%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : KRS075+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : Sun Jul 17 02:42:09 EDT 2022
% Result : Unsatisfiable 0.55s 0.99s
% Output : Refutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : KRS075+1 : TPTP v8.1.0. Released v3.1.0.
% 0.00/0.11 % Command : bliksem %s
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % DateTime : Tue Jun 7 18:00:51 EDT 2022
% 0.11/0.31 % CPUTime :
% 0.55/0.99 *** allocated 10000 integers for termspace/termends
% 0.55/0.99 *** allocated 10000 integers for clauses
% 0.55/0.99 *** allocated 10000 integers for justifications
% 0.55/0.99 Bliksem 1.12
% 0.55/0.99
% 0.55/0.99
% 0.55/0.99 Automatic Strategy Selection
% 0.55/0.99
% 0.55/0.99
% 0.55/0.99 Clauses:
% 0.55/0.99
% 0.55/0.99 { ! Y = X, ! cUnsatisfiable( Y ), cUnsatisfiable( X ) }.
% 0.55/0.99 { ! Y = X, ! cowlNothing( Y ), cowlNothing( X ) }.
% 0.55/0.99 { ! Y = X, ! cowlThing( Y ), cowlThing( X ) }.
% 0.55/0.99 { ! Y = X, ! cp( Y ), cp( X ) }.
% 0.55/0.99 { ! Z = X, ! rf( Z, Y ), rf( X, Y ) }.
% 0.55/0.99 { ! Z = X, ! rf( Y, Z ), rf( Y, X ) }.
% 0.55/0.99 { ! Z = X, ! rf1( Z, Y ), rf1( X, Y ) }.
% 0.55/0.99 { ! Z = X, ! rf1( Y, Z ), rf1( Y, X ) }.
% 0.55/0.99 { ! Z = X, ! rinvF( Z, Y ), rinvF( X, Y ) }.
% 0.55/0.99 { ! Z = X, ! rinvF( Y, Z ), rinvF( Y, X ) }.
% 0.55/0.99 { ! Z = X, ! rinvF1( Z, Y ), rinvF1( X, Y ) }.
% 0.55/0.99 { ! Z = X, ! rinvF1( Y, Z ), rinvF1( Y, X ) }.
% 0.55/0.99 { ! Z = X, ! rinvS( Z, Y ), rinvS( X, Y ) }.
% 0.55/0.99 { ! Z = X, ! rinvS( Y, Z ), rinvS( Y, X ) }.
% 0.55/0.99 { ! Z = X, ! rs( Z, Y ), rs( X, Y ) }.
% 0.55/0.99 { ! Z = X, ! rs( Y, Z ), rs( Y, X ) }.
% 0.55/0.99 { ! Y = X, ! xsd_integer( Y ), xsd_integer( X ) }.
% 0.55/0.99 { ! Y = X, ! xsd_string( Y ), xsd_string( X ) }.
% 0.55/0.99 { cowlThing( X ) }.
% 0.55/0.99 { ! cowlNothing( X ) }.
% 0.55/0.99 { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.55/0.99 { xsd_integer( X ), xsd_string( X ) }.
% 0.55/0.99 { ! cUnsatisfiable( X ), alpha1( X ) }.
% 0.55/0.99 { ! cUnsatisfiable( X ), alpha2( X ) }.
% 0.55/0.99 { ! alpha1( X ), ! alpha2( X ), cUnsatisfiable( X ) }.
% 0.55/0.99 { ! alpha2( X ), alpha3( X ) }.
% 0.55/0.99 { ! alpha2( X ), alpha4( X ) }.
% 0.55/0.99 { ! alpha3( X ), ! alpha4( X ), alpha2( X ) }.
% 0.55/0.99 { ! alpha4( X ), cp( skol1( Y ) ) }.
% 0.55/0.99 { ! alpha4( X ), rf( X, skol1( X ) ) }.
% 0.55/0.99 { ! rf( X, Y ), ! cp( Y ), alpha4( X ) }.
% 0.55/0.99 { ! alpha3( X ), cowlThing( skol2( Y ) ) }.
% 0.55/0.99 { ! alpha3( X ), rs( X, skol2( X ) ) }.
% 0.55/0.99 { ! rs( X, Y ), ! cowlThing( Y ), alpha3( X ) }.
% 0.55/0.99 { ! alpha1( X ), ! cp( skol3( Y ) ) }.
% 0.55/0.99 { ! alpha1( X ), rf1( X, skol3( X ) ) }.
% 0.55/0.99 { ! rf1( X, Y ), cp( Y ), alpha1( X ) }.
% 0.55/0.99 { ! rf( Z, X ), ! rf( Z, Y ), X = Y }.
% 0.55/0.99 { ! rf1( Z, X ), ! rf1( Z, Y ), X = Y }.
% 0.55/0.99 { ! rinvF( X, Y ), rf( Y, X ) }.
% 0.55/0.99 { ! rf( Y, X ), rinvF( X, Y ) }.
% 0.55/0.99 { ! rinvF1( X, Y ), rf1( Y, X ) }.
% 0.55/0.99 { ! rf1( Y, X ), rinvF1( X, Y ) }.
% 0.55/0.99 { ! rinvS( X, Y ), rs( Y, X ) }.
% 0.55/0.99 { ! rs( Y, X ), rinvS( X, Y ) }.
% 0.55/0.99 { ! rs( Z, X ), ! rs( Z, Y ), X = Y }.
% 0.55/0.99 { cUnsatisfiable( i2003_11_14_17_19_02584 ) }.
% 0.55/0.99 { ! rs( X, Y ), rf1( X, Y ) }.
% 0.55/0.99 { ! rs( X, Y ), rf( X, Y ) }.
% 0.55/0.99
% 0.55/0.99 percentage equality = 0.176471, percentage horn = 0.958333
% 0.55/0.99 This is a problem with some equality
% 0.55/0.99
% 0.55/0.99
% 0.55/0.99
% 0.55/0.99 Options Used:
% 0.55/0.99
% 0.55/0.99 useres = 1
% 0.55/0.99 useparamod = 1
% 0.55/0.99 useeqrefl = 1
% 0.55/0.99 useeqfact = 1
% 0.55/0.99 usefactor = 1
% 0.55/0.99 usesimpsplitting = 0
% 0.55/0.99 usesimpdemod = 5
% 0.55/0.99 usesimpres = 3
% 0.55/0.99
% 0.55/0.99 resimpinuse = 1000
% 0.55/0.99 resimpclauses = 20000
% 0.55/0.99 substype = eqrewr
% 0.55/0.99 backwardsubs = 1
% 0.55/0.99 selectoldest = 5
% 0.55/0.99
% 0.55/0.99 litorderings [0] = split
% 0.55/0.99 litorderings [1] = extend the termordering, first sorting on arguments
% 0.55/0.99
% 0.55/0.99 termordering = kbo
% 0.55/0.99
% 0.55/0.99 litapriori = 0
% 0.55/0.99 termapriori = 1
% 0.55/0.99 litaposteriori = 0
% 0.55/0.99 termaposteriori = 0
% 0.55/0.99 demodaposteriori = 0
% 0.55/0.99 ordereqreflfact = 0
% 0.55/0.99
% 0.55/0.99 litselect = negord
% 0.55/0.99
% 0.55/0.99 maxweight = 15
% 0.55/0.99 maxdepth = 30000
% 0.55/0.99 maxlength = 115
% 0.55/0.99 maxnrvars = 195
% 0.55/0.99 excuselevel = 1
% 0.55/0.99 increasemaxweight = 1
% 0.55/0.99
% 0.55/0.99 maxselected = 10000000
% 0.55/0.99 maxnrclauses = 10000000
% 0.55/0.99
% 0.55/0.99 showgenerated = 0
% 0.55/0.99 showkept = 0
% 0.55/0.99 showselected = 0
% 0.55/0.99 showdeleted = 0
% 0.55/0.99 showresimp = 1
% 0.55/0.99 showstatus = 2000
% 0.55/0.99
% 0.55/0.99 prologoutput = 0
% 0.55/0.99 nrgoals = 5000000
% 0.55/0.99 totalproof = 1
% 0.55/0.99
% 0.55/0.99 Symbols occurring in the translation:
% 0.55/0.99
% 0.55/0.99 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.55/0.99 . [1, 2] (w:1, o:31, a:1, s:1, b:0),
% 0.55/0.99 ! [4, 1] (w:0, o:13, a:1, s:1, b:0),
% 0.55/0.99 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.55/0.99 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.55/0.99 cUnsatisfiable [37, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.55/0.99 cowlNothing [38, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.55/0.99 cowlThing [39, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.55/0.99 cp [40, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.55/0.99 rf [42, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.55/0.99 rf1 [43, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.55/0.99 rinvF [44, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.55/0.99 rinvF1 [45, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.55/0.99 rinvS [46, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.55/0.99 rs [47, 2] (w:1, o:60, a:1, s:1, b:0),
% 0.55/0.99 xsd_integer [48, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.55/0.99 xsd_string [49, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.55/0.99 i2003_11_14_17_19_02584 [53, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.55/0.99 alpha1 [54, 1] (w:1, o:24, a:1, s:1, b:1),
% 0.55/0.99 alpha2 [55, 1] (w:1, o:25, a:1, s:1, b:1),
% 0.55/0.99 alpha3 [56, 1] (w:1, o:26, a:1, s:1, b:1),
% 0.55/0.99 alpha4 [57, 1] (w:1, o:27, a:1, s:1, b:1),
% 0.55/0.99 skol1 [58, 1] (w:1, o:28, a:1, s:1, b:1),
% 0.55/0.99 skol2 [59, 1] (w:1, o:29, a:1, s:1, b:1),
% 0.55/0.99 skol3 [60, 1] (w:1, o:30, a:1, s:1, b:1).
