TSTP Solution File: KRS120+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : KRS120+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.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 02:42:20 EDT 2022
% Result : Unsatisfiable 0.48s 1.05s
% Output : Refutation 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : KRS120+1 : TPTP v8.1.0. Released v3.1.0.
% 0.00/0.08 % Command : bliksem %s
% 0.07/0.26 % Computer : n029.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % DateTime : Tue Jun 7 17:14:20 EDT 2022
% 0.07/0.27 % CPUTime :
% 0.48/1.05 *** allocated 10000 integers for termspace/termends
% 0.48/1.05 *** allocated 10000 integers for clauses
% 0.48/1.05 *** allocated 10000 integers for justifications
% 0.48/1.05 Bliksem 1.12
% 0.48/1.05
% 0.48/1.05
% 0.48/1.05 Automatic Strategy Selection
% 0.48/1.05
% 0.48/1.05
% 0.48/1.05 Clauses:
% 0.48/1.05
% 0.48/1.05 { ! Y = X, ! cUnsatisfiable( Y ), cUnsatisfiable( X ) }.
% 0.48/1.05 { ! Y = X, ! ca_Ax2( Y ), ca_Ax2( X ) }.
% 0.48/1.05 { ! Y = X, ! ca_Vx3( Y ), ca_Vx3( X ) }.
% 0.48/1.05 { ! Y = X, ! cowlNothing( Y ), cowlNothing( X ) }.
% 0.48/1.05 { ! Y = X, ! cowlThing( Y ), cowlThing( X ) }.
% 0.48/1.05 { ! Y = X, ! cp1( Y ), cp1( X ) }.
% 0.48/1.05 { ! Y = X, ! cp1xcomp( Y ), cp1xcomp( X ) }.
% 0.48/1.05 { ! Z = X, ! ra_Px1( Z, Y ), ra_Px1( X, Y ) }.
% 0.48/1.05 { ! Z = X, ! ra_Px1( Y, Z ), ra_Px1( Y, X ) }.
% 0.48/1.05 { ! Z = X, ! rf( Z, Y ), rf( X, Y ) }.
% 0.48/1.05 { ! Z = X, ! rf( Y, Z ), rf( Y, X ) }.
% 0.48/1.05 { ! Z = X, ! rinvF( Z, Y ), rinvF( X, Y ) }.
% 0.48/1.05 { ! Z = X, ! rinvF( Y, Z ), rinvF( Y, X ) }.
% 0.48/1.05 { ! Z = X, ! rinvR( Z, Y ), rinvR( X, Y ) }.
% 0.48/1.05 { ! Z = X, ! rinvR( Y, Z ), rinvR( Y, X ) }.
% 0.48/1.05 { ! Z = X, ! rr( Z, Y ), rr( X, Y ) }.
% 0.48/1.05 { ! Z = X, ! rr( Y, Z ), rr( Y, X ) }.
% 0.48/1.05 { ! Y = X, ! xsd_integer( Y ), xsd_integer( X ) }.
% 0.48/1.05 { ! Y = X, ! xsd_string( Y ), xsd_string( X ) }.
% 0.48/1.05 { cowlThing( X ) }.
% 0.48/1.05 { ! cowlNothing( X ) }.
% 0.48/1.05 { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.48/1.05 { xsd_integer( X ), xsd_string( X ) }.
% 0.48/1.05 { ! cUnsatisfiable( X ), ca_Ax2( skol1( Y ) ) }.
% 0.48/1.05 { ! cUnsatisfiable( X ), rf( X, skol1( X ) ) }.
% 0.48/1.05 { ! rf( X, Y ), ! ca_Ax2( Y ), cUnsatisfiable( X ) }.
% 0.48/1.05 { ! cp1( X ), ! ra_Px1( X, Y ) }.
% 0.48/1.05 { ra_Px1( X, skol2( X ) ), cp1( X ) }.
% 0.48/1.05 { ! cp1xcomp( X ), ra_Px1( X, skol3( X ) ) }.
% 0.48/1.05 { ! ra_Px1( X, Y ), cp1xcomp( X ) }.
% 0.48/1.05 { ! ca_Ax2( X ), alpha1( X ) }.
% 0.48/1.05 { ! ca_Ax2( X ), cp1( X ) }.
% 0.48/1.05 { ! alpha1( X ), ! cp1( X ), ca_Ax2( X ) }.
% 0.48/1.05 { ! alpha1( X ), ca_Vx3( skol4( Y ) ) }.
% 0.48/1.05 { ! alpha1( X ), rinvF( X, skol4( X ) ) }.
% 0.48/1.05 { ! rinvF( X, Y ), ! ca_Vx3( Y ), alpha1( X ) }.
% 0.48/1.05 { ! ca_Vx3( X ), cp1xcomp( skol5( Y ) ) }.
% 0.48/1.05 { ! ca_Vx3( X ), rf( X, skol5( X ) ) }.
% 0.48/1.05 { ! rf( X, Y ), ! cp1xcomp( Y ), ca_Vx3( X ) }.
% 0.48/1.05 { ! cowlThing( X ), ! rf( X, Y ), ! rf( X, Z ), Y = Z }.
% 0.48/1.05 { ! rinvF( X, Y ), rf( Y, X ) }.
% 0.48/1.05 { ! rf( Y, X ), rinvF( X, Y ) }.
% 0.48/1.05 { ! rinvR( X, Y ), rr( Y, X ) }.
% 0.48/1.05 { ! rr( Y, X ), rinvR( X, Y ) }.
% 0.48/1.05 { ! rr( X, Z ), ! rr( Z, Y ), rr( X, Y ) }.
% 0.48/1.05 { cUnsatisfiable( i2003_11_14_17_21_48796 ) }.
