TSTP Solution File: GRP194+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP194+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n010.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 07:36:04 EDT 2022
% Result : Theorem 0.70s 1.17s
% Output : Refutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GRP194+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n010.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 Jun 13 12:01:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.70/1.17 *** allocated 10000 integers for termspace/termends
% 0.70/1.17 *** allocated 10000 integers for clauses
% 0.70/1.17 *** allocated 10000 integers for justifications
% 0.70/1.17 Bliksem 1.12
% 0.70/1.17
% 0.70/1.17
% 0.70/1.17 Automatic Strategy Selection
% 0.70/1.17
% 0.70/1.17
% 0.70/1.17 Clauses:
% 0.70/1.17
% 0.70/1.17 { ! group_member( Y, X ), ! group_member( Z, X ), group_member( multiply( X
% 0.70/1.17 , Y, Z ), X ) }.
% 0.70/1.17 { ! group_member( Y, X ), ! group_member( Z, X ), ! group_member( T, X ),
% 0.70/1.17 multiply( X, multiply( X, Y, Z ), T ) = multiply( X, Y, multiply( X, Z, T
% 0.70/1.17 ) ) }.
% 0.70/1.17 { ! group_member( X, f ), group_member( phi( X ), h ) }.
% 0.70/1.17 { ! group_member( X, f ), ! group_member( Y, f ), multiply( h, phi( X ),
% 0.70/1.17 phi( Y ) ) = phi( multiply( f, X, Y ) ) }.
% 0.70/1.17 { ! group_member( X, h ), group_member( skol1( Y ), f ) }.
% 0.70/1.17 { ! group_member( X, h ), phi( skol1( X ) ) = X }.
% 0.70/1.17 { ! left_zero( X, Y ), group_member( Y, X ) }.
% 0.70/1.17 { ! left_zero( X, Y ), alpha1( X, Y ) }.
% 0.70/1.17 { ! group_member( Y, X ), ! alpha1( X, Y ), left_zero( X, Y ) }.
% 0.70/1.17 { ! alpha1( X, Y ), ! group_member( Z, X ), multiply( X, Y, Z ) = Y }.
% 0.70/1.17 { group_member( skol2( X, Z ), X ), alpha1( X, Y ) }.
% 0.70/1.17 { ! multiply( X, Y, skol2( X, Y ) ) = Y, alpha1( X, Y ) }.
% 0.70/1.17 { left_zero( f, f_left_zero ) }.
% 0.70/1.17 { ! left_zero( h, phi( f_left_zero ) ) }.
% 0.70/1.17
% 0.70/1.17 percentage equality = 0.156250, percentage horn = 0.928571
% 0.70/1.17 This is a problem with some equality
% 0.70/1.17
% 0.70/1.17
% 0.70/1.17
% 0.70/1.17 Options Used:
% 0.70/1.17
% 0.70/1.17 useres = 1
% 0.70/1.17 useparamod = 1
% 0.70/1.17 useeqrefl = 1
% 0.70/1.17 useeqfact = 1
% 0.70/1.17 usefactor = 1
% 0.70/1.17 usesimpsplitting = 0
% 0.70/1.17 usesimpdemod = 5
% 0.70/1.17 usesimpres = 3
% 0.70/1.17
% 0.70/1.17 resimpinuse = 1000
% 0.70/1.17 resimpclauses = 20000
% 0.70/1.17 substype = eqrewr
% 0.70/1.17 backwardsubs = 1
% 0.70/1.17 selectoldest = 5
% 0.70/1.17
% 0.70/1.17 litorderings [0] = split
% 0.70/1.17 litorderings [1] = extend the termordering, first sorting on arguments
% 0.70/1.17
% 0.70/1.17 termordering = kbo
% 0.70/1.17
% 0.70/1.17 litapriori = 0
% 0.70/1.17 termapriori = 1
% 0.70/1.17 litaposteriori = 0
% 0.70/1.17 termaposteriori = 0
% 0.70/1.17 demodaposteriori = 0
% 0.70/1.17 ordereqreflfact = 0
% 0.70/1.17
% 0.70/1.17 litselect = negord
% 0.70/1.17
% 0.70/1.17 maxweight = 15
% 0.70/1.17 maxdepth = 30000
% 0.70/1.17 maxlength = 115
% 0.70/1.17 maxnrvars = 195
% 0.70/1.17 excuselevel = 1
% 0.70/1.17 increasemaxweight = 1
% 0.70/1.17
% 0.70/1.17 maxselected = 10000000
% 0.70/1.17 maxnrclauses = 10000000
% 0.70/1.17
% 0.70/1.17 showgenerated = 0
% 0.70/1.17 showkept = 0
% 0.70/1.17 showselected = 0
% 0.70/1.17 showdeleted = 0
% 0.70/1.17 showresimp = 1
% 0.70/1.17 showstatus = 2000
% 0.70/1.17
% 0.70/1.17 prologoutput = 0
% 0.70/1.17 nrgoals = 5000000
% 0.70/1.17 totalproof = 1
% 0.70/1.17
% 0.70/1.17 Symbols occurring in the translation:
% 0.70/1.17
% 0.70/1.17 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.70/1.17 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.70/1.17 ! [4, 1] (w:0, o:13, a:1, s:1, b:0),
% 0.70/1.17 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.17 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.17 group_member [38, 2] (w:1, o:44, a:1, s:1, b:0),
% 0.70/1.17 multiply [39, 3] (w:1, o:48, a:1, s:1, b:0),
% 0.70/1.17 f [41, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.70/1.17 phi [42, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.70/1.17 h [43, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.70/1.17 left_zero [44, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.70/1.17 f_left_zero [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.70/1.17 alpha1 [46, 2] (w:1, o:46, a:1, s:1, b:1),
% 0.70/1.17 skol1 [47, 1] (w:1, o:19, a:1, s:1, b:1),
% 0.70/1.17 skol2 [48, 2] (w:1, o:47, a:1, s:1, b:1).
% 0.70/1.17
% 0.70/1.17
% 0.70/1.17 Starting Search:
% 0.70/1.17
% 0.70/1.17 *** allocated 15000 integers for clauses
% 0.70/1.17 *** allocated 22500 integers for clauses
% 0.70/1.17 *** allocated 33750 integers for clauses
% 0.70/1.17 *** allocated 50625 integers for clauses
% 0.70/1.17
% 0.70/1.17 Bliksems!, er is een bewijs:
% 0.70/1.17 % SZS status Theorem
% 0.70/1.17 % SZS output start Refutation
% 0.70/1.17
% 0.70/1.17 (2) {G0,W7,D3,L2,V1,M2} I { ! group_member( X, f ), group_member( phi( X )
% 0.70/1.17 , h ) }.
