TSTP Solution File: ALG073+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG073+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.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 : Thu Jul 14 12:09:22 EDT 2022
% Result : Theorem 1.26s 1.65s
% Output : Refutation 1.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ALG073+1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n017.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 : Wed Jun 8 05:23:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.26/1.65 *** allocated 10000 integers for termspace/termends
% 1.26/1.65 *** allocated 10000 integers for clauses
% 1.26/1.65 *** allocated 10000 integers for justifications
% 1.26/1.65 Bliksem 1.12
% 1.26/1.65
% 1.26/1.65
% 1.26/1.65 Automatic Strategy Selection
% 1.26/1.65
% 1.26/1.65
% 1.26/1.65 Clauses:
% 1.26/1.65
% 1.26/1.65 { ! sorti1( X ), ! sorti1( Y ), sorti1( op1( X, Y ) ) }.
% 1.26/1.65 { ! sorti2( X ), ! sorti2( Y ), sorti2( op2( X, Y ) ) }.
% 1.26/1.65 { sorti1( skol1 ) }.
% 1.26/1.65 { sorti1( skol2 ) }.
% 1.26/1.65 { op1( skol1, skol1 ) = skol2 }.
% 1.26/1.65 { op1( skol2, skol2 ) = skol1 }.
% 1.26/1.65 { ! op1( skol1, skol2 ) = skol1 }.
% 1.26/1.65 { ! sorti2( X ), ! sorti2( Y ), ! op2( X, X ) = Y, ! op2( Y, Y ) = X, op2(
% 1.26/1.65 X, Y ) = X }.
% 1.26/1.65 { ! sorti1( X ), sorti2( h( X ) ) }.
% 1.26/1.65 { ! sorti2( X ), sorti1( j( X ) ) }.
% 1.26/1.65 { ! sorti1( X ), ! sorti1( Y ), h( op1( X, Y ) ) = op2( h( X ), h( Y ) ) }
% 1.26/1.65 .
% 1.26/1.65 { ! sorti2( X ), ! sorti2( Y ), j( op2( X, Y ) ) = op1( j( X ), j( Y ) ) }
% 1.26/1.65 .
% 1.26/1.65 { ! sorti2( X ), h( j( X ) ) = X }.
% 1.26/1.65 { ! sorti1( X ), j( h( X ) ) = X }.
% 1.26/1.65
% 1.26/1.65 percentage equality = 0.333333, percentage horn = 1.000000
% 1.26/1.65 This is a problem with some equality
% 1.26/1.65
% 1.26/1.65
% 1.26/1.65
% 1.26/1.65 Options Used:
% 1.26/1.65
% 1.26/1.65 useres = 1
% 1.26/1.65 useparamod = 1
% 1.26/1.65 useeqrefl = 1
% 1.26/1.65 useeqfact = 1
% 1.26/1.65 usefactor = 1
% 1.26/1.65 usesimpsplitting = 0
% 1.26/1.65 usesimpdemod = 5
% 1.26/1.65 usesimpres = 3
% 1.26/1.65
% 1.26/1.65 resimpinuse = 1000
% 1.26/1.65 resimpclauses = 20000
% 1.26/1.65 substype = eqrewr
% 1.26/1.65 backwardsubs = 1
% 1.26/1.65 selectoldest = 5
% 1.26/1.65
% 1.26/1.65 litorderings [0] = split
% 1.26/1.65 litorderings [1] = extend the termordering, first sorting on arguments
% 1.26/1.65
% 1.26/1.65 termordering = kbo
% 1.26/1.65
% 1.26/1.65 litapriori = 0
% 1.26/1.65 termapriori = 1
% 1.26/1.65 litaposteriori = 0
% 1.26/1.65 termaposteriori = 0
% 1.26/1.65 demodaposteriori = 0
% 1.26/1.65 ordereqreflfact = 0
% 1.26/1.65
% 1.26/1.65 litselect = negord
% 1.26/1.65
% 1.26/1.65 maxweight = 15
% 1.26/1.65 maxdepth = 30000
% 1.26/1.65 maxlength = 115
% 1.26/1.65 maxnrvars = 195
% 1.26/1.65 excuselevel = 1
% 1.26/1.65 increasemaxweight = 1
% 1.26/1.65
% 1.26/1.65 maxselected = 10000000
% 1.26/1.65 maxnrclauses = 10000000
% 1.26/1.65
% 1.26/1.65 showgenerated = 0
% 1.26/1.65 showkept = 0
% 1.26/1.65 showselected = 0
% 1.26/1.65 showdeleted = 0
% 1.26/1.65 showresimp = 1
% 1.26/1.65 showstatus = 2000
% 1.26/1.65
% 1.26/1.65 prologoutput = 0
% 1.26/1.65 nrgoals = 5000000
% 1.26/1.65 totalproof = 1
% 1.26/1.65
% 1.26/1.65 Symbols occurring in the translation:
% 1.26/1.65
% 1.26/1.65 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.26/1.65 . [1, 2] (w:1, o:25, a:1, s:1, b:0),
% 1.26/1.65 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 1.26/1.65 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.26/1.65 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.26/1.65 sorti1 [36, 1] (w:1, o:21, a:1, s:1, b:0),
% 1.26/1.65 op1 [38, 2] (w:1, o:49, a:1, s:1, b:0),
% 1.26/1.65 sorti2 [39, 1] (w:1, o:22, a:1, s:1, b:0),
% 1.26/1.65 op2 [40, 2] (w:1, o:50, a:1, s:1, b:0),
% 1.26/1.65 h [41, 1] (w:1, o:23, a:1, s:1, b:0),
% 1.26/1.65 j [42, 1] (w:1, o:24, a:1, s:1, b:0),
% 1.26/1.65 skol1 [49, 0] (w:1, o:14, a:1, s:1, b:1),
% 1.26/1.65 skol2 [50, 0] (w:1, o:15, a:1, s:1, b:1).
% 1.26/1.65
% 1.26/1.65
% 1.26/1.65 Starting Search:
% 1.26/1.65
% 1.26/1.65 *** allocated 15000 integers for clauses
% 1.26/1.65 *** allocated 22500 integers for clauses
% 1.26/1.65 *** allocated 33750 integers for clauses
% 1.26/1.65 *** allocated 50625 integers for clauses
% 1.26/1.65 *** allocated 15000 integers for termspace/termends
% 1.26/1.65 *** allocated 75937 integers for clauses
% 1.26/1.65 Resimplifying inuse:
% 1.26/1.65 Done
% 1.26/1.65
% 1.26/1.65 *** allocated 22500 integers for termspace/termends
% 1.26/1.65 *** allocated 113905 integers for clauses
% 1.26/1.65 *** allocated 33750 integers for termspace/termends
% 1.26/1.65 *** allocated 170857 integers for clauses
% 1.26/1.65
% 1.26/1.65 Intermediate Status:
% 1.26/1.65 Generated: 4370
% 1.26/1.65 Kept: 2015
% 1.26/1.65 Inuse: 101
% 1.26/1.65 Deleted: 22
% 1.26/1.65 Deletedinuse: 6
% 1.26/1.65
% 1.26/1.65 Resimplifying inuse:
% 1.26/1.65 Done
% 1.26/1.65
% 1.26/1.65 *** allocated 50625 integers for termspace/termends
% 1.26/1.65 *** allocated 256285 integers for clauses
% 1.26/1.65 Resimplifying inuse:
% 1.26/1.65 Done
% 1.26/1.65
% 1.26/1.65 *** allocated 75937 integers for termspace/termends
% 1.26/1.65
% 1.26/1.65 Intermediate Status:
% 1.26/1.65 Generated: 7795
% 1.26/1.65 Kept: 4110
% 1.26/1.65 Inuse: 124
% 1.26/1.65 Deleted: 26
% 1.26/1.65 Deletedinuse: 10
% 1.26/1.65
% 1.26/1.65 Resimplifying inuse:
% 1.26/1.65 Done
% 1.26/1.65
% 1.26/1.65 *** allocated 384427 integers for clauses
% 1.26/1.65 Resimplifying inuse:
% 1.26/1.65 Done
% 1.26/1.65
% 1.26/1.65 *** allocated 113905 integers for termspace/termends
% 1.26/1.65
% 1.26/1.65 Intermediate Status:
% 1.26/1.65 Generated: 12558
% 1.26/1.65 Kept: 6141
% 1.26/1.65 Inuse: 176
% 1.26/1.65 Deleted: 28
% 1.26/1.65 Deletedinuse: 10
% 1.26/1.65
% 1.26/1.65 Resimplifying inuse:
% 1.26/1.65 Done
% 1.26/1.65
% 1.26/1.65
% 1.26/1.65 Bliksems!, er is een bewijs:
% 1.26/1.65 % SZS status Theorem
% 1.26/1.65 % SZS output start Refutation
% 1.26/1.65
% 1.26/1.65 (0) {G0,W8,D3,L3,V2,M3} I { ! sorti1( X ), ! sorti1( Y ), sorti1( op1( X, Y
% 1.26/1.65 ) ) }.
