TSTP Solution File: KRS074+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : KRS074+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.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 02:42:09 EDT 2022
% Result : Unsatisfiable 0.44s 0.86s
% Output : Refutation 0.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : KRS074+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.07 % Command : bliksem %s
% 0.07/0.26 % Computer : n020.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % DateTime : Tue Jun 7 18:20:36 EDT 2022
% 0.07/0.26 % CPUTime :
% 0.44/0.86 *** allocated 10000 integers for termspace/termends
% 0.44/0.86 *** allocated 10000 integers for clauses
% 0.44/0.86 *** allocated 10000 integers for justifications
% 0.44/0.86 Bliksem 1.12
% 0.44/0.86
% 0.44/0.86
% 0.44/0.86 Automatic Strategy Selection
% 0.44/0.86
% 0.44/0.86
% 0.44/0.86 Clauses:
% 0.44/0.86
% 0.44/0.86 { ! Y = X, ! cUnsatisfiable( Y ), cUnsatisfiable( X ) }.
% 0.44/0.86 { ! Y = X, ! cowlNothing( Y ), cowlNothing( X ) }.
% 0.44/0.86 { ! Y = X, ! cowlThing( Y ), cowlThing( X ) }.
% 0.44/0.86 { ! Y = X, ! cp( Y ), cp( X ) }.
% 0.44/0.86 { ! Z = X, ! rf( Z, Y ), rf( X, Y ) }.
% 0.44/0.86 { ! Z = X, ! rf( Y, Z ), rf( Y, X ) }.
% 0.44/0.86 { ! Z = X, ! rf1( Z, Y ), rf1( X, Y ) }.
% 0.44/0.86 { ! Z = X, ! rf1( Y, Z ), rf1( Y, X ) }.
% 0.44/0.86 { ! Z = X, ! rinvF( Z, Y ), rinvF( X, Y ) }.
% 0.44/0.86 { ! Z = X, ! rinvF( Y, Z ), rinvF( Y, X ) }.
% 0.44/0.86 { ! Z = X, ! rinvF1( Z, Y ), rinvF1( X, Y ) }.
% 0.44/0.86 { ! Z = X, ! rinvF1( Y, Z ), rinvF1( Y, X ) }.
% 0.44/0.86 { ! Z = X, ! rinvS( Z, Y ), rinvS( X, Y ) }.
% 0.44/0.86 { ! Z = X, ! rinvS( Y, Z ), rinvS( Y, X ) }.
% 0.44/0.86 { ! Z = X, ! rs( Z, Y ), rs( X, Y ) }.
% 0.44/0.86 { ! Z = X, ! rs( Y, Z ), rs( Y, X ) }.
% 0.44/0.86 { ! Y = X, ! xsd_integer( Y ), xsd_integer( X ) }.
% 0.44/0.86 { ! Y = X, ! xsd_string( Y ), xsd_string( X ) }.
% 0.44/0.86 { cowlThing( X ) }.
% 0.44/0.86 { ! cowlNothing( X ) }.
% 0.44/0.86 { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.44/0.86 { xsd_integer( X ), xsd_string( X ) }.
% 0.44/0.86 { ! cUnsatisfiable( X ), alpha1( X ) }.
% 0.44/0.86 { ! cUnsatisfiable( X ), alpha2( X ) }.
% 0.44/0.86 { ! alpha1( X ), ! alpha2( X ), cUnsatisfiable( X ) }.
% 0.44/0.86 { ! alpha2( X ), ! rs( X, Y ), ! cp( Y ) }.
% 0.44/0.86 { cp( skol1( Y ) ), alpha2( X ) }.
% 0.44/0.86 { rs( X, skol1( X ) ), alpha2( X ) }.
% 0.44/0.86 { ! alpha1( X ), alpha3( skol2( Y ) ) }.
% 0.44/0.86 { ! alpha1( X ), rs( X, skol2( X ) ) }.
% 0.44/0.86 { ! rs( X, Y ), ! alpha3( Y ), alpha1( X ) }.
% 0.44/0.86 { ! alpha3( X ), cp( X ) }.
% 0.44/0.86 { ! alpha3( X ), alpha4( X ) }.
% 0.44/0.86 { ! cp( X ), ! alpha4( X ), alpha3( X ) }.
