%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : TOP022+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.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 21:20:17 EDT 2022
% Result : Theorem 0.43s 1.10s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : TOP022+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n021.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 : Sun May 29 08:28:27 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.43/1.10 *** allocated 10000 integers for termspace/termends
% 0.43/1.10 *** allocated 10000 integers for clauses
% 0.43/1.10 *** allocated 10000 integers for justifications
% 0.43/1.10 Bliksem 1.12
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 Automatic Strategy Selection
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 Clauses:
% 0.43/1.10
% 0.43/1.10 { ! isomorphic_groups( X, Y ), a_group_isomorphism_from_to( skol1( X, Y ),
% 0.43/1.10 X, Y ) }.
% 0.43/1.10 { ! a_group_isomorphism_from_to( Z, X, Y ), isomorphic_groups( X, Y ) }.
% 0.43/1.10 { ! path_connected( X ), ! alpha1( X, Y, Z ), a_path_from_to_in( skol2( X,
% 0.43/1.10 Y, Z ), Y, Z, X ) }.
% 0.43/1.10 { alpha1( X, Y, Z ), path_connected( X ) }.
% 0.43/1.10 { ! a_path_from_to_in( T, Y, Z, X ), path_connected( X ) }.
% 0.43/1.10 { ! alpha1( X, Y, Z ), a_member_of( Y, X ) }.
% 0.43/1.10 { ! alpha1( X, Y, Z ), a_member_of( Z, X ) }.
% 0.43/1.10 { ! a_member_of( Y, X ), ! a_member_of( Z, X ), alpha1( X, Y, Z ) }.
% 0.43/1.10 { ! a_path_from_to_in( X, Y, Z, T ), a_group_isomorphism_from_to( alpha_hat
% 0.43/1.10 ( X ), first_homotop_grp( T, Y ), first_homotop_grp( T, Z ) ) }.
% 0.43/1.10 { path_connected( skol3 ) }.
% 0.43/1.10 { a_member_of( skol4, skol3 ) }.
% 0.43/1.10 { a_member_of( skol5, skol3 ) }.
% 0.43/1.10 { ! isomorphic_groups( first_homotop_grp( skol3, skol4 ), first_homotop_grp
% 0.43/1.10 ( skol3, skol5 ) ) }.
% 0.43/1.10
% 0.43/1.10 percentage equality = 0.000000, percentage horn = 0.923077
% 0.43/1.10 This is a near-Horn, non-equality problem
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 Options Used:
% 0.43/1.10
% 0.43/1.10 useres = 1
% 0.43/1.10 useparamod = 0
% 0.43/1.10 useeqrefl = 0
% 0.43/1.10 useeqfact = 0
% 0.43/1.10 usefactor = 1
% 0.43/1.10 usesimpsplitting = 0
% 0.43/1.10 usesimpdemod = 0
% 0.43/1.10 usesimpres = 4
% 0.43/1.10
% 0.43/1.10 resimpinuse = 1000
% 0.43/1.10 resimpclauses = 20000
% 0.43/1.10 substype = standard
% 0.43/1.10 backwardsubs = 1
% 0.43/1.10 selectoldest = 5
% 0.43/1.10
% 0.43/1.10 litorderings [0] = split
% 0.43/1.10 litorderings [1] = liftord
% 0.43/1.10
% 0.43/1.10 termordering = none
% 0.43/1.10
% 0.43/1.10 litapriori = 1
% 0.43/1.10 termapriori = 0
% 0.43/1.10 litaposteriori = 0
% 0.43/1.10 termaposteriori = 0
% 0.43/1.10 demodaposteriori = 0
% 0.43/1.10 ordereqreflfact = 0
% 0.43/1.10
% 0.43/1.10 litselect = negative
% 0.43/1.10
% 0.43/1.10 maxweight = 30000
% 0.43/1.10 maxdepth = 30000
% 0.43/1.10 maxlength = 115
% 0.43/1.10 maxnrvars = 195
% 0.43/1.10 excuselevel = 0
% 0.43/1.10 increasemaxweight = 0
% 0.43/1.10
% 0.43/1.10 maxselected = 10000000
% 0.43/1.10 maxnrclauses = 10000000
% 0.43/1.10
% 0.43/1.10 showgenerated = 0
