%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUN070+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.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 16:19:13 EDT 2022
% Result : Theorem 0.72s 1.11s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUN070+2 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.32 % Computer : n020.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Thu Jun 2 09:53:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.72/1.11 *** allocated 10000 integers for termspace/termends
% 0.72/1.11 *** allocated 10000 integers for clauses
% 0.72/1.11 *** allocated 10000 integers for justifications
% 0.72/1.11 Bliksem 1.12
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 Automatic Strategy Selection
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 Clauses:
% 0.72/1.11
% 0.72/1.11 { alpha1( skol1, X ), r1( X ) }.
% 0.72/1.11 { alpha1( skol1, X ), X = skol1 }.
% 0.72/1.11 { ! alpha1( X, Y ), ! r1( Y ) }.
% 0.72/1.11 { ! alpha1( X, Y ), ! Y = X }.
% 0.72/1.11 { r1( Y ), Y = X, alpha1( X, Y ) }.
% 0.72/1.11 { alpha2( X, skol2( X ), Y ), r2( X, Y ) }.
% 0.72/1.11 { alpha2( X, skol2( X ), Y ), Y = skol2( X ) }.
% 0.72/1.11 { ! alpha2( X, Y, Z ), ! r2( X, Z ) }.
% 0.72/1.11 { ! alpha2( X, Y, Z ), ! Z = Y }.
% 0.72/1.11 { r2( X, Z ), Z = Y, alpha2( X, Y, Z ) }.
% 0.72/1.11 { alpha3( X, Y, skol3( X, Y ), Z ), r3( X, Y, Z ) }.
% 0.72/1.11 { alpha3( X, Y, skol3( X, Y ), Z ), Z = skol3( X, Y ) }.
% 0.72/1.11 { ! alpha3( X, Y, Z, T ), ! r3( X, Y, T ) }.
% 0.72/1.11 { ! alpha3( X, Y, Z, T ), ! T = Z }.
% 0.72/1.11 { r3( X, Y, T ), T = Z, alpha3( X, Y, Z, T ) }.
% 0.72/1.11 { alpha4( X, Y, skol4( X, Y ), Z ), r4( X, Y, Z ) }.
% 0.72/1.11 { alpha4( X, Y, skol4( X, Y ), Z ), Z = skol4( X, Y ) }.
% 0.72/1.11 { ! alpha4( X, Y, Z, T ), ! r4( X, Y, T ) }.
% 0.72/1.11 { ! alpha4( X, Y, Z, T ), ! T = Z }.
% 0.72/1.11 { r4( X, Y, T ), T = Z, alpha4( X, Y, Z, T ) }.
% 0.72/1.11 { r2( Y, skol16( Z, Y ) ) }.
% 0.72/1.11 { r3( X, skol16( X, Y ), skol11( X, Y ) ) }.
% 0.72/1.11 { skol11( X, Y ) = skol5( X, Y ) }.
% 0.72/1.11 { r2( skol19( X, Y ), skol5( X, Y ) ) }.
% 0.72/1.11 { r3( X, Y, skol19( X, Y ) ) }.
% 0.72/1.11 { r2( Y, skol17( Z, Y ) ) }.
% 0.72/1.11 { r4( X, skol17( X, Y ), skol12( X, Y ) ) }.
% 0.72/1.11 { skol12( X, Y ) = skol6( X, Y ) }.
% 0.72/1.11 { r3( skol20( X, Y ), X, skol6( X, Y ) ) }.
% 0.72/1.11 { r4( X, Y, skol20( X, Y ) ) }.
% 0.72/1.11 { ! r2( X, T ), ! T = Z, ! r2( Y, Z ), X = Y }.
% 0.72/1.11 { r1( skol13( Y ) ) }.
% 0.72/1.11 { r3( X, skol13( X ), skol7( X ) ) }.
% 0.72/1.11 { skol7( X ) = X }.
% 0.72/1.11 { r1( skol14( Z ) ) }.
% 0.72/1.11 { skol8( Y ) = skol14( Y ) }.
% 0.72/1.11 { r1( skol18( Y ) ) }.
% 0.72/1.11 { r4( X, skol18( X ), skol8( X ) ) }.
% 0.72/1.11 { alpha5( X ), r2( skol15( Y ), skol9( Y ) ) }.
% 0.72/1.11 { alpha5( X ), X = skol9( X ) }.
% 0.72/1.11 { ! alpha5( X ), r1( skol10( Y ) ) }.
% 0.72/1.11 { ! alpha5( X ), X = skol10( X ) }.
% 0.72/1.11 { ! r1( Y ), ! X = Y, alpha5( X ) }.
% 0.72/1.11 { ! r1( Y ), ! Y = X, ! r2( Z, X ) }.
% 0.72/1.11 { ! r1( Z ), ! r3( Y, Z, X ), ! r1( T ), ! r2( T, Y ), ! X = U, ! r1( W ),
% 0.72/1.11 ! r2( W, U ) }.