% 0.44/0.86 { ! alpha4( X ), cp( skol3( Y ) ) }.
% 0.44/0.86 { ! alpha4( X ), rinvS( X, skol3( X ) ) }.
% 0.44/0.86 { ! rinvS( X, Y ), ! cp( Y ), alpha4( X ) }.
% 0.44/0.86 { ! rf( Z, X ), ! rf( Z, Y ), X = Y }.
% 0.44/0.86 { ! rf1( Z, X ), ! rf1( Z, Y ), X = Y }.
% 0.44/0.86 { ! rinvF( X, Y ), rf( Y, X ) }.
% 0.44/0.86 { ! rf( Y, X ), rinvF( X, Y ) }.
% 0.44/0.86 { ! rinvF1( X, Y ), rf1( Y, X ) }.
% 0.44/0.86 { ! rf1( Y, X ), rinvF1( X, Y ) }.
% 0.44/0.86 { ! rinvS( X, Y ), rs( Y, X ) }.
% 0.44/0.86 { ! rs( Y, X ), rinvS( X, Y ) }.
% 0.44/0.86 { ! rs( Z, X ), ! rs( Z, Y ), X = Y }.
% 0.44/0.86 { cUnsatisfiable( i2003_11_14_17_18_59896 ) }.
% 0.44/0.86 { ! rs( X, Y ), rf1( X, Y ) }.
% 0.44/0.86 { ! rs( X, Y ), rf( X, Y ) }.
% 0.44/0.86
% 0.44/0.86 percentage equality = 0.173554, percentage horn = 0.938776
% 0.44/0.86 This is a problem with some equality
% 0.44/0.86
% 0.44/0.86
% 0.44/0.86
% 0.44/0.86 Options Used:
% 0.44/0.86
% 0.44/0.86 useres = 1
% 0.44/0.86 useparamod = 1
% 0.44/0.86 useeqrefl = 1
% 0.44/0.86 useeqfact = 1
% 0.44/0.86 usefactor = 1
% 0.44/0.86 usesimpsplitting = 0
% 0.44/0.86 usesimpdemod = 5
% 0.44/0.86 usesimpres = 3
% 0.44/0.86
% 0.44/0.86 resimpinuse = 1000
% 0.44/0.86 resimpclauses = 20000
% 0.44/0.86 substype = eqrewr
% 0.44/0.86 backwardsubs = 1
% 0.44/0.86 selectoldest = 5
% 0.44/0.86
% 0.44/0.86 litorderings [0] = split
% 0.44/0.86 litorderings [1] = extend the termordering, first sorting on arguments
% 0.44/0.86
% 0.44/0.86 termordering = kbo
% 0.44/0.86
% 0.44/0.86 litapriori = 0
% 0.44/0.86 termapriori = 1
% 0.44/0.86 litaposteriori = 0
% 0.44/0.86 termaposteriori = 0
% 0.44/0.86 demodaposteriori = 0
% 0.44/0.86 ordereqreflfact = 0
% 0.44/0.86
% 0.44/0.86 litselect = negord
% 0.44/0.86
% 0.44/0.86 maxweight = 15
% 0.44/0.86 maxdepth = 30000
% 0.44/0.86 maxlength = 115
% 0.44/0.86 maxnrvars = 195
% 0.44/0.86 excuselevel = 1
% 0.44/0.86 increasemaxweight = 1
% 0.44/0.86
% 0.44/0.86 maxselected = 10000000
% 0.44/0.86 maxnrclauses = 10000000
% 0.44/0.86
% 0.44/0.86 showgenerated = 0
% 0.44/0.86 showkept = 0
% 0.44/0.86 showselected = 0
% 0.44/0.86 showdeleted = 0
% 0.44/0.86 showresimp = 1
% 0.44/0.86 showstatus = 2000
% 0.44/0.86
% 0.44/0.86 prologoutput = 0
% 0.44/0.86 nrgoals = 5000000
% 0.44/0.86 totalproof = 1
% 0.44/0.86
% 0.44/0.86 Symbols occurring in the translation:
% 0.44/0.86
% 0.44/0.86 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.44/0.86 . [1, 2] (w:1, o:31, a:1, s:1, b:0),
% 0.44/0.86 ! [4, 1] (w:0, o:13, a:1, s:1, b:0),
