TSTP Solution File: SYN721+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN721+1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.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 02:54:12 EDT 2022
% Result : Theorem 0.44s 1.06s
% Output : Refutation 0.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN721+1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Mon Jul 11 20:55:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.44/1.06 *** allocated 10000 integers for termspace/termends
% 0.44/1.06 *** allocated 10000 integers for clauses
% 0.44/1.06 *** allocated 10000 integers for justifications
% 0.44/1.06 Bliksem 1.12
% 0.44/1.06
% 0.44/1.06
% 0.44/1.06 Automatic Strategy Selection
% 0.44/1.06
% 0.44/1.06
% 0.44/1.06 Clauses:
% 0.44/1.06
% 0.44/1.06 { r( a, b ) }.
% 0.44/1.06 { ! r( X, Y ), q( X, X ) }.
% 0.44/1.06 { ! q( Y, X ), r( Z, X ) }.
% 0.44/1.06 { ! r( b, X ), ! q( X, a ) }.
% 0.44/1.06
% 0.44/1.06 percentage equality = 0.000000, percentage horn = 1.000000
% 0.44/1.06 This is a near-Horn, non-equality problem
% 0.44/1.06
% 0.44/1.06
% 0.44/1.06 Options Used:
% 0.44/1.06
% 0.44/1.06 useres = 1
% 0.44/1.06 useparamod = 0
% 0.44/1.06 useeqrefl = 0
% 0.44/1.06 useeqfact = 0
% 0.44/1.06 usefactor = 1
% 0.44/1.06 usesimpsplitting = 0
% 0.44/1.06 usesimpdemod = 0
% 0.44/1.06 usesimpres = 4
% 0.44/1.06
% 0.44/1.06 resimpinuse = 1000
% 0.44/1.06 resimpclauses = 20000
% 0.44/1.06 substype = standard
% 0.44/1.06 backwardsubs = 1
% 0.44/1.06 selectoldest = 5
% 0.44/1.06
% 0.44/1.06 litorderings [0] = split
% 0.44/1.06 litorderings [1] = liftord
% 0.44/1.06
% 0.44/1.06 termordering = none
% 0.44/1.06
% 0.44/1.06 litapriori = 1
% 0.44/1.06 termapriori = 0
% 0.44/1.06 litaposteriori = 0
% 0.44/1.06 termaposteriori = 0
% 0.44/1.06 demodaposteriori = 0
% 0.44/1.06 ordereqreflfact = 0
% 0.44/1.06
% 0.44/1.06 litselect = negative
% 0.44/1.06
% 0.44/1.06 maxweight = 30000
% 0.44/1.06 maxdepth = 30000
% 0.44/1.06 maxlength = 115
% 0.44/1.06 maxnrvars = 195
% 0.44/1.06 excuselevel = 0
% 0.44/1.06 increasemaxweight = 0
% 0.44/1.06
% 0.44/1.06 maxselected = 10000000
% 0.44/1.06 maxnrclauses = 10000000
% 0.44/1.06
% 0.44/1.06 showgenerated = 0
% 0.44/1.06 showkept = 0
% 0.44/1.06 showselected = 0
% 0.44/1.06 showdeleted = 0
% 0.44/1.06 showresimp = 1
% 0.44/1.06 showstatus = 2000
% 0.44/1.06
% 0.44/1.06 prologoutput = 0
% 0.44/1.06 nrgoals = 5000000
% 0.44/1.06 totalproof = 1
% 0.44/1.06
% 0.44/1.06 Symbols occurring in the translation:
% 0.44/1.06
% 0.44/1.06 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.44/1.06 . [1, 2] (w:1, o:19, a:1, s:1, b:0),
% 0.44/1.06 ! [4, 1] (w:1, o:14, a:1, s:1, b:0),
% 0.44/1.06 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.06 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.06 a [35, 0] (w:1, o:6, a:1, s:1, b:0),
% 0.44/1.06 b [36, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.44/1.06 r [37, 2] (w:1, o:44, a:1, s:1, b:0),
% 0.44/1.06 q [40, 2] (w:1, o:43, a:1, s:1, b:0).
% 0.44/1.06
% 0.44/1.06
% 0.44/1.06 Starting Search:
% 0.44/1.06
% 0.44/1.06
% 0.44/1.06 Bliksems!, er is een bewijs:
% 0.44/1.06 % SZS status Theorem
% 0.44/1.06 % SZS output start Refutation
% 0.44/1.06
% 0.44/1.06 (0) {G0,W3,D2,L1,V0,M1} I { r( a, b ) }.
