TSTP Solution File: KRS110+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : KRS110+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 : Sun Jul 17 02:42:17 EDT 2022
% Result : Unsatisfiable 0.43s 1.08s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS110+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Tue Jun 7 06:48:06 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.43/1.08 *** allocated 10000 integers for termspace/termends
% 0.43/1.08 *** allocated 10000 integers for clauses
% 0.43/1.08 *** allocated 10000 integers for justifications
% 0.43/1.08 Bliksem 1.12
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 Automatic Strategy Selection
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 Clauses:
% 0.43/1.08
% 0.43/1.08 { ! Y = X, ! cUnsatisfiable( Y ), cUnsatisfiable( X ) }.
% 0.43/1.08 { ! Y = X, ! ca_Ax2( Y ), ca_Ax2( X ) }.
% 0.43/1.08 { ! Y = X, ! cowlNothing( Y ), cowlNothing( X ) }.
% 0.43/1.08 { ! Y = X, ! cowlThing( Y ), cowlThing( X ) }.
% 0.43/1.08 { ! Y = X, ! cp( Y ), cp( X ) }.
% 0.43/1.08 { ! Y = X, ! cpxcomp( Y ), cpxcomp( X ) }.
% 0.43/1.08 { ! Z = X, ! ra_Px1( Z, Y ), ra_Px1( X, Y ) }.
% 0.43/1.08 { ! Z = X, ! ra_Px1( Y, Z ), ra_Px1( Y, X ) }.
% 0.43/1.08 { ! Z = X, ! rf( Z, Y ), rf( X, Y ) }.
% 0.43/1.08 { ! Z = X, ! rf( Y, Z ), rf( Y, X ) }.
% 0.43/1.08 { ! Z = X, ! rf1( Z, Y ), rf1( X, Y ) }.
% 0.43/1.08 { ! Z = X, ! rf1( Y, Z ), rf1( Y, X ) }.
% 0.43/1.08 { ! Z = X, ! rinvF( Z, Y ), rinvF( X, Y ) }.
% 0.43/1.08 { ! Z = X, ! rinvF( Y, Z ), rinvF( Y, X ) }.
% 0.43/1.08 { ! Z = X, ! rinvF1( Z, Y ), rinvF1( X, Y ) }.
% 0.43/1.08 { ! Z = X, ! rinvF1( Y, Z ), rinvF1( Y, X ) }.
% 0.43/1.08 { ! Z = X, ! rinvS( Z, Y ), rinvS( X, Y ) }.
% 0.43/1.08 { ! Z = X, ! rinvS( Y, Z ), rinvS( Y, X ) }.
% 0.43/1.08 { ! Z = X, ! rs( Z, Y ), rs( X, Y ) }.
% 0.43/1.08 { ! Z = X, ! rs( Y, Z ), rs( Y, X ) }.
% 0.43/1.08 { ! Y = X, ! xsd_integer( Y ), xsd_integer( X ) }.
% 0.43/1.08 { ! Y = X, ! xsd_string( Y ), xsd_string( X ) }.
% 0.43/1.08 { cowlThing( X ) }.
% 0.43/1.08 { ! cowlNothing( X ) }.
% 0.43/1.08 { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.43/1.08 { xsd_integer( X ), xsd_string( X ) }.
% 0.43/1.08 { ! cUnsatisfiable( X ), alpha1( X ) }.
% 0.43/1.08 { ! cUnsatisfiable( X ), alpha3( X ) }.
% 0.43/1.08 { ! alpha1( X ), ! alpha3( X ), cUnsatisfiable( X ) }.
% 0.43/1.08 { ! alpha3( X ), ! rs( X, Y ), cpxcomp( Y ) }.
% 0.43/1.08 { ! cpxcomp( skol1( Y ) ), alpha3( X ) }.
% 0.43/1.08 { rs( X, skol1( X ) ), alpha3( X ) }.
% 0.43/1.08 { ! alpha1( X ), ca_Ax2( skol2( Y ) ) }.
% 0.43/1.08 { ! alpha1( X ), rs( X, skol2( X ) ) }.
% 0.43/1.08 { ! rs( X, Y ), ! ca_Ax2( Y ), alpha1( X ) }.
% 0.43/1.08 { ! cp( X ), ! ra_Px1( X, Y ) }.
% 0.43/1.08 { ra_Px1( X, skol3( X ) ), cp( X ) }.
