TSTP Solution File: PUZ047+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : PUZ047+1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 17:58:19 EDT 2022
% Result : Theorem 0.70s 1.10s
% Output : Refutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ047+1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sun May 29 01:24:59 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.70/1.10 *** allocated 10000 integers for termspace/termends
% 0.70/1.10 *** allocated 10000 integers for clauses
% 0.70/1.10 *** allocated 10000 integers for justifications
% 0.70/1.10 Bliksem 1.12
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Automatic Strategy Selection
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Clauses:
% 0.70/1.10
% 0.70/1.10 { p( south, south, south, south, start ) }.
% 0.70/1.10 { ! p( south, north, south, north, X ), p( north, north, south, north,
% 0.70/1.10 go_alone( X ) ) }.
% 0.70/1.10 { ! p( north, north, south, north, X ), p( south, north, south, north,
% 0.70/1.10 go_alone( X ) ) }.
% 0.70/1.10 { ! p( south, south, north, south, X ), p( north, south, north, south,
% 0.70/1.10 go_alone( X ) ) }.
% 0.70/1.10 { ! p( north, south, north, south, X ), p( south, south, north, south,
% 0.70/1.10 go_alone( X ) ) }.
% 0.70/1.10 { ! p( south, south, south, north, X ), p( north, north, south, north,
% 0.70/1.10 take_wolf( X ) ) }.
% 0.70/1.10 { ! p( north, north, south, north, X ), p( south, south, south, north,
% 0.70/1.10 take_wolf( X ) ) }.
% 0.70/1.10 { ! p( south, south, north, south, X ), p( north, north, north, south,
% 0.70/1.10 take_wolf( X ) ) }.
% 0.70/1.10 { ! p( north, north, north, south, X ), p( south, south, north, south,
% 0.70/1.10 take_wolf( X ) ) }.
% 0.70/1.10 { ! p( south, X, south, Y, Z ), p( north, X, north, Y, take_goat( Z ) ) }.
% 0.70/1.10 { ! p( north, X, north, Y, Z ), p( south, X, south, Y, take_goat( Z ) ) }.
% 0.70/1.10 { ! p( south, north, south, south, X ), p( north, north, south, north,
% 0.70/1.10 take_cabbage( X ) ) }.
% 0.70/1.10 { ! p( north, north, south, north, X ), p( south, north, south, south,
% 0.70/1.10 take_cabbage( X ) ) }.
% 0.70/1.10 { ! p( south, south, north, south, X ), p( north, south, north, north,
% 0.70/1.10 take_cabbage( X ) ) }.
% 0.70/1.10 { ! p( north, south, north, north, X ), p( south, south, north, south,
% 0.70/1.10 take_cabbage( X ) ) }.
% 0.70/1.10 { ! p( north, north, north, north, X ) }.
% 0.70/1.10
% 0.70/1.10 percentage equality = 0.000000, percentage horn = 1.000000
% 0.70/1.10 This is a near-Horn, non-equality problem
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Options Used:
% 0.70/1.10
% 0.70/1.10 useres = 1
% 0.70/1.10 useparamod = 0
% 0.70/1.10 useeqrefl = 0
% 0.70/1.10 useeqfact = 0
% 0.70/1.10 usefactor = 1
% 0.70/1.10 usesimpsplitting = 0
% 0.70/1.10 usesimpdemod = 0
% 0.70/1.10 usesimpres = 4
% 0.70/1.10
% 0.70/1.10 resimpinuse = 1000
% 0.70/1.10 resimpclauses = 20000
% 0.70/1.10 substype = standard
% 0.70/1.10 backwardsubs = 1
% 0.70/1.10 selectoldest = 5
% 0.70/1.10
% 0.70/1.10 litorderings [0] = split
% 0.70/1.10 litorderings [1] = liftord
% 0.70/1.10
