TSTP Solution File: LCL674+1.001 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL674+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n011.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 07:56:33 EDT 2022
% Result : Theorem 0.48s 1.20s
% Output : Refutation 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : LCL674+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14 % Command : bliksem %s
% 0.14/0.35 % Computer : n011.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Mon Jul 4 20:57:06 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.48/1.20 *** allocated 10000 integers for termspace/termends
% 0.48/1.20 *** allocated 10000 integers for clauses
% 0.48/1.20 *** allocated 10000 integers for justifications
% 0.48/1.20 Bliksem 1.12
% 0.48/1.20
% 0.48/1.20
% 0.48/1.20 Automatic Strategy Selection
% 0.48/1.20
% 0.48/1.20
% 0.48/1.20 Clauses:
% 0.48/1.20
% 0.48/1.20 { r1( X, X ) }.
% 0.48/1.20 { ! r1( X, Z ), ! r1( Z, Y ), r1( X, Y ) }.
% 0.48/1.20 { ! r1( skol1, X ), p2( X ) }.
% 0.48/1.20 { ! r1( skol1, X ), alpha1( X ) }.
% 0.48/1.20 { ! r1( skol1, X ), ! r1( X, Y ), ! p2( Y ), ! p101( Y ), p2( X ), ! p101(
% 0.48/1.20 X ) }.
% 0.48/1.20 { ! r1( skol1, X ), ! r1( X, Y ), p2( Y ), ! p101( Y ), ! p2( X ), ! p101(
% 0.48/1.20 X ) }.
% 0.48/1.20 { ! r1( skol1, X ), ! r1( X, Y ), ! p1( Y ), ! p100( Y ), p1( X ), ! p100(
% 0.48/1.20 X ) }.
% 0.48/1.20 { ! r1( skol1, X ), ! r1( X, Y ), p1( Y ), ! p100( Y ), ! p1( X ), ! p100(
% 0.48/1.20 X ) }.
% 0.48/1.20 { ! r1( skol1, X ), p101( X ), ! p102( X ) }.
% 0.48/1.20 { ! r1( skol1, X ), p100( X ), ! p101( X ) }.
% 0.48/1.20 { ! p101( skol1 ) }.
% 0.48/1.20 { p100( skol1 ) }.
% 0.48/1.20 { ! alpha1( X ), alpha2( X ), ! p100( X ) }.
% 0.48/1.20 { ! alpha2( X ), alpha1( X ) }.
% 0.48/1.20 { p100( X ), alpha1( X ) }.
% 0.48/1.20 { ! alpha2( X ), alpha3( X ), p101( X ) }.
% 0.48/1.20 { ! alpha3( X ), alpha2( X ) }.
% 0.48/1.20 { ! p101( X ), alpha2( X ) }.
% 0.48/1.20 { ! alpha3( X ), alpha4( X ) }.
% 0.48/1.20 { ! alpha3( X ), alpha5( X ) }.
% 0.48/1.20 { ! alpha4( X ), ! alpha5( X ), alpha3( X ) }.
% 0.48/1.20 { ! alpha5( X ), p101( skol2( Y ) ) }.
% 0.48/1.20 { ! alpha5( X ), alpha7( X, skol2( X ) ) }.
% 0.48/1.20 { ! alpha7( X, Y ), ! p101( Y ), alpha5( X ) }.
% 0.48/1.20 { ! alpha7( X, Y ), r1( X, Y ) }.
% 0.48/1.20 { ! alpha7( X, Y ), p2( Y ) }.
% 0.48/1.20 { ! alpha7( X, Y ), ! p102( Y ) }.
% 0.48/1.20 { ! r1( X, Y ), ! p2( Y ), p102( Y ), alpha7( X, Y ) }.
% 0.48/1.20 { ! alpha4( X ), p101( skol3( Y ) ) }.
% 0.48/1.20 { ! alpha4( X ), alpha6( X, skol3( X ) ) }.
% 0.48/1.20 { ! alpha6( X, Y ), ! p101( Y ), alpha4( X ) }.
% 0.48/1.20 { ! alpha6( X, Y ), r1( X, Y ) }.
% 0.48/1.20 { ! alpha6( X, Y ), ! p2( Y ) }.
% 0.48/1.20 { ! alpha6( X, Y ), ! p102( Y ) }.
% 0.48/1.20 { ! r1( X, Y ), p2( Y ), p102( Y ), alpha6( X, Y ) }.
