TSTP Solution File: LCL644+1.001 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL644+1.001 : TPTP v8.1.0. Released v4.0.0.
% 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 07:55:29 EDT 2022
% Result : Theorem 0.49s 1.15s
% Output : Refutation 0.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL644+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14 % Command : bliksem %s
% 0.13/0.35 % Computer : n020.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 : Sun Jul 3 21:58:00 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.49/1.15 *** allocated 10000 integers for termspace/termends
% 0.49/1.15 *** allocated 10000 integers for clauses
% 0.49/1.15 *** allocated 10000 integers for justifications
% 0.49/1.15 Bliksem 1.12
% 0.49/1.15
% 0.49/1.15
% 0.49/1.15 Automatic Strategy Selection
% 0.49/1.15
% 0.49/1.15
% 0.49/1.15 Clauses:
% 0.49/1.15
% 0.49/1.15 { alpha1( skol1 ), alpha2( skol1, skol15 ) }.
% 0.49/1.15 { alpha1( skol1 ), ! r1( skol15, X ), p1( X ) }.
% 0.49/1.15 { alpha1( skol1 ), p1( skol15 ) }.
% 0.49/1.15 { r1( skol1, skol16 ) }.
% 0.49/1.15 { ! p1( skol16 ) }.
% 0.49/1.15 { ! r1( skol16, X ), p1( X ) }.
% 0.49/1.15 { p1( skol16 ) }.
% 0.49/1.15 { r1( skol1, skol17 ) }.
% 0.49/1.15 { ! p1( skol17 ) }.
% 0.49/1.15 { ! r1( skol17, X ), p1( X ) }.
% 0.49/1.15 { p1( skol17 ) }.
% 0.49/1.15 { ! alpha2( X, Y ), alpha7( X, Y ) }.
% 0.49/1.15 { ! alpha2( X, Y ), p1( Y ) }.
% 0.49/1.15 { ! alpha7( X, Y ), ! p1( Y ), alpha2( X, Y ) }.
% 0.49/1.15 { ! alpha7( X, Y ), alpha11( X, Y ) }.
% 0.49/1.15 { ! alpha7( X, Y ), ! p2( Y ) }.
% 0.49/1.15 { ! alpha11( X, Y ), p2( Y ), alpha7( X, Y ) }.
% 0.49/1.15 { ! alpha11( X, Y ), alpha16( X, Y ) }.
% 0.49/1.15 { ! alpha11( X, Y ), ! p1( Y ) }.
% 0.49/1.15 { ! alpha16( X, Y ), p1( Y ), alpha11( X, Y ) }.
% 0.49/1.15 { ! alpha16( X, Y ), r1( X, Y ) }.
% 0.49/1.15 { ! alpha16( X, Y ), p2( Y ) }.
% 0.49/1.15 { ! alpha16( X, Y ), alpha4( Y ) }.
% 0.49/1.15 { ! r1( X, Y ), ! p2( Y ), ! alpha4( Y ), alpha16( X, Y ) }.
% 0.49/1.15 { ! alpha4( X ), ! r1( X, Y ), p2( Y ) }.
% 0.49/1.15 { ! p2( skol2( Y ) ), alpha4( X ) }.
% 0.49/1.15 { r1( X, skol2( X ) ), alpha4( X ) }.
% 0.49/1.15 { ! alpha1( X ), alpha3( X ), alpha5( X ) }.
% 0.49/1.15 { ! alpha3( X ), alpha1( X ) }.
% 0.49/1.15 { ! alpha5( X ), alpha1( X ) }.
% 0.49/1.15 { ! alpha5( X ), alpha12( skol3( Y ) ) }.
% 0.49/1.15 { ! alpha5( X ), alpha17( X, skol3( X ) ) }.
% 0.49/1.15 { ! alpha17( X, Y ), ! alpha12( Y ), alpha5( X ) }.
% 0.49/1.15 { ! alpha17( X, Y ), alpha23( X, Y ) }.
% 0.49/1.15 { ! alpha17( X, Y ), ! p1( Y ) }.
% 0.49/1.15 { ! alpha23( X, Y ), p1( Y ), alpha17( X, Y ) }.
% 0.49/1.15 { ! alpha23( X, Y ), r1( X, Y ) }.
% 0.49/1.15 { ! alpha23( X, Y ), p2( Y ) }.
% 0.49/1.15 { ! alpha23( X, Y ), alpha8( Y ) }.
% 0.49/1.15 { ! r1( X, Y ), ! p2( Y ), ! alpha8( Y ), alpha23( X, Y ) }.
% 0.49/1.15 { ! alpha12( X ), p1( skol4( Y ) ) }.
% 0.49/1.15 { ! alpha12( X ), alpha24( X, skol4( X ) ) }.
% 0.49/1.15 { ! alpha24( X, Y ), ! p1( Y ), alpha12( X ) }.
