TSTP Solution File: SYN723+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN723+1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n027.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 : 300s
% DateTime : Sun May 5 12:12:03 EDT 2024
% Result : Theorem 0.15s 0.45s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 106
% Syntax : Number of formulae : 398 ( 1 unt; 0 def)
% Number of atoms : 1538 ( 0 equ)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 1843 ( 703 ~; 813 |; 147 &)
% ( 140 <=>; 38 =>; 0 <=; 2 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 72 ( 71 usr; 68 prp; 0-1 aty)
% Number of functors : 38 ( 38 usr; 33 con; 0-1 aty)
% Number of variables : 417 ( 263 !; 154 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f539,plain,
$false,
inference(avatar_sat_refutation,[],[f149,f150,f151,f152,f153,f154,f155,f156,f164,f172,f181,f182,f190,f194,f202,f203,f208,f209,f213,f217,f226,f234,f243,f244,f249,f254,f263,f264,f276,f284,f293,f294,f303,f304,f309,f314,f326,f334,f343,f344,f349,f354,f363,f364,f368,f372,f377,f378,f382,f386,f391,f392,f396,f400,f405,f406,f408,f410,f413,f415,f417,f419,f422,f424,f426,f428,f430,f433,f434,f436,f440,f442,f444,f447,f451,f452,f453,f458,f460,f462,f471,f475,f477,f479,f484,f485,f488,f490,f494,f496,f499,f508,f513,f522,f524,f528,f530,f532,f535,f536,f538]) ).
fof(f538,plain,
( ~ spl46_14
| ~ spl46_24 ),
inference(avatar_contradiction_clause,[],[f537]) ).
fof(f537,plain,
( $false
| ~ spl46_14
| ~ spl46_24 ),
inference(subsumption_resolution,[],[f242,f197]) ).
fof(f197,plain,
( ! [X3] : ~ r(X3)
| ~ spl46_14 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f196,plain,
( spl46_14
<=> ! [X3] : ~ r(X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_14])]) ).
fof(f242,plain,
( r(sK18)
| ~ spl46_24 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f240,plain,
( spl46_24
<=> r(sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_24])]) ).
fof(f536,plain,
( ~ spl46_22
| spl46_23 ),
inference(avatar_contradiction_clause,[],[f533]) ).
fof(f533,plain,
( $false
| ~ spl46_22
| spl46_23 ),
inference(resolution,[],[f233,f238]) ).
fof(f238,plain,
( ~ s(sK19)
| spl46_23 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f236,plain,
( spl46_23
<=> s(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_23])]) ).
fof(f233,plain,
( ! [X2] : s(X2)
| ~ spl46_22 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f232,plain,
( spl46_22
<=> ! [X2] : s(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_22])]) ).
fof(f535,plain,
( ~ spl46_22
| spl46_25 ),
inference(avatar_contradiction_clause,[],[f534]) ).
fof(f534,plain,
( $false
| ~ spl46_22
| spl46_25 ),
inference(resolution,[],[f233,f248]) ).
fof(f248,plain,
( ~ s(sK20)
| spl46_25 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f246,plain,
( spl46_25
<=> s(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_25])]) ).
fof(f532,plain,
( spl46_30
| ~ spl46_33 ),
inference(avatar_contradiction_clause,[],[f531]) ).
fof(f531,plain,
( $false
| spl46_30
| ~ spl46_33 ),
inference(subsumption_resolution,[],[f271,f283]) ).
fof(f283,plain,
( ! [X2] : p(X2)
| ~ spl46_33 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f282,plain,
( spl46_33
<=> ! [X2] : p(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_33])]) ).
fof(f271,plain,
( ~ p(sK24)
| spl46_30 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f269,plain,
( spl46_30
<=> p(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_30])]) ).
fof(f530,plain,
( ~ spl46_29
| ~ spl46_35 ),
inference(avatar_contradiction_clause,[],[f529]) ).
fof(f529,plain,
( $false
| ~ spl46_29
| ~ spl46_35 ),
inference(subsumption_resolution,[],[f292,f267]) ).
fof(f267,plain,
( ! [X1] : ~ s(X1)
| ~ spl46_29 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f266,plain,
( spl46_29
<=> ! [X1] : ~ s(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_29])]) ).
fof(f292,plain,
( s(sK26)
| ~ spl46_35 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f290,plain,
( spl46_35
<=> s(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_35])]) ).
fof(f528,plain,
( ~ spl46_33
| spl46_34 ),
inference(avatar_contradiction_clause,[],[f527]) ).
fof(f527,plain,
( $false
| ~ spl46_33
| spl46_34 ),
inference(subsumption_resolution,[],[f288,f283]) ).
fof(f288,plain,
( ~ p(sK27)
| spl46_34 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f286,plain,
( spl46_34
<=> p(sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_34])]) ).
fof(f524,plain,
( ~ spl46_29
| ~ spl46_32 ),
inference(avatar_contradiction_clause,[],[f523]) ).
fof(f523,plain,
( $false
| ~ spl46_29
| ~ spl46_32 ),
inference(subsumption_resolution,[],[f280,f267]) ).
fof(f280,plain,
( s(sK25)
| ~ spl46_32 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f278,plain,
( spl46_32
<=> s(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_32])]) ).
fof(f522,plain,
( ~ spl46_8
| ~ spl46_17 ),
inference(avatar_contradiction_clause,[],[f521]) ).
fof(f521,plain,
( $false
| ~ spl46_8
| ~ spl46_17 ),
inference(subsumption_resolution,[],[f520,f171]) ).
fof(f171,plain,
( ! [X2] : r(X2)
| ~ spl46_8 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f170,plain,
( spl46_8
<=> ! [X2] : r(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_8])]) ).
fof(f520,plain,
( ! [X6] : ~ r(X6)
| ~ spl46_8
| ~ spl46_17 ),
inference(subsumption_resolution,[],[f212,f171]) ).
fof(f212,plain,
( ! [X6] :
( ~ r(sK15(X6))
| ~ r(X6) )
| ~ spl46_17 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f211,plain,
( spl46_17
<=> ! [X6] :
( ~ r(sK15(X6))
| ~ r(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_17])]) ).
fof(f513,plain,
( ~ spl46_14
| ~ spl46_18 ),
inference(avatar_contradiction_clause,[],[f512]) ).
fof(f512,plain,
( $false
| ~ spl46_14
| ~ spl46_18 ),
inference(subsumption_resolution,[],[f511,f197]) ).
fof(f511,plain,
( ! [X6] : r(X6)
| ~ spl46_14
| ~ spl46_18 ),
inference(subsumption_resolution,[],[f216,f197]) ).
fof(f216,plain,
( ! [X6] :
( r(sK15(X6))
| r(X6) )
| ~ spl46_18 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f215,plain,
( spl46_18
<=> ! [X6] :
( r(sK15(X6))
| r(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_18])]) ).
fof(f508,plain,
( ~ spl46_5
| ~ spl46_55 ),
inference(avatar_contradiction_clause,[],[f507]) ).
fof(f507,plain,
( $false
| ~ spl46_5
| ~ spl46_55 ),
inference(subsumption_resolution,[],[f506,f159]) ).
fof(f159,plain,
( ! [X1] : ~ q(X1)
| ~ spl46_5 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f158,plain,
( spl46_5
<=> ! [X1] : ~ q(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_5])]) ).
fof(f506,plain,
( ! [X0] : q(X0)
| ~ spl46_5
| ~ spl46_55 ),
inference(subsumption_resolution,[],[f385,f159]) ).
fof(f385,plain,
( ! [X0] :
( q(sK42(X0))
| q(X0) )
| ~ spl46_55 ),
inference(avatar_component_clause,[],[f384]) ).
fof(f384,plain,
( spl46_55
<=> ! [X0] :
( q(sK42(X0))
| q(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_55])]) ).
fof(f499,plain,
( ~ spl46_41
| ~ spl46_50 ),
inference(avatar_contradiction_clause,[],[f498]) ).
fof(f498,plain,
( $false
| ~ spl46_41
| ~ spl46_50 ),
inference(resolution,[],[f321,f362]) ).
fof(f362,plain,
( p(sK38)
| ~ spl46_50 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f360,plain,
( spl46_50
<=> p(sK38) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_50])]) ).
fof(f321,plain,
( ! [X1] : ~ p(X1)
| ~ spl46_41 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f320,plain,
( spl46_41
<=> ! [X1] : ~ p(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_41])]) ).
fof(f496,plain,
( spl46_42
| ~ spl46_44 ),
inference(avatar_contradiction_clause,[],[f495]) ).
fof(f495,plain,
( $false
| spl46_42
| ~ spl46_44 ),
inference(subsumption_resolution,[],[f325,f333]) ).
fof(f333,plain,
( ! [X2] : q(X2)
| ~ spl46_44 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f332,plain,
( spl46_44
<=> ! [X2] : q(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_44])]) ).
