TSTP Solution File: ALG203+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG203+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n022.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 12:09:55 EDT 2022
% Result : Theorem 0.47s 1.16s
% Output : Refutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG203+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Thu Jun 9 02:22:19 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.47/1.16 *** allocated 10000 integers for termspace/termends
% 0.47/1.16 *** allocated 10000 integers for clauses
% 0.47/1.16 *** allocated 10000 integers for justifications
% 0.47/1.16 Bliksem 1.12
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16 Automatic Strategy Selection
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16 Clauses:
% 0.47/1.16
% 0.47/1.16 { ! sorti1( X ), ! sorti1( Y ), sorti1( op1( X, Y ) ) }.
% 0.47/1.16 { ! sorti2( X ), ! sorti2( Y ), sorti2( op2( X, Y ) ) }.
% 0.47/1.16 { sorti1( skol1 ) }.
% 0.47/1.16 { op1( skol1, skol1 ) = skol1 }.
% 0.47/1.16 { sorti1( skol2 ) }.
% 0.47/1.16 { ! op1( skol2, skol2 ) = skol2 }.
% 0.47/1.16 { ! sorti2( X ), ! op2( X, X ) = X, ! sorti2( Y ), op2( Y, Y ) = Y }.
% 0.47/1.16 { ! sorti1( X ), sorti2( h( X ) ) }.
% 0.47/1.16 { ! sorti2( X ), sorti1( j( X ) ) }.
% 0.47/1.16 { ! sorti1( X ), ! sorti1( Y ), h( op1( X, Y ) ) = op2( h( X ), h( Y ) ) }
% 0.47/1.16 .
% 0.47/1.16 { ! sorti2( X ), ! sorti2( Y ), j( op2( X, Y ) ) = op1( j( X ), j( Y ) ) }
% 0.47/1.16 .
% 0.47/1.16 { ! sorti2( X ), h( j( X ) ) = X }.
% 0.47/1.16 { ! sorti1( X ), j( h( X ) ) = X }.
% 0.47/1.16
% 0.47/1.16 percentage equality = 0.285714, percentage horn = 1.000000
% 0.47/1.16 This is a problem with some equality
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16 Options Used:
% 0.47/1.16
% 0.47/1.16 useres = 1
% 0.47/1.16 useparamod = 1
% 0.47/1.16 useeqrefl = 1
% 0.47/1.16 useeqfact = 1
% 0.47/1.16 usefactor = 1
% 0.47/1.16 usesimpsplitting = 0
% 0.47/1.16 usesimpdemod = 5
% 0.47/1.16 usesimpres = 3
% 0.47/1.16
% 0.47/1.16 resimpinuse = 1000
% 0.47/1.16 resimpclauses = 20000
% 0.47/1.16 substype = eqrewr
% 0.47/1.16 backwardsubs = 1
% 0.47/1.16 selectoldest = 5
% 0.47/1.16
% 0.47/1.16 litorderings [0] = split
% 0.47/1.16 litorderings [1] = extend the termordering, first sorting on arguments
% 0.47/1.16
% 0.47/1.16 termordering = kbo
% 0.47/1.16
% 0.47/1.16 litapriori = 0
% 0.47/1.16 termapriori = 1
% 0.47/1.16 litaposteriori = 0
% 0.47/1.16 termaposteriori = 0
% 0.47/1.16 demodaposteriori = 0
% 0.47/1.16 ordereqreflfact = 0
% 0.47/1.16
% 0.47/1.16 litselect = negord
% 0.47/1.16
% 0.47/1.16 maxweight = 15
% 0.47/1.16 maxdepth = 30000
% 0.47/1.16 maxlength = 115
% 0.47/1.16 maxnrvars = 195
% 0.47/1.16 excuselevel = 1
% 0.47/1.16 increasemaxweight = 1
% 0.47/1.16
% 0.47/1.16 maxselected = 10000000
% 0.47/1.16 maxnrclauses = 10000000
% 0.47/1.16
% 0.47/1.16 showgenerated = 0
% 0.47/1.16 showkept = 0
% 0.47/1.16 showselected = 0
% 0.47/1.16 showdeleted = 0
% 0.47/1.16 showresimp = 1
% 0.47/1.16 showstatus = 2000
% 0.47/1.16
% 0.47/1.16 prologoutput = 0
% 0.47/1.16 nrgoals = 5000000
% 0.47/1.16 totalproof = 1
% 0.47/1.16
% 0.47/1.16 Symbols occurring in the translation:
% 0.47/1.16
% 0.47/1.16 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.47/1.16 . [1, 2] (w:1, o:25, a:1, s:1, b:0),
% 0.47/1.16 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.47/1.16 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.47/1.16 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.47/1.16 sorti1 [36, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.47/1.16 op1 [38, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.47/1.16 sorti2 [39, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.47/1.16 op2 [40, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.47/1.16 h [41, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.47/1.16 j [42, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.47/1.16 skol1 [49, 0] (w:1, o:14, a:1, s:1, b:1),
% 0.47/1.16 skol2 [50, 0] (w:1, o:15, a:1, s:1, b:1).
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16 Starting Search:
% 0.47/1.16
% 0.47/1.16 *** allocated 15000 integers for clauses
% 0.47/1.16 *** allocated 22500 integers for clauses
% 0.47/1.16 *** allocated 33750 integers for clauses
% 0.47/1.16 *** allocated 50625 integers for clauses
% 0.47/1.16 *** allocated 15000 integers for termspace/termends
% 0.47/1.16 *** allocated 75937 integers for clauses
% 0.47/1.16 Resimplifying inuse:
% 0.47/1.16 Done
% 0.47/1.16
% 0.47/1.16 *** allocated 22500 integers for termspace/termends
% 0.47/1.16 *** allocated 113905 integers for clauses
% 0.47/1.16
% 0.47/1.16 Bliksems!, er is een bewijs:
% 0.47/1.16 % SZS status Theorem
% 0.47/1.16 % SZS output start Refutation
% 0.47/1.16
% 0.47/1.16 (0) {G0,W8,D3,L3,V2,M3} I { ! sorti1( X ), ! sorti1( Y ), sorti1( op1( X, Y
% 0.47/1.16 ) ) }.
% 0.47/1.16 (2) {G0,W2,D2,L1,V0,M1} I { sorti1( skol1 ) }.
% 0.47/1.16 (3) {G0,W5,D3,L1,V0,M1} I { op1( skol1, skol1 ) ==> skol1 }.
% 0.47/1.16 (4) {G0,W2,D2,L1,V0,M1} I { sorti1( skol2 ) }.
% 0.47/1.16 (5) {G0,W5,D3,L1,V0,M1} I { ! op1( skol2, skol2 ) ==> skol2 }.
% 0.47/1.16 (6) {G0,W14,D3,L4,V2,M4} I { ! sorti2( X ), ! op2( X, X ) ==> X, ! sorti2(
% 0.47/1.16 Y ), op2( Y, Y ) ==> Y }.
% 0.47/1.16 (7) {G0,W5,D3,L2,V1,M2} I { ! sorti1( X ), sorti2( h( X ) ) }.