% 0.48/1.05
% 0.48/1.05 percentage equality = 0.173913, percentage horn = 0.956522
% 0.48/1.05 This is a problem with some equality
% 0.48/1.05
% 0.48/1.05
% 0.48/1.05
% 0.48/1.05 Options Used:
% 0.48/1.05
% 0.48/1.05 useres = 1
% 0.48/1.05 useparamod = 1
% 0.48/1.05 useeqrefl = 1
% 0.48/1.05 useeqfact = 1
% 0.48/1.05 usefactor = 1
% 0.48/1.05 usesimpsplitting = 0
% 0.48/1.05 usesimpdemod = 5
% 0.48/1.05 usesimpres = 3
% 0.48/1.05
% 0.48/1.05 resimpinuse = 1000
% 0.48/1.05 resimpclauses = 20000
% 0.48/1.05 substype = eqrewr
% 0.48/1.05 backwardsubs = 1
% 0.48/1.05 selectoldest = 5
% 0.48/1.05
% 0.48/1.05 litorderings [0] = split
% 0.48/1.05 litorderings [1] = extend the termordering, first sorting on arguments
% 0.48/1.05
% 0.48/1.05 termordering = kbo
% 0.48/1.05
% 0.48/1.05 litapriori = 0
% 0.48/1.05 termapriori = 1
% 0.48/1.05 litaposteriori = 0
% 0.48/1.05 termaposteriori = 0
% 0.48/1.05 demodaposteriori = 0
% 0.48/1.05 ordereqreflfact = 0
% 0.48/1.05
% 0.48/1.05 litselect = negord
% 0.48/1.05
% 0.48/1.05 maxweight = 15
% 0.48/1.05 maxdepth = 30000
% 0.48/1.05 maxlength = 115
% 0.48/1.05 maxnrvars = 195
% 0.48/1.05 excuselevel = 1
% 0.48/1.05 increasemaxweight = 1
% 0.48/1.05
% 0.48/1.05 maxselected = 10000000
% 0.48/1.05 maxnrclauses = 10000000
% 0.48/1.05
% 0.48/1.05 showgenerated = 0
% 0.48/1.05 showkept = 0
% 0.48/1.05 showselected = 0
% 0.48/1.05 showdeleted = 0
% 0.48/1.05 showresimp = 1
% 0.48/1.05 showstatus = 2000
% 0.48/1.05
% 0.48/1.05 prologoutput = 0
% 0.48/1.05 nrgoals = 5000000
% 0.48/1.05 totalproof = 1
% 0.48/1.05
% 0.48/1.05 Symbols occurring in the translation:
% 0.48/1.05
% 0.48/1.05 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.48/1.05 . [1, 2] (w:1, o:35, a:1, s:1, b:0),
% 0.48/1.05 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.48/1.05 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.48/1.05 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.48/1.05 cUnsatisfiable [37, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.48/1.05 ca_Ax2 [38, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.48/1.05 ca_Vx3 [39, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.48/1.05 cowlNothing [40, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.48/1.05 cowlThing [41, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.48/1.05 cp1 [42, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.48/1.05 cp1xcomp [43, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.48/1.05 ra_Px1 [45, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.48/1.05 rf [46, 2] (w:1, o:60, a:1, s:1, b:0),
% 0.48/1.05 rinvF [47, 2] (w:1, o:61, a:1, s:1, b:0),
% 0.48/1.05 rinvR [48, 2] (w:1, o:62, a:1, s:1, b:0),
% 0.48/1.05 rr [49, 2] (w:1, o:63, a:1, s:1, b:0),
% 0.48/1.05 xsd_integer [50, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.48/1.05 xsd_string [51, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.48/1.05 i2003_11_14_17_21_48796 [57, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.48/1.05 alpha1 [58, 1] (w:1, o:29, a:1, s:1, b:1),
% 0.48/1.05 skol1 [59, 1] (w:1, o:30, a:1, s:1, b:1),
% 0.48/1.05 skol2 [60, 1] (w:1, o:31, a:1, s:1, b:1),
% 0.48/1.05 skol3 [61, 1] (w:1, o:32, a:1, s:1, b:1),
% 0.48/1.05 skol4 [62, 1] (w:1, o:33, a:1, s:1, b:1),
% 0.48/1.05 skol5 [63, 1] (w:1, o:34, a:1, s:1, b:1).
% 0.48/1.05
% 0.48/1.05
% 0.48/1.05 Starting Search:
% 0.48/1.05
% 0.48/1.05 *** allocated 15000 integers for clauses
% 0.48/1.05 *** allocated 22500 integers for clauses
% 0.48/1.05 *** allocated 33750 integers for clauses
% 0.48/1.05 *** allocated 15000 integers for termspace/termends
% 0.48/1.05 *** allocated 50625 integers for clauses
% 0.48/1.05 Resimplifying inuse:
% 0.48/1.05 Done
% 0.48/1.05
% 0.48/1.05 *** allocated 22500 integers for termspace/termends
% 0.48/1.05 *** allocated 75937 integers for clauses
% 0.48/1.05 *** allocated 33750 integers for termspace/termends
% 0.48/1.05
% 0.48/1.05 Intermediate Status:
% 0.48/1.05 Generated: 8335
% 0.48/1.05 Kept: 2008
% 0.48/1.05 Inuse: 249
% 0.48/1.05 Deleted: 20
% 0.48/1.05 Deletedinuse: 6
% 0.48/1.05
% 0.48/1.05 *** allocated 113905 integers for clauses
% 0.48/1.05 Resimplifying inuse:
% 0.48/1.05 Done
% 0.48/1.05
% 0.48/1.05 *** allocated 50625 integers for termspace/termends
% 0.48/1.05
% 0.48/1.05 Bliksems!, er is een bewijs:
% 0.48/1.05 % SZS status Unsatisfiable
% 0.48/1.05 % SZS output start Refutation
% 0.48/1.05
% 0.48/1.05 (6) {G0,W7,D2,L3,V2,M3} I { ! Y = X, ! cp1xcomp( Y ), cp1xcomp( X ) }.
% 0.48/1.05 (19) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 0.48/1.05 (23) {G0,W5,D3,L2,V2,M2} I { ! cUnsatisfiable( X ), ca_Ax2( skol1( Y ) )
% 0.48/1.05 }.
% 0.48/1.05 (26) {G0,W5,D2,L2,V2,M2} I { ! cp1( X ), ! ra_Px1( X, Y ) }.
% 0.48/1.05 (28) {G0,W6,D3,L2,V1,M2} I { ! cp1xcomp( X ), ra_Px1( X, skol3( X ) ) }.
% 0.48/1.05 (30) {G0,W4,D2,L2,V1,M2} I { ! ca_Ax2( X ), alpha1( X ) }.
% 0.48/1.05 (31) {G0,W4,D2,L2,V1,M2} I { ! ca_Ax2( X ), cp1( X ) }.
% 0.48/1.05 (33) {G0,W5,D3,L2,V2,M2} I { ! alpha1( X ), ca_Vx3( skol4( Y ) ) }.
% 0.48/1.05 (34) {G0,W6,D3,L2,V1,M2} I { ! alpha1( X ), rinvF( X, skol4( X ) ) }.
% 0.48/1.05 (36) {G0,W5,D3,L2,V2,M2} I { ! ca_Vx3( X ), cp1xcomp( skol5( Y ) ) }.
% 0.48/1.05 (37) {G0,W6,D3,L2,V1,M2} I { ! ca_Vx3( X ), rf( X, skol5( X ) ) }.
% 0.48/1.05 (39) {G1,W9,D2,L3,V3,M3} I;r(19) { ! rf( X, Y ), ! rf( X, Z ), Y = Z }.
% 0.48/1.05 (40) {G0,W6,D2,L2,V2,M2} I { ! rinvF( X, Y ), rf( Y, X ) }.
% 0.48/1.05 (45) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( i2003_11_14_17_21_48796 ) }.
% 0.48/1.05 (48) {G1,W5,D2,L2,V2,M2} R(26,31) { ! ra_Px1( X, Y ), ! ca_Ax2( X ) }.
% 0.48/1.05 (54) {G1,W5,D3,L2,V2,M2} R(33,36) { ! alpha1( X ), cp1xcomp( skol5( Y ) )
% 0.48/1.05 }.
