TSTP Solution File: LCL660+1.001 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LCL660+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 : n008.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 17:44:07 EDT 2022
% Result : Theorem 3.38s 0.88s
% Output : Refutation 3.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 80
% Syntax : Number of formulae : 389 ( 3 unt; 0 def)
% Number of atoms : 2926 ( 0 equ)
% Maximal formula atoms : 120 ( 7 avg)
% Number of connectives : 4433 (1896 ~;1914 |; 552 &)
% ( 39 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 52 ( 51 usr; 40 prp; 0-2 aty)
% Number of functors : 32 ( 32 usr; 5 con; 0-1 aty)
% Number of variables : 1146 ( 911 !; 235 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4590,plain,
$false,
inference(avatar_sat_refutation,[],[f153,f161,f168,f173,f178,f187,f191,f195,f199,f203,f208,f212,f216,f250,f1978,f2082,f2105,f2226,f2341,f2506,f2939,f3052,f3088,f3163,f3184,f3195,f3375,f3756,f3789,f3962,f3963,f3964,f3986,f3995,f3997,f4005,f4070,f4275,f4278,f4281,f4283,f4500,f4589]) ).
fof(f4589,plain,
( spl41_193
| spl41_85
| ~ spl41_376 ),
inference(avatar_split_clause,[],[f4588,f4497,f2190,f2800]) ).
fof(f2800,plain,
( spl41_193
<=> ! [X8] :
( ~ r1(X8,sK23(sK29))
| ~ sP4(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_193])]) ).
fof(f2190,plain,
( spl41_85
<=> p2(sK23(sK29)) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_85])]) ).
fof(f4497,plain,
( spl41_376
<=> p2(sK13(sK23(sK29))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_376])]) ).
fof(f4588,plain,
( ! [X0] :
( ~ r1(X0,sK23(sK29))
| ~ sP4(X0) )
| spl41_85
| ~ spl41_376 ),
inference(subsumption_resolution,[],[f4587,f2192]) ).
fof(f2192,plain,
( ~ p2(sK23(sK29))
| spl41_85 ),
inference(avatar_component_clause,[],[f2190]) ).
fof(f4587,plain,
( ! [X0] :
( p2(sK23(sK29))
| ~ r1(X0,sK23(sK29))
| ~ sP4(X0) )
| ~ spl41_376 ),
inference(resolution,[],[f4499,f90]) ).
fof(f90,plain,
! [X0,X1] :
( ~ p2(sK13(X1))
| ~ r1(X0,X1)
| p2(X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ( ( r1(sK12(X1),sK13(X1))
& ~ p2(sK13(X1))
& p2(sK12(X1))
& r1(X1,sK12(X1)) )
| p2(X1) )
& ( sP2(X1)
| ( r1(X1,sK14(X1))
& ~ p2(sK14(X1))
& ! [X5] :
( ! [X6] :
( p2(X6)
| ~ r1(X5,X6) )
| ~ r1(sK14(X1),X5)
| ~ p2(X5) ) ) ) ) )
| ~ sP4(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13,sK14])],[f28,f31,f30,f29]) ).
fof(f29,plain,
! [X1] :
( ? [X2] :
( ? [X3] :
( r1(X2,X3)
& ~ p2(X3) )
& p2(X2)
& r1(X1,X2) )
=> ( ? [X3] :
( r1(sK12(X1),X3)
& ~ p2(X3) )
& p2(sK12(X1))
& r1(X1,sK12(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
! [X1] :
( ? [X3] :
( r1(sK12(X1),X3)
& ~ p2(X3) )
=> ( r1(sK12(X1),sK13(X1))
& ~ p2(sK13(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
! [X1] :
( ? [X4] :
( r1(X1,X4)
& ~ p2(X4)
& ! [X5] :
( ! [X6] :
( p2(X6)
| ~ r1(X5,X6) )
| ~ r1(X4,X5)
| ~ p2(X5) ) )
=> ( r1(X1,sK14(X1))
& ~ p2(sK14(X1))
& ! [X5] :
( ! [X6] :
( p2(X6)
| ~ r1(X5,X6) )
| ~ r1(sK14(X1),X5)
| ~ p2(X5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ( ? [X2] :
( ? [X3] :
( r1(X2,X3)
& ~ p2(X3) )
& p2(X2)
& r1(X1,X2) )
| p2(X1) )
& ( sP2(X1)
| ? [X4] :
( r1(X1,X4)
& ~ p2(X4)
& ! [X5] :
( ! [X6] :
( p2(X6)
| ~ r1(X5,X6) )
| ~ r1(X4,X5)
| ~ p2(X5) ) ) ) ) )
| ~ sP4(X0) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
! [X6] :
( ! [X7] :
( ~ r1(X6,X7)
| ( ( ? [X15] :
( ? [X16] :
( r1(X15,X16)
& ~ p2(X16) )
& p2(X15)
& r1(X7,X15) )
| p2(X7) )
& ( sP2(X7)
| ? [X12] :
( r1(X7,X12)
& ~ p2(X12)
& ! [X13] :
( ! [X14] :
( p2(X14)
| ~ r1(X13,X14) )
| ~ r1(X12,X13)
| ~ p2(X13) ) ) ) ) )
| ~ sP4(X6) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X6] :
( ! [X7] :
( ~ r1(X6,X7)
| ( ( ? [X15] :
( ? [X16] :
( r1(X15,X16)
& ~ p2(X16) )
& p2(X15)
& r1(X7,X15) )
| p2(X7) )
& ( sP2(X7)
| ? [X12] :
( r1(X7,X12)
& ~ p2(X12)
& ! [X13] :
( ! [X14] :
( p2(X14)
| ~ r1(X13,X14) )
| ~ r1(X12,X13)
| ~ p2(X13) ) ) ) ) )
| ~ sP4(X6) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f4499,plain,
( p2(sK13(sK23(sK29)))
| ~ spl41_376 ),
inference(avatar_component_clause,[],[f4497]) ).
fof(f4500,plain,
( spl41_193
| spl41_376
| spl41_85
| ~ spl41_194 ),
inference(avatar_split_clause,[],[f4495,f2803,f2190,f4497,f2800]) ).
fof(f2803,plain,
( spl41_194
<=> ! [X7] :
( ~ r1(sK12(sK23(sK29)),X7)
| p2(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_194])]) ).
fof(f4495,plain,
( ! [X0] :
( p2(sK13(sK23(sK29)))
| ~ sP4(X0)
| ~ r1(X0,sK23(sK29)) )
| spl41_85
| ~ spl41_194 ),
inference(subsumption_resolution,[],[f4476,f2192]) ).
fof(f4476,plain,
( ! [X0] :
( p2(sK23(sK29))
| ~ r1(X0,sK23(sK29))
| p2(sK13(sK23(sK29)))
| ~ sP4(X0) )
| ~ spl41_194 ),
inference(resolution,[],[f2804,f91]) ).
fof(f91,plain,
! [X0,X1] :
( r1(sK12(X1),sK13(X1))
| ~ r1(X0,X1)
| p2(X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f2804,plain,
( ! [X7] :
( ~ r1(sK12(sK23(sK29)),X7)
| p2(X7) )
| ~ spl41_194 ),
inference(avatar_component_clause,[],[f2803]) ).
fof(f4283,plain,
( spl41_84
| spl41_83
| ~ spl41_9
| ~ spl41_11 ),
inference(avatar_split_clause,[],[f4282,f189,f180,f2159,f2184]) ).
fof(f2184,plain,
( spl41_84
<=> sP4(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_84])]) ).
fof(f2159,plain,
( spl41_83
<=> sP3(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_83])]) ).
fof(f180,plain,
( spl41_9
<=> p2(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_9])]) ).
fof(f189,plain,
( spl41_11
<=> ! [X2] :
( ~ r1(sK29,X2)
| ~ p2(X2)
| sP3(X2)
| sP4(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_11])]) ).
fof(f4282,plain,
( sP3(sK29)
| sP4(sK29)
| ~ spl41_9
| ~ spl41_11 ),
inference(subsumption_resolution,[],[f2166,f181]) ).
fof(f181,plain,
( p2(sK29)
| ~ spl41_9 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f2166,plain,
( sP3(sK29)
| sP4(sK29)
| ~ p2(sK29)
| ~ spl41_11 ),
inference(resolution,[],[f190,f73]) ).
fof(f73,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f190,plain,
( ! [X2] :
( ~ r1(sK29,X2)
| ~ p2(X2)
| sP3(X2)
| sP4(X2) )
| ~ spl41_11 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f4281,plain,
( ~ spl41_84
| ~ spl41_10
| ~ spl41_193 ),
inference(avatar_split_clause,[],[f4280,f2800,f184,f2184]) ).
fof(f184,plain,
( spl41_10
<=> sP1(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_10])]) ).
fof(f4280,plain,
( ~ sP4(sK29)
| ~ spl41_10
| ~ spl41_193 ),
inference(subsumption_resolution,[],[f4084,f186]) ).
fof(f186,plain,
( sP1(sK29)
| ~ spl41_10 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f4084,plain,
( ~ sP1(sK29)
| ~ sP4(sK29)
| ~ spl41_193 ),
inference(resolution,[],[f2801,f104]) ).
fof(f104,plain,
! [X0] :
( r1(X0,sK23(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ( ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ( r1(X1,sK21(X1))
& ~ p2(sK22(X1))
& r1(sK21(X1),sK22(X1))
& p2(sK21(X1)) ) )
& ! [X6] :
( ~ p2(X6)
| ~ r1(sK24(X0),X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) ) )
& r1(sK23(X0),sK24(X0))
& ~ p2(sK24(X0))
& r1(X0,sK23(X0)) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21,sK22,sK23,sK24])],[f46,f50,f49,f48,f47]) ).
fof(f47,plain,
! [X1] :
( ? [X2] :
( r1(X1,X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& p2(X2) )
=> ( r1(X1,sK21(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK21(X1),X3) )
& p2(sK21(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK21(X1),X3) )
=> ( ~ p2(sK22(X1))
& r1(sK21(X1),sK22(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ~ r1(X5,X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) ) )
& r1(X4,X5)
& ~ p2(X5) )
& r1(X0,X4) )
=> ( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ~ r1(X5,X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) ) )
& r1(sK23(X0),X5)
& ~ p2(X5) )
& r1(X0,sK23(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
! [X0] :
( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ~ r1(X5,X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) ) )
& r1(sK23(X0),X5)
& ~ p2(X5) )
=> ( ! [X6] :
( ~ p2(X6)
| ~ r1(sK24(X0),X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) ) )
& r1(sK23(X0),sK24(X0))
& ~ p2(sK24(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
! [X0] :
( ( ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ? [X2] :
( r1(X1,X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& p2(X2) ) )
& ? [X4] :
( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ~ r1(X5,X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) ) )
& r1(X4,X5)
& ~ p2(X5) )
& r1(X0,X4) ) )
| ~ sP1(X0) ),
inference(rectify,[],[f45]) ).
fof(f45,plain,
! [X5] :
( ( ! [X30] :
( ~ r1(X5,X30)
| p2(X30)
| ? [X31] :
( r1(X30,X31)
& ? [X32] :
( ~ p2(X32)
& r1(X31,X32) )
& p2(X31) ) )
& ? [X26] :
( ? [X27] :
( ! [X28] :
( ~ p2(X28)
| ~ r1(X27,X28)
| ! [X29] :
( p2(X29)
| ~ r1(X28,X29) ) )
& r1(X26,X27)
& ~ p2(X27) )
& r1(X5,X26) ) )
| ~ sP1(X5) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X5] :
( ( ! [X30] :
( ~ r1(X5,X30)
| p2(X30)
| ? [X31] :
( r1(X30,X31)
& ? [X32] :
( ~ p2(X32)
& r1(X31,X32) )
& p2(X31) ) )
& ? [X26] :
( ? [X27] :
( ! [X28] :
( ~ p2(X28)
| ~ r1(X27,X28)
| ! [X29] :
( p2(X29)
| ~ r1(X28,X29) ) )
& r1(X26,X27)
& ~ p2(X27) )
& r1(X5,X26) ) )
| ~ sP1(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f2801,plain,
( ! [X8] :
( ~ r1(X8,sK23(sK29))
| ~ sP4(X8) )
| ~ spl41_193 ),
inference(avatar_component_clause,[],[f2800]) ).
fof(f4278,plain,
( spl41_115
| spl41_92
| ~ spl41_345 ),
inference(avatar_split_clause,[],[f4277,f4272,f2223,f2385]) ).
fof(f2385,plain,
( spl41_115
<=> ! [X12] :
( ~ sP3(X12)
| ~ r1(X12,sK17(sK29)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_115])]) ).
fof(f2223,plain,
( spl41_92
<=> p2(sK17(sK29)) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_92])]) ).
fof(f4272,plain,
( spl41_345
<=> p2(sK16(sK17(sK29))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_345])]) ).
fof(f4277,plain,
( ! [X0] :
( ~ r1(X0,sK17(sK29))
| ~ sP3(X0) )
| spl41_92
| ~ spl41_345 ),
inference(subsumption_resolution,[],[f4276,f2225]) ).
fof(f2225,plain,
( ~ p2(sK17(sK29))
| spl41_92 ),
inference(avatar_component_clause,[],[f2223]) ).
fof(f4276,plain,
( ! [X0] :
( ~ sP3(X0)
| p2(sK17(sK29))
| ~ r1(X0,sK17(sK29)) )
| ~ spl41_345 ),
inference(resolution,[],[f4274,f99]) ).
fof(f99,plain,
! [X0,X1] :
( ~ p2(sK16(X1))
| ~ sP3(X0)
| ~ r1(X0,X1)
| p2(X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0] :
( ( ! [X1] :
( p2(X1)
| ~ r1(X0,X1)
| ( ~ p2(sK16(X1))
& r1(sK15(X1),sK16(X1))
& p2(sK15(X1))
& r1(X1,sK15(X1)) ) )
& r1(X0,sK17(X0))
& ~ p2(sK18(X0))
& ! [X6] :
( ~ p2(X6)
| ~ r1(sK18(X0),X6)
| ! [X7] :
( ~ r1(X6,X7)
| p2(X7) ) )
& r1(sK17(X0),sK18(X0)) )
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16,sK17,sK18])],[f34,f38,f37,f36,f35]) ).
fof(f35,plain,
! [X1] :
( ? [X2] :
( ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& p2(X2)
& r1(X1,X2) )
=> ( ? [X3] :
( ~ p2(X3)
& r1(sK15(X1),X3) )
& p2(sK15(X1))
& r1(X1,sK15(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK15(X1),X3) )
=> ( ~ p2(sK16(X1))
& r1(sK15(X1),sK16(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
! [X0] :
( ? [X4] :
( r1(X0,X4)
& ? [X5] :
( ~ p2(X5)
& ! [X6] :
( ~ p2(X6)
| ~ r1(X5,X6)
| ! [X7] :
( ~ r1(X6,X7)
| p2(X7) ) )
& r1(X4,X5) ) )
=> ( r1(X0,sK17(X0))
& ? [X5] :
( ~ p2(X5)
& ! [X6] :
( ~ p2(X6)
| ~ r1(X5,X6)
| ! [X7] :
( ~ r1(X6,X7)
| p2(X7) ) )
& r1(sK17(X0),X5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
! [X0] :
( ? [X5] :
( ~ p2(X5)
& ! [X6] :
( ~ p2(X6)
| ~ r1(X5,X6)
| ! [X7] :
( ~ r1(X6,X7)
| p2(X7) ) )
& r1(sK17(X0),X5) )
=> ( ~ p2(sK18(X0))
& ! [X6] :
( ~ p2(X6)
| ~ r1(sK18(X0),X6)
| ! [X7] :
( ~ r1(X6,X7)
| p2(X7) ) )
& r1(sK17(X0),sK18(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
! [X0] :
( ( ! [X1] :
( p2(X1)
| ~ r1(X0,X1)
| ? [X2] :
( ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& p2(X2)
& r1(X1,X2) ) )
& ? [X4] :
( r1(X0,X4)
& ? [X5] :
( ~ p2(X5)
& ! [X6] :
( ~ p2(X6)
| ~ r1(X5,X6)
| ! [X7] :
( ~ r1(X6,X7)
| p2(X7) ) )
& r1(X4,X5) ) ) )
| ~ sP3(X0) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
! [X6] :
( ( ! [X19] :
( p2(X19)
| ~ r1(X6,X19)
| ? [X20] :
( ? [X21] :
( ~ p2(X21)
& r1(X20,X21) )
& p2(X20)
& r1(X19,X20) ) )
& ? [X22] :
( r1(X6,X22)
& ? [X23] :
( ~ p2(X23)
& ! [X24] :
( ~ p2(X24)
| ~ r1(X23,X24)
| ! [X25] :
( ~ r1(X24,X25)
| p2(X25) ) )
& r1(X22,X23) ) ) )
| ~ sP3(X6) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X6] :
( ( ! [X19] :
( p2(X19)
| ~ r1(X6,X19)
| ? [X20] :
( ? [X21] :
( ~ p2(X21)
& r1(X20,X21) )
& p2(X20)
& r1(X19,X20) ) )
& ? [X22] :
( r1(X6,X22)
& ? [X23] :
( ~ p2(X23)
& ! [X24] :
( ~ p2(X24)
| ~ r1(X23,X24)
| ! [X25] :
( ~ r1(X24,X25)
| p2(X25) ) )
& r1(X22,X23) ) ) )
| ~ sP3(X6) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f4274,plain,
( p2(sK16(sK17(sK29)))
| ~ spl41_345 ),
inference(avatar_component_clause,[],[f4272]) ).
fof(f4275,plain,
( spl41_115
| spl41_345
| spl41_92
| ~ spl41_116 ),
inference(avatar_split_clause,[],[f4270,f2388,f2223,f4272,f2385]) ).
fof(f2388,plain,
( spl41_116
<=> ! [X11] :
( ~ r1(sK15(sK17(sK29)),X11)
| p2(X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_116])]) ).
fof(f4270,plain,
( ! [X0] :
( p2(sK16(sK17(sK29)))
| ~ sP3(X0)
| ~ r1(X0,sK17(sK29)) )
| spl41_92
| ~ spl41_116 ),
inference(subsumption_resolution,[],[f4186,f2225]) ).
fof(f4186,plain,
( ! [X0] :
( p2(sK16(sK17(sK29)))
| p2(sK17(sK29))
| ~ r1(X0,sK17(sK29))
| ~ sP3(X0) )
| ~ spl41_116 ),
inference(resolution,[],[f2389,f98]) ).
fof(f98,plain,
! [X0,X1] :
( r1(sK15(X1),sK16(X1))
| ~ sP3(X0)
| p2(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f2389,plain,
( ! [X11] :
( ~ r1(sK15(sK17(sK29)),X11)
| p2(X11) )
| ~ spl41_116 ),
inference(avatar_component_clause,[],[f2388]) ).
fof(f4070,plain,
( ~ spl41_83
| ~ spl41_115 ),
inference(avatar_contradiction_clause,[],[f4069]) ).
fof(f4069,plain,
( $false
| ~ spl41_83
| ~ spl41_115 ),
inference(subsumption_resolution,[],[f4068,f2160]) ).
fof(f2160,plain,
( sP3(sK29)
| ~ spl41_83 ),
inference(avatar_component_clause,[],[f2159]) ).
fof(f4068,plain,
( ~ sP3(sK29)
| ~ spl41_115 ),
inference(duplicate_literal_removal,[],[f4066]) ).
fof(f4066,plain,
( ~ sP3(sK29)
| ~ sP3(sK29)
| ~ spl41_115 ),
inference(resolution,[],[f2386,f95]) ).
fof(f95,plain,
! [X0] :
( r1(X0,sK17(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f2386,plain,
( ! [X12] :
( ~ r1(X12,sK17(sK29))
| ~ sP3(X12) )
| ~ spl41_115 ),
inference(avatar_component_clause,[],[f2385]) ).
fof(f4005,plain,
( ~ spl41_85
| ~ spl41_10
| ~ spl41_11 ),
inference(avatar_split_clause,[],[f4004,f189,f184,f2190]) ).
fof(f4004,plain,
( ~ sP1(sK29)
| ~ p2(sK23(sK29))
| ~ spl41_11 ),
inference(subsumption_resolution,[],[f4003,f1221]) ).
