TSTP Solution File: ALG070+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG070+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 1.61s 2.01s
% Output : Refutation 1.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : ALG070+1 : TPTP v8.1.0. Released v2.7.0.
% 0.10/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Tue Jun 7 22:11:46 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.61/2.00 *** allocated 10000 integers for termspace/termends
% 1.61/2.00 *** allocated 10000 integers for clauses
% 1.61/2.00 *** allocated 10000 integers for justifications
% 1.61/2.00 Bliksem 1.12
% 1.61/2.00
% 1.61/2.00
% 1.61/2.00 Automatic Strategy Selection
% 1.61/2.00
% 1.61/2.00
% 1.61/2.00 Clauses:
% 1.61/2.00
% 1.61/2.00 { ! sorti1( X ), ! sorti1( Y ), sorti1( op1( X, Y ) ) }.
% 1.61/2.00 { ! sorti2( X ), ! sorti2( Y ), sorti2( op2( X, Y ) ) }.
% 1.61/2.00 { ! sorti1( X ), ! sorti1( Y ), ! op1( X, X ) = Y, op1( X, Y ) = X }.
% 1.61/2.00 { sorti2( skol1 ) }.
% 1.61/2.00 { sorti2( skol2 ) }.
% 1.61/2.00 { op2( skol1, skol1 ) = skol2 }.
% 1.61/2.00 { ! op2( skol1, skol2 ) = skol1 }.
% 1.61/2.00 { ! sorti1( X ), sorti2( h( X ) ) }.
% 1.61/2.00 { ! sorti2( X ), sorti1( j( X ) ) }.
% 1.61/2.00 { ! sorti1( X ), ! sorti1( Y ), h( op1( X, Y ) ) = op2( h( X ), h( Y ) ) }
% 1.61/2.00 .
% 1.61/2.00 { ! sorti2( X ), ! sorti2( Y ), j( op2( X, Y ) ) = op1( j( X ), j( Y ) ) }
% 1.61/2.00 .
% 1.61/2.00 { ! sorti2( X ), h( j( X ) ) = X }.
% 1.61/2.00 { ! sorti1( X ), j( h( X ) ) = X }.
% 1.61/2.00
% 1.61/2.00 percentage equality = 0.285714, percentage horn = 1.000000
% 1.61/2.00 This is a problem with some equality
% 1.61/2.00
% 1.61/2.00
% 1.61/2.00
% 1.61/2.00 Options Used:
% 1.61/2.00
% 1.61/2.00 useres = 1
% 1.61/2.00 useparamod = 1
% 1.61/2.00 useeqrefl = 1
% 1.61/2.00 useeqfact = 1
% 1.61/2.00 usefactor = 1
% 1.61/2.00 usesimpsplitting = 0
% 1.61/2.00 usesimpdemod = 5
% 1.61/2.00 usesimpres = 3
% 1.61/2.00
% 1.61/2.00 resimpinuse = 1000
% 1.61/2.00 resimpclauses = 20000
% 1.61/2.00 substype = eqrewr
% 1.61/2.00 backwardsubs = 1
% 1.61/2.00 selectoldest = 5
% 1.61/2.00
% 1.61/2.00 litorderings [0] = split
% 1.61/2.00 litorderings [1] = extend the termordering, first sorting on arguments
% 1.61/2.00
% 1.61/2.00 termordering = kbo
% 1.61/2.00
% 1.61/2.00 litapriori = 0
% 1.61/2.00 termapriori = 1
% 1.61/2.00 litaposteriori = 0
% 1.61/2.00 termaposteriori = 0
% 1.61/2.00 demodaposteriori = 0
% 1.61/2.00 ordereqreflfact = 0
% 1.61/2.00
% 1.61/2.00 litselect = negord
% 1.61/2.00
% 1.61/2.00 maxweight = 15
% 1.61/2.00 maxdepth = 30000
% 1.61/2.00 maxlength = 115
% 1.61/2.00 maxnrvars = 195
% 1.61/2.00 excuselevel = 1
% 1.61/2.00 increasemaxweight = 1
% 1.61/2.00
% 1.61/2.00 maxselected = 10000000
% 1.61/2.00 maxnrclauses = 10000000
% 1.61/2.00
% 1.61/2.00 showgenerated = 0
% 1.61/2.00 showkept = 0
% 1.61/2.00 showselected = 0
% 1.61/2.00 showdeleted = 0
% 1.61/2.00 showresimp = 1
% 1.61/2.00 showstatus = 2000
% 1.61/2.00
% 1.61/2.00 prologoutput = 0
% 1.61/2.00 nrgoals = 5000000
% 1.61/2.00 totalproof = 1
% 1.61/2.00
% 1.61/2.00 Symbols occurring in the translation:
% 1.61/2.00
% 1.61/2.00 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.61/2.00 . [1, 2] (w:1, o:25, a:1, s:1, b:0),
% 1.61/2.00 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 1.61/2.01 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.61/2.01 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.61/2.01 sorti1 [36, 1] (w:1, o:21, a:1, s:1, b:0),
% 1.61/2.01 op1 [38, 2] (w:1, o:49, a:1, s:1, b:0),
% 1.61/2.01 sorti2 [39, 1] (w:1, o:22, a:1, s:1, b:0),
% 1.61/2.01 op2 [40, 2] (w:1, o:50, a:1, s:1, b:0),
% 1.61/2.01 h [41, 1] (w:1, o:23, a:1, s:1, b:0),
% 1.61/2.01 j [42, 1] (w:1, o:24, a:1, s:1, b:0),
% 1.61/2.01 skol1 [49, 0] (w:1, o:14, a:1, s:1, b:1),
% 1.61/2.01 skol2 [50, 0] (w:1, o:15, a:1, s:1, b:1).
