TSTP Solution File: SYN078+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN078+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n028.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 02:47:31 EDT 2022
% Result : Theorem 0.43s 1.05s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN078+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Mon Jul 11 12:21:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.43/1.05 *** allocated 10000 integers for termspace/termends
% 0.43/1.05 *** allocated 10000 integers for clauses
% 0.43/1.05 *** allocated 10000 integers for justifications
% 0.43/1.05 Bliksem 1.12
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 Automatic Strategy Selection
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 Clauses:
% 0.43/1.05
% 0.43/1.05 { alpha3, ! big_p( X ), big_p( f( X ) ) }.
% 0.43/1.05 { alpha3, ! alpha1 }.
% 0.43/1.05 { ! alpha3, alpha1 }.
% 0.43/1.05 { ! alpha3, big_p( skol1 ) }.
% 0.43/1.05 { ! alpha3, ! big_p( f( skol1 ) ) }.
% 0.43/1.05 { ! alpha1, ! big_p( X ), big_p( f( X ) ), alpha3 }.
% 0.43/1.05 { ! alpha1, ! alpha2( X ), big_p( X ) }.
% 0.43/1.05 { alpha2( skol2 ), alpha1 }.
% 0.43/1.05 { ! big_p( skol2 ), alpha1 }.
% 0.43/1.05 { ! alpha2( X ), big_p( skol3( Y ) ) }.
% 0.43/1.05 { ! alpha2( X ), X = f( skol3( X ) ) }.
% 0.43/1.05 { ! big_p( Y ), ! X = f( Y ), alpha2( X ) }.
% 0.43/1.05
% 0.43/1.05 percentage equality = 0.080000, percentage horn = 0.818182
% 0.43/1.05 This is a problem with some equality
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 Options Used:
% 0.43/1.05
% 0.43/1.05 useres = 1
% 0.43/1.05 useparamod = 1
% 0.43/1.05 useeqrefl = 1
% 0.43/1.05 useeqfact = 1
% 0.43/1.05 usefactor = 1
% 0.43/1.05 usesimpsplitting = 0
% 0.43/1.05 usesimpdemod = 5
% 0.43/1.05 usesimpres = 3
% 0.43/1.05
% 0.43/1.05 resimpinuse = 1000
% 0.43/1.05 resimpclauses = 20000
% 0.43/1.05 substype = eqrewr
% 0.43/1.05 backwardsubs = 1
% 0.43/1.05 selectoldest = 5
% 0.43/1.05
% 0.43/1.05 litorderings [0] = split
% 0.43/1.05 litorderings [1] = extend the termordering, first sorting on arguments
% 0.43/1.05
% 0.43/1.05 termordering = kbo
% 0.43/1.05
% 0.43/1.05 litapriori = 0
% 0.43/1.05 termapriori = 1
% 0.43/1.05 litaposteriori = 0
% 0.43/1.05 termaposteriori = 0
% 0.43/1.05 demodaposteriori = 0
% 0.43/1.05 ordereqreflfact = 0
% 0.43/1.05
% 0.43/1.05 litselect = negord
% 0.43/1.05
% 0.43/1.05 maxweight = 15
% 0.43/1.05 maxdepth = 30000
% 0.43/1.05 maxlength = 115
% 0.43/1.05 maxnrvars = 195
% 0.43/1.05 excuselevel = 1
% 0.43/1.05 increasemaxweight = 1
% 0.43/1.05
% 0.43/1.05 maxselected = 10000000
% 0.43/1.05 maxnrclauses = 10000000
% 0.43/1.05
% 0.43/1.05 showgenerated = 0
