TSTP Solution File: SYN551+3 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN551+3 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Thu Jul 21 02:52:54 EDT 2022
% Result : Theorem 0.82s 1.18s
% Output : Refutation 0.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN551+3 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.03/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Tue Jul 12 07:28:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.82/1.18 *** allocated 10000 integers for termspace/termends
% 0.82/1.18 *** allocated 10000 integers for clauses
% 0.82/1.18 *** allocated 10000 integers for justifications
% 0.82/1.18 Bliksem 1.12
% 0.82/1.18
% 0.82/1.18
% 0.82/1.18 Automatic Strategy Selection
% 0.82/1.18
% 0.82/1.18
% 0.82/1.18 Clauses:
% 0.82/1.18
% 0.82/1.18 { alpha4, skol1 = g( f( skol1 ) ) }.
% 0.82/1.18 { alpha4, alpha2( skol1 ) }.
% 0.82/1.18 { alpha4, ! alpha1 }.
% 0.82/1.18 { ! alpha4, alpha1 }.
% 0.82/1.18 { ! alpha4, ! X = g( f( X ) ), ! alpha2( X ) }.
% 0.82/1.18 { ! alpha1, skol2 = g( f( skol2 ) ), alpha4 }.
% 0.82/1.18 { ! alpha1, alpha2( skol2 ), alpha4 }.
% 0.82/1.18 { ! alpha2( X ), ! Y = g( f( Y ) ), Y = X }.
% 0.82/1.18 { skol3( Y ) = g( f( skol3( Y ) ) ), alpha2( X ) }.
% 0.82/1.18 { ! skol3( X ) = X, alpha2( X ) }.
% 0.82/1.18 { ! alpha1, skol4 = f( g( skol4 ) ) }.
% 0.82/1.18 { ! alpha1, alpha3( skol4 ) }.
% 0.82/1.18 { ! X = f( g( X ) ), ! alpha3( X ), alpha1 }.
% 0.82/1.18 { ! alpha3( X ), ! Y = f( g( Y ) ), Y = X }.
% 0.82/1.18 { skol5( Y ) = f( g( skol5( Y ) ) ), alpha3( X ) }.
% 0.82/1.18 { ! skol5( X ) = X, alpha3( X ) }.
% 0.82/1.18
% 0.82/1.18 percentage equality = 0.375000, percentage horn = 0.714286
% 0.82/1.18 This is a problem with some equality
% 0.82/1.18
% 0.82/1.18
% 0.82/1.18
% 0.82/1.18 Options Used:
% 0.82/1.18
% 0.82/1.18 useres = 1
% 0.82/1.18 useparamod = 1
% 0.82/1.18 useeqrefl = 1
% 0.82/1.18 useeqfact = 1
% 0.82/1.18 usefactor = 1
% 0.82/1.18 usesimpsplitting = 0
% 0.82/1.18 usesimpdemod = 5
% 0.82/1.18 usesimpres = 3
% 0.82/1.18
% 0.82/1.18 resimpinuse = 1000
% 0.82/1.18 resimpclauses = 20000
% 0.82/1.18 substype = eqrewr
% 0.82/1.18 backwardsubs = 1
% 0.82/1.18 selectoldest = 5
% 0.82/1.18
% 0.82/1.18 litorderings [0] = split
% 0.82/1.18 litorderings [1] = extend the termordering, first sorting on arguments
% 0.82/1.18
% 0.82/1.18 termordering = kbo
% 0.82/1.18
% 0.82/1.18 litapriori = 0
% 0.82/1.18 termapriori = 1
% 0.82/1.18 litaposteriori = 0
% 0.82/1.18 termaposteriori = 0
% 0.82/1.18 demodaposteriori = 0
% 0.82/1.18 ordereqreflfact = 0
% 0.82/1.18
% 0.82/1.18 litselect = negord
% 0.82/1.18
% 0.82/1.18 maxweight = 15
% 0.82/1.18 maxdepth = 30000
% 0.82/1.18 maxlength = 115
% 0.82/1.18 maxnrvars = 195
% 0.82/1.18 excuselevel = 1
% 0.82/1.18 increasemaxweight = 1
% 0.82/1.18
% 0.82/1.18 maxselected = 10000000
% 0.82/1.18 maxnrclauses = 10000000
% 0.82/1.18
% 0.82/1.18 showgenerated = 0
% 0.82/1.18 showkept = 0
% 0.82/1.18 showselected = 0
% 0.82/1.18 showdeleted = 0
% 0.82/1.18 showresimp = 1
% 0.82/1.18 showstatus = 2000
% 0.82/1.18
% 0.82/1.18 prologoutput = 0
% 0.82/1.18 nrgoals = 5000000
% 0.82/1.18 totalproof = 1
% 0.82/1.18
% 0.82/1.18 Symbols occurring in the translation:
% 0.82/1.18
% 0.82/1.18 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.82/1.18 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 0.82/1.18 ! [4, 1] (w:0, o:13, a:1, s:1, b:0),
% 0.82/1.18 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.82/1.18 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.82/1.18 g [36, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.82/1.18 f [37, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.82/1.18 alpha1 [39, 0] (w:1, o:8, a:1, s:1, b:1),
% 0.82/1.18 alpha2 [40, 1] (w:1, o:20, a:1, s:1, b:1),
% 0.82/1.18 alpha3 [41, 1] (w:1, o:21, a:1, s:1, b:1),
% 0.82/1.18 alpha4 [42, 0] (w:1, o:9, a:1, s:1, b:1),
% 0.82/1.18 skol1 [43, 0] (w:1, o:10, a:1, s:1, b:1),
% 0.82/1.18 skol2 [44, 0] (w:1, o:11, a:1, s:1, b:1),
% 0.82/1.18 skol3 [45, 1] (w:1, o:22, a:1, s:1, b:1),
% 0.82/1.18 skol4 [46, 0] (w:1, o:12, a:1, s:1, b:1),
% 0.82/1.18 skol5 [47, 1] (w:1, o:23, a:1, s:1, b:1).
% 0.82/1.18
% 0.82/1.18
% 0.82/1.18 Starting Search:
% 0.82/1.18
% 0.82/1.18 *** allocated 15000 integers for clauses
% 0.82/1.18 *** allocated 22500 integers for clauses
% 0.82/1.18 *** allocated 33750 integers for clauses
% 0.82/1.18 *** allocated 15000 integers for termspace/termends
% 0.82/1.18 *** allocated 50625 integers for clauses
% 0.82/1.18 Resimplifying inuse:
% 0.82/1.18 Done
% 0.82/1.18
% 0.82/1.18
% 0.82/1.18 Bliksems!, er is een bewijs:
% 0.82/1.18 % SZS status Theorem
% 0.82/1.18 % SZS output start Refutation
% 0.82/1.18
% 0.82/1.18 (0) {G0,W6,D4,L2,V0,M2} I { alpha4, g( f( skol1 ) ) ==> skol1 }.
% 0.82/1.18 (1) {G0,W3,D2,L2,V0,M2} I { alpha4, alpha2( skol1 ) }.
% 0.82/1.18 (2) {G0,W2,D1,L2,V0,M2} I { alpha4, ! alpha1 }.
% 0.82/1.18 (3) {G0,W2,D1,L2,V0,M2} I { ! alpha4, alpha1 }.
