TSTP Solution File: SET927+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET927+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n007.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 : Mon Jul 18 22:53:26 EDT 2022
% Result : Theorem 2.02s 2.42s
% Output : Refutation 2.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET927+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Mon Jul 11 04:40:02 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.02/2.42 *** allocated 10000 integers for termspace/termends
% 2.02/2.42 *** allocated 10000 integers for clauses
% 2.02/2.42 *** allocated 10000 integers for justifications
% 2.02/2.42 Bliksem 1.12
% 2.02/2.42
% 2.02/2.42
% 2.02/2.42 Automatic Strategy Selection
% 2.02/2.42
% 2.02/2.42
% 2.02/2.42 Clauses:
% 2.02/2.42
% 2.02/2.42 { unordered_pair( X, Y ) = unordered_pair( Y, X ) }.
% 2.02/2.42 { ! in( X, Y ), ! in( Y, X ) }.
% 2.02/2.42 { empty( skol1 ) }.
% 2.02/2.42 { ! empty( skol2 ) }.
% 2.02/2.42 { alpha3( skol3, skol4, skol5 ), ! in( skol3, skol5 ) }.
% 2.02/2.42 { alpha3( skol3, skol4, skol5 ), alpha1( skol3, skol4, skol5 ) }.
% 2.02/2.42 { alpha3( skol3, skol4, skol5 ), ! set_difference( unordered_pair( skol3,
% 2.02/2.42 skol4 ), skol5 ) = singleton( skol3 ) }.
% 2.02/2.42 { ! alpha3( X, Y, Z ), set_difference( unordered_pair( X, Y ), Z ) =
% 2.02/2.42 singleton( X ) }.
% 2.02/2.42 { ! alpha3( X, Y, Z ), in( X, Z ), ! alpha1( X, Y, Z ) }.
% 2.02/2.42 { ! set_difference( unordered_pair( X, Y ), Z ) = singleton( X ), ! in( X,
% 2.02/2.42 Z ), alpha3( X, Y, Z ) }.
% 2.02/2.42 { ! set_difference( unordered_pair( X, Y ), Z ) = singleton( X ), alpha1( X
% 2.02/2.42 , Y, Z ), alpha3( X, Y, Z ) }.
% 2.02/2.42 { ! alpha1( X, Y, Z ), in( Y, Z ), X = Y }.
% 2.02/2.42 { ! in( Y, Z ), alpha1( X, Y, Z ) }.
% 2.02/2.42 { ! X = Y, alpha1( X, Y, Z ) }.
% 2.02/2.42 { ! set_difference( unordered_pair( X, Y ), Z ) = singleton( X ), ! in( X,
% 2.02/2.42 Z ) }.
% 2.02/2.42 { ! set_difference( unordered_pair( X, Y ), Z ) = singleton( X ), alpha2( X
% 2.02/2.42 , Y, Z ) }.
% 2.02/2.42 { in( X, Z ), ! alpha2( X, Y, Z ), set_difference( unordered_pair( X, Y ),
% 2.02/2.42 Z ) = singleton( X ) }.
% 2.02/2.42 { ! alpha2( X, Y, Z ), in( Y, Z ), X = Y }.
% 2.02/2.42 { ! in( Y, Z ), alpha2( X, Y, Z ) }.
% 2.02/2.42 { ! X = Y, alpha2( X, Y, Z ) }.
% 2.02/2.42
% 2.02/2.42 percentage equality = 0.279070, percentage horn = 0.750000
% 2.02/2.42 This is a problem with some equality
% 2.02/2.42
% 2.02/2.42
% 2.02/2.42
% 2.02/2.42 Options Used:
% 2.02/2.42
% 2.02/2.42 useres = 1
% 2.02/2.42 useparamod = 1
% 2.02/2.42 useeqrefl = 1
% 2.02/2.42 useeqfact = 1
% 2.02/2.42 usefactor = 1
% 2.02/2.42 usesimpsplitting = 0
% 2.02/2.42 usesimpdemod = 5
% 2.02/2.42 usesimpres = 3
% 2.02/2.42
% 2.02/2.42 resimpinuse = 1000
% 2.02/2.42 resimpclauses = 20000
% 2.02/2.42 substype = eqrewr
% 2.02/2.42 backwardsubs = 1
% 2.02/2.42 selectoldest = 5
% 2.02/2.42
% 2.02/2.42 litorderings [0] = split
% 2.02/2.42 litorderings [1] = extend the termordering, first sorting on arguments
% 2.02/2.42
% 2.02/2.42 termordering = kbo
% 2.02/2.42
% 2.02/2.42 litapriori = 0
% 2.02/2.42 termapriori = 1
% 2.02/2.42 litaposteriori = 0
% 2.02/2.42 termaposteriori = 0
% 2.02/2.42 demodaposteriori = 0
% 2.02/2.42 ordereqreflfact = 0
% 2.02/2.42
% 2.02/2.42 litselect = negord
% 2.02/2.42
% 2.02/2.42 maxweight = 15
% 2.02/2.42 maxdepth = 30000
% 2.02/2.42 maxlength = 115
% 2.02/2.42 maxnrvars = 195
% 2.02/2.42 excuselevel = 1
% 2.02/2.42 increasemaxweight = 1
% 2.02/2.42
% 2.02/2.42 maxselected = 10000000
% 2.02/2.42 maxnrclauses = 10000000
% 2.02/2.42
% 2.02/2.42 showgenerated = 0
% 2.02/2.42 showkept = 0
% 2.02/2.42 showselected = 0
% 2.02/2.42 showdeleted = 0
% 2.02/2.42 showresimp = 1
% 2.02/2.42 showstatus = 2000
% 2.02/2.42
% 2.02/2.42 prologoutput = 0
% 2.02/2.42 nrgoals = 5000000
% 2.02/2.42 totalproof = 1
% 2.02/2.42
% 2.02/2.42 Symbols occurring in the translation:
% 2.02/2.42
% 2.02/2.42 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.02/2.42 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 2.02/2.42 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 2.02/2.42 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.02/2.42 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.02/2.42 unordered_pair [37, 2] (w:1, o:45, a:1, s:1, b:0),
% 2.02/2.42 in [38, 2] (w:1, o:46, a:1, s:1, b:0),
% 2.02/2.42 empty [39, 1] (w:1, o:19, a:1, s:1, b:0),
% 2.02/2.42 set_difference [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 2.02/2.42 singleton [42, 1] (w:1, o:20, a:1, s:1, b:0),
% 2.02/2.42 alpha1 [43, 3] (w:1, o:48, a:1, s:1, b:1),
% 2.02/2.42 alpha2 [44, 3] (w:1, o:49, a:1, s:1, b:1),
% 2.02/2.42 alpha3 [45, 3] (w:1, o:50, a:1, s:1, b:1),
% 2.02/2.42 skol1 [46, 0] (w:1, o:9, a:1, s:1, b:1),
% 2.02/2.42 skol2 [47, 0] (w:1, o:10, a:1, s:1, b:1),
% 2.02/2.42 skol3 [48, 0] (w:1, o:11, a:1, s:1, b:1),
% 2.02/2.42 skol4 [49, 0] (w:1, o:12, a:1, s:1, b:1),
% 2.02/2.42 skol5 [50, 0] (w:1, o:13, a:1, s:1, b:1).
% 2.02/2.42
% 2.02/2.42
% 2.02/2.42 Starting Search:
% 2.02/2.42
% 2.02/2.42 *** allocated 15000 integers for clauses
% 2.02/2.42 *** allocated 22500 integers for clauses
% 2.02/2.42 *** allocated 33750 integers for clauses
% 2.02/2.42 *** allocated 15000 integers for termspace/termends
% 2.02/2.42 *** allocated 50625 integers for clauses
% 2.02/2.42 Resimplifying inuse:
% 2.02/2.42 Done
% 2.02/2.42
% 2.02/2.42 *** allocated 22500 integers for termspace/termends
% 2.02/2.42 *** allocated 75937 integers for clauses
% 2.02/2.42 *** allocated 33750 integers for termspace/termends
% 2.02/2.42 *** allocated 113905 integers for clauses
% 2.02/2.42
% 2.02/2.42 Intermediate Status:
% 2.02/2.42 Generated: 5067
% 2.02/2.42 Kept: 2011
% 2.02/2.42 Inuse: 134
% 2.02/2.42 Deleted: 9
% 2.02/2.42 Deletedinuse: 6
% 2.02/2.42
% 2.02/2.42 Resimplifying inuse:
% 2.02/2.42 Done
% 2.02/2.42
% 2.02/2.42 *** allocated 50625 integers for termspace/termends
% 2.02/2.42 *** allocated 170857 integers for clauses
% 2.02/2.42 Resimplifying inuse:
% 2.02/2.42 Done
% 2.02/2.42
% 2.02/2.42 *** allocated 75937 integers for termspace/termends
% 2.02/2.42
% 2.02/2.42 Intermediate Status:
% 2.02/2.42 Generated: 10493
% 2.02/2.42 Kept: 4099
% 2.02/2.42 Inuse: 211
% 2.02/2.42 Deleted: 24
% 2.02/2.42 Deletedinuse: 9
% 2.02/2.42
% 2.02/2.42 Resimplifying inuse:
% 2.02/2.42 Done
% 2.02/2.42
% 2.02/2.42 *** allocated 256285 integers for clauses
% 2.02/2.42 Resimplifying inuse:
% 2.02/2.42 Done
% 2.02/2.42
% 2.02/2.42 *** allocated 113905 integers for termspace/termends
% 2.02/2.42
% 2.02/2.42 Intermediate Status:
% 2.02/2.42 Generated: 23021
% 2.02/2.42 Kept: 6132
% 2.02/2.42 Inuse: 357
% 2.02/2.42 Deleted: 76
% 2.02/2.42 Deletedinuse: 17
% 2.02/2.42
% 2.02/2.42 Resimplifying inuse:
% 2.02/2.42 Done
% 2.02/2.42
% 2.02/2.42 *** allocated 384427 integers for clauses
% 2.02/2.42 Resimplifying inuse:
% 2.02/2.42 Done
% 2.02/2.42
% 2.02/2.42 *** allocated 170857 integers for termspace/termends
% 2.02/2.42
% 2.02/2.42 Intermediate Status:
% 2.02/2.42 Generated: 35592
% 2.02/2.42 Kept: 8354
% 2.02/2.42 Inuse: 535
% 2.02/2.42 Deleted: 121
% 2.02/2.42 Deletedinuse: 40
% 2.02/2.42
% 2.02/2.42 Resimplifying inuse:
% 2.02/2.42 Done
% 2.02/2.42
% 2.02/2.42 Resimplifying inuse:
% 2.02/2.42 Done
% 2.02/2.42
% 2.02/2.42 *** allocated 576640 integers for clauses
% 2.02/2.42
% 2.02/2.42 Bliksems!, er is een bewijs:
% 2.02/2.42 % SZS status Theorem
% 2.02/2.42 % SZS output start Refutation
% 2.02/2.42
% 2.02/2.42 (0) {G0,W7,D3,L1,V2,M1} I { unordered_pair( X, Y ) = unordered_pair( Y, X )
% 2.02/2.42 }.
% 2.02/2.42 (1) {G0,W6,D2,L2,V2,M2} I { ! in( X, Y ), ! in( Y, X ) }.
% 2.02/2.42 (4) {G0,W7,D2,L2,V0,M2} I { alpha3( skol3, skol4, skol5 ), ! in( skol3,
% 2.02/2.42 skol5 ) }.
% 2.02/2.42 (5) {G0,W8,D2,L2,V0,M2} I { alpha3( skol3, skol4, skol5 ), alpha1( skol3,
% 2.02/2.42 skol4, skol5 ) }.
% 2.02/2.42 (6) {G0,W12,D4,L2,V0,M2} I { alpha3( skol3, skol4, skol5 ), !
% 2.02/2.42 set_difference( unordered_pair( skol3, skol4 ), skol5 ) ==> singleton(
% 2.02/2.42 skol3 ) }.
