TSTP Solution File: SEU355+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SEU355+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.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 : Tue Jul 19 07:12:42 EDT 2022
% Result : Theorem 1.44s 1.85s
% Output : Refutation 1.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SEU355+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.14 % Command : bliksem %s
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Sun Jun 19 10:44:59 EDT 2022
% 0.14/0.35 % CPUTime :
% 1.44/1.85 *** allocated 10000 integers for termspace/termends
% 1.44/1.85 *** allocated 10000 integers for clauses
% 1.44/1.85 *** allocated 10000 integers for justifications
% 1.44/1.85 Bliksem 1.12
% 1.44/1.85
% 1.44/1.85
% 1.44/1.85 Automatic Strategy Selection
% 1.44/1.85
% 1.44/1.85
% 1.44/1.85 Clauses:
% 1.44/1.85
% 1.44/1.85 { ! in( X, Y ), ! in( Y, X ) }.
% 1.44/1.85 { ! empty( X ), finite( X ) }.
% 1.44/1.85 { ! rel_str( X ), ! element( Y, the_carrier( X ) ), !
% 1.44/1.85 relstr_element_smaller( X, Z, Y ), ! element( T, the_carrier( X ) ),
% 1.44/1.85 alpha1( X, Y, Z, T ) }.
% 1.44/1.85 { ! rel_str( X ), ! element( Y, the_carrier( X ) ), element( skol1( X, T, U
% 1.44/1.85 ), the_carrier( X ) ), relstr_element_smaller( X, Z, Y ) }.
% 1.44/1.85 { ! rel_str( X ), ! element( Y, the_carrier( X ) ), ! alpha1( X, Y, Z,
% 1.44/1.85 skol1( X, Y, Z ) ), relstr_element_smaller( X, Z, Y ) }.
% 1.44/1.85 { ! alpha1( X, Y, Z, T ), ! in( T, Z ), related( X, Y, T ) }.
% 1.44/1.85 { in( T, Z ), alpha1( X, Y, Z, T ) }.
% 1.44/1.85 { ! related( X, Y, T ), alpha1( X, Y, Z, T ) }.
% 1.44/1.85 { ! rel_str( X ), ! element( Y, the_carrier( X ) ), ! relstr_set_smaller( X
% 1.44/1.85 , Z, Y ), ! element( T, the_carrier( X ) ), alpha2( X, Y, Z, T ) }.
% 1.44/1.85 { ! rel_str( X ), ! element( Y, the_carrier( X ) ), element( skol2( X, T, U
% 1.44/1.85 ), the_carrier( X ) ), relstr_set_smaller( X, Z, Y ) }.
% 1.44/1.85 { ! rel_str( X ), ! element( Y, the_carrier( X ) ), ! alpha2( X, Y, Z,
% 1.44/1.85 skol2( X, Y, Z ) ), relstr_set_smaller( X, Z, Y ) }.
% 1.44/1.85 { ! alpha2( X, Y, Z, T ), ! in( T, Z ), related( X, T, Y ) }.
% 1.44/1.85 { in( T, Z ), alpha2( X, Y, Z, T ) }.
% 1.44/1.85 { ! related( X, T, Y ), alpha2( X, Y, Z, T ) }.
% 1.44/1.85 { && }.
% 1.44/1.85 { ! rel_str( X ), one_sorted_str( X ) }.
% 1.44/1.85 { && }.
% 1.44/1.85 { && }.
% 1.44/1.85 { && }.
% 1.44/1.85 { rel_str( skol3 ) }.
% 1.44/1.85 { one_sorted_str( skol4 ) }.
% 1.44/1.85 { element( skol5( X ), X ) }.
% 1.44/1.85 { empty( empty_set ) }.
% 1.44/1.85 { ! empty( skol6 ) }.
% 1.44/1.85 { finite( skol6 ) }.
% 1.44/1.85 { empty( skol7 ) }.
% 1.44/1.85 { ! empty( skol8 ) }.
% 1.44/1.85 { ! in( X, Y ), element( X, Y ) }.
% 1.44/1.85 { ! element( X, Y ), empty( Y ), in( X, Y ) }.
% 1.44/1.85 { ! empty( X ), X = empty_set }.
% 1.44/1.85 { rel_str( skol9 ) }.
% 1.44/1.85 { element( skol10, the_carrier( skol9 ) ) }.
% 1.44/1.85 { ! relstr_set_smaller( skol9, empty_set, skol10 ), !
% 1.44/1.85 relstr_element_smaller( skol9, empty_set, skol10 ) }.
% 1.44/1.85 { ! in( X, Y ), ! empty( Y ) }.
% 1.44/1.85 { ! empty( X ), X = Y, ! empty( Y ) }.
