TSTP Solution File: LCL676+1.005 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL676+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 : n025.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 00:33:35 EDT 2024
% Result : Theorem 2.04s 0.68s
% Output : Refutation 2.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 63
% Syntax : Number of formulae : 205 ( 3 unt; 0 def)
% Number of atoms : 2530 ( 0 equ)
% Maximal formula atoms : 207 ( 12 avg)
% Number of connectives : 3849 (1524 ~;1721 |; 566 &)
% ( 17 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 35 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 47 ( 46 usr; 18 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 7 con; 0-1 aty)
% Number of variables : 1010 ( 778 !; 232 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f24903,plain,
$false,
inference(avatar_sat_refutation,[],[f360,f364,f373,f378,f383,f1088,f1099,f1155,f1762,f1823,f1877,f2991,f8761,f8771,f9273,f9278,f9374,f24902]) ).
fof(f24902,plain,
( ~ spl71_18
| spl71_115
| ~ spl71_124
| ~ spl71_125
| spl71_917
| ~ spl71_932
| ~ spl71_933 ),
inference(avatar_contradiction_clause,[],[f24901]) ).
fof(f24901,plain,
( $false
| ~ spl71_18
| spl71_115
| ~ spl71_124
| ~ spl71_125
| spl71_917
| ~ spl71_932
| ~ spl71_933 ),
inference(subsumption_resolution,[],[f24900,f1087]) ).
fof(f1087,plain,
( r1(sK58,sK59(sK51(sK58)))
| ~ spl71_125 ),
inference(avatar_component_clause,[],[f1085]) ).
fof(f1085,plain,
( spl71_125
<=> r1(sK58,sK59(sK51(sK58))) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_125])]) ).
fof(f24900,plain,
( ~ r1(sK58,sK59(sK51(sK58)))
| ~ spl71_18
| spl71_115
| ~ spl71_124
| ~ spl71_125
| spl71_917
| ~ spl71_932
| ~ spl71_933 ),
inference(resolution,[],[f13910,f9012]) ).
fof(f9012,plain,
( sP2(sK58)
| ~ spl71_18 ),
inference(resolution,[],[f359,f235]) ).
fof(f235,plain,
! [X0] :
( ~ sP3(X0)
| sP2(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ( sP2(X0)
& ~ p2(sK51(X0))
& r1(X0,sK51(X0)) )
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK51])],[f120,f121]) ).
fof(f121,plain,
! [X0] :
( ? [X1] :
( ~ p2(X1)
& r1(X0,X1) )
=> ( ~ p2(sK51(X0))
& r1(X0,sK51(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f120,plain,
! [X0] :
( ( sP2(X0)
& ? [X1] :
( ~ p2(X1)
& r1(X0,X1) ) )
| ~ sP3(X0) ),
inference(rectify,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ( sP2(X0)
& ? [X79] :
( ~ p2(X79)
& r1(X0,X79) ) )
| ~ sP3(X0) ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0] :
( ( sP2(X0)
& ? [X79] :
( ~ p2(X79)
& r1(X0,X79) ) )
| ~ sP3(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f359,plain,
( sP3(sK58)
| ~ spl71_18 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f357,plain,
( spl71_18
<=> sP3(sK58) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_18])]) ).
fof(f13910,plain,
( ! [X0] :
( ~ sP2(X0)
| ~ r1(X0,sK59(sK51(sK58))) )
| ~ spl71_18
| spl71_115
| ~ spl71_124
| ~ spl71_125
| spl71_917
| ~ spl71_932
| ~ spl71_933 ),
inference(subsumption_resolution,[],[f13909,f8964]) ).
fof(f8964,plain,
( ~ p2(sK59(sK51(sK58)))
| spl71_917 ),
inference(avatar_component_clause,[],[f8963]) ).
fof(f8963,plain,
( spl71_917
<=> p2(sK59(sK51(sK58))) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_917])]) ).
fof(f13909,plain,
( ! [X0] :
( p2(sK59(sK51(sK58)))
| ~ r1(X0,sK59(sK51(sK58)))
| ~ sP2(X0) )
| ~ spl71_18
| spl71_115
| ~ spl71_124
| ~ spl71_125
| spl71_917
| ~ spl71_932
| ~ spl71_933 ),
inference(resolution,[],[f13879,f238]) ).
fof(f238,plain,
! [X0,X1] :
( ~ p2(sK53(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0] :
( ! [X1] :
( ( p2(sK52(X1))
& ~ p2(sK53(X1))
& r1(sK52(X1),sK53(X1))
& r1(X1,sK52(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK52,sK53])],[f124,f126,f125]) ).
fof(f125,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK52(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK52(X1),X3) )
& r1(X1,sK52(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f126,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK52(X1),X3) )
=> ( ~ p2(sK53(X1))
& r1(sK52(X1),sK53(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f124,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP2(X0) ),
inference(rectify,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ! [X76] :
( ? [X77] :
( p2(X77)
& ? [X78] :
( ~ p2(X78)
& r1(X77,X78) )
& r1(X76,X77) )
| p2(X76)
| ~ r1(X0,X76) )
| ~ sP2(X0) ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0] :
( ! [X76] :
( ? [X77] :
( p2(X77)
& ? [X78] :
( ~ p2(X78)
& r1(X77,X78) )
& r1(X76,X77) )
| p2(X76)
| ~ r1(X0,X76) )
| ~ sP2(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f13879,plain,
( p2(sK53(sK59(sK51(sK58))))
| ~ spl71_18
| spl71_115
| ~ spl71_124
| ~ spl71_125
| spl71_917
| ~ spl71_932
| ~ spl71_933 ),
inference(subsumption_resolution,[],[f13878,f8964]) ).
fof(f13878,plain,
( p2(sK53(sK59(sK51(sK58))))
| p2(sK59(sK51(sK58)))
| ~ spl71_18
| spl71_115
| ~ spl71_124
| ~ spl71_125
| ~ spl71_932
| ~ spl71_933 ),
inference(subsumption_resolution,[],[f13866,f1087]) ).