% 0.49/1.15 { ! alpha24( X, Y ), alpha28( X, Y ) }.
% 0.49/1.15 { ! alpha24( X, Y ), alpha18( Y ) }.
% 0.49/1.15 { ! alpha28( X, Y ), ! alpha18( Y ), alpha24( X, Y ) }.
% 0.49/1.15 { ! alpha28( X, Y ), r1( X, Y ) }.
% 0.49/1.15 { ! alpha28( X, Y ), ! p2( Y ) }.
% 0.49/1.15 { ! alpha28( X, Y ), p1( Y ) }.
% 0.49/1.15 { ! r1( X, Y ), p2( Y ), ! p1( Y ), alpha28( X, Y ) }.
% 0.49/1.15 { ! alpha18( X ), ! r1( X, Y ), p1( Y ) }.
% 0.49/1.15 { ! p1( skol5( Y ) ), alpha18( X ) }.
% 0.49/1.15 { r1( X, skol5( X ) ), alpha18( X ) }.
% 0.49/1.15 { ! alpha8( X ), ! r1( X, Y ), p2( Y ) }.
% 0.49/1.15 { ! p2( skol6( Y ) ), alpha8( X ) }.
% 0.49/1.15 { r1( X, skol6( X ) ), alpha8( X ) }.
% 0.49/1.15 { ! alpha3( X ), alpha6( X ), alpha9( X ) }.
% 0.49/1.15 { ! alpha6( X ), alpha3( X ) }.
% 0.49/1.15 { ! alpha9( X ), alpha3( X ) }.
% 0.49/1.15 { ! alpha9( X ), p1( skol7( Y ) ) }.
% 0.49/1.15 { ! alpha9( X ), alpha25( X, skol7( X ) ) }.
% 0.49/1.15 { ! alpha25( X, Y ), ! p1( Y ), alpha9( X ) }.
% 0.49/1.15 { ! alpha25( X, Y ), alpha29( X, Y ) }.
% 0.49/1.15 { ! alpha25( X, Y ), alpha19( Y ) }.
% 0.49/1.15 { ! alpha29( X, Y ), ! alpha19( Y ), alpha25( X, Y ) }.
% 0.49/1.15 { ! alpha29( X, Y ), alpha31( X, Y ) }.
% 0.49/1.15 { ! alpha29( X, Y ), p1( Y ) }.
% 0.49/1.15 { ! alpha31( X, Y ), ! p1( Y ), alpha29( X, Y ) }.
% 0.49/1.15 { ! alpha31( X, Y ), r1( X, Y ) }.
% 0.49/1.15 { ! alpha31( X, Y ), alpha13( Y ) }.
% 0.49/1.15 { ! alpha31( X, Y ), ! p2( Y ) }.
% 0.49/1.15 { ! r1( X, Y ), ! alpha13( Y ), p2( Y ), alpha31( X, Y ) }.
% 0.49/1.15 { ! alpha19( X ), ! r1( X, Y ), p1( Y ) }.
% 0.49/1.15 { ! p1( skol8( Y ) ), alpha19( X ) }.
% 0.49/1.15 { r1( X, skol8( X ) ), alpha19( X ) }.
% 0.49/1.15 { ! alpha13( X ), ! p1( skol9( Y ) ) }.
% 0.49/1.15 { ! alpha13( X ), alpha26( X, skol9( X ) ) }.
% 0.49/1.15 { ! alpha26( X, Y ), p1( Y ), alpha13( X ) }.
% 0.49/1.15 { ! alpha26( X, Y ), r1( X, Y ) }.
% 0.49/1.15 { ! alpha26( X, Y ), p2( Y ) }.
% 0.49/1.15 { ! alpha26( X, Y ), alpha20( Y ) }.
% 0.49/1.15 { ! r1( X, Y ), ! p2( Y ), ! alpha20( Y ), alpha26( X, Y ) }.
% 0.49/1.15 { ! alpha20( X ), ! r1( X, Y ), p2( Y ) }.
% 0.49/1.15 { ! p2( skol10( Y ) ), alpha20( X ) }.
% 0.49/1.15 { r1( X, skol10( X ) ), alpha20( X ) }.
% 0.49/1.15 { ! alpha6( X ), alpha10( X ), alpha14( X ) }.
% 0.49/1.15 { ! alpha10( X ), alpha6( X ) }.
% 0.49/1.15 { ! alpha14( X ), alpha6( X ) }.
% 0.49/1.15 { ! alpha14( X ), alpha27( X, Y ), ! p1( Y ) }.
% 0.49/1.15 { p1( skol11( Y ) ), alpha14( X ) }.
% 0.49/1.15 { ! alpha27( X, skol11( X ) ), alpha14( X ) }.
% 0.49/1.15 { ! alpha27( X, Y ), alpha30( X, Y ), alpha21( Y ) }.