% 1.61/2.01
% 1.61/2.01
% 1.61/2.01 Starting Search:
% 1.61/2.01
% 1.61/2.01 *** allocated 15000 integers for clauses
% 1.61/2.01 *** allocated 22500 integers for clauses
% 1.61/2.01 *** allocated 33750 integers for clauses
% 1.61/2.01 *** allocated 50625 integers for clauses
% 1.61/2.01 *** allocated 15000 integers for termspace/termends
% 1.61/2.01 *** allocated 75937 integers for clauses
% 1.61/2.01 Resimplifying inuse:
% 1.61/2.01 Done
% 1.61/2.01
% 1.61/2.01 *** allocated 22500 integers for termspace/termends
% 1.61/2.01 *** allocated 113905 integers for clauses
% 1.61/2.01 *** allocated 33750 integers for termspace/termends
% 1.61/2.01 *** allocated 170857 integers for clauses
% 1.61/2.01
% 1.61/2.01 Intermediate Status:
% 1.61/2.01 Generated: 4582
% 1.61/2.01 Kept: 2237
% 1.61/2.01 Inuse: 106
% 1.61/2.01 Deleted: 21
% 1.61/2.01 Deletedinuse: 6
% 1.61/2.01
% 1.61/2.01 Resimplifying inuse:
% 1.61/2.01 Done
% 1.61/2.01
% 1.61/2.01 *** allocated 50625 integers for termspace/termends
% 1.61/2.01 *** allocated 256285 integers for clauses
% 1.61/2.01 Resimplifying inuse:
% 1.61/2.01 Done
% 1.61/2.01
% 1.61/2.01 *** allocated 75937 integers for termspace/termends
% 1.61/2.01
% 1.61/2.01 Intermediate Status:
% 1.61/2.01 Generated: 7764
% 1.61/2.01 Kept: 4269
% 1.61/2.01 Inuse: 135
% 1.61/2.01 Deleted: 25
% 1.61/2.01 Deletedinuse: 8
% 1.61/2.01
% 1.61/2.01 Resimplifying inuse:
% 1.61/2.01 Done
% 1.61/2.01
% 1.61/2.01 *** allocated 384427 integers for clauses
% 1.61/2.01 Resimplifying inuse:
% 1.61/2.01 Done
% 1.61/2.01
% 1.61/2.01 *** allocated 113905 integers for termspace/termends
% 1.61/2.01
% 1.61/2.01 Intermediate Status:
% 1.61/2.01 Generated: 12272
% 1.61/2.01 Kept: 6303
% 1.61/2.01 Inuse: 170
% 1.61/2.01 Deleted: 27
% 1.61/2.01 Deletedinuse: 8
% 1.61/2.01
% 1.61/2.01 Resimplifying inuse:
% 1.61/2.01 Done
% 1.61/2.01
% 1.61/2.01 *** allocated 576640 integers for clauses
% 1.61/2.01 Resimplifying inuse:
% 1.61/2.01 Done
% 1.61/2.01
% 1.61/2.01
% 1.61/2.01 Intermediate Status:
% 1.61/2.01 Generated: 15887
% 1.61/2.01 Kept: 8414
% 1.61/2.01 Inuse: 202
% 1.61/2.01 Deleted: 32
% 1.61/2.01 Deletedinuse: 8
% 1.61/2.01
% 1.61/2.01 Resimplifying inuse:
% 1.61/2.01 Done
% 1.61/2.01
% 1.61/2.01 *** allocated 170857 integers for termspace/termends
% 1.61/2.01 Resimplifying inuse:
% 1.61/2.01 Done
% 1.61/2.01
% 1.61/2.01
% 1.61/2.01 Bliksems!, er is een bewijs:
% 1.61/2.01 % SZS status Theorem
% 1.61/2.01 % SZS output start Refutation
% 1.61/2.01
% 1.61/2.01 (0) {G0,W8,D3,L3,V2,M3} I { ! sorti1( X ), ! sorti1( Y ), sorti1( op1( X, Y
% 1.61/2.01 ) ) }.
% 1.61/2.01 (1) {G0,W8,D3,L3,V2,M3} I { ! sorti2( X ), ! sorti2( Y ), sorti2( op2( X, Y
% 1.61/2.01 ) ) }.
% 1.61/2.01 (2) {G0,W14,D3,L4,V2,M4} I { ! sorti1( X ), ! sorti1( Y ), ! op1( X, X ) =
% 1.61/2.01 Y, op1( X, Y ) ==> X }.
% 1.61/2.01 (3) {G0,W2,D2,L1,V0,M1} I { sorti2( skol1 ) }.
% 1.61/2.01 (4) {G0,W2,D2,L1,V0,M1} I { sorti2( skol2 ) }.
% 1.61/2.01 (5) {G0,W5,D3,L1,V0,M1} I { op2( skol1, skol1 ) ==> skol2 }.
% 1.61/2.01 (6) {G0,W5,D3,L1,V0,M1} I { ! op2( skol1, skol2 ) ==> skol1 }.
% 1.61/2.01 (7) {G0,W5,D3,L2,V1,M2} I { ! sorti1( X ), sorti2( h( X ) ) }.
% 1.61/2.01 (8) {G0,W5,D3,L2,V1,M2} I { ! sorti2( X ), sorti1( j( X ) ) }.
% 1.61/2.01 (10) {G0,W14,D4,L3,V2,M3} I { ! sorti2( X ), ! sorti2( Y ), op1( j( X ), j
% 1.61/2.01 ( Y ) ) ==> j( op2( X, Y ) ) }.
% 1.61/2.01 (11) {G0,W7,D4,L2,V1,M2} I { ! sorti2( X ), h( j( X ) ) ==> X }.
% 1.61/2.01 (16) {G1,W9,D4,L2,V1,M2} Q(2);r(0) { ! sorti1( X ), op1( X, op1( X, X ) )
% 1.61/2.01 ==> X }.
% 1.61/2.01 (18) {G1,W12,D4,L2,V1,M2} F(10) { ! sorti2( X ), op1( j( X ), j( X ) ) ==>
% 1.61/2.01 j( op2( X, X ) ) }.
% 1.61/2.01 (19) {G1,W3,D3,L1,V0,M1} R(8,3) { sorti1( j( skol1 ) ) }.
% 1.61/2.01 (37) {G2,W4,D4,L1,V0,M1} R(7,19) { sorti2( h( j( skol1 ) ) ) }.
% 1.61/2.01 (48) {G1,W6,D3,L2,V1,M2} R(1,3) { ! sorti2( X ), sorti2( op2( skol1, X ) )
% 1.61/2.01 }.
% 1.61/2.01 (78) {G2,W4,D3,L1,V0,M1} R(48,4) { sorti2( op2( skol1, skol2 ) ) }.
% 1.61/2.01 (220) {G1,W5,D4,L1,V0,M1} R(11,3) { h( j( skol1 ) ) ==> skol1 }.
% 1.61/2.01 (346) {G3,W8,D4,L1,V0,M1} R(18,37);d(220);d(5) { op1( j( skol1 ), j( skol1
% 1.61/2.01 ) ) ==> j( skol2 ) }.
% 1.61/2.01 (1471) {G4,W8,D4,L1,V0,M1} P(346,16);r(19) { op1( j( skol1 ), j( skol2 ) )
% 1.61/2.01 ==> j( skol1 ) }.
% 1.61/2.01 (1474) {G5,W9,D4,L2,V0,M2} P(1471,10);r(3) { ! sorti2( skol2 ), j( op2(
% 1.61/2.01 skol1, skol2 ) ) ==> j( skol1 ) }.
% 1.61/2.01 (9618) {G6,W7,D4,L1,V0,M1} S(1474);r(4) { j( op2( skol1, skol2 ) ) ==> j(
% 1.61/2.01 skol1 ) }.
