TSTP Solution File: SYN315+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN315+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.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 02:49:29 EDT 2022
% Result : Theorem 0.42s 1.05s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN315+1 : TPTP v8.1.0. Released v2.0.0.
% 0.00/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n017.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 14:19:48 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.42/1.05 *** allocated 10000 integers for termspace/termends
% 0.42/1.05 *** allocated 10000 integers for clauses
% 0.42/1.05 *** allocated 10000 integers for justifications
% 0.42/1.05 Bliksem 1.12
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 Automatic Strategy Selection
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 Clauses:
% 0.42/1.05
% 0.42/1.05 { ! big_f( X ), p }.
% 0.42/1.05 { ! p, big_f( X ) }.
% 0.42/1.05 { alpha1( skol1 ), p }.
% 0.42/1.05 { alpha1( skol1 ), ! big_f( skol1 ) }.
% 0.42/1.05 { ! alpha1( X ), big_f( X ) }.
% 0.42/1.05 { ! alpha1( X ), ! p }.
% 0.42/1.05 { ! big_f( X ), p, alpha1( X ) }.
% 0.42/1.05
% 0.42/1.05 percentage equality = 0.000000, percentage horn = 0.833333
% 0.42/1.05 This a non-horn, non-equality problem
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 Options Used:
% 0.42/1.05
% 0.42/1.05 useres = 1
% 0.42/1.05 useparamod = 0
% 0.42/1.05 useeqrefl = 0
% 0.42/1.05 useeqfact = 0
% 0.42/1.05 usefactor = 1
% 0.42/1.05 usesimpsplitting = 0
% 0.42/1.05 usesimpdemod = 0
% 0.42/1.05 usesimpres = 3
% 0.42/1.05
% 0.42/1.05 resimpinuse = 1000
% 0.42/1.05 resimpclauses = 20000
% 0.42/1.05 substype = standard
% 0.42/1.05 backwardsubs = 1
% 0.42/1.05 selectoldest = 5
% 0.42/1.05
% 0.42/1.05 litorderings [0] = split
% 0.42/1.05 litorderings [1] = liftord
% 0.42/1.05
% 0.42/1.05 termordering = none
% 0.42/1.05
% 0.42/1.05 litapriori = 1
% 0.42/1.05 termapriori = 0
% 0.42/1.05 litaposteriori = 0
% 0.42/1.05 termaposteriori = 0
% 0.42/1.05 demodaposteriori = 0
% 0.42/1.05 ordereqreflfact = 0
% 0.42/1.05
% 0.42/1.05 litselect = none
% 0.42/1.05
% 0.42/1.05 maxweight = 15
% 0.42/1.05 maxdepth = 30000
% 0.42/1.05 maxlength = 115
% 0.42/1.05 maxnrvars = 195
% 0.42/1.05 excuselevel = 1
% 0.42/1.05 increasemaxweight = 1
% 0.42/1.05
% 0.42/1.05 maxselected = 10000000
% 0.42/1.05 maxnrclauses = 10000000
% 0.42/1.05
% 0.42/1.05 showgenerated = 0
% 0.42/1.05 showkept = 0
% 0.42/1.05 showselected = 0
% 0.42/1.05 showdeleted = 0
% 0.42/1.05 showresimp = 1
% 0.42/1.05 showstatus = 2000
% 0.42/1.05
% 0.42/1.05 prologoutput = 0
% 0.42/1.05 nrgoals = 5000000
% 0.42/1.05 totalproof = 1
% 0.42/1.05
% 0.42/1.05 Symbols occurring in the translation:
% 0.42/1.05
% 0.42/1.05 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.42/1.05 . [1, 2] (w:1, o:17, a:1, s:1, b:0),
% 0.42/1.05 ! [4, 1] (w:0, o:10, a:1, s:1, b:0),
% 0.42/1.05 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.05 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.05 big_f [37, 1] (w:1, o:16, a:1, s:1, b:0),
% 0.42/1.05 p [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.42/1.05 alpha1 [39, 1] (w:1, o:15, a:1, s:1, b:0),
% 0.42/1.05 skol1 [40, 0] (w:1, o:9, a:1, s:1, b:0).
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 Starting Search:
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 Bliksems!, er is een bewijs:
% 0.42/1.05 % SZS status Theorem
% 0.42/1.05 % SZS output start Refutation
% 0.42/1.05
% 0.42/1.05 (0) {G0,W3,D2,L2,V1,M1} I { p, ! big_f( X ) }.
