TSTP Solution File: SEU306+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SEU306+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n007.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 07:12:19 EDT 2022
% Result : Theorem 0.73s 1.14s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SEU306+1 : TPTP v8.1.0. Released v3.3.0.
% 0.14/0.14 % Command : bliksem %s
% 0.15/0.36 % Computer : n007.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % DateTime : Mon Jun 20 07:24:14 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.73/1.14 *** allocated 10000 integers for termspace/termends
% 0.73/1.14 *** allocated 10000 integers for clauses
% 0.73/1.14 *** allocated 10000 integers for justifications
% 0.73/1.14 Bliksem 1.12
% 0.73/1.14
% 0.73/1.14
% 0.73/1.14 Automatic Strategy Selection
% 0.73/1.14
% 0.73/1.14
% 0.73/1.14 Clauses:
% 0.73/1.14
% 0.73/1.14 { ! in( X, Y ), ! in( Y, X ) }.
% 0.73/1.14 { && }.
% 0.73/1.14 { ! v5_membered( X ), v4_membered( X ) }.
% 0.73/1.14 { ! v4_membered( X ), v3_membered( X ) }.
% 0.73/1.14 { ! v3_membered( X ), v2_membered( X ) }.
% 0.73/1.14 { ! v2_membered( X ), v1_membered( X ) }.
% 0.73/1.14 { ! empty( skol1 ) }.
% 0.73/1.14 { v1_membered( skol1 ) }.
% 0.73/1.14 { v2_membered( skol1 ) }.
% 0.73/1.14 { v3_membered( skol1 ) }.
% 0.73/1.14 { v4_membered( skol1 ) }.
% 0.73/1.14 { v5_membered( skol1 ) }.
% 0.73/1.14 { ! v1_membered( X ), ! element( Y, X ), v1_xcmplx_0( Y ) }.
% 0.73/1.14 { ! v2_membered( X ), ! element( Y, X ), v1_xcmplx_0( Y ) }.
% 0.73/1.14 { ! v2_membered( X ), ! element( Y, X ), v1_xreal_0( Y ) }.
% 0.73/1.14 { ! v3_membered( X ), ! element( Y, X ), v1_xcmplx_0( Y ) }.
% 0.73/1.14 { ! v3_membered( X ), ! element( Y, X ), v1_xreal_0( Y ) }.
% 0.73/1.14 { ! v3_membered( X ), ! element( Y, X ), v1_rat_1( Y ) }.
% 0.73/1.14 { ! v4_membered( X ), ! element( Y, X ), alpha1( Y ) }.
% 0.73/1.14 { ! v4_membered( X ), ! element( Y, X ), v1_rat_1( Y ) }.
% 0.73/1.14 { ! alpha1( X ), v1_xcmplx_0( X ) }.
% 0.73/1.14 { ! alpha1( X ), v1_xreal_0( X ) }.
% 0.73/1.14 { ! alpha1( X ), v1_int_1( X ) }.
% 0.73/1.14 { ! v1_xcmplx_0( X ), ! v1_xreal_0( X ), ! v1_int_1( X ), alpha1( X ) }.
% 0.73/1.14 { ! v5_membered( X ), ! element( Y, X ), alpha2( Y ) }.
% 0.73/1.14 { ! v5_membered( X ), ! element( Y, X ), v1_rat_1( Y ) }.
% 0.73/1.14 { ! alpha2( X ), alpha6( X ) }.
% 0.73/1.14 { ! alpha2( X ), v1_int_1( X ) }.
% 0.73/1.14 { ! alpha6( X ), ! v1_int_1( X ), alpha2( X ) }.
% 0.73/1.14 { ! alpha6( X ), v1_xcmplx_0( X ) }.
% 0.73/1.14 { ! alpha6( X ), natural( X ) }.
% 0.73/1.14 { ! alpha6( X ), v1_xreal_0( X ) }.
% 0.73/1.14 { ! v1_xcmplx_0( X ), ! natural( X ), ! v1_xreal_0( X ), alpha6( X ) }.
% 0.73/1.14 { empty( empty_set ) }.
% 0.73/1.14 { v1_membered( empty_set ) }.
% 0.73/1.14 { v2_membered( empty_set ) }.
% 0.73/1.14 { v3_membered( empty_set ) }.
% 0.73/1.14 { v4_membered( empty_set ) }.
% 0.73/1.14 { v5_membered( empty_set ) }.
% 0.73/1.14 { ! v1_membered( X ), ! element( Y, powerset( X ) ), v1_membered( Y ) }.
% 0.73/1.14 { ! v2_membered( X ), ! element( Y, powerset( X ) ), v1_membered( Y ) }.
% 0.73/1.14 { ! v2_membered( X ), ! element( Y, powerset( X ) ), v2_membered( Y ) }.
