TSTP Solution File: SYN723+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN723+1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %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 : 300s
% DateTime : Wed Aug 31 19:28:12 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 118
% Syntax : Number of formulae : 445 ( 1 unt; 0 def)
% Number of atoms : 1905 ( 0 equ)
% Maximal formula atoms : 34 ( 4 avg)
% Number of connectives : 2332 ( 872 ~;1090 |; 178 &)
% ( 144 <=>; 46 =>; 0 <=; 2 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 76 ( 75 usr; 72 prp; 0-1 aty)
% Number of functors : 46 ( 46 usr; 39 con; 0-1 aty)
% Number of variables : 535 ( 357 !; 178 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f614,plain,
$false,
inference(avatar_sat_refutation,[],[f158,f177,f190,f198,f210,f218,f231,f243,f255,f256,f264,f269,f270,f278,f282,f290,f295,f303,f304,f312,f321,f325,f326,f331,f340,f341,f342,f346,f351,f356,f357,f361,f362,f363,f364,f365,f369,f374,f375,f376,f381,f385,f386,f387,f388,f389,f393,f394,f399,f404,f405,f406,f411,f412,f413,f414,f419,f420,f424,f433,f437,f438,f439,f440,f449,f450,f451,f452,f454,f456,f458,f460,f463,f465,f467,f469,f471,f473,f476,f478,f482,f485,f487,f489,f492,f496,f499,f501,f504,f506,f508,f510,f519,f521,f523,f526,f530,f533,f537,f549,f553,f555,f557,f559,f561,f564,f566,f576,f578,f580,f586,f588,f594,f601,f603,f605,f611,f613]) ).
fof(f613,plain,
( ~ spl51_29
| ~ spl51_43 ),
inference(avatar_contradiction_clause,[],[f612]) ).
fof(f612,plain,
( $false
| ~ spl51_29
| ~ spl51_43 ),
inference(subsumption_resolution,[],[f320,f259]) ).
fof(f259,plain,
( ! [X7] : ~ q(X7)
| ~ spl51_29 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f258,plain,
( spl51_29
<=> ! [X7] : ~ q(X7) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_29])]) ).
fof(f320,plain,
( q(sK9)
| ~ spl51_43 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f318,plain,
( spl51_43
<=> q(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_43])]) ).
fof(f611,plain,
( ~ spl51_39
| ~ spl51_60 ),
inference(avatar_contradiction_clause,[],[f610]) ).
fof(f610,plain,
( $false
| ~ spl51_39
| ~ spl51_60 ),
inference(subsumption_resolution,[],[f418,f302]) ).
fof(f302,plain,
( ! [X13] : ~ s(X13)
| ~ spl51_39 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f301,plain,
( spl51_39
<=> ! [X13] : ~ s(X13) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_39])]) ).
fof(f418,plain,
( s(sK30)
| ~ spl51_60 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f416,plain,
( spl51_60
<=> s(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_60])]) ).
fof(f605,plain,
( ~ spl51_6
| ~ spl51_38 ),
inference(avatar_contradiction_clause,[],[f604]) ).
fof(f604,plain,
( $false
| ~ spl51_6
| ~ spl51_38 ),
inference(subsumption_resolution,[],[f299,f165]) ).
fof(f165,plain,
( ! [X14] : ~ p(X14)
| ~ spl51_6 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f164,plain,
( spl51_6
<=> ! [X14] : ~ p(X14) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_6])]) ).
fof(f299,plain,
( p(sK45)
| ~ spl51_38 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f297,plain,
( spl51_38
<=> p(sK45) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_38])]) ).
fof(f603,plain,
( ~ spl51_13
| spl51_50 ),
inference(avatar_contradiction_clause,[],[f602]) ).
fof(f602,plain,
( $false
| ~ spl51_13
| spl51_50 ),
inference(subsumption_resolution,[],[f355,f193]) ).
fof(f193,plain,
( ! [X11] : p(X11)
| ~ spl51_13 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f192,plain,
( spl51_13
<=> ! [X11] : p(X11) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_13])]) ).
fof(f355,plain,
( ~ p(sK29)
| spl51_50 ),
inference(avatar_component_clause,[],[f353]) ).
fof(f353,plain,
( spl51_50
<=> p(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_50])]) ).
fof(f601,plain,
( ~ spl51_36
| ~ spl51_55 ),
inference(avatar_contradiction_clause,[],[f600]) ).
fof(f600,plain,
( $false
| ~ spl51_36
| ~ spl51_55 ),
inference(subsumption_resolution,[],[f599,f289]) ).
fof(f289,plain,
( ! [X0] : ~ r(X0)
| ~ spl51_36 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f288,plain,
( spl51_36
<=> ! [X0] : ~ r(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_36])]) ).
fof(f599,plain,
( ! [X4] : r(sK15(X4))
| ~ spl51_36
| ~ spl51_55 ),
inference(subsumption_resolution,[],[f384,f289]) ).
fof(f384,plain,
( ! [X4] :
( r(X4)
| r(sK15(X4)) )
| ~ spl51_55 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f383,plain,
( spl51_55
<=> ! [X4] :
( r(X4)
| r(sK15(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_55])]) ).
fof(f594,plain,
( ~ spl51_27
| ~ spl51_61 ),
inference(avatar_contradiction_clause,[],[f593]) ).
fof(f593,plain,
( $false
| ~ spl51_27
| ~ spl51_61 ),
inference(subsumption_resolution,[],[f592,f250]) ).
fof(f250,plain,
( ! [X7] : r(X7)
| ~ spl51_27 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f249,plain,
( spl51_27
<=> ! [X7] : r(X7) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_27])]) ).
fof(f592,plain,
( ! [X4] : ~ r(sK15(X4))
| ~ spl51_27
| ~ spl51_61 ),
inference(subsumption_resolution,[],[f423,f250]) ).
fof(f423,plain,
( ! [X4] :
( ~ r(sK15(X4))
| ~ r(X4) )
| ~ spl51_61 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f422,plain,
( spl51_61
<=> ! [X4] :
( ~ r(X4)
| ~ r(sK15(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_61])]) ).
fof(f588,plain,
( ~ spl51_39
| ~ spl51_65 ),
inference(avatar_contradiction_clause,[],[f587]) ).
fof(f587,plain,
( $false
| ~ spl51_39
| ~ spl51_65 ),
inference(subsumption_resolution,[],[f444,f302]) ).
fof(f444,plain,
( s(sK31)
| ~ spl51_65 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f442,plain,
( spl51_65
<=> s(sK31) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_65])]) ).
fof(f586,plain,
( ~ spl51_13
| spl51_66 ),
inference(avatar_contradiction_clause,[],[f585]) ).
fof(f585,plain,
( $false
| ~ spl51_13
| spl51_66 ),
inference(subsumption_resolution,[],[f448,f193]) ).
fof(f448,plain,
( ~ p(sK32)
| spl51_66 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f446,plain,
( spl51_66
<=> p(sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_66])]) ).
fof(f580,plain,
( ~ spl51_29
| ~ spl51_62 ),
inference(avatar_contradiction_clause,[],[f579]) ).
fof(f579,plain,
( $false
| ~ spl51_29
| ~ spl51_62 ),
inference(subsumption_resolution,[],[f428,f259]) ).
fof(f428,plain,
( q(sK7)
| ~ spl51_62 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f426,plain,
( spl51_62
<=> q(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_62])]) ).
fof(f578,plain,
( ~ spl51_27
| spl51_63 ),
inference(avatar_contradiction_clause,[],[f577]) ).
fof(f577,plain,
( $false
| ~ spl51_27
| spl51_63 ),
inference(subsumption_resolution,[],[f432,f250]) ).
fof(f432,plain,
( ~ r(sK8)
| spl51_63 ),
inference(avatar_component_clause,[],[f430]) ).
fof(f430,plain,
( spl51_63
<=> r(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_63])]) ).
fof(f576,plain,
( ~ spl51_27
| spl51_53 ),
inference(avatar_contradiction_clause,[],[f575]) ).
fof(f575,plain,
( $false
| ~ spl51_27
| spl51_53 ),
inference(subsumption_resolution,[],[f373,f250]) ).
fof(f373,plain,
( ~ r(sK5)
| spl51_53 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f371,plain,
( spl51_53
<=> r(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_53])]) ).
fof(f566,plain,
( ~ spl51_6
| ~ spl51_48 ),
inference(avatar_contradiction_clause,[],[f565]) ).
fof(f565,plain,
( $false
| ~ spl51_6
| ~ spl51_48 ),
inference(subsumption_resolution,[],[f563,f165]) ).
fof(f563,plain,
( ! [X0] : p(X0)
| ~ spl51_6
| ~ spl51_48 ),
inference(resolution,[],[f165,f345]) ).
fof(f345,plain,
( ! [X0] :
( p(sK49(X0))
| p(X0) )
| ~ spl51_48 ),
inference(avatar_component_clause,[],[f344]) ).
fof(f344,plain,
( spl51_48
<=> ! [X0] :
( p(sK49(X0))
| p(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_48])]) ).
fof(f564,plain,
( ~ spl51_6
| ~ spl51_24 ),
inference(avatar_contradiction_clause,[],[f562]) ).
fof(f562,plain,
( $false
| ~ spl51_6
| ~ spl51_24 ),
inference(resolution,[],[f165,f239]) ).
fof(f239,plain,
( p(sK46)
| ~ spl51_24 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f237,plain,
( spl51_24
<=> p(sK46) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_24])]) ).
fof(f561,plain,
( spl51_9
| ~ spl51_15 ),
inference(avatar_contradiction_clause,[],[f560]) ).
fof(f560,plain,
( $false
| spl51_9
| ~ spl51_15 ),
inference(resolution,[],[f201,f176]) ).
fof(f176,plain,
( ~ q(sK44)
| spl51_9 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f174,plain,
( spl51_9
<=> q(sK44) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_9])]) ).
fof(f201,plain,
( ! [X13] : q(X13)
| ~ spl51_15 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f200,plain,
( spl51_15
<=> ! [X13] : q(X13) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_15])]) ).
fof(f559,plain,
( ~ spl51_7
| spl51_35 ),
inference(avatar_contradiction_clause,[],[f558]) ).
fof(f558,plain,
( $false
| ~ spl51_7
| spl51_35 ),
inference(subsumption_resolution,[],[f286,f168]) ).
fof(f168,plain,
( ! [X13] : s(X13)
| ~ spl51_7 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f167,plain,
( spl51_7
<=> ! [X13] : s(X13) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_7])]) ).
fof(f286,plain,
( ~ s(sK17)
| spl51_35 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f284,plain,
( spl51_35
<=> s(sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_35])]) ).
fof(f557,plain,
( ~ spl51_29
| ~ spl51_56 ),
inference(avatar_contradiction_clause,[],[f556]) ).
fof(f556,plain,
( $false
| ~ spl51_29
| ~ spl51_56 ),
inference(subsumption_resolution,[],[f546,f259]) ).
fof(f546,plain,
( ! [X1] : q(X1)
| ~ spl51_29
| ~ spl51_56 ),
inference(resolution,[],[f259,f392]) ).