% 0.55/0.99
% 0.55/0.99
% 0.55/0.99 Starting Search:
% 0.55/0.99
% 0.55/0.99 *** allocated 15000 integers for clauses
% 0.55/0.99 *** allocated 22500 integers for clauses
% 0.55/0.99 *** allocated 33750 integers for clauses
% 0.55/0.99 *** allocated 15000 integers for termspace/termends
% 0.55/0.99 *** allocated 50625 integers for clauses
% 0.55/0.99 Resimplifying inuse:
% 0.55/0.99 Done
% 0.55/0.99
% 0.55/0.99 *** allocated 22500 integers for termspace/termends
% 0.55/0.99 *** allocated 75937 integers for clauses
% 0.55/0.99 *** allocated 33750 integers for termspace/termends
% 0.55/0.99 *** allocated 113905 integers for clauses
% 0.55/0.99
% 0.55/0.99 Intermediate Status:
% 0.55/0.99 Generated: 6083
% 0.55/0.99 Kept: 2028
% 0.55/0.99 Inuse: 202
% 0.55/0.99 Deleted: 10
% 0.55/0.99 Deletedinuse: 2
% 0.55/0.99
% 0.55/0.99 Resimplifying inuse:
% 0.55/0.99 Done
% 0.55/0.99
% 0.55/0.99
% 0.55/0.99 Bliksems!, er is een bewijs:
% 0.55/0.99 % SZS status Unsatisfiable
% 0.55/0.99 % SZS output start Refutation
% 0.55/0.99
% 0.55/0.99 (3) {G0,W7,D2,L3,V2,M3} I { ! Y = X, ! cp( Y ), cp( X ) }.
% 0.55/0.99 (22) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X ) }.
% 0.55/0.99 (23) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha2( X ) }.
% 0.55/0.99 (25) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha3( X ) }.
% 0.55/0.99 (26) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha4( X ) }.
% 0.55/0.99 (28) {G0,W5,D3,L2,V2,M2} I { ! alpha4( X ), cp( skol1( Y ) ) }.
% 0.55/0.99 (29) {G0,W6,D3,L2,V1,M2} I { ! alpha4( X ), rf( X, skol1( X ) ) }.
% 0.55/0.99 (31) {G0,W6,D3,L2,V1,M2} I { ! alpha3( X ), rs( X, skol2( X ) ) }.
% 0.55/0.99 (33) {G0,W5,D3,L2,V2,M2} I { ! alpha1( X ), ! cp( skol3( Y ) ) }.
% 0.55/0.99 (34) {G0,W6,D3,L2,V1,M2} I { ! alpha1( X ), rf1( X, skol3( X ) ) }.
% 0.55/0.99 (36) {G0,W9,D2,L3,V3,M3} I { ! rf( Z, X ), ! rf( Z, Y ), X = Y }.
% 0.55/0.99 (37) {G0,W9,D2,L3,V3,M3} I { ! rf1( Z, X ), ! rf1( Z, Y ), X = Y }.
% 0.55/0.99 (45) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( i2003_11_14_17_19_02584 ) }.
% 0.55/0.99 (46) {G0,W6,D2,L2,V2,M2} I { ! rs( X, Y ), rf1( X, Y ) }.
% 0.55/0.99 (47) {G0,W6,D2,L2,V2,M2} I { ! rs( X, Y ), rf( X, Y ) }.
% 0.55/0.99 (53) {G1,W2,D2,L1,V0,M1} R(23,45) { alpha2( i2003_11_14_17_19_02584 ) }.
% 0.55/0.99 (54) {G2,W2,D2,L1,V0,M1} R(53,25) { alpha3( i2003_11_14_17_19_02584 ) }.
% 0.55/0.99 (55) {G2,W2,D2,L1,V0,M1} R(53,26) { alpha4( i2003_11_14_17_19_02584 ) }.
% 0.55/0.99 (59) {G1,W2,D2,L1,V0,M1} R(22,45) { alpha1( i2003_11_14_17_19_02584 ) }.
% 0.55/0.99 (69) {G2,W3,D3,L1,V1,M1} R(33,59) { ! cp( skol3( X ) ) }.
% 0.55/0.99 (74) {G3,W3,D3,L1,V1,M1} R(28,55) { cp( skol1( X ) ) }.
% 0.55/0.99 (75) {G4,W6,D3,L2,V2,M2} R(74,3) { ! skol1( X ) = Y, cp( Y ) }.
% 0.55/0.99 (118) {G5,W5,D3,L1,V2,M1} R(75,69) { ! skol1( X ) = skol3( Y ) }.
% 0.55/0.99 (130) {G1,W6,D3,L2,V1,M2} R(34,22) { rf1( X, skol3( X ) ), ! cUnsatisfiable
% 0.55/0.99 ( X ) }.
% 0.55/0.99 (163) {G3,W4,D3,L1,V0,M1} R(31,54) { rs( i2003_11_14_17_19_02584, skol2(
% 0.55/0.99 i2003_11_14_17_19_02584 ) ) }.
% 0.55/0.99 (168) {G4,W4,D3,L1,V0,M1} R(163,46) { rf1( i2003_11_14_17_19_02584, skol2(
% 0.55/0.99 i2003_11_14_17_19_02584 ) ) }.
% 0.55/0.99 (169) {G4,W4,D3,L1,V0,M1} R(163,47) { rf( i2003_11_14_17_19_02584, skol2(
% 0.55/0.99 i2003_11_14_17_19_02584 ) ) }.
% 0.55/0.99 (269) {G3,W4,D3,L1,V0,M1} R(29,55) { rf( i2003_11_14_17_19_02584, skol1(
% 0.55/0.99 i2003_11_14_17_19_02584 ) ) }.
% 0.55/0.99 (352) {G4,W7,D3,L2,V1,M2} R(36,269) { ! rf( i2003_11_14_17_19_02584, X ),
% 0.55/0.99 skol1( i2003_11_14_17_19_02584 ) = X }.
% 0.55/0.99 (473) {G5,W7,D3,L2,V1,M2} R(37,168) { ! rf1( i2003_11_14_17_19_02584, X ),
% 0.55/0.99 skol2( i2003_11_14_17_19_02584 ) = X }.
% 0.55/0.99 (1471) {G6,W5,D3,L1,V0,M1} R(473,130);r(45) { skol3(
% 0.55/0.99 i2003_11_14_17_19_02584 ) ==> skol2( i2003_11_14_17_19_02584 ) }.
% 0.55/0.99 (1622) {G7,W5,D3,L1,V1,M1} P(1471,118) { ! skol1( X ) = skol2(
% 0.55/0.99 i2003_11_14_17_19_02584 ) }.
% 0.55/0.99 (2550) {G8,W0,D0,L0,V0,M0} R(352,1622);r(169) { }.
% 0.55/0.99
% 0.55/0.99
% 0.55/0.99 % SZS output end Refutation
% 0.55/0.99 found a proof!