% 0.48/1.05 (55) {G1,W5,D3,L2,V2,M2} R(33,30) { ca_Vx3( skol4( X ) ), ! ca_Ax2( Y ) }.
% 0.48/1.05 (58) {G2,W5,D3,L2,V2,M2} R(54,30) { cp1xcomp( skol5( X ) ), ! ca_Ax2( Y )
% 0.48/1.05 }.
% 0.48/1.05 (67) {G1,W3,D3,L1,V1,M1} R(23,45) { ca_Ax2( skol1( X ) ) }.
% 0.48/1.05 (68) {G2,W3,D3,L1,V1,M1} R(67,55) { ca_Vx3( skol4( X ) ) }.
% 0.48/1.05 (69) {G3,W3,D3,L1,V1,M1} R(67,58) { cp1xcomp( skol5( X ) ) }.
% 0.48/1.05 (70) {G2,W4,D3,L1,V2,M1} R(67,48) { ! ra_Px1( skol1( X ), Y ) }.
% 0.48/1.05 (72) {G2,W3,D3,L1,V1,M1} R(67,30) { alpha1( skol1( X ) ) }.
% 0.48/1.05 (79) {G4,W6,D3,L2,V2,M2} R(6,69) { ! skol5( X ) = Y, cp1xcomp( Y ) }.
% 0.48/1.05 (95) {G3,W6,D4,L1,V1,M1} R(37,68) { rf( skol4( X ), skol5( skol4( X ) ) )
% 0.48/1.05 }.
% 0.48/1.05 (105) {G1,W6,D3,L2,V1,M2} R(34,40) { ! alpha1( X ), rf( skol4( X ), X ) }.
% 0.48/1.05 (110) {G3,W6,D4,L1,V1,M1} R(105,72) { rf( skol4( skol1( X ) ), skol1( X ) )
% 0.48/1.05 }.
% 0.48/1.05 (127) {G3,W3,D3,L1,V1,M1} R(28,70) { ! cp1xcomp( skol1( X ) ) }.
% 0.48/1.05 (132) {G5,W5,D3,L1,V2,M1} R(127,79) { ! skol5( X ) = skol1( Y ) }.
% 0.48/1.05 (334) {G6,W8,D3,L2,V3,M2} R(39,132) { ! rf( X, skol5( Y ) ), ! rf( X, skol1
% 0.48/1.05 ( Z ) ) }.
% 0.48/1.05 (2703) {G7,W5,D3,L1,V2,M1} R(334,95) { ! rf( skol4( X ), skol1( Y ) ) }.
% 0.48/1.05 (2719) {G8,W0,D0,L0,V0,M0} R(2703,110) { }.
% 0.48/1.05
% 0.48/1.05
% 0.48/1.05 % SZS output end Refutation
% 0.48/1.05 found a proof!
% 0.48/1.05
% 0.48/1.05
% 0.48/1.05 Unprocessed initial clauses:
% 0.48/1.05
% 0.48/1.05 (2721) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cUnsatisfiable( Y ),
% 0.48/1.05 cUnsatisfiable( X ) }.
% 0.48/1.05 (2722) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! ca_Ax2( Y ), ca_Ax2( X ) }.
% 0.48/1.05 (2723) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! ca_Vx3( Y ), ca_Vx3( X ) }.
% 0.48/1.05 (2724) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cowlNothing( Y ), cowlNothing( X )
% 0.48/1.05 }.
% 0.48/1.05 (2725) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cowlThing( Y ), cowlThing( X ) }.
% 0.48/1.05 (2726) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cp1( Y ), cp1( X ) }.
% 0.48/1.05 (2727) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cp1xcomp( Y ), cp1xcomp( X ) }.
% 0.48/1.05 (2728) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! ra_Px1( Z, Y ), ra_Px1( X, Y ) }.
% 0.48/1.05 (2729) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! ra_Px1( Y, Z ), ra_Px1( Y, X ) }.
% 0.48/1.05 (2730) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rf( Z, Y ), rf( X, Y ) }.
% 0.48/1.05 (2731) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rf( Y, Z ), rf( Y, X ) }.
% 0.48/1.05 (2732) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvF( Z, Y ), rinvF( X, Y ) }.
% 0.48/1.05 (2733) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvF( Y, Z ), rinvF( Y, X ) }.
% 0.48/1.05 (2734) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvR( Z, Y ), rinvR( X, Y ) }.
% 0.48/1.05 (2735) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvR( Y, Z ), rinvR( Y, X ) }.
% 0.48/1.05 (2736) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rr( Z, Y ), rr( X, Y ) }.
% 0.48/1.05 (2737) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rr( Y, Z ), rr( Y, X ) }.
% 0.48/1.05 (2738) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! xsd_integer( Y ), xsd_integer( X )
% 0.48/1.05 }.
% 0.48/1.05 (2739) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! xsd_string( Y ), xsd_string( X )
% 0.48/1.05 }.
% 0.48/1.05 (2740) {G0,W2,D2,L1,V1,M1} { cowlThing( X ) }.
% 0.48/1.05 (2741) {G0,W2,D2,L1,V1,M1} { ! cowlNothing( X ) }.
% 0.48/1.05 (2742) {G0,W4,D2,L2,V1,M2} { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.48/1.05 (2743) {G0,W4,D2,L2,V1,M2} { xsd_integer( X ), xsd_string( X ) }.
% 0.48/1.05 (2744) {G0,W5,D3,L2,V2,M2} { ! cUnsatisfiable( X ), ca_Ax2( skol1( Y ) )
% 0.48/1.05 }.
% 0.48/1.05 (2745) {G0,W6,D3,L2,V1,M2} { ! cUnsatisfiable( X ), rf( X, skol1( X ) )
% 0.48/1.05 }.
% 0.48/1.05 (2746) {G0,W7,D2,L3,V2,M3} { ! rf( X, Y ), ! ca_Ax2( Y ), cUnsatisfiable(
% 0.48/1.05 X ) }.
% 0.48/1.05 (2747) {G0,W5,D2,L2,V2,M2} { ! cp1( X ), ! ra_Px1( X, Y ) }.
% 0.48/1.05 (2748) {G0,W6,D3,L2,V1,M2} { ra_Px1( X, skol2( X ) ), cp1( X ) }.
% 0.48/1.05 (2749) {G0,W6,D3,L2,V1,M2} { ! cp1xcomp( X ), ra_Px1( X, skol3( X ) ) }.
% 0.48/1.05 (2750) {G0,W5,D2,L2,V2,M2} { ! ra_Px1( X, Y ), cp1xcomp( X ) }.
% 0.48/1.05 (2751) {G0,W4,D2,L2,V1,M2} { ! ca_Ax2( X ), alpha1( X ) }.
% 0.48/1.05 (2752) {G0,W4,D2,L2,V1,M2} { ! ca_Ax2( X ), cp1( X ) }.