% 0.43/1.05 showkept = 0
% 0.43/1.05 showselected = 0
% 0.43/1.05 showdeleted = 0
% 0.43/1.05 showresimp = 1
% 0.43/1.05 showstatus = 2000
% 0.43/1.05
% 0.43/1.05 prologoutput = 0
% 0.43/1.05 nrgoals = 5000000
% 0.43/1.05 totalproof = 1
% 0.43/1.05
% 0.43/1.05 Symbols occurring in the translation:
% 0.43/1.05
% 0.43/1.05 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.43/1.05 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.43/1.05 ! [4, 1] (w:0, o:13, a:1, s:1, b:0),
% 0.43/1.05 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.05 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.05 big_p [37, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.43/1.05 f [38, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.43/1.05 alpha1 [40, 0] (w:1, o:9, a:1, s:1, b:1),
% 0.43/1.05 alpha2 [41, 1] (w:1, o:18, a:1, s:1, b:1),
% 0.43/1.05 alpha3 [42, 0] (w:1, o:10, a:1, s:1, b:1),
% 0.43/1.05 skol1 [43, 0] (w:1, o:11, a:1, s:1, b:1),
% 0.43/1.05 skol2 [44, 0] (w:1, o:12, a:1, s:1, b:1),
% 0.43/1.05 skol3 [45, 1] (w:1, o:21, a:1, s:1, b:1).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 Starting Search:
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 Bliksems!, er is een bewijs:
% 0.43/1.05 % SZS status Theorem
% 0.43/1.05 % SZS output start Refutation
% 0.43/1.05
% 0.43/1.05 (0) {G0,W6,D3,L3,V1,M3} I { alpha3, ! big_p( X ), big_p( f( X ) ) }.
% 0.43/1.05 (1) {G0,W2,D1,L2,V0,M2} I { alpha3, ! alpha1 }.
% 0.43/1.05 (2) {G0,W2,D1,L2,V0,M2} I { ! alpha3, alpha1 }.
% 0.43/1.05 (3) {G0,W3,D2,L2,V0,M2} I { ! alpha3, big_p( skol1 ) }.
% 0.43/1.05 (4) {G0,W4,D3,L2,V0,M2} I { ! alpha3, ! big_p( f( skol1 ) ) }.
% 0.43/1.05 (5) {G0,W5,D2,L3,V1,M3} I { ! alpha1, ! alpha2( X ), big_p( X ) }.
% 0.43/1.05 (6) {G0,W3,D2,L2,V0,M2} I { alpha2( skol2 ), alpha1 }.
% 0.43/1.05 (7) {G0,W3,D2,L2,V0,M2} I { ! big_p( skol2 ), alpha1 }.
% 0.43/1.05 (8) {G0,W5,D3,L2,V2,M2} I { ! alpha2( X ), big_p( skol3( Y ) ) }.
% 0.43/1.05 (9) {G0,W7,D4,L2,V1,M2} I { ! alpha2( X ), f( skol3( X ) ) ==> X }.
% 0.43/1.05 (10) {G0,W8,D3,L3,V2,M3} I { ! big_p( Y ), ! X = f( Y ), alpha2( X ) }.
% 0.43/1.05 (12) {G1,W3,D2,L2,V0,M2} R(7,1) { ! big_p( skol2 ), alpha3 }.
% 0.43/1.05 (13) {G1,W3,D2,L2,V0,M2} R(6,1) { alpha2( skol2 ), alpha3 }.
% 0.43/1.05 (26) {G1,W4,D3,L2,V0,M2} R(5,4);r(2) { ! alpha2( f( skol1 ) ), ! alpha3 }.
% 0.43/1.05 (33) {G2,W4,D3,L2,V1,M2} R(8,13) { big_p( skol3( X ) ), alpha3 }.
% 0.43/1.05 (44) {G3,W5,D2,L3,V1,M3} P(9,0);r(33) { alpha3, big_p( X ), ! alpha2( X )
% 0.43/1.05 }.
% 0.43/1.05 (51) {G4,W1,D1,L1,V0,M1} R(44,13);f;r(12) { alpha3 }.
% 0.43/1.05 (60) {G5,W2,D2,L1,V0,M1} R(51,3) { big_p( skol1 ) }.
