TSTP Solution File: SET825-2 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET825-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n010.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 22:52:21 EDT 2022
% Result : Unsatisfiable 0.70s 1.08s
% Output : Refutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET825-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n010.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 : Sun Jul 10 05:54:00 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.70/1.08 *** allocated 10000 integers for termspace/termends
% 0.70/1.08 *** allocated 10000 integers for clauses
% 0.70/1.08 *** allocated 10000 integers for justifications
% 0.70/1.08 Bliksem 1.12
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 Automatic Strategy Selection
% 0.70/1.08
% 0.70/1.08 Clauses:
% 0.70/1.08 [
% 0.70/1.08 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId', 'tc_prod'( Y, Y ) )
% 0.70/1.08 ],
% 0.70/1.08 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId', 'tc_prod'( Z, Z )
% 0.70/1.08 ) ), =( X, Y ) ],
% 0.70/1.08 [ 'v_Q'( 'v_n' ) ],
% 0.70/1.08 [ ~( 'v_Q'( 'v_m' ) ) ],
% 0.70/1.08 [ 'c_in'( 'c_Pair'( 'v_n', 'v_m', 'tc_nat', 'tc_nat' ), X, 'tc_prod'(
% 0.70/1.08 'tc_nat', 'tc_nat' ) ), 'c_in'( 'c_Pair'( 'v_x'( X ), 'v_xa'( X ),
% 0.70/1.08 'tc_nat', 'tc_nat' ), X, 'tc_prod'( 'tc_nat', 'tc_nat' ) ), ~( 'c_in'(
% 0.70/1.08 'c_Pair'( 'c_0', 'c_0', 'tc_nat', 'tc_nat' ), X, 'tc_prod'( 'tc_nat',
% 0.70/1.08 'tc_nat' ) ) ) ],
% 0.70/1.08 [ 'c_in'( 'c_Pair'( 'v_n', 'v_m', 'tc_nat', 'tc_nat' ), X, 'tc_prod'(
% 0.70/1.08 'tc_nat', 'tc_nat' ) ), ~( 'c_in'( 'c_Pair'( 'c_Suc'( 'v_x'( X ) ),
% 0.70/1.08 'c_Suc'( 'v_xa'( X ) ), 'tc_nat', 'tc_nat' ), X, 'tc_prod'( 'tc_nat',
% 0.70/1.08 'tc_nat' ) ) ), ~( 'c_in'( 'c_Pair'( 'c_0', 'c_0', 'tc_nat', 'tc_nat' ),
% 0.70/1.08 X, 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ]
% 0.70/1.08 ] .
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 percentage equality = 0.090909, percentage horn = 0.833333
% 0.70/1.08 This is a problem with some equality
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 Options Used:
% 0.70/1.08
% 0.70/1.08 useres = 1
% 0.70/1.08 useparamod = 1
% 0.70/1.08 useeqrefl = 1
% 0.70/1.08 useeqfact = 1
% 0.70/1.08 usefactor = 1
% 0.70/1.08 usesimpsplitting = 0
% 0.70/1.08 usesimpdemod = 5
% 0.70/1.08 usesimpres = 3
% 0.70/1.08
% 0.70/1.08 resimpinuse = 1000
% 0.70/1.08 resimpclauses = 20000
% 0.70/1.08 substype = eqrewr
% 0.70/1.08 backwardsubs = 1
% 0.70/1.08 selectoldest = 5
% 0.70/1.08
% 0.70/1.08 litorderings [0] = split
% 0.70/1.08 litorderings [1] = extend the termordering, first sorting on arguments
% 0.70/1.08
% 0.70/1.08 termordering = kbo
% 0.70/1.08
% 0.70/1.08 litapriori = 0
% 0.70/1.08 termapriori = 1
% 0.70/1.08 litaposteriori = 0
% 0.70/1.08 termaposteriori = 0
% 0.70/1.08 demodaposteriori = 0
% 0.70/1.08 ordereqreflfact = 0
% 0.70/1.08
% 0.70/1.08 litselect = negord
% 0.70/1.08
% 0.70/1.08 maxweight = 15
% 0.70/1.08 maxdepth = 30000
% 0.70/1.08 maxlength = 115
% 0.70/1.08 maxnrvars = 195
% 0.70/1.08 excuselevel = 1
% 0.70/1.08 increasemaxweight = 1
% 0.70/1.08
% 0.70/1.08 maxselected = 10000000
% 0.70/1.08 maxnrclauses = 10000000
% 0.70/1.08
% 0.70/1.08 showgenerated = 0
% 0.70/1.08 showkept = 0
% 0.70/1.08 showselected = 0
% 0.70/1.08 showdeleted = 0
% 0.70/1.08 showresimp = 1
% 0.70/1.08 showstatus = 2000
% 0.70/1.08
% 0.70/1.08 prologoutput = 1
% 0.70/1.08 nrgoals = 5000000
% 0.70/1.08 totalproof = 1
