TSTP Solution File: KRS124+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : KRS124+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sun Jul 17 02:42:21 EDT 2022
% Result : Unsatisfiable 0.45s 1.17s
% Output : Refutation 0.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KRS124+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n018.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 09:27:50 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.45/1.17 *** allocated 10000 integers for termspace/termends
% 0.45/1.17 *** allocated 10000 integers for clauses
% 0.45/1.17 *** allocated 10000 integers for justifications
% 0.45/1.17 Bliksem 1.12
% 0.45/1.17
% 0.45/1.17
% 0.45/1.17 Automatic Strategy Selection
% 0.45/1.17
% 0.45/1.17
% 0.45/1.17 Clauses:
% 0.45/1.17
% 0.45/1.17 { cowlThing( X ) }.
% 0.45/1.17 { ! cowlNothing( X ) }.
% 0.45/1.17 { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.45/1.17 { xsd_integer( X ), xsd_string( X ) }.
% 0.45/1.17 { ! cUnsatisfiable( X ), alpha1( X ) }.
% 0.45/1.17 { ! cUnsatisfiable( X ), alpha2( X ) }.
% 0.45/1.17 { ! alpha1( X ), ! alpha2( X ), cUnsatisfiable( X ) }.
% 0.45/1.17 { ! alpha2( X ), ! rr( X, Y ), ca_Ax3( Y ) }.
% 0.45/1.17 { ! ca_Ax3( skol1( Y ) ), alpha2( X ) }.
% 0.45/1.17 { rr( X, skol1( X ) ), alpha2( X ) }.
% 0.45/1.17 { ! alpha1( X ), cowlThing( skol2( Y ) ) }.
% 0.45/1.17 { ! alpha1( X ), rr( X, skol2( X ) ) }.
% 0.45/1.17 { ! rr( X, Y ), ! cowlThing( Y ), alpha1( X ) }.
% 0.45/1.17 { ! cc( X ), cdxcomp( X ) }.
% 0.45/1.17 { ! cc1( X ), cd1( X ) }.
% 0.45/1.17 { ! cc1( X ), cd1xcomp( X ) }.
% 0.45/1.17 { ! cd( X ), ! ra_Px1( X, Y ) }.
% 0.45/1.17 { ra_Px1( X, skol3( X ) ), cd( X ) }.
% 0.45/1.17 { ! cdxcomp( X ), ra_Px1( X, skol4( X ) ) }.
% 0.45/1.17 { ! ra_Px1( X, Y ), cdxcomp( X ) }.
% 0.45/1.17 { ! cd1( X ), ra_Px2( X, skol5( X ) ) }.
% 0.45/1.17 { ! ra_Px2( X, Y ), cd1( X ) }.
% 0.45/1.17 { ! cd1xcomp( X ), ! ra_Px2( X, Y ) }.
% 0.45/1.17 { ra_Px2( X, skol6( X ) ), cd1xcomp( X ) }.
% 0.45/1.17 { ! ce3( X ), cc( X ) }.
% 0.45/1.17 { ! cf( X ), cd( X ) }.
% 0.45/1.17 { ! ca_Ax3( X ), cd( X ) }.
% 0.45/1.17 { ! ca_Ax3( X ), cc( X ) }.
% 0.45/1.17 { ! cd( X ), ! cc( X ), ca_Ax3( X ) }.
% 0.45/1.17 { cUnsatisfiable( i2003_11_14_17_22_10903 ) }.