fof(f325,plain,
( ~ q(sK32)
| spl46_42 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f323,plain,
( spl46_42
<=> q(sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_42])]) ).
fof(f494,plain,
( ~ spl46_13
| ~ spl46_14 ),
inference(avatar_contradiction_clause,[],[f493]) ).
fof(f493,plain,
( $false
| ~ spl46_13
| ~ spl46_14 ),
inference(subsumption_resolution,[],[f492,f197]) ).
fof(f492,plain,
( ! [X0] : r(X0)
| ~ spl46_13
| ~ spl46_14 ),
inference(subsumption_resolution,[],[f193,f197]) ).
fof(f193,plain,
( ! [X0] :
( r(sK12(X0))
| r(X0) )
| ~ spl46_13 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f192,plain,
( spl46_13
<=> ! [X0] :
( r(sK12(X0))
| r(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_13])]) ).
fof(f490,plain,
( ~ spl46_29
| ~ spl46_37 ),
inference(avatar_contradiction_clause,[],[f489]) ).
fof(f489,plain,
( $false
| ~ spl46_29
| ~ spl46_37 ),
inference(subsumption_resolution,[],[f302,f267]) ).
fof(f302,plain,
( s(sK28)
| ~ spl46_37 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f300,plain,
( spl46_37
<=> s(sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_37])]) ).
fof(f488,plain,
( ~ spl46_29
| ~ spl46_52 ),
inference(avatar_contradiction_clause,[],[f487]) ).
fof(f487,plain,
( $false
| ~ spl46_29
| ~ spl46_52 ),
inference(subsumption_resolution,[],[f482,f267]) ).
fof(f482,plain,
( ! [X0] : s(X0)
| ~ spl46_29
| ~ spl46_52 ),
inference(resolution,[],[f267,f371]) ).
fof(f371,plain,
( ! [X0] :
( s(sK40(X0))
| s(X0) )
| ~ spl46_52 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f370,plain,
( spl46_52
<=> ! [X0] :
( s(sK40(X0))
| s(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_52])]) ).
fof(f485,plain,
( ~ spl46_29
| ~ spl46_39 ),
inference(avatar_contradiction_clause,[],[f481]) ).
fof(f481,plain,
( $false
| ~ spl46_29
| ~ spl46_39 ),
inference(resolution,[],[f267,f313]) ).
fof(f313,plain,
( s(sK31)
| ~ spl46_39 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f311,plain,
( spl46_39
<=> s(sK31) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_39])]) ).
fof(f484,plain,
( ~ spl46_29
| ~ spl46_53 ),
inference(avatar_contradiction_clause,[],[f483]) ).
fof(f483,plain,
( $false
| ~ spl46_29
| ~ spl46_53 ),
inference(resolution,[],[f267,f376]) ).
fof(f376,plain,
( s(sK41)
| ~ spl46_53 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f374,plain,
( spl46_53
<=> s(sK41) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_53])]) ).
fof(f479,plain,
( ~ spl46_14
| ~ spl46_28 ),
inference(avatar_contradiction_clause,[],[f478]) ).
fof(f478,plain,
( $false
| ~ spl46_14
| ~ spl46_28 ),
inference(subsumption_resolution,[],[f262,f197]) ).
fof(f262,plain,
( r(sK22)
| ~ spl46_28 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f260,plain,
( spl46_28
<=> r(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_28])]) ).
fof(f477,plain,
( ~ spl46_14
| ~ spl46_26 ),
inference(avatar_contradiction_clause,[],[f476]) ).
fof(f476,plain,
( $false
| ~ spl46_14
| ~ spl46_26 ),
inference(subsumption_resolution,[],[f253,f197]) ).
fof(f253,plain,
( r(sK21)
| ~ spl46_26 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f251,plain,
( spl46_26
<=> r(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_26])]) ).
fof(f475,plain,
( ~ spl46_14
| ~ spl46_21 ),
inference(avatar_contradiction_clause,[],[f474]) ).
fof(f474,plain,
( $false
| ~ spl46_14
| ~ spl46_21 ),
inference(subsumption_resolution,[],[f230,f197]) ).
fof(f230,plain,
( r(sK17)
| ~ spl46_21 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f228,plain,
( spl46_21
<=> r(sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_21])]) ).
fof(f471,plain,
( ~ spl46_33
| ~ spl46_57 ),
inference(avatar_contradiction_clause,[],[f470]) ).
fof(f470,plain,
( $false
| ~ spl46_33
| ~ spl46_57 ),
inference(subsumption_resolution,[],[f468,f283]) ).
fof(f468,plain,
( ! [X0] : ~ p(X0)
| ~ spl46_33
| ~ spl46_57 ),
inference(resolution,[],[f283,f395]) ).
fof(f395,plain,
( ! [X0] :
( ~ p(sK44(X0))
| ~ p(X0) )
| ~ spl46_57 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f394,plain,
( spl46_57
<=> ! [X0] :
( ~ p(sK44(X0))
| ~ p(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_57])]) ).
fof(f462,plain,
( ~ spl46_41
| ~ spl46_46 ),
inference(avatar_contradiction_clause,[],[f461]) ).
fof(f461,plain,
( $false
| ~ spl46_41
| ~ spl46_46 ),
inference(resolution,[],[f321,f342]) ).
fof(f342,plain,
( p(sK34)
| ~ spl46_46 ),
inference(avatar_component_clause,[],[f340]) ).
fof(f340,plain,
( spl46_46
<=> p(sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_46])]) ).
fof(f460,plain,
( ~ spl46_5
| ~ spl46_10 ),
inference(avatar_contradiction_clause,[],[f459]) ).
fof(f459,plain,
( $false
| ~ spl46_5
| ~ spl46_10 ),
inference(resolution,[],[f159,f180]) ).
fof(f180,plain,
( q(sK10)
| ~ spl46_10 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f178,plain,
( spl46_10
<=> q(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_10])]) ).
fof(f458,plain,
( ~ spl46_44
| ~ spl46_54 ),
inference(avatar_contradiction_clause,[],[f457]) ).
fof(f457,plain,
( $false
| ~ spl46_44
| ~ spl46_54 ),
inference(subsumption_resolution,[],[f456,f333]) ).
fof(f456,plain,
( ! [X0] : ~ q(X0)
| ~ spl46_44
| ~ spl46_54 ),
inference(subsumption_resolution,[],[f381,f333]) ).
fof(f381,plain,
( ! [X0] :
( ~ q(sK42(X0))
| ~ q(X0) )
| ~ spl46_54 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f380,plain,
( spl46_54
<=> ! [X0] :
( ~ q(sK42(X0))
| ~ q(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_54])]) ).
fof(f453,plain,
( ~ spl46_44
| spl46_47 ),
inference(avatar_contradiction_clause,[],[f448]) ).
fof(f448,plain,
( $false
| ~ spl46_44
| spl46_47 ),
inference(resolution,[],[f333,f348]) ).
fof(f348,plain,
( ~ q(sK36)
| spl46_47 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f346,plain,
( spl46_47
<=> q(sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_47])]) ).
fof(f452,plain,
( ~ spl46_44
| spl46_49 ),
inference(avatar_contradiction_clause,[],[f449]) ).
fof(f449,plain,
( $false
| ~ spl46_44
| spl46_49 ),
inference(resolution,[],[f333,f358]) ).
fof(f358,plain,
( ~ q(sK39)
| spl46_49 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f356,plain,
( spl46_49
<=> q(sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_49])]) ).
fof(f451,plain,
( ~ spl46_44
| spl46_56 ),
inference(avatar_contradiction_clause,[],[f450]) ).
fof(f450,plain,
( $false
| ~ spl46_44
| spl46_56 ),
inference(resolution,[],[f333,f389]) ).
fof(f389,plain,
( ~ q(sK43)
| spl46_56 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f388,plain,
( spl46_56
<=> q(sK43) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_56])]) ).
fof(f447,plain,
( ~ spl46_41
| ~ spl46_58 ),
inference(avatar_contradiction_clause,[],[f446]) ).
fof(f446,plain,
( $false
| ~ spl46_41
| ~ spl46_58 ),
inference(subsumption_resolution,[],[f445,f321]) ).
fof(f445,plain,
( ! [X0] : p(X0)
| ~ spl46_41
| ~ spl46_58 ),
inference(subsumption_resolution,[],[f399,f321]) ).
fof(f399,plain,
( ! [X0] :
( p(sK44(X0))
| p(X0) )
| ~ spl46_58 ),
inference(avatar_component_clause,[],[f398]) ).
fof(f398,plain,
( spl46_58
<=> ! [X0] :
( p(sK44(X0))
| p(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_58])]) ).
fof(f444,plain,
( ~ spl46_41
| ~ spl46_48 ),
inference(avatar_contradiction_clause,[],[f443]) ).
fof(f443,plain,
( $false
| ~ spl46_41
| ~ spl46_48 ),
inference(subsumption_resolution,[],[f353,f321]) ).
