol5( skol6( X ) ) ),
% 1.40/1.81 alpha1( skol6( X ) ), ! alpha4( X ), ! alpha3( X ) }.
% 1.40/1.81 parent0[2]: (99) {G1,W7,D2,L3,V2,M1} R(31,43) { ! cc( X ), alpha1( Y ), !
% 1.40/1.81 rr( Y, X ) }.
% 1.40/1.81 parent1[2]: (88) {G1,W10,D4,L3,V1,M1} R(25,28) { ! alpha4( X ), ! alpha3( X
% 1.40/1.81 ), rr( skol6( X ), skol5( skol6( X ) ) ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := skol5( skol6( X ) )
% 1.40/1.81 Y := skol6( X )
% 1.40/1.81 end
% 1.40/1.81 substitution1:
% 1.40/1.81 X := X
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 subsumption: (372) {G2,W11,D4,L4,V1,M1} R(88,99) { ! alpha3( X ), ! cc(
% 1.40/1.81 skol5( skol6( X ) ) ), alpha1( skol6( X ) ), ! alpha4( X ) }.
% 1.40/1.81 parent0: (5085) {G2,W11,D4,L4,V1,M4} { ! cc( skol5( skol6( X ) ) ), alpha1
% 1.40/1.81 ( skol6( X ) ), ! alpha4( X ), ! alpha3( X ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 end
% 1.40/1.81 permutation0:
% 1.40/1.81 0 ==> 1
% 1.40/1.81 1 ==> 2
% 1.40/1.81 2 ==> 3
% 1.40/1.81 3 ==> 0
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 resolution: (5086) {G3,W14,D5,L4,V1,M4} { ! alpha3( skol1( X ) ), ! cc(
% 1.40/1.81 skol5( skol6( skol1( X ) ) ) ), alpha1( skol6( skol1( X ) ) ), !
% 1.40/1.81 cUnsatisfiable( X ) }.
% 1.40/1.81 parent0[3]: (372) {G2,W11,D4,L4,V1,M1} R(88,99) { ! alpha3( X ), ! cc(
% 1.40/1.81 skol5( skol6( X ) ) ), alpha1( skol6( X ) ), ! alpha4( X ) }.
% 1.40/1.81 parent1[1]: (52) {G2,W5,D3,L2,V1,M1} R(51,6) { ! cUnsatisfiable( X ),
% 1.40/1.81 alpha4( skol1( X ) ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := skol1( X )
% 1.40/1.81 end
% 1.40/1.81 substitution1:
% 1.40/1.81 X := X
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 resolution: (5087) {G4,W13,D5,L4,V1,M4} { ! cc( skol5( skol6( skol1( X ) )
% 1.40/1.81 ) ), alpha1( skol6( skol1( X ) ) ), ! cUnsatisfiable( X ), !
% 1.40/1.81 cUnsatisfiable( X ) }.
% 1.40/1.81 parent0[0]: (5086) {G3,W14,D5,L4,V1,M4} { ! alpha3( skol1( X ) ), ! cc(
% 1.40/1.81 skol5( skol6( skol1( X ) ) ) ), alpha1( skol6( skol1( X ) ) ), !
% 1.40/1.81 cUnsatisfiable( X ) }.
% 1.40/1.81 parent1[1]: (57) {G3,W5,D3,L2,V1,M1} R(56,6) { ! cUnsatisfiable( X ),
% 1.40/1.81 alpha3( skol1( X ) ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 end
% 1.40/1.81 substitution1:
% 1.40/1.81 X := X
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 factor: (5088) {G4,W11,D5,L3,V1,M3} { ! cc( skol5( skol6( skol1( X ) ) ) )
% 1.40/1.81 , alpha1( skol6( skol1( X ) ) ), ! cUnsatisfiable( X ) }.
% 1.40/1.81 parent0[2, 3]: (5087) {G4,W13,D5,L4,V1,M4} { ! cc( skol5( skol6( skol1( X
% 1.40/1.81 ) ) ) ), alpha1( skol6( skol1( X ) ) ), ! cUnsatisfiable( X ), !
% 1.40/1.81 cUnsatisfiable( X ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 subsumption: (4217) {G4,W11,D5,L3,V1,M1} R(372,52);r(57) { ! cc( skol5(
% 1.40/1.81 skol6( skol1( X ) ) ) ), ! cUnsatisfiable( X ), alpha1( skol6( skol1( X )
% 1.40/1.81 ) ) }.