% 0.45/1.17
% 0.45/1.17 percentage equality = 0.000000, percentage horn = 0.862069
% 0.45/1.17 This a non-horn, non-equality problem
% 0.45/1.17
% 0.45/1.17
% 0.45/1.17 Options Used:
% 0.45/1.17
% 0.45/1.17 useres = 1
% 0.45/1.17 useparamod = 0
% 0.45/1.17 useeqrefl = 0
% 0.45/1.17 useeqfact = 0
% 0.45/1.17 usefactor = 1
% 0.45/1.17 usesimpsplitting = 0
% 0.45/1.17 usesimpdemod = 0
% 0.45/1.17 usesimpres = 3
% 0.45/1.17
% 0.45/1.17 resimpinuse = 1000
% 0.45/1.17 resimpclauses = 20000
% 0.45/1.17 substype = standard
% 0.45/1.17 backwardsubs = 1
% 0.45/1.17 selectoldest = 5
% 0.45/1.17
% 0.45/1.17 litorderings [0] = split
% 0.45/1.17 litorderings [1] = liftord
% 0.45/1.17
% 0.45/1.17 termordering = none
% 0.45/1.17
% 0.45/1.17 litapriori = 1
% 0.45/1.17 termapriori = 0
% 0.45/1.17 litaposteriori = 0
% 0.45/1.17 termaposteriori = 0
% 0.45/1.17 demodaposteriori = 0
% 0.45/1.17 ordereqreflfact = 0
% 0.45/1.17
% 0.45/1.17 litselect = none
% 0.45/1.17
% 0.45/1.17 maxweight = 15
% 0.45/1.17 maxdepth = 30000
% 0.45/1.17 maxlength = 115
% 0.45/1.17 maxnrvars = 195
% 0.45/1.17 excuselevel = 1
% 0.45/1.17 increasemaxweight = 1
% 0.45/1.17
% 0.45/1.17 maxselected = 10000000
% 0.45/1.17 maxnrclauses = 10000000
% 0.45/1.17
% 0.45/1.17 showgenerated = 0
% 0.45/1.17 showkept = 0
% 0.45/1.17 showselected = 0
% 0.45/1.17 showdeleted = 0
% 0.45/1.17 showresimp = 1
% 0.45/1.17 showstatus = 2000
% 0.45/1.17
% 0.45/1.17 prologoutput = 0
% 0.45/1.17 nrgoals = 5000000
% 0.45/1.17 totalproof = 1
% 0.45/1.17
% 0.45/1.17 Symbols occurring in the translation:
% 0.45/1.17
% 0.45/1.17 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.45/1.17 . [1, 2] (w:1, o:37, a:1, s:1, b:0),
% 0.45/1.17 ! [4, 1] (w:0, o:10, a:1, s:1, b:0),
% 0.45/1.17 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.45/1.17 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.45/1.17 cowlThing [36, 1] (w:1, o:15, a:1, s:1, b:0),
% 0.45/1.17 cowlNothing [37, 1] (w:1, o:16, a:1, s:1, b:0),
% 0.45/1.17 xsd_string [38, 1] (w:1, o:17, a:1, s:1, b:0),
% 0.45/1.17 xsd_integer [39, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.45/1.17 cUnsatisfiable [40, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.45/1.17 rr [42, 2] (w:1, o:61, a:1, s:1, b:0),
% 0.45/1.17 ca_Ax3 [43, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.45/1.17 cc [44, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.45/1.17 cdxcomp [45, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.45/1.17 cc1 [46, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.45/1.17 cd1 [47, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.45/1.17 cd1xcomp [48, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.45/1.17 cd [49, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.45/1.17 ra_Px1 [50, 2] (w:1, o:62, a:1, s:1, b:0),
% 0.45/1.17 ra_Px2 [52, 2] (w:1, o:63, a:1, s:1, b:0),
% 0.45/1.17 ce3 [53, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.45/1.17 cf [54, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.45/1.17 i2003_11_14_17_22_10903 [55, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.45/1.17 alpha1 [56, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.45/1.17 alpha2 [57, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.45/1.17 skol1 [58, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.45/1.17 skol2 [59, 1] (w:1, o:32, a:1, s:1, b:0),
% 0.45/1.17 skol3 [60, 1] (w:1, o:33, a:1, s:1, b:0),
% 0.45/1.17 skol4 [61, 1] (w:1, o:34, a:1, s:1, b:0),
% 0.45/1.17 skol5 [62, 1] (w:1, o:35, a:1, s:1, b:0),
% 0.45/1.17 skol6 [63, 1] (w:1, o:36, a:1, s:1, b:0).
% 0.45/1.17
% 0.45/1.17
% 0.45/1.17 Starting Search:
% 0.45/1.17
% 0.45/1.17
% 0.45/1.17 Bliksems!, er is een bewijs:
% 0.45/1.17 % SZS status Unsatisfiable
% 0.45/1.17 % SZS output start Refutation
% 0.45/1.17
% 0.45/1.17 (4) {G0,W4,D2,L2,V1,M1} I { ! cUnsatisfiable( X ), alpha1( X ) }.
% 0.45/1.17 (5) {G0,W4,D2,L2,V1,M1} I { ! cUnsatisfiable( X ), alpha2( X ) }.
