TSTP Solution File: LCL660+1.005 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL660+1.005 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n016.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 : Tue May 21 00:32:09 EDT 2024
% Result : Theorem 0.20s 0.48s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 107
% Syntax : Number of formulae : 535 ( 3 unt; 0 def)
% Number of atoms : 4022 ( 0 equ)
% Maximal formula atoms : 204 ( 7 avg)
% Number of connectives : 5843 (2356 ~;2744 |; 660 &)
% ( 53 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 35 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 82 ( 81 usr; 54 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 7 con; 0-1 aty)
% Number of variables : 1247 ( 983 !; 264 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7112,plain,
$false,
inference(avatar_sat_refutation,[],[f328,f333,f338,f346,f350,f358,f363,f368,f495,f500,f606,f966,f971,f977,f1099,f1142,f1425,f1428,f1808,f2086,f2161,f2576,f2900,f3105,f3400,f3459,f3489,f3508,f3514,f3903,f3935,f4266,f4346,f4426,f4907,f5117,f5169,f5173,f5307,f5309,f5329,f5334,f5415,f5420,f5616,f5699,f5917,f5973,f5977,f6018,f6020,f6577,f6641,f6653,f6654,f6874,f7111]) ).
fof(f7111,plain,
( ~ spl68_16
| ~ spl68_21
| spl68_40
| ~ spl68_782 ),
inference(avatar_contradiction_clause,[],[f7110]) ).
fof(f7110,plain,
( $false
| ~ spl68_16
| ~ spl68_21
| spl68_40
| ~ spl68_782 ),
inference(subsumption_resolution,[],[f7109,f337]) ).
fof(f337,plain,
( r1(sK55,sK59)
| ~ spl68_16 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f335,plain,
( spl68_16
<=> r1(sK55,sK59) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_16])]) ).
fof(f7109,plain,
( ~ r1(sK55,sK59)
| ~ spl68_21
| spl68_40
| ~ spl68_782 ),
inference(resolution,[],[f6908,f357]) ).
fof(f357,plain,
( sP0(sK55)
| ~ spl68_21 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f355,plain,
( spl68_21
<=> sP0(sK55) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_21])]) ).
fof(f6908,plain,
( ! [X0] :
( ~ sP0(X0)
| ~ r1(X0,sK59) )
| spl68_40
| ~ spl68_782 ),
inference(subsumption_resolution,[],[f6907,f490]) ).
fof(f490,plain,
( ~ p2(sK59)
| spl68_40 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f488,plain,
( spl68_40
<=> p2(sK59) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_40])]) ).
fof(f6907,plain,
( ! [X0] :
( p2(sK59)
| ~ r1(X0,sK59)
| ~ sP0(X0) )
| ~ spl68_782 ),
inference(resolution,[],[f6818,f233]) ).
fof(f233,plain,
! [X0,X1] :
( ~ p2(sK54(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ! [X1] :
( ( p2(sK53(X1))
& ~ p2(sK54(X1))
& r1(sK53(X1),sK54(X1))
& r1(X1,sK53(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK53,sK54])],[f125,f127,f126]) ).
fof(f126,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK53(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK53(X1),X3) )
& r1(X1,sK53(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f127,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK53(X1),X3) )
=> ( ~ p2(sK54(X1))
& r1(sK53(X1),sK54(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP0(X0) ),
inference(rectify,[],[f124]) ).
fof(f124,plain,
! [X0] :
( ! [X86] :
( ? [X87] :
( p2(X87)
& ? [X88] :
( ~ p2(X88)
& r1(X87,X88) )
& r1(X86,X87) )
| p2(X86)
| ~ r1(X0,X86) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0] :
( ! [X86] :
( ? [X87] :
( p2(X87)
& ? [X88] :
( ~ p2(X88)
& r1(X87,X88) )
& r1(X86,X87) )
| p2(X86)
| ~ r1(X0,X86) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f6818,plain,
( p2(sK54(sK59))
| ~ spl68_782 ),
inference(avatar_component_clause,[],[f6816]) ).
fof(f6816,plain,
( spl68_782
<=> p2(sK54(sK59)) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_782])]) ).
fof(f6874,plain,
( spl68_782
| ~ spl68_16
| ~ spl68_21
| spl68_40
| ~ spl68_68
| ~ spl68_89
| ~ spl68_767 ),
inference(avatar_split_clause,[],[f6792,f6650,f852,f726,f488,f355,f335,f6816]) ).
fof(f726,plain,
( spl68_68
<=> ! [X0,X1] :
( p2(X0)
| ~ p2(X1)
| ~ r1(sK59,X1)
| ~ r1(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_68])]) ).
fof(f852,plain,
( spl68_89
<=> p2(sK53(sK59)) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_89])]) ).
fof(f6650,plain,
( spl68_767
<=> r1(sK59,sK53(sK59)) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_767])]) ).
fof(f6792,plain,
( p2(sK54(sK59))
| ~ spl68_16
| ~ spl68_21
| spl68_40
| ~ spl68_68
| ~ spl68_89
| ~ spl68_767 ),
inference(subsumption_resolution,[],[f6791,f490]) ).
fof(f6791,plain,
( p2(sK54(sK59))
| p2(sK59)
| ~ spl68_16
| ~ spl68_21
| ~ spl68_68
| ~ spl68_89
| ~ spl68_767 ),
inference(subsumption_resolution,[],[f6784,f337]) ).
fof(f6784,plain,
( p2(sK54(sK59))
| ~ r1(sK55,sK59)
| p2(sK59)
| ~ spl68_21
| ~ spl68_68
| ~ spl68_89
| ~ spl68_767 ),
inference(resolution,[],[f6737,f5421]) ).
fof(f5421,plain,
( ! [X0] :
( r1(sK53(X0),sK54(X0))
| ~ r1(sK55,X0)
| p2(X0) )
| ~ spl68_21 ),
inference(resolution,[],[f357,f232]) ).
fof(f232,plain,
! [X0,X1] :
( ~ sP0(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(sK53(X1),sK54(X1)) ),
inference(cnf_transformation,[],[f128]) ).
fof(f6737,plain,
( ! [X0] :
( ~ r1(sK53(sK59),X0)
| p2(X0) )
| ~ spl68_68
| ~ spl68_89
| ~ spl68_767 ),
inference(subsumption_resolution,[],[f6727,f853]) ).
fof(f853,plain,
( p2(sK53(sK59))
| ~ spl68_89 ),
inference(avatar_component_clause,[],[f852]) ).
fof(f6727,plain,
( ! [X0] :
( ~ p2(sK53(sK59))
| p2(X0)
| ~ r1(sK53(sK59),X0) )
| ~ spl68_68
| ~ spl68_767 ),
inference(resolution,[],[f6652,f727]) ).
fof(f727,plain,
( ! [X0,X1] :
( ~ r1(sK59,X1)
| ~ p2(X1)
| p2(X0)
| ~ r1(X1,X0) )
| ~ spl68_68 ),
inference(avatar_component_clause,[],[f726]) ).
fof(f6652,plain,
( r1(sK59,sK53(sK59))
| ~ spl68_767 ),
inference(avatar_component_clause,[],[f6650]) ).
fof(f6654,plain,
( spl68_89
| spl68_40
| ~ spl68_16
| ~ spl68_21 ),
inference(avatar_split_clause,[],[f6648,f355,f335,f488,f852]) ).
fof(f6648,plain,
( p2(sK59)
| p2(sK53(sK59))
| ~ spl68_16
| ~ spl68_21 ),
inference(resolution,[],[f337,f5423]) ).
fof(f5423,plain,
( ! [X0] :
( ~ r1(sK55,X0)
| p2(X0)
| p2(sK53(X0)) )
| ~ spl68_21 ),
inference(resolution,[],[f357,f234]) ).
fof(f234,plain,
! [X0,X1] :
( ~ sP0(X0)
| p2(X1)
| ~ r1(X0,X1)
| p2(sK53(X1)) ),
inference(cnf_transformation,[],[f128]) ).
fof(f6653,plain,
( spl68_767
| spl68_40
| ~ spl68_16
| ~ spl68_21 ),
inference(avatar_split_clause,[],[f6647,f355,f335,f488,f6650]) ).
fof(f6647,plain,
( p2(sK59)
| r1(sK59,sK53(sK59))
| ~ spl68_16
| ~ spl68_21 ),
inference(resolution,[],[f337,f5422]) ).
fof(f5422,plain,
( ! [X0] :
( ~ r1(sK55,X0)
| p2(X0)
| r1(X0,sK53(X0)) )
| ~ spl68_21 ),
inference(resolution,[],[f357,f231]) ).
fof(f231,plain,
! [X0,X1] :
( ~ sP0(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(X1,sK53(X1)) ),
inference(cnf_transformation,[],[f128]) ).
fof(f6641,plain,
( spl68_68
| ~ spl68_15
| spl68_41 ),
inference(avatar_split_clause,[],[f6640,f492,f330,f726]) ).
fof(f330,plain,
( spl68_15
<=> sP12(sK59) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_15])]) ).
fof(f492,plain,
( spl68_41
<=> sP6(sK59) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_41])]) ).
fof(f6640,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(X1,X0)
| ~ r1(sK59,X1)
| ~ p2(X1) )
| ~ spl68_15
| spl68_41 ),
inference(subsumption_resolution,[],[f6636,f493]) ).
fof(f493,plain,
( ~ sP6(sK59)
| spl68_41 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f6636,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(X1,X0)
| ~ r1(sK59,X1)
| sP6(sK59)
| ~ p2(X1) )
| ~ spl68_15 ),
inference(resolution,[],[f332,f187]) ).
fof(f187,plain,
! [X2,X0,X1] :
( ~ sP12(X0)
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| sP6(X0)
| ~ p2(X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] :
( ( ! [X1] :
( ~ p2(X1)
| ! [X2] :
( p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
& ~ p2(X0) )
| ( sP6(X0)
& sP5(X0) )
| ~ sP12(X0) ),
inference(rectify,[],[f69]) ).
fof(f69,plain,
! [X33] :
( ( ! [X54] :
( ~ p2(X54)
| ! [X55] :
( p2(X55)
| ~ r1(X54,X55) )
| ~ r1(X33,X54) )
& ~ p2(X33) )
| ( sP6(X33)
& sP5(X33) )
| ~ sP12(X33) ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X33] :
( ( ! [X54] :
( ~ p2(X54)
| ! [X55] :
( p2(X55)
| ~ r1(X54,X55) )
| ~ r1(X33,X54) )
& ~ p2(X33) )
| ( sP6(X33)
& sP5(X33) )
| ~ sP12(X33) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f332,plain,
( sP12(sK59)
| ~ spl68_15 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f6577,plain,
( ~ spl68_23
| ~ spl68_39
| spl68_650
| ~ spl68_679
| ~ spl68_681 ),
inference(avatar_contradiction_clause,[],[f6576]) ).
fof(f6576,plain,
( $false
| ~ spl68_23
| ~ spl68_39
| spl68_650
| ~ spl68_679
| ~ spl68_681 ),
inference(subsumption_resolution,[],[f6571,f367]) ).
fof(f367,plain,
( r1(sK55,sK67)
| ~ spl68_23 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f365,plain,
( spl68_23
<=> r1(sK55,sK67) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_23])]) ).
fof(f6571,plain,
( ~ r1(sK55,sK67)
| ~ spl68_39
| spl68_650
| ~ spl68_679
| ~ spl68_681 ),
inference(resolution,[],[f6551,f5915]) ).
fof(f5915,plain,
( r1(sK67,sK56(sK67))
| ~ spl68_681 ),
inference(avatar_component_clause,[],[f5914]) ).
fof(f5914,plain,
( spl68_681
<=> r1(sK67,sK56(sK67)) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_681])]) ).
fof(f6551,plain,
( ! [X0] :
( ~ r1(X0,sK56(sK67))
| ~ r1(sK55,X0) )
| ~ spl68_39
| spl68_650
| ~ spl68_679 ),
inference(resolution,[],[f5979,f483]) ).
fof(f483,plain,
( sP3(sK55)
| ~ spl68_39 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f481,plain,
( spl68_39
<=> sP3(sK55) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_39])]) ).
fof(f5979,plain,
( ! [X0,X1] :
( ~ sP3(X1)
| ~ r1(X1,X0)
| ~ r1(X0,sK56(sK67)) )
| spl68_650
| ~ spl68_679 ),
inference(subsumption_resolution,[],[f5978,f5614]) ).
fof(f5614,plain,
( ~ p2(sK56(sK67))
| spl68_650 ),
inference(avatar_component_clause,[],[f5613]) ).
fof(f5613,plain,
( spl68_650
<=> p2(sK56(sK67)) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_650])]) ).
fof(f5978,plain,
( ! [X0,X1] :
( p2(sK56(sK67))
| ~ r1(X0,sK56(sK67))
| ~ r1(X1,X0)
| ~ sP3(X1) )
| ~ spl68_679 ),
inference(resolution,[],[f5906,f222]) ).
fof(f222,plain,
! [X2,X0,X1] :
( ~ p2(sK49(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( p2(sK48(X2))
& ~ p2(sK49(X2))
& r1(sK48(X2),sK49(X2))
& r1(X2,sK48(X2)) )
| p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK48,sK49])],[f111,f113,f112]) ).
fof(f112,plain,
! [X2] :
( ? [X3] :
( p2(X3)
& ? [X4] :
( ~ p2(X4)
& r1(X3,X4) )
& r1(X2,X3) )
=> ( p2(sK48(X2))
& ? [X4] :
( ~ p2(X4)
& r1(sK48(X2),X4) )
& r1(X2,sK48(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f113,plain,
! [X2] :
( ? [X4] :
( ~ p2(X4)
& r1(sK48(X2),X4) )
=> ( ~ p2(sK49(X2))
& r1(sK48(X2),sK49(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f111,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] :
( p2(X3)
& ? [X4] :
( ~ p2(X4)
& r1(X3,X4) )
& r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP3(X0) ),
inference(rectify,[],[f110]) ).
fof(f110,plain,
! [X0] :
( ! [X68] :
( ! [X69] :
( ? [X70] :
( p2(X70)
& ? [X71] :
( ~ p2(X71)
& r1(X70,X71) )
& r1(X69,X70) )
| p2(X69)
| ~ r1(X68,X69) )
| ~ r1(X0,X68) )
| ~ sP3(X0) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0] :
( ! [X68] :
( ! [X69] :
( ? [X70] :
( p2(X70)
& ? [X71] :
( ~ p2(X71)
& r1(X70,X71) )
& r1(X69,X70) )
| p2(X69)
| ~ r1(X68,X69) )
| ~ r1(X0,X68) )
| ~ sP3(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f5906,plain,
( p2(sK49(sK56(sK67)))
| ~ spl68_679 ),
inference(avatar_component_clause,[],[f5904]) ).
fof(f5904,plain,
( spl68_679
<=> p2(sK49(sK56(sK67))) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_679])]) ).
fof(f6020,plain,
( spl68_57
| spl68_139
| ~ spl68_39
| ~ spl68_138
| spl68_290 ),
inference(avatar_split_clause,[],[f6019,f2481,f1279,f481,f1283,f597]) ).
fof(f597,plain,
( spl68_57
<=> p2(sK50(sK55)) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_57])]) ).
fof(f1283,plain,
( spl68_139
<=> p2(sK48(sK56(sK50(sK55)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_139])]) ).
fof(f1279,plain,
( spl68_138
<=> r1(sK55,sK50(sK55)) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_138])]) ).
fof(f2481,plain,
( spl68_290
<=> p2(sK56(sK50(sK55))) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_290])]) ).
fof(f6019,plain,
( p2(sK48(sK56(sK50(sK55))))
| p2(sK50(sK55))
| ~ spl68_39
| ~ spl68_138
| spl68_290 ),
inference(subsumption_resolution,[],[f5999,f1280]) ).
fof(f1280,plain,
( r1(sK55,sK50(sK55))
| ~ spl68_138 ),
inference(avatar_component_clause,[],[f1279]) ).
fof(f5999,plain,
( p2(sK48(sK56(sK50(sK55))))
| p2(sK50(sK55))
| ~ r1(sK55,sK50(sK55))
| ~ spl68_39
| ~ spl68_138
| spl68_290 ),
inference(subsumption_resolution,[],[f5966,f2482]) ).
fof(f2482,plain,
( ~ p2(sK56(sK50(sK55)))
| spl68_290 ),
inference(avatar_component_clause,[],[f2481]) ).
fof(f5966,plain,
( p2(sK56(sK50(sK55)))
| p2(sK48(sK56(sK50(sK55))))
| p2(sK50(sK55))
| ~ r1(sK55,sK50(sK55))
| ~ spl68_39
| ~ spl68_138 ),
inference(resolution,[],[f5472,f262]) ).
fof(f262,plain,
! [X1] :
( r1(X1,sK56(X1))
| p2(X1)
| ~ r1(sK55,X1) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
( ! [X1] :
( ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK56(X1),X3) )
& ~ p2(sK56(X1))
& r1(X1,sK56(X1)) )
| p2(X1)
| ~ r1(sK55,X1) )
& ( ( sP21(sK57)
& r1(sK57,sK58)
& ~ p1(sK57)
& r1(sK55,sK57) )
| ! [X7] : ~ r1(sK55,X7)
| p1(sK55) )
& ( sP20(sK55)
| ! [X8] : ~ r1(sK55,X8)
| p1(sK55)
| p2(sK55) )
& ( sP18(sK55)
| ! [X9] : ~ r1(sK55,X9)
| p1(sK55)
| p2(sK55)
| p3(sK55) )
& ( sP16(sK55)
| ! [X10] : ~ r1(sK55,X10)
| p1(sK55)
| p2(sK55)
| p3(sK55)
| p4(sK55) )
& ( ( sP13(sK59)
& sP12(sK59)
& r1(sK55,sK59) )
| sP14(sK55) )
& ! [X12] :
( ( p1(sK60(X12))
& ~ p1(sK61(X12))
& r1(sK60(X12),sK61(X12))
& r1(X12,sK60(X12)) )
| p1(X12)
| ~ r1(sK55,X12) )
& ~ p1(sK62)
& r1(sK55,sK62)
& ( sP2(sK55)
| ! [X16] :
( ( p5(sK63(X16))
& r1(X16,sK63(X16)) )
| ~ r1(sK55,X16) ) )
& ! [X18] :
( ( p3(sK64(X18))
& ~ p3(sK65(X18))
& r1(sK64(X18),sK65(X18))
& r1(X18,sK64(X18)) )
| p3(X18)
| ~ r1(sK55,X18) )
& ~ p3(sK66)
& r1(sK55,sK66)
& ( ( sP0(sK55)
& ~ p2(sK67)
& r1(sK55,sK67) )
| ! [X23] :
( ~ p5(X23)
| ~ r1(sK55,X23) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK55,sK56,sK57,sK58,sK59,sK60,sK61,sK62,sK63,sK64,sK65,sK66,sK67])],[f129,f142,f141,f140,f139,f138,f137,f136,f135,f134,f133,f132,f131,f130]) ).
