TSTP Solution File: LCL642+1.001 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LCL642+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 17:43:33 EDT 2022
% Result : Theorem 2.58s 0.76s
% Output : Refutation 2.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 74
% Syntax : Number of formulae : 367 ( 5 unt; 0 def)
% Number of atoms : 2538 ( 0 equ)
% Maximal formula atoms : 107 ( 6 avg)
% Number of connectives : 3660 (1489 ~;1616 |; 488 &)
% ( 39 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 37 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 50 ( 49 usr; 40 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 5 con; 0-1 aty)
% Number of variables : 825 ( 617 !; 208 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3100,plain,
$false,
inference(avatar_sat_refutation,[],[f139,f144,f149,f153,f157,f296,f550,f594,f604,f764,f898,f1164,f1170,f1434,f1623,f1628,f1699,f1750,f1889,f1908,f1964,f1974,f2163,f2169,f2228,f2365,f2372,f2381,f2402,f2408,f2521,f2537,f2548,f2669,f2712,f2747,f2751,f2914,f2917,f2949,f3099]) ).
fof(f3099,plain,
( ~ spl36_316
| spl36_396
| ~ spl36_452
| ~ spl36_480 ),
inference(avatar_contradiction_clause,[],[f3098]) ).
fof(f3098,plain,
( $false
| ~ spl36_316
| spl36_396
| ~ spl36_452
| ~ spl36_480 ),
inference(subsumption_resolution,[],[f3097,f2912]) ).
fof(f2912,plain,
( r1(sK22(sK29),sK23(sK29))
| ~ spl36_480 ),
inference(avatar_component_clause,[],[f2911]) ).
fof(f2911,plain,
( spl36_480
<=> r1(sK22(sK29),sK23(sK29)) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_480])]) ).
fof(f3097,plain,
( ~ r1(sK22(sK29),sK23(sK29))
| ~ spl36_316
| spl36_396
| ~ spl36_452
| ~ spl36_480 ),
inference(resolution,[],[f3088,f1904]) ).
fof(f1904,plain,
( sP2(sK22(sK29))
| ~ spl36_316 ),
inference(avatar_component_clause,[],[f1902]) ).
fof(f1902,plain,
( spl36_316
<=> sP2(sK22(sK29)) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_316])]) ).
fof(f3088,plain,
( ! [X0] :
( ~ sP2(X0)
| ~ r1(X0,sK23(sK29)) )
| ~ spl36_316
| spl36_396
| ~ spl36_452
| ~ spl36_480 ),
inference(subsumption_resolution,[],[f3072,f2363]) ).
fof(f2363,plain,
( ~ p2(sK23(sK29))
| spl36_396 ),
inference(avatar_component_clause,[],[f2362]) ).
fof(f2362,plain,
( spl36_396
<=> p2(sK23(sK29)) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_396])]) ).
fof(f3072,plain,
( ! [X0] :
( p2(sK23(sK29))
| ~ sP2(X0)
| ~ r1(X0,sK23(sK29)) )
| ~ spl36_316
| spl36_396
| ~ spl36_452
| ~ spl36_480 ),
inference(resolution,[],[f3071,f86]) ).
fof(f86,plain,
! [X0,X1] :
( ~ p2(sK15(X1))
| ~ sP2(X0)
| ~ r1(X0,X1)
| p2(X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ( ! [X1] :
( p2(X1)
| ( p2(sK14(X1))
& r1(X1,sK14(X1))
& r1(sK14(X1),sK15(X1))
& ~ p2(sK15(X1)) )
| ~ r1(X0,X1) )
& r1(X0,sK16(X0))
& ~ p2(sK17(X0))
& r1(sK16(X0),sK17(X0))
& ! [X6] :
( ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(sK17(X0),X6)
| ~ p2(X6) ) )
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16,sK17])],[f32,f36,f35,f34,f33]) ).
fof(f33,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& r1(X1,X2)
& ? [X3] :
( r1(X2,X3)
& ~ p2(X3) ) )
=> ( p2(sK14(X1))
& r1(X1,sK14(X1))
& ? [X3] :
( r1(sK14(X1),X3)
& ~ p2(X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
! [X1] :
( ? [X3] :
( r1(sK14(X1),X3)
& ~ p2(X3) )
=> ( r1(sK14(X1),sK15(X1))
& ~ p2(sK15(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
! [X0] :
( ? [X4] :
( r1(X0,X4)
& ? [X5] :
( ~ p2(X5)
& r1(X4,X5)
& ! [X6] :
( ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6)
| ~ p2(X6) ) ) )
=> ( r1(X0,sK16(X0))
& ? [X5] :
( ~ p2(X5)
& r1(sK16(X0),X5)
& ! [X6] :
( ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6)
| ~ p2(X6) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
! [X0] :
( ? [X5] :
( ~ p2(X5)
& r1(sK16(X0),X5)
& ! [X6] :
( ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6)
| ~ p2(X6) ) )
=> ( ~ p2(sK17(X0))
& r1(sK16(X0),sK17(X0))
& ! [X6] :
( ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(sK17(X0),X6)
| ~ p2(X6) ) ) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
! [X0] :
( ( ! [X1] :
( p2(X1)
| ? [X2] :
( p2(X2)
& r1(X1,X2)
& ? [X3] :
( r1(X2,X3)
& ~ p2(X3) ) )
| ~ r1(X0,X1) )
& ? [X4] :
( r1(X0,X4)
& ? [X5] :
( ~ p2(X5)
& r1(X4,X5)
& ! [X6] :
( ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6)
| ~ p2(X6) ) ) ) )
| ~ sP2(X0) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
! [X18] :
( ( ! [X31] :
( p2(X31)
| ? [X32] :
( p2(X32)
& r1(X31,X32)
& ? [X33] :
( r1(X32,X33)
& ~ p2(X33) ) )
| ~ r1(X18,X31) )
& ? [X34] :
( r1(X18,X34)
& ? [X35] :
( ~ p2(X35)
& r1(X34,X35)
& ! [X36] :
( ! [X37] :
( p2(X37)
| ~ r1(X36,X37) )
| ~ r1(X35,X36)
| ~ p2(X36) ) ) ) )
| ~ sP2(X18) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X18] :
( ( ! [X31] :
( p2(X31)
| ? [X32] :
( p2(X32)
& r1(X31,X32)
& ? [X33] :
( r1(X32,X33)
& ~ p2(X33) ) )
| ~ r1(X18,X31) )
& ? [X34] :
( r1(X18,X34)
& ? [X35] :
( ~ p2(X35)
& r1(X34,X35)
& ! [X36] :
( ! [X37] :
( p2(X37)
| ~ r1(X36,X37) )
| ~ r1(X35,X36)
| ~ p2(X36) ) ) ) )
| ~ sP2(X18) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f3071,plain,
( p2(sK15(sK23(sK29)))
| ~ spl36_316
| spl36_396
| ~ spl36_452
| ~ spl36_480 ),
inference(subsumption_resolution,[],[f3070,f2363]) ).
fof(f3070,plain,
( p2(sK23(sK29))
| p2(sK15(sK23(sK29)))
| ~ spl36_316
| ~ spl36_452
| ~ spl36_480 ),
inference(subsumption_resolution,[],[f3069,f2912]) ).
fof(f3069,plain,
( p2(sK15(sK23(sK29)))
| ~ r1(sK22(sK29),sK23(sK29))
| p2(sK23(sK29))
| ~ spl36_316
| ~ spl36_452 ),
inference(resolution,[],[f2950,f2711]) ).
fof(f2711,plain,
( ! [X1] :
( ~ r1(sK14(sK23(sK29)),X1)
| p2(X1) )
| ~ spl36_452 ),
inference(avatar_component_clause,[],[f2710]) ).
fof(f2710,plain,
( spl36_452
<=> ! [X1] :
( p2(X1)
| ~ r1(sK14(sK23(sK29)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_452])]) ).
fof(f2950,plain,
( ! [X0] :
( r1(sK14(X0),sK15(X0))
| p2(X0)
| ~ r1(sK22(sK29),X0) )
| ~ spl36_316 ),
inference(resolution,[],[f1904,f87]) ).
fof(f87,plain,
! [X0,X1] :
( ~ sP2(X0)
| ~ r1(X0,X1)
| r1(sK14(X1),sK15(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f2949,plain,
( ~ spl36_315
| spl36_396
| ~ spl36_476
| ~ spl36_480 ),
inference(avatar_contradiction_clause,[],[f2948]) ).
fof(f2948,plain,
( $false
| ~ spl36_315
| spl36_396
| ~ spl36_476
| ~ spl36_480 ),
inference(subsumption_resolution,[],[f2947,f2912]) ).
fof(f2947,plain,
( ~ r1(sK22(sK29),sK23(sK29))
| ~ spl36_315
| spl36_396
| ~ spl36_476 ),
inference(resolution,[],[f2928,f1900]) ).
fof(f1900,plain,
( sP3(sK22(sK29))
| ~ spl36_315 ),
inference(avatar_component_clause,[],[f1898]) ).
fof(f1898,plain,
( spl36_315
<=> sP3(sK22(sK29)) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_315])]) ).
fof(f2928,plain,
( ! [X0] :
( ~ sP3(X0)
| ~ r1(X0,sK23(sK29)) )
| spl36_396
| ~ spl36_476 ),
inference(subsumption_resolution,[],[f2918,f2363]) ).
fof(f2918,plain,
( ! [X0] :
( p2(sK23(sK29))
| ~ r1(X0,sK23(sK29))
| ~ sP3(X0) )
| ~ spl36_476 ),
inference(resolution,[],[f2888,f79]) ).
fof(f79,plain,
! [X0,X1] :
( ~ p2(sK12(X1))
| p2(X1)
| ~ sP3(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] :
( ! [X1] :
( ( ( ( p2(sK11(X1))
& r1(sK11(X1),sK12(X1))
& ~ p2(sK12(X1))
& r1(X1,sK11(X1)) )
| p2(X1) )
& ( ( ~ p2(sK13(X1))
& r1(X1,sK13(X1))
& ! [X5] :
( ! [X6] :
( ~ r1(X5,X6)
| p2(X6) )
| ~ p2(X5)
| ~ r1(sK13(X1),X5) ) )
| sP1(X1) ) )
| ~ r1(X0,X1) )
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13])],[f26,f29,f28,f27]) ).
fof(f27,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( r1(X2,X3)
& ~ p2(X3) )
& r1(X1,X2) )
=> ( p2(sK11(X1))
& ? [X3] :
( r1(sK11(X1),X3)
& ~ p2(X3) )
& r1(X1,sK11(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
! [X1] :
( ? [X3] :
( r1(sK11(X1),X3)
& ~ p2(X3) )
=> ( r1(sK11(X1),sK12(X1))
& ~ p2(sK12(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
! [X1] :
( ? [X4] :
( ~ p2(X4)
& r1(X1,X4)
& ! [X5] :
( ! [X6] :
( ~ r1(X5,X6)
| p2(X6) )
| ~ p2(X5)
| ~ r1(X4,X5) ) )
=> ( ~ p2(sK13(X1))
& r1(X1,sK13(X1))
& ! [X5] :
( ! [X6] :
( ~ r1(X5,X6)
| p2(X6) )
| ~ p2(X5)
| ~ r1(sK13(X1),X5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
! [X0] :
( ! [X1] :
( ( ( ? [X2] :
( p2(X2)
& ? [X3] :
( r1(X2,X3)
& ~ p2(X3) )
& r1(X1,X2) )
| p2(X1) )
& ( ? [X4] :
( ~ p2(X4)
& r1(X1,X4)
& ! [X5] :
( ! [X6] :
( ~ r1(X5,X6)
| p2(X6) )
| ~ p2(X5)
| ~ r1(X4,X5) ) )
| sP1(X1) ) )
| ~ r1(X0,X1) )
| ~ sP3(X0) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X18] :
( ! [X19] :
( ( ( ? [X27] :
( p2(X27)
& ? [X28] :
( r1(X27,X28)
& ~ p2(X28) )
& r1(X19,X27) )
| p2(X19) )
& ( ? [X20] :
( ~ p2(X20)
& r1(X19,X20)
& ! [X21] :
( ! [X22] :
( ~ r1(X21,X22)
| p2(X22) )
| ~ p2(X21)
| ~ r1(X20,X21) ) )
| sP1(X19) ) )
| ~ r1(X18,X19) )
| ~ sP3(X18) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X18] :
( ! [X19] :
( ( ( ? [X27] :
( p2(X27)
& ? [X28] :
( r1(X27,X28)
& ~ p2(X28) )
& r1(X19,X27) )
| p2(X19) )
& ( ? [X20] :
( ~ p2(X20)
& r1(X19,X20)
& ! [X21] :
( ! [X22] :
( ~ r1(X21,X22)
| p2(X22) )
| ~ p2(X21)
| ~ r1(X20,X21) ) )
| sP1(X19) ) )
| ~ r1(X18,X19) )
| ~ sP3(X18) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f2888,plain,
( p2(sK12(sK23(sK29)))
| ~ spl36_476 ),
inference(avatar_component_clause,[],[f2886]) ).
fof(f2886,plain,
( spl36_476
<=> p2(sK12(sK23(sK29))) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_476])]) ).
fof(f2917,plain,
( ~ spl36_2
| spl36_480 ),
inference(avatar_contradiction_clause,[],[f2916]) ).
fof(f2916,plain,
( $false
| ~ spl36_2
| spl36_480 ),
inference(subsumption_resolution,[],[f2915,f135]) ).
fof(f135,plain,
( sP0(sK29)
| ~ spl36_2 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f133,plain,
( spl36_2
<=> sP0(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_2])]) ).
fof(f2915,plain,
( ~ sP0(sK29)
| spl36_480 ),
inference(resolution,[],[f2913,f96]) ).
fof(f96,plain,
! [X0] :
( r1(sK22(X0),sK23(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ( ! [X1] :
( ( r1(X1,sK20(X1))
& p2(sK20(X1))
& r1(sK20(X1),sK21(X1))
& ~ p2(sK21(X1)) )
| ~ r1(X0,X1)
| p2(X1) )
& r1(X0,sK22(X0))
& r1(sK22(X0),sK23(X0))
& ! [X6] :
( ~ r1(sK23(X0),X6)
| ~ p2(X6)
| ! [X7] :
( ~ r1(X6,X7)
| p2(X7) ) )
& ~ p2(sK23(X0)) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23])],[f44,f48,f47,f46,f45]) ).
fof(f45,plain,
! [X1] :
( ? [X2] :
( r1(X1,X2)
& p2(X2)
& ? [X3] :
( r1(X2,X3)
& ~ p2(X3) ) )
=> ( r1(X1,sK20(X1))
& p2(sK20(X1))
& ? [X3] :
( r1(sK20(X1),X3)
& ~ p2(X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
! [X1] :
( ? [X3] :
( r1(sK20(X1),X3)
& ~ p2(X3) )
=> ( r1(sK20(X1),sK21(X1))
& ~ p2(sK21(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
! [X0] :
( ? [X4] :
( r1(X0,X4)
& ? [X5] :
( r1(X4,X5)
& ! [X6] :
( ~ r1(X5,X6)
| ~ p2(X6)
| ! [X7] :
( ~ r1(X6,X7)
| p2(X7) ) )
& ~ p2(X5) ) )
=> ( r1(X0,sK22(X0))
& ? [X5] :
( r1(sK22(X0),X5)
& ! [X6] :
( ~ r1(X5,X6)
| ~ p2(X6)
| ! [X7] :
( ~ r1(X6,X7)
| p2(X7) ) )
& ~ p2(X5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
! [X0] :
( ? [X5] :
( r1(sK22(X0),X5)
& ! [X6] :
( ~ r1(X5,X6)
| ~ p2(X6)
| ! [X7] :
( ~ r1(X6,X7)
| p2(X7) ) )
& ~ p2(X5) )
=> ( r1(sK22(X0),sK23(X0))
& ! [X6] :
( ~ r1(sK23(X0),X6)
| ~ p2(X6)
| ! [X7] :
( ~ r1(X6,X7)
| p2(X7) ) )
& ~ p2(sK23(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
! [X0] :
( ( ! [X1] :
( ? [X2] :
( r1(X1,X2)
& p2(X2)
& ? [X3] :
( r1(X2,X3)
& ~ p2(X3) ) )
| ~ r1(X0,X1)
| p2(X1) )
& ? [X4] :
( r1(X0,X4)
& ? [X5] :
( r1(X4,X5)
& ! [X6] :
( ~ r1(X5,X6)
| ~ p2(X6)
| ! [X7] :
( ~ r1(X6,X7)
| p2(X7) ) )
& ~ p2(X5) ) ) )
| ~ sP0(X0) ),
inference(rectify,[],[f43]) ).