fof(f1221,plain,
! [X1] :
( ~ sP4(sK23(X1))
| ~ sP1(X1) ),
inference(duplicate_literal_removal,[],[f1220]) ).
fof(f1220,plain,
! [X1] :
( ~ sP1(X1)
| ~ sP1(X1)
| ~ sP4(sK23(X1))
| ~ sP4(sK23(X1)) ),
inference(resolution,[],[f1214,f106]) ).
fof(f106,plain,
! [X0] :
( r1(sK23(X0),sK24(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1214,plain,
! [X2,X3] :
( ~ r1(X3,sK24(X2))
| ~ sP1(X2)
| ~ sP4(sK23(X2))
| ~ sP4(X3) ),
inference(duplicate_literal_removal,[],[f1213]) ).
fof(f1213,plain,
! [X2,X3] :
( ~ sP4(sK23(X2))
| ~ sP4(X3)
| ~ sP1(X2)
| ~ sP1(X2)
| ~ r1(X3,sK24(X2)) ),
inference(resolution,[],[f1201,f106]) ).
fof(f1201,plain,
! [X2,X0,X1] :
( ~ r1(X2,sK24(X1))
| ~ sP4(X2)
| ~ r1(X0,sK24(X1))
| ~ sP4(X0)
| ~ sP1(X1) ),
inference(subsumption_resolution,[],[f1200,f105]) ).
fof(f105,plain,
! [X0] :
( ~ p2(sK24(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1200,plain,
! [X2,X0,X1] :
( ~ sP4(X0)
| ~ r1(X2,sK24(X1))
| ~ sP1(X1)
| ~ r1(X0,sK24(X1))
| ~ sP4(X2)
| p2(sK24(X1)) ),
inference(subsumption_resolution,[],[f1199,f89]) ).
fof(f89,plain,
! [X0,X1] :
( p2(sK12(X1))
| ~ r1(X0,X1)
| p2(X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f1199,plain,
! [X2,X0,X1] :
( ~ sP4(X2)
| ~ sP1(X1)
| ~ p2(sK12(sK24(X1)))
| p2(sK24(X1))
| ~ sP4(X0)
| ~ r1(X2,sK24(X1))
| ~ r1(X0,sK24(X1)) ),
inference(subsumption_resolution,[],[f1182,f90]) ).
fof(f1182,plain,
! [X2,X0,X1] :
( ~ sP4(X2)
| ~ r1(X0,sK24(X1))
| ~ sP1(X1)
| ~ sP4(X0)
| ~ r1(X2,sK24(X1))
| p2(sK13(sK24(X1)))
| p2(sK24(X1))
| ~ p2(sK12(sK24(X1))) ),
inference(resolution,[],[f407,f91]) ).
fof(f407,plain,
! [X8,X6,X7] :
( ~ r1(sK12(sK24(X6)),X7)
| ~ sP4(X8)
| ~ r1(X8,sK24(X6))
| p2(X7)
| ~ p2(sK12(sK24(X6)))
| ~ sP1(X6) ),
inference(subsumption_resolution,[],[f396,f105]) ).
fof(f396,plain,
! [X8,X6,X7] :
( ~ r1(sK12(sK24(X6)),X7)
| p2(X7)
| ~ r1(X8,sK24(X6))
| p2(sK24(X6))
| ~ sP1(X6)
| ~ sP4(X8)
| ~ p2(sK12(sK24(X6))) ),
inference(resolution,[],[f107,f88]) ).
fof(f88,plain,
! [X0,X1] :
( r1(X1,sK12(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f107,plain,
! [X0,X6,X7] :
( ~ r1(sK24(X0),X6)
| ~ sP1(X0)
| ~ r1(X6,X7)
| p2(X7)
| ~ p2(X6) ),
inference(cnf_transformation,[],[f51]) ).
fof(f4003,plain,
( ~ sP1(sK29)
| ~ p2(sK23(sK29))
| sP4(sK23(sK29))
| ~ spl41_11 ),
inference(subsumption_resolution,[],[f2176,f560]) ).
fof(f560,plain,
! [X1] :
( ~ sP3(sK23(X1))
| ~ sP1(X1) ),
inference(duplicate_literal_removal,[],[f559]) ).
fof(f559,plain,
! [X1] :
( ~ sP3(sK23(X1))
| ~ sP1(X1)
| ~ sP1(X1)
| ~ sP3(sK23(X1)) ),
inference(resolution,[],[f553,f106]) ).
fof(f553,plain,
! [X2,X3] :
( ~ r1(X3,sK24(X2))
| ~ sP1(X2)
| ~ sP3(sK23(X2))
| ~ sP3(X3) ),
inference(duplicate_literal_removal,[],[f552]) ).
fof(f552,plain,
! [X2,X3] :
( ~ sP3(sK23(X2))
| ~ sP1(X2)
| ~ r1(X3,sK24(X2))
| ~ sP3(X3)
| ~ sP1(X2) ),
inference(resolution,[],[f550,f106]) ).
fof(f550,plain,
! [X2,X0,X1] :
( ~ r1(X2,sK24(X0))
| ~ sP3(X2)
| ~ sP3(X1)
| ~ sP1(X0)
| ~ r1(X1,sK24(X0)) ),
inference(subsumption_resolution,[],[f549,f105]) ).
fof(f549,plain,
! [X2,X0,X1] :
( ~ sP1(X0)
| p2(sK24(X0))
| ~ sP3(X2)
| ~ r1(X1,sK24(X0))
| ~ sP3(X1)
| ~ r1(X2,sK24(X0)) ),
inference(subsumption_resolution,[],[f528,f99]) ).
fof(f528,plain,
! [X2,X0,X1] :
( ~ r1(X2,sK24(X0))
| ~ sP3(X2)
| ~ sP1(X0)
| ~ sP3(X1)
| p2(sK16(sK24(X0)))
| ~ r1(X1,sK24(X0))
| p2(sK24(X0)) ),
inference(resolution,[],[f409,f98]) ).
fof(f409,plain,
! [X14,X12,X13] :
( ~ r1(sK15(sK24(X12)),X13)
| p2(X13)
| ~ sP1(X12)
| ~ r1(X14,sK24(X12))
| ~ sP3(X14) ),
inference(subsumption_resolution,[],[f408,f105]) ).
fof(f408,plain,
! [X14,X12,X13] :
( ~ sP1(X12)
| ~ sP3(X14)
| ~ r1(X14,sK24(X12))
| ~ r1(sK15(sK24(X12)),X13)
| p2(X13)
| p2(sK24(X12)) ),
inference(subsumption_resolution,[],[f398,f97]) ).
fof(f97,plain,
! [X0,X1] :
( p2(sK15(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f398,plain,
! [X14,X12,X13] :
( ~ p2(sK15(sK24(X12)))
| p2(X13)
| p2(sK24(X12))
| ~ sP3(X14)
| ~ sP1(X12)
| ~ r1(sK15(sK24(X12)),X13)
| ~ r1(X14,sK24(X12)) ),
inference(resolution,[],[f107,f96]) ).
fof(f96,plain,
! [X0,X1] :
( r1(X1,sK15(X1))
| ~ r1(X0,X1)
| p2(X1)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f2176,plain,
( sP3(sK23(sK29))
| ~ p2(sK23(sK29))
| ~ sP1(sK29)
| sP4(sK23(sK29))
| ~ spl41_11 ),
inference(resolution,[],[f190,f104]) ).
fof(f3997,plain,
( ~ spl41_83
| spl41_103
| ~ spl41_4
| spl41_101 ),
inference(avatar_split_clause,[],[f3996,f2301,f159,f2309,f2159]) ).
fof(f2309,plain,
( spl41_103
<=> ! [X20,X19] :
( ~ p2(X19)
| ~ r1(sK17(sK29),X19)
| p2(X20)
| ~ r1(X19,X20) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_103])]) ).
fof(f159,plain,
( spl41_4
<=> ! [X4,X2,X3] :
( p2(X4)
| sP4(X2)
| sP3(X2)
| ~ r1(sK29,X2)
| ~ r1(X2,X3)
| ~ p2(X3)
| ~ r1(X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_4])]) ).
fof(f2301,plain,
( spl41_101
<=> sP4(sK17(sK29)) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_101])]) ).
fof(f3996,plain,
( ! [X19,X20] :
( ~ r1(sK17(sK29),X19)
| p2(X20)
| ~ sP3(sK29)
| ~ r1(X19,X20)
| ~ p2(X19) )
| ~ spl41_4
| spl41_101 ),
inference(subsumption_resolution,[],[f3965,f527]) ).
fof(f527,plain,
! [X1] :
( ~ sP3(sK17(X1))
| ~ sP3(X1) ),
inference(duplicate_literal_removal,[],[f526]) ).
fof(f526,plain,
! [X1] :
( ~ sP3(X1)
| ~ sP3(X1)
| ~ sP3(sK17(X1))
| ~ sP3(sK17(X1)) ),
inference(resolution,[],[f520,f92]) ).
fof(f92,plain,
! [X0] :
( r1(sK17(X0),sK18(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f520,plain,
! [X2,X3] :
( ~ r1(X2,sK18(X3))
| ~ sP3(X3)
| ~ sP3(X2)
| ~ sP3(sK17(X3)) ),
inference(duplicate_literal_removal,[],[f519]) ).
fof(f519,plain,
! [X2,X3] :
( ~ sP3(sK17(X3))
| ~ r1(X2,sK18(X3))
| ~ sP3(X3)
| ~ sP3(X2)
| ~ sP3(X3) ),
inference(resolution,[],[f517,f92]) ).
fof(f517,plain,
! [X2,X0,X1] :
( ~ r1(X2,sK18(X0))
| ~ sP3(X1)
| ~ r1(X1,sK18(X0))
| ~ sP3(X0)
| ~ sP3(X2) ),
inference(subsumption_resolution,[],[f516,f94]) ).
fof(f94,plain,
! [X0] :
( ~ p2(sK18(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f516,plain,
! [X2,X0,X1] :
( ~ sP3(X2)
| ~ r1(X2,sK18(X0))
| ~ r1(X1,sK18(X0))
| ~ sP3(X1)
| p2(sK18(X0))
| ~ sP3(X0) ),
inference(subsumption_resolution,[],[f495,f99]) ).
fof(f495,plain,
! [X2,X0,X1] :
( ~ sP3(X2)
| ~ r1(X1,sK18(X0))
| p2(sK16(sK18(X0)))
| ~ sP3(X0)
| ~ r1(X2,sK18(X0))
| p2(sK18(X0))
| ~ sP3(X1) ),
inference(resolution,[],[f363,f98]) ).
fof(f363,plain,
! [X14,X12,X13] :
( ~ r1(sK15(sK18(X12)),X13)
| p2(X13)
| ~ sP3(X12)
| ~ r1(X14,sK18(X12))
| ~ sP3(X14) ),
inference(subsumption_resolution,[],[f362,f94]) ).
fof(f362,plain,
! [X14,X12,X13] :
( ~ r1(X14,sK18(X12))
| ~ sP3(X14)
| ~ r1(sK15(sK18(X12)),X13)
| p2(X13)
| ~ sP3(X12)
| p2(sK18(X12)) ),
inference(subsumption_resolution,[],[f353,f97]) ).
fof(f353,plain,
! [X14,X12,X13] :
( ~ r1(X14,sK18(X12))
| ~ p2(sK15(sK18(X12)))
| p2(X13)
| ~ r1(sK15(sK18(X12)),X13)
| p2(sK18(X12))
| ~ sP3(X12)
| ~ sP3(X14) ),
inference(resolution,[],[f93,f96]) ).
fof(f93,plain,
! [X0,X6,X7] :
( ~ r1(sK18(X0),X6)
| ~ sP3(X0)
| ~ r1(X6,X7)
| p2(X7)
| ~ p2(X6) ),
inference(cnf_transformation,[],[f39]) ).
fof(f3965,plain,
( ! [X19,X20] :
( ~ sP3(sK29)
| p2(X20)
| ~ r1(X19,X20)
| ~ p2(X19)
| ~ r1(sK17(sK29),X19)
| sP3(sK17(sK29)) )
| ~ spl41_4
| spl41_101 ),
inference(subsumption_resolution,[],[f2274,f2302]) ).
fof(f2302,plain,
( ~ sP4(sK17(sK29))
| spl41_101 ),
inference(avatar_component_clause,[],[f2301]) ).
fof(f2274,plain,
( ! [X19,X20] :
( sP4(sK17(sK29))
| sP3(sK17(sK29))
| ~ r1(X19,X20)
| ~ sP3(sK29)
| ~ p2(X19)
| p2(X20)
| ~ r1(sK17(sK29),X19) )
| ~ spl41_4 ),
inference(resolution,[],[f160,f95]) ).
fof(f160,plain,
( ! [X2,X3,X4] :
( ~ r1(sK29,X2)
| sP4(X2)
| ~ r1(X2,X3)
| sP3(X2)
| ~ r1(X3,X4)
| ~ p2(X3)
| p2(X4) )
| ~ spl41_4 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f3995,plain,
( ~ spl41_10
| spl41_106
| ~ spl41_4 ),
inference(avatar_split_clause,[],[f3994,f159,f2324,f184]) ).
fof(f2324,plain,
( spl41_106
<=> ! [X29,X28] :
( ~ r1(sK23(sK29),X28)
| ~ r1(X28,X29)
| p2(X29)
| ~ p2(X28) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_106])]) ).
fof(f3994,plain,
( ! [X28,X29] :
( ~ r1(sK23(sK29),X28)
| p2(X29)
| ~ sP1(sK29)
| ~ p2(X28)
| ~ r1(X28,X29) )
| ~ spl41_4 ),
inference(subsumption_resolution,[],[f3993,f1221]) ).
fof(f3993,plain,
( ! [X28,X29] :
( sP4(sK23(sK29))
| ~ r1(sK23(sK29),X28)
| ~ r1(X28,X29)
| p2(X29)
| ~ p2(X28)
| ~ sP1(sK29) )
| ~ spl41_4 ),
inference(subsumption_resolution,[],[f2277,f560]) ).
fof(f2277,plain,
( ! [X28,X29] :
( ~ r1(sK23(sK29),X28)
| sP3(sK23(sK29))
| ~ sP1(sK29)
| ~ p2(X28)
| ~ r1(X28,X29)
| p2(X29)
| sP4(sK23(sK29)) )
| ~ spl41_4 ),
inference(resolution,[],[f160,f104]) ).
fof(f3986,plain,
( spl41_9
| spl41_239
| ~ spl41_253 ),
inference(avatar_split_clause,[],[f3985,f3157,f3062,f180]) ).
fof(f3062,plain,
( spl41_239
<=> ! [X34] :
( ~ sP0(X34)
| ~ r1(X34,sK29) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_239])]) ).
fof(f3157,plain,
( spl41_253
<=> ! [X20] :
( ~ r1(sK26(sK29),X20)
| p2(X20) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_253])]) ).
fof(f3985,plain,
( ! [X0] :
( ~ r1(X0,sK29)
| ~ sP0(X0)
| p2(sK29) )
| ~ spl41_253 ),
inference(subsumption_resolution,[],[f3274,f115]) ).
fof(f115,plain,
! [X2,X0] :
( ~ p2(sK27(X2))
| p2(X2)
| ~ sP0(X0)
| ~ r1(X0,X2) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ( ~ p2(sK25(X0))
& r1(X0,sK25(X0))
& ! [X2] :
( ( ~ p2(sK27(X2))
& r1(sK26(X2),sK27(X2))
& r1(X2,sK26(X2))
& p2(sK26(X2)) )
| ~ r1(X0,X2)
| p2(X2) ) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25,sK26,sK27])],[f53,f56,f55,f54]) ).
fof(f54,plain,
! [X0] :
( ? [X1] :
( ~ p2(X1)
& r1(X0,X1) )
=> ( ~ p2(sK25(X0))
& r1(X0,sK25(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
! [X2] :
( ? [X3] :
( ? [X4] :
( ~ p2(X4)
& r1(X3,X4) )
& r1(X2,X3)
& p2(X3) )
=> ( ? [X4] :
( ~ p2(X4)
& r1(sK26(X2),X4) )
& r1(X2,sK26(X2))
& p2(sK26(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
! [X2] :
( ? [X4] :
( ~ p2(X4)
& r1(sK26(X2),X4) )
=> ( ~ p2(sK27(X2))
& r1(sK26(X2),sK27(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
! [X0] :
( ( ? [X1] :
( ~ p2(X1)
& r1(X0,X1) )
& ! [X2] :
( ? [X3] :
( ? [X4] :
( ~ p2(X4)
& r1(X3,X4) )
& r1(X2,X3)
& p2(X3) )
| ~ r1(X0,X2)
| p2(X2) ) )
| ~ sP0(X0) ),
inference(rectify,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ( ? [X59] :
( ~ p2(X59)
& r1(X0,X59) )
& ! [X60] :
( ? [X61] :
( ? [X62] :
( ~ p2(X62)
& r1(X61,X62) )
& r1(X60,X61)
& p2(X61) )
| ~ r1(X0,X60)
| p2(X60) ) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,plain,
! [X0] :
( ( ? [X59] :
( ~ p2(X59)
& r1(X0,X59) )
& ! [X60] :
( ? [X61] :
( ? [X62] :
( ~ p2(X62)
& r1(X61,X62) )
& r1(X60,X61)
& p2(X61) )
| ~ r1(X0,X60)
| p2(X60) ) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f3274,plain,
( ! [X0] :
( p2(sK29)
| ~ sP0(X0)
| ~ r1(X0,sK29)
| p2(sK27(sK29)) )
| ~ spl41_253 ),
inference(resolution,[],[f3158,f114]) ).
fof(f114,plain,
! [X2,X0] :
( r1(sK26(X2),sK27(X2))
| p2(X2)
| ~ r1(X0,X2)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f3158,plain,
( ! [X20] :
( ~ r1(sK26(sK29),X20)
| p2(X20) )
| ~ spl41_253 ),
inference(avatar_component_clause,[],[f3157]) ).
fof(f3964,plain,
( ~ spl41_3
| spl41_24
| ~ spl41_6
| ~ spl41_12
| ~ spl41_13
| ~ spl41_16 ),
inference(avatar_split_clause,[],[f3731,f210,f197,f193,f166,f258,f155]) ).
fof(f155,plain,
( spl41_3
<=> sP6(sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_3])]) ).
fof(f258,plain,
( spl41_24
<=> sP5(sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_24])]) ).
fof(f166,plain,
( spl41_6
<=> ! [X22] :
( p2(X22)
| ~ r1(sK28,X22)
| r1(sK38(X22),sK39(X22)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_6])]) ).
fof(f193,plain,
( spl41_12
<=> ! [X22] :
( ~ r1(sK28,X22)
| p2(X22)
| p2(sK38(X22)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_12])]) ).
fof(f197,plain,
( spl41_13
<=> ! [X22] :
( ~ r1(sK28,X22)
| p2(X22)
| r1(X22,sK38(X22)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_13])]) ).
fof(f210,plain,
( spl41_16
<=> ! [X22] :
( ~ p2(sK39(X22))
| ~ r1(sK28,X22)
| p2(X22) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_16])]) ).
fof(f3731,plain,
( sP5(sK28)
| ~ sP6(sK28)
| ~ spl41_6
| ~ spl41_12
| ~ spl41_13
| ~ spl41_16 ),
inference(duplicate_literal_removal,[],[f3730]) ).
fof(f3730,plain,
( ~ sP6(sK28)
| sP5(sK28)
| ~ sP6(sK28)
| sP5(sK28)
| ~ spl41_6
| ~ spl41_12
| ~ spl41_13
| ~ spl41_16 ),
inference(resolution,[],[f3728,f74]) ).
fof(f74,plain,
! [X0] :
( r1(X0,sK9(X0))
| sP5(X0)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0] :
( ( ( p2(X0)
| ( r1(X0,sK7(X0))
& r1(sK7(X0),sK8(X0))
& ~ p2(sK8(X0))
& p2(sK7(X0)) ) )
& ( ( ~ p2(sK9(X0))
& ! [X4] :
( ! [X5] :
( ~ r1(X4,X5)
| p2(X5) )
| ~ p2(X4)
| ~ r1(sK9(X0),X4) )
& r1(X0,sK9(X0)) )
| sP5(X0) ) )
| ~ sP6(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9])],[f17,f20,f19,f18]) ).