fof(f353,plain,
( p(sK37)
| ~ spl46_48 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f351,plain,
( spl46_48
<=> p(sK37) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_48])]) ).
fof(f442,plain,
( ~ spl46_41
| ~ spl46_59 ),
inference(avatar_contradiction_clause,[],[f441]) ).
fof(f441,plain,
( $false
| ~ spl46_41
| ~ spl46_59 ),
inference(resolution,[],[f321,f404]) ).
fof(f404,plain,
( p(sK45)
| ~ spl46_59 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f402,plain,
( spl46_59
<=> p(sK45) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_59])]) ).
fof(f440,plain,
( ~ spl46_44
| spl46_45 ),
inference(avatar_contradiction_clause,[],[f439]) ).
fof(f439,plain,
( $false
| ~ spl46_44
| spl46_45 ),
inference(subsumption_resolution,[],[f338,f333]) ).
fof(f338,plain,
( ~ q(sK35)
| spl46_45 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f336,plain,
( spl46_45
<=> q(sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_45])]) ).
fof(f436,plain,
( ~ spl46_8
| spl46_9 ),
inference(avatar_contradiction_clause,[],[f435]) ).
fof(f435,plain,
( $false
| ~ spl46_8
| spl46_9 ),
inference(subsumption_resolution,[],[f176,f171]) ).
fof(f176,plain,
( ~ r(sK11)
| spl46_9 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f174,plain,
( spl46_9
<=> r(sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_9])]) ).
fof(f434,plain,
( ~ spl46_33
| spl46_36 ),
inference(avatar_contradiction_clause,[],[f431]) ).
fof(f431,plain,
( $false
| ~ spl46_33
| spl46_36 ),
inference(resolution,[],[f283,f298]) ).
fof(f298,plain,
( ~ p(sK29)
| spl46_36 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f296,plain,
( spl46_36
<=> p(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_36])]) ).
fof(f433,plain,
( ~ spl46_33
| spl46_38 ),
inference(avatar_contradiction_clause,[],[f432]) ).
fof(f432,plain,
( $false
| ~ spl46_33
| spl46_38 ),
inference(resolution,[],[f283,f308]) ).
fof(f308,plain,
( ~ p(sK30)
| spl46_38 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f306,plain,
( spl46_38
<=> p(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_38])]) ).
fof(f430,plain,
( spl46_6
| ~ spl46_8 ),
inference(avatar_contradiction_clause,[],[f429]) ).
fof(f429,plain,
( $false
| spl46_6
| ~ spl46_8 ),
inference(subsumption_resolution,[],[f163,f171]) ).
fof(f163,plain,
( ~ r(sK8)
| spl46_6 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f161,plain,
( spl46_6
<=> r(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_6])]) ).
fof(f428,plain,
( ~ spl46_5
| ~ spl46_44 ),
inference(avatar_contradiction_clause,[],[f427]) ).
fof(f427,plain,
( $false
| ~ spl46_5
| ~ spl46_44 ),
inference(subsumption_resolution,[],[f333,f159]) ).
fof(f426,plain,
( ~ spl46_41
| ~ spl46_43 ),
inference(avatar_contradiction_clause,[],[f425]) ).
fof(f425,plain,
( $false
| ~ spl46_41
| ~ spl46_43 ),
inference(subsumption_resolution,[],[f330,f321]) ).
fof(f330,plain,
( p(sK33)
| ~ spl46_43 ),
inference(avatar_component_clause,[],[f328]) ).
fof(f328,plain,
( spl46_43
<=> p(sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_43])]) ).
fof(f424,plain,
( ~ spl46_33
| spl46_59 ),
inference(avatar_contradiction_clause,[],[f423]) ).
fof(f423,plain,
( $false
| ~ spl46_33
| spl46_59 ),
inference(resolution,[],[f283,f403]) ).
fof(f403,plain,
( ~ p(sK45)
| spl46_59 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f422,plain,
( ~ spl46_22
| ~ spl46_51 ),
inference(avatar_contradiction_clause,[],[f421]) ).
fof(f421,plain,
( $false
| ~ spl46_22
| ~ spl46_51 ),
inference(subsumption_resolution,[],[f420,f233]) ).
fof(f420,plain,
( ! [X0] : ~ s(X0)
| ~ spl46_22
| ~ spl46_51 ),
inference(subsumption_resolution,[],[f367,f233]) ).
fof(f367,plain,
( ! [X0] :
( ~ s(sK40(X0))
| ~ s(X0) )
| ~ spl46_51 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f366,plain,
( spl46_51
<=> ! [X0] :
( ~ s(sK40(X0))
| ~ s(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_51])]) ).
fof(f419,plain,
( ~ spl46_22
| ~ spl46_29 ),
inference(avatar_contradiction_clause,[],[f418]) ).
fof(f418,plain,
( $false
| ~ spl46_22
| ~ spl46_29 ),
inference(subsumption_resolution,[],[f267,f233]) ).
fof(f417,plain,
( ~ spl46_22
| spl46_27 ),
inference(avatar_contradiction_clause,[],[f416]) ).
fof(f416,plain,
( $false
| ~ spl46_22
| spl46_27 ),
inference(subsumption_resolution,[],[f258,f233]) ).
fof(f258,plain,
( ~ s(sK23)
| spl46_27 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f256,plain,
( spl46_27
<=> s(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_27])]) ).
fof(f415,plain,
( spl46_20
| ~ spl46_22 ),
inference(avatar_contradiction_clause,[],[f414]) ).
fof(f414,plain,
( $false
| spl46_20
| ~ spl46_22 ),
inference(resolution,[],[f233,f225]) ).
fof(f225,plain,
( ~ s(sK16)
| spl46_20 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f223,plain,
( spl46_20
<=> s(sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_20])]) ).
fof(f413,plain,
( ~ spl46_8
| ~ spl46_11 ),
inference(avatar_contradiction_clause,[],[f412]) ).
fof(f412,plain,
( $false
| ~ spl46_8
| ~ spl46_11 ),
inference(subsumption_resolution,[],[f411,f171]) ).
fof(f411,plain,
( ! [X0] : ~ r(X0)
| ~ spl46_8
| ~ spl46_11 ),
inference(subsumption_resolution,[],[f185,f171]) ).
fof(f185,plain,
( ! [X0] :
( ~ r(sK12(X0))
| ~ r(X0) )
| ~ spl46_11 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f184,plain,
( spl46_11
<=> ! [X0] :
( ~ r(sK12(X0))
| ~ r(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_11])]) ).
fof(f410,plain,
( ~ spl46_8
| ~ spl46_14 ),
inference(avatar_contradiction_clause,[],[f409]) ).
fof(f409,plain,
( $false
| ~ spl46_8
| ~ spl46_14 ),
inference(subsumption_resolution,[],[f197,f171]) ).
fof(f408,plain,
( ~ spl46_5
| ~ spl46_7 ),
inference(avatar_contradiction_clause,[],[f407]) ).
fof(f407,plain,
( $false
| ~ spl46_5
| ~ spl46_7 ),
inference(subsumption_resolution,[],[f168,f159]) ).
fof(f168,plain,
( q(sK9)
| ~ spl46_7 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f166,plain,
( spl46_7
<=> q(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_7])]) ).
fof(f406,plain,
( ~ spl46_59
| spl46_33
| spl46_4 ),
inference(avatar_split_clause,[],[f129,f146,f282,f402]) ).
fof(f146,plain,
( spl46_4
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl46_4])]) ).
fof(f129,plain,
! [X3] :
( sP7
| p(X3)
| ~ p(sK45) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
( ( ~ sP7
| ! [X0] :
( ( ~ p(sK44(X0))
| ~ p(X0) )
& ( p(sK44(X0))
| p(X0) ) ) )
& ( sP7
| ! [X3] :
( ( p(sK45)
| ~ p(X3) )
& ( p(X3)
| ~ p(sK45) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK44,sK45])],[f73,f75,f74]) ).
fof(f74,plain,
! [X0] :
( ? [X1] :
( ( ~ p(X1)
| ~ p(X0) )
& ( p(X1)
| p(X0) ) )
=> ( ( ~ p(sK44(X0))
| ~ p(X0) )
& ( p(sK44(X0))
| p(X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
( ? [X2] :
! [X3] :
( ( p(X2)
| ~ p(X3) )
& ( p(X3)
| ~ p(X2) ) )
=> ! [X3] :
( ( p(sK45)
| ~ p(X3) )
& ( p(X3)
| ~ p(sK45) ) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
( ( ~ sP7
| ! [X0] :
? [X1] :
( ( ~ p(X1)
| ~ p(X0) )
& ( p(X1)
| p(X0) ) ) )
& ( sP7
| ? [X2] :
! [X3] :
( ( p(X2)
| ~ p(X3) )
& ( p(X3)
| ~ p(X2) ) ) ) ),
inference(rectify,[],[f72]) ).