% 0.49/1.15 { ! alpha30( X, Y ), alpha27( X, Y ) }.
% 0.49/1.15 { ! alpha21( Y ), alpha27( X, Y ) }.
% 0.49/1.15 { ! alpha30( X, Y ), ! r1( X, Y ), p2( Y ), ! p1( Y ) }.
% 0.49/1.15 { r1( X, Y ), alpha30( X, Y ) }.
% 0.49/1.15 { ! p2( Y ), alpha30( X, Y ) }.
% 0.49/1.15 { p1( Y ), alpha30( X, Y ) }.
% 0.49/1.15 { ! alpha21( X ), ! p1( skol12( Y ) ) }.
% 0.49/1.15 { ! alpha21( X ), r1( X, skol12( X ) ) }.
% 0.49/1.15 { ! r1( X, Y ), p1( Y ), alpha21( X ) }.
% 0.49/1.15 { ! alpha10( X ), alpha22( X, Y ), p1( Y ) }.
% 0.49/1.15 { ! p1( skol13( Y ) ), alpha10( X ) }.
% 0.49/1.15 { ! alpha22( X, skol13( X ) ), alpha10( X ) }.
% 0.49/1.15 { ! alpha22( X, Y ), ! r1( X, Y ), ! p2( Y ), alpha15( Y ) }.
% 0.49/1.15 { r1( X, Y ), alpha22( X, Y ) }.
% 0.49/1.15 { p2( Y ), alpha22( X, Y ) }.
% 0.49/1.15 { ! alpha15( Y ), alpha22( X, Y ) }.
% 0.49/1.15 { ! alpha15( X ), ! p2( skol14( Y ) ) }.
% 0.49/1.15 { ! alpha15( X ), r1( X, skol14( X ) ) }.
% 0.49/1.15 { ! r1( X, Y ), p2( Y ), alpha15( X ) }.
% 0.49/1.15
% 0.49/1.15 percentage equality = 0.000000, percentage horn = 0.765766
% 0.49/1.15 This a non-horn, non-equality problem
% 0.49/1.15
% 0.49/1.15
% 0.49/1.15 Options Used:
% 0.49/1.15
% 0.49/1.15 useres = 1
% 0.49/1.15 useparamod = 0
% 0.49/1.15 useeqrefl = 0
% 0.49/1.15 useeqfact = 0
% 0.49/1.15 usefactor = 1
% 0.49/1.15 usesimpsplitting = 0
% 0.49/1.15 usesimpdemod = 0
% 0.49/1.15 usesimpres = 3
% 0.49/1.15
% 0.49/1.15 resimpinuse = 1000
% 0.49/1.15 resimpclauses = 20000
% 0.49/1.15 substype = standard
% 0.49/1.15 backwardsubs = 1
% 0.49/1.15 selectoldest = 5
% 0.49/1.15
% 0.49/1.15 litorderings [0] = split
% 0.49/1.15 litorderings [1] = liftord
% 0.49/1.15
% 0.49/1.15 termordering = none
% 0.49/1.15
% 0.49/1.15 litapriori = 1
% 0.49/1.15 termapriori = 0
% 0.49/1.15 litaposteriori = 0
% 0.49/1.15 termaposteriori = 0
% 0.49/1.15 demodaposteriori = 0
% 0.49/1.15 ordereqreflfact = 0
% 0.49/1.15
% 0.49/1.15 litselect = none
% 0.49/1.15
% 0.49/1.15 maxweight = 15
% 0.49/1.15 maxdepth = 30000
% 0.49/1.15 maxlength = 115
% 0.49/1.15 maxnrvars = 195
% 0.49/1.15 excuselevel = 1
% 0.49/1.15 increasemaxweight = 1
% 0.49/1.15
% 0.49/1.15 maxselected = 10000000
% 0.49/1.15 maxnrclauses = 10000000
% 0.49/1.15
% 0.49/1.15 showgenerated = 0
% 0.49/1.15 showkept = 0
% 0.49/1.15 showselected = 0
% 0.49/1.15 showdeleted = 0
% 0.49/1.15 showresimp = 1
% 0.49/1.15 showstatus = 2000
% 0.49/1.15
% 0.49/1.15 prologoutput = 0
% 0.49/1.15 nrgoals = 5000000
% 0.49/1.15 totalproof = 1
% 0.49/1.15
% 0.49/1.15 Symbols occurring in the translation:
% 0.49/1.15
% 0.49/1.15 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.49/1.15 . [1, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.49/1.15 ! [4, 1] (w:0, o:12, a:1, s:1, b:0),
% 0.49/1.15 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.49/1.15 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.49/1.15 r1 [37, 2] (w:1, o:72, a:1, s:1, b:0),
% 0.49/1.15 p2 [38, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.49/1.15 p1 [39, 1] (w:1, o:17, a:1, s:1, b:0),
% 0.49/1.15 alpha1 [40, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.49/1.15 alpha2 [41, 2] (w:1, o:76, a:1, s:1, b:0),
