TSTP Solution File: KRS097+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : KRS097+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 02:42:14 EDT 2022
% Result : Unsatisfiable 0.72s 1.13s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : KRS097+1 : TPTP v8.1.0. Released v3.1.0.
% 0.04/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Tue Jun 7 20:57:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.72/1.13 *** allocated 10000 integers for termspace/termends
% 0.72/1.13 *** allocated 10000 integers for clauses
% 0.72/1.13 *** allocated 10000 integers for justifications
% 0.72/1.13 Bliksem 1.12
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Automatic Strategy Selection
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Clauses:
% 0.72/1.13
% 0.72/1.13 { ! Y = X, ! cUnsatisfiable( Y ), cUnsatisfiable( X ) }.
% 0.72/1.13 { ! Y = X, ! ca( Y ), ca( X ) }.
% 0.72/1.13 { ! Y = X, ! cc( Y ), cc( X ) }.
% 0.72/1.13 { ! Y = X, ! cd( Y ), cd( X ) }.
% 0.72/1.13 { ! Y = X, ! ce( Y ), ce( X ) }.
% 0.72/1.13 { ! Y = X, ! cowlNothing( Y ), cowlNothing( X ) }.
% 0.72/1.13 { ! Y = X, ! cowlThing( Y ), cowlThing( X ) }.
% 0.72/1.13 { ! Z = X, ! rr( Z, Y ), rr( X, Y ) }.
% 0.72/1.13 { ! Z = X, ! rr( Y, Z ), rr( Y, X ) }.
% 0.72/1.13 { ! Z = X, ! rr1( Z, Y ), rr1( X, Y ) }.
% 0.72/1.13 { ! Z = X, ! rr1( Y, Z ), rr1( Y, X ) }.
% 0.72/1.13 { ! Z = X, ! rr2( Z, Y ), rr2( X, Y ) }.
% 0.72/1.13 { ! Z = X, ! rr2( Y, Z ), rr2( Y, X ) }.
% 0.72/1.13 { ! Z = X, ! rr3( Z, Y ), rr3( X, Y ) }.
% 0.72/1.13 { ! Z = X, ! rr3( Y, Z ), rr3( Y, X ) }.
% 0.72/1.13 { ! Z = X, ! rt1( Z, Y ), rt1( X, Y ) }.
% 0.72/1.13 { ! Z = X, ! rt1( Y, Z ), rt1( Y, X ) }.
% 0.72/1.13 { ! Z = X, ! rt2( Z, Y ), rt2( X, Y ) }.
% 0.72/1.13 { ! Z = X, ! rt2( Y, Z ), rt2( Y, X ) }.
% 0.72/1.13 { ! Z = X, ! rt3( Z, Y ), rt3( X, Y ) }.
% 0.72/1.13 { ! Z = X, ! rt3( Y, Z ), rt3( Y, X ) }.
% 0.72/1.13 { ! Z = X, ! rtt( Z, Y ), rtt( X, Y ) }.
% 0.72/1.13 { ! Z = X, ! rtt( Y, Z ), rtt( Y, X ) }.
% 0.72/1.13 { ! Y = X, ! xsd_integer( Y ), xsd_integer( X ) }.
% 0.72/1.13 { ! Y = X, ! xsd_string( Y ), xsd_string( X ) }.
% 0.72/1.13 { cowlThing( X ) }.
% 0.72/1.13 { ! cowlNothing( X ) }.
% 0.72/1.13 { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.72/1.13 { xsd_integer( X ), xsd_string( X ) }.
% 0.72/1.13 { ! cUnsatisfiable( X ), rr( X, skol1( X ) ) }.
% 0.72/1.13 { ! cUnsatisfiable( X ), alpha1( X ) }.
% 0.72/1.13 { ! rr( X, Y ), ! alpha1( X ), cUnsatisfiable( X ) }.
% 0.72/1.13 { ! alpha1( X ), alpha2( X ) }.
% 0.72/1.13 { ! alpha1( X ), alpha3( X ) }.
% 0.72/1.13 { ! alpha2( X ), ! alpha3( X ), alpha1( X ) }.
% 0.72/1.13 { ! alpha3( X ), alpha4( X ) }.
% 0.72/1.13 { ! alpha3( X ), alpha5( X ) }.
% 0.72/1.13 { ! alpha4( X ), ! alpha5( X ), alpha3( X ) }.
% 0.72/1.13 { ! alpha5( X ), cc( skol2( Y ) ) }.
% 0.72/1.13 { ! alpha5( X ), rr( X, skol2( X ) ) }.
% 0.72/1.13 { ! rr( X, Y ), ! cc( Y ), alpha5( X ) }.
% 0.72/1.13 { ! alpha4( X ), ! rr( X, Y ), ! alpha6( X, Y ) }.
% 0.72/1.13 { rr( X, skol3( X ) ), alpha4( X ) }.
% 0.72/1.13 { alpha6( X, skol3( X ) ), alpha4( X ) }.
% 0.72/1.13 { ! alpha6( X, Y ), ! Y = skol4( Z, Y ) }.
% 0.72/1.13 { ! alpha6( X, Y ), rr( X, skol4( X, Y ) ) }.
% 0.72/1.13 { ! rr( X, Z ), Y = Z, alpha6( X, Y ) }.
% 0.72/1.13 { ! alpha2( X ), cd( skol5( Y ) ) }.
% 0.72/1.13 { ! alpha2( X ), rr( X, skol5( X ) ) }.
% 0.72/1.13 { ! rr( X, Y ), ! cd( Y ), alpha2( X ) }.
% 0.72/1.13 { ! ca( X ), cd( X ), cc( X ) }.
% 0.72/1.13 { ! cd( X ), ca( X ) }.
% 0.72/1.13 { ! cc( X ), ca( X ) }.
% 0.72/1.13 { cUnsatisfiable( i2003_11_14_17_20_21603 ) }.
% 0.72/1.13 { ! cd( X ), ! ce( X ) }.
% 0.72/1.13 { ! cd( X ), ! cc( X ) }.
% 0.72/1.13 { ! ce( X ), ! cc( X ) }.
% 0.72/1.13 { ! rt3( X, Y ), rtt( X, Y ) }.
% 0.72/1.13 { ! rr1( X, Y ), rr( X, Y ) }.
% 0.72/1.13 { ! rr3( X, Y ), rr( X, Y ) }.