fof(f72,plain,
( ( ~ sP7
| ! [X0] :
? [X1] :
( ( ~ p(X1)
| ~ p(X0) )
& ( p(X1)
| p(X0) ) ) )
& ( sP7
| ? [X0] :
! [X1] :
( ( p(X0)
| ~ p(X1) )
& ( p(X1)
| ~ p(X0) ) ) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
( ? [X0] :
! [X1] :
( p(X0)
<=> p(X1) )
<~> sP7 ),
inference(definition_folding,[],[f4,f12,f11,f10,f9,f8,f7,f6,f5]) ).
fof(f5,plain,
( sP0
<=> ? [X4] :
! [X5] :
( q(X4)
<=> q(X5) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f6,plain,
( sP1
<=> ? [X12] :
! [X13] :
( s(X12)
<=> s(X13) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f7,plain,
( sP2
<=> ( sP1
<=> ( ? [X14] : p(X14)
<=> ! [X15] : q(X15) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f8,plain,
( sP3
<=> ( ( ? [X10] : s(X10)
<=> ! [X11] : p(X11) )
<=> sP2 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f9,plain,
( sP4
<=> ( sP0
<=> ( ? [X6] : r(X6)
<=> ! [X7] : s(X7) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f10,plain,
( sP5
<=> ( ? [X8] :
! [X9] :
( r(X8)
<=> r(X9) )
<=> sP3 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f11,plain,
( sP6
<=> ( ? [X2] : q(X2)
<=> ! [X3] : r(X3) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f12,plain,
( sP7
<=> ( sP6
<=> ( sP4
<=> sP5 ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f4,plain,
( ? [X0] :
! [X1] :
( p(X0)
<=> p(X1) )
<~> ( ( ? [X2] : q(X2)
<=> ! [X3] : r(X3) )
<=> ( ( ? [X4] :
! [X5] :
( q(X4)
<=> q(X5) )
<=> ( ? [X6] : r(X6)
<=> ! [X7] : s(X7) ) )
<=> ( ? [X8] :
! [X9] :
( r(X8)
<=> r(X9) )
<=> ( ( ? [X10] : s(X10)
<=> ! [X11] : p(X11) )
<=> ( ? [X12] :
! [X13] :
( s(X12)
<=> s(X13) )
<=> ( ? [X14] : p(X14)
<=> ! [X15] : q(X15) ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ? [X0] :
! [X1] :
( p(X0)
<=> p(X1) )
<=> ( ( ? [X2] : q(X2)
<=> ! [X3] : r(X3) )
<=> ( ( ? [X4] :
! [X5] :
( q(X4)
<=> q(X5) )
<=> ( ? [X6] : r(X6)
<=> ! [X7] : s(X7) ) )
<=> ( ? [X8] :
! [X9] :
( r(X8)
<=> r(X9) )
<=> ( ( ? [X10] : s(X10)
<=> ! [X11] : p(X11) )
<=> ( ? [X12] :
! [X13] :
( s(X12)
<=> s(X13) )
<=> ( ? [X14] : p(X14)
<=> ! [X15] : q(X15) ) ) ) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ? [X0] :
! [X1] :
( p(X0)
<=> p(X1) )
<=> ( ( ? [X0] : q(X0)
<=> ! [X1] : r(X1) )
<=> ( ( ? [X0] :
! [X1] :
( q(X0)
<=> q(X1) )
<=> ( ? [X0] : r(X0)
<=> ! [X1] : s(X1) ) )
<=> ( ? [X0] :
! [X1] :
( r(X0)
<=> r(X1) )
<=> ( ( ? [X0] : s(X0)
<=> ! [X1] : p(X1) )
<=> ( ? [X0] :
! [X1] :
( s(X0)
<=> s(X1) )
<=> ( ? [X0] : p(X0)
<=> ! [X1] : q(X1) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ? [X0] :
! [X1] :
( p(X0)
<=> p(X1) )
<=> ( ( ? [X0] : q(X0)
<=> ! [X1] : r(X1) )
<=> ( ( ? [X0] :
! [X1] :
( q(X0)
<=> q(X1) )
<=> ( ? [X0] : r(X0)
<=> ! [X1] : s(X1) ) )
<=> ( ? [X0] :
! [X1] :
( r(X0)
<=> r(X1) )
<=> ( ( ? [X0] : s(X0)
<=> ! [X1] : p(X1) )
<=> ( ? [X0] :
! [X1] :
( s(X0)
<=> s(X1) )
<=> ( ? [X0] : p(X0)
<=> ! [X1] : q(X1) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm138) ).
fof(f405,plain,
( spl46_41
| spl46_59
| spl46_4 ),
inference(avatar_split_clause,[],[f130,f146,f402,f320]) ).
fof(f130,plain,
! [X3] :
( sP7
| p(sK45)
| ~ p(X3) ),
inference(cnf_transformation,[],[f76]) ).
fof(f400,plain,
( spl46_58
| ~ spl46_4 ),
inference(avatar_split_clause,[],[f131,f146,f398]) ).
fof(f131,plain,
! [X0] :
( ~ sP7
| p(sK44(X0))
| p(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f396,plain,
( spl46_57
| ~ spl46_4 ),
inference(avatar_split_clause,[],[f132,f146,f394]) ).
fof(f132,plain,
! [X0] :
( ~ sP7
| ~ p(sK44(X0))
| ~ p(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f392,plain,
( ~ spl46_19
| ~ spl46_56
| spl46_44 ),
inference(avatar_split_clause,[],[f125,f332,f388,f219]) ).
fof(f219,plain,
( spl46_19
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl46_19])]) ).
fof(f125,plain,
! [X3] :
( q(X3)
| ~ q(sK43)
| ~ sP0 ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
( ( sP0
| ! [X0] :
( ( ~ q(sK42(X0))
| ~ q(X0) )
& ( q(sK42(X0))
| q(X0) ) ) )
& ( ! [X3] :
( ( q(sK43)
| ~ q(X3) )
& ( q(X3)
| ~ q(sK43) ) )
| ~ sP0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK42,sK43])],[f68,f70,f69]) ).
fof(f69,plain,
! [X0] :
( ? [X1] :
( ( ~ q(X1)
| ~ q(X0) )
& ( q(X1)
| q(X0) ) )
=> ( ( ~ q(sK42(X0))
| ~ q(X0) )
& ( q(sK42(X0))
| q(X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
( ? [X2] :
! [X3] :
( ( q(X2)
| ~ q(X3) )
& ( q(X3)
| ~ q(X2) ) )
=> ! [X3] :
( ( q(sK43)
| ~ q(X3) )
& ( q(X3)
| ~ q(sK43) ) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
( ( sP0
| ! [X0] :
? [X1] :
( ( ~ q(X1)
| ~ q(X0) )
& ( q(X1)
| q(X0) ) ) )
& ( ? [X2] :
! [X3] :
( ( q(X2)
| ~ q(X3) )
& ( q(X3)
| ~ q(X2) ) )
| ~ sP0 ) ),
inference(rectify,[],[f67]) ).
fof(f67,plain,
( ( sP0
| ! [X4] :
? [X5] :
( ( ~ q(X5)
| ~ q(X4) )
& ( q(X5)
| q(X4) ) ) )
& ( ? [X4] :
! [X5] :
( ( q(X4)
| ~ q(X5) )
& ( q(X5)
| ~ q(X4) ) )
| ~ sP0 ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f391,plain,
( ~ spl46_19
| spl46_5
| spl46_56 ),
inference(avatar_split_clause,[],[f126,f388,f158,f219]) ).
fof(f126,plain,
! [X3] :
( q(sK43)
| ~ q(X3)
| ~ sP0 ),
inference(cnf_transformation,[],[f71]) ).
fof(f386,plain,
( spl46_55
| spl46_19 ),
inference(avatar_split_clause,[],[f127,f219,f384]) ).
fof(f127,plain,
! [X0] :
( sP0
| q(sK42(X0))
| q(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f382,plain,
( spl46_54
| spl46_19 ),
inference(avatar_split_clause,[],[f128,f219,f380]) ).
fof(f128,plain,
! [X0] :
( sP0
| ~ q(sK42(X0))
| ~ q(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f378,plain,
( ~ spl46_40
| ~ spl46_53
| spl46_22 ),
inference(avatar_split_clause,[],[f121,f232,f374,f316]) ).
fof(f316,plain,
( spl46_40
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl46_40])]) ).
fof(f121,plain,
! [X3] :
( s(X3)
| ~ s(sK41)
| ~ sP1 ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
( ( sP1
| ! [X0] :
( ( ~ s(sK40(X0))
| ~ s(X0) )
& ( s(sK40(X0))
| s(X0) ) ) )
& ( ! [X3] :
( ( s(sK41)
| ~ s(X3) )
& ( s(X3)
| ~ s(sK41) ) )
| ~ sP1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK40,sK41])],[f63,f65,f64]) ).