% 0.49/1.15 alpha3 [42, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.49/1.15 alpha4 [43, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.49/1.15 alpha5 [44, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.49/1.15 alpha6 [45, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.49/1.15 alpha7 [46, 2] (w:1, o:77, a:1, s:1, b:0),
% 0.49/1.15 alpha8 [47, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.49/1.15 alpha9 [48, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.49/1.15 alpha10 [49, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.49/1.15 alpha11 [50, 2] (w:1, o:73, a:1, s:1, b:0),
% 0.49/1.15 alpha12 [51, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.49/1.15 alpha13 [52, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.49/1.15 alpha14 [53, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.49/1.15 alpha15 [54, 1] (w:1, o:32, a:1, s:1, b:0),
% 0.49/1.15 alpha16 [55, 2] (w:1, o:74, a:1, s:1, b:0),
% 0.49/1.15 alpha17 [56, 2] (w:1, o:75, a:1, s:1, b:0),
% 0.49/1.15 alpha18 [57, 1] (w:1, o:33, a:1, s:1, b:0),
% 0.49/1.15 alpha19 [58, 1] (w:1, o:34, a:1, s:1, b:0),
% 0.49/1.15 alpha20 [59, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.49/1.15 alpha21 [60, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.49/1.15 alpha22 [61, 2] (w:1, o:78, a:1, s:1, b:0),
% 0.49/1.15 alpha23 [62, 2] (w:1, o:79, a:1, s:1, b:0),
% 0.49/1.15 alpha24 [63, 2] (w:1, o:80, a:1, s:1, b:0),
% 0.49/1.15 alpha25 [64, 2] (w:1, o:81, a:1, s:1, b:0),
% 0.49/1.15 alpha26 [65, 2] (w:1, o:82, a:1, s:1, b:0),
% 0.49/1.15 alpha27 [66, 2] (w:1, o:83, a:1, s:1, b:0),
% 0.49/1.15 alpha28 [67, 2] (w:1, o:84, a:1, s:1, b:0),
% 0.49/1.15 alpha29 [68, 2] (w:1, o:85, a:1, s:1, b:0),
% 0.49/1.15 alpha30 [69, 2] (w:1, o:86, a:1, s:1, b:0),
% 0.49/1.15 alpha31 [70, 2] (w:1, o:87, a:1, s:1, b:0),
% 0.49/1.15 skol1 [71, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.49/1.15 skol2 [72, 1] (w:1, o:40, a:1, s:1, b:0),
% 0.49/1.15 skol3 [73, 1] (w:1, o:41, a:1, s:1, b:0),
% 0.49/1.15 skol4 [74, 1] (w:1, o:42, a:1, s:1, b:0),
% 0.49/1.15 skol5 [75, 1] (w:1, o:43, a:1, s:1, b:0),
% 0.49/1.15 skol6 [76, 1] (w:1, o:44, a:1, s:1, b:0),
% 0.49/1.15 skol7 [77, 1] (w:1, o:45, a:1, s:1, b:0),
% 0.49/1.15 skol8 [78, 1] (w:1, o:46, a:1, s:1, b:0),
% 0.49/1.15 skol9 [79, 1] (w:1, o:47, a:1, s:1, b:0),
% 0.49/1.15 skol10 [80, 1] (w:1, o:35, a:1, s:1, b:0),
% 0.49/1.15 skol11 [81, 1] (w:1, o:36, a:1, s:1, b:0),
% 0.49/1.15 skol12 [82, 1] (w:1, o:37, a:1, s:1, b:0),
% 0.49/1.15 skol13 [83, 1] (w:1, o:38, a:1, s:1, b:0),
% 0.49/1.15 skol14 [84, 1] (w:1, o:39, a:1, s:1, b:0),
% 0.49/1.15 skol15 [85, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.49/1.15 skol16 [86, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.49/1.15 skol17 [87, 0] (w:1, o:11, a:1, s:1, b:0).
% 0.49/1.15
% 0.49/1.15
% 0.49/1.15 Starting Search:
% 0.49/1.15
% 0.49/1.15
% 0.49/1.15 Bliksems!, er is een bewijs:
% 0.49/1.15 % SZS status Theorem
% 0.49/1.15 % SZS output start Refutation
% 0.49/1.15
% 0.49/1.15 (4) {G0,W2,D2,L1,V0,M1} I { ! p1( skol16 ) }.
% 0.49/1.15 (6) {G1,W0,D0,L0,V0,M0} I;r(4) { }.
% 0.49/1.15
% 0.49/1.15
% 0.49/1.15 % SZS output end Refutation
% 0.49/1.15 found a proof!