% 1.40/1.81 parent0: (5088) {G4,W11,D5,L3,V1,M3} { ! cc( skol5( skol6( skol1( X ) ) )
% 1.40/1.81 ), alpha1( skol6( skol1( X ) ) ), ! cUnsatisfiable( X ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 end
% 1.40/1.81 permutation0:
% 1.40/1.81 0 ==> 0
% 1.40/1.81 1 ==> 2
% 1.40/1.81 2 ==> 1
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 resolution: (5089) {G5,W9,D5,L3,V1,M3} { ! cUnsatisfiable( X ), ! cc(
% 1.40/1.81 skol5( skol6( skol1( X ) ) ) ), ! cUnsatisfiable( X ) }.
% 1.40/1.81 parent0[1]: (127) {G5,W6,D4,L2,V1,M1} R(107,57);r(102) { ! cUnsatisfiable(
% 1.40/1.81 X ), ! alpha1( skol6( skol1( X ) ) ) }.
% 1.40/1.81 parent1[2]: (4217) {G4,W11,D5,L3,V1,M1} R(372,52);r(57) { ! cc( skol5(
% 1.40/1.81 skol6( skol1( X ) ) ) ), ! cUnsatisfiable( X ), alpha1( skol6( skol1( X )
% 1.40/1.81 ) ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 end
% 1.40/1.81 substitution1:
% 1.40/1.81 X := X
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 factor: (5090) {G5,W7,D5,L2,V1,M2} { ! cUnsatisfiable( X ), ! cc( skol5(
% 1.40/1.81 skol6( skol1( X ) ) ) ) }.
% 1.40/1.81 parent0[0, 2]: (5089) {G5,W9,D5,L3,V1,M3} { ! cUnsatisfiable( X ), ! cc(
% 1.40/1.81 skol5( skol6( skol1( X ) ) ) ), ! cUnsatisfiable( X ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 subsumption: (4302) {G6,W7,D5,L2,V1,M1} S(4217);r(127) { ! cUnsatisfiable(
% 1.40/1.81 X ), ! cc( skol5( skol6( skol1( X ) ) ) ) }.
% 1.40/1.81 parent0: (5090) {G5,W7,D5,L2,V1,M2} { ! cUnsatisfiable( X ), ! cc( skol5(
% 1.40/1.81 skol6( skol1( X ) ) ) ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 end
% 1.40/1.81 permutation0:
% 1.40/1.81 0 ==> 0
% 1.40/1.81 1 ==> 1
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 resolution: (5091) {G3,W12,D5,L4,V2,M4} { ! alpha3( skol1( X ) ), !
% 1.40/1.81 cUnsatisfiable( Y ), cc( skol5( skol6( skol1( X ) ) ) ), ! cUnsatisfiable
% 1.40/1.81 ( X ) }.
% 1.40/1.81 parent0[3]: (371) {G2,W13,D5,L4,V2,M1} R(88,82);f { ! alpha3( skol1( X ) )
% 1.40/1.81 , ! cUnsatisfiable( Y ), cc( skol5( skol6( skol1( X ) ) ) ), ! alpha4(
% 1.40/1.81 skol1( X ) ) }.
% 1.40/1.81 parent1[1]: (52) {G2,W5,D3,L2,V1,M1} R(51,6) { ! cUnsatisfiable( X ),
% 1.40/1.81 alpha4( skol1( X ) ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 Y := Y
% 1.40/1.81 end
% 1.40/1.81 substitution1:
% 1.40/1.81 X := X
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 factor: (5092) {G3,W10,D5,L3,V1,M3} { ! alpha3( skol1( X ) ), !
% 1.40/1.81 cUnsatisfiable( X ), cc( skol5( skol6( skol1( X ) ) ) ) }.
% 1.40/1.81 parent0[1, 3]: (5091) {G3,W12,D5,L4,V2,M4} { ! alpha3( skol1( X ) ), !
% 1.40/1.81 cUnsatisfiable( Y ), cc( skol5( skol6( skol1( X ) ) ) ), ! cUnsatisfiable
% 1.40/1.81 ( X ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 Y := X
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 resolution: (5093) {G4,W9,D5,L3,V1,M3} { ! cUnsatisfiable( X ), cc( skol5
% 1.40/1.81 ( skol6( skol1( X ) ) ) ), ! cUnsatisfiable( X ) }.
% 1.40/1.81 parent0[0]: (5092) {G3,W10,D5,L3,V1,M3} { ! alpha3( skol1( X ) ), !
% 1.40/1.81 cUnsatisfiable( X ), cc( skol5( skol6( skol1( X ) ) ) ) }.