% 0.44/1.06 (1) {G0,W7,D2,L2,V2,M1} I { q( X, X ), ! r( X, Y ) }.
% 0.44/1.06 (2) {G0,W7,D2,L2,V3,M1} I { r( Z, X ), ! q( Y, X ) }.
% 0.44/1.06 (3) {G0,W8,D2,L2,V1,M1} I { ! q( X, a ), ! r( b, X ) }.
% 0.44/1.06 (4) {G1,W3,D2,L1,V0,M1} R(1,0) { q( a, a ) }.
% 0.44/1.06 (5) {G2,W3,D2,L1,V1,M1} R(4,2) { r( X, a ) }.
% 0.44/1.06 (7) {G3,W0,D0,L0,V0,M0} R(3,5);r(4) { }.
% 0.44/1.06
% 0.44/1.06
% 0.44/1.06 % SZS output end Refutation
% 0.44/1.06 found a proof!
% 0.44/1.06
% 0.44/1.06
% 0.44/1.06 Unprocessed initial clauses:
% 0.44/1.06
% 0.44/1.06 (9) {G0,W3,D2,L1,V0,M1} { r( a, b ) }.
% 0.44/1.06 (10) {G0,W7,D2,L2,V2,M2} { ! r( X, Y ), q( X, X ) }.
% 0.44/1.06 (11) {G0,W7,D2,L2,V3,M2} { ! q( Y, X ), r( Z, X ) }.
% 0.44/1.06 (12) {G0,W8,D2,L2,V1,M2} { ! r( b, X ), ! q( X, a ) }.
% 0.44/1.06
% 0.44/1.06
% 0.44/1.06 Total Proof:
% 0.44/1.06
% 0.44/1.06 subsumption: (0) {G0,W3,D2,L1,V0,M1} I { r( a, b ) }.
% 0.44/1.06 parent0: (9) {G0,W3,D2,L1,V0,M1} { r( a, b ) }.
% 0.44/1.06 substitution0:
% 0.44/1.06 end
% 0.44/1.06 permutation0:
% 0.44/1.06 0 ==> 0
% 0.44/1.06 end
% 0.44/1.06
% 0.44/1.06 subsumption: (1) {G0,W7,D2,L2,V2,M1} I { q( X, X ), ! r( X, Y ) }.
% 0.44/1.06 parent0: (10) {G0,W7,D2,L2,V2,M2} { ! r( X, Y ), q( X, X ) }.
% 0.44/1.06 substitution0:
% 0.44/1.06 X := X
% 0.44/1.06 Y := Y
% 0.44/1.06 end
% 0.44/1.06 permutation0:
% 0.44/1.06 0 ==> 1
% 0.44/1.06 1 ==> 0
% 0.44/1.06 end
% 0.44/1.06
% 0.44/1.06 subsumption: (2) {G0,W7,D2,L2,V3,M1} I { r( Z, X ), ! q( Y, X ) }.
% 0.44/1.06 parent0: (11) {G0,W7,D2,L2,V3,M2} { ! q( Y, X ), r( Z, X ) }.
% 0.44/1.06 substitution0:
% 0.44/1.06 X := X
% 0.44/1.06 Y := Y
% 0.44/1.06 Z := Z
% 0.44/1.06 end
% 0.44/1.06 permutation0:
% 0.44/1.06 0 ==> 1
% 0.44/1.06 1 ==> 0
% 0.44/1.06 end
% 0.44/1.06
% 0.44/1.06 subsumption: (3) {G0,W8,D2,L2,V1,M1} I { ! q( X, a ), ! r( b, X ) }.
% 0.44/1.06 parent0: (12) {G0,W8,D2,L2,V1,M2} { ! r( b, X ), ! q( X, a ) }.
% 0.44/1.06 substitution0:
% 0.44/1.06 X := X
% 0.44/1.06 end
% 0.44/1.06 permutation0:
% 0.44/1.06 0 ==> 1
% 0.44/1.06 1 ==> 0
% 0.44/1.06 end
% 0.44/1.06
% 0.44/1.06 resolution: (13) {G1,W3,D2,L1,V0,M1} { q( a, a ) }.
% 0.44/1.06 parent0[1]: (1) {G0,W7,D2,L2,V2,M1} I { q( X, X ), ! r( X, Y ) }.
% 0.44/1.06 parent1[0]: (0) {G0,W3,D2,L1,V0,M1} I { r( a, b ) }.