% 0.70/1.08
% 0.70/1.08 Symbols occurring in the translation:
% 0.70/1.08
% 0.70/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.70/1.08 . [1, 2] (w:1, o:27, a:1, s:1, b:0),
% 0.70/1.08 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 0.70/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.08 'c_Pair' [41, 4] (w:1, o:54, a:1, s:1, b:0),
% 0.70/1.08 'c_Relation_OId' [42, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.70/1.08 'tc_prod' [43, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.70/1.08 'c_in' [44, 3] (w:1, o:53, a:1, s:1, b:0),
% 0.70/1.08 'v_n' [46, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.70/1.08 'v_Q' [47, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.70/1.08 'v_m' [48, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.70/1.08 'tc_nat' [49, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.70/1.08 'v_x' [51, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.70/1.08 'v_xa' [52, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.70/1.08 'c_0' [53, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.70/1.08 'c_Suc' [54, 1] (w:1, o:26, a:1, s:1, b:0).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 Starting Search:
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 Bliksems!, er is een bewijs:
% 0.70/1.08 % SZS status Unsatisfiable
% 0.70/1.08 % SZS output start Refutation
% 0.70/1.08
% 0.70/1.08 clause( 0, [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId', 'tc_prod'( Y
% 0.70/1.08 , Y ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 1, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId', 'tc_prod'(
% 0.70/1.08 Z, Z ) ) ), =( X, Y ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 2, [ 'v_Q'( 'v_n' ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 3, [ ~( 'v_Q'( 'v_m' ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 4, [ 'c_in'( 'c_Pair'( 'v_n', 'v_m', 'tc_nat', 'tc_nat' ), X,
% 0.70/1.08 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_in'( 'c_Pair'( 'v_x'( X ), 'v_xa'(
% 0.70/1.08 X ), 'tc_nat', 'tc_nat' ), X, 'tc_prod'( 'tc_nat', 'tc_nat' ) ), ~(
% 0.70/1.08 'c_in'( 'c_Pair'( 'c_0', 'c_0', 'tc_nat', 'tc_nat' ), X, 'tc_prod'(
% 0.70/1.08 'tc_nat', 'tc_nat' ) ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 5, [ 'c_in'( 'c_Pair'( 'v_n', 'v_m', 'tc_nat', 'tc_nat' ), X,
% 0.70/1.08 'tc_prod'( 'tc_nat', 'tc_nat' ) ), ~( 'c_in'( 'c_Pair'( 'c_Suc'( 'v_x'( X
% 0.70/1.08 ) ), 'c_Suc'( 'v_xa'( X ) ), 'tc_nat', 'tc_nat' ), X, 'tc_prod'(
% 0.70/1.08 'tc_nat', 'tc_nat' ) ) ), ~( 'c_in'( 'c_Pair'( 'c_0', 'c_0', 'tc_nat',
% 0.70/1.08 'tc_nat' ), X, 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 18, [ 'v_Q'( X ), ~( 'c_in'( 'c_Pair'( 'v_n', X, Y, Y ),
% 0.70/1.08 'c_Relation_OId', 'tc_prod'( Y, Y ) ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 22, [ ~( 'c_in'( 'c_Pair'( 'v_n', 'v_m', X, X ), 'c_Relation_OId',
% 0.70/1.08 'tc_prod'( X, X ) ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 25, [ ~( 'c_in'( 'c_Pair'( 'c_0', 'c_0', 'tc_nat', 'tc_nat' ),
% 0.70/1.08 'c_Relation_OId', 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ), =( 'v_xa'(
% 0.70/1.08 'c_Relation_OId' ), 'v_x'( 'c_Relation_OId' ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 47, [ ~( 'c_in'( 'c_Pair'( 'c_Suc'( 'v_x'( 'c_Relation_OId' ) ),
% 0.70/1.08 'c_Suc'( 'v_x'( 'c_Relation_OId' ) ), 'tc_nat', 'tc_nat' ),
% 0.70/1.08 'c_Relation_OId', 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 77, [] )
% 0.70/1.08 .