% 0.47/1.16 (8) {G0,W5,D3,L2,V1,M2} I { ! sorti2( X ), sorti1( j( X ) ) }.
% 0.47/1.16 (9) {G0,W14,D4,L3,V2,M3} I { ! sorti1( X ), ! sorti1( Y ), op2( h( X ), h(
% 0.47/1.16 Y ) ) ==> h( op1( X, Y ) ) }.
% 0.47/1.16 (11) {G0,W7,D4,L2,V1,M2} I { ! sorti2( X ), h( j( X ) ) ==> X }.
% 0.47/1.16 (12) {G0,W7,D4,L2,V1,M2} I { ! sorti1( X ), j( h( X ) ) ==> X }.
% 0.47/1.16 (15) {G1,W12,D4,L2,V1,M2} F(9) { ! sorti1( X ), op2( h( X ), h( X ) ) ==> h
% 0.47/1.16 ( op1( X, X ) ) }.
% 0.47/1.16 (23) {G1,W6,D3,L2,V1,M2} R(0,4) { ! sorti1( X ), sorti1( op1( skol2, X ) )
% 0.47/1.16 }.
% 0.47/1.16 (34) {G1,W3,D3,L1,V0,M1} R(7,2) { sorti2( h( skol1 ) ) }.
% 0.47/1.16 (35) {G1,W3,D3,L1,V0,M1} R(7,4) { sorti2( h( skol2 ) ) }.
% 0.47/1.16 (37) {G2,W4,D4,L1,V0,M1} R(34,8) { sorti1( j( h( skol1 ) ) ) }.
% 0.47/1.16 (38) {G2,W4,D4,L1,V0,M1} R(35,8) { sorti1( j( h( skol2 ) ) ) }.
% 0.47/1.16 (141) {G2,W4,D3,L1,V0,M1} R(23,4) { sorti1( op1( skol2, skol2 ) ) }.
% 0.47/1.16 (214) {G2,W7,D5,L1,V0,M1} R(11,35) { h( j( h( skol2 ) ) ) ==> h( skol2 )
% 0.47/1.16 }.
% 0.47/1.16 (215) {G2,W7,D5,L1,V0,M1} R(11,34) { h( j( h( skol1 ) ) ) ==> h( skol1 )
% 0.47/1.16 }.
% 0.47/1.16 (257) {G1,W5,D4,L1,V0,M1} R(12,2) { j( h( skol1 ) ) ==> skol1 }.
% 0.47/1.16 (258) {G1,W5,D4,L1,V0,M1} R(12,4) { j( h( skol2 ) ) ==> skol2 }.
% 0.47/1.16 (281) {G3,W8,D4,L1,V0,M1} R(15,37);d(215);d(257);d(3) { op2( h( skol1 ), h
% 0.47/1.16 ( skol1 ) ) ==> h( skol1 ) }.
% 0.47/1.16 (282) {G3,W10,D4,L1,V0,M1} R(15,38);d(214);d(258) { op2( h( skol2 ), h(
% 0.47/1.16 skol2 ) ) ==> h( op1( skol2, skol2 ) ) }.
% 0.47/1.16 (1561) {G4,W7,D3,L2,V1,M2} R(281,6);r(34) { ! sorti2( X ), op2( X, X ) ==>
% 0.47/1.16 X }.
% 0.47/1.16 (1566) {G5,W7,D4,L1,V0,M1} R(1561,35);d(282) { h( op1( skol2, skol2 ) ) ==>
% 0.47/1.16 h( skol2 ) }.
% 0.47/1.16 (1686) {G6,W5,D3,L1,V0,M1} P(1566,12);d(258);r(141) { op1( skol2, skol2 )
% 0.47/1.16 ==> skol2 }.
% 0.47/1.16 (1687) {G7,W0,D0,L0,V0,M0} S(1686);r(5) { }.
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16 % SZS output end Refutation
% 0.47/1.16 found a proof!
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16 Unprocessed initial clauses:
% 0.47/1.16
% 0.47/1.16 (1689) {G0,W8,D3,L3,V2,M3} { ! sorti1( X ), ! sorti1( Y ), sorti1( op1( X
% 0.47/1.16 , Y ) ) }.
% 0.47/1.16 (1690) {G0,W8,D3,L3,V2,M3} { ! sorti2( X ), ! sorti2( Y ), sorti2( op2( X
% 0.47/1.16 , Y ) ) }.
% 0.47/1.16 (1691) {G0,W2,D2,L1,V0,M1} { sorti1( skol1 ) }.
% 0.47/1.16 (1692) {G0,W5,D3,L1,V0,M1} { op1( skol1, skol1 ) = skol1 }.
% 0.47/1.16 (1693) {G0,W2,D2,L1,V0,M1} { sorti1( skol2 ) }.
% 0.47/1.16 (1694) {G0,W5,D3,L1,V0,M1} { ! op1( skol2, skol2 ) = skol2 }.
% 0.47/1.16 (1695) {G0,W14,D3,L4,V2,M4} { ! sorti2( X ), ! op2( X, X ) = X, ! sorti2(
% 0.47/1.16 Y ), op2( Y, Y ) = Y }.
% 0.47/1.16 (1696) {G0,W5,D3,L2,V1,M2} { ! sorti1( X ), sorti2( h( X ) ) }.
% 0.47/1.16 (1697) {G0,W5,D3,L2,V1,M2} { ! sorti2( X ), sorti1( j( X ) ) }.
% 0.47/1.16 (1698) {G0,W14,D4,L3,V2,M3} { ! sorti1( X ), ! sorti1( Y ), h( op1( X, Y )
% 0.47/1.16 ) = op2( h( X ), h( Y ) ) }.
% 0.47/1.16 (1699) {G0,W14,D4,L3,V2,M3} { ! sorti2( X ), ! sorti2( Y ), j( op2( X, Y )
% 0.47/1.16 ) = op1( j( X ), j( Y ) ) }.
% 0.47/1.16 (1700) {G0,W7,D4,L2,V1,M2} { ! sorti2( X ), h( j( X ) ) = X }.
% 0.47/1.16 (1701) {G0,W7,D4,L2,V1,M2} { ! sorti1( X ), j( h( X ) ) = X }.
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16 Total Proof:
% 0.47/1.16
% 0.47/1.16 subsumption: (0) {G0,W8,D3,L3,V2,M3} I { ! sorti1( X ), ! sorti1( Y ),
% 0.47/1.16 sorti1( op1( X, Y ) ) }.
% 0.47/1.16 parent0: (1689) {G0,W8,D3,L3,V2,M3} { ! sorti1( X ), ! sorti1( Y ), sorti1
% 0.47/1.16 ( op1( X, Y ) ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 X := X
% 0.47/1.16 Y := Y
% 0.47/1.16 end
% 0.47/1.16 permutation0:
% 0.47/1.16 0 ==> 0
% 0.47/1.16 1 ==> 1
% 0.47/1.16 2 ==> 2
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 subsumption: (2) {G0,W2,D2,L1,V0,M1} I { sorti1( skol1 ) }.
