%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : KLE004+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n022.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 01:36:31 EDT 2022
% Result : Theorem 0.44s 1.07s
% Output : Refutation 0.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KLE004+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.33 % Computer : n022.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 : Thu Jun 16 09:41:02 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.44/1.07 *** allocated 10000 integers for termspace/termends
% 0.44/1.07 *** allocated 10000 integers for clauses
% 0.44/1.07 *** allocated 10000 integers for justifications
% 0.44/1.07 Bliksem 1.12
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 Automatic Strategy Selection
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 Clauses:
% 0.44/1.07
% 0.44/1.07 { addition( X, Y ) = addition( Y, X ) }.
% 0.44/1.07 { addition( Z, addition( Y, X ) ) = addition( addition( Z, Y ), X ) }.
% 0.44/1.07 { addition( X, zero ) = X }.
% 0.44/1.07 { addition( X, X ) = X }.
% 0.44/1.07 { multiplication( X, multiplication( Y, Z ) ) = multiplication(
% 0.44/1.07 multiplication( X, Y ), Z ) }.
% 0.44/1.07 { multiplication( X, one ) = X }.
% 0.44/1.07 { multiplication( one, X ) = X }.
% 0.44/1.07 { multiplication( X, addition( Y, Z ) ) = addition( multiplication( X, Y )
% 0.44/1.07 , multiplication( X, Z ) ) }.
% 0.44/1.07 { multiplication( addition( X, Y ), Z ) = addition( multiplication( X, Z )
% 0.44/1.07 , multiplication( Y, Z ) ) }.
% 0.44/1.07 { multiplication( X, zero ) = zero }.
% 0.44/1.07 { multiplication( zero, X ) = zero }.
% 0.44/1.07 { ! leq( X, Y ), addition( X, Y ) = Y }.
% 0.44/1.07 { ! addition( X, Y ) = Y, leq( X, Y ) }.
% 0.44/1.07 { ! test( X ), complement( skol1( X ), X ) }.
% 0.44/1.07 { ! complement( Y, X ), test( X ) }.
% 0.44/1.07 { ! complement( Y, X ), multiplication( X, Y ) = zero }.
% 0.44/1.07 { ! complement( Y, X ), alpha1( X, Y ) }.
% 0.44/1.07 { ! multiplication( X, Y ) = zero, ! alpha1( X, Y ), complement( Y, X ) }.
% 0.44/1.07 { ! alpha1( X, Y ), multiplication( Y, X ) = zero }.
% 0.44/1.07 { ! alpha1( X, Y ), addition( X, Y ) = one }.
% 0.44/1.07 { ! multiplication( Y, X ) = zero, ! addition( X, Y ) = one, alpha1( X, Y )
% 0.44/1.07 }.
% 0.44/1.07 { ! test( X ), ! c( X ) = Y, complement( X, Y ) }.
% 0.44/1.07 { ! test( X ), ! complement( X, Y ), c( X ) = Y }.
% 0.44/1.07 { test( X ), c( X ) = zero }.
% 0.44/1.07 { ! c( zero ) = one }.