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 % SZS output end Refutation
% 0.70/1.08 found a proof!
% 0.70/1.08
% 0.70/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.08
% 0.70/1.08 initialclauses(
% 0.70/1.08 [ clause( 79, [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId', 'tc_prod'(
% 0.70/1.08 Y, Y ) ) ] )
% 0.70/1.08 , clause( 80, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId',
% 0.70/1.08 'tc_prod'( Z, Z ) ) ), =( X, Y ) ] )
% 0.70/1.08 , clause( 81, [ 'v_Q'( 'v_n' ) ] )
% 0.70/1.08 , clause( 82, [ ~( 'v_Q'( 'v_m' ) ) ] )
% 0.70/1.08 , clause( 83, [ 'c_in'( 'c_Pair'( 'v_n', 'v_m', 'tc_nat', 'tc_nat' ), X,
% 0.70/1.08 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_in'( 'c_Pair'( 'v_x'( X ), 'v_xa'(
% 0.70/1.08 X ), 'tc_nat', 'tc_nat' ), X, 'tc_prod'( 'tc_nat', 'tc_nat' ) ), ~(
% 0.70/1.08 'c_in'( 'c_Pair'( 'c_0', 'c_0', 'tc_nat', 'tc_nat' ), X, 'tc_prod'(
% 0.70/1.08 'tc_nat', 'tc_nat' ) ) ) ] )
% 0.70/1.08 , clause( 84, [ 'c_in'( 'c_Pair'( 'v_n', 'v_m', 'tc_nat', 'tc_nat' ), X,
% 0.70/1.08 'tc_prod'( 'tc_nat', 'tc_nat' ) ), ~( 'c_in'( 'c_Pair'( 'c_Suc'( 'v_x'( X
% 0.70/1.08 ) ), 'c_Suc'( 'v_xa'( X ) ), 'tc_nat', 'tc_nat' ), X, 'tc_prod'(
% 0.70/1.08 'tc_nat', 'tc_nat' ) ) ), ~( 'c_in'( 'c_Pair'( 'c_0', 'c_0', 'tc_nat',
% 0.70/1.08 'tc_nat' ), X, 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ] )
% 0.70/1.08 ] ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 0, [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId', 'tc_prod'( Y
% 0.70/1.08 , Y ) ) ] )
% 0.70/1.08 , clause( 79, [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId', 'tc_prod'(
% 0.70/1.08 Y, Y ) ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.08 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 1, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId', 'tc_prod'(
% 0.70/1.08 Z, Z ) ) ), =( X, Y ) ] )
% 0.70/1.08 , clause( 80, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId',
% 0.70/1.08 'tc_prod'( Z, Z ) ) ), =( X, Y ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.70/1.08 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 2, [ 'v_Q'( 'v_n' ) ] )
% 0.70/1.08 , clause( 81, [ 'v_Q'( 'v_n' ) ] )
% 0.70/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 3, [ ~( 'v_Q'( 'v_m' ) ) ] )
% 0.70/1.08 , clause( 82, [ ~( 'v_Q'( 'v_m' ) ) ] )
% 0.70/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 4, [ 'c_in'( 'c_Pair'( 'v_n', 'v_m', 'tc_nat', 'tc_nat' ), X,