% 0.72/1.13 { ! rt1( X, Y ), rtt( X, Y ) }.
% 0.72/1.13 { ! rr2( X, Y ), rr( X, Y ) }.
% 0.72/1.13 { ! rt2( X, Y ), rtt( X, Y ) }.
% 0.72/1.13
% 0.72/1.13 percentage equality = 0.173077, percentage horn = 0.920635
% 0.72/1.13 This is a problem with some equality
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Options Used:
% 0.72/1.13
% 0.72/1.13 useres = 1
% 0.72/1.13 useparamod = 1
% 0.72/1.13 useeqrefl = 1
% 0.72/1.13 useeqfact = 1
% 0.72/1.13 usefactor = 1
% 0.72/1.13 usesimpsplitting = 0
% 0.72/1.13 usesimpdemod = 5
% 0.72/1.13 usesimpres = 3
% 0.72/1.13
% 0.72/1.13 resimpinuse = 1000
% 0.72/1.13 resimpclauses = 20000
% 0.72/1.13 substype = eqrewr
% 0.72/1.13 backwardsubs = 1
% 0.72/1.13 selectoldest = 5
% 0.72/1.13
% 0.72/1.13 litorderings [0] = split
% 0.72/1.13 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.13
% 0.72/1.13 termordering = kbo
% 0.72/1.13
% 0.72/1.13 litapriori = 0
% 0.72/1.13 termapriori = 1
% 0.72/1.13 litaposteriori = 0
% 0.72/1.13 termaposteriori = 0
% 0.72/1.13 demodaposteriori = 0
% 0.72/1.13 ordereqreflfact = 0
% 0.72/1.13
% 0.72/1.13 litselect = negord
% 0.72/1.13
% 0.72/1.13 maxweight = 15
% 0.72/1.13 maxdepth = 30000
% 0.72/1.13 maxlength = 115
% 0.72/1.13 maxnrvars = 195
% 0.72/1.13 excuselevel = 1
% 0.72/1.13 increasemaxweight = 1
% 0.72/1.13
% 0.72/1.13 maxselected = 10000000
% 0.72/1.13 maxnrclauses = 10000000
% 0.72/1.13
% 0.72/1.13 showgenerated = 0
% 0.72/1.13 showkept = 0
% 0.72/1.13 showselected = 0
% 0.72/1.13 showdeleted = 0
% 0.72/1.13 showresimp = 1
% 0.72/1.13 showstatus = 2000
% 0.72/1.13
% 0.72/1.13 prologoutput = 0
% 0.72/1.13 nrgoals = 5000000
% 0.72/1.13 totalproof = 1
% 0.72/1.13
% 0.72/1.13 Symbols occurring in the translation:
% 0.72/1.13
% 0.72/1.13 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.13 . [1, 2] (w:1, o:37, a:1, s:1, b:0),
% 0.72/1.13 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.72/1.13 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.13 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.13 cUnsatisfiable [37, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.72/1.13 ca [38, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.72/1.13 cc [39, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.72/1.13 cd [40, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.72/1.13 ce [41, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.72/1.13 cowlNothing [42, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.72/1.13 cowlThing [43, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.72/1.13 rr [45, 2] (w:1, o:61, a:1, s:1, b:0),
% 0.72/1.13 rr1 [46, 2] (w:1, o:62, a:1, s:1, b:0),
% 0.72/1.13 rr2 [47, 2] (w:1, o:63, a:1, s:1, b:0),
% 0.72/1.13 rr3 [48, 2] (w:1, o:64, a:1, s:1, b:0),
% 0.72/1.13 rt1 [49, 2] (w:1, o:65, a:1, s:1, b:0),
% 0.72/1.13 rt2 [50, 2] (w:1, o:66, a:1, s:1, b:0),
% 0.72/1.13 rt3 [51, 2] (w:1, o:67, a:1, s:1, b:0),
% 0.72/1.13 rtt [52, 2] (w:1, o:68, a:1, s:1, b:0),
% 0.72/1.13 xsd_integer [53, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.72/1.13 xsd_string [54, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.72/1.13 i2003_11_14_17_20_21603 [59, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.72/1.13 alpha1 [60, 1] (w:1, o:28, a:1, s:1, b:1),
% 0.72/1.13 alpha2 [61, 1] (w:1, o:29, a:1, s:1, b:1),
% 0.72/1.13 alpha3 [62, 1] (w:1, o:30, a:1, s:1, b:1),
% 0.72/1.13 alpha4 [63, 1] (w:1, o:31, a:1, s:1, b:1),
% 0.72/1.13 alpha5 [64, 1] (w:1, o:32, a:1, s:1, b:1),
% 0.72/1.13 alpha6 [65, 2] (w:1, o:69, a:1, s:1, b:1),
% 0.72/1.13 skol1 [66, 1] (w:1, o:33, a:1, s:1, b:1),
% 0.72/1.13 skol2 [67, 1] (w:1, o:34, a:1, s:1, b:1),
% 0.72/1.13 skol3 [68, 1] (w:1, o:35, a:1, s:1, b:1),
% 0.72/1.13 skol4 [69, 2] (w:1, o:70, a:1, s:1, b:1),
% 0.72/1.13 skol5 [70, 1] (w:1, o:36, a:1, s:1, b:1).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Starting Search:
% 0.72/1.13
% 0.72/1.13 *** allocated 15000 integers for clauses
% 0.72/1.13 *** allocated 22500 integers for clauses
% 0.72/1.13 *** allocated 33750 integers for clauses
% 0.72/1.13 *** allocated 15000 integers for termspace/termends
% 0.72/1.13
% 0.72/1.13 Bliksems!, er is een bewijs:
% 0.72/1.13 % SZS status Unsatisfiable
% 0.72/1.13 % SZS output start Refutation
% 0.72/1.13
% 0.72/1.13 (3) {G0,W7,D2,L3,V2,M3} I { ! Y = X, ! cd( Y ), cd( X ) }.
% 0.72/1.13 (30) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X ) }.
% 0.72/1.13 (32) {G0,W4,D2,L2,V1,M2} I { ! alpha1( X ), alpha2( X ) }.
% 0.72/1.13 (33) {G0,W4,D2,L2,V1,M2} I { ! alpha1( X ), alpha3( X ) }.
% 0.72/1.13 (35) {G0,W4,D2,L2,V1,M2} I { ! alpha3( X ), alpha4( X ) }.
