TSTP Solution File: SYN040+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN040+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n025.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 02:46:56 EDT 2022
% Result : Theorem 0.69s 1.09s
% Output : Refutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYN040+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n025.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 16:10:32 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.69/1.09 *** allocated 10000 integers for termspace/termends
% 0.69/1.09 *** allocated 10000 integers for clauses
% 0.69/1.09 *** allocated 10000 integers for justifications
% 0.69/1.09 Bliksem 1.12
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Automatic Strategy Selection
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Clauses:
% 0.69/1.09
% 0.69/1.09 { alpha2, q, ! p }.
% 0.69/1.09 { alpha2, ! alpha1 }.
% 0.69/1.09 { ! alpha2, alpha1 }.
% 0.69/1.09 { ! alpha2, ! q }.
% 0.69/1.09 { ! alpha2, p }.
% 0.69/1.09 { ! alpha1, q, ! p, alpha2 }.
% 0.69/1.09 { ! alpha1, ! p, q }.
% 0.69/1.09 { p, alpha1 }.
% 0.69/1.09 { ! q, alpha1 }.
% 0.69/1.09
% 0.69/1.09 percentage equality = 0.000000, percentage horn = 0.750000
% 0.69/1.09 This a non-horn, non-equality problem
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Options Used:
% 0.69/1.09
% 0.69/1.09 useres = 1
% 0.69/1.09 useparamod = 0
% 0.69/1.09 useeqrefl = 0
% 0.69/1.09 useeqfact = 0
% 0.69/1.09 usefactor = 1
% 0.69/1.09 usesimpsplitting = 0
% 0.69/1.09 usesimpdemod = 0
% 0.69/1.09 usesimpres = 3
% 0.69/1.09
% 0.69/1.09 resimpinuse = 1000
% 0.69/1.09 resimpclauses = 20000
% 0.69/1.09 substype = standard
% 0.69/1.09 backwardsubs = 1
% 0.69/1.09 selectoldest = 5
% 0.69/1.09
% 0.69/1.09 litorderings [0] = split
% 0.69/1.09 litorderings [1] = liftord
% 0.69/1.09
% 0.69/1.09 termordering = none
% 0.69/1.09
% 0.69/1.09 litapriori = 1
% 0.69/1.09 termapriori = 0
% 0.69/1.09 litaposteriori = 0
% 0.69/1.09 termaposteriori = 0
% 0.69/1.09 demodaposteriori = 0
% 0.69/1.09 ordereqreflfact = 0
% 0.69/1.09
% 0.69/1.09 litselect = none
% 0.69/1.09
% 0.69/1.09 maxweight = 15
% 0.69/1.09 maxdepth = 30000
% 0.69/1.09 maxlength = 115
% 0.69/1.09 maxnrvars = 195
% 0.69/1.09 excuselevel = 1
% 0.69/1.09 increasemaxweight = 1
% 0.69/1.09
% 0.69/1.09 maxselected = 10000000
% 0.69/1.09 maxnrclauses = 10000000
% 0.69/1.09
% 0.69/1.09 showgenerated = 0
% 0.69/1.09 showkept = 0
% 0.69/1.09 showselected = 0
% 0.69/1.09 showdeleted = 0
% 0.69/1.09 showresimp = 1
% 0.69/1.09 showstatus = 2000
% 0.69/1.09
% 0.69/1.09 prologoutput = 0
% 0.69/1.09 nrgoals = 5000000
% 0.69/1.09 totalproof = 1
% 0.69/1.09
% 0.69/1.09 Symbols occurring in the translation:
% 0.69/1.09
% 0.69/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.69/1.09 . [1, 2] (w:1, o:15, a:1, s:1, b:0),
% 0.69/1.09 ! [4, 1] (w:0, o:10, a:1, s:1, b:0),
% 0.69/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.09 p [35, 0] (w:1, o:6, a:1, s:1, b:0),
% 0.69/1.09 q [36, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.69/1.09 alpha1 [37, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.69/1.09 alpha2 [38, 0] (w:1, o:9, a:1, s:1, b:0).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Starting Search:
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Bliksems!, er is een bewijs:
% 0.69/1.09 % SZS status Theorem
% 0.69/1.09 % SZS output start Refutation
% 0.69/1.09
% 0.69/1.09 (0) {G0,W3,D1,L3,V0,M1} I { q, alpha2, ! p }.
