TSTP Solution File: LCL656+1.001 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL656+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n007.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 07:55:56 EDT 2022
% Result : Theorem 0.67s 1.08s
% Output : Refutation 0.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL656+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sun Jul 3 07:06:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.67/1.08 *** allocated 10000 integers for termspace/termends
% 0.67/1.08 *** allocated 10000 integers for clauses
% 0.67/1.08 *** allocated 10000 integers for justifications
% 0.67/1.08 Bliksem 1.12
% 0.67/1.08
% 0.67/1.08
% 0.67/1.08 Automatic Strategy Selection
% 0.67/1.08
% 0.67/1.08
% 0.67/1.08 Clauses:
% 0.67/1.08
% 0.67/1.08 { r1( X, X ) }.
% 0.67/1.08 { ! r1( skol1, X ), p2( X ) }.
% 0.67/1.08 { ! r1( skol1, X ), alpha1( X ) }.
% 0.67/1.08 { ! r1( skol1, X ), ! r1( X, Y ), ! p2( Y ), ! p101( Y ), p2( X ), ! p101(
% 0.67/1.08 X ) }.
% 0.67/1.08 { ! r1( skol1, X ), ! r1( X, Y ), p2( Y ), ! p101( Y ), ! p2( X ), ! p101(
% 0.67/1.08 X ) }.
% 0.67/1.08 { ! r1( skol1, X ), ! r1( X, Y ), ! p1( Y ), ! p100( Y ), p1( X ), ! p100(
% 0.67/1.08 X ) }.
% 0.67/1.08 { ! r1( skol1, X ), ! r1( X, Y ), p1( Y ), ! p100( Y ), ! p1( X ), ! p100(
% 0.67/1.08 X ) }.
% 0.67/1.08 { ! r1( skol1, X ), p101( X ), ! p102( X ) }.
% 0.67/1.08 { ! r1( skol1, X ), p100( X ), ! p101( X ) }.
% 0.67/1.08 { ! p101( skol1 ) }.
% 0.67/1.08 { p100( skol1 ) }.
% 0.67/1.08 { ! alpha1( X ), alpha2( X ), ! p100( X ) }.
% 0.67/1.08 { ! alpha2( X ), alpha1( X ) }.
% 0.67/1.08 { p100( X ), alpha1( X ) }.
% 0.67/1.08 { ! alpha2( X ), alpha3( X ), p101( X ) }.
% 0.67/1.08 { ! alpha3( X ), alpha2( X ) }.
% 0.67/1.08 { ! p101( X ), alpha2( X ) }.
% 0.67/1.08 { ! alpha3( X ), alpha4( X ) }.
% 0.67/1.08 { ! alpha3( X ), alpha5( X ) }.
% 0.67/1.08 { ! alpha4( X ), ! alpha5( X ), alpha3( X ) }.
% 0.67/1.08 { ! alpha5( X ), p101( skol2( Y ) ) }.
% 0.67/1.08 { ! alpha5( X ), alpha7( X, skol2( X ) ) }.
% 0.67/1.08 { ! alpha7( X, Y ), ! p101( Y ), alpha5( X ) }.
% 0.67/1.08 { ! alpha7( X, Y ), r1( X, Y ) }.
% 0.67/1.08 { ! alpha7( X, Y ), p2( Y ) }.
% 0.67/1.08 { ! alpha7( X, Y ), ! p102( Y ) }.
% 0.67/1.08 { ! r1( X, Y ), ! p2( Y ), p102( Y ), alpha7( X, Y ) }.
% 0.67/1.08 { ! alpha4( X ), p101( skol3( Y ) ) }.
% 0.67/1.08 { ! alpha4( X ), alpha6( X, skol3( X ) ) }.
% 0.67/1.08 { ! alpha6( X, Y ), ! p101( Y ), alpha4( X ) }.
% 0.67/1.08 { ! alpha6( X, Y ), r1( X, Y ) }.
% 0.67/1.08 { ! alpha6( X, Y ), ! p2( Y ) }.
% 0.67/1.08 { ! alpha6( X, Y ), ! p102( Y ) }.
% 0.67/1.08 { ! r1( X, Y ), p2( Y ), p102( Y ), alpha6( X, Y ) }.