% 0.43/1.10 showkept = 0
% 0.43/1.10 showselected = 0
% 0.43/1.10 showdeleted = 0
% 0.43/1.10 showresimp = 1
% 0.43/1.10 showstatus = 2000
% 0.43/1.10
% 0.43/1.10 prologoutput = 0
% 0.43/1.10 nrgoals = 5000000
% 0.43/1.10 totalproof = 1
% 0.43/1.10
% 0.43/1.10 Symbols occurring in the translation:
% 0.43/1.10
% 0.43/1.10 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.43/1.10 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 0.43/1.10 ! [4, 1] (w:1, o:16, a:1, s:1, b:0),
% 0.43/1.10 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.10 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.10 isomorphic_groups [37, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.43/1.10 a_group_isomorphism_from_to [39, 3] (w:1, o:51, a:1, s:1, b:0),
% 0.43/1.10 path_connected [43, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.43/1.10 a_member_of [44, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.43/1.10 a_path_from_to_in [46, 4] (w:1, o:54, a:1, s:1, b:0),
% 0.43/1.10 alpha_hat [47, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.43/1.10 first_homotop_grp [48, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.43/1.10 alpha1 [49, 3] (w:1, o:52, a:1, s:1, b:0),
% 0.43/1.10 skol1 [50, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.43/1.10 skol2 [51, 3] (w:1, o:53, a:1, s:1, b:0),
% 0.43/1.10 skol3 [52, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.43/1.10 skol4 [53, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.43/1.10 skol5 [54, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 Starting Search:
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 Bliksems!, er is een bewijs:
% 0.43/1.10 % SZS status Theorem
% 0.43/1.10 % SZS output start Refutation
% 0.43/1.10
% 0.43/1.10 (1) {G0,W8,D2,L2,V3,M1} I { isomorphic_groups( X, Y ), !
% 0.43/1.10 a_group_isomorphism_from_to( Z, X, Y ) }.
% 0.43/1.10 (2) {G0,W16,D3,L3,V3,M1} I { a_path_from_to_in( skol2( X, Y, Z ), Y, Z, X )
% 0.43/1.10 , ! alpha1( X, Y, Z ), ! path_connected( X ) }.
% 0.43/1.10 (7) {G0,W12,D2,L3,V3,M1} I { ! a_member_of( Y, X ), alpha1( X, Y, Z ), !
% 0.43/1.10 a_member_of( Z, X ) }.
% 0.43/1.10 (8) {G0,W15,D3,L2,V4,M1} I { a_group_isomorphism_from_to( alpha_hat( X ),
% 0.43/1.10 first_homotop_grp( T, Y ), first_homotop_grp( T, Z ) ), !
% 0.43/1.10 a_path_from_to_in( X, Y, Z, T ) }.
% 0.43/1.10 (9) {G0,W2,D2,L1,V0,M1} I { path_connected( skol3 ) }.
% 0.43/1.10 (10) {G0,W3,D2,L1,V0,M1} I { a_member_of( skol4, skol3 ) }.
% 0.43/1.10 (11) {G0,W3,D2,L1,V0,M1} I { a_member_of( skol5, skol3 ) }.
% 0.43/1.10 (12) {G0,W8,D3,L1,V0,M1} I { ! isomorphic_groups( first_homotop_grp( skol3
% 0.43/1.10 , skol4 ), first_homotop_grp( skol3, skol5 ) ) }.
% 0.43/1.10 (15) {G1,W13,D3,L2,V2,M1} R(2,9) { a_path_from_to_in( skol2( skol3, X, Y )
% 0.43/1.10 , X, Y, skol3 ), ! alpha1( skol3, X, Y ) }.
% 0.43/1.10 (19) {G1,W8,D2,L2,V1,M1} R(7,11) { alpha1( skol3, X, skol5 ), ! a_member_of
% 0.43/1.10 ( X, skol3 ) }.
% 0.43/1.10 (21) {G2,W4,D2,L1,V0,M1} R(19,10) { alpha1( skol3, skol4, skol5 ) }.
% 0.43/1.10 (22) {G3,W8,D3,L1,V0,M1} R(15,21) { a_path_from_to_in( skol2( skol3, skol4
% 0.43/1.10 , skol5 ), skol4, skol5, skol3 ) }.
