TSTP Solution File: GRP001+6 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP001+6 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n022.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 : Sat Jul 16 07:34:12 EDT 2022
% Result : Theorem 1.37s 1.74s
% Output : Refutation 1.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : GRP001+6 : TPTP v8.1.0. Released v3.1.0.
% 0.13/0.14 % Command : bliksem %s
% 0.14/0.36 % Computer : n022.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % DateTime : Mon Jun 13 14:44:48 EDT 2022
% 0.14/0.36 % CPUTime :
% 1.37/1.74 *** allocated 10000 integers for termspace/termends
% 1.37/1.74 *** allocated 10000 integers for clauses
% 1.37/1.74 *** allocated 10000 integers for justifications
% 1.37/1.74 Bliksem 1.12
% 1.37/1.74
% 1.37/1.74
% 1.37/1.74 Automatic Strategy Selection
% 1.37/1.74
% 1.37/1.74
% 1.37/1.74 Clauses:
% 1.37/1.74
% 1.37/1.74 { product( X, Y, skol2( X, Y ) ) }.
% 1.37/1.74 { ! product( X, T, U ), ! product( T, W, Y ), ! product( U, W, Z ), product
% 1.37/1.74 ( X, Y, Z ) }.
% 1.37/1.74 { ! product( T, U, Y ), ! product( U, X, W ), ! product( T, W, Z ), product
% 1.37/1.74 ( Y, X, Z ) }.
% 1.37/1.74 { product( X, skol1, X ) }.
% 1.37/1.74 { product( skol1, X, X ) }.
% 1.37/1.74 { product( X, inverse( X ), skol1 ) }.
% 1.37/1.74 { product( inverse( X ), X, skol1 ) }.
% 1.37/1.74 { product( X, X, skol1 ) }.
% 1.37/1.74 { product( skol3, skol4, skol5 ) }.
% 1.37/1.74 { ! product( skol4, skol3, skol5 ) }.
% 1.37/1.74
% 1.37/1.74 percentage equality = 0.000000, percentage horn = 1.000000
% 1.37/1.74 This is a near-Horn, non-equality problem
% 1.37/1.74
% 1.37/1.74
% 1.37/1.74 Options Used:
% 1.37/1.74
% 1.37/1.74 useres = 1
% 1.37/1.74 useparamod = 0
% 1.37/1.74 useeqrefl = 0
% 1.37/1.74 useeqfact = 0
% 1.37/1.74 usefactor = 1
% 1.37/1.74 usesimpsplitting = 0
% 1.37/1.74 usesimpdemod = 0
% 1.37/1.74 usesimpres = 4
% 1.37/1.74
% 1.37/1.74 resimpinuse = 1000
% 1.37/1.74 resimpclauses = 20000
% 1.37/1.74 substype = standard
% 1.37/1.74 backwardsubs = 1
% 1.37/1.74 selectoldest = 5
% 1.37/1.74
% 1.37/1.74 litorderings [0] = split
% 1.37/1.74 litorderings [1] = liftord
% 1.37/1.74
% 1.37/1.74 termordering = none
% 1.37/1.74
% 1.37/1.74 litapriori = 1
% 1.37/1.74 termapriori = 0
% 1.37/1.74 litaposteriori = 0
% 1.37/1.74 termaposteriori = 0
% 1.37/1.74 demodaposteriori = 0
% 1.37/1.74 ordereqreflfact = 0
% 1.37/1.74
% 1.37/1.74 litselect = negative
% 1.37/1.74
% 1.37/1.74 maxweight = 30000
% 1.37/1.74 maxdepth = 30000
% 1.37/1.74 maxlength = 115
% 1.37/1.74 maxnrvars = 195
% 1.37/1.74 excuselevel = 0
% 1.37/1.74 increasemaxweight = 0
% 1.37/1.74
% 1.37/1.74 maxselected = 10000000