% 0.43/1.08 { ! cpxcomp( X ), ra_Px1( X, skol4( X ) ) }.
% 0.43/1.08 { ! ra_Px1( X, Y ), cpxcomp( X ) }.
% 0.43/1.08 { ! ca_Ax2( X ), cp( X ) }.
% 0.43/1.08 { ! ca_Ax2( X ), alpha2( X ) }.
% 0.43/1.08 { ! cp( X ), ! alpha2( X ), ca_Ax2( X ) }.
% 0.43/1.08 { ! alpha2( X ), cp( skol5( Y ) ) }.
% 0.43/1.08 { ! alpha2( X ), rinvS( X, skol5( X ) ) }.
% 0.43/1.08 { ! rinvS( X, Y ), ! cp( Y ), alpha2( X ) }.
% 0.43/1.08 { ! rf( Z, X ), ! rf( Z, Y ), X = Y }.
% 0.43/1.08 { ! rf1( Z, X ), ! rf1( Z, Y ), X = Y }.
% 0.43/1.08 { ! rinvF( X, Y ), rf( Y, X ) }.
% 0.43/1.08 { ! rf( Y, X ), rinvF( X, Y ) }.
% 0.43/1.08 { ! rinvF1( X, Y ), rf1( Y, X ) }.
% 0.43/1.08 { ! rf1( Y, X ), rinvF1( X, Y ) }.
% 0.43/1.08 { ! rinvS( X, Y ), rs( Y, X ) }.
% 0.43/1.08 { ! rs( Y, X ), rinvS( X, Y ) }.
% 0.43/1.08 { ! rs( Z, X ), ! rs( Z, Y ), X = Y }.
% 0.43/1.08 { cUnsatisfiable( i2003_11_14_17_21_12565 ) }.
% 0.43/1.08 { ! rs( X, Y ), rf( X, Y ) }.
% 0.43/1.08 { ! rs( X, Y ), rf1( X, Y ) }.
% 0.43/1.08
% 0.43/1.08 percentage equality = 0.177305, percentage horn = 0.947368
% 0.43/1.08 This is a problem with some equality
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 Options Used:
% 0.43/1.08
% 0.43/1.08 useres = 1
% 0.43/1.08 useparamod = 1
% 0.43/1.08 useeqrefl = 1
% 0.43/1.08 useeqfact = 1
% 0.43/1.08 usefactor = 1
% 0.43/1.08 usesimpsplitting = 0
% 0.43/1.08 usesimpdemod = 5
% 0.43/1.08 usesimpres = 3
% 0.43/1.08
% 0.43/1.08 resimpinuse = 1000
% 0.43/1.08 resimpclauses = 20000
% 0.43/1.08 substype = eqrewr
% 0.43/1.08 backwardsubs = 1
% 0.43/1.08 selectoldest = 5
% 0.43/1.08
% 0.43/1.08 litorderings [0] = split
% 0.43/1.08 litorderings [1] = extend the termordering, first sorting on arguments
% 0.43/1.08
% 0.43/1.08 termordering = kbo
% 0.43/1.08
% 0.43/1.08 litapriori = 0
% 0.43/1.08 termapriori = 1
% 0.43/1.08 litaposteriori = 0
% 0.43/1.08 termaposteriori = 0
% 0.43/1.08 demodaposteriori = 0
% 0.43/1.08 ordereqreflfact = 0
% 0.43/1.08
% 0.43/1.08 litselect = negord
% 0.43/1.08
% 0.43/1.08 maxweight = 15
% 0.43/1.08 maxdepth = 30000
% 0.43/1.08 maxlength = 115
% 0.43/1.08 maxnrvars = 195
% 0.43/1.08 excuselevel = 1
% 0.43/1.08 increasemaxweight = 1
% 0.43/1.08
% 0.43/1.08 maxselected = 10000000
% 0.43/1.08 maxnrclauses = 10000000
% 0.43/1.08
% 0.43/1.08 showgenerated = 0
% 0.43/1.08 showkept = 0
% 0.43/1.08 showselected = 0
% 0.43/1.08 showdeleted = 0
% 0.43/1.08 showresimp = 1
% 0.43/1.08 showstatus = 2000
% 0.43/1.08
% 0.43/1.08 prologoutput = 0
% 0.43/1.08 nrgoals = 5000000
% 0.43/1.08 totalproof = 1
% 0.43/1.08
% 0.43/1.08 Symbols occurring in the translation:
% 0.43/1.08
% 0.43/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.43/1.08 . [1, 2] (w:1, o:35, a:1, s:1, b:0),