% 1.61/2.01 (9620) {G7,W5,D3,L1,V0,M1} P(9618,11);d(220);r(78) { op2( skol1, skol2 )
% 1.61/2.01 ==> skol1 }.
% 1.61/2.01 (9621) {G8,W0,D0,L0,V0,M0} S(9620);r(6) { }.
% 1.61/2.01
% 1.61/2.01
% 1.61/2.01 % SZS output end Refutation
% 1.61/2.01 found a proof!
% 1.61/2.01
% 1.61/2.01
% 1.61/2.01 Unprocessed initial clauses:
% 1.61/2.01
% 1.61/2.01 (9623) {G0,W8,D3,L3,V2,M3} { ! sorti1( X ), ! sorti1( Y ), sorti1( op1( X
% 1.61/2.01 , Y ) ) }.
% 1.61/2.01 (9624) {G0,W8,D3,L3,V2,M3} { ! sorti2( X ), ! sorti2( Y ), sorti2( op2( X
% 1.61/2.01 , Y ) ) }.
% 1.61/2.01 (9625) {G0,W14,D3,L4,V2,M4} { ! sorti1( X ), ! sorti1( Y ), ! op1( X, X )
% 1.61/2.01 = Y, op1( X, Y ) = X }.
% 1.61/2.01 (9626) {G0,W2,D2,L1,V0,M1} { sorti2( skol1 ) }.
% 1.61/2.01 (9627) {G0,W2,D2,L1,V0,M1} { sorti2( skol2 ) }.
% 1.61/2.01 (9628) {G0,W5,D3,L1,V0,M1} { op2( skol1, skol1 ) = skol2 }.
% 1.61/2.01 (9629) {G0,W5,D3,L1,V0,M1} { ! op2( skol1, skol2 ) = skol1 }.
% 1.61/2.01 (9630) {G0,W5,D3,L2,V1,M2} { ! sorti1( X ), sorti2( h( X ) ) }.
% 1.61/2.01 (9631) {G0,W5,D3,L2,V1,M2} { ! sorti2( X ), sorti1( j( X ) ) }.
% 1.61/2.01 (9632) {G0,W14,D4,L3,V2,M3} { ! sorti1( X ), ! sorti1( Y ), h( op1( X, Y )
% 1.61/2.01 ) = op2( h( X ), h( Y ) ) }.
% 1.61/2.01 (9633) {G0,W14,D4,L3,V2,M3} { ! sorti2( X ), ! sorti2( Y ), j( op2( X, Y )
% 1.61/2.01 ) = op1( j( X ), j( Y ) ) }.
% 1.61/2.01 (9634) {G0,W7,D4,L2,V1,M2} { ! sorti2( X ), h( j( X ) ) = X }.
% 1.61/2.01 (9635) {G0,W7,D4,L2,V1,M2} { ! sorti1( X ), j( h( X ) ) = X }.
% 1.61/2.01
% 1.61/2.01
% 1.61/2.01 Total Proof:
% 1.61/2.01
% 1.61/2.01 subsumption: (0) {G0,W8,D3,L3,V2,M3} I { ! sorti1( X ), ! sorti1( Y ),
% 1.61/2.01 sorti1( op1( X, Y ) ) }.
% 1.61/2.01 parent0: (9623) {G0,W8,D3,L3,V2,M3} { ! sorti1( X ), ! sorti1( Y ), sorti1
% 1.61/2.01 ( op1( X, Y ) ) }.
% 1.61/2.01 substitution0:
% 1.61/2.01 X := X
% 1.61/2.01 Y := Y
% 1.61/2.01 end
% 1.61/2.01 permutation0:
% 1.61/2.01 0 ==> 0
% 1.61/2.01 1 ==> 1
% 1.61/2.01 2 ==> 2
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 subsumption: (1) {G0,W8,D3,L3,V2,M3} I { ! sorti2( X ), ! sorti2( Y ),
% 1.61/2.01 sorti2( op2( X, Y ) ) }.
% 1.61/2.01 parent0: (9624) {G0,W8,D3,L3,V2,M3} { ! sorti2( X ), ! sorti2( Y ), sorti2
% 1.61/2.01 ( op2( X, Y ) ) }.
% 1.61/2.01 substitution0:
% 1.61/2.01 X := X
% 1.61/2.01 Y := Y
% 1.61/2.01 end
% 1.61/2.01 permutation0:
% 1.61/2.01 0 ==> 0
% 1.61/2.01 1 ==> 1
% 1.61/2.01 2 ==> 2
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 subsumption: (2) {G0,W14,D3,L4,V2,M4} I { ! sorti1( X ), ! sorti1( Y ), !
% 1.61/2.01 op1( X, X ) = Y, op1( X, Y ) ==> X }.
% 1.61/2.01 parent0: (9625) {G0,W14,D3,L4,V2,M4} { ! sorti1( X ), ! sorti1( Y ), ! op1
% 1.61/2.01 ( X, X ) = Y, op1( X, Y ) = X }.
% 1.61/2.01 substitution0:
% 1.61/2.01 X := X
% 1.61/2.01 Y := Y
% 1.61/2.01 end
% 1.61/2.01 permutation0:
% 1.61/2.01 0 ==> 0
% 1.61/2.01 1 ==> 1
% 1.61/2.01 2 ==> 2
% 1.61/2.01 3 ==> 3
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 subsumption: (3) {G0,W2,D2,L1,V0,M1} I { sorti2( skol1 ) }.
% 1.61/2.01 parent0: (9626) {G0,W2,D2,L1,V0,M1} { sorti2( skol1 ) }.
% 1.61/2.01 substitution0:
% 1.61/2.01 end
% 1.61/2.01 permutation0:
% 1.61/2.01 0 ==> 0
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 subsumption: (4) {G0,W2,D2,L1,V0,M1} I { sorti2( skol2 ) }.
% 1.61/2.01 parent0: (9627) {G0,W2,D2,L1,V0,M1} { sorti2( skol2 ) }.
% 1.61/2.01 substitution0:
% 1.61/2.01 end
% 1.61/2.01 permutation0:
% 1.61/2.01 0 ==> 0
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 subsumption: (5) {G0,W5,D3,L1,V0,M1} I { op2( skol1, skol1 ) ==> skol2 }.
% 1.61/2.01 parent0: (9628) {G0,W5,D3,L1,V0,M1} { op2( skol1, skol1 ) = skol2 }.
% 1.61/2.01 substitution0:
% 1.61/2.01 end
% 1.61/2.01 permutation0:
% 1.61/2.01 0 ==> 0
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 subsumption: (6) {G0,W5,D3,L1,V0,M1} I { ! op2( skol1, skol2 ) ==> skol1
% 1.61/2.01 }.
% 1.61/2.01 parent0: (9629) {G0,W5,D3,L1,V0,M1} { ! op2( skol1, skol2 ) = skol1 }.