% 0.73/1.14 { ! v3_membered( X ), ! element( Y, powerset( X ) ), v1_membered( Y ) }.
% 0.73/1.14 { ! v3_membered( X ), ! element( Y, powerset( X ) ), v2_membered( Y ) }.
% 0.73/1.14 { ! v3_membered( X ), ! element( Y, powerset( X ) ), v3_membered( Y ) }.
% 0.73/1.14 { ! v4_membered( X ), ! element( Y, powerset( X ) ), alpha3( Y ) }.
% 0.73/1.14 { ! v4_membered( X ), ! element( Y, powerset( X ) ), v4_membered( Y ) }.
% 0.73/1.14 { ! alpha3( X ), v1_membered( X ) }.
% 0.73/1.14 { ! alpha3( X ), v2_membered( X ) }.
% 0.73/1.14 { ! alpha3( X ), v3_membered( X ) }.
% 0.73/1.14 { ! v1_membered( X ), ! v2_membered( X ), ! v3_membered( X ), alpha3( X ) }
% 0.73/1.14 .
% 0.73/1.14 { ! v5_membered( X ), ! element( Y, powerset( X ) ), alpha4( Y ) }.
% 0.73/1.14 { ! v5_membered( X ), ! element( Y, powerset( X ) ), v5_membered( Y ) }.
% 0.73/1.14 { ! alpha4( X ), alpha7( X ) }.
% 0.73/1.14 { ! alpha4( X ), v4_membered( X ) }.
% 0.73/1.14 { ! alpha7( X ), ! v4_membered( X ), alpha4( X ) }.
% 0.73/1.14 { ! alpha7( X ), v1_membered( X ) }.
% 0.73/1.14 { ! alpha7( X ), v2_membered( X ) }.
% 0.73/1.14 { ! alpha7( X ), v3_membered( X ) }.
% 0.73/1.14 { ! v1_membered( X ), ! v2_membered( X ), ! v3_membered( X ), alpha7( X ) }
% 0.73/1.14 .
% 0.73/1.14 { ! in( X, Y ), element( X, Y ) }.
% 0.73/1.14 { ! in( X, Z ), ! element( Z, powerset( Y ) ), element( X, Y ) }.
% 0.73/1.14 { ! in( X, Y ), ! element( Y, powerset( Z ) ), ! empty( Z ) }.
% 0.73/1.14 { subset( X, X ) }.
% 0.73/1.14 { empty( X ), ! empty( skol2( Y ) ) }.
% 0.73/1.14 { empty( X ), element( skol2( X ), powerset( X ) ) }.
% 0.73/1.14 { empty( skol3( Y ) ) }.
% 0.73/1.14 { element( skol3( X ), powerset( X ) ) }.
% 0.73/1.14 { ! empty( X ), alpha5( X ) }.
% 0.73/1.14 { ! empty( X ), v5_membered( X ) }.
% 0.73/1.14 { ! alpha5( X ), alpha8( X ) }.
% 0.73/1.14 { ! alpha5( X ), v4_membered( X ) }.
% 0.73/1.14 { ! alpha8( X ), ! v4_membered( X ), alpha5( X ) }.
% 0.73/1.14 { ! alpha8( X ), v1_membered( X ) }.
% 0.73/1.14 { ! alpha8( X ), v2_membered( X ) }.
% 0.73/1.14 { ! alpha8( X ), v3_membered( X ) }.
% 0.73/1.14 { ! v1_membered( X ), ! v2_membered( X ), ! v3_membered( X ), alpha8( X ) }
% 0.73/1.14 .
% 0.73/1.14 { ! element( X, Y ), empty( Y ), in( X, Y ) }.
% 0.73/1.14 { ! empty( X ), X = empty_set }.
% 0.73/1.14 { ! in( X, Y ), ! empty( Y ) }.
% 0.73/1.14 { ! empty( X ), X = Y, ! empty( Y ) }.
% 0.73/1.14 { element( skol4( X ), X ) }.
% 0.73/1.14 { && }.
% 0.73/1.14 { && }.
% 0.73/1.14 { ! empty( powerset( X ) ) }.
% 0.73/1.14 { ! element( X, powerset( Y ) ), subset( X, Y ) }.
% 0.73/1.14 { ! subset( X, Y ), element( X, powerset( Y ) ) }.
% 0.73/1.14 { one_sorted_str( skol5 ) }.
% 0.73/1.14 { ! one_sorted_str( X ), element( cast_as_carrier_subset( X ), powerset(
% 0.73/1.14 the_carrier( X ) ) ) }.
% 0.73/1.14 { && }.
% 0.73/1.14 { && }.
% 0.73/1.14 { ! one_sorted_str( X ), cast_as_carrier_subset( X ) = the_carrier( X ) }.