fof(f43,plain,
! [X17] :
( ( ! [X44] :
( ? [X45] :
( r1(X44,X45)
& p2(X45)
& ? [X46] :
( r1(X45,X46)
& ~ p2(X46) ) )
| ~ r1(X17,X44)
| p2(X44) )
& ? [X40] :
( r1(X17,X40)
& ? [X41] :
( r1(X40,X41)
& ! [X42] :
( ~ r1(X41,X42)
| ~ p2(X42)
| ! [X43] :
( ~ r1(X42,X43)
| p2(X43) ) )
& ~ p2(X41) ) ) )
| ~ sP0(X17) ),
inference(nnf_transformation,[],[f7]) ).
fof(f7,plain,
! [X17] :
( ( ! [X44] :
( ? [X45] :
( r1(X44,X45)
& p2(X45)
& ? [X46] :
( r1(X45,X46)
& ~ p2(X46) ) )
| ~ r1(X17,X44)
| p2(X44) )
& ? [X40] :
( r1(X17,X40)
& ? [X41] :
( r1(X40,X41)
& ! [X42] :
( ~ r1(X41,X42)
| ~ p2(X42)
| ! [X43] :
( ~ r1(X42,X43)
| p2(X43) ) )
& ~ p2(X41) ) ) )
| ~ sP0(X17) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f2913,plain,
( ~ r1(sK22(sK29),sK23(sK29))
| spl36_480 ),
inference(avatar_component_clause,[],[f2911]) ).
fof(f2914,plain,
( ~ spl36_480
| spl36_476
| ~ spl36_315
| spl36_396
| ~ spl36_398 ),
inference(avatar_split_clause,[],[f2909,f2379,f2362,f1898,f2886,f2911]) ).
fof(f2379,plain,
( spl36_398
<=> ! [X1] :
( ~ r1(sK11(sK23(sK29)),X1)
| p2(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_398])]) ).
fof(f2909,plain,
( p2(sK12(sK23(sK29)))
| ~ r1(sK22(sK29),sK23(sK29))
| ~ spl36_315
| spl36_396
| ~ spl36_398 ),
inference(subsumption_resolution,[],[f2902,f2363]) ).
fof(f2902,plain,
( p2(sK23(sK29))
| p2(sK12(sK23(sK29)))
| ~ r1(sK22(sK29),sK23(sK29))
| ~ spl36_315
| ~ spl36_398 ),
inference(resolution,[],[f2753,f2380]) ).
fof(f2380,plain,
( ! [X1] :
( ~ r1(sK11(sK23(sK29)),X1)
| p2(X1) )
| ~ spl36_398 ),
inference(avatar_component_clause,[],[f2379]) ).
fof(f2753,plain,
( ! [X3] :
( r1(sK11(X3),sK12(X3))
| p2(X3)
| ~ r1(sK22(sK29),X3) )
| ~ spl36_315 ),
inference(resolution,[],[f1900,f80]) ).
fof(f80,plain,
! [X0,X1] :
( ~ sP3(X0)
| r1(sK11(X1),sK12(X1))
| ~ r1(X0,X1)
| p2(X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f2751,plain,
( spl36_345
| ~ spl36_82
| ~ spl36_317
| ~ spl36_427 ),
inference(avatar_split_clause,[],[f2750,f2544,f1906,f547,f2057]) ).
fof(f2057,plain,
( spl36_345
<=> ! [X1] :
( ~ r1(sK20(sK22(sK29)),X1)
| p2(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_345])]) ).
fof(f547,plain,
( spl36_82
<=> p2(sK20(sK22(sK29))) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_82])]) ).
fof(f1906,plain,
( spl36_317
<=> ! [X0,X1] :
( ~ p2(X0)
| ~ r1(X0,X1)
| p2(X1)
| ~ r1(sK22(sK29),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_317])]) ).
fof(f2544,plain,
( spl36_427
<=> r1(sK22(sK29),sK20(sK22(sK29))) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_427])]) ).
fof(f2750,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK20(sK22(sK29)),X0) )
| ~ spl36_82
| ~ spl36_317
| ~ spl36_427 ),
inference(subsumption_resolution,[],[f2749,f549]) ).
fof(f549,plain,
( p2(sK20(sK22(sK29)))
| ~ spl36_82 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f2749,plain,
( ! [X0] :
( ~ p2(sK20(sK22(sK29)))
| ~ r1(sK20(sK22(sK29)),X0)
| p2(X0) )
| ~ spl36_317
| ~ spl36_427 ),
inference(resolution,[],[f2546,f1907]) ).
fof(f1907,plain,
( ! [X0,X1] :
( ~ r1(sK22(sK29),X0)
| p2(X1)
| ~ r1(X0,X1)
| ~ p2(X0) )
| ~ spl36_317 ),
inference(avatar_component_clause,[],[f1906]) ).
fof(f2546,plain,
( r1(sK22(sK29),sK20(sK22(sK29)))
| ~ spl36_427 ),
inference(avatar_component_clause,[],[f2544]) ).
fof(f2747,plain,
( ~ spl36_2
| ~ spl36_316
| spl36_396
| ~ spl36_451 ),
inference(avatar_contradiction_clause,[],[f2746]) ).
fof(f2746,plain,
( $false
| ~ spl36_2
| ~ spl36_316
| spl36_396
| ~ spl36_451 ),
inference(subsumption_resolution,[],[f2745,f135]) ).
fof(f2745,plain,
( ~ sP0(sK29)
| ~ spl36_2
| ~ spl36_316
| spl36_396
| ~ spl36_451 ),
inference(resolution,[],[f2743,f2708]) ).
fof(f2708,plain,
( ! [X0] :
( ~ r1(sK23(X0),sK14(sK23(sK29)))
| ~ sP0(X0) )
| ~ spl36_451 ),
inference(avatar_component_clause,[],[f2707]) ).
fof(f2707,plain,
( spl36_451
<=> ! [X0] :
( ~ sP0(X0)
| ~ r1(sK23(X0),sK14(sK23(sK29))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_451])]) ).
fof(f2743,plain,
( r1(sK23(sK29),sK14(sK23(sK29)))
| ~ spl36_2
| ~ spl36_316
| spl36_396 ),
inference(subsumption_resolution,[],[f2742,f2363]) ).
fof(f2742,plain,
( p2(sK23(sK29))
| r1(sK23(sK29),sK14(sK23(sK29)))
| ~ spl36_2
| ~ spl36_316 ),
inference(subsumption_resolution,[],[f2735,f135]) ).
fof(f2735,plain,
( r1(sK23(sK29),sK14(sK23(sK29)))
| ~ sP0(sK29)
| p2(sK23(sK29))
| ~ spl36_316 ),
inference(resolution,[],[f2671,f96]) ).
fof(f2671,plain,
( ! [X1] :
( ~ r1(sK22(sK29),X1)
| p2(X1)
| r1(X1,sK14(X1)) )
| ~ spl36_316 ),
inference(resolution,[],[f1904,f88]) ).
fof(f88,plain,
! [X0,X1] :
( ~ sP2(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(X1,sK14(X1)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f2712,plain,
( spl36_451
| spl36_452
| ~ spl36_2
| ~ spl36_316
| spl36_396 ),
inference(avatar_split_clause,[],[f2692,f2362,f1902,f133,f2710,f2707]) ).
fof(f2692,plain,
( ! [X0,X1] :
( p2(X1)
| ~ sP0(X0)
| ~ r1(sK14(sK23(sK29)),X1)
| ~ r1(sK23(X0),sK14(sK23(sK29))) )
| ~ spl36_2
| ~ spl36_316
| spl36_396 ),
inference(resolution,[],[f2690,f95]) ).
fof(f95,plain,
! [X0,X6,X7] :
( ~ p2(X6)
| ~ sP0(X0)
| ~ r1(sK23(X0),X6)
| p2(X7)
| ~ r1(X6,X7) ),
inference(cnf_transformation,[],[f49]) ).
fof(f2690,plain,
( p2(sK14(sK23(sK29)))
| ~ spl36_2
| ~ spl36_316
| spl36_396 ),
inference(subsumption_resolution,[],[f2689,f2363]) ).
fof(f2689,plain,
( p2(sK23(sK29))
| p2(sK14(sK23(sK29)))
| ~ spl36_2
| ~ spl36_316 ),
inference(subsumption_resolution,[],[f2681,f135]) ).
fof(f2681,plain,
( p2(sK14(sK23(sK29)))
| ~ sP0(sK29)
| p2(sK23(sK29))
| ~ spl36_316 ),
inference(resolution,[],[f2672,f96]) ).
fof(f2672,plain,
( ! [X2] :
( ~ r1(sK22(sK29),X2)
| p2(X2)
| p2(sK14(X2)) )
| ~ spl36_316 ),
inference(resolution,[],[f1904,f89]) ).
fof(f89,plain,
! [X0,X1] :
( ~ sP2(X0)
| p2(sK14(X1))
| ~ r1(X0,X1)
| p2(X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f2669,plain,
( ~ spl36_2
| ~ spl36_315
| spl36_396
| ~ spl36_397 ),
inference(avatar_contradiction_clause,[],[f2668]) ).
fof(f2668,plain,
( $false
| ~ spl36_2
| ~ spl36_315
| spl36_396
| ~ spl36_397 ),
inference(subsumption_resolution,[],[f2667,f135]) ).
fof(f2667,plain,
( ~ sP0(sK29)
| ~ spl36_2
| ~ spl36_315
| spl36_396
| ~ spl36_397 ),
inference(resolution,[],[f2666,f2377]) ).
fof(f2377,plain,
( ! [X0] :
( ~ r1(sK23(X0),sK11(sK23(sK29)))
| ~ sP0(X0) )
| ~ spl36_397 ),
inference(avatar_component_clause,[],[f2376]) ).
fof(f2376,plain,
( spl36_397
<=> ! [X0] :
( ~ r1(sK23(X0),sK11(sK23(sK29)))
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_397])]) ).
fof(f2666,plain,
( r1(sK23(sK29),sK11(sK23(sK29)))
| ~ spl36_2
| ~ spl36_315
| spl36_396 ),
inference(subsumption_resolution,[],[f2665,f135]) ).
fof(f2665,plain,
( r1(sK23(sK29),sK11(sK23(sK29)))
| ~ sP0(sK29)
| ~ spl36_315
| spl36_396 ),
inference(subsumption_resolution,[],[f2659,f2363]) ).
fof(f2659,plain,
( r1(sK23(sK29),sK11(sK23(sK29)))
| p2(sK23(sK29))
| ~ sP0(sK29)
| ~ spl36_315 ),
inference(resolution,[],[f2078,f96]) ).
fof(f2078,plain,
( ! [X4] :
( ~ r1(sK22(sK29),X4)
| r1(X4,sK11(X4))
| p2(X4) )
| ~ spl36_315 ),
inference(resolution,[],[f1900,f78]) ).
fof(f78,plain,
! [X0,X1] :
( ~ sP3(X0)
| r1(X1,sK11(X1))
| ~ r1(X0,X1)
| p2(X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f2548,plain,
( spl36_81
| spl36_427
| ~ spl36_2 ),
inference(avatar_split_clause,[],[f2222,f133,f2544,f543]) ).
fof(f543,plain,
( spl36_81
<=> p2(sK22(sK29)) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_81])]) ).
fof(f2222,plain,
( r1(sK22(sK29),sK20(sK22(sK29)))
| p2(sK22(sK29))
| ~ spl36_2 ),
inference(subsumption_resolution,[],[f2214,f135]) ).
fof(f2214,plain,
( r1(sK22(sK29),sK20(sK22(sK29)))
| ~ sP0(sK29)
| p2(sK22(sK29))
| ~ spl36_2 ),
inference(resolution,[],[f1910,f97]) ).
fof(f97,plain,
! [X0] :
( r1(X0,sK22(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f1910,plain,
( ! [X1] :
( ~ r1(sK29,X1)
| r1(X1,sK20(X1))
| p2(X1) )
| ~ spl36_2 ),
inference(resolution,[],[f135,f101]) ).
fof(f101,plain,
! [X0,X1] :
( ~ sP0(X0)
| ~ r1(X0,X1)
| r1(X1,sK20(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f2537,plain,
( ~ spl36_2
| spl36_81
| ~ spl36_328
| ~ spl36_345 ),
inference(avatar_contradiction_clause,[],[f2536]) ).
fof(f2536,plain,
( $false
| ~ spl36_2
| spl36_81
| ~ spl36_328
| ~ spl36_345 ),
inference(subsumption_resolution,[],[f2535,f1962]) ).
fof(f1962,plain,
( r1(sK29,sK22(sK29))
| ~ spl36_328 ),
inference(avatar_component_clause,[],[f1961]) ).
fof(f1961,plain,
( spl36_328
<=> r1(sK29,sK22(sK29)) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_328])]) ).
fof(f2535,plain,
( ~ r1(sK29,sK22(sK29))
| ~ spl36_2
| spl36_81
| ~ spl36_328
| ~ spl36_345 ),
inference(resolution,[],[f2443,f135]) ).
fof(f2443,plain,
( ! [X0] :
( ~ sP0(X0)
| ~ r1(X0,sK22(sK29)) )
| ~ spl36_2
| spl36_81
| ~ spl36_328
| ~ spl36_345 ),
inference(subsumption_resolution,[],[f2440,f544]) ).
fof(f544,plain,
( ~ p2(sK22(sK29))
| spl36_81 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f2440,plain,
( ! [X0] :
( p2(sK22(sK29))
| ~ sP0(X0)
| ~ r1(X0,sK22(sK29)) )
| ~ spl36_2
| spl36_81
| ~ spl36_328
| ~ spl36_345 ),
inference(resolution,[],[f2404,f98]) ).
fof(f98,plain,
! [X0,X1] :
( ~ p2(sK21(X1))
| ~ sP0(X0)
| p2(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f2404,plain,
( p2(sK21(sK22(sK29)))
| ~ spl36_2
| spl36_81
| ~ spl36_328
| ~ spl36_345 ),
inference(subsumption_resolution,[],[f2403,f544]) ).
fof(f2403,plain,
( p2(sK22(sK29))
| p2(sK21(sK22(sK29)))
| ~ spl36_2
| ~ spl36_328
| ~ spl36_345 ),
inference(subsumption_resolution,[],[f2395,f1962]) ).
fof(f2395,plain,
( ~ r1(sK29,sK22(sK29))
| p2(sK22(sK29))
| p2(sK21(sK22(sK29)))
| ~ spl36_2
| ~ spl36_345 ),
inference(resolution,[],[f1909,f2058]) ).
fof(f2058,plain,
( ! [X1] :
( ~ r1(sK20(sK22(sK29)),X1)
| p2(X1) )
| ~ spl36_345 ),
inference(avatar_component_clause,[],[f2057]) ).
fof(f1909,plain,
( ! [X0] :
( r1(sK20(X0),sK21(X0))
| p2(X0)
| ~ r1(sK29,X0) )
| ~ spl36_2 ),
inference(resolution,[],[f135,f99]) ).
fof(f99,plain,
! [X0,X1] :
( ~ sP0(X0)
| p2(X1)
| r1(sK20(X1),sK21(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f2521,plain,
( ~ spl36_2
| spl36_363
| ~ spl36_368
| ~ spl36_402 ),
inference(avatar_contradiction_clause,[],[f2520]) ).