% 0.43/1.08 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.43/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.08 cUnsatisfiable [37, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.43/1.08 ca_Ax2 [38, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.43/1.08 cowlNothing [39, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.43/1.08 cowlThing [40, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.43/1.08 cp [41, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.43/1.08 cpxcomp [42, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.43/1.08 ra_Px1 [44, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.43/1.08 rf [45, 2] (w:1, o:60, a:1, s:1, b:0),
% 0.43/1.08 rf1 [46, 2] (w:1, o:61, a:1, s:1, b:0),
% 0.43/1.08 rinvF [47, 2] (w:1, o:62, a:1, s:1, b:0),
% 0.43/1.08 rinvF1 [48, 2] (w:1, o:63, a:1, s:1, b:0),
% 0.43/1.08 rinvS [49, 2] (w:1, o:64, a:1, s:1, b:0),
% 0.43/1.08 rs [50, 2] (w:1, o:65, a:1, s:1, b:0),
% 0.43/1.08 xsd_integer [51, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.43/1.08 xsd_string [52, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.43/1.08 i2003_11_14_17_21_12565 [57, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.43/1.08 alpha1 [58, 1] (w:1, o:27, a:1, s:1, b:1),
% 0.43/1.08 alpha2 [59, 1] (w:1, o:28, a:1, s:1, b:1),
% 0.43/1.08 alpha3 [60, 1] (w:1, o:29, a:1, s:1, b:1),
% 0.43/1.08 skol1 [61, 1] (w:1, o:30, a:1, s:1, b:1),
% 0.43/1.08 skol2 [62, 1] (w:1, o:31, a:1, s:1, b:1),
% 0.43/1.08 skol3 [63, 1] (w:1, o:32, a:1, s:1, b:1),
% 0.43/1.08 skol4 [64, 1] (w:1, o:33, a:1, s:1, b:1),
% 0.43/1.08 skol5 [65, 1] (w:1, o:34, a:1, s:1, b:1).
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 Starting Search:
% 0.43/1.08
% 0.43/1.08 *** allocated 15000 integers for clauses
% 0.43/1.08
% 0.43/1.08 Bliksems!, er is een bewijs:
% 0.43/1.08 % SZS status Unsatisfiable
% 0.43/1.08 % SZS output start Refutation
% 0.43/1.08
% 0.43/1.08 (26) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X ) }.
% 0.43/1.08 (27) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha3( X ) }.
% 0.43/1.08 (29) {G0,W7,D2,L3,V2,M3} I { ! alpha3( X ), ! rs( X, Y ), cpxcomp( Y ) }.
% 0.43/1.08 (32) {G0,W5,D3,L2,V2,M2} I { ! alpha1( X ), ca_Ax2( skol2( Y ) ) }.
% 0.43/1.08 (33) {G0,W6,D3,L2,V1,M2} I { ! alpha1( X ), rs( X, skol2( X ) ) }.
% 0.43/1.08 (35) {G0,W5,D2,L2,V2,M2} I { ! cp( X ), ! ra_Px1( X, Y ) }.
% 0.43/1.08 (37) {G0,W6,D3,L2,V1,M2} I { ! cpxcomp( X ), ra_Px1( X, skol4( X ) ) }.
% 0.43/1.08 (39) {G0,W4,D2,L2,V1,M2} I { ! ca_Ax2( X ), cp( X ) }.
% 0.43/1.08 (54) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( i2003_11_14_17_21_12565 ) }.
% 0.43/1.08 (60) {G1,W2,D2,L1,V0,M1} R(27,54) { alpha3( i2003_11_14_17_21_12565 ) }.
% 0.43/1.08 (62) {G1,W2,D2,L1,V0,M1} R(26,54) { alpha1( i2003_11_14_17_21_12565 ) }.
% 0.43/1.08 (66) {G1,W5,D2,L2,V2,M2} R(35,39) { ! ra_Px1( X, Y ), ! ca_Ax2( X ) }.
% 0.43/1.08 (78) {G2,W3,D3,L1,V1,M1} R(32,62) { ca_Ax2( skol2( X ) ) }.
% 0.43/1.08 (82) {G3,W4,D3,L1,V2,M1} R(78,66) { ! ra_Px1( skol2( X ), Y ) }.