% 0.49/1.15
% 0.49/1.15
% 0.49/1.15 Unprocessed initial clauses:
% 0.49/1.15
% 0.49/1.15 (8) {G0,W5,D2,L2,V0,M2} { alpha1( skol1 ), alpha2( skol1, skol15 ) }.
% 0.49/1.15 (9) {G0,W7,D2,L3,V1,M3} { alpha1( skol1 ), ! r1( skol15, X ), p1( X ) }.
% 0.49/1.15 (10) {G0,W4,D2,L2,V0,M2} { alpha1( skol1 ), p1( skol15 ) }.
% 0.49/1.15 (11) {G0,W3,D2,L1,V0,M1} { r1( skol1, skol16 ) }.
% 0.49/1.15 (12) {G0,W2,D2,L1,V0,M1} { ! p1( skol16 ) }.
% 0.49/1.15 (13) {G0,W5,D2,L2,V1,M2} { ! r1( skol16, X ), p1( X ) }.
% 0.49/1.15 (14) {G0,W2,D2,L1,V0,M1} { p1( skol16 ) }.
% 0.49/1.15 (15) {G0,W3,D2,L1,V0,M1} { r1( skol1, skol17 ) }.
% 0.49/1.15 (16) {G0,W2,D2,L1,V0,M1} { ! p1( skol17 ) }.
% 0.49/1.15 (17) {G0,W5,D2,L2,V1,M2} { ! r1( skol17, X ), p1( X ) }.
% 0.49/1.15 (18) {G0,W2,D2,L1,V0,M1} { p1( skol17 ) }.
% 0.49/1.15 (19) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), alpha7( X, Y ) }.
% 0.49/1.15 (20) {G0,W5,D2,L2,V2,M2} { ! alpha2( X, Y ), p1( Y ) }.
% 0.49/1.15 (21) {G0,W8,D2,L3,V2,M3} { ! alpha7( X, Y ), ! p1( Y ), alpha2( X, Y ) }.
% 0.49/1.15 (22) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), alpha11( X, Y ) }.
% 0.49/1.15 (23) {G0,W5,D2,L2,V2,M2} { ! alpha7( X, Y ), ! p2( Y ) }.
% 0.49/1.15 (24) {G0,W8,D2,L3,V2,M3} { ! alpha11( X, Y ), p2( Y ), alpha7( X, Y ) }.
% 0.49/1.15 (25) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha16( X, Y ) }.
% 0.49/1.15 (26) {G0,W5,D2,L2,V2,M2} { ! alpha11( X, Y ), ! p1( Y ) }.
% 0.49/1.15 (27) {G0,W8,D2,L3,V2,M3} { ! alpha16( X, Y ), p1( Y ), alpha11( X, Y ) }.
% 0.49/1.15 (28) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), r1( X, Y ) }.
% 0.49/1.15 (29) {G0,W5,D2,L2,V2,M2} { ! alpha16( X, Y ), p2( Y ) }.
% 0.49/1.15 (30) {G0,W5,D2,L2,V2,M2} { ! alpha16( X, Y ), alpha4( Y ) }.
% 0.49/1.15 (31) {G0,W10,D2,L4,V2,M4} { ! r1( X, Y ), ! p2( Y ), ! alpha4( Y ),
% 0.49/1.15 alpha16( X, Y ) }.
% 0.49/1.15 (32) {G0,W7,D2,L3,V2,M3} { ! alpha4( X ), ! r1( X, Y ), p2( Y ) }.
% 0.49/1.15 (33) {G0,W5,D3,L2,V2,M2} { ! p2( skol2( Y ) ), alpha4( X ) }.
% 0.49/1.15 (34) {G0,W6,D3,L2,V1,M2} { r1( X, skol2( X ) ), alpha4( X ) }.
% 0.49/1.15 (35) {G0,W6,D2,L3,V1,M3} { ! alpha1( X ), alpha3( X ), alpha5( X ) }.
% 0.49/1.15 (36) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), alpha1( X ) }.
% 0.49/1.15 (37) {G0,W4,D2,L2,V1,M2} { ! alpha5( X ), alpha1( X ) }.
% 0.49/1.15 (38) {G0,W5,D3,L2,V2,M2} { ! alpha5( X ), alpha12( skol3( Y ) ) }.
% 0.49/1.15 (39) {G0,W6,D3,L2,V1,M2} { ! alpha5( X ), alpha17( X, skol3( X ) ) }.
% 0.49/1.15 (40) {G0,W7,D2,L3,V2,M3} { ! alpha17( X, Y ), ! alpha12( Y ), alpha5( X )
% 0.49/1.15 }.
% 0.49/1.15 (41) {G0,W6,D2,L2,V2,M2} { ! alpha17( X, Y ), alpha23( X, Y ) }.