% 0.44/1.07
% 0.44/1.07 percentage equality = 0.547619, percentage horn = 0.960000
% 0.44/1.07 This is a problem with some equality
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 Options Used:
% 0.44/1.07
% 0.44/1.07 useres = 1
% 0.44/1.07 useparamod = 1
% 0.44/1.07 useeqrefl = 1
% 0.44/1.07 useeqfact = 1
% 0.44/1.07 usefactor = 1
% 0.44/1.07 usesimpsplitting = 0
% 0.44/1.07 usesimpdemod = 5
% 0.44/1.07 usesimpres = 3
% 0.44/1.07
% 0.44/1.07 resimpinuse = 1000
% 0.44/1.07 resimpclauses = 20000
% 0.44/1.07 substype = eqrewr
% 0.44/1.07 backwardsubs = 1
% 0.44/1.07 selectoldest = 5
% 0.44/1.07
% 0.44/1.07 litorderings [0] = split
% 0.44/1.07 litorderings [1] = extend the termordering, first sorting on arguments
% 0.44/1.07
% 0.44/1.07 termordering = kbo
% 0.44/1.07
% 0.44/1.07 litapriori = 0
% 0.44/1.07 termapriori = 1
% 0.44/1.07 litaposteriori = 0
% 0.44/1.07 termaposteriori = 0
% 0.44/1.07 demodaposteriori = 0
% 0.44/1.07 ordereqreflfact = 0
% 0.44/1.07
% 0.44/1.07 litselect = negord
% 0.44/1.07
% 0.44/1.07 maxweight = 15
% 0.44/1.07 maxdepth = 30000
% 0.44/1.07 maxlength = 115
% 0.44/1.07 maxnrvars = 195
% 0.44/1.07 excuselevel = 1
% 0.44/1.07 increasemaxweight = 1
% 0.44/1.07
% 0.44/1.07 maxselected = 10000000
% 0.44/1.07 maxnrclauses = 10000000
% 0.44/1.07
% 0.44/1.07 showgenerated = 0
% 0.44/1.07 showkept = 0
% 0.44/1.07 showselected = 0
% 0.44/1.07 showdeleted = 0
% 0.44/1.07 showresimp = 1
% 0.44/1.07 showstatus = 2000
% 0.44/1.07
% 0.44/1.07 prologoutput = 0
% 0.44/1.07 nrgoals = 5000000
% 0.44/1.07 totalproof = 1
% 0.44/1.07
% 0.44/1.07 Symbols occurring in the translation:
% 0.44/1.07
% 0.44/1.07 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.44/1.07 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.44/1.07 ! [4, 1] (w:0, o:13, a:1, s:1, b:0),
% 0.44/1.07 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.07 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.07 addition [37, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.44/1.07 zero [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.44/1.07 multiplication [40, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.44/1.07 one [41, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.44/1.07 leq [42, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.44/1.07 test [44, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.44/1.07 complement [46, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.44/1.07 c [47, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.44/1.07 alpha1 [48, 2] (w:1, o:49, a:1, s:1, b:1),
% 0.44/1.07 skol1 [49, 1] (w:1, o:18, a:1, s:1, b:1).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 Starting Search:
% 0.44/1.07
% 0.44/1.07 *** allocated 15000 integers for clauses
% 0.44/1.07 *** allocated 22500 integers for clauses
% 0.44/1.07 *** allocated 33750 integers for clauses
% 0.44/1.07
% 0.44/1.07 Bliksems!, er is een bewijs:
% 0.44/1.07 % SZS status Theorem
% 0.44/1.07 % SZS output start Refutation
% 0.44/1.07
% 0.44/1.07 (0) {G0,W7,D3,L1,V2,M1} I { addition( X, Y ) = addition( Y, X ) }.
% 0.44/1.07 (2) {G0,W5,D3,L1,V1,M1} I { addition( X, zero ) ==> X }.
% 0.44/1.07 (5) {G0,W5,D3,L1,V1,M1} I { multiplication( X, one ) ==> X }.
% 0.44/1.07 (9) {G0,W5,D3,L1,V1,M1} I { multiplication( X, zero ) ==> zero }.
% 0.44/1.07 (14) {G0,W5,D2,L2,V2,M2} I { ! complement( Y, X ), test( X ) }.
% 0.44/1.07 (17) {G0,W11,D3,L3,V2,M3} I { ! multiplication( X, Y ) ==> zero, ! alpha1(
% 0.44/1.07 X, Y ), complement( Y, X ) }.
% 0.44/1.07 (20) {G0,W13,D3,L3,V2,M3} I { ! multiplication( Y, X ) ==> zero, ! addition
% 0.44/1.07 ( X, Y ) ==> one, alpha1( X, Y ) }.
% 0.44/1.07 (22) {G0,W9,D3,L3,V2,M3} I { ! test( X ), ! complement( X, Y ), c( X ) = Y
% 0.44/1.07 }.
% 0.44/1.07 (24) {G0,W4,D3,L1,V0,M1} I { ! c( zero ) ==> one }.
% 0.44/1.07 (26) {G1,W5,D3,L1,V1,M1} P(2,0) { addition( zero, X ) ==> X }.
% 0.44/1.07 (294) {G2,W3,D2,L1,V0,M1} R(20,26);d(9);q { alpha1( zero, one ) }.
