TSTP Solution File: SYN917+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN917+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : n005.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 19:36:05 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 117
% Syntax : Number of formulae : 458 ( 1 unt; 0 def)
% Number of atoms : 2320 ( 0 equ)
% Maximal formula atoms : 94 ( 5 avg)
% Number of connectives : 2807 ( 945 ~;1190 |; 407 &)
% ( 98 <=>; 137 =>; 0 <=; 30 <~>)
% Maximal formula depth : 27 ( 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 : 672 ( 435 !; 237 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f708,plain,
$false,
inference(avatar_sat_refutation,[],[f248,f259,f323,f324,f332,f334,f339,f345,f349,f350,f355,f360,f364,f365,f366,f371,f372,f377,f382,f387,f394,f399,f400,f401,f410,f420,f421,f422,f427,f428,f429,f446,f468,f474,f475,f476,f480,f490,f496,f505,f512,f517,f518,f519,f521,f531,f536,f537,f542,f548,f551,f557,f558,f559,f561,f562,f563,f573,f574,f578,f579,f580,f582,f584,f586,f588,f590,f592,f594,f596,f599,f602,f605,f607,f618,f629,f631,f633,f636,f638,f640,f642,f644,f646,f655,f657,f661,f678,f687,f689,f691,f693,f695,f697,f699,f701,f703,f705,f707]) ).
fof(f707,plain,
( ~ spl49_7
| ~ spl49_56 ),
inference(avatar_contradiction_clause,[],[f706]) ).
fof(f706,plain,
( $false
| ~ spl49_7
| ~ spl49_56 ),
inference(subsumption_resolution,[],[f485,f254]) ).
fof(f254,plain,
( ! [X1] : ~ p(X1)
| ~ spl49_7 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f253,plain,
( spl49_7
<=> ! [X1] : ~ p(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_7])]) ).
fof(f485,plain,
( p(sK26)
| ~ spl49_56 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f483,plain,
( spl49_56
<=> p(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_56])]) ).
fof(f705,plain,
( ~ spl49_7
| ~ spl49_57 ),
inference(avatar_contradiction_clause,[],[f704]) ).
fof(f704,plain,
( $false
| ~ spl49_7
| ~ spl49_57 ),
inference(subsumption_resolution,[],[f489,f254]) ).
fof(f489,plain,
( p(sK27)
| ~ spl49_57 ),
inference(avatar_component_clause,[],[f487]) ).
fof(f487,plain,
( spl49_57
<=> p(sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_57])]) ).
fof(f703,plain,
( ~ spl49_7
| ~ spl49_35 ),
inference(avatar_contradiction_clause,[],[f702]) ).
fof(f702,plain,
( $false
| ~ spl49_7
| ~ spl49_35 ),
inference(subsumption_resolution,[],[f381,f254]) ).
fof(f381,plain,
( p(sK28)
| ~ spl49_35 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f379,plain,
( spl49_35
<=> p(sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_35])]) ).
fof(f701,plain,
( ~ spl49_2
| ~ spl49_7 ),
inference(avatar_contradiction_clause,[],[f700]) ).
fof(f700,plain,
( $false
| ~ spl49_2
| ~ spl49_7 ),
inference(subsumption_resolution,[],[f234,f254]) ).
fof(f234,plain,
( p(sK29)
| ~ spl49_2 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f232,plain,
( spl49_2
<=> p(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_2])]) ).
fof(f699,plain,
( ~ spl49_7
| ~ spl49_58 ),
inference(avatar_contradiction_clause,[],[f698]) ).
fof(f698,plain,
( $false
| ~ spl49_7
| ~ spl49_58 ),
inference(subsumption_resolution,[],[f494,f254]) ).
fof(f494,plain,
( p(sK31)
| ~ spl49_58 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f492,plain,
( spl49_58
<=> p(sK31) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_58])]) ).
fof(f697,plain,
( ~ spl49_7
| ~ spl49_67 ),
inference(avatar_contradiction_clause,[],[f696]) ).
fof(f696,plain,
( $false
| ~ spl49_7
| ~ spl49_67 ),
inference(subsumption_resolution,[],[f546,f254]) ).
fof(f546,plain,
( p(sK30)
| ~ spl49_67 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f544,plain,
( spl49_67
<=> p(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_67])]) ).
fof(f695,plain,
( ~ spl49_6
| ~ spl49_45 ),
inference(avatar_contradiction_clause,[],[f694]) ).
fof(f694,plain,
( $false
| ~ spl49_6
| ~ spl49_45 ),
inference(subsumption_resolution,[],[f433,f251]) ).
fof(f251,plain,
( ! [X2] : ~ q(X2)
| ~ spl49_6 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f250,plain,
( spl49_6
<=> ! [X2] : ~ q(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_6])]) ).
fof(f433,plain,
( q(sK42)
| ~ spl49_45 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f431,plain,
( spl49_45
<=> q(sK42) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_45])]) ).
fof(f693,plain,
( ~ spl49_7
| ~ spl49_47 ),
inference(avatar_contradiction_clause,[],[f692]) ).
fof(f692,plain,
( $false
| ~ spl49_7
| ~ spl49_47 ),
inference(subsumption_resolution,[],[f441,f254]) ).
fof(f441,plain,
( p(sK41)
| ~ spl49_47 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f439,plain,
( spl49_47
<=> p(sK41) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_47])]) ).
fof(f691,plain,
( ~ spl49_7
| ~ spl49_46 ),
inference(avatar_contradiction_clause,[],[f690]) ).
fof(f690,plain,
( $false
| ~ spl49_7
| ~ spl49_46 ),
inference(subsumption_resolution,[],[f437,f254]) ).
fof(f437,plain,
( p(sK40)
| ~ spl49_46 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f435,plain,
( spl49_46
<=> p(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_46])]) ).
fof(f689,plain,
( ~ spl49_6
| ~ spl49_48 ),
inference(avatar_contradiction_clause,[],[f688]) ).
fof(f688,plain,
( $false
| ~ spl49_6
| ~ spl49_48 ),
inference(subsumption_resolution,[],[f445,f251]) ).
fof(f445,plain,
( q(sK40)
| ~ spl49_48 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f443,plain,
( spl49_48
<=> q(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_48])]) ).
fof(f687,plain,
( ~ spl49_7
| ~ spl49_65 ),
inference(avatar_contradiction_clause,[],[f686]) ).
fof(f686,plain,
( $false
| ~ spl49_7
| ~ spl49_65 ),
inference(subsumption_resolution,[],[f535,f254]) ).
fof(f535,plain,
( p(sK24)
| ~ spl49_65 ),
inference(avatar_component_clause,[],[f533]) ).
fof(f533,plain,
( spl49_65
<=> p(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_65])]) ).
fof(f678,plain,
( ~ spl49_7
| ~ spl49_66 ),
inference(avatar_contradiction_clause,[],[f665]) ).
fof(f665,plain,
( $false
| ~ spl49_7
| ~ spl49_66 ),
inference(resolution,[],[f254,f541]) ).
fof(f541,plain,
( p(sK25)
| ~ spl49_66 ),
inference(avatar_component_clause,[],[f539]) ).
fof(f539,plain,
( spl49_66
<=> p(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_66])]) ).
fof(f661,plain,
( ~ spl49_38
| spl49_43
| ~ spl49_60 ),
inference(avatar_contradiction_clause,[],[f660]) ).
fof(f660,plain,
( $false
| ~ spl49_38
| spl49_43
| ~ spl49_60 ),
inference(subsumption_resolution,[],[f659,f419]) ).
fof(f419,plain,
( ~ h(sK46)
| spl49_43 ),
inference(avatar_component_clause,[],[f417]) ).
fof(f417,plain,
( spl49_43
<=> h(sK46) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_43])]) ).
fof(f659,plain,
( h(sK46)
| ~ spl49_38
| ~ spl49_60 ),
inference(resolution,[],[f393,f504]) ).
fof(f504,plain,
( f(sK46)
| ~ spl49_60 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f502,plain,
( spl49_60
<=> f(sK46) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_60])]) ).
fof(f393,plain,
( ! [X2] :
( ~ f(X2)
| h(X2) )
| ~ spl49_38 ),
inference(avatar_component_clause,[],[f392]) ).
fof(f392,plain,
( spl49_38
<=> ! [X2] :
( ~ f(X2)
| h(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_38])]) ).
fof(f657,plain,
( spl49_38
| ~ spl49_32
| ~ spl49_37 ),
inference(avatar_split_clause,[],[f656,f389,f362,f392]) ).
fof(f362,plain,
( spl49_32
<=> ! [X2] :
( h(X2)
| ~ f(X2)
| ~ g(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_32])]) ).
fof(f389,plain,
( spl49_37
<=> ! [X1] :
( g(X1)
| ~ f(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_37])]) ).
fof(f656,plain,
( ! [X2] :
( ~ f(X2)
| h(X2) )
| ~ spl49_32
| ~ spl49_37 ),
inference(subsumption_resolution,[],[f363,f390]) ).
fof(f390,plain,
( ! [X1] :
( ~ f(X1)
| g(X1) )
| ~ spl49_37 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f363,plain,
( ! [X2] :
( ~ f(X2)
| ~ g(X2)
| h(X2) )
| ~ spl49_32 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f655,plain,
( ~ spl49_37
| spl49_42
| ~ spl49_59 ),
inference(avatar_contradiction_clause,[],[f654]) ).
fof(f654,plain,
( $false
| ~ spl49_37
| spl49_42
| ~ spl49_59 ),
inference(subsumption_resolution,[],[f652,f415]) ).
fof(f415,plain,
( ~ g(sK47)
| spl49_42 ),
inference(avatar_component_clause,[],[f413]) ).
fof(f413,plain,
( spl49_42
<=> g(sK47) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_42])]) ).
fof(f652,plain,
( g(sK47)
| ~ spl49_37
| ~ spl49_59 ),
inference(resolution,[],[f390,f500]) ).
fof(f500,plain,
( f(sK47)
| ~ spl49_59 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f498,plain,
( spl49_59
<=> f(sK47) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_59])]) ).
fof(f646,plain,
( ~ spl49_9
| spl49_64 ),
inference(avatar_contradiction_clause,[],[f645]) ).
fof(f645,plain,
( $false
| ~ spl49_9
| spl49_64 ),
inference(subsumption_resolution,[],[f530,f262]) ).
fof(f262,plain,
( ! [X3] : p(X3)
| ~ spl49_9 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f261,plain,
( spl49_9
<=> ! [X3] : p(X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_9])]) ).
fof(f530,plain,
( ~ p(sK33)
| spl49_64 ),
inference(avatar_component_clause,[],[f528]) ).
fof(f528,plain,
( spl49_64
<=> p(sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_64])]) ).
fof(f644,plain,
( ~ spl49_9
| spl49_61 ),
inference(avatar_contradiction_clause,[],[f643]) ).
fof(f643,plain,
( $false
| ~ spl49_9
| spl49_61 ),
inference(subsumption_resolution,[],[f509,f262]) ).
fof(f509,plain,
( ~ p(sK32)
| spl49_61 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f507,plain,
( spl49_61
<=> p(sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_61])]) ).
fof(f642,plain,
( ~ spl49_9
| spl49_33 ),
inference(avatar_contradiction_clause,[],[f641]) ).
fof(f641,plain,
( $false
| ~ spl49_9
| spl49_33 ),
inference(subsumption_resolution,[],[f370,f262]) ).
fof(f370,plain,
( ~ p(sK20)
| spl49_33 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f368,plain,
( spl49_33
<=> p(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_33])]) ).
fof(f640,plain,
( ~ spl49_9
| spl49_70 ),
inference(avatar_contradiction_clause,[],[f639]) ).