% 0.73/1.14 { one_sorted_str( skol6 ) }.
% 0.73/1.14 { ! cast_as_carrier_subset( skol6 ) = the_carrier( skol6 ) }.
% 0.73/1.14
% 0.73/1.14 percentage equality = 0.020408, percentage horn = 0.977778
% 0.73/1.14 This is a problem with some equality
% 0.73/1.14
% 0.73/1.14
% 0.73/1.14
% 0.73/1.14 Options Used:
% 0.73/1.14
% 0.73/1.14 useres = 1
% 0.73/1.14 useparamod = 1
% 0.73/1.14 useeqrefl = 1
% 0.73/1.14 useeqfact = 1
% 0.73/1.14 usefactor = 1
% 0.73/1.14 usesimpsplitting = 0
% 0.73/1.14 usesimpdemod = 5
% 0.73/1.14 usesimpres = 3
% 0.73/1.14
% 0.73/1.14 resimpinuse = 1000
% 0.73/1.14 resimpclauses = 20000
% 0.73/1.14 substype = eqrewr
% 0.73/1.14 backwardsubs = 1
% 0.73/1.14 selectoldest = 5
% 0.73/1.14
% 0.73/1.14 litorderings [0] = split
% 0.73/1.14 litorderings [1] = extend the termordering, first sorting on arguments
% 0.73/1.14
% 0.73/1.14 termordering = kbo
% 0.73/1.14
% 0.73/1.14 litapriori = 0
% 0.73/1.14 termapriori = 1
% 0.73/1.14 litaposteriori = 0
% 0.73/1.14 termaposteriori = 0
% 0.73/1.14 demodaposteriori = 0
% 0.73/1.14 ordereqreflfact = 0
% 0.73/1.14
% 0.73/1.14 litselect = negord
% 0.73/1.14
% 0.73/1.14 maxweight = 15
% 0.73/1.14 maxdepth = 30000
% 0.73/1.14 maxlength = 115
% 0.73/1.14 maxnrvars = 195
% 0.73/1.14 excuselevel = 1
% 0.73/1.14 increasemaxweight = 1
% 0.73/1.14
% 0.73/1.14 maxselected = 10000000
% 0.73/1.14 maxnrclauses = 10000000
% 0.73/1.14
% 0.73/1.14 showgenerated = 0
% 0.73/1.14 showkept = 0
% 0.73/1.14 showselected = 0
% 0.73/1.14 showdeleted = 0
% 0.73/1.14 showresimp = 1
% 0.73/1.14 showstatus = 2000
% 0.73/1.14
% 0.73/1.14 prologoutput = 0
% 0.73/1.14 nrgoals = 5000000
% 0.73/1.14 totalproof = 1
% 0.73/1.14
% 0.73/1.14 Symbols occurring in the translation:
% 0.73/1.14
% 0.73/1.14 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.14 . [1, 2] (w:1, o:44, a:1, s:1, b:0),
% 0.73/1.14 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 0.73/1.14 ! [4, 1] (w:0, o:13, a:1, s:1, b:0),
% 0.73/1.14 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.14 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.14 in [37, 2] (w:1, o:68, a:1, s:1, b:0),
% 0.73/1.14 v5_membered [38, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.73/1.14 v4_membered [39, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.73/1.14 v3_membered [40, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.73/1.14 v2_membered [41, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.73/1.14 v1_membered [42, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.73/1.14 empty [43, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.73/1.14 element [44, 2] (w:1, o:69, a:1, s:1, b:0),
% 0.73/1.14 v1_xcmplx_0 [45, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.73/1.14 v1_xreal_0 [46, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.73/1.14 v1_rat_1 [47, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.73/1.14 v1_int_1 [48, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.73/1.14 natural [49, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.73/1.14 empty_set [50, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.73/1.14 powerset [51, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.73/1.14 subset [53, 2] (w:1, o:70, a:1, s:1, b:0),
% 0.73/1.14 one_sorted_str [54, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.73/1.14 cast_as_carrier_subset [55, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.73/1.14 the_carrier [56, 1] (w:1, o:35, a:1, s:1, b:0),
% 0.73/1.14 alpha1 [57, 1] (w:1, o:36, a:1, s:1, b:1),
% 0.73/1.14 alpha2 [58, 1] (w:1, o:37, a:1, s:1, b:1),
% 0.73/1.14 alpha3 [59, 1] (w:1, o:38, a:1, s:1, b:1),
% 0.73/1.14 alpha4 [60, 1] (w:1, o:39, a:1, s:1, b:1),
% 0.73/1.14 alpha5 [61, 1] (w:1, o:40, a:1, s:1, b:1),
% 0.73/1.14 alpha6 [62, 1] (w:1, o:41, a:1, s:1, b:1),
% 0.73/1.14 alpha7 [63, 1] (w:1, o:42, a:1, s:1, b:1),
% 0.73/1.14 alpha8 [64, 1] (w:1, o:43, a:1, s:1, b:1),
% 0.73/1.14 skol1 [65, 0] (w:1, o:10, a:1, s:1, b:1),
% 0.73/1.14 skol2 [66, 1] (w:1, o:32, a:1, s:1, b:1),
% 0.73/1.14 skol3 [67, 1] (w:1, o:33, a:1, s:1, b:1),
% 0.73/1.14 skol4 [68, 1] (w:1, o:34, a:1, s:1, b:1),
% 0.73/1.14 skol5 [69, 0] (w:1, o:11, a:1, s:1, b:1),
% 0.73/1.14 skol6 [70, 0] (w:1, o:12, a:1, s:1, b:1).