% 2.02/2.42 (7) {G0,W12,D4,L2,V3,M2} I { ! alpha3( X, Y, Z ), set_difference(
% 2.02/2.42 unordered_pair( X, Y ), Z ) ==> singleton( X ) }.
% 2.02/2.42 (8) {G0,W11,D2,L3,V3,M3} I { ! alpha3( X, Y, Z ), in( X, Z ), ! alpha1( X,
% 2.02/2.42 Y, Z ) }.
% 2.02/2.42 (11) {G0,W10,D2,L3,V3,M3} I { ! alpha1( X, Y, Z ), in( Y, Z ), X = Y }.
% 2.02/2.42 (12) {G0,W7,D2,L2,V3,M2} I { ! in( Y, Z ), alpha1( X, Y, Z ) }.
% 2.02/2.42 (13) {G0,W7,D2,L2,V3,M2} I { ! X = Y, alpha1( X, Y, Z ) }.
% 2.02/2.42 (14) {G0,W11,D4,L2,V3,M2} I { ! set_difference( unordered_pair( X, Y ), Z )
% 2.02/2.42 ==> singleton( X ), ! in( X, Z ) }.
% 2.02/2.42 (15) {G0,W12,D4,L2,V3,M2} I { ! set_difference( unordered_pair( X, Y ), Z )
% 2.02/2.42 ==> singleton( X ), alpha2( X, Y, Z ) }.
% 2.02/2.42 (16) {G0,W15,D4,L3,V3,M3} I { in( X, Z ), ! alpha2( X, Y, Z ),
% 2.02/2.42 set_difference( unordered_pair( X, Y ), Z ) ==> singleton( X ) }.
% 2.02/2.42 (17) {G0,W10,D2,L3,V3,M3} I { ! alpha2( X, Y, Z ), in( Y, Z ), X = Y }.
% 2.02/2.42 (18) {G0,W7,D2,L2,V3,M2} I { ! in( Y, Z ), alpha2( X, Y, Z ) }.
% 2.02/2.42 (19) {G0,W7,D2,L2,V3,M2} I { ! X = Y, alpha2( X, Y, Z ) }.
% 2.02/2.42 (20) {G1,W3,D2,L1,V1,M1} F(1) { ! in( X, X ) }.
% 2.02/2.42 (21) {G1,W4,D2,L1,V2,M1} Q(13) { alpha1( X, X, Y ) }.
% 2.02/2.42 (22) {G1,W4,D2,L1,V2,M1} Q(19) { alpha2( X, X, Y ) }.
% 2.02/2.42 (25) {G1,W12,D4,L2,V0,M2} P(0,6) { alpha3( skol3, skol4, skol5 ), !
% 2.02/2.42 set_difference( unordered_pair( skol4, skol3 ), skol5 ) ==> singleton(
% 2.02/2.42 skol3 ) }.
% 2.02/2.42 (26) {G1,W11,D2,L3,V4,M3} R(17,12) { ! alpha2( X, Y, Z ), X = Y, alpha1( T
% 2.02/2.42 , Y, Z ) }.
% 2.02/2.42 (68) {G1,W12,D4,L2,V0,M2} R(7,5) { set_difference( unordered_pair( skol3,
% 2.02/2.42 skol4 ), skol5 ) ==> singleton( skol3 ), alpha1( skol3, skol4, skol5 )
% 2.02/2.42 }.
% 2.02/2.42 (69) {G1,W3,D2,L1,V0,M1} R(7,4);r(14) { ! in( skol3, skol5 ) }.
% 2.02/2.42 (101) {G2,W7,D2,L2,V2,M2} R(8,21) { ! alpha3( X, X, Y ), in( X, Y ) }.
% 2.02/2.42 (164) {G1,W10,D2,L3,V0,M3} R(11,5) { in( skol4, skol5 ), skol4 ==> skol3,
% 2.02/2.42 alpha3( skol3, skol4, skol5 ) }.
% 2.02/2.42 (170) {G2,W7,D2,L2,V2,M2} R(11,20) { ! alpha1( X, Y, Y ), X = Y }.
% 2.02/2.42 (242) {G3,W7,D2,L2,V1,M2} P(170,69) { ! in( X, skol5 ), ! alpha1( skol3, X
% 2.02/2.42 , X ) }.
% 2.02/2.42 (263) {G1,W7,D2,L2,V3,M2} R(14,7) { ! in( X, Y ), ! alpha3( X, Z, Y ) }.
% 2.02/2.42 (290) {G3,W8,D2,L2,V3,M2} R(263,101) { ! alpha3( X, Y, Z ), ! alpha3( X, X
% 2.02/2.42 , Z ) }.
% 2.02/2.42 (291) {G2,W12,D2,L3,V4,M3} R(263,8) { ! alpha3( X, Y, Z ), ! alpha3( X, T,
% 2.02/2.42 Z ), ! alpha1( X, T, Z ) }.
% 2.02/2.42 (293) {G3,W8,D2,L2,V3,M2} F(291) { ! alpha3( X, Y, Z ), ! alpha1( X, Y, Z )
% 2.02/2.42 }.
% 2.02/2.42 (294) {G4,W4,D2,L1,V2,M1} F(290) { ! alpha3( X, X, Y ) }.
% 2.02/2.42 (302) {G1,W8,D2,L2,V3,M2} R(15,7) { alpha2( X, Y, Z ), ! alpha3( X, Y, Z )
% 2.02/2.42 }.
% 2.02/2.42 (339) {G1,W8,D2,L2,V0,M2} R(16,6);r(4) { ! alpha2( skol3, skol4, skol5 ),
% 2.02/2.42 alpha3( skol3, skol4, skol5 ) }.
% 2.02/2.42 (374) {G4,W6,D2,L2,V1,M2} R(242,13) { ! in( X, skol5 ), ! skol3 = X }.
% 2.02/2.42 (404) {G2,W7,D2,L2,V0,M2} P(16,25);d(164);d(164);q;r(22) { alpha3( skol3,
% 2.02/2.42 skol4, skol5 ), in( skol4, skol5 ) }.
% 2.02/2.42 (471) {G2,W12,D2,L3,V5,M3} R(26,13) { ! alpha2( X, Y, Z ), alpha1( T, Y, Z
% 2.02/2.42 ), alpha1( X, Y, U ) }.
% 2.02/2.42 (528) {G3,W8,D2,L2,V3,M2} F(471) { ! alpha2( X, Y, Z ), alpha1( X, Y, Z )
% 2.02/2.42 }.
% 2.02/2.42 (1568) {G5,W7,D2,L2,V0,M2} R(404,374) { alpha3( skol3, skol4, skol5 ), !
% 2.02/2.42 skol4 ==> skol3 }.
% 2.02/2.42 (1624) {G6,W14,D2,L4,V2,M4} P(11,1568) { alpha3( skol3, X, skol5 ), ! X =
% 2.02/2.42 skol3, ! alpha1( X, skol4, Y ), in( skol4, Y ) }.
% 2.02/2.42 (1633) {G7,W7,D2,L2,V1,M2} Q(1624);r(294) { ! alpha1( skol3, skol4, X ), in
% 2.02/2.42 ( skol4, X ) }.
% 2.02/2.42 (4317) {G4,W4,D2,L1,V0,M1} R(68,15);r(528) { alpha1( skol3, skol4, skol5 )
% 2.02/2.42 }.
% 2.02/2.42 (4318) {G8,W3,D2,L1,V0,M1} R(4317,1633) { in( skol4, skol5 ) }.
% 2.02/2.42 (4322) {G9,W4,D2,L1,V1,M1} R(4318,18) { alpha2( X, skol4, skol5 ) }.
% 2.02/2.42 (5488) {G4,W4,D2,L1,V3,M1} R(302,528);r(293) { ! alpha3( X, Y, Z ) }.
% 2.02/2.42 (10160) {G10,W0,D0,L0,V0,M0} S(339);r(4322);r(5488) { }.
% 2.02/2.42
% 2.02/2.42
% 2.02/2.42 % SZS output end Refutation
% 2.02/2.42 found a proof!
% 2.02/2.42
% 2.02/2.42
% 2.02/2.42 Unprocessed initial clauses:
% 2.02/2.42
% 2.02/2.42 (10162) {G0,W7,D3,L1,V2,M1} { unordered_pair( X, Y ) = unordered_pair( Y,
% 2.02/2.42 X ) }.
% 2.02/2.42 (10163) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), ! in( Y, X ) }.
% 2.02/2.42 (10164) {G0,W2,D2,L1,V0,M1} { empty( skol1 ) }.
% 2.02/2.42 (10165) {G0,W2,D2,L1,V0,M1} { ! empty( skol2 ) }.
% 2.02/2.42 (10166) {G0,W7,D2,L2,V0,M2} { alpha3( skol3, skol4, skol5 ), ! in( skol3,
% 2.02/2.42 skol5 ) }.
% 2.02/2.42 (10167) {G0,W8,D2,L2,V0,M2} { alpha3( skol3, skol4, skol5 ), alpha1( skol3
% 2.02/2.42 , skol4, skol5 ) }.
% 2.02/2.42 (10168) {G0,W12,D4,L2,V0,M2} { alpha3( skol3, skol4, skol5 ), !
% 2.02/2.42 set_difference( unordered_pair( skol3, skol4 ), skol5 ) = singleton(
% 2.02/2.42 skol3 ) }.
% 2.02/2.42 (10169) {G0,W12,D4,L2,V3,M2} { ! alpha3( X, Y, Z ), set_difference(
% 2.02/2.42 unordered_pair( X, Y ), Z ) = singleton( X ) }.
% 2.02/2.42 (10170) {G0,W11,D2,L3,V3,M3} { ! alpha3( X, Y, Z ), in( X, Z ), ! alpha1(
% 2.02/2.42 X, Y, Z ) }.
% 2.02/2.42 (10171) {G0,W15,D4,L3,V3,M3} { ! set_difference( unordered_pair( X, Y ), Z
% 2.02/2.42 ) = singleton( X ), ! in( X, Z ), alpha3( X, Y, Z ) }.
% 2.02/2.42 (10172) {G0,W16,D4,L3,V3,M3} { ! set_difference( unordered_pair( X, Y ), Z
% 2.02/2.42 ) = singleton( X ), alpha1( X, Y, Z ), alpha3( X, Y, Z ) }.
% 2.02/2.42 (10173) {G0,W10,D2,L3,V3,M3} { ! alpha1( X, Y, Z ), in( Y, Z ), X = Y }.
% 2.02/2.42 (10174) {G0,W7,D2,L2,V3,M2} { ! in( Y, Z ), alpha1( X, Y, Z ) }.
% 2.02/2.42 (10175) {G0,W7,D2,L2,V3,M2} { ! X = Y, alpha1( X, Y, Z ) }.
% 2.02/2.42 (10176) {G0,W11,D4,L2,V3,M2} { ! set_difference( unordered_pair( X, Y ), Z
% 2.02/2.42 ) = singleton( X ), ! in( X, Z ) }.
% 2.02/2.42 (10177) {G0,W12,D4,L2,V3,M2} { ! set_difference( unordered_pair( X, Y ), Z
% 2.02/2.42 ) = singleton( X ), alpha2( X, Y, Z ) }.
% 2.02/2.42 (10178) {G0,W15,D4,L3,V3,M3} { in( X, Z ), ! alpha2( X, Y, Z ),
% 2.02/2.42 set_difference( unordered_pair( X, Y ), Z ) = singleton( X ) }.
% 2.02/2.42 (10179) {G0,W10,D2,L3,V3,M3} { ! alpha2( X, Y, Z ), in( Y, Z ), X = Y }.
% 2.02/2.42 (10180) {G0,W7,D2,L2,V3,M2} { ! in( Y, Z ), alpha2( X, Y, Z ) }.
% 2.02/2.42 (10181) {G0,W7,D2,L2,V3,M2} { ! X = Y, alpha2( X, Y, Z ) }.
% 2.02/2.42
% 2.02/2.42
% 2.02/2.42 Total Proof:
% 2.02/2.42
% 2.02/2.42 subsumption: (0) {G0,W7,D3,L1,V2,M1} I { unordered_pair( X, Y ) =
% 2.02/2.42 unordered_pair( Y, X ) }.