fof(f18,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ? [X2] :
( r1(X1,X2)
& ~ p2(X2) )
& p2(X1) )
=> ( r1(X0,sK7(X0))
& ? [X2] :
( r1(sK7(X0),X2)
& ~ p2(X2) )
& p2(sK7(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
! [X0] :
( ? [X2] :
( r1(sK7(X0),X2)
& ~ p2(X2) )
=> ( r1(sK7(X0),sK8(X0))
& ~ p2(sK8(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
! [X0] :
( ? [X3] :
( ~ p2(X3)
& ! [X4] :
( ! [X5] :
( ~ r1(X4,X5)
| p2(X5) )
| ~ p2(X4)
| ~ r1(X3,X4) )
& r1(X0,X3) )
=> ( ~ p2(sK9(X0))
& ! [X4] :
( ! [X5] :
( ~ r1(X4,X5)
| p2(X5) )
| ~ p2(X4)
| ~ r1(sK9(X0),X4) )
& r1(X0,sK9(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
! [X0] :
( ( ( p2(X0)
| ? [X1] :
( r1(X0,X1)
& ? [X2] :
( r1(X1,X2)
& ~ p2(X2) )
& p2(X1) ) )
& ( ? [X3] :
( ~ p2(X3)
& ! [X4] :
( ! [X5] :
( ~ r1(X4,X5)
| p2(X5) )
| ~ p2(X4)
| ~ r1(X3,X4) )
& r1(X0,X3) )
| sP5(X0) ) )
| ~ sP6(X0) ),
inference(rectify,[],[f16]) ).
fof(f16,plain,
! [X0] :
( ( ( p2(X0)
| ? [X42] :
( r1(X0,X42)
& ? [X43] :
( r1(X42,X43)
& ~ p2(X43) )
& p2(X42) ) )
& ( ? [X39] :
( ~ p2(X39)
& ! [X40] :
( ! [X41] :
( ~ r1(X40,X41)
| p2(X41) )
| ~ p2(X40)
| ~ r1(X39,X40) )
& r1(X0,X39) )
| sP5(X0) ) )
| ~ sP6(X0) ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0] :
( ( ( p2(X0)
| ? [X42] :
( r1(X0,X42)
& ? [X43] :
( r1(X42,X43)
& ~ p2(X43) )
& p2(X42) ) )
& ( ? [X39] :
( ~ p2(X39)
& ! [X40] :
( ! [X41] :
( ~ r1(X40,X41)
| p2(X41) )
| ~ p2(X40)
| ~ r1(X39,X40) )
& r1(X0,X39) )
| sP5(X0) ) )
| ~ sP6(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f3728,plain,
( ! [X0] :
( ~ r1(sK28,sK9(X0))
| ~ sP6(X0)
| sP5(X0) )
| ~ spl41_6
| ~ spl41_12
| ~ spl41_13
| ~ spl41_16 ),
inference(subsumption_resolution,[],[f3727,f76]) ).
fof(f76,plain,
! [X0] :
( ~ p2(sK9(X0))
| ~ sP6(X0)
| sP5(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f3727,plain,
( ! [X0] :
( ~ sP6(X0)
| p2(sK9(X0))
| ~ r1(sK28,sK9(X0))
| sP5(X0) )
| ~ spl41_6
| ~ spl41_12
| ~ spl41_13
| ~ spl41_16 ),
inference(subsumption_resolution,[],[f3723,f211]) ).
fof(f211,plain,
( ! [X22] :
( ~ p2(sK39(X22))
| p2(X22)
| ~ r1(sK28,X22) )
| ~ spl41_16 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f3723,plain,
( ! [X0] :
( ~ r1(sK28,sK9(X0))
| p2(sK39(sK9(X0)))
| ~ sP6(X0)
| p2(sK9(X0))
| sP5(X0) )
| ~ spl41_6
| ~ spl41_12
| ~ spl41_13 ),
inference(duplicate_literal_removal,[],[f3704]) ).
fof(f3704,plain,
( ! [X0] :
( p2(sK9(X0))
| p2(sK39(sK9(X0)))
| ~ sP6(X0)
| sP5(X0)
| ~ r1(sK28,sK9(X0))
| ~ r1(sK28,sK9(X0)) )
| ~ spl41_6
| ~ spl41_12
| ~ spl41_13 ),
inference(resolution,[],[f3628,f167]) ).
fof(f167,plain,
( ! [X22] :
( r1(sK38(X22),sK39(X22))
| p2(X22)
| ~ r1(sK28,X22) )
| ~ spl41_6 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f3628,plain,
( ! [X18,X19] :
( ~ r1(sK38(sK9(X18)),X19)
| p2(X19)
| ~ sP6(X18)
| ~ r1(sK28,sK9(X18))
| sP5(X18) )
| ~ spl41_12
| ~ spl41_13 ),
inference(subsumption_resolution,[],[f3627,f76]) ).
fof(f3627,plain,
( ! [X18,X19] :
( sP5(X18)
| ~ sP6(X18)
| ~ r1(sK28,sK9(X18))
| p2(X19)
| p2(sK9(X18))
| ~ r1(sK38(sK9(X18)),X19) )
| ~ spl41_12
| ~ spl41_13 ),
inference(subsumption_resolution,[],[f3565,f194]) ).
fof(f194,plain,
( ! [X22] :
( p2(sK38(X22))
| ~ r1(sK28,X22)
| p2(X22) )
| ~ spl41_12 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f3565,plain,
( ! [X18,X19] :
( ~ r1(sK38(sK9(X18)),X19)
| ~ sP6(X18)
| p2(X19)
| ~ r1(sK28,sK9(X18))
| ~ p2(sK38(sK9(X18)))
| sP5(X18)
| p2(sK9(X18)) )
| ~ spl41_13 ),
inference(resolution,[],[f198,f75]) ).
fof(f75,plain,
! [X0,X4,X5] :
( ~ r1(sK9(X0),X4)
| sP5(X0)
| ~ p2(X4)
| ~ sP6(X0)
| ~ r1(X4,X5)
| p2(X5) ),
inference(cnf_transformation,[],[f21]) ).
fof(f198,plain,
( ! [X22] :
( r1(X22,sK38(X22))
| ~ r1(sK28,X22)
| p2(X22) )
| ~ spl41_13 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f3963,plain,
( ~ spl41_24
| ~ spl41_7
| ~ spl41_281 ),
inference(avatar_split_clause,[],[f3514,f3373,f170,f258]) ).
fof(f170,plain,
( spl41_7
<=> r1(sK28,sK37) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_7])]) ).
fof(f3373,plain,
( spl41_281
<=> ! [X1] :
( ~ r1(X1,sK37)
| ~ sP5(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_281])]) ).
fof(f3514,plain,
( ~ sP5(sK28)
| ~ spl41_7
| ~ spl41_281 ),
inference(resolution,[],[f3374,f172]) ).
fof(f172,plain,
( r1(sK28,sK37)
| ~ spl41_7 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f3374,plain,
( ! [X1] :
( ~ r1(X1,sK37)
| ~ sP5(X1) )
| ~ spl41_281 ),
inference(avatar_component_clause,[],[f3373]) ).
fof(f3962,plain,
( ~ spl41_6
| ~ spl41_8
| spl41_9
| ~ spl41_16
| ~ spl41_300 ),
inference(avatar_contradiction_clause,[],[f3961]) ).
fof(f3961,plain,
( $false
| ~ spl41_6
| ~ spl41_8
| spl41_9
| ~ spl41_16
| ~ spl41_300 ),
inference(subsumption_resolution,[],[f3960,f177]) ).
fof(f177,plain,
( r1(sK28,sK29)
| ~ spl41_8 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f175,plain,
( spl41_8
<=> r1(sK28,sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_8])]) ).
fof(f3960,plain,
( ~ r1(sK28,sK29)
| ~ spl41_6
| ~ spl41_8
| spl41_9
| ~ spl41_16
| ~ spl41_300 ),
inference(subsumption_resolution,[],[f3959,f182]) ).
fof(f182,plain,
( ~ p2(sK29)
| spl41_9 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f3959,plain,
( p2(sK29)
| ~ r1(sK28,sK29)
| ~ spl41_6
| ~ spl41_8
| spl41_9
| ~ spl41_16
| ~ spl41_300 ),
inference(resolution,[],[f3911,f211]) ).
fof(f3911,plain,
( p2(sK39(sK29))
| ~ spl41_6
| ~ spl41_8
| spl41_9
| ~ spl41_300 ),
inference(subsumption_resolution,[],[f3910,f177]) ).
fof(f3910,plain,
( p2(sK39(sK29))
| ~ r1(sK28,sK29)
| ~ spl41_6
| spl41_9
| ~ spl41_300 ),
inference(subsumption_resolution,[],[f3881,f182]) ).
fof(f3881,plain,
( p2(sK29)
| p2(sK39(sK29))
| ~ r1(sK28,sK29)
| ~ spl41_6
| ~ spl41_300 ),
inference(resolution,[],[f3755,f167]) ).
fof(f3755,plain,
( ! [X110] :
( ~ r1(sK38(sK29),X110)
| p2(X110) )
| ~ spl41_300 ),
inference(avatar_component_clause,[],[f3754]) ).
fof(f3754,plain,
( spl41_300
<=> ! [X110] :
( ~ r1(sK38(sK29),X110)
| p2(X110) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_300])]) ).
fof(f3789,plain,
( ~ spl41_8
| spl41_9
| ~ spl41_12
| spl41_298 ),
inference(avatar_contradiction_clause,[],[f3788]) ).
fof(f3788,plain,
( $false
| ~ spl41_8
| spl41_9
| ~ spl41_12
| spl41_298 ),
inference(subsumption_resolution,[],[f3787,f177]) ).
fof(f3787,plain,
( ~ r1(sK28,sK29)
| spl41_9
| ~ spl41_12
| spl41_298 ),
inference(subsumption_resolution,[],[f3786,f182]) ).
fof(f3786,plain,
( p2(sK29)
| ~ r1(sK28,sK29)
| ~ spl41_12
| spl41_298 ),
inference(resolution,[],[f3744,f194]) ).
fof(f3744,plain,
( ~ p2(sK38(sK29))
| spl41_298 ),
inference(avatar_component_clause,[],[f3742]) ).
fof(f3742,plain,
( spl41_298
<=> p2(sK38(sK29)) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_298])]) ).
fof(f3756,plain,
( ~ spl41_8
| ~ spl41_298
| spl41_300
| spl41_9
| ~ spl41_13
| ~ spl41_17 ),
inference(avatar_split_clause,[],[f3752,f214,f197,f180,f3754,f3742,f175]) ).
fof(f214,plain,
( spl41_17
<=> ! [X6,X5] :
( ~ r1(X5,X6)
| p2(X6)
| ~ r1(sK29,X5)
| ~ p2(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_17])]) ).
fof(f3752,plain,
( ! [X110] :
( ~ r1(sK38(sK29),X110)
| ~ p2(sK38(sK29))
| p2(X110)
| ~ r1(sK28,sK29) )
| spl41_9
| ~ spl41_13
| ~ spl41_17 ),
inference(subsumption_resolution,[],[f3612,f182]) ).
fof(f3612,plain,
( ! [X110] :
( ~ r1(sK28,sK29)
| ~ r1(sK38(sK29),X110)
| p2(sK29)
| ~ p2(sK38(sK29))
| p2(X110) )
| ~ spl41_13
| ~ spl41_17 ),
inference(resolution,[],[f198,f215]) ).
fof(f215,plain,
( ! [X6,X5] :
( ~ r1(sK29,X5)
| ~ p2(X5)
| p2(X6)
| ~ r1(X5,X6) )
| ~ spl41_17 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f3375,plain,
( spl41_281
| spl41_281
| ~ spl41_7
| spl41_15 ),
inference(avatar_split_clause,[],[f3371,f205,f170,f3373,f3373]) ).
fof(f205,plain,
( spl41_15
<=> p2(sK37) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_15])]) ).
fof(f3371,plain,
( ! [X2,X1] :
( ~ r1(X2,sK37)
| ~ r1(X1,sK37)
| ~ sP5(X1)
| ~ sP5(X2) )
| ~ spl41_7
| spl41_15 ),
inference(subsumption_resolution,[],[f3360,f207]) ).
fof(f207,plain,
( ~ p2(sK37)
| spl41_15 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f3360,plain,
( ! [X2,X1] :
( p2(sK37)
| ~ sP5(X2)
| ~ r1(X1,sK37)
| ~ sP5(X1)
| ~ r1(X2,sK37) )
| ~ spl41_7 ),
inference(resolution,[],[f172,f2044]) ).
fof(f2044,plain,
! [X2,X0,X1] :
( ~ r1(sK28,X1)
| p2(X1)
| ~ sP5(X2)
| ~ r1(X0,X1)
| ~ r1(X2,X1)
| ~ sP5(X0) ),
inference(duplicate_literal_removal,[],[f2042]) ).
fof(f2042,plain,
! [X2,X0,X1] :
( ~ r1(X2,X1)
| ~ sP5(X0)
| ~ r1(sK28,X1)
| p2(X1)
| ~ r1(X0,X1)
| ~ sP5(X2)
| p2(X1)
| ~ r1(sK28,X1) ),
inference(resolution,[],[f2041,f136]) ).
fof(f136,plain,
! [X8] :
( r1(X8,sK31(X8))
| ~ r1(sK28,X8)
| p2(X8) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
( ( sP6(sK28)
| ( ! [X2] :
( ( ~ p2(X2)
& ! [X3] :
( ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ p2(X3)
| ~ r1(X2,X3) ) )
| sP4(X2)
| sP3(X2)
| ~ r1(sK29,X2) )
& ( ( ~ p2(sK29)
& ! [X5] :
( ! [X6] :
( ~ r1(X5,X6)
| p2(X6) )
| ~ p2(X5)
| ~ r1(sK29,X5) ) )
| sP1(sK29) )
& r1(sK28,sK29) ) )
& r1(sK28,sK30)
& ~ p4(sK30)
& ! [X8] :
( ( ~ p2(sK31(X8))
& ! [X10] :
( ~ r1(sK31(X8),X10)
| ! [X11] :
( p2(X11)
| ~ r1(X10,X11) )
| ~ p2(X10) )
& r1(X8,sK31(X8)) )
| ~ r1(sK28,X8)
| p2(X8) )
& ( ! [X12] :
( ( r1(X12,sK32(X12))
& p3(sK32(X12)) )
| ~ r1(sK28,X12) )
| sP0(sK28) )
& ! [X14] :
( p4(X14)
| ~ r1(sK28,X14)
| ( p4(sK33(X14))
& r1(sK33(X14),sK34(X14))
& ~ p4(sK34(X14))
& r1(X14,sK33(X14)) ) )
& ! [X17] :
( ( p1(sK35(X17))
& r1(X17,sK35(X17))
& ~ p1(sK36(X17))
& r1(sK35(X17),sK36(X17)) )
| p1(X17)
| ~ r1(sK28,X17) )
& ( ! [X20] :
( ~ r1(sK28,X20)
| ~ p3(X20) )
| ( ~ p2(sK37)
& r1(sK28,sK37)
& ! [X22] :
( ( r1(sK38(X22),sK39(X22))
& ~ p2(sK39(X22))
& p2(sK38(X22))
& r1(X22,sK38(X22)) )
| ~ r1(sK28,X22)
| p2(X22) ) ) )
& r1(sK28,sK40)
& ~ p1(sK40) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35,sK36,sK37,sK38,sK39,sK40])],[f58,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59]) ).
fof(f59,plain,
( ? [X0] :
( ( sP6(X0)
| ? [X1] :
( ! [X2] :
( ( ~ p2(X2)
& ! [X3] :
( ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ p2(X3)
| ~ r1(X2,X3) ) )
| sP4(X2)
| sP3(X2)
| ~ r1(X1,X2) )
& ( ( ~ p2(X1)
& ! [X5] :
( ! [X6] :
( ~ r1(X5,X6)
| p2(X6) )
| ~ p2(X5)
| ~ r1(X1,X5) ) )
| sP1(X1) )
& r1(X0,X1) ) )
& ? [X7] :
( r1(X0,X7)
& ~ p4(X7) )
& ! [X8] :
( ? [X9] :
( ~ p2(X9)
& ! [X10] :
( ~ r1(X9,X10)
| ! [X11] :
( p2(X11)
| ~ r1(X10,X11) )
| ~ p2(X10) )
& r1(X8,X9) )
| ~ r1(X0,X8)
| p2(X8) )
& ( ! [X12] :
( ? [X13] :
( r1(X12,X13)
& p3(X13) )
| ~ r1(X0,X12) )
| sP0(X0) )
& ! [X14] :
( p4(X14)
| ~ r1(X0,X14)
| ? [X15] :
( p4(X15)
& ? [X16] :
( r1(X15,X16)
& ~ p4(X16) )
& r1(X14,X15) ) )
& ! [X17] :
( ? [X18] :
( p1(X18)
& r1(X17,X18)
& ? [X19] :
( ~ p1(X19)
& r1(X18,X19) ) )
| p1(X17)
| ~ r1(X0,X17) )
& ( ! [X20] :
( ~ r1(X0,X20)
| ~ p3(X20) )
| ( ? [X21] :
( ~ p2(X21)
& r1(X0,X21) )
& ! [X22] :
( ? [X23] :
( ? [X24] :
( r1(X23,X24)
& ~ p2(X24) )
& p2(X23)
& r1(X22,X23) )
| ~ r1(X0,X22)
| p2(X22) ) ) )
& ? [X25] :
( r1(X0,X25)
& ~ p1(X25) ) )
=> ( ( sP6(sK28)
| ? [X1] :
( ! [X2] :
( ( ~ p2(X2)
& ! [X3] :
( ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ p2(X3)
| ~ r1(X2,X3) ) )
| sP4(X2)
| sP3(X2)
| ~ r1(X1,X2) )
& ( ( ~ p2(X1)
& ! [X5] :
( ! [X6] :
( ~ r1(X5,X6)
| p2(X6) )
| ~ p2(X5)
| ~ r1(X1,X5) ) )
| sP1(X1) )
& r1(sK28,X1) ) )
& ? [X7] :
( r1(sK28,X7)
& ~ p4(X7) )
& ! [X8] :
( ? [X9] :
( ~ p2(X9)
& ! [X10] :
( ~ r1(X9,X10)
| ! [X11] :
( p2(X11)
| ~ r1(X10,X11) )
| ~ p2(X10) )
& r1(X8,X9) )
| ~ r1(sK28,X8)
| p2(X8) )
& ( ! [X12] :
( ? [X13] :
( r1(X12,X13)
& p3(X13) )
| ~ r1(sK28,X12) )
| sP0(sK28) )
& ! [X14] :
( p4(X14)
| ~ r1(sK28,X14)
| ? [X15] :
( p4(X15)
& ? [X16] :
( r1(X15,X16)
& ~ p4(X16) )
& r1(X14,X15) ) )
& ! [X17] :
( ? [X18] :
( p1(X18)
& r1(X17,X18)
& ? [X19] :
( ~ p1(X19)
& r1(X18,X19) ) )
| p1(X17)
| ~ r1(sK28,X17) )
& ( ! [X20] :
( ~ r1(sK28,X20)
| ~ p3(X20) )
| ( ? [X21] :
( ~ p2(X21)
& r1(sK28,X21) )
& ! [X22] :
( ? [X23] :
( ? [X24] :
( r1(X23,X24)
& ~ p2(X24) )
& p2(X23)
& r1(X22,X23) )
| ~ r1(sK28,X22)
| p2(X22) ) ) )
& ? [X25] :
( r1(sK28,X25)
& ~ p1(X25) ) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
( ? [X1] :
( ! [X2] :
( ( ~ p2(X2)
& ! [X3] :
( ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ p2(X3)
| ~ r1(X2,X3) ) )
| sP4(X2)
| sP3(X2)
| ~ r1(X1,X2) )
& ( ( ~ p2(X1)
& ! [X5] :
( ! [X6] :
( ~ r1(X5,X6)
| p2(X6) )
| ~ p2(X5)
| ~ r1(X1,X5) ) )
| sP1(X1) )
& r1(sK28,X1) )
=> ( ! [X2] :
( ( ~ p2(X2)
& ! [X3] :
( ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ p2(X3)
| ~ r1(X2,X3) ) )
| sP4(X2)
| sP3(X2)
| ~ r1(sK29,X2) )
& ( ( ~ p2(sK29)
& ! [X5] :
( ! [X6] :
( ~ r1(X5,X6)
| p2(X6) )
| ~ p2(X5)
| ~ r1(sK29,X5) ) )
| sP1(sK29) )
& r1(sK28,sK29) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
( ? [X7] :
( r1(sK28,X7)
& ~ p4(X7) )
=> ( r1(sK28,sK30)
& ~ p4(sK30) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
! [X8] :
( ? [X9] :
( ~ p2(X9)
& ! [X10] :
( ~ r1(X9,X10)
| ! [X11] :
( p2(X11)
| ~ r1(X10,X11) )
| ~ p2(X10) )
& r1(X8,X9) )
=> ( ~ p2(sK31(X8))
& ! [X10] :
( ~ r1(sK31(X8),X10)
| ! [X11] :
( p2(X11)
| ~ r1(X10,X11) )
| ~ p2(X10) )
& r1(X8,sK31(X8)) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
! [X12] :
( ? [X13] :
( r1(X12,X13)
& p3(X13) )
=> ( r1(X12,sK32(X12))
& p3(sK32(X12)) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
! [X14] :
( ? [X15] :
( p4(X15)
& ? [X16] :
( r1(X15,X16)
& ~ p4(X16) )
& r1(X14,X15) )
=> ( p4(sK33(X14))
& ? [X16] :
( r1(sK33(X14),X16)
& ~ p4(X16) )
& r1(X14,sK33(X14)) ) ),
introduced(choice_axiom,[]) ).