% 1.37/1.74 maxnrclauses = 10000000
% 1.37/1.74
% 1.37/1.74 showgenerated = 0
% 1.37/1.74 showkept = 0
% 1.37/1.74 showselected = 0
% 1.37/1.74 showdeleted = 0
% 1.37/1.74 showresimp = 1
% 1.37/1.74 showstatus = 2000
% 1.37/1.74
% 1.37/1.74 prologoutput = 0
% 1.37/1.74 nrgoals = 5000000
% 1.37/1.74 totalproof = 1
% 1.37/1.74
% 1.37/1.74 Symbols occurring in the translation:
% 1.37/1.74
% 1.37/1.74 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.37/1.74 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 1.37/1.74 ! [4, 1] (w:1, o:17, a:1, s:1, b:0),
% 1.37/1.74 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.37/1.74 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.37/1.74 product [39, 3] (w:1, o:48, a:1, s:1, b:0),
% 1.37/1.74 inverse [43, 1] (w:1, o:22, a:1, s:1, b:0),
% 1.37/1.74 skol1 [44, 0] (w:1, o:13, a:1, s:1, b:0),
% 1.37/1.74 skol2 [45, 2] (w:1, o:47, a:1, s:1, b:0),
% 1.37/1.74 skol3 [46, 0] (w:1, o:14, a:1, s:1, b:0),
% 1.37/1.74 skol4 [47, 0] (w:1, o:15, a:1, s:1, b:0),
% 1.37/1.74 skol5 [48, 0] (w:1, o:16, a:1, s:1, b:0).
% 1.37/1.74
% 1.37/1.74
% 1.37/1.74 Starting Search:
% 1.37/1.74
% 1.37/1.74 *** allocated 15000 integers for clauses
% 1.37/1.74 *** allocated 22500 integers for clauses
% 1.37/1.74 *** allocated 33750 integers for clauses
% 1.37/1.74 *** allocated 50625 integers for clauses
% 1.37/1.74 *** allocated 15000 integers for termspace/termends
% 1.37/1.74 *** allocated 75937 integers for clauses
% 1.37/1.74 Resimplifying inuse:
% 1.37/1.74 Done
% 1.37/1.74
% 1.37/1.74 *** allocated 22500 integers for termspace/termends
% 1.37/1.74 *** allocated 113905 integers for clauses
% 1.37/1.74 *** allocated 33750 integers for termspace/termends
% 1.37/1.74
% 1.37/1.74 Intermediate Status:
% 1.37/1.74 Generated: 3267
% 1.37/1.74 Kept: 2009
% 1.37/1.74 Inuse: 161
% 1.37/1.74 Deleted: 30
% 1.37/1.74 Deletedinuse: 25
% 1.37/1.74
% 1.37/1.74 Resimplifying inuse:
% 1.37/1.74 Done
% 1.37/1.74
% 1.37/1.74 *** allocated 170857 integers for clauses
% 1.37/1.74 *** allocated 50625 integers for termspace/termends
% 1.37/1.74 Resimplifying inuse:
% 1.37/1.74 Done
% 1.37/1.74
% 1.37/1.74 *** allocated 256285 integers for clauses
% 1.37/1.74 *** allocated 75937 integers for termspace/termends
% 1.37/1.74
% 1.37/1.74 Intermediate Status:
% 1.37/1.74 Generated: 6310
% 1.37/1.74 Kept: 4011
% 1.37/1.74 Inuse: 253
% 1.37/1.74 Deleted: 55
% 1.37/1.74 Deletedinuse: 34
% 1.37/1.74
% 1.37/1.74 Resimplifying inuse:
% 1.37/1.74 Done
% 1.37/1.74
% 1.37/1.74 *** allocated 384427 integers for clauses
% 1.37/1.74 Resimplifying inuse:
% 1.37/1.74 Done
% 1.37/1.74
% 1.37/1.74 *** allocated 113905 integers for termspace/termends