% 0.72/1.13 (36) {G0,W4,D2,L2,V1,M2} I { ! alpha3( X ), alpha5( X ) }.
% 0.72/1.13 (38) {G0,W5,D3,L2,V2,M2} I { ! alpha5( X ), cc( skol2( Y ) ) }.
% 0.72/1.13 (39) {G0,W6,D3,L2,V1,M2} I { ! alpha5( X ), rr( X, skol2( X ) ) }.
% 0.72/1.13 (41) {G0,W8,D2,L3,V2,M3} I { ! alpha4( X ), ! rr( X, Y ), ! alpha6( X, Y )
% 0.72/1.13 }.
% 0.72/1.13 (46) {G0,W9,D2,L3,V3,M3} I { ! rr( X, Z ), Y = Z, alpha6( X, Y ) }.
% 0.72/1.13 (47) {G0,W5,D3,L2,V2,M2} I { ! alpha2( X ), cd( skol5( Y ) ) }.
% 0.72/1.13 (48) {G0,W6,D3,L2,V1,M2} I { ! alpha2( X ), rr( X, skol5( X ) ) }.
% 0.72/1.13 (53) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( i2003_11_14_17_20_21603 ) }.
% 0.72/1.13 (55) {G0,W4,D2,L2,V1,M2} I { ! cd( X ), ! cc( X ) }.
% 0.72/1.13 (68) {G1,W4,D2,L2,V1,M2} R(33,35) { ! alpha1( X ), alpha4( X ) }.
% 0.72/1.13 (69) {G1,W4,D2,L2,V1,M2} R(33,36) { ! alpha1( X ), alpha5( X ) }.
% 0.72/1.13 (78) {G1,W2,D2,L1,V0,M1} R(30,53) { alpha1( i2003_11_14_17_20_21603 ) }.
% 0.72/1.13 (79) {G2,W2,D2,L1,V0,M1} R(78,32) { alpha2( i2003_11_14_17_20_21603 ) }.
% 0.72/1.13 (80) {G2,W2,D2,L1,V0,M1} R(78,69) { alpha5( i2003_11_14_17_20_21603 ) }.
% 0.72/1.13 (81) {G2,W2,D2,L1,V0,M1} R(78,68) { alpha4( i2003_11_14_17_20_21603 ) }.
% 0.72/1.13 (82) {G2,W2,D2,L1,V0,M1} R(78,33) { alpha3( i2003_11_14_17_20_21603 ) }.
% 0.72/1.13 (99) {G3,W3,D3,L1,V1,M1} R(47,79) { cd( skol5( X ) ) }.
% 0.72/1.13 (117) {G3,W3,D3,L1,V1,M1} R(38,80) { cc( skol2( X ) ) }.
% 0.72/1.13 (124) {G4,W3,D3,L1,V1,M1} R(117,55) { ! cd( skol2( X ) ) }.
% 0.72/1.13 (127) {G5,W6,D3,L2,V2,M2} R(124,3) { ! X = skol2( Y ), ! cd( X ) }.
% 0.72/1.13 (153) {G6,W5,D3,L1,V2,M1} R(127,99) { ! skol5( X ) = skol2( Y ) }.
% 0.72/1.13 (172) {G3,W4,D3,L1,V0,M1} R(48,79) { rr( i2003_11_14_17_20_21603, skol5(
% 0.72/1.13 i2003_11_14_17_20_21603 ) ) }.
% 0.72/1.13 (197) {G1,W6,D3,L2,V1,M2} R(39,36) { rr( X, skol2( X ) ), ! alpha3( X ) }.
% 0.72/1.13 (371) {G4,W4,D3,L1,V0,M1} R(41,172);r(81) { ! alpha6(
% 0.72/1.13 i2003_11_14_17_20_21603, skol5( i2003_11_14_17_20_21603 ) ) }.
% 0.72/1.13 (421) {G5,W7,D3,L2,V1,M2} R(46,371) { ! rr( i2003_11_14_17_20_21603, X ),
% 0.72/1.13 skol5( i2003_11_14_17_20_21603 ) = X }.
% 0.72/1.13 (712) {G7,W4,D3,L1,V1,M1} R(421,153) { ! rr( i2003_11_14_17_20_21603, skol2
% 0.72/1.13 ( X ) ) }.
% 0.72/1.13 (802) {G8,W0,D0,L0,V0,M0} R(712,197);r(82) { }.
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 % SZS output end Refutation
% 0.72/1.13 found a proof!
% 0.72/1.13
% 0.72/1.13 *** allocated 50625 integers for clauses
% 0.72/1.13
% 0.72/1.13 Unprocessed initial clauses:
% 0.72/1.13
% 0.72/1.13 (804) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cUnsatisfiable( Y ), cUnsatisfiable
% 0.72/1.13 ( X ) }.
% 0.72/1.13 (805) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! ca( Y ), ca( X ) }.
% 0.72/1.13 (806) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cc( Y ), cc( X ) }.
% 0.72/1.13 (807) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cd( Y ), cd( X ) }.
% 0.72/1.13 (808) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! ce( Y ), ce( X ) }.
% 0.72/1.13 (809) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cowlNothing( Y ), cowlNothing( X )
% 0.72/1.13 }.
% 0.72/1.13 (810) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cowlThing( Y ), cowlThing( X ) }.
% 0.72/1.13 (811) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rr( Z, Y ), rr( X, Y ) }.
% 0.72/1.13 (812) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rr( Y, Z ), rr( Y, X ) }.
% 0.72/1.13 (813) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rr1( Z, Y ), rr1( X, Y ) }.
% 0.72/1.13 (814) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rr1( Y, Z ), rr1( Y, X ) }.
% 0.72/1.13 (815) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rr2( Z, Y ), rr2( X, Y ) }.
% 0.72/1.13 (816) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rr2( Y, Z ), rr2( Y, X ) }.
% 0.72/1.13 (817) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rr3( Z, Y ), rr3( X, Y ) }.
% 0.72/1.13 (818) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rr3( Y, Z ), rr3( Y, X ) }.
% 0.72/1.13 (819) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rt1( Z, Y ), rt1( X, Y ) }.
% 0.72/1.13 (820) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rt1( Y, Z ), rt1( Y, X ) }.
% 0.72/1.13 (821) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rt2( Z, Y ), rt2( X, Y ) }.