% 0.70/1.08 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_in'( 'c_Pair'( 'v_x'( X ), 'v_xa'(
% 0.70/1.08 X ), 'tc_nat', 'tc_nat' ), X, 'tc_prod'( 'tc_nat', 'tc_nat' ) ), ~(
% 0.70/1.08 'c_in'( 'c_Pair'( 'c_0', 'c_0', 'tc_nat', 'tc_nat' ), X, 'tc_prod'(
% 0.70/1.08 'tc_nat', 'tc_nat' ) ) ) ] )
% 0.70/1.08 , clause( 83, [ 'c_in'( 'c_Pair'( 'v_n', 'v_m', 'tc_nat', 'tc_nat' ), X,
% 0.70/1.08 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_in'( 'c_Pair'( 'v_x'( X ), 'v_xa'(
% 0.70/1.08 X ), 'tc_nat', 'tc_nat' ), X, 'tc_prod'( 'tc_nat', 'tc_nat' ) ), ~(
% 0.70/1.08 'c_in'( 'c_Pair'( 'c_0', 'c_0', 'tc_nat', 'tc_nat' ), X, 'tc_prod'(
% 0.70/1.08 'tc_nat', 'tc_nat' ) ) ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.70/1.08 1 ), ==>( 2, 2 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 5, [ 'c_in'( 'c_Pair'( 'v_n', 'v_m', 'tc_nat', 'tc_nat' ), X,
% 0.70/1.08 'tc_prod'( 'tc_nat', 'tc_nat' ) ), ~( 'c_in'( 'c_Pair'( 'c_Suc'( 'v_x'( X
% 0.70/1.08 ) ), 'c_Suc'( 'v_xa'( X ) ), 'tc_nat', 'tc_nat' ), X, 'tc_prod'(
% 0.70/1.08 'tc_nat', 'tc_nat' ) ) ), ~( 'c_in'( 'c_Pair'( 'c_0', 'c_0', 'tc_nat',
% 0.70/1.08 'tc_nat' ), X, 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ] )
% 0.70/1.08 , clause( 84, [ 'c_in'( 'c_Pair'( 'v_n', 'v_m', 'tc_nat', 'tc_nat' ), X,
% 0.70/1.08 'tc_prod'( 'tc_nat', 'tc_nat' ) ), ~( 'c_in'( 'c_Pair'( 'c_Suc'( 'v_x'( X
% 0.70/1.08 ) ), 'c_Suc'( 'v_xa'( X ) ), 'tc_nat', 'tc_nat' ), X, 'tc_prod'(
% 0.70/1.08 'tc_nat', 'tc_nat' ) ) ), ~( 'c_in'( 'c_Pair'( 'c_0', 'c_0', 'tc_nat',
% 0.70/1.08 'tc_nat' ), X, 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 3.87/4.26 1 ), ==>( 2, 2 )] ) ).
% 3.87/4.26
% 3.87/4.26
% 3.87/4.26 paramod(
% 3.87/4.26 clause( 5266, [ 'v_Q'( X ), ~( 'c_in'( 'c_Pair'( 'v_n', X, Y, Y ),
% 3.87/4.26 'c_Relation_OId', 'tc_prod'( Y, Y ) ) ) ] )
% 3.87/4.26 , clause( 1, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId',
% 3.87/4.26 'tc_prod'( Z, Z ) ) ), =( X, Y ) ] )
% 3.87/4.26 , 1, clause( 2, [ 'v_Q'( 'v_n' ) ] )
% 3.87/4.26 , 0, 1, substitution( 0, [ :=( X, 'v_n' ), :=( Y, X ), :=( Z, Y )] ),
% 3.87/4.26 substitution( 1, [] )).
% 3.87/4.26
% 3.87/4.26
% 3.87/4.26 subsumption(
% 3.87/4.26 clause( 18, [ 'v_Q'( X ), ~( 'c_in'( 'c_Pair'( 'v_n', X, Y, Y ),
% 3.87/4.26 'c_Relation_OId', 'tc_prod'( Y, Y ) ) ) ] )
% 3.87/4.26 , clause( 5266, [ 'v_Q'( X ), ~( 'c_in'( 'c_Pair'( 'v_n', X, Y, Y ),
% 3.87/4.26 'c_Relation_OId', 'tc_prod'( Y, Y ) ) ) ] )
% 3.87/4.26 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.87/4.26 ), ==>( 1, 1 )] ) ).