% 0.49/1.15 (42) {G0,W5,D2,L2,V2,M2} { ! alpha17( X, Y ), ! p1( Y ) }.
% 0.49/1.15 (43) {G0,W8,D2,L3,V2,M3} { ! alpha23( X, Y ), p1( Y ), alpha17( X, Y ) }.
% 0.49/1.15 (44) {G0,W6,D2,L2,V2,M2} { ! alpha23( X, Y ), r1( X, Y ) }.
% 0.49/1.15 (45) {G0,W5,D2,L2,V2,M2} { ! alpha23( X, Y ), p2( Y ) }.
% 0.49/1.15 (46) {G0,W5,D2,L2,V2,M2} { ! alpha23( X, Y ), alpha8( Y ) }.
% 0.49/1.15 (47) {G0,W10,D2,L4,V2,M4} { ! r1( X, Y ), ! p2( Y ), ! alpha8( Y ),
% 0.49/1.15 alpha23( X, Y ) }.
% 0.49/1.15 (48) {G0,W5,D3,L2,V2,M2} { ! alpha12( X ), p1( skol4( Y ) ) }.
% 0.49/1.15 (49) {G0,W6,D3,L2,V1,M2} { ! alpha12( X ), alpha24( X, skol4( X ) ) }.
% 0.49/1.15 (50) {G0,W7,D2,L3,V2,M3} { ! alpha24( X, Y ), ! p1( Y ), alpha12( X ) }.
% 0.49/1.15 (51) {G0,W6,D2,L2,V2,M2} { ! alpha24( X, Y ), alpha28( X, Y ) }.
% 0.49/1.15 (52) {G0,W5,D2,L2,V2,M2} { ! alpha24( X, Y ), alpha18( Y ) }.
% 0.49/1.15 (53) {G0,W8,D2,L3,V2,M3} { ! alpha28( X, Y ), ! alpha18( Y ), alpha24( X,
% 0.49/1.15 Y ) }.
% 0.49/1.15 (54) {G0,W6,D2,L2,V2,M2} { ! alpha28( X, Y ), r1( X, Y ) }.
% 0.49/1.15 (55) {G0,W5,D2,L2,V2,M2} { ! alpha28( X, Y ), ! p2( Y ) }.
% 0.49/1.15 (56) {G0,W5,D2,L2,V2,M2} { ! alpha28( X, Y ), p1( Y ) }.
% 0.49/1.15 (57) {G0,W10,D2,L4,V2,M4} { ! r1( X, Y ), p2( Y ), ! p1( Y ), alpha28( X,
% 0.49/1.15 Y ) }.
% 0.49/1.15 (58) {G0,W7,D2,L3,V2,M3} { ! alpha18( X ), ! r1( X, Y ), p1( Y ) }.
% 0.49/1.15 (59) {G0,W5,D3,L2,V2,M2} { ! p1( skol5( Y ) ), alpha18( X ) }.
% 0.49/1.15 (60) {G0,W6,D3,L2,V1,M2} { r1( X, skol5( X ) ), alpha18( X ) }.
% 0.49/1.15 (61) {G0,W7,D2,L3,V2,M3} { ! alpha8( X ), ! r1( X, Y ), p2( Y ) }.
% 0.49/1.15 (62) {G0,W5,D3,L2,V2,M2} { ! p2( skol6( Y ) ), alpha8( X ) }.
% 0.49/1.15 (63) {G0,W6,D3,L2,V1,M2} { r1( X, skol6( X ) ), alpha8( X ) }.
% 0.49/1.15 (64) {G0,W6,D2,L3,V1,M3} { ! alpha3( X ), alpha6( X ), alpha9( X ) }.
% 0.49/1.15 (65) {G0,W4,D2,L2,V1,M2} { ! alpha6( X ), alpha3( X ) }.
% 0.49/1.15 (66) {G0,W4,D2,L2,V1,M2} { ! alpha9( X ), alpha3( X ) }.
% 0.49/1.15 (67) {G0,W5,D3,L2,V2,M2} { ! alpha9( X ), p1( skol7( Y ) ) }.
% 0.49/1.15 (68) {G0,W6,D3,L2,V1,M2} { ! alpha9( X ), alpha25( X, skol7( X ) ) }.
% 0.49/1.15 (69) {G0,W7,D2,L3,V2,M3} { ! alpha25( X, Y ), ! p1( Y ), alpha9( X ) }.
% 0.49/1.15 (70) {G0,W6,D2,L2,V2,M2} { ! alpha25( X, Y ), alpha29( X, Y ) }.
% 0.49/1.15 (71) {G0,W5,D2,L2,V2,M2} { ! alpha25( X, Y ), alpha19( Y ) }.
% 0.49/1.15 (72) {G0,W8,D2,L3,V2,M3} { ! alpha29( X, Y ), ! alpha19( Y ), alpha25( X,
% 0.49/1.15 Y ) }.
