TSTP Solution File: SEU223+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SEU223+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n032.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 07:11:37 EDT 2022
% Result : Theorem 0.52s 0.92s
% Output : Refutation 0.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : SEU223+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.10 % Command : bliksem %s
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % DateTime : Sun Jun 19 09:41:32 EDT 2022
% 0.10/0.29 % CPUTime :
% 0.52/0.92 *** allocated 10000 integers for termspace/termends
% 0.52/0.92 *** allocated 10000 integers for clauses
% 0.52/0.92 *** allocated 10000 integers for justifications
% 0.52/0.92 Bliksem 1.12
% 0.52/0.92
% 0.52/0.92
% 0.52/0.92 Automatic Strategy Selection
% 0.52/0.92
% 0.52/0.92
% 0.52/0.92 Clauses:
% 0.52/0.92
% 0.52/0.92 { relation( skol1 ) }.
% 0.52/0.92 { relation_empty_yielding( skol1 ) }.
% 0.52/0.92 { ! relation( X ), ! relation_empty_yielding( X ), relation(
% 0.52/0.92 relation_dom_restriction( X, Y ) ) }.
% 0.52/0.92 { ! relation( X ), ! relation_empty_yielding( X ), relation_empty_yielding
% 0.52/0.92 ( relation_dom_restriction( X, Y ) ) }.
% 0.52/0.92 { && }.
% 0.52/0.92 { relation( skol2 ) }.
% 0.52/0.92 { function( skol2 ) }.
% 0.52/0.92 { one_to_one( skol2 ) }.
% 0.52/0.92 { empty( empty_set ) }.
% 0.52/0.92 { relation( empty_set ) }.
% 0.52/0.92 { empty( empty_set ) }.
% 0.52/0.92 { relation( empty_set ) }.
% 0.52/0.92 { relation_empty_yielding( empty_set ) }.
% 0.52/0.92 { empty( empty_set ) }.
% 0.52/0.92 { set_intersection2( X, empty_set ) = empty_set }.
% 0.52/0.92 { element( skol3( X ), X ) }.
% 0.52/0.92 { && }.
% 0.52/0.92 { ! empty( X ), function( X ) }.
% 0.52/0.92 { relation( skol4 ) }.
% 0.52/0.92 { empty( skol4 ) }.
% 0.52/0.92 { function( skol4 ) }.
% 0.52/0.92 { ! relation( X ), ! empty( X ), ! function( X ), relation( X ) }.
% 0.52/0.92 { ! relation( X ), ! empty( X ), ! function( X ), function( X ) }.
% 0.52/0.92 { ! relation( X ), ! empty( X ), ! function( X ), one_to_one( X ) }.
% 0.52/0.92 { empty( skol5 ) }.
% 0.52/0.92 { relation( skol5 ) }.
% 0.52/0.92 { ! empty( X ), relation( X ) }.
% 0.52/0.92 { ! empty( skol6 ) }.
% 0.52/0.92 { relation( skol6 ) }.
% 0.52/0.92 { empty( X ), ! relation( X ), ! empty( relation_dom( X ) ) }.
% 0.52/0.92 { ! empty( X ), empty( relation_dom( X ) ) }.
% 0.52/0.92 { ! empty( X ), relation( relation_dom( X ) ) }.
% 0.52/0.92 { empty( skol7 ) }.
% 0.52/0.92 { ! empty( skol8 ) }.
% 0.52/0.92 { ! element( X, Y ), empty( Y ), in( X, Y ) }.
% 0.52/0.92 { ! empty( X ), X = empty_set }.
% 0.52/0.92 { ! empty( X ), X = Y, ! empty( Y ) }.
% 0.52/0.92 { set_intersection2( X, Y ) = set_intersection2( Y, X ) }.
% 0.52/0.92 { set_intersection2( X, X ) = X }.
% 0.52/0.92 { ! in( X, Y ), ! in( Y, X ) }.
% 0.52/0.92 { && }.
% 0.52/0.92 { && }.
% 0.52/0.92 { && }.
% 0.52/0.92 { ! relation( X ), relation( relation_dom_restriction( X, Y ) ) }.
