TSTP Solution File: SYN723+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN723+1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 19:39:22 EDT 2022
% Result : Theorem 0.17s 0.52s
% Output : Refutation 1.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 194
% Syntax : Number of formulae : 641 ( 1 unt; 0 def)
% Number of atoms : 2415 ( 0 equ)
% Maximal formula atoms : 34 ( 3 avg)
% Number of connectives : 2885 (1111 ~;1328 |; 178 &)
% ( 220 <=>; 46 =>; 0 <=; 2 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 152 ( 151 usr; 148 prp; 0-1 aty)
% Number of functors : 46 ( 46 usr; 39 con; 0-1 aty)
% Number of variables : 657 ( 479 !; 178 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f897,plain,
$false,
inference(avatar_sat_refutation,[],[f234,f242,f254,f262,f270,f287,f292,f297,f306,f314,f318,f326,f331,f336,f345,f349,f357,f373,f374,f375,f380,f389,f397,f402,f414,f427,f432,f437,f442,f443,f448,f453,f458,f463,f468,f473,f482,f487,f496,f505,f506,f507,f508,f513,f518,f523,f524,f533,f537,f550,f555,f560,f561,f562,f567,f572,f577,f578,f579,f588,f597,f598,f602,f610,f615,f616,f617,f622,f623,f627,f628,f629,f630,f631,f635,f636,f637,f646,f647,f652,f653,f654,f655,f664,f668,f672,f673,f682,f687,f688,f689,f690,f691,f695,f696,f697,f702,f703,f704,f705,f710,f711,f715,f716,f717,f718,f720,f722,f724,f726,f728,f730,f733,f736,f738,f741,f743,f745,f748,f750,f752,f754,f758,f762,f766,f768,f770,f775,f779,f781,f784,f792,f797,f799,f801,f803,f807,f810,f814,f818,f820,f828,f830,f832,f836,f838,f840,f858,f860,f867,f870,f880,f882,f888,f892,f893,f894,f896]) ).
fof(f896,plain,
( ~ spl89_41
| ~ spl89_94 ),
inference(avatar_contradiction_clause,[],[f895]) ).
fof(f895,plain,
( $false
| ~ spl89_41
| ~ spl89_94 ),
inference(subsumption_resolution,[],[f659,f392]) ).
fof(f392,plain,
( ! [X15] : ~ s(X15)
| ~ spl89_41 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f391,plain,
( spl89_41
<=> ! [X15] : ~ s(X15) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_41])]) ).
fof(f659,plain,
( s(sK31)
| ~ spl89_94 ),
inference(avatar_component_clause,[],[f657]) ).
fof(f657,plain,
( spl89_94
<=> s(sK31) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_94])]) ).
fof(f894,plain,
( ~ spl89_4
| spl89_95 ),
inference(avatar_contradiction_clause,[],[f890]) ).
fof(f890,plain,
( $false
| ~ spl89_4
| spl89_95 ),
inference(subsumption_resolution,[],[f663,f233]) ).
fof(f233,plain,
( ! [X2] : p(X2)
| ~ spl89_4 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f232,plain,
( spl89_4
<=> ! [X2] : p(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_4])]) ).
fof(f663,plain,
( ~ p(sK32)
| spl89_95 ),
inference(avatar_component_clause,[],[f661]) ).
fof(f661,plain,
( spl89_95
<=> p(sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_95])]) ).
fof(f893,plain,
( ~ spl89_4
| spl89_102 ),
inference(avatar_contradiction_clause,[],[f891]) ).
fof(f891,plain,
( $false
| ~ spl89_4
| spl89_102 ),
inference(subsumption_resolution,[],[f700,f233]) ).
fof(f700,plain,
( ~ p(sK48)
| spl89_102 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f699,plain,
( spl89_102
<=> p(sK48) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_102])]) ).
fof(f892,plain,
( ~ spl89_4
| spl89_88 ),
inference(avatar_contradiction_clause,[],[f889]) ).
fof(f889,plain,
( $false
| ~ spl89_4
| spl89_88 ),
inference(subsumption_resolution,[],[f621,f233]) ).
fof(f621,plain,
( ~ p(sK29)
| spl89_88 ),
inference(avatar_component_clause,[],[f619]) ).
fof(f619,plain,
( spl89_88
<=> p(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_88])]) ).
fof(f888,plain,
( ~ spl89_22
| ~ spl89_90 ),
inference(avatar_contradiction_clause,[],[f887]) ).
fof(f887,plain,
( $false
| ~ spl89_22
| ~ spl89_90 ),
inference(subsumption_resolution,[],[f886,f309]) ).
fof(f309,plain,
( ! [X2] : r(X2)
| ~ spl89_22 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f308,plain,
( spl89_22
<=> ! [X2] : r(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_22])]) ).
fof(f886,plain,
( ! [X4] : ~ r(X4)
| ~ spl89_22
| ~ spl89_90 ),
inference(subsumption_resolution,[],[f634,f309]) ).
fof(f634,plain,
( ! [X4] :
( ~ r(sK27(X4))
| ~ r(X4) )
| ~ spl89_90 ),
inference(avatar_component_clause,[],[f633]) ).
fof(f633,plain,
( spl89_90
<=> ! [X4] :
( ~ r(sK27(X4))
| ~ r(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_90])]) ).
fof(f882,plain,
( ~ spl89_22
| spl89_81 ),
inference(avatar_contradiction_clause,[],[f881]) ).
fof(f881,plain,
( $false
| ~ spl89_22
| spl89_81 ),
inference(subsumption_resolution,[],[f586,f309]) ).
fof(f586,plain,
( ~ r(sK15)
| spl89_81 ),
inference(avatar_component_clause,[],[f585]) ).
fof(f585,plain,
( spl89_81
<=> r(sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_81])]) ).
fof(f880,plain,
( ~ spl89_1
| ~ spl89_41 ),
inference(avatar_contradiction_clause,[],[f878]) ).
fof(f878,plain,
( $false
| ~ spl89_1
| ~ spl89_41 ),
inference(subsumption_resolution,[],[f222,f392]) ).
fof(f222,plain,
( s(sK30)
| ~ spl89_1 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f220,plain,
( spl89_1
<=> s(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_1])]) ).
fof(f870,plain,
( ~ spl89_5
| ~ spl89_96 ),
inference(avatar_contradiction_clause,[],[f869]) ).
fof(f869,plain,
( $false
| ~ spl89_5
| ~ spl89_96 ),
inference(subsumption_resolution,[],[f868,f237]) ).
fof(f237,plain,
( ! [X2] : ~ r(X2)
| ~ spl89_5 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f236,plain,
( spl89_5
<=> ! [X2] : ~ r(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_5])]) ).
fof(f868,plain,
( ! [X4] : r(sK27(X4))
| ~ spl89_5
| ~ spl89_96 ),
inference(subsumption_resolution,[],[f667,f237]) ).
fof(f667,plain,
( ! [X4] :
( r(sK27(X4))
| r(X4) )
| ~ spl89_96 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f666,plain,
( spl89_96
<=> ! [X4] :
( r(X4)
| r(sK27(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_96])]) ).
fof(f867,plain,
( ~ spl89_12
| ~ spl89_89 ),
inference(avatar_contradiction_clause,[],[f866]) ).
fof(f866,plain,
( $false
| ~ spl89_12
| ~ spl89_89 ),
inference(subsumption_resolution,[],[f865,f265]) ).
fof(f265,plain,
( ! [X19] : ~ q(X19)
| ~ spl89_12 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f264,plain,
( spl89_12
<=> ! [X19] : ~ q(X19) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_12])]) ).
fof(f865,plain,
( ! [X0] : q(sK13(X0))
| ~ spl89_12
| ~ spl89_89 ),
inference(subsumption_resolution,[],[f626,f265]) ).
fof(f626,plain,
( ! [X0] :
( q(X0)
| q(sK13(X0)) )
| ~ spl89_89 ),
inference(avatar_component_clause,[],[f625]) ).
fof(f625,plain,
( spl89_89
<=> ! [X0] :
( q(X0)
| q(sK13(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_89])]) ).
fof(f860,plain,
( ~ spl89_5
| ~ spl89_20 ),
inference(avatar_contradiction_clause,[],[f859]) ).
fof(f859,plain,
( $false
| ~ spl89_5
| ~ spl89_20 ),
inference(subsumption_resolution,[],[f301,f237]) ).
fof(f301,plain,
( r(sK19)
| ~ spl89_20 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f299,plain,
( spl89_20
<=> r(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_20])]) ).
fof(f858,plain,
( ~ spl89_26
| ~ spl89_84 ),
inference(avatar_contradiction_clause,[],[f857]) ).
fof(f857,plain,
( $false
| ~ spl89_26
| ~ spl89_84 ),
inference(subsumption_resolution,[],[f856,f325]) ).
fof(f325,plain,
( ! [X12] : s(X12)
| ~ spl89_26 ),
inference(avatar_component_clause,[],[f324]) ).
fof(f324,plain,
( spl89_26
<=> ! [X12] : s(X12) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_26])]) ).
fof(f856,plain,
( ! [X16] : ~ s(X16)
| ~ spl89_26
| ~ spl89_84 ),
inference(subsumption_resolution,[],[f601,f325]) ).
fof(f601,plain,
( ! [X16] :
( ~ s(sK45(X16))
| ~ s(X16) )
| ~ spl89_84 ),
inference(avatar_component_clause,[],[f600]) ).
fof(f600,plain,
( spl89_84
<=> ! [X16] :
( ~ s(sK45(X16))
| ~ s(X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_84])]) ).
fof(f840,plain,
( ~ spl89_12
| ~ spl89_23 ),
inference(avatar_contradiction_clause,[],[f839]) ).
fof(f839,plain,
( $false
| ~ spl89_12
| ~ spl89_23 ),
inference(subsumption_resolution,[],[f313,f265]) ).
fof(f313,plain,
( q(sK6)
| ~ spl89_23 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f311,plain,
( spl89_23
<=> q(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_23])]) ).
fof(f838,plain,
( ~ spl89_12
| ~ spl89_63 ),
inference(avatar_contradiction_clause,[],[f833]) ).
fof(f833,plain,
( $false
| ~ spl89_12
| ~ spl89_63 ),
inference(subsumption_resolution,[],[f495,f265]) ).
fof(f495,plain,
( q(sK9)
| ~ spl89_63 ),
inference(avatar_component_clause,[],[f493]) ).
fof(f493,plain,
( spl89_63
<=> q(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_63])]) ).
fof(f836,plain,
( ~ spl89_12
| ~ spl89_52 ),
inference(avatar_contradiction_clause,[],[f834]) ).
fof(f834,plain,
( $false
| ~ spl89_12
| ~ spl89_52 ),
inference(subsumption_resolution,[],[f441,f265]) ).
fof(f441,plain,
( q(sK12)
| ~ spl89_52 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f439,plain,
( spl89_52
<=> q(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_52])]) ).
fof(f832,plain,
( ~ spl89_32
| ~ spl89_102 ),
inference(avatar_contradiction_clause,[],[f831]) ).
fof(f831,plain,
( $false
| ~ spl89_32
| ~ spl89_102 ),
inference(subsumption_resolution,[],[f701,f352]) ).
fof(f352,plain,
( ! [X21] : ~ p(X21)
| ~ spl89_32 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f351,plain,
( spl89_32
<=> ! [X21] : ~ p(X21) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_32])]) ).
fof(f701,plain,
( p(sK48)
| ~ spl89_102 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f830,plain,
( ~ spl89_9
| ~ spl89_32 ),
inference(avatar_contradiction_clause,[],[f829]) ).
fof(f829,plain,
( $false
| ~ spl89_9
| ~ spl89_32 ),
inference(subsumption_resolution,[],[f253,f352]) ).
fof(f253,plain,
( p(sK43)
| ~ spl89_9 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f251,plain,
( spl89_9
<=> p(sK43) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_9])]) ).
fof(f828,plain,
( ~ spl89_41
| ~ spl89_91 ),
inference(avatar_contradiction_clause,[],[f827]) ).
fof(f827,plain,
( $false
| ~ spl89_41
| ~ spl89_91 ),
inference(subsumption_resolution,[],[f641,f392]) ).
fof(f641,plain,
( s(sK35)
| ~ spl89_91 ),
inference(avatar_component_clause,[],[f639]) ).
fof(f639,plain,
( spl89_91
<=> s(sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_91])]) ).
fof(f820,plain,
( ~ spl89_35
| spl89_47 ),
inference(avatar_contradiction_clause,[],[f819]) ).
fof(f819,plain,
( $false
| ~ spl89_35
| spl89_47 ),
inference(subsumption_resolution,[],[f418,f364]) ).
fof(f364,plain,
( ! [X7] : q(X7)
| ~ spl89_35 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f363,plain,
( spl89_35
<=> ! [X7] : q(X7) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_35])]) ).
fof(f418,plain,
( ~ q(sK47)
| spl89_47 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f416,plain,
( spl89_47
<=> q(sK47) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_47])]) ).
fof(f818,plain,
( ~ spl89_32
| ~ spl89_99 ),
inference(avatar_contradiction_clause,[],[f817]) ).
fof(f817,plain,
( $false
| ~ spl89_32
| ~ spl89_99 ),
inference(subsumption_resolution,[],[f681,f352]) ).
fof(f681,plain,
( p(sK41)
| ~ spl89_99 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f679,plain,
( spl89_99
<=> p(sK41) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_99])]) ).
fof(f814,plain,
( ~ spl89_41
| ~ spl89_100 ),
inference(avatar_contradiction_clause,[],[f812]) ).
fof(f812,plain,
( $false
| ~ spl89_41
| ~ spl89_100 ),
inference(subsumption_resolution,[],[f686,f392]) ).
fof(f686,plain,
( s(sK34)
| ~ spl89_100 ),
inference(avatar_component_clause,[],[f684]) ).
fof(f684,plain,
( spl89_100
<=> s(sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_100])]) ).
fof(f810,plain,
( ~ spl89_35
| ~ spl89_86 ),
inference(avatar_contradiction_clause,[],[f809]) ).
fof(f809,plain,
( $false
| ~ spl89_35
| ~ spl89_86 ),
inference(subsumption_resolution,[],[f808,f364]) ).
fof(f808,plain,
( ! [X0] : ~ q(X0)
| ~ spl89_35
| ~ spl89_86 ),
inference(subsumption_resolution,[],[f609,f364]) ).
fof(f609,plain,
( ! [X0] :
( ~ q(X0)
| ~ q(sK13(X0)) )
| ~ spl89_86 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f608,plain,
( spl89_86
<=> ! [X0] :
( ~ q(sK13(X0))
| ~ q(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_86])]) ).
