TSTP Solution File: SYN319+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN319+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n003.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 02:49:32 EDT 2022
% Result : Theorem 0.43s 1.08s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN319+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.12 % Command : bliksem %s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Mon Jul 11 21:27:00 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.43/1.08 *** allocated 10000 integers for termspace/termends
% 0.43/1.08 *** allocated 10000 integers for clauses
% 0.43/1.08 *** allocated 10000 integers for justifications
% 0.43/1.08 Bliksem 1.12
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 Automatic Strategy Selection
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 Clauses:
% 0.43/1.08
% 0.43/1.08 { alpha3( Y, skol1( X, Y ) ), big_g( X ) }.
% 0.43/1.08 { alpha3( Y, skol1( X, Y ) ), ! big_f( skol1( X, Y ) ) }.
% 0.43/1.08 { alpha1( X ) }.
% 0.43/1.08 { alpha2( Y ) }.
% 0.43/1.08 { ! alpha3( X, Y ), big_f( X ) }.
% 0.43/1.08 { ! alpha3( X, Y ), ! big_g( Y ) }.
% 0.43/1.08 { ! big_f( X ), big_g( Y ), alpha3( X, Y ) }.
% 0.43/1.08 { ! alpha2( X ), ! big_h( skol2( X ) ), alpha5( X, skol2( X ) ) }.
% 0.43/1.08 { big_h( Y ), alpha2( X ) }.
% 0.43/1.08 { ! alpha5( X, Y ), alpha2( X ) }.
% 0.43/1.08 { ! alpha5( X, Y ), big_h( X ) }.
% 0.43/1.08 { ! alpha5( X, Y ), alpha4( Y ) }.
% 0.43/1.08 { ! alpha5( X, Y ), ! big_h( Y ) }.
% 0.43/1.08 { ! big_h( X ), ! alpha4( Y ), big_h( Y ), alpha5( X, Y ) }.
% 0.43/1.08 { ! alpha4( X ), big_f( X ), big_g( X ) }.
% 0.43/1.08 { ! big_f( X ), alpha4( X ) }.
% 0.43/1.08 { ! big_g( X ), alpha4( X ) }.
% 0.43/1.08 { ! alpha1( X ), ! big_f( X ), big_h( X ) }.
% 0.43/1.08 { ! alpha1( X ), ! big_g( X ), big_h( X ) }.
% 0.43/1.08 { big_f( X ), big_g( X ), alpha1( X ) }.
% 0.43/1.08 { ! big_h( X ), alpha1( X ) }.
% 0.43/1.08
% 0.43/1.08 percentage equality = 0.000000, percentage horn = 0.764706
% 0.43/1.08 This a non-horn, non-equality problem
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 Options Used:
% 0.43/1.08
% 0.43/1.08 useres = 1
% 0.43/1.08 useparamod = 0
% 0.43/1.08 useeqrefl = 0
% 0.43/1.08 useeqfact = 0
% 0.43/1.08 usefactor = 1
% 0.43/1.08 usesimpsplitting = 0
% 0.43/1.08 usesimpdemod = 0
% 0.43/1.08 usesimpres = 3
% 0.43/1.08
% 0.43/1.08 resimpinuse = 1000
% 0.43/1.08 resimpclauses = 20000
% 0.43/1.08 substype = standard
% 0.43/1.08 backwardsubs = 1
% 0.43/1.08 selectoldest = 5
% 0.43/1.08
% 0.43/1.08 litorderings [0] = split
% 0.43/1.08 litorderings [1] = liftord
% 0.43/1.08
% 0.43/1.08 termordering = none
% 0.43/1.08
% 0.43/1.08 litapriori = 1
% 0.43/1.08 termapriori = 0
% 0.43/1.08 litaposteriori = 0
% 0.43/1.08 termaposteriori = 0
% 0.43/1.08 demodaposteriori = 0
% 0.43/1.08 ordereqreflfact = 0
% 0.43/1.08
% 0.43/1.08 litselect = none
% 0.43/1.08
% 0.43/1.08 maxweight = 15
% 0.43/1.08 maxdepth = 30000
% 0.43/1.08 maxlength = 115
% 0.43/1.08 maxnrvars = 195
% 0.43/1.08 excuselevel = 1
% 0.43/1.08 increasemaxweight = 1
% 0.43/1.08