fof(f64,plain,
! [X0] :
( ? [X1] :
( ( ~ s(X1)
| ~ s(X0) )
& ( s(X1)
| s(X0) ) )
=> ( ( ~ s(sK40(X0))
| ~ s(X0) )
& ( s(sK40(X0))
| s(X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f65,plain,
( ? [X2] :
! [X3] :
( ( s(X2)
| ~ s(X3) )
& ( s(X3)
| ~ s(X2) ) )
=> ! [X3] :
( ( s(sK41)
| ~ s(X3) )
& ( s(X3)
| ~ s(sK41) ) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
( ( sP1
| ! [X0] :
? [X1] :
( ( ~ s(X1)
| ~ s(X0) )
& ( s(X1)
| s(X0) ) ) )
& ( ? [X2] :
! [X3] :
( ( s(X2)
| ~ s(X3) )
& ( s(X3)
| ~ s(X2) ) )
| ~ sP1 ) ),
inference(rectify,[],[f62]) ).
fof(f62,plain,
( ( sP1
| ! [X12] :
? [X13] :
( ( ~ s(X13)
| ~ s(X12) )
& ( s(X13)
| s(X12) ) ) )
& ( ? [X12] :
! [X13] :
( ( s(X12)
| ~ s(X13) )
& ( s(X13)
| ~ s(X12) ) )
| ~ sP1 ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f377,plain,
( ~ spl46_40
| spl46_29
| spl46_53 ),
inference(avatar_split_clause,[],[f122,f374,f266,f316]) ).
fof(f122,plain,
! [X3] :
( s(sK41)
| ~ s(X3)
| ~ sP1 ),
inference(cnf_transformation,[],[f66]) ).
fof(f372,plain,
( spl46_52
| spl46_40 ),
inference(avatar_split_clause,[],[f123,f316,f370]) ).
fof(f123,plain,
! [X0] :
( sP1
| s(sK40(X0))
| s(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f368,plain,
( spl46_51
| spl46_40 ),
inference(avatar_split_clause,[],[f124,f316,f366]) ).
fof(f124,plain,
! [X0] :
( sP1
| ~ s(sK40(X0))
| ~ s(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f364,plain,
( ~ spl46_31
| ~ spl46_40
| spl46_41
| spl46_44 ),
inference(avatar_split_clause,[],[f113,f332,f320,f316,f273]) ).
fof(f273,plain,
( spl46_31
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl46_31])]) ).
fof(f113,plain,
! [X14,X15] :
( q(X14)
| ~ p(X15)
| ~ sP1
| ~ sP2 ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
( ( sP2
| ( ( ( ( ~ q(sK32)
| ! [X1] : ~ p(X1) )
& ( ! [X2] : q(X2)
| p(sK33) ) )
| ~ sP1 )
& ( ( ( p(sK34)
| ~ q(sK35) )
& ( ! [X6] : q(X6)
| ! [X7] : ~ p(X7) ) )
| sP1 ) ) )
& ( ( ( sP1
| ( ( ~ q(sK36)
| ! [X9] : ~ p(X9) )
& ( ! [X10] : q(X10)
| p(sK37) ) ) )
& ( ( ( p(sK38)
| ~ q(sK39) )
& ( ! [X14] : q(X14)
| ! [X15] : ~ p(X15) ) )
| ~ sP1 ) )
| ~ sP2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK32,sK33,sK34,sK35,sK36,sK37,sK38,sK39])],[f52,f60,f59,f58,f57,f56,f55,f54,f53]) ).
fof(f53,plain,
( ? [X0] : ~ q(X0)
=> ~ q(sK32) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
( ? [X3] : p(X3)
=> p(sK33) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
( ? [X4] : p(X4)
=> p(sK34) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
( ? [X5] : ~ q(X5)
=> ~ q(sK35) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
( ? [X8] : ~ q(X8)
=> ~ q(sK36) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
( ? [X11] : p(X11)
=> p(sK37) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
( ? [X12] : p(X12)
=> p(sK38) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
( ? [X13] : ~ q(X13)
=> ~ q(sK39) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
( ( sP2
| ( ( ( ( ? [X0] : ~ q(X0)
| ! [X1] : ~ p(X1) )
& ( ! [X2] : q(X2)
| ? [X3] : p(X3) ) )
| ~ sP1 )
& ( ( ( ? [X4] : p(X4)
| ? [X5] : ~ q(X5) )
& ( ! [X6] : q(X6)
| ! [X7] : ~ p(X7) ) )
| sP1 ) ) )
& ( ( ( sP1
| ( ( ? [X8] : ~ q(X8)
| ! [X9] : ~ p(X9) )
& ( ! [X10] : q(X10)
| ? [X11] : p(X11) ) ) )
& ( ( ( ? [X12] : p(X12)
| ? [X13] : ~ q(X13) )
& ( ! [X14] : q(X14)
| ! [X15] : ~ p(X15) ) )
| ~ sP1 ) )
| ~ sP2 ) ),
inference(rectify,[],[f51]) ).
fof(f51,plain,
( ( sP2
| ( ( ( ( ? [X15] : ~ q(X15)
| ! [X14] : ~ p(X14) )
& ( ! [X15] : q(X15)
| ? [X14] : p(X14) ) )
| ~ sP1 )
& ( ( ( ? [X14] : p(X14)
| ? [X15] : ~ q(X15) )
& ( ! [X15] : q(X15)
| ! [X14] : ~ p(X14) ) )
| sP1 ) ) )
& ( ( ( sP1
| ( ( ? [X15] : ~ q(X15)
| ! [X14] : ~ p(X14) )
& ( ! [X15] : q(X15)
| ? [X14] : p(X14) ) ) )
& ( ( ( ? [X14] : p(X14)
| ? [X15] : ~ q(X15) )
& ( ! [X15] : q(X15)
| ! [X14] : ~ p(X14) ) )
| ~ sP1 ) )
| ~ sP2 ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f363,plain,
( ~ spl46_31
| ~ spl46_40
| ~ spl46_49
| spl46_50 ),
inference(avatar_split_clause,[],[f114,f360,f356,f316,f273]) ).
fof(f114,plain,
( p(sK38)
| ~ q(sK39)
| ~ sP1
| ~ sP2 ),
inference(cnf_transformation,[],[f61]) ).
fof(f354,plain,
( ~ spl46_31
| spl46_48
| spl46_44
| spl46_40 ),
inference(avatar_split_clause,[],[f115,f316,f332,f351,f273]) ).
fof(f115,plain,
! [X10] :
( sP1
| q(X10)
| p(sK37)
| ~ sP2 ),
inference(cnf_transformation,[],[f61]) ).
fof(f349,plain,
( ~ spl46_31
| spl46_41
| ~ spl46_47
| spl46_40 ),
inference(avatar_split_clause,[],[f116,f316,f346,f320,f273]) ).
fof(f116,plain,
! [X9] :
( sP1
| ~ q(sK36)
| ~ p(X9)
| ~ sP2 ),
inference(cnf_transformation,[],[f61]) ).
fof(f344,plain,
( spl46_40
| spl46_41
| spl46_44
| spl46_31 ),
inference(avatar_split_clause,[],[f117,f273,f332,f320,f316]) ).
fof(f117,plain,
! [X6,X7] :
( sP2
| q(X6)
| ~ p(X7)
| sP1 ),
inference(cnf_transformation,[],[f61]) ).
fof(f343,plain,
( spl46_40
| ~ spl46_45
| spl46_46
| spl46_31 ),
inference(avatar_split_clause,[],[f118,f273,f340,f336,f316]) ).
fof(f118,plain,
( sP2
| p(sK34)
| ~ q(sK35)
| sP1 ),
inference(cnf_transformation,[],[f61]) ).
fof(f334,plain,
( ~ spl46_40
| spl46_43
| spl46_44
| spl46_31 ),
inference(avatar_split_clause,[],[f119,f273,f332,f328,f316]) ).
fof(f119,plain,
! [X2] :
( sP2
| q(X2)
| p(sK33)
| ~ sP1 ),
inference(cnf_transformation,[],[f61]) ).
fof(f326,plain,
( ~ spl46_40
| spl46_41
| ~ spl46_42
| spl46_31 ),
inference(avatar_split_clause,[],[f120,f273,f323,f320,f316]) ).
fof(f120,plain,
! [X1] :
( sP2
| ~ q(sK32)
| ~ p(X1)
| ~ sP1 ),
inference(cnf_transformation,[],[f61]) ).
fof(f314,plain,
( ~ spl46_12
| spl46_39
| spl46_33
| spl46_31 ),
inference(avatar_split_clause,[],[f105,f273,f282,f311,f187]) ).
fof(f187,plain,
( spl46_12
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl46_12])]) ).