% 1.37/1.74
% 1.37/1.74 Intermediate Status:
% 1.37/1.74 Generated: 9286
% 1.37/1.74 Kept: 6013
% 1.37/1.74 Inuse: 338
% 1.37/1.74 Deleted: 74
% 1.37/1.74 Deletedinuse: 36
% 1.37/1.74
% 1.37/1.74 Resimplifying inuse:
% 1.37/1.74 Done
% 1.37/1.74
% 1.37/1.74 Resimplifying inuse:
% 1.37/1.74 Done
% 1.37/1.74
% 1.37/1.74 *** allocated 576640 integers for clauses
% 1.37/1.74
% 1.37/1.74 Intermediate Status:
% 1.37/1.74 Generated: 12261
% 1.37/1.74 Kept: 8024
% 1.37/1.74 Inuse: 398
% 1.37/1.74 Deleted: 90
% 1.37/1.74 Deletedinuse: 40
% 1.37/1.74
% 1.37/1.74 Resimplifying inuse:
% 1.37/1.74 Done
% 1.37/1.74
% 1.37/1.74 *** allocated 170857 integers for termspace/termends
% 1.37/1.74 Resimplifying inuse:
% 1.37/1.74 Done
% 1.37/1.74
% 1.37/1.74
% 1.37/1.74 Intermediate Status:
% 1.37/1.74 Generated: 15199
% 1.37/1.74 Kept: 10036
% 1.37/1.74 Inuse: 468
% 1.37/1.74 Deleted: 100
% 1.37/1.74 Deletedinuse: 43
% 1.37/1.74
% 1.37/1.74 Resimplifying inuse:
% 1.37/1.74 Done
% 1.37/1.74
% 1.37/1.74 *** allocated 864960 integers for clauses
% 1.37/1.74 Resimplifying inuse:
% 1.37/1.74 Done
% 1.37/1.74
% 1.37/1.74 *** allocated 256285 integers for termspace/termends
% 1.37/1.74
% 1.37/1.74 Intermediate Status:
% 1.37/1.74 Generated: 18433
% 1.37/1.74 Kept: 12059
% 1.37/1.74 Inuse: 540
% 1.37/1.74 Deleted: 107
% 1.37/1.74 Deletedinuse: 46
% 1.37/1.74
% 1.37/1.74 Resimplifying inuse:
% 1.37/1.74 Done
% 1.37/1.74
% 1.37/1.74 Resimplifying inuse:
% 1.37/1.74 Done
% 1.37/1.74
% 1.37/1.74
% 1.37/1.74 Intermediate Status:
% 1.37/1.74 Generated: 21508
% 1.37/1.74 Kept: 14060
% 1.37/1.74 Inuse: 591
% 1.37/1.74 Deleted: 111
% 1.37/1.74 Deletedinuse: 50
% 1.37/1.74
% 1.37/1.74 Resimplifying inuse:
% 1.37/1.74 Done
% 1.37/1.74
% 1.37/1.74 Resimplifying inuse:
% 1.37/1.74 Done
% 1.37/1.74
% 1.37/1.74
% 1.37/1.74 Bliksems!, er is een bewijs:
% 1.37/1.74 % SZS status Theorem
% 1.37/1.74 % SZS output start Refutation
% 1.37/1.74
% 1.37/1.74 (1) {G0,W19,D2,L4,V6,M1} I { ! product( T, W, Y ), ! product( X, T, U ),
% 1.37/1.74 product( X, Y, Z ), ! product( U, W, Z ) }.
% 1.37/1.74 (2) {G0,W19,D2,L4,V6,M1} I { ! product( T, U, Y ), ! product( T, W, Z ),
% 1.37/1.74 product( Y, X, Z ), ! product( U, X, W ) }.
% 1.37/1.74 (3) {G0,W4,D2,L1,V1,M1} I { product( X, skol1, X ) }.
% 1.37/1.74 (4) {G0,W4,D2,L1,V1,M1} I { product( skol1, X, X ) }.
% 1.37/1.74 (7) {G0,W4,D2,L1,V1,M1} I { product( X, X, skol1 ) }.
% 1.37/1.74 (8) {G0,W4,D2,L1,V0,M1} I { product( skol3, skol4, skol5 ) }.
% 1.37/1.74 (9) {G0,W5,D2,L1,V0,M1} I { ! product( skol4, skol3, skol5 ) }.
% 1.37/1.74 (24) {G1,W14,D2,L3,V4,M1} R(1,4) { ! product( X, Y, Z ), product( T, Z, Y )
% 1.37/1.74 , ! product( T, X, skol1 ) }.