% 1.44/1.85
% 1.44/1.85 percentage equality = 0.028169, percentage horn = 0.843750
% 1.44/1.85 This is a problem with some equality
% 1.44/1.85
% 1.44/1.85
% 1.44/1.85
% 1.44/1.85 Options Used:
% 1.44/1.85
% 1.44/1.85 useres = 1
% 1.44/1.85 useparamod = 1
% 1.44/1.85 useeqrefl = 1
% 1.44/1.85 useeqfact = 1
% 1.44/1.85 usefactor = 1
% 1.44/1.85 usesimpsplitting = 0
% 1.44/1.85 usesimpdemod = 5
% 1.44/1.85 usesimpres = 3
% 1.44/1.85
% 1.44/1.85 resimpinuse = 1000
% 1.44/1.85 resimpclauses = 20000
% 1.44/1.85 substype = eqrewr
% 1.44/1.85 backwardsubs = 1
% 1.44/1.85 selectoldest = 5
% 1.44/1.85
% 1.44/1.85 litorderings [0] = split
% 1.44/1.85 litorderings [1] = extend the termordering, first sorting on arguments
% 1.44/1.85
% 1.44/1.85 termordering = kbo
% 1.44/1.85
% 1.44/1.85 litapriori = 0
% 1.44/1.85 termapriori = 1
% 1.44/1.85 litaposteriori = 0
% 1.44/1.85 termaposteriori = 0
% 1.44/1.85 demodaposteriori = 0
% 1.44/1.85 ordereqreflfact = 0
% 1.44/1.85
% 1.44/1.85 litselect = negord
% 1.44/1.85
% 1.44/1.85 maxweight = 15
% 1.44/1.85 maxdepth = 30000
% 1.44/1.85 maxlength = 115
% 1.44/1.85 maxnrvars = 195
% 1.44/1.85 excuselevel = 1
% 1.44/1.85 increasemaxweight = 1
% 1.44/1.85
% 1.44/1.85 maxselected = 10000000
% 1.44/1.85 maxnrclauses = 10000000
% 1.44/1.85
% 1.44/1.85 showgenerated = 0
% 1.44/1.85 showkept = 0
% 1.44/1.85 showselected = 0
% 1.44/1.85 showdeleted = 0
% 1.44/1.85 showresimp = 1
% 1.44/1.85 showstatus = 2000
% 1.44/1.85
% 1.44/1.85 prologoutput = 0
% 1.44/1.85 nrgoals = 5000000
% 1.44/1.85 totalproof = 1
% 1.44/1.85
% 1.44/1.85 Symbols occurring in the translation:
% 1.44/1.85
% 1.44/1.85 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.44/1.85 . [1, 2] (w:1, o:29, a:1, s:1, b:0),
% 1.44/1.85 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 1.44/1.85 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 1.44/1.85 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.44/1.85 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.44/1.85 in [37, 2] (w:1, o:53, a:1, s:1, b:0),
% 1.44/1.85 empty [38, 1] (w:1, o:23, a:1, s:1, b:0),
% 1.44/1.85 finite [39, 1] (w:1, o:24, a:1, s:1, b:0),
% 1.44/1.85 rel_str [40, 1] (w:1, o:25, a:1, s:1, b:0),
% 1.44/1.85 the_carrier [42, 1] (w:1, o:27, a:1, s:1, b:0),
% 1.44/1.85 element [43, 2] (w:1, o:54, a:1, s:1, b:0),
% 1.44/1.85 relstr_element_smaller [44, 3] (w:1, o:55, a:1, s:1, b:0),
% 1.44/1.85 related [46, 3] (w:1, o:56, a:1, s:1, b:0),
% 1.44/1.85 relstr_set_smaller [47, 3] (w:1, o:57, a:1, s:1, b:0),
% 1.44/1.85 one_sorted_str [48, 1] (w:1, o:28, a:1, s:1, b:0),
% 1.44/1.85 empty_set [49, 0] (w:1, o:10, a:1, s:1, b:0),
% 1.44/1.85 alpha1 [50, 4] (w:1, o:60, a:1, s:1, b:1),
% 1.44/1.85 alpha2 [51, 4] (w:1, o:61, a:1, s:1, b:1),
% 1.44/1.85 skol1 [52, 3] (w:1, o:58, a:1, s:1, b:1),
% 1.44/1.85 skol2 [53, 3] (w:1, o:59, a:1, s:1, b:1),
% 1.44/1.85 skol3 [54, 0] (w:1, o:11, a:1, s:1, b:1),
% 1.44/1.85 skol4 [55, 0] (w:1, o:12, a:1, s:1, b:1),
% 1.44/1.85 skol5 [56, 1] (w:1, o:26, a:1, s:1, b:1),
% 1.44/1.85 skol6 [57, 0] (w:1, o:13, a:1, s:1, b:1),
% 1.44/1.85 skol7 [58, 0] (w:1, o:14, a:1, s:1, b:1),
% 1.44/1.85 skol8 [59, 0] (w:1, o:15, a:1, s:1, b:1),
% 1.44/1.85 skol9 [60, 0] (w:1, o:16, a:1, s:1, b:1),
% 1.44/1.85 skol10 [61, 0] (w:1, o:17, a:1, s:1, b:1).
% 1.44/1.85
% 1.44/1.85
% 1.44/1.85 Starting Search:
% 1.44/1.85
% 1.44/1.85 *** allocated 15000 integers for clauses
% 1.44/1.85 *** allocated 22500 integers for clauses
% 1.44/1.85 *** allocated 33750 integers for clauses
% 1.44/1.85 *** allocated 50625 integers for clauses
% 1.44/1.85 *** allocated 15000 integers for termspace/termends
% 1.44/1.85 Resimplifying inuse:
% 1.44/1.85 Done
% 1.44/1.85
% 1.44/1.85 *** allocated 75937 integers for clauses
% 1.44/1.85 *** allocated 22500 integers for termspace/termends
% 1.44/1.85 *** allocated 33750 integers for termspace/termends
% 1.44/1.85 *** allocated 113905 integers for clauses
% 1.44/1.85
% 1.44/1.85 Intermediate Status:
% 1.44/1.85 Generated: 9640
% 1.44/1.85 Kept: 2001
% 1.44/1.85 Inuse: 241
% 1.44/1.85 Deleted: 7
% 1.44/1.85 Deletedinuse: 7
% 1.44/1.85
% 1.44/1.85 Resimplifying inuse:
% 1.44/1.85 Done
% 1.44/1.85
% 1.44/1.85 *** allocated 50625 integers for termspace/termends
% 1.44/1.85 *** allocated 170857 integers for clauses
% 1.44/1.85 Resimplifying inuse:
% 1.44/1.85 Done
% 1.44/1.85
% 1.44/1.85 *** allocated 75937 integers for termspace/termends
% 1.44/1.85
% 1.44/1.85 Intermediate Status:
% 1.44/1.85 Generated: 19838
% 1.44/1.85 Kept: 4021
% 1.44/1.85 Inuse: 384
% 1.44/1.85 Deleted: 8
% 1.44/1.85 Deletedinuse: 8
% 1.44/1.85
% 1.44/1.85 Resimplifying inuse:
% 1.44/1.85 Done
% 1.44/1.85
% 1.44/1.85 *** allocated 256285 integers for clauses
% 1.44/1.85 Resimplifying inuse:
% 1.44/1.85 Done
% 1.44/1.85
% 1.44/1.85 *** allocated 113905 integers for termspace/termends
% 1.44/1.85
% 1.44/1.85 Intermediate Status:
% 1.44/1.85 Generated: 33259
% 1.44/1.85 Kept: 6258
% 1.44/1.85 Inuse: 449
% 1.44/1.85 Deleted: 9
% 1.44/1.85 Deletedinuse: 8
% 1.44/1.85
% 1.44/1.85 Resimplifying inuse:
% 1.44/1.85 Done
% 1.44/1.85
% 1.44/1.85 *** allocated 384427 integers for clauses
% 1.44/1.85 Resimplifying inuse:
% 1.44/1.85 Done
% 1.44/1.85
% 1.44/1.85 *** allocated 170857 integers for termspace/termends
% 1.44/1.85
% 1.44/1.85 Intermediate Status:
% 1.44/1.85 Generated: 50824
% 1.44/1.85 Kept: 8264
% 1.44/1.85 Inuse: 534
% 1.44/1.85 Deleted: 14
% 1.44/1.85 Deletedinuse: 9
% 1.44/1.85
% 1.44/1.85 Resimplifying inuse:
% 1.44/1.85 Done
% 1.44/1.85
% 1.44/1.85 Resimplifying inuse:
% 1.44/1.85 Done
% 1.44/1.85
% 1.44/1.85
% 1.44/1.85 Intermediate Status:
% 1.44/1.85 Generated: 66835
% 1.44/1.85 Kept: 10275
% 1.44/1.85 Inuse: 575
% 1.44/1.85 Deleted: 18
% 1.44/1.85 Deletedinuse: 10
% 1.44/1.85
% 1.44/1.85
% 1.44/1.85 Bliksems!, er is een bewijs:
% 1.44/1.85 % SZS status Theorem
% 1.44/1.85 % SZS output start Refutation
% 1.44/1.85
% 1.44/1.85 (4) {G0,W18,D3,L4,V3,M4} I { ! rel_str( X ), ! element( Y, the_carrier( X )
% 1.44/1.85 ), ! alpha1( X, Y, Z, skol1( X, Y, Z ) ), relstr_element_smaller( X, Z,
% 1.44/1.85 Y ) }.