fof(f639,plain,
( $false
| ~ spl49_9
| spl49_70 ),
inference(subsumption_resolution,[],[f572,f262]) ).
fof(f572,plain,
( ~ p(sK37)
| spl49_70 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f570,plain,
( spl49_70
<=> p(sK37) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_70])]) ).
fof(f638,plain,
( ~ spl49_9
| spl49_40 ),
inference(avatar_contradiction_clause,[],[f637]) ).
fof(f637,plain,
( $false
| ~ spl49_9
| spl49_40 ),
inference(subsumption_resolution,[],[f405,f262]) ).
fof(f405,plain,
( ~ p(sK34)
| spl49_40 ),
inference(avatar_component_clause,[],[f403]) ).
fof(f403,plain,
( spl49_40
<=> p(sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_40])]) ).
fof(f636,plain,
( ~ spl49_6
| ~ spl49_9
| ~ spl49_44 ),
inference(avatar_contradiction_clause,[],[f635]) ).
fof(f635,plain,
( $false
| ~ spl49_6
| ~ spl49_9
| ~ spl49_44 ),
inference(subsumption_resolution,[],[f634,f262]) ).
fof(f634,plain,
( ! [X0] : ~ p(sK21(X0))
| ~ spl49_6
| ~ spl49_44 ),
inference(subsumption_resolution,[],[f426,f251]) ).
fof(f426,plain,
( ! [X0] :
( q(X0)
| ~ p(sK21(X0)) )
| ~ spl49_44 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f425,plain,
( spl49_44
<=> ! [X0] :
( ~ p(sK21(X0))
| q(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_44])]) ).
fof(f633,plain,
( ~ spl49_6
| ~ spl49_39 ),
inference(avatar_contradiction_clause,[],[f632]) ).
fof(f632,plain,
( $false
| ~ spl49_6
| ~ spl49_39 ),
inference(subsumption_resolution,[],[f398,f251]) ).
fof(f398,plain,
( q(sK25)
| ~ spl49_39 ),
inference(avatar_component_clause,[],[f396]) ).
fof(f396,plain,
( spl49_39
<=> q(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_39])]) ).
fof(f631,plain,
( ~ spl49_11
| spl49_36 ),
inference(avatar_contradiction_clause,[],[f630]) ).
fof(f630,plain,
( $false
| ~ spl49_11
| spl49_36 ),
inference(subsumption_resolution,[],[f386,f269]) ).
fof(f269,plain,
( ! [X5] : q(X5)
| ~ spl49_11 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f268,plain,
( spl49_11
<=> ! [X5] : q(X5) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_11])]) ).
fof(f386,plain,
( ~ q(sK22)
| spl49_36 ),
inference(avatar_component_clause,[],[f384]) ).
fof(f384,plain,
( spl49_36
<=> q(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_36])]) ).
fof(f629,plain,
( ~ spl49_9
| spl49_31 ),
inference(avatar_contradiction_clause,[],[f628]) ).
fof(f628,plain,
( $false
| ~ spl49_9
| spl49_31 ),
inference(subsumption_resolution,[],[f359,f262]) ).
fof(f359,plain,
( ~ p(sK22)
| spl49_31 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f357,plain,
( spl49_31
<=> p(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_31])]) ).
fof(f618,plain,
( spl49_27
| ~ spl49_54
| ~ spl49_55
| ~ spl49_71 ),
inference(avatar_contradiction_clause,[],[f617]) ).
fof(f617,plain,
( $false
| spl49_27
| ~ spl49_54
| ~ spl49_55
| ~ spl49_71 ),
inference(subsumption_resolution,[],[f616,f338]) ).
fof(f338,plain,
( ~ r(sK38,sK38)
| spl49_27 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f336,plain,
( spl49_27
<=> r(sK38,sK38) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_27])]) ).
fof(f616,plain,
( r(sK38,sK38)
| ~ spl49_54
| ~ spl49_55
| ~ spl49_71 ),
inference(resolution,[],[f614,f612]) ).
fof(f612,plain,
( r(sK39,sK38)
| ~ spl49_54
| ~ spl49_55 ),
inference(resolution,[],[f479,f473]) ).
fof(f473,plain,
( r(sK38,sK39)
| ~ spl49_54 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f471,plain,
( spl49_54
<=> r(sK38,sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_54])]) ).
fof(f479,plain,
( ! [X0,X1] :
( ~ r(X0,X1)
| r(X1,X0) )
| ~ spl49_55 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f478,plain,
( spl49_55
<=> ! [X0,X1] :
( ~ r(X0,X1)
| r(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_55])]) ).
fof(f614,plain,
( ! [X0] :
( ~ r(sK39,X0)
| r(sK38,X0) )
| ~ spl49_54
| ~ spl49_71 ),
inference(resolution,[],[f577,f473]) ).
fof(f577,plain,
( ! [X6,X4,X5] :
( ~ r(X6,X5)
| ~ r(X5,X4)
| r(X6,X4) )
| ~ spl49_71 ),
inference(avatar_component_clause,[],[f576]) ).
fof(f576,plain,
( spl49_71
<=> ! [X6,X4,X5] :
( r(X6,X4)
| ~ r(X5,X4)
| ~ r(X6,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_71])]) ).
fof(f607,plain,
( ~ spl49_26
| ~ spl49_38
| ~ spl49_62 ),
inference(avatar_contradiction_clause,[],[f606]) ).
fof(f606,plain,
( $false
| ~ spl49_26
| ~ spl49_38
| ~ spl49_62 ),
inference(subsumption_resolution,[],[f603,f515]) ).
fof(f515,plain,
( ! [X0] : ~ h(X0)
| ~ spl49_62 ),
inference(avatar_component_clause,[],[f514]) ).
fof(f514,plain,
( spl49_62
<=> ! [X0] : ~ h(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_62])]) ).
fof(f603,plain,
( ! [X0] : h(X0)
| ~ spl49_26
| ~ spl49_38 ),
inference(resolution,[],[f331,f393]) ).
fof(f331,plain,
( ! [X0] : f(X0)
| ~ spl49_26 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f330,plain,
( spl49_26
<=> ! [X0] : f(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_26])]) ).
fof(f605,plain,
( spl49_25
| ~ spl49_26 ),
inference(avatar_contradiction_clause,[],[f604]) ).
fof(f604,plain,
( $false
| spl49_25
| ~ spl49_26 ),
inference(resolution,[],[f331,f327]) ).
fof(f327,plain,
( ~ f(sK48)
| spl49_25 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f326,plain,
( spl49_25
<=> f(sK48) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_25])]) ).
fof(f602,plain,
( spl49_37
| ~ spl49_29
| ~ spl49_38 ),
inference(avatar_split_clause,[],[f601,f392,f347,f389]) ).
fof(f347,plain,
( spl49_29
<=> ! [X3] :
( ~ f(X3)
| g(X3)
| ~ h(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_29])]) ).
fof(f601,plain,
( ! [X3] :
( ~ f(X3)
| g(X3) )
| ~ spl49_29
| ~ spl49_38 ),
inference(subsumption_resolution,[],[f348,f393]) ).
fof(f348,plain,
( ! [X3] :
( ~ h(X3)
| ~ f(X3)
| g(X3) )
| ~ spl49_29 ),
inference(avatar_component_clause,[],[f347]) ).
fof(f599,plain,
( ~ spl49_25
| ~ spl49_37
| spl49_68 ),
inference(avatar_contradiction_clause,[],[f598]) ).
fof(f598,plain,
( $false
| ~ spl49_25
| ~ spl49_37
| spl49_68 ),
inference(subsumption_resolution,[],[f597,f556]) ).
fof(f556,plain,
( ~ g(sK48)
| spl49_68 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f554,plain,
( spl49_68
<=> g(sK48) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_68])]) ).
fof(f597,plain,
( g(sK48)
| ~ spl49_25
| ~ spl49_37 ),
inference(resolution,[],[f390,f328]) ).
fof(f328,plain,
( f(sK48)
| ~ spl49_25 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f596,plain,
( ~ spl49_9
| spl49_69 ),
inference(avatar_contradiction_clause,[],[f595]) ).
fof(f595,plain,
( $false
| ~ spl49_9
| spl49_69 ),
inference(subsumption_resolution,[],[f568,f262]) ).
fof(f568,plain,
( ~ p(sK36)
| spl49_69 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f566,plain,
( spl49_69
<=> p(sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_69])]) ).
fof(f594,plain,
( ~ spl49_11
| spl49_51 ),
inference(avatar_contradiction_clause,[],[f593]) ).
fof(f593,plain,
( $false
| ~ spl49_11
| spl49_51 ),
inference(subsumption_resolution,[],[f459,f269]) ).
fof(f459,plain,
( ~ q(sK45)
| spl49_51 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f457,plain,
( spl49_51
<=> q(sK45) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_51])]) ).
fof(f592,plain,
( ~ spl49_9
| spl49_52 ),
inference(avatar_contradiction_clause,[],[f591]) ).
fof(f591,plain,
( $false
| ~ spl49_9
| spl49_52 ),
inference(subsumption_resolution,[],[f463,f262]) ).
fof(f463,plain,
( ~ p(sK45)
| spl49_52 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f461,plain,
( spl49_52
<=> p(sK45) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_52])]) ).
fof(f590,plain,
( ~ spl49_11
| spl49_50 ),
inference(avatar_contradiction_clause,[],[f589]) ).
fof(f589,plain,
( $false
| ~ spl49_11
| spl49_50 ),
inference(subsumption_resolution,[],[f455,f269]) ).
fof(f455,plain,
( ~ q(sK44)
| spl49_50 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f453,plain,
( spl49_50
<=> q(sK44) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_50])]) ).
fof(f588,plain,
( ~ spl49_9
| spl49_53 ),
inference(avatar_contradiction_clause,[],[f587]) ).
fof(f587,plain,
( $false
| ~ spl49_9
| spl49_53 ),
inference(subsumption_resolution,[],[f467,f262]) ).
fof(f467,plain,
( ~ p(sK43)
| spl49_53 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f465,plain,
( spl49_53
<=> p(sK43) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_53])]) ).
fof(f586,plain,
( ~ spl49_9
| spl49_41 ),
inference(avatar_contradiction_clause,[],[f585]) ).
fof(f585,plain,
( $false
| ~ spl49_9
| spl49_41 ),
inference(subsumption_resolution,[],[f409,f262]) ).
fof(f409,plain,
( ~ p(sK35)
| spl49_41 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f407,plain,
( spl49_41
<=> p(sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_41])]) ).
fof(f584,plain,
( ~ spl49_9
| spl49_30 ),
inference(avatar_contradiction_clause,[],[f583]) ).
fof(f583,plain,
( $false
| ~ spl49_9
| spl49_30 ),
inference(subsumption_resolution,[],[f354,f262]) ).
fof(f354,plain,
( ~ p(sK19)
| spl49_30 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f352,plain,
( spl49_30
<=> p(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_30])]) ).
fof(f582,plain,
( ~ spl49_7
| ~ spl49_9 ),
inference(avatar_contradiction_clause,[],[f581]) ).
fof(f581,plain,
( $false
| ~ spl49_7
| ~ spl49_9 ),
inference(subsumption_resolution,[],[f262,f254]) ).
fof(f580,plain,
( ~ spl49_42
| spl49_60
| ~ spl49_34 ),
inference(avatar_split_clause,[],[f192,f374,f502,f413]) ).
fof(f374,plain,
( spl49_34
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_34])]) ).
fof(f192,plain,
( ~ sP1
| f(sK46)
| ~ g(sK47) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
( ( f(sK46)
& g(sK46)
& ~ h(sK46) )
| ( ~ g(sK47)
& f(sK47) )
| ~ sP1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK46,sK47])],[f109,f111,f110]) ).