% 0.55/0.99
% 0.55/0.99
% 0.55/0.99 Unprocessed initial clauses:
% 0.55/0.99
% 0.55/0.99 (2552) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cUnsatisfiable( Y ),
% 0.55/0.99 cUnsatisfiable( X ) }.
% 0.55/0.99 (2553) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cowlNothing( Y ), cowlNothing( X )
% 0.55/0.99 }.
% 0.55/0.99 (2554) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cowlThing( Y ), cowlThing( X ) }.
% 0.55/0.99 (2555) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cp( Y ), cp( X ) }.
% 0.55/0.99 (2556) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rf( Z, Y ), rf( X, Y ) }.
% 0.55/0.99 (2557) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rf( Y, Z ), rf( Y, X ) }.
% 0.55/0.99 (2558) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rf1( Z, Y ), rf1( X, Y ) }.
% 0.55/0.99 (2559) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rf1( Y, Z ), rf1( Y, X ) }.
% 0.55/0.99 (2560) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvF( Z, Y ), rinvF( X, Y ) }.
% 0.55/0.99 (2561) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvF( Y, Z ), rinvF( Y, X ) }.
% 0.55/0.99 (2562) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvF1( Z, Y ), rinvF1( X, Y ) }.
% 0.55/0.99 (2563) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvF1( Y, Z ), rinvF1( Y, X ) }.
% 0.55/0.99 (2564) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvS( Z, Y ), rinvS( X, Y ) }.
% 0.55/0.99 (2565) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvS( Y, Z ), rinvS( Y, X ) }.
% 0.55/0.99 (2566) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rs( Z, Y ), rs( X, Y ) }.
% 0.55/0.99 (2567) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rs( Y, Z ), rs( Y, X ) }.
% 0.55/0.99 (2568) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! xsd_integer( Y ), xsd_integer( X )
% 0.55/0.99 }.
% 0.55/0.99 (2569) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! xsd_string( Y ), xsd_string( X )
% 0.55/0.99 }.
% 0.55/0.99 (2570) {G0,W2,D2,L1,V1,M1} { cowlThing( X ) }.
% 0.55/0.99 (2571) {G0,W2,D2,L1,V1,M1} { ! cowlNothing( X ) }.
% 0.55/0.99 (2572) {G0,W4,D2,L2,V1,M2} { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.55/0.99 (2573) {G0,W4,D2,L2,V1,M2} { xsd_integer( X ), xsd_string( X ) }.
% 0.55/0.99 (2574) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), alpha1( X ) }.
% 0.55/0.99 (2575) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), alpha2( X ) }.
% 0.55/0.99 (2576) {G0,W6,D2,L3,V1,M3} { ! alpha1( X ), ! alpha2( X ), cUnsatisfiable
% 0.55/0.99 ( X ) }.
% 0.55/0.99 (2577) {G0,W4,D2,L2,V1,M2} { ! alpha2( X ), alpha3( X ) }.
% 0.55/0.99 (2578) {G0,W4,D2,L2,V1,M2} { ! alpha2( X ), alpha4( X ) }.
% 0.55/0.99 (2579) {G0,W6,D2,L3,V1,M3} { ! alpha3( X ), ! alpha4( X ), alpha2( X ) }.
% 0.55/0.99 (2580) {G0,W5,D3,L2,V2,M2} { ! alpha4( X ), cp( skol1( Y ) ) }.
% 0.55/0.99 (2581) {G0,W6,D3,L2,V1,M2} { ! alpha4( X ), rf( X, skol1( X ) ) }.
% 0.55/0.99 (2582) {G0,W7,D2,L3,V2,M3} { ! rf( X, Y ), ! cp( Y ), alpha4( X ) }.
% 0.55/0.99 (2583) {G0,W5,D3,L2,V2,M2} { ! alpha3( X ), cowlThing( skol2( Y ) ) }.
% 0.55/0.99 (2584) {G0,W6,D3,L2,V1,M2} { ! alpha3( X ), rs( X, skol2( X ) ) }.
% 0.55/0.99 (2585) {G0,W7,D2,L3,V2,M3} { ! rs( X, Y ), ! cowlThing( Y ), alpha3( X )
% 0.55/0.99 }.
% 0.55/0.99 (2586) {G0,W5,D3,L2,V2,M2} { ! alpha1( X ), ! cp( skol3( Y ) ) }.
% 0.55/0.99 (2587) {G0,W6,D3,L2,V1,M2} { ! alpha1( X ), rf1( X, skol3( X ) ) }.
% 0.55/0.99 (2588) {G0,W7,D2,L3,V2,M3} { ! rf1( X, Y ), cp( Y ), alpha1( X ) }.
% 0.55/0.99 (2589) {G0,W9,D2,L3,V3,M3} { ! rf( Z, X ), ! rf( Z, Y ), X = Y }.
% 0.55/0.99 (2590) {G0,W9,D2,L3,V3,M3} { ! rf1( Z, X ), ! rf1( Z, Y ), X = Y }.
% 0.55/0.99 (2591) {G0,W6,D2,L2,V2,M2} { ! rinvF( X, Y ), rf( Y, X ) }.
% 0.55/0.99 (2592) {G0,W6,D2,L2,V2,M2} { ! rf( Y, X ), rinvF( X, Y ) }.
% 0.55/0.99 (2593) {G0,W6,D2,L2,V2,M2} { ! rinvF1( X, Y ), rf1( Y, X ) }.
% 0.55/0.99 (2594) {G0,W6,D2,L2,V2,M2} { ! rf1( Y, X ), rinvF1( X, Y ) }.
% 0.55/0.99 (2595) {G0,W6,D2,L2,V2,M2} { ! rinvS( X, Y ), rs( Y, X ) }.
% 0.55/0.99 (2596) {G0,W6,D2,L2,V2,M2} { ! rs( Y, X ), rinvS( X, Y ) }.
% 0.55/0.99 (2597) {G0,W9,D2,L3,V3,M3} { ! rs( Z, X ), ! rs( Z, Y ), X = Y }.
% 0.55/0.99 (2598) {G0,W2,D2,L1,V0,M1} { cUnsatisfiable( i2003_11_14_17_19_02584 ) }.
% 0.55/0.99 (2599) {G0,W6,D2,L2,V2,M2} { ! rs( X, Y ), rf1( X, Y ) }.
% 0.55/0.99 (2600) {G0,W6,D2,L2,V2,M2} { ! rs( X, Y ), rf( X, Y ) }.
% 0.55/0.99
% 0.55/0.99
% 0.55/0.99 Total Proof:
% 0.55/0.99
% 0.55/0.99 subsumption: (3) {G0,W7,D2,L3,V2,M3} I { ! Y = X, ! cp( Y ), cp( X ) }.
% 0.55/0.99 parent0: (2555) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cp( Y ), cp( X ) }.
% 0.55/0.99 substitution0:
% 0.55/0.99 X := X
% 0.55/0.99 Y := Y
% 0.55/0.99 end
% 0.55/0.99 permutation0:
% 0.55/0.99 0 ==> 0
% 0.55/0.99 1 ==> 1
% 0.55/0.99 2 ==> 2
% 0.55/0.99 end
% 0.55/0.99
% 0.55/0.99 subsumption: (22) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X
% 0.55/0.99 ) }.
% 0.55/0.99 parent0: (2574) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), alpha1( X )
% 0.55/0.99 }.
% 0.55/0.99 substitution0:
% 0.55/0.99 X := X
% 0.55/0.99 end
% 0.55/0.99 permutation0:
% 0.55/0.99 0 ==> 0
% 0.55/0.99 1 ==> 1
% 0.55/0.99 end
% 0.55/0.99
% 0.55/0.99 *** allocated 50625 integers for termspace/termends
% 0.55/0.99 subsumption: (23) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha2( X
% 0.55/0.99 ) }.
% 0.55/0.99 parent0: (2575) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), alpha2( X )
% 0.55/0.99 }.
% 0.55/0.99 substitution0:
% 0.55/0.99 X := X
% 0.55/0.99 end
% 0.55/0.99 permutation0:
% 0.55/0.99 0 ==> 0
% 0.55/0.99 1 ==> 1
% 0.55/0.99 end
% 0.55/0.99
% 0.55/0.99 subsumption: (25) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha3( X ) }.
