TSTP Solution File: SYN045+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN045+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n006.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 : Thu Jul 21 02:47:00 EDT 2022
% Result : Theorem 0.90s 1.22s
% Output : Refutation 0.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SYN045+1 : TPTP v8.1.0. Released v2.0.0.
% 0.08/0.15 % Command : bliksem %s
% 0.15/0.36 % Computer : n006.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % DateTime : Mon Jul 11 20:22:35 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.90/1.22 *** allocated 10000 integers for termspace/termends
% 0.90/1.22 *** allocated 10000 integers for clauses
% 0.90/1.22 *** allocated 10000 integers for justifications
% 0.90/1.22 Bliksem 1.12
% 0.90/1.22
% 0.90/1.22
% 0.90/1.22 Automatic Strategy Selection
% 0.90/1.22
% 0.90/1.22
% 0.90/1.22 Clauses:
% 0.90/1.22
% 0.90/1.22 { alpha5, alpha2 }.
% 0.90/1.22 { alpha5, alpha4 }.
% 0.90/1.22 { alpha5, ! alpha1 }.
% 0.90/1.22 { ! alpha5, alpha1 }.
% 0.90/1.22 { ! alpha5, ! alpha2, ! alpha4 }.
% 0.90/1.22 { ! alpha1, alpha2, alpha5 }.
% 0.90/1.22 { ! alpha1, alpha4, alpha5 }.
% 0.90/1.22 { ! alpha4, p, r }.
% 0.90/1.22 { ! p, alpha4 }.
% 0.90/1.22 { ! r, alpha4 }.
% 0.90/1.22 { ! alpha2, p, q }.
% 0.90/1.22 { ! p, alpha2 }.
% 0.90/1.22 { ! q, alpha2 }.
% 0.90/1.22 { ! alpha1, p, alpha3 }.
% 0.90/1.22 { ! p, alpha1 }.
% 0.90/1.22 { ! alpha3, alpha1 }.
% 0.90/1.22 { ! alpha3, q }.
% 0.90/1.22 { ! alpha3, r }.
% 0.90/1.22 { ! q, ! r, alpha3 }.
% 0.90/1.22
% 0.90/1.22 percentage equality = 0.000000, percentage horn = 0.705882
% 0.90/1.22 This a non-horn, non-equality problem
% 0.90/1.22
% 0.90/1.22
% 0.90/1.22 Options Used:
% 0.90/1.22
% 0.90/1.22 useres = 1
% 0.90/1.22 useparamod = 0
% 0.90/1.22 useeqrefl = 0
% 0.90/1.22 useeqfact = 0
% 0.90/1.22 usefactor = 1
% 0.90/1.22 usesimpsplitting = 0
% 0.90/1.22 usesimpdemod = 0
% 0.90/1.22 usesimpres = 3
% 0.90/1.22
% 0.90/1.22 resimpinuse = 1000
% 0.90/1.22 resimpclauses = 20000
% 0.90/1.22 substype = standard
% 0.90/1.22 backwardsubs = 1
% 0.90/1.22 selectoldest = 5
% 0.90/1.22
% 0.90/1.22 litorderings [0] = split
% 0.90/1.22 litorderings [1] = liftord
% 0.90/1.22
% 0.90/1.22 termordering = none
% 0.90/1.22
% 0.90/1.22 litapriori = 1
% 0.90/1.22 termapriori = 0
% 0.90/1.22 litaposteriori = 0
% 0.90/1.22 termaposteriori = 0
% 0.90/1.22 demodaposteriori = 0
% 0.90/1.22 ordereqreflfact = 0
% 0.90/1.22
% 0.90/1.22 litselect = none
% 0.90/1.22
% 0.90/1.22 maxweight = 15
% 0.90/1.22 maxdepth = 30000
% 0.90/1.22 maxlength = 115
% 0.90/1.22 maxnrvars = 195
% 0.90/1.22 excuselevel = 1
% 0.90/1.22 increasemaxweight = 1
% 0.90/1.22
% 0.90/1.22 maxselected = 10000000
% 0.90/1.22 maxnrclauses = 10000000
% 0.90/1.22