fof(f807,plain,
( ~ spl89_5
| ~ spl89_31 ),
inference(avatar_contradiction_clause,[],[f806]) ).
fof(f806,plain,
( $false
| ~ spl89_5
| ~ spl89_31 ),
inference(subsumption_resolution,[],[f805,f237]) ).
fof(f805,plain,
( ! [X0] : r(sK25(X0))
| ~ spl89_5
| ~ spl89_31 ),
inference(subsumption_resolution,[],[f348,f237]) ).
fof(f348,plain,
( ! [X0] :
( r(sK25(X0))
| r(X0) )
| ~ spl89_31 ),
inference(avatar_component_clause,[],[f347]) ).
fof(f347,plain,
( spl89_31
<=> ! [X0] :
( r(X0)
| r(sK25(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_31])]) ).
fof(f803,plain,
( ~ spl89_35
| spl89_98 ),
inference(avatar_contradiction_clause,[],[f802]) ).
fof(f802,plain,
( $false
| ~ spl89_35
| spl89_98 ),
inference(subsumption_resolution,[],[f677,f364]) ).
fof(f677,plain,
( ~ q(sK42)
| spl89_98 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f675,plain,
( spl89_98
<=> q(sK42) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_98])]) ).
fof(f801,plain,
( ~ spl89_5
| ~ spl89_81 ),
inference(avatar_contradiction_clause,[],[f800]) ).
fof(f800,plain,
( $false
| ~ spl89_5
| ~ spl89_81 ),
inference(subsumption_resolution,[],[f587,f237]) ).
fof(f587,plain,
( r(sK15)
| ~ spl89_81 ),
inference(avatar_component_clause,[],[f585]) ).
fof(f799,plain,
( ~ spl89_5
| ~ spl89_72 ),
inference(avatar_contradiction_clause,[],[f798]) ).
fof(f798,plain,
( $false
| ~ spl89_5
| ~ spl89_72 ),
inference(subsumption_resolution,[],[f541,f237]) ).
fof(f541,plain,
( r(sK24)
| ~ spl89_72 ),
inference(avatar_component_clause,[],[f539]) ).
fof(f539,plain,
( spl89_72
<=> r(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_72])]) ).
fof(f797,plain,
( ~ spl89_11
| ~ spl89_35 ),
inference(avatar_contradiction_clause,[],[f796]) ).
fof(f796,plain,
( $false
| ~ spl89_11
| ~ spl89_35 ),
inference(subsumption_resolution,[],[f793,f364]) ).
fof(f793,plain,
( ! [X16] : ~ q(sK21(X16))
| ~ spl89_11
| ~ spl89_35 ),
inference(subsumption_resolution,[],[f261,f364]) ).
fof(f261,plain,
( ! [X16] :
( ~ q(sK21(X16))
| ~ q(X16) )
| ~ spl89_11 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f260,plain,
( spl89_11
<=> ! [X16] :
( ~ q(X16)
| ~ q(sK21(X16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_11])]) ).
fof(f792,plain,
( ~ spl89_5
| ~ spl89_65 ),
inference(avatar_contradiction_clause,[],[f791]) ).
fof(f791,plain,
( $false
| ~ spl89_5
| ~ spl89_65 ),
inference(subsumption_resolution,[],[f504,f237]) ).
fof(f504,plain,
( r(sK17)
| ~ spl89_65 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f502,plain,
( spl89_65
<=> r(sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_65])]) ).
fof(f784,plain,
( ~ spl89_22
| ~ spl89_71 ),
inference(avatar_contradiction_clause,[],[f783]) ).
fof(f783,plain,
( $false
| ~ spl89_22
| ~ spl89_71 ),
inference(subsumption_resolution,[],[f782,f309]) ).
fof(f782,plain,
( ! [X0] : ~ r(sK25(X0))
| ~ spl89_22
| ~ spl89_71 ),
inference(subsumption_resolution,[],[f536,f309]) ).
fof(f536,plain,
( ! [X0] :
( ~ r(sK25(X0))
| ~ r(X0) )
| ~ spl89_71 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f535,plain,
( spl89_71
<=> ! [X0] :
( ~ r(X0)
| ~ r(sK25(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_71])]) ).
fof(f781,plain,
( ~ spl89_22
| spl89_61 ),
inference(avatar_contradiction_clause,[],[f780]) ).
fof(f780,plain,
( $false
| ~ spl89_22
| spl89_61 ),
inference(subsumption_resolution,[],[f486,f309]) ).
fof(f486,plain,
( ~ r(sK11)
| spl89_61 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f484,plain,
( spl89_61
<=> r(sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_61])]) ).
fof(f779,plain,
( ~ spl89_26
| ~ spl89_45 ),
inference(avatar_contradiction_clause,[],[f778]) ).
fof(f778,plain,
( $false
| ~ spl89_26
| ~ spl89_45 ),
inference(subsumption_resolution,[],[f777,f325]) ).
fof(f777,plain,
( ! [X0] : ~ s(sK37(X0))
| ~ spl89_26
| ~ spl89_45 ),
inference(subsumption_resolution,[],[f409,f325]) ).
fof(f409,plain,
( ! [X0] :
( ~ s(sK37(X0))
| ~ s(X0) )
| ~ spl89_45 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f408,plain,
( spl89_45
<=> ! [X0] :
( ~ s(sK37(X0))
| ~ s(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_45])]) ).
fof(f775,plain,
( ~ spl89_32
| ~ spl89_101 ),
inference(avatar_contradiction_clause,[],[f774]) ).
fof(f774,plain,
( $false
| ~ spl89_32
| ~ spl89_101 ),
inference(subsumption_resolution,[],[f773,f352]) ).
fof(f773,plain,
( ! [X0] : p(X0)
| ~ spl89_32
| ~ spl89_101 ),
inference(subsumption_resolution,[],[f694,f352]) ).
fof(f694,plain,
( ! [X0] :
( p(sK49(X0))
| p(X0) )
| ~ spl89_101 ),
inference(avatar_component_clause,[],[f693]) ).
fof(f693,plain,
( spl89_101
<=> ! [X0] :
( p(sK49(X0))
| p(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_101])]) ).
fof(f770,plain,
( ~ spl89_26
| spl89_85 ),
inference(avatar_contradiction_clause,[],[f769]) ).
fof(f769,plain,
( $false
| ~ spl89_26
| spl89_85 ),
inference(subsumption_resolution,[],[f606,f325]) ).
fof(f606,plain,
( ~ s(sK14)
| spl89_85 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f604,plain,
( spl89_85
<=> s(sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_85])]) ).
fof(f768,plain,
( ~ spl89_32
| ~ spl89_82 ),
inference(avatar_contradiction_clause,[],[f767]) ).
fof(f767,plain,
( $false
| ~ spl89_32
| ~ spl89_82 ),
inference(subsumption_resolution,[],[f592,f352]) ).
fof(f592,plain,
( p(sK39)
| ~ spl89_82 ),
inference(avatar_component_clause,[],[f590]) ).
fof(f590,plain,
( spl89_82
<=> p(sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_82])]) ).
fof(f766,plain,
( ~ spl89_26
| spl89_64 ),
inference(avatar_contradiction_clause,[],[f765]) ).
fof(f765,plain,
( $false
| ~ spl89_26
| spl89_64 ),
inference(subsumption_resolution,[],[f500,f325]) ).
fof(f500,plain,
( ~ s(sK18)
| spl89_64 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f498,plain,
( spl89_64
<=> s(sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_64])]) ).
fof(f762,plain,
( ~ spl89_4
| spl89_93 ),
inference(avatar_contradiction_clause,[],[f761]) ).
fof(f761,plain,
( $false
| ~ spl89_4
| spl89_93 ),
inference(subsumption_resolution,[],[f651,f233]) ).
fof(f651,plain,
( ~ p(sK33)
| spl89_93 ),
inference(avatar_component_clause,[],[f649]) ).
fof(f649,plain,
( spl89_93
<=> p(sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_93])]) ).
fof(f758,plain,
( ~ spl89_26
| ~ spl89_41 ),
inference(avatar_contradiction_clause,[],[f757]) ).
fof(f757,plain,
( $false
| ~ spl89_26
| ~ spl89_41 ),
inference(subsumption_resolution,[],[f325,f392]) ).
fof(f754,plain,
( ~ spl89_35
| spl89_46 ),
inference(avatar_contradiction_clause,[],[f753]) ).
fof(f753,plain,
( $false
| ~ spl89_35
| spl89_46 ),
inference(subsumption_resolution,[],[f413,f364]) ).
fof(f413,plain,
( ~ q(sK38)
| spl89_46 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f411,plain,
( spl89_46
<=> q(sK38) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_46])]) ).
fof(f752,plain,
( spl89_7
| ~ spl89_35 ),
inference(avatar_contradiction_clause,[],[f751]) ).
fof(f751,plain,
( $false
| spl89_7
| ~ spl89_35 ),
inference(subsumption_resolution,[],[f246,f364]) ).
fof(f246,plain,
( ~ q(sK44)
| spl89_7 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f244,plain,
( spl89_7
<=> q(sK44) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_7])]) ).
fof(f750,plain,
( ~ spl89_22
| spl89_62 ),
inference(avatar_contradiction_clause,[],[f749]) ).
fof(f749,plain,
( $false
| ~ spl89_22
| spl89_62 ),
inference(subsumption_resolution,[],[f491,f309]) ).
fof(f491,plain,
( ~ r(sK10)
| spl89_62 ),
inference(avatar_component_clause,[],[f489]) ).
fof(f489,plain,
( spl89_62
<=> r(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_62])]) ).
fof(f748,plain,
( ~ spl89_4
| ~ spl89_97 ),
inference(avatar_contradiction_clause,[],[f747]) ).
fof(f747,plain,
( $false
| ~ spl89_4
| ~ spl89_97 ),
inference(subsumption_resolution,[],[f746,f233]) ).
fof(f746,plain,
( ! [X0] : ~ p(X0)
| ~ spl89_4
| ~ spl89_97 ),
inference(subsumption_resolution,[],[f671,f233]) ).
fof(f671,plain,
( ! [X0] :
( ~ p(sK49(X0))
| ~ p(X0) )
| ~ spl89_97 ),
inference(avatar_component_clause,[],[f670]) ).
fof(f670,plain,
( spl89_97
<=> ! [X0] :
( ~ p(sK49(X0))
| ~ p(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_97])]) ).
fof(f745,plain,
( spl89_16
| ~ spl89_22 ),
inference(avatar_contradiction_clause,[],[f744]) ).
fof(f744,plain,
( $false
| spl89_16
| ~ spl89_22 ),
inference(subsumption_resolution,[],[f282,f309]) ).
fof(f282,plain,
( ~ r(sK5)
| spl89_16 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f280,plain,
( spl89_16
<=> r(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_16])]) ).
fof(f743,plain,
( ~ spl89_12
| ~ spl89_29 ),
inference(avatar_contradiction_clause,[],[f742]) ).
fof(f742,plain,
( $false
| ~ spl89_12
| ~ spl89_29 ),
inference(subsumption_resolution,[],[f340,f265]) ).
fof(f340,plain,
( q(sK7)
| ~ spl89_29 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f338,plain,
( spl89_29
<=> q(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_29])]) ).
fof(f741,plain,
( ~ spl89_12
| ~ spl89_24 ),
inference(avatar_contradiction_clause,[],[f740]) ).
fof(f740,plain,
( $false
| ~ spl89_12
| ~ spl89_24 ),
inference(subsumption_resolution,[],[f739,f265]) ).
fof(f739,plain,
( ! [X16] : q(X16)
| ~ spl89_12
| ~ spl89_24 ),
inference(subsumption_resolution,[],[f317,f265]) ).
fof(f317,plain,
( ! [X16] :
( q(sK21(X16))
| q(X16) )
| ~ spl89_24 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f316,plain,
( spl89_24
<=> ! [X16] :
( q(X16)
| q(sK21(X16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_24])]) ).
fof(f738,plain,
( ~ spl89_4
| spl89_92 ),
inference(avatar_contradiction_clause,[],[f737]) ).
fof(f737,plain,
( $false
| ~ spl89_4
| spl89_92 ),
inference(subsumption_resolution,[],[f645,f233]) ).
fof(f645,plain,
( ~ p(sK36)
| spl89_92 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f643,plain,
( spl89_92
<=> p(sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_92])]) ).
fof(f736,plain,
( ~ spl89_41
| ~ spl89_104 ),
inference(avatar_contradiction_clause,[],[f735]) ).
fof(f735,plain,
( $false
| ~ spl89_41
| ~ spl89_104 ),
inference(subsumption_resolution,[],[f734,f392]) ).
fof(f734,plain,
( ! [X0] : s(X0)
| ~ spl89_41
| ~ spl89_104 ),
inference(subsumption_resolution,[],[f714,f392]) ).
fof(f714,plain,
( ! [X0] :
( s(X0)
| s(sK37(X0)) )
| ~ spl89_104 ),
inference(avatar_component_clause,[],[f713]) ).
fof(f713,plain,
( spl89_104
<=> ! [X0] :
( s(X0)
| s(sK37(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_104])]) ).
fof(f733,plain,
( ~ spl89_8
| ~ spl89_41 ),
inference(avatar_contradiction_clause,[],[f732]) ).
fof(f732,plain,
( $false
| ~ spl89_8
| ~ spl89_41 ),
inference(subsumption_resolution,[],[f731,f392]) ).
fof(f731,plain,
( ! [X16] : s(X16)
| ~ spl89_8
| ~ spl89_41 ),
inference(subsumption_resolution,[],[f249,f392]) ).
fof(f249,plain,
( ! [X16] :
( s(sK45(X16))
| s(X16) )
| ~ spl89_8 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f248,plain,
( spl89_8
<=> ! [X16] :
( s(X16)
| s(sK45(X16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_8])]) ).
fof(f730,plain,
( ~ spl89_12
| ~ spl89_35 ),
inference(avatar_contradiction_clause,[],[f729]) ).
fof(f729,plain,
( $false
| ~ spl89_12
| ~ spl89_35 ),
inference(subsumption_resolution,[],[f364,f265]) ).
fof(f728,plain,
( ~ spl89_4
| ~ spl89_32 ),
inference(avatar_contradiction_clause,[],[f727]) ).
fof(f727,plain,
( $false
| ~ spl89_4
| ~ spl89_32 ),
inference(subsumption_resolution,[],[f352,f233]) ).