% 0.55/0.99 parent0: (2577) {G0,W4,D2,L2,V1,M2} { ! alpha2( X ), alpha3( X ) }.
% 0.55/0.99 substitution0:
% 0.55/0.99 X := X
% 0.55/0.99 end
% 0.55/0.99 permutation0:
% 0.55/0.99 0 ==> 0
% 0.55/0.99 1 ==> 1
% 0.55/0.99 end
% 0.55/0.99
% 0.55/0.99 subsumption: (26) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha4( X ) }.
% 0.55/0.99 parent0: (2578) {G0,W4,D2,L2,V1,M2} { ! alpha2( X ), alpha4( X ) }.
% 0.55/0.99 substitution0:
% 0.55/0.99 X := X
% 0.55/0.99 end
% 0.55/0.99 permutation0:
% 0.55/0.99 0 ==> 0
% 0.55/0.99 1 ==> 1
% 0.55/0.99 end
% 0.55/0.99
% 0.55/0.99 subsumption: (28) {G0,W5,D3,L2,V2,M2} I { ! alpha4( X ), cp( skol1( Y ) )
% 0.55/0.99 }.
% 0.55/0.99 parent0: (2580) {G0,W5,D3,L2,V2,M2} { ! alpha4( X ), cp( skol1( Y ) ) }.
% 0.55/0.99 substitution0:
% 0.55/0.99 X := X
% 0.55/0.99 Y := Y
% 0.55/0.99 end
% 0.55/0.99 permutation0:
% 0.55/0.99 0 ==> 0
% 0.55/0.99 1 ==> 1
% 0.55/0.99 end
% 0.55/0.99
% 0.55/0.99 subsumption: (29) {G0,W6,D3,L2,V1,M2} I { ! alpha4( X ), rf( X, skol1( X )
% 0.55/0.99 ) }.
% 0.55/0.99 parent0: (2581) {G0,W6,D3,L2,V1,M2} { ! alpha4( X ), rf( X, skol1( X ) )
% 0.55/0.99 }.
% 0.55/0.99 substitution0:
% 0.55/0.99 X := X
% 0.55/0.99 end
% 0.55/0.99 permutation0:
% 0.55/0.99 0 ==> 0
% 0.55/0.99 1 ==> 1
% 0.55/0.99 end
% 0.55/0.99
% 0.55/0.99 subsumption: (31) {G0,W6,D3,L2,V1,M2} I { ! alpha3( X ), rs( X, skol2( X )
% 0.55/0.99 ) }.
% 0.55/0.99 parent0: (2584) {G0,W6,D3,L2,V1,M2} { ! alpha3( X ), rs( X, skol2( X ) )
% 0.55/0.99 }.
% 0.55/0.99 substitution0:
% 0.55/0.99 X := X
% 0.55/0.99 end
% 0.55/0.99 permutation0:
% 0.55/0.99 0 ==> 0
% 0.55/0.99 1 ==> 1
% 0.55/0.99 end
% 0.55/0.99
% 0.55/0.99 subsumption: (33) {G0,W5,D3,L2,V2,M2} I { ! alpha1( X ), ! cp( skol3( Y ) )
% 0.55/0.99 }.
% 0.55/0.99 parent0: (2586) {G0,W5,D3,L2,V2,M2} { ! alpha1( X ), ! cp( skol3( Y ) )
% 0.55/0.99 }.
% 0.55/0.99 substitution0:
% 0.55/0.99 X := X
% 0.55/0.99 Y := Y
% 0.55/0.99 end
% 0.55/0.99 permutation0:
% 0.55/0.99 0 ==> 0
% 0.55/0.99 1 ==> 1
% 0.55/0.99 end
% 0.55/0.99
% 0.55/0.99 subsumption: (34) {G0,W6,D3,L2,V1,M2} I { ! alpha1( X ), rf1( X, skol3( X )
% 0.55/0.99 ) }.
% 0.55/0.99 parent0: (2587) {G0,W6,D3,L2,V1,M2} { ! alpha1( X ), rf1( X, skol3( X ) )
% 0.55/0.99 }.
% 0.55/0.99 substitution0:
% 0.55/0.99 X := X
% 0.55/0.99 end
% 0.55/0.99 permutation0:
% 0.55/0.99 0 ==> 0
% 0.55/0.99 1 ==> 1
% 0.55/0.99 end
% 0.55/0.99
% 0.55/0.99 subsumption: (36) {G0,W9,D2,L3,V3,M3} I { ! rf( Z, X ), ! rf( Z, Y ), X = Y
% 0.55/0.99 }.
% 0.55/0.99 parent0: (2589) {G0,W9,D2,L3,V3,M3} { ! rf( Z, X ), ! rf( Z, Y ), X = Y
% 0.55/0.99 }.
% 0.55/0.99 substitution0:
% 0.55/0.99 X := X
% 0.55/0.99 Y := Y
% 0.55/0.99 Z := Z
% 0.55/0.99 end
% 0.55/0.99 permutation0:
% 0.55/0.99 0 ==> 0
% 0.55/0.99 1 ==> 1
% 0.55/0.99 2 ==> 2
% 0.55/0.99 end
% 0.55/0.99
% 0.55/0.99 subsumption: (37) {G0,W9,D2,L3,V3,M3} I { ! rf1( Z, X ), ! rf1( Z, Y ), X =
% 0.55/0.99 Y }.
% 0.55/0.99 parent0: (2590) {G0,W9,D2,L3,V3,M3} { ! rf1( Z, X ), ! rf1( Z, Y ), X = Y
% 0.55/0.99 }.
% 0.55/0.99 substitution0:
% 0.55/0.99 X := X
% 0.55/0.99 Y := Y
% 0.55/0.99 Z := Z
% 0.55/0.99 end
% 0.55/0.99 permutation0:
% 0.55/0.99 0 ==> 0
% 0.55/0.99 1 ==> 1
% 0.55/0.99 2 ==> 2
% 0.55/0.99 end
% 0.55/0.99
% 0.55/0.99 subsumption: (45) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 0.55/0.99 i2003_11_14_17_19_02584 ) }.
% 0.55/0.99 parent0: (2598) {G0,W2,D2,L1,V0,M1} { cUnsatisfiable(
% 0.55/0.99 i2003_11_14_17_19_02584 ) }.
% 0.55/0.99 substitution0:
% 0.55/0.99 end
% 0.55/0.99 permutation0:
% 0.55/0.99 0 ==> 0
% 0.55/0.99 end
% 0.55/0.99
% 0.55/0.99 subsumption: (46) {G0,W6,D2,L2,V2,M2} I { ! rs( X, Y ), rf1( X, Y ) }.
% 0.55/0.99 parent0: (2599) {G0,W6,D2,L2,V2,M2} { ! rs( X, Y ), rf1( X, Y ) }.
% 0.55/0.99 substitution0:
% 0.55/0.99 X := X
% 0.55/0.99 Y := Y
% 0.55/0.99 end
% 0.55/0.99 permutation0:
% 0.55/0.99 0 ==> 0
% 0.55/0.99 1 ==> 1
% 0.55/0.99 end
% 0.55/0.99
% 0.55/0.99 subsumption: (47) {G0,W6,D2,L2,V2,M2} I { ! rs( X, Y ), rf( X, Y ) }.
% 0.55/0.99 parent0: (2600) {G0,W6,D2,L2,V2,M2} { ! rs( X, Y ), rf( X, Y ) }.
% 0.55/0.99 substitution0:
% 0.55/0.99 X := X
% 0.55/0.99 Y := Y
% 0.55/0.99 end
% 0.55/0.99 permutation0:
% 0.55/0.99 0 ==> 0
% 0.55/0.99 1 ==> 1
% 0.55/0.99 end
% 0.55/0.99
% 0.55/0.99 resolution: (2869) {G1,W2,D2,L1,V0,M1} { alpha2( i2003_11_14_17_19_02584 )
% 0.55/0.99 }.
% 0.55/0.99 parent0[0]: (23) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha2( X )
% 0.55/0.99 }.
% 0.55/0.99 parent1[0]: (45) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 0.55/0.99 i2003_11_14_17_19_02584 ) }.
% 0.55/0.99 substitution0:
% 0.55/0.99 X := i2003_11_14_17_19_02584
% 0.55/0.99 end
% 0.55/0.99 substitution1:
% 0.55/0.99 end
% 0.55/0.99
% 0.55/0.99 subsumption: (53) {G1,W2,D2,L1,V0,M1} R(23,45) { alpha2(
% 0.55/0.99 i2003_11_14_17_19_02584 ) }.