% 0.70/1.17 (3) {G0,W18,D4,L3,V2,M3} I { ! group_member( X, f ), ! group_member( Y, f )
% 0.70/1.17 , multiply( h, phi( X ), phi( Y ) ) ==> phi( multiply( f, X, Y ) ) }.
% 0.70/1.17 (4) {G0,W7,D3,L2,V2,M2} I { ! group_member( X, h ), group_member( skol1( Y
% 0.70/1.17 ), f ) }.
% 0.70/1.17 (5) {G0,W8,D4,L2,V1,M2} I { ! group_member( X, h ), phi( skol1( X ) ) ==> X
% 0.70/1.17 }.
% 0.70/1.17 (6) {G0,W6,D2,L2,V2,M2} I { ! left_zero( X, Y ), group_member( Y, X ) }.
% 0.70/1.17 (7) {G0,W6,D2,L2,V2,M2} I { ! left_zero( X, Y ), alpha1( X, Y ) }.
% 0.70/1.17 (8) {G0,W9,D2,L3,V2,M3} I { ! group_member( Y, X ), ! alpha1( X, Y ),
% 0.70/1.17 left_zero( X, Y ) }.
% 0.70/1.17 (9) {G0,W12,D3,L3,V3,M3} I { ! alpha1( X, Y ), ! group_member( Z, X ),
% 0.70/1.17 multiply( X, Y, Z ) ==> Y }.
% 0.70/1.17 (10) {G0,W8,D3,L2,V3,M2} I { group_member( skol2( X, Z ), X ), alpha1( X, Y
% 0.70/1.17 ) }.
% 0.70/1.17 (11) {G0,W11,D4,L2,V2,M2} I { ! multiply( X, Y, skol2( X, Y ) ) ==> Y,
% 0.70/1.17 alpha1( X, Y ) }.
% 0.70/1.17 (12) {G0,W3,D2,L1,V0,M1} I { left_zero( f, f_left_zero ) }.
% 0.70/1.17 (13) {G0,W4,D3,L1,V0,M1} I { ! left_zero( h, phi( f_left_zero ) ) }.
% 0.70/1.17 (19) {G1,W3,D2,L1,V0,M1} R(7,12) { alpha1( f, f_left_zero ) }.
% 0.70/1.17 (20) {G1,W3,D2,L1,V0,M1} R(6,12) { group_member( f_left_zero, f ) }.
% 0.70/1.17 (38) {G2,W4,D3,L1,V0,M1} R(2,20) { group_member( phi( f_left_zero ), h )
% 0.70/1.17 }.
% 0.70/1.17 (55) {G3,W4,D3,L1,V1,M1} R(38,4) { group_member( skol1( X ), f ) }.
% 0.70/1.17 (65) {G2,W15,D4,L2,V1,M2} R(3,20) { ! group_member( X, f ), multiply( h,
% 0.70/1.17 phi( f_left_zero ), phi( X ) ) ==> phi( multiply( f, f_left_zero, X ) )
% 0.70/1.17 }.
% 0.70/1.17 (95) {G3,W4,D3,L1,V0,M1} R(8,38);r(13) { ! alpha1( h, phi( f_left_zero ) )
% 0.70/1.17 }.
% 0.70/1.17 (99) {G4,W5,D3,L1,V1,M1} R(95,10) { group_member( skol2( h, X ), h ) }.
% 0.70/1.17 (110) {G2,W9,D3,L2,V1,M2} R(9,19) { ! group_member( X, f ), multiply( f,
% 0.70/1.17 f_left_zero, X ) ==> f_left_zero }.
% 0.70/1.17 (118) {G5,W9,D5,L1,V1,M1} R(99,5) { phi( skol1( skol2( h, X ) ) ) ==> skol2
% 0.70/1.17 ( h, X ) }.
% 0.70/1.17 (139) {G4,W11,D5,L1,V0,M1} R(11,95) { ! multiply( h, phi( f_left_zero ),
% 0.70/1.17 skol2( h, phi( f_left_zero ) ) ) ==> phi( f_left_zero ) }.
% 0.70/1.17 (645) {G3,W12,D4,L2,V1,M2} S(65);d(110) { ! group_member( X, f ), multiply
% 0.70/1.17 ( h, phi( f_left_zero ), phi( X ) ) ==> phi( f_left_zero ) }.
% 0.70/1.17 (655) {G6,W10,D4,L1,V1,M1} P(118,645);r(55) { multiply( h, phi( f_left_zero
% 0.70/1.17 ), skol2( h, X ) ) ==> phi( f_left_zero ) }.
% 0.70/1.17 (658) {G7,W0,D0,L0,V0,M0} R(655,139) { }.
% 0.70/1.17
% 0.70/1.17
% 0.70/1.17 % SZS output end Refutation
% 0.70/1.17 found a proof!
% 0.70/1.17
% 0.70/1.17 *** allocated 15000 integers for termspace/termends
% 0.70/1.17
% 0.70/1.17 Unprocessed initial clauses:
% 0.70/1.17
% 0.70/1.17 (660) {G0,W12,D3,L3,V3,M3} { ! group_member( Y, X ), ! group_member( Z, X
% 0.70/1.17 ), group_member( multiply( X, Y, Z ), X ) }.
% 0.70/1.17 (661) {G0,W24,D4,L4,V4,M4} { ! group_member( Y, X ), ! group_member( Z, X
% 0.70/1.17 ), ! group_member( T, X ), multiply( X, multiply( X, Y, Z ), T ) =
% 0.70/1.17 multiply( X, Y, multiply( X, Z, T ) ) }.
% 0.70/1.17 (662) {G0,W7,D3,L2,V1,M2} { ! group_member( X, f ), group_member( phi( X )
% 0.70/1.17 , h ) }.
% 0.70/1.17 (663) {G0,W18,D4,L3,V2,M3} { ! group_member( X, f ), ! group_member( Y, f
% 0.70/1.17 ), multiply( h, phi( X ), phi( Y ) ) = phi( multiply( f, X, Y ) ) }.