% 0.70/1.10 termordering = none
% 0.70/1.10
% 0.70/1.10 litapriori = 1
% 0.70/1.10 termapriori = 0
% 0.70/1.10 litaposteriori = 0
% 0.70/1.10 termaposteriori = 0
% 0.70/1.10 demodaposteriori = 0
% 0.70/1.10 ordereqreflfact = 0
% 0.70/1.10
% 0.70/1.10 litselect = negative
% 0.70/1.10
% 0.70/1.10 maxweight = 30000
% 0.70/1.10 maxdepth = 30000
% 0.70/1.10 maxlength = 115
% 0.70/1.10 maxnrvars = 195
% 0.70/1.10 excuselevel = 0
% 0.70/1.10 increasemaxweight = 0
% 0.70/1.10
% 0.70/1.10 maxselected = 10000000
% 0.70/1.10 maxnrclauses = 10000000
% 0.70/1.10
% 0.70/1.10 showgenerated = 0
% 0.70/1.10 showkept = 0
% 0.70/1.10 showselected = 0
% 0.70/1.10 showdeleted = 0
% 0.70/1.10 showresimp = 1
% 0.70/1.10 showstatus = 2000
% 0.70/1.10
% 0.70/1.10 prologoutput = 0
% 0.70/1.10 nrgoals = 5000000
% 0.70/1.10 totalproof = 1
% 0.70/1.10
% 0.70/1.10 Symbols occurring in the translation:
% 0.70/1.10
% 0.70/1.10 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.70/1.10 . [1, 2] (w:1, o:37, a:1, s:1, b:0),
% 0.70/1.10 ! [4, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.70/1.10 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.10 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.10 south [35, 0] (w:1, o:6, a:1, s:1, b:0),
% 0.70/1.10 start [36, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.70/1.10 p [37, 5] (w:1, o:61, a:1, s:1, b:0),
% 0.70/1.10 north [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.70/1.10 go_alone [40, 1] (w:1, o:33, a:1, s:1, b:0),
% 0.70/1.10 take_wolf [45, 1] (w:1, o:34, a:1, s:1, b:0),
% 0.70/1.10 take_goat [52, 1] (w:1, o:35, a:1, s:1, b:0),
% 0.70/1.10 take_cabbage [57, 1] (w:1, o:36, a:1, s:1, b:0).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Starting Search:
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Bliksems!, er is een bewijs:
% 0.70/1.10 % SZS status Theorem
% 0.70/1.10 % SZS output start Refutation
% 0.70/1.10
% 0.70/1.10 (0) {G0,W6,D2,L1,V0,M1} I { p( south, south, south, south, start ) }.
% 0.70/1.10 (2) {G0,W14,D3,L2,V1,M1} I { p( south, north, south, north, go_alone( X ) )
% 0.70/1.10 , ! p( north, north, south, north, X ) }.
% 0.70/1.10 (4) {G0,W14,D3,L2,V1,M1} I { p( south, south, north, south, go_alone( X ) )
% 0.70/1.10 , ! p( north, south, north, south, X ) }.
% 0.70/1.10 (5) {G0,W14,D3,L2,V1,M1} I { p( north, north, south, north, take_wolf( X )
% 0.70/1.10 ), ! p( south, south, south, north, X ) }.
% 0.70/1.10 (9) {G0,W14,D3,L2,V3,M1} I { p( north, X, north, Y, take_goat( Z ) ), ! p(
% 0.70/1.10 south, X, south, Y, Z ) }.
% 0.70/1.10 (10) {G0,W14,D3,L2,V3,M1} I { p( south, X, south, Y, take_goat( Z ) ), ! p
% 0.70/1.10 ( north, X, north, Y, Z ) }.
% 0.70/1.10 (13) {G0,W14,D3,L2,V1,M1} I { p( north, south, north, north, take_cabbage(
% 0.70/1.10 X ) ), ! p( south, south, north, south, X ) }.
% 0.70/1.10 (15) {G0,W7,D2,L1,V1,M1} I { ! p( north, north, north, north, X ) }.
% 0.70/1.10 (16) {G1,W7,D3,L1,V0,M1} R(9,0) { p( north, south, north, south, take_goat
% 0.70/1.10 ( start ) ) }.
% 0.70/1.10 (27) {G2,W8,D4,L1,V0,M1} R(4,16) { p( south, south, north, south, go_alone
% 0.70/1.10 ( take_goat( start ) ) ) }.