% 0.73/1.14
% 0.73/1.14
% 0.73/1.14 Starting Search:
% 0.73/1.14
% 0.73/1.14 *** allocated 15000 integers for clauses
% 0.73/1.14 *** allocated 22500 integers for clauses
% 0.73/1.14 *** allocated 33750 integers for clauses
% 0.73/1.14
% 0.73/1.14 Bliksems!, er is een bewijs:
% 0.73/1.14 % SZS status Theorem
% 0.73/1.14 % SZS output start Refutation
% 0.73/1.14
% 0.73/1.14 (87) {G0,W7,D3,L2,V1,M2} I { ! one_sorted_str( X ), the_carrier( X ) ==>
% 0.73/1.14 cast_as_carrier_subset( X ) }.
% 0.73/1.14 (88) {G0,W2,D2,L1,V0,M1} I { one_sorted_str( skol6 ) }.
% 0.73/1.14 (89) {G0,W5,D3,L1,V0,M1} I { ! the_carrier( skol6 ) ==>
% 0.73/1.14 cast_as_carrier_subset( skol6 ) }.
% 0.73/1.14 (647) {G1,W0,D0,L0,V0,M0} R(87,89);r(88) { }.
% 0.73/1.14
% 0.73/1.14
% 0.73/1.14 % SZS output end Refutation
% 0.73/1.14 found a proof!
% 0.73/1.14
% 0.73/1.14
% 0.73/1.14 Unprocessed initial clauses:
% 0.73/1.14
% 0.73/1.14 (649) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), ! in( Y, X ) }.
% 0.73/1.14 (650) {G0,W1,D1,L1,V0,M1} { && }.
% 0.73/1.14 (651) {G0,W4,D2,L2,V1,M2} { ! v5_membered( X ), v4_membered( X ) }.
% 0.73/1.14 (652) {G0,W4,D2,L2,V1,M2} { ! v4_membered( X ), v3_membered( X ) }.
% 0.73/1.14 (653) {G0,W4,D2,L2,V1,M2} { ! v3_membered( X ), v2_membered( X ) }.
% 0.73/1.14 (654) {G0,W4,D2,L2,V1,M2} { ! v2_membered( X ), v1_membered( X ) }.
% 0.73/1.14 (655) {G0,W2,D2,L1,V0,M1} { ! empty( skol1 ) }.
% 0.73/1.14 (656) {G0,W2,D2,L1,V0,M1} { v1_membered( skol1 ) }.
% 0.73/1.14 (657) {G0,W2,D2,L1,V0,M1} { v2_membered( skol1 ) }.
% 0.73/1.14 (658) {G0,W2,D2,L1,V0,M1} { v3_membered( skol1 ) }.
% 0.73/1.14 (659) {G0,W2,D2,L1,V0,M1} { v4_membered( skol1 ) }.
% 0.73/1.14 (660) {G0,W2,D2,L1,V0,M1} { v5_membered( skol1 ) }.
% 0.73/1.14 (661) {G0,W7,D2,L3,V2,M3} { ! v1_membered( X ), ! element( Y, X ),
% 0.73/1.14 v1_xcmplx_0( Y ) }.
% 0.73/1.14 (662) {G0,W7,D2,L3,V2,M3} { ! v2_membered( X ), ! element( Y, X ),
% 0.73/1.14 v1_xcmplx_0( Y ) }.
% 0.73/1.14 (663) {G0,W7,D2,L3,V2,M3} { ! v2_membered( X ), ! element( Y, X ),
% 0.73/1.14 v1_xreal_0( Y ) }.
% 0.73/1.14 (664) {G0,W7,D2,L3,V2,M3} { ! v3_membered( X ), ! element( Y, X ),
% 0.73/1.14 v1_xcmplx_0( Y ) }.