% 0.43/1.08 (209) {G4,W3,D3,L1,V1,M1} R(37,82) { ! cpxcomp( skol2( X ) ) }.
% 0.43/1.08 (272) {G2,W4,D3,L1,V0,M1} R(33,62) { rs( i2003_11_14_17_21_12565, skol2(
% 0.43/1.08 i2003_11_14_17_21_12565 ) ) }.
% 0.43/1.08 (315) {G3,W3,D3,L1,V0,M1} R(29,272);r(60) { cpxcomp( skol2(
% 0.43/1.08 i2003_11_14_17_21_12565 ) ) }.
% 0.43/1.08 (337) {G5,W0,D0,L0,V0,M0} S(315);r(209) { }.
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 % SZS output end Refutation
% 0.43/1.08 found a proof!
% 0.43/1.08
% 0.43/1.08 *** allocated 22500 integers for clauses
% 0.43/1.08
% 0.43/1.08 Unprocessed initial clauses:
% 0.43/1.08
% 0.43/1.08 (339) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cUnsatisfiable( Y ), cUnsatisfiable
% 0.43/1.08 ( X ) }.
% 0.43/1.08 (340) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! ca_Ax2( Y ), ca_Ax2( X ) }.
% 0.43/1.08 (341) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cowlNothing( Y ), cowlNothing( X )
% 0.43/1.08 }.
% 0.43/1.08 (342) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cowlThing( Y ), cowlThing( X ) }.
% 0.43/1.08 (343) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cp( Y ), cp( X ) }.
% 0.43/1.08 (344) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cpxcomp( Y ), cpxcomp( X ) }.
% 0.43/1.08 (345) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! ra_Px1( Z, Y ), ra_Px1( X, Y ) }.
% 0.43/1.08 (346) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! ra_Px1( Y, Z ), ra_Px1( Y, X ) }.
% 0.43/1.08 (347) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rf( Z, Y ), rf( X, Y ) }.
% 0.43/1.08 (348) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rf( Y, Z ), rf( Y, X ) }.
% 0.43/1.08 (349) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rf1( Z, Y ), rf1( X, Y ) }.
% 0.43/1.08 (350) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rf1( Y, Z ), rf1( Y, X ) }.
% 0.43/1.08 (351) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvF( Z, Y ), rinvF( X, Y ) }.
% 0.43/1.08 (352) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvF( Y, Z ), rinvF( Y, X ) }.
% 0.43/1.08 (353) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvF1( Z, Y ), rinvF1( X, Y ) }.
% 0.43/1.08 (354) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvF1( Y, Z ), rinvF1( Y, X ) }.
% 0.43/1.08 (355) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvS( Z, Y ), rinvS( X, Y ) }.
% 0.43/1.08 (356) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvS( Y, Z ), rinvS( Y, X ) }.
% 0.43/1.08 (357) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rs( Z, Y ), rs( X, Y ) }.
% 0.43/1.08 (358) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rs( Y, Z ), rs( Y, X ) }.
% 0.43/1.08 (359) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! xsd_integer( Y ), xsd_integer( X )
% 0.43/1.08 }.
% 0.43/1.08 (360) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! xsd_string( Y ), xsd_string( X )
% 0.43/1.08 }.
% 0.43/1.08 (361) {G0,W2,D2,L1,V1,M1} { cowlThing( X ) }.
% 0.43/1.08 (362) {G0,W2,D2,L1,V1,M1} { ! cowlNothing( X ) }.
% 0.43/1.08 (363) {G0,W4,D2,L2,V1,M2} { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.43/1.08 (364) {G0,W4,D2,L2,V1,M2} { xsd_integer( X ), xsd_string( X ) }.
% 0.43/1.08 (365) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), alpha1( X ) }.
% 0.43/1.08 (366) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), alpha3( X ) }.
% 0.43/1.08 (367) {G0,W6,D2,L3,V1,M3} { ! alpha1( X ), ! alpha3( X ), cUnsatisfiable(
% 0.43/1.08 X ) }.
% 0.43/1.08 (368) {G0,W7,D2,L3,V2,M3} { ! alpha3( X ), ! rs( X, Y ), cpxcomp( Y ) }.
% 0.43/1.08 (369) {G0,W5,D3,L2,V2,M2} { ! cpxcomp( skol1( Y ) ), alpha3( X ) }.