% 0.72/1.13 (822) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rt2( Y, Z ), rt2( Y, X ) }.
% 0.72/1.13 (823) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rt3( Z, Y ), rt3( X, Y ) }.
% 0.72/1.13 (824) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rt3( Y, Z ), rt3( Y, X ) }.
% 0.72/1.13 (825) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rtt( Z, Y ), rtt( X, Y ) }.
% 0.72/1.13 (826) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rtt( Y, Z ), rtt( Y, X ) }.
% 0.72/1.13 (827) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! xsd_integer( Y ), xsd_integer( X )
% 0.72/1.13 }.
% 0.72/1.13 (828) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! xsd_string( Y ), xsd_string( X )
% 0.72/1.13 }.
% 0.72/1.13 (829) {G0,W2,D2,L1,V1,M1} { cowlThing( X ) }.
% 0.72/1.13 (830) {G0,W2,D2,L1,V1,M1} { ! cowlNothing( X ) }.
% 0.72/1.13 (831) {G0,W4,D2,L2,V1,M2} { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.72/1.13 (832) {G0,W4,D2,L2,V1,M2} { xsd_integer( X ), xsd_string( X ) }.
% 0.72/1.13 (833) {G0,W6,D3,L2,V1,M2} { ! cUnsatisfiable( X ), rr( X, skol1( X ) ) }.
% 0.72/1.13 (834) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), alpha1( X ) }.
% 0.72/1.13 (835) {G0,W7,D2,L3,V2,M3} { ! rr( X, Y ), ! alpha1( X ), cUnsatisfiable( X
% 0.72/1.13 ) }.
% 0.72/1.13 (836) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), alpha2( X ) }.
% 0.72/1.13 (837) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), alpha3( X ) }.
% 0.72/1.13 (838) {G0,W6,D2,L3,V1,M3} { ! alpha2( X ), ! alpha3( X ), alpha1( X ) }.
% 0.72/1.13 (839) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), alpha4( X ) }.
% 0.72/1.13 (840) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), alpha5( X ) }.
% 0.72/1.13 (841) {G0,W6,D2,L3,V1,M3} { ! alpha4( X ), ! alpha5( X ), alpha3( X ) }.
% 0.72/1.13 (842) {G0,W5,D3,L2,V2,M2} { ! alpha5( X ), cc( skol2( Y ) ) }.
% 0.72/1.13 (843) {G0,W6,D3,L2,V1,M2} { ! alpha5( X ), rr( X, skol2( X ) ) }.
% 0.72/1.13 (844) {G0,W7,D2,L3,V2,M3} { ! rr( X, Y ), ! cc( Y ), alpha5( X ) }.
% 0.72/1.13 (845) {G0,W8,D2,L3,V2,M3} { ! alpha4( X ), ! rr( X, Y ), ! alpha6( X, Y )
% 0.72/1.13 }.
% 0.72/1.13 (846) {G0,W6,D3,L2,V1,M2} { rr( X, skol3( X ) ), alpha4( X ) }.
% 0.72/1.13 (847) {G0,W6,D3,L2,V1,M2} { alpha6( X, skol3( X ) ), alpha4( X ) }.
% 0.72/1.13 (848) {G0,W8,D3,L2,V3,M2} { ! alpha6( X, Y ), ! Y = skol4( Z, Y ) }.
% 0.72/1.13 (849) {G0,W8,D3,L2,V2,M2} { ! alpha6( X, Y ), rr( X, skol4( X, Y ) ) }.
% 0.72/1.13 (850) {G0,W9,D2,L3,V3,M3} { ! rr( X, Z ), Y = Z, alpha6( X, Y ) }.
% 0.72/1.13 (851) {G0,W5,D3,L2,V2,M2} { ! alpha2( X ), cd( skol5( Y ) ) }.
% 0.72/1.13 (852) {G0,W6,D3,L2,V1,M2} { ! alpha2( X ), rr( X, skol5( X ) ) }.
% 0.72/1.13 (853) {G0,W7,D2,L3,V2,M3} { ! rr( X, Y ), ! cd( Y ), alpha2( X ) }.
% 0.72/1.13 (854) {G0,W6,D2,L3,V1,M3} { ! ca( X ), cd( X ), cc( X ) }.
% 0.72/1.13 (855) {G0,W4,D2,L2,V1,M2} { ! cd( X ), ca( X ) }.
% 0.72/1.13 (856) {G0,W4,D2,L2,V1,M2} { ! cc( X ), ca( X ) }.
% 0.72/1.13 (857) {G0,W2,D2,L1,V0,M1} { cUnsatisfiable( i2003_11_14_17_20_21603 ) }.
% 0.72/1.13 (858) {G0,W4,D2,L2,V1,M2} { ! cd( X ), ! ce( X ) }.
% 0.72/1.13 (859) {G0,W4,D2,L2,V1,M2} { ! cd( X ), ! cc( X ) }.
% 0.72/1.13 (860) {G0,W4,D2,L2,V1,M2} { ! ce( X ), ! cc( X ) }.
% 0.72/1.13 (861) {G0,W6,D2,L2,V2,M2} { ! rt3( X, Y ), rtt( X, Y ) }.
% 0.72/1.13 (862) {G0,W6,D2,L2,V2,M2} { ! rr1( X, Y ), rr( X, Y ) }.
% 0.72/1.13 (863) {G0,W6,D2,L2,V2,M2} { ! rr3( X, Y ), rr( X, Y ) }.
% 0.72/1.13 (864) {G0,W6,D2,L2,V2,M2} { ! rt1( X, Y ), rtt( X, Y ) }.
% 0.72/1.13 (865) {G0,W6,D2,L2,V2,M2} { ! rr2( X, Y ), rr( X, Y ) }.
% 0.72/1.13 (866) {G0,W6,D2,L2,V2,M2} { ! rt2( X, Y ), rtt( X, Y ) }.
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Total Proof:
% 0.72/1.13
% 0.72/1.13 subsumption: (3) {G0,W7,D2,L3,V2,M3} I { ! Y = X, ! cd( Y ), cd( X ) }.
% 0.72/1.13 parent0: (807) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cd( Y ), cd( X ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 Y := Y
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 1 ==> 1
% 0.72/1.13 2 ==> 2
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (30) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X
% 0.72/1.13 ) }.
