TSTP Solution File: LCL636+1.001 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL636+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.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 07:55:04 EDT 2022
% Result : Theorem 0.72s 1.08s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL636+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Mon Jul 4 23:58:17 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.72/1.08 *** allocated 10000 integers for termspace/termends
% 0.72/1.08 *** allocated 10000 integers for clauses
% 0.72/1.08 *** allocated 10000 integers for justifications
% 0.72/1.08 Bliksem 1.12
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Automatic Strategy Selection
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Clauses:
% 0.72/1.08
% 0.72/1.08 { ! r1( skol1, X ), p2( X ) }.
% 0.72/1.08 { ! r1( skol1, X ), alpha1( X ) }.
% 0.72/1.08 { ! r1( skol1, X ), ! r1( X, Y ), ! p2( Y ), ! p101( Y ), p2( X ), ! p101(
% 0.72/1.08 X ) }.
% 0.72/1.08 { ! r1( skol1, X ), ! r1( X, Y ), p2( Y ), ! p101( Y ), ! p2( X ), ! p101(
% 0.72/1.08 X ) }.
% 0.72/1.08 { ! r1( skol1, X ), ! r1( X, Y ), ! p1( Y ), ! p100( Y ), p1( X ), ! p100(
% 0.72/1.08 X ) }.
% 0.72/1.08 { ! r1( skol1, X ), ! r1( X, Y ), p1( Y ), ! p100( Y ), ! p1( X ), ! p100(
% 0.72/1.08 X ) }.
% 0.72/1.08 { ! r1( skol1, X ), p101( X ), ! p102( X ) }.
% 0.72/1.08 { ! r1( skol1, X ), p100( X ), ! p101( X ) }.
% 0.72/1.08 { alpha2( skol1 ) }.
% 0.72/1.08 { ! r1( skol1, X ), ! p2( X ), ! p101( X ), p2( skol1 ), ! p101( skol1 ) }
% 0.72/1.08 .
% 0.72/1.08 { ! r1( skol1, X ), p2( X ), ! p101( X ), ! p2( skol1 ), ! p101( skol1 ) }
% 0.72/1.08 .
% 0.72/1.08 { ! r1( skol1, X ), ! p1( X ), ! p100( X ), p1( skol1 ), ! p100( skol1 ) }
% 0.72/1.08 .
% 0.72/1.08 { ! r1( skol1, X ), p1( X ), ! p100( X ), ! p1( skol1 ), ! p100( skol1 ) }
% 0.72/1.08 .
% 0.72/1.08 { p101( skol1 ), ! p102( skol1 ) }.
% 0.72/1.08 { p100( skol1 ), ! p101( skol1 ) }.
% 0.72/1.08 { ! p101( skol1 ) }.
% 0.72/1.08 { p100( skol1 ) }.
% 0.72/1.08 { ! alpha2( X ), alpha4( X ), ! p100( X ) }.
% 0.72/1.08 { ! alpha4( X ), alpha2( X ) }.
% 0.72/1.08 { p100( X ), alpha2( X ) }.
% 0.72/1.08 { ! alpha4( X ), alpha6( X ), p101( X ) }.
% 0.72/1.08 { ! alpha6( X ), alpha4( X ) }.
% 0.72/1.08 { ! p101( X ), alpha4( X ) }.
% 0.72/1.08 { ! alpha6( X ), alpha8( X ) }.
% 0.72/1.08 { ! alpha6( X ), alpha11( X ) }.
% 0.72/1.08 { ! alpha8( X ), ! alpha11( X ), alpha6( X ) }.
% 0.72/1.08 { ! alpha11( X ), p101( skol2( Y ) ) }.
% 0.72/1.08 { ! alpha11( X ), alpha14( X, skol2( X ) ) }.
% 0.72/1.08 { ! alpha14( X, Y ), ! p101( Y ), alpha11( X ) }.
% 0.72/1.08 { ! alpha14( X, Y ), r1( X, Y ) }.
% 0.72/1.08 { ! alpha14( X, Y ), p2( Y ) }.
% 0.72/1.08 { ! alpha14( X, Y ), ! p102( Y ) }.
% 0.72/1.08 { ! r1( X, Y ), ! p2( Y ), p102( Y ), alpha14( X, Y ) }.
% 0.72/1.08 { ! alpha8( X ), p101( skol3( Y ) ) }.
% 0.72/1.08 { ! alpha8( X ), alpha12( X, skol3( X ) ) }.
% 0.72/1.08 { ! alpha12( X, Y ), ! p101( Y ), alpha8( X ) }.
