TSTP Solution File: SYN917+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYN917+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n022.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 12:07:50 EDT 2024
% Result : Theorem 0.76s 0.93s
% Output : Refutation 0.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 117
% Syntax : Number of formulae : 461 ( 1 unt; 0 def)
% Number of atoms : 2327 ( 0 equ)
% Maximal formula atoms : 94 ( 5 avg)
% Number of connectives : 2814 ( 948 ~;1193 |; 408 &)
% ( 98 <=>; 137 =>; 0 <=; 30 <~>)
% Maximal formula depth : 28 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 95 ( 94 usr; 89 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 29 con; 0-1 aty)
% Number of variables : 676 ( 438 !; 238 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f707,plain,
$false,
inference(avatar_sat_refutation,[],[f236,f240,f249,f250,f264,f268,f276,f281,f286,f295,f300,f304,f309,f310,f314,f323,f334,f335,f348,f351,f352,f357,f360,f369,f374,f377,f386,f391,f392,f403,f408,f419,f420,f425,f428,f445,f466,f467,f470,f478,f482,f489,f494,f503,f508,f512,f516,f521,f522,f523,f528,f537,f547,f552,f554,f562,f570,f575,f577,f578,f579,f580,f581,f583,f585,f587,f589,f591,f597,f606,f612,f614,f616,f618,f620,f622,f624,f626,f628,f631,f634,f636,f645,f647,f649,f651,f658,f660,f664,f666,f688,f690,f692,f694,f696,f698,f700,f702,f704,f706]) ).
fof(f706,plain,
( ~ spl49_9
| ~ spl49_32 ),
inference(avatar_contradiction_clause,[],[f705]) ).
fof(f705,plain,
( $false
| ~ spl49_9
| ~ spl49_32 ),
inference(subsumption_resolution,[],[f385,f267]) ).
fof(f267,plain,
( ! [X2] : ~ p(X2)
| ~ spl49_9 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f266,plain,
( spl49_9
<=> ! [X2] : ~ p(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_9])]) ).
fof(f385,plain,
( p(sK32)
| ~ spl49_32 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f383,plain,
( spl49_32
<=> p(sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_32])]) ).
fof(f704,plain,
( ~ spl49_9
| ~ spl49_31 ),
inference(avatar_contradiction_clause,[],[f703]) ).
fof(f703,plain,
( $false
| ~ spl49_9
| ~ spl49_31 ),
inference(subsumption_resolution,[],[f381,f267]) ).
fof(f381,plain,
( p(sK33)
| ~ spl49_31 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f379,plain,
( spl49_31
<=> p(sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_31])]) ).
fof(f702,plain,
( ~ spl49_9
| ~ spl49_35 ),
inference(avatar_contradiction_clause,[],[f701]) ).
fof(f701,plain,
( $false
| ~ spl49_9
| ~ spl49_35 ),
inference(subsumption_resolution,[],[f401,f267]) ).
fof(f401,plain,
( p(sK34)
| ~ spl49_35 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f399,plain,
( spl49_35
<=> p(sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_35])]) ).
fof(f700,plain,
( ~ spl49_9
| ~ spl49_34 ),
inference(avatar_contradiction_clause,[],[f699]) ).
fof(f699,plain,
( $false
| ~ spl49_9
| ~ spl49_34 ),
inference(subsumption_resolution,[],[f396,f267]) ).
fof(f396,plain,
( p(sK35)
| ~ spl49_34 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f394,plain,
( spl49_34
<=> p(sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_34])]) ).
fof(f698,plain,
( ~ spl49_9
| ~ spl49_23 ),
inference(avatar_contradiction_clause,[],[f697]) ).
fof(f697,plain,
( $false
| ~ spl49_9
| ~ spl49_23 ),
inference(subsumption_resolution,[],[f332,f267]) ).
fof(f332,plain,
( p(sK26)
| ~ spl49_23 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f330,plain,
( spl49_23
<=> p(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_23])]) ).
fof(f696,plain,
( ~ spl49_9
| ~ spl49_22 ),
inference(avatar_contradiction_clause,[],[f695]) ).
fof(f695,plain,
( $false
| ~ spl49_9
| ~ spl49_22 ),
inference(subsumption_resolution,[],[f327,f267]) ).
fof(f327,plain,
( p(sK27)
| ~ spl49_22 ),
inference(avatar_component_clause,[],[f325]) ).
fof(f325,plain,
( spl49_22
<=> p(sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_22])]) ).
fof(f694,plain,
( ~ spl49_11
| ~ spl49_43 ),
inference(avatar_contradiction_clause,[],[f693]) ).
fof(f693,plain,
( $false
| ~ spl49_11
| ~ spl49_43 ),
inference(subsumption_resolution,[],[f444,f275]) ).
fof(f275,plain,
( ! [X0] : ~ q(X0)
| ~ spl49_11 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f274,plain,
( spl49_11
<=> ! [X0] : ~ q(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_11])]) ).
fof(f444,plain,
( q(sK38)
| ~ spl49_43 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f442,plain,
( spl49_43
<=> q(sK38) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_43])]) ).
fof(f692,plain,
( ~ spl49_9
| ~ spl49_42 ),
inference(avatar_contradiction_clause,[],[f691]) ).
fof(f691,plain,
( $false
| ~ spl49_9
| ~ spl49_42 ),
inference(subsumption_resolution,[],[f440,f267]) ).
fof(f440,plain,
( p(sK39)
| ~ spl49_42 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f438,plain,
( spl49_42
<=> p(sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_42])]) ).
fof(f690,plain,
( ~ spl49_9
| ~ spl49_40 ),
inference(avatar_contradiction_clause,[],[f689]) ).
fof(f689,plain,
( $false
| ~ spl49_9
| ~ spl49_40 ),
inference(subsumption_resolution,[],[f432,f267]) ).
fof(f432,plain,
( p(sK40)
| ~ spl49_40 ),
inference(avatar_component_clause,[],[f430]) ).
fof(f430,plain,
( spl49_40
<=> p(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_40])]) ).
fof(f688,plain,
( ~ spl49_11
| ~ spl49_41 ),
inference(avatar_contradiction_clause,[],[f687]) ).
fof(f687,plain,
( $false
| ~ spl49_11
| ~ spl49_41 ),
inference(resolution,[],[f436,f275]) ).
fof(f436,plain,
( q(sK40)
| ~ spl49_41 ),
inference(avatar_component_clause,[],[f434]) ).
fof(f434,plain,
( spl49_41
<=> q(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_41])]) ).
fof(f666,plain,
( spl49_65
| ~ spl49_70 ),
inference(avatar_contradiction_clause,[],[f665]) ).
fof(f665,plain,
( $false
| spl49_65
| ~ spl49_70 ),
inference(subsumption_resolution,[],[f545,f569]) ).
fof(f569,plain,
( ! [X0] : f(X0)
| ~ spl49_70 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f568,plain,
( spl49_70
<=> ! [X0] : f(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_70])]) ).
fof(f545,plain,
( ~ f(sK47)
| spl49_65 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f544,plain,
( spl49_65
<=> f(sK47) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_65])]) ).
fof(f664,plain,
( ~ spl49_3
| spl49_38 ),
inference(avatar_contradiction_clause,[],[f663]) ).
fof(f663,plain,
( $false
| ~ spl49_3
| spl49_38 ),
inference(subsumption_resolution,[],[f417,f239]) ).
fof(f239,plain,
( ! [X1] : p(X1)
| ~ spl49_3 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f238,plain,
( spl49_3
<=> ! [X1] : p(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_3])]) ).
fof(f417,plain,
( ~ p(sK36)
| spl49_38 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f415,plain,
( spl49_38
<=> p(sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_38])]) ).
fof(f660,plain,
( ~ spl49_62
| ~ spl49_67 ),
inference(avatar_contradiction_clause,[],[f659]) ).
fof(f659,plain,
( $false
| ~ spl49_62
| ~ spl49_67 ),
inference(resolution,[],[f557,f531]) ).
fof(f531,plain,
( h(sK47)
| ~ spl49_62 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f530,plain,
( spl49_62
<=> h(sK47) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_62])]) ).
fof(f557,plain,
( ! [X0] : ~ h(X0)
| ~ spl49_67 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f556,plain,
( spl49_67
<=> ! [X0] : ~ h(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_67])]) ).
fof(f658,plain,
( ~ spl49_52
| spl49_68
| ~ spl49_71 ),
inference(avatar_contradiction_clause,[],[f657]) ).
fof(f657,plain,
( $false
| ~ spl49_52
| spl49_68
| ~ spl49_71 ),
inference(subsumption_resolution,[],[f656,f574]) ).
fof(f574,plain,
( f(sK48)
| ~ spl49_71 ),
inference(avatar_component_clause,[],[f572]) ).
fof(f572,plain,
( spl49_71
<=> f(sK48) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_71])]) ).
fof(f656,plain,
( ~ f(sK48)
| ~ spl49_52
| spl49_68 ),
inference(resolution,[],[f561,f485]) ).
fof(f485,plain,
( ! [X3] :
( g(X3)
| ~ f(X3) )
| ~ spl49_52 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f484,plain,
( spl49_52
<=> ! [X3] :
( g(X3)
| ~ f(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_52])]) ).
fof(f561,plain,
( ~ g(sK48)
| spl49_68 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f559,plain,
( spl49_68
<=> g(sK48) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_68])]) ).
fof(f651,plain,
( ~ spl49_11
| ~ spl49_12 ),
inference(avatar_contradiction_clause,[],[f650]) ).
fof(f650,plain,
( $false
| ~ spl49_11
| ~ spl49_12 ),
inference(resolution,[],[f275,f280]) ).
fof(f280,plain,
( q(sK23)
| ~ spl49_12 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f278,plain,
( spl49_12
<=> q(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_12])]) ).
fof(f649,plain,
( ~ spl49_3
| spl49_26 ),
inference(avatar_contradiction_clause,[],[f648]) ).
fof(f648,plain,
( $false
| ~ spl49_3
| spl49_26 ),
inference(subsumption_resolution,[],[f347,f239]) ).
fof(f347,plain,
( ~ p(sK28)
| spl49_26 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f345,plain,
( spl49_26
<=> p(sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_26])]) ).
fof(f647,plain,
( ~ spl49_3
| spl49_25 ),
inference(avatar_contradiction_clause,[],[f646]) ).
fof(f646,plain,
( $false
| ~ spl49_3
| spl49_25 ),
inference(subsumption_resolution,[],[f343,f239]) ).
fof(f343,plain,
( ~ p(sK29)
| spl49_25 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f341,plain,
( spl49_25
<=> p(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_25])]) ).
fof(f645,plain,
( spl49_56
| ~ spl49_57
| ~ spl49_58
| ~ spl49_59 ),
inference(avatar_contradiction_clause,[],[f642]) ).
fof(f642,plain,
( $false
| spl49_56
| ~ spl49_57
| ~ spl49_58
| ~ spl49_59 ),
inference(resolution,[],[f641,f507]) ).
fof(f507,plain,
( r(sK44,sK45)
| ~ spl49_57 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f505,plain,
( spl49_57
<=> r(sK44,sK45) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_57])]) ).
fof(f641,plain,
( ! [X0] : ~ r(sK44,X0)
| spl49_56
| ~ spl49_58
| ~ spl49_59 ),
inference(resolution,[],[f639,f515]) ).
fof(f515,plain,
( ! [X6,X5] :
( r(X6,X5)
| ~ r(X5,X6) )
| ~ spl49_59 ),
inference(avatar_component_clause,[],[f514]) ).
fof(f514,plain,
( spl49_59
<=> ! [X6,X5] :
( r(X6,X5)
| ~ r(X5,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_59])]) ).
fof(f639,plain,
( ! [X0] : ~ r(X0,sK44)
| spl49_56
| ~ spl49_58
| ~ spl49_59 ),
inference(subsumption_resolution,[],[f638,f515]) ).
fof(f638,plain,
( ! [X0] :
( ~ r(sK44,X0)
| ~ r(X0,sK44) )
| spl49_56
| ~ spl49_58 ),
inference(resolution,[],[f511,f502]) ).