fof(f2520,plain,
( $false
| ~ spl36_2
| spl36_363
| ~ spl36_368
| ~ spl36_402 ),
inference(subsumption_resolution,[],[f2519,f2187]) ).
fof(f2187,plain,
( r1(sK29,sK26(sK29))
| ~ spl36_368 ),
inference(avatar_component_clause,[],[f2186]) ).
fof(f2186,plain,
( spl36_368
<=> r1(sK29,sK26(sK29)) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_368])]) ).
fof(f2519,plain,
( ~ r1(sK29,sK26(sK29))
| ~ spl36_2
| spl36_363
| ~ spl36_402 ),
inference(resolution,[],[f2419,f135]) ).
fof(f2419,plain,
( ! [X0] :
( ~ sP0(X0)
| ~ r1(X0,sK26(sK29)) )
| spl36_363
| ~ spl36_402 ),
inference(subsumption_resolution,[],[f2416,f2161]) ).
fof(f2161,plain,
( ~ p2(sK26(sK29))
| spl36_363 ),
inference(avatar_component_clause,[],[f2160]) ).
fof(f2160,plain,
( spl36_363
<=> p2(sK26(sK29)) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_363])]) ).
fof(f2416,plain,
( ! [X0] :
( ~ r1(X0,sK26(sK29))
| p2(sK26(sK29))
| ~ sP0(X0) )
| ~ spl36_402 ),
inference(resolution,[],[f2401,f98]) ).
fof(f2401,plain,
( p2(sK21(sK26(sK29)))
| ~ spl36_402 ),
inference(avatar_component_clause,[],[f2399]) ).
fof(f2399,plain,
( spl36_402
<=> p2(sK21(sK26(sK29))) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_402])]) ).
fof(f2408,plain,
( spl36_4
| ~ spl36_5
| spl36_368 ),
inference(avatar_contradiction_clause,[],[f2407]) ).
fof(f2407,plain,
( $false
| spl36_4
| ~ spl36_5
| spl36_368 ),
inference(subsumption_resolution,[],[f2406,f143]) ).
fof(f143,plain,
( ~ p2(sK29)
| spl36_4 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f141,plain,
( spl36_4
<=> p2(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_4])]) ).
fof(f2406,plain,
( p2(sK29)
| ~ spl36_5
| spl36_368 ),
inference(subsumption_resolution,[],[f2405,f148]) ).
fof(f148,plain,
( r1(sK24,sK29)
| ~ spl36_5 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f146,plain,
( spl36_5
<=> r1(sK24,sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_5])]) ).
fof(f2405,plain,
( ~ r1(sK24,sK29)
| p2(sK29)
| spl36_368 ),
inference(resolution,[],[f2188,f123]) ).
fof(f123,plain,
! [X2] :
( r1(X2,sK26(X2))
| ~ r1(sK24,X2)
| p2(X2) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
( r1(sK24,sK25)
& ~ p3(sK25)
& ! [X2] :
( p2(X2)
| ~ r1(sK24,X2)
| ( ! [X4] :
( ~ p2(X4)
| ~ r1(sK26(X2),X4)
| ! [X5] :
( ~ r1(X4,X5)
| p2(X5) ) )
& ~ p2(sK26(X2))
& r1(X2,sK26(X2)) ) )
& ! [X6] :
( ~ r1(sK24,X6)
| ( p2(sK27(X6))
& ~ p2(sK28(X6))
& r1(sK27(X6),sK28(X6))
& r1(X6,sK27(X6)) )
| p2(X6) )
& ( sP5(sK24)
| ( ! [X10] :
( ~ r1(sK29,X10)
| ( ! [X11] :
( ! [X12] :
( p2(X12)
| ~ r1(X11,X12) )
| ~ p2(X11)
| ~ r1(X10,X11) )
& ~ p2(X10) )
| sP2(X10)
| sP3(X10) )
& r1(sK24,sK29)
& ( ( ! [X13] :
( ~ p2(X13)
| ~ r1(sK29,X13)
| ! [X14] :
( p2(X14)
| ~ r1(X13,X14) ) )
& ~ p2(sK29) )
| sP0(sK29) ) ) )
& ! [X15] :
( p3(X15)
| ( p3(sK30(X15))
& ~ p3(sK31(X15))
& r1(sK30(X15),sK31(X15))
& r1(X15,sK30(X15)) )
| ~ r1(sK24,X15) )
& ! [X18] :
( ( r1(X18,sK32(X18))
& r1(sK32(X18),sK33(X18))
& ~ p1(sK33(X18))
& p1(sK32(X18)) )
| ~ r1(sK24,X18)
| p1(X18) )
& r1(sK24,sK34)
& ~ p1(sK34)
& ~ p2(sK35)
& r1(sK24,sK35) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35])],[f50,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51]) ).
fof(f51,plain,
( ? [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p3(X1) )
& ! [X2] :
( p2(X2)
| ~ r1(X0,X2)
| ? [X3] :
( ! [X4] :
( ~ p2(X4)
| ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| p2(X5) ) )
& ~ p2(X3)
& r1(X2,X3) ) )
& ! [X6] :
( ~ r1(X0,X6)
| ? [X7] :
( p2(X7)
& ? [X8] :
( ~ p2(X8)
& r1(X7,X8) )
& r1(X6,X7) )
| p2(X6) )
& ( sP5(X0)
| ? [X9] :
( ! [X10] :
( ~ r1(X9,X10)
| ( ! [X11] :
( ! [X12] :
( p2(X12)
| ~ r1(X11,X12) )
| ~ p2(X11)
| ~ r1(X10,X11) )
& ~ p2(X10) )
| sP2(X10)
| sP3(X10) )
& r1(X0,X9)
& ( ( ! [X13] :
( ~ p2(X13)
| ~ r1(X9,X13)
| ! [X14] :
( p2(X14)
| ~ r1(X13,X14) ) )
& ~ p2(X9) )
| sP0(X9) ) ) )
& ! [X15] :
( p3(X15)
| ? [X16] :
( p3(X16)
& ? [X17] :
( ~ p3(X17)
& r1(X16,X17) )
& r1(X15,X16) )
| ~ r1(X0,X15) )
& ! [X18] :
( ? [X19] :
( r1(X18,X19)
& ? [X20] :
( r1(X19,X20)
& ~ p1(X20) )
& p1(X19) )
| ~ r1(X0,X18)
| p1(X18) )
& ? [X21] :
( r1(X0,X21)
& ~ p1(X21) )
& ? [X22] :
( ~ p2(X22)
& r1(X0,X22) ) )
=> ( ? [X1] :
( r1(sK24,X1)
& ~ p3(X1) )
& ! [X2] :
( p2(X2)
| ~ r1(sK24,X2)
| ? [X3] :
( ! [X4] :
( ~ p2(X4)
| ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| p2(X5) ) )
& ~ p2(X3)
& r1(X2,X3) ) )
& ! [X6] :
( ~ r1(sK24,X6)
| ? [X7] :
( p2(X7)
& ? [X8] :
( ~ p2(X8)
& r1(X7,X8) )
& r1(X6,X7) )
| p2(X6) )
& ( sP5(sK24)
| ? [X9] :
( ! [X10] :
( ~ r1(X9,X10)
| ( ! [X11] :
( ! [X12] :
( p2(X12)
| ~ r1(X11,X12) )
| ~ p2(X11)
| ~ r1(X10,X11) )
& ~ p2(X10) )
| sP2(X10)
| sP3(X10) )
& r1(sK24,X9)
& ( ( ! [X13] :
( ~ p2(X13)
| ~ r1(X9,X13)
| ! [X14] :
( p2(X14)
| ~ r1(X13,X14) ) )
& ~ p2(X9) )
| sP0(X9) ) ) )
& ! [X15] :
( p3(X15)
| ? [X16] :
( p3(X16)
& ? [X17] :
( ~ p3(X17)
& r1(X16,X17) )
& r1(X15,X16) )
| ~ r1(sK24,X15) )
& ! [X18] :
( ? [X19] :
( r1(X18,X19)
& ? [X20] :
( r1(X19,X20)
& ~ p1(X20) )
& p1(X19) )
| ~ r1(sK24,X18)
| p1(X18) )
& ? [X21] :
( r1(sK24,X21)
& ~ p1(X21) )
& ? [X22] :
( ~ p2(X22)
& r1(sK24,X22) ) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
( ? [X1] :
( r1(sK24,X1)
& ~ p3(X1) )
=> ( r1(sK24,sK25)
& ~ p3(sK25) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
! [X2] :
( ? [X3] :
( ! [X4] :
( ~ p2(X4)
| ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| p2(X5) ) )
& ~ p2(X3)
& r1(X2,X3) )
=> ( ! [X4] :
( ~ p2(X4)
| ~ r1(sK26(X2),X4)
| ! [X5] :
( ~ r1(X4,X5)
| p2(X5) ) )
& ~ p2(sK26(X2))
& r1(X2,sK26(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
! [X6] :
( ? [X7] :
( p2(X7)
& ? [X8] :
( ~ p2(X8)
& r1(X7,X8) )
& r1(X6,X7) )
=> ( p2(sK27(X6))
& ? [X8] :
( ~ p2(X8)
& r1(sK27(X6),X8) )
& r1(X6,sK27(X6)) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
! [X6] :
( ? [X8] :
( ~ p2(X8)
& r1(sK27(X6),X8) )
=> ( ~ p2(sK28(X6))
& r1(sK27(X6),sK28(X6)) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
( ? [X9] :
( ! [X10] :
( ~ r1(X9,X10)
| ( ! [X11] :
( ! [X12] :
( p2(X12)
| ~ r1(X11,X12) )
| ~ p2(X11)
| ~ r1(X10,X11) )
& ~ p2(X10) )
| sP2(X10)
| sP3(X10) )
& r1(sK24,X9)
& ( ( ! [X13] :
( ~ p2(X13)
| ~ r1(X9,X13)
| ! [X14] :
( p2(X14)
| ~ r1(X13,X14) ) )
& ~ p2(X9) )
| sP0(X9) ) )
=> ( ! [X10] :
( ~ r1(sK29,X10)
| ( ! [X11] :
( ! [X12] :
( p2(X12)
| ~ r1(X11,X12) )
| ~ p2(X11)
| ~ r1(X10,X11) )
& ~ p2(X10) )
| sP2(X10)
| sP3(X10) )
& r1(sK24,sK29)
& ( ( ! [X13] :
( ~ p2(X13)
| ~ r1(sK29,X13)
| ! [X14] :
( p2(X14)
| ~ r1(X13,X14) ) )
& ~ p2(sK29) )
| sP0(sK29) ) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X15] :
( ? [X16] :
( p3(X16)
& ? [X17] :
( ~ p3(X17)
& r1(X16,X17) )
& r1(X15,X16) )
=> ( p3(sK30(X15))
& ? [X17] :
( ~ p3(X17)
& r1(sK30(X15),X17) )
& r1(X15,sK30(X15)) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
! [X15] :
( ? [X17] :
( ~ p3(X17)
& r1(sK30(X15),X17) )
=> ( ~ p3(sK31(X15))
& r1(sK30(X15),sK31(X15)) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
! [X18] :
( ? [X19] :
( r1(X18,X19)
& ? [X20] :
( r1(X19,X20)
& ~ p1(X20) )
& p1(X19) )
=> ( r1(X18,sK32(X18))
& ? [X20] :
( r1(sK32(X18),X20)
& ~ p1(X20) )
& p1(sK32(X18)) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
! [X18] :
( ? [X20] :
( r1(sK32(X18),X20)
& ~ p1(X20) )
=> ( r1(sK32(X18),sK33(X18))
& ~ p1(sK33(X18)) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
( ? [X21] :
( r1(sK24,X21)
& ~ p1(X21) )
=> ( r1(sK24,sK34)
& ~ p1(sK34) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
( ? [X22] :
( ~ p2(X22)
& r1(sK24,X22) )
=> ( ~ p2(sK35)
& r1(sK24,sK35) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
? [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p3(X1) )
& ! [X2] :
( p2(X2)
| ~ r1(X0,X2)
| ? [X3] :
( ! [X4] :
( ~ p2(X4)
| ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| p2(X5) ) )
& ~ p2(X3)
& r1(X2,X3) ) )
& ! [X6] :
( ~ r1(X0,X6)
| ? [X7] :
( p2(X7)
& ? [X8] :
( ~ p2(X8)
& r1(X7,X8) )
& r1(X6,X7) )
| p2(X6) )
& ( sP5(X0)
| ? [X9] :
( ! [X10] :
( ~ r1(X9,X10)
| ( ! [X11] :
( ! [X12] :
( p2(X12)
| ~ r1(X11,X12) )
| ~ p2(X11)
| ~ r1(X10,X11) )
& ~ p2(X10) )
| sP2(X10)
| sP3(X10) )
& r1(X0,X9)
& ( ( ! [X13] :
( ~ p2(X13)
| ~ r1(X9,X13)
| ! [X14] :
( p2(X14)
| ~ r1(X13,X14) ) )
& ~ p2(X9) )
| sP0(X9) ) ) )
& ! [X15] :
( p3(X15)
| ? [X16] :
( p3(X16)
& ? [X17] :
( ~ p3(X17)
& r1(X16,X17) )
& r1(X15,X16) )
| ~ r1(X0,X15) )
& ! [X18] :
( ? [X19] :
( r1(X18,X19)
& ? [X20] :
( r1(X19,X20)
& ~ p1(X20) )
& p1(X19) )
| ~ r1(X0,X18)
| p1(X18) )
& ? [X21] :
( r1(X0,X21)
& ~ p1(X21) )
& ? [X22] :
( ~ p2(X22)
& r1(X0,X22) ) ),
inference(rectify,[],[f13]) ).
fof(f13,plain,
? [X0] :
( ? [X4] :
( r1(X0,X4)
& ~ p3(X4) )
& ! [X13] :
( p2(X13)
| ~ r1(X0,X13)
| ? [X14] :
( ! [X15] :
( ~ p2(X15)
| ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| p2(X16) ) )
& ~ p2(X14)
& r1(X13,X14) ) )
& ! [X10] :
( ~ r1(X0,X10)
| ? [X11] :
( p2(X11)
& ? [X12] :
( ~ p2(X12)
& r1(X11,X12) )
& r1(X10,X11) )
| p2(X10) )
& ( sP5(X0)
| ? [X17] :
( ! [X18] :
( ~ r1(X17,X18)
| ( ! [X29] :
( ! [X30] :
( p2(X30)
| ~ r1(X29,X30) )
| ~ p2(X29)
| ~ r1(X18,X29) )
& ~ p2(X18) )
| sP2(X18)
| sP3(X18) )
& r1(X0,X17)
& ( ( ! [X38] :
( ~ p2(X38)
| ~ r1(X17,X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) ) )
& ~ p2(X17) )
| sP0(X17) ) ) )
& ! [X1] :
( p3(X1)
| ? [X2] :
( p3(X2)
& ? [X3] :
( ~ p3(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| ~ r1(X0,X1) )
& ! [X5] :
( ? [X6] :
( r1(X5,X6)
& ? [X7] :
( r1(X6,X7)
& ~ p1(X7) )
& p1(X6) )
| ~ r1(X0,X5)
| p1(X5) )
& ? [X8] :
( r1(X0,X8)
& ~ p1(X8) )
& ? [X9] :
( ~ p2(X9)
& r1(X0,X9) ) ),
inference(definition_folding,[],[f6,f12,f11,f10,f9,f8,f7]) ).
