TSTP Solution File: PRO010+4 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : PRO010+4 : TPTP v8.1.0. Released v4.0.0.
% 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 17:39:56 EDT 2022
% Result : Theorem 0.77s 1.64s
% Output : Refutation 0.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PRO010+4 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % 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 : Mon Jun 13 01:26:42 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.73/1.15 *** allocated 10000 integers for termspace/termends
% 0.73/1.15 *** allocated 10000 integers for clauses
% 0.73/1.15 *** allocated 10000 integers for justifications
% 0.73/1.15 Bliksem 1.12
% 0.73/1.15
% 0.73/1.15
% 0.73/1.15 Automatic Strategy Selection
% 0.73/1.15
% 0.73/1.15
% 0.73/1.15 Clauses:
% 0.73/1.15
% 0.73/1.15 { ! occurrence_of( Y, X ), atomic( X ), subactivity_occurrence( skol1( Z, Y
% 0.73/1.15 ), Y ) }.
% 0.73/1.15 { ! occurrence_of( Y, X ), atomic( X ), root( skol1( X, Y ), X ) }.
% 0.73/1.15 { ! occurrence_of( T, X ), ! root_occ( U, T ), ! leaf_occ( Z, T ), !
% 0.73/1.15 subactivity_occurrence( Y, T ), ! min_precedes( U, Y, X ), Y = Z,
% 0.73/1.15 min_precedes( Y, Z, X ) }.
% 0.73/1.15 { ! occurrence_of( T, Z ), ! subactivity_occurrence( X, T ), ! leaf_occ( Y
% 0.73/1.15 , T ), ! arboreal( X ), min_precedes( X, Y, Z ), Y = X }.
% 0.73/1.15 { ! occurrence_of( Y, X ), activity( X ) }.
% 0.73/1.15 { ! occurrence_of( Y, X ), activity_occurrence( Y ) }.
% 0.73/1.15 { ! occurrence_of( T, X ), ! arboreal( Y ), ! arboreal( Z ), !
% 0.73/1.15 subactivity_occurrence( Y, T ), ! subactivity_occurrence( Z, T ),
% 0.73/1.15 min_precedes( Y, Z, X ), min_precedes( Z, Y, X ), Y = Z }.
% 0.73/1.15 { ! root( Y, X ), atocc( Y, skol2( Z, Y ) ) }.
% 0.73/1.15 { ! root( Y, X ), subactivity( skol2( X, Y ), X ) }.
% 0.73/1.15 { ! min_precedes( Y, Z, X ), subactivity_occurrence( Z, skol3( T, U, Z ) )
% 0.73/1.15 }.
% 0.73/1.15 { ! min_precedes( Y, Z, X ), subactivity_occurrence( Y, skol3( T, Y, Z ) )
% 0.73/1.15 }.
% 0.73/1.15 { ! min_precedes( Y, Z, X ), occurrence_of( skol3( X, Y, Z ), X ) }.
% 0.73/1.15 { ! leaf( X, Y ), atomic( Y ), occurrence_of( skol4( Z, Y ), Y ) }.
% 0.73/1.15 { ! leaf( X, Y ), atomic( Y ), leaf_occ( X, skol4( X, Y ) ) }.
% 0.73/1.15 { ! occurrence_of( Z, X ), ! occurrence_of( Z, Y ), X = Y }.
% 0.73/1.15 { ! occurrence_of( Z, Y ), ! leaf_occ( X, Z ), ! min_precedes( X, T, Y ) }
% 0.73/1.15 .
% 0.73/1.15 { ! occurrence_of( Z, Y ), ! root_occ( X, Z ), ! min_precedes( T, X, Y ) }
% 0.73/1.15 .
% 0.73/1.15 { ! subactivity_occurrence( X, Y ), activity_occurrence( X ) }.
% 0.73/1.15 { ! subactivity_occurrence( X, Y ), activity_occurrence( Y ) }.
% 0.73/1.15 { ! activity_occurrence( X ), activity( skol5( Y ) ) }.
% 0.73/1.15 { ! activity_occurrence( X ), occurrence_of( X, skol5( X ) ) }.
% 0.73/1.15 { ! legal( X ), arboreal( X ) }.
% 0.73/1.15 { ! atocc( X, Y ), subactivity( Y, skol6( Z, Y ) ) }.
% 0.73/1.15 { ! atocc( X, Y ), alpha1( X, skol6( X, Y ) ) }.
% 0.73/1.15 { ! subactivity( Y, Z ), ! alpha1( X, Z ), atocc( X, Y ) }.
% 0.73/1.15 { ! alpha1( X, Y ), atomic( Y ) }.
% 0.73/1.15 { ! alpha1( X, Y ), occurrence_of( X, Y ) }.
% 0.73/1.15 { ! atomic( Y ), ! occurrence_of( X, Y ), alpha1( X, Y ) }.
% 0.73/1.15 { ! leaf( X, Y ), alpha2( X, Y ) }.
% 0.73/1.15 { ! leaf( X, Y ), ! min_precedes( X, Z, Y ) }.
% 0.73/1.15 { ! alpha2( X, Y ), min_precedes( X, skol7( X, Y ), Y ), leaf( X, Y ) }.
% 0.73/1.15 { ! alpha2( X, Y ), root( X, Y ), min_precedes( skol8( X, Y ), X, Y ) }.
% 0.73/1.15 { ! root( X, Y ), alpha2( X, Y ) }.
% 0.73/1.15 { ! min_precedes( Z, X, Y ), alpha2( X, Y ) }.
% 0.73/1.15 { ! occurrence_of( X, Y ), ! arboreal( X ), atomic( Y ) }.
% 0.73/1.15 { ! occurrence_of( X, Y ), ! atomic( Y ), arboreal( X ) }.
% 0.73/1.15 { ! root( X, Y ), legal( X ) }.
% 0.73/1.15 { ! leaf_occ( X, Y ), occurrence_of( Y, skol9( Z, Y ) ) }.
% 0.73/1.15 { ! leaf_occ( X, Y ), alpha3( X, Y, skol9( X, Y ) ) }.
% 0.73/1.15 { ! occurrence_of( Y, Z ), ! alpha3( X, Y, Z ), leaf_occ( X, Y ) }.
% 0.73/1.15 { ! alpha3( X, Y, Z ), subactivity_occurrence( X, Y ) }.
% 0.73/1.15 { ! alpha3( X, Y, Z ), leaf( X, Z ) }.
% 0.73/1.15 { ! subactivity_occurrence( X, Y ), ! leaf( X, Z ), alpha3( X, Y, Z ) }.
% 0.73/1.15 { ! root_occ( X, Y ), occurrence_of( Y, skol10( Z, Y ) ) }.
% 0.73/1.15 { ! root_occ( X, Y ), alpha4( X, Y, skol10( X, Y ) ) }.
% 0.73/1.15 { ! occurrence_of( Y, Z ), ! alpha4( X, Y, Z ), root_occ( X, Y ) }.
% 0.73/1.15 { ! alpha4( X, Y, Z ), subactivity_occurrence( X, Y ) }.
% 0.73/1.15 { ! alpha4( X, Y, Z ), root( X, Z ) }.
% 0.73/1.15 { ! subactivity_occurrence( X, Y ), ! root( X, Z ), alpha4( X, Y, Z ) }.
% 0.73/1.15 { ! earlier( X, Y ), ! earlier( Y, X ) }.
% 0.73/1.15 { ! precedes( X, Y ), earlier( X, Y ) }.
% 0.73/1.15 { ! precedes( X, Y ), legal( Y ) }.
% 0.73/1.15 { ! earlier( X, Y ), ! legal( Y ), precedes( X, Y ) }.
% 0.73/1.15 { ! min_precedes( Z, X, Y ), ! root( X, Y ) }.
% 0.73/1.15 { ! min_precedes( Z, X, Y ), root( skol11( T, Y ), Y ) }.
% 0.73/1.15 { ! min_precedes( Z, X, Y ), min_precedes( skol11( X, Y ), X, Y ) }.
% 0.73/1.15 { ! min_precedes( X, Y, Z ), precedes( X, Y ) }.
% 0.73/1.15 { ! next_subocc( X, Y, Z ), arboreal( X ) }.
% 0.73/1.15 { ! next_subocc( X, Y, Z ), arboreal( Y ) }.
% 0.73/1.15 { ! next_subocc( X, Y, Z ), min_precedes( X, Y, Z ) }.
% 0.73/1.15 { ! next_subocc( X, Y, Z ), alpha5( X, Y, Z ) }.
% 0.73/1.15 { ! min_precedes( X, Y, Z ), ! alpha5( X, Y, Z ), next_subocc( X, Y, Z ) }
% 0.73/1.15 .
% 0.73/1.15 { ! alpha5( X, Y, Z ), ! min_precedes( X, T, Z ), ! min_precedes( T, Y, Z )
% 0.77/1.64 }.