% 0.67/1.08
% 0.67/1.08 percentage equality = 0.000000, percentage horn = 0.878788
% 0.67/1.08 This a non-horn, non-equality problem
% 0.67/1.08
% 0.67/1.08
% 0.67/1.08 Options Used:
% 0.67/1.08
% 0.67/1.08 useres = 1
% 0.67/1.08 useparamod = 0
% 0.67/1.08 useeqrefl = 0
% 0.67/1.08 useeqfact = 0
% 0.67/1.08 usefactor = 1
% 0.67/1.08 usesimpsplitting = 0
% 0.67/1.08 usesimpdemod = 0
% 0.67/1.08 usesimpres = 3
% 0.67/1.08
% 0.67/1.08 resimpinuse = 1000
% 0.67/1.08 resimpclauses = 20000
% 0.67/1.08 substype = standard
% 0.67/1.08 backwardsubs = 1
% 0.67/1.08 selectoldest = 5
% 0.67/1.08
% 0.67/1.08 litorderings [0] = split
% 0.67/1.08 litorderings [1] = liftord
% 0.67/1.08
% 0.67/1.08 termordering = none
% 0.67/1.08
% 0.67/1.08 litapriori = 1
% 0.67/1.08 termapriori = 0
% 0.67/1.08 litaposteriori = 0
% 0.67/1.08 termaposteriori = 0
% 0.67/1.08 demodaposteriori = 0
% 0.67/1.08 ordereqreflfact = 0
% 0.67/1.08
% 0.67/1.08 litselect = none
% 0.67/1.08
% 0.67/1.08 maxweight = 15
% 0.67/1.08 maxdepth = 30000
% 0.67/1.08 maxlength = 115
% 0.67/1.08 maxnrvars = 195
% 0.67/1.08 excuselevel = 1
% 0.67/1.08 increasemaxweight = 1
% 0.67/1.08
% 0.67/1.08 maxselected = 10000000
% 0.67/1.08 maxnrclauses = 10000000
% 0.67/1.08
% 0.67/1.08 showgenerated = 0
% 0.67/1.08 showkept = 0
% 0.67/1.08 showselected = 0
% 0.67/1.08 showdeleted = 0
% 0.67/1.08 showresimp = 1
% 0.67/1.08 showstatus = 2000
% 0.67/1.08
% 0.67/1.08 prologoutput = 0
% 0.67/1.08 nrgoals = 5000000
% 0.67/1.08 totalproof = 1
% 0.67/1.08
% 0.67/1.08 Symbols occurring in the translation:
% 0.67/1.08
% 0.67/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.67/1.08 . [1, 2] (w:1, o:26, a:1, s:1, b:0),
% 0.67/1.08 ! [4, 1] (w:0, o:9, a:1, s:1, b:0),
% 0.67/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.67/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.67/1.08 r1 [36, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.67/1.08 p2 [38, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.67/1.08 p102 [39, 1] (w:1, o:16, a:1, s:1, b:0),
% 0.67/1.08 p101 [40, 1] (w:1, o:15, a:1, s:1, b:0),
% 0.67/1.08 p100 [41, 1] (w:1, o:14, a:1, s:1, b:0),
% 0.67/1.08 p1 [42, 1] (w:1, o:17, a:1, s:1, b:0),
% 0.67/1.08 alpha1 [43, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.67/1.08 alpha2 [44, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.67/1.08 alpha3 [45, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.67/1.08 alpha4 [46, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.67/1.08 alpha5 [47, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.67/1.08 alpha6 [48, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.67/1.08 alpha7 [49, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.67/1.08 skol1 [50, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.67/1.08 skol2 [51, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.67/1.08 skol3 [52, 1] (w:1, o:25, a:1, s:1, b:0).
% 0.67/1.08
% 0.67/1.08
% 0.67/1.08 Starting Search:
% 0.67/1.08
% 0.67/1.08
% 0.67/1.08 Bliksems!, er is een bewijs:
% 0.67/1.08 % SZS status Theorem
% 0.67/1.08 % SZS output start Refutation
% 0.67/1.08
% 0.67/1.08 (0) {G0,W3,D2,L1,V1,M1} I { r1( X, X ) }.
% 0.67/1.08 (1) {G0,W5,D2,L2,V1,M1} I { p2( X ), ! r1( skol1, X ) }.
% 0.67/1.08 (2) {G0,W5,D2,L2,V1,M1} I { alpha1( X ), ! r1( skol1, X ) }.
% 0.67/1.08 (8) {G0,W2,D2,L1,V0,M1} I { ! p101( skol1 ) }.
% 0.67/1.08 (9) {G0,W2,D2,L1,V0,M1} I { p100( skol1 ) }.