fof(f8,plain,
! [X19] :
( ! [X23] :
( ~ r1(X19,X23)
| ! [X24] :
( ? [X25] :
( ? [X26] :
( ~ p2(X26)
& r1(X25,X26) )
& p2(X25)
& r1(X24,X25) )
| p2(X24)
| ~ r1(X23,X24) ) )
| ~ sP1(X19) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f11,plain,
! [X0] :
( ! [X50] :
( ! [X51] :
( ? [X52] :
( p2(X52)
& r1(X51,X52)
& ? [X53] :
( ~ p2(X53)
& r1(X52,X53) ) )
| p2(X51)
| ~ r1(X50,X51) )
| ~ r1(X0,X50) )
| ~ sP4(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f12,plain,
! [X0] :
( ( ( ? [X54] :
( p2(X54)
& r1(X0,X54)
& ? [X55] :
( ~ p2(X55)
& r1(X54,X55) ) )
| p2(X0) )
& ( sP4(X0)
| ? [X47] :
( r1(X0,X47)
& ~ p2(X47)
& ! [X48] :
( ! [X49] :
( p2(X49)
| ~ r1(X48,X49) )
| ~ p2(X48)
| ~ r1(X47,X48) ) ) ) )
| ~ sP5(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f6,plain,
? [X0] :
( ? [X4] :
( r1(X0,X4)
& ~ p3(X4) )
& ! [X13] :
( p2(X13)
| ~ r1(X0,X13)
| ? [X14] :
( ! [X15] :
( ~ p2(X15)
| ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| p2(X16) ) )
& ~ p2(X14)
& r1(X13,X14) ) )
& ! [X10] :
( ~ r1(X0,X10)
| ? [X11] :
( p2(X11)
& ? [X12] :
( ~ p2(X12)
& r1(X11,X12) )
& r1(X10,X11) )
| p2(X10) )
& ( ( ( ? [X54] :
( p2(X54)
& r1(X0,X54)
& ? [X55] :
( ~ p2(X55)
& r1(X54,X55) ) )
| p2(X0) )
& ( ! [X50] :
( ! [X51] :
( ? [X52] :
( p2(X52)
& r1(X51,X52)
& ? [X53] :
( ~ p2(X53)
& r1(X52,X53) ) )
| p2(X51)
| ~ r1(X50,X51) )
| ~ r1(X0,X50) )
| ? [X47] :
( r1(X0,X47)
& ~ p2(X47)
& ! [X48] :
( ! [X49] :
( p2(X49)
| ~ r1(X48,X49) )
| ~ p2(X48)
| ~ r1(X47,X48) ) ) ) )
| ? [X17] :
( ! [X18] :
( ~ r1(X17,X18)
| ( ! [X29] :
( ! [X30] :
( p2(X30)
| ~ r1(X29,X30) )
| ~ p2(X29)
| ~ r1(X18,X29) )
& ~ p2(X18) )
| ( ! [X31] :
( p2(X31)
| ? [X32] :
( p2(X32)
& r1(X31,X32)
& ? [X33] :
( r1(X32,X33)
& ~ p2(X33) ) )
| ~ r1(X18,X31) )
& ? [X34] :
( r1(X18,X34)
& ? [X35] :
( ~ p2(X35)
& r1(X34,X35)
& ! [X36] :
( ! [X37] :
( p2(X37)
| ~ r1(X36,X37) )
| ~ r1(X35,X36)
| ~ p2(X36) ) ) ) )
| ! [X19] :
( ( ( ? [X27] :
( p2(X27)
& ? [X28] :
( r1(X27,X28)
& ~ p2(X28) )
& r1(X19,X27) )
| p2(X19) )
& ( ? [X20] :
( ~ p2(X20)
& r1(X19,X20)
& ! [X21] :
( ! [X22] :
( ~ r1(X21,X22)
| p2(X22) )
| ~ p2(X21)
| ~ r1(X20,X21) ) )
| ! [X23] :
( ~ r1(X19,X23)
| ! [X24] :
( ? [X25] :
( ? [X26] :
( ~ p2(X26)
& r1(X25,X26) )
& p2(X25)
& r1(X24,X25) )
| p2(X24)
| ~ r1(X23,X24) ) ) ) )
| ~ r1(X18,X19) ) )
& r1(X0,X17)
& ( ( ! [X38] :
( ~ p2(X38)
| ~ r1(X17,X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) ) )
& ~ p2(X17) )
| ( ! [X44] :
( ? [X45] :
( r1(X44,X45)
& p2(X45)
& ? [X46] :
( r1(X45,X46)
& ~ p2(X46) ) )
| ~ r1(X17,X44)
| p2(X44) )
& ? [X40] :
( r1(X17,X40)
& ? [X41] :
( r1(X40,X41)
& ! [X42] :
( ~ r1(X41,X42)
| ~ p2(X42)
| ! [X43] :
( ~ r1(X42,X43)
| p2(X43) ) )
& ~ p2(X41) ) ) ) ) ) )
& ! [X1] :
( p3(X1)
| ? [X2] :
( p3(X2)
& ? [X3] :
( ~ p3(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| ~ r1(X0,X1) )
& ! [X5] :
( ? [X6] :
( r1(X5,X6)
& ? [X7] :
( r1(X6,X7)
& ~ p1(X7) )
& p1(X6) )
| ~ r1(X0,X5)
| p1(X5) )
& ? [X8] :
( r1(X0,X8)
& ~ p1(X8) )
& ? [X9] :
( ~ p2(X9)
& r1(X0,X9) ) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
? [X0] :
( ! [X5] :
( ? [X6] :
( r1(X5,X6)
& ? [X7] :
( r1(X6,X7)
& ~ p1(X7) )
& p1(X6) )
| ~ r1(X0,X5)
| p1(X5) )
& ! [X10] :
( ~ r1(X0,X10)
| ? [X11] :
( p2(X11)
& ? [X12] :
( ~ p2(X12)
& r1(X11,X12) )
& r1(X10,X11) )
| p2(X10) )
& ! [X1] :
( p3(X1)
| ? [X2] :
( p3(X2)
& ? [X3] :
( ~ p3(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| ~ r1(X0,X1) )
& ( ( ( ? [X54] :
( p2(X54)
& r1(X0,X54)
& ? [X55] :
( ~ p2(X55)
& r1(X54,X55) ) )
| p2(X0) )
& ( ! [X50] :
( ! [X51] :
( ? [X52] :
( p2(X52)
& r1(X51,X52)
& ? [X53] :
( ~ p2(X53)
& r1(X52,X53) ) )
| p2(X51)
| ~ r1(X50,X51) )
| ~ r1(X0,X50) )
| ? [X47] :
( r1(X0,X47)
& ~ p2(X47)
& ! [X48] :
( ! [X49] :
( p2(X49)
| ~ r1(X48,X49) )
| ~ p2(X48)
| ~ r1(X47,X48) ) ) ) )
| ? [X17] :
( ( ( ! [X38] :
( ~ p2(X38)
| ~ r1(X17,X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) ) )
& ~ p2(X17) )
| ( ! [X44] :
( ? [X45] :
( r1(X44,X45)
& p2(X45)
& ? [X46] :
( r1(X45,X46)
& ~ p2(X46) ) )
| ~ r1(X17,X44)
| p2(X44) )
& ? [X40] :
( r1(X17,X40)
& ? [X41] :
( r1(X40,X41)
& ! [X42] :
( ~ r1(X41,X42)
| ~ p2(X42)
| ! [X43] :
( ~ r1(X42,X43)
| p2(X43) ) )
& ~ p2(X41) ) ) ) )
& r1(X0,X17)
& ! [X18] :
( ( ! [X29] :
( ! [X30] :
( p2(X30)
| ~ r1(X29,X30) )
| ~ p2(X29)
| ~ r1(X18,X29) )
& ~ p2(X18) )
| ( ! [X31] :
( p2(X31)
| ? [X32] :
( p2(X32)
& r1(X31,X32)
& ? [X33] :
( r1(X32,X33)
& ~ p2(X33) ) )
| ~ r1(X18,X31) )
& ? [X34] :
( r1(X18,X34)
& ? [X35] :
( ~ p2(X35)
& r1(X34,X35)
& ! [X36] :
( ! [X37] :
( p2(X37)
| ~ r1(X36,X37) )
| ~ r1(X35,X36)
| ~ p2(X36) ) ) ) )
| ! [X19] :
( ( ( ? [X27] :
( p2(X27)
& ? [X28] :
( r1(X27,X28)
& ~ p2(X28) )
& r1(X19,X27) )
| p2(X19) )
& ( ? [X20] :
( ~ p2(X20)
& r1(X19,X20)
& ! [X21] :
( ! [X22] :
( ~ r1(X21,X22)
| p2(X22) )
| ~ p2(X21)
| ~ r1(X20,X21) ) )
| ! [X23] :
( ~ r1(X19,X23)
| ! [X24] :
( ? [X25] :
( ? [X26] :
( ~ p2(X26)
& r1(X25,X26) )
& p2(X25)
& r1(X24,X25) )
| p2(X24)
| ~ r1(X23,X24) ) ) ) )
| ~ r1(X18,X19) )
| ~ r1(X17,X18) ) ) )
& ! [X13] :
( p2(X13)
| ~ r1(X0,X13)
| ? [X14] :
( ! [X15] :
( ~ p2(X15)
| ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| p2(X16) ) )
& ~ p2(X14)
& r1(X13,X14) ) )
& ? [X8] :
( r1(X0,X8)
& ~ p1(X8) )
& ? [X9] :
( ~ p2(X9)
& r1(X0,X9) )
& ? [X4] :
( r1(X0,X4)
& ~ p3(X4) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,plain,
? [X0] :
~ ( ~ ! [X5] :
( p1(X5)
| ~ ! [X6] :
( ! [X7] :
( ~ r1(X6,X7)
| p1(X7) )
| ~ p1(X6)
| ~ r1(X5,X6) )
| ~ r1(X0,X5) )
| ~ ! [X10] :
( ~ ! [X11] :
( ! [X12] :
( ~ r1(X11,X12)
| p2(X12) )
| ~ r1(X10,X11)
| ~ p2(X11) )
| p2(X10)
| ~ r1(X0,X10) )
| ~ ! [X1] :
( ~ ! [X2] :
( ! [X3] :
( ~ r1(X2,X3)
| p3(X3) )
| ~ p3(X2)
| ~ r1(X1,X2) )
| p3(X1)
| ~ r1(X0,X1) )
| ~ ( ( ( ( ! [X50] :
( ! [X51] :
( p2(X51)
| ~ r1(X50,X51)
| ~ ! [X52] :
( ~ p2(X52)
| ~ r1(X51,X52)
| ! [X53] :
( ~ r1(X52,X53)
| p2(X53) ) ) )
| ~ r1(X0,X50) )
| ~ ! [X47] :
( p2(X47)
| ~ r1(X0,X47)
| ~ ! [X48] :
( ! [X49] :
( p2(X49)
| ~ r1(X48,X49) )
| ~ p2(X48)
| ~ r1(X47,X48) ) ) )
& ( ~ ! [X54] :
( ~ r1(X0,X54)
| ~ p2(X54)
| ! [X55] :
( p2(X55)
| ~ r1(X54,X55) ) )
| p2(X0) ) )
| ~ ! [X17] :
( ( ( ! [X40] :
( ! [X41] :
( ~ ! [X42] :
( ~ r1(X41,X42)
| ~ p2(X42)
| ! [X43] :
( ~ r1(X42,X43)
| p2(X43) ) )
| ~ r1(X40,X41)
| p2(X41) )
| ~ r1(X17,X40) )
| ~ ! [X44] :
( p2(X44)
| ~ r1(X17,X44)
| ~ ! [X45] :
( ! [X46] :
( ~ r1(X45,X46)
| p2(X46) )
| ~ r1(X44,X45)
| ~ p2(X45) ) ) )
& ( p2(X17)
| ~ ! [X38] :
( ~ p2(X38)
| ~ r1(X17,X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) ) ) ) )
| ~ r1(X0,X17)
| ~ ! [X18] :
( ~ ( ( p2(X18)
| ~ ! [X29] :
( ! [X30] :
( p2(X30)
| ~ r1(X29,X30) )
| ~ p2(X29)
| ~ r1(X18,X29) ) )
& ( ~ ! [X31] :
( p2(X31)
| ~ ! [X32] :
( ~ p2(X32)
| ~ r1(X31,X32)
| ! [X33] :
( p2(X33)
| ~ r1(X32,X33) ) )
| ~ r1(X18,X31) )
| ! [X34] :
( ! [X35] :
( ~ r1(X34,X35)
| ~ ! [X36] :
( ! [X37] :
( p2(X37)
| ~ r1(X36,X37) )
| ~ r1(X35,X36)
| ~ p2(X36) )
| p2(X35) )
| ~ r1(X18,X34) ) ) )
| ! [X19] :
( ~ r1(X18,X19)
| ( ( p2(X19)
| ~ ! [X27] :
( ~ p2(X27)
| ! [X28] :
( ~ r1(X27,X28)
| p2(X28) )
| ~ r1(X19,X27) ) )
& ( ~ ! [X20] :
( p2(X20)
| ~ r1(X19,X20)
| ~ ! [X21] :
( ! [X22] :
( ~ r1(X21,X22)
| p2(X22) )
| ~ p2(X21)
| ~ r1(X20,X21) ) )
| ! [X23] :
( ~ r1(X19,X23)
| ! [X24] :
( ~ ! [X25] :
( ! [X26] :
( p2(X26)
| ~ r1(X25,X26) )
| ~ p2(X25)
| ~ r1(X24,X25) )
| ~ r1(X23,X24)
| p2(X24) ) ) ) ) )
| ~ r1(X17,X18) ) ) )
& ! [X13] :
( ~ ! [X14] :
( ~ ! [X15] :
( ~ p2(X15)
| ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| p2(X16) ) )
| ~ r1(X13,X14)
| p2(X14) )
| p2(X13)
| ~ r1(X0,X13) ) )
| ! [X8] :
( p1(X8)
| ~ r1(X0,X8) )
| ! [X9] :
( p2(X9)
| ~ r1(X0,X9) )
| ! [X4] :
( ~ r1(X0,X4)
| p3(X4) ) ),
inference(flattening,[],[f3]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ~ ! [X5] :
( p1(X5)
| ~ ! [X6] :
( ! [X7] :
( ~ r1(X6,X7)
| p1(X7) )
| ~ p1(X6)
| ~ r1(X5,X6) )
| ~ r1(X0,X5) )
| ~ ! [X10] :
( ~ ! [X11] :
( ! [X12] :
( ~ r1(X11,X12)
| p2(X12) )
| ~ r1(X10,X11)
| ~ p2(X11) )
| p2(X10)
| ~ r1(X0,X10) )
| ~ ! [X1] :
( ~ ! [X2] :
( ! [X3] :
( ~ r1(X2,X3)
| p3(X3) )
| ~ p3(X2)
| ~ r1(X1,X2) )
| p3(X1)
| ~ r1(X0,X1) )
| ~ ( ( ( ( ! [X50] :
( ! [X51] :
( p2(X51)
| ~ r1(X50,X51)
| ~ ! [X52] :
( ~ p2(X52)
| ~ r1(X51,X52)
| ! [X53] :
( ~ r1(X52,X53)
| p2(X53) ) ) )
| ~ r1(X0,X50) )
| ~ ! [X47] :
( p2(X47)
| ~ r1(X0,X47)
| ~ ! [X48] :
( ! [X49] :
( p2(X49)
| ~ r1(X48,X49) )
| ~ p2(X48)
| ~ r1(X47,X48) ) ) )
& ( ~ ! [X54] :
( ~ r1(X0,X54)
| ~ p2(X54)
| ! [X55] :
( p2(X55)
| ~ r1(X54,X55) ) )
| p2(X0) ) )
| ~ ! [X17] :
( ( ( ! [X40] :
( ! [X41] :
( ~ ! [X42] :
( ~ r1(X41,X42)
| ~ p2(X42)
| ! [X43] :
( ~ r1(X42,X43)
| p2(X43) ) )
| ~ r1(X40,X41)
| p2(X41) )
| ~ r1(X17,X40) )
| ~ ! [X44] :
( p2(X44)
| ~ r1(X17,X44)
| ~ ! [X45] :
( ! [X46] :
( ~ r1(X45,X46)
| p2(X46) )
| ~ r1(X44,X45)
| ~ p2(X45) ) ) )
& ( p2(X17)
| ~ ! [X38] :
( ~ p2(X38)
| ~ r1(X17,X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) ) ) ) )
| ~ r1(X0,X17)
| ~ ! [X18] :
( ~ ( ( p2(X18)
| ~ ! [X29] :
( ! [X30] :
( p2(X30)
| ~ r1(X29,X30) )
| ~ p2(X29)
| ~ r1(X18,X29) ) )
& ( ~ ! [X31] :
( p2(X31)
| ~ ! [X32] :
( ~ p2(X32)
| ~ r1(X31,X32)
| ! [X33] :
( p2(X33)
| ~ r1(X32,X33) ) )
| ~ r1(X18,X31) )
| ! [X34] :
( ! [X35] :
( ~ r1(X34,X35)
| ~ ! [X36] :
( ! [X37] :
( p2(X37)
| ~ r1(X36,X37) )
| ~ r1(X35,X36)
| ~ p2(X36) )
| p2(X35) )
| ~ r1(X18,X34) ) ) )
| ! [X19] :
( ~ r1(X18,X19)
| ( ( p2(X19)
| ~ ! [X27] :
( ~ p2(X27)
| ! [X28] :
( ~ r1(X27,X28)
| p2(X28) )
| ~ r1(X19,X27) ) )
& ( ~ ! [X20] :
( p2(X20)
| ~ r1(X19,X20)
| ~ ! [X21] :
( ! [X22] :
( ~ r1(X21,X22)
| p2(X22) )
| ~ p2(X21)
| ~ r1(X20,X21) ) )
| ! [X23] :
( ~ r1(X19,X23)
| ! [X24] :
( ~ ! [X25] :
( ! [X26] :
( p2(X26)
| ~ r1(X25,X26) )
| ~ p2(X25)
| ~ r1(X24,X25) )
| ~ r1(X23,X24)
| p2(X24) ) ) ) ) )
| ~ r1(X17,X18) ) ) )
& ! [X13] :
( ~ ! [X14] :
( ~ ! [X15] :
( ~ p2(X15)
| ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| p2(X16) ) )
| ~ r1(X13,X14)
| p2(X14) )
| p2(X13)
| ~ r1(X0,X13) ) )
| ! [X8] :
( p1(X8)
| ~ r1(X0,X8) )
| ! [X9] :
( p2(X9)
| ~ r1(X0,X9) )
| ! [X4] :
( ~ r1(X0,X4)
| p3(X4) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| ~ ! [X0] :
( ~ p3(X0)
| ~ r1(X1,X0)
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) ) ) )
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
| p2(X1) )
| ~ ( ! [X1] :
( p2(X1)
| ~ ! [X0] :
( ~ ! [X1] :
( ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1)
| ~ p2(X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ( ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| p2(X0) )
| ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0)
| ~ r1(X1,X0) ) )
| ~ r1(X1,X0) ) )
& ( ~ ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ r1(X1,X0)
| ~ p2(X0) )
| p2(X1) ) )
| ~ r1(X0,X1) )
| ~ ( ( ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X0,X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) ) )
| p2(X0) )
& ( ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1)
| ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ p2(X1) ) ) ) ) ) )
| ( ( ~ ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ r1(X1,X0)
| ~ p2(X0) )
| p2(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) ) )
| ~ r1(X0,X1)
| p2(X1) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ p2(X1) ) ) ) ) )
| ( ( ~ ! [X1] :
( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p2(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) ) )
| ~ r1(X0,X1)
| p2(X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) ) )
| ~ r1(X1,X0)
| p2(X0) )
| ~ r1(X0,X1) ) )
& ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ r1(X0,X1) )
| p2(X0) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| ~ ! [X0] :
( ~ p3(X0)
| ~ r1(X1,X0)
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) ) ) )
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
| p2(X1) )
| ~ ( ! [X1] :
( p2(X1)
| ~ ! [X0] :
( ~ ! [X1] :
( ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1)
| ~ p2(X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ( ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| p2(X0) )
| ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0)
| ~ r1(X1,X0) ) )
| ~ r1(X1,X0) ) )
& ( ~ ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ r1(X1,X0)
| ~ p2(X0) )
| p2(X1) ) )
| ~ r1(X0,X1) )
| ~ ( ( ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X0,X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) ) )
| p2(X0) )
& ( ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1)
| ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ p2(X1) ) ) ) ) ) )
| ( ( ~ ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ r1(X1,X0)
| ~ p2(X0) )
| p2(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) ) )
| ~ r1(X0,X1)
| p2(X1) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ p2(X1) ) ) ) ) )
| ( ( ~ ! [X1] :
( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p2(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) ) )
| ~ r1(X0,X1)
| p2(X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) ) )
| ~ r1(X1,X0)
| p2(X0) )
| ~ r1(X0,X1) ) )
& ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ r1(X0,X1) )
| p2(X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f2188,plain,
( ~ r1(sK29,sK26(sK29))
| spl36_368 ),
inference(avatar_component_clause,[],[f2186]) ).