% 0.77/1.64 { min_precedes( skol12( T, Y, Z ), Y, Z ), alpha5( X, Y, Z ) }.
% 0.77/1.64 { min_precedes( X, skol12( X, Y, Z ), Z ), alpha5( X, Y, Z ) }.
% 0.77/1.64 { ! min_precedes( X, Z, T ), ! occurrence_of( Y, T ), !
% 0.77/1.64 subactivity_occurrence( Z, Y ), subactivity_occurrence( X, Y ) }.
% 0.77/1.64 { ! occurrence_of( Z, T ), atomic( T ), ! leaf_occ( X, Z ), ! leaf_occ( Y,
% 0.77/1.64 Z ), X = Y }.
% 0.77/1.64 { ! occurrence_of( Z, T ), ! root_occ( X, Z ), ! root_occ( Y, Z ), X = Y }
% 0.77/1.64 .
% 0.77/1.64 { ! earlier( X, Z ), ! earlier( Z, Y ), earlier( X, Y ) }.
% 0.77/1.64 { ! min_precedes( T, X, Z ), ! min_precedes( T, Y, Z ), ! precedes( X, Y )
% 0.77/1.64 , min_precedes( X, Y, Z ) }.
% 0.77/1.64 { ! occurrence_of( X, tptp0 ), alpha6( X, skol13( X ) ) }.
% 0.77/1.64 { ! occurrence_of( X, tptp0 ), alpha8( skol13( X ), skol18( X ) ) }.
% 0.77/1.64 { ! occurrence_of( X, tptp0 ), alpha10( X, skol18( X ) ) }.
% 0.77/1.64 { ! alpha10( X, Y ), alpha12( skol14( Z, T ) ) }.
% 0.77/1.64 { ! alpha10( X, Y ), next_subocc( Y, skol14( Z, Y ), tptp0 ) }.
% 0.77/1.64 { ! alpha10( X, Y ), leaf_occ( skol14( X, Y ), X ) }.
% 0.77/1.64 { ! alpha12( Z ), ! next_subocc( Y, Z, tptp0 ), ! leaf_occ( Z, X ), alpha10
% 0.77/1.64 ( X, Y ) }.
% 0.77/1.64 { ! alpha12( X ), occurrence_of( X, tptp1 ), occurrence_of( X, tptp2 ) }.
% 0.77/1.64 { ! occurrence_of( X, tptp1 ), alpha12( X ) }.
% 0.77/1.64 { ! occurrence_of( X, tptp2 ), alpha12( X ) }.
% 0.77/1.64 { ! alpha8( X, Y ), occurrence_of( Y, tptp4 ) }.
% 0.77/1.64 { ! alpha8( X, Y ), next_subocc( X, Y, tptp0 ) }.
% 0.77/1.64 { ! occurrence_of( Y, tptp4 ), ! next_subocc( X, Y, tptp0 ), alpha8( X, Y )
% 0.77/1.64 }.
% 0.77/1.64 { ! alpha6( X, Y ), occurrence_of( Y, tptp3 ) }.
% 0.77/1.64 { ! alpha6( X, Y ), root_occ( Y, X ) }.
% 0.77/1.64 { ! occurrence_of( Y, tptp3 ), ! root_occ( Y, X ), alpha6( X, Y ) }.
% 0.77/1.64 { activity( tptp0 ) }.
% 0.77/1.64 { ! atomic( tptp0 ) }.
% 0.77/1.64 { atomic( tptp4 ) }.
% 0.77/1.64 { atomic( tptp1 ) }.
% 0.77/1.64 { atomic( tptp2 ) }.
% 0.77/1.64 { atomic( tptp3 ) }.
% 0.77/1.64 { ! tptp4 = tptp3 }.
% 0.77/1.64 { ! tptp4 = tptp1 }.
% 0.77/1.64 { ! tptp4 = tptp2 }.
% 0.77/1.64 { ! tptp3 = tptp1 }.
% 0.77/1.64 { ! tptp3 = tptp2 }.
% 0.77/1.64 { ! tptp1 = tptp2 }.
% 0.77/1.64 { occurrence_of( skol15, tptp0 ) }.
% 0.77/1.64 { ! leaf_occ( X, skol15 ), alpha11( X, Y ), occurrence_of( X, tptp2 ) }.
% 0.77/1.64 { ! leaf_occ( X, skol15 ), alpha11( X, Y ), alpha9( Y ) }.
% 0.77/1.64 { ! alpha11( X, Y ), occurrence_of( X, tptp1 ) }.
% 0.77/1.64 { ! alpha11( X, Y ), alpha7( Y ) }.
% 0.77/1.64 { ! occurrence_of( X, tptp1 ), ! alpha7( Y ), alpha11( X, Y ) }.
% 0.77/1.64 { ! alpha9( X ), occurrence_of( skol16( Y ), tptp1 ) }.
% 0.77/1.64 { ! alpha9( X ), min_precedes( X, skol16( X ), tptp0 ) }.
% 0.77/1.64 { ! occurrence_of( Y, tptp1 ), ! min_precedes( X, Y, tptp0 ), alpha9( X ) }
% 0.77/1.64 .
% 0.77/1.64 { ! alpha7( X ), occurrence_of( skol17( Y ), tptp2 ) }.
% 0.77/1.64 { ! alpha7( X ), min_precedes( X, skol17( X ), tptp0 ) }.
% 0.77/1.64 { ! occurrence_of( Y, tptp2 ), ! min_precedes( X, Y, tptp0 ), alpha7( X ) }
% 0.77/1.64 .
% 0.77/1.64
% 0.77/1.64 percentage equality = 0.045802, percentage horn = 0.863636
% 0.77/1.64 This is a problem with some equality
% 0.77/1.64
% 0.77/1.64
% 0.77/1.64
% 0.77/1.64 Options Used:
% 0.77/1.64
% 0.77/1.64 useres = 1
% 0.77/1.64 useparamod = 1
% 0.77/1.64 useeqrefl = 1
% 0.77/1.64 useeqfact = 1
% 0.77/1.64 usefactor = 1
% 0.77/1.64 usesimpsplitting = 0
% 0.77/1.64 usesimpdemod = 5
% 0.77/1.64 usesimpres = 3
% 0.77/1.64
% 0.77/1.64 resimpinuse = 1000
% 0.77/1.64 resimpclauses = 20000
% 0.77/1.64 substype = eqrewr
% 0.77/1.64 backwardsubs = 1
% 0.77/1.64 selectoldest = 5
% 0.77/1.64
% 0.77/1.64 litorderings [0] = split
% 0.77/1.64 litorderings [1] = extend the termordering, first sorting on arguments
% 0.77/1.64
% 0.77/1.64 termordering = kbo
% 0.77/1.64
% 0.77/1.64 litapriori = 0
% 0.77/1.64 termapriori = 1
% 0.77/1.64 litaposteriori = 0
% 0.77/1.64 termaposteriori = 0
% 0.77/1.64 demodaposteriori = 0
% 0.77/1.64 ordereqreflfact = 0
% 0.77/1.64
% 0.77/1.64 litselect = negord
% 0.77/1.64
% 0.77/1.64 maxweight = 15
% 0.77/1.64 maxdepth = 30000
% 0.77/1.64 maxlength = 115
% 0.77/1.64 maxnrvars = 195
% 0.77/1.64 excuselevel = 1
% 0.77/1.64 increasemaxweight = 1
% 0.77/1.64
% 0.77/1.64 maxselected = 10000000
% 0.77/1.64 maxnrclauses = 10000000
% 0.77/1.64
% 0.77/1.64 showgenerated = 0
% 0.77/1.64 showkept = 0
% 0.77/1.64 showselected = 0
% 0.77/1.64 showdeleted = 0
% 0.77/1.64 showresimp = 1
% 0.77/1.64 showstatus = 2000
% 0.77/1.64
% 0.77/1.64 prologoutput = 0
% 0.77/1.64 nrgoals = 5000000
% 0.77/1.64 totalproof = 1
% 0.77/1.64
% 0.77/1.64 Symbols occurring in the translation:
% 0.77/1.64
% 0.77/1.64 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.77/1.64 . [1, 2] (w:1, o:140, a:1, s:1, b:0),
% 0.77/1.64 ! [4, 1] (w:0, o:122, a:1, s:1, b:0),
% 0.77/1.64 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.77/1.64 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.77/1.64 occurrence_of [37, 2] (w:1, o:164, a:1, s:1, b:0),
% 0.77/1.64 atomic [38, 1] (w:1, o:127, a:1, s:1, b:0),
% 0.77/1.64 root [40, 2] (w:1, o:165, a:1, s:1, b:0),