% 2.02/2.42 parent0: (10162) {G0,W7,D3,L1,V2,M1} { unordered_pair( X, Y ) =
% 2.02/2.42 unordered_pair( Y, X ) }.
% 2.02/2.42 substitution0:
% 2.02/2.42 X := X
% 2.02/2.42 Y := Y
% 2.02/2.42 end
% 2.02/2.42 permutation0:
% 2.02/2.42 0 ==> 0
% 2.02/2.42 end
% 2.02/2.42
% 2.02/2.42 subsumption: (1) {G0,W6,D2,L2,V2,M2} I { ! in( X, Y ), ! in( Y, X ) }.
% 2.02/2.42 parent0: (10163) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), ! in( Y, X ) }.
% 2.02/2.42 substitution0:
% 2.02/2.42 X := X
% 2.02/2.42 Y := Y
% 2.02/2.42 end
% 2.02/2.42 permutation0:
% 2.02/2.42 0 ==> 0
% 2.02/2.42 1 ==> 1
% 2.02/2.42 end
% 2.02/2.42
% 2.02/2.42 subsumption: (4) {G0,W7,D2,L2,V0,M2} I { alpha3( skol3, skol4, skol5 ), !
% 2.02/2.42 in( skol3, skol5 ) }.
% 2.02/2.42 parent0: (10166) {G0,W7,D2,L2,V0,M2} { alpha3( skol3, skol4, skol5 ), ! in
% 2.02/2.42 ( skol3, skol5 ) }.
% 2.02/2.42 substitution0:
% 2.02/2.42 end
% 2.02/2.42 permutation0:
% 2.02/2.42 0 ==> 0
% 2.02/2.42 1 ==> 1
% 2.02/2.42 end
% 2.02/2.42
% 2.02/2.42 subsumption: (5) {G0,W8,D2,L2,V0,M2} I { alpha3( skol3, skol4, skol5 ),
% 2.02/2.42 alpha1( skol3, skol4, skol5 ) }.
% 2.02/2.42 parent0: (10167) {G0,W8,D2,L2,V0,M2} { alpha3( skol3, skol4, skol5 ),
% 2.02/2.42 alpha1( skol3, skol4, skol5 ) }.
% 2.02/2.42 substitution0:
% 2.02/2.42 end
% 2.02/2.42 permutation0:
% 2.02/2.42 0 ==> 0
% 2.02/2.42 1 ==> 1
% 2.02/2.42 end
% 2.02/2.42
% 2.02/2.42 subsumption: (6) {G0,W12,D4,L2,V0,M2} I { alpha3( skol3, skol4, skol5 ), !
% 2.02/2.42 set_difference( unordered_pair( skol3, skol4 ), skol5 ) ==> singleton(
% 2.02/2.42 skol3 ) }.
% 2.02/2.42 parent0: (10168) {G0,W12,D4,L2,V0,M2} { alpha3( skol3, skol4, skol5 ), !
% 2.02/2.42 set_difference( unordered_pair( skol3, skol4 ), skol5 ) = singleton(
% 2.02/2.42 skol3 ) }.
% 2.02/2.42 substitution0:
% 2.02/2.42 end
% 2.02/2.42 permutation0:
% 2.02/2.42 0 ==> 0
% 2.02/2.42 1 ==> 1
% 2.02/2.42 end
% 2.02/2.42
% 2.02/2.42 subsumption: (7) {G0,W12,D4,L2,V3,M2} I { ! alpha3( X, Y, Z ),
% 2.02/2.42 set_difference( unordered_pair( X, Y ), Z ) ==> singleton( X ) }.
% 2.02/2.42 parent0: (10169) {G0,W12,D4,L2,V3,M2} { ! alpha3( X, Y, Z ),
% 2.02/2.42 set_difference( unordered_pair( X, Y ), Z ) = singleton( X ) }.
% 2.02/2.42 substitution0:
% 2.02/2.42 X := X
% 2.02/2.42 Y := Y
% 2.02/2.42 Z := Z
% 2.02/2.42 end
% 2.02/2.42 permutation0:
% 2.02/2.42 0 ==> 0
% 2.02/2.42 1 ==> 1
% 2.02/2.42 end
% 2.02/2.42
% 2.02/2.42 subsumption: (8) {G0,W11,D2,L3,V3,M3} I { ! alpha3( X, Y, Z ), in( X, Z ),
% 2.02/2.42 ! alpha1( X, Y, Z ) }.
% 2.02/2.42 parent0: (10170) {G0,W11,D2,L3,V3,M3} { ! alpha3( X, Y, Z ), in( X, Z ), !
% 2.02/2.42 alpha1( X, Y, Z ) }.
% 2.02/2.42 substitution0:
% 2.02/2.42 X := X
% 2.02/2.42 Y := Y
% 2.02/2.42 Z := Z
% 2.02/2.42 end
% 2.02/2.42 permutation0:
% 2.02/2.42 0 ==> 0
% 2.02/2.42 1 ==> 1
% 2.02/2.42 2 ==> 2
% 2.02/2.42 end
% 2.02/2.42
% 2.02/2.42 subsumption: (11) {G0,W10,D2,L3,V3,M3} I { ! alpha1( X, Y, Z ), in( Y, Z )
% 2.02/2.42 , X = Y }.
% 2.02/2.42 parent0: (10173) {G0,W10,D2,L3,V3,M3} { ! alpha1( X, Y, Z ), in( Y, Z ), X
% 2.02/2.42 = Y }.
% 2.02/2.42 substitution0:
% 2.02/2.42 X := X
% 2.02/2.42 Y := Y
% 2.02/2.42 Z := Z
% 2.02/2.42 end
% 2.02/2.42 permutation0:
% 2.02/2.42 0 ==> 0
% 2.02/2.42 1 ==> 1
% 2.02/2.42 2 ==> 2
% 2.02/2.42 end
% 2.02/2.42
% 2.02/2.42 subsumption: (12) {G0,W7,D2,L2,V3,M2} I { ! in( Y, Z ), alpha1( X, Y, Z )
% 2.02/2.42 }.
% 2.02/2.42 parent0: (10174) {G0,W7,D2,L2,V3,M2} { ! in( Y, Z ), alpha1( X, Y, Z ) }.
% 2.02/2.42 substitution0:
% 2.02/2.42 X := X
% 2.02/2.42 Y := Y
% 2.02/2.42 Z := Z
% 2.02/2.42 end
% 2.02/2.42 permutation0:
% 2.02/2.42 0 ==> 0
% 2.02/2.42 1 ==> 1
% 2.02/2.42 end
% 2.02/2.42
% 2.02/2.42 subsumption: (13) {G0,W7,D2,L2,V3,M2} I { ! X = Y, alpha1( X, Y, Z ) }.
% 2.02/2.42 parent0: (10175) {G0,W7,D2,L2,V3,M2} { ! X = Y, alpha1( X, Y, Z ) }.
% 2.02/2.42 substitution0:
% 2.02/2.42 X := X
% 2.02/2.42 Y := Y
% 2.02/2.42 Z := Z
% 2.02/2.42 end
% 2.02/2.42 permutation0:
% 2.02/2.42 0 ==> 0
% 2.02/2.42 1 ==> 1
% 2.02/2.42 end
% 2.02/2.42
% 2.02/2.42 subsumption: (14) {G0,W11,D4,L2,V3,M2} I { ! set_difference( unordered_pair
% 2.02/2.42 ( X, Y ), Z ) ==> singleton( X ), ! in( X, Z ) }.
% 2.02/2.42 parent0: (10176) {G0,W11,D4,L2,V3,M2} { ! set_difference( unordered_pair(
% 2.02/2.42 X, Y ), Z ) = singleton( X ), ! in( X, Z ) }.
% 2.02/2.42 substitution0:
% 2.02/2.42 X := X
% 2.02/2.42 Y := Y
% 2.02/2.42 Z := Z
% 2.02/2.42 end
% 2.02/2.42 permutation0:
% 2.02/2.42 0 ==> 0
% 2.02/2.42 1 ==> 1
% 2.02/2.42 end
% 2.02/2.42
% 2.02/2.42 subsumption: (15) {G0,W12,D4,L2,V3,M2} I { ! set_difference( unordered_pair
% 2.02/2.42 ( X, Y ), Z ) ==> singleton( X ), alpha2( X, Y, Z ) }.
% 2.02/2.42 parent0: (10177) {G0,W12,D4,L2,V3,M2} { ! set_difference( unordered_pair(
% 2.02/2.42 X, Y ), Z ) = singleton( X ), alpha2( X, Y, Z ) }.
% 2.02/2.42 substitution0:
% 2.02/2.42 X := X
% 2.02/2.42 Y := Y
% 2.02/2.42 Z := Z
% 2.02/2.42 end
% 2.02/2.42 permutation0:
% 2.02/2.42 0 ==> 0
% 2.02/2.42 1 ==> 1
% 2.02/2.42 end
% 2.02/2.42
% 2.02/2.42 subsumption: (16) {G0,W15,D4,L3,V3,M3} I { in( X, Z ), ! alpha2( X, Y, Z )
% 2.02/2.42 , set_difference( unordered_pair( X, Y ), Z ) ==> singleton( X ) }.
% 2.02/2.42 parent0: (10178) {G0,W15,D4,L3,V3,M3} { in( X, Z ), ! alpha2( X, Y, Z ),
% 2.02/2.42 set_difference( unordered_pair( X, Y ), Z ) = singleton( X ) }.
% 2.02/2.42 substitution0:
% 2.02/2.42 X := X
% 2.02/2.42 Y := Y
% 2.02/2.42 Z := Z
% 2.02/2.42 end
% 2.02/2.42 permutation0:
% 2.02/2.42 0 ==> 0
% 2.02/2.42 1 ==> 1
% 2.02/2.42 2 ==> 2
% 2.02/2.42 end
% 2.02/2.42
% 2.02/2.42 subsumption: (17) {G0,W10,D2,L3,V3,M3} I { ! alpha2( X, Y, Z ), in( Y, Z )
% 2.02/2.42 , X = Y }.
% 2.02/2.42 parent0: (10179) {G0,W10,D2,L3,V3,M3} { ! alpha2( X, Y, Z ), in( Y, Z ), X
% 2.02/2.42 = Y }.
% 2.02/2.42 substitution0:
% 2.02/2.42 X := X
% 2.02/2.42 Y := Y
% 2.02/2.42 Z := Z
% 2.02/2.42 end
% 2.02/2.42 permutation0:
% 2.02/2.42 0 ==> 0
% 2.02/2.42 1 ==> 1
% 2.02/2.42 2 ==> 2
% 2.02/2.42 end
% 2.02/2.42
% 2.02/2.42 subsumption: (18) {G0,W7,D2,L2,V3,M2} I { ! in( Y, Z ), alpha2( X, Y, Z )
% 2.02/2.42 }.
% 2.02/2.42 parent0: (10180) {G0,W7,D2,L2,V3,M2} { ! in( Y, Z ), alpha2( X, Y, Z ) }.
% 2.02/2.42 substitution0:
% 2.02/2.42 X := X
% 2.02/2.42 Y := Y
% 2.02/2.42 Z := Z
% 2.02/2.42 end
% 2.02/2.42 permutation0:
% 2.02/2.42 0 ==> 0
% 2.02/2.42 1 ==> 1
% 2.02/2.42 end
% 2.02/2.42
% 2.02/2.42 subsumption: (19) {G0,W7,D2,L2,V3,M2} I { ! X = Y, alpha2( X, Y, Z ) }.
% 2.02/2.42 parent0: (10181) {G0,W7,D2,L2,V3,M2} { ! X = Y, alpha2( X, Y, Z ) }.
% 2.02/2.42 substitution0:
% 2.02/2.42 X := X
% 2.02/2.42 Y := Y
% 2.02/2.42 Z := Z
% 2.02/2.42 end
% 2.02/2.42 permutation0:
% 2.02/2.42 0 ==> 0
% 2.02/2.42 1 ==> 1
% 2.02/2.42 end
% 2.02/2.42
% 2.02/2.42 factor: (10273) {G0,W3,D2,L1,V1,M1} { ! in( X, X ) }.