% 0.43/1.10 (26) {G4,W12,D4,L1,V0,M1} R(22,8) { a_group_isomorphism_from_to( alpha_hat
% 0.43/1.10 ( skol2( skol3, skol4, skol5 ) ), first_homotop_grp( skol3, skol4 ),
% 0.43/1.10 first_homotop_grp( skol3, skol5 ) ) }.
% 0.43/1.10 (34) {G5,W0,D0,L0,V0,M0} R(26,1);r(12) { }.
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 % SZS output end Refutation
% 0.43/1.10 found a proof!
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 Unprocessed initial clauses:
% 0.43/1.10
% 0.43/1.10 (36) {G0,W10,D3,L2,V2,M2} { ! isomorphic_groups( X, Y ),
% 0.43/1.10 a_group_isomorphism_from_to( skol1( X, Y ), X, Y ) }.
% 0.43/1.10 (37) {G0,W8,D2,L2,V3,M2} { ! a_group_isomorphism_from_to( Z, X, Y ),
% 0.43/1.10 isomorphic_groups( X, Y ) }.
% 0.43/1.10 (38) {G0,W16,D3,L3,V3,M3} { ! path_connected( X ), ! alpha1( X, Y, Z ),
% 0.43/1.10 a_path_from_to_in( skol2( X, Y, Z ), Y, Z, X ) }.
% 0.43/1.10 (39) {G0,W6,D2,L2,V3,M2} { alpha1( X, Y, Z ), path_connected( X ) }.
% 0.43/1.10 (40) {G0,W8,D2,L2,V4,M2} { ! a_path_from_to_in( T, Y, Z, X ),
% 0.43/1.10 path_connected( X ) }.
% 0.43/1.10 (41) {G0,W8,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), a_member_of( Y, X ) }.
% 0.43/1.10 (42) {G0,W8,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), a_member_of( Z, X ) }.
% 0.43/1.10 (43) {G0,W12,D2,L3,V3,M3} { ! a_member_of( Y, X ), ! a_member_of( Z, X ),
% 0.43/1.10 alpha1( X, Y, Z ) }.
% 0.43/1.10 (44) {G0,W15,D3,L2,V4,M2} { ! a_path_from_to_in( X, Y, Z, T ),
% 0.43/1.10 a_group_isomorphism_from_to( alpha_hat( X ), first_homotop_grp( T, Y ),
% 0.43/1.10 first_homotop_grp( T, Z ) ) }.
% 0.43/1.10 (45) {G0,W2,D2,L1,V0,M1} { path_connected( skol3 ) }.
% 0.43/1.10 (46) {G0,W3,D2,L1,V0,M1} { a_member_of( skol4, skol3 ) }.
% 0.43/1.10 (47) {G0,W3,D2,L1,V0,M1} { a_member_of( skol5, skol3 ) }.
% 0.43/1.10 (48) {G0,W8,D3,L1,V0,M1} { ! isomorphic_groups( first_homotop_grp( skol3,
% 0.43/1.10 skol4 ), first_homotop_grp( skol3, skol5 ) ) }.
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 Total Proof:
% 0.43/1.10
% 0.43/1.10 subsumption: (1) {G0,W8,D2,L2,V3,M1} I { isomorphic_groups( X, Y ), !
% 0.43/1.10 a_group_isomorphism_from_to( Z, X, Y ) }.
% 0.43/1.10 parent0: (37) {G0,W8,D2,L2,V3,M2} { ! a_group_isomorphism_from_to( Z, X, Y
% 0.43/1.10 ), isomorphic_groups( X, Y ) }.
% 0.43/1.10 substitution0:
% 0.43/1.10 X := X
% 0.43/1.10 Y := Y
% 0.43/1.10 Z := Z
% 0.43/1.10 end
% 0.43/1.10 permutation0:
% 0.43/1.10 0 ==> 1
% 0.43/1.10 1 ==> 0
% 0.43/1.10 end
% 0.43/1.10
% 0.43/1.10 subsumption: (2) {G0,W16,D3,L3,V3,M1} I { a_path_from_to_in( skol2( X, Y, Z
% 0.43/1.10 ), Y, Z, X ), ! alpha1( X, Y, Z ), ! path_connected( X ) }.