% 0.90/1.22 showgenerated = 0
% 0.90/1.22 showkept = 0
% 0.90/1.22 showselected = 0
% 0.90/1.22 showdeleted = 0
% 0.90/1.22 showresimp = 1
% 0.90/1.22 showstatus = 2000
% 0.90/1.22
% 0.90/1.22 prologoutput = 0
% 0.90/1.22 nrgoals = 5000000
% 0.90/1.22 totalproof = 1
% 0.90/1.22
% 0.90/1.22 Symbols occurring in the translation:
% 0.90/1.22
% 0.90/1.22 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.90/1.22 . [1, 2] (w:1, o:19, a:1, s:1, b:0),
% 0.90/1.22 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.90/1.22 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.90/1.22 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.90/1.22 p [35, 0] (w:1, o:6, a:1, s:1, b:0),
% 0.90/1.22 q [36, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.90/1.22 r [37, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.90/1.22 alpha1 [38, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.90/1.22 alpha2 [39, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.90/1.22 alpha3 [40, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.90/1.22 alpha4 [41, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.90/1.22 alpha5 [42, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.90/1.22
% 0.90/1.22
% 0.90/1.22 Starting Search:
% 0.90/1.22
% 0.90/1.22
% 0.90/1.22 Bliksems!, er is een bewijs:
% 0.90/1.22 % SZS status Theorem
% 0.90/1.22 % SZS output start Refutation
% 0.90/1.22
% 0.90/1.22 (0) {G0,W2,D1,L2,V0,M1} I { alpha2, alpha5 }.
% 0.90/1.22 (1) {G0,W2,D1,L2,V0,M1} I { alpha4, alpha5 }.
% 0.90/1.22 (2) {G0,W2,D1,L2,V0,M1} I { alpha5, ! alpha1 }.
% 0.90/1.22 (3) {G0,W2,D1,L2,V0,M1} I { alpha1, ! alpha5 }.
% 0.90/1.22 (4) {G0,W3,D1,L3,V0,M1} I { ! alpha2, ! alpha4, ! alpha5 }.
% 0.90/1.22 (5) {G0,W3,D1,L3,V0,M1} I { p, r, ! alpha4 }.
% 0.90/1.22 (6) {G0,W2,D1,L2,V0,M1} I { alpha4, ! p }.
% 0.90/1.22 (7) {G0,W2,D1,L2,V0,M1} I { alpha4, ! r }.
% 0.90/1.22 (8) {G0,W3,D1,L3,V0,M1} I { p, q, ! alpha2 }.
% 0.90/1.22 (9) {G0,W2,D1,L2,V0,M1} I { alpha2, ! p }.
% 0.90/1.22 (10) {G0,W2,D1,L2,V0,M1} I { alpha2, ! q }.
% 0.90/1.22 (11) {G0,W3,D1,L3,V0,M1} I { p, alpha3, ! alpha1 }.
% 0.90/1.22 (12) {G0,W2,D1,L2,V0,M1} I { alpha1, ! p }.
% 0.90/1.22 (13) {G0,W2,D1,L2,V0,M1} I { alpha1, ! alpha3 }.
% 0.90/1.22 (14) {G0,W2,D1,L2,V0,M1} I { q, ! alpha3 }.
% 0.90/1.23 (15) {G0,W2,D1,L2,V0,M1} I { r, ! alpha3 }.
% 0.90/1.23 (16) {G0,W3,D1,L3,V0,M1} I { ! q, alpha3, ! r }.
% 0.90/1.23 (17) {G1,W2,D1,L2,V0,M1} R(3,0) { alpha1, alpha2 }.
% 0.90/1.23 (18) {G1,W2,D1,L2,V0,M1} R(1,3) { alpha1, alpha4 }.
% 0.90/1.23 (19) {G2,W2,D1,L2,V0,M1} R(8,17);r(12) { q, alpha1 }.
% 0.90/1.23 (20) {G3,W2,D1,L2,V0,M1} R(19,11);r(14) { p, q }.
% 0.90/1.23 (22) {G4,W1,D1,L1,V0,M1} R(20,10);r(9) { alpha2 }.
% 0.90/1.23 (23) {G2,W2,D1,L2,V0,M1} R(5,18);r(12) { r, alpha1 }.