% 1.61/2.01 substitution0:
% 1.61/2.01 end
% 1.61/2.01 permutation0:
% 1.61/2.01 0 ==> 0
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 subsumption: (7) {G0,W5,D3,L2,V1,M2} I { ! sorti1( X ), sorti2( h( X ) )
% 1.61/2.01 }.
% 1.61/2.01 parent0: (9630) {G0,W5,D3,L2,V1,M2} { ! sorti1( X ), sorti2( h( X ) ) }.
% 1.61/2.01 substitution0:
% 1.61/2.01 X := X
% 1.61/2.01 end
% 1.61/2.01 permutation0:
% 1.61/2.01 0 ==> 0
% 1.61/2.01 1 ==> 1
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 subsumption: (8) {G0,W5,D3,L2,V1,M2} I { ! sorti2( X ), sorti1( j( X ) )
% 1.61/2.01 }.
% 1.61/2.01 parent0: (9631) {G0,W5,D3,L2,V1,M2} { ! sorti2( X ), sorti1( j( X ) ) }.
% 1.61/2.01 substitution0:
% 1.61/2.01 X := X
% 1.61/2.01 end
% 1.61/2.01 permutation0:
% 1.61/2.01 0 ==> 0
% 1.61/2.01 1 ==> 1
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 eqswap: (9723) {G0,W14,D4,L3,V2,M3} { op1( j( X ), j( Y ) ) = j( op2( X, Y
% 1.61/2.01 ) ), ! sorti2( X ), ! sorti2( Y ) }.
% 1.61/2.01 parent0[2]: (9633) {G0,W14,D4,L3,V2,M3} { ! sorti2( X ), ! sorti2( Y ), j
% 1.61/2.01 ( op2( X, Y ) ) = op1( j( X ), j( Y ) ) }.
% 1.61/2.01 substitution0:
% 1.61/2.01 X := X
% 1.61/2.01 Y := Y
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 subsumption: (10) {G0,W14,D4,L3,V2,M3} I { ! sorti2( X ), ! sorti2( Y ),
% 1.61/2.01 op1( j( X ), j( Y ) ) ==> j( op2( X, Y ) ) }.
% 1.61/2.01 parent0: (9723) {G0,W14,D4,L3,V2,M3} { op1( j( X ), j( Y ) ) = j( op2( X,
% 1.61/2.01 Y ) ), ! sorti2( X ), ! sorti2( Y ) }.
% 1.61/2.01 substitution0:
% 1.61/2.01 X := X
% 1.61/2.01 Y := Y
% 1.61/2.01 end
% 1.61/2.01 permutation0:
% 1.61/2.01 0 ==> 2
% 1.61/2.01 1 ==> 0
% 1.61/2.01 2 ==> 1
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 subsumption: (11) {G0,W7,D4,L2,V1,M2} I { ! sorti2( X ), h( j( X ) ) ==> X
% 1.61/2.01 }.
% 1.61/2.01 parent0: (9634) {G0,W7,D4,L2,V1,M2} { ! sorti2( X ), h( j( X ) ) = X }.
% 1.61/2.01 substitution0:
% 1.61/2.01 X := X
% 1.61/2.01 end
% 1.61/2.01 permutation0:
% 1.61/2.01 0 ==> 0
% 1.61/2.01 1 ==> 1
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 eqswap: (9744) {G0,W14,D3,L4,V2,M4} { ! Y = op1( X, X ), ! sorti1( X ), !
% 1.61/2.01 sorti1( Y ), op1( X, Y ) ==> X }.
% 1.61/2.01 parent0[2]: (2) {G0,W14,D3,L4,V2,M4} I { ! sorti1( X ), ! sorti1( Y ), !
% 1.61/2.01 op1( X, X ) = Y, op1( X, Y ) ==> X }.
% 1.61/2.01 substitution0:
% 1.61/2.01 X := X
% 1.61/2.01 Y := Y
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 eqrefl: (9747) {G0,W13,D4,L3,V1,M3} { ! sorti1( X ), ! sorti1( op1( X, X )
% 1.61/2.01 ), op1( X, op1( X, X ) ) ==> X }.
% 1.61/2.01 parent0[0]: (9744) {G0,W14,D3,L4,V2,M4} { ! Y = op1( X, X ), ! sorti1( X )
% 1.61/2.01 , ! sorti1( Y ), op1( X, Y ) ==> X }.
% 1.61/2.01 substitution0:
% 1.61/2.01 X := X
% 1.61/2.01 Y := op1( X, X )
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 resolution: (9748) {G1,W13,D4,L4,V1,M4} { ! sorti1( X ), op1( X, op1( X, X
% 1.61/2.01 ) ) ==> X, ! sorti1( X ), ! sorti1( X ) }.
% 1.61/2.01 parent0[1]: (9747) {G0,W13,D4,L3,V1,M3} { ! sorti1( X ), ! sorti1( op1( X
% 1.61/2.01 , X ) ), op1( X, op1( X, X ) ) ==> X }.
% 1.61/2.01 parent1[2]: (0) {G0,W8,D3,L3,V2,M3} I { ! sorti1( X ), ! sorti1( Y ),
% 1.61/2.01 sorti1( op1( X, Y ) ) }.
% 1.61/2.01 substitution0:
% 1.61/2.01 X := X
% 1.61/2.01 end
% 1.61/2.01 substitution1:
% 1.61/2.01 X := X
% 1.61/2.01 Y := X
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 factor: (9752) {G1,W11,D4,L3,V1,M3} { ! sorti1( X ), op1( X, op1( X, X ) )
% 1.61/2.01 ==> X, ! sorti1( X ) }.
% 1.61/2.01 parent0[0, 2]: (9748) {G1,W13,D4,L4,V1,M4} { ! sorti1( X ), op1( X, op1( X
% 1.61/2.01 , X ) ) ==> X, ! sorti1( X ), ! sorti1( X ) }.
% 1.61/2.01 substitution0:
% 1.61/2.01 X := X
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 factor: (9753) {G1,W9,D4,L2,V1,M2} { ! sorti1( X ), op1( X, op1( X, X ) )
% 1.61/2.01 ==> X }.
% 1.61/2.01 parent0[0, 2]: (9752) {G1,W11,D4,L3,V1,M3} { ! sorti1( X ), op1( X, op1( X
% 1.61/2.01 , X ) ) ==> X, ! sorti1( X ) }.
% 1.61/2.01 substitution0:
% 1.61/2.01 X := X
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 subsumption: (16) {G1,W9,D4,L2,V1,M2} Q(2);r(0) { ! sorti1( X ), op1( X,
% 1.61/2.01 op1( X, X ) ) ==> X }.
% 1.61/2.01 parent0: (9753) {G1,W9,D4,L2,V1,M2} { ! sorti1( X ), op1( X, op1( X, X ) )
% 1.61/2.01 ==> X }.
