TSTP Solution File: SYN352+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN352+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : Thu Jul 21 02:49:57 EDT 2022
% Result : Theorem 0.46s 1.10s
% Output : Refutation 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYN352+1 : TPTP v8.1.0. Released v2.0.0.
% 0.08/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Mon Jul 11 16:41:23 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.46/1.10 *** allocated 10000 integers for termspace/termends
% 0.46/1.10 *** allocated 10000 integers for clauses
% 0.46/1.10 *** allocated 10000 integers for justifications
% 0.46/1.10 Bliksem 1.12
% 0.46/1.10
% 0.46/1.10
% 0.46/1.10 Automatic Strategy Selection
% 0.46/1.10
% 0.46/1.10
% 0.46/1.10 Clauses:
% 0.46/1.10
% 0.46/1.10 { big_f( skol2, skol1 ) }.
% 0.46/1.10 { ! big_f( X, Y ), big_f( skol1, skol3( X, Y ) ), big_f( Y, skol3( X, Y ) )
% 0.46/1.10 }.
% 0.46/1.10 { big_f( X, Y ), big_f( skol3( X, Y ), skol3( X, Y ) ) }.
% 0.46/1.10 { alpha1( skol1, X, skol3( X, Y ) ), big_f( skol3( X, Y ), skol3( X, Y ) )
% 0.46/1.10 }.
% 0.46/1.10 { alpha2( X, Y, skol3( X, Y ) ), big_f( Y, skol3( X, Y ) ) }.
% 0.46/1.10 { alpha2( X, Y, skol3( X, Y ) ), ! big_f( X, skol3( X, Y ) ) }.
% 0.46/1.10 { ! alpha2( X, Y, Z ), ! big_f( X, Y ), big_f( X, Z ) }.
% 0.46/1.10 { ! alpha2( X, Y, Z ), ! big_f( X, Y ), ! big_f( Y, Z ) }.
% 0.46/1.10 { big_f( X, Y ), alpha2( X, Y, Z ) }.
% 0.46/1.10 { ! big_f( X, Z ), big_f( Y, Z ), alpha2( X, Y, Z ) }.
% 0.46/1.10 { ! alpha1( X, Y, Z ), alpha3( X, Y, Z ), big_f( Y, Z ) }.
% 0.46/1.10 { ! alpha1( X, Y, Z ), alpha3( X, Y, Z ), ! big_f( X, Z ) }.
% 0.46/1.10 { ! alpha3( X, Y, Z ), alpha1( X, Y, Z ) }.
% 0.46/1.10 { ! big_f( Y, Z ), big_f( X, Z ), alpha1( X, Y, Z ) }.
% 0.46/1.10 { ! alpha3( X, Y, Z ), big_f( X, Z ) }.
% 0.46/1.10 { ! alpha3( X, Y, Z ), ! big_f( Y, Z ) }.
% 0.46/1.10 { ! big_f( X, Z ), big_f( Y, Z ), alpha3( X, Y, Z ) }.
% 0.46/1.10
% 0.46/1.10 percentage equality = 0.000000, percentage horn = 0.470588
% 0.46/1.10 This a non-horn, non-equality problem
% 0.46/1.10
% 0.46/1.10
% 0.46/1.10 Options Used:
% 0.46/1.10
% 0.46/1.10 useres = 1
% 0.46/1.10 useparamod = 0
% 0.46/1.10 useeqrefl = 0
% 0.46/1.10 useeqfact = 0
% 0.46/1.10 usefactor = 1
% 0.46/1.10 usesimpsplitting = 0
% 0.46/1.10 usesimpdemod = 0
% 0.46/1.10 usesimpres = 3
% 0.46/1.10
% 0.46/1.10 resimpinuse = 1000
% 0.46/1.10 resimpclauses = 20000
% 0.46/1.10 substype = standard
% 0.46/1.10 backwardsubs = 1
% 0.46/1.10 selectoldest = 5
% 0.46/1.10
% 0.46/1.10 litorderings [0] = split
% 0.46/1.10 litorderings [1] = liftord
% 0.46/1.10
% 0.46/1.10 termordering = none
% 0.46/1.10
% 0.46/1.10 litapriori = 1
% 0.46/1.10 termapriori = 0
% 0.46/1.10 litaposteriori = 0
% 0.46/1.10 termaposteriori = 0
% 0.46/1.10 demodaposteriori = 0
% 0.46/1.10 ordereqreflfact = 0
% 0.46/1.10
% 0.46/1.10 litselect = none
% 0.46/1.10
% 0.46/1.10 maxweight = 15
% 0.46/1.10 maxdepth = 30000
% 0.46/1.10 maxlength = 115
% 0.46/1.10 maxnrvars = 195
% 0.46/1.10 excuselevel = 1
% 0.46/1.10 increasemaxweight = 1
% 0.46/1.10
% 0.46/1.10 maxselected = 10000000
% 0.46/1.10 maxnrclauses = 10000000
% 0.46/1.10
% 0.46/1.10 showgenerated = 0
% 0.46/1.10 showkept = 0
% 0.46/1.10 showselected = 0
% 0.46/1.10 showdeleted = 0
% 0.46/1.10 showresimp = 1
% 0.46/1.10 showstatus = 2000
% 0.46/1.10
% 0.46/1.10 prologoutput = 0
% 0.46/1.10 nrgoals = 5000000
% 0.46/1.10 totalproof = 1
% 0.46/1.10
% 0.46/1.10 Symbols occurring in the translation:
% 0.46/1.10
% 0.46/1.10 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.46/1.10 . [1, 2] (w:1, o:18, a:1, s:1, b:0),
% 0.46/1.10 ! [4, 1] (w:0, o:13, a:1, s:1, b:0),
% 0.46/1.10 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.46/1.10 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.46/1.10 big_f [40, 2] (w:1, o:42, a:1, s:1, b:0),
% 0.46/1.10 alpha1 [41, 3] (w:1, o:44, a:1, s:1, b:0),
% 0.46/1.10 alpha2 [42, 3] (w:1, o:45, a:1, s:1, b:0),
% 0.46/1.10 alpha3 [43, 3] (w:1, o:46, a:1, s:1, b:0),
% 0.46/1.10 skol1 [44, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.46/1.10 skol2 [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.46/1.10 skol3 [46, 2] (w:1, o:43, a:1, s:1, b:0).