% 0.69/1.09 (1) {G0,W2,D1,L2,V0,M1} I { alpha2, ! alpha1 }.
% 0.69/1.09 (2) {G0,W2,D1,L2,V0,M1} I { alpha1, ! alpha2 }.
% 0.69/1.09 (3) {G0,W2,D1,L2,V0,M1} I { ! q, ! alpha2 }.
% 0.69/1.09 (4) {G0,W2,D1,L2,V0,M1} I { p, ! alpha2 }.
% 0.69/1.09 (5) {G0,W3,D1,L3,V0,M1} I { ! p, q, ! alpha1 }.
% 0.69/1.09 (6) {G0,W2,D1,L2,V0,M1} I { p, alpha1 }.
% 0.69/1.09 (7) {G0,W2,D1,L2,V0,M1} I { alpha1, ! q }.
% 0.69/1.09 (8) {G1,W1,D1,L1,V0,M1} R(1,6);r(4) { p }.
% 0.69/1.09 (9) {G2,W2,D1,L2,V0,M1} R(8,0) { q, alpha2 }.
% 0.69/1.09 (10) {G3,W1,D1,L1,V0,M1} R(9,2);r(7) { alpha1 }.
% 0.69/1.09 (11) {G4,W1,D1,L1,V0,M1} R(10,1) { alpha2 }.
% 0.69/1.09 (12) {G4,W1,D1,L1,V0,M1} S(5);r(8);r(10) { q }.
% 0.69/1.09 (13) {G5,W0,D0,L0,V0,M0} R(11,3);r(12) { }.
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 % SZS output end Refutation
% 0.69/1.09 found a proof!
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Unprocessed initial clauses:
% 0.69/1.09
% 0.69/1.09 (15) {G0,W3,D1,L3,V0,M3} { alpha2, q, ! p }.
% 0.69/1.09 (16) {G0,W2,D1,L2,V0,M2} { alpha2, ! alpha1 }.
% 0.69/1.09 (17) {G0,W2,D1,L2,V0,M2} { ! alpha2, alpha1 }.
% 0.69/1.09 (18) {G0,W2,D1,L2,V0,M2} { ! alpha2, ! q }.
% 0.69/1.09 (19) {G0,W2,D1,L2,V0,M2} { ! alpha2, p }.
% 0.69/1.09 (20) {G0,W4,D1,L4,V0,M4} { ! alpha1, q, ! p, alpha2 }.
% 0.69/1.09 (21) {G0,W3,D1,L3,V0,M3} { ! alpha1, ! p, q }.
% 0.69/1.09 (22) {G0,W2,D1,L2,V0,M2} { p, alpha1 }.
% 0.69/1.09 (23) {G0,W2,D1,L2,V0,M2} { ! q, alpha1 }.
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Total Proof:
% 0.69/1.09
% 0.69/1.09 subsumption: (0) {G0,W3,D1,L3,V0,M1} I { q, alpha2, ! p }.
% 0.69/1.09 parent0: (15) {G0,W3,D1,L3,V0,M3} { alpha2, q, ! p }.
% 0.69/1.09 substitution0:
% 0.69/1.09 end
% 0.69/1.09 permutation0:
% 0.69/1.09 0 ==> 1
% 0.69/1.09 1 ==> 0
% 0.69/1.09 2 ==> 2
% 0.69/1.09 end
% 0.69/1.09
% 0.69/1.09 subsumption: (1) {G0,W2,D1,L2,V0,M1} I { alpha2, ! alpha1 }.
% 0.69/1.09 parent0: (16) {G0,W2,D1,L2,V0,M2} { alpha2, ! alpha1 }.
% 0.69/1.09 substitution0:
% 0.69/1.09 end
% 0.69/1.09 permutation0:
% 0.69/1.09 0 ==> 0
% 0.69/1.09 1 ==> 1
% 0.69/1.09 end
% 0.69/1.09
% 0.69/1.09 subsumption: (2) {G0,W2,D1,L2,V0,M1} I { alpha1, ! alpha2 }.