% 0.70/1.17 (664) {G0,W7,D3,L2,V2,M2} { ! group_member( X, h ), group_member( skol1( Y
% 0.70/1.17 ), f ) }.
% 0.70/1.17 (665) {G0,W8,D4,L2,V1,M2} { ! group_member( X, h ), phi( skol1( X ) ) = X
% 0.70/1.17 }.
% 0.70/1.17 (666) {G0,W6,D2,L2,V2,M2} { ! left_zero( X, Y ), group_member( Y, X ) }.
% 0.70/1.17 (667) {G0,W6,D2,L2,V2,M2} { ! left_zero( X, Y ), alpha1( X, Y ) }.
% 0.70/1.17 (668) {G0,W9,D2,L3,V2,M3} { ! group_member( Y, X ), ! alpha1( X, Y ),
% 0.70/1.17 left_zero( X, Y ) }.
% 0.70/1.17 (669) {G0,W12,D3,L3,V3,M3} { ! alpha1( X, Y ), ! group_member( Z, X ),
% 0.70/1.17 multiply( X, Y, Z ) = Y }.
% 0.70/1.17 (670) {G0,W8,D3,L2,V3,M2} { group_member( skol2( X, Z ), X ), alpha1( X, Y
% 0.70/1.17 ) }.
% 0.70/1.17 (671) {G0,W11,D4,L2,V2,M2} { ! multiply( X, Y, skol2( X, Y ) ) = Y, alpha1
% 0.70/1.17 ( X, Y ) }.
% 0.70/1.17 (672) {G0,W3,D2,L1,V0,M1} { left_zero( f, f_left_zero ) }.
% 0.70/1.17 (673) {G0,W4,D3,L1,V0,M1} { ! left_zero( h, phi( f_left_zero ) ) }.
% 0.70/1.17
% 0.70/1.17
% 0.70/1.17 Total Proof:
% 0.70/1.17
% 0.70/1.17 subsumption: (2) {G0,W7,D3,L2,V1,M2} I { ! group_member( X, f ),
% 0.70/1.17 group_member( phi( X ), h ) }.
% 0.70/1.17 parent0: (662) {G0,W7,D3,L2,V1,M2} { ! group_member( X, f ), group_member
% 0.70/1.17 ( phi( X ), h ) }.
% 0.70/1.17 substitution0:
% 0.70/1.17 X := X
% 0.70/1.17 end
% 0.70/1.17 permutation0:
% 0.70/1.17 0 ==> 0
% 0.70/1.17 1 ==> 1
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 subsumption: (3) {G0,W18,D4,L3,V2,M3} I { ! group_member( X, f ), !
% 0.70/1.17 group_member( Y, f ), multiply( h, phi( X ), phi( Y ) ) ==> phi( multiply
% 0.70/1.17 ( f, X, Y ) ) }.
% 0.70/1.17 parent0: (663) {G0,W18,D4,L3,V2,M3} { ! group_member( X, f ), !
% 0.70/1.17 group_member( Y, f ), multiply( h, phi( X ), phi( Y ) ) = phi( multiply(
% 0.70/1.17 f, X, Y ) ) }.
% 0.70/1.17 substitution0:
% 0.70/1.17 X := X
% 0.70/1.17 Y := Y
% 0.70/1.17 end
% 0.70/1.17 permutation0:
% 0.70/1.17 0 ==> 0
% 0.70/1.17 1 ==> 1
% 0.70/1.17 2 ==> 2
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 subsumption: (4) {G0,W7,D3,L2,V2,M2} I { ! group_member( X, h ),
% 0.70/1.17 group_member( skol1( Y ), f ) }.
% 0.70/1.17 parent0: (664) {G0,W7,D3,L2,V2,M2} { ! group_member( X, h ), group_member
% 0.70/1.17 ( skol1( Y ), f ) }.
% 0.70/1.17 substitution0:
% 0.70/1.17 X := X
% 0.70/1.17 Y := Y
% 0.70/1.17 end
% 0.70/1.17 permutation0:
% 0.70/1.17 0 ==> 0
% 0.70/1.17 1 ==> 1
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 subsumption: (5) {G0,W8,D4,L2,V1,M2} I { ! group_member( X, h ), phi( skol1
% 0.70/1.17 ( X ) ) ==> X }.
% 0.70/1.17 parent0: (665) {G0,W8,D4,L2,V1,M2} { ! group_member( X, h ), phi( skol1( X
% 0.70/1.17 ) ) = X }.
% 0.70/1.17 substitution0:
% 0.70/1.17 X := X
% 0.70/1.17 end
% 0.70/1.17 permutation0:
% 0.70/1.17 0 ==> 0
% 0.70/1.17 1 ==> 1
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 subsumption: (6) {G0,W6,D2,L2,V2,M2} I { ! left_zero( X, Y ), group_member
% 0.70/1.17 ( Y, X ) }.
% 0.70/1.17 parent0: (666) {G0,W6,D2,L2,V2,M2} { ! left_zero( X, Y ), group_member( Y
% 0.70/1.17 , X ) }.
% 0.70/1.17 substitution0:
% 0.70/1.17 X := X
% 0.70/1.17 Y := Y
% 0.70/1.17 end
% 0.70/1.17 permutation0:
% 0.70/1.17 0 ==> 0
% 0.70/1.17 1 ==> 1
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 subsumption: (7) {G0,W6,D2,L2,V2,M2} I { ! left_zero( X, Y ), alpha1( X, Y
% 0.70/1.17 ) }.
% 0.70/1.17 parent0: (667) {G0,W6,D2,L2,V2,M2} { ! left_zero( X, Y ), alpha1( X, Y )
% 0.70/1.17 }.
% 0.70/1.17 substitution0:
% 0.70/1.17 X := X
% 0.70/1.17 Y := Y
% 0.70/1.17 end
% 0.70/1.17 permutation0:
% 0.70/1.17 0 ==> 0
% 0.70/1.17 1 ==> 1
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 subsumption: (8) {G0,W9,D2,L3,V2,M3} I { ! group_member( Y, X ), ! alpha1(
% 0.70/1.17 X, Y ), left_zero( X, Y ) }.
% 0.70/1.17 parent0: (668) {G0,W9,D2,L3,V2,M3} { ! group_member( Y, X ), ! alpha1( X,
% 0.70/1.17 Y ), left_zero( X, Y ) }.