% 0.70/1.10 (30) {G3,W9,D5,L1,V0,M1} R(27,13) { p( north, south, north, north,
% 0.70/1.10 take_cabbage( go_alone( take_goat( start ) ) ) ) }.
% 0.70/1.10 (36) {G4,W10,D6,L1,V0,M1} R(30,10) { p( south, south, south, north,
% 0.70/1.10 take_goat( take_cabbage( go_alone( take_goat( start ) ) ) ) ) }.
% 0.70/1.10 (40) {G5,W11,D7,L1,V0,M1} R(36,5) { p( north, north, south, north,
% 0.70/1.10 take_wolf( take_goat( take_cabbage( go_alone( take_goat( start ) ) ) ) )
% 0.70/1.10 ) }.
% 0.70/1.10 (88) {G6,W12,D8,L1,V0,M1} R(40,2) { p( south, north, south, north, go_alone
% 0.70/1.10 ( take_wolf( take_goat( take_cabbage( go_alone( take_goat( start ) ) ) )
% 0.70/1.10 ) ) ) }.
% 0.70/1.10 (128) {G7,W0,D0,L0,V0,M0} R(88,9);r(15) { }.
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 % SZS output end Refutation
% 0.70/1.10 found a proof!
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Unprocessed initial clauses:
% 0.70/1.10
% 0.70/1.10 (130) {G0,W6,D2,L1,V0,M1} { p( south, south, south, south, start ) }.
% 0.70/1.10 (131) {G0,W14,D3,L2,V1,M2} { ! p( south, north, south, north, X ), p(
% 0.70/1.10 north, north, south, north, go_alone( X ) ) }.
% 0.70/1.10 (132) {G0,W14,D3,L2,V1,M2} { ! p( north, north, south, north, X ), p(
% 0.70/1.10 south, north, south, north, go_alone( X ) ) }.
% 0.70/1.10 (133) {G0,W14,D3,L2,V1,M2} { ! p( south, south, north, south, X ), p(
% 0.70/1.10 north, south, north, south, go_alone( X ) ) }.
% 0.70/1.10 (134) {G0,W14,D3,L2,V1,M2} { ! p( north, south, north, south, X ), p(
% 0.70/1.10 south, south, north, south, go_alone( X ) ) }.
% 0.70/1.10 (135) {G0,W14,D3,L2,V1,M2} { ! p( south, south, south, north, X ), p(
% 0.70/1.10 north, north, south, north, take_wolf( X ) ) }.
% 0.70/1.10 (136) {G0,W14,D3,L2,V1,M2} { ! p( north, north, south, north, X ), p(
% 0.70/1.10 south, south, south, north, take_wolf( X ) ) }.
% 0.70/1.10 (137) {G0,W14,D3,L2,V1,M2} { ! p( south, south, north, south, X ), p(
% 0.70/1.10 north, north, north, south, take_wolf( X ) ) }.
% 0.70/1.10 (138) {G0,W14,D3,L2,V1,M2} { ! p( north, north, north, south, X ), p(
% 0.70/1.10 south, south, north, south, take_wolf( X ) ) }.
% 0.70/1.10 (139) {G0,W14,D3,L2,V3,M2} { ! p( south, X, south, Y, Z ), p( north, X,
% 0.70/1.10 north, Y, take_goat( Z ) ) }.
% 0.70/1.10 (140) {G0,W14,D3,L2,V3,M2} { ! p( north, X, north, Y, Z ), p( south, X,
% 0.70/1.10 south, Y, take_goat( Z ) ) }.
% 0.70/1.10 (141) {G0,W14,D3,L2,V1,M2} { ! p( south, north, south, south, X ), p(
% 0.70/1.10 north, north, south, north, take_cabbage( X ) ) }.
% 0.70/1.10 (142) {G0,W14,D3,L2,V1,M2} { ! p( north, north, south, north, X ), p(
% 0.70/1.10 south, north, south, south, take_cabbage( X ) ) }.
% 0.70/1.10 (143) {G0,W14,D3,L2,V1,M2} { ! p( south, south, north, south, X ), p(
% 0.70/1.10 north, south, north, north, take_cabbage( X ) ) }.
