TSTP Solution File: SYN939+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN939+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n005.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 02:58:16 EDT 2022
% Result : Theorem 0.46s 1.07s
% Output : Refutation 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN939+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n005.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Tue Jul 12 05:59:52 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.46/1.07 *** allocated 10000 integers for termspace/termends
% 0.46/1.07 *** allocated 10000 integers for clauses
% 0.46/1.07 *** allocated 10000 integers for justifications
% 0.46/1.07 Bliksem 1.12
% 0.46/1.07
% 0.46/1.07
% 0.46/1.07 Automatic Strategy Selection
% 0.46/1.07
% 0.46/1.07
% 0.46/1.07 Clauses:
% 0.46/1.07
% 0.46/1.07 { q( f( X ) ) }.
% 0.46/1.07 { alpha1( X, Y ), r( Y ), ! q( X ) }.
% 0.46/1.07 { alpha1( X, Y ), ! r( skol2 ), ! r( skol1 ), ! q( X ) }.
% 0.46/1.07 { ! alpha1( X, Y ), p( f( Y ) ) }.
% 0.46/1.07 { ! alpha1( X, Y ), ! p( X ) }.
% 0.46/1.07 { ! p( f( Y ) ), p( X ), alpha1( X, Y ) }.
% 0.46/1.07
% 0.46/1.07 percentage equality = 0.000000, percentage horn = 0.666667
% 0.46/1.07 This a non-horn, non-equality problem
% 0.46/1.07
% 0.46/1.07
% 0.46/1.07 Options Used:
% 0.46/1.07
% 0.46/1.07 useres = 1
% 0.46/1.07 useparamod = 0
% 0.46/1.07 useeqrefl = 0
% 0.46/1.07 useeqfact = 0
% 0.46/1.07 usefactor = 1
% 0.46/1.07 usesimpsplitting = 0
% 0.46/1.07 usesimpdemod = 0
% 0.46/1.07 usesimpres = 3
% 0.46/1.07
% 0.46/1.07 resimpinuse = 1000
% 0.46/1.07 resimpclauses = 20000
% 0.46/1.07 substype = standard
% 0.46/1.07 backwardsubs = 1
% 0.46/1.07 selectoldest = 5
% 0.46/1.07
% 0.46/1.07 litorderings [0] = split
% 0.46/1.07 litorderings [1] = liftord
% 0.46/1.07
% 0.46/1.07 termordering = none
% 0.46/1.07
% 0.46/1.07 litapriori = 1
% 0.46/1.07 termapriori = 0
% 0.46/1.07 litaposteriori = 0
% 0.46/1.07 termaposteriori = 0
% 0.46/1.07 demodaposteriori = 0
% 0.46/1.07 ordereqreflfact = 0
% 0.46/1.07
% 0.46/1.07 litselect = none
% 0.46/1.07
% 0.46/1.07 maxweight = 15
% 0.46/1.07 maxdepth = 30000
% 0.46/1.07 maxlength = 115
% 0.46/1.07 maxnrvars = 195
% 0.46/1.07 excuselevel = 1
% 0.46/1.07 increasemaxweight = 1
% 0.46/1.07
% 0.46/1.07 maxselected = 10000000
% 0.46/1.07 maxnrclauses = 10000000
% 0.46/1.07
% 0.46/1.07 showgenerated = 0
% 0.46/1.07 showkept = 0
% 0.46/1.07 showselected = 0
% 0.46/1.07 showdeleted = 0
% 0.46/1.07 showresimp = 1
% 0.46/1.07 showstatus = 2000
% 0.46/1.07
% 0.46/1.07 prologoutput = 0
% 0.46/1.07 nrgoals = 5000000
% 0.46/1.07 totalproof = 1
% 0.46/1.07
% 0.46/1.07 Symbols occurring in the translation:
% 0.46/1.07
% 0.46/1.07 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.46/1.07 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.46/1.07 ! [4, 1] (w:0, o:13, a:1, s:1, b:0),
% 0.46/1.07 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.46/1.07 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.46/1.07 f [38, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.46/1.07 q [39, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.46/1.07 p [42, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.46/1.07 r [43, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.46/1.07 alpha1 [44, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.46/1.07 skol1 [45, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.46/1.07 skol2 [46, 0] (w:1, o:12, a:1, s:1, b:0).
% 0.46/1.07
% 0.46/1.07
% 0.46/1.07 Starting Search:
% 0.46/1.07
% 0.46/1.07
% 0.46/1.07 Bliksems!, er is een bewijs:
% 0.46/1.07 % SZS status Theorem
% 0.46/1.07 % SZS output start Refutation
% 0.46/1.07
% 0.46/1.07 (0) {G0,W3,D3,L1,V1,M1} I { q( f( X ) ) }.
