TSTP Solution File: SYN940+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN940+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n023.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 02:58:17 EDT 2022
% Result : Theorem 0.74s 1.12s
% Output : Refutation 0.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYN940+1 : TPTP v8.1.0. Released v3.1.0.
% 0.10/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Tue Jul 12 06:49:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.74/1.12 *** allocated 10000 integers for termspace/termends
% 0.74/1.12 *** allocated 10000 integers for clauses
% 0.74/1.12 *** allocated 10000 integers for justifications
% 0.74/1.12 Bliksem 1.12
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 Automatic Strategy Selection
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 Clauses:
% 0.74/1.12
% 0.74/1.12 { q( f( X ) ) }.
% 0.74/1.12 { p( f( Y ) ), ! q( X ) }.
% 0.74/1.12 { ! p( X ), r( Y ), ! q( X ) }.
% 0.74/1.12 { ! p( X ), ! r( skol1 ), ! r( skol2 ), ! q( X ) }.
% 0.74/1.12
% 0.74/1.12 percentage equality = 0.000000, percentage horn = 1.000000
% 0.74/1.12 This is a near-Horn, non-equality problem
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 Options Used:
% 0.74/1.12
% 0.74/1.12 useres = 1
% 0.74/1.12 useparamod = 0
% 0.74/1.12 useeqrefl = 0
% 0.74/1.12 useeqfact = 0
% 0.74/1.12 usefactor = 1
% 0.74/1.12 usesimpsplitting = 0
% 0.74/1.12 usesimpdemod = 0
% 0.74/1.12 usesimpres = 4
% 0.74/1.12
% 0.74/1.12 resimpinuse = 1000
% 0.74/1.12 resimpclauses = 20000
% 0.74/1.12 substype = standard
% 0.74/1.12 backwardsubs = 1
% 0.74/1.12 selectoldest = 5
% 0.74/1.12
% 0.74/1.12 litorderings [0] = split
% 0.74/1.12 litorderings [1] = liftord
% 0.74/1.12
% 0.74/1.12 termordering = none
% 0.74/1.12
% 0.74/1.12 litapriori = 1
% 0.74/1.12 termapriori = 0
% 0.74/1.12 litaposteriori = 0
% 0.74/1.12 termaposteriori = 0
% 0.74/1.12 demodaposteriori = 0
% 0.74/1.12 ordereqreflfact = 0
% 0.74/1.12
% 0.74/1.12 litselect = negative
% 0.74/1.12
% 0.74/1.12 maxweight = 30000
% 0.74/1.12 maxdepth = 30000
% 0.74/1.12 maxlength = 115
% 0.74/1.12 maxnrvars = 195
% 0.74/1.12 excuselevel = 0
% 0.74/1.12 increasemaxweight = 0
% 0.74/1.12
% 0.74/1.12 maxselected = 10000000
% 0.74/1.12 maxnrclauses = 10000000
% 0.74/1.12
% 0.74/1.12 showgenerated = 0
% 0.74/1.12 showkept = 0
% 0.74/1.12 showselected = 0
% 0.74/1.12 showdeleted = 0
% 0.74/1.12 showresimp = 1
% 0.74/1.12 showstatus = 2000
% 0.74/1.12
% 0.74/1.12 prologoutput = 0
% 0.74/1.12 nrgoals = 5000000
% 0.74/1.12 totalproof = 1
% 0.74/1.12
% 0.74/1.12 Symbols occurring in the translation:
% 0.74/1.12
% 0.74/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.74/1.12 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.74/1.12 ! [4, 1] (w:1, o:13, a:1, s:1, b:0),
% 0.74/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.12 f [38, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.74/1.12 q [39, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.74/1.12 p [42, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.74/1.12 r [43, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.74/1.12 skol1 [44, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.74/1.12 skol2 [45, 0] (w:1, o:12, a:1, s:1, b:0).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 Starting Search:
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 Bliksems!, er is een bewijs:
% 0.74/1.12 % SZS status Theorem
% 0.74/1.12 % SZS output start Refutation
% 0.74/1.12
% 0.74/1.12 (0) {G0,W3,D3,L1,V1,M1} I { q( f( X ) ) }.