% 0.46/1.10
% 0.46/1.10
% 0.46/1.10 Starting Search:
% 0.46/1.10
% 0.46/1.10
% 0.46/1.10 Bliksems!, er is een bewijs:
% 0.46/1.10 % SZS status Theorem
% 0.46/1.10 % SZS output start Refutation
% 0.46/1.10
% 0.46/1.10 (3) {G0,W13,D3,L2,V2,M1} I { big_f( skol3( X, Y ), skol3( X, Y ) ), alpha1
% 0.46/1.10 ( skol1, X, skol3( X, Y ) ) }.
% 0.46/1.10 (4) {G0,W11,D3,L2,V2,M1} I { big_f( Y, skol3( X, Y ) ), alpha2( X, Y, skol3
% 0.46/1.10 ( X, Y ) ) }.
% 0.46/1.10 (5) {G0,W11,D3,L2,V2,M1} I { ! big_f( X, skol3( X, Y ) ), alpha2( X, Y,
% 0.46/1.10 skol3( X, Y ) ) }.
% 0.46/1.10 (6) {G0,W10,D2,L3,V3,M1} I { ! big_f( X, Y ), big_f( X, Z ), ! alpha2( X, Y
% 0.46/1.10 , Z ) }.
% 0.46/1.10 (7) {G0,W10,D2,L3,V3,M1} I { ! big_f( X, Y ), ! big_f( Y, Z ), ! alpha2( X
% 0.46/1.10 , Y, Z ) }.
% 0.46/1.10 (10) {G0,W11,D2,L3,V3,M1} I { ! alpha1( X, Y, Z ), big_f( Y, Z ), alpha3( X
% 0.46/1.10 , Y, Z ) }.
% 0.46/1.10 (11) {G0,W11,D2,L3,V3,M1} I { ! alpha1( X, Y, Z ), ! big_f( X, Z ), alpha3
% 0.46/1.10 ( X, Y, Z ) }.
% 0.46/1.10 (14) {G0,W7,D2,L2,V3,M1} I { big_f( X, Z ), ! alpha3( X, Y, Z ) }.
% 0.46/1.10 (15) {G0,W7,D2,L2,V3,M1} I { ! big_f( Y, Z ), ! alpha3( X, Y, Z ) }.
% 0.46/1.10 (26) {G1,W10,D2,L3,V3,M1} R(11,15) { ! big_f( X, Z ), ! big_f( Y, Z ), !
% 0.46/1.10 alpha1( X, Y, Z ) }.
% 0.46/1.10 (27) {G2,W7,D2,L2,V2,M1} F(26) { ! big_f( X, Y ), ! alpha1( X, X, Y ) }.
% 0.46/1.10 (29) {G1,W13,D3,L3,V2,M3} R(4,6) { ! big_f( Y, X ), big_f( Y, skol3( Y, X )
% 0.46/1.10 ), big_f( X, skol3( Y, X ) ) }.
% 0.46/1.10 (30) {G2,W8,D3,L2,V1,M2} F(29) { big_f( X, skol3( X, X ) ), ! big_f( X, X )
% 0.46/1.10 }.
% 0.46/1.10 (33) {G1,W10,D2,L3,V3,M1} R(10,14) { big_f( Y, Z ), big_f( X, Z ), ! alpha1
% 0.46/1.10 ( X, Y, Z ) }.
% 0.46/1.10 (34) {G3,W4,D2,L1,V2,M1} F(33);r(27) { ! alpha1( X, X, Y ) }.
% 0.46/1.10 (35) {G4,W7,D3,L1,V1,M1} R(34,3) { big_f( skol3( skol1, X ), skol3( skol1,
% 0.46/1.10 X ) ) }.
% 0.46/1.10 (37) {G1,W13,D3,L3,V2,M3} R(5,7) { ! big_f( X, Y ), ! big_f( Y, skol3( X, Y
% 0.46/1.10 ) ), ! big_f( X, skol3( X, Y ) ) }.
