TSTP Solution File: MGT056+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : MGT056+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.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 21:57:56 EDT 2022
% Result : Theorem 0.90s 1.31s
% Output : Refutation 0.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT056+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Thu Jun 9 11:05:34 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.90/1.31 *** allocated 10000 integers for termspace/termends
% 0.90/1.31 *** allocated 10000 integers for clauses
% 0.90/1.31 *** allocated 10000 integers for justifications
% 0.90/1.31 Bliksem 1.12
% 0.90/1.31
% 0.90/1.31
% 0.90/1.31 Automatic Strategy Selection
% 0.90/1.31
% 0.90/1.31
% 0.90/1.31 Clauses:
% 0.90/1.31
% 0.90/1.31 { ! smaller_or_equal( X, Y ), smaller( X, Y ), X = Y }.
% 0.90/1.31 { ! smaller( X, Y ), smaller_or_equal( X, Y ) }.
% 0.90/1.31 { ! X = Y, smaller_or_equal( X, Y ) }.
% 0.90/1.31 { ! greater_or_equal( X, Y ), greater( X, Y ), X = Y }.
% 0.90/1.31 { ! greater( X, Y ), greater_or_equal( X, Y ) }.
% 0.90/1.31 { ! X = Y, greater_or_equal( X, Y ) }.
% 0.90/1.31 { ! smaller( X, Y ), greater( Y, X ) }.
% 0.90/1.31 { ! greater( Y, X ), smaller( X, Y ) }.
% 0.90/1.31 { ! greater( X, Y ), ! greater( Y, X ) }.
% 0.90/1.31 { ! greater( X, Z ), ! greater( Z, Y ), greater( X, Y ) }.
% 0.90/1.31 { smaller( X, Y ), X = Y, greater( X, Y ) }.
% 0.90/1.31 { ! has_endowment( X ), organization( X ) }.
% 0.90/1.31 { ! has_endowment( X ), alpha1( X ) }.
% 0.90/1.31 { ! organization( X ), ! alpha1( X ), has_endowment( X ) }.
% 0.90/1.31 { ! alpha1( X ), alpha2( X, Y ) }.
% 0.90/1.31 { ! alpha1( X ), alpha3( X, Y ) }.
% 0.90/1.31 { ! alpha2( X, skol1( X ) ), ! alpha3( X, skol1( X ) ), alpha1( X ) }.
% 0.90/1.31 { ! alpha3( X, Y ), ! greater( age( X, Y ), eta ), ! has_immunity( X, Y ) }
% 0.90/1.31 .
% 0.90/1.31 { greater( age( X, Y ), eta ), alpha3( X, Y ) }.
% 0.90/1.31 { has_immunity( X, Y ), alpha3( X, Y ) }.
% 0.90/1.31 { ! alpha2( X, Y ), ! smaller_or_equal( age( X, Y ), eta ), has_immunity( X
% 0.90/1.31 , Y ) }.
% 0.90/1.31 { smaller_or_equal( age( X, Y ), eta ), alpha2( X, Y ) }.
% 0.90/1.31 { ! has_immunity( X, Y ), alpha2( X, Y ) }.
% 0.90/1.31 { ! organization( X ), ! has_immunity( X, Y ), ! has_immunity( X, Z ),
% 0.90/1.31 hazard_of_mortality( X, Y ) = hazard_of_mortality( X, Z ) }.
% 0.90/1.31 { ! organization( X ), ! has_immunity( X, Y ), has_immunity( X, Z ),
% 0.90/1.31 greater( hazard_of_mortality( X, Z ), hazard_of_mortality( X, Y ) ) }.
% 0.90/1.31 { organization( skol2 ) }.
% 0.90/1.31 { has_endowment( skol2 ) }.
% 0.90/1.31 { age( skol2, skol3 ) = zero }.
% 0.90/1.31 { smaller_or_equal( age( skol2, skol4 ), eta ) }.
% 0.90/1.31 { greater( age( skol2, skol5 ), eta ) }.
% 0.90/1.31 { greater_or_equal( eta, sigma ) }.
% 0.90/1.31 { greater( sigma, zero ) }.
% 0.90/1.31 { ! greater( hazard_of_mortality( skol2, skol5 ), hazard_of_mortality(
% 0.90/1.31 skol2, skol4 ) ), ! hazard_of_mortality( skol2, skol4 ) =
% 0.90/1.31 hazard_of_mortality( skol2, skol3 ) }.