% 0.42/1.05 (1) {G0,W3,D2,L2,V1,M1} I { big_f( X ), ! p }.
% 0.42/1.05 (2) {G0,W3,D2,L2,V0,M1} I { p, alpha1( skol1 ) }.
% 0.42/1.05 (3) {G0,W4,D2,L2,V0,M1} I { alpha1( skol1 ), ! big_f( skol1 ) }.
% 0.42/1.05 (4) {G0,W4,D2,L2,V1,M1} I { ! alpha1( X ), big_f( X ) }.
% 0.42/1.05 (5) {G0,W3,D2,L2,V1,M1} I { ! alpha1( X ), ! p }.
% 0.42/1.05 (6) {G1,W3,D2,L2,V1,M1} R(4,0) { p, ! alpha1( X ) }.
% 0.42/1.05 (7) {G2,W1,D1,L1,V0,M1} R(6,2);f { p }.
% 0.42/1.05 (8) {G3,W2,D2,L1,V1,M1} R(7,1) { big_f( X ) }.
% 0.42/1.05 (9) {G3,W2,D2,L1,V1,M1} R(7,5) { ! alpha1( X ) }.
% 0.42/1.05 (10) {G4,W0,D0,L0,V0,M0} R(8,3);r(9) { }.
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 % SZS output end Refutation
% 0.42/1.05 found a proof!
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 Unprocessed initial clauses:
% 0.42/1.05
% 0.42/1.05 (12) {G0,W3,D2,L2,V1,M2} { ! big_f( X ), p }.
% 0.42/1.05 (13) {G0,W3,D2,L2,V1,M2} { ! p, big_f( X ) }.
% 0.42/1.05 (14) {G0,W3,D2,L2,V0,M2} { alpha1( skol1 ), p }.
% 0.42/1.05 (15) {G0,W4,D2,L2,V0,M2} { alpha1( skol1 ), ! big_f( skol1 ) }.
% 0.42/1.05 (16) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), big_f( X ) }.
% 0.42/1.05 (17) {G0,W3,D2,L2,V1,M2} { ! alpha1( X ), ! p }.
% 0.42/1.05 (18) {G0,W5,D2,L3,V1,M3} { ! big_f( X ), p, alpha1( X ) }.
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 Total Proof:
% 0.42/1.05
% 0.42/1.05 subsumption: (0) {G0,W3,D2,L2,V1,M1} I { p, ! big_f( X ) }.
% 0.42/1.05 parent0: (12) {G0,W3,D2,L2,V1,M2} { ! big_f( X ), p }.
% 0.42/1.05 substitution0:
% 0.42/1.05 X := X
% 0.42/1.05 end
% 0.42/1.05 permutation0:
% 0.42/1.05 0 ==> 1
% 0.42/1.05 1 ==> 0
% 0.42/1.05 end
% 0.42/1.05
% 0.42/1.05 subsumption: (1) {G0,W3,D2,L2,V1,M1} I { big_f( X ), ! p }.
% 0.42/1.05 parent0: (13) {G0,W3,D2,L2,V1,M2} { ! p, big_f( X ) }.
% 0.42/1.05 substitution0:
% 0.42/1.05 X := X
% 0.42/1.05 end
% 0.42/1.05 permutation0:
% 0.42/1.05 0 ==> 1
% 0.42/1.05 1 ==> 0
% 0.42/1.05 end
% 0.42/1.05
% 0.42/1.05 subsumption: (2) {G0,W3,D2,L2,V0,M1} I { p, alpha1( skol1 ) }.
% 0.42/1.05 parent0: (14) {G0,W3,D2,L2,V0,M2} { alpha1( skol1 ), p }.
% 0.42/1.05 substitution0:
% 0.42/1.05 end
% 0.42/1.05 permutation0:
% 0.42/1.05 0 ==> 1
% 0.42/1.05 1 ==> 0
% 0.42/1.05 end
% 0.42/1.05
% 0.42/1.05 subsumption: (3) {G0,W4,D2,L2,V0,M1} I { alpha1( skol1 ), ! big_f( skol1 )
% 0.42/1.05 }.
% 0.42/1.05 parent0: (15) {G0,W4,D2,L2,V0,M2} { alpha1( skol1 ), ! big_f( skol1 ) }.