% 0.72/1.13 parent0: (834) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), alpha1( X )
% 0.72/1.13 }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 1 ==> 1
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (32) {G0,W4,D2,L2,V1,M2} I { ! alpha1( X ), alpha2( X ) }.
% 0.72/1.13 parent0: (836) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), alpha2( X ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 1 ==> 1
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (33) {G0,W4,D2,L2,V1,M2} I { ! alpha1( X ), alpha3( X ) }.
% 0.72/1.13 parent0: (837) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), alpha3( X ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 1 ==> 1
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (35) {G0,W4,D2,L2,V1,M2} I { ! alpha3( X ), alpha4( X ) }.
% 0.72/1.13 parent0: (839) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), alpha4( X ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 1 ==> 1
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (36) {G0,W4,D2,L2,V1,M2} I { ! alpha3( X ), alpha5( X ) }.
% 0.72/1.13 parent0: (840) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), alpha5( X ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 1 ==> 1
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (38) {G0,W5,D3,L2,V2,M2} I { ! alpha5( X ), cc( skol2( Y ) )
% 0.72/1.13 }.
% 0.72/1.13 parent0: (842) {G0,W5,D3,L2,V2,M2} { ! alpha5( X ), cc( skol2( Y ) ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 Y := Y
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 1 ==> 1
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (39) {G0,W6,D3,L2,V1,M2} I { ! alpha5( X ), rr( X, skol2( X )
% 0.72/1.13 ) }.
% 0.72/1.13 parent0: (843) {G0,W6,D3,L2,V1,M2} { ! alpha5( X ), rr( X, skol2( X ) )
% 0.72/1.13 }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 1 ==> 1
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (41) {G0,W8,D2,L3,V2,M3} I { ! alpha4( X ), ! rr( X, Y ), !
% 0.72/1.13 alpha6( X, Y ) }.
% 0.72/1.13 parent0: (845) {G0,W8,D2,L3,V2,M3} { ! alpha4( X ), ! rr( X, Y ), ! alpha6
% 0.72/1.13 ( X, Y ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 Y := Y
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 1 ==> 1
% 0.72/1.13 2 ==> 2
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (46) {G0,W9,D2,L3,V3,M3} I { ! rr( X, Z ), Y = Z, alpha6( X, Y
% 0.72/1.13 ) }.
% 0.72/1.13 parent0: (850) {G0,W9,D2,L3,V3,M3} { ! rr( X, Z ), Y = Z, alpha6( X, Y )
% 0.72/1.13 }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 Y := Y
% 0.72/1.13 Z := Z
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 1 ==> 1
% 0.72/1.13 2 ==> 2
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (47) {G0,W5,D3,L2,V2,M2} I { ! alpha2( X ), cd( skol5( Y ) )
% 0.72/1.13 }.
% 0.72/1.13 parent0: (851) {G0,W5,D3,L2,V2,M2} { ! alpha2( X ), cd( skol5( Y ) ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 Y := Y
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 1 ==> 1
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (48) {G0,W6,D3,L2,V1,M2} I { ! alpha2( X ), rr( X, skol5( X )
% 0.72/1.13 ) }.
% 0.72/1.13 parent0: (852) {G0,W6,D3,L2,V1,M2} { ! alpha2( X ), rr( X, skol5( X ) )
% 0.72/1.13 }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 1 ==> 1
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (53) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 0.72/1.13 i2003_11_14_17_20_21603 ) }.
% 0.72/1.13 parent0: (857) {G0,W2,D2,L1,V0,M1} { cUnsatisfiable(
% 0.72/1.13 i2003_11_14_17_20_21603 ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (55) {G0,W4,D2,L2,V1,M2} I { ! cd( X ), ! cc( X ) }.
% 0.72/1.13 parent0: (859) {G0,W4,D2,L2,V1,M2} { ! cd( X ), ! cc( X ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 1 ==> 1
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (1206) {G1,W4,D2,L2,V1,M2} { alpha4( X ), ! alpha1( X ) }.
% 0.72/1.13 parent0[0]: (35) {G0,W4,D2,L2,V1,M2} I { ! alpha3( X ), alpha4( X ) }.
% 0.72/1.13 parent1[1]: (33) {G0,W4,D2,L2,V1,M2} I { ! alpha1( X ), alpha3( X ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (68) {G1,W4,D2,L2,V1,M2} R(33,35) { ! alpha1( X ), alpha4( X )
% 0.72/1.13 }.
% 0.72/1.13 parent0: (1206) {G1,W4,D2,L2,V1,M2} { alpha4( X ), ! alpha1( X ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 1
% 0.72/1.13 1 ==> 0
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (1207) {G1,W4,D2,L2,V1,M2} { alpha5( X ), ! alpha1( X ) }.
% 0.72/1.13 parent0[0]: (36) {G0,W4,D2,L2,V1,M2} I { ! alpha3( X ), alpha5( X ) }.
% 0.72/1.13 parent1[1]: (33) {G0,W4,D2,L2,V1,M2} I { ! alpha1( X ), alpha3( X ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (69) {G1,W4,D2,L2,V1,M2} R(33,36) { ! alpha1( X ), alpha5( X )
% 0.72/1.13 }.
% 0.72/1.13 parent0: (1207) {G1,W4,D2,L2,V1,M2} { alpha5( X ), ! alpha1( X ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 1
% 0.72/1.13 1 ==> 0
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (1208) {G1,W2,D2,L1,V0,M1} { alpha1( i2003_11_14_17_20_21603 )
% 0.72/1.13 }.
% 0.72/1.13 parent0[0]: (30) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X )
% 0.72/1.13 }.
% 0.72/1.13 parent1[0]: (53) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 0.72/1.13 i2003_11_14_17_20_21603 ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := i2003_11_14_17_20_21603
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (78) {G1,W2,D2,L1,V0,M1} R(30,53) { alpha1(
% 0.72/1.13 i2003_11_14_17_20_21603 ) }.
% 0.72/1.13 parent0: (1208) {G1,W2,D2,L1,V0,M1} { alpha1( i2003_11_14_17_20_21603 )
% 0.72/1.13 }.
% 0.72/1.13 substitution0:
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (1209) {G1,W2,D2,L1,V0,M1} { alpha2( i2003_11_14_17_20_21603 )
% 0.72/1.13 }.
% 0.72/1.13 parent0[0]: (32) {G0,W4,D2,L2,V1,M2} I { ! alpha1( X ), alpha2( X ) }.