% 0.43/1.05 (66) {G5,W7,D3,L2,V1,M2} R(10,26);r(51) { ! big_p( X ), ! f( skol1 ) = f( X
% 0.43/1.05 ) }.
% 0.43/1.05 (72) {G6,W0,D0,L0,V0,M0} Q(66);r(60) { }.
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 % SZS output end Refutation
% 0.43/1.05 found a proof!
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 Unprocessed initial clauses:
% 0.43/1.05
% 0.43/1.05 (74) {G0,W6,D3,L3,V1,M3} { alpha3, ! big_p( X ), big_p( f( X ) ) }.
% 0.43/1.05 (75) {G0,W2,D1,L2,V0,M2} { alpha3, ! alpha1 }.
% 0.43/1.05 (76) {G0,W2,D1,L2,V0,M2} { ! alpha3, alpha1 }.
% 0.43/1.05 (77) {G0,W3,D2,L2,V0,M2} { ! alpha3, big_p( skol1 ) }.
% 0.43/1.05 (78) {G0,W4,D3,L2,V0,M2} { ! alpha3, ! big_p( f( skol1 ) ) }.
% 0.43/1.05 (79) {G0,W7,D3,L4,V1,M4} { ! alpha1, ! big_p( X ), big_p( f( X ) ), alpha3
% 0.43/1.05 }.
% 0.43/1.05 (80) {G0,W5,D2,L3,V1,M3} { ! alpha1, ! alpha2( X ), big_p( X ) }.
% 0.43/1.05 (81) {G0,W3,D2,L2,V0,M2} { alpha2( skol2 ), alpha1 }.
% 0.43/1.05 (82) {G0,W3,D2,L2,V0,M2} { ! big_p( skol2 ), alpha1 }.
% 0.43/1.05 (83) {G0,W5,D3,L2,V2,M2} { ! alpha2( X ), big_p( skol3( Y ) ) }.
% 0.43/1.05 (84) {G0,W7,D4,L2,V1,M2} { ! alpha2( X ), X = f( skol3( X ) ) }.
% 0.43/1.05 (85) {G0,W8,D3,L3,V2,M3} { ! big_p( Y ), ! X = f( Y ), alpha2( X ) }.
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 Total Proof:
% 0.43/1.05
% 0.43/1.05 subsumption: (0) {G0,W6,D3,L3,V1,M3} I { alpha3, ! big_p( X ), big_p( f( X
% 0.43/1.05 ) ) }.
% 0.43/1.05 parent0: (74) {G0,W6,D3,L3,V1,M3} { alpha3, ! big_p( X ), big_p( f( X ) )
% 0.43/1.05 }.
% 0.43/1.05 substitution0:
% 0.43/1.05 X := X
% 0.43/1.05 end
% 0.43/1.05 permutation0:
% 0.43/1.05 0 ==> 0
% 0.43/1.05 1 ==> 1
% 0.43/1.05 2 ==> 2
% 0.43/1.05 end
% 0.43/1.05
% 0.43/1.05 subsumption: (1) {G0,W2,D1,L2,V0,M2} I { alpha3, ! alpha1 }.
% 0.43/1.05 parent0: (75) {G0,W2,D1,L2,V0,M2} { alpha3, ! alpha1 }.
% 0.43/1.05 substitution0:
% 0.43/1.05 end
% 0.43/1.05 permutation0:
% 0.43/1.05 0 ==> 0
% 0.43/1.05 1 ==> 1
% 0.43/1.05 end
% 0.43/1.05
% 0.43/1.05 subsumption: (2) {G0,W2,D1,L2,V0,M2} I { ! alpha3, alpha1 }.
% 0.43/1.05 parent0: (76) {G0,W2,D1,L2,V0,M2} { ! alpha3, alpha1 }.
% 0.43/1.05 substitution0:
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 1 ==> 1
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (3) {G0,W3,D2,L2,V0,M2} I { ! alpha3, big_p( skol1 ) }.