% 0.55/0.99 parent0: (2869) {G1,W2,D2,L1,V0,M1} { alpha2( i2003_11_14_17_19_02584 )
% 0.55/0.99 }.
% 0.55/0.99 substitution0:
% 0.55/0.99 end
% 0.55/0.99 permutation0:
% 0.55/0.99 0 ==> 0
% 0.55/0.99 end
% 0.55/0.99
% 0.55/0.99 resolution: (2870) {G1,W2,D2,L1,V0,M1} { alpha3( i2003_11_14_17_19_02584 )
% 0.55/0.99 }.
% 0.55/0.99 parent0[0]: (25) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha3( X ) }.
% 0.55/0.99 parent1[0]: (53) {G1,W2,D2,L1,V0,M1} R(23,45) { alpha2(
% 0.55/0.99 i2003_11_14_17_19_02584 ) }.
% 0.55/0.99 substitution0:
% 0.55/0.99 X := i2003_11_14_17_19_02584
% 0.55/0.99 end
% 0.55/0.99 substitution1:
% 0.55/0.99 end
% 0.55/0.99
% 0.55/0.99 subsumption: (54) {G2,W2,D2,L1,V0,M1} R(53,25) { alpha3(
% 0.55/0.99 i2003_11_14_17_19_02584 ) }.
% 0.55/0.99 parent0: (2870) {G1,W2,D2,L1,V0,M1} { alpha3( i2003_11_14_17_19_02584 )
% 0.55/0.99 }.
% 0.55/0.99 substitution0:
% 0.55/0.99 end
% 0.55/0.99 permutation0:
% 0.55/0.99 0 ==> 0
% 0.55/0.99 end
% 0.55/0.99
% 0.55/0.99 resolution: (2871) {G1,W2,D2,L1,V0,M1} { alpha4( i2003_11_14_17_19_02584 )
% 0.55/0.99 }.
% 0.55/0.99 parent0[0]: (26) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha4( X ) }.
% 0.55/0.99 parent1[0]: (53) {G1,W2,D2,L1,V0,M1} R(23,45) { alpha2(
% 0.55/0.99 i2003_11_14_17_19_02584 ) }.
% 0.55/0.99 substitution0:
% 0.55/0.99 X := i2003_11_14_17_19_02584
% 0.55/0.99 end
% 0.55/0.99 substitution1:
% 0.55/0.99 end
% 0.55/0.99
% 0.55/0.99 subsumption: (55) {G2,W2,D2,L1,V0,M1} R(53,26) { alpha4(
% 0.55/0.99 i2003_11_14_17_19_02584 ) }.
% 0.55/0.99 parent0: (2871) {G1,W2,D2,L1,V0,M1} { alpha4( i2003_11_14_17_19_02584 )
% 0.55/0.99 }.
% 0.55/0.99 substitution0:
% 0.55/0.99 end
% 0.55/0.99 permutation0:
% 0.55/0.99 0 ==> 0
% 0.55/0.99 end
% 0.55/0.99
% 0.55/0.99 resolution: (2872) {G1,W2,D2,L1,V0,M1} { alpha1( i2003_11_14_17_19_02584 )
% 0.55/0.99 }.
% 0.55/0.99 parent0[0]: (22) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X )
% 0.55/0.99 }.
% 0.55/0.99 parent1[0]: (45) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 0.55/0.99 i2003_11_14_17_19_02584 ) }.
% 0.55/0.99 substitution0:
% 0.55/0.99 X := i2003_11_14_17_19_02584
% 0.55/0.99 end
% 0.55/0.99 substitution1:
% 0.55/0.99 end
% 0.55/0.99
% 0.55/0.99 subsumption: (59) {G1,W2,D2,L1,V0,M1} R(22,45) { alpha1(
% 0.55/0.99 i2003_11_14_17_19_02584 ) }.
% 0.55/0.99 parent0: (2872) {G1,W2,D2,L1,V0,M1} { alpha1( i2003_11_14_17_19_02584 )
% 0.55/0.99 }.
% 0.55/0.99 substitution0:
% 0.55/0.99 end
% 0.55/0.99 permutation0:
% 0.55/0.99 0 ==> 0
% 0.55/0.99 end
% 0.55/0.99
% 0.55/0.99 resolution: (2873) {G1,W3,D3,L1,V1,M1} { ! cp( skol3( X ) ) }.
% 0.55/0.99 parent0[0]: (33) {G0,W5,D3,L2,V2,M2} I { ! alpha1( X ), ! cp( skol3( Y ) )
% 0.55/0.99 }.
% 0.55/0.99 parent1[0]: (59) {G1,W2,D2,L1,V0,M1} R(22,45) { alpha1(
% 0.55/0.99 i2003_11_14_17_19_02584 ) }.
% 0.55/0.99 substitution0:
% 0.55/0.99 X := i2003_11_14_17_19_02584
% 0.55/0.99 Y := X
% 0.55/0.99 end
% 0.55/0.99 substitution1:
% 0.55/0.99 end
% 0.55/0.99
% 0.55/0.99 subsumption: (69) {G2,W3,D3,L1,V1,M1} R(33,59) { ! cp( skol3( X ) ) }.
% 0.55/0.99 parent0: (2873) {G1,W3,D3,L1,V1,M1} { ! cp( skol3( X ) ) }.
% 0.55/0.99 substitution0:
% 0.55/0.99 X := X
% 0.55/0.99 end
% 0.55/0.99 permutation0:
% 0.55/0.99 0 ==> 0
% 0.55/0.99 end
% 0.55/0.99
% 0.55/0.99 resolution: (2874) {G1,W3,D3,L1,V1,M1} { cp( skol1( X ) ) }.
% 0.55/0.99 parent0[0]: (28) {G0,W5,D3,L2,V2,M2} I { ! alpha4( X ), cp( skol1( Y ) )
% 0.55/0.99 }.
% 0.55/0.99 parent1[0]: (55) {G2,W2,D2,L1,V0,M1} R(53,26) { alpha4(
% 0.55/0.99 i2003_11_14_17_19_02584 ) }.
% 0.55/0.99 substitution0:
% 0.55/0.99 X := i2003_11_14_17_19_02584
% 0.55/0.99 Y := X
% 0.55/0.99 end
% 0.55/0.99 substitution1:
% 0.55/0.99 end
% 0.55/0.99
% 0.55/0.99 subsumption: (74) {G3,W3,D3,L1,V1,M1} R(28,55) { cp( skol1( X ) ) }.
% 0.55/0.99 parent0: (2874) {G1,W3,D3,L1,V1,M1} { cp( skol1( X ) ) }.
% 0.55/0.99 substitution0:
% 0.55/0.99 X := X
% 0.55/0.99 end
% 0.55/0.99 permutation0:
% 0.55/0.99 0 ==> 0
% 0.55/0.99 end
% 0.55/0.99
% 0.55/0.99 eqswap: (2875) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cp( X ), cp( Y ) }.
% 0.55/0.99 parent0[0]: (3) {G0,W7,D2,L3,V2,M3} I { ! Y = X, ! cp( Y ), cp( X ) }.
% 0.55/0.99 substitution0:
% 0.55/0.99 X := Y
% 0.55/0.99 Y := X
% 0.55/0.99 end
% 0.55/0.99
% 0.55/0.99 resolution: (2876) {G1,W6,D3,L2,V2,M2} { ! X = skol1( Y ), cp( X ) }.
% 0.55/0.99 parent0[1]: (2875) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cp( X ), cp( Y ) }.
% 0.55/0.99 parent1[0]: (74) {G3,W3,D3,L1,V1,M1} R(28,55) { cp( skol1( X ) ) }.
% 0.55/0.99 substitution0:
% 0.55/0.99 X := skol1( Y )
% 0.55/0.99 Y := X
% 0.55/0.99 end
% 0.55/0.99 substitution1:
% 0.55/0.99 X := Y
% 0.55/0.99 end
% 0.55/0.99
% 0.55/0.99 eqswap: (2877) {G1,W6,D3,L2,V2,M2} { ! skol1( Y ) = X, cp( X ) }.
% 0.55/0.99 parent0[0]: (2876) {G1,W6,D3,L2,V2,M2} { ! X = skol1( Y ), cp( X ) }.