% 0.90/1.23 (24) {G3,W2,D1,L2,V0,M1} R(23,11);r(15) { p, r }.
% 0.90/1.23 (26) {G4,W2,D1,L2,V0,M1} R(24,16);r(20) { p, alpha3 }.
% 0.90/1.23 (27) {G4,W1,D1,L1,V0,M1} R(24,7);r(6) { alpha4 }.
% 0.90/1.23 (30) {G5,W1,D1,L1,V0,M1} R(26,13);r(12) { alpha1 }.
% 0.90/1.23 (31) {G6,W1,D1,L1,V0,M1} R(30,2) { alpha5 }.
% 0.90/1.23 (32) {G7,W1,D1,L1,V0,M1} R(31,4);r(22) { ! alpha4 }.
% 0.90/1.23 (33) {G8,W0,D0,L0,V0,M0} S(32);r(27) { }.
% 0.90/1.23
% 0.90/1.23
% 0.90/1.23 % SZS output end Refutation
% 0.90/1.23 found a proof!
% 0.90/1.23
% 0.90/1.23
% 0.90/1.23 Unprocessed initial clauses:
% 0.90/1.23
% 0.90/1.23 (35) {G0,W2,D1,L2,V0,M2} { alpha5, alpha2 }.
% 0.90/1.23 (36) {G0,W2,D1,L2,V0,M2} { alpha5, alpha4 }.
% 0.90/1.23 (37) {G0,W2,D1,L2,V0,M2} { alpha5, ! alpha1 }.
% 0.90/1.23 (38) {G0,W2,D1,L2,V0,M2} { ! alpha5, alpha1 }.
% 0.90/1.23 (39) {G0,W3,D1,L3,V0,M3} { ! alpha5, ! alpha2, ! alpha4 }.
% 0.90/1.23 (40) {G0,W3,D1,L3,V0,M3} { ! alpha1, alpha2, alpha5 }.
% 0.90/1.23 (41) {G0,W3,D1,L3,V0,M3} { ! alpha1, alpha4, alpha5 }.
% 0.90/1.23 (42) {G0,W3,D1,L3,V0,M3} { ! alpha4, p, r }.
% 0.90/1.23 (43) {G0,W2,D1,L2,V0,M2} { ! p, alpha4 }.
% 0.90/1.23 (44) {G0,W2,D1,L2,V0,M2} { ! r, alpha4 }.
% 0.90/1.23 (45) {G0,W3,D1,L3,V0,M3} { ! alpha2, p, q }.
% 0.90/1.23 (46) {G0,W2,D1,L2,V0,M2} { ! p, alpha2 }.
% 0.90/1.23 (47) {G0,W2,D1,L2,V0,M2} { ! q, alpha2 }.
% 0.90/1.23 (48) {G0,W3,D1,L3,V0,M3} { ! alpha1, p, alpha3 }.
% 0.90/1.23 (49) {G0,W2,D1,L2,V0,M2} { ! p, alpha1 }.
% 0.90/1.23 (50) {G0,W2,D1,L2,V0,M2} { ! alpha3, alpha1 }.
% 0.90/1.23 (51) {G0,W2,D1,L2,V0,M2} { ! alpha3, q }.
% 0.90/1.23 (52) {G0,W2,D1,L2,V0,M2} { ! alpha3, r }.
% 0.90/1.23 (53) {G0,W3,D1,L3,V0,M3} { ! q, ! r, alpha3 }.
% 0.90/1.23
% 0.90/1.23
% 0.90/1.23 Total Proof:
% 0.90/1.23
% 0.90/1.23 subsumption: (0) {G0,W2,D1,L2,V0,M1} I { alpha2, alpha5 }.
% 0.90/1.23 parent0: (35) {G0,W2,D1,L2,V0,M2} { alpha5, alpha2 }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 permutation0:
% 0.90/1.23 0 ==> 1
% 0.90/1.23 1 ==> 0
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 subsumption: (1) {G0,W2,D1,L2,V0,M1} I { alpha4, alpha5 }.
% 0.90/1.23 parent0: (36) {G0,W2,D1,L2,V0,M2} { alpha5, alpha4 }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 permutation0:
% 0.90/1.23 0 ==> 1
% 0.90/1.23 1 ==> 0
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 subsumption: (2) {G0,W2,D1,L2,V0,M1} I { alpha5, ! alpha1 }.