% 0.72/1.08 { ! alpha12( X, Y ), r1( X, Y ) }.
% 0.72/1.08 { ! alpha12( X, Y ), ! p2( Y ) }.
% 0.72/1.08 { ! alpha12( X, Y ), ! p102( Y ) }.
% 0.72/1.08 { ! r1( X, Y ), p2( Y ), p102( Y ), alpha12( X, Y ) }.
% 0.72/1.08 { ! alpha1( X ), alpha3( X ), ! p100( X ) }.
% 0.72/1.08 { ! alpha3( X ), alpha1( X ) }.
% 0.72/1.08 { p100( X ), alpha1( X ) }.
% 0.72/1.08 { ! alpha3( X ), alpha5( X ), p101( X ) }.
% 0.72/1.08 { ! alpha5( X ), alpha3( X ) }.
% 0.72/1.08 { ! p101( X ), alpha3( X ) }.
% 0.72/1.08 { ! alpha5( X ), alpha7( X ) }.
% 0.72/1.08 { ! alpha5( X ), alpha9( X ) }.
% 0.72/1.08 { ! alpha7( X ), ! alpha9( X ), alpha5( X ) }.
% 0.72/1.08 { ! alpha9( X ), p101( skol4( Y ) ) }.
% 0.72/1.08 { ! alpha9( X ), alpha13( X, skol4( X ) ) }.
% 0.72/1.08 { ! alpha13( X, Y ), ! p101( Y ), alpha9( X ) }.
% 0.72/1.08 { ! alpha13( X, Y ), r1( X, Y ) }.
% 0.72/1.08 { ! alpha13( X, Y ), p2( Y ) }.
% 0.72/1.08 { ! alpha13( X, Y ), ! p102( Y ) }.
% 0.72/1.08 { ! r1( X, Y ), ! p2( Y ), p102( Y ), alpha13( X, Y ) }.
% 0.72/1.08 { ! alpha7( X ), p101( skol5( Y ) ) }.
% 0.72/1.08 { ! alpha7( X ), alpha10( X, skol5( X ) ) }.
% 0.72/1.08 { ! alpha10( X, Y ), ! p101( Y ), alpha7( X ) }.
% 0.72/1.08 { ! alpha10( X, Y ), r1( X, Y ) }.
% 0.72/1.08 { ! alpha10( X, Y ), ! p2( Y ) }.
% 0.72/1.08 { ! alpha10( X, Y ), ! p102( Y ) }.
% 0.72/1.08 { ! r1( X, Y ), p2( Y ), p102( Y ), alpha10( X, Y ) }.
% 0.72/1.08
% 0.72/1.08 percentage equality = 0.000000, percentage horn = 0.868852
% 0.72/1.08 This a non-horn, non-equality problem
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Options Used:
% 0.72/1.08
% 0.72/1.08 useres = 1
% 0.72/1.08 useparamod = 0
% 0.72/1.08 useeqrefl = 0
% 0.72/1.08 useeqfact = 0
% 0.72/1.08 usefactor = 1
% 0.72/1.08 usesimpsplitting = 0
% 0.72/1.08 usesimpdemod = 0
% 0.72/1.08 usesimpres = 3
% 0.72/1.08
% 0.72/1.08 resimpinuse = 1000
% 0.72/1.08 resimpclauses = 20000
% 0.72/1.08 substype = standard
% 0.72/1.08 backwardsubs = 1
% 0.72/1.08 selectoldest = 5
% 0.72/1.08
% 0.72/1.08 litorderings [0] = split
% 0.72/1.08 litorderings [1] = liftord
% 0.72/1.08
% 0.72/1.08 termordering = none
% 0.72/1.08
% 0.72/1.08 litapriori = 1
% 0.72/1.08 termapriori = 0
% 0.72/1.08 litaposteriori = 0
% 0.72/1.08 termaposteriori = 0
% 0.72/1.08 demodaposteriori = 0
% 0.72/1.08 ordereqreflfact = 0
% 0.72/1.08
% 0.72/1.08 litselect = none
% 0.72/1.08
% 0.72/1.08 maxweight = 15
% 0.72/1.08 maxdepth = 30000
% 0.72/1.08 maxlength = 115
% 0.72/1.08 maxnrvars = 195
% 0.72/1.08 excuselevel = 1
% 0.72/1.08 increasemaxweight = 1
% 0.72/1.08
% 0.72/1.08 maxselected = 10000000
% 0.72/1.08 maxnrclauses = 10000000
% 0.72/1.08
% 0.72/1.08 showgenerated = 0
% 0.72/1.08 showkept = 0
% 0.72/1.08 showselected = 0
% 0.72/1.08 showdeleted = 0
% 0.72/1.08 showresimp = 1
% 0.72/1.08 showstatus = 2000
% 0.72/1.08
% 0.72/1.08 prologoutput = 0
% 0.72/1.08 nrgoals = 5000000
% 0.72/1.08 totalproof = 1
% 0.72/1.08
% 0.72/1.08 Symbols occurring in the translation:
% 0.72/1.08
% 0.72/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.08 . [1, 2] (w:1, o:33, a:1, s:1, b:0),
% 0.72/1.08 ! [4, 1] (w:0, o:9, a:1, s:1, b:0),