% 0.48/1.05 (2753) {G0,W6,D2,L3,V1,M3} { ! alpha1( X ), ! cp1( X ), ca_Ax2( X ) }.
% 0.48/1.05 (2754) {G0,W5,D3,L2,V2,M2} { ! alpha1( X ), ca_Vx3( skol4( Y ) ) }.
% 0.48/1.05 (2755) {G0,W6,D3,L2,V1,M2} { ! alpha1( X ), rinvF( X, skol4( X ) ) }.
% 0.48/1.05 (2756) {G0,W7,D2,L3,V2,M3} { ! rinvF( X, Y ), ! ca_Vx3( Y ), alpha1( X )
% 0.48/1.05 }.
% 0.48/1.05 (2757) {G0,W5,D3,L2,V2,M2} { ! ca_Vx3( X ), cp1xcomp( skol5( Y ) ) }.
% 0.48/1.05 (2758) {G0,W6,D3,L2,V1,M2} { ! ca_Vx3( X ), rf( X, skol5( X ) ) }.
% 0.48/1.05 (2759) {G0,W7,D2,L3,V2,M3} { ! rf( X, Y ), ! cp1xcomp( Y ), ca_Vx3( X )
% 0.48/1.05 }.
% 0.48/1.05 (2760) {G0,W11,D2,L4,V3,M4} { ! cowlThing( X ), ! rf( X, Y ), ! rf( X, Z )
% 0.48/1.05 , Y = Z }.
% 0.48/1.05 (2761) {G0,W6,D2,L2,V2,M2} { ! rinvF( X, Y ), rf( Y, X ) }.
% 0.48/1.05 (2762) {G0,W6,D2,L2,V2,M2} { ! rf( Y, X ), rinvF( X, Y ) }.
% 0.48/1.05 (2763) {G0,W6,D2,L2,V2,M2} { ! rinvR( X, Y ), rr( Y, X ) }.
% 0.48/1.05 (2764) {G0,W6,D2,L2,V2,M2} { ! rr( Y, X ), rinvR( X, Y ) }.
% 0.48/1.05 (2765) {G0,W9,D2,L3,V3,M3} { ! rr( X, Z ), ! rr( Z, Y ), rr( X, Y ) }.
% 0.48/1.05 (2766) {G0,W2,D2,L1,V0,M1} { cUnsatisfiable( i2003_11_14_17_21_48796 ) }.
% 0.48/1.05
% 0.48/1.05
% 0.48/1.05 Total Proof:
% 0.48/1.05
% 0.48/1.05 subsumption: (6) {G0,W7,D2,L3,V2,M3} I { ! Y = X, ! cp1xcomp( Y ), cp1xcomp
% 0.48/1.05 ( X ) }.
% 0.48/1.05 parent0: (2727) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cp1xcomp( Y ), cp1xcomp(
% 0.48/1.05 X ) }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := X
% 0.48/1.05 Y := Y
% 0.48/1.05 end
% 0.48/1.05 permutation0:
% 0.48/1.05 0 ==> 0
% 0.48/1.05 1 ==> 1
% 0.48/1.05 2 ==> 2
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 subsumption: (19) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 0.48/1.05 parent0: (2740) {G0,W2,D2,L1,V1,M1} { cowlThing( X ) }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := X
% 0.48/1.05 end
% 0.48/1.05 permutation0:
% 0.48/1.05 0 ==> 0
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 subsumption: (23) {G0,W5,D3,L2,V2,M2} I { ! cUnsatisfiable( X ), ca_Ax2(
% 0.48/1.05 skol1( Y ) ) }.
% 0.48/1.05 parent0: (2744) {G0,W5,D3,L2,V2,M2} { ! cUnsatisfiable( X ), ca_Ax2( skol1
% 0.48/1.05 ( Y ) ) }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := X
% 0.48/1.05 Y := Y
% 0.48/1.05 end
% 0.48/1.05 permutation0:
% 0.48/1.05 0 ==> 0
% 0.48/1.05 1 ==> 1
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 subsumption: (26) {G0,W5,D2,L2,V2,M2} I { ! cp1( X ), ! ra_Px1( X, Y ) }.
% 0.48/1.05 parent0: (2747) {G0,W5,D2,L2,V2,M2} { ! cp1( X ), ! ra_Px1( X, Y ) }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := X
% 0.48/1.05 Y := Y
% 0.48/1.05 end
% 0.48/1.05 permutation0:
% 0.48/1.05 0 ==> 0
% 0.48/1.05 1 ==> 1
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 subsumption: (28) {G0,W6,D3,L2,V1,M2} I { ! cp1xcomp( X ), ra_Px1( X, skol3
% 0.48/1.05 ( X ) ) }.
% 0.48/1.05 parent0: (2749) {G0,W6,D3,L2,V1,M2} { ! cp1xcomp( X ), ra_Px1( X, skol3( X
% 0.48/1.05 ) ) }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := X
% 0.48/1.05 end
% 0.48/1.05 permutation0:
% 0.48/1.05 0 ==> 0
% 0.48/1.05 1 ==> 1
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 subsumption: (30) {G0,W4,D2,L2,V1,M2} I { ! ca_Ax2( X ), alpha1( X ) }.
% 0.48/1.05 parent0: (2751) {G0,W4,D2,L2,V1,M2} { ! ca_Ax2( X ), alpha1( X ) }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := X
% 0.48/1.05 end
% 0.48/1.05 permutation0:
% 0.48/1.05 0 ==> 0
% 0.48/1.05 1 ==> 1
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 subsumption: (31) {G0,W4,D2,L2,V1,M2} I { ! ca_Ax2( X ), cp1( X ) }.
% 0.48/1.05 parent0: (2752) {G0,W4,D2,L2,V1,M2} { ! ca_Ax2( X ), cp1( X ) }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := X
% 0.48/1.05 end
% 0.48/1.05 permutation0:
% 0.48/1.05 0 ==> 0
% 0.48/1.05 1 ==> 1
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 subsumption: (33) {G0,W5,D3,L2,V2,M2} I { ! alpha1( X ), ca_Vx3( skol4( Y )
% 0.48/1.05 ) }.
% 0.48/1.05 parent0: (2754) {G0,W5,D3,L2,V2,M2} { ! alpha1( X ), ca_Vx3( skol4( Y ) )
% 0.48/1.05 }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := X
% 0.48/1.05 Y := Y
% 0.48/1.05 end
% 0.48/1.05 permutation0:
% 0.48/1.05 0 ==> 0
% 0.48/1.05 1 ==> 1
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 subsumption: (34) {G0,W6,D3,L2,V1,M2} I { ! alpha1( X ), rinvF( X, skol4( X
% 0.48/1.05 ) ) }.
% 0.48/1.05 parent0: (2755) {G0,W6,D3,L2,V1,M2} { ! alpha1( X ), rinvF( X, skol4( X )
% 0.48/1.05 ) }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := X
% 0.48/1.05 end
% 0.48/1.05 permutation0:
% 0.48/1.05 0 ==> 0
% 0.48/1.05 1 ==> 1
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 subsumption: (36) {G0,W5,D3,L2,V2,M2} I { ! ca_Vx3( X ), cp1xcomp( skol5( Y
% 0.48/1.05 ) ) }.