fof(f392,plain,
( ! [X22] :
( q(sK28(X22))
| q(X22) )
| ~ spl51_56 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f391,plain,
( spl51_56
<=> ! [X22] :
( q(sK28(X22))
| q(X22) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_56])]) ).
fof(f555,plain,
( ~ spl51_29
| ~ spl51_44 ),
inference(avatar_contradiction_clause,[],[f554]) ).
fof(f554,plain,
( $false
| ~ spl51_29
| ~ spl51_44 ),
inference(subsumption_resolution,[],[f544,f259]) ).
fof(f544,plain,
( ! [X0] : q(X0)
| ~ spl51_29
| ~ spl51_44 ),
inference(resolution,[],[f259,f324]) ).
fof(f324,plain,
( ! [X4] :
( q(sK19(X4))
| q(X4) )
| ~ spl51_44 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f323,plain,
( spl51_44
<=> ! [X4] :
( q(X4)
| q(sK19(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_44])]) ).
fof(f553,plain,
( ~ spl51_29
| ~ spl51_31 ),
inference(avatar_contradiction_clause,[],[f543]) ).
fof(f543,plain,
( $false
| ~ spl51_29
| ~ spl51_31 ),
inference(resolution,[],[f259,f268]) ).
fof(f268,plain,
( q(sK12)
| ~ spl51_31 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f266,plain,
( spl51_31
<=> q(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_31])]) ).
fof(f549,plain,
( ~ spl51_29
| ~ spl51_54 ),
inference(avatar_contradiction_clause,[],[f542]) ).
fof(f542,plain,
( $false
| ~ spl51_29
| ~ spl51_54 ),
inference(resolution,[],[f259,f380]) ).
fof(f380,plain,
( q(sK6)
| ~ spl51_54 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f378,plain,
( spl51_54
<=> q(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_54])]) ).
fof(f537,plain,
( ~ spl51_15
| ~ spl51_29 ),
inference(avatar_contradiction_clause,[],[f536]) ).
fof(f536,plain,
( $false
| ~ spl51_15
| ~ spl51_29 ),
inference(subsumption_resolution,[],[f259,f201]) ).
fof(f533,plain,
( ~ spl51_39
| ~ spl51_64 ),
inference(avatar_contradiction_clause,[],[f532]) ).
fof(f532,plain,
( $false
| ~ spl51_39
| ~ spl51_64 ),
inference(subsumption_resolution,[],[f531,f302]) ).
fof(f531,plain,
( ! [X22] : s(X22)
| ~ spl51_39
| ~ spl51_64 ),
inference(subsumption_resolution,[],[f436,f302]) ).
fof(f436,plain,
( ! [X22] :
( s(X22)
| s(sK48(X22)) )
| ~ spl51_64 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f435,plain,
( spl51_64
<=> ! [X22] :
( s(X22)
| s(sK48(X22)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_64])]) ).
fof(f530,plain,
( ~ spl51_36
| ~ spl51_52 ),
inference(avatar_contradiction_clause,[],[f529]) ).
fof(f529,plain,
( $false
| ~ spl51_36
| ~ spl51_52 ),
inference(subsumption_resolution,[],[f528,f289]) ).
fof(f528,plain,
( ! [X0] : r(sK13(X0))
| ~ spl51_36
| ~ spl51_52 ),
inference(subsumption_resolution,[],[f368,f289]) ).
fof(f368,plain,
( ! [X0] :
( r(sK13(X0))
| r(X0) )
| ~ spl51_52 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f367,plain,
( spl51_52
<=> ! [X0] :
( r(sK13(X0))
| r(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_52])]) ).
fof(f526,plain,
( ~ spl51_13
| ~ spl51_34 ),
inference(avatar_contradiction_clause,[],[f525]) ).
fof(f525,plain,
( $false
| ~ spl51_13
| ~ spl51_34 ),
inference(subsumption_resolution,[],[f524,f193]) ).
fof(f524,plain,
( ! [X0] : ~ p(X0)
| ~ spl51_13
| ~ spl51_34 ),
inference(resolution,[],[f193,f281]) ).
fof(f281,plain,
( ! [X0] :
( ~ p(sK49(X0))
| ~ p(X0) )
| ~ spl51_34 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f280,plain,
( spl51_34
<=> ! [X0] :
( ~ p(X0)
| ~ p(sK49(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_34])]) ).
fof(f523,plain,
( ~ spl51_19
| ~ spl51_39 ),
inference(avatar_contradiction_clause,[],[f522]) ).
fof(f522,plain,
( $false
| ~ spl51_19
| ~ spl51_39 ),
inference(subsumption_resolution,[],[f515,f302]) ).
fof(f515,plain,
( ! [X0] : s(X0)
| ~ spl51_19
| ~ spl51_39 ),
inference(resolution,[],[f302,f217]) ).
fof(f217,plain,
( ! [X4] :
( s(sK39(X4))
| s(X4) )
| ~ spl51_19 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f216,plain,
( spl51_19
<=> ! [X4] :
( s(sK39(X4))
| s(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_19])]) ).
fof(f521,plain,
( ~ spl51_10
| ~ spl51_39 ),
inference(avatar_contradiction_clause,[],[f514]) ).
fof(f514,plain,
( $false
| ~ spl51_10
| ~ spl51_39 ),
inference(resolution,[],[f302,f181]) ).
fof(f181,plain,
( s(sK35)
| ~ spl51_10 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f179,plain,
( spl51_10
<=> s(sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_10])]) ).
fof(f519,plain,
( ~ spl51_14
| ~ spl51_39 ),
inference(avatar_contradiction_clause,[],[f513]) ).
fof(f513,plain,
( $false
| ~ spl51_14
| ~ spl51_39 ),
inference(resolution,[],[f302,f197]) ).
fof(f197,plain,
( s(sK34)
| ~ spl51_14 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f195,plain,
( spl51_14
<=> s(sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_14])]) ).
fof(f510,plain,
( ~ spl51_36
| ~ spl51_47 ),
inference(avatar_contradiction_clause,[],[f509]) ).
fof(f509,plain,
( $false
| ~ spl51_36
| ~ spl51_47 ),
inference(subsumption_resolution,[],[f339,f289]) ).
fof(f339,plain,
( r(sK20)
| ~ spl51_47 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f337,plain,
( spl51_47
<=> r(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_47])]) ).
fof(f508,plain,
( ~ spl51_7
| spl51_46 ),
inference(avatar_contradiction_clause,[],[f507]) ).
fof(f507,plain,
( $false
| ~ spl51_7
| spl51_46 ),
inference(subsumption_resolution,[],[f335,f168]) ).
fof(f335,plain,
( ~ s(sK21)
| spl51_46 ),
inference(avatar_component_clause,[],[f333]) ).
fof(f333,plain,
( spl51_46
<=> s(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_46])]) ).
fof(f506,plain,
( ~ spl51_32
| ~ spl51_36 ),
inference(avatar_contradiction_clause,[],[f505]) ).
fof(f505,plain,
( $false
| ~ spl51_32
| ~ spl51_36 ),
inference(subsumption_resolution,[],[f274,f289]) ).
fof(f274,plain,
( r(sK18)
| ~ spl51_32 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f272,plain,
( spl51_32
<=> r(sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_32])]) ).
fof(f504,plain,
( ~ spl51_15
| ~ spl51_33 ),
inference(avatar_contradiction_clause,[],[f503]) ).
fof(f503,plain,
( $false
| ~ spl51_15
| ~ spl51_33 ),
inference(subsumption_resolution,[],[f502,f201]) ).
fof(f502,plain,
( ! [X4] : ~ q(sK19(X4))
| ~ spl51_15
| ~ spl51_33 ),
inference(subsumption_resolution,[],[f277,f201]) ).
fof(f277,plain,
( ! [X4] :
( ~ q(sK19(X4))
| ~ q(X4) )
| ~ spl51_33 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f276,plain,
( spl51_33
<=> ! [X4] :
( ~ q(X4)
| ~ q(sK19(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_33])]) ).
fof(f501,plain,
( ~ spl51_27
| spl51_42 ),
inference(avatar_contradiction_clause,[],[f500]) ).
fof(f500,plain,
( $false
| ~ spl51_27
| spl51_42 ),
inference(subsumption_resolution,[],[f316,f250]) ).
fof(f316,plain,
( ~ r(sK10)
| spl51_42 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f314,plain,
( spl51_42
<=> r(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_42])]) ).
fof(f499,plain,
( ~ spl51_27
| ~ spl51_51 ),
inference(avatar_contradiction_clause,[],[f498]) ).
fof(f498,plain,
( $false
| ~ spl51_27
| ~ spl51_51 ),
inference(subsumption_resolution,[],[f497,f250]) ).
fof(f497,plain,
( ! [X0] : ~ r(X0)
| ~ spl51_27
| ~ spl51_51 ),
inference(subsumption_resolution,[],[f360,f250]) ).
fof(f360,plain,
( ! [X0] :
( ~ r(sK13(X0))
| ~ r(X0) )
| ~ spl51_51 ),
inference(avatar_component_clause,[],[f359]) ).
fof(f359,plain,
( spl51_51
<=> ! [X0] :
( ~ r(sK13(X0))
| ~ r(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_51])]) ).
fof(f496,plain,
( ~ spl51_27
| spl51_49 ),
inference(avatar_contradiction_clause,[],[f495]) ).
fof(f495,plain,
( $false
| ~ spl51_27
| spl51_49 ),
inference(subsumption_resolution,[],[f350,f250]) ).
fof(f350,plain,
( ~ r(sK11)
| spl51_49 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f348,plain,
( spl51_49
<=> r(sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_49])]) ).
fof(f492,plain,
( ~ spl51_15
| spl51_41 ),
inference(avatar_contradiction_clause,[],[f491]) ).
fof(f491,plain,
( $false
| ~ spl51_15
| spl51_41 ),
inference(resolution,[],[f201,f311]) ).
fof(f311,plain,
( ~ q(sK37)
| spl51_41 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f309,plain,
( spl51_41
<=> q(sK37) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_41])]) ).
fof(f489,plain,
( ~ spl51_16
| ~ spl51_36 ),
inference(avatar_contradiction_clause,[],[f488]) ).
fof(f488,plain,
( $false
| ~ spl51_16
| ~ spl51_36 ),
inference(subsumption_resolution,[],[f205,f289]) ).
fof(f205,plain,
( r(sK25)
| ~ spl51_16 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f203,plain,
( spl51_16
<=> r(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_16])]) ).
fof(f487,plain,
( ~ spl51_6
| ~ spl51_21 ),
inference(avatar_contradiction_clause,[],[f486]) ).
fof(f486,plain,
( $false
| ~ spl51_6
| ~ spl51_21 ),
inference(subsumption_resolution,[],[f226,f165]) ).
fof(f226,plain,
( p(sK40)
| ~ spl51_21 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f224,plain,
( spl51_21
<=> p(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_21])]) ).
fof(f485,plain,
( ~ spl51_7
| ~ spl51_40 ),
inference(avatar_contradiction_clause,[],[f484]) ).
fof(f484,plain,
( $false
| ~ spl51_7
| ~ spl51_40 ),
inference(subsumption_resolution,[],[f483,f168]) ).