% 0.46/1.10 (38) {G3,W3,D2,L1,V1,M1} F(37);r(30) { ! big_f( X, X ) }.
% 0.46/1.10 (39) {G5,W0,D0,L0,V0,M0} R(38,35) { }.
% 0.46/1.10
% 0.46/1.10
% 0.46/1.10 % SZS output end Refutation
% 0.46/1.10 found a proof!
% 0.46/1.10
% 0.46/1.10
% 0.46/1.10 Unprocessed initial clauses:
% 0.46/1.10
% 0.46/1.10 (41) {G0,W3,D2,L1,V0,M1} { big_f( skol2, skol1 ) }.
% 0.46/1.10 (42) {G0,W13,D3,L3,V2,M3} { ! big_f( X, Y ), big_f( skol1, skol3( X, Y ) )
% 0.46/1.10 , big_f( Y, skol3( X, Y ) ) }.
% 0.46/1.10 (43) {G0,W10,D3,L2,V2,M2} { big_f( X, Y ), big_f( skol3( X, Y ), skol3( X
% 0.46/1.10 , Y ) ) }.
% 0.46/1.10 (44) {G0,W13,D3,L2,V2,M2} { alpha1( skol1, X, skol3( X, Y ) ), big_f(
% 0.46/1.10 skol3( X, Y ), skol3( X, Y ) ) }.
% 0.46/1.10 (45) {G0,W11,D3,L2,V2,M2} { alpha2( X, Y, skol3( X, Y ) ), big_f( Y, skol3
% 0.46/1.10 ( X, Y ) ) }.
% 0.46/1.10 (46) {G0,W11,D3,L2,V2,M2} { alpha2( X, Y, skol3( X, Y ) ), ! big_f( X,
% 0.46/1.10 skol3( X, Y ) ) }.
% 0.46/1.10 (47) {G0,W10,D2,L3,V3,M3} { ! alpha2( X, Y, Z ), ! big_f( X, Y ), big_f( X
% 0.46/1.10 , Z ) }.
% 0.46/1.10 (48) {G0,W10,D2,L3,V3,M3} { ! alpha2( X, Y, Z ), ! big_f( X, Y ), ! big_f
% 0.46/1.10 ( Y, Z ) }.
% 0.46/1.10 (49) {G0,W7,D2,L2,V3,M2} { big_f( X, Y ), alpha2( X, Y, Z ) }.
% 0.46/1.10 (50) {G0,W10,D2,L3,V3,M3} { ! big_f( X, Z ), big_f( Y, Z ), alpha2( X, Y,
% 0.46/1.10 Z ) }.
% 0.46/1.10 (51) {G0,W11,D2,L3,V3,M3} { ! alpha1( X, Y, Z ), alpha3( X, Y, Z ), big_f
% 0.46/1.10 ( Y, Z ) }.
% 0.46/1.10 (52) {G0,W11,D2,L3,V3,M3} { ! alpha1( X, Y, Z ), alpha3( X, Y, Z ), !
% 0.46/1.10 big_f( X, Z ) }.
% 0.46/1.10 (53) {G0,W8,D2,L2,V3,M2} { ! alpha3( X, Y, Z ), alpha1( X, Y, Z ) }.
% 0.46/1.10 (54) {G0,W10,D2,L3,V3,M3} { ! big_f( Y, Z ), big_f( X, Z ), alpha1( X, Y,
% 0.46/1.10 Z ) }.
% 0.46/1.10 (55) {G0,W7,D2,L2,V3,M2} { ! alpha3( X, Y, Z ), big_f( X, Z ) }.
% 0.46/1.10 (56) {G0,W7,D2,L2,V3,M2} { ! alpha3( X, Y, Z ), ! big_f( Y, Z ) }.
% 0.46/1.10 (57) {G0,W10,D2,L3,V3,M3} { ! big_f( X, Z ), big_f( Y, Z ), alpha3( X, Y,
% 0.46/1.10 Z ) }.
% 0.46/1.10
% 0.46/1.10
% 0.46/1.10 Total Proof:
% 0.46/1.10
% 0.46/1.10 subsumption: (3) {G0,W13,D3,L2,V2,M1} I { big_f( skol3( X, Y ), skol3( X, Y
% 0.46/1.10 ) ), alpha1( skol1, X, skol3( X, Y ) ) }.
% 0.46/1.10 parent0: (44) {G0,W13,D3,L2,V2,M2} { alpha1( skol1, X, skol3( X, Y ) ),
% 0.46/1.10 big_f( skol3( X, Y ), skol3( X, Y ) ) }.
% 0.46/1.10 substitution0:
% 0.46/1.10 X := X
% 0.46/1.10 Y := Y
% 0.46/1.10 end
% 0.46/1.10 permutation0:
% 0.46/1.10 0 ==> 1
% 0.46/1.10 1 ==> 0
% 0.46/1.10 end
% 0.46/1.10
% 0.46/1.10 subsumption: (4) {G0,W11,D3,L2,V2,M1} I { big_f( Y, skol3( X, Y ) ), alpha2
% 0.46/1.10 ( X, Y, skol3( X, Y ) ) }.