% 0.73/1.14 (665) {G0,W7,D2,L3,V2,M3} { ! v3_membered( X ), ! element( Y, X ),
% 0.73/1.14 v1_xreal_0( Y ) }.
% 0.73/1.14 (666) {G0,W7,D2,L3,V2,M3} { ! v3_membered( X ), ! element( Y, X ),
% 0.73/1.14 v1_rat_1( Y ) }.
% 0.73/1.14 (667) {G0,W7,D2,L3,V2,M3} { ! v4_membered( X ), ! element( Y, X ), alpha1
% 0.73/1.14 ( Y ) }.
% 0.73/1.14 (668) {G0,W7,D2,L3,V2,M3} { ! v4_membered( X ), ! element( Y, X ),
% 0.73/1.14 v1_rat_1( Y ) }.
% 0.73/1.14 (669) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), v1_xcmplx_0( X ) }.
% 0.73/1.14 (670) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), v1_xreal_0( X ) }.
% 0.73/1.14 (671) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), v1_int_1( X ) }.
% 0.73/1.14 (672) {G0,W8,D2,L4,V1,M4} { ! v1_xcmplx_0( X ), ! v1_xreal_0( X ), !
% 0.73/1.14 v1_int_1( X ), alpha1( X ) }.
% 0.73/1.14 (673) {G0,W7,D2,L3,V2,M3} { ! v5_membered( X ), ! element( Y, X ), alpha2
% 0.73/1.14 ( Y ) }.
% 0.73/1.14 (674) {G0,W7,D2,L3,V2,M3} { ! v5_membered( X ), ! element( Y, X ),
% 0.73/1.14 v1_rat_1( Y ) }.
% 0.73/1.14 (675) {G0,W4,D2,L2,V1,M2} { ! alpha2( X ), alpha6( X ) }.
% 0.73/1.14 (676) {G0,W4,D2,L2,V1,M2} { ! alpha2( X ), v1_int_1( X ) }.
% 0.73/1.14 (677) {G0,W6,D2,L3,V1,M3} { ! alpha6( X ), ! v1_int_1( X ), alpha2( X )
% 0.73/1.14 }.
% 0.73/1.14 (678) {G0,W4,D2,L2,V1,M2} { ! alpha6( X ), v1_xcmplx_0( X ) }.
% 0.73/1.14 (679) {G0,W4,D2,L2,V1,M2} { ! alpha6( X ), natural( X ) }.
% 0.73/1.14 (680) {G0,W4,D2,L2,V1,M2} { ! alpha6( X ), v1_xreal_0( X ) }.
% 0.73/1.14 (681) {G0,W8,D2,L4,V1,M4} { ! v1_xcmplx_0( X ), ! natural( X ), !
% 0.73/1.14 v1_xreal_0( X ), alpha6( X ) }.
% 0.73/1.14 (682) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 0.73/1.14 (683) {G0,W2,D2,L1,V0,M1} { v1_membered( empty_set ) }.
% 0.73/1.14 (684) {G0,W2,D2,L1,V0,M1} { v2_membered( empty_set ) }.
% 0.73/1.14 (685) {G0,W2,D2,L1,V0,M1} { v3_membered( empty_set ) }.
% 0.73/1.14 (686) {G0,W2,D2,L1,V0,M1} { v4_membered( empty_set ) }.
% 0.73/1.14 (687) {G0,W2,D2,L1,V0,M1} { v5_membered( empty_set ) }.
% 0.73/1.14 (688) {G0,W8,D3,L3,V2,M3} { ! v1_membered( X ), ! element( Y, powerset( X
% 0.73/1.14 ) ), v1_membered( Y ) }.
% 0.73/1.14 (689) {G0,W8,D3,L3,V2,M3} { ! v2_membered( X ), ! element( Y, powerset( X
% 0.73/1.14 ) ), v1_membered( Y ) }.
% 0.73/1.14 (690) {G0,W8,D3,L3,V2,M3} { ! v2_membered( X ), ! element( Y, powerset( X
% 0.73/1.14 ) ), v2_membered( Y ) }.
% 0.73/1.14 (691) {G0,W8,D3,L3,V2,M3} { ! v3_membered( X ), ! element( Y, powerset( X
% 0.73/1.14 ) ), v1_membered( Y ) }.
% 0.73/1.14 (692) {G0,W8,D3,L3,V2,M3} { ! v3_membered( X ), ! element( Y, powerset( X
% 0.73/1.14 ) ), v2_membered( Y ) }.
% 0.73/1.14 (693) {G0,W8,D3,L3,V2,M3} { ! v3_membered( X ), ! element( Y, powerset( X
% 0.73/1.14 ) ), v3_membered( Y ) }.