% 1.44/1.85 (6) {G0,W8,D2,L2,V4,M2} I { in( T, Z ), alpha1( X, Y, Z, T ) }.
% 1.44/1.85 (10) {G0,W18,D3,L4,V3,M4} I { ! rel_str( X ), ! element( Y, the_carrier( X
% 1.44/1.85 ) ), ! alpha2( X, Y, Z, skol2( X, Y, Z ) ), relstr_set_smaller( X, Z, Y
% 1.44/1.85 ) }.
% 1.44/1.85 (12) {G0,W8,D2,L2,V4,M2} I { in( T, Z ), alpha2( X, Y, Z, T ) }.
% 1.44/1.85 (22) {G0,W2,D2,L1,V0,M1} I { empty( skol7 ) }.
% 1.44/1.85 (26) {G0,W5,D2,L2,V1,M2} I { ! empty( X ), X = empty_set }.
% 1.44/1.85 (27) {G0,W2,D2,L1,V0,M1} I { rel_str( skol9 ) }.
% 1.44/1.85 (28) {G0,W4,D3,L1,V0,M1} I { element( skol10, the_carrier( skol9 ) ) }.
% 1.44/1.85 (29) {G0,W8,D2,L2,V0,M2} I { ! relstr_set_smaller( skol9, empty_set, skol10
% 1.44/1.85 ), ! relstr_element_smaller( skol9, empty_set, skol10 ) }.
% 1.44/1.85 (30) {G0,W5,D2,L2,V2,M2} I { ! in( X, Y ), ! empty( Y ) }.
% 1.44/1.85 (55) {G1,W3,D2,L1,V1,M1} R(30,22) { ! in( X, skol7 ) }.
% 1.44/1.85 (56) {G1,W3,D2,L1,V0,M1} R(26,22) { skol7 ==> empty_set }.
% 1.44/1.85 (70) {G1,W12,D3,L2,V1,M2} R(4,28);r(27) { ! alpha1( skol9, skol10, X, skol1
% 1.44/1.85 ( skol9, skol10, X ) ), relstr_element_smaller( skol9, X, skol10 ) }.
% 1.44/1.85 (89) {G2,W5,D2,L1,V3,M1} R(6,55);d(56) { alpha1( X, Y, empty_set, Z ) }.
% 1.44/1.85 (168) {G2,W5,D2,L1,V3,M1} R(12,55);d(56) { alpha2( X, Y, empty_set, Z ) }.
% 1.44/1.85 (172) {G3,W10,D3,L3,V2,M3} R(10,168) { ! rel_str( X ), ! element( Y,
% 1.44/1.85 the_carrier( X ) ), relstr_set_smaller( X, empty_set, Y ) }.
% 1.44/1.85 (1047) {G3,W4,D2,L1,V0,M1} R(70,29);r(89) { ! relstr_set_smaller( skol9,
% 1.44/1.85 empty_set, skol10 ) }.
% 1.44/1.85 (10423) {G4,W4,D2,L1,V0,M1} R(172,28);r(27) { relstr_set_smaller( skol9,
% 1.44/1.85 empty_set, skol10 ) }.
% 1.44/1.85 (10465) {G5,W0,D0,L0,V0,M0} S(10423);r(1047) { }.
% 1.44/1.85
% 1.44/1.85
% 1.44/1.85 % SZS output end Refutation
% 1.44/1.85 found a proof!
% 1.44/1.85
% 1.44/1.85
% 1.44/1.85 Unprocessed initial clauses:
% 1.44/1.85
% 1.44/1.85 (10467) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), ! in( Y, X ) }.
% 1.44/1.85 (10468) {G0,W4,D2,L2,V1,M2} { ! empty( X ), finite( X ) }.
% 1.44/1.85 (10469) {G0,W19,D3,L5,V4,M5} { ! rel_str( X ), ! element( Y, the_carrier(
% 1.44/1.85 X ) ), ! relstr_element_smaller( X, Z, Y ), ! element( T, the_carrier( X
% 1.44/1.85 ) ), alpha1( X, Y, Z, T ) }.
% 1.44/1.85 (10470) {G0,W17,D3,L4,V5,M4} { ! rel_str( X ), ! element( Y, the_carrier(
% 1.44/1.85 X ) ), element( skol1( X, T, U ), the_carrier( X ) ),
% 1.44/1.85 relstr_element_smaller( X, Z, Y ) }.
% 1.44/1.85 (10471) {G0,W18,D3,L4,V3,M4} { ! rel_str( X ), ! element( Y, the_carrier(
% 1.44/1.85 X ) ), ! alpha1( X, Y, Z, skol1( X, Y, Z ) ), relstr_element_smaller( X,
% 1.44/1.85 Z, Y ) }.
% 1.44/1.85 (10472) {G0,W12,D2,L3,V4,M3} { ! alpha1( X, Y, Z, T ), ! in( T, Z ),
% 1.44/1.85 related( X, Y, T ) }.