% 0.47/1.16 parent0: (1691) {G0,W2,D2,L1,V0,M1} { sorti1( skol1 ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 end
% 0.47/1.16 permutation0:
% 0.47/1.16 0 ==> 0
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 subsumption: (3) {G0,W5,D3,L1,V0,M1} I { op1( skol1, skol1 ) ==> skol1 }.
% 0.47/1.16 parent0: (1692) {G0,W5,D3,L1,V0,M1} { op1( skol1, skol1 ) = skol1 }.
% 0.47/1.16 substitution0:
% 0.47/1.16 end
% 0.47/1.16 permutation0:
% 0.47/1.16 0 ==> 0
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 subsumption: (4) {G0,W2,D2,L1,V0,M1} I { sorti1( skol2 ) }.
% 0.47/1.16 parent0: (1693) {G0,W2,D2,L1,V0,M1} { sorti1( skol2 ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 end
% 0.47/1.16 permutation0:
% 0.47/1.16 0 ==> 0
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 subsumption: (5) {G0,W5,D3,L1,V0,M1} I { ! op1( skol2, skol2 ) ==> skol2
% 0.47/1.16 }.
% 0.47/1.16 parent0: (1694) {G0,W5,D3,L1,V0,M1} { ! op1( skol2, skol2 ) = skol2 }.
% 0.47/1.16 substitution0:
% 0.47/1.16 end
% 0.47/1.16 permutation0:
% 0.47/1.16 0 ==> 0
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 subsumption: (6) {G0,W14,D3,L4,V2,M4} I { ! sorti2( X ), ! op2( X, X ) ==>
% 0.47/1.16 X, ! sorti2( Y ), op2( Y, Y ) ==> Y }.
% 0.47/1.16 parent0: (1695) {G0,W14,D3,L4,V2,M4} { ! sorti2( X ), ! op2( X, X ) = X, !
% 0.47/1.16 sorti2( Y ), op2( Y, Y ) = Y }.
% 0.47/1.16 substitution0:
% 0.47/1.16 X := X
% 0.47/1.16 Y := Y
% 0.47/1.16 end
% 0.47/1.16 permutation0:
% 0.47/1.16 0 ==> 0
% 0.47/1.16 1 ==> 1
% 0.47/1.16 2 ==> 2
% 0.47/1.16 3 ==> 3
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 subsumption: (7) {G0,W5,D3,L2,V1,M2} I { ! sorti1( X ), sorti2( h( X ) )
% 0.47/1.16 }.
% 0.47/1.16 parent0: (1696) {G0,W5,D3,L2,V1,M2} { ! sorti1( X ), sorti2( h( X ) ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 X := X
% 0.47/1.16 end
% 0.47/1.16 permutation0:
% 0.47/1.16 0 ==> 0
% 0.47/1.16 1 ==> 1
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 subsumption: (8) {G0,W5,D3,L2,V1,M2} I { ! sorti2( X ), sorti1( j( X ) )
% 0.47/1.16 }.
% 0.47/1.16 parent0: (1697) {G0,W5,D3,L2,V1,M2} { ! sorti2( X ), sorti1( j( X ) ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 X := X
% 0.47/1.16 end
% 0.47/1.16 permutation0:
% 0.47/1.16 0 ==> 0
% 0.47/1.16 1 ==> 1
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 eqswap: (1759) {G0,W14,D4,L3,V2,M3} { op2( h( X ), h( Y ) ) = h( op1( X, Y
% 0.47/1.16 ) ), ! sorti1( X ), ! sorti1( Y ) }.
% 0.47/1.16 parent0[2]: (1698) {G0,W14,D4,L3,V2,M3} { ! sorti1( X ), ! sorti1( Y ), h
% 0.47/1.16 ( op1( X, Y ) ) = op2( h( X ), h( Y ) ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 X := X
% 0.47/1.16 Y := Y
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 subsumption: (9) {G0,W14,D4,L3,V2,M3} I { ! sorti1( X ), ! sorti1( Y ), op2
% 0.47/1.16 ( h( X ), h( Y ) ) ==> h( op1( X, Y ) ) }.
% 0.47/1.16 parent0: (1759) {G0,W14,D4,L3,V2,M3} { op2( h( X ), h( Y ) ) = h( op1( X,
% 0.47/1.16 Y ) ), ! sorti1( X ), ! sorti1( Y ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 X := X
% 0.47/1.16 Y := Y
% 0.47/1.16 end
% 0.47/1.16 permutation0:
% 0.47/1.16 0 ==> 2
% 0.47/1.16 1 ==> 0
% 0.47/1.16 2 ==> 1
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 *** allocated 33750 integers for termspace/termends
% 0.47/1.16 subsumption: (11) {G0,W7,D4,L2,V1,M2} I { ! sorti2( X ), h( j( X ) ) ==> X
% 0.47/1.16 }.
% 0.47/1.16 parent0: (1700) {G0,W7,D4,L2,V1,M2} { ! sorti2( X ), h( j( X ) ) = X }.
% 0.47/1.16 substitution0:
% 0.47/1.16 X := X
% 0.47/1.16 end
% 0.47/1.16 permutation0:
% 0.47/1.16 0 ==> 0
% 0.47/1.16 1 ==> 1
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 subsumption: (12) {G0,W7,D4,L2,V1,M2} I { ! sorti1( X ), j( h( X ) ) ==> X
% 0.47/1.16 }.
% 0.47/1.16 parent0: (1701) {G0,W7,D4,L2,V1,M2} { ! sorti1( X ), j( h( X ) ) = X }.
% 0.47/1.16 substitution0:
% 0.47/1.16 X := X
% 0.47/1.16 end
% 0.47/1.16 permutation0:
% 0.47/1.16 0 ==> 0
% 0.47/1.16 1 ==> 1
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 factor: (1800) {G0,W12,D4,L2,V1,M2} { ! sorti1( X ), op2( h( X ), h( X ) )
% 0.47/1.16 ==> h( op1( X, X ) ) }.
% 0.47/1.16 parent0[0, 1]: (9) {G0,W14,D4,L3,V2,M3} I { ! sorti1( X ), ! sorti1( Y ),
% 0.47/1.16 op2( h( X ), h( Y ) ) ==> h( op1( X, Y ) ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 X := X
% 0.47/1.16 Y := X
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 subsumption: (15) {G1,W12,D4,L2,V1,M2} F(9) { ! sorti1( X ), op2( h( X ), h
% 0.47/1.16 ( X ) ) ==> h( op1( X, X ) ) }.
% 0.47/1.16 parent0: (1800) {G0,W12,D4,L2,V1,M2} { ! sorti1( X ), op2( h( X ), h( X )
% 0.47/1.16 ) ==> h( op1( X, X ) ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 X := X
% 0.47/1.16 end
% 0.47/1.16 permutation0:
% 0.47/1.16 0 ==> 0
% 0.47/1.16 1 ==> 1
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 resolution: (1802) {G1,W6,D3,L2,V1,M2} { ! sorti1( X ), sorti1( op1( skol2
% 0.47/1.16 , X ) ) }.