% 0.43/1.08 (370) {G0,W6,D3,L2,V1,M2} { rs( X, skol1( X ) ), alpha3( X ) }.
% 0.43/1.08 (371) {G0,W5,D3,L2,V2,M2} { ! alpha1( X ), ca_Ax2( skol2( Y ) ) }.
% 0.43/1.08 (372) {G0,W6,D3,L2,V1,M2} { ! alpha1( X ), rs( X, skol2( X ) ) }.
% 0.43/1.08 (373) {G0,W7,D2,L3,V2,M3} { ! rs( X, Y ), ! ca_Ax2( Y ), alpha1( X ) }.
% 0.43/1.08 (374) {G0,W5,D2,L2,V2,M2} { ! cp( X ), ! ra_Px1( X, Y ) }.
% 0.43/1.08 (375) {G0,W6,D3,L2,V1,M2} { ra_Px1( X, skol3( X ) ), cp( X ) }.
% 0.43/1.08 (376) {G0,W6,D3,L2,V1,M2} { ! cpxcomp( X ), ra_Px1( X, skol4( X ) ) }.
% 0.43/1.08 (377) {G0,W5,D2,L2,V2,M2} { ! ra_Px1( X, Y ), cpxcomp( X ) }.
% 0.43/1.08 (378) {G0,W4,D2,L2,V1,M2} { ! ca_Ax2( X ), cp( X ) }.
% 0.43/1.08 (379) {G0,W4,D2,L2,V1,M2} { ! ca_Ax2( X ), alpha2( X ) }.
% 0.43/1.08 (380) {G0,W6,D2,L3,V1,M3} { ! cp( X ), ! alpha2( X ), ca_Ax2( X ) }.
% 0.43/1.08 (381) {G0,W5,D3,L2,V2,M2} { ! alpha2( X ), cp( skol5( Y ) ) }.
% 0.43/1.08 (382) {G0,W6,D3,L2,V1,M2} { ! alpha2( X ), rinvS( X, skol5( X ) ) }.
% 0.43/1.08 (383) {G0,W7,D2,L3,V2,M3} { ! rinvS( X, Y ), ! cp( Y ), alpha2( X ) }.
% 0.43/1.08 (384) {G0,W9,D2,L3,V3,M3} { ! rf( Z, X ), ! rf( Z, Y ), X = Y }.
% 0.43/1.08 (385) {G0,W9,D2,L3,V3,M3} { ! rf1( Z, X ), ! rf1( Z, Y ), X = Y }.
% 0.43/1.08 (386) {G0,W6,D2,L2,V2,M2} { ! rinvF( X, Y ), rf( Y, X ) }.
% 0.43/1.08 (387) {G0,W6,D2,L2,V2,M2} { ! rf( Y, X ), rinvF( X, Y ) }.
% 0.43/1.08 (388) {G0,W6,D2,L2,V2,M2} { ! rinvF1( X, Y ), rf1( Y, X ) }.
% 0.43/1.08 (389) {G0,W6,D2,L2,V2,M2} { ! rf1( Y, X ), rinvF1( X, Y ) }.
% 0.43/1.08 (390) {G0,W6,D2,L2,V2,M2} { ! rinvS( X, Y ), rs( Y, X ) }.
% 0.43/1.08 (391) {G0,W6,D2,L2,V2,M2} { ! rs( Y, X ), rinvS( X, Y ) }.
% 0.43/1.08 (392) {G0,W9,D2,L3,V3,M3} { ! rs( Z, X ), ! rs( Z, Y ), X = Y }.
% 0.43/1.08 (393) {G0,W2,D2,L1,V0,M1} { cUnsatisfiable( i2003_11_14_17_21_12565 ) }.
% 0.43/1.08 (394) {G0,W6,D2,L2,V2,M2} { ! rs( X, Y ), rf( X, Y ) }.
% 0.43/1.08 (395) {G0,W6,D2,L2,V2,M2} { ! rs( X, Y ), rf1( X, Y ) }.
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 Total Proof:
% 0.43/1.08
% 0.43/1.08 subsumption: (26) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X
% 0.43/1.08 ) }.
% 0.43/1.08 parent0: (365) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), alpha1( X )
% 0.43/1.08 }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 0
% 0.43/1.08 1 ==> 1
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (27) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha3( X
% 0.43/1.08 ) }.