% 0.46/1.10 parent0: (45) {G0,W11,D3,L2,V2,M2} { alpha2( X, Y, skol3( X, Y ) ), big_f
% 0.46/1.10 ( Y, skol3( X, Y ) ) }.
% 0.46/1.10 substitution0:
% 0.46/1.10 X := X
% 0.46/1.10 Y := Y
% 0.46/1.10 end
% 0.46/1.10 permutation0:
% 0.46/1.10 0 ==> 1
% 0.46/1.10 1 ==> 0
% 0.46/1.10 end
% 0.46/1.10
% 0.46/1.10 subsumption: (5) {G0,W11,D3,L2,V2,M1} I { ! big_f( X, skol3( X, Y ) ),
% 0.46/1.10 alpha2( X, Y, skol3( X, Y ) ) }.
% 0.46/1.10 parent0: (46) {G0,W11,D3,L2,V2,M2} { alpha2( X, Y, skol3( X, Y ) ), !
% 0.46/1.10 big_f( X, skol3( X, Y ) ) }.
% 0.46/1.10 substitution0:
% 0.46/1.10 X := X
% 0.46/1.10 Y := Y
% 0.46/1.10 end
% 0.46/1.10 permutation0:
% 0.46/1.10 0 ==> 1
% 0.46/1.10 1 ==> 0
% 0.46/1.10 end
% 0.46/1.10
% 0.46/1.10 subsumption: (6) {G0,W10,D2,L3,V3,M1} I { ! big_f( X, Y ), big_f( X, Z ), !
% 0.46/1.10 alpha2( X, Y, Z ) }.
% 0.46/1.10 parent0: (47) {G0,W10,D2,L3,V3,M3} { ! alpha2( X, Y, Z ), ! big_f( X, Y )
% 0.46/1.10 , big_f( X, Z ) }.
% 0.46/1.10 substitution0:
% 0.46/1.10 X := X
% 0.46/1.10 Y := Y
% 0.46/1.10 Z := Z
% 0.46/1.10 end
% 0.46/1.10 permutation0:
% 0.46/1.10 0 ==> 2
% 0.46/1.10 1 ==> 0
% 0.46/1.10 2 ==> 1
% 0.46/1.10 end
% 0.46/1.10
% 0.46/1.10 subsumption: (7) {G0,W10,D2,L3,V3,M1} I { ! big_f( X, Y ), ! big_f( Y, Z )
% 0.46/1.10 , ! alpha2( X, Y, Z ) }.
% 0.46/1.10 parent0: (48) {G0,W10,D2,L3,V3,M3} { ! alpha2( X, Y, Z ), ! big_f( X, Y )
% 0.46/1.10 , ! big_f( Y, Z ) }.
% 0.46/1.10 substitution0:
% 0.46/1.10 X := X
% 0.46/1.10 Y := Y
% 0.46/1.10 Z := Z
% 0.46/1.10 end
% 0.46/1.10 permutation0:
% 0.46/1.10 0 ==> 2
% 0.46/1.10 1 ==> 0
% 0.46/1.10 2 ==> 1
% 0.46/1.10 end
% 0.46/1.10
% 0.46/1.10 subsumption: (10) {G0,W11,D2,L3,V3,M1} I { ! alpha1( X, Y, Z ), big_f( Y, Z
% 0.46/1.10 ), alpha3( X, Y, Z ) }.
% 0.46/1.10 parent0: (51) {G0,W11,D2,L3,V3,M3} { ! alpha1( X, Y, Z ), alpha3( X, Y, Z
% 0.46/1.10 ), big_f( Y, Z ) }.
% 0.46/1.10 substitution0:
% 0.46/1.10 X := X
% 0.46/1.10 Y := Y
% 0.46/1.10 Z := Z
% 0.46/1.10 end
% 0.46/1.10 permutation0:
% 0.46/1.10 0 ==> 0
% 0.46/1.10 1 ==> 2
% 0.46/1.10 2 ==> 1
% 0.46/1.10 end
% 0.46/1.10
% 0.46/1.10 subsumption: (11) {G0,W11,D2,L3,V3,M1} I { ! alpha1( X, Y, Z ), ! big_f( X
% 0.46/1.10 , Z ), alpha3( X, Y, Z ) }.
% 0.46/1.10 parent0: (52) {G0,W11,D2,L3,V3,M3} { ! alpha1( X, Y, Z ), alpha3( X, Y, Z
% 0.46/1.10 ), ! big_f( X, Z ) }.
% 0.46/1.10 substitution0:
% 0.46/1.10 X := X
% 0.46/1.10 Y := Y
% 0.46/1.10 Z := Z
% 0.46/1.10 end
% 0.46/1.10 permutation0:
% 0.46/1.10 0 ==> 0
% 0.46/1.10 1 ==> 2
% 0.46/1.10 2 ==> 1
% 0.46/1.10 end
% 0.46/1.10
% 0.46/1.10 subsumption: (14) {G0,W7,D2,L2,V3,M1} I { big_f( X, Z ), ! alpha3( X, Y, Z
% 0.46/1.10 ) }.
% 0.46/1.10 parent0: (55) {G0,W7,D2,L2,V3,M2} { ! alpha3( X, Y, Z ), big_f( X, Z ) }.