% 0.48/1.20
% 0.48/1.20 percentage equality = 0.000000, percentage horn = 0.882353
% 0.48/1.20 This a non-horn, non-equality problem
% 0.48/1.20
% 0.48/1.20
% 0.48/1.20 Options Used:
% 0.48/1.20
% 0.48/1.20 useres = 1
% 0.48/1.20 useparamod = 0
% 0.48/1.20 useeqrefl = 0
% 0.48/1.20 useeqfact = 0
% 0.48/1.20 usefactor = 1
% 0.48/1.20 usesimpsplitting = 0
% 0.48/1.20 usesimpdemod = 0
% 0.48/1.20 usesimpres = 3
% 0.48/1.20
% 0.48/1.20 resimpinuse = 1000
% 0.48/1.20 resimpclauses = 20000
% 0.48/1.20 substype = standard
% 0.48/1.20 backwardsubs = 1
% 0.48/1.20 selectoldest = 5
% 0.48/1.20
% 0.48/1.20 litorderings [0] = split
% 0.48/1.20 litorderings [1] = liftord
% 0.48/1.20
% 0.48/1.20 termordering = none
% 0.48/1.20
% 0.48/1.20 litapriori = 1
% 0.48/1.20 termapriori = 0
% 0.48/1.20 litaposteriori = 0
% 0.48/1.20 termaposteriori = 0
% 0.48/1.20 demodaposteriori = 0
% 0.48/1.20 ordereqreflfact = 0
% 0.48/1.20
% 0.48/1.20 litselect = none
% 0.48/1.20
% 0.48/1.20 maxweight = 15
% 0.48/1.20 maxdepth = 30000
% 0.48/1.20 maxlength = 115
% 0.48/1.20 maxnrvars = 195
% 0.48/1.20 excuselevel = 1
% 0.48/1.20 increasemaxweight = 1
% 0.48/1.20
% 0.48/1.20 maxselected = 10000000
% 0.48/1.20 maxnrclauses = 10000000
% 0.48/1.20
% 0.48/1.20 showgenerated = 0
% 0.48/1.20 showkept = 0
% 0.48/1.20 showselected = 0
% 0.48/1.20 showdeleted = 0
% 0.48/1.20 showresimp = 1
% 0.48/1.20 showstatus = 2000
% 0.48/1.20
% 0.48/1.20 prologoutput = 0
% 0.48/1.20 nrgoals = 5000000
% 0.48/1.20 totalproof = 1
% 0.48/1.20
% 0.48/1.20 Symbols occurring in the translation:
% 0.48/1.20
% 0.48/1.20 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.48/1.20 . [1, 2] (w:1, o:27, a:1, s:1, b:0),
% 0.48/1.20 ! [4, 1] (w:0, o:10, a:1, s:1, b:0),
% 0.48/1.20 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.48/1.20 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.48/1.20 r1 [36, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.48/1.20 p2 [39, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.48/1.20 p102 [40, 1] (w:1, o:17, a:1, s:1, b:0),
% 0.48/1.20 p101 [41, 1] (w:1, o:16, a:1, s:1, b:0),
% 0.48/1.20 p100 [42, 1] (w:1, o:15, a:1, s:1, b:0),
% 0.48/1.20 p1 [43, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.48/1.20 alpha1 [44, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.48/1.20 alpha2 [45, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.48/1.20 alpha3 [46, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.48/1.20 alpha4 [47, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.48/1.20 alpha5 [48, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.48/1.20 alpha6 [49, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.48/1.20 alpha7 [50, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.48/1.20 skol1 [51, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.48/1.20 skol2 [52, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.48/1.20 skol3 [53, 1] (w:1, o:26, a:1, s:1, b:0).
% 0.48/1.20
% 0.48/1.20
% 0.48/1.20 Starting Search:
% 0.48/1.20
% 0.48/1.20
% 0.48/1.20 Bliksems!, er is een bewijs:
% 0.48/1.20 % SZS status Theorem
% 0.48/1.20 % SZS output start Refutation
% 0.48/1.20
% 0.48/1.20 (0) {G0,W3,D2,L1,V1,M1} I { r1( X, X ) }.
% 0.48/1.20 (2) {G0,W5,D2,L2,V1,M1} I { p2( X ), ! r1( skol1, X ) }.
% 0.48/1.20 (3) {G0,W5,D2,L2,V1,M1} I { alpha1( X ), ! r1( skol1, X ) }.
% 0.48/1.20 (9) {G0,W2,D2,L1,V0,M1} I { ! p101( skol1 ) }.
% 0.48/1.20 (10) {G0,W2,D2,L1,V0,M1} I { p100( skol1 ) }.
% 0.48/1.20 (11) {G0,W6,D2,L3,V1,M1} I { ! alpha1( X ), ! p100( X ), alpha2( X ) }.