% 0.47/1.16 parent0[0]: (0) {G0,W8,D3,L3,V2,M3} I { ! sorti1( X ), ! sorti1( Y ),
% 0.47/1.16 sorti1( op1( X, Y ) ) }.
% 0.47/1.16 parent1[0]: (4) {G0,W2,D2,L1,V0,M1} I { sorti1( skol2 ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 X := skol2
% 0.47/1.16 Y := X
% 0.47/1.16 end
% 0.47/1.16 substitution1:
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 subsumption: (23) {G1,W6,D3,L2,V1,M2} R(0,4) { ! sorti1( X ), sorti1( op1(
% 0.47/1.16 skol2, X ) ) }.
% 0.47/1.16 parent0: (1802) {G1,W6,D3,L2,V1,M2} { ! sorti1( X ), sorti1( op1( skol2, X
% 0.47/1.16 ) ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 X := X
% 0.47/1.16 end
% 0.47/1.16 permutation0:
% 0.47/1.16 0 ==> 0
% 0.47/1.16 1 ==> 1
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 resolution: (1804) {G1,W3,D3,L1,V0,M1} { sorti2( h( skol1 ) ) }.
% 0.47/1.16 parent0[0]: (7) {G0,W5,D3,L2,V1,M2} I { ! sorti1( X ), sorti2( h( X ) ) }.
% 0.47/1.16 parent1[0]: (2) {G0,W2,D2,L1,V0,M1} I { sorti1( skol1 ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 X := skol1
% 0.47/1.16 end
% 0.47/1.16 substitution1:
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 subsumption: (34) {G1,W3,D3,L1,V0,M1} R(7,2) { sorti2( h( skol1 ) ) }.
% 0.47/1.16 parent0: (1804) {G1,W3,D3,L1,V0,M1} { sorti2( h( skol1 ) ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 end
% 0.47/1.16 permutation0:
% 0.47/1.16 0 ==> 0
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 resolution: (1805) {G1,W3,D3,L1,V0,M1} { sorti2( h( skol2 ) ) }.
% 0.47/1.16 parent0[0]: (7) {G0,W5,D3,L2,V1,M2} I { ! sorti1( X ), sorti2( h( X ) ) }.
% 0.47/1.16 parent1[0]: (4) {G0,W2,D2,L1,V0,M1} I { sorti1( skol2 ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 X := skol2
% 0.47/1.16 end
% 0.47/1.16 substitution1:
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 subsumption: (35) {G1,W3,D3,L1,V0,M1} R(7,4) { sorti2( h( skol2 ) ) }.
% 0.47/1.16 parent0: (1805) {G1,W3,D3,L1,V0,M1} { sorti2( h( skol2 ) ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 end
% 0.47/1.16 permutation0:
% 0.47/1.16 0 ==> 0
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 resolution: (1806) {G1,W4,D4,L1,V0,M1} { sorti1( j( h( skol1 ) ) ) }.
% 0.47/1.16 parent0[0]: (8) {G0,W5,D3,L2,V1,M2} I { ! sorti2( X ), sorti1( j( X ) ) }.
% 0.47/1.16 parent1[0]: (34) {G1,W3,D3,L1,V0,M1} R(7,2) { sorti2( h( skol1 ) ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 X := h( skol1 )
% 0.47/1.16 end
% 0.47/1.16 substitution1:
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 subsumption: (37) {G2,W4,D4,L1,V0,M1} R(34,8) { sorti1( j( h( skol1 ) ) )
% 0.47/1.16 }.
% 0.47/1.16 parent0: (1806) {G1,W4,D4,L1,V0,M1} { sorti1( j( h( skol1 ) ) ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 end
% 0.47/1.16 permutation0:
% 0.47/1.16 0 ==> 0
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 resolution: (1807) {G1,W4,D4,L1,V0,M1} { sorti1( j( h( skol2 ) ) ) }.
% 0.47/1.16 parent0[0]: (8) {G0,W5,D3,L2,V1,M2} I { ! sorti2( X ), sorti1( j( X ) ) }.
% 0.47/1.16 parent1[0]: (35) {G1,W3,D3,L1,V0,M1} R(7,4) { sorti2( h( skol2 ) ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 X := h( skol2 )
% 0.47/1.16 end
% 0.47/1.16 substitution1:
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 subsumption: (38) {G2,W4,D4,L1,V0,M1} R(35,8) { sorti1( j( h( skol2 ) ) )
% 0.47/1.16 }.
% 0.47/1.16 parent0: (1807) {G1,W4,D4,L1,V0,M1} { sorti1( j( h( skol2 ) ) ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 end
% 0.47/1.16 permutation0:
% 0.47/1.16 0 ==> 0
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 resolution: (1808) {G1,W4,D3,L1,V0,M1} { sorti1( op1( skol2, skol2 ) ) }.
% 0.47/1.16 parent0[0]: (23) {G1,W6,D3,L2,V1,M2} R(0,4) { ! sorti1( X ), sorti1( op1(
% 0.47/1.16 skol2, X ) ) }.
% 0.47/1.16 parent1[0]: (4) {G0,W2,D2,L1,V0,M1} I { sorti1( skol2 ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 X := skol2
% 0.47/1.16 end
% 0.47/1.16 substitution1:
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 subsumption: (141) {G2,W4,D3,L1,V0,M1} R(23,4) { sorti1( op1( skol2, skol2
% 0.47/1.16 ) ) }.
% 0.47/1.16 parent0: (1808) {G1,W4,D3,L1,V0,M1} { sorti1( op1( skol2, skol2 ) ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 end
% 0.47/1.16 permutation0:
% 0.47/1.16 0 ==> 0
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 eqswap: (1809) {G0,W7,D4,L2,V1,M2} { X ==> h( j( X ) ), ! sorti2( X ) }.
% 0.47/1.16 parent0[1]: (11) {G0,W7,D4,L2,V1,M2} I { ! sorti2( X ), h( j( X ) ) ==> X
% 0.47/1.16 }.
% 0.47/1.16 substitution0:
% 0.47/1.16 X := X
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 resolution: (1810) {G1,W7,D5,L1,V0,M1} { h( skol2 ) ==> h( j( h( skol2 ) )
% 0.47/1.16 ) }.
% 0.47/1.16 parent0[1]: (1809) {G0,W7,D4,L2,V1,M2} { X ==> h( j( X ) ), ! sorti2( X )
% 0.47/1.16 }.
% 0.47/1.16 parent1[0]: (35) {G1,W3,D3,L1,V0,M1} R(7,4) { sorti2( h( skol2 ) ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 X := h( skol2 )
% 0.47/1.16 end
% 0.47/1.16 substitution1:
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 eqswap: (1811) {G1,W7,D5,L1,V0,M1} { h( j( h( skol2 ) ) ) ==> h( skol2 )
% 0.47/1.16 }.
