TSTP Solution File: SYN325+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN325+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 02:49:37 EDT 2022
% Result : Theorem 0.43s 1.06s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYN325+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n018.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 : Mon Jul 11 18:17:14 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.43/1.06 *** allocated 10000 integers for termspace/termends
% 0.43/1.06 *** allocated 10000 integers for clauses
% 0.43/1.06 *** allocated 10000 integers for justifications
% 0.43/1.06 Bliksem 1.12
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 Automatic Strategy Selection
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 Clauses:
% 0.43/1.06
% 0.43/1.06 { ! big_g( skol1( Y ) ) }.
% 0.43/1.06 { alpha1( X, skol1( X ) ), big_f( X, skol1( X ) ) }.
% 0.43/1.06 { alpha1( X, skol1( X ) ), big_g( X ) }.
% 0.43/1.06 { ! alpha1( X, Y ), big_f( X, X ) }.
% 0.43/1.06 { ! alpha1( X, Y ), ! big_f( Y, Y ) }.
% 0.43/1.06 { ! big_f( X, X ), big_f( Y, Y ), alpha1( X, Y ) }.
% 0.43/1.06
% 0.43/1.06 percentage equality = 0.000000, percentage horn = 0.500000
% 0.43/1.06 This a non-horn, non-equality problem
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 Options Used:
% 0.43/1.06
% 0.43/1.06 useres = 1
% 0.43/1.06 useparamod = 0
% 0.43/1.06 useeqrefl = 0
% 0.43/1.06 useeqfact = 0
% 0.43/1.06 usefactor = 1
% 0.43/1.06 usesimpsplitting = 0
% 0.43/1.06 usesimpdemod = 0
% 0.43/1.06 usesimpres = 3
% 0.43/1.06
% 0.43/1.06 resimpinuse = 1000
% 0.43/1.06 resimpclauses = 20000
% 0.43/1.06 substype = standard
% 0.43/1.06 backwardsubs = 1
% 0.43/1.06 selectoldest = 5
% 0.43/1.06
% 0.43/1.06 litorderings [0] = split
% 0.43/1.06 litorderings [1] = liftord
% 0.43/1.06
% 0.43/1.06 termordering = none
% 0.43/1.06
% 0.43/1.06 litapriori = 1
% 0.43/1.06 termapriori = 0
% 0.43/1.06 litaposteriori = 0
% 0.43/1.06 termaposteriori = 0
% 0.43/1.06 demodaposteriori = 0
% 0.43/1.06 ordereqreflfact = 0
% 0.43/1.06
% 0.43/1.06 litselect = none
% 0.43/1.06
% 0.43/1.06 maxweight = 15
% 0.43/1.06 maxdepth = 30000
% 0.43/1.06 maxlength = 115
% 0.43/1.06 maxnrvars = 195
% 0.43/1.06 excuselevel = 1
% 0.43/1.06 increasemaxweight = 1
% 0.43/1.06
% 0.43/1.06 maxselected = 10000000
% 0.43/1.06 maxnrclauses = 10000000
% 0.43/1.06
% 0.43/1.06 showgenerated = 0
% 0.43/1.06 showkept = 0
% 0.43/1.06 showselected = 0
% 0.43/1.06 showdeleted = 0
% 0.43/1.06 showresimp = 1
% 0.43/1.06 showstatus = 2000
% 0.43/1.06
% 0.43/1.06 prologoutput = 0
% 0.43/1.06 nrgoals = 5000000
% 0.43/1.06 totalproof = 1
% 0.43/1.06
% 0.43/1.06 Symbols occurring in the translation:
% 0.43/1.06
% 0.43/1.06 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.43/1.06 . [1, 2] (w:1, o:15, a:1, s:1, b:0),
% 0.43/1.06 ! [4, 1] (w:0, o:8, a:1, s:1, b:0),
% 0.43/1.06 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.06 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.06 big_f [37, 2] (w:1, o:40, a:1, s:1, b:0),
% 0.43/1.06 big_g [38, 1] (w:1, o:13, a:1, s:1, b:0),
% 0.43/1.06 alpha1 [39, 2] (w:1, o:39, a:1, s:1, b:0),
% 0.43/1.06 skol1 [40, 1] (w:1, o:14, a:1, s:1, b:0).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 Starting Search:
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 Bliksems!, er is een bewijs:
% 0.43/1.06 % SZS status Theorem
% 0.43/1.06 % SZS output start Refutation
% 0.43/1.06
% 0.43/1.06 (0) {G0,W3,D3,L1,V1,M1} I { ! big_g( skol1( Y ) ) }.