fof(f105,plain,
! [X14] :
( sP2
| p(X14)
| s(sK31)
| ~ sP3 ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( ( sP3
| ( ( ~ sP2
| ( ( ~ p(sK24)
| ! [X1] : ~ s(X1) )
& ( ! [X2] : p(X2)
| s(sK25) ) ) )
& ( sP2
| ( ( s(sK26)
| ~ p(sK27) )
& ( ! [X6] : p(X6)
| ! [X7] : ~ s(X7) ) ) ) ) )
& ( ( ( ( ( s(sK28)
| ~ p(sK29) )
& ( ! [X10] : p(X10)
| ! [X11] : ~ s(X11) ) )
| ~ sP2 )
& ( sP2
| ( ( ~ p(sK30)
| ! [X13] : ~ s(X13) )
& ( ! [X14] : p(X14)
| s(sK31) ) ) ) )
| ~ sP3 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31])],[f41,f49,f48,f47,f46,f45,f44,f43,f42]) ).
fof(f42,plain,
( ? [X0] : ~ p(X0)
=> ~ p(sK24) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
( ? [X3] : s(X3)
=> s(sK25) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
( ? [X4] : s(X4)
=> s(sK26) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
( ? [X5] : ~ p(X5)
=> ~ p(sK27) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
( ? [X8] : s(X8)
=> s(sK28) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
( ? [X9] : ~ p(X9)
=> ~ p(sK29) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
( ? [X12] : ~ p(X12)
=> ~ p(sK30) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
( ? [X15] : s(X15)
=> s(sK31) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
( ( sP3
| ( ( ~ sP2
| ( ( ? [X0] : ~ p(X0)
| ! [X1] : ~ s(X1) )
& ( ! [X2] : p(X2)
| ? [X3] : s(X3) ) ) )
& ( sP2
| ( ( ? [X4] : s(X4)
| ? [X5] : ~ p(X5) )
& ( ! [X6] : p(X6)
| ! [X7] : ~ s(X7) ) ) ) ) )
& ( ( ( ( ( ? [X8] : s(X8)
| ? [X9] : ~ p(X9) )
& ( ! [X10] : p(X10)
| ! [X11] : ~ s(X11) ) )
| ~ sP2 )
& ( sP2
| ( ( ? [X12] : ~ p(X12)
| ! [X13] : ~ s(X13) )
& ( ! [X14] : p(X14)
| ? [X15] : s(X15) ) ) ) )
| ~ sP3 ) ),
inference(rectify,[],[f40]) ).
fof(f40,plain,
( ( sP3
| ( ( ~ sP2
| ( ( ? [X11] : ~ p(X11)
| ! [X10] : ~ s(X10) )
& ( ! [X11] : p(X11)
| ? [X10] : s(X10) ) ) )
& ( sP2
| ( ( ? [X10] : s(X10)
| ? [X11] : ~ p(X11) )
& ( ! [X11] : p(X11)
| ! [X10] : ~ s(X10) ) ) ) ) )
& ( ( ( ( ( ? [X10] : s(X10)
| ? [X11] : ~ p(X11) )
& ( ! [X11] : p(X11)
| ! [X10] : ~ s(X10) ) )
| ~ sP2 )
& ( sP2
| ( ( ? [X11] : ~ p(X11)
| ! [X10] : ~ s(X10) )
& ( ! [X11] : p(X11)
| ? [X10] : s(X10) ) ) ) )
| ~ sP3 ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f309,plain,
( ~ spl46_12
| spl46_29
| ~ spl46_38
| spl46_31 ),
inference(avatar_split_clause,[],[f106,f273,f306,f266,f187]) ).
fof(f106,plain,
! [X13] :
( sP2
| ~ p(sK30)
| ~ s(X13)
| ~ sP3 ),
inference(cnf_transformation,[],[f50]) ).
fof(f304,plain,
( ~ spl46_12
| ~ spl46_31
| spl46_29
| spl46_33 ),
inference(avatar_split_clause,[],[f107,f282,f266,f273,f187]) ).
fof(f107,plain,
! [X10,X11] :
( p(X10)
| ~ s(X11)
| ~ sP2
| ~ sP3 ),
inference(cnf_transformation,[],[f50]) ).
fof(f303,plain,
( ~ spl46_12
| ~ spl46_31
| ~ spl46_36
| spl46_37 ),
inference(avatar_split_clause,[],[f108,f300,f296,f273,f187]) ).
fof(f108,plain,
( s(sK28)
| ~ p(sK29)
| ~ sP2
| ~ sP3 ),
inference(cnf_transformation,[],[f50]) ).
fof(f294,plain,
( spl46_29
| spl46_33
| spl46_31
| spl46_12 ),
inference(avatar_split_clause,[],[f109,f187,f273,f282,f266]) ).
fof(f109,plain,
! [X6,X7] :
( sP3
| sP2
| p(X6)
| ~ s(X7) ),
inference(cnf_transformation,[],[f50]) ).
fof(f293,plain,
( ~ spl46_34
| spl46_35
| spl46_31
| spl46_12 ),
inference(avatar_split_clause,[],[f110,f187,f273,f290,f286]) ).
fof(f110,plain,
( sP3
| sP2
| s(sK26)
| ~ p(sK27) ),
inference(cnf_transformation,[],[f50]) ).
fof(f284,plain,
( spl46_32
| spl46_33
| ~ spl46_31
| spl46_12 ),
inference(avatar_split_clause,[],[f111,f187,f273,f282,f278]) ).
fof(f111,plain,
! [X2] :
( sP3
| ~ sP2
| p(X2)
| s(sK25) ),
inference(cnf_transformation,[],[f50]) ).
fof(f276,plain,
( spl46_29
| ~ spl46_30
| ~ spl46_31
| spl46_12 ),
inference(avatar_split_clause,[],[f112,f187,f273,f269,f266]) ).
fof(f112,plain,
! [X1] :
( sP3
| ~ sP2
| ~ p(sK24)
| ~ s(X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f264,plain,
( ~ spl46_2
| ~ spl46_19
| spl46_14
| spl46_22 ),
inference(avatar_split_clause,[],[f97,f232,f196,f219,f138]) ).
fof(f138,plain,
( spl46_2
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl46_2])]) ).
fof(f97,plain,
! [X14,X15] :
( s(X14)
| ~ r(X15)
| ~ sP0
| ~ sP4 ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( ( sP4
| ( ( ( ( ~ s(sK16)
| ! [X1] : ~ r(X1) )
& ( ! [X2] : s(X2)
| r(sK17) ) )
| ~ sP0 )
& ( ( ( r(sK18)
| ~ s(sK19) )
& ( ! [X6] : s(X6)
| ! [X7] : ~ r(X7) ) )
| sP0 ) ) )
& ( ( ( sP0
| ( ( ~ s(sK20)
| ! [X9] : ~ r(X9) )
& ( ! [X10] : s(X10)
| r(sK21) ) ) )
& ( ( ( r(sK22)
| ~ s(sK23) )
& ( ! [X14] : s(X14)
| ! [X15] : ~ r(X15) ) )
| ~ sP0 ) )
| ~ sP4 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17,sK18,sK19,sK20,sK21,sK22,sK23])],[f30,f38,f37,f36,f35,f34,f33,f32,f31]) ).
fof(f31,plain,
( ? [X0] : ~ s(X0)
=> ~ s(sK16) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
( ? [X3] : r(X3)
=> r(sK17) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
( ? [X4] : r(X4)
=> r(sK18) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
( ? [X5] : ~ s(X5)
=> ~ s(sK19) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
( ? [X8] : ~ s(X8)
=> ~ s(sK20) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
( ? [X11] : r(X11)
=> r(sK21) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
( ? [X12] : r(X12)
=> r(sK22) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
( ? [X13] : ~ s(X13)
=> ~ s(sK23) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
( ( sP4
| ( ( ( ( ? [X0] : ~ s(X0)
| ! [X1] : ~ r(X1) )
& ( ! [X2] : s(X2)
| ? [X3] : r(X3) ) )
| ~ sP0 )
& ( ( ( ? [X4] : r(X4)
| ? [X5] : ~ s(X5) )
& ( ! [X6] : s(X6)
| ! [X7] : ~ r(X7) ) )
| sP0 ) ) )
& ( ( ( sP0
| ( ( ? [X8] : ~ s(X8)
| ! [X9] : ~ r(X9) )
& ( ! [X10] : s(X10)
| ? [X11] : r(X11) ) ) )
& ( ( ( ? [X12] : r(X12)
| ? [X13] : ~ s(X13) )
& ( ! [X14] : s(X14)
| ! [X15] : ~ r(X15) ) )
| ~ sP0 ) )
| ~ sP4 ) ),
inference(rectify,[],[f29]) ).
fof(f29,plain,
( ( sP4
| ( ( ( ( ? [X7] : ~ s(X7)
| ! [X6] : ~ r(X6) )
& ( ! [X7] : s(X7)
| ? [X6] : r(X6) ) )
| ~ sP0 )
& ( ( ( ? [X6] : r(X6)
| ? [X7] : ~ s(X7) )
& ( ! [X7] : s(X7)
| ! [X6] : ~ r(X6) ) )
| sP0 ) ) )
& ( ( ( sP0
| ( ( ? [X7] : ~ s(X7)
| ! [X6] : ~ r(X6) )
& ( ! [X7] : s(X7)
| ? [X6] : r(X6) ) ) )
& ( ( ( ? [X6] : r(X6)
| ? [X7] : ~ s(X7) )
& ( ! [X7] : s(X7)
| ! [X6] : ~ r(X6) ) )
| ~ sP0 ) )
| ~ sP4 ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f263,plain,
( ~ spl46_2
| ~ spl46_19
| ~ spl46_27
| spl46_28 ),
inference(avatar_split_clause,[],[f98,f260,f256,f219,f138]) ).