% 0.72/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.08 r1 [37, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.72/1.08 p2 [38, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.72/1.08 p102 [39, 1] (w:1, o:16, a:1, s:1, b:0),
% 0.72/1.08 p101 [40, 1] (w:1, o:15, a:1, s:1, b:0),
% 0.72/1.08 p100 [41, 1] (w:1, o:14, a:1, s:1, b:0),
% 0.72/1.08 p1 [42, 1] (w:1, o:17, a:1, s:1, b:0),
% 0.72/1.08 alpha1 [43, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.72/1.08 alpha2 [44, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.72/1.08 alpha3 [45, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.72/1.08 alpha4 [46, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.72/1.08 alpha5 [47, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.72/1.08 alpha6 [48, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.72/1.08 alpha7 [49, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.72/1.08 alpha8 [50, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.72/1.08 alpha9 [51, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.72/1.08 alpha10 [52, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.72/1.08 alpha11 [53, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.72/1.08 alpha12 [54, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.72/1.08 alpha13 [55, 2] (w:1, o:60, a:1, s:1, b:0),
% 0.72/1.08 alpha14 [56, 2] (w:1, o:61, a:1, s:1, b:0),
% 0.72/1.08 skol1 [57, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.72/1.08 skol2 [58, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.72/1.08 skol3 [59, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.72/1.08 skol4 [60, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.72/1.08 skol5 [61, 1] (w:1, o:32, a:1, s:1, b:0).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Starting Search:
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Bliksems!, er is een bewijs:
% 0.72/1.08 % SZS status Theorem
% 0.72/1.08 % SZS output start Refutation
% 0.72/1.08
% 0.72/1.08 (0) {G0,W5,D2,L2,V1,M1} I { p2( X ), ! r1( skol1, X ) }.
% 0.72/1.08 (7) {G0,W2,D2,L1,V0,M1} I { alpha2( skol1 ) }.
% 0.72/1.08 (13) {G0,W2,D2,L1,V0,M1} I { ! p101( skol1 ) }.
% 0.72/1.08 (14) {G0,W2,D2,L1,V0,M1} I { p100( skol1 ) }.
% 0.72/1.08 (15) {G0,W6,D2,L3,V1,M1} I { ! alpha2( X ), ! p100( X ), alpha4( X ) }.
% 0.72/1.08 (18) {G0,W6,D2,L3,V1,M1} I { ! alpha4( X ), p101( X ), alpha6( X ) }.
% 0.72/1.08 (21) {G0,W4,D2,L2,V1,M1} I { ! alpha6( X ), alpha8( X ) }.
% 0.72/1.08 (32) {G0,W6,D3,L2,V1,M1} I { ! alpha8( X ), alpha12( X, skol3( X ) ) }.
% 0.72/1.08 (34) {G0,W6,D2,L2,V2,M1} I { r1( X, Y ), ! alpha12( X, Y ) }.
% 0.72/1.08 (35) {G0,W5,D2,L2,V2,M1} I { ! p2( Y ), ! alpha12( X, Y ) }.
% 0.72/1.08 (106) {G1,W6,D3,L2,V1,M1} R(32,34) { ! alpha8( X ), r1( X, skol3( X ) ) }.
% 0.72/1.08 (107) {G1,W5,D3,L2,V1,M1} R(32,35) { ! p2( skol3( X ) ), ! alpha8( X ) }.
% 0.72/1.08 (119) {G2,W2,D2,L1,V0,M1} R(106,0);r(107) { ! alpha8( skol1 ) }.
% 0.72/1.08 (120) {G3,W2,D2,L1,V0,M1} R(119,21) { ! alpha6( skol1 ) }.
% 0.72/1.08 (122) {G4,W2,D2,L1,V0,M1} R(120,18);r(13) { ! alpha4( skol1 ) }.
% 0.72/1.08 (123) {G5,W2,D2,L1,V0,M1} R(122,15);r(7) { ! p100( skol1 ) }.