% 0.90/1.31
% 0.90/1.31 percentage equality = 0.112676, percentage horn = 0.787879
% 0.90/1.31 This is a problem with some equality
% 0.90/1.31
% 0.90/1.31
% 0.90/1.31
% 0.90/1.31 Options Used:
% 0.90/1.31
% 0.90/1.31 useres = 1
% 0.90/1.31 useparamod = 1
% 0.90/1.31 useeqrefl = 1
% 0.90/1.31 useeqfact = 1
% 0.90/1.31 usefactor = 1
% 0.90/1.31 usesimpsplitting = 0
% 0.90/1.31 usesimpdemod = 5
% 0.90/1.31 usesimpres = 3
% 0.90/1.31
% 0.90/1.31 resimpinuse = 1000
% 0.90/1.31 resimpclauses = 20000
% 0.90/1.31 substype = eqrewr
% 0.90/1.31 backwardsubs = 1
% 0.90/1.31 selectoldest = 5
% 0.90/1.31
% 0.90/1.31 litorderings [0] = split
% 0.90/1.31 litorderings [1] = extend the termordering, first sorting on arguments
% 0.90/1.31
% 0.90/1.31 termordering = kbo
% 0.90/1.31
% 0.90/1.31 litapriori = 0
% 0.90/1.31 termapriori = 1
% 0.90/1.31 litaposteriori = 0
% 0.90/1.31 termaposteriori = 0
% 0.90/1.31 demodaposteriori = 0
% 0.90/1.31 ordereqreflfact = 0
% 0.90/1.31
% 0.90/1.31 litselect = negord
% 0.90/1.31
% 0.90/1.31 maxweight = 15
% 0.90/1.31 maxdepth = 30000
% 0.90/1.31 maxlength = 115
% 0.90/1.31 maxnrvars = 195
% 0.90/1.31 excuselevel = 1
% 0.90/1.31 increasemaxweight = 1
% 0.90/1.31
% 0.90/1.31 maxselected = 10000000
% 0.90/1.31 maxnrclauses = 10000000
% 0.90/1.31
% 0.90/1.31 showgenerated = 0
% 0.90/1.31 showkept = 0
% 0.90/1.31 showselected = 0
% 0.90/1.31 showdeleted = 0
% 0.90/1.31 showresimp = 1
% 0.90/1.31 showstatus = 2000
% 0.90/1.31
% 0.90/1.31 prologoutput = 0
% 0.90/1.31 nrgoals = 5000000
% 0.90/1.31 totalproof = 1
% 0.90/1.31
% 0.90/1.31 Symbols occurring in the translation:
% 0.90/1.31
% 0.90/1.31 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.90/1.31 . [1, 2] (w:1, o:29, a:1, s:1, b:0),
% 0.90/1.31 ! [4, 1] (w:0, o:20, a:1, s:1, b:0),
% 0.90/1.31 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.90/1.31 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.90/1.31 smaller_or_equal [37, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.90/1.31 smaller [38, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.90/1.31 greater_or_equal [39, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.90/1.31 greater [40, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.90/1.31 has_endowment [42, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.90/1.31 organization [44, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.90/1.31 age [45, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.90/1.31 eta [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.90/1.31 has_immunity [47, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.90/1.31 hazard_of_mortality [49, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.90/1.31 zero [52, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.90/1.31 sigma [53, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.90/1.31 alpha1 [54, 1] (w:1, o:27, a:1, s:1, b:1),
% 0.90/1.31 alpha2 [55, 2] (w:1, o:60, a:1, s:1, b:1),
% 0.90/1.31 alpha3 [56, 2] (w:1, o:61, a:1, s:1, b:1),
% 0.90/1.31 skol1 [57, 1] (w:1, o:28, a:1, s:1, b:1),
% 0.90/1.31 skol2 [58, 0] (w:1, o:16, a:1, s:1, b:1),
% 0.90/1.31 skol3 [59, 0] (w:1, o:17, a:1, s:1, b:1),
% 0.90/1.31 skol4 [60, 0] (w:1, o:18, a:1, s:1, b:1),
% 0.90/1.31 skol5 [61, 0] (w:1, o:19, a:1, s:1, b:1).