fof(f13866,plain,
( p2(sK53(sK59(sK51(sK58))))
| ~ r1(sK58,sK59(sK51(sK58)))
| p2(sK59(sK51(sK58)))
| ~ spl71_18
| spl71_115
| ~ spl71_124
| ~ spl71_932
| ~ spl71_933 ),
inference(resolution,[],[f10259,f9016]) ).
fof(f9016,plain,
( ! [X0] :
( r1(sK52(X0),sK53(X0))
| ~ r1(sK58,X0)
| p2(X0) )
| ~ spl71_18 ),
inference(resolution,[],[f9012,f237]) ).
fof(f237,plain,
! [X0,X1] :
( ~ sP2(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(sK52(X1),sK53(X1)) ),
inference(cnf_transformation,[],[f127]) ).
fof(f10259,plain,
( ! [X0] :
( ~ r1(sK52(sK59(sK51(sK58))),X0)
| p2(X0) )
| spl71_115
| ~ spl71_124
| ~ spl71_932
| ~ spl71_933 ),
inference(subsumption_resolution,[],[f10258,f1082]) ).
fof(f1082,plain,
( r1(sK58,sK51(sK58))
| ~ spl71_124 ),
inference(avatar_component_clause,[],[f1081]) ).
fof(f1081,plain,
( spl71_124
<=> r1(sK58,sK51(sK58)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_124])]) ).
fof(f10258,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK52(sK59(sK51(sK58))),X0)
| ~ r1(sK58,sK51(sK58)) )
| spl71_115
| ~ spl71_932
| ~ spl71_933 ),
inference(subsumption_resolution,[],[f10257,f1027]) ).
fof(f1027,plain,
( ~ p2(sK51(sK58))
| spl71_115 ),
inference(avatar_component_clause,[],[f1026]) ).
fof(f1026,plain,
( spl71_115
<=> p2(sK51(sK58)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_115])]) ).
fof(f10257,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK52(sK59(sK51(sK58))),X0)
| p2(sK51(sK58))
| ~ r1(sK58,sK51(sK58)) )
| ~ spl71_932
| ~ spl71_933 ),
inference(subsumption_resolution,[],[f10252,f9277]) ).
fof(f9277,plain,
( p2(sK52(sK59(sK51(sK58))))
| ~ spl71_933 ),
inference(avatar_component_clause,[],[f9275]) ).
fof(f9275,plain,
( spl71_933
<=> p2(sK52(sK59(sK51(sK58)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_933])]) ).
fof(f10252,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK52(sK59(sK51(sK58))),X0)
| ~ p2(sK52(sK59(sK51(sK58))))
| p2(sK51(sK58))
| ~ r1(sK58,sK51(sK58)) )
| ~ spl71_932 ),
inference(resolution,[],[f9272,f277]) ).
fof(f277,plain,
! [X3,X1,X4] :
( ~ r1(sK59(X1),X3)
| p2(X4)
| ~ r1(X3,X4)
| ~ p2(X3)
| p2(X1)
| ~ r1(sK58,X1) ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
( ! [X1] :
( ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK59(X1),X3) )
& ~ p2(sK59(X1))
& r1(X1,sK59(X1)) )
| p2(X1)
| ~ r1(sK58,X1) )
& ( ( sP22(sK60)
& r1(sK60,sK61)
& ~ p1(sK60)
& r1(sK58,sK60) )
| ! [X7] : ~ r1(sK58,X7)
| p1(sK58) )
& ( sP21(sK58)
| ! [X8] : ~ r1(sK58,X8)
| p1(sK58)
| p2(sK58) )
& ( sP19(sK58)
| ! [X9] : ~ r1(sK58,X9)
| p1(sK58)
| p2(sK58)
| p3(sK58) )
& ( sP17(sK58)
| ! [X10] : ~ r1(sK58,X10)
| p1(sK58)
| p2(sK58)
| p3(sK58)
| p4(sK58) )
& ( ( sP14(sK62)
& sP13(sK62)
& r1(sK58,sK62) )
| sP15(sK58) )
& ! [X12] :
( ( p1(sK63(X12))
& ~ p1(sK64(X12))
& r1(sK63(X12),sK64(X12))
& r1(X12,sK63(X12)) )
| p1(X12)
| ~ r1(sK58,X12) )
& ~ p1(sK65)
& r1(sK58,sK65)
& ( sP3(sK58)
| ! [X16] :
( ( p5(sK66(X16))
& r1(X16,sK66(X16)) )
| ~ r1(sK58,X16) ) )
& ! [X18] :
( ( p3(sK67(X18))
& ~ p3(sK68(X18))
& r1(sK67(X18),sK68(X18))
& r1(X18,sK67(X18)) )
| p3(X18)
| ~ r1(sK58,X18) )
& ~ p3(sK69)
& r1(sK58,sK69)
& ( ( sP0(sK58)
& ~ p2(sK70)
& r1(sK58,sK70) )
| sP1(sK58) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK58,sK59,sK60,sK61,sK62,sK63,sK64,sK65,sK66,sK67,sK68,sK69,sK70])],[f138,f151,f150,f149,f148,f147,f146,f145,f144,f143,f142,f141,f140,f139]) ).