% 0.43/1.06 parent0: (77) {G0,W3,D2,L2,V0,M2} { ! alpha3, big_p( skol1 ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 1 ==> 1
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (4) {G0,W4,D3,L2,V0,M2} I { ! alpha3, ! big_p( f( skol1 ) )
% 0.43/1.06 }.
% 0.43/1.06 parent0: (78) {G0,W4,D3,L2,V0,M2} { ! alpha3, ! big_p( f( skol1 ) ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 1 ==> 1
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (5) {G0,W5,D2,L3,V1,M3} I { ! alpha1, ! alpha2( X ), big_p( X
% 0.43/1.06 ) }.
% 0.43/1.06 parent0: (80) {G0,W5,D2,L3,V1,M3} { ! alpha1, ! alpha2( X ), big_p( X )
% 0.43/1.06 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 1 ==> 1
% 0.43/1.06 2 ==> 2
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (6) {G0,W3,D2,L2,V0,M2} I { alpha2( skol2 ), alpha1 }.
% 0.43/1.06 parent0: (81) {G0,W3,D2,L2,V0,M2} { alpha2( skol2 ), alpha1 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 1 ==> 1
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (7) {G0,W3,D2,L2,V0,M2} I { ! big_p( skol2 ), alpha1 }.
% 0.43/1.06 parent0: (82) {G0,W3,D2,L2,V0,M2} { ! big_p( skol2 ), alpha1 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 1 ==> 1
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (8) {G0,W5,D3,L2,V2,M2} I { ! alpha2( X ), big_p( skol3( Y ) )
% 0.43/1.06 }.
% 0.43/1.06 parent0: (83) {G0,W5,D3,L2,V2,M2} { ! alpha2( X ), big_p( skol3( Y ) ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 Y := Y
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 1 ==> 1
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 eqswap: (86) {G0,W7,D4,L2,V1,M2} { f( skol3( X ) ) = X, ! alpha2( X ) }.
% 0.43/1.06 parent0[1]: (84) {G0,W7,D4,L2,V1,M2} { ! alpha2( X ), X = f( skol3( X ) )
% 0.43/1.06 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (9) {G0,W7,D4,L2,V1,M2} I { ! alpha2( X ), f( skol3( X ) ) ==>
% 0.43/1.06 X }.
% 0.43/1.06 parent0: (86) {G0,W7,D4,L2,V1,M2} { f( skol3( X ) ) = X, ! alpha2( X ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 1
% 0.43/1.06 1 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (10) {G0,W8,D3,L3,V2,M3} I { ! big_p( Y ), ! X = f( Y ),
% 0.43/1.06 alpha2( X ) }.
% 0.43/1.06 parent0: (85) {G0,W8,D3,L3,V2,M3} { ! big_p( Y ), ! X = f( Y ), alpha2( X
% 0.43/1.06 ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 Y := Y
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 1 ==> 1
% 0.43/1.06 2 ==> 2
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (89) {G1,W3,D2,L2,V0,M2} { alpha3, ! big_p( skol2 ) }.
% 0.43/1.06 parent0[1]: (1) {G0,W2,D1,L2,V0,M2} I { alpha3, ! alpha1 }.
% 0.43/1.06 parent1[1]: (7) {G0,W3,D2,L2,V0,M2} I { ! big_p( skol2 ), alpha1 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (12) {G1,W3,D2,L2,V0,M2} R(7,1) { ! big_p( skol2 ), alpha3 }.
% 0.43/1.06 parent0: (89) {G1,W3,D2,L2,V0,M2} { alpha3, ! big_p( skol2 ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 1
% 0.43/1.06 1 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (90) {G1,W3,D2,L2,V0,M2} { alpha3, alpha2( skol2 ) }.
% 0.43/1.06 parent0[1]: (1) {G0,W2,D1,L2,V0,M2} I { alpha3, ! alpha1 }.