% 0.70/1.10 (144) {G0,W14,D3,L2,V1,M2} { ! p( north, south, north, north, X ), p(
% 0.70/1.10 south, south, north, south, take_cabbage( X ) ) }.
% 0.70/1.10 (145) {G0,W7,D2,L1,V1,M1} { ! p( north, north, north, north, X ) }.
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Total Proof:
% 0.70/1.10
% 0.70/1.10 subsumption: (0) {G0,W6,D2,L1,V0,M1} I { p( south, south, south, south,
% 0.70/1.10 start ) }.
% 0.70/1.10 parent0: (130) {G0,W6,D2,L1,V0,M1} { p( south, south, south, south, start
% 0.70/1.10 ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 end
% 0.70/1.10 permutation0:
% 0.70/1.10 0 ==> 0
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 subsumption: (2) {G0,W14,D3,L2,V1,M1} I { p( south, north, south, north,
% 0.70/1.10 go_alone( X ) ), ! p( north, north, south, north, X ) }.
% 0.70/1.10 parent0: (132) {G0,W14,D3,L2,V1,M2} { ! p( north, north, south, north, X )
% 0.70/1.10 , p( south, north, south, north, go_alone( X ) ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 X := X
% 0.70/1.10 end
% 0.70/1.10 permutation0:
% 0.70/1.10 0 ==> 1
% 0.70/1.10 1 ==> 0
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 subsumption: (4) {G0,W14,D3,L2,V1,M1} I { p( south, south, north, south,
% 0.70/1.10 go_alone( X ) ), ! p( north, south, north, south, X ) }.
% 0.70/1.10 parent0: (134) {G0,W14,D3,L2,V1,M2} { ! p( north, south, north, south, X )
% 0.70/1.10 , p( south, south, north, south, go_alone( X ) ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 X := X
% 0.70/1.10 end
% 0.70/1.10 permutation0:
% 0.70/1.10 0 ==> 1
% 0.70/1.10 1 ==> 0
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 subsumption: (5) {G0,W14,D3,L2,V1,M1} I { p( north, north, south, north,
% 0.70/1.10 take_wolf( X ) ), ! p( south, south, south, north, X ) }.
% 0.70/1.10 parent0: (135) {G0,W14,D3,L2,V1,M2} { ! p( south, south, south, north, X )
% 0.70/1.10 , p( north, north, south, north, take_wolf( X ) ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 X := X
% 0.70/1.10 end
% 0.70/1.10 permutation0:
% 0.70/1.10 0 ==> 1
% 0.70/1.10 1 ==> 0
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 subsumption: (9) {G0,W14,D3,L2,V3,M1} I { p( north, X, north, Y, take_goat
% 0.70/1.10 ( Z ) ), ! p( south, X, south, Y, Z ) }.
% 0.70/1.10 parent0: (139) {G0,W14,D3,L2,V3,M2} { ! p( south, X, south, Y, Z ), p(
% 0.70/1.10 north, X, north, Y, take_goat( Z ) ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 X := X
% 0.70/1.10 Y := Y
% 0.70/1.10 Z := Z
% 0.70/1.10 end
% 0.70/1.10 permutation0:
% 0.70/1.10 0 ==> 1
% 0.70/1.10 1 ==> 0
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 subsumption: (10) {G0,W14,D3,L2,V3,M1} I { p( south, X, south, Y, take_goat
% 0.70/1.10 ( Z ) ), ! p( north, X, north, Y, Z ) }.
% 0.70/1.10 parent0: (140) {G0,W14,D3,L2,V3,M2} { ! p( north, X, north, Y, Z ), p(
% 0.70/1.10 south, X, south, Y, take_goat( Z ) ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 X := X
% 0.70/1.10 Y := Y
% 0.70/1.10 Z := Z
% 0.70/1.10 end
% 0.70/1.10 permutation0:
% 0.70/1.10 0 ==> 1
% 0.70/1.10 1 ==> 0
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 subsumption: (13) {G0,W14,D3,L2,V1,M1} I { p( north, south, north, north,
% 0.70/1.10 take_cabbage( X ) ), ! p( south, south, north, south, X ) }.