% 0.43/1.10 parent0: (38) {G0,W16,D3,L3,V3,M3} { ! path_connected( X ), ! alpha1( X, Y
% 0.43/1.10 , Z ), a_path_from_to_in( skol2( X, Y, Z ), Y, Z, X ) }.
% 0.43/1.10 substitution0:
% 0.43/1.10 X := X
% 0.43/1.10 Y := Y
% 0.43/1.10 Z := Z
% 0.43/1.10 end
% 0.43/1.10 permutation0:
% 0.43/1.10 0 ==> 2
% 0.43/1.10 1 ==> 1
% 0.43/1.10 2 ==> 0
% 0.43/1.10 end
% 0.43/1.10
% 0.43/1.10 subsumption: (7) {G0,W12,D2,L3,V3,M1} I { ! a_member_of( Y, X ), alpha1( X
% 0.43/1.10 , Y, Z ), ! a_member_of( Z, X ) }.
% 0.43/1.10 parent0: (43) {G0,W12,D2,L3,V3,M3} { ! a_member_of( Y, X ), ! a_member_of
% 0.43/1.10 ( Z, X ), alpha1( X, Y, Z ) }.
% 0.43/1.10 substitution0:
% 0.43/1.10 X := X
% 0.43/1.10 Y := Y
% 0.43/1.10 Z := Z
% 0.43/1.10 end
% 0.43/1.10 permutation0:
% 0.43/1.10 0 ==> 0
% 0.43/1.10 1 ==> 2
% 0.43/1.10 2 ==> 1
% 0.43/1.10 end
% 0.43/1.10
% 0.43/1.10 subsumption: (8) {G0,W15,D3,L2,V4,M1} I { a_group_isomorphism_from_to(
% 0.43/1.10 alpha_hat( X ), first_homotop_grp( T, Y ), first_homotop_grp( T, Z ) ), !
% 0.43/1.10 a_path_from_to_in( X, Y, Z, T ) }.
% 0.43/1.10 parent0: (44) {G0,W15,D3,L2,V4,M2} { ! a_path_from_to_in( X, Y, Z, T ),
% 0.43/1.10 a_group_isomorphism_from_to( alpha_hat( X ), first_homotop_grp( T, Y ),
% 0.43/1.10 first_homotop_grp( T, Z ) ) }.
% 0.43/1.10 substitution0:
% 0.43/1.10 X := X
% 0.43/1.10 Y := Y
% 0.43/1.10 Z := Z
% 0.43/1.10 T := T
% 0.43/1.10 end
% 0.43/1.10 permutation0:
% 0.43/1.10 0 ==> 1
% 0.43/1.10 1 ==> 0
% 0.43/1.10 end
% 0.43/1.10
% 0.43/1.10 subsumption: (9) {G0,W2,D2,L1,V0,M1} I { path_connected( skol3 ) }.
% 0.43/1.10 parent0: (45) {G0,W2,D2,L1,V0,M1} { path_connected( skol3 ) }.
% 0.43/1.10 substitution0:
% 0.43/1.10 end
% 0.43/1.10 permutation0:
% 0.43/1.10 0 ==> 0
% 0.43/1.10 end
% 0.43/1.10
% 0.43/1.10 subsumption: (10) {G0,W3,D2,L1,V0,M1} I { a_member_of( skol4, skol3 ) }.
% 0.43/1.10 parent0: (46) {G0,W3,D2,L1,V0,M1} { a_member_of( skol4, skol3 ) }.
% 0.43/1.10 substitution0:
% 0.43/1.10 end
% 0.43/1.10 permutation0:
% 0.43/1.10 0 ==> 0
% 0.43/1.10 end
% 0.43/1.10
% 0.43/1.10 subsumption: (11) {G0,W3,D2,L1,V0,M1} I { a_member_of( skol5, skol3 ) }.
% 0.43/1.10 parent0: (47) {G0,W3,D2,L1,V0,M1} { a_member_of( skol5, skol3 ) }.
% 0.43/1.10 substitution0:
% 0.43/1.10 end
% 0.43/1.10 permutation0:
% 0.43/1.10 0 ==> 0
% 0.43/1.10 end
% 0.43/1.10
% 0.43/1.10 subsumption: (12) {G0,W8,D3,L1,V0,M1} I { ! isomorphic_groups(
% 0.43/1.10 first_homotop_grp( skol3, skol4 ), first_homotop_grp( skol3, skol5 ) )
% 0.43/1.10 }.