% 0.74/1.12 (1) {G0,W6,D3,L2,V2,M1} I { p( f( Y ) ), ! q( X ) }.
% 0.74/1.12 (2) {G0,W8,D2,L3,V2,M1} I { ! p( X ), r( Y ), ! q( X ) }.
% 0.74/1.12 (3) {G0,W12,D2,L4,V1,M1} I { ! p( X ), ! r( skol1 ), ! r( skol2 ), ! q( X )
% 0.74/1.12 }.
% 0.74/1.12 (4) {G1,W3,D3,L1,V1,M1} R(1,0) { p( f( X ) ) }.
% 0.74/1.12 (5) {G2,W2,D2,L1,V1,M1} R(2,0);r(4) { r( Y ) }.
% 0.74/1.12 (6) {G3,W6,D2,L2,V1,M1} S(3);r(5);r(5) { ! p( X ), ! q( X ) }.
% 0.74/1.12 (7) {G4,W0,D0,L0,V0,M0} R(6,0);r(4) { }.
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 % SZS output end Refutation
% 0.74/1.12 found a proof!
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 Unprocessed initial clauses:
% 0.74/1.12
% 0.74/1.12 (9) {G0,W3,D3,L1,V1,M1} { q( f( X ) ) }.
% 0.74/1.12 (10) {G0,W6,D3,L2,V2,M2} { p( f( Y ) ), ! q( X ) }.
% 0.74/1.12 (11) {G0,W8,D2,L3,V2,M3} { ! p( X ), r( Y ), ! q( X ) }.
% 0.74/1.12 (12) {G0,W12,D2,L4,V1,M4} { ! p( X ), ! r( skol1 ), ! r( skol2 ), ! q( X )
% 0.74/1.12 }.
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 Total Proof:
% 0.74/1.12
% 0.74/1.12 subsumption: (0) {G0,W3,D3,L1,V1,M1} I { q( f( X ) ) }.
% 0.74/1.12 parent0: (9) {G0,W3,D3,L1,V1,M1} { q( f( X ) ) }.
% 0.74/1.12 substitution0:
% 0.74/1.12 X := X
% 0.74/1.12 end
% 0.74/1.12 permutation0:
% 0.74/1.12 0 ==> 0
% 0.74/1.12 end
% 0.74/1.12
% 0.74/1.12 subsumption: (1) {G0,W6,D3,L2,V2,M1} I { p( f( Y ) ), ! q( X ) }.
% 0.74/1.12 parent0: (10) {G0,W6,D3,L2,V2,M2} { p( f( Y ) ), ! q( X ) }.
% 0.74/1.12 substitution0:
% 0.74/1.12 X := X
% 0.74/1.12 Y := Y
% 0.74/1.12 end
% 0.74/1.12 permutation0:
% 0.74/1.12 0 ==> 0
% 0.74/1.12 1 ==> 1
% 0.74/1.12 end
% 0.74/1.12
% 0.74/1.12 subsumption: (2) {G0,W8,D2,L3,V2,M1} I { ! p( X ), r( Y ), ! q( X ) }.
% 0.74/1.12 parent0: (11) {G0,W8,D2,L3,V2,M3} { ! p( X ), r( Y ), ! q( X ) }.
% 0.74/1.12 substitution0:
% 0.74/1.12 X := X
% 0.74/1.12 Y := Y
% 0.74/1.12 end
% 0.74/1.12 permutation0:
% 0.74/1.12 0 ==> 0
% 0.74/1.12 1 ==> 1
% 0.74/1.12 2 ==> 2
% 0.74/1.12 end
% 0.74/1.12
% 0.74/1.12 subsumption: (3) {G0,W12,D2,L4,V1,M1} I { ! p( X ), ! r( skol1 ), ! r(
% 0.74/1.12 skol2 ), ! q( X ) }.
% 0.74/1.12 parent0: (12) {G0,W12,D2,L4,V1,M4} { ! p( X ), ! r( skol1 ), ! r( skol2 )
% 0.74/1.12 , ! q( X ) }.