% 1.37/1.74 (39) {G1,W14,D2,L3,V4,M1} R(2,7) { ! product( X, skol1, T ), product( Z, Y
% 1.37/1.74 , T ), ! product( X, Y, Z ) }.
% 1.37/1.74 (394) {G2,W9,D2,L2,V3,M1} R(24,7) { product( X, Z, Y ), ! product( X, Y, Z
% 1.37/1.74 ) }.
% 1.37/1.74 (740) {G3,W4,D2,L1,V0,M1} R(394,8) { product( skol3, skol5, skol4 ) }.
% 1.37/1.74 (1069) {G4,W9,D2,L2,V1,M1} R(39,740) { product( skol4, skol5, X ), !
% 1.37/1.74 product( skol3, skol1, X ) }.
% 1.37/1.74 (16017) {G5,W4,D2,L1,V0,M1} R(1069,3) { product( skol4, skol5, skol3 ) }.
% 1.37/1.74 (16033) {G6,W0,D0,L0,V0,M0} R(16017,394);r(9) { }.
% 1.37/1.74
% 1.37/1.74
% 1.37/1.74 % SZS output end Refutation
% 1.37/1.74 found a proof!
% 1.37/1.74
% 1.37/1.74
% 1.37/1.74 Unprocessed initial clauses:
% 1.37/1.74
% 1.37/1.74 (16035) {G0,W6,D3,L1,V2,M1} { product( X, Y, skol2( X, Y ) ) }.
% 1.37/1.74 (16036) {G0,W19,D2,L4,V6,M4} { ! product( X, T, U ), ! product( T, W, Y )
% 1.37/1.74 , ! product( U, W, Z ), product( X, Y, Z ) }.
% 1.37/1.74 (16037) {G0,W19,D2,L4,V6,M4} { ! product( T, U, Y ), ! product( U, X, W )
% 1.37/1.74 , ! product( T, W, Z ), product( Y, X, Z ) }.
% 1.37/1.74 (16038) {G0,W4,D2,L1,V1,M1} { product( X, skol1, X ) }.
% 1.37/1.74 (16039) {G0,W4,D2,L1,V1,M1} { product( skol1, X, X ) }.
% 1.37/1.74 (16040) {G0,W5,D3,L1,V1,M1} { product( X, inverse( X ), skol1 ) }.
% 1.37/1.74 (16041) {G0,W5,D3,L1,V1,M1} { product( inverse( X ), X, skol1 ) }.
% 1.37/1.74 (16042) {G0,W4,D2,L1,V1,M1} { product( X, X, skol1 ) }.
% 1.37/1.74 (16043) {G0,W4,D2,L1,V0,M1} { product( skol3, skol4, skol5 ) }.
% 1.37/1.74 (16044) {G0,W5,D2,L1,V0,M1} { ! product( skol4, skol3, skol5 ) }.
% 1.37/1.74
% 1.37/1.74
% 1.37/1.74 Total Proof:
% 1.37/1.74
% 1.37/1.74 subsumption: (1) {G0,W19,D2,L4,V6,M1} I { ! product( T, W, Y ), ! product(
% 1.37/1.74 X, T, U ), product( X, Y, Z ), ! product( U, W, Z ) }.
% 1.37/1.74 parent0: (16036) {G0,W19,D2,L4,V6,M4} { ! product( X, T, U ), ! product( T
% 1.37/1.74 , W, Y ), ! product( U, W, Z ), product( X, Y, Z ) }.
% 1.37/1.74 substitution0:
% 1.37/1.74 X := X
% 1.37/1.74 Y := Y
% 1.37/1.74 Z := Z
% 1.37/1.74 T := T
% 1.37/1.74 U := U
% 1.37/1.74 W := W
% 1.37/1.74 end
% 1.37/1.74 permutation0:
% 1.37/1.74 0 ==> 1
% 1.37/1.74 1 ==> 0
% 1.37/1.74 2 ==> 3
% 1.37/1.74 3 ==> 2
% 1.37/1.74 end
% 1.37/1.74
% 1.37/1.74 subsumption: (2) {G0,W19,D2,L4,V6,M1} I { ! product( T, U, Y ), ! product(
% 1.37/1.74 T, W, Z ), product( Y, X, Z ), ! product( U, X, W ) }.