% 0.72/1.13 parent1[0]: (78) {G1,W2,D2,L1,V0,M1} R(30,53) { alpha1(
% 0.72/1.13 i2003_11_14_17_20_21603 ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := i2003_11_14_17_20_21603
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (79) {G2,W2,D2,L1,V0,M1} R(78,32) { alpha2(
% 0.72/1.13 i2003_11_14_17_20_21603 ) }.
% 0.72/1.13 parent0: (1209) {G1,W2,D2,L1,V0,M1} { alpha2( i2003_11_14_17_20_21603 )
% 0.72/1.13 }.
% 0.72/1.13 substitution0:
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (1210) {G2,W2,D2,L1,V0,M1} { alpha5( i2003_11_14_17_20_21603 )
% 0.72/1.13 }.
% 0.72/1.13 parent0[0]: (69) {G1,W4,D2,L2,V1,M2} R(33,36) { ! alpha1( X ), alpha5( X )
% 0.72/1.13 }.
% 0.72/1.13 parent1[0]: (78) {G1,W2,D2,L1,V0,M1} R(30,53) { alpha1(
% 0.72/1.13 i2003_11_14_17_20_21603 ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := i2003_11_14_17_20_21603
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (80) {G2,W2,D2,L1,V0,M1} R(78,69) { alpha5(
% 0.72/1.13 i2003_11_14_17_20_21603 ) }.
% 0.72/1.13 parent0: (1210) {G2,W2,D2,L1,V0,M1} { alpha5( i2003_11_14_17_20_21603 )
% 0.72/1.13 }.
% 0.72/1.13 substitution0:
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (1211) {G2,W2,D2,L1,V0,M1} { alpha4( i2003_11_14_17_20_21603 )
% 0.72/1.13 }.
% 0.72/1.13 parent0[0]: (68) {G1,W4,D2,L2,V1,M2} R(33,35) { ! alpha1( X ), alpha4( X )
% 0.72/1.13 }.
% 0.72/1.13 parent1[0]: (78) {G1,W2,D2,L1,V0,M1} R(30,53) { alpha1(
% 0.72/1.13 i2003_11_14_17_20_21603 ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := i2003_11_14_17_20_21603
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (81) {G2,W2,D2,L1,V0,M1} R(78,68) { alpha4(
% 0.72/1.13 i2003_11_14_17_20_21603 ) }.
% 0.72/1.13 parent0: (1211) {G2,W2,D2,L1,V0,M1} { alpha4( i2003_11_14_17_20_21603 )
% 0.72/1.13 }.
% 0.72/1.13 substitution0:
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (1212) {G1,W2,D2,L1,V0,M1} { alpha3( i2003_11_14_17_20_21603 )
% 0.72/1.13 }.
% 0.72/1.13 parent0[0]: (33) {G0,W4,D2,L2,V1,M2} I { ! alpha1( X ), alpha3( X ) }.
% 0.72/1.13 parent1[0]: (78) {G1,W2,D2,L1,V0,M1} R(30,53) { alpha1(
% 0.72/1.13 i2003_11_14_17_20_21603 ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := i2003_11_14_17_20_21603
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (82) {G2,W2,D2,L1,V0,M1} R(78,33) { alpha3(
% 0.72/1.13 i2003_11_14_17_20_21603 ) }.
% 0.72/1.13 parent0: (1212) {G1,W2,D2,L1,V0,M1} { alpha3( i2003_11_14_17_20_21603 )
% 0.72/1.13 }.
% 0.72/1.13 substitution0:
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (1213) {G1,W3,D3,L1,V1,M1} { cd( skol5( X ) ) }.
% 0.72/1.13 parent0[0]: (47) {G0,W5,D3,L2,V2,M2} I { ! alpha2( X ), cd( skol5( Y ) )
% 0.72/1.13 }.
% 0.72/1.13 parent1[0]: (79) {G2,W2,D2,L1,V0,M1} R(78,32) { alpha2(
% 0.72/1.13 i2003_11_14_17_20_21603 ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := i2003_11_14_17_20_21603
% 0.72/1.13 Y := X
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (99) {G3,W3,D3,L1,V1,M1} R(47,79) { cd( skol5( X ) ) }.
% 0.72/1.13 parent0: (1213) {G1,W3,D3,L1,V1,M1} { cd( skol5( X ) ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (1214) {G1,W3,D3,L1,V1,M1} { cc( skol2( X ) ) }.
% 0.72/1.13 parent0[0]: (38) {G0,W5,D3,L2,V2,M2} I { ! alpha5( X ), cc( skol2( Y ) )
% 0.72/1.13 }.
% 0.72/1.13 parent1[0]: (80) {G2,W2,D2,L1,V0,M1} R(78,69) { alpha5(
% 0.72/1.13 i2003_11_14_17_20_21603 ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := i2003_11_14_17_20_21603
% 0.72/1.13 Y := X
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (117) {G3,W3,D3,L1,V1,M1} R(38,80) { cc( skol2( X ) ) }.
% 0.72/1.13 parent0: (1214) {G1,W3,D3,L1,V1,M1} { cc( skol2( X ) ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (1215) {G1,W3,D3,L1,V1,M1} { ! cd( skol2( X ) ) }.
% 0.72/1.13 parent0[1]: (55) {G0,W4,D2,L2,V1,M2} I { ! cd( X ), ! cc( X ) }.
% 0.72/1.13 parent1[0]: (117) {G3,W3,D3,L1,V1,M1} R(38,80) { cc( skol2( X ) ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := skol2( X )
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (124) {G4,W3,D3,L1,V1,M1} R(117,55) { ! cd( skol2( X ) ) }.
% 0.72/1.13 parent0: (1215) {G1,W3,D3,L1,V1,M1} { ! cd( skol2( X ) ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 eqswap: (1216) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cd( X ), cd( Y ) }.
% 0.72/1.13 parent0[0]: (3) {G0,W7,D2,L3,V2,M3} I { ! Y = X, ! cd( Y ), cd( X ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := Y
% 0.72/1.13 Y := X
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (1217) {G1,W6,D3,L2,V2,M2} { ! skol2( X ) = Y, ! cd( Y ) }.
% 0.72/1.13 parent0[0]: (124) {G4,W3,D3,L1,V1,M1} R(117,55) { ! cd( skol2( X ) ) }.