% 0.72/1.11
% 0.72/1.11 percentage equality = 0.267442, percentage horn = 0.688889
% 0.72/1.11 This is a problem with some equality
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 Options Used:
% 0.72/1.11
% 0.72/1.11 useres = 1
% 0.72/1.11 useparamod = 1
% 0.72/1.11 useeqrefl = 1
% 0.72/1.11 useeqfact = 1
% 0.72/1.11 usefactor = 1
% 0.72/1.11 usesimpsplitting = 0
% 0.72/1.11 usesimpdemod = 5
% 0.72/1.11 usesimpres = 3
% 0.72/1.11
% 0.72/1.11 resimpinuse = 1000
% 0.72/1.11 resimpclauses = 20000
% 0.72/1.11 substype = eqrewr
% 0.72/1.11 backwardsubs = 1
% 0.72/1.11 selectoldest = 5
% 0.72/1.11
% 0.72/1.11 litorderings [0] = split
% 0.72/1.11 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.11
% 0.72/1.11 termordering = kbo
% 0.72/1.11
% 0.72/1.11 litapriori = 0
% 0.72/1.11 termapriori = 1
% 0.72/1.11 litaposteriori = 0
% 0.72/1.11 termaposteriori = 0
% 0.72/1.11 demodaposteriori = 0
% 0.72/1.11 ordereqreflfact = 0
% 0.72/1.11
% 0.72/1.11 litselect = negord
% 0.72/1.11
% 0.72/1.11 maxweight = 15
% 0.72/1.11 maxdepth = 30000
% 0.72/1.11 maxlength = 115
% 0.72/1.11 maxnrvars = 195
% 0.72/1.11 excuselevel = 1
% 0.72/1.11 increasemaxweight = 1
% 0.72/1.11
% 0.72/1.11 maxselected = 10000000
% 0.72/1.11 maxnrclauses = 10000000
% 0.72/1.11
% 0.72/1.11 showgenerated = 0
% 0.72/1.11 showkept = 0
% 0.72/1.11 showselected = 0
% 0.72/1.11 showdeleted = 0
% 0.72/1.11 showresimp = 1
% 0.72/1.11 showstatus = 2000
% 0.72/1.11
% 0.72/1.11 prologoutput = 0
% 0.72/1.11 nrgoals = 5000000
% 0.72/1.11 totalproof = 1
% 0.72/1.11
% 0.72/1.11 Symbols occurring in the translation:
% 0.72/1.11
% 0.72/1.11 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.11 . [1, 2] (w:1, o:66, a:1, s:1, b:0),
% 0.72/1.11 ! [4, 1] (w:0, o:50, a:1, s:1, b:0),
% 0.72/1.11 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.11 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.11 r1 [37, 1] (w:1, o:55, a:1, s:1, b:0),
% 0.72/1.11 r2 [41, 2] (w:1, o:90, a:1, s:1, b:0),
% 0.72/1.11 r3 [46, 3] (w:1, o:102, a:1, s:1, b:0),
% 0.72/1.11 r4 [51, 3] (w:1, o:103, a:1, s:1, b:0),
% 0.72/1.11 alpha1 [82, 2] (w:1, o:91, a:1, s:1, b:1),
% 0.72/1.11 alpha2 [83, 3] (w:1, o:104, a:1, s:1, b:1),
% 0.72/1.11 alpha3 [84, 4] (w:1, o:105, a:1, s:1, b:1),
% 0.72/1.11 alpha4 [85, 4] (w:1, o:106, a:1, s:1, b:1),
% 0.72/1.11 alpha5 [86, 1] (w:1, o:56, a:1, s:1, b:1),
% 0.72/1.11 skol1 [87, 0] (w:1, o:49, a:1, s:1, b:1),
% 0.72/1.11 skol2 [88, 1] (w:1, o:62, a:1, s:1, b:1),
% 0.72/1.11 skol3 [89, 2] (w:1, o:93, a:1, s:1, b:1),
% 0.72/1.11 skol4 [90, 2] (w:1, o:94, a:1, s:1, b:1),
% 0.72/1.11 skol5 [91, 2] (w:1, o:95, a:1, s:1, b:1),
% 0.72/1.11 skol6 [92, 2] (w:1, o:96, a:1, s:1, b:1),
% 0.72/1.11 skol7 [93, 1] (w:1, o:63, a:1, s:1, b:1),
% 0.72/1.11 skol8 [94, 1] (w:1, o:64, a:1, s:1, b:1),
% 0.72/1.11 skol9 [95, 1] (w:1, o:65, a:1, s:1, b:1),
% 0.72/1.11 skol10 [96, 1] (w:1, o:57, a:1, s:1, b:1),
% 0.72/1.11 skol11 [97, 2] (w:1, o:97, a:1, s:1, b:1),
% 0.72/1.11 skol12 [98, 2] (w:1, o:98, a:1, s:1, b:1),
% 0.72/1.11 skol13 [99, 1] (w:1, o:58, a:1, s:1, b:1),
% 0.72/1.11 skol14 [100, 1] (w:1, o:59, a:1, s:1, b:1),
% 0.72/1.11 skol15 [101, 1] (w:1, o:60, a:1, s:1, b:1),
% 0.72/1.11 skol16 [102, 2] (w:1, o:99, a:1, s:1, b:1),
% 0.72/1.11 skol17 [103, 2] (w:1, o:100, a:1, s:1, b:1),
% 0.72/1.11 skol18 [104, 1] (w:1, o:61, a:1, s:1, b:1),
% 0.72/1.11 skol19 [105, 2] (w:1, o:101, a:1, s:1, b:1),
% 0.72/1.11 skol20 [106, 2] (w:1, o:92, a:1, s:1, b:1).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 Starting Search:
% 0.72/1.11
% 0.72/1.11 *** allocated 15000 integers for clauses
% 0.72/1.11 *** allocated 22500 integers for clauses
% 0.72/1.11 *** allocated 33750 integers for clauses
% 0.72/1.11 *** allocated 50625 integers for clauses
% 0.72/1.11 *** allocated 15000 integers for termspace/termends
% 0.72/1.11 Resimplifying inuse:
% 0.72/1.11 Done
% 0.72/1.11
% 0.72/1.11 *** allocated 75937 integers for clauses
% 0.72/1.11
% 0.72/1.11 Bliksems!, er is een bewijs:
% 0.72/1.11 % SZS status Theorem
% 0.72/1.11 % SZS output start Refutation
% 0.72/1.11
% 0.72/1.11 (0) {G0,W5,D2,L2,V1,M2} I { alpha1( skol1, X ), r1( X ) }.