% 0.90/1.23 parent0: (37) {G0,W2,D1,L2,V0,M2} { alpha5, ! alpha1 }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 permutation0:
% 0.90/1.23 0 ==> 0
% 0.90/1.23 1 ==> 1
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 subsumption: (3) {G0,W2,D1,L2,V0,M1} I { alpha1, ! alpha5 }.
% 0.90/1.23 parent0: (38) {G0,W2,D1,L2,V0,M2} { ! alpha5, alpha1 }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 permutation0:
% 0.90/1.23 0 ==> 1
% 0.90/1.23 1 ==> 0
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 subsumption: (4) {G0,W3,D1,L3,V0,M1} I { ! alpha2, ! alpha4, ! alpha5 }.
% 0.90/1.23 parent0: (39) {G0,W3,D1,L3,V0,M3} { ! alpha5, ! alpha2, ! alpha4 }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 permutation0:
% 0.90/1.23 0 ==> 2
% 0.90/1.23 1 ==> 0
% 0.90/1.23 2 ==> 1
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 subsumption: (5) {G0,W3,D1,L3,V0,M1} I { p, r, ! alpha4 }.
% 0.90/1.23 parent0: (42) {G0,W3,D1,L3,V0,M3} { ! alpha4, p, r }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 permutation0:
% 0.90/1.23 0 ==> 2
% 0.90/1.23 1 ==> 0
% 0.90/1.23 2 ==> 1
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 subsumption: (6) {G0,W2,D1,L2,V0,M1} I { alpha4, ! p }.
% 0.90/1.23 parent0: (43) {G0,W2,D1,L2,V0,M2} { ! p, alpha4 }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 permutation0:
% 0.90/1.23 0 ==> 1
% 0.90/1.23 1 ==> 0
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 subsumption: (7) {G0,W2,D1,L2,V0,M1} I { alpha4, ! r }.
% 0.90/1.23 parent0: (44) {G0,W2,D1,L2,V0,M2} { ! r, alpha4 }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 permutation0:
% 0.90/1.23 0 ==> 1
% 0.90/1.23 1 ==> 0
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 subsumption: (8) {G0,W3,D1,L3,V0,M1} I { p, q, ! alpha2 }.
% 0.90/1.23 parent0: (45) {G0,W3,D1,L3,V0,M3} { ! alpha2, p, q }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 permutation0:
% 0.90/1.23 0 ==> 2
% 0.90/1.23 1 ==> 0
% 0.90/1.23 2 ==> 1
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 subsumption: (9) {G0,W2,D1,L2,V0,M1} I { alpha2, ! p }.
% 0.90/1.23 parent0: (46) {G0,W2,D1,L2,V0,M2} { ! p, alpha2 }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 permutation0:
% 0.90/1.23 0 ==> 1
% 0.90/1.23 1 ==> 0
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 subsumption: (10) {G0,W2,D1,L2,V0,M1} I { alpha2, ! q }.
% 0.90/1.23 parent0: (47) {G0,W2,D1,L2,V0,M2} { ! q, alpha2 }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 permutation0:
% 0.90/1.23 0 ==> 1
% 0.90/1.23 1 ==> 0
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 subsumption: (11) {G0,W3,D1,L3,V0,M1} I { p, alpha3, ! alpha1 }.
% 0.90/1.23 parent0: (48) {G0,W3,D1,L3,V0,M3} { ! alpha1, p, alpha3 }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 permutation0:
% 0.90/1.23 0 ==> 2
% 0.90/1.23 1 ==> 0
% 0.90/1.23 2 ==> 1
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 subsumption: (12) {G0,W2,D1,L2,V0,M1} I { alpha1, ! p }.
% 0.90/1.23 parent0: (49) {G0,W2,D1,L2,V0,M2} { ! p, alpha1 }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 permutation0:
% 0.90/1.23 0 ==> 1
% 0.90/1.23 1 ==> 0
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 subsumption: (13) {G0,W2,D1,L2,V0,M1} I { alpha1, ! alpha3 }.