% 0.46/1.10 substitution0:
% 0.46/1.10 X := X
% 0.46/1.10 Y := Y
% 0.46/1.10 Z := Z
% 0.46/1.10 end
% 0.46/1.10 permutation0:
% 0.46/1.10 0 ==> 1
% 0.46/1.10 1 ==> 0
% 0.46/1.10 end
% 0.46/1.10
% 0.46/1.10 subsumption: (15) {G0,W7,D2,L2,V3,M1} I { ! big_f( Y, Z ), ! alpha3( X, Y,
% 0.46/1.10 Z ) }.
% 0.46/1.10 parent0: (56) {G0,W7,D2,L2,V3,M2} { ! alpha3( X, Y, Z ), ! big_f( Y, Z )
% 0.46/1.10 }.
% 0.46/1.10 substitution0:
% 0.46/1.10 X := X
% 0.46/1.10 Y := Y
% 0.46/1.10 Z := Z
% 0.46/1.10 end
% 0.46/1.10 permutation0:
% 0.46/1.10 0 ==> 1
% 0.46/1.10 1 ==> 0
% 0.46/1.10 end
% 0.46/1.10
% 0.46/1.10 resolution: (72) {G1,W10,D2,L3,V3,M3} { ! big_f( X, Y ), ! alpha1( Z, X, Y
% 0.46/1.10 ), ! big_f( Z, Y ) }.
% 0.46/1.10 parent0[1]: (15) {G0,W7,D2,L2,V3,M1} I { ! big_f( Y, Z ), ! alpha3( X, Y, Z
% 0.46/1.10 ) }.
% 0.46/1.10 parent1[2]: (11) {G0,W11,D2,L3,V3,M1} I { ! alpha1( X, Y, Z ), ! big_f( X,
% 0.46/1.10 Z ), alpha3( X, Y, Z ) }.
% 0.46/1.10 substitution0:
% 0.46/1.10 X := Z
% 0.46/1.10 Y := X
% 0.46/1.10 Z := Y
% 0.46/1.10 end
% 0.46/1.10 substitution1:
% 0.46/1.10 X := Z
% 0.46/1.10 Y := X
% 0.46/1.10 Z := Y
% 0.46/1.10 end
% 0.46/1.10
% 0.46/1.10 subsumption: (26) {G1,W10,D2,L3,V3,M1} R(11,15) { ! big_f( X, Z ), ! big_f
% 0.46/1.10 ( Y, Z ), ! alpha1( X, Y, Z ) }.
% 0.46/1.10 parent0: (72) {G1,W10,D2,L3,V3,M3} { ! big_f( X, Y ), ! alpha1( Z, X, Y )
% 0.46/1.10 , ! big_f( Z, Y ) }.
% 0.46/1.10 substitution0:
% 0.46/1.10 X := Y
% 0.46/1.10 Y := Z
% 0.46/1.10 Z := X
% 0.46/1.10 end
% 0.46/1.10 permutation0:
% 0.46/1.10 0 ==> 1
% 0.46/1.10 1 ==> 2
% 0.46/1.10 2 ==> 0
% 0.46/1.10 end
% 0.46/1.10
% 0.46/1.10 factor: (74) {G1,W7,D2,L2,V2,M2} { ! big_f( X, Y ), ! alpha1( X, X, Y )
% 0.46/1.10 }.
% 0.46/1.10 parent0[0, 1]: (26) {G1,W10,D2,L3,V3,M1} R(11,15) { ! big_f( X, Z ), !
% 0.46/1.10 big_f( Y, Z ), ! alpha1( X, Y, Z ) }.
% 0.46/1.10 substitution0:
% 0.46/1.10 X := X
% 0.46/1.10 Y := X
% 0.46/1.10 Z := Y
% 0.46/1.10 end
% 0.46/1.10
% 0.46/1.10 subsumption: (27) {G2,W7,D2,L2,V2,M1} F(26) { ! big_f( X, Y ), ! alpha1( X
% 0.46/1.10 , X, Y ) }.
% 0.46/1.10 parent0: (74) {G1,W7,D2,L2,V2,M2} { ! big_f( X, Y ), ! alpha1( X, X, Y )
% 0.46/1.10 }.
% 0.46/1.10 substitution0:
% 0.46/1.10 X := X
% 0.46/1.10 Y := Y
% 0.46/1.10 end
% 0.46/1.10 permutation0:
% 0.46/1.10 0 ==> 0
% 0.46/1.10 1 ==> 1
% 0.46/1.10 end
% 0.46/1.10
% 0.46/1.10 resolution: (76) {G1,W13,D3,L3,V2,M3} { ! big_f( X, Y ), big_f( X, skol3(
% 0.46/1.10 X, Y ) ), big_f( Y, skol3( X, Y ) ) }.
% 0.46/1.10 parent0[2]: (6) {G0,W10,D2,L3,V3,M1} I { ! big_f( X, Y ), big_f( X, Z ), !
% 0.46/1.10 alpha2( X, Y, Z ) }.
% 0.46/1.10 parent1[1]: (4) {G0,W11,D3,L2,V2,M1} I { big_f( Y, skol3( X, Y ) ), alpha2
% 0.46/1.10 ( X, Y, skol3( X, Y ) ) }.