% 0.48/1.05 parent0: (2757) {G0,W5,D3,L2,V2,M2} { ! ca_Vx3( X ), cp1xcomp( skol5( Y )
% 0.48/1.05 ) }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := X
% 0.48/1.05 Y := Y
% 0.48/1.05 end
% 0.48/1.05 permutation0:
% 0.48/1.05 0 ==> 0
% 0.48/1.05 1 ==> 1
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 subsumption: (37) {G0,W6,D3,L2,V1,M2} I { ! ca_Vx3( X ), rf( X, skol5( X )
% 0.48/1.05 ) }.
% 0.48/1.05 parent0: (2758) {G0,W6,D3,L2,V1,M2} { ! ca_Vx3( X ), rf( X, skol5( X ) )
% 0.48/1.05 }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := X
% 0.48/1.05 end
% 0.48/1.05 permutation0:
% 0.48/1.05 0 ==> 0
% 0.48/1.05 1 ==> 1
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 resolution: (2989) {G1,W9,D2,L3,V3,M3} { ! rf( X, Y ), ! rf( X, Z ), Y = Z
% 0.48/1.05 }.
% 0.48/1.05 parent0[0]: (2760) {G0,W11,D2,L4,V3,M4} { ! cowlThing( X ), ! rf( X, Y ),
% 0.48/1.05 ! rf( X, Z ), Y = Z }.
% 0.48/1.05 parent1[0]: (19) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := X
% 0.48/1.05 Y := Y
% 0.48/1.05 Z := Z
% 0.48/1.05 end
% 0.48/1.05 substitution1:
% 0.48/1.05 X := X
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 subsumption: (39) {G1,W9,D2,L3,V3,M3} I;r(19) { ! rf( X, Y ), ! rf( X, Z )
% 0.48/1.05 , Y = Z }.
% 0.48/1.05 parent0: (2989) {G1,W9,D2,L3,V3,M3} { ! rf( X, Y ), ! rf( X, Z ), Y = Z
% 0.48/1.05 }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := X
% 0.48/1.05 Y := Y
% 0.48/1.05 Z := Z
% 0.48/1.05 end
% 0.48/1.05 permutation0:
% 0.48/1.05 0 ==> 0
% 0.48/1.05 1 ==> 1
% 0.48/1.05 2 ==> 2
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 subsumption: (40) {G0,W6,D2,L2,V2,M2} I { ! rinvF( X, Y ), rf( Y, X ) }.
% 0.48/1.05 parent0: (2761) {G0,W6,D2,L2,V2,M2} { ! rinvF( X, Y ), rf( Y, X ) }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := X
% 0.48/1.05 Y := Y
% 0.48/1.05 end
% 0.48/1.05 permutation0:
% 0.48/1.05 0 ==> 0
% 0.48/1.05 1 ==> 1
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 subsumption: (45) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 0.48/1.05 i2003_11_14_17_21_48796 ) }.
% 0.48/1.05 parent0: (2766) {G0,W2,D2,L1,V0,M1} { cUnsatisfiable(
% 0.48/1.05 i2003_11_14_17_21_48796 ) }.
% 0.48/1.05 substitution0:
% 0.48/1.05 end
% 0.48/1.05 permutation0:
% 0.48/1.05 0 ==> 0
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 resolution: (3032) {G1,W5,D2,L2,V2,M2} { ! ra_Px1( X, Y ), ! ca_Ax2( X )
% 0.48/1.05 }.
% 0.48/1.05 parent0[0]: (26) {G0,W5,D2,L2,V2,M2} I { ! cp1( X ), ! ra_Px1( X, Y ) }.
% 0.48/1.05 parent1[1]: (31) {G0,W4,D2,L2,V1,M2} I { ! ca_Ax2( X ), cp1( X ) }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := X
% 0.48/1.05 Y := Y
% 0.48/1.05 end
% 0.48/1.05 substitution1:
% 0.48/1.05 X := X
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 subsumption: (48) {G1,W5,D2,L2,V2,M2} R(26,31) { ! ra_Px1( X, Y ), ! ca_Ax2
% 0.48/1.05 ( X ) }.
% 0.48/1.05 parent0: (3032) {G1,W5,D2,L2,V2,M2} { ! ra_Px1( X, Y ), ! ca_Ax2( X ) }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := X
% 0.48/1.05 Y := Y
% 0.48/1.05 end
% 0.48/1.05 permutation0:
% 0.48/1.05 0 ==> 0
% 0.48/1.05 1 ==> 1
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 resolution: (3033) {G1,W5,D3,L2,V2,M2} { cp1xcomp( skol5( Y ) ), ! alpha1
% 0.48/1.05 ( Z ) }.
% 0.48/1.05 parent0[0]: (36) {G0,W5,D3,L2,V2,M2} I { ! ca_Vx3( X ), cp1xcomp( skol5( Y
% 0.48/1.05 ) ) }.
% 0.48/1.05 parent1[1]: (33) {G0,W5,D3,L2,V2,M2} I { ! alpha1( X ), ca_Vx3( skol4( Y )
% 0.48/1.05 ) }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := skol4( X )
% 0.48/1.05 Y := Y
% 0.48/1.05 end
% 0.48/1.05 substitution1:
% 0.48/1.05 X := Z
% 0.48/1.05 Y := X
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 subsumption: (54) {G1,W5,D3,L2,V2,M2} R(33,36) { ! alpha1( X ), cp1xcomp(
% 0.48/1.05 skol5( Y ) ) }.
% 0.48/1.05 parent0: (3033) {G1,W5,D3,L2,V2,M2} { cp1xcomp( skol5( Y ) ), ! alpha1( Z
% 0.48/1.05 ) }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := Z
% 0.48/1.05 Y := Y
% 0.48/1.05 Z := X
% 0.48/1.05 end
% 0.48/1.05 permutation0:
% 0.48/1.05 0 ==> 1
% 0.48/1.05 1 ==> 0
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 resolution: (3034) {G1,W5,D3,L2,V2,M2} { ca_Vx3( skol4( Y ) ), ! ca_Ax2( X
% 0.48/1.05 ) }.
% 0.48/1.05 parent0[0]: (33) {G0,W5,D3,L2,V2,M2} I { ! alpha1( X ), ca_Vx3( skol4( Y )
% 0.48/1.05 ) }.
% 0.48/1.05 parent1[1]: (30) {G0,W4,D2,L2,V1,M2} I { ! ca_Ax2( X ), alpha1( X ) }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := X
% 0.48/1.05 Y := Y
% 0.48/1.05 end
% 0.48/1.05 substitution1:
% 0.48/1.05 X := X
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 subsumption: (55) {G1,W5,D3,L2,V2,M2} R(33,30) { ca_Vx3( skol4( X ) ), !