fof(f502,plain,
( ~ r(sK44,sK44)
| spl49_56 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f500,plain,
( spl49_56
<=> r(sK44,sK44) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_56])]) ).
fof(f511,plain,
( ! [X2,X3,X4] :
( r(X2,X4)
| ~ r(X2,X3)
| ~ r(X3,X4) )
| ~ spl49_58 ),
inference(avatar_component_clause,[],[f510]) ).
fof(f510,plain,
( spl49_58
<=> ! [X4,X2,X3] :
( r(X2,X4)
| ~ r(X2,X3)
| ~ r(X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_58])]) ).
fof(f636,plain,
( spl49_53
| ~ spl49_50
| ~ spl49_52 ),
inference(avatar_split_clause,[],[f635,f484,f476,f487]) ).
fof(f487,plain,
( spl49_53
<=> ! [X2] :
( h(X2)
| ~ f(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_53])]) ).
fof(f476,plain,
( spl49_50
<=> ! [X0] :
( h(X0)
| ~ f(X0)
| ~ g(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_50])]) ).
fof(f635,plain,
( ! [X0] :
( h(X0)
| ~ f(X0) )
| ~ spl49_50
| ~ spl49_52 ),
inference(subsumption_resolution,[],[f477,f485]) ).
fof(f477,plain,
( ! [X0] :
( h(X0)
| ~ f(X0)
| ~ g(X0) )
| ~ spl49_50 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f634,plain,
( ~ spl49_53
| spl49_62
| ~ spl49_65 ),
inference(avatar_contradiction_clause,[],[f633]) ).
fof(f633,plain,
( $false
| ~ spl49_53
| spl49_62
| ~ spl49_65 ),
inference(subsumption_resolution,[],[f632,f546]) ).
fof(f546,plain,
( f(sK47)
| ~ spl49_65 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f632,plain,
( ~ f(sK47)
| ~ spl49_53
| spl49_62 ),
inference(resolution,[],[f488,f532]) ).
fof(f532,plain,
( ~ h(sK47)
| spl49_62 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f488,plain,
( ! [X2] :
( h(X2)
| ~ f(X2) )
| ~ spl49_53 ),
inference(avatar_component_clause,[],[f487]) ).
fof(f631,plain,
( ~ spl49_52
| spl49_63
| ~ spl49_66 ),
inference(avatar_contradiction_clause,[],[f630]) ).
fof(f630,plain,
( $false
| ~ spl49_52
| spl49_63
| ~ spl49_66 ),
inference(subsumption_resolution,[],[f629,f551]) ).
fof(f551,plain,
( f(sK46)
| ~ spl49_66 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f549,plain,
( spl49_66
<=> f(sK46) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_66])]) ).
fof(f629,plain,
( ~ f(sK46)
| ~ spl49_52
| spl49_63 ),
inference(resolution,[],[f485,f536]) ).
fof(f536,plain,
( ~ g(sK46)
| spl49_63 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f534,plain,
( spl49_63
<=> g(sK46) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_63])]) ).
fof(f628,plain,
( spl49_52
| ~ spl49_51
| ~ spl49_53 ),
inference(avatar_split_clause,[],[f627,f487,f480,f484]) ).
fof(f480,plain,
( spl49_51
<=> ! [X1] :
( g(X1)
| ~ f(X1)
| ~ h(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_51])]) ).
fof(f627,plain,
( ! [X1] :
( g(X1)
| ~ f(X1) )
| ~ spl49_51
| ~ spl49_53 ),
inference(subsumption_resolution,[],[f481,f488]) ).
fof(f481,plain,
( ! [X1] :
( g(X1)
| ~ f(X1)
| ~ h(X1) )
| ~ spl49_51 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f626,plain,
( ~ spl49_3
| spl49_29 ),
inference(avatar_contradiction_clause,[],[f625]) ).
fof(f625,plain,
( $false
| ~ spl49_3
| spl49_29 ),
inference(subsumption_resolution,[],[f368,f239]) ).
fof(f368,plain,
( ~ p(sK30)
| spl49_29 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f366,plain,
( spl49_29
<=> p(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_29])]) ).
fof(f624,plain,
( ~ spl49_17
| spl49_46 ),
inference(avatar_contradiction_clause,[],[f623]) ).
fof(f623,plain,
( $false
| ~ spl49_17
| spl49_46 ),
inference(subsumption_resolution,[],[f457,f303]) ).
fof(f303,plain,
( ! [X1] : q(X1)
| ~ spl49_17 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f302,plain,
( spl49_17
<=> ! [X1] : q(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_17])]) ).
fof(f457,plain,
( ~ q(sK43)
| spl49_46 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f455,plain,
( spl49_46
<=> q(sK43) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_46])]) ).
fof(f622,plain,
( ~ spl49_3
| spl49_47 ),
inference(avatar_contradiction_clause,[],[f621]) ).
fof(f621,plain,
( $false
| ~ spl49_3
| spl49_47 ),
inference(subsumption_resolution,[],[f461,f239]) ).
fof(f461,plain,
( ~ p(sK42)
| spl49_47 ),
inference(avatar_component_clause,[],[f459]) ).
fof(f459,plain,
( spl49_47
<=> p(sK42) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_47])]) ).
fof(f620,plain,
( ~ spl49_3
| spl49_45 ),
inference(avatar_contradiction_clause,[],[f619]) ).
fof(f619,plain,
( $false
| ~ spl49_3
| spl49_45 ),
inference(subsumption_resolution,[],[f453,f239]) ).
fof(f453,plain,
( ~ p(sK43)
| spl49_45 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f451,plain,
( spl49_45
<=> p(sK43) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_45])]) ).
fof(f618,plain,
( ~ spl49_17
| spl49_48 ),
inference(avatar_contradiction_clause,[],[f617]) ).
fof(f617,plain,
( $false
| ~ spl49_17
| spl49_48 ),
inference(resolution,[],[f465,f303]) ).
fof(f465,plain,
( ~ q(sK41)
| spl49_48 ),
inference(avatar_component_clause,[],[f463]) ).
fof(f463,plain,
( spl49_48
<=> q(sK41) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_48])]) ).
fof(f616,plain,
( ~ spl49_3
| spl49_37 ),
inference(avatar_contradiction_clause,[],[f615]) ).
fof(f615,plain,
( $false
| ~ spl49_3
| spl49_37 ),
inference(resolution,[],[f412,f239]) ).
fof(f412,plain,
( ~ p(sK37)
| spl49_37 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f410,plain,
( spl49_37
<=> p(sK37) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_37])]) ).
fof(f614,plain,
( ~ spl49_3
| spl49_28 ),
inference(avatar_contradiction_clause,[],[f613]) ).
fof(f613,plain,
( $false
| ~ spl49_3
| spl49_28 ),
inference(resolution,[],[f364,f239]) ).
fof(f364,plain,
( ~ p(sK31)
| spl49_28 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f362,plain,
( spl49_28
<=> p(sK31) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_28])]) ).
fof(f612,plain,
( ~ spl49_3
| spl49_5 ),
inference(avatar_contradiction_clause,[],[f611]) ).
fof(f611,plain,
( $false
| ~ spl49_3
| spl49_5 ),
inference(resolution,[],[f248,f239]) ).
fof(f248,plain,
( ~ p(sK20)
| spl49_5 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f246,plain,
( spl49_5
<=> p(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_5])]) ).
fof(f606,plain,
( ~ spl49_3
| ~ spl49_11
| ~ spl49_19 ),
inference(avatar_contradiction_clause,[],[f605]) ).
fof(f605,plain,
( $false
| ~ spl49_3
| ~ spl49_11
| ~ spl49_19 ),
inference(subsumption_resolution,[],[f604,f239]) ).
fof(f604,plain,
( ! [X0] : ~ p(sK25(X0))
| ~ spl49_11
| ~ spl49_19 ),
inference(subsumption_resolution,[],[f313,f275]) ).
fof(f313,plain,
( ! [X0] :
( q(X0)
| ~ p(sK25(X0)) )
| ~ spl49_19 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f312,plain,
( spl49_19
<=> ! [X0] :
( q(X0)
| ~ p(sK25(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_19])]) ).
fof(f597,plain,
( ~ spl49_3
| spl49_16 ),
inference(avatar_contradiction_clause,[],[f596]) ).
fof(f596,plain,
( $false
| ~ spl49_3
| spl49_16 ),
inference(subsumption_resolution,[],[f299,f239]) ).
fof(f299,plain,
( ~ p(sK24)
| spl49_16 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f297,plain,
( spl49_16
<=> p(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_16])]) ).
fof(f591,plain,
( ~ spl49_3
| ~ spl49_9 ),
inference(avatar_contradiction_clause,[],[f590]) ).
fof(f590,plain,
( $false
| ~ spl49_3
| ~ spl49_9 ),
inference(subsumption_resolution,[],[f239,f267]) ).
fof(f589,plain,
( spl49_15
| ~ spl49_17 ),
inference(avatar_contradiction_clause,[],[f588]) ).
fof(f588,plain,
( $false
| spl49_15
| ~ spl49_17 ),
inference(subsumption_resolution,[],[f294,f303]) ).
fof(f294,plain,
( ~ q(sK24)
| spl49_15 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f292,plain,
( spl49_15
<=> q(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_15])]) ).
fof(f587,plain,
( ~ spl49_9
| ~ spl49_13 ),
inference(avatar_contradiction_clause,[],[f586]) ).
fof(f586,plain,
( $false
| ~ spl49_9
| ~ spl49_13 ),
inference(subsumption_resolution,[],[f285,f267]) ).
fof(f285,plain,
( p(sK23)
| ~ spl49_13 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f283,plain,
( spl49_13
<=> p(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_13])]) ).
fof(f585,plain,
( ~ spl49_8
| ~ spl49_9 ),
inference(avatar_contradiction_clause,[],[f584]) ).
fof(f584,plain,
( $false
| ~ spl49_8
| ~ spl49_9 ),
inference(subsumption_resolution,[],[f263,f267]) ).
fof(f263,plain,
( p(sK22)
| ~ spl49_8 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f261,plain,
( spl49_8
<=> p(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_8])]) ).
fof(f583,plain,
( spl49_2
| ~ spl49_3 ),
inference(avatar_contradiction_clause,[],[f582]) ).
fof(f582,plain,
( $false
| spl49_2
| ~ spl49_3 ),
inference(subsumption_resolution,[],[f235,f239]) ).
fof(f235,plain,
( ~ p(sK19)
| spl49_2 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f233,plain,
( spl49_2
<=> p(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_2])]) ).
fof(f581,plain,
( spl49_60
| spl49_55
| spl49_49
| spl49_18
| spl49_44
| spl49_14
| spl49_39
| spl49_4
| spl49_10
| spl49_1
| spl49_3
| spl49_6
| spl49_36
| spl49_33
| spl49_21
| spl49_30
| spl49_27
| spl49_24
| spl49_20 ),
inference(avatar_split_clause,[],[f208,f316,f337,f354,f371,f320,f388,f405,f252,f238,f229,f270,f242,f422,f288,f447,f306,f472,f496,f518]) ).
fof(f518,plain,
( spl49_60
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_60])]) ).
fof(f496,plain,
( spl49_55
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_55])]) ).
fof(f472,plain,
( spl49_49
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_49])]) ).
fof(f306,plain,
( spl49_18
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_18])]) ).
fof(f447,plain,
( spl49_44
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_44])]) ).
fof(f288,plain,
( spl49_14
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_14])]) ).
fof(f422,plain,
( spl49_39
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_39])]) ).
fof(f242,plain,
( spl49_4
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_4])]) ).
fof(f270,plain,
( spl49_10
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_10])]) ).
fof(f229,plain,
( spl49_1
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_1])]) ).
fof(f252,plain,
( spl49_6
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_6])]) ).
fof(f405,plain,
( spl49_36
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_36])]) ).
fof(f388,plain,
( spl49_33
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_33])]) ).