fof(f110,plain,
( ? [X0] :
( f(X0)
& g(X0)
& ~ h(X0) )
=> ( f(sK46)
& g(sK46)
& ~ h(sK46) ) ),
introduced(choice_axiom,[]) ).
fof(f111,plain,
( ? [X1] :
( ~ g(X1)
& f(X1) )
=> ( ~ g(sK47)
& f(sK47) ) ),
introduced(choice_axiom,[]) ).
fof(f109,plain,
( ? [X0] :
( f(X0)
& g(X0)
& ~ h(X0) )
| ? [X1] :
( ~ g(X1)
& f(X1) )
| ~ sP1 ),
inference(rectify,[],[f108]) ).
fof(f108,plain,
( ? [X25] :
( f(X25)
& g(X25)
& ~ h(X25) )
| ? [X26] :
( ~ g(X26)
& f(X26) )
| ~ sP1 ),
inference(nnf_transformation,[],[f7]) ).
fof(f7,plain,
( ? [X25] :
( f(X25)
& g(X25)
& ~ h(X25) )
| ? [X26] :
( ~ g(X26)
& f(X26) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f579,plain,
( spl49_7
| ~ spl49_18 ),
inference(avatar_split_clause,[],[f131,f296,f253]) ).
fof(f296,plain,
( spl49_18
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_18])]) ).
fof(f131,plain,
! [X0] :
( ~ sP14
| ~ p(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( ( ! [X0] : ~ p(X0)
& ~ p(sK23)
& p(sK24) )
| ~ sP14 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23,sK24])],[f42,f44,f43]) ).
fof(f43,plain,
( ? [X1] :
( ~ p(X1)
& ? [X2] : p(X2) )
=> ( ~ p(sK23)
& ? [X2] : p(X2) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
( ? [X2] : p(X2)
=> p(sK24) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
( ( ! [X0] : ~ p(X0)
& ? [X1] :
( ~ p(X1)
& ? [X2] : p(X2) ) )
| ~ sP14 ),
inference(rectify,[],[f41]) ).
fof(f41,plain,
( ( ! [X53] : ~ p(X53)
& ? [X54] :
( ~ p(X54)
& ? [X55] : p(X55) ) )
| ~ sP14 ),
inference(nnf_transformation,[],[f20]) ).
fof(f20,plain,
( ( ! [X53] : ~ p(X53)
& ? [X54] :
( ~ p(X54)
& ? [X55] : p(X55) ) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f578,plain,
( spl49_71
| ~ spl49_16 ),
inference(avatar_split_clause,[],[f169,f288,f576]) ).
fof(f288,plain,
( spl49_16
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_16])]) ).
fof(f169,plain,
! [X6,X4,X5] :
( ~ sP5
| r(X6,X4)
| ~ r(X6,X5)
| ~ r(X5,X4) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
( ( ! [X0,X1] :
( r(X1,X0)
| ~ r(X0,X1) )
& ~ r(sK38,sK38)
& r(sK38,sK39)
& ! [X4,X5,X6] :
( ~ r(X5,X4)
| ~ r(X6,X5)
| r(X6,X4) ) )
| ~ sP5 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK38,sK39])],[f89,f90]) ).
fof(f90,plain,
( ? [X2,X3] :
( ~ r(X2,X2)
& r(X2,X3) )
=> ( ~ r(sK38,sK38)
& r(sK38,sK39) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
( ( ! [X0,X1] :
( r(X1,X0)
| ~ r(X0,X1) )
& ? [X2,X3] :
( ~ r(X2,X2)
& r(X2,X3) )
& ! [X4,X5,X6] :
( ~ r(X5,X4)
| ~ r(X6,X5)
| r(X6,X4) ) )
| ~ sP5 ),
inference(rectify,[],[f88]) ).
fof(f88,plain,
( ( ! [X42,X43] :
( r(X43,X42)
| ~ r(X42,X43) )
& ? [X47,X48] :
( ~ r(X47,X47)
& r(X47,X48) )
& ! [X44,X46,X45] :
( ~ r(X46,X44)
| ~ r(X45,X46)
| r(X45,X44) ) )
| ~ sP5 ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
( ( ! [X42,X43] :
( r(X43,X42)
| ~ r(X42,X43) )
& ? [X47,X48] :
( ~ r(X47,X47)
& r(X47,X48) )
& ! [X44,X46,X45] :
( ~ r(X46,X44)
| ~ r(X45,X46)
| r(X45,X44) ) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f574,plain,
( ~ spl49_10
| spl49_11
| spl49_11 ),
inference(avatar_split_clause,[],[f182,f268,f268,f264]) ).
fof(f264,plain,
( spl49_10
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_10])]) ).
fof(f182,plain,
! [X4,X5] :
( q(X4)
| q(X5)
| ~ sP2 ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
( ( ( ~ p(sK43)
| ~ q(sK44)
| ~ p(sK45)
| ~ q(sK45) )
& ( ( ! [X3] : p(X3)
& ! [X4] : q(X4) )
| ! [X5] :
( p(X5)
& q(X5) ) ) )
| ~ sP2 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK43,sK44,sK45])],[f103,f106,f105,f104]) ).
fof(f104,plain,
( ? [X0] : ~ p(X0)
=> ~ p(sK43) ),
introduced(choice_axiom,[]) ).
fof(f105,plain,
( ? [X1] : ~ q(X1)
=> ~ q(sK44) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
( ? [X2] :
( ~ p(X2)
| ~ q(X2) )
=> ( ~ p(sK45)
| ~ q(sK45) ) ),
introduced(choice_axiom,[]) ).
fof(f103,plain,
( ( ( ? [X0] : ~ p(X0)
| ? [X1] : ~ q(X1)
| ? [X2] :
( ~ p(X2)
| ~ q(X2) ) )
& ( ( ! [X3] : p(X3)
& ! [X4] : q(X4) )
| ! [X5] :
( p(X5)
& q(X5) ) ) )
| ~ sP2 ),
inference(rectify,[],[f102]) ).
fof(f102,plain,
( ( ( ? [X36] : ~ p(X36)
| ? [X35] : ~ q(X35)
| ? [X37] :
( ~ p(X37)
| ~ q(X37) ) )
& ( ( ! [X36] : p(X36)
& ! [X35] : q(X35) )
| ! [X37] :
( p(X37)
& q(X37) ) ) )
| ~ sP2 ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
( ( ( ? [X36] : ~ p(X36)
| ? [X35] : ~ q(X35)
| ? [X37] :
( ~ p(X37)
| ~ q(X37) ) )
& ( ( ! [X36] : p(X36)
& ! [X35] : q(X35) )
| ! [X37] :
( p(X37)
& q(X37) ) ) )
| ~ sP2 ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,plain,
( ( ! [X37] :
( p(X37)
& q(X37) )
<~> ( ! [X36] : p(X36)
& ! [X35] : q(X35) ) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f573,plain,
( spl49_1
| ~ spl49_21
| ~ spl49_69
| ~ spl49_70 ),
inference(avatar_split_clause,[],[f207,f570,f566,f308,f228]) ).
fof(f228,plain,
( spl49_1
<=> c ),
introduced(avatar_definition,[new_symbols(naming,[spl49_1])]) ).
fof(f308,plain,
( spl49_21
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_21])]) ).
fof(f207,plain,
( ~ p(sK37)
| ~ p(sK36)
| ~ sP6
| c ),
inference(duplicate_literal_removal,[],[f164]) ).
fof(f164,plain,
( ~ sP6
| c
| ~ p(sK37)
| ~ p(sK36)
| c ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
( ( ( ! [X0] :
( p(X0)
& ~ c )
| ( ~ c
& ! [X1] : p(X1) ) )
& ( ~ p(sK36)
| c
| c
| ~ p(sK37) ) )
| ~ sP6 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK36,sK37])],[f84,f86,f85]) ).
fof(f85,plain,
( ? [X2] :
( ~ p(X2)
| c )
=> ( ~ p(sK36)
| c ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
( ? [X3] : ~ p(X3)
=> ~ p(sK37) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
( ( ( ! [X0] :
( p(X0)
& ~ c )
| ( ~ c
& ! [X1] : p(X1) ) )
& ( ? [X2] :
( ~ p(X2)
| c )
| c
| ? [X3] : ~ p(X3) ) )
| ~ sP6 ),
inference(rectify,[],[f83]) ).
fof(f83,plain,
( ( ( ! [X5] :
( p(X5)
& ~ c )
| ( ~ c
& ! [X6] : p(X6) ) )
& ( ? [X5] :
( ~ p(X5)
| c )
| c
| ? [X6] : ~ p(X6) ) )
| ~ sP6 ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
( ( ( ! [X5] :
( p(X5)
& ~ c )
| ( ~ c
& ! [X6] : p(X6) ) )
& ( ? [X5] :
( ~ p(X5)
| c )
| c
| ? [X6] : ~ p(X6) ) )
| ~ sP6 ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
( ( ( c
| ? [X6] : ~ p(X6) )
<~> ? [X5] :
( ~ p(X5)
| c ) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f563,plain,
( spl49_7
| ~ spl49_15
| spl49_7 ),
inference(avatar_split_clause,[],[f138,f253,f284,f253]) ).
fof(f284,plain,
( spl49_15
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_15])]) ).
fof(f138,plain,
! [X0,X1] :
( ~ p(X0)
| ~ sP12
| ~ p(X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
( ( ( ( ! [X0] : ~ p(X0)
& c )
| ! [X1] :
( c
& ~ p(X1) ) )
& ( p(sK26)
| ~ c
| ~ c
| p(sK27) ) )
| ~ sP12 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26,sK27])],[f52,f54,f53]) ).
fof(f53,plain,
( ? [X2] : p(X2)
=> p(sK26) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
( ? [X3] :
( ~ c
| p(X3) )
=> ( ~ c
| p(sK27) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
( ( ( ( ! [X0] : ~ p(X0)
& c )
| ! [X1] :
( c
& ~ p(X1) ) )
& ( ? [X2] : p(X2)
| ~ c
| ? [X3] :
( ~ c
| p(X3) ) ) )
| ~ sP12 ),
inference(rectify,[],[f51]) ).
fof(f51,plain,
( ( ( ( ! [X14] : ~ p(X14)
& c )
| ! [X15] :
( c
& ~ p(X15) ) )
& ( ? [X14] : p(X14)
| ~ c
| ? [X15] :
( ~ c
| p(X15) ) ) )
| ~ sP12 ),
inference(flattening,[],[f50]) ).
fof(f50,plain,
( ( ( ( ! [X14] : ~ p(X14)
& c )
| ! [X15] :
( c
& ~ p(X15) ) )
& ( ? [X14] : p(X14)
| ~ c
| ? [X15] :
( ~ c
| p(X15) ) ) )
| ~ sP12 ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
( ( ? [X15] :
( ~ c
| p(X15) )
<~> ( ? [X14] : p(X14)
| ~ c ) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f562,plain,
( ~ spl49_4
| spl49_62
| ~ spl49_68 ),
inference(avatar_split_clause,[],[f193,f554,f514,f241]) ).
fof(f241,plain,
( spl49_4
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_4])]) ).
fof(f193,plain,
! [X0] :
( ~ g(sK48)
| ~ h(X0)
| ~ sP0 ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
( ! [X0] :
( ( f(sK48)
& ~ g(sK48) )
| ( f(X0)
& g(X0)
& ~ h(X0) ) )
| ~ sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK48])],[f114,f115]) ).
fof(f115,plain,
( ? [X1] :
( f(X1)
& ~ g(X1) )
=> ( f(sK48)
& ~ g(sK48) ) ),
introduced(choice_axiom,[]) ).
fof(f114,plain,
( ! [X0] :
( ? [X1] :
( f(X1)
& ~ g(X1) )
| ( f(X0)
& g(X0)
& ~ h(X0) ) )
| ~ sP0 ),
inference(rectify,[],[f113]) ).