% 0.67/1.08 (10) {G0,W6,D2,L3,V1,M1} I { ! alpha1( X ), ! p100( X ), alpha2( X ) }.
% 0.67/1.08 (13) {G0,W6,D2,L3,V1,M1} I { ! alpha2( X ), p101( X ), alpha3( X ) }.
% 0.67/1.08 (16) {G0,W4,D2,L2,V1,M1} I { ! alpha3( X ), alpha4( X ) }.
% 0.67/1.08 (27) {G0,W6,D3,L2,V1,M1} I { ! alpha4( X ), alpha6( X, skol3( X ) ) }.
% 0.67/1.08 (29) {G0,W6,D2,L2,V2,M1} I { r1( X, Y ), ! alpha6( X, Y ) }.
% 0.67/1.08 (30) {G0,W5,D2,L2,V2,M1} I { ! p2( Y ), ! alpha6( X, Y ) }.
% 0.67/1.08 (34) {G1,W2,D2,L1,V0,M1} R(2,0) { alpha1( skol1 ) }.
% 0.67/1.08 (47) {G1,W6,D3,L2,V1,M1} R(27,29) { ! alpha4( X ), r1( X, skol3( X ) ) }.
% 0.67/1.08 (48) {G1,W5,D3,L2,V1,M1} R(27,30) { ! p2( skol3( X ) ), ! alpha4( X ) }.
% 0.67/1.08 (77) {G2,W2,D2,L1,V0,M1} R(47,1);r(48) { ! alpha4( skol1 ) }.
% 0.67/1.08 (78) {G3,W2,D2,L1,V0,M1} R(77,16) { ! alpha3( skol1 ) }.
% 0.67/1.08 (79) {G4,W2,D2,L1,V0,M1} R(78,13);r(8) { ! alpha2( skol1 ) }.
% 0.67/1.08 (80) {G5,W2,D2,L1,V0,M1} R(79,10);r(34) { ! p100( skol1 ) }.
% 0.67/1.08 (81) {G6,W0,D0,L0,V0,M0} S(80);r(9) { }.
% 0.67/1.08
% 0.67/1.08
% 0.67/1.08 % SZS output end Refutation
% 0.67/1.08 found a proof!
% 0.67/1.08
% 0.67/1.08
% 0.67/1.08 Unprocessed initial clauses:
% 0.67/1.08
% 0.67/1.08 (83) {G0,W3,D2,L1,V1,M1} { r1( X, X ) }.
% 0.67/1.08 (84) {G0,W5,D2,L2,V1,M2} { ! r1( skol1, X ), p2( X ) }.
% 0.67/1.08 (85) {G0,W5,D2,L2,V1,M2} { ! r1( skol1, X ), alpha1( X ) }.
% 0.67/1.08 (86) {G0,W14,D2,L6,V2,M6} { ! r1( skol1, X ), ! r1( X, Y ), ! p2( Y ), !
% 0.67/1.08 p101( Y ), p2( X ), ! p101( X ) }.
% 0.67/1.08 (87) {G0,W14,D2,L6,V2,M6} { ! r1( skol1, X ), ! r1( X, Y ), p2( Y ), !
% 0.67/1.08 p101( Y ), ! p2( X ), ! p101( X ) }.
% 0.67/1.08 (88) {G0,W14,D2,L6,V2,M6} { ! r1( skol1, X ), ! r1( X, Y ), ! p1( Y ), !
% 0.67/1.08 p100( Y ), p1( X ), ! p100( X ) }.
% 0.67/1.08 (89) {G0,W14,D2,L6,V2,M6} { ! r1( skol1, X ), ! r1( X, Y ), p1( Y ), !
% 0.67/1.08 p100( Y ), ! p1( X ), ! p100( X ) }.
% 0.67/1.08 (90) {G0,W7,D2,L3,V1,M3} { ! r1( skol1, X ), p101( X ), ! p102( X ) }.
% 0.67/1.08 (91) {G0,W7,D2,L3,V1,M3} { ! r1( skol1, X ), p100( X ), ! p101( X ) }.
% 0.67/1.08 (92) {G0,W2,D2,L1,V0,M1} { ! p101( skol1 ) }.
% 0.67/1.08 (93) {G0,W2,D2,L1,V0,M1} { p100( skol1 ) }.
% 0.67/1.08 (94) {G0,W6,D2,L3,V1,M3} { ! alpha1( X ), alpha2( X ), ! p100( X ) }.