% 0.48/1.20 (14) {G0,W6,D2,L3,V1,M1} I { ! alpha2( X ), p101( X ), alpha3( X ) }.
% 0.48/1.20 (17) {G0,W4,D2,L2,V1,M1} I { ! alpha3( X ), alpha4( X ) }.
% 0.48/1.20 (28) {G0,W6,D3,L2,V1,M1} I { ! alpha4( X ), alpha6( X, skol3( X ) ) }.
% 0.48/1.20 (30) {G0,W6,D2,L2,V2,M1} I { r1( X, Y ), ! alpha6( X, Y ) }.
% 0.48/1.20 (31) {G0,W5,D2,L2,V2,M1} I { ! p2( Y ), ! alpha6( X, Y ) }.
% 0.48/1.20 (39) {G1,W2,D2,L1,V0,M1} R(3,0) { alpha1( skol1 ) }.
% 0.48/1.20 (54) {G1,W6,D3,L2,V1,M1} R(28,30) { ! alpha4( X ), r1( X, skol3( X ) ) }.
% 0.48/1.20 (55) {G1,W5,D3,L2,V1,M1} R(28,31) { ! p2( skol3( X ) ), ! alpha4( X ) }.
% 0.48/1.20 (68) {G2,W2,D2,L1,V0,M1} R(54,2);r(55) { ! alpha4( skol1 ) }.
% 0.48/1.20 (71) {G3,W2,D2,L1,V0,M1} R(68,17) { ! alpha3( skol1 ) }.
% 0.48/1.20 (72) {G4,W2,D2,L1,V0,M1} R(71,14);r(9) { ! alpha2( skol1 ) }.
% 0.48/1.20 (73) {G5,W2,D2,L1,V0,M1} R(72,11);r(39) { ! p100( skol1 ) }.
% 0.48/1.20 (77) {G6,W0,D0,L0,V0,M0} S(73);r(10) { }.
% 0.48/1.20
% 0.48/1.20
% 0.48/1.20 % SZS output end Refutation
% 0.48/1.20 found a proof!
% 0.48/1.20
% 0.48/1.20
% 0.48/1.20 Unprocessed initial clauses:
% 0.48/1.20
% 0.48/1.20 (79) {G0,W3,D2,L1,V1,M1} { r1( X, X ) }.
% 0.48/1.20 (80) {G0,W9,D2,L3,V3,M3} { ! r1( X, Z ), ! r1( Z, Y ), r1( X, Y ) }.
% 0.48/1.20 (81) {G0,W5,D2,L2,V1,M2} { ! r1( skol1, X ), p2( X ) }.
% 0.48/1.20 (82) {G0,W5,D2,L2,V1,M2} { ! r1( skol1, X ), alpha1( X ) }.
% 0.48/1.20 (83) {G0,W14,D2,L6,V2,M6} { ! r1( skol1, X ), ! r1( X, Y ), ! p2( Y ), !
% 0.48/1.20 p101( Y ), p2( X ), ! p101( X ) }.
% 0.48/1.20 (84) {G0,W14,D2,L6,V2,M6} { ! r1( skol1, X ), ! r1( X, Y ), p2( Y ), !
% 0.48/1.20 p101( Y ), ! p2( X ), ! p101( X ) }.
% 0.48/1.20 (85) {G0,W14,D2,L6,V2,M6} { ! r1( skol1, X ), ! r1( X, Y ), ! p1( Y ), !
% 0.48/1.20 p100( Y ), p1( X ), ! p100( X ) }.
% 0.48/1.20 (86) {G0,W14,D2,L6,V2,M6} { ! r1( skol1, X ), ! r1( X, Y ), p1( Y ), !
% 0.48/1.20 p100( Y ), ! p1( X ), ! p100( X ) }.
% 0.48/1.20 (87) {G0,W7,D2,L3,V1,M3} { ! r1( skol1, X ), p101( X ), ! p102( X ) }.
% 0.48/1.20 (88) {G0,W7,D2,L3,V1,M3} { ! r1( skol1, X ), p100( X ), ! p101( X ) }.
% 0.48/1.20 (89) {G0,W2,D2,L1,V0,M1} { ! p101( skol1 ) }.
% 0.48/1.20 (90) {G0,W2,D2,L1,V0,M1} { p100( skol1 ) }.
% 0.48/1.20 (91) {G0,W6,D2,L3,V1,M3} { ! alpha1( X ), alpha2( X ), ! p100( X ) }.
% 0.48/1.20 (92) {G0,W4,D2,L2,V1,M2} { ! alpha2( X ), alpha1( X ) }.