fof(f139,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] :
( sP22(X5)
& ? [X6] : r1(X5,X6)
& ~ p1(X5)
& r1(X0,X5) )
| ! [X7] : ~ r1(X0,X7)
| p1(X0) )
& ( sP21(X0)
| ! [X8] : ~ r1(X0,X8)
| p1(X0)
| p2(X0) )
& ( sP19(X0)
| ! [X9] : ~ r1(X0,X9)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( sP17(X0)
| ! [X10] : ~ r1(X0,X10)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X11] :
( sP14(X11)
& sP13(X11)
& r1(X0,X11) )
| sP15(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) )
& ( sP3(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) ) )
| sP1(X0) ) )
=> ( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(sK58,X1) )
& ( ? [X5] :
( sP22(X5)
& ? [X6] : r1(X5,X6)
& ~ p1(X5)
& r1(sK58,X5) )
| ! [X7] : ~ r1(sK58,X7)
| p1(sK58) )
& ( sP21(sK58)
| ! [X8] : ~ r1(sK58,X8)
| p1(sK58)
| p2(sK58) )
& ( sP19(sK58)
| ! [X9] : ~ r1(sK58,X9)
| p1(sK58)
| p2(sK58)
| p3(sK58) )
& ( sP17(sK58)
| ! [X10] : ~ r1(sK58,X10)
| p1(sK58)
| p2(sK58)
| p3(sK58)
| p4(sK58) )
& ( ? [X11] :
( sP14(X11)
& sP13(X11)
& r1(sK58,X11) )
| sP15(sK58) )
& ! [X12] :
( ? [X13] :
( p1(X13)
& ? [X14] :
( ~ p1(X14)
& r1(X13,X14) )
& r1(X12,X13) )
| p1(X12)
| ~ r1(sK58,X12) )
& ? [X15] :
( ~ p1(X15)
& r1(sK58,X15) )
& ( sP3(sK58)
| ! [X16] :
( ? [X17] :
( p5(X17)
& r1(X16,X17) )
| ~ r1(sK58,X16) ) )
& ! [X18] :
( ? [X19] :
( p3(X19)
& ? [X20] :
( ~ p3(X20)
& r1(X19,X20) )
& r1(X18,X19) )
| p3(X18)
| ~ r1(sK58,X18) )
& ? [X21] :
( ~ p3(X21)
& r1(sK58,X21) )
& ( ( sP0(sK58)
& ? [X22] :
( ~ p2(X22)
& r1(sK58,X22) ) )
| sP1(sK58) ) ) ),
introduced(choice_axiom,[]) ).
fof(f140,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(sK59(X1),X3) )
& ~ p2(sK59(X1))
& r1(X1,sK59(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f141,plain,
( ? [X5] :
( sP22(X5)
& ? [X6] : r1(X5,X6)
& ~ p1(X5)
& r1(sK58,X5) )
=> ( sP22(sK60)
& ? [X6] : r1(sK60,X6)
& ~ p1(sK60)
& r1(sK58,sK60) ) ),
introduced(choice_axiom,[]) ).
fof(f142,plain,
( ? [X6] : r1(sK60,X6)
=> r1(sK60,sK61) ),
introduced(choice_axiom,[]) ).
fof(f143,plain,
( ? [X11] :
( sP14(X11)
& sP13(X11)
& r1(sK58,X11) )
=> ( sP14(sK62)
& sP13(sK62)
& r1(sK58,sK62) ) ),
introduced(choice_axiom,[]) ).
fof(f144,plain,
! [X12] :
( ? [X13] :
( p1(X13)
& ? [X14] :
( ~ p1(X14)
& r1(X13,X14) )
& r1(X12,X13) )
=> ( p1(sK63(X12))
& ? [X14] :
( ~ p1(X14)
& r1(sK63(X12),X14) )
& r1(X12,sK63(X12)) ) ),
introduced(choice_axiom,[]) ).
fof(f145,plain,
! [X12] :
( ? [X14] :
( ~ p1(X14)
& r1(sK63(X12),X14) )
=> ( ~ p1(sK64(X12))
& r1(sK63(X12),sK64(X12)) ) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
( ? [X15] :
( ~ p1(X15)
& r1(sK58,X15) )
=> ( ~ p1(sK65)
& r1(sK58,sK65) ) ),
introduced(choice_axiom,[]) ).
fof(f147,plain,
! [X16] :
( ? [X17] :
( p5(X17)
& r1(X16,X17) )
=> ( p5(sK66(X16))
& r1(X16,sK66(X16)) ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
! [X18] :
( ? [X19] :
( p3(X19)
& ? [X20] :
( ~ p3(X20)
& r1(X19,X20) )
& r1(X18,X19) )
=> ( p3(sK67(X18))
& ? [X20] :
( ~ p3(X20)
& r1(sK67(X18),X20) )
& r1(X18,sK67(X18)) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
! [X18] :
( ? [X20] :
( ~ p3(X20)
& r1(sK67(X18),X20) )
=> ( ~ p3(sK68(X18))
& r1(sK67(X18),sK68(X18)) ) ),
introduced(choice_axiom,[]) ).
fof(f150,plain,
( ? [X21] :
( ~ p3(X21)
& r1(sK58,X21) )
=> ( ~ p3(sK69)
& r1(sK58,sK69) ) ),
introduced(choice_axiom,[]) ).
fof(f151,plain,
( ? [X22] :
( ~ p2(X22)
& r1(sK58,X22) )
=> ( ~ p2(sK70)
& r1(sK58,sK70) ) ),
introduced(choice_axiom,[]) ).
fof(f138,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] :
( sP22(X5)
& ? [X6] : r1(X5,X6)
& ~ p1(X5)
& r1(X0,X5) )
| ! [X7] : ~ r1(X0,X7)
| p1(X0) )
& ( sP21(X0)
| ! [X8] : ~ r1(X0,X8)
| p1(X0)
| p2(X0) )
& ( sP19(X0)
| ! [X9] : ~ r1(X0,X9)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( sP17(X0)
| ! [X10] : ~ r1(X0,X10)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X11] :
( sP14(X11)
& sP13(X11)
& r1(X0,X11) )
| sP15(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) )
& ( sP3(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) ) )
| sP1(X0) ) ),
inference(rectify,[],[f35]) ).
fof(f35,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] :
( sP22(X5)
& ? [X10] : r1(X5,X10)
& ~ p1(X5)
& r1(X0,X5) )
| ! [X11] : ~ r1(X0,X11)
| p1(X0) )
& ( sP21(X0)
| ! [X18] : ~ r1(X0,X18)
| p1(X0)
| p2(X0) )
& ( sP19(X0)
| ! [X25] : ~ r1(X0,X25)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( sP17(X0)
| ! [X32] : ~ r1(X0,X32)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X33] :
( sP14(X33)
& sP13(X33)
& r1(X0,X33) )
| sP15(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) )
& ( sP3(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) ) )
| sP1(X0) ) ),
inference(definition_folding,[],[f9,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12]) ).