% 0.70/1.17 substitution0:
% 0.70/1.17 X := X
% 0.70/1.17 Y := Y
% 0.70/1.17 end
% 0.70/1.17 permutation0:
% 0.70/1.17 0 ==> 0
% 0.70/1.17 1 ==> 1
% 0.70/1.17 2 ==> 2
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 subsumption: (9) {G0,W12,D3,L3,V3,M3} I { ! alpha1( X, Y ), ! group_member
% 0.70/1.17 ( Z, X ), multiply( X, Y, Z ) ==> Y }.
% 0.70/1.17 parent0: (669) {G0,W12,D3,L3,V3,M3} { ! alpha1( X, Y ), ! group_member( Z
% 0.70/1.17 , X ), multiply( X, Y, Z ) = Y }.
% 0.70/1.17 substitution0:
% 0.70/1.17 X := X
% 0.70/1.17 Y := Y
% 0.70/1.17 Z := Z
% 0.70/1.17 end
% 0.70/1.17 permutation0:
% 0.70/1.17 0 ==> 0
% 0.70/1.17 1 ==> 1
% 0.70/1.17 2 ==> 2
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 subsumption: (10) {G0,W8,D3,L2,V3,M2} I { group_member( skol2( X, Z ), X )
% 0.70/1.17 , alpha1( X, Y ) }.
% 0.70/1.17 parent0: (670) {G0,W8,D3,L2,V3,M2} { group_member( skol2( X, Z ), X ),
% 0.70/1.17 alpha1( X, Y ) }.
% 0.70/1.17 substitution0:
% 0.70/1.17 X := X
% 0.70/1.17 Y := Y
% 0.70/1.17 Z := Z
% 0.70/1.17 end
% 0.70/1.17 permutation0:
% 0.70/1.17 0 ==> 0
% 0.70/1.17 1 ==> 1
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 subsumption: (11) {G0,W11,D4,L2,V2,M2} I { ! multiply( X, Y, skol2( X, Y )
% 0.70/1.17 ) ==> Y, alpha1( X, Y ) }.
% 0.70/1.17 parent0: (671) {G0,W11,D4,L2,V2,M2} { ! multiply( X, Y, skol2( X, Y ) ) =
% 0.70/1.17 Y, alpha1( X, Y ) }.
% 0.70/1.17 substitution0:
% 0.70/1.17 X := X
% 0.70/1.17 Y := Y
% 0.70/1.17 end
% 0.70/1.17 permutation0:
% 0.70/1.17 0 ==> 0
% 0.70/1.17 1 ==> 1
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 subsumption: (12) {G0,W3,D2,L1,V0,M1} I { left_zero( f, f_left_zero ) }.
% 0.70/1.17 parent0: (672) {G0,W3,D2,L1,V0,M1} { left_zero( f, f_left_zero ) }.
% 0.70/1.17 substitution0:
% 0.70/1.17 end
% 0.70/1.17 permutation0:
% 0.70/1.17 0 ==> 0
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 subsumption: (13) {G0,W4,D3,L1,V0,M1} I { ! left_zero( h, phi( f_left_zero
% 0.70/1.17 ) ) }.
% 0.70/1.17 parent0: (673) {G0,W4,D3,L1,V0,M1} { ! left_zero( h, phi( f_left_zero ) )
% 0.70/1.17 }.
% 0.70/1.17 substitution0:
% 0.70/1.17 end
% 0.70/1.17 permutation0:
% 0.70/1.17 0 ==> 0
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 resolution: (844) {G1,W3,D2,L1,V0,M1} { alpha1( f, f_left_zero ) }.
% 0.70/1.17 parent0[0]: (7) {G0,W6,D2,L2,V2,M2} I { ! left_zero( X, Y ), alpha1( X, Y )
% 0.70/1.17 }.
% 0.70/1.17 parent1[0]: (12) {G0,W3,D2,L1,V0,M1} I { left_zero( f, f_left_zero ) }.
% 0.70/1.17 substitution0:
% 0.70/1.17 X := f
% 0.70/1.17 Y := f_left_zero
% 0.70/1.17 end
% 0.70/1.17 substitution1:
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 subsumption: (19) {G1,W3,D2,L1,V0,M1} R(7,12) { alpha1( f, f_left_zero )
% 0.70/1.17 }.
% 0.70/1.17 parent0: (844) {G1,W3,D2,L1,V0,M1} { alpha1( f, f_left_zero ) }.
% 0.70/1.17 substitution0:
% 0.70/1.17 end
% 0.70/1.17 permutation0:
% 0.70/1.17 0 ==> 0
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 resolution: (845) {G1,W3,D2,L1,V0,M1} { group_member( f_left_zero, f ) }.
% 0.70/1.17 parent0[0]: (6) {G0,W6,D2,L2,V2,M2} I { ! left_zero( X, Y ), group_member(
% 0.70/1.17 Y, X ) }.
% 0.70/1.17 parent1[0]: (12) {G0,W3,D2,L1,V0,M1} I { left_zero( f, f_left_zero ) }.
% 0.70/1.17 substitution0:
% 0.70/1.17 X := f
% 0.70/1.17 Y := f_left_zero
% 0.70/1.17 end
% 0.70/1.17 substitution1:
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 subsumption: (20) {G1,W3,D2,L1,V0,M1} R(6,12) { group_member( f_left_zero,
% 0.70/1.17 f ) }.
% 0.70/1.17 parent0: (845) {G1,W3,D2,L1,V0,M1} { group_member( f_left_zero, f ) }.
% 0.70/1.17 substitution0:
% 0.70/1.17 end
% 0.70/1.17 permutation0:
% 0.70/1.17 0 ==> 0
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 resolution: (846) {G1,W4,D3,L1,V0,M1} { group_member( phi( f_left_zero ),
% 0.70/1.17 h ) }.
% 0.70/1.17 parent0[0]: (2) {G0,W7,D3,L2,V1,M2} I { ! group_member( X, f ),
% 0.70/1.17 group_member( phi( X ), h ) }.
% 0.70/1.17 parent1[0]: (20) {G1,W3,D2,L1,V0,M1} R(6,12) { group_member( f_left_zero, f
% 0.70/1.17 ) }.