% 2.02/2.42 parent0[0, 1]: (1) {G0,W6,D2,L2,V2,M2} I { ! in( X, Y ), ! in( Y, X ) }.
% 2.02/2.42 substitution0:
% 2.02/2.42 X := X
% 2.02/2.42 Y := X
% 2.02/2.42 end
% 2.02/2.42
% 2.02/2.42 subsumption: (20) {G1,W3,D2,L1,V1,M1} F(1) { ! in( X, X ) }.
% 2.02/2.42 parent0: (10273) {G0,W3,D2,L1,V1,M1} { ! in( X, X ) }.
% 2.02/2.42 substitution0:
% 2.02/2.42 X := X
% 2.02/2.42 end
% 2.02/2.42 permutation0:
% 2.02/2.42 0 ==> 0
% 2.02/2.42 end
% 2.02/2.42
% 2.02/2.42 eqswap: (10274) {G0,W7,D2,L2,V3,M2} { ! Y = X, alpha1( X, Y, Z ) }.
% 2.02/2.42 parent0[0]: (13) {G0,W7,D2,L2,V3,M2} I { ! X = Y, alpha1( X, Y, Z ) }.
% 2.02/2.42 substitution0:
% 2.02/2.42 X := X
% 2.02/2.42 Y := Y
% 2.02/2.42 Z := Z
% 2.02/2.42 end
% 2.02/2.42
% 2.02/2.42 eqrefl: (10275) {G0,W4,D2,L1,V2,M1} { alpha1( X, X, Y ) }.
% 2.02/2.42 parent0[0]: (10274) {G0,W7,D2,L2,V3,M2} { ! Y = X, alpha1( X, Y, Z ) }.
% 2.02/2.42 substitution0:
% 2.02/2.42 X := X
% 2.02/2.42 Y := X
% 2.02/2.42 Z := Y
% 2.02/2.42 end
% 2.02/2.42
% 2.02/2.42 subsumption: (21) {G1,W4,D2,L1,V2,M1} Q(13) { alpha1( X, X, Y ) }.
% 2.02/2.42 parent0: (10275) {G0,W4,D2,L1,V2,M1} { alpha1( X, X, Y ) }.
% 2.02/2.42 substitution0:
% 2.02/2.42 X := X
% 2.02/2.42 Y := Y
% 2.02/2.42 end
% 2.02/2.42 permutation0:
% 2.02/2.42 0 ==> 0
% 2.02/2.42 end
% 2.02/2.42
% 2.02/2.42 eqswap: (10276) {G0,W7,D2,L2,V3,M2} { ! Y = X, alpha2( X, Y, Z ) }.
% 2.02/2.42 parent0[0]: (19) {G0,W7,D2,L2,V3,M2} I { ! X = Y, alpha2( X, Y, Z ) }.
% 2.02/2.42 substitution0:
% 2.02/2.42 X := X
% 2.02/2.42 Y := Y
% 2.02/2.42 Z := Z
% 2.02/2.42 end
% 2.02/2.42
% 2.02/2.42 eqrefl: (10277) {G0,W4,D2,L1,V2,M1} { alpha2( X, X, Y ) }.
% 2.02/2.42 parent0[0]: (10276) {G0,W7,D2,L2,V3,M2} { ! Y = X, alpha2( X, Y, Z ) }.
% 2.02/2.42 substitution0:
% 2.02/2.42 X := X
% 2.02/2.42 Y := X
% 2.02/2.42 Z := Y
% 2.02/2.42 end
% 2.02/2.42
% 2.02/2.42 subsumption: (22) {G1,W4,D2,L1,V2,M1} Q(19) { alpha2( X, X, Y ) }.
% 2.02/2.42 parent0: (10277) {G0,W4,D2,L1,V2,M1} { alpha2( X, X, Y ) }.
% 2.02/2.42 substitution0:
% 2.02/2.42 X := X
% 2.02/2.42 Y := Y
% 2.02/2.42 end
% 2.02/2.42 permutation0:
% 2.02/2.42 0 ==> 0
% 2.02/2.42 end
% 2.02/2.42
% 2.02/2.42 eqswap: (10278) {G0,W12,D4,L2,V0,M2} { ! singleton( skol3 ) ==>
% 2.02/2.42 set_difference( unordered_pair( skol3, skol4 ), skol5 ), alpha3( skol3,
% 2.02/2.42 skol4, skol5 ) }.
% 2.02/2.42 parent0[1]: (6) {G0,W12,D4,L2,V0,M2} I { alpha3( skol3, skol4, skol5 ), !
% 2.02/2.42 set_difference( unordered_pair( skol3, skol4 ), skol5 ) ==> singleton(
% 2.02/2.42 skol3 ) }.
% 2.02/2.42 substitution0:
% 2.02/2.42 end
% 2.02/2.42
% 2.02/2.42 paramod: (10279) {G1,W12,D4,L2,V0,M2} { ! singleton( skol3 ) ==>
% 2.02/2.42 set_difference( unordered_pair( skol4, skol3 ), skol5 ), alpha3( skol3,
% 2.02/2.42 skol4, skol5 ) }.
% 2.02/2.42 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { unordered_pair( X, Y ) =
% 2.02/2.42 unordered_pair( Y, X ) }.
% 2.02/2.42 parent1[0; 5]: (10278) {G0,W12,D4,L2,V0,M2} { ! singleton( skol3 ) ==>
% 2.02/2.42 set_difference( unordered_pair( skol3, skol4 ), skol5 ), alpha3( skol3,
% 2.02/2.42 skol4, skol5 ) }.
% 2.02/2.42 substitution0:
% 2.02/2.42 X := skol3
% 2.02/2.42 Y := skol4
% 2.02/2.42 end
% 2.02/2.42 substitution1:
% 2.02/2.42 end
% 2.02/2.42
% 2.02/2.42 eqswap: (10282) {G1,W12,D4,L2,V0,M2} { ! set_difference( unordered_pair(
% 2.02/2.42 skol4, skol3 ), skol5 ) ==> singleton( skol3 ), alpha3( skol3, skol4,
% 2.02/2.42 skol5 ) }.
% 2.02/2.42 parent0[0]: (10279) {G1,W12,D4,L2,V0,M2} { ! singleton( skol3 ) ==>
% 2.02/2.42 set_difference( unordered_pair( skol4, skol3 ), skol5 ), alpha3( skol3,
% 2.02/2.42 skol4, skol5 ) }.
% 2.02/2.42 substitution0:
% 2.02/2.42 end
% 2.02/2.42
% 2.02/2.42 subsumption: (25) {G1,W12,D4,L2,V0,M2} P(0,6) { alpha3( skol3, skol4, skol5
% 2.02/2.42 ), ! set_difference( unordered_pair( skol4, skol3 ), skol5 ) ==>
% 2.02/2.42 singleton( skol3 ) }.
% 2.02/2.42 parent0: (10282) {G1,W12,D4,L2,V0,M2} { ! set_difference( unordered_pair(
% 2.02/2.42 skol4, skol3 ), skol5 ) ==> singleton( skol3 ), alpha3( skol3, skol4,
% 2.02/2.42 skol5 ) }.
% 2.02/2.42 substitution0:
% 2.02/2.42 end
% 2.02/2.42 permutation0:
% 2.02/2.42 0 ==> 1
% 2.02/2.42 1 ==> 0
% 2.02/2.42 end
% 2.02/2.42
% 2.02/2.42 eqswap: (10283) {G0,W10,D2,L3,V3,M3} { Y = X, ! alpha2( X, Y, Z ), in( Y,
% 2.02/2.42 Z ) }.
% 2.02/2.42 parent0[2]: (17) {G0,W10,D2,L3,V3,M3} I { ! alpha2( X, Y, Z ), in( Y, Z ),
% 2.02/2.42 X = Y }.
% 2.02/2.42 substitution0:
% 2.02/2.42 X := X
% 2.02/2.42 Y := Y
% 2.02/2.42 Z := Z
% 2.02/2.42 end
% 2.02/2.42
% 2.02/2.42 resolution: (10284) {G1,W11,D2,L3,V4,M3} { alpha1( Z, X, Y ), X = T, !
% 2.02/2.42 alpha2( T, X, Y ) }.
% 2.02/2.42 parent0[0]: (12) {G0,W7,D2,L2,V3,M2} I { ! in( Y, Z ), alpha1( X, Y, Z )
% 2.02/2.42 }.
% 2.02/2.42 parent1[2]: (10283) {G0,W10,D2,L3,V3,M3} { Y = X, ! alpha2( X, Y, Z ), in
% 2.02/2.42 ( Y, Z ) }.
% 2.02/2.42 substitution0:
% 2.02/2.42 X := Z
% 2.02/2.42 Y := X
% 2.02/2.42 Z := Y
% 2.02/2.42 end
% 2.02/2.42 substitution1:
% 2.02/2.42 X := T
% 2.02/2.42 Y := X
% 2.02/2.42 Z := Y
% 2.02/2.42 end
% 2.02/2.42
% 2.02/2.42 eqswap: (10285) {G1,W11,D2,L3,V4,M3} { Y = X, alpha1( Z, X, T ), ! alpha2
% 2.02/2.42 ( Y, X, T ) }.
% 2.02/2.42 parent0[1]: (10284) {G1,W11,D2,L3,V4,M3} { alpha1( Z, X, Y ), X = T, !
% 2.02/2.42 alpha2( T, X, Y ) }.
% 2.02/2.42 substitution0:
% 2.02/2.42 X := X
% 2.02/2.42 Y := T
% 2.02/2.42 Z := Z
% 2.02/2.42 T := Y
% 2.02/2.42 end
% 2.02/2.42
% 2.02/2.42 subsumption: (26) {G1,W11,D2,L3,V4,M3} R(17,12) { ! alpha2( X, Y, Z ), X =
% 2.02/2.42 Y, alpha1( T, Y, Z ) }.
% 2.02/2.42 parent0: (10285) {G1,W11,D2,L3,V4,M3} { Y = X, alpha1( Z, X, T ), ! alpha2
% 2.02/2.42 ( Y, X, T ) }.
% 2.02/2.42 substitution0:
% 2.02/2.42 X := Y
% 2.02/2.42 Y := X
% 2.02/2.42 Z := T
% 2.02/2.42 T := Z
% 2.02/2.42 end
% 2.02/2.42 permutation0:
% 2.02/2.42 0 ==> 1
% 2.02/2.42 1 ==> 2
% 2.02/2.42 2 ==> 0
% 2.02/2.42 end
% 2.02/2.42
% 2.02/2.42 eqswap: (10286) {G0,W12,D4,L2,V3,M2} { singleton( X ) ==> set_difference(
% 2.02/2.42 unordered_pair( X, Y ), Z ), ! alpha3( X, Y, Z ) }.
% 2.02/2.42 parent0[1]: (7) {G0,W12,D4,L2,V3,M2} I { ! alpha3( X, Y, Z ),
% 2.02/2.42 set_difference( unordered_pair( X, Y ), Z ) ==> singleton( X ) }.
% 2.02/2.42 substitution0:
% 2.02/2.42 X := X
% 2.02/2.42 Y := Y
% 2.02/2.42 Z := Z
% 2.02/2.42 end
% 2.02/2.42
% 2.02/2.42 resolution: (10287) {G1,W12,D4,L2,V0,M2} { singleton( skol3 ) ==>
% 2.02/2.42 set_difference( unordered_pair( skol3, skol4 ), skol5 ), alpha1( skol3,
% 2.02/2.42 skol4, skol5 ) }.
% 2.02/2.42 parent0[1]: (10286) {G0,W12,D4,L2,V3,M2} { singleton( X ) ==>
% 2.02/2.42 set_difference( unordered_pair( X, Y ), Z ), ! alpha3( X, Y, Z ) }.
% 2.02/2.42 parent1[0]: (5) {G0,W8,D2,L2,V0,M2} I { alpha3( skol3, skol4, skol5 ),
% 2.02/2.42 alpha1( skol3, skol4, skol5 ) }.