% 0.46/1.07 (1) {G0,W7,D2,L3,V2,M1} I { r( Y ), ! q( X ), alpha1( X, Y ) }.
% 0.46/1.07 (2) {G0,W9,D2,L4,V2,M1} I { ! r( skol2 ), ! r( skol1 ), ! q( X ), alpha1( X
% 0.46/1.07 , Y ) }.
% 0.46/1.07 (3) {G0,W6,D3,L2,V2,M1} I { p( f( Y ) ), ! alpha1( X, Y ) }.
% 0.46/1.07 (4) {G0,W5,D2,L2,V2,M1} I { ! p( X ), ! alpha1( X, Y ) }.
% 0.46/1.07 (6) {G1,W7,D3,L3,V2,M1} R(1,3) { ! q( Y ), p( f( X ) ), r( X ) }.
% 0.46/1.07 (7) {G1,W6,D2,L3,V2,M1} R(1,4) { ! q( Y ), ! p( Y ), r( X ) }.
% 0.46/1.07 (8) {G1,W9,D3,L4,V2,M1} R(2,3) { ! r( skol1 ), ! q( X ), p( f( Y ) ), ! r(
% 0.46/1.07 skol2 ) }.
% 0.46/1.07 (9) {G1,W8,D2,L4,V1,M1} R(2,4) { ! r( skol1 ), ! q( X ), ! p( X ), ! r(
% 0.46/1.07 skol2 ) }.
% 0.46/1.07 (11) {G2,W10,D2,L5,V2,M1} R(9,7) { ! q( X ), ! p( X ), ! q( Y ), ! p( Y ),
% 0.46/1.07 ! r( skol1 ) }.
% 0.46/1.07 (12) {G3,W6,D2,L3,V1,M1} F(11);f { ! p( X ), ! q( X ), ! r( skol1 ) }.
% 0.46/1.07 (14) {G4,W8,D2,L4,V2,M2} R(12,7) { ! p( X ), ! p( Y ), ! q( X ), ! q( Y )
% 0.46/1.07 }.
% 0.46/1.07 (15) {G5,W4,D2,L2,V1,M1} F(14);f { ! p( X ), ! q( X ) }.
% 0.46/1.07 (16) {G6,W3,D3,L1,V1,M1} R(15,0) { ! p( f( X ) ) }.
% 0.46/1.07 (17) {G7,W6,D2,L3,V1,M1} S(8);r(16) { ! q( X ), ! r( skol1 ), ! r( skol2 )
% 0.46/1.07 }.
% 0.46/1.07 (18) {G8,W6,D2,L3,V2,M1} R(17,6);r(16) { ! q( X ), ! q( Y ), ! r( skol1 )
% 0.46/1.07 }.
% 0.46/1.07 (19) {G9,W4,D2,L2,V1,M1} F(18) { ! q( X ), ! r( skol1 ) }.
% 0.46/1.07 (20) {G10,W4,D2,L2,V2,M2} R(19,6);r(16) { ! q( Y ), ! q( X ) }.
% 0.46/1.07 (21) {G11,W2,D2,L1,V1,M1} F(20) { ! q( X ) }.
% 0.46/1.07 (22) {G12,W0,D0,L0,V0,M0} R(21,0) { }.
% 0.46/1.07
% 0.46/1.07
% 0.46/1.07 % SZS output end Refutation
% 0.46/1.07 found a proof!
% 0.46/1.07
% 0.46/1.07
% 0.46/1.07 Unprocessed initial clauses:
% 0.46/1.07
% 0.46/1.07 (24) {G0,W3,D3,L1,V1,M1} { q( f( X ) ) }.
% 0.46/1.07 (25) {G0,W7,D2,L3,V2,M3} { alpha1( X, Y ), r( Y ), ! q( X ) }.
% 0.46/1.07 (26) {G0,W9,D2,L4,V2,M4} { alpha1( X, Y ), ! r( skol2 ), ! r( skol1 ), ! q
% 0.46/1.07 ( X ) }.
% 0.46/1.07 (27) {G0,W6,D3,L2,V2,M2} { ! alpha1( X, Y ), p( f( Y ) ) }.
% 0.46/1.07 (28) {G0,W5,D2,L2,V2,M2} { ! alpha1( X, Y ), ! p( X ) }.
% 0.46/1.07 (29) {G0,W8,D3,L3,V2,M3} { ! p( f( Y ) ), p( X ), alpha1( X, Y ) }.
% 0.46/1.07
% 0.46/1.07
% 0.46/1.07 Total Proof:
% 0.46/1.07
% 0.46/1.07 subsumption: (0) {G0,W3,D3,L1,V1,M1} I { q( f( X ) ) }.
% 0.46/1.07 parent0: (24) {G0,W3,D3,L1,V1,M1} { q( f( X ) ) }.