% 0.70/1.17 substitution0:
% 0.70/1.17 X := f_left_zero
% 0.70/1.17 end
% 0.70/1.17 substitution1:
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 subsumption: (38) {G2,W4,D3,L1,V0,M1} R(2,20) { group_member( phi(
% 0.70/1.17 f_left_zero ), h ) }.
% 0.70/1.17 parent0: (846) {G1,W4,D3,L1,V0,M1} { group_member( phi( f_left_zero ), h )
% 0.70/1.17 }.
% 0.70/1.17 substitution0:
% 0.70/1.17 end
% 0.70/1.17 permutation0:
% 0.70/1.17 0 ==> 0
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 resolution: (847) {G1,W4,D3,L1,V1,M1} { group_member( skol1( X ), f ) }.
% 0.70/1.17 parent0[0]: (4) {G0,W7,D3,L2,V2,M2} I { ! group_member( X, h ),
% 0.70/1.17 group_member( skol1( Y ), f ) }.
% 0.70/1.17 parent1[0]: (38) {G2,W4,D3,L1,V0,M1} R(2,20) { group_member( phi(
% 0.70/1.17 f_left_zero ), h ) }.
% 0.70/1.17 substitution0:
% 0.70/1.17 X := phi( f_left_zero )
% 0.70/1.17 Y := X
% 0.70/1.17 end
% 0.70/1.17 substitution1:
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 subsumption: (55) {G3,W4,D3,L1,V1,M1} R(38,4) { group_member( skol1( X ), f
% 0.70/1.17 ) }.
% 0.70/1.17 parent0: (847) {G1,W4,D3,L1,V1,M1} { group_member( skol1( X ), f ) }.
% 0.70/1.17 substitution0:
% 0.70/1.17 X := X
% 0.70/1.17 end
% 0.70/1.17 permutation0:
% 0.70/1.17 0 ==> 0
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 eqswap: (848) {G0,W18,D4,L3,V2,M3} { phi( multiply( f, X, Y ) ) ==>
% 0.70/1.17 multiply( h, phi( X ), phi( Y ) ), ! group_member( X, f ), ! group_member
% 0.70/1.17 ( Y, f ) }.
% 0.70/1.17 parent0[2]: (3) {G0,W18,D4,L3,V2,M3} I { ! group_member( X, f ), !
% 0.70/1.17 group_member( Y, f ), multiply( h, phi( X ), phi( Y ) ) ==> phi( multiply
% 0.70/1.17 ( f, X, Y ) ) }.
% 0.70/1.17 substitution0:
% 0.70/1.17 X := X
% 0.70/1.17 Y := Y
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 resolution: (849) {G1,W15,D4,L2,V1,M2} { phi( multiply( f, f_left_zero, X
% 0.70/1.17 ) ) ==> multiply( h, phi( f_left_zero ), phi( X ) ), ! group_member( X,
% 0.70/1.17 f ) }.
% 0.70/1.17 parent0[1]: (848) {G0,W18,D4,L3,V2,M3} { phi( multiply( f, X, Y ) ) ==>
% 0.70/1.17 multiply( h, phi( X ), phi( Y ) ), ! group_member( X, f ), ! group_member
% 0.70/1.17 ( Y, f ) }.
% 0.70/1.17 parent1[0]: (20) {G1,W3,D2,L1,V0,M1} R(6,12) { group_member( f_left_zero, f
% 0.70/1.17 ) }.
% 0.70/1.17 substitution0:
% 0.70/1.17 X := f_left_zero
% 0.70/1.17 Y := X
% 0.70/1.17 end
% 0.70/1.17 substitution1:
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 eqswap: (852) {G1,W15,D4,L2,V1,M2} { multiply( h, phi( f_left_zero ), phi
% 0.70/1.17 ( X ) ) ==> phi( multiply( f, f_left_zero, X ) ), ! group_member( X, f )
% 0.70/1.17 }.
% 0.70/1.17 parent0[0]: (849) {G1,W15,D4,L2,V1,M2} { phi( multiply( f, f_left_zero, X
% 0.70/1.17 ) ) ==> multiply( h, phi( f_left_zero ), phi( X ) ), ! group_member( X,
% 0.70/1.17 f ) }.
% 0.70/1.17 substitution0:
% 0.70/1.17 X := X
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 subsumption: (65) {G2,W15,D4,L2,V1,M2} R(3,20) { ! group_member( X, f ),
% 0.70/1.17 multiply( h, phi( f_left_zero ), phi( X ) ) ==> phi( multiply( f,
% 0.70/1.17 f_left_zero, X ) ) }.
% 0.70/1.17 parent0: (852) {G1,W15,D4,L2,V1,M2} { multiply( h, phi( f_left_zero ), phi
% 0.70/1.17 ( X ) ) ==> phi( multiply( f, f_left_zero, X ) ), ! group_member( X, f )
% 0.70/1.17 }.
% 0.70/1.17 substitution0:
% 0.70/1.17 X := X
% 0.70/1.17 end
% 0.70/1.17 permutation0:
% 0.70/1.17 0 ==> 1
% 0.70/1.17 1 ==> 0
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 resolution: (853) {G1,W8,D3,L2,V0,M2} { ! alpha1( h, phi( f_left_zero ) )
% 0.70/1.17 , left_zero( h, phi( f_left_zero ) ) }.
% 0.70/1.17 parent0[0]: (8) {G0,W9,D2,L3,V2,M3} I { ! group_member( Y, X ), ! alpha1( X
% 0.70/1.17 , Y ), left_zero( X, Y ) }.
% 0.70/1.17 parent1[0]: (38) {G2,W4,D3,L1,V0,M1} R(2,20) { group_member( phi(
% 0.70/1.17 f_left_zero ), h ) }.
% 0.70/1.17 substitution0:
% 0.70/1.17 X := h
% 0.70/1.17 Y := phi( f_left_zero )
% 0.70/1.17 end
% 0.70/1.17 substitution1:
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 resolution: (854) {G1,W4,D3,L1,V0,M1} { ! alpha1( h, phi( f_left_zero ) )
% 0.70/1.17 }.
% 0.70/1.17 parent0[0]: (13) {G0,W4,D3,L1,V0,M1} I { ! left_zero( h, phi( f_left_zero )
% 0.70/1.17 ) }.
% 0.70/1.17 parent1[1]: (853) {G1,W8,D3,L2,V0,M2} { ! alpha1( h, phi( f_left_zero ) )
% 0.70/1.17 , left_zero( h, phi( f_left_zero ) ) }.
