TSTP Solution File: COM007+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COM007+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n005.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 : Fri Jul 15 00:51:01 EDT 2022
% Result : Theorem 0.73s 1.08s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : COM007+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n005.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 16 19:52:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.73/1.08 *** allocated 10000 integers for termspace/termends
% 0.73/1.08 *** allocated 10000 integers for clauses
% 0.73/1.08 *** allocated 10000 integers for justifications
% 0.73/1.08 Bliksem 1.12
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 Automatic Strategy Selection
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 Clauses:
% 0.73/1.08
% 0.73/1.08 { reflexive_rewrite( a, b ) }.
% 0.73/1.08 { reflexive_rewrite( a, c ) }.
% 0.73/1.08 { ! reflexive_rewrite( b, X ), ! reflexive_rewrite( c, X ), goal }.
% 0.73/1.08 { equalish( X, X ) }.
% 0.73/1.08 { ! equalish( X, Y ), equalish( Y, X ) }.
% 0.73/1.08 { ! equalish( X, Z ), ! reflexive_rewrite( Z, Y ), reflexive_rewrite( X, Y
% 0.73/1.08 ) }.
% 0.73/1.08 { ! equalish( X, Y ), reflexive_rewrite( X, Y ) }.
% 0.73/1.08 { ! rewrite( X, Y ), reflexive_rewrite( X, Y ) }.
% 0.73/1.08 { ! reflexive_rewrite( X, Y ), equalish( X, Y ), rewrite( X, Y ) }.
% 0.73/1.08 { ! rewrite( Z, X ), ! rewrite( Z, Y ), rewrite( Y, skol1( T, Y ) ) }.
% 0.73/1.08 { ! rewrite( Z, X ), ! rewrite( Z, Y ), rewrite( X, skol1( X, Y ) ) }.
% 0.73/1.08 { ! goal }.
% 0.73/1.08
% 0.73/1.08 percentage equality = 0.000000, percentage horn = 0.916667
% 0.73/1.08 This is a near-Horn, non-equality problem
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 Options Used:
% 0.73/1.08
% 0.73/1.08 useres = 1
% 0.73/1.08 useparamod = 0
% 0.73/1.08 useeqrefl = 0
% 0.73/1.08 useeqfact = 0
% 0.73/1.08 usefactor = 1
% 0.73/1.08 usesimpsplitting = 0
% 0.73/1.08 usesimpdemod = 0
% 0.73/1.08 usesimpres = 4
% 0.73/1.08
% 0.73/1.08 resimpinuse = 1000
% 0.73/1.08 resimpclauses = 20000
% 0.73/1.08 substype = standard
% 0.73/1.08 backwardsubs = 1
% 0.73/1.08 selectoldest = 5
% 0.73/1.08
% 0.73/1.08 litorderings [0] = split
% 0.73/1.08 litorderings [1] = liftord
% 0.73/1.08
% 0.73/1.08 termordering = none
% 0.73/1.08
% 0.73/1.08 litapriori = 1
% 0.73/1.08 termapriori = 0
% 0.73/1.08 litaposteriori = 0
% 0.73/1.08 termaposteriori = 0
% 0.73/1.08 demodaposteriori = 0
% 0.73/1.08 ordereqreflfact = 0
% 0.73/1.08
% 0.73/1.08 litselect = negative
% 0.73/1.08
% 0.73/1.08 maxweight = 30000
% 0.73/1.08 maxdepth = 30000
% 0.73/1.08 maxlength = 115
% 0.73/1.08 maxnrvars = 195
% 0.73/1.08 excuselevel = 0
% 0.73/1.08 increasemaxweight = 0
% 0.73/1.08
% 0.73/1.08 maxselected = 10000000
% 0.73/1.08 maxnrclauses = 10000000
% 0.73/1.08
% 0.73/1.08 showgenerated = 0
% 0.73/1.08 showkept = 0
% 0.73/1.08 showselected = 0
% 0.73/1.08 showdeleted = 0
% 0.73/1.08 showresimp = 1
% 0.73/1.08 showstatus = 2000
% 0.73/1.08
% 0.73/1.08 prologoutput = 0
% 0.73/1.08 nrgoals = 5000000
% 0.73/1.08 totalproof = 1
% 0.73/1.08
% 0.73/1.08 Symbols occurring in the translation:
% 0.73/1.08
% 0.73/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.08 . [1, 2] (w:1, o:19, a:1, s:1, b:0),
% 0.73/1.08 ! [4, 1] (w:1, o:14, a:1, s:1, b:0),
% 0.73/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.08 a [35, 0] (w:1, o:6, a:1, s:1, b:0),
% 0.73/1.08 b [36, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.73/1.08 reflexive_rewrite [37, 2] (w:1, o:43, a:1, s:1, b:0),
% 0.73/1.08 c [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.73/1.08 goal [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.73/1.08 equalish [41, 2] (w:1, o:44, a:1, s:1, b:0),
% 0.73/1.08 rewrite [44, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.73/1.08 skol1 [46, 2] (w:1, o:46, a:1, s:1, b:0).
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 Starting Search:
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 Bliksems!, er is een bewijs:
% 0.73/1.08 % SZS status Theorem
% 0.73/1.08 % SZS output start Refutation
% 0.73/1.08
% 0.73/1.08 (0) {G0,W3,D2,L1,V0,M1} I { reflexive_rewrite( a, b ) }.
% 0.73/1.08 (1) {G0,W3,D2,L1,V0,M1} I { reflexive_rewrite( a, c ) }.
% 0.73/1.08 (2) {G0,W9,D2,L3,V1,M1} I { ! reflexive_rewrite( c, X ), goal, !
% 0.73/1.08 reflexive_rewrite( b, X ) }.
% 0.73/1.08 (3) {G0,W3,D2,L1,V1,M1} I { equalish( X, X ) }.
% 0.73/1.08 (4) {G0,W7,D2,L2,V2,M1} I { equalish( Y, X ), ! equalish( X, Y ) }.
% 0.73/1.08 (5) {G0,W11,D2,L3,V3,M1} I { ! equalish( X, Z ), reflexive_rewrite( X, Y )
% 0.73/1.08 , ! reflexive_rewrite( Z, Y ) }.