% 1.44/1.85 (10473) {G0,W8,D2,L2,V4,M2} { in( T, Z ), alpha1( X, Y, Z, T ) }.
% 1.44/1.85 (10474) {G0,W9,D2,L2,V4,M2} { ! related( X, Y, T ), alpha1( X, Y, Z, T )
% 1.44/1.85 }.
% 1.44/1.85 (10475) {G0,W19,D3,L5,V4,M5} { ! rel_str( X ), ! element( Y, the_carrier(
% 1.44/1.85 X ) ), ! relstr_set_smaller( X, Z, Y ), ! element( T, the_carrier( X ) )
% 1.44/1.85 , alpha2( X, Y, Z, T ) }.
% 1.44/1.85 (10476) {G0,W17,D3,L4,V5,M4} { ! rel_str( X ), ! element( Y, the_carrier(
% 1.44/1.85 X ) ), element( skol2( X, T, U ), the_carrier( X ) ), relstr_set_smaller
% 1.44/1.85 ( X, Z, Y ) }.
% 1.44/1.85 (10477) {G0,W18,D3,L4,V3,M4} { ! rel_str( X ), ! element( Y, the_carrier(
% 1.44/1.85 X ) ), ! alpha2( X, Y, Z, skol2( X, Y, Z ) ), relstr_set_smaller( X, Z, Y
% 1.44/1.85 ) }.
% 1.44/1.85 (10478) {G0,W12,D2,L3,V4,M3} { ! alpha2( X, Y, Z, T ), ! in( T, Z ),
% 1.44/1.85 related( X, T, Y ) }.
% 1.44/1.85 (10479) {G0,W8,D2,L2,V4,M2} { in( T, Z ), alpha2( X, Y, Z, T ) }.
% 1.44/1.85 (10480) {G0,W9,D2,L2,V4,M2} { ! related( X, T, Y ), alpha2( X, Y, Z, T )
% 1.44/1.85 }.
% 1.44/1.85 (10481) {G0,W1,D1,L1,V0,M1} { && }.
% 1.44/1.85 (10482) {G0,W4,D2,L2,V1,M2} { ! rel_str( X ), one_sorted_str( X ) }.
% 1.44/1.85 (10483) {G0,W1,D1,L1,V0,M1} { && }.
% 1.44/1.85 (10484) {G0,W1,D1,L1,V0,M1} { && }.
% 1.44/1.85 (10485) {G0,W1,D1,L1,V0,M1} { && }.
% 1.44/1.85 (10486) {G0,W2,D2,L1,V0,M1} { rel_str( skol3 ) }.
% 1.44/1.85 (10487) {G0,W2,D2,L1,V0,M1} { one_sorted_str( skol4 ) }.
% 1.44/1.85 (10488) {G0,W4,D3,L1,V1,M1} { element( skol5( X ), X ) }.
% 1.44/1.85 (10489) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 1.44/1.85 (10490) {G0,W2,D2,L1,V0,M1} { ! empty( skol6 ) }.
% 1.44/1.85 (10491) {G0,W2,D2,L1,V0,M1} { finite( skol6 ) }.
% 1.44/1.85 (10492) {G0,W2,D2,L1,V0,M1} { empty( skol7 ) }.
% 1.44/1.85 (10493) {G0,W2,D2,L1,V0,M1} { ! empty( skol8 ) }.
% 1.44/1.85 (10494) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), element( X, Y ) }.
% 1.44/1.85 (10495) {G0,W8,D2,L3,V2,M3} { ! element( X, Y ), empty( Y ), in( X, Y )
% 1.44/1.85 }.
% 1.44/1.85 (10496) {G0,W5,D2,L2,V1,M2} { ! empty( X ), X = empty_set }.
% 1.44/1.85 (10497) {G0,W2,D2,L1,V0,M1} { rel_str( skol9 ) }.
% 1.44/1.85 (10498) {G0,W4,D3,L1,V0,M1} { element( skol10, the_carrier( skol9 ) ) }.
% 1.44/1.85 (10499) {G0,W8,D2,L2,V0,M2} { ! relstr_set_smaller( skol9, empty_set,
% 1.44/1.85 skol10 ), ! relstr_element_smaller( skol9, empty_set, skol10 ) }.
% 1.44/1.85 (10500) {G0,W5,D2,L2,V2,M2} { ! in( X, Y ), ! empty( Y ) }.
% 1.44/1.85 (10501) {G0,W7,D2,L3,V2,M3} { ! empty( X ), X = Y, ! empty( Y ) }.
% 1.44/1.85
% 1.44/1.85
% 1.44/1.85 Total Proof:
% 1.44/1.85
% 1.44/1.85 subsumption: (4) {G0,W18,D3,L4,V3,M4} I { ! rel_str( X ), ! element( Y,
% 1.44/1.85 the_carrier( X ) ), ! alpha1( X, Y, Z, skol1( X, Y, Z ) ),
% 1.44/1.85 relstr_element_smaller( X, Z, Y ) }.
% 1.44/1.85 parent0: (10471) {G0,W18,D3,L4,V3,M4} { ! rel_str( X ), ! element( Y,
% 1.44/1.85 the_carrier( X ) ), ! alpha1( X, Y, Z, skol1( X, Y, Z ) ),
% 1.44/1.85 relstr_element_smaller( X, Z, Y ) }.
% 1.44/1.85 substitution0:
% 1.44/1.85 X := X
% 1.44/1.85 Y := Y
% 1.44/1.85 Z := Z
% 1.44/1.85 end
% 1.44/1.85 permutation0:
% 1.44/1.85 0 ==> 0
% 1.44/1.85 1 ==> 1
% 1.44/1.85 2 ==> 2
% 1.44/1.85 3 ==> 3
% 1.44/1.85 end
% 1.44/1.85
% 1.44/1.85 subsumption: (6) {G0,W8,D2,L2,V4,M2} I { in( T, Z ), alpha1( X, Y, Z, T )
% 1.44/1.85 }.
% 1.44/1.85 parent0: (10473) {G0,W8,D2,L2,V4,M2} { in( T, Z ), alpha1( X, Y, Z, T )
% 1.44/1.85 }.