% 0.90/1.23 parent0: (50) {G0,W2,D1,L2,V0,M2} { ! alpha3, alpha1 }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 permutation0:
% 0.90/1.23 0 ==> 1
% 0.90/1.23 1 ==> 0
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 subsumption: (14) {G0,W2,D1,L2,V0,M1} I { q, ! alpha3 }.
% 0.90/1.23 parent0: (51) {G0,W2,D1,L2,V0,M2} { ! alpha3, q }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 permutation0:
% 0.90/1.23 0 ==> 1
% 0.90/1.23 1 ==> 0
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 subsumption: (15) {G0,W2,D1,L2,V0,M1} I { r, ! alpha3 }.
% 0.90/1.23 parent0: (52) {G0,W2,D1,L2,V0,M2} { ! alpha3, r }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 permutation0:
% 0.90/1.23 0 ==> 1
% 0.90/1.23 1 ==> 0
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 subsumption: (16) {G0,W3,D1,L3,V0,M1} I { ! q, alpha3, ! r }.
% 0.90/1.23 parent0: (53) {G0,W3,D1,L3,V0,M3} { ! q, ! r, alpha3 }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 permutation0:
% 0.90/1.23 0 ==> 0
% 0.90/1.23 1 ==> 2
% 0.90/1.23 2 ==> 1
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 resolution: (54) {G1,W2,D1,L2,V0,M2} { alpha1, alpha2 }.
% 0.90/1.23 parent0[1]: (3) {G0,W2,D1,L2,V0,M1} I { alpha1, ! alpha5 }.
% 0.90/1.23 parent1[1]: (0) {G0,W2,D1,L2,V0,M1} I { alpha2, alpha5 }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 substitution1:
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 subsumption: (17) {G1,W2,D1,L2,V0,M1} R(3,0) { alpha1, alpha2 }.
% 0.90/1.23 parent0: (54) {G1,W2,D1,L2,V0,M2} { alpha1, alpha2 }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 permutation0:
% 0.90/1.23 0 ==> 0
% 0.90/1.23 1 ==> 1
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 resolution: (55) {G1,W2,D1,L2,V0,M2} { alpha1, alpha4 }.
% 0.90/1.23 parent0[1]: (3) {G0,W2,D1,L2,V0,M1} I { alpha1, ! alpha5 }.
% 0.90/1.23 parent1[1]: (1) {G0,W2,D1,L2,V0,M1} I { alpha4, alpha5 }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 substitution1:
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 subsumption: (18) {G1,W2,D1,L2,V0,M1} R(1,3) { alpha1, alpha4 }.
% 0.90/1.23 parent0: (55) {G1,W2,D1,L2,V0,M2} { alpha1, alpha4 }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 permutation0:
% 0.90/1.23 0 ==> 0
% 0.90/1.23 1 ==> 1
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 resolution: (56) {G1,W3,D1,L3,V0,M3} { p, q, alpha1 }.
% 0.90/1.23 parent0[2]: (8) {G0,W3,D1,L3,V0,M1} I { p, q, ! alpha2 }.
% 0.90/1.23 parent1[1]: (17) {G1,W2,D1,L2,V0,M1} R(3,0) { alpha1, alpha2 }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 substitution1:
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 resolution: (57) {G1,W3,D1,L3,V0,M3} { alpha1, q, alpha1 }.
% 0.90/1.23 parent0[1]: (12) {G0,W2,D1,L2,V0,M1} I { alpha1, ! p }.
% 0.90/1.23 parent1[0]: (56) {G1,W3,D1,L3,V0,M3} { p, q, alpha1 }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 substitution1:
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 factor: (58) {G1,W2,D1,L2,V0,M2} { alpha1, q }.
% 0.90/1.23 parent0[0, 2]: (57) {G1,W3,D1,L3,V0,M3} { alpha1, q, alpha1 }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 subsumption: (19) {G2,W2,D1,L2,V0,M1} R(8,17);r(12) { q, alpha1 }.
% 0.90/1.23 parent0: (58) {G1,W2,D1,L2,V0,M2} { alpha1, q }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 permutation0:
% 0.90/1.23 0 ==> 1
% 0.90/1.23 1 ==> 0
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 resolution: (59) {G1,W3,D1,L3,V0,M3} { p, alpha3, q }.