fof(f12,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(f13,plain,
! [X0] :
( ? [X90] :
( ? [X91] :
( ! [X92] :
( ~ p5(X92)
| ~ r1(X91,X92) )
& r1(X90,X91) )
& ~ p1(X90)
& r1(X0,X90) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f16,plain,
! [X0] :
( ! [X68] :
( ! [X69] :
( ? [X70] :
( p2(X70)
& ? [X71] :
( ~ p2(X71)
& r1(X70,X71) )
& r1(X69,X70) )
| p2(X69)
| ~ r1(X68,X69) )
| ~ r1(X0,X68) )
| ~ sP4(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f17,plain,
! [X0] :
( ? [X63] :
( p2(X63)
& ? [X64] :
( ~ p2(X64)
& r1(X63,X64) )
& r1(X0,X63) )
| p2(X0)
| ~ sP5(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f18,plain,
! [X33] :
( ? [X59] :
( ? [X60] :
( ! [X61] :
( ~ p2(X61)
| ! [X62] :
( p2(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
& ~ p2(X60)
& r1(X59,X60) )
& r1(X33,X59) )
| ~ sP6(X33) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f19,plain,
! [X33] :
( ! [X56] :
( ? [X57] :
( p2(X57)
& ? [X58] :
( ~ p2(X58)
& r1(X57,X58) )
& r1(X56,X57) )
| p2(X56)
| ~ r1(X33,X56) )
| ~ sP7(X33) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f20,plain,
! [X44] :
( ! [X50] :
( ! [X51] :
( ? [X52] :
( p2(X52)
& ? [X53] :
( ~ p2(X53)
& r1(X52,X53) )
& r1(X51,X52) )
| p2(X51)
| ~ r1(X50,X51) )
| ~ r1(X44,X50) )
| ~ sP8(X44) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f21,plain,
! [X44] :
( ? [X45] :
( p2(X45)
& ? [X46] :
( ~ p2(X46)
& r1(X45,X46) )
& r1(X44,X45) )
| p2(X44)
| ~ sP9(X44) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f22,plain,
! [X34] :
( ? [X40] :
( ? [X41] :
( ! [X42] :
( ~ p2(X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
& ~ p2(X41)
& r1(X40,X41) )
& r1(X34,X40) )
| ~ sP10(X34) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f23,plain,
! [X34] :
( ! [X37] :
( ? [X38] :
( p2(X38)
& ? [X39] :
( ~ p2(X39)
& r1(X38,X39) )
& r1(X37,X38) )
| p2(X37)
| ~ r1(X34,X37) )
| ~ sP11(X34) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f24,plain,
! [X34] :
( ! [X44] :
( ( sP9(X44)
& ( ? [X47] :
( ! [X48] :
( ~ p2(X48)
| ! [X49] :
( p2(X49)
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
& ~ p2(X47)
& r1(X44,X47) )
| sP8(X44) ) )
| ~ r1(X34,X44) )
| ~ sP12(X34) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f25,plain,
! [X33] :
( ( ! [X54] :
( ~ p2(X54)
| ! [X55] :
( p2(X55)
| ~ r1(X54,X55) )
| ~ r1(X33,X54) )
& ~ p2(X33) )
| ( sP7(X33)
& sP6(X33) )
| ~ sP13(X33) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f26,plain,
! [X33] :
( ! [X34] :
( ( ! [X35] :
( ~ p2(X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
& ~ p2(X34) )
| ( sP11(X34)
& sP10(X34) )
| sP12(X34)
| ~ r1(X33,X34) )
| ~ sP14(X33) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f27,plain,
! [X0] :
( ( sP5(X0)
& ( ? [X65] :
( ! [X66] :
( ~ p2(X66)
| ! [X67] :
( p2(X67)
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
& ~ p2(X65)
& r1(X0,X65) )
| sP4(X0) ) )
| ~ sP15(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f28,plain,
! [X27] :
( ( ? [X28] : r1(X27,X28)
& ~ p1(X27)
& ~ p2(X27)
& ~ p3(X27)
& ~ p4(X27) )
| ~ sP16(X27) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f29,plain,
! [X0] :
( ? [X26] :
( ! [X27] :
( sP16(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) )
| ~ sP17(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f30,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) )
| ~ sP18(X19) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f31,plain,
! [X0] :
( ? [X19] :
( sP18(X19)
& ? [X24] : r1(X19,X24)
& ~ p1(X19)
& ~ p2(X19)
& ~ p3(X19)
& r1(X0,X19) )
| ~ sP19(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f32,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) )
| ~ sP20(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f33,plain,
! [X0] :
( ? [X12] :
( sP20(X12)
& ? [X17] : r1(X12,X17)
& ~ p1(X12)
& ~ p2(X12)
& r1(X0,X12) )
| ~ sP21(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f34,plain,
! [X5] :
( ! [X6] :
( ( ? [X7] : r1(X6,X7)
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
| ~ sP22(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f9,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] :
( ? [X91] :
( ! [X92] :
( ~ p5(X92)
| ~ r1(X91,X92) )
& r1(X90,X91) )
& ~ p1(X90)
& r1(X0,X90) ) ) ),
inference(flattening,[],[f8]) ).