fof(f113,plain,
( ! [X31] :
( ? [X32] :
( f(X32)
& ~ g(X32) )
| ( f(X31)
& g(X31)
& ~ h(X31) ) )
| ~ sP0 ),
inference(nnf_transformation,[],[f6]) ).
fof(f6,plain,
( ! [X31] :
( ? [X32] :
( f(X32)
& ~ g(X32) )
| ( f(X31)
& g(X31)
& ~ h(X31) ) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f561,plain,
( spl49_67
| ~ spl49_14
| spl49_58 ),
inference(avatar_split_clause,[],[f153,f492,f280,f544]) ).
fof(f280,plain,
( spl49_14
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_14])]) ).
fof(f153,plain,
( p(sK31)
| ~ sP9
| p(sK30) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
( ( ( ( p(sK30)
& ~ c )
| ( p(sK31)
& ~ c ) )
& ( ! [X2] : ~ p(X2)
| c
| ! [X3] :
( ~ p(X3)
| c ) ) )
| ~ sP9 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30,sK31])],[f66,f68,f67]) ).
fof(f67,plain,
( ? [X0] : p(X0)
=> p(sK30) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
( ? [X1] :
( p(X1)
& ~ c )
=> ( p(sK31)
& ~ c ) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
( ( ( ( ? [X0] : p(X0)
& ~ c )
| ? [X1] :
( p(X1)
& ~ c ) )
& ( ! [X2] : ~ p(X2)
| c
| ! [X3] :
( ~ p(X3)
| c ) ) )
| ~ sP9 ),
inference(rectify,[],[f65]) ).
fof(f65,plain,
( ( ( ( ? [X49] : p(X49)
& ~ c )
| ? [X50] :
( p(X50)
& ~ c ) )
& ( ! [X49] : ~ p(X49)
| c
| ! [X50] :
( ~ p(X50)
| c ) ) )
| ~ sP9 ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
( ( ( ( ? [X49] : p(X49)
& ~ c )
| ? [X50] :
( p(X50)
& ~ c ) )
& ( ! [X49] : ~ p(X49)
| c
| ! [X50] :
( ~ p(X50)
| c ) ) )
| ~ sP9 ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
( ( ! [X50] :
( ~ p(X50)
| c )
<~> ( ! [X49] : ~ p(X49)
| c ) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f559,plain,
( spl49_1
| ~ spl49_15 ),
inference(avatar_split_clause,[],[f208,f284,f228]) ).
fof(f208,plain,
( ~ sP12
| c ),
inference(duplicate_literal_removal,[],[f137]) ).
fof(f137,plain,
( c
| c
| ~ sP12 ),
inference(cnf_transformation,[],[f55]) ).
fof(f558,plain,
( ~ spl49_34
| ~ spl49_43
| spl49_59 ),
inference(avatar_split_clause,[],[f187,f498,f417,f374]) ).
fof(f187,plain,
( f(sK47)
| ~ h(sK46)
| ~ sP1 ),
inference(cnf_transformation,[],[f112]) ).
fof(f557,plain,
( spl49_26
| ~ spl49_4
| ~ spl49_68 ),
inference(avatar_split_clause,[],[f195,f554,f241,f330]) ).
fof(f195,plain,
! [X0] :
( ~ g(sK48)
| ~ sP0
| f(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f551,plain,
( spl49_5
| spl49_16
| spl49_13
| spl49_22
| spl49_9
| spl49_18
| spl49_20
| spl49_3
| spl49_1
| spl49_12
| spl49_21
| spl49_15
| spl49_14
| spl49_10
| spl49_8
| spl49_24
| spl49_17
| spl49_23
| spl49_19 ),
inference(avatar_split_clause,[],[f209,f300,f316,f292,f320,f256,f264,f280,f284,f308,f272,f228,f236,f304,f296,f261,f312,f276,f288,f245]) ).
fof(f245,plain,
( spl49_5
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_5])]) ).
fof(f276,plain,
( spl49_13
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_13])]) ).
fof(f312,plain,
( spl49_22
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_22])]) ).
fof(f304,plain,
( spl49_20
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_20])]) ).
fof(f236,plain,
( spl49_3
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_3])]) ).
fof(f272,plain,
( spl49_12
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_12])]) ).
fof(f256,plain,
( spl49_8
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_8])]) ).
fof(f320,plain,
( spl49_24
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_24])]) ).
fof(f292,plain,
( spl49_17
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_17])]) ).
fof(f316,plain,
( spl49_23
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_23])]) ).
fof(f300,plain,
( spl49_19
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_19])]) ).
fof(f209,plain,
! [X0] :
( sP4
| sP11
| sP18
| sP15
| sP13
| sP2
| sP9
| sP12
| sP6
| sP7
| c
| sP10
| sP17
| sP14
| p(X0)
| sP8
| sP16
| sP5
| sP3 ),
inference(duplicate_literal_removal,[],[f201]) ).
fof(f201,plain,
! [X0] :
( p(X0)
| c
| c
| sP8
| sP10
| sP6
| sP12
| c
| sP16
| sP17
| sP4
| sP2
| sP5
| sP3
| sP13
| sP15
| sP11
| sP9
| c
| sP7
| sP18
| sP14 ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
( sP12
| sP11
| sP10
| sP9
| sP8
| sP16
| sP7
| sP6
| sP5
| sP15
| sP4
| sP14
| ( ( ~ c
| ~ c )
& ( c
| c ) )
| ( ! [X0] : p(X0)
& ! [X1] : ~ p(X1) )
| sP13
| ( ( ~ c
| ~ c )
& ( c
| c ) )
| sP3
| sP18
| sP2
| sP17 ),
inference(rectify,[],[f117]) ).
fof(f117,plain,
( sP12
| sP11
| sP10
| sP9
| sP8
| sP16
| sP7
| sP6
| sP5
| sP15
| sP4
| sP14
| ( ( ~ c
| ~ c )
& ( c
| c ) )
| ( ! [X18] : p(X18)
& ! [X19] : ~ p(X19) )
| sP13
| ( ( ~ c
| ~ c )
& ( c
| c ) )
| sP3
| sP18
| sP2
| sP17 ),
inference(nnf_transformation,[],[f25]) ).
fof(f25,plain,
( sP12
| sP11
| sP10
| sP9
| sP8
| sP16
| sP7
| sP6
| sP5
| sP15
| sP4
| sP14
| ( c
<~> c )
| ( ! [X18] : p(X18)
& ! [X19] : ~ p(X19) )
| sP13
| ( c
<~> c )
| sP3
| sP18
| sP2
| sP17 ),
inference(definition_folding,[],[f5,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8,f7,f6]) ).
fof(f9,plain,
( ( ( ! [X30] :
( h(X30)
| ~ f(X30) )
| ! [X29] :
( ~ f(X29)
| g(X29) ) )
& ! [X34] :
( h(X34)
| ~ f(X34)
| ~ g(X34) )
& ! [X33] :
( ~ h(X33)
| g(X33)
| ~ f(X33) )
& sP0 )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f10,plain,
( ( ( ? [X10] : p(X10)
| ? [X9] : q(X9) )
<~> ? [X11] :
( q(X11)
| p(X11) ) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f13,plain,
( ( ( ! [X3] : p(X3)
| c )
<~> ! [X2] :
( c
| p(X2) ) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f14,plain,
( ( ! [X13] :
( ~ c
| p(X13) )
<~> ( ! [X12] : p(X12)
| ~ c ) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f16,plain,
( ( ? [X52] :
( c
& p(X52) )
<~> ( c
& ? [X51] : p(X51) ) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f17,plain,
( ( sP1
& ! [X27] :
( ~ f(X27)
| ~ h(X27)
| g(X27) )
& ( ! [X24] :
( g(X24)
| ~ f(X24) )
| ! [X23] :
( h(X23)
| ~ f(X23) ) )
& ! [X28] :
( ~ g(X28)
| h(X28)
| ~ f(X28) ) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f19,plain,
( ( ? [X20] :
( q(X20)
& p(X20) )
& ( ! [X21] : ~ p(X21)
| ! [X22] : ~ q(X22) ) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f21,plain,
( ( ( ! [X38] : p(X38)
| ! [X39] : q(X39) )
& ? [X40] :
( ~ q(X40)
& ~ p(X40) ) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f22,plain,
( ! [X7] :
? [X8] :
( ( q(X7)
| ~ p(X8) )
& ~ q(X7)
& p(X7) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f23,plain,
( ! [X16] :
( ? [X17] : ~ p(X17)
& p(X16) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f24,plain,
( ? [X0] :
( ! [X1] : p(X1)
& ~ p(X0) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f5,plain,
( ( ? [X15] :
( ~ c
| p(X15) )
<~> ( ? [X14] : p(X14)
| ~ c ) )
| ( ( ? [X25] :
( f(X25)
& g(X25)
& ~ h(X25) )
| ? [X26] :
( ~ g(X26)
& f(X26) ) )
& ! [X27] :
( ~ f(X27)
| ~ h(X27)
| g(X27) )
& ( ! [X24] :
( g(X24)
| ~ f(X24) )
| ! [X23] :
( h(X23)
| ~ f(X23) ) )
& ! [X28] :
( ~ g(X28)
| h(X28)
| ~ f(X28) ) )
| ( ? [X52] :
( c
& p(X52) )
<~> ( c
& ? [X51] : p(X51) ) )
| ( ! [X50] :
( ~ p(X50)
| c )
<~> ( ! [X49] : ~ p(X49)
| c ) )
| ( ! [X13] :
( ~ c
| p(X13) )
<~> ( ! [X12] : p(X12)
| ~ c ) )
| ! [X7] :
? [X8] :
( ( q(X7)
| ~ p(X8) )
& ~ q(X7)
& p(X7) )
| ( ( ! [X3] : p(X3)
| c )
<~> ! [X2] :
( c
| p(X2) ) )
| ( ( c
| ? [X6] : ~ p(X6) )
<~> ? [X5] :
( ~ p(X5)
| c ) )
| ( ! [X42,X43] :
( r(X43,X42)
| ~ r(X42,X43) )
& ? [X47,X48] :
( ~ r(X47,X47)
& r(X47,X48) )
& ! [X44,X46,X45] :
( ~ r(X46,X44)