fof(f483,plain,
( ! [X4] : ~ s(X4)
| ~ spl51_7
| ~ spl51_40 ),
inference(subsumption_resolution,[],[f307,f168]) ).
fof(f307,plain,
( ! [X4] :
( ~ s(sK39(X4))
| ~ s(X4) )
| ~ spl51_40 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f306,plain,
( spl51_40
<=> ! [X4] :
( ~ s(sK39(X4))
| ~ s(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_40])]) ).
fof(f482,plain,
( ~ spl51_6
| ~ spl51_18 ),
inference(avatar_contradiction_clause,[],[f481]) ).
fof(f481,plain,
( $false
| ~ spl51_6
| ~ spl51_18 ),
inference(subsumption_resolution,[],[f214,f165]) ).
fof(f214,plain,
( p(sK38)
| ~ spl51_18 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f212,plain,
( spl51_18
<=> p(sK38) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_18])]) ).
fof(f478,plain,
( ~ spl51_13
| spl51_59 ),
inference(avatar_contradiction_clause,[],[f477]) ).
fof(f477,plain,
( $false
| ~ spl51_13
| spl51_59 ),
inference(subsumption_resolution,[],[f410,f193]) ).
fof(f410,plain,
( ~ p(sK33)
| spl51_59 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f408,plain,
( spl51_59
<=> p(sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_59])]) ).
fof(f476,plain,
( ~ spl51_4
| ~ spl51_15 ),
inference(avatar_contradiction_clause,[],[f475]) ).
fof(f475,plain,
( $false
| ~ spl51_4
| ~ spl51_15 ),
inference(subsumption_resolution,[],[f474,f201]) ).
fof(f474,plain,
( ! [X22] : ~ q(X22)
| ~ spl51_4
| ~ spl51_15 ),
inference(subsumption_resolution,[],[f157,f201]) ).
fof(f157,plain,
( ! [X22] :
( ~ q(X22)
| ~ q(sK28(X22)) )
| ~ spl51_4 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f156,plain,
( spl51_4
<=> ! [X22] :
( ~ q(X22)
| ~ q(sK28(X22)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_4])]) ).
fof(f473,plain,
( ~ spl51_2
| ~ spl51_36 ),
inference(avatar_contradiction_clause,[],[f472]) ).
fof(f472,plain,
( $false
| ~ spl51_2
| ~ spl51_36 ),
inference(resolution,[],[f289,f150]) ).
fof(f150,plain,
( r(sK26)
| ~ spl51_2 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f148,plain,
( spl51_2
<=> r(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_2])]) ).
fof(f471,plain,
( ~ spl51_27
| ~ spl51_36 ),
inference(avatar_contradiction_clause,[],[f470]) ).
fof(f470,plain,
( $false
| ~ spl51_27
| ~ spl51_36 ),
inference(subsumption_resolution,[],[f289,f250]) ).
fof(f469,plain,
( ~ spl51_7
| spl51_37 ),
inference(avatar_contradiction_clause,[],[f468]) ).
fof(f468,plain,
( $false
| ~ spl51_7
| spl51_37 ),
inference(subsumption_resolution,[],[f294,f168]) ).
fof(f294,plain,
( ~ s(sK24)
| spl51_37 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f292,plain,
( spl51_37
<=> s(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_37])]) ).
fof(f467,plain,
( ~ spl51_15
| spl51_23 ),
inference(avatar_contradiction_clause,[],[f466]) ).
fof(f466,plain,
( $false
| ~ spl51_15
| spl51_23 ),
inference(subsumption_resolution,[],[f235,f201]) ).
fof(f235,plain,
( ~ q(sK47)
| spl51_23 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f233,plain,
( spl51_23
<=> q(sK47) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_23])]) ).
fof(f465,plain,
( spl51_12
| ~ spl51_13 ),
inference(avatar_contradiction_clause,[],[f464]) ).
fof(f464,plain,
( $false
| spl51_12
| ~ spl51_13 ),
inference(resolution,[],[f193,f189]) ).
fof(f189,plain,
( ~ p(sK36)
| spl51_12 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f187,plain,
( spl51_12
<=> p(sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_12])]) ).
fof(f463,plain,
( ~ spl51_7
| ~ spl51_25 ),
inference(avatar_contradiction_clause,[],[f462]) ).
fof(f462,plain,
( $false
| ~ spl51_7
| ~ spl51_25 ),
inference(subsumption_resolution,[],[f461,f168]) ).
fof(f461,plain,
( ! [X22] : ~ s(sK48(X22))
| ~ spl51_7
| ~ spl51_25 ),
inference(subsumption_resolution,[],[f242,f168]) ).
fof(f242,plain,
( ! [X22] :
( ~ s(sK48(X22))
| ~ s(X22) )
| ~ spl51_25 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f241,plain,
( spl51_25
<=> ! [X22] :
( ~ s(X22)
| ~ s(sK48(X22)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_25])]) ).
fof(f460,plain,
( ~ spl51_6
| ~ spl51_13 ),
inference(avatar_contradiction_clause,[],[f459]) ).
fof(f459,plain,
( $false
| ~ spl51_6
| ~ spl51_13 ),
inference(subsumption_resolution,[],[f193,f165]) ).
fof(f458,plain,
( ~ spl51_7
| ~ spl51_39 ),
inference(avatar_contradiction_clause,[],[f457]) ).
fof(f457,plain,
( $false
| ~ spl51_7
| ~ spl51_39 ),
inference(subsumption_resolution,[],[f302,f168]) ).
fof(f456,plain,
( ~ spl51_15
| spl51_22 ),
inference(avatar_contradiction_clause,[],[f455]) ).
fof(f455,plain,
( $false
| ~ spl51_15
| spl51_22 ),
inference(subsumption_resolution,[],[f230,f201]) ).
fof(f230,plain,
( ~ q(sK41)
| spl51_22 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f228,plain,
( spl51_22
<=> q(sK41) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_22])]) ).
fof(f454,plain,
( spl51_1
| ~ spl51_7 ),
inference(avatar_contradiction_clause,[],[f453]) ).
fof(f453,plain,
( $false
| spl51_1
| ~ spl51_7 ),
inference(resolution,[],[f168,f146]) ).
fof(f146,plain,
( ~ s(sK27)
| spl51_1 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f144,plain,
( spl51_1
<=> s(sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_1])]) ).
fof(f452,plain,
( spl51_57
| spl51_6
| spl51_30 ),
inference(avatar_split_clause,[],[f140,f261,f164,f396]) ).
fof(f396,plain,
( spl51_57
<=> p(sK50) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_57])]) ).
fof(f261,plain,
( spl51_30
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_30])]) ).
fof(f140,plain,
! [X3] :
( sP4
| ~ p(X3)
| p(sK50) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
( ( ! [X0] :
( ( ~ p(sK49(X0))
| ~ p(X0) )
& ( p(sK49(X0))
| p(X0) ) )
| ~ sP4 )
& ( ! [X3] :
( ( p(sK50)
| ~ p(X3) )
& ( p(X3)
| ~ p(sK50) ) )
| sP4 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK49,sK50])],[f71,f73,f72]) ).
fof(f72,plain,
! [X0] :
( ? [X1] :
( ( ~ p(X1)
| ~ p(X0) )
& ( p(X1)
| p(X0) ) )
=> ( ( ~ p(sK49(X0))
| ~ p(X0) )
& ( p(sK49(X0))
| p(X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
( ? [X2] :
! [X3] :
( ( p(X2)
| ~ p(X3) )
& ( p(X3)
| ~ p(X2) ) )
=> ! [X3] :
( ( p(sK50)
| ~ p(X3) )
& ( p(X3)
| ~ p(sK50) ) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
( ( ! [X0] :
? [X1] :
( ( ~ p(X1)
| ~ p(X0) )
& ( p(X1)
| p(X0) ) )
| ~ sP4 )
& ( ? [X2] :
! [X3] :
( ( p(X2)
| ~ p(X3) )
& ( p(X3)
| ~ p(X2) ) )
| sP4 ) ),
inference(rectify,[],[f70]) ).
fof(f70,plain,
( ( ! [X0] :
? [X1] :
( ( ~ p(X1)
| ~ p(X0) )
& ( p(X1)
| p(X0) ) )
| ~ sP4 )
& ( ? [X0] :
! [X1] :
( ( p(X0)
| ~ p(X1) )
& ( p(X1)
| ~ p(X0) ) )
| sP4 ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,plain,
( sP4
<~> ? [X0] :
! [X1] :
( p(X0)
<=> p(X1) ) ),
inference(definition_folding,[],[f4,f9,f8,f7,f6,f5]) ).
fof(f5,plain,
( sP0
<=> ( ? [X12] :
! [X13] :
( s(X13)
<=> s(X12) )
<=> ( ! [X11] : q(X11)
<=> ? [X10] : p(X10) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f6,plain,
( sP1
<=> ( sP0
<=> ( ! [X8] : p(X8)
<=> ? [X9] : s(X9) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f7,plain,
( sP2
<=> ( ? [X4] :
! [X5] :
( q(X5)
<=> q(X4) )
<=> ( ! [X3] : s(X3)
<=> ? [X2] : r(X2) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f8,plain,
( sP3
<=> ( sP1
<=> ? [X6] :
! [X7] :
( r(X7)
<=> r(X6) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f9,plain,
( sP4
<=> ( ( ? [X15] : q(X15)
<=> ! [X14] : r(X14) )
<=> ( sP2
<=> sP3 ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f4,plain,
( ( ( ? [X15] : q(X15)
<=> ! [X14] : r(X14) )
<=> ( ( ? [X4] :
! [X5] :
( q(X5)
<=> q(X4) )
<=> ( ! [X3] : s(X3)
<=> ? [X2] : r(X2) ) )
<=> ( ( ( ? [X12] :
! [X13] :
( s(X13)
<=> s(X12) )
<=> ( ! [X11] : q(X11)
<=> ? [X10] : p(X10) ) )
<=> ( ! [X8] : p(X8)
<=> ? [X9] : s(X9) ) )
<=> ? [X6] :
! [X7] :
( r(X7)
<=> r(X6) ) ) ) )
<~> ? [X0] :
! [X1] :
( p(X0)
<=> p(X1) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ( ( ? [X15] : q(X15)
<=> ! [X14] : r(X14) )
<=> ( ( ? [X4] :
! [X5] :
( q(X5)
<=> q(X4) )
<=> ( ! [X3] : s(X3)
<=> ? [X2] : r(X2) ) )
<=> ( ( ( ? [X12] :
! [X13] :
( s(X13)
<=> s(X12) )
<=> ( ! [X11] : q(X11)
<=> ? [X10] : p(X10) ) )
<=> ( ! [X8] : p(X8)
<=> ? [X9] : s(X9) ) )
<=> ? [X6] :
! [X7] :
( r(X7)
<=> r(X6) ) ) ) )
<=> ? [X0] :
! [X1] :
( p(X0)
<=> p(X1) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ? [X0] :
! [X1] :
( p(X0)
<=> p(X1) )
<=> ( ( ( ( ? [X0] : r(X0)
<=> ! [X1] : s(X1) )
<=> ? [X0] :
! [X1] :
( q(X0)
<=> q(X1) ) )
<=> ( ? [X0] :
! [X1] :
( r(X0)
<=> r(X1) )
<=> ( ( ! [X1] : p(X1)
<=> ? [X0] : s(X0) )
<=> ( ( ? [X0] : p(X0)
<=> ! [X1] : q(X1) )
<=> ? [X0] :
! [X1] :
( s(X0)
<=> s(X1) ) ) ) ) )
<=> ( ! [X1] : r(X1)
<=> ? [X0] : q(X0) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ? [X0] :
! [X1] :
( p(X0)
<=> p(X1) )
<=> ( ( ( ( ? [X0] : r(X0)
<=> ! [X1] : s(X1) )
<=> ? [X0] :
! [X1] :
( q(X0)
<=> q(X1) ) )
<=> ( ? [X0] :
! [X1] :
( r(X0)
<=> r(X1) )
<=> ( ( ! [X1] : p(X1)
<=> ? [X0] : s(X0) )
<=> ( ( ? [X0] : p(X0)
<=> ! [X1] : q(X1) )
<=> ? [X0] :
! [X1] :
( s(X0)
<=> s(X1) ) ) ) ) )
<=> ( ! [X1] : r(X1)
<=> ? [X0] : q(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm138) ).