% 0.44/0.86 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/0.86 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/0.86 cUnsatisfiable [37, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.44/0.86 cowlNothing [38, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.44/0.86 cowlThing [39, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.44/0.86 cp [40, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.44/0.86 rf [42, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.44/0.86 rf1 [43, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.44/0.86 rinvF [44, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.44/0.86 rinvF1 [45, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.44/0.86 rinvS [46, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.44/0.86 rs [47, 2] (w:1, o:60, a:1, s:1, b:0),
% 0.44/0.86 xsd_integer [48, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.44/0.86 xsd_string [49, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.44/0.86 i2003_11_14_17_18_59896 [53, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.44/0.86 alpha1 [54, 1] (w:1, o:24, a:1, s:1, b:1),
% 0.44/0.86 alpha2 [55, 1] (w:1, o:25, a:1, s:1, b:1),
% 0.44/0.86 alpha3 [56, 1] (w:1, o:26, a:1, s:1, b:1),
% 0.44/0.86 alpha4 [57, 1] (w:1, o:27, a:1, s:1, b:1),
% 0.44/0.86 skol1 [58, 1] (w:1, o:28, a:1, s:1, b:1),
% 0.44/0.86 skol2 [59, 1] (w:1, o:29, a:1, s:1, b:1),
% 0.44/0.86 skol3 [60, 1] (w:1, o:30, a:1, s:1, b:1).
% 0.44/0.86
% 0.44/0.86
% 0.44/0.86 Starting Search:
% 0.44/0.86
% 0.44/0.86 *** allocated 15000 integers for clauses
% 0.44/0.86
% 0.44/0.86 Bliksems!, er is een bewijs:
% 0.44/0.86 % SZS status Unsatisfiable
% 0.44/0.86 % SZS output start Refutation
% 0.44/0.86
% 0.44/0.86 (22) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X ) }.
% 0.44/0.86 (23) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha2( X ) }.
% 0.44/0.86 (25) {G0,W7,D2,L3,V2,M3} I { ! alpha2( X ), ! rs( X, Y ), ! cp( Y ) }.
% 0.44/0.86 (28) {G0,W5,D3,L2,V2,M2} I { ! alpha1( X ), alpha3( skol2( Y ) ) }.
% 0.44/0.86 (29) {G0,W6,D3,L2,V1,M2} I { ! alpha1( X ), rs( X, skol2( X ) ) }.
% 0.44/0.86 (31) {G0,W4,D2,L2,V1,M2} I { ! alpha3( X ), cp( X ) }.
% 0.44/0.86 (46) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( i2003_11_14_17_18_59896 ) }.
% 0.44/0.86 (52) {G1,W2,D2,L1,V0,M1} R(23,46) { alpha2( i2003_11_14_17_18_59896 ) }.
% 0.44/0.86 (54) {G1,W2,D2,L1,V0,M1} R(22,46) { alpha1( i2003_11_14_17_18_59896 ) }.
% 0.44/0.86 (61) {G2,W3,D3,L1,V1,M1} R(28,54) { alpha3( skol2( X ) ) }.
% 0.44/0.86 (69) {G3,W3,D3,L1,V1,M1} R(61,31) { cp( skol2( X ) ) }.
% 0.44/0.86 (180) {G2,W4,D3,L1,V0,M1} R(29,54) { rs( i2003_11_14_17_18_59896, skol2(
% 0.44/0.86 i2003_11_14_17_18_59896 ) ) }.
% 0.44/0.86 (267) {G3,W3,D3,L1,V0,M1} R(25,180);r(52) { ! cp( skol2(
% 0.44/0.86 i2003_11_14_17_18_59896 ) ) }.
% 0.44/0.86 (282) {G4,W0,D0,L0,V0,M0} S(267);r(69) { }.
% 0.44/0.86
% 0.44/0.86
% 0.44/0.86 % SZS output end Refutation
% 0.44/0.86 found a proof!
% 0.44/0.86
% 0.44/0.86
% 0.44/0.86 Unprocessed initial clauses:
% 0.44/0.86
% 0.44/0.86 (284) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cUnsatisfiable( Y ), cUnsatisfiable
% 0.44/0.86 ( X ) }.
% 0.44/0.86 (285) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cowlNothing( Y ), cowlNothing( X )
% 0.44/0.86 }.
