TSTP Solution File: NUN068+2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUN068+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.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 0.75s 1.18s
% Output : Refutation 0.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : NUN068+2 : TPTP v8.1.0. Released v7.3.0.
% 0.11/0.14 % Command : bliksem %s
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Thu Jun 2 08:10:01 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.75/1.18 *** allocated 10000 integers for termspace/termends
% 0.75/1.18 *** allocated 10000 integers for clauses
% 0.75/1.18 *** allocated 10000 integers for justifications
% 0.75/1.18 Bliksem 1.12
% 0.75/1.18
% 0.75/1.18
% 0.75/1.18 Automatic Strategy Selection
% 0.75/1.18
% 0.75/1.18
% 0.75/1.18 Clauses:
% 0.75/1.18
% 0.75/1.18 { alpha1( skol1, X ), r1( X ) }.
% 0.75/1.18 { alpha1( skol1, X ), X = skol1 }.
% 0.75/1.18 { ! alpha1( X, Y ), ! r1( Y ) }.
% 0.75/1.18 { ! alpha1( X, Y ), ! Y = X }.
% 0.75/1.18 { r1( Y ), Y = X, alpha1( X, Y ) }.
% 0.75/1.18 { alpha2( X, skol2( X ), Y ), r2( X, Y ) }.
% 0.75/1.18 { alpha2( X, skol2( X ), Y ), Y = skol2( X ) }.
% 0.75/1.18 { ! alpha2( X, Y, Z ), ! r2( X, Z ) }.
% 0.75/1.18 { ! alpha2( X, Y, Z ), ! Z = Y }.
% 0.75/1.18 { r2( X, Z ), Z = Y, alpha2( X, Y, Z ) }.
% 0.75/1.18 { alpha3( X, Y, skol3( X, Y ), Z ), r3( X, Y, Z ) }.
% 0.75/1.18 { alpha3( X, Y, skol3( X, Y ), Z ), Z = skol3( X, Y ) }.
% 0.75/1.18 { ! alpha3( X, Y, Z, T ), ! r3( X, Y, T ) }.
% 0.75/1.18 { ! alpha3( X, Y, Z, T ), ! T = Z }.
% 0.75/1.18 { r3( X, Y, T ), T = Z, alpha3( X, Y, Z, T ) }.
% 0.75/1.18 { alpha4( X, Y, skol4( X, Y ), Z ), r4( X, Y, Z ) }.
% 0.75/1.18 { alpha4( X, Y, skol4( X, Y ), Z ), Z = skol4( X, Y ) }.
% 0.75/1.18 { ! alpha4( X, Y, Z, T ), ! r4( X, Y, T ) }.
% 0.75/1.18 { ! alpha4( X, Y, Z, T ), ! T = Z }.
% 0.75/1.18 { r4( X, Y, T ), T = Z, alpha4( X, Y, Z, T ) }.
% 0.75/1.18 { r2( Y, skol19( Z, Y ) ) }.
% 0.75/1.18 { r3( X, skol19( X, Y ), skol13( X, Y ) ) }.
% 0.75/1.18 { skol13( X, Y ) = skol5( X, Y ) }.
% 0.75/1.18 { r2( skol22( X, Y ), skol5( X, Y ) ) }.
% 0.75/1.18 { r3( X, Y, skol22( X, Y ) ) }.
% 0.75/1.18 { r2( Y, skol20( Z, Y ) ) }.
% 0.75/1.18 { r4( X, skol20( X, Y ), skol14( X, Y ) ) }.
% 0.75/1.18 { skol14( X, Y ) = skol6( X, Y ) }.
% 0.75/1.18 { r3( skol23( X, Y ), X, skol6( X, Y ) ) }.
% 0.75/1.18 { r4( X, Y, skol23( X, Y ) ) }.
% 0.75/1.18 { ! r2( X, T ), ! T = Z, ! r2( Y, Z ), X = Y }.
% 0.75/1.18 { r1( skol15( Y ) ) }.
% 0.75/1.18 { r3( X, skol15( X ), skol7( X ) ) }.
% 0.75/1.18 { skol7( X ) = X }.
% 0.75/1.18 { r1( skol16( Z ) ) }.
% 0.75/1.18 { skol8( Y ) = skol16( Y ) }.
% 0.75/1.18 { r1( skol21( Y ) ) }.
% 0.75/1.18 { r4( X, skol21( X ), skol8( X ) ) }.
% 0.75/1.18 { alpha5( X ), r2( skol17( Y ), skol9( Y ) ) }.
% 0.75/1.18 { alpha5( X ), X = skol9( X ) }.
% 0.75/1.18 { ! alpha5( X ), r1( skol10( Y ) ) }.
% 0.75/1.18 { ! alpha5( X ), X = skol10( X ) }.
% 0.75/1.18 { ! r1( Y ), ! X = Y, alpha5( X ) }.
% 0.75/1.18 { ! r1( Y ), ! Y = X, ! r2( Z, X ) }.
% 0.75/1.18 { alpha6( X ), r1( skol11( Y ) ) }.
% 0.75/1.18 { alpha6( X ), X = skol11( X ) }.
% 0.75/1.18 { ! alpha6( X ), r1( skol18( Z ) ) }.
% 0.75/1.18 { ! alpha6( X ), r2( skol18( Y ), skol12( Y ) ) }.
% 0.75/1.18 { ! alpha6( X ), X = skol12( X ) }.
% 0.75/1.18 { ! r1( Z ), ! r2( Z, Y ), ! X = Y, alpha6( X ) }.
