TSTP Solution File: SYN331+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN331+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n005.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 02:49:42 EDT 2022
% Result : Theorem 0.42s 1.07s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN331+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n005.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 : Mon Jul 11 19:56:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.42/1.07 *** allocated 10000 integers for termspace/termends
% 0.42/1.07 *** allocated 10000 integers for clauses
% 0.42/1.07 *** allocated 10000 integers for justifications
% 0.42/1.07 Bliksem 1.12
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 Automatic Strategy Selection
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 Clauses:
% 0.42/1.07
% 0.42/1.07 { big_f( Y, skol1( Z, Y ) ) }.
% 0.42/1.07 { ! big_f( skol1( Z, Y ), Y ) }.
% 0.42/1.07 { ! big_f( X, Y ), big_f( skol1( X, Y ), skol1( X, Y ) ) }.
% 0.42/1.07 { ! big_f( skol1( X, Y ), skol1( X, Y ) ), big_f( X, Y ) }.
% 0.42/1.07 { big_f( Y, X ), big_f( skol1( X, Y ), skol1( X, Y ) ) }.
% 0.42/1.07 { ! big_f( skol1( X, Y ), X ) }.
% 0.42/1.07 { big_f( X, skol1( X, Y ) ) }.
% 0.42/1.07
% 0.42/1.07 percentage equality = 0.000000, percentage horn = 0.857143
% 0.42/1.07 This a non-horn, non-equality problem
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 Options Used:
% 0.42/1.07
% 0.42/1.07 useres = 1
% 0.42/1.07 useparamod = 0
% 0.42/1.07 useeqrefl = 0
% 0.42/1.07 useeqfact = 0
% 0.42/1.07 usefactor = 1
% 0.42/1.07 usesimpsplitting = 0
% 0.42/1.07 usesimpdemod = 0
% 0.42/1.07 usesimpres = 3
% 0.42/1.07
% 0.42/1.07 resimpinuse = 1000
% 0.42/1.07 resimpclauses = 20000
% 0.42/1.07 substype = standard
% 0.42/1.07 backwardsubs = 1
% 0.42/1.07 selectoldest = 5
% 0.42/1.07
% 0.42/1.07 litorderings [0] = split
% 0.42/1.07 litorderings [1] = liftord
% 0.42/1.07
% 0.42/1.07 termordering = none
% 0.42/1.07
% 0.42/1.07 litapriori = 1
% 0.42/1.07 termapriori = 0
% 0.42/1.07 litaposteriori = 0
% 0.42/1.07 termaposteriori = 0
% 0.42/1.07 demodaposteriori = 0
% 0.42/1.07 ordereqreflfact = 0
% 0.42/1.07
% 0.42/1.07 litselect = none
% 0.42/1.07
% 0.42/1.07 maxweight = 15
% 0.42/1.07 maxdepth = 30000
% 0.42/1.07 maxlength = 115
% 0.42/1.07 maxnrvars = 195
% 0.42/1.07 excuselevel = 1
% 0.42/1.07 increasemaxweight = 1
% 0.42/1.07
% 0.42/1.07 maxselected = 10000000
% 0.42/1.07 maxnrclauses = 10000000
% 0.42/1.07
% 0.42/1.07 showgenerated = 0
% 0.42/1.07 showkept = 0
% 0.42/1.07 showselected = 0
% 0.42/1.07 showdeleted = 0
% 0.42/1.07 showresimp = 1
% 0.42/1.07 showstatus = 2000
% 0.42/1.07
% 0.42/1.07 prologoutput = 0
% 0.42/1.07 nrgoals = 5000000
% 0.42/1.07 totalproof = 1
% 0.42/1.07
% 0.42/1.07 Symbols occurring in the translation:
% 0.42/1.07
% 0.42/1.07 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.42/1.07 . [1, 2] (w:1, o:14, a:1, s:1, b:0),
% 0.42/1.07 ! [4, 1] (w:0, o:9, a:1, s:1, b:0),
% 0.42/1.07 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.07 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.07 big_f [38, 2] (w:1, o:38, a:1, s:1, b:0),
% 0.42/1.07 skol1 [39, 2] (w:1, o:39, a:1, s:1, b:0).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 Starting Search:
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 Bliksems!, er is een bewijs:
% 0.42/1.07 % SZS status Theorem
% 0.42/1.07 % SZS output start Refutation
% 0.42/1.07
% 0.42/1.07 (1) {G0,W5,D3,L1,V2,M1} I { ! big_f( skol1( Z, Y ), Y ) }.
% 0.42/1.07 (2) {G0,W10,D3,L2,V2,M2} I { big_f( skol1( X, Y ), skol1( X, Y ) ), ! big_f
% 0.42/1.07 ( X, Y ) }.