% 0.43/1.06 (2) {G0,W6,D3,L2,V1,M1} I { big_g( X ), alpha1( X, skol1( X ) ) }.
% 0.43/1.06 (3) {G0,W6,D2,L2,V2,M1} I { ! alpha1( X, Y ), big_f( X, X ) }.
% 0.43/1.06 (4) {G0,W6,D2,L2,V2,M1} I { ! alpha1( X, Y ), ! big_f( Y, Y ) }.
% 0.43/1.06 (6) {G1,W6,D2,L2,V3,M2} R(3,4) { ! alpha1( Z, X ), ! alpha1( X, Y ) }.
% 0.43/1.06 (9) {G2,W5,D2,L2,V2,M1} R(2,6) { big_g( X ), ! alpha1( Y, X ) }.
% 0.43/1.06 (10) {G3,W2,D2,L1,V1,M1} R(9,2);r(0) { big_g( X ) }.
% 0.43/1.06 (11) {G4,W0,D0,L0,V0,M0} R(10,0) { }.
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 % SZS output end Refutation
% 0.43/1.06 found a proof!
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 Unprocessed initial clauses:
% 0.43/1.06
% 0.43/1.06 (13) {G0,W3,D3,L1,V1,M1} { ! big_g( skol1( Y ) ) }.
% 0.43/1.06 (14) {G0,W8,D3,L2,V1,M2} { alpha1( X, skol1( X ) ), big_f( X, skol1( X ) )
% 0.43/1.06 }.
% 0.43/1.06 (15) {G0,W6,D3,L2,V1,M2} { alpha1( X, skol1( X ) ), big_g( X ) }.
% 0.43/1.06 (16) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), big_f( X, X ) }.
% 0.43/1.06 (17) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), ! big_f( Y, Y ) }.
% 0.43/1.06 (18) {G0,W9,D2,L3,V2,M3} { ! big_f( X, X ), big_f( Y, Y ), alpha1( X, Y )
% 0.43/1.06 }.
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 Total Proof:
% 0.43/1.06
% 0.43/1.06 subsumption: (0) {G0,W3,D3,L1,V1,M1} I { ! big_g( skol1( Y ) ) }.
% 0.43/1.06 parent0: (13) {G0,W3,D3,L1,V1,M1} { ! big_g( skol1( Y ) ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := Z
% 0.43/1.06 Y := Y
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (2) {G0,W6,D3,L2,V1,M1} I { big_g( X ), alpha1( X, skol1( X )
% 0.43/1.06 ) }.
% 0.43/1.06 parent0: (15) {G0,W6,D3,L2,V1,M2} { alpha1( X, skol1( X ) ), big_g( X )
% 0.43/1.06 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 1
% 0.43/1.06 1 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (3) {G0,W6,D2,L2,V2,M1} I { ! alpha1( X, Y ), big_f( X, X )
% 0.43/1.06 }.
% 0.43/1.06 parent0: (16) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), big_f( X, X ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 Y := Y
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 1 ==> 1
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (4) {G0,W6,D2,L2,V2,M1} I { ! alpha1( X, Y ), ! big_f( Y, Y )
% 0.43/1.06 }.
% 0.43/1.06 parent0: (17) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), ! big_f( Y, Y ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 Y := Y
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 1 ==> 1
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (19) {G1,W6,D2,L2,V3,M2} { ! alpha1( X, Y ), ! alpha1( Y, Z )
% 0.43/1.06 }.
% 0.43/1.06 parent0[1]: (4) {G0,W6,D2,L2,V2,M1} I { ! alpha1( X, Y ), ! big_f( Y, Y )
% 0.43/1.06 }.