% 0.75/1.18
% 0.75/1.18 percentage equality = 0.268817, percentage horn = 0.680000
% 0.75/1.18 This is a problem with some equality
% 0.75/1.18
% 0.75/1.18
% 0.75/1.18
% 0.75/1.18 Options Used:
% 0.75/1.18
% 0.75/1.18 useres = 1
% 0.75/1.18 useparamod = 1
% 0.75/1.18 useeqrefl = 1
% 0.75/1.18 useeqfact = 1
% 0.75/1.18 usefactor = 1
% 0.75/1.18 usesimpsplitting = 0
% 0.75/1.18 usesimpdemod = 5
% 0.75/1.18 usesimpres = 3
% 0.75/1.18
% 0.75/1.18 resimpinuse = 1000
% 0.75/1.18 resimpclauses = 20000
% 0.75/1.18 substype = eqrewr
% 0.75/1.18 backwardsubs = 1
% 0.75/1.18 selectoldest = 5
% 0.75/1.18
% 0.75/1.18 litorderings [0] = split
% 0.75/1.18 litorderings [1] = extend the termordering, first sorting on arguments
% 0.75/1.18
% 0.75/1.18 termordering = kbo
% 0.75/1.18
% 0.75/1.18 litapriori = 0
% 0.75/1.18 termapriori = 1
% 0.75/1.18 litaposteriori = 0
% 0.75/1.18 termaposteriori = 0
% 0.75/1.18 demodaposteriori = 0
% 0.75/1.18 ordereqreflfact = 0
% 0.75/1.18
% 0.75/1.18 litselect = negord
% 0.75/1.18
% 0.75/1.18 maxweight = 15
% 0.75/1.18 maxdepth = 30000
% 0.75/1.18 maxlength = 115
% 0.75/1.18 maxnrvars = 195
% 0.75/1.18 excuselevel = 1
% 0.75/1.18 increasemaxweight = 1
% 0.75/1.18
% 0.75/1.18 maxselected = 10000000
% 0.75/1.18 maxnrclauses = 10000000
% 0.75/1.18
% 0.75/1.18 showgenerated = 0
% 0.75/1.18 showkept = 0
% 0.75/1.18 showselected = 0
% 0.75/1.18 showdeleted = 0
% 0.75/1.18 showresimp = 1
% 0.75/1.18 showstatus = 2000
% 0.75/1.18
% 0.75/1.18 prologoutput = 0
% 0.75/1.18 nrgoals = 5000000
% 0.75/1.18 totalproof = 1
% 0.75/1.18
% 0.75/1.18 Symbols occurring in the translation:
% 0.75/1.18
% 0.75/1.18 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.75/1.18 . [1, 2] (w:1, o:70, a:1, s:1, b:0),
% 0.75/1.18 ! [4, 1] (w:0, o:50, a:1, s:1, b:0),
% 0.75/1.18 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.18 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.18 r1 [37, 1] (w:1, o:55, a:1, s:1, b:0),
% 0.75/1.18 r2 [41, 2] (w:1, o:94, a:1, s:1, b:0),
% 0.75/1.18 r3 [46, 3] (w:1, o:106, a:1, s:1, b:0),
% 0.75/1.18 r4 [51, 3] (w:1, o:107, a:1, s:1, b:0),
% 0.75/1.18 alpha1 [82, 2] (w:1, o:95, a:1, s:1, b:1),
% 0.75/1.18 alpha2 [83, 3] (w:1, o:108, a:1, s:1, b:1),
% 0.75/1.18 alpha3 [84, 4] (w:1, o:109, a:1, s:1, b:1),
% 0.75/1.18 alpha4 [85, 4] (w:1, o:110, a:1, s:1, b:1),
% 0.75/1.18 alpha5 [86, 1] (w:1, o:56, a:1, s:1, b:1),
% 0.75/1.18 alpha6 [87, 1] (w:1, o:57, a:1, s:1, b:1),
% 0.75/1.18 skol1 [88, 0] (w:1, o:49, a:1, s:1, b:1),
% 0.75/1.18 skol2 [89, 1] (w:1, o:65, a:1, s:1, b:1),
% 0.75/1.18 skol3 [90, 2] (w:1, o:99, a:1, s:1, b:1),
% 0.75/1.18 skol4 [91, 2] (w:1, o:100, a:1, s:1, b:1),
% 0.75/1.18 skol5 [92, 2] (w:1, o:101, a:1, s:1, b:1),
% 0.75/1.18 skol6 [93, 2] (w:1, o:102, a:1, s:1, b:1),
% 0.75/1.18 skol7 [94, 1] (w:1, o:66, a:1, s:1, b:1),
% 0.75/1.18 skol8 [95, 1] (w:1, o:67, a:1, s:1, b:1),
% 0.75/1.18 skol9 [96, 1] (w:1, o:68, a:1, s:1, b:1),
% 0.75/1.18 skol10 [97, 1] (w:1, o:58, a:1, s:1, b:1),
% 0.75/1.18 skol11 [98, 1] (w:1, o:59, a:1, s:1, b:1),
% 0.75/1.18 skol12 [99, 1] (w:1, o:60, a:1, s:1, b:1),
% 0.75/1.18 skol13 [100, 2] (w:1, o:103, a:1, s:1, b:1),
% 0.75/1.18 skol14 [101, 2] (w:1, o:104, a:1, s:1, b:1),
% 0.75/1.18 skol15 [102, 1] (w:1, o:61, a:1, s:1, b:1),
% 0.75/1.18 skol16 [103, 1] (w:1, o:62, a:1, s:1, b:1),
% 0.75/1.18 skol17 [104, 1] (w:1, o:63, a:1, s:1, b:1),
% 0.75/1.18 skol18 [105, 1] (w:1, o:64, a:1, s:1, b:1),
% 0.75/1.18 skol19 [106, 2] (w:1, o:105, a:1, s:1, b:1),
% 0.75/1.18 skol20 [107, 2] (w:1, o:96, a:1, s:1, b:1),
% 0.75/1.18 skol21 [108, 1] (w:1, o:69, a:1, s:1, b:1),
% 0.75/1.18 skol22 [109, 2] (w:1, o:97, a:1, s:1, b:1),
% 0.75/1.18 skol23 [110, 2] (w:1, o:98, a:1, s:1, b:1).
% 0.75/1.18
% 0.75/1.18
% 0.75/1.18 Starting Search:
% 0.75/1.18
% 0.75/1.18 *** allocated 15000 integers for clauses
% 0.75/1.18 *** allocated 22500 integers for clauses
% 0.75/1.18 *** allocated 33750 integers for clauses
% 0.75/1.18 *** allocated 50625 integers for clauses
% 0.75/1.18 *** allocated 15000 integers for termspace/termends
% 0.75/1.18 Resimplifying inuse:
% 0.75/1.18 Done
% 0.75/1.18
% 0.75/1.18 *** allocated 75937 integers for clauses
% 0.75/1.18 *** allocated 22500 integers for termspace/termends
% 0.75/1.18 *** allocated 113905 integers for clauses
% 0.75/1.18 *** allocated 33750 integers for termspace/termends
% 0.75/1.18
% 0.75/1.18 Intermediate Status:
% 0.75/1.18 Generated: 6124
% 0.75/1.18 Kept: 2033
% 0.75/1.18 Inuse: 206
% 0.75/1.18 Deleted: 66
% 0.75/1.18 Deletedinuse: 34
% 0.75/1.18
% 0.75/1.18 Resimplifying inuse:
% 0.75/1.18 Done
% 0.75/1.18
% 0.75/1.18
% 0.75/1.18 Bliksems!, er is een bewijs:
% 0.75/1.18 % SZS status Theorem
% 0.75/1.18 % SZS output start Refutation
% 0.75/1.18
% 0.75/1.18 (0) {G0,W5,D2,L2,V1,M2} I { alpha1( skol1, X ), r1( X ) }.
% 0.75/1.18 (1) {G0,W6,D2,L2,V1,M2} I { alpha1( skol1, X ), X = skol1 }.
% 0.75/1.18 (2) {G0,W5,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! r1( Y ) }.
% 0.75/1.18 (3) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! Y = X }.
% 0.75/1.18 (4) {G0,W8,D2,L3,V2,M3} I { r1( Y ), Y = X, alpha1( X, Y ) }.
% 0.75/1.18 (5) {G0,W8,D3,L2,V2,M2} I { alpha2( X, skol2( X ), Y ), r2( X, Y ) }.
% 0.75/1.18 (6) {G0,W9,D3,L2,V2,M2} I { alpha2( X, skol2( X ), Y ), Y = skol2( X ) }.
% 0.75/1.18 (7) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), ! r2( X, Z ) }.
% 0.75/1.18 (8) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), ! Z = Y }.
% 0.75/1.18 (20) {G0,W5,D3,L1,V2,M1} I { r2( Y, skol19( Z, Y ) ) }.
% 0.75/1.18 (30) {G0,W12,D2,L4,V4,M4} I { ! r2( X, T ), ! T = Z, ! r2( Y, Z ), X = Y
% 0.75/1.18 }.
% 0.75/1.18 (36) {G0,W3,D3,L1,V1,M1} I { r1( skol21( Y ) ) }.
% 0.75/1.18 (38) {G0,W7,D3,L2,V2,M2} I { alpha5( X ), r2( skol17( Y ), skol9( Y ) ) }.
% 0.75/1.18 (40) {G0,W5,D3,L2,V2,M2} I { ! alpha5( X ), r1( skol10( Y ) ) }.