% 0.67/1.08 (95) {G0,W4,D2,L2,V1,M2} { ! alpha2( X ), alpha1( X ) }.
% 0.67/1.08 (96) {G0,W4,D2,L2,V1,M2} { p100( X ), alpha1( X ) }.
% 0.67/1.08 (97) {G0,W6,D2,L3,V1,M3} { ! alpha2( X ), alpha3( X ), p101( X ) }.
% 0.67/1.08 (98) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), alpha2( X ) }.
% 0.67/1.08 (99) {G0,W4,D2,L2,V1,M2} { ! p101( X ), alpha2( X ) }.
% 0.67/1.08 (100) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), alpha4( X ) }.
% 0.67/1.08 (101) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), alpha5( X ) }.
% 0.67/1.08 (102) {G0,W6,D2,L3,V1,M3} { ! alpha4( X ), ! alpha5( X ), alpha3( X ) }.
% 0.67/1.08 (103) {G0,W5,D3,L2,V2,M2} { ! alpha5( X ), p101( skol2( Y ) ) }.
% 0.67/1.08 (104) {G0,W6,D3,L2,V1,M2} { ! alpha5( X ), alpha7( X, skol2( X ) ) }.
% 0.67/1.08 (105) {G0,W7,D2,L3,V2,M3} { ! alpha7( X, Y ), ! p101( Y ), alpha5( X ) }.
% 0.67/1.08 (106) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), r1( X, Y ) }.
% 0.67/1.08 (107) {G0,W5,D2,L2,V2,M2} { ! alpha7( X, Y ), p2( Y ) }.
% 0.67/1.08 (108) {G0,W5,D2,L2,V2,M2} { ! alpha7( X, Y ), ! p102( Y ) }.
% 0.67/1.08 (109) {G0,W10,D2,L4,V2,M4} { ! r1( X, Y ), ! p2( Y ), p102( Y ), alpha7( X
% 0.67/1.08 , Y ) }.
% 0.67/1.08 (110) {G0,W5,D3,L2,V2,M2} { ! alpha4( X ), p101( skol3( Y ) ) }.
% 0.67/1.08 (111) {G0,W6,D3,L2,V1,M2} { ! alpha4( X ), alpha6( X, skol3( X ) ) }.
% 0.67/1.08 (112) {G0,W7,D2,L3,V2,M3} { ! alpha6( X, Y ), ! p101( Y ), alpha4( X ) }.
% 0.67/1.08 (113) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), r1( X, Y ) }.
% 0.67/1.08 (114) {G0,W5,D2,L2,V2,M2} { ! alpha6( X, Y ), ! p2( Y ) }.
% 0.67/1.08 (115) {G0,W5,D2,L2,V2,M2} { ! alpha6( X, Y ), ! p102( Y ) }.
% 0.67/1.08 (116) {G0,W10,D2,L4,V2,M4} { ! r1( X, Y ), p2( Y ), p102( Y ), alpha6( X,
% 0.67/1.08 Y ) }.
% 0.67/1.08
% 0.67/1.08
% 0.67/1.08 Total Proof:
% 0.67/1.08
% 0.67/1.08 subsumption: (0) {G0,W3,D2,L1,V1,M1} I { r1( X, X ) }.
% 0.67/1.08 parent0: (83) {G0,W3,D2,L1,V1,M1} { r1( X, X ) }.
% 0.67/1.08 substitution0:
% 0.67/1.08 X := X
% 0.67/1.08 end
% 0.67/1.08 permutation0:
% 0.67/1.08 0 ==> 0
% 0.67/1.08 end
% 0.67/1.08
% 0.67/1.08 subsumption: (1) {G0,W5,D2,L2,V1,M1} I { p2( X ), ! r1( skol1, X ) }.
% 0.67/1.08 parent0: (84) {G0,W5,D2,L2,V1,M2} { ! r1( skol1, X ), p2( X ) }.
% 0.67/1.08 substitution0:
% 0.67/1.08 X := X
% 0.67/1.08 end
% 0.67/1.08 permutation0:
% 0.67/1.08 0 ==> 1
% 0.67/1.08 1 ==> 0
% 0.67/1.08 end
% 0.67/1.08
% 0.67/1.08 subsumption: (2) {G0,W5,D2,L2,V1,M1} I { alpha1( X ), ! r1( skol1, X ) }.
% 0.67/1.08 parent0: (85) {G0,W5,D2,L2,V1,M2} { ! r1( skol1, X ), alpha1( X ) }.