% 0.52/0.92 { relation( skol9 ) }.
% 0.52/0.92 { function( skol9 ) }.
% 0.52/0.92 { ! relation( X ), ! function( X ), relation( relation_dom_restriction( X,
% 0.52/0.92 Y ) ) }.
% 0.52/0.92 { ! relation( X ), ! function( X ), function( relation_dom_restriction( X,
% 0.52/0.92 Y ) ) }.
% 0.52/0.92 { ! relation( X ), ! relation( Y ), relation( set_intersection2( X, Y ) ) }
% 0.52/0.92 .
% 0.52/0.92 { ! in( X, Y ), element( X, Y ) }.
% 0.52/0.92 { ! in( X, Y ), ! empty( Y ) }.
% 0.52/0.92 { relation( skol10 ) }.
% 0.52/0.92 { function( skol10 ) }.
% 0.52/0.92 { in( skol13, relation_dom( relation_dom_restriction( skol10, skol12 ) ) )
% 0.52/0.92 }.
% 0.52/0.92 { ! apply( relation_dom_restriction( skol10, skol12 ), skol13 ) = apply(
% 0.52/0.92 skol10, skol13 ) }.
% 0.52/0.92 { ! relation( X ), ! function( X ), ! relation( Y ), ! function( Y ), ! X =
% 0.52/0.92 relation_dom_restriction( Y, Z ), relation_dom( X ) = set_intersection2
% 0.52/0.92 ( relation_dom( Y ), Z ) }.
% 0.52/0.92 { ! relation( X ), ! function( X ), ! relation( Y ), ! function( Y ), ! X =
% 0.52/0.92 relation_dom_restriction( Y, Z ), alpha1( X, Y ) }.
% 0.52/0.92 { ! relation( X ), ! function( X ), ! relation( Y ), ! function( Y ), !
% 0.52/0.92 relation_dom( X ) = set_intersection2( relation_dom( Y ), Z ), ! alpha1(
% 0.52/0.92 X, Y ), X = relation_dom_restriction( Y, Z ) }.
% 0.52/0.92 { ! alpha1( X, Y ), ! in( Z, relation_dom( X ) ), apply( X, Z ) = apply( Y
% 0.52/0.92 , Z ) }.
% 0.52/0.92 { in( skol11( X, Z ), relation_dom( X ) ), alpha1( X, Y ) }.
% 0.52/0.92 { ! apply( X, skol11( X, Y ) ) = apply( Y, skol11( X, Y ) ), alpha1( X, Y )
% 0.52/0.92 }.
% 0.52/0.92
% 0.52/0.92 percentage equality = 0.134021, percentage horn = 0.960784
% 0.52/0.92 This is a problem with some equality
% 0.52/0.92
% 0.52/0.92
% 0.52/0.92
% 0.52/0.92 Options Used:
% 0.52/0.92
% 0.52/0.92 useres = 1
% 0.52/0.92 useparamod = 1
% 0.52/0.92 useeqrefl = 1
% 0.52/0.92 useeqfact = 1
% 0.52/0.92 usefactor = 1
% 0.52/0.92 usesimpsplitting = 0
% 0.52/0.92 usesimpdemod = 5
% 0.52/0.92 usesimpres = 3
% 0.52/0.92
% 0.52/0.92 resimpinuse = 1000
% 0.52/0.92 resimpclauses = 20000
% 0.52/0.92 substype = eqrewr
% 0.52/0.92 backwardsubs = 1
% 0.52/0.92 selectoldest = 5
% 0.52/0.92
% 0.52/0.92 litorderings [0] = split
% 0.52/0.92 litorderings [1] = extend the termordering, first sorting on arguments
% 0.52/0.92
% 0.52/0.92 termordering = kbo
% 0.52/0.92
% 0.52/0.92 litapriori = 0
% 0.52/0.92 termapriori = 1
% 0.52/0.92 litaposteriori = 0
% 0.52/0.92 termaposteriori = 0
% 0.52/0.92 demodaposteriori = 0
% 0.52/0.92 ordereqreflfact = 0
% 0.52/0.92
% 0.52/0.92 litselect = negord
% 0.52/0.92
% 0.52/0.92 maxweight = 15
% 0.52/0.92 maxdepth = 30000
% 0.52/0.92 maxlength = 115
% 0.52/0.92 maxnrvars = 195
% 0.52/0.92 excuselevel = 1
% 0.52/0.92 increasemaxweight = 1
% 0.52/0.92