% 0.44/0.86 (286) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cowlThing( Y ), cowlThing( X ) }.
% 0.44/0.86 (287) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cp( Y ), cp( X ) }.
% 0.44/0.86 (288) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rf( Z, Y ), rf( X, Y ) }.
% 0.44/0.86 (289) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rf( Y, Z ), rf( Y, X ) }.
% 0.44/0.86 (290) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rf1( Z, Y ), rf1( X, Y ) }.
% 0.44/0.86 (291) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rf1( Y, Z ), rf1( Y, X ) }.
% 0.44/0.86 (292) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvF( Z, Y ), rinvF( X, Y ) }.
% 0.44/0.86 (293) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvF( Y, Z ), rinvF( Y, X ) }.
% 0.44/0.86 (294) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvF1( Z, Y ), rinvF1( X, Y ) }.
% 0.44/0.86 (295) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvF1( Y, Z ), rinvF1( Y, X ) }.
% 0.44/0.86 (296) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvS( Z, Y ), rinvS( X, Y ) }.
% 0.44/0.86 (297) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvS( Y, Z ), rinvS( Y, X ) }.
% 0.44/0.86 (298) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rs( Z, Y ), rs( X, Y ) }.
% 0.44/0.86 (299) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rs( Y, Z ), rs( Y, X ) }.
% 0.44/0.86 (300) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! xsd_integer( Y ), xsd_integer( X )
% 0.44/0.86 }.
% 0.44/0.86 (301) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! xsd_string( Y ), xsd_string( X )
% 0.44/0.86 }.
% 0.44/0.86 (302) {G0,W2,D2,L1,V1,M1} { cowlThing( X ) }.
% 0.44/0.86 (303) {G0,W2,D2,L1,V1,M1} { ! cowlNothing( X ) }.
% 0.44/0.86 (304) {G0,W4,D2,L2,V1,M2} { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.44/0.86 (305) {G0,W4,D2,L2,V1,M2} { xsd_integer( X ), xsd_string( X ) }.
% 0.44/0.86 (306) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), alpha1( X ) }.
% 0.44/0.86 (307) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), alpha2( X ) }.
% 0.44/0.86 (308) {G0,W6,D2,L3,V1,M3} { ! alpha1( X ), ! alpha2( X ), cUnsatisfiable(
% 0.44/0.86 X ) }.
% 0.44/0.86 (309) {G0,W7,D2,L3,V2,M3} { ! alpha2( X ), ! rs( X, Y ), ! cp( Y ) }.
% 0.44/0.86 (310) {G0,W5,D3,L2,V2,M2} { cp( skol1( Y ) ), alpha2( X ) }.
% 0.44/0.86 (311) {G0,W6,D3,L2,V1,M2} { rs( X, skol1( X ) ), alpha2( X ) }.
% 0.44/0.86 (312) {G0,W5,D3,L2,V2,M2} { ! alpha1( X ), alpha3( skol2( Y ) ) }.
% 0.44/0.86 (313) {G0,W6,D3,L2,V1,M2} { ! alpha1( X ), rs( X, skol2( X ) ) }.
% 0.44/0.86 (314) {G0,W7,D2,L3,V2,M3} { ! rs( X, Y ), ! alpha3( Y ), alpha1( X ) }.
% 0.44/0.86 (315) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), cp( X ) }.
% 0.44/0.86 (316) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), alpha4( X ) }.
% 0.44/0.86 (317) {G0,W6,D2,L3,V1,M3} { ! cp( X ), ! alpha4( X ), alpha3( X ) }.
% 0.44/0.86 (318) {G0,W5,D3,L2,V2,M2} { ! alpha4( X ), cp( skol3( Y ) ) }.
% 0.44/0.86 (319) {G0,W6,D3,L2,V1,M2} { ! alpha4( X ), rinvS( X, skol3( X ) ) }.
% 0.44/0.86 (320) {G0,W7,D2,L3,V2,M3} { ! rinvS( X, Y ), ! cp( Y ), alpha4( X ) }.
% 0.44/0.86 (321) {G0,W9,D2,L3,V3,M3} { ! rf( Z, X ), ! rf( Z, Y ), X = Y }.