% 0.43/1.10 parent0: (48) {G0,W8,D3,L1,V0,M1} { ! isomorphic_groups( first_homotop_grp
% 0.43/1.10 ( skol3, skol4 ), first_homotop_grp( skol3, skol5 ) ) }.
% 0.43/1.10 substitution0:
% 0.43/1.10 end
% 0.43/1.10 permutation0:
% 0.43/1.10 0 ==> 0
% 0.43/1.10 end
% 0.43/1.10
% 0.43/1.10 resolution: (55) {G1,W13,D3,L2,V2,M2} { a_path_from_to_in( skol2( skol3, X
% 0.43/1.10 , Y ), X, Y, skol3 ), ! alpha1( skol3, X, Y ) }.
% 0.43/1.10 parent0[2]: (2) {G0,W16,D3,L3,V3,M1} I { a_path_from_to_in( skol2( X, Y, Z
% 0.43/1.10 ), Y, Z, X ), ! alpha1( X, Y, Z ), ! path_connected( X ) }.
% 0.43/1.10 parent1[0]: (9) {G0,W2,D2,L1,V0,M1} I { path_connected( skol3 ) }.
% 0.43/1.10 substitution0:
% 0.43/1.10 X := skol3
% 0.43/1.10 Y := X
% 0.43/1.10 Z := Y
% 0.43/1.10 end
% 0.43/1.10 substitution1:
% 0.43/1.10 end
% 0.43/1.10
% 0.43/1.10 subsumption: (15) {G1,W13,D3,L2,V2,M1} R(2,9) { a_path_from_to_in( skol2(
% 0.43/1.10 skol3, X, Y ), X, Y, skol3 ), ! alpha1( skol3, X, Y ) }.
% 0.43/1.10 parent0: (55) {G1,W13,D3,L2,V2,M2} { a_path_from_to_in( skol2( skol3, X, Y
% 0.43/1.10 ), X, Y, skol3 ), ! alpha1( skol3, X, Y ) }.
% 0.43/1.10 substitution0:
% 0.43/1.10 X := X
% 0.43/1.10 Y := Y
% 0.43/1.10 end
% 0.43/1.10 permutation0:
% 0.43/1.10 0 ==> 0
% 0.43/1.10 1 ==> 1
% 0.43/1.10 end
% 0.43/1.10
% 0.43/1.10 resolution: (57) {G1,W8,D2,L2,V1,M2} { ! a_member_of( X, skol3 ), alpha1(
% 0.43/1.10 skol3, X, skol5 ) }.
% 0.43/1.10 parent0[2]: (7) {G0,W12,D2,L3,V3,M1} I { ! a_member_of( Y, X ), alpha1( X,
% 0.43/1.10 Y, Z ), ! a_member_of( Z, X ) }.
% 0.43/1.10 parent1[0]: (11) {G0,W3,D2,L1,V0,M1} I { a_member_of( skol5, skol3 ) }.
% 0.43/1.10 substitution0:
% 0.43/1.10 X := skol3
% 0.43/1.10 Y := X
% 0.43/1.10 Z := skol5
% 0.43/1.10 end
% 0.43/1.10 substitution1:
% 0.43/1.10 end
% 0.43/1.10
% 0.43/1.10 subsumption: (19) {G1,W8,D2,L2,V1,M1} R(7,11) { alpha1( skol3, X, skol5 ),
% 0.43/1.10 ! a_member_of( X, skol3 ) }.
% 0.43/1.10 parent0: (57) {G1,W8,D2,L2,V1,M2} { ! a_member_of( X, skol3 ), alpha1(
% 0.43/1.10 skol3, X, skol5 ) }.
% 0.43/1.10 substitution0:
% 0.43/1.10 X := X
% 0.43/1.10 end
% 0.43/1.10 permutation0:
% 0.43/1.10 0 ==> 1
% 0.43/1.10 1 ==> 0
% 0.43/1.10 end
% 0.43/1.10
% 0.43/1.10 resolution: (58) {G1,W4,D2,L1,V0,M1} { alpha1( skol3, skol4, skol5 ) }.