% 0.82/1.18 (4) {G0,W8,D4,L3,V1,M3} I { ! alpha4, ! g( f( X ) ) ==> X, ! alpha2( X )
% 0.82/1.18 }.
% 0.82/1.18 (5) {G0,W10,D4,L3,V2,M3} I { ! alpha2( X ), ! g( f( Y ) ) ==> Y, Y = X }.
% 0.82/1.18 (6) {G0,W9,D5,L2,V2,M2} I { g( f( skol3( Y ) ) ) ==> skol3( Y ), alpha2( X
% 0.82/1.18 ) }.
% 0.82/1.18 (7) {G0,W6,D3,L2,V1,M2} I { ! skol3( X ) ==> X, alpha2( X ) }.
% 0.82/1.18 (8) {G0,W6,D4,L2,V0,M2} I { ! alpha1, f( g( skol4 ) ) ==> skol4 }.
% 0.82/1.18 (9) {G0,W3,D2,L2,V0,M2} I { ! alpha1, alpha3( skol4 ) }.
% 0.82/1.18 (10) {G0,W8,D4,L3,V1,M3} I { ! f( g( X ) ) ==> X, ! alpha3( X ), alpha1 }.
% 0.82/1.18 (11) {G0,W10,D4,L3,V2,M3} I { ! alpha3( X ), ! f( g( Y ) ) ==> Y, Y = X }.
% 0.82/1.18 (12) {G0,W9,D5,L2,V2,M2} I { f( g( skol5( Y ) ) ) ==> skol5( Y ), alpha3( X
% 0.82/1.18 ) }.
% 0.82/1.18 (13) {G0,W6,D3,L2,V1,M2} I { ! skol5( X ) ==> X, alpha3( X ) }.
% 0.82/1.18 (14) {G1,W3,D2,L2,V0,M2} R(9,3) { alpha3( skol4 ), ! alpha4 }.
% 0.82/1.18 (18) {G1,W6,D4,L2,V0,M2} R(0,3) { g( f( skol1 ) ) ==> skol1, alpha1 }.
% 0.82/1.18 (25) {G1,W6,D4,L2,V0,M2} R(8,3) { f( g( skol4 ) ) ==> skol4, ! alpha4 }.
% 0.82/1.18 (26) {G1,W4,D3,L2,V0,M2} P(8,4);q;r(2) { ! alpha2( g( skol4 ) ), ! alpha1
% 0.82/1.18 }.
% 0.82/1.18 (30) {G2,W4,D3,L2,V0,M2} R(26,3) { ! alpha2( g( skol4 ) ), ! alpha4 }.
% 0.82/1.18 (31) {G3,W7,D4,L2,V0,M2} R(30,7) { ! alpha4, ! skol3( g( skol4 ) ) ==> g(
% 0.82/1.18 skol4 ) }.
% 0.82/1.18 (36) {G1,W6,D2,L3,V1,M3} R(5,0) { ! alpha2( X ), skol1 = X, alpha4 }.
% 0.82/1.18 (37) {G1,W9,D4,L3,V1,M3} R(5,1) { ! g( f( X ) ) ==> X, X = skol1, alpha4
% 0.82/1.18 }.
% 0.82/1.18 (95) {G2,W9,D3,L4,V1,M4} P(36,13) { ! skol1 = X, alpha3( X ), ! alpha2(
% 0.82/1.18 skol5( X ) ), alpha4 }.
% 0.82/1.18 (97) {G3,W6,D3,L3,V0,M3} Q(95) { alpha3( skol1 ), ! alpha2( skol5( skol1 )
% 0.82/1.18 ), alpha4 }.
% 0.82/1.18 (113) {G3,W8,D5,L2,V1,M2} R(6,30) { g( f( skol3( X ) ) ) ==> skol3( X ), !
% 0.82/1.18 alpha4 }.
% 0.82/1.18 (184) {G1,W6,D2,L3,V1,M3} R(11,8) { ! alpha3( X ), skol4 = X, ! alpha1 }.
% 0.82/1.18 (193) {G1,W17,D6,L5,V2,M5} P(11,10) { ! Y = X, ! alpha3( X ), alpha1, !
% 0.82/1.18 alpha3( Y ), ! f( g( f( g( X ) ) ) ) ==> f( g( X ) ) }.
% 0.82/1.18 (224) {G2,W7,D3,L3,V1,M3} P(11,18);d(18);q { g( X ) ==> skol1, alpha1, !
% 0.82/1.18 alpha3( X ) }.
% 0.82/1.18 (255) {G3,W3,D2,L2,V1,M2} F(193);q;d(224);d(18);q { ! alpha3( X ), alpha1
% 0.82/1.18 }.
% 0.82/1.18 (259) {G4,W4,D3,L2,V0,M2} R(255,97);r(2) { ! alpha2( skol5( skol1 ) ),
% 0.82/1.18 alpha4 }.
% 0.82/1.18 (263) {G4,W4,D2,L2,V1,M2} R(255,9) { ! alpha3( X ), alpha3( skol4 ) }.
% 0.82/1.18 (264) {G4,W3,D2,L2,V1,M2} R(255,2) { ! alpha3( X ), alpha4 }.
% 0.82/1.18 (268) {G5,W6,D3,L2,V1,M2} R(263,13) { alpha3( skol4 ), ! skol5( X ) ==> X
% 0.82/1.18 }.
% 0.82/1.18 (277) {G5,W8,D5,L2,V1,M2} R(12,264) { f( g( skol5( X ) ) ) ==> skol5( X ),
% 0.82/1.18 alpha4 }.
% 0.82/1.18 (331) {G4,W7,D2,L3,V2,M3} R(184,255) { ! alpha3( X ), skol4 = X, ! alpha3(
% 0.82/1.18 Y ) }.
% 0.82/1.18 (357) {G5,W5,D2,L2,V1,M2} F(331) { ! alpha3( X ), skol4 = X }.
% 0.82/1.18 (376) {G6,W8,D3,L3,V1,M3} P(357,7) { ! skol4 = X, alpha2( X ), ! alpha3(
% 0.82/1.18 skol3( X ) ) }.
% 0.82/1.18 (378) {G7,W5,D3,L2,V0,M2} Q(376) { alpha2( skol4 ), ! alpha3( skol3( skol4
% 0.82/1.18 ) ) }.
% 0.82/1.18 (683) {G4,W7,D3,L3,V1,M3} P(5,31);d(113);q { ! alpha4, ! X = g( skol4 ), !
% 0.82/1.18 alpha2( X ) }.
% 0.82/1.18 (697) {G5,W8,D2,L4,V2,M4} P(5,683);d(25);q { ! alpha4, ! Y = X, ! alpha2( Y
% 0.82/1.18 ), ! alpha2( X ) }.
% 0.82/1.18 (704) {G6,W3,D2,L2,V1,M2} F(697);q { ! alpha4, ! alpha2( X ) }.
% 0.82/1.18 (709) {G7,W5,D3,L2,V1,M2} R(704,259) { ! alpha2( X ), ! alpha2( skol5(
% 0.82/1.18 skol1 ) ) }.
% 0.82/1.18 (710) {G7,W4,D2,L2,V2,M2} R(704,264) { ! alpha2( X ), ! alpha3( Y ) }.
% 0.82/1.18 (712) {G7,W5,D3,L2,V1,M2} R(704,7) { ! alpha4, ! skol3( X ) ==> X }.