% 0.72/1.11 (1) {G0,W6,D2,L2,V1,M2} I { alpha1( skol1, X ), X = skol1 }.
% 0.72/1.11 (2) {G0,W5,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! r1( Y ) }.
% 0.72/1.11 (3) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! Y = X }.
% 0.72/1.11 (5) {G0,W8,D3,L2,V2,M2} I { alpha2( X, skol2( X ), Y ), r2( X, Y ) }.
% 0.72/1.11 (8) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), ! Z = Y }.
% 0.72/1.11 (31) {G0,W3,D3,L1,V1,M1} I { r1( skol13( Y ) ) }.
% 0.72/1.11 (32) {G0,W6,D3,L1,V1,M1} I { r3( X, skol13( X ), skol7( X ) ) }.
% 0.72/1.11 (33) {G0,W4,D3,L1,V1,M1} I { skol7( X ) ==> X }.
% 0.72/1.11 (44) {G0,W19,D2,L7,V6,M7} I { ! r1( Z ), ! r3( Y, Z, X ), ! r1( T ), ! r2(
% 0.72/1.11 T, Y ), ! X = U, ! r1( W ), ! r2( W, U ) }.
% 0.72/1.11 (45) {G1,W3,D2,L1,V1,M1} Q(3) { ! alpha1( X, X ) }.
% 0.72/1.11 (46) {G1,W4,D2,L1,V2,M1} Q(8) { ! alpha2( X, Y, Y ) }.
% 0.72/1.11 (65) {G2,W2,D2,L1,V0,M1} R(0,45) { r1( skol1 ) }.
% 0.72/1.11 (75) {G1,W4,D3,L1,V2,M1} R(2,31) { ! alpha1( X, skol13( Y ) ) }.
% 0.72/1.11 (78) {G2,W4,D3,L1,V1,M1} R(75,1) { skol13( X ) ==> skol1 }.
% 0.72/1.11 (94) {G2,W4,D3,L1,V1,M1} R(5,46) { r2( X, skol2( X ) ) }.
% 0.72/1.11 (350) {G3,W4,D2,L1,V1,M1} S(32);d(78);d(33) { r3( X, skol1, X ) }.
% 0.72/1.11 (1042) {G4,W13,D2,L5,V4,M5} R(44,350);r(65) { ! r1( X ), ! r2( X, Y ), ! Y
% 0.72/1.11 = Z, ! r1( T ), ! r2( T, Z ) }.
% 0.72/1.11 (1078) {G5,W5,D2,L2,V2,M2} F(1042);q;f { ! r1( X ), ! r2( X, Y ) }.
% 0.72/1.11 (1085) {G6,W2,D2,L1,V1,M1} R(1078,94) { ! r1( X ) }.
% 0.72/1.11 (1095) {G7,W0,D0,L0,V0,M0} R(1085,65) { }.
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 % SZS output end Refutation
% 0.72/1.11 found a proof!
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 Unprocessed initial clauses:
% 0.72/1.11
% 0.72/1.11 (1097) {G0,W5,D2,L2,V1,M2} { alpha1( skol1, X ), r1( X ) }.
% 0.72/1.11 (1098) {G0,W6,D2,L2,V1,M2} { alpha1( skol1, X ), X = skol1 }.
% 0.72/1.11 (1099) {G0,W5,D2,L2,V2,M2} { ! alpha1( X, Y ), ! r1( Y ) }.
% 0.72/1.11 (1100) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), ! Y = X }.
% 0.72/1.11 (1101) {G0,W8,D2,L3,V2,M3} { r1( Y ), Y = X, alpha1( X, Y ) }.