% 0.47/1.16 parent0[0]: (1810) {G1,W7,D5,L1,V0,M1} { h( skol2 ) ==> h( j( h( skol2 ) )
% 0.47/1.16 ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 subsumption: (214) {G2,W7,D5,L1,V0,M1} R(11,35) { h( j( h( skol2 ) ) ) ==>
% 0.47/1.16 h( skol2 ) }.
% 0.47/1.16 parent0: (1811) {G1,W7,D5,L1,V0,M1} { h( j( h( skol2 ) ) ) ==> h( skol2 )
% 0.47/1.16 }.
% 0.47/1.16 substitution0:
% 0.47/1.16 end
% 0.47/1.16 permutation0:
% 0.47/1.16 0 ==> 0
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 eqswap: (1812) {G0,W7,D4,L2,V1,M2} { X ==> h( j( X ) ), ! sorti2( X ) }.
% 0.47/1.16 parent0[1]: (11) {G0,W7,D4,L2,V1,M2} I { ! sorti2( X ), h( j( X ) ) ==> X
% 0.47/1.16 }.
% 0.47/1.16 substitution0:
% 0.47/1.16 X := X
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 resolution: (1813) {G1,W7,D5,L1,V0,M1} { h( skol1 ) ==> h( j( h( skol1 ) )
% 0.47/1.16 ) }.
% 0.47/1.16 parent0[1]: (1812) {G0,W7,D4,L2,V1,M2} { X ==> h( j( X ) ), ! sorti2( X )
% 0.47/1.16 }.
% 0.47/1.16 parent1[0]: (34) {G1,W3,D3,L1,V0,M1} R(7,2) { sorti2( h( skol1 ) ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 X := h( skol1 )
% 0.47/1.16 end
% 0.47/1.16 substitution1:
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 eqswap: (1814) {G1,W7,D5,L1,V0,M1} { h( j( h( skol1 ) ) ) ==> h( skol1 )
% 0.47/1.16 }.
% 0.47/1.16 parent0[0]: (1813) {G1,W7,D5,L1,V0,M1} { h( skol1 ) ==> h( j( h( skol1 ) )
% 0.47/1.16 ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 subsumption: (215) {G2,W7,D5,L1,V0,M1} R(11,34) { h( j( h( skol1 ) ) ) ==>
% 0.47/1.16 h( skol1 ) }.
% 0.47/1.16 parent0: (1814) {G1,W7,D5,L1,V0,M1} { h( j( h( skol1 ) ) ) ==> h( skol1 )
% 0.47/1.16 }.
% 0.47/1.16 substitution0:
% 0.47/1.16 end
% 0.47/1.16 permutation0:
% 0.47/1.16 0 ==> 0
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 eqswap: (1815) {G0,W7,D4,L2,V1,M2} { X ==> j( h( X ) ), ! sorti1( X ) }.
% 0.47/1.16 parent0[1]: (12) {G0,W7,D4,L2,V1,M2} I { ! sorti1( X ), j( h( X ) ) ==> X
% 0.47/1.16 }.
% 0.47/1.16 substitution0:
% 0.47/1.16 X := X
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 resolution: (1816) {G1,W5,D4,L1,V0,M1} { skol1 ==> j( h( skol1 ) ) }.
% 0.47/1.16 parent0[1]: (1815) {G0,W7,D4,L2,V1,M2} { X ==> j( h( X ) ), ! sorti1( X )
% 0.47/1.16 }.
% 0.47/1.16 parent1[0]: (2) {G0,W2,D2,L1,V0,M1} I { sorti1( skol1 ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 X := skol1
% 0.47/1.16 end
% 0.47/1.16 substitution1:
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 eqswap: (1817) {G1,W5,D4,L1,V0,M1} { j( h( skol1 ) ) ==> skol1 }.
% 0.47/1.16 parent0[0]: (1816) {G1,W5,D4,L1,V0,M1} { skol1 ==> j( h( skol1 ) ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 subsumption: (257) {G1,W5,D4,L1,V0,M1} R(12,2) { j( h( skol1 ) ) ==> skol1
% 0.47/1.16 }.
% 0.47/1.16 parent0: (1817) {G1,W5,D4,L1,V0,M1} { j( h( skol1 ) ) ==> skol1 }.
% 0.47/1.16 substitution0:
% 0.47/1.16 end
% 0.47/1.16 permutation0:
% 0.47/1.16 0 ==> 0
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 eqswap: (1818) {G0,W7,D4,L2,V1,M2} { X ==> j( h( X ) ), ! sorti1( X ) }.
% 0.47/1.16 parent0[1]: (12) {G0,W7,D4,L2,V1,M2} I { ! sorti1( X ), j( h( X ) ) ==> X
% 0.47/1.16 }.
% 0.47/1.16 substitution0:
% 0.47/1.16 X := X
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 resolution: (1819) {G1,W5,D4,L1,V0,M1} { skol2 ==> j( h( skol2 ) ) }.
% 0.47/1.16 parent0[1]: (1818) {G0,W7,D4,L2,V1,M2} { X ==> j( h( X ) ), ! sorti1( X )
% 0.47/1.16 }.
% 0.47/1.16 parent1[0]: (4) {G0,W2,D2,L1,V0,M1} I { sorti1( skol2 ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 X := skol2
% 0.47/1.16 end
% 0.47/1.16 substitution1:
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 eqswap: (1820) {G1,W5,D4,L1,V0,M1} { j( h( skol2 ) ) ==> skol2 }.
% 0.47/1.16 parent0[0]: (1819) {G1,W5,D4,L1,V0,M1} { skol2 ==> j( h( skol2 ) ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 subsumption: (258) {G1,W5,D4,L1,V0,M1} R(12,4) { j( h( skol2 ) ) ==> skol2
% 0.47/1.16 }.
% 0.47/1.16 parent0: (1820) {G1,W5,D4,L1,V0,M1} { j( h( skol2 ) ) ==> skol2 }.
% 0.47/1.16 substitution0:
% 0.47/1.16 end
% 0.47/1.16 permutation0:
% 0.47/1.16 0 ==> 0
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 eqswap: (1821) {G1,W12,D4,L2,V1,M2} { h( op1( X, X ) ) ==> op2( h( X ), h
% 0.47/1.16 ( X ) ), ! sorti1( X ) }.
% 0.47/1.16 parent0[1]: (15) {G1,W12,D4,L2,V1,M2} F(9) { ! sorti1( X ), op2( h( X ), h
% 0.47/1.16 ( X ) ) ==> h( op1( X, X ) ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 X := X
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 resolution: (1825) {G2,W18,D6,L1,V0,M1} { h( op1( j( h( skol1 ) ), j( h(
% 0.47/1.16 skol1 ) ) ) ) ==> op2( h( j( h( skol1 ) ) ), h( j( h( skol1 ) ) ) ) }.
% 0.47/1.16 parent0[1]: (1821) {G1,W12,D4,L2,V1,M2} { h( op1( X, X ) ) ==> op2( h( X )
% 0.47/1.16 , h( X ) ), ! sorti1( X ) }.
% 0.47/1.16 parent1[0]: (37) {G2,W4,D4,L1,V0,M1} R(34,8) { sorti1( j( h( skol1 ) ) )
% 0.47/1.16 }.