% 0.90/1.31
% 0.90/1.31
% 0.90/1.31 Starting Search:
% 0.90/1.31
% 0.90/1.31 *** allocated 15000 integers for clauses
% 0.90/1.31 *** allocated 22500 integers for clauses
% 0.90/1.31 *** allocated 33750 integers for clauses
% 0.90/1.31 *** allocated 50625 integers for clauses
% 0.90/1.31 *** allocated 15000 integers for termspace/termends
% 0.90/1.31 Resimplifying inuse:
% 0.90/1.31 Done
% 0.90/1.31
% 0.90/1.31 *** allocated 75937 integers for clauses
% 0.90/1.31 *** allocated 22500 integers for termspace/termends
% 0.90/1.31 *** allocated 33750 integers for termspace/termends
% 0.90/1.31 *** allocated 113905 integers for clauses
% 0.90/1.31
% 0.90/1.31 Intermediate Status:
% 0.90/1.31 Generated: 3923
% 0.90/1.31 Kept: 2010
% 0.90/1.31 Inuse: 155
% 0.90/1.31 Deleted: 4
% 0.90/1.31 Deletedinuse: 0
% 0.90/1.31
% 0.90/1.31 Resimplifying inuse:
% 0.90/1.31 Done
% 0.90/1.31
% 0.90/1.31 *** allocated 50625 integers for termspace/termends
% 0.90/1.31 *** allocated 170857 integers for clauses
% 0.90/1.31 Resimplifying inuse:
% 0.90/1.31 Done
% 0.90/1.31
% 0.90/1.31 *** allocated 75937 integers for termspace/termends
% 0.90/1.31
% 0.90/1.31 Intermediate Status:
% 0.90/1.31 Generated: 11895
% 0.90/1.31 Kept: 4017
% 0.90/1.31 Inuse: 289
% 0.90/1.31 Deleted: 17
% 0.90/1.31 Deletedinuse: 3
% 0.90/1.31
% 0.90/1.31 Resimplifying inuse:
% 0.90/1.31 Done
% 0.90/1.31
% 0.90/1.31 *** allocated 256285 integers for clauses
% 0.90/1.31
% 0.90/1.31 Bliksems!, er is een bewijs:
% 0.90/1.31 % SZS status Theorem
% 0.90/1.31 % SZS output start Refutation
% 0.90/1.31
% 0.90/1.31 (0) {G0,W9,D2,L3,V2,M3} I { ! smaller_or_equal( X, Y ), smaller( X, Y ), X
% 0.90/1.31 = Y }.
% 0.90/1.31 (1) {G0,W6,D2,L2,V2,M2} I { ! smaller( X, Y ), smaller_or_equal( X, Y ) }.
% 0.90/1.31 (2) {G0,W6,D2,L2,V2,M2} I { ! X = Y, smaller_or_equal( X, Y ) }.
% 0.90/1.31 (3) {G0,W9,D2,L3,V2,M3} I { ! greater_or_equal( X, Y ), greater( X, Y ), X
% 0.90/1.31 = Y }.
% 0.90/1.31 (6) {G0,W6,D2,L2,V2,M2} I { ! smaller( X, Y ), greater( Y, X ) }.
% 0.90/1.31 (7) {G0,W6,D2,L2,V2,M2} I { ! greater( Y, X ), smaller( X, Y ) }.
% 0.90/1.31 (8) {G0,W6,D2,L2,V2,M2} I { ! greater( X, Y ), ! greater( Y, X ) }.
% 0.90/1.31 (9) {G0,W9,D2,L3,V3,M3} I { ! greater( X, Z ), ! greater( Z, Y ), greater(
% 0.90/1.31 X, Y ) }.
% 0.90/1.31 (10) {G0,W9,D2,L3,V2,M3} I { smaller( X, Y ), X = Y, greater( X, Y ) }.
% 0.90/1.31 (12) {G0,W4,D2,L2,V1,M2} I { ! has_endowment( X ), alpha1( X ) }.
% 0.90/1.31 (14) {G0,W5,D2,L2,V2,M2} I { ! alpha1( X ), alpha2( X, Y ) }.
% 0.90/1.31 (15) {G0,W5,D2,L2,V2,M2} I { ! alpha1( X ), alpha3( X, Y ) }.
% 0.90/1.31 (17) {G0,W11,D3,L3,V2,M3} I { ! alpha3( X, Y ), ! greater( age( X, Y ), eta
% 0.90/1.31 ), ! has_immunity( X, Y ) }.
% 0.90/1.31 (20) {G0,W11,D3,L3,V2,M3} I { ! alpha2( X, Y ), ! smaller_or_equal( age( X
% 0.90/1.31 , Y ), eta ), has_immunity( X, Y ) }.
% 0.90/1.31 (23) {G0,W15,D3,L4,V3,M4} I { ! organization( X ), ! has_immunity( X, Y ),
% 0.90/1.31 ! has_immunity( X, Z ), hazard_of_mortality( X, Y ) = hazard_of_mortality
% 0.90/1.31 ( X, Z ) }.