% 0.44/0.86 (322) {G0,W9,D2,L3,V3,M3} { ! rf1( Z, X ), ! rf1( Z, Y ), X = Y }.
% 0.44/0.86 (323) {G0,W6,D2,L2,V2,M2} { ! rinvF( X, Y ), rf( Y, X ) }.
% 0.44/0.86 (324) {G0,W6,D2,L2,V2,M2} { ! rf( Y, X ), rinvF( X, Y ) }.
% 0.44/0.86 (325) {G0,W6,D2,L2,V2,M2} { ! rinvF1( X, Y ), rf1( Y, X ) }.
% 0.44/0.86 (326) {G0,W6,D2,L2,V2,M2} { ! rf1( Y, X ), rinvF1( X, Y ) }.
% 0.44/0.86 (327) {G0,W6,D2,L2,V2,M2} { ! rinvS( X, Y ), rs( Y, X ) }.
% 0.44/0.86 (328) {G0,W6,D2,L2,V2,M2} { ! rs( Y, X ), rinvS( X, Y ) }.
% 0.44/0.86 (329) {G0,W9,D2,L3,V3,M3} { ! rs( Z, X ), ! rs( Z, Y ), X = Y }.
% 0.44/0.86 (330) {G0,W2,D2,L1,V0,M1} { cUnsatisfiable( i2003_11_14_17_18_59896 ) }.
% 0.44/0.86 (331) {G0,W6,D2,L2,V2,M2} { ! rs( X, Y ), rf1( X, Y ) }.
% 0.44/0.86 (332) {G0,W6,D2,L2,V2,M2} { ! rs( X, Y ), rf( X, Y ) }.
% 0.44/0.86
% 0.44/0.86
% 0.44/0.86 Total Proof:
% 0.44/0.86
% 0.44/0.86 subsumption: (22) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X
% 0.44/0.86 ) }.
% 0.44/0.86 parent0: (306) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), alpha1( X )
% 0.44/0.86 }.
% 0.44/0.86 substitution0:
% 0.44/0.86 X := X
% 0.44/0.86 end
% 0.44/0.86 permutation0:
% 0.44/0.86 0 ==> 0
% 0.44/0.86 1 ==> 1
% 0.44/0.86 end
% 0.44/0.86
% 0.44/0.86 subsumption: (23) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha2( X
% 0.44/0.86 ) }.
% 0.44/0.86 parent0: (307) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), alpha2( X )
% 0.44/0.86 }.
% 0.44/0.86 substitution0:
% 0.44/0.86 X := X
% 0.44/0.86 end
% 0.44/0.86 permutation0:
% 0.44/0.86 0 ==> 0
% 0.44/0.86 1 ==> 1
% 0.44/0.86 end
% 0.44/0.86
% 0.44/0.86 subsumption: (25) {G0,W7,D2,L3,V2,M3} I { ! alpha2( X ), ! rs( X, Y ), ! cp
% 0.44/0.86 ( Y ) }.
% 0.44/0.86 parent0: (309) {G0,W7,D2,L3,V2,M3} { ! alpha2( X ), ! rs( X, Y ), ! cp( Y
% 0.44/0.86 ) }.
% 0.44/0.86 substitution0:
% 0.44/0.86 X := X
% 0.44/0.86 Y := Y
% 0.44/0.86 end
% 0.44/0.86 permutation0:
% 0.44/0.86 0 ==> 0
% 0.44/0.86 1 ==> 1
% 0.44/0.86 2 ==> 2
% 0.44/0.86 end
% 0.44/0.86
% 0.44/0.86 *** allocated 22500 integers for clauses
% 0.44/0.86 subsumption: (28) {G0,W5,D3,L2,V2,M2} I { ! alpha1( X ), alpha3( skol2( Y )
% 0.44/0.86 ) }.
% 0.44/0.86 parent0: (312) {G0,W5,D3,L2,V2,M2} { ! alpha1( X ), alpha3( skol2( Y ) )
% 0.44/0.86 }.
% 0.44/0.86 substitution0:
% 0.44/0.86 X := X
% 0.44/0.86 Y := Y
% 0.44/0.86 end
% 0.44/0.86 permutation0:
% 0.44/0.86 0 ==> 0
% 0.44/0.86 1 ==> 1
% 0.44/0.86 end
% 0.44/0.86
% 0.44/0.86 subsumption: (29) {G0,W6,D3,L2,V1,M2} I { ! alpha1( X ), rs( X, skol2( X )
% 0.44/0.86 ) }.