% 0.46/1.07 substitution0:
% 0.46/1.07 X := X
% 0.46/1.07 end
% 0.46/1.07 permutation0:
% 0.46/1.07 0 ==> 0
% 0.46/1.07 end
% 0.46/1.07
% 0.46/1.07 subsumption: (1) {G0,W7,D2,L3,V2,M1} I { r( Y ), ! q( X ), alpha1( X, Y )
% 0.46/1.07 }.
% 0.46/1.07 parent0: (25) {G0,W7,D2,L3,V2,M3} { alpha1( X, Y ), r( Y ), ! q( X ) }.
% 0.46/1.07 substitution0:
% 0.46/1.07 X := X
% 0.46/1.07 Y := Y
% 0.46/1.07 end
% 0.46/1.07 permutation0:
% 0.46/1.07 0 ==> 2
% 0.46/1.07 1 ==> 0
% 0.46/1.07 2 ==> 1
% 0.46/1.07 end
% 0.46/1.07
% 0.46/1.07 subsumption: (2) {G0,W9,D2,L4,V2,M1} I { ! r( skol2 ), ! r( skol1 ), ! q( X
% 0.46/1.07 ), alpha1( X, Y ) }.
% 0.46/1.07 parent0: (26) {G0,W9,D2,L4,V2,M4} { alpha1( X, Y ), ! r( skol2 ), ! r(
% 0.46/1.07 skol1 ), ! q( X ) }.
% 0.46/1.07 substitution0:
% 0.46/1.07 X := X
% 0.46/1.07 Y := Y
% 0.46/1.07 end
% 0.46/1.07 permutation0:
% 0.46/1.07 0 ==> 3
% 0.46/1.07 1 ==> 0
% 0.46/1.07 2 ==> 1
% 0.46/1.07 3 ==> 2
% 0.46/1.07 end
% 0.46/1.07
% 0.46/1.07 subsumption: (3) {G0,W6,D3,L2,V2,M1} I { p( f( Y ) ), ! alpha1( X, Y ) }.
% 0.46/1.07 parent0: (27) {G0,W6,D3,L2,V2,M2} { ! alpha1( X, Y ), p( f( Y ) ) }.
% 0.46/1.07 substitution0:
% 0.46/1.07 X := X
% 0.46/1.07 Y := Y
% 0.46/1.07 end
% 0.46/1.07 permutation0:
% 0.46/1.07 0 ==> 1
% 0.46/1.07 1 ==> 0
% 0.46/1.07 end
% 0.46/1.07
% 0.46/1.07 subsumption: (4) {G0,W5,D2,L2,V2,M1} I { ! p( X ), ! alpha1( X, Y ) }.
% 0.46/1.07 parent0: (28) {G0,W5,D2,L2,V2,M2} { ! alpha1( X, Y ), ! p( X ) }.
% 0.46/1.07 substitution0:
% 0.46/1.07 X := X
% 0.46/1.07 Y := Y
% 0.46/1.07 end
% 0.46/1.07 permutation0:
% 0.46/1.07 0 ==> 1
% 0.46/1.07 1 ==> 0
% 0.46/1.07 end
% 0.46/1.07
% 0.46/1.07 resolution: (30) {G1,W7,D3,L3,V2,M3} { p( f( X ) ), r( X ), ! q( Y ) }.
% 0.46/1.07 parent0[1]: (3) {G0,W6,D3,L2,V2,M1} I { p( f( Y ) ), ! alpha1( X, Y ) }.
% 0.46/1.07 parent1[2]: (1) {G0,W7,D2,L3,V2,M1} I { r( Y ), ! q( X ), alpha1( X, Y )
% 0.46/1.07 }.
% 0.46/1.07 substitution0:
% 0.46/1.07 X := Y
% 0.46/1.07 Y := X
% 0.46/1.07 end
% 0.46/1.07 substitution1:
% 0.46/1.07 X := Y
% 0.46/1.07 Y := X
% 0.46/1.07 end
% 0.46/1.07
% 0.46/1.07 subsumption: (6) {G1,W7,D3,L3,V2,M1} R(1,3) { ! q( Y ), p( f( X ) ), r( X )
% 0.46/1.07 }.
% 0.46/1.07 parent0: (30) {G1,W7,D3,L3,V2,M3} { p( f( X ) ), r( X ), ! q( Y ) }.
% 0.46/1.07 substitution0:
% 0.46/1.07 X := X
% 0.46/1.07 Y := Y
% 0.46/1.07 end
% 0.46/1.07 permutation0:
% 0.46/1.07 0 ==> 1
% 0.46/1.07 1 ==> 2
% 0.46/1.07 2 ==> 0
% 0.46/1.07 end
% 0.46/1.07
% 0.46/1.07 resolution: (31) {G1,W6,D2,L3,V2,M3} { ! p( X ), r( Y ), ! q( X ) }.