% 1.37/1.74 parent0: (16037) {G0,W19,D2,L4,V6,M4} { ! product( T, U, Y ), ! product( U
% 1.37/1.74 , X, W ), ! product( T, W, Z ), product( Y, X, Z ) }.
% 1.37/1.74 substitution0:
% 1.37/1.74 X := X
% 1.37/1.74 Y := Y
% 1.37/1.74 Z := Z
% 1.37/1.74 T := T
% 1.37/1.74 U := U
% 1.37/1.74 W := W
% 1.37/1.74 end
% 1.37/1.74 permutation0:
% 1.37/1.74 0 ==> 0
% 1.37/1.74 1 ==> 3
% 1.37/1.74 2 ==> 1
% 1.37/1.74 3 ==> 2
% 1.37/1.74 end
% 1.37/1.74
% 1.37/1.74 subsumption: (3) {G0,W4,D2,L1,V1,M1} I { product( X, skol1, X ) }.
% 1.37/1.74 parent0: (16038) {G0,W4,D2,L1,V1,M1} { product( X, skol1, X ) }.
% 1.37/1.74 substitution0:
% 1.37/1.74 X := X
% 1.37/1.74 end
% 1.37/1.74 permutation0:
% 1.37/1.74 0 ==> 0
% 1.37/1.74 end
% 1.37/1.74
% 1.37/1.74 subsumption: (4) {G0,W4,D2,L1,V1,M1} I { product( skol1, X, X ) }.
% 1.37/1.74 parent0: (16039) {G0,W4,D2,L1,V1,M1} { product( skol1, X, X ) }.
% 1.37/1.74 substitution0:
% 1.37/1.74 X := X
% 1.37/1.74 end
% 1.37/1.74 permutation0:
% 1.37/1.74 0 ==> 0
% 1.37/1.74 end
% 1.37/1.74
% 1.37/1.74 subsumption: (7) {G0,W4,D2,L1,V1,M1} I { product( X, X, skol1 ) }.
% 1.37/1.74 parent0: (16042) {G0,W4,D2,L1,V1,M1} { product( X, X, skol1 ) }.
% 1.37/1.74 substitution0:
% 1.37/1.74 X := X
% 1.37/1.74 end
% 1.37/1.74 permutation0:
% 1.37/1.74 0 ==> 0
% 1.37/1.74 end
% 1.37/1.74
% 1.37/1.74 subsumption: (8) {G0,W4,D2,L1,V0,M1} I { product( skol3, skol4, skol5 ) }.
% 1.37/1.74 parent0: (16043) {G0,W4,D2,L1,V0,M1} { product( skol3, skol4, skol5 ) }.
% 1.37/1.74 substitution0:
% 1.37/1.74 end
% 1.37/1.74 permutation0:
% 1.37/1.74 0 ==> 0
% 1.37/1.74 end
% 1.37/1.74
% 1.37/1.74 subsumption: (9) {G0,W5,D2,L1,V0,M1} I { ! product( skol4, skol3, skol5 )
% 1.37/1.74 }.
% 1.37/1.74 parent0: (16044) {G0,W5,D2,L1,V0,M1} { ! product( skol4, skol3, skol5 )
% 1.37/1.74 }.
% 1.37/1.74 substitution0:
% 1.37/1.74 end
% 1.37/1.74 permutation0:
% 1.37/1.74 0 ==> 0
% 1.37/1.74 end
% 1.37/1.74
% 1.37/1.74 resolution: (16099) {G1,W14,D2,L3,V4,M3} { ! product( X, Y, Z ), ! product
% 1.37/1.74 ( T, X, skol1 ), product( T, Z, Y ) }.
% 1.37/1.74 parent0[3]: (1) {G0,W19,D2,L4,V6,M1} I { ! product( T, W, Y ), ! product( X
% 1.37/1.74 , T, U ), product( X, Y, Z ), ! product( U, W, Z ) }.