% 0.43/1.10 parent0[1]: (19) {G1,W8,D2,L2,V1,M1} R(7,11) { alpha1( skol3, X, skol5 ), !
% 0.43/1.10 a_member_of( X, skol3 ) }.
% 0.43/1.10 parent1[0]: (10) {G0,W3,D2,L1,V0,M1} I { a_member_of( skol4, skol3 ) }.
% 0.43/1.10 substitution0:
% 0.43/1.10 X := skol4
% 0.43/1.10 end
% 0.43/1.10 substitution1:
% 0.43/1.10 end
% 0.43/1.10
% 0.43/1.10 subsumption: (21) {G2,W4,D2,L1,V0,M1} R(19,10) { alpha1( skol3, skol4,
% 0.43/1.10 skol5 ) }.
% 0.43/1.10 parent0: (58) {G1,W4,D2,L1,V0,M1} { alpha1( skol3, skol4, skol5 ) }.
% 0.43/1.10 substitution0:
% 0.43/1.10 end
% 0.43/1.10 permutation0:
% 0.43/1.10 0 ==> 0
% 0.43/1.10 end
% 0.43/1.10
% 0.43/1.10 resolution: (59) {G2,W8,D3,L1,V0,M1} { a_path_from_to_in( skol2( skol3,
% 0.43/1.10 skol4, skol5 ), skol4, skol5, skol3 ) }.
% 0.43/1.10 parent0[1]: (15) {G1,W13,D3,L2,V2,M1} R(2,9) { a_path_from_to_in( skol2(
% 0.43/1.10 skol3, X, Y ), X, Y, skol3 ), ! alpha1( skol3, X, Y ) }.
% 0.43/1.10 parent1[0]: (21) {G2,W4,D2,L1,V0,M1} R(19,10) { alpha1( skol3, skol4, skol5
% 0.43/1.10 ) }.
% 0.43/1.10 substitution0:
% 0.43/1.10 X := skol4
% 0.43/1.10 Y := skol5
% 0.43/1.10 end
% 0.43/1.10 substitution1:
% 0.43/1.10 end
% 0.43/1.10
% 0.43/1.10 subsumption: (22) {G3,W8,D3,L1,V0,M1} R(15,21) { a_path_from_to_in( skol2(
% 0.43/1.10 skol3, skol4, skol5 ), skol4, skol5, skol3 ) }.
% 0.43/1.10 parent0: (59) {G2,W8,D3,L1,V0,M1} { a_path_from_to_in( skol2( skol3, skol4
% 0.43/1.10 , skol5 ), skol4, skol5, skol3 ) }.
% 0.43/1.10 substitution0:
% 0.43/1.10 end
% 0.43/1.10 permutation0:
% 0.43/1.10 0 ==> 0
% 0.43/1.10 end
% 0.43/1.10
% 0.43/1.10 resolution: (60) {G1,W12,D4,L1,V0,M1} { a_group_isomorphism_from_to(
% 0.43/1.10 alpha_hat( skol2( skol3, skol4, skol5 ) ), first_homotop_grp( skol3,
% 0.43/1.10 skol4 ), first_homotop_grp( skol3, skol5 ) ) }.
% 0.43/1.10 parent0[1]: (8) {G0,W15,D3,L2,V4,M1} I { a_group_isomorphism_from_to(
% 0.43/1.10 alpha_hat( X ), first_homotop_grp( T, Y ), first_homotop_grp( T, Z ) ), !
% 0.43/1.10 a_path_from_to_in( X, Y, Z, T ) }.
% 0.43/1.10 parent1[0]: (22) {G3,W8,D3,L1,V0,M1} R(15,21) { a_path_from_to_in( skol2(
% 0.43/1.10 skol3, skol4, skol5 ), skol4, skol5, skol3 ) }.
% 0.43/1.10 substitution0:
% 0.43/1.10 X := skol2( skol3, skol4, skol5 )
% 0.43/1.10 Y := skol4
% 0.43/1.10 Z := skol5
% 0.43/1.10 T := skol3
% 0.43/1.10 end
% 0.43/1.10 substitution1:
% 0.43/1.10 end
% 0.43/1.10
% 0.43/1.10 subsumption: (26) {G4,W12,D4,L1,V0,M1} R(22,8) {
% 0.43/1.10 a_group_isomorphism_from_to( alpha_hat( skol2( skol3, skol4, skol5 ) ),
% 0.43/1.10 first_homotop_grp( skol3, skol4 ), first_homotop_grp( skol3, skol5 ) )
% 0.43/1.10 }.