% 1.44/1.85 substitution0:
% 1.44/1.85 X := X
% 1.44/1.85 Y := Y
% 1.44/1.85 Z := Z
% 1.44/1.85 T := T
% 1.44/1.85 end
% 1.44/1.85 permutation0:
% 1.44/1.85 0 ==> 0
% 1.44/1.85 1 ==> 1
% 1.44/1.85 end
% 1.44/1.85
% 1.44/1.85 subsumption: (10) {G0,W18,D3,L4,V3,M4} I { ! rel_str( X ), ! element( Y,
% 1.44/1.85 the_carrier( X ) ), ! alpha2( X, Y, Z, skol2( X, Y, Z ) ),
% 1.44/1.85 relstr_set_smaller( X, Z, Y ) }.
% 1.44/1.85 parent0: (10477) {G0,W18,D3,L4,V3,M4} { ! rel_str( X ), ! element( Y,
% 1.44/1.85 the_carrier( X ) ), ! alpha2( X, Y, Z, skol2( X, Y, Z ) ),
% 1.44/1.85 relstr_set_smaller( X, Z, Y ) }.
% 1.44/1.85 substitution0:
% 1.44/1.85 X := X
% 1.44/1.85 Y := Y
% 1.44/1.85 Z := Z
% 1.44/1.85 end
% 1.44/1.85 permutation0:
% 1.44/1.85 0 ==> 0
% 1.44/1.85 1 ==> 1
% 1.44/1.85 2 ==> 2
% 1.44/1.85 3 ==> 3
% 1.44/1.85 end
% 1.44/1.85
% 1.44/1.85 subsumption: (12) {G0,W8,D2,L2,V4,M2} I { in( T, Z ), alpha2( X, Y, Z, T )
% 1.44/1.85 }.
% 1.44/1.85 parent0: (10479) {G0,W8,D2,L2,V4,M2} { in( T, Z ), alpha2( X, Y, Z, T )
% 1.44/1.85 }.
% 1.44/1.85 substitution0:
% 1.44/1.85 X := X
% 1.44/1.85 Y := Y
% 1.44/1.85 Z := Z
% 1.44/1.85 T := T
% 1.44/1.85 end
% 1.44/1.85 permutation0:
% 1.44/1.85 0 ==> 0
% 1.44/1.85 1 ==> 1
% 1.44/1.85 end
% 1.44/1.85
% 1.44/1.85 subsumption: (22) {G0,W2,D2,L1,V0,M1} I { empty( skol7 ) }.
% 1.44/1.85 parent0: (10492) {G0,W2,D2,L1,V0,M1} { empty( skol7 ) }.
% 1.44/1.85 substitution0:
% 1.44/1.85 end
% 1.44/1.85 permutation0:
% 1.44/1.85 0 ==> 0
% 1.44/1.85 end
% 1.44/1.85
% 1.44/1.85 subsumption: (26) {G0,W5,D2,L2,V1,M2} I { ! empty( X ), X = empty_set }.
% 1.44/1.85 parent0: (10496) {G0,W5,D2,L2,V1,M2} { ! empty( X ), X = empty_set }.
% 1.44/1.85 substitution0:
% 1.44/1.85 X := X
% 1.44/1.85 end
% 1.44/1.85 permutation0:
% 1.44/1.85 0 ==> 0
% 1.44/1.85 1 ==> 1
% 1.44/1.85 end
% 1.44/1.85
% 1.44/1.85 subsumption: (27) {G0,W2,D2,L1,V0,M1} I { rel_str( skol9 ) }.
% 1.44/1.85 parent0: (10497) {G0,W2,D2,L1,V0,M1} { rel_str( skol9 ) }.
% 1.44/1.85 substitution0:
% 1.44/1.85 end
% 1.44/1.85 permutation0:
% 1.44/1.85 0 ==> 0
% 1.44/1.85 end
% 1.44/1.85
% 1.44/1.85 subsumption: (28) {G0,W4,D3,L1,V0,M1} I { element( skol10, the_carrier(
% 1.44/1.85 skol9 ) ) }.
% 1.44/1.85 parent0: (10498) {G0,W4,D3,L1,V0,M1} { element( skol10, the_carrier( skol9
% 1.44/1.85 ) ) }.
% 1.44/1.85 substitution0:
% 1.44/1.85 end
% 1.44/1.85 permutation0:
% 1.44/1.85 0 ==> 0
% 1.44/1.85 end
% 1.44/1.85
% 1.44/1.85 subsumption: (29) {G0,W8,D2,L2,V0,M2} I { ! relstr_set_smaller( skol9,
% 1.44/1.85 empty_set, skol10 ), ! relstr_element_smaller( skol9, empty_set, skol10 )
% 1.44/1.85 }.
% 1.44/1.85 parent0: (10499) {G0,W8,D2,L2,V0,M2} { ! relstr_set_smaller( skol9,
% 1.44/1.85 empty_set, skol10 ), ! relstr_element_smaller( skol9, empty_set, skol10 )
% 1.44/1.85 }.
% 1.44/1.85 substitution0:
% 1.44/1.85 end
% 1.44/1.85 permutation0:
% 1.44/1.85 0 ==> 0
% 1.44/1.85 1 ==> 1
% 1.44/1.85 end
% 1.44/1.85
% 1.44/1.85 subsumption: (30) {G0,W5,D2,L2,V2,M2} I { ! in( X, Y ), ! empty( Y ) }.
% 1.44/1.85 parent0: (10500) {G0,W5,D2,L2,V2,M2} { ! in( X, Y ), ! empty( Y ) }.
% 1.44/1.85 substitution0:
% 1.44/1.85 X := X
% 1.44/1.85 Y := Y
% 1.44/1.85 end
% 1.44/1.85 permutation0:
% 1.44/1.85 0 ==> 0
% 1.44/1.85 1 ==> 1
% 1.44/1.85 end
% 1.44/1.85
% 1.44/1.85 resolution: (10535) {G1,W3,D2,L1,V1,M1} { ! in( X, skol7 ) }.
% 1.44/1.85 parent0[1]: (30) {G0,W5,D2,L2,V2,M2} I { ! in( X, Y ), ! empty( Y ) }.
% 1.44/1.85 parent1[0]: (22) {G0,W2,D2,L1,V0,M1} I { empty( skol7 ) }.
% 1.44/1.85 substitution0:
% 1.44/1.85 X := X
% 1.44/1.85 Y := skol7
% 1.44/1.85 end
% 1.44/1.85 substitution1:
% 1.44/1.85 end
% 1.44/1.85
% 1.44/1.85 subsumption: (55) {G1,W3,D2,L1,V1,M1} R(30,22) { ! in( X, skol7 ) }.