% 0.72/1.11 (1102) {G0,W8,D3,L2,V2,M2} { alpha2( X, skol2( X ), Y ), r2( X, Y ) }.
% 0.72/1.11 (1103) {G0,W9,D3,L2,V2,M2} { alpha2( X, skol2( X ), Y ), Y = skol2( X )
% 0.72/1.11 }.
% 0.72/1.11 (1104) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), ! r2( X, Z ) }.
% 0.72/1.11 (1105) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), ! Z = Y }.
% 0.72/1.11 (1106) {G0,W10,D2,L3,V3,M3} { r2( X, Z ), Z = Y, alpha2( X, Y, Z ) }.
% 0.72/1.11 (1107) {G0,W11,D3,L2,V3,M2} { alpha3( X, Y, skol3( X, Y ), Z ), r3( X, Y,
% 0.72/1.11 Z ) }.
% 0.72/1.11 (1108) {G0,W12,D3,L2,V3,M2} { alpha3( X, Y, skol3( X, Y ), Z ), Z = skol3
% 0.72/1.11 ( X, Y ) }.
% 0.72/1.11 (1109) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), ! r3( X, Y, T ) }.
% 0.72/1.11 (1110) {G0,W8,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), ! T = Z }.
% 0.72/1.11 (1111) {G0,W12,D2,L3,V4,M3} { r3( X, Y, T ), T = Z, alpha3( X, Y, Z, T )
% 0.72/1.11 }.
% 0.72/1.11 (1112) {G0,W11,D3,L2,V3,M2} { alpha4( X, Y, skol4( X, Y ), Z ), r4( X, Y,
% 0.72/1.11 Z ) }.
% 0.72/1.11 (1113) {G0,W12,D3,L2,V3,M2} { alpha4( X, Y, skol4( X, Y ), Z ), Z = skol4
% 0.72/1.11 ( X, Y ) }.
% 0.72/1.11 (1114) {G0,W9,D2,L2,V4,M2} { ! alpha4( X, Y, Z, T ), ! r4( X, Y, T ) }.
% 0.72/1.11 (1115) {G0,W8,D2,L2,V4,M2} { ! alpha4( X, Y, Z, T ), ! T = Z }.
% 0.72/1.11 (1116) {G0,W12,D2,L3,V4,M3} { r4( X, Y, T ), T = Z, alpha4( X, Y, Z, T )
% 0.72/1.11 }.
% 0.72/1.11 (1117) {G0,W5,D3,L1,V2,M1} { r2( Y, skol16( Z, Y ) ) }.
% 0.72/1.11 (1118) {G0,W8,D3,L1,V2,M1} { r3( X, skol16( X, Y ), skol11( X, Y ) ) }.
% 0.72/1.11 (1119) {G0,W7,D3,L1,V2,M1} { skol11( X, Y ) = skol5( X, Y ) }.
% 0.72/1.11 (1120) {G0,W7,D3,L1,V2,M1} { r2( skol19( X, Y ), skol5( X, Y ) ) }.
% 0.72/1.11 (1121) {G0,W6,D3,L1,V2,M1} { r3( X, Y, skol19( X, Y ) ) }.
% 0.72/1.11 (1122) {G0,W5,D3,L1,V2,M1} { r2( Y, skol17( Z, Y ) ) }.
% 0.72/1.11 (1123) {G0,W8,D3,L1,V2,M1} { r4( X, skol17( X, Y ), skol12( X, Y ) ) }.
% 0.72/1.11 (1124) {G0,W7,D3,L1,V2,M1} { skol12( X, Y ) = skol6( X, Y ) }.
% 0.72/1.11 (1125) {G0,W8,D3,L1,V2,M1} { r3( skol20( X, Y ), X, skol6( X, Y ) ) }.
% 0.72/1.11 (1126) {G0,W6,D3,L1,V2,M1} { r4( X, Y, skol20( X, Y ) ) }.
% 0.72/1.11 (1127) {G0,W12,D2,L4,V4,M4} { ! r2( X, T ), ! T = Z, ! r2( Y, Z ), X = Y
% 0.72/1.11 }.
% 0.72/1.11 (1128) {G0,W3,D3,L1,V1,M1} { r1( skol13( Y ) ) }.
% 0.72/1.11 (1129) {G0,W6,D3,L1,V1,M1} { r3( X, skol13( X ), skol7( X ) ) }.
% 0.72/1.11 (1130) {G0,W4,D3,L1,V1,M1} { skol7( X ) = X }.
% 0.72/1.11 (1131) {G0,W3,D3,L1,V1,M1} { r1( skol14( Z ) ) }.
% 0.72/1.11 (1132) {G0,W5,D3,L1,V1,M1} { skol8( Y ) = skol14( Y ) }.
% 0.72/1.11 (1133) {G0,W3,D3,L1,V1,M1} { r1( skol18( Y ) ) }.
% 0.72/1.11 (1134) {G0,W6,D3,L1,V1,M1} { r4( X, skol18( X ), skol8( X ) ) }.