% 1.37/1.74 parent1[0]: (4) {G0,W4,D2,L1,V1,M1} I { product( skol1, X, X ) }.
% 1.37/1.74 substitution0:
% 1.37/1.74 X := T
% 1.37/1.74 Y := Z
% 1.37/1.74 Z := Y
% 1.37/1.74 T := X
% 1.37/1.74 U := skol1
% 1.37/1.74 W := Y
% 1.37/1.74 end
% 1.37/1.74 substitution1:
% 1.37/1.74 X := Y
% 1.37/1.74 end
% 1.37/1.74
% 1.37/1.74 subsumption: (24) {G1,W14,D2,L3,V4,M1} R(1,4) { ! product( X, Y, Z ),
% 1.37/1.74 product( T, Z, Y ), ! product( T, X, skol1 ) }.
% 1.37/1.74 parent0: (16099) {G1,W14,D2,L3,V4,M3} { ! product( X, Y, Z ), ! product( T
% 1.37/1.74 , X, skol1 ), product( T, Z, Y ) }.
% 1.37/1.74 substitution0:
% 1.37/1.74 X := X
% 1.37/1.74 Y := Y
% 1.37/1.74 Z := Z
% 1.37/1.74 T := T
% 1.37/1.74 end
% 1.37/1.74 permutation0:
% 1.37/1.74 0 ==> 0
% 1.37/1.74 1 ==> 2
% 1.37/1.74 2 ==> 1
% 1.37/1.74 end
% 1.37/1.74
% 1.37/1.74 resolution: (16105) {G1,W14,D2,L3,V4,M3} { ! product( X, Y, Z ), ! product
% 1.37/1.74 ( X, skol1, T ), product( Z, Y, T ) }.
% 1.37/1.74 parent0[3]: (2) {G0,W19,D2,L4,V6,M1} I { ! product( T, U, Y ), ! product( T
% 1.37/1.74 , W, Z ), product( Y, X, Z ), ! product( U, X, W ) }.
% 1.37/1.74 parent1[0]: (7) {G0,W4,D2,L1,V1,M1} I { product( X, X, skol1 ) }.
% 1.37/1.74 substitution0:
% 1.37/1.74 X := Y
% 1.37/1.74 Y := Z
% 1.37/1.74 Z := T
% 1.37/1.74 T := X
% 1.37/1.74 U := Y
% 1.37/1.74 W := skol1
% 1.37/1.74 end
% 1.37/1.74 substitution1:
% 1.37/1.74 X := Y
% 1.37/1.74 end
% 1.37/1.74
% 1.37/1.74 subsumption: (39) {G1,W14,D2,L3,V4,M1} R(2,7) { ! product( X, skol1, T ),
% 1.37/1.74 product( Z, Y, T ), ! product( X, Y, Z ) }.
% 1.37/1.74 parent0: (16105) {G1,W14,D2,L3,V4,M3} { ! product( X, Y, Z ), ! product( X
% 1.37/1.74 , skol1, T ), product( Z, Y, T ) }.
% 1.37/1.74 substitution0:
% 1.37/1.74 X := X
% 1.37/1.74 Y := Y
% 1.37/1.74 Z := Z
% 1.37/1.74 T := T
% 1.37/1.74 end
% 1.37/1.74 permutation0:
% 1.37/1.74 0 ==> 2
% 1.37/1.74 1 ==> 0
% 1.37/1.74 2 ==> 1
% 1.37/1.74 end
% 1.37/1.74
% 1.37/1.74 resolution: (16110) {G1,W9,D2,L2,V3,M2} { ! product( X, Y, Z ), product( X
% 1.37/1.74 , Z, Y ) }.
% 1.37/1.74 parent0[2]: (24) {G1,W14,D2,L3,V4,M1} R(1,4) { ! product( X, Y, Z ),
% 1.37/1.74 product( T, Z, Y ), ! product( T, X, skol1 ) }.
% 1.37/1.74 parent1[0]: (7) {G0,W4,D2,L1,V1,M1} I { product( X, X, skol1 ) }.