% 1.61/2.01 substitution0:
% 1.61/2.01 X := X
% 1.61/2.01 end
% 1.61/2.01 permutation0:
% 1.61/2.01 0 ==> 0
% 1.61/2.01 1 ==> 1
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 factor: (9755) {G0,W12,D4,L2,V1,M2} { ! sorti2( X ), op1( j( X ), j( X ) )
% 1.61/2.01 ==> j( op2( X, X ) ) }.
% 1.61/2.01 parent0[0, 1]: (10) {G0,W14,D4,L3,V2,M3} I { ! sorti2( X ), ! sorti2( Y ),
% 1.61/2.01 op1( j( X ), j( Y ) ) ==> j( op2( X, Y ) ) }.
% 1.61/2.01 substitution0:
% 1.61/2.01 X := X
% 1.61/2.01 Y := X
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 subsumption: (18) {G1,W12,D4,L2,V1,M2} F(10) { ! sorti2( X ), op1( j( X ),
% 1.61/2.01 j( X ) ) ==> j( op2( X, X ) ) }.
% 1.61/2.01 parent0: (9755) {G0,W12,D4,L2,V1,M2} { ! sorti2( X ), op1( j( X ), j( X )
% 1.61/2.01 ) ==> j( op2( X, X ) ) }.
% 1.61/2.01 substitution0:
% 1.61/2.01 X := X
% 1.61/2.01 end
% 1.61/2.01 permutation0:
% 1.61/2.01 0 ==> 0
% 1.61/2.01 1 ==> 1
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 resolution: (9757) {G1,W3,D3,L1,V0,M1} { sorti1( j( skol1 ) ) }.
% 1.61/2.01 parent0[0]: (8) {G0,W5,D3,L2,V1,M2} I { ! sorti2( X ), sorti1( j( X ) ) }.
% 1.61/2.01 parent1[0]: (3) {G0,W2,D2,L1,V0,M1} I { sorti2( skol1 ) }.
% 1.61/2.01 substitution0:
% 1.61/2.01 X := skol1
% 1.61/2.01 end
% 1.61/2.01 substitution1:
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 subsumption: (19) {G1,W3,D3,L1,V0,M1} R(8,3) { sorti1( j( skol1 ) ) }.
% 1.61/2.01 parent0: (9757) {G1,W3,D3,L1,V0,M1} { sorti1( j( skol1 ) ) }.
% 1.61/2.01 substitution0:
% 1.61/2.01 end
% 1.61/2.01 permutation0:
% 1.61/2.01 0 ==> 0
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 resolution: (9758) {G1,W4,D4,L1,V0,M1} { sorti2( h( j( skol1 ) ) ) }.
% 1.61/2.01 parent0[0]: (7) {G0,W5,D3,L2,V1,M2} I { ! sorti1( X ), sorti2( h( X ) ) }.
% 1.61/2.01 parent1[0]: (19) {G1,W3,D3,L1,V0,M1} R(8,3) { sorti1( j( skol1 ) ) }.
% 1.61/2.01 substitution0:
% 1.61/2.01 X := j( skol1 )
% 1.61/2.01 end
% 1.61/2.01 substitution1:
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 subsumption: (37) {G2,W4,D4,L1,V0,M1} R(7,19) { sorti2( h( j( skol1 ) ) )
% 1.61/2.01 }.
% 1.61/2.01 parent0: (9758) {G1,W4,D4,L1,V0,M1} { sorti2( h( j( skol1 ) ) ) }.
% 1.61/2.01 substitution0:
% 1.61/2.01 end
% 1.61/2.01 permutation0:
% 1.61/2.01 0 ==> 0
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 resolution: (9759) {G1,W6,D3,L2,V1,M2} { ! sorti2( X ), sorti2( op2( skol1
% 1.61/2.01 , X ) ) }.
% 1.61/2.01 parent0[0]: (1) {G0,W8,D3,L3,V2,M3} I { ! sorti2( X ), ! sorti2( Y ),
% 1.61/2.01 sorti2( op2( X, Y ) ) }.
% 1.61/2.01 parent1[0]: (3) {G0,W2,D2,L1,V0,M1} I { sorti2( skol1 ) }.
% 1.61/2.01 substitution0:
% 1.61/2.01 X := skol1
% 1.61/2.01 Y := X
% 1.61/2.01 end
% 1.61/2.01 substitution1:
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 subsumption: (48) {G1,W6,D3,L2,V1,M2} R(1,3) { ! sorti2( X ), sorti2( op2(
% 1.61/2.01 skol1, X ) ) }.
% 1.61/2.01 parent0: (9759) {G1,W6,D3,L2,V1,M2} { ! sorti2( X ), sorti2( op2( skol1, X
% 1.61/2.01 ) ) }.
% 1.61/2.01 substitution0:
% 1.61/2.01 X := X
% 1.61/2.01 end
% 1.61/2.01 permutation0:
% 1.61/2.01 0 ==> 0
% 1.61/2.01 1 ==> 1
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 resolution: (9761) {G1,W4,D3,L1,V0,M1} { sorti2( op2( skol1, skol2 ) ) }.
% 1.61/2.01 parent0[0]: (48) {G1,W6,D3,L2,V1,M2} R(1,3) { ! sorti2( X ), sorti2( op2(
% 1.61/2.01 skol1, X ) ) }.
% 1.61/2.01 parent1[0]: (4) {G0,W2,D2,L1,V0,M1} I { sorti2( skol2 ) }.
% 1.61/2.01 substitution0:
% 1.61/2.01 X := skol2
% 1.61/2.01 end
% 1.61/2.01 substitution1:
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 subsumption: (78) {G2,W4,D3,L1,V0,M1} R(48,4) { sorti2( op2( skol1, skol2 )
% 1.61/2.01 ) }.
% 1.61/2.01 parent0: (9761) {G1,W4,D3,L1,V0,M1} { sorti2( op2( skol1, skol2 ) ) }.
% 1.61/2.01 substitution0:
% 1.61/2.01 end
% 1.61/2.01 permutation0:
% 1.61/2.01 0 ==> 0
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 eqswap: (9762) {G0,W7,D4,L2,V1,M2} { X ==> h( j( X ) ), ! sorti2( X ) }.
% 1.61/2.01 parent0[1]: (11) {G0,W7,D4,L2,V1,M2} I { ! sorti2( X ), h( j( X ) ) ==> X
% 1.61/2.01 }.
% 1.61/2.01 substitution0:
% 1.61/2.01 X := X
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 resolution: (9763) {G1,W5,D4,L1,V0,M1} { skol1 ==> h( j( skol1 ) ) }.
% 1.61/2.01 parent0[1]: (9762) {G0,W7,D4,L2,V1,M2} { X ==> h( j( X ) ), ! sorti2( X )
% 1.61/2.01 }.