fof(f451,plain,
( ~ spl51_63
| spl51_28
| ~ spl51_3
| spl51_62
| spl51_30 ),
inference(avatar_split_clause,[],[f84,f261,f426,f152,f252,f430]) ).
fof(f252,plain,
( spl51_28
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_28])]) ).
fof(f152,plain,
( spl51_3
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_3])]) ).
fof(f84,plain,
( sP4
| q(sK7)
| ~ sP2
| sP3
| ~ r(sK8) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
( ( sP4
| ( ( ( ( ~ sP3
| ~ sP2 )
& ( sP3
| sP2 ) )
| ( ( ~ r(sK5)
| ! [X1] : ~ q(X1) )
& ( ! [X2] : r(X2)
| q(sK6) ) ) )
& ( ( ( sP2
| ~ sP3 )
& ( sP3
| ~ sP2 ) )
| ( ( q(sK7)
| ~ r(sK8) )
& ( ! [X6] : r(X6)
| ! [X7] : ~ q(X7) ) ) ) ) )
& ( ( ( ( ( q(sK9)
| ~ r(sK10) )
& ( ! [X10] : r(X10)
| ! [X11] : ~ q(X11) ) )
| ( ( ~ sP3
| ~ sP2 )
& ( sP3
| sP2 ) ) )
& ( ( ( sP2
| ~ sP3 )
& ( sP3
| ~ sP2 ) )
| ( ( ~ r(sK11)
| ! [X13] : ~ q(X13) )
& ( ! [X14] : r(X14)
| q(sK12) ) ) ) )
| ~ sP4 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12])],[f12,f20,f19,f18,f17,f16,f15,f14,f13]) ).
fof(f13,plain,
( ? [X0] : ~ r(X0)
=> ~ r(sK5) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
( ? [X3] : q(X3)
=> q(sK6) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
( ? [X4] : q(X4)
=> q(sK7) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
( ? [X5] : ~ r(X5)
=> ~ r(sK8) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
( ? [X8] : q(X8)
=> q(sK9) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
( ? [X9] : ~ r(X9)
=> ~ r(sK10) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
( ? [X12] : ~ r(X12)
=> ~ r(sK11) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
( ? [X15] : q(X15)
=> q(sK12) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
( ( sP4
| ( ( ( ( ~ sP3
| ~ sP2 )
& ( sP3
| sP2 ) )
| ( ( ? [X0] : ~ r(X0)
| ! [X1] : ~ q(X1) )
& ( ! [X2] : r(X2)
| ? [X3] : q(X3) ) ) )
& ( ( ( sP2
| ~ sP3 )
& ( sP3
| ~ sP2 ) )
| ( ( ? [X4] : q(X4)
| ? [X5] : ~ r(X5) )
& ( ! [X6] : r(X6)
| ! [X7] : ~ q(X7) ) ) ) ) )
& ( ( ( ( ( ? [X8] : q(X8)
| ? [X9] : ~ r(X9) )
& ( ! [X10] : r(X10)
| ! [X11] : ~ q(X11) ) )
| ( ( ~ sP3
| ~ sP2 )
& ( sP3
| sP2 ) ) )
& ( ( ( sP2
| ~ sP3 )
& ( sP3
| ~ sP2 ) )
| ( ( ? [X12] : ~ r(X12)
| ! [X13] : ~ q(X13) )
& ( ! [X14] : r(X14)
| ? [X15] : q(X15) ) ) ) )
| ~ sP4 ) ),
inference(rectify,[],[f11]) ).
fof(f11,plain,
( ( sP4
| ( ( ( ( ~ sP3
| ~ sP2 )
& ( sP3
| sP2 ) )
| ( ( ? [X14] : ~ r(X14)
| ! [X15] : ~ q(X15) )
& ( ! [X14] : r(X14)
| ? [X15] : q(X15) ) ) )
& ( ( ( sP2
| ~ sP3 )
& ( sP3
| ~ sP2 ) )
| ( ( ? [X15] : q(X15)
| ? [X14] : ~ r(X14) )
& ( ! [X14] : r(X14)
| ! [X15] : ~ q(X15) ) ) ) ) )
& ( ( ( ( ( ? [X15] : q(X15)
| ? [X14] : ~ r(X14) )
& ( ! [X14] : r(X14)
| ! [X15] : ~ q(X15) ) )
| ( ( ~ sP3
| ~ sP2 )
& ( sP3
| sP2 ) ) )
& ( ( ( sP2
| ~ sP3 )
& ( sP3
| ~ sP2 ) )
| ( ( ? [X14] : ~ r(X14)
| ! [X15] : ~ q(X15) )
& ( ! [X14] : r(X14)
| ? [X15] : q(X15) ) ) ) )
| ~ sP4 ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f450,plain,
( spl51_6
| spl51_8
| ~ spl51_9
| spl51_39
| ~ spl51_5 ),
inference(avatar_split_clause,[],[f128,f160,f301,f174,f170,f164]) ).
fof(f170,plain,
( spl51_8
<=> s(sK43) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_8])]) ).
fof(f160,plain,
( spl51_5
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_5])]) ).
fof(f128,plain,
! [X14,X13] :
( ~ sP0
| ~ s(X13)
| ~ q(sK44)
| s(sK43)
| ~ p(X14) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
( ( sP0
| ( ( ( ( ! [X0] : ~ p(X0)
| ~ q(sK37) )
& ( p(sK38)
| ! [X3] : q(X3) ) )
| ! [X4] :
( ( ~ s(X4)
| ~ s(sK39(X4)) )
& ( s(X4)
| s(sK39(X4)) ) ) )
& ( ( ( ! [X6] : q(X6)
| ! [X7] : ~ p(X7) )
& ( p(sK40)
| ~ q(sK41) ) )
| ! [X11] :
( ( s(X11)
| ~ s(sK42) )
& ( s(sK42)
| ~ s(X11) ) ) ) ) )
& ( ( ( ! [X13] :
( ( s(X13)
| ~ s(sK43) )
& ( s(sK43)
| ~ s(X13) ) )
| ( ( ! [X14] : ~ p(X14)
| ~ q(sK44) )
& ( p(sK45)
| ! [X17] : q(X17) ) ) )
& ( ( ( ! [X18] : q(X18)
| ! [X19] : ~ p(X19) )
& ( p(sK46)
| ~ q(sK47) ) )
| ! [X22] :
( ( ~ s(X22)
| ~ s(sK48(X22)) )
& ( s(X22)
| s(sK48(X22)) ) ) ) )
| ~ sP0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK37,sK38,sK39,sK40,sK41,sK42,sK43,sK44,sK45,sK46,sK47,sK48])],[f56,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57]) ).
fof(f57,plain,
( ? [X1] : ~ q(X1)
=> ~ q(sK37) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
( ? [X2] : p(X2)
=> p(sK38) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
! [X4] :
( ? [X5] :
( ( ~ s(X4)
| ~ s(X5) )
& ( s(X4)
| s(X5) ) )
=> ( ( ~ s(X4)
| ~ s(sK39(X4)) )
& ( s(X4)
| s(sK39(X4)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
( ? [X8] : p(X8)
=> p(sK40) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
( ? [X9] : ~ q(X9)
=> ~ q(sK41) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
( ? [X10] :
! [X11] :
( ( s(X11)
| ~ s(X10) )
& ( s(X10)
| ~ s(X11) ) )
=> ! [X11] :
( ( s(X11)
| ~ s(sK42) )
& ( s(sK42)
| ~ s(X11) ) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
( ? [X12] :
! [X13] :
( ( s(X13)
| ~ s(X12) )
& ( s(X12)
| ~ s(X13) ) )
=> ! [X13] :
( ( s(X13)
| ~ s(sK43) )
& ( s(sK43)
| ~ s(X13) ) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
( ? [X15] : ~ q(X15)
=> ~ q(sK44) ),
introduced(choice_axiom,[]) ).
fof(f65,plain,
( ? [X16] : p(X16)
=> p(sK45) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
( ? [X20] : p(X20)
=> p(sK46) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
( ? [X21] : ~ q(X21)
=> ~ q(sK47) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
! [X22] :
( ? [X23] :
( ( ~ s(X22)
| ~ s(X23) )
& ( s(X22)
| s(X23) ) )
=> ( ( ~ s(X22)
| ~ s(sK48(X22)) )
& ( s(X22)
| s(sK48(X22)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
( ( sP0
| ( ( ( ( ! [X0] : ~ p(X0)
| ? [X1] : ~ q(X1) )
& ( ? [X2] : p(X2)
| ! [X3] : q(X3) ) )
| ! [X4] :
? [X5] :
( ( ~ s(X4)
| ~ s(X5) )
& ( s(X4)
| s(X5) ) ) )
& ( ( ( ! [X6] : q(X6)
| ! [X7] : ~ p(X7) )
& ( ? [X8] : p(X8)
| ? [X9] : ~ q(X9) ) )
| ? [X10] :
! [X11] :
( ( s(X11)
| ~ s(X10) )
& ( s(X10)
| ~ s(X11) ) ) ) ) )
& ( ( ( ? [X12] :
! [X13] :
( ( s(X13)
| ~ s(X12) )
& ( s(X12)
| ~ s(X13) ) )
| ( ( ! [X14] : ~ p(X14)
| ? [X15] : ~ q(X15) )
& ( ? [X16] : p(X16)
| ! [X17] : q(X17) ) ) )
& ( ( ( ! [X18] : q(X18)
| ! [X19] : ~ p(X19) )
& ( ? [X20] : p(X20)
| ? [X21] : ~ q(X21) ) )
| ! [X22] :
? [X23] :
( ( ~ s(X22)
| ~ s(X23) )
& ( s(X22)
| s(X23) ) ) ) )
| ~ sP0 ) ),
inference(rectify,[],[f55]) ).