% 0.42/1.07 (3) {G0,W10,D3,L2,V2,M2} I { big_f( X, Y ), ! big_f( skol1( X, Y ), skol1(
% 0.42/1.07 X, Y ) ) }.
% 0.42/1.07 (4) {G0,W10,D3,L2,V2,M2} I { big_f( skol1( X, Y ), skol1( X, Y ) ), big_f(
% 0.42/1.07 Y, X ) }.
% 0.42/1.07 (11) {G1,W14,D3,L2,V2,M2} R(2,4) { big_f( skol1( Y, X ), skol1( Y, X ) ),
% 0.42/1.07 big_f( skol1( X, Y ), skol1( X, Y ) ) }.
% 0.42/1.07 (12) {G2,W7,D3,L1,V1,M1} F(11) { big_f( skol1( X, X ), skol1( X, X ) ) }.
% 0.42/1.07 (13) {G3,W3,D2,L1,V2,M1} R(3,3);r(12) { big_f( X, Y ) }.
% 0.42/1.07 (14) {G4,W0,D0,L0,V0,M0} R(3,1);r(13) { }.
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 % SZS output end Refutation
% 0.42/1.07 found a proof!
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 Unprocessed initial clauses:
% 0.42/1.07
% 0.42/1.07 (16) {G0,W5,D3,L1,V2,M1} { big_f( Y, skol1( Z, Y ) ) }.
% 0.42/1.07 (17) {G0,W5,D3,L1,V2,M1} { ! big_f( skol1( Z, Y ), Y ) }.
% 0.42/1.07 (18) {G0,W10,D3,L2,V2,M2} { ! big_f( X, Y ), big_f( skol1( X, Y ), skol1(
% 0.42/1.07 X, Y ) ) }.
% 0.42/1.07 (19) {G0,W10,D3,L2,V2,M2} { ! big_f( skol1( X, Y ), skol1( X, Y ) ), big_f
% 0.42/1.07 ( X, Y ) }.
% 0.42/1.07 (20) {G0,W10,D3,L2,V2,M2} { big_f( Y, X ), big_f( skol1( X, Y ), skol1( X
% 0.42/1.07 , Y ) ) }.
% 0.42/1.07 (21) {G0,W5,D3,L1,V2,M1} { ! big_f( skol1( X, Y ), X ) }.
% 0.42/1.07 (22) {G0,W5,D3,L1,V2,M1} { big_f( X, skol1( X, Y ) ) }.
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 Total Proof:
% 0.42/1.07
% 0.42/1.07 subsumption: (1) {G0,W5,D3,L1,V2,M1} I { ! big_f( skol1( Z, Y ), Y ) }.
% 0.42/1.07 parent0: (17) {G0,W5,D3,L1,V2,M1} { ! big_f( skol1( Z, Y ), Y ) }.
% 0.42/1.07 substitution0:
% 0.42/1.07 X := T
% 0.42/1.07 Y := Y
% 0.42/1.07 Z := Z
% 0.42/1.07 end
% 0.42/1.07 permutation0:
% 0.42/1.07 0 ==> 0
% 0.42/1.07 end
% 0.42/1.07
% 0.42/1.07 subsumption: (2) {G0,W10,D3,L2,V2,M2} I { big_f( skol1( X, Y ), skol1( X, Y
% 0.42/1.07 ) ), ! big_f( X, Y ) }.
% 0.42/1.07 parent0: (18) {G0,W10,D3,L2,V2,M2} { ! big_f( X, Y ), big_f( skol1( X, Y )
% 0.42/1.07 , skol1( X, Y ) ) }.
% 0.42/1.07 substitution0:
% 0.42/1.07 X := X
% 0.42/1.07 Y := Y
% 0.42/1.07 end
% 0.42/1.07 permutation0:
% 0.42/1.07 0 ==> 1
% 0.42/1.07 1 ==> 0
% 0.42/1.07 end
% 0.42/1.07
% 0.42/1.07 subsumption: (3) {G0,W10,D3,L2,V2,M2} I { big_f( X, Y ), ! big_f( skol1( X
% 0.42/1.07 , Y ), skol1( X, Y ) ) }.
% 0.42/1.07 parent0: (19) {G0,W10,D3,L2,V2,M2} { ! big_f( skol1( X, Y ), skol1( X, Y )
% 0.42/1.07 ), big_f( X, Y ) }.
% 0.42/1.07 substitution0:
% 0.42/1.07 X := X
% 0.42/1.07 Y := Y
% 0.42/1.07 end
% 0.42/1.07 permutation0:
% 0.42/1.07 0 ==> 1
% 0.42/1.07 1 ==> 0
% 0.42/1.07 end
% 0.42/1.07
% 0.42/1.07 subsumption: (4) {G0,W10,D3,L2,V2,M2} I { big_f( skol1( X, Y ), skol1( X, Y
% 0.42/1.07 ) ), big_f( Y, X ) }.