% 0.43/1.08 parent0: (366) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), alpha3( X )
% 0.43/1.08 }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 0
% 0.43/1.08 1 ==> 1
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (29) {G0,W7,D2,L3,V2,M3} I { ! alpha3( X ), ! rs( X, Y ),
% 0.43/1.08 cpxcomp( Y ) }.
% 0.43/1.08 parent0: (368) {G0,W7,D2,L3,V2,M3} { ! alpha3( X ), ! rs( X, Y ), cpxcomp
% 0.43/1.08 ( Y ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 Y := Y
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 0
% 0.43/1.08 1 ==> 1
% 0.43/1.08 2 ==> 2
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (32) {G0,W5,D3,L2,V2,M2} I { ! alpha1( X ), ca_Ax2( skol2( Y )
% 0.43/1.08 ) }.
% 0.43/1.08 parent0: (371) {G0,W5,D3,L2,V2,M2} { ! alpha1( X ), ca_Ax2( skol2( Y ) )
% 0.43/1.08 }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 Y := Y
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 0
% 0.43/1.08 1 ==> 1
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (33) {G0,W6,D3,L2,V1,M2} I { ! alpha1( X ), rs( X, skol2( X )
% 0.43/1.08 ) }.
% 0.43/1.08 parent0: (372) {G0,W6,D3,L2,V1,M2} { ! alpha1( X ), rs( X, skol2( X ) )
% 0.43/1.08 }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 0
% 0.43/1.08 1 ==> 1
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (35) {G0,W5,D2,L2,V2,M2} I { ! cp( X ), ! ra_Px1( X, Y ) }.
% 0.43/1.08 parent0: (374) {G0,W5,D2,L2,V2,M2} { ! cp( X ), ! ra_Px1( X, Y ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 Y := Y
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 0
% 0.43/1.08 1 ==> 1
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (37) {G0,W6,D3,L2,V1,M2} I { ! cpxcomp( X ), ra_Px1( X, skol4
% 0.43/1.08 ( X ) ) }.
% 0.43/1.08 parent0: (376) {G0,W6,D3,L2,V1,M2} { ! cpxcomp( X ), ra_Px1( X, skol4( X )
% 0.43/1.08 ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 0
% 0.43/1.08 1 ==> 1
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (39) {G0,W4,D2,L2,V1,M2} I { ! ca_Ax2( X ), cp( X ) }.
% 0.43/1.08 parent0: (378) {G0,W4,D2,L2,V1,M2} { ! ca_Ax2( X ), cp( X ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 0
% 0.43/1.08 1 ==> 1
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (54) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 0.43/1.08 i2003_11_14_17_21_12565 ) }.
% 0.43/1.08 parent0: (393) {G0,W2,D2,L1,V0,M1} { cUnsatisfiable(
% 0.43/1.08 i2003_11_14_17_21_12565 ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 0
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 resolution: (597) {G1,W2,D2,L1,V0,M1} { alpha3( i2003_11_14_17_21_12565 )
% 0.43/1.08 }.
% 0.43/1.08 parent0[0]: (27) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha3( X )
% 0.43/1.08 }.
% 0.43/1.08 parent1[0]: (54) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 0.43/1.08 i2003_11_14_17_21_12565 ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := i2003_11_14_17_21_12565
% 0.43/1.08 end
% 0.43/1.08 substitution1:
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (60) {G1,W2,D2,L1,V0,M1} R(27,54) { alpha3(
% 0.43/1.08 i2003_11_14_17_21_12565 ) }.
% 0.43/1.08 parent0: (597) {G1,W2,D2,L1,V0,M1} { alpha3( i2003_11_14_17_21_12565 ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 0
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 resolution: (598) {G1,W2,D2,L1,V0,M1} { alpha1( i2003_11_14_17_21_12565 )
% 0.43/1.08 }.
% 0.43/1.08 parent0[0]: (26) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X )
% 0.43/1.08 }.
% 0.43/1.08 parent1[0]: (54) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 0.43/1.08 i2003_11_14_17_21_12565 ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := i2003_11_14_17_21_12565
% 0.43/1.08 end
% 0.43/1.08 substitution1:
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (62) {G1,W2,D2,L1,V0,M1} R(26,54) { alpha1(
% 0.43/1.08 i2003_11_14_17_21_12565 ) }.
% 0.43/1.08 parent0: (598) {G1,W2,D2,L1,V0,M1} { alpha1( i2003_11_14_17_21_12565 ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 0
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 resolution: (599) {G1,W5,D2,L2,V2,M2} { ! ra_Px1( X, Y ), ! ca_Ax2( X )
% 0.43/1.08 }.