% 0.73/1.08 (6) {G0,W7,D2,L2,V2,M1} I { reflexive_rewrite( X, Y ), ! equalish( X, Y )
% 0.73/1.08 }.
% 0.73/1.08 (7) {G0,W7,D2,L2,V2,M1} I { reflexive_rewrite( X, Y ), ! rewrite( X, Y )
% 0.73/1.08 }.
% 0.73/1.08 (8) {G0,W10,D2,L3,V2,M1} I { rewrite( X, Y ), equalish( X, Y ), !
% 0.73/1.08 reflexive_rewrite( X, Y ) }.
% 0.73/1.08 (9) {G0,W13,D3,L3,V4,M1} I { ! rewrite( Z, X ), rewrite( Y, skol1( T, Y ) )
% 0.73/1.08 , ! rewrite( Z, Y ) }.
% 0.73/1.08 (10) {G0,W13,D3,L3,V3,M1} I { ! rewrite( Z, X ), rewrite( X, skol1( X, Y )
% 0.73/1.08 ), ! rewrite( Z, Y ) }.
% 0.73/1.08 (11) {G0,W2,D1,L1,V0,M1} I { ! goal }.
% 0.73/1.08 (12) {G1,W9,D3,L2,V3,M1} F(9) { rewrite( Y, skol1( Z, Y ) ), ! rewrite( X,
% 0.73/1.08 Y ) }.
% 0.73/1.08 (13) {G1,W8,D2,L2,V1,M1} S(2);r(11) { ! reflexive_rewrite( c, X ), !
% 0.73/1.08 reflexive_rewrite( b, X ) }.
% 0.73/1.08 (14) {G1,W3,D2,L1,V1,M1} R(6,3) { reflexive_rewrite( X, X ) }.
% 0.73/1.08 (15) {G2,W4,D2,L1,V0,M1} R(13,14) { ! reflexive_rewrite( c, b ) }.
% 0.73/1.08 (16) {G1,W7,D2,L2,V1,M1} R(5,0) { reflexive_rewrite( X, b ), ! equalish( X
% 0.73/1.08 , a ) }.
% 0.73/1.08 (17) {G1,W7,D2,L2,V1,M1} R(5,1) { reflexive_rewrite( X, c ), ! equalish( X
% 0.73/1.08 , a ) }.
% 0.73/1.08 (18) {G1,W6,D2,L2,V0,M1} R(8,0) { equalish( a, b ), rewrite( a, b ) }.
% 0.73/1.08 (19) {G1,W6,D2,L2,V0,M1} R(8,1) { equalish( a, c ), rewrite( a, c ) }.
% 0.73/1.08 (21) {G2,W8,D3,L2,V1,M1} R(19,12) { equalish( a, c ), rewrite( c, skol1( X
% 0.73/1.08 , c ) ) }.
% 0.73/1.08 (23) {G3,W8,D3,L2,V1,M1} R(21,7) { reflexive_rewrite( c, skol1( X, c ) ),
% 0.73/1.08 equalish( a, c ) }.
% 0.73/1.08 (24) {G4,W8,D3,L2,V1,M1} R(23,4) { reflexive_rewrite( c, skol1( X, c ) ),
% 0.73/1.08 equalish( c, a ) }.
% 0.73/1.08 (25) {G5,W5,D3,L1,V1,M1} R(24,16);r(15) { reflexive_rewrite( c, skol1( X, c
% 0.73/1.08 ) ) }.
% 0.73/1.08 (33) {G2,W12,D3,L3,V1,M1} R(10,19) { equalish( a, c ), rewrite( X, skol1( X
% 0.73/1.08 , c ) ), ! rewrite( a, X ) }.
% 0.73/1.08 (51) {G3,W11,D3,L3,V0,M1} R(33,18) { equalish( a, c ), equalish( a, b ),
% 0.73/1.08 rewrite( b, skol1( b, c ) ) }.
% 0.73/1.08 (53) {G4,W11,D3,L3,V0,M1} R(51,7) { equalish( a, b ), reflexive_rewrite( b
% 0.73/1.08 , skol1( b, c ) ), equalish( a, c ) }.
% 0.73/1.08 (55) {G5,W11,D3,L3,V0,M1} R(53,4) { reflexive_rewrite( b, skol1( b, c ) ),
% 0.73/1.08 equalish( c, a ), equalish( a, b ) }.
% 0.73/1.08 (60) {G6,W11,D3,L3,V0,M1} R(55,4) { reflexive_rewrite( b, skol1( b, c ) ),
% 0.73/1.08 equalish( b, a ), equalish( c, a ) }.
% 0.73/1.08 (61) {G7,W8,D3,L2,V0,M1} R(60,16);r(15) { reflexive_rewrite( b, skol1( b, c
% 0.73/1.08 ) ), equalish( b, a ) }.
% 0.73/1.08 (62) {G8,W8,D3,L2,V0,M1} R(61,17) { reflexive_rewrite( b, c ),
% 0.73/1.08 reflexive_rewrite( b, skol1( b, c ) ) }.
% 0.73/1.08 (67) {G9,W3,D2,L1,V0,M1} R(62,13);r(25) { reflexive_rewrite( b, c ) }.
% 0.73/1.08 (72) {G10,W0,D0,L0,V0,M0} R(67,13);r(14) { }.
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 % SZS output end Refutation
% 0.73/1.08 found a proof!
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 Unprocessed initial clauses:
% 0.73/1.08
% 0.73/1.08 (74) {G0,W3,D2,L1,V0,M1} { reflexive_rewrite( a, b ) }.
% 0.73/1.08 (75) {G0,W3,D2,L1,V0,M1} { reflexive_rewrite( a, c ) }.
% 0.73/1.08 (76) {G0,W9,D2,L3,V1,M3} { ! reflexive_rewrite( b, X ), !
% 0.73/1.08 reflexive_rewrite( c, X ), goal }.
% 0.73/1.08 (77) {G0,W3,D2,L1,V1,M1} { equalish( X, X ) }.
% 0.73/1.08 (78) {G0,W7,D2,L2,V2,M2} { ! equalish( X, Y ), equalish( Y, X ) }.
% 0.73/1.08 (79) {G0,W11,D2,L3,V3,M3} { ! equalish( X, Z ), ! reflexive_rewrite( Z, Y
% 0.73/1.08 ), reflexive_rewrite( X, Y ) }.