% 0.72/1.08 (124) {G6,W0,D0,L0,V0,M0} S(123);r(14) { }.
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 % SZS output end Refutation
% 0.72/1.08 found a proof!
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Unprocessed initial clauses:
% 0.72/1.08
% 0.72/1.08 (126) {G0,W5,D2,L2,V1,M2} { ! r1( skol1, X ), p2( X ) }.
% 0.72/1.08 (127) {G0,W5,D2,L2,V1,M2} { ! r1( skol1, X ), alpha1( X ) }.
% 0.72/1.08 (128) {G0,W14,D2,L6,V2,M6} { ! r1( skol1, X ), ! r1( X, Y ), ! p2( Y ), !
% 0.72/1.08 p101( Y ), p2( X ), ! p101( X ) }.
% 0.72/1.08 (129) {G0,W14,D2,L6,V2,M6} { ! r1( skol1, X ), ! r1( X, Y ), p2( Y ), !
% 0.72/1.08 p101( Y ), ! p2( X ), ! p101( X ) }.
% 0.72/1.08 (130) {G0,W14,D2,L6,V2,M6} { ! r1( skol1, X ), ! r1( X, Y ), ! p1( Y ), !
% 0.72/1.08 p100( Y ), p1( X ), ! p100( X ) }.
% 0.72/1.08 (131) {G0,W14,D2,L6,V2,M6} { ! r1( skol1, X ), ! r1( X, Y ), p1( Y ), !
% 0.72/1.08 p100( Y ), ! p1( X ), ! p100( X ) }.
% 0.72/1.08 (132) {G0,W7,D2,L3,V1,M3} { ! r1( skol1, X ), p101( X ), ! p102( X ) }.
% 0.72/1.08 (133) {G0,W7,D2,L3,V1,M3} { ! r1( skol1, X ), p100( X ), ! p101( X ) }.
% 0.72/1.08 (134) {G0,W2,D2,L1,V0,M1} { alpha2( skol1 ) }.
% 0.72/1.08 (135) {G0,W11,D2,L5,V1,M5} { ! r1( skol1, X ), ! p2( X ), ! p101( X ), p2
% 0.72/1.08 ( skol1 ), ! p101( skol1 ) }.
% 0.72/1.08 (136) {G0,W11,D2,L5,V1,M5} { ! r1( skol1, X ), p2( X ), ! p101( X ), ! p2
% 0.72/1.08 ( skol1 ), ! p101( skol1 ) }.
% 0.72/1.08 (137) {G0,W11,D2,L5,V1,M5} { ! r1( skol1, X ), ! p1( X ), ! p100( X ), p1
% 0.72/1.08 ( skol1 ), ! p100( skol1 ) }.
% 0.72/1.08 (138) {G0,W11,D2,L5,V1,M5} { ! r1( skol1, X ), p1( X ), ! p100( X ), ! p1
% 0.72/1.08 ( skol1 ), ! p100( skol1 ) }.
% 0.72/1.08 (139) {G0,W4,D2,L2,V0,M2} { p101( skol1 ), ! p102( skol1 ) }.
% 0.72/1.08 (140) {G0,W4,D2,L2,V0,M2} { p100( skol1 ), ! p101( skol1 ) }.
% 0.72/1.08 (141) {G0,W2,D2,L1,V0,M1} { ! p101( skol1 ) }.
% 0.72/1.08 (142) {G0,W2,D2,L1,V0,M1} { p100( skol1 ) }.
% 0.72/1.08 (143) {G0,W6,D2,L3,V1,M3} { ! alpha2( X ), alpha4( X ), ! p100( X ) }.
% 0.72/1.08 (144) {G0,W4,D2,L2,V1,M2} { ! alpha4( X ), alpha2( X ) }.
% 0.72/1.08 (145) {G0,W4,D2,L2,V1,M2} { p100( X ), alpha2( X ) }.
% 0.72/1.08 (146) {G0,W6,D2,L3,V1,M3} { ! alpha4( X ), alpha6( X ), p101( X ) }.
% 0.72/1.08 (147) {G0,W4,D2,L2,V1,M2} { ! alpha6( X ), alpha4( X ) }.
% 0.72/1.08 (148) {G0,W4,D2,L2,V1,M2} { ! p101( X ), alpha4( X ) }.
% 0.72/1.08 (149) {G0,W4,D2,L2,V1,M2} { ! alpha6( X ), alpha8( X ) }.
% 0.72/1.08 (150) {G0,W4,D2,L2,V1,M2} { ! alpha6( X ), alpha11( X ) }.