% 3.87/4.26
% 3.87/4.26
% 3.87/4.26 resolution(
% 3.87/4.26 clause( 10441, [ ~( 'c_in'( 'c_Pair'( 'v_n', 'v_m', X, X ),
% 3.87/4.26 'c_Relation_OId', 'tc_prod'( X, X ) ) ) ] )
% 3.87/4.26 , clause( 3, [ ~( 'v_Q'( 'v_m' ) ) ] )
% 3.87/4.26 , 0, clause( 18, [ 'v_Q'( X ), ~( 'c_in'( 'c_Pair'( 'v_n', X, Y, Y ),
% 3.87/4.26 'c_Relation_OId', 'tc_prod'( Y, Y ) ) ) ] )
% 3.87/4.26 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_m' ), :=( Y, X )] )
% 3.87/4.26 ).
% 3.87/4.26
% 3.87/4.26
% 3.87/4.26 subsumption(
% 3.87/4.26 clause( 22, [ ~( 'c_in'( 'c_Pair'( 'v_n', 'v_m', X, X ), 'c_Relation_OId',
% 3.87/4.26 'tc_prod'( X, X ) ) ) ] )
% 3.87/4.26 , clause( 10441, [ ~( 'c_in'( 'c_Pair'( 'v_n', 'v_m', X, X ),
% 3.87/4.26 'c_Relation_OId', 'tc_prod'( X, X ) ) ) ] )
% 3.87/4.26 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.87/4.26
% 3.87/4.26
% 3.87/4.26 eqswap(
% 3.87/4.26 clause( 10442, [ =( Y, X ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 3.87/4.26 'c_Relation_OId', 'tc_prod'( Z, Z ) ) ) ] )
% 3.87/4.26 , clause( 1, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId',
% 3.87/4.26 'tc_prod'( Z, Z ) ) ), =( X, Y ) ] )
% 3.87/4.26 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 3.87/4.26
% 3.87/4.26
% 3.87/4.26 resolution(
% 3.87/4.26 clause( 10444, [ =( 'v_xa'( 'c_Relation_OId' ), 'v_x'( 'c_Relation_OId' ) )
% 3.87/4.26 , 'c_in'( 'c_Pair'( 'v_n', 'v_m', 'tc_nat', 'tc_nat' ), 'c_Relation_OId'
% 3.87/4.26 , 'tc_prod'( 'tc_nat', 'tc_nat' ) ), ~( 'c_in'( 'c_Pair'( 'c_0', 'c_0',
% 3.87/4.26 'tc_nat', 'tc_nat' ), 'c_Relation_OId', 'tc_prod'( 'tc_nat', 'tc_nat' ) )
% 3.87/4.26 ) ] )
% 3.87/4.26 , clause( 10442, [ =( Y, X ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 3.87/4.26 'c_Relation_OId', 'tc_prod'( Z, Z ) ) ) ] )
% 3.87/4.26 , 1, clause( 4, [ 'c_in'( 'c_Pair'( 'v_n', 'v_m', 'tc_nat', 'tc_nat' ), X,
% 3.87/4.26 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_in'( 'c_Pair'( 'v_x'( X ), 'v_xa'(
% 3.87/4.26 X ), 'tc_nat', 'tc_nat' ), X, 'tc_prod'( 'tc_nat', 'tc_nat' ) ), ~(
% 3.87/4.26 'c_in'( 'c_Pair'( 'c_0', 'c_0', 'tc_nat', 'tc_nat' ), X, 'tc_prod'(
% 3.87/4.26 'tc_nat', 'tc_nat' ) ) ) ] )
% 3.87/4.26 , 1, substitution( 0, [ :=( X, 'v_x'( 'c_Relation_OId' ) ), :=( Y, 'v_xa'(
% 3.87/4.26 'c_Relation_OId' ) ), :=( Z, 'tc_nat' )] ), substitution( 1, [ :=( X,
% 3.87/4.26 'c_Relation_OId' )] )).