% 0.73/1.08 (80) {G0,W7,D2,L2,V2,M2} { ! equalish( X, Y ), reflexive_rewrite( X, Y )
% 0.73/1.08 }.
% 0.73/1.08 (81) {G0,W7,D2,L2,V2,M2} { ! rewrite( X, Y ), reflexive_rewrite( X, Y )
% 0.73/1.08 }.
% 0.73/1.08 (82) {G0,W10,D2,L3,V2,M3} { ! reflexive_rewrite( X, Y ), equalish( X, Y )
% 0.73/1.08 , rewrite( X, Y ) }.
% 0.73/1.08 (83) {G0,W13,D3,L3,V4,M3} { ! rewrite( Z, X ), ! rewrite( Z, Y ), rewrite
% 0.73/1.08 ( Y, skol1( T, Y ) ) }.
% 0.73/1.08 (84) {G0,W13,D3,L3,V3,M3} { ! rewrite( Z, X ), ! rewrite( Z, Y ), rewrite
% 0.73/1.08 ( X, skol1( X, Y ) ) }.
% 0.73/1.08 (85) {G0,W2,D1,L1,V0,M1} { ! goal }.
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 Total Proof:
% 0.73/1.08
% 0.73/1.08 subsumption: (0) {G0,W3,D2,L1,V0,M1} I { reflexive_rewrite( a, b ) }.
% 0.73/1.08 parent0: (74) {G0,W3,D2,L1,V0,M1} { reflexive_rewrite( a, b ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 end
% 0.73/1.08 permutation0:
% 0.73/1.08 0 ==> 0
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 subsumption: (1) {G0,W3,D2,L1,V0,M1} I { reflexive_rewrite( a, c ) }.
% 0.73/1.08 parent0: (75) {G0,W3,D2,L1,V0,M1} { reflexive_rewrite( a, c ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 end
% 0.73/1.08 permutation0:
% 0.73/1.08 0 ==> 0
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 subsumption: (2) {G0,W9,D2,L3,V1,M1} I { ! reflexive_rewrite( c, X ), goal
% 0.73/1.08 , ! reflexive_rewrite( b, X ) }.
% 0.73/1.08 parent0: (76) {G0,W9,D2,L3,V1,M3} { ! reflexive_rewrite( b, X ), !
% 0.73/1.08 reflexive_rewrite( c, X ), goal }.
% 0.73/1.08 substitution0:
% 0.73/1.08 X := X
% 0.73/1.08 end
% 0.73/1.08 permutation0:
% 0.73/1.08 0 ==> 2
% 0.73/1.08 1 ==> 0
% 0.73/1.08 2 ==> 1
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 subsumption: (3) {G0,W3,D2,L1,V1,M1} I { equalish( X, X ) }.
% 0.73/1.08 parent0: (77) {G0,W3,D2,L1,V1,M1} { equalish( X, X ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 X := X
% 0.73/1.08 end
% 0.73/1.08 permutation0:
% 0.73/1.08 0 ==> 0
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 subsumption: (4) {G0,W7,D2,L2,V2,M1} I { equalish( Y, X ), ! equalish( X, Y
% 0.73/1.08 ) }.
% 0.73/1.08 parent0: (78) {G0,W7,D2,L2,V2,M2} { ! equalish( X, Y ), equalish( Y, X )
% 0.73/1.08 }.
% 0.73/1.08 substitution0:
% 0.73/1.08 X := X
% 0.73/1.08 Y := Y
% 0.73/1.08 end
% 0.73/1.08 permutation0:
% 0.73/1.08 0 ==> 1
% 0.73/1.08 1 ==> 0
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 subsumption: (5) {G0,W11,D2,L3,V3,M1} I { ! equalish( X, Z ),
% 0.73/1.08 reflexive_rewrite( X, Y ), ! reflexive_rewrite( Z, Y ) }.
% 0.73/1.08 parent0: (79) {G0,W11,D2,L3,V3,M3} { ! equalish( X, Z ), !
% 0.73/1.08 reflexive_rewrite( Z, Y ), reflexive_rewrite( X, Y ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 X := X
% 0.73/1.08 Y := Y
% 0.73/1.08 Z := Z
% 0.73/1.08 end
% 0.73/1.08 permutation0:
% 0.73/1.08 0 ==> 0
% 0.73/1.08 1 ==> 2
% 0.73/1.08 2 ==> 1
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 subsumption: (6) {G0,W7,D2,L2,V2,M1} I { reflexive_rewrite( X, Y ), !
% 0.73/1.08 equalish( X, Y ) }.
% 0.73/1.08 parent0: (80) {G0,W7,D2,L2,V2,M2} { ! equalish( X, Y ), reflexive_rewrite
% 0.73/1.08 ( X, Y ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 X := X
% 0.73/1.08 Y := Y
% 0.73/1.08 end
% 0.73/1.08 permutation0:
% 0.73/1.08 0 ==> 1
% 0.73/1.08 1 ==> 0
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 subsumption: (7) {G0,W7,D2,L2,V2,M1} I { reflexive_rewrite( X, Y ), !
% 0.73/1.08 rewrite( X, Y ) }.
% 0.73/1.08 parent0: (81) {G0,W7,D2,L2,V2,M2} { ! rewrite( X, Y ), reflexive_rewrite(
% 0.73/1.08 X, Y ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 X := X
% 0.73/1.08 Y := Y
% 0.73/1.08 end
% 0.73/1.08 permutation0:
% 0.73/1.08 0 ==> 1
% 0.73/1.08 1 ==> 0
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 subsumption: (8) {G0,W10,D2,L3,V2,M1} I { rewrite( X, Y ), equalish( X, Y )
% 0.73/1.08 , ! reflexive_rewrite( X, Y ) }.
% 0.73/1.08 parent0: (82) {G0,W10,D2,L3,V2,M3} { ! reflexive_rewrite( X, Y ), equalish
% 0.73/1.08 ( X, Y ), rewrite( X, Y ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 X := X
% 0.73/1.08 Y := Y
% 0.73/1.08 end
% 0.73/1.08 permutation0:
% 0.73/1.08 0 ==> 2
% 0.73/1.08 1 ==> 1
% 0.73/1.08 2 ==> 0
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 subsumption: (9) {G0,W13,D3,L3,V4,M1} I { ! rewrite( Z, X ), rewrite( Y,
% 0.73/1.08 skol1( T, Y ) ), ! rewrite( Z, Y ) }.