% 0.44/0.86 parent0: (313) {G0,W6,D3,L2,V1,M2} { ! alpha1( X ), rs( X, skol2( X ) )
% 0.44/0.86 }.
% 0.44/0.86 substitution0:
% 0.44/0.86 X := X
% 0.44/0.86 end
% 0.44/0.86 permutation0:
% 0.44/0.86 0 ==> 0
% 0.44/0.86 1 ==> 1
% 0.44/0.86 end
% 0.44/0.86
% 0.44/0.86 subsumption: (31) {G0,W4,D2,L2,V1,M2} I { ! alpha3( X ), cp( X ) }.
% 0.44/0.86 parent0: (315) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), cp( X ) }.
% 0.44/0.86 substitution0:
% 0.44/0.86 X := X
% 0.44/0.86 end
% 0.44/0.86 permutation0:
% 0.44/0.86 0 ==> 0
% 0.44/0.86 1 ==> 1
% 0.44/0.86 end
% 0.44/0.86
% 0.44/0.86 subsumption: (46) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 0.44/0.86 i2003_11_14_17_18_59896 ) }.
% 0.44/0.86 parent0: (330) {G0,W2,D2,L1,V0,M1} { cUnsatisfiable(
% 0.44/0.86 i2003_11_14_17_18_59896 ) }.
% 0.44/0.86 substitution0:
% 0.44/0.86 end
% 0.44/0.86 permutation0:
% 0.44/0.86 0 ==> 0
% 0.44/0.86 end
% 0.44/0.86
% 0.44/0.86 resolution: (462) {G1,W2,D2,L1,V0,M1} { alpha2( i2003_11_14_17_18_59896 )
% 0.44/0.86 }.
% 0.44/0.86 parent0[0]: (23) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha2( X )
% 0.44/0.86 }.
% 0.44/0.86 parent1[0]: (46) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 0.44/0.86 i2003_11_14_17_18_59896 ) }.
% 0.44/0.86 substitution0:
% 0.44/0.86 X := i2003_11_14_17_18_59896
% 0.44/0.86 end
% 0.44/0.86 substitution1:
% 0.44/0.86 end
% 0.44/0.86
% 0.44/0.86 subsumption: (52) {G1,W2,D2,L1,V0,M1} R(23,46) { alpha2(
% 0.44/0.86 i2003_11_14_17_18_59896 ) }.
% 0.44/0.86 parent0: (462) {G1,W2,D2,L1,V0,M1} { alpha2( i2003_11_14_17_18_59896 ) }.
% 0.44/0.86 substitution0:
% 0.44/0.86 end
% 0.44/0.86 permutation0:
% 0.44/0.86 0 ==> 0
% 0.44/0.86 end
% 0.44/0.86
% 0.44/0.86 resolution: (463) {G1,W2,D2,L1,V0,M1} { alpha1( i2003_11_14_17_18_59896 )
% 0.44/0.86 }.
% 0.44/0.86 parent0[0]: (22) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X )
% 0.44/0.86 }.
% 0.44/0.86 parent1[0]: (46) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 0.44/0.86 i2003_11_14_17_18_59896 ) }.
% 0.44/0.86 substitution0:
% 0.44/0.86 X := i2003_11_14_17_18_59896
% 0.44/0.86 end
% 0.44/0.86 substitution1:
% 0.44/0.86 end
% 0.44/0.86
% 0.44/0.86 subsumption: (54) {G1,W2,D2,L1,V0,M1} R(22,46) { alpha1(
% 0.44/0.86 i2003_11_14_17_18_59896 ) }.
% 0.44/0.86 parent0: (463) {G1,W2,D2,L1,V0,M1} { alpha1( i2003_11_14_17_18_59896 ) }.
% 0.44/0.86 substitution0:
% 0.44/0.86 end
% 0.44/0.86 permutation0:
% 0.44/0.86 0 ==> 0
% 0.44/0.86 end
% 0.44/0.86
% 0.44/0.86 resolution: (464) {G1,W3,D3,L1,V1,M1} { alpha3( skol2( X ) ) }.