fof(f55,plain,
( ( sP0
| ( ( ( ( ! [X10] : ~ p(X10)
| ? [X11] : ~ q(X11) )
& ( ? [X10] : p(X10)
| ! [X11] : q(X11) ) )
| ! [X12] :
? [X13] :
( ( ~ s(X12)
| ~ s(X13) )
& ( s(X12)
| s(X13) ) ) )
& ( ( ( ! [X11] : q(X11)
| ! [X10] : ~ p(X10) )
& ( ? [X10] : p(X10)
| ? [X11] : ~ q(X11) ) )
| ? [X12] :
! [X13] :
( ( s(X13)
| ~ s(X12) )
& ( s(X12)
| ~ s(X13) ) ) ) ) )
& ( ( ( ? [X12] :
! [X13] :
( ( s(X13)
| ~ s(X12) )
& ( s(X12)
| ~ s(X13) ) )
| ( ( ! [X10] : ~ p(X10)
| ? [X11] : ~ q(X11) )
& ( ? [X10] : p(X10)
| ! [X11] : q(X11) ) ) )
& ( ( ( ! [X11] : q(X11)
| ! [X10] : ~ p(X10) )
& ( ? [X10] : p(X10)
| ? [X11] : ~ q(X11) ) )
| ! [X12] :
? [X13] :
( ( ~ s(X12)
| ~ s(X13) )
& ( s(X12)
| s(X13) ) ) ) )
| ~ sP0 ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f449,plain,
( spl51_5
| spl51_65
| spl51_11
| ~ spl51_66 ),
inference(avatar_split_clause,[],[f119,f446,f183,f442,f160]) ).
fof(f183,plain,
( spl51_11
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_11])]) ).
fof(f119,plain,
( ~ p(sK32)
| sP1
| s(sK31)
| sP0 ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
( ( sP1
| ( ( ( ( ! [X0] : ~ s(X0)
| ~ p(sK29) )
& ( s(sK30)
| ! [X3] : p(X3) ) )
| ~ sP0 )
& ( ( ( ! [X4] : p(X4)
| ! [X5] : ~ s(X5) )
& ( s(sK31)
| ~ p(sK32) ) )
| sP0 ) ) )
& ( ( ( sP0
| ( ( ! [X8] : ~ s(X8)
| ~ p(sK33) )
& ( s(sK34)
| ! [X11] : p(X11) ) ) )
& ( ( ( ! [X12] : p(X12)
| ! [X13] : ~ s(X13) )
& ( s(sK35)
| ~ p(sK36) ) )
| ~ sP0 ) )
| ~ sP1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29,sK30,sK31,sK32,sK33,sK34,sK35,sK36])],[f45,f53,f52,f51,f50,f49,f48,f47,f46]) ).
fof(f46,plain,
( ? [X1] : ~ p(X1)
=> ~ p(sK29) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
( ? [X2] : s(X2)
=> s(sK30) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
( ? [X6] : s(X6)
=> s(sK31) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
( ? [X7] : ~ p(X7)
=> ~ p(sK32) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
( ? [X9] : ~ p(X9)
=> ~ p(sK33) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
( ? [X10] : s(X10)
=> s(sK34) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
( ? [X14] : s(X14)
=> s(sK35) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
( ? [X15] : ~ p(X15)
=> ~ p(sK36) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
( ( sP1
| ( ( ( ( ! [X0] : ~ s(X0)
| ? [X1] : ~ p(X1) )
& ( ? [X2] : s(X2)
| ! [X3] : p(X3) ) )
| ~ sP0 )
& ( ( ( ! [X4] : p(X4)
| ! [X5] : ~ s(X5) )
& ( ? [X6] : s(X6)
| ? [X7] : ~ p(X7) ) )
| sP0 ) ) )
& ( ( ( sP0
| ( ( ! [X8] : ~ s(X8)
| ? [X9] : ~ p(X9) )
& ( ? [X10] : s(X10)
| ! [X11] : p(X11) ) ) )
& ( ( ( ! [X12] : p(X12)
| ! [X13] : ~ s(X13) )
& ( ? [X14] : s(X14)
| ? [X15] : ~ p(X15) ) )
| ~ sP0 ) )
| ~ sP1 ) ),
inference(rectify,[],[f44]) ).
fof(f44,plain,
( ( sP1
| ( ( ( ( ! [X9] : ~ s(X9)
| ? [X8] : ~ p(X8) )
& ( ? [X9] : s(X9)
| ! [X8] : p(X8) ) )
| ~ sP0 )
& ( ( ( ! [X8] : p(X8)
| ! [X9] : ~ s(X9) )
& ( ? [X9] : s(X9)
| ? [X8] : ~ p(X8) ) )
| sP0 ) ) )
& ( ( ( sP0
| ( ( ! [X9] : ~ s(X9)
| ? [X8] : ~ p(X8) )
& ( ? [X9] : s(X9)
| ! [X8] : p(X8) ) ) )
& ( ( ( ! [X8] : p(X8)
| ! [X9] : ~ s(X9) )
& ( ? [X9] : s(X9)
| ? [X8] : ~ p(X8) ) )
| ~ sP0 ) )
| ~ sP1 ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f440,plain,
( ~ spl51_5
| spl51_6
| spl51_15
| spl51_64 ),
inference(avatar_split_clause,[],[f125,f435,f200,f164,f160]) ).
fof(f125,plain,
! [X18,X19,X22] :
( s(X22)
| q(X18)
| ~ p(X19)
| ~ sP0
| s(sK48(X22)) ),
inference(cnf_transformation,[],[f69]) ).
fof(f439,plain,
( ~ spl51_3
| spl51_36
| spl51_56
| spl51_7 ),
inference(avatar_split_clause,[],[f101,f167,f391,f288,f152]) ).
fof(f101,plain,
! [X18,X19,X22] :
( s(X18)
| q(X22)
| q(sK28(X22))
| ~ r(X19)
| ~ sP2 ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( ( sP2
| ( ( ( ( ! [X0] : ~ r(X0)
| ~ s(sK17) )
& ( r(sK18)
| ! [X3] : s(X3) ) )
| ! [X4] :
( ( ~ q(X4)
| ~ q(sK19(X4)) )
& ( q(X4)
| q(sK19(X4)) ) ) )
& ( ( ( ! [X6] : s(X6)
| ! [X7] : ~ r(X7) )
& ( r(sK20)
| ~ s(sK21) ) )
| ! [X11] :
( ( q(X11)
| ~ q(sK22) )
& ( q(sK22)
| ~ q(X11) ) ) ) ) )
& ( ( ( ! [X13] :
( ( q(X13)
| ~ q(sK23) )
& ( q(sK23)
| ~ q(X13) ) )
| ( ( ! [X14] : ~ r(X14)
| ~ s(sK24) )
& ( r(sK25)
| ! [X17] : s(X17) ) ) )
& ( ( ( ! [X18] : s(X18)
| ! [X19] : ~ r(X19) )
& ( r(sK26)
| ~ s(sK27) ) )
| ! [X22] :
( ( ~ q(X22)
| ~ q(sK28(X22)) )
& ( q(X22)
| q(sK28(X22)) ) ) ) )
| ~ sP2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18,sK19,sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28])],[f30,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31]) ).
fof(f31,plain,
( ? [X1] : ~ s(X1)
=> ~ s(sK17) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
( ? [X2] : r(X2)
=> r(sK18) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
! [X4] :
( ? [X5] :
( ( ~ q(X4)
| ~ q(X5) )
& ( q(X4)
| q(X5) ) )
=> ( ( ~ q(X4)
| ~ q(sK19(X4)) )
& ( q(X4)
| q(sK19(X4)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
( ? [X8] : r(X8)
=> r(sK20) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
( ? [X9] : ~ s(X9)
=> ~ s(sK21) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
( ? [X10] :
! [X11] :
( ( q(X11)
| ~ q(X10) )
& ( q(X10)
| ~ q(X11) ) )
=> ! [X11] :
( ( q(X11)
| ~ q(sK22) )
& ( q(sK22)
| ~ q(X11) ) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
( ? [X12] :
! [X13] :
( ( q(X13)
| ~ q(X12) )
& ( q(X12)
| ~ q(X13) ) )
=> ! [X13] :
( ( q(X13)
| ~ q(sK23) )
& ( q(sK23)
| ~ q(X13) ) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
( ? [X15] : ~ s(X15)
=> ~ s(sK24) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
( ? [X16] : r(X16)
=> r(sK25) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
( ? [X20] : r(X20)
=> r(sK26) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
( ? [X21] : ~ s(X21)
=> ~ s(sK27) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
! [X22] :
( ? [X23] :
( ( ~ q(X22)
| ~ q(X23) )
& ( q(X22)
| q(X23) ) )
=> ( ( ~ q(X22)
| ~ q(sK28(X22)) )
& ( q(X22)
| q(sK28(X22)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
( ( sP2
| ( ( ( ( ! [X0] : ~ r(X0)
| ? [X1] : ~ s(X1) )
& ( ? [X2] : r(X2)
| ! [X3] : s(X3) ) )
| ! [X4] :
? [X5] :
( ( ~ q(X4)
| ~ q(X5) )
& ( q(X4)
| q(X5) ) ) )
& ( ( ( ! [X6] : s(X6)
| ! [X7] : ~ r(X7) )
& ( ? [X8] : r(X8)
| ? [X9] : ~ s(X9) ) )
| ? [X10] :
! [X11] :
( ( q(X11)
| ~ q(X10) )
& ( q(X10)
| ~ q(X11) ) ) ) ) )
& ( ( ( ? [X12] :
! [X13] :
( ( q(X13)
| ~ q(X12) )
& ( q(X12)
| ~ q(X13) ) )
| ( ( ! [X14] : ~ r(X14)
| ? [X15] : ~ s(X15) )
& ( ? [X16] : r(X16)
| ! [X17] : s(X17) ) ) )
& ( ( ( ! [X18] : s(X18)
| ! [X19] : ~ r(X19) )
& ( ? [X20] : r(X20)
| ? [X21] : ~ s(X21) ) )
| ! [X22] :
? [X23] :
( ( ~ q(X22)
| ~ q(X23) )
& ( q(X22)
| q(X23) ) ) ) )
| ~ sP2 ) ),
inference(rectify,[],[f29]) ).
fof(f29,plain,
( ( sP2
| ( ( ( ( ! [X2] : ~ r(X2)
| ? [X3] : ~ s(X3) )
& ( ? [X2] : r(X2)
| ! [X3] : s(X3) ) )
| ! [X4] :
? [X5] :
( ( ~ q(X4)
| ~ q(X5) )
& ( q(X4)
| q(X5) ) ) )
& ( ( ( ! [X3] : s(X3)
| ! [X2] : ~ r(X2) )
& ( ? [X2] : r(X2)
| ? [X3] : ~ s(X3) ) )
| ? [X4] :
! [X5] :
( ( q(X5)
| ~ q(X4) )
& ( q(X4)
| ~ q(X5) ) ) ) ) )
& ( ( ( ? [X4] :
! [X5] :
( ( q(X5)
| ~ q(X4) )
& ( q(X4)
| ~ q(X5) ) )
| ( ( ! [X2] : ~ r(X2)
| ? [X3] : ~ s(X3) )
& ( ? [X2] : r(X2)
| ! [X3] : s(X3) ) ) )
& ( ( ( ! [X3] : s(X3)
| ! [X2] : ~ r(X2) )
& ( ? [X2] : r(X2)
| ? [X3] : ~ s(X3) ) )
| ! [X4] :
? [X5] :
( ( ~ q(X4)
| ~ q(X5) )
& ( q(X4)
| q(X5) ) ) ) )
| ~ sP2 ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f438,plain,
( ~ spl51_53
| spl51_28
| spl51_29
| spl51_30
| spl51_3 ),
inference(avatar_split_clause,[],[f88,f152,f261,f258,f252,f371]) ).