% 0.72/1.08 (151) {G0,W6,D2,L3,V1,M3} { ! alpha8( X ), ! alpha11( X ), alpha6( X ) }.
% 0.72/1.08 (152) {G0,W5,D3,L2,V2,M2} { ! alpha11( X ), p101( skol2( Y ) ) }.
% 0.72/1.08 (153) {G0,W6,D3,L2,V1,M2} { ! alpha11( X ), alpha14( X, skol2( X ) ) }.
% 0.72/1.08 (154) {G0,W7,D2,L3,V2,M3} { ! alpha14( X, Y ), ! p101( Y ), alpha11( X )
% 0.72/1.08 }.
% 0.72/1.08 (155) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), r1( X, Y ) }.
% 0.72/1.08 (156) {G0,W5,D2,L2,V2,M2} { ! alpha14( X, Y ), p2( Y ) }.
% 0.72/1.08 (157) {G0,W5,D2,L2,V2,M2} { ! alpha14( X, Y ), ! p102( Y ) }.
% 0.72/1.08 (158) {G0,W10,D2,L4,V2,M4} { ! r1( X, Y ), ! p2( Y ), p102( Y ), alpha14(
% 0.72/1.08 X, Y ) }.
% 0.72/1.08 (159) {G0,W5,D3,L2,V2,M2} { ! alpha8( X ), p101( skol3( Y ) ) }.
% 0.72/1.08 (160) {G0,W6,D3,L2,V1,M2} { ! alpha8( X ), alpha12( X, skol3( X ) ) }.
% 0.72/1.08 (161) {G0,W7,D2,L3,V2,M3} { ! alpha12( X, Y ), ! p101( Y ), alpha8( X )
% 0.72/1.08 }.
% 0.72/1.08 (162) {G0,W6,D2,L2,V2,M2} { ! alpha12( X, Y ), r1( X, Y ) }.
% 0.72/1.08 (163) {G0,W5,D2,L2,V2,M2} { ! alpha12( X, Y ), ! p2( Y ) }.
% 0.72/1.08 (164) {G0,W5,D2,L2,V2,M2} { ! alpha12( X, Y ), ! p102( Y ) }.
% 0.72/1.08 (165) {G0,W10,D2,L4,V2,M4} { ! r1( X, Y ), p2( Y ), p102( Y ), alpha12( X
% 0.72/1.08 , Y ) }.
% 0.72/1.08 (166) {G0,W6,D2,L3,V1,M3} { ! alpha1( X ), alpha3( X ), ! p100( X ) }.
% 0.72/1.08 (167) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), alpha1( X ) }.
% 0.72/1.08 (168) {G0,W4,D2,L2,V1,M2} { p100( X ), alpha1( X ) }.
% 0.72/1.08 (169) {G0,W6,D2,L3,V1,M3} { ! alpha3( X ), alpha5( X ), p101( X ) }.
% 0.72/1.08 (170) {G0,W4,D2,L2,V1,M2} { ! alpha5( X ), alpha3( X ) }.
% 0.72/1.08 (171) {G0,W4,D2,L2,V1,M2} { ! p101( X ), alpha3( X ) }.
% 0.72/1.08 (172) {G0,W4,D2,L2,V1,M2} { ! alpha5( X ), alpha7( X ) }.
% 0.72/1.08 (173) {G0,W4,D2,L2,V1,M2} { ! alpha5( X ), alpha9( X ) }.
% 0.72/1.08 (174) {G0,W6,D2,L3,V1,M3} { ! alpha7( X ), ! alpha9( X ), alpha5( X ) }.
% 0.72/1.08 (175) {G0,W5,D3,L2,V2,M2} { ! alpha9( X ), p101( skol4( Y ) ) }.
% 0.72/1.08 (176) {G0,W6,D3,L2,V1,M2} { ! alpha9( X ), alpha13( X, skol4( X ) ) }.
% 0.72/1.08 (177) {G0,W7,D2,L3,V2,M3} { ! alpha13( X, Y ), ! p101( Y ), alpha9( X )
% 0.72/1.08 }.
% 0.72/1.08 (178) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), r1( X, Y ) }.
% 0.72/1.08 (179) {G0,W5,D2,L2,V2,M2} { ! alpha13( X, Y ), p2( Y ) }.
% 0.72/1.08 (180) {G0,W5,D2,L2,V2,M2} { ! alpha13( X, Y ), ! p102( Y ) }.
% 0.72/1.08 (181) {G0,W10,D2,L4,V2,M4} { ! r1( X, Y ), ! p2( Y ), p102( Y ), alpha13(
% 0.72/1.08 X, Y ) }.