% 0.82/1.18 (717) {G8,W3,D3,L1,V0,M1} F(709) { ! alpha2( skol5( skol1 ) ) }.
% 0.82/1.18 (766) {G9,W7,D5,L1,V1,M1} R(717,6) { g( f( skol3( X ) ) ) ==> skol3( X )
% 0.82/1.18 }.
% 0.82/1.18 (768) {G8,W5,D3,L2,V1,M2} R(710,378) { ! alpha3( X ), ! alpha3( skol3(
% 0.82/1.18 skol4 ) ) }.
% 0.82/1.18 (770) {G9,W3,D3,L1,V0,M1} F(768) { ! alpha3( skol3( skol4 ) ) }.
% 0.82/1.18 (771) {G10,W7,D5,L1,V1,M1} R(770,12) { f( g( skol5( X ) ) ) ==> skol5( X )
% 0.82/1.18 }.
% 0.82/1.18 (864) {G5,W6,D4,L2,V1,M2} P(12,37);q;r(264) { g( skol5( X ) ) ==> skol1,
% 0.82/1.18 alpha4 }.
% 0.82/1.18 (865) {G6,W6,D3,L2,V1,M2} P(37,12);d(277);d(864);q;r(264) { f( skol1 ) =
% 0.82/1.18 skol5( X ), alpha4 }.
% 0.82/1.18 (963) {G7,W5,D3,L2,V1,M2} P(865,268);r(264) { ! f( skol1 ) = X, alpha4 }.
% 0.82/1.18 (968) {G8,W1,D1,L1,V0,M1} Q(963) { alpha4 }.
% 0.82/1.18 (970) {G9,W4,D3,L1,V1,M1} R(968,712) { ! skol3( X ) ==> X }.
% 0.82/1.18 (973) {G9,W2,D2,L1,V0,M1} R(968,14) { alpha3( skol4 ) }.
% 0.82/1.18 (993) {G11,W6,D3,L2,V2,M2} R(771,11) { ! alpha3( X ), skol5( Y ) = X }.
% 0.82/1.18 (998) {G12,W4,D3,L1,V1,M1} R(993,973) { skol5( X ) ==> skol4 }.
% 0.82/1.18 (1004) {G13,W5,D2,L2,V1,M2} P(993,13);d(998);d(998);r(973) { alpha3( X ), !
% 0.82/1.18 skol4 = X }.
% 0.82/1.18 (1012) {G14,W10,D4,L3,V2,M3} P(11,1004);r(973) { alpha3( Y ), ! X = Y, ! f
% 0.82/1.18 ( g( X ) ) ==> X }.
% 0.82/1.18 (1013) {G15,W7,D4,L2,V1,M2} Q(1012) { alpha3( X ), ! f( g( X ) ) ==> X }.
% 0.82/1.18 (1059) {G16,W4,D4,L1,V1,M1} P(766,1013);q { alpha3( f( skol3( X ) ) ) }.
% 0.82/1.18 (1064) {G17,W5,D3,L1,V1,M1} P(357,766);r(1059) { g( skol4 ) = skol3( X )
% 0.82/1.18 }.
% 0.82/1.18 (1082) {G18,W4,D3,L1,V1,M1} P(1064,970) { ! g( skol4 ) = X }.
% 0.82/1.18 (1087) {G19,W0,D0,L0,V0,M0} Q(1082) { }.
% 0.82/1.18
% 0.82/1.18
% 0.82/1.18 % SZS output end Refutation
% 0.82/1.18 found a proof!
% 0.82/1.18
% 0.82/1.18
% 0.82/1.18 Unprocessed initial clauses:
% 0.82/1.18
% 0.82/1.18 (1089) {G0,W6,D4,L2,V0,M2} { alpha4, skol1 = g( f( skol1 ) ) }.
% 0.82/1.18 (1090) {G0,W3,D2,L2,V0,M2} { alpha4, alpha2( skol1 ) }.
% 0.82/1.18 (1091) {G0,W2,D1,L2,V0,M2} { alpha4, ! alpha1 }.
% 0.82/1.18 (1092) {G0,W2,D1,L2,V0,M2} { ! alpha4, alpha1 }.
% 0.82/1.18 (1093) {G0,W8,D4,L3,V1,M3} { ! alpha4, ! X = g( f( X ) ), ! alpha2( X )
% 0.82/1.18 }.
% 0.82/1.18 (1094) {G0,W7,D4,L3,V0,M3} { ! alpha1, skol2 = g( f( skol2 ) ), alpha4 }.
% 0.82/1.18 (1095) {G0,W4,D2,L3,V0,M3} { ! alpha1, alpha2( skol2 ), alpha4 }.
% 0.82/1.18 (1096) {G0,W10,D4,L3,V2,M3} { ! alpha2( X ), ! Y = g( f( Y ) ), Y = X }.
% 0.82/1.18 (1097) {G0,W9,D5,L2,V2,M2} { skol3( Y ) = g( f( skol3( Y ) ) ), alpha2( X
% 0.82/1.18 ) }.
% 0.82/1.18 (1098) {G0,W6,D3,L2,V1,M2} { ! skol3( X ) = X, alpha2( X ) }.
% 0.82/1.18 (1099) {G0,W6,D4,L2,V0,M2} { ! alpha1, skol4 = f( g( skol4 ) ) }.
% 0.82/1.18 (1100) {G0,W3,D2,L2,V0,M2} { ! alpha1, alpha3( skol4 ) }.
% 0.82/1.18 (1101) {G0,W8,D4,L3,V1,M3} { ! X = f( g( X ) ), ! alpha3( X ), alpha1 }.
% 0.82/1.18 (1102) {G0,W10,D4,L3,V2,M3} { ! alpha3( X ), ! Y = f( g( Y ) ), Y = X }.
% 0.82/1.18 (1103) {G0,W9,D5,L2,V2,M2} { skol5( Y ) = f( g( skol5( Y ) ) ), alpha3( X
% 0.82/1.18 ) }.
% 0.82/1.18 (1104) {G0,W6,D3,L2,V1,M2} { ! skol5( X ) = X, alpha3( X ) }.
% 0.82/1.18
% 0.82/1.18
% 0.82/1.18 Total Proof:
% 0.82/1.18
% 0.82/1.18 eqswap: (1105) {G0,W6,D4,L2,V0,M2} { g( f( skol1 ) ) = skol1, alpha4 }.
% 0.82/1.18 parent0[1]: (1089) {G0,W6,D4,L2,V0,M2} { alpha4, skol1 = g( f( skol1 ) )
% 0.82/1.18 }.
% 0.82/1.18 substitution0:
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 subsumption: (0) {G0,W6,D4,L2,V0,M2} I { alpha4, g( f( skol1 ) ) ==> skol1
% 0.82/1.18 }.
% 0.82/1.18 parent0: (1105) {G0,W6,D4,L2,V0,M2} { g( f( skol1 ) ) = skol1, alpha4 }.
% 0.82/1.18 substitution0:
% 0.82/1.18 end
% 0.82/1.18 permutation0:
% 0.82/1.18 0 ==> 1
% 0.82/1.18 1 ==> 0
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 subsumption: (1) {G0,W3,D2,L2,V0,M2} I { alpha4, alpha2( skol1 ) }.
% 0.82/1.18 parent0: (1090) {G0,W3,D2,L2,V0,M2} { alpha4, alpha2( skol1 ) }.