% 1.26/1.65 (1) {G0,W8,D3,L3,V2,M3} I { ! sorti2( X ), ! sorti2( Y ), sorti2( op2( X, Y
% 1.26/1.65 ) ) }.
% 1.26/1.65 (2) {G0,W2,D2,L1,V0,M1} I { sorti1( skol1 ) }.
% 1.26/1.65 (3) {G0,W2,D2,L1,V0,M1} I { sorti1( skol2 ) }.
% 1.26/1.65 (4) {G0,W5,D3,L1,V0,M1} I { op1( skol1, skol1 ) ==> skol2 }.
% 1.26/1.65 (5) {G0,W5,D3,L1,V0,M1} I { op1( skol2, skol2 ) ==> skol1 }.
% 1.26/1.65 (6) {G0,W5,D3,L1,V0,M1} I { ! op1( skol1, skol2 ) ==> skol1 }.
% 1.26/1.65 (7) {G0,W19,D3,L5,V2,M5} I { ! sorti2( X ), ! sorti2( Y ), ! op2( X, X ) =
% 1.26/1.65 Y, ! op2( Y, Y ) = X, op2( X, Y ) ==> X }.
% 1.26/1.65 (8) {G0,W5,D3,L2,V1,M2} I { ! sorti1( X ), sorti2( h( X ) ) }.
% 1.26/1.65 (9) {G0,W5,D3,L2,V1,M2} I { ! sorti2( X ), sorti1( j( X ) ) }.
% 1.26/1.65 (10) {G0,W14,D4,L3,V2,M3} I { ! sorti1( X ), ! sorti1( Y ), op2( h( X ), h
% 1.26/1.65 ( Y ) ) ==> h( op1( X, Y ) ) }.
% 1.26/1.65 (12) {G0,W7,D4,L2,V1,M2} I { ! sorti2( X ), h( j( X ) ) ==> X }.
% 1.26/1.65 (13) {G0,W7,D4,L2,V1,M2} I { ! sorti1( X ), j( h( X ) ) ==> X }.
% 1.26/1.65 (17) {G1,W18,D4,L3,V1,M3} Q(7);r(1) { ! sorti2( X ), ! op2( op2( X, X ),
% 1.26/1.65 op2( X, X ) ) ==> X, op2( X, op2( X, X ) ) ==> X }.
% 1.26/1.65 (19) {G1,W12,D4,L2,V1,M2} F(10) { ! sorti1( X ), op2( h( X ), h( X ) ) ==>
% 1.26/1.65 h( op1( X, X ) ) }.
% 1.26/1.65 (23) {G1,W6,D3,L2,V1,M2} R(0,2) { ! sorti1( X ), sorti1( op1( skol1, X ) )
% 1.26/1.65 }.
% 1.26/1.65 (38) {G1,W3,D3,L1,V0,M1} R(8,2) { sorti2( h( skol1 ) ) }.
% 1.26/1.65 (39) {G1,W3,D3,L1,V0,M1} R(8,3) { sorti2( h( skol2 ) ) }.
% 1.26/1.65 (41) {G2,W4,D4,L1,V0,M1} R(38,9) { sorti1( j( h( skol1 ) ) ) }.
% 1.26/1.65 (42) {G2,W4,D4,L1,V0,M1} R(39,9) { sorti1( j( h( skol2 ) ) ) }.
% 1.26/1.65 (87) {G2,W4,D3,L1,V0,M1} R(23,3) { sorti1( op1( skol1, skol2 ) ) }.
% 1.26/1.65 (208) {G2,W7,D5,L1,V0,M1} R(12,39) { h( j( h( skol2 ) ) ) ==> h( skol2 )
% 1.26/1.65 }.
% 1.26/1.65 (209) {G2,W7,D5,L1,V0,M1} R(12,38) { h( j( h( skol1 ) ) ) ==> h( skol1 )
% 1.26/1.65 }.
% 1.26/1.65 (254) {G1,W5,D4,L1,V0,M1} R(13,2) { j( h( skol1 ) ) ==> skol1 }.
% 1.26/1.65 (255) {G1,W5,D4,L1,V0,M1} R(13,3) { j( h( skol2 ) ) ==> skol2 }.
% 1.26/1.65 (296) {G3,W8,D4,L1,V0,M1} R(19,41);d(209);d(254);d(4) { op2( h( skol1 ), h
% 1.26/1.65 ( skol1 ) ) ==> h( skol2 ) }.
% 1.26/1.65 (297) {G3,W8,D4,L1,V0,M1} R(19,42);d(208);d(255);d(5) { op2( h( skol2 ), h
% 1.26/1.65 ( skol2 ) ) ==> h( skol1 ) }.
% 1.26/1.65 (1208) {G4,W8,D4,L1,V0,M1} P(296,17);d(297);q;r(38) { op2( h( skol1 ), h(
% 1.26/1.65 skol2 ) ) ==> h( skol1 ) }.
% 1.26/1.65 (1211) {G5,W9,D4,L2,V0,M2} P(1208,10);r(2) { ! sorti1( skol2 ), h( op1(
% 1.26/1.65 skol1, skol2 ) ) ==> h( skol1 ) }.
% 1.26/1.65 (6707) {G6,W7,D4,L1,V0,M1} S(1211);r(3) { h( op1( skol1, skol2 ) ) ==> h(
% 1.26/1.65 skol1 ) }.
% 1.26/1.65 (6709) {G7,W5,D3,L1,V0,M1} P(6707,13);d(254);r(87) { op1( skol1, skol2 )
% 1.26/1.65 ==> skol1 }.
% 1.26/1.65 (6710) {G8,W0,D0,L0,V0,M0} S(6709);r(6) { }.
% 1.26/1.65
% 1.26/1.65
% 1.26/1.65 % SZS output end Refutation
% 1.26/1.65 found a proof!
% 1.26/1.65
% 1.26/1.65
% 1.26/1.65 Unprocessed initial clauses:
% 1.26/1.65
% 1.26/1.65 (6712) {G0,W8,D3,L3,V2,M3} { ! sorti1( X ), ! sorti1( Y ), sorti1( op1( X
% 1.26/1.65 , Y ) ) }.
% 1.26/1.65 (6713) {G0,W8,D3,L3,V2,M3} { ! sorti2( X ), ! sorti2( Y ), sorti2( op2( X
% 1.26/1.65 , Y ) ) }.
% 1.26/1.65 (6714) {G0,W2,D2,L1,V0,M1} { sorti1( skol1 ) }.
% 1.26/1.65 (6715) {G0,W2,D2,L1,V0,M1} { sorti1( skol2 ) }.
% 1.26/1.65 (6716) {G0,W5,D3,L1,V0,M1} { op1( skol1, skol1 ) = skol2 }.
% 1.26/1.65 (6717) {G0,W5,D3,L1,V0,M1} { op1( skol2, skol2 ) = skol1 }.
% 1.26/1.65 (6718) {G0,W5,D3,L1,V0,M1} { ! op1( skol1, skol2 ) = skol1 }.
% 1.26/1.65 (6719) {G0,W19,D3,L5,V2,M5} { ! sorti2( X ), ! sorti2( Y ), ! op2( X, X )
% 1.26/1.65 = Y, ! op2( Y, Y ) = X, op2( X, Y ) = X }.
% 1.26/1.65 (6720) {G0,W5,D3,L2,V1,M2} { ! sorti1( X ), sorti2( h( X ) ) }.
% 1.26/1.65 (6721) {G0,W5,D3,L2,V1,M2} { ! sorti2( X ), sorti1( j( X ) ) }.
% 1.26/1.65 (6722) {G0,W14,D4,L3,V2,M3} { ! sorti1( X ), ! sorti1( Y ), h( op1( X, Y )
% 1.26/1.65 ) = op2( h( X ), h( Y ) ) }.
% 1.26/1.65 (6723) {G0,W14,D4,L3,V2,M3} { ! sorti2( X ), ! sorti2( Y ), j( op2( X, Y )
% 1.26/1.65 ) = op1( j( X ), j( Y ) ) }.
% 1.26/1.65 (6724) {G0,W7,D4,L2,V1,M2} { ! sorti2( X ), h( j( X ) ) = X }.
% 1.26/1.65 (6725) {G0,W7,D4,L2,V1,M2} { ! sorti1( X ), j( h( X ) ) = X }.
% 1.26/1.65
% 1.26/1.65
% 1.26/1.65 Total Proof:
% 1.26/1.65
% 1.26/1.65 subsumption: (0) {G0,W8,D3,L3,V2,M3} I { ! sorti1( X ), ! sorti1( Y ),
% 1.26/1.65 sorti1( op1( X, Y ) ) }.
