%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : TOP021+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.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 0.70s 1.07s
% Output : Refutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : TOP021+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sun May 29 04:01:54 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.70/1.07 *** allocated 10000 integers for termspace/termends
% 0.70/1.07 *** allocated 10000 integers for clauses
% 0.70/1.07 *** allocated 10000 integers for justifications
% 0.70/1.07 Bliksem 1.12
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 Automatic Strategy Selection
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 Clauses:
% 0.70/1.07
% 0.70/1.07 { a_continuous_function_from_onto( the_projection_function( X, Y, Z ),
% 0.70/1.07 the_product_top_space_over( Y, Z ), apply( Y, X ) ) }.
% 0.70/1.07 { an_open_function_from_onto( the_projection_function( X, Y, Z ),
% 0.70/1.07 the_product_top_space_over( T, Z ), apply( T, X ) ) }.
% 0.70/1.07 { ! an_open_function_from_onto( Y, Z, X ), !
% 0.70/1.07 a_continuous_function_from_onto( Y, Z, X ), ! a_locally_compact_top_space
% 0.70/1.07 ( Z ), a_locally_compact_top_space( X ) }.
% 0.70/1.07 { a_locally_compact_top_space( the_product_top_space_over( skol1, skol2 ) )
% 0.70/1.07 }.
% 0.70/1.07 { ! a_locally_compact_top_space( apply( skol1, skol3 ) ) }.
% 0.70/1.07
% 0.70/1.07 percentage equality = 0.000000, percentage horn = 1.000000
% 0.70/1.07 This is a near-Horn, non-equality problem
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 Options Used:
% 0.70/1.07
% 0.70/1.07 useres = 1
% 0.70/1.07 useparamod = 0
% 0.70/1.07 useeqrefl = 0
% 0.70/1.07 useeqfact = 0
% 0.70/1.07 usefactor = 1
% 0.70/1.07 usesimpsplitting = 0
% 0.70/1.07 usesimpdemod = 0
% 0.70/1.07 usesimpres = 4
% 0.70/1.07
% 0.70/1.07 resimpinuse = 1000
% 0.70/1.07 resimpclauses = 20000
% 0.70/1.07 substype = standard
% 0.70/1.07 backwardsubs = 1
% 0.70/1.07 selectoldest = 5
% 0.70/1.07
% 0.70/1.07 litorderings [0] = split
% 0.70/1.07 litorderings [1] = liftord
% 0.70/1.07
% 0.70/1.07 termordering = none
% 0.70/1.07
% 0.70/1.07 litapriori = 1
% 0.70/1.07 termapriori = 0
% 0.70/1.07 litaposteriori = 0
% 0.70/1.07 termaposteriori = 0
% 0.70/1.07 demodaposteriori = 0
% 0.70/1.07 ordereqreflfact = 0
% 0.70/1.07
% 0.70/1.07 litselect = negative
% 0.70/1.07
% 0.70/1.07 maxweight = 30000
% 0.70/1.07 maxdepth = 30000
% 0.70/1.07 maxlength = 115
% 0.70/1.07 maxnrvars = 195
% 0.70/1.07 excuselevel = 0
% 0.70/1.07 increasemaxweight = 0
% 0.70/1.07
% 0.70/1.07 maxselected = 10000000
% 0.70/1.07 maxnrclauses = 10000000
% 0.70/1.07
% 0.70/1.07 showgenerated = 0
% 0.70/1.07 showkept = 0
% 0.70/1.07 showselected = 0
% 0.70/1.07 showdeleted = 0
% 0.70/1.07 showresimp = 1
% 0.70/1.07 showstatus = 2000
% 0.70/1.07
% 0.70/1.07 prologoutput = 0
% 0.70/1.07 nrgoals = 5000000
% 0.70/1.07 totalproof = 1
% 0.70/1.07
% 0.70/1.07 Symbols occurring in the translation:
% 0.70/1.07
% 0.70/1.07 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.70/1.07 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.70/1.07 ! [4, 1] (w:1, o:15, a:1, s:1, b:0),
% 0.70/1.07 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.07 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.07 the_projection_function [38, 3] (w:1, o:47, a:1, s:1, b:0),
% 0.70/1.07 the_product_top_space_over [39, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.70/1.07 apply [40, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.70/1.07 a_continuous_function_from_onto [41, 3] (w:1, o:48, a:1, s:1, b:0),
% 0.70/1.07 an_open_function_from_onto [43, 3] (w:1, o:49, a:1, s:1, b:0),
% 0.70/1.07 a_locally_compact_top_space [46, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.70/1.07 skol1 [47, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.70/1.07 skol2 [48, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.70/1.07 skol3 [49, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 Starting Search:
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 Bliksems!, er is een bewijs:
% 0.70/1.07 % SZS status Theorem
% 0.70/1.07 % SZS output start Refutation
% 0.70/1.07
% 0.70/1.07 (0) {G0,W11,D3,L1,V3,M1} I { a_continuous_function_from_onto(
% 0.70/1.07 the_projection_function( X, Y, Z ), the_product_top_space_over( Y, Z ),
% 0.70/1.07 apply( Y, X ) ) }.