% 0.90/1.31 (24) {G0,W15,D3,L4,V3,M4} I { ! organization( X ), ! has_immunity( X, Y ),
% 0.90/1.31 has_immunity( X, Z ), greater( hazard_of_mortality( X, Z ),
% 0.90/1.31 hazard_of_mortality( X, Y ) ) }.
% 0.90/1.31 (25) {G0,W2,D2,L1,V0,M1} I { organization( skol2 ) }.
% 0.90/1.31 (26) {G0,W2,D2,L1,V0,M1} I { has_endowment( skol2 ) }.
% 0.90/1.31 (27) {G0,W5,D3,L1,V0,M1} I { age( skol2, skol3 ) ==> zero }.
% 0.90/1.31 (28) {G0,W5,D3,L1,V0,M1} I { smaller_or_equal( age( skol2, skol4 ), eta )
% 0.90/1.31 }.
% 0.90/1.31 (29) {G0,W5,D3,L1,V0,M1} I { greater( age( skol2, skol5 ), eta ) }.
% 0.90/1.31 (30) {G0,W3,D2,L1,V0,M1} I { greater_or_equal( eta, sigma ) }.
% 0.90/1.31 (31) {G0,W3,D2,L1,V0,M1} I { greater( sigma, zero ) }.
% 0.90/1.31 (32) {G0,W14,D3,L2,V0,M2} I { ! greater( hazard_of_mortality( skol2, skol5
% 0.90/1.31 ), hazard_of_mortality( skol2, skol4 ) ), ! hazard_of_mortality( skol2,
% 0.90/1.31 skol4 ) ==> hazard_of_mortality( skol2, skol3 ) }.
% 0.90/1.31 (40) {G1,W9,D2,L3,V1,M3} P(0,31) { greater( X, zero ), ! smaller_or_equal(
% 0.90/1.31 sigma, X ), smaller( sigma, X ) }.
% 0.90/1.31 (48) {G1,W2,D2,L1,V0,M1} R(12,26) { alpha1( skol2 ) }.
% 0.90/1.31 (49) {G2,W3,D2,L1,V1,M1} R(15,48) { alpha3( skol2, X ) }.
% 0.90/1.31 (51) {G2,W3,D2,L1,V1,M1} R(14,48) { alpha2( skol2, X ) }.
% 0.90/1.31 (137) {G1,W3,D2,L1,V0,M1} R(8,31) { ! greater( zero, sigma ) }.
% 0.90/1.31 (167) {G1,W6,D2,L2,V2,M2} R(7,1) { ! greater( X, Y ), smaller_or_equal( Y,
% 0.90/1.31 X ) }.
% 0.90/1.31 (223) {G2,W6,D2,L2,V1,M2} R(9,137) { ! greater( zero, X ), ! greater( X,
% 0.90/1.31 sigma ) }.
% 0.90/1.31 (318) {G3,W6,D2,L2,V1,M2} P(10,137);r(223) { ! greater( X, sigma ), smaller
% 0.90/1.31 ( zero, X ) }.
% 0.90/1.31 (387) {G4,W6,D2,L2,V1,M2} R(318,6) { smaller( zero, X ), ! smaller( sigma,
% 0.90/1.31 X ) }.
% 0.90/1.31 (389) {G4,W6,D2,L2,V1,M2} R(318,1) { ! greater( X, sigma ),
% 0.90/1.31 smaller_or_equal( zero, X ) }.
% 0.90/1.31 (439) {G3,W3,D2,L1,V0,M1} R(17,29);r(49) { ! has_immunity( skol2, skol5 )
% 0.90/1.31 }.
% 0.90/1.31 (593) {G3,W3,D2,L1,V0,M1} R(20,28);r(51) { has_immunity( skol2, skol4 ) }.
% 0.90/1.31 (872) {G4,W10,D3,L2,V1,M2} R(24,439);r(25) { ! has_immunity( skol2, X ),
% 0.90/1.31 greater( hazard_of_mortality( skol2, skol5 ), hazard_of_mortality( skol2
% 0.90/1.31 , X ) ) }.
% 0.90/1.31 (964) {G5,W15,D3,L4,V1,M4} P(23,32);r(872) { ! hazard_of_mortality( skol2,
% 0.90/1.31 X ) = hazard_of_mortality( skol2, skol3 ), ! organization( skol2 ), !
% 0.90/1.31 has_immunity( skol2, skol4 ), ! has_immunity( skol2, X ) }.
% 0.90/1.31 (1000) {G6,W6,D2,L2,V0,M2} Q(964);r(25) { ! has_immunity( skol2, skol4 ), !
% 0.90/1.31 has_immunity( skol2, skol3 ) }.