% 0.73/1.14 (694) {G0,W8,D3,L3,V2,M3} { ! v4_membered( X ), ! element( Y, powerset( X
% 0.73/1.14 ) ), alpha3( Y ) }.
% 0.73/1.14 (695) {G0,W8,D3,L3,V2,M3} { ! v4_membered( X ), ! element( Y, powerset( X
% 0.73/1.14 ) ), v4_membered( Y ) }.
% 0.73/1.14 (696) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), v1_membered( X ) }.
% 0.73/1.14 (697) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), v2_membered( X ) }.
% 0.73/1.14 (698) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), v3_membered( X ) }.
% 0.73/1.14 (699) {G0,W8,D2,L4,V1,M4} { ! v1_membered( X ), ! v2_membered( X ), !
% 0.73/1.14 v3_membered( X ), alpha3( X ) }.
% 0.73/1.14 (700) {G0,W8,D3,L3,V2,M3} { ! v5_membered( X ), ! element( Y, powerset( X
% 0.73/1.14 ) ), alpha4( Y ) }.
% 0.73/1.14 (701) {G0,W8,D3,L3,V2,M3} { ! v5_membered( X ), ! element( Y, powerset( X
% 0.73/1.14 ) ), v5_membered( Y ) }.
% 0.73/1.14 (702) {G0,W4,D2,L2,V1,M2} { ! alpha4( X ), alpha7( X ) }.
% 0.73/1.14 (703) {G0,W4,D2,L2,V1,M2} { ! alpha4( X ), v4_membered( X ) }.
% 0.73/1.14 (704) {G0,W6,D2,L3,V1,M3} { ! alpha7( X ), ! v4_membered( X ), alpha4( X )
% 0.73/1.14 }.
% 0.73/1.14 (705) {G0,W4,D2,L2,V1,M2} { ! alpha7( X ), v1_membered( X ) }.
% 0.73/1.14 (706) {G0,W4,D2,L2,V1,M2} { ! alpha7( X ), v2_membered( X ) }.
% 0.73/1.14 (707) {G0,W4,D2,L2,V1,M2} { ! alpha7( X ), v3_membered( X ) }.
% 0.73/1.14 (708) {G0,W8,D2,L4,V1,M4} { ! v1_membered( X ), ! v2_membered( X ), !
% 0.73/1.14 v3_membered( X ), alpha7( X ) }.
% 0.73/1.14 (709) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), element( X, Y ) }.
% 0.73/1.14 (710) {G0,W10,D3,L3,V3,M3} { ! in( X, Z ), ! element( Z, powerset( Y ) ),
% 0.73/1.14 element( X, Y ) }.
% 0.73/1.14 (711) {G0,W9,D3,L3,V3,M3} { ! in( X, Y ), ! element( Y, powerset( Z ) ), !
% 0.73/1.14 empty( Z ) }.
% 0.73/1.14 (712) {G0,W3,D2,L1,V1,M1} { subset( X, X ) }.
% 0.73/1.14 (713) {G0,W5,D3,L2,V2,M2} { empty( X ), ! empty( skol2( Y ) ) }.
% 0.73/1.14 (714) {G0,W7,D3,L2,V1,M2} { empty( X ), element( skol2( X ), powerset( X )
% 0.73/1.14 ) }.
% 0.73/1.14 (715) {G0,W3,D3,L1,V1,M1} { empty( skol3( Y ) ) }.
% 0.73/1.14 (716) {G0,W5,D3,L1,V1,M1} { element( skol3( X ), powerset( X ) ) }.
% 0.73/1.14 (717) {G0,W4,D2,L2,V1,M2} { ! empty( X ), alpha5( X ) }.
% 0.73/1.14 (718) {G0,W4,D2,L2,V1,M2} { ! empty( X ), v5_membered( X ) }.
% 0.73/1.14 (719) {G0,W4,D2,L2,V1,M2} { ! alpha5( X ), alpha8( X ) }.
% 0.73/1.14 (720) {G0,W4,D2,L2,V1,M2} { ! alpha5( X ), v4_membered( X ) }.
% 0.73/1.14 (721) {G0,W6,D2,L3,V1,M3} { ! alpha8( X ), ! v4_membered( X ), alpha5( X )
% 0.73/1.14 }.
% 0.73/1.14 (722) {G0,W4,D2,L2,V1,M2} { ! alpha8( X ), v1_membered( X ) }.
% 0.73/1.14 (723) {G0,W4,D2,L2,V1,M2} { ! alpha8( X ), v2_membered( X ) }.
% 0.73/1.14 (724) {G0,W4,D2,L2,V1,M2} { ! alpha8( X ), v3_membered( X ) }.
% 0.73/1.14 (725) {G0,W8,D2,L4,V1,M4} { ! v1_membered( X ), ! v2_membered( X ), !