fof(f726,plain,
( ~ spl89_26
| spl89_79 ),
inference(avatar_contradiction_clause,[],[f725]) ).
fof(f725,plain,
( $false
| ~ spl89_26
| spl89_79 ),
inference(subsumption_resolution,[],[f576,f325]) ).
fof(f576,plain,
( ~ s(sK23)
| spl89_79 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f574,plain,
( spl89_79
<=> s(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_79])]) ).
fof(f724,plain,
( spl89_21
| ~ spl89_26 ),
inference(avatar_contradiction_clause,[],[f723]) ).
fof(f723,plain,
( $false
| spl89_21
| ~ spl89_26 ),
inference(subsumption_resolution,[],[f305,f325]) ).
fof(f305,plain,
( ~ s(sK20)
| spl89_21 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f303,plain,
( spl89_21
<=> s(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_21])]) ).
fof(f722,plain,
( ~ spl89_22
| spl89_30 ),
inference(avatar_contradiction_clause,[],[f721]) ).
fof(f721,plain,
( $false
| ~ spl89_22
| spl89_30 ),
inference(subsumption_resolution,[],[f344,f309]) ).
fof(f344,plain,
( ~ r(sK8)
| spl89_30 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f342,plain,
( spl89_30
<=> r(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_30])]) ).
fof(f720,plain,
( ~ spl89_5
| ~ spl89_22 ),
inference(avatar_contradiction_clause,[],[f719]) ).
fof(f719,plain,
( $false
| ~ spl89_5
| ~ spl89_22 ),
inference(subsumption_resolution,[],[f309,f237]) ).
fof(f718,plain,
( ~ spl89_14
| spl89_74
| spl89_72
| spl89_26
| ~ spl89_103 ),
inference(avatar_split_clause,[],[f182,f707,f324,f539,f547,f272]) ).
fof(f272,plain,
( spl89_14
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl89_14])]) ).
fof(f547,plain,
( spl89_74
<=> q(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_74])]) ).
fof(f707,plain,
( spl89_103
<=> sP70 ),
introduced(avatar_definition,[new_symbols(naming,[spl89_103])]) ).
fof(f182,plain,
! [X23] :
( ~ sP70
| s(X23)
| r(sK24)
| q(sK22)
| ~ sP3 ),
inference(general_splitting,[],[f91,f181_D]) ).
fof(f181,plain,
! [X19] :
( sP70
| ~ q(X19) ),
inference(cnf_transformation,[],[f181_D]) ).
fof(f181_D,plain,
( ! [X19] : ~ q(X19)
<=> ~ sP70 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP70])]) ).
fof(f91,plain,
! [X19,X23] :
( q(sK22)
| ~ q(X19)
| r(sK24)
| s(X23)
| ~ sP3 ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( ( sP3
| ( ( ! [X0] :
( ( ~ q(X0)
| ~ q(sK13(X0)) )
& ( q(X0)
| q(sK13(X0)) ) )
| ( ( ! [X2] : ~ r(X2)
| ~ s(sK14) )
& ( r(sK15)
| ! [X5] : s(X5) ) ) )
& ( ! [X7] :
( ( q(X7)
| ~ q(sK16) )
& ( q(sK16)
| ~ q(X7) ) )
| ( ( ! [X8] : s(X8)
| ! [X9] : ~ r(X9) )
& ( r(sK17)
| ~ s(sK18) ) ) ) ) )
& ( ( ( ( ( ! [X12] : s(X12)
| ! [X13] : ~ r(X13) )
& ( r(sK19)
| ~ s(sK20) ) )
| ! [X16] :
( ( ~ q(X16)
| ~ q(sK21(X16)) )
& ( q(X16)
| q(sK21(X16)) ) ) )
& ( ! [X19] :
( ( q(X19)
| ~ q(sK22) )
& ( q(sK22)
| ~ q(X19) ) )
| ( ( ! [X20] : ~ r(X20)
| ~ s(sK23) )
& ( r(sK24)
| ! [X23] : s(X23) ) ) ) )
| ~ sP3 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16,sK17,sK18,sK19,sK20,sK21,sK22,sK23,sK24])],[f23,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24]) ).
fof(f24,plain,
! [X0] :
( ? [X1] :
( ( ~ q(X0)
| ~ q(X1) )
& ( q(X0)
| q(X1) ) )
=> ( ( ~ q(X0)
| ~ q(sK13(X0)) )
& ( q(X0)
| q(sK13(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
( ? [X3] : ~ s(X3)
=> ~ s(sK14) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
( ? [X4] : r(X4)
=> r(sK15) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
( ? [X6] :
! [X7] :
( ( q(X7)
| ~ q(X6) )
& ( q(X6)
| ~ q(X7) ) )
=> ! [X7] :
( ( q(X7)
| ~ q(sK16) )
& ( q(sK16)
| ~ q(X7) ) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
( ? [X10] : r(X10)
=> r(sK17) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
( ? [X11] : ~ s(X11)
=> ~ s(sK18) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
( ? [X14] : r(X14)
=> r(sK19) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
( ? [X15] : ~ s(X15)
=> ~ s(sK20) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
! [X16] :
( ? [X17] :
( ( ~ q(X16)
| ~ q(X17) )
& ( q(X16)
| q(X17) ) )
=> ( ( ~ q(X16)
| ~ q(sK21(X16)) )
& ( q(X16)
| q(sK21(X16)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
( ? [X18] :
! [X19] :
( ( q(X19)
| ~ q(X18) )
& ( q(X18)
| ~ q(X19) ) )
=> ! [X19] :
( ( q(X19)
| ~ q(sK22) )
& ( q(sK22)
| ~ q(X19) ) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
( ? [X21] : ~ s(X21)
=> ~ s(sK23) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
( ? [X22] : r(X22)
=> r(sK24) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
( ( sP3
| ( ( ! [X0] :
? [X1] :
( ( ~ q(X0)
| ~ q(X1) )
& ( q(X0)
| q(X1) ) )
| ( ( ! [X2] : ~ r(X2)
| ? [X3] : ~ s(X3) )
& ( ? [X4] : r(X4)
| ! [X5] : s(X5) ) ) )
& ( ? [X6] :
! [X7] :
( ( q(X7)
| ~ q(X6) )
& ( q(X6)
| ~ q(X7) ) )
| ( ( ! [X8] : s(X8)
| ! [X9] : ~ r(X9) )
& ( ? [X10] : r(X10)
| ? [X11] : ~ s(X11) ) ) ) ) )
& ( ( ( ( ( ! [X12] : s(X12)
| ! [X13] : ~ r(X13) )
& ( ? [X14] : r(X14)
| ? [X15] : ~ s(X15) ) )
| ! [X16] :
? [X17] :
( ( ~ q(X16)
| ~ q(X17) )
& ( q(X16)
| q(X17) ) ) )
& ( ? [X18] :
! [X19] :
( ( q(X19)
| ~ q(X18) )
& ( q(X18)
| ~ q(X19) ) )
| ( ( ! [X20] : ~ r(X20)
| ? [X21] : ~ s(X21) )
& ( ? [X22] : r(X22)
| ! [X23] : s(X23) ) ) ) )
| ~ sP3 ) ),
inference(rectify,[],[f22]) ).
fof(f22,plain,
( ( sP3
| ( ( ! [X14] :
? [X15] :
( ( ~ q(X14)
| ~ q(X15) )
& ( q(X14)
| q(X15) ) )
| ( ( ! [X12] : ~ r(X12)
| ? [X13] : ~ s(X13) )
& ( ? [X12] : r(X12)
| ! [X13] : s(X13) ) ) )
& ( ? [X14] :
! [X15] :
( ( q(X15)
| ~ q(X14) )
& ( q(X14)
| ~ q(X15) ) )
| ( ( ! [X13] : s(X13)
| ! [X12] : ~ r(X12) )
& ( ? [X12] : r(X12)
| ? [X13] : ~ s(X13) ) ) ) ) )
& ( ( ( ( ( ! [X13] : s(X13)
| ! [X12] : ~ r(X12) )
& ( ? [X12] : r(X12)
| ? [X13] : ~ s(X13) ) )
| ! [X14] :
? [X15] :
( ( ~ q(X14)
| ~ q(X15) )
& ( q(X14)
| q(X15) ) ) )
& ( ? [X14] :
! [X15] :
( ( q(X15)
| ~ q(X14) )
& ( q(X14)
| ~ q(X15) ) )
| ( ( ! [X12] : ~ r(X12)
| ? [X13] : ~ s(X13) )
& ( ? [X12] : r(X12)
| ! [X13] : s(X13) ) ) ) )
| ~ sP3 ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,plain,
( sP3
<=> ( ( ! [X13] : s(X13)
<=> ? [X12] : r(X12) )
<=> ? [X14] :
! [X15] :
( q(X15)
<=> q(X14) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f717,plain,
( ~ spl89_58
| spl89_104
| ~ spl89_46
| spl89_3 ),
inference(avatar_split_clause,[],[f192,f228,f411,f713,f470]) ).
fof(f470,plain,
( spl89_58
<=> sP75 ),
introduced(avatar_definition,[new_symbols(naming,[spl89_58])]) ).
fof(f228,plain,
( spl89_3
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl89_3])]) ).
fof(f192,plain,
! [X0] :
( sP0
| ~ q(sK38)
| s(sK37(X0))
| s(X0)
| ~ sP75 ),
inference(general_splitting,[],[f136,f191_D]) ).
fof(f191,plain,
! [X3] :
( ~ p(X3)
| sP75 ),
inference(cnf_transformation,[],[f191_D]) ).
fof(f191_D,plain,
( ! [X3] : ~ p(X3)
<=> ~ sP75 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP75])]) ).
fof(f136,plain,
! [X3,X0] :
( sP0
| s(X0)
| s(sK37(X0))
| ~ q(sK38)
| ~ p(X3) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
( ( sP0
| ( ( ! [X0] :
( ( ~ s(X0)
| ~ s(sK37(X0)) )
& ( s(X0)
| s(sK37(X0)) ) )
| ( ( ~ q(sK38)
| ! [X3] : ~ p(X3) )
& ( ! [X4] : q(X4)
| p(sK39) ) ) )
& ( ! [X7] :
( ( s(X7)
| ~ s(sK40) )
& ( s(sK40)
| ~ s(X7) ) )
| ( ( p(sK41)
| ~ q(sK42) )
& ( ! [X10] : q(X10)
| ! [X11] : ~ p(X11) ) ) ) ) )
& ( ( ( ( ( p(sK43)
| ~ q(sK44) )
& ( ! [X14] : q(X14)
| ! [X15] : ~ p(X15) ) )
| ! [X16] :
( ( ~ s(X16)
| ~ s(sK45(X16)) )
& ( s(X16)
| s(sK45(X16)) ) ) )
& ( ! [X19] :
( ( s(X19)
| ~ s(sK46) )
& ( s(sK46)
| ~ s(X19) ) )
| ( ( ~ q(sK47)
| ! [X21] : ~ p(X21) )
& ( ! [X22] : q(X22)
| p(sK48) ) ) ) )
| ~ sP0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK37,sK38,sK39,sK40,sK41,sK42,sK43,sK44,sK45,sK46,sK47,sK48])],[f56,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57]) ).
fof(f57,plain,
! [X0] :
( ? [X1] :
( ( ~ s(X0)
| ~ s(X1) )
& ( s(X0)
| s(X1) ) )
=> ( ( ~ s(X0)
| ~ s(sK37(X0)) )
& ( s(X0)
| s(sK37(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
( ? [X2] : ~ q(X2)
=> ~ q(sK38) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
( ? [X5] : p(X5)
=> p(sK39) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
( ? [X6] :
! [X7] :
( ( s(X7)
| ~ s(X6) )
& ( s(X6)
| ~ s(X7) ) )
=> ! [X7] :
( ( s(X7)
| ~ s(sK40) )
& ( s(sK40)
| ~ s(X7) ) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
( ? [X8] : p(X8)
=> p(sK41) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
( ? [X9] : ~ q(X9)
=> ~ q(sK42) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
( ? [X12] : p(X12)
=> p(sK43) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
( ? [X13] : ~ q(X13)
=> ~ q(sK44) ),
introduced(choice_axiom,[]) ).
fof(f65,plain,
! [X16] :
( ? [X17] :
( ( ~ s(X16)
| ~ s(X17) )
& ( s(X16)
| s(X17) ) )
=> ( ( ~ s(X16)
| ~ s(sK45(X16)) )
& ( s(X16)
| s(sK45(X16)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
( ? [X18] :
! [X19] :
( ( s(X19)
| ~ s(X18) )
& ( s(X18)
| ~ s(X19) ) )
=> ! [X19] :
( ( s(X19)
| ~ s(sK46) )
& ( s(sK46)
| ~ s(X19) ) ) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
( ? [X20] : ~ q(X20)
=> ~ q(sK47) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
( ? [X23] : p(X23)
=> p(sK48) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
( ( sP0
| ( ( ! [X0] :
? [X1] :
( ( ~ s(X0)
| ~ s(X1) )
& ( s(X0)
| s(X1) ) )
| ( ( ? [X2] : ~ q(X2)
| ! [X3] : ~ p(X3) )
& ( ! [X4] : q(X4)
| ? [X5] : p(X5) ) ) )
& ( ? [X6] :
! [X7] :
( ( s(X7)
| ~ s(X6) )
& ( s(X6)
| ~ s(X7) ) )
| ( ( ? [X8] : p(X8)
| ? [X9] : ~ q(X9) )
& ( ! [X10] : q(X10)
| ! [X11] : ~ p(X11) ) ) ) ) )
& ( ( ( ( ( ? [X12] : p(X12)
| ? [X13] : ~ q(X13) )
& ( ! [X14] : q(X14)
| ! [X15] : ~ p(X15) ) )
| ! [X16] :
? [X17] :
( ( ~ s(X16)
| ~ s(X17) )
& ( s(X16)
| s(X17) ) ) )
& ( ? [X18] :
! [X19] :
( ( s(X19)
| ~ s(X18) )
& ( s(X18)
| ~ s(X19) ) )
| ( ( ? [X20] : ~ q(X20)
| ! [X21] : ~ p(X21) )
& ( ! [X22] : q(X22)
| ? [X23] : p(X23) ) ) ) )
| ~ sP0 ) ),
inference(rectify,[],[f55]) ).