% 0.70/1.10 parent0: (143) {G0,W14,D3,L2,V1,M2} { ! p( south, south, north, south, X )
% 0.70/1.10 , p( north, south, north, north, take_cabbage( X ) ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 X := X
% 0.70/1.10 end
% 0.70/1.10 permutation0:
% 0.70/1.10 0 ==> 1
% 0.70/1.10 1 ==> 0
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 subsumption: (15) {G0,W7,D2,L1,V1,M1} I { ! p( north, north, north, north,
% 0.70/1.10 X ) }.
% 0.70/1.10 parent0: (145) {G0,W7,D2,L1,V1,M1} { ! p( north, north, north, north, X )
% 0.70/1.10 }.
% 0.70/1.10 substitution0:
% 0.70/1.10 X := X
% 0.70/1.10 end
% 0.70/1.10 permutation0:
% 0.70/1.10 0 ==> 0
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 resolution: (146) {G1,W7,D3,L1,V0,M1} { p( north, south, north, south,
% 0.70/1.10 take_goat( start ) ) }.
% 0.70/1.10 parent0[1]: (9) {G0,W14,D3,L2,V3,M1} I { p( north, X, north, Y, take_goat(
% 0.70/1.10 Z ) ), ! p( south, X, south, Y, Z ) }.
% 0.70/1.10 parent1[0]: (0) {G0,W6,D2,L1,V0,M1} I { p( south, south, south, south,
% 0.70/1.10 start ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 X := south
% 0.70/1.10 Y := south
% 0.70/1.10 Z := start
% 0.70/1.10 end
% 0.70/1.10 substitution1:
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 subsumption: (16) {G1,W7,D3,L1,V0,M1} R(9,0) { p( north, south, north,
% 0.70/1.10 south, take_goat( start ) ) }.
% 0.70/1.10 parent0: (146) {G1,W7,D3,L1,V0,M1} { p( north, south, north, south,
% 0.70/1.10 take_goat( start ) ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 end
% 0.70/1.10 permutation0:
% 0.70/1.10 0 ==> 0
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 resolution: (147) {G1,W8,D4,L1,V0,M1} { p( south, south, north, south,
% 0.70/1.10 go_alone( take_goat( start ) ) ) }.
% 0.70/1.10 parent0[1]: (4) {G0,W14,D3,L2,V1,M1} I { p( south, south, north, south,
% 0.70/1.10 go_alone( X ) ), ! p( north, south, north, south, X ) }.
% 0.70/1.10 parent1[0]: (16) {G1,W7,D3,L1,V0,M1} R(9,0) { p( north, south, north, south
% 0.70/1.10 , take_goat( start ) ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 X := take_goat( start )
% 0.70/1.10 end
% 0.70/1.10 substitution1:
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 subsumption: (27) {G2,W8,D4,L1,V0,M1} R(4,16) { p( south, south, north,
% 0.70/1.10 south, go_alone( take_goat( start ) ) ) }.
% 0.70/1.10 parent0: (147) {G1,W8,D4,L1,V0,M1} { p( south, south, north, south,
% 0.70/1.10 go_alone( take_goat( start ) ) ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 end
% 0.70/1.10 permutation0:
% 0.70/1.10 0 ==> 0
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 resolution: (148) {G1,W9,D5,L1,V0,M1} { p( north, south, north, north,
% 0.70/1.10 take_cabbage( go_alone( take_goat( start ) ) ) ) }.
% 0.70/1.10 parent0[1]: (13) {G0,W14,D3,L2,V1,M1} I { p( north, south, north, north,
% 0.70/1.10 take_cabbage( X ) ), ! p( south, south, north, south, X ) }.
% 0.70/1.10 parent1[0]: (27) {G2,W8,D4,L1,V0,M1} R(4,16) { p( south, south, north,
% 0.70/1.10 south, go_alone( take_goat( start ) ) ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 X := go_alone( take_goat( start ) )
% 0.70/1.10 end
% 0.70/1.10 substitution1:
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 subsumption: (30) {G3,W9,D5,L1,V0,M1} R(27,13) { p( north, south, north,
% 0.70/1.10 north, take_cabbage( go_alone( take_goat( start ) ) ) ) }.