% 0.45/1.17 (7) {G0,W7,D2,L3,V2,M1} I { ! alpha2( X ), ca_Ax3( Y ), ! rr( X, Y ) }.
% 0.45/1.17 (10) {G0,W6,D3,L2,V1,M1} I { ! alpha1( X ), rr( X, skol2( X ) ) }.
% 0.45/1.17 (12) {G0,W4,D2,L2,V1,M1} I { ! cc( X ), cdxcomp( X ) }.
% 0.45/1.17 (15) {G0,W5,D2,L2,V2,M1} I { ! cd( X ), ! ra_Px1( X, Y ) }.
% 0.45/1.17 (17) {G0,W6,D3,L2,V1,M1} I { ! cdxcomp( X ), ra_Px1( X, skol4( X ) ) }.
% 0.45/1.17 (25) {G0,W4,D2,L2,V1,M1} I { ! ca_Ax3( X ), cd( X ) }.
% 0.45/1.17 (26) {G0,W4,D2,L2,V1,M1} I { ! ca_Ax3( X ), cc( X ) }.
% 0.45/1.17 (28) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( i2003_11_14_17_22_10903 ) }.
% 0.45/1.17 (34) {G1,W7,D3,L3,V1,M1} R(10,7) { ! alpha1( X ), ca_Ax3( skol2( X ) ), !
% 0.45/1.17 alpha2( X ) }.
% 0.45/1.17 (35) {G1,W4,D2,L2,V1,M1} R(17,15) { ! cdxcomp( X ), ! cd( X ) }.
% 0.45/1.17 (36) {G2,W4,D2,L2,V1,M1} R(35,25) { ! ca_Ax3( X ), ! cdxcomp( X ) }.
% 0.45/1.17 (37) {G3,W2,D2,L1,V1,M1} R(36,12);r(26) { ! ca_Ax3( X ) }.
% 0.45/1.17 (39) {G4,W4,D2,L2,V1,M1} S(34);r(37) { ! alpha1( X ), ! alpha2( X ) }.
% 0.45/1.17 (40) {G5,W2,D2,L1,V1,M1} R(39,5);r(4) { ! cUnsatisfiable( X ) }.
% 0.45/1.17 (41) {G6,W0,D0,L0,V0,M0} R(40,28) { }.
% 0.45/1.17
% 0.45/1.17
% 0.45/1.17 % SZS output end Refutation
% 0.45/1.17 found a proof!
% 0.45/1.17
% 0.45/1.17
% 0.45/1.17 Unprocessed initial clauses:
% 0.45/1.17
% 0.45/1.17 (43) {G0,W2,D2,L1,V1,M1} { cowlThing( X ) }.
% 0.45/1.17 (44) {G0,W2,D2,L1,V1,M1} { ! cowlNothing( X ) }.
% 0.45/1.17 (45) {G0,W4,D2,L2,V1,M2} { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.45/1.17 (46) {G0,W4,D2,L2,V1,M2} { xsd_integer( X ), xsd_string( X ) }.
% 0.45/1.17 (47) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), alpha1( X ) }.
% 0.45/1.17 (48) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), alpha2( X ) }.
% 0.45/1.17 (49) {G0,W6,D2,L3,V1,M3} { ! alpha1( X ), ! alpha2( X ), cUnsatisfiable( X
% 0.45/1.17 ) }.
% 0.45/1.17 (50) {G0,W7,D2,L3,V2,M3} { ! alpha2( X ), ! rr( X, Y ), ca_Ax3( Y ) }.
% 0.45/1.17 (51) {G0,W5,D3,L2,V2,M2} { ! ca_Ax3( skol1( Y ) ), alpha2( X ) }.
% 0.45/1.17 (52) {G0,W6,D3,L2,V1,M2} { rr( X, skol1( X ) ), alpha2( X ) }.
% 0.45/1.17 (53) {G0,W5,D3,L2,V2,M2} { ! alpha1( X ), cowlThing( skol2( Y ) ) }.
% 0.45/1.17 (54) {G0,W6,D3,L2,V1,M2} { ! alpha1( X ), rr( X, skol2( X ) ) }.
% 0.45/1.17 (55) {G0,W7,D2,L3,V2,M3} { ! rr( X, Y ), ! cowlThing( Y ), alpha1( X ) }.
% 0.45/1.17 (56) {G0,W4,D2,L2,V1,M2} { ! cc( X ), cdxcomp( X ) }.