% 0.73/1.14 v3_membered( X ), alpha8( X ) }.
% 0.73/1.14 (726) {G0,W8,D2,L3,V2,M3} { ! element( X, Y ), empty( Y ), in( X, Y ) }.
% 0.73/1.14 (727) {G0,W5,D2,L2,V1,M2} { ! empty( X ), X = empty_set }.
% 0.73/1.14 (728) {G0,W5,D2,L2,V2,M2} { ! in( X, Y ), ! empty( Y ) }.
% 0.73/1.14 (729) {G0,W7,D2,L3,V2,M3} { ! empty( X ), X = Y, ! empty( Y ) }.
% 0.73/1.14 (730) {G0,W4,D3,L1,V1,M1} { element( skol4( X ), X ) }.
% 0.73/1.14 (731) {G0,W1,D1,L1,V0,M1} { && }.
% 0.73/1.14 (732) {G0,W1,D1,L1,V0,M1} { && }.
% 0.73/1.14 (733) {G0,W3,D3,L1,V1,M1} { ! empty( powerset( X ) ) }.
% 0.73/1.14 (734) {G0,W7,D3,L2,V2,M2} { ! element( X, powerset( Y ) ), subset( X, Y )
% 0.73/1.14 }.
% 0.73/1.14 (735) {G0,W7,D3,L2,V2,M2} { ! subset( X, Y ), element( X, powerset( Y ) )
% 0.73/1.14 }.
% 0.73/1.14 (736) {G0,W2,D2,L1,V0,M1} { one_sorted_str( skol5 ) }.
% 0.73/1.14 (737) {G0,W8,D4,L2,V1,M2} { ! one_sorted_str( X ), element(
% 0.73/1.14 cast_as_carrier_subset( X ), powerset( the_carrier( X ) ) ) }.
% 0.73/1.14 (738) {G0,W1,D1,L1,V0,M1} { && }.
% 0.73/1.14 (739) {G0,W1,D1,L1,V0,M1} { && }.
% 0.73/1.14 (740) {G0,W7,D3,L2,V1,M2} { ! one_sorted_str( X ), cast_as_carrier_subset
% 0.73/1.14 ( X ) = the_carrier( X ) }.
% 0.73/1.14 (741) {G0,W2,D2,L1,V0,M1} { one_sorted_str( skol6 ) }.
% 0.73/1.14 (742) {G0,W5,D3,L1,V0,M1} { ! cast_as_carrier_subset( skol6 ) =
% 0.73/1.14 the_carrier( skol6 ) }.
% 0.73/1.14
% 0.73/1.14
% 0.73/1.14 Total Proof:
% 0.73/1.14
% 0.73/1.14 eqswap: (746) {G0,W7,D3,L2,V1,M2} { the_carrier( X ) =
% 0.73/1.14 cast_as_carrier_subset( X ), ! one_sorted_str( X ) }.
% 0.73/1.14 parent0[1]: (740) {G0,W7,D3,L2,V1,M2} { ! one_sorted_str( X ),
% 0.73/1.14 cast_as_carrier_subset( X ) = the_carrier( X ) }.
% 0.73/1.14 substitution0:
% 0.73/1.14 X := X
% 0.73/1.14 end
% 0.73/1.14
% 0.73/1.14 subsumption: (87) {G0,W7,D3,L2,V1,M2} I { ! one_sorted_str( X ),
% 0.73/1.14 the_carrier( X ) ==> cast_as_carrier_subset( X ) }.
% 0.73/1.14 parent0: (746) {G0,W7,D3,L2,V1,M2} { the_carrier( X ) =
% 0.73/1.14 cast_as_carrier_subset( X ), ! one_sorted_str( X ) }.
% 0.73/1.14 substitution0:
% 0.73/1.14 X := X
% 0.73/1.14 end
% 0.73/1.14 permutation0:
% 0.73/1.14 0 ==> 1
% 0.73/1.14 1 ==> 0
% 0.73/1.14 end
% 0.73/1.14
% 0.73/1.14 subsumption: (88) {G0,W2,D2,L1,V0,M1} I { one_sorted_str( skol6 ) }.
% 0.73/1.14 parent0: (741) {G0,W2,D2,L1,V0,M1} { one_sorted_str( skol6 ) }.
% 0.73/1.14 substitution0:
% 0.73/1.14 end
% 0.73/1.14 permutation0:
% 0.73/1.14 0 ==> 0
% 0.73/1.14 end
% 0.73/1.14
% 0.73/1.14 eqswap: (755) {G0,W5,D3,L1,V0,M1} { ! the_carrier( skol6 ) =
% 0.73/1.14 cast_as_carrier_subset( skol6 ) }.