fof(f88,plain,
! [X1] :
( sP2
| sP4
| ~ q(X1)
| sP3
| ~ r(sK5) ),
inference(cnf_transformation,[],[f21]) ).
fof(f437,plain,
( spl51_64
| spl51_24
| ~ spl51_5
| ~ spl51_23 ),
inference(avatar_split_clause,[],[f123,f233,f160,f237,f435]) ).
fof(f123,plain,
! [X22] :
( ~ q(sK47)
| ~ sP0
| p(sK46)
| s(X22)
| s(sK48(X22)) ),
inference(cnf_transformation,[],[f69]) ).
fof(f433,plain,
( spl51_62
| spl51_3
| ~ spl51_63
| ~ spl51_28
| spl51_30 ),
inference(avatar_split_clause,[],[f86,f261,f252,f430,f152,f426]) ).
fof(f86,plain,
( sP4
| ~ sP3
| ~ r(sK8)
| sP2
| q(sK7) ),
inference(cnf_transformation,[],[f21]) ).
fof(f424,plain,
( spl51_61
| spl51_11
| ~ spl51_28 ),
inference(avatar_split_clause,[],[f94,f252,f183,f422]) ).
fof(f94,plain,
! [X4] :
( ~ sP3
| sP1
| ~ r(X4)
| ~ r(sK15(X4)) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
( ( sP3
| ( ( ! [X0] :
( ( ~ r(X0)
| ~ r(sK13(X0)) )
& ( r(X0)
| r(sK13(X0)) ) )
| ~ sP1 )
& ( ! [X3] :
( ( r(X3)
| ~ r(sK14) )
& ( r(sK14)
| ~ r(X3) ) )
| sP1 ) ) )
& ( ( ( sP1
| ! [X4] :
( ( ~ r(X4)
| ~ r(sK15(X4)) )
& ( r(X4)
| r(sK15(X4)) ) ) )
& ( ! [X7] :
( ( r(X7)
| ~ r(sK16) )
& ( r(sK16)
| ~ r(X7) ) )
| ~ sP1 ) )
| ~ sP3 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16])],[f23,f27,f26,f25,f24]) ).
fof(f24,plain,
! [X0] :
( ? [X1] :
( ( ~ r(X0)
| ~ r(X1) )
& ( r(X0)
| r(X1) ) )
=> ( ( ~ r(X0)
| ~ r(sK13(X0)) )
& ( r(X0)
| r(sK13(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
( ? [X2] :
! [X3] :
( ( r(X3)
| ~ r(X2) )
& ( r(X2)
| ~ r(X3) ) )
=> ! [X3] :
( ( r(X3)
| ~ r(sK14) )
& ( r(sK14)
| ~ r(X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
! [X4] :
( ? [X5] :
( ( ~ r(X4)
| ~ r(X5) )
& ( r(X4)
| r(X5) ) )
=> ( ( ~ r(X4)
| ~ r(sK15(X4)) )
& ( r(X4)
| r(sK15(X4)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
( ? [X6] :
! [X7] :
( ( r(X7)
| ~ r(X6) )
& ( r(X6)
| ~ r(X7) ) )
=> ! [X7] :
( ( r(X7)
| ~ r(sK16) )
& ( r(sK16)
| ~ r(X7) ) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
( ( sP3
| ( ( ! [X0] :
? [X1] :
( ( ~ r(X0)
| ~ r(X1) )
& ( r(X0)
| r(X1) ) )
| ~ sP1 )
& ( ? [X2] :
! [X3] :
( ( r(X3)
| ~ r(X2) )
& ( r(X2)
| ~ r(X3) ) )
| sP1 ) ) )
& ( ( ( sP1
| ! [X4] :
? [X5] :
( ( ~ r(X4)
| ~ r(X5) )
& ( r(X4)
| r(X5) ) ) )
& ( ? [X6] :
! [X7] :
( ( r(X7)
| ~ r(X6) )
& ( r(X6)
| ~ r(X7) ) )
| ~ sP1 ) )
| ~ sP3 ) ),
inference(rectify,[],[f22]) ).
fof(f22,plain,
( ( sP3
| ( ( ! [X6] :
? [X7] :
( ( ~ r(X6)
| ~ r(X7) )
& ( r(X6)
| r(X7) ) )
| ~ sP1 )
& ( ? [X6] :
! [X7] :
( ( r(X7)
| ~ r(X6) )
& ( r(X6)
| ~ r(X7) ) )
| sP1 ) ) )
& ( ( ( sP1
| ! [X6] :
? [X7] :
( ( ~ r(X6)
| ~ r(X7) )
& ( r(X6)
| r(X7) ) ) )
& ( ? [X6] :
! [X7] :
( ( r(X7)
| ~ r(X6) )
& ( r(X6)
| ~ r(X7) ) )
| ~ sP1 ) )
| ~ sP3 ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f420,plain,
( spl51_7
| spl51_29
| spl51_17
| spl51_16
| ~ spl51_3 ),
inference(avatar_split_clause,[],[f103,f152,f203,f207,f258,f167]) ).
fof(f207,plain,
( spl51_17
<=> q(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_17])]) ).
fof(f103,plain,
! [X17,X13] :
( ~ sP2
| r(sK25)
| q(sK23)
| ~ q(X13)
| s(X17) ),
inference(cnf_transformation,[],[f43]) ).
fof(f419,plain,
( ~ spl51_5
| spl51_11
| spl51_13
| spl51_60 ),
inference(avatar_split_clause,[],[f121,f416,f192,f183,f160]) ).
fof(f121,plain,
! [X3] :
( s(sK30)
| p(X3)
| sP1
| ~ sP0 ),
inference(cnf_transformation,[],[f54]) ).
fof(f414,plain,
( spl51_27
| spl51_11
| ~ spl51_58
| spl51_28 ),
inference(avatar_split_clause,[],[f96,f252,f401,f183,f249]) ).
fof(f401,plain,
( spl51_58
<=> r(sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_58])]) ).
fof(f96,plain,
! [X3] :
( sP3
| ~ r(sK14)
| sP1
| r(X3) ),
inference(cnf_transformation,[],[f28]) ).
fof(f413,plain,
( spl51_27
| ~ spl51_30
| spl51_29
| ~ spl51_3
| ~ spl51_28 ),
inference(avatar_split_clause,[],[f80,f252,f152,f258,f261,f249]) ).
fof(f80,plain,
! [X10,X11] :
( ~ sP3
| ~ sP2
| ~ q(X11)
| ~ sP4
| r(X10) ),
inference(cnf_transformation,[],[f21]) ).
fof(f412,plain,
( spl51_27
| spl51_28
| spl51_30
| spl51_54
| spl51_3 ),
inference(avatar_split_clause,[],[f87,f152,f378,f261,f252,f249]) ).
fof(f87,plain,
! [X2] :
( sP2
| q(sK6)
| sP4
| sP3
| r(X2) ),
inference(cnf_transformation,[],[f21]) ).
fof(f411,plain,
( spl51_39
| spl51_5
| ~ spl51_59
| ~ spl51_11 ),
inference(avatar_split_clause,[],[f118,f183,f408,f160,f301]) ).
fof(f118,plain,
! [X8] :
( ~ sP1
| ~ p(sK33)
| sP0
| ~ s(X8) ),
inference(cnf_transformation,[],[f54]) ).
fof(f406,plain,
( spl51_6
| spl51_15
| spl51_39
| spl51_20
| spl51_5 ),
inference(avatar_split_clause,[],[f133,f160,f220,f301,f200,f164]) ).
fof(f220,plain,
( spl51_20
<=> s(sK42) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_20])]) ).
fof(f133,plain,
! [X11,X6,X7] :
( sP0
| s(sK42)
| ~ s(X11)
| q(X6)
| ~ p(X7) ),
inference(cnf_transformation,[],[f69]) ).
fof(f405,plain,
( spl51_28
| spl51_29
| ~ spl51_3
| spl51_27
| spl51_30 ),
inference(avatar_split_clause,[],[f83,f261,f249,f152,f258,f252]) ).
fof(f83,plain,
! [X6,X7] :
( sP4
| r(X6)
| ~ sP2
| ~ q(X7)
| sP3 ),
inference(cnf_transformation,[],[f21]) ).
fof(f404,plain,
( spl51_11
| spl51_36
| spl51_58
| spl51_28 ),
inference(avatar_split_clause,[],[f95,f252,f401,f288,f183]) ).
fof(f95,plain,
! [X3] :
( sP3
| r(sK14)
| ~ r(X3)
| sP1 ),
inference(cnf_transformation,[],[f28]) ).
fof(f399,plain,
( spl51_30
| ~ spl51_57
| spl51_13 ),
inference(avatar_split_clause,[],[f139,f192,f396,f261]) ).
fof(f139,plain,
! [X3] :
( p(X3)
| ~ p(sK50)
| sP4 ),
inference(cnf_transformation,[],[f74]) ).
fof(f394,plain,
( spl51_15
| spl51_18
| spl51_40
| spl51_5 ),
inference(avatar_split_clause,[],[f136,f160,f306,f212,f200]) ).
fof(f136,plain,
! [X3,X4] :
( sP0
| ~ s(X4)
| p(sK38)
| q(X3)
| ~ s(sK39(X4)) ),
inference(cnf_transformation,[],[f69]) ).
fof(f393,plain,
( spl51_2
| ~ spl51_1
| spl51_56
| ~ spl51_3 ),
inference(avatar_split_clause,[],[f99,f152,f391,f144,f148]) ).
fof(f99,plain,
! [X22] :
( ~ sP2
| q(sK28(X22))
| ~ s(sK27)
| r(sK26)
| q(X22) ),
inference(cnf_transformation,[],[f43]) ).
fof(f389,plain,
( ~ spl51_37
| spl51_36
| spl51_15
| ~ spl51_3
| ~ spl51_17 ),
inference(avatar_split_clause,[],[f106,f207,f152,f200,f288,f292]) ).
fof(f106,plain,
! [X14,X13] :
( ~ q(sK23)
| ~ sP2
| q(X13)
| ~ r(X14)
| ~ s(sK24) ),
inference(cnf_transformation,[],[f43]) ).
fof(f388,plain,
( ~ spl51_28
| spl51_26
| ~ spl51_11
| spl51_36 ),
inference(avatar_split_clause,[],[f91,f288,f183,f245,f252]) ).
fof(f245,plain,
( spl51_26
<=> r(sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_26])]) ).
fof(f91,plain,
! [X7] :
( ~ r(X7)
| ~ sP1
| r(sK16)
| ~ sP3 ),
inference(cnf_transformation,[],[f28]) ).
fof(f387,plain,
( ~ spl51_28
| ~ spl51_49
| spl51_29
| ~ spl51_30
| spl51_3 ),
inference(avatar_split_clause,[],[f78,f152,f261,f258,f348,f252]) ).