% 0.44/0.86 parent0[0]: (28) {G0,W5,D3,L2,V2,M2} I { ! alpha1( X ), alpha3( skol2( Y )
% 0.44/0.86 ) }.
% 0.44/0.86 parent1[0]: (54) {G1,W2,D2,L1,V0,M1} R(22,46) { alpha1(
% 0.44/0.86 i2003_11_14_17_18_59896 ) }.
% 0.44/0.86 substitution0:
% 0.44/0.86 X := i2003_11_14_17_18_59896
% 0.44/0.86 Y := X
% 0.44/0.86 end
% 0.44/0.86 substitution1:
% 0.44/0.86 end
% 0.44/0.86
% 0.44/0.86 subsumption: (61) {G2,W3,D3,L1,V1,M1} R(28,54) { alpha3( skol2( X ) ) }.
% 0.44/0.86 parent0: (464) {G1,W3,D3,L1,V1,M1} { alpha3( skol2( X ) ) }.
% 0.44/0.86 substitution0:
% 0.44/0.86 X := X
% 0.44/0.86 end
% 0.44/0.86 permutation0:
% 0.44/0.86 0 ==> 0
% 0.44/0.86 end
% 0.44/0.86
% 0.44/0.86 resolution: (465) {G1,W3,D3,L1,V1,M1} { cp( skol2( X ) ) }.
% 0.44/0.86 parent0[0]: (31) {G0,W4,D2,L2,V1,M2} I { ! alpha3( X ), cp( X ) }.
% 0.44/0.86 parent1[0]: (61) {G2,W3,D3,L1,V1,M1} R(28,54) { alpha3( skol2( X ) ) }.
% 0.44/0.86 substitution0:
% 0.44/0.86 X := skol2( X )
% 0.44/0.86 end
% 0.44/0.86 substitution1:
% 0.44/0.86 X := X
% 0.44/0.86 end
% 0.44/0.86
% 0.44/0.86 subsumption: (69) {G3,W3,D3,L1,V1,M1} R(61,31) { cp( skol2( X ) ) }.
% 0.44/0.86 parent0: (465) {G1,W3,D3,L1,V1,M1} { cp( skol2( X ) ) }.
% 0.44/0.86 substitution0:
% 0.44/0.86 X := X
% 0.44/0.86 end
% 0.44/0.86 permutation0:
% 0.44/0.86 0 ==> 0
% 0.44/0.86 end
% 0.44/0.86
% 0.44/0.86 resolution: (466) {G1,W4,D3,L1,V0,M1} { rs( i2003_11_14_17_18_59896, skol2
% 0.44/0.86 ( i2003_11_14_17_18_59896 ) ) }.
% 0.44/0.86 parent0[0]: (29) {G0,W6,D3,L2,V1,M2} I { ! alpha1( X ), rs( X, skol2( X ) )
% 0.44/0.86 }.
% 0.44/0.86 parent1[0]: (54) {G1,W2,D2,L1,V0,M1} R(22,46) { alpha1(
% 0.44/0.86 i2003_11_14_17_18_59896 ) }.
% 0.44/0.86 substitution0:
% 0.44/0.86 X := i2003_11_14_17_18_59896
% 0.44/0.86 end
% 0.44/0.86 substitution1:
% 0.44/0.86 end
% 0.44/0.86
% 0.44/0.86 subsumption: (180) {G2,W4,D3,L1,V0,M1} R(29,54) { rs(
% 0.44/0.86 i2003_11_14_17_18_59896, skol2( i2003_11_14_17_18_59896 ) ) }.
% 0.44/0.86 parent0: (466) {G1,W4,D3,L1,V0,M1} { rs( i2003_11_14_17_18_59896, skol2(
% 0.44/0.86 i2003_11_14_17_18_59896 ) ) }.
% 0.44/0.86 substitution0:
% 0.44/0.86 end
% 0.44/0.86 permutation0:
% 0.44/0.86 0 ==> 0
% 0.44/0.86 end
% 0.44/0.86
% 0.44/0.86 resolution: (467) {G1,W5,D3,L2,V0,M2} { ! alpha2( i2003_11_14_17_18_59896
% 0.44/0.86 ), ! cp( skol2( i2003_11_14_17_18_59896 ) ) }.