% 1.44/1.85 parent0: (10535) {G1,W3,D2,L1,V1,M1} { ! in( X, skol7 ) }.
% 1.44/1.85 substitution0:
% 1.44/1.85 X := X
% 1.44/1.85 end
% 1.44/1.85 permutation0:
% 1.44/1.85 0 ==> 0
% 1.44/1.85 end
% 1.44/1.85
% 1.44/1.85 eqswap: (10536) {G0,W5,D2,L2,V1,M2} { empty_set = X, ! empty( X ) }.
% 1.44/1.85 parent0[1]: (26) {G0,W5,D2,L2,V1,M2} I { ! empty( X ), X = empty_set }.
% 1.44/1.85 substitution0:
% 1.44/1.85 X := X
% 1.44/1.85 end
% 1.44/1.85
% 1.44/1.85 resolution: (10537) {G1,W3,D2,L1,V0,M1} { empty_set = skol7 }.
% 1.44/1.85 parent0[1]: (10536) {G0,W5,D2,L2,V1,M2} { empty_set = X, ! empty( X ) }.
% 1.44/1.85 parent1[0]: (22) {G0,W2,D2,L1,V0,M1} I { empty( skol7 ) }.
% 1.44/1.85 substitution0:
% 1.44/1.85 X := skol7
% 1.44/1.85 end
% 1.44/1.85 substitution1:
% 1.44/1.85 end
% 1.44/1.85
% 1.44/1.85 eqswap: (10538) {G1,W3,D2,L1,V0,M1} { skol7 = empty_set }.
% 1.44/1.85 parent0[0]: (10537) {G1,W3,D2,L1,V0,M1} { empty_set = skol7 }.
% 1.44/1.85 substitution0:
% 1.44/1.85 end
% 1.44/1.85
% 1.44/1.85 subsumption: (56) {G1,W3,D2,L1,V0,M1} R(26,22) { skol7 ==> empty_set }.
% 1.44/1.85 parent0: (10538) {G1,W3,D2,L1,V0,M1} { skol7 = empty_set }.
% 1.44/1.85 substitution0:
% 1.44/1.85 end
% 1.44/1.85 permutation0:
% 1.44/1.85 0 ==> 0
% 1.44/1.85 end
% 1.44/1.85
% 1.44/1.85 resolution: (10539) {G1,W14,D3,L3,V1,M3} { ! rel_str( skol9 ), ! alpha1(
% 1.44/1.85 skol9, skol10, X, skol1( skol9, skol10, X ) ), relstr_element_smaller(
% 1.44/1.85 skol9, X, skol10 ) }.
% 1.44/1.85 parent0[1]: (4) {G0,W18,D3,L4,V3,M4} I { ! rel_str( X ), ! element( Y,
% 1.44/1.85 the_carrier( X ) ), ! alpha1( X, Y, Z, skol1( X, Y, Z ) ),
% 1.44/1.85 relstr_element_smaller( X, Z, Y ) }.
% 1.44/1.85 parent1[0]: (28) {G0,W4,D3,L1,V0,M1} I { element( skol10, the_carrier(
% 1.44/1.85 skol9 ) ) }.
% 1.44/1.85 substitution0:
% 1.44/1.85 X := skol9
% 1.44/1.85 Y := skol10
% 1.44/1.85 Z := X
% 1.44/1.85 end
% 1.44/1.85 substitution1:
% 1.44/1.85 end
% 1.44/1.85
% 1.44/1.85 resolution: (10540) {G1,W12,D3,L2,V1,M2} { ! alpha1( skol9, skol10, X,
% 1.44/1.85 skol1( skol9, skol10, X ) ), relstr_element_smaller( skol9, X, skol10 )
% 1.44/1.85 }.
% 1.44/1.85 parent0[0]: (10539) {G1,W14,D3,L3,V1,M3} { ! rel_str( skol9 ), ! alpha1(
% 1.44/1.85 skol9, skol10, X, skol1( skol9, skol10, X ) ), relstr_element_smaller(
% 1.44/1.85 skol9, X, skol10 ) }.
% 1.44/1.85 parent1[0]: (27) {G0,W2,D2,L1,V0,M1} I { rel_str( skol9 ) }.
% 1.44/1.85 substitution0:
% 1.44/1.85 X := X
% 1.44/1.85 end
% 1.44/1.85 substitution1:
% 1.44/1.85 end
% 1.44/1.85
% 1.44/1.85 subsumption: (70) {G1,W12,D3,L2,V1,M2} R(4,28);r(27) { ! alpha1( skol9,
% 1.44/1.85 skol10, X, skol1( skol9, skol10, X ) ), relstr_element_smaller( skol9, X
% 1.44/1.85 , skol10 ) }.
% 1.44/1.85 parent0: (10540) {G1,W12,D3,L2,V1,M2} { ! alpha1( skol9, skol10, X, skol1
% 1.44/1.85 ( skol9, skol10, X ) ), relstr_element_smaller( skol9, X, skol10 ) }.
% 1.44/1.85 substitution0:
% 1.44/1.85 X := X
% 1.44/1.85 end
% 1.44/1.85 permutation0:
% 1.44/1.85 0 ==> 0
% 1.44/1.85 1 ==> 1
% 1.44/1.85 end
% 1.44/1.85
% 1.44/1.85 resolution: (10542) {G1,W5,D2,L1,V3,M1} { alpha1( Y, Z, skol7, X ) }.
% 1.44/1.85 parent0[0]: (55) {G1,W3,D2,L1,V1,M1} R(30,22) { ! in( X, skol7 ) }.
% 1.44/1.85 parent1[0]: (6) {G0,W8,D2,L2,V4,M2} I { in( T, Z ), alpha1( X, Y, Z, T )
% 1.44/1.85 }.
% 1.44/1.85 substitution0:
% 1.44/1.85 X := X
% 1.44/1.85 end
% 1.44/1.85 substitution1:
% 1.44/1.85 X := Y
% 1.44/1.85 Y := Z
% 1.44/1.85 Z := skol7
% 1.44/1.85 T := X
% 1.44/1.85 end
% 1.44/1.85
% 1.44/1.85 paramod: (10543) {G2,W5,D2,L1,V3,M1} { alpha1( X, Y, empty_set, Z ) }.
% 1.44/1.85 parent0[0]: (56) {G1,W3,D2,L1,V0,M1} R(26,22) { skol7 ==> empty_set }.