% 0.77/1.64 subactivity_occurrence [41, 2] (w:1, o:167, a:1, s:1, b:0),
% 0.77/1.64 root_occ [47, 2] (w:1, o:166, a:1, s:1, b:0),
% 0.77/1.64 leaf_occ [48, 2] (w:1, o:168, a:1, s:1, b:0),
% 0.77/1.64 min_precedes [49, 3] (w:1, o:190, a:1, s:1, b:0),
% 0.77/1.64 arboreal [54, 1] (w:1, o:128, a:1, s:1, b:0),
% 0.77/1.64 activity [57, 1] (w:1, o:129, a:1, s:1, b:0),
% 0.77/1.64 activity_occurrence [58, 1] (w:1, o:130, a:1, s:1, b:0),
% 0.77/1.64 subactivity [66, 2] (w:1, o:169, a:1, s:1, b:0),
% 0.77/1.64 atocc [67, 2] (w:1, o:170, a:1, s:1, b:0),
% 0.77/1.64 leaf [74, 2] (w:1, o:171, a:1, s:1, b:0),
% 0.77/1.64 legal [92, 1] (w:1, o:131, a:1, s:1, b:0),
% 0.77/1.64 earlier [112, 2] (w:1, o:172, a:1, s:1, b:0),
% 0.77/1.64 precedes [115, 2] (w:1, o:173, a:1, s:1, b:0),
% 0.77/1.64 next_subocc [129, 3] (w:1, o:191, a:1, s:1, b:0),
% 0.77/1.64 tptp0 [154, 0] (w:1, o:117, a:1, s:1, b:0),
% 0.77/1.64 tptp3 [158, 0] (w:1, o:119, a:1, s:1, b:0),
% 0.77/1.64 tptp4 [159, 0] (w:1, o:120, a:1, s:1, b:0),
% 0.77/1.64 tptp1 [160, 0] (w:1, o:121, a:1, s:1, b:0),
% 0.77/1.64 tptp2 [161, 0] (w:1, o:118, a:1, s:1, b:0),
% 0.77/1.64 alpha1 [167, 2] (w:1, o:174, a:1, s:1, b:1),
% 0.77/1.64 alpha2 [168, 2] (w:1, o:177, a:1, s:1, b:1),
% 0.77/1.64 alpha3 [169, 3] (w:1, o:192, a:1, s:1, b:1),
% 0.77/1.64 alpha4 [170, 3] (w:1, o:193, a:1, s:1, b:1),
% 0.77/1.64 alpha5 [171, 3] (w:1, o:194, a:1, s:1, b:1),
% 0.77/1.64 alpha6 [172, 2] (w:1, o:178, a:1, s:1, b:1),
% 0.77/1.64 alpha7 [173, 1] (w:1, o:132, a:1, s:1, b:1),
% 0.77/1.64 alpha8 [174, 2] (w:1, o:179, a:1, s:1, b:1),
% 0.77/1.64 alpha9 [175, 1] (w:1, o:133, a:1, s:1, b:1),
% 0.77/1.64 alpha10 [176, 2] (w:1, o:175, a:1, s:1, b:1),
% 0.77/1.64 alpha11 [177, 2] (w:1, o:176, a:1, s:1, b:1),
% 0.77/1.64 alpha12 [178, 1] (w:1, o:134, a:1, s:1, b:1),
% 0.77/1.64 skol1 [179, 2] (w:1, o:180, a:1, s:1, b:1),
% 0.77/1.64 skol2 [180, 2] (w:1, o:184, a:1, s:1, b:1),
% 0.77/1.64 skol3 [181, 3] (w:1, o:195, a:1, s:1, b:1),
% 0.77/1.64 skol4 [182, 2] (w:1, o:185, a:1, s:1, b:1),
% 0.77/1.64 skol5 [183, 1] (w:1, o:135, a:1, s:1, b:1),
% 0.77/1.64 skol6 [184, 2] (w:1, o:186, a:1, s:1, b:1),
% 0.77/1.64 skol7 [185, 2] (w:1, o:187, a:1, s:1, b:1),
% 0.77/1.64 skol8 [186, 2] (w:1, o:188, a:1, s:1, b:1),
% 0.77/1.64 skol9 [187, 2] (w:1, o:189, a:1, s:1, b:1),
% 0.77/1.64 skol10 [188, 2] (w:1, o:181, a:1, s:1, b:1),
% 0.77/1.64 skol11 [189, 2] (w:1, o:182, a:1, s:1, b:1),
% 0.77/1.64 skol12 [190, 3] (w:1, o:196, a:1, s:1, b:1),
% 0.77/1.64 skol13 [191, 1] (w:1, o:136, a:1, s:1, b:1),
% 0.77/1.64 skol14 [192, 2] (w:1, o:183, a:1, s:1, b:1),
% 0.77/1.64 skol15 [193, 0] (w:1, o:116, a:1, s:1, b:1),
% 0.77/1.64 skol16 [194, 1] (w:1, o:137, a:1, s:1, b:1),
% 0.77/1.64 skol17 [195, 1] (w:1, o:138, a:1, s:1, b:1),
% 0.77/1.64 skol18 [196, 1] (w:1, o:139, a:1, s:1, b:1).
% 0.77/1.64
% 0.77/1.64
% 0.77/1.64 Starting Search:
% 0.77/1.64
% 0.77/1.64 *** allocated 15000 integers for clauses
% 0.77/1.64 *** allocated 22500 integers for clauses
% 0.77/1.64 *** allocated 15000 integers for termspace/termends
% 0.77/1.64 *** allocated 33750 integers for clauses
% 0.77/1.64 *** allocated 50625 integers for clauses
% 0.77/1.64 *** allocated 22500 integers for termspace/termends
% 0.77/1.64 Resimplifying inuse:
% 0.77/1.64 Done
% 0.77/1.64
% 0.77/1.64 *** allocated 75937 integers for clauses
% 0.77/1.64 *** allocated 33750 integers for termspace/termends
% 0.77/1.64 *** allocated 113905 integers for clauses
% 0.77/1.64 *** allocated 50625 integers for termspace/termends
% 0.77/1.64
% 0.77/1.64 Intermediate Status:
% 0.77/1.64 Generated: 6091
% 0.77/1.64 Kept: 2020
% 0.77/1.64 Inuse: 318
% 0.77/1.64 Deleted: 14
% 0.77/1.64 Deletedinuse: 6
% 0.77/1.64
% 0.77/1.64 Resimplifying inuse:
% 0.77/1.64 Done
% 0.77/1.64
% 0.77/1.64 *** allocated 170857 integers for clauses
% 0.77/1.64 Resimplifying inuse:
% 0.77/1.64 Done
% 0.77/1.64
% 0.77/1.64 *** allocated 75937 integers for termspace/termends
% 0.77/1.64
% 0.77/1.64 Bliksems!, er is een bewijs:
% 0.77/1.64 % SZS status Theorem
% 0.77/1.64 % SZS output start Refutation
% 0.77/1.64
% 0.77/1.64 (15) {G0,W10,D2,L3,V4,M3} I { ! occurrence_of( Z, Y ), ! leaf_occ( X, Z ),
% 0.77/1.64 ! min_precedes( X, T, Y ) }.
% 0.77/1.64 (72) {G0,W7,D3,L2,V1,M2} I { ! occurrence_of( X, tptp0 ), alpha10( X,
% 0.77/1.64 skol18( X ) ) }.
% 0.77/1.64 (75) {G0,W8,D3,L2,V2,M2} I { ! alpha10( X, Y ), leaf_occ( skol14( X, Y ), X
% 0.77/1.64 ) }.
% 0.77/1.64 (98) {G0,W3,D2,L1,V0,M1} I { occurrence_of( skol15, tptp0 ) }.
% 0.77/1.64 (100) {G0,W8,D2,L3,V2,M3} I { ! leaf_occ( X, skol15 ), alpha11( X, Y ),
% 0.77/1.64 alpha9( Y ) }.
% 0.77/1.64 (102) {G0,W5,D2,L2,V2,M2} I { ! alpha11( X, Y ), alpha7( Y ) }.
% 0.77/1.64 (105) {G0,W7,D3,L2,V1,M2} I { ! alpha9( X ), min_precedes( X, skol16( X ),
% 0.77/1.64 tptp0 ) }.
% 0.77/1.64 (108) {G0,W7,D3,L2,V1,M2} I { ! alpha7( X ), min_precedes( X, skol17( X ),
% 0.77/1.64 tptp0 ) }.
% 0.77/1.64 (426) {G1,W7,D2,L2,V2,M2} R(15,98) { ! leaf_occ( X, skol15 ), !
% 0.77/1.64 min_precedes( X, Y, tptp0 ) }.
% 0.77/1.64 (1744) {G1,W4,D3,L1,V0,M1} R(72,98) { alpha10( skol15, skol18( skol15 ) )
% 0.77/1.64 }.
% 0.77/1.64 (1849) {G2,W6,D4,L1,V0,M1} R(75,1744) { leaf_occ( skol14( skol15, skol18(
% 0.77/1.64 skol15 ) ), skol15 ) }.