fof(f320,plain,
( spl49_21
<=> c ),
introduced(avatar_definition,[new_symbols(naming,[spl49_21])]) ).
fof(f371,plain,
( spl49_30
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_30])]) ).
fof(f354,plain,
( spl49_27
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_27])]) ).
fof(f337,plain,
( spl49_24
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_24])]) ).
fof(f316,plain,
( spl49_20
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_20])]) ).
fof(f208,plain,
! [X1] :
( sP12
| sP11
| sP10
| sP9
| c
| sP8
| sP7
| sP16
| p(X1)
| sP18
| sP15
| sP17
| sP6
| sP14
| sP5
| sP13
| sP4
| sP3
| sP2 ),
inference(duplicate_literal_removal,[],[f200]) ).
fof(f200,plain,
! [X1] :
( sP12
| sP11
| sP10
| sP9
| c
| c
| c
| c
| sP8
| sP7
| sP16
| p(X1)
| sP18
| sP15
| sP17
| sP6
| sP14
| sP5
| sP13
| sP4
| sP3
| sP2 ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
( sP12
| sP11
| sP10
| sP9
| ( ( ~ c
| ~ c )
& ( c
| c ) )
| ( ( ~ c
| ~ c )
& ( c
| c ) )
| sP8
| sP7
| sP16
| ( ! [X0] : ~ p(X0)
& ! [X1] : p(X1) )
| sP18
| sP15
| sP17
| sP6
| sP14
| sP5
| sP13
| sP4
| sP3
| sP2 ),
inference(rectify,[],[f118]) ).
fof(f118,plain,
( sP12
| sP11
| sP10
| sP9
| ( ( ~ c
| ~ c )
& ( c
| c ) )
| ( ( ~ c
| ~ c )
& ( c
| c ) )
| sP8
| sP7
| sP16
| ( ! [X18] : ~ p(X18)
& ! [X17] : p(X17) )
| sP18
| sP15
| sP17
| sP6
| sP14
| sP5
| sP13
| sP4
| sP3
| sP2 ),
inference(nnf_transformation,[],[f25]) ).
fof(f25,plain,
( sP12
| sP11
| sP10
| sP9
| ( c
<~> c )
| ( c
<~> c )
| sP8
| sP7
| sP16
| ( ! [X18] : ~ p(X18)
& ! [X17] : p(X17) )
| sP18
| sP15
| sP17
| sP6
| sP14
| sP5
| sP13
| sP4
| sP3
| sP2 ),
inference(definition_folding,[],[f5,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8,f7,f6]) ).
fof(f6,plain,
( ! [X52] :
( ? [X53] :
( ~ g(X53)
& f(X53) )
| ( ~ h(X52)
& g(X52)
& f(X52) ) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f7,plain,
( ? [X40] :
( ~ g(X40)
& f(X40) )
| ? [X39] :
( ~ h(X39)
& g(X39)
& f(X39) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f8,plain,
( ( ! [X55] :
( h(X55)
| ~ g(X55)
| ~ f(X55) )
& ! [X54] :
( g(X54)
| ~ h(X54)
| ~ f(X54) )
& ( ! [X50] :
( h(X50)
| ~ f(X50) )
| ! [X51] :
( g(X51)
| ~ f(X51) ) )
& sP0 )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f9,plain,
( ( ? [X48,X49] :
( ~ r(X48,X48)
& r(X48,X49) )
& ! [X43,X44,X45] :
( r(X43,X45)
| ~ r(X44,X45)
| ~ r(X43,X44) )
& ! [X46,X47] :
( r(X47,X46)
| ~ r(X46,X47) ) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f10,plain,
( ( ! [X42] :
( h(X42)
| ~ g(X42)
| ~ f(X42) )
& ! [X41] :
( g(X41)
| ~ h(X41)
| ~ f(X41) )
& ( ! [X37] :
( h(X37)
| ~ f(X37) )
| ! [X38] :
( g(X38)
| ~ f(X38) ) )
& sP1 )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f11,plain,
( ( ! [X32] :
( q(X32)
& p(X32) )
<~> ( ! [X33] : q(X33)
& ! [X34] : p(X34) ) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f12,plain,
( ( ? [X26] :
( q(X26)
| p(X26) )
<~> ( ? [X27] : q(X27)
| ? [X28] : p(X28) ) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f13,plain,
( ( ! [X12] :
( c
| p(X12) )
<~> ( c
| ! [X13] : p(X13) ) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f14,plain,
( ( ? [X10] :
( c
& p(X10) )
<~> ( c
& ? [X11] : p(X11) ) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f15,plain,
( ( ? [X6] :
( p(X6)
| ~ c )
<~> ( ? [X7] : p(X7)
| ~ c ) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f16,plain,
( ( ? [X4] :
( c
| ~ p(X4) )
<~> ( c
| ? [X5] : ~ p(X5) ) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f17,plain,
( ( ! [X2] :
( p(X2)
| ~ c )
<~> ( ! [X3] : p(X3)
| ~ c ) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f18,plain,
( ( ! [X0] :
( c
| ~ p(X0) )
<~> ( c
| ! [X1] : ~ p(X1) ) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f19,plain,
( ! [X35] :
? [X36] :
( ~ q(X35)
& p(X35)
& ( q(X35)
| ~ p(X36) ) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f20,plain,
( ( ? [X31] :
( ~ q(X31)
& ~ p(X31) )
& ( ! [X29] : q(X29)
| ! [X30] : p(X30) ) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f21,plain,
( ( ( ! [X22] : ~ q(X22)
| ! [X23] : ~ p(X23) )
& ? [X21] :
( q(X21)
& p(X21) ) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f22,plain,
( ( ? [X15] :
( ~ p(X15)
& ? [X16] : p(X16) )
& ! [X14] : ~ p(X14) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f23,plain,
( ! [X24] :
( ? [X25] : ~ p(X25)
& p(X24) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f24,plain,
( ? [X19] :
( ~ p(X19)
& ! [X20] : p(X20) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f5,plain,
( ( ! [X0] :
( c
| ~ p(X0) )
<~> ( c
| ! [X1] : ~ p(X1) ) )
| ( ! [X2] :
( p(X2)
| ~ c )
<~> ( ! [X3] : p(X3)
| ~ c ) )
| ( ? [X4] :
( c
| ~ p(X4) )
<~> ( c
| ? [X5] : ~ p(X5) ) )
| ( ? [X6] :
( p(X6)
| ~ c )
<~> ( ? [X7] : p(X7)
| ~ c ) )
| ( c
<~> c )
| ( c
<~> c )
| ( ? [X10] :
( c
& p(X10) )
<~> ( c
& ? [X11] : p(X11) ) )
| ( ! [X12] :
( c
| p(X12) )
<~> ( c
| ! [X13] : p(X13) ) )
| ( ? [X15] :
( ~ p(X15)
& ? [X16] : p(X16) )
& ! [X14] : ~ p(X14) )
| ( ! [X18] : ~ p(X18)
& ! [X17] : p(X17) )
| ? [X19] :
( ~ p(X19)
& ! [X20] : p(X20) )
| ( ( ! [X22] : ~ q(X22)
| ! [X23] : ~ p(X23) )
& ? [X21] :
( q(X21)
& p(X21) ) )
| ! [X24] :
( ? [X25] : ~ p(X25)
& p(X24) )
| ( ? [X26] :
( q(X26)
| p(X26) )
<~> ( ? [X27] : q(X27)
| ? [X28] : p(X28) ) )
| ( ? [X31] :
( ~ q(X31)
& ~ p(X31) )
& ( ! [X29] : q(X29)
| ! [X30] : p(X30) ) )
| ( ! [X32] :
( q(X32)
& p(X32) )
<~> ( ! [X33] : q(X33)
& ! [X34] : p(X34) ) )
| ! [X35] :
? [X36] :
( ~ q(X35)
& p(X35)
& ( q(X35)
| ~ p(X36) ) )
| ( ! [X42] :
( h(X42)
| ~ g(X42)
| ~ f(X42) )
& ! [X41] :
( g(X41)
| ~ h(X41)
| ~ f(X41) )
& ( ! [X37] :
( h(X37)
| ~ f(X37) )
| ! [X38] :
( g(X38)
| ~ f(X38) ) )
& ( ? [X40] :
( ~ g(X40)
& f(X40) )
| ? [X39] :
( ~ h(X39)
& g(X39)
& f(X39) ) ) )
| ( ? [X48,X49] :
( ~ r(X48,X48)
& r(X48,X49) )
& ! [X43,X44,X45] :
( r(X43,X45)
| ~ r(X44,X45)
| ~ r(X43,X44) )
& ! [X46,X47] :
( r(X47,X46)
| ~ r(X46,X47) ) )
| ( ! [X55] :
( h(X55)
| ~ g(X55)
| ~ f(X55) )
& ! [X54] :
( g(X54)
| ~ h(X54)
| ~ f(X54) )
& ( ! [X50] :
( h(X50)
| ~ f(X50) )
| ! [X51] :
( g(X51)
| ~ f(X51) ) )
& ! [X52] :
( ? [X53] :
( ~ g(X53)
& f(X53) )
| ( ~ h(X52)
& g(X52)
& f(X52) ) ) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
( ( ! [X0] :
( c
| ~ p(X0) )
<~> ( c
| ! [X1] : ~ p(X1) ) )
| ( ! [X2] :
( p(X2)
| ~ c )
<~> ( ! [X3] : p(X3)
| ~ c ) )
| ( ? [X4] :
( c
| ~ p(X4) )
<~> ( c
| ? [X5] : ~ p(X5) ) )
| ( ? [X6] :
( p(X6)
| ~ c )
<~> ( ? [X7] : p(X7)
| ~ c ) )
| ( c
<~> c )
| ( c
<~> c )
| ( ? [X10] :
( c
& p(X10) )
<~> ( c
& ? [X11] : p(X11) ) )
| ( ! [X12] :
( c
| p(X12) )
<~> ( c
| ! [X13] : p(X13) ) )
| ( ? [X15] :
( ~ p(X15)
& ? [X16] : p(X16) )
& ! [X14] : ~ p(X14) )
| ( ! [X18] : ~ p(X18)
& ! [X17] : p(X17) )
| ? [X19] :
( ~ p(X19)
& ! [X20] : p(X20) )
| ( ( ! [X22] : ~ q(X22)
| ! [X23] : ~ p(X23) )
& ? [X21] :
( q(X21)
& p(X21) ) )
| ! [X24] :
( ? [X25] : ~ p(X25)
& p(X24) )
| ( ? [X26] :
( q(X26)
| p(X26) )
<~> ( ? [X27] : q(X27)
| ? [X28] : p(X28) ) )
| ( ? [X31] :
( ~ q(X31)
& ~ p(X31) )
& ( ! [X29] : q(X29)
| ! [X30] : p(X30) ) )
| ( ! [X32] :
( q(X32)
& p(X32) )
<~> ( ! [X33] : q(X33)