fof(f65,plain,
! [X14] :
( ? [X16] :
( r1(sK33(X14),X16)
& ~ p4(X16) )
=> ( r1(sK33(X14),sK34(X14))
& ~ p4(sK34(X14)) ) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
! [X17] :
( ? [X18] :
( p1(X18)
& r1(X17,X18)
& ? [X19] :
( ~ p1(X19)
& r1(X18,X19) ) )
=> ( p1(sK35(X17))
& r1(X17,sK35(X17))
& ? [X19] :
( ~ p1(X19)
& r1(sK35(X17),X19) ) ) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
! [X17] :
( ? [X19] :
( ~ p1(X19)
& r1(sK35(X17),X19) )
=> ( ~ p1(sK36(X17))
& r1(sK35(X17),sK36(X17)) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
( ? [X21] :
( ~ p2(X21)
& r1(sK28,X21) )
=> ( ~ p2(sK37)
& r1(sK28,sK37) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
! [X22] :
( ? [X23] :
( ? [X24] :
( r1(X23,X24)
& ~ p2(X24) )
& p2(X23)
& r1(X22,X23) )
=> ( ? [X24] :
( r1(sK38(X22),X24)
& ~ p2(X24) )
& p2(sK38(X22))
& r1(X22,sK38(X22)) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
! [X22] :
( ? [X24] :
( r1(sK38(X22),X24)
& ~ p2(X24) )
=> ( r1(sK38(X22),sK39(X22))
& ~ p2(sK39(X22)) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
( ? [X25] :
( r1(sK28,X25)
& ~ p1(X25) )
=> ( r1(sK28,sK40)
& ~ p1(sK40) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
? [X0] :
( ( sP6(X0)
| ? [X1] :
( ! [X2] :
( ( ~ p2(X2)
& ! [X3] :
( ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ p2(X3)
| ~ r1(X2,X3) ) )
| sP4(X2)
| sP3(X2)
| ~ r1(X1,X2) )
& ( ( ~ p2(X1)
& ! [X5] :
( ! [X6] :
( ~ r1(X5,X6)
| p2(X6) )
| ~ p2(X5)
| ~ r1(X1,X5) ) )
| sP1(X1) )
& r1(X0,X1) ) )
& ? [X7] :
( r1(X0,X7)
& ~ p4(X7) )
& ! [X8] :
( ? [X9] :
( ~ p2(X9)
& ! [X10] :
( ~ r1(X9,X10)
| ! [X11] :
( p2(X11)
| ~ r1(X10,X11) )
| ~ p2(X10) )
& r1(X8,X9) )
| ~ r1(X0,X8)
| p2(X8) )
& ( ! [X12] :
( ? [X13] :
( r1(X12,X13)
& p3(X13) )
| ~ r1(X0,X12) )
| sP0(X0) )
& ! [X14] :
( p4(X14)
| ~ r1(X0,X14)
| ? [X15] :
( p4(X15)
& ? [X16] :
( r1(X15,X16)
& ~ p4(X16) )
& r1(X14,X15) ) )
& ! [X17] :
( ? [X18] :
( p1(X18)
& r1(X17,X18)
& ? [X19] :
( ~ p1(X19)
& r1(X18,X19) ) )
| p1(X17)
| ~ r1(X0,X17) )
& ( ! [X20] :
( ~ r1(X0,X20)
| ~ p3(X20) )
| ( ? [X21] :
( ~ p2(X21)
& r1(X0,X21) )
& ! [X22] :
( ? [X23] :
( ? [X24] :
( r1(X23,X24)
& ~ p2(X24) )
& p2(X23)
& r1(X22,X23) )
| ~ r1(X0,X22)
| p2(X22) ) ) )
& ? [X25] :
( r1(X0,X25)
& ~ p1(X25) ) ),
inference(rectify,[],[f15]) ).
fof(f15,plain,
? [X0] :
( ( sP6(X0)
| ? [X5] :
( ! [X6] :
( ( ~ p2(X6)
& ! [X17] :
( ! [X18] :
( p2(X18)
| ~ r1(X17,X18) )
| ~ p2(X17)
| ~ r1(X6,X17) ) )
| sP4(X6)
| sP3(X6)
| ~ r1(X5,X6) )
& ( ( ~ p2(X5)
& ! [X33] :
( ! [X34] :
( ~ r1(X33,X34)
| p2(X34) )
| ~ p2(X33)
| ~ r1(X5,X33) ) )
| sP1(X5) )
& r1(X0,X5) ) )
& ? [X51] :
( r1(X0,X51)
& ~ p4(X51) )
& ! [X1] :
( ? [X2] :
( ~ p2(X2)
& ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ p2(X3) )
& r1(X1,X2) )
| ~ r1(X0,X1)
| p2(X1) )
& ( ! [X57] :
( ? [X58] :
( r1(X57,X58)
& p3(X58) )
| ~ r1(X0,X57) )
| sP0(X0) )
& ! [X48] :
( p4(X48)
| ~ r1(X0,X48)
| ? [X49] :
( p4(X49)
& ? [X50] :
( r1(X49,X50)
& ~ p4(X50) )
& r1(X48,X49) ) )
& ! [X44] :
( ? [X45] :
( p1(X45)
& r1(X44,X45)
& ? [X46] :
( ~ p1(X46)
& r1(X45,X46) ) )
| p1(X44)
| ~ r1(X0,X44) )
& ( ! [X52] :
( ~ r1(X0,X52)
| ~ p3(X52) )
| ( ? [X53] :
( ~ p2(X53)
& r1(X0,X53) )
& ! [X54] :
( ? [X55] :
( ? [X56] :
( r1(X55,X56)
& ~ p2(X56) )
& p2(X55)
& r1(X54,X55) )
| ~ r1(X0,X54)
| p2(X54) ) ) )
& ? [X47] :
( r1(X0,X47)
& ~ p1(X47) ) ),
inference(definition_folding,[],[f7,f14,f13,f12,f11,f10,f9,f8]) ).
fof(f10,plain,
! [X7] :
( ! [X8] :
( ! [X9] :
( ? [X10] :
( p2(X10)
& r1(X9,X10)
& ? [X11] :
( r1(X10,X11)
& ~ p2(X11) ) )
| ~ r1(X8,X9)
| p2(X9) )
| ~ r1(X7,X8) )
| ~ sP2(X7) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f13,plain,
! [X0] :
( ! [X35] :
( ~ r1(X0,X35)
| ! [X36] :
( ? [X37] :
( r1(X36,X37)
& p2(X37)
& ? [X38] :
( ~ p2(X38)
& r1(X37,X38) ) )
| p2(X36)
| ~ r1(X35,X36) ) )
| ~ sP5(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f7,plain,
? [X0] :
( ( ( ( p2(X0)
| ? [X42] :
( r1(X0,X42)
& ? [X43] :
( r1(X42,X43)
& ~ p2(X43) )
& p2(X42) ) )
& ( ? [X39] :
( ~ p2(X39)
& ! [X40] :
( ! [X41] :
( ~ r1(X40,X41)
| p2(X41) )
| ~ p2(X40)
| ~ r1(X39,X40) )
& r1(X0,X39) )
| ! [X35] :
( ~ r1(X0,X35)
| ! [X36] :
( ? [X37] :
( r1(X36,X37)
& p2(X37)
& ? [X38] :
( ~ p2(X38)
& r1(X37,X38) ) )
| p2(X36)
| ~ r1(X35,X36) ) ) ) )
| ? [X5] :
( ! [X6] :
( ( ~ p2(X6)
& ! [X17] :
( ! [X18] :
( p2(X18)
| ~ r1(X17,X18) )
| ~ p2(X17)
| ~ r1(X6,X17) ) )
| ! [X7] :
( ~ r1(X6,X7)
| ( ( ? [X15] :
( ? [X16] :
( r1(X15,X16)
& ~ p2(X16) )
& p2(X15)
& r1(X7,X15) )
| p2(X7) )
& ( ! [X8] :
( ! [X9] :
( ? [X10] :
( p2(X10)
& r1(X9,X10)
& ? [X11] :
( r1(X10,X11)
& ~ p2(X11) ) )
| ~ r1(X8,X9)
| p2(X9) )
| ~ r1(X7,X8) )
| ? [X12] :
( r1(X7,X12)
& ~ p2(X12)
& ! [X13] :
( ! [X14] :
( p2(X14)
| ~ r1(X13,X14) )
| ~ r1(X12,X13)
| ~ p2(X13) ) ) ) ) )
| ( ! [X19] :
( p2(X19)
| ~ r1(X6,X19)
| ? [X20] :
( ? [X21] :
( ~ p2(X21)
& r1(X20,X21) )
& p2(X20)
& r1(X19,X20) ) )
& ? [X22] :
( r1(X6,X22)
& ? [X23] :
( ~ p2(X23)
& ! [X24] :
( ~ p2(X24)
| ~ r1(X23,X24)
| ! [X25] :
( ~ r1(X24,X25)
| p2(X25) ) )
& r1(X22,X23) ) ) )
| ~ r1(X5,X6) )
& ( ( ~ p2(X5)
& ! [X33] :
( ! [X34] :
( ~ r1(X33,X34)
| p2(X34) )
| ~ p2(X33)
| ~ r1(X5,X33) ) )
| ( ! [X30] :
( ~ r1(X5,X30)
| p2(X30)
| ? [X31] :
( r1(X30,X31)
& ? [X32] :
( ~ p2(X32)
& r1(X31,X32) )
& p2(X31) ) )
& ? [X26] :
( ? [X27] :
( ! [X28] :
( ~ p2(X28)
| ~ r1(X27,X28)
| ! [X29] :
( p2(X29)
| ~ r1(X28,X29) ) )
& r1(X26,X27)
& ~ p2(X27) )
& r1(X5,X26) ) ) )
& r1(X0,X5) ) )
& ? [X51] :
( r1(X0,X51)
& ~ p4(X51) )
& ! [X1] :
( ? [X2] :
( ~ p2(X2)
& ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ p2(X3) )
& r1(X1,X2) )
| ~ r1(X0,X1)
| p2(X1) )
& ( ! [X57] :
( ? [X58] :
( r1(X57,X58)
& p3(X58) )
| ~ r1(X0,X57) )
| ( ? [X59] :
( ~ p2(X59)
& r1(X0,X59) )
& ! [X60] :
( ? [X61] :
( ? [X62] :
( ~ p2(X62)
& r1(X61,X62) )
& r1(X60,X61)
& p2(X61) )
| ~ r1(X0,X60)
| p2(X60) ) ) )
& ! [X48] :
( p4(X48)
| ~ r1(X0,X48)
| ? [X49] :
( p4(X49)
& ? [X50] :
( r1(X49,X50)
& ~ p4(X50) )
& r1(X48,X49) ) )
& ! [X44] :
( ? [X45] :
( p1(X45)
& r1(X44,X45)
& ? [X46] :
( ~ p1(X46)
& r1(X45,X46) ) )
| p1(X44)
| ~ r1(X0,X44) )
& ( ! [X52] :
( ~ r1(X0,X52)
| ~ p3(X52) )
| ( ? [X53] :
( ~ p2(X53)
& r1(X0,X53) )
& ! [X54] :
( ? [X55] :
( ? [X56] :
( r1(X55,X56)
& ~ p2(X56) )
& p2(X55)
& r1(X54,X55) )
| ~ r1(X0,X54)
| p2(X54) ) ) )
& ? [X47] :
( r1(X0,X47)
& ~ p1(X47) ) ),
inference(flattening,[],[f6]) ).
fof(f6,plain,
? [X0] :
( ( ! [X57] :
( ? [X58] :
( r1(X57,X58)
& p3(X58) )
| ~ r1(X0,X57) )
| ( ? [X59] :
( ~ p2(X59)
& r1(X0,X59) )
& ! [X60] :
( ? [X61] :
( ? [X62] :
( ~ p2(X62)
& r1(X61,X62) )
& r1(X60,X61)
& p2(X61) )
| ~ r1(X0,X60)
| p2(X60) ) ) )
& ? [X51] :
( r1(X0,X51)
& ~ p4(X51) )
& ! [X1] :
( ? [X2] :
( ~ p2(X2)
& ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ p2(X3) )
& r1(X1,X2) )
| ~ r1(X0,X1)
| p2(X1) )
& ( ( ( p2(X0)
| ? [X42] :
( r1(X0,X42)
& ? [X43] :
( r1(X42,X43)
& ~ p2(X43) )
& p2(X42) ) )
& ( ? [X39] :
( ~ p2(X39)
& ! [X40] :
( ! [X41] :
( ~ r1(X40,X41)
| p2(X41) )
| ~ p2(X40)
| ~ r1(X39,X40) )
& r1(X0,X39) )
| ! [X35] :
( ~ r1(X0,X35)
| ! [X36] :
( ? [X37] :
( r1(X36,X37)
& p2(X37)
& ? [X38] :
( ~ p2(X38)
& r1(X37,X38) ) )
| p2(X36)
| ~ r1(X35,X36) ) ) ) )
| ? [X5] :
( ( ( ~ p2(X5)
& ! [X33] :
( ! [X34] :
( ~ r1(X33,X34)
| p2(X34) )
| ~ p2(X33)
| ~ r1(X5,X33) ) )
| ( ! [X30] :
( ~ r1(X5,X30)
| p2(X30)
| ? [X31] :
( r1(X30,X31)
& ? [X32] :
( ~ p2(X32)
& r1(X31,X32) )
& p2(X31) ) )
& ? [X26] :
( ? [X27] :
( ! [X28] :
( ~ p2(X28)
| ~ r1(X27,X28)
| ! [X29] :
( p2(X29)
| ~ r1(X28,X29) ) )
& r1(X26,X27)
& ~ p2(X27) )
& r1(X5,X26) ) ) )
& ! [X6] :
( ! [X7] :
( ~ r1(X6,X7)
| ( ( ? [X15] :
( ? [X16] :
( r1(X15,X16)
& ~ p2(X16) )
& p2(X15)
& r1(X7,X15) )
| p2(X7) )
& ( ! [X8] :
( ! [X9] :
( ? [X10] :
( p2(X10)
& r1(X9,X10)
& ? [X11] :
( r1(X10,X11)
& ~ p2(X11) ) )
| ~ r1(X8,X9)
| p2(X9) )
| ~ r1(X7,X8) )
| ? [X12] :
( r1(X7,X12)
& ~ p2(X12)
& ! [X13] :
( ! [X14] :
( p2(X14)
| ~ r1(X13,X14) )
| ~ r1(X12,X13)
| ~ p2(X13) ) ) ) ) )
| ( ~ p2(X6)
& ! [X17] :
( ! [X18] :
( p2(X18)
| ~ r1(X17,X18) )
| ~ p2(X17)
| ~ r1(X6,X17) ) )
| ( ! [X19] :
( p2(X19)
| ~ r1(X6,X19)
| ? [X20] :
( ? [X21] :
( ~ p2(X21)
& r1(X20,X21) )
& p2(X20)
& r1(X19,X20) ) )
& ? [X22] :
( r1(X6,X22)
& ? [X23] :
( ~ p2(X23)
& ! [X24] :
( ~ p2(X24)
| ~ r1(X23,X24)
| ! [X25] :
( ~ r1(X24,X25)
| p2(X25) ) )
& r1(X22,X23) ) ) )
| ~ r1(X5,X6) )
& r1(X0,X5) ) )
& ! [X48] :
( p4(X48)
| ~ r1(X0,X48)
| ? [X49] :
( p4(X49)
& ? [X50] :
( r1(X49,X50)
& ~ p4(X50) )
& r1(X48,X49) ) )
& ( ! [X52] :
( ~ r1(X0,X52)
| ~ p3(X52) )
| ( ? [X53] :
( ~ p2(X53)
& r1(X0,X53) )
& ! [X54] :
( ? [X55] :
( ? [X56] :
( r1(X55,X56)
& ~ p2(X56) )
& p2(X55)
& r1(X54,X55) )
| ~ r1(X0,X54)
| p2(X54) ) ) )
& ? [X47] :
( r1(X0,X47)
& ~ p1(X47) )
& ! [X44] :
( ? [X45] :
( p1(X45)
& r1(X44,X45)
& ? [X46] :
( ~ p1(X46)
& r1(X45,X46) ) )
| p1(X44)
| ~ r1(X0,X44) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,plain,
? [X0] :
~ ( ( ( ! [X59] :
( p2(X59)
| ~ r1(X0,X59) )
| ~ ! [X60] :
( ~ r1(X0,X60)
| ~ ! [X61] :
( ~ p2(X61)
| ~ r1(X60,X61)
| ! [X62] :
( p2(X62)
| ~ r1(X61,X62) ) )
| p2(X60) ) )
& ~ ! [X57] :
( ~ ! [X58] :
( ~ r1(X57,X58)
| ~ p3(X58) )
| ~ r1(X0,X57) ) )
| ! [X51] :
( ~ r1(X0,X51)
| p4(X51) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X2] :
( ~ ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ p2(X3) )
| p2(X2)
| ~ r1(X1,X2) )
| p2(X1) )
& ( ( ( p2(X0)
| ~ ! [X42] :
( ~ p2(X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X0,X42) ) )
& ( ~ ! [X39] :
( ~ ! [X40] :
( ! [X41] :
( ~ r1(X40,X41)
| p2(X41) )
| ~ p2(X40)
| ~ r1(X39,X40) )
| p2(X39)
| ~ r1(X0,X39) )
| ! [X35] :
( ~ r1(X0,X35)
| ! [X36] :
( ~ ! [X37] :
( ~ r1(X36,X37)
| ~ p2(X37)
| ! [X38] :
( ~ r1(X37,X38)
| p2(X38) ) )
| p2(X36)
| ~ r1(X35,X36) ) ) ) )
| ~ ! [X5] :
( ( ( ~ ! [X30] :
( ~ ! [X31] :
( ~ r1(X30,X31)
| ~ p2(X31)
| ! [X32] :
( p2(X32)
| ~ r1(X31,X32) ) )
| p2(X30)
| ~ r1(X5,X30) )
| ! [X26] :
( ! [X27] :
( p2(X27)
| ~ r1(X26,X27)
| ~ ! [X28] :
( ~ p2(X28)
| ~ r1(X27,X28)
| ! [X29] :
( p2(X29)
| ~ r1(X28,X29) ) ) )
| ~ r1(X5,X26) ) )
& ( ~ ! [X33] :
( ! [X34] :
( ~ r1(X33,X34)
| p2(X34) )
| ~ p2(X33)
| ~ r1(X5,X33) )
| p2(X5) ) )
| ~ ! [X6] :
( ! [X7] :
( ~ r1(X6,X7)
| ( ( p2(X7)
| ~ ! [X15] :
( ~ r1(X7,X15)
| ~ p2(X15)
| ! [X16] :
( ~ r1(X15,X16)
| p2(X16) ) ) )
& ( ! [X8] :
( ! [X9] :
( p2(X9)
| ~ r1(X8,X9)
| ~ ! [X10] :
( ~ r1(X9,X10)
| ~ p2(X10)
| ! [X11] :
( ~ r1(X10,X11)
| p2(X11) ) ) )
| ~ r1(X7,X8) )
| ~ ! [X12] :
( ~ r1(X7,X12)
| p2(X12)
| ~ ! [X13] :
( ! [X14] :
( p2(X14)
| ~ r1(X13,X14) )
| ~ r1(X12,X13)
| ~ p2(X13) ) ) ) ) )
| ~ ( ( p2(X6)
| ~ ! [X17] :
( ! [X18] :
( p2(X18)
| ~ r1(X17,X18) )
| ~ p2(X17)
| ~ r1(X6,X17) ) )
& ( ! [X22] :
( ~ r1(X6,X22)
| ! [X23] :
( p2(X23)
| ~ ! [X24] :
( ~ p2(X24)
| ~ r1(X23,X24)
| ! [X25] :
( ~ r1(X24,X25)
| p2(X25) ) )
| ~ r1(X22,X23) ) )
| ~ ! [X19] :
( ~ ! [X20] :
( ! [X21] :
( p2(X21)
| ~ r1(X20,X21) )
| ~ p2(X20)
| ~ r1(X19,X20) )
| ~ r1(X6,X19)
| p2(X19) ) ) )
| ~ r1(X5,X6) )
| ~ r1(X0,X5) ) ) )
| ~ ! [X48] :
( p4(X48)
| ~ ! [X49] :
( ~ r1(X48,X49)
| ~ p4(X49)
| ! [X50] :
( ~ r1(X49,X50)
| p4(X50) ) )
| ~ r1(X0,X48) )
| ( ( ! [X53] :
( ~ r1(X0,X53)
| p2(X53) )
| ~ ! [X54] :
( p2(X54)
| ~ ! [X55] :
( ~ p2(X55)
| ! [X56] :
( p2(X56)
| ~ r1(X55,X56) )
| ~ r1(X54,X55) )
| ~ r1(X0,X54) ) )
& ~ ! [X52] :
( ~ r1(X0,X52)
| ~ p3(X52) ) )
| ! [X47] :
( ~ r1(X0,X47)
| p1(X47) )
| ~ ! [X44] :
( ~ r1(X0,X44)
| p1(X44)
| ~ ! [X45] :
( ~ p1(X45)
| ! [X46] :
( p1(X46)
| ~ r1(X45,X46) )
| ~ r1(X44,X45) ) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ( ( ! [X59] :
( p2(X59)
| ~ r1(X0,X59) )
| ~ ! [X60] :
( ~ r1(X0,X60)
| ~ ! [X61] :
( ~ p2(X61)
| ~ r1(X60,X61)
| ! [X62] :
( p2(X62)
| ~ r1(X61,X62) ) )
| p2(X60) ) )
& ~ ! [X57] :
( ~ ! [X58] :
( ~ r1(X57,X58)
| ~ p3(X58) )
| ~ r1(X0,X57) ) )
| ! [X51] :
( ~ r1(X0,X51)
| p4(X51) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X2] :