fof(f130,plain,
( ? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( sP21(X5)
& ? [X6] : r1(X5,X6)
& ~ p1(X5)
& r1(X0,X5) )
| ! [X7] : ~ r1(X0,X7)
| p1(X0) )
& ( sP20(X0)
| ! [X8] : ~ r1(X0,X8)
| p1(X0)
| p2(X0) )
& ( sP18(X0)
| ! [X9] : ~ r1(X0,X9)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( sP16(X0)
| ! [X10] : ~ r1(X0,X10)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X11] :
( sP13(X11)
& sP12(X11)
& r1(X0,X11) )
| sP14(X0) )
& ! [X12] :
( ? [X13] :
( p1(X13)
& ? [X14] :
( ~ p1(X14)
& r1(X13,X14) )
& r1(X12,X13) )
| p1(X12)
| ~ r1(X0,X12) )
& ? [X15] :
( ~ p1(X15)
& r1(X0,X15) )
& ( sP2(X0)
| ! [X16] :
( ? [X17] :
( p5(X17)
& r1(X16,X17) )
| ~ r1(X0,X16) ) )
& ! [X18] :
( ? [X19] :
( p3(X19)
& ? [X20] :
( ~ p3(X20)
& r1(X19,X20) )
& r1(X18,X19) )
| p3(X18)
| ~ r1(X0,X18) )
& ? [X21] :
( ~ p3(X21)
& r1(X0,X21) )
& ( ( sP0(X0)
& ? [X22] :
( ~ p2(X22)
& r1(X0,X22) ) )
| ! [X23] :
( ~ p5(X23)
| ~ r1(X0,X23) ) ) )
=> ( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(sK55,X1) )
& ( ? [X5] :
( sP21(X5)
& ? [X6] : r1(X5,X6)
& ~ p1(X5)
& r1(sK55,X5) )
| ! [X7] : ~ r1(sK55,X7)
| p1(sK55) )
& ( sP20(sK55)
| ! [X8] : ~ r1(sK55,X8)
| p1(sK55)
| p2(sK55) )
& ( sP18(sK55)
| ! [X9] : ~ r1(sK55,X9)
| p1(sK55)
| p2(sK55)
| p3(sK55) )
& ( sP16(sK55)
| ! [X10] : ~ r1(sK55,X10)
| p1(sK55)
| p2(sK55)
| p3(sK55)
| p4(sK55) )
& ( ? [X11] :
( sP13(X11)
& sP12(X11)
& r1(sK55,X11) )
| sP14(sK55) )
& ! [X12] :
( ? [X13] :
( p1(X13)
& ? [X14] :
( ~ p1(X14)
& r1(X13,X14) )
& r1(X12,X13) )
| p1(X12)
| ~ r1(sK55,X12) )
& ? [X15] :
( ~ p1(X15)
& r1(sK55,X15) )
& ( sP2(sK55)
| ! [X16] :
( ? [X17] :
( p5(X17)
& r1(X16,X17) )
| ~ r1(sK55,X16) ) )
& ! [X18] :
( ? [X19] :
( p3(X19)
& ? [X20] :
( ~ p3(X20)
& r1(X19,X20) )
& r1(X18,X19) )
| p3(X18)
| ~ r1(sK55,X18) )
& ? [X21] :
( ~ p3(X21)
& r1(sK55,X21) )
& ( ( sP0(sK55)
& ? [X22] :
( ~ p2(X22)
& r1(sK55,X22) ) )
| ! [X23] :
( ~ p5(X23)
| ~ r1(sK55,X23) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f131,plain,
! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
=> ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK56(X1),X3) )
& ~ p2(sK56(X1))
& r1(X1,sK56(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f132,plain,
( ? [X5] :
( sP21(X5)
& ? [X6] : r1(X5,X6)
& ~ p1(X5)
& r1(sK55,X5) )
=> ( sP21(sK57)
& ? [X6] : r1(sK57,X6)
& ~ p1(sK57)
& r1(sK55,sK57) ) ),
introduced(choice_axiom,[]) ).
fof(f133,plain,
( ? [X6] : r1(sK57,X6)
=> r1(sK57,sK58) ),
introduced(choice_axiom,[]) ).
fof(f134,plain,
( ? [X11] :
( sP13(X11)
& sP12(X11)
& r1(sK55,X11) )
=> ( sP13(sK59)
& sP12(sK59)
& r1(sK55,sK59) ) ),
introduced(choice_axiom,[]) ).
fof(f135,plain,
! [X12] :
( ? [X13] :
( p1(X13)
& ? [X14] :
( ~ p1(X14)
& r1(X13,X14) )
& r1(X12,X13) )
=> ( p1(sK60(X12))
& ? [X14] :
( ~ p1(X14)
& r1(sK60(X12),X14) )
& r1(X12,sK60(X12)) ) ),
introduced(choice_axiom,[]) ).
fof(f136,plain,
! [X12] :
( ? [X14] :
( ~ p1(X14)
& r1(sK60(X12),X14) )
=> ( ~ p1(sK61(X12))
& r1(sK60(X12),sK61(X12)) ) ),
introduced(choice_axiom,[]) ).
fof(f137,plain,
( ? [X15] :
( ~ p1(X15)
& r1(sK55,X15) )
=> ( ~ p1(sK62)
& r1(sK55,sK62) ) ),
introduced(choice_axiom,[]) ).
fof(f138,plain,
! [X16] :
( ? [X17] :
( p5(X17)
& r1(X16,X17) )
=> ( p5(sK63(X16))
& r1(X16,sK63(X16)) ) ),
introduced(choice_axiom,[]) ).
fof(f139,plain,
! [X18] :
( ? [X19] :
( p3(X19)
& ? [X20] :
( ~ p3(X20)
& r1(X19,X20) )
& r1(X18,X19) )
=> ( p3(sK64(X18))
& ? [X20] :
( ~ p3(X20)
& r1(sK64(X18),X20) )
& r1(X18,sK64(X18)) ) ),
introduced(choice_axiom,[]) ).
fof(f140,plain,
! [X18] :
( ? [X20] :
( ~ p3(X20)
& r1(sK64(X18),X20) )
=> ( ~ p3(sK65(X18))
& r1(sK64(X18),sK65(X18)) ) ),
introduced(choice_axiom,[]) ).
fof(f141,plain,
( ? [X21] :
( ~ p3(X21)
& r1(sK55,X21) )
=> ( ~ p3(sK66)
& r1(sK55,sK66) ) ),
introduced(choice_axiom,[]) ).
fof(f142,plain,
( ? [X22] :
( ~ p2(X22)
& r1(sK55,X22) )
=> ( ~ p2(sK67)
& r1(sK55,sK67) ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( sP21(X5)
& ? [X6] : r1(X5,X6)
& ~ p1(X5)
& r1(X0,X5) )
| ! [X7] : ~ r1(X0,X7)
| p1(X0) )
& ( sP20(X0)
| ! [X8] : ~ r1(X0,X8)
| p1(X0)
| p2(X0) )
& ( sP18(X0)
| ! [X9] : ~ r1(X0,X9)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( sP16(X0)
| ! [X10] : ~ r1(X0,X10)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X11] :
( sP13(X11)
& sP12(X11)
& r1(X0,X11) )
| sP14(X0) )
& ! [X12] :
( ? [X13] :
( p1(X13)
& ? [X14] :
( ~ p1(X14)
& r1(X13,X14) )
& r1(X12,X13) )
| p1(X12)
| ~ r1(X0,X12) )
& ? [X15] :
( ~ p1(X15)
& r1(X0,X15) )
& ( sP2(X0)
| ! [X16] :
( ? [X17] :
( p5(X17)
& r1(X16,X17) )
| ~ r1(X0,X16) ) )
& ! [X18] :
( ? [X19] :
( p3(X19)
& ? [X20] :
( ~ p3(X20)
& r1(X19,X20) )
& r1(X18,X19) )
| p3(X18)
| ~ r1(X0,X18) )
& ? [X21] :
( ~ p3(X21)
& r1(X0,X21) )
& ( ( sP0(X0)
& ? [X22] :
( ~ p2(X22)
& r1(X0,X22) ) )
| ! [X23] :
( ~ p5(X23)
| ~ r1(X0,X23) ) ) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( sP21(X5)
& ? [X10] : r1(X5,X10)
& ~ p1(X5)
& r1(X0,X5) )
| ! [X11] : ~ r1(X0,X11)
| p1(X0) )
& ( sP20(X0)
| ! [X18] : ~ r1(X0,X18)
| p1(X0)
| p2(X0) )
& ( sP18(X0)
| ! [X25] : ~ r1(X0,X25)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( sP16(X0)
| ! [X32] : ~ r1(X0,X32)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X33] :
( sP13(X33)
& sP12(X33)
& r1(X0,X33) )
| sP14(X0) )
& ! [X72] :
( ? [X73] :
( p1(X73)
& ? [X74] :
( ~ p1(X74)
& r1(X73,X74) )
& r1(X72,X73) )
| p1(X72)
| ~ r1(X0,X72) )
& ? [X75] :
( ~ p1(X75)
& r1(X0,X75) )
& ( sP2(X0)
| ! [X80] :
( ? [X81] :
( p5(X81)
& r1(X80,X81) )
| ~ r1(X0,X80) ) )
& ! [X82] :
( ? [X83] :
( p3(X83)
& ? [X84] :
( ~ p3(X84)
& r1(X83,X84) )
& r1(X82,X83) )
| p3(X82)
| ~ r1(X0,X82) )
& ? [X85] :
( ~ p3(X85)
& r1(X0,X85) )
& ( ( sP0(X0)
& ? [X89] :
( ~ p2(X89)
& r1(X0,X89) ) )
| ! [X90] :
( ~ p5(X90)
| ~ r1(X0,X90) ) ) ),
inference(definition_folding,[],[f8,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9]) ).
fof(f10,plain,
! [X0] :
( ! [X76] :
( ? [X77] :
( p2(X77)
& ? [X78] :
( ~ p2(X78)
& r1(X77,X78) )
& r1(X76,X77) )
| p2(X76)
| ~ r1(X0,X76) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f11,plain,
! [X0] :
( ( sP1(X0)
& ? [X79] :
( ~ p2(X79)
& r1(X0,X79) ) )
| ~ sP2(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f13,plain,
! [X0] :
( ? [X63] :
( p2(X63)
& ? [X64] :
( ~ p2(X64)
& r1(X63,X64) )
& r1(X0,X63) )
| p2(X0)
| ~ sP4(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f14,plain,
! [X33] :
( ? [X59] :
( ? [X60] :
( ! [X61] :
( ~ p2(X61)
| ! [X62] :
( p2(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
& ~ p2(X60)
& r1(X59,X60) )
& r1(X33,X59) )
| ~ sP5(X33) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f15,plain,
! [X33] :
( ! [X56] :
( ? [X57] :
( p2(X57)
& ? [X58] :
( ~ p2(X58)
& r1(X57,X58) )
& r1(X56,X57) )
| p2(X56)
| ~ r1(X33,X56) )
| ~ sP6(X33) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f16,plain,
! [X44] :
( ! [X50] :
( ! [X51] :
( ? [X52] :
( p2(X52)
& ? [X53] :
( ~ p2(X53)
& r1(X52,X53) )
& r1(X51,X52) )
| p2(X51)
| ~ r1(X50,X51) )
| ~ r1(X44,X50) )
| ~ sP7(X44) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f17,plain,
! [X44] :
( ? [X45] :
( p2(X45)
& ? [X46] :
( ~ p2(X46)
& r1(X45,X46) )
& r1(X44,X45) )
| p2(X44)
| ~ sP8(X44) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f18,plain,
! [X34] :
( ? [X40] :
( ? [X41] :
( ! [X42] :
( ~ p2(X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
& ~ p2(X41)
& r1(X40,X41) )
& r1(X34,X40) )
| ~ sP9(X34) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f19,plain,
! [X34] :
( ! [X37] :
( ? [X38] :
( p2(X38)
& ? [X39] :
( ~ p2(X39)
& r1(X38,X39) )
& r1(X37,X38) )
| p2(X37)
| ~ r1(X34,X37) )
| ~ sP10(X34) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f20,plain,
! [X34] :
( ! [X44] :
( ( sP8(X44)
& ( ? [X47] :
( ! [X48] :
( ~ p2(X48)
| ! [X49] :
( p2(X49)
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
& ~ p2(X47)
& r1(X44,X47) )
| sP7(X44) ) )
| ~ r1(X34,X44) )
| ~ sP11(X34) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f22,plain,
! [X33] :
( ! [X34] :
( ( ! [X35] :
( ~ p2(X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
& ~ p2(X34) )
| ( sP10(X34)
& sP9(X34) )
| sP11(X34)
| ~ r1(X33,X34) )
| ~ sP13(X33) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f23,plain,
! [X0] :
( ( sP4(X0)
& ( ? [X65] :
( ! [X66] :
( ~ p2(X66)
| ! [X67] :
( p2(X67)
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
& ~ p2(X65)
& r1(X0,X65) )
| sP3(X0) ) )
| ~ sP14(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f24,plain,
! [X27] :
( ( ? [X28] : r1(X27,X28)
& ~ p1(X27)
& ~ p2(X27)
& ~ p3(X27)
& ~ p4(X27) )
| ~ sP15(X27) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f25,plain,
! [X0] :
( ? [X26] :
( ! [X27] :
( sP15(X27)
| ! [X29] :
( ! [X30] : ~ r1(X29,X30)
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
& ? [X31] : r1(X26,X31)
& ~ p1(X26)
& ~ p2(X26)
& ~ p3(X26)
& ~ p4(X26)
& r1(X0,X26) )
| ~ sP16(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f26,plain,
! [X19] :
( ! [X20] :
( ( ? [X21] : r1(X20,X21)
& ~ p1(X20)
& ~ p2(X20)
& ~ p3(X20) )
| ! [X22] :
( ! [X23] : ~ r1(X22,X23)
| p1(X22)
| p2(X22)
| p3(X22)
| ~ r1(X20,X22) )
| ~ r1(X19,X20) )
| ~ sP17(X19) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f27,plain,
! [X0] :
( ? [X19] :
( sP17(X19)
& ? [X24] : r1(X19,X24)
& ~ p1(X19)
& ~ p2(X19)
& ~ p3(X19)
& r1(X0,X19) )
| ~ sP18(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f28,plain,
! [X12] :
( ! [X13] :
( ( ? [X14] : r1(X13,X14)
& ~ p1(X13)
& ~ p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
| ~ sP19(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f29,plain,
! [X0] :
( ? [X12] :
( sP19(X12)
& ? [X17] : r1(X12,X17)
& ~ p1(X12)
& ~ p2(X12)
& r1(X0,X12) )
| ~ sP20(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f30,plain,
! [X5] :
( ! [X6] :
( ( ? [X7] : r1(X6,X7)
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
| ~ sP21(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f8,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ? [X7] : r1(X6,X7)
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
& ? [X10] : r1(X5,X10)
& ~ p1(X5)
& r1(X0,X5) )
| ! [X11] : ~ r1(X0,X11)
| p1(X0) )
& ( ? [X12] :
( ! [X13] :
( ( ? [X14] : r1(X13,X14)
& ~ p1(X13)
& ~ p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ? [X17] : r1(X12,X17)
& ~ p1(X12)
& ~ p2(X12)
& r1(X0,X12) )
| ! [X18] : ~ r1(X0,X18)
| p1(X0)
| p2(X0) )
& ( ? [X19] :
( ! [X20] :
( ( ? [X21] : r1(X20,X21)
& ~ p1(X20)
& ~ p2(X20)
& ~ p3(X20) )
| ! [X22] :
( ! [X23] : ~ r1(X22,X23)
| p1(X22)
| p2(X22)
| p3(X22)
| ~ r1(X20,X22) )
| ~ r1(X19,X20) )
& ? [X24] : r1(X19,X24)
& ~ p1(X19)
& ~ p2(X19)
& ~ p3(X19)
& r1(X0,X19) )
| ! [X25] : ~ r1(X0,X25)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ? [X26] :
( ! [X27] :
( ( ? [X28] : r1(X27,X28)
& ~ p1(X27)
& ~ p2(X27)
& ~ p3(X27)
& ~ p4(X27) )
| ! [X29] :
( ! [X30] : ~ r1(X29,X30)
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
& ? [X31] : r1(X26,X31)
& ~ p1(X26)
& ~ p2(X26)
& ~ p3(X26)
& ~ p4(X26)
& r1(X0,X26) )
| ! [X32] : ~ r1(X0,X32)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X33] :
( ! [X34] :
( ( ! [X35] :
( ~ p2(X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
& ~ p2(X34) )
| ( ! [X37] :
( ? [X38] :
( p2(X38)
& ? [X39] :
( ~ p2(X39)
& r1(X38,X39) )
& r1(X37,X38) )
| p2(X37)
| ~ r1(X34,X37) )
& ? [X40] :
( ? [X41] :
( ! [X42] :
( ~ p2(X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
& ~ p2(X41)
& r1(X40,X41) )
& r1(X34,X40) ) )
| ! [X44] :
( ( ( ? [X45] :
( p2(X45)
& ? [X46] :
( ~ p2(X46)
& r1(X45,X46) )
& r1(X44,X45) )
| p2(X44) )
& ( ? [X47] :
( ! [X48] :
( ~ p2(X48)
| ! [X49] :
( p2(X49)
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
& ~ p2(X47)
& r1(X44,X47) )
| ! [X50] :
( ! [X51] :
( ? [X52] :
( p2(X52)
& ? [X53] :
( ~ p2(X53)
& r1(X52,X53) )
& r1(X51,X52) )
| p2(X51)
| ~ r1(X50,X51) )
| ~ r1(X44,X50) ) ) )
| ~ r1(X34,X44) )
| ~ r1(X33,X34) )
& ( ( ! [X54] :
( ~ p2(X54)
| ! [X55] :
( p2(X55)
| ~ r1(X54,X55) )
| ~ r1(X33,X54) )
& ~ p2(X33) )
| ( ! [X56] :
( ? [X57] :
( p2(X57)
& ? [X58] :
( ~ p2(X58)
& r1(X57,X58) )
& r1(X56,X57) )
| p2(X56)
| ~ r1(X33,X56) )
& ? [X59] :
( ? [X60] :
( ! [X61] :
( ~ p2(X61)
| ! [X62] :
( p2(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
& ~ p2(X60)
& r1(X59,X60) )
& r1(X33,X59) ) ) )
& r1(X0,X33) )
| ( ( ? [X63] :
( p2(X63)
& ? [X64] :
( ~ p2(X64)
& r1(X63,X64) )
& r1(X0,X63) )
| p2(X0) )
& ( ? [X65] :
( ! [X66] :
( ~ p2(X66)
| ! [X67] :
( p2(X67)
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
& ~ p2(X65)
& r1(X0,X65) )
| ! [X68] :
( ! [X69] :
( ? [X70] :
( p2(X70)
& ? [X71] :
( ~ p2(X71)
& r1(X70,X71) )
& r1(X69,X70) )
| p2(X69)
| ~ r1(X68,X69) )
| ~ r1(X0,X68) ) ) ) )
& ! [X72] :
( ? [X73] :
( p1(X73)
& ? [X74] :
( ~ p1(X74)
& r1(X73,X74) )
& r1(X72,X73) )
| p1(X72)
| ~ r1(X0,X72) )
& ? [X75] :
( ~ p1(X75)
& r1(X0,X75) )
& ( ( ! [X76] :
( ? [X77] :
( p2(X77)
& ? [X78] :
( ~ p2(X78)
& r1(X77,X78) )
& r1(X76,X77) )
| p2(X76)
| ~ r1(X0,X76) )
& ? [X79] :
( ~ p2(X79)
& r1(X0,X79) ) )
| ! [X80] :
( ? [X81] :
( p5(X81)
& r1(X80,X81) )
| ~ r1(X0,X80) ) )
& ! [X82] :
( ? [X83] :
( p3(X83)
& ? [X84] :
( ~ p3(X84)
& r1(X83,X84) )
& r1(X82,X83) )
| p3(X82)
| ~ r1(X0,X82) )
& ? [X85] :
( ~ p3(X85)
& r1(X0,X85) )
& ( ( ! [X86] :
( ? [X87] :
( p2(X87)
& ? [X88] :
( ~ p2(X88)
& r1(X87,X88) )
& r1(X86,X87) )
| p2(X86)
| ~ r1(X0,X86) )
& ? [X89] :
( ~ p2(X89)
& r1(X0,X89) ) )
| ! [X90] :
( ~ p5(X90)
| ~ r1(X0,X90) ) ) ),
inference(flattening,[],[f7]) ).