% 0.72/1.11 (1135) {G0,W7,D3,L2,V2,M2} { alpha5( X ), r2( skol15( Y ), skol9( Y ) )
% 0.72/1.11 }.
% 0.72/1.11 (1136) {G0,W6,D3,L2,V1,M2} { alpha5( X ), X = skol9( X ) }.
% 0.72/1.11 (1137) {G0,W5,D3,L2,V2,M2} { ! alpha5( X ), r1( skol10( Y ) ) }.
% 0.72/1.11 (1138) {G0,W6,D3,L2,V1,M2} { ! alpha5( X ), X = skol10( X ) }.
% 0.72/1.11 (1139) {G0,W7,D2,L3,V2,M3} { ! r1( Y ), ! X = Y, alpha5( X ) }.
% 0.72/1.11 (1140) {G0,W8,D2,L3,V3,M3} { ! r1( Y ), ! Y = X, ! r2( Z, X ) }.
% 0.72/1.11 (1141) {G0,W19,D2,L7,V6,M7} { ! r1( Z ), ! r3( Y, Z, X ), ! r1( T ), ! r2
% 0.72/1.11 ( T, Y ), ! X = U, ! r1( W ), ! r2( W, U ) }.
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 Total Proof:
% 0.72/1.11
% 0.72/1.11 subsumption: (0) {G0,W5,D2,L2,V1,M2} I { alpha1( skol1, X ), r1( X ) }.
% 0.72/1.11 parent0: (1097) {G0,W5,D2,L2,V1,M2} { alpha1( skol1, X ), r1( X ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := X
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 0
% 0.72/1.11 1 ==> 1
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (1) {G0,W6,D2,L2,V1,M2} I { alpha1( skol1, X ), X = skol1 }.
% 0.72/1.11 parent0: (1098) {G0,W6,D2,L2,V1,M2} { alpha1( skol1, X ), X = skol1 }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := X
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 0
% 0.72/1.11 1 ==> 1
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (2) {G0,W5,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! r1( Y ) }.
% 0.72/1.11 parent0: (1099) {G0,W5,D2,L2,V2,M2} { ! alpha1( X, Y ), ! r1( Y ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := X
% 0.72/1.11 Y := Y
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 0
% 0.72/1.11 1 ==> 1
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (3) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! Y = X }.
% 0.72/1.11 parent0: (1100) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), ! Y = X }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := X
% 0.72/1.11 Y := Y
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 0
% 0.72/1.11 1 ==> 1
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (5) {G0,W8,D3,L2,V2,M2} I { alpha2( X, skol2( X ), Y ), r2( X
% 0.72/1.11 , Y ) }.
% 0.72/1.11 parent0: (1102) {G0,W8,D3,L2,V2,M2} { alpha2( X, skol2( X ), Y ), r2( X, Y
% 0.72/1.11 ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := X
% 0.72/1.11 Y := Y
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 0
% 0.72/1.11 1 ==> 1
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (8) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), ! Z = Y }.
% 0.72/1.11 parent0: (1105) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), ! Z = Y }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := X
% 0.72/1.11 Y := Y
% 0.72/1.11 Z := Z
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 0
% 0.72/1.11 1 ==> 1
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 *** allocated 22500 integers for termspace/termends
% 0.72/1.11 subsumption: (31) {G0,W3,D3,L1,V1,M1} I { r1( skol13( Y ) ) }.
% 0.72/1.11 parent0: (1128) {G0,W3,D3,L1,V1,M1} { r1( skol13( Y ) ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := Z
% 0.72/1.11 Y := Y
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 0
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (32) {G0,W6,D3,L1,V1,M1} I { r3( X, skol13( X ), skol7( X ) )
% 0.72/1.11 }.
% 0.72/1.11 parent0: (1129) {G0,W6,D3,L1,V1,M1} { r3( X, skol13( X ), skol7( X ) ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := X
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 0
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (33) {G0,W4,D3,L1,V1,M1} I { skol7( X ) ==> X }.
% 0.72/1.11 parent0: (1130) {G0,W4,D3,L1,V1,M1} { skol7( X ) = X }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := X
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 0
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (44) {G0,W19,D2,L7,V6,M7} I { ! r1( Z ), ! r3( Y, Z, X ), ! r1
% 0.72/1.11 ( T ), ! r2( T, Y ), ! X = U, ! r1( W ), ! r2( W, U ) }.
% 0.72/1.11 parent0: (1141) {G0,W19,D2,L7,V6,M7} { ! r1( Z ), ! r3( Y, Z, X ), ! r1( T
% 0.72/1.11 ), ! r2( T, Y ), ! X = U, ! r1( W ), ! r2( W, U ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := X
% 0.72/1.11 Y := Y
% 0.72/1.11 Z := Z
% 0.72/1.11 T := T
% 0.72/1.11 U := U
% 0.72/1.11 W := W
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 0
% 0.72/1.11 1 ==> 1
% 0.72/1.11 2 ==> 2
% 0.72/1.11 3 ==> 3
% 0.72/1.11 4 ==> 4
% 0.72/1.11 5 ==> 5
% 0.72/1.11 6 ==> 6
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 eqswap: (1242) {G0,W6,D2,L2,V2,M2} { ! Y = X, ! alpha1( Y, X ) }.