% 0.72/1.08 (182) {G0,W5,D3,L2,V2,M2} { ! alpha7( X ), p101( skol5( Y ) ) }.
% 0.72/1.08 (183) {G0,W6,D3,L2,V1,M2} { ! alpha7( X ), alpha10( X, skol5( X ) ) }.
% 0.72/1.08 (184) {G0,W7,D2,L3,V2,M3} { ! alpha10( X, Y ), ! p101( Y ), alpha7( X )
% 0.72/1.08 }.
% 0.72/1.08 (185) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), r1( X, Y ) }.
% 0.72/1.08 (186) {G0,W5,D2,L2,V2,M2} { ! alpha10( X, Y ), ! p2( Y ) }.
% 0.72/1.08 (187) {G0,W5,D2,L2,V2,M2} { ! alpha10( X, Y ), ! p102( Y ) }.
% 0.72/1.08 (188) {G0,W10,D2,L4,V2,M4} { ! r1( X, Y ), p2( Y ), p102( Y ), alpha10( X
% 0.72/1.08 , Y ) }.
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Total Proof:
% 0.72/1.08
% 0.72/1.08 subsumption: (0) {G0,W5,D2,L2,V1,M1} I { p2( X ), ! r1( skol1, X ) }.
% 0.72/1.09 parent0: (126) {G0,W5,D2,L2,V1,M2} { ! r1( skol1, X ), p2( X ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := X
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 1
% 0.72/1.09 1 ==> 0
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (7) {G0,W2,D2,L1,V0,M1} I { alpha2( skol1 ) }.
% 0.72/1.09 parent0: (134) {G0,W2,D2,L1,V0,M1} { alpha2( skol1 ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 0
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (13) {G0,W2,D2,L1,V0,M1} I { ! p101( skol1 ) }.
% 0.72/1.09 parent0: (141) {G0,W2,D2,L1,V0,M1} { ! p101( skol1 ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 0
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (14) {G0,W2,D2,L1,V0,M1} I { p100( skol1 ) }.
% 0.72/1.09 parent0: (142) {G0,W2,D2,L1,V0,M1} { p100( skol1 ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 0
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (15) {G0,W6,D2,L3,V1,M1} I { ! alpha2( X ), ! p100( X ),
% 0.72/1.09 alpha4( X ) }.
% 0.72/1.09 parent0: (143) {G0,W6,D2,L3,V1,M3} { ! alpha2( X ), alpha4( X ), ! p100( X
% 0.72/1.09 ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := X
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 0
% 0.72/1.09 1 ==> 2
% 0.72/1.09 2 ==> 1
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (18) {G0,W6,D2,L3,V1,M1} I { ! alpha4( X ), p101( X ), alpha6
% 0.72/1.09 ( X ) }.
% 0.72/1.09 parent0: (146) {G0,W6,D2,L3,V1,M3} { ! alpha4( X ), alpha6( X ), p101( X )
% 0.72/1.09 }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := X
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 0
% 0.72/1.09 1 ==> 2
% 0.72/1.09 2 ==> 1
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (21) {G0,W4,D2,L2,V1,M1} I { ! alpha6( X ), alpha8( X ) }.
% 0.72/1.09 parent0: (149) {G0,W4,D2,L2,V1,M2} { ! alpha6( X ), alpha8( X ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := X
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 0
% 0.72/1.09 1 ==> 1
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (32) {G0,W6,D3,L2,V1,M1} I { ! alpha8( X ), alpha12( X, skol3
% 0.72/1.09 ( X ) ) }.
% 0.72/1.09 parent0: (160) {G0,W6,D3,L2,V1,M2} { ! alpha8( X ), alpha12( X, skol3( X )
% 0.72/1.09 ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := X
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 0
% 0.72/1.09 1 ==> 1
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 *** allocated 15000 integers for clauses
% 0.72/1.09 subsumption: (34) {G0,W6,D2,L2,V2,M1} I { r1( X, Y ), ! alpha12( X, Y ) }.
% 0.72/1.09 parent0: (162) {G0,W6,D2,L2,V2,M2} { ! alpha12( X, Y ), r1( X, Y ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := X
% 0.72/1.09 Y := Y
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 1
% 0.72/1.09 1 ==> 0
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (35) {G0,W5,D2,L2,V2,M1} I { ! p2( Y ), ! alpha12( X, Y ) }.
% 0.72/1.09 parent0: (163) {G0,W5,D2,L2,V2,M2} { ! alpha12( X, Y ), ! p2( Y ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := X
% 0.72/1.09 Y := Y
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 1
% 0.72/1.09 1 ==> 0
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 resolution: (329) {G1,W6,D3,L2,V1,M2} { r1( X, skol3( X ) ), ! alpha8( X )
% 0.72/1.09 }.