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] :
( ? [X91] :
( ! [X92] :
( ~ p5(X92)
| ~ r1(X91,X92) )
& r1(X90,X91) )
& ~ p1(X90)
& r1(X0,X90) ) ) ),
inference(ennf_transformation,[],[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] :
( ! [X91] :
( ~ ! [X92] :
( ~ p5(X92)
| ~ r1(X91,X92) )
| ~ r1(X90,X91) )
| p1(X90)
| ~ r1(X0,X90) ) ) ),
inference(flattening,[],[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] :
( ! [X91] :
( ~ ! [X92] :
( ~ p5(X92)
| ~ r1(X91,X92) )
| ~ r1(X90,X91) )
| p1(X90)
| ~ r1(X0,X90) ) ) ),
inference(true_and_false_elimination,[],[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] :
( $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] :
( ! [X91] :
( ~ ! [X92] :
( ~ p5(X92)
| ~ r1(X91,X92) )
| ~ r1(X90,X91) )
| p1(X90)
| ~ r1(X0,X90) ) ) ),
inference(rectify,[],[f4]) ).
fof(f4,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] :
( ! [X0] :
( ~ ! [X1] :
( ~ p5(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) ) ) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,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] :
( ! [X0] :
( ~ ! [X1] :
( ~ p5(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f9272,plain,
( r1(sK59(sK51(sK58)),sK52(sK59(sK51(sK58))))
| ~ spl71_932 ),
inference(avatar_component_clause,[],[f9270]) ).
fof(f9270,plain,
( spl71_932
<=> r1(sK59(sK51(sK58)),sK52(sK59(sK51(sK58)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_932])]) ).
fof(f9374,plain,
( spl71_115
| ~ spl71_124
| ~ spl71_917 ),
inference(avatar_contradiction_clause,[],[f9373]) ).
fof(f9373,plain,
( $false
| spl71_115
| ~ spl71_124
| ~ spl71_917 ),
inference(subsumption_resolution,[],[f9372,f1082]) ).
fof(f9372,plain,
( ~ r1(sK58,sK51(sK58))
| spl71_115
| ~ spl71_917 ),
inference(subsumption_resolution,[],[f9371,f1027]) ).
fof(f9371,plain,
( p2(sK51(sK58))
| ~ r1(sK58,sK51(sK58))
| ~ spl71_917 ),
inference(resolution,[],[f8965,f276]) ).
fof(f276,plain,
! [X1] :
( ~ p2(sK59(X1))
| p2(X1)
| ~ r1(sK58,X1) ),
inference(cnf_transformation,[],[f152]) ).
fof(f8965,plain,
( p2(sK59(sK51(sK58)))
| ~ spl71_917 ),
inference(avatar_component_clause,[],[f8963]) ).
fof(f9278,plain,
( spl71_933
| spl71_917
| ~ spl71_18
| ~ spl71_125 ),
inference(avatar_split_clause,[],[f9242,f1085,f357,f8963,f9275]) ).
fof(f9242,plain,
( p2(sK59(sK51(sK58)))
| p2(sK52(sK59(sK51(sK58))))
| ~ spl71_18
| ~ spl71_125 ),
inference(resolution,[],[f1087,f9018]) ).
fof(f9018,plain,
( ! [X0] :
( ~ r1(sK58,X0)
| p2(X0)
| p2(sK52(X0)) )
| ~ spl71_18 ),
inference(resolution,[],[f9012,f239]) ).
fof(f239,plain,
! [X0,X1] :
( ~ sP2(X0)
| p2(X1)
| ~ r1(X0,X1)
| p2(sK52(X1)) ),
inference(cnf_transformation,[],[f127]) ).
fof(f9273,plain,
( spl71_932
| spl71_917
| ~ spl71_18
| ~ spl71_125 ),
inference(avatar_split_clause,[],[f9241,f1085,f357,f8963,f9270]) ).
fof(f9241,plain,
( p2(sK59(sK51(sK58)))
| r1(sK59(sK51(sK58)),sK52(sK59(sK51(sK58))))
| ~ spl71_18
| ~ spl71_125 ),
inference(resolution,[],[f1087,f9017]) ).
fof(f9017,plain,
( ! [X0] :
( ~ r1(sK58,X0)
| p2(X0)
| r1(X0,sK52(X0)) )
| ~ spl71_18 ),
inference(resolution,[],[f9012,f236]) ).
fof(f236,plain,
! [X0,X1] :
( ~ sP2(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(X1,sK52(X1)) ),
inference(cnf_transformation,[],[f127]) ).
fof(f8771,plain,
( spl71_606
| ~ spl71_21
| spl71_22
| ~ spl71_23
| ~ spl71_219
| spl71_220 ),
inference(avatar_split_clause,[],[f8770,f1874,f1870,f380,f375,f370,f6103]) ).
fof(f6103,plain,
( spl71_606
<=> p2(sK57(sK59(sK70))) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_606])]) ).
fof(f370,plain,
( spl71_21
<=> sP0(sK58) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_21])]) ).
fof(f375,plain,
( spl71_22
<=> p2(sK70) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_22])]) ).
fof(f380,plain,
( spl71_23
<=> r1(sK58,sK70) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_23])]) ).
fof(f1870,plain,
( spl71_219
<=> p2(sK56(sK59(sK70))) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_219])]) ).
fof(f1874,plain,
( spl71_220
<=> p2(sK59(sK70)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_220])]) ).
fof(f8770,plain,
( p2(sK57(sK59(sK70)))
| ~ spl71_21
| spl71_22
| ~ spl71_23
| ~ spl71_219
| spl71_220 ),
inference(subsumption_resolution,[],[f8769,f1875]) ).
fof(f1875,plain,
( ~ p2(sK59(sK70))
| spl71_220 ),
inference(avatar_component_clause,[],[f1874]) ).
fof(f8769,plain,
( p2(sK57(sK59(sK70)))
| p2(sK59(sK70))
| ~ spl71_21
| spl71_22
| ~ spl71_23
| ~ spl71_219 ),
inference(subsumption_resolution,[],[f6424,f1593]) ).
fof(f1593,plain,
( r1(sK58,sK59(sK70))
| spl71_22
| ~ spl71_23 ),
inference(subsumption_resolution,[],[f1592,f382]) ).
fof(f382,plain,
( r1(sK58,sK70)
| ~ spl71_23 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f1592,plain,
( r1(sK58,sK59(sK70))
| ~ r1(sK58,sK70)
| spl71_22
| ~ spl71_23 ),
inference(subsumption_resolution,[],[f1568,f377]) ).