% 0.90/1.23 parent0[2]: (11) {G0,W3,D1,L3,V0,M1} I { p, alpha3, ! alpha1 }.
% 0.90/1.23 parent1[1]: (19) {G2,W2,D1,L2,V0,M1} R(8,17);r(12) { q, alpha1 }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 substitution1:
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 resolution: (60) {G1,W3,D1,L3,V0,M3} { q, p, q }.
% 0.90/1.23 parent0[1]: (14) {G0,W2,D1,L2,V0,M1} I { q, ! alpha3 }.
% 0.90/1.23 parent1[1]: (59) {G1,W3,D1,L3,V0,M3} { p, alpha3, q }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 substitution1:
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 factor: (61) {G1,W2,D1,L2,V0,M2} { q, p }.
% 0.90/1.23 parent0[0, 2]: (60) {G1,W3,D1,L3,V0,M3} { q, p, q }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 subsumption: (20) {G3,W2,D1,L2,V0,M1} R(19,11);r(14) { p, q }.
% 0.90/1.23 parent0: (61) {G1,W2,D1,L2,V0,M2} { q, p }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 permutation0:
% 0.90/1.23 0 ==> 1
% 0.90/1.23 1 ==> 0
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 resolution: (62) {G1,W2,D1,L2,V0,M2} { alpha2, p }.
% 0.90/1.23 parent0[1]: (10) {G0,W2,D1,L2,V0,M1} I { alpha2, ! q }.
% 0.90/1.23 parent1[1]: (20) {G3,W2,D1,L2,V0,M1} R(19,11);r(14) { p, q }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 substitution1:
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 resolution: (63) {G1,W2,D1,L2,V0,M2} { alpha2, alpha2 }.
% 0.90/1.23 parent0[1]: (9) {G0,W2,D1,L2,V0,M1} I { alpha2, ! p }.
% 0.90/1.23 parent1[1]: (62) {G1,W2,D1,L2,V0,M2} { alpha2, p }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 substitution1:
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 factor: (64) {G1,W1,D1,L1,V0,M1} { alpha2 }.
% 0.90/1.23 parent0[0, 1]: (63) {G1,W2,D1,L2,V0,M2} { alpha2, alpha2 }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 subsumption: (22) {G4,W1,D1,L1,V0,M1} R(20,10);r(9) { alpha2 }.
% 0.90/1.23 parent0: (64) {G1,W1,D1,L1,V0,M1} { alpha2 }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 permutation0:
% 0.90/1.23 0 ==> 0
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 resolution: (65) {G1,W3,D1,L3,V0,M3} { p, r, alpha1 }.
% 0.90/1.23 parent0[2]: (5) {G0,W3,D1,L3,V0,M1} I { p, r, ! alpha4 }.
% 0.90/1.23 parent1[1]: (18) {G1,W2,D1,L2,V0,M1} R(1,3) { alpha1, alpha4 }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 substitution1:
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 resolution: (66) {G1,W3,D1,L3,V0,M3} { alpha1, r, alpha1 }.
% 0.90/1.23 parent0[1]: (12) {G0,W2,D1,L2,V0,M1} I { alpha1, ! p }.
% 0.90/1.23 parent1[0]: (65) {G1,W3,D1,L3,V0,M3} { p, r, alpha1 }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 substitution1:
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 factor: (67) {G1,W2,D1,L2,V0,M2} { alpha1, r }.
% 0.90/1.23 parent0[0, 2]: (66) {G1,W3,D1,L3,V0,M3} { alpha1, r, alpha1 }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 subsumption: (23) {G2,W2,D1,L2,V0,M1} R(5,18);r(12) { r, alpha1 }.
% 0.90/1.23 parent0: (67) {G1,W2,D1,L2,V0,M2} { alpha1, r }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 permutation0:
% 0.90/1.23 0 ==> 1
% 0.90/1.23 1 ==> 0
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 resolution: (68) {G1,W3,D1,L3,V0,M3} { p, alpha3, r }.
% 0.90/1.23 parent0[2]: (11) {G0,W3,D1,L3,V0,M1} I { p, alpha3, ! alpha1 }.