% 1.26/1.65 parent0: (6712) {G0,W8,D3,L3,V2,M3} { ! sorti1( X ), ! sorti1( Y ), sorti1
% 1.26/1.65 ( op1( X, Y ) ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 X := X
% 1.26/1.65 Y := Y
% 1.26/1.65 end
% 1.26/1.65 permutation0:
% 1.26/1.65 0 ==> 0
% 1.26/1.65 1 ==> 1
% 1.26/1.65 2 ==> 2
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 subsumption: (1) {G0,W8,D3,L3,V2,M3} I { ! sorti2( X ), ! sorti2( Y ),
% 1.26/1.65 sorti2( op2( X, Y ) ) }.
% 1.26/1.65 parent0: (6713) {G0,W8,D3,L3,V2,M3} { ! sorti2( X ), ! sorti2( Y ), sorti2
% 1.26/1.65 ( op2( X, Y ) ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 X := X
% 1.26/1.65 Y := Y
% 1.26/1.65 end
% 1.26/1.65 permutation0:
% 1.26/1.65 0 ==> 0
% 1.26/1.65 1 ==> 1
% 1.26/1.65 2 ==> 2
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 subsumption: (2) {G0,W2,D2,L1,V0,M1} I { sorti1( skol1 ) }.
% 1.26/1.65 parent0: (6714) {G0,W2,D2,L1,V0,M1} { sorti1( skol1 ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 end
% 1.26/1.65 permutation0:
% 1.26/1.65 0 ==> 0
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 subsumption: (3) {G0,W2,D2,L1,V0,M1} I { sorti1( skol2 ) }.
% 1.26/1.65 parent0: (6715) {G0,W2,D2,L1,V0,M1} { sorti1( skol2 ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 end
% 1.26/1.65 permutation0:
% 1.26/1.65 0 ==> 0
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 subsumption: (4) {G0,W5,D3,L1,V0,M1} I { op1( skol1, skol1 ) ==> skol2 }.
% 1.26/1.65 parent0: (6716) {G0,W5,D3,L1,V0,M1} { op1( skol1, skol1 ) = skol2 }.
% 1.26/1.65 substitution0:
% 1.26/1.65 end
% 1.26/1.65 permutation0:
% 1.26/1.65 0 ==> 0
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 subsumption: (5) {G0,W5,D3,L1,V0,M1} I { op1( skol2, skol2 ) ==> skol1 }.
% 1.26/1.65 parent0: (6717) {G0,W5,D3,L1,V0,M1} { op1( skol2, skol2 ) = skol1 }.
% 1.26/1.65 substitution0:
% 1.26/1.65 end
% 1.26/1.65 permutation0:
% 1.26/1.65 0 ==> 0
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 subsumption: (6) {G0,W5,D3,L1,V0,M1} I { ! op1( skol1, skol2 ) ==> skol1
% 1.26/1.65 }.
% 1.26/1.65 parent0: (6718) {G0,W5,D3,L1,V0,M1} { ! op1( skol1, skol2 ) = skol1 }.
% 1.26/1.65 substitution0:
% 1.26/1.65 end
% 1.26/1.65 permutation0:
% 1.26/1.65 0 ==> 0
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 subsumption: (7) {G0,W19,D3,L5,V2,M5} I { ! sorti2( X ), ! sorti2( Y ), !
% 1.26/1.65 op2( X, X ) = Y, ! op2( Y, Y ) = X, op2( X, Y ) ==> X }.
% 1.26/1.65 parent0: (6719) {G0,W19,D3,L5,V2,M5} { ! sorti2( X ), ! sorti2( Y ), ! op2
% 1.26/1.65 ( X, X ) = Y, ! op2( Y, Y ) = X, op2( X, Y ) = X }.
% 1.26/1.65 substitution0:
% 1.26/1.65 X := X
% 1.26/1.65 Y := Y
% 1.26/1.65 end
% 1.26/1.65 permutation0:
% 1.26/1.65 0 ==> 0
% 1.26/1.65 1 ==> 1
% 1.26/1.65 2 ==> 2
% 1.26/1.65 3 ==> 3
% 1.26/1.65 4 ==> 4
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 subsumption: (8) {G0,W5,D3,L2,V1,M2} I { ! sorti1( X ), sorti2( h( X ) )
% 1.26/1.65 }.
% 1.26/1.65 parent0: (6720) {G0,W5,D3,L2,V1,M2} { ! sorti1( X ), sorti2( h( X ) ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 X := X
% 1.26/1.65 end
% 1.26/1.65 permutation0:
% 1.26/1.65 0 ==> 0
% 1.26/1.65 1 ==> 1
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 subsumption: (9) {G0,W5,D3,L2,V1,M2} I { ! sorti2( X ), sorti1( j( X ) )
% 1.26/1.65 }.
% 1.26/1.65 parent0: (6721) {G0,W5,D3,L2,V1,M2} { ! sorti2( X ), sorti1( j( X ) ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 X := X
% 1.26/1.65 end
% 1.26/1.65 permutation0:
% 1.26/1.65 0 ==> 0
% 1.26/1.65 1 ==> 1
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 eqswap: (6833) {G0,W14,D4,L3,V2,M3} { op2( h( X ), h( Y ) ) = h( op1( X, Y
% 1.26/1.65 ) ), ! sorti1( X ), ! sorti1( Y ) }.
% 1.26/1.65 parent0[2]: (6722) {G0,W14,D4,L3,V2,M3} { ! sorti1( X ), ! sorti1( Y ), h
% 1.26/1.65 ( op1( X, Y ) ) = op2( h( X ), h( Y ) ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 X := X
% 1.26/1.65 Y := Y
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 subsumption: (10) {G0,W14,D4,L3,V2,M3} I { ! sorti1( X ), ! sorti1( Y ),
% 1.26/1.65 op2( h( X ), h( Y ) ) ==> h( op1( X, Y ) ) }.
% 1.26/1.65 parent0: (6833) {G0,W14,D4,L3,V2,M3} { op2( h( X ), h( Y ) ) = h( op1( X,
% 1.26/1.65 Y ) ), ! sorti1( X ), ! sorti1( Y ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 X := X
% 1.26/1.65 Y := Y
% 1.26/1.65 end
% 1.26/1.65 permutation0:
% 1.26/1.65 0 ==> 2
% 1.26/1.65 1 ==> 0
% 1.26/1.65 2 ==> 1
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 subsumption: (12) {G0,W7,D4,L2,V1,M2} I { ! sorti2( X ), h( j( X ) ) ==> X
% 1.26/1.65 }.
% 1.26/1.65 parent0: (6724) {G0,W7,D4,L2,V1,M2} { ! sorti2( X ), h( j( X ) ) = X }.
% 1.26/1.65 substitution0:
% 1.26/1.65 X := X
% 1.26/1.65 end
% 1.26/1.65 permutation0:
% 1.26/1.65 0 ==> 0
% 1.26/1.65 1 ==> 1
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 subsumption: (13) {G0,W7,D4,L2,V1,M2} I { ! sorti1( X ), j( h( X ) ) ==> X
% 1.26/1.65 }.
% 1.26/1.65 parent0: (6725) {G0,W7,D4,L2,V1,M2} { ! sorti1( X ), j( h( X ) ) = X }.
% 1.26/1.65 substitution0:
% 1.26/1.65 X := X
% 1.26/1.65 end
% 1.26/1.65 permutation0:
% 1.26/1.65 0 ==> 0
% 1.26/1.65 1 ==> 1
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 eqswap: (6895) {G0,W19,D3,L5,V2,M5} { ! Y = op2( X, X ), ! sorti2( X ), !
% 1.26/1.65 sorti2( Y ), ! op2( Y, Y ) = X, op2( X, Y ) ==> X }.
% 1.26/1.65 parent0[2]: (7) {G0,W19,D3,L5,V2,M5} I { ! sorti2( X ), ! sorti2( Y ), !
% 1.26/1.65 op2( X, X ) = Y, ! op2( Y, Y ) = X, op2( X, Y ) ==> X }.
% 1.26/1.65 substitution0:
% 1.26/1.65 X := X
% 1.26/1.65 Y := Y
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 eqrefl: (6902) {G0,W22,D4,L4,V1,M4} { ! sorti2( X ), ! sorti2( op2( X, X )
% 1.26/1.65 ), ! op2( op2( X, X ), op2( X, X ) ) = X, op2( X, op2( X, X ) ) ==> X
% 1.26/1.65 }.
% 1.26/1.65 parent0[0]: (6895) {G0,W19,D3,L5,V2,M5} { ! Y = op2( X, X ), ! sorti2( X )
% 1.26/1.65 , ! sorti2( Y ), ! op2( Y, Y ) = X, op2( X, Y ) ==> X }.
% 1.26/1.65 substitution0:
% 1.26/1.65 X := X
% 1.26/1.65 Y := op2( X, X )
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 resolution: (6904) {G1,W22,D4,L5,V1,M5} { ! sorti2( X ), ! op2( op2( X, X
% 1.26/1.65 ), op2( X, X ) ) = X, op2( X, op2( X, X ) ) ==> X, ! sorti2( X ), !