% 0.90/1.31 (1001) {G5,W6,D2,L2,V1,M2} R(387,6) { ! smaller( sigma, X ), greater( X,
% 0.90/1.31 zero ) }.
% 0.90/1.31 (1339) {G6,W6,D2,L2,V1,M2} S(40);r(1001) { greater( X, zero ), !
% 0.90/1.31 smaller_or_equal( sigma, X ) }.
% 0.90/1.31 (1340) {G7,W6,D2,L2,V1,M2} R(1339,167) { ! smaller_or_equal( sigma, X ),
% 0.90/1.31 smaller_or_equal( zero, X ) }.
% 0.90/1.31 (1360) {G8,W6,D2,L2,V1,M2} R(1340,2) { smaller_or_equal( zero, X ), ! sigma
% 0.90/1.31 = X }.
% 0.90/1.31 (1383) {G9,W12,D2,L4,V2,M4} P(3,1360) { smaller_or_equal( zero, Y ), ! X =
% 0.90/1.31 Y, ! greater_or_equal( X, sigma ), greater( X, sigma ) }.
% 0.90/1.31 (1389) {G10,W6,D2,L2,V1,M2} Q(1383);r(389) { smaller_or_equal( zero, X ), !
% 0.90/1.31 greater_or_equal( X, sigma ) }.
% 0.90/1.31 (1424) {G11,W3,D2,L1,V0,M1} R(1389,30) { smaller_or_equal( zero, eta ) }.
% 0.90/1.31 (4663) {G7,W3,D2,L1,V0,M1} S(1000);r(593) { ! has_immunity( skol2, skol3 )
% 0.90/1.31 }.
% 0.90/1.31 (4665) {G8,W3,D2,L1,V0,M1} R(4663,20);d(27);r(51) { ! smaller_or_equal(
% 0.90/1.31 zero, eta ) }.
% 0.90/1.31 (4692) {G12,W0,D0,L0,V0,M0} S(4665);r(1424) { }.
% 0.90/1.31
% 0.90/1.31
% 0.90/1.31 % SZS output end Refutation
% 0.90/1.31 found a proof!
% 0.90/1.31
% 0.90/1.31
% 0.90/1.31 Unprocessed initial clauses:
% 0.90/1.31
% 0.90/1.31 (4694) {G0,W9,D2,L3,V2,M3} { ! smaller_or_equal( X, Y ), smaller( X, Y ),
% 0.90/1.31 X = Y }.
% 0.90/1.31 (4695) {G0,W6,D2,L2,V2,M2} { ! smaller( X, Y ), smaller_or_equal( X, Y )
% 0.90/1.31 }.
% 0.90/1.31 (4696) {G0,W6,D2,L2,V2,M2} { ! X = Y, smaller_or_equal( X, Y ) }.
% 0.90/1.31 (4697) {G0,W9,D2,L3,V2,M3} { ! greater_or_equal( X, Y ), greater( X, Y ),
% 0.90/1.31 X = Y }.
% 0.90/1.31 (4698) {G0,W6,D2,L2,V2,M2} { ! greater( X, Y ), greater_or_equal( X, Y )
% 0.90/1.31 }.
% 0.90/1.31 (4699) {G0,W6,D2,L2,V2,M2} { ! X = Y, greater_or_equal( X, Y ) }.
% 0.90/1.31 (4700) {G0,W6,D2,L2,V2,M2} { ! smaller( X, Y ), greater( Y, X ) }.
% 0.90/1.31 (4701) {G0,W6,D2,L2,V2,M2} { ! greater( Y, X ), smaller( X, Y ) }.
% 0.90/1.31 (4702) {G0,W6,D2,L2,V2,M2} { ! greater( X, Y ), ! greater( Y, X ) }.
% 0.90/1.31 (4703) {G0,W9,D2,L3,V3,M3} { ! greater( X, Z ), ! greater( Z, Y ), greater
% 0.90/1.31 ( X, Y ) }.
% 0.90/1.31 (4704) {G0,W9,D2,L3,V2,M3} { smaller( X, Y ), X = Y, greater( X, Y ) }.
% 0.90/1.31 (4705) {G0,W4,D2,L2,V1,M2} { ! has_endowment( X ), organization( X ) }.
% 0.90/1.31 (4706) {G0,W4,D2,L2,V1,M2} { ! has_endowment( X ), alpha1( X ) }.
% 0.90/1.31 (4707) {G0,W6,D2,L3,V1,M3} { ! organization( X ), ! alpha1( X ),
% 0.90/1.31 has_endowment( X ) }.