& ! [X34] : p(X34) ) )
| ! [X35] :
? [X36] :
( ~ q(X35)
& p(X35)
& ( q(X35)
| ~ p(X36) ) )
| ( ! [X42] :
( h(X42)
| ~ g(X42)
| ~ f(X42) )
& ! [X41] :
( g(X41)
| ~ h(X41)
| ~ f(X41) )
& ( ! [X37] :
( h(X37)
| ~ f(X37) )
| ! [X38] :
( g(X38)
| ~ f(X38) ) )
& ( ? [X40] :
( ~ g(X40)
& f(X40) )
| ? [X39] :
( ~ h(X39)
& g(X39)
& f(X39) ) ) )
| ( ? [X48,X49] :
( ~ r(X48,X48)
& r(X48,X49) )
& ! [X43,X44,X45] :
( r(X43,X45)
| ~ r(X44,X45)
| ~ r(X43,X44) )
& ! [X46,X47] :
( r(X47,X46)
| ~ r(X46,X47) ) )
| ( ! [X55] :
( h(X55)
| ~ g(X55)
| ~ f(X55) )
& ! [X54] :
( g(X54)
| ~ h(X54)
| ~ f(X54) )
& ( ! [X50] :
( h(X50)
| ~ f(X50) )
| ! [X51] :
( g(X51)
| ~ f(X51) ) )
& ! [X52] :
( ? [X53] :
( ~ g(X53)
& f(X53) )
| ( ~ h(X52)
& g(X52)
& f(X52) ) ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ( ! [X0] :
( p(X0)
=> c )
<=> ( ? [X1] : p(X1)
=> c ) )
& ( ! [X2] :
( c
=> p(X2) )
<=> ( c
=> ! [X3] : p(X3) ) )
& ( ? [X4] :
( p(X4)
=> c )
<=> ( ! [X5] : p(X5)
=> c ) )
& ( ? [X6] :
( c
=> p(X6) )
<=> ( c
=> ? [X7] : p(X7) ) )
& ( c
<=> c )
& ( c
<=> c )
& ( ? [X10] :
( c
& p(X10) )
<=> ( c
& ? [X11] : p(X11) ) )
& ( ! [X12] :
( c
| p(X12) )
<=> ( c
| ! [X13] : p(X13) ) )
& ( ~ ? [X14] : p(X14)
=> ! [X15] :
( ? [X16] : p(X16)
=> p(X15) ) )
& ( ! [X17] : p(X17)
=> ? [X18] : p(X18) )
& ! [X19] :
( ! [X20] : p(X20)
=> p(X19) )
& ( ? [X21] :
( q(X21)
& p(X21) )
=> ( ? [X22] : q(X22)
& ? [X23] : p(X23) ) )
& ? [X24] :
( p(X24)
=> ! [X25] : p(X25) )
& ( ? [X26] :
( q(X26)
| p(X26) )
<=> ( ? [X27] : q(X27)
| ? [X28] : p(X28) ) )
& ( ( ! [X29] : q(X29)
| ! [X30] : p(X30) )
=> ! [X31] :
( q(X31)
| p(X31) ) )
& ( ! [X32] :
( q(X32)
& p(X32) )
<=> ( ! [X33] : q(X33)
& ! [X34] : p(X34) ) )
& ? [X35] :
! [X36] :
( ( p(X36)
=> q(X35) )
=> ( p(X35)
=> q(X35) ) )
& ( ( ( ! [X37] :
( f(X37)
=> h(X37) )
| ! [X38] :
( f(X38)
=> g(X38) ) )
& ( ! [X39] :
( ( g(X39)
& f(X39) )
=> h(X39) )
=> ? [X40] :
( ~ g(X40)
& f(X40) ) ) )
=> ( ! [X41] :
( ( h(X41)
& f(X41) )
=> g(X41) )
=> ? [X42] :
( ~ h(X42)
& g(X42)
& f(X42) ) ) )
& ( ( ! [X43,X44,X45] :
( ( r(X44,X45)
& r(X43,X44) )
=> r(X43,X45) )
& ! [X46,X47] :
( r(X46,X47)
=> r(X47,X46) ) )
=> ! [X48,X49] :
( r(X48,X49)
=> r(X48,X48) ) )
& ( ( ( ! [X50] :
( f(X50)
=> h(X50) )
| ! [X51] :
( f(X51)
=> g(X51) ) )
& ! [X52] :
( ( ( g(X52)
& f(X52) )
=> h(X52) )
=> ? [X53] :
( ~ g(X53)
& f(X53) ) ) )
=> ( ! [X54] :
( ( h(X54)
& f(X54) )
=> g(X54) )
=> ? [X55] :
( ~ h(X55)
& g(X55)
& f(X55) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ! [X0] :
( p(X0)
=> c )
<=> ( ? [X0] : p(X0)
=> c ) )
& ( ! [X0] :
( c
=> p(X0) )
<=> ( c
=> ! [X0] : p(X0) ) )
& ( ? [X0] :
( p(X0)
=> c )
<=> ( ! [X0] : p(X0)
=> c ) )
& ( ? [X0] :
( c
=> p(X0) )
<=> ( c
=> ? [X0] : p(X0) ) )
& ( ! [X0] : c
<=> c )
& ( ? [X0] : c
<=> c )
& ( ? [X0] :
( c
& p(X0) )
<=> ( c
& ? [X0] : p(X0) ) )
& ( ! [X0] :
( c
| p(X0) )
<=> ( c
| ! [X0] : p(X0) ) )
& ( ~ ? [X1] : p(X1)
=> ! [X1] :
( ? [X0] : p(X0)
=> p(X1) ) )
& ( ! [X0] : p(X0)
=> ? [X0] : p(X0) )
& ! [X1] :
( ! [X0] : p(X0)
=> p(X1) )
& ( ? [X0] :
( q(X0)
& p(X0) )
=> ( ? [X0] : q(X0)
& ? [X0] : p(X0) ) )
& ? [X1] :
( p(X1)
=> ! [X0] : p(X0) )
& ( ? [X0] :
( q(X0)
| p(X0) )
<=> ( ? [X0] : q(X0)
| ? [X0] : p(X0) ) )
& ( ( ! [X0] : q(X0)
| ! [X0] : p(X0) )
=> ! [X0] :
( q(X0)
| p(X0) ) )
& ( ! [X0] :
( q(X0)
& p(X0) )
<=> ( ! [X0] : q(X0)
& ! [X0] : p(X0) ) )
& ? [X0] :
! [X1] :
( ( p(X1)
=> q(X0) )
=> ( p(X0)
=> q(X0) ) )
& ( ( ( ! [X3] :
( f(X3)
=> h(X3) )
| ! [X2] :
( f(X2)
=> g(X2) ) )
& ( ! [X0] :
( ( g(X0)
& f(X0) )
=> h(X0) )
=> ? [X0] :
( ~ g(X0)
& f(X0) ) ) )
=> ( ! [X4] :
( ( h(X4)
& f(X4) )
=> g(X4) )
=> ? [X5] :
( ~ h(X5)
& g(X5)
& f(X5) ) ) )
& ( ( ! [X0,X1,X3] :
( ( r(X1,X3)
& r(X0,X1) )
=> r(X0,X3) )
& ! [X0,X1] :
( r(X0,X1)
=> r(X1,X0) ) )
=> ! [X0,X1] :
( r(X0,X1)
=> r(X0,X0) ) )
& ( ( ( ! [X3] :
( f(X3)
=> h(X3) )
| ! [X2] :
( f(X2)
=> g(X2) ) )
& ! [X0] :
( ( ( g(X0)
& f(X0) )
=> h(X0) )
=> ? [X1] :
( ~ g(X1)
& f(X1) ) ) )
=> ( ! [X4] :
( ( h(X4)
& f(X4) )
=> g(X4) )
=> ? [X5] :
( ~ h(X5)
& g(X5)
& f(X5) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ! [X0] :
( p(X0)
=> c )
<=> ( ? [X0] : p(X0)
=> c ) )
& ( ! [X0] :
( c
=> p(X0) )
<=> ( c
=> ! [X0] : p(X0) ) )
& ( ? [X0] :
( p(X0)
=> c )
<=> ( ! [X0] : p(X0)
=> c ) )
& ( ? [X0] :
( c
=> p(X0) )
<=> ( c
=> ? [X0] : p(X0) ) )
& ( ! [X0] : c
<=> c )
& ( ? [X0] : c
<=> c )
& ( ? [X0] :
( c
& p(X0) )
<=> ( c
& ? [X0] : p(X0) ) )
& ( ! [X0] :
( c
| p(X0) )
<=> ( c
| ! [X0] : p(X0) ) )
& ( ~ ? [X1] : p(X1)
=> ! [X1] :
( ? [X0] : p(X0)
=> p(X1) ) )
& ( ! [X0] : p(X0)
=> ? [X0] : p(X0) )
& ! [X1] :
( ! [X0] : p(X0)
=> p(X1) )
& ( ? [X0] :
( q(X0)
& p(X0) )
=> ( ? [X0] : q(X0)
& ? [X0] : p(X0) ) )
& ? [X1] :
( p(X1)
=> ! [X0] : p(X0) )
& ( ? [X0] :
( q(X0)
| p(X0) )
<=> ( ? [X0] : q(X0)
| ? [X0] : p(X0) ) )
& ( ( ! [X0] : q(X0)
| ! [X0] : p(X0) )
=> ! [X0] :
( q(X0)
| p(X0) ) )
& ( ! [X0] :
( q(X0)
& p(X0) )
<=> ( ! [X0] : q(X0)
& ! [X0] : p(X0) ) )
& ? [X0] :
! [X1] :
( ( p(X1)
=> q(X0) )
=> ( p(X0)
=> q(X0) ) )
& ( ( ( ! [X3] :
( f(X3)
=> h(X3) )
| ! [X2] :
( f(X2)
=> g(X2) ) )
& ( ! [X0] :
( ( g(X0)
& f(X0) )
=> h(X0) )
=> ? [X0] :
( ~ g(X0)
& f(X0) ) ) )
=> ( ! [X4] :
( ( h(X4)
& f(X4) )
=> g(X4) )
=> ? [X5] :
( ~ h(X5)
& g(X5)
& f(X5) ) ) )
& ( ( ! [X0,X1,X3] :
( ( r(X1,X3)
& r(X0,X1) )
=> r(X0,X3) )
& ! [X0,X1] :
( r(X0,X1)
=> r(X1,X0) ) )
=> ! [X0,X1] :
( r(X0,X1)
=> r(X0,X0) ) )
& ( ( ( ! [X3] :
( f(X3)
=> h(X3) )
| ! [X2] :
( f(X2)
=> g(X2) ) )
& ! [X0] :
( ( ( g(X0)
& f(X0) )
=> h(X0) )
=> ? [X1] :
( ~ g(X1)
& f(X1) ) ) )
=> ( ! [X4] :
( ( h(X4)
& f(X4) )
=> g(X4) )
=> ? [X5] :
( ~ h(X5)
& g(X5)
& f(X5) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Q5KwOfIHHA/Vampire---4.8_12076',prove_this) ).
fof(f580,plain,
( spl49_60
| spl49_55
| spl49_49
| spl49_18
| spl49_44
| spl49_14
| spl49_39
| spl49_4
| spl49_10
| spl49_1
| spl49_9
| spl49_6
| spl49_36
| spl49_33
| spl49_21
| spl49_30
| spl49_27
| spl49_24
| spl49_20 ),
inference(avatar_split_clause,[],[f209,f316,f337,f354,f371,f320,f388,f405,f252,f266,f229,f270,f242,f422,f288,f447,f306,f472,f496,f518]) ).
fof(f209,plain,
! [X0] :
( sP12
| sP11
| sP10
| sP9
| c
| sP8
| sP7
| sP16
| ~ p(X0)
| sP18
| sP15
| sP17
| sP6
| sP14
| sP5
| sP13
| sP4
| sP3
| sP2 ),
inference(duplicate_literal_removal,[],[f201]) ).
fof(f201,plain,
! [X0] :
( sP12
| sP11
| sP10
| sP9
| c
| c
| c
| c
| sP8
| sP7
| sP16
| ~ p(X0)
| sP18
| sP15
| sP17
| sP6
| sP14
| sP5
| sP13
| sP4
| sP3
| sP2 ),
inference(cnf_transformation,[],[f119]) ).
fof(f579,plain,
( spl49_60
| spl49_55
| spl49_49
| spl49_18
| spl49_44
| spl49_14
| spl49_39
| spl49_4
| spl49_10
| spl49_1
| spl49_3
| spl49_6
| spl49_36
| spl49_33
| ~ spl49_21
| spl49_30
| spl49_27
| spl49_24
| spl49_20 ),
inference(avatar_split_clause,[],[f214,f316,f337,f354,f371,f320,f388,f405,f252,f238,f229,f270,f242,f422,f288,f447,f306,f472,f496,f518]) ).
fof(f214,plain,
! [X1] :
( sP12
| sP11
| sP10
| sP9
| ~ c
| sP8
| sP7
| sP16
| p(X1)
| sP18
| sP15
| sP17
| sP6
| sP14
| sP5
| sP13
| sP4
| sP3
| sP2 ),
inference(duplicate_literal_removal,[],[f206]) ).