% 0.52/0.92 maxselected = 10000000
% 0.52/0.92 maxnrclauses = 10000000
% 0.52/0.92
% 0.52/0.92 showgenerated = 0
% 0.52/0.92 showkept = 0
% 0.52/0.92 showselected = 0
% 0.52/0.92 showdeleted = 0
% 0.52/0.92 showresimp = 1
% 0.52/0.92 showstatus = 2000
% 0.52/0.92
% 0.52/0.92 prologoutput = 0
% 0.52/0.92 nrgoals = 5000000
% 0.52/0.92 totalproof = 1
% 0.52/0.92
% 0.52/0.92 Symbols occurring in the translation:
% 0.52/0.92
% 0.52/0.92 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.52/0.92 . [1, 2] (w:1, o:34, a:1, s:1, b:0),
% 0.52/0.92 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 0.52/0.92 ! [4, 1] (w:0, o:22, a:1, s:1, b:0),
% 0.52/0.92 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.52/0.92 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.52/0.92 relation [36, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.52/0.92 relation_empty_yielding [37, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.52/0.92 relation_dom_restriction [39, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.52/0.92 function [40, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.52/0.92 one_to_one [41, 1] (w:1, o:32, a:1, s:1, b:0),
% 0.52/0.92 empty_set [42, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.52/0.92 empty [43, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.52/0.92 set_intersection2 [44, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.52/0.92 element [45, 2] (w:1, o:60, a:1, s:1, b:0),
% 0.52/0.92 relation_dom [46, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.52/0.92 in [47, 2] (w:1, o:61, a:1, s:1, b:0),
% 0.52/0.92 apply [49, 2] (w:1, o:62, a:1, s:1, b:0),
% 0.52/0.92 alpha1 [51, 2] (w:1, o:63, a:1, s:1, b:1),
% 0.52/0.92 skol1 [52, 0] (w:1, o:11, a:1, s:1, b:1),
% 0.52/0.92 skol2 [53, 0] (w:1, o:15, a:1, s:1, b:1),
% 0.52/0.92 skol3 [54, 1] (w:1, o:33, a:1, s:1, b:1),
% 0.52/0.92 skol4 [55, 0] (w:1, o:16, a:1, s:1, b:1),
% 0.52/0.92 skol5 [56, 0] (w:1, o:17, a:1, s:1, b:1),
% 0.52/0.92 skol6 [57, 0] (w:1, o:18, a:1, s:1, b:1),
% 0.52/0.92 skol7 [58, 0] (w:1, o:19, a:1, s:1, b:1),
% 0.52/0.92 skol8 [59, 0] (w:1, o:20, a:1, s:1, b:1),
% 0.52/0.92 skol9 [60, 0] (w:1, o:21, a:1, s:1, b:1),
% 0.52/0.92 skol10 [61, 0] (w:1, o:12, a:1, s:1, b:1),
% 0.52/0.92 skol11 [62, 2] (w:1, o:64, a:1, s:1, b:1),
% 0.52/0.92 skol12 [63, 0] (w:1, o:13, a:1, s:1, b:1),
% 0.52/0.92 skol13 [64, 0] (w:1, o:14, a:1, s:1, b:1).
% 0.52/0.92
% 0.52/0.92
% 0.52/0.92 Starting Search:
% 0.52/0.92
% 0.52/0.92 *** allocated 15000 integers for clauses
% 0.52/0.92 *** allocated 22500 integers for clauses
% 0.52/0.92 *** allocated 33750 integers for clauses
% 0.52/0.92
% 0.52/0.92 Bliksems!, er is een bewijs:
% 0.52/0.92 % SZS status Theorem
% 0.52/0.92 % SZS output start Refutation
% 0.52/0.92
% 0.52/0.92 (34) {G0,W6,D3,L2,V2,M2} I { ! relation( X ), relation(
% 0.52/0.92 relation_dom_restriction( X, Y ) ) }.