| ~ r(X45,X46)
| r(X45,X44) ) )
| ( ( ! [X38] : p(X38)
| ! [X39] : q(X39) )
& ? [X40] :
( ~ q(X40)
& ~ p(X40) ) )
| ( ( ? [X10] : p(X10)
| ? [X9] : q(X9) )
<~> ? [X11] :
( q(X11)
| p(X11) ) )
| ( ! [X53] : ~ p(X53)
& ? [X54] :
( ~ p(X54)
& ? [X55] : p(X55) ) )
| ( c
<~> c )
| ( ! [X18] : p(X18)
& ! [X19] : ~ p(X19) )
| ( ? [X20] :
( q(X20)
& p(X20) )
& ( ! [X21] : ~ p(X21)
| ! [X22] : ~ q(X22) ) )
| ( c
<~> c )
| ( ( ! [X30] :
( h(X30)
| ~ f(X30) )
| ! [X29] :
( ~ f(X29)
| g(X29) ) )
& ! [X34] :
( h(X34)
| ~ f(X34)
| ~ g(X34) )
& ! [X33] :
( ~ h(X33)
| g(X33)
| ~ f(X33) )
& ! [X31] :
( ? [X32] :
( f(X32)
& ~ g(X32) )
| ( f(X31)
& g(X31)
& ~ h(X31) ) ) )
| ? [X0] :
( ! [X1] : p(X1)
& ~ p(X0) )
| ( ! [X37] :
( p(X37)
& q(X37) )
<~> ( ! [X36] : p(X36)
& ! [X35] : q(X35) ) )
| ! [X16] :
( ? [X17] : ~ p(X17)
& p(X16) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
( ! [X16] :
( ? [X17] : ~ p(X17)
& p(X16) )
| ( ! [X50] :
( ~ p(X50)
| c )
<~> ( ! [X49] : ~ p(X49)
| c ) )
| ( ? [X15] :
( ~ c
| p(X15) )
<~> ( ? [X14] : p(X14)
| ~ c ) )
| ( ( ? [X10] : p(X10)
| ? [X9] : q(X9) )
<~> ? [X11] :
( q(X11)
| p(X11) ) )
| ! [X7] :
? [X8] :
( ~ q(X7)
& p(X7)
& ( q(X7)
| ~ p(X8) ) )
| ( c
<~> c )
| ( ! [X18] : p(X18)
& ! [X19] : ~ p(X19) )
| ( ? [X47,X48] :
( ~ r(X47,X47)
& r(X47,X48) )
& ! [X42,X43] :
( r(X43,X42)
| ~ r(X42,X43) )
& ! [X46,X44,X45] :
( r(X45,X44)
| ~ r(X46,X44)
| ~ r(X45,X46) ) )
| ( c
<~> c )
| ? [X0] :
( ! [X1] : p(X1)
& ~ p(X0) )
| ( ( ! [X3] : p(X3)
| c )
<~> ! [X2] :
( c
| p(X2) ) )
| ( ? [X52] :
( c
& p(X52) )
<~> ( c
& ? [X51] : p(X51) ) )
| ( ( c
| ? [X6] : ~ p(X6) )
<~> ? [X5] :
( ~ p(X5)
| c ) )
| ( ! [X37] :
( p(X37)
& q(X37) )
<~> ( ! [X36] : p(X36)
& ! [X35] : q(X35) ) )
| ( ! [X13] :
( ~ c
| p(X13) )
<~> ( ! [X12] : p(X12)
| ~ c ) )
| ( ! [X34] :
( h(X34)
| ~ f(X34)
| ~ g(X34) )
& ! [X33] :
( g(X33)
| ~ h(X33)
| ~ f(X33) )
& ! [X31] :
( ? [X32] :
( f(X32)
& ~ g(X32) )
| ( ~ h(X31)
& g(X31)
& f(X31) ) )
& ( ! [X30] :
( h(X30)
| ~ f(X30) )
| ! [X29] :
( ~ f(X29)
| g(X29) ) ) )
| ( ! [X53] : ~ p(X53)
& ? [X54] :
( ~ p(X54)
& ? [X55] : p(X55) ) )
| ( ? [X20] :
( q(X20)
& p(X20) )
& ( ! [X21] : ~ p(X21)
| ! [X22] : ~ q(X22) ) )
| ( ! [X28] :
( ~ g(X28)
| h(X28)
| ~ f(X28) )
& ! [X27] :
( g(X27)
| ~ h(X27)
| ~ f(X27) )
& ( ! [X24] :
( g(X24)
| ~ f(X24) )
| ! [X23] :
( h(X23)
| ~ f(X23) ) )
& ( ? [X26] :
( ~ g(X26)
& f(X26) )
| ? [X25] :
( ~ h(X25)
& f(X25)
& g(X25) ) ) )
| ( ( ! [X38] : p(X38)
| ! [X39] : q(X39) )
& ? [X40] :
( ~ q(X40)
& ~ p(X40) ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ? [X16] :
( p(X16)
=> ! [X17] : p(X17) )
& ( ( ? [X49] : p(X49)
=> c )
<=> ! [X50] :
( p(X50)
=> c ) )
& ( ? [X15] :
( c
=> p(X15) )
<=> ( c
=> ? [X14] : p(X14) ) )
& ( ? [X11] :
( q(X11)
| p(X11) )
<=> ( ? [X10] : p(X10)
| ? [X9] : q(X9) ) )
& ? [X7] :
! [X8] :
( ( p(X8)
=> q(X7) )
=> ( p(X7)
=> q(X7) ) )
& ( c
<=> c )
& ( ! [X18] : p(X18)
=> ? [X19] : p(X19) )
& ( ( ! [X43,X42] :
( r(X42,X43)
=> r(X43,X42) )
& ! [X46,X44,X45] :
( ( r(X46,X44)
& r(X45,X46) )
=> r(X45,X44) ) )
=> ! [X47,X48] :
( r(X47,X48)
=> r(X47,X47) ) )
& ( c
<=> c )
& ! [X0] :
( ! [X1] : p(X1)
=> p(X0) )
& ( ( ! [X3] : p(X3)
| c )
<=> ! [X2] :
( c
| p(X2) ) )
& ( ( c
& ? [X51] : p(X51) )
<=> ? [X52] :
( c
& p(X52) ) )
& ( ( ! [X6] : p(X6)
=> c )
<=> ? [X5] :
( p(X5)
=> c ) )
& ( ! [X37] :
( p(X37)
& q(X37) )
<=> ( ! [X36] : p(X36)
& ! [X35] : q(X35) ) )
& ( ( c
=> ! [X12] : p(X12) )
<=> ! [X13] :
( c
=> p(X13) ) )
& ( ( ! [X31] :
( ( ( g(X31)
& f(X31) )
=> h(X31) )
=> ? [X32] :
( f(X32)
& ~ g(X32) ) )
& ( ! [X30] :
( f(X30)
=> h(X30) )
| ! [X29] :
( f(X29)
=> g(X29) ) ) )
=> ( ! [X33] :
( ( h(X33)
& f(X33) )
=> g(X33) )
=> ? [X34] :
( ~ h(X34)
& g(X34)
& f(X34) ) ) )
& ( ~ ? [X53] : p(X53)
=> ! [X54] :
( ? [X55] : p(X55)
=> p(X54) ) )
& ( ? [X20] :
( q(X20)
& p(X20) )
=> ( ? [X21] : p(X21)
& ? [X22] : q(X22) ) )
& ( ( ( ! [X24] :
( f(X24)
=> g(X24) )
| ! [X23] :
( f(X23)
=> h(X23) ) )
& ( ! [X25] :
( ( f(X25)
& g(X25) )
=> h(X25) )
=> ? [X26] :
( ~ g(X26)
& f(X26) ) ) )
=> ( ! [X27] :
( ( h(X27)
& f(X27) )
=> g(X27) )
=> ? [X28] :
( ~ h(X28)
& g(X28)
& f(X28) ) ) )
& ( ( ! [X38] : p(X38)
| ! [X39] : q(X39) )
=> ! [X40] :
( p(X40)
| q(X40) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ! [X1] :
( ! [X0] : p(X0)
=> p(X1) )
& ( ! [X0] :
( c
| p(X0) )
<=> ( c
| ! [X0] : p(X0) ) )
& ( c
<=> ! [X0] : c )
& ( ? [X0] :
( p(X0)
=> c )
<=> ( ! [X0] : p(X0)
=> c ) )
& ? [X0] :
! [X1] :
( ( p(X1)
=> q(X0) )
=> ( p(X0)
=> q(X0) ) )
& ( ( ? [X0] : q(X0)
| ? [X0] : p(X0) )
<=> ? [X0] :
( p(X0)
| q(X0) ) )
& ( ( c
=> ! [X0] : p(X0) )
<=> ! [X0] :
( c
=> p(X0) ) )
& ( ( c
=> ? [X0] : p(X0) )
<=> ? [X0] :
( c
=> p(X0) ) )
& ? [X1] :
( p(X1)
=> ! [X0] : p(X0) )
& ( ! [X0] : p(X0)
=> ? [X0] : p(X0) )
& ( ? [X0] :
( q(X0)
& p(X0) )
=> ( ? [X0] : p(X0)
& ? [X0] : q(X0) ) )
& ( ( ( ! [X3] :
( f(X3)
=> h(X3) )
| ! [X2] :
( f(X2)
=> g(X2) ) )
& ( ! [X0] :
( ( f(X0)
& g(X0) )
=> h(X0) )
=> ? [X0] :
( ~ g(X0)
& f(X0) ) ) )
=> ( ! [X4] :
( ( f(X4)
& h(X4) )
=> g(X4) )
=> ? [X5] :
( g(X5)
& f(X5)
& ~ h(X5) ) ) )
& ( ( ( ! [X2] :
( f(X2)
=> g(X2) )
| ! [X3] :
( f(X3)
=> h(X3) ) )
& ! [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) ) ) )
& ( ( ! [X0] : q(X0)
& ! [X0] : p(X0) )
<=> ! [X0] :
( p(X0)
& q(X0) ) )
& ( ( ! [X0] : p(X0)
| ! [X0] : q(X0) )
=> ! [X0] :
( p(X0)
| q(X0) ) )
& ( c
<=> ? [X0] : c )
& ( ( ! [X0,X1] :
( r(X0,X1)
=> r(X1,X0) )
& ! [X3,X0,X1] :
( ( r(X1,X3)
& r(X0,X1) )
=> r(X0,X3) ) )
=> ! [X0,X1] :
( r(X0,X1)
=> r(X0,X0) ) )
& ( ( ? [X0] : p(X0)
=> c )
<=> ! [X0] :
( p(X0)
=> c ) )
& ( ( c
& ? [X0] : p(X0) )
<=> ? [X0] :
( c
& p(X0) ) )
& ( ~ ? [X1] : p(X1)
=> ! [X1] :
( ? [X0] : p(X0)
=> p(X1) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ! [X1] :
( ! [X0] : p(X0)
=> p(X1) )
& ( ! [X0] :
( c
| p(X0) )
<=> ( c
| ! [X0] : p(X0) ) )
& ( c
<=> ! [X0] : c )
& ( ? [X0] :
( p(X0)
=> c )
<=> ( ! [X0] : p(X0)
=> c ) )
& ? [X0] :
! [X1] :
( ( p(X1)
=> q(X0) )
=> ( p(X0)
=> q(X0) ) )
& ( ( ? [X0] : q(X0)
| ? [X0] : p(X0) )
<=> ? [X0] :
( p(X0)
| q(X0) ) )
& ( ( c
=> ! [X0] : p(X0) )
<=> ! [X0] :
( c
=> p(X0) ) )
& ( ( c
=> ? [X0] : p(X0) )
<=> ? [X0] :
( c
=> p(X0) ) )
& ? [X1] :
( p(X1)
=> ! [X0] : p(X0) )
& ( ! [X0] : p(X0)
=> ? [X0] : p(X0) )
& ( ? [X0] :
( q(X0)
& p(X0) )
=> ( ? [X0] : p(X0)
& ? [X0] : q(X0) ) )
& ( ( ( ! [X3] :
( f(X3)
=> h(X3) )
| ! [X2] :
( f(X2)
=> g(X2) ) )
& ( ! [X0] :
( ( f(X0)
& g(X0) )
=> h(X0) )
=> ? [X0] :
( ~ g(X0)
& f(X0) ) ) )
=> ( ! [X4] :
( ( f(X4)
& h(X4) )
=> g(X4) )
=> ? [X5] :
( g(X5)
& f(X5)
& ~ h(X5) ) ) )
& ( ( ( ! [X2] :
( f(X2)
=> g(X2) )
| ! [X3] :
( f(X3)
=> h(X3) ) )
& ! [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) ) ) )
& ( ( ! [X0] : q(X0)
& ! [X0] : p(X0) )
<=> ! [X0] :
( p(X0)
& q(X0) ) )
& ( ( ! [X0] : p(X0)
| ! [X0] : q(X0) )
=> ! [X0] :
( p(X0)
| q(X0) ) )
& ( c
<=> ? [X0] : c )
& ( ( ! [X0,X1] :
( r(X0,X1)
=> r(X1,X0) )
& ! [X3,X0,X1] :
( ( r(X1,X3)
& r(X0,X1) )
=> r(X0,X3) ) )
=> ! [X0,X1] :
( r(X0,X1)
=> r(X0,X0) ) )
& ( ( ? [X0] : p(X0)
=> c )
<=> ! [X0] :
( p(X0)
=> c ) )
& ( ( c
& ? [X0] : p(X0) )
<=> ? [X0] :
( c
& p(X0) ) )
& ( ~ ? [X1] : p(X1)
=> ! [X1] :
( ? [X0] : p(X0)
=> p(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f548,plain,
( ~ spl49_14
| ~ spl49_1 ),
inference(avatar_split_clause,[],[f210,f228,f280]) ).