% 0.43/1.06 parent1[1]: (6) {G0,W3,D2,L2,V0,M2} I { alpha2( skol2 ), alpha1 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (13) {G1,W3,D2,L2,V0,M2} R(6,1) { alpha2( skol2 ), alpha3 }.
% 0.43/1.06 parent0: (90) {G1,W3,D2,L2,V0,M2} { alpha3, alpha2( skol2 ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 1
% 0.43/1.06 1 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (91) {G1,W5,D3,L3,V0,M3} { ! alpha3, ! alpha1, ! alpha2( f(
% 0.43/1.06 skol1 ) ) }.
% 0.43/1.06 parent0[1]: (4) {G0,W4,D3,L2,V0,M2} I { ! alpha3, ! big_p( f( skol1 ) ) }.
% 0.43/1.06 parent1[2]: (5) {G0,W5,D2,L3,V1,M3} I { ! alpha1, ! alpha2( X ), big_p( X )
% 0.43/1.06 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 X := f( skol1 )
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (92) {G1,W5,D3,L3,V0,M3} { ! alpha3, ! alpha2( f( skol1 ) ), !
% 0.43/1.06 alpha3 }.
% 0.43/1.06 parent0[1]: (91) {G1,W5,D3,L3,V0,M3} { ! alpha3, ! alpha1, ! alpha2( f(
% 0.43/1.06 skol1 ) ) }.
% 0.43/1.06 parent1[1]: (2) {G0,W2,D1,L2,V0,M2} I { ! alpha3, alpha1 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 factor: (93) {G1,W4,D3,L2,V0,M2} { ! alpha3, ! alpha2( f( skol1 ) ) }.
% 0.43/1.06 parent0[0, 2]: (92) {G1,W5,D3,L3,V0,M3} { ! alpha3, ! alpha2( f( skol1 ) )
% 0.43/1.06 , ! alpha3 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (26) {G1,W4,D3,L2,V0,M2} R(5,4);r(2) { ! alpha2( f( skol1 ) )
% 0.43/1.06 , ! alpha3 }.
% 0.43/1.06 parent0: (93) {G1,W4,D3,L2,V0,M2} { ! alpha3, ! alpha2( f( skol1 ) ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 1
% 0.43/1.06 1 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (94) {G1,W4,D3,L2,V1,M2} { big_p( skol3( X ) ), alpha3 }.
% 0.43/1.06 parent0[0]: (8) {G0,W5,D3,L2,V2,M2} I { ! alpha2( X ), big_p( skol3( Y ) )
% 0.43/1.06 }.
% 0.43/1.06 parent1[0]: (13) {G1,W3,D2,L2,V0,M2} R(6,1) { alpha2( skol2 ), alpha3 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := skol2
% 0.43/1.06 Y := X
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (33) {G2,W4,D3,L2,V1,M2} R(8,13) { big_p( skol3( X ) ), alpha3
% 0.43/1.06 }.
% 0.43/1.06 parent0: (94) {G1,W4,D3,L2,V1,M2} { big_p( skol3( X ) ), alpha3 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 1 ==> 1
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 paramod: (96) {G1,W8,D3,L4,V1,M4} { big_p( X ), ! alpha2( X ), alpha3, !
% 0.43/1.06 big_p( skol3( X ) ) }.
% 0.43/1.06 parent0[1]: (9) {G0,W7,D4,L2,V1,M2} I { ! alpha2( X ), f( skol3( X ) ) ==>
% 0.43/1.06 X }.
% 0.43/1.06 parent1[2; 1]: (0) {G0,W6,D3,L3,V1,M3} I { alpha3, ! big_p( X ), big_p( f(
% 0.43/1.06 X ) ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 X := skol3( X )
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (97) {G2,W6,D2,L4,V1,M4} { big_p( X ), ! alpha2( X ), alpha3,
% 0.43/1.06 alpha3 }.