% 0.43/1.08 maxselected = 10000000
% 0.43/1.08 maxnrclauses = 10000000
% 0.43/1.08
% 0.43/1.08 showgenerated = 0
% 0.43/1.08 showkept = 0
% 0.43/1.08 showselected = 0
% 0.43/1.08 showdeleted = 0
% 0.43/1.08 showresimp = 1
% 0.43/1.08 showstatus = 2000
% 0.43/1.08
% 0.43/1.08 prologoutput = 0
% 0.43/1.08 nrgoals = 5000000
% 0.43/1.08 totalproof = 1
% 0.43/1.08
% 0.43/1.08 Symbols occurring in the translation:
% 0.43/1.08
% 0.43/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.43/1.08 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.43/1.08 ! [4, 1] (w:0, o:10, a:1, s:1, b:0),
% 0.43/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.08 big_f [39, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.43/1.08 big_g [40, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.43/1.08 big_h [41, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.43/1.08 alpha1 [42, 1] (w:1, o:15, a:1, s:1, b:0),
% 0.43/1.08 alpha2 [43, 1] (w:1, o:16, a:1, s:1, b:0),
% 0.43/1.08 alpha3 [44, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.43/1.08 alpha4 [45, 1] (w:1, o:17, a:1, s:1, b:0),
% 0.43/1.08 alpha5 [46, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.43/1.08 skol1 [47, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.43/1.08 skol2 [48, 1] (w:1, o:21, a:1, s:1, b:0).
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 Starting Search:
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 Bliksems!, er is een bewijs:
% 0.43/1.08 % SZS status Theorem
% 0.43/1.08 % SZS output start Refutation
% 0.43/1.08
% 0.43/1.08 (0) {G0,W7,D3,L2,V2,M1} I { big_g( X ), alpha3( Y, skol1( X, Y ) ) }.
% 0.43/1.08 (2) {G0,W2,D2,L1,V1,M1} I { alpha1( X ) }.
% 0.43/1.08 (3) {G0,W2,D2,L1,V1,M1} I { alpha2( Y ) }.
% 0.43/1.08 (4) {G0,W5,D2,L2,V2,M1} I { big_f( X ), ! alpha3( X, Y ) }.
% 0.43/1.08 (7) {G1,W7,D3,L2,V1,M1} I;r(3) { ! big_h( skol2( X ) ), alpha5( X, skol2( X
% 0.43/1.08 ) ) }.
% 0.43/1.08 (10) {G0,W5,D2,L2,V2,M1} I { ! big_h( Y ), ! alpha5( X, Y ) }.
% 0.43/1.08 (15) {G1,W4,D2,L2,V1,M1} I;r(2) { ! big_f( X ), big_h( X ) }.
% 0.43/1.08 (16) {G1,W4,D2,L2,V1,M1} I;r(2) { ! big_g( X ), big_h( X ) }.
% 0.43/1.08 (20) {G1,W4,D2,L2,V2,M1} R(4,0) { big_f( X ), big_g( Y ) }.
% 0.43/1.08 (25) {G2,W3,D3,L1,V1,M1} S(7);r(10) { ! big_h( skol2( X ) ) }.
% 0.43/1.08 (26) {G3,W3,D3,L1,V1,M1} R(25,15) { ! big_f( skol2( X ) ) }.
% 0.43/1.08 (27) {G3,W3,D3,L1,V1,M1} R(25,16) { ! big_g( skol2( X ) ) }.
% 0.43/1.08 (29) {G4,W2,D2,L1,V1,M1} R(27,20) { big_f( X ) }.
% 0.43/1.08 (30) {G5,W0,D0,L0,V0,M0} R(29,26) { }.
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 % SZS output end Refutation
% 0.43/1.08 found a proof!
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 Unprocessed initial clauses:
% 0.43/1.08
% 0.43/1.08 (32) {G0,W7,D3,L2,V2,M2} { alpha3( Y, skol1( X, Y ) ), big_g( X ) }.
% 0.43/1.08 (33) {G0,W9,D3,L2,V2,M2} { alpha3( Y, skol1( X, Y ) ), ! big_f( skol1( X,
% 0.43/1.08 Y ) ) }.
% 0.43/1.08 (34) {G0,W2,D2,L1,V1,M1} { alpha1( X ) }.
% 0.43/1.08 (35) {G0,W2,D2,L1,V1,M1} { alpha2( Y ) }.
% 0.43/1.08 (36) {G0,W5,D2,L2,V2,M2} { ! alpha3( X, Y ), big_f( X ) }.