fof(f377,plain,
( ~ p2(sK70)
| spl71_22 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f1568,plain,
( r1(sK58,sK59(sK70))
| p2(sK70)
| ~ r1(sK58,sK70)
| ~ spl71_23 ),
inference(resolution,[],[f1562,f275]) ).
fof(f275,plain,
! [X1] :
( r1(X1,sK59(X1))
| p2(X1)
| ~ r1(sK58,X1) ),
inference(cnf_transformation,[],[f152]) ).
fof(f1562,plain,
( ! [X0] :
( ~ r1(sK70,X0)
| r1(sK58,X0) )
| ~ spl71_23 ),
inference(resolution,[],[f382,f279]) ).
fof(f279,plain,
! [X2,X0,X1] :
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| r1(X0,X2) ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1,X2] :
( r1(X0,X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(flattening,[],[f10]) ).
fof(f10,plain,
! [X0,X1,X2] :
( r1(X0,X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] :
( ( r1(X1,X2)
& r1(X0,X1) )
=> r1(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).
fof(f6424,plain,
( p2(sK57(sK59(sK70)))
| ~ r1(sK58,sK59(sK70))
| p2(sK59(sK70))
| ~ spl71_21
| spl71_22
| ~ spl71_23
| ~ spl71_219 ),
inference(resolution,[],[f2850,f1834]) ).
fof(f1834,plain,
( ! [X0] :
( r1(sK56(X0),sK57(X0))
| ~ r1(sK58,X0)
| p2(X0) )
| ~ spl71_21 ),
inference(resolution,[],[f372,f245]) ).
fof(f245,plain,
! [X0,X1] :
( ~ sP0(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(sK56(X1),sK57(X1)) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0] :
( ! [X1] :
( ( p2(sK56(X1))
& ~ p2(sK57(X1))
& r1(sK56(X1),sK57(X1))
& r1(X1,sK56(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK56,sK57])],[f134,f136,f135]) ).
fof(f135,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK56(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK56(X1),X3) )
& r1(X1,sK56(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f136,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK56(X1),X3) )
=> ( ~ p2(sK57(X1))
& r1(sK56(X1),sK57(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f134,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP0(X0) ),
inference(rectify,[],[f133]) ).
fof(f133,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,[],[f12]) ).
fof(f372,plain,
( sP0(sK58)
| ~ spl71_21 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f2850,plain,
( ! [X0] :
( ~ r1(sK56(sK59(sK70)),X0)
| p2(X0) )
| ~ spl71_21
| spl71_22
| ~ spl71_23
| ~ spl71_219 ),
inference(subsumption_resolution,[],[f2849,f382]) ).
fof(f2849,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK56(sK59(sK70)),X0)
| ~ r1(sK58,sK70) )
| ~ spl71_21
| spl71_22
| ~ spl71_23
| ~ spl71_219 ),
inference(subsumption_resolution,[],[f2848,f377]) ).
fof(f2848,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK56(sK59(sK70)),X0)
| p2(sK70)
| ~ r1(sK58,sK70) )
| ~ spl71_21
| spl71_22
| ~ spl71_23
| ~ spl71_219 ),
inference(subsumption_resolution,[],[f2847,f1593]) ).
fof(f2847,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK56(sK59(sK70)),X0)
| ~ r1(sK58,sK59(sK70))
| p2(sK70)
| ~ r1(sK58,sK70) )
| ~ spl71_21
| ~ spl71_219 ),
inference(resolution,[],[f1927,f1872]) ).
fof(f1872,plain,
( p2(sK56(sK59(sK70)))
| ~ spl71_219 ),
inference(avatar_component_clause,[],[f1870]) ).
fof(f1927,plain,
( ! [X0,X1] :
( ~ p2(sK56(sK59(X0)))
| p2(X1)
| ~ r1(sK56(sK59(X0)),X1)
| ~ r1(sK58,sK59(X0))
| p2(X0)
| ~ r1(sK58,X0) )
| ~ spl71_21 ),
inference(subsumption_resolution,[],[f1913,f276]) ).
fof(f1913,plain,
( ! [X0,X1] :
( ~ r1(sK58,sK59(X0))
| p2(sK59(X0))
| p2(X1)
| ~ r1(sK56(sK59(X0)),X1)
| ~ p2(sK56(sK59(X0)))
| p2(X0)
| ~ r1(sK58,X0) )
| ~ spl71_21 ),
inference(resolution,[],[f1835,f277]) ).
fof(f1835,plain,
( ! [X0] :
( r1(X0,sK56(X0))
| ~ r1(sK58,X0)
| p2(X0) )
| ~ spl71_21 ),
inference(resolution,[],[f372,f244]) ).
fof(f244,plain,
! [X0,X1] :
( ~ sP0(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(X1,sK56(X1)) ),
inference(cnf_transformation,[],[f137]) ).
fof(f8761,plain,
( ~ spl71_21
| spl71_22
| ~ spl71_23
| spl71_220
| ~ spl71_606 ),
inference(avatar_contradiction_clause,[],[f8760]) ).
fof(f8760,plain,
( $false
| ~ spl71_21
| spl71_22
| ~ spl71_23
| spl71_220
| ~ spl71_606 ),
inference(subsumption_resolution,[],[f8759,f1593]) ).
fof(f8759,plain,
( ~ r1(sK58,sK59(sK70))
| ~ spl71_21
| spl71_220
| ~ spl71_606 ),
inference(resolution,[],[f6121,f372]) ).
fof(f6121,plain,
( ! [X0] :
( ~ sP0(X0)
| ~ r1(X0,sK59(sK70)) )
| spl71_220
| ~ spl71_606 ),
inference(subsumption_resolution,[],[f6120,f1875]) ).
fof(f6120,plain,
( ! [X0] :
( p2(sK59(sK70))
| ~ r1(X0,sK59(sK70))
| ~ sP0(X0) )
| ~ spl71_606 ),
inference(resolution,[],[f6104,f246]) ).