% 0.48/1.05 ca_Ax2( Y ) }.
% 0.48/1.05 parent0: (3034) {G1,W5,D3,L2,V2,M2} { ca_Vx3( skol4( Y ) ), ! ca_Ax2( X )
% 0.48/1.05 }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := Y
% 0.48/1.05 Y := X
% 0.48/1.05 end
% 0.48/1.05 permutation0:
% 0.48/1.05 0 ==> 0
% 0.48/1.05 1 ==> 1
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 resolution: (3035) {G1,W5,D3,L2,V2,M2} { cp1xcomp( skol5( Y ) ), ! ca_Ax2
% 0.48/1.05 ( X ) }.
% 0.48/1.05 parent0[0]: (54) {G1,W5,D3,L2,V2,M2} R(33,36) { ! alpha1( X ), cp1xcomp(
% 0.48/1.05 skol5( Y ) ) }.
% 0.48/1.05 parent1[1]: (30) {G0,W4,D2,L2,V1,M2} I { ! ca_Ax2( X ), alpha1( X ) }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := X
% 0.48/1.05 Y := Y
% 0.48/1.05 end
% 0.48/1.05 substitution1:
% 0.48/1.05 X := X
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 subsumption: (58) {G2,W5,D3,L2,V2,M2} R(54,30) { cp1xcomp( skol5( X ) ), !
% 0.48/1.05 ca_Ax2( Y ) }.
% 0.48/1.05 parent0: (3035) {G1,W5,D3,L2,V2,M2} { cp1xcomp( skol5( Y ) ), ! ca_Ax2( X
% 0.48/1.05 ) }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := Y
% 0.48/1.05 Y := X
% 0.48/1.05 end
% 0.48/1.05 permutation0:
% 0.48/1.05 0 ==> 0
% 0.48/1.05 1 ==> 1
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 resolution: (3036) {G1,W3,D3,L1,V1,M1} { ca_Ax2( skol1( X ) ) }.
% 0.48/1.05 parent0[0]: (23) {G0,W5,D3,L2,V2,M2} I { ! cUnsatisfiable( X ), ca_Ax2(
% 0.48/1.05 skol1( Y ) ) }.
% 0.48/1.05 parent1[0]: (45) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 0.48/1.05 i2003_11_14_17_21_48796 ) }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := i2003_11_14_17_21_48796
% 0.48/1.05 Y := X
% 0.48/1.05 end
% 0.48/1.05 substitution1:
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 subsumption: (67) {G1,W3,D3,L1,V1,M1} R(23,45) { ca_Ax2( skol1( X ) ) }.
% 0.48/1.05 parent0: (3036) {G1,W3,D3,L1,V1,M1} { ca_Ax2( skol1( X ) ) }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := X
% 0.48/1.05 end
% 0.48/1.05 permutation0:
% 0.48/1.05 0 ==> 0
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 resolution: (3037) {G2,W3,D3,L1,V1,M1} { ca_Vx3( skol4( X ) ) }.
% 0.48/1.05 parent0[1]: (55) {G1,W5,D3,L2,V2,M2} R(33,30) { ca_Vx3( skol4( X ) ), !
% 0.48/1.05 ca_Ax2( Y ) }.
% 0.48/1.05 parent1[0]: (67) {G1,W3,D3,L1,V1,M1} R(23,45) { ca_Ax2( skol1( X ) ) }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := X
% 0.48/1.05 Y := skol1( Y )
% 0.48/1.05 end
% 0.48/1.05 substitution1:
% 0.48/1.05 X := Y
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 subsumption: (68) {G2,W3,D3,L1,V1,M1} R(67,55) { ca_Vx3( skol4( X ) ) }.
% 0.48/1.05 parent0: (3037) {G2,W3,D3,L1,V1,M1} { ca_Vx3( skol4( X ) ) }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := X
% 0.48/1.05 end
% 0.48/1.05 permutation0:
% 0.48/1.05 0 ==> 0
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 resolution: (3038) {G2,W3,D3,L1,V1,M1} { cp1xcomp( skol5( X ) ) }.
% 0.48/1.05 parent0[1]: (58) {G2,W5,D3,L2,V2,M2} R(54,30) { cp1xcomp( skol5( X ) ), !
% 0.48/1.05 ca_Ax2( Y ) }.
% 0.48/1.05 parent1[0]: (67) {G1,W3,D3,L1,V1,M1} R(23,45) { ca_Ax2( skol1( X ) ) }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := X
% 0.48/1.05 Y := skol1( Y )
% 0.48/1.05 end
% 0.48/1.05 substitution1:
% 0.48/1.05 X := Y
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 subsumption: (69) {G3,W3,D3,L1,V1,M1} R(67,58) { cp1xcomp( skol5( X ) ) }.
% 0.48/1.05 parent0: (3038) {G2,W3,D3,L1,V1,M1} { cp1xcomp( skol5( X ) ) }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := X
% 0.48/1.05 end
% 0.48/1.05 permutation0:
% 0.48/1.05 0 ==> 0
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 resolution: (3039) {G2,W4,D3,L1,V2,M1} { ! ra_Px1( skol1( X ), Y ) }.
% 0.48/1.05 parent0[1]: (48) {G1,W5,D2,L2,V2,M2} R(26,31) { ! ra_Px1( X, Y ), ! ca_Ax2
% 0.48/1.05 ( X ) }.
% 0.48/1.05 parent1[0]: (67) {G1,W3,D3,L1,V1,M1} R(23,45) { ca_Ax2( skol1( X ) ) }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := skol1( X )
% 0.48/1.05 Y := Y
% 0.48/1.05 end
% 0.48/1.05 substitution1:
% 0.48/1.05 X := X
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 subsumption: (70) {G2,W4,D3,L1,V2,M1} R(67,48) { ! ra_Px1( skol1( X ), Y )
% 0.48/1.05 }.
% 0.48/1.05 parent0: (3039) {G2,W4,D3,L1,V2,M1} { ! ra_Px1( skol1( X ), Y ) }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := X
% 0.48/1.05 Y := Y
% 0.48/1.05 end
% 0.48/1.05 permutation0:
% 0.48/1.05 0 ==> 0
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 resolution: (3040) {G1,W3,D3,L1,V1,M1} { alpha1( skol1( X ) ) }.
% 0.48/1.05 parent0[0]: (30) {G0,W4,D2,L2,V1,M2} I { ! ca_Ax2( X ), alpha1( X ) }.
% 0.48/1.05 parent1[0]: (67) {G1,W3,D3,L1,V1,M1} R(23,45) { ca_Ax2( skol1( X ) ) }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := skol1( X )
% 0.48/1.05 end
% 0.48/1.05 substitution1:
% 0.48/1.05 X := X
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 subsumption: (72) {G2,W3,D3,L1,V1,M1} R(67,30) { alpha1( skol1( X ) ) }.