% 0.82/1.18 substitution0:
% 0.82/1.18 end
% 0.82/1.18 permutation0:
% 0.82/1.18 0 ==> 0
% 0.82/1.18 1 ==> 1
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 subsumption: (2) {G0,W2,D1,L2,V0,M2} I { alpha4, ! alpha1 }.
% 0.82/1.18 parent0: (1091) {G0,W2,D1,L2,V0,M2} { alpha4, ! alpha1 }.
% 0.82/1.18 substitution0:
% 0.82/1.18 end
% 0.82/1.18 permutation0:
% 0.82/1.18 0 ==> 0
% 0.82/1.18 1 ==> 1
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 subsumption: (3) {G0,W2,D1,L2,V0,M2} I { ! alpha4, alpha1 }.
% 0.82/1.18 parent0: (1092) {G0,W2,D1,L2,V0,M2} { ! alpha4, alpha1 }.
% 0.82/1.18 substitution0:
% 0.82/1.18 end
% 0.82/1.18 permutation0:
% 0.82/1.18 0 ==> 0
% 0.82/1.18 1 ==> 1
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 eqswap: (1110) {G0,W8,D4,L3,V1,M3} { ! g( f( X ) ) = X, ! alpha4, ! alpha2
% 0.82/1.18 ( X ) }.
% 0.82/1.18 parent0[1]: (1093) {G0,W8,D4,L3,V1,M3} { ! alpha4, ! X = g( f( X ) ), !
% 0.82/1.18 alpha2( X ) }.
% 0.82/1.18 substitution0:
% 0.82/1.18 X := X
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 subsumption: (4) {G0,W8,D4,L3,V1,M3} I { ! alpha4, ! g( f( X ) ) ==> X, !
% 0.82/1.18 alpha2( X ) }.
% 0.82/1.18 parent0: (1110) {G0,W8,D4,L3,V1,M3} { ! g( f( X ) ) = X, ! alpha4, !
% 0.82/1.18 alpha2( X ) }.
% 0.82/1.18 substitution0:
% 0.82/1.18 X := X
% 0.82/1.18 end
% 0.82/1.18 permutation0:
% 0.82/1.18 0 ==> 1
% 0.82/1.18 1 ==> 0
% 0.82/1.18 2 ==> 2
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 eqswap: (1114) {G0,W10,D4,L3,V2,M3} { ! g( f( X ) ) = X, ! alpha2( Y ), X
% 0.82/1.18 = Y }.
% 0.82/1.18 parent0[1]: (1096) {G0,W10,D4,L3,V2,M3} { ! alpha2( X ), ! Y = g( f( Y ) )
% 0.82/1.18 , Y = X }.
% 0.82/1.18 substitution0:
% 0.82/1.18 X := Y
% 0.82/1.18 Y := X
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 subsumption: (5) {G0,W10,D4,L3,V2,M3} I { ! alpha2( X ), ! g( f( Y ) ) ==>
% 0.82/1.18 Y, Y = X }.
% 0.82/1.18 parent0: (1114) {G0,W10,D4,L3,V2,M3} { ! g( f( X ) ) = X, ! alpha2( Y ), X
% 0.82/1.18 = Y }.
% 0.82/1.18 substitution0:
% 0.82/1.18 X := Y
% 0.82/1.18 Y := X
% 0.82/1.18 end
% 0.82/1.18 permutation0:
% 0.82/1.18 0 ==> 1
% 0.82/1.18 1 ==> 0
% 0.82/1.18 2 ==> 2
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 eqswap: (1123) {G0,W9,D5,L2,V2,M2} { g( f( skol3( X ) ) ) = skol3( X ),
% 0.82/1.18 alpha2( Y ) }.
% 0.82/1.18 parent0[0]: (1097) {G0,W9,D5,L2,V2,M2} { skol3( Y ) = g( f( skol3( Y ) ) )
% 0.82/1.18 , alpha2( X ) }.
% 0.82/1.18 substitution0:
% 0.82/1.18 X := Y
% 0.82/1.18 Y := X
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 subsumption: (6) {G0,W9,D5,L2,V2,M2} I { g( f( skol3( Y ) ) ) ==> skol3( Y
% 0.82/1.18 ), alpha2( X ) }.
% 0.82/1.18 parent0: (1123) {G0,W9,D5,L2,V2,M2} { g( f( skol3( X ) ) ) = skol3( X ),
% 0.82/1.18 alpha2( Y ) }.
% 0.82/1.18 substitution0:
% 0.82/1.18 X := Y
% 0.82/1.18 Y := X
% 0.82/1.18 end
% 0.82/1.18 permutation0:
% 0.82/1.18 0 ==> 0
% 0.82/1.18 1 ==> 1
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 subsumption: (7) {G0,W6,D3,L2,V1,M2} I { ! skol3( X ) ==> X, alpha2( X )
% 0.82/1.18 }.
% 0.82/1.18 parent0: (1098) {G0,W6,D3,L2,V1,M2} { ! skol3( X ) = X, alpha2( X ) }.
% 0.82/1.18 substitution0:
% 0.82/1.18 X := X
% 0.82/1.18 end
% 0.82/1.18 permutation0:
% 0.82/1.18 0 ==> 0
% 0.82/1.18 1 ==> 1
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 eqswap: (1140) {G0,W6,D4,L2,V0,M2} { f( g( skol4 ) ) = skol4, ! alpha1 }.
% 0.82/1.18 parent0[1]: (1099) {G0,W6,D4,L2,V0,M2} { ! alpha1, skol4 = f( g( skol4 ) )
% 0.82/1.18 }.
% 0.82/1.18 substitution0:
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 subsumption: (8) {G0,W6,D4,L2,V0,M2} I { ! alpha1, f( g( skol4 ) ) ==>
% 0.82/1.18 skol4 }.
% 0.82/1.18 parent0: (1140) {G0,W6,D4,L2,V0,M2} { f( g( skol4 ) ) = skol4, ! alpha1
% 0.82/1.18 }.
% 0.82/1.18 substitution0:
% 0.82/1.18 end
% 0.82/1.18 permutation0:
% 0.82/1.18 0 ==> 1
% 0.82/1.18 1 ==> 0
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 subsumption: (9) {G0,W3,D2,L2,V0,M2} I { ! alpha1, alpha3( skol4 ) }.
% 0.82/1.18 parent0: (1100) {G0,W3,D2,L2,V0,M2} { ! alpha1, alpha3( skol4 ) }.
% 0.82/1.18 substitution0:
% 0.82/1.18 end
% 0.82/1.18 permutation0:
% 0.82/1.18 0 ==> 0
% 0.82/1.18 1 ==> 1
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 eqswap: (1159) {G0,W8,D4,L3,V1,M3} { ! f( g( X ) ) = X, ! alpha3( X ),
% 0.82/1.18 alpha1 }.
% 0.82/1.18 parent0[0]: (1101) {G0,W8,D4,L3,V1,M3} { ! X = f( g( X ) ), ! alpha3( X )
% 0.82/1.18 , alpha1 }.
% 0.82/1.18 substitution0:
% 0.82/1.18 X := X
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 subsumption: (10) {G0,W8,D4,L3,V1,M3} I { ! f( g( X ) ) ==> X, ! alpha3( X
% 0.82/1.18 ), alpha1 }.