% 0.43/1.08 parent0[0]: (35) {G0,W5,D2,L2,V2,M2} I { ! cp( X ), ! ra_Px1( X, Y ) }.
% 0.43/1.08 parent1[1]: (39) {G0,W4,D2,L2,V1,M2} I { ! ca_Ax2( X ), cp( X ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 Y := Y
% 0.43/1.08 end
% 0.43/1.08 substitution1:
% 0.43/1.08 X := X
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (66) {G1,W5,D2,L2,V2,M2} R(35,39) { ! ra_Px1( X, Y ), ! ca_Ax2
% 0.43/1.08 ( X ) }.
% 0.43/1.08 parent0: (599) {G1,W5,D2,L2,V2,M2} { ! ra_Px1( X, Y ), ! ca_Ax2( X ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 Y := Y
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 0
% 0.43/1.08 1 ==> 1
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 resolution: (600) {G1,W3,D3,L1,V1,M1} { ca_Ax2( skol2( X ) ) }.
% 0.43/1.08 parent0[0]: (32) {G0,W5,D3,L2,V2,M2} I { ! alpha1( X ), ca_Ax2( skol2( Y )
% 0.43/1.08 ) }.
% 0.43/1.08 parent1[0]: (62) {G1,W2,D2,L1,V0,M1} R(26,54) { alpha1(
% 0.43/1.08 i2003_11_14_17_21_12565 ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := i2003_11_14_17_21_12565
% 0.43/1.08 Y := X
% 0.43/1.08 end
% 0.43/1.08 substitution1:
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (78) {G2,W3,D3,L1,V1,M1} R(32,62) { ca_Ax2( skol2( X ) ) }.
% 0.43/1.08 parent0: (600) {G1,W3,D3,L1,V1,M1} { ca_Ax2( skol2( X ) ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 0
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 resolution: (601) {G2,W4,D3,L1,V2,M1} { ! ra_Px1( skol2( X ), Y ) }.
% 0.43/1.08 parent0[1]: (66) {G1,W5,D2,L2,V2,M2} R(35,39) { ! ra_Px1( X, Y ), ! ca_Ax2
% 0.43/1.08 ( X ) }.
% 0.43/1.08 parent1[0]: (78) {G2,W3,D3,L1,V1,M1} R(32,62) { ca_Ax2( skol2( X ) ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := skol2( X )
% 0.43/1.08 Y := Y
% 0.43/1.08 end
% 0.43/1.08 substitution1:
% 0.43/1.08 X := X
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (82) {G3,W4,D3,L1,V2,M1} R(78,66) { ! ra_Px1( skol2( X ), Y )
% 0.43/1.08 }.
% 0.43/1.08 parent0: (601) {G2,W4,D3,L1,V2,M1} { ! ra_Px1( skol2( X ), Y ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 Y := Y
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 0
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 resolution: (602) {G1,W3,D3,L1,V1,M1} { ! cpxcomp( skol2( X ) ) }.
% 0.43/1.08 parent0[0]: (82) {G3,W4,D3,L1,V2,M1} R(78,66) { ! ra_Px1( skol2( X ), Y )
% 0.43/1.08 }.
% 0.43/1.08 parent1[1]: (37) {G0,W6,D3,L2,V1,M2} I { ! cpxcomp( X ), ra_Px1( X, skol4(
% 0.43/1.08 X ) ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 Y := skol4( skol2( X ) )
% 0.43/1.08 end
% 0.43/1.08 substitution1:
% 0.43/1.08 X := skol2( X )
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (209) {G4,W3,D3,L1,V1,M1} R(37,82) { ! cpxcomp( skol2( X ) )
% 0.43/1.08 }.
% 0.43/1.08 parent0: (602) {G1,W3,D3,L1,V1,M1} { ! cpxcomp( skol2( X ) ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 0
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 resolution: (603) {G1,W4,D3,L1,V0,M1} { rs( i2003_11_14_17_21_12565, skol2
% 0.43/1.08 ( i2003_11_14_17_21_12565 ) ) }.
% 0.43/1.08 parent0[0]: (33) {G0,W6,D3,L2,V1,M2} I { ! alpha1( X ), rs( X, skol2( X ) )
% 0.43/1.08 }.