% 0.75/1.18 (41) {G0,W6,D3,L2,V1,M2} I { ! alpha5( X ), skol10( X ) ==> X }.
% 0.75/1.18 (42) {G0,W7,D2,L3,V2,M3} I { ! r1( Y ), ! X = Y, alpha5( X ) }.
% 0.75/1.18 (43) {G0,W8,D2,L3,V3,M3} I { ! r1( Y ), ! Y = X, ! r2( Z, X ) }.
% 0.75/1.18 (44) {G0,W5,D3,L2,V2,M2} I { alpha6( X ), r1( skol11( Y ) ) }.
% 0.75/1.18 (45) {G0,W6,D3,L2,V1,M2} I { alpha6( X ), skol11( X ) ==> X }.
% 0.75/1.18 (46) {G0,W5,D3,L2,V2,M2} I { ! alpha6( X ), r1( skol18( Z ) ) }.
% 0.75/1.18 (47) {G0,W7,D3,L2,V2,M2} I { ! alpha6( X ), r2( skol18( Y ), skol12( Y ) )
% 0.75/1.18 }.
% 0.75/1.18 (48) {G0,W6,D3,L2,V1,M2} I { ! alpha6( X ), skol12( X ) ==> X }.
% 0.75/1.18 (51) {G1,W4,D2,L1,V2,M1} Q(8) { ! alpha2( X, Y, Y ) }.
% 0.75/1.18 (55) {G1,W4,D2,L2,V1,M2} Q(42) { ! r1( X ), alpha5( X ) }.
% 0.75/1.18 (56) {G1,W5,D2,L2,V2,M2} Q(43) { ! r1( X ), ! r2( Y, X ) }.
% 0.75/1.18 (63) {G2,W3,D3,L1,V1,M1} R(55,36) { alpha5( skol21( X ) ) }.
% 0.75/1.18 (65) {G1,W5,D2,L2,V1,M2} R(2,1) { ! r1( X ), X = skol1 }.
% 0.75/1.18 (74) {G1,W5,D2,L2,V1,M2} R(3,0) { ! X = skol1, r1( X ) }.
% 0.75/1.18 (87) {G2,W4,D3,L1,V1,M1} R(5,51) { r2( X, skol2( X ) ) }.
% 0.75/1.18 (88) {G3,W3,D3,L1,V1,M1} R(87,56) { ! r1( skol2( X ) ) }.
% 0.75/1.18 (89) {G4,W7,D3,L2,V2,M2} P(4,87);r(88) { r2( X, Y ), alpha1( Y, skol2( X )
% 0.75/1.18 ) }.
% 0.75/1.18 (96) {G1,W9,D3,L2,V2,M2} R(6,3) { alpha2( X, skol2( X ), Y ), ! alpha1(
% 0.75/1.18 skol2( X ), Y ) }.
% 0.75/1.18 (123) {G1,W6,D3,L1,V3,M1} R(20,7) { ! alpha2( X, Y, skol19( Z, X ) ) }.
% 0.75/1.18 (124) {G2,W4,D3,L1,V2,M1} R(20,56) { ! r1( skol19( X, Y ) ) }.
% 0.75/1.18 (134) {G3,W5,D3,L1,V2,M1} R(124,74) { ! skol19( X, Y ) ==> skol1 }.
% 0.75/1.18 (198) {G2,W6,D3,L2,V3,M2} R(44,56) { alpha6( X ), ! r2( Y, skol11( Z ) )
% 0.75/1.18 }.
% 0.75/1.18 (214) {G3,W3,D3,L1,V1,M1} R(40,63) { r1( skol10( X ) ) }.
% 0.75/1.18 (251) {G4,W4,D3,L1,V1,M1} R(214,65) { skol10( X ) ==> skol1 }.
% 0.75/1.18 (332) {G2,W6,D3,L1,V2,M1} R(123,6) { skol19( X, Y ) ==> skol2( Y ) }.
% 0.75/1.18 (713) {G3,W7,D2,L3,V3,M3} P(45,198) { alpha6( Y ), ! r2( Z, X ), alpha6( X
% 0.75/1.18 ) }.
% 0.75/1.18 (714) {G1,W6,D2,L3,V2,M3} P(45,44) { alpha6( Y ), r1( X ), alpha6( X ) }.
% 0.75/1.18 (715) {G2,W4,D2,L2,V1,M2} F(714) { alpha6( X ), r1( X ) }.
% 0.75/1.18 (716) {G4,W5,D2,L2,V2,M2} F(713) { alpha6( X ), ! r2( Y, X ) }.
% 0.75/1.18 (729) {G3,W5,D3,L2,V2,M2} R(715,46) { r1( X ), r1( skol18( Y ) ) }.
% 0.75/1.18 (730) {G3,W3,D3,L1,V1,M1} R(715,124);d(332) { alpha6( skol2( Y ) ) }.
% 0.75/1.18 (733) {G4,W3,D3,L1,V1,M1} F(729) { r1( skol18( X ) ) }.
% 0.75/1.18 (767) {G5,W4,D3,L1,V1,M1} R(733,65) { skol18( X ) ==> skol1 }.
% 0.75/1.18 (922) {G5,W5,D3,L2,V2,M2} R(38,716) { alpha5( X ), alpha6( skol9( Y ) ) }.
% 0.75/1.18 (976) {G5,W5,D2,L2,V1,M2} S(41);d(251) { ! alpha5( X ), skol1 = X }.
% 0.75/1.18 (1013) {G6,W3,D3,L1,V1,M1} P(976,134);q;d(332) { ! alpha5( skol2( Y ) ) }.
% 0.75/1.18 (1024) {G7,W3,D3,L1,V1,M1} R(1013,922) { alpha6( skol9( X ) ) }.
% 0.75/1.18 (1100) {G6,W6,D3,L2,V2,M2} S(47);d(767) { ! alpha6( X ), r2( skol1, skol12
% 0.75/1.18 ( Y ) ) }.
% 0.75/1.18 (1254) {G8,W4,D3,L1,V1,M1} R(1100,1024) { r2( skol1, skol12( X ) ) }.
% 0.75/1.18 (1270) {G7,W7,D2,L3,V2,M3} P(48,1100) { ! alpha6( Y ), r2( skol1, X ), !
% 0.75/1.18 alpha6( X ) }.
% 0.75/1.18 (1291) {G8,W5,D2,L2,V1,M2} F(1270) { ! alpha6( X ), r2( skol1, X ) }.
% 0.75/1.18 (1335) {G9,W3,D3,L1,V1,M1} R(1254,56) { ! r1( skol12( X ) ) }.
% 0.75/1.18 (1376) {G10,W4,D2,L2,V1,M2} P(48,1335) { ! r1( X ), ! alpha6( X ) }.
% 0.75/1.18 (1425) {G11,W5,D2,L2,V1,M2} R(1376,74) { ! alpha6( X ), ! X = skol1 }.
% 0.75/1.18 (1493) {G12,W14,D2,L5,V4,M5} P(30,1425) { ! alpha6( Y ), ! Y = X, ! r2(
% 0.75/1.18 skol1, Z ), ! Z = T, ! r2( X, T ) }.
% 0.75/1.18 (1506) {G13,W8,D2,L3,V2,M3} F(1493);r(1291) { ! alpha6( X ), ! X = Y, ! r2
% 0.75/1.18 ( Y, Y ) }.
% 0.75/1.18 (1507) {G14,W5,D2,L2,V1,M2} Q(1506) { ! alpha6( X ), ! r2( X, X ) }.