( ~ ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ p2(X3) )
| p2(X2)
| ~ r1(X1,X2) )
| p2(X1) )
& ( ( ( p2(X0)
| ~ ! [X42] :
( ~ p2(X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X0,X42) ) )
& ( ~ ! [X39] :
( ~ ! [X40] :
( ! [X41] :
( ~ r1(X40,X41)
| p2(X41) )
| ~ p2(X40)
| ~ r1(X39,X40) )
| p2(X39)
| ~ r1(X0,X39) )
| ! [X35] :
( ~ r1(X0,X35)
| ! [X36] :
( ~ ! [X37] :
( ~ r1(X36,X37)
| ~ p2(X37)
| ! [X38] :
( ~ r1(X37,X38)
| p2(X38) ) )
| p2(X36)
| ~ r1(X35,X36) ) ) ) )
| ~ ! [X5] :
( ( ( ~ ! [X30] :
( ~ ! [X31] :
( ~ r1(X30,X31)
| ~ p2(X31)
| ! [X32] :
( p2(X32)
| ~ r1(X31,X32) ) )
| p2(X30)
| ~ r1(X5,X30) )
| ! [X26] :
( ! [X27] :
( p2(X27)
| ~ r1(X26,X27)
| ~ ! [X28] :
( ~ p2(X28)
| ~ r1(X27,X28)
| ! [X29] :
( p2(X29)
| ~ r1(X28,X29) ) ) )
| ~ r1(X5,X26) ) )
& ( ~ ! [X33] :
( ! [X34] :
( ~ r1(X33,X34)
| p2(X34) )
| ~ p2(X33)
| ~ r1(X5,X33) )
| p2(X5) ) )
| ~ ! [X6] :
( ! [X7] :
( ~ r1(X6,X7)
| ( ( p2(X7)
| ~ ! [X15] :
( ~ r1(X7,X15)
| ~ p2(X15)
| ! [X16] :
( ~ r1(X15,X16)
| p2(X16) ) ) )
& ( ! [X8] :
( ! [X9] :
( p2(X9)
| ~ r1(X8,X9)
| ~ ! [X10] :
( ~ r1(X9,X10)
| ~ p2(X10)
| ! [X11] :
( ~ r1(X10,X11)
| p2(X11) ) ) )
| ~ r1(X7,X8) )
| ~ ! [X12] :
( ~ r1(X7,X12)
| p2(X12)
| ~ ! [X13] :
( ! [X14] :
( p2(X14)
| ~ r1(X13,X14) )
| ~ r1(X12,X13)
| ~ p2(X13) ) ) ) ) )
| ~ ( ( p2(X6)
| ~ ! [X17] :
( ! [X18] :
( p2(X18)
| ~ r1(X17,X18) )
| ~ p2(X17)
| ~ r1(X6,X17) ) )
& ( ! [X22] :
( ~ r1(X6,X22)
| ! [X23] :
( p2(X23)
| ~ ! [X24] :
( ~ p2(X24)
| ~ r1(X23,X24)
| ! [X25] :
( ~ r1(X24,X25)
| p2(X25) ) )
| ~ r1(X22,X23) ) )
| ~ ! [X19] :
( ~ ! [X20] :
( ! [X21] :
( p2(X21)
| ~ r1(X20,X21) )
| ~ p2(X20)
| ~ r1(X19,X20) )
| ~ r1(X6,X19)
| p2(X19) ) ) )
| ~ r1(X5,X6) )
| ~ r1(X0,X5) ) ) )
| ~ ! [X48] :
( p4(X48)
| ~ ! [X49] :
( ~ r1(X48,X49)
| ~ p4(X49)
| ! [X50] :
( ~ r1(X49,X50)
| p4(X50) ) )
| ~ r1(X0,X48) )
| ( ( ! [X53] :
( ~ r1(X0,X53)
| p2(X53) )
| ~ ! [X54] :
( p2(X54)
| ~ ! [X55] :
( ~ p2(X55)
| ! [X56] :
( p2(X56)
| ~ r1(X55,X56) )
| ~ r1(X54,X55) )
| ~ r1(X0,X54) ) )
& ~ ! [X52] :
( ~ r1(X0,X52)
| ~ p3(X52) ) )
| ! [X47] :
( ~ r1(X0,X47)
| p1(X47) )
| ~ ! [X44] :
( ~ r1(X0,X44)
| p1(X44)
| ~ ! [X45] :
( ~ p1(X45)
| ! [X46] :
( p1(X46)
| ~ r1(X45,X46) )
| ~ r1(X44,X45) ) ) ),
inference(rectify,[],[f3]) ).
fof(f3,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ( ! [X1] :
( p2(X1)
| ~ r1(X0,X1)
| ~ ! [X0] :
( p2(X0)
| ~ ! [X1] :
( ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
& ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ! [X1] :
( ( ( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ p2(X0) )
| ~ r1(X0,X1)
| p2(X1) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ p2(X1) ) ) )
& ( p2(X1)
| ~ ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0)
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| ~ ( ( ~ ! [X1] :
( ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ p2(X1)
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1)
| ~ ! [X0] :
( ~ p2(X0)
| ~ r1(X1,X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) ) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| p2(X0) )
| ~ r1(X0,X1) ) ) ) )
| ( ( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( p2(X1)
| ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X0] :
( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) ) )
| ~ r1(X1,X0)
| p2(X0) ) )
& ( p2(X1)
| ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) ) )
| ( ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) ) ) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1)
| p2(X1) ) )
& ( ~ ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ r1(X0,X1)
| ~ p2(X1) )
| p2(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| p1(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ ! [X1] :
( ~ ! [X0] :
( ! [X1] :
( p4(X1)
| ~ r1(X0,X1) )
| ~ p4(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1)
| p4(X1) )
| ! [X1] :
( p4(X1)
| ~ r1(X0,X1) )
| ( ~ ! [X1] :
( ~ p3(X1)
| ~ r1(X0,X1) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ p2(X0) )
| ~ r1(X0,X1)
| p2(X1) ) ) )
| ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p3(X0) ) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) ) ) ),
inference(negated_conjecture,[],[f2]) ).
fof(f2,conjecture,
~ ? [X0] :
~ ( ~ ( ! [X1] :
( p2(X1)
| ~ r1(X0,X1)
| ~ ! [X0] :
( p2(X0)
| ~ ! [X1] :
( ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
& ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ! [X1] :
( ( ( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ p2(X0) )
| ~ r1(X0,X1)
| p2(X1) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ p2(X1) ) ) )
& ( p2(X1)
| ~ ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0)
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| ~ ( ( ~ ! [X1] :
( ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ p2(X1)
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1)
| ~ ! [X0] :
( ~ p2(X0)
| ~ r1(X1,X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) ) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| p2(X0) )
| ~ r1(X0,X1) ) ) ) )
| ( ( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( p2(X1)
| ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X0] :
( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) ) )
| ~ r1(X1,X0)
| p2(X0) ) )
& ( p2(X1)
| ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) ) )
| ( ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) ) ) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1)
| p2(X1) ) )
& ( ~ ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ r1(X0,X1)
| ~ p2(X1) )
| p2(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| p1(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ ! [X1] :
( ~ ! [X0] :
( ! [X1] :
( p4(X1)
| ~ r1(X0,X1) )
| ~ p4(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1)
| p4(X1) )
| ! [X1] :
( p4(X1)
| ~ r1(X0,X1) )
| ( ~ ! [X1] :
( ~ p3(X1)
| ~ r1(X0,X1) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ p2(X0) )
| ~ r1(X0,X1)
| p2(X1) ) ) )
| ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p3(X0) ) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f2041,plain,
! [X2,X3,X0,X1] :
( ~ r1(X3,sK31(X2))
| ~ r1(X0,X3)
| ~ sP5(X0)
| ~ sP5(X1)
| ~ r1(X1,X2)
| p2(X2)
| ~ r1(sK28,X2) ),
inference(duplicate_literal_removal,[],[f2039]) ).
fof(f2039,plain,
! [X2,X3,X0,X1] :
( ~ r1(X1,X2)
| ~ r1(X3,sK31(X2))
| p2(X2)
| ~ r1(sK28,X2)
| ~ r1(sK28,X2)
| p2(X2)
| ~ sP5(X1)
| ~ sP5(X0)
| ~ r1(X0,X3) ),
inference(resolution,[],[f1440,f136]) ).
fof(f1440,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1(X4,sK31(X2))
| ~ sP5(X0)
| ~ r1(X3,X4)
| ~ r1(X0,X1)
| ~ r1(sK28,X2)
| ~ sP5(X3)
| p2(X2)
| ~ r1(X1,sK31(X2)) ),
inference(subsumption_resolution,[],[f1439,f138]) ).
fof(f138,plain,
! [X8] :
( ~ p2(sK31(X8))
| ~ r1(sK28,X8)
| p2(X8) ),
inference(cnf_transformation,[],[f72]) ).
fof(f1439,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1(X0,X1)
| ~ sP5(X3)
| ~ sP5(X0)
| ~ r1(X3,X4)
| ~ r1(X1,sK31(X2))
| ~ r1(sK28,X2)
| ~ r1(X4,sK31(X2))
| p2(sK31(X2))
| p2(X2) ),
inference(subsumption_resolution,[],[f1418,f82]) ).
fof(f82,plain,
! [X2,X0,X1] :
( ~ p2(sK11(X2))
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| p2(X2)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ( r1(X2,sK10(X2))
& p2(sK10(X2))
& ~ p2(sK11(X2))
& r1(sK10(X2),sK11(X2)) )
| p2(X2)
| ~ r1(X1,X2) ) )
| ~ sP5(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f23,f25,f24]) ).
fof(f24,plain,
! [X2] :
( ? [X3] :
( r1(X2,X3)
& p2(X3)
& ? [X4] :
( ~ p2(X4)
& r1(X3,X4) ) )
=> ( r1(X2,sK10(X2))
& p2(sK10(X2))
& ? [X4] :
( ~ p2(X4)
& r1(sK10(X2),X4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
! [X2] :
( ? [X4] :
( ~ p2(X4)
& r1(sK10(X2),X4) )
=> ( ~ p2(sK11(X2))
& r1(sK10(X2),sK11(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ? [X3] :
( r1(X2,X3)
& p2(X3)
& ? [X4] :
( ~ p2(X4)
& r1(X3,X4) ) )
| p2(X2)
| ~ r1(X1,X2) ) )
| ~ sP5(X0) ),
inference(rectify,[],[f22]) ).
fof(f22,plain,
! [X0] :
( ! [X35] :
( ~ r1(X0,X35)
| ! [X36] :
( ? [X37] :
( r1(X36,X37)
& p2(X37)
& ? [X38] :
( ~ p2(X38)
& r1(X37,X38) ) )
| p2(X36)
| ~ r1(X35,X36) ) )
| ~ sP5(X0) ),
inference(nnf_transformation,[],[f13]) ).
fof(f1418,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1(sK28,X2)
| p2(sK11(sK31(X2)))
| ~ r1(X3,X4)
| ~ r1(X4,sK31(X2))
| ~ r1(X0,X1)
| ~ r1(X1,sK31(X2))
| ~ sP5(X3)
| p2(sK31(X2))
| p2(X2)
| ~ sP5(X0) ),
inference(resolution,[],[f608,f81]) ).
fof(f81,plain,
! [X2,X0,X1] :
( r1(sK10(X2),sK11(X2))
| ~ sP5(X0)
| p2(X2)
| ~ r1(X0,X1)
| ~ r1(X1,X2) ),
inference(cnf_transformation,[],[f26]) ).
fof(f608,plain,
! [X8,X6,X9,X7] :
( ~ r1(sK10(sK31(X6)),X7)
| ~ r1(X8,X9)
| p2(X6)
| p2(X7)
| ~ r1(X9,sK31(X6))
| ~ r1(sK28,X6)
| ~ sP5(X8) ),
inference(subsumption_resolution,[],[f607,f138]) ).
fof(f607,plain,
! [X8,X6,X9,X7] :
( p2(X7)
| p2(X6)
| ~ r1(sK10(sK31(X6)),X7)
| ~ r1(X8,X9)
| p2(sK31(X6))
| ~ r1(sK28,X6)
| ~ sP5(X8)
| ~ r1(X9,sK31(X6)) ),
inference(subsumption_resolution,[],[f587,f83]) ).
fof(f83,plain,
! [X2,X0,X1] :
( p2(sK10(X2))
| p2(X2)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f587,plain,
! [X8,X6,X9,X7] :
( p2(X7)
| ~ r1(sK10(sK31(X6)),X7)
| ~ sP5(X8)
| ~ p2(sK10(sK31(X6)))
| ~ r1(X9,sK31(X6))
| ~ r1(sK28,X6)
| p2(X6)
| p2(sK31(X6))
| ~ r1(X8,X9) ),
inference(resolution,[],[f137,f84]) ).
fof(f84,plain,
! [X2,X0,X1] :
( r1(X2,sK10(X2))
| p2(X2)
| ~ r1(X0,X1)
| ~ sP5(X0)
| ~ r1(X1,X2) ),
inference(cnf_transformation,[],[f26]) ).
fof(f137,plain,
! [X10,X11,X8] :
( ~ r1(sK31(X8),X10)
| ~ r1(X10,X11)
| ~ p2(X10)
| p2(X8)
| ~ r1(sK28,X8)
| p2(X11) ),
inference(cnf_transformation,[],[f72]) ).
fof(f3195,plain,
( ~ spl41_1
| ~ spl41_8
| ~ spl41_239 ),
inference(avatar_contradiction_clause,[],[f3194]) ).
fof(f3194,plain,
( $false
| ~ spl41_1
| ~ spl41_8
| ~ spl41_239 ),
inference(subsumption_resolution,[],[f3193,f149]) ).
fof(f149,plain,
( sP0(sK28)
| ~ spl41_1 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f147,plain,
( spl41_1
<=> sP0(sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_1])]) ).
fof(f3193,plain,
( ~ sP0(sK28)
| ~ spl41_8
| ~ spl41_239 ),
inference(resolution,[],[f3063,f177]) ).
fof(f3063,plain,
( ! [X34] :
( ~ r1(X34,sK29)
| ~ sP0(X34) )
| ~ spl41_239 ),
inference(avatar_component_clause,[],[f3062]) ).
fof(f3184,plain,
( spl41_239
| spl41_9
| spl41_254 ),
inference(avatar_split_clause,[],[f3183,f3160,f180,f3062]) ).
fof(f3160,plain,
( spl41_254
<=> p2(sK26(sK29)) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_254])]) ).
fof(f3183,plain,
( ! [X0] :
( ~ sP0(X0)
| ~ r1(X0,sK29) )
| spl41_9
| spl41_254 ),
inference(subsumption_resolution,[],[f3182,f182]) ).
fof(f3182,plain,
( ! [X0] :
( p2(sK29)
| ~ r1(X0,sK29)
| ~ sP0(X0) )
| spl41_254 ),
inference(resolution,[],[f3162,f112]) ).
fof(f112,plain,
! [X2,X0] :
( p2(sK26(X2))
| ~ r1(X0,X2)
| p2(X2)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f3162,plain,
( ~ p2(sK26(sK29))
| spl41_254 ),
inference(avatar_component_clause,[],[f3160]) ).
fof(f3163,plain,
( spl41_253
| spl41_239
| ~ spl41_254
| spl41_9
| ~ spl41_17 ),
inference(avatar_split_clause,[],[f3155,f214,f180,f3160,f3062,f3157]) ).
fof(f3155,plain,
( ! [X21,X20] :
( ~ p2(sK26(sK29))
| ~ r1(X21,sK29)
| ~ sP0(X21)
| ~ r1(sK26(sK29),X20)
| p2(X20) )
| spl41_9
| ~ spl41_17 ),
inference(subsumption_resolution,[],[f3112,f182]) ).
fof(f3112,plain,
( ! [X21,X20] :
( ~ r1(sK26(sK29),X20)
| p2(sK29)
| ~ r1(X21,sK29)
| ~ sP0(X21)
| ~ p2(sK26(sK29))
| p2(X20) )
| ~ spl41_17 ),
inference(resolution,[],[f215,f113]) ).
fof(f113,plain,
! [X2,X0] :
( r1(X2,sK26(X2))
| p2(X2)
| ~ r1(X0,X2)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f3088,plain,
( ~ spl41_24
| ~ spl41_1
| ~ spl41_76 ),
inference(avatar_split_clause,[],[f3087,f2080,f147,f258]) ).
fof(f2080,plain,
( spl41_76
<=> ! [X34] :
( ~ sP5(X34)
| ~ r1(X34,sK25(sK28)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_76])]) ).