fof(f55,plain,
( ( sP0
| ( ( ! [X4] :
? [X5] :
( ( ~ s(X4)
| ~ s(X5) )
& ( s(X4)
| s(X5) ) )
| ( ( ? [X7] : ~ q(X7)
| ! [X6] : ~ p(X6) )
& ( ! [X7] : q(X7)
| ? [X6] : p(X6) ) ) )
& ( ? [X4] :
! [X5] :
( ( s(X5)
| ~ s(X4) )
& ( s(X4)
| ~ s(X5) ) )
| ( ( ? [X6] : p(X6)
| ? [X7] : ~ q(X7) )
& ( ! [X7] : q(X7)
| ! [X6] : ~ p(X6) ) ) ) ) )
& ( ( ( ( ( ? [X6] : p(X6)
| ? [X7] : ~ q(X7) )
& ( ! [X7] : q(X7)
| ! [X6] : ~ p(X6) ) )
| ! [X4] :
? [X5] :
( ( ~ s(X4)
| ~ s(X5) )
& ( s(X4)
| s(X5) ) ) )
& ( ? [X4] :
! [X5] :
( ( s(X5)
| ~ s(X4) )
& ( s(X4)
| ~ s(X5) ) )
| ( ( ? [X7] : ~ q(X7)
| ! [X6] : ~ p(X6) )
& ( ! [X7] : q(X7)
| ? [X6] : p(X6) ) ) ) )
| ~ sP0 ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f5,plain,
( sP0
<=> ( ( ? [X6] : p(X6)
<=> ! [X7] : q(X7) )
<=> ? [X4] :
! [X5] :
( s(X5)
<=> s(X4) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f716,plain,
( spl89_60
| ~ spl89_66
| ~ spl89_78
| spl89_41
| spl89_3 ),
inference(avatar_split_clause,[],[f202,f228,f391,f569,f510,f479]) ).
fof(f479,plain,
( spl89_60
<=> s(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_60])]) ).
fof(f510,plain,
( spl89_66
<=> sP80 ),
introduced(avatar_definition,[new_symbols(naming,[spl89_66])]) ).
fof(f569,plain,
( spl89_78
<=> sP79 ),
introduced(avatar_definition,[new_symbols(naming,[spl89_78])]) ).
fof(f202,plain,
! [X7] :
( sP0
| ~ s(X7)
| ~ sP79
| ~ sP80
| s(sK40) ),
inference(general_splitting,[],[f200,f201_D]) ).
fof(f201,plain,
! [X11] :
( sP80
| ~ p(X11) ),
inference(cnf_transformation,[],[f201_D]) ).
fof(f201_D,plain,
( ! [X11] : ~ p(X11)
<=> ~ sP80 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP80])]) ).
fof(f200,plain,
! [X11,X7] :
( sP0
| s(sK40)
| ~ s(X7)
| ~ p(X11)
| ~ sP79 ),
inference(general_splitting,[],[f131,f199_D]) ).
fof(f199,plain,
! [X10] :
( q(X10)
| sP79 ),
inference(cnf_transformation,[],[f199_D]) ).
fof(f199_D,plain,
( ! [X10] : q(X10)
<=> ~ sP79 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP79])]) ).
fof(f131,plain,
! [X10,X11,X7] :
( sP0
| s(sK40)
| ~ s(X7)
| q(X10)
| ~ p(X11) ),
inference(cnf_transformation,[],[f69]) ).
fof(f715,plain,
( spl89_83
| spl89_104 ),
inference(avatar_split_clause,[],[f193,f713,f594]) ).
fof(f594,plain,
( spl89_83
<=> sP76 ),
introduced(avatar_definition,[new_symbols(naming,[spl89_83])]) ).
fof(f193,plain,
! [X0] :
( s(X0)
| sP76
| s(sK37(X0)) ),
inference(cnf_transformation,[],[f193_D]) ).
fof(f193_D,plain,
( ! [X0] :
( s(X0)
| s(sK37(X0)) )
<=> ~ sP76 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP76])]) ).
fof(f711,plain,
( spl89_99
| spl89_3
| spl89_41
| ~ spl89_98
| spl89_60 ),
inference(avatar_split_clause,[],[f132,f479,f675,f391,f228,f679]) ).
fof(f132,plain,
! [X7] :
( s(sK40)
| ~ q(sK42)
| ~ s(X7)
| sP0
| p(sK41) ),
inference(cnf_transformation,[],[f69]) ).
fof(f710,plain,
( spl89_12
| spl89_103 ),
inference(avatar_split_clause,[],[f181,f707,f264]) ).
fof(f705,plain,
( ~ spl89_14
| spl89_5
| ~ spl89_67
| ~ spl89_43 ),
inference(avatar_split_clause,[],[f174,f399,f515,f236,f272]) ).
fof(f515,plain,
( spl89_67
<=> sP66 ),
introduced(avatar_definition,[new_symbols(naming,[spl89_67])]) ).
fof(f399,plain,
( spl89_43
<=> sP65 ),
introduced(avatar_definition,[new_symbols(naming,[spl89_43])]) ).
fof(f174,plain,
! [X13] :
( ~ sP65
| ~ sP66
| ~ r(X13)
| ~ sP3 ),
inference(general_splitting,[],[f172,f173_D]) ).
fof(f173,plain,
! [X12] :
( sP66
| s(X12) ),
inference(cnf_transformation,[],[f173_D]) ).
fof(f173_D,plain,
( ! [X12] : s(X12)
<=> ~ sP66 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP66])]) ).
fof(f172,plain,
! [X12,X13] :
( s(X12)
| ~ r(X13)
| ~ sP3
| ~ sP65 ),
inference(general_splitting,[],[f97,f171_D]) ).
fof(f171,plain,
! [X16] :
( sP65
| q(sK21(X16))
| q(X16) ),
inference(cnf_transformation,[],[f171_D]) ).
fof(f171_D,plain,
( ! [X16] :
( q(sK21(X16))
| q(X16) )
<=> ~ sP65 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP65])]) ).
fof(f97,plain,
! [X16,X12,X13] :
( s(X12)
| ~ r(X13)
| q(X16)
| q(sK21(X16))
| ~ sP3 ),
inference(cnf_transformation,[],[f36]) ).
fof(f704,plain,
( spl89_35
| ~ spl89_3
| spl89_102
| ~ spl89_49
| ~ spl89_76 ),
inference(avatar_split_clause,[],[f214,f557,f424,f699,f228,f363]) ).
fof(f424,plain,
( spl89_49
<=> s(sK46) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_49])]) ).
fof(f557,plain,
( spl89_76
<=> sP86 ),
introduced(avatar_definition,[new_symbols(naming,[spl89_76])]) ).
fof(f214,plain,
! [X22] :
( ~ sP86
| ~ s(sK46)
| p(sK48)
| ~ sP0
| q(X22) ),
inference(general_splitting,[],[f125,f213_D]) ).
fof(f213,plain,
! [X19] :
( s(X19)
| sP86 ),
inference(cnf_transformation,[],[f213_D]) ).
fof(f213_D,plain,
( ! [X19] : s(X19)
<=> ~ sP86 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP86])]) ).
fof(f125,plain,
! [X19,X22] :
( s(X19)
| ~ s(sK46)
| q(X22)
| p(sK48)
| ~ sP0 ),
inference(cnf_transformation,[],[f69]) ).
fof(f703,plain,
( ~ spl89_13
| ~ spl89_79
| spl89_5
| spl89_74
| ~ spl89_14 ),
inference(avatar_split_clause,[],[f180,f272,f547,f236,f574,f267]) ).
fof(f267,plain,
( spl89_13
<=> sP69 ),
introduced(avatar_definition,[new_symbols(naming,[spl89_13])]) ).
fof(f180,plain,
! [X20] :
( ~ sP3
| q(sK22)
| ~ r(X20)
| ~ s(sK23)
| ~ sP69 ),
inference(general_splitting,[],[f92,f179_D]) ).
fof(f179,plain,
! [X19] :
( sP69
| ~ q(X19) ),
inference(cnf_transformation,[],[f179_D]) ).
fof(f179_D,plain,
( ! [X19] : ~ q(X19)
<=> ~ sP69 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP69])]) ).
fof(f92,plain,
! [X19,X20] :
( q(sK22)
| ~ q(X19)
| ~ r(X20)
| ~ s(sK23)
| ~ sP3 ),
inference(cnf_transformation,[],[f36]) ).
fof(f702,plain,
( spl89_49
| ~ spl89_55
| ~ spl89_3
| spl89_35
| spl89_102 ),
inference(avatar_split_clause,[],[f218,f699,f363,f228,f455,f424]) ).
fof(f455,plain,
( spl89_55
<=> sP88 ),
introduced(avatar_definition,[new_symbols(naming,[spl89_55])]) ).
fof(f218,plain,
! [X22] :
( p(sK48)
| q(X22)
| ~ sP0
| ~ sP88
| s(sK46) ),
inference(general_splitting,[],[f123,f217_D]) ).
fof(f217,plain,
! [X19] :
( sP88
| ~ s(X19) ),
inference(cnf_transformation,[],[f217_D]) ).
fof(f217_D,plain,
( ! [X19] : ~ s(X19)
<=> ~ sP88 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP88])]) ).
fof(f123,plain,
! [X19,X22] :
( s(sK46)
| ~ s(X19)
| q(X22)
| p(sK48)
| ~ sP0 ),
inference(cnf_transformation,[],[f69]) ).
fof(f697,plain,
( spl89_80
| spl89_86 ),
inference(avatar_split_clause,[],[f153,f608,f581]) ).
fof(f581,plain,
( spl89_80
<=> sP56 ),
introduced(avatar_definition,[new_symbols(naming,[spl89_80])]) ).
fof(f153,plain,
! [X0] :
( ~ q(X0)
| sP56
| ~ q(sK13(X0)) ),
inference(cnf_transformation,[],[f153_D]) ).
fof(f153_D,plain,
( ! [X0] :
( ~ q(X0)
| ~ q(sK13(X0)) )
<=> ~ sP56 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP56])]) ).
fof(f696,plain,
( spl89_15
| ~ spl89_61
| ~ spl89_17
| spl89_12
| ~ spl89_14 ),
inference(avatar_split_clause,[],[f78,f272,f264,f284,f484,f276]) ).
fof(f276,plain,
( spl89_15
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl89_15])]) ).
fof(f284,plain,
( spl89_17
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl89_17])]) ).
fof(f78,plain,
! [X13] :
( ~ sP3
| ~ q(X13)
| ~ sP4
| ~ r(sK11)
| sP2 ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
( ( sP4
| ( ( ( ( ~ sP3
| ~ sP2 )
& ( sP3
| sP2 ) )
| ( ( ~ r(sK5)
| ! [X1] : ~ q(X1) )
& ( ! [X2] : r(X2)
| q(sK6) ) ) )
& ( ( ( sP2
| ~ sP3 )
& ( sP3
| ~ sP2 ) )
| ( ( q(sK7)
| ~ r(sK8) )
& ( ! [X6] : r(X6)
| ! [X7] : ~ q(X7) ) ) ) ) )
& ( ( ( ( ( q(sK9)
| ~ r(sK10) )
& ( ! [X10] : r(X10)
| ! [X11] : ~ q(X11) ) )
| ( ( ~ sP3
| ~ sP2 )
& ( sP3
| sP2 ) ) )
& ( ( ( sP2
| ~ sP3 )
& ( sP3
| ~ sP2 ) )
| ( ( ~ r(sK11)
| ! [X13] : ~ q(X13) )
& ( ! [X14] : r(X14)
| q(sK12) ) ) ) )
| ~ sP4 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12])],[f12,f20,f19,f18,f17,f16,f15,f14,f13]) ).
fof(f13,plain,
( ? [X0] : ~ r(X0)
=> ~ r(sK5) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
( ? [X3] : q(X3)
=> q(sK6) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
( ? [X4] : q(X4)
=> q(sK7) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
( ? [X5] : ~ r(X5)
=> ~ r(sK8) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
( ? [X8] : q(X8)
=> q(sK9) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
( ? [X9] : ~ r(X9)
=> ~ r(sK10) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
( ? [X12] : ~ r(X12)
=> ~ r(sK11) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
( ? [X15] : q(X15)
=> q(sK12) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
( ( sP4
| ( ( ( ( ~ sP3
| ~ sP2 )
& ( sP3
| sP2 ) )
| ( ( ? [X0] : ~ r(X0)
| ! [X1] : ~ q(X1) )
& ( ! [X2] : r(X2)
| ? [X3] : q(X3) ) ) )
& ( ( ( sP2
| ~ sP3 )
& ( sP3
| ~ sP2 ) )
| ( ( ? [X4] : q(X4)
| ? [X5] : ~ r(X5) )
& ( ! [X6] : r(X6)
| ! [X7] : ~ q(X7) ) ) ) ) )
& ( ( ( ( ( ? [X8] : q(X8)
| ? [X9] : ~ r(X9) )
& ( ! [X10] : r(X10)
| ! [X11] : ~ q(X11) ) )
| ( ( ~ sP3
| ~ sP2 )
& ( sP3
| sP2 ) ) )
& ( ( ( sP2
| ~ sP3 )
& ( sP3
| ~ sP2 ) )
| ( ( ? [X12] : ~ r(X12)
| ! [X13] : ~ q(X13) )
& ( ! [X14] : r(X14)
| ? [X15] : q(X15) ) ) ) )
| ~ sP4 ) ),
inference(rectify,[],[f11]) ).
fof(f11,plain,
( ( sP4
| ( ( ( ( ~ sP3
| ~ sP2 )
& ( sP3
| sP2 ) )
| ( ( ? [X2] : ~ r(X2)
| ! [X3] : ~ q(X3) )
& ( ! [X2] : r(X2)
| ? [X3] : q(X3) ) ) )
& ( ( ( sP2
| ~ sP3 )
& ( sP3
| ~ sP2 ) )
| ( ( ? [X3] : q(X3)
| ? [X2] : ~ r(X2) )
& ( ! [X2] : r(X2)
| ! [X3] : ~ q(X3) ) ) ) ) )
& ( ( ( ( ( ? [X3] : q(X3)
| ? [X2] : ~ r(X2) )
& ( ! [X2] : r(X2)
| ! [X3] : ~ q(X3) ) )
| ( ( ~ sP3
| ~ sP2 )
& ( sP3
| sP2 ) ) )
& ( ( ( sP2
| ~ sP3 )
& ( sP3
| ~ sP2 ) )
| ( ( ? [X2] : ~ r(X2)
| ! [X3] : ~ q(X3) )
& ( ! [X2] : r(X2)
| ? [X3] : q(X3) ) ) ) )
| ~ sP4 ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
( sP4
<=> ( ( ? [X3] : q(X3)
<=> ! [X2] : r(X2) )
<=> ( sP2
<=> sP3 ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f695,plain,
( spl89_101
| ~ spl89_17 ),
inference(avatar_split_clause,[],[f141,f284,f693]) ).