% 0.75/1.18 (1538) {G15,W6,D2,L2,V2,M2} R(1507,716) { ! r2( X, X ), ! r2( Y, X ) }.
% 0.75/1.18 (1545) {G16,W3,D2,L1,V1,M1} F(1538) { ! r2( X, X ) }.
% 0.75/1.18 (1567) {G9,W4,D3,L1,V1,M1} R(1291,730) { r2( skol1, skol2( X ) ) }.
% 0.75/1.18 (1619) {G10,W5,D3,L1,V2,M1} R(1567,7) { ! alpha2( skol1, X, skol2( Y ) )
% 0.75/1.18 }.
% 0.75/1.18 (1691) {G17,W4,D3,L1,V1,M1} R(89,1545) { alpha1( X, skol2( X ) ) }.
% 0.75/1.18 (2076) {G11,W5,D3,L1,V1,M1} R(96,1619) { ! alpha1( skol2( skol1 ), skol2( X
% 0.75/1.18 ) ) }.
% 0.75/1.18 (2078) {G18,W0,D0,L0,V0,M0} R(2076,1691) { }.
% 0.75/1.18
% 0.75/1.18
% 0.75/1.18 % SZS output end Refutation
% 0.75/1.18 found a proof!
% 0.75/1.18
% 0.75/1.18
% 0.75/1.18 Unprocessed initial clauses:
% 0.75/1.18
% 0.75/1.18 (2080) {G0,W5,D2,L2,V1,M2} { alpha1( skol1, X ), r1( X ) }.
% 0.75/1.18 (2081) {G0,W6,D2,L2,V1,M2} { alpha1( skol1, X ), X = skol1 }.
% 0.75/1.18 (2082) {G0,W5,D2,L2,V2,M2} { ! alpha1( X, Y ), ! r1( Y ) }.
% 0.75/1.18 (2083) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), ! Y = X }.
% 0.75/1.18 (2084) {G0,W8,D2,L3,V2,M3} { r1( Y ), Y = X, alpha1( X, Y ) }.
% 0.75/1.18 (2085) {G0,W8,D3,L2,V2,M2} { alpha2( X, skol2( X ), Y ), r2( X, Y ) }.
% 0.75/1.18 (2086) {G0,W9,D3,L2,V2,M2} { alpha2( X, skol2( X ), Y ), Y = skol2( X )
% 0.75/1.18 }.
% 0.75/1.18 (2087) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), ! r2( X, Z ) }.
% 0.75/1.18 (2088) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), ! Z = Y }.
% 0.75/1.18 (2089) {G0,W10,D2,L3,V3,M3} { r2( X, Z ), Z = Y, alpha2( X, Y, Z ) }.
% 0.75/1.18 (2090) {G0,W11,D3,L2,V3,M2} { alpha3( X, Y, skol3( X, Y ), Z ), r3( X, Y,
% 0.75/1.18 Z ) }.
% 0.75/1.18 (2091) {G0,W12,D3,L2,V3,M2} { alpha3( X, Y, skol3( X, Y ), Z ), Z = skol3
% 0.75/1.18 ( X, Y ) }.
% 0.75/1.18 (2092) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), ! r3( X, Y, T ) }.
% 0.75/1.18 (2093) {G0,W8,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), ! T = Z }.
% 0.75/1.18 (2094) {G0,W12,D2,L3,V4,M3} { r3( X, Y, T ), T = Z, alpha3( X, Y, Z, T )
% 0.75/1.18 }.
% 0.75/1.18 (2095) {G0,W11,D3,L2,V3,M2} { alpha4( X, Y, skol4( X, Y ), Z ), r4( X, Y,
% 0.75/1.18 Z ) }.
% 0.75/1.18 (2096) {G0,W12,D3,L2,V3,M2} { alpha4( X, Y, skol4( X, Y ), Z ), Z = skol4
% 0.75/1.18 ( X, Y ) }.
% 0.75/1.18 (2097) {G0,W9,D2,L2,V4,M2} { ! alpha4( X, Y, Z, T ), ! r4( X, Y, T ) }.
% 0.75/1.18 (2098) {G0,W8,D2,L2,V4,M2} { ! alpha4( X, Y, Z, T ), ! T = Z }.
% 0.75/1.18 (2099) {G0,W12,D2,L3,V4,M3} { r4( X, Y, T ), T = Z, alpha4( X, Y, Z, T )
% 0.75/1.18 }.
% 0.75/1.18 (2100) {G0,W5,D3,L1,V2,M1} { r2( Y, skol19( Z, Y ) ) }.
% 0.75/1.18 (2101) {G0,W8,D3,L1,V2,M1} { r3( X, skol19( X, Y ), skol13( X, Y ) ) }.
% 0.75/1.18 (2102) {G0,W7,D3,L1,V2,M1} { skol13( X, Y ) = skol5( X, Y ) }.
% 0.75/1.18 (2103) {G0,W7,D3,L1,V2,M1} { r2( skol22( X, Y ), skol5( X, Y ) ) }.
% 0.75/1.18 (2104) {G0,W6,D3,L1,V2,M1} { r3( X, Y, skol22( X, Y ) ) }.
% 0.75/1.18 (2105) {G0,W5,D3,L1,V2,M1} { r2( Y, skol20( Z, Y ) ) }.
% 0.75/1.18 (2106) {G0,W8,D3,L1,V2,M1} { r4( X, skol20( X, Y ), skol14( X, Y ) ) }.
% 0.75/1.18 (2107) {G0,W7,D3,L1,V2,M1} { skol14( X, Y ) = skol6( X, Y ) }.
% 0.75/1.18 (2108) {G0,W8,D3,L1,V2,M1} { r3( skol23( X, Y ), X, skol6( X, Y ) ) }.
% 0.75/1.18 (2109) {G0,W6,D3,L1,V2,M1} { r4( X, Y, skol23( X, Y ) ) }.
% 0.75/1.18 (2110) {G0,W12,D2,L4,V4,M4} { ! r2( X, T ), ! T = Z, ! r2( Y, Z ), X = Y
% 0.75/1.18 }.
% 0.75/1.18 (2111) {G0,W3,D3,L1,V1,M1} { r1( skol15( Y ) ) }.
% 0.75/1.18 (2112) {G0,W6,D3,L1,V1,M1} { r3( X, skol15( X ), skol7( X ) ) }.
% 0.75/1.18 (2113) {G0,W4,D3,L1,V1,M1} { skol7( X ) = X }.
% 0.75/1.18 (2114) {G0,W3,D3,L1,V1,M1} { r1( skol16( Z ) ) }.
% 0.75/1.18 (2115) {G0,W5,D3,L1,V1,M1} { skol8( Y ) = skol16( Y ) }.
% 0.75/1.18 (2116) {G0,W3,D3,L1,V1,M1} { r1( skol21( Y ) ) }.
% 0.75/1.18 (2117) {G0,W6,D3,L1,V1,M1} { r4( X, skol21( X ), skol8( X ) ) }.
% 0.75/1.18 (2118) {G0,W7,D3,L2,V2,M2} { alpha5( X ), r2( skol17( Y ), skol9( Y ) )
% 0.75/1.18 }.
% 0.75/1.18 (2119) {G0,W6,D3,L2,V1,M2} { alpha5( X ), X = skol9( X ) }.
% 0.75/1.18 (2120) {G0,W5,D3,L2,V2,M2} { ! alpha5( X ), r1( skol10( Y ) ) }.
% 0.75/1.18 (2121) {G0,W6,D3,L2,V1,M2} { ! alpha5( X ), X = skol10( X ) }.