% 0.72/1.09 parent0[1]: (34) {G0,W6,D2,L2,V2,M1} I { r1( X, Y ), ! alpha12( X, Y ) }.
% 0.72/1.09 parent1[1]: (32) {G0,W6,D3,L2,V1,M1} I { ! alpha8( X ), alpha12( X, skol3(
% 0.72/1.09 X ) ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := X
% 0.72/1.09 Y := skol3( X )
% 0.72/1.09 end
% 0.72/1.09 substitution1:
% 0.72/1.09 X := X
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (106) {G1,W6,D3,L2,V1,M1} R(32,34) { ! alpha8( X ), r1( X,
% 0.72/1.09 skol3( X ) ) }.
% 0.72/1.09 parent0: (329) {G1,W6,D3,L2,V1,M2} { r1( X, skol3( X ) ), ! alpha8( X )
% 0.72/1.09 }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := X
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 1
% 0.72/1.09 1 ==> 0
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 resolution: (330) {G1,W5,D3,L2,V1,M2} { ! p2( skol3( X ) ), ! alpha8( X )
% 0.72/1.09 }.
% 0.72/1.09 parent0[1]: (35) {G0,W5,D2,L2,V2,M1} I { ! p2( Y ), ! alpha12( X, Y ) }.
% 0.72/1.09 parent1[1]: (32) {G0,W6,D3,L2,V1,M1} I { ! alpha8( X ), alpha12( X, skol3(
% 0.72/1.09 X ) ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := X
% 0.72/1.09 Y := skol3( X )
% 0.72/1.09 end
% 0.72/1.09 substitution1:
% 0.72/1.09 X := X
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (107) {G1,W5,D3,L2,V1,M1} R(32,35) { ! p2( skol3( X ) ), !
% 0.72/1.09 alpha8( X ) }.
% 0.72/1.09 parent0: (330) {G1,W5,D3,L2,V1,M2} { ! p2( skol3( X ) ), ! alpha8( X ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := X
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 0
% 0.72/1.09 1 ==> 1
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 resolution: (331) {G1,W5,D3,L2,V0,M2} { p2( skol3( skol1 ) ), ! alpha8(
% 0.72/1.09 skol1 ) }.
% 0.72/1.09 parent0[1]: (0) {G0,W5,D2,L2,V1,M1} I { p2( X ), ! r1( skol1, X ) }.
% 0.72/1.09 parent1[1]: (106) {G1,W6,D3,L2,V1,M1} R(32,34) { ! alpha8( X ), r1( X,
% 0.72/1.09 skol3( X ) ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := skol3( skol1 )
% 0.72/1.09 end
% 0.72/1.09 substitution1:
% 0.72/1.09 X := skol1
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 resolution: (332) {G2,W4,D2,L2,V0,M2} { ! alpha8( skol1 ), ! alpha8( skol1
% 0.72/1.09 ) }.
% 0.72/1.09 parent0[0]: (107) {G1,W5,D3,L2,V1,M1} R(32,35) { ! p2( skol3( X ) ), !
% 0.72/1.09 alpha8( X ) }.
% 0.72/1.09 parent1[0]: (331) {G1,W5,D3,L2,V0,M2} { p2( skol3( skol1 ) ), ! alpha8(
% 0.72/1.09 skol1 ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := skol1
% 0.72/1.09 end
% 0.72/1.09 substitution1:
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 factor: (333) {G2,W2,D2,L1,V0,M1} { ! alpha8( skol1 ) }.
% 0.72/1.09 parent0[0, 1]: (332) {G2,W4,D2,L2,V0,M2} { ! alpha8( skol1 ), ! alpha8(
% 0.72/1.09 skol1 ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (119) {G2,W2,D2,L1,V0,M1} R(106,0);r(107) { ! alpha8( skol1 )
% 0.72/1.09 }.
% 0.72/1.09 parent0: (333) {G2,W2,D2,L1,V0,M1} { ! alpha8( skol1 ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 0
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 resolution: (334) {G1,W2,D2,L1,V0,M1} { ! alpha6( skol1 ) }.
% 0.72/1.09 parent0[0]: (119) {G2,W2,D2,L1,V0,M1} R(106,0);r(107) { ! alpha8( skol1 )
% 0.72/1.09 }.