% 0.74/1.12 substitution0:
% 0.74/1.12 X := X
% 0.74/1.12 end
% 0.74/1.12 permutation0:
% 0.74/1.12 0 ==> 0
% 0.74/1.12 1 ==> 1
% 0.74/1.12 2 ==> 2
% 0.74/1.12 3 ==> 3
% 0.74/1.12 end
% 0.74/1.12
% 0.74/1.12 resolution: (13) {G1,W3,D3,L1,V1,M1} { p( f( X ) ) }.
% 0.74/1.12 parent0[1]: (1) {G0,W6,D3,L2,V2,M1} I { p( f( Y ) ), ! q( X ) }.
% 0.74/1.12 parent1[0]: (0) {G0,W3,D3,L1,V1,M1} I { q( f( X ) ) }.
% 0.74/1.12 substitution0:
% 0.74/1.12 X := f( Y )
% 0.74/1.12 Y := X
% 0.74/1.12 end
% 0.74/1.12 substitution1:
% 0.74/1.12 X := Y
% 0.74/1.12 end
% 0.74/1.12
% 0.74/1.12 subsumption: (4) {G1,W3,D3,L1,V1,M1} R(1,0) { p( f( X ) ) }.
% 0.74/1.12 parent0: (13) {G1,W3,D3,L1,V1,M1} { p( f( X ) ) }.
% 0.74/1.12 substitution0:
% 0.74/1.12 X := X
% 0.74/1.12 end
% 0.74/1.12 permutation0:
% 0.74/1.12 0 ==> 0
% 0.74/1.12 end
% 0.74/1.12
% 0.74/1.12 resolution: (14) {G1,W6,D3,L2,V2,M2} { ! p( f( X ) ), r( Y ) }.
% 0.74/1.12 parent0[2]: (2) {G0,W8,D2,L3,V2,M1} I { ! p( X ), r( Y ), ! q( X ) }.
% 0.74/1.12 parent1[0]: (0) {G0,W3,D3,L1,V1,M1} I { q( f( X ) ) }.
% 0.74/1.12 substitution0:
% 0.74/1.12 X := f( X )
% 0.74/1.12 Y := Y
% 0.74/1.12 end
% 0.74/1.12 substitution1:
% 0.74/1.12 X := X
% 0.74/1.12 end
% 0.74/1.12
% 0.74/1.12 resolution: (15) {G2,W2,D2,L1,V1,M1} { r( Y ) }.
% 0.74/1.12 parent0[0]: (14) {G1,W6,D3,L2,V2,M2} { ! p( f( X ) ), r( Y ) }.
% 0.74/1.12 parent1[0]: (4) {G1,W3,D3,L1,V1,M1} R(1,0) { p( f( X ) ) }.
% 0.74/1.12 substitution0:
% 0.74/1.12 X := X
% 0.74/1.12 Y := Y
% 0.74/1.12 end
% 0.74/1.12 substitution1:
% 0.74/1.12 X := X
% 0.74/1.12 end
% 0.74/1.12
% 0.74/1.12 subsumption: (5) {G2,W2,D2,L1,V1,M1} R(2,0);r(4) { r( Y ) }.
% 0.74/1.12 parent0: (15) {G2,W2,D2,L1,V1,M1} { r( Y ) }.
% 0.74/1.12 substitution0:
% 0.74/1.12 X := Z
% 0.74/1.12 Y := Y
% 0.74/1.12 end
% 0.74/1.12 permutation0:
% 0.74/1.12 0 ==> 0
% 0.74/1.12 end
% 0.74/1.12
% 0.74/1.12 resolution: (16) {G1,W9,D2,L3,V1,M3} { ! p( X ), ! r( skol2 ), ! q( X )
% 0.74/1.12 }.
% 0.74/1.12 parent0[1]: (3) {G0,W12,D2,L4,V1,M1} I { ! p( X ), ! r( skol1 ), ! r( skol2
% 0.74/1.12 ), ! q( X ) }.
% 0.74/1.12 parent1[0]: (5) {G2,W2,D2,L1,V1,M1} R(2,0);r(4) { r( Y ) }.