fof(f141,plain,
! [X0] :
( ~ sP4
| p(sK49(X0))
| p(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
( ( ! [X0] :
( ( ~ p(sK49(X0))
| ~ p(X0) )
& ( p(sK49(X0))
| p(X0) ) )
| ~ sP4 )
& ( ! [X3] :
( ( p(sK50)
| ~ p(X3) )
& ( p(X3)
| ~ p(sK50) ) )
| sP4 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK49,sK50])],[f71,f73,f72]) ).
fof(f72,plain,
! [X0] :
( ? [X1] :
( ( ~ p(X1)
| ~ p(X0) )
& ( p(X1)
| p(X0) ) )
=> ( ( ~ p(sK49(X0))
| ~ p(X0) )
& ( p(sK49(X0))
| p(X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
( ? [X2] :
! [X3] :
( ( p(X2)
| ~ p(X3) )
& ( p(X3)
| ~ p(X2) ) )
=> ! [X3] :
( ( p(sK50)
| ~ p(X3) )
& ( p(X3)
| ~ p(sK50) ) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
( ( ! [X0] :
? [X1] :
( ( ~ p(X1)
| ~ p(X0) )
& ( p(X1)
| p(X0) ) )
| ~ sP4 )
& ( ? [X2] :
! [X3] :
( ( p(X2)
| ~ p(X3) )
& ( p(X3)
| ~ p(X2) ) )
| sP4 ) ),
inference(rectify,[],[f70]) ).
fof(f70,plain,
( ( ! [X0] :
? [X1] :
( ( ~ p(X1)
| ~ p(X0) )
& ( p(X1)
| p(X0) ) )
| ~ sP4 )
& ( ? [X0] :
! [X1] :
( ( p(X0)
| ~ p(X1) )
& ( p(X1)
| ~ p(X0) ) )
| sP4 ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,plain,
( sP4
<~> ? [X0] :
! [X1] :
( p(X0)
<=> p(X1) ) ),
inference(definition_folding,[],[f4,f9,f8,f7,f6,f5]) ).
fof(f6,plain,
( sP1
<=> ( sP0
<=> ( ? [X9] : s(X9)
<=> ! [X8] : p(X8) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f7,plain,
( sP2
<=> ( sP1
<=> ? [X10] :
! [X11] :
( r(X11)
<=> r(X10) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f4,plain,
( ( ( ? [X3] : q(X3)
<=> ! [X2] : r(X2) )
<=> ( ( ( ( ( ? [X6] : p(X6)
<=> ! [X7] : q(X7) )
<=> ? [X4] :
! [X5] :
( s(X5)
<=> s(X4) ) )
<=> ( ? [X9] : s(X9)
<=> ! [X8] : p(X8) ) )
<=> ? [X10] :
! [X11] :
( r(X11)
<=> r(X10) ) )
<=> ( ( ! [X13] : s(X13)
<=> ? [X12] : r(X12) )
<=> ? [X14] :
! [X15] :
( q(X15)
<=> q(X14) ) ) ) )
<~> ? [X0] :
! [X1] :
( p(X0)
<=> p(X1) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ? [X0] :
! [X1] :
( p(X0)
<=> p(X1) )
<=> ( ( ? [X3] : q(X3)
<=> ! [X2] : r(X2) )
<=> ( ( ( ( ( ? [X6] : p(X6)
<=> ! [X7] : q(X7) )
<=> ? [X4] :
! [X5] :
( s(X5)
<=> s(X4) ) )
<=> ( ? [X9] : s(X9)
<=> ! [X8] : p(X8) ) )
<=> ? [X10] :
! [X11] :
( r(X11)
<=> r(X10) ) )
<=> ( ( ! [X13] : s(X13)
<=> ? [X12] : r(X12) )
<=> ? [X14] :
! [X15] :
( q(X15)
<=> q(X14) ) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ? [X0] :
! [X1] :
( p(X0)
<=> p(X1) )
<=> ( ( ! [X1] : r(X1)
<=> ? [X0] : q(X0) )
<=> ( ( ( ( ? [X0] :
! [X1] :
( s(X1)
<=> s(X0) )
<=> ( ? [X0] : p(X0)
<=> ! [X1] : q(X1) ) )
<=> ( ! [X1] : p(X1)
<=> ? [X0] : s(X0) ) )
<=> ? [X0] :
! [X1] :
( r(X1)
<=> r(X0) ) )
<=> ( ( ? [X0] : r(X0)
<=> ! [X1] : s(X1) )
<=> ? [X0] :
! [X1] :
( q(X1)
<=> q(X0) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ? [X0] :
! [X1] :
( p(X0)
<=> p(X1) )
<=> ( ( ! [X1] : r(X1)
<=> ? [X0] : q(X0) )
<=> ( ( ( ( ? [X0] :
! [X1] :
( s(X1)
<=> s(X0) )
<=> ( ? [X0] : p(X0)
<=> ! [X1] : q(X1) ) )
<=> ( ! [X1] : p(X1)
<=> ? [X0] : s(X0) ) )
<=> ? [X0] :
! [X1] :
( r(X1)
<=> r(X0) ) )
<=> ( ( ? [X0] : r(X0)
<=> ! [X1] : s(X1) )
<=> ? [X0] :
! [X1] :
( q(X1)
<=> q(X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm138) ).
fof(f691,plain,
( spl89_52
| spl89_14
| ~ spl89_15
| spl89_22
| ~ spl89_17 ),
inference(avatar_split_clause,[],[f75,f284,f308,f276,f272,f439]) ).
fof(f75,plain,
! [X14] :
( ~ sP4
| r(X14)
| ~ sP2
| sP3
| q(sK12) ),
inference(cnf_transformation,[],[f21]) ).
fof(f690,plain,
( spl89_5
| spl89_37 ),
inference(avatar_split_clause,[],[f161,f370,f236]) ).
fof(f370,plain,
( spl89_37
<=> sP60 ),
introduced(avatar_definition,[new_symbols(naming,[spl89_37])]) ).
fof(f161,plain,
! [X9] :
( sP60
| ~ r(X9) ),
inference(cnf_transformation,[],[f161_D]) ).
fof(f161_D,plain,
( ! [X9] : ~ r(X9)
<=> ~ sP60 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP60])]) ).
fof(f689,plain,
( spl89_48
| spl89_32 ),
inference(avatar_split_clause,[],[f211,f351,f420]) ).
fof(f420,plain,
( spl89_48
<=> sP85 ),
introduced(avatar_definition,[new_symbols(naming,[spl89_48])]) ).
fof(f211,plain,
! [X21] :
( ~ p(X21)
| sP85 ),
inference(cnf_transformation,[],[f211_D]) ).
fof(f211_D,plain,
( ! [X21] : ~ p(X21)
<=> ~ sP85 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP85])]) ).
fof(f688,plain,
( ~ spl89_14
| spl89_17
| ~ spl89_77
| spl89_12
| spl89_15 ),
inference(avatar_split_clause,[],[f144,f276,f264,f564,f284,f272]) ).
fof(f564,plain,
( spl89_77
<=> sP51 ),
introduced(avatar_definition,[new_symbols(naming,[spl89_77])]) ).
fof(f144,plain,
! [X7] :
( sP2
| ~ q(X7)
| ~ sP51
| sP4
| ~ sP3 ),
inference(general_splitting,[],[f85,f143_D]) ).
fof(f143,plain,
! [X6] :
( sP51
| r(X6) ),
inference(cnf_transformation,[],[f143_D]) ).
fof(f143_D,plain,
( ! [X6] : r(X6)
<=> ~ sP51 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP51])]) ).
fof(f85,plain,
! [X6,X7] :
( sP4
| sP2
| ~ sP3
| r(X6)
| ~ q(X7) ),
inference(cnf_transformation,[],[f21]) ).
fof(f687,plain,
( spl89_3
| spl89_100
| ~ spl89_2
| spl89_4 ),
inference(avatar_split_clause,[],[f117,f232,f224,f684,f228]) ).
fof(f224,plain,
( spl89_2
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl89_2])]) ).
fof(f117,plain,
! [X10] :
( p(X10)
| ~ sP1
| s(sK34)
| sP0 ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
( ( sP1
| ( ( ( ( ~ p(sK29)
| ! [X1] : ~ s(X1) )
& ( ! [X2] : p(X2)
| s(sK30) ) )
| ~ sP0 )
& ( ( ( s(sK31)
| ~ p(sK32) )
& ( ! [X6] : p(X6)
| ! [X7] : ~ s(X7) ) )
| sP0 ) ) )
& ( ( ( sP0
| ( ( ~ p(sK33)
| ! [X9] : ~ s(X9) )
& ( ! [X10] : p(X10)
| s(sK34) ) ) )
& ( ( ( s(sK35)
| ~ p(sK36) )
& ( ! [X14] : p(X14)
| ! [X15] : ~ s(X15) ) )
| ~ sP0 ) )
| ~ sP1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29,sK30,sK31,sK32,sK33,sK34,sK35,sK36])],[f45,f53,f52,f51,f50,f49,f48,f47,f46]) ).
fof(f46,plain,
( ? [X0] : ~ p(X0)
=> ~ p(sK29) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
( ? [X3] : s(X3)
=> s(sK30) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
( ? [X4] : s(X4)
=> s(sK31) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
( ? [X5] : ~ p(X5)
=> ~ p(sK32) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
( ? [X8] : ~ p(X8)
=> ~ p(sK33) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
( ? [X11] : s(X11)
=> s(sK34) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
( ? [X12] : s(X12)
=> s(sK35) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
( ? [X13] : ~ p(X13)
=> ~ p(sK36) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
( ( sP1
| ( ( ( ( ? [X0] : ~ p(X0)
| ! [X1] : ~ s(X1) )
& ( ! [X2] : p(X2)
| ? [X3] : s(X3) ) )
| ~ sP0 )
& ( ( ( ? [X4] : s(X4)
| ? [X5] : ~ p(X5) )
& ( ! [X6] : p(X6)
| ! [X7] : ~ s(X7) ) )
| sP0 ) ) )
& ( ( ( sP0
| ( ( ? [X8] : ~ p(X8)
| ! [X9] : ~ s(X9) )
& ( ! [X10] : p(X10)
| ? [X11] : s(X11) ) ) )
& ( ( ( ? [X12] : s(X12)
| ? [X13] : ~ p(X13) )
& ( ! [X14] : p(X14)
| ! [X15] : ~ s(X15) ) )
| ~ sP0 ) )
| ~ sP1 ) ),
inference(rectify,[],[f44]) ).
fof(f44,plain,
( ( sP1
| ( ( ( ( ? [X8] : ~ p(X8)
| ! [X9] : ~ s(X9) )
& ( ! [X8] : p(X8)
| ? [X9] : s(X9) ) )
| ~ sP0 )
& ( ( ( ? [X9] : s(X9)
| ? [X8] : ~ p(X8) )
& ( ! [X8] : p(X8)
| ! [X9] : ~ s(X9) ) )
| sP0 ) ) )
& ( ( ( sP0
| ( ( ? [X8] : ~ p(X8)
| ! [X9] : ~ s(X9) )
& ( ! [X8] : p(X8)
| ? [X9] : s(X9) ) ) )
& ( ( ( ? [X9] : s(X9)
| ? [X8] : ~ p(X8) )
& ( ! [X8] : p(X8)
| ! [X9] : ~ s(X9) ) )
| ~ sP0 ) )
| ~ sP1 ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f682,plain,
( ~ spl89_98
| spl89_26
| ~ spl89_60
| spl89_3
| spl89_99 ),
inference(avatar_split_clause,[],[f134,f679,f228,f479,f324,f675]) ).
fof(f134,plain,
! [X7] :
( p(sK41)
| sP0
| ~ s(sK40)
| s(X7)
| ~ q(sK42) ),
inference(cnf_transformation,[],[f69]) ).
fof(f673,plain,
( ~ spl89_15
| spl89_29
| spl89_17
| ~ spl89_30
| spl89_14 ),
inference(avatar_split_clause,[],[f84,f272,f342,f284,f338,f276]) ).
fof(f84,plain,
( sP3
| ~ r(sK8)
| sP4
| q(sK7)
| ~ sP2 ),
inference(cnf_transformation,[],[f21]) ).
fof(f672,plain,
( ~ spl89_17
| spl89_97 ),
inference(avatar_split_clause,[],[f142,f670,f284]) ).
fof(f142,plain,
! [X0] :
( ~ p(sK49(X0))
| ~ sP4
| ~ p(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f668,plain,
( ~ spl89_15
| spl89_96
| spl89_2 ),
inference(avatar_split_clause,[],[f109,f224,f666,f276]) ).
fof(f109,plain,
! [X4] :
( sP1
| r(X4)
| ~ sP2
| r(sK27(X4)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( ( sP2
| ( ( ! [X0] :
( ( ~ r(X0)
| ~ r(sK25(X0)) )
& ( r(X0)
| r(sK25(X0)) ) )
| ~ sP1 )
& ( ! [X3] :
( ( r(X3)
| ~ r(sK26) )
& ( r(sK26)
| ~ r(X3) ) )
| sP1 ) ) )
& ( ( ( sP1
| ! [X4] :
( ( ~ r(X4)
| ~ r(sK27(X4)) )
& ( r(X4)
| r(sK27(X4)) ) ) )
& ( ! [X7] :
( ( r(X7)
| ~ r(sK28) )
& ( r(sK28)
| ~ r(X7) ) )
| ~ sP1 ) )
| ~ sP2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25,sK26,sK27,sK28])],[f38,f42,f41,f40,f39]) ).