% 1.61/2.01 parent1[0]: (3) {G0,W2,D2,L1,V0,M1} I { sorti2( skol1 ) }.
% 1.61/2.01 substitution0:
% 1.61/2.01 X := skol1
% 1.61/2.01 end
% 1.61/2.01 substitution1:
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 eqswap: (9764) {G1,W5,D4,L1,V0,M1} { h( j( skol1 ) ) ==> skol1 }.
% 1.61/2.01 parent0[0]: (9763) {G1,W5,D4,L1,V0,M1} { skol1 ==> h( j( skol1 ) ) }.
% 1.61/2.01 substitution0:
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 subsumption: (220) {G1,W5,D4,L1,V0,M1} R(11,3) { h( j( skol1 ) ) ==> skol1
% 1.61/2.01 }.
% 1.61/2.01 parent0: (9764) {G1,W5,D4,L1,V0,M1} { h( j( skol1 ) ) ==> skol1 }.
% 1.61/2.01 substitution0:
% 1.61/2.01 end
% 1.61/2.01 permutation0:
% 1.61/2.01 0 ==> 0
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 eqswap: (9765) {G1,W12,D4,L2,V1,M2} { j( op2( X, X ) ) ==> op1( j( X ), j
% 1.61/2.01 ( X ) ), ! sorti2( X ) }.
% 1.61/2.01 parent0[1]: (18) {G1,W12,D4,L2,V1,M2} F(10) { ! sorti2( X ), op1( j( X ), j
% 1.61/2.01 ( X ) ) ==> j( op2( X, X ) ) }.
% 1.61/2.01 substitution0:
% 1.61/2.01 X := X
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 resolution: (9768) {G2,W18,D6,L1,V0,M1} { j( op2( h( j( skol1 ) ), h( j(
% 1.61/2.01 skol1 ) ) ) ) ==> op1( j( h( j( skol1 ) ) ), j( h( j( skol1 ) ) ) ) }.
% 1.61/2.01 parent0[1]: (9765) {G1,W12,D4,L2,V1,M2} { j( op2( X, X ) ) ==> op1( j( X )
% 1.61/2.01 , j( X ) ), ! sorti2( X ) }.
% 1.61/2.01 parent1[0]: (37) {G2,W4,D4,L1,V0,M1} R(7,19) { sorti2( h( j( skol1 ) ) )
% 1.61/2.01 }.
% 1.61/2.01 substitution0:
% 1.61/2.01 X := h( j( skol1 ) )
% 1.61/2.01 end
% 1.61/2.01 substitution1:
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 paramod: (9772) {G2,W16,D6,L1,V0,M1} { j( op2( h( j( skol1 ) ), h( j(
% 1.61/2.01 skol1 ) ) ) ) ==> op1( j( h( j( skol1 ) ) ), j( skol1 ) ) }.
% 1.61/2.01 parent0[0]: (220) {G1,W5,D4,L1,V0,M1} R(11,3) { h( j( skol1 ) ) ==> skol1
% 1.61/2.01 }.
% 1.61/2.01 parent1[0; 15]: (9768) {G2,W18,D6,L1,V0,M1} { j( op2( h( j( skol1 ) ), h(
% 1.61/2.01 j( skol1 ) ) ) ) ==> op1( j( h( j( skol1 ) ) ), j( h( j( skol1 ) ) ) )
% 1.61/2.01 }.
% 1.61/2.01 substitution0:
% 1.61/2.01 end
% 1.61/2.01 substitution1:
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 paramod: (9775) {G2,W14,D6,L1,V0,M1} { j( op2( h( j( skol1 ) ), h( j(
% 1.61/2.01 skol1 ) ) ) ) ==> op1( j( skol1 ), j( skol1 ) ) }.
% 1.61/2.01 parent0[0]: (220) {G1,W5,D4,L1,V0,M1} R(11,3) { h( j( skol1 ) ) ==> skol1
% 1.61/2.01 }.
% 1.61/2.01 parent1[0; 11]: (9772) {G2,W16,D6,L1,V0,M1} { j( op2( h( j( skol1 ) ), h(
% 1.61/2.01 j( skol1 ) ) ) ) ==> op1( j( h( j( skol1 ) ) ), j( skol1 ) ) }.
% 1.61/2.01 substitution0:
% 1.61/2.01 end
% 1.61/2.01 substitution1:
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 paramod: (9777) {G2,W12,D6,L1,V0,M1} { j( op2( h( j( skol1 ) ), skol1 ) )
% 1.61/2.01 ==> op1( j( skol1 ), j( skol1 ) ) }.
% 1.61/2.01 parent0[0]: (220) {G1,W5,D4,L1,V0,M1} R(11,3) { h( j( skol1 ) ) ==> skol1
% 1.61/2.01 }.
% 1.61/2.01 parent1[0; 6]: (9775) {G2,W14,D6,L1,V0,M1} { j( op2( h( j( skol1 ) ), h( j
% 1.61/2.01 ( skol1 ) ) ) ) ==> op1( j( skol1 ), j( skol1 ) ) }.
% 1.61/2.01 substitution0:
% 1.61/2.01 end
% 1.61/2.01 substitution1:
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 paramod: (9778) {G2,W10,D4,L1,V0,M1} { j( op2( skol1, skol1 ) ) ==> op1( j
% 1.61/2.01 ( skol1 ), j( skol1 ) ) }.
% 1.61/2.01 parent0[0]: (220) {G1,W5,D4,L1,V0,M1} R(11,3) { h( j( skol1 ) ) ==> skol1
% 1.61/2.01 }.
% 1.61/2.01 parent1[0; 3]: (9777) {G2,W12,D6,L1,V0,M1} { j( op2( h( j( skol1 ) ),
% 1.61/2.01 skol1 ) ) ==> op1( j( skol1 ), j( skol1 ) ) }.
% 1.61/2.01 substitution0:
% 1.61/2.01 end
% 1.61/2.01 substitution1:
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 paramod: (9783) {G1,W8,D4,L1,V0,M1} { j( skol2 ) ==> op1( j( skol1 ), j(
% 1.61/2.01 skol1 ) ) }.
% 1.61/2.01 parent0[0]: (5) {G0,W5,D3,L1,V0,M1} I { op2( skol1, skol1 ) ==> skol2 }.
% 1.61/2.01 parent1[0; 2]: (9778) {G2,W10,D4,L1,V0,M1} { j( op2( skol1, skol1 ) ) ==>
% 1.61/2.01 op1( j( skol1 ), j( skol1 ) ) }.
% 1.61/2.01 substitution0:
% 1.61/2.01 end
% 1.61/2.01 substitution1:
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 eqswap: (9784) {G1,W8,D4,L1,V0,M1} { op1( j( skol1 ), j( skol1 ) ) ==> j(
% 1.61/2.01 skol2 ) }.