fof(f206,plain,
! [X1] :
( sP12
| sP11
| sP10
| sP9
| ~ c
| ~ c
| ~ c
| ~ c
| sP8
| sP7
| sP16
| p(X1)
| sP18
| sP15
| sP17
| sP6
| sP14
| sP5
| sP13
| sP4
| sP3
| sP2 ),
inference(cnf_transformation,[],[f119]) ).
fof(f578,plain,
( spl49_60
| spl49_55
| spl49_49
| spl49_18
| spl49_44
| spl49_14
| spl49_39
| spl49_4
| spl49_10
| spl49_1
| spl49_9
| spl49_6
| spl49_36
| spl49_33
| ~ spl49_21
| spl49_30
| spl49_27
| spl49_24
| spl49_20 ),
inference(avatar_split_clause,[],[f215,f316,f337,f354,f371,f320,f388,f405,f252,f266,f229,f270,f242,f422,f288,f447,f306,f472,f496,f518]) ).
fof(f215,plain,
! [X0] :
( sP12
| sP11
| sP10
| sP9
| ~ c
| sP8
| sP7
| sP16
| ~ p(X0)
| sP18
| sP15
| sP17
| sP6
| sP14
| sP5
| sP13
| sP4
| sP3
| sP2 ),
inference(duplicate_literal_removal,[],[f207]) ).
fof(f207,plain,
! [X0] :
( sP12
| sP11
| sP10
| sP9
| ~ c
| ~ c
| ~ c
| ~ c
| sP8
| sP7
| sP16
| ~ p(X0)
| sP18
| sP15
| sP17
| sP6
| sP14
| sP5
| sP13
| sP4
| sP3
| sP2 ),
inference(cnf_transformation,[],[f119]) ).
fof(f577,plain,
( ~ spl49_61
| spl49_70
| spl49_71 ),
inference(avatar_split_clause,[],[f194,f572,f568,f525]) ).
fof(f525,plain,
( spl49_61
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_61])]) ).
fof(f194,plain,
! [X0] :
( f(sK48)
| f(X0)
| ~ sP0 ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
( ! [X0] :
( ( ~ g(sK48)
& f(sK48) )
| ( ~ h(X0)
& g(X0)
& f(X0) ) )
| ~ sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK48])],[f115,f116]) ).
fof(f116,plain,
( ? [X1] :
( ~ g(X1)
& f(X1) )
=> ( ~ g(sK48)
& f(sK48) ) ),
introduced(choice_axiom,[]) ).
fof(f115,plain,
( ! [X0] :
( ? [X1] :
( ~ g(X1)
& f(X1) )
| ( ~ h(X0)
& g(X0)
& f(X0) ) )
| ~ sP0 ),
inference(rectify,[],[f114]) ).
fof(f114,plain,
( ! [X52] :
( ? [X53] :
( ~ g(X53)
& f(X53) )
| ( ~ h(X52)
& g(X52)
& f(X52) ) )
| ~ sP0 ),
inference(nnf_transformation,[],[f6]) ).
fof(f575,plain,
( ~ spl49_61
| spl49_67
| spl49_71 ),
inference(avatar_split_clause,[],[f196,f572,f556,f525]) ).
fof(f196,plain,
! [X0] :
( f(sK48)
| ~ h(X0)
| ~ sP0 ),
inference(cnf_transformation,[],[f117]) ).
fof(f570,plain,
( ~ spl49_61
| spl49_70
| ~ spl49_68 ),
inference(avatar_split_clause,[],[f197,f559,f568,f525]) ).
fof(f197,plain,
! [X0] :
( ~ g(sK48)
| f(X0)
| ~ sP0 ),
inference(cnf_transformation,[],[f117]) ).
fof(f562,plain,
( ~ spl49_61
| spl49_67
| ~ spl49_68 ),
inference(avatar_split_clause,[],[f199,f559,f556,f525]) ).
fof(f199,plain,
! [X0] :
( ~ g(sK48)
| ~ h(X0)
| ~ sP0 ),
inference(cnf_transformation,[],[f117]) ).
fof(f554,plain,
( ~ spl49_54
| spl49_65
| spl49_66 ),
inference(avatar_split_clause,[],[f188,f549,f544,f491]) ).
fof(f491,plain,
( spl49_54
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_54])]) ).
fof(f188,plain,
( f(sK46)
| f(sK47)
| ~ sP1 ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
( ( ~ g(sK46)
& f(sK46) )
| ( ~ h(sK47)
& g(sK47)
& f(sK47) )
| ~ sP1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK46,sK47])],[f110,f112,f111]) ).
fof(f111,plain,
( ? [X0] :
( ~ g(X0)
& f(X0) )
=> ( ~ g(sK46)
& f(sK46) ) ),
introduced(choice_axiom,[]) ).
fof(f112,plain,
( ? [X1] :
( ~ h(X1)
& g(X1)
& f(X1) )
=> ( ~ h(sK47)
& g(sK47)
& f(sK47) ) ),
introduced(choice_axiom,[]) ).
fof(f110,plain,
( ? [X0] :
( ~ g(X0)
& f(X0) )
| ? [X1] :
( ~ h(X1)
& g(X1)
& f(X1) )
| ~ sP1 ),
inference(rectify,[],[f109]) ).
fof(f109,plain,
( ? [X40] :
( ~ g(X40)
& f(X40) )
| ? [X39] :
( ~ h(X39)
& g(X39)
& f(X39) )
| ~ sP1 ),
inference(nnf_transformation,[],[f7]) ).
fof(f552,plain,
( ~ spl49_54
| ~ spl49_62
| spl49_66 ),
inference(avatar_split_clause,[],[f190,f549,f530,f491]) ).
fof(f190,plain,
( f(sK46)
| ~ h(sK47)
| ~ sP1 ),
inference(cnf_transformation,[],[f113]) ).
fof(f547,plain,
( ~ spl49_54
| spl49_65
| ~ spl49_63 ),
inference(avatar_split_clause,[],[f191,f534,f544,f491]) ).
fof(f191,plain,
( ~ g(sK46)
| f(sK47)
| ~ sP1 ),
inference(cnf_transformation,[],[f113]) ).
fof(f537,plain,
( ~ spl49_54
| ~ spl49_62
| ~ spl49_63 ),
inference(avatar_split_clause,[],[f193,f534,f530,f491]) ).
fof(f193,plain,
( ~ g(sK46)
| ~ h(sK47)
| ~ sP1 ),
inference(cnf_transformation,[],[f113]) ).
fof(f528,plain,
( ~ spl49_60
| spl49_61 ),
inference(avatar_split_clause,[],[f184,f525,f518]) ).
fof(f184,plain,
( sP0
| ~ sP2 ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
( ( ! [X0] :
( h(X0)
| ~ g(X0)
| ~ f(X0) )
& ! [X1] :
( g(X1)
| ~ h(X1)
| ~ f(X1) )
& ( ! [X2] :
( h(X2)
| ~ f(X2) )
| ! [X3] :
( g(X3)
| ~ f(X3) ) )
& sP0 )
| ~ sP2 ),
inference(rectify,[],[f107]) ).
fof(f107,plain,
( ( ! [X55] :
( h(X55)
| ~ g(X55)
| ~ f(X55) )
& ! [X54] :
( g(X54)
| ~ h(X54)
| ~ f(X54) )
& ( ! [X50] :
( h(X50)
| ~ f(X50) )
| ! [X51] :
( g(X51)
| ~ f(X51) ) )
& sP0 )
| ~ sP2 ),
inference(nnf_transformation,[],[f8]) ).
fof(f523,plain,
( ~ spl49_60
| spl49_52
| spl49_53 ),
inference(avatar_split_clause,[],[f185,f487,f484,f518]) ).
fof(f185,plain,
! [X2,X3] :
( h(X2)
| ~ f(X2)
| g(X3)
| ~ f(X3)
| ~ sP2 ),
inference(cnf_transformation,[],[f108]) ).
fof(f522,plain,
( ~ spl49_60
| spl49_51 ),
inference(avatar_split_clause,[],[f186,f480,f518]) ).
fof(f186,plain,
! [X1] :
( g(X1)
| ~ h(X1)
| ~ f(X1)
| ~ sP2 ),
inference(cnf_transformation,[],[f108]) ).
fof(f521,plain,
( ~ spl49_60
| spl49_50 ),
inference(avatar_split_clause,[],[f187,f476,f518]) ).
fof(f187,plain,
! [X0] :
( h(X0)
| ~ g(X0)
| ~ f(X0)
| ~ sP2 ),
inference(cnf_transformation,[],[f108]) ).
fof(f516,plain,
( ~ spl49_55
| spl49_59 ),
inference(avatar_split_clause,[],[f180,f514,f496]) ).
fof(f180,plain,
! [X6,X5] :
( r(X6,X5)
| ~ r(X5,X6)
| ~ sP3 ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
( ( ~ r(sK44,sK44)
& r(sK44,sK45)
& ! [X2,X3,X4] :
( r(X2,X4)
| ~ r(X3,X4)
| ~ r(X2,X3) )
& ! [X5,X6] :
( r(X6,X5)
| ~ r(X5,X6) ) )
| ~ sP3 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK44,sK45])],[f104,f105]) ).
fof(f105,plain,
( ? [X0,X1] :
( ~ r(X0,X0)
& r(X0,X1) )
=> ( ~ r(sK44,sK44)
& r(sK44,sK45) ) ),
introduced(choice_axiom,[]) ).
fof(f104,plain,
( ( ? [X0,X1] :
( ~ r(X0,X0)
& r(X0,X1) )
& ! [X2,X3,X4] :
( r(X2,X4)
| ~ r(X3,X4)
| ~ r(X2,X3) )
& ! [X5,X6] :
( r(X6,X5)
| ~ r(X5,X6) ) )
| ~ sP3 ),
inference(rectify,[],[f103]) ).
fof(f103,plain,
( ( ? [X48,X49] :
( ~ r(X48,X48)
& r(X48,X49) )
& ! [X43,X44,X45] :
( r(X43,X45)
| ~ r(X44,X45)
| ~ r(X43,X44) )
& ! [X46,X47] :
( r(X47,X46)
| ~ r(X46,X47) ) )
| ~ sP3 ),
inference(nnf_transformation,[],[f9]) ).
fof(f512,plain,
( ~ spl49_55
| spl49_58 ),
inference(avatar_split_clause,[],[f181,f510,f496]) ).
fof(f181,plain,
! [X2,X3,X4] :
( r(X2,X4)
| ~ r(X3,X4)
| ~ r(X2,X3)
| ~ sP3 ),
inference(cnf_transformation,[],[f106]) ).
fof(f508,plain,
( ~ spl49_55
| spl49_57 ),
inference(avatar_split_clause,[],[f182,f505,f496]) ).
fof(f182,plain,
( r(sK44,sK45)
| ~ sP3 ),
inference(cnf_transformation,[],[f106]) ).
fof(f503,plain,
( ~ spl49_55
| ~ spl49_56 ),
inference(avatar_split_clause,[],[f183,f500,f496]) ).
fof(f183,plain,
( ~ r(sK44,sK44)
| ~ sP3 ),
inference(cnf_transformation,[],[f106]) ).
fof(f494,plain,
( ~ spl49_49
| spl49_54 ),
inference(avatar_split_clause,[],[f176,f491,f472]) ).
fof(f176,plain,
( sP1
| ~ sP4 ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
( ( ! [X0] :
( h(X0)
| ~ g(X0)
| ~ f(X0) )
& ! [X1] :
( g(X1)
| ~ h(X1)
| ~ f(X1) )
& ( ! [X2] :
( h(X2)
| ~ f(X2) )
| ! [X3] :
( g(X3)
| ~ f(X3) ) )
& sP1 )
| ~ sP4 ),
inference(rectify,[],[f101]) ).