% 0.45/1.17 (57) {G0,W4,D2,L2,V1,M2} { ! cc1( X ), cd1( X ) }.
% 0.45/1.17 (58) {G0,W4,D2,L2,V1,M2} { ! cc1( X ), cd1xcomp( X ) }.
% 0.45/1.17 (59) {G0,W5,D2,L2,V2,M2} { ! cd( X ), ! ra_Px1( X, Y ) }.
% 0.45/1.17 (60) {G0,W6,D3,L2,V1,M2} { ra_Px1( X, skol3( X ) ), cd( X ) }.
% 0.45/1.17 (61) {G0,W6,D3,L2,V1,M2} { ! cdxcomp( X ), ra_Px1( X, skol4( X ) ) }.
% 0.45/1.17 (62) {G0,W5,D2,L2,V2,M2} { ! ra_Px1( X, Y ), cdxcomp( X ) }.
% 0.45/1.17 (63) {G0,W6,D3,L2,V1,M2} { ! cd1( X ), ra_Px2( X, skol5( X ) ) }.
% 0.45/1.17 (64) {G0,W5,D2,L2,V2,M2} { ! ra_Px2( X, Y ), cd1( X ) }.
% 0.45/1.17 (65) {G0,W5,D2,L2,V2,M2} { ! cd1xcomp( X ), ! ra_Px2( X, Y ) }.
% 0.45/1.17 (66) {G0,W6,D3,L2,V1,M2} { ra_Px2( X, skol6( X ) ), cd1xcomp( X ) }.
% 0.45/1.17 (67) {G0,W4,D2,L2,V1,M2} { ! ce3( X ), cc( X ) }.
% 0.45/1.17 (68) {G0,W4,D2,L2,V1,M2} { ! cf( X ), cd( X ) }.
% 0.45/1.17 (69) {G0,W4,D2,L2,V1,M2} { ! ca_Ax3( X ), cd( X ) }.
% 0.45/1.17 (70) {G0,W4,D2,L2,V1,M2} { ! ca_Ax3( X ), cc( X ) }.
% 0.45/1.17 (71) {G0,W6,D2,L3,V1,M3} { ! cd( X ), ! cc( X ), ca_Ax3( X ) }.
% 0.45/1.17 (72) {G0,W2,D2,L1,V0,M1} { cUnsatisfiable( i2003_11_14_17_22_10903 ) }.
% 0.45/1.17
% 0.45/1.17
% 0.45/1.17 Total Proof:
% 0.45/1.17
% 0.45/1.17 subsumption: (4) {G0,W4,D2,L2,V1,M1} I { ! cUnsatisfiable( X ), alpha1( X )
% 0.45/1.17 }.
% 0.45/1.17 parent0: (47) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), alpha1( X ) }.
% 0.45/1.17 substitution0:
% 0.45/1.17 X := X
% 0.45/1.17 end
% 0.45/1.17 permutation0:
% 0.45/1.17 0 ==> 0
% 0.45/1.17 1 ==> 1
% 0.45/1.17 end
% 0.45/1.17
% 0.45/1.17 subsumption: (5) {G0,W4,D2,L2,V1,M1} I { ! cUnsatisfiable( X ), alpha2( X )
% 0.45/1.17 }.
% 0.45/1.17 parent0: (48) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), alpha2( X ) }.
% 0.45/1.17 substitution0:
% 0.45/1.17 X := X
% 0.45/1.17 end
% 0.45/1.17 permutation0:
% 0.45/1.17 0 ==> 0
% 0.45/1.17 1 ==> 1
% 0.45/1.17 end
% 0.45/1.17
% 0.45/1.17 subsumption: (7) {G0,W7,D2,L3,V2,M1} I { ! alpha2( X ), ca_Ax3( Y ), ! rr(
% 0.45/1.17 X, Y ) }.
% 0.45/1.17 parent0: (50) {G0,W7,D2,L3,V2,M3} { ! alpha2( X ), ! rr( X, Y ), ca_Ax3( Y
% 0.45/1.17 ) }.
% 0.45/1.17 substitution0:
% 0.45/1.17 X := X
% 0.45/1.17 Y := Y
% 0.45/1.17 end
% 0.45/1.17 permutation0:
% 0.45/1.17 0 ==> 0
% 0.45/1.17 1 ==> 2
% 0.45/1.17 2 ==> 1
% 0.45/1.17 end
% 0.45/1.17
% 0.45/1.17 subsumption: (10) {G0,W6,D3,L2,V1,M1} I { ! alpha1( X ), rr( X, skol2( X )
% 0.45/1.17 ) }.