fof(f7,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ? [X7] : r1(X6,X7)
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
& ? [X10] : r1(X5,X10)
& ~ p1(X5)
& r1(X0,X5) )
| ! [X11] : ~ r1(X0,X11)
| p1(X0) )
& ( ? [X12] :
( ! [X13] :
( ( ? [X14] : r1(X13,X14)
& ~ p1(X13)
& ~ p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ? [X17] : r1(X12,X17)
& ~ p1(X12)
& ~ p2(X12)
& r1(X0,X12) )
| ! [X18] : ~ r1(X0,X18)
| p1(X0)
| p2(X0) )
& ( ? [X19] :
( ! [X20] :
( ( ? [X21] : r1(X20,X21)
& ~ p1(X20)
& ~ p2(X20)
& ~ p3(X20) )
| ! [X22] :
( ! [X23] : ~ r1(X22,X23)
| p1(X22)
| p2(X22)
| p3(X22)
| ~ r1(X20,X22) )
| ~ r1(X19,X20) )
& ? [X24] : r1(X19,X24)
& ~ p1(X19)
& ~ p2(X19)
& ~ p3(X19)
& r1(X0,X19) )
| ! [X25] : ~ r1(X0,X25)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ? [X26] :
( ! [X27] :
( ( ? [X28] : r1(X27,X28)
& ~ p1(X27)
& ~ p2(X27)
& ~ p3(X27)
& ~ p4(X27) )
| ! [X29] :
( ! [X30] : ~ r1(X29,X30)
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
& ? [X31] : r1(X26,X31)
& ~ p1(X26)
& ~ p2(X26)
& ~ p3(X26)
& ~ p4(X26)
& r1(X0,X26) )
| ! [X32] : ~ r1(X0,X32)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X33] :
( ! [X34] :
( ( ! [X35] :
( ~ p2(X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
& ~ p2(X34) )
| ( ! [X37] :
( ? [X38] :
( p2(X38)
& ? [X39] :
( ~ p2(X39)
& r1(X38,X39) )
& r1(X37,X38) )
| p2(X37)
| ~ r1(X34,X37) )
& ? [X40] :
( ? [X41] :
( ! [X42] :
( ~ p2(X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
& ~ p2(X41)
& r1(X40,X41) )
& r1(X34,X40) ) )
| ! [X44] :
( ( ( ? [X45] :
( p2(X45)
& ? [X46] :
( ~ p2(X46)
& r1(X45,X46) )
& r1(X44,X45) )
| p2(X44) )
& ( ? [X47] :
( ! [X48] :
( ~ p2(X48)
| ! [X49] :
( p2(X49)
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
& ~ p2(X47)
& r1(X44,X47) )
| ! [X50] :
( ! [X51] :
( ? [X52] :
( p2(X52)
& ? [X53] :
( ~ p2(X53)
& r1(X52,X53) )
& r1(X51,X52) )
| p2(X51)
| ~ r1(X50,X51) )
| ~ r1(X44,X50) ) ) )
| ~ r1(X34,X44) )
| ~ r1(X33,X34) )
& ( ( ! [X54] :
( ~ p2(X54)
| ! [X55] :
( p2(X55)
| ~ r1(X54,X55) )
| ~ r1(X33,X54) )
& ~ p2(X33) )
| ( ! [X56] :
( ? [X57] :
( p2(X57)
& ? [X58] :
( ~ p2(X58)
& r1(X57,X58) )
& r1(X56,X57) )
| p2(X56)
| ~ r1(X33,X56) )
& ? [X59] :
( ? [X60] :
( ! [X61] :
( ~ p2(X61)
| ! [X62] :
( p2(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
& ~ p2(X60)
& r1(X59,X60) )
& r1(X33,X59) ) ) )
& r1(X0,X33) )
| ( ( ? [X63] :
( p2(X63)
& ? [X64] :
( ~ p2(X64)
& r1(X63,X64) )
& r1(X0,X63) )
| p2(X0) )
& ( ? [X65] :
( ! [X66] :
( ~ p2(X66)
| ! [X67] :
( p2(X67)
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
& ~ p2(X65)
& r1(X0,X65) )
| ! [X68] :
( ! [X69] :
( ? [X70] :
( p2(X70)
& ? [X71] :
( ~ p2(X71)
& r1(X70,X71) )
& r1(X69,X70) )
| p2(X69)
| ~ r1(X68,X69) )
| ~ r1(X0,X68) ) ) ) )
& ! [X72] :
( ? [X73] :
( p1(X73)
& ? [X74] :
( ~ p1(X74)
& r1(X73,X74) )
& r1(X72,X73) )
| p1(X72)
| ~ r1(X0,X72) )
& ? [X75] :
( ~ p1(X75)
& r1(X0,X75) )
& ( ( ! [X76] :
( ? [X77] :
( p2(X77)
& ? [X78] :
( ~ p2(X78)
& r1(X77,X78) )
& r1(X76,X77) )
| p2(X76)
| ~ r1(X0,X76) )
& ? [X79] :
( ~ p2(X79)
& r1(X0,X79) ) )
| ! [X80] :
( ? [X81] :
( p5(X81)
& r1(X80,X81) )
| ~ r1(X0,X80) ) )
& ! [X82] :
( ? [X83] :
( p3(X83)
& ? [X84] :
( ~ p3(X84)
& r1(X83,X84) )
& r1(X82,X83) )
| p3(X82)
| ~ r1(X0,X82) )
& ? [X85] :
( ~ p3(X85)
& r1(X0,X85) )
& ( ( ! [X86] :
( ? [X87] :
( p2(X87)
& ? [X88] :
( ~ p2(X88)
& r1(X87,X88) )
& r1(X86,X87) )
| p2(X86)
| ~ r1(X0,X86) )
& ? [X89] :
( ~ p2(X89)
& r1(X0,X89) ) )
| ! [X90] :
( ~ p5(X90)
| ~ r1(X0,X90) ) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X2] :
( ~ ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X5] :
( ~ ! [X6] :
( ~ ( ! [X7] : ~ r1(X6,X7)
| p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
| ! [X10] : ~ r1(X5,X10)
| p1(X5)
| ~ r1(X0,X5) )
| ! [X11] : ~ r1(X0,X11)
| p1(X0) )
& ( ~ ! [X12] :
( ~ ! [X13] :
( ~ ( ! [X14] : ~ r1(X13,X14)
| p1(X13)
| p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
| ! [X17] : ~ r1(X12,X17)
| p1(X12)
| p2(X12)
| ~ r1(X0,X12) )
| ! [X18] : ~ r1(X0,X18)
| p1(X0)
| p2(X0) )
& ( ~ ! [X19] :
( ~ ! [X20] :
( ~ ( ! [X21] : ~ r1(X20,X21)
| p1(X20)
| p2(X20)
| p3(X20) )
| ! [X22] :
( ! [X23] : ~ r1(X22,X23)
| p1(X22)
| p2(X22)
| p3(X22)
| ~ r1(X20,X22) )
| ~ r1(X19,X20) )
| ! [X24] : ~ r1(X19,X24)
| p1(X19)
| p2(X19)
| p3(X19)
| ~ r1(X0,X19) )
| ! [X25] : ~ r1(X0,X25)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X26] :
( ~ ! [X27] :
( ~ ( ! [X28] : ~ r1(X27,X28)
| p1(X27)
| p2(X27)
| p3(X27)
| p4(X27) )
| ! [X29] :
( ! [X30] : ~ r1(X29,X30)
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
| ! [X31] : ~ r1(X26,X31)
| p1(X26)
| p2(X26)
| p3(X26)
| p4(X26)
| ~ r1(X0,X26) )
| ! [X32] : ~ r1(X0,X32)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X33] :
( ~ ! [X34] :
( ~ ( ( ~ ! [X35] :
( ~ p2(X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
| p2(X34) )
& ( ~ ! [X37] :
( ~ ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| p2(X37)
| ~ r1(X34,X37) )
| ! [X40] :
( ! [X41] :
( ~ ! [X42] :
( ~ p2(X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X34,X40) ) ) )
| ! [X44] :
( ( ( ~ ! [X45] :
( ~ p2(X45)
| ! [X46] :
( p2(X46)
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| p2(X44) )
& ( ~ ! [X47] :
( ~ ! [X48] :
( ~ p2(X48)
| ! [X49] :
( p2(X49)
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
| p2(X47)
| ~ r1(X44,X47) )
| ! [X50] :
( ! [X51] :
( ~ ! [X52] :
( ~ p2(X52)
| ! [X53] :
( p2(X53)
| ~ r1(X52,X53) )
| ~ r1(X51,X52) )
| p2(X51)
| ~ r1(X50,X51) )
| ~ r1(X44,X50) ) ) )
| ~ r1(X34,X44) )
| ~ r1(X33,X34) )
| ( ( ~ ! [X54] :
( ~ p2(X54)
| ! [X55] :
( p2(X55)
| ~ r1(X54,X55) )
| ~ r1(X33,X54) )
| p2(X33) )
& ( ~ ! [X56] :
( ~ ! [X57] :
( ~ p2(X57)
| ! [X58] :
( p2(X58)
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
| p2(X56)
| ~ r1(X33,X56) )
| ! [X59] :
( ! [X60] :
( ~ ! [X61] :
( ~ p2(X61)
| ! [X62] :
( p2(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| p2(X60)
| ~ r1(X59,X60) )
| ~ r1(X33,X59) ) ) )
| ~ r1(X0,X33) )
| ( ( ~ ! [X63] :
( ~ p2(X63)
| ! [X64] :
( p2(X64)
| ~ r1(X63,X64) )
| ~ r1(X0,X63) )
| p2(X0) )
& ( ~ ! [X65] :
( ~ ! [X66] :
( ~ p2(X66)
| ! [X67] :
( p2(X67)
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
| p2(X65)
| ~ r1(X0,X65) )
| ! [X68] :
( ! [X69] :
( ~ ! [X70] :
( ~ p2(X70)
| ! [X71] :
( p2(X71)
| ~ r1(X70,X71) )
| ~ r1(X69,X70) )
| p2(X69)
| ~ r1(X68,X69) )
| ~ r1(X0,X68) ) ) ) ) )
| ~ ! [X72] :
( ~ ! [X73] :
( ~ p1(X73)
| ! [X74] :
( p1(X74)
| ~ r1(X73,X74) )
| ~ r1(X72,X73) )
| p1(X72)
| ~ r1(X0,X72) )
| ! [X75] :
( p1(X75)
| ~ r1(X0,X75) )
| ( ( ~ ! [X76] :
( ~ ! [X77] :
( ~ p2(X77)
| ! [X78] :
( p2(X78)
| ~ r1(X77,X78) )
| ~ r1(X76,X77) )
| p2(X76)
| ~ r1(X0,X76) )
| ! [X79] :
( p2(X79)
| ~ r1(X0,X79) ) )
& ~ ! [X80] :
( ~ ! [X81] :
( ~ p5(X81)
| ~ r1(X80,X81) )
| ~ r1(X0,X80) ) )
| ~ ! [X82] :
( ~ ! [X83] :
( ~ p3(X83)
| ! [X84] :
( p3(X84)
| ~ r1(X83,X84) )
| ~ r1(X82,X83) )
| p3(X82)
| ~ r1(X0,X82) )
| ! [X85] :
( p3(X85)
| ~ r1(X0,X85) )
| ( ( ~ ! [X86] :
( ~ ! [X87] :
( ~ p2(X87)
| ! [X88] :
( p2(X88)
| ~ r1(X87,X88) )
| ~ r1(X86,X87) )
| p2(X86)
| ~ r1(X0,X86) )
| ! [X89] :
( p2(X89)
| ~ r1(X0,X89) ) )
& ~ ! [X90] :
( ~ p5(X90)
| ~ r1(X0,X90) ) ) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
~ ~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X2] :
( ~ ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X5] :
( ~ ! [X6] :
( ~ ( ! [X7] : ~ r1(X6,X7)
| p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
| ! [X10] : ~ r1(X5,X10)
| p1(X5)
| ~ r1(X0,X5) )
| ! [X11] : ~ r1(X0,X11)
| p1(X0) )
& ( ~ ! [X12] :
( ~ ! [X13] :
( ~ ( ! [X14] : ~ r1(X13,X14)
| p1(X13)
| p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
| ! [X17] : ~ r1(X12,X17)
| p1(X12)
| p2(X12)
| ~ r1(X0,X12) )
| ! [X18] : ~ r1(X0,X18)
| p1(X0)
| p2(X0) )
& ( ~ ! [X19] :
( ~ ! [X20] :
( ~ ( ! [X21] : ~ r1(X20,X21)
| p1(X20)
| p2(X20)
| p3(X20) )
| ! [X22] :
( ! [X23] : ~ r1(X22,X23)
| p1(X22)
| p2(X22)
| p3(X22)
| ~ r1(X20,X22) )
| ~ r1(X19,X20) )
| ! [X24] : ~ r1(X19,X24)
| p1(X19)
| p2(X19)
| p3(X19)
| ~ r1(X0,X19) )
| ! [X25] : ~ r1(X0,X25)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X26] :
( ~ ! [X27] :
( ~ ( ! [X28] : ~ r1(X27,X28)
| p1(X27)
| p2(X27)
| p3(X27)
| p4(X27) )
| ! [X29] :
( ! [X30] : ~ r1(X29,X30)
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
| ! [X31] : ~ r1(X26,X31)
| p1(X26)
| p2(X26)
| p3(X26)
| p4(X26)
| ~ r1(X0,X26) )
| ! [X32] : ~ r1(X0,X32)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X33] :
( ~ ! [X34] :
( ~ ( ( ~ ! [X35] :
( ~ p2(X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
| p2(X34) )
& ( ~ ! [X37] :
( ~ ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| p2(X37)
| ~ r1(X34,X37) )
| ! [X40] :
( ! [X41] :
( ~ ! [X42] :
( ~ p2(X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X34,X40) ) ) )
| ! [X44] :
( ( ( ~ ! [X45] :
( ~ p2(X45)
| ! [X46] :
( p2(X46)
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| p2(X44) )
& ( ~ ! [X47] :
( ~ ! [X48] :
( ~ p2(X48)
| ! [X49] :
( p2(X49)
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
| p2(X47)
| ~ r1(X44,X47) )
| ! [X50] :
( ! [X51] :
( ~ ! [X52] :
( ~ p2(X52)
| ! [X53] :
( p2(X53)
| ~ r1(X52,X53) )
| ~ r1(X51,X52) )
| p2(X51)
| ~ r1(X50,X51) )
| ~ r1(X44,X50) ) ) )
| ~ r1(X34,X44) )
| ~ r1(X33,X34) )
| ( ( ~ ! [X54] :
( ~ p2(X54)
| ! [X55] :
( p2(X55)
| ~ r1(X54,X55) )
| ~ r1(X33,X54) )
| p2(X33) )
& ( ~ ! [X56] :
( ~ ! [X57] :
( ~ p2(X57)
| ! [X58] :
( p2(X58)
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
| p2(X56)
| ~ r1(X33,X56) )
| ! [X59] :
( ! [X60] :
( ~ ! [X61] :
( ~ p2(X61)
| ! [X62] :
( p2(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| p2(X60)
| ~ r1(X59,X60) )
| ~ r1(X33,X59) ) ) )
| ~ r1(X0,X33) )
| ( ( ~ ! [X63] :
( ~ p2(X63)
| ! [X64] :
( p2(X64)
| ~ r1(X63,X64) )
| ~ r1(X0,X63) )
| p2(X0) )
& ( ~ ! [X65] :
( ~ ! [X66] :
( ~ p2(X66)
| ! [X67] :
( p2(X67)
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
| p2(X65)
| ~ r1(X0,X65) )
| ! [X68] :
( ! [X69] :
( ~ ! [X70] :
( ~ p2(X70)
| ! [X71] :
( p2(X71)
| ~ r1(X70,X71) )
| ~ r1(X69,X70) )
| p2(X69)
| ~ r1(X68,X69) )
| ~ r1(X0,X68) ) ) ) ) )
| ~ ! [X72] :
( ~ ! [X73] :
( ~ p1(X73)
| ! [X74] :
( p1(X74)
| ~ r1(X73,X74) )
| ~ r1(X72,X73) )
| p1(X72)
| ~ r1(X0,X72) )
| ! [X75] :
( p1(X75)
| ~ r1(X0,X75) )
| ( ( ~ ! [X76] :
( ~ ! [X77] :
( ~ p2(X77)
| ! [X78] :
( p2(X78)
| ~ r1(X77,X78) )
| ~ r1(X76,X77) )
| p2(X76)
| ~ r1(X0,X76) )
| ! [X79] :
( p2(X79)
| ~ r1(X0,X79) ) )
& ~ ! [X80] :
( ~ ! [X81] :
( ~ p5(X81)
| ~ r1(X80,X81) )
| ~ r1(X0,X80) ) )
| ~ ! [X82] :
( ~ ! [X83] :
( ~ p3(X83)
| ! [X84] :
( p3(X84)
| ~ r1(X83,X84) )
| ~ r1(X82,X83) )
| p3(X82)
| ~ r1(X0,X82) )
| ! [X85] :
( p3(X85)
| ~ r1(X0,X85) )
| ( ( ~ ! [X86] :
( ~ ! [X87] :
( ~ p2(X87)
| ! [X88] :
( p2(X88)
| ~ r1(X87,X88) )
| ~ r1(X86,X87) )
| p2(X86)
| ~ r1(X0,X86) )
| ! [X89] :
( p2(X89)
| ~ r1(X0,X89) ) )
& ~ ! [X90] :
( ~ p5(X90)
| ~ r1(X0,X90) ) ) ),
inference(true_and_false_elimination,[],[f4]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X2] :
( ~ ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X5] :
( ~ ! [X6] :
( ~ ( ! [X7] :
( $false
| ~ r1(X6,X7) )