% 0.67/1.08 substitution0:
% 0.67/1.08 X := X
% 0.67/1.08 end
% 0.67/1.08 permutation0:
% 0.67/1.08 0 ==> 1
% 0.67/1.08 1 ==> 0
% 0.67/1.08 end
% 0.67/1.08
% 0.67/1.08 subsumption: (8) {G0,W2,D2,L1,V0,M1} I { ! p101( skol1 ) }.
% 0.67/1.08 parent0: (92) {G0,W2,D2,L1,V0,M1} { ! p101( skol1 ) }.
% 0.67/1.08 substitution0:
% 0.67/1.08 end
% 0.67/1.08 permutation0:
% 0.67/1.08 0 ==> 0
% 0.67/1.08 end
% 0.67/1.08
% 0.67/1.08 subsumption: (9) {G0,W2,D2,L1,V0,M1} I { p100( skol1 ) }.
% 0.67/1.08 parent0: (93) {G0,W2,D2,L1,V0,M1} { p100( skol1 ) }.
% 0.67/1.08 substitution0:
% 0.67/1.08 end
% 0.67/1.08 permutation0:
% 0.67/1.08 0 ==> 0
% 0.67/1.08 end
% 0.67/1.08
% 0.67/1.08 subsumption: (10) {G0,W6,D2,L3,V1,M1} I { ! alpha1( X ), ! p100( X ),
% 0.67/1.08 alpha2( X ) }.
% 0.67/1.08 parent0: (94) {G0,W6,D2,L3,V1,M3} { ! alpha1( X ), alpha2( X ), ! p100( X
% 0.67/1.08 ) }.
% 0.67/1.08 substitution0:
% 0.67/1.08 X := X
% 0.67/1.08 end
% 0.67/1.08 permutation0:
% 0.67/1.08 0 ==> 0
% 0.67/1.08 1 ==> 2
% 0.67/1.08 2 ==> 1
% 0.67/1.08 end
% 0.67/1.08
% 0.67/1.08 subsumption: (13) {G0,W6,D2,L3,V1,M1} I { ! alpha2( X ), p101( X ), alpha3
% 0.67/1.08 ( X ) }.
% 0.67/1.08 parent0: (97) {G0,W6,D2,L3,V1,M3} { ! alpha2( X ), alpha3( X ), p101( X )
% 0.67/1.08 }.
% 0.67/1.08 substitution0:
% 0.67/1.08 X := X
% 0.67/1.08 end
% 0.67/1.08 permutation0:
% 0.67/1.08 0 ==> 0
% 0.67/1.08 1 ==> 2
% 0.67/1.08 2 ==> 1
% 0.67/1.08 end
% 0.67/1.08
% 0.67/1.08 subsumption: (16) {G0,W4,D2,L2,V1,M1} I { ! alpha3( X ), alpha4( X ) }.
% 0.67/1.08 parent0: (100) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), alpha4( X ) }.
% 0.67/1.08 substitution0:
% 0.67/1.08 X := X
% 0.67/1.08 end
% 0.67/1.08 permutation0:
% 0.67/1.08 0 ==> 0
% 0.67/1.08 1 ==> 1
% 0.67/1.08 end
% 0.67/1.08
% 0.67/1.08 subsumption: (27) {G0,W6,D3,L2,V1,M1} I { ! alpha4( X ), alpha6( X, skol3(
% 0.67/1.08 X ) ) }.
% 0.67/1.08 parent0: (111) {G0,W6,D3,L2,V1,M2} { ! alpha4( X ), alpha6( X, skol3( X )
% 0.67/1.08 ) }.
% 0.67/1.08 substitution0:
% 0.67/1.08 X := X
% 0.67/1.08 end
% 0.67/1.08 permutation0:
% 0.67/1.08 0 ==> 0
% 0.67/1.08 1 ==> 1
% 0.67/1.08 end
% 0.67/1.08
% 0.67/1.08 subsumption: (29) {G0,W6,D2,L2,V2,M1} I { r1( X, Y ), ! alpha6( X, Y ) }.
% 0.67/1.08 parent0: (113) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), r1( X, Y ) }.
% 0.67/1.08 substitution0:
% 0.67/1.08 X := X
% 0.67/1.08 Y := Y
% 0.67/1.08 end
% 0.67/1.08 permutation0:
% 0.67/1.08 0 ==> 1
% 0.67/1.08 1 ==> 0
% 0.67/1.08 end
% 0.67/1.08
% 0.67/1.08 subsumption: (30) {G0,W5,D2,L2,V2,M1} I { ! p2( Y ), ! alpha6( X, Y ) }.