% 0.90/1.31 (4708) {G0,W5,D2,L2,V2,M2} { ! alpha1( X ), alpha2( X, Y ) }.
% 0.90/1.31 (4709) {G0,W5,D2,L2,V2,M2} { ! alpha1( X ), alpha3( X, Y ) }.
% 0.90/1.31 (4710) {G0,W10,D3,L3,V1,M3} { ! alpha2( X, skol1( X ) ), ! alpha3( X,
% 0.90/1.31 skol1( X ) ), alpha1( X ) }.
% 0.90/1.31 (4711) {G0,W11,D3,L3,V2,M3} { ! alpha3( X, Y ), ! greater( age( X, Y ),
% 0.90/1.31 eta ), ! has_immunity( X, Y ) }.
% 0.90/1.31 (4712) {G0,W8,D3,L2,V2,M2} { greater( age( X, Y ), eta ), alpha3( X, Y )
% 0.90/1.31 }.
% 0.90/1.31 (4713) {G0,W6,D2,L2,V2,M2} { has_immunity( X, Y ), alpha3( X, Y ) }.
% 0.90/1.31 (4714) {G0,W11,D3,L3,V2,M3} { ! alpha2( X, Y ), ! smaller_or_equal( age( X
% 0.90/1.31 , Y ), eta ), has_immunity( X, Y ) }.
% 0.90/1.31 (4715) {G0,W8,D3,L2,V2,M2} { smaller_or_equal( age( X, Y ), eta ), alpha2
% 0.90/1.31 ( X, Y ) }.
% 0.90/1.31 (4716) {G0,W6,D2,L2,V2,M2} { ! has_immunity( X, Y ), alpha2( X, Y ) }.
% 0.90/1.31 (4717) {G0,W15,D3,L4,V3,M4} { ! organization( X ), ! has_immunity( X, Y )
% 0.90/1.31 , ! has_immunity( X, Z ), hazard_of_mortality( X, Y ) =
% 0.90/1.31 hazard_of_mortality( X, Z ) }.
% 0.90/1.31 (4718) {G0,W15,D3,L4,V3,M4} { ! organization( X ), ! has_immunity( X, Y )
% 0.90/1.31 , has_immunity( X, Z ), greater( hazard_of_mortality( X, Z ),
% 0.90/1.31 hazard_of_mortality( X, Y ) ) }.
% 0.90/1.31 (4719) {G0,W2,D2,L1,V0,M1} { organization( skol2 ) }.
% 0.90/1.31 (4720) {G0,W2,D2,L1,V0,M1} { has_endowment( skol2 ) }.
% 0.90/1.31 (4721) {G0,W5,D3,L1,V0,M1} { age( skol2, skol3 ) = zero }.
% 0.90/1.31 (4722) {G0,W5,D3,L1,V0,M1} { smaller_or_equal( age( skol2, skol4 ), eta )
% 0.90/1.31 }.
% 0.90/1.31 (4723) {G0,W5,D3,L1,V0,M1} { greater( age( skol2, skol5 ), eta ) }.
% 0.90/1.31 (4724) {G0,W3,D2,L1,V0,M1} { greater_or_equal( eta, sigma ) }.
% 0.90/1.31 (4725) {G0,W3,D2,L1,V0,M1} { greater( sigma, zero ) }.
% 0.90/1.31 (4726) {G0,W14,D3,L2,V0,M2} { ! greater( hazard_of_mortality( skol2, skol5
% 0.90/1.31 ), hazard_of_mortality( skol2, skol4 ) ), ! hazard_of_mortality( skol2,
% 0.90/1.31 skol4 ) = hazard_of_mortality( skol2, skol3 ) }.
% 0.90/1.31
% 0.90/1.31
% 0.90/1.31 Total Proof:
% 0.90/1.31
% 0.90/1.31 subsumption: (0) {G0,W9,D2,L3,V2,M3} I { ! smaller_or_equal( X, Y ),
% 0.90/1.31 smaller( X, Y ), X = Y }.
% 0.90/1.31 parent0: (4694) {G0,W9,D2,L3,V2,M3} { ! smaller_or_equal( X, Y ), smaller
% 0.90/1.31 ( X, Y ), X = Y }.
% 0.90/1.31 substitution0:
% 0.90/1.31 X := X
% 0.90/1.31 Y := Y
% 0.90/1.31 end
% 0.90/1.31 permutation0:
% 0.90/1.31 0 ==> 0
% 0.90/1.31 1 ==> 1
% 0.90/1.31 2 ==> 2
% 0.90/1.31 end
% 0.90/1.31
% 0.90/1.31 subsumption: (1) {G0,W6,D2,L2,V2,M2} I { ! smaller( X, Y ),
% 0.90/1.31 smaller_or_equal( X, Y ) }.