% 3.87/4.26
% 3.87/4.26
% 3.87/4.26 resolution(
% 3.87/4.26 clause( 10445, [ =( 'v_xa'( 'c_Relation_OId' ), 'v_x'( 'c_Relation_OId' ) )
% 3.87/4.26 , ~( 'c_in'( 'c_Pair'( 'c_0', 'c_0', 'tc_nat', 'tc_nat' ),
% 3.87/4.26 'c_Relation_OId', 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ] )
% 3.87/4.26 , clause( 22, [ ~( 'c_in'( 'c_Pair'( 'v_n', 'v_m', X, X ), 'c_Relation_OId'
% 3.87/4.26 , 'tc_prod'( X, X ) ) ) ] )
% 3.87/4.26 , 0, clause( 10444, [ =( 'v_xa'( 'c_Relation_OId' ), 'v_x'(
% 3.87/4.26 'c_Relation_OId' ) ), 'c_in'( 'c_Pair'( 'v_n', 'v_m', 'tc_nat', 'tc_nat'
% 3.87/4.26 ), 'c_Relation_OId', 'tc_prod'( 'tc_nat', 'tc_nat' ) ), ~( 'c_in'(
% 3.87/4.26 'c_Pair'( 'c_0', 'c_0', 'tc_nat', 'tc_nat' ), 'c_Relation_OId', 'tc_prod'(
% 3.87/4.26 'tc_nat', 'tc_nat' ) ) ) ] )
% 3.87/4.26 , 1, substitution( 0, [ :=( X, 'tc_nat' )] ), substitution( 1, [] )).
% 3.87/4.26
% 3.87/4.26
% 3.87/4.26 subsumption(
% 3.87/4.26 clause( 25, [ ~( 'c_in'( 'c_Pair'( 'c_0', 'c_0', 'tc_nat', 'tc_nat' ),
% 3.87/4.26 'c_Relation_OId', 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ), =( 'v_xa'(
% 3.87/4.26 'c_Relation_OId' ), 'v_x'( 'c_Relation_OId' ) ) ] )
% 3.87/4.26 , clause( 10445, [ =( 'v_xa'( 'c_Relation_OId' ), 'v_x'( 'c_Relation_OId' )
% 3.87/4.26 ), ~( 'c_in'( 'c_Pair'( 'c_0', 'c_0', 'tc_nat', 'tc_nat' ),
% 3.87/4.26 'c_Relation_OId', 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ] )
% 3.87/4.26 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 3.87/4.26 ).
% 3.87/4.26
% 3.87/4.26
% 3.87/4.26 resolution(
% 3.87/4.26 clause( 10448, [ ~( 'c_in'( 'c_Pair'( 'c_Suc'( 'v_x'( 'c_Relation_OId' ) )
% 3.87/4.26 , 'c_Suc'( 'v_xa'( 'c_Relation_OId' ) ), 'tc_nat', 'tc_nat' ),
% 3.87/4.26 'c_Relation_OId', 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ), ~( 'c_in'(
% 3.87/4.26 'c_Pair'( 'c_0', 'c_0', 'tc_nat', 'tc_nat' ), 'c_Relation_OId', 'tc_prod'(
% 3.87/4.26 'tc_nat', 'tc_nat' ) ) ) ] )
% 3.87/4.26 , clause( 22, [ ~( 'c_in'( 'c_Pair'( 'v_n', 'v_m', X, X ), 'c_Relation_OId'
% 3.87/4.26 , 'tc_prod'( X, X ) ) ) ] )
% 3.87/4.26 , 0, clause( 5, [ 'c_in'( 'c_Pair'( 'v_n', 'v_m', 'tc_nat', 'tc_nat' ), X,
% 3.87/4.26 'tc_prod'( 'tc_nat', 'tc_nat' ) ), ~( 'c_in'( 'c_Pair'( 'c_Suc'( 'v_x'( X
% 3.87/4.26 ) ), 'c_Suc'( 'v_xa'( X ) ), 'tc_nat', 'tc_nat' ), X, 'tc_prod'(
% 3.87/4.26 'tc_nat', 'tc_nat' ) ) ), ~( 'c_in'( 'c_Pair'( 'c_0', 'c_0', 'tc_nat',
% 3.87/4.26 'tc_nat' ), X, 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ] )
% 3.87/4.26 , 0, substitution( 0, [ :=( X, 'tc_nat' )] ), substitution( 1, [ :=( X,
% 3.87/4.26 'c_Relation_OId' )] )).