% 0.90/1.23 parent1[1]: (23) {G2,W2,D1,L2,V0,M1} R(5,18);r(12) { r, alpha1 }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 substitution1:
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 resolution: (69) {G1,W3,D1,L3,V0,M3} { r, p, r }.
% 0.90/1.23 parent0[1]: (15) {G0,W2,D1,L2,V0,M1} I { r, ! alpha3 }.
% 0.90/1.23 parent1[1]: (68) {G1,W3,D1,L3,V0,M3} { p, alpha3, r }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 substitution1:
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 factor: (70) {G1,W2,D1,L2,V0,M2} { r, p }.
% 0.90/1.23 parent0[0, 2]: (69) {G1,W3,D1,L3,V0,M3} { r, p, r }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 subsumption: (24) {G3,W2,D1,L2,V0,M1} R(23,11);r(15) { p, r }.
% 0.90/1.23 parent0: (70) {G1,W2,D1,L2,V0,M2} { r, p }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 permutation0:
% 0.90/1.23 0 ==> 1
% 0.90/1.23 1 ==> 0
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 resolution: (71) {G1,W3,D1,L3,V0,M3} { ! q, alpha3, p }.
% 0.90/1.23 parent0[2]: (16) {G0,W3,D1,L3,V0,M1} I { ! q, alpha3, ! r }.
% 0.90/1.23 parent1[1]: (24) {G3,W2,D1,L2,V0,M1} R(23,11);r(15) { p, r }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 substitution1:
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 resolution: (72) {G2,W3,D1,L3,V0,M3} { alpha3, p, p }.
% 0.90/1.23 parent0[0]: (71) {G1,W3,D1,L3,V0,M3} { ! q, alpha3, p }.
% 0.90/1.23 parent1[1]: (20) {G3,W2,D1,L2,V0,M1} R(19,11);r(14) { p, q }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 substitution1:
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 factor: (73) {G2,W2,D1,L2,V0,M2} { alpha3, p }.
% 0.90/1.23 parent0[1, 2]: (72) {G2,W3,D1,L3,V0,M3} { alpha3, p, p }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 subsumption: (26) {G4,W2,D1,L2,V0,M1} R(24,16);r(20) { p, alpha3 }.
% 0.90/1.23 parent0: (73) {G2,W2,D1,L2,V0,M2} { alpha3, p }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 permutation0:
% 0.90/1.23 0 ==> 1
% 0.90/1.23 1 ==> 0
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 resolution: (74) {G1,W2,D1,L2,V0,M2} { alpha4, p }.
% 0.90/1.23 parent0[1]: (7) {G0,W2,D1,L2,V0,M1} I { alpha4, ! r }.
% 0.90/1.23 parent1[1]: (24) {G3,W2,D1,L2,V0,M1} R(23,11);r(15) { p, r }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 substitution1:
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 resolution: (75) {G1,W2,D1,L2,V0,M2} { alpha4, alpha4 }.
% 0.90/1.23 parent0[1]: (6) {G0,W2,D1,L2,V0,M1} I { alpha4, ! p }.
% 0.90/1.23 parent1[1]: (74) {G1,W2,D1,L2,V0,M2} { alpha4, p }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 substitution1:
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 factor: (76) {G1,W1,D1,L1,V0,M1} { alpha4 }.
% 0.90/1.23 parent0[0, 1]: (75) {G1,W2,D1,L2,V0,M2} { alpha4, alpha4 }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 subsumption: (27) {G4,W1,D1,L1,V0,M1} R(24,7);r(6) { alpha4 }.
% 0.90/1.23 parent0: (76) {G1,W1,D1,L1,V0,M1} { alpha4 }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 permutation0:
% 0.90/1.23 0 ==> 0
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 resolution: (77) {G1,W2,D1,L2,V0,M2} { alpha1, p }.
% 0.90/1.23 parent0[1]: (13) {G0,W2,D1,L2,V0,M1} I { alpha1, ! alpha3 }.
% 0.90/1.23 parent1[1]: (26) {G4,W2,D1,L2,V0,M1} R(24,16);r(20) { p, alpha3 }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 substitution1:
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 resolution: (78) {G1,W2,D1,L2,V0,M2} { alpha1, alpha1 }.
% 0.90/1.23 parent0[1]: (12) {G0,W2,D1,L2,V0,M1} I { alpha1, ! p }.