| p1(X6) )
| ! [X8] :
( ! [X9] :
( $false
| ~ r1(X8,X9) )
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
| ! [X10] :
( $false
| ~ r1(X5,X10) )
| p1(X5)
| ~ r1(X0,X5) )
| ! [X11] :
( $false
| ~ r1(X0,X11) )
| p1(X0) )
& ( ~ ! [X12] :
( ~ ! [X13] :
( ~ ( ! [X14] :
( $false
| ~ r1(X13,X14) )
| p1(X13)
| p2(X13) )
| ! [X15] :
( ! [X16] :
( $false
| ~ r1(X15,X16) )
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
| ! [X17] :
( $false
| ~ r1(X12,X17) )
| p1(X12)
| p2(X12)
| ~ r1(X0,X12) )
| ! [X18] :
( $false
| ~ r1(X0,X18) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X19] :
( ~ ! [X20] :
( ~ ( ! [X21] :
( $false
| ~ r1(X20,X21) )
| p1(X20)
| p2(X20)
| p3(X20) )
| ! [X22] :
( ! [X23] :
( $false
| ~ r1(X22,X23) )
| p1(X22)
| p2(X22)
| p3(X22)
| ~ r1(X20,X22) )
| ~ r1(X19,X20) )
| ! [X24] :
( $false
| ~ r1(X19,X24) )
| p1(X19)
| p2(X19)
| p3(X19)
| ~ r1(X0,X19) )
| ! [X25] :
( $false
| ~ r1(X0,X25) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X26] :
( ~ ! [X27] :
( ~ ( ! [X28] :
( $false
| ~ r1(X27,X28) )
| p1(X27)
| p2(X27)
| p3(X27)
| p4(X27) )
| ! [X29] :
( ! [X30] :
( $false
| ~ r1(X29,X30) )
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
| ! [X31] :
( $false
| ~ r1(X26,X31) )
| p1(X26)
| p2(X26)
| p3(X26)
| p4(X26)
| ~ r1(X0,X26) )
| ! [X32] :
( $false
| ~ r1(X0,X32) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X33] :
( ~ ! [X34] :
( ~ ( ( ~ ! [X35] :
( ~ p2(X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
| p2(X34) )
& ( ~ ! [X37] :
( ~ ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| p2(X37)
| ~ r1(X34,X37) )
| ! [X40] :
( ! [X41] :
( ~ ! [X42] :
( ~ p2(X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X34,X40) ) ) )
| ! [X44] :
( ( ( ~ ! [X45] :
( ~ p2(X45)
| ! [X46] :
( p2(X46)
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| p2(X44) )
& ( ~ ! [X47] :
( ~ ! [X48] :
( ~ p2(X48)
| ! [X49] :
( p2(X49)
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
| p2(X47)
| ~ r1(X44,X47) )
| ! [X50] :
( ! [X51] :
( ~ ! [X52] :
( ~ p2(X52)
| ! [X53] :
( p2(X53)
| ~ r1(X52,X53) )
| ~ r1(X51,X52) )
| p2(X51)
| ~ r1(X50,X51) )
| ~ r1(X44,X50) ) ) )
| ~ r1(X34,X44) )
| ~ r1(X33,X34) )
| ( ( ~ ! [X54] :
( ~ p2(X54)
| ! [X55] :
( p2(X55)
| ~ r1(X54,X55) )
| ~ r1(X33,X54) )
| p2(X33) )
& ( ~ ! [X56] :
( ~ ! [X57] :
( ~ p2(X57)
| ! [X58] :
( p2(X58)
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
| p2(X56)
| ~ r1(X33,X56) )
| ! [X59] :
( ! [X60] :
( ~ ! [X61] :
( ~ p2(X61)
| ! [X62] :
( p2(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| p2(X60)
| ~ r1(X59,X60) )
| ~ r1(X33,X59) ) ) )
| ~ r1(X0,X33) )
| ( ( ~ ! [X63] :
( ~ p2(X63)
| ! [X64] :
( p2(X64)
| ~ r1(X63,X64) )
| ~ r1(X0,X63) )
| p2(X0) )
& ( ~ ! [X65] :
( ~ ! [X66] :
( ~ p2(X66)
| ! [X67] :
( p2(X67)
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
| p2(X65)
| ~ r1(X0,X65) )
| ! [X68] :
( ! [X69] :
( ~ ! [X70] :
( ~ p2(X70)
| ! [X71] :
( p2(X71)
| ~ r1(X70,X71) )
| ~ r1(X69,X70) )
| p2(X69)
| ~ r1(X68,X69) )
| ~ r1(X0,X68) ) ) ) ) )
| ~ ! [X72] :
( ~ ! [X73] :
( ~ p1(X73)
| ! [X74] :
( p1(X74)
| ~ r1(X73,X74) )
| ~ r1(X72,X73) )
| p1(X72)
| ~ r1(X0,X72) )
| ! [X75] :
( p1(X75)
| ~ r1(X0,X75) )
| ( ( ~ ! [X76] :
( ~ ! [X77] :
( ~ p2(X77)
| ! [X78] :
( p2(X78)
| ~ r1(X77,X78) )
| ~ r1(X76,X77) )
| p2(X76)
| ~ r1(X0,X76) )
| ! [X79] :
( p2(X79)
| ~ r1(X0,X79) ) )
& ~ ! [X80] :
( ~ ! [X81] :
( ~ p5(X81)
| ~ r1(X80,X81) )
| ~ r1(X0,X80) ) )
| ~ ! [X82] :
( ~ ! [X83] :
( ~ p3(X83)
| ! [X84] :
( p3(X84)
| ~ r1(X83,X84) )
| ~ r1(X82,X83) )
| p3(X82)
| ~ r1(X0,X82) )
| ! [X85] :
( p3(X85)
| ~ r1(X0,X85) )
| ( ( ~ ! [X86] :
( ~ ! [X87] :
( ~ p2(X87)
| ! [X88] :
( p2(X88)
| ~ r1(X87,X88) )
| ~ r1(X86,X87) )
| p2(X86)
| ~ r1(X0,X86) )
| ! [X89] :
( p2(X89)
| ~ r1(X0,X89) ) )
& ~ ! [X90] :
( ~ p5(X90)
| ~ r1(X0,X90) ) ) ),
inference(rectify,[],[f3]) ).
fof(f3,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) )
| ! [X1] :
( ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) ) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
& ~ ! [X1] :
( ~ ! [X0] :
( ~ p5(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p3(X0)
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
& ~ ! [X1] :
( ~ p5(X1)
| ~ r1(X0,X1) ) ) ),
inference(negated_conjecture,[],[f2]) ).
fof(f2,conjecture,
~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) )
| ! [X1] :
( ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) ) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
& ~ ! [X1] :
( ~ ! [X0] :
( ~ p5(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p3(X0)
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
& ~ ! [X1] :
( ~ p5(X1)
| ~ r1(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f5472,plain,
( ! [X0] :
( ~ r1(sK50(sK55),X0)
| p2(X0)
| p2(sK48(X0)) )
| ~ spl68_39
| ~ spl68_138 ),
inference(resolution,[],[f5430,f1280]) ).
fof(f5430,plain,
( ! [X0,X1] :
( ~ r1(sK55,X1)
| ~ r1(X1,X0)
| p2(X0)
| p2(sK48(X0)) )
| ~ spl68_39 ),
inference(resolution,[],[f483,f223]) ).
fof(f223,plain,
! [X2,X0,X1] :
( ~ sP3(X0)
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| p2(sK48(X2)) ),
inference(cnf_transformation,[],[f114]) ).
fof(f6018,plain,
( spl68_57
| spl68_292
| ~ spl68_39
| ~ spl68_138
| spl68_290 ),
inference(avatar_split_clause,[],[f6017,f2481,f1279,f481,f2563,f597]) ).
fof(f2563,plain,
( spl68_292
<=> r1(sK56(sK50(sK55)),sK48(sK56(sK50(sK55)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_292])]) ).
fof(f6017,plain,
( r1(sK56(sK50(sK55)),sK48(sK56(sK50(sK55))))
| p2(sK50(sK55))
| ~ spl68_39
| ~ spl68_138
| spl68_290 ),
inference(subsumption_resolution,[],[f6011,f1280]) ).
fof(f6011,plain,
( r1(sK56(sK50(sK55)),sK48(sK56(sK50(sK55))))
| p2(sK50(sK55))
| ~ r1(sK55,sK50(sK55))
| ~ spl68_39
| ~ spl68_138
| spl68_290 ),
inference(subsumption_resolution,[],[f5985,f2482]) ).
fof(f5985,plain,
( p2(sK56(sK50(sK55)))
| r1(sK56(sK50(sK55)),sK48(sK56(sK50(sK55))))
| p2(sK50(sK55))
| ~ r1(sK55,sK50(sK55))
| ~ spl68_39
| ~ spl68_138 ),
inference(resolution,[],[f5525,f262]) ).
fof(f5525,plain,
( ! [X0] :
( ~ r1(sK50(sK55),X0)
| p2(X0)
| r1(X0,sK48(X0)) )
| ~ spl68_39
| ~ spl68_138 ),
inference(resolution,[],[f5429,f1280]) ).
fof(f5429,plain,
( ! [X0,X1] :
( ~ r1(sK55,X1)
| ~ r1(X1,X0)
| p2(X0)
| r1(X0,sK48(X0)) )
| ~ spl68_39 ),
inference(resolution,[],[f483,f220]) ).
fof(f220,plain,
! [X2,X0,X1] :
( ~ sP3(X0)
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| r1(X2,sK48(X2)) ),
inference(cnf_transformation,[],[f114]) ).
fof(f5977,plain,
( spl68_22
| ~ spl68_23
| ~ spl68_650 ),
inference(avatar_contradiction_clause,[],[f5976]) ).
fof(f5976,plain,
( $false
| spl68_22
| ~ spl68_23
| ~ spl68_650 ),
inference(subsumption_resolution,[],[f5975,f367]) ).
fof(f5975,plain,
( ~ r1(sK55,sK67)
| spl68_22
| ~ spl68_650 ),
inference(subsumption_resolution,[],[f5974,f362]) ).
fof(f362,plain,
( ~ p2(sK67)
| spl68_22 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f360,plain,
( spl68_22
<=> p2(sK67) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_22])]) ).
fof(f5974,plain,
( p2(sK67)
| ~ r1(sK55,sK67)
| ~ spl68_650 ),
inference(resolution,[],[f5615,f263]) ).
fof(f263,plain,
! [X1] :
( ~ p2(sK56(X1))
| p2(X1)
| ~ r1(sK55,X1) ),
inference(cnf_transformation,[],[f143]) ).
fof(f5615,plain,
( p2(sK56(sK67))
| ~ spl68_650 ),
inference(avatar_component_clause,[],[f5613]) ).
fof(f5973,plain,
( spl68_22
| ~ spl68_23
| spl68_681 ),
inference(avatar_contradiction_clause,[],[f5972]) ).
fof(f5972,plain,
( $false
| spl68_22
| ~ spl68_23
| spl68_681 ),
inference(subsumption_resolution,[],[f5971,f367]) ).
fof(f5971,plain,
( ~ r1(sK55,sK67)
| spl68_22
| spl68_681 ),
inference(subsumption_resolution,[],[f5970,f362]) ).
fof(f5970,plain,
( p2(sK67)
| ~ r1(sK55,sK67)
| spl68_681 ),
inference(resolution,[],[f5916,f262]) ).
fof(f5916,plain,
( ~ r1(sK67,sK56(sK67))
| spl68_681 ),
inference(avatar_component_clause,[],[f5914]) ).
fof(f5917,plain,
( ~ spl68_681
| spl68_650
| spl68_679
| spl68_22
| ~ spl68_23
| ~ spl68_39
| ~ spl68_649
| ~ spl68_655 ),
inference(avatar_split_clause,[],[f5889,f5696,f5609,f481,f365,f360,f5904,f5613,f5914]) ).
fof(f5609,plain,
( spl68_649
<=> p2(sK48(sK56(sK67))) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_649])]) ).
fof(f5696,plain,
( spl68_655
<=> r1(sK56(sK67),sK48(sK56(sK67))) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_655])]) ).
fof(f5889,plain,
( p2(sK49(sK56(sK67)))
| p2(sK56(sK67))
| ~ r1(sK67,sK56(sK67))
| spl68_22
| ~ spl68_23
| ~ spl68_39
| ~ spl68_649
| ~ spl68_655 ),
inference(resolution,[],[f5711,f5543]) ).
fof(f5543,plain,
( ! [X0] :
( r1(sK48(X0),sK49(X0))
| p2(X0)
| ~ r1(sK67,X0) )
| ~ spl68_23
| ~ spl68_39 ),
inference(resolution,[],[f5428,f367]) ).
fof(f5428,plain,
( ! [X0,X1] :
( ~ r1(sK55,X1)
| ~ r1(X1,X0)
| p2(X0)
| r1(sK48(X0),sK49(X0)) )
| ~ spl68_39 ),
inference(resolution,[],[f483,f221]) ).
fof(f221,plain,
! [X2,X0,X1] :
( ~ sP3(X0)
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| r1(sK48(X2),sK49(X2)) ),
inference(cnf_transformation,[],[f114]) ).
fof(f5711,plain,
( ! [X0] :
( ~ r1(sK48(sK56(sK67)),X0)
| p2(X0) )
| spl68_22
| ~ spl68_23
| ~ spl68_649
| ~ spl68_655 ),
inference(subsumption_resolution,[],[f5710,f367]) ).
fof(f5710,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK48(sK56(sK67)),X0)
| ~ r1(sK55,sK67) )
| spl68_22
| ~ spl68_649
| ~ spl68_655 ),
inference(subsumption_resolution,[],[f5709,f362]) ).
fof(f5709,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK48(sK56(sK67)),X0)
| p2(sK67)
| ~ r1(sK55,sK67) )
| ~ spl68_649
| ~ spl68_655 ),
inference(subsumption_resolution,[],[f5708,f5611]) ).
fof(f5611,plain,
( p2(sK48(sK56(sK67)))
| ~ spl68_649 ),
inference(avatar_component_clause,[],[f5609]) ).
fof(f5708,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK48(sK56(sK67)),X0)
| ~ p2(sK48(sK56(sK67)))
| p2(sK67)
| ~ r1(sK55,sK67) )
| ~ spl68_655 ),
inference(resolution,[],[f5698,f264]) ).
fof(f264,plain,
! [X3,X1,X4] :
( ~ r1(sK56(X1),X3)
| p2(X4)
| ~ r1(X3,X4)
| ~ p2(X3)
| p2(X1)
| ~ r1(sK55,X1) ),
inference(cnf_transformation,[],[f143]) ).
fof(f5698,plain,
( r1(sK56(sK67),sK48(sK56(sK67)))
| ~ spl68_655 ),
inference(avatar_component_clause,[],[f5696]) ).
fof(f5699,plain,
( spl68_655
| spl68_650
| spl68_22
| ~ spl68_23
| ~ spl68_39 ),
inference(avatar_split_clause,[],[f5694,f481,f365,f360,f5613,f5696]) ).
fof(f5694,plain,
( p2(sK56(sK67))
| r1(sK56(sK67),sK48(sK56(sK67)))
| spl68_22
| ~ spl68_23
| ~ spl68_39 ),
inference(subsumption_resolution,[],[f5693,f367]) ).
fof(f5693,plain,
( p2(sK56(sK67))
| r1(sK56(sK67),sK48(sK56(sK67)))
| ~ r1(sK55,sK67)
| spl68_22
| ~ spl68_23
| ~ spl68_39 ),
inference(subsumption_resolution,[],[f5688,f362]) ).
fof(f5688,plain,
( p2(sK56(sK67))
| r1(sK56(sK67),sK48(sK56(sK67)))
| p2(sK67)
| ~ r1(sK55,sK67)
| ~ spl68_23
| ~ spl68_39 ),
inference(resolution,[],[f5530,f262]) ).
fof(f5530,plain,
( ! [X0] :
( ~ r1(sK67,X0)
| p2(X0)
| r1(X0,sK48(X0)) )
| ~ spl68_23
| ~ spl68_39 ),
inference(resolution,[],[f5429,f367]) ).
fof(f5616,plain,
( spl68_649
| spl68_650
| spl68_22
| ~ spl68_23
| ~ spl68_39 ),
inference(avatar_split_clause,[],[f5607,f481,f365,f360,f5613,f5609]) ).