% 0.46/1.07 parent0[1]: (4) {G0,W5,D2,L2,V2,M1} I { ! p( X ), ! alpha1( X, Y ) }.
% 0.46/1.07 parent1[2]: (1) {G0,W7,D2,L3,V2,M1} I { r( Y ), ! q( X ), alpha1( X, Y )
% 0.46/1.07 }.
% 0.46/1.07 substitution0:
% 0.46/1.07 X := X
% 0.46/1.07 Y := Y
% 0.46/1.07 end
% 0.46/1.07 substitution1:
% 0.46/1.07 X := X
% 0.46/1.07 Y := Y
% 0.46/1.07 end
% 0.46/1.07
% 0.46/1.07 subsumption: (7) {G1,W6,D2,L3,V2,M1} R(1,4) { ! q( Y ), ! p( Y ), r( X )
% 0.46/1.07 }.
% 0.46/1.07 parent0: (31) {G1,W6,D2,L3,V2,M3} { ! p( X ), r( Y ), ! q( X ) }.
% 0.46/1.07 substitution0:
% 0.46/1.07 X := Y
% 0.46/1.07 Y := X
% 0.46/1.07 end
% 0.46/1.07 permutation0:
% 0.46/1.07 0 ==> 1
% 0.46/1.07 1 ==> 2
% 0.46/1.07 2 ==> 0
% 0.46/1.07 end
% 0.46/1.07
% 0.46/1.07 resolution: (32) {G1,W9,D3,L4,V2,M4} { p( f( X ) ), ! r( skol2 ), ! r(
% 0.46/1.07 skol1 ), ! q( Y ) }.
% 0.46/1.07 parent0[1]: (3) {G0,W6,D3,L2,V2,M1} I { p( f( Y ) ), ! alpha1( X, Y ) }.
% 0.46/1.07 parent1[3]: (2) {G0,W9,D2,L4,V2,M1} I { ! r( skol2 ), ! r( skol1 ), ! q( X
% 0.46/1.07 ), alpha1( X, Y ) }.
% 0.46/1.07 substitution0:
% 0.46/1.07 X := Y
% 0.46/1.07 Y := X
% 0.46/1.07 end
% 0.46/1.07 substitution1:
% 0.46/1.07 X := Y
% 0.46/1.07 Y := X
% 0.46/1.07 end
% 0.46/1.07
% 0.46/1.07 subsumption: (8) {G1,W9,D3,L4,V2,M1} R(2,3) { ! r( skol1 ), ! q( X ), p( f
% 0.46/1.07 ( Y ) ), ! r( skol2 ) }.
% 0.46/1.07 parent0: (32) {G1,W9,D3,L4,V2,M4} { p( f( X ) ), ! r( skol2 ), ! r( skol1
% 0.46/1.07 ), ! q( Y ) }.
% 0.46/1.07 substitution0:
% 0.46/1.07 X := Y
% 0.46/1.07 Y := X
% 0.46/1.07 end
% 0.46/1.07 permutation0:
% 0.46/1.07 0 ==> 2
% 0.46/1.07 1 ==> 3
% 0.46/1.07 2 ==> 0
% 0.46/1.07 3 ==> 1
% 0.46/1.07 end
% 0.46/1.07
% 0.46/1.07 resolution: (33) {G1,W8,D2,L4,V1,M4} { ! p( X ), ! r( skol2 ), ! r( skol1
% 0.46/1.07 ), ! q( X ) }.
% 0.46/1.07 parent0[1]: (4) {G0,W5,D2,L2,V2,M1} I { ! p( X ), ! alpha1( X, Y ) }.
% 0.46/1.07 parent1[3]: (2) {G0,W9,D2,L4,V2,M1} I { ! r( skol2 ), ! r( skol1 ), ! q( X
% 0.46/1.07 ), alpha1( X, Y ) }.
% 0.46/1.07 substitution0:
% 0.46/1.07 X := X
% 0.46/1.07 Y := Y
% 0.46/1.07 end
% 0.46/1.07 substitution1:
% 0.46/1.07 X := X
% 0.46/1.07 Y := Y
% 0.46/1.07 end
% 0.46/1.07
% 0.46/1.07 subsumption: (9) {G1,W8,D2,L4,V1,M1} R(2,4) { ! r( skol1 ), ! q( X ), ! p(
% 0.46/1.07 X ), ! r( skol2 ) }.
% 0.46/1.07 parent0: (33) {G1,W8,D2,L4,V1,M4} { ! p( X ), ! r( skol2 ), ! r( skol1 ),
% 0.46/1.07 ! q( X ) }.