% 0.70/1.10 parent0: (148) {G1,W9,D5,L1,V0,M1} { p( north, south, north, north,
% 0.70/1.10 take_cabbage( go_alone( take_goat( start ) ) ) ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 end
% 0.70/1.10 permutation0:
% 0.70/1.10 0 ==> 0
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 resolution: (149) {G1,W10,D6,L1,V0,M1} { p( south, south, south, north,
% 0.70/1.10 take_goat( take_cabbage( go_alone( take_goat( start ) ) ) ) ) }.
% 0.70/1.10 parent0[1]: (10) {G0,W14,D3,L2,V3,M1} I { p( south, X, south, Y, take_goat
% 0.70/1.10 ( Z ) ), ! p( north, X, north, Y, Z ) }.
% 0.70/1.10 parent1[0]: (30) {G3,W9,D5,L1,V0,M1} R(27,13) { p( north, south, north,
% 0.70/1.10 north, take_cabbage( go_alone( take_goat( start ) ) ) ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 X := south
% 0.70/1.10 Y := north
% 0.70/1.10 Z := take_cabbage( go_alone( take_goat( start ) ) )
% 0.70/1.10 end
% 0.70/1.10 substitution1:
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 subsumption: (36) {G4,W10,D6,L1,V0,M1} R(30,10) { p( south, south, south,
% 0.70/1.10 north, take_goat( take_cabbage( go_alone( take_goat( start ) ) ) ) ) }.
% 0.70/1.10 parent0: (149) {G1,W10,D6,L1,V0,M1} { p( south, south, south, north,
% 0.70/1.10 take_goat( take_cabbage( go_alone( take_goat( start ) ) ) ) ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 end
% 0.70/1.10 permutation0:
% 0.70/1.10 0 ==> 0
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 resolution: (150) {G1,W11,D7,L1,V0,M1} { p( north, north, south, north,
% 0.70/1.10 take_wolf( take_goat( take_cabbage( go_alone( take_goat( start ) ) ) ) )
% 0.70/1.10 ) }.
% 0.70/1.10 parent0[1]: (5) {G0,W14,D3,L2,V1,M1} I { p( north, north, south, north,
% 0.70/1.10 take_wolf( X ) ), ! p( south, south, south, north, X ) }.
% 0.70/1.10 parent1[0]: (36) {G4,W10,D6,L1,V0,M1} R(30,10) { p( south, south, south,
% 0.70/1.10 north, take_goat( take_cabbage( go_alone( take_goat( start ) ) ) ) ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 X := take_goat( take_cabbage( go_alone( take_goat( start ) ) ) )
% 0.70/1.10 end
% 0.70/1.10 substitution1:
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 subsumption: (40) {G5,W11,D7,L1,V0,M1} R(36,5) { p( north, north, south,
% 0.70/1.10 north, take_wolf( take_goat( take_cabbage( go_alone( take_goat( start ) )
% 0.70/1.10 ) ) ) ) }.
% 0.70/1.10 parent0: (150) {G1,W11,D7,L1,V0,M1} { p( north, north, south, north,
% 0.70/1.10 take_wolf( take_goat( take_cabbage( go_alone( take_goat( start ) ) ) ) )
% 0.70/1.10 ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 end
% 0.70/1.10 permutation0:
% 0.70/1.10 0 ==> 0
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 resolution: (151) {G1,W12,D8,L1,V0,M1} { p( south, north, south, north,
% 0.70/1.10 go_alone( take_wolf( take_goat( take_cabbage( go_alone( take_goat( start
% 0.70/1.10 ) ) ) ) ) ) ) }.
% 0.70/1.10 parent0[1]: (2) {G0,W14,D3,L2,V1,M1} I { p( south, north, south, north,
% 0.70/1.10 go_alone( X ) ), ! p( north, north, south, north, X ) }.