% 0.43/1.08 (37) {G0,W5,D2,L2,V2,M2} { ! alpha3( X, Y ), ! big_g( Y ) }.
% 0.43/1.08 (38) {G0,W7,D2,L3,V2,M3} { ! big_f( X ), big_g( Y ), alpha3( X, Y ) }.
% 0.43/1.08 (39) {G0,W9,D3,L3,V1,M3} { ! alpha2( X ), ! big_h( skol2( X ) ), alpha5( X
% 0.43/1.08 , skol2( X ) ) }.
% 0.43/1.08 (40) {G0,W4,D2,L2,V2,M2} { big_h( Y ), alpha2( X ) }.
% 0.43/1.08 (41) {G0,W5,D2,L2,V2,M2} { ! alpha5( X, Y ), alpha2( X ) }.
% 0.43/1.08 (42) {G0,W5,D2,L2,V2,M2} { ! alpha5( X, Y ), big_h( X ) }.
% 0.43/1.08 (43) {G0,W5,D2,L2,V2,M2} { ! alpha5( X, Y ), alpha4( Y ) }.
% 0.43/1.08 (44) {G0,W5,D2,L2,V2,M2} { ! alpha5( X, Y ), ! big_h( Y ) }.
% 0.43/1.08 (45) {G0,W9,D2,L4,V2,M4} { ! big_h( X ), ! alpha4( Y ), big_h( Y ), alpha5
% 0.43/1.08 ( X, Y ) }.
% 0.43/1.08 (46) {G0,W6,D2,L3,V1,M3} { ! alpha4( X ), big_f( X ), big_g( X ) }.
% 0.43/1.08 (47) {G0,W4,D2,L2,V1,M2} { ! big_f( X ), alpha4( X ) }.
% 0.43/1.08 (48) {G0,W4,D2,L2,V1,M2} { ! big_g( X ), alpha4( X ) }.
% 0.43/1.08 (49) {G0,W6,D2,L3,V1,M3} { ! alpha1( X ), ! big_f( X ), big_h( X ) }.
% 0.43/1.08 (50) {G0,W6,D2,L3,V1,M3} { ! alpha1( X ), ! big_g( X ), big_h( X ) }.
% 0.43/1.08 (51) {G0,W6,D2,L3,V1,M3} { big_f( X ), big_g( X ), alpha1( X ) }.
% 0.43/1.08 (52) {G0,W4,D2,L2,V1,M2} { ! big_h( X ), alpha1( X ) }.
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 Total Proof:
% 0.43/1.08
% 0.43/1.08 subsumption: (0) {G0,W7,D3,L2,V2,M1} I { big_g( X ), alpha3( Y, skol1( X, Y
% 0.43/1.08 ) ) }.
% 0.43/1.08 parent0: (32) {G0,W7,D3,L2,V2,M2} { alpha3( Y, skol1( X, Y ) ), big_g( X )
% 0.43/1.08 }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 Y := Y
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 1
% 0.43/1.08 1 ==> 0
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (2) {G0,W2,D2,L1,V1,M1} I { alpha1( X ) }.
% 0.43/1.08 parent0: (34) {G0,W2,D2,L1,V1,M1} { alpha1( X ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 0
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (3) {G0,W2,D2,L1,V1,M1} I { alpha2( Y ) }.
% 0.43/1.08 parent0: (35) {G0,W2,D2,L1,V1,M1} { alpha2( Y ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := Z
% 0.43/1.08 Y := Y
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 0
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (4) {G0,W5,D2,L2,V2,M1} I { big_f( X ), ! alpha3( X, Y ) }.
% 0.43/1.08 parent0: (36) {G0,W5,D2,L2,V2,M2} { ! alpha3( X, Y ), big_f( X ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 Y := Y
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 1
% 0.43/1.08 1 ==> 0
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 resolution: (53) {G1,W7,D3,L2,V1,M2} { ! big_h( skol2( X ) ), alpha5( X,
% 0.43/1.08 skol2( X ) ) }.
% 0.43/1.08 parent0[0]: (39) {G0,W9,D3,L3,V1,M3} { ! alpha2( X ), ! big_h( skol2( X )
% 0.43/1.08 ), alpha5( X, skol2( X ) ) }.