% 0.72/1.13 parent1[2]: (1216) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cd( X ), cd( Y ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 X := Y
% 0.72/1.13 Y := skol2( X )
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 eqswap: (1218) {G1,W6,D3,L2,V2,M2} { ! Y = skol2( X ), ! cd( Y ) }.
% 0.72/1.13 parent0[0]: (1217) {G1,W6,D3,L2,V2,M2} { ! skol2( X ) = Y, ! cd( Y ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 Y := Y
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (127) {G5,W6,D3,L2,V2,M2} R(124,3) { ! X = skol2( Y ), ! cd( X
% 0.72/1.13 ) }.
% 0.72/1.13 parent0: (1218) {G1,W6,D3,L2,V2,M2} { ! Y = skol2( X ), ! cd( Y ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := Y
% 0.72/1.13 Y := X
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 1 ==> 1
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 eqswap: (1219) {G5,W6,D3,L2,V2,M2} { ! skol2( Y ) = X, ! cd( X ) }.
% 0.72/1.13 parent0[0]: (127) {G5,W6,D3,L2,V2,M2} R(124,3) { ! X = skol2( Y ), ! cd( X
% 0.72/1.13 ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 Y := Y
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (1220) {G4,W5,D3,L1,V2,M1} { ! skol2( X ) = skol5( Y ) }.
% 0.72/1.13 parent0[1]: (1219) {G5,W6,D3,L2,V2,M2} { ! skol2( Y ) = X, ! cd( X ) }.
% 0.72/1.13 parent1[0]: (99) {G3,W3,D3,L1,V1,M1} R(47,79) { cd( skol5( X ) ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := skol5( Y )
% 0.72/1.13 Y := X
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 X := Y
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 eqswap: (1221) {G4,W5,D3,L1,V2,M1} { ! skol5( Y ) = skol2( X ) }.
% 0.72/1.13 parent0[0]: (1220) {G4,W5,D3,L1,V2,M1} { ! skol2( X ) = skol5( Y ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 Y := Y
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (153) {G6,W5,D3,L1,V2,M1} R(127,99) { ! skol5( X ) = skol2( Y
% 0.72/1.13 ) }.
% 0.72/1.13 parent0: (1221) {G4,W5,D3,L1,V2,M1} { ! skol5( Y ) = skol2( X ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := Y
% 0.72/1.13 Y := X
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (1222) {G1,W4,D3,L1,V0,M1} { rr( i2003_11_14_17_20_21603,
% 0.72/1.13 skol5( i2003_11_14_17_20_21603 ) ) }.
% 0.72/1.13 parent0[0]: (48) {G0,W6,D3,L2,V1,M2} I { ! alpha2( X ), rr( X, skol5( X ) )
% 0.72/1.13 }.
% 0.72/1.13 parent1[0]: (79) {G2,W2,D2,L1,V0,M1} R(78,32) { alpha2(
% 0.72/1.13 i2003_11_14_17_20_21603 ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := i2003_11_14_17_20_21603
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (172) {G3,W4,D3,L1,V0,M1} R(48,79) { rr(
% 0.72/1.13 i2003_11_14_17_20_21603, skol5( i2003_11_14_17_20_21603 ) ) }.
% 0.72/1.13 parent0: (1222) {G1,W4,D3,L1,V0,M1} { rr( i2003_11_14_17_20_21603, skol5(
% 0.72/1.13 i2003_11_14_17_20_21603 ) ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (1223) {G1,W6,D3,L2,V1,M2} { rr( X, skol2( X ) ), ! alpha3( X
% 0.72/1.13 ) }.
% 0.72/1.13 parent0[0]: (39) {G0,W6,D3,L2,V1,M2} I { ! alpha5( X ), rr( X, skol2( X ) )
% 0.72/1.13 }.
% 0.72/1.13 parent1[1]: (36) {G0,W4,D2,L2,V1,M2} I { ! alpha3( X ), alpha5( X ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (197) {G1,W6,D3,L2,V1,M2} R(39,36) { rr( X, skol2( X ) ), !
% 0.72/1.13 alpha3( X ) }.
% 0.72/1.13 parent0: (1223) {G1,W6,D3,L2,V1,M2} { rr( X, skol2( X ) ), ! alpha3( X )
% 0.72/1.13 }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 1 ==> 1
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (1224) {G1,W6,D3,L2,V0,M2} { ! alpha4( i2003_11_14_17_20_21603
% 0.72/1.13 ), ! alpha6( i2003_11_14_17_20_21603, skol5( i2003_11_14_17_20_21603 ) )
% 0.72/1.13 }.
% 0.72/1.13 parent0[1]: (41) {G0,W8,D2,L3,V2,M3} I { ! alpha4( X ), ! rr( X, Y ), !
% 0.72/1.13 alpha6( X, Y ) }.
% 0.72/1.13 parent1[0]: (172) {G3,W4,D3,L1,V0,M1} R(48,79) { rr(
% 0.72/1.13 i2003_11_14_17_20_21603, skol5( i2003_11_14_17_20_21603 ) ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := i2003_11_14_17_20_21603
% 0.72/1.13 Y := skol5( i2003_11_14_17_20_21603 )
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (1225) {G2,W4,D3,L1,V0,M1} { ! alpha6( i2003_11_14_17_20_21603
% 0.72/1.13 , skol5( i2003_11_14_17_20_21603 ) ) }.
% 0.72/1.13 parent0[0]: (1224) {G1,W6,D3,L2,V0,M2} { ! alpha4( i2003_11_14_17_20_21603
% 0.72/1.13 ), ! alpha6( i2003_11_14_17_20_21603, skol5( i2003_11_14_17_20_21603 ) )
% 0.72/1.13 }.
% 0.72/1.13 parent1[0]: (81) {G2,W2,D2,L1,V0,M1} R(78,68) { alpha4(
% 0.72/1.13 i2003_11_14_17_20_21603 ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (371) {G4,W4,D3,L1,V0,M1} R(41,172);r(81) { ! alpha6(
% 0.72/1.13 i2003_11_14_17_20_21603, skol5( i2003_11_14_17_20_21603 ) ) }.
% 0.72/1.13 parent0: (1225) {G2,W4,D3,L1,V0,M1} { ! alpha6( i2003_11_14_17_20_21603,
% 0.72/1.13 skol5( i2003_11_14_17_20_21603 ) ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 eqswap: (1226) {G0,W9,D2,L3,V3,M3} { Y = X, ! rr( Z, Y ), alpha6( Z, X )
% 0.72/1.13 }.