% 0.42/1.07 parent0: (20) {G0,W10,D3,L2,V2,M2} { big_f( Y, X ), big_f( skol1( X, Y ),
% 0.42/1.07 skol1( X, Y ) ) }.
% 0.42/1.07 substitution0:
% 0.42/1.07 X := X
% 0.42/1.07 Y := Y
% 0.42/1.07 end
% 0.42/1.07 permutation0:
% 0.42/1.07 0 ==> 1
% 0.42/1.07 1 ==> 0
% 0.42/1.07 end
% 0.42/1.07
% 0.42/1.07 resolution: (24) {G1,W14,D3,L2,V2,M2} { big_f( skol1( X, Y ), skol1( X, Y
% 0.42/1.07 ) ), big_f( skol1( Y, X ), skol1( Y, X ) ) }.
% 0.42/1.07 parent0[1]: (2) {G0,W10,D3,L2,V2,M2} I { big_f( skol1( X, Y ), skol1( X, Y
% 0.42/1.07 ) ), ! big_f( X, Y ) }.
% 0.42/1.07 parent1[1]: (4) {G0,W10,D3,L2,V2,M2} I { big_f( skol1( X, Y ), skol1( X, Y
% 0.42/1.07 ) ), big_f( Y, X ) }.
% 0.42/1.07 substitution0:
% 0.42/1.07 X := X
% 0.42/1.07 Y := Y
% 0.42/1.07 end
% 0.42/1.07 substitution1:
% 0.42/1.07 X := Y
% 0.42/1.07 Y := X
% 0.42/1.07 end
% 0.42/1.07
% 0.42/1.07 subsumption: (11) {G1,W14,D3,L2,V2,M2} R(2,4) { big_f( skol1( Y, X ), skol1
% 0.42/1.07 ( Y, X ) ), big_f( skol1( X, Y ), skol1( X, Y ) ) }.
% 0.42/1.07 parent0: (24) {G1,W14,D3,L2,V2,M2} { big_f( skol1( X, Y ), skol1( X, Y ) )
% 0.42/1.07 , big_f( skol1( Y, X ), skol1( Y, X ) ) }.
% 0.42/1.07 substitution0:
% 0.42/1.07 X := Y
% 0.42/1.07 Y := X
% 0.42/1.07 end
% 0.42/1.07 permutation0:
% 0.42/1.07 0 ==> 0
% 0.42/1.07 1 ==> 1
% 0.42/1.07 end
% 0.42/1.07
% 0.42/1.07 factor: (26) {G1,W7,D3,L1,V1,M1} { big_f( skol1( X, X ), skol1( X, X ) )
% 0.42/1.07 }.
% 0.42/1.07 parent0[0, 1]: (11) {G1,W14,D3,L2,V2,M2} R(2,4) { big_f( skol1( Y, X ),
% 0.42/1.07 skol1( Y, X ) ), big_f( skol1( X, Y ), skol1( X, Y ) ) }.
% 0.42/1.07 substitution0:
% 0.42/1.07 X := X
% 0.42/1.07 Y := X
% 0.42/1.07 end
% 0.42/1.07
% 0.42/1.07 subsumption: (12) {G2,W7,D3,L1,V1,M1} F(11) { big_f( skol1( X, X ), skol1(
% 0.42/1.07 X, X ) ) }.
% 0.42/1.07 parent0: (26) {G1,W7,D3,L1,V1,M1} { big_f( skol1( X, X ), skol1( X, X ) )
% 0.42/1.07 }.
% 0.42/1.07 substitution0:
% 0.42/1.07 X := X
% 0.42/1.07 end
% 0.42/1.07 permutation0:
% 0.42/1.07 0 ==> 0
% 0.42/1.07 end
% 0.42/1.07
% 0.42/1.07 resolution: (27) {G1,W18,D4,L2,V2,M2} { big_f( X, Y ), ! big_f( skol1(
% 0.42/1.07 skol1( X, Y ), skol1( X, Y ) ), skol1( skol1( X, Y ), skol1( X, Y ) ) )
% 0.42/1.07 }.
% 0.42/1.07 parent0[1]: (3) {G0,W10,D3,L2,V2,M2} I { big_f( X, Y ), ! big_f( skol1( X,
% 0.42/1.07 Y ), skol1( X, Y ) ) }.
% 0.42/1.07 parent1[0]: (3) {G0,W10,D3,L2,V2,M2} I { big_f( X, Y ), ! big_f( skol1( X,
% 0.42/1.07 Y ), skol1( X, Y ) ) }.