% 0.42/1.05 substitution0:
% 0.42/1.05 end
% 0.42/1.05 permutation0:
% 0.42/1.05 0 ==> 0
% 0.42/1.05 1 ==> 1
% 0.42/1.05 end
% 0.42/1.05
% 0.42/1.05 subsumption: (4) {G0,W4,D2,L2,V1,M1} I { ! alpha1( X ), big_f( X ) }.
% 0.42/1.05 parent0: (16) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), big_f( X ) }.
% 0.42/1.05 substitution0:
% 0.42/1.05 X := X
% 0.42/1.05 end
% 0.42/1.05 permutation0:
% 0.42/1.05 0 ==> 0
% 0.42/1.05 1 ==> 1
% 0.42/1.05 end
% 0.42/1.05
% 0.42/1.05 subsumption: (5) {G0,W3,D2,L2,V1,M1} I { ! alpha1( X ), ! p }.
% 0.42/1.05 parent0: (17) {G0,W3,D2,L2,V1,M2} { ! alpha1( X ), ! p }.
% 0.42/1.05 substitution0:
% 0.42/1.05 X := X
% 0.42/1.05 end
% 0.42/1.05 permutation0:
% 0.42/1.05 0 ==> 0
% 0.42/1.05 1 ==> 1
% 0.42/1.05 end
% 0.42/1.05
% 0.42/1.05 resolution: (19) {G1,W3,D2,L2,V1,M2} { p, ! alpha1( X ) }.
% 0.42/1.05 parent0[1]: (0) {G0,W3,D2,L2,V1,M1} I { p, ! big_f( X ) }.
% 0.42/1.05 parent1[1]: (4) {G0,W4,D2,L2,V1,M1} I { ! alpha1( X ), big_f( X ) }.
% 0.42/1.05 substitution0:
% 0.42/1.05 X := X
% 0.42/1.05 end
% 0.42/1.05 substitution1:
% 0.42/1.05 X := X
% 0.42/1.05 end
% 0.42/1.05
% 0.42/1.05 subsumption: (6) {G1,W3,D2,L2,V1,M1} R(4,0) { p, ! alpha1( X ) }.
% 0.42/1.05 parent0: (19) {G1,W3,D2,L2,V1,M2} { p, ! alpha1( X ) }.
% 0.42/1.05 substitution0:
% 0.42/1.05 X := X
% 0.42/1.05 end
% 0.42/1.05 permutation0:
% 0.42/1.05 0 ==> 0
% 0.42/1.05 1 ==> 1
% 0.42/1.05 end
% 0.42/1.05
% 0.42/1.05 resolution: (20) {G1,W2,D1,L2,V0,M2} { p, p }.
% 0.42/1.05 parent0[1]: (6) {G1,W3,D2,L2,V1,M1} R(4,0) { p, ! alpha1( X ) }.
% 0.42/1.05 parent1[1]: (2) {G0,W3,D2,L2,V0,M1} I { p, alpha1( skol1 ) }.
% 0.42/1.05 substitution0:
% 0.42/1.05 X := skol1
% 0.42/1.05 end
% 0.42/1.05 substitution1:
% 0.42/1.05 end
% 0.42/1.05
% 0.42/1.05 factor: (21) {G1,W1,D1,L1,V0,M1} { p }.
% 0.42/1.05 parent0[0, 1]: (20) {G1,W2,D1,L2,V0,M2} { p, p }.
% 0.42/1.05 substitution0:
% 0.42/1.05 end
% 0.42/1.05
% 0.42/1.05 subsumption: (7) {G2,W1,D1,L1,V0,M1} R(6,2);f { p }.
% 0.42/1.05 parent0: (21) {G1,W1,D1,L1,V0,M1} { p }.
% 0.42/1.05 substitution0:
% 0.42/1.05 end
% 0.42/1.05 permutation0:
% 0.42/1.05 0 ==> 0
% 0.42/1.05 end
% 0.42/1.05
% 0.42/1.05 resolution: (22) {G1,W2,D2,L1,V1,M1} { big_f( X ) }.
% 0.42/1.05 parent0[1]: (1) {G0,W3,D2,L2,V1,M1} I { big_f( X ), ! p }.
% 0.42/1.05 parent1[0]: (7) {G2,W1,D1,L1,V0,M1} R(6,2);f { p }.