% 0.44/1.06 substitution0:
% 0.44/1.06 X := a
% 0.44/1.06 Y := b
% 0.44/1.06 end
% 0.44/1.06 substitution1:
% 0.44/1.06 end
% 0.44/1.06
% 0.44/1.06 subsumption: (4) {G1,W3,D2,L1,V0,M1} R(1,0) { q( a, a ) }.
% 0.44/1.06 parent0: (13) {G1,W3,D2,L1,V0,M1} { q( a, a ) }.
% 0.44/1.06 substitution0:
% 0.44/1.06 end
% 0.44/1.06 permutation0:
% 0.44/1.06 0 ==> 0
% 0.44/1.06 end
% 0.44/1.06
% 0.44/1.06 resolution: (14) {G1,W3,D2,L1,V1,M1} { r( X, a ) }.
% 0.44/1.06 parent0[1]: (2) {G0,W7,D2,L2,V3,M1} I { r( Z, X ), ! q( Y, X ) }.
% 0.44/1.06 parent1[0]: (4) {G1,W3,D2,L1,V0,M1} R(1,0) { q( a, a ) }.
% 0.44/1.06 substitution0:
% 0.44/1.06 X := a
% 0.44/1.06 Y := a
% 0.44/1.06 Z := X
% 0.44/1.06 end
% 0.44/1.06 substitution1:
% 0.44/1.06 end
% 0.44/1.06
% 0.44/1.06 subsumption: (5) {G2,W3,D2,L1,V1,M1} R(4,2) { r( X, a ) }.
% 0.44/1.06 parent0: (14) {G1,W3,D2,L1,V1,M1} { r( X, a ) }.
% 0.44/1.06 substitution0:
% 0.44/1.06 X := X
% 0.44/1.06 end
% 0.44/1.06 permutation0:
% 0.44/1.06 0 ==> 0
% 0.44/1.06 end
% 0.44/1.06
% 0.44/1.06 resolution: (15) {G1,W4,D2,L1,V0,M1} { ! q( a, a ) }.
% 0.44/1.06 parent0[1]: (3) {G0,W8,D2,L2,V1,M1} I { ! q( X, a ), ! r( b, X ) }.
% 0.44/1.06 parent1[0]: (5) {G2,W3,D2,L1,V1,M1} R(4,2) { r( X, a ) }.
% 0.44/1.06 substitution0:
% 0.44/1.06 X := a
% 0.44/1.06 end
% 0.44/1.06 substitution1:
% 0.44/1.06 X := b
% 0.44/1.06 end
% 0.44/1.06
% 0.44/1.06 resolution: (16) {G2,W0,D0,L0,V0,M0} { }.
% 0.44/1.06 parent0[0]: (15) {G1,W4,D2,L1,V0,M1} { ! q( a, a ) }.
% 0.44/1.06 parent1[0]: (4) {G1,W3,D2,L1,V0,M1} R(1,0) { q( a, a ) }.
% 0.44/1.06 substitution0:
% 0.44/1.06 end
% 0.44/1.06 substitution1:
% 0.44/1.06 end
% 0.44/1.06
% 0.44/1.06 subsumption: (7) {G3,W0,D0,L0,V0,M0} R(3,5);r(4) { }.
% 0.44/1.06 parent0: (16) {G2,W0,D0,L0,V0,M0} { }.
% 0.44/1.06 substitution0:
% 0.44/1.06 end
% 0.44/1.06 permutation0:
% 0.44/1.06 end
% 0.44/1.06
% 0.44/1.06 Proof check complete!
% 0.44/1.06
% 0.44/1.06 Memory use:
% 0.44/1.06
% 0.44/1.06 space for terms: 111
% 0.44/1.06 space for clauses: 407
% 0.44/1.06
% 0.44/1.06
% 0.44/1.06 clauses generated: 8
% 0.44/1.06 clauses kept: 8
% 0.44/1.06 clauses selected: 6
% 0.44/1.06 clauses deleted: 0
% 0.44/1.06 clauses inuse deleted: 0
% 0.44/1.06
% 0.44/1.06 subsentry: 0
% 0.44/1.06 literals s-matched: 0
% 0.44/1.06 literals matched: 0
% 0.44/1.06 full subsumption: 0
% 0.44/1.06
% 0.44/1.06 checksum: -2147463773
% 0.44/1.06
% 0.44/1.06
% 0.44/1.06 Bliksem ended
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