% 1.37/1.74 substitution0:
% 1.37/1.74 X := X
% 1.37/1.74 Y := Y
% 1.37/1.74 Z := Z
% 1.37/1.74 T := X
% 1.37/1.74 end
% 1.37/1.74 substitution1:
% 1.37/1.74 X := X
% 1.37/1.74 end
% 1.37/1.74
% 1.37/1.74 subsumption: (394) {G2,W9,D2,L2,V3,M1} R(24,7) { product( X, Z, Y ), !
% 1.37/1.74 product( X, Y, Z ) }.
% 1.37/1.74 parent0: (16110) {G1,W9,D2,L2,V3,M2} { ! product( X, Y, Z ), product( X, Z
% 1.37/1.74 , Y ) }.
% 1.37/1.74 substitution0:
% 1.37/1.74 X := X
% 1.37/1.74 Y := Y
% 1.37/1.74 Z := Z
% 1.37/1.74 end
% 1.37/1.74 permutation0:
% 1.37/1.74 0 ==> 1
% 1.37/1.74 1 ==> 0
% 1.37/1.74 end
% 1.37/1.74
% 1.37/1.74 resolution: (16111) {G1,W4,D2,L1,V0,M1} { product( skol3, skol5, skol4 )
% 1.37/1.74 }.
% 1.37/1.74 parent0[1]: (394) {G2,W9,D2,L2,V3,M1} R(24,7) { product( X, Z, Y ), !
% 1.37/1.74 product( X, Y, Z ) }.
% 1.37/1.74 parent1[0]: (8) {G0,W4,D2,L1,V0,M1} I { product( skol3, skol4, skol5 ) }.
% 1.37/1.74 substitution0:
% 1.37/1.74 X := skol3
% 1.37/1.74 Y := skol4
% 1.37/1.74 Z := skol5
% 1.37/1.74 end
% 1.37/1.74 substitution1:
% 1.37/1.74 end
% 1.37/1.74
% 1.37/1.74 subsumption: (740) {G3,W4,D2,L1,V0,M1} R(394,8) { product( skol3, skol5,
% 1.37/1.74 skol4 ) }.
% 1.37/1.74 parent0: (16111) {G1,W4,D2,L1,V0,M1} { product( skol3, skol5, skol4 ) }.
% 1.37/1.74 substitution0:
% 1.37/1.74 end
% 1.37/1.74 permutation0:
% 1.37/1.74 0 ==> 0
% 1.37/1.74 end
% 1.37/1.74
% 1.37/1.74 resolution: (16112) {G2,W9,D2,L2,V1,M2} { ! product( skol3, skol1, X ),
% 1.37/1.74 product( skol4, skol5, X ) }.
% 1.37/1.74 parent0[2]: (39) {G1,W14,D2,L3,V4,M1} R(2,7) { ! product( X, skol1, T ),
% 1.37/1.74 product( Z, Y, T ), ! product( X, Y, Z ) }.
% 1.37/1.74 parent1[0]: (740) {G3,W4,D2,L1,V0,M1} R(394,8) { product( skol3, skol5,
% 1.37/1.74 skol4 ) }.
% 1.37/1.74 substitution0:
% 1.37/1.74 X := skol3
% 1.37/1.74 Y := skol5
% 1.37/1.74 Z := skol4
% 1.37/1.74 T := X
% 1.37/1.74 end
% 1.37/1.74 substitution1:
% 1.37/1.74 end
% 1.37/1.74
% 1.37/1.74 subsumption: (1069) {G4,W9,D2,L2,V1,M1} R(39,740) { product( skol4, skol5,
% 1.37/1.74 X ), ! product( skol3, skol1, X ) }.
% 1.37/1.74 parent0: (16112) {G2,W9,D2,L2,V1,M2} { ! product( skol3, skol1, X ),
% 1.37/1.74 product( skol4, skol5, X ) }.
% 1.37/1.74 substitution0:
% 1.37/1.74 X := X
% 1.37/1.74 end
% 1.37/1.74 permutation0:
% 1.37/1.74 0 ==> 1
% 1.37/1.74 1 ==> 0
% 1.37/1.74 end
% 1.37/1.74
% 1.37/1.74 resolution: (16113) {G1,W4,D2,L1,V0,M1} { product( skol4, skol5, skol3 )
% 1.37/1.74 }.