% 0.55/0.99 substitution0:
% 0.55/0.99 X := X
% 0.55/0.99 Y := Y
% 0.55/0.99 end
% 0.55/0.99
% 0.55/0.99 subsumption: (75) {G4,W6,D3,L2,V2,M2} R(74,3) { ! skol1( X ) = Y, cp( Y )
% 0.55/0.99 }.
% 0.55/0.99 parent0: (2877) {G1,W6,D3,L2,V2,M2} { ! skol1( Y ) = X, cp( X ) }.
% 0.55/0.99 substitution0:
% 0.55/0.99 X := Y
% 0.55/0.99 Y := X
% 0.55/0.99 end
% 0.55/0.99 permutation0:
% 0.55/0.99 0 ==> 0
% 0.55/0.99 1 ==> 1
% 0.55/0.99 end
% 0.55/0.99
% 0.55/0.99 eqswap: (2878) {G4,W6,D3,L2,V2,M2} { ! Y = skol1( X ), cp( Y ) }.
% 0.55/0.99 parent0[0]: (75) {G4,W6,D3,L2,V2,M2} R(74,3) { ! skol1( X ) = Y, cp( Y )
% 0.55/0.99 }.
% 0.55/0.99 substitution0:
% 0.55/0.99 X := X
% 0.55/0.99 Y := Y
% 0.55/0.99 end
% 0.55/0.99
% 0.55/0.99 resolution: (2879) {G3,W5,D3,L1,V2,M1} { ! skol3( X ) = skol1( Y ) }.
% 0.55/0.99 parent0[0]: (69) {G2,W3,D3,L1,V1,M1} R(33,59) { ! cp( skol3( X ) ) }.
% 0.55/0.99 parent1[1]: (2878) {G4,W6,D3,L2,V2,M2} { ! Y = skol1( X ), cp( Y ) }.
% 0.55/0.99 substitution0:
% 0.55/0.99 X := X
% 0.55/0.99 end
% 0.55/0.99 substitution1:
% 0.55/0.99 X := Y
% 0.55/0.99 Y := skol3( X )
% 0.55/0.99 end
% 0.55/0.99
% 0.55/0.99 eqswap: (2880) {G3,W5,D3,L1,V2,M1} { ! skol1( Y ) = skol3( X ) }.
% 0.55/0.99 parent0[0]: (2879) {G3,W5,D3,L1,V2,M1} { ! skol3( X ) = skol1( Y ) }.
% 0.55/0.99 substitution0:
% 0.55/0.99 X := X
% 0.55/0.99 Y := Y
% 0.55/0.99 end
% 0.55/0.99
% 0.55/0.99 subsumption: (118) {G5,W5,D3,L1,V2,M1} R(75,69) { ! skol1( X ) = skol3( Y )
% 0.55/1.00 }.
% 0.55/1.00 parent0: (2880) {G3,W5,D3,L1,V2,M1} { ! skol1( Y ) = skol3( X ) }.
% 0.55/1.00 substitution0:
% 0.55/1.00 X := Y
% 0.55/1.00 Y := X
% 0.55/1.00 end
% 0.55/1.00 permutation0:
% 0.55/1.00 0 ==> 0
% 0.55/1.00 end
% 0.55/1.00
% 0.55/1.00 resolution: (2881) {G1,W6,D3,L2,V1,M2} { rf1( X, skol3( X ) ), !
% 0.55/1.00 cUnsatisfiable( X ) }.
% 0.55/1.00 parent0[0]: (34) {G0,W6,D3,L2,V1,M2} I { ! alpha1( X ), rf1( X, skol3( X )
% 0.55/1.00 ) }.
% 0.55/1.00 parent1[1]: (22) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X )
% 0.55/1.00 }.
% 0.55/1.00 substitution0:
% 0.55/1.00 X := X
% 0.55/1.00 end
% 0.55/1.00 substitution1:
% 0.55/1.00 X := X
% 0.55/1.00 end
% 0.55/1.00
% 0.55/1.00 subsumption: (130) {G1,W6,D3,L2,V1,M2} R(34,22) { rf1( X, skol3( X ) ), !
% 0.55/1.00 cUnsatisfiable( X ) }.
% 0.55/1.00 parent0: (2881) {G1,W6,D3,L2,V1,M2} { rf1( X, skol3( X ) ), !
% 0.55/1.00 cUnsatisfiable( X ) }.
% 0.55/1.00 substitution0:
% 0.55/1.00 X := X
% 0.55/1.00 end
% 0.55/1.00 permutation0:
% 0.55/1.00 0 ==> 0
% 0.55/1.00 1 ==> 1
% 0.55/1.00 end
% 0.55/1.00
% 0.55/1.00 resolution: (2882) {G1,W4,D3,L1,V0,M1} { rs( i2003_11_14_17_19_02584,
% 0.55/1.00 skol2( i2003_11_14_17_19_02584 ) ) }.
% 0.55/1.00 parent0[0]: (31) {G0,W6,D3,L2,V1,M2} I { ! alpha3( X ), rs( X, skol2( X ) )
% 0.55/1.00 }.
% 0.55/1.00 parent1[0]: (54) {G2,W2,D2,L1,V0,M1} R(53,25) { alpha3(
% 0.55/1.00 i2003_11_14_17_19_02584 ) }.
% 0.55/1.00 substitution0:
% 0.55/1.00 X := i2003_11_14_17_19_02584
% 0.55/1.00 end
% 0.55/1.00 substitution1:
% 0.55/1.00 end
% 0.55/1.00
% 0.55/1.00 subsumption: (163) {G3,W4,D3,L1,V0,M1} R(31,54) { rs(
% 0.55/1.00 i2003_11_14_17_19_02584, skol2( i2003_11_14_17_19_02584 ) ) }.
% 0.55/1.00 parent0: (2882) {G1,W4,D3,L1,V0,M1} { rs( i2003_11_14_17_19_02584, skol2(
% 0.55/1.00 i2003_11_14_17_19_02584 ) ) }.
% 0.55/1.00 substitution0:
% 0.55/1.00 end
% 0.55/1.00 permutation0:
% 0.55/1.00 0 ==> 0
% 0.55/1.00 end
% 0.55/1.00
% 0.55/1.00 resolution: (2883) {G1,W4,D3,L1,V0,M1} { rf1( i2003_11_14_17_19_02584,
% 0.55/1.00 skol2( i2003_11_14_17_19_02584 ) ) }.
% 0.55/1.00 parent0[0]: (46) {G0,W6,D2,L2,V2,M2} I { ! rs( X, Y ), rf1( X, Y ) }.
% 0.55/1.00 parent1[0]: (163) {G3,W4,D3,L1,V0,M1} R(31,54) { rs(
% 0.55/1.00 i2003_11_14_17_19_02584, skol2( i2003_11_14_17_19_02584 ) ) }.
% 0.55/1.00 substitution0:
% 0.55/1.00 X := i2003_11_14_17_19_02584
% 0.55/1.00 Y := skol2( i2003_11_14_17_19_02584 )
% 0.55/1.00 end
% 0.55/1.00 substitution1:
% 0.55/1.00 end
% 0.55/1.00
% 0.55/1.00 subsumption: (168) {G4,W4,D3,L1,V0,M1} R(163,46) { rf1(
% 0.55/1.00 i2003_11_14_17_19_02584, skol2( i2003_11_14_17_19_02584 ) ) }.
% 0.55/1.00 parent0: (2883) {G1,W4,D3,L1,V0,M1} { rf1( i2003_11_14_17_19_02584, skol2
% 0.55/1.00 ( i2003_11_14_17_19_02584 ) ) }.
% 0.55/1.00 substitution0:
% 0.55/1.00 end
% 0.55/1.00 permutation0:
% 0.55/1.00 0 ==> 0
% 0.55/1.00 end
% 0.55/1.00
% 0.55/1.00 resolution: (2884) {G1,W4,D3,L1,V0,M1} { rf( i2003_11_14_17_19_02584,
% 0.55/1.00 skol2( i2003_11_14_17_19_02584 ) ) }.
% 0.55/1.00 parent0[0]: (47) {G0,W6,D2,L2,V2,M2} I { ! rs( X, Y ), rf( X, Y ) }.