% 0.75/1.18 (2122) {G0,W7,D2,L3,V2,M3} { ! r1( Y ), ! X = Y, alpha5( X ) }.
% 0.75/1.18 (2123) {G0,W8,D2,L3,V3,M3} { ! r1( Y ), ! Y = X, ! r2( Z, X ) }.
% 0.75/1.18 (2124) {G0,W5,D3,L2,V2,M2} { alpha6( X ), r1( skol11( Y ) ) }.
% 0.75/1.18 (2125) {G0,W6,D3,L2,V1,M2} { alpha6( X ), X = skol11( X ) }.
% 0.75/1.18 (2126) {G0,W5,D3,L2,V2,M2} { ! alpha6( X ), r1( skol18( Z ) ) }.
% 0.75/1.18 (2127) {G0,W7,D3,L2,V2,M2} { ! alpha6( X ), r2( skol18( Y ), skol12( Y ) )
% 0.75/1.18 }.
% 0.75/1.18 (2128) {G0,W6,D3,L2,V1,M2} { ! alpha6( X ), X = skol12( X ) }.
% 0.75/1.18 (2129) {G0,W10,D2,L4,V3,M4} { ! r1( Z ), ! r2( Z, Y ), ! X = Y, alpha6( X
% 0.75/1.18 ) }.
% 0.75/1.18
% 0.75/1.18
% 0.75/1.18 Total Proof:
% 0.75/1.18
% 0.75/1.18 subsumption: (0) {G0,W5,D2,L2,V1,M2} I { alpha1( skol1, X ), r1( X ) }.
% 0.75/1.18 parent0: (2080) {G0,W5,D2,L2,V1,M2} { alpha1( skol1, X ), r1( X ) }.
% 0.75/1.18 substitution0:
% 0.75/1.18 X := X
% 0.75/1.18 end
% 0.75/1.18 permutation0:
% 0.75/1.18 0 ==> 0
% 0.75/1.18 1 ==> 1
% 0.75/1.18 end
% 0.75/1.18
% 0.75/1.18 subsumption: (1) {G0,W6,D2,L2,V1,M2} I { alpha1( skol1, X ), X = skol1 }.
% 0.75/1.18 parent0: (2081) {G0,W6,D2,L2,V1,M2} { alpha1( skol1, X ), X = skol1 }.
% 0.75/1.18 substitution0:
% 0.75/1.18 X := X
% 0.75/1.18 end
% 0.75/1.18 permutation0:
% 0.75/1.18 0 ==> 0
% 0.75/1.18 1 ==> 1
% 0.75/1.18 end
% 0.75/1.18
% 0.75/1.18 subsumption: (2) {G0,W5,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! r1( Y ) }.
% 0.75/1.18 parent0: (2082) {G0,W5,D2,L2,V2,M2} { ! alpha1( X, Y ), ! r1( Y ) }.
% 0.75/1.18 substitution0:
% 0.75/1.18 X := X
% 0.75/1.18 Y := Y
% 0.75/1.18 end
% 0.75/1.18 permutation0:
% 0.75/1.18 0 ==> 0
% 0.75/1.18 1 ==> 1
% 0.75/1.18 end
% 0.75/1.18
% 0.75/1.18 subsumption: (3) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! Y = X }.
% 0.75/1.18 parent0: (2083) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), ! Y = X }.
% 0.75/1.18 substitution0:
% 0.75/1.18 X := X
% 0.75/1.18 Y := Y
% 0.75/1.18 end
% 0.75/1.18 permutation0:
% 0.75/1.18 0 ==> 0
% 0.75/1.18 1 ==> 1
% 0.75/1.18 end
% 0.75/1.18
% 0.75/1.18 subsumption: (4) {G0,W8,D2,L3,V2,M3} I { r1( Y ), Y = X, alpha1( X, Y ) }.
% 0.75/1.18 parent0: (2084) {G0,W8,D2,L3,V2,M3} { r1( Y ), Y = X, alpha1( X, Y ) }.
% 0.75/1.18 substitution0:
% 0.75/1.18 X := X
% 0.75/1.18 Y := Y
% 0.75/1.18 end
% 0.75/1.18 permutation0:
% 0.75/1.18 0 ==> 0
% 0.75/1.18 1 ==> 1
% 0.75/1.18 2 ==> 2
% 0.75/1.18 end
% 0.75/1.18
% 0.75/1.18 subsumption: (5) {G0,W8,D3,L2,V2,M2} I { alpha2( X, skol2( X ), Y ), r2( X
% 0.75/1.18 , Y ) }.
% 0.75/1.18 parent0: (2085) {G0,W8,D3,L2,V2,M2} { alpha2( X, skol2( X ), Y ), r2( X, Y
% 0.75/1.18 ) }.
% 0.75/1.18 substitution0:
% 0.75/1.18 X := X
% 0.75/1.18 Y := Y
% 0.75/1.18 end
% 0.75/1.18 permutation0:
% 0.75/1.18 0 ==> 0
% 0.75/1.18 1 ==> 1
% 0.75/1.18 end
% 0.75/1.18
% 0.75/1.18 subsumption: (6) {G0,W9,D3,L2,V2,M2} I { alpha2( X, skol2( X ), Y ), Y =
% 0.75/1.18 skol2( X ) }.
% 0.75/1.18 parent0: (2086) {G0,W9,D3,L2,V2,M2} { alpha2( X, skol2( X ), Y ), Y =
% 0.75/1.18 skol2( X ) }.
% 0.75/1.18 substitution0:
% 0.75/1.18 X := X
% 0.75/1.18 Y := Y
% 0.75/1.18 end
% 0.75/1.18 permutation0:
% 0.75/1.18 0 ==> 0
% 0.75/1.18 1 ==> 1
% 0.75/1.18 end
% 0.75/1.18
% 0.75/1.18 subsumption: (7) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), ! r2( X, Z )
% 0.75/1.18 }.
% 0.75/1.18 parent0: (2087) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), ! r2( X, Z )
% 0.75/1.18 }.
% 0.75/1.18 substitution0:
% 0.75/1.18 X := X
% 0.75/1.18 Y := Y
% 0.75/1.18 Z := Z
% 0.75/1.18 end
% 0.75/1.18 permutation0:
% 0.75/1.18 0 ==> 0
% 0.75/1.18 1 ==> 1
% 0.75/1.18 end
% 0.75/1.18
% 0.75/1.18 subsumption: (8) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), ! Z = Y }.
% 0.75/1.18 parent0: (2088) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), ! Z = Y }.
% 0.75/1.18 substitution0:
% 0.75/1.18 X := X
% 0.75/1.18 Y := Y
% 0.75/1.18 Z := Z
% 0.75/1.18 end
% 0.75/1.18 permutation0:
% 0.75/1.18 0 ==> 0
% 0.75/1.18 1 ==> 1
% 0.75/1.18 end
% 0.75/1.18
% 0.75/1.18 subsumption: (20) {G0,W5,D3,L1,V2,M1} I { r2( Y, skol19( Z, Y ) ) }.
% 0.75/1.18 parent0: (2100) {G0,W5,D3,L1,V2,M1} { r2( Y, skol19( Z, Y ) ) }.
% 0.75/1.18 substitution0:
% 0.75/1.18 X := T
% 0.75/1.18 Y := Y
% 0.75/1.18 Z := Z
% 0.75/1.18 end
% 0.75/1.18 permutation0:
% 0.75/1.18 0 ==> 0
% 0.75/1.18 end
% 0.75/1.18
% 0.75/1.18 subsumption: (30) {G0,W12,D2,L4,V4,M4} I { ! r2( X, T ), ! T = Z, ! r2( Y,
% 0.75/1.18 Z ), X = Y }.