fof(f101,plain,
( ( ! [X42] :
( h(X42)
| ~ g(X42)
| ~ f(X42) )
& ! [X41] :
( g(X41)
| ~ h(X41)
| ~ f(X41) )
& ( ! [X37] :
( h(X37)
| ~ f(X37) )
| ! [X38] :
( g(X38)
| ~ f(X38) ) )
& sP1 )
| ~ sP4 ),
inference(nnf_transformation,[],[f10]) ).
fof(f489,plain,
( ~ spl49_49
| spl49_52
| spl49_53 ),
inference(avatar_split_clause,[],[f177,f487,f484,f472]) ).
fof(f177,plain,
! [X2,X3] :
( h(X2)
| ~ f(X2)
| g(X3)
| ~ f(X3)
| ~ sP4 ),
inference(cnf_transformation,[],[f102]) ).
fof(f482,plain,
( ~ spl49_49
| spl49_51 ),
inference(avatar_split_clause,[],[f178,f480,f472]) ).
fof(f178,plain,
! [X1] :
( g(X1)
| ~ h(X1)
| ~ f(X1)
| ~ sP4 ),
inference(cnf_transformation,[],[f102]) ).
fof(f478,plain,
( ~ spl49_49
| spl49_50 ),
inference(avatar_split_clause,[],[f179,f476,f472]) ).
fof(f179,plain,
! [X0] :
( h(X0)
| ~ g(X0)
| ~ f(X0)
| ~ sP4 ),
inference(cnf_transformation,[],[f102]) ).
fof(f470,plain,
( ~ spl49_44
| spl49_3
| spl49_3 ),
inference(avatar_split_clause,[],[f171,f238,f238,f447]) ).
fof(f171,plain,
! [X4,X5] :
( p(X4)
| p(X5)
| ~ sP5 ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
( ( ( ~ q(sK41)
| ~ p(sK42)
| ~ q(sK43)
| ~ p(sK43) )
& ( ( ! [X3] : q(X3)
& ! [X4] : p(X4) )
| ! [X5] :
( q(X5)
& p(X5) ) ) )
| ~ sP5 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK41,sK42,sK43])],[f96,f99,f98,f97]) ).
fof(f97,plain,
( ? [X0] : ~ q(X0)
=> ~ q(sK41) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
( ? [X1] : ~ p(X1)
=> ~ p(sK42) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
( ? [X2] :
( ~ q(X2)
| ~ p(X2) )
=> ( ~ q(sK43)
| ~ p(sK43) ) ),
introduced(choice_axiom,[]) ).
fof(f96,plain,
( ( ( ? [X0] : ~ q(X0)
| ? [X1] : ~ p(X1)
| ? [X2] :
( ~ q(X2)
| ~ p(X2) ) )
& ( ( ! [X3] : q(X3)
& ! [X4] : p(X4) )
| ! [X5] :
( q(X5)
& p(X5) ) ) )
| ~ sP5 ),
inference(rectify,[],[f95]) ).
fof(f95,plain,
( ( ( ? [X33] : ~ q(X33)
| ? [X34] : ~ p(X34)
| ? [X32] :
( ~ q(X32)
| ~ p(X32) ) )
& ( ( ! [X33] : q(X33)
& ! [X34] : p(X34) )
| ! [X32] :
( q(X32)
& p(X32) ) ) )
| ~ sP5 ),
inference(flattening,[],[f94]) ).
fof(f94,plain,
( ( ( ? [X33] : ~ q(X33)
| ? [X34] : ~ p(X34)
| ? [X32] :
( ~ q(X32)
| ~ p(X32) ) )
& ( ( ! [X33] : q(X33)
& ! [X34] : p(X34) )
| ! [X32] :
( q(X32)
& p(X32) ) ) )
| ~ sP5 ),
inference(nnf_transformation,[],[f11]) ).
fof(f467,plain,
( ~ spl49_44
| spl49_17
| spl49_17 ),
inference(avatar_split_clause,[],[f174,f302,f302,f447]) ).
fof(f174,plain,
! [X3,X5] :
( q(X3)
| q(X5)
| ~ sP5 ),
inference(cnf_transformation,[],[f100]) ).
fof(f466,plain,
( ~ spl49_44
| ~ spl49_45
| ~ spl49_46
| ~ spl49_47
| ~ spl49_48 ),
inference(avatar_split_clause,[],[f175,f463,f459,f455,f451,f447]) ).
fof(f175,plain,
( ~ q(sK41)
| ~ p(sK42)
| ~ q(sK43)
| ~ p(sK43)
| ~ sP5 ),
inference(cnf_transformation,[],[f100]) ).
fof(f445,plain,
( ~ spl49_39
| spl49_40
| spl49_41
| spl49_42
| spl49_43 ),
inference(avatar_split_clause,[],[f166,f442,f438,f434,f430,f422]) ).
fof(f166,plain,
( q(sK38)
| p(sK39)
| q(sK40)
| p(sK40)
| ~ sP6 ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
( ( ( ( ! [X0] : ~ q(X0)
& ! [X1] : ~ p(X1) )
| ! [X2] :
( ~ q(X2)
& ~ p(X2) ) )
& ( q(sK38)
| p(sK39)
| q(sK40)
| p(sK40) ) )
| ~ sP6 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK38,sK39,sK40])],[f89,f92,f91,f90]) ).
fof(f90,plain,
( ? [X3] : q(X3)
=> q(sK38) ),
introduced(choice_axiom,[]) ).
fof(f91,plain,
( ? [X4] : p(X4)
=> p(sK39) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
( ? [X5] :
( q(X5)
| p(X5) )
=> ( q(sK40)
| p(sK40) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
( ( ( ( ! [X0] : ~ q(X0)
& ! [X1] : ~ p(X1) )
| ! [X2] :
( ~ q(X2)
& ~ p(X2) ) )
& ( ? [X3] : q(X3)
| ? [X4] : p(X4)
| ? [X5] :
( q(X5)
| p(X5) ) ) )
| ~ sP6 ),
inference(rectify,[],[f88]) ).
fof(f88,plain,
( ( ( ( ! [X27] : ~ q(X27)
& ! [X28] : ~ p(X28) )
| ! [X26] :
( ~ q(X26)
& ~ p(X26) ) )
& ( ? [X27] : q(X27)
| ? [X28] : p(X28)
| ? [X26] :
( q(X26)
| p(X26) ) ) )
| ~ sP6 ),
inference(flattening,[],[f87]) ).
fof(f87,plain,
( ( ( ( ! [X27] : ~ q(X27)
& ! [X28] : ~ p(X28) )
| ! [X26] :
( ~ q(X26)
& ~ p(X26) ) )
& ( ? [X27] : q(X27)
| ? [X28] : p(X28)
| ? [X26] :
( q(X26)
| p(X26) ) ) )
| ~ sP6 ),
inference(nnf_transformation,[],[f12]) ).
fof(f428,plain,
( ~ spl49_39
| spl49_9
| spl49_9 ),
inference(avatar_split_clause,[],[f167,f266,f266,f422]) ).
fof(f167,plain,
! [X2,X1] :
( ~ p(X1)
| ~ p(X2)
| ~ sP6 ),
inference(cnf_transformation,[],[f93]) ).
fof(f425,plain,
( ~ spl49_39
| spl49_11
| spl49_11 ),
inference(avatar_split_clause,[],[f170,f274,f274,f422]) ).
fof(f170,plain,
! [X2,X0] :
( ~ q(X0)
| ~ q(X2)
| ~ sP6 ),
inference(cnf_transformation,[],[f93]) ).
fof(f420,plain,
( ~ spl49_36
| spl49_3
| spl49_3
| spl49_21 ),
inference(avatar_split_clause,[],[f216,f320,f238,f238,f405]) ).
fof(f216,plain,
! [X2,X3] :
( c
| p(X2)
| p(X3)
| ~ sP7 ),
inference(duplicate_literal_removal,[],[f161]) ).
fof(f161,plain,
! [X2,X3] :
( c
| p(X2)
| c
| p(X3)
| ~ sP7 ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
( ( ( ( ~ c
& ~ p(sK36) )
| ( ~ c
& ~ p(sK37) ) )
& ( c
| ! [X2] : p(X2)
| ! [X3] :
( c
| p(X3) ) ) )
| ~ sP7 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK36,sK37])],[f83,f85,f84]) ).
fof(f84,plain,
( ? [X0] : ~ p(X0)
=> ~ p(sK36) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
( ? [X1] :
( ~ c
& ~ p(X1) )
=> ( ~ c
& ~ p(sK37) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
( ( ( ( ~ c
& ? [X0] : ~ p(X0) )
| ? [X1] :
( ~ c
& ~ p(X1) ) )
& ( c
| ! [X2] : p(X2)
| ! [X3] :
( c
| p(X3) ) ) )
| ~ sP7 ),
inference(rectify,[],[f82]) ).
fof(f82,plain,
( ( ( ( ~ c
& ? [X13] : ~ p(X13) )
| ? [X12] :
( ~ c
& ~ p(X12) ) )
& ( c
| ! [X13] : p(X13)
| ! [X12] :
( c
| p(X12) ) ) )
| ~ sP7 ),
inference(flattening,[],[f81]) ).
fof(f81,plain,
( ( ( ( ~ c
& ? [X13] : ~ p(X13) )
| ? [X12] :
( ~ c
& ~ p(X12) ) )
& ( c
| ! [X13] : p(X13)
| ! [X12] :
( c
| p(X12) ) ) )
| ~ sP7 ),
inference(nnf_transformation,[],[f13]) ).
fof(f419,plain,
( ~ spl49_36
| ~ spl49_37
| ~ spl49_38 ),
inference(avatar_split_clause,[],[f162,f415,f410,f405]) ).
fof(f162,plain,
( ~ p(sK36)
| ~ p(sK37)
| ~ sP7 ),
inference(cnf_transformation,[],[f86]) ).
fof(f408,plain,
( ~ spl49_36
| ~ spl49_21 ),
inference(avatar_split_clause,[],[f217,f320,f405]) ).
fof(f217,plain,
( ~ c
| ~ sP7 ),
inference(duplicate_literal_removal,[],[f165]) ).
fof(f165,plain,
( ~ c
| ~ c
| ~ sP7 ),
inference(cnf_transformation,[],[f86]) ).
fof(f403,plain,
( ~ spl49_33
| spl49_34
| spl49_35 ),
inference(avatar_split_clause,[],[f156,f399,f394,f388]) ).
fof(f156,plain,
( p(sK34)
| p(sK35)
| ~ sP8 ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
( ( ( ~ c
| ! [X0] : ~ p(X0)
| ! [X1] :
( ~ c
| ~ p(X1) ) )
& ( ( c
& p(sK34) )
| ( c
& p(sK35) ) ) )
| ~ sP8 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK34,sK35])],[f77,f79,f78]) ).
fof(f78,plain,
( ? [X2] : p(X2)
=> p(sK34) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
( ? [X3] :
( c
& p(X3) )
=> ( c
& p(sK35) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
( ( ( ~ c
| ! [X0] : ~ p(X0)
| ! [X1] :
( ~ c
| ~ p(X1) ) )
& ( ( c
& ? [X2] : p(X2) )
| ? [X3] :
( c
& p(X3) ) ) )
| ~ sP8 ),
inference(rectify,[],[f76]) ).
fof(f76,plain,
( ( ( ~ c
| ! [X11] : ~ p(X11)
| ! [X10] :
( ~ c
| ~ p(X10) ) )
& ( ( c
& ? [X11] : p(X11) )
| ? [X10] :
( c
& p(X10) ) ) )
| ~ sP8 ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
( ( ( ~ c
| ! [X11] : ~ p(X11)
| ! [X10] :
( ~ c
| ~ p(X10) ) )
& ( ( c
& ? [X11] : p(X11) )
| ? [X10] :
( c
& p(X10) ) ) )
| ~ sP8 ),
inference(nnf_transformation,[],[f14]) ).
fof(f392,plain,
( ~ spl49_33
| spl49_21 ),
inference(avatar_split_clause,[],[f218,f320,f388]) ).
fof(f218,plain,
( c
| ~ sP8 ),
inference(duplicate_literal_removal,[],[f159]) ).