% 0.90/1.23 parent1[1]: (77) {G1,W2,D1,L2,V0,M2} { alpha1, p }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 substitution1:
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 factor: (79) {G1,W1,D1,L1,V0,M1} { alpha1 }.
% 0.90/1.23 parent0[0, 1]: (78) {G1,W2,D1,L2,V0,M2} { alpha1, alpha1 }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 subsumption: (30) {G5,W1,D1,L1,V0,M1} R(26,13);r(12) { alpha1 }.
% 0.90/1.23 parent0: (79) {G1,W1,D1,L1,V0,M1} { alpha1 }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 permutation0:
% 0.90/1.23 0 ==> 0
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 resolution: (80) {G1,W1,D1,L1,V0,M1} { alpha5 }.
% 0.90/1.23 parent0[1]: (2) {G0,W2,D1,L2,V0,M1} I { alpha5, ! alpha1 }.
% 0.90/1.23 parent1[0]: (30) {G5,W1,D1,L1,V0,M1} R(26,13);r(12) { alpha1 }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 substitution1:
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 subsumption: (31) {G6,W1,D1,L1,V0,M1} R(30,2) { alpha5 }.
% 0.90/1.23 parent0: (80) {G1,W1,D1,L1,V0,M1} { alpha5 }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 permutation0:
% 0.90/1.23 0 ==> 0
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 resolution: (81) {G1,W2,D1,L2,V0,M2} { ! alpha2, ! alpha4 }.
% 0.90/1.23 parent0[2]: (4) {G0,W3,D1,L3,V0,M1} I { ! alpha2, ! alpha4, ! alpha5 }.
% 0.90/1.23 parent1[0]: (31) {G6,W1,D1,L1,V0,M1} R(30,2) { alpha5 }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 substitution1:
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 resolution: (82) {G2,W1,D1,L1,V0,M1} { ! alpha4 }.
% 0.90/1.23 parent0[0]: (81) {G1,W2,D1,L2,V0,M2} { ! alpha2, ! alpha4 }.
% 0.90/1.23 parent1[0]: (22) {G4,W1,D1,L1,V0,M1} R(20,10);r(9) { alpha2 }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 substitution1:
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 subsumption: (32) {G7,W1,D1,L1,V0,M1} R(31,4);r(22) { ! alpha4 }.
% 0.90/1.23 parent0: (82) {G2,W1,D1,L1,V0,M1} { ! alpha4 }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 permutation0:
% 0.90/1.23 0 ==> 0
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 resolution: (83) {G5,W0,D0,L0,V0,M0} { }.
% 0.90/1.23 parent0[0]: (32) {G7,W1,D1,L1,V0,M1} R(31,4);r(22) { ! alpha4 }.
% 0.90/1.23 parent1[0]: (27) {G4,W1,D1,L1,V0,M1} R(24,7);r(6) { alpha4 }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 substitution1:
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 subsumption: (33) {G8,W0,D0,L0,V0,M0} S(32);r(27) { }.
% 0.90/1.23 parent0: (83) {G5,W0,D0,L0,V0,M0} { }.
% 0.90/1.23 substitution0:
% 0.90/1.23 end
% 0.90/1.23 permutation0:
% 0.90/1.23 end
% 0.90/1.23
% 0.90/1.23 Proof check complete!
% 0.90/1.23
% 0.90/1.23 Memory use:
% 0.90/1.23
% 0.90/1.23 space for terms: 229
% 0.90/1.23 space for clauses: 1419
% 0.90/1.23
% 0.90/1.23
% 0.90/1.23 clauses generated: 46
% 0.90/1.23 clauses kept: 34
% 0.90/1.23 clauses selected: 30
% 0.90/1.23 clauses deleted: 3
% 0.90/1.23 clauses inuse deleted: 0
% 0.90/1.23
% 0.90/1.23 subsentry: 11
% 0.90/1.23 literals s-matched: 11
% 0.90/1.23 literals matched: 11
% 0.90/1.23 full subsumption: 0
% 0.90/1.23
% 0.90/1.23 checksum: -4182
% 0.90/1.23
% 0.90/1.23
% 0.90/1.23 Bliksem ended
%------------------------------------------------------------------------------