% 0.74/1.12 substitution0:
% 0.74/1.12 X := X
% 0.74/1.12 end
% 0.74/1.12 substitution1:
% 0.74/1.12 X := Y
% 0.74/1.12 Y := skol1
% 0.74/1.12 end
% 0.74/1.12
% 0.74/1.12 resolution: (18) {G2,W6,D2,L2,V1,M2} { ! p( X ), ! q( X ) }.
% 0.74/1.12 parent0[1]: (16) {G1,W9,D2,L3,V1,M3} { ! p( X ), ! r( skol2 ), ! q( X )
% 0.74/1.12 }.
% 0.74/1.12 parent1[0]: (5) {G2,W2,D2,L1,V1,M1} R(2,0);r(4) { r( Y ) }.
% 0.74/1.12 substitution0:
% 0.74/1.12 X := X
% 0.74/1.12 end
% 0.74/1.12 substitution1:
% 0.74/1.12 X := Y
% 0.74/1.12 Y := skol2
% 0.74/1.12 end
% 0.74/1.12
% 0.74/1.12 subsumption: (6) {G3,W6,D2,L2,V1,M1} S(3);r(5);r(5) { ! p( X ), ! q( X )
% 0.74/1.12 }.
% 0.74/1.12 parent0: (18) {G2,W6,D2,L2,V1,M2} { ! p( X ), ! q( X ) }.
% 0.74/1.12 substitution0:
% 0.74/1.12 X := X
% 0.74/1.12 end
% 0.74/1.12 permutation0:
% 0.74/1.12 0 ==> 0
% 0.74/1.12 1 ==> 1
% 0.74/1.12 end
% 0.74/1.12
% 0.74/1.12 resolution: (19) {G1,W4,D3,L1,V1,M1} { ! p( f( X ) ) }.
% 0.74/1.12 parent0[1]: (6) {G3,W6,D2,L2,V1,M1} S(3);r(5);r(5) { ! p( X ), ! q( X ) }.
% 0.74/1.12 parent1[0]: (0) {G0,W3,D3,L1,V1,M1} I { q( f( X ) ) }.
% 0.74/1.12 substitution0:
% 0.74/1.12 X := f( X )
% 0.74/1.12 end
% 0.74/1.12 substitution1:
% 0.74/1.12 X := X
% 0.74/1.12 end
% 0.74/1.12
% 0.74/1.12 resolution: (20) {G2,W0,D0,L0,V0,M0} { }.
% 0.74/1.12 parent0[0]: (19) {G1,W4,D3,L1,V1,M1} { ! p( f( X ) ) }.
% 0.74/1.12 parent1[0]: (4) {G1,W3,D3,L1,V1,M1} R(1,0) { p( f( X ) ) }.
% 0.74/1.12 substitution0:
% 0.74/1.12 X := X
% 0.74/1.12 end
% 0.74/1.12 substitution1:
% 0.74/1.12 X := X
% 0.74/1.12 end
% 0.74/1.12
% 0.74/1.12 subsumption: (7) {G4,W0,D0,L0,V0,M0} R(6,0);r(4) { }.
% 0.74/1.12 parent0: (20) {G2,W0,D0,L0,V0,M0} { }.
% 0.74/1.12 substitution0:
% 0.74/1.12 end
% 0.74/1.12 permutation0:
% 0.74/1.12 end
% 0.74/1.12
% 0.74/1.12 Proof check complete!
% 0.74/1.12
% 0.74/1.12 Memory use:
% 0.74/1.12
% 0.74/1.12 space for terms: 126
% 0.74/1.12 space for clauses: 388
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 clauses generated: 8
% 0.74/1.12 clauses kept: 8
% 0.74/1.12 clauses selected: 6
% 0.74/1.12 clauses deleted: 1
% 0.74/1.12 clauses inuse deleted: 0
% 0.74/1.12
% 0.74/1.12 subsentry: 1
% 0.74/1.12 literals s-matched: 0
% 0.74/1.12 literals matched: 0
% 0.74/1.12 full subsumption: 0
% 0.74/1.12
% 0.74/1.12 checksum: -2146633
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 Bliksem ended
%------------------------------------------------------------------------------