% 1.40/1.81 parent1[1]: (57) {G3,W5,D3,L2,V1,M1} R(56,6) { ! cUnsatisfiable( X ),
% 1.40/1.81 alpha3( skol1( X ) ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 end
% 1.40/1.81 substitution1:
% 1.40/1.81 X := X
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 subsumption: (5006) {G4,W9,D5,L3,V2,M1} R(371,52);r(57) { ! cUnsatisfiable
% 1.40/1.81 ( Y ), ! cUnsatisfiable( X ), cc( skol5( skol6( skol1( X ) ) ) ) }.
% 1.40/1.81 parent0: (5093) {G4,W9,D5,L3,V1,M3} { ! cUnsatisfiable( X ), cc( skol5(
% 1.40/1.81 skol6( skol1( X ) ) ) ), ! cUnsatisfiable( X ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 end
% 1.40/1.81 permutation0:
% 1.40/1.81 0 ==> 1
% 1.40/1.81 1 ==> 2
% 1.40/1.81 2 ==> 1
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 factor: (5095) {G4,W7,D5,L2,V1,M2} { ! cUnsatisfiable( X ), cc( skol5(
% 1.40/1.81 skol6( skol1( X ) ) ) ) }.
% 1.40/1.81 parent0[0, 1]: (5006) {G4,W9,D5,L3,V2,M1} R(371,52);r(57) { !
% 1.40/1.81 cUnsatisfiable( Y ), ! cUnsatisfiable( X ), cc( skol5( skol6( skol1( X )
% 1.40/1.81 ) ) ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 Y := X
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 resolution: (5096) {G5,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), !
% 1.40/1.81 cUnsatisfiable( X ) }.
% 1.40/1.81 parent0[1]: (4302) {G6,W7,D5,L2,V1,M1} S(4217);r(127) { ! cUnsatisfiable( X
% 1.40/1.81 ), ! cc( skol5( skol6( skol1( X ) ) ) ) }.
% 1.40/1.81 parent1[1]: (5095) {G4,W7,D5,L2,V1,M2} { ! cUnsatisfiable( X ), cc( skol5
% 1.40/1.81 ( skol6( skol1( X ) ) ) ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 end
% 1.40/1.81 substitution1:
% 1.40/1.81 X := X
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 factor: (5097) {G5,W2,D2,L1,V1,M1} { ! cUnsatisfiable( X ) }.
% 1.40/1.81 parent0[0, 1]: (5096) {G5,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), !
% 1.40/1.81 cUnsatisfiable( X ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 subsumption: (5007) {G7,W2,D2,L1,V1,M1} F(5006);r(4302) { ! cUnsatisfiable
% 1.40/1.81 ( X ) }.
% 1.40/1.81 parent0: (5097) {G5,W2,D2,L1,V1,M1} { ! cUnsatisfiable( X ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := X
% 1.40/1.81 end
% 1.40/1.81 permutation0:
% 1.40/1.81 0 ==> 0
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 resolution: (5098) {G1,W0,D0,L0,V0,M0} { }.
% 1.40/1.81 parent0[0]: (5007) {G7,W2,D2,L1,V1,M1} F(5006);r(4302) { ! cUnsatisfiable(
% 1.40/1.81 X ) }.
% 1.40/1.81 parent1[0]: (47) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 1.40/1.81 i2003_11_14_17_19_28752 ) }.
% 1.40/1.81 substitution0:
% 1.40/1.81 X := i2003_11_14_17_19_28752
% 1.40/1.81 end
% 1.40/1.81 substitution1:
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 subsumption: (5008) {G8,W0,D0,L0,V0,M0} R(5007,47) { }.
% 1.40/1.81 parent0: (5098) {G1,W0,D0,L0,V0,M0} { }.
% 1.40/1.81 substitution0:
% 1.40/1.81 end
% 1.40/1.81 permutation0:
% 1.40/1.81 end
% 1.40/1.81
% 1.40/1.81 Proof check complete!
% 1.40/1.81
% 1.40/1.81 Memory use:
% 1.40/1.81
% 1.40/1.81 space for terms: 74587
% 1.40/1.81 space for clauses: 236309
% 1.40/1.81
% 1.40/1.81
% 1.40/1.81 clauses generated: 25566
% 1.40/1.81 clauses kept: 5009
% 1.40/1.81 clauses selected: 772
% 1.40/1.81 clauses deleted: 69
% 1.40/1.81 clauses inuse deleted: 9
% 1.40/1.81
% 1.40/1.81 subsentry: 59399
% 1.40/1.81 literals s-matched: 47062
% 1.40/1.81 literals matched: 45938
% 1.40/1.81 full subsumption: 14792
% 1.40/1.81
% 1.40/1.81 checksum: 820170369
% 1.40/1.81
% 1.40/1.81
% 1.40/1.81 Bliksem ended
%------------------------------------------------------------------------------