% 0.70/1.17 substitution0:
% 0.70/1.17 end
% 0.70/1.17 substitution1:
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 subsumption: (95) {G3,W4,D3,L1,V0,M1} R(8,38);r(13) { ! alpha1( h, phi(
% 0.70/1.17 f_left_zero ) ) }.
% 0.70/1.17 parent0: (854) {G1,W4,D3,L1,V0,M1} { ! alpha1( h, phi( f_left_zero ) ) }.
% 0.70/1.17 substitution0:
% 0.70/1.17 end
% 0.70/1.17 permutation0:
% 0.70/1.17 0 ==> 0
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 resolution: (855) {G1,W5,D3,L1,V1,M1} { group_member( skol2( h, X ), h )
% 0.70/1.17 }.
% 0.70/1.17 parent0[0]: (95) {G3,W4,D3,L1,V0,M1} R(8,38);r(13) { ! alpha1( h, phi(
% 0.70/1.17 f_left_zero ) ) }.
% 0.70/1.17 parent1[1]: (10) {G0,W8,D3,L2,V3,M2} I { group_member( skol2( X, Z ), X ),
% 0.70/1.17 alpha1( X, Y ) }.
% 0.70/1.17 substitution0:
% 0.70/1.17 end
% 0.70/1.17 substitution1:
% 0.70/1.17 X := h
% 0.70/1.17 Y := phi( f_left_zero )
% 0.70/1.17 Z := X
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 subsumption: (99) {G4,W5,D3,L1,V1,M1} R(95,10) { group_member( skol2( h, X
% 0.70/1.17 ), h ) }.
% 0.70/1.17 parent0: (855) {G1,W5,D3,L1,V1,M1} { group_member( skol2( h, X ), h ) }.
% 0.70/1.17 substitution0:
% 0.70/1.17 X := X
% 0.70/1.17 end
% 0.70/1.17 permutation0:
% 0.70/1.17 0 ==> 0
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 eqswap: (856) {G0,W12,D3,L3,V3,M3} { Y ==> multiply( X, Y, Z ), ! alpha1(
% 0.70/1.17 X, Y ), ! group_member( Z, X ) }.
% 0.70/1.17 parent0[2]: (9) {G0,W12,D3,L3,V3,M3} I { ! alpha1( X, Y ), ! group_member(
% 0.70/1.17 Z, X ), multiply( X, Y, Z ) ==> Y }.
% 0.70/1.17 substitution0:
% 0.70/1.17 X := X
% 0.70/1.17 Y := Y
% 0.70/1.17 Z := Z
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 resolution: (857) {G1,W9,D3,L2,V1,M2} { f_left_zero ==> multiply( f,
% 0.70/1.17 f_left_zero, X ), ! group_member( X, f ) }.
% 0.70/1.17 parent0[1]: (856) {G0,W12,D3,L3,V3,M3} { Y ==> multiply( X, Y, Z ), !
% 0.70/1.17 alpha1( X, Y ), ! group_member( Z, X ) }.
% 0.70/1.17 parent1[0]: (19) {G1,W3,D2,L1,V0,M1} R(7,12) { alpha1( f, f_left_zero ) }.
% 0.70/1.17 substitution0:
% 0.70/1.17 X := f
% 0.70/1.17 Y := f_left_zero
% 0.70/1.17 Z := X
% 0.70/1.17 end
% 0.70/1.17 substitution1:
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 eqswap: (858) {G1,W9,D3,L2,V1,M2} { multiply( f, f_left_zero, X ) ==>
% 0.70/1.17 f_left_zero, ! group_member( X, f ) }.
% 0.70/1.17 parent0[0]: (857) {G1,W9,D3,L2,V1,M2} { f_left_zero ==> multiply( f,
% 0.70/1.17 f_left_zero, X ), ! group_member( X, f ) }.
% 0.70/1.17 substitution0:
% 0.70/1.17 X := X
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 subsumption: (110) {G2,W9,D3,L2,V1,M2} R(9,19) { ! group_member( X, f ),
% 0.70/1.17 multiply( f, f_left_zero, X ) ==> f_left_zero }.
% 0.70/1.17 parent0: (858) {G1,W9,D3,L2,V1,M2} { multiply( f, f_left_zero, X ) ==>
% 0.70/1.17 f_left_zero, ! group_member( X, f ) }.
% 0.70/1.17 substitution0:
% 0.70/1.17 X := X
% 0.70/1.17 end
% 0.70/1.17 permutation0:
% 0.70/1.17 0 ==> 1
% 0.70/1.17 1 ==> 0
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 eqswap: (859) {G0,W8,D4,L2,V1,M2} { X ==> phi( skol1( X ) ), !
% 0.70/1.17 group_member( X, h ) }.
% 0.70/1.17 parent0[1]: (5) {G0,W8,D4,L2,V1,M2} I { ! group_member( X, h ), phi( skol1
% 0.70/1.17 ( X ) ) ==> X }.
% 0.70/1.17 substitution0:
% 0.70/1.17 X := X
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 resolution: (860) {G1,W9,D5,L1,V1,M1} { skol2( h, X ) ==> phi( skol1(
% 0.70/1.17 skol2( h, X ) ) ) }.
% 0.70/1.17 parent0[1]: (859) {G0,W8,D4,L2,V1,M2} { X ==> phi( skol1( X ) ), !
% 0.70/1.17 group_member( X, h ) }.
% 0.70/1.17 parent1[0]: (99) {G4,W5,D3,L1,V1,M1} R(95,10) { group_member( skol2( h, X )
% 0.70/1.17 , h ) }.
% 0.70/1.17 substitution0:
% 0.70/1.17 X := skol2( h, X )
% 0.70/1.17 end
% 0.70/1.17 substitution1:
% 0.70/1.17 X := X
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 eqswap: (861) {G1,W9,D5,L1,V1,M1} { phi( skol1( skol2( h, X ) ) ) ==>
% 0.70/1.17 skol2( h, X ) }.
% 0.70/1.17 parent0[0]: (860) {G1,W9,D5,L1,V1,M1} { skol2( h, X ) ==> phi( skol1(
% 0.70/1.17 skol2( h, X ) ) ) }.