% 0.73/1.08 parent0: (83) {G0,W13,D3,L3,V4,M3} { ! rewrite( Z, X ), ! rewrite( Z, Y )
% 0.73/1.08 , rewrite( Y, skol1( T, Y ) ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 X := X
% 0.73/1.08 Y := Y
% 0.73/1.08 Z := Z
% 0.73/1.08 T := T
% 0.73/1.08 end
% 0.73/1.08 permutation0:
% 0.73/1.08 0 ==> 0
% 0.73/1.08 1 ==> 2
% 0.73/1.08 2 ==> 1
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 subsumption: (10) {G0,W13,D3,L3,V3,M1} I { ! rewrite( Z, X ), rewrite( X,
% 0.73/1.08 skol1( X, Y ) ), ! rewrite( Z, Y ) }.
% 0.73/1.08 parent0: (84) {G0,W13,D3,L3,V3,M3} { ! rewrite( Z, X ), ! rewrite( Z, Y )
% 0.73/1.08 , rewrite( X, skol1( X, Y ) ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 X := X
% 0.73/1.08 Y := Y
% 0.73/1.08 Z := Z
% 0.73/1.08 end
% 0.73/1.08 permutation0:
% 0.73/1.08 0 ==> 0
% 0.73/1.08 1 ==> 2
% 0.73/1.08 2 ==> 1
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 subsumption: (11) {G0,W2,D1,L1,V0,M1} I { ! goal }.
% 0.73/1.08 parent0: (85) {G0,W2,D1,L1,V0,M1} { ! goal }.
% 0.73/1.08 substitution0:
% 0.73/1.08 end
% 0.73/1.08 permutation0:
% 0.73/1.08 0 ==> 0
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 factor: (91) {G0,W9,D3,L2,V3,M2} { ! rewrite( X, Y ), rewrite( Y, skol1( Z
% 0.73/1.08 , Y ) ) }.
% 0.73/1.08 parent0[0, 2]: (9) {G0,W13,D3,L3,V4,M1} I { ! rewrite( Z, X ), rewrite( Y,
% 0.73/1.08 skol1( T, Y ) ), ! rewrite( Z, Y ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 X := Y
% 0.73/1.08 Y := Y
% 0.73/1.08 Z := X
% 0.73/1.08 T := Z
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 subsumption: (12) {G1,W9,D3,L2,V3,M1} F(9) { rewrite( Y, skol1( Z, Y ) ), !
% 0.73/1.08 rewrite( X, Y ) }.
% 0.73/1.08 parent0: (91) {G0,W9,D3,L2,V3,M2} { ! rewrite( X, Y ), rewrite( Y, skol1(
% 0.73/1.08 Z, Y ) ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 X := X
% 0.73/1.08 Y := Y
% 0.73/1.08 Z := Z
% 0.73/1.08 end
% 0.73/1.08 permutation0:
% 0.73/1.08 0 ==> 1
% 0.73/1.08 1 ==> 0
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 resolution: (92) {G1,W8,D2,L2,V1,M2} { ! reflexive_rewrite( c, X ), !
% 0.73/1.08 reflexive_rewrite( b, X ) }.
% 0.73/1.08 parent0[0]: (11) {G0,W2,D1,L1,V0,M1} I { ! goal }.
% 0.73/1.08 parent1[1]: (2) {G0,W9,D2,L3,V1,M1} I { ! reflexive_rewrite( c, X ), goal,
% 0.73/1.08 ! reflexive_rewrite( b, X ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 end
% 0.73/1.08 substitution1:
% 0.73/1.08 X := X
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 subsumption: (13) {G1,W8,D2,L2,V1,M1} S(2);r(11) { ! reflexive_rewrite( c,
% 0.73/1.08 X ), ! reflexive_rewrite( b, X ) }.
% 0.73/1.08 parent0: (92) {G1,W8,D2,L2,V1,M2} { ! reflexive_rewrite( c, X ), !
% 0.73/1.08 reflexive_rewrite( b, X ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 X := X
% 0.73/1.08 end
% 0.73/1.08 permutation0:
% 0.73/1.08 0 ==> 0
% 0.73/1.08 1 ==> 1
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 resolution: (93) {G1,W3,D2,L1,V1,M1} { reflexive_rewrite( X, X ) }.
% 0.73/1.08 parent0[1]: (6) {G0,W7,D2,L2,V2,M1} I { reflexive_rewrite( X, Y ), !
% 0.73/1.08 equalish( X, Y ) }.
% 0.73/1.08 parent1[0]: (3) {G0,W3,D2,L1,V1,M1} I { equalish( X, X ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 X := X
% 0.73/1.08 Y := X
% 0.73/1.08 end
% 0.73/1.08 substitution1:
% 0.73/1.08 X := X
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 subsumption: (14) {G1,W3,D2,L1,V1,M1} R(6,3) { reflexive_rewrite( X, X )
% 0.73/1.08 }.
% 0.73/1.08 parent0: (93) {G1,W3,D2,L1,V1,M1} { reflexive_rewrite( X, X ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 X := X
% 0.73/1.08 end
% 0.73/1.08 permutation0:
% 0.73/1.08 0 ==> 0
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 resolution: (95) {G2,W4,D2,L1,V0,M1} { ! reflexive_rewrite( c, b ) }.
% 0.73/1.08 parent0[1]: (13) {G1,W8,D2,L2,V1,M1} S(2);r(11) { ! reflexive_rewrite( c, X
% 0.73/1.08 ), ! reflexive_rewrite( b, X ) }.
% 0.73/1.08 parent1[0]: (14) {G1,W3,D2,L1,V1,M1} R(6,3) { reflexive_rewrite( X, X ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 X := b
% 0.73/1.08 end
% 0.73/1.08 substitution1:
% 0.73/1.08 X := b
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 subsumption: (15) {G2,W4,D2,L1,V0,M1} R(13,14) { ! reflexive_rewrite( c, b
% 0.73/1.08 ) }.
% 0.73/1.08 parent0: (95) {G2,W4,D2,L1,V0,M1} { ! reflexive_rewrite( c, b ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 end
% 0.73/1.08 permutation0:
% 0.73/1.08 0 ==> 0
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 resolution: (96) {G1,W7,D2,L2,V1,M2} { ! equalish( X, a ),
% 0.73/1.08 reflexive_rewrite( X, b ) }.