fof(f2402,plain,
( ~ spl36_368
| spl36_402
| ~ spl36_2
| spl36_363
| ~ spl36_373 ),
inference(avatar_split_clause,[],[f2397,f2209,f2160,f133,f2399,f2186]) ).
fof(f2209,plain,
( spl36_373
<=> ! [X1] :
( p2(X1)
| ~ r1(sK20(sK26(sK29)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_373])]) ).
fof(f2397,plain,
( p2(sK21(sK26(sK29)))
| ~ r1(sK29,sK26(sK29))
| ~ spl36_2
| spl36_363
| ~ spl36_373 ),
inference(subsumption_resolution,[],[f2396,f2161]) ).
fof(f2396,plain,
( p2(sK26(sK29))
| p2(sK21(sK26(sK29)))
| ~ r1(sK29,sK26(sK29))
| ~ spl36_2
| ~ spl36_373 ),
inference(resolution,[],[f1909,f2210]) ).
fof(f2210,plain,
( ! [X1] :
( ~ r1(sK20(sK26(sK29)),X1)
| p2(X1) )
| ~ spl36_373 ),
inference(avatar_component_clause,[],[f2209]) ).
fof(f2381,plain,
( spl36_397
| spl36_398
| ~ spl36_395 ),
inference(avatar_split_clause,[],[f2374,f2358,f2379,f2376]) ).
fof(f2358,plain,
( spl36_395
<=> p2(sK11(sK23(sK29))) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_395])]) ).
fof(f2374,plain,
( ! [X0,X1] :
( ~ r1(sK11(sK23(sK29)),X1)
| ~ r1(sK23(X0),sK11(sK23(sK29)))
| ~ sP0(X0)
| p2(X1) )
| ~ spl36_395 ),
inference(resolution,[],[f2360,f95]) ).
fof(f2360,plain,
( p2(sK11(sK23(sK29)))
| ~ spl36_395 ),
inference(avatar_component_clause,[],[f2358]) ).
fof(f2372,plain,
( ~ spl36_2
| ~ spl36_396 ),
inference(avatar_contradiction_clause,[],[f2371]) ).
fof(f2371,plain,
( $false
| ~ spl36_2
| ~ spl36_396 ),
inference(subsumption_resolution,[],[f2366,f135]) ).
fof(f2366,plain,
( ~ sP0(sK29)
| ~ spl36_396 ),
inference(resolution,[],[f2364,f94]) ).
fof(f94,plain,
! [X0] :
( ~ p2(sK23(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f2364,plain,
( p2(sK23(sK29))
| ~ spl36_396 ),
inference(avatar_component_clause,[],[f2362]) ).
fof(f2365,plain,
( spl36_395
| spl36_396
| ~ spl36_2
| ~ spl36_315 ),
inference(avatar_split_clause,[],[f2356,f1898,f133,f2362,f2358]) ).
fof(f2356,plain,
( p2(sK23(sK29))
| p2(sK11(sK23(sK29)))
| ~ spl36_2
| ~ spl36_315 ),
inference(subsumption_resolution,[],[f2349,f135]) ).
fof(f2349,plain,
( ~ sP0(sK29)
| p2(sK11(sK23(sK29)))
| p2(sK23(sK29))
| ~ spl36_315 ),
inference(resolution,[],[f2080,f96]) ).
fof(f2080,plain,
( ! [X6] :
( ~ r1(sK22(sK29),X6)
| p2(X6)
| p2(sK11(X6)) )
| ~ spl36_315 ),
inference(resolution,[],[f1900,f81]) ).
fof(f81,plain,
! [X0,X1] :
( ~ sP3(X0)
| ~ r1(X0,X1)
| p2(sK11(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f2228,plain,
( spl36_373
| ~ spl36_2
| spl36_4
| ~ spl36_5
| ~ spl36_362
| spl36_363 ),
inference(avatar_split_clause,[],[f2227,f2160,f2156,f146,f141,f133,f2209]) ).
fof(f2156,plain,
( spl36_362
<=> p2(sK20(sK26(sK29))) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_362])]) ).
fof(f2227,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK20(sK26(sK29)),X0) )
| ~ spl36_2
| spl36_4
| ~ spl36_5
| ~ spl36_362
| spl36_363 ),
inference(subsumption_resolution,[],[f2226,f148]) ).
fof(f2226,plain,
( ! [X0] :
( ~ r1(sK20(sK26(sK29)),X0)
| p2(X0)
| ~ r1(sK24,sK29) )
| ~ spl36_2
| spl36_4
| ~ spl36_5
| ~ spl36_362
| spl36_363 ),
inference(subsumption_resolution,[],[f2225,f2158]) ).
fof(f2158,plain,
( p2(sK20(sK26(sK29)))
| ~ spl36_362 ),
inference(avatar_component_clause,[],[f2156]) ).
fof(f2225,plain,
( ! [X0] :
( ~ p2(sK20(sK26(sK29)))
| ~ r1(sK24,sK29)
| p2(X0)
| ~ r1(sK20(sK26(sK29)),X0) )
| ~ spl36_2
| spl36_4
| ~ spl36_5
| spl36_363 ),
inference(subsumption_resolution,[],[f2224,f143]) ).
fof(f2224,plain,
( ! [X0] :
( ~ r1(sK20(sK26(sK29)),X0)
| p2(X0)
| p2(sK29)
| ~ r1(sK24,sK29)
| ~ p2(sK20(sK26(sK29))) )
| ~ spl36_2
| spl36_4
| ~ spl36_5
| spl36_363 ),
inference(resolution,[],[f2221,f125]) ).
fof(f125,plain,
! [X2,X4,X5] :
( ~ r1(sK26(X2),X4)
| ~ p2(X4)
| ~ r1(sK24,X2)
| p2(X5)
| ~ r1(X4,X5)
| p2(X2) ),
inference(cnf_transformation,[],[f63]) ).
fof(f2221,plain,
( r1(sK26(sK29),sK20(sK26(sK29)))
| ~ spl36_2
| spl36_4
| ~ spl36_5
| spl36_363 ),
inference(subsumption_resolution,[],[f2220,f148]) ).
fof(f2220,plain,
( r1(sK26(sK29),sK20(sK26(sK29)))
| ~ r1(sK24,sK29)
| ~ spl36_2
| spl36_4
| spl36_363 ),
inference(subsumption_resolution,[],[f2219,f143]) ).
fof(f2219,plain,
( r1(sK26(sK29),sK20(sK26(sK29)))
| p2(sK29)
| ~ r1(sK24,sK29)
| ~ spl36_2
| spl36_363 ),
inference(subsumption_resolution,[],[f2215,f2161]) ).
fof(f2215,plain,
( r1(sK26(sK29),sK20(sK26(sK29)))
| p2(sK26(sK29))
| p2(sK29)
| ~ r1(sK24,sK29)
| ~ spl36_2 ),
inference(resolution,[],[f1910,f123]) ).
fof(f2169,plain,
( spl36_4
| ~ spl36_5
| ~ spl36_363 ),
inference(avatar_contradiction_clause,[],[f2168]) ).
fof(f2168,plain,
( $false
| spl36_4
| ~ spl36_5
| ~ spl36_363 ),
inference(subsumption_resolution,[],[f2167,f148]) ).
fof(f2167,plain,
( ~ r1(sK24,sK29)
| spl36_4
| ~ spl36_363 ),
inference(subsumption_resolution,[],[f2164,f143]) ).
fof(f2164,plain,
( p2(sK29)
| ~ r1(sK24,sK29)
| ~ spl36_363 ),
inference(resolution,[],[f2162,f124]) ).
fof(f124,plain,
! [X2] :
( ~ p2(sK26(X2))
| p2(X2)
| ~ r1(sK24,X2) ),
inference(cnf_transformation,[],[f63]) ).
fof(f2162,plain,
( p2(sK26(sK29))
| ~ spl36_363 ),
inference(avatar_component_clause,[],[f2160]) ).
fof(f2163,plain,
( spl36_362
| spl36_363
| ~ spl36_2
| spl36_4
| ~ spl36_5 ),
inference(avatar_split_clause,[],[f2154,f146,f141,f133,f2160,f2156]) ).
fof(f2154,plain,
( p2(sK26(sK29))
| p2(sK20(sK26(sK29)))
| ~ spl36_2
| spl36_4
| ~ spl36_5 ),
inference(subsumption_resolution,[],[f2153,f148]) ).
fof(f2153,plain,
( ~ r1(sK24,sK29)
| p2(sK20(sK26(sK29)))
| p2(sK26(sK29))
| ~ spl36_2
| spl36_4 ),
inference(subsumption_resolution,[],[f2149,f143]) ).
fof(f2149,plain,
( p2(sK20(sK26(sK29)))
| p2(sK29)
| p2(sK26(sK29))
| ~ r1(sK24,sK29)
| ~ spl36_2 ),
inference(resolution,[],[f1911,f123]) ).
fof(f1911,plain,
( ! [X2] :
( ~ r1(sK29,X2)
| p2(sK20(X2))
| p2(X2) )
| ~ spl36_2 ),
inference(resolution,[],[f135,f100]) ).
fof(f100,plain,
! [X0,X1] :
( ~ sP0(X0)
| p2(X1)
| ~ r1(X0,X1)
| p2(sK20(X1)) ),
inference(cnf_transformation,[],[f49]) ).
fof(f1974,plain,
( ~ spl36_2
| spl36_328 ),
inference(avatar_contradiction_clause,[],[f1973]) ).
fof(f1973,plain,
( $false
| ~ spl36_2
| spl36_328 ),
inference(subsumption_resolution,[],[f1972,f135]) ).
fof(f1972,plain,
( ~ sP0(sK29)
| spl36_328 ),
inference(resolution,[],[f1963,f97]) ).
fof(f1963,plain,
( ~ r1(sK29,sK22(sK29))
| spl36_328 ),
inference(avatar_component_clause,[],[f1961]) ).
fof(f1964,plain,
( spl36_315
| spl36_316
| ~ spl36_328
| ~ spl36_6
| ~ spl36_81 ),
inference(avatar_split_clause,[],[f1958,f543,f151,f1961,f1902,f1898]) ).
fof(f151,plain,
( spl36_6
<=> ! [X10] :
( ~ p2(X10)
| sP2(X10)
| ~ r1(sK29,X10)
| sP3(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_6])]) ).
fof(f1958,plain,
( ~ r1(sK29,sK22(sK29))
| sP2(sK22(sK29))
| sP3(sK22(sK29))
| ~ spl36_6
| ~ spl36_81 ),
inference(resolution,[],[f545,f152]) ).
fof(f152,plain,
( ! [X10] :
( ~ p2(X10)
| ~ r1(sK29,X10)
| sP2(X10)
| sP3(X10) )
| ~ spl36_6 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f545,plain,
( p2(sK22(sK29))
| ~ spl36_81 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f1908,plain,
( spl36_315
| spl36_316
| spl36_317
| ~ spl36_2
| ~ spl36_7 ),
inference(avatar_split_clause,[],[f1106,f155,f133,f1906,f1902,f1898]) ).
fof(f155,plain,
( spl36_7
<=> ! [X11,X12,X10] :
( sP3(X10)
| p2(X12)
| sP2(X10)
| ~ r1(X11,X12)
| ~ p2(X11)
| ~ r1(X10,X11)
| ~ r1(sK29,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_7])]) ).