% 0.75/1.18 parent0: (2110) {G0,W12,D2,L4,V4,M4} { ! r2( X, T ), ! T = Z, ! r2( Y, Z )
% 0.75/1.18 , X = Y }.
% 0.75/1.18 substitution0:
% 0.75/1.18 X := X
% 0.75/1.18 Y := Y
% 0.75/1.18 Z := Z
% 0.75/1.18 T := T
% 0.75/1.18 end
% 0.75/1.18 permutation0:
% 0.75/1.18 0 ==> 0
% 0.75/1.18 1 ==> 1
% 0.75/1.18 2 ==> 2
% 0.75/1.18 3 ==> 3
% 0.75/1.18 end
% 0.75/1.18
% 0.75/1.18 subsumption: (36) {G0,W3,D3,L1,V1,M1} I { r1( skol21( Y ) ) }.
% 0.75/1.18 parent0: (2116) {G0,W3,D3,L1,V1,M1} { r1( skol21( Y ) ) }.
% 0.75/1.18 substitution0:
% 0.75/1.18 X := Z
% 0.75/1.18 Y := Y
% 0.75/1.18 end
% 0.75/1.18 permutation0:
% 0.75/1.18 0 ==> 0
% 0.75/1.18 end
% 0.75/1.18
% 0.75/1.18 subsumption: (38) {G0,W7,D3,L2,V2,M2} I { alpha5( X ), r2( skol17( Y ),
% 0.75/1.18 skol9( Y ) ) }.
% 0.75/1.18 parent0: (2118) {G0,W7,D3,L2,V2,M2} { alpha5( X ), r2( skol17( Y ), skol9
% 0.75/1.18 ( Y ) ) }.
% 0.75/1.18 substitution0:
% 0.75/1.18 X := X
% 0.75/1.18 Y := Y
% 0.75/1.18 end
% 0.75/1.18 permutation0:
% 0.75/1.18 0 ==> 0
% 0.75/1.18 1 ==> 1
% 0.75/1.18 end
% 0.75/1.18
% 0.75/1.18 subsumption: (40) {G0,W5,D3,L2,V2,M2} I { ! alpha5( X ), r1( skol10( Y ) )
% 0.75/1.18 }.
% 0.75/1.18 parent0: (2120) {G0,W5,D3,L2,V2,M2} { ! alpha5( X ), r1( skol10( Y ) ) }.
% 0.75/1.18 substitution0:
% 0.75/1.18 X := X
% 0.75/1.18 Y := Y
% 0.75/1.18 end
% 0.75/1.18 permutation0:
% 0.75/1.18 0 ==> 0
% 0.75/1.18 1 ==> 1
% 0.75/1.18 end
% 0.75/1.18
% 0.75/1.18 eqswap: (2255) {G0,W6,D3,L2,V1,M2} { skol10( X ) = X, ! alpha5( X ) }.
% 0.75/1.18 parent0[1]: (2121) {G0,W6,D3,L2,V1,M2} { ! alpha5( X ), X = skol10( X )
% 0.75/1.18 }.
% 0.75/1.18 substitution0:
% 0.75/1.18 X := X
% 0.75/1.18 end
% 0.75/1.18
% 0.75/1.18 subsumption: (41) {G0,W6,D3,L2,V1,M2} I { ! alpha5( X ), skol10( X ) ==> X
% 0.75/1.18 }.
% 0.75/1.18 parent0: (2255) {G0,W6,D3,L2,V1,M2} { skol10( X ) = X, ! alpha5( X ) }.
% 0.75/1.18 substitution0:
% 0.75/1.18 X := X
% 0.75/1.18 end
% 0.75/1.18 permutation0:
% 0.75/1.18 0 ==> 1
% 0.75/1.18 1 ==> 0
% 0.75/1.18 end
% 0.75/1.18
% 0.75/1.18 subsumption: (42) {G0,W7,D2,L3,V2,M3} I { ! r1( Y ), ! X = Y, alpha5( X )
% 0.75/1.18 }.
% 0.75/1.18 parent0: (2122) {G0,W7,D2,L3,V2,M3} { ! r1( Y ), ! X = Y, alpha5( X ) }.
% 0.75/1.18 substitution0:
% 0.75/1.18 X := X
% 0.75/1.18 Y := Y
% 0.75/1.18 end
% 0.75/1.18 permutation0:
% 0.75/1.18 0 ==> 0
% 0.75/1.18 1 ==> 1
% 0.75/1.18 2 ==> 2
% 0.75/1.18 end
% 0.75/1.18
% 0.75/1.18 subsumption: (43) {G0,W8,D2,L3,V3,M3} I { ! r1( Y ), ! Y = X, ! r2( Z, X )
% 0.75/1.18 }.
% 0.75/1.18 parent0: (2123) {G0,W8,D2,L3,V3,M3} { ! r1( Y ), ! Y = X, ! r2( Z, X ) }.
% 0.75/1.18 substitution0:
% 0.75/1.18 X := X
% 0.75/1.18 Y := Y
% 0.75/1.18 Z := Z
% 0.75/1.18 end
% 0.75/1.18 permutation0:
% 0.75/1.18 0 ==> 0
% 0.75/1.18 1 ==> 1
% 0.75/1.18 2 ==> 2
% 0.75/1.18 end
% 0.75/1.18
% 0.75/1.18 subsumption: (44) {G0,W5,D3,L2,V2,M2} I { alpha6( X ), r1( skol11( Y ) )
% 0.75/1.18 }.
% 0.75/1.18 parent0: (2124) {G0,W5,D3,L2,V2,M2} { alpha6( X ), r1( skol11( Y ) ) }.
% 0.75/1.18 substitution0:
% 0.75/1.18 X := X
% 0.75/1.18 Y := Y
% 0.75/1.18 end
% 0.75/1.18 permutation0:
% 0.75/1.18 0 ==> 0
% 0.75/1.18 1 ==> 1
% 0.75/1.18 end
% 0.75/1.18
% 0.75/1.18 eqswap: (2343) {G0,W6,D3,L2,V1,M2} { skol11( X ) = X, alpha6( X ) }.
% 0.75/1.18 parent0[1]: (2125) {G0,W6,D3,L2,V1,M2} { alpha6( X ), X = skol11( X ) }.
% 0.75/1.18 substitution0:
% 0.75/1.18 X := X
% 0.75/1.18 end
% 0.75/1.18
% 0.75/1.18 subsumption: (45) {G0,W6,D3,L2,V1,M2} I { alpha6( X ), skol11( X ) ==> X
% 0.75/1.18 }.
% 0.75/1.18 parent0: (2343) {G0,W6,D3,L2,V1,M2} { skol11( X ) = X, alpha6( X ) }.
% 0.75/1.18 substitution0:
% 0.75/1.18 X := X
% 0.75/1.18 end
% 0.75/1.18 permutation0:
% 0.75/1.18 0 ==> 1
% 0.75/1.18 1 ==> 0
% 0.75/1.18 end
% 0.75/1.18
% 0.75/1.18 subsumption: (46) {G0,W5,D3,L2,V2,M2} I { ! alpha6( X ), r1( skol18( Z ) )
% 0.75/1.18 }.
% 0.75/1.18 parent0: (2126) {G0,W5,D3,L2,V2,M2} { ! alpha6( X ), r1( skol18( Z ) ) }.