% 1.61/2.01 parent0[0]: (9783) {G1,W8,D4,L1,V0,M1} { j( skol2 ) ==> op1( j( skol1 ), j
% 1.61/2.01 ( skol1 ) ) }.
% 1.61/2.01 substitution0:
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 subsumption: (346) {G3,W8,D4,L1,V0,M1} R(18,37);d(220);d(5) { op1( j( skol1
% 1.61/2.01 ), j( skol1 ) ) ==> j( skol2 ) }.
% 1.61/2.01 parent0: (9784) {G1,W8,D4,L1,V0,M1} { op1( j( skol1 ), j( skol1 ) ) ==> j
% 1.61/2.01 ( skol2 ) }.
% 1.61/2.01 substitution0:
% 1.61/2.01 end
% 1.61/2.01 permutation0:
% 1.61/2.01 0 ==> 0
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 eqswap: (9786) {G1,W9,D4,L2,V1,M2} { X ==> op1( X, op1( X, X ) ), ! sorti1
% 1.61/2.01 ( X ) }.
% 1.61/2.01 parent0[1]: (16) {G1,W9,D4,L2,V1,M2} Q(2);r(0) { ! sorti1( X ), op1( X, op1
% 1.61/2.01 ( X, X ) ) ==> X }.
% 1.61/2.01 substitution0:
% 1.61/2.01 X := X
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 paramod: (9787) {G2,W11,D4,L2,V0,M2} { j( skol1 ) ==> op1( j( skol1 ), j(
% 1.61/2.01 skol2 ) ), ! sorti1( j( skol1 ) ) }.
% 1.61/2.01 parent0[0]: (346) {G3,W8,D4,L1,V0,M1} R(18,37);d(220);d(5) { op1( j( skol1
% 1.61/2.01 ), j( skol1 ) ) ==> j( skol2 ) }.
% 1.61/2.01 parent1[0; 6]: (9786) {G1,W9,D4,L2,V1,M2} { X ==> op1( X, op1( X, X ) ), !
% 1.61/2.01 sorti1( X ) }.
% 1.61/2.01 substitution0:
% 1.61/2.01 end
% 1.61/2.01 substitution1:
% 1.61/2.01 X := j( skol1 )
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 resolution: (9788) {G2,W8,D4,L1,V0,M1} { j( skol1 ) ==> op1( j( skol1 ), j
% 1.61/2.01 ( skol2 ) ) }.
% 1.61/2.01 parent0[1]: (9787) {G2,W11,D4,L2,V0,M2} { j( skol1 ) ==> op1( j( skol1 ),
% 1.61/2.01 j( skol2 ) ), ! sorti1( j( skol1 ) ) }.
% 1.61/2.01 parent1[0]: (19) {G1,W3,D3,L1,V0,M1} R(8,3) { sorti1( j( skol1 ) ) }.
% 1.61/2.01 substitution0:
% 1.61/2.01 end
% 1.61/2.01 substitution1:
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 eqswap: (9789) {G2,W8,D4,L1,V0,M1} { op1( j( skol1 ), j( skol2 ) ) ==> j(
% 1.61/2.01 skol1 ) }.
% 1.61/2.01 parent0[0]: (9788) {G2,W8,D4,L1,V0,M1} { j( skol1 ) ==> op1( j( skol1 ), j
% 1.61/2.01 ( skol2 ) ) }.
% 1.61/2.01 substitution0:
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 subsumption: (1471) {G4,W8,D4,L1,V0,M1} P(346,16);r(19) { op1( j( skol1 ),
% 1.61/2.01 j( skol2 ) ) ==> j( skol1 ) }.
% 1.61/2.01 parent0: (9789) {G2,W8,D4,L1,V0,M1} { op1( j( skol1 ), j( skol2 ) ) ==> j
% 1.61/2.01 ( skol1 ) }.
% 1.61/2.01 substitution0:
% 1.61/2.01 end
% 1.61/2.01 permutation0:
% 1.61/2.01 0 ==> 0
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 eqswap: (9790) {G4,W8,D4,L1,V0,M1} { j( skol1 ) ==> op1( j( skol1 ), j(
% 1.61/2.01 skol2 ) ) }.
% 1.61/2.01 parent0[0]: (1471) {G4,W8,D4,L1,V0,M1} P(346,16);r(19) { op1( j( skol1 ), j
% 1.61/2.01 ( skol2 ) ) ==> j( skol1 ) }.
% 1.61/2.01 substitution0:
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 paramod: (9792) {G1,W11,D4,L3,V0,M3} { j( skol1 ) ==> j( op2( skol1, skol2
% 1.61/2.01 ) ), ! sorti2( skol1 ), ! sorti2( skol2 ) }.
% 1.61/2.01 parent0[2]: (10) {G0,W14,D4,L3,V2,M3} I { ! sorti2( X ), ! sorti2( Y ), op1
% 1.61/2.01 ( j( X ), j( Y ) ) ==> j( op2( X, Y ) ) }.
% 1.61/2.01 parent1[0; 3]: (9790) {G4,W8,D4,L1,V0,M1} { j( skol1 ) ==> op1( j( skol1 )
% 1.61/2.01 , j( skol2 ) ) }.
% 1.61/2.01 substitution0:
% 1.61/2.01 X := skol1
% 1.61/2.01 Y := skol2
% 1.61/2.01 end
% 1.61/2.01 substitution1:
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 resolution: (9793) {G1,W9,D4,L2,V0,M2} { j( skol1 ) ==> j( op2( skol1,
% 1.61/2.01 skol2 ) ), ! sorti2( skol2 ) }.
% 1.61/2.01 parent0[1]: (9792) {G1,W11,D4,L3,V0,M3} { j( skol1 ) ==> j( op2( skol1,
% 1.61/2.01 skol2 ) ), ! sorti2( skol1 ), ! sorti2( skol2 ) }.
% 1.61/2.01 parent1[0]: (3) {G0,W2,D2,L1,V0,M1} I { sorti2( skol1 ) }.
% 1.61/2.01 substitution0:
% 1.61/2.01 end
% 1.61/2.01 substitution1:
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 eqswap: (9794) {G1,W9,D4,L2,V0,M2} { j( op2( skol1, skol2 ) ) ==> j( skol1
% 1.61/2.01 ), ! sorti2( skol2 ) }.
% 1.61/2.01 parent0[0]: (9793) {G1,W9,D4,L2,V0,M2} { j( skol1 ) ==> j( op2( skol1,
% 1.61/2.01 skol2 ) ), ! sorti2( skol2 ) }.
% 1.61/2.01 substitution0:
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 subsumption: (1474) {G5,W9,D4,L2,V0,M2} P(1471,10);r(3) { ! sorti2( skol2 )
% 1.61/2.01 , j( op2( skol1, skol2 ) ) ==> j( skol1 ) }.