% 0.43/1.08 parent1[0]: (62) {G1,W2,D2,L1,V0,M1} R(26,54) { alpha1(
% 0.43/1.08 i2003_11_14_17_21_12565 ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := i2003_11_14_17_21_12565
% 0.43/1.08 end
% 0.43/1.08 substitution1:
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (272) {G2,W4,D3,L1,V0,M1} R(33,62) { rs(
% 0.43/1.08 i2003_11_14_17_21_12565, skol2( i2003_11_14_17_21_12565 ) ) }.
% 0.43/1.08 parent0: (603) {G1,W4,D3,L1,V0,M1} { rs( i2003_11_14_17_21_12565, skol2(
% 0.43/1.08 i2003_11_14_17_21_12565 ) ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 0
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 resolution: (604) {G1,W5,D3,L2,V0,M2} { ! alpha3( i2003_11_14_17_21_12565
% 0.43/1.08 ), cpxcomp( skol2( i2003_11_14_17_21_12565 ) ) }.
% 0.43/1.08 parent0[1]: (29) {G0,W7,D2,L3,V2,M3} I { ! alpha3( X ), ! rs( X, Y ),
% 0.43/1.08 cpxcomp( Y ) }.
% 0.43/1.08 parent1[0]: (272) {G2,W4,D3,L1,V0,M1} R(33,62) { rs(
% 0.43/1.08 i2003_11_14_17_21_12565, skol2( i2003_11_14_17_21_12565 ) ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := i2003_11_14_17_21_12565
% 0.43/1.08 Y := skol2( i2003_11_14_17_21_12565 )
% 0.43/1.08 end
% 0.43/1.08 substitution1:
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 resolution: (605) {G2,W3,D3,L1,V0,M1} { cpxcomp( skol2(
% 0.43/1.08 i2003_11_14_17_21_12565 ) ) }.
% 0.43/1.08 parent0[0]: (604) {G1,W5,D3,L2,V0,M2} { ! alpha3( i2003_11_14_17_21_12565
% 0.43/1.08 ), cpxcomp( skol2( i2003_11_14_17_21_12565 ) ) }.
% 0.43/1.08 parent1[0]: (60) {G1,W2,D2,L1,V0,M1} R(27,54) { alpha3(
% 0.43/1.08 i2003_11_14_17_21_12565 ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 end
% 0.43/1.08 substitution1:
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (315) {G3,W3,D3,L1,V0,M1} R(29,272);r(60) { cpxcomp( skol2(
% 0.43/1.08 i2003_11_14_17_21_12565 ) ) }.
% 0.43/1.08 parent0: (605) {G2,W3,D3,L1,V0,M1} { cpxcomp( skol2(
% 0.43/1.08 i2003_11_14_17_21_12565 ) ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 0
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 resolution: (606) {G4,W0,D0,L0,V0,M0} { }.
% 0.43/1.08 parent0[0]: (209) {G4,W3,D3,L1,V1,M1} R(37,82) { ! cpxcomp( skol2( X ) )
% 0.43/1.08 }.
% 0.43/1.08 parent1[0]: (315) {G3,W3,D3,L1,V0,M1} R(29,272);r(60) { cpxcomp( skol2(
% 0.43/1.08 i2003_11_14_17_21_12565 ) ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := i2003_11_14_17_21_12565
% 0.43/1.08 end
% 0.43/1.08 substitution1:
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (337) {G5,W0,D0,L0,V0,M0} S(315);r(209) { }.
% 0.43/1.08 parent0: (606) {G4,W0,D0,L0,V0,M0} { }.
% 0.43/1.08 substitution0:
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 Proof check complete!
% 0.43/1.08
% 0.43/1.08 Memory use:
% 0.43/1.08
% 0.43/1.08 space for terms: 4300
% 0.43/1.08 space for clauses: 14510
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 clauses generated: 885
% 0.43/1.08 clauses kept: 338
% 0.43/1.08 clauses selected: 107
% 0.43/1.08 clauses deleted: 10
% 0.43/1.08 clauses inuse deleted: 0
% 0.43/1.08
% 0.43/1.08 subsentry: 2321
% 0.43/1.08 literals s-matched: 2263
% 0.43/1.08 literals matched: 2263
% 0.43/1.08 full subsumption: 551
% 0.43/1.08
% 0.43/1.08 checksum: 1523067064
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 Bliksem ended
%------------------------------------------------------------------------------