% 0.73/1.08 parent0[2]: (5) {G0,W11,D2,L3,V3,M1} I { ! equalish( X, Z ),
% 0.73/1.08 reflexive_rewrite( X, Y ), ! reflexive_rewrite( Z, Y ) }.
% 0.73/1.08 parent1[0]: (0) {G0,W3,D2,L1,V0,M1} I { reflexive_rewrite( a, b ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 X := X
% 0.73/1.08 Y := b
% 0.73/1.08 Z := a
% 0.73/1.08 end
% 0.73/1.08 substitution1:
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 subsumption: (16) {G1,W7,D2,L2,V1,M1} R(5,0) { reflexive_rewrite( X, b ), !
% 0.73/1.08 equalish( X, a ) }.
% 0.73/1.08 parent0: (96) {G1,W7,D2,L2,V1,M2} { ! equalish( X, a ), reflexive_rewrite
% 0.73/1.08 ( X, b ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 X := X
% 0.73/1.08 end
% 0.73/1.08 permutation0:
% 0.73/1.08 0 ==> 1
% 0.73/1.08 1 ==> 0
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 resolution: (97) {G1,W7,D2,L2,V1,M2} { ! equalish( X, a ),
% 0.73/1.08 reflexive_rewrite( X, c ) }.
% 0.73/1.08 parent0[2]: (5) {G0,W11,D2,L3,V3,M1} I { ! equalish( X, Z ),
% 0.73/1.08 reflexive_rewrite( X, Y ), ! reflexive_rewrite( Z, Y ) }.
% 0.73/1.08 parent1[0]: (1) {G0,W3,D2,L1,V0,M1} I { reflexive_rewrite( a, c ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 X := X
% 0.73/1.08 Y := c
% 0.73/1.08 Z := a
% 0.73/1.08 end
% 0.73/1.08 substitution1:
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 subsumption: (17) {G1,W7,D2,L2,V1,M1} R(5,1) { reflexive_rewrite( X, c ), !
% 0.73/1.08 equalish( X, a ) }.
% 0.73/1.08 parent0: (97) {G1,W7,D2,L2,V1,M2} { ! equalish( X, a ), reflexive_rewrite
% 0.73/1.08 ( X, c ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 X := X
% 0.73/1.08 end
% 0.73/1.08 permutation0:
% 0.73/1.08 0 ==> 1
% 0.73/1.08 1 ==> 0
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 resolution: (98) {G1,W6,D2,L2,V0,M2} { rewrite( a, b ), equalish( a, b )
% 0.73/1.08 }.
% 0.73/1.08 parent0[2]: (8) {G0,W10,D2,L3,V2,M1} I { rewrite( X, Y ), equalish( X, Y )
% 0.73/1.08 , ! reflexive_rewrite( X, Y ) }.
% 0.73/1.08 parent1[0]: (0) {G0,W3,D2,L1,V0,M1} I { reflexive_rewrite( a, b ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 X := a
% 0.73/1.08 Y := b
% 0.73/1.08 end
% 0.73/1.08 substitution1:
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 subsumption: (18) {G1,W6,D2,L2,V0,M1} R(8,0) { equalish( a, b ), rewrite( a
% 0.73/1.08 , b ) }.
% 0.73/1.08 parent0: (98) {G1,W6,D2,L2,V0,M2} { rewrite( a, b ), equalish( a, b ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 end
% 0.73/1.08 permutation0:
% 0.73/1.08 0 ==> 1
% 0.73/1.08 1 ==> 0
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 resolution: (99) {G1,W6,D2,L2,V0,M2} { rewrite( a, c ), equalish( a, c )
% 0.73/1.08 }.
% 0.73/1.08 parent0[2]: (8) {G0,W10,D2,L3,V2,M1} I { rewrite( X, Y ), equalish( X, Y )
% 0.73/1.08 , ! reflexive_rewrite( X, Y ) }.
% 0.73/1.08 parent1[0]: (1) {G0,W3,D2,L1,V0,M1} I { reflexive_rewrite( a, c ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 X := a
% 0.73/1.08 Y := c
% 0.73/1.08 end
% 0.73/1.08 substitution1:
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 subsumption: (19) {G1,W6,D2,L2,V0,M1} R(8,1) { equalish( a, c ), rewrite( a
% 0.73/1.08 , c ) }.
% 0.73/1.08 parent0: (99) {G1,W6,D2,L2,V0,M2} { rewrite( a, c ), equalish( a, c ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 end
% 0.73/1.08 permutation0:
% 0.73/1.08 0 ==> 1
% 0.73/1.08 1 ==> 0
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 resolution: (100) {G2,W8,D3,L2,V1,M2} { rewrite( c, skol1( X, c ) ),
% 0.73/1.08 equalish( a, c ) }.
% 0.73/1.08 parent0[1]: (12) {G1,W9,D3,L2,V3,M1} F(9) { rewrite( Y, skol1( Z, Y ) ), !
% 0.73/1.08 rewrite( X, Y ) }.
% 0.73/1.08 parent1[1]: (19) {G1,W6,D2,L2,V0,M1} R(8,1) { equalish( a, c ), rewrite( a
% 0.73/1.08 , c ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 X := a
% 0.73/1.08 Y := c
% 0.73/1.08 Z := X
% 0.73/1.08 end
% 0.73/1.08 substitution1:
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 subsumption: (21) {G2,W8,D3,L2,V1,M1} R(19,12) { equalish( a, c ), rewrite
% 0.73/1.08 ( c, skol1( X, c ) ) }.
% 0.73/1.08 parent0: (100) {G2,W8,D3,L2,V1,M2} { rewrite( c, skol1( X, c ) ), equalish
% 0.73/1.08 ( a, c ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 X := X
% 0.73/1.08 end
% 0.73/1.08 permutation0:
% 0.73/1.08 0 ==> 1
% 0.73/1.08 1 ==> 0
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 resolution: (101) {G1,W8,D3,L2,V1,M2} { reflexive_rewrite( c, skol1( X, c
% 0.73/1.08 ) ), equalish( a, c ) }.
% 0.73/1.08 parent0[1]: (7) {G0,W7,D2,L2,V2,M1} I { reflexive_rewrite( X, Y ), !