% 1.44/1.85 parent1[0; 3]: (10542) {G1,W5,D2,L1,V3,M1} { alpha1( Y, Z, skol7, X ) }.
% 1.44/1.85 substitution0:
% 1.44/1.85 end
% 1.44/1.85 substitution1:
% 1.44/1.85 X := Z
% 1.44/1.85 Y := X
% 1.44/1.85 Z := Y
% 1.44/1.85 end
% 1.44/1.85
% 1.44/1.85 subsumption: (89) {G2,W5,D2,L1,V3,M1} R(6,55);d(56) { alpha1( X, Y,
% 1.44/1.85 empty_set, Z ) }.
% 1.44/1.85 parent0: (10543) {G2,W5,D2,L1,V3,M1} { alpha1( X, Y, empty_set, Z ) }.
% 1.44/1.85 substitution0:
% 1.44/1.85 X := X
% 1.44/1.85 Y := Y
% 1.44/1.85 Z := Z
% 1.44/1.85 end
% 1.44/1.85 permutation0:
% 1.44/1.85 0 ==> 0
% 1.44/1.85 end
% 1.44/1.85
% 1.44/1.85 resolution: (10545) {G1,W5,D2,L1,V3,M1} { alpha2( Y, Z, skol7, X ) }.
% 1.44/1.85 parent0[0]: (55) {G1,W3,D2,L1,V1,M1} R(30,22) { ! in( X, skol7 ) }.
% 1.44/1.85 parent1[0]: (12) {G0,W8,D2,L2,V4,M2} I { in( T, Z ), alpha2( X, Y, Z, T )
% 1.44/1.85 }.
% 1.44/1.85 substitution0:
% 1.44/1.85 X := X
% 1.44/1.85 end
% 1.44/1.85 substitution1:
% 1.44/1.85 X := Y
% 1.44/1.85 Y := Z
% 1.44/1.85 Z := skol7
% 1.44/1.85 T := X
% 1.44/1.85 end
% 1.44/1.85
% 1.44/1.85 paramod: (10546) {G2,W5,D2,L1,V3,M1} { alpha2( X, Y, empty_set, Z ) }.
% 1.44/1.85 parent0[0]: (56) {G1,W3,D2,L1,V0,M1} R(26,22) { skol7 ==> empty_set }.
% 1.44/1.85 parent1[0; 3]: (10545) {G1,W5,D2,L1,V3,M1} { alpha2( Y, Z, skol7, X ) }.
% 1.44/1.85 substitution0:
% 1.44/1.85 end
% 1.44/1.85 substitution1:
% 1.44/1.85 X := Z
% 1.44/1.85 Y := X
% 1.44/1.85 Z := Y
% 1.44/1.85 end
% 1.44/1.85
% 1.44/1.85 subsumption: (168) {G2,W5,D2,L1,V3,M1} R(12,55);d(56) { alpha2( X, Y,
% 1.44/1.85 empty_set, Z ) }.
% 1.44/1.85 parent0: (10546) {G2,W5,D2,L1,V3,M1} { alpha2( X, Y, empty_set, Z ) }.
% 1.44/1.85 substitution0:
% 1.44/1.85 X := X
% 1.44/1.85 Y := Y
% 1.44/1.85 Z := Z
% 1.44/1.85 end
% 1.44/1.85 permutation0:
% 1.44/1.85 0 ==> 0
% 1.44/1.85 end
% 1.44/1.85
% 1.44/1.85 resolution: (10547) {G1,W10,D3,L3,V2,M3} { ! rel_str( X ), ! element( Y,
% 1.44/1.85 the_carrier( X ) ), relstr_set_smaller( X, empty_set, Y ) }.
% 1.44/1.85 parent0[2]: (10) {G0,W18,D3,L4,V3,M4} I { ! rel_str( X ), ! element( Y,
% 1.44/1.85 the_carrier( X ) ), ! alpha2( X, Y, Z, skol2( X, Y, Z ) ),
% 1.44/1.85 relstr_set_smaller( X, Z, Y ) }.
% 1.44/1.85 parent1[0]: (168) {G2,W5,D2,L1,V3,M1} R(12,55);d(56) { alpha2( X, Y,
% 1.44/1.85 empty_set, Z ) }.
% 1.44/1.85 substitution0:
% 1.44/1.85 X := X
% 1.44/1.85 Y := Y
% 1.44/1.85 Z := empty_set
% 1.44/1.85 end
% 1.44/1.85 substitution1:
% 1.44/1.85 X := X
% 1.44/1.85 Y := Y
% 1.44/1.85 Z := skol2( X, Y, empty_set )
% 1.44/1.85 end
% 1.44/1.85
% 1.44/1.85 subsumption: (172) {G3,W10,D3,L3,V2,M3} R(10,168) { ! rel_str( X ), !
% 1.44/1.85 element( Y, the_carrier( X ) ), relstr_set_smaller( X, empty_set, Y ) }.
% 1.44/1.85 parent0: (10547) {G1,W10,D3,L3,V2,M3} { ! rel_str( X ), ! element( Y,
% 1.44/1.85 the_carrier( X ) ), relstr_set_smaller( X, empty_set, Y ) }.
% 1.44/1.85 substitution0:
% 1.44/1.85 X := X
% 1.44/1.85 Y := Y
% 1.44/1.85 end
% 1.44/1.85 permutation0:
% 1.44/1.85 0 ==> 0
% 1.44/1.85 1 ==> 1
% 1.44/1.85 2 ==> 2
% 1.44/1.85 end
% 1.44/1.85
% 1.44/1.85 resolution: (10548) {G1,W12,D3,L2,V0,M2} { ! relstr_set_smaller( skol9,
% 1.44/1.85 empty_set, skol10 ), ! alpha1( skol9, skol10, empty_set, skol1( skol9,
% 1.44/1.85 skol10, empty_set ) ) }.
% 1.44/1.85 parent0[1]: (29) {G0,W8,D2,L2,V0,M2} I { ! relstr_set_smaller( skol9,
% 1.44/1.85 empty_set, skol10 ), ! relstr_element_smaller( skol9, empty_set, skol10 )
% 1.44/1.85 }.
% 1.44/1.85 parent1[1]: (70) {G1,W12,D3,L2,V1,M2} R(4,28);r(27) { ! alpha1( skol9,
% 1.44/1.85 skol10, X, skol1( skol9, skol10, X ) ), relstr_element_smaller( skol9, X
% 1.44/1.85 , skol10 ) }.