% 0.48/1.20 (93) {G0,W4,D2,L2,V1,M2} { p100( X ), alpha1( X ) }.
% 0.48/1.20 (94) {G0,W6,D2,L3,V1,M3} { ! alpha2( X ), alpha3( X ), p101( X ) }.
% 0.48/1.20 (95) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), alpha2( X ) }.
% 0.48/1.20 (96) {G0,W4,D2,L2,V1,M2} { ! p101( X ), alpha2( X ) }.
% 0.48/1.20 (97) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), alpha4( X ) }.
% 0.48/1.20 (98) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), alpha5( X ) }.
% 0.48/1.20 (99) {G0,W6,D2,L3,V1,M3} { ! alpha4( X ), ! alpha5( X ), alpha3( X ) }.
% 0.48/1.20 (100) {G0,W5,D3,L2,V2,M2} { ! alpha5( X ), p101( skol2( Y ) ) }.
% 0.48/1.20 (101) {G0,W6,D3,L2,V1,M2} { ! alpha5( X ), alpha7( X, skol2( X ) ) }.
% 0.48/1.20 (102) {G0,W7,D2,L3,V2,M3} { ! alpha7( X, Y ), ! p101( Y ), alpha5( X ) }.
% 0.48/1.20 (103) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), r1( X, Y ) }.
% 0.48/1.20 (104) {G0,W5,D2,L2,V2,M2} { ! alpha7( X, Y ), p2( Y ) }.
% 0.48/1.20 (105) {G0,W5,D2,L2,V2,M2} { ! alpha7( X, Y ), ! p102( Y ) }.
% 0.48/1.20 (106) {G0,W10,D2,L4,V2,M4} { ! r1( X, Y ), ! p2( Y ), p102( Y ), alpha7( X
% 0.48/1.20 , Y ) }.
% 0.48/1.20 (107) {G0,W5,D3,L2,V2,M2} { ! alpha4( X ), p101( skol3( Y ) ) }.
% 0.48/1.20 (108) {G0,W6,D3,L2,V1,M2} { ! alpha4( X ), alpha6( X, skol3( X ) ) }.
% 0.48/1.20 (109) {G0,W7,D2,L3,V2,M3} { ! alpha6( X, Y ), ! p101( Y ), alpha4( X ) }.
% 0.48/1.20 (110) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), r1( X, Y ) }.
% 0.48/1.20 (111) {G0,W5,D2,L2,V2,M2} { ! alpha6( X, Y ), ! p2( Y ) }.
% 0.48/1.20 (112) {G0,W5,D2,L2,V2,M2} { ! alpha6( X, Y ), ! p102( Y ) }.
% 0.48/1.20 (113) {G0,W10,D2,L4,V2,M4} { ! r1( X, Y ), p2( Y ), p102( Y ), alpha6( X,
% 0.48/1.20 Y ) }.
% 0.48/1.20
% 0.48/1.20
% 0.48/1.20 Total Proof:
% 0.48/1.20
% 0.48/1.20 subsumption: (0) {G0,W3,D2,L1,V1,M1} I { r1( X, X ) }.
% 0.48/1.20 parent0: (79) {G0,W3,D2,L1,V1,M1} { r1( X, X ) }.
% 0.48/1.20 substitution0:
% 0.48/1.20 X := X
% 0.48/1.20 end
% 0.48/1.20 permutation0:
% 0.48/1.20 0 ==> 0
% 0.48/1.20 end
% 0.48/1.20
% 0.48/1.20 subsumption: (2) {G0,W5,D2,L2,V1,M1} I { p2( X ), ! r1( skol1, X ) }.
% 0.48/1.20 parent0: (81) {G0,W5,D2,L2,V1,M2} { ! r1( skol1, X ), p2( X ) }.
% 0.48/1.20 substitution0:
% 0.48/1.20 X := X
% 0.48/1.20 end
% 0.48/1.20 permutation0:
% 0.48/1.20 0 ==> 1
% 0.48/1.20 1 ==> 0
% 0.48/1.20 end
% 0.48/1.20
% 0.48/1.20 subsumption: (3) {G0,W5,D2,L2,V1,M1} I { alpha1( X ), ! r1( skol1, X ) }.
% 0.48/1.20 parent0: (82) {G0,W5,D2,L2,V1,M2} { ! r1( skol1, X ), alpha1( X ) }.
% 0.48/1.20 substitution0:
% 0.48/1.20 X := X
% 0.48/1.20 end
% 0.48/1.20 permutation0:
% 0.48/1.20 0 ==> 1
% 0.48/1.20 1 ==> 0
% 0.48/1.20 end
% 0.48/1.20
% 0.48/1.20 subsumption: (9) {G0,W2,D2,L1,V0,M1} I { ! p101( skol1 ) }.