% 3.87/4.26
% 3.87/4.26
% 3.87/4.26 paramod(
% 3.87/4.26 clause( 10449, [ ~( 'c_in'( 'c_Pair'( 'c_Suc'( 'v_x'( 'c_Relation_OId' ) )
% 3.87/4.26 , 'c_Suc'( 'v_x'( 'c_Relation_OId' ) ), 'tc_nat', 'tc_nat' ),
% 3.87/4.26 'c_Relation_OId', 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ), ~( 'c_in'(
% 3.87/4.26 'c_Pair'( 'c_0', 'c_0', 'tc_nat', 'tc_nat' ), 'c_Relation_OId', 'tc_prod'(
% 3.87/4.26 'tc_nat', 'tc_nat' ) ) ), ~( 'c_in'( 'c_Pair'( 'c_0', 'c_0', 'tc_nat',
% 3.87/4.26 'tc_nat' ), 'c_Relation_OId', 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ] )
% 3.87/4.26 , clause( 25, [ ~( 'c_in'( 'c_Pair'( 'c_0', 'c_0', 'tc_nat', 'tc_nat' ),
% 3.87/4.26 'c_Relation_OId', 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ), =( 'v_xa'(
% 3.87/4.26 'c_Relation_OId' ), 'v_x'( 'c_Relation_OId' ) ) ] )
% 3.87/4.26 , 1, clause( 10448, [ ~( 'c_in'( 'c_Pair'( 'c_Suc'( 'v_x'( 'c_Relation_OId'
% 3.87/4.26 ) ), 'c_Suc'( 'v_xa'( 'c_Relation_OId' ) ), 'tc_nat', 'tc_nat' ),
% 3.87/4.26 'c_Relation_OId', 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ), ~( 'c_in'(
% 3.87/4.26 'c_Pair'( 'c_0', 'c_0', 'tc_nat', 'tc_nat' ), 'c_Relation_OId', 'tc_prod'(
% 3.87/4.26 'tc_nat', 'tc_nat' ) ) ) ] )
% 3.87/4.26 , 0, 7, substitution( 0, [] ), substitution( 1, [] )).
% 3.87/4.26
% 3.87/4.26
% 3.87/4.26 factor(
% 3.87/4.26 clause( 10450, [ ~( 'c_in'( 'c_Pair'( 'c_Suc'( 'v_x'( 'c_Relation_OId' ) )
% 3.87/4.26 , 'c_Suc'( 'v_x'( 'c_Relation_OId' ) ), 'tc_nat', 'tc_nat' ),
% 3.87/4.26 'c_Relation_OId', 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ), ~( 'c_in'(
% 3.87/4.26 'c_Pair'( 'c_0', 'c_0', 'tc_nat', 'tc_nat' ), 'c_Relation_OId', 'tc_prod'(
% 3.87/4.26 'tc_nat', 'tc_nat' ) ) ) ] )
% 3.87/4.26 , clause( 10449, [ ~( 'c_in'( 'c_Pair'( 'c_Suc'( 'v_x'( 'c_Relation_OId' )
% 3.87/4.26 ), 'c_Suc'( 'v_x'( 'c_Relation_OId' ) ), 'tc_nat', 'tc_nat' ),
% 3.87/4.26 'c_Relation_OId', 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ), ~( 'c_in'(
% 3.87/4.26 'c_Pair'( 'c_0', 'c_0', 'tc_nat', 'tc_nat' ), 'c_Relation_OId', 'tc_prod'(
% 3.87/4.26 'tc_nat', 'tc_nat' ) ) ), ~( 'c_in'( 'c_Pair'( 'c_0', 'c_0', 'tc_nat',
% 3.87/4.26 'tc_nat' ), 'c_Relation_OId', 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ] )
% 3.87/4.26 , 1, 2, substitution( 0, [] )).