% 0.47/1.16 substitution0:
% 0.47/1.16 X := j( h( skol1 ) )
% 0.47/1.16 end
% 0.47/1.16 substitution1:
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 paramod: (1827) {G3,W16,D6,L1,V0,M1} { h( op1( j( h( skol1 ) ), j( h(
% 0.47/1.16 skol1 ) ) ) ) ==> op2( h( j( h( skol1 ) ) ), h( skol1 ) ) }.
% 0.47/1.16 parent0[0]: (215) {G2,W7,D5,L1,V0,M1} R(11,34) { h( j( h( skol1 ) ) ) ==> h
% 0.47/1.16 ( skol1 ) }.
% 0.47/1.16 parent1[0; 14]: (1825) {G2,W18,D6,L1,V0,M1} { h( op1( j( h( skol1 ) ), j(
% 0.47/1.16 h( skol1 ) ) ) ) ==> op2( h( j( h( skol1 ) ) ), h( j( h( skol1 ) ) ) )
% 0.47/1.16 }.
% 0.47/1.16 substitution0:
% 0.47/1.16 end
% 0.47/1.16 substitution1:
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 paramod: (1831) {G2,W14,D6,L1,V0,M1} { h( op1( j( h( skol1 ) ), j( h(
% 0.47/1.16 skol1 ) ) ) ) ==> op2( h( skol1 ), h( skol1 ) ) }.
% 0.47/1.16 parent0[0]: (257) {G1,W5,D4,L1,V0,M1} R(12,2) { j( h( skol1 ) ) ==> skol1
% 0.47/1.16 }.
% 0.47/1.16 parent1[0; 11]: (1827) {G3,W16,D6,L1,V0,M1} { h( op1( j( h( skol1 ) ), j(
% 0.47/1.16 h( skol1 ) ) ) ) ==> op2( h( j( h( skol1 ) ) ), h( skol1 ) ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 end
% 0.47/1.16 substitution1:
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 paramod: (1833) {G2,W12,D6,L1,V0,M1} { h( op1( j( h( skol1 ) ), skol1 ) )
% 0.47/1.16 ==> op2( h( skol1 ), h( skol1 ) ) }.
% 0.47/1.16 parent0[0]: (257) {G1,W5,D4,L1,V0,M1} R(12,2) { j( h( skol1 ) ) ==> skol1
% 0.47/1.16 }.
% 0.47/1.16 parent1[0; 6]: (1831) {G2,W14,D6,L1,V0,M1} { h( op1( j( h( skol1 ) ), j( h
% 0.47/1.16 ( skol1 ) ) ) ) ==> op2( h( skol1 ), h( skol1 ) ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 end
% 0.47/1.16 substitution1:
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 paramod: (1834) {G2,W10,D4,L1,V0,M1} { h( op1( skol1, skol1 ) ) ==> op2( h
% 0.47/1.16 ( skol1 ), h( skol1 ) ) }.
% 0.47/1.16 parent0[0]: (257) {G1,W5,D4,L1,V0,M1} R(12,2) { j( h( skol1 ) ) ==> skol1
% 0.47/1.16 }.
% 0.47/1.16 parent1[0; 3]: (1833) {G2,W12,D6,L1,V0,M1} { h( op1( j( h( skol1 ) ),
% 0.47/1.16 skol1 ) ) ==> op2( h( skol1 ), h( skol1 ) ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 end
% 0.47/1.16 substitution1:
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 paramod: (1836) {G1,W8,D4,L1,V0,M1} { h( skol1 ) ==> op2( h( skol1 ), h(
% 0.47/1.16 skol1 ) ) }.
% 0.47/1.16 parent0[0]: (3) {G0,W5,D3,L1,V0,M1} I { op1( skol1, skol1 ) ==> skol1 }.
% 0.47/1.16 parent1[0; 2]: (1834) {G2,W10,D4,L1,V0,M1} { h( op1( skol1, skol1 ) ) ==>
% 0.47/1.16 op2( h( skol1 ), h( skol1 ) ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 end
% 0.47/1.16 substitution1:
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 eqswap: (1837) {G1,W8,D4,L1,V0,M1} { op2( h( skol1 ), h( skol1 ) ) ==> h(
% 0.47/1.16 skol1 ) }.
% 0.47/1.16 parent0[0]: (1836) {G1,W8,D4,L1,V0,M1} { h( skol1 ) ==> op2( h( skol1 ), h
% 0.47/1.16 ( skol1 ) ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 subsumption: (281) {G3,W8,D4,L1,V0,M1} R(15,37);d(215);d(257);d(3) { op2( h
% 0.47/1.16 ( skol1 ), h( skol1 ) ) ==> h( skol1 ) }.
% 0.47/1.16 parent0: (1837) {G1,W8,D4,L1,V0,M1} { op2( h( skol1 ), h( skol1 ) ) ==> h
% 0.47/1.16 ( skol1 ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 end
% 0.47/1.16 permutation0:
% 0.47/1.16 0 ==> 0
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 eqswap: (1838) {G1,W12,D4,L2,V1,M2} { h( op1( X, X ) ) ==> op2( h( X ), h
% 0.47/1.16 ( X ) ), ! sorti1( X ) }.
% 0.47/1.16 parent0[1]: (15) {G1,W12,D4,L2,V1,M2} F(9) { ! sorti1( X ), op2( h( X ), h
% 0.47/1.16 ( X ) ) ==> h( op1( X, X ) ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 X := X
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 resolution: (1841) {G2,W18,D6,L1,V0,M1} { h( op1( j( h( skol2 ) ), j( h(
% 0.47/1.16 skol2 ) ) ) ) ==> op2( h( j( h( skol2 ) ) ), h( j( h( skol2 ) ) ) ) }.
% 0.47/1.16 parent0[1]: (1838) {G1,W12,D4,L2,V1,M2} { h( op1( X, X ) ) ==> op2( h( X )
% 0.47/1.16 , h( X ) ), ! sorti1( X ) }.
% 0.47/1.16 parent1[0]: (38) {G2,W4,D4,L1,V0,M1} R(35,8) { sorti1( j( h( skol2 ) ) )
% 0.47/1.16 }.
% 0.47/1.16 substitution0:
% 0.47/1.16 X := j( h( skol2 ) )
% 0.47/1.16 end
% 0.47/1.16 substitution1:
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 paramod: (1843) {G3,W16,D6,L1,V0,M1} { h( op1( j( h( skol2 ) ), j( h(
% 0.47/1.16 skol2 ) ) ) ) ==> op2( h( j( h( skol2 ) ) ), h( skol2 ) ) }.
% 0.47/1.16 parent0[0]: (214) {G2,W7,D5,L1,V0,M1} R(11,35) { h( j( h( skol2 ) ) ) ==> h
% 0.47/1.16 ( skol2 ) }.
% 0.47/1.16 parent1[0; 14]: (1841) {G2,W18,D6,L1,V0,M1} { h( op1( j( h( skol2 ) ), j(
% 0.47/1.16 h( skol2 ) ) ) ) ==> op2( h( j( h( skol2 ) ) ), h( j( h( skol2 ) ) ) )
% 0.47/1.16 }.