% 0.67/1.08 parent0: (114) {G0,W5,D2,L2,V2,M2} { ! alpha6( X, Y ), ! p2( Y ) }.
% 0.67/1.08 substitution0:
% 0.67/1.08 X := X
% 0.67/1.08 Y := Y
% 0.67/1.08 end
% 0.67/1.08 permutation0:
% 0.67/1.08 0 ==> 1
% 0.67/1.08 1 ==> 0
% 0.67/1.08 end
% 0.67/1.08
% 0.67/1.08 resolution: (213) {G1,W2,D2,L1,V0,M1} { alpha1( skol1 ) }.
% 0.67/1.08 parent0[1]: (2) {G0,W5,D2,L2,V1,M1} I { alpha1( X ), ! r1( skol1, X ) }.
% 0.67/1.08 parent1[0]: (0) {G0,W3,D2,L1,V1,M1} I { r1( X, X ) }.
% 0.67/1.08 substitution0:
% 0.67/1.08 X := skol1
% 0.67/1.08 end
% 0.67/1.08 substitution1:
% 0.67/1.08 X := skol1
% 0.67/1.08 end
% 0.67/1.08
% 0.67/1.08 subsumption: (34) {G1,W2,D2,L1,V0,M1} R(2,0) { alpha1( skol1 ) }.
% 0.67/1.08 parent0: (213) {G1,W2,D2,L1,V0,M1} { alpha1( skol1 ) }.
% 0.67/1.08 substitution0:
% 0.67/1.08 end
% 0.67/1.08 permutation0:
% 0.67/1.08 0 ==> 0
% 0.67/1.08 end
% 0.67/1.08
% 0.67/1.08 resolution: (214) {G1,W6,D3,L2,V1,M2} { r1( X, skol3( X ) ), ! alpha4( X )
% 0.67/1.08 }.
% 0.67/1.08 parent0[1]: (29) {G0,W6,D2,L2,V2,M1} I { r1( X, Y ), ! alpha6( X, Y ) }.
% 0.67/1.08 parent1[1]: (27) {G0,W6,D3,L2,V1,M1} I { ! alpha4( X ), alpha6( X, skol3( X
% 0.67/1.08 ) ) }.
% 0.67/1.08 substitution0:
% 0.67/1.08 X := X
% 0.67/1.08 Y := skol3( X )
% 0.67/1.08 end
% 0.67/1.08 substitution1:
% 0.67/1.08 X := X
% 0.67/1.08 end
% 0.67/1.08
% 0.67/1.08 subsumption: (47) {G1,W6,D3,L2,V1,M1} R(27,29) { ! alpha4( X ), r1( X,
% 0.67/1.08 skol3( X ) ) }.
% 0.67/1.08 parent0: (214) {G1,W6,D3,L2,V1,M2} { r1( X, skol3( X ) ), ! alpha4( X )
% 0.67/1.08 }.
% 0.67/1.08 substitution0:
% 0.67/1.08 X := X
% 0.67/1.08 end
% 0.67/1.08 permutation0:
% 0.67/1.08 0 ==> 1
% 0.67/1.08 1 ==> 0
% 0.67/1.08 end
% 0.67/1.08
% 0.67/1.08 resolution: (215) {G1,W5,D3,L2,V1,M2} { ! p2( skol3( X ) ), ! alpha4( X )
% 0.67/1.08 }.
% 0.67/1.08 parent0[1]: (30) {G0,W5,D2,L2,V2,M1} I { ! p2( Y ), ! alpha6( X, Y ) }.
% 0.67/1.08 parent1[1]: (27) {G0,W6,D3,L2,V1,M1} I { ! alpha4( X ), alpha6( X, skol3( X
% 0.67/1.08 ) ) }.
% 0.67/1.08 substitution0:
% 0.67/1.08 X := X
% 0.67/1.08 Y := skol3( X )
% 0.67/1.08 end
% 0.67/1.08 substitution1:
% 0.67/1.08 X := X
% 0.67/1.08 end
% 0.67/1.08
% 0.67/1.08 subsumption: (48) {G1,W5,D3,L2,V1,M1} R(27,30) { ! p2( skol3( X ) ), !
% 0.67/1.08 alpha4( X ) }.