% 0.48/1.20 parent0: (89) {G0,W2,D2,L1,V0,M1} { ! p101( skol1 ) }.
% 0.48/1.20 substitution0:
% 0.48/1.20 end
% 0.48/1.20 permutation0:
% 0.48/1.20 0 ==> 0
% 0.48/1.20 end
% 0.48/1.20
% 0.48/1.20 subsumption: (10) {G0,W2,D2,L1,V0,M1} I { p100( skol1 ) }.
% 0.48/1.20 parent0: (90) {G0,W2,D2,L1,V0,M1} { p100( skol1 ) }.
% 0.48/1.20 substitution0:
% 0.48/1.20 end
% 0.48/1.20 permutation0:
% 0.48/1.20 0 ==> 0
% 0.48/1.20 end
% 0.48/1.20
% 0.48/1.20 subsumption: (11) {G0,W6,D2,L3,V1,M1} I { ! alpha1( X ), ! p100( X ),
% 0.48/1.20 alpha2( X ) }.
% 0.48/1.20 parent0: (91) {G0,W6,D2,L3,V1,M3} { ! alpha1( X ), alpha2( X ), ! p100( X
% 0.48/1.20 ) }.
% 0.48/1.20 substitution0:
% 0.48/1.20 X := X
% 0.48/1.20 end
% 0.48/1.20 permutation0:
% 0.48/1.20 0 ==> 0
% 0.48/1.20 1 ==> 2
% 0.48/1.20 2 ==> 1
% 0.48/1.20 end
% 0.48/1.20
% 0.48/1.20 subsumption: (14) {G0,W6,D2,L3,V1,M1} I { ! alpha2( X ), p101( X ), alpha3
% 0.48/1.20 ( X ) }.
% 0.48/1.20 parent0: (94) {G0,W6,D2,L3,V1,M3} { ! alpha2( X ), alpha3( X ), p101( X )
% 0.48/1.20 }.
% 0.48/1.20 substitution0:
% 0.48/1.20 X := X
% 0.48/1.20 end
% 0.48/1.20 permutation0:
% 0.48/1.20 0 ==> 0
% 0.48/1.20 1 ==> 2
% 0.48/1.20 2 ==> 1
% 0.48/1.20 end
% 0.48/1.20
% 0.48/1.20 subsumption: (17) {G0,W4,D2,L2,V1,M1} I { ! alpha3( X ), alpha4( X ) }.
% 0.48/1.20 parent0: (97) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), alpha4( X ) }.
% 0.48/1.20 substitution0:
% 0.48/1.20 X := X
% 0.48/1.20 end
% 0.48/1.20 permutation0:
% 0.48/1.20 0 ==> 0
% 0.48/1.20 1 ==> 1
% 0.48/1.20 end
% 0.48/1.20
% 0.48/1.20 subsumption: (28) {G0,W6,D3,L2,V1,M1} I { ! alpha4( X ), alpha6( X, skol3(
% 0.48/1.20 X ) ) }.
% 0.48/1.20 parent0: (108) {G0,W6,D3,L2,V1,M2} { ! alpha4( X ), alpha6( X, skol3( X )
% 0.48/1.20 ) }.
% 0.48/1.20 substitution0:
% 0.48/1.20 X := X
% 0.48/1.20 end
% 0.48/1.20 permutation0:
% 0.48/1.20 0 ==> 0
% 0.48/1.20 1 ==> 1
% 0.48/1.20 end
% 0.48/1.20
% 0.48/1.20 subsumption: (30) {G0,W6,D2,L2,V2,M1} I { r1( X, Y ), ! alpha6( X, Y ) }.
% 0.48/1.20 parent0: (110) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), r1( X, Y ) }.
% 0.48/1.20 substitution0:
% 0.48/1.20 X := X
% 0.48/1.20 Y := Y
% 0.48/1.20 end
% 0.48/1.20 permutation0:
% 0.48/1.20 0 ==> 1
% 0.48/1.20 1 ==> 0
% 0.48/1.20 end
% 0.48/1.20
% 0.48/1.20 subsumption: (31) {G0,W5,D2,L2,V2,M1} I { ! p2( Y ), ! alpha6( X, Y ) }.
% 0.48/1.20 parent0: (111) {G0,W5,D2,L2,V2,M2} { ! alpha6( X, Y ), ! p2( Y ) }.