fof(f5607,plain,
( p2(sK56(sK67))
| p2(sK48(sK56(sK67)))
| spl68_22
| ~ spl68_23
| ~ spl68_39 ),
inference(subsumption_resolution,[],[f5606,f367]) ).
fof(f5606,plain,
( p2(sK56(sK67))
| p2(sK48(sK56(sK67)))
| ~ r1(sK55,sK67)
| spl68_22
| ~ spl68_23
| ~ spl68_39 ),
inference(subsumption_resolution,[],[f5591,f362]) ).
fof(f5591,plain,
( p2(sK56(sK67))
| p2(sK48(sK56(sK67)))
| p2(sK67)
| ~ r1(sK55,sK67)
| ~ spl68_23
| ~ spl68_39 ),
inference(resolution,[],[f5477,f262]) ).
fof(f5477,plain,
( ! [X0] :
( ~ r1(sK67,X0)
| p2(X0)
| p2(sK48(X0)) )
| ~ spl68_23
| ~ spl68_39 ),
inference(resolution,[],[f5430,f367]) ).
fof(f5420,plain,
( spl68_38
| spl68_39
| ~ spl68_13 ),
inference(avatar_split_clause,[],[f5417,f321,f481,f477]) ).
fof(f477,plain,
( spl68_38
<=> r1(sK55,sK32(sK55)) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_38])]) ).
fof(f321,plain,
( spl68_13
<=> sP14(sK55) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_13])]) ).
fof(f5417,plain,
( sP3(sK55)
| r1(sK55,sK32(sK55))
| ~ spl68_13 ),
inference(resolution,[],[f323,f176]) ).
fof(f176,plain,
! [X0] :
( ~ sP14(X0)
| sP3(X0)
| r1(X0,sK32(X0)) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ( sP4(X0)
& ( ( ! [X2] :
( ~ p2(X2)
| ! [X3] :
( p2(X3)
| ~ r1(X2,X3) )
| ~ r1(sK32(X0),X2) )
& ~ p2(sK32(X0))
& r1(X0,sK32(X0)) )
| sP3(X0) ) )
| ~ sP14(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK32])],[f64,f65]) ).
fof(f65,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ p2(X2)
| ! [X3] :
( p2(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& ~ p2(X1)
& r1(X0,X1) )
=> ( ! [X2] :
( ~ p2(X2)
| ! [X3] :
( p2(X3)
| ~ r1(X2,X3) )
| ~ r1(sK32(X0),X2) )
& ~ p2(sK32(X0))
& r1(X0,sK32(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
! [X0] :
( ( sP4(X0)
& ( ? [X1] :
( ! [X2] :
( ~ p2(X2)
| ! [X3] :
( p2(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& ~ p2(X1)
& r1(X0,X1) )
| sP3(X0) ) )
| ~ sP14(X0) ),
inference(rectify,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ( sP4(X0)
& ( ? [X65] :
( ! [X66] :
( ~ p2(X66)
| ! [X67] :
( p2(X67)
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
& ~ p2(X65)
& r1(X0,X65) )
| sP3(X0) ) )
| ~ sP14(X0) ),
inference(nnf_transformation,[],[f23]) ).
fof(f323,plain,
( sP14(sK55)
| ~ spl68_13 ),
inference(avatar_component_clause,[],[f321]) ).
fof(f5415,plain,
( ~ spl68_41
| ~ spl68_42
| ~ spl68_170
| spl68_173
| ~ spl68_628
| ~ spl68_629 ),
inference(avatar_contradiction_clause,[],[f5414]) ).
fof(f5414,plain,
( $false
| ~ spl68_41
| ~ spl68_42
| ~ spl68_170
| spl68_173
| ~ spl68_628
| ~ spl68_629 ),
inference(subsumption_resolution,[],[f5413,f3461]) ).
fof(f3461,plain,
( r1(sK59,sK44(sK59))
| ~ spl68_42 ),
inference(resolution,[],[f499,f212]) ).
fof(f212,plain,
! [X0] :
( ~ sP5(X0)
| r1(X0,sK44(X0)) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0] :
( ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK45(X0),X3) )
& ~ p2(sK45(X0))
& r1(sK44(X0),sK45(X0))
& r1(X0,sK44(X0)) )
| ~ sP5(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK44,sK45])],[f101,f103,f102]) ).
fof(f102,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
& r1(X0,X1) )
=> ( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(sK44(X0),X2) )
& r1(X0,sK44(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f103,plain,
! [X0] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(sK44(X0),X2) )
=> ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK45(X0),X3) )
& ~ p2(sK45(X0))
& r1(sK44(X0),sK45(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f101,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
& r1(X0,X1) )
| ~ sP5(X0) ),
inference(rectify,[],[f100]) ).
fof(f100,plain,
! [X33] :
( ? [X59] :
( ? [X60] :
( ! [X61] :
( ~ p2(X61)
| ! [X62] :
( p2(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
& ~ p2(X60)
& r1(X59,X60) )
& r1(X33,X59) )
| ~ sP5(X33) ),
inference(nnf_transformation,[],[f14]) ).
fof(f499,plain,
( sP5(sK59)
| ~ spl68_42 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f497,plain,
( spl68_42
<=> sP5(sK59) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_42])]) ).
fof(f5413,plain,
( ~ r1(sK59,sK44(sK59))
| ~ spl68_41
| ~ spl68_42
| ~ spl68_170
| spl68_173
| ~ spl68_628
| ~ spl68_629 ),
inference(resolution,[],[f5408,f494]) ).
fof(f494,plain,
( sP6(sK59)
| ~ spl68_41 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f5408,plain,
( ! [X0] :
( ~ sP6(X0)
| ~ r1(X0,sK44(sK59)) )
| ~ spl68_41
| ~ spl68_42
| ~ spl68_170
| spl68_173
| ~ spl68_628
| ~ spl68_629 ),
inference(subsumption_resolution,[],[f5407,f1510]) ).
fof(f1510,plain,
( ~ p2(sK44(sK59))
| spl68_173 ),
inference(avatar_component_clause,[],[f1508]) ).
fof(f1508,plain,
( spl68_173
<=> p2(sK44(sK59)) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_173])]) ).
fof(f5407,plain,
( ! [X0] :
( p2(sK44(sK59))
| ~ r1(X0,sK44(sK59))
| ~ sP6(X0) )
| ~ spl68_41
| ~ spl68_42
| ~ spl68_170
| spl68_173
| ~ spl68_628
| ~ spl68_629 ),
inference(resolution,[],[f5378,f210]) ).
fof(f210,plain,
! [X0,X1] :
( ~ p2(sK43(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0] :
( ! [X1] :
( ( p2(sK42(X1))
& ~ p2(sK43(X1))
& r1(sK42(X1),sK43(X1))
& r1(X1,sK42(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP6(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK42,sK43])],[f96,f98,f97]) ).
fof(f97,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK42(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK42(X1),X3) )
& r1(X1,sK42(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK42(X1),X3) )
=> ( ~ p2(sK43(X1))
& r1(sK42(X1),sK43(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f96,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP6(X0) ),
inference(rectify,[],[f95]) ).
fof(f95,plain,
! [X33] :
( ! [X56] :
( ? [X57] :
( p2(X57)
& ? [X58] :
( ~ p2(X58)
& r1(X57,X58) )
& r1(X56,X57) )
| p2(X56)
| ~ r1(X33,X56) )
| ~ sP6(X33) ),
inference(nnf_transformation,[],[f15]) ).
fof(f5378,plain,
( p2(sK43(sK44(sK59)))
| ~ spl68_41
| ~ spl68_42
| ~ spl68_170
| spl68_173
| ~ spl68_628
| ~ spl68_629 ),
inference(subsumption_resolution,[],[f5377,f1510]) ).
fof(f5377,plain,
( p2(sK43(sK44(sK59)))
| p2(sK44(sK59))
| ~ spl68_41
| ~ spl68_42
| ~ spl68_170
| ~ spl68_628
| ~ spl68_629 ),
inference(subsumption_resolution,[],[f5369,f3461]) ).
fof(f5369,plain,
( p2(sK43(sK44(sK59)))
| ~ r1(sK59,sK44(sK59))
| p2(sK44(sK59))
| ~ spl68_41
| ~ spl68_170
| ~ spl68_628
| ~ spl68_629 ),
inference(resolution,[],[f5356,f3452]) ).
fof(f3452,plain,
( ! [X0] :
( r1(sK42(X0),sK43(X0))
| ~ r1(sK59,X0)
| p2(X0) )
| ~ spl68_41 ),
inference(resolution,[],[f494,f209]) ).
fof(f209,plain,
! [X0,X1] :
( ~ sP6(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(sK42(X1),sK43(X1)) ),
inference(cnf_transformation,[],[f99]) ).
fof(f5356,plain,
( ! [X0] :
( ~ r1(sK42(sK44(sK59)),X0)
| p2(X0) )
| ~ spl68_170
| ~ spl68_628
| ~ spl68_629 ),
inference(subsumption_resolution,[],[f5343,f5333]) ).
fof(f5333,plain,
( p2(sK42(sK44(sK59)))
| ~ spl68_629 ),
inference(avatar_component_clause,[],[f5331]) ).
fof(f5331,plain,
( spl68_629
<=> p2(sK42(sK44(sK59))) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_629])]) ).
fof(f5343,plain,
( ! [X0] :
( ~ p2(sK42(sK44(sK59)))
| p2(X0)
| ~ r1(sK42(sK44(sK59)),X0) )
| ~ spl68_170
| ~ spl68_628 ),
inference(resolution,[],[f1497,f5328]) ).
fof(f5328,plain,
( r1(sK44(sK59),sK42(sK44(sK59)))
| ~ spl68_628 ),
inference(avatar_component_clause,[],[f5326]) ).
fof(f5326,plain,
( spl68_628
<=> r1(sK44(sK59),sK42(sK44(sK59))) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_628])]) ).
fof(f1497,plain,
( ! [X0,X1] :
( ~ r1(sK44(sK59),X0)
| ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1) )
| ~ spl68_170 ),
inference(avatar_component_clause,[],[f1496]) ).
fof(f1496,plain,
( spl68_170
<=> ! [X0,X1] :
( ~ r1(X0,X1)
| ~ p2(X0)
| p2(X1)
| ~ r1(sK44(sK59),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_170])]) ).
fof(f5334,plain,
( spl68_629
| spl68_173
| ~ spl68_41
| ~ spl68_42 ),
inference(avatar_split_clause,[],[f3475,f497,f492,f1508,f5331]) ).
fof(f3475,plain,
( p2(sK44(sK59))
| p2(sK42(sK44(sK59)))
| ~ spl68_41
| ~ spl68_42 ),
inference(resolution,[],[f3454,f3461]) ).
fof(f3454,plain,
( ! [X0] :
( ~ r1(sK59,X0)
| p2(X0)
| p2(sK42(X0)) )
| ~ spl68_41 ),
inference(resolution,[],[f494,f211]) ).
fof(f211,plain,
! [X0,X1] :
( ~ sP6(X0)
| p2(X1)
| ~ r1(X0,X1)
| p2(sK42(X1)) ),
inference(cnf_transformation,[],[f99]) ).
fof(f5329,plain,
( spl68_628
| spl68_173
| ~ spl68_41
| ~ spl68_42 ),
inference(avatar_split_clause,[],[f3493,f497,f492,f1508,f5326]) ).
fof(f3493,plain,
( p2(sK44(sK59))
| r1(sK44(sK59),sK42(sK44(sK59)))
| ~ spl68_41
| ~ spl68_42 ),
inference(resolution,[],[f3453,f3461]) ).
fof(f3453,plain,
( ! [X0] :
( ~ r1(sK59,X0)
| p2(X0)
| r1(X0,sK42(X0)) )
| ~ spl68_41 ),
inference(resolution,[],[f494,f208]) ).
fof(f208,plain,
! [X0,X1] :
( ~ sP6(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(X1,sK42(X1)) ),
inference(cnf_transformation,[],[f99]) ).
fof(f5309,plain,
( ~ spl68_173
| spl68_168
| ~ spl68_14
| ~ spl68_42
| spl68_169 ),
inference(avatar_split_clause,[],[f5308,f1492,f497,f325,f1488,f1508]) ).
fof(f1488,plain,
( spl68_168
<=> sP11(sK44(sK59)) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_168])]) ).
fof(f325,plain,
( spl68_14
<=> sP13(sK59) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_14])]) ).
fof(f1492,plain,
( spl68_169
<=> sP10(sK44(sK59)) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_169])]) ).
fof(f5308,plain,
( sP11(sK44(sK59))
| ~ p2(sK44(sK59))
| ~ spl68_14
| ~ spl68_42
| spl68_169 ),
inference(subsumption_resolution,[],[f3468,f1493]) ).
fof(f1493,plain,
( ~ sP10(sK44(sK59))
| spl68_169 ),
inference(avatar_component_clause,[],[f1492]) ).
fof(f3468,plain,
( sP11(sK44(sK59))
| sP10(sK44(sK59))
| ~ p2(sK44(sK59))
| ~ spl68_14
| ~ spl68_42 ),
inference(resolution,[],[f3461,f668]) ).
fof(f668,plain,
( ! [X0] :
( ~ r1(sK59,X0)
| sP11(X0)
| sP10(X0)
| ~ p2(X0) )
| ~ spl68_14 ),
inference(resolution,[],[f181,f327]) ).
fof(f327,plain,
( sP13(sK59)
| ~ spl68_14 ),
inference(avatar_component_clause,[],[f325]) ).
fof(f181,plain,
! [X0,X1] :
( ~ sP13(X0)
| sP10(X1)
| sP11(X1)
| ~ r1(X0,X1)
| ~ p2(X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ~ p2(X2)
| ! [X3] :
( p2(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& ~ p2(X1) )
| ( sP10(X1)
& sP9(X1) )
| sP11(X1)
| ~ r1(X0,X1) )
| ~ sP13(X0) ),
inference(rectify,[],[f67]) ).
fof(f67,plain,
! [X33] :
( ! [X34] :
( ( ! [X35] :
( ~ p2(X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
& ~ p2(X34) )
| ( sP10(X34)
& sP9(X34) )
| sP11(X34)
| ~ r1(X33,X34) )
| ~ sP13(X33) ),
inference(nnf_transformation,[],[f22]) ).
fof(f5307,plain,
( ~ spl68_42
| ~ spl68_168
| spl68_219
| ~ spl68_611 ),
inference(avatar_contradiction_clause,[],[f5306]) ).
fof(f5306,plain,
( $false
| ~ spl68_42
| ~ spl68_168
| spl68_219
| ~ spl68_611 ),
inference(subsumption_resolution,[],[f5305,f5136]) ).
fof(f5136,plain,
( sP8(sK45(sK59))
| ~ spl68_42
| ~ spl68_168 ),
inference(subsumption_resolution,[],[f5127,f499]) ).
fof(f5127,plain,
( sP8(sK45(sK59))
| ~ sP5(sK59)
| ~ spl68_168 ),
inference(resolution,[],[f5122,f213]) ).
fof(f213,plain,
! [X0] :
( r1(sK44(X0),sK45(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f5122,plain,
( ! [X0] :
( ~ r1(sK44(sK59),X0)
| sP8(X0) )
| ~ spl68_168 ),
inference(resolution,[],[f1490,f191]) ).
fof(f191,plain,
! [X0,X1] :
( ~ sP11(X0)
| ~ r1(X0,X1)
| sP8(X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ! [X1] :
( ( sP8(X1)
& ( ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK33(X1),X3) )
& ~ p2(sK33(X1))
& r1(X1,sK33(X1)) )
| sP7(X1) ) )
| ~ r1(X0,X1) )
| ~ sP11(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK33])],[f72,f73]) ).
fof(f73,plain,
! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
=> ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK33(X1),X3) )
& ~ p2(sK33(X1))
& r1(X1,sK33(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X0] :
( ! [X1] :
( ( sP8(X1)
& ( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| sP7(X1) ) )
| ~ r1(X0,X1) )
| ~ sP11(X0) ),
inference(rectify,[],[f71]) ).
fof(f71,plain,
! [X34] :
( ! [X44] :
( ( sP8(X44)
& ( ? [X47] :
( ! [X48] :
( ~ p2(X48)
| ! [X49] :
( p2(X49)
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
& ~ p2(X47)
& r1(X44,X47) )
| sP7(X44) ) )
| ~ r1(X34,X44) )
| ~ sP11(X34) ),
inference(nnf_transformation,[],[f20]) ).
fof(f1490,plain,
( sP11(sK44(sK59))
| ~ spl68_168 ),
inference(avatar_component_clause,[],[f1488]) ).
fof(f5305,plain,
( ~ sP8(sK45(sK59))
| ~ spl68_42
| ~ spl68_168
| spl68_219
| ~ spl68_611 ),
inference(subsumption_resolution,[],[f5304,f1822]) ).
fof(f1822,plain,
( ~ p2(sK45(sK59))
| spl68_219 ),
inference(avatar_component_clause,[],[f1820]) ).
fof(f1820,plain,
( spl68_219
<=> p2(sK45(sK59)) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_219])]) ).
fof(f5304,plain,
( p2(sK45(sK59))
| ~ sP8(sK45(sK59))
| ~ spl68_42
| ~ spl68_168
| spl68_219
| ~ spl68_611 ),
inference(resolution,[],[f5264,f202]) ).
fof(f202,plain,
! [X0] :
( ~ p2(sK39(X0))
| p2(X0)
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0] :
( ( p2(sK38(X0))
& ~ p2(sK39(X0))
& r1(sK38(X0),sK39(X0))
& r1(X0,sK38(X0)) )
| p2(X0)
| ~ sP8(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK38,sK39])],[f86,f88,f87]) ).
fof(f87,plain,
! [X0] :
( ? [X1] :
( p2(X1)
& ? [X2] :
( ~ p2(X2)
& r1(X1,X2) )
& r1(X0,X1) )
=> ( p2(sK38(X0))
& ? [X2] :
( ~ p2(X2)
& r1(sK38(X0),X2) )
& r1(X0,sK38(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
! [X0] :
( ? [X2] :
( ~ p2(X2)
& r1(sK38(X0),X2) )
=> ( ~ p2(sK39(X0))
& r1(sK38(X0),sK39(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
! [X0] :
( ? [X1] :
( p2(X1)
& ? [X2] :
( ~ p2(X2)
& r1(X1,X2) )
& r1(X0,X1) )
| p2(X0)
| ~ sP8(X0) ),
inference(rectify,[],[f85]) ).