% 0.67/1.08 parent0: (215) {G1,W5,D3,L2,V1,M2} { ! p2( skol3( X ) ), ! alpha4( X ) }.
% 0.67/1.08 substitution0:
% 0.67/1.08 X := X
% 0.67/1.08 end
% 0.67/1.08 permutation0:
% 0.67/1.08 0 ==> 0
% 0.67/1.08 1 ==> 1
% 0.67/1.08 end
% 0.67/1.08
% 0.67/1.08 resolution: (216) {G1,W5,D3,L2,V0,M2} { p2( skol3( skol1 ) ), ! alpha4(
% 0.67/1.08 skol1 ) }.
% 0.67/1.08 parent0[1]: (1) {G0,W5,D2,L2,V1,M1} I { p2( X ), ! r1( skol1, X ) }.
% 0.67/1.08 parent1[1]: (47) {G1,W6,D3,L2,V1,M1} R(27,29) { ! alpha4( X ), r1( X, skol3
% 0.67/1.08 ( X ) ) }.
% 0.67/1.08 substitution0:
% 0.67/1.08 X := skol3( skol1 )
% 0.67/1.08 end
% 0.67/1.08 substitution1:
% 0.67/1.08 X := skol1
% 0.67/1.08 end
% 0.67/1.08
% 0.67/1.08 resolution: (217) {G2,W4,D2,L2,V0,M2} { ! alpha4( skol1 ), ! alpha4( skol1
% 0.67/1.08 ) }.
% 0.67/1.08 parent0[0]: (48) {G1,W5,D3,L2,V1,M1} R(27,30) { ! p2( skol3( X ) ), !
% 0.67/1.08 alpha4( X ) }.
% 0.67/1.08 parent1[0]: (216) {G1,W5,D3,L2,V0,M2} { p2( skol3( skol1 ) ), ! alpha4(
% 0.67/1.08 skol1 ) }.
% 0.67/1.08 substitution0:
% 0.67/1.08 X := skol1
% 0.67/1.08 end
% 0.67/1.08 substitution1:
% 0.67/1.08 end
% 0.67/1.08
% 0.67/1.08 factor: (218) {G2,W2,D2,L1,V0,M1} { ! alpha4( skol1 ) }.
% 0.67/1.08 parent0[0, 1]: (217) {G2,W4,D2,L2,V0,M2} { ! alpha4( skol1 ), ! alpha4(
% 0.67/1.08 skol1 ) }.
% 0.67/1.08 substitution0:
% 0.67/1.08 end
% 0.67/1.08
% 0.67/1.08 subsumption: (77) {G2,W2,D2,L1,V0,M1} R(47,1);r(48) { ! alpha4( skol1 ) }.
% 0.67/1.08 parent0: (218) {G2,W2,D2,L1,V0,M1} { ! alpha4( skol1 ) }.
% 0.67/1.08 substitution0:
% 0.67/1.08 end
% 0.67/1.08 permutation0:
% 0.67/1.08 0 ==> 0
% 0.67/1.08 end
% 0.67/1.08
% 0.67/1.08 resolution: (219) {G1,W2,D2,L1,V0,M1} { ! alpha3( skol1 ) }.
% 0.67/1.08 parent0[0]: (77) {G2,W2,D2,L1,V0,M1} R(47,1);r(48) { ! alpha4( skol1 ) }.
% 0.67/1.08 parent1[1]: (16) {G0,W4,D2,L2,V1,M1} I { ! alpha3( X ), alpha4( X ) }.
% 0.67/1.08 substitution0:
% 0.67/1.08 end
% 0.67/1.08 substitution1:
% 0.67/1.08 X := skol1
% 0.67/1.08 end
% 0.67/1.08
% 0.67/1.08 subsumption: (78) {G3,W2,D2,L1,V0,M1} R(77,16) { ! alpha3( skol1 ) }.
% 0.67/1.08 parent0: (219) {G1,W2,D2,L1,V0,M1} { ! alpha3( skol1 ) }.
% 0.67/1.08 substitution0:
% 0.67/1.08 end
% 0.67/1.08 permutation0:
% 0.67/1.08 0 ==> 0
% 0.67/1.08 end
% 0.67/1.08
% 0.67/1.08 resolution: (220) {G1,W4,D2,L2,V0,M2} { ! alpha2( skol1 ), p101( skol1 )
% 0.67/1.08 }.
% 0.67/1.08 parent0[0]: (78) {G3,W2,D2,L1,V0,M1} R(77,16) { ! alpha3( skol1 ) }.