% 0.44/0.86 parent0[1]: (25) {G0,W7,D2,L3,V2,M3} I { ! alpha2( X ), ! rs( X, Y ), ! cp
% 0.44/0.86 ( Y ) }.
% 0.44/0.86 parent1[0]: (180) {G2,W4,D3,L1,V0,M1} R(29,54) { rs(
% 0.44/0.86 i2003_11_14_17_18_59896, skol2( i2003_11_14_17_18_59896 ) ) }.
% 0.44/0.86 substitution0:
% 0.44/0.86 X := i2003_11_14_17_18_59896
% 0.44/0.86 Y := skol2( i2003_11_14_17_18_59896 )
% 0.44/0.86 end
% 0.44/0.86 substitution1:
% 0.44/0.86 end
% 0.44/0.86
% 0.44/0.86 resolution: (468) {G2,W3,D3,L1,V0,M1} { ! cp( skol2(
% 0.44/0.86 i2003_11_14_17_18_59896 ) ) }.
% 0.44/0.86 parent0[0]: (467) {G1,W5,D3,L2,V0,M2} { ! alpha2( i2003_11_14_17_18_59896
% 0.44/0.86 ), ! cp( skol2( i2003_11_14_17_18_59896 ) ) }.
% 0.44/0.86 parent1[0]: (52) {G1,W2,D2,L1,V0,M1} R(23,46) { alpha2(
% 0.44/0.86 i2003_11_14_17_18_59896 ) }.
% 0.44/0.86 substitution0:
% 0.44/0.86 end
% 0.44/0.86 substitution1:
% 0.44/0.86 end
% 0.44/0.86
% 0.44/0.86 subsumption: (267) {G3,W3,D3,L1,V0,M1} R(25,180);r(52) { ! cp( skol2(
% 0.44/0.86 i2003_11_14_17_18_59896 ) ) }.
% 0.44/0.86 parent0: (468) {G2,W3,D3,L1,V0,M1} { ! cp( skol2( i2003_11_14_17_18_59896
% 0.44/0.86 ) ) }.
% 0.44/0.86 substitution0:
% 0.44/0.86 end
% 0.44/0.86 permutation0:
% 0.44/0.86 0 ==> 0
% 0.44/0.86 end
% 0.44/0.86
% 0.44/0.86 resolution: (469) {G4,W0,D0,L0,V0,M0} { }.
% 0.44/0.86 parent0[0]: (267) {G3,W3,D3,L1,V0,M1} R(25,180);r(52) { ! cp( skol2(
% 0.44/0.86 i2003_11_14_17_18_59896 ) ) }.
% 0.44/0.86 parent1[0]: (69) {G3,W3,D3,L1,V1,M1} R(61,31) { cp( skol2( X ) ) }.
% 0.44/0.86 substitution0:
% 0.44/0.86 end
% 0.44/0.86 substitution1:
% 0.44/0.86 X := i2003_11_14_17_18_59896
% 0.44/0.86 end
% 0.44/0.86
% 0.44/0.86 subsumption: (282) {G4,W0,D0,L0,V0,M0} S(267);r(69) { }.
% 0.44/0.86 parent0: (469) {G4,W0,D0,L0,V0,M0} { }.
% 0.44/0.86 substitution0:
% 0.44/0.86 end
% 0.44/0.86 permutation0:
% 0.44/0.86 end
% 0.44/0.86
% 0.44/0.86 Proof check complete!
% 0.44/0.86
% 0.44/0.86 Memory use:
% 0.44/0.86
% 0.44/0.86 space for terms: 3618
% 0.44/0.86 space for clauses: 12517
% 0.44/0.86
% 0.44/0.86
% 0.44/0.86 clauses generated: 706
% 0.44/0.86 clauses kept: 283
% 0.44/0.86 clauses selected: 90
% 0.44/0.86 clauses deleted: 7
% 0.44/0.86 clauses inuse deleted: 0
% 0.44/0.86
% 0.44/0.86 subsentry: 1660
% 0.44/0.86 literals s-matched: 1612
% 0.44/0.86 literals matched: 1612
% 0.44/0.86 full subsumption: 453
% 0.44/0.86
% 0.44/0.86 checksum: -1473626432
% 0.44/0.86
% 0.44/0.86
% 0.44/0.86 Bliksem ended
%------------------------------------------------------------------------------