% 0.43/1.06 parent0[3]: (96) {G1,W8,D3,L4,V1,M4} { big_p( X ), ! alpha2( X ), alpha3,
% 0.43/1.06 ! big_p( skol3( X ) ) }.
% 0.43/1.06 parent1[0]: (33) {G2,W4,D3,L2,V1,M2} R(8,13) { big_p( skol3( X ) ), alpha3
% 0.43/1.06 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 X := X
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 factor: (98) {G2,W5,D2,L3,V1,M3} { big_p( X ), ! alpha2( X ), alpha3 }.
% 0.43/1.06 parent0[2, 3]: (97) {G2,W6,D2,L4,V1,M4} { big_p( X ), ! alpha2( X ),
% 0.43/1.06 alpha3, alpha3 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (44) {G3,W5,D2,L3,V1,M3} P(9,0);r(33) { alpha3, big_p( X ), !
% 0.43/1.06 alpha2( X ) }.
% 0.43/1.06 parent0: (98) {G2,W5,D2,L3,V1,M3} { big_p( X ), ! alpha2( X ), alpha3 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 1
% 0.43/1.06 1 ==> 2
% 0.43/1.06 2 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (99) {G2,W4,D2,L3,V0,M3} { alpha3, big_p( skol2 ), alpha3 }.
% 0.43/1.06 parent0[2]: (44) {G3,W5,D2,L3,V1,M3} P(9,0);r(33) { alpha3, big_p( X ), !
% 0.43/1.06 alpha2( X ) }.
% 0.43/1.06 parent1[0]: (13) {G1,W3,D2,L2,V0,M2} R(6,1) { alpha2( skol2 ), alpha3 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := skol2
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (101) {G2,W3,D1,L3,V0,M3} { alpha3, alpha3, alpha3 }.
% 0.43/1.06 parent0[0]: (12) {G1,W3,D2,L2,V0,M2} R(7,1) { ! big_p( skol2 ), alpha3 }.
% 0.43/1.06 parent1[1]: (99) {G2,W4,D2,L3,V0,M3} { alpha3, big_p( skol2 ), alpha3 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 factor: (102) {G2,W2,D1,L2,V0,M2} { alpha3, alpha3 }.
% 0.43/1.06 parent0[0, 1]: (101) {G2,W3,D1,L3,V0,M3} { alpha3, alpha3, alpha3 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 factor: (103) {G2,W1,D1,L1,V0,M1} { alpha3 }.
% 0.43/1.06 parent0[0, 1]: (102) {G2,W2,D1,L2,V0,M2} { alpha3, alpha3 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (51) {G4,W1,D1,L1,V0,M1} R(44,13);f;r(12) { alpha3 }.
% 0.43/1.06 parent0: (103) {G2,W1,D1,L1,V0,M1} { alpha3 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (104) {G1,W2,D2,L1,V0,M1} { big_p( skol1 ) }.
% 0.43/1.06 parent0[0]: (3) {G0,W3,D2,L2,V0,M2} I { ! alpha3, big_p( skol1 ) }.
% 0.43/1.06 parent1[0]: (51) {G4,W1,D1,L1,V0,M1} R(44,13);f;r(12) { alpha3 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (60) {G5,W2,D2,L1,V0,M1} R(51,3) { big_p( skol1 ) }.
% 0.43/1.06 parent0: (104) {G1,W2,D2,L1,V0,M1} { big_p( skol1 ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 eqswap: (105) {G0,W8,D3,L3,V2,M3} { ! f( Y ) = X, ! big_p( Y ), alpha2( X
% 0.43/1.06 ) }.
% 0.43/1.06 parent0[1]: (10) {G0,W8,D3,L3,V2,M3} I { ! big_p( Y ), ! X = f( Y ), alpha2
% 0.43/1.06 ( X ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 Y := Y
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (106) {G1,W8,D3,L3,V1,M3} { ! alpha3, ! f( X ) = f( skol1 ), !