% 0.67/1.08 parent1[2]: (13) {G0,W6,D2,L3,V1,M1} I { ! alpha2( X ), p101( X ), alpha3(
% 0.67/1.08 X ) }.
% 0.67/1.08 substitution0:
% 0.67/1.08 end
% 0.67/1.08 substitution1:
% 0.67/1.08 X := skol1
% 0.67/1.08 end
% 0.67/1.08
% 0.67/1.08 resolution: (221) {G1,W2,D2,L1,V0,M1} { ! alpha2( skol1 ) }.
% 0.67/1.08 parent0[0]: (8) {G0,W2,D2,L1,V0,M1} I { ! p101( skol1 ) }.
% 0.67/1.08 parent1[1]: (220) {G1,W4,D2,L2,V0,M2} { ! alpha2( skol1 ), p101( skol1 )
% 0.67/1.08 }.
% 0.67/1.08 substitution0:
% 0.67/1.08 end
% 0.67/1.08 substitution1:
% 0.67/1.08 end
% 0.67/1.08
% 0.67/1.08 subsumption: (79) {G4,W2,D2,L1,V0,M1} R(78,13);r(8) { ! alpha2( skol1 ) }.
% 0.67/1.08 parent0: (221) {G1,W2,D2,L1,V0,M1} { ! alpha2( skol1 ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 end
% 0.73/1.08 permutation0:
% 0.73/1.08 0 ==> 0
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 resolution: (222) {G1,W4,D2,L2,V0,M2} { ! alpha1( skol1 ), ! p100( skol1 )
% 0.73/1.08 }.
% 0.73/1.08 parent0[0]: (79) {G4,W2,D2,L1,V0,M1} R(78,13);r(8) { ! alpha2( skol1 ) }.
% 0.73/1.08 parent1[2]: (10) {G0,W6,D2,L3,V1,M1} I { ! alpha1( X ), ! p100( X ), alpha2
% 0.73/1.08 ( X ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 end
% 0.73/1.08 substitution1:
% 0.73/1.08 X := skol1
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 resolution: (223) {G2,W2,D2,L1,V0,M1} { ! p100( skol1 ) }.
% 0.73/1.08 parent0[0]: (222) {G1,W4,D2,L2,V0,M2} { ! alpha1( skol1 ), ! p100( skol1 )
% 0.73/1.08 }.
% 0.73/1.08 parent1[0]: (34) {G1,W2,D2,L1,V0,M1} R(2,0) { alpha1( skol1 ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 end
% 0.73/1.08 substitution1:
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 subsumption: (80) {G5,W2,D2,L1,V0,M1} R(79,10);r(34) { ! p100( skol1 ) }.
% 0.73/1.08 parent0: (223) {G2,W2,D2,L1,V0,M1} { ! p100( skol1 ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 end
% 0.73/1.08 permutation0:
% 0.73/1.08 0 ==> 0
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 resolution: (224) {G1,W0,D0,L0,V0,M0} { }.
% 0.73/1.08 parent0[0]: (80) {G5,W2,D2,L1,V0,M1} R(79,10);r(34) { ! p100( skol1 ) }.
% 0.73/1.08 parent1[0]: (9) {G0,W2,D2,L1,V0,M1} I { p100( skol1 ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 end
% 0.73/1.08 substitution1:
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 subsumption: (81) {G6,W0,D0,L0,V0,M0} S(80);r(9) { }.
% 0.73/1.08 parent0: (224) {G1,W0,D0,L0,V0,M0} { }.
% 0.73/1.08 substitution0:
% 0.73/1.08 end
% 0.73/1.08 permutation0:
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 Proof check complete!
% 0.73/1.08
% 0.73/1.08 Memory use:
% 0.73/1.08
% 0.73/1.08 space for terms: 1239
% 0.73/1.08 space for clauses: 3932
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 clauses generated: 116
% 0.73/1.08 clauses kept: 82
% 0.73/1.08 clauses selected: 57
% 0.73/1.08 clauses deleted: 2
% 0.73/1.08 clauses inuse deleted: 0
% 0.73/1.08
% 0.73/1.08 subsentry: 103
% 0.73/1.08 literals s-matched: 61
% 0.73/1.08 literals matched: 61
% 0.73/1.08 full subsumption: 11
% 0.73/1.08
% 0.73/1.08 checksum: 875200825
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 Bliksem ended
%------------------------------------------------------------------------------