% 0.72/1.11 parent0[1]: (3) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! Y = X }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := Y
% 0.72/1.11 Y := X
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 eqrefl: (1243) {G0,W3,D2,L1,V1,M1} { ! alpha1( X, X ) }.
% 0.72/1.11 parent0[0]: (1242) {G0,W6,D2,L2,V2,M2} { ! Y = X, ! alpha1( Y, X ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := X
% 0.72/1.11 Y := X
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (45) {G1,W3,D2,L1,V1,M1} Q(3) { ! alpha1( X, X ) }.
% 0.72/1.11 parent0: (1243) {G0,W3,D2,L1,V1,M1} { ! alpha1( X, X ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := X
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 0
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 eqswap: (1244) {G0,W7,D2,L2,V3,M2} { ! Y = X, ! alpha2( Z, Y, X ) }.
% 0.72/1.11 parent0[1]: (8) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), ! Z = Y }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := Z
% 0.72/1.11 Y := Y
% 0.72/1.11 Z := X
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 eqrefl: (1245) {G0,W4,D2,L1,V2,M1} { ! alpha2( Y, X, X ) }.
% 0.72/1.11 parent0[0]: (1244) {G0,W7,D2,L2,V3,M2} { ! Y = X, ! alpha2( Z, Y, X ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := X
% 0.72/1.11 Y := X
% 0.72/1.11 Z := Y
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (46) {G1,W4,D2,L1,V2,M1} Q(8) { ! alpha2( X, Y, Y ) }.
% 0.72/1.11 parent0: (1245) {G0,W4,D2,L1,V2,M1} { ! alpha2( Y, X, X ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := Y
% 0.72/1.11 Y := X
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 0
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 resolution: (1246) {G1,W2,D2,L1,V0,M1} { r1( skol1 ) }.
% 0.72/1.11 parent0[0]: (45) {G1,W3,D2,L1,V1,M1} Q(3) { ! alpha1( X, X ) }.
% 0.72/1.11 parent1[0]: (0) {G0,W5,D2,L2,V1,M2} I { alpha1( skol1, X ), r1( X ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := skol1
% 0.72/1.11 end
% 0.72/1.11 substitution1:
% 0.72/1.11 X := skol1
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (65) {G2,W2,D2,L1,V0,M1} R(0,45) { r1( skol1 ) }.
% 0.72/1.11 parent0: (1246) {G1,W2,D2,L1,V0,M1} { r1( skol1 ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 0
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 resolution: (1247) {G1,W4,D3,L1,V2,M1} { ! alpha1( X, skol13( Y ) ) }.
% 0.72/1.11 parent0[1]: (2) {G0,W5,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! r1( Y ) }.
% 0.72/1.11 parent1[0]: (31) {G0,W3,D3,L1,V1,M1} I { r1( skol13( Y ) ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := X
% 0.72/1.11 Y := skol13( Y )
% 0.72/1.11 end
% 0.72/1.11 substitution1:
% 0.72/1.11 X := Z
% 0.72/1.11 Y := Y
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (75) {G1,W4,D3,L1,V2,M1} R(2,31) { ! alpha1( X, skol13( Y ) )
% 0.72/1.11 }.
% 0.72/1.11 parent0: (1247) {G1,W4,D3,L1,V2,M1} { ! alpha1( X, skol13( Y ) ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := X
% 0.72/1.11 Y := Y
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 0
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 eqswap: (1248) {G0,W6,D2,L2,V1,M2} { skol1 = X, alpha1( skol1, X ) }.
% 0.72/1.11 parent0[1]: (1) {G0,W6,D2,L2,V1,M2} I { alpha1( skol1, X ), X = skol1 }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := X
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 resolution: (1249) {G1,W4,D3,L1,V1,M1} { skol1 = skol13( X ) }.
% 0.72/1.11 parent0[0]: (75) {G1,W4,D3,L1,V2,M1} R(2,31) { ! alpha1( X, skol13( Y ) )
% 0.72/1.11 }.
% 0.72/1.11 parent1[1]: (1248) {G0,W6,D2,L2,V1,M2} { skol1 = X, alpha1( skol1, X ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := skol1
% 0.72/1.11 Y := X
% 0.72/1.11 end
% 0.72/1.11 substitution1:
% 0.72/1.11 X := skol13( X )
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 eqswap: (1250) {G1,W4,D3,L1,V1,M1} { skol13( X ) = skol1 }.
% 0.72/1.11 parent0[0]: (1249) {G1,W4,D3,L1,V1,M1} { skol1 = skol13( X ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := X
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (78) {G2,W4,D3,L1,V1,M1} R(75,1) { skol13( X ) ==> skol1 }.