% 0.45/1.17 parent0: (54) {G0,W6,D3,L2,V1,M2} { ! alpha1( X ), rr( X, skol2( X ) ) }.
% 0.45/1.17 substitution0:
% 0.45/1.17 X := X
% 0.45/1.17 end
% 0.45/1.17 permutation0:
% 0.45/1.17 0 ==> 0
% 0.45/1.17 1 ==> 1
% 0.45/1.17 end
% 0.45/1.17
% 0.45/1.17 subsumption: (12) {G0,W4,D2,L2,V1,M1} I { ! cc( X ), cdxcomp( X ) }.
% 0.45/1.17 parent0: (56) {G0,W4,D2,L2,V1,M2} { ! cc( X ), cdxcomp( X ) }.
% 0.45/1.17 substitution0:
% 0.45/1.17 X := X
% 0.45/1.17 end
% 0.45/1.17 permutation0:
% 0.45/1.17 0 ==> 0
% 0.45/1.17 1 ==> 1
% 0.45/1.17 end
% 0.45/1.17
% 0.45/1.17 subsumption: (15) {G0,W5,D2,L2,V2,M1} I { ! cd( X ), ! ra_Px1( X, Y ) }.
% 0.45/1.17 parent0: (59) {G0,W5,D2,L2,V2,M2} { ! cd( X ), ! ra_Px1( X, Y ) }.
% 0.45/1.17 substitution0:
% 0.45/1.17 X := X
% 0.45/1.17 Y := Y
% 0.45/1.17 end
% 0.45/1.17 permutation0:
% 0.45/1.17 0 ==> 0
% 0.45/1.17 1 ==> 1
% 0.45/1.17 end
% 0.45/1.17
% 0.45/1.17 subsumption: (17) {G0,W6,D3,L2,V1,M1} I { ! cdxcomp( X ), ra_Px1( X, skol4
% 0.45/1.17 ( X ) ) }.
% 0.45/1.17 parent0: (61) {G0,W6,D3,L2,V1,M2} { ! cdxcomp( X ), ra_Px1( X, skol4( X )
% 0.45/1.17 ) }.
% 0.45/1.17 substitution0:
% 0.45/1.17 X := X
% 0.45/1.17 end
% 0.45/1.17 permutation0:
% 0.45/1.17 0 ==> 0
% 0.45/1.17 1 ==> 1
% 0.45/1.17 end
% 0.45/1.17
% 0.45/1.17 subsumption: (25) {G0,W4,D2,L2,V1,M1} I { ! ca_Ax3( X ), cd( X ) }.
% 0.45/1.17 parent0: (69) {G0,W4,D2,L2,V1,M2} { ! ca_Ax3( X ), cd( X ) }.
% 0.45/1.17 substitution0:
% 0.45/1.17 X := X
% 0.45/1.17 end
% 0.45/1.17 permutation0:
% 0.45/1.17 0 ==> 0
% 0.45/1.17 1 ==> 1
% 0.45/1.17 end
% 0.45/1.17
% 0.45/1.17 subsumption: (26) {G0,W4,D2,L2,V1,M1} I { ! ca_Ax3( X ), cc( X ) }.
% 0.45/1.17 parent0: (70) {G0,W4,D2,L2,V1,M2} { ! ca_Ax3( X ), cc( X ) }.
% 0.45/1.17 substitution0:
% 0.45/1.17 X := X
% 0.45/1.17 end
% 0.45/1.17 permutation0:
% 0.45/1.17 0 ==> 0
% 0.45/1.17 1 ==> 1
% 0.45/1.17 end
% 0.45/1.17
% 0.45/1.17 subsumption: (28) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 0.45/1.17 i2003_11_14_17_22_10903 ) }.
% 0.45/1.17 parent0: (72) {G0,W2,D2,L1,V0,M1} { cUnsatisfiable(
% 0.45/1.17 i2003_11_14_17_22_10903 ) }.