fof(f85,plain,
! [X44] :
( ? [X45] :
( p2(X45)
& ? [X46] :
( ~ p2(X46)
& r1(X45,X46) )
& r1(X44,X45) )
| p2(X44)
| ~ sP8(X44) ),
inference(nnf_transformation,[],[f17]) ).
fof(f5264,plain,
( p2(sK39(sK45(sK59)))
| ~ spl68_42
| ~ spl68_168
| spl68_219
| ~ spl68_611 ),
inference(subsumption_resolution,[],[f5263,f5136]) ).
fof(f5263,plain,
( p2(sK39(sK45(sK59)))
| ~ sP8(sK45(sK59))
| spl68_219
| ~ spl68_611 ),
inference(subsumption_resolution,[],[f5255,f1822]) ).
fof(f5255,plain,
( p2(sK39(sK45(sK59)))
| p2(sK45(sK59))
| ~ sP8(sK45(sK59))
| ~ spl68_611 ),
inference(resolution,[],[f5168,f201]) ).
fof(f201,plain,
! [X0] :
( r1(sK38(X0),sK39(X0))
| p2(X0)
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f5168,plain,
( ! [X0] :
( ~ r1(sK38(sK45(sK59)),X0)
| p2(X0) )
| ~ spl68_611 ),
inference(avatar_component_clause,[],[f5167]) ).
fof(f5167,plain,
( spl68_611
<=> ! [X0] :
( ~ r1(sK38(sK45(sK59)),X0)
| p2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_611])]) ).
fof(f5173,plain,
( ~ spl68_42
| ~ spl68_168
| spl68_219
| spl68_610 ),
inference(avatar_contradiction_clause,[],[f5172]) ).
fof(f5172,plain,
( $false
| ~ spl68_42
| ~ spl68_168
| spl68_219
| spl68_610 ),
inference(subsumption_resolution,[],[f5171,f5136]) ).
fof(f5171,plain,
( ~ sP8(sK45(sK59))
| spl68_219
| spl68_610 ),
inference(subsumption_resolution,[],[f5170,f1822]) ).
fof(f5170,plain,
( p2(sK45(sK59))
| ~ sP8(sK45(sK59))
| spl68_610 ),
inference(resolution,[],[f5165,f203]) ).
fof(f203,plain,
! [X0] :
( p2(sK38(X0))
| p2(X0)
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f5165,plain,
( ~ p2(sK38(sK45(sK59)))
| spl68_610 ),
inference(avatar_component_clause,[],[f5163]) ).
fof(f5163,plain,
( spl68_610
<=> p2(sK38(sK45(sK59))) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_610])]) ).
fof(f5169,plain,
( ~ spl68_610
| spl68_611
| ~ spl68_42
| ~ spl68_168
| spl68_219 ),
inference(avatar_split_clause,[],[f5161,f1820,f1488,f497,f5167,f5163]) ).
fof(f5161,plain,
( ! [X0] :
( ~ r1(sK38(sK45(sK59)),X0)
| p2(X0)
| ~ p2(sK38(sK45(sK59))) )
| ~ spl68_42
| ~ spl68_168
| spl68_219 ),
inference(resolution,[],[f5138,f3460]) ).
fof(f3460,plain,
( ! [X0,X1] :
( ~ r1(sK45(sK59),X1)
| ~ r1(X1,X0)
| p2(X0)
| ~ p2(X1) )
| ~ spl68_42 ),
inference(resolution,[],[f499,f215]) ).
fof(f215,plain,
! [X3,X0,X4] :
( ~ sP5(X0)
| p2(X4)
| ~ r1(X3,X4)
| ~ r1(sK45(X0),X3)
| ~ p2(X3) ),
inference(cnf_transformation,[],[f104]) ).
fof(f5138,plain,
( r1(sK45(sK59),sK38(sK45(sK59)))
| ~ spl68_42
| ~ spl68_168
| spl68_219 ),
inference(subsumption_resolution,[],[f5137,f1822]) ).
fof(f5137,plain,
( p2(sK45(sK59))
| r1(sK45(sK59),sK38(sK45(sK59)))
| ~ spl68_42
| ~ spl68_168 ),
inference(resolution,[],[f5136,f200]) ).
fof(f200,plain,
! [X0] :
( ~ sP8(X0)
| p2(X0)
| r1(X0,sK38(X0)) ),
inference(cnf_transformation,[],[f89]) ).
fof(f5117,plain,
( ~ spl68_169
| spl68_219
| ~ spl68_515
| ~ spl68_516 ),
inference(avatar_split_clause,[],[f5111,f4343,f4339,f1820,f1492]) ).
fof(f4339,plain,
( spl68_515
<=> r1(sK44(sK59),sK45(sK59)) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_515])]) ).
fof(f4343,plain,
( spl68_516
<=> p2(sK35(sK45(sK59))) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_516])]) ).
fof(f5111,plain,
( ~ sP10(sK44(sK59))
| spl68_219
| ~ spl68_515
| ~ spl68_516 ),
inference(resolution,[],[f4438,f4340]) ).
fof(f4340,plain,
( r1(sK44(sK59),sK45(sK59))
| ~ spl68_515 ),
inference(avatar_component_clause,[],[f4339]) ).
fof(f4438,plain,
( ! [X0] :
( ~ r1(X0,sK45(sK59))
| ~ sP10(X0) )
| spl68_219
| ~ spl68_516 ),
inference(subsumption_resolution,[],[f4437,f1822]) ).
fof(f4437,plain,
( ! [X0] :
( p2(sK45(sK59))
| ~ r1(X0,sK45(sK59))
| ~ sP10(X0) )
| ~ spl68_516 ),
inference(resolution,[],[f4345,f194]) ).
fof(f194,plain,
! [X0,X1] :
( ~ p2(sK35(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ! [X1] :
( ( p2(sK34(X1))
& ~ p2(sK35(X1))
& r1(sK34(X1),sK35(X1))
& r1(X1,sK34(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP10(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK34,sK35])],[f76,f78,f77]) ).
fof(f77,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK34(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK34(X1),X3) )
& r1(X1,sK34(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK34(X1),X3) )
=> ( ~ p2(sK35(X1))
& r1(sK34(X1),sK35(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP10(X0) ),
inference(rectify,[],[f75]) ).
fof(f75,plain,
! [X34] :
( ! [X37] :
( ? [X38] :
( p2(X38)
& ? [X39] :
( ~ p2(X39)
& r1(X38,X39) )
& r1(X37,X38) )
| p2(X37)
| ~ r1(X34,X37) )
| ~ sP10(X34) ),
inference(nnf_transformation,[],[f19]) ).
fof(f4345,plain,
( p2(sK35(sK45(sK59)))
| ~ spl68_516 ),
inference(avatar_component_clause,[],[f4343]) ).
fof(f4907,plain,
( spl68_168
| spl68_169
| spl68_170
| ~ spl68_14
| ~ spl68_42 ),
inference(avatar_split_clause,[],[f3470,f497,f325,f1496,f1492,f1488]) ).
fof(f3470,plain,
( ! [X0,X1] :
( ~ r1(X0,X1)
| ~ r1(sK44(sK59),X0)
| sP10(sK44(sK59))
| sP11(sK44(sK59))
| p2(X1)
| ~ p2(X0) )
| ~ spl68_14
| ~ spl68_42 ),
inference(resolution,[],[f3461,f990]) ).
fof(f990,plain,
( ! [X2,X0,X1] :
( ~ r1(sK59,X2)
| ~ r1(X1,X0)
| ~ r1(X2,X1)
| sP10(X2)
| sP11(X2)
| p2(X0)
| ~ p2(X1) )
| ~ spl68_14 ),
inference(resolution,[],[f183,f327]) ).
fof(f183,plain,
! [X2,X3,X0,X1] :
( ~ sP13(X0)
| p2(X3)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| sP10(X1)
| sP11(X1)
| ~ r1(X0,X1)
| ~ p2(X2) ),
inference(cnf_transformation,[],[f68]) ).
fof(f4426,plain,
( ~ spl68_42
| spl68_515 ),
inference(avatar_contradiction_clause,[],[f4425]) ).
fof(f4425,plain,
( $false
| ~ spl68_42
| spl68_515 ),
inference(subsumption_resolution,[],[f4424,f499]) ).
fof(f4424,plain,
( ~ sP5(sK59)
| spl68_515 ),
inference(resolution,[],[f4341,f213]) ).
fof(f4341,plain,
( ~ r1(sK44(sK59),sK45(sK59))
| spl68_515 ),
inference(avatar_component_clause,[],[f4339]) ).
fof(f4346,plain,
( ~ spl68_515
| spl68_516
| ~ spl68_42
| ~ spl68_169
| spl68_219 ),
inference(avatar_split_clause,[],[f4337,f1820,f1492,f497,f4343,f4339]) ).
fof(f4337,plain,
( p2(sK35(sK45(sK59)))
| ~ r1(sK44(sK59),sK45(sK59))
| ~ spl68_42
| ~ spl68_169
| spl68_219 ),
inference(subsumption_resolution,[],[f4328,f1822]) ).
fof(f4328,plain,
( p2(sK35(sK45(sK59)))
| ~ r1(sK44(sK59),sK45(sK59))
| p2(sK45(sK59))
| ~ spl68_42
| ~ spl68_169
| spl68_219 ),
inference(resolution,[],[f4062,f2112]) ).
fof(f2112,plain,
( ! [X0] :
( r1(sK34(X0),sK35(X0))
| ~ r1(sK44(sK59),X0)
| p2(X0) )
| ~ spl68_169 ),
inference(resolution,[],[f1494,f193]) ).
fof(f193,plain,
! [X0,X1] :
( ~ sP10(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(sK34(X1),sK35(X1)) ),
inference(cnf_transformation,[],[f79]) ).
fof(f1494,plain,
( sP10(sK44(sK59))
| ~ spl68_169 ),
inference(avatar_component_clause,[],[f1492]) ).
fof(f4062,plain,
( ! [X0] :
( ~ r1(sK34(sK45(sK59)),X0)
| p2(X0) )
| ~ spl68_42
| ~ spl68_169
| spl68_219 ),
inference(subsumption_resolution,[],[f4061,f3946]) ).
fof(f3946,plain,
( p2(sK34(sK45(sK59)))
| ~ spl68_42
| ~ spl68_169
| spl68_219 ),
inference(subsumption_resolution,[],[f3945,f499]) ).
fof(f3945,plain,
( p2(sK34(sK45(sK59)))
| ~ sP5(sK59)
| ~ spl68_169
| spl68_219 ),
inference(subsumption_resolution,[],[f3936,f1822]) ).
fof(f3936,plain,
( p2(sK45(sK59))
| p2(sK34(sK45(sK59)))
| ~ sP5(sK59)
| ~ spl68_169 ),
inference(resolution,[],[f2114,f213]) ).
fof(f2114,plain,
( ! [X0] :
( ~ r1(sK44(sK59),X0)
| p2(X0)
| p2(sK34(X0)) )
| ~ spl68_169 ),
inference(resolution,[],[f1494,f195]) ).
fof(f195,plain,
! [X0,X1] :
( ~ sP10(X0)
| p2(X1)
| ~ r1(X0,X1)
| p2(sK34(X1)) ),
inference(cnf_transformation,[],[f79]) ).
fof(f4061,plain,
( ! [X0] :
( ~ r1(sK34(sK45(sK59)),X0)
| p2(X0)
| ~ p2(sK34(sK45(sK59))) )
| ~ spl68_42
| ~ spl68_169
| spl68_219 ),
inference(resolution,[],[f3967,f3460]) ).
fof(f3967,plain,
( r1(sK45(sK59),sK34(sK45(sK59)))
| ~ spl68_42
| ~ spl68_169
| spl68_219 ),
inference(subsumption_resolution,[],[f3966,f499]) ).
fof(f3966,plain,
( r1(sK45(sK59),sK34(sK45(sK59)))
| ~ sP5(sK59)
| ~ spl68_169
| spl68_219 ),
inference(subsumption_resolution,[],[f3957,f1822]) ).
fof(f3957,plain,
( p2(sK45(sK59))
| r1(sK45(sK59),sK34(sK45(sK59)))
| ~ sP5(sK59)
| ~ spl68_169 ),
inference(resolution,[],[f2113,f213]) ).
fof(f2113,plain,
( ! [X0] :
( ~ r1(sK44(sK59),X0)
| p2(X0)
| r1(X0,sK34(X0)) )
| ~ spl68_169 ),
inference(resolution,[],[f1494,f192]) ).
fof(f192,plain,
! [X0,X1] :
( ~ sP10(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(X1,sK34(X1)) ),
inference(cnf_transformation,[],[f79]) ).
fof(f4266,plain,
( ~ spl68_41
| spl68_238
| ~ spl68_453
| ~ spl68_454 ),
inference(avatar_contradiction_clause,[],[f4265]) ).
fof(f4265,plain,
( $false
| ~ spl68_41
| spl68_238
| ~ spl68_453
| ~ spl68_454 ),
inference(subsumption_resolution,[],[f4264,f3897]) ).
fof(f3897,plain,
( r1(sK59,sK56(sK59))
| ~ spl68_453 ),
inference(avatar_component_clause,[],[f3896]) ).
fof(f3896,plain,
( spl68_453
<=> r1(sK59,sK56(sK59)) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_453])]) ).
fof(f4264,plain,
( ~ r1(sK59,sK56(sK59))
| ~ spl68_41
| spl68_238
| ~ spl68_454 ),
inference(resolution,[],[f4052,f494]) ).
fof(f4052,plain,
( ! [X0] :
( ~ sP6(X0)
| ~ r1(X0,sK56(sK59)) )
| spl68_238
| ~ spl68_454 ),
inference(subsumption_resolution,[],[f4051,f1939]) ).
fof(f1939,plain,
( ~ p2(sK56(sK59))
| spl68_238 ),
inference(avatar_component_clause,[],[f1938]) ).
fof(f1938,plain,
( spl68_238
<=> p2(sK56(sK59)) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_238])]) ).
fof(f4051,plain,
( ! [X0] :
( p2(sK56(sK59))
| ~ r1(X0,sK56(sK59))
| ~ sP6(X0) )
| ~ spl68_454 ),
inference(resolution,[],[f3902,f210]) ).
fof(f3902,plain,
( p2(sK43(sK56(sK59)))
| ~ spl68_454 ),
inference(avatar_component_clause,[],[f3900]) ).
fof(f3900,plain,
( spl68_454
<=> p2(sK43(sK56(sK59))) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_454])]) ).
fof(f3935,plain,
( ~ spl68_16
| spl68_40
| spl68_453 ),
inference(avatar_contradiction_clause,[],[f3934]) ).
fof(f3934,plain,
( $false
| ~ spl68_16
| spl68_40
| spl68_453 ),
inference(subsumption_resolution,[],[f3933,f337]) ).
fof(f3933,plain,
( ~ r1(sK55,sK59)
| spl68_40
| spl68_453 ),
inference(subsumption_resolution,[],[f3932,f490]) ).
fof(f3932,plain,
( p2(sK59)
| ~ r1(sK55,sK59)
| spl68_453 ),
inference(resolution,[],[f3898,f262]) ).
fof(f3898,plain,
( ~ r1(sK59,sK56(sK59))
| spl68_453 ),
inference(avatar_component_clause,[],[f3896]) ).
fof(f3903,plain,
( ~ spl68_453
| spl68_454
| ~ spl68_16
| spl68_40
| ~ spl68_41
| spl68_238
| ~ spl68_417
| ~ spl68_418 ),
inference(avatar_split_clause,[],[f3894,f3505,f3486,f1938,f492,f488,f335,f3900,f3896]) ).
fof(f3486,plain,
( spl68_417
<=> p2(sK42(sK56(sK59))) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_417])]) ).
fof(f3505,plain,
( spl68_418
<=> r1(sK56(sK59),sK42(sK56(sK59))) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_418])]) ).
fof(f3894,plain,
( p2(sK43(sK56(sK59)))
| ~ r1(sK59,sK56(sK59))
| ~ spl68_16
| spl68_40
| ~ spl68_41
| spl68_238
| ~ spl68_417
| ~ spl68_418 ),
inference(subsumption_resolution,[],[f3886,f1939]) ).
fof(f3886,plain,
( p2(sK43(sK56(sK59)))
| ~ r1(sK59,sK56(sK59))
| p2(sK56(sK59))
| ~ spl68_16
| spl68_40
| ~ spl68_41
| ~ spl68_417
| ~ spl68_418 ),
inference(resolution,[],[f3590,f3452]) ).
fof(f3590,plain,
( ! [X0] :
( ~ r1(sK42(sK56(sK59)),X0)
| p2(X0) )
| ~ spl68_16
| spl68_40
| ~ spl68_417
| ~ spl68_418 ),
inference(subsumption_resolution,[],[f3589,f337]) ).
fof(f3589,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK42(sK56(sK59)),X0)
| ~ r1(sK55,sK59) )
| spl68_40
| ~ spl68_417
| ~ spl68_418 ),
inference(subsumption_resolution,[],[f3588,f490]) ).
fof(f3588,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK42(sK56(sK59)),X0)
| p2(sK59)
| ~ r1(sK55,sK59) )
| ~ spl68_417
| ~ spl68_418 ),
inference(subsumption_resolution,[],[f3587,f3488]) ).
fof(f3488,plain,
( p2(sK42(sK56(sK59)))
| ~ spl68_417 ),
inference(avatar_component_clause,[],[f3486]) ).
fof(f3587,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK42(sK56(sK59)),X0)
| ~ p2(sK42(sK56(sK59)))
| p2(sK59)
| ~ r1(sK55,sK59) )
| ~ spl68_418 ),
inference(resolution,[],[f3507,f264]) ).
fof(f3507,plain,
( r1(sK56(sK59),sK42(sK56(sK59)))
| ~ spl68_418 ),
inference(avatar_component_clause,[],[f3505]) ).
fof(f3514,plain,
( ~ spl68_16
| spl68_40
| ~ spl68_238 ),
inference(avatar_contradiction_clause,[],[f3513]) ).
fof(f3513,plain,
( $false
| ~ spl68_16
| spl68_40
| ~ spl68_238 ),
inference(subsumption_resolution,[],[f3512,f337]) ).
fof(f3512,plain,
( ~ r1(sK55,sK59)
| spl68_40
| ~ spl68_238 ),
inference(subsumption_resolution,[],[f3511,f490]) ).
fof(f3511,plain,
( p2(sK59)
| ~ r1(sK55,sK59)
| ~ spl68_238 ),
inference(resolution,[],[f1940,f263]) ).