% 0.46/1.07 substitution0:
% 0.46/1.07 X := X
% 0.46/1.07 end
% 0.46/1.07 permutation0:
% 0.46/1.07 0 ==> 2
% 0.46/1.07 1 ==> 3
% 0.46/1.07 2 ==> 0
% 0.46/1.07 3 ==> 1
% 0.46/1.07 end
% 0.46/1.07
% 0.46/1.07 resolution: (35) {G2,W10,D2,L5,V2,M5} { ! r( skol1 ), ! q( X ), ! p( X ),
% 0.46/1.07 ! q( Y ), ! p( Y ) }.
% 0.46/1.07 parent0[3]: (9) {G1,W8,D2,L4,V1,M1} R(2,4) { ! r( skol1 ), ! q( X ), ! p( X
% 0.46/1.07 ), ! r( skol2 ) }.
% 0.46/1.07 parent1[2]: (7) {G1,W6,D2,L3,V2,M1} R(1,4) { ! q( Y ), ! p( Y ), r( X ) }.
% 0.46/1.07 substitution0:
% 0.46/1.07 X := X
% 0.46/1.07 end
% 0.46/1.07 substitution1:
% 0.46/1.07 X := skol2
% 0.46/1.07 Y := Y
% 0.46/1.07 end
% 0.46/1.07
% 0.46/1.07 subsumption: (11) {G2,W10,D2,L5,V2,M1} R(9,7) { ! q( X ), ! p( X ), ! q( Y
% 0.46/1.07 ), ! p( Y ), ! r( skol1 ) }.
% 0.46/1.07 parent0: (35) {G2,W10,D2,L5,V2,M5} { ! r( skol1 ), ! q( X ), ! p( X ), ! q
% 0.46/1.07 ( Y ), ! p( Y ) }.
% 0.46/1.07 substitution0:
% 0.46/1.07 X := X
% 0.46/1.07 Y := X
% 0.46/1.07 end
% 0.46/1.07 permutation0:
% 0.46/1.07 0 ==> 4
% 0.46/1.07 1 ==> 0
% 0.46/1.07 2 ==> 1
% 0.46/1.07 3 ==> 0
% 0.46/1.07 4 ==> 1
% 0.46/1.07 end
% 0.46/1.07
% 0.46/1.07 factor: (40) {G2,W8,D2,L4,V1,M4} { ! q( X ), ! p( X ), ! p( X ), ! r(
% 0.46/1.07 skol1 ) }.
% 0.46/1.07 parent0[0, 2]: (11) {G2,W10,D2,L5,V2,M1} R(9,7) { ! q( X ), ! p( X ), ! q(
% 0.46/1.07 Y ), ! p( Y ), ! r( skol1 ) }.
% 0.46/1.07 substitution0:
% 0.46/1.07 X := X
% 0.46/1.07 Y := X
% 0.46/1.07 end
% 0.46/1.07
% 0.46/1.07 factor: (41) {G2,W6,D2,L3,V1,M3} { ! q( X ), ! p( X ), ! r( skol1 ) }.
% 0.46/1.07 parent0[1, 2]: (40) {G2,W8,D2,L4,V1,M4} { ! q( X ), ! p( X ), ! p( X ), !
% 0.46/1.07 r( skol1 ) }.
% 0.46/1.07 substitution0:
% 0.46/1.07 X := X
% 0.46/1.07 end
% 0.46/1.07
% 0.46/1.07 subsumption: (12) {G3,W6,D2,L3,V1,M1} F(11);f { ! p( X ), ! q( X ), ! r(
% 0.46/1.07 skol1 ) }.
% 0.46/1.07 parent0: (41) {G2,W6,D2,L3,V1,M3} { ! q( X ), ! p( X ), ! r( skol1 ) }.
% 0.46/1.07 substitution0:
% 0.46/1.07 X := X
% 0.46/1.07 end
% 0.46/1.07 permutation0:
% 0.46/1.07 0 ==> 1
% 0.46/1.07 1 ==> 0
% 0.46/1.07 2 ==> 2
% 0.46/1.07 end
% 0.46/1.07
% 0.46/1.07 resolution: (42) {G2,W8,D2,L4,V2,M4} { ! p( X ), ! q( X ), ! q( Y ), ! p(
% 0.46/1.07 Y ) }.
% 0.46/1.07 parent0[2]: (12) {G3,W6,D2,L3,V1,M1} F(11);f { ! p( X ), ! q( X ), ! r(
% 0.46/1.07 skol1 ) }.
% 0.46/1.07 parent1[2]: (7) {G1,W6,D2,L3,V2,M1} R(1,4) { ! q( Y ), ! p( Y ), r( X ) }.