% 2.02/2.42 substitution0:
% 2.02/2.42 X := skol3
% 2.02/2.42 Y := skol4
% 2.02/2.42 Z := skol5
% 2.02/2.42 end
% 2.02/2.42 substitution1:
% 2.02/2.42 end
% 2.02/2.42
% 2.02/2.42 eqswap: (10288) {G1,W12,D4,L2,V0,M2} { set_difference( unordered_pair(
% 2.02/2.42 skol3, skol4 ), skol5 ) ==> singleton( skol3 ), alpha1( skol3, skol4,
% 2.02/2.42 skol5 ) }.
% 2.02/2.42 parent0[0]: (10287) {G1,W12,D4,L2,V0,M2} { singleton( skol3 ) ==>
% 2.02/2.42 set_difference( unordered_pair( skol3, skol4 ), skol5 ), alpha1( skol3,
% 2.02/2.42 skol4, skol5 ) }.
% 2.02/2.42 substitution0:
% 2.02/2.42 end
% 2.02/2.42
% 2.02/2.42 subsumption: (68) {G1,W12,D4,L2,V0,M2} R(7,5) { set_difference(
% 2.02/2.42 unordered_pair( skol3, skol4 ), skol5 ) ==> singleton( skol3 ), alpha1(
% 2.02/2.42 skol3, skol4, skol5 ) }.
% 2.02/2.42 parent0: (10288) {G1,W12,D4,L2,V0,M2} { set_difference( unordered_pair(
% 2.02/2.42 skol3, skol4 ), skol5 ) ==> singleton( skol3 ), alpha1( skol3, skol4,
% 2.02/2.42 skol5 ) }.
% 2.02/2.42 substitution0:
% 2.02/2.42 end
% 2.02/2.42 permutation0:
% 2.02/2.42 0 ==> 0
% 2.02/2.42 1 ==> 1
% 2.02/2.42 end
% 2.02/2.42
% 2.02/2.42 eqswap: (10289) {G0,W12,D4,L2,V3,M2} { singleton( X ) ==> set_difference(
% 2.02/2.42 unordered_pair( X, Y ), Z ), ! alpha3( X, Y, Z ) }.
% 2.02/2.42 parent0[1]: (7) {G0,W12,D4,L2,V3,M2} I { ! alpha3( X, Y, Z ),
% 2.02/2.42 set_difference( unordered_pair( X, Y ), Z ) ==> singleton( X ) }.
% 2.02/2.42 substitution0:
% 2.02/2.42 X := X
% 2.02/2.42 Y := Y
% 2.02/2.42 Z := Z
% 2.02/2.42 end
% 2.02/2.42
% 2.02/2.42 eqswap: (10290) {G0,W11,D4,L2,V3,M2} { ! singleton( X ) ==> set_difference
% 2.02/2.42 ( unordered_pair( X, Y ), Z ), ! in( X, Z ) }.
% 2.02/2.42 parent0[0]: (14) {G0,W11,D4,L2,V3,M2} I { ! set_difference( unordered_pair
% 2.02/2.42 ( X, Y ), Z ) ==> singleton( X ), ! in( X, Z ) }.
% 2.02/2.42 substitution0:
% 2.02/2.42 X := X
% 2.02/2.42 Y := Y
% 2.02/2.42 Z := Z
% 2.02/2.42 end
% 2.02/2.42
% 2.02/2.42 resolution: (10291) {G1,W11,D4,L2,V0,M2} { singleton( skol3 ) ==>
% 2.02/2.42 set_difference( unordered_pair( skol3, skol4 ), skol5 ), ! in( skol3,
% 2.02/2.42 skol5 ) }.
% 2.02/2.42 parent0[1]: (10289) {G0,W12,D4,L2,V3,M2} { singleton( X ) ==>
% 2.02/2.42 set_difference( unordered_pair( X, Y ), Z ), ! alpha3( X, Y, Z ) }.
% 2.02/2.42 parent1[0]: (4) {G0,W7,D2,L2,V0,M2} I { alpha3( skol3, skol4, skol5 ), ! in
% 2.02/2.42 ( skol3, skol5 ) }.
% 2.02/2.42 substitution0:
% 2.02/2.42 X := skol3
% 2.02/2.42 Y := skol4
% 2.02/2.42 Z := skol5
% 2.02/2.42 end
% 2.02/2.42 substitution1:
% 2.02/2.42 end
% 2.02/2.42
% 2.02/2.42 resolution: (10292) {G1,W6,D2,L2,V0,M2} { ! in( skol3, skol5 ), ! in(
% 2.02/2.42 skol3, skol5 ) }.
% 2.02/2.42 parent0[0]: (10290) {G0,W11,D4,L2,V3,M2} { ! singleton( X ) ==>
% 2.02/2.42 set_difference( unordered_pair( X, Y ), Z ), ! in( X, Z ) }.
% 2.02/2.42 parent1[0]: (10291) {G1,W11,D4,L2,V0,M2} { singleton( skol3 ) ==>
% 2.02/2.42 set_difference( unordered_pair( skol3, skol4 ), skol5 ), ! in( skol3,
% 2.02/2.42 skol5 ) }.
% 2.02/2.42 substitution0:
% 2.02/2.42 X := skol3
% 2.02/2.42 Y := skol4
% 2.02/2.42 Z := skol5
% 2.02/2.42 end
% 2.02/2.42 substitution1:
% 2.02/2.42 end
% 2.02/2.42
% 2.02/2.42 factor: (10293) {G1,W3,D2,L1,V0,M1} { ! in( skol3, skol5 ) }.
% 2.02/2.42 parent0[0, 1]: (10292) {G1,W6,D2,L2,V0,M2} { ! in( skol3, skol5 ), ! in(
% 2.02/2.42 skol3, skol5 ) }.
% 2.02/2.42 substitution0:
% 2.02/2.42 end
% 2.02/2.42
% 2.02/2.42 subsumption: (69) {G1,W3,D2,L1,V0,M1} R(7,4);r(14) { ! in( skol3, skol5 )
% 2.02/2.42 }.
% 2.02/2.42 parent0: (10293) {G1,W3,D2,L1,V0,M1} { ! in( skol3, skol5 ) }.
% 2.02/2.42 substitution0:
% 2.02/2.42 end
% 2.02/2.42 permutation0:
% 2.02/2.42 0 ==> 0
% 2.02/2.42 end
% 2.02/2.42
% 2.02/2.42 resolution: (10294) {G1,W7,D2,L2,V2,M2} { ! alpha3( X, X, Y ), in( X, Y )
% 2.02/2.42 }.
% 2.02/2.42 parent0[2]: (8) {G0,W11,D2,L3,V3,M3} I { ! alpha3( X, Y, Z ), in( X, Z ), !
% 2.02/2.42 alpha1( X, Y, Z ) }.
% 2.02/2.42 parent1[0]: (21) {G1,W4,D2,L1,V2,M1} Q(13) { alpha1( X, X, Y ) }.
% 2.02/2.42 substitution0:
% 2.02/2.42 X := X
% 2.02/2.42 Y := X
% 2.02/2.42 Z := Y
% 2.02/2.42 end
% 2.02/2.42 substitution1:
% 2.02/2.42 X := X
% 2.02/2.42 Y := Y
% 2.02/2.42 end
% 2.02/2.42
% 2.02/2.42 subsumption: (101) {G2,W7,D2,L2,V2,M2} R(8,21) { ! alpha3( X, X, Y ), in( X
% 2.02/2.42 , Y ) }.
% 2.02/2.42 parent0: (10294) {G1,W7,D2,L2,V2,M2} { ! alpha3( X, X, Y ), in( X, Y ) }.
% 2.02/2.42 substitution0:
% 2.02/2.42 X := X
% 2.02/2.42 Y := Y
% 2.02/2.42 end
% 2.02/2.42 permutation0:
% 2.02/2.42 0 ==> 0
% 2.02/2.42 1 ==> 1
% 2.02/2.42 end
% 2.02/2.42
% 2.02/2.42 eqswap: (10295) {G0,W10,D2,L3,V3,M3} { Y = X, ! alpha1( X, Y, Z ), in( Y,
% 2.02/2.42 Z ) }.
% 2.02/2.42 parent0[2]: (11) {G0,W10,D2,L3,V3,M3} I { ! alpha1( X, Y, Z ), in( Y, Z ),
% 2.02/2.42 X = Y }.
% 2.02/2.42 substitution0:
% 2.02/2.42 X := X
% 2.02/2.42 Y := Y
% 2.02/2.42 Z := Z
% 2.02/2.42 end
% 2.02/2.42
% 2.02/2.42 resolution: (10296) {G1,W10,D2,L3,V0,M3} { skol4 = skol3, in( skol4, skol5
% 2.02/2.42 ), alpha3( skol3, skol4, skol5 ) }.
% 2.02/2.42 parent0[1]: (10295) {G0,W10,D2,L3,V3,M3} { Y = X, ! alpha1( X, Y, Z ), in
% 2.02/2.42 ( Y, Z ) }.
% 2.02/2.42 parent1[1]: (5) {G0,W8,D2,L2,V0,M2} I { alpha3( skol3, skol4, skol5 ),
% 2.02/2.42 alpha1( skol3, skol4, skol5 ) }.
% 2.02/2.42 substitution0:
% 2.02/2.42 X := skol3
% 2.02/2.42 Y := skol4
% 2.02/2.42 Z := skol5
% 2.02/2.42 end
% 2.02/2.42 substitution1:
% 2.02/2.42 end
% 2.02/2.42
% 2.02/2.42 subsumption: (164) {G1,W10,D2,L3,V0,M3} R(11,5) { in( skol4, skol5 ), skol4
% 2.02/2.42 ==> skol3, alpha3( skol3, skol4, skol5 ) }.
% 2.02/2.42 parent0: (10296) {G1,W10,D2,L3,V0,M3} { skol4 = skol3, in( skol4, skol5 )
% 97.17/97.58 , alpha3( skol3, skol4, skol5 ) }.
% 97.17/97.58 substitution0:
% 97.17/97.58 end
% 97.17/97.58 permutation0:
% 97.17/97.58 0 ==> 1
% 97.17/97.58 1 ==> 0
% 97.17/97.58 2 ==> 2
% 97.17/97.58 end
% 97.17/97.58
% 97.17/97.58 eqswap: (10298) {G0,W10,D2,L3,V3,M3} { Y = X, ! alpha1( X, Y, Z ), in( Y,
% 97.17/97.58 Z ) }.
% 97.17/97.58 parent0[2]: (11) {G0,W10,D2,L3,V3,M3} I { ! alpha1( X, Y, Z ), in( Y, Z ),
% 97.17/97.58 X = Y }.
% 97.17/97.58 substitution0:
% 97.17/97.58 X := X
% 97.17/97.58 Y := Y
% 97.17/97.58 Z := Z
% 97.17/97.58 end
% 97.17/97.58
% 97.17/97.58 resolution: (10299) {G1,W7,D2,L2,V2,M2} { X = Y, ! alpha1( Y, X, X ) }.
% 97.17/97.58 parent0[0]: (20) {G1,W3,D2,L1,V1,M1} F(1) { ! in( X, X ) }.
% 97.17/97.58 parent1[2]: (10298) {G0,W10,D2,L3,V3,M3} { Y = X, ! alpha1( X, Y, Z ), in
% 97.17/97.58 ( Y, Z ) }.
% 97.17/97.58 substitution0:
% 97.17/97.58 X := X
% 97.17/97.58 end
% 97.17/97.58 substitution1:
% 97.17/97.58 X := Y
% 97.17/97.58 Y := X
% 97.17/97.58 Z := X
% 97.17/97.58 end
% 97.17/97.58
% 97.17/97.58 eqswap: (10300) {G1,W7,D2,L2,V2,M2} { Y = X, ! alpha1( Y, X, X ) }.
% 97.17/97.58 parent0[0]: (10299) {G1,W7,D2,L2,V2,M2} { X = Y, ! alpha1( Y, X, X ) }.