% 1.61/2.01 parent0: (9794) {G1,W9,D4,L2,V0,M2} { j( op2( skol1, skol2 ) ) ==> j(
% 1.61/2.01 skol1 ), ! sorti2( skol2 ) }.
% 1.61/2.01 substitution0:
% 1.61/2.01 end
% 1.61/2.01 permutation0:
% 1.61/2.01 0 ==> 1
% 1.61/2.01 1 ==> 0
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 resolution: (9796) {G1,W7,D4,L1,V0,M1} { j( op2( skol1, skol2 ) ) ==> j(
% 1.61/2.01 skol1 ) }.
% 1.61/2.01 parent0[0]: (1474) {G5,W9,D4,L2,V0,M2} P(1471,10);r(3) { ! sorti2( skol2 )
% 1.61/2.01 , j( op2( skol1, skol2 ) ) ==> j( skol1 ) }.
% 1.61/2.01 parent1[0]: (4) {G0,W2,D2,L1,V0,M1} I { sorti2( skol2 ) }.
% 1.61/2.01 substitution0:
% 1.61/2.01 end
% 1.61/2.01 substitution1:
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 subsumption: (9618) {G6,W7,D4,L1,V0,M1} S(1474);r(4) { j( op2( skol1, skol2
% 1.61/2.01 ) ) ==> j( skol1 ) }.
% 1.61/2.01 parent0: (9796) {G1,W7,D4,L1,V0,M1} { j( op2( skol1, skol2 ) ) ==> j(
% 1.61/2.01 skol1 ) }.
% 1.61/2.01 substitution0:
% 1.61/2.01 end
% 1.61/2.01 permutation0:
% 1.61/2.01 0 ==> 0
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 eqswap: (9799) {G0,W7,D4,L2,V1,M2} { X ==> h( j( X ) ), ! sorti2( X ) }.
% 1.61/2.01 parent0[1]: (11) {G0,W7,D4,L2,V1,M2} I { ! sorti2( X ), h( j( X ) ) ==> X
% 1.61/2.01 }.
% 1.61/2.01 substitution0:
% 1.61/2.01 X := X
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 paramod: (9801) {G1,W11,D4,L2,V0,M2} { op2( skol1, skol2 ) ==> h( j( skol1
% 1.61/2.01 ) ), ! sorti2( op2( skol1, skol2 ) ) }.
% 1.61/2.01 parent0[0]: (9618) {G6,W7,D4,L1,V0,M1} S(1474);r(4) { j( op2( skol1, skol2
% 1.61/2.01 ) ) ==> j( skol1 ) }.
% 1.61/2.01 parent1[0; 5]: (9799) {G0,W7,D4,L2,V1,M2} { X ==> h( j( X ) ), ! sorti2( X
% 1.61/2.01 ) }.
% 1.61/2.01 substitution0:
% 1.61/2.01 end
% 1.61/2.01 substitution1:
% 1.61/2.01 X := op2( skol1, skol2 )
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 paramod: (9802) {G2,W9,D3,L2,V0,M2} { op2( skol1, skol2 ) ==> skol1, !
% 1.61/2.01 sorti2( op2( skol1, skol2 ) ) }.
% 1.61/2.01 parent0[0]: (220) {G1,W5,D4,L1,V0,M1} R(11,3) { h( j( skol1 ) ) ==> skol1
% 1.61/2.01 }.
% 1.61/2.01 parent1[0; 4]: (9801) {G1,W11,D4,L2,V0,M2} { op2( skol1, skol2 ) ==> h( j
% 1.61/2.01 ( skol1 ) ), ! sorti2( op2( skol1, skol2 ) ) }.
% 1.61/2.01 substitution0:
% 1.61/2.01 end
% 1.61/2.01 substitution1:
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 resolution: (9803) {G3,W5,D3,L1,V0,M1} { op2( skol1, skol2 ) ==> skol1 }.
% 1.61/2.01 parent0[1]: (9802) {G2,W9,D3,L2,V0,M2} { op2( skol1, skol2 ) ==> skol1, !
% 1.61/2.01 sorti2( op2( skol1, skol2 ) ) }.
% 1.61/2.01 parent1[0]: (78) {G2,W4,D3,L1,V0,M1} R(48,4) { sorti2( op2( skol1, skol2 )
% 1.61/2.01 ) }.
% 1.61/2.01 substitution0:
% 1.61/2.01 end
% 1.61/2.01 substitution1:
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 subsumption: (9620) {G7,W5,D3,L1,V0,M1} P(9618,11);d(220);r(78) { op2(
% 1.61/2.01 skol1, skol2 ) ==> skol1 }.
% 1.61/2.01 parent0: (9803) {G3,W5,D3,L1,V0,M1} { op2( skol1, skol2 ) ==> skol1 }.
% 1.61/2.01 substitution0:
% 1.61/2.01 end
% 1.61/2.01 permutation0:
% 1.61/2.01 0 ==> 0
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 resolution: (9807) {G1,W0,D0,L0,V0,M0} { }.
% 1.61/2.01 parent0[0]: (6) {G0,W5,D3,L1,V0,M1} I { ! op2( skol1, skol2 ) ==> skol1 }.
% 1.61/2.01 parent1[0]: (9620) {G7,W5,D3,L1,V0,M1} P(9618,11);d(220);r(78) { op2( skol1
% 1.61/2.01 , skol2 ) ==> skol1 }.
% 1.61/2.01 substitution0:
% 1.61/2.01 end
% 1.61/2.01 substitution1:
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 subsumption: (9621) {G8,W0,D0,L0,V0,M0} S(9620);r(6) { }.
% 1.61/2.01 parent0: (9807) {G1,W0,D0,L0,V0,M0} { }.
% 1.61/2.01 substitution0:
% 1.61/2.01 end
% 1.61/2.01 permutation0:
% 1.61/2.01 end
% 1.61/2.01
% 1.61/2.01 Proof check complete!
% 1.61/2.01
% 1.61/2.01 Memory use:
% 1.61/2.01
% 1.61/2.01 space for terms: 129142
% 1.61/2.01 space for clauses: 520832
% 1.61/2.01
% 1.61/2.01
% 1.61/2.01 clauses generated: 19892
% 1.61/2.01 clauses kept: 9622
% 1.61/2.01 clauses selected: 232
% 1.61/2.01 clauses deleted: 41
% 1.61/2.01 clauses inuse deleted: 9
% 1.61/2.01
% 1.61/2.01 subsentry: 62428
% 1.61/2.01 literals s-matched: 18609
% 1.61/2.01 literals matched: 18607
% 1.61/2.01 full subsumption: 8065
% 1.61/2.01
% 1.61/2.01 checksum: -449136195
% 1.61/2.01
% 1.61/2.01
% 1.61/2.01 Bliksem ended
%------------------------------------------------------------------------------