% 0.46/1.07 substitution0:
% 0.46/1.07 X := X
% 0.46/1.07 end
% 0.46/1.07 substitution1:
% 0.46/1.07 X := skol1
% 0.46/1.07 Y := Y
% 0.46/1.07 end
% 0.46/1.07
% 0.46/1.07 subsumption: (14) {G4,W8,D2,L4,V2,M2} R(12,7) { ! p( X ), ! p( Y ), ! q( X
% 0.46/1.07 ), ! q( Y ) }.
% 0.46/1.07 parent0: (42) {G2,W8,D2,L4,V2,M4} { ! p( X ), ! q( X ), ! q( Y ), ! p( Y )
% 0.46/1.07 }.
% 0.46/1.07 substitution0:
% 0.46/1.07 X := X
% 0.46/1.07 Y := X
% 0.46/1.07 end
% 0.46/1.07 permutation0:
% 0.46/1.07 0 ==> 0
% 0.46/1.07 1 ==> 2
% 0.46/1.07 2 ==> 2
% 0.46/1.07 3 ==> 0
% 0.46/1.07 end
% 0.46/1.07
% 0.46/1.07 factor: (45) {G4,W6,D2,L3,V1,M3} { ! p( X ), ! q( X ), ! q( X ) }.
% 0.46/1.07 parent0[0, 1]: (14) {G4,W8,D2,L4,V2,M2} R(12,7) { ! p( X ), ! p( Y ), ! q(
% 0.46/1.07 X ), ! q( Y ) }.
% 0.46/1.07 substitution0:
% 0.46/1.07 X := X
% 0.46/1.07 Y := X
% 0.46/1.07 end
% 0.46/1.07
% 0.46/1.07 factor: (46) {G4,W4,D2,L2,V1,M2} { ! p( X ), ! q( X ) }.
% 0.46/1.07 parent0[1, 2]: (45) {G4,W6,D2,L3,V1,M3} { ! p( X ), ! q( X ), ! q( X ) }.
% 0.46/1.07 substitution0:
% 0.46/1.07 X := X
% 0.46/1.07 end
% 0.46/1.07
% 0.46/1.07 subsumption: (15) {G5,W4,D2,L2,V1,M1} F(14);f { ! p( X ), ! q( X ) }.
% 0.46/1.07 parent0: (46) {G4,W4,D2,L2,V1,M2} { ! p( X ), ! q( X ) }.
% 0.46/1.07 substitution0:
% 0.46/1.07 X := X
% 0.46/1.07 end
% 0.46/1.07 permutation0:
% 0.46/1.07 0 ==> 0
% 0.46/1.07 1 ==> 1
% 0.46/1.07 end
% 0.46/1.07
% 0.46/1.07 resolution: (47) {G1,W3,D3,L1,V1,M1} { ! p( f( X ) ) }.
% 0.46/1.07 parent0[1]: (15) {G5,W4,D2,L2,V1,M1} F(14);f { ! p( X ), ! q( X ) }.
% 0.46/1.07 parent1[0]: (0) {G0,W3,D3,L1,V1,M1} I { q( f( X ) ) }.
% 0.46/1.07 substitution0:
% 0.46/1.07 X := f( X )
% 0.46/1.07 end
% 0.46/1.07 substitution1:
% 0.46/1.07 X := X
% 0.46/1.07 end
% 0.46/1.07
% 0.46/1.07 subsumption: (16) {G6,W3,D3,L1,V1,M1} R(15,0) { ! p( f( X ) ) }.
% 0.46/1.07 parent0: (47) {G1,W3,D3,L1,V1,M1} { ! p( f( X ) ) }.
% 0.46/1.07 substitution0:
% 0.46/1.07 X := X
% 0.46/1.07 end
% 0.46/1.07 permutation0:
% 0.46/1.07 0 ==> 0
% 0.46/1.07 end
% 0.46/1.07
% 0.46/1.07 resolution: (48) {G2,W6,D2,L3,V1,M3} { ! r( skol1 ), ! q( Y ), ! r( skol2
% 0.46/1.07 ) }.
% 0.46/1.07 parent0[0]: (16) {G6,W3,D3,L1,V1,M1} R(15,0) { ! p( f( X ) ) }.
% 0.46/1.07 parent1[2]: (8) {G1,W9,D3,L4,V2,M1} R(2,3) { ! r( skol1 ), ! q( X ), p( f(
% 0.46/1.07 Y ) ), ! r( skol2 ) }.
% 0.46/1.07 substitution0:
% 0.46/1.07 X := X
% 0.46/1.07 end
% 0.46/1.07 substitution1:
% 0.46/1.07 X := Y
% 0.46/1.07 Y := X
% 0.46/1.07 end
% 0.46/1.07
% 0.46/1.07 subsumption: (17) {G7,W6,D2,L3,V1,M1} S(8);r(16) { ! q( X ), ! r( skol1 ),
% 0.46/1.07 ! r( skol2 ) }.