% 0.45/1.17 substitution0:
% 0.45/1.17 end
% 0.45/1.17 permutation0:
% 0.45/1.17 0 ==> 0
% 0.45/1.17 end
% 0.45/1.17
% 0.45/1.17 resolution: (73) {G1,W7,D3,L3,V1,M3} { ! alpha2( X ), ca_Ax3( skol2( X ) )
% 0.45/1.17 , ! alpha1( X ) }.
% 0.45/1.17 parent0[2]: (7) {G0,W7,D2,L3,V2,M1} I { ! alpha2( X ), ca_Ax3( Y ), ! rr( X
% 0.45/1.17 , Y ) }.
% 0.45/1.17 parent1[1]: (10) {G0,W6,D3,L2,V1,M1} I { ! alpha1( X ), rr( X, skol2( X ) )
% 0.45/1.17 }.
% 0.45/1.17 substitution0:
% 0.45/1.17 X := X
% 0.45/1.17 Y := skol2( X )
% 0.45/1.17 end
% 0.45/1.17 substitution1:
% 0.45/1.17 X := X
% 0.45/1.17 end
% 0.45/1.17
% 0.45/1.17 subsumption: (34) {G1,W7,D3,L3,V1,M1} R(10,7) { ! alpha1( X ), ca_Ax3(
% 0.45/1.17 skol2( X ) ), ! alpha2( X ) }.
% 0.45/1.17 parent0: (73) {G1,W7,D3,L3,V1,M3} { ! alpha2( X ), ca_Ax3( skol2( X ) ), !
% 0.45/1.17 alpha1( X ) }.
% 0.45/1.17 substitution0:
% 0.45/1.17 X := X
% 0.45/1.17 end
% 0.45/1.17 permutation0:
% 0.45/1.17 0 ==> 2
% 0.45/1.17 1 ==> 1
% 0.45/1.17 2 ==> 0
% 0.45/1.17 end
% 0.45/1.17
% 0.45/1.17 resolution: (74) {G1,W4,D2,L2,V1,M2} { ! cd( X ), ! cdxcomp( X ) }.
% 0.45/1.17 parent0[1]: (15) {G0,W5,D2,L2,V2,M1} I { ! cd( X ), ! ra_Px1( X, Y ) }.
% 0.45/1.17 parent1[1]: (17) {G0,W6,D3,L2,V1,M1} I { ! cdxcomp( X ), ra_Px1( X, skol4(
% 0.45/1.17 X ) ) }.
% 0.45/1.17 substitution0:
% 0.45/1.17 X := X
% 0.45/1.17 Y := skol4( X )
% 0.45/1.17 end
% 0.45/1.17 substitution1:
% 0.45/1.17 X := X
% 0.45/1.17 end
% 0.45/1.17
% 0.45/1.17 subsumption: (35) {G1,W4,D2,L2,V1,M1} R(17,15) { ! cdxcomp( X ), ! cd( X )
% 0.45/1.17 }.
% 0.45/1.17 parent0: (74) {G1,W4,D2,L2,V1,M2} { ! cd( X ), ! cdxcomp( X ) }.
% 0.45/1.17 substitution0:
% 0.45/1.17 X := X
% 0.45/1.17 end
% 0.45/1.17 permutation0:
% 0.45/1.17 0 ==> 1
% 0.45/1.17 1 ==> 0
% 0.45/1.17 end
% 0.45/1.17
% 0.45/1.17 resolution: (75) {G1,W4,D2,L2,V1,M2} { ! cdxcomp( X ), ! ca_Ax3( X ) }.
% 0.45/1.17 parent0[1]: (35) {G1,W4,D2,L2,V1,M1} R(17,15) { ! cdxcomp( X ), ! cd( X )
% 0.45/1.17 }.
% 0.45/1.17 parent1[1]: (25) {G0,W4,D2,L2,V1,M1} I { ! ca_Ax3( X ), cd( X ) }.
% 0.45/1.17 substitution0:
% 0.45/1.17 X := X
% 0.45/1.17 end
% 0.45/1.17 substitution1:
% 0.45/1.17 X := X
% 0.45/1.17 end
% 0.45/1.17
% 0.45/1.17 subsumption: (36) {G2,W4,D2,L2,V1,M1} R(35,25) { ! ca_Ax3( X ), ! cdxcomp(
% 0.45/1.17 X ) }.
% 0.45/1.17 parent0: (75) {G1,W4,D2,L2,V1,M2} { ! cdxcomp( X ), ! ca_Ax3( X ) }.