% 0.43/1.08 parent1[0]: (3) {G0,W2,D2,L1,V1,M1} I { alpha2( Y ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 end
% 0.43/1.08 substitution1:
% 0.43/1.08 X := Y
% 0.43/1.08 Y := X
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (7) {G1,W7,D3,L2,V1,M1} I;r(3) { ! big_h( skol2( X ) ), alpha5
% 0.43/1.08 ( X, skol2( X ) ) }.
% 0.43/1.08 parent0: (53) {G1,W7,D3,L2,V1,M2} { ! big_h( skol2( X ) ), alpha5( X,
% 0.43/1.08 skol2( X ) ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 0
% 0.43/1.08 1 ==> 1
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (10) {G0,W5,D2,L2,V2,M1} I { ! big_h( Y ), ! alpha5( X, Y )
% 0.43/1.08 }.
% 0.43/1.08 parent0: (44) {G0,W5,D2,L2,V2,M2} { ! alpha5( X, Y ), ! big_h( Y ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 Y := Y
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 1
% 0.43/1.08 1 ==> 0
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 resolution: (54) {G1,W4,D2,L2,V1,M2} { ! big_f( X ), big_h( X ) }.
% 0.43/1.08 parent0[0]: (49) {G0,W6,D2,L3,V1,M3} { ! alpha1( X ), ! big_f( X ), big_h
% 0.43/1.08 ( X ) }.
% 0.43/1.08 parent1[0]: (2) {G0,W2,D2,L1,V1,M1} I { alpha1( X ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 end
% 0.43/1.08 substitution1:
% 0.43/1.08 X := X
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (15) {G1,W4,D2,L2,V1,M1} I;r(2) { ! big_f( X ), big_h( X ) }.
% 0.43/1.08 parent0: (54) {G1,W4,D2,L2,V1,M2} { ! big_f( X ), big_h( X ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 0
% 0.43/1.08 1 ==> 1
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 resolution: (56) {G1,W4,D2,L2,V1,M2} { ! big_g( X ), big_h( X ) }.
% 0.43/1.08 parent0[0]: (50) {G0,W6,D2,L3,V1,M3} { ! alpha1( X ), ! big_g( X ), big_h
% 0.43/1.08 ( X ) }.
% 0.43/1.08 parent1[0]: (2) {G0,W2,D2,L1,V1,M1} I { alpha1( X ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 end
% 0.43/1.08 substitution1:
% 0.43/1.08 X := X
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (16) {G1,W4,D2,L2,V1,M1} I;r(2) { ! big_g( X ), big_h( X ) }.
% 0.43/1.08 parent0: (56) {G1,W4,D2,L2,V1,M2} { ! big_g( X ), big_h( X ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 0
% 0.43/1.08 1 ==> 1
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 resolution: (57) {G1,W4,D2,L2,V2,M2} { big_f( X ), big_g( Y ) }.
% 0.43/1.08 parent0[1]: (4) {G0,W5,D2,L2,V2,M1} I { big_f( X ), ! alpha3( X, Y ) }.
% 0.43/1.08 parent1[1]: (0) {G0,W7,D3,L2,V2,M1} I { big_g( X ), alpha3( Y, skol1( X, Y
% 0.43/1.08 ) ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 Y := skol1( Y, X )
% 0.43/1.08 end
% 0.43/1.08 substitution1:
% 0.43/1.08 X := Y
% 0.43/1.08 Y := X
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (20) {G1,W4,D2,L2,V2,M1} R(4,0) { big_f( X ), big_g( Y ) }.
% 0.43/1.08 parent0: (57) {G1,W4,D2,L2,V2,M2} { big_f( X ), big_g( Y ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 Y := Y
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 0
% 0.43/1.08 1 ==> 1
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 resolution: (58) {G1,W6,D3,L2,V1,M2} { ! big_h( skol2( X ) ), ! big_h(
% 0.43/1.08 skol2( X ) ) }.
% 0.43/1.08 parent0[1]: (10) {G0,W5,D2,L2,V2,M1} I { ! big_h( Y ), ! alpha5( X, Y ) }.
% 0.43/1.08 parent1[1]: (7) {G1,W7,D3,L2,V1,M1} I;r(3) { ! big_h( skol2( X ) ), alpha5
% 0.43/1.08 ( X, skol2( X ) ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 Y := skol2( X )
% 0.43/1.08 end
% 0.43/1.08 substitution1:
% 0.43/1.08 X := X
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 factor: (59) {G1,W3,D3,L1,V1,M1} { ! big_h( skol2( X ) ) }.