% 1.26/1.65 sorti2( X ) }.
% 1.26/1.65 parent0[1]: (6902) {G0,W22,D4,L4,V1,M4} { ! sorti2( X ), ! sorti2( op2( X
% 1.26/1.65 , X ) ), ! op2( op2( X, X ), op2( X, X ) ) = X, op2( X, op2( X, X ) ) ==>
% 1.26/1.65 X }.
% 1.26/1.65 parent1[2]: (1) {G0,W8,D3,L3,V2,M3} I { ! sorti2( X ), ! sorti2( Y ),
% 1.26/1.65 sorti2( op2( X, Y ) ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 X := X
% 1.26/1.65 end
% 1.26/1.65 substitution1:
% 1.26/1.65 X := X
% 1.26/1.65 Y := X
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 factor: (6914) {G1,W20,D4,L4,V1,M4} { ! sorti2( X ), ! op2( op2( X, X ),
% 1.26/1.65 op2( X, X ) ) = X, op2( X, op2( X, X ) ) ==> X, ! sorti2( X ) }.
% 1.26/1.65 parent0[0, 3]: (6904) {G1,W22,D4,L5,V1,M5} { ! sorti2( X ), ! op2( op2( X
% 1.26/1.65 , X ), op2( X, X ) ) = X, op2( X, op2( X, X ) ) ==> X, ! sorti2( X ), !
% 1.26/1.65 sorti2( X ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 X := X
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 factor: (6915) {G1,W18,D4,L3,V1,M3} { ! sorti2( X ), ! op2( op2( X, X ),
% 1.26/1.65 op2( X, X ) ) = X, op2( X, op2( X, X ) ) ==> X }.
% 1.26/1.65 parent0[0, 3]: (6914) {G1,W20,D4,L4,V1,M4} { ! sorti2( X ), ! op2( op2( X
% 1.26/1.65 , X ), op2( X, X ) ) = X, op2( X, op2( X, X ) ) ==> X, ! sorti2( X ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 X := X
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 subsumption: (17) {G1,W18,D4,L3,V1,M3} Q(7);r(1) { ! sorti2( X ), ! op2(
% 1.26/1.65 op2( X, X ), op2( X, X ) ) ==> X, op2( X, op2( X, X ) ) ==> X }.
% 1.26/1.65 parent0: (6915) {G1,W18,D4,L3,V1,M3} { ! sorti2( X ), ! op2( op2( X, X ),
% 1.26/1.65 op2( X, X ) ) = X, op2( X, op2( X, X ) ) ==> X }.
% 1.26/1.65 substitution0:
% 1.26/1.65 X := X
% 1.26/1.65 end
% 1.26/1.65 permutation0:
% 1.26/1.65 0 ==> 0
% 1.26/1.65 1 ==> 1
% 1.26/1.65 2 ==> 2
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 factor: (6917) {G0,W12,D4,L2,V1,M2} { ! sorti1( X ), op2( h( X ), h( X ) )
% 1.26/1.65 ==> h( op1( X, X ) ) }.
% 1.26/1.65 parent0[0, 1]: (10) {G0,W14,D4,L3,V2,M3} I { ! sorti1( X ), ! sorti1( Y ),
% 1.26/1.65 op2( h( X ), h( Y ) ) ==> h( op1( X, Y ) ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 X := X
% 1.26/1.65 Y := X
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 subsumption: (19) {G1,W12,D4,L2,V1,M2} F(10) { ! sorti1( X ), op2( h( X ),
% 1.26/1.65 h( X ) ) ==> h( op1( X, X ) ) }.
% 1.26/1.65 parent0: (6917) {G0,W12,D4,L2,V1,M2} { ! sorti1( X ), op2( h( X ), h( X )
% 1.26/1.65 ) ==> h( op1( X, X ) ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 X := X
% 1.26/1.65 end
% 1.26/1.65 permutation0:
% 1.26/1.65 0 ==> 0
% 1.26/1.65 1 ==> 1
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 resolution: (6919) {G1,W6,D3,L2,V1,M2} { ! sorti1( X ), sorti1( op1( skol1
% 1.26/1.65 , X ) ) }.
% 1.26/1.65 parent0[0]: (0) {G0,W8,D3,L3,V2,M3} I { ! sorti1( X ), ! sorti1( Y ),
% 1.26/1.65 sorti1( op1( X, Y ) ) }.
% 1.26/1.65 parent1[0]: (2) {G0,W2,D2,L1,V0,M1} I { sorti1( skol1 ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 X := skol1
% 1.26/1.65 Y := X
% 1.26/1.65 end
% 1.26/1.65 substitution1:
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 subsumption: (23) {G1,W6,D3,L2,V1,M2} R(0,2) { ! sorti1( X ), sorti1( op1(
% 1.26/1.65 skol1, X ) ) }.
% 1.26/1.65 parent0: (6919) {G1,W6,D3,L2,V1,M2} { ! sorti1( X ), sorti1( op1( skol1, X
% 1.26/1.65 ) ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 X := X
% 1.26/1.65 end
% 1.26/1.65 permutation0:
% 1.26/1.65 0 ==> 0
% 1.26/1.65 1 ==> 1
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 resolution: (6921) {G1,W3,D3,L1,V0,M1} { sorti2( h( skol1 ) ) }.
% 1.26/1.65 parent0[0]: (8) {G0,W5,D3,L2,V1,M2} I { ! sorti1( X ), sorti2( h( X ) ) }.
% 1.26/1.65 parent1[0]: (2) {G0,W2,D2,L1,V0,M1} I { sorti1( skol1 ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 X := skol1
% 1.26/1.65 end
% 1.26/1.65 substitution1:
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 subsumption: (38) {G1,W3,D3,L1,V0,M1} R(8,2) { sorti2( h( skol1 ) ) }.
% 1.26/1.65 parent0: (6921) {G1,W3,D3,L1,V0,M1} { sorti2( h( skol1 ) ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 end
% 1.26/1.65 permutation0:
% 1.26/1.65 0 ==> 0
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 resolution: (6922) {G1,W3,D3,L1,V0,M1} { sorti2( h( skol2 ) ) }.
% 1.26/1.65 parent0[0]: (8) {G0,W5,D3,L2,V1,M2} I { ! sorti1( X ), sorti2( h( X ) ) }.
% 1.26/1.65 parent1[0]: (3) {G0,W2,D2,L1,V0,M1} I { sorti1( skol2 ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 X := skol2
% 1.26/1.65 end
% 1.26/1.65 substitution1:
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 subsumption: (39) {G1,W3,D3,L1,V0,M1} R(8,3) { sorti2( h( skol2 ) ) }.
% 1.26/1.65 parent0: (6922) {G1,W3,D3,L1,V0,M1} { sorti2( h( skol2 ) ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 end
% 1.26/1.65 permutation0:
% 1.26/1.65 0 ==> 0
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 resolution: (6923) {G1,W4,D4,L1,V0,M1} { sorti1( j( h( skol1 ) ) ) }.
% 1.26/1.65 parent0[0]: (9) {G0,W5,D3,L2,V1,M2} I { ! sorti2( X ), sorti1( j( X ) ) }.
% 1.26/1.65 parent1[0]: (38) {G1,W3,D3,L1,V0,M1} R(8,2) { sorti2( h( skol1 ) ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 X := h( skol1 )
% 1.26/1.65 end
% 1.26/1.65 substitution1:
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 subsumption: (41) {G2,W4,D4,L1,V0,M1} R(38,9) { sorti1( j( h( skol1 ) ) )
% 1.26/1.65 }.
% 1.26/1.65 parent0: (6923) {G1,W4,D4,L1,V0,M1} { sorti1( j( h( skol1 ) ) ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 end
% 1.26/1.65 permutation0:
% 1.26/1.65 0 ==> 0
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 resolution: (6924) {G1,W4,D4,L1,V0,M1} { sorti1( j( h( skol2 ) ) ) }.
% 1.26/1.65 parent0[0]: (9) {G0,W5,D3,L2,V1,M2} I { ! sorti2( X ), sorti1( j( X ) ) }.
% 1.26/1.65 parent1[0]: (39) {G1,W3,D3,L1,V0,M1} R(8,3) { sorti2( h( skol2 ) ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 X := h( skol2 )
% 1.26/1.65 end
% 1.26/1.65 substitution1:
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 subsumption: (42) {G2,W4,D4,L1,V0,M1} R(39,9) { sorti1( j( h( skol2 ) ) )
% 1.26/1.65 }.
% 1.26/1.65 parent0: (6924) {G1,W4,D4,L1,V0,M1} { sorti1( j( h( skol2 ) ) ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 end
% 1.26/1.65 permutation0:
% 1.26/1.65 0 ==> 0
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 resolution: (6925) {G1,W4,D3,L1,V0,M1} { sorti1( op1( skol1, skol2 ) ) }.
% 1.26/1.65 parent0[0]: (23) {G1,W6,D3,L2,V1,M2} R(0,2) { ! sorti1( X ), sorti1( op1(
% 1.26/1.65 skol1, X ) ) }.