% 0.70/1.07 (1) {G0,W11,D3,L1,V4,M1} I { an_open_function_from_onto(
% 0.70/1.07 the_projection_function( X, Y, Z ), the_product_top_space_over( T, Z ),
% 0.70/1.07 apply( T, X ) ) }.
% 0.70/1.07 (2) {G0,W15,D2,L4,V3,M1} I { ! an_open_function_from_onto( Y, Z, X ), !
% 0.70/1.07 a_locally_compact_top_space( Z ), a_locally_compact_top_space( X ), !
% 0.70/1.07 a_continuous_function_from_onto( Y, Z, X ) }.
% 0.70/1.07 (3) {G0,W4,D3,L1,V0,M1} I { a_locally_compact_top_space(
% 0.70/1.07 the_product_top_space_over( skol1, skol2 ) ) }.
% 0.70/1.07 (4) {G0,W5,D3,L1,V0,M1} I { ! a_locally_compact_top_space( apply( skol1,
% 0.70/1.07 skol3 ) ) }.
% 0.70/1.07 (5) {G1,W9,D3,L2,V3,M1} R(2,0);r(1) { a_locally_compact_top_space( apply( Y
% 0.70/1.07 , X ) ), ! a_locally_compact_top_space( the_product_top_space_over( Y, Z
% 0.70/1.07 ) ) }.
% 0.70/1.07 (6) {G2,W4,D3,L1,V1,M1} R(5,3) { a_locally_compact_top_space( apply( skol1
% 0.70/1.07 , X ) ) }.
% 0.70/1.07 (7) {G3,W0,D0,L0,V0,M0} R(6,4) { }.
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 % SZS output end Refutation
% 0.70/1.07 found a proof!
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 Unprocessed initial clauses:
% 0.70/1.07
% 0.70/1.07 (9) {G0,W11,D3,L1,V3,M1} { a_continuous_function_from_onto(
% 0.70/1.07 the_projection_function( X, Y, Z ), the_product_top_space_over( Y, Z ),
% 0.70/1.07 apply( Y, X ) ) }.
% 0.70/1.07 (10) {G0,W11,D3,L1,V4,M1} { an_open_function_from_onto(
% 0.70/1.07 the_projection_function( X, Y, Z ), the_product_top_space_over( T, Z ),
% 0.70/1.07 apply( T, X ) ) }.
% 0.70/1.07 (11) {G0,W15,D2,L4,V3,M4} { ! an_open_function_from_onto( Y, Z, X ), !
% 0.70/1.07 a_continuous_function_from_onto( Y, Z, X ), ! a_locally_compact_top_space
% 0.70/1.07 ( Z ), a_locally_compact_top_space( X ) }.
% 0.70/1.07 (12) {G0,W4,D3,L1,V0,M1} { a_locally_compact_top_space(
% 0.70/1.07 the_product_top_space_over( skol1, skol2 ) ) }.
% 0.70/1.07 (13) {G0,W5,D3,L1,V0,M1} { ! a_locally_compact_top_space( apply( skol1,
% 0.70/1.07 skol3 ) ) }.