fof(f3087,plain,
( ~ sP5(sK28)
| ~ spl41_1
| ~ spl41_76 ),
inference(subsumption_resolution,[],[f2164,f149]) ).
fof(f2164,plain,
( ~ sP0(sK28)
| ~ sP5(sK28)
| ~ spl41_76 ),
inference(resolution,[],[f2081,f116]) ).
fof(f116,plain,
! [X0] :
( r1(X0,sK25(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f2081,plain,
( ! [X34] :
( ~ r1(X34,sK25(sK28))
| ~ sP5(X34) )
| ~ spl41_76 ),
inference(avatar_component_clause,[],[f2080]) ).
fof(f3052,plain,
( ~ spl41_10
| spl41_9
| ~ spl41_8 ),
inference(avatar_split_clause,[],[f2143,f175,f180,f184]) ).
fof(f2143,plain,
( p2(sK29)
| ~ sP1(sK29)
| ~ spl41_8 ),
inference(resolution,[],[f177,f1808]) ).
fof(f1808,plain,
! [X0] :
( ~ r1(sK28,X0)
| p2(X0)
| ~ sP1(X0) ),
inference(duplicate_literal_removal,[],[f1806]) ).
fof(f1806,plain,
! [X0] :
( ~ sP1(X0)
| ~ sP1(X0)
| p2(X0)
| ~ r1(sK28,X0)
| ~ r1(sK28,X0)
| p2(X0) ),
inference(resolution,[],[f1805,f136]) ).
fof(f1805,plain,
! [X0,X1] :
( ~ r1(X0,sK31(X1))
| ~ sP1(X1)
| ~ r1(sK28,X1)
| ~ sP1(X0)
| p2(X1) ),
inference(duplicate_literal_removal,[],[f1803]) ).
fof(f1803,plain,
! [X0,X1] :
( ~ sP1(X0)
| ~ sP1(X1)
| p2(X1)
| ~ r1(sK28,X1)
| p2(X1)
| ~ r1(sK28,X1)
| ~ r1(X0,sK31(X1)) ),
inference(resolution,[],[f1802,f136]) ).
fof(f1802,plain,
! [X2,X0,X1] :
( ~ r1(X2,sK31(X0))
| ~ sP1(X1)
| p2(X0)
| ~ r1(X1,sK31(X0))
| ~ r1(sK28,X0)
| ~ sP1(X2) ),
inference(subsumption_resolution,[],[f1801,f138]) ).
fof(f1801,plain,
! [X2,X0,X1] :
( ~ sP1(X1)
| ~ r1(sK28,X0)
| p2(X0)
| ~ sP1(X2)
| p2(sK31(X0))
| ~ r1(X2,sK31(X0))
| ~ r1(X1,sK31(X0)) ),
inference(subsumption_resolution,[],[f1800,f108]) ).
fof(f108,plain,
! [X0,X1] :
( p2(sK21(X1))
| ~ r1(X0,X1)
| p2(X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1800,plain,
! [X2,X0,X1] :
( ~ sP1(X1)
| ~ r1(sK28,X0)
| ~ r1(X2,sK31(X0))
| ~ p2(sK21(sK31(X0)))
| ~ sP1(X2)
| ~ r1(X1,sK31(X0))
| p2(X0)
| p2(sK31(X0)) ),
inference(subsumption_resolution,[],[f1780,f110]) ).
fof(f110,plain,
! [X0,X1] :
( ~ p2(sK22(X1))
| ~ r1(X0,X1)
| p2(X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1780,plain,
! [X2,X0,X1] :
( ~ sP1(X1)
| p2(sK22(sK31(X0)))
| ~ r1(X2,sK31(X0))
| p2(X0)
| ~ p2(sK21(sK31(X0)))
| p2(sK31(X0))
| ~ r1(X1,sK31(X0))
| ~ sP1(X2)
| ~ r1(sK28,X0) ),
inference(resolution,[],[f600,f109]) ).
fof(f109,plain,
! [X0,X1] :
( r1(sK21(X1),sK22(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f600,plain,
! [X26,X27,X25] :
( ~ r1(sK21(sK31(X25)),X26)
| ~ p2(sK21(sK31(X25)))
| p2(X25)
| p2(X26)
| ~ r1(X27,sK31(X25))
| ~ r1(sK28,X25)
| ~ sP1(X27) ),
inference(subsumption_resolution,[],[f593,f138]) ).
fof(f593,plain,
! [X26,X27,X25] :
( ~ r1(X27,sK31(X25))
| p2(X25)
| p2(X26)
| p2(sK31(X25))
| ~ r1(sK28,X25)
| ~ sP1(X27)
| ~ p2(sK21(sK31(X25)))
| ~ r1(sK21(sK31(X25)),X26) ),
inference(resolution,[],[f137,f111]) ).
fof(f111,plain,
! [X0,X1] :
( r1(X1,sK21(X1))
| p2(X1)
| ~ sP1(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f2939,plain,
( spl41_194
| spl41_85
| spl41_193
| ~ spl41_106 ),
inference(avatar_split_clause,[],[f2938,f2324,f2800,f2190,f2803]) ).
fof(f2938,plain,
( ! [X8,X7] :
( ~ sP4(X8)
| p2(sK23(sK29))
| ~ r1(X8,sK23(sK29))
| p2(X7)
| ~ r1(sK12(sK23(sK29)),X7) )
| ~ spl41_106 ),
inference(subsumption_resolution,[],[f2729,f89]) ).
fof(f2729,plain,
( ! [X8,X7] :
( ~ r1(X8,sK23(sK29))
| p2(X7)
| p2(sK23(sK29))
| ~ r1(sK12(sK23(sK29)),X7)
| ~ p2(sK12(sK23(sK29)))
| ~ sP4(X8) )
| ~ spl41_106 ),
inference(resolution,[],[f2325,f88]) ).
fof(f2325,plain,
( ! [X28,X29] :
( ~ r1(sK23(sK29),X28)
| p2(X29)
| ~ r1(X28,X29)
| ~ p2(X28) )
| ~ spl41_106 ),
inference(avatar_component_clause,[],[f2324]) ).
fof(f2506,plain,
( spl41_116
| spl41_92
| spl41_115
| ~ spl41_103 ),
inference(avatar_split_clause,[],[f2505,f2309,f2385,f2223,f2388]) ).
fof(f2505,plain,
( ! [X11,X12] :
( ~ r1(X12,sK17(sK29))
| p2(sK17(sK29))
| ~ sP3(X12)
| p2(X11)
| ~ r1(sK15(sK17(sK29)),X11) )
| ~ spl41_103 ),
inference(subsumption_resolution,[],[f2349,f97]) ).
fof(f2349,plain,
( ! [X11,X12] :
( p2(X11)
| ~ r1(X12,sK17(sK29))
| ~ sP3(X12)
| p2(sK17(sK29))
| ~ p2(sK15(sK17(sK29)))
| ~ r1(sK15(sK17(sK29)),X11) )
| ~ spl41_103 ),
inference(resolution,[],[f2310,f96]) ).
fof(f2310,plain,
( ! [X19,X20] :
( ~ r1(sK17(sK29),X19)
| p2(X20)
| ~ p2(X19)
| ~ r1(X19,X20) )
| ~ spl41_103 ),
inference(avatar_component_clause,[],[f2309]) ).
fof(f2341,plain,
( ~ spl41_83
| ~ spl41_101 ),
inference(avatar_contradiction_clause,[],[f2340]) ).
fof(f2340,plain,
( $false
| ~ spl41_83
| ~ spl41_101 ),
inference(subsumption_resolution,[],[f2327,f2160]) ).
fof(f2327,plain,
( ~ sP3(sK29)
| ~ spl41_101 ),
inference(resolution,[],[f2303,f1145]) ).
fof(f1145,plain,
! [X1] :
( ~ sP4(sK17(X1))
| ~ sP3(X1) ),
inference(duplicate_literal_removal,[],[f1144]) ).
fof(f1144,plain,
! [X1] :
( ~ sP4(sK17(X1))
| ~ sP3(X1)
| ~ sP3(X1)
| ~ sP4(sK17(X1)) ),
inference(resolution,[],[f1138,f92]) ).
fof(f1138,plain,
! [X2,X3] :
( ~ r1(X2,sK18(X3))
| ~ sP4(X2)
| ~ sP4(sK17(X3))
| ~ sP3(X3) ),
inference(duplicate_literal_removal,[],[f1137]) ).
fof(f1137,plain,
! [X2,X3] :
( ~ r1(X2,sK18(X3))
| ~ sP4(X2)
| ~ sP3(X3)
| ~ sP3(X3)
| ~ sP4(sK17(X3)) ),
inference(resolution,[],[f1110,f92]) ).
fof(f1110,plain,
! [X2,X0,X1] :
( ~ r1(X2,sK18(X0))
| ~ r1(X1,sK18(X0))
| ~ sP4(X1)
| ~ sP3(X0)
| ~ sP4(X2) ),
inference(subsumption_resolution,[],[f1109,f94]) ).
fof(f1109,plain,
! [X2,X0,X1] :
( ~ r1(X2,sK18(X0))
| p2(sK18(X0))
| ~ sP3(X0)
| ~ sP4(X1)
| ~ r1(X1,sK18(X0))
| ~ sP4(X2) ),
inference(subsumption_resolution,[],[f1108,f90]) ).
fof(f1108,plain,
! [X2,X0,X1] :
( ~ sP4(X2)
| p2(sK13(sK18(X0)))
| ~ sP3(X0)
| ~ r1(X2,sK18(X0))
| p2(sK18(X0))
| ~ r1(X1,sK18(X0))
| ~ sP4(X1) ),
inference(subsumption_resolution,[],[f1090,f89]) ).
fof(f1090,plain,
! [X2,X0,X1] :
( ~ sP3(X0)
| ~ p2(sK12(sK18(X0)))
| p2(sK18(X0))
| ~ r1(X2,sK18(X0))
| ~ sP4(X1)
| ~ r1(X1,sK18(X0))
| ~ sP4(X2)
| p2(sK13(sK18(X0))) ),
inference(resolution,[],[f366,f91]) ).
fof(f366,plain,
! [X8,X6,X7] :
( ~ r1(sK12(sK18(X6)),X7)
| ~ p2(sK12(sK18(X6)))
| ~ sP4(X8)
| ~ sP3(X6)
| ~ r1(X8,sK18(X6))
| p2(X7) ),
inference(subsumption_resolution,[],[f351,f94]) ).
fof(f351,plain,
! [X8,X6,X7] :
( p2(sK18(X6))
| ~ p2(sK12(sK18(X6)))
| p2(X7)
| ~ sP4(X8)
| ~ r1(X8,sK18(X6))
| ~ sP3(X6)
| ~ r1(sK12(sK18(X6)),X7) ),
inference(resolution,[],[f93,f88]) ).
fof(f2303,plain,
( sP4(sK17(sK29))
| ~ spl41_101 ),
inference(avatar_component_clause,[],[f2301]) ).
fof(f2226,plain,
( ~ spl41_92
| ~ spl41_83
| ~ spl41_11 ),
inference(avatar_split_clause,[],[f2221,f189,f2159,f2223]) ).
fof(f2221,plain,
( ~ sP3(sK29)
| ~ p2(sK17(sK29))
| ~ spl41_11 ),
inference(subsumption_resolution,[],[f2220,f1145]) ).
fof(f2220,plain,
( ~ p2(sK17(sK29))
| sP4(sK17(sK29))
| ~ sP3(sK29)
| ~ spl41_11 ),
inference(subsumption_resolution,[],[f2173,f527]) ).
fof(f2173,plain,
( ~ sP3(sK29)
| sP3(sK17(sK29))
| sP4(sK17(sK29))
| ~ p2(sK17(sK29))
| ~ spl41_11 ),
inference(resolution,[],[f190,f95]) ).
fof(f2105,plain,
( ~ spl41_1
| ~ spl41_60 ),
inference(avatar_contradiction_clause,[],[f2104]) ).
fof(f2104,plain,
( $false
| ~ spl41_1
| ~ spl41_60 ),
inference(subsumption_resolution,[],[f2103,f149]) ).
fof(f2103,plain,
( ~ sP0(sK28)
| ~ spl41_60 ),
inference(resolution,[],[f884,f117]) ).
fof(f117,plain,
! [X0] :
( ~ p2(sK25(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f884,plain,
( p2(sK25(sK28))
| ~ spl41_60 ),
inference(avatar_component_clause,[],[f882]) ).
fof(f882,plain,
( spl41_60
<=> p2(sK25(sK28)) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_60])]) ).
fof(f2082,plain,
( spl41_60
| spl41_76
| spl41_76
| ~ spl41_1 ),
inference(avatar_split_clause,[],[f2078,f147,f2080,f2080,f882]) ).
fof(f2078,plain,
( ! [X34,X35] :
( ~ sP5(X35)
| ~ r1(X35,sK25(sK28))
| ~ sP5(X34)
| ~ r1(X34,sK25(sK28))
| p2(sK25(sK28)) )
| ~ spl41_1 ),
inference(subsumption_resolution,[],[f2058,f149]) ).
fof(f2058,plain,
! [X34,X35] :
( ~ r1(X35,sK25(sK28))
| p2(sK25(sK28))
| ~ sP0(sK28)
| ~ sP5(X35)
| ~ sP5(X34)
| ~ r1(X34,sK25(sK28)) ),
inference(resolution,[],[f2044,f116]) ).
fof(f1978,plain,
( spl41_24
| ~ spl41_1
| ~ spl41_3 ),
inference(avatar_split_clause,[],[f1977,f155,f147,f258]) ).
fof(f1977,plain,
( sP5(sK28)
| ~ spl41_1
| ~ spl41_3 ),
inference(subsumption_resolution,[],[f1976,f149]) ).
fof(f1976,plain,
( ~ sP0(sK28)
| sP5(sK28)
| ~ spl41_3 ),
inference(resolution,[],[f1975,f157]) ).
fof(f157,plain,
( sP6(sK28)
| ~ spl41_3 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f1975,plain,
! [X0] :
( ~ sP6(X0)
| ~ sP0(X0)
| sP5(X0) ),
inference(duplicate_literal_removal,[],[f1973]) ).
fof(f1973,plain,
! [X0] :
( ~ sP6(X0)
| ~ sP6(X0)
| ~ sP0(X0)
| sP5(X0)
| ~ sP0(X0)
| sP5(X0) ),
inference(resolution,[],[f1972,f74]) ).
fof(f1972,plain,
! [X0,X1] :
( ~ r1(X0,sK9(X1))
| ~ sP6(X1)
| sP5(X1)
| ~ sP0(X0)
| ~ sP0(X1) ),
inference(duplicate_literal_removal,[],[f1970]) ).
fof(f1970,plain,
! [X0,X1] :
( ~ r1(X0,sK9(X1))
| sP5(X1)
| sP5(X1)
| ~ sP0(X0)
| ~ sP6(X1)
| ~ sP6(X1)
| ~ sP0(X1)
| ~ sP0(X1) ),
inference(resolution,[],[f1969,f74]) ).
fof(f1969,plain,
! [X2,X0,X1] :
( ~ r1(X2,sK9(X0))
| ~ sP0(X1)
| ~ r1(X1,sK9(X0))
| ~ sP0(X2)
| sP5(X0)
| ~ sP0(X0)
| ~ sP6(X0) ),
inference(duplicate_literal_removal,[],[f1967]) ).
fof(f1967,plain,
! [X2,X0,X1] :
( ~ r1(X2,sK9(X0))
| sP5(X0)
| ~ sP6(X0)
| ~ r1(X1,sK9(X0))
| ~ sP6(X0)
| ~ sP0(X0)
| ~ sP0(X2)
| sP5(X0)
| ~ sP0(X1) ),
inference(resolution,[],[f1463,f74]) ).
fof(f1463,plain,
! [X2,X3,X0,X1] :
( ~ r1(X3,sK9(X1))
| ~ sP6(X1)
| ~ sP0(X2)
| ~ sP0(X0)
| ~ r1(X0,sK9(X1))
| ~ r1(X2,sK9(X1))
| ~ sP0(X3)
| sP5(X1) ),
inference(subsumption_resolution,[],[f1462,f76]) ).
fof(f1462,plain,
! [X2,X3,X0,X1] :
( ~ sP0(X0)
| ~ sP0(X2)
| ~ sP6(X1)
| ~ r1(X3,sK9(X1))
| sP5(X1)
| ~ sP0(X3)
| p2(sK9(X1))
| ~ r1(X0,sK9(X1))
| ~ r1(X2,sK9(X1)) ),
inference(resolution,[],[f710,f115]) ).
fof(f710,plain,
! [X2,X0,X1] :
( p2(sK27(sK9(X0)))
| ~ r1(X1,sK9(X0))
| ~ r1(X2,sK9(X0))
| sP5(X0)
| ~ sP0(X1)
| ~ sP0(X2)
| ~ sP6(X0) ),
inference(subsumption_resolution,[],[f689,f76]) ).
fof(f689,plain,
! [X2,X0,X1] :
( ~ r1(X2,sK9(X0))
| sP5(X0)
| ~ r1(X1,sK9(X0))
| p2(sK9(X0))
| ~ sP6(X0)
| ~ sP0(X2)
| p2(sK27(sK9(X0)))
| ~ sP0(X1) ),
inference(resolution,[],[f465,f114]) ).
fof(f465,plain,
! [X34,X32,X33] :
( ~ r1(sK26(sK9(X32)),X33)
| p2(X33)
| ~ sP6(X32)
| ~ r1(X34,sK9(X32))
| sP5(X32)
| ~ sP0(X34) ),
inference(subsumption_resolution,[],[f464,f76]) ).
fof(f464,plain,
! [X34,X32,X33] :
( p2(sK9(X32))
| sP5(X32)
| ~ sP6(X32)
| ~ r1(sK26(sK9(X32)),X33)
| p2(X33)
| ~ r1(X34,sK9(X32))
| ~ sP0(X34) ),
inference(subsumption_resolution,[],[f458,f112]) ).
fof(f458,plain,
! [X34,X32,X33] :
( p2(X33)
| ~ r1(sK26(sK9(X32)),X33)
| ~ p2(sK26(sK9(X32)))
| sP5(X32)
| p2(sK9(X32))
| ~ r1(X34,sK9(X32))
| ~ sP6(X32)
| ~ sP0(X34) ),
inference(resolution,[],[f75,f113]) ).
fof(f250,plain,
( ~ spl41_2
| ~ spl41_5
| ~ spl41_14 ),
inference(avatar_contradiction_clause,[],[f249]) ).
fof(f249,plain,
( $false
| ~ spl41_2
| ~ spl41_5
| ~ spl41_14 ),
inference(subsumption_resolution,[],[f248,f73]) ).
fof(f248,plain,
( ~ r1(sK28,sK28)
| ~ spl41_2
| ~ spl41_5
| ~ spl41_14 ),
inference(resolution,[],[f247,f202]) ).
fof(f202,plain,
( ! [X12] :
( p3(sK32(X12))
| ~ r1(sK28,X12) )
| ~ spl41_14 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f201,plain,
( spl41_14
<=> ! [X12] :
( p3(sK32(X12))
| ~ r1(sK28,X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_14])]) ).
fof(f247,plain,
( ~ p3(sK32(sK28))
| ~ spl41_2
| ~ spl41_5 ),
inference(subsumption_resolution,[],[f246,f73]) ).
fof(f246,plain,
( ~ r1(sK28,sK28)
| ~ p3(sK32(sK28))
| ~ spl41_2
| ~ spl41_5 ),
inference(resolution,[],[f152,f164]) ).
fof(f164,plain,
( ! [X20] :
( ~ r1(sK28,X20)
| ~ p3(X20) )
| ~ spl41_5 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f163,plain,
( spl41_5
<=> ! [X20] :
( ~ p3(X20)
| ~ r1(sK28,X20) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_5])]) ).
fof(f152,plain,
( ! [X12] :
( r1(X12,sK32(X12))
| ~ r1(sK28,X12) )
| ~ spl41_2 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f151,plain,
( spl41_2
<=> ! [X12] :
( r1(X12,sK32(X12))
| ~ r1(sK28,X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_2])]) ).
fof(f216,plain,
( spl41_10
| spl41_17
| spl41_3 ),
inference(avatar_split_clause,[],[f142,f155,f214,f184]) ).