% 0.73/1.08 rewrite( X, Y ) }.
% 0.73/1.08 parent1[1]: (21) {G2,W8,D3,L2,V1,M1} R(19,12) { equalish( a, c ), rewrite(
% 0.73/1.08 c, skol1( X, c ) ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 X := c
% 0.73/1.08 Y := skol1( X, c )
% 0.73/1.08 end
% 0.73/1.08 substitution1:
% 0.73/1.08 X := X
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 subsumption: (23) {G3,W8,D3,L2,V1,M1} R(21,7) { reflexive_rewrite( c, skol1
% 0.73/1.08 ( X, c ) ), equalish( a, c ) }.
% 0.73/1.08 parent0: (101) {G1,W8,D3,L2,V1,M2} { reflexive_rewrite( c, skol1( X, c ) )
% 0.73/1.08 , equalish( a, c ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 X := X
% 0.73/1.08 end
% 0.73/1.08 permutation0:
% 0.73/1.08 0 ==> 0
% 0.73/1.08 1 ==> 1
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 resolution: (102) {G1,W8,D3,L2,V1,M2} { equalish( c, a ),
% 0.73/1.08 reflexive_rewrite( c, skol1( X, c ) ) }.
% 0.73/1.08 parent0[1]: (4) {G0,W7,D2,L2,V2,M1} I { equalish( Y, X ), ! equalish( X, Y
% 0.73/1.08 ) }.
% 0.73/1.08 parent1[1]: (23) {G3,W8,D3,L2,V1,M1} R(21,7) { reflexive_rewrite( c, skol1
% 0.73/1.08 ( X, c ) ), equalish( a, c ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 X := a
% 0.73/1.08 Y := c
% 0.73/1.08 end
% 0.73/1.08 substitution1:
% 0.73/1.08 X := X
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 subsumption: (24) {G4,W8,D3,L2,V1,M1} R(23,4) { reflexive_rewrite( c, skol1
% 0.73/1.08 ( X, c ) ), equalish( c, a ) }.
% 0.73/1.08 parent0: (102) {G1,W8,D3,L2,V1,M2} { equalish( c, a ), reflexive_rewrite(
% 0.73/1.08 c, skol1( X, c ) ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 X := X
% 0.73/1.08 end
% 0.73/1.08 permutation0:
% 0.73/1.08 0 ==> 1
% 0.73/1.08 1 ==> 0
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 resolution: (103) {G2,W8,D3,L2,V1,M2} { reflexive_rewrite( c, b ),
% 0.73/1.08 reflexive_rewrite( c, skol1( X, c ) ) }.
% 0.73/1.08 parent0[1]: (16) {G1,W7,D2,L2,V1,M1} R(5,0) { reflexive_rewrite( X, b ), !
% 0.73/1.08 equalish( X, a ) }.
% 0.73/1.08 parent1[1]: (24) {G4,W8,D3,L2,V1,M1} R(23,4) { reflexive_rewrite( c, skol1
% 0.73/1.08 ( X, c ) ), equalish( c, a ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 X := c
% 0.73/1.08 end
% 0.73/1.08 substitution1:
% 0.73/1.08 X := X
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 resolution: (104) {G3,W5,D3,L1,V1,M1} { reflexive_rewrite( c, skol1( X, c
% 0.73/1.08 ) ) }.
% 0.73/1.08 parent0[0]: (15) {G2,W4,D2,L1,V0,M1} R(13,14) { ! reflexive_rewrite( c, b )
% 0.73/1.08 }.
% 0.73/1.08 parent1[0]: (103) {G2,W8,D3,L2,V1,M2} { reflexive_rewrite( c, b ),
% 0.73/1.08 reflexive_rewrite( c, skol1( X, c ) ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 end
% 0.73/1.08 substitution1:
% 0.73/1.08 X := X
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 subsumption: (25) {G5,W5,D3,L1,V1,M1} R(24,16);r(15) { reflexive_rewrite( c
% 0.73/1.08 , skol1( X, c ) ) }.
% 0.73/1.08 parent0: (104) {G3,W5,D3,L1,V1,M1} { reflexive_rewrite( c, skol1( X, c ) )
% 0.73/1.08 }.
% 0.73/1.08 substitution0:
% 0.73/1.08 X := X
% 0.73/1.08 end
% 0.73/1.08 permutation0:
% 0.73/1.08 0 ==> 0
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 resolution: (106) {G1,W12,D3,L3,V1,M3} { ! rewrite( a, X ), rewrite( X,
% 0.73/1.08 skol1( X, c ) ), equalish( a, c ) }.
% 0.73/1.08 parent0[2]: (10) {G0,W13,D3,L3,V3,M1} I { ! rewrite( Z, X ), rewrite( X,
% 0.73/1.08 skol1( X, Y ) ), ! rewrite( Z, Y ) }.
% 0.73/1.08 parent1[1]: (19) {G1,W6,D2,L2,V0,M1} R(8,1) { equalish( a, c ), rewrite( a
% 0.73/1.08 , c ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 X := X
% 0.73/1.08 Y := c
% 0.73/1.08 Z := a
% 0.73/1.08 end
% 0.73/1.08 substitution1:
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 subsumption: (33) {G2,W12,D3,L3,V1,M1} R(10,19) { equalish( a, c ), rewrite
% 0.73/1.08 ( X, skol1( X, c ) ), ! rewrite( a, X ) }.
% 0.73/1.08 parent0: (106) {G1,W12,D3,L3,V1,M3} { ! rewrite( a, X ), rewrite( X, skol1
% 0.73/1.08 ( X, c ) ), equalish( a, c ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 X := X
% 0.73/1.08 end
% 0.73/1.08 permutation0:
% 0.73/1.08 0 ==> 2
% 0.73/1.08 1 ==> 1
% 0.73/1.08 2 ==> 0
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 resolution: (107) {G2,W11,D3,L3,V0,M3} { equalish( a, c ), rewrite( b,
% 0.73/1.08 skol1( b, c ) ), equalish( a, b ) }.
% 0.73/1.08 parent0[2]: (33) {G2,W12,D3,L3,V1,M1} R(10,19) { equalish( a, c ), rewrite
% 0.73/1.08 ( X, skol1( X, c ) ), ! rewrite( a, X ) }.