% 1.44/1.85 substitution0:
% 1.44/1.85 end
% 1.44/1.85 substitution1:
% 1.44/1.85 X := empty_set
% 1.44/1.85 end
% 1.44/1.85
% 1.44/1.85 resolution: (10549) {G2,W4,D2,L1,V0,M1} { ! relstr_set_smaller( skol9,
% 1.44/1.85 empty_set, skol10 ) }.
% 1.44/1.85 parent0[1]: (10548) {G1,W12,D3,L2,V0,M2} { ! relstr_set_smaller( skol9,
% 1.44/1.85 empty_set, skol10 ), ! alpha1( skol9, skol10, empty_set, skol1( skol9,
% 1.44/1.85 skol10, empty_set ) ) }.
% 1.44/1.85 parent1[0]: (89) {G2,W5,D2,L1,V3,M1} R(6,55);d(56) { alpha1( X, Y,
% 1.44/1.85 empty_set, Z ) }.
% 1.44/1.85 substitution0:
% 1.44/1.85 end
% 1.44/1.85 substitution1:
% 1.44/1.85 X := skol9
% 1.44/1.85 Y := skol10
% 1.44/1.85 Z := skol1( skol9, skol10, empty_set )
% 1.44/1.85 end
% 1.44/1.85
% 1.44/1.85 subsumption: (1047) {G3,W4,D2,L1,V0,M1} R(70,29);r(89) { !
% 1.44/1.85 relstr_set_smaller( skol9, empty_set, skol10 ) }.
% 1.44/1.85 parent0: (10549) {G2,W4,D2,L1,V0,M1} { ! relstr_set_smaller( skol9,
% 1.44/1.85 empty_set, skol10 ) }.
% 1.44/1.85 substitution0:
% 1.44/1.85 end
% 1.44/1.85 permutation0:
% 1.44/1.85 0 ==> 0
% 1.44/1.85 end
% 1.44/1.85
% 1.44/1.85 resolution: (10550) {G1,W6,D2,L2,V0,M2} { ! rel_str( skol9 ),
% 1.44/1.85 relstr_set_smaller( skol9, empty_set, skol10 ) }.
% 1.44/1.85 parent0[1]: (172) {G3,W10,D3,L3,V2,M3} R(10,168) { ! rel_str( X ), !
% 1.44/1.85 element( Y, the_carrier( X ) ), relstr_set_smaller( X, empty_set, Y ) }.
% 1.44/1.85 parent1[0]: (28) {G0,W4,D3,L1,V0,M1} I { element( skol10, the_carrier(
% 1.44/1.85 skol9 ) ) }.
% 1.44/1.85 substitution0:
% 1.44/1.85 X := skol9
% 1.44/1.85 Y := skol10
% 1.44/1.85 end
% 1.44/1.85 substitution1:
% 1.44/1.85 end
% 1.44/1.85
% 1.44/1.85 resolution: (10551) {G1,W4,D2,L1,V0,M1} { relstr_set_smaller( skol9,
% 1.44/1.85 empty_set, skol10 ) }.
% 1.44/1.85 parent0[0]: (10550) {G1,W6,D2,L2,V0,M2} { ! rel_str( skol9 ),
% 1.44/1.85 relstr_set_smaller( skol9, empty_set, skol10 ) }.
% 1.44/1.85 parent1[0]: (27) {G0,W2,D2,L1,V0,M1} I { rel_str( skol9 ) }.
% 1.44/1.85 substitution0:
% 1.44/1.85 end
% 1.44/1.85 substitution1:
% 1.44/1.85 end
% 1.44/1.85
% 1.44/1.85 subsumption: (10423) {G4,W4,D2,L1,V0,M1} R(172,28);r(27) {
% 1.44/1.85 relstr_set_smaller( skol9, empty_set, skol10 ) }.
% 1.44/1.85 parent0: (10551) {G1,W4,D2,L1,V0,M1} { relstr_set_smaller( skol9,
% 1.44/1.85 empty_set, skol10 ) }.
% 1.44/1.85 substitution0:
% 1.44/1.85 end
% 1.44/1.85 permutation0:
% 1.44/1.85 0 ==> 0
% 1.44/1.85 end
% 1.44/1.85
% 1.44/1.85 resolution: (10552) {G4,W0,D0,L0,V0,M0} { }.
% 1.44/1.85 parent0[0]: (1047) {G3,W4,D2,L1,V0,M1} R(70,29);r(89) { !
% 1.44/1.85 relstr_set_smaller( skol9, empty_set, skol10 ) }.
% 1.44/1.85 parent1[0]: (10423) {G4,W4,D2,L1,V0,M1} R(172,28);r(27) {
% 1.44/1.85 relstr_set_smaller( skol9, empty_set, skol10 ) }.
% 1.44/1.85 substitution0:
% 1.44/1.85 end
% 1.44/1.85 substitution1:
% 1.44/1.85 end
% 1.44/1.85
% 1.44/1.85 subsumption: (10465) {G5,W0,D0,L0,V0,M0} S(10423);r(1047) { }.
% 1.44/1.85 parent0: (10552) {G4,W0,D0,L0,V0,M0} { }.
% 1.44/1.85 substitution0:
% 1.44/1.85 end
% 1.44/1.85 permutation0:
% 1.44/1.85 end
% 1.44/1.85
% 1.44/1.85 Proof check complete!
% 1.44/1.85
% 1.44/1.85 Memory use:
% 1.44/1.85
% 1.44/1.85 space for terms: 159591
% 1.44/1.85 space for clauses: 381432
% 1.44/1.85
% 1.44/1.85
% 1.44/1.85 clauses generated: 67777
% 1.44/1.85 clauses kept: 10466
% 1.44/1.85 clauses selected: 583
% 1.44/1.85 clauses deleted: 19
% 1.44/1.85 clauses inuse deleted: 10
% 1.44/1.85
% 1.44/1.85 subsentry: 206518
% 1.44/1.85 literals s-matched: 136729
% 1.44/1.85 literals matched: 123484
% 1.44/1.85 full subsumption: 27378
% 1.44/1.85
% 1.44/1.85 checksum: -1126121401
% 1.44/1.85
% 1.44/1.85
% 1.44/1.85 Bliksem ended
%------------------------------------------------------------------------------