% 0.49/1.15 (73) {G0,W6,D2,L2,V2,M2} { ! alpha29( X, Y ), alpha31( X, Y ) }.
% 0.49/1.15 (74) {G0,W5,D2,L2,V2,M2} { ! alpha29( X, Y ), p1( Y ) }.
% 0.49/1.15 (75) {G0,W8,D2,L3,V2,M3} { ! alpha31( X, Y ), ! p1( Y ), alpha29( X, Y )
% 0.49/1.15 }.
% 0.49/1.15 (76) {G0,W6,D2,L2,V2,M2} { ! alpha31( X, Y ), r1( X, Y ) }.
% 0.49/1.15 (77) {G0,W5,D2,L2,V2,M2} { ! alpha31( X, Y ), alpha13( Y ) }.
% 0.49/1.15 (78) {G0,W5,D2,L2,V2,M2} { ! alpha31( X, Y ), ! p2( Y ) }.
% 0.49/1.15 (79) {G0,W10,D2,L4,V2,M4} { ! r1( X, Y ), ! alpha13( Y ), p2( Y ), alpha31
% 0.49/1.15 ( X, Y ) }.
% 0.49/1.15 (80) {G0,W7,D2,L3,V2,M3} { ! alpha19( X ), ! r1( X, Y ), p1( Y ) }.
% 0.49/1.15 (81) {G0,W5,D3,L2,V2,M2} { ! p1( skol8( Y ) ), alpha19( X ) }.
% 0.49/1.15 (82) {G0,W6,D3,L2,V1,M2} { r1( X, skol8( X ) ), alpha19( X ) }.
% 0.49/1.15 (83) {G0,W5,D3,L2,V2,M2} { ! alpha13( X ), ! p1( skol9( Y ) ) }.
% 0.49/1.15 (84) {G0,W6,D3,L2,V1,M2} { ! alpha13( X ), alpha26( X, skol9( X ) ) }.
% 0.49/1.15 (85) {G0,W7,D2,L3,V2,M3} { ! alpha26( X, Y ), p1( Y ), alpha13( X ) }.
% 0.49/1.15 (86) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), r1( X, Y ) }.
% 0.49/1.15 (87) {G0,W5,D2,L2,V2,M2} { ! alpha26( X, Y ), p2( Y ) }.
% 0.49/1.15 (88) {G0,W5,D2,L2,V2,M2} { ! alpha26( X, Y ), alpha20( Y ) }.
% 0.49/1.15 (89) {G0,W10,D2,L4,V2,M4} { ! r1( X, Y ), ! p2( Y ), ! alpha20( Y ),
% 0.49/1.15 alpha26( X, Y ) }.
% 0.49/1.15 (90) {G0,W7,D2,L3,V2,M3} { ! alpha20( X ), ! r1( X, Y ), p2( Y ) }.
% 0.49/1.15 (91) {G0,W5,D3,L2,V2,M2} { ! p2( skol10( Y ) ), alpha20( X ) }.
% 0.49/1.15 (92) {G0,W6,D3,L2,V1,M2} { r1( X, skol10( X ) ), alpha20( X ) }.
% 0.49/1.15 (93) {G0,W6,D2,L3,V1,M3} { ! alpha6( X ), alpha10( X ), alpha14( X ) }.
% 0.49/1.15 (94) {G0,W4,D2,L2,V1,M2} { ! alpha10( X ), alpha6( X ) }.
% 0.49/1.15 (95) {G0,W4,D2,L2,V1,M2} { ! alpha14( X ), alpha6( X ) }.
% 0.49/1.15 (96) {G0,W7,D2,L3,V2,M3} { ! alpha14( X ), alpha27( X, Y ), ! p1( Y ) }.
% 0.49/1.15 (97) {G0,W5,D3,L2,V2,M2} { p1( skol11( Y ) ), alpha14( X ) }.
% 0.49/1.15 (98) {G0,W6,D3,L2,V1,M2} { ! alpha27( X, skol11( X ) ), alpha14( X ) }.
% 0.49/1.15 (99) {G0,W8,D2,L3,V2,M3} { ! alpha27( X, Y ), alpha30( X, Y ), alpha21( Y
% 0.49/1.15 ) }.
% 0.49/1.15 (100) {G0,W6,D2,L2,V2,M2} { ! alpha30( X, Y ), alpha27( X, Y ) }.
% 0.49/1.15 (101) {G0,W5,D2,L2,V2,M2} { ! alpha21( Y ), alpha27( X, Y ) }.
% 0.49/1.15 (102) {G0,W10,D2,L4,V2,M4} { ! alpha30( X, Y ), ! r1( X, Y ), p2( Y ), !
% 0.49/1.15 p1( Y ) }.
% 0.49/1.15 (103) {G0,W6,D2,L2,V2,M2} { r1( X, Y ), alpha30( X, Y ) }.