% 0.43/1.06 big_p( X ) }.
% 0.43/1.06 parent0[0]: (26) {G1,W4,D3,L2,V0,M2} R(5,4);r(2) { ! alpha2( f( skol1 ) ),
% 0.43/1.06 ! alpha3 }.
% 0.43/1.06 parent1[2]: (105) {G0,W8,D3,L3,V2,M3} { ! f( Y ) = X, ! big_p( Y ), alpha2
% 0.43/1.06 ( X ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 X := f( skol1 )
% 0.43/1.06 Y := X
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (107) {G2,W7,D3,L2,V1,M2} { ! f( X ) = f( skol1 ), ! big_p( X
% 0.43/1.06 ) }.
% 0.43/1.06 parent0[0]: (106) {G1,W8,D3,L3,V1,M3} { ! alpha3, ! f( X ) = f( skol1 ), !
% 0.43/1.06 big_p( X ) }.
% 0.43/1.06 parent1[0]: (51) {G4,W1,D1,L1,V0,M1} R(44,13);f;r(12) { alpha3 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 eqswap: (108) {G2,W7,D3,L2,V1,M2} { ! f( skol1 ) = f( X ), ! big_p( X )
% 0.43/1.06 }.
% 0.43/1.06 parent0[0]: (107) {G2,W7,D3,L2,V1,M2} { ! f( X ) = f( skol1 ), ! big_p( X
% 0.43/1.06 ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (66) {G5,W7,D3,L2,V1,M2} R(10,26);r(51) { ! big_p( X ), ! f(
% 0.43/1.06 skol1 ) = f( X ) }.
% 0.43/1.06 parent0: (108) {G2,W7,D3,L2,V1,M2} { ! f( skol1 ) = f( X ), ! big_p( X )
% 0.43/1.06 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 1
% 0.43/1.06 1 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 eqswap: (109) {G5,W7,D3,L2,V1,M2} { ! f( X ) = f( skol1 ), ! big_p( X )
% 0.43/1.06 }.
% 0.43/1.06 parent0[1]: (66) {G5,W7,D3,L2,V1,M2} R(10,26);r(51) { ! big_p( X ), ! f(
% 0.43/1.06 skol1 ) = f( X ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 eqrefl: (110) {G0,W2,D2,L1,V0,M1} { ! big_p( skol1 ) }.
% 0.43/1.06 parent0[0]: (109) {G5,W7,D3,L2,V1,M2} { ! f( X ) = f( skol1 ), ! big_p( X
% 0.43/1.06 ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := skol1
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (111) {G1,W0,D0,L0,V0,M0} { }.
% 0.43/1.06 parent0[0]: (110) {G0,W2,D2,L1,V0,M1} { ! big_p( skol1 ) }.
% 0.43/1.06 parent1[0]: (60) {G5,W2,D2,L1,V0,M1} R(51,3) { big_p( skol1 ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (72) {G6,W0,D0,L0,V0,M0} Q(66);r(60) { }.
% 0.43/1.06 parent0: (111) {G1,W0,D0,L0,V0,M0} { }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 Proof check complete!
% 0.43/1.06
% 0.43/1.06 Memory use:
% 0.43/1.06
% 0.43/1.06 space for terms: 598
% 0.43/1.06 space for clauses: 3229
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 clauses generated: 151
% 0.43/1.06 clauses kept: 73
% 0.43/1.06 clauses selected: 26
% 0.43/1.06 clauses deleted: 0
% 0.43/1.06 clauses inuse deleted: 0
% 0.43/1.06
% 0.43/1.06 subsentry: 119
% 0.43/1.06 literals s-matched: 87
% 0.43/1.06 literals matched: 87
% 0.43/1.06 full subsumption: 0
% 0.43/1.06
% 0.43/1.06 checksum: 340853380
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 Bliksem ended
%------------------------------------------------------------------------------