fof(f1106,plain,
( ! [X0,X1] :
( ~ sP0(sK29)
| ~ p2(X0)
| sP2(sK22(sK29))
| ~ r1(sK22(sK29),X0)
| sP3(sK22(sK29))
| p2(X1)
| ~ r1(X0,X1) )
| ~ spl36_7 ),
inference(resolution,[],[f156,f97]) ).
fof(f156,plain,
( ! [X10,X11,X12] :
( ~ r1(sK29,X10)
| sP3(X10)
| ~ r1(X10,X11)
| sP2(X10)
| ~ p2(X11)
| ~ r1(X11,X12)
| p2(X12) )
| ~ spl36_7 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f1889,plain,
( spl36_4
| ~ spl36_5
| ~ spl36_51 ),
inference(avatar_contradiction_clause,[],[f1888]) ).
fof(f1888,plain,
( $false
| spl36_4
| ~ spl36_5
| ~ spl36_51 ),
inference(subsumption_resolution,[],[f1887,f148]) ).
fof(f1887,plain,
( ~ r1(sK24,sK29)
| spl36_4
| ~ spl36_5
| ~ spl36_51 ),
inference(subsumption_resolution,[],[f1871,f143]) ).
fof(f1871,plain,
( p2(sK29)
| ~ r1(sK24,sK29)
| spl36_4
| ~ spl36_5
| ~ spl36_51 ),
inference(resolution,[],[f1812,f121]) ).
fof(f121,plain,
! [X6] :
( ~ p2(sK28(X6))
| p2(X6)
| ~ r1(sK24,X6) ),
inference(cnf_transformation,[],[f63]) ).
fof(f1812,plain,
( p2(sK28(sK29))
| spl36_4
| ~ spl36_5
| ~ spl36_51 ),
inference(subsumption_resolution,[],[f1811,f143]) ).
fof(f1811,plain,
( p2(sK28(sK29))
| p2(sK29)
| ~ spl36_5
| ~ spl36_51 ),
inference(subsumption_resolution,[],[f1774,f148]) ).
fof(f1774,plain,
( p2(sK28(sK29))
| ~ r1(sK24,sK29)
| p2(sK29)
| ~ spl36_51 ),
inference(resolution,[],[f378,f120]) ).
fof(f120,plain,
! [X6] :
( r1(sK27(X6),sK28(X6))
| ~ r1(sK24,X6)
| p2(X6) ),
inference(cnf_transformation,[],[f63]) ).
fof(f378,plain,
( ! [X1] :
( ~ r1(sK27(sK29),X1)
| p2(X1) )
| ~ spl36_51 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f377,plain,
( spl36_51
<=> ! [X1] :
( p2(X1)
| ~ r1(sK27(sK29),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_51])]) ).
fof(f1750,plain,
( spl36_51
| ~ spl36_3
| spl36_4
| ~ spl36_5
| ~ spl36_33 ),
inference(avatar_split_clause,[],[f1749,f293,f146,f141,f137,f377]) ).
fof(f137,plain,
( spl36_3
<=> ! [X13,X14] :
( ~ r1(sK29,X13)
| ~ p2(X13)
| p2(X14)
| ~ r1(X13,X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_3])]) ).
fof(f293,plain,
( spl36_33
<=> p2(sK27(sK29)) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_33])]) ).
fof(f1749,plain,
( ! [X2] :
( ~ r1(sK27(sK29),X2)
| p2(X2) )
| ~ spl36_3
| spl36_4
| ~ spl36_5
| ~ spl36_33 ),
inference(subsumption_resolution,[],[f1748,f295]) ).
fof(f295,plain,
( p2(sK27(sK29))
| ~ spl36_33 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f1748,plain,
( ! [X2] :
( ~ p2(sK27(sK29))
| ~ r1(sK27(sK29),X2)
| p2(X2) )
| ~ spl36_3
| spl36_4
| ~ spl36_5 ),
inference(subsumption_resolution,[],[f1747,f148]) ).
fof(f1747,plain,
( ! [X2] :
( ~ r1(sK24,sK29)
| p2(X2)
| ~ p2(sK27(sK29))
| ~ r1(sK27(sK29),X2) )
| ~ spl36_3
| spl36_4 ),
inference(subsumption_resolution,[],[f1744,f143]) ).
fof(f1744,plain,
( ! [X2] :
( p2(X2)
| ~ r1(sK27(sK29),X2)
| p2(sK29)
| ~ p2(sK27(sK29))
| ~ r1(sK24,sK29) )
| ~ spl36_3 ),
inference(resolution,[],[f138,f119]) ).
fof(f119,plain,
! [X6] :
( r1(X6,sK27(X6))
| p2(X6)
| ~ r1(sK24,X6) ),
inference(cnf_transformation,[],[f63]) ).
fof(f138,plain,
( ! [X14,X13] :
( ~ r1(sK29,X13)
| p2(X14)
| ~ r1(X13,X14)
| ~ p2(X13) )
| ~ spl36_3 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f1699,plain,
( ~ spl36_49
| spl36_191
| ~ spl36_250
| ~ spl36_268 ),
inference(avatar_contradiction_clause,[],[f1698]) ).
fof(f1698,plain,
( $false
| ~ spl36_49
| spl36_191
| ~ spl36_250
| ~ spl36_268 ),
inference(subsumption_resolution,[],[f1693,f102]) ).
fof(f102,plain,
r1(sK24,sK35),
inference(cnf_transformation,[],[f63]) ).
fof(f1693,plain,
( ~ r1(sK24,sK35)
| ~ spl36_49
| spl36_191
| ~ spl36_250
| ~ spl36_268 ),
inference(resolution,[],[f1691,f1621]) ).
fof(f1621,plain,
( r1(sK35,sK26(sK35))
| ~ spl36_268 ),
inference(avatar_component_clause,[],[f1620]) ).
fof(f1620,plain,
( spl36_268
<=> r1(sK35,sK26(sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_268])]) ).
fof(f1691,plain,
( ! [X0] :
( ~ r1(X0,sK26(sK35))
| ~ r1(sK24,X0) )
| ~ spl36_49
| spl36_191
| ~ spl36_250 ),
inference(resolution,[],[f1652,f367]) ).
fof(f367,plain,
( sP4(sK24)
| ~ spl36_49 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f365,plain,
( spl36_49
<=> sP4(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_49])]) ).
fof(f1652,plain,
( ! [X0,X1] :
( ~ sP4(X0)
| ~ r1(X1,sK26(sK35))
| ~ r1(X0,X1) )
| spl36_191
| ~ spl36_250 ),
inference(subsumption_resolution,[],[f1629,f1162]) ).
fof(f1162,plain,
( ~ p2(sK26(sK35))
| spl36_191 ),
inference(avatar_component_clause,[],[f1161]) ).
fof(f1161,plain,
( spl36_191
<=> p2(sK26(sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_191])]) ).
fof(f1629,plain,
( ! [X0,X1] :
( ~ r1(X0,X1)
| p2(sK26(sK35))
| ~ r1(X1,sK26(sK35))
| ~ sP4(X0) )
| ~ spl36_250 ),
inference(resolution,[],[f1508,f72]) ).
fof(f72,plain,
! [X2,X0,X1] :
( ~ p2(sK10(X2))
| ~ sP4(X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| p2(X2) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( p2(sK9(X2))
& r1(X2,sK9(X2))
& ~ p2(sK10(X2))
& r1(sK9(X2),sK10(X2)) )
| p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP4(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f21,f23,f22]) ).
fof(f22,plain,
! [X2] :
( ? [X3] :
( p2(X3)
& r1(X2,X3)
& ? [X4] :
( ~ p2(X4)
& r1(X3,X4) ) )
=> ( p2(sK9(X2))
& r1(X2,sK9(X2))
& ? [X4] :
( ~ p2(X4)
& r1(sK9(X2),X4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
! [X2] :
( ? [X4] :
( ~ p2(X4)
& r1(sK9(X2),X4) )
=> ( ~ p2(sK10(X2))
& r1(sK9(X2),sK10(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] :
( p2(X3)
& r1(X2,X3)
& ? [X4] :
( ~ p2(X4)
& r1(X3,X4) ) )
| p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP4(X0) ),
inference(rectify,[],[f20]) ).
fof(f20,plain,
! [X0] :
( ! [X50] :
( ! [X51] :
( ? [X52] :
( p2(X52)
& r1(X51,X52)
& ? [X53] :
( ~ p2(X53)
& r1(X52,X53) ) )
| p2(X51)
| ~ r1(X50,X51) )
| ~ r1(X0,X50) )
| ~ sP4(X0) ),
inference(nnf_transformation,[],[f11]) ).
fof(f1508,plain,
( p2(sK10(sK26(sK35)))
| ~ spl36_250 ),
inference(avatar_component_clause,[],[f1506]) ).
fof(f1506,plain,
( spl36_250
<=> p2(sK10(sK26(sK35))) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_250])]) ).
fof(f1628,plain,
spl36_268,
inference(avatar_contradiction_clause,[],[f1627]) ).
fof(f1627,plain,
( $false
| spl36_268 ),
inference(subsumption_resolution,[],[f1626,f103]) ).
fof(f103,plain,
~ p2(sK35),
inference(cnf_transformation,[],[f63]) ).
fof(f1626,plain,
( p2(sK35)
| spl36_268 ),
inference(subsumption_resolution,[],[f1625,f102]) ).
fof(f1625,plain,
( ~ r1(sK24,sK35)
| p2(sK35)
| spl36_268 ),
inference(resolution,[],[f1622,f123]) ).
fof(f1622,plain,
( ~ r1(sK35,sK26(sK35))
| spl36_268 ),
inference(avatar_component_clause,[],[f1620]) ).
fof(f1623,plain,
( spl36_250
| ~ spl36_268
| ~ spl36_49
| spl36_191
| ~ spl36_216 ),
inference(avatar_split_clause,[],[f1618,f1278,f1161,f365,f1620,f1506]) ).
fof(f1278,plain,
( spl36_216
<=> ! [X1] :
( p2(X1)
| ~ r1(sK9(sK26(sK35)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_216])]) ).
fof(f1618,plain,
( ~ r1(sK35,sK26(sK35))
| p2(sK10(sK26(sK35)))
| ~ spl36_49
| spl36_191
| ~ spl36_216 ),
inference(subsumption_resolution,[],[f1612,f1162]) ).
fof(f1612,plain,
( p2(sK10(sK26(sK35)))
| p2(sK26(sK35))
| ~ r1(sK35,sK26(sK35))
| ~ spl36_49
| ~ spl36_216 ),
inference(resolution,[],[f1473,f1279]) ).
fof(f1279,plain,
( ! [X1] :
( ~ r1(sK9(sK26(sK35)),X1)
| p2(X1) )
| ~ spl36_216 ),
inference(avatar_component_clause,[],[f1278]) ).
fof(f1473,plain,
( ! [X2] :
( r1(sK9(X2),sK10(X2))
| p2(X2)
| ~ r1(sK35,X2) )
| ~ spl36_49 ),
inference(resolution,[],[f918,f102]) ).
fof(f918,plain,
( ! [X0,X1] :
( ~ r1(sK24,X0)
| r1(sK9(X1),sK10(X1))
| ~ r1(X0,X1)
| p2(X1) )
| ~ spl36_49 ),
inference(resolution,[],[f367,f71]) ).
fof(f71,plain,
! [X2,X0,X1] :
( ~ sP4(X0)
| ~ r1(X0,X1)
| r1(sK9(X2),sK10(X2))
| p2(X2)
| ~ r1(X1,X2) ),
inference(cnf_transformation,[],[f24]) ).
fof(f1434,plain,
( spl36_216
| ~ spl36_49
| ~ spl36_190
| spl36_191 ),
inference(avatar_split_clause,[],[f1433,f1161,f1157,f365,f1278]) ).
fof(f1157,plain,
( spl36_190
<=> p2(sK9(sK26(sK35))) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_190])]) ).
fof(f1433,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK9(sK26(sK35)),X0) )
| ~ spl36_49
| ~ spl36_190
| spl36_191 ),
inference(subsumption_resolution,[],[f1432,f102]) ).
fof(f1432,plain,
( ! [X0] :
( ~ r1(sK24,sK35)
| p2(X0)
| ~ r1(sK9(sK26(sK35)),X0) )
| ~ spl36_49
| ~ spl36_190
| spl36_191 ),
inference(subsumption_resolution,[],[f1431,f1159]) ).
fof(f1159,plain,
( p2(sK9(sK26(sK35)))
| ~ spl36_190 ),
inference(avatar_component_clause,[],[f1157]) ).
fof(f1431,plain,
( ! [X0] :
( ~ r1(sK9(sK26(sK35)),X0)
| ~ p2(sK9(sK26(sK35)))
| p2(X0)
| ~ r1(sK24,sK35) )
| ~ spl36_49
| spl36_191 ),
inference(subsumption_resolution,[],[f1430,f103]) ).
fof(f1430,plain,
( ! [X0] :
( p2(sK35)
| ~ p2(sK9(sK26(sK35)))
| ~ r1(sK9(sK26(sK35)),X0)
| ~ r1(sK24,sK35)
| p2(X0) )
| ~ spl36_49
| spl36_191 ),
inference(resolution,[],[f1429,f125]) ).
fof(f1429,plain,
( r1(sK26(sK35),sK9(sK26(sK35)))
| ~ spl36_49
| spl36_191 ),
inference(subsumption_resolution,[],[f1428,f103]) ).
fof(f1428,plain,
( r1(sK26(sK35),sK9(sK26(sK35)))
| p2(sK35)
| ~ spl36_49
| spl36_191 ),
inference(subsumption_resolution,[],[f1427,f102]) ).
fof(f1427,plain,
( ~ r1(sK24,sK35)
| r1(sK26(sK35),sK9(sK26(sK35)))
| p2(sK35)
| ~ spl36_49
| spl36_191 ),
inference(subsumption_resolution,[],[f1410,f1162]) ).
fof(f1410,plain,
( p2(sK26(sK35))
| p2(sK35)
| r1(sK26(sK35),sK9(sK26(sK35)))
| ~ r1(sK24,sK35)
| ~ spl36_49 ),
inference(resolution,[],[f1319,f123]) ).
fof(f1319,plain,
( ! [X2] :
( ~ r1(sK35,X2)
| r1(X2,sK9(X2))
| p2(X2) )
| ~ spl36_49 ),
inference(resolution,[],[f919,f102]) ).
fof(f919,plain,
( ! [X2,X3] :
( ~ r1(sK24,X2)
| p2(X3)
| ~ r1(X2,X3)
| r1(X3,sK9(X3)) )
| ~ spl36_49 ),
inference(resolution,[],[f367,f73]) ).
fof(f73,plain,
! [X2,X0,X1] :
( ~ sP4(X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| p2(X2)
| r1(X2,sK9(X2)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f1170,plain,
~ spl36_191,
inference(avatar_contradiction_clause,[],[f1169]) ).
fof(f1169,plain,
( $false
| ~ spl36_191 ),
inference(subsumption_resolution,[],[f1168,f103]) ).
fof(f1168,plain,
( p2(sK35)
| ~ spl36_191 ),
inference(subsumption_resolution,[],[f1165,f102]) ).
fof(f1165,plain,
( ~ r1(sK24,sK35)
| p2(sK35)
| ~ spl36_191 ),
inference(resolution,[],[f1163,f124]) ).
fof(f1163,plain,
( p2(sK26(sK35))
| ~ spl36_191 ),
inference(avatar_component_clause,[],[f1161]) ).
fof(f1164,plain,
( spl36_190
| spl36_191
| ~ spl36_49 ),
inference(avatar_split_clause,[],[f1155,f365,f1161,f1157]) ).
fof(f1155,plain,
( p2(sK26(sK35))
| p2(sK9(sK26(sK35)))
| ~ spl36_49 ),
inference(subsumption_resolution,[],[f1154,f103]) ).