fof(f1940,plain,
( p2(sK56(sK59))
| ~ spl68_238 ),
inference(avatar_component_clause,[],[f1938]) ).
fof(f3508,plain,
( spl68_418
| spl68_238
| ~ spl68_16
| spl68_40
| ~ spl68_41 ),
inference(avatar_split_clause,[],[f3503,f492,f488,f335,f1938,f3505]) ).
fof(f3503,plain,
( p2(sK56(sK59))
| r1(sK56(sK59),sK42(sK56(sK59)))
| ~ spl68_16
| spl68_40
| ~ spl68_41 ),
inference(subsumption_resolution,[],[f3502,f337]) ).
fof(f3502,plain,
( p2(sK56(sK59))
| r1(sK56(sK59),sK42(sK56(sK59)))
| ~ r1(sK55,sK59)
| spl68_40
| ~ spl68_41 ),
inference(subsumption_resolution,[],[f3497,f490]) ).
fof(f3497,plain,
( p2(sK56(sK59))
| r1(sK56(sK59),sK42(sK56(sK59)))
| p2(sK59)
| ~ r1(sK55,sK59)
| ~ spl68_41 ),
inference(resolution,[],[f3453,f262]) ).
fof(f3489,plain,
( spl68_417
| spl68_238
| ~ spl68_16
| spl68_40
| ~ spl68_41 ),
inference(avatar_split_clause,[],[f3484,f492,f488,f335,f1938,f3486]) ).
fof(f3484,plain,
( p2(sK56(sK59))
| p2(sK42(sK56(sK59)))
| ~ spl68_16
| spl68_40
| ~ spl68_41 ),
inference(subsumption_resolution,[],[f3483,f337]) ).
fof(f3483,plain,
( p2(sK56(sK59))
| p2(sK42(sK56(sK59)))
| ~ r1(sK55,sK59)
| spl68_40
| ~ spl68_41 ),
inference(subsumption_resolution,[],[f3479,f490]) ).
fof(f3479,plain,
( p2(sK56(sK59))
| p2(sK42(sK56(sK59)))
| p2(sK59)
| ~ r1(sK55,sK59)
| ~ spl68_41 ),
inference(resolution,[],[f3454,f262]) ).
fof(f3459,plain,
( spl68_85
| ~ spl68_16
| ~ spl68_18
| spl68_40 ),
inference(avatar_split_clause,[],[f3458,f488,f343,f335,f832]) ).
fof(f832,plain,
( spl68_85
<=> p2(sK51(sK59)) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_85])]) ).
fof(f343,plain,
( spl68_18
<=> sP2(sK55) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_18])]) ).
fof(f3458,plain,
( p2(sK51(sK59))
| ~ spl68_16
| ~ spl68_18
| spl68_40 ),
inference(subsumption_resolution,[],[f3457,f490]) ).
fof(f3457,plain,
( p2(sK59)
| p2(sK51(sK59))
| ~ spl68_16
| ~ spl68_18 ),
inference(resolution,[],[f337,f630]) ).
fof(f630,plain,
( ! [X0] :
( ~ r1(sK55,X0)
| p2(X0)
| p2(sK51(X0)) )
| ~ spl68_18 ),
inference(resolution,[],[f629,f230]) ).
fof(f230,plain,
! [X0,X1] :
( ~ sP1(X0)
| p2(X1)
| ~ r1(X0,X1)
| p2(sK51(X1)) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ! [X1] :
( ( p2(sK51(X1))
& ~ p2(sK52(X1))
& r1(sK51(X1),sK52(X1))
& r1(X1,sK51(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK51,sK52])],[f120,f122,f121]) ).
fof(f121,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK51(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK51(X1),X3) )
& r1(X1,sK51(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f122,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK51(X1),X3) )
=> ( ~ p2(sK52(X1))
& r1(sK51(X1),sK52(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP1(X0) ),
inference(rectify,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ! [X76] :
( ? [X77] :
( p2(X77)
& ? [X78] :
( ~ p2(X78)
& r1(X77,X78) )
& r1(X76,X77) )
| p2(X76)
| ~ r1(X0,X76) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f10]) ).
fof(f629,plain,
( sP1(sK55)
| ~ spl68_18 ),
inference(resolution,[],[f345,f226]) ).
fof(f226,plain,
! [X0] :
( ~ sP2(X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0] :
( ( sP1(X0)
& ~ p2(sK50(X0))
& r1(X0,sK50(X0)) )
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK50])],[f116,f117]) ).
fof(f117,plain,
! [X0] :
( ? [X1] :
( ~ p2(X1)
& r1(X0,X1) )
=> ( ~ p2(sK50(X0))
& r1(X0,sK50(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f116,plain,
! [X0] :
( ( sP1(X0)
& ? [X1] :
( ~ p2(X1)
& r1(X0,X1) ) )
| ~ sP2(X0) ),
inference(rectify,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ( sP1(X0)
& ? [X79] :
( ~ p2(X79)
& r1(X0,X79) ) )
| ~ sP2(X0) ),
inference(nnf_transformation,[],[f11]) ).
fof(f345,plain,
( sP2(sK55)
| ~ spl68_18 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f3400,plain,
( ~ spl68_39
| ~ spl68_138
| spl68_290
| ~ spl68_340
| ~ spl68_341 ),
inference(avatar_contradiction_clause,[],[f3399]) ).
fof(f3399,plain,
( $false
| ~ spl68_39
| ~ spl68_138
| spl68_290
| ~ spl68_340
| ~ spl68_341 ),
inference(subsumption_resolution,[],[f3394,f1280]) ).
fof(f3394,plain,
( ~ r1(sK55,sK50(sK55))
| ~ spl68_39
| spl68_290
| ~ spl68_340
| ~ spl68_341 ),
inference(resolution,[],[f3293,f2898]) ).
fof(f2898,plain,
( r1(sK50(sK55),sK56(sK50(sK55)))
| ~ spl68_341 ),
inference(avatar_component_clause,[],[f2897]) ).
fof(f2897,plain,
( spl68_341
<=> r1(sK50(sK55),sK56(sK50(sK55))) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_341])]) ).
fof(f3293,plain,
( ! [X0] :
( ~ r1(X0,sK56(sK50(sK55)))
| ~ r1(sK55,X0) )
| ~ spl68_39
| spl68_290
| ~ spl68_340 ),
inference(resolution,[],[f3107,f483]) ).
fof(f3107,plain,
( ! [X0,X1] :
( ~ sP3(X1)
| ~ r1(X1,X0)
| ~ r1(X0,sK56(sK50(sK55))) )
| spl68_290
| ~ spl68_340 ),
inference(subsumption_resolution,[],[f3106,f2482]) ).
fof(f3106,plain,
( ! [X0,X1] :
( p2(sK56(sK50(sK55)))
| ~ r1(X0,sK56(sK50(sK55)))
| ~ r1(X1,X0)
| ~ sP3(X1) )
| ~ spl68_340 ),
inference(resolution,[],[f2893,f222]) ).
fof(f2893,plain,
( p2(sK49(sK56(sK50(sK55))))
| ~ spl68_340 ),
inference(avatar_component_clause,[],[f2891]) ).
fof(f2891,plain,
( spl68_340
<=> p2(sK49(sK56(sK50(sK55)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_340])]) ).
fof(f3105,plain,
( spl68_57
| ~ spl68_138
| spl68_341 ),
inference(avatar_contradiction_clause,[],[f3104]) ).
fof(f3104,plain,
( $false
| spl68_57
| ~ spl68_138
| spl68_341 ),
inference(subsumption_resolution,[],[f3103,f1280]) ).
fof(f3103,plain,
( ~ r1(sK55,sK50(sK55))
| spl68_57
| spl68_341 ),
inference(subsumption_resolution,[],[f3102,f598]) ).
fof(f598,plain,
( ~ p2(sK50(sK55))
| spl68_57 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f3102,plain,
( p2(sK50(sK55))
| ~ r1(sK55,sK50(sK55))
| spl68_341 ),
inference(resolution,[],[f2899,f262]) ).
fof(f2899,plain,
( ~ r1(sK50(sK55),sK56(sK50(sK55)))
| spl68_341 ),
inference(avatar_component_clause,[],[f2897]) ).
fof(f2900,plain,
( ~ spl68_341
| spl68_340
| ~ spl68_18
| ~ spl68_39
| spl68_57
| ~ spl68_138
| ~ spl68_139
| spl68_290
| ~ spl68_292 ),
inference(avatar_split_clause,[],[f2895,f2563,f2481,f1283,f1279,f597,f481,f343,f2891,f2897]) ).
fof(f2895,plain,
( p2(sK49(sK56(sK50(sK55))))
| ~ r1(sK50(sK55),sK56(sK50(sK55)))
| ~ spl68_18
| ~ spl68_39
| spl68_57
| ~ spl68_138
| ~ spl68_139
| spl68_290
| ~ spl68_292 ),
inference(subsumption_resolution,[],[f2874,f2482]) ).
fof(f2874,plain,
( p2(sK49(sK56(sK50(sK55))))
| p2(sK56(sK50(sK55)))
| ~ r1(sK50(sK55),sK56(sK50(sK55)))
| ~ spl68_18
| ~ spl68_39
| spl68_57
| ~ spl68_138
| ~ spl68_139
| ~ spl68_292 ),
inference(resolution,[],[f2681,f2289]) ).
fof(f2289,plain,
( ! [X0] :
( r1(sK48(X0),sK49(X0))
| p2(X0)
| ~ r1(sK50(sK55),X0) )
| ~ spl68_18
| ~ spl68_39 ),
inference(subsumption_resolution,[],[f2283,f345]) ).
fof(f2283,plain,
( ! [X0] :
( ~ r1(sK50(sK55),X0)
| p2(X0)
| r1(sK48(X0),sK49(X0))
| ~ sP2(sK55) )
| ~ spl68_39 ),
inference(resolution,[],[f2197,f224]) ).
fof(f224,plain,
! [X0] :
( r1(X0,sK50(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f2197,plain,
( ! [X0,X1] :
( ~ r1(sK55,X1)
| ~ r1(X1,X0)
| p2(X0)
| r1(sK48(X0),sK49(X0)) )
| ~ spl68_39 ),
inference(resolution,[],[f483,f221]) ).
fof(f2681,plain,
( ! [X0] :
( ~ r1(sK48(sK56(sK50(sK55))),X0)
| p2(X0) )
| spl68_57
| ~ spl68_138
| ~ spl68_139
| ~ spl68_292 ),
inference(subsumption_resolution,[],[f2680,f1280]) ).
fof(f2680,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK48(sK56(sK50(sK55))),X0)
| ~ r1(sK55,sK50(sK55)) )
| spl68_57
| ~ spl68_139
| ~ spl68_292 ),
inference(subsumption_resolution,[],[f2679,f598]) ).
fof(f2679,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK48(sK56(sK50(sK55))),X0)
| p2(sK50(sK55))
| ~ r1(sK55,sK50(sK55)) )
| ~ spl68_139
| ~ spl68_292 ),
inference(subsumption_resolution,[],[f2678,f1285]) ).
fof(f1285,plain,
( p2(sK48(sK56(sK50(sK55))))
| ~ spl68_139 ),
inference(avatar_component_clause,[],[f1283]) ).
fof(f2678,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK48(sK56(sK50(sK55))),X0)
| ~ p2(sK48(sK56(sK50(sK55))))
| p2(sK50(sK55))
| ~ r1(sK55,sK50(sK55)) )
| ~ spl68_292 ),
inference(resolution,[],[f2565,f264]) ).
fof(f2565,plain,
( r1(sK56(sK50(sK55)),sK48(sK56(sK50(sK55))))
| ~ spl68_292 ),
inference(avatar_component_clause,[],[f2563]) ).
fof(f2576,plain,
( spl68_57
| ~ spl68_138
| ~ spl68_290 ),
inference(avatar_contradiction_clause,[],[f2575]) ).
fof(f2575,plain,
( $false
| spl68_57
| ~ spl68_138
| ~ spl68_290 ),
inference(subsumption_resolution,[],[f2574,f1280]) ).
fof(f2574,plain,
( ~ r1(sK55,sK50(sK55))
| spl68_57
| ~ spl68_290 ),
inference(subsumption_resolution,[],[f2573,f598]) ).
fof(f2573,plain,
( p2(sK50(sK55))
| ~ r1(sK55,sK50(sK55))
| ~ spl68_290 ),
inference(resolution,[],[f2483,f263]) ).
fof(f2483,plain,
( p2(sK56(sK50(sK55)))
| ~ spl68_290 ),
inference(avatar_component_clause,[],[f2481]) ).
fof(f2161,plain,
( ~ spl68_42
| ~ spl68_219 ),
inference(avatar_contradiction_clause,[],[f2160]) ).
fof(f2160,plain,
( $false
| ~ spl68_42
| ~ spl68_219 ),
inference(subsumption_resolution,[],[f2159,f499]) ).
fof(f2159,plain,
( ~ sP5(sK59)
| ~ spl68_219 ),
inference(resolution,[],[f1821,f214]) ).
fof(f214,plain,
! [X0] :
( ~ p2(sK45(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f1821,plain,
( p2(sK45(sK59))
| ~ spl68_219 ),
inference(avatar_component_clause,[],[f1820]) ).
fof(f2086,plain,
( ~ spl68_16
| ~ spl68_18
| spl68_40
| ~ spl68_218 ),
inference(avatar_contradiction_clause,[],[f2085]) ).
fof(f2085,plain,
( $false
| ~ spl68_16
| ~ spl68_18
| spl68_40
| ~ spl68_218 ),
inference(subsumption_resolution,[],[f2084,f337]) ).
fof(f2084,plain,
( ~ r1(sK55,sK59)
| ~ spl68_16
| ~ spl68_18
| spl68_40
| ~ spl68_218 ),
inference(resolution,[],[f1916,f629]) ).
fof(f1916,plain,
( ! [X0] :
( ~ sP1(X0)
| ~ r1(X0,sK59) )
| ~ spl68_16
| ~ spl68_18
| spl68_40
| ~ spl68_218 ),
inference(subsumption_resolution,[],[f1915,f490]) ).
fof(f1915,plain,
( ! [X0] :
( p2(sK59)
| ~ r1(X0,sK59)
| ~ sP1(X0) )
| ~ spl68_16
| ~ spl68_18
| spl68_40
| ~ spl68_218 ),
inference(resolution,[],[f1886,f229]) ).
fof(f229,plain,
! [X0,X1] :
( ~ p2(sK52(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f1886,plain,
( p2(sK52(sK59))
| ~ spl68_16
| ~ spl68_18
| spl68_40
| ~ spl68_218 ),
inference(subsumption_resolution,[],[f1885,f490]) ).
fof(f1885,plain,
( p2(sK52(sK59))
| p2(sK59)
| ~ spl68_16
| ~ spl68_18
| ~ spl68_218 ),
inference(subsumption_resolution,[],[f1877,f337]) ).
fof(f1877,plain,
( p2(sK52(sK59))
| ~ r1(sK55,sK59)
| p2(sK59)
| ~ spl68_18
| ~ spl68_218 ),
inference(resolution,[],[f1807,f709]) ).
fof(f709,plain,
( ! [X0] :
( r1(sK51(X0),sK52(X0))
| ~ r1(sK55,X0)
| p2(X0) )
| ~ spl68_18 ),
inference(resolution,[],[f228,f629]) ).
fof(f228,plain,
! [X0,X1] :
( ~ sP1(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(sK51(X1),sK52(X1)) ),
inference(cnf_transformation,[],[f123]) ).
fof(f1807,plain,
( ! [X0] :
( ~ r1(sK51(sK59),X0)
| p2(X0) )
| ~ spl68_218 ),
inference(avatar_component_clause,[],[f1806]) ).
fof(f1806,plain,
( spl68_218
<=> ! [X0] :
( p2(X0)
| ~ r1(sK51(sK59),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_218])]) ).
fof(f1808,plain,
( spl68_218
| ~ spl68_85
| ~ spl68_16
| ~ spl68_18
| spl68_40
| ~ spl68_68 ),
inference(avatar_split_clause,[],[f1804,f726,f488,f343,f335,f832,f1806]) ).
fof(f1804,plain,
( ! [X0] :
( ~ p2(sK51(sK59))
| p2(X0)
| ~ r1(sK51(sK59),X0) )
| ~ spl68_16
| ~ spl68_18
| spl68_40
| ~ spl68_68 ),
inference(subsumption_resolution,[],[f1803,f490]) ).
fof(f1803,plain,
( ! [X0] :
( ~ p2(sK51(sK59))
| p2(X0)
| ~ r1(sK51(sK59),X0)
| p2(sK59) )
| ~ spl68_16
| ~ spl68_18
| ~ spl68_68 ),
inference(subsumption_resolution,[],[f1794,f337]) ).
fof(f1794,plain,
( ! [X0] :
( ~ p2(sK51(sK59))
| p2(X0)
| ~ r1(sK51(sK59),X0)
| ~ r1(sK55,sK59)
| p2(sK59) )
| ~ spl68_18
| ~ spl68_68 ),
inference(resolution,[],[f727,f683]) ).
fof(f683,plain,
( ! [X0] :
( r1(X0,sK51(X0))
| ~ r1(sK55,X0)
| p2(X0) )
| ~ spl68_18 ),
inference(resolution,[],[f227,f629]) ).
fof(f227,plain,
! [X0,X1] :
( ~ sP1(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(X1,sK51(X1)) ),
inference(cnf_transformation,[],[f123]) ).
fof(f1428,plain,
( ~ spl68_18
| ~ spl68_57 ),
inference(avatar_contradiction_clause,[],[f1427]) ).
fof(f1427,plain,
( $false
| ~ spl68_18
| ~ spl68_57 ),
inference(subsumption_resolution,[],[f1426,f345]) ).
fof(f1426,plain,
( ~ sP2(sK55)
| ~ spl68_57 ),
inference(resolution,[],[f599,f225]) ).
fof(f225,plain,
! [X0] :
( ~ p2(sK50(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f599,plain,
( p2(sK50(sK55))
| ~ spl68_57 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f1425,plain,
( ~ spl68_18
| spl68_138 ),
inference(avatar_contradiction_clause,[],[f1424]) ).
fof(f1424,plain,
( $false
| ~ spl68_18
| spl68_138 ),
inference(subsumption_resolution,[],[f1423,f345]) ).