fof(f210,plain,
( ~ c
| ~ sP9 ),
inference(duplicate_literal_removal,[],[f150]) ).
fof(f150,plain,
( ~ c
| ~ sP9
| ~ c ),
inference(cnf_transformation,[],[f69]) ).
fof(f542,plain,
( spl49_66
| ~ spl49_8 ),
inference(avatar_split_clause,[],[f133,f256,f539]) ).
fof(f133,plain,
( ~ sP13
| p(sK25) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( ( q(sK25)
& p(sK25)
& ( ! [X1] : ~ p(X1)
| ! [X2] : ~ q(X2) ) )
| ~ sP13 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f47,f48]) ).
fof(f48,plain,
( ? [X0] :
( q(X0)
& p(X0) )
=> ( q(sK25)
& p(sK25) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
( ( ? [X0] :
( q(X0)
& p(X0) )
& ( ! [X1] : ~ p(X1)
| ! [X2] : ~ q(X2) ) )
| ~ sP13 ),
inference(rectify,[],[f46]) ).
fof(f46,plain,
( ( ? [X20] :
( q(X20)
& p(X20) )
& ( ! [X21] : ~ p(X21)
| ! [X22] : ~ q(X22) ) )
| ~ sP13 ),
inference(nnf_transformation,[],[f19]) ).
fof(f537,plain,
( ~ spl49_22
| spl49_9
| spl49_9
| ~ spl49_1 ),
inference(avatar_split_clause,[],[f211,f228,f261,f261,f312]) ).
fof(f211,plain,
! [X2,X3] :
( ~ c
| p(X2)
| p(X3)
| ~ sP8 ),
inference(duplicate_literal_removal,[],[f154]) ).
fof(f154,plain,
! [X2,X3] :
( ~ sP8
| p(X3)
| ~ c
| p(X2)
| ~ c ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
( ( ( ( ~ p(sK32)
& c )
| ( c
& ~ p(sK33) ) )
& ( ! [X2] : p(X2)
| ~ c
| ! [X3] :
( ~ c
| p(X3) ) ) )
| ~ sP8 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK32,sK33])],[f72,f74,f73]) ).
fof(f73,plain,
( ? [X0] : ~ p(X0)
=> ~ p(sK32) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
( ? [X1] :
( c
& ~ p(X1) )
=> ( c
& ~ p(sK33) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
( ( ( ( ? [X0] : ~ p(X0)
& c )
| ? [X1] :
( c
& ~ p(X1) ) )
& ( ! [X2] : p(X2)
| ~ c
| ! [X3] :
( ~ c
| p(X3) ) ) )
| ~ sP8 ),
inference(rectify,[],[f71]) ).
fof(f71,plain,
( ( ( ( ? [X12] : ~ p(X12)
& c )
| ? [X13] :
( c
& ~ p(X13) ) )
& ( ! [X12] : p(X12)
| ~ c
| ! [X13] :
( ~ c
| p(X13) ) ) )
| ~ sP8 ),
inference(flattening,[],[f70]) ).
fof(f70,plain,
( ( ( ( ? [X12] : ~ p(X12)
& c )
| ? [X13] :
( c
& ~ p(X13) ) )
& ( ! [X12] : p(X12)
| ~ c
| ! [X13] :
( ~ c
| p(X13) ) ) )
| ~ sP8 ),
inference(nnf_transformation,[],[f14]) ).
fof(f536,plain,
( ~ spl49_18
| spl49_65 ),
inference(avatar_split_clause,[],[f129,f533,f296]) ).
fof(f129,plain,
( p(sK24)
| ~ sP14 ),
inference(cnf_transformation,[],[f45]) ).
fof(f531,plain,
( ~ spl49_22
| ~ spl49_64
| ~ spl49_61 ),
inference(avatar_split_clause,[],[f157,f507,f528,f312]) ).
fof(f157,plain,
( ~ p(sK32)
| ~ p(sK33)
| ~ sP8 ),
inference(cnf_transformation,[],[f75]) ).
fof(f521,plain,
( spl49_20
| ~ spl49_1
| spl49_13
| spl49_17
| spl49_3
| spl49_24
| spl49_14
| spl49_21
| spl49_16
| spl49_12
| spl49_7
| spl49_10
| spl49_19
| spl49_23
| spl49_18
| spl49_15
| spl49_5
| spl49_22
| spl49_8 ),
inference(avatar_split_clause,[],[f212,f256,f312,f245,f284,f296,f316,f300,f264,f253,f272,f288,f308,f280,f320,f236,f292,f276,f228,f304]) ).
fof(f212,plain,
! [X1] :
( sP13
| sP8
| sP3
| sP12
| sP14
| sP11
| sP4
| sP2
| ~ p(X1)
| sP7
| sP5
| sP6
| sP9
| sP15
| sP10
| sP18
| sP16
| ~ c
| sP17 ),
inference(duplicate_literal_removal,[],[f204]) ).
fof(f204,plain,
! [X1] :
( ~ p(X1)
| sP13
| sP3
| sP10
| sP7
| sP11
| sP15
| sP5
| ~ c
| sP12
| sP17
| sP2
| ~ c
| sP14
| ~ c
| sP4
| sP9
| sP8
| sP18
| sP16
| ~ c
| sP6 ),
inference(cnf_transformation,[],[f118]) ).
fof(f519,plain,
( spl49_1
| ~ spl49_3 ),
inference(avatar_split_clause,[],[f213,f236,f228]) ).
fof(f213,plain,
( ~ sP10
| c ),
inference(duplicate_literal_removal,[],[f147]) ).
fof(f147,plain,
( ~ sP10
| c
| c ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
( ( ( ~ c
| ! [X0] : ~ p(X0)
| ! [X1] :
( ~ c
| ~ p(X1) ) )
& ( ( c
& p(sK28) )
| ( c
& p(sK29) ) ) )
| ~ sP10 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28,sK29])],[f60,f62,f61]) ).
fof(f61,plain,
( ? [X2] : p(X2)
=> p(sK28) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
( ? [X3] :
( c
& p(X3) )
=> ( c
& p(sK29) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
( ( ( ~ c
| ! [X0] : ~ p(X0)
| ! [X1] :
( ~ c
| ~ p(X1) ) )
& ( ( c
& ? [X2] : p(X2) )
| ? [X3] :
( c
& p(X3) ) ) )
| ~ sP10 ),
inference(rectify,[],[f59]) ).
fof(f59,plain,
( ( ( ~ c
| ! [X51] : ~ p(X51)
| ! [X52] :
( ~ c
| ~ p(X52) ) )
& ( ( c
& ? [X51] : p(X51) )
| ? [X52] :
( c
& p(X52) ) ) )
| ~ sP10 ),
inference(flattening,[],[f58]) ).
fof(f58,plain,
( ( ( ~ c
| ! [X51] : ~ p(X51)
| ! [X52] :
( ~ c
| ~ p(X52) ) )
& ( ( c
& ? [X51] : p(X51) )
| ? [X52] :
( c
& p(X52) ) ) )
| ~ sP10 ),
inference(nnf_transformation,[],[f16]) ).
fof(f518,plain,
( spl49_29
| ~ spl49_23 ),
inference(avatar_split_clause,[],[f142,f316,f347]) ).
fof(f142,plain,
! [X0] :
( ~ sP11
| g(X0)
| ~ h(X0)
| ~ f(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
( ( sP1
& ! [X0] :
( ~ f(X0)
| ~ h(X0)
| g(X0) )
& ( ! [X1] :
( g(X1)
| ~ f(X1) )
| ! [X2] :
( h(X2)
| ~ f(X2) ) )
& ! [X3] :
( ~ g(X3)
| h(X3)
| ~ f(X3) ) )
| ~ sP11 ),
inference(rectify,[],[f56]) ).
fof(f56,plain,
( ( sP1
& ! [X27] :
( ~ f(X27)
| ~ h(X27)
| g(X27) )
& ( ! [X24] :
( g(X24)
| ~ f(X24) )
| ! [X23] :
( h(X23)
| ~ f(X23) ) )
& ! [X28] :
( ~ g(X28)
| h(X28)
| ~ f(X28) ) )
| ~ sP11 ),
inference(nnf_transformation,[],[f17]) ).
fof(f517,plain,
( ~ spl49_1
| ~ spl49_12 ),
inference(avatar_split_clause,[],[f214,f272,f228]) ).
fof(f214,plain,
( ~ sP7
| ~ c ),
inference(duplicate_literal_removal,[],[f162]) ).
fof(f162,plain,
( ~ sP7
| ~ c
| ~ c ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
( ( ( ( ~ c
& ~ p(sK34) )
| ( ~ p(sK35)
& ~ c ) )
& ( ! [X2] :
( c
| p(X2) )
| ! [X3] : p(X3)
| c ) )
| ~ sP7 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK34,sK35])],[f78,f80,f79]) ).
fof(f79,plain,
( ? [X0] :
( ~ c
& ~ p(X0) )
=> ( ~ c
& ~ p(sK34) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
( ? [X1] : ~ p(X1)
=> ~ p(sK35) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
( ( ( ? [X0] :
( ~ c
& ~ p(X0) )
| ( ? [X1] : ~ p(X1)
& ~ c ) )
& ( ! [X2] :
( c
| p(X2) )
| ! [X3] : p(X3)
| c ) )
| ~ sP7 ),
inference(rectify,[],[f77]) ).
fof(f77,plain,
( ( ( ? [X2] :
( ~ c
& ~ p(X2) )
| ( ? [X3] : ~ p(X3)
& ~ c ) )
& ( ! [X2] :
( c
| p(X2) )
| ! [X3] : p(X3)
| c ) )
| ~ sP7 ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
( ( ( ? [X2] :
( ~ c
& ~ p(X2) )
| ( ? [X3] : ~ p(X3)
& ~ c ) )
& ( ! [X2] :
( c
| p(X2) )
| ! [X3] : p(X3)
| c ) )
| ~ sP7 ),
inference(nnf_transformation,[],[f13]) ).
fof(f512,plain,
( spl49_9
| ~ spl49_20 ),
inference(avatar_split_clause,[],[f121,f304,f261]) ).
fof(f121,plain,
! [X0] :
( ~ sP17
| p(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
( ! [X0] :
( ~ p(sK20)
& p(X0) )
| ~ sP17 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f30,f31]) ).
fof(f31,plain,
( ? [X1] : ~ p(X1)
=> ~ p(sK20) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
( ! [X0] :
( ? [X1] : ~ p(X1)
& p(X0) )
| ~ sP17 ),
inference(rectify,[],[f29]) ).
fof(f29,plain,
( ! [X16] :
( ? [X17] : ~ p(X17)
& p(X16) )
| ~ sP17 ),
inference(nnf_transformation,[],[f23]) ).
fof(f505,plain,
( spl49_59
| ~ spl49_34
| spl49_60 ),
inference(avatar_split_clause,[],[f191,f502,f374,f498]) ).
fof(f191,plain,
( f(sK46)
| ~ sP1
| f(sK47) ),
inference(cnf_transformation,[],[f112]) ).
fof(f496,plain,
( spl49_9
| ~ spl49_13 ),
inference(avatar_split_clause,[],[f123,f276,f261]) ).