fof(f142,plain,
! [X6,X5] :
( sP6(sK28)
| ~ r1(X5,X6)
| ~ p2(X5)
| ~ r1(sK29,X5)
| sP1(sK29)
| p2(X6) ),
inference(cnf_transformation,[],[f72]) ).
fof(f212,plain,
( spl41_16
| spl41_5 ),
inference(avatar_split_clause,[],[f122,f163,f210]) ).
fof(f122,plain,
! [X22,X20] :
( ~ r1(sK28,X20)
| ~ p3(X20)
| ~ p2(sK39(X22))
| p2(X22)
| ~ r1(sK28,X22) ),
inference(cnf_transformation,[],[f72]) ).
fof(f208,plain,
( ~ spl41_15
| spl41_5 ),
inference(avatar_split_clause,[],[f125,f163,f205]) ).
fof(f125,plain,
! [X20] :
( ~ r1(sK28,X20)
| ~ p2(sK37)
| ~ p3(X20) ),
inference(cnf_transformation,[],[f72]) ).
fof(f203,plain,
( spl41_1
| spl41_14 ),
inference(avatar_split_clause,[],[f134,f201,f147]) ).
fof(f134,plain,
! [X12] :
( p3(sK32(X12))
| sP0(sK28)
| ~ r1(sK28,X12) ),
inference(cnf_transformation,[],[f72]) ).
fof(f199,plain,
( spl41_5
| spl41_13 ),
inference(avatar_split_clause,[],[f120,f197,f163]) ).
fof(f120,plain,
! [X22,X20] :
( ~ r1(sK28,X22)
| ~ r1(sK28,X20)
| r1(X22,sK38(X22))
| ~ p3(X20)
| p2(X22) ),
inference(cnf_transformation,[],[f72]) ).
fof(f195,plain,
( spl41_5
| spl41_12 ),
inference(avatar_split_clause,[],[f121,f193,f163]) ).
fof(f121,plain,
! [X22,X20] :
( ~ r1(sK28,X22)
| p2(sK38(X22))
| p2(X22)
| ~ r1(sK28,X20)
| ~ p3(X20) ),
inference(cnf_transformation,[],[f72]) ).
fof(f191,plain,
( spl41_3
| spl41_11 ),
inference(avatar_split_clause,[],[f145,f189,f155]) ).
fof(f145,plain,
! [X2] :
( ~ r1(sK29,X2)
| sP6(sK28)
| sP4(X2)
| sP3(X2)
| ~ p2(X2) ),
inference(cnf_transformation,[],[f72]) ).
fof(f187,plain,
( spl41_3
| ~ spl41_9
| spl41_10 ),
inference(avatar_split_clause,[],[f143,f184,f180,f155]) ).
fof(f143,plain,
( sP1(sK29)
| ~ p2(sK29)
| sP6(sK28) ),
inference(cnf_transformation,[],[f72]) ).
fof(f178,plain,
( spl41_8
| spl41_3 ),
inference(avatar_split_clause,[],[f141,f155,f175]) ).
fof(f141,plain,
( sP6(sK28)
| r1(sK28,sK29) ),
inference(cnf_transformation,[],[f72]) ).
fof(f173,plain,
( spl41_5
| spl41_7 ),
inference(avatar_split_clause,[],[f124,f170,f163]) ).
fof(f124,plain,
! [X20] :
( r1(sK28,sK37)
| ~ p3(X20)
| ~ r1(sK28,X20) ),
inference(cnf_transformation,[],[f72]) ).
fof(f168,plain,
( spl41_5
| spl41_6 ),
inference(avatar_split_clause,[],[f123,f166,f163]) ).
fof(f123,plain,
! [X22,X20] :
( p2(X22)
| r1(sK38(X22),sK39(X22))
| ~ r1(sK28,X22)
| ~ p3(X20)
| ~ r1(sK28,X20) ),
inference(cnf_transformation,[],[f72]) ).
fof(f161,plain,
( spl41_3
| spl41_4 ),
inference(avatar_split_clause,[],[f144,f159,f155]) ).
fof(f144,plain,
! [X2,X3,X4] :
( p2(X4)
| ~ p2(X3)
| ~ r1(X3,X4)
| ~ r1(sK29,X2)
| ~ r1(X2,X3)
| sP3(X2)
| sP6(sK28)
| sP4(X2) ),
inference(cnf_transformation,[],[f72]) ).
fof(f153,plain,
( spl41_1
| spl41_2 ),
inference(avatar_split_clause,[],[f135,f151,f147]) ).
fof(f135,plain,
! [X12] :
( r1(X12,sK32(X12))
| ~ r1(sK28,X12)
| sP0(sK28) ),
inference(cnf_transformation,[],[f72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL660+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 02:22:10 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.51 % (2553)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)
% 0.19/0.52 % (2551)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)
% 0.19/0.52 % (2545)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (2542)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.53 % (2564)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)
% 0.19/0.53 % (2556)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)
% 0.19/0.53 % (2567)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.53 % (2544)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)
% 0.19/0.53 % (2571)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)
% 0.19/0.53 % (2547)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)
% 0.19/0.53 % (2546)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.53 % (2553)Instruction limit reached!
% 0.19/0.53 % (2553)------------------------------
% 0.19/0.53 % (2553)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (2553)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (2553)Termination reason: Unknown
% 0.19/0.53 % (2553)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (2553)Memory used [KB]: 6140
% 0.19/0.53 % (2553)Time elapsed: 0.136 s
% 0.19/0.53 % (2553)Instructions burned: 7 (million)
% 0.19/0.53 % (2553)------------------------------
% 0.19/0.53 % (2553)------------------------------
% 0.19/0.53 % (2552)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)
% 0.19/0.53 % (2556)Instruction limit reached!
% 0.19/0.53 % (2556)------------------------------
% 0.19/0.53 % (2556)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (2556)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (2556)Termination reason: Unknown
% 0.19/0.53 % (2556)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (2556)Memory used [KB]: 6012
% 0.19/0.53 % (2556)Time elapsed: 0.005 s
% 0.19/0.53 % (2556)Instructions burned: 4 (million)
% 0.19/0.53 % (2556)------------------------------
% 0.19/0.53 % (2556)------------------------------
% 0.19/0.53 % (2546)Instruction limit reached!
% 0.19/0.53 % (2546)------------------------------
% 0.19/0.53 % (2546)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (2546)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (2546)Termination reason: Unknown
% 0.19/0.53 % (2546)Termination phase: Property scanning
% 0.19/0.53
% 0.19/0.53 % (2546)Memory used [KB]: 2814
% 0.19/0.53 % (2546)Time elapsed: 0.008 s
% 0.19/0.53 % (2546)Instructions burned: 16 (million)
% 0.19/0.53 % (2546)------------------------------
% 0.19/0.53 % (2546)------------------------------
% 0.19/0.54 % (2566)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)
% 0.19/0.54 % (2562)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)
% 0.19/0.54 % (2543)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)
% 0.19/0.54 % (2570)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)
% 0.19/0.54 % (2560)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)
% 0.19/0.54 % (2552)Instruction limit reached!
% 0.19/0.54 % (2552)------------------------------
% 0.19/0.54 % (2552)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (2552)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (2552)Termination reason: Unknown
% 0.19/0.54 % (2552)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (2552)Memory used [KB]: 6524
% 0.19/0.54 % (2552)Time elapsed: 0.138 s
% 0.19/0.54 % (2552)Instructions burned: 13 (million)
% 0.19/0.54 % (2552)------------------------------
% 0.19/0.54 % (2552)------------------------------
% 0.19/0.54 % (2560)Instruction limit reached!
% 0.19/0.54 % (2560)------------------------------
% 0.19/0.54 % (2560)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (2560)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (2560)Termination reason: Unknown
% 0.19/0.54 % (2560)Termination phase: Preprocessing 2
% 0.19/0.54
% 0.19/0.54 % (2560)Memory used [KB]: 1407
% 0.19/0.54 % (2560)Time elapsed: 0.002 s
% 0.19/0.54 % (2560)Instructions burned: 2 (million)
% 0.19/0.54 % (2560)------------------------------
% 0.19/0.54 % (2560)------------------------------
% 0.19/0.54 % (2558)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)
% 0.19/0.54 % (2563)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54 % (2570)Instruction limit reached!
% 0.19/0.54 % (2570)------------------------------
% 0.19/0.54 % (2570)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (2570)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (2570)Termination reason: Unknown
% 0.19/0.54 % (2570)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (2570)Memory used [KB]: 6268
% 0.19/0.54 % (2570)Time elapsed: 0.151 s
% 0.19/0.54 % (2570)Instructions burned: 8 (million)
% 0.19/0.54 % (2570)------------------------------
% 0.19/0.54 % (2570)------------------------------
% 0.19/0.54 % (2569)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)
% 0.19/0.54 % (2559)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.54 % (2549)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)
% 0.19/0.54 % (2559)Instruction limit reached!
% 0.19/0.54 % (2559)------------------------------
% 0.19/0.54 % (2559)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (2559)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (2559)Termination reason: Unknown
% 0.19/0.54 % (2559)Termination phase: Preprocessing 3
% 0.19/0.54
% 0.19/0.54 % (2559)Memory used [KB]: 1535
% 0.19/0.54 % (2559)Time elapsed: 0.005 s
% 0.19/0.54 % (2559)Instructions burned: 3 (million)
% 0.19/0.54 % (2559)------------------------------
% 0.19/0.54 % (2559)------------------------------
% 0.19/0.54 % (2554)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)
% 0.19/0.54 % (2548)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)
% 0.19/0.54 % (2550)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)
% 0.19/0.55 % (2555)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.55 % (2561)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.19/0.55 % (2544)Instruction limit reached!
% 0.19/0.55 % (2544)------------------------------
% 0.19/0.55 % (2544)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (2544)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (2544)Termination reason: Unknown
% 0.19/0.55 % (2544)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (2544)Memory used [KB]: 1535
% 0.19/0.55 % (2544)Time elapsed: 0.003 s
% 0.19/0.55 % (2544)Instructions burned: 4 (million)
% 0.19/0.55 % (2544)------------------------------
% 0.19/0.55 % (2544)------------------------------
% 0.19/0.55 % (2545)Refutation not found, incomplete strategy% (2545)------------------------------
% 0.19/0.55 % (2545)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (2565)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)
% 0.19/0.56 % (2547)Instruction limit reached!
% 0.19/0.56 % (2547)------------------------------
% 0.19/0.56 % (2547)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (2547)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (2547)Termination reason: Unknown
% 0.19/0.56 % (2547)Termination phase: Saturation
% 0.19/0.56
% 0.19/0.56 % (2547)Memory used [KB]: 1663
% 0.19/0.56 % (2547)Time elapsed: 0.165 s
% 0.19/0.56 % (2547)Instructions burned: 16 (million)
% 0.19/0.56 % (2547)------------------------------
% 0.19/0.56 % (2547)------------------------------
% 0.19/0.56 % (2557)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)
% 0.19/0.56 % (2557)Instruction limit reached!
% 0.19/0.56 % (2557)------------------------------
% 0.19/0.56 % (2557)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (2554)Instruction limit reached!
% 0.19/0.57 % (2554)------------------------------
% 0.19/0.57 % (2554)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (2554)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (2554)Termination reason: Unknown
% 0.19/0.57 % (2554)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (2554)Memory used [KB]: 1918
% 0.19/0.57 % (2554)Time elapsed: 0.168 s
% 0.19/0.57 % (2554)Instructions burned: 17 (million)
% 0.19/0.57 % (2554)------------------------------
% 0.19/0.57 % (2554)------------------------------
% 0.19/0.57 % (2568)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)
% 0.19/0.57 % (2561)Instruction limit reached!
% 0.19/0.57 % (2561)------------------------------
% 0.19/0.57 % (2561)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (2545)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (2561)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (2561)Termination reason: Unknown
% 0.19/0.57 % (2545)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.57 % (2561)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57
% 0.19/0.57 % (2545)Memory used [KB]: 6396
% 0.19/0.57 % (2561)Memory used [KB]: 6524
% 0.19/0.57 % (2545)Time elapsed: 0.144 s
% 0.19/0.57 % (2561)Time elapsed: 0.162 s
% 0.19/0.57 % (2545)Instructions burned: 19 (million)
% 0.19/0.57 % (2561)Instructions burned: 11 (million)
% 0.19/0.57 % (2561)------------------------------
% 0.19/0.57 % (2561)------------------------------
% 0.19/0.57 % (2545)------------------------------
% 0.19/0.57 % (2545)------------------------------
% 0.19/0.57 % (2557)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (2557)Termination reason: Unknown
% 0.19/0.57 % (2557)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (2557)Memory used [KB]: 6268
% 0.19/0.57 % (2557)Time elapsed: 0.148 s
% 0.19/0.57 % (2557)Instructions burned: 8 (million)
% 0.19/0.57 % (2557)------------------------------
% 0.19/0.57 % (2557)------------------------------
% 0.19/0.57 % (2555)Refutation not found, incomplete strategy% (2555)------------------------------
% 0.19/0.57 % (2555)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (2555)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (2555)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.57
% 0.19/0.57 % (2555)Memory used [KB]: 6396
% 0.19/0.57 % (2555)Time elapsed: 0.167 s
% 0.19/0.57 % (2555)Instructions burned: 18 (million)
% 0.19/0.57 % (2555)------------------------------
% 0.19/0.57 % (2555)------------------------------
% 0.19/0.58 % (2569)Instruction limit reached!
% 0.19/0.58 % (2569)------------------------------
% 0.19/0.58 % (2569)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (2569)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (2569)Termination reason: Unknown
% 0.19/0.58 % (2569)Termination phase: Saturation
% 0.19/0.58
% 0.19/0.58 % (2569)Memory used [KB]: 6396
% 0.19/0.58 % (2569)Time elapsed: 0.184 s
% 0.19/0.58 % (2569)Instructions burned: 26 (million)
% 0.19/0.58 % (2569)------------------------------
% 0.19/0.58 % (2569)------------------------------
% 0.19/0.58 % (2543)Instruction limit reached!
% 0.19/0.58 % (2543)------------------------------
% 0.19/0.58 % (2543)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (2543)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (2543)Termination reason: Unknown
% 0.19/0.58 % (2543)Termination phase: Saturation
% 0.19/0.58
% 0.19/0.58 % (2543)Memory used [KB]: 6524
% 0.19/0.58 % (2543)Time elapsed: 0.155 s
% 0.19/0.58 % (2543)Instructions burned: 14 (million)
% 0.19/0.58 % (2543)------------------------------
% 0.19/0.58 % (2543)------------------------------
% 1.70/0.58 % (2571)Instruction limit reached!
% 1.70/0.58 % (2571)------------------------------
% 1.70/0.58 % (2571)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.58 % (2571)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.58 % (2571)Termination reason: Unknown
% 1.70/0.58 % (2571)Termination phase: Property scanning
% 1.70/0.58
% 1.70/0.58 % (2571)Memory used [KB]: 2814
% 1.70/0.58 % (2571)Time elapsed: 0.010 s
% 1.70/0.58 % (2571)Instructions burned: 24 (million)
% 1.70/0.58 % (2571)------------------------------
% 1.70/0.58 % (2571)------------------------------
% 1.70/0.58 % (2551)Refutation not found, incomplete strategy% (2551)------------------------------
% 1.70/0.58 % (2551)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.58 % (2551)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.58 % (2551)Termination reason: Refutation not found, incomplete strategy
% 1.70/0.58
% 1.70/0.58 % (2551)Memory used [KB]: 6396
% 1.70/0.58 % (2551)Time elapsed: 0.165 s
% 1.70/0.58 % (2551)Instructions burned: 26 (million)
% 1.70/0.58 % (2551)------------------------------
% 1.70/0.58 % (2551)------------------------------
% 1.70/0.59 % (2562)Instruction limit reached!
% 1.70/0.59 % (2562)------------------------------
% 1.70/0.59 % (2562)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.59 % (2562)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.59 % (2562)Termination reason: Unknown
% 1.70/0.59 % (2562)Termination phase: Saturation
% 1.70/0.59
% 1.70/0.59 % (2562)Memory used [KB]: 6652
% 1.70/0.59 % (2562)Time elapsed: 0.186 s
% 1.70/0.59 % (2562)Instructions burned: 30 (million)
% 1.70/0.59 % (2562)------------------------------
% 1.70/0.59 % (2562)------------------------------
% 1.95/0.60 % (2564)Instruction limit reached!
% 1.95/0.60 % (2564)------------------------------
% 1.95/0.60 % (2564)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.60 % (2564)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.60 % (2564)Termination reason: Unknown
% 1.95/0.60 % (2564)Termination phase: Property scanning
% 1.95/0.60
% 1.95/0.60 % (2564)Memory used [KB]: 2814
% 1.95/0.60 % (2564)Time elapsed: 0.027 s
% 1.95/0.60 % (2564)Instructions burned: 82 (million)
% 1.95/0.60 % (2564)------------------------------
% 1.95/0.60 % (2564)------------------------------
% 1.95/0.61 % (2549)Instruction limit reached!
% 1.95/0.61 % (2549)------------------------------
% 1.95/0.61 % (2549)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.61 % (2549)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.61 % (2549)Termination reason: Unknown
% 1.95/0.61 % (2549)Termination phase: Saturation
% 1.95/0.61
% 1.95/0.61 % (2549)Memory used [KB]: 7036
% 1.95/0.61 % (2549)Time elapsed: 0.188 s
% 1.95/0.61 % (2549)Instructions burned: 39 (million)
% 1.95/0.61 % (2549)------------------------------
% 1.95/0.61 % (2549)------------------------------
% 1.95/0.61 % (2548)Instruction limit reached!
% 1.95/0.61 % (2548)------------------------------
% 1.95/0.61 % (2548)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.61 % (2548)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.61 % (2548)Termination reason: Unknown
% 1.95/0.61 % (2548)Termination phase: Saturation
% 1.95/0.61
% 1.95/0.61 % (2548)Memory used [KB]: 6908
% 1.95/0.61 % (2548)Time elapsed: 0.182 s
% 1.95/0.61 % (2548)Instructions burned: 40 (million)
% 1.95/0.61 % (2548)------------------------------
% 1.95/0.61 % (2548)------------------------------
% 1.95/0.62 % (2565)Instruction limit reached!
% 1.95/0.62 % (2565)------------------------------
% 1.95/0.62 % (2565)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.62 % (2565)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.62 % (2565)Termination reason: Unknown
% 1.95/0.62 % (2565)Termination phase: Saturation
% 1.95/0.62
% 1.95/0.62 % (2565)Memory used [KB]: 2046
% 1.95/0.62 % (2565)Time elapsed: 0.203 s
% 1.95/0.62 % (2565)Instructions burned: 45 (million)
% 1.95/0.62 % (2565)------------------------------
% 1.95/0.62 % (2565)------------------------------
% 2.16/0.64 % (2566)Instruction limit reached!
% 2.16/0.64 % (2566)------------------------------
% 2.16/0.64 % (2566)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.64 % (2566)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.64 % (2566)Termination reason: Unknown
% 2.16/0.64 % (2566)Termination phase: Saturation
% 2.16/0.64
% 2.16/0.64 % (2566)Memory used [KB]: 7036
% 2.16/0.64 % (2566)Time elapsed: 0.228 s
% 2.16/0.64 % (2566)Instructions burned: 50 (million)
% 2.16/0.64 % (2566)------------------------------
% 2.16/0.64 % (2566)------------------------------
% 2.16/0.64 % (2558)Instruction limit reached!
% 2.16/0.64 % (2558)------------------------------
% 2.16/0.64 % (2558)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.64 % (2558)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.64 % (2558)Termination reason: Unknown
% 2.16/0.64 % (2558)Termination phase: Saturation
% 2.16/0.64
% 2.16/0.64 % (2558)Memory used [KB]: 7036
% 2.16/0.64 % (2558)Time elapsed: 0.250 s
% 2.16/0.64 % (2558)Instructions burned: 50 (million)
% 2.16/0.64 % (2558)------------------------------
% 2.16/0.64 % (2558)------------------------------
% 2.16/0.64 % (2550)Instruction limit reached!