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 Total Proof:
% 0.70/1.07
% 0.70/1.07 subsumption: (0) {G0,W11,D3,L1,V3,M1} I { a_continuous_function_from_onto(
% 0.70/1.07 the_projection_function( X, Y, Z ), the_product_top_space_over( Y, Z ),
% 0.70/1.07 apply( Y, X ) ) }.
% 0.70/1.07 parent0: (9) {G0,W11,D3,L1,V3,M1} { a_continuous_function_from_onto(
% 0.70/1.07 the_projection_function( X, Y, Z ), the_product_top_space_over( Y, Z ),
% 0.70/1.07 apply( Y, X ) ) }.
% 0.70/1.07 substitution0:
% 0.70/1.07 X := X
% 0.70/1.07 Y := Y
% 0.70/1.07 Z := Z
% 0.70/1.07 end
% 0.70/1.07 permutation0:
% 0.70/1.07 0 ==> 0
% 0.70/1.07 end
% 0.70/1.07
% 0.70/1.07 subsumption: (1) {G0,W11,D3,L1,V4,M1} I { an_open_function_from_onto(
% 0.70/1.07 the_projection_function( X, Y, Z ), the_product_top_space_over( T, Z ),
% 0.70/1.07 apply( T, X ) ) }.
% 0.70/1.07 parent0: (10) {G0,W11,D3,L1,V4,M1} { an_open_function_from_onto(
% 0.70/1.07 the_projection_function( X, Y, Z ), the_product_top_space_over( T, Z ),
% 0.70/1.07 apply( T, X ) ) }.
% 0.70/1.07 substitution0:
% 0.70/1.07 X := X
% 0.70/1.07 Y := Y
% 0.70/1.07 Z := Z
% 0.70/1.07 T := T
% 0.70/1.07 end
% 0.70/1.07 permutation0:
% 0.70/1.07 0 ==> 0
% 0.70/1.07 end
% 0.70/1.07
% 0.70/1.07 subsumption: (2) {G0,W15,D2,L4,V3,M1} I { ! an_open_function_from_onto( Y,
% 0.70/1.07 Z, X ), ! a_locally_compact_top_space( Z ), a_locally_compact_top_space(
% 0.70/1.07 X ), ! a_continuous_function_from_onto( Y, Z, X ) }.
% 0.70/1.07 parent0: (11) {G0,W15,D2,L4,V3,M4} { ! an_open_function_from_onto( Y, Z, X
% 0.70/1.07 ), ! a_continuous_function_from_onto( Y, Z, X ), !
% 0.70/1.07 a_locally_compact_top_space( Z ), a_locally_compact_top_space( X ) }.
% 0.70/1.07 substitution0:
% 0.70/1.07 X := X
% 0.70/1.07 Y := Y
% 0.70/1.07 Z := Z
% 0.70/1.07 end
% 0.70/1.07 permutation0:
% 0.70/1.07 0 ==> 0
% 0.70/1.07 1 ==> 3
% 0.70/1.07 2 ==> 1
% 0.70/1.07 3 ==> 2
% 0.70/1.07 end
% 0.70/1.07
% 0.70/1.07 subsumption: (3) {G0,W4,D3,L1,V0,M1} I { a_locally_compact_top_space(
% 0.70/1.07 the_product_top_space_over( skol1, skol2 ) ) }.
% 0.70/1.07 parent0: (12) {G0,W4,D3,L1,V0,M1} { a_locally_compact_top_space(
% 0.70/1.07 the_product_top_space_over( skol1, skol2 ) ) }.
% 0.70/1.07 substitution0:
% 0.70/1.07 end
% 0.70/1.07 permutation0:
% 0.70/1.07 0 ==> 0
% 0.70/1.07 end
% 0.70/1.07
% 0.70/1.07 subsumption: (4) {G0,W5,D3,L1,V0,M1} I { ! a_locally_compact_top_space(
% 0.70/1.07 apply( skol1, skol3 ) ) }.