% 0.44/1.07 (295) {G1,W3,D2,L1,V0,M1} R(20,2);d(5);q { alpha1( one, zero ) }.
% 0.44/1.07 (308) {G3,W3,D2,L1,V0,M1} R(294,17);d(5);q { complement( one, zero ) }.
% 0.44/1.07 (314) {G4,W2,D2,L1,V0,M1} R(308,14) { test( zero ) }.
% 0.44/1.07 (318) {G2,W3,D2,L1,V0,M1} R(295,17);d(9);q { complement( zero, one ) }.
% 0.44/1.07 (418) {G5,W6,D2,L2,V1,M2} P(22,24);r(314) { ! X = one, ! complement( zero,
% 0.44/1.07 X ) }.
% 0.44/1.07 (421) {G6,W0,D0,L0,V0,M0} Q(418);r(318) { }.
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 % SZS output end Refutation
% 0.44/1.07 found a proof!
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 Unprocessed initial clauses:
% 0.44/1.07
% 0.44/1.07 (423) {G0,W7,D3,L1,V2,M1} { addition( X, Y ) = addition( Y, X ) }.
% 0.44/1.07 (424) {G0,W11,D4,L1,V3,M1} { addition( Z, addition( Y, X ) ) = addition(
% 0.44/1.07 addition( Z, Y ), X ) }.
% 0.44/1.07 (425) {G0,W5,D3,L1,V1,M1} { addition( X, zero ) = X }.
% 0.44/1.07 (426) {G0,W5,D3,L1,V1,M1} { addition( X, X ) = X }.
% 0.44/1.07 (427) {G0,W11,D4,L1,V3,M1} { multiplication( X, multiplication( Y, Z ) ) =
% 0.44/1.07 multiplication( multiplication( X, Y ), Z ) }.
% 0.44/1.07 (428) {G0,W5,D3,L1,V1,M1} { multiplication( X, one ) = X }.
% 0.44/1.07 (429) {G0,W5,D3,L1,V1,M1} { multiplication( one, X ) = X }.
% 0.44/1.07 (430) {G0,W13,D4,L1,V3,M1} { multiplication( X, addition( Y, Z ) ) =
% 0.44/1.07 addition( multiplication( X, Y ), multiplication( X, Z ) ) }.
% 0.44/1.07 (431) {G0,W13,D4,L1,V3,M1} { multiplication( addition( X, Y ), Z ) =
% 0.44/1.07 addition( multiplication( X, Z ), multiplication( Y, Z ) ) }.
% 0.44/1.07 (432) {G0,W5,D3,L1,V1,M1} { multiplication( X, zero ) = zero }.
% 0.44/1.07 (433) {G0,W5,D3,L1,V1,M1} { multiplication( zero, X ) = zero }.
% 0.44/1.07 (434) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), addition( X, Y ) = Y }.
% 0.44/1.07 (435) {G0,W8,D3,L2,V2,M2} { ! addition( X, Y ) = Y, leq( X, Y ) }.
% 0.44/1.07 (436) {G0,W6,D3,L2,V1,M2} { ! test( X ), complement( skol1( X ), X ) }.
% 0.44/1.07 (437) {G0,W5,D2,L2,V2,M2} { ! complement( Y, X ), test( X ) }.
% 0.44/1.07 (438) {G0,W8,D3,L2,V2,M2} { ! complement( Y, X ), multiplication( X, Y ) =
% 0.44/1.07 zero }.
% 0.44/1.07 (439) {G0,W6,D2,L2,V2,M2} { ! complement( Y, X ), alpha1( X, Y ) }.
% 0.44/1.07 (440) {G0,W11,D3,L3,V2,M3} { ! multiplication( X, Y ) = zero, ! alpha1( X
% 0.44/1.07 , Y ), complement( Y, X ) }.
% 0.44/1.07 (441) {G0,W8,D3,L2,V2,M2} { ! alpha1( X, Y ), multiplication( Y, X ) =
% 0.44/1.07 zero }.
% 0.44/1.07 (442) {G0,W8,D3,L2,V2,M2} { ! alpha1( X, Y ), addition( X, Y ) = one }.