% 0.77/1.64 (3826) {G2,W5,D2,L2,V1,M2} R(426,108) { ! leaf_occ( X, skol15 ), ! alpha7(
% 0.77/1.64 X ) }.
% 0.77/1.64 (3827) {G2,W5,D2,L2,V1,M2} R(426,105) { ! leaf_occ( X, skol15 ), ! alpha9(
% 0.77/1.64 X ) }.
% 0.77/1.64 (3840) {G3,W6,D2,L2,V2,M2} R(3826,102) { ! leaf_occ( X, skol15 ), ! alpha11
% 0.77/1.64 ( Y, X ) }.
% 0.77/1.64 (3845) {G4,W6,D2,L2,V2,M2} R(3827,100);r(3840) { ! leaf_occ( X, skol15 ), !
% 0.77/1.64 leaf_occ( Y, skol15 ) }.
% 0.77/1.64 (3849) {G5,W3,D2,L1,V1,M1} F(3845) { ! leaf_occ( X, skol15 ) }.
% 0.77/1.64 (3850) {G6,W0,D0,L0,V0,M0} R(3849,1849) { }.
% 0.77/1.64
% 0.77/1.64
% 0.77/1.64 % SZS output end Refutation
% 0.77/1.64 found a proof!
% 0.77/1.64
% 0.77/1.64
% 0.77/1.64 Unprocessed initial clauses:
% 0.77/1.64
% 0.77/1.64 (3852) {G0,W10,D3,L3,V3,M3} { ! occurrence_of( Y, X ), atomic( X ),
% 0.77/1.64 subactivity_occurrence( skol1( Z, Y ), Y ) }.
% 0.77/1.64 (3853) {G0,W10,D3,L3,V2,M3} { ! occurrence_of( Y, X ), atomic( X ), root(
% 0.77/1.64 skol1( X, Y ), X ) }.
% 0.77/1.64 (3854) {G0,W23,D2,L7,V5,M7} { ! occurrence_of( T, X ), ! root_occ( U, T )
% 0.77/1.64 , ! leaf_occ( Z, T ), ! subactivity_occurrence( Y, T ), ! min_precedes( U
% 0.77/1.64 , Y, X ), Y = Z, min_precedes( Y, Z, X ) }.
% 0.77/1.64 (3855) {G0,W18,D2,L6,V4,M6} { ! occurrence_of( T, Z ), !
% 0.77/1.64 subactivity_occurrence( X, T ), ! leaf_occ( Y, T ), ! arboreal( X ),
% 0.77/1.64 min_precedes( X, Y, Z ), Y = X }.
% 0.77/1.64 (3856) {G0,W5,D2,L2,V2,M2} { ! occurrence_of( Y, X ), activity( X ) }.
% 0.77/1.64 (3857) {G0,W5,D2,L2,V2,M2} { ! occurrence_of( Y, X ), activity_occurrence
% 0.77/1.64 ( Y ) }.
% 0.77/1.64 (3858) {G0,W24,D2,L8,V4,M8} { ! occurrence_of( T, X ), ! arboreal( Y ), !
% 0.77/1.64 arboreal( Z ), ! subactivity_occurrence( Y, T ), ! subactivity_occurrence
% 0.77/1.64 ( Z, T ), min_precedes( Y, Z, X ), min_precedes( Z, Y, X ), Y = Z }.
% 0.77/1.64 (3859) {G0,W8,D3,L2,V3,M2} { ! root( Y, X ), atocc( Y, skol2( Z, Y ) ) }.
% 0.77/1.64 (3860) {G0,W8,D3,L2,V2,M2} { ! root( Y, X ), subactivity( skol2( X, Y ), X
% 0.77/1.64 ) }.
% 0.77/1.64 (3861) {G0,W10,D3,L2,V5,M2} { ! min_precedes( Y, Z, X ),
% 0.77/1.64 subactivity_occurrence( Z, skol3( T, U, Z ) ) }.
% 0.77/1.64 (3862) {G0,W10,D3,L2,V4,M2} { ! min_precedes( Y, Z, X ),
% 0.77/1.64 subactivity_occurrence( Y, skol3( T, Y, Z ) ) }.
% 0.77/1.64 (3863) {G0,W10,D3,L2,V3,M2} { ! min_precedes( Y, Z, X ), occurrence_of(
% 0.77/1.64 skol3( X, Y, Z ), X ) }.
% 0.77/1.64 (3864) {G0,W10,D3,L3,V3,M3} { ! leaf( X, Y ), atomic( Y ), occurrence_of(
% 0.77/1.64 skol4( Z, Y ), Y ) }.
% 0.77/1.64 (3865) {G0,W10,D3,L3,V2,M3} { ! leaf( X, Y ), atomic( Y ), leaf_occ( X,
% 0.77/1.64 skol4( X, Y ) ) }.
% 0.77/1.64 (3866) {G0,W9,D2,L3,V3,M3} { ! occurrence_of( Z, X ), ! occurrence_of( Z,
% 0.77/1.64 Y ), X = Y }.
% 0.77/1.64 (3867) {G0,W10,D2,L3,V4,M3} { ! occurrence_of( Z, Y ), ! leaf_occ( X, Z )
% 0.77/1.64 , ! min_precedes( X, T, Y ) }.
% 0.77/1.64 (3868) {G0,W10,D2,L3,V4,M3} { ! occurrence_of( Z, Y ), ! root_occ( X, Z )
% 0.77/1.64 , ! min_precedes( T, X, Y ) }.
% 0.77/1.64 (3869) {G0,W5,D2,L2,V2,M2} { ! subactivity_occurrence( X, Y ),
% 0.77/1.64 activity_occurrence( X ) }.
% 0.77/1.64 (3870) {G0,W5,D2,L2,V2,M2} { ! subactivity_occurrence( X, Y ),
% 0.77/1.64 activity_occurrence( Y ) }.
% 0.77/1.64 (3871) {G0,W5,D3,L2,V2,M2} { ! activity_occurrence( X ), activity( skol5(
% 0.77/1.64 Y ) ) }.
% 0.77/1.64 (3872) {G0,W6,D3,L2,V1,M2} { ! activity_occurrence( X ), occurrence_of( X
% 0.77/1.64 , skol5( X ) ) }.
% 0.77/1.64 (3873) {G0,W4,D2,L2,V1,M2} { ! legal( X ), arboreal( X ) }.
% 0.77/1.64 (3874) {G0,W8,D3,L2,V3,M2} { ! atocc( X, Y ), subactivity( Y, skol6( Z, Y
% 0.77/1.64 ) ) }.
% 0.77/1.64 (3875) {G0,W8,D3,L2,V2,M2} { ! atocc( X, Y ), alpha1( X, skol6( X, Y ) )
% 0.77/1.64 }.
% 0.77/1.64 (3876) {G0,W9,D2,L3,V3,M3} { ! subactivity( Y, Z ), ! alpha1( X, Z ),
% 0.77/1.64 atocc( X, Y ) }.
% 0.77/1.64 (3877) {G0,W5,D2,L2,V2,M2} { ! alpha1( X, Y ), atomic( Y ) }.
% 0.77/1.64 (3878) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), occurrence_of( X, Y ) }.
% 0.77/1.64 (3879) {G0,W8,D2,L3,V2,M3} { ! atomic( Y ), ! occurrence_of( X, Y ),
% 0.77/1.64 alpha1( X, Y ) }.
% 0.77/1.64 (3880) {G0,W6,D2,L2,V2,M2} { ! leaf( X, Y ), alpha2( X, Y ) }.
% 0.77/1.64 (3881) {G0,W7,D2,L2,V3,M2} { ! leaf( X, Y ), ! min_precedes( X, Z, Y ) }.
% 0.77/1.64 (3882) {G0,W12,D3,L3,V2,M3} { ! alpha2( X, Y ), min_precedes( X, skol7( X
% 0.77/1.64 , Y ), Y ), leaf( X, Y ) }.
% 0.77/1.64 (3883) {G0,W12,D3,L3,V2,M3} { ! alpha2( X, Y ), root( X, Y ), min_precedes
% 0.77/1.64 ( skol8( X, Y ), X, Y ) }.
% 0.77/1.64 (3884) {G0,W6,D2,L2,V2,M2} { ! root( X, Y ), alpha2( X, Y ) }.
% 0.77/1.64 (3885) {G0,W7,D2,L2,V3,M2} { ! min_precedes( Z, X, Y ), alpha2( X, Y ) }.
% 0.77/1.64 (3886) {G0,W7,D2,L3,V2,M3} { ! occurrence_of( X, Y ), ! arboreal( X ),
% 0.77/1.64 atomic( Y ) }.
% 0.77/1.64 (3887) {G0,W7,D2,L3,V2,M3} { ! occurrence_of( X, Y ), ! atomic( Y ),
% 0.77/1.64 arboreal( X ) }.