% 0.70/1.07 parent0: (13) {G0,W5,D3,L1,V0,M1} { ! a_locally_compact_top_space( apply(
% 0.70/1.07 skol1, skol3 ) ) }.
% 0.70/1.07 substitution0:
% 0.70/1.07 end
% 0.70/1.07 permutation0:
% 0.70/1.07 0 ==> 0
% 0.70/1.07 end
% 0.70/1.07
% 0.70/1.07 resolution: (14) {G1,W21,D3,L3,V3,M3} { ! an_open_function_from_onto(
% 0.70/1.07 the_projection_function( X, Y, Z ), the_product_top_space_over( Y, Z ),
% 0.70/1.07 apply( Y, X ) ), ! a_locally_compact_top_space(
% 0.70/1.07 the_product_top_space_over( Y, Z ) ), a_locally_compact_top_space( apply
% 0.70/1.07 ( Y, X ) ) }.
% 0.70/1.07 parent0[3]: (2) {G0,W15,D2,L4,V3,M1} I { ! an_open_function_from_onto( Y, Z
% 0.70/1.07 , X ), ! a_locally_compact_top_space( Z ), a_locally_compact_top_space( X
% 0.70/1.07 ), ! a_continuous_function_from_onto( Y, Z, X ) }.
% 0.70/1.07 parent1[0]: (0) {G0,W11,D3,L1,V3,M1} I { a_continuous_function_from_onto(
% 0.70/1.07 the_projection_function( X, Y, Z ), the_product_top_space_over( Y, Z ),
% 0.70/1.07 apply( Y, X ) ) }.
% 0.70/1.07 substitution0:
% 0.70/1.07 X := apply( Y, X )
% 0.70/1.07 Y := the_projection_function( X, Y, Z )
% 0.70/1.07 Z := the_product_top_space_over( Y, Z )
% 0.70/1.07 end
% 0.70/1.07 substitution1:
% 0.70/1.07 X := X
% 0.70/1.07 Y := Y
% 0.70/1.07 Z := Z
% 0.70/1.07 end
% 0.70/1.07
% 0.70/1.07 resolution: (15) {G1,W9,D3,L2,V3,M2} { ! a_locally_compact_top_space(
% 0.70/1.07 the_product_top_space_over( Y, Z ) ), a_locally_compact_top_space( apply
% 0.70/1.07 ( Y, X ) ) }.
% 0.70/1.07 parent0[0]: (14) {G1,W21,D3,L3,V3,M3} { ! an_open_function_from_onto(
% 0.70/1.07 the_projection_function( X, Y, Z ), the_product_top_space_over( Y, Z ),
% 0.70/1.07 apply( Y, X ) ), ! a_locally_compact_top_space(
% 0.70/1.07 the_product_top_space_over( Y, Z ) ), a_locally_compact_top_space( apply
% 0.70/1.07 ( Y, X ) ) }.
% 0.70/1.07 parent1[0]: (1) {G0,W11,D3,L1,V4,M1} I { an_open_function_from_onto(
% 0.70/1.07 the_projection_function( X, Y, Z ), the_product_top_space_over( T, Z ),
% 0.70/1.07 apply( T, X ) ) }.
% 0.70/1.07 substitution0:
% 0.70/1.07 X := X
% 0.70/1.07 Y := Y
% 0.70/1.07 Z := Z
% 0.70/1.07 end
% 0.70/1.07 substitution1:
% 0.70/1.07 X := X
% 0.70/1.07 Y := Y
% 0.70/1.07 Z := Z
% 0.70/1.07 T := Y
% 0.70/1.07 end
% 0.70/1.07
% 0.70/1.07 subsumption: (5) {G1,W9,D3,L2,V3,M1} R(2,0);r(1) {
% 0.70/1.07 a_locally_compact_top_space( apply( Y, X ) ), !
% 0.70/1.07 a_locally_compact_top_space( the_product_top_space_over( Y, Z ) ) }.
% 0.70/1.07 parent0: (15) {G1,W9,D3,L2,V3,M2} { ! a_locally_compact_top_space(
% 0.70/1.08 the_product_top_space_over( Y, Z ) ), a_locally_compact_top_space( apply
% 0.70/1.08 ( Y, X ) ) }.