% 0.44/1.07 (443) {G0,W13,D3,L3,V2,M3} { ! multiplication( Y, X ) = zero, ! addition(
% 0.44/1.07 X, Y ) = one, alpha1( X, Y ) }.
% 0.44/1.07 (444) {G0,W9,D3,L3,V2,M3} { ! test( X ), ! c( X ) = Y, complement( X, Y )
% 0.44/1.07 }.
% 0.44/1.07 (445) {G0,W9,D3,L3,V2,M3} { ! test( X ), ! complement( X, Y ), c( X ) = Y
% 0.44/1.07 }.
% 0.44/1.07 (446) {G0,W6,D3,L2,V1,M2} { test( X ), c( X ) = zero }.
% 0.44/1.07 (447) {G0,W4,D3,L1,V0,M1} { ! c( zero ) = one }.
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 Total Proof:
% 0.44/1.07
% 0.44/1.07 subsumption: (0) {G0,W7,D3,L1,V2,M1} I { addition( X, Y ) = addition( Y, X
% 0.44/1.07 ) }.
% 0.44/1.07 parent0: (423) {G0,W7,D3,L1,V2,M1} { addition( X, Y ) = addition( Y, X )
% 0.44/1.07 }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := X
% 0.44/1.07 Y := Y
% 0.44/1.07 end
% 0.44/1.07 permutation0:
% 0.44/1.07 0 ==> 0
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 subsumption: (2) {G0,W5,D3,L1,V1,M1} I { addition( X, zero ) ==> X }.
% 0.44/1.07 parent0: (425) {G0,W5,D3,L1,V1,M1} { addition( X, zero ) = X }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := X
% 0.44/1.07 end
% 0.44/1.07 permutation0:
% 0.44/1.07 0 ==> 0
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 subsumption: (5) {G0,W5,D3,L1,V1,M1} I { multiplication( X, one ) ==> X }.
% 0.44/1.07 parent0: (428) {G0,W5,D3,L1,V1,M1} { multiplication( X, one ) = X }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := X
% 0.44/1.07 end
% 0.44/1.07 permutation0:
% 0.44/1.07 0 ==> 0
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 subsumption: (9) {G0,W5,D3,L1,V1,M1} I { multiplication( X, zero ) ==> zero
% 0.44/1.07 }.
% 0.44/1.07 parent0: (432) {G0,W5,D3,L1,V1,M1} { multiplication( X, zero ) = zero }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := X
% 0.44/1.07 end
% 0.44/1.07 permutation0:
% 0.44/1.07 0 ==> 0
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 subsumption: (14) {G0,W5,D2,L2,V2,M2} I { ! complement( Y, X ), test( X )
% 0.44/1.07 }.
% 0.44/1.07 parent0: (437) {G0,W5,D2,L2,V2,M2} { ! complement( Y, X ), test( X ) }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := X
% 0.44/1.07 Y := Y
% 0.44/1.07 end
% 0.44/1.07 permutation0:
% 0.44/1.07 0 ==> 0
% 0.44/1.07 1 ==> 1
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 subsumption: (17) {G0,W11,D3,L3,V2,M3} I { ! multiplication( X, Y ) ==>
% 0.44/1.07 zero, ! alpha1( X, Y ), complement( Y, X ) }.
% 0.44/1.07 parent0: (440) {G0,W11,D3,L3,V2,M3} { ! multiplication( X, Y ) = zero, !
% 0.44/1.07 alpha1( X, Y ), complement( Y, X ) }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := X
% 0.44/1.07 Y := Y
% 0.44/1.07 end
% 0.44/1.07 permutation0:
% 0.44/1.07 0 ==> 0
% 0.44/1.07 1 ==> 1
% 0.44/1.07 2 ==> 2
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 subsumption: (20) {G0,W13,D3,L3,V2,M3} I { ! multiplication( Y, X ) ==>
% 0.44/1.07 zero, ! addition( X, Y ) ==> one, alpha1( X, Y ) }.
% 0.44/1.07 parent0: (443) {G0,W13,D3,L3,V2,M3} { ! multiplication( Y, X ) = zero, !