% 0.77/1.64 (3888) {G0,W5,D2,L2,V2,M2} { ! root( X, Y ), legal( X ) }.
% 0.77/1.64 (3889) {G0,W8,D3,L2,V3,M2} { ! leaf_occ( X, Y ), occurrence_of( Y, skol9(
% 0.77/1.64 Z, Y ) ) }.
% 0.77/1.64 (3890) {G0,W9,D3,L2,V2,M2} { ! leaf_occ( X, Y ), alpha3( X, Y, skol9( X, Y
% 0.77/1.64 ) ) }.
% 0.77/1.64 (3891) {G0,W10,D2,L3,V3,M3} { ! occurrence_of( Y, Z ), ! alpha3( X, Y, Z )
% 0.77/1.64 , leaf_occ( X, Y ) }.
% 0.77/1.64 (3892) {G0,W7,D2,L2,V3,M2} { ! alpha3( X, Y, Z ), subactivity_occurrence(
% 0.77/1.64 X, Y ) }.
% 0.77/1.64 (3893) {G0,W7,D2,L2,V3,M2} { ! alpha3( X, Y, Z ), leaf( X, Z ) }.
% 0.77/1.64 (3894) {G0,W10,D2,L3,V3,M3} { ! subactivity_occurrence( X, Y ), ! leaf( X
% 0.77/1.64 , Z ), alpha3( X, Y, Z ) }.
% 0.77/1.64 (3895) {G0,W8,D3,L2,V3,M2} { ! root_occ( X, Y ), occurrence_of( Y, skol10
% 0.77/1.64 ( Z, Y ) ) }.
% 0.77/1.64 (3896) {G0,W9,D3,L2,V2,M2} { ! root_occ( X, Y ), alpha4( X, Y, skol10( X,
% 0.77/1.64 Y ) ) }.
% 0.77/1.64 (3897) {G0,W10,D2,L3,V3,M3} { ! occurrence_of( Y, Z ), ! alpha4( X, Y, Z )
% 0.77/1.64 , root_occ( X, Y ) }.
% 0.77/1.64 (3898) {G0,W7,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), subactivity_occurrence(
% 0.77/1.64 X, Y ) }.
% 0.77/1.64 (3899) {G0,W7,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), root( X, Z ) }.
% 0.77/1.64 (3900) {G0,W10,D2,L3,V3,M3} { ! subactivity_occurrence( X, Y ), ! root( X
% 0.77/1.64 , Z ), alpha4( X, Y, Z ) }.
% 0.77/1.64 (3901) {G0,W6,D2,L2,V2,M2} { ! earlier( X, Y ), ! earlier( Y, X ) }.
% 0.77/1.64 (3902) {G0,W6,D2,L2,V2,M2} { ! precedes( X, Y ), earlier( X, Y ) }.
% 0.77/1.64 (3903) {G0,W5,D2,L2,V2,M2} { ! precedes( X, Y ), legal( Y ) }.
% 0.77/1.64 (3904) {G0,W8,D2,L3,V2,M3} { ! earlier( X, Y ), ! legal( Y ), precedes( X
% 0.77/1.64 , Y ) }.
% 0.77/1.64 (3905) {G0,W7,D2,L2,V3,M2} { ! min_precedes( Z, X, Y ), ! root( X, Y ) }.
% 0.77/1.64 (3906) {G0,W9,D3,L2,V4,M2} { ! min_precedes( Z, X, Y ), root( skol11( T, Y
% 0.77/1.64 ), Y ) }.
% 0.77/1.64 (3907) {G0,W10,D3,L2,V3,M2} { ! min_precedes( Z, X, Y ), min_precedes(
% 0.77/1.64 skol11( X, Y ), X, Y ) }.
% 0.77/1.64 (3908) {G0,W7,D2,L2,V3,M2} { ! min_precedes( X, Y, Z ), precedes( X, Y )
% 0.77/1.64 }.
% 0.77/1.64 (3909) {G0,W6,D2,L2,V3,M2} { ! next_subocc( X, Y, Z ), arboreal( X ) }.
% 0.77/1.65 (3910) {G0,W6,D2,L2,V3,M2} { ! next_subocc( X, Y, Z ), arboreal( Y ) }.
% 0.77/1.65 (3911) {G0,W8,D2,L2,V3,M2} { ! next_subocc( X, Y, Z ), min_precedes( X, Y
% 0.77/1.65 , Z ) }.
% 0.77/1.65 (3912) {G0,W8,D2,L2,V3,M2} { ! next_subocc( X, Y, Z ), alpha5( X, Y, Z )
% 0.77/1.65 }.
% 0.77/1.65 (3913) {G0,W12,D2,L3,V3,M3} { ! min_precedes( X, Y, Z ), ! alpha5( X, Y, Z
% 0.77/1.65 ), next_subocc( X, Y, Z ) }.
% 0.77/1.65 (3914) {G0,W12,D2,L3,V4,M3} { ! alpha5( X, Y, Z ), ! min_precedes( X, T, Z
% 0.77/1.65 ), ! min_precedes( T, Y, Z ) }.
% 0.77/1.65 (3915) {G0,W11,D3,L2,V4,M2} { min_precedes( skol12( T, Y, Z ), Y, Z ),
% 0.77/1.65 alpha5( X, Y, Z ) }.
% 0.77/1.65 (3916) {G0,W11,D3,L2,V3,M2} { min_precedes( X, skol12( X, Y, Z ), Z ),
% 0.77/1.65 alpha5( X, Y, Z ) }.
% 0.77/1.65 (3917) {G0,W13,D2,L4,V4,M4} { ! min_precedes( X, Z, T ), ! occurrence_of(
% 0.77/1.65 Y, T ), ! subactivity_occurrence( Z, Y ), subactivity_occurrence( X, Y )
% 0.77/1.65 }.
% 0.77/1.65 (3918) {G0,W14,D2,L5,V4,M5} { ! occurrence_of( Z, T ), atomic( T ), !
% 0.77/1.65 leaf_occ( X, Z ), ! leaf_occ( Y, Z ), X = Y }.
% 0.77/1.65 (3919) {G0,W12,D2,L4,V4,M4} { ! occurrence_of( Z, T ), ! root_occ( X, Z )
% 0.77/1.65 , ! root_occ( Y, Z ), X = Y }.
% 0.77/1.65 (3920) {G0,W9,D2,L3,V3,M3} { ! earlier( X, Z ), ! earlier( Z, Y ), earlier
% 0.77/1.65 ( X, Y ) }.
% 0.77/1.65 (3921) {G0,W15,D2,L4,V4,M4} { ! min_precedes( T, X, Z ), ! min_precedes( T
% 0.77/1.65 , Y, Z ), ! precedes( X, Y ), min_precedes( X, Y, Z ) }.
% 0.77/1.65 (3922) {G0,W7,D3,L2,V1,M2} { ! occurrence_of( X, tptp0 ), alpha6( X,
% 0.77/1.65 skol13( X ) ) }.
% 0.77/1.65 (3923) {G0,W8,D3,L2,V1,M2} { ! occurrence_of( X, tptp0 ), alpha8( skol13(
% 0.77/1.65 X ), skol18( X ) ) }.
% 0.77/1.65 (3924) {G0,W7,D3,L2,V1,M2} { ! occurrence_of( X, tptp0 ), alpha10( X,
% 0.77/1.65 skol18( X ) ) }.
% 0.77/1.65 (3925) {G0,W7,D3,L2,V4,M2} { ! alpha10( X, Y ), alpha12( skol14( Z, T ) )
% 0.77/1.65 }.
% 0.77/1.65 (3926) {G0,W9,D3,L2,V3,M2} { ! alpha10( X, Y ), next_subocc( Y, skol14( Z
% 0.77/1.65 , Y ), tptp0 ) }.
% 0.77/1.65 (3927) {G0,W8,D3,L2,V2,M2} { ! alpha10( X, Y ), leaf_occ( skol14( X, Y ),
% 0.77/1.65 X ) }.
% 0.77/1.65 (3928) {G0,W12,D2,L4,V3,M4} { ! alpha12( Z ), ! next_subocc( Y, Z, tptp0 )
% 0.77/1.65 , ! leaf_occ( Z, X ), alpha10( X, Y ) }.
% 0.77/1.65 (3929) {G0,W8,D2,L3,V1,M3} { ! alpha12( X ), occurrence_of( X, tptp1 ),
% 0.77/1.65 occurrence_of( X, tptp2 ) }.
% 0.77/1.65 (3930) {G0,W5,D2,L2,V1,M2} { ! occurrence_of( X, tptp1 ), alpha12( X ) }.
% 0.77/1.65 (3931) {G0,W5,D2,L2,V1,M2} { ! occurrence_of( X, tptp2 ), alpha12( X ) }.