% 0.46/1.07 parent0: (48) {G2,W6,D2,L3,V1,M3} { ! r( skol1 ), ! q( Y ), ! r( skol2 )
% 0.46/1.07 }.
% 0.46/1.07 substitution0:
% 0.46/1.07 X := Y
% 0.46/1.07 Y := X
% 0.46/1.07 end
% 0.46/1.07 permutation0:
% 0.46/1.07 0 ==> 1
% 0.46/1.07 1 ==> 0
% 0.46/1.07 2 ==> 2
% 0.46/1.07 end
% 0.46/1.07
% 0.46/1.07 resolution: (50) {G2,W9,D3,L4,V2,M4} { ! q( X ), ! r( skol1 ), ! q( Y ), p
% 0.46/1.07 ( f( skol2 ) ) }.
% 0.46/1.07 parent0[2]: (17) {G7,W6,D2,L3,V1,M1} S(8);r(16) { ! q( X ), ! r( skol1 ), !
% 0.46/1.07 r( skol2 ) }.
% 0.46/1.07 parent1[2]: (6) {G1,W7,D3,L3,V2,M1} R(1,3) { ! q( Y ), p( f( X ) ), r( X )
% 0.46/1.07 }.
% 0.46/1.07 substitution0:
% 0.46/1.07 X := X
% 0.46/1.07 end
% 0.46/1.07 substitution1:
% 0.46/1.07 X := skol2
% 0.46/1.07 Y := Y
% 0.46/1.07 end
% 0.46/1.07
% 0.46/1.07 resolution: (57) {G3,W6,D2,L3,V2,M3} { ! q( X ), ! r( skol1 ), ! q( Y )
% 0.46/1.07 }.
% 0.46/1.07 parent0[0]: (16) {G6,W3,D3,L1,V1,M1} R(15,0) { ! p( f( X ) ) }.
% 0.46/1.07 parent1[3]: (50) {G2,W9,D3,L4,V2,M4} { ! q( X ), ! r( skol1 ), ! q( Y ), p
% 0.46/1.07 ( f( skol2 ) ) }.
% 0.46/1.07 substitution0:
% 0.46/1.07 X := skol2
% 0.46/1.07 end
% 0.46/1.07 substitution1:
% 0.46/1.07 X := X
% 0.46/1.07 Y := Y
% 0.46/1.07 end
% 0.46/1.07
% 0.46/1.07 subsumption: (18) {G8,W6,D2,L3,V2,M1} R(17,6);r(16) { ! q( X ), ! q( Y ), !
% 0.46/1.07 r( skol1 ) }.
% 0.46/1.07 parent0: (57) {G3,W6,D2,L3,V2,M3} { ! q( X ), ! r( skol1 ), ! q( Y ) }.
% 0.46/1.07 substitution0:
% 0.46/1.07 X := X
% 0.46/1.07 Y := X
% 0.46/1.07 end
% 0.46/1.07 permutation0:
% 0.46/1.07 0 ==> 0
% 0.46/1.07 1 ==> 2
% 0.46/1.07 2 ==> 0
% 0.46/1.07 end
% 0.46/1.07
% 0.46/1.07 factor: (59) {G8,W4,D2,L2,V1,M2} { ! q( X ), ! r( skol1 ) }.
% 0.46/1.07 parent0[0, 1]: (18) {G8,W6,D2,L3,V2,M1} R(17,6);r(16) { ! q( X ), ! q( Y )
% 0.46/1.07 , ! r( skol1 ) }.
% 0.46/1.07 substitution0:
% 0.46/1.07 X := X
% 0.46/1.07 Y := X
% 0.46/1.07 end
% 0.46/1.07
% 0.46/1.07 subsumption: (19) {G9,W4,D2,L2,V1,M1} F(18) { ! q( X ), ! r( skol1 ) }.
% 0.46/1.07 parent0: (59) {G8,W4,D2,L2,V1,M2} { ! q( X ), ! r( skol1 ) }.
% 0.46/1.07 substitution0:
% 0.46/1.07 X := X
% 0.46/1.07 end
% 0.46/1.07 permutation0:
% 0.46/1.07 0 ==> 0
% 0.46/1.07 1 ==> 1
% 0.46/1.07 end
% 0.46/1.07
% 0.46/1.07 resolution: (60) {G2,W7,D3,L3,V2,M3} { ! q( X ), ! q( Y ), p( f( skol1 ) )
% 0.46/1.07 }.
% 0.46/1.07 parent0[1]: (19) {G9,W4,D2,L2,V1,M1} F(18) { ! q( X ), ! r( skol1 ) }.