fof(f123,plain,
! [X0] :
( ~ sP16
| p(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( ! [X0] :
( ( q(X0)
| ~ p(sK21(X0)) )
& ~ q(X0)
& p(X0) )
| ~ sP16 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f34,f35]) ).
fof(f35,plain,
! [X0] :
( ? [X1] :
( ( q(X0)
| ~ p(X1) )
& ~ q(X0)
& p(X0) )
=> ( ( q(X0)
| ~ p(sK21(X0)) )
& ~ q(X0)
& p(X0) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
( ! [X0] :
? [X1] :
( ( q(X0)
| ~ p(X1) )
& ~ q(X0)
& p(X0) )
| ~ sP16 ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
( ! [X7] :
? [X8] :
( ( q(X7)
| ~ p(X8) )
& ~ q(X7)
& p(X7) )
| ~ sP16 ),
inference(nnf_transformation,[],[f22]) ).
fof(f490,plain,
( ~ spl49_15
| ~ spl49_1
| spl49_56
| spl49_57 ),
inference(avatar_split_clause,[],[f216,f487,f483,f228,f284]) ).
fof(f216,plain,
( p(sK27)
| p(sK26)
| ~ c
| ~ sP12 ),
inference(duplicate_literal_removal,[],[f135]) ).
fof(f135,plain,
( p(sK26)
| p(sK27)
| ~ sP12
| ~ c
| ~ c ),
inference(cnf_transformation,[],[f55]) ).
fof(f480,plain,
( ~ spl49_16
| spl49_55 ),
inference(avatar_split_clause,[],[f172,f478,f288]) ).
fof(f172,plain,
! [X0,X1] :
( ~ r(X0,X1)
| r(X1,X0)
| ~ sP5 ),
inference(cnf_transformation,[],[f91]) ).
fof(f476,plain,
( spl49_9
| spl49_9
| ~ spl49_10 ),
inference(avatar_split_clause,[],[f185,f264,f261,f261]) ).
fof(f185,plain,
! [X3,X5] :
( ~ sP2
| p(X5)
| p(X3) ),
inference(cnf_transformation,[],[f107]) ).
fof(f475,plain,
( spl49_6
| spl49_6
| ~ spl49_19 ),
inference(avatar_split_clause,[],[f176,f300,f250,f250]) ).
fof(f176,plain,
! [X2,X0] :
( ~ sP4
| ~ q(X2)
| ~ q(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
( ( ( ! [X0] :
( ~ q(X0)
& ~ p(X0) )
| ( ! [X1] : ~ p(X1)
& ! [X2] : ~ q(X2) ) )
& ( q(sK40)
| p(sK40)
| p(sK41)
| q(sK42) ) )
| ~ sP4 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK40,sK41,sK42])],[f94,f97,f96,f95]) ).
fof(f95,plain,
( ? [X3] :
( q(X3)
| p(X3) )
=> ( q(sK40)
| p(sK40) ) ),
introduced(choice_axiom,[]) ).
fof(f96,plain,
( ? [X4] : p(X4)
=> p(sK41) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
( ? [X5] : q(X5)
=> q(sK42) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
( ( ( ! [X0] :
( ~ q(X0)
& ~ p(X0) )
| ( ! [X1] : ~ p(X1)
& ! [X2] : ~ q(X2) ) )
& ( ? [X3] :
( q(X3)
| p(X3) )
| ? [X4] : p(X4)
| ? [X5] : q(X5) ) )
| ~ sP4 ),
inference(rectify,[],[f93]) ).
fof(f93,plain,
( ( ( ! [X11] :
( ~ q(X11)
& ~ p(X11) )
| ( ! [X10] : ~ p(X10)
& ! [X9] : ~ q(X9) ) )
& ( ? [X11] :
( q(X11)
| p(X11) )
| ? [X10] : p(X10)
| ? [X9] : q(X9) ) )
| ~ sP4 ),
inference(flattening,[],[f92]) ).
fof(f92,plain,
( ( ( ! [X11] :
( ~ q(X11)
& ~ p(X11) )
| ( ! [X10] : ~ p(X10)
& ! [X9] : ~ q(X9) ) )
& ( ? [X11] :
( q(X11)
| p(X11) )
| ? [X10] : p(X10)
| ? [X9] : q(X9) ) )
| ~ sP4 ),
inference(nnf_transformation,[],[f10]) ).
fof(f474,plain,
( spl49_54
| ~ spl49_16 ),
inference(avatar_split_clause,[],[f170,f288,f471]) ).
fof(f170,plain,
( ~ sP5
| r(sK38,sK39) ),
inference(cnf_transformation,[],[f91]) ).
fof(f468,plain,
( ~ spl49_10
| ~ spl49_50
| ~ spl49_51
| ~ spl49_52
| ~ spl49_53 ),
inference(avatar_split_clause,[],[f186,f465,f461,f457,f453,f264]) ).
fof(f186,plain,
( ~ p(sK43)
| ~ p(sK45)
| ~ q(sK45)
| ~ q(sK44)
| ~ sP2 ),
inference(cnf_transformation,[],[f107]) ).
fof(f446,plain,
( spl49_45
| spl49_46
| ~ spl49_19
| spl49_47
| spl49_48 ),
inference(avatar_split_clause,[],[f173,f443,f439,f300,f435,f431]) ).
fof(f173,plain,
( q(sK40)
| p(sK41)
| ~ sP4
| p(sK40)
| q(sK42) ),
inference(cnf_transformation,[],[f98]) ).
fof(f429,plain,
( ~ spl49_17
| spl49_9 ),
inference(avatar_split_clause,[],[f120,f261,f292]) ).
fof(f120,plain,
! [X1] :
( p(X1)
| ~ sP18 ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
( ( ! [X1] : p(X1)
& ~ p(sK19) )
| ~ sP18 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f26,f27]) ).
fof(f27,plain,
( ? [X0] :
( ! [X1] : p(X1)
& ~ p(X0) )
=> ( ! [X1] : p(X1)
& ~ p(sK19) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
( ? [X0] :
( ! [X1] : p(X1)
& ~ p(X0) )
| ~ sP18 ),
inference(nnf_transformation,[],[f24]) ).
fof(f428,plain,
( spl49_7
| spl49_7
| ~ spl49_19 ),
inference(avatar_split_clause,[],[f175,f300,f253,f253]) ).
fof(f175,plain,
! [X0,X1] :
( ~ sP4
| ~ p(X0)
| ~ p(X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f427,plain,
( spl49_44
| ~ spl49_13 ),
inference(avatar_split_clause,[],[f125,f276,f425]) ).
fof(f125,plain,
! [X0] :
( ~ sP16
| ~ p(sK21(X0))
| q(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f422,plain,
( spl49_8
| spl49_18
| spl49_21
| spl49_20
| spl49_12
| spl49_3
| spl49_14
| ~ spl49_1
| spl49_19
| spl49_16
| spl49_22
| spl49_10
| spl49_23
| spl49_9
| spl49_17
| spl49_15
| spl49_24
| spl49_13
| spl49_5 ),
inference(avatar_split_clause,[],[f217,f245,f276,f320,f284,f292,f261,f316,f264,f312,f288,f300,f228,f280,f236,f272,f304,f308,f296,f256]) ).
fof(f217,plain,
! [X0] :
( sP3
| sP16
| sP15
| sP12
| sP18
| p(X0)
| sP11
| sP2
| sP8
| sP5
| sP4
| ~ c
| sP9
| sP10
| sP7
| sP17
| sP6
| sP14
| sP13 ),
inference(duplicate_literal_removal,[],[f206]) ).
fof(f206,plain,
! [X0] :
( ~ c
| ~ c
| sP10
| sP11
| sP3
| sP7
| sP4
| sP15
| sP13
| ~ c
| sP16
| sP12
| sP6
| sP14
| sP17
| sP18
| sP8
| sP9
| p(X0)
| ~ c
| sP2
| sP5 ),
inference(cnf_transformation,[],[f118]) ).
fof(f421,plain,
( ~ spl49_21
| ~ spl49_1 ),
inference(avatar_split_clause,[],[f218,f228,f308]) ).
fof(f218,plain,
( ~ c
| ~ sP6 ),
inference(duplicate_literal_removal,[],[f166]) ).
fof(f166,plain,
( ~ c
| ~ sP6
| ~ c ),
inference(cnf_transformation,[],[f87]) ).
fof(f420,plain,
( ~ spl49_34
| ~ spl49_42
| ~ spl49_43 ),
inference(avatar_split_clause,[],[f188,f417,f413,f374]) ).
fof(f188,plain,
( ~ h(sK46)
| ~ g(sK47)
| ~ sP1 ),
inference(cnf_transformation,[],[f112]) ).
fof(f410,plain,
( ~ spl49_40
| ~ spl49_41
| ~ spl49_12 ),
inference(avatar_split_clause,[],[f161,f272,f407,f403]) ).
fof(f161,plain,
( ~ sP7
| ~ p(sK35)
| ~ p(sK34) ),
inference(cnf_transformation,[],[f81]) ).
fof(f401,plain,
( spl49_7
| ~ spl49_1
| ~ spl49_3
| spl49_7 ),
inference(avatar_split_clause,[],[f220,f253,f236,f228,f253]) ).
fof(f220,plain,
! [X0,X1] :
( ~ p(X1)
| ~ sP10
| ~ c
| ~ p(X0) ),
inference(duplicate_literal_removal,[],[f148]) ).
fof(f148,plain,
! [X0,X1] :
( ~ p(X0)
| ~ p(X1)
| ~ sP10
| ~ c
| ~ c ),
inference(cnf_transformation,[],[f63]) ).
fof(f400,plain,
( ~ spl49_5
| spl49_38
| spl49_37 ),
inference(avatar_split_clause,[],[f181,f389,f392,f245]) ).
fof(f181,plain,
! [X0,X1] :
( ~ f(X1)
| ~ f(X0)
| ~ sP3
| g(X1)
| h(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
( ( ( ! [X0] :
( h(X0)
| ~ f(X0) )
| ! [X1] :
( ~ f(X1)
| g(X1) ) )
& ! [X2] :
( h(X2)
| ~ f(X2)
| ~ g(X2) )
& ! [X3] :
( ~ h(X3)
| g(X3)
| ~ f(X3) )
& sP0 )
| ~ sP3 ),
inference(rectify,[],[f99]) ).
fof(f99,plain,
( ( ( ! [X30] :
( h(X30)
| ~ f(X30) )
| ! [X29] :
( ~ f(X29)
| g(X29) ) )
& ! [X34] :
( h(X34)
| ~ f(X34)
| ~ g(X34) )
& ! [X33] :
( ~ h(X33)
| g(X33)
| ~ f(X33) )
& sP0 )
| ~ sP3 ),
inference(nnf_transformation,[],[f9]) ).
fof(f399,plain,
( ~ spl49_8
| spl49_39 ),
inference(avatar_split_clause,[],[f134,f396,f256]) ).
fof(f134,plain,
( q(sK25)
| ~ sP13 ),
inference(cnf_transformation,[],[f49]) ).
fof(f394,plain,
( ~ spl49_23
| spl49_37
| spl49_38 ),
inference(avatar_split_clause,[],[f141,f392,f389,f316]) ).
fof(f141,plain,
! [X2,X1] :
( ~ f(X2)
| g(X1)
| ~ sP11
| ~ f(X1)
| h(X2) ),
inference(cnf_transformation,[],[f57]) ).
fof(f387,plain,
( ~ spl49_24
| ~ spl49_36 ),
inference(avatar_split_clause,[],[f127,f384,f320]) ).
fof(f127,plain,
( ~ q(sK22)
| ~ sP15 ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
( ( ( ! [X0] : p(X0)
| ! [X1] : q(X1) )
& ~ q(sK22)
& ~ p(sK22) )
| ~ sP15 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f38,f39]) ).