% 0.77/1.65 (3932) {G0,W6,D2,L2,V2,M2} { ! alpha8( X, Y ), occurrence_of( Y, tptp4 )
% 0.77/1.65 }.
% 0.77/1.65 (3933) {G0,W7,D2,L2,V2,M2} { ! alpha8( X, Y ), next_subocc( X, Y, tptp0 )
% 0.77/1.65 }.
% 0.77/1.65 (3934) {G0,W10,D2,L3,V2,M3} { ! occurrence_of( Y, tptp4 ), ! next_subocc(
% 0.77/1.65 X, Y, tptp0 ), alpha8( X, Y ) }.
% 0.77/1.65 (3935) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), occurrence_of( Y, tptp3 )
% 0.77/1.65 }.
% 0.77/1.65 (3936) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), root_occ( Y, X ) }.
% 0.77/1.65 (3937) {G0,W9,D2,L3,V2,M3} { ! occurrence_of( Y, tptp3 ), ! root_occ( Y, X
% 0.77/1.65 ), alpha6( X, Y ) }.
% 0.77/1.65 (3938) {G0,W2,D2,L1,V0,M1} { activity( tptp0 ) }.
% 0.77/1.65 (3939) {G0,W2,D2,L1,V0,M1} { ! atomic( tptp0 ) }.
% 0.77/1.65 (3940) {G0,W2,D2,L1,V0,M1} { atomic( tptp4 ) }.
% 0.77/1.65 (3941) {G0,W2,D2,L1,V0,M1} { atomic( tptp1 ) }.
% 0.77/1.65 (3942) {G0,W2,D2,L1,V0,M1} { atomic( tptp2 ) }.
% 0.77/1.65 (3943) {G0,W2,D2,L1,V0,M1} { atomic( tptp3 ) }.
% 0.77/1.65 (3944) {G0,W3,D2,L1,V0,M1} { ! tptp4 = tptp3 }.
% 0.77/1.65 (3945) {G0,W3,D2,L1,V0,M1} { ! tptp4 = tptp1 }.
% 0.77/1.65 (3946) {G0,W3,D2,L1,V0,M1} { ! tptp4 = tptp2 }.
% 0.77/1.65 (3947) {G0,W3,D2,L1,V0,M1} { ! tptp3 = tptp1 }.
% 0.77/1.65 (3948) {G0,W3,D2,L1,V0,M1} { ! tptp3 = tptp2 }.
% 0.77/1.65 (3949) {G0,W3,D2,L1,V0,M1} { ! tptp1 = tptp2 }.
% 0.77/1.65 (3950) {G0,W3,D2,L1,V0,M1} { occurrence_of( skol15, tptp0 ) }.
% 0.77/1.65 (3951) {G0,W9,D2,L3,V2,M3} { ! leaf_occ( X, skol15 ), alpha11( X, Y ),
% 0.77/1.65 occurrence_of( X, tptp2 ) }.
% 0.77/1.65 (3952) {G0,W8,D2,L3,V2,M3} { ! leaf_occ( X, skol15 ), alpha11( X, Y ),
% 0.77/1.65 alpha9( Y ) }.
% 0.77/1.65 (3953) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), occurrence_of( X, tptp1 )
% 0.77/1.65 }.
% 0.77/1.65 (3954) {G0,W5,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha7( Y ) }.
% 0.77/1.65 (3955) {G0,W8,D2,L3,V2,M3} { ! occurrence_of( X, tptp1 ), ! alpha7( Y ),
% 0.77/1.65 alpha11( X, Y ) }.
% 0.77/1.65 (3956) {G0,W6,D3,L2,V2,M2} { ! alpha9( X ), occurrence_of( skol16( Y ),
% 0.77/1.65 tptp1 ) }.
% 0.77/1.65 (3957) {G0,W7,D3,L2,V1,M2} { ! alpha9( X ), min_precedes( X, skol16( X ),
% 0.77/1.65 tptp0 ) }.
% 0.77/1.65 (3958) {G0,W9,D2,L3,V2,M3} { ! occurrence_of( Y, tptp1 ), ! min_precedes(
% 0.77/1.65 X, Y, tptp0 ), alpha9( X ) }.
% 0.77/1.65 (3959) {G0,W6,D3,L2,V2,M2} { ! alpha7( X ), occurrence_of( skol17( Y ),
% 0.77/1.65 tptp2 ) }.
% 0.77/1.65 (3960) {G0,W7,D3,L2,V1,M2} { ! alpha7( X ), min_precedes( X, skol17( X ),
% 0.77/1.65 tptp0 ) }.
% 0.77/1.65 (3961) {G0,W9,D2,L3,V2,M3} { ! occurrence_of( Y, tptp2 ), ! min_precedes(
% 0.77/1.65 X, Y, tptp0 ), alpha7( X ) }.
% 0.77/1.65
% 0.77/1.65
% 0.77/1.65 Total Proof:
% 0.77/1.65
% 0.77/1.65 subsumption: (15) {G0,W10,D2,L3,V4,M3} I { ! occurrence_of( Z, Y ), !
% 0.77/1.65 leaf_occ( X, Z ), ! min_precedes( X, T, Y ) }.
% 0.77/1.65 parent0: (3867) {G0,W10,D2,L3,V4,M3} { ! occurrence_of( Z, Y ), ! leaf_occ
% 0.77/1.65 ( X, Z ), ! min_precedes( X, T, Y ) }.
% 0.77/1.65 substitution0:
% 0.77/1.65 X := X
% 0.77/1.65 Y := Y
% 0.77/1.65 Z := Z
% 0.77/1.65 T := T
% 0.77/1.65 end
% 0.77/1.65 permutation0:
% 0.77/1.65 0 ==> 0
% 0.77/1.65 1 ==> 1
% 0.77/1.65 2 ==> 2
% 0.77/1.65 end
% 0.77/1.65
% 0.77/1.65 subsumption: (72) {G0,W7,D3,L2,V1,M2} I { ! occurrence_of( X, tptp0 ),
% 0.77/1.65 alpha10( X, skol18( X ) ) }.
% 0.77/1.65 parent0: (3924) {G0,W7,D3,L2,V1,M2} { ! occurrence_of( X, tptp0 ), alpha10
% 0.77/1.65 ( X, skol18( X ) ) }.
% 0.77/1.65 substitution0:
% 0.77/1.65 X := X
% 0.77/1.65 end
% 0.77/1.65 permutation0:
% 0.77/1.65 0 ==> 0
% 0.77/1.65 1 ==> 1
% 0.77/1.65 end
% 0.77/1.65
% 0.77/1.65 subsumption: (75) {G0,W8,D3,L2,V2,M2} I { ! alpha10( X, Y ), leaf_occ(
% 0.77/1.65 skol14( X, Y ), X ) }.
% 0.77/1.65 parent0: (3927) {G0,W8,D3,L2,V2,M2} { ! alpha10( X, Y ), leaf_occ( skol14
% 0.77/1.65 ( X, Y ), X ) }.
% 0.77/1.65 substitution0:
% 0.77/1.65 X := X
% 0.77/1.65 Y := Y
% 0.77/1.65 end
% 0.77/1.65 permutation0:
% 0.77/1.65 0 ==> 0
% 0.77/1.65 1 ==> 1
% 0.77/1.65 end
% 0.77/1.65
% 0.77/1.65 subsumption: (98) {G0,W3,D2,L1,V0,M1} I { occurrence_of( skol15, tptp0 )
% 0.77/1.65 }.
% 0.77/1.65 parent0: (3950) {G0,W3,D2,L1,V0,M1} { occurrence_of( skol15, tptp0 ) }.
% 0.77/1.65 substitution0:
% 0.77/1.65 end
% 0.77/1.65 permutation0:
% 0.77/1.65 0 ==> 0
% 0.77/1.65 end
% 0.77/1.65
% 0.77/1.65 subsumption: (100) {G0,W8,D2,L3,V2,M3} I { ! leaf_occ( X, skol15 ), alpha11
% 0.77/1.65 ( X, Y ), alpha9( Y ) }.
% 0.77/1.65 parent0: (3952) {G0,W8,D2,L3,V2,M3} { ! leaf_occ( X, skol15 ), alpha11( X
% 0.77/1.65 , Y ), alpha9( Y ) }.
% 0.77/1.65 substitution0:
% 0.77/1.65 X := X
% 0.77/1.65 Y := Y
% 0.77/1.65 end
% 0.77/1.65 permutation0:
% 0.77/1.65 0 ==> 0
% 0.77/1.65 1 ==> 1
% 0.77/1.65 2 ==> 2
% 0.77/1.65 end
% 0.77/1.65
% 0.77/1.65 subsumption: (102) {G0,W5,D2,L2,V2,M2} I { ! alpha11( X, Y ), alpha7( Y )
% 0.77/1.65 }.
% 0.77/1.65 parent0: (3954) {G0,W5,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha7( Y ) }.