% 0.47/1.16 substitution0:
% 0.47/1.16 end
% 0.47/1.16 substitution1:
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 paramod: (1847) {G2,W14,D6,L1,V0,M1} { h( op1( j( h( skol2 ) ), j( h(
% 0.47/1.16 skol2 ) ) ) ) ==> op2( h( skol2 ), h( skol2 ) ) }.
% 0.47/1.16 parent0[0]: (258) {G1,W5,D4,L1,V0,M1} R(12,4) { j( h( skol2 ) ) ==> skol2
% 0.47/1.16 }.
% 0.47/1.16 parent1[0; 11]: (1843) {G3,W16,D6,L1,V0,M1} { h( op1( j( h( skol2 ) ), j(
% 0.47/1.16 h( skol2 ) ) ) ) ==> op2( h( j( h( skol2 ) ) ), h( skol2 ) ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 end
% 0.47/1.16 substitution1:
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 paramod: (1849) {G2,W12,D6,L1,V0,M1} { h( op1( j( h( skol2 ) ), skol2 ) )
% 0.47/1.16 ==> op2( h( skol2 ), h( skol2 ) ) }.
% 0.47/1.16 parent0[0]: (258) {G1,W5,D4,L1,V0,M1} R(12,4) { j( h( skol2 ) ) ==> skol2
% 0.47/1.16 }.
% 0.47/1.16 parent1[0; 6]: (1847) {G2,W14,D6,L1,V0,M1} { h( op1( j( h( skol2 ) ), j( h
% 0.47/1.16 ( skol2 ) ) ) ) ==> op2( h( skol2 ), h( skol2 ) ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 end
% 0.47/1.16 substitution1:
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 paramod: (1850) {G2,W10,D4,L1,V0,M1} { h( op1( skol2, skol2 ) ) ==> op2( h
% 0.47/1.16 ( skol2 ), h( skol2 ) ) }.
% 0.47/1.16 parent0[0]: (258) {G1,W5,D4,L1,V0,M1} R(12,4) { j( h( skol2 ) ) ==> skol2
% 0.47/1.16 }.
% 0.47/1.16 parent1[0; 3]: (1849) {G2,W12,D6,L1,V0,M1} { h( op1( j( h( skol2 ) ),
% 0.47/1.16 skol2 ) ) ==> op2( h( skol2 ), h( skol2 ) ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 end
% 0.47/1.16 substitution1:
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 eqswap: (1856) {G2,W10,D4,L1,V0,M1} { op2( h( skol2 ), h( skol2 ) ) ==> h
% 0.47/1.16 ( op1( skol2, skol2 ) ) }.
% 0.47/1.16 parent0[0]: (1850) {G2,W10,D4,L1,V0,M1} { h( op1( skol2, skol2 ) ) ==> op2
% 0.47/1.16 ( h( skol2 ), h( skol2 ) ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 subsumption: (282) {G3,W10,D4,L1,V0,M1} R(15,38);d(214);d(258) { op2( h(
% 0.47/1.16 skol2 ), h( skol2 ) ) ==> h( op1( skol2, skol2 ) ) }.
% 0.47/1.16 parent0: (1856) {G2,W10,D4,L1,V0,M1} { op2( h( skol2 ), h( skol2 ) ) ==> h
% 0.47/1.16 ( op1( skol2, skol2 ) ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 end
% 0.47/1.16 permutation0:
% 0.47/1.16 0 ==> 0
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 eqswap: (1859) {G3,W8,D4,L1,V0,M1} { h( skol1 ) ==> op2( h( skol1 ), h(
% 0.47/1.16 skol1 ) ) }.
% 0.47/1.16 parent0[0]: (281) {G3,W8,D4,L1,V0,M1} R(15,37);d(215);d(257);d(3) { op2( h
% 0.47/1.16 ( skol1 ), h( skol1 ) ) ==> h( skol1 ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 eqswap: (1860) {G0,W14,D3,L4,V2,M4} { ! X ==> op2( X, X ), ! sorti2( X ),
% 0.47/1.16 ! sorti2( Y ), op2( Y, Y ) ==> Y }.
% 0.47/1.16 parent0[1]: (6) {G0,W14,D3,L4,V2,M4} I { ! sorti2( X ), ! op2( X, X ) ==> X
% 0.47/1.16 , ! sorti2( Y ), op2( Y, Y ) ==> Y }.
% 0.47/1.16 substitution0:
% 0.47/1.16 X := X
% 0.47/1.16 Y := Y
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 resolution: (1863) {G1,W10,D3,L3,V1,M3} { ! sorti2( h( skol1 ) ), ! sorti2
% 0.47/1.16 ( X ), op2( X, X ) ==> X }.
% 0.47/1.16 parent0[0]: (1860) {G0,W14,D3,L4,V2,M4} { ! X ==> op2( X, X ), ! sorti2( X
% 0.47/1.16 ), ! sorti2( Y ), op2( Y, Y ) ==> Y }.
% 0.47/1.16 parent1[0]: (1859) {G3,W8,D4,L1,V0,M1} { h( skol1 ) ==> op2( h( skol1 ), h
% 0.47/1.16 ( skol1 ) ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 X := h( skol1 )
% 0.47/1.16 Y := X
% 0.47/1.16 end
% 0.47/1.16 substitution1:
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 resolution: (1867) {G2,W7,D3,L2,V1,M2} { ! sorti2( X ), op2( X, X ) ==> X
% 0.47/1.16 }.
% 0.47/1.16 parent0[0]: (1863) {G1,W10,D3,L3,V1,M3} { ! sorti2( h( skol1 ) ), ! sorti2
% 0.47/1.16 ( X ), op2( X, X ) ==> X }.
% 0.47/1.16 parent1[0]: (34) {G1,W3,D3,L1,V0,M1} R(7,2) { sorti2( h( skol1 ) ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 X := X
% 0.47/1.16 end
% 0.47/1.16 substitution1:
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 subsumption: (1561) {G4,W7,D3,L2,V1,M2} R(281,6);r(34) { ! sorti2( X ), op2
% 0.47/1.16 ( X, X ) ==> X }.
% 0.47/1.16 parent0: (1867) {G2,W7,D3,L2,V1,M2} { ! sorti2( X ), op2( X, X ) ==> X }.
% 0.47/1.16 substitution0:
% 0.47/1.16 X := X
% 0.47/1.16 end
% 0.47/1.16 permutation0:
% 0.47/1.16 0 ==> 0
% 0.47/1.16 1 ==> 1
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 eqswap: (1869) {G4,W7,D3,L2,V1,M2} { X ==> op2( X, X ), ! sorti2( X ) }.
% 0.47/1.16 parent0[1]: (1561) {G4,W7,D3,L2,V1,M2} R(281,6);r(34) { ! sorti2( X ), op2
% 0.47/1.16 ( X, X ) ==> X }.