% 0.82/1.18 parent0: (1159) {G0,W8,D4,L3,V1,M3} { ! f( g( X ) ) = X, ! alpha3( X ),
% 0.82/1.18 alpha1 }.
% 0.82/1.18 substitution0:
% 0.82/1.18 X := X
% 0.82/1.18 end
% 0.82/1.18 permutation0:
% 0.82/1.18 0 ==> 0
% 0.82/1.18 1 ==> 1
% 0.82/1.18 2 ==> 2
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 eqswap: (1170) {G0,W10,D4,L3,V2,M3} { ! f( g( X ) ) = X, ! alpha3( Y ), X
% 0.82/1.18 = Y }.
% 0.82/1.18 parent0[1]: (1102) {G0,W10,D4,L3,V2,M3} { ! alpha3( X ), ! Y = f( g( Y ) )
% 0.82/1.18 , Y = X }.
% 0.82/1.18 substitution0:
% 0.82/1.18 X := Y
% 0.82/1.18 Y := X
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 subsumption: (11) {G0,W10,D4,L3,V2,M3} I { ! alpha3( X ), ! f( g( Y ) ) ==>
% 0.82/1.18 Y, Y = X }.
% 0.82/1.18 parent0: (1170) {G0,W10,D4,L3,V2,M3} { ! f( g( X ) ) = X, ! alpha3( Y ), X
% 0.82/1.18 = Y }.
% 0.82/1.18 substitution0:
% 0.82/1.18 X := Y
% 0.82/1.18 Y := X
% 0.82/1.18 end
% 0.82/1.18 permutation0:
% 0.82/1.18 0 ==> 1
% 0.82/1.18 1 ==> 0
% 0.82/1.18 2 ==> 2
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 eqswap: (1186) {G0,W9,D5,L2,V2,M2} { f( g( skol5( X ) ) ) = skol5( X ),
% 0.82/1.18 alpha3( Y ) }.
% 0.82/1.18 parent0[0]: (1103) {G0,W9,D5,L2,V2,M2} { skol5( Y ) = f( g( skol5( Y ) ) )
% 0.82/1.18 , alpha3( X ) }.
% 0.82/1.18 substitution0:
% 0.82/1.18 X := Y
% 0.82/1.18 Y := X
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 subsumption: (12) {G0,W9,D5,L2,V2,M2} I { f( g( skol5( Y ) ) ) ==> skol5( Y
% 0.82/1.18 ), alpha3( X ) }.
% 0.82/1.18 parent0: (1186) {G0,W9,D5,L2,V2,M2} { f( g( skol5( X ) ) ) = skol5( X ),
% 0.82/1.18 alpha3( Y ) }.
% 0.82/1.18 substitution0:
% 0.82/1.18 X := Y
% 0.82/1.18 Y := X
% 0.82/1.18 end
% 0.82/1.18 permutation0:
% 0.82/1.18 0 ==> 0
% 0.82/1.18 1 ==> 1
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 subsumption: (13) {G0,W6,D3,L2,V1,M2} I { ! skol5( X ) ==> X, alpha3( X )
% 0.82/1.18 }.
% 0.82/1.18 parent0: (1104) {G0,W6,D3,L2,V1,M2} { ! skol5( X ) = X, alpha3( X ) }.
% 0.82/1.18 substitution0:
% 0.82/1.18 X := X
% 0.82/1.18 end
% 0.82/1.18 permutation0:
% 0.82/1.18 0 ==> 0
% 0.82/1.18 1 ==> 1
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 resolution: (1202) {G1,W3,D2,L2,V0,M2} { alpha3( skol4 ), ! alpha4 }.
% 0.82/1.18 parent0[0]: (9) {G0,W3,D2,L2,V0,M2} I { ! alpha1, alpha3( skol4 ) }.
% 0.82/1.18 parent1[1]: (3) {G0,W2,D1,L2,V0,M2} I { ! alpha4, alpha1 }.
% 0.82/1.18 substitution0:
% 0.82/1.18 end
% 0.82/1.18 substitution1:
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 subsumption: (14) {G1,W3,D2,L2,V0,M2} R(9,3) { alpha3( skol4 ), ! alpha4
% 0.82/1.18 }.
% 0.82/1.18 parent0: (1202) {G1,W3,D2,L2,V0,M2} { alpha3( skol4 ), ! alpha4 }.
% 0.82/1.18 substitution0:
% 0.82/1.18 end
% 0.82/1.18 permutation0:
% 0.82/1.18 0 ==> 0
% 0.82/1.18 1 ==> 1
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 *** allocated 22500 integers for termspace/termends
% 0.82/1.18 eqswap: (1203) {G0,W6,D4,L2,V0,M2} { skol1 ==> g( f( skol1 ) ), alpha4 }.
% 0.82/1.18 parent0[1]: (0) {G0,W6,D4,L2,V0,M2} I { alpha4, g( f( skol1 ) ) ==> skol1
% 0.82/1.18 }.
% 0.82/1.18 substitution0:
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 resolution: (1204) {G1,W6,D4,L2,V0,M2} { alpha1, skol1 ==> g( f( skol1 ) )
% 0.82/1.18 }.
% 0.82/1.18 parent0[0]: (3) {G0,W2,D1,L2,V0,M2} I { ! alpha4, alpha1 }.
% 0.82/1.18 parent1[1]: (1203) {G0,W6,D4,L2,V0,M2} { skol1 ==> g( f( skol1 ) ), alpha4
% 0.82/1.18 }.
% 0.82/1.18 substitution0:
% 0.82/1.18 end
% 0.82/1.18 substitution1:
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 eqswap: (1205) {G1,W6,D4,L2,V0,M2} { g( f( skol1 ) ) ==> skol1, alpha1 }.
% 0.82/1.18 parent0[1]: (1204) {G1,W6,D4,L2,V0,M2} { alpha1, skol1 ==> g( f( skol1 ) )
% 0.82/1.18 }.
% 0.82/1.18 substitution0:
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 subsumption: (18) {G1,W6,D4,L2,V0,M2} R(0,3) { g( f( skol1 ) ) ==> skol1,
% 0.82/1.18 alpha1 }.
% 0.82/1.18 parent0: (1205) {G1,W6,D4,L2,V0,M2} { g( f( skol1 ) ) ==> skol1, alpha1
% 0.82/1.18 }.
% 0.82/1.18 substitution0:
% 0.82/1.18 end
% 0.82/1.18 permutation0:
% 0.82/1.18 0 ==> 0
% 0.82/1.18 1 ==> 1
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 eqswap: (1206) {G0,W6,D4,L2,V0,M2} { skol4 ==> f( g( skol4 ) ), ! alpha1
% 0.82/1.18 }.
% 0.82/1.18 parent0[1]: (8) {G0,W6,D4,L2,V0,M2} I { ! alpha1, f( g( skol4 ) ) ==> skol4
% 0.82/1.18 }.
% 0.82/1.18 substitution0:
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 resolution: (1207) {G1,W6,D4,L2,V0,M2} { skol4 ==> f( g( skol4 ) ), !
% 0.82/1.18 alpha4 }.
% 0.82/1.18 parent0[1]: (1206) {G0,W6,D4,L2,V0,M2} { skol4 ==> f( g( skol4 ) ), !
% 0.82/1.18 alpha1 }.
% 0.82/1.18 parent1[1]: (3) {G0,W2,D1,L2,V0,M2} I { ! alpha4, alpha1 }.