% 0.72/1.11 parent0: (1250) {G1,W4,D3,L1,V1,M1} { skol13( X ) = skol1 }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := X
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 0
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 resolution: (1251) {G1,W4,D3,L1,V1,M1} { r2( X, skol2( X ) ) }.
% 0.72/1.11 parent0[0]: (46) {G1,W4,D2,L1,V2,M1} Q(8) { ! alpha2( X, Y, Y ) }.
% 0.72/1.11 parent1[0]: (5) {G0,W8,D3,L2,V2,M2} I { alpha2( X, skol2( X ), Y ), r2( X,
% 0.72/1.11 Y ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := X
% 0.72/1.11 Y := skol2( X )
% 0.72/1.11 end
% 0.72/1.11 substitution1:
% 0.72/1.11 X := X
% 0.72/1.11 Y := skol2( X )
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (94) {G2,W4,D3,L1,V1,M1} R(5,46) { r2( X, skol2( X ) ) }.
% 0.72/1.11 parent0: (1251) {G1,W4,D3,L1,V1,M1} { r2( X, skol2( X ) ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := X
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 0
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 paramod: (1254) {G1,W5,D3,L1,V1,M1} { r3( X, skol1, skol7( X ) ) }.
% 0.72/1.11 parent0[0]: (78) {G2,W4,D3,L1,V1,M1} R(75,1) { skol13( X ) ==> skol1 }.
% 0.72/1.11 parent1[0; 2]: (32) {G0,W6,D3,L1,V1,M1} I { r3( X, skol13( X ), skol7( X )
% 0.72/1.11 ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := X
% 0.72/1.11 end
% 0.72/1.11 substitution1:
% 0.72/1.11 X := X
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 paramod: (1255) {G1,W4,D2,L1,V1,M1} { r3( X, skol1, X ) }.
% 0.72/1.11 parent0[0]: (33) {G0,W4,D3,L1,V1,M1} I { skol7( X ) ==> X }.
% 0.72/1.11 parent1[0; 3]: (1254) {G1,W5,D3,L1,V1,M1} { r3( X, skol1, skol7( X ) ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := X
% 0.72/1.11 end
% 0.72/1.11 substitution1:
% 0.72/1.11 X := X
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (350) {G3,W4,D2,L1,V1,M1} S(32);d(78);d(33) { r3( X, skol1, X
% 0.72/1.11 ) }.
% 0.72/1.11 parent0: (1255) {G1,W4,D2,L1,V1,M1} { r3( X, skol1, X ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := X
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 0
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 eqswap: (1256) {G0,W19,D2,L7,V6,M7} { ! Y = X, ! r1( Z ), ! r3( T, Z, X )
% 0.72/1.11 , ! r1( U ), ! r2( U, T ), ! r1( W ), ! r2( W, Y ) }.
% 0.72/1.11 parent0[4]: (44) {G0,W19,D2,L7,V6,M7} I { ! r1( Z ), ! r3( Y, Z, X ), ! r1
% 0.72/1.11 ( T ), ! r2( T, Y ), ! X = U, ! r1( W ), ! r2( W, U ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := X
% 0.72/1.11 Y := T
% 0.72/1.11 Z := Z
% 0.72/1.11 T := U
% 0.72/1.11 U := Y
% 0.72/1.11 W := W
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 resolution: (1257) {G1,W15,D2,L6,V4,M6} { ! X = Y, ! r1( skol1 ), ! r1( Z
% 0.72/1.11 ), ! r2( Z, Y ), ! r1( T ), ! r2( T, X ) }.
% 0.72/1.11 parent0[2]: (1256) {G0,W19,D2,L7,V6,M7} { ! Y = X, ! r1( Z ), ! r3( T, Z,
% 0.72/1.11 X ), ! r1( U ), ! r2( U, T ), ! r1( W ), ! r2( W, Y ) }.
% 0.72/1.11 parent1[0]: (350) {G3,W4,D2,L1,V1,M1} S(32);d(78);d(33) { r3( X, skol1, X )
% 0.72/1.11 }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := Y
% 0.72/1.11 Y := X
% 0.72/1.11 Z := skol1
% 0.72/1.11 T := Y
% 0.72/1.11 U := Z
% 0.72/1.11 W := T
% 0.72/1.11 end
% 0.72/1.11 substitution1:
% 0.72/1.11 X := Y
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 resolution: (1281) {G2,W13,D2,L5,V4,M5} { ! X = Y, ! r1( Z ), ! r2( Z, Y )
% 0.72/1.11 , ! r1( T ), ! r2( T, X ) }.
% 0.72/1.11 parent0[1]: (1257) {G1,W15,D2,L6,V4,M6} { ! X = Y, ! r1( skol1 ), ! r1( Z
% 0.72/1.11 ), ! r2( Z, Y ), ! r1( T ), ! r2( T, X ) }.