% 0.77/1.65 substitution0:
% 0.77/1.65 X := X
% 0.77/1.65 Y := Y
% 0.77/1.65 end
% 0.77/1.65 permutation0:
% 0.77/1.65 0 ==> 0
% 0.77/1.65 1 ==> 1
% 0.77/1.65 end
% 0.77/1.65
% 0.77/1.65 subsumption: (105) {G0,W7,D3,L2,V1,M2} I { ! alpha9( X ), min_precedes( X,
% 0.77/1.65 skol16( X ), tptp0 ) }.
% 0.77/1.65 parent0: (3957) {G0,W7,D3,L2,V1,M2} { ! alpha9( X ), min_precedes( X,
% 0.77/1.65 skol16( X ), tptp0 ) }.
% 0.77/1.65 substitution0:
% 0.77/1.65 X := X
% 0.77/1.65 end
% 0.77/1.65 permutation0:
% 0.77/1.65 0 ==> 0
% 0.77/1.65 1 ==> 1
% 0.77/1.65 end
% 0.77/1.65
% 0.77/1.65 subsumption: (108) {G0,W7,D3,L2,V1,M2} I { ! alpha7( X ), min_precedes( X,
% 0.77/1.65 skol17( X ), tptp0 ) }.
% 0.77/1.65 parent0: (3960) {G0,W7,D3,L2,V1,M2} { ! alpha7( X ), min_precedes( X,
% 0.77/1.65 skol17( X ), tptp0 ) }.
% 0.77/1.65 substitution0:
% 0.77/1.65 X := X
% 0.77/1.65 end
% 0.77/1.65 permutation0:
% 0.77/1.65 0 ==> 0
% 0.77/1.65 1 ==> 1
% 0.77/1.65 end
% 0.77/1.65
% 0.77/1.65 resolution: (4106) {G1,W7,D2,L2,V2,M2} { ! leaf_occ( X, skol15 ), !
% 0.77/1.65 min_precedes( X, Y, tptp0 ) }.
% 0.77/1.65 parent0[0]: (15) {G0,W10,D2,L3,V4,M3} I { ! occurrence_of( Z, Y ), !
% 0.77/1.65 leaf_occ( X, Z ), ! min_precedes( X, T, Y ) }.
% 0.77/1.65 parent1[0]: (98) {G0,W3,D2,L1,V0,M1} I { occurrence_of( skol15, tptp0 ) }.
% 0.77/1.65 substitution0:
% 0.77/1.65 X := X
% 0.77/1.65 Y := tptp0
% 0.77/1.65 Z := skol15
% 0.77/1.65 T := Y
% 0.77/1.65 end
% 0.77/1.65 substitution1:
% 0.77/1.65 end
% 0.77/1.65
% 0.77/1.65 subsumption: (426) {G1,W7,D2,L2,V2,M2} R(15,98) { ! leaf_occ( X, skol15 ),
% 0.77/1.65 ! min_precedes( X, Y, tptp0 ) }.
% 0.77/1.65 parent0: (4106) {G1,W7,D2,L2,V2,M2} { ! leaf_occ( X, skol15 ), !
% 0.77/1.65 min_precedes( X, Y, tptp0 ) }.
% 0.77/1.65 substitution0:
% 0.77/1.65 X := X
% 0.77/1.65 Y := Y
% 0.77/1.65 end
% 0.77/1.65 permutation0:
% 0.77/1.65 0 ==> 0
% 0.77/1.65 1 ==> 1
% 0.77/1.65 end
% 0.77/1.65
% 0.77/1.65 resolution: (4107) {G1,W4,D3,L1,V0,M1} { alpha10( skol15, skol18( skol15 )
% 0.77/1.65 ) }.
% 0.77/1.65 parent0[0]: (72) {G0,W7,D3,L2,V1,M2} I { ! occurrence_of( X, tptp0 ),
% 0.77/1.65 alpha10( X, skol18( X ) ) }.
% 0.77/1.65 parent1[0]: (98) {G0,W3,D2,L1,V0,M1} I { occurrence_of( skol15, tptp0 ) }.
% 0.77/1.65 substitution0:
% 0.77/1.65 X := skol15
% 0.77/1.65 end
% 0.77/1.65 substitution1:
% 0.77/1.65 end
% 0.77/1.65
% 0.77/1.65 subsumption: (1744) {G1,W4,D3,L1,V0,M1} R(72,98) { alpha10( skol15, skol18
% 0.77/1.65 ( skol15 ) ) }.
% 0.77/1.65 parent0: (4107) {G1,W4,D3,L1,V0,M1} { alpha10( skol15, skol18( skol15 ) )
% 0.77/1.65 }.
% 0.77/1.65 substitution0:
% 0.77/1.65 end
% 0.77/1.65 permutation0:
% 0.77/1.65 0 ==> 0
% 0.77/1.65 end
% 0.77/1.65
% 0.77/1.65 resolution: (4108) {G1,W6,D4,L1,V0,M1} { leaf_occ( skol14( skol15, skol18
% 0.77/1.65 ( skol15 ) ), skol15 ) }.
% 0.77/1.65 parent0[0]: (75) {G0,W8,D3,L2,V2,M2} I { ! alpha10( X, Y ), leaf_occ(
% 0.77/1.65 skol14( X, Y ), X ) }.
% 0.77/1.65 parent1[0]: (1744) {G1,W4,D3,L1,V0,M1} R(72,98) { alpha10( skol15, skol18(
% 0.77/1.65 skol15 ) ) }.
% 0.77/1.65 substitution0:
% 0.77/1.65 X := skol15
% 0.77/1.65 Y := skol18( skol15 )
% 0.77/1.65 end
% 0.77/1.65 substitution1:
% 0.77/1.65 end
% 0.77/1.65
% 0.77/1.65 subsumption: (1849) {G2,W6,D4,L1,V0,M1} R(75,1744) { leaf_occ( skol14(
% 0.77/1.65 skol15, skol18( skol15 ) ), skol15 ) }.
% 0.77/1.65 parent0: (4108) {G1,W6,D4,L1,V0,M1} { leaf_occ( skol14( skol15, skol18(
% 0.77/1.65 skol15 ) ), skol15 ) }.
% 0.77/1.65 substitution0:
% 0.77/1.65 end
% 0.77/1.65 permutation0:
% 0.77/1.65 0 ==> 0
% 0.77/1.65 end
% 0.77/1.65
% 0.77/1.65 resolution: (4109) {G1,W5,D2,L2,V1,M2} { ! leaf_occ( X, skol15 ), ! alpha7
% 0.77/1.65 ( X ) }.
% 0.77/1.65 parent0[1]: (426) {G1,W7,D2,L2,V2,M2} R(15,98) { ! leaf_occ( X, skol15 ), !
% 0.77/1.65 min_precedes( X, Y, tptp0 ) }.
% 0.77/1.65 parent1[1]: (108) {G0,W7,D3,L2,V1,M2} I { ! alpha7( X ), min_precedes( X,
% 0.77/1.65 skol17( X ), tptp0 ) }.
% 0.77/1.65 substitution0:
% 0.77/1.65 X := X
% 0.77/1.65 Y := skol17( X )
% 0.77/1.65 end
% 0.77/1.65 substitution1:
% 0.77/1.65 X := X
% 0.77/1.65 end
% 0.77/1.65
% 0.77/1.65 subsumption: (3826) {G2,W5,D2,L2,V1,M2} R(426,108) { ! leaf_occ( X, skol15
% 0.77/1.65 ), ! alpha7( X ) }.
% 0.77/1.65 parent0: (4109) {G1,W5,D2,L2,V1,M2} { ! leaf_occ( X, skol15 ), ! alpha7( X
% 0.77/1.65 ) }.
% 0.77/1.65 substitution0:
% 0.77/1.65 X := X
% 0.77/1.65 end
% 0.77/1.65 permutation0:
% 0.77/1.65 0 ==> 0
% 0.77/1.65 1 ==> 1
% 0.77/1.65 end
% 0.77/1.65
% 0.77/1.65 resolution: (4110) {G1,W5,D2,L2,V1,M2} { ! leaf_occ( X, skol15 ), ! alpha9
% 0.77/1.65 ( X ) }.
% 0.77/1.65 parent0[1]: (426) {G1,W7,D2,L2,V2,M2} R(15,98) { ! leaf_occ( X, skol15 ), !
% 0.77/1.65 min_precedes( X, Y, tptp0 ) }.
% 0.77/1.65 parent1[1]: (105) {G0,W7,D3,L2,V1,M2} I { ! alpha9( X ), min_precedes( X,
% 0.77/1.65 skol16( X ), tptp0 ) }.