fof(f1154,plain,
( p2(sK9(sK26(sK35)))
| p2(sK35)
| p2(sK26(sK35))
| ~ spl36_49 ),
inference(subsumption_resolution,[],[f1117,f102]) ).
fof(f1117,plain,
( p2(sK26(sK35))
| p2(sK9(sK26(sK35)))
| ~ r1(sK24,sK35)
| p2(sK35)
| ~ spl36_49 ),
inference(resolution,[],[f1100,f123]) ).
fof(f1100,plain,
( ! [X2] :
( ~ r1(sK35,X2)
| p2(X2)
| p2(sK9(X2)) )
| ~ spl36_49 ),
inference(resolution,[],[f920,f102]) ).
fof(f920,plain,
( ! [X4,X5] :
( ~ r1(sK24,X4)
| p2(X5)
| p2(sK9(X5))
| ~ r1(X4,X5) )
| ~ spl36_49 ),
inference(resolution,[],[f367,f74]) ).
fof(f74,plain,
! [X2,X0,X1] :
( ~ sP4(X0)
| ~ r1(X1,X2)
| p2(sK9(X2))
| ~ r1(X0,X1)
| p2(X2) ),
inference(cnf_transformation,[],[f24]) ).
fof(f898,plain,
( ~ spl36_1
| ~ spl36_48
| spl36_49
| ~ spl36_89
| spl36_90 ),
inference(avatar_contradiction_clause,[],[f897]) ).
fof(f897,plain,
( $false
| ~ spl36_1
| ~ spl36_48
| spl36_49
| ~ spl36_89
| spl36_90 ),
inference(subsumption_resolution,[],[f896,f363]) ).
fof(f363,plain,
( r1(sK24,sK8(sK24))
| ~ spl36_48 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f361,plain,
( spl36_48
<=> r1(sK24,sK8(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_48])]) ).
fof(f896,plain,
( ~ r1(sK24,sK8(sK24))
| ~ spl36_1
| ~ spl36_48
| spl36_49
| ~ spl36_89
| spl36_90 ),
inference(subsumption_resolution,[],[f873,f592]) ).
fof(f592,plain,
( ~ p2(sK8(sK24))
| spl36_90 ),
inference(avatar_component_clause,[],[f591]) ).
fof(f591,plain,
( spl36_90
<=> p2(sK8(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_90])]) ).
fof(f873,plain,
( p2(sK8(sK24))
| ~ r1(sK24,sK8(sK24))
| ~ spl36_1
| ~ spl36_48
| spl36_49
| ~ spl36_89
| spl36_90 ),
inference(resolution,[],[f872,f121]) ).
fof(f872,plain,
( p2(sK28(sK8(sK24)))
| ~ spl36_1
| ~ spl36_48
| spl36_49
| ~ spl36_89
| spl36_90 ),
inference(subsumption_resolution,[],[f871,f592]) ).
fof(f871,plain,
( p2(sK8(sK24))
| p2(sK28(sK8(sK24)))
| ~ spl36_1
| ~ spl36_48
| spl36_49
| ~ spl36_89
| spl36_90 ),
inference(subsumption_resolution,[],[f834,f363]) ).
fof(f834,plain,
( ~ r1(sK24,sK8(sK24))
| p2(sK8(sK24))
| p2(sK28(sK8(sK24)))
| ~ spl36_1
| ~ spl36_48
| spl36_49
| ~ spl36_89
| spl36_90 ),
inference(resolution,[],[f818,f120]) ).
fof(f818,plain,
( ! [X2] :
( ~ r1(sK27(sK8(sK24)),X2)
| p2(X2) )
| ~ spl36_1
| ~ spl36_48
| spl36_49
| ~ spl36_89
| spl36_90 ),
inference(subsumption_resolution,[],[f817,f363]) ).
fof(f817,plain,
( ! [X2] :
( p2(X2)
| ~ r1(sK27(sK8(sK24)),X2)
| ~ r1(sK24,sK8(sK24)) )
| ~ spl36_1
| spl36_49
| ~ spl36_89
| spl36_90 ),
inference(subsumption_resolution,[],[f816,f589]) ).
fof(f589,plain,
( p2(sK27(sK8(sK24)))
| ~ spl36_89 ),
inference(avatar_component_clause,[],[f587]) ).
fof(f587,plain,
( spl36_89
<=> p2(sK27(sK8(sK24))) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_89])]) ).
fof(f816,plain,
( ! [X2] :
( ~ p2(sK27(sK8(sK24)))
| ~ r1(sK24,sK8(sK24))
| p2(X2)
| ~ r1(sK27(sK8(sK24)),X2) )
| ~ spl36_1
| spl36_49
| spl36_90 ),
inference(subsumption_resolution,[],[f783,f592]) ).
fof(f783,plain,
( ! [X2] :
( p2(sK8(sK24))
| ~ p2(sK27(sK8(sK24)))
| ~ r1(sK24,sK8(sK24))
| ~ r1(sK27(sK8(sK24)),X2)
| p2(X2) )
| ~ spl36_1
| spl36_49 ),
inference(resolution,[],[f751,f119]) ).
fof(f751,plain,
( ! [X0,X1] :
( ~ r1(sK8(sK24),X0)
| ~ p2(X0)
| ~ r1(X0,X1)
| p2(X1) )
| ~ spl36_1
| spl36_49 ),
inference(subsumption_resolution,[],[f699,f366]) ).
fof(f366,plain,
( ~ sP4(sK24)
| spl36_49 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f699,plain,
( ! [X0,X1] :
( ~ r1(X0,X1)
| ~ r1(sK8(sK24),X0)
| ~ p2(X0)
| p2(X1)
| sP4(sK24) )
| ~ spl36_1 ),
inference(resolution,[],[f64,f131]) ).
fof(f131,plain,
( sP5(sK24)
| ~ spl36_1 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f129,plain,
( spl36_1
<=> sP5(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_1])]) ).
fof(f64,plain,
! [X0,X4,X5] :
( ~ sP5(X0)
| ~ r1(X4,X5)
| ~ r1(sK8(X0),X4)
| ~ p2(X4)
| sP4(X0)
| p2(X5) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0] :
( ( ( ( p2(sK6(X0))
& r1(X0,sK6(X0))
& ~ p2(sK7(X0))
& r1(sK6(X0),sK7(X0)) )
| p2(X0) )
& ( sP4(X0)
| ( r1(X0,sK8(X0))
& ~ p2(sK8(X0))
& ! [X4] :
( ! [X5] :
( p2(X5)
| ~ r1(X4,X5) )
| ~ p2(X4)
| ~ r1(sK8(X0),X4) ) ) ) )
| ~ sP5(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f15,f18,f17,f16]) ).
fof(f16,plain,
! [X0] :
( ? [X1] :
( p2(X1)
& r1(X0,X1)
& ? [X2] :
( ~ p2(X2)
& r1(X1,X2) ) )
=> ( p2(sK6(X0))
& r1(X0,sK6(X0))
& ? [X2] :
( ~ p2(X2)
& r1(sK6(X0),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
! [X0] :
( ? [X2] :
( ~ p2(X2)
& r1(sK6(X0),X2) )
=> ( ~ p2(sK7(X0))
& r1(sK6(X0),sK7(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
! [X0] :
( ? [X3] :
( r1(X0,X3)
& ~ p2(X3)
& ! [X4] :
( ! [X5] :
( p2(X5)
| ~ r1(X4,X5) )
| ~ p2(X4)
| ~ r1(X3,X4) ) )
=> ( r1(X0,sK8(X0))
& ~ p2(sK8(X0))
& ! [X4] :
( ! [X5] :
( p2(X5)
| ~ r1(X4,X5) )
| ~ p2(X4)
| ~ r1(sK8(X0),X4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
! [X0] :
( ( ( ? [X1] :
( p2(X1)
& r1(X0,X1)
& ? [X2] :
( ~ p2(X2)
& r1(X1,X2) ) )
| p2(X0) )
& ( sP4(X0)
| ? [X3] :
( r1(X0,X3)
& ~ p2(X3)
& ! [X4] :
( ! [X5] :
( p2(X5)
| ~ r1(X4,X5) )
| ~ p2(X4)
| ~ r1(X3,X4) ) ) ) )
| ~ sP5(X0) ),
inference(rectify,[],[f14]) ).
fof(f14,plain,
! [X0] :
( ( ( ? [X54] :
( p2(X54)
& r1(X0,X54)
& ? [X55] :
( ~ p2(X55)
& r1(X54,X55) ) )
| p2(X0) )
& ( sP4(X0)
| ? [X47] :
( r1(X0,X47)
& ~ p2(X47)
& ! [X48] :
( ! [X49] :
( p2(X49)
| ~ r1(X48,X49) )
| ~ p2(X48)
| ~ r1(X47,X48) ) ) ) )
| ~ sP5(X0) ),
inference(nnf_transformation,[],[f12]) ).
fof(f764,plain,
( ~ spl36_1
| spl36_49
| ~ spl36_90 ),
inference(avatar_contradiction_clause,[],[f763]) ).
fof(f763,plain,
( $false
| ~ spl36_1
| spl36_49
| ~ spl36_90 ),
inference(subsumption_resolution,[],[f762,f131]) ).
fof(f762,plain,
( ~ sP5(sK24)
| spl36_49
| ~ spl36_90 ),
inference(subsumption_resolution,[],[f752,f366]) ).
fof(f752,plain,
( sP4(sK24)
| ~ sP5(sK24)
| ~ spl36_90 ),
inference(resolution,[],[f593,f65]) ).
fof(f65,plain,
! [X0] :
( ~ p2(sK8(X0))
| sP4(X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f593,plain,
( p2(sK8(sK24))
| ~ spl36_90 ),
inference(avatar_component_clause,[],[f591]) ).
fof(f604,plain,
( spl36_49
| spl36_48
| ~ spl36_1 ),
inference(avatar_split_clause,[],[f572,f129,f361,f365]) ).
fof(f572,plain,
( r1(sK24,sK8(sK24))
| sP4(sK24)
| ~ spl36_1 ),
inference(resolution,[],[f131,f66]) ).
fof(f66,plain,
! [X0] :
( ~ sP5(X0)
| r1(X0,sK8(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f594,plain,
( spl36_89
| spl36_90
| ~ spl36_48 ),
inference(avatar_split_clause,[],[f574,f361,f591,f587]) ).
fof(f574,plain,
( p2(sK8(sK24))
| p2(sK27(sK8(sK24)))
| ~ spl36_48 ),
inference(resolution,[],[f363,f122]) ).
fof(f122,plain,
! [X6] :
( ~ r1(sK24,X6)
| p2(X6)
| p2(sK27(X6)) ),
inference(cnf_transformation,[],[f63]) ).
fof(f550,plain,
( spl36_81
| spl36_82
| ~ spl36_2 ),
inference(avatar_split_clause,[],[f541,f133,f547,f543]) ).
fof(f541,plain,
( p2(sK20(sK22(sK29)))
| p2(sK22(sK29))
| ~ spl36_2 ),
inference(subsumption_resolution,[],[f536,f135]) ).
fof(f536,plain,
( p2(sK22(sK29))
| ~ sP0(sK29)
| p2(sK20(sK22(sK29)))
| ~ spl36_2 ),
inference(resolution,[],[f535,f97]) ).
fof(f535,plain,
( ! [X0] :
( ~ r1(sK29,X0)
| p2(sK20(X0))
| p2(X0) )
| ~ spl36_2 ),
inference(resolution,[],[f100,f135]) ).
fof(f296,plain,
( spl36_4
| spl36_33
| ~ spl36_5 ),
inference(avatar_split_clause,[],[f269,f146,f293,f141]) ).
fof(f269,plain,
( p2(sK27(sK29))
| p2(sK29)
| ~ spl36_5 ),
inference(resolution,[],[f122,f148]) ).
fof(f157,plain,
( spl36_1
| spl36_7 ),
inference(avatar_split_clause,[],[f118,f155,f129]) ).
fof(f118,plain,
! [X10,X11,X12] :
( sP3(X10)
| ~ r1(sK29,X10)
| ~ r1(X10,X11)
| sP5(sK24)
| ~ p2(X11)
| ~ r1(X11,X12)
| sP2(X10)
| p2(X12) ),
inference(cnf_transformation,[],[f63]) ).
fof(f153,plain,
( spl36_6
| spl36_1 ),
inference(avatar_split_clause,[],[f117,f129,f151]) ).
fof(f117,plain,
! [X10] :
( sP5(sK24)
| ~ p2(X10)
| sP3(X10)
| ~ r1(sK29,X10)
| sP2(X10) ),
inference(cnf_transformation,[],[f63]) ).
fof(f149,plain,
( spl36_5
| spl36_1 ),
inference(avatar_split_clause,[],[f116,f129,f146]) ).
fof(f116,plain,
( sP5(sK24)
| r1(sK24,sK29) ),
inference(cnf_transformation,[],[f63]) ).
fof(f144,plain,
( ~ spl36_4
| spl36_1
| spl36_2 ),
inference(avatar_split_clause,[],[f114,f133,f129,f141]) ).
fof(f114,plain,
( sP0(sK29)
| sP5(sK24)
| ~ p2(sK29) ),
inference(cnf_transformation,[],[f63]) ).
fof(f139,plain,
( spl36_1
| spl36_2
| spl36_3 ),
inference(avatar_split_clause,[],[f115,f137,f133,f129]) ).
fof(f115,plain,
! [X14,X13] :
( ~ r1(sK29,X13)
| ~ r1(X13,X14)
| sP0(sK29)
| p2(X14)
| sP5(sK24)
| ~ p2(X13) ),
inference(cnf_transformation,[],[f63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL642+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 02:27:05 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.53 % (21113)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.55 % (21117)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.21/0.56 % (21129)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.21/0.56 % (21121)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.58 % (21121)Instruction limit reached!
% 0.21/0.58 % (21121)------------------------------
% 0.21/0.58 % (21121)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58 % (21121)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58 % (21121)Termination reason: Unknown
% 0.21/0.58 % (21121)Termination phase: Preprocessing 3
% 0.21/0.58
% 0.21/0.58 % (21121)Memory used [KB]: 1535
% 0.21/0.58 % (21121)Time elapsed: 0.005 s
% 0.21/0.58 % (21121)Instructions burned: 3 (million)
% 0.21/0.58 % (21121)------------------------------
% 0.21/0.58 % (21121)------------------------------
% 0.21/0.58 % (21117)Instruction limit reached!
% 0.21/0.58 % (21117)------------------------------
% 0.21/0.58 % (21117)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58 % (21117)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58 % (21117)Termination reason: Unknown
% 0.21/0.58 % (21117)Termination phase: Saturation
% 0.21/0.58
% 0.21/0.58 % (21117)Memory used [KB]: 6396
% 0.21/0.58 % (21117)Time elapsed: 0.150 s
% 0.21/0.58 % (21117)Instructions burned: 12 (million)
% 0.21/0.58 % (21117)------------------------------
% 0.21/0.58 % (21117)------------------------------
% 0.21/0.59 % (21122)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.59 % (21112)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.59 % (21118)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.59 % (21130)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.21/0.59 % (21125)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.59 % (21133)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.60 % (21105)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.60 % (21125)Instruction limit reached!
% 0.21/0.60 % (21125)------------------------------
% 0.21/0.60 % (21125)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.60 % (21119)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.60 % (21125)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.60 % (21125)Termination reason: Unknown
% 0.21/0.60 % (21125)Termination phase: shuffling
% 0.21/0.60
% 0.21/0.60 % (21125)Memory used [KB]: 1407
% 0.21/0.60 % (21125)Time elapsed: 0.004 s
% 0.21/0.60 % (21125)Instructions burned: 2 (million)
% 0.21/0.60 % (21125)------------------------------
% 0.21/0.60 % (21125)------------------------------
% 0.21/0.60 % (21136)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.21/0.60 % (21104)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.60 % (21123)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.79/0.61 % (21103)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.79/0.61 % (21115)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.79/0.61 % (21120)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.79/0.61 % (21124)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.79/0.61 % (21118)Instruction limit reached!