% 0.49/1.15 (104) {G0,W5,D2,L2,V2,M2} { ! p2( Y ), alpha30( X, Y ) }.
% 0.49/1.15 (105) {G0,W5,D2,L2,V2,M2} { p1( Y ), alpha30( X, Y ) }.
% 0.49/1.15 (106) {G0,W5,D3,L2,V2,M2} { ! alpha21( X ), ! p1( skol12( Y ) ) }.
% 0.49/1.15 (107) {G0,W6,D3,L2,V1,M2} { ! alpha21( X ), r1( X, skol12( X ) ) }.
% 0.49/1.15 (108) {G0,W7,D2,L3,V2,M3} { ! r1( X, Y ), p1( Y ), alpha21( X ) }.
% 0.49/1.15 (109) {G0,W7,D2,L3,V2,M3} { ! alpha10( X ), alpha22( X, Y ), p1( Y ) }.
% 0.49/1.15 (110) {G0,W5,D3,L2,V2,M2} { ! p1( skol13( Y ) ), alpha10( X ) }.
% 0.49/1.15 (111) {G0,W6,D3,L2,V1,M2} { ! alpha22( X, skol13( X ) ), alpha10( X ) }.
% 0.49/1.15 (112) {G0,W10,D2,L4,V2,M4} { ! alpha22( X, Y ), ! r1( X, Y ), ! p2( Y ),
% 0.49/1.15 alpha15( Y ) }.
% 0.49/1.15 (113) {G0,W6,D2,L2,V2,M2} { r1( X, Y ), alpha22( X, Y ) }.
% 0.49/1.15 (114) {G0,W5,D2,L2,V2,M2} { p2( Y ), alpha22( X, Y ) }.
% 0.49/1.15 (115) {G0,W5,D2,L2,V2,M2} { ! alpha15( Y ), alpha22( X, Y ) }.
% 0.49/1.15 (116) {G0,W5,D3,L2,V2,M2} { ! alpha15( X ), ! p2( skol14( Y ) ) }.
% 0.49/1.15 (117) {G0,W6,D3,L2,V1,M2} { ! alpha15( X ), r1( X, skol14( X ) ) }.
% 0.49/1.15 (118) {G0,W7,D2,L3,V2,M3} { ! r1( X, Y ), p2( Y ), alpha15( X ) }.
% 0.49/1.15
% 0.49/1.15
% 0.49/1.15 Total Proof:
% 0.49/1.15
% 0.49/1.15 subsumption: (4) {G0,W2,D2,L1,V0,M1} I { ! p1( skol16 ) }.
% 0.49/1.15 parent0: (12) {G0,W2,D2,L1,V0,M1} { ! p1( skol16 ) }.
% 0.49/1.15 substitution0:
% 0.49/1.15 end
% 0.49/1.15 permutation0:
% 0.49/1.15 0 ==> 0
% 0.49/1.15 end
% 0.49/1.15
% 0.49/1.15 resolution: (119) {G1,W0,D0,L0,V0,M0} { }.
% 0.49/1.15 parent0[0]: (4) {G0,W2,D2,L1,V0,M1} I { ! p1( skol16 ) }.
% 0.49/1.15 parent1[0]: (14) {G0,W2,D2,L1,V0,M1} { p1( skol16 ) }.
% 0.49/1.15 substitution0:
% 0.49/1.15 end
% 0.49/1.15 substitution1:
% 0.49/1.15 end
% 0.49/1.15
% 0.49/1.15 subsumption: (6) {G1,W0,D0,L0,V0,M0} I;r(4) { }.
% 0.49/1.15 parent0: (119) {G1,W0,D0,L0,V0,M0} { }.
% 0.49/1.15 substitution0:
% 0.49/1.15 end
% 0.49/1.15 permutation0:
% 0.49/1.15 end
% 0.49/1.15
% 0.49/1.15 Proof check complete!
% 0.49/1.15
% 0.49/1.15 Memory use:
% 0.49/1.15
% 0.49/1.15 space for terms: 1425
% 0.49/1.15 space for clauses: 375
% 0.49/1.15
% 0.49/1.15
% 0.49/1.15 clauses generated: 7
% 0.49/1.15 clauses kept: 7
% 0.49/1.15 clauses selected: 0
% 0.49/1.15 clauses deleted: 0
% 0.49/1.15 clauses inuse deleted: 0
% 0.49/1.15
% 0.49/1.15 subsentry: 0
% 0.49/1.15 literals s-matched: 0
% 0.49/1.15 literals matched: 0
% 0.49/1.15 full subsumption: 0
% 0.49/1.15
% 0.49/1.15 checksum: -14978116
% 0.49/1.15
% 0.49/1.15
% 0.49/1.15 Bliksem ended
%------------------------------------------------------------------------------