fof(f39,plain,
! [X0] :
( ? [X1] :
( ( ~ r(X0)
| ~ r(X1) )
& ( r(X0)
| r(X1) ) )
=> ( ( ~ r(X0)
| ~ r(sK25(X0)) )
& ( r(X0)
| r(sK25(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
( ? [X2] :
! [X3] :
( ( r(X3)
| ~ r(X2) )
& ( r(X2)
| ~ r(X3) ) )
=> ! [X3] :
( ( r(X3)
| ~ r(sK26) )
& ( r(sK26)
| ~ r(X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
! [X4] :
( ? [X5] :
( ( ~ r(X4)
| ~ r(X5) )
& ( r(X4)
| r(X5) ) )
=> ( ( ~ r(X4)
| ~ r(sK27(X4)) )
& ( r(X4)
| r(sK27(X4)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
( ? [X6] :
! [X7] :
( ( r(X7)
| ~ r(X6) )
& ( r(X6)
| ~ r(X7) ) )
=> ! [X7] :
( ( r(X7)
| ~ r(sK28) )
& ( r(sK28)
| ~ r(X7) ) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
( ( sP2
| ( ( ! [X0] :
? [X1] :
( ( ~ r(X0)
| ~ r(X1) )
& ( r(X0)
| r(X1) ) )
| ~ sP1 )
& ( ? [X2] :
! [X3] :
( ( r(X3)
| ~ r(X2) )
& ( r(X2)
| ~ r(X3) ) )
| sP1 ) ) )
& ( ( ( sP1
| ! [X4] :
? [X5] :
( ( ~ r(X4)
| ~ r(X5) )
& ( r(X4)
| r(X5) ) ) )
& ( ? [X6] :
! [X7] :
( ( r(X7)
| ~ r(X6) )
& ( r(X6)
| ~ r(X7) ) )
| ~ sP1 ) )
| ~ sP2 ) ),
inference(rectify,[],[f37]) ).
fof(f37,plain,
( ( sP2
| ( ( ! [X10] :
? [X11] :
( ( ~ r(X10)
| ~ r(X11) )
& ( r(X10)
| r(X11) ) )
| ~ sP1 )
& ( ? [X10] :
! [X11] :
( ( r(X11)
| ~ r(X10) )
& ( r(X10)
| ~ r(X11) ) )
| sP1 ) ) )
& ( ( ( sP1
| ! [X10] :
? [X11] :
( ( ~ r(X10)
| ~ r(X11) )
& ( r(X10)
| r(X11) ) ) )
& ( ? [X10] :
! [X11] :
( ( r(X11)
| ~ r(X10) )
& ( r(X10)
| ~ r(X11) ) )
| ~ sP1 ) )
| ~ sP2 ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f664,plain,
( spl89_94
| spl89_2
| spl89_3
| ~ spl89_95 ),
inference(avatar_split_clause,[],[f120,f661,f228,f224,f657]) ).
fof(f120,plain,
( ~ p(sK32)
| sP0
| sP1
| s(sK31) ),
inference(cnf_transformation,[],[f54]) ).
fof(f655,plain,
( ~ spl89_15
| ~ spl89_62
| spl89_63
| ~ spl89_14
| ~ spl89_17 ),
inference(avatar_split_clause,[],[f82,f284,f272,f493,f489,f276]) ).
fof(f82,plain,
( ~ sP4
| ~ sP3
| q(sK9)
| ~ r(sK10)
| ~ sP2 ),
inference(cnf_transformation,[],[f21]) ).
fof(f654,plain,
( spl89_9
| spl89_84
| ~ spl89_3
| ~ spl89_7 ),
inference(avatar_split_clause,[],[f130,f244,f228,f600,f251]) ).
fof(f130,plain,
! [X16] :
( ~ q(sK44)
| ~ sP0
| ~ s(sK45(X16))
| p(sK43)
| ~ s(X16) ),
inference(cnf_transformation,[],[f69]) ).
fof(f653,plain,
( spl89_22
| spl89_54 ),
inference(avatar_split_clause,[],[f149,f450,f308]) ).
fof(f450,plain,
( spl89_54
<=> sP54 ),
introduced(avatar_definition,[new_symbols(naming,[spl89_54])]) ).
fof(f149,plain,
! [X10] :
( sP54
| r(X10) ),
inference(cnf_transformation,[],[f149_D]) ).
fof(f149_D,plain,
( ! [X10] : r(X10)
<=> ~ sP54 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP54])]) ).
fof(f652,plain,
( ~ spl89_93
| ~ spl89_2
| spl89_3
| spl89_41 ),
inference(avatar_split_clause,[],[f118,f391,f228,f224,f649]) ).
fof(f118,plain,
! [X9] :
( ~ s(X9)
| sP0
| ~ sP1
| ~ p(sK33) ),
inference(cnf_transformation,[],[f54]) ).
fof(f647,plain,
( ~ spl89_50
| spl89_17
| spl89_4 ),
inference(avatar_split_clause,[],[f139,f232,f284,f429]) ).
fof(f429,plain,
( spl89_50
<=> p(sK50) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_50])]) ).
fof(f139,plain,
! [X3] :
( p(X3)
| sP4
| ~ p(sK50) ),
inference(cnf_transformation,[],[f74]) ).
fof(f646,plain,
( spl89_91
| ~ spl89_2
| ~ spl89_3
| ~ spl89_92 ),
inference(avatar_split_clause,[],[f116,f643,f228,f224,f639]) ).
fof(f116,plain,
( ~ p(sK36)
| ~ sP0
| ~ sP1
| s(sK35) ),
inference(cnf_transformation,[],[f54]) ).
fof(f637,plain,
( spl89_70
| spl89_8 ),
inference(avatar_split_clause,[],[f207,f248,f530]) ).
fof(f530,plain,
( spl89_70
<=> sP83 ),
introduced(avatar_definition,[new_symbols(naming,[spl89_70])]) ).
fof(f207,plain,
! [X16] :
( s(sK45(X16))
| s(X16)
| sP83 ),
inference(cnf_transformation,[],[f207_D]) ).
fof(f207_D,plain,
( ! [X16] :
( s(sK45(X16))
| s(X16) )
<=> ~ sP83 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP83])]) ).
fof(f636,plain,
( spl89_35
| spl89_73 ),
inference(avatar_split_clause,[],[f177,f543,f363]) ).
fof(f543,plain,
( spl89_73
<=> sP68 ),
introduced(avatar_definition,[new_symbols(naming,[spl89_73])]) ).
fof(f177,plain,
! [X19] :
( sP68
| q(X19) ),
inference(cnf_transformation,[],[f177_D]) ).
fof(f177_D,plain,
( ! [X19] : q(X19)
<=> ~ sP68 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP68])]) ).
fof(f635,plain,
( spl89_2
| spl89_90
| ~ spl89_15 ),
inference(avatar_split_clause,[],[f110,f276,f633,f224]) ).
fof(f110,plain,
! [X4] :
( ~ sP2
| ~ r(sK27(X4))
| ~ r(X4)
| sP1 ),
inference(cnf_transformation,[],[f43]) ).
fof(f631,plain,
( ~ spl89_64
| spl89_14
| ~ spl89_36
| spl89_35
| spl89_65 ),
inference(avatar_split_clause,[],[f101,f502,f363,f366,f272,f498]) ).
fof(f366,plain,
( spl89_36
<=> q(sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_36])]) ).
fof(f101,plain,
! [X7] :
( r(sK17)
| q(X7)
| ~ q(sK16)
| sP3
| ~ s(sK18) ),
inference(cnf_transformation,[],[f36]) ).
fof(f630,plain,
( spl89_32
| spl89_59 ),
inference(avatar_split_clause,[],[f197,f475,f351]) ).
fof(f475,plain,
( spl89_59
<=> sP78 ),
introduced(avatar_definition,[new_symbols(naming,[spl89_59])]) ).
fof(f197,plain,
! [X11] :
( sP78
| ~ p(X11) ),
inference(cnf_transformation,[],[f197_D]) ).
fof(f197_D,plain,
( ! [X11] : ~ p(X11)
<=> ~ sP78 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP78])]) ).
fof(f629,plain,
( spl89_35
| spl89_82
| spl89_3
| ~ spl89_68 ),
inference(avatar_split_clause,[],[f190,f520,f228,f590,f363]) ).
fof(f520,plain,
( spl89_68
<=> sP74 ),
introduced(avatar_definition,[new_symbols(naming,[spl89_68])]) ).
fof(f190,plain,
! [X4] :
( ~ sP74
| sP0
| p(sK39)
| q(X4) ),
inference(general_splitting,[],[f137,f189_D]) ).
fof(f189,plain,
! [X0] :
( ~ s(sK37(X0))
| ~ s(X0)
| sP74 ),
inference(cnf_transformation,[],[f189_D]) ).
fof(f189_D,plain,
( ! [X0] :
( ~ s(sK37(X0))
| ~ s(X0) )
<=> ~ sP74 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP74])]) ).
fof(f137,plain,
! [X0,X4] :
( sP0
| ~ s(X0)
| ~ s(sK37(X0))
| q(X4)
| p(sK39) ),
inference(cnf_transformation,[],[f69]) ).
fof(f628,plain,
( spl89_89
| ~ spl89_85
| spl89_14
| ~ spl89_18 ),
inference(avatar_split_clause,[],[f156,f289,f272,f604,f625]) ).
fof(f289,plain,
( spl89_18
<=> sP57 ),
introduced(avatar_definition,[new_symbols(naming,[spl89_18])]) ).
fof(f156,plain,
! [X0] :
( ~ sP57
| sP3
| ~ s(sK14)
| q(X0)
| q(sK13(X0)) ),
inference(general_splitting,[],[f104,f155_D]) ).
fof(f155,plain,
! [X2] :
( sP57
| ~ r(X2) ),
inference(cnf_transformation,[],[f155_D]) ).
fof(f155_D,plain,
( ! [X2] : ~ r(X2)
<=> ~ sP57 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP57])]) ).
fof(f104,plain,
! [X2,X0] :
( sP3
| q(X0)
| q(sK13(X0))
| ~ r(X2)
| ~ s(sK14) ),
inference(cnf_transformation,[],[f36]) ).
fof(f627,plain,
( spl89_89
| spl89_87 ),
inference(avatar_split_clause,[],[f157,f612,f625]) ).
fof(f612,plain,
( spl89_87
<=> sP58 ),
introduced(avatar_definition,[new_symbols(naming,[spl89_87])]) ).
fof(f157,plain,
! [X0] :
( sP58
| q(X0)
| q(sK13(X0)) ),
inference(cnf_transformation,[],[f157_D]) ).
fof(f157_D,plain,
( ! [X0] :
( q(X0)
| q(sK13(X0)) )
<=> ~ sP58 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP58])]) ).
fof(f623,plain,
( spl89_39
| spl89_35 ),
inference(avatar_split_clause,[],[f205,f363,f382]) ).
fof(f382,plain,
( spl89_39
<=> sP82 ),
introduced(avatar_definition,[new_symbols(naming,[spl89_39])]) ).
fof(f205,plain,
! [X14] :
( q(X14)
| sP82 ),
inference(cnf_transformation,[],[f205_D]) ).
fof(f205_D,plain,
( ! [X14] : q(X14)
<=> ~ sP82 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP82])]) ).
fof(f622,plain,
( ~ spl89_3
| spl89_2
| ~ spl89_88
| spl89_41 ),
inference(avatar_split_clause,[],[f122,f391,f619,f224,f228]) ).
fof(f122,plain,
! [X1] :
( ~ s(X1)
| ~ p(sK29)
| sP1
| ~ sP0 ),
inference(cnf_transformation,[],[f54]) ).
fof(f617,plain,
( ~ spl89_3
| ~ spl89_33
| ~ spl89_47
| spl89_49
| spl89_41 ),
inference(avatar_split_clause,[],[f216,f391,f424,f416,f354,f228]) ).
fof(f354,plain,
( spl89_33
<=> sP87 ),
introduced(avatar_definition,[new_symbols(naming,[spl89_33])]) ).
fof(f216,plain,
! [X19] :
( ~ s(X19)
| s(sK46)
| ~ q(sK47)
| ~ sP87
| ~ sP0 ),
inference(general_splitting,[],[f124,f215_D]) ).
fof(f215,plain,
! [X21] :
( sP87
| ~ p(X21) ),
inference(cnf_transformation,[],[f215_D]) ).
fof(f215_D,plain,
( ! [X21] : ~ p(X21)
<=> ~ sP87 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP87])]) ).
fof(f124,plain,
! [X21,X19] :
( s(sK46)
| ~ s(X19)
| ~ q(sK47)
| ~ p(X21)
| ~ sP0 ),
inference(cnf_transformation,[],[f69]) ).
fof(f616,plain,
( spl89_51
| spl89_22 ),
inference(avatar_split_clause,[],[f147,f308,f434]) ).
fof(f434,plain,
( spl89_51
<=> sP53 ),
introduced(avatar_definition,[new_symbols(naming,[spl89_51])]) ).
fof(f147,plain,
! [X10] :
( r(X10)
| sP53 ),
inference(cnf_transformation,[],[f147_D]) ).
fof(f147_D,plain,
( ! [X10] : r(X10)
<=> ~ sP53 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP53])]) ).
fof(f615,plain,
( spl89_81
| spl89_14
| ~ spl89_87
| spl89_26 ),
inference(avatar_split_clause,[],[f158,f324,f612,f272,f585]) ).
fof(f158,plain,
! [X5] :
( s(X5)
| ~ sP58
| sP3
| r(sK15) ),
inference(general_splitting,[],[f103,f157_D]) ).
fof(f103,plain,
! [X0,X5] :
( sP3
| q(X0)
| q(sK13(X0))
| r(sK15)
| s(X5) ),
inference(cnf_transformation,[],[f36]) ).
fof(f610,plain,
( spl89_14
| ~ spl89_85
| spl89_86
| ~ spl89_6 ),
inference(avatar_split_clause,[],[f152,f239,f608,f604,f272]) ).
fof(f239,plain,
( spl89_6
<=> sP55 ),
introduced(avatar_definition,[new_symbols(naming,[spl89_6])]) ).
fof(f152,plain,
! [X0] :
( ~ sP55
| ~ q(sK13(X0))
| ~ s(sK14)
| ~ q(X0)
| sP3 ),
inference(general_splitting,[],[f106,f151_D]) ).
fof(f151,plain,
! [X2] :
( sP55
| ~ r(X2) ),
inference(cnf_transformation,[],[f151_D]) ).
fof(f151_D,plain,
( ! [X2] : ~ r(X2)
<=> ~ sP55 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP55])]) ).
fof(f106,plain,
! [X2,X0] :
( sP3
| ~ q(X0)
| ~ q(sK13(X0))
| ~ r(X2)
| ~ s(sK14) ),
inference(cnf_transformation,[],[f36]) ).
fof(f602,plain,
( spl89_84
| spl89_40 ),
inference(avatar_split_clause,[],[f203,f386,f600]) ).
fof(f386,plain,
( spl89_40
<=> sP81 ),
introduced(avatar_definition,[new_symbols(naming,[spl89_40])]) ).
fof(f203,plain,
! [X16] :
( sP81
| ~ s(sK45(X16))
| ~ s(X16) ),
inference(cnf_transformation,[],[f203_D]) ).
fof(f203_D,plain,
( ! [X16] :
( ~ s(sK45(X16))
| ~ s(X16) )
<=> ~ sP81 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP81])]) ).