% 0.52/0.92 (37) {G0,W8,D3,L3,V2,M3} I { ! relation( X ), ! function( X ), function(
% 0.52/0.92 relation_dom_restriction( X, Y ) ) }.
% 0.52/0.92 (41) {G0,W2,D2,L1,V0,M1} I { relation( skol10 ) }.
% 0.52/0.92 (42) {G0,W2,D2,L1,V0,M1} I { function( skol10 ) }.
% 0.52/0.92 (43) {G0,W6,D4,L1,V0,M1} I { in( skol13, relation_dom(
% 0.52/0.92 relation_dom_restriction( skol10, skol12 ) ) ) }.
% 0.52/0.92 (44) {G0,W9,D4,L1,V0,M1} I { ! apply( relation_dom_restriction( skol10,
% 0.52/0.92 skol12 ), skol13 ) ==> apply( skol10, skol13 ) }.
% 0.52/0.92 (46) {G0,W16,D3,L6,V3,M6} I { ! relation( X ), ! function( X ), ! relation
% 0.52/0.92 ( Y ), ! function( Y ), ! X = relation_dom_restriction( Y, Z ), alpha1( X
% 0.52/0.92 , Y ) }.
% 0.52/0.92 (48) {G0,W14,D3,L3,V3,M3} I { ! alpha1( X, Y ), ! in( Z, relation_dom( X )
% 0.52/0.92 ), apply( X, Z ) = apply( Y, Z ) }.
% 0.52/0.92 (434) {G1,W12,D3,L2,V1,M2} P(48,44);r(43) { ! apply( X, skol13 ) = apply(
% 0.52/0.92 skol10, skol13 ), ! alpha1( relation_dom_restriction( skol10, skol12 ), X
% 0.52/0.92 ) }.
% 0.52/0.92 (441) {G2,W5,D3,L1,V0,M1} Q(434) { ! alpha1( relation_dom_restriction(
% 0.52/0.92 skol10, skol12 ), skol10 ) }.
% 0.52/0.92 (442) {G3,W15,D3,L4,V1,M4} R(441,46);r(34) { ! function(
% 0.52/0.92 relation_dom_restriction( skol10, skol12 ) ), ! relation( skol10 ), !
% 0.52/0.92 function( skol10 ), ! relation_dom_restriction( skol10, skol12 ) =
% 0.52/0.92 relation_dom_restriction( skol10, X ) }.
% 0.52/0.92 (443) {G4,W4,D2,L2,V0,M2} Q(442);r(37) { ! relation( skol10 ), ! function(
% 0.52/0.92 skol10 ) }.
% 0.52/0.92 (444) {G5,W0,D0,L0,V0,M0} S(443);r(41);r(42) { }.
% 0.52/0.92
% 0.52/0.92
% 0.52/0.92 % SZS output end Refutation
% 0.52/0.92 found a proof!
% 0.52/0.92
% 0.52/0.92
% 0.52/0.92 Unprocessed initial clauses:
% 0.52/0.92
% 0.52/0.92 (446) {G0,W2,D2,L1,V0,M1} { relation( skol1 ) }.
% 0.52/0.92 (447) {G0,W2,D2,L1,V0,M1} { relation_empty_yielding( skol1 ) }.
% 0.52/0.92 (448) {G0,W8,D3,L3,V2,M3} { ! relation( X ), ! relation_empty_yielding( X
% 0.52/0.92 ), relation( relation_dom_restriction( X, Y ) ) }.
% 0.52/0.92 (449) {G0,W8,D3,L3,V2,M3} { ! relation( X ), ! relation_empty_yielding( X
% 0.52/0.92 ), relation_empty_yielding( relation_dom_restriction( X, Y ) ) }.
% 0.52/0.92 (450) {G0,W1,D1,L1,V0,M1} { && }.
% 0.52/0.92 (451) {G0,W2,D2,L1,V0,M1} { relation( skol2 ) }.