% 1.26/1.65 parent1[0]: (3) {G0,W2,D2,L1,V0,M1} I { sorti1( skol2 ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 X := skol2
% 1.26/1.65 end
% 1.26/1.65 substitution1:
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 subsumption: (87) {G2,W4,D3,L1,V0,M1} R(23,3) { sorti1( op1( skol1, skol2 )
% 1.26/1.65 ) }.
% 1.26/1.65 parent0: (6925) {G1,W4,D3,L1,V0,M1} { sorti1( op1( skol1, skol2 ) ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 end
% 1.26/1.65 permutation0:
% 1.26/1.65 0 ==> 0
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 eqswap: (6926) {G0,W7,D4,L2,V1,M2} { X ==> h( j( X ) ), ! sorti2( X ) }.
% 1.26/1.65 parent0[1]: (12) {G0,W7,D4,L2,V1,M2} I { ! sorti2( X ), h( j( X ) ) ==> X
% 1.26/1.65 }.
% 1.26/1.65 substitution0:
% 1.26/1.65 X := X
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 resolution: (6927) {G1,W7,D5,L1,V0,M1} { h( skol2 ) ==> h( j( h( skol2 ) )
% 1.26/1.65 ) }.
% 1.26/1.65 parent0[1]: (6926) {G0,W7,D4,L2,V1,M2} { X ==> h( j( X ) ), ! sorti2( X )
% 1.26/1.65 }.
% 1.26/1.65 parent1[0]: (39) {G1,W3,D3,L1,V0,M1} R(8,3) { sorti2( h( skol2 ) ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 X := h( skol2 )
% 1.26/1.65 end
% 1.26/1.65 substitution1:
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 eqswap: (6928) {G1,W7,D5,L1,V0,M1} { h( j( h( skol2 ) ) ) ==> h( skol2 )
% 1.26/1.65 }.
% 1.26/1.65 parent0[0]: (6927) {G1,W7,D5,L1,V0,M1} { h( skol2 ) ==> h( j( h( skol2 ) )
% 1.26/1.65 ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 subsumption: (208) {G2,W7,D5,L1,V0,M1} R(12,39) { h( j( h( skol2 ) ) ) ==>
% 1.26/1.65 h( skol2 ) }.
% 1.26/1.65 parent0: (6928) {G1,W7,D5,L1,V0,M1} { h( j( h( skol2 ) ) ) ==> h( skol2 )
% 1.26/1.65 }.
% 1.26/1.65 substitution0:
% 1.26/1.65 end
% 1.26/1.65 permutation0:
% 1.26/1.65 0 ==> 0
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 eqswap: (6929) {G0,W7,D4,L2,V1,M2} { X ==> h( j( X ) ), ! sorti2( X ) }.
% 1.26/1.65 parent0[1]: (12) {G0,W7,D4,L2,V1,M2} I { ! sorti2( X ), h( j( X ) ) ==> X
% 1.26/1.65 }.
% 1.26/1.65 substitution0:
% 1.26/1.65 X := X
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 resolution: (6930) {G1,W7,D5,L1,V0,M1} { h( skol1 ) ==> h( j( h( skol1 ) )
% 1.26/1.65 ) }.
% 1.26/1.65 parent0[1]: (6929) {G0,W7,D4,L2,V1,M2} { X ==> h( j( X ) ), ! sorti2( X )
% 1.26/1.65 }.
% 1.26/1.65 parent1[0]: (38) {G1,W3,D3,L1,V0,M1} R(8,2) { sorti2( h( skol1 ) ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 X := h( skol1 )
% 1.26/1.65 end
% 1.26/1.65 substitution1:
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 eqswap: (6931) {G1,W7,D5,L1,V0,M1} { h( j( h( skol1 ) ) ) ==> h( skol1 )
% 1.26/1.65 }.
% 1.26/1.65 parent0[0]: (6930) {G1,W7,D5,L1,V0,M1} { h( skol1 ) ==> h( j( h( skol1 ) )
% 1.26/1.65 ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 subsumption: (209) {G2,W7,D5,L1,V0,M1} R(12,38) { h( j( h( skol1 ) ) ) ==>
% 1.26/1.65 h( skol1 ) }.
% 1.26/1.65 parent0: (6931) {G1,W7,D5,L1,V0,M1} { h( j( h( skol1 ) ) ) ==> h( skol1 )
% 1.26/1.65 }.
% 1.26/1.65 substitution0:
% 1.26/1.65 end
% 1.26/1.65 permutation0:
% 1.26/1.65 0 ==> 0
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 eqswap: (6932) {G0,W7,D4,L2,V1,M2} { X ==> j( h( X ) ), ! sorti1( X ) }.
% 1.26/1.65 parent0[1]: (13) {G0,W7,D4,L2,V1,M2} I { ! sorti1( X ), j( h( X ) ) ==> X
% 1.26/1.65 }.
% 1.26/1.65 substitution0:
% 1.26/1.65 X := X
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 resolution: (6933) {G1,W5,D4,L1,V0,M1} { skol1 ==> j( h( skol1 ) ) }.
% 1.26/1.65 parent0[1]: (6932) {G0,W7,D4,L2,V1,M2} { X ==> j( h( X ) ), ! sorti1( X )
% 1.26/1.65 }.
% 1.26/1.65 parent1[0]: (2) {G0,W2,D2,L1,V0,M1} I { sorti1( skol1 ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 X := skol1
% 1.26/1.65 end
% 1.26/1.65 substitution1:
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 eqswap: (6934) {G1,W5,D4,L1,V0,M1} { j( h( skol1 ) ) ==> skol1 }.
% 1.26/1.65 parent0[0]: (6933) {G1,W5,D4,L1,V0,M1} { skol1 ==> j( h( skol1 ) ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 subsumption: (254) {G1,W5,D4,L1,V0,M1} R(13,2) { j( h( skol1 ) ) ==> skol1
% 1.26/1.65 }.
% 1.26/1.65 parent0: (6934) {G1,W5,D4,L1,V0,M1} { j( h( skol1 ) ) ==> skol1 }.
% 1.26/1.65 substitution0:
% 1.26/1.65 end
% 1.26/1.65 permutation0:
% 1.26/1.65 0 ==> 0
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 eqswap: (6935) {G0,W7,D4,L2,V1,M2} { X ==> j( h( X ) ), ! sorti1( X ) }.
% 1.26/1.65 parent0[1]: (13) {G0,W7,D4,L2,V1,M2} I { ! sorti1( X ), j( h( X ) ) ==> X
% 1.26/1.65 }.
% 1.26/1.65 substitution0:
% 1.26/1.65 X := X
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 resolution: (6936) {G1,W5,D4,L1,V0,M1} { skol2 ==> j( h( skol2 ) ) }.
% 1.26/1.65 parent0[1]: (6935) {G0,W7,D4,L2,V1,M2} { X ==> j( h( X ) ), ! sorti1( X )
% 1.26/1.65 }.
% 1.26/1.65 parent1[0]: (3) {G0,W2,D2,L1,V0,M1} I { sorti1( skol2 ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 X := skol2
% 1.26/1.65 end
% 1.26/1.65 substitution1:
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 eqswap: (6937) {G1,W5,D4,L1,V0,M1} { j( h( skol2 ) ) ==> skol2 }.
% 1.26/1.65 parent0[0]: (6936) {G1,W5,D4,L1,V0,M1} { skol2 ==> j( h( skol2 ) ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 subsumption: (255) {G1,W5,D4,L1,V0,M1} R(13,3) { j( h( skol2 ) ) ==> skol2
% 1.26/1.65 }.
% 1.26/1.65 parent0: (6937) {G1,W5,D4,L1,V0,M1} { j( h( skol2 ) ) ==> skol2 }.
% 1.26/1.65 substitution0:
% 1.26/1.65 end
% 1.26/1.65 permutation0:
% 1.26/1.65 0 ==> 0
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 eqswap: (6938) {G1,W12,D4,L2,V1,M2} { h( op1( X, X ) ) ==> op2( h( X ), h
% 1.26/1.65 ( X ) ), ! sorti1( X ) }.
% 1.26/1.65 parent0[1]: (19) {G1,W12,D4,L2,V1,M2} F(10) { ! sorti1( X ), op2( h( X ), h
% 1.26/1.65 ( X ) ) ==> h( op1( X, X ) ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 X := X
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 resolution: (6942) {G2,W18,D6,L1,V0,M1} { h( op1( j( h( skol1 ) ), j( h(
% 1.26/1.65 skol1 ) ) ) ) ==> op2( h( j( h( skol1 ) ) ), h( j( h( skol1 ) ) ) ) }.
% 1.26/1.65 parent0[1]: (6938) {G1,W12,D4,L2,V1,M2} { h( op1( X, X ) ) ==> op2( h( X )
% 1.26/1.65 , h( X ) ), ! sorti1( X ) }.