% 0.48/1.05 parent0: (3040) {G1,W3,D3,L1,V1,M1} { alpha1( skol1( X ) ) }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := X
% 0.48/1.05 end
% 0.48/1.05 permutation0:
% 0.48/1.05 0 ==> 0
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 eqswap: (3041) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cp1xcomp( X ), cp1xcomp( Y
% 0.48/1.05 ) }.
% 0.48/1.05 parent0[0]: (6) {G0,W7,D2,L3,V2,M3} I { ! Y = X, ! cp1xcomp( Y ), cp1xcomp
% 0.48/1.05 ( X ) }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := Y
% 0.48/1.05 Y := X
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 resolution: (3042) {G1,W6,D3,L2,V2,M2} { ! X = skol5( Y ), cp1xcomp( X )
% 0.48/1.05 }.
% 0.48/1.05 parent0[1]: (3041) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cp1xcomp( X ),
% 0.48/1.05 cp1xcomp( Y ) }.
% 0.48/1.05 parent1[0]: (69) {G3,W3,D3,L1,V1,M1} R(67,58) { cp1xcomp( skol5( X ) ) }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := skol5( Y )
% 0.48/1.05 Y := X
% 0.48/1.05 end
% 0.48/1.05 substitution1:
% 0.48/1.05 X := Y
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 eqswap: (3043) {G1,W6,D3,L2,V2,M2} { ! skol5( Y ) = X, cp1xcomp( X ) }.
% 0.48/1.05 parent0[0]: (3042) {G1,W6,D3,L2,V2,M2} { ! X = skol5( Y ), cp1xcomp( X )
% 0.48/1.05 }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := X
% 0.48/1.05 Y := Y
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 subsumption: (79) {G4,W6,D3,L2,V2,M2} R(6,69) { ! skol5( X ) = Y, cp1xcomp
% 0.48/1.05 ( Y ) }.
% 0.48/1.05 parent0: (3043) {G1,W6,D3,L2,V2,M2} { ! skol5( Y ) = X, cp1xcomp( X ) }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := Y
% 0.48/1.05 Y := X
% 0.48/1.05 end
% 0.48/1.05 permutation0:
% 0.48/1.05 0 ==> 0
% 0.48/1.05 1 ==> 1
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 resolution: (3044) {G1,W6,D4,L1,V1,M1} { rf( skol4( X ), skol5( skol4( X )
% 0.48/1.05 ) ) }.
% 0.48/1.05 parent0[0]: (37) {G0,W6,D3,L2,V1,M2} I { ! ca_Vx3( X ), rf( X, skol5( X ) )
% 0.48/1.05 }.
% 0.48/1.05 parent1[0]: (68) {G2,W3,D3,L1,V1,M1} R(67,55) { ca_Vx3( skol4( X ) ) }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := skol4( X )
% 0.48/1.05 end
% 0.48/1.05 substitution1:
% 0.48/1.05 X := X
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 subsumption: (95) {G3,W6,D4,L1,V1,M1} R(37,68) { rf( skol4( X ), skol5(
% 0.48/1.05 skol4( X ) ) ) }.
% 0.48/1.05 parent0: (3044) {G1,W6,D4,L1,V1,M1} { rf( skol4( X ), skol5( skol4( X ) )
% 0.48/1.05 ) }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := X
% 0.48/1.05 end
% 0.48/1.05 permutation0:
% 0.48/1.05 0 ==> 0
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 resolution: (3045) {G1,W6,D3,L2,V1,M2} { rf( skol4( X ), X ), ! alpha1( X
% 0.48/1.05 ) }.
% 0.48/1.05 parent0[0]: (40) {G0,W6,D2,L2,V2,M2} I { ! rinvF( X, Y ), rf( Y, X ) }.
% 0.48/1.05 parent1[1]: (34) {G0,W6,D3,L2,V1,M2} I { ! alpha1( X ), rinvF( X, skol4( X
% 0.48/1.05 ) ) }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := X
% 0.48/1.05 Y := skol4( X )
% 0.48/1.05 end
% 0.48/1.05 substitution1:
% 0.48/1.05 X := X
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 subsumption: (105) {G1,W6,D3,L2,V1,M2} R(34,40) { ! alpha1( X ), rf( skol4
% 0.48/1.05 ( X ), X ) }.
% 0.48/1.05 parent0: (3045) {G1,W6,D3,L2,V1,M2} { rf( skol4( X ), X ), ! alpha1( X )
% 0.48/1.05 }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := X
% 0.48/1.05 end
% 0.48/1.05 permutation0:
% 0.48/1.05 0 ==> 1
% 0.48/1.05 1 ==> 0
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 resolution: (3046) {G2,W6,D4,L1,V1,M1} { rf( skol4( skol1( X ) ), skol1( X
% 0.48/1.05 ) ) }.
% 0.48/1.05 parent0[0]: (105) {G1,W6,D3,L2,V1,M2} R(34,40) { ! alpha1( X ), rf( skol4(
% 0.48/1.05 X ), X ) }.
% 0.48/1.05 parent1[0]: (72) {G2,W3,D3,L1,V1,M1} R(67,30) { alpha1( skol1( X ) ) }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := skol1( X )
% 0.48/1.05 end
% 0.48/1.05 substitution1:
% 0.48/1.05 X := X
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 subsumption: (110) {G3,W6,D4,L1,V1,M1} R(105,72) { rf( skol4( skol1( X ) )
% 0.48/1.05 , skol1( X ) ) }.
% 0.48/1.05 parent0: (3046) {G2,W6,D4,L1,V1,M1} { rf( skol4( skol1( X ) ), skol1( X )
% 0.48/1.05 ) }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := X
% 0.48/1.05 end
% 0.48/1.05 permutation0:
% 0.48/1.05 0 ==> 0
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 resolution: (3047) {G1,W3,D3,L1,V1,M1} { ! cp1xcomp( skol1( X ) ) }.
% 0.48/1.05 parent0[0]: (70) {G2,W4,D3,L1,V2,M1} R(67,48) { ! ra_Px1( skol1( X ), Y )
% 0.48/1.05 }.
% 0.48/1.05 parent1[1]: (28) {G0,W6,D3,L2,V1,M2} I { ! cp1xcomp( X ), ra_Px1( X, skol3
% 0.48/1.05 ( X ) ) }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := X
% 0.48/1.05 Y := skol3( skol1( X ) )
% 0.48/1.05 end
% 0.48/1.05 substitution1:
% 0.48/1.05 X := skol1( X )
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 subsumption: (127) {G3,W3,D3,L1,V1,M1} R(28,70) { ! cp1xcomp( skol1( X ) )
% 0.48/1.05 }.
% 0.48/1.05 parent0: (3047) {G1,W3,D3,L1,V1,M1} { ! cp1xcomp( skol1( X ) ) }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := X
% 0.48/1.05 end
% 0.48/1.05 permutation0:
% 0.48/1.05 0 ==> 0
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 eqswap: (3048) {G4,W6,D3,L2,V2,M2} { ! Y = skol5( X ), cp1xcomp( Y ) }.