% 0.48/1.20 substitution0:
% 0.48/1.20 X := X
% 0.48/1.20 Y := Y
% 0.48/1.20 end
% 0.48/1.20 permutation0:
% 0.48/1.20 0 ==> 1
% 0.48/1.20 1 ==> 0
% 0.48/1.20 end
% 0.48/1.20
% 0.48/1.20 resolution: (220) {G1,W2,D2,L1,V0,M1} { alpha1( skol1 ) }.
% 0.48/1.20 parent0[1]: (3) {G0,W5,D2,L2,V1,M1} I { alpha1( X ), ! r1( skol1, X ) }.
% 0.48/1.20 parent1[0]: (0) {G0,W3,D2,L1,V1,M1} I { r1( X, X ) }.
% 0.48/1.20 substitution0:
% 0.48/1.20 X := skol1
% 0.48/1.20 end
% 0.48/1.20 substitution1:
% 0.48/1.20 X := skol1
% 0.48/1.20 end
% 0.48/1.20
% 0.48/1.20 subsumption: (39) {G1,W2,D2,L1,V0,M1} R(3,0) { alpha1( skol1 ) }.
% 0.48/1.20 parent0: (220) {G1,W2,D2,L1,V0,M1} { alpha1( skol1 ) }.
% 0.48/1.20 substitution0:
% 0.48/1.20 end
% 0.48/1.20 permutation0:
% 0.48/1.20 0 ==> 0
% 0.48/1.20 end
% 0.48/1.20
% 0.48/1.20 resolution: (221) {G1,W6,D3,L2,V1,M2} { r1( X, skol3( X ) ), ! alpha4( X )
% 0.48/1.20 }.
% 0.48/1.20 parent0[1]: (30) {G0,W6,D2,L2,V2,M1} I { r1( X, Y ), ! alpha6( X, Y ) }.
% 0.48/1.20 parent1[1]: (28) {G0,W6,D3,L2,V1,M1} I { ! alpha4( X ), alpha6( X, skol3( X
% 0.48/1.20 ) ) }.
% 0.48/1.20 substitution0:
% 0.48/1.20 X := X
% 0.48/1.20 Y := skol3( X )
% 0.48/1.20 end
% 0.48/1.20 substitution1:
% 0.48/1.20 X := X
% 0.48/1.20 end
% 0.48/1.20
% 0.48/1.20 subsumption: (54) {G1,W6,D3,L2,V1,M1} R(28,30) { ! alpha4( X ), r1( X,
% 0.48/1.20 skol3( X ) ) }.
% 0.48/1.20 parent0: (221) {G1,W6,D3,L2,V1,M2} { r1( X, skol3( X ) ), ! alpha4( X )
% 0.48/1.20 }.
% 0.48/1.20 substitution0:
% 0.48/1.20 X := X
% 0.48/1.20 end
% 0.48/1.20 permutation0:
% 0.48/1.20 0 ==> 1
% 0.48/1.20 1 ==> 0
% 0.48/1.20 end
% 0.48/1.20
% 0.48/1.20 resolution: (222) {G1,W5,D3,L2,V1,M2} { ! p2( skol3( X ) ), ! alpha4( X )
% 0.48/1.20 }.
% 0.48/1.20 parent0[1]: (31) {G0,W5,D2,L2,V2,M1} I { ! p2( Y ), ! alpha6( X, Y ) }.
% 0.48/1.20 parent1[1]: (28) {G0,W6,D3,L2,V1,M1} I { ! alpha4( X ), alpha6( X, skol3( X
% 0.48/1.20 ) ) }.
% 0.48/1.20 substitution0:
% 0.48/1.20 X := X
% 0.48/1.20 Y := skol3( X )
% 0.48/1.20 end
% 0.48/1.20 substitution1:
% 0.48/1.20 X := X
% 0.48/1.20 end
% 0.48/1.20
% 0.48/1.20 subsumption: (55) {G1,W5,D3,L2,V1,M1} R(28,31) { ! p2( skol3( X ) ), !
% 0.48/1.20 alpha4( X ) }.
% 0.48/1.20 parent0: (222) {G1,W5,D3,L2,V1,M2} { ! p2( skol3( X ) ), ! alpha4( X ) }.
% 0.48/1.20 substitution0:
% 0.48/1.20 X := X
% 0.48/1.20 end
% 0.48/1.20 permutation0:
% 0.48/1.20 0 ==> 0
% 0.48/1.20 1 ==> 1
% 0.48/1.20 end
% 0.48/1.20
% 0.48/1.20 resolution: (223) {G1,W5,D3,L2,V0,M2} { p2( skol3( skol1 ) ), ! alpha4(
% 0.48/1.20 skol1 ) }.