% 0.44/1.07 addition( X, Y ) = one, alpha1( X, Y ) }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := X
% 0.44/1.07 Y := Y
% 0.44/1.07 end
% 0.44/1.07 permutation0:
% 0.44/1.07 0 ==> 0
% 0.44/1.07 1 ==> 1
% 0.44/1.07 2 ==> 2
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 subsumption: (22) {G0,W9,D3,L3,V2,M3} I { ! test( X ), ! complement( X, Y )
% 0.44/1.07 , c( X ) = Y }.
% 0.44/1.07 parent0: (445) {G0,W9,D3,L3,V2,M3} { ! test( X ), ! complement( X, Y ), c
% 0.44/1.07 ( X ) = Y }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := X
% 0.44/1.07 Y := Y
% 0.44/1.07 end
% 0.44/1.07 permutation0:
% 0.44/1.07 0 ==> 0
% 0.44/1.07 1 ==> 1
% 0.44/1.07 2 ==> 2
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 subsumption: (24) {G0,W4,D3,L1,V0,M1} I { ! c( zero ) ==> one }.
% 0.44/1.07 parent0: (447) {G0,W4,D3,L1,V0,M1} { ! c( zero ) = one }.
% 0.44/1.07 substitution0:
% 0.44/1.07 end
% 0.44/1.07 permutation0:
% 0.44/1.07 0 ==> 0
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 eqswap: (553) {G0,W5,D3,L1,V1,M1} { X ==> addition( X, zero ) }.
% 0.44/1.07 parent0[0]: (2) {G0,W5,D3,L1,V1,M1} I { addition( X, zero ) ==> X }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := X
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 paramod: (554) {G1,W5,D3,L1,V1,M1} { X ==> addition( zero, X ) }.
% 0.44/1.07 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { addition( X, Y ) = addition( Y, X )
% 0.44/1.07 }.
% 0.44/1.07 parent1[0; 2]: (553) {G0,W5,D3,L1,V1,M1} { X ==> addition( X, zero ) }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := X
% 0.44/1.07 Y := zero
% 0.44/1.07 end
% 0.44/1.07 substitution1:
% 0.44/1.07 X := X
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 eqswap: (557) {G1,W5,D3,L1,V1,M1} { addition( zero, X ) ==> X }.
% 0.44/1.07 parent0[0]: (554) {G1,W5,D3,L1,V1,M1} { X ==> addition( zero, X ) }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := X
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 subsumption: (26) {G1,W5,D3,L1,V1,M1} P(2,0) { addition( zero, X ) ==> X
% 0.44/1.07 }.
% 0.44/1.07 parent0: (557) {G1,W5,D3,L1,V1,M1} { addition( zero, X ) ==> X }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := X
% 0.44/1.07 end
% 0.44/1.07 permutation0:
% 0.44/1.07 0 ==> 0
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 eqswap: (558) {G0,W13,D3,L3,V2,M3} { ! zero ==> multiplication( X, Y ), !
% 0.44/1.07 addition( Y, X ) ==> one, alpha1( Y, X ) }.
% 0.44/1.07 parent0[0]: (20) {G0,W13,D3,L3,V2,M3} I { ! multiplication( Y, X ) ==> zero
% 0.44/1.07 , ! addition( X, Y ) ==> one, alpha1( X, Y ) }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := Y
% 0.44/1.07 Y := X
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 resolution: (563) {G1,W8,D3,L2,V0,M2} { ! zero ==> multiplication( one,
% 0.44/1.07 zero ), alpha1( zero, one ) }.
% 0.44/1.07 parent0[1]: (558) {G0,W13,D3,L3,V2,M3} { ! zero ==> multiplication( X, Y )
% 0.44/1.07 , ! addition( Y, X ) ==> one, alpha1( Y, X ) }.
% 0.44/1.07 parent1[0]: (26) {G1,W5,D3,L1,V1,M1} P(2,0) { addition( zero, X ) ==> X }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := one
% 0.44/1.07 Y := zero
% 0.44/1.07 end
% 0.44/1.07 substitution1:
% 0.44/1.07 X := one
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 paramod: (564) {G1,W6,D2,L2,V0,M2} { ! zero ==> zero, alpha1( zero, one )
% 0.44/1.07 }.