fof(f246,plain,
! [X0,X1] :
( ~ p2(sK57(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f6104,plain,
( p2(sK57(sK59(sK70)))
| ~ spl71_606 ),
inference(avatar_component_clause,[],[f6103]) ).
fof(f2991,plain,
( spl71_22
| ~ spl71_23
| ~ spl71_220 ),
inference(avatar_contradiction_clause,[],[f2990]) ).
fof(f2990,plain,
( $false
| spl71_22
| ~ spl71_23
| ~ spl71_220 ),
inference(subsumption_resolution,[],[f2989,f382]) ).
fof(f2989,plain,
( ~ r1(sK58,sK70)
| spl71_22
| ~ spl71_220 ),
inference(subsumption_resolution,[],[f2988,f377]) ).
fof(f2988,plain,
( p2(sK70)
| ~ r1(sK58,sK70)
| ~ spl71_220 ),
inference(resolution,[],[f1876,f276]) ).
fof(f1876,plain,
( p2(sK59(sK70))
| ~ spl71_220 ),
inference(avatar_component_clause,[],[f1874]) ).
fof(f1877,plain,
( spl71_219
| spl71_220
| ~ spl71_21
| spl71_22
| ~ spl71_23 ),
inference(avatar_split_clause,[],[f1839,f380,f375,f370,f1874,f1870]) ).
fof(f1839,plain,
( p2(sK59(sK70))
| p2(sK56(sK59(sK70)))
| ~ spl71_21
| spl71_22
| ~ spl71_23 ),
inference(resolution,[],[f1836,f1593]) ).
fof(f1836,plain,
( ! [X0] :
( ~ r1(sK58,X0)
| p2(X0)
| p2(sK56(X0)) )
| ~ spl71_21 ),
inference(resolution,[],[f372,f247]) ).
fof(f247,plain,
! [X0,X1] :
( ~ sP0(X0)
| p2(X1)
| ~ r1(X0,X1)
| p2(sK56(X1)) ),
inference(cnf_transformation,[],[f137]) ).
fof(f1823,plain,
( spl71_169
| ~ spl71_20 ),
inference(avatar_split_clause,[],[f1822,f366,f1451]) ).
fof(f1451,plain,
( spl71_169
<=> r1(sK58,sK55(sK58)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_169])]) ).
fof(f366,plain,
( spl71_20
<=> sP1(sK58) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_20])]) ).
fof(f1822,plain,
( r1(sK58,sK55(sK58))
| ~ spl71_20 ),
inference(subsumption_resolution,[],[f1812,f368]) ).
fof(f368,plain,
( sP1(sK58)
| ~ spl71_20 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f1812,plain,
( r1(sK58,sK55(sK58))
| ~ sP1(sK58)
| ~ spl71_20 ),
inference(resolution,[],[f1710,f242]) ).
fof(f242,plain,
! [X0] :
( r1(sK54(X0),sK55(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0] :
( ( ! [X3] :
( ~ p5(X3)
| ~ r1(sK55(X0),X3) )
& r1(sK54(X0),sK55(X0))
& ~ p1(sK54(X0))
& r1(X0,sK54(X0)) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK54,sK55])],[f129,f131,f130]) ).
fof(f130,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ! [X3] :
( ~ p5(X3)
| ~ r1(X2,X3) )
& r1(X1,X2) )
& ~ p1(X1)
& r1(X0,X1) )
=> ( ? [X2] :
( ! [X3] :
( ~ p5(X3)
| ~ r1(X2,X3) )
& r1(sK54(X0),X2) )
& ~ p1(sK54(X0))
& r1(X0,sK54(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f131,plain,
! [X0] :
( ? [X2] :
( ! [X3] :
( ~ p5(X3)
| ~ r1(X2,X3) )
& r1(sK54(X0),X2) )
=> ( ! [X3] :
( ~ p5(X3)
| ~ r1(sK55(X0),X3) )
& r1(sK54(X0),sK55(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ! [X3] :
( ~ p5(X3)
| ~ r1(X2,X3) )
& r1(X1,X2) )
& ~ p1(X1)
& r1(X0,X1) )
| ~ sP1(X0) ),
inference(rectify,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ? [X90] :
( ? [X91] :
( ! [X92] :
( ~ p5(X92)
| ~ r1(X91,X92) )
& r1(X90,X91) )
& ~ p1(X90)
& r1(X0,X90) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f13]) ).
fof(f1710,plain,
( ! [X0] :
( ~ r1(sK54(sK58),X0)
| r1(sK58,X0) )
| ~ spl71_20 ),
inference(resolution,[],[f368,f569]) ).
fof(f569,plain,
! [X0,X1] :
( ~ sP1(X0)
| r1(X0,X1)
| ~ r1(sK54(X0),X1) ),
inference(resolution,[],[f279,f240]) ).
fof(f240,plain,
! [X0] :
( r1(X0,sK54(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f1762,plain,
( ~ spl71_169
| ~ spl71_17
| ~ spl71_19
| ~ spl71_20 ),
inference(avatar_split_clause,[],[f1761,f366,f362,f354,f1451]) ).
fof(f354,plain,
( spl71_17
<=> ! [X16] :
( p5(sK66(X16))
| ~ r1(sK58,X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_17])]) ).
fof(f362,plain,
( spl71_19
<=> ! [X16] :
( r1(X16,sK66(X16))
| ~ r1(sK58,X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_19])]) ).
fof(f1761,plain,
( ~ r1(sK58,sK55(sK58))
| ~ spl71_17
| ~ spl71_19
| ~ spl71_20 ),
inference(subsumption_resolution,[],[f1743,f355]) ).
fof(f355,plain,
( ! [X16] :
( ~ r1(sK58,X16)
| p5(sK66(X16)) )
| ~ spl71_17 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f1743,plain,
( ~ p5(sK66(sK55(sK58)))
| ~ r1(sK58,sK55(sK58))
| ~ spl71_19
| ~ spl71_20 ),
inference(resolution,[],[f1711,f363]) ).
