TSTP Solution File: SET820-2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET820-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n006.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 : Mon Jul 18 22:52:16 EDT 2022
% Result : Unsatisfiable 0.70s 1.10s
% Output : Refutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET820-2 : TPTP v8.1.0. Released v3.2.0.
% 0.13/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sat Jul 9 18:50:06 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.70/1.10 *** allocated 10000 integers for termspace/termends
% 0.70/1.10 *** allocated 10000 integers for clauses
% 0.70/1.10 *** allocated 10000 integers for justifications
% 0.70/1.10 Bliksem 1.12
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Automatic Strategy Selection
% 0.70/1.10
% 0.70/1.10 Clauses:
% 0.70/1.10 [
% 0.70/1.10 [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ],
% 0.70/1.10 [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ],
% 0.70/1.10 [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), =( X, Y
% 0.70/1.10 ) ],
% 0.70/1.10 [ 'v_P'( 'v_a' ) ],
% 0.70/1.10 [ ~( 'c_in'( X, Y, 'tc_IntDef_Oint' ) ), 'c_in'( 'v_x'( Y ), Y,
% 0.70/1.10 'tc_IntDef_Oint' ) ],
% 0.70/1.10 [ ~( 'c_in'( X, Y, 'tc_IntDef_Oint' ) ), ~( 'v_P'( 'v_x'( Y ) ) ) ]
% 0.70/1.10 ] .
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 percentage equality = 0.100000, percentage horn = 0.833333
% 0.70/1.10 This is a problem with some equality
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Options Used:
% 0.70/1.10
% 0.70/1.10 useres = 1
% 0.70/1.10 useparamod = 1
% 0.70/1.10 useeqrefl = 1
% 0.70/1.10 useeqfact = 1
% 0.70/1.10 usefactor = 1
% 0.70/1.10 usesimpsplitting = 0
% 0.70/1.10 usesimpdemod = 5
% 0.70/1.10 usesimpres = 3
% 0.70/1.10
% 0.70/1.10 resimpinuse = 1000
% 0.70/1.10 resimpclauses = 20000
% 0.70/1.10 substype = eqrewr
% 0.70/1.10 backwardsubs = 1
% 0.70/1.10 selectoldest = 5
% 0.70/1.10
% 0.70/1.10 litorderings [0] = split
% 0.70/1.10 litorderings [1] = extend the termordering, first sorting on arguments
% 0.70/1.10
% 0.70/1.10 termordering = kbo
% 0.70/1.10
% 0.70/1.10 litapriori = 0
% 0.70/1.10 termapriori = 1
% 0.70/1.10 litaposteriori = 0
% 0.70/1.10 termaposteriori = 0
% 0.70/1.10 demodaposteriori = 0
% 0.70/1.10 ordereqreflfact = 0
% 0.70/1.10
% 0.70/1.10 litselect = negord
% 0.70/1.10
% 0.70/1.10 maxweight = 15
% 0.70/1.10 maxdepth = 30000
% 0.70/1.10 maxlength = 115
% 0.70/1.10 maxnrvars = 195
% 0.70/1.10 excuselevel = 1
% 0.70/1.10 increasemaxweight = 1
% 0.70/1.10
% 0.70/1.10 maxselected = 10000000
% 0.70/1.10 maxnrclauses = 10000000
% 0.70/1.10
% 0.70/1.10 showgenerated = 0
% 0.70/1.10 showkept = 0
% 0.70/1.10 showselected = 0
% 0.70/1.10 showdeleted = 0
% 0.70/1.10 showresimp = 1
% 0.70/1.10 showstatus = 2000
% 0.70/1.10
% 0.70/1.10 prologoutput = 1
% 0.70/1.10 nrgoals = 5000000
% 0.70/1.10 totalproof = 1
% 0.70/1.10
% 0.70/1.10 Symbols occurring in the translation:
% 0.70/1.10
% 0.70/1.10 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.70/1.10 . [1, 2] (w:1, o:28, a:1, s:1, b:0),
% 0.70/1.10 ! [4, 1] (w:0, o:21, a:1, s:1, b:0),
% 0.70/1.10 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.10 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.10 'c_emptyset' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.70/1.10 'c_in' [42, 3] (w:1, o:53, a:1, s:1, b:0),
% 0.70/1.10 'c_insert' [45, 3] (w:1, o:54, a:1, s:1, b:0),
% 0.70/1.10 'v_a' [48, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.70/1.10 'v_P' [49, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.70/1.10 'tc_IntDef_Oint' [52, 0] (w:1, o:19, a:1, s:1, b:0),
% 0.70/1.10 'v_x' [53, 1] (w:1, o:27, a:1, s:1, b:0).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Starting Search:
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Bliksems!, er is een bewijs:
% 0.70/1.10 % SZS status Unsatisfiable
% 0.70/1.10 % SZS output start Refutation
% 0.70/1.10
% 0.70/1.10 clause( 0, [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 1, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 2, [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z, T )
% 0.70/1.10 , =( X, Y ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 3, [ 'v_P'( 'v_a' ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 4, [ ~( 'c_in'( X, Y, 'tc_IntDef_Oint' ) ), 'c_in'( 'v_x'( Y ), Y,
% 0.70/1.10 'tc_IntDef_Oint' ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 5, [ ~( 'c_in'( X, Y, 'tc_IntDef_Oint' ) ), ~( 'v_P'( 'v_x'( Y ) )
% 0.70/1.10 ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 9, [ ~( 'c_in'( X, 'c_insert'( Y, 'c_emptyset', Z ), Z ) ), =( X, Y
% 0.70/1.10 ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 25, [ 'c_in'( 'v_x'( 'c_insert'( X, Y, 'tc_IntDef_Oint' ) ),
% 0.70/1.10 'c_insert'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 39, [ ~( 'c_in'( Z, X, 'tc_IntDef_Oint' ) ), ~( 'v_P'( Y ) ), ~(
% 0.70/1.10 'c_in'( 'v_x'( X ), 'c_insert'( Y, 'c_emptyset', T ), T ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 48, [ ~( 'v_P'( X ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 49, [] )
% 0.70/1.10 .
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 % SZS output end Refutation
% 0.70/1.10 found a proof!
% 0.70/1.10
% 0.70/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.10
% 0.70/1.10 initialclauses(
% 0.70/1.10 [ clause( 51, [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ] )
% 0.70/1.10 , clause( 52, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 0.70/1.10 , clause( 53, [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z, T
% 0.70/1.10 ), =( X, Y ) ] )
% 0.70/1.10 , clause( 54, [ 'v_P'( 'v_a' ) ] )
% 0.70/1.10 , clause( 55, [ ~( 'c_in'( X, Y, 'tc_IntDef_Oint' ) ), 'c_in'( 'v_x'( Y ),
% 0.70/1.10 Y, 'tc_IntDef_Oint' ) ] )
% 0.70/1.10 , clause( 56, [ ~( 'c_in'( X, Y, 'tc_IntDef_Oint' ) ), ~( 'v_P'( 'v_x'( Y )
% 0.70/1.10 ) ) ] )
% 0.70/1.10 ] ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 0, [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ] )
% 0.70/1.10 , clause( 51, [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.10 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 1, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 0.70/1.10 , clause( 52, [ 'c_in'( X, 'c_insert'( X, Y,Cputime limit exceeded (core dumped)
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