% 1.79/0.61 % (21118)------------------------------
% 1.79/0.61 % (21118)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.61 % (21118)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.61 % (21118)Termination reason: Unknown
% 1.79/0.61 % (21118)Termination phase: Saturation
% 1.79/0.61
% 1.79/0.61 % (21118)Memory used [KB]: 6140
% 1.79/0.61 % (21118)Time elapsed: 0.181 s
% 1.79/0.61 % (21118)Instructions burned: 8 (million)
% 1.79/0.61 % (21118)------------------------------
% 1.79/0.61 % (21118)------------------------------
% 1.79/0.61 % (21124)Instruction limit reached!
% 1.79/0.61 % (21124)------------------------------
% 1.79/0.61 % (21124)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.61 % (21124)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.61 % (21124)Termination reason: Unknown
% 1.79/0.61 % (21124)Termination phase: Preprocessing 3
% 1.79/0.61
% 1.79/0.61 % (21124)Memory used [KB]: 1535
% 1.79/0.61 % (21124)Time elapsed: 0.003 s
% 1.79/0.61 % (21124)Instructions burned: 3 (million)
% 1.79/0.61 % (21124)------------------------------
% 1.79/0.61 % (21124)------------------------------
% 1.79/0.61 % (21128)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.79/0.61 % (21131)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.79/0.61 % (21110)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.79/0.61 % (21113)Instruction limit reached!
% 1.79/0.61 % (21113)------------------------------
% 1.79/0.61 % (21113)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.61 % (21113)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.61 % (21113)Termination reason: Unknown
% 1.79/0.61 % (21113)Termination phase: Saturation
% 1.79/0.61
% 1.79/0.61 % (21113)Memory used [KB]: 6780
% 1.79/0.61 % (21113)Time elapsed: 0.178 s
% 1.79/0.61 % (21113)Instructions burned: 40 (million)
% 1.79/0.61 % (21113)------------------------------
% 1.79/0.61 % (21113)------------------------------
% 1.79/0.61 % (21122)Instruction limit reached!
% 1.79/0.61 % (21122)------------------------------
% 1.79/0.61 % (21122)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.61 % (21122)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.61 % (21122)Termination reason: Unknown
% 1.79/0.61 % (21122)Termination phase: Saturation
% 1.79/0.61
% 1.79/0.61 % (21122)Memory used [KB]: 6268
% 1.79/0.61 % (21122)Time elapsed: 0.132 s
% 1.79/0.61 % (21122)Instructions burned: 7 (million)
% 1.79/0.61 % (21122)------------------------------
% 1.79/0.61 % (21122)------------------------------
% 1.79/0.62 % (21116)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.79/0.62 % (21134)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.79/0.62 % (21107)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.79/0.62 % (21112)Instruction limit reached!
% 1.79/0.62 % (21112)------------------------------
% 1.79/0.62 % (21112)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.62 % (21112)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.62 % (21112)Termination reason: Unknown
% 1.79/0.62 % (21112)Termination phase: Saturation
% 1.79/0.62
% 1.79/0.62 % (21112)Memory used [KB]: 1663
% 1.79/0.62 % (21112)Time elapsed: 0.195 s
% 1.79/0.62 % (21112)Instructions burned: 16 (million)
% 1.79/0.62 % (21112)------------------------------
% 1.79/0.62 % (21112)------------------------------
% 1.79/0.62 % (21132)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.79/0.62 % (21105)Instruction limit reached!
% 1.79/0.62 % (21105)------------------------------
% 1.79/0.62 % (21105)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.62 % (21105)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.62 % (21105)Termination reason: Unknown
% 1.79/0.62 % (21105)Termination phase: Property scanning
% 1.79/0.62
% 1.79/0.62 % (21105)Memory used [KB]: 1535
% 1.79/0.62 % (21105)Time elapsed: 0.005 s
% 1.79/0.62 % (21105)Instructions burned: 3 (million)
% 1.79/0.62 % (21105)------------------------------
% 1.79/0.62 % (21105)------------------------------
% 1.79/0.62 % (21114)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.79/0.62 % (21126)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.79/0.62 % (21104)Instruction limit reached!
% 1.79/0.62 % (21104)------------------------------
% 1.79/0.62 % (21104)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.62 % (21104)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.62 % (21104)Termination reason: Unknown
% 1.79/0.62 % (21104)Termination phase: Saturation
% 1.79/0.62
% 1.79/0.62 % (21104)Memory used [KB]: 6396
% 1.79/0.62 % (21104)Time elapsed: 0.175 s
% 1.79/0.62 % (21104)Instructions burned: 13 (million)
% 1.79/0.62 % (21104)------------------------------
% 1.79/0.62 % (21104)------------------------------
% 2.12/0.63 % (21119)Instruction limit reached!
% 2.12/0.63 % (21119)------------------------------
% 2.12/0.63 % (21119)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.63 % (21119)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.63 % (21119)Termination reason: Unknown
% 2.12/0.63 % (21119)Termination phase: Saturation
% 2.12/0.63
% 2.12/0.63 % (21119)Memory used [KB]: 1918
% 2.12/0.63 % (21119)Time elapsed: 0.204 s
% 2.12/0.63 % (21119)Instructions burned: 16 (million)
% 2.12/0.63 % (21119)------------------------------
% 2.12/0.63 % (21119)------------------------------
% 2.12/0.63 % (21135)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 2.12/0.64 % (21107)Refutation not found, incomplete strategy% (21107)------------------------------
% 2.12/0.64 % (21107)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.64 % (21107)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.64 % (21107)Termination reason: Refutation not found, incomplete strategy
% 2.12/0.64
% 2.12/0.64 % (21107)Memory used [KB]: 6268
% 2.12/0.64 % (21107)Time elapsed: 0.196 s
% 2.12/0.64 % (21107)Instructions burned: 13 (million)
% 2.12/0.64 % (21107)------------------------------
% 2.12/0.64 % (21107)------------------------------
% 2.12/0.64 % (21116)Refutation not found, incomplete strategy% (21116)------------------------------
% 2.12/0.64 % (21116)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.64 % (21116)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.64 % (21116)Termination reason: Refutation not found, incomplete strategy
% 2.12/0.64
% 2.12/0.64 % (21116)Memory used [KB]: 6268
% 2.12/0.64 % (21116)Time elapsed: 0.195 s
% 2.12/0.64 % (21116)Instructions burned: 10 (million)
% 2.12/0.64 % (21116)------------------------------
% 2.12/0.64 % (21116)------------------------------
% 2.12/0.64 % (21110)Instruction limit reached!
% 2.12/0.64 % (21110)------------------------------
% 2.12/0.64 % (21110)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.64 % (21110)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.64 % (21110)Termination reason: Unknown
% 2.12/0.64 % (21110)Termination phase: Property scanning
% 2.12/0.64
% 2.12/0.64 % (21110)Memory used [KB]: 2814
% 2.12/0.64 % (21110)Time elapsed: 0.011 s
% 2.12/0.64 % (21110)Instructions burned: 13 (million)
% 2.12/0.64 % (21110)------------------------------
% 2.12/0.64 % (21110)------------------------------
% 2.12/0.64 % (21127)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 2.12/0.65 % (21135)Instruction limit reached!
% 2.12/0.65 % (21135)------------------------------
% 2.12/0.65 % (21135)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.65 % (21135)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.65 % (21135)Termination reason: Unknown
% 2.12/0.65 % (21135)Termination phase: Saturation
% 2.12/0.65
% 2.12/0.65 % (21135)Memory used [KB]: 6268
% 2.12/0.65 % (21135)Time elapsed: 0.204 s
% 2.12/0.65 % (21135)Instructions burned: 8 (million)
% 2.12/0.65 % (21135)------------------------------
% 2.12/0.65 % (21135)------------------------------
% 2.12/0.65 % (21120)Refutation not found, incomplete strategy% (21120)------------------------------
% 2.12/0.65 % (21120)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.65 % (21120)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.65 % (21120)Termination reason: Refutation not found, incomplete strategy
% 2.12/0.65
% 2.12/0.65 % (21120)Memory used [KB]: 6268
% 2.12/0.65 % (21120)Time elapsed: 0.207 s
% 2.12/0.65 % (21120)Instructions burned: 12 (million)
% 2.12/0.65 % (21120)------------------------------
% 2.12/0.65 % (21120)------------------------------
% 2.32/0.67 % (21126)Instruction limit reached!
% 2.32/0.67 % (21126)------------------------------
% 2.32/0.67 % (21126)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.67 % (21136)Instruction limit reached!
% 2.32/0.67 % (21136)------------------------------
% 2.32/0.67 % (21136)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.67 % (21126)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.67 % (21136)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.67 % (21126)Termination reason: Unknown
% 2.32/0.67 % (21136)Termination reason: Unknown
% 2.32/0.67 % (21126)Termination phase: Saturation
% 2.32/0.67 % (21136)Termination phase: Property scanning
% 2.32/0.67
% 2.32/0.67
% 2.32/0.67 % (21126)Memory used [KB]: 6524
% 2.32/0.67 % (21136)Memory used [KB]: 2814
% 2.32/0.67 % (21136)Time elapsed: 0.016 s
% 2.32/0.67 % (21126)Time elapsed: 0.207 s
% 2.32/0.67 % (21136)Instructions burned: 24 (million)
% 2.32/0.67 % (21126)Instructions burned: 11 (million)
% 2.32/0.67 % (21136)------------------------------
% 2.32/0.67 % (21136)------------------------------
% 2.32/0.67 % (21126)------------------------------
% 2.32/0.67 % (21126)------------------------------
% 2.32/0.67 % (21130)Instruction limit reached!
% 2.32/0.67 % (21130)------------------------------
% 2.32/0.67 % (21130)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.67 % (21130)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.67 % (21130)Termination reason: Unknown
% 2.32/0.67 % (21130)Termination phase: Saturation
% 2.32/0.67
% 2.32/0.67 % (21130)Memory used [KB]: 2046
% 2.32/0.67 % (21130)Time elapsed: 0.197 s
% 2.32/0.67 % (21130)Instructions burned: 46 (million)
% 2.32/0.67 % (21130)------------------------------
% 2.32/0.67 % (21130)------------------------------
% 2.32/0.69 % (21129)Instruction limit reached!
% 2.32/0.69 % (21129)------------------------------
% 2.32/0.69 % (21129)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.69 % (21129)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.69 % (21129)Termination reason: Unknown
% 2.32/0.69 % (21129)Termination phase: Property scanning
% 2.32/0.69
% 2.32/0.69 % (21129)Memory used [KB]: 2814
% 2.32/0.69 % (21129)Time elapsed: 0.055 s
% 2.32/0.69 % (21129)Instructions burned: 83 (million)
% 2.32/0.69 % (21129)------------------------------
% 2.32/0.69 % (21129)------------------------------
% 2.32/0.69 % (21114)Instruction limit reached!
% 2.32/0.69 % (21114)------------------------------
% 2.32/0.69 % (21114)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.69 % (21114)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.69 % (21114)Termination reason: Unknown
% 2.32/0.69 % (21114)Termination phase: Saturation
% 2.32/0.69
% 2.32/0.69 % (21114)Memory used [KB]: 6908
% 2.32/0.69 % (21114)Time elapsed: 0.215 s
% 2.32/0.69 % (21114)Instructions burned: 40 (million)
% 2.32/0.69 % (21114)------------------------------
% 2.32/0.69 % (21114)------------------------------
% 2.32/0.70 % (21134)Instruction limit reached!
% 2.32/0.70 % (21134)------------------------------
% 2.32/0.70 % (21134)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.70 % (21134)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.70 % (21134)Termination reason: Unknown
% 2.32/0.70 % (21134)Termination phase: Saturation
% 2.32/0.70
% 2.32/0.70 % (21134)Memory used [KB]: 6396
% 2.32/0.70 % (21134)Time elapsed: 0.272 s
% 2.32/0.70 % (21134)Instructions burned: 25 (million)
% 2.32/0.70 % (21134)------------------------------
% 2.32/0.70 % (21134)------------------------------
% 2.32/0.72 % (21133)Instruction limit reached!
% 2.32/0.72 % (21133)------------------------------
% 2.32/0.72 % (21133)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.72 % (21133)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.72 % (21133)Termination reason: Unknown
% 2.32/0.72 % (21133)Termination phase: Saturation
% 2.32/0.72
% 2.32/0.72 % (21133)Memory used [KB]: 7547
% 2.32/0.72 % (21133)Time elapsed: 0.288 s
% 2.32/0.72 % (21133)Instructions burned: 99 (million)
% 2.32/0.72 % (21133)------------------------------
% 2.32/0.72 % (21133)------------------------------
% 2.32/0.73 % (21127)Instruction limit reached!
% 2.32/0.73 % (21127)------------------------------
% 2.32/0.73 % (21127)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.73 % (21127)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.73 % (21127)Termination reason: Unknown
% 2.32/0.73 % (21127)Termination phase: Saturation
% 2.32/0.73
% 2.32/0.73 % (21127)Memory used [KB]: 6652
% 2.32/0.73 % (21127)Time elapsed: 0.304 s
% 2.32/0.73 % (21127)Instructions burned: 30 (million)
% 2.32/0.73 % (21127)------------------------------
% 2.32/0.73 % (21127)------------------------------
% 2.58/0.74 % (21173)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/69Mi)
% 2.58/0.74 % (21123)Instruction limit reached!
% 2.58/0.74 % (21123)------------------------------
% 2.58/0.74 % (21123)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.74 % (21123)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.74 % (21123)Termination reason: Unknown
% 2.58/0.74 % (21123)Termination phase: Saturation
% 2.58/0.74
% 2.58/0.74 % (21123)Memory used [KB]: 6908
% 2.58/0.74 % (21123)Time elapsed: 0.314 s
% 2.58/0.74 % (21123)Instructions burned: 51 (million)
% 2.58/0.74 % (21123)------------------------------
% 2.58/0.74 % (21123)------------------------------
% 2.58/0.74 % (21115)Instruction limit reached!
% 2.58/0.74 % (21115)------------------------------
% 2.58/0.74 % (21115)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.74 % (21115)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.74 % (21115)Termination reason: Unknown
% 2.58/0.74 % (21115)Termination phase: Saturation
% 2.58/0.74
% 2.58/0.74 % (21115)Memory used [KB]: 7036
% 2.58/0.74 % (21115)Time elapsed: 0.303 s
% 2.58/0.74 % (21115)Instructions burned: 50 (million)
% 2.58/0.74 % (21115)------------------------------
% 2.58/0.74 % (21115)------------------------------
% 2.58/0.75 % (21131)Instruction limit reached!
% 2.58/0.75 % (21131)------------------------------
% 2.58/0.75 % (21131)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.75 % (21131)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.75 % (21131)Termination reason: Unknown
% 2.58/0.75 % (21131)Termination phase: Saturation
% 2.58/0.75
% 2.58/0.75 % (21131)Memory used [KB]: 7036
% 2.58/0.75 % (21131)Time elapsed: 0.322 s
% 2.58/0.75 % (21131)Instructions burned: 50 (million)
% 2.58/0.75 % (21131)------------------------------
% 2.58/0.75 % (21131)------------------------------
% 2.58/0.75 % (21132)First to succeed.
% 2.58/0.76 % (21132)Refutation found. Thanks to Tanya!
% 2.58/0.76 % SZS status Theorem for theBenchmark
% 2.58/0.76 % SZS output start Proof for theBenchmark
% See solution above
% 2.58/0.76 % (21132)------------------------------
% 2.58/0.76 % (21132)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.76 % (21132)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.76 % (21132)Termination reason: Refutation
% 2.58/0.76
% 2.58/0.76 % (21132)Memory used [KB]: 7931
% 2.58/0.76 % (21132)Time elapsed: 0.317 s
% 2.58/0.76 % (21132)Instructions burned: 52 (million)
% 2.58/0.76 % (21132)------------------------------
% 2.58/0.76 % (21132)------------------------------
% 2.58/0.76 % (21102)Success in time 0.386 s
%------------------------------------------------------------------------------