% 0.47/1.16 substitution0:
% 0.47/1.16 X := X
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 resolution: (1871) {G2,W8,D4,L1,V0,M1} { h( skol2 ) ==> op2( h( skol2 ), h
% 0.47/1.16 ( skol2 ) ) }.
% 0.47/1.16 parent0[1]: (1869) {G4,W7,D3,L2,V1,M2} { X ==> op2( X, X ), ! sorti2( X )
% 0.47/1.16 }.
% 0.47/1.16 parent1[0]: (35) {G1,W3,D3,L1,V0,M1} R(7,4) { sorti2( h( skol2 ) ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 X := h( skol2 )
% 0.47/1.16 end
% 0.47/1.16 substitution1:
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 paramod: (1872) {G3,W7,D4,L1,V0,M1} { h( skol2 ) ==> h( op1( skol2, skol2
% 0.47/1.16 ) ) }.
% 0.47/1.16 parent0[0]: (282) {G3,W10,D4,L1,V0,M1} R(15,38);d(214);d(258) { op2( h(
% 0.47/1.16 skol2 ), h( skol2 ) ) ==> h( op1( skol2, skol2 ) ) }.
% 0.47/1.16 parent1[0; 3]: (1871) {G2,W8,D4,L1,V0,M1} { h( skol2 ) ==> op2( h( skol2 )
% 0.47/1.16 , h( skol2 ) ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 end
% 0.47/1.16 substitution1:
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 eqswap: (1873) {G3,W7,D4,L1,V0,M1} { h( op1( skol2, skol2 ) ) ==> h( skol2
% 0.47/1.16 ) }.
% 0.47/1.16 parent0[0]: (1872) {G3,W7,D4,L1,V0,M1} { h( skol2 ) ==> h( op1( skol2,
% 0.47/1.16 skol2 ) ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 subsumption: (1566) {G5,W7,D4,L1,V0,M1} R(1561,35);d(282) { h( op1( skol2,
% 0.47/1.16 skol2 ) ) ==> h( skol2 ) }.
% 0.47/1.16 parent0: (1873) {G3,W7,D4,L1,V0,M1} { h( op1( skol2, skol2 ) ) ==> h(
% 0.47/1.16 skol2 ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 end
% 0.47/1.16 permutation0:
% 0.47/1.16 0 ==> 0
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 eqswap: (1875) {G0,W7,D4,L2,V1,M2} { X ==> j( h( X ) ), ! sorti1( X ) }.
% 0.47/1.16 parent0[1]: (12) {G0,W7,D4,L2,V1,M2} I { ! sorti1( X ), j( h( X ) ) ==> X
% 0.47/1.16 }.
% 0.47/1.16 substitution0:
% 0.47/1.16 X := X
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 paramod: (1877) {G1,W11,D4,L2,V0,M2} { op1( skol2, skol2 ) ==> j( h( skol2
% 0.47/1.16 ) ), ! sorti1( op1( skol2, skol2 ) ) }.
% 0.47/1.16 parent0[0]: (1566) {G5,W7,D4,L1,V0,M1} R(1561,35);d(282) { h( op1( skol2,
% 0.47/1.16 skol2 ) ) ==> h( skol2 ) }.
% 0.47/1.16 parent1[0; 5]: (1875) {G0,W7,D4,L2,V1,M2} { X ==> j( h( X ) ), ! sorti1( X
% 0.47/1.16 ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 end
% 0.47/1.16 substitution1:
% 0.47/1.16 X := op1( skol2, skol2 )
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 paramod: (1878) {G2,W9,D3,L2,V0,M2} { op1( skol2, skol2 ) ==> skol2, !
% 0.47/1.16 sorti1( op1( skol2, skol2 ) ) }.
% 0.47/1.16 parent0[0]: (258) {G1,W5,D4,L1,V0,M1} R(12,4) { j( h( skol2 ) ) ==> skol2
% 0.47/1.16 }.
% 0.47/1.16 parent1[0; 4]: (1877) {G1,W11,D4,L2,V0,M2} { op1( skol2, skol2 ) ==> j( h
% 0.47/1.16 ( skol2 ) ), ! sorti1( op1( skol2, skol2 ) ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 end
% 0.47/1.16 substitution1:
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 resolution: (1879) {G3,W5,D3,L1,V0,M1} { op1( skol2, skol2 ) ==> skol2 }.
% 0.47/1.16 parent0[1]: (1878) {G2,W9,D3,L2,V0,M2} { op1( skol2, skol2 ) ==> skol2, !
% 0.47/1.16 sorti1( op1( skol2, skol2 ) ) }.
% 0.47/1.16 parent1[0]: (141) {G2,W4,D3,L1,V0,M1} R(23,4) { sorti1( op1( skol2, skol2 )
% 0.47/1.16 ) }.
% 0.47/1.16 substitution0:
% 0.47/1.16 end
% 0.47/1.16 substitution1:
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 subsumption: (1686) {G6,W5,D3,L1,V0,M1} P(1566,12);d(258);r(141) { op1(
% 0.47/1.16 skol2, skol2 ) ==> skol2 }.
% 0.47/1.16 parent0: (1879) {G3,W5,D3,L1,V0,M1} { op1( skol2, skol2 ) ==> skol2 }.
% 0.47/1.16 substitution0:
% 0.47/1.16 end
% 0.47/1.16 permutation0:
% 0.47/1.16 0 ==> 0
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 resolution: (1883) {G1,W0,D0,L0,V0,M0} { }.
% 0.47/1.16 parent0[0]: (5) {G0,W5,D3,L1,V0,M1} I { ! op1( skol2, skol2 ) ==> skol2 }.
% 0.47/1.16 parent1[0]: (1686) {G6,W5,D3,L1,V0,M1} P(1566,12);d(258);r(141) { op1(
% 0.47/1.16 skol2, skol2 ) ==> skol2 }.
% 0.47/1.16 substitution0:
% 0.47/1.16 end
% 0.47/1.16 substitution1:
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 subsumption: (1687) {G7,W0,D0,L0,V0,M0} S(1686);r(5) { }.
% 0.47/1.16 parent0: (1883) {G1,W0,D0,L0,V0,M0} { }.
% 0.47/1.16 substitution0:
% 0.47/1.16 end
% 0.47/1.16 permutation0:
% 0.47/1.16 end
% 0.47/1.16
% 0.47/1.16 Proof check complete!
% 0.47/1.16
% 0.47/1.16 Memory use:
% 0.47/1.16
% 0.47/1.16 space for terms: 21589
% 0.47/1.16 space for clauses: 95444
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16 clauses generated: 3603
% 0.47/1.16 clauses kept: 1688
% 0.47/1.16 clauses selected: 95
% 0.47/1.16 clauses deleted: 24
% 0.47/1.16 clauses inuse deleted: 6
% 0.47/1.16
% 0.47/1.16 subsentry: 11572
% 0.47/1.16 literals s-matched: 4135
% 0.47/1.16 literals matched: 4135
% 0.47/1.16 full subsumption: 2180
% 0.47/1.16
% 0.47/1.16 checksum: -135968862
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16 Bliksem ended
%------------------------------------------------------------------------------