fof(f159,plain,
( c
| c
| ~ sP8 ),
inference(cnf_transformation,[],[f80]) ).
fof(f391,plain,
( ~ spl49_33
| spl49_9
| spl49_9
| ~ spl49_21 ),
inference(avatar_split_clause,[],[f219,f320,f266,f266,f388]) ).
fof(f219,plain,
! [X0,X1] :
( ~ c
| ~ p(X0)
| ~ p(X1)
| ~ sP8 ),
inference(duplicate_literal_removal,[],[f160]) ).
fof(f160,plain,
! [X0,X1] :
( ~ c
| ~ p(X0)
| ~ c
| ~ p(X1)
| ~ sP8 ),
inference(cnf_transformation,[],[f80]) ).
fof(f386,plain,
( ~ spl49_30
| spl49_31
| ~ spl49_21
| spl49_32 ),
inference(avatar_split_clause,[],[f220,f383,f320,f379,f371]) ).
fof(f220,plain,
( p(sK32)
| ~ c
| p(sK33)
| ~ sP9 ),
inference(duplicate_literal_removal,[],[f151]) ).
fof(f151,plain,
( p(sK32)
| ~ c
| p(sK33)
| ~ c
| ~ sP9 ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
( ( ( ( ! [X0] : ~ p(X0)
& c )
| ! [X1] :
( ~ p(X1)
& c ) )
& ( p(sK32)
| ~ c
| p(sK33)
| ~ c ) )
| ~ sP9 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK32,sK33])],[f71,f73,f72]) ).
fof(f72,plain,
( ? [X2] : p(X2)
=> p(sK32) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
( ? [X3] :
( p(X3)
| ~ c )
=> ( p(sK33)
| ~ c ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
( ( ( ( ! [X0] : ~ p(X0)
& c )
| ! [X1] :
( ~ p(X1)
& c ) )
& ( ? [X2] : p(X2)
| ~ c
| ? [X3] :
( p(X3)
| ~ c ) ) )
| ~ sP9 ),
inference(rectify,[],[f70]) ).
fof(f70,plain,
( ( ( ( ! [X7] : ~ p(X7)
& c )
| ! [X6] :
( ~ p(X6)
& c ) )
& ( ? [X7] : p(X7)
| ~ c
| ? [X6] :
( p(X6)
| ~ c ) ) )
| ~ sP9 ),
inference(flattening,[],[f69]) ).
fof(f69,plain,
( ( ( ( ! [X7] : ~ p(X7)
& c )
| ! [X6] :
( ~ p(X6)
& c ) )
& ( ? [X7] : p(X7)
| ~ c
| ? [X6] :
( p(X6)
| ~ c ) ) )
| ~ sP9 ),
inference(nnf_transformation,[],[f15]) ).
fof(f377,plain,
( ~ spl49_30
| spl49_21 ),
inference(avatar_split_clause,[],[f221,f320,f371]) ).
fof(f221,plain,
( c
| ~ sP9 ),
inference(duplicate_literal_removal,[],[f152]) ).
fof(f152,plain,
( c
| c
| ~ sP9 ),
inference(cnf_transformation,[],[f74]) ).
fof(f374,plain,
( ~ spl49_30
| spl49_9
| spl49_9 ),
inference(avatar_split_clause,[],[f155,f266,f266,f371]) ).
fof(f155,plain,
! [X0,X1] :
( ~ p(X0)
| ~ p(X1)
| ~ sP9 ),
inference(cnf_transformation,[],[f74]) ).
fof(f369,plain,
( ~ spl49_27
| ~ spl49_28
| ~ spl49_29
| spl49_21 ),
inference(avatar_split_clause,[],[f222,f320,f366,f362,f354]) ).
fof(f222,plain,
( c
| ~ p(sK30)
| ~ p(sK31)
| ~ sP10 ),
inference(duplicate_literal_removal,[],[f146]) ).
fof(f146,plain,
( c
| ~ p(sK30)
| c
| ~ p(sK31)
| ~ sP10 ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
( ( ( ( ~ c
& ! [X0] : p(X0) )
| ! [X1] :
( ~ c
& p(X1) ) )
& ( c
| ~ p(sK30)
| c
| ~ p(sK31) ) )
| ~ sP10 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30,sK31])],[f65,f67,f66]) ).
fof(f66,plain,
( ? [X2] : ~ p(X2)
=> ~ p(sK30) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
( ? [X3] :
( c
| ~ p(X3) )
=> ( c
| ~ p(sK31) ) ),
introduced(choice_axiom,[]) ).
fof(f65,plain,
( ( ( ( ~ c
& ! [X0] : p(X0) )
| ! [X1] :
( ~ c
& p(X1) ) )
& ( c
| ? [X2] : ~ p(X2)
| ? [X3] :
( c
| ~ p(X3) ) ) )
| ~ sP10 ),
inference(rectify,[],[f64]) ).
fof(f64,plain,
( ( ( ( ~ c
& ! [X5] : p(X5) )
| ! [X4] :
( ~ c
& p(X4) ) )
& ( c
| ? [X5] : ~ p(X5)
| ? [X4] :
( c
| ~ p(X4) ) ) )
| ~ sP10 ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
( ( ( ( ~ c
& ! [X5] : p(X5) )
| ! [X4] :
( ~ c
& p(X4) ) )
& ( c
| ? [X5] : ~ p(X5)
| ? [X4] :
( c
| ~ p(X4) ) ) )
| ~ sP10 ),
inference(nnf_transformation,[],[f16]) ).
fof(f360,plain,
( ~ spl49_27
| spl49_3
| spl49_3 ),
inference(avatar_split_clause,[],[f147,f238,f238,f354]) ).
fof(f147,plain,
! [X0,X1] :
( p(X0)
| p(X1)
| ~ sP10 ),
inference(cnf_transformation,[],[f68]) ).
fof(f357,plain,
( ~ spl49_27
| ~ spl49_21 ),
inference(avatar_split_clause,[],[f223,f320,f354]) ).
fof(f223,plain,
( ~ c
| ~ sP10 ),
inference(duplicate_literal_removal,[],[f150]) ).
fof(f150,plain,
( ~ c
| ~ c
| ~ sP10 ),
inference(cnf_transformation,[],[f68]) ).
fof(f352,plain,
( ~ spl49_24
| spl49_3
| ~ spl49_21
| spl49_3 ),
inference(avatar_split_clause,[],[f224,f238,f320,f238,f337]) ).
fof(f224,plain,
! [X2,X3] :
( p(X2)
| ~ c
| p(X3)
| ~ sP11 ),
inference(duplicate_literal_removal,[],[f141]) ).
fof(f141,plain,
! [X2,X3] :
( p(X2)
| ~ c
| p(X3)
| ~ c
| ~ sP11 ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
( ( ( ( ~ p(sK28)
& c )
| ( ~ p(sK29)
& c ) )
& ( ! [X2] : p(X2)
| ~ c
| ! [X3] :
( p(X3)
| ~ c ) ) )
| ~ sP11 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28,sK29])],[f59,f61,f60]) ).
fof(f60,plain,
( ? [X0] : ~ p(X0)
=> ~ p(sK28) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
( ? [X1] :
( ~ p(X1)
& c )
=> ( ~ p(sK29)
& c ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
( ( ( ( ? [X0] : ~ p(X0)
& c )
| ? [X1] :
( ~ p(X1)
& c ) )
& ( ! [X2] : p(X2)
| ~ c
| ! [X3] :
( p(X3)
| ~ c ) ) )
| ~ sP11 ),
inference(rectify,[],[f58]) ).
fof(f58,plain,
( ( ( ( ? [X3] : ~ p(X3)
& c )
| ? [X2] :
( ~ p(X2)
& c ) )
& ( ! [X3] : p(X3)
| ~ c
| ! [X2] :
( p(X2)
| ~ c ) ) )
| ~ sP11 ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
( ( ( ( ? [X3] : ~ p(X3)
& c )
| ? [X2] :
( ~ p(X2)
& c ) )
& ( ! [X3] : p(X3)
| ~ c
| ! [X2] :
( p(X2)
| ~ c ) ) )
| ~ sP11 ),
inference(nnf_transformation,[],[f17]) ).
fof(f351,plain,
( ~ spl49_24
| spl49_21 ),
inference(avatar_split_clause,[],[f225,f320,f337]) ).
fof(f225,plain,
( c
| ~ sP11 ),
inference(duplicate_literal_removal,[],[f142]) ).
fof(f142,plain,
( c
| c
| ~ sP11 ),
inference(cnf_transformation,[],[f62]) ).
fof(f348,plain,
( ~ spl49_24
| ~ spl49_25
| ~ spl49_26 ),
inference(avatar_split_clause,[],[f145,f345,f341,f337]) ).
fof(f145,plain,
( ~ p(sK28)
| ~ p(sK29)
| ~ sP11 ),
inference(cnf_transformation,[],[f62]) ).
fof(f335,plain,
( ~ spl49_20
| spl49_9
| spl49_9
| spl49_21 ),
inference(avatar_split_clause,[],[f226,f320,f266,f266,f316]) ).
fof(f226,plain,
! [X2,X3] :
( c
| ~ p(X2)
| ~ p(X3)
| ~ sP12 ),
inference(duplicate_literal_removal,[],[f136]) ).
fof(f136,plain,
! [X2,X3] :
( c
| ~ p(X2)
| c
| ~ p(X3)
| ~ sP12 ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
( ( ( ( ~ c
& p(sK26) )
| ( ~ c
& p(sK27) ) )
& ( c
| ! [X2] : ~ p(X2)
| ! [X3] :
( c
| ~ p(X3) ) ) )
| ~ sP12 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26,sK27])],[f53,f55,f54]) ).
fof(f54,plain,
( ? [X0] : p(X0)
=> p(sK26) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
( ? [X1] :
( ~ c
& p(X1) )
=> ( ~ c
& p(sK27) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
( ( ( ( ~ c
& ? [X0] : p(X0) )
| ? [X1] :
( ~ c
& p(X1) ) )
& ( c
| ! [X2] : ~ p(X2)
| ! [X3] :
( c
| ~ p(X3) ) ) )
| ~ sP12 ),
inference(rectify,[],[f52]) ).
fof(f52,plain,
( ( ( ( ~ c
& ? [X1] : p(X1) )
| ? [X0] :
( ~ c
& p(X0) ) )
& ( c
| ! [X1] : ~ p(X1)
| ! [X0] :
( c
| ~ p(X0) ) ) )
| ~ sP12 ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
( ( ( ( ~ c
& ? [X1] : p(X1) )
| ? [X0] :
( ~ c
& p(X0) ) )
& ( c
| ! [X1] : ~ p(X1)
| ! [X0] :
( c
| ~ p(X0) ) ) )
| ~ sP12 ),
inference(nnf_transformation,[],[f18]) ).
fof(f334,plain,
( ~ spl49_20
| spl49_22
| spl49_23 ),
inference(avatar_split_clause,[],[f137,f330,f325,f316]) ).
fof(f137,plain,
( p(sK26)
| p(sK27)
| ~ sP12 ),
inference(cnf_transformation,[],[f56]) ).
fof(f323,plain,
( ~ spl49_20
| ~ spl49_21 ),
inference(avatar_split_clause,[],[f227,f320,f316]) ).
fof(f227,plain,
( ~ c
| ~ sP12 ),
inference(duplicate_literal_removal,[],[f140]) ).
fof(f140,plain,
( ~ c
| ~ c
| ~ sP12 ),
inference(cnf_transformation,[],[f56]) ).
fof(f314,plain,
( ~ spl49_18
| spl49_19 ),
inference(avatar_split_clause,[],[f133,f312,f306]) ).
fof(f133,plain,
! [X0] :
( q(X0)
| ~ p(sK25(X0))
| ~ sP13 ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( ! [X0] :
( ~ q(X0)
& p(X0)
& ( q(X0)
| ~ p(sK25(X0)) ) )
| ~ sP13 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f48,f49]) ).