% 0.73/1.08 parent1[1]: (18) {G1,W6,D2,L2,V0,M1} R(8,0) { equalish( a, b ), rewrite( a
% 0.73/1.08 , b ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 X := b
% 0.73/1.08 end
% 0.73/1.08 substitution1:
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 subsumption: (51) {G3,W11,D3,L3,V0,M1} R(33,18) { equalish( a, c ),
% 0.73/1.08 equalish( a, b ), rewrite( b, skol1( b, c ) ) }.
% 0.73/1.08 parent0: (107) {G2,W11,D3,L3,V0,M3} { equalish( a, c ), rewrite( b, skol1
% 0.73/1.08 ( b, c ) ), equalish( a, b ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 end
% 0.73/1.08 permutation0:
% 0.73/1.08 0 ==> 0
% 0.73/1.08 1 ==> 2
% 0.73/1.08 2 ==> 1
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 resolution: (108) {G1,W11,D3,L3,V0,M3} { reflexive_rewrite( b, skol1( b, c
% 0.73/1.08 ) ), equalish( a, c ), equalish( a, b ) }.
% 0.73/1.08 parent0[1]: (7) {G0,W7,D2,L2,V2,M1} I { reflexive_rewrite( X, Y ), !
% 0.73/1.08 rewrite( X, Y ) }.
% 0.73/1.08 parent1[2]: (51) {G3,W11,D3,L3,V0,M1} R(33,18) { equalish( a, c ), equalish
% 0.73/1.08 ( a, b ), rewrite( b, skol1( b, c ) ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 X := b
% 0.73/1.08 Y := skol1( b, c )
% 0.73/1.08 end
% 0.73/1.08 substitution1:
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 subsumption: (53) {G4,W11,D3,L3,V0,M1} R(51,7) { equalish( a, b ),
% 0.73/1.08 reflexive_rewrite( b, skol1( b, c ) ), equalish( a, c ) }.
% 0.73/1.08 parent0: (108) {G1,W11,D3,L3,V0,M3} { reflexive_rewrite( b, skol1( b, c )
% 0.73/1.08 ), equalish( a, c ), equalish( a, b ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 end
% 0.73/1.08 permutation0:
% 0.73/1.08 0 ==> 1
% 0.73/1.08 1 ==> 2
% 0.73/1.08 2 ==> 0
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 resolution: (110) {G1,W11,D3,L3,V0,M3} { equalish( c, a ), equalish( a, b
% 0.73/1.08 ), reflexive_rewrite( b, skol1( b, c ) ) }.
% 0.73/1.08 parent0[1]: (4) {G0,W7,D2,L2,V2,M1} I { equalish( Y, X ), ! equalish( X, Y
% 0.73/1.08 ) }.
% 0.73/1.08 parent1[2]: (53) {G4,W11,D3,L3,V0,M1} R(51,7) { equalish( a, b ),
% 0.73/1.08 reflexive_rewrite( b, skol1( b, c ) ), equalish( a, c ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 X := a
% 0.73/1.08 Y := c
% 0.73/1.08 end
% 0.73/1.08 substitution1:
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 subsumption: (55) {G5,W11,D3,L3,V0,M1} R(53,4) { reflexive_rewrite( b,
% 0.73/1.08 skol1( b, c ) ), equalish( c, a ), equalish( a, b ) }.
% 0.73/1.08 parent0: (110) {G1,W11,D3,L3,V0,M3} { equalish( c, a ), equalish( a, b ),
% 0.73/1.08 reflexive_rewrite( b, skol1( b, c ) ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 end
% 0.73/1.08 permutation0:
% 0.73/1.08 0 ==> 1
% 0.73/1.08 1 ==> 2
% 0.73/1.08 2 ==> 0
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 resolution: (112) {G1,W11,D3,L3,V0,M3} { equalish( b, a ),
% 0.73/1.08 reflexive_rewrite( b, skol1( b, c ) ), equalish( c, a ) }.
% 0.73/1.08 parent0[1]: (4) {G0,W7,D2,L2,V2,M1} I { equalish( Y, X ), ! equalish( X, Y
% 0.73/1.08 ) }.
% 0.73/1.08 parent1[2]: (55) {G5,W11,D3,L3,V0,M1} R(53,4) { reflexive_rewrite( b, skol1
% 0.73/1.08 ( b, c ) ), equalish( c, a ), equalish( a, b ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 X := a
% 0.73/1.08 Y := b
% 0.73/1.08 end
% 0.73/1.08 substitution1:
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 subsumption: (60) {G6,W11,D3,L3,V0,M1} R(55,4) { reflexive_rewrite( b,
% 0.73/1.08 skol1( b, c ) ), equalish( b, a ), equalish( c, a ) }.
% 0.73/1.08 parent0: (112) {G1,W11,D3,L3,V0,M3} { equalish( b, a ), reflexive_rewrite
% 0.73/1.08 ( b, skol1( b, c ) ), equalish( c, a ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 end
% 0.73/1.08 permutation0:
% 0.73/1.08 0 ==> 1
% 0.73/1.08 1 ==> 0
% 0.73/1.08 2 ==> 2
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 resolution: (114) {G2,W11,D3,L3,V0,M3} { reflexive_rewrite( c, b ),
% 0.73/1.08 reflexive_rewrite( b, skol1( b, c ) ), equalish( b, a ) }.
% 0.73/1.08 parent0[1]: (16) {G1,W7,D2,L2,V1,M1} R(5,0) { reflexive_rewrite( X, b ), !
% 0.73/1.08 equalish( X, a ) }.
% 0.73/1.08 parent1[2]: (60) {G6,W11,D3,L3,V0,M1} R(55,4) { reflexive_rewrite( b, skol1
% 0.73/1.08 ( b, c ) ), equalish( b, a ), equalish( c, a ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 X := c
% 0.73/1.08 end
% 0.73/1.08 substitution1:
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 resolution: (115) {G3,W8,D3,L2,V0,M2} { reflexive_rewrite( b, skol1( b, c
% 0.73/1.08 ) ), equalish( b, a ) }.
% 0.73/1.08 parent0[0]: (15) {G2,W4,D2,L1,V0,M1} R(13,14) { ! reflexive_rewrite( c, b )
% 0.73/1.08 }.