% 0.52/0.92 (452) {G0,W2,D2,L1,V0,M1} { function( skol2 ) }.
% 0.52/0.92 (453) {G0,W2,D2,L1,V0,M1} { one_to_one( skol2 ) }.
% 0.52/0.92 (454) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 0.52/0.92 (455) {G0,W2,D2,L1,V0,M1} { relation( empty_set ) }.
% 0.52/0.92 (456) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 0.52/0.92 (457) {G0,W2,D2,L1,V0,M1} { relation( empty_set ) }.
% 0.52/0.92 (458) {G0,W2,D2,L1,V0,M1} { relation_empty_yielding( empty_set ) }.
% 0.52/0.92 (459) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 0.52/0.92 (460) {G0,W5,D3,L1,V1,M1} { set_intersection2( X, empty_set ) = empty_set
% 0.52/0.92 }.
% 0.52/0.92 (461) {G0,W4,D3,L1,V1,M1} { element( skol3( X ), X ) }.
% 0.52/0.92 (462) {G0,W1,D1,L1,V0,M1} { && }.
% 0.52/0.92 (463) {G0,W4,D2,L2,V1,M2} { ! empty( X ), function( X ) }.
% 0.52/0.92 (464) {G0,W2,D2,L1,V0,M1} { relation( skol4 ) }.
% 0.52/0.92 (465) {G0,W2,D2,L1,V0,M1} { empty( skol4 ) }.
% 0.52/0.92 (466) {G0,W2,D2,L1,V0,M1} { function( skol4 ) }.
% 0.52/0.92 (467) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function( X )
% 0.52/0.92 , relation( X ) }.
% 0.52/0.92 (468) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function( X )
% 0.52/0.92 , function( X ) }.
% 0.52/0.92 (469) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function( X )
% 0.52/0.92 , one_to_one( X ) }.
% 0.52/0.92 (470) {G0,W2,D2,L1,V0,M1} { empty( skol5 ) }.
% 0.52/0.92 (471) {G0,W2,D2,L1,V0,M1} { relation( skol5 ) }.
% 0.52/0.92 (472) {G0,W4,D2,L2,V1,M2} { ! empty( X ), relation( X ) }.
% 0.52/0.92 (473) {G0,W2,D2,L1,V0,M1} { ! empty( skol6 ) }.
% 0.52/0.92 (474) {G0,W2,D2,L1,V0,M1} { relation( skol6 ) }.
% 0.52/0.92 (475) {G0,W7,D3,L3,V1,M3} { empty( X ), ! relation( X ), ! empty(
% 0.52/0.92 relation_dom( X ) ) }.
% 0.52/0.92 (476) {G0,W5,D3,L2,V1,M2} { ! empty( X ), empty( relation_dom( X ) ) }.
% 0.52/0.92 (477) {G0,W5,D3,L2,V1,M2} { ! empty( X ), relation( relation_dom( X ) )
% 0.52/0.92 }.
% 0.52/0.92 (478) {G0,W2,D2,L1,V0,M1} { empty( skol7 ) }.
% 0.52/0.92 (479) {G0,W2,D2,L1,V0,M1} { ! empty( skol8 ) }.
% 0.52/0.92 (480) {G0,W8,D2,L3,V2,M3} { ! element( X, Y ), empty( Y ), in( X, Y ) }.
% 0.52/0.92 (481) {G0,W5,D2,L2,V1,M2} { ! empty( X ), X = empty_set }.
% 0.52/0.92 (482) {G0,W7,D2,L3,V2,M3} { ! empty( X ), X = Y, ! empty( Y ) }.
% 0.52/0.92 (483) {G0,W7,D3,L1,V2,M1} { set_intersection2( X, Y ) = set_intersection2
% 0.52/0.92 ( Y, X ) }.
% 0.52/0.92 (484) {G0,W5,D3,L1,V1,M1} { set_intersection2( X, X ) = X }.
% 0.52/0.92 (485) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), ! in( Y, X ) }.
% 0.52/0.92 (486) {G0,W1,D1,L1,V0,M1} { && }.