% 0.44/1.07 parent0[0]: (9) {G0,W5,D3,L1,V1,M1} I { multiplication( X, zero ) ==> zero
% 0.44/1.07 }.
% 0.44/1.07 parent1[0; 3]: (563) {G1,W8,D3,L2,V0,M2} { ! zero ==> multiplication( one
% 0.44/1.07 , zero ), alpha1( zero, one ) }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := one
% 0.44/1.07 end
% 0.44/1.07 substitution1:
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 eqrefl: (565) {G0,W3,D2,L1,V0,M1} { alpha1( zero, one ) }.
% 0.44/1.07 parent0[0]: (564) {G1,W6,D2,L2,V0,M2} { ! zero ==> zero, alpha1( zero, one
% 0.44/1.07 ) }.
% 0.44/1.07 substitution0:
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 subsumption: (294) {G2,W3,D2,L1,V0,M1} R(20,26);d(9);q { alpha1( zero, one
% 0.44/1.07 ) }.
% 0.44/1.07 parent0: (565) {G0,W3,D2,L1,V0,M1} { alpha1( zero, one ) }.
% 0.44/1.07 substitution0:
% 0.44/1.07 end
% 0.44/1.07 permutation0:
% 0.44/1.07 0 ==> 0
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 eqswap: (566) {G0,W13,D3,L3,V2,M3} { ! zero ==> multiplication( X, Y ), !
% 0.44/1.07 addition( Y, X ) ==> one, alpha1( Y, X ) }.
% 0.44/1.07 parent0[0]: (20) {G0,W13,D3,L3,V2,M3} I { ! multiplication( Y, X ) ==> zero
% 0.44/1.07 , ! addition( X, Y ) ==> one, alpha1( X, Y ) }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := Y
% 0.44/1.07 Y := X
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 resolution: (571) {G1,W8,D3,L2,V0,M2} { ! zero ==> multiplication( zero,
% 0.44/1.07 one ), alpha1( one, zero ) }.
% 0.44/1.07 parent0[1]: (566) {G0,W13,D3,L3,V2,M3} { ! zero ==> multiplication( X, Y )
% 0.44/1.07 , ! addition( Y, X ) ==> one, alpha1( Y, X ) }.
% 0.44/1.07 parent1[0]: (2) {G0,W5,D3,L1,V1,M1} I { addition( X, zero ) ==> X }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := zero
% 0.44/1.07 Y := one
% 0.44/1.07 end
% 0.44/1.07 substitution1:
% 0.44/1.07 X := one
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 paramod: (572) {G1,W6,D2,L2,V0,M2} { ! zero ==> zero, alpha1( one, zero )
% 0.44/1.07 }.
% 0.44/1.07 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { multiplication( X, one ) ==> X }.
% 0.44/1.07 parent1[0; 3]: (571) {G1,W8,D3,L2,V0,M2} { ! zero ==> multiplication( zero
% 0.44/1.07 , one ), alpha1( one, zero ) }.
% 0.44/1.07 substitution0:
% 0.44/1.07 X := zero
% 0.44/1.07 end
% 0.44/1.07 substitution1:
% 0.44/1.07 end
% 0.44/1.07
% 0.44/1.07 eqrefl: (573) {G0,W3,D2,L1,V0,M1} { alpha1( one, zero ) }.
% 0.44/1.07 parent0[0]: (572) {G1,W6,D2,L2,V0,M2} { ! zero ==> zero, alpha1( one, zero
% 3.25/3.63 ) }.
% 3.25/3.63 substitution0:
% 3.25/3.63 end
% 3.25/3.63
% 3.25/3.63 subsumption: (295) {G1,W3,D2,L1,V0,M1} R(20,2);d(5);q { alpha1( one, zero )
% 3.25/3.63 }.
% 3.25/3.63 parent0: (573) {G0,W3,D2,L1,V0,M1} { alpha1( one, zero ) }.
% 3.25/3.63 substitution0:
% 3.25/3.63 end
% 3.25/3.63 permutation0:
% 3.25/3.63 0 ==> 0
% 3.25/3.63 end
% 3.25/3.63
% 3.25/3.63 eqswap: (574) {G0,W11,D3,L3,V2,M3} { ! zero ==> multiplication( X, Y ), !