% 1.37/1.74 parent0[1]: (1069) {G4,W9,D2,L2,V1,M1} R(39,740) { product( skol4, skol5, X
% 1.37/1.74 ), ! product( skol3, skol1, X ) }.
% 1.37/1.74 parent1[0]: (3) {G0,W4,D2,L1,V1,M1} I { product( X, skol1, X ) }.
% 1.37/1.74 substitution0:
% 1.37/1.74 X := skol3
% 1.37/1.74 end
% 1.37/1.74 substitution1:
% 1.37/1.74 X := skol3
% 1.37/1.74 end
% 1.37/1.74
% 1.37/1.74 subsumption: (16017) {G5,W4,D2,L1,V0,M1} R(1069,3) { product( skol4, skol5
% 1.37/1.74 , skol3 ) }.
% 1.37/1.74 parent0: (16113) {G1,W4,D2,L1,V0,M1} { product( skol4, skol5, skol3 ) }.
% 1.37/1.74 substitution0:
% 1.37/1.74 end
% 1.37/1.74 permutation0:
% 1.37/1.74 0 ==> 0
% 1.37/1.74 end
% 1.37/1.74
% 1.37/1.74 resolution: (16114) {G3,W4,D2,L1,V0,M1} { product( skol4, skol3, skol5 )
% 1.37/1.74 }.
% 1.37/1.74 parent0[1]: (394) {G2,W9,D2,L2,V3,M1} R(24,7) { product( X, Z, Y ), !
% 1.37/1.74 product( X, Y, Z ) }.
% 1.37/1.74 parent1[0]: (16017) {G5,W4,D2,L1,V0,M1} R(1069,3) { product( skol4, skol5,
% 1.37/1.74 skol3 ) }.
% 1.37/1.74 substitution0:
% 1.37/1.74 X := skol4
% 1.37/1.74 Y := skol5
% 1.37/1.74 Z := skol3
% 1.37/1.74 end
% 1.37/1.74 substitution1:
% 1.37/1.74 end
% 1.37/1.74
% 1.37/1.74 resolution: (16115) {G1,W0,D0,L0,V0,M0} { }.
% 1.37/1.74 parent0[0]: (9) {G0,W5,D2,L1,V0,M1} I { ! product( skol4, skol3, skol5 )
% 1.37/1.74 }.
% 1.37/1.74 parent1[0]: (16114) {G3,W4,D2,L1,V0,M1} { product( skol4, skol3, skol5 )
% 1.37/1.74 }.
% 1.37/1.74 substitution0:
% 1.37/1.74 end
% 1.37/1.74 substitution1:
% 1.37/1.74 end
% 1.37/1.74
% 1.37/1.74 subsumption: (16033) {G6,W0,D0,L0,V0,M0} R(16017,394);r(9) { }.
% 1.37/1.74 parent0: (16115) {G1,W0,D0,L0,V0,M0} { }.
% 1.37/1.74 substitution0:
% 1.37/1.74 end
% 1.37/1.74 permutation0:
% 1.37/1.74 end
% 1.37/1.74
% 1.37/1.74 Proof check complete!
% 1.37/1.74
% 1.37/1.74 Memory use:
% 1.37/1.74
% 1.37/1.74 space for terms: 227200
% 1.37/1.74 space for clauses: 853083
% 1.37/1.74
% 1.37/1.74
% 1.37/1.74 clauses generated: 26055
% 1.37/1.74 clauses kept: 16034
% 1.37/1.74 clauses selected: 658
% 1.37/1.74 clauses deleted: 144
% 1.37/1.74 clauses inuse deleted: 58
% 1.37/1.74
% 1.37/1.74 subsentry: 233445
% 1.37/1.74 literals s-matched: 107760
% 1.37/1.74 literals matched: 92167
% 1.37/1.74 full subsumption: 9336
% 1.37/1.74
% 1.37/1.74 checksum: -843229118
% 1.37/1.74
% 1.37/1.74
% 1.37/1.74 Bliksem ended
%------------------------------------------------------------------------------