% 0.73/1.14 parent0[0]: (742) {G0,W5,D3,L1,V0,M1} { ! cast_as_carrier_subset( skol6 )
% 0.73/1.14 = the_carrier( skol6 ) }.
% 0.73/1.14 substitution0:
% 0.73/1.14 end
% 0.73/1.14
% 0.73/1.14 subsumption: (89) {G0,W5,D3,L1,V0,M1} I { ! the_carrier( skol6 ) ==>
% 0.73/1.14 cast_as_carrier_subset( skol6 ) }.
% 0.73/1.14 parent0: (755) {G0,W5,D3,L1,V0,M1} { ! the_carrier( skol6 ) =
% 0.73/1.14 cast_as_carrier_subset( skol6 ) }.
% 0.73/1.14 substitution0:
% 0.73/1.14 end
% 0.73/1.14 permutation0:
% 0.73/1.14 0 ==> 0
% 0.73/1.14 end
% 0.73/1.14
% 0.73/1.14 eqswap: (756) {G0,W7,D3,L2,V1,M2} { cast_as_carrier_subset( X ) ==>
% 0.73/1.14 the_carrier( X ), ! one_sorted_str( X ) }.
% 0.73/1.14 parent0[1]: (87) {G0,W7,D3,L2,V1,M2} I { ! one_sorted_str( X ), the_carrier
% 0.73/1.14 ( X ) ==> cast_as_carrier_subset( X ) }.
% 0.73/1.14 substitution0:
% 0.73/1.14 X := X
% 0.73/1.14 end
% 0.73/1.14
% 0.73/1.14 eqswap: (757) {G0,W5,D3,L1,V0,M1} { ! cast_as_carrier_subset( skol6 ) ==>
% 0.73/1.14 the_carrier( skol6 ) }.
% 0.73/1.14 parent0[0]: (89) {G0,W5,D3,L1,V0,M1} I { ! the_carrier( skol6 ) ==>
% 0.73/1.14 cast_as_carrier_subset( skol6 ) }.
% 0.73/1.14 substitution0:
% 0.73/1.14 end
% 0.73/1.14
% 0.73/1.14 resolution: (758) {G1,W2,D2,L1,V0,M1} { ! one_sorted_str( skol6 ) }.
% 0.73/1.14 parent0[0]: (757) {G0,W5,D3,L1,V0,M1} { ! cast_as_carrier_subset( skol6 )
% 0.73/1.14 ==> the_carrier( skol6 ) }.
% 0.73/1.14 parent1[0]: (756) {G0,W7,D3,L2,V1,M2} { cast_as_carrier_subset( X ) ==>
% 0.73/1.14 the_carrier( X ), ! one_sorted_str( X ) }.
% 0.73/1.14 substitution0:
% 0.73/1.14 end
% 0.73/1.14 substitution1:
% 0.73/1.14 X := skol6
% 0.73/1.14 end
% 0.73/1.14
% 0.73/1.14 resolution: (759) {G1,W0,D0,L0,V0,M0} { }.
% 0.73/1.14 parent0[0]: (758) {G1,W2,D2,L1,V0,M1} { ! one_sorted_str( skol6 ) }.
% 0.73/1.14 parent1[0]: (88) {G0,W2,D2,L1,V0,M1} I { one_sorted_str( skol6 ) }.
% 0.73/1.14 substitution0:
% 0.73/1.14 end
% 0.73/1.14 substitution1:
% 0.73/1.14 end
% 0.73/1.14
% 0.73/1.14 subsumption: (647) {G1,W0,D0,L0,V0,M0} R(87,89);r(88) { }.
% 0.73/1.14 parent0: (759) {G1,W0,D0,L0,V0,M0} { }.
% 0.73/1.14 substitution0:
% 0.73/1.14 end
% 0.73/1.14 permutation0:
% 0.73/1.14 end
% 0.73/1.14
% 0.73/1.14 Proof check complete!
% 0.73/1.14
% 0.73/1.14 Memory use:
% 0.73/1.14
% 0.73/1.14 space for terms: 6468
% 0.73/1.14 space for clauses: 28443
% 0.73/1.14
% 0.73/1.14
% 0.73/1.14 clauses generated: 1843
% 0.73/1.14 clauses kept: 648
% 0.73/1.14 clauses selected: 217
% 0.73/1.14 clauses deleted: 14
% 0.73/1.14 clauses inuse deleted: 0
% 0.73/1.14
% 0.73/1.14 subsentry: 1746
% 0.73/1.14 literals s-matched: 1646
% 0.73/1.14 literals matched: 1646
% 0.73/1.14 full subsumption: 167
% 0.73/1.14
% 0.73/1.14 checksum: -477793805
% 0.73/1.14
% 0.73/1.14
% 0.73/1.14 Bliksem ended
%------------------------------------------------------------------------------