% 0.52/0.92 (487) {G0,W1,D1,L1,V0,M1} { && }.
% 0.52/0.92 (488) {G0,W1,D1,L1,V0,M1} { && }.
% 0.52/0.92 (489) {G0,W6,D3,L2,V2,M2} { ! relation( X ), relation(
% 0.52/0.92 relation_dom_restriction( X, Y ) ) }.
% 0.52/0.92 (490) {G0,W2,D2,L1,V0,M1} { relation( skol9 ) }.
% 0.52/0.92 (491) {G0,W2,D2,L1,V0,M1} { function( skol9 ) }.
% 0.52/0.92 (492) {G0,W8,D3,L3,V2,M3} { ! relation( X ), ! function( X ), relation(
% 0.52/0.92 relation_dom_restriction( X, Y ) ) }.
% 0.52/0.92 (493) {G0,W8,D3,L3,V2,M3} { ! relation( X ), ! function( X ), function(
% 0.52/0.92 relation_dom_restriction( X, Y ) ) }.
% 0.52/0.92 (494) {G0,W8,D3,L3,V2,M3} { ! relation( X ), ! relation( Y ), relation(
% 0.52/0.92 set_intersection2( X, Y ) ) }.
% 0.52/0.92 (495) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), element( X, Y ) }.
% 0.52/0.92 (496) {G0,W5,D2,L2,V2,M2} { ! in( X, Y ), ! empty( Y ) }.
% 0.52/0.92 (497) {G0,W2,D2,L1,V0,M1} { relation( skol10 ) }.
% 0.52/0.92 (498) {G0,W2,D2,L1,V0,M1} { function( skol10 ) }.
% 0.52/0.92 (499) {G0,W6,D4,L1,V0,M1} { in( skol13, relation_dom(
% 0.52/0.92 relation_dom_restriction( skol10, skol12 ) ) ) }.
% 0.52/0.92 (500) {G0,W9,D4,L1,V0,M1} { ! apply( relation_dom_restriction( skol10,
% 0.52/0.92 skol12 ), skol13 ) = apply( skol10, skol13 ) }.
% 0.52/0.92 (501) {G0,W20,D4,L6,V3,M6} { ! relation( X ), ! function( X ), ! relation
% 0.52/0.92 ( Y ), ! function( Y ), ! X = relation_dom_restriction( Y, Z ),
% 0.52/0.92 relation_dom( X ) = set_intersection2( relation_dom( Y ), Z ) }.
% 0.52/0.92 (502) {G0,W16,D3,L6,V3,M6} { ! relation( X ), ! function( X ), ! relation
% 0.52/0.92 ( Y ), ! function( Y ), ! X = relation_dom_restriction( Y, Z ), alpha1( X
% 0.52/0.92 , Y ) }.
% 0.52/0.92 (503) {G0,W23,D4,L7,V3,M7} { ! relation( X ), ! function( X ), ! relation
% 0.52/0.92 ( Y ), ! function( Y ), ! relation_dom( X ) = set_intersection2(
% 0.52/0.92 relation_dom( Y ), Z ), ! alpha1( X, Y ), X = relation_dom_restriction( Y
% 0.52/0.92 , Z ) }.
% 0.52/0.92 (504) {G0,W14,D3,L3,V3,M3} { ! alpha1( X, Y ), ! in( Z, relation_dom( X )
% 0.52/0.92 ), apply( X, Z ) = apply( Y, Z ) }.
% 0.52/0.92 (505) {G0,W9,D3,L2,V3,M2} { in( skol11( X, Z ), relation_dom( X ) ),
% 0.52/0.92 alpha1( X, Y ) }.
% 0.52/0.92 (506) {G0,W14,D4,L2,V2,M2} { ! apply( X, skol11( X, Y ) ) = apply( Y,
% 0.52/0.92 skol11( X, Y ) ), alpha1( X, Y ) }.
% 0.52/0.92
% 0.52/0.92
% 0.52/0.92 Total Proof:
% 0.52/0.92
% 0.52/0.92 subsumption: (34) {G0,W6,D3,L2,V2,M2} I { ! relatioCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------