% 0.72/1.13 parent0[1]: (46) {G0,W9,D2,L3,V3,M3} I { ! rr( X, Z ), Y = Z, alpha6( X, Y
% 0.72/1.13 ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := Z
% 0.72/1.13 Y := X
% 0.72/1.13 Z := Y
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (1227) {G1,W7,D3,L2,V1,M2} { X = skol5(
% 0.72/1.13 i2003_11_14_17_20_21603 ), ! rr( i2003_11_14_17_20_21603, X ) }.
% 0.72/1.13 parent0[0]: (371) {G4,W4,D3,L1,V0,M1} R(41,172);r(81) { ! alpha6(
% 0.72/1.13 i2003_11_14_17_20_21603, skol5( i2003_11_14_17_20_21603 ) ) }.
% 0.72/1.13 parent1[2]: (1226) {G0,W9,D2,L3,V3,M3} { Y = X, ! rr( Z, Y ), alpha6( Z, X
% 0.72/1.13 ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 X := skol5( i2003_11_14_17_20_21603 )
% 0.72/1.13 Y := X
% 0.72/1.13 Z := i2003_11_14_17_20_21603
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 eqswap: (1228) {G1,W7,D3,L2,V1,M2} { skol5( i2003_11_14_17_20_21603 ) = X
% 0.72/1.13 , ! rr( i2003_11_14_17_20_21603, X ) }.
% 0.72/1.13 parent0[0]: (1227) {G1,W7,D3,L2,V1,M2} { X = skol5(
% 0.72/1.13 i2003_11_14_17_20_21603 ), ! rr( i2003_11_14_17_20_21603, X ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (421) {G5,W7,D3,L2,V1,M2} R(46,371) { ! rr(
% 0.72/1.13 i2003_11_14_17_20_21603, X ), skol5( i2003_11_14_17_20_21603 ) = X }.
% 0.72/1.13 parent0: (1228) {G1,W7,D3,L2,V1,M2} { skol5( i2003_11_14_17_20_21603 ) = X
% 0.72/1.13 , ! rr( i2003_11_14_17_20_21603, X ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 1
% 0.72/1.13 1 ==> 0
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 eqswap: (1229) {G5,W7,D3,L2,V1,M2} { X = skol5( i2003_11_14_17_20_21603 )
% 0.72/1.13 , ! rr( i2003_11_14_17_20_21603, X ) }.
% 0.72/1.13 parent0[1]: (421) {G5,W7,D3,L2,V1,M2} R(46,371) { ! rr(
% 0.72/1.13 i2003_11_14_17_20_21603, X ), skol5( i2003_11_14_17_20_21603 ) = X }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 eqswap: (1230) {G6,W5,D3,L1,V2,M1} { ! skol2( Y ) = skol5( X ) }.
% 0.72/1.13 parent0[0]: (153) {G6,W5,D3,L1,V2,M1} R(127,99) { ! skol5( X ) = skol2( Y )
% 0.72/1.13 }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 Y := Y
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (1231) {G6,W4,D3,L1,V1,M1} { ! rr( i2003_11_14_17_20_21603,
% 0.72/1.13 skol2( X ) ) }.
% 0.72/1.13 parent0[0]: (1230) {G6,W5,D3,L1,V2,M1} { ! skol2( Y ) = skol5( X ) }.
% 0.72/1.13 parent1[0]: (1229) {G5,W7,D3,L2,V1,M2} { X = skol5(
% 0.72/1.13 i2003_11_14_17_20_21603 ), ! rr( i2003_11_14_17_20_21603, X ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := i2003_11_14_17_20_21603
% 0.72/1.13 Y := X
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 X := skol2( X )
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (712) {G7,W4,D3,L1,V1,M1} R(421,153) { ! rr(
% 0.72/1.13 i2003_11_14_17_20_21603, skol2( X ) ) }.
% 0.72/1.13 parent0: (1231) {G6,W4,D3,L1,V1,M1} { ! rr( i2003_11_14_17_20_21603, skol2
% 0.72/1.13 ( X ) ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (1232) {G2,W2,D2,L1,V0,M1} { ! alpha3( i2003_11_14_17_20_21603
% 0.72/1.13 ) }.
% 0.72/1.13 parent0[0]: (712) {G7,W4,D3,L1,V1,M1} R(421,153) { ! rr(
% 0.72/1.13 i2003_11_14_17_20_21603, skol2( X ) ) }.
% 0.72/1.13 parent1[0]: (197) {G1,W6,D3,L2,V1,M2} R(39,36) { rr( X, skol2( X ) ), !
% 0.72/1.13 alpha3( X ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := i2003_11_14_17_20_21603
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 X := i2003_11_14_17_20_21603
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (1233) {G3,W0,D0,L0,V0,M0} { }.
% 0.72/1.13 parent0[0]: (1232) {G2,W2,D2,L1,V0,M1} { ! alpha3( i2003_11_14_17_20_21603
% 0.72/1.13 ) }.
% 0.72/1.13 parent1[0]: (82) {G2,W2,D2,L1,V0,M1} R(78,33) { alpha3(
% 0.72/1.13 i2003_11_14_17_20_21603 ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (802) {G8,W0,D0,L0,V0,M0} R(712,197);r(82) { }.
% 0.72/1.13 parent0: (1233) {G3,W0,D0,L0,V0,M0} { }.
% 0.72/1.13 substitution0:
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 Proof check complete!
% 0.72/1.13
% 0.72/1.13 Memory use:
% 0.72/1.13
% 0.72/1.13 space for terms: 10101
% 0.72/1.13 space for clauses: 32544
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 clauses generated: 1960
% 0.72/1.13 clauses kept: 803
% 0.72/1.13 clauses selected: 160
% 0.72/1.13 clauses deleted: 12
% 0.72/1.13 clauses inuse deleted: 0
% 0.72/1.13
% 0.72/1.13 subsentry: 4955
% 0.72/1.13 literals s-matched: 4644
% 0.72/1.13 literals matched: 4644
% 0.72/1.13 full subsumption: 1277
% 0.72/1.13
% 0.72/1.13 checksum: 1460864455
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Bliksem ended
%------------------------------------------------------------------------------