% 0.73/1.08 parent1[0]: (114) {G2,W11,D3,L3,V0,M3} { reflexive_rewrite( c, b ),
% 0.73/1.08 reflexive_rewrite( b, skol1( b, c ) ), equalish( b, a ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 end
% 0.73/1.08 substitution1:
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 subsumption: (61) {G7,W8,D3,L2,V0,M1} R(60,16);r(15) { reflexive_rewrite( b
% 0.73/1.08 , skol1( b, c ) ), equalish( b, a ) }.
% 0.73/1.08 parent0: (115) {G3,W8,D3,L2,V0,M2} { reflexive_rewrite( b, skol1( b, c ) )
% 0.73/1.08 , equalish( b, a ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 end
% 0.73/1.08 permutation0:
% 0.73/1.08 0 ==> 0
% 0.73/1.08 1 ==> 1
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 resolution: (116) {G2,W8,D3,L2,V0,M2} { reflexive_rewrite( b, c ),
% 0.73/1.08 reflexive_rewrite( b, skol1( b, c ) ) }.
% 0.73/1.08 parent0[1]: (17) {G1,W7,D2,L2,V1,M1} R(5,1) { reflexive_rewrite( X, c ), !
% 0.73/1.08 equalish( X, a ) }.
% 0.73/1.08 parent1[1]: (61) {G7,W8,D3,L2,V0,M1} R(60,16);r(15) { reflexive_rewrite( b
% 0.73/1.08 , skol1( b, c ) ), equalish( b, a ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 X := b
% 0.73/1.08 end
% 0.73/1.08 substitution1:
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 subsumption: (62) {G8,W8,D3,L2,V0,M1} R(61,17) { reflexive_rewrite( b, c )
% 0.73/1.08 , reflexive_rewrite( b, skol1( b, c ) ) }.
% 0.73/1.08 parent0: (116) {G2,W8,D3,L2,V0,M2} { reflexive_rewrite( b, c ),
% 0.73/1.08 reflexive_rewrite( b, skol1( b, c ) ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 end
% 0.73/1.08 permutation0:
% 0.73/1.08 0 ==> 0
% 0.73/1.08 1 ==> 1
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 resolution: (118) {G2,W9,D3,L2,V0,M2} { ! reflexive_rewrite( c, skol1( b,
% 0.73/1.08 c ) ), reflexive_rewrite( b, c ) }.
% 0.73/1.08 parent0[1]: (13) {G1,W8,D2,L2,V1,M1} S(2);r(11) { ! reflexive_rewrite( c, X
% 0.73/1.08 ), ! reflexive_rewrite( b, X ) }.
% 0.73/1.08 parent1[1]: (62) {G8,W8,D3,L2,V0,M1} R(61,17) { reflexive_rewrite( b, c ),
% 0.73/1.08 reflexive_rewrite( b, skol1( b, c ) ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 X := skol1( b, c )
% 0.73/1.08 end
% 0.73/1.08 substitution1:
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 resolution: (119) {G3,W3,D2,L1,V0,M1} { reflexive_rewrite( b, c ) }.
% 0.73/1.08 parent0[0]: (118) {G2,W9,D3,L2,V0,M2} { ! reflexive_rewrite( c, skol1( b,
% 0.73/1.08 c ) ), reflexive_rewrite( b, c ) }.
% 0.73/1.08 parent1[0]: (25) {G5,W5,D3,L1,V1,M1} R(24,16);r(15) { reflexive_rewrite( c
% 0.73/1.08 , skol1( X, c ) ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 end
% 0.73/1.08 substitution1:
% 0.73/1.08 X := b
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 subsumption: (67) {G9,W3,D2,L1,V0,M1} R(62,13);r(25) { reflexive_rewrite( b
% 0.73/1.08 , c ) }.
% 0.73/1.08 parent0: (119) {G3,W3,D2,L1,V0,M1} { reflexive_rewrite( b, c ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 end
% 0.73/1.08 permutation0:
% 0.73/1.08 0 ==> 0
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 resolution: (120) {G2,W4,D2,L1,V0,M1} { ! reflexive_rewrite( c, c ) }.
% 0.73/1.08 parent0[1]: (13) {G1,W8,D2,L2,V1,M1} S(2);r(11) { ! reflexive_rewrite( c, X
% 0.73/1.08 ), ! reflexive_rewrite( b, X ) }.
% 0.73/1.08 parent1[0]: (67) {G9,W3,D2,L1,V0,M1} R(62,13);r(25) { reflexive_rewrite( b
% 0.73/1.08 , c ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 X := c
% 0.73/1.08 end
% 0.73/1.08 substitution1:
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 resolution: (121) {G2,W0,D0,L0,V0,M0} { }.
% 0.73/1.08 parent0[0]: (120) {G2,W4,D2,L1,V0,M1} { ! reflexive_rewrite( c, c ) }.
% 0.73/1.08 parent1[0]: (14) {G1,W3,D2,L1,V1,M1} R(6,3) { reflexive_rewrite( X, X ) }.
% 0.73/1.08 substitution0:
% 0.73/1.08 end
% 0.73/1.08 substitution1:
% 0.73/1.08 X := c
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 subsumption: (72) {G10,W0,D0,L0,V0,M0} R(67,13);r(14) { }.
% 0.73/1.08 parent0: (121) {G2,W0,D0,L0,V0,M0} { }.
% 0.73/1.08 substitution0:
% 0.73/1.08 end
% 0.73/1.08 permutation0:
% 0.73/1.08 end
% 0.73/1.08
% 0.73/1.08 Proof check complete!
% 0.73/1.08
% 0.73/1.08 Memory use:
% 0.73/1.08
% 0.73/1.08 space for terms: 974
% 0.73/1.08 space for clauses: 4147
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 clauses generated: 103
% 0.73/1.08 clauses kept: 73
% 0.73/1.08 clauses selected: 45
% 0.73/1.08 clauses deleted: 2
% 0.73/1.08 clauses inuse deleted: 0
% 0.73/1.08
% 0.73/1.08 subsentry: 65
% 0.73/1.08 literals s-matched: 52
% 0.73/1.08 literals matched: 52
% 0.73/1.08 full subsumption: 6
% 0.73/1.08
% 0.73/1.08 checksum: -2028863311
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 Bliksem ended
%------------------------------------------------------------------------------