fof(f98,plain,
( r(sK22)
| ~ s(sK23)
| ~ sP0
| ~ sP4 ),
inference(cnf_transformation,[],[f39]) ).
fof(f254,plain,
( ~ spl46_2
| spl46_26
| spl46_22
| spl46_19 ),
inference(avatar_split_clause,[],[f99,f219,f232,f251,f138]) ).
fof(f99,plain,
! [X10] :
( sP0
| s(X10)
| r(sK21)
| ~ sP4 ),
inference(cnf_transformation,[],[f39]) ).
fof(f249,plain,
( ~ spl46_2
| spl46_14
| ~ spl46_25
| spl46_19 ),
inference(avatar_split_clause,[],[f100,f219,f246,f196,f138]) ).
fof(f100,plain,
! [X9] :
( sP0
| ~ s(sK20)
| ~ r(X9)
| ~ sP4 ),
inference(cnf_transformation,[],[f39]) ).
fof(f244,plain,
( spl46_19
| spl46_14
| spl46_22
| spl46_2 ),
inference(avatar_split_clause,[],[f101,f138,f232,f196,f219]) ).
fof(f101,plain,
! [X6,X7] :
( sP4
| s(X6)
| ~ r(X7)
| sP0 ),
inference(cnf_transformation,[],[f39]) ).
fof(f243,plain,
( spl46_19
| ~ spl46_23
| spl46_24
| spl46_2 ),
inference(avatar_split_clause,[],[f102,f138,f240,f236,f219]) ).
fof(f102,plain,
( sP4
| r(sK18)
| ~ s(sK19)
| sP0 ),
inference(cnf_transformation,[],[f39]) ).
fof(f234,plain,
( ~ spl46_19
| spl46_21
| spl46_22
| spl46_2 ),
inference(avatar_split_clause,[],[f103,f138,f232,f228,f219]) ).
fof(f103,plain,
! [X2] :
( sP4
| s(X2)
| r(sK17)
| ~ sP0 ),
inference(cnf_transformation,[],[f39]) ).
fof(f226,plain,
( ~ spl46_19
| spl46_14
| ~ spl46_20
| spl46_2 ),
inference(avatar_split_clause,[],[f104,f138,f223,f196,f219]) ).
fof(f104,plain,
! [X1] :
( sP4
| ~ s(sK16)
| ~ r(X1)
| ~ sP0 ),
inference(cnf_transformation,[],[f39]) ).
fof(f217,plain,
( ~ spl46_3
| spl46_18
| spl46_12 ),
inference(avatar_split_clause,[],[f89,f187,f215,f142]) ).
fof(f142,plain,
( spl46_3
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl46_3])]) ).
fof(f89,plain,
! [X6] :
( sP3
| r(sK15(X6))
| r(X6)
| ~ sP5 ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
( ( sP5
| ( ( ~ sP3
| ! [X0] :
( ( ~ r(sK12(X0))
| ~ r(X0) )
& ( r(sK12(X0))
| r(X0) ) ) )
& ( sP3
| ! [X3] :
( ( r(sK13)
| ~ r(X3) )
& ( r(X3)
| ~ r(sK13) ) ) ) ) )
& ( ( ( ! [X5] :
( ( r(sK14)
| ~ r(X5) )
& ( r(X5)
| ~ r(sK14) ) )
| ~ sP3 )
& ( sP3
| ! [X6] :
( ( ~ r(sK15(X6))
| ~ r(X6) )
& ( r(sK15(X6))
| r(X6) ) ) ) )
| ~ sP5 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13,sK14,sK15])],[f23,f27,f26,f25,f24]) ).
fof(f24,plain,
! [X0] :
( ? [X1] :
( ( ~ r(X1)
| ~ r(X0) )
& ( r(X1)
| r(X0) ) )
=> ( ( ~ r(sK12(X0))
| ~ r(X0) )
& ( r(sK12(X0))
| r(X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
( ? [X2] :
! [X3] :
( ( r(X2)
| ~ r(X3) )
& ( r(X3)
| ~ r(X2) ) )
=> ! [X3] :
( ( r(sK13)
| ~ r(X3) )
& ( r(X3)
| ~ r(sK13) ) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
( ? [X4] :
! [X5] :
( ( r(X4)
| ~ r(X5) )
& ( r(X5)
| ~ r(X4) ) )
=> ! [X5] :
( ( r(sK14)
| ~ r(X5) )
& ( r(X5)
| ~ r(sK14) ) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
! [X6] :
( ? [X7] :
( ( ~ r(X7)
| ~ r(X6) )
& ( r(X7)
| r(X6) ) )
=> ( ( ~ r(sK15(X6))
| ~ r(X6) )
& ( r(sK15(X6))
| r(X6) ) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
( ( sP5
| ( ( ~ sP3
| ! [X0] :
? [X1] :
( ( ~ r(X1)
| ~ r(X0) )
& ( r(X1)
| r(X0) ) ) )
& ( sP3
| ? [X2] :
! [X3] :
( ( r(X2)
| ~ r(X3) )
& ( r(X3)
| ~ r(X2) ) ) ) ) )
& ( ( ( ? [X4] :
! [X5] :
( ( r(X4)
| ~ r(X5) )
& ( r(X5)
| ~ r(X4) ) )
| ~ sP3 )
& ( sP3
| ! [X6] :
? [X7] :
( ( ~ r(X7)
| ~ r(X6) )
& ( r(X7)
| r(X6) ) ) ) )
| ~ sP5 ) ),
inference(rectify,[],[f22]) ).
fof(f22,plain,
( ( sP5
| ( ( ~ sP3
| ! [X8] :
? [X9] :
( ( ~ r(X9)
| ~ r(X8) )
& ( r(X9)
| r(X8) ) ) )
& ( sP3
| ? [X8] :
! [X9] :
( ( r(X8)
| ~ r(X9) )
& ( r(X9)
| ~ r(X8) ) ) ) ) )
& ( ( ( ? [X8] :
! [X9] :
( ( r(X8)
| ~ r(X9) )
& ( r(X9)
| ~ r(X8) ) )
| ~ sP3 )
& ( sP3
| ! [X8] :
? [X9] :
( ( ~ r(X9)
| ~ r(X8) )
& ( r(X9)
| r(X8) ) ) ) )
| ~ sP5 ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f213,plain,
( ~ spl46_3
| spl46_17
| spl46_12 ),
inference(avatar_split_clause,[],[f90,f187,f211,f142]) ).
fof(f90,plain,
! [X6] :
( sP3
| ~ r(sK15(X6))
| ~ r(X6)
| ~ sP5 ),
inference(cnf_transformation,[],[f28]) ).
fof(f209,plain,
( ~ spl46_3
| ~ spl46_12
| ~ spl46_16
| spl46_8 ),
inference(avatar_split_clause,[],[f91,f170,f205,f187,f142]) ).
fof(f205,plain,
( spl46_16
<=> r(sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_16])]) ).
fof(f91,plain,
! [X5] :
( r(X5)
| ~ r(sK14)
| ~ sP3
| ~ sP5 ),
inference(cnf_transformation,[],[f28]) ).
fof(f208,plain,
( ~ spl46_3
| ~ spl46_12
| spl46_14
| spl46_16 ),
inference(avatar_split_clause,[],[f92,f205,f196,f187,f142]) ).
fof(f92,plain,
! [X5] :
( r(sK14)
| ~ r(X5)
| ~ sP3
| ~ sP5 ),
inference(cnf_transformation,[],[f28]) ).
fof(f203,plain,
( ~ spl46_15
| spl46_8
| spl46_12
| spl46_3 ),
inference(avatar_split_clause,[],[f93,f142,f187,f170,f199]) ).
fof(f199,plain,
( spl46_15
<=> r(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_15])]) ).
fof(f93,plain,
! [X3] :
( sP5
| sP3
| r(X3)
| ~ r(sK13) ),
inference(cnf_transformation,[],[f28]) ).
fof(f202,plain,
( spl46_14
| spl46_15
| spl46_12
| spl46_3 ),
inference(avatar_split_clause,[],[f94,f142,f187,f199,f196]) ).
fof(f94,plain,
! [X3] :
( sP5
| sP3
| r(sK13)
| ~ r(X3) ),
inference(cnf_transformation,[],[f28]) ).
fof(f194,plain,
( spl46_13
| ~ spl46_12
| spl46_3 ),
inference(avatar_split_clause,[],[f95,f142,f187,f192]) ).