% 0.82/1.18 substitution0:
% 0.82/1.18 end
% 0.82/1.18 substitution1:
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 eqswap: (1208) {G1,W6,D4,L2,V0,M2} { f( g( skol4 ) ) ==> skol4, ! alpha4
% 0.82/1.18 }.
% 0.82/1.18 parent0[0]: (1207) {G1,W6,D4,L2,V0,M2} { skol4 ==> f( g( skol4 ) ), !
% 0.82/1.18 alpha4 }.
% 0.82/1.18 substitution0:
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 subsumption: (25) {G1,W6,D4,L2,V0,M2} R(8,3) { f( g( skol4 ) ) ==> skol4, !
% 0.82/1.18 alpha4 }.
% 0.82/1.18 parent0: (1208) {G1,W6,D4,L2,V0,M2} { f( g( skol4 ) ) ==> skol4, ! alpha4
% 0.82/1.18 }.
% 0.82/1.18 substitution0:
% 0.82/1.18 end
% 0.82/1.18 permutation0:
% 0.82/1.18 0 ==> 0
% 0.82/1.18 1 ==> 1
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 eqswap: (1210) {G0,W8,D4,L3,V1,M3} { ! X ==> g( f( X ) ), ! alpha4, !
% 0.82/1.18 alpha2( X ) }.
% 0.82/1.18 parent0[1]: (4) {G0,W8,D4,L3,V1,M3} I { ! alpha4, ! g( f( X ) ) ==> X, !
% 0.82/1.18 alpha2( X ) }.
% 0.82/1.18 substitution0:
% 0.82/1.18 X := X
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 paramod: (1211) {G1,W10,D3,L4,V0,M4} { ! g( skol4 ) ==> g( skol4 ), !
% 0.82/1.18 alpha1, ! alpha4, ! alpha2( g( skol4 ) ) }.
% 0.82/1.18 parent0[1]: (8) {G0,W6,D4,L2,V0,M2} I { ! alpha1, f( g( skol4 ) ) ==> skol4
% 0.82/1.18 }.
% 0.82/1.18 parent1[0; 5]: (1210) {G0,W8,D4,L3,V1,M3} { ! X ==> g( f( X ) ), ! alpha4
% 0.82/1.18 , ! alpha2( X ) }.
% 0.82/1.18 substitution0:
% 0.82/1.18 end
% 0.82/1.18 substitution1:
% 0.82/1.18 X := g( skol4 )
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 eqrefl: (1212) {G0,W5,D3,L3,V0,M3} { ! alpha1, ! alpha4, ! alpha2( g(
% 0.82/1.18 skol4 ) ) }.
% 0.82/1.18 parent0[0]: (1211) {G1,W10,D3,L4,V0,M4} { ! g( skol4 ) ==> g( skol4 ), !
% 0.82/1.18 alpha1, ! alpha4, ! alpha2( g( skol4 ) ) }.
% 0.82/1.18 substitution0:
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 resolution: (1213) {G1,W5,D3,L3,V0,M3} { ! alpha1, ! alpha2( g( skol4 ) )
% 0.82/1.18 , ! alpha1 }.
% 0.82/1.18 parent0[1]: (1212) {G0,W5,D3,L3,V0,M3} { ! alpha1, ! alpha4, ! alpha2( g(
% 0.82/1.18 skol4 ) ) }.
% 0.82/1.18 parent1[0]: (2) {G0,W2,D1,L2,V0,M2} I { alpha4, ! alpha1 }.
% 0.82/1.18 substitution0:
% 0.82/1.18 end
% 0.82/1.18 substitution1:
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 factor: (1214) {G1,W4,D3,L2,V0,M2} { ! alpha1, ! alpha2( g( skol4 ) ) }.
% 0.82/1.18 parent0[0, 2]: (1213) {G1,W5,D3,L3,V0,M3} { ! alpha1, ! alpha2( g( skol4 )
% 0.82/1.18 ), ! alpha1 }.
% 0.82/1.18 substitution0:
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 subsumption: (26) {G1,W4,D3,L2,V0,M2} P(8,4);q;r(2) { ! alpha2( g( skol4 )
% 0.82/1.18 ), ! alpha1 }.
% 0.82/1.18 parent0: (1214) {G1,W4,D3,L2,V0,M2} { ! alpha1, ! alpha2( g( skol4 ) ) }.
% 0.82/1.18 substitution0:
% 0.82/1.18 end
% 0.82/1.18 permutation0:
% 0.82/1.18 0 ==> 1
% 0.82/1.18 1 ==> 0
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 resolution: (1215) {G1,W4,D3,L2,V0,M2} { ! alpha2( g( skol4 ) ), ! alpha4
% 0.82/1.18 }.
% 0.82/1.18 parent0[1]: (26) {G1,W4,D3,L2,V0,M2} P(8,4);q;r(2) { ! alpha2( g( skol4 ) )
% 0.82/1.18 , ! alpha1 }.
% 0.82/1.18 parent1[1]: (3) {G0,W2,D1,L2,V0,M2} I { ! alpha4, alpha1 }.
% 0.82/1.18 substitution0:
% 0.82/1.18 end
% 0.82/1.18 substitution1:
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 subsumption: (30) {G2,W4,D3,L2,V0,M2} R(26,3) { ! alpha2( g( skol4 ) ), !
% 0.82/1.18 alpha4 }.
% 0.82/1.18 parent0: (1215) {G1,W4,D3,L2,V0,M2} { ! alpha2( g( skol4 ) ), ! alpha4 }.
% 0.82/1.18 substitution0:
% 0.82/1.18 end
% 0.82/1.18 permutation0:
% 0.82/1.18 0 ==> 0
% 0.82/1.18 1 ==> 1
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 eqswap: (1216) {G0,W6,D3,L2,V1,M2} { ! X ==> skol3( X ), alpha2( X ) }.
% 0.82/1.18 parent0[0]: (7) {G0,W6,D3,L2,V1,M2} I { ! skol3( X ) ==> X, alpha2( X ) }.
% 0.82/1.18 substitution0:
% 0.82/1.18 X := X
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 resolution: (1217) {G1,W7,D4,L2,V0,M2} { ! alpha4, ! g( skol4 ) ==> skol3
% 0.82/1.18 ( g( skol4 ) ) }.
% 0.82/1.18 parent0[0]: (30) {G2,W4,D3,L2,V0,M2} R(26,3) { ! alpha2( g( skol4 ) ), !
% 0.82/1.18 alpha4 }.
% 0.82/1.18 parent1[1]: (1216) {G0,W6,D3,L2,V1,M2} { ! X ==> skol3( X ), alpha2( X )
% 0.82/1.18 }.
% 0.82/1.18 substitution0:
% 0.82/1.18 end
% 0.82/1.18 substitution1:
% 0.82/1.18 X := g( skol4 )
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 eqswap: (1218) {G1,W7,D4,L2,V0,M2} { ! skol3( g( skol4 ) ) ==> g( skol4 )
% 0.82/1.18 , ! alpha4 }.
% 0.82/1.18 parent0[1]: (1217) {G1,W7,D4,L2,V0,M2} { ! alpha4, ! g( skol4 ) ==> skol3
% 0.82/1.18 ( g( skol4 ) ) }.