% 0.48/1.20 parent0[1]: (2) {G0,W5,D2,L2,V1,M1} I { p2( X ), ! r1( skol1, X ) }.
% 0.48/1.20 parent1[1]: (54) {G1,W6,D3,L2,V1,M1} R(28,30) { ! alpha4( X ), r1( X, skol3
% 0.48/1.20 ( X ) ) }.
% 0.48/1.20 substitution0:
% 0.48/1.20 X := skol3( skol1 )
% 0.48/1.20 end
% 0.48/1.20 substitution1:
% 0.48/1.20 X := skol1
% 0.48/1.20 end
% 0.48/1.20
% 0.48/1.20 resolution: (224) {G2,W4,D2,L2,V0,M2} { ! alpha4( skol1 ), ! alpha4( skol1
% 0.48/1.20 ) }.
% 0.48/1.20 parent0[0]: (55) {G1,W5,D3,L2,V1,M1} R(28,31) { ! p2( skol3( X ) ), !
% 0.48/1.20 alpha4( X ) }.
% 0.48/1.20 parent1[0]: (223) {G1,W5,D3,L2,V0,M2} { p2( skol3( skol1 ) ), ! alpha4(
% 0.48/1.20 skol1 ) }.
% 0.48/1.20 substitution0:
% 0.48/1.20 X := skol1
% 0.48/1.20 end
% 0.48/1.20 substitution1:
% 0.48/1.20 end
% 0.48/1.20
% 0.48/1.20 factor: (225) {G2,W2,D2,L1,V0,M1} { ! alpha4( skol1 ) }.
% 0.48/1.20 parent0[0, 1]: (224) {G2,W4,D2,L2,V0,M2} { ! alpha4( skol1 ), ! alpha4(
% 0.48/1.20 skol1 ) }.
% 0.48/1.20 substitution0:
% 0.48/1.20 end
% 0.48/1.20
% 0.48/1.20 subsumption: (68) {G2,W2,D2,L1,V0,M1} R(54,2);r(55) { ! alpha4( skol1 ) }.
% 0.48/1.20 parent0: (225) {G2,W2,D2,L1,V0,M1} { ! alpha4( skol1 ) }.
% 0.48/1.20 substitution0:
% 0.48/1.20 end
% 0.48/1.20 permutation0:
% 0.48/1.20 0 ==> 0
% 0.48/1.20 end
% 0.48/1.20
% 0.48/1.20 resolution: (226) {G1,W2,D2,L1,V0,M1} { ! alpha3( skol1 ) }.
% 0.48/1.20 parent0[0]: (68) {G2,W2,D2,L1,V0,M1} R(54,2);r(55) { ! alpha4( skol1 ) }.
% 0.48/1.20 parent1[1]: (17) {G0,W4,D2,L2,V1,M1} I { ! alpha3( X ), alpha4( X ) }.
% 0.48/1.20 substitution0:
% 0.48/1.20 end
% 0.48/1.20 substitution1:
% 0.48/1.20 X := skol1
% 0.48/1.20 end
% 0.48/1.20
% 0.48/1.20 subsumption: (71) {G3,W2,D2,L1,V0,M1} R(68,17) { ! alpha3( skol1 ) }.
% 0.48/1.20 parent0: (226) {G1,W2,D2,L1,V0,M1} { ! alpha3( skol1 ) }.
% 0.48/1.20 substitution0:
% 0.48/1.20 end
% 0.48/1.20 permutation0:
% 0.48/1.20 0 ==> 0
% 0.48/1.20 end
% 0.48/1.20
% 0.48/1.20 resolution: (227) {G1,W4,D2,L2,V0,M2} { ! alpha2( skol1 ), p101( skol1 )
% 0.48/1.20 }.
% 0.48/1.20 parent0[0]: (71) {G3,W2,D2,L1,V0,M1} R(68,17) { ! alpha3( skol1 ) }.
% 0.48/1.20 parent1[2]: (14) {G0,W6,D2,L3,V1,M1} I { ! alpha2( X ), p101( X ), alpha3(
% 0.48/1.20 X ) }.
% 0.48/1.20 substitution0:
% 0.48/1.20 end
% 0.48/1.20 substitution1:
% 0.48/1.20 X := skol1
% 0.48/1.20 end
% 0.48/1.20
% 0.48/1.20 resolution: (228) {G1,W2,D2,L1,V0,M1} { ! alpha2( skol1 ) }.
% 0.48/1.20 parent0[0]: (9) {G0,W2,D2,L1,V0,M1} I { ! p101( skol1 ) }.