% 0.42/1.07 substitution0:
% 0.42/1.07 X := X
% 0.42/1.07 Y := Y
% 0.42/1.07 end
% 0.42/1.07 substitution1:
% 0.42/1.07 X := skol1( X, Y )
% 0.42/1.07 Y := skol1( X, Y )
% 0.42/1.07 end
% 0.42/1.07
% 0.42/1.07 resolution: (28) {G2,W3,D2,L1,V2,M1} { big_f( X, Y ) }.
% 0.42/1.07 parent0[1]: (27) {G1,W18,D4,L2,V2,M2} { big_f( X, Y ), ! big_f( skol1(
% 0.42/1.07 skol1( X, Y ), skol1( X, Y ) ), skol1( skol1( X, Y ), skol1( X, Y ) ) )
% 0.42/1.07 }.
% 0.42/1.07 parent1[0]: (12) {G2,W7,D3,L1,V1,M1} F(11) { big_f( skol1( X, X ), skol1( X
% 0.42/1.07 , X ) ) }.
% 0.42/1.07 substitution0:
% 0.42/1.07 X := X
% 0.42/1.07 Y := Y
% 0.42/1.07 end
% 0.42/1.07 substitution1:
% 0.42/1.07 X := skol1( X, Y )
% 0.42/1.07 end
% 0.42/1.07
% 0.42/1.07 subsumption: (13) {G3,W3,D2,L1,V2,M1} R(3,3);r(12) { big_f( X, Y ) }.
% 0.42/1.07 parent0: (28) {G2,W3,D2,L1,V2,M1} { big_f( X, Y ) }.
% 0.42/1.07 substitution0:
% 0.42/1.07 X := X
% 0.42/1.07 Y := Y
% 0.42/1.07 end
% 0.42/1.07 permutation0:
% 0.42/1.07 0 ==> 0
% 0.42/1.07 end
% 0.42/1.07
% 0.42/1.07 resolution: (29) {G1,W11,D4,L1,V2,M1} { ! big_f( skol1( skol1( X, Y ), Y )
% 0.42/1.07 , skol1( skol1( X, Y ), Y ) ) }.
% 0.42/1.07 parent0[0]: (1) {G0,W5,D3,L1,V2,M1} I { ! big_f( skol1( Z, Y ), Y ) }.
% 0.42/1.07 parent1[0]: (3) {G0,W10,D3,L2,V2,M2} I { big_f( X, Y ), ! big_f( skol1( X,
% 0.42/1.07 Y ), skol1( X, Y ) ) }.
% 0.42/1.07 substitution0:
% 0.42/1.07 X := Z
% 0.42/1.07 Y := Y
% 0.42/1.07 Z := X
% 0.42/1.07 end
% 0.42/1.07 substitution1:
% 0.42/1.07 X := skol1( X, Y )
% 0.42/1.07 Y := Y
% 0.42/1.07 end
% 0.42/1.07
% 0.42/1.07 resolution: (30) {G2,W0,D0,L0,V0,M0} { }.
% 0.42/1.07 parent0[0]: (29) {G1,W11,D4,L1,V2,M1} { ! big_f( skol1( skol1( X, Y ), Y )
% 0.42/1.07 , skol1( skol1( X, Y ), Y ) ) }.
% 0.42/1.07 parent1[0]: (13) {G3,W3,D2,L1,V2,M1} R(3,3);r(12) { big_f( X, Y ) }.
% 0.42/1.07 substitution0:
% 0.42/1.07 X := X
% 0.42/1.07 Y := Y
% 0.42/1.07 end
% 0.42/1.07 substitution1:
% 0.42/1.07 X := skol1( skol1( X, Y ), Y )
% 0.42/1.07 Y := skol1( skol1( X, Y ), Y )
% 0.42/1.07 end
% 0.42/1.07
% 0.42/1.07 subsumption: (14) {G4,W0,D0,L0,V0,M0} R(3,1);r(13) { }.
% 0.42/1.07 parent0: (30) {G2,W0,D0,L0,V0,M0} { }.
% 0.42/1.07 substitution0:
% 0.42/1.07 end
% 0.42/1.07 permutation0:
% 0.42/1.07 end
% 0.42/1.07
% 0.42/1.07 Proof check complete!
% 0.42/1.07
% 0.42/1.07 Memory use:
% 0.42/1.07
% 0.42/1.07 space for terms: 247
% 0.42/1.07 space for clauses: 1027
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 clauses generated: 25
% 0.42/1.07 clauses kept: 15
% 0.42/1.07 clauses selected: 8
% 0.42/1.07 clauses deleted: 0
% 0.42/1.07 clauses inuse deleted: 0
% 0.42/1.07
% 0.42/1.07 subsentry: 29
% 0.42/1.07 literals s-matched: 16
% 0.42/1.07 literals matched: 16
% 0.42/1.07 full subsumption: 3
% 0.42/1.07
% 0.42/1.07 checksum: 6
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 Bliksem ended
%------------------------------------------------------------------------------