% 0.82/1.18 substitution0:
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 subsumption: (31) {G3,W7,D4,L2,V0,M2} R(30,7) { ! alpha4, ! skol3( g( skol4
% 0.82/1.18 ) ) ==> g( skol4 ) }.
% 0.82/1.18 parent0: (1218) {G1,W7,D4,L2,V0,M2} { ! skol3( g( skol4 ) ) ==> g( skol4 )
% 0.82/1.18 , ! alpha4 }.
% 0.82/1.18 substitution0:
% 0.82/1.18 end
% 0.82/1.18 permutation0:
% 0.82/1.18 0 ==> 1
% 0.82/1.18 1 ==> 0
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 eqswap: (1219) {G0,W10,D4,L3,V2,M3} { ! X ==> g( f( X ) ), ! alpha2( Y ),
% 0.82/1.18 X = Y }.
% 0.82/1.18 parent0[1]: (5) {G0,W10,D4,L3,V2,M3} I { ! alpha2( X ), ! g( f( Y ) ) ==> Y
% 0.82/1.18 , Y = X }.
% 0.82/1.18 substitution0:
% 0.82/1.18 X := Y
% 0.82/1.18 Y := X
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 eqswap: (1222) {G0,W6,D4,L2,V0,M2} { skol1 ==> g( f( skol1 ) ), alpha4 }.
% 0.82/1.18 parent0[1]: (0) {G0,W6,D4,L2,V0,M2} I { alpha4, g( f( skol1 ) ) ==> skol1
% 0.82/1.18 }.
% 0.82/1.18 substitution0:
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 resolution: (1223) {G1,W6,D2,L3,V1,M3} { ! alpha2( X ), skol1 = X, alpha4
% 0.82/1.18 }.
% 0.82/1.18 parent0[0]: (1219) {G0,W10,D4,L3,V2,M3} { ! X ==> g( f( X ) ), ! alpha2( Y
% 0.82/1.18 ), X = Y }.
% 0.82/1.18 parent1[0]: (1222) {G0,W6,D4,L2,V0,M2} { skol1 ==> g( f( skol1 ) ), alpha4
% 0.82/1.18 }.
% 0.82/1.18 substitution0:
% 0.82/1.18 X := skol1
% 0.82/1.18 Y := X
% 0.82/1.18 end
% 0.82/1.18 substitution1:
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 subsumption: (36) {G1,W6,D2,L3,V1,M3} R(5,0) { ! alpha2( X ), skol1 = X,
% 0.82/1.18 alpha4 }.
% 0.82/1.18 parent0: (1223) {G1,W6,D2,L3,V1,M3} { ! alpha2( X ), skol1 = X, alpha4 }.
% 0.82/1.18 substitution0:
% 0.82/1.18 X := X
% 0.82/1.18 end
% 0.82/1.18 permutation0:
% 0.82/1.18 0 ==> 0
% 0.82/1.18 1 ==> 1
% 0.82/1.18 2 ==> 2
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 eqswap: (1225) {G0,W10,D4,L3,V2,M3} { ! X ==> g( f( X ) ), ! alpha2( Y ),
% 0.82/1.18 X = Y }.
% 0.82/1.18 parent0[1]: (5) {G0,W10,D4,L3,V2,M3} I { ! alpha2( X ), ! g( f( Y ) ) ==> Y
% 0.82/1.18 , Y = X }.
% 0.82/1.18 substitution0:
% 0.82/1.18 X := Y
% 0.82/1.18 Y := X
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 resolution: (1228) {G1,W9,D4,L3,V1,M3} { ! X ==> g( f( X ) ), X = skol1,
% 0.82/1.18 alpha4 }.
% 0.82/1.18 parent0[1]: (1225) {G0,W10,D4,L3,V2,M3} { ! X ==> g( f( X ) ), ! alpha2( Y
% 0.82/1.18 ), X = Y }.
% 0.82/1.18 parent1[1]: (1) {G0,W3,D2,L2,V0,M2} I { alpha4, alpha2( skol1 ) }.
% 0.82/1.19 substitution0:
% 0.82/1.19 X := X
% 0.82/1.19 Y := skol1
% 0.82/1.19 end
% 0.82/1.19 substitution1:
% 0.82/1.19 end
% 0.82/1.19
% 0.82/1.19 eqswap: (1229) {G1,W9,D4,L3,V1,M3} { ! g( f( X ) ) ==> X, X = skol1,
% 0.82/1.19 alpha4 }.
% 0.82/1.19 parent0[0]: (1228) {G1,W9,D4,L3,V1,M3} { ! X ==> g( f( X ) ), X = skol1,
% 0.82/1.19 alpha4 }.
% 0.82/1.19 substitution0:
% 0.82/1.19 X := X
% 0.82/1.19 end
% 0.82/1.19
% 0.82/1.19 subsumption: (37) {G1,W9,D4,L3,V1,M3} R(5,1) { ! g( f( X ) ) ==> X, X =
% 0.82/1.19 skol1, alpha4 }.
% 0.82/1.19 parent0: (1229) {G1,W9,D4,L3,V1,M3} { ! g( f( X ) ) ==> X, X = skol1,
% 0.82/1.19 alpha4 }.
% 0.82/1.19 substitution0:
% 0.82/1.19 X := X
% 0.82/1.19 end
% 0.82/1.19 permutation0:
% 0.82/1.19 0 ==> 0
% 0.82/1.19 1 ==> 1
% 0.82/1.19 2 ==> 2
% 0.82/1.19 end
% 0.82/1.19
% 0.82/1.19 *** allocated 75937 integers for clauses
% 0.82/1.19 eqswap: (1232) {G1,W6,D2,L3,V1,M3} { X = skol1, ! alpha2( X ), alpha4 }.
% 0.82/1.19 parent0[1]: (36) {G1,W6,D2,L3,V1,M3} R(5,0) { ! alpha2( X ), skol1 = X,
% 0.82/1.19 alpha4 }.
% 0.82/1.19 substitution0:
% 0.82/1.19 X := X
% 0.82/1.19 end
% 0.82/1.19
% 0.82/1.19 eqswap: (1233) {G0,W6,D3,L2,V1,M2} { ! X ==> skol5( X ), alpha3( X ) }.
% 0.82/1.19 parent0[0]: (13) {G0,W6,D3,L2,V1,M2} I { ! skol5( X ) ==> X, alpha3( X )
% 0.82/1.19 }.
% 0.82/1.19 substitution0:
% 0.82/1.19 X := X
% 0.82/1.19 end
% 0.82/1.19
% 0.82/1.19 paramod: (1234) {G1,W9,D3,L4,V1,M4} { ! X ==> skol1, ! alpha2( skol5( X )
% 0.82/1.19 ), alpha4, alpha3( X ) }.
% 0.82/1.19 parent0[0]: (1232) {G1,W6,D2,L3,V1,M3} { X = skol1, ! alpha2( X ), alpha4
% 0.82/1.19 }.
% 0.82/1.19 parent1[0; 3]: (1233) {G0,W6,D3,L2,V1,M2} { ! X ==> skol5( X ), alpha3( X
% 0.82/1.19 ) }.
% 0.82/1.19 substitution0:
% 0.82/1.19 X := skol5( X )
% 0.82/1.19 end
% 0.82/1.19 substitution1:
% 0.82/1.19 X := X
% 0.82/1.19 end
% 0.82/1.19
% 0.82/1.19 eqswap: (1255) {G1,W9,D3,L4,V1,M4} { ! skol1 ==> X, ! alpha2( skol5( X ) )
% 0.82/1.19 , alpha4, alpha3( X ) }.