% 0.46/1.10 substitution0:
% 0.46/1.10 X := X
% 0.46/1.10 Y := Y
% 0.46/1.10 Z := skol3( X, Y )
% 0.46/1.10 end
% 0.46/1.10 substitution1:
% 0.46/1.10 X := X
% 0.46/1.10 Y := Y
% 0.46/1.10 end
% 0.46/1.10
% 0.46/1.10 subsumption: (29) {G1,W13,D3,L3,V2,M3} R(4,6) { ! big_f( Y, X ), big_f( Y,
% 0.46/1.10 skol3( Y, X ) ), big_f( X, skol3( Y, X ) ) }.
% 0.46/1.10 parent0: (76) {G1,W13,D3,L3,V2,M3} { ! big_f( X, Y ), big_f( X, skol3( X,
% 0.46/1.10 Y ) ), big_f( Y, skol3( X, Y ) ) }.
% 0.46/1.10 substitution0:
% 0.46/1.10 X := Y
% 0.46/1.10 Y := X
% 0.46/1.10 end
% 0.46/1.10 permutation0:
% 0.46/1.10 0 ==> 0
% 0.46/1.10 1 ==> 1
% 0.46/1.10 2 ==> 2
% 0.46/1.10 end
% 0.46/1.10
% 0.46/1.10 factor: (78) {G1,W8,D3,L2,V1,M2} { ! big_f( X, X ), big_f( X, skol3( X, X
% 0.46/1.10 ) ) }.
% 0.46/1.10 parent0[1, 2]: (29) {G1,W13,D3,L3,V2,M3} R(4,6) { ! big_f( Y, X ), big_f( Y
% 0.46/1.10 , skol3( Y, X ) ), big_f( X, skol3( Y, X ) ) }.
% 0.46/1.10 substitution0:
% 0.46/1.10 X := X
% 0.46/1.10 Y := X
% 0.46/1.10 end
% 0.46/1.10
% 0.46/1.10 subsumption: (30) {G2,W8,D3,L2,V1,M2} F(29) { big_f( X, skol3( X, X ) ), !
% 0.46/1.10 big_f( X, X ) }.
% 0.46/1.10 parent0: (78) {G1,W8,D3,L2,V1,M2} { ! big_f( X, X ), big_f( X, skol3( X, X
% 0.46/1.10 ) ) }.
% 0.46/1.10 substitution0:
% 0.46/1.10 X := X
% 0.46/1.10 end
% 0.46/1.10 permutation0:
% 0.46/1.10 0 ==> 1
% 0.46/1.10 1 ==> 0
% 0.46/1.10 end
% 0.46/1.10
% 0.46/1.10 resolution: (79) {G1,W10,D2,L3,V3,M3} { big_f( X, Y ), ! alpha1( X, Z, Y )
% 0.46/1.10 , big_f( Z, Y ) }.
% 0.46/1.10 parent0[1]: (14) {G0,W7,D2,L2,V3,M1} I { big_f( X, Z ), ! alpha3( X, Y, Z )
% 0.46/1.10 }.
% 0.46/1.10 parent1[2]: (10) {G0,W11,D2,L3,V3,M1} I { ! alpha1( X, Y, Z ), big_f( Y, Z
% 0.46/1.10 ), alpha3( X, Y, Z ) }.
% 0.46/1.10 substitution0:
% 0.46/1.10 X := X
% 0.46/1.10 Y := Z
% 0.46/1.10 Z := Y
% 0.46/1.10 end
% 0.46/1.10 substitution1:
% 0.46/1.10 X := X
% 0.46/1.10 Y := Z
% 0.46/1.10 Z := Y
% 0.46/1.10 end
% 0.46/1.10
% 0.46/1.10 subsumption: (33) {G1,W10,D2,L3,V3,M1} R(10,14) { big_f( Y, Z ), big_f( X,
% 0.46/1.10 Z ), ! alpha1( X, Y, Z ) }.
% 0.46/1.10 parent0: (79) {G1,W10,D2,L3,V3,M3} { big_f( X, Y ), ! alpha1( X, Z, Y ),
% 0.46/1.10 big_f( Z, Y ) }.
% 0.46/1.10 substitution0:
% 0.46/1.10 X := X
% 0.46/1.10 Y := Z
% 0.46/1.10 Z := Y
% 0.46/1.10 end
% 0.46/1.10 permutation0:
% 0.46/1.10 0 ==> 1
% 0.46/1.10 1 ==> 2
% 0.46/1.10 2 ==> 0
% 0.46/1.10 end
% 0.46/1.10
% 0.46/1.10 factor: (81) {G1,W7,D2,L2,V2,M2} { big_f( X, Y ), ! alpha1( X, X, Y ) }.
% 0.46/1.10 parent0[0, 1]: (33) {G1,W10,D2,L3,V3,M1} R(10,14) { big_f( Y, Z ), big_f( X
% 0.46/1.10 , Z ), ! alpha1( X, Y, Z ) }.