% 2.16/0.64 % (2550)------------------------------
% 2.16/0.64 % (2550)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.64 % (2550)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.64 % (2550)Termination reason: Unknown
% 2.16/0.64 % (2550)Termination phase: Saturation
% 2.16/0.64
% 2.16/0.64 % (2550)Memory used [KB]: 6780
% 2.16/0.64 % (2550)Time elapsed: 0.236 s
% 2.16/0.64 % (2550)Instructions burned: 50 (million)
% 2.16/0.64 % (2550)------------------------------
% 2.16/0.64 % (2550)------------------------------
% 2.16/0.66 % (2577)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=107:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 2.16/0.67 % (2574)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 2.16/0.67 % (2579)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/141Mi)
% 2.16/0.68 % (2575)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/87Mi)
% 2.16/0.68 % (2578)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/56Mi)
% 2.16/0.68 % (2576)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/69Mi)
% 2.16/0.69 % (2567)Refutation not found, non-redundant clauses discarded% (2567)------------------------------
% 2.16/0.69 % (2567)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.69 % (2581)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/31Mi)
% 2.16/0.69 % (2582)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.16/0.70 % (2574)Instruction limit reached!
% 2.16/0.70 % (2574)------------------------------
% 2.16/0.70 % (2574)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.70 % (2579)Refutation not found, incomplete strategy% (2579)------------------------------
% 2.16/0.70 % (2579)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.70 % (2573)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 2.16/0.70 % (2580)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/42Mi)
% 2.16/0.70 % (2584)lrs+10_1:1_br=off:s2a=on:s2agt=8:ss=axioms:st=2.0:urr=on:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/131Mi)
% 2.16/0.71 % (2583)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/84Mi)
% 2.16/0.71 % (2567)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.71 % (2567)Termination reason: Refutation not found, non-redundant clauses discarded
% 2.16/0.71
% 2.16/0.71 % (2567)Memory used [KB]: 8699
% 2.16/0.71 % (2567)Time elapsed: 0.280 s
% 2.16/0.71 % (2567)Instructions burned: 94 (million)
% 2.16/0.71 % (2567)------------------------------
% 2.16/0.71 % (2567)------------------------------
% 2.16/0.72 % (2589)dis+1011_5:1_drc=off:kws=inv_arity_squared:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:s2a=on:s2at=2.1:urr=ec_only:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/32Mi)
% 2.16/0.72 % (2574)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.72 % (2574)Termination reason: Unknown
% 2.16/0.72 % (2574)Termination phase: Saturation
% 2.16/0.72
% 2.16/0.72 % (2574)Memory used [KB]: 10746
% 2.16/0.72 % (2574)Time elapsed: 0.145 s
% 2.16/0.72 % (2574)Instructions burned: 8 (million)
% 2.16/0.72 % (2574)------------------------------
% 2.16/0.72 % (2574)------------------------------
% 2.16/0.72 % (2587)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=86:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/86Mi)
% 2.16/0.72 % (2579)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.72 % (2579)Termination reason: Refutation not found, incomplete strategy
% 2.16/0.72
% 2.16/0.72 % (2579)Memory used [KB]: 6268
% 2.16/0.72 % (2579)Time elapsed: 0.131 s
% 2.16/0.72 % (2579)Instructions burned: 15 (million)
% 2.16/0.72 % (2579)------------------------------
% 2.16/0.72 % (2579)------------------------------
% 2.16/0.72 % (2584)Refutation not found, incomplete strategy% (2584)------------------------------
% 2.16/0.72 % (2584)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.72 % (2592)ott+10_4:7_awrs=converge:bd=preordered:flr=on:nwc=10.0:sos=on:sp=reverse_frequency:to=lpo:urr=on:i=19:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/19Mi)
% 2.16/0.73 % (2563)Instruction limit reached!
% 2.16/0.73 % (2563)------------------------------
% 2.16/0.73 % (2563)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.73 % (2591)ott+10_1:1_ep=R:sd=1:sos=all:ss=axioms:i=66:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/66Mi)
% 2.16/0.73 % (2585)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/93Mi)
% 2.16/0.74 % (2584)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.74 % (2584)Termination reason: Refutation not found, incomplete strategy
% 2.16/0.74
% 2.16/0.74 % (2584)Memory used [KB]: 6268
% 2.16/0.74 % (2584)Time elapsed: 0.128 s
% 2.16/0.74 % (2584)Instructions burned: 11 (million)
% 2.16/0.74 % (2584)------------------------------
% 2.16/0.74 % (2584)------------------------------
% 2.50/0.74 % (2563)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.50/0.74 % (2563)Termination reason: Unknown
% 2.50/0.74 % (2563)Termination phase: Saturation
% 2.50/0.74
% 2.50/0.74 % (2563)Memory used [KB]: 7419
% 2.50/0.74 % (2563)Time elapsed: 0.325 s
% 2.50/0.74 % (2563)Instructions burned: 100 (million)
% 2.50/0.74 % (2563)------------------------------
% 2.50/0.74 % (2563)------------------------------
% 2.50/0.74 % (2568)Instruction limit reached!
% 2.50/0.74 % (2568)------------------------------
% 2.50/0.74 % (2568)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.50/0.75 % (2581)Instruction limit reached!
% 2.50/0.75 % (2581)------------------------------
% 2.50/0.75 % (2581)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.50/0.76 % (2586)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=109:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/109Mi)
% 2.50/0.76 % (2581)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.50/0.76 % (2581)Termination reason: Unknown
% 2.50/0.76 % (2581)Termination phase: Saturation
% 2.50/0.76
% 2.50/0.76 % (2581)Memory used [KB]: 6780
% 2.50/0.76 % (2581)Time elapsed: 0.170 s
% 2.50/0.76 % (2581)Instructions burned: 32 (million)
% 2.50/0.76 % (2581)------------------------------
% 2.50/0.76 % (2581)------------------------------
% 2.50/0.76 % (2589)Instruction limit reached!
% 2.50/0.76 % (2589)------------------------------
% 2.50/0.76 % (2589)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.50/0.76 % (2589)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.50/0.76 % (2589)Termination reason: Unknown
% 2.50/0.76 % (2589)Termination phase: Saturation
% 2.50/0.76
% 2.50/0.76 % (2589)Memory used [KB]: 6780
% 2.50/0.76 % (2589)Time elapsed: 0.142 s
% 2.50/0.76 % (2589)Instructions burned: 32 (million)
% 2.50/0.76 % (2589)------------------------------
% 2.50/0.76 % (2589)------------------------------
% 2.50/0.77 % (2588)lrs+4_1:1_fde=unused:sos=on:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/15Mi)
% 2.50/0.77 % (2596)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=472:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/472Mi)
% 2.50/0.77 % (2568)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.50/0.77 % (2568)Termination reason: Unknown
% 2.50/0.77 % (2568)Termination phase: Saturation
% 2.50/0.77
% 2.50/0.77 % (2568)Memory used [KB]: 7547
% 2.50/0.77 % (2568)Time elapsed: 0.330 s
% 2.50/0.77 % (2568)Instructions burned: 100 (million)
% 2.50/0.77 % (2568)------------------------------
% 2.50/0.77 % (2568)------------------------------
% 2.50/0.78 % (2592)Instruction limit reached!
% 2.50/0.78 % (2592)------------------------------
% 2.50/0.78 % (2592)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.50/0.78 % (2592)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.50/0.78 % (2592)Termination reason: Unknown
% 2.50/0.78 % (2592)Termination phase: Saturation
% 2.50/0.78
% 2.50/0.78 % (2592)Memory used [KB]: 6652
% 2.50/0.78 % (2592)Time elapsed: 0.141 s
% 2.50/0.78 % (2592)Instructions burned: 19 (million)
% 2.50/0.78 % (2592)------------------------------
% 2.50/0.78 % (2592)------------------------------
% 2.50/0.78 % (2598)lrs+2_1:1_ep=R:fde=none:lcm=reverse:nwc=5.0:sos=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/97Mi)
% 2.50/0.78 % (2597)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/21Mi)
% 2.50/0.78 % (2590)lrs+1002_1:32_ep=RS:ss=axioms:st=5.0:i=149:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/149Mi)
% 2.50/0.78 % (2580)Instruction limit reached!
% 2.50/0.78 % (2580)------------------------------
% 2.50/0.78 % (2580)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.50/0.78 % (2580)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.50/0.78 % (2580)Termination reason: Unknown
% 2.50/0.78 % (2580)Termination phase: Saturation
% 2.50/0.78
% 2.50/0.78 % (2580)Memory used [KB]: 7036
% 2.50/0.78 % (2580)Time elapsed: 0.191 s
% 2.50/0.78 % (2580)Instructions burned: 42 (million)
% 2.50/0.78 % (2580)------------------------------
% 2.50/0.78 % (2580)------------------------------
% 2.50/0.79 % (2593)dis+1002_1:1_ins=1:sd=1:sos=on:ss=axioms:to=lpo:i=341:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/341Mi)
% 2.50/0.79 % (2586)Refutation not found, incomplete strategy% (2586)------------------------------
% 2.50/0.79 % (2586)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.50/0.79 % (2586)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.50/0.79 % (2586)Termination reason: Refutation not found, incomplete strategy
% 2.50/0.79
% 2.50/0.79 % (2586)Memory used [KB]: 6396
% 2.50/0.79 % (2586)Time elapsed: 0.166 s
% 2.50/0.79 % (2586)Instructions burned: 19 (million)
% 2.50/0.79 % (2586)------------------------------
% 2.50/0.79 % (2586)------------------------------
% 2.50/0.79 % (2578)Instruction limit reached!
% 2.50/0.79 % (2578)------------------------------
% 2.50/0.79 % (2578)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.50/0.79 % (2578)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.50/0.79 % (2578)Termination reason: Unknown
% 2.50/0.79 % (2578)Termination phase: Saturation
% 2.50/0.79
% 2.50/0.79 % (2578)Memory used [KB]: 7291
% 2.50/0.79 % (2578)Time elapsed: 0.220 s
% 2.50/0.79 % (2578)Instructions burned: 56 (million)
% 2.50/0.79 % (2578)------------------------------
% 2.50/0.79 % (2578)------------------------------
% 2.90/0.80 % (2596)Refutation not found, incomplete strategy% (2596)------------------------------
% 2.90/0.80 % (2596)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.90/0.80 % (2596)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.90/0.80 % (2596)Termination reason: Refutation not found, incomplete strategy
% 2.90/0.80
% 2.90/0.80 % (2596)Memory used [KB]: 6268
% 2.90/0.80 % (2596)Time elapsed: 0.118 s
% 2.90/0.80 % (2596)Instructions burned: 14 (million)
% 2.90/0.80 % (2596)------------------------------
% 2.90/0.80 % (2596)------------------------------
% 2.90/0.80 % (2594)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=237:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/237Mi)
% 2.90/0.80 % (2595)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=10:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/10Mi)
% 2.90/0.81 % (2597)Instruction limit reached!
% 2.90/0.81 % (2597)------------------------------
% 2.90/0.81 % (2597)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.90/0.81 % (2597)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.90/0.81 % (2597)Termination reason: Unknown
% 2.90/0.81 % (2597)Termination phase: Property scanning
% 2.90/0.81
% 2.90/0.81 % (2597)Memory used [KB]: 2814
% 2.90/0.81 % (2597)Time elapsed: 0.009 s
% 2.90/0.81 % (2597)Instructions burned: 22 (million)
% 2.90/0.81 % (2597)------------------------------
% 2.90/0.81 % (2597)------------------------------
% 2.90/0.81 % (2576)Instruction limit reached!
% 2.90/0.81 % (2576)------------------------------
% 2.90/0.81 % (2576)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.90/0.81 % (2576)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.90/0.81 % (2576)Termination reason: Unknown
% 2.90/0.81 % (2576)Termination phase: Saturation
% 2.90/0.81
% 2.90/0.81 % (2576)Memory used [KB]: 2686
% 2.90/0.81 % (2576)Time elapsed: 0.249 s
% 2.90/0.81 % (2576)Instructions burned: 70 (million)
% 2.90/0.81 % (2576)------------------------------
% 2.90/0.81 % (2576)------------------------------
% 2.90/0.82 % (2588)Instruction limit reached!
% 2.90/0.82 % (2588)------------------------------
% 2.90/0.82 % (2588)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.90/0.82 % (2588)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.90/0.82 % (2588)Termination reason: Unknown
% 2.90/0.82 % (2588)Termination phase: Saturation
% 2.90/0.82
% 2.90/0.82 % (2588)Memory used [KB]: 6524
% 2.90/0.82 % (2588)Time elapsed: 0.174 s
% 2.90/0.82 % (2588)Instructions burned: 15 (million)
% 2.90/0.82 % (2588)------------------------------
% 2.90/0.82 % (2588)------------------------------
% 2.90/0.82 % (2595)Instruction limit reached!
% 2.90/0.82 % (2595)------------------------------
% 2.90/0.82 % (2595)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.90/0.82 % (2577)Instruction limit reached!
% 2.90/0.82 % (2577)------------------------------
% 2.90/0.82 % (2577)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.90/0.82 % (2577)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.90/0.82 % (2577)Termination reason: Unknown
% 2.90/0.82 % (2577)Termination phase: Saturation
% 2.90/0.82
% 2.90/0.82 % (2577)Memory used [KB]: 1918
% 2.90/0.82 % (2577)Time elapsed: 0.242 s
% 2.90/0.82 % (2577)Instructions burned: 107 (million)
% 2.90/0.82 % (2577)------------------------------
% 2.90/0.82 % (2577)------------------------------
% 2.90/0.83 % (2582)Instruction limit reached!
% 2.90/0.83 % (2582)------------------------------
% 2.90/0.83 % (2582)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.90/0.83 % (2582)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.90/0.83 % (2582)Termination reason: Unknown
% 2.90/0.83 % (2582)Termination phase: Saturation
% 2.90/0.83
% 2.90/0.83 % (2582)Memory used [KB]: 7547
% 2.90/0.83 % (2582)Time elapsed: 0.242 s
% 2.90/0.83 % (2582)Instructions burned: 69 (million)
% 2.90/0.83 % (2582)------------------------------
% 2.90/0.83 % (2582)------------------------------
% 2.90/0.83 % (2595)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.90/0.83 % (2595)Termination reason: Unknown
% 2.90/0.83 % (2595)Termination phase: Saturation
% 2.90/0.83
% 2.90/0.83 % (2595)Memory used [KB]: 6396
% 2.90/0.83 % (2595)Time elapsed: 0.119 s
% 2.90/0.83 % (2595)Instructions burned: 11 (million)
% 2.90/0.83 % (2595)------------------------------
% 2.90/0.83 % (2595)------------------------------
% 2.90/0.83 % (2591)Instruction limit reached!
% 2.90/0.83 % (2591)------------------------------
% 2.90/0.83 % (2591)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.90/0.83 % (2575)Instruction limit reached!
% 2.90/0.83 % (2575)------------------------------
% 2.90/0.83 % (2575)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.90/0.84 % (2575)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.90/0.84 % (2575)Termination reason: Unknown
% 2.90/0.84 % (2575)Termination phase: Saturation
% 2.90/0.84
% 2.90/0.84 % (2575)Memory used [KB]: 9338
% 2.90/0.84 % (2575)Time elapsed: 0.258 s
% 2.90/0.84 % (2575)Instructions burned: 89 (million)
% 2.90/0.84 % (2575)------------------------------
% 2.90/0.84 % (2575)------------------------------
% 2.90/0.84 % (2542)First to succeed.
% 2.90/0.84 % (2600)dis+1011_1:1_nwc=3.0:sd=1:spb=goal_then_units:ss=included:to=lpo:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/138Mi)
% 2.90/0.85 % (2591)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.90/0.85 % (2591)Termination reason: Unknown
% 2.90/0.85 % (2591)Termination phase: Saturation
% 2.90/0.85
% 2.90/0.85 % (2591)Memory used [KB]: 8059
% 2.90/0.85 % (2591)Time elapsed: 0.215 s
% 2.90/0.85 % (2591)Instructions burned: 66 (million)
% 2.90/0.85 % (2591)------------------------------
% 2.90/0.85 % (2591)------------------------------
% 2.90/0.85 % (2599)lrs+10_1:1_av=off:sd=2:sos=on:ss=axioms:st=1.5:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/21Mi)
% 2.90/0.85 % (2601)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=393:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/393Mi)
% 2.90/0.85 % (2573)Instruction limit reached!
% 2.90/0.85 % (2573)------------------------------
% 2.90/0.85 % (2573)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.90/0.85 % (2583)Instruction limit reached!
% 2.90/0.85 % (2583)------------------------------
% 2.90/0.85 % (2583)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.90/0.85 % (2583)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.90/0.85 % (2583)Termination reason: Unknown
% 2.90/0.85 % (2583)Termination phase: Saturation
% 2.90/0.85
% 2.90/0.85 % (2583)Memory used [KB]: 7675
% 2.90/0.85 % (2583)Time elapsed: 0.257 s
% 2.90/0.85 % (2583)Instructions burned: 84 (million)
% 2.90/0.85 % (2583)------------------------------
% 2.90/0.85 % (2583)------------------------------
% 2.90/0.86 % (2602)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/488Mi)
% 3.38/0.86 % (2603)dis+1004_1:1_br=off:fsd=on:urr=ec_only:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/93Mi)
% 3.38/0.86 % (2604)lrs+10_1:8_ep=R:nwc=5.0:rnwc=on:sos=on:urr=on:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/23Mi)
% 3.38/0.87 % (2573)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.38/0.87 % (2573)Termination reason: Unknown
% 3.38/0.87 % (2573)Termination phase: Saturation
% 3.38/0.87
% 3.38/0.87 % (2573)Memory used [KB]: 7803
% 3.38/0.87 % (2573)Time elapsed: 0.290 s
% 3.38/0.87 % (2573)Instructions burned: 93 (million)
% 3.38/0.87 % (2573)------------------------------
% 3.38/0.87 % (2573)------------------------------
% 3.38/0.87 % (2585)Instruction limit reached!
% 3.38/0.87 % (2585)------------------------------
% 3.38/0.87 % (2585)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.38/0.87 % (2587)Instruction limit reached!
% 3.38/0.87 % (2587)------------------------------
% 3.38/0.87 % (2587)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.38/0.88 % (2599)Instruction limit reached!
% 3.38/0.88 % (2599)------------------------------
% 3.38/0.88 % (2599)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.38/0.88 % (2599)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.38/0.88 % (2599)Termination reason: Unknown
% 3.38/0.88 % (2599)Termination phase: Saturation
% 3.38/0.88
% 3.38/0.88 % (2599)Memory used [KB]: 1918
% 3.38/0.88 % (2599)Time elapsed: 0.111 s
% 3.38/0.88 % (2599)Instructions burned: 21 (million)
% 3.38/0.88 % (2599)------------------------------
% 3.38/0.88 % (2599)------------------------------
% 3.38/0.88 % (2585)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.38/0.88 % (2585)Termination reason: Unknown
% 3.38/0.88 % (2585)Termination phase: Saturation
% 3.38/0.88
% 3.38/0.88 % (2585)Memory used [KB]: 8571
% 3.38/0.88 % (2585)Time elapsed: 0.277 s
% 3.38/0.88 % (2585)Instructions burned: 94 (million)
% 3.38/0.88 % (2585)------------------------------
% 3.38/0.88 % (2585)------------------------------
% 3.38/0.88 % (2542)Refutation found. Thanks to Tanya!
% 3.38/0.88 % SZS status Theorem for theBenchmark
% 3.38/0.88 % SZS output start Proof for theBenchmark
% See solution above
% 3.38/0.89 % (2542)------------------------------
% 3.38/0.89 % (2542)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.38/0.89 % (2542)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.38/0.89 % (2542)Termination reason: Refutation
% 3.38/0.89
% 3.38/0.89 % (2542)Memory used [KB]: 8955
% 3.38/0.89 % (2542)Time elapsed: 0.445 s
% 3.38/0.89 % (2542)Instructions burned: 171 (million)
% 3.38/0.89 % (2542)------------------------------
% 3.38/0.89 % (2542)------------------------------
% 3.38/0.89 % (2541)Success in time 0.528 s
%------------------------------------------------------------------------------