% 0.75/1.18 substitution0:
% 0.75/1.18 X := X
% 0.75/1.18 Y := T
% 0.75/1.18 Z := Z
% 0.75/1.18 end
% 0.75/1.18 permutation0:
% 0.75/1.18 0 ==> 0
% 0.75/1.18 1 ==> 1
% 0.75/1.18 end
% 0.75/1.18
% 0.75/1.18 subsumption: (47) {G0,W7,D3,L2,V2,M2} I { ! alpha6( X ), r2( skol18( Y ),
% 0.75/1.18 skol12( Y ) ) }.
% 0.75/1.18 parent0: (2127) {G0,W7,D3,L2,V2,M2} { ! alpha6( X ), r2( skol18( Y ),
% 0.75/1.18 skol12( Y ) ) }.
% 0.75/1.18 substitution0:
% 0.75/1.18 X := X
% 0.75/1.18 Y := Y
% 0.75/1.18 end
% 0.75/1.18 permutation0:
% 0.75/1.18 0 ==> 0
% 0.75/1.18 1 ==> 1
% 0.75/1.18 end
% 0.75/1.18
% 0.75/1.18 eqswap: (2413) {G0,W6,D3,L2,V1,M2} { skol12( X ) = X, ! alpha6( X ) }.
% 0.75/1.18 parent0[1]: (2128) {G0,W6,D3,L2,V1,M2} { ! alpha6( X ), X = skol12( X )
% 0.75/1.18 }.
% 0.75/1.18 substitution0:
% 0.75/1.18 X := X
% 0.75/1.18 end
% 0.75/1.18
% 0.75/1.18 subsumption: (48) {G0,W6,D3,L2,V1,M2} I { ! alpha6( X ), skol12( X ) ==> X
% 0.75/1.18 }.
% 0.75/1.18 parent0: (2413) {G0,W6,D3,L2,V1,M2} { skol12( X ) = X, ! alpha6( X ) }.
% 0.75/1.18 substitution0:
% 0.75/1.18 X := X
% 0.75/1.18 end
% 0.75/1.18 permutation0:
% 0.75/1.18 0 ==> 1
% 0.75/1.18 1 ==> 0
% 0.75/1.18 end
% 0.75/1.18
% 0.75/1.18 eqswap: (2414) {G0,W7,D2,L2,V3,M2} { ! Y = X, ! alpha2( Z, Y, X ) }.
% 0.75/1.18 parent0[1]: (8) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), ! Z = Y }.
% 0.75/1.18 substitution0:
% 0.75/1.18 X := Z
% 0.75/1.18 Y := Y
% 0.75/1.18 Z := X
% 0.75/1.18 end
% 0.75/1.18
% 0.75/1.18 eqrefl: (2415) {G0,W4,D2,L1,V2,M1} { ! alpha2( Y, X, X ) }.
% 0.75/1.18 parent0[0]: (2414) {G0,W7,D2,L2,V3,M2} { ! Y = X, ! alpha2( Z, Y, X ) }.
% 0.75/1.18 substitution0:
% 0.75/1.18 X := X
% 0.75/1.18 Y := X
% 0.75/1.18 Z := Y
% 0.75/1.18 end
% 0.75/1.18
% 0.75/1.18 subsumption: (51) {G1,W4,D2,L1,V2,M1} Q(8) { ! alpha2( X, Y, Y ) }.
% 0.75/1.18 parent0: (2415) {G0,W4,D2,L1,V2,M1} { ! alpha2( Y, X, X ) }.
% 0.75/1.18 substitution0:
% 0.75/1.18 X := Y
% 0.75/1.18 Y := X
% 0.75/1.18 end
% 0.75/1.18 permutation0:
% 0.75/1.18 0 ==> 0
% 0.75/1.18 end
% 0.75/1.18
% 0.75/1.18 eqswap: (2416) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! r1( Y ), alpha5( X ) }.
% 0.75/1.18 parent0[1]: (42) {G0,W7,D2,L3,V2,M3} I { ! r1( Y ), ! X = Y, alpha5( X )
% 0.75/1.18 }.
% 0.75/1.18 substitution0:
% 0.75/1.18 X := X
% 0.75/1.18 Y := Y
% 0.75/1.18 end
% 0.75/1.18
% 0.75/1.18 eqrefl: (2417) {G0,W4,D2,L2,V1,M2} { ! r1( X ), alpha5( X ) }.
% 0.75/1.27 parent0[0]: (2416) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! r1( Y ), alpha5( X )
% 0.75/1.27 }.
% 0.75/1.27 substitution0:
% 0.75/1.27 X := X
% 0.75/1.27 Y := X
% 0.75/1.27 end
% 0.75/1.27
% 0.75/1.27 subsumption: (55) {G1,W4,D2,L2,V1,M2} Q(42) { ! r1( X ), alpha5( X ) }.
% 0.75/1.27 parent0: (2417) {G0,W4,D2,L2,V1,M2} { ! r1( X ), alpha5( X ) }.
% 0.75/1.27 substitution0:
% 0.75/1.27 X := X
% 0.75/1.27 end
% 0.75/1.27 permutation0:
% 0.75/1.27 0 ==> 0
% 0.75/1.27 1 ==> 1
% 0.75/1.27 end
% 0.75/1.27
% 0.75/1.27 eqswap: (2418) {G0,W8,D2,L3,V3,M3} { ! Y = X, ! r1( X ), ! r2( Z, Y ) }.
% 0.75/1.27 parent0[1]: (43) {G0,W8,D2,L3,V3,M3} I { ! r1( Y ), ! Y = X, ! r2( Z, X )
% 0.75/1.27 }.
% 0.75/1.27 substitution0:
% 0.75/1.27 X := Y
% 0.75/1.27 Y := X
% 0.75/1.27 Z := Z
% 0.75/1.27 end
% 0.75/1.27
% 0.75/1.27 eqrefl: (2419) {G0,W5,D2,L2,V2,M2} { ! r1( X ), ! r2( Y, X ) }.
% 0.75/1.27 parent0[0]: (2418) {G0,W8,D2,L3,V3,M3} { ! Y = X, ! r1( X ), ! r2( Z, Y )
% 0.75/1.27 }.
% 0.75/1.27 substitution0:
% 0.75/1.27 X := X
% 0.75/1.27 Y := X
% 0.75/1.27 Z := Y
% 0.75/1.27 end
% 0.75/1.27
% 0.75/1.27 subsumption: (56) {G1,W5,D2,L2,V2,M2} Q(43) { ! r1( X ), ! r2( Y, X ) }.
% 0.75/1.27 parent0: (2419) {G0,W5,D2,L2,V2,M2} { ! r1( X ), ! r2( Y, X ) }.
% 0.75/1.27 substitution0:
% 0.75/1.27 X := X
% 0.75/1.27 Y := Y
% 0.75/1.27 end
% 0.75/1.27 permutation0:
% 0.75/1.27 0 ==> 0
% 0.75/1.27 1 ==> 1
% 0.75/1.27 end
% 0.75/1.27
% 0.75/1.27 resolution: (2420) {G1,W3,D3,L1,V1,M1} { alpha5( skol21( X ) ) }.
% 0.75/1.27 parent0[0]: (55) {G1,W4,D2,L2,V1,M2} Q(42) { ! r1( X ), alpha5( X ) }.
% 0.75/1.27 parent1[0]: (36) {G0,W3,D3,L1,V1,M1} I { r1( skol21( Y ) ) }.