% 97.17/97.58 substitution0:
% 97.17/97.58 X := X
% 97.17/97.58 Y := Y
% 97.17/97.58 end
% 97.17/97.58
% 97.17/97.58 subsumption: (170) {G2,W7,D2,L2,V2,M2} R(11,20) { ! alpha1( X, Y, Y ), X =
% 97.17/97.58 Y }.
% 97.17/97.58 parent0: (10300) {G1,W7,D2,L2,V2,M2} { Y = X, ! alpha1( Y, X, X ) }.
% 97.17/97.58 substitution0:
% 97.17/97.58 X := Y
% 97.17/97.58 Y := X
% 97.17/97.58 end
% 97.17/97.58 permutation0:
% 97.17/97.58 0 ==> 1
% 97.17/97.58 1 ==> 0
% 97.17/97.58 end
% 97.17/97.58
% 97.17/97.58 *** allocated 15000 integers for justifications
% 97.17/97.58 *** allocated 256285 integers for termspace/termends
% 97.17/97.58 *** allocated 22500 integers for justifications
% 97.17/97.58 *** allocated 33750 integers for justifications
% 97.17/97.58 *** allocated 50625 integers for justifications
% 97.17/97.58 *** allocated 75937 integers for justifications
% 97.17/97.58 *** allocated 113905 integers for justifications
% 97.17/97.58 *** allocated 384427 integers for termspace/termends
% 97.17/97.58 *** allocated 170857 integers for justifications
% 97.17/97.58 *** allocated 256285 integers for justifications
% 97.17/97.58 *** allocated 576640 integers for termspace/termends
% 97.17/97.58 *** allocated 864960 integers for clauses
% 97.17/97.58 *** allocated 384427 integers for justifications
% 97.17/97.58 *** allocated 864960 integers for termspace/termends
% 97.17/97.58 *** allocated 576640 integers for justifications
% 97.17/97.58 *** allocated 864960 integers for justifications
% 97.17/97.58 *** allocated 1297440 integers for termspace/termends
% 97.17/97.58 *** allocated 1297440 integers for clauses
% 97.17/97.58 paramod: (28865) {G2,W7,D2,L2,V1,M2} { ! in( X, skol5 ), ! alpha1( skol3,
% 97.17/97.58 X, X ) }.
% 97.17/97.58 parent0[1]: (170) {G2,W7,D2,L2,V2,M2} R(11,20) { ! alpha1( X, Y, Y ), X = Y
% 97.17/97.58 }.
% 97.17/97.58 parent1[0; 2]: (69) {G1,W3,D2,L1,V0,M1} R(7,4);r(14) { ! in( skol3, skol5 )
% 97.17/97.58 }.
% 97.17/97.58 substitution0:
% 97.17/97.58 X := skol3
% 97.17/97.58 Y := X
% 97.17/97.58 end
% 97.17/97.58 substitution1:
% 97.17/97.58 end
% 97.17/97.58
% 97.17/97.58 subsumption: (242) {G3,W7,D2,L2,V1,M2} P(170,69) { ! in( X, skol5 ), !
% 97.17/97.58 alpha1( skol3, X, X ) }.
% 97.17/97.58 parent0: (28865) {G2,W7,D2,L2,V1,M2} { ! in( X, skol5 ), ! alpha1( skol3,
% 97.17/97.58 X, X ) }.
% 97.17/97.58 substitution0:
% 97.17/97.58 X := X
% 97.17/97.58 end
% 97.17/97.58 permutation0:
% 97.17/97.58 0 ==> 0
% 97.17/97.58 1 ==> 1
% 97.17/97.58 end
% 97.17/97.58
% 97.17/97.58 eqswap: (40700) {G0,W11,D4,L2,V3,M2} { ! singleton( X ) ==> set_difference
% 97.17/97.58 ( unordered_pair( X, Y ), Z ), ! in( X, Z ) }.
% 97.17/97.58 parent0[0]: (14) {G0,W11,D4,L2,V3,M2} I { ! set_difference( unordered_pair
% 97.17/97.58 ( X, Y ), Z ) ==> singleton( X ), ! in( X, Z ) }.
% 97.17/97.58 substitution0:
% 97.17/97.58 X := X
% 97.17/97.58 Y := Y
% 97.17/97.58 Z := Z
% 97.17/97.58 end
% 97.17/97.58
% 97.17/97.58 eqswap: (40701) {G0,W12,D4,L2,V3,M2} { singleton( X ) ==> set_difference(
% 97.17/97.58 unordered_pair( X, Y ), Z ), ! alpha3( X, Y, Z ) }.
% 97.17/97.58 parent0[1]: (7) {G0,W12,D4,L2,V3,M2} I { ! alpha3( X, Y, Z ),
% 97.17/97.58 set_difference( unordered_pair( X, Y ), Z ) ==> singleton( X ) }.
% 97.17/97.58 substitution0:
% 97.17/97.58 X := X
% 97.17/97.58 Y := Y
% 97.17/97.58 Z := Z
% 97.17/97.58 end
% 97.17/97.58
% 97.17/97.58 resolution: (40702) {G1,W7,D2,L2,V3,M2} { ! in( X, Z ), ! alpha3( X, Y, Z
% 97.17/97.58 ) }.
% 97.17/97.58 parent0[0]: (40700) {G0,W11,D4,L2,V3,M2} { ! singleton( X ) ==>
% 97.17/97.58 set_difference( unordered_pair( X, Y ), Z ), ! in( X, Z ) }.
% 97.17/97.58 parent1[0]: (40701) {G0,W12,D4,L2,V3,M2} { singleton( X ) ==>
% 97.17/97.58 set_difference( unordered_pair( X, Y ), Z ), ! alpha3( X, Y, Z ) }.
% 97.17/97.58 substitution0:
% 97.17/97.58 X := X
% 97.17/97.58 Y := Y
% 97.17/97.58 Z := Z
% 97.17/97.58 end
% 97.17/97.58 substitution1:
% 97.17/97.58 X := X
% 97.17/97.58 Y := Y
% 97.17/97.58 Z := Z
% 97.17/97.58 end
% 97.17/97.58
% 97.17/97.58 subsumption: (263) {G1,W7,D2,L2,V3,M2} R(14,7) { ! in( X, Y ), ! alpha3( X
% 97.17/97.58 , Z, Y ) }.
% 97.17/97.58 parent0: (40702) {G1,W7,D2,L2,V3,M2} { ! in( X, Z ), ! alpha3( X, Y, Z )
% 97.17/97.58 }.
% 97.17/97.58 substitution0:
% 97.17/97.58 X := X
% 97.17/97.58 Y := Z
% 97.17/97.58 Z := Y
% 97.17/97.58 end
% 97.17/97.58 permutation0:
% 97.17/97.58 0 ==> 0
% 97.17/97.58 1 ==> 1
% 97.17/97.58 end
% 97.17/97.58
% 97.17/97.58 resolution: (40703) {G2,W8,D2,L2,V3,M2} { ! alpha3( X, Z, Y ), ! alpha3( X
% 97.17/97.58 , X, Y ) }.
% 97.17/97.58 parent0[0]: (263) {G1,W7,D2,L2,V3,M2} R(14,7) { ! in( X, Y ), ! alpha3( X,
% 97.17/97.58 Z, Y ) }.
% 97.17/97.58 parent1[1]: (101) {G2,W7,D2,L2,V2,M2} R(8,21) { ! alpha3( X, X, Y ), in( X
% 97.17/97.58 , Y ) }.
% 97.17/97.58 substitution0:
% 97.17/97.58 X := X
% 97.17/97.58 Y := Y
% 97.17/97.58 Z := Z
% 97.17/97.58 end
% 97.17/97.58 substitution1:
% 97.17/97.58 X := X
% 97.17/97.58 Y := Y
% 97.17/97.58 end
% 97.17/97.58
% 97.17/97.58 subsumption: (290) {G3,W8,D2,L2,V3,M2} R(263,101) { ! alpha3( X, Y, Z ), !
% 97.17/97.58 alpha3( X, X, Z ) }.
% 97.17/97.58 parent0: (40703) {G2,W8,D2,L2,V3,M2} { ! alpha3( X, Z, Y ), ! alpha3( X, X
% 97.17/97.58 , Y ) }.
% 97.17/97.58 substitution0:
% 97.17/97.58 X := X
% 97.17/97.58 Y := Z
% 97.17/97.58 Z := Y
% 97.17/97.58 end
% 97.17/97.58 permutation0:
% 97.17/97.58 0 ==> 0
% 97.17/97.58 1 ==> 1
% 97.17/97.58 end
% 97.17/97.58
% 97.17/97.58 resolution: (40705) {G1,W12,D2,L3,V4,M3} { ! alpha3( X, Z, Y ), ! alpha3(
% 97.17/97.58 X, T, Y ), ! alpha1( X, T, Y ) }.
% 97.17/97.58 parent0[0]: (263) {G1,W7,D2,L2,V3,M2} R(14,7) { ! in( X, Y ), ! alpha3( X,
% 97.17/97.58 Z, Y ) }.
% 97.17/97.58 parent1[1]: (8) {G0,W11,D2,L3,V3,M3} I { ! alpha3( X, Y, Z ), in( X, Z ), !
% 97.17/97.58 alpha1( X, Y, Z ) }.
% 97.17/97.58 substitution0:
% 97.17/97.58 X := X
% 97.17/97.58 Y := Y
% 97.17/97.58 Z := Z
% 97.17/97.58 end
% 97.17/97.58 substitution1:
% 97.17/97.58 X := X
% 97.17/97.58 Y := T
% 97.17/97.58 Z := Y
% 97.17/97.58 end
% 97.17/97.58
% 97.17/97.58 subsumption: (291) {G2,W12,D2,L3,V4,M3} R(263,8) { ! alpha3( X, Y, Z ), !
% 97.17/97.58 alpha3( X, T, Z ), ! alpha1( X, T, Z ) }.
% 97.17/97.58 parent0: (40705) {G1,W12,D2,L3,V4,M3} { ! alpha3( X, Z, Y ), ! alpha3( X,
% 97.17/97.58 T, Y ), ! alpha1( X, T, Y ) }.
% 97.17/97.58 substitution0:
% 97.17/97.58 X := X
% 97.17/97.58 Y := Z
% 97.17/97.58 Z := Y
% 97.17/97.58 T := T
% 97.17/97.58 end
% 97.17/97.58 permutation0:
% 97.17/97.58 0 ==> 0
% 97.17/97.58 1 ==> 1
% 97.17/97.58 2 ==> 2
% 97.17/97.58 end
% 97.17/97.58
% 97.17/97.58 factor: (40707) {G2,W8,D2,L2,V3,M2} { ! alpha3( X, Y, Z ), ! alpha1( X, Y
% 97.17/97.58 , Z ) }.
% 97.17/97.58 parent0[0, 1]: (291) {G2,W12,D2,L3,V4,M3} R(263,8) { ! alpha3( X, Y, Z ), !
% 97.17/97.58 alpha3( X, T, Z ), ! alpha1( X, T, Z ) }.
% 97.17/97.58 substitution0:
% 97.17/97.58 X := X
% 97.17/97.58 Y := Y
% 97.17/97.58 Z := Z
% 97.17/97.58 T := Y
% 97.17/97.58 end
% 97.17/97.58
% 97.17/97.58 subsumption: (293) {G3,W8,D2,L2,V3,M2} F(291) { ! alpha3( X, Y, Z ), !
% 97.17/97.58 alpha1( X, Y, Z ) }.
% 97.17/97.58 parent0: (40707) {G2,W8,D2,L2,V3,M2} { ! alpha3( X, Y, Z ), ! alpha1( X, Y
% 97.17/97.58 , Z ) }.
% 97.17/97.58 substitution0:
% 97.17/97.58 X := X
% 97.17/97.58 Y := Y
% 97.17/97.58 Z := Z
% 97.17/97.58 end
% 97.17/97.58 permutation0:
% 97.17/97.58 0 ==> 0
% 97.17/97.58 1 ==> 1
% 97.17/97.58 end
% 97.17/97.58
% 97.17/97.58 factor: (40708) {G3,W4,D2,L1,V2,M1} { ! alpha3( X, X, Y ) }.