fof(f39,plain,
( ? [X2] :
( ~ q(X2)
& ~ p(X2) )
=> ( ~ q(sK22)
& ~ p(sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
( ( ( ! [X0] : p(X0)
| ! [X1] : q(X1) )
& ? [X2] :
( ~ q(X2)
& ~ p(X2) ) )
| ~ sP15 ),
inference(rectify,[],[f37]) ).
fof(f37,plain,
( ( ( ! [X38] : p(X38)
| ! [X39] : q(X39) )
& ? [X40] :
( ~ q(X40)
& ~ p(X40) ) )
| ~ sP15 ),
inference(nnf_transformation,[],[f21]) ).
fof(f382,plain,
( ~ spl49_3
| spl49_35
| spl49_2 ),
inference(avatar_split_clause,[],[f144,f232,f379,f236]) ).
fof(f144,plain,
( p(sK29)
| p(sK28)
| ~ sP10 ),
inference(cnf_transformation,[],[f63]) ).
fof(f377,plain,
( spl49_34
| ~ spl49_23 ),
inference(avatar_split_clause,[],[f143,f316,f374]) ).
fof(f143,plain,
( ~ sP11
| sP1 ),
inference(cnf_transformation,[],[f57]) ).
fof(f372,plain,
( spl49_11
| ~ spl49_24
| spl49_9 ),
inference(avatar_split_clause,[],[f128,f261,f320,f268]) ).
fof(f128,plain,
! [X0,X1] :
( p(X0)
| ~ sP15
| q(X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f371,plain,
( ~ spl49_20
| ~ spl49_33 ),
inference(avatar_split_clause,[],[f122,f368,f304]) ).
fof(f122,plain,
( ~ p(sK20)
| ~ sP17 ),
inference(cnf_transformation,[],[f32]) ).
fof(f366,plain,
( spl49_7
| spl49_1
| ~ spl49_14
| spl49_7 ),
inference(avatar_split_clause,[],[f222,f253,f280,f228,f253]) ).
fof(f222,plain,
! [X2,X3] :
( ~ p(X2)
| ~ sP9
| c
| ~ p(X3) ),
inference(duplicate_literal_removal,[],[f149]) ).
fof(f149,plain,
! [X2,X3] :
( c
| ~ sP9
| c
| ~ p(X3)
| ~ p(X2) ),
inference(cnf_transformation,[],[f69]) ).
fof(f365,plain,
( spl49_32
| ~ spl49_23 ),
inference(avatar_split_clause,[],[f140,f316,f362]) ).
fof(f140,plain,
! [X3] :
( ~ sP11
| h(X3)
| ~ f(X3)
| ~ g(X3) ),
inference(cnf_transformation,[],[f57]) ).
fof(f364,plain,
( ~ spl49_5
| spl49_32 ),
inference(avatar_split_clause,[],[f180,f362,f245]) ).
fof(f180,plain,
! [X2] :
( h(X2)
| ~ sP3
| ~ g(X2)
| ~ f(X2) ),
inference(cnf_transformation,[],[f100]) ).
fof(f360,plain,
( ~ spl49_24
| ~ spl49_31 ),
inference(avatar_split_clause,[],[f126,f357,f320]) ).
fof(f126,plain,
( ~ p(sK22)
| ~ sP15 ),
inference(cnf_transformation,[],[f40]) ).
fof(f355,plain,
( ~ spl49_30
| ~ spl49_17 ),
inference(avatar_split_clause,[],[f119,f292,f352]) ).
fof(f119,plain,
( ~ sP18
| ~ p(sK19) ),
inference(cnf_transformation,[],[f28]) ).
fof(f350,plain,
( ~ spl49_21
| spl49_9
| spl49_9 ),
inference(avatar_split_clause,[],[f167,f261,f261,f308]) ).
fof(f167,plain,
! [X0,X1] :
( p(X0)
| p(X1)
| ~ sP6 ),
inference(cnf_transformation,[],[f87]) ).
fof(f349,plain,
( ~ spl49_5
| spl49_29 ),
inference(avatar_split_clause,[],[f179,f347,f245]) ).
fof(f179,plain,
! [X3] :
( ~ f(X3)
| ~ h(X3)
| ~ sP3
| g(X3) ),
inference(cnf_transformation,[],[f100]) ).
fof(f345,plain,
( ~ spl49_22
| spl49_1 ),
inference(avatar_split_clause,[],[f223,f228,f312]) ).
fof(f223,plain,
( c
| ~ sP8 ),
inference(duplicate_literal_removal,[],[f156]) ).
fof(f156,plain,
( c
| c
| ~ sP8 ),
inference(cnf_transformation,[],[f75]) ).
fof(f339,plain,
( ~ spl49_16
| ~ spl49_27 ),
inference(avatar_split_clause,[],[f171,f336,f288]) ).
fof(f171,plain,
( ~ r(sK38,sK38)
| ~ sP5 ),
inference(cnf_transformation,[],[f91]) ).
fof(f334,plain,
( ~ spl49_13
| spl49_6 ),
inference(avatar_split_clause,[],[f124,f250,f276]) ).
fof(f124,plain,
! [X0] :
( ~ q(X0)
| ~ sP16 ),
inference(cnf_transformation,[],[f36]) ).
fof(f332,plain,
( spl49_25
| spl49_26
| ~ spl49_4 ),
inference(avatar_split_clause,[],[f198,f241,f330,f326]) ).
fof(f198,plain,
! [X0] :
( ~ sP0
| f(X0)
| f(sK48) ),
inference(cnf_transformation,[],[f116]) ).
fof(f324,plain,
( spl49_1
| ~ spl49_12
| spl49_9
| spl49_9 ),
inference(avatar_split_clause,[],[f224,f261,f261,f272,f228]) ).
fof(f224,plain,
! [X2,X3] :
( p(X3)
| p(X2)
| ~ sP7
| c ),
inference(duplicate_literal_removal,[],[f159]) ).
fof(f159,plain,
! [X2,X3] :
( p(X3)
| p(X2)
| c
| c
| ~ sP7 ),
inference(cnf_transformation,[],[f81]) ).
fof(f323,plain,
( spl49_1
| spl49_12
| spl49_13
| spl49_14
| spl49_15
| spl49_16
| spl49_17
| spl49_3
| spl49_18
| spl49_10
| spl49_8
| spl49_19
| spl49_20
| spl49_21
| spl49_5
| spl49_22
| spl49_7
| spl49_23
| spl49_24 ),
inference(avatar_split_clause,[],[f225,f320,f316,f253,f312,f245,f308,f304,f300,f256,f264,f296,f236,f292,f288,f284,f280,f276,f272,f228]) ).
fof(f225,plain,
! [X1] :
( sP15
| sP11
| ~ p(X1)
| sP8
| sP3
| sP6
| sP17
| sP4
| sP13
| sP2
| sP14
| sP10
| sP18
| sP5
| sP12
| sP9
| sP16
| sP7
| c ),
inference(duplicate_literal_removal,[],[f199]) ).
fof(f199,plain,
! [X1] :
( sP2
| sP17
| sP14
| sP5
| sP3
| sP10
| c
| sP8
| sP7
| sP6
| c
| c
| ~ p(X1)
| c
| sP18
| sP11
| sP4
| sP9
| sP16
| sP15
| sP12
| sP13 ),
inference(cnf_transformation,[],[f118]) ).
fof(f259,plain,
( spl49_6
| spl49_7
| ~ spl49_8 ),
inference(avatar_split_clause,[],[f132,f256,f253,f250]) ).
fof(f132,plain,
! [X2,X1] :
( ~ sP13
| ~ p(X1)
| ~ q(X2) ),
inference(cnf_transformation,[],[f49]) ).
fof(f248,plain,
( spl49_4
| ~ spl49_5 ),
inference(avatar_split_clause,[],[f178,f245,f241]) ).
fof(f178,plain,
( ~ sP3
| sP0 ),
inference(cnf_transformation,[],[f100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN917+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 22:31:18 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.49 % (20181)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)
% 0.20/0.50 % (20197)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)
% 0.20/0.50 % (20182)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)
% 0.20/0.50 % (20190)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)
% 0.20/0.50 % (20189)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)
% 0.20/0.50 % (20182)Instruction limit reached!
% 0.20/0.50 % (20182)------------------------------
% 0.20/0.50 % (20182)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (20182)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (20182)Termination reason: Unknown
% 0.20/0.50 % (20182)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (20182)Memory used [KB]: 1535
% 0.20/0.50 % (20182)Time elapsed: 0.005 s
% 0.20/0.50 % (20182)Instructions burned: 3 (million)
% 0.20/0.50 % (20182)------------------------------
% 0.20/0.50 % (20182)------------------------------
% 0.20/0.50 % (20179)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51 % (20189)Refutation not found, incomplete strategy% (20189)------------------------------
% 0.20/0.51 % (20189)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (20174)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)
% 0.20/0.51 % (20174)First to succeed.
% 0.20/0.52 % (20180)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.52 % (20189)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (20189)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (20189)Memory used [KB]: 6140
% 0.20/0.52 % (20189)Time elapsed: 0.109 s
% 0.20/0.52 % (20189)Instructions burned: 7 (million)
% 0.20/0.52 % (20189)------------------------------
% 0.20/0.52 % (20189)------------------------------
% 0.20/0.52 % (20187)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.52 % (20193)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)
% 0.20/0.52 % (20180)Refutation not found, incomplete strategy% (20180)------------------------------
% 0.20/0.52 % (20180)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (20180)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (20180)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (20180)Memory used [KB]: 1663
% 0.20/0.52 % (20180)Time elapsed: 0.114 s
% 0.20/0.52 % (20180)Instructions burned: 6 (million)
% 0.20/0.52 % (20180)------------------------------
% 0.20/0.52 % (20180)------------------------------
% 0.20/0.52 % (20172)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)
% 0.20/0.52 % (20170)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)
% 0.20/0.52 % (20170)Instruction limit reached!
% 0.20/0.52 % (20170)------------------------------
% 0.20/0.52 % (20170)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (20170)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (20170)Termination reason: Unknown
% 0.20/0.52 % (20170)Termination phase: Preprocessing 3
% 0.20/0.52
% 0.20/0.52 % (20170)Memory used [KB]: 1535
% 0.20/0.52 % (20170)Time elapsed: 0.004 s
% 0.20/0.52 % (20170)Instructions burned: 3 (million)
% 0.20/0.52 % (20170)------------------------------
% 0.20/0.52 % (20170)------------------------------
% 0.20/0.52 % (20168)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.52 % (20169)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)
% 0.20/0.53 % (20171)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)
% 0.20/0.53 % (20169)Refutation not found, incomplete strategy% (20169)------------------------------
% 0.20/0.53 % (20169)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (20169)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (20169)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (20169)Memory used [KB]: 6140
% 0.20/0.53 % (20169)Time elapsed: 0.125 s
% 0.20/0.53 % (20169)Instructions burned: 7 (million)
% 0.20/0.53 % (20169)------------------------------
% 0.20/0.53 % (20169)------------------------------
% 0.20/0.53 % (20181)Also succeeded, but the first one will report.
% 0.20/0.53 % (20174)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Theorem for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (20174)------------------------------
% 0.20/0.53 % (20174)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (20174)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (20174)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (20174)Memory used [KB]: 6396
% 0.20/0.53 % (20174)Time elapsed: 0.073 s
% 0.20/0.53 % (20174)Instructions burned: 9 (million)
% 0.20/0.53 % (20174)------------------------------
% 0.20/0.53 % (20174)------------------------------
% 0.20/0.53 % (20167)Success in time 0.18 s
%------------------------------------------------------------------------------