% 0.46/1.10 substitution0:
% 0.46/1.10 X := X
% 0.46/1.10 Y := X
% 0.46/1.10 Z := Y
% 0.46/1.10 end
% 0.46/1.10
% 0.46/1.10 resolution: (82) {G2,W8,D2,L2,V2,M2} { ! alpha1( X, X, Y ), ! alpha1( X, X
% 0.46/1.10 , Y ) }.
% 0.46/1.10 parent0[0]: (27) {G2,W7,D2,L2,V2,M1} F(26) { ! big_f( X, Y ), ! alpha1( X,
% 0.46/1.10 X, Y ) }.
% 0.46/1.10 parent1[0]: (81) {G1,W7,D2,L2,V2,M2} { big_f( X, Y ), ! alpha1( X, X, Y )
% 0.46/1.10 }.
% 0.46/1.10 substitution0:
% 0.46/1.10 X := X
% 0.46/1.10 Y := Y
% 0.46/1.10 end
% 0.46/1.10 substitution1:
% 0.46/1.10 X := X
% 0.46/1.10 Y := Y
% 0.46/1.10 end
% 0.46/1.10
% 0.46/1.10 factor: (83) {G2,W4,D2,L1,V2,M1} { ! alpha1( X, X, Y ) }.
% 0.46/1.10 parent0[0, 1]: (82) {G2,W8,D2,L2,V2,M2} { ! alpha1( X, X, Y ), ! alpha1( X
% 0.46/1.10 , X, Y ) }.
% 0.46/1.10 substitution0:
% 0.46/1.10 X := X
% 0.46/1.10 Y := Y
% 0.46/1.10 end
% 0.46/1.10
% 0.46/1.10 subsumption: (34) {G3,W4,D2,L1,V2,M1} F(33);r(27) { ! alpha1( X, X, Y ) }.
% 0.46/1.10 parent0: (83) {G2,W4,D2,L1,V2,M1} { ! alpha1( X, X, Y ) }.
% 0.46/1.10 substitution0:
% 0.46/1.10 X := X
% 0.46/1.10 Y := Y
% 0.46/1.10 end
% 0.46/1.10 permutation0:
% 0.46/1.10 0 ==> 0
% 0.46/1.10 end
% 0.46/1.10
% 0.46/1.10 resolution: (84) {G1,W7,D3,L1,V1,M1} { big_f( skol3( skol1, X ), skol3(
% 0.46/1.10 skol1, X ) ) }.
% 0.46/1.10 parent0[0]: (34) {G3,W4,D2,L1,V2,M1} F(33);r(27) { ! alpha1( X, X, Y ) }.
% 0.46/1.10 parent1[1]: (3) {G0,W13,D3,L2,V2,M1} I { big_f( skol3( X, Y ), skol3( X, Y
% 0.46/1.10 ) ), alpha1( skol1, X, skol3( X, Y ) ) }.
% 0.46/1.10 substitution0:
% 0.46/1.10 X := skol1
% 0.46/1.10 Y := skol3( skol1, X )
% 0.46/1.10 end
% 0.46/1.10 substitution1:
% 0.46/1.10 X := skol1
% 0.46/1.10 Y := X
% 0.46/1.10 end
% 0.46/1.10
% 0.46/1.10 subsumption: (35) {G4,W7,D3,L1,V1,M1} R(34,3) { big_f( skol3( skol1, X ),
% 0.46/1.10 skol3( skol1, X ) ) }.
% 0.46/1.10 parent0: (84) {G1,W7,D3,L1,V1,M1} { big_f( skol3( skol1, X ), skol3( skol1
% 0.46/1.10 , X ) ) }.
% 0.46/1.10 substitution0:
% 0.46/1.10 X := X
% 0.46/1.10 end
% 0.46/1.10 permutation0:
% 0.46/1.10 0 ==> 0
% 0.46/1.10 end
% 0.46/1.10
% 0.46/1.10 resolution: (85) {G1,W13,D3,L3,V2,M3} { ! big_f( X, Y ), ! big_f( Y, skol3
% 0.46/1.10 ( X, Y ) ), ! big_f( X, skol3( X, Y ) ) }.
% 0.46/1.10 parent0[2]: (7) {G0,W10,D2,L3,V3,M1} I { ! big_f( X, Y ), ! big_f( Y, Z ),
% 0.46/1.10 ! alpha2( X, Y, Z ) }.
% 0.46/1.10 parent1[1]: (5) {G0,W11,D3,L2,V2,M1} I { ! big_f( X, skol3( X, Y ) ),
% 0.46/1.10 alpha2( X, Y, skol3( X, Y ) ) }.
% 0.46/1.10 substitution0:
% 0.46/1.10 X := X
% 0.46/1.10 Y := Y
% 0.46/1.10 Z := skol3( X, Y )
% 0.46/1.10 end
% 0.46/1.10 substitution1:
% 0.46/1.10 X := X
% 0.46/1.10 Y := Y
% 0.46/1.10 end
% 0.46/1.10
% 0.46/1.10 subsumption: (37) {G1,W13,D3,L3,V2,M3} R(5,7) { ! big_f( X, Y ), ! big_f( Y
% 0.46/1.10 , skol3( X, Y ) ), ! big_f( X, skol3( X, Y ) ) }.