% 3.25/3.63 alpha1( X, Y ), complement( Y, X ) }.
% 3.25/3.63 parent0[0]: (17) {G0,W11,D3,L3,V2,M3} I { ! multiplication( X, Y ) ==> zero
% 3.25/3.63 , ! alpha1( X, Y ), complement( Y, X ) }.
% 3.25/3.63 substitution0:
% 3.25/3.63 X := X
% 3.25/3.63 Y := Y
% 3.25/3.63 end
% 3.25/3.63
% 3.25/3.63 resolution: (576) {G1,W8,D3,L2,V0,M2} { ! zero ==> multiplication( zero,
% 3.25/3.63 one ), complement( one, zero ) }.
% 3.25/3.63 parent0[1]: (574) {G0,W11,D3,L3,V2,M3} { ! zero ==> multiplication( X, Y )
% 3.25/3.63 , ! alpha1( X, Y ), complement( Y, X ) }.
% 3.25/3.63 parent1[0]: (294) {G2,W3,D2,L1,V0,M1} R(20,26);d(9);q { alpha1( zero, one )
% 3.25/3.63 }.
% 3.25/3.63 substitution0:
% 3.25/3.63 X := zero
% 3.25/3.63 Y := one
% 3.25/3.63 end
% 3.25/3.63 substitution1:
% 3.25/3.63 end
% 3.25/3.63
% 3.25/3.63 paramod: (577) {G1,W6,D2,L2,V0,M2} { ! zero ==> zero, complement( one,
% 3.25/3.63 zero ) }.
% 3.25/3.63 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { multiplication( X, one ) ==> X }.
% 3.25/3.63 parent1[0; 3]: (576) {G1,W8,D3,L2,V0,M2} { ! zero ==> multiplication( zero
% 3.25/3.63 , one ), complement( one, zero ) }.
% 3.25/3.63 substitution0:
% 3.25/3.63 X := zero
% 3.25/3.63 end
% 3.25/3.63 substitution1:
% 3.25/3.63 end
% 3.25/3.63
% 3.25/3.63 eqrefl: (578) {G0,W3,D2,L1,V0,M1} { complement( one, zero ) }.
% 3.25/3.63 parent0[0]: (577) {G1,W6,D2,L2,V0,M2} { ! zero ==> zero, complement( one,
% 3.25/3.63 zero ) }.
% 3.25/3.63 substitution0:
% 3.25/3.63 end
% 3.25/3.63
% 3.25/3.63 subsumption: (308) {G3,W3,D2,L1,V0,M1} R(294,17);d(5);q { complement( one,
% 3.25/3.63 zero ) }.
% 3.25/3.63 parent0: (578) {G0,W3,D2,L1,V0,M1} { complement( one, zero ) }.
% 3.25/3.63 substitution0:
% 3.25/3.63 end
% 3.25/3.63 permutation0:
% 3.25/3.63 0 ==> 0
% 3.25/3.63 end
% 3.25/3.63
% 3.25/3.63 resolution: (579) {G1,W2,D2,L1,V0,M1} { test( zero ) }.
% 3.25/3.63 parent0[0]: (14) {G0,W5,D2,L2,V2,M2} I { ! complement( Y, X ), test( X )
% 3.25/3.63 }.
% 3.25/3.63 parent1[0]: (308) {G3,W3,D2,L1,V0,M1} R(294,17);d(5);q { complement( one,
% 3.25/3.63 zero ) }.
% 3.25/3.63 substitution0:
% 3.25/3.63 X := zero
% 3.25/3.63 Y := one
% 3.25/3.63 end
% 3.25/3.63 substitution1:
% 3.25/3.63 end
% 3.25/3.63
% 3.25/3.63 subsumption: (314) {G4,W2,D2,L1,V0,M1} R(308,14) { test( zero ) }.
% 3.25/3.63 parent0: (579) {G1,W2,D2,L1,V0,M1} { test( zero ) }.