% 0.82/1.19 parent0[0]: (1234) {G1,W9,D3,L4,V1,M4} { ! X ==> skol1, ! alpha2( skol5( X
% 0.82/1.19 ) ), alpha4, alpha3( X ) }.
% 0.82/1.19 substitution0:
% 0.82/1.19 X := X
% 0.82/1.19 end
% 0.82/1.19
% 0.82/1.19 subsumption: (95) {G2,W9,D3,L4,V1,M4} P(36,13) { ! skol1 = X, alpha3( X ),
% 0.82/1.19 ! alpha2( skol5( X ) ), alpha4 }.
% 0.82/1.19 parent0: (1255) {G1,W9,D3,L4,V1,M4} { ! skol1 ==> X, ! alpha2( skol5( X )
% 0.82/1.19 ), alpha4, alpha3( X ) }.
% 0.82/1.19 substitution0:
% 0.82/1.19 X := X
% 0.82/1.19 end
% 0.82/1.19 permutation0:
% 0.82/1.19 0 ==> 0
% 0.82/1.19 1 ==> 2
% 0.82/1.19 2 ==> 3
% 0.82/1.19 3 ==> 1
% 0.82/1.19 end
% 0.82/1.19
% 0.82/1.19 eqswap: (1348) {G2,W9,D3,L4,V1,M4} { ! X = skol1, alpha3( X ), ! alpha2(
% 0.82/1.19 skol5( X ) ), alpha4 }.
% 0.82/1.19 parent0[0]: (95) {G2,W9,D3,L4,V1,M4} P(36,13) { ! skol1 = X, alpha3( X ), !
% 0.82/1.19 alpha2( skol5( X ) ), alpha4 }.
% 0.82/1.19 substitution0:
% 0.82/1.19 X := X
% 0.82/1.19 end
% 0.82/1.19
% 0.82/1.19 eqrefl: (1349) {G0,W6,D3,L3,V0,M3} { alpha3( skol1 ), ! alpha2( skol5(
% 0.82/1.19 skol1 ) ), alpha4 }.
% 0.82/1.19 parent0[0]: (1348) {G2,W9,D3,L4,V1,M4} { ! X = skol1, alpha3( X ), !
% 0.82/1.19 alpha2( skol5( X ) ), alpha4 }.
% 0.82/1.19 substitution0:
% 0.82/1.19 X := skol1
% 0.82/1.19 end
% 0.82/1.19
% 0.82/1.19 subsumption: (97) {G3,W6,D3,L3,V0,M3} Q(95) { alpha3( skol1 ), ! alpha2(
% 0.82/1.19 skol5( skol1 ) ), alpha4 }.
% 0.82/1.19 parent0: (1349) {G0,W6,D3,L3,V0,M3} { alpha3( skol1 ), ! alpha2( skol5(
% 0.82/1.19 skol1 ) ), alpha4 }.
% 0.82/1.19 substitution0:
% 0.82/1.19 end
% 0.82/1.19 permutation0:
% 0.82/1.19 0 ==> 0
% 0.82/1.19 1 ==> 1
% 0.82/1.19 2 ==> 2
% 0.82/1.19 end
% 0.82/1.19
% 0.82/1.19 eqswap: (1350) {G0,W9,D5,L2,V2,M2} { skol3( X ) ==> g( f( skol3( X ) ) ),
% 0.82/1.19 alpha2( Y ) }.
% 0.82/1.19 parent0[0]: (6) {G0,W9,D5,L2,V2,M2} I { g( f( skol3( Y ) ) ) ==> skol3( Y )
% 0.82/1.19 , alpha2( X ) }.
% 0.82/1.19 substitution0:
% 0.82/1.19 X := Y
% 0.82/1.19 Y := X
% 0.82/1.19 end
% 0.82/1.19
% 0.82/1.19 resolution: (1351) {G1,W8,D5,L2,V1,M2} { ! alpha4, skol3( X ) ==> g( f(
% 0.82/1.19 skol3( X ) ) ) }.
% 0.82/1.19 parent0[0]: (30) {G2,W4,D3,L2,V0,M2} R(26,3) { ! alpha2( g( skol4 ) ), !
% 0.82/1.19 alpha4 }.
% 0.82/1.19 parent1[1]: (1350) {G0,W9,D5,L2,V2,M2} { skol3( X ) ==> g( f( skol3( X ) )
% 0.82/1.19 ), alpha2( Y ) }.
% 0.82/1.19 substitution0:
% 0.82/1.19 end
% 0.82/1.19 substitution1:
% 0.82/1.19 X := X
% 0.82/1.19 Y := g( skol4 )
% 0.82/1.19 end
% 0.82/1.19
% 0.82/1.19 eqswap: (1352) {G1,W8,D5,L2,V1,M2} { g( f( skol3( X ) ) ) ==> skol3( X ),
% 0.82/1.19 ! alpha4 }.
% 0.82/1.19 parent0[1]: (1351) {G1,W8,D5,L2,V1,M2} { ! alpha4, skol3( X ) ==> g( f(
% 0.82/1.19 skol3( X ) ) ) }.
% 0.82/1.19 substitution0:
% 0.82/1.19 X := X
% 0.82/1.19 end
% 0.82/1.19
% 0.82/1.19 subsumption: (113) {G3,W8,D5,L2,V1,M2} R(6,30) { g( f( skol3( X ) ) ) ==>
% 0.82/1.19 skol3( X ), ! alpha4 }.
% 0.82/1.19 parent0: (1352) {G1,W8,D5,L2,V1,M2} { g( f( skol3( X ) ) ) ==> skol3( X )
% 0.82/1.19 , ! alpha4 }.
% 0.82/1.19 substitution0:
% 0.82/1.19 X := X
% 0.82/1.19 end
% 0.82/1.19 permutation0:
% 0.82/1.19 0 ==> 0
% 0.82/1.19 1 ==> 1
% 0.82/1.19 end
% 0.82/1.19
% 0.82/1.19 eqswap: (1353) {G0,W10,D4,L3,V2,M3} { ! X ==> f( g( X ) ), ! alpha3( Y ),
% 0.82/1.19 X = Y }.
% 0.82/1.19 parent0[1]: (11) {G0,W10,D4,L3,V2,M3} I { ! alpha3( X ), ! f( g( Y ) ) ==>
% 0.82/1.19 Y, Y = X }.
% 0.82/1.19 substitution0:
% 0.82/1.19 X := Y
% 0.82/1.19 Y := X
% 0.82/1.19 end
% 0.82/1.19
% 0.82/1.19 eqswap: (1356) {G0,W6,D4,L2,V0,M2} { skol4 ==> f( g( skol4 ) ), ! alpha1
% 0.82/1.19 }.
% 0.82/1.19 parent0[1]: (8) {G0,W6,D4,L2,V0,M2} I { ! alpha1, f( g( skol4 ) ) ==> skol4
% 0.82/1.19 }.
% 0.82/1.19 substitution0:
% 0.82/1.19 end
% 0.82/1.19
% 0.82/1.19 resolution: (1357) {G1,W6,D2,L3,V1,M3} { ! alpha3( X ), skol4 = X, !
% 0.82/1.19 alphaCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------