% 3.87/4.26
% 3.87/4.26
% 3.87/4.26 resolution(
% 3.87/4.26 clause( 10452, [ ~( 'c_in'( 'c_Pair'( 'c_Suc'( 'v_x'( 'c_Relation_OId' ) )
% 3.87/4.26 , 'c_Suc'( 'v_x'( 'c_Relation_OId' ) ), 'tc_nat', 'tc_nat' ),
% 3.87/4.26 'c_Relation_OId', 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ] )
% 3.87/4.26 , clause( 10450, [ ~( 'c_in'( 'c_Pair'( 'c_Suc'( 'v_x'( 'c_Relation_OId' )
% 3.87/4.26 ), 'c_Suc'( 'v_x'( 'c_Relation_OId' ) ), 'tc_nat', 'tc_nat' ),
% 3.87/4.26 'c_Relation_OId', 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ), ~( 'c_in'(
% 3.87/4.26 'c_Pair'( 'c_0', 'c_0', 'tc_nat', 'tc_nat' ), 'c_Relation_OId', 'tc_prod'(
% 3.87/4.26 'tc_nat', 'tc_nat' ) ) ) ] )
% 3.87/4.26 , 1, clause( 0, [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId',
% 3.87/4.26 'tc_prod'( Y, Y ) ) ] )
% 3.87/4.26 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'c_0' ), :=( Y,
% 3.87/4.26 'tc_nat' )] )).
% 3.87/4.26
% 3.87/4.26
% 3.87/4.26 subsumption(
% 3.87/4.26 clause( 47, [ ~( 'c_in'( 'c_Pair'( 'c_Suc'( 'v_x'( 'c_Relation_OId' ) ),
% 3.87/4.26 'c_Suc'( 'v_x'( 'c_Relation_OId' ) ), 'tc_nat', 'tc_nat' ),
% 3.87/4.26 'c_Relation_OId', 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ] )
% 3.87/4.26 , clause( 10452, [ ~( 'c_in'( 'c_Pair'( 'c_Suc'( 'v_x'( 'c_Relation_OId' )
% 3.87/4.26 ), 'c_Suc'( 'v_x'( 'c_Relation_OId' ) ), 'tc_nat', 'tc_nat' ),
% 3.87/4.26 'c_Relation_OId', 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ] )
% 3.87/4.26 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.87/4.26
% 3.87/4.26
% 3.87/4.26 resolution(
% 3.87/4.26 clause( 10453, [] )
% 3.87/4.26 , clause( 47, [ ~( 'c_in'( 'c_Pair'( 'c_Suc'( 'v_x'( 'c_Relation_OId' ) ),
% 3.87/4.26 'c_Suc'( 'v_x'( 'c_Relation_OId' ) ), 'tc_nat', 'tc_nat' ),
% 3.87/4.26 'c_Relation_OId', 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ] )
% 3.87/4.26 , 0, clause( 0, [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId',
% 3.87/4.26 'tc_prod'( Y, Y ) ) ] )
% 3.87/4.26 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'c_Suc'( 'v_x'(
% 3.87/4.26 'c_Relation_OId' ) ) ), :=( Y, 'tc_nat' )] )).
% 3.87/4.26
% 3.87/4.26
% 3.87/4.26 subsumption(
% 3.87/4.26 clause( 77, [] )
% 3.87/4.26 , clause( 10453, [] )
% 3.87/4.26 , substitution( 0, [] ), permutation( 0, [] ) ).
% 3.87/4.26
% 3.87/4.26
% 3.87/4.26 end.
% 3.87/4.26
% 3.87/4.26 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 3.87/4.26
% 3.87/4.26 Memory use:
% 3.87/4.26
% 3.87/4.26 space for terms: 2803
% 3.87/4.26 space for clauses: 5121
% 3.87/4.26
% 3.87/4.26
% 3.87/4.26 clauses generated: 490
% 3.87/4.26 clauses kept: 78
% 3.87/4.26 clauses selected: 15
% 3.87/4.26 clauses deleted: 2
% 3.87/4.26 clauses inuse deleted: 0
% 3.87/4.26
% 3.87/4.26 subsentry: 10963814
% 3.87/4.26 literals s-matched: 1067816
% 3.87/4.26 literals matched: 794894
% 3.87/4.26 full subsumption: 769593
% 3.87/4.26
% 3.87/4.26 checksum: -1579683113
% 3.87/4.26
% 3.87/4.26
% 3.87/4.26 Bliksem ended
%------------------------------------------------------------------------------