% 0.46/1.10 parent0: (85) {G1,W13,D3,L3,V2,M3} { ! big_f( X, Y ), ! big_f( Y, skol3( X
% 0.46/1.10 , Y ) ), ! big_f( X, skol3( X, Y ) ) }.
% 0.46/1.10 substitution0:
% 0.46/1.10 X := X
% 0.46/1.10 Y := Y
% 0.46/1.10 end
% 0.46/1.10 permutation0:
% 0.46/1.10 0 ==> 0
% 0.46/1.10 1 ==> 1
% 0.46/1.10 2 ==> 2
% 0.46/1.10 end
% 0.46/1.10
% 0.46/1.10 factor: (87) {G1,W8,D3,L2,V1,M2} { ! big_f( X, X ), ! big_f( X, skol3( X,
% 0.46/1.10 X ) ) }.
% 0.46/1.10 parent0[1, 2]: (37) {G1,W13,D3,L3,V2,M3} R(5,7) { ! big_f( X, Y ), ! big_f
% 0.46/1.10 ( Y, skol3( X, Y ) ), ! big_f( X, skol3( X, Y ) ) }.
% 0.46/1.10 substitution0:
% 0.46/1.10 X := X
% 0.46/1.10 Y := X
% 0.46/1.10 end
% 0.46/1.10
% 0.46/1.10 resolution: (88) {G2,W6,D2,L2,V1,M2} { ! big_f( X, X ), ! big_f( X, X )
% 0.46/1.10 }.
% 0.46/1.10 parent0[1]: (87) {G1,W8,D3,L2,V1,M2} { ! big_f( X, X ), ! big_f( X, skol3
% 0.46/1.10 ( X, X ) ) }.
% 0.46/1.10 parent1[0]: (30) {G2,W8,D3,L2,V1,M2} F(29) { big_f( X, skol3( X, X ) ), !
% 0.46/1.10 big_f( X, X ) }.
% 0.46/1.10 substitution0:
% 0.46/1.10 X := X
% 0.46/1.10 end
% 0.46/1.10 substitution1:
% 0.46/1.10 X := X
% 0.46/1.10 end
% 0.46/1.10
% 0.46/1.10 factor: (89) {G2,W3,D2,L1,V1,M1} { ! big_f( X, X ) }.
% 0.46/1.10 parent0[0, 1]: (88) {G2,W6,D2,L2,V1,M2} { ! big_f( X, X ), ! big_f( X, X )
% 0.46/1.10 }.
% 0.46/1.10 substitution0:
% 0.46/1.10 X := X
% 0.46/1.10 end
% 0.46/1.10
% 0.46/1.10 subsumption: (38) {G3,W3,D2,L1,V1,M1} F(37);r(30) { ! big_f( X, X ) }.
% 0.46/1.10 parent0: (89) {G2,W3,D2,L1,V1,M1} { ! big_f( X, X ) }.
% 0.46/1.10 substitution0:
% 0.46/1.10 X := X
% 0.46/1.10 end
% 0.46/1.10 permutation0:
% 0.46/1.10 0 ==> 0
% 0.46/1.10 end
% 0.46/1.10
% 0.46/1.10 resolution: (90) {G4,W0,D0,L0,V0,M0} { }.
% 0.46/1.10 parent0[0]: (38) {G3,W3,D2,L1,V1,M1} F(37);r(30) { ! big_f( X, X ) }.
% 0.46/1.10 parent1[0]: (35) {G4,W7,D3,L1,V1,M1} R(34,3) { big_f( skol3( skol1, X ),
% 0.46/1.10 skol3( skol1, X ) ) }.
% 0.46/1.10 substitution0:
% 0.46/1.10 X := skol3( skol1, X )
% 0.46/1.10 end
% 0.46/1.10 substitution1:
% 0.46/1.10 X := X
% 0.46/1.10 end
% 0.46/1.10
% 0.46/1.10 subsumption: (39) {G5,W0,D0,L0,V0,M0} R(38,35) { }.
% 0.46/1.10 parent0: (90) {G4,W0,D0,L0,V0,M0} { }.
% 0.46/1.10 substitution0:
% 0.46/1.10 end
% 0.46/1.10 permutation0:
% 0.46/1.10 end
% 0.46/1.10
% 0.46/1.10 Proof check complete!
% 0.46/1.10
% 0.46/1.10 Memory use:
% 0.46/1.10
% 0.46/1.10 space for terms: 745
% 0.46/1.10 space for clauses: 2405
% 0.46/1.10
% 0.46/1.10
% 0.46/1.10 clauses generated: 67
% 0.46/1.10 clauses kept: 40
% 0.46/1.10 clauses selected: 27
% 0.46/1.10 clauses deleted: 0
% 0.46/1.10 clauses inuse deleted: 0
% 0.46/1.10
% 0.46/1.10 subsentry: 33
% 0.46/1.10 literals s-matched: 20
% 0.46/1.10 literals matched: 20
% 0.46/1.10 full subsumption: 10
% 0.46/1.10
% 0.46/1.10 checksum: 686709863
% 0.46/1.10
% 0.46/1.10
% 0.46/1.10 Bliksem ended
%------------------------------------------------------------------------------