fof(f363,plain,
( ! [X16] :
( r1(X16,sK66(X16))
| ~ r1(sK58,X16) )
| ~ spl71_19 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f1711,plain,
( ! [X0] :
( ~ r1(sK55(sK58),X0)
| ~ p5(X0) )
| ~ spl71_20 ),
inference(resolution,[],[f368,f243]) ).
fof(f243,plain,
! [X3,X0] :
( ~ sP1(X0)
| ~ r1(sK55(X0),X3)
| ~ p5(X3) ),
inference(cnf_transformation,[],[f132]) ).
fof(f1155,plain,
( ~ spl71_18
| ~ spl71_115 ),
inference(avatar_contradiction_clause,[],[f1154]) ).
fof(f1154,plain,
( $false
| ~ spl71_18
| ~ spl71_115 ),
inference(subsumption_resolution,[],[f1153,f359]) ).
fof(f1153,plain,
( ~ sP3(sK58)
| ~ spl71_115 ),
inference(resolution,[],[f1028,f234]) ).
fof(f234,plain,
! [X0] :
( ~ p2(sK51(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f1028,plain,
( p2(sK51(sK58))
| ~ spl71_115 ),
inference(avatar_component_clause,[],[f1026]) ).
fof(f1099,plain,
( spl71_124
| ~ spl71_18 ),
inference(avatar_split_clause,[],[f1056,f357,f1081]) ).
fof(f1056,plain,
( r1(sK58,sK51(sK58))
| ~ spl71_18 ),
inference(resolution,[],[f1040,f278]) ).
fof(f278,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f1040,plain,
( ! [X0] :
( ~ r1(sK51(sK58),X0)
| r1(sK58,X0) )
| ~ spl71_18 ),
inference(resolution,[],[f568,f359]) ).
fof(f568,plain,
! [X0,X1] :
( ~ sP3(X0)
| r1(X0,X1)
| ~ r1(sK51(X0),X1) ),
inference(resolution,[],[f279,f233]) ).
fof(f233,plain,
! [X0] :
( r1(X0,sK51(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f1088,plain,
( ~ spl71_124
| spl71_115
| spl71_125
| ~ spl71_18 ),
inference(avatar_split_clause,[],[f1059,f357,f1085,f1026,f1081]) ).
fof(f1059,plain,
( r1(sK58,sK59(sK51(sK58)))
| p2(sK51(sK58))
| ~ r1(sK58,sK51(sK58))
| ~ spl71_18 ),
inference(resolution,[],[f1040,f275]) ).
fof(f383,plain,
( spl71_20
| spl71_23 ),
inference(avatar_split_clause,[],[f248,f380,f366]) ).
fof(f248,plain,
( r1(sK58,sK70)
| sP1(sK58) ),
inference(cnf_transformation,[],[f152]) ).
fof(f378,plain,
( spl71_20
| ~ spl71_22 ),
inference(avatar_split_clause,[],[f249,f375,f366]) ).
fof(f249,plain,
( ~ p2(sK70)
| sP1(sK58) ),
inference(cnf_transformation,[],[f152]) ).
fof(f373,plain,
( spl71_20
| spl71_21 ),
inference(avatar_split_clause,[],[f250,f370,f366]) ).
fof(f250,plain,
( sP0(sK58)
| sP1(sK58) ),
inference(cnf_transformation,[],[f152]) ).
fof(f364,plain,
( spl71_19
| spl71_18 ),
inference(avatar_split_clause,[],[f257,f357,f362]) ).
fof(f257,plain,
! [X16] :
( sP3(sK58)
| r1(X16,sK66(X16))
| ~ r1(sK58,X16) ),
inference(cnf_transformation,[],[f152]) ).
fof(f360,plain,
( spl71_17
| spl71_18 ),
inference(avatar_split_clause,[],[f258,f357,f354]) ).
fof(f258,plain,
! [X16] :
( sP3(sK58)
| p5(sK66(X16))
| ~ r1(sK58,X16) ),
inference(cnf_transformation,[],[f152]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL676+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 : n025.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 03:04:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (21154)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (21155)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (21159)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (21158)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37 % (21160)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 % (21157)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)
% 0.14/0.37 % (21161)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)
% 0.14/0.37 % (21156)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [2]
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [4]
% 0.14/0.39 TRYING [4]
% 0.14/0.39 TRYING [3]
% 0.22/0.40 TRYING [4]
% 0.22/0.40 TRYING [4]
% 0.22/0.41 TRYING [5]
% 0.22/0.41 TRYING [5]
% 0.22/0.43 TRYING [5]
% 0.22/0.43 TRYING [5]
% 0.22/0.44 TRYING [6]
% 0.22/0.45 TRYING [6]
% 0.22/0.47 TRYING [6]
% 0.22/0.48 TRYING [6]
% 0.22/0.50 TRYING [7]
% 0.22/0.53 TRYING [7]
% 0.22/0.55 TRYING [7]
% 0.22/0.55 TRYING [7]
% 0.22/0.59 TRYING [8]
% 2.04/0.67 % (21160)First to succeed.
% 2.04/0.67 % (21160)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-21154"
% 2.04/0.68 TRYING [8]
% 2.04/0.68 % (21160)Refutation found. Thanks to Tanya!
% 2.04/0.68 % SZS status Theorem for theBenchmark
% 2.04/0.68 % SZS output start Proof for theBenchmark
% See solution above
% 2.04/0.68 % (21160)------------------------------
% 2.04/0.68 % (21160)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.04/0.68 % (21160)Termination reason: Refutation
% 2.04/0.68
% 2.04/0.68 % (21160)Memory used [KB]: 8004
% 2.04/0.68 % (21160)Time elapsed: 0.304 s
% 2.04/0.68 % (21160)Instructions burned: 813 (million)
% 2.04/0.68 % (21154)Success in time 0.305 s
%------------------------------------------------------------------------------