% 0.70/1.10 parent1[0]: (40) {G5,W11,D7,L1,V0,M1} R(36,5) { p( north, north, south,
% 0.70/1.10 north, take_wolf( take_goat( take_cabbage( go_alone( take_goat( start ) )
% 0.70/1.10 ) ) ) ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 X := take_wolf( take_goat( take_cabbage( go_alone( take_goat( start ) )
% 0.70/1.10 ) ) )
% 0.70/1.10 end
% 0.70/1.10 substitution1:
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 subsumption: (88) {G6,W12,D8,L1,V0,M1} R(40,2) { p( south, north, south,
% 0.70/1.10 north, go_alone( take_wolf( take_goat( take_cabbage( go_alone( take_goat
% 0.70/1.10 ( start ) ) ) ) ) ) ) }.
% 0.70/1.10 parent0: (151) {G1,W12,D8,L1,V0,M1} { p( south, north, south, north,
% 0.70/1.10 go_alone( take_wolf( take_goat( take_cabbage( go_alone( take_goat( start
% 0.70/1.10 ) ) ) ) ) ) ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 end
% 0.70/1.10 permutation0:
% 0.70/1.10 0 ==> 0
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 resolution: (152) {G1,W13,D9,L1,V0,M1} { p( north, north, north, north,
% 0.70/1.10 take_goat( go_alone( take_wolf( take_goat( take_cabbage( go_alone(
% 0.70/1.10 take_goat( start ) ) ) ) ) ) ) ) }.
% 0.70/1.10 parent0[1]: (9) {G0,W14,D3,L2,V3,M1} I { p( north, X, north, Y, take_goat(
% 0.70/1.10 Z ) ), ! p( south, X, south, Y, Z ) }.
% 0.70/1.10 parent1[0]: (88) {G6,W12,D8,L1,V0,M1} R(40,2) { p( south, north, south,
% 0.70/1.10 north, go_alone( take_wolf( take_goat( take_cabbage( go_alone( take_goat
% 0.70/1.10 ( start ) ) ) ) ) ) ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 X := north
% 0.70/1.10 Y := north
% 0.70/1.10 Z := go_alone( take_wolf( take_goat( take_cabbage( go_alone( take_goat(
% 0.70/1.10 start ) ) ) ) ) )
% 0.70/1.10 end
% 0.70/1.10 substitution1:
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 resolution: (153) {G1,W0,D0,L0,V0,M0} { }.
% 0.70/1.10 parent0[0]: (15) {G0,W7,D2,L1,V1,M1} I { ! p( north, north, north, north, X
% 0.70/1.10 ) }.
% 0.70/1.10 parent1[0]: (152) {G1,W13,D9,L1,V0,M1} { p( north, north, north, north,
% 0.70/1.10 take_goat( go_alone( take_wolf( take_goat( take_cabbage( go_alone(
% 0.70/1.10 take_goat( start ) ) ) ) ) ) ) ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 X := take_goat( go_alone( take_wolf( take_goat( take_cabbage( go_alone(
% 0.70/1.10 take_goat( start ) ) ) ) ) ) )
% 0.70/1.10 end
% 0.70/1.10 substitution1:
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 subsumption: (128) {G7,W0,D0,L0,V0,M0} R(88,9);r(15) { }.
% 0.70/1.10 parent0: (153) {G1,W0,D0,L0,V0,M0} { }.
% 0.70/1.10 substitution0:
% 0.70/1.10 end
% 0.70/1.10 permutation0:
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 Proof check complete!
% 0.70/1.10
% 0.70/1.10 Memory use:
% 0.70/1.10
% 0.70/1.10 space for terms: 2069
% 0.70/1.10 space for clauses: 8940
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 clauses generated: 129
% 0.70/1.10 clauses kept: 129
% 0.70/1.10 clauses selected: 68
% 0.70/1.10 clauses deleted: 0
% 0.70/1.10 clauses inuse deleted: 0
% 0.70/1.10
% 0.70/1.10 subsentry: 0
% 0.70/1.10 literals s-matched: 0
% 0.70/1.10 literals matched: 0
% 0.70/1.10 full subsumption: 0
% 0.70/1.10
% 0.70/1.10 checksum: 1980424562
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Bliksem ended
%------------------------------------------------------------------------------