% 0.70/1.17 substitution0:
% 0.70/1.17 X := X
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 subsumption: (118) {G5,W9,D5,L1,V1,M1} R(99,5) { phi( skol1( skol2( h, X )
% 0.70/1.17 ) ) ==> skol2( h, X ) }.
% 0.70/1.17 parent0: (861) {G1,W9,D5,L1,V1,M1} { phi( skol1( skol2( h, X ) ) ) ==>
% 0.70/1.17 skol2( h, X ) }.
% 0.70/1.17 substitution0:
% 0.70/1.17 X := X
% 0.70/1.17 end
% 0.70/1.17 permutation0:
% 0.70/1.17 0 ==> 0
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 eqswap: (862) {G0,W11,D4,L2,V2,M2} { ! Y ==> multiply( X, Y, skol2( X, Y )
% 0.70/1.17 ), alpha1( X, Y ) }.
% 0.70/1.17 parent0[0]: (11) {G0,W11,D4,L2,V2,M2} I { ! multiply( X, Y, skol2( X, Y ) )
% 0.70/1.17 ==> Y, alpha1( X, Y ) }.
% 0.70/1.17 substitution0:
% 0.70/1.17 X := X
% 0.70/1.17 Y := Y
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 resolution: (863) {G1,W11,D5,L1,V0,M1} { ! phi( f_left_zero ) ==> multiply
% 0.70/1.17 ( h, phi( f_left_zero ), skol2( h, phi( f_left_zero ) ) ) }.
% 0.70/1.17 parent0[0]: (95) {G3,W4,D3,L1,V0,M1} R(8,38);r(13) { ! alpha1( h, phi(
% 0.70/1.17 f_left_zero ) ) }.
% 0.70/1.17 parent1[1]: (862) {G0,W11,D4,L2,V2,M2} { ! Y ==> multiply( X, Y, skol2( X
% 0.70/1.17 , Y ) ), alpha1( X, Y ) }.
% 0.70/1.17 substitution0:
% 0.70/1.17 end
% 0.70/1.17 substitution1:
% 0.70/1.17 X := h
% 0.70/1.17 Y := phi( f_left_zero )
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 eqswap: (864) {G1,W11,D5,L1,V0,M1} { ! multiply( h, phi( f_left_zero ),
% 0.70/1.17 skol2( h, phi( f_left_zero ) ) ) ==> phi( f_left_zero ) }.
% 0.70/1.17 parent0[0]: (863) {G1,W11,D5,L1,V0,M1} { ! phi( f_left_zero ) ==> multiply
% 0.70/1.17 ( h, phi( f_left_zero ), skol2( h, phi( f_left_zero ) ) ) }.
% 0.70/1.17 substitution0:
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 subsumption: (139) {G4,W11,D5,L1,V0,M1} R(11,95) { ! multiply( h, phi(
% 0.70/1.17 f_left_zero ), skol2( h, phi( f_left_zero ) ) ) ==> phi( f_left_zero )
% 0.70/1.17 }.
% 0.70/1.17 parent0: (864) {G1,W11,D5,L1,V0,M1} { ! multiply( h, phi( f_left_zero ),
% 0.70/1.17 skol2( h, phi( f_left_zero ) ) ) ==> phi( f_left_zero ) }.
% 0.70/1.17 substitution0:
% 0.70/1.17 end
% 0.70/1.17 permutation0:
% 0.70/1.17 0 ==> 0
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 paramod: (867) {G3,W15,D4,L3,V1,M3} { multiply( h, phi( f_left_zero ), phi
% 0.70/1.17 ( X ) ) ==> phi( f_left_zero ), ! group_member( X, f ), ! group_member( X
% 0.70/1.17 , f ) }.
% 0.70/1.17 parent0[1]: (110) {G2,W9,D3,L2,V1,M2} R(9,19) { ! group_member( X, f ),
% 0.70/1.17 multiply( f, f_left_zero, X ) ==> f_left_zero }.
% 0.70/1.17 parent1[1; 8]: (65) {G2,W15,D4,L2,V1,M2} R(3,20) { ! group_member( X, f ),
% 0.70/1.17 multiply( h, phi( f_left_zero ), phi( X ) ) ==> phi( multiply( f,
% 0.70/1.17 f_left_zero, X ) ) }.
% 0.70/1.17 substitution0:
% 0.70/1.17 X := X
% 0.70/1.17 end
% 0.70/1.17 substitution1:
% 0.70/1.17 X := X
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 factor: (870) {G3,W12,D4,L2,V1,M2} { multiply( h, phi( f_left_zero ), phi
% 0.70/1.17 ( X ) ) ==> phi( f_left_zero ), ! group_member( X, f ) }.
% 0.70/1.17 parent0[1, 2]: (867) {G3,W15,D4,L3,V1,M3} { multiply( h, phi( f_left_zero
% 0.70/1.17 ), phi( X ) ) ==> phi( f_left_zero ), ! group_member( X, f ), !
% 0.70/1.17 group_member( X, f ) }.
% 0.70/1.17 substitution0:
% 0.70/1.17 X := X
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 subsumption: (645) {G3,W12,D4,L2,V1,M2} S(65);d(110) { ! group_member( X, f
% 0.70/1.17 ), multiply( h, phi( f_left_zero ), phi( X ) ) ==> phi( f_left_zero )
% 0.70/1.17 }.
% 0.70/1.17 parent0: (870) {G3,W12,D4,L2,V1,M2} { multiply( h, phi( f_left_zero ), phi
% 0.70/1.17 ( X ) ) ==> phi( f_left_zero ), ! group_member( X, f ) }.
% 0.70/1.17 substitution0:
% 0.70/1.17 X := X
% 0.70/1.17 end
% 0.70/1.17 permutation0:
% 0.70/1.17 0 ==> 1
% 0.70/1.17 1 ==> 0
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 eqswap: (872) {G3,W12,D4,L2,V1,M2} { phi( f_left_zero ) ==> multiply( h,
% 0.70/1.17 phi( f_left_zero ), phi( X ) ), ! group_member( X, f ) }.
% 0.70/1.17 parent0[1]: (645) {G3,W12,D4,L2,V1,M2} S(65);d(110) { ! group_member( X, f
% 0.70/1.17 ), multiply( h, phi( f_left_zero ), phi( X ) ) ==> phi( f_left_zero )
% 0.70/1.17 }.