% 0.43/1.10 parent0: (60) {G1,W12,D4,L1,V0,M1} { a_group_isomorphism_from_to(
% 0.43/1.10 alpha_hat( skol2( skol3, skol4, skol5 ) ), first_homotop_grp( skol3,
% 0.43/1.10 skol4 ), first_homotop_grp( skol3, skol5 ) ) }.
% 0.43/1.10 substitution0:
% 0.43/1.10 end
% 0.43/1.10 permutation0:
% 0.43/1.10 0 ==> 0
% 0.43/1.10 end
% 0.43/1.10
% 0.43/1.10 resolution: (61) {G1,W7,D3,L1,V0,M1} { isomorphic_groups(
% 0.43/1.10 first_homotop_grp( skol3, skol4 ), first_homotop_grp( skol3, skol5 ) )
% 0.43/1.10 }.
% 0.43/1.10 parent0[1]: (1) {G0,W8,D2,L2,V3,M1} I { isomorphic_groups( X, Y ), !
% 0.43/1.10 a_group_isomorphism_from_to( Z, X, Y ) }.
% 0.43/1.10 parent1[0]: (26) {G4,W12,D4,L1,V0,M1} R(22,8) { a_group_isomorphism_from_to
% 0.43/1.10 ( alpha_hat( skol2( skol3, skol4, skol5 ) ), first_homotop_grp( skol3,
% 0.43/1.10 skol4 ), first_homotop_grp( skol3, skol5 ) ) }.
% 0.43/1.10 substitution0:
% 0.43/1.10 X := first_homotop_grp( skol3, skol4 )
% 0.43/1.10 Y := first_homotop_grp( skol3, skol5 )
% 0.43/1.10 Z := alpha_hat( skol2( skol3, skol4, skol5 ) )
% 0.43/1.10 end
% 0.43/1.10 substitution1:
% 0.43/1.10 end
% 0.43/1.10
% 0.43/1.10 resolution: (62) {G1,W0,D0,L0,V0,M0} { }.
% 0.43/1.10 parent0[0]: (12) {G0,W8,D3,L1,V0,M1} I { ! isomorphic_groups(
% 0.43/1.10 first_homotop_grp( skol3, skol4 ), first_homotop_grp( skol3, skol5 ) )
% 0.43/1.10 }.
% 0.43/1.10 parent1[0]: (61) {G1,W7,D3,L1,V0,M1} { isomorphic_groups(
% 0.43/1.10 first_homotop_grp( skol3, skol4 ), first_homotop_grp( skol3, skol5 ) )
% 0.43/1.10 }.
% 0.43/1.10 substitution0:
% 0.43/1.10 end
% 0.43/1.10 substitution1:
% 0.43/1.10 end
% 0.43/1.10
% 0.43/1.10 subsumption: (34) {G5,W0,D0,L0,V0,M0} R(26,1);r(12) { }.
% 0.43/1.10 parent0: (62) {G1,W0,D0,L0,V0,M0} { }.
% 0.43/1.10 substitution0:
% 0.43/1.10 end
% 0.43/1.10 permutation0:
% 0.43/1.10 end
% 0.43/1.10
% 0.43/1.10 Proof check complete!
% 0.43/1.10
% 0.43/1.10 Memory use:
% 0.43/1.10
% 0.43/1.10 space for terms: 518
% 0.43/1.10 space for clauses: 2548
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 clauses generated: 55
% 0.43/1.10 clauses kept: 35
% 0.43/1.10 clauses selected: 31
% 0.43/1.10 clauses deleted: 0
% 0.43/1.10 clauses inuse deleted: 0
% 0.43/1.10
% 0.43/1.10 subsentry: 32
% 0.43/1.10 literals s-matched: 23
% 0.43/1.10 literals matched: 23
% 0.43/1.10 full subsumption: 0
% 0.43/1.10
% 0.43/1.10 checksum: -643897433
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 Bliksem ended
%------------------------------------------------------------------------------