% 0.45/1.17 substitution0:
% 0.45/1.17 X := X
% 0.45/1.17 end
% 0.45/1.17 permutation0:
% 0.45/1.17 0 ==> 1
% 0.45/1.17 1 ==> 0
% 0.45/1.17 end
% 0.45/1.17
% 0.45/1.17 resolution: (76) {G1,W4,D2,L2,V1,M2} { ! ca_Ax3( X ), ! cc( X ) }.
% 0.45/1.17 parent0[1]: (36) {G2,W4,D2,L2,V1,M1} R(35,25) { ! ca_Ax3( X ), ! cdxcomp( X
% 0.45/1.17 ) }.
% 0.45/1.17 parent1[1]: (12) {G0,W4,D2,L2,V1,M1} I { ! cc( X ), cdxcomp( X ) }.
% 0.45/1.17 substitution0:
% 0.45/1.17 X := X
% 0.45/1.17 end
% 0.45/1.17 substitution1:
% 0.45/1.17 X := X
% 0.45/1.17 end
% 0.45/1.17
% 0.45/1.17 resolution: (77) {G1,W4,D2,L2,V1,M2} { ! ca_Ax3( X ), ! ca_Ax3( X ) }.
% 0.45/1.17 parent0[1]: (76) {G1,W4,D2,L2,V1,M2} { ! ca_Ax3( X ), ! cc( X ) }.
% 0.45/1.17 parent1[1]: (26) {G0,W4,D2,L2,V1,M1} I { ! ca_Ax3( X ), cc( X ) }.
% 0.45/1.17 substitution0:
% 0.45/1.17 X := X
% 0.45/1.17 end
% 0.45/1.17 substitution1:
% 0.45/1.17 X := X
% 0.45/1.17 end
% 0.45/1.17
% 0.45/1.17 factor: (78) {G1,W2,D2,L1,V1,M1} { ! ca_Ax3( X ) }.
% 0.45/1.17 parent0[0, 1]: (77) {G1,W4,D2,L2,V1,M2} { ! ca_Ax3( X ), ! ca_Ax3( X ) }.
% 0.45/1.17 substitution0:
% 0.45/1.17 X := X
% 0.45/1.17 end
% 0.45/1.17
% 0.45/1.17 subsumption: (37) {G3,W2,D2,L1,V1,M1} R(36,12);r(26) { ! ca_Ax3( X ) }.
% 0.45/1.17 parent0: (78) {G1,W2,D2,L1,V1,M1} { ! ca_Ax3( X ) }.
% 0.45/1.17 substitution0:
% 0.45/1.17 X := X
% 0.45/1.17 end
% 0.45/1.17 permutation0:
% 0.45/1.17 0 ==> 0
% 0.45/1.17 end
% 0.45/1.17
% 0.45/1.17 resolution: (79) {G2,W4,D2,L2,V1,M2} { ! alpha1( X ), ! alpha2( X ) }.
% 0.45/1.17 parent0[0]: (37) {G3,W2,D2,L1,V1,M1} R(36,12);r(26) { ! ca_Ax3( X ) }.
% 0.45/1.17 parent1[1]: (34) {G1,W7,D3,L3,V1,M1} R(10,7) { ! alpha1( X ), ca_Ax3( skol2
% 0.45/1.17 ( X ) ), ! alpha2( X ) }.
% 0.45/1.17 substitution0:
% 0.45/1.17 X := skol2( X )
% 0.45/1.17 end
% 0.45/1.17 substitution1:
% 0.45/1.17 X := X
% 0.45/1.17 end
% 0.45/1.17
% 0.45/1.17 subsumption: (39) {G4,W4,D2,L2,V1,M1} S(34);r(37) { ! alpha1( X ), ! alpha2
% 0.45/1.17 ( X ) }.
% 0.45/1.17 parent0: (79) {G2,W4,D2,L2,V1,M2} { ! alpha1( X ), ! alpha2( X ) }.
% 0.45/1.17 substitution0:
% 0.45/1.17 X := X
% 0.45/1.17 end
% 0.45/1.17 permutation0:
% 0.45/1.17 0 ==> 0
% 0.45/1.17 1 ==> 1
% 0.45/1.17 end
% 0.45/1.17
% 0.45/1.17 resolution: (80) {G1,W4,D2,L2,V1,M2} { ! alpha1( X ), ! cUnsatisfiable( X
% 0.45/1.17 ) }.