fof(f598,plain,
( spl89_69
| spl89_35 ),
inference(avatar_split_clause,[],[f209,f363,f526]) ).
fof(f526,plain,
( spl89_69
<=> sP84 ),
introduced(avatar_definition,[new_symbols(naming,[spl89_69])]) ).
fof(f209,plain,
! [X14] :
( q(X14)
| sP84 ),
inference(cnf_transformation,[],[f209_D]) ).
fof(f209_D,plain,
( ! [X14] : q(X14)
<=> ~ sP84 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP84])]) ).
fof(f597,plain,
( spl89_3
| spl89_82
| ~ spl89_83
| spl89_35 ),
inference(avatar_split_clause,[],[f194,f363,f594,f590,f228]) ).
fof(f194,plain,
! [X4] :
( q(X4)
| ~ sP76
| p(sK39)
| sP0 ),
inference(general_splitting,[],[f135,f193_D]) ).
fof(f135,plain,
! [X0,X4] :
( sP0
| s(X0)
| s(sK37(X0))
| q(X4)
| p(sK39) ),
inference(cnf_transformation,[],[f69]) ).
fof(f588,plain,
( spl89_26
| spl89_14
| ~ spl89_80
| spl89_81 ),
inference(avatar_split_clause,[],[f154,f585,f581,f272,f324]) ).
fof(f154,plain,
! [X5] :
( r(sK15)
| ~ sP56
| sP3
| s(X5) ),
inference(general_splitting,[],[f105,f153_D]) ).
fof(f105,plain,
! [X0,X5] :
( sP3
| ~ q(X0)
| ~ q(sK13(X0))
| r(sK15)
| s(X5) ),
inference(cnf_transformation,[],[f36]) ).
fof(f579,plain,
( spl89_26
| spl89_75 ),
inference(avatar_split_clause,[],[f163,f552,f324]) ).
fof(f552,plain,
( spl89_75
<=> sP61 ),
introduced(avatar_definition,[new_symbols(naming,[spl89_75])]) ).
fof(f163,plain,
! [X8] :
( sP61
| s(X8) ),
inference(cnf_transformation,[],[f163_D]) ).
fof(f163_D,plain,
( ! [X8] : s(X8)
<=> ~ sP61 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP61])]) ).
fof(f578,plain,
( spl89_22
| ~ spl89_2
| ~ spl89_19
| ~ spl89_15 ),
inference(avatar_split_clause,[],[f108,f276,f294,f224,f308]) ).
fof(f294,plain,
( spl89_19
<=> r(sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_19])]) ).
fof(f108,plain,
! [X7] :
( ~ sP2
| ~ r(sK28)
| ~ sP1
| r(X7) ),
inference(cnf_transformation,[],[f43]) ).
fof(f577,plain,
( ~ spl89_74
| ~ spl89_79
| spl89_5
| ~ spl89_53
| ~ spl89_14 ),
inference(avatar_split_clause,[],[f176,f272,f445,f236,f574,f547]) ).
fof(f445,plain,
( spl89_53
<=> sP67 ),
introduced(avatar_definition,[new_symbols(naming,[spl89_53])]) ).
fof(f176,plain,
! [X20] :
( ~ sP3
| ~ sP67
| ~ r(X20)
| ~ s(sK23)
| ~ q(sK22) ),
inference(general_splitting,[],[f94,f175_D]) ).
fof(f175,plain,
! [X19] :
( q(X19)
| sP67 ),
inference(cnf_transformation,[],[f175_D]) ).
fof(f175_D,plain,
( ! [X19] : q(X19)
<=> ~ sP67 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP67])]) ).
fof(f94,plain,
! [X19,X20] :
( q(X19)
| ~ q(sK22)
| ~ r(X20)
| ~ s(sK23)
| ~ sP3 ),
inference(cnf_transformation,[],[f36]) ).
fof(f572,plain,
( spl89_78
| spl89_35 ),
inference(avatar_split_clause,[],[f199,f363,f569]) ).
fof(f567,plain,
( spl89_22
| spl89_77 ),
inference(avatar_split_clause,[],[f143,f564,f308]) ).
fof(f562,plain,
( spl89_15
| ~ spl89_56
| spl89_22
| spl89_2 ),
inference(avatar_split_clause,[],[f112,f224,f308,f460,f276]) ).
fof(f460,plain,
( spl89_56
<=> r(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl89_56])]) ).
fof(f112,plain,
! [X3] :
( sP1
| r(X3)
| ~ r(sK26)
| sP2 ),
inference(cnf_transformation,[],[f43]) ).
fof(f561,plain,
( ~ spl89_15
| spl89_12
| ~ spl89_28
| spl89_14
| spl89_17 ),
inference(avatar_split_clause,[],[f146,f284,f272,f333,f264,f276]) ).
fof(f333,plain,
( spl89_28
<=> sP52 ),
introduced(avatar_definition,[new_symbols(naming,[spl89_28])]) ).
fof(f146,plain,
! [X7] :
( sP4
| sP3
| ~ sP52
| ~ q(X7)
| ~ sP2 ),
inference(general_splitting,[],[f83,f145_D]) ).
fof(f145,plain,
! [X6] :
( sP52
| r(X6) ),
inference(cnf_transformation,[],[f145_D]) ).
fof(f145_D,plain,
( ! [X6] : r(X6)
<=> ~ sP52 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP52])]) ).
fof(f83,plain,
! [X6,X7] :
( sP4
| sP3
| ~ sP2
| r(X6)
| ~ q(X7) ),
inference(cnf_transformation,[],[f21]) ).
fof(f560,plain,
( spl89_76
| spl89_26 ),
inference(avatar_split_clause,[],[f213,f324,f557]) ).
fof(f555,plain,
( spl89_14
| spl89_12
| spl89_36
| ~ spl89_75
| ~ spl89_27 ),
inference(avatar_split_clause,[],[f166,f328,f552,f366,f264,f272]) ).
fof(f328,plain,
( spl89_27
<=> sP62 ),
introduced(avatar_definition,[new_symbols(naming,[spl89_27])]) ).
fof(f166,plain,
! [X7] :
( ~ sP62
| ~ sP61
| q(sK16)
| ~ q(X7)
| sP3 ),
inference(general_splitting,[],[f164,f165_D]) ).
fof(f165,plain,
! [X9] :
( ~ r(X9)
| sP62 ),
inference(cnf_transformation,[],[f165_D]) ).
fof(f165_D,plain,
( ! [X9] : ~ r(X9)
<=> ~ sP62 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP62])]) ).
fof(f164,plain,
! [X9,X7] :
( sP3
| q(sK16)
| ~ q(X7)
| ~ r(X9)
| ~ sP61 ),
inference(general_splitting,[],[f100,f163_D]) ).
fof(f100,plain,
! [X8,X9,X7] :
( sP3
| q(sK16)
| ~ q(X7)
| s(X8)
| ~ r(X9) ),
inference(cnf_transformation,[],[f36]) ).
fof(f550,plain,
( spl89_72
| ~ spl89_73
| ~ spl89_14
| ~ spl89_74
| spl89_26 ),
inference(avatar_split_clause,[],[f178,f324,f547,f272,f543,f539]) ).
fof(f178,plain,
! [X23] :
( s(X23)
| ~ q(sK22)
| ~ sP3
| ~ sP68
| r(sK24) ),
inference(general_splitting,[],[f93,f177_D]) ).
fof(f93,plain,
! [X19,X23] :
( q(X19)
| ~ q(sK22)
| r(sK24)
| s(X23)
| ~ sP3 ),
inference(cnf_transformation,[],[f36]) ).
fof(f537,plain,
( spl89_15
| spl89_71
| ~ spl89_2 ),
inference(avatar_split_clause,[],[f114,f224,f535,f276]) ).
fof(f114,plain,
! [X0] :
( ~ sP1
| ~ r(X0)
| sP2
| ~ r(sK25(X0)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f533,plain,
( ~ spl89_3
| ~ spl89_69
| spl89_32
| ~ spl89_70 ),
inference(avatar_split_clause,[],[f210,f530,f351,f526,f228]) ).
fof(f210,plain,
! [X15] :
( ~ sP83
| ~ p(X15)
| ~ sP84
| ~ sP0 ),
inference(general_splitting,[],[f208,f209_D]) ).
fof(f208,plain,
! [X14,X15] :
( q(X14)
| ~ p(X15)
| ~ sP0
| ~ sP83 ),
inference(general_splitting,[],[f127,f207_D]) ).
fof(f127,plain,
! [X16,X14,X15] :
( q(X14)
| ~ p(X15)
| s(X16)
| s(sK45(X16))
| ~ sP0 ),
inference(cnf_transformation,[],[f69]) ).
fof(f524,plain,
( spl89_32
| spl89_44 ),
inference(avatar_split_clause,[],[f187,f404,f351]) ).
fof(f404,plain,
( spl89_44
<=> sP73 ),
introduced(avatar_definition,[new_symbols(naming,[spl89_44])]) ).
fof(f187,plain,
! [X3] :
( sP73
| ~ p(X3) ),
inference(cnf_transformation,[],[f187_D]) ).
fof(f187_D,plain,
( ! [X3] : ~ p(X3)
<=> ~ sP73 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP73])]) ).
fof(f523,plain,
( spl89_68
| spl89_45 ),
inference(avatar_split_clause,[],[f189,f408,f520]) ).
fof(f518,plain,
( spl89_26
| spl89_67 ),
inference(avatar_split_clause,[],[f173,f515,f324]) ).
fof(f513,plain,
( spl89_32
| spl89_66 ),
inference(avatar_split_clause,[],[f201,f510,f351]) ).
fof(f508,plain,
( ~ spl89_57
| spl89_3
| spl89_2
| spl89_41 ),
inference(avatar_split_clause,[],[f184,f391,f224,f228,f465]) ).
fof(f465,plain,
( spl89_57
<=> sP71 ),
introduced(avatar_definition,[new_symbols(naming,[spl89_57])]) ).
fof(f184,plain,
! [X7] :
( ~ s(X7)
| sP1
| sP0
| ~ sP71 ),
inference(general_splitting,[],[f119,f183_D]) ).
fof(f183,plain,
! [X6] :
( sP71
| p(X6) ),
inference(cnf_transformation,[],[f183_D]) ).
fof(f183_D,plain,
( ! [X6] : p(X6)
<=> ~ sP71 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP71])]) ).
fof(f119,plain,
! [X6,X7] :
( sP1
| p(X6)
| ~ s(X7)
| sP0 ),
inference(cnf_transformation,[],[f54]) ).
fof(f507,plain,
( ~ spl89_14
| ~ spl89_16
| ~ spl89_15
| spl89_17
| spl89_12 ),
inference(avatar_split_clause,[],[f90,f264,f284,f276,f280,f272]) ).
fof(f90,plain,
! [X1] :
( ~ q(X1)
| sP4
| ~ sP2
| ~ r(sK5)
| ~ sP3 ),
inference(cnf_transformation,[],[f21]) ).
fof(f506,plain,
( spl89_4
| spl89_42 ),
inference(avatar_split_clause,[],[f185,f394,f232]) ).
fof(f394,plain,
( spl89_42
<=> sP72 ),
introduced(avatar_definition,[new_symbols(naming,[spl89_42])]) ).
fof(f185,plain,
! [X14] :
( sP72
| p(X14) ),
inference(cnf_transformation,[],[f185_D]) ).
fof(f185_D,plain,
( ! [X14] : p(X14)
<=> ~ sP72 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP72])]) ).
fof(f505,plain,
( spl89_14
| spl89_36
| spl89_12
| ~ spl89_64
| spl89_65 ),
inference(avatar_split_clause,[],[f99,f502,f498,f264,f366,f272]) ).
fof(f99,plain,
! [X7] :
( r(sK17)
| ~ s(sK18)
| ~ q(X7)
| q(sK16)
| sP3 ),
inference(cnf_transformation,[],[f36]) ).
fof(f496,plain,
( ~ spl89_17
| ~ spl89_62
| spl89_14
| spl89_15
| spl89_63 ),
inference(avatar_split_clause,[],[f81,f493,f276,f272,f489,f284]) ).
fof(f81,plain,
( q(sK9)
| sP2
| sP3
| ~ r(sK10)
| ~ sP4 ),
inference(cnf_transformation,[],[f21]) ).
fof(f487,plain,
( spl89_12
| ~ spl89_15
| ~ spl89_61
| ~ spl89_17
| spl89_14 ),
inference(avatar_split_clause,[],[f76,f272,f284,f484,f276,f264]) ).
fof(f76,plain,
! [X13] :
( sP3
| ~ sP4
| ~ r(sK11)
| ~ sP2
| ~ q(X13) ),
inference(cnf_transformation,[],[f21]) ).
fof(f482,plain,
( spl89_3
| ~ spl89_59
| spl89_26
| ~ spl89_38
| ~ spl89_60 ),
inference(avatar_split_clause,[],[f198,f479,f377,f324,f475,f228]) ).
fof(f377,plain,
( spl89_38
<=> sP77 ),
introduced(avatar_definition,[new_symbols(naming,[spl89_38])]) ).
fof(f198,plain,
! [X7] :
( ~ s(sK40)
| ~ sP77
| s(X7)
| ~ sP78
| sP0 ),
inference(general_splitting,[],[f196,f197_D]) ).
fof(f196,plain,
! [X11,X7] :
( sP0
| s(X7)
| ~ s(sK40)
| ~ p(X11)
| ~ sP77 ),
inference(general_splitting,[],[f133,f195_D]) ).
fof(f195,plain,
! [X10] :
( q(X10)
| sP77 ),
inference(cnf_transformation,[],[f195_D]) ).
fof(f195_D,plain,
( ! [X10] : q(X10)
<=> ~ sP77 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP77])]) ).
fof(f133,plain,
! [X10,X11,X7] :
( sP0
| s(X7)
| ~ s(sK40)
| q(X10)
| ~ p(X11) ),
inference(cnf_transformation,[],[f69]) ).
fof(f473,plain,
( spl89_58
| spl89_32 ),
inference(avatar_split_clause,[],[f191,f351,f470]) ).
fof(f468,plain,
( spl89_4
| spl89_57 ),
inference(avatar_split_clause,[],[f183,f465,f232]) ).
fof(f463,plain,
( spl89_56
| spl89_15
| spl89_2
| spl89_5 ),
inference(avatar_split_clause,[],[f111,f236,f224,f276,f460]) ).
fof(f111,plain,
! [X3] :
( ~ r(X3)
| sP1
| sP2
| r(sK26) ),
inference(cnf_transformation,[],[f43]) ).