% 1.26/1.65 parent1[0]: (41) {G2,W4,D4,L1,V0,M1} R(38,9) { sorti1( j( h( skol1 ) ) )
% 1.26/1.65 }.
% 1.26/1.65 substitution0:
% 1.26/1.65 X := j( h( skol1 ) )
% 1.26/1.65 end
% 1.26/1.65 substitution1:
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 paramod: (6944) {G3,W16,D6,L1,V0,M1} { h( op1( j( h( skol1 ) ), j( h(
% 1.26/1.65 skol1 ) ) ) ) ==> op2( h( j( h( skol1 ) ) ), h( skol1 ) ) }.
% 1.26/1.65 parent0[0]: (209) {G2,W7,D5,L1,V0,M1} R(12,38) { h( j( h( skol1 ) ) ) ==> h
% 1.26/1.65 ( skol1 ) }.
% 1.26/1.65 parent1[0; 14]: (6942) {G2,W18,D6,L1,V0,M1} { h( op1( j( h( skol1 ) ), j(
% 1.26/1.65 h( skol1 ) ) ) ) ==> op2( h( j( h( skol1 ) ) ), h( j( h( skol1 ) ) ) )
% 1.26/1.65 }.
% 1.26/1.65 substitution0:
% 1.26/1.65 end
% 1.26/1.65 substitution1:
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 paramod: (6948) {G2,W14,D6,L1,V0,M1} { h( op1( j( h( skol1 ) ), j( h(
% 1.26/1.65 skol1 ) ) ) ) ==> op2( h( skol1 ), h( skol1 ) ) }.
% 1.26/1.65 parent0[0]: (254) {G1,W5,D4,L1,V0,M1} R(13,2) { j( h( skol1 ) ) ==> skol1
% 1.26/1.65 }.
% 1.26/1.65 parent1[0; 11]: (6944) {G3,W16,D6,L1,V0,M1} { h( op1( j( h( skol1 ) ), j(
% 1.26/1.65 h( skol1 ) ) ) ) ==> op2( h( j( h( skol1 ) ) ), h( skol1 ) ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 end
% 1.26/1.65 substitution1:
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 paramod: (6950) {G2,W12,D6,L1,V0,M1} { h( op1( j( h( skol1 ) ), skol1 ) )
% 1.26/1.65 ==> op2( h( skol1 ), h( skol1 ) ) }.
% 1.26/1.65 parent0[0]: (254) {G1,W5,D4,L1,V0,M1} R(13,2) { j( h( skol1 ) ) ==> skol1
% 1.26/1.65 }.
% 1.26/1.65 parent1[0; 6]: (6948) {G2,W14,D6,L1,V0,M1} { h( op1( j( h( skol1 ) ), j( h
% 1.26/1.65 ( skol1 ) ) ) ) ==> op2( h( skol1 ), h( skol1 ) ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 end
% 1.26/1.65 substitution1:
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 paramod: (6951) {G2,W10,D4,L1,V0,M1} { h( op1( skol1, skol1 ) ) ==> op2( h
% 1.26/1.65 ( skol1 ), h( skol1 ) ) }.
% 1.26/1.65 parent0[0]: (254) {G1,W5,D4,L1,V0,M1} R(13,2) { j( h( skol1 ) ) ==> skol1
% 1.26/1.65 }.
% 1.26/1.65 parent1[0; 3]: (6950) {G2,W12,D6,L1,V0,M1} { h( op1( j( h( skol1 ) ),
% 1.26/1.65 skol1 ) ) ==> op2( h( skol1 ), h( skol1 ) ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 end
% 1.26/1.65 substitution1:
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 paramod: (6953) {G1,W8,D4,L1,V0,M1} { h( skol2 ) ==> op2( h( skol1 ), h(
% 1.26/1.65 skol1 ) ) }.
% 1.26/1.65 parent0[0]: (4) {G0,W5,D3,L1,V0,M1} I { op1( skol1, skol1 ) ==> skol2 }.
% 1.26/1.65 parent1[0; 2]: (6951) {G2,W10,D4,L1,V0,M1} { h( op1( skol1, skol1 ) ) ==>
% 1.26/1.65 op2( h( skol1 ), h( skol1 ) ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 end
% 1.26/1.65 substitution1:
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 eqswap: (6954) {G1,W8,D4,L1,V0,M1} { op2( h( skol1 ), h( skol1 ) ) ==> h(
% 1.26/1.65 skol2 ) }.
% 1.26/1.65 parent0[0]: (6953) {G1,W8,D4,L1,V0,M1} { h( skol2 ) ==> op2( h( skol1 ), h
% 1.26/1.65 ( skol1 ) ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 subsumption: (296) {G3,W8,D4,L1,V0,M1} R(19,41);d(209);d(254);d(4) { op2( h
% 1.26/1.65 ( skol1 ), h( skol1 ) ) ==> h( skol2 ) }.
% 1.26/1.65 parent0: (6954) {G1,W8,D4,L1,V0,M1} { op2( h( skol1 ), h( skol1 ) ) ==> h
% 1.26/1.65 ( skol2 ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 end
% 1.26/1.65 permutation0:
% 1.26/1.65 0 ==> 0
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 eqswap: (6955) {G1,W12,D4,L2,V1,M2} { h( op1( X, X ) ) ==> op2( h( X ), h
% 1.26/1.65 ( X ) ), ! sorti1( X ) }.
% 1.26/1.65 parent0[1]: (19) {G1,W12,D4,L2,V1,M2} F(10) { ! sorti1( X ), op2( h( X ), h
% 1.26/1.65 ( X ) ) ==> h( op1( X, X ) ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 X := X
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 resolution: (6959) {G2,W18,D6,L1,V0,M1} { h( op1( j( h( skol2 ) ), j( h(
% 1.26/1.65 skol2 ) ) ) ) ==> op2( h( j( h( skol2 ) ) ), h( j( h( skol2 ) ) ) ) }.
% 1.26/1.65 parent0[1]: (6955) {G1,W12,D4,L2,V1,M2} { h( op1( X, X ) ) ==> op2( h( X )
% 1.26/1.65 , h( X ) ), ! sorti1( X ) }.
% 1.26/1.65 parent1[0]: (42) {G2,W4,D4,L1,V0,M1} R(39,9) { sorti1( j( h( skol2 ) ) )
% 1.26/1.65 }.
% 1.26/1.65 substitution0:
% 1.26/1.65 X := j( h( skol2 ) )
% 1.26/1.65 end
% 1.26/1.65 substitution1:
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 paramod: (6961) {G3,W16,D6,L1,V0,M1} { h( op1( j( h( skol2 ) ), j( h(
% 1.26/1.65 skol2 ) ) ) ) ==> op2( h( j( h( skol2 ) ) ), h( skol2 ) ) }.
% 1.26/1.65 parent0[0]: (208) {G2,W7,D5,L1,V0,M1} R(12,39) { h( j( h( skol2 ) ) ) ==> h
% 1.26/1.65 ( skol2 ) }.
% 1.26/1.65 parent1[0; 14]: (6959) {G2,W18,D6,L1,V0,M1} { h( op1( j( h( skol2 ) ), j(
% 1.26/1.65 h( skol2 ) ) ) ) ==> op2( h( j( h( skol2 ) ) ), h( j( h( skol2 ) ) ) )
% 1.26/1.65 }.
% 1.26/1.65 substitution0:
% 1.26/1.65 end
% 1.26/1.65 substitution1:
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 paramod: (6965) {G2,W14,D6,L1,V0,M1} { h( op1( j( h( skol2 ) ), j( h(
% 1.26/1.65 skol2 ) ) ) ) ==> op2( h( skol2 ), h( skol2 ) ) }.
% 1.26/1.65 parent0[0]: (255) {G1,W5,D4,L1,V0,M1} R(13,3) { j( h( skol2 ) ) ==> skol2
% 1.26/1.65 }.
% 1.26/1.65 parent1[0; 11]: (6961) {G3,W16,D6,L1,V0,M1} { h( op1( j( h( skol2 ) ), j(
% 1.26/1.65 h( skol2 ) ) ) ) ==> op2( h( j( h( skol2 ) ) ), h( skol2 ) ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 end
% 1.26/1.65 substitution1:
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 paramod: (6967) {G2,W12,D6,L1,V0,M1} { h( op1( j( h( skol2 ) ), skol2 ) )
% 1.26/1.65 ==> op2( h( skol2 ), h( skol2 ) ) }.
% 1.26/1.65 parent0[0]: (255) {G1,W5,D4,L1,V0,M1} R(13,3) { j( h( skol2 ) ) ==> skol2
% 1.26/1.65 }.
% 1.26/1.65 parent1[0; 6]: (6965) {G2,W14,D6,L1,V0,M1} { h( op1( j( h( skol2 ) ), j( h
% 1.26/1.65 ( skol2 ) ) ) ) ==> op2( h( skol2 ), h( skol2 ) ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 end
% 1.26/1.65 substitution1:
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 paramod: (6968) {G2,W10,D4,L1,V0,M1} { h( op1( skol2, skol2 ) ) ==> op2( h
% 1.26/1.65 ( skol2 ), h( skol2 ) ) }.