% 0.69/1.09 parent0: (17) {G0,W2,D1,L2,V0,M2} { ! alpha2, alpha1 }.
% 0.69/1.09 substitution0:
% 0.69/1.09 end
% 0.69/1.09 permutation0:
% 0.69/1.09 0 ==> 1
% 0.69/1.09 1 ==> 0
% 0.69/1.09 end
% 0.69/1.09
% 0.69/1.09 subsumption: (3) {G0,W2,D1,L2,V0,M1} I { ! q, ! alpha2 }.
% 0.69/1.09 parent0: (18) {G0,W2,D1,L2,V0,M2} { ! alpha2, ! q }.
% 0.69/1.09 substitution0:
% 0.69/1.09 end
% 0.69/1.09 permutation0:
% 0.69/1.09 0 ==> 1
% 0.69/1.09 1 ==> 0
% 0.69/1.09 end
% 0.69/1.09
% 0.69/1.09 subsumption: (4) {G0,W2,D1,L2,V0,M1} I { p, ! alpha2 }.
% 0.69/1.09 parent0: (19) {G0,W2,D1,L2,V0,M2} { ! alpha2, p }.
% 0.69/1.09 substitution0:
% 0.69/1.09 end
% 0.69/1.09 permutation0:
% 0.69/1.09 0 ==> 1
% 0.69/1.09 1 ==> 0
% 0.69/1.09 end
% 0.69/1.09
% 0.69/1.09 subsumption: (5) {G0,W3,D1,L3,V0,M1} I { ! p, q, ! alpha1 }.
% 0.69/1.09 parent0: (21) {G0,W3,D1,L3,V0,M3} { ! alpha1, ! p, q }.
% 0.69/1.09 substitution0:
% 0.69/1.09 end
% 0.69/1.09 permutation0:
% 0.69/1.09 0 ==> 2
% 0.69/1.09 1 ==> 0
% 0.69/1.09 2 ==> 1
% 0.69/1.09 end
% 0.69/1.09
% 0.69/1.09 subsumption: (6) {G0,W2,D1,L2,V0,M1} I { p, alpha1 }.
% 0.69/1.09 parent0: (22) {G0,W2,D1,L2,V0,M2} { p, alpha1 }.
% 0.69/1.09 substitution0:
% 0.69/1.09 end
% 0.69/1.09 permutation0:
% 0.69/1.09 0 ==> 0
% 0.69/1.09 1 ==> 1
% 0.69/1.09 end
% 0.69/1.09
% 0.69/1.09 subsumption: (7) {G0,W2,D1,L2,V0,M1} I { alpha1, ! q }.
% 0.69/1.09 parent0: (23) {G0,W2,D1,L2,V0,M2} { ! q, alpha1 }.
% 0.69/1.09 substitution0:
% 0.69/1.09 end
% 0.69/1.09 permutation0:
% 0.69/1.09 0 ==> 1
% 0.69/1.09 1 ==> 0
% 0.69/1.09 end
% 0.69/1.09
% 0.69/1.09 resolution: (24) {G1,W2,D1,L2,V0,M2} { alpha2, p }.
% 0.69/1.09 parent0[1]: (1) {G0,W2,D1,L2,V0,M1} I { alpha2, ! alpha1 }.
% 0.69/1.09 parent1[1]: (6) {G0,W2,D1,L2,V0,M1} I { p, alpha1 }.
% 0.69/1.09 substitution0:
% 0.69/1.09 end
% 0.69/1.09 substitution1:
% 0.69/1.09 end
% 0.69/1.09
% 0.69/1.09 resolution: (25) {G1,W2,D1,L2,V0,M2} { p, p }.
% 0.69/1.09 parent0[1]: (4) {G0,W2,D1,L2,V0,M1} I { p, ! alpha2 }.
% 0.69/1.09 parent1[0]: (24) {G1,W2,D1,L2,V0,M2} { alpha2, p }.
% 0.69/1.09 substitution0:
% 0.69/1.09 end
% 0.69/1.09 substitution1:
% 0.69/1.09 end
% 0.69/1.09
% 0.69/1.09 factor: (26) {G1,W1,D1,L1,V0,M1} { p }.
% 0.69/1.09 parent0[0, 1]: (25) {G1,W2,D1,L2,V0,M2} { p, p }.