fof(f1423,plain,
( ~ sP2(sK55)
| spl68_138 ),
inference(resolution,[],[f1281,f224]) ).
fof(f1281,plain,
( ~ r1(sK55,sK50(sK55))
| spl68_138 ),
inference(avatar_component_clause,[],[f1279]) ).
fof(f1142,plain,
( ~ spl68_13
| ~ spl68_18
| ~ spl68_38
| spl68_39
| ~ spl68_105
| spl68_106 ),
inference(avatar_contradiction_clause,[],[f1141]) ).
fof(f1141,plain,
( $false
| ~ spl68_13
| ~ spl68_18
| ~ spl68_38
| spl68_39
| ~ spl68_105
| spl68_106 ),
inference(subsumption_resolution,[],[f1140,f479]) ).
fof(f479,plain,
( r1(sK55,sK32(sK55))
| ~ spl68_38 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f1140,plain,
( ~ r1(sK55,sK32(sK55))
| ~ spl68_13
| ~ spl68_18
| ~ spl68_38
| spl68_39
| ~ spl68_105
| spl68_106 ),
inference(resolution,[],[f1139,f629]) ).
fof(f1139,plain,
( ! [X0] :
( ~ sP1(X0)
| ~ r1(X0,sK32(sK55)) )
| ~ spl68_13
| ~ spl68_18
| ~ spl68_38
| spl68_39
| ~ spl68_105
| spl68_106 ),
inference(subsumption_resolution,[],[f1138,f964]) ).
fof(f964,plain,
( ~ p2(sK32(sK55))
| spl68_106 ),
inference(avatar_component_clause,[],[f963]) ).
fof(f963,plain,
( spl68_106
<=> p2(sK32(sK55)) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_106])]) ).
fof(f1138,plain,
( ! [X0] :
( p2(sK32(sK55))
| ~ r1(X0,sK32(sK55))
| ~ sP1(X0) )
| ~ spl68_13
| ~ spl68_18
| ~ spl68_38
| spl68_39
| ~ spl68_105
| spl68_106 ),
inference(resolution,[],[f1109,f229]) ).
fof(f1109,plain,
( p2(sK52(sK32(sK55)))
| ~ spl68_13
| ~ spl68_18
| ~ spl68_38
| spl68_39
| ~ spl68_105
| spl68_106 ),
inference(subsumption_resolution,[],[f1108,f964]) ).
fof(f1108,plain,
( p2(sK52(sK32(sK55)))
| p2(sK32(sK55))
| ~ spl68_13
| ~ spl68_18
| ~ spl68_38
| spl68_39
| ~ spl68_105
| spl68_106 ),
inference(subsumption_resolution,[],[f1100,f479]) ).
fof(f1100,plain,
( p2(sK52(sK32(sK55)))
| ~ r1(sK55,sK32(sK55))
| p2(sK32(sK55))
| ~ spl68_13
| ~ spl68_18
| ~ spl68_38
| spl68_39
| ~ spl68_105
| spl68_106 ),
inference(resolution,[],[f1001,f709]) ).
fof(f1001,plain,
( ! [X0] :
( ~ r1(sK51(sK32(sK55)),X0)
| p2(X0) )
| ~ spl68_13
| ~ spl68_18
| ~ spl68_38
| spl68_39
| ~ spl68_105
| spl68_106 ),
inference(subsumption_resolution,[],[f1000,f964]) ).
fof(f1000,plain,
( ! [X0] :
( ~ r1(sK51(sK32(sK55)),X0)
| p2(X0)
| p2(sK32(sK55)) )
| ~ spl68_13
| ~ spl68_18
| ~ spl68_38
| spl68_39
| ~ spl68_105 ),
inference(subsumption_resolution,[],[f999,f479]) ).
fof(f999,plain,
( ! [X0] :
( ~ r1(sK51(sK32(sK55)),X0)
| p2(X0)
| ~ r1(sK55,sK32(sK55))
| p2(sK32(sK55)) )
| ~ spl68_13
| ~ spl68_18
| spl68_39
| ~ spl68_105 ),
inference(subsumption_resolution,[],[f993,f961]) ).
fof(f961,plain,
( p2(sK51(sK32(sK55)))
| ~ spl68_105 ),
inference(avatar_component_clause,[],[f959]) ).
fof(f959,plain,
( spl68_105
<=> p2(sK51(sK32(sK55))) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_105])]) ).
fof(f993,plain,
( ! [X0] :
( ~ r1(sK51(sK32(sK55)),X0)
| p2(X0)
| ~ p2(sK51(sK32(sK55)))
| ~ r1(sK55,sK32(sK55))
| p2(sK32(sK55)) )
| ~ spl68_13
| ~ spl68_18
| spl68_39 ),
inference(resolution,[],[f938,f683]) ).
fof(f938,plain,
( ! [X0,X1] :
( ~ r1(sK32(sK55),X1)
| ~ r1(X1,X0)
| p2(X0)
| ~ p2(X1) )
| ~ spl68_13
| spl68_39 ),
inference(subsumption_resolution,[],[f937,f482]) ).
fof(f482,plain,
( ~ sP3(sK55)
| spl68_39 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f937,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(X1,X0)
| ~ r1(sK32(sK55),X1)
| sP3(sK55)
| ~ p2(X1) )
| ~ spl68_13 ),
inference(resolution,[],[f178,f323]) ).
fof(f178,plain,
! [X2,X3,X0] :
( ~ sP14(X0)
| p2(X3)
| ~ r1(X2,X3)
| ~ r1(sK32(X0),X2)
| sP3(X0)
| ~ p2(X2) ),
inference(cnf_transformation,[],[f66]) ).
fof(f1099,plain,
( ~ spl68_13
| ~ spl68_21
| ~ spl68_38
| spl68_39
| spl68_106
| ~ spl68_107 ),
inference(avatar_contradiction_clause,[],[f1098]) ).
fof(f1098,plain,
( $false
| ~ spl68_13
| ~ spl68_21
| ~ spl68_38
| spl68_39
| spl68_106
| ~ spl68_107 ),
inference(subsumption_resolution,[],[f1097,f479]) ).
fof(f1097,plain,
( ~ r1(sK55,sK32(sK55))
| ~ spl68_13
| ~ spl68_21
| ~ spl68_38
| spl68_39
| spl68_106
| ~ spl68_107 ),
inference(resolution,[],[f1096,f357]) ).
fof(f1096,plain,
( ! [X0] :
( ~ sP0(X0)
| ~ r1(X0,sK32(sK55)) )
| ~ spl68_13
| ~ spl68_21
| ~ spl68_38
| spl68_39
| spl68_106
| ~ spl68_107 ),
inference(subsumption_resolution,[],[f1095,f964]) ).
fof(f1095,plain,
( ! [X0] :
( p2(sK32(sK55))
| ~ r1(X0,sK32(sK55))
| ~ sP0(X0) )
| ~ spl68_13
| ~ spl68_21
| ~ spl68_38
| spl68_39
| spl68_106
| ~ spl68_107 ),
inference(resolution,[],[f1034,f233]) ).
fof(f1034,plain,
( p2(sK54(sK32(sK55)))
| ~ spl68_13
| ~ spl68_21
| ~ spl68_38
| spl68_39
| spl68_106
| ~ spl68_107 ),
inference(subsumption_resolution,[],[f1033,f964]) ).
fof(f1033,plain,
( p2(sK54(sK32(sK55)))
| p2(sK32(sK55))
| ~ spl68_13
| ~ spl68_21
| ~ spl68_38
| spl68_39
| spl68_106
| ~ spl68_107 ),
inference(subsumption_resolution,[],[f1024,f479]) ).
fof(f1024,plain,
( p2(sK54(sK32(sK55)))
| ~ r1(sK55,sK32(sK55))
| p2(sK32(sK55))
| ~ spl68_13
| ~ spl68_21
| ~ spl68_38
| spl68_39
| spl68_106
| ~ spl68_107 ),
inference(resolution,[],[f1004,f710]) ).
fof(f710,plain,
( ! [X0] :
( r1(sK53(X0),sK54(X0))
| ~ r1(sK55,X0)
| p2(X0) )
| ~ spl68_21 ),
inference(resolution,[],[f232,f357]) ).
fof(f1004,plain,
( ! [X0] :
( ~ r1(sK53(sK32(sK55)),X0)
| p2(X0) )
| ~ spl68_13
| ~ spl68_21
| ~ spl68_38
| spl68_39
| spl68_106
| ~ spl68_107 ),
inference(subsumption_resolution,[],[f1003,f964]) ).
fof(f1003,plain,
( ! [X0] :
( ~ r1(sK53(sK32(sK55)),X0)
| p2(X0)
| p2(sK32(sK55)) )
| ~ spl68_13
| ~ spl68_21
| ~ spl68_38
| spl68_39
| ~ spl68_107 ),
inference(subsumption_resolution,[],[f1002,f479]) ).
fof(f1002,plain,
( ! [X0] :
( ~ r1(sK53(sK32(sK55)),X0)
| p2(X0)
| ~ r1(sK55,sK32(sK55))
| p2(sK32(sK55)) )
| ~ spl68_13
| ~ spl68_21
| spl68_39
| ~ spl68_107 ),
inference(subsumption_resolution,[],[f994,f970]) ).
fof(f970,plain,
( p2(sK53(sK32(sK55)))
| ~ spl68_107 ),
inference(avatar_component_clause,[],[f968]) ).
fof(f968,plain,
( spl68_107
<=> p2(sK53(sK32(sK55))) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_107])]) ).
fof(f994,plain,
( ! [X0] :
( ~ r1(sK53(sK32(sK55)),X0)
| p2(X0)
| ~ p2(sK53(sK32(sK55)))
| ~ r1(sK55,sK32(sK55))
| p2(sK32(sK55)) )
| ~ spl68_13
| ~ spl68_21
| spl68_39 ),
inference(resolution,[],[f938,f684]) ).
fof(f684,plain,
( ! [X0] :
( r1(X0,sK53(X0))
| ~ r1(sK55,X0)
| p2(X0) )
| ~ spl68_21 ),
inference(resolution,[],[f231,f357]) ).
fof(f977,plain,
( ~ spl68_13
| spl68_39
| ~ spl68_106 ),
inference(avatar_contradiction_clause,[],[f976]) ).
fof(f976,plain,
( $false
| ~ spl68_13
| spl68_39
| ~ spl68_106 ),
inference(subsumption_resolution,[],[f975,f323]) ).
fof(f975,plain,
( ~ sP14(sK55)
| spl68_39
| ~ spl68_106 ),
inference(subsumption_resolution,[],[f974,f482]) ).
fof(f974,plain,
( sP3(sK55)
| ~ sP14(sK55)
| ~ spl68_106 ),
inference(resolution,[],[f965,f177]) ).
fof(f177,plain,
! [X0] :
( ~ p2(sK32(X0))
| sP3(X0)
| ~ sP14(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f965,plain,
( p2(sK32(sK55))
| ~ spl68_106 ),
inference(avatar_component_clause,[],[f963]) ).
fof(f971,plain,
( spl68_107
| spl68_106
| ~ spl68_21
| ~ spl68_38 ),
inference(avatar_split_clause,[],[f955,f477,f355,f963,f968]) ).
fof(f955,plain,
( p2(sK32(sK55))
| p2(sK53(sK32(sK55)))
| ~ spl68_21
| ~ spl68_38 ),
inference(resolution,[],[f479,f632]) ).
fof(f632,plain,
( ! [X0] :
( ~ r1(sK55,X0)
| p2(X0)
| p2(sK53(X0)) )
| ~ spl68_21 ),
inference(resolution,[],[f234,f357]) ).
fof(f966,plain,
( spl68_105
| spl68_106
| ~ spl68_18
| ~ spl68_38 ),
inference(avatar_split_clause,[],[f954,f477,f343,f963,f959]) ).
fof(f954,plain,
( p2(sK32(sK55))
| p2(sK51(sK32(sK55)))
| ~ spl68_18
| ~ spl68_38 ),
inference(resolution,[],[f479,f630]) ).
fof(f606,plain,
( ~ spl68_17
| ~ spl68_19
| ~ spl68_20 ),
inference(avatar_contradiction_clause,[],[f605]) ).
fof(f605,plain,
( $false
| ~ spl68_17
| ~ spl68_19
| ~ spl68_20 ),
inference(subsumption_resolution,[],[f601,f265]) ).
fof(f265,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
fof(f601,plain,
( ~ r1(sK55,sK55)
| ~ spl68_17
| ~ spl68_19
| ~ spl68_20 ),
inference(resolution,[],[f349,f539]) ).
fof(f539,plain,
( ~ r1(sK55,sK63(sK55))
| ~ spl68_17
| ~ spl68_20 ),
inference(resolution,[],[f455,f353]) ).
fof(f353,plain,
( ! [X23] :
( ~ p5(X23)
| ~ r1(sK55,X23) )
| ~ spl68_20 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f352,plain,
( spl68_20
<=> ! [X23] :
( ~ p5(X23)
| ~ r1(sK55,X23) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_20])]) ).
fof(f455,plain,
( p5(sK63(sK55))
| ~ spl68_17 ),
inference(resolution,[],[f341,f265]) ).
fof(f341,plain,
( ! [X16] :
( ~ r1(sK55,X16)
| p5(sK63(X16)) )
| ~ spl68_17 ),
inference(avatar_component_clause,[],[f340]) ).
fof(f340,plain,
( spl68_17
<=> ! [X16] :
( p5(sK63(X16))
| ~ r1(sK55,X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_17])]) ).
fof(f349,plain,
( ! [X16] :
( r1(X16,sK63(X16))
| ~ r1(sK55,X16) )
| ~ spl68_19 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f348,plain,
( spl68_19
<=> ! [X16] :
( r1(X16,sK63(X16))
| ~ r1(sK55,X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_19])]) ).
fof(f500,plain,
( ~ spl68_40
| spl68_42
| ~ spl68_15 ),
inference(avatar_split_clause,[],[f486,f330,f497,f488]) ).
fof(f486,plain,
( sP5(sK59)
| ~ p2(sK59)
| ~ spl68_15 ),
inference(resolution,[],[f332,f184]) ).
fof(f184,plain,
! [X0] :
( ~ sP12(X0)
| sP5(X0)
| ~ p2(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f495,plain,
( ~ spl68_40
| spl68_41
| ~ spl68_15 ),
inference(avatar_split_clause,[],[f485,f330,f492,f488]) ).
fof(f485,plain,
( sP6(sK59)
| ~ p2(sK59)
| ~ spl68_15 ),
inference(resolution,[],[f332,f185]) ).
fof(f185,plain,
! [X0] :
( ~ sP12(X0)
| sP6(X0)
| ~ p2(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f368,plain,
( spl68_20
| spl68_23 ),
inference(avatar_split_clause,[],[f235,f365,f352]) ).
fof(f235,plain,
! [X23] :
( r1(sK55,sK67)
| ~ p5(X23)
| ~ r1(sK55,X23) ),
inference(cnf_transformation,[],[f143]) ).
fof(f363,plain,
( spl68_20
| ~ spl68_22 ),
inference(avatar_split_clause,[],[f236,f360,f352]) ).
fof(f236,plain,
! [X23] :
( ~ p2(sK67)
| ~ p5(X23)
| ~ r1(sK55,X23) ),
inference(cnf_transformation,[],[f143]) ).
fof(f358,plain,
( spl68_20
| spl68_21 ),
inference(avatar_split_clause,[],[f237,f355,f352]) ).
fof(f237,plain,
! [X23] :
( sP0(sK55)
| ~ p5(X23)
| ~ r1(sK55,X23) ),
inference(cnf_transformation,[],[f143]) ).
fof(f350,plain,
( spl68_19
| spl68_18 ),
inference(avatar_split_clause,[],[f244,f343,f348]) ).
fof(f244,plain,
! [X16] :
( sP2(sK55)
| r1(X16,sK63(X16))
| ~ r1(sK55,X16) ),
inference(cnf_transformation,[],[f143]) ).
fof(f346,plain,
( spl68_17
| spl68_18 ),
inference(avatar_split_clause,[],[f245,f343,f340]) ).
fof(f245,plain,
! [X16] :
( sP2(sK55)
| p5(sK63(X16))
| ~ r1(sK55,X16) ),
inference(cnf_transformation,[],[f143]) ).
fof(f338,plain,
( spl68_13
| spl68_16 ),
inference(avatar_split_clause,[],[f252,f335,f321]) ).
fof(f252,plain,
( r1(sK55,sK59)
| sP14(sK55) ),
inference(cnf_transformation,[],[f143]) ).
fof(f333,plain,
( spl68_13
| spl68_15 ),
inference(avatar_split_clause,[],[f253,f330,f321]) ).
fof(f253,plain,
( sP12(sK59)
| sP14(sK55) ),
inference(cnf_transformation,[],[f143]) ).
fof(f328,plain,
( spl68_13
| spl68_14 ),
inference(avatar_split_clause,[],[f254,f325,f321]) ).
fof(f254,plain,
( sP13(sK59)
| sP14(sK55) ),
inference(cnf_transformation,[],[f143]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL660+1.005 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 01:16:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (20874)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (20877)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.38 % (20878)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.38 % (20879)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38 % (20875)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38 % (20880)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38 % (20881)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [1]
% 0.14/0.39 % (20876)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [4]
% 0.14/0.40 TRYING [4]
% 0.14/0.40 TRYING [1]
% 0.14/0.40 TRYING [2]
% 0.20/0.40 TRYING [4]
% 0.20/0.41 TRYING [3]
% 0.20/0.41 TRYING [5]
% 0.20/0.42 TRYING [5]
% 0.20/0.42 TRYING [4]
% 0.20/0.43 TRYING [5]
% 0.20/0.45 TRYING [5]
% 0.20/0.47 TRYING [6]
% 0.20/0.47 % (20880)First to succeed.
% 0.20/0.48 % (20880)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20874"
% 0.20/0.48 TRYING [6]
% 0.20/0.48 % (20880)Refutation found. Thanks to Tanya!
% 0.20/0.48 % SZS status Theorem for theBenchmark
% 0.20/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49 % (20880)------------------------------
% 0.20/0.49 % (20880)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.49 % (20880)Termination reason: Refutation
% 0.20/0.49
% 0.20/0.49 % (20880)Memory used [KB]: 2946
% 0.20/0.49 % (20880)Time elapsed: 0.108 s
% 0.20/0.49 % (20880)Instructions burned: 203 (million)
% 0.20/0.49 % (20874)Success in time 0.102 s
%------------------------------------------------------------------------------