% 0.90/1.31 parent0: (4695) {G0,W6,D2,L2,V2,M2} { ! smaller( X, Y ), smaller_or_equal
% 0.90/1.31 ( X, Y ) }.
% 0.90/1.31 substitution0:
% 0.90/1.31 X := X
% 0.90/1.31 Y := Y
% 0.90/1.31 end
% 0.90/1.31 permutation0:
% 0.90/1.31 0 ==> 0
% 0.90/1.31 1 ==> 1
% 0.90/1.31 end
% 0.90/1.31
% 0.90/1.31 subsumption: (2) {G0,W6,D2,L2,V2,M2} I { ! X = Y, smaller_or_equal( X, Y )
% 0.90/1.31 }.
% 0.90/1.31 parent0: (4696) {G0,W6,D2,L2,V2,M2} { ! X = Y, smaller_or_equal( X, Y )
% 0.90/1.31 }.
% 0.90/1.31 substitution0:
% 0.90/1.31 X := X
% 0.90/1.31 Y := Y
% 0.90/1.31 end
% 0.90/1.31 permutation0:
% 0.90/1.31 0 ==> 0
% 0.90/1.31 1 ==> 1
% 0.90/1.31 end
% 0.90/1.31
% 0.90/1.31 subsumption: (3) {G0,W9,D2,L3,V2,M3} I { ! greater_or_equal( X, Y ),
% 0.90/1.31 greater( X, Y ), X = Y }.
% 0.90/1.31 parent0: (4697) {G0,W9,D2,L3,V2,M3} { ! greater_or_equal( X, Y ), greater
% 0.90/1.31 ( X, Y ), X = Y }.
% 0.90/1.31 substitution0:
% 0.90/1.31 X := X
% 0.90/1.31 Y := Y
% 0.90/1.31 end
% 0.90/1.31 permutation0:
% 0.90/1.31 0 ==> 0
% 0.90/1.31 1 ==> 1
% 0.90/1.31 2 ==> 2
% 0.90/1.31 end
% 0.90/1.31
% 0.90/1.31 subsumption: (6) {G0,W6,D2,L2,V2,M2} I { ! smaller( X, Y ), greater( Y, X )
% 0.90/1.31 }.
% 0.90/1.31 parent0: (4700) {G0,W6,D2,L2,V2,M2} { ! smaller( X, Y ), greater( Y, X )
% 0.90/1.31 }.
% 0.90/1.31 substitution0:
% 0.90/1.31 X := X
% 0.90/1.31 Y := Y
% 0.90/1.31 end
% 0.90/1.31 permutation0:
% 0.90/1.31 0 ==> 0
% 0.90/1.31 1 ==> 1
% 0.90/1.31 end
% 0.90/1.31
% 0.90/1.31 subsumption: (7) {G0,W6,D2,L2,V2,M2} I { ! greater( Y, X ), smaller( X, Y )
% 0.90/1.31 }.
% 0.90/1.31 parent0: (4701) {G0,W6,D2,L2,V2,M2} { ! greater( Y, X ), smaller( X, Y )
% 0.90/1.31 }.
% 0.90/1.31 substitution0:
% 0.90/1.31 X := X
% 0.90/1.31 Y := Y
% 0.90/1.31 end
% 0.90/1.31 permutation0:
% 0.90/1.31 0 ==> 0
% 0.90/1.31 1 ==> 1
% 0.90/1.31 end
% 0.90/1.31
% 0.90/1.31 subsumption: (8) {G0,W6,D2,L2,V2,M2} I { ! greater( X, Y ), ! greater( Y, X
% 0.90/1.31 ) }.
% 0.90/1.31 parent0: (4702) {G0,W6,D2,L2,V2,M2} { ! greater( X, Y ), ! greater( Y, X )
% 0.90/1.31 }.
% 0.90/1.31 substitution0:
% 0.90/1.31 X := X
% 0.90/1.31 Y := Y
% 0.90/1.31 end
% 0.90/1.31 permutation0:
% 0.90/1.31 0 ==> 0
% 0.90/1.31 1 ==> 1
% 0.90/1.31 end
% 0.90/1.31
% 0.90/1.31 subsumption: (9) {G0,W9,D2,L3,V3,M3} I { ! greater( X, Z ), ! greater( Z, Y
% 0.90/1.31 ), greater( X, Y ) }.