% 0.69/1.09 substitution0:
% 0.69/1.09 end
% 0.69/1.09
% 0.69/1.09 subsumption: (8) {G1,W1,D1,L1,V0,M1} R(1,6);r(4) { p }.
% 0.69/1.09 parent0: (26) {G1,W1,D1,L1,V0,M1} { p }.
% 0.69/1.09 substitution0:
% 0.69/1.09 end
% 0.69/1.09 permutation0:
% 0.69/1.09 0 ==> 0
% 0.69/1.09 end
% 0.69/1.09
% 0.69/1.09 resolution: (27) {G1,W2,D1,L2,V0,M2} { q, alpha2 }.
% 0.69/1.09 parent0[2]: (0) {G0,W3,D1,L3,V0,M1} I { q, alpha2, ! p }.
% 0.69/1.09 parent1[0]: (8) {G1,W1,D1,L1,V0,M1} R(1,6);r(4) { p }.
% 0.69/1.09 substitution0:
% 0.69/1.09 end
% 0.69/1.09 substitution1:
% 0.69/1.09 end
% 0.69/1.09
% 0.69/1.09 subsumption: (9) {G2,W2,D1,L2,V0,M1} R(8,0) { q, alpha2 }.
% 0.69/1.09 parent0: (27) {G1,W2,D1,L2,V0,M2} { q, alpha2 }.
% 0.69/1.09 substitution0:
% 0.69/1.09 end
% 0.69/1.09 permutation0:
% 0.69/1.09 0 ==> 0
% 0.69/1.09 1 ==> 1
% 0.69/1.09 end
% 0.69/1.09
% 0.69/1.09 resolution: (28) {G1,W2,D1,L2,V0,M2} { alpha1, q }.
% 0.69/1.09 parent0[1]: (2) {G0,W2,D1,L2,V0,M1} I { alpha1, ! alpha2 }.
% 0.69/1.09 parent1[1]: (9) {G2,W2,D1,L2,V0,M1} R(8,0) { q, alpha2 }.
% 0.69/1.09 substitution0:
% 0.69/1.09 end
% 0.69/1.09 substitution1:
% 0.69/1.09 end
% 0.69/1.09
% 0.69/1.09 resolution: (29) {G1,W2,D1,L2,V0,M2} { alpha1, alpha1 }.
% 0.69/1.09 parent0[1]: (7) {G0,W2,D1,L2,V0,M1} I { alpha1, ! q }.
% 0.69/1.09 parent1[1]: (28) {G1,W2,D1,L2,V0,M2} { alpha1, q }.
% 0.69/1.09 substitution0:
% 0.69/1.09 end
% 0.69/1.09 substitution1:
% 0.69/1.09 end
% 0.69/1.09
% 0.69/1.09 factor: (30) {G1,W1,D1,L1,V0,M1} { alpha1 }.
% 0.69/1.09 parent0[0, 1]: (29) {G1,W2,D1,L2,V0,M2} { alpha1, alpha1 }.
% 0.69/1.09 substitution0:
% 0.69/1.09 end
% 0.69/1.09
% 0.69/1.09 subsumption: (10) {G3,W1,D1,L1,V0,M1} R(9,2);r(7) { alpha1 }.
% 0.69/1.09 parent0: (30) {G1,W1,D1,L1,V0,M1} { alpha1 }.
% 0.69/1.09 substitution0:
% 0.69/1.09 end
% 0.69/1.09 permutation0:
% 0.69/1.09 0 ==> 0
% 0.69/1.09 end
% 0.69/1.09
% 0.69/1.09 resolution: (31) {G1,W1,D1,L1,V0,M1} { alpha2 }.
% 0.69/1.09 parent0[1]: (1) {G0,W2,D1,L2,V0,M1} I { alpha2, ! alpha1 }.
% 0.69/1.09 parent1[0]: (10) {G3,W1,D1,L1,V0,M1} R(9,2);r(7) { alpha1 }.
% 0.69/1.09 substitution0:
% 0.69/1.09 end
% 0.69/1.09 substitution1:
% 0.69/1.09 end
% 0.69/1.09
% 0.69/1.09 subsumption: (11) {G4,W1,D1,L1,V0,M1} R(10,1) { alpha2 }.