fof(f78,plain,
! [X13] :
( sP2
| ~ sP4
| ~ q(X13)
| ~ r(sK11)
| ~ sP3 ),
inference(cnf_transformation,[],[f21]) ).
fof(f386,plain,
( ~ spl51_3
| spl51_4
| spl51_7
| spl51_36 ),
inference(avatar_split_clause,[],[f102,f288,f167,f156,f152]) ).
fof(f102,plain,
! [X18,X19,X22] :
( ~ r(X19)
| s(X18)
| ~ q(X22)
| ~ sP2
| ~ q(sK28(X22)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f385,plain,
( ~ spl51_28
| spl51_11
| spl51_55 ),
inference(avatar_split_clause,[],[f93,f383,f183,f252]) ).
fof(f93,plain,
! [X4] :
( r(X4)
| sP1
| ~ sP3
| r(sK15(X4)) ),
inference(cnf_transformation,[],[f28]) ).
fof(f381,plain,
( ~ spl51_3
| ~ spl51_28
| spl51_30
| spl51_54
| spl51_27 ),
inference(avatar_split_clause,[],[f89,f249,f378,f261,f252,f152]) ).
fof(f89,plain,
! [X2] :
( r(X2)
| q(sK6)
| sP4
| ~ sP3
| ~ sP2 ),
inference(cnf_transformation,[],[f21]) ).
fof(f376,plain,
( spl51_19
| spl51_6
| spl51_5
| ~ spl51_41 ),
inference(avatar_split_clause,[],[f137,f309,f160,f164,f216]) ).
fof(f137,plain,
! [X0,X4] :
( ~ q(sK37)
| sP0
| ~ p(X0)
| s(X4)
| s(sK39(X4)) ),
inference(cnf_transformation,[],[f69]) ).
fof(f375,plain,
( spl51_15
| ~ spl51_5
| spl51_38
| ~ spl51_8
| spl51_7 ),
inference(avatar_split_clause,[],[f129,f167,f170,f297,f160,f200]) ).
fof(f129,plain,
! [X17,X13] :
( s(X13)
| ~ s(sK43)
| p(sK45)
| ~ sP0
| q(X17) ),
inference(cnf_transformation,[],[f69]) ).
fof(f374,plain,
( spl51_30
| ~ spl51_28
| ~ spl51_53
| ~ spl51_3
| spl51_29 ),
inference(avatar_split_clause,[],[f90,f258,f152,f371,f252,f261]) ).
fof(f90,plain,
! [X1] :
( ~ q(X1)
| ~ sP2
| ~ r(sK5)
| ~ sP3
| sP4 ),
inference(cnf_transformation,[],[f21]) ).
fof(f369,plain,
( ~ spl51_11
| spl51_52
| spl51_28 ),
inference(avatar_split_clause,[],[f97,f252,f367,f183]) ).
fof(f97,plain,
! [X0] :
( sP3
| r(sK13(X0))
| ~ sP1
| r(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f365,plain,
( spl51_15
| spl51_6
| spl51_25
| ~ spl51_5 ),
inference(avatar_split_clause,[],[f126,f160,f241,f164,f200]) ).
fof(f126,plain,
! [X18,X19,X22] :
( ~ sP0
| ~ s(sK48(X22))
| ~ p(X19)
| ~ s(X22)
| q(X18) ),
inference(cnf_transformation,[],[f69]) ).
fof(f364,plain,
( ~ spl51_11
| spl51_13
| ~ spl51_5
| spl51_39 ),
inference(avatar_split_clause,[],[f116,f301,f160,f192,f183]) ).
fof(f116,plain,
! [X12,X13] :
( ~ s(X13)
| ~ sP0
| p(X12)
| ~ sP1 ),
inference(cnf_transformation,[],[f54]) ).
fof(f363,plain,
( spl51_5
| ~ spl51_22
| spl51_20
| spl51_39
| spl51_21 ),
inference(avatar_split_clause,[],[f131,f224,f301,f220,f228,f160]) ).
fof(f131,plain,
! [X11] :
( p(sK40)
| ~ s(X11)
| s(sK42)
| ~ q(sK41)
| sP0 ),
inference(cnf_transformation,[],[f69]) ).
fof(f362,plain,
( spl51_47
| spl51_3
| ~ spl51_45
| ~ spl51_46
| spl51_15 ),
inference(avatar_split_clause,[],[f108,f200,f333,f328,f152,f337]) ).
fof(f328,plain,
( spl51_45
<=> q(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_45])]) ).
fof(f108,plain,
! [X11] :
( q(X11)
| ~ s(sK21)
| ~ q(sK22)
| sP2
| r(sK20) ),
inference(cnf_transformation,[],[f43]) ).
fof(f361,plain,
( spl51_28
| ~ spl51_11
| spl51_51 ),
inference(avatar_split_clause,[],[f98,f359,f183,f252]) ).
fof(f98,plain,
! [X0] :
( ~ r(sK13(X0))
| ~ r(X0)
| ~ sP1
| sP3 ),
inference(cnf_transformation,[],[f28]) ).
fof(f357,plain,
( ~ spl51_30
| ~ spl51_3
| spl51_27
| spl51_28
| spl51_31 ),
inference(avatar_split_clause,[],[f75,f266,f252,f249,f152,f261]) ).
fof(f75,plain,
! [X14] :
( q(sK12)
| sP3
| r(X14)
| ~ sP2
| ~ sP4 ),
inference(cnf_transformation,[],[f21]) ).
fof(f356,plain,
( spl51_11
| ~ spl51_5
| ~ spl51_50
| spl51_39 ),
inference(avatar_split_clause,[],[f122,f301,f353,f160,f183]) ).
fof(f122,plain,
! [X0] :
( ~ s(X0)
| ~ p(sK29)
| ~ sP0
| sP1 ),
inference(cnf_transformation,[],[f54]) ).
fof(f351,plain,
( ~ spl51_30
| ~ spl51_49
| spl51_28
| spl51_29
| ~ spl51_3 ),
inference(avatar_split_clause,[],[f76,f152,f258,f252,f348,f261]) ).
fof(f76,plain,
! [X13] :
( ~ sP2
| ~ q(X13)
| sP3
| ~ r(sK11)
| ~ sP4 ),
inference(cnf_transformation,[],[f21]) ).
fof(f346,plain,
( ~ spl51_30
| spl51_48 ),
inference(avatar_split_clause,[],[f141,f344,f261]) ).
fof(f141,plain,
! [X0] :
( p(sK49(X0))
| ~ sP4
| p(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f342,plain,
( ~ spl51_28
| ~ spl51_42
| spl51_43
| ~ spl51_30
| ~ spl51_3 ),
inference(avatar_split_clause,[],[f82,f152,f261,f318,f314,f252]) ).
fof(f82,plain,
( ~ sP2
| ~ sP4
| q(sK9)
| ~ r(sK10)
| ~ sP3 ),
inference(cnf_transformation,[],[f21]) ).
fof(f341,plain,
( spl51_36
| spl51_7
| ~ spl51_45
| spl51_3
| spl51_15 ),
inference(avatar_split_clause,[],[f110,f200,f152,f328,f167,f288]) ).
fof(f110,plain,
! [X11,X6,X7] :
( q(X11)
| sP2
| ~ q(sK22)
| s(X6)
| ~ r(X7) ),
inference(cnf_transformation,[],[f43]) ).
fof(f340,plain,
( ~ spl51_46
| spl51_29
| spl51_45
| spl51_47
| spl51_3 ),
inference(avatar_split_clause,[],[f107,f152,f337,f328,f258,f333]) ).
fof(f107,plain,
! [X11] :
( sP2
| r(sK20)
| q(sK22)
| ~ q(X11)
| ~ s(sK21) ),
inference(cnf_transformation,[],[f43]) ).
fof(f331,plain,
( spl51_45
| spl51_7
| spl51_3
| spl51_29
| spl51_36 ),
inference(avatar_split_clause,[],[f109,f288,f258,f152,f167,f328]) ).
fof(f109,plain,
! [X11,X6,X7] :
( ~ r(X7)
| ~ q(X11)
| sP2
| s(X6)
| q(sK22) ),
inference(cnf_transformation,[],[f43]) ).
fof(f326,plain,
( spl51_3
| ~ spl51_35
| spl51_44
| spl51_36 ),
inference(avatar_split_clause,[],[f113,f288,f323,f284,f152]) ).
fof(f113,plain,
! [X0,X4] :
( ~ r(X0)
| q(sK19(X4))
| ~ s(sK17)
| sP2
| q(X4) ),
inference(cnf_transformation,[],[f43]) ).
fof(f325,plain,
( spl51_7
| spl51_3
| spl51_44
| spl51_32 ),
inference(avatar_split_clause,[],[f111,f272,f323,f152,f167]) ).
fof(f111,plain,
! [X3,X4] :
( r(sK18)
| q(X4)
| sP2
| s(X3)
| q(sK19(X4)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f321,plain,
( ~ spl51_42
| ~ spl51_30
| spl51_43
| spl51_3
| spl51_28 ),
inference(avatar_split_clause,[],[f81,f252,f152,f318,f261,f314]) ).
fof(f81,plain,
( sP3
| sP2
| q(sK9)
| ~ sP4
| ~ r(sK10) ),
inference(cnf_transformation,[],[f21]) ).
fof(f312,plain,
( spl51_5
| spl51_40
| spl51_6
| ~ spl51_41 ),
inference(avatar_split_clause,[],[f138,f309,f164,f306,f160]) ).
fof(f138,plain,
! [X0,X4] :
( ~ q(sK37)
| ~ p(X0)
| ~ s(sK39(X4))
| sP0
| ~ s(X4) ),
inference(cnf_transformation,[],[f69]) ).
fof(f304,plain,
( spl51_11
| spl51_5
| spl51_13
| spl51_39 ),
inference(avatar_split_clause,[],[f120,f301,f192,f160,f183]) ).
fof(f120,plain,
! [X4,X5] :
( ~ s(X5)
| p(X4)
| sP0
| sP1 ),
inference(cnf_transformation,[],[f54]) ).
fof(f303,plain,
( spl51_38
| spl51_15
| ~ spl51_5
| spl51_39
| spl51_8 ),
inference(avatar_split_clause,[],[f127,f170,f301,f160,f200,f297]) ).
fof(f127,plain,
! [X17,X13] :
( s(sK43)
| ~ s(X13)
| ~ sP0
| q(X17)
| p(sK45) ),
inference(cnf_transformation,[],[f69]) ).
fof(f295,plain,
( spl51_17
| spl51_29
| ~ spl51_37
| spl51_36
| ~ spl51_3 ),
inference(avatar_split_clause,[],[f104,f152,f288,f292,f258,f207]) ).
fof(f104,plain,
! [X14,X13] :
( ~ sP2
| ~ r(X14)
| ~ s(sK24)
| ~ q(X13)
| q(sK23) ),
inference(cnf_transformation,[],[f43]) ).
fof(f290,plain,
( ~ spl51_35
| spl51_36
| spl51_33
| spl51_3 ),
inference(avatar_split_clause,[],[f114,f152,f276,f288,f284]) ).