% 1.26/1.65 parent0[0]: (255) {G1,W5,D4,L1,V0,M1} R(13,3) { j( h( skol2 ) ) ==> skol2
% 1.26/1.65 }.
% 1.26/1.65 parent1[0; 3]: (6967) {G2,W12,D6,L1,V0,M1} { h( op1( j( h( skol2 ) ),
% 1.26/1.65 skol2 ) ) ==> op2( h( skol2 ), h( skol2 ) ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 end
% 1.26/1.65 substitution1:
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 paramod: (6970) {G1,W8,D4,L1,V0,M1} { h( skol1 ) ==> op2( h( skol2 ), h(
% 1.26/1.65 skol2 ) ) }.
% 1.26/1.65 parent0[0]: (5) {G0,W5,D3,L1,V0,M1} I { op1( skol2, skol2 ) ==> skol1 }.
% 1.26/1.65 parent1[0; 2]: (6968) {G2,W10,D4,L1,V0,M1} { h( op1( skol2, skol2 ) ) ==>
% 1.26/1.65 op2( h( skol2 ), h( skol2 ) ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 end
% 1.26/1.65 substitution1:
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 eqswap: (6971) {G1,W8,D4,L1,V0,M1} { op2( h( skol2 ), h( skol2 ) ) ==> h(
% 1.26/1.65 skol1 ) }.
% 1.26/1.65 parent0[0]: (6970) {G1,W8,D4,L1,V0,M1} { h( skol1 ) ==> op2( h( skol2 ), h
% 1.26/1.65 ( skol2 ) ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 subsumption: (297) {G3,W8,D4,L1,V0,M1} R(19,42);d(208);d(255);d(5) { op2( h
% 1.26/1.65 ( skol2 ), h( skol2 ) ) ==> h( skol1 ) }.
% 1.26/1.65 parent0: (6971) {G1,W8,D4,L1,V0,M1} { op2( h( skol2 ), h( skol2 ) ) ==> h
% 1.26/1.65 ( skol1 ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 end
% 1.26/1.65 permutation0:
% 1.26/1.65 0 ==> 0
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 eqswap: (6973) {G1,W18,D4,L3,V1,M3} { ! X ==> op2( op2( X, X ), op2( X, X
% 1.26/1.65 ) ), ! sorti2( X ), op2( X, op2( X, X ) ) ==> X }.
% 1.26/1.65 parent0[1]: (17) {G1,W18,D4,L3,V1,M3} Q(7);r(1) { ! sorti2( X ), ! op2( op2
% 1.26/1.65 ( X, X ), op2( X, X ) ) ==> X, op2( X, op2( X, X ) ) ==> X }.
% 1.26/1.65 substitution0:
% 1.26/1.65 X := X
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 paramod: (6979) {G2,W25,D5,L3,V0,M3} { op2( h( skol1 ), h( skol2 ) ) ==> h
% 1.26/1.65 ( skol1 ), ! h( skol1 ) ==> op2( op2( h( skol1 ), h( skol1 ) ), op2( h(
% 1.26/1.65 skol1 ), h( skol1 ) ) ), ! sorti2( h( skol1 ) ) }.
% 1.26/1.65 parent0[0]: (296) {G3,W8,D4,L1,V0,M1} R(19,41);d(209);d(254);d(4) { op2( h
% 1.26/1.65 ( skol1 ), h( skol1 ) ) ==> h( skol2 ) }.
% 1.26/1.65 parent1[2; 4]: (6973) {G1,W18,D4,L3,V1,M3} { ! X ==> op2( op2( X, X ), op2
% 1.26/1.65 ( X, X ) ), ! sorti2( X ), op2( X, op2( X, X ) ) ==> X }.
% 1.26/1.65 substitution0:
% 1.26/1.65 end
% 1.26/1.65 substitution1:
% 1.26/1.65 X := h( skol1 )
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 paramod: (6981) {G3,W22,D5,L3,V0,M3} { ! h( skol1 ) ==> op2( op2( h( skol1
% 1.26/1.65 ), h( skol1 ) ), h( skol2 ) ), op2( h( skol1 ), h( skol2 ) ) ==> h(
% 1.26/1.65 skol1 ), ! sorti2( h( skol1 ) ) }.
% 1.26/1.65 parent0[0]: (296) {G3,W8,D4,L1,V0,M1} R(19,41);d(209);d(254);d(4) { op2( h
% 1.26/1.65 ( skol1 ), h( skol1 ) ) ==> h( skol2 ) }.
% 1.26/1.65 parent1[1; 10]: (6979) {G2,W25,D5,L3,V0,M3} { op2( h( skol1 ), h( skol2 )
% 1.26/1.65 ) ==> h( skol1 ), ! h( skol1 ) ==> op2( op2( h( skol1 ), h( skol1 ) ),
% 1.26/1.65 op2( h( skol1 ), h( skol1 ) ) ), ! sorti2( h( skol1 ) ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 end
% 1.26/1.65 substitution1:
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 paramod: (6982) {G4,W19,D4,L3,V0,M3} { ! h( skol1 ) ==> op2( h( skol2 ), h
% 1.26/1.65 ( skol2 ) ), op2( h( skol1 ), h( skol2 ) ) ==> h( skol1 ), ! sorti2( h(
% 1.26/1.65 skol1 ) ) }.
% 1.26/1.65 parent0[0]: (296) {G3,W8,D4,L1,V0,M1} R(19,41);d(209);d(254);d(4) { op2( h
% 1.26/1.65 ( skol1 ), h( skol1 ) ) ==> h( skol2 ) }.
% 1.26/1.65 parent1[0; 5]: (6981) {G3,W22,D5,L3,V0,M3} { ! h( skol1 ) ==> op2( op2( h
% 1.26/1.65 ( skol1 ), h( skol1 ) ), h( skol2 ) ), op2( h( skol1 ), h( skol2 ) ) ==>
% 1.26/1.65 h( skol1 ), ! sorti2( h( skol1 ) ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 end
% 1.26/1.65 substitution1:
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 paramod: (6984) {G4,W16,D4,L3,V0,M3} { ! h( skol1 ) ==> h( skol1 ), op2( h
% 1.26/1.65 ( skol1 ), h( skol2 ) ) ==> h( skol1 ), ! sorti2( h( skol1 ) ) }.
% 1.26/1.65 parent0[0]: (297) {G3,W8,D4,L1,V0,M1} R(19,42);d(208);d(255);d(5) { op2( h
% 1.26/1.65 ( skol2 ), h( skol2 ) ) ==> h( skol1 ) }.
% 1.26/1.65 parent1[0; 4]: (6982) {G4,W19,D4,L3,V0,M3} { ! h( skol1 ) ==> op2( h(
% 1.26/1.65 skol2 ), h( skol2 ) ), op2( h( skol1 ), h( skol2 ) ) ==> h( skol1 ), !
% 1.26/1.65 sorti2( h( skol1 ) ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 end
% 1.26/1.65 substitution1:
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 eqrefl: (6985) {G0,W11,D4,L2,V0,M2} { op2( h( skol1 ), h( skol2 ) ) ==> h
% 1.26/1.65 ( skol1 ), ! sorti2( h( skol1 ) ) }.
% 1.26/1.65 parent0[0]: (6984) {G4,W16,D4,L3,V0,M3} { ! h( skol1 ) ==> h( skol1 ), op2
% 1.26/1.65 ( h( skol1 ), h( skol2 ) ) ==> h( skol1 ), ! sorti2( h( skol1 ) ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 resolution: (6986) {G1,W8,D4,L1,V0,M1} { op2( h( skol1 ), h( skol2 ) ) ==>
% 1.26/1.65 h( skol1 ) }.
% 1.26/1.65 parent0[1]: (6985) {G0,W11,D4,L2,V0,M2} { op2( h( skol1 ), h( skol2 ) )
% 1.26/1.65 ==> h( skol1 ), ! sorti2( h( skol1 ) ) }.
% 1.26/1.65 parent1[0]: (38) {G1,W3,D3,L1,V0,M1} R(8,2) { sorti2( h( skol1 ) ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 end
% 1.26/1.65 substitution1:
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 subsumption: (1208) {G4,W8,D4,L1,V0,M1} P(296,17);d(297);q;r(38) { op2( h(
% 1.26/1.65 skol1 ), h( skol2 ) ) ==> h( skol1 ) }.
% 1.26/1.65 parent0: (6986) {G1,W8,D4,L1,V0,M1} { op2( h( skol1 ), h( skol2 ) ) ==> h
% 1.26/1.65 ( skol1 ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 end
% 1.26/1.65 permutation0:
% 1.26/1.65 0 ==> 0
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 eqswap: (6988) {G4,W8,D4,L1,V0,M1} { h( skol1 ) ==> op2( h( skol1 ), h(
% 1.26/1.65 skol2 ) ) }.