fof(f95,plain,
! [X0] :
( sP5
| ~ sP3
| r(sK12(X0))
| r(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f190,plain,
( spl46_11
| ~ spl46_12
| spl46_3 ),
inference(avatar_split_clause,[],[f96,f142,f187,f184]) ).
fof(f96,plain,
! [X0] :
( sP5
| ~ sP3
| ~ r(sK12(X0))
| ~ r(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f182,plain,
( ~ spl46_1
| spl46_5
| spl46_8 ),
inference(avatar_split_clause,[],[f85,f170,f158,f134]) ).
fof(f134,plain,
( spl46_1
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl46_1])]) ).
fof(f85,plain,
! [X6,X7] :
( r(X6)
| ~ q(X7)
| ~ sP6 ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
( ( sP6
| ( ( ~ r(sK8)
| ! [X1] : ~ q(X1) )
& ( ! [X2] : r(X2)
| q(sK9) ) ) )
& ( ( ( q(sK10)
| ~ r(sK11) )
& ( ! [X6] : r(X6)
| ! [X7] : ~ q(X7) ) )
| ~ sP6 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11])],[f16,f20,f19,f18,f17]) ).
fof(f17,plain,
( ? [X0] : ~ r(X0)
=> ~ r(sK8) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
( ? [X3] : q(X3)
=> q(sK9) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
( ? [X4] : q(X4)
=> q(sK10) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
( ? [X5] : ~ r(X5)
=> ~ r(sK11) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
( ( sP6
| ( ( ? [X0] : ~ r(X0)
| ! [X1] : ~ q(X1) )
& ( ! [X2] : r(X2)
| ? [X3] : q(X3) ) ) )
& ( ( ( ? [X4] : q(X4)
| ? [X5] : ~ r(X5) )
& ( ! [X6] : r(X6)
| ! [X7] : ~ q(X7) ) )
| ~ sP6 ) ),
inference(rectify,[],[f15]) ).
fof(f15,plain,
( ( sP6
| ( ( ? [X3] : ~ r(X3)
| ! [X2] : ~ q(X2) )
& ( ! [X3] : r(X3)
| ? [X2] : q(X2) ) ) )
& ( ( ( ? [X2] : q(X2)
| ? [X3] : ~ r(X3) )
& ( ! [X3] : r(X3)
| ! [X2] : ~ q(X2) ) )
| ~ sP6 ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f181,plain,
( ~ spl46_1
| ~ spl46_9
| spl46_10 ),
inference(avatar_split_clause,[],[f86,f178,f174,f134]) ).
fof(f86,plain,
( q(sK10)
| ~ r(sK11)
| ~ sP6 ),
inference(cnf_transformation,[],[f21]) ).
fof(f172,plain,
( spl46_7
| spl46_8
| spl46_1 ),
inference(avatar_split_clause,[],[f87,f134,f170,f166]) ).
fof(f87,plain,
! [X2] :
( sP6
| r(X2)
| q(sK9) ),
inference(cnf_transformation,[],[f21]) ).
fof(f164,plain,
( spl46_5
| ~ spl46_6
| spl46_1 ),
inference(avatar_split_clause,[],[f88,f134,f161,f158]) ).
fof(f88,plain,
! [X1] :
( sP6
| ~ r(sK8)
| ~ q(X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f156,plain,
( ~ spl46_4
| ~ spl46_1
| ~ spl46_2
| spl46_3 ),
inference(avatar_split_clause,[],[f77,f142,f138,f134,f146]) ).
fof(f77,plain,
( sP5
| ~ sP4
| ~ sP6
| ~ sP7 ),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
( ( sP7
| ( ( ( ( ~ sP5
| ~ sP4 )
& ( sP5
| sP4 ) )
| ~ sP6 )
& ( ( ( sP4
| ~ sP5 )
& ( sP5
| ~ sP4 ) )
| sP6 ) ) )
& ( ( ( sP6
| ( ( ~ sP5
| ~ sP4 )
& ( sP5
| sP4 ) ) )
& ( ( ( sP4
| ~ sP5 )
& ( sP5
| ~ sP4 ) )
| ~ sP6 ) )
| ~ sP7 ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f155,plain,
( ~ spl46_4
| ~ spl46_1
| ~ spl46_3
| spl46_2 ),
inference(avatar_split_clause,[],[f78,f138,f142,f134,f146]) ).
fof(f78,plain,
( sP4
| ~ sP5
| ~ sP6
| ~ sP7 ),
inference(cnf_transformation,[],[f14]) ).
fof(f154,plain,
( ~ spl46_4
| spl46_2
| spl46_3
| spl46_1 ),
inference(avatar_split_clause,[],[f79,f134,f142,f138,f146]) ).
fof(f79,plain,
( sP6
| sP5
| sP4
| ~ sP7 ),
inference(cnf_transformation,[],[f14]) ).
fof(f153,plain,
( ~ spl46_4
| ~ spl46_2
| ~ spl46_3
| spl46_1 ),
inference(avatar_split_clause,[],[f80,f134,f142,f138,f146]) ).
fof(f80,plain,
( sP6
| ~ sP5
| ~ sP4
| ~ sP7 ),
inference(cnf_transformation,[],[f14]) ).
fof(f152,plain,
( spl46_1
| ~ spl46_2
| spl46_3
| spl46_4 ),
inference(avatar_split_clause,[],[f81,f146,f142,f138,f134]) ).
fof(f81,plain,
( sP7
| sP5
| ~ sP4
| sP6 ),
inference(cnf_transformation,[],[f14]) ).
fof(f151,plain,
( spl46_1
| ~ spl46_3
| spl46_2
| spl46_4 ),
inference(avatar_split_clause,[],[f82,f146,f138,f142,f134]) ).
fof(f82,plain,
( sP7
| sP4
| ~ sP5
| sP6 ),
inference(cnf_transformation,[],[f14]) ).
fof(f150,plain,
( ~ spl46_1
| spl46_2
| spl46_3
| spl46_4 ),
inference(avatar_split_clause,[],[f83,f146,f142,f138,f134]) ).
fof(f83,plain,
( sP7
| sP5
| sP4
| ~ sP6 ),
inference(cnf_transformation,[],[f14]) ).
fof(f149,plain,
( ~ spl46_1
| ~ spl46_2
| ~ spl46_3
| spl46_4 ),
inference(avatar_split_clause,[],[f84,f146,f142,f138,f134]) ).
fof(f84,plain,
( sP7
| ~ sP5
| ~ sP4
| ~ sP6 ),
inference(cnf_transformation,[],[f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.18 % Problem : SYN723+1 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.19 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.41 % Computer : n027.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8042.1875MB
% 0.15/0.41 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Fri May 3 17:35:23 EDT 2024
% 0.15/0.41 % CPUTime :
% 0.15/0.42 % (25142)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.43 % (25149)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.43 TRYING [1]
% 0.15/0.43 TRYING [2]
% 0.15/0.43 % (25143)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.43 % (25144)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.43 % (25145)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.43 TRYING [3]
% 0.15/0.43 TRYING [1]
% 0.15/0.43 % (25148)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.43 TRYING [2]
% 0.15/0.44 TRYING [4]
% 0.15/0.44 TRYING [3]
% 0.15/0.44 % (25146)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.44 TRYING [1,1,1,1]
% 0.15/0.44 TRYING [5]
% 0.15/0.44 TRYING [4]
% 0.15/0.44 TRYING [2,1,1,1]
% 0.15/0.44 % (25147)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.44 TRYING [1,1,1,1]
% 0.15/0.44 TRYING [2,1,1,1]
% 0.15/0.44 TRYING [3,1,1,1]
% 0.15/0.44 TRYING [3,1,1,1]
% 0.15/0.44 % (25148)First to succeed.
% 0.15/0.44 TRYING [2,2,1,1]
% 0.15/0.44 TRYING [6]
% 0.15/0.44 TRYING [5]
% 0.15/0.44 TRYING [2,2,1,1]
% 0.15/0.44 TRYING [2,1,2,1]
% 0.15/0.44 TRYING [2,1,1,2]
% 0.15/0.45 TRYING [3,2,1,1]
% 0.15/0.45 TRYING [2,1,2,1]
% 0.15/0.45 TRYING [2,2,2,1]
% 0.15/0.45 % (25149)Also succeeded, but the first one will report.
% 0.15/0.45 % (25148)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25142"
% 0.15/0.45 TRYING [6]
% 0.15/0.45 % (25148)Refutation found. Thanks to Tanya!
% 0.15/0.45 % SZS status Theorem for theBenchmark
% 0.15/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.45 % (25148)------------------------------
% 0.15/0.45 % (25148)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.45 % (25148)Termination reason: Refutation
% 0.15/0.45
% 0.15/0.45 % (25148)Memory used [KB]: 1019
% 0.15/0.45 % (25148)Time elapsed: 0.014 s
% 0.15/0.45 % (25148)Instructions burned: 19 (million)
% 0.15/0.45 % (25142)Success in time 0.03 s
%------------------------------------------------------------------------------