fof(f49,plain,
! [X0] :
( ? [X1] :
( ~ q(X0)
& p(X0)
& ( q(X0)
| ~ p(X1) ) )
=> ( ~ q(X0)
& p(X0)
& ( q(X0)
| ~ p(sK25(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
( ! [X0] :
? [X1] :
( ~ q(X0)
& p(X0)
& ( q(X0)
| ~ p(X1) ) )
| ~ sP13 ),
inference(rectify,[],[f47]) ).
fof(f47,plain,
( ! [X35] :
? [X36] :
( ~ q(X35)
& p(X35)
& ( q(X35)
| ~ p(X36) ) )
| ~ sP13 ),
inference(nnf_transformation,[],[f19]) ).
fof(f310,plain,
( ~ spl49_18
| spl49_3 ),
inference(avatar_split_clause,[],[f134,f238,f306]) ).
fof(f134,plain,
! [X0] :
( p(X0)
| ~ sP13 ),
inference(cnf_transformation,[],[f50]) ).
fof(f309,plain,
( ~ spl49_18
| spl49_11 ),
inference(avatar_split_clause,[],[f135,f274,f306]) ).
fof(f135,plain,
! [X0] :
( ~ q(X0)
| ~ sP13 ),
inference(cnf_transformation,[],[f50]) ).
fof(f304,plain,
( ~ spl49_14
| spl49_3
| spl49_17 ),
inference(avatar_split_clause,[],[f130,f302,f238,f288]) ).
fof(f130,plain,
! [X2,X1] :
( q(X1)
| p(X2)
| ~ sP14 ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( ( ~ q(sK24)
& ~ p(sK24)
& ( ! [X1] : q(X1)
| ! [X2] : p(X2) ) )
| ~ sP14 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f44,f45]) ).
fof(f45,plain,
( ? [X0] :
( ~ q(X0)
& ~ p(X0) )
=> ( ~ q(sK24)
& ~ p(sK24) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
( ( ? [X0] :
( ~ q(X0)
& ~ p(X0) )
& ( ! [X1] : q(X1)
| ! [X2] : p(X2) ) )
| ~ sP14 ),
inference(rectify,[],[f43]) ).
fof(f43,plain,
( ( ? [X31] :
( ~ q(X31)
& ~ p(X31) )
& ( ! [X29] : q(X29)
| ! [X30] : p(X30) ) )
| ~ sP14 ),
inference(nnf_transformation,[],[f20]) ).
fof(f300,plain,
( ~ spl49_14
| ~ spl49_16 ),
inference(avatar_split_clause,[],[f131,f297,f288]) ).
fof(f131,plain,
( ~ p(sK24)
| ~ sP14 ),
inference(cnf_transformation,[],[f46]) ).
fof(f295,plain,
( ~ spl49_14
| ~ spl49_15 ),
inference(avatar_split_clause,[],[f132,f292,f288]) ).
fof(f132,plain,
( ~ q(sK24)
| ~ sP14 ),
inference(cnf_transformation,[],[f46]) ).
fof(f286,plain,
( ~ spl49_10
| spl49_13 ),
inference(avatar_split_clause,[],[f127,f283,f270]) ).
fof(f127,plain,
( p(sK23)
| ~ sP15 ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
( ( ( ! [X0] : ~ q(X0)
| ! [X1] : ~ p(X1) )
& q(sK23)
& p(sK23) )
| ~ sP15 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f40,f41]) ).
fof(f41,plain,
( ? [X2] :
( q(X2)
& p(X2) )
=> ( q(sK23)
& p(sK23) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
( ( ( ! [X0] : ~ q(X0)
| ! [X1] : ~ p(X1) )
& ? [X2] :
( q(X2)
& p(X2) ) )
| ~ sP15 ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
( ( ( ! [X22] : ~ q(X22)
| ! [X23] : ~ p(X23) )
& ? [X21] :
( q(X21)
& p(X21) ) )
| ~ sP15 ),
inference(nnf_transformation,[],[f21]) ).
fof(f281,plain,
( ~ spl49_10
| spl49_12 ),
inference(avatar_split_clause,[],[f128,f278,f270]) ).
fof(f128,plain,
( q(sK23)
| ~ sP15 ),
inference(cnf_transformation,[],[f42]) ).
fof(f276,plain,
( ~ spl49_10
| spl49_9
| spl49_11 ),
inference(avatar_split_clause,[],[f129,f274,f266,f270]) ).
fof(f129,plain,
! [X0,X1] :
( ~ q(X0)
| ~ p(X1)
| ~ sP15 ),
inference(cnf_transformation,[],[f42]) ).
fof(f268,plain,
( ~ spl49_6
| spl49_9 ),
inference(avatar_split_clause,[],[f124,f266,f252]) ).
fof(f124,plain,
! [X2] :
( ~ p(X2)
| ~ sP16 ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
( ( ~ p(sK21)
& p(sK22)
& ! [X2] : ~ p(X2) )
| ~ sP16 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21,sK22])],[f35,f37,f36]) ).
fof(f36,plain,
( ? [X0] :
( ~ p(X0)
& ? [X1] : p(X1) )
=> ( ~ p(sK21)
& ? [X1] : p(X1) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
( ? [X1] : p(X1)
=> p(sK22) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
( ( ? [X0] :
( ~ p(X0)
& ? [X1] : p(X1) )
& ! [X2] : ~ p(X2) )
| ~ sP16 ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
( ( ? [X15] :
( ~ p(X15)
& ? [X16] : p(X16) )
& ! [X14] : ~ p(X14) )
| ~ sP16 ),
inference(nnf_transformation,[],[f22]) ).
fof(f264,plain,
( ~ spl49_6
| spl49_8 ),
inference(avatar_split_clause,[],[f125,f261,f252]) ).
fof(f125,plain,
( p(sK22)
| ~ sP16 ),
inference(cnf_transformation,[],[f38]) ).
fof(f250,plain,
( ~ spl49_4
| spl49_3 ),
inference(avatar_split_clause,[],[f122,f238,f242]) ).
fof(f122,plain,
! [X0] :
( p(X0)
| ~ sP17 ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
( ! [X0] :
( ~ p(sK20)
& p(X0) )
| ~ sP17 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f31,f32]) ).
fof(f32,plain,
( ? [X1] : ~ p(X1)
=> ~ p(sK20) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
( ! [X0] :
( ? [X1] : ~ p(X1)
& p(X0) )
| ~ sP17 ),
inference(rectify,[],[f30]) ).
fof(f30,plain,
( ! [X24] :
( ? [X25] : ~ p(X25)
& p(X24) )
| ~ sP17 ),
inference(nnf_transformation,[],[f23]) ).
fof(f249,plain,
( ~ spl49_4
| ~ spl49_5 ),
inference(avatar_split_clause,[],[f123,f246,f242]) ).
fof(f123,plain,
( ~ p(sK20)
| ~ sP17 ),
inference(cnf_transformation,[],[f33]) ).
fof(f240,plain,
( ~ spl49_1
| spl49_3 ),
inference(avatar_split_clause,[],[f120,f238,f229]) ).
fof(f120,plain,
! [X1] :
( p(X1)
| ~ sP18 ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
( ( ~ p(sK19)
& ! [X1] : p(X1) )
| ~ sP18 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f27,f28]) ).
fof(f28,plain,
( ? [X0] :
( ~ p(X0)
& ! [X1] : p(X1) )
=> ( ~ p(sK19)
& ! [X1] : p(X1) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
( ? [X0] :
( ~ p(X0)
& ! [X1] : p(X1) )
| ~ sP18 ),
inference(rectify,[],[f26]) ).
fof(f26,plain,
( ? [X19] :
( ~ p(X19)
& ! [X20] : p(X20) )
| ~ sP18 ),
inference(nnf_transformation,[],[f24]) ).
fof(f236,plain,
( ~ spl49_1
| ~ spl49_2 ),
inference(avatar_split_clause,[],[f121,f233,f229]) ).
fof(f121,plain,
( ~ p(sK19)
| ~ sP18 ),
inference(cnf_transformation,[],[f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN917+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36 % Computer : n022.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 17:16:08 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a FOF_THM_RFO_NEQ problem
% 0.16/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.Q5KwOfIHHA/Vampire---4.8_12076
% 0.76/0.92 % (12354)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.76/0.92 % (12355)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.76/0.92 % (12352)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2994ds/34Mi)
% 0.76/0.92 % (12356)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2994ds/34Mi)
% 0.76/0.92 % (12353)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2994ds/51Mi)
% 0.76/0.92 % (12357)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.76/0.92 % (12358)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2994ds/83Mi)
% 0.76/0.92 % (12359)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2994ds/56Mi)
% 0.76/0.92 % (12357)Refutation not found, incomplete strategy% (12357)------------------------------
% 0.76/0.92 % (12357)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.92 % (12356)Refutation not found, incomplete strategy% (12356)------------------------------
% 0.76/0.92 % (12356)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.92 % (12356)Termination reason: Refutation not found, incomplete strategy
% 0.76/0.92
% 0.76/0.92 % (12356)Memory used [KB]: 1157
% 0.76/0.92 % (12356)Time elapsed: 0.004 s
% 0.76/0.92 % (12356)Instructions burned: 5 (million)
% 0.76/0.92 % (12357)Termination reason: Refutation not found, incomplete strategy
% 0.76/0.92
% 0.76/0.92 % (12357)Memory used [KB]: 1154
% 0.76/0.92 % (12357)Time elapsed: 0.004 s
% 0.76/0.92 % (12357)Instructions burned: 5 (million)
% 0.76/0.92 % (12359)Refutation not found, incomplete strategy% (12359)------------------------------
% 0.76/0.92 % (12359)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.92 % (12359)Termination reason: Refutation not found, incomplete strategy
% 0.76/0.92
% 0.76/0.92 % (12359)Memory used [KB]: 1154
% 0.76/0.92 % (12359)Time elapsed: 0.004 s
% 0.76/0.92 % (12359)Instructions burned: 5 (million)
% 0.76/0.92 % (12356)------------------------------
% 0.76/0.92 % (12356)------------------------------
% 0.76/0.92 % (12357)------------------------------
% 0.76/0.92 % (12357)------------------------------
% 0.76/0.92 % (12359)------------------------------
% 0.76/0.92 % (12359)------------------------------
% 0.76/0.92 % (12354)First to succeed.
% 0.76/0.92 % (12353)Also succeeded, but the first one will report.
% 0.76/0.92 % (12355)Also succeeded, but the first one will report.
% 0.76/0.93 % (12352)Also succeeded, but the first one will report.
% 0.76/0.93 % (12360)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2994ds/55Mi)
% 0.76/0.93 % (12362)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/208Mi)
% 0.76/0.93 % (12361)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2994ds/50Mi)
% 0.76/0.93 % (12363)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2994ds/52Mi)
% 0.76/0.93 % (12364)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2994ds/518Mi)
% 0.76/0.93 % (12365)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2994ds/42Mi)
% 0.76/0.93 % (12354)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-12292"
% 0.76/0.93 % (12362)Also succeeded, but the first one will report.
% 0.76/0.93 % (12364)Refutation not found, incomplete strategy% (12364)------------------------------
% 0.76/0.93 % (12364)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.93 % (12364)Termination reason: Refutation not found, incomplete strategy
% 0.76/0.93
% 0.76/0.93 % (12364)Memory used [KB]: 1157
% 0.76/0.93 % (12364)Time elapsed: 0.004 s
% 0.76/0.93 % (12354)Refutation found. Thanks to Tanya!
% 0.76/0.93 % SZS status Theorem for Vampire---4
% 0.76/0.93 % SZS output start Proof for Vampire---4
% See solution above
% 0.84/0.94 % (12354)------------------------------
% 0.84/0.94 % (12354)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.84/0.94 % (12354)Termination reason: Refutation
% 0.84/0.94
% 0.84/0.94 % (12354)Memory used [KB]: 1302
% 0.84/0.94 % (12354)Time elapsed: 0.013 s
% 0.84/0.94 % (12354)Instructions burned: 22 (million)
% 0.84/0.94 % (12292)Success in time 0.565 s
% 0.84/0.94 % Vampire---4.8 exiting
%------------------------------------------------------------------------------