% 0.42/1.05 substitution0:
% 0.42/1.05 X := X
% 0.42/1.05 end
% 0.42/1.05 substitution1:
% 0.42/1.05 end
% 0.42/1.05
% 0.42/1.05 subsumption: (8) {G3,W2,D2,L1,V1,M1} R(7,1) { big_f( X ) }.
% 0.42/1.05 parent0: (22) {G1,W2,D2,L1,V1,M1} { big_f( X ) }.
% 0.42/1.05 substitution0:
% 0.42/1.05 X := X
% 0.42/1.05 end
% 0.42/1.05 permutation0:
% 0.42/1.05 0 ==> 0
% 0.42/1.05 end
% 0.42/1.05
% 0.42/1.05 resolution: (23) {G1,W2,D2,L1,V1,M1} { ! alpha1( X ) }.
% 0.42/1.05 parent0[1]: (5) {G0,W3,D2,L2,V1,M1} I { ! alpha1( X ), ! p }.
% 0.42/1.05 parent1[0]: (7) {G2,W1,D1,L1,V0,M1} R(6,2);f { p }.
% 0.42/1.05 substitution0:
% 0.42/1.05 X := X
% 0.42/1.05 end
% 0.42/1.05 substitution1:
% 0.42/1.05 end
% 0.42/1.05
% 0.42/1.05 subsumption: (9) {G3,W2,D2,L1,V1,M1} R(7,5) { ! alpha1( X ) }.
% 0.42/1.05 parent0: (23) {G1,W2,D2,L1,V1,M1} { ! alpha1( X ) }.
% 0.42/1.05 substitution0:
% 0.42/1.05 X := X
% 0.42/1.05 end
% 0.42/1.05 permutation0:
% 0.42/1.05 0 ==> 0
% 0.42/1.05 end
% 0.42/1.05
% 0.42/1.05 resolution: (24) {G1,W2,D2,L1,V0,M1} { alpha1( skol1 ) }.
% 0.42/1.05 parent0[1]: (3) {G0,W4,D2,L2,V0,M1} I { alpha1( skol1 ), ! big_f( skol1 )
% 0.42/1.05 }.
% 0.42/1.05 parent1[0]: (8) {G3,W2,D2,L1,V1,M1} R(7,1) { big_f( X ) }.
% 0.42/1.05 substitution0:
% 0.42/1.05 end
% 0.42/1.05 substitution1:
% 0.42/1.05 X := skol1
% 0.42/1.05 end
% 0.42/1.05
% 0.42/1.05 resolution: (25) {G2,W0,D0,L0,V0,M0} { }.
% 0.42/1.05 parent0[0]: (9) {G3,W2,D2,L1,V1,M1} R(7,5) { ! alpha1( X ) }.
% 0.42/1.05 parent1[0]: (24) {G1,W2,D2,L1,V0,M1} { alpha1( skol1 ) }.
% 0.42/1.05 substitution0:
% 0.42/1.05 X := skol1
% 0.42/1.05 end
% 0.42/1.05 substitution1:
% 0.42/1.05 end
% 0.42/1.05
% 0.42/1.05 subsumption: (10) {G4,W0,D0,L0,V0,M0} R(8,3);r(9) { }.
% 0.42/1.05 parent0: (25) {G2,W0,D0,L0,V0,M0} { }.
% 0.42/1.05 substitution0:
% 0.42/1.05 end
% 0.42/1.05 permutation0:
% 0.42/1.05 end
% 0.42/1.05
% 0.42/1.05 Proof check complete!
% 0.42/1.05
% 0.42/1.05 Memory use:
% 0.42/1.05
% 0.42/1.05 space for terms: 105
% 0.42/1.05 space for clauses: 467
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 clauses generated: 13
% 0.42/1.05 clauses kept: 11
% 0.42/1.05 clauses selected: 9
% 0.42/1.05 clauses deleted: 0
% 0.42/1.05 clauses inuse deleted: 0
% 0.42/1.05
% 0.42/1.05 subsentry: 2
% 0.42/1.05 literals s-matched: 2
% 0.42/1.05 literals matched: 2
% 0.42/1.05 full subsumption: 0
% 0.42/1.05
% 0.42/1.05 checksum: -1013
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 Bliksem ended
%------------------------------------------------------------------------------