% 0.72/1.09 parent1[1]: (21) {G0,W4,D2,L2,V1,M1} I { ! alpha6( X ), alpha8( X ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 end
% 0.72/1.09 substitution1:
% 0.72/1.09 X := skol1
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (120) {G3,W2,D2,L1,V0,M1} R(119,21) { ! alpha6( skol1 ) }.
% 0.72/1.09 parent0: (334) {G1,W2,D2,L1,V0,M1} { ! alpha6( skol1 ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 0
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 resolution: (335) {G1,W4,D2,L2,V0,M2} { ! alpha4( skol1 ), p101( skol1 )
% 0.72/1.09 }.
% 0.72/1.09 parent0[0]: (120) {G3,W2,D2,L1,V0,M1} R(119,21) { ! alpha6( skol1 ) }.
% 0.72/1.09 parent1[2]: (18) {G0,W6,D2,L3,V1,M1} I { ! alpha4( X ), p101( X ), alpha6(
% 0.72/1.09 X ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 end
% 0.72/1.09 substitution1:
% 0.72/1.09 X := skol1
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 resolution: (336) {G1,W2,D2,L1,V0,M1} { ! alpha4( skol1 ) }.
% 0.72/1.09 parent0[0]: (13) {G0,W2,D2,L1,V0,M1} I { ! p101( skol1 ) }.
% 0.72/1.09 parent1[1]: (335) {G1,W4,D2,L2,V0,M2} { ! alpha4( skol1 ), p101( skol1 )
% 0.72/1.09 }.
% 0.72/1.09 substitution0:
% 0.72/1.09 end
% 0.72/1.09 substitution1:
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (122) {G4,W2,D2,L1,V0,M1} R(120,18);r(13) { ! alpha4( skol1 )
% 0.72/1.09 }.
% 0.72/1.09 parent0: (336) {G1,W2,D2,L1,V0,M1} { ! alpha4( skol1 ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 0
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 resolution: (337) {G1,W4,D2,L2,V0,M2} { ! alpha2( skol1 ), ! p100( skol1 )
% 0.72/1.09 }.
% 0.72/1.09 parent0[0]: (122) {G4,W2,D2,L1,V0,M1} R(120,18);r(13) { ! alpha4( skol1 )
% 0.72/1.09 }.
% 0.72/1.09 parent1[2]: (15) {G0,W6,D2,L3,V1,M1} I { ! alpha2( X ), ! p100( X ), alpha4
% 0.72/1.09 ( X ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 end
% 0.72/1.09 substitution1:
% 0.72/1.09 X := skol1
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 resolution: (338) {G1,W2,D2,L1,V0,M1} { ! p100( skol1 ) }.
% 0.72/1.09 parent0[0]: (337) {G1,W4,D2,L2,V0,M2} { ! alpha2( skol1 ), ! p100( skol1 )
% 0.72/1.09 }.
% 0.72/1.09 parent1[0]: (7) {G0,W2,D2,L1,V0,M1} I { alpha2( skol1 ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 end
% 0.72/1.09 substitution1:
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (123) {G5,W2,D2,L1,V0,M1} R(122,15);r(7) { ! p100( skol1 ) }.
% 0.72/1.09 parent0: (338) {G1,W2,D2,L1,V0,M1} { ! p100( skol1 ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 0
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 resolution: (339) {G1,W0,D0,L0,V0,M0} { }.
% 0.72/1.09 parent0[0]: (123) {G5,W2,D2,L1,V0,M1} R(122,15);r(7) { ! p100( skol1 ) }.
% 0.72/1.09 parent1[0]: (14) {G0,W2,D2,L1,V0,M1} I { p100( skol1 ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 end
% 0.72/1.09 substitution1:
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (124) {G6,W0,D0,L0,V0,M0} S(123);r(14) { }.
% 0.72/1.09 parent0: (339) {G1,W0,D0,L0,V0,M0} { }.
% 0.72/1.09 substitution0:
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 Proof check complete!
% 0.72/1.09
% 0.72/1.09 Memory use:
% 0.72/1.09
% 0.72/1.09 space for terms: 2087
% 0.72/1.09 space for clauses: 5992
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 clauses generated: 172
% 0.72/1.09 clauses kept: 125
% 0.72/1.09 clauses selected: 82
% 0.72/1.09 clauses deleted: 7
% 0.72/1.09 clauses inuse deleted: 0
% 0.72/1.09
% 0.72/1.09 subsentry: 133
% 0.72/1.09 literals s-matched: 74
% 0.72/1.09 literals matched: 74
% 0.72/1.09 full subsumption: 15
% 0.72/1.09
% 0.72/1.09 checksum: 663549690
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Bliksem ended
%------------------------------------------------------------------------------