% 0.70/1.17 substitution0:
% 0.70/1.17 X := X
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 paramod: (873) {G4,W16,D4,L2,V1,M2} { phi( f_left_zero ) ==> multiply( h,
% 0.70/1.17 phi( f_left_zero ), skol2( h, X ) ), ! group_member( skol1( skol2( h, X )
% 0.70/1.17 ), f ) }.
% 0.70/1.17 parent0[0]: (118) {G5,W9,D5,L1,V1,M1} R(99,5) { phi( skol1( skol2( h, X ) )
% 0.70/1.17 ) ==> skol2( h, X ) }.
% 0.70/1.17 parent1[0; 7]: (872) {G3,W12,D4,L2,V1,M2} { phi( f_left_zero ) ==>
% 0.70/1.17 multiply( h, phi( f_left_zero ), phi( X ) ), ! group_member( X, f ) }.
% 0.70/1.17 substitution0:
% 0.70/1.17 X := X
% 0.70/1.17 end
% 0.70/1.17 substitution1:
% 0.70/1.17 X := skol1( skol2( h, X ) )
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 resolution: (874) {G4,W10,D4,L1,V1,M1} { phi( f_left_zero ) ==> multiply(
% 0.70/1.17 h, phi( f_left_zero ), skol2( h, X ) ) }.
% 0.70/1.17 parent0[1]: (873) {G4,W16,D4,L2,V1,M2} { phi( f_left_zero ) ==> multiply(
% 0.70/1.17 h, phi( f_left_zero ), skol2( h, X ) ), ! group_member( skol1( skol2( h,
% 0.70/1.17 X ) ), f ) }.
% 0.70/1.17 parent1[0]: (55) {G3,W4,D3,L1,V1,M1} R(38,4) { group_member( skol1( X ), f
% 0.70/1.17 ) }.
% 0.70/1.17 substitution0:
% 0.70/1.17 X := X
% 0.70/1.17 end
% 0.70/1.17 substitution1:
% 0.70/1.17 X := skol2( h, X )
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 eqswap: (875) {G4,W10,D4,L1,V1,M1} { multiply( h, phi( f_left_zero ),
% 0.70/1.17 skol2( h, X ) ) ==> phi( f_left_zero ) }.
% 0.70/1.17 parent0[0]: (874) {G4,W10,D4,L1,V1,M1} { phi( f_left_zero ) ==> multiply(
% 0.70/1.17 h, phi( f_left_zero ), skol2( h, X ) ) }.
% 0.70/1.17 substitution0:
% 0.70/1.17 X := X
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 subsumption: (655) {G6,W10,D4,L1,V1,M1} P(118,645);r(55) { multiply( h, phi
% 0.70/1.17 ( f_left_zero ), skol2( h, X ) ) ==> phi( f_left_zero ) }.
% 0.70/1.17 parent0: (875) {G4,W10,D4,L1,V1,M1} { multiply( h, phi( f_left_zero ),
% 0.70/1.17 skol2( h, X ) ) ==> phi( f_left_zero ) }.
% 0.70/1.17 substitution0:
% 0.70/1.17 X := X
% 0.70/1.17 end
% 0.70/1.17 permutation0:
% 0.70/1.17 0 ==> 0
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 eqswap: (876) {G6,W10,D4,L1,V1,M1} { phi( f_left_zero ) ==> multiply( h,
% 0.70/1.17 phi( f_left_zero ), skol2( h, X ) ) }.
% 0.70/1.17 parent0[0]: (655) {G6,W10,D4,L1,V1,M1} P(118,645);r(55) { multiply( h, phi
% 0.70/1.17 ( f_left_zero ), skol2( h, X ) ) ==> phi( f_left_zero ) }.
% 0.70/1.17 substitution0:
% 0.70/1.17 X := X
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 eqswap: (877) {G4,W11,D5,L1,V0,M1} { ! phi( f_left_zero ) ==> multiply( h
% 0.70/1.17 , phi( f_left_zero ), skol2( h, phi( f_left_zero ) ) ) }.
% 0.70/1.17 parent0[0]: (139) {G4,W11,D5,L1,V0,M1} R(11,95) { ! multiply( h, phi(
% 0.70/1.17 f_left_zero ), skol2( h, phi( f_left_zero ) ) ) ==> phi( f_left_zero )
% 0.70/1.17 }.
% 0.70/1.17 substitution0:
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 resolution: (878) {G5,W0,D0,L0,V0,M0} { }.
% 0.70/1.17 parent0[0]: (877) {G4,W11,D5,L1,V0,M1} { ! phi( f_left_zero ) ==> multiply
% 0.70/1.17 ( h, phi( f_left_zero ), skol2( h, phi( f_left_zero ) ) ) }.
% 0.70/1.17 parent1[0]: (876) {G6,W10,D4,L1,V1,M1} { phi( f_left_zero ) ==> multiply(
% 0.70/1.17 h, phi( f_left_zero ), skol2( h, X ) ) }.
% 0.70/1.17 substitution0:
% 0.70/1.17 end
% 0.70/1.17 substitution1:
% 0.70/1.17 X := phi( f_left_zero )
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 subsumption: (658) {G7,W0,D0,L0,V0,M0} R(655,139) { }.
% 0.70/1.17 parent0: (878) {G5,W0,D0,L0,V0,M0} { }.
% 0.70/1.17 substitution0:
% 0.70/1.17 end
% 0.70/1.17 permutation0:
% 0.70/1.17 end
% 0.70/1.17
% 0.70/1.17 Proof check complete!
% 0.70/1.17
% 0.70/1.17 Memory use:
% 0.70/1.17
% 0.70/1.17 space for terms: 9911
% 0.70/1.17 space for clauses: 40558
% 0.70/1.17
% 0.70/1.17
% 0.70/1.17 clauses generated: 10958
% 0.70/1.17 clauses kept: 659
% 0.70/1.17 clauses selected: 167
% 0.70/1.17 clauses deleted: 26
% 0.70/1.17 clauses inuse deleted: 0
% 0.70/1.17
% 0.70/1.17 subsentry: 3970
% 0.70/1.17 literals s-matched: 2811
% 0.70/1.17 literals matched: 2739
% 0.70/1.17 full subsumption: 304
% 0.70/1.17
% 0.70/1.17 checksum: -1493088604
% 0.70/1.17
% 0.70/1.17
% 0.70/1.17 Bliksem ended
%------------------------------------------------------------------------------