% 0.75/1.27 substitution0:
% 0.75/1.27 X := skol21( X )
% 0.75/1.27 end
% 0.75/1.27 substitution1:
% 0.75/1.27 X := Y
% 0.75/1.27 Y := X
% 0.75/1.27 end
% 0.75/1.27
% 0.75/1.27 subsumption: (63) {G2,W3,D3,L1,V1,M1} R(55,36) { alpha5( skol21( X ) ) }.
% 0.75/1.27 parent0: (2420) {G1,W3,D3,L1,V1,M1} { alpha5( skol21( X ) ) }.
% 0.75/1.27 substitution0:
% 0.75/1.27 X := X
% 0.75/1.27 end
% 0.75/1.27 permutation0:
% 0.75/1.27 0 ==> 0
% 0.75/1.27 end
% 0.75/1.27
% 0.75/1.27 eqswap: (2421) {G0,W6,D2,L2,V1,M2} { skol1 = X, alpha1( skol1, X ) }.
% 0.75/1.27 parent0[1]: (1) {G0,W6,D2,L2,V1,M2} I { alpha1( skol1, X ), X = skol1 }.
% 0.75/1.27 substitution0:
% 0.75/1.27 X := X
% 0.75/1.27 end
% 0.75/1.27
% 0.75/1.27 resolution: (2422) {G1,W5,D2,L2,V1,M2} { ! r1( X ), skol1 = X }.
% 0.75/1.27 parent0[0]: (2) {G0,W5,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! r1( Y ) }.
% 0.75/1.27 parent1[1]: (2421) {G0,W6,D2,L2,V1,M2} { skol1 = X, alpha1( skol1, X ) }.
% 0.75/1.27 substitution0:
% 0.75/1.27 X := skol1
% 0.75/1.27 Y := X
% 0.75/1.27 end
% 0.75/1.27 substitution1:
% 0.75/1.27 X := X
% 0.75/1.27 end
% 0.75/1.27
% 0.75/1.27 eqswap: (2423) {G1,W5,D2,L2,V1,M2} { X = skol1, ! r1( X ) }.
% 0.75/1.27 parent0[1]: (2422) {G1,W5,D2,L2,V1,M2} { ! r1( X ), skol1 = X }.
% 0.75/1.27 substitution0:
% 0.75/1.27 X := X
% 0.75/1.27 end
% 0.75/1.27
% 0.75/1.27 subsumption: (65) {G1,W5,D2,L2,V1,M2} R(2,1) { ! r1( X ), X = skol1 }.
% 0.75/1.27 parent0: (2423) {G1,W5,D2,L2,V1,M2} { X = skol1, ! r1( X ) }.
% 0.75/1.27 substitution0:
% 0.75/1.27 X := X
% 0.75/1.27 end
% 0.75/1.27 permutation0:
% 0.75/1.27 0 ==> 1
% 0.75/1.27 1 ==> 0
% 0.75/1.27 end
% 0.75/1.27
% 0.75/1.27 eqswap: (2424) {G0,W6,D2,L2,V2,M2} { ! Y = X, ! alpha1( Y, X ) }.
% 0.75/1.27 parent0[1]: (3) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! Y = X }.
% 0.75/1.27 substitution0:
% 0.75/1.27 X := Y
% 0.75/1.27 Y := X
% 0.75/1.27 end
% 0.75/1.27
% 0.75/1.27 resolution: (2425) {G1,W5,D2,L2,V1,M2} { ! skol1 = X, r1( X ) }.
% 0.75/1.27 parent0[1]: (2424) {G0,W6,D2,L2,V2,M2} { ! Y = X, ! alpha1( Y, X ) }.
% 0.75/1.27 parent1[0]: (0) {G0,W5,D2,L2,V1,M2} I { alpha1( skol1, X ), r1( X ) }.
% 0.75/1.27 substitution0:
% 0.75/1.27 X := X
% 0.75/1.27 Y := skol1
% 0.75/1.27 end
% 0.75/1.27 substitution1:
% 0.75/1.27 X := X
% 0.75/1.27 end
% 0.75/1.27
% 0.75/1.27 eqswap: (2426) {G1,W5,D2,L2,V1,M2} { ! X = skol1, r1( X ) }.
% 0.75/1.27 parent0[0]: (2425) {G1,W5,D2,L2,V1,M2} { ! skol1 = X, r1( X ) }.
% 0.75/1.27 substitution0:
% 0.75/1.27 X := X
% 0.75/1.27 end
% 0.75/1.27
% 0.75/1.27 subsumption: (74) {G1,W5,D2,L2,V1,M2} R(3,0) { ! X = skol1, r1( X ) }.
% 0.75/1.27 parent0: (2426) {G1,W5,D2,L2,V1,M2} { ! X = skol1, r1( X ) }.
% 0.75/1.27 substitution0:
% 0.75/1.27 X := X
% 0.75/1.27 end
% 0.75/1.27 permutation0:
% 0.75/1.27 0 ==> 0
% 0.75/1.27 1 ==> 1
% 0.75/1.27 end
% 0.75/1.27
% 0.75/1.27 resolution: (2427) {G1,W4,D3,L1,V1,M1} { r2( X, skol2( X ) ) }.
% 0.75/1.27 parent0[0]: (51) {G1,W4,D2,L1,V2,M1} Q(8) { ! alpha2( X, Y, Y ) }.
% 0.75/1.27 parent1[0]: (5) {G0,W8,D3,L2,V2,M2} I { alpha2( X, skol2( X ), Y ), r2( X,
% 0.75/1.27 Y ) }.
% 0.75/1.27 substitution0:
% 0.75/1.27 X := X
% 0.75/1.27 Y := skol2( X )
% 0.75/1.27 end
% 0.75/1.27 substitution1:
% 0.75/1.27 X := X
% 0.75/1.27 Y := skol2( X )
% 0.75/1.27 end
% 0.75/1.27
% 0.75/1.27 subsumption: (87) {G2,W4,D3,L1,V1,M1} R(5,51) { r2( X, skol2( X ) ) }.
% 0.75/1.27 parent0: (2427) {G1,W4,D3,L1,V1,M1} { r2( X, skol2( X ) ) }.
% 0.75/1.27 substitution0:
% 0.75/1.27 X := X
% 0.75/1.27 end
% 0.75/1.27 permutation0:
% 0.75/1.27 0 ==> 0
% 0.75/1.27 end
% 0.75/1.27
% 0.75/1.27 resolution: (2428) {G2,W3,D3,L1,V1,M1} { ! r1( skol2( X ) ) }.
% 0.75/1.27 parent0[1]: (56) {G1,W5,D2,L2,V2,M2} Q(43) { ! r1( X ), ! r2( Y, X ) }.
% 0.75/1.27 parent1[0]: (87) {G2,W4,D3,L1,V1,M1} R(5,51) { r2( X, skol2( X ) ) }.
% 0.75/1.27 substitution0:
% 0.75/1.27 X := skol2( X )
% 0.75/1.27 Y := X
% 0.75/1.27 end
% 0.75/1.27 substitution1:
% 0.75/1.27 X := X
% 0.75/1.27 end
% 0.75/1.27
% 0.75/1.27 subsumption: (88) {G3,W3,D3,L1,V1,M1} R(87,56) { ! r1( skol2( X ) ) }.
% 0.75/1.27 parent0: (2428) {G2,W3,D3,L1,V1,M1} { ! r1( skol2( X ) ) }.
% 0.75/1.27 substitution0:
% 0.75/1.27 X := X
% 0.75/1.27 end
% 0.75/1.27 permutation0:
% 0.75/1.27 0 ==> 0
% 0.75/1.27 end
% 0.75/1.27
% 0.75/1.27 *** allocated 50625 inteCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------