% 1.26/1.65 parent0[0]: (1208) {G4,W8,D4,L1,V0,M1} P(296,17);d(297);q;r(38) { op2( h(
% 1.26/1.65 skol1 ), h( skol2 ) ) ==> h( skol1 ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 paramod: (6990) {G1,W11,D4,L3,V0,M3} { h( skol1 ) ==> h( op1( skol1, skol2
% 1.26/1.65 ) ), ! sorti1( skol1 ), ! sorti1( skol2 ) }.
% 1.26/1.65 parent0[2]: (10) {G0,W14,D4,L3,V2,M3} I { ! sorti1( X ), ! sorti1( Y ), op2
% 1.26/1.65 ( h( X ), h( Y ) ) ==> h( op1( X, Y ) ) }.
% 1.26/1.65 parent1[0; 3]: (6988) {G4,W8,D4,L1,V0,M1} { h( skol1 ) ==> op2( h( skol1 )
% 1.26/1.65 , h( skol2 ) ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 X := skol1
% 1.26/1.65 Y := skol2
% 1.26/1.65 end
% 1.26/1.65 substitution1:
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 resolution: (6991) {G1,W9,D4,L2,V0,M2} { h( skol1 ) ==> h( op1( skol1,
% 1.26/1.65 skol2 ) ), ! sorti1( skol2 ) }.
% 1.26/1.65 parent0[1]: (6990) {G1,W11,D4,L3,V0,M3} { h( skol1 ) ==> h( op1( skol1,
% 1.26/1.65 skol2 ) ), ! sorti1( skol1 ), ! sorti1( skol2 ) }.
% 1.26/1.65 parent1[0]: (2) {G0,W2,D2,L1,V0,M1} I { sorti1( skol1 ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 end
% 1.26/1.65 substitution1:
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 eqswap: (6992) {G1,W9,D4,L2,V0,M2} { h( op1( skol1, skol2 ) ) ==> h( skol1
% 1.26/1.65 ), ! sorti1( skol2 ) }.
% 1.26/1.65 parent0[0]: (6991) {G1,W9,D4,L2,V0,M2} { h( skol1 ) ==> h( op1( skol1,
% 1.26/1.65 skol2 ) ), ! sorti1( skol2 ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 subsumption: (1211) {G5,W9,D4,L2,V0,M2} P(1208,10);r(2) { ! sorti1( skol2 )
% 1.26/1.65 , h( op1( skol1, skol2 ) ) ==> h( skol1 ) }.
% 1.26/1.65 parent0: (6992) {G1,W9,D4,L2,V0,M2} { h( op1( skol1, skol2 ) ) ==> h(
% 1.26/1.65 skol1 ), ! sorti1( skol2 ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 end
% 1.26/1.65 permutation0:
% 1.26/1.65 0 ==> 1
% 1.26/1.65 1 ==> 0
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 resolution: (6994) {G1,W7,D4,L1,V0,M1} { h( op1( skol1, skol2 ) ) ==> h(
% 1.26/1.65 skol1 ) }.
% 1.26/1.65 parent0[0]: (1211) {G5,W9,D4,L2,V0,M2} P(1208,10);r(2) { ! sorti1( skol2 )
% 1.26/1.65 , h( op1( skol1, skol2 ) ) ==> h( skol1 ) }.
% 1.26/1.65 parent1[0]: (3) {G0,W2,D2,L1,V0,M1} I { sorti1( skol2 ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 end
% 1.26/1.65 substitution1:
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 subsumption: (6707) {G6,W7,D4,L1,V0,M1} S(1211);r(3) { h( op1( skol1, skol2
% 1.26/1.65 ) ) ==> h( skol1 ) }.
% 1.26/1.65 parent0: (6994) {G1,W7,D4,L1,V0,M1} { h( op1( skol1, skol2 ) ) ==> h(
% 1.26/1.65 skol1 ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 end
% 1.26/1.65 permutation0:
% 1.26/1.65 0 ==> 0
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 eqswap: (6997) {G0,W7,D4,L2,V1,M2} { X ==> j( h( X ) ), ! sorti1( X ) }.
% 1.26/1.65 parent0[1]: (13) {G0,W7,D4,L2,V1,M2} I { ! sorti1( X ), j( h( X ) ) ==> X
% 1.26/1.65 }.
% 1.26/1.65 substitution0:
% 1.26/1.65 X := X
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 paramod: (6999) {G1,W11,D4,L2,V0,M2} { op1( skol1, skol2 ) ==> j( h( skol1
% 1.26/1.65 ) ), ! sorti1( op1( skol1, skol2 ) ) }.
% 1.26/1.65 parent0[0]: (6707) {G6,W7,D4,L1,V0,M1} S(1211);r(3) { h( op1( skol1, skol2
% 1.26/1.65 ) ) ==> h( skol1 ) }.
% 1.26/1.65 parent1[0; 5]: (6997) {G0,W7,D4,L2,V1,M2} { X ==> j( h( X ) ), ! sorti1( X
% 1.26/1.65 ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 end
% 1.26/1.65 substitution1:
% 1.26/1.65 X := op1( skol1, skol2 )
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 paramod: (7000) {G2,W9,D3,L2,V0,M2} { op1( skol1, skol2 ) ==> skol1, !
% 1.26/1.65 sorti1( op1( skol1, skol2 ) ) }.
% 1.26/1.65 parent0[0]: (254) {G1,W5,D4,L1,V0,M1} R(13,2) { j( h( skol1 ) ) ==> skol1
% 1.26/1.65 }.
% 1.26/1.65 parent1[0; 4]: (6999) {G1,W11,D4,L2,V0,M2} { op1( skol1, skol2 ) ==> j( h
% 1.26/1.65 ( skol1 ) ), ! sorti1( op1( skol1, skol2 ) ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 end
% 1.26/1.65 substitution1:
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 resolution: (7001) {G3,W5,D3,L1,V0,M1} { op1( skol1, skol2 ) ==> skol1 }.
% 1.26/1.65 parent0[1]: (7000) {G2,W9,D3,L2,V0,M2} { op1( skol1, skol2 ) ==> skol1, !
% 1.26/1.65 sorti1( op1( skol1, skol2 ) ) }.
% 1.26/1.65 parent1[0]: (87) {G2,W4,D3,L1,V0,M1} R(23,3) { sorti1( op1( skol1, skol2 )
% 1.26/1.65 ) }.
% 1.26/1.65 substitution0:
% 1.26/1.65 end
% 1.26/1.65 substitution1:
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 subsumption: (6709) {G7,W5,D3,L1,V0,M1} P(6707,13);d(254);r(87) { op1(
% 1.26/1.65 skol1, skol2 ) ==> skol1 }.
% 1.26/1.65 parent0: (7001) {G3,W5,D3,L1,V0,M1} { op1( skol1, skol2 ) ==> skol1 }.
% 1.26/1.65 substitution0:
% 1.26/1.65 end
% 1.26/1.65 permutation0:
% 1.26/1.65 0 ==> 0
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 resolution: (7005) {G1,W0,D0,L0,V0,M0} { }.
% 1.26/1.65 parent0[0]: (6) {G0,W5,D3,L1,V0,M1} I { ! op1( skol1, skol2 ) ==> skol1 }.
% 1.26/1.65 parent1[0]: (6709) {G7,W5,D3,L1,V0,M1} P(6707,13);d(254);r(87) { op1( skol1
% 1.26/1.65 , skol2 ) ==> skol1 }.
% 1.26/1.65 substitution0:
% 1.26/1.65 end
% 1.26/1.65 substitution1:
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 subsumption: (6710) {G8,W0,D0,L0,V0,M0} S(6709);r(6) { }.
% 1.26/1.65 parent0: (7005) {G1,W0,D0,L0,V0,M0} { }.
% 1.26/1.65 substitution0:
% 1.26/1.65 end
% 1.26/1.65 permutation0:
% 1.26/1.65 end
% 1.26/1.65
% 1.26/1.65 Proof check complete!
% 1.26/1.65
% 1.26/1.65 Memory use:
% 1.26/1.65
% 1.26/1.65 space for terms: 90021
% 1.26/1.65 space for clauses: 372535
% 1.26/1.65
% 1.26/1.65
% 1.26/1.65 clauses generated: 13830
% 1.26/1.65 clauses kept: 6711
% 1.26/1.65 clauses selected: 188
% 1.26/1.65 clauses deleted: 41
% 1.26/1.65 clauses inuse deleted: 10
% 1.26/1.65
% 1.26/1.65 subsentry: 47843
% 1.26/1.65 literals s-matched: 14885
% 1.26/1.65 literals matched: 14881
% 1.26/1.65 full subsumption: 6275
% 1.26/1.65
% 1.26/1.65 checksum: -2068132466
% 1.26/1.65
% 1.26/1.65
% 1.26/1.65 Bliksem ended
%------------------------------------------------------------------------------