% 0.77/1.65 substitution0:
% 0.77/1.65 X := X
% 0.77/1.65 Y := skol16( X )
% 0.77/1.65 end
% 0.77/1.65 substitution1:
% 0.77/1.65 X := X
% 0.77/1.65 end
% 0.77/1.65
% 0.77/1.65 subsumption: (3827) {G2,W5,D2,L2,V1,M2} R(426,105) { ! leaf_occ( X, skol15
% 0.77/1.65 ), ! alpha9( X ) }.
% 0.77/1.65 parent0: (4110) {G1,W5,D2,L2,V1,M2} { ! leaf_occ( X, skol15 ), ! alpha9( X
% 0.77/1.65 ) }.
% 0.77/1.65 substitution0:
% 0.77/1.65 X := X
% 0.77/1.65 end
% 0.77/1.65 permutation0:
% 0.77/1.65 0 ==> 0
% 0.77/1.65 1 ==> 1
% 0.77/1.65 end
% 0.77/1.65
% 0.77/1.65 resolution: (4111) {G1,W6,D2,L2,V2,M2} { ! leaf_occ( X, skol15 ), !
% 0.77/1.65 alpha11( Y, X ) }.
% 0.77/1.65 parent0[1]: (3826) {G2,W5,D2,L2,V1,M2} R(426,108) { ! leaf_occ( X, skol15 )
% 0.77/1.65 , ! alpha7( X ) }.
% 0.77/1.65 parent1[1]: (102) {G0,W5,D2,L2,V2,M2} I { ! alpha11( X, Y ), alpha7( Y )
% 0.77/1.65 }.
% 0.77/1.65 substitution0:
% 0.77/1.65 X := X
% 0.77/1.65 end
% 0.77/1.65 substitution1:
% 0.77/1.65 X := Y
% 0.77/1.65 Y := X
% 0.77/1.65 end
% 0.77/1.65
% 0.77/1.65 subsumption: (3840) {G3,W6,D2,L2,V2,M2} R(3826,102) { ! leaf_occ( X, skol15
% 0.77/1.65 ), ! alpha11( Y, X ) }.
% 0.77/1.65 parent0: (4111) {G1,W6,D2,L2,V2,M2} { ! leaf_occ( X, skol15 ), ! alpha11(
% 0.77/1.65 Y, X ) }.
% 0.77/1.65 substitution0:
% 0.77/1.65 X := X
% 0.77/1.65 Y := Y
% 0.77/1.65 end
% 0.77/1.65 permutation0:
% 0.77/1.65 0 ==> 0
% 0.77/1.65 1 ==> 1
% 0.77/1.65 end
% 0.77/1.65
% 0.77/1.65 resolution: (4112) {G1,W9,D2,L3,V2,M3} { ! leaf_occ( X, skol15 ), !
% 0.77/1.65 leaf_occ( Y, skol15 ), alpha11( Y, X ) }.
% 0.77/1.65 parent0[1]: (3827) {G2,W5,D2,L2,V1,M2} R(426,105) { ! leaf_occ( X, skol15 )
% 0.77/1.65 , ! alpha9( X ) }.
% 0.77/1.65 parent1[2]: (100) {G0,W8,D2,L3,V2,M3} I { ! leaf_occ( X, skol15 ), alpha11
% 0.77/1.65 ( X, Y ), alpha9( Y ) }.
% 0.77/1.65 substitution0:
% 0.77/1.65 X := X
% 0.77/1.65 end
% 0.77/1.65 substitution1:
% 0.77/1.65 X := Y
% 0.77/1.65 Y := X
% 0.77/1.65 end
% 0.77/1.65
% 0.77/1.65 factor: (4113) {G1,W6,D2,L2,V1,M2} { ! leaf_occ( X, skol15 ), alpha11( X,
% 0.77/1.65 X ) }.
% 0.77/1.65 parent0[0, 1]: (4112) {G1,W9,D2,L3,V2,M3} { ! leaf_occ( X, skol15 ), !
% 0.77/1.65 leaf_occ( Y, skol15 ), alpha11( Y, X ) }.
% 0.77/1.65 substitution0:
% 0.77/1.65 X := X
% 0.77/1.65 Y := X
% 0.77/1.65 end
% 0.77/1.65
% 0.77/1.65 resolution: (4114) {G2,W6,D2,L2,V1,M2} { ! leaf_occ( X, skol15 ), !
% 0.77/1.65 leaf_occ( X, skol15 ) }.
% 0.77/1.65 parent0[1]: (3840) {G3,W6,D2,L2,V2,M2} R(3826,102) { ! leaf_occ( X, skol15
% 0.77/1.65 ), ! alpha11( Y, X ) }.
% 0.77/1.65 parent1[1]: (4113) {G1,W6,D2,L2,V1,M2} { ! leaf_occ( X, skol15 ), alpha11
% 0.77/1.65 ( X, X ) }.
% 0.77/1.65 substitution0:
% 0.77/1.65 X := X
% 0.77/1.65 Y := X
% 0.77/1.65 end
% 0.77/1.65 substitution1:
% 0.77/1.65 X := X
% 0.77/1.65 end
% 0.77/1.65
% 0.77/1.65 subsumption: (3845) {G4,W6,D2,L2,V2,M2} R(3827,100);r(3840) { ! leaf_occ( X
% 0.77/1.65 , skol15 ), ! leaf_occ( Y, skol15 ) }.
% 0.77/1.65 parent0: (4114) {G2,W6,D2,L2,V1,M2} { ! leaf_occ( X, skol15 ), ! leaf_occ
% 0.77/1.65 ( X, skol15 ) }.
% 0.77/1.65 substitution0:
% 0.77/1.65 X := X
% 0.77/1.65 end
% 0.77/1.65 permutation0:
% 0.77/1.65 0 ==> 0
% 0.77/1.65 1 ==> 0
% 0.77/1.65 end
% 0.77/1.65
% 0.77/1.65 factor: (4116) {G4,W3,D2,L1,V1,M1} { ! leaf_occ( X, skol15 ) }.
% 0.77/1.65 parent0[0, 1]: (3845) {G4,W6,D2,L2,V2,M2} R(3827,100);r(3840) { ! leaf_occ
% 0.77/1.65 ( X, skol15 ), ! leaf_occ( Y, skol15 ) }.
% 0.77/1.65 substitution0:
% 0.77/1.65 X := X
% 0.77/1.65 Y := X
% 0.77/1.65 end
% 0.77/1.65
% 0.77/1.65 subsumption: (3849) {G5,W3,D2,L1,V1,M1} F(3845) { ! leaf_occ( X, skol15 )
% 0.77/1.65 }.
% 0.77/1.65 parent0: (4116) {G4,W3,D2,L1,V1,M1} { ! leaf_occ( X, skol15 ) }.
% 0.77/1.65 substitution0:
% 0.77/1.65 X := X
% 0.77/1.65 end
% 0.77/1.65 permutation0:
% 0.77/1.65 0 ==> 0
% 0.77/1.65 end
% 0.77/1.65
% 0.77/1.65 resolution: (4117) {G3,W0,D0,L0,V0,M0} { }.
% 0.77/1.65 parent0[0]: (3849) {G5,W3,D2,L1,V1,M1} F(3845) { ! leaf_occ( X, skol15 )
% 0.77/1.65 }.
% 0.77/1.65 parent1[0]: (1849) {G2,W6,D4,L1,V0,M1} R(75,1744) { leaf_occ( skol14(
% 0.77/1.65 skol15, skol18( skol15 ) ), skol15 ) }.
% 0.77/1.65 substitution0:
% 0.77/1.65 X := skol14( skol15, skol18( skol15 ) )
% 0.77/1.65 end
% 0.77/1.65 substitution1:
% 0.77/1.65 end
% 0.77/1.65
% 0.77/1.65 subsumption: (3850) {G6,W0,D0,L0,V0,M0} R(3849,1849) { }.
% 0.77/1.65 parent0: (4117) {G3,W0,D0,L0,V0,M0} { }.
% 0.77/1.65 substitution0:
% 0.77/1.65 end
% 0.77/1.65 permutation0:
% 0.77/1.65 end
% 0.77/1.65
% 0.77/1.65 Proof check complete!
% 0.77/1.65
% 0.77/1.65 Memory use:
% 0.77/1.65
% 0.77/1.65 space for terms: 58511
% 0.77/1.65 space for clauses: 164777
% 0.77/1.65
% 0.77/1.65
% 0.77/1.65 clauses generated: 35576
% 0.77/1.65 clauses kept: 3851
% 0.77/1.65 clauses selected: 709
% 0.77/1.65 clauses deleted: 116
% 0.77/1.65 clauses inuse deleted: 70
% 0.77/1.65
% 0.77/1.65 subsentry: 19381
% 0.77/1.65 literals s-matched: 12990
% 0.77/1.65 literals matched: 12935
% 0.77/1.65 full subsumption: 3971
% 0.77/1.65
% 0.77/1.65 checksum: 968874274
% 0.77/1.65
% 0.77/1.65
% 0.77/1.65 Bliksem ended
%------------------------------------------------------------------------------