% 97.17/97.58 parent0[0, 1]: (290) {G3,W8,D2,L2,V3,M2} R(263,101) { ! alpha3( X, Y, Z ),
% 97.17/97.58 ! alpha3( X, X, Z ) }.
% 97.17/97.58 substitution0:
% 97.17/97.58 X := X
% 97.17/97.58 Y := X
% 97.17/97.58 Z := Y
% 97.17/97.58 end
% 97.17/97.58
% 97.17/97.58 subsumption: (294) {G4,W4,D2,L1,V2,M1} F(290) { ! alpha3( X, X, Y ) }.
% 97.17/97.58 parent0: (40708) {G3,W4,D2,L1,V2,M1} { ! alpha3( X, X, Y ) }.
% 97.17/97.58 substitution0:
% 97.17/97.58 X := X
% 97.17/97.58 Y := Y
% 97.17/97.58 end
% 97.17/97.58 permutation0:
% 97.17/97.58 0 ==> 0
% 97.17/97.58 end
% 97.17/97.58
% 97.17/97.58 eqswap: (40709) {G0,W12,D4,L2,V3,M2} { ! singleton( X ) ==> set_difference
% 97.17/97.58 ( unordered_pair( X, Y ), Z ), alpha2( X, Y, Z ) }.
% 97.17/97.58 parent0[0]: (15) {G0,W12,D4,L2,V3,M2} I { ! set_difference( unordered_pair
% 97.17/97.58 ( X, Y ), Z ) ==> singleton( X ), alpha2( X, Y, Z ) }.
% 97.17/97.58 substitution0:
% 97.17/97.58 X := X
% 97.17/97.58 Y := Y
% 97.17/97.58 Z := Z
% 97.17/97.58 end
% 97.17/97.58
% 97.17/97.58 eqswap: (40710) {G0,W12,D4,L2,V3,M2} { singleton( X ) ==> set_difference(
% 97.17/97.58 unordered_pair( X, Y ), Z ), ! alpha3( X, Y, Z ) }.
% 97.17/97.58 parent0[1]: (7) {G0,W12,D4,L2,V3,M2} I { ! alpha3( X, Y, Z ),
% 97.17/97.58 set_difference( unordered_pair( X, Y ), Z ) ==> singleton( X ) }.
% 97.17/97.58 substitution0:
% 97.17/97.58 X := X
% 97.17/97.58 Y := Y
% 97.17/97.58 Z := Z
% 97.17/97.58 end
% 97.17/97.58
% 97.17/97.58 resolution: (40711) {G1,W8,D2,L2,V3,M2} { alpha2( X, Y, Z ), ! alpha3( X,
% 97.17/97.58 Y, Z ) }.
% 97.17/97.58 parent0[0]: (40709) {G0,W12,D4,L2,V3,M2} { ! singleton( X ) ==>
% 97.17/97.58 set_difference( unordered_pair( X, Y ), Z ), alpha2( X, Y, Z ) }.
% 97.17/97.58 parent1[0]: (40710) {G0,W12,D4,L2,V3,M2} { singleton( X ) ==>
% 97.17/97.58 set_difference( unordered_pair( X, Y ), Z ), ! alpha3( X, Y, Z ) }.
% 97.17/97.58 substitution0:
% 97.17/97.58 X := X
% 97.17/97.58 Y := Y
% 97.17/97.58 Z := Z
% 97.17/97.58 end
% 97.17/97.58 substitution1:
% 97.17/97.58 X := X
% 97.17/97.58 Y := Y
% 97.17/97.58 Z := Z
% 97.17/97.58 end
% 97.17/97.58
% 97.17/97.58 subsumption: (302) {G1,W8,D2,L2,V3,M2} R(15,7) { alpha2( X, Y, Z ), !
% 97.17/97.58 alpha3( X, Y, Z ) }.
% 97.17/97.58 parent0: (40711) {G1,W8,D2,L2,V3,M2} { alpha2( X, Y, Z ), ! alpha3( X, Y,
% 97.17/97.58 Z ) }.
% 97.17/97.58 substitution0:
% 97.17/97.58 X := X
% 97.17/97.58 Y := Y
% 97.17/97.58 Z := Z
% 97.17/97.58 end
% 97.17/97.58 permutation0:
% 97.17/97.58 0 ==> 0
% 97.17/97.58 1 ==> 1
% 97.17/97.58 end
% 97.17/97.58
% 97.17/97.58 eqswap: (40712) {G0,W15,D4,L3,V3,M3} { singleton( X ) ==> set_difference(
% 97.17/97.58 unordered_pair( X, Y ), Z ), in( X, Z ), ! alpha2( X, Y, Z ) }.
% 97.17/97.58 parent0[2]: (16) {G0,W15,D4,L3,V3,M3} I { in( X, Z ), ! alpha2( X, Y, Z ),
% 97.17/97.58 set_difference( unordered_pair( X, Y ), Z ) ==> singleton( X ) }.
% 97.17/97.58 substitution0:
% 97.17/97.58 X := X
% 97.17/97.58 Y := Y
% 97.17/97.58 Z := Z
% 97.17/97.58 end
% 97.17/97.58
% 97.17/97.58 eqswap: (40713) {G0,W12,D4,L2,V0,M2} { ! singleton( skol3 ) ==>
% 97.17/97.58 set_difference( unordered_pair( skol3, skol4 ), skol5 ), alpha3( skol3,
% 97.17/97.58 skol4, skol5 ) }.
% 97.17/97.58 parent0[1]: (6) {G0,W12,D4,L2,V0,M2} I { alpha3( skol3, skol4, skol5 ), !
% 97.17/97.58 set_difference( unordered_pair( skol3, skol4 ), skol5 ) ==> singleton(
% 97.17/97.58 skol3 ) }.
% 97.17/97.58 substitution0:
% 139.43/139.85 end
% 139.43/139.85
% 139.43/139.85 resolution: (40714) {G1,W11,D2,L3,V0,M3} { alpha3( skol3, skol4, skol5 ),
% 139.43/139.85 in( skol3, skol5 ), ! alpha2( skol3, skol4, skol5 ) }.
% 139.43/139.85 parent0[0]: (40713) {G0,W12,D4,L2,V0,M2} { ! singleton( skol3 ) ==>
% 139.43/139.85 set_difference( unordered_pair( skol3, skol4 ), skol5 ), alpha3( skol3,
% 139.43/139.85 skol4, skol5 ) }.
% 139.43/139.85 parent1[0]: (40712) {G0,W15,D4,L3,V3,M3} { singleton( X ) ==>
% 139.43/139.85 set_difference( unordered_pair( X, Y ), Z ), in( X, Z ), ! alpha2( X, Y,
% 139.43/139.85 Z ) }.
% 139.43/139.85 substitution0:
% 139.43/139.85 end
% 139.43/139.85 substitution1:
% 139.43/139.85 X := skol3
% 139.43/139.85 Y := skol4
% 139.43/139.85 Z := skol5
% 139.43/139.85 end
% 139.43/139.85
% 139.43/139.85 resolution: (40715) {G1,W12,D2,L3,V0,M3} { alpha3( skol3, skol4, skol5 ),
% 139.43/139.85 alpha3( skol3, skol4, skol5 ), ! alpha2( skol3, skol4, skol5 ) }.
% 139.43/139.85 parent0[1]: (4) {G0,W7,D2,L2,V0,M2} I { alpha3( skol3, skol4, skol5 ), ! in
% 139.43/139.85 ( skol3, skol5 ) }.
% 139.43/139.85 parent1[1]: (40714) {G1,W11,D2,L3,V0,M3} { alpha3( skol3, skol4, skol5 ),
% 139.43/139.85 in( skol3, skol5 ), ! alpha2( skol3, skol4, skol5 ) }.
% 139.43/139.85 substitution0:
% 139.43/139.85 end
% 139.43/139.85 substitution1:
% 139.43/139.85 end
% 139.43/139.85
% 139.43/139.85 factor: (40716) {G1,W8,D2,L2,V0,M2} { alpha3( skol3, skol4, skol5 ), !
% 139.43/139.85 alpha2( skol3, skol4, skol5 ) }.
% 139.43/139.85 parent0[0, 1]: (40715) {G1,W12,D2,L3,V0,M3} { alpha3( skol3, skol4, skol5
% 139.43/139.85 ), alpha3( skol3, skol4, skol5 ), ! alpha2( skol3, skol4, skol5 ) }.
% 139.43/139.85 substitution0:
% 139.43/139.85 end
% 139.43/139.85
% 139.43/139.85 subsumption: (339) {G1,W8,D2,L2,V0,M2} R(16,6);r(4) { ! alpha2( skol3,
% 139.43/139.85 skol4, skol5 ), alpha3( skol3, skol4, skol5 ) }.
% 139.43/139.85 parent0: (40716) {G1,W8,D2,L2,V0,M2} { alpha3( skol3, skol4, skol5 ), !
% 139.43/139.85 alpha2( skol3, skol4, skol5 ) }.
% 139.43/139.85 substitution0:
% 139.43/139.85 end
% 139.43/139.85 permutation0:
% 139.43/139.85 0 ==> 1
% 139.43/139.85 1 ==> 0
% 139.43/139.85 end
% 139.43/139.85
% 139.43/139.85 eqswap: (40717) {G0,W7,D2,L2,V3,M2} { ! Y = X, alpha1( X, Y, Z ) }.
% 139.43/139.85 parent0[0]: (13) {G0,W7,D2,L2,V3,M2} I { ! X = Y, alpha1( X, Y, Z ) }.
% 139.43/139.85 substitution0:
% 139.43/139.85 X := X
% 139.43/139.85 Y := Y
% 139.43/139.85 Z := Z
% 139.43/139.85 end
% 139.43/139.85
% 139.43/139.85 resolution: (40718) {G1,W6,D2,L2,V1,M2} { ! in( X, skol5 ), ! X = skol3
% 139.43/139.85 }.
% 139.43/139.85 parent0[1]: (242) {G3,W7,D2,L2,V1,M2} P(170,69) { ! in( X, skol5 ), !
% 139.43/139.85 alpha1( skol3, X, X ) }.
% 139.43/139.85 parent1[1]: (40717) {G0,W7,D2,L2,V3,M2} { ! Y = X, alpha1( X, Y, Z ) }.
% 139.43/139.85 substitution0:
% 139.43/139.85 X := X
% 139.43/139.85 end
% 139.43/139.85 substitution1:
% 139.43/139.85 X := skol3
% 139.43/139.85 Y := X
% 139.43/139.85 Z := X
% 139.43/139.85 end
% 139.43/139.85
% 139.43/139.85 eqswap: (40719) {G1,W6,D2,L2,V1,M2} { ! skol3 = X, ! in( X, skol5 ) }.
% 139.43/139.85 parent0[1]: (40718) {G1,W6,D2,L2,V1,M2} { ! in( X, skol5 ), ! X = skol3
% 139.43/139.85 }.
% 139.43/139.85 substitution0:
% 139.43/139.85 X := X
% 139.43/139.85 end
% 139.43/139.85
% 139.43/139.85 subsumption: (374) {G4,W6,D2,L2,V1,M2} R(242,13) { ! in( X, skol5 ), !
% 139.43/139.85 skol3 = X }.
% 139.43/139.85 parent0: (40719) {G1,W6,D2,L2,V1,M2} { ! skol3 = X, ! in( X, skol5 ) }.
% 139.43/139.85 substitution0:
% 139.43/139.85 X := X
% 139.43/139.85 end
% 139.43/139.85 permutation0:
% 139.43/139.85 0 ==> 1
% 139.43/139.85 1 ==> 0
% 139.43/139.85 end
% 139.43/139.85
% 139.43/139.85 eqswap: (40721) {G1,W12,D4,L2,V0,M2} { ! singleton( skol3 ) ==>
% 139.43/139.85 set_difference( unordered_pair( skol4, skol3 ), skol5 ), alpha3( skol3,
% 139.43/139.85 skol4, skol5 ) }.