% 0.46/1.07 parent1[2]: (6) {G1,W7,D3,L3,V2,M1} R(1,3) { ! q( Y ), p( f( X ) ), r( X )
% 0.46/1.07 }.
% 0.46/1.07 substitution0:
% 0.46/1.07 X := X
% 0.46/1.07 end
% 0.46/1.07 substitution1:
% 0.46/1.07 X := skol1
% 0.46/1.07 Y := Y
% 0.46/1.07 end
% 0.46/1.07
% 0.46/1.07 resolution: (63) {G3,W4,D2,L2,V2,M2} { ! q( X ), ! q( Y ) }.
% 0.46/1.07 parent0[0]: (16) {G6,W3,D3,L1,V1,M1} R(15,0) { ! p( f( X ) ) }.
% 0.46/1.07 parent1[2]: (60) {G2,W7,D3,L3,V2,M3} { ! q( X ), ! q( Y ), p( f( skol1 ) )
% 0.46/1.07 }.
% 0.46/1.07 substitution0:
% 0.46/1.07 X := skol1
% 0.46/1.07 end
% 0.46/1.07 substitution1:
% 0.46/1.07 X := X
% 0.46/1.07 Y := Y
% 0.46/1.07 end
% 0.46/1.07
% 0.46/1.07 subsumption: (20) {G10,W4,D2,L2,V2,M2} R(19,6);r(16) { ! q( Y ), ! q( X )
% 0.46/1.07 }.
% 0.46/1.07 parent0: (63) {G3,W4,D2,L2,V2,M2} { ! q( X ), ! q( Y ) }.
% 0.46/1.07 substitution0:
% 0.46/1.07 X := Y
% 0.46/1.07 Y := Y
% 0.46/1.07 end
% 0.46/1.07 permutation0:
% 0.46/1.07 0 ==> 0
% 0.46/1.07 1 ==> 0
% 0.46/1.07 end
% 0.46/1.07
% 0.46/1.07 factor: (65) {G10,W2,D2,L1,V1,M1} { ! q( X ) }.
% 0.46/1.07 parent0[0, 1]: (20) {G10,W4,D2,L2,V2,M2} R(19,6);r(16) { ! q( Y ), ! q( X )
% 0.46/1.07 }.
% 0.46/1.07 substitution0:
% 0.46/1.07 X := X
% 0.46/1.07 Y := X
% 0.46/1.07 end
% 0.46/1.07
% 0.46/1.07 subsumption: (21) {G11,W2,D2,L1,V1,M1} F(20) { ! q( X ) }.
% 0.46/1.07 parent0: (65) {G10,W2,D2,L1,V1,M1} { ! q( X ) }.
% 0.46/1.07 substitution0:
% 0.46/1.07 X := X
% 0.46/1.07 end
% 0.46/1.07 permutation0:
% 0.46/1.07 0 ==> 0
% 0.46/1.07 end
% 0.46/1.07
% 0.46/1.07 resolution: (66) {G1,W0,D0,L0,V0,M0} { }.
% 0.46/1.07 parent0[0]: (21) {G11,W2,D2,L1,V1,M1} F(20) { ! q( X ) }.
% 0.46/1.07 parent1[0]: (0) {G0,W3,D3,L1,V1,M1} I { q( f( X ) ) }.
% 0.46/1.07 substitution0:
% 0.46/1.07 X := f( X )
% 0.46/1.07 end
% 0.46/1.07 substitution1:
% 0.46/1.07 X := X
% 0.46/1.07 end
% 0.46/1.07
% 0.46/1.07 subsumption: (22) {G12,W0,D0,L0,V0,M0} R(21,0) { }.
% 0.46/1.07 parent0: (66) {G1,W0,D0,L0,V0,M0} { }.
% 0.46/1.07 substitution0:
% 0.46/1.07 end
% 0.46/1.07 permutation0:
% 0.46/1.07 end
% 0.46/1.07
% 0.46/1.07 Proof check complete!
% 0.46/1.07
% 0.46/1.07 Memory use:
% 0.46/1.07
% 0.46/1.07 space for terms: 293
% 0.46/1.07 space for clauses: 907
% 0.46/1.07
% 0.46/1.07
% 0.46/1.07 clauses generated: 29
% 0.46/1.07 clauses kept: 23
% 0.46/1.07 clauses selected: 14
% 0.46/1.07 clauses deleted: 5
% 0.46/1.07 clauses inuse deleted: 0
% 0.46/1.07
% 0.46/1.07 subsentry: 40
% 0.46/1.07 literals s-matched: 21
% 0.46/1.07 literals matched: 21
% 0.46/1.07 full subsumption: 1
% 0.46/1.07
% 0.46/1.07 checksum: -2142928
% 0.46/1.07
% 0.46/1.07
% 0.46/1.07 Bliksem ended
%------------------------------------------------------------------------------