% 0.55/1.00 parent1[0]: (163) {G3,W4,D3,L1,V0,M1} R(31,54) { rs(
% 0.55/1.00 i2003_11_14_17_19_02584, skol2( i2003_11_14_17_19_02584 ) ) }.
% 0.55/1.00 substitution0:
% 0.55/1.00 X := i2003_11_14_17_19_02584
% 0.55/1.00 Y := skol2( i2003_11_14_17_19_02584 )
% 0.55/1.00 end
% 0.55/1.00 substitution1:
% 0.55/1.00 end
% 0.55/1.00
% 0.55/1.00 subsumption: (169) {G4,W4,D3,L1,V0,M1} R(163,47) { rf(
% 0.55/1.00 i2003_11_14_17_19_02584, skol2( i2003_11_14_17_19_02584 ) ) }.
% 0.55/1.00 parent0: (2884) {G1,W4,D3,L1,V0,M1} { rf( i2003_11_14_17_19_02584, skol2(
% 0.55/1.00 i2003_11_14_17_19_02584 ) ) }.
% 0.55/1.00 substitution0:
% 0.55/1.00 end
% 0.55/1.00 permutation0:
% 0.55/1.00 0 ==> 0
% 0.55/1.00 end
% 0.55/1.00
% 0.55/1.00 resolution: (2885) {G1,W4,D3,L1,V0,M1} { rf( i2003_11_14_17_19_02584,
% 0.55/1.00 skol1( i2003_11_14_17_19_02584 ) ) }.
% 0.55/1.00 parent0[0]: (29) {G0,W6,D3,L2,V1,M2} I { ! alpha4( X ), rf( X, skol1( X ) )
% 0.55/1.00 }.
% 0.55/1.00 parent1[0]: (55) {G2,W2,D2,L1,V0,M1} R(53,26) { alpha4(
% 0.55/1.00 i2003_11_14_17_19_02584 ) }.
% 0.55/1.00 substitution0:
% 0.55/1.00 X := i2003_11_14_17_19_02584
% 0.55/1.00 end
% 0.55/1.00 substitution1:
% 0.55/1.00 end
% 0.55/1.00
% 0.55/1.00 subsumption: (269) {G3,W4,D3,L1,V0,M1} R(29,55) { rf(
% 0.55/1.00 i2003_11_14_17_19_02584, skol1( i2003_11_14_17_19_02584 ) ) }.
% 0.55/1.00 parent0: (2885) {G1,W4,D3,L1,V0,M1} { rf( i2003_11_14_17_19_02584, skol1(
% 0.55/1.00 i2003_11_14_17_19_02584 ) ) }.
% 0.55/1.00 substitution0:
% 0.55/1.00 end
% 0.55/1.00 permutation0:
% 0.55/1.00 0 ==> 0
% 0.55/1.00 end
% 0.55/1.00
% 0.55/1.00 resolution: (2886) {G1,W7,D3,L2,V1,M2} { ! rf( i2003_11_14_17_19_02584, X
% 0.55/1.00 ), skol1( i2003_11_14_17_19_02584 ) = X }.
% 0.55/1.00 parent0[0]: (36) {G0,W9,D2,L3,V3,M3} I { ! rf( Z, X ), ! rf( Z, Y ), X = Y
% 0.55/1.00 }.
% 0.55/1.00 parent1[0]: (269) {G3,W4,D3,L1,V0,M1} R(29,55) { rf(
% 0.55/1.00 i2003_11_14_17_19_02584, skol1( i2003_11_14_17_19_02584 ) ) }.
% 0.55/1.00 substitution0:
% 0.55/1.00 X := skol1( i2003_11_14_17_19_02584 )
% 0.55/1.00 Y := X
% 0.55/1.00 Z := i2003_11_14_17_19_02584
% 0.55/1.00 end
% 0.55/1.00 substitution1:
% 0.55/1.00 end
% 0.55/1.00
% 0.55/1.00 subsumption: (352) {G4,W7,D3,L2,V1,M2} R(36,269) { ! rf(
% 0.55/1.00 i2003_11_14_17_19_02584, X ), skol1( i2003_11_14_17_19_02584 ) = X }.
% 0.55/1.00 parent0: (2886) {G1,W7,D3,L2,V1,M2} { ! rf( i2003_11_14_17_19_02584, X ),
% 0.55/1.00 skol1( i2003_11_14_17_19_02584 ) = X }.
% 0.55/1.00 substitution0:
% 0.55/1.00 X := X
% 0.55/1.00 end
% 0.55/1.00 permutation0:
% 0.55/1.00 0 ==> 0
% 0.55/1.00 1 ==> 1
% 0.55/1.00 end
% 0.55/1.00
% 0.55/1.00 resolution: (2888) {G1,W7,D3,L2,V1,M2} { ! rf1( i2003_11_14_17_19_02584, X
% 0.55/1.00 ), skol2( i2003_11_14_17_19_02584 ) = X }.
% 0.55/1.00 parent0[0]: (37) {G0,W9,D2,L3,V3,M3} I { ! rf1( Z, X ), ! rf1( Z, Y ), X =
% 0.55/1.00 Y }.
% 0.55/1.00 parent1[0]: (168) {G4,W4,D3,L1,V0,M1} R(163,46) { rf1(
% 0.55/1.00 i2003_11_14_17_19_02584, skol2( i2003_11_14_17_19_02584 ) ) }.
% 0.55/1.00 substitution0:
% 0.55/1.00 X := skol2( i2003_11_14_17_19_02584 )
% 0.55/1.00 Y := X
% 0.55/1.00 Z := i2003_11_14_17_19_02584
% 0.55/1.00 end
% 0.55/1.00 substitution1:
% 0.55/1.00 end
% 0.55/1.00
% 0.55/1.00 subsumption: (473) {G5,W7,D3,L2,V1,M2} R(37,168) { ! rf1(
% 0.55/1.00 i2003_11_14_17_19_02584, X ), skol2( i2003_11_14_17_19_02584 ) = X }.
% 0.55/1.00 parent0: (2888) {G1,W7,D3,L2,V1,M2} { ! rf1( i2003_11_14_17_19_02584, X )
% 0.55/1.00 , skol2( i2003_11_14_17_19_02584 ) = X }.
% 0.55/1.00 substitution0:
% 0.55/1.00 X := X
% 0.55/1.00 end
% 0.55/1.00 permutation0:
% 0.55/1.00 0 ==> 0
% 0.55/1.00 1 ==> 1
% 0.55/1.00 end
% 0.55/1.00
% 0.55/1.00 eqswap: (2890) {G5,W7,D3,L2,V1,M2} { X = skol2( i2003_11_14_17_19_02584 )
% 0.55/1.00 , ! rf1( i2003_11_14_17_19_02584, X ) }.
% 0.55/1.00 parent0[1]: (473) {G5,W7,D3,L2,V1,M2} R(37,168) { ! rf1(
% 0.55/1.00 i2003_11_14_17_19_02584, X ), skol2( i2003_11_14_17_19_02584 ) = X }.
% 0.55/1.00 substitution0:
% 0.55/1.00 X := X
% 0.55/1.00 end
% 0.55/1.00
% 0.55/1.00 resolution: (2891) {G2,W7,D3,L2,V0,M2} { skol3( i2003_11_14_17_19_02584 )
% 0.55/1.00 = skol2( i2003_11_14_17_19_02584 ), ! cUnsatisfiable(
% 0.55/1.00 i2003_11_14_17_19_02584 ) }.
% 0.55/1.00 parent0[1]: (2890) {G5,W7,D3,L2,V1,M2} { X = skol2(
% 0.55/1.00 i2003_11_14_17_19_02584 ), ! rf1( i2003_11_14_17_19_02584, X ) }.
% 0.55/1.00 parent1[0]: (130) {G1,W6,D3,L2,V1,M2} R(34,22) { rf1( X, skol3( X ) ), !
% 0.55/1.00 cUnsatisfiable( X ) }.
% 0.55/1.00 substitution0:
% 0.55/1.00 X := skol3( i2003_11_14_17_19_02584 )
% 0.55/1.00 end
% 0.55/1.00 substitution1:
% 0.55/1.00 X := i2003_11_14_17_19_02584
% 0.55/1.00 end
% 0.55/1.00
% 0.55/1.00 resolution: (2892) {G1,W5,D3,L1,V0,M1} { skol3( i2003_11_14_17_19_02584 )
% 0.55/1.00 = skol2( i2003_11_14_17_19_02584 ) }.