% 3.25/3.63 substitution0:
% 3.25/3.63 end
% 3.25/3.63 permutation0:
% 3.25/3.63 0 ==> 0
% 3.25/3.63 end
% 3.25/3.63
% 3.25/3.63 eqswap: (580) {G0,W11,D3,L3,V2,M3} { ! zero ==> multiplication( X, Y ), !
% 3.25/3.63 alpha1( X, Y ), complement( Y, X ) }.
% 3.25/3.63 parent0[0]: (17) {G0,W11,D3,L3,V2,M3} I { ! multiplication( X, Y ) ==> zero
% 3.25/3.63 , ! alpha1( X, Y ), complement( Y, X ) }.
% 3.25/3.63 substitution0:
% 3.25/3.63 X := X
% 3.25/3.63 Y := Y
% 3.25/3.63 end
% 3.25/3.63
% 3.25/3.63 resolution: (582) {G1,W8,D3,L2,V0,M2} { ! zero ==> multiplication( one,
% 3.25/3.63 zero ), complement( zero, one ) }.
% 3.25/3.63 parent0[1]: (580) {G0,W11,D3,L3,V2,M3} { ! zero ==> multiplication( X, Y )
% 3.25/3.63 , ! alpha1( X, Y ), complement( Y, X ) }.
% 3.25/3.63 parent1[0]: (295) {G1,W3,D2,L1,V0,M1} R(20,2);d(5);q { alpha1( one, zero )
% 3.25/3.63 }.
% 3.25/3.63 substitution0:
% 3.25/3.63 X := one
% 3.25/3.63 Y := zero
% 3.25/3.63 end
% 3.25/3.63 substitution1:
% 3.25/3.63 end
% 3.25/3.63
% 3.25/3.63 paramod: (583) {G1,W6,D2,L2,V0,M2} { ! zero ==> zero, complement( zero,
% 3.25/3.63 one ) }.
% 3.25/3.63 parent0[0]: (9) {G0,W5,D3,L1,V1,M1} I { multiplication( X, zero ) ==> zero
% 3.25/3.63 }.
% 3.25/3.63 parent1[0; 3]: (582) {G1,W8,D3,L2,V0,M2} { ! zero ==> multiplication( one
% 3.25/3.63 , zero ), complement( zero, one ) }.
% 3.25/3.63 substitution0:
% 3.25/3.63 X := one
% 3.25/3.63 end
% 3.25/3.63 substitution1:
% 3.25/3.63 end
% 3.25/3.63
% 3.25/3.63 eqrefl: (584) {G0,W3,D2,L1,V0,M1} { complement( zero, one ) }.
% 3.25/3.63 parent0[0]: (583) {G1,W6,D2,L2,V0,M2} { ! zero ==> zero, complement( zero
% 3.25/3.63 , one ) }.
% 3.25/3.63 substitution0:
% 3.25/3.63 end
% 3.25/3.63
% 3.25/3.63 subsumption: (318) {G2,W3,D2,L1,V0,M1} R(295,17);d(9);q { complement( zero
% 3.25/3.63 , one ) }.
% 3.25/3.63 parent0: (584) {G0,W3,D2,L1,V0,M1} { complement( zero, one ) }.
% 3.25/3.63 substitution0:
% 3.25/3.63 end
% 3.25/3.63 permutation0:
% 3.25/3.63 0 ==> 0
% 3.25/3.63 end
% 3.25/3.63
% 3.25/3.63 *** allocated 15000 integers for termspace/termends
% 3.25/3.63 *** allocated 22500 integers for termspace/termends
% 3.25/3.63 *** allocated 50625 integers for clauses
% 3.25/3.63 *** allocated 15000 integers for justifications
% 3.25/3.63 *** allocated 33750 integers for termspace/termends
% 3.25/3.63 *** allocated 22500 integers for justifications
% 3.25/3.63 *** allocated 50625 integers for termspace/termends
% 3.25/3.63 *** allocated 33750 integers for justifications
% 3.25/3.63 *** allocated 75937 integers for clauses
% 3.25/3.63 *** allocated 75937 integers for termspace/termends
% 3.25/3.63 *** allocated 50625 integers for justifications
% 3.25/3.63 *** allocated 113905 integers for termspace/termends
% 3.25/3.63 *** allocated 113905 integers for clauses
% 3.25/3.63 *** allocated Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------