% 0.69/1.09 parent0: (31) {G1,W1,D1,L1,V0,M1} { alpha2 }.
% 0.69/1.09 substitution0:
% 0.69/1.09 end
% 0.69/1.09 permutation0:
% 0.69/1.09 0 ==> 0
% 0.69/1.09 end
% 0.69/1.09
% 0.69/1.09 resolution: (32) {G1,W2,D1,L2,V0,M2} { q, ! alpha1 }.
% 0.69/1.09 parent0[0]: (5) {G0,W3,D1,L3,V0,M1} I { ! p, q, ! alpha1 }.
% 0.69/1.09 parent1[0]: (8) {G1,W1,D1,L1,V0,M1} R(1,6);r(4) { p }.
% 0.69/1.09 substitution0:
% 0.69/1.09 end
% 0.69/1.09 substitution1:
% 0.69/1.09 end
% 0.69/1.09
% 0.69/1.09 resolution: (33) {G2,W1,D1,L1,V0,M1} { q }.
% 0.69/1.09 parent0[1]: (32) {G1,W2,D1,L2,V0,M2} { q, ! alpha1 }.
% 0.69/1.09 parent1[0]: (10) {G3,W1,D1,L1,V0,M1} R(9,2);r(7) { alpha1 }.
% 0.69/1.09 substitution0:
% 0.69/1.09 end
% 0.69/1.09 substitution1:
% 0.69/1.09 end
% 0.69/1.09
% 0.69/1.09 subsumption: (12) {G4,W1,D1,L1,V0,M1} S(5);r(8);r(10) { q }.
% 0.69/1.09 parent0: (33) {G2,W1,D1,L1,V0,M1} { q }.
% 0.69/1.09 substitution0:
% 0.69/1.09 end
% 0.69/1.09 permutation0:
% 0.69/1.10 0 ==> 0
% 0.69/1.10 end
% 0.69/1.10
% 0.69/1.10 resolution: (34) {G1,W1,D1,L1,V0,M1} { ! q }.
% 0.69/1.10 parent0[1]: (3) {G0,W2,D1,L2,V0,M1} I { ! q, ! alpha2 }.
% 0.69/1.10 parent1[0]: (11) {G4,W1,D1,L1,V0,M1} R(10,1) { alpha2 }.
% 0.69/1.10 substitution0:
% 0.69/1.10 end
% 0.69/1.10 substitution1:
% 0.69/1.10 end
% 0.69/1.10
% 0.69/1.10 resolution: (35) {G2,W0,D0,L0,V0,M0} { }.
% 0.69/1.10 parent0[0]: (34) {G1,W1,D1,L1,V0,M1} { ! q }.
% 0.69/1.10 parent1[0]: (12) {G4,W1,D1,L1,V0,M1} S(5);r(8);r(10) { q }.
% 0.69/1.10 substitution0:
% 0.69/1.10 end
% 0.69/1.10 substitution1:
% 0.69/1.10 end
% 0.69/1.10
% 0.69/1.10 subsumption: (13) {G5,W0,D0,L0,V0,M0} R(11,3);r(12) { }.
% 0.69/1.10 parent0: (35) {G2,W0,D0,L0,V0,M0} { }.
% 0.69/1.10 substitution0:
% 0.69/1.10 end
% 0.69/1.10 permutation0:
% 0.69/1.10 end
% 0.69/1.10
% 0.69/1.10 Proof check complete!
% 0.69/1.10
% 0.69/1.10 Memory use:
% 0.69/1.10
% 0.69/1.10 space for terms: 111
% 0.69/1.10 space for clauses: 578
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 clauses generated: 19
% 0.69/1.10 clauses kept: 14
% 0.69/1.10 clauses selected: 12
% 0.69/1.10 clauses deleted: 1
% 0.69/1.10 clauses inuse deleted: 0
% 0.69/1.10
% 0.69/1.10 subsentry: 4
% 0.69/1.10 literals s-matched: 4
% 0.69/1.10 literals matched: 4
% 0.69/1.10 full subsumption: 0
% 0.69/1.10
% 0.69/1.10 checksum: 1258
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 Bliksem ended
%------------------------------------------------------------------------------