fof(f458,plain,
( spl89_41
| spl89_55 ),
inference(avatar_split_clause,[],[f217,f455,f391]) ).
fof(f453,plain,
( ~ spl89_54
| spl89_15
| spl89_12
| ~ spl89_17
| spl89_14 ),
inference(avatar_split_clause,[],[f150,f272,f284,f264,f276,f450]) ).
fof(f150,plain,
! [X11] :
( sP3
| ~ sP4
| ~ q(X11)
| sP2
| ~ sP54 ),
inference(general_splitting,[],[f79,f149_D]) ).
fof(f79,plain,
! [X10,X11] :
( r(X10)
| ~ q(X11)
| sP3
| sP2
| ~ sP4 ),
inference(cnf_transformation,[],[f21]) ).
fof(f448,plain,
( spl89_53
| spl89_35 ),
inference(avatar_split_clause,[],[f175,f363,f445]) ).
fof(f443,plain,
( spl89_15
| spl89_22
| spl89_14
| spl89_23
| spl89_17 ),
inference(avatar_split_clause,[],[f87,f284,f311,f272,f308,f276]) ).
fof(f87,plain,
! [X2] :
( sP4
| q(sK6)
| sP3
| r(X2)
| sP2 ),
inference(cnf_transformation,[],[f21]) ).
fof(f442,plain,
( spl89_15
| ~ spl89_17
| spl89_22
| ~ spl89_14
| spl89_52 ),
inference(avatar_split_clause,[],[f77,f439,f272,f308,f284,f276]) ).
fof(f77,plain,
! [X14] :
( q(sK12)
| ~ sP3
| r(X14)
| ~ sP4
| sP2 ),
inference(cnf_transformation,[],[f21]) ).
fof(f437,plain,
( ~ spl89_17
| ~ spl89_14
| spl89_12
| ~ spl89_51
| ~ spl89_15 ),
inference(avatar_split_clause,[],[f148,f276,f434,f264,f272,f284]) ).
fof(f148,plain,
! [X11] :
( ~ sP2
| ~ sP53
| ~ q(X11)
| ~ sP3
| ~ sP4 ),
inference(general_splitting,[],[f80,f147_D]) ).
fof(f80,plain,
! [X10,X11] :
( r(X10)
| ~ q(X11)
| ~ sP3
| ~ sP2
| ~ sP4 ),
inference(cnf_transformation,[],[f21]) ).
fof(f432,plain,
( spl89_50
| spl89_17
| spl89_32 ),
inference(avatar_split_clause,[],[f140,f351,f284,f429]) ).
fof(f140,plain,
! [X3] :
( ~ p(X3)
| sP4
| p(sK50) ),
inference(cnf_transformation,[],[f74]) ).
fof(f427,plain,
( ~ spl89_47
| ~ spl89_48
| ~ spl89_49
| spl89_26
| ~ spl89_3 ),
inference(avatar_split_clause,[],[f212,f228,f324,f424,f420,f416]) ).
fof(f212,plain,
! [X19] :
( ~ sP0
| s(X19)
| ~ s(sK46)
| ~ sP85
| ~ q(sK47) ),
inference(general_splitting,[],[f126,f211_D]) ).
fof(f126,plain,
! [X21,X19] :
( s(X19)
| ~ s(sK46)
| ~ q(sK47)
| ~ p(X21)
| ~ sP0 ),
inference(cnf_transformation,[],[f69]) ).
fof(f414,plain,
( ~ spl89_44
| spl89_45
| ~ spl89_46
| spl89_3 ),
inference(avatar_split_clause,[],[f188,f228,f411,f408,f404]) ).
fof(f188,plain,
! [X0] :
( sP0
| ~ q(sK38)
| ~ s(sK37(X0))
| ~ sP73
| ~ s(X0) ),
inference(general_splitting,[],[f138,f187_D]) ).
fof(f138,plain,
! [X3,X0] :
( sP0
| ~ s(X0)
| ~ s(sK37(X0))
| ~ q(sK38)
| ~ p(X3) ),
inference(cnf_transformation,[],[f69]) ).
fof(f402,plain,
( spl89_24
| spl89_43 ),
inference(avatar_split_clause,[],[f171,f399,f316]) ).
fof(f397,plain,
( ~ spl89_3
| ~ spl89_2
| spl89_41
| ~ spl89_42 ),
inference(avatar_split_clause,[],[f186,f394,f391,f224,f228]) ).
fof(f186,plain,
! [X15] :
( ~ sP72
| ~ s(X15)
| ~ sP1
| ~ sP0 ),
inference(general_splitting,[],[f115,f185_D]) ).
fof(f115,plain,
! [X14,X15] :
( p(X14)
| ~ s(X15)
| ~ sP0
| ~ sP1 ),
inference(cnf_transformation,[],[f54]) ).
fof(f389,plain,
( ~ spl89_39
| ~ spl89_3
| spl89_32
| ~ spl89_40 ),
inference(avatar_split_clause,[],[f206,f386,f351,f228,f382]) ).
fof(f206,plain,
! [X15] :
( ~ sP81
| ~ p(X15)
| ~ sP0
| ~ sP82 ),
inference(general_splitting,[],[f204,f205_D]) ).
fof(f204,plain,
! [X14,X15] :
( q(X14)
| ~ p(X15)
| ~ sP0
| ~ sP81 ),
inference(general_splitting,[],[f128,f203_D]) ).
fof(f128,plain,
! [X16,X14,X15] :
( q(X14)
| ~ p(X15)
| ~ s(X16)
| ~ s(sK45(X16))
| ~ sP0 ),
inference(cnf_transformation,[],[f69]) ).
fof(f380,plain,
( spl89_38
| spl89_35 ),
inference(avatar_split_clause,[],[f195,f363,f377]) ).
fof(f375,plain,
( spl89_5
| ~ spl89_14
| ~ spl89_25
| ~ spl89_10 ),
inference(avatar_split_clause,[],[f170,f256,f320,f272,f236]) ).
fof(f320,plain,
( spl89_25
<=> sP64 ),
introduced(avatar_definition,[new_symbols(naming,[spl89_25])]) ).
fof(f256,plain,
( spl89_10
<=> sP63 ),
introduced(avatar_definition,[new_symbols(naming,[spl89_10])]) ).
fof(f170,plain,
! [X13] :
( ~ sP63
| ~ sP64
| ~ sP3
| ~ r(X13) ),
inference(general_splitting,[],[f168,f169_D]) ).
fof(f169,plain,
! [X12] :
( s(X12)
| sP64 ),
inference(cnf_transformation,[],[f169_D]) ).
fof(f169_D,plain,
( ! [X12] : s(X12)
<=> ~ sP64 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP64])]) ).
fof(f168,plain,
! [X12,X13] :
( s(X12)
| ~ r(X13)
| ~ sP3
| ~ sP63 ),
inference(general_splitting,[],[f98,f167_D]) ).
fof(f167,plain,
! [X16] :
( ~ q(X16)
| ~ q(sK21(X16))
| sP63 ),
inference(cnf_transformation,[],[f167_D]) ).
fof(f167_D,plain,
( ! [X16] :
( ~ q(X16)
| ~ q(sK21(X16)) )
<=> ~ sP63 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP63])]) ).
fof(f98,plain,
! [X16,X12,X13] :
( s(X12)
| ~ r(X13)
| ~ q(X16)
| ~ q(sK21(X16))
| ~ sP3 ),
inference(cnf_transformation,[],[f36]) ).
fof(f374,plain,
( spl89_34
| spl89_26 ),
inference(avatar_split_clause,[],[f159,f324,f359]) ).
fof(f359,plain,
( spl89_34
<=> sP59 ),
introduced(avatar_definition,[new_symbols(naming,[spl89_34])]) ).
fof(f159,plain,
! [X8] :
( s(X8)
| sP59 ),
inference(cnf_transformation,[],[f159_D]) ).
fof(f159_D,plain,
( ! [X8] : s(X8)
<=> ~ sP59 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP59])]) ).
fof(f373,plain,
( spl89_14
| ~ spl89_34
| spl89_35
| ~ spl89_36
| ~ spl89_37 ),
inference(avatar_split_clause,[],[f162,f370,f366,f363,f359,f272]) ).
fof(f162,plain,
! [X7] :
( ~ sP60
| ~ q(sK16)
| q(X7)
| ~ sP59
| sP3 ),
inference(general_splitting,[],[f160,f161_D]) ).
fof(f160,plain,
! [X9,X7] :
( sP3
| q(X7)
| ~ q(sK16)
| ~ r(X9)
| ~ sP59 ),
inference(general_splitting,[],[f102,f159_D]) ).
fof(f102,plain,
! [X8,X9,X7] :
( sP3
| q(X7)
| ~ q(sK16)
| s(X8)
| ~ r(X9) ),
inference(cnf_transformation,[],[f36]) ).
fof(f357,plain,
( spl89_32
| spl89_33 ),
inference(avatar_split_clause,[],[f215,f354,f351]) ).
fof(f349,plain,
( spl89_31
| ~ spl89_2
| spl89_15 ),
inference(avatar_split_clause,[],[f113,f276,f224,f347]) ).
fof(f113,plain,
! [X0] :
( sP2
| ~ sP1
| r(X0)
| r(sK25(X0)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f345,plain,
( spl89_29
| ~ spl89_30
| spl89_17
| spl89_15
| ~ spl89_14 ),
inference(avatar_split_clause,[],[f86,f272,f276,f284,f342,f338]) ).
fof(f86,plain,
( ~ sP3
| sP2
| sP4
| ~ r(sK8)
| q(sK7) ),
inference(cnf_transformation,[],[f21]) ).
fof(f336,plain,
( spl89_22
| spl89_28 ),
inference(avatar_split_clause,[],[f145,f333,f308]) ).
fof(f331,plain,
( spl89_27
| spl89_5 ),
inference(avatar_split_clause,[],[f165,f236,f328]) ).
fof(f326,plain,
( spl89_25
| spl89_26 ),
inference(avatar_split_clause,[],[f169,f324,f320]) ).
fof(f318,plain,
( ~ spl89_14
| ~ spl89_21
| spl89_24
| spl89_20 ),
inference(avatar_split_clause,[],[f95,f299,f316,f303,f272]) ).
fof(f95,plain,
! [X16] :
( r(sK19)
| q(X16)
| q(sK21(X16))
| ~ s(sK20)
| ~ sP3 ),
inference(cnf_transformation,[],[f36]) ).
fof(f314,plain,
( ~ spl89_15
| ~ spl89_14
| spl89_22
| spl89_17
| spl89_23 ),
inference(avatar_split_clause,[],[f89,f311,f284,f308,f272,f276]) ).
fof(f89,plain,
! [X2] :
( q(sK6)
| sP4
| r(X2)
| ~ sP3
| ~ sP2 ),
inference(cnf_transformation,[],[f21]) ).
fof(f306,plain,
( spl89_20
| spl89_11
| ~ spl89_14
| ~ spl89_21 ),
inference(avatar_split_clause,[],[f96,f303,f272,f260,f299]) ).
fof(f96,plain,
! [X16] :
( ~ s(sK20)
| ~ sP3
| ~ q(sK21(X16))
| r(sK19)
| ~ q(X16) ),
inference(cnf_transformation,[],[f36]) ).
fof(f297,plain,
( spl89_19
| ~ spl89_15
| spl89_5
| ~ spl89_2 ),
inference(avatar_split_clause,[],[f107,f224,f236,f276,f294]) ).
fof(f107,plain,
! [X7] :
( ~ sP1
| ~ r(X7)
| ~ sP2
| r(sK28) ),
inference(cnf_transformation,[],[f43]) ).
fof(f292,plain,
( spl89_5
| spl89_18 ),
inference(avatar_split_clause,[],[f155,f289,f236]) ).
fof(f287,plain,
( spl89_14
| spl89_12
| spl89_15
| ~ spl89_16
| spl89_17 ),
inference(avatar_split_clause,[],[f88,f284,f280,f276,f264,f272]) ).
fof(f88,plain,
! [X1] :
( sP4
| ~ r(sK5)
| sP2
| ~ q(X1)
| sP3 ),
inference(cnf_transformation,[],[f21]) ).
fof(f270,plain,
( spl89_12
| spl89_13 ),
inference(avatar_split_clause,[],[f179,f267,f264]) ).
fof(f262,plain,
( spl89_10
| spl89_11 ),
inference(avatar_split_clause,[],[f167,f260,f256]) ).
fof(f254,plain,
( ~ spl89_7
| spl89_8
| ~ spl89_3
| spl89_9 ),
inference(avatar_split_clause,[],[f129,f251,f228,f248,f244]) ).
fof(f129,plain,
! [X16] :
( p(sK43)
| ~ sP0
| s(X16)
| ~ q(sK44)
| s(sK45(X16)) ),
inference(cnf_transformation,[],[f69]) ).
fof(f242,plain,
( spl89_5
| spl89_6 ),
inference(avatar_split_clause,[],[f151,f239,f236]) ).
fof(f234,plain,
( spl89_1
| spl89_2
| ~ spl89_3
| spl89_4 ),
inference(avatar_split_clause,[],[f121,f232,f228,f224,f220]) ).
fof(f121,plain,
! [X2] :
( p(X2)
| ~ sP0
| sP1
| s(sK30) ),
inference(cnf_transformation,[],[f54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYN723+1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.32 % Computer : n006.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Aug 30 22:16:54 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.17/0.44 % (28462)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.17/0.48 % (28486)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.17/0.49 % (28462)First to succeed.
% 0.17/0.50 % (28458)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.17/0.51 % (28481)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.17/0.51 % (28477)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/176Mi)
% 0.17/0.51 % (28472)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.17/0.52 % (28469)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.17/0.52 % (28464)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.17/0.52 % (28486)Also succeeded, but the first one will report.
% 0.17/0.52 % (28462)Refutation found. Thanks to Tanya!
% 0.17/0.52 % SZS status Theorem for theBenchmark
% 0.17/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 1.53/0.53 % (28462)------------------------------
% 1.53/0.53 % (28462)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.53 % (28462)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.53 % (28462)Termination reason: Refutation
% 1.53/0.53
% 1.53/0.53 % (28462)Memory used [KB]: 6012
% 1.53/0.53 % (28462)Time elapsed: 0.123 s
% 1.53/0.53 % (28462)Instructions burned: 15 (million)
% 1.53/0.53 % (28462)------------------------------
% 1.53/0.53 % (28462)------------------------------
% 1.53/0.53 % (28456)Success in time 0.2 s
%------------------------------------------------------------------------------