% 0.48/1.20 parent1[1]: (227) {G1,W4,D2,L2,V0,M2} { ! alpha2( skol1 ), p101( skol1 )
% 0.48/1.20 }.
% 0.48/1.20 substitution0:
% 0.48/1.20 end
% 0.48/1.20 substitution1:
% 0.48/1.20 end
% 0.48/1.20
% 0.48/1.20 subsumption: (72) {G4,W2,D2,L1,V0,M1} R(71,14);r(9) { ! alpha2( skol1 ) }.
% 0.48/1.20 parent0: (228) {G1,W2,D2,L1,V0,M1} { ! alpha2( skol1 ) }.
% 0.48/1.20 substitution0:
% 0.48/1.20 end
% 0.48/1.20 permutation0:
% 0.48/1.20 0 ==> 0
% 0.48/1.20 end
% 0.48/1.20
% 0.48/1.20 resolution: (229) {G1,W4,D2,L2,V0,M2} { ! alpha1( skol1 ), ! p100( skol1 )
% 0.48/1.20 }.
% 0.48/1.20 parent0[0]: (72) {G4,W2,D2,L1,V0,M1} R(71,14);r(9) { ! alpha2( skol1 ) }.
% 0.48/1.20 parent1[2]: (11) {G0,W6,D2,L3,V1,M1} I { ! alpha1( X ), ! p100( X ), alpha2
% 0.48/1.20 ( X ) }.
% 0.48/1.20 substitution0:
% 0.48/1.20 end
% 0.48/1.20 substitution1:
% 0.48/1.20 X := skol1
% 0.48/1.20 end
% 0.48/1.20
% 0.48/1.20 resolution: (230) {G2,W2,D2,L1,V0,M1} { ! p100( skol1 ) }.
% 0.48/1.20 parent0[0]: (229) {G1,W4,D2,L2,V0,M2} { ! alpha1( skol1 ), ! p100( skol1 )
% 0.48/1.20 }.
% 0.48/1.20 parent1[0]: (39) {G1,W2,D2,L1,V0,M1} R(3,0) { alpha1( skol1 ) }.
% 0.48/1.20 substitution0:
% 0.48/1.20 end
% 0.48/1.20 substitution1:
% 0.48/1.20 end
% 0.48/1.20
% 0.48/1.20 subsumption: (73) {G5,W2,D2,L1,V0,M1} R(72,11);r(39) { ! p100( skol1 ) }.
% 0.48/1.20 parent0: (230) {G2,W2,D2,L1,V0,M1} { ! p100( skol1 ) }.
% 0.48/1.20 substitution0:
% 0.48/1.20 end
% 0.48/1.20 permutation0:
% 0.48/1.20 0 ==> 0
% 0.48/1.20 end
% 0.48/1.20
% 0.48/1.20 resolution: (231) {G1,W0,D0,L0,V0,M0} { }.
% 0.48/1.20 parent0[0]: (73) {G5,W2,D2,L1,V0,M1} R(72,11);r(39) { ! p100( skol1 ) }.
% 0.48/1.20 parent1[0]: (10) {G0,W2,D2,L1,V0,M1} I { p100( skol1 ) }.
% 0.48/1.20 substitution0:
% 0.48/1.20 end
% 0.48/1.20 substitution1:
% 0.48/1.20 end
% 0.48/1.20
% 0.48/1.20 subsumption: (77) {G6,W0,D0,L0,V0,M0} S(73);r(10) { }.
% 0.48/1.20 parent0: (231) {G1,W0,D0,L0,V0,M0} { }.
% 0.48/1.20 substitution0:
% 0.48/1.20 end
% 0.48/1.20 permutation0:
% 0.48/1.20 end
% 0.48/1.20
% 0.48/1.20 Proof check complete!
% 0.48/1.20
% 0.48/1.20 Memory use:
% 0.48/1.20
% 0.48/1.20 space for terms: 1288
% 0.48/1.20 space for clauses: 3692
% 0.48/1.20
% 0.48/1.20
% 0.48/1.20 clauses generated: 126
% 0.48/1.20 clauses kept: 78
% 0.48/1.20 clauses selected: 45
% 0.48/1.20 clauses deleted: 2
% 0.48/1.20 clauses inuse deleted: 0
% 0.48/1.20
% 0.48/1.20 subsentry: 177
% 0.48/1.20 literals s-matched: 87
% 0.48/1.20 literals matched: 87
% 0.48/1.20 full subsumption: 33
% 0.48/1.20
% 0.48/1.20 checksum: 1575349590
% 0.48/1.20
% 0.48/1.20
% 0.48/1.20 Bliksem ended
%------------------------------------------------------------------------------