% 0.55/1.00 parent0[1]: (2891) {G2,W7,D3,L2,V0,M2} { skol3( i2003_11_14_17_19_02584 )
% 0.55/1.00 = skol2( i2003_11_14_17_19_02584 ), ! cUnsatisfiable(
% 0.55/1.00 i2003_11_14_17_19_02584 ) }.
% 0.55/1.00 parent1[0]: (45) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 0.55/1.00 i2003_11_14_17_19_02584 ) }.
% 0.55/1.00 substitution0:
% 0.55/1.00 end
% 0.55/1.00 substitution1:
% 0.55/1.00 end
% 0.55/1.00
% 0.55/1.00 subsumption: (1471) {G6,W5,D3,L1,V0,M1} R(473,130);r(45) { skol3(
% 0.55/1.00 i2003_11_14_17_19_02584 ) ==> skol2( i2003_11_14_17_19_02584 ) }.
% 0.55/1.00 parent0: (2892) {G1,W5,D3,L1,V0,M1} { skol3( i2003_11_14_17_19_02584 ) =
% 0.55/1.00 skol2( i2003_11_14_17_19_02584 ) }.
% 0.55/1.00 substitution0:
% 0.55/1.00 end
% 0.55/1.00 permutation0:
% 0.55/1.00 0 ==> 0
% 0.55/1.00 end
% 0.55/1.00
% 0.55/1.00 eqswap: (2895) {G5,W5,D3,L1,V2,M1} { ! skol3( Y ) = skol1( X ) }.
% 0.55/1.00 parent0[0]: (118) {G5,W5,D3,L1,V2,M1} R(75,69) { ! skol1( X ) = skol3( Y )
% 0.55/1.00 }.
% 0.55/1.00 substitution0:
% 0.55/1.00 X := X
% 0.55/1.00 Y := Y
% 0.55/1.00 end
% 0.55/1.00
% 0.55/1.00 paramod: (2896) {G6,W5,D3,L1,V1,M1} { ! skol2( i2003_11_14_17_19_02584 ) =
% 0.55/1.00 skol1( X ) }.
% 0.55/1.00 parent0[0]: (1471) {G6,W5,D3,L1,V0,M1} R(473,130);r(45) { skol3(
% 0.55/1.00 i2003_11_14_17_19_02584 ) ==> skol2( i2003_11_14_17_19_02584 ) }.
% 0.55/1.00 parent1[0; 2]: (2895) {G5,W5,D3,L1,V2,M1} { ! skol3( Y ) = skol1( X ) }.
% 0.55/1.00 substitution0:
% 0.55/1.00 end
% 0.55/1.00 substitution1:
% 0.55/1.00 X := X
% 0.55/1.00 Y := i2003_11_14_17_19_02584
% 0.55/1.00 end
% 0.55/1.00
% 0.55/1.00 eqswap: (2897) {G6,W5,D3,L1,V1,M1} { ! skol1( X ) = skol2(
% 0.55/1.00 i2003_11_14_17_19_02584 ) }.
% 0.55/1.00 parent0[0]: (2896) {G6,W5,D3,L1,V1,M1} { ! skol2( i2003_11_14_17_19_02584
% 0.55/1.00 ) = skol1( X ) }.
% 0.55/1.00 substitution0:
% 0.55/1.00 X := X
% 0.55/1.00 end
% 0.55/1.00
% 0.55/1.00 subsumption: (1622) {G7,W5,D3,L1,V1,M1} P(1471,118) { ! skol1( X ) = skol2
% 0.55/1.00 ( i2003_11_14_17_19_02584 ) }.
% 0.55/1.00 parent0: (2897) {G6,W5,D3,L1,V1,M1} { ! skol1( X ) = skol2(
% 0.55/1.00 i2003_11_14_17_19_02584 ) }.
% 0.55/1.00 substitution0:
% 0.55/1.00 X := X
% 0.55/1.00 end
% 0.55/1.00 permutation0:
% 0.55/1.00 0 ==> 0
% 0.55/1.00 end
% 0.55/1.00
% 0.55/1.00 eqswap: (2898) {G4,W7,D3,L2,V1,M2} { X = skol1( i2003_11_14_17_19_02584 )
% 0.55/1.00 , ! rf( i2003_11_14_17_19_02584, X ) }.
% 0.55/1.00 parent0[1]: (352) {G4,W7,D3,L2,V1,M2} R(36,269) { ! rf(
% 0.55/1.00 i2003_11_14_17_19_02584, X ), skol1( i2003_11_14_17_19_02584 ) = X }.
% 0.55/1.00 substitution0:
% 0.55/1.00 X := X
% 0.55/1.00 end
% 0.55/1.00
% 0.55/1.00 eqswap: (2899) {G7,W5,D3,L1,V1,M1} { ! skol2( i2003_11_14_17_19_02584 ) =
% 0.55/1.00 skol1( X ) }.
% 0.55/1.00 parent0[0]: (1622) {G7,W5,D3,L1,V1,M1} P(1471,118) { ! skol1( X ) = skol2(
% 0.55/1.00 i2003_11_14_17_19_02584 ) }.
% 0.55/1.00 substitution0:
% 0.55/1.00 X := X
% 0.55/1.00 end
% 0.55/1.00
% 0.55/1.00 resolution: (2900) {G5,W4,D3,L1,V0,M1} { ! rf( i2003_11_14_17_19_02584,
% 0.55/1.00 skol2( i2003_11_14_17_19_02584 ) ) }.
% 0.55/1.00 parent0[0]: (2899) {G7,W5,D3,L1,V1,M1} { ! skol2( i2003_11_14_17_19_02584
% 0.55/1.00 ) = skol1( X ) }.
% 0.55/1.00 parent1[0]: (2898) {G4,W7,D3,L2,V1,M2} { X = skol1(
% 0.55/1.00 i2003_11_14_17_19_02584 ), ! rf( i2003_11_14_17_19_02584, X ) }.
% 0.55/1.00 substitution0:
% 0.55/1.00 X := i2003_11_14_17_19_02584
% 0.55/1.00 end
% 0.55/1.00 substitution1:
% 0.55/1.00 X := skol2( i2003_11_14_17_19_02584 )
% 0.55/1.00 end
% 0.55/1.00
% 0.55/1.00 resolution: (2901) {G5,W0,D0,L0,V0,M0} { }.
% 0.55/1.00 parent0[0]: (2900) {G5,W4,D3,L1,V0,M1} { ! rf( i2003_11_14_17_19_02584,
% 0.55/1.00 skol2( i2003_11_14_17_19_02584 ) ) }.
% 0.55/1.00 parent1[0]: (169) {G4,W4,D3,L1,V0,M1} R(163,47) { rf(
% 0.55/1.00 i2003_11_14_17_19_02584, skol2( i2003_11_14_17_19_02584 ) ) }.
% 0.55/1.00 substitution0:
% 0.55/1.00 end
% 0.55/1.00 substitution1:
% 0.55/1.00 end
% 0.55/1.00
% 0.55/1.00 subsumption: (2550) {G8,W0,D0,L0,V0,M0} R(352,1622);r(169) { }.
% 0.55/1.00 parent0: (2901) {G5,W0,D0,L0,V0,M0} { }.
% 0.55/1.00 substitution0:
% 0.55/1.00 end
% 0.55/1.00 permutation0:
% 0.55/1.00 end
% 0.55/1.00
% 0.55/1.00 Proof check complete!
% 0.55/1.00
% 0.55/1.00 Memory use:
% 0.55/1.00
% 0.55/1.00 space for terms: 33094
% 0.55/1.00 space for clauses: 96772
% 0.55/1.00
% 0.55/1.00
% 0.55/1.00 clauses generated: 8049
% 0.55/1.00 clauses kept: 2551
% 0.55/1.00 clauses selected: 229
% 0.55/1.00 clauses deleted: 15
% 0.55/1.00 clauses inuse deleted: 4
% 0.55/1.00
% 0.55/1.00 subsentry: 28213
% 0.55/1.00 literals s-matched: 20323
% 0.55/1.00 literals matched: 19336
% 0.55/1.00 full subsumption: 10280
% 0.55/1.00
% 0.55/1.00 checksum: -1927975913
% 0.55/1.00
% 0.55/1.00
% 0.55/1.00 Bliksem ended
%------------------------------------------------------------------------------