% 0.48/1.05 parent0[0]: (79) {G4,W6,D3,L2,V2,M2} R(6,69) { ! skol5( X ) = Y, cp1xcomp(
% 0.48/1.05 Y ) }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := X
% 0.48/1.05 Y := Y
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 resolution: (3049) {G4,W5,D3,L1,V2,M1} { ! skol1( X ) = skol5( Y ) }.
% 0.48/1.05 parent0[0]: (127) {G3,W3,D3,L1,V1,M1} R(28,70) { ! cp1xcomp( skol1( X ) )
% 0.48/1.05 }.
% 0.48/1.05 parent1[1]: (3048) {G4,W6,D3,L2,V2,M2} { ! Y = skol5( X ), cp1xcomp( Y )
% 0.48/1.05 }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := X
% 0.48/1.05 end
% 0.48/1.05 substitution1:
% 0.48/1.05 X := Y
% 0.48/1.05 Y := skol1( X )
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 eqswap: (3050) {G4,W5,D3,L1,V2,M1} { ! skol5( Y ) = skol1( X ) }.
% 0.48/1.05 parent0[0]: (3049) {G4,W5,D3,L1,V2,M1} { ! skol1( X ) = skol5( Y ) }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := X
% 0.48/1.05 Y := Y
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 subsumption: (132) {G5,W5,D3,L1,V2,M1} R(127,79) { ! skol5( X ) = skol1( Y
% 0.48/1.05 ) }.
% 0.48/1.05 parent0: (3050) {G4,W5,D3,L1,V2,M1} { ! skol5( Y ) = skol1( X ) }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := Y
% 0.48/1.05 Y := X
% 0.48/1.05 end
% 0.48/1.05 permutation0:
% 0.48/1.05 0 ==> 0
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 eqswap: (3051) {G5,W5,D3,L1,V2,M1} { ! skol1( Y ) = skol5( X ) }.
% 0.48/1.05 parent0[0]: (132) {G5,W5,D3,L1,V2,M1} R(127,79) { ! skol5( X ) = skol1( Y )
% 0.48/1.05 }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := X
% 0.48/1.05 Y := Y
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 resolution: (3052) {G2,W8,D3,L2,V3,M2} { ! rf( Z, skol1( X ) ), ! rf( Z,
% 0.48/1.05 skol5( Y ) ) }.
% 0.48/1.05 parent0[0]: (3051) {G5,W5,D3,L1,V2,M1} { ! skol1( Y ) = skol5( X ) }.
% 0.48/1.05 parent1[2]: (39) {G1,W9,D2,L3,V3,M3} I;r(19) { ! rf( X, Y ), ! rf( X, Z ),
% 0.48/1.05 Y = Z }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := Y
% 0.48/1.05 Y := X
% 0.48/1.05 end
% 0.48/1.05 substitution1:
% 0.48/1.05 X := Z
% 0.48/1.05 Y := skol1( X )
% 0.48/1.05 Z := skol5( Y )
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 subsumption: (334) {G6,W8,D3,L2,V3,M2} R(39,132) { ! rf( X, skol5( Y ) ), !
% 0.48/1.05 rf( X, skol1( Z ) ) }.
% 0.48/1.05 parent0: (3052) {G2,W8,D3,L2,V3,M2} { ! rf( Z, skol1( X ) ), ! rf( Z,
% 0.48/1.05 skol5( Y ) ) }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := Z
% 0.48/1.05 Y := Y
% 0.48/1.05 Z := X
% 0.48/1.05 end
% 0.48/1.05 permutation0:
% 0.48/1.05 0 ==> 1
% 0.48/1.05 1 ==> 0
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 resolution: (3053) {G4,W5,D3,L1,V2,M1} { ! rf( skol4( X ), skol1( Y ) )
% 0.48/1.05 }.
% 0.48/1.05 parent0[0]: (334) {G6,W8,D3,L2,V3,M2} R(39,132) { ! rf( X, skol5( Y ) ), !
% 0.48/1.05 rf( X, skol1( Z ) ) }.
% 0.48/1.05 parent1[0]: (95) {G3,W6,D4,L1,V1,M1} R(37,68) { rf( skol4( X ), skol5(
% 0.48/1.05 skol4( X ) ) ) }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := skol4( X )
% 0.48/1.05 Y := skol4( X )
% 0.48/1.05 Z := Y
% 0.48/1.05 end
% 0.48/1.05 substitution1:
% 0.48/1.05 X := X
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 subsumption: (2703) {G7,W5,D3,L1,V2,M1} R(334,95) { ! rf( skol4( X ), skol1
% 0.48/1.05 ( Y ) ) }.
% 0.48/1.05 parent0: (3053) {G4,W5,D3,L1,V2,M1} { ! rf( skol4( X ), skol1( Y ) ) }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := X
% 0.48/1.05 Y := Y
% 0.48/1.05 end
% 0.48/1.05 permutation0:
% 0.48/1.05 0 ==> 0
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 resolution: (3054) {G4,W0,D0,L0,V0,M0} { }.
% 0.48/1.05 parent0[0]: (2703) {G7,W5,D3,L1,V2,M1} R(334,95) { ! rf( skol4( X ), skol1
% 0.48/1.05 ( Y ) ) }.
% 0.48/1.05 parent1[0]: (110) {G3,W6,D4,L1,V1,M1} R(105,72) { rf( skol4( skol1( X ) ),
% 0.48/1.05 skol1( X ) ) }.
% 0.48/1.05 substitution0:
% 0.48/1.05 X := skol1( X )
% 0.48/1.05 Y := X
% 0.48/1.05 end
% 0.48/1.05 substitution1:
% 0.48/1.05 X := X
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 subsumption: (2719) {G8,W0,D0,L0,V0,M0} R(2703,110) { }.
% 0.48/1.05 parent0: (3054) {G4,W0,D0,L0,V0,M0} { }.
% 0.48/1.05 substitution0:
% 0.48/1.05 end
% 0.48/1.05 permutation0:
% 0.48/1.05 end
% 0.48/1.05
% 0.48/1.05 Proof check complete!
% 0.48/1.05
% 0.48/1.05 Memory use:
% 0.48/1.05
% 0.48/1.05 space for terms: 38098
% 0.48/1.05 space for clauses: 99365
% 0.48/1.05
% 0.48/1.05
% 0.48/1.05 clauses generated: 11894
% 0.48/1.05 clauses kept: 2720
% 0.48/1.05 clauses selected: 290
% 0.48/1.05 clauses deleted: 26
% 0.48/1.05 clauses inuse deleted: 6
% 0.48/1.05
% 0.48/1.05 subsentry: 52863
% 0.48/1.05 literals s-matched: 35638
% 0.48/1.05 literals matched: 33128
% 0.48/1.05 full subsumption: 17247
% 0.48/1.05
% 0.48/1.05 checksum: -737580518
% 0.48/1.05
% 0.48/1.05
% 0.48/1.05 Bliksem ended
%------------------------------------------------------------------------------