% 139.43/139.85 parent0[1]: (25) {G1,W12,D4,L2,V0,M2} P(0,6) { alpha3( skol3, skol4, skol5
% 139.43/139.85 ), ! set_difference( unordered_pair( skol4, skol3 ), skol5 ) ==>
% 139.43/139.85 singleton( skol3 ) }.
% 139.43/139.85 substitution0:
% 139.43/139.85 end
% 139.43/139.85
% 139.43/139.85 paramod: (40724) {G1,W16,D3,L4,V0,M4} { ! singleton( skol3 ) ==> singleton
% 139.43/139.85 ( skol4 ), in( skol4, skol5 ), ! alpha2( skol4, skol3, skol5 ), alpha3(
% 139.43/139.85 skol3, skol4, skol5 ) }.
% 139.43/139.85 parent0[2]: (16) {G0,W15,D4,L3,V3,M3} I { in( X, Z ), ! alpha2( X, Y, Z ),
% 139.43/139.85 set_difference( unordered_pair( X, Y ), Z ) ==> singleton( X ) }.
% 139.43/139.85 parent1[0; 4]: (40721) {G1,W12,D4,L2,V0,M2} { ! singleton( skol3 ) ==>
% 139.43/139.85 set_difference( unordered_pair( skol4, skol3 ), skol5 ), alpha3( skol3,
% 139.43/139.85 skol4, skol5 ) }.
% 139.43/139.85 substitution0:
% 139.43/139.85 X := skol4
% 139.43/139.85 Y := skol3
% 139.43/139.85 Z := skol5
% 139.43/139.85 end
% 139.43/139.85 substitution1:
% 139.43/139.85 end
% 139.43/139.85
% 139.43/139.85 paramod: (40727) {G2,W23,D3,L6,V0,M6} { ! alpha2( skol3, skol3, skol5 ),
% 139.43/139.85 in( skol4, skol5 ), alpha3( skol3, skol4, skol5 ), ! singleton( skol3 )
% 139.43/139.85 ==> singleton( skol4 ), in( skol4, skol5 ), alpha3( skol3, skol4, skol5 )
% 139.43/139.85 }.
% 139.43/139.85 parent0[1]: (164) {G1,W10,D2,L3,V0,M3} R(11,5) { in( skol4, skol5 ), skol4
% 139.43/139.85 ==> skol3, alpha3( skol3, skol4, skol5 ) }.
% 139.43/139.85 parent1[2; 2]: (40724) {G1,W16,D3,L4,V0,M4} { ! singleton( skol3 ) ==>
% 139.43/139.85 singleton( skol4 ), in( skol4, skol5 ), ! alpha2( skol4, skol3, skol5 ),
% 139.43/139.85 alpha3( skol3, skol4, skol5 ) }.
% 139.43/139.85 substitution0:
% 139.43/139.85 end
% 139.43/139.85 substitution1:
% 139.43/139.85 end
% 139.43/139.85
% 139.43/139.85 factor: (40756) {G2,W20,D3,L5,V0,M5} { ! alpha2( skol3, skol3, skol5 ), in
% 139.43/139.85 ( skol4, skol5 ), alpha3( skol3, skol4, skol5 ), ! singleton( skol3 ) ==>
% 139.43/139.85 singleton( skol4 ), alpha3( skol3, skol4, skol5 ) }.
% 139.43/139.85 parent0[1, 4]: (40727) {G2,W23,D3,L6,V0,M6} { ! alpha2( skol3, skol3,
% 139.43/139.85 skol5 ), in( skol4, skol5 ), alpha3( skol3, skol4, skol5 ), ! singleton(
% 139.43/139.85 skol3 ) ==> singleton( skol4 ), in( skol4, skol5 ), alpha3( skol3, skol4
% 139.43/139.85 , skol5 ) }.
% 139.43/139.85 substitution0:
% 139.43/139.85 end
% 139.43/139.85
% 139.43/139.85 paramod: (1390325) {G2,W27,D3,L7,V0,M7} { ! singleton( skol3 ) ==>
% 139.43/139.85 singleton( skol3 ), in( skol4, skol5 ), alpha3( skol3, skol4, skol5 ), !
% 139.43/139.85 alpha2( skol3, skol3, skol5 ), in( skol4, skol5 ), alpha3( skol3, skol4,
% 139.43/139.85 skol5 ), alpha3( skol3, skol4, skol5 ) }.
% 139.43/139.85 parent0[1]: (164) {G1,W10,D2,L3,V0,M3} R(11,5) { in( skol4, skol5 ), skol4
% 139.43/139.85 ==> skol3, alpha3( skol3, skol4, skol5 ) }.
% 139.43/139.85 parent1[3; 5]: (40756) {G2,W20,D3,L5,V0,M5} { ! alpha2( skol3, skol3,
% 139.43/139.85 skol5 ), in( skol4, skol5 ), alpha3( skol3, skol4, skol5 ), ! singleton(
% 139.43/139.85 skol3 ) ==> singleton( skol4 ), alpha3( skol3, skol4, skol5 ) }.
% 139.43/139.85 substitution0:
% 139.43/139.85 end
% 139.43/139.85 substitution1:
% 139.43/139.85 end
% 139.43/139.85
% 139.43/139.85 factor: (1390453) {G2,W24,D3,L6,V0,M6} { ! singleton( skol3 ) ==>
% 139.43/139.85 singleton( skol3 ), in( skol4, skol5 ), alpha3( skol3, skol4, skol5 ), !
% 139.43/139.85 alpha2( skol3, skol3, skol5 ), alpha3( skol3, skol4, skol5 ), alpha3(
% 139.43/139.85 skol3, skol4, skol5 ) }.
% 139.43/139.85 parent0[1, 4]: (1390325) {G2,W27,D3,L7,V0,M7} { ! singleton( skol3 ) ==>
% 139.43/139.85 singleton( skol3 ), in( skol4, skol5 ), alpha3( skol3, skol4, skol5 ), !
% 139.43/139.85 alpha2( skol3, skol3, skol5 ), in( skol4, skol5 ), alpha3( skol3, skol4,
% 139.43/139.85 skol5 ), alpha3( skol3, skol4, skol5 ) }.
% 139.43/139.85 substitution0:
% 139.43/139.85 end
% 139.43/139.85
% 139.43/139.85 eqrefl: (1390458) {G0,W19,D2,L5,V0,M5} { in( skol4, skol5 ), alpha3( skol3
% 139.43/139.85 , skol4, skol5 ), ! alpha2( skol3, skol3, skol5 ), alpha3( skol3, skol4,
% 139.43/139.85 skol5 ), alpha3( skol3, skol4, skol5 ) }.
% 139.43/139.85 parent0[0]: (1390453) {G2,W24,D3,L6,V0,M6} { ! singleton( skol3 ) ==>
% 139.43/139.85 singleton( skol3 ), in( skol4, skol5 ), alpha3( skol3, skol4, skol5 ), !
% 139.43/139.85 alpha2( skol3, skol3, skol5 ), alpha3( skol3, skol4, skol5 ), alpha3(
% 139.43/139.85 skol3, skol4, skol5 ) }.
% 139.43/139.85 substitution0:
% 139.43/139.85 end
% 139.43/139.85
% 139.43/139.85 factor: (1390459) {G0,W15,D2,L4,V0,M4} { in( skol4, skol5 ), alpha3( skol3
% 139.43/139.85 , skol4, skol5 ), ! alpha2( skol3, skol3, skol5 ), alpha3( skol3, skol4,
% 139.43/139.85 skol5 ) }.
% 139.43/139.85 parent0[1, 3]: (1390458) {G0,W19,D2,L5,V0,M5} { in( skol4, skol5 ), alpha3
% 139.43/139.85 ( skol3, skol4, skol5 ), ! alpha2( skol3, skol3, skol5 ), alpha3( skol3,
% 139.43/139.85 skol4, skol5 ), alpha3( skol3, skol4, skol5 ) }.
% 139.43/139.85 substitution0:
% 139.43/139.85 end
% 139.43/139.85
% 139.43/139.85 factor: (1390460) {G0,W11,D2,L3,V0,M3} { in( skol4, skol5 ), alpha3( skol3
% 139.43/139.85 , skol4, skol5 ), ! alpha2( skol3, skol3, skol5 ) }.
% 139.43/139.85 parent0[1, 3]: (1390459) {G0,W15,D2,L4,V0,M4} { in( skol4, skol5 ), alpha3
% 139.43/139.85 ( skol3, skol4, skol5 ), ! alpha2( skol3, skol3, skol5 ), alpha3( skol3,
% 139.43/139.85 skol4, skol5 ) }.
% 139.43/139.85 substitution0:
% 139.43/139.85 end
% 139.43/139.85
% 139.43/139.85 resolution: (1390461) {G1,W7,D2,L2,V0,M2} { in( skol4, skol5 ), alpha3(
% 139.43/139.85 skol3, skol4, skol5 ) }.
% 139.43/139.85 parent0[2]: (1390460) {G0,W11,D2,L3,V0,M3} { in( skol4, skol5 ), alpha3(
% 139.43/139.85 skol3, skol4, skol5 ), ! alpha2( skol3, skol3, skol5 ) }.
% 139.43/139.85 parent1[0]: (22) {G1,W4,D2,L1,V2,M1} Q(19) { alpha2( X, X, Y ) }.
% 139.43/139.85 substitution0:
% 139.43/139.85 end
% 139.43/139.85 substitution1:
% 139.43/139.85 X := skol3
% 139.43/139.85 Y := skol5
% 139.43/139.85 end
% 139.43/139.85
% 139.43/139.85 subsumption: (404) {G2,W7,D2,L2,V0,M2} P(16,25);d(164);d(164);q;r(22) {
% 139.43/139.85 alpha3( skol3, skol4, skol5 ), in( skol4, skol5 ) }.
% 139.43/139.85 parent0: (1390461) {G1,W7,D2,L2,V0,M2} { in( skol4, skol5 ), alpha3( skol3
% 139.43/139.85 , skol4, skol5 ) }.
% 139.43/139.85 substitution0:
% 139.43/139.85 end
% 139.43/139.85 permutation0:
% 139.43/139.85 0 ==> 1
% 139.43/139.85 1 ==> 0
% 139.43/139.85 end
% 139.43/139.85
% 139.43/139.85 eqswap: (1390462) {G1,W11,D2,L3,V4,M3} { Y = X, ! alpha2( X, Y, Z ),
% 139.43/139.85 alpha1( T, Y, Z ) }.
% 139.43/139.85 parent0[1]: (26) {G1,W11,D2,L3,V4,M3} R(17,12) { ! alpha2( X, Y, Z ), X = Y
% 139.43/139.85 , alpha1( T, Y, Z ) }.
% 139.43/139.85 substitution0:
% 139.43/139.85 X := X
% 139.43/139.85 Y := Y
% 139.43/139.85 Z := Z
% 139.43/139.85 T := T
% 139.43/139.85 end
% 139.43/139.85
% 139.43/139.85 eqswap: (1390463) {G0,W7,D2,L2,V3,M2} { ! Y = X, alpha1( X, Y, Z ) }.
% 139.43/139.85 parent0[0]: (13) {G0,W7,D2,L2,V3,M2} I { ! X = Y, alpha1( X, Y, Z ) }.
% 139.43/139.85 substitution0:
% 139.43/139.85 X := X
% 139.43/139.85 Y := Y
% 139.43/139.85 Z := Z
% 139.43/139.85 end
% 139.43/139.85
% 139.43/139.85 resolution: (1390464) {G1,W12,D2,L3,V5,M3} { alpha1( Y, X, Z ), ! alpha2(
% 139.43/139.85 Y, X, T ), alpha1( U, X, T ) }.
% 139.43/139.85 parent0[0]: (1390463) {G0,W7,D2,L2,V3,M2} { ! Y = X, alpha1( X, Y, Z ) }.
% 139.43/139.85 parent1[0]: (1390462) {G1,W11,D2,L3,V4,M3} { Y = X, ! alpha2( X, Y, Z ),
% 139.43/139.85 alpha1( T, Y, Z ) }.
% 139.43/139.85 substitution0:
% 139.43/139.85 X := Y
% 139.43/139.85 Y := X
% 300.07/300.47 Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------