% 0.43/1.08 parent0[0, 1]: (58) {G1,W6,D3,L2,V1,M2} { ! big_h( skol2( X ) ), ! big_h(
% 0.43/1.08 skol2( X ) ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (25) {G2,W3,D3,L1,V1,M1} S(7);r(10) { ! big_h( skol2( X ) )
% 0.43/1.08 }.
% 0.43/1.08 parent0: (59) {G1,W3,D3,L1,V1,M1} { ! big_h( skol2( X ) ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 0
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 resolution: (60) {G2,W3,D3,L1,V1,M1} { ! big_f( skol2( X ) ) }.
% 0.43/1.08 parent0[0]: (25) {G2,W3,D3,L1,V1,M1} S(7);r(10) { ! big_h( skol2( X ) ) }.
% 0.43/1.08 parent1[1]: (15) {G1,W4,D2,L2,V1,M1} I;r(2) { ! big_f( X ), big_h( X ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 end
% 0.43/1.08 substitution1:
% 0.43/1.08 X := skol2( X )
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (26) {G3,W3,D3,L1,V1,M1} R(25,15) { ! big_f( skol2( X ) ) }.
% 0.43/1.08 parent0: (60) {G2,W3,D3,L1,V1,M1} { ! big_f( skol2( X ) ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 0
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 resolution: (61) {G2,W3,D3,L1,V1,M1} { ! big_g( skol2( X ) ) }.
% 0.43/1.08 parent0[0]: (25) {G2,W3,D3,L1,V1,M1} S(7);r(10) { ! big_h( skol2( X ) ) }.
% 0.43/1.08 parent1[1]: (16) {G1,W4,D2,L2,V1,M1} I;r(2) { ! big_g( X ), big_h( X ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 end
% 0.43/1.08 substitution1:
% 0.43/1.08 X := skol2( X )
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (27) {G3,W3,D3,L1,V1,M1} R(25,16) { ! big_g( skol2( X ) ) }.
% 0.43/1.08 parent0: (61) {G2,W3,D3,L1,V1,M1} { ! big_g( skol2( X ) ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 0
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 resolution: (62) {G2,W2,D2,L1,V1,M1} { big_f( Y ) }.
% 0.43/1.08 parent0[0]: (27) {G3,W3,D3,L1,V1,M1} R(25,16) { ! big_g( skol2( X ) ) }.
% 0.43/1.08 parent1[1]: (20) {G1,W4,D2,L2,V2,M1} R(4,0) { big_f( X ), big_g( Y ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 end
% 0.43/1.08 substitution1:
% 0.43/1.08 X := Y
% 0.43/1.08 Y := skol2( X )
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (29) {G4,W2,D2,L1,V1,M1} R(27,20) { big_f( X ) }.
% 0.43/1.08 parent0: (62) {G2,W2,D2,L1,V1,M1} { big_f( Y ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := Y
% 0.43/1.08 Y := X
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 0
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 resolution: (63) {G4,W0,D0,L0,V0,M0} { }.
% 0.43/1.08 parent0[0]: (26) {G3,W3,D3,L1,V1,M1} R(25,15) { ! big_f( skol2( X ) ) }.
% 0.43/1.08 parent1[0]: (29) {G4,W2,D2,L1,V1,M1} R(27,20) { big_f( X ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 end
% 0.43/1.08 substitution1:
% 0.43/1.08 X := skol2( X )
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (30) {G5,W0,D0,L0,V0,M0} R(29,26) { }.
% 0.43/1.08 parent0: (63) {G4,W0,D0,L0,V0,M0} { }.
% 0.43/1.08 substitution0:
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 Proof check complete!
% 0.43/1.08
% 0.43/1.08 Memory use:
% 0.43/1.08
% 0.43/1.08 space for terms: 426
% 0.43/1.08 space for clauses: 1545
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 clauses generated: 41
% 0.43/1.08 clauses kept: 31
% 0.43/1.08 clauses selected: 22
% 0.43/1.08 clauses deleted: 3
% 0.43/1.08 clauses inuse deleted: 0
% 0.43/1.08
% 0.43/1.08 subsentry: 15
% 0.43/1.08 literals s-matched: 13
% 0.43/1.08 literals matched: 13
% 0.43/1.08 full subsumption: 0
% 0.43/1.08
% 0.43/1.08 checksum: 268711027
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 Bliksem ended
%------------------------------------------------------------------------------