% 0.90/1.31 parent0: (4703) {G0,W9,D2,L3,V3,M3} { ! greater( X, Z ), ! greater( Z, Y )
% 0.90/1.31 , greater( X, Y ) }.
% 0.90/1.31 substitution0:
% 0.90/1.31 X := X
% 0.90/1.31 Y := Y
% 0.90/1.31 Z := Z
% 0.90/1.31 end
% 0.90/1.31 permutation0:
% 0.90/1.31 0 ==> 0
% 0.90/1.31 1 ==> 1
% 0.90/1.31 2 ==> 2
% 0.90/1.31 end
% 0.90/1.31
% 0.90/1.31 subsumption: (10) {G0,W9,D2,L3,V2,M3} I { smaller( X, Y ), X = Y, greater(
% 0.90/1.31 X, Y ) }.
% 0.90/1.31 parent0: (4704) {G0,W9,D2,L3,V2,M3} { smaller( X, Y ), X = Y, greater( X,
% 0.90/1.31 Y ) }.
% 0.90/1.31 substitution0:
% 0.90/1.31 X := X
% 0.90/1.31 Y := Y
% 0.90/1.31 end
% 0.90/1.31 permutation0:
% 0.90/1.31 0 ==> 0
% 0.90/1.31 1 ==> 1
% 0.90/1.31 2 ==> 2
% 0.90/1.31 end
% 0.90/1.31
% 0.90/1.31 subsumption: (12) {G0,W4,D2,L2,V1,M2} I { ! has_endowment( X ), alpha1( X )
% 0.90/1.31 }.
% 0.90/1.31 parent0: (4706) {G0,W4,D2,L2,V1,M2} { ! has_endowment( X ), alpha1( X )
% 0.90/1.31 }.
% 0.90/1.31 substitution0:
% 0.90/1.31 X := X
% 0.90/1.31 end
% 0.90/1.31 permutation0:
% 0.90/1.31 0 ==> 0
% 0.90/1.31 1 ==> 1
% 0.90/1.31 end
% 0.90/1.31
% 0.90/1.31 subsumption: (14) {G0,W5,D2,L2,V2,M2} I { ! alpha1( X ), alpha2( X, Y ) }.
% 0.90/1.31 parent0: (4708) {G0,W5,D2,L2,V2,M2} { ! alpha1( X ), alpha2( X, Y ) }.
% 0.90/1.31 substitution0:
% 0.90/1.31 X := X
% 0.90/1.31 Y := Y
% 0.90/1.31 end
% 0.90/1.31 permutation0:
% 0.90/1.31 0 ==> 0
% 0.90/1.31 1 ==> 1
% 0.90/1.31 end
% 0.90/1.31
% 0.90/1.31 subsumption: (15) {G0,W5,D2,L2,V2,M2} I { ! alpha1( X ), alpha3( X, Y ) }.
% 0.90/1.31 parent0: (4709) {G0,W5,D2,L2,V2,M2} { ! alpha1( X ), alpha3( X, Y ) }.
% 0.90/1.31 substitution0:
% 0.90/1.31 X := X
% 0.90/1.31 Y := Y
% 0.90/1.31 end
% 0.90/1.31 permutation0:
% 0.90/1.31 0 ==> 0
% 0.90/1.31 1 ==> 1
% 0.90/1.31 end
% 0.90/1.31
% 0.90/1.31 subsumption: (17) {G0,W11,D3,L3,V2,M3} I { ! alpha3( X, Y ), ! greater( age
% 0.90/1.31 ( X, Y ), eta ), ! has_immunity( X, Y ) }.
% 0.90/1.31 parent0: (4711) {G0,W11,D3,L3,V2,M3} { ! alpha3( X, Y ), ! greater( age( X
% 0.90/1.31 , Y ), eta ), ! has_immunity( X, Y ) }.
% 0.90/1.31 substitution0:
% 0.90/1.31 X := X
% 0.90/1.31 Y := Y
% 0.90/1.31 end
% 0.90/1.31 permutation0:
% 0.90/1.31 0 ==> 0
% 0.90/1.31 1 ==> 1
% 0.90/1.31 2 ==> 2
% 0.90/1.31 end
% 0.90/1.31
% 0.90/1.31 subsumption: (20) {G0,W11,D3,L3,V2,M3} I { ! alpha2( X, Y ), !
% 0.90/1.31 smaller_or_equal( age( X, Y ), eta ), has_immunity( X, Y ) }.
% 0.90/1.31 parent0: (4714) {G0,W11,D3,L3,V2,M3} { ! alpha2( X, Y ), !
% 0.90/1.31 smaller_orCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------