fof(f114,plain,
! [X0,X4] :
( sP2
| ~ q(sK19(X4))
| ~ r(X0)
| ~ q(X4)
| ~ s(sK17) ),
inference(cnf_transformation,[],[f43]) ).
fof(f282,plain,
( ~ spl51_30
| spl51_34 ),
inference(avatar_split_clause,[],[f142,f280,f261]) ).
fof(f142,plain,
! [X0] :
( ~ p(X0)
| ~ p(sK49(X0))
| ~ sP4 ),
inference(cnf_transformation,[],[f74]) ).
fof(f278,plain,
( spl51_32
| spl51_33
| spl51_3
| spl51_7 ),
inference(avatar_split_clause,[],[f112,f167,f152,f276,f272]) ).
fof(f112,plain,
! [X3,X4] :
( s(X3)
| sP2
| ~ q(X4)
| r(sK18)
| ~ q(sK19(X4)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f270,plain,
( spl51_27
| spl51_3
| spl51_28
| ~ spl51_30
| spl51_29 ),
inference(avatar_split_clause,[],[f79,f258,f261,f252,f152,f249]) ).
fof(f79,plain,
! [X10,X11] :
( ~ q(X11)
| ~ sP4
| sP3
| sP2
| r(X10) ),
inference(cnf_transformation,[],[f21]) ).
fof(f269,plain,
( ~ spl51_28
| spl51_3
| ~ spl51_30
| spl51_31
| spl51_27 ),
inference(avatar_split_clause,[],[f77,f249,f266,f261,f152,f252]) ).
fof(f77,plain,
! [X14] :
( r(X14)
| q(sK12)
| ~ sP4
| sP2
| ~ sP3 ),
inference(cnf_transformation,[],[f21]) ).
fof(f264,plain,
( spl51_29
| spl51_30
| spl51_27
| spl51_3
| ~ spl51_28 ),
inference(avatar_split_clause,[],[f85,f252,f152,f249,f261,f258]) ).
fof(f85,plain,
! [X6,X7] :
( ~ sP3
| sP2
| r(X6)
| sP4
| ~ q(X7) ),
inference(cnf_transformation,[],[f21]) ).
fof(f256,plain,
( spl51_7
| spl51_6
| spl51_5
| ~ spl51_20
| spl51_15 ),
inference(avatar_split_clause,[],[f134,f200,f220,f160,f164,f167]) ).
fof(f134,plain,
! [X11,X6,X7] :
( q(X6)
| ~ s(sK42)
| sP0
| ~ p(X7)
| s(X11) ),
inference(cnf_transformation,[],[f69]) ).
fof(f255,plain,
( ~ spl51_11
| ~ spl51_26
| spl51_27
| ~ spl51_28 ),
inference(avatar_split_clause,[],[f92,f252,f249,f245,f183]) ).
fof(f92,plain,
! [X7] :
( ~ sP3
| r(X7)
| ~ r(sK16)
| ~ sP1 ),
inference(cnf_transformation,[],[f28]) ).
fof(f243,plain,
( ~ spl51_23
| spl51_24
| spl51_25
| ~ spl51_5 ),
inference(avatar_split_clause,[],[f124,f160,f241,f237,f233]) ).
fof(f124,plain,
! [X22] :
( ~ sP0
| ~ s(X22)
| p(sK46)
| ~ q(sK47)
| ~ s(sK48(X22)) ),
inference(cnf_transformation,[],[f69]) ).
fof(f231,plain,
( ~ spl51_20
| spl51_7
| spl51_21
| spl51_5
| ~ spl51_22 ),
inference(avatar_split_clause,[],[f132,f228,f160,f224,f167,f220]) ).
fof(f132,plain,
! [X11] :
( ~ q(sK41)
| sP0
| p(sK40)
| s(X11)
| ~ s(sK42) ),
inference(cnf_transformation,[],[f69]) ).
fof(f218,plain,
( spl51_18
| spl51_5
| spl51_15
| spl51_19 ),
inference(avatar_split_clause,[],[f135,f216,f200,f160,f212]) ).
fof(f135,plain,
! [X3,X4] :
( s(sK39(X4))
| s(X4)
| q(X3)
| sP0
| p(sK38) ),
inference(cnf_transformation,[],[f69]) ).
fof(f210,plain,
( spl51_15
| spl51_16
| ~ spl51_17
| ~ spl51_3
| spl51_7 ),
inference(avatar_split_clause,[],[f105,f167,f152,f207,f203,f200]) ).
fof(f105,plain,
! [X17,X13] :
( s(X17)
| ~ sP2
| ~ q(sK23)
| r(sK25)
| q(X13) ),
inference(cnf_transformation,[],[f43]) ).
fof(f198,plain,
( spl51_5
| spl51_13
| ~ spl51_11
| spl51_14 ),
inference(avatar_split_clause,[],[f117,f195,f183,f192,f160]) ).
fof(f117,plain,
! [X11] :
( s(sK34)
| ~ sP1
| p(X11)
| sP0 ),
inference(cnf_transformation,[],[f54]) ).
fof(f190,plain,
( spl51_10
| ~ spl51_11
| ~ spl51_5
| ~ spl51_12 ),
inference(avatar_split_clause,[],[f115,f187,f160,f183,f179]) ).
fof(f115,plain,
( ~ p(sK36)
| ~ sP0
| ~ sP1
| s(sK35) ),
inference(cnf_transformation,[],[f54]) ).
fof(f177,plain,
( ~ spl51_5
| spl51_6
| spl51_7
| ~ spl51_8
| ~ spl51_9 ),
inference(avatar_split_clause,[],[f130,f174,f170,f167,f164,f160]) ).
fof(f130,plain,
! [X14,X13] :
( ~ q(sK44)
| ~ s(sK43)
| s(X13)
| ~ p(X14)
| ~ sP0 ),
inference(cnf_transformation,[],[f69]) ).
fof(f158,plain,
( ~ spl51_1
| spl51_2
| ~ spl51_3
| spl51_4 ),
inference(avatar_split_clause,[],[f100,f156,f152,f148,f144]) ).
fof(f100,plain,
! [X22] :
( ~ q(X22)
| ~ q(sK28(X22))
| ~ sP2
| r(sK26)
| ~ s(sK27) ),
inference(cnf_transformation,[],[f43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYN723+1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 22:16:54 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.48 % (28504)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.49 % (28506)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50 % (28498)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.50 % (28505)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50 % (28512)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.50 % (28504)Instruction limit reached!
% 0.19/0.50 % (28504)------------------------------
% 0.19/0.50 % (28504)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (28499)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.50 % (28507)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51 % (28499)Refutation not found, incomplete strategy% (28499)------------------------------
% 0.19/0.51 % (28499)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (28496)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.51 % (28495)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.51 % (28491)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.51 % (28499)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (28499)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (28499)Memory used [KB]: 6140
% 0.19/0.51 % (28499)Time elapsed: 0.081 s
% 0.19/0.51 % (28499)Instructions burned: 3 (million)
% 0.19/0.51 % (28499)------------------------------
% 0.19/0.51 % (28499)------------------------------
% 0.19/0.51 % (28506)Refutation not found, incomplete strategy% (28506)------------------------------
% 0.19/0.51 % (28506)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (28496)First to succeed.
% 0.19/0.51 % (28504)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (28504)Termination reason: Unknown
% 0.19/0.51 % (28504)Termination phase: Property scanning
% 0.19/0.51
% 0.19/0.51 % (28504)Memory used [KB]: 1535
% 0.19/0.51 % (28504)Time elapsed: 0.003 s
% 0.19/0.51 % (28504)Instructions burned: 3 (million)
% 0.19/0.51 % (28504)------------------------------
% 0.19/0.51 % (28504)------------------------------
% 0.19/0.51 % (28497)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.51 % (28493)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (28491)Refutation not found, incomplete strategy% (28491)------------------------------
% 0.19/0.51 % (28491)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (28514)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (28506)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (28506)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (28506)Memory used [KB]: 6140
% 0.19/0.51 % (28506)Time elapsed: 0.115 s
% 0.19/0.51 % (28506)Instructions burned: 6 (million)
% 0.19/0.51 % (28506)------------------------------
% 0.19/0.51 % (28506)------------------------------
% 0.19/0.51 % (28511)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52 % (28518)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.52 % (28492)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52 % (28492)Instruction limit reached!
% 0.19/0.52 % (28492)------------------------------
% 0.19/0.52 % (28492)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (28510)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.52 % (28503)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (28515)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.52 % (28495)Instruction limit reached!
% 0.19/0.52 % (28495)------------------------------
% 0.19/0.52 % (28495)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (28495)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (28495)Termination reason: Unknown
% 0.19/0.52 % (28495)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (28495)Memory used [KB]: 1535
% 0.19/0.52 % (28495)Time elapsed: 0.131 s
% 0.19/0.52 % (28495)Instructions burned: 15 (million)
% 0.19/0.52 % (28495)------------------------------
% 0.19/0.52 % (28495)------------------------------
% 0.19/0.52 % (28493)Refutation not found, incomplete strategy% (28493)------------------------------
% 0.19/0.52 % (28493)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (28493)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (28493)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (28493)Memory used [KB]: 6140
% 0.19/0.52 % (28493)Time elapsed: 0.127 s
% 0.19/0.52 % (28493)Instructions burned: 4 (million)
% 0.19/0.52 % (28493)------------------------------
% 0.19/0.52 % (28493)------------------------------
% 0.19/0.52 % (28505)Instruction limit reached!
% 0.19/0.52 % (28505)------------------------------
% 0.19/0.52 % (28505)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (28505)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (28505)Termination reason: Unknown
% 0.19/0.52 % (28505)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (28505)Memory used [KB]: 6268
% 0.19/0.52 % (28505)Time elapsed: 0.129 s
% 0.19/0.52 % (28505)Instructions burned: 7 (million)
% 0.19/0.52 % (28505)------------------------------
% 0.19/0.52 % (28505)------------------------------
% 0.19/0.52 % (28494)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.52 % (28513)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.52 % (28519)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.52 % (28500)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.52 % (28513)Refutation not found, incomplete strategy% (28513)------------------------------
% 0.19/0.52 % (28513)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (28513)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (28513)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (28513)Memory used [KB]: 1663
% 0.19/0.52 % (28513)Time elapsed: 0.124 s
% 0.19/0.52 % (28513)Instructions burned: 3 (million)
% 0.19/0.52 % (28513)------------------------------
% 0.19/0.52 % (28513)------------------------------
% 0.19/0.52 % (28498)Also succeeded, but the first one will report.
% 0.19/0.52 % (28507)Instruction limit reached!
% 0.19/0.52 % (28507)------------------------------
% 0.19/0.52 % (28507)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (28496)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Theorem for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (28496)------------------------------
% 0.19/0.53 % (28496)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (28496)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (28496)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (28496)Memory used [KB]: 6396
% 0.19/0.53 % (28496)Time elapsed: 0.121 s
% 0.19/0.53 % (28496)Instructions burned: 11 (million)
% 0.19/0.53 % (28496)------------------------------
% 0.19/0.53 % (28496)------------------------------
% 0.19/0.53 % (28489)Success in time 0.179 s
%------------------------------------------------------------------------------