% 0.72/1.11 parent1[0]: (65) {G2,W2,D2,L1,V0,M1} R(0,45) { r1( skol1 ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := X
% 0.72/1.11 Y := Y
% 0.72/1.11 Z := Z
% 0.72/1.11 T := T
% 0.72/1.11 end
% 0.72/1.11 substitution1:
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (1042) {G4,W13,D2,L5,V4,M5} R(44,350);r(65) { ! r1( X ), ! r2
% 0.72/1.11 ( X, Y ), ! Y = Z, ! r1( T ), ! r2( T, Z ) }.
% 0.72/1.11 parent0: (1281) {G2,W13,D2,L5,V4,M5} { ! X = Y, ! r1( Z ), ! r2( Z, Y ), !
% 0.72/1.11 r1( T ), ! r2( T, X ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := Y
% 0.72/1.11 Y := Z
% 0.72/1.11 Z := T
% 0.72/1.11 T := X
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 2
% 0.72/1.11 1 ==> 3
% 0.72/1.11 2 ==> 4
% 0.72/1.11 3 ==> 0
% 0.72/1.11 4 ==> 1
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 factor: (1286) {G4,W10,D2,L4,V2,M4} { ! r1( X ), ! r2( X, Y ), ! Y = Y, !
% 0.72/1.11 r1( X ) }.
% 0.72/1.11 parent0[1, 4]: (1042) {G4,W13,D2,L5,V4,M5} R(44,350);r(65) { ! r1( X ), !
% 0.72/1.11 r2( X, Y ), ! Y = Z, ! r1( T ), ! r2( T, Z ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := X
% 0.72/1.11 Y := Y
% 0.72/1.11 Z := Y
% 0.72/1.11 T := X
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 factor: (1287) {G4,W8,D2,L3,V2,M3} { ! r1( X ), ! r2( X, Y ), ! Y = Y }.
% 0.72/1.11 parent0[0, 3]: (1286) {G4,W10,D2,L4,V2,M4} { ! r1( X ), ! r2( X, Y ), ! Y
% 0.72/1.11 = Y, ! r1( X ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := X
% 0.72/1.11 Y := Y
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 eqrefl: (1288) {G0,W5,D2,L2,V2,M2} { ! r1( X ), ! r2( X, Y ) }.
% 0.72/1.11 parent0[2]: (1287) {G4,W8,D2,L3,V2,M3} { ! r1( X ), ! r2( X, Y ), ! Y = Y
% 0.72/1.11 }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := X
% 0.72/1.11 Y := Y
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (1078) {G5,W5,D2,L2,V2,M2} F(1042);q;f { ! r1( X ), ! r2( X, Y
% 0.72/1.11 ) }.
% 0.72/1.11 parent0: (1288) {G0,W5,D2,L2,V2,M2} { ! r1( X ), ! r2( X, Y ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := X
% 0.72/1.11 Y := Y
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 0
% 0.72/1.11 1 ==> 1
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 resolution: (1289) {G3,W2,D2,L1,V1,M1} { ! r1( X ) }.
% 0.72/1.11 parent0[1]: (1078) {G5,W5,D2,L2,V2,M2} F(1042);q;f { ! r1( X ), ! r2( X, Y
% 0.72/1.11 ) }.
% 0.72/1.11 parent1[0]: (94) {G2,W4,D3,L1,V1,M1} R(5,46) { r2( X, skol2( X ) ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := X
% 0.72/1.11 Y := skol2( X )
% 0.72/1.11 end
% 0.72/1.11 substitution1:
% 0.72/1.11 X := X
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (1085) {G6,W2,D2,L1,V1,M1} R(1078,94) { ! r1( X ) }.
% 0.72/1.11 parent0: (1289) {G3,W2,D2,L1,V1,M1} { ! r1( X ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := X
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 0
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 resolution: (1290) {G3,W0,D0,L0,V0,M0} { }.
% 0.72/1.11 parent0[0]: (1085) {G6,W2,D2,L1,V1,M1} R(1078,94) { ! r1( X ) }.
% 0.72/1.11 parent1[0]: (65) {G2,W2,D2,L1,V0,M1} R(0,45) { r1( skol1 ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := skol1
% 0.72/1.11 end
% 0.72/1.11 substitution1:
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (1095) {G7,W0,D0,L0,V0,M0} R(1085,65) { }.
% 0.72/1.11 parent0: (1290) {G3,W0,D0,L0,V0,M0} { }.
% 0.72/1.11 substitution0:
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 Proof check complete!
% 0.72/1.11
% 0.72/1.11 Memory use:
% 0.72/1.11
% 0.72/1.11 space for terms: 14490
% 0.72/1.11 space for clauses: 51317
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 clauses generated: 3090
% 0.72/1.11 clauses kept: 1096
% 0.72/1.11 clauses selected: 143
% 0.72/1.11 clauses deleted: 40
% 0.72/1.11 clauses inuse deleted: 25
% 0.72/1.11
% 0.72/1.11 subsentry: 5355
% 0.72/1.11 literals s-matched: 4329
% 0.72/1.11 literals matched: 4181
% 0.72/1.11 full subsumption: 2100
% 0.72/1.11
% 0.72/1.11 checksum: 400602876
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 Bliksem ended
%------------------------------------------------------------------------------