% 0.43/1.06 parent1[1]: (3) {G0,W6,D2,L2,V2,M1} I { ! alpha1( X, Y ), big_f( X, X ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 Y := Y
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 X := Y
% 0.43/1.06 Y := Z
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (6) {G1,W6,D2,L2,V3,M2} R(3,4) { ! alpha1( Z, X ), ! alpha1( X
% 0.43/1.06 , Y ) }.
% 0.43/1.06 parent0: (19) {G1,W6,D2,L2,V3,M2} { ! alpha1( X, Y ), ! alpha1( Y, Z ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := Z
% 0.43/1.06 Y := X
% 0.43/1.06 Z := Y
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 1 ==> 1
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (22) {G1,W5,D2,L2,V2,M2} { ! alpha1( X, Y ), big_g( Y ) }.
% 0.43/1.06 parent0[1]: (6) {G1,W6,D2,L2,V3,M2} R(3,4) { ! alpha1( Z, X ), ! alpha1( X
% 0.43/1.06 , Y ) }.
% 0.43/1.06 parent1[1]: (2) {G0,W6,D3,L2,V1,M1} I { big_g( X ), alpha1( X, skol1( X ) )
% 0.43/1.06 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := Y
% 0.43/1.06 Y := skol1( Y )
% 0.43/1.06 Z := X
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 X := Y
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (9) {G2,W5,D2,L2,V2,M1} R(2,6) { big_g( X ), ! alpha1( Y, X )
% 0.43/1.06 }.
% 0.43/1.06 parent0: (22) {G1,W5,D2,L2,V2,M2} { ! alpha1( X, Y ), big_g( Y ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := Y
% 0.43/1.06 Y := X
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 1
% 0.43/1.06 1 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (23) {G1,W5,D3,L2,V1,M2} { big_g( skol1( X ) ), big_g( X ) }.
% 0.43/1.06 parent0[1]: (9) {G2,W5,D2,L2,V2,M1} R(2,6) { big_g( X ), ! alpha1( Y, X )
% 0.43/1.06 }.
% 0.43/1.06 parent1[1]: (2) {G0,W6,D3,L2,V1,M1} I { big_g( X ), alpha1( X, skol1( X ) )
% 0.43/1.06 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := skol1( X )
% 0.43/1.06 Y := X
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 X := X
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (24) {G1,W2,D2,L1,V1,M1} { big_g( X ) }.
% 0.43/1.06 parent0[0]: (0) {G0,W3,D3,L1,V1,M1} I { ! big_g( skol1( Y ) ) }.
% 0.43/1.06 parent1[0]: (23) {G1,W5,D3,L2,V1,M2} { big_g( skol1( X ) ), big_g( X ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := Y
% 0.43/1.06 Y := X
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 X := X
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (10) {G3,W2,D2,L1,V1,M1} R(9,2);r(0) { big_g( X ) }.
% 0.43/1.06 parent0: (24) {G1,W2,D2,L1,V1,M1} { big_g( X ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (25) {G1,W0,D0,L0,V0,M0} { }.
% 0.43/1.06 parent0[0]: (0) {G0,W3,D3,L1,V1,M1} I { ! big_g( skol1( Y ) ) }.
% 0.43/1.06 parent1[0]: (10) {G3,W2,D2,L1,V1,M1} R(9,2);r(0) { big_g( X ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := Y
% 0.43/1.06 Y := X
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 X := skol1( X )
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (11) {G4,W0,D0,L0,V0,M0} R(10,0) { }.
% 0.43/1.06 parent0: (25) {G1,W0,D0,L0,V0,M0} { }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 Proof check complete!
% 0.43/1.06
% 0.43/1.06 Memory use:
% 0.43/1.06
% 0.43/1.06 space for terms: 154
% 0.43/1.06 space for clauses: 584
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 clauses generated: 12
% 0.43/1.06 clauses kept: 12
% 0.43/1.06 clauses selected: 9
% 0.43/1.06 clauses deleted: 0
% 0.43/1.06 clauses inuse deleted: 0
% 0.43/1.06
% 0.43/1.06 subsentry: 6
% 0.43/1.06 literals s-matched: 1
% 0.43/1.06 literals matched: 1
% 0.43/1.06 full subsumption: 0
% 0.43/1.06
% 0.43/1.06 checksum: 134219617
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 Bliksem ended
%------------------------------------------------------------------------------