% 0.45/1.17 parent0[1]: (39) {G4,W4,D2,L2,V1,M1} S(34);r(37) { ! alpha1( X ), ! alpha2
% 0.45/1.17 ( X ) }.
% 0.45/1.17 parent1[1]: (5) {G0,W4,D2,L2,V1,M1} I { ! cUnsatisfiable( X ), alpha2( X )
% 0.45/1.17 }.
% 0.45/1.17 substitution0:
% 0.45/1.17 X := X
% 0.45/1.17 end
% 0.45/1.17 substitution1:
% 0.45/1.17 X := X
% 0.45/1.17 end
% 0.45/1.17
% 0.45/1.17 resolution: (81) {G1,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), !
% 0.45/1.17 cUnsatisfiable( X ) }.
% 0.45/1.17 parent0[0]: (80) {G1,W4,D2,L2,V1,M2} { ! alpha1( X ), ! cUnsatisfiable( X
% 0.45/1.17 ) }.
% 0.45/1.17 parent1[1]: (4) {G0,W4,D2,L2,V1,M1} I { ! cUnsatisfiable( X ), alpha1( X )
% 0.45/1.17 }.
% 0.45/1.17 substitution0:
% 0.45/1.17 X := X
% 0.45/1.17 end
% 0.45/1.17 substitution1:
% 0.45/1.17 X := X
% 0.45/1.17 end
% 0.45/1.17
% 0.45/1.17 factor: (82) {G1,W2,D2,L1,V1,M1} { ! cUnsatisfiable( X ) }.
% 0.45/1.17 parent0[0, 1]: (81) {G1,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), !
% 0.45/1.17 cUnsatisfiable( X ) }.
% 0.45/1.17 substitution0:
% 0.45/1.17 X := X
% 0.45/1.17 end
% 0.45/1.17
% 0.45/1.17 subsumption: (40) {G5,W2,D2,L1,V1,M1} R(39,5);r(4) { ! cUnsatisfiable( X )
% 0.45/1.17 }.
% 0.45/1.17 parent0: (82) {G1,W2,D2,L1,V1,M1} { ! cUnsatisfiable( X ) }.
% 0.45/1.17 substitution0:
% 0.45/1.17 X := X
% 0.45/1.17 end
% 0.45/1.17 permutation0:
% 0.45/1.17 0 ==> 0
% 0.45/1.17 end
% 0.45/1.17
% 0.45/1.17 resolution: (83) {G1,W0,D0,L0,V0,M0} { }.
% 0.45/1.17 parent0[0]: (40) {G5,W2,D2,L1,V1,M1} R(39,5);r(4) { ! cUnsatisfiable( X )
% 0.45/1.17 }.
% 0.45/1.17 parent1[0]: (28) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 0.45/1.17 i2003_11_14_17_22_10903 ) }.
% 0.45/1.17 substitution0:
% 0.45/1.17 X := i2003_11_14_17_22_10903
% 0.45/1.17 end
% 0.45/1.17 substitution1:
% 0.45/1.17 end
% 0.45/1.17
% 0.45/1.17 subsumption: (41) {G6,W0,D0,L0,V0,M0} R(40,28) { }.
% 0.45/1.17 parent0: (83) {G1,W0,D0,L0,V0,M0} { }.
% 0.45/1.17 substitution0:
% 0.45/1.17 end
% 0.45/1.17 permutation0:
% 0.45/1.17 end
% 0.45/1.17
% 0.45/1.17 Proof check complete!
% 0.45/1.17
% 0.45/1.17 Memory use:
% 0.45/1.17
% 0.45/1.17 space for terms: 619
% 0.45/1.17 space for clauses: 2218
% 0.45/1.17
% 0.45/1.17
% 0.45/1.17 clauses generated: 58
% 0.45/1.17 clauses kept: 42
% 0.45/1.17 clauses selected: 39
% 0.45/1.17 clauses deleted: 2
% 0.45/1.17 clauses inuse deleted: 0
% 0.45/1.17
% 0.45/1.17 subsentry: 4
% 0.45/1.17 literals s-matched: 4
% 0.45/1.17 literals matched: 4
% 0.45/1.17 full subsumption: 0
% 0.45/1.17
% 0.45/1.17 checksum: 147197515
% 0.45/1.17
% 0.45/1.17
% 0.45/1.17 Bliksem ended
%------------------------------------------------------------------------------