% 0.70/1.08 substitution0:
% 0.70/1.08 X := X
% 0.70/1.08 Y := Y
% 0.70/1.08 Z := Z
% 0.70/1.08 end
% 0.70/1.08 permutation0:
% 0.70/1.08 0 ==> 1
% 0.70/1.08 1 ==> 0
% 0.70/1.08 end
% 0.70/1.08
% 0.70/1.08 resolution: (16) {G1,W4,D3,L1,V1,M1} { a_locally_compact_top_space( apply
% 0.70/1.08 ( skol1, X ) ) }.
% 0.70/1.08 parent0[1]: (5) {G1,W9,D3,L2,V3,M1} R(2,0);r(1) {
% 0.70/1.08 a_locally_compact_top_space( apply( Y, X ) ), !
% 0.70/1.08 a_locally_compact_top_space( the_product_top_space_over( Y, Z ) ) }.
% 0.70/1.08 parent1[0]: (3) {G0,W4,D3,L1,V0,M1} I { a_locally_compact_top_space(
% 0.70/1.08 the_product_top_space_over( skol1, skol2 ) ) }.
% 0.70/1.08 substitution0:
% 0.70/1.08 X := X
% 0.70/1.08 Y := skol1
% 0.70/1.08 Z := skol2
% 0.70/1.08 end
% 0.70/1.08 substitution1:
% 0.70/1.08 end
% 0.70/1.08
% 0.70/1.08 subsumption: (6) {G2,W4,D3,L1,V1,M1} R(5,3) { a_locally_compact_top_space(
% 0.70/1.08 apply( skol1, X ) ) }.
% 0.70/1.08 parent0: (16) {G1,W4,D3,L1,V1,M1} { a_locally_compact_top_space( apply(
% 0.70/1.08 skol1, X ) ) }.
% 0.70/1.08 substitution0:
% 0.70/1.08 X := X
% 0.70/1.08 end
% 0.70/1.08 permutation0:
% 0.70/1.08 0 ==> 0
% 0.70/1.08 end
% 0.70/1.08
% 0.70/1.08 resolution: (17) {G1,W0,D0,L0,V0,M0} { }.
% 0.70/1.08 parent0[0]: (4) {G0,W5,D3,L1,V0,M1} I { ! a_locally_compact_top_space(
% 0.70/1.08 apply( skol1, skol3 ) ) }.
% 0.70/1.08 parent1[0]: (6) {G2,W4,D3,L1,V1,M1} R(5,3) { a_locally_compact_top_space(
% 0.70/1.08 apply( skol1, X ) ) }.
% 0.70/1.08 substitution0:
% 0.70/1.08 end
% 0.70/1.08 substitution1:
% 0.70/1.08 X := skol3
% 0.70/1.08 end
% 0.70/1.08
% 0.70/1.08 subsumption: (7) {G3,W0,D0,L0,V0,M0} R(6,4) { }.
% 0.70/1.08 parent0: (17) {G1,W0,D0,L0,V0,M0} { }.
% 0.70/1.08 substitution0:
% 0.70/1.08 end
% 0.70/1.08 permutation0:
% 0.70/1.08 end
% 0.70/1.08
% 0.70/1.08 Proof check complete!
% 0.70/1.08
% 0.70/1.08 Memory use:
% 0.70/1.08
% 0.70/1.08 space for terms: 192
% 0.70/1.08 space for clauses: 604
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 clauses generated: 8
% 0.70/1.08 clauses kept: 8
% 0.70/1.08 clauses selected: 7
% 0.70/1.08 clauses deleted: 0
% 0.70/1.08 clauses inuse deleted: 0
% 0.70/1.08
% 0.70/1.08 subsentry: 0
% 0.70/1.08 literals s-matched: 0
% 0.70/1.08 literals matched: 0
% 0.70/1.08 full subsumption: 0
% 0.70/1.08
% 0.70/1.08 checksum: -33859954
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 Bliksem ended
%------------------------------------------------------------------------------