TSTP Solution File: LCL660+1.001 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n015.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 17:49:17 EDT 2022
% Result : Theorem 4.46s 1.09s
% Output : Refutation 4.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 98
% Syntax : Number of formulae : 452 ( 3 unt; 0 def)
% Number of atoms : 2974 ( 0 equ)
% Maximal formula atoms : 120 ( 6 avg)
% Number of connectives : 4285 (1763 ~;1881 |; 552 &)
% ( 57 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 35 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 70 ( 69 usr; 58 prp; 0-2 aty)
% Number of functors : 32 ( 32 usr; 5 con; 0-1 aty)
% Number of variables : 911 ( 676 !; 235 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f22073,plain,
$false,
inference(avatar_sat_refutation,[],[f152,f161,f165,f169,f173,f181,f190,f194,f199,f203,f207,f211,f216,f295,f643,f1610,f2255,f2467,f2509,f2510,f2522,f2526,f2613,f2624,f2630,f3736,f4218,f4248,f5422,f5653,f5658,f5738,f5743,f5748,f5979,f6458,f6722,f6740,f6746,f6752,f6775,f7084,f7088,f7103,f7105,f7107,f10314,f11164,f12664,f17779,f17928,f17936,f17950,f18847,f21530,f21556,f21562,f21568,f21584,f22067]) ).
fof(f22067,plain,
( ~ spl41_16
| ~ spl41_3180
| spl41_3181
| ~ spl41_3182
| ~ spl41_3185 ),
inference(avatar_contradiction_clause,[],[f22066]) ).
fof(f22066,plain,
( $false
| ~ spl41_16
| ~ spl41_3180
| spl41_3181
| ~ spl41_3182
| ~ spl41_3185 ),
inference(subsumption_resolution,[],[f22065,f21567]) ).
fof(f21567,plain,
( r1(sK29,sK25(sK29))
| ~ spl41_3182 ),
inference(avatar_component_clause,[],[f21565]) ).
fof(f21565,plain,
( spl41_3182
<=> r1(sK29,sK25(sK29)) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_3182])]) ).
fof(f22065,plain,
( ~ r1(sK29,sK25(sK29))
| ~ spl41_16
| ~ spl41_3180
| spl41_3181
| ~ spl41_3185 ),
inference(subsumption_resolution,[],[f22064,f21561]) ).
fof(f21561,plain,
( ~ p2(sK26(sK29))
| spl41_3181 ),
inference(avatar_component_clause,[],[f21559]) ).
fof(f21559,plain,
( spl41_3181
<=> p2(sK26(sK29)) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_3181])]) ).
fof(f22064,plain,
( p2(sK26(sK29))
| ~ r1(sK29,sK25(sK29))
| ~ spl41_16
| ~ spl41_3180
| ~ spl41_3185 ),
inference(subsumption_resolution,[],[f21883,f21555]) ).
fof(f21555,plain,
( p2(sK25(sK29))
| ~ spl41_3180 ),
inference(avatar_component_clause,[],[f21553]) ).
fof(f21553,plain,
( spl41_3180
<=> p2(sK25(sK29)) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_3180])]) ).
fof(f21883,plain,
( ~ p2(sK25(sK29))
| ~ r1(sK29,sK25(sK29))
| p2(sK26(sK29))
| ~ spl41_16
| ~ spl41_3185 ),
inference(resolution,[],[f21583,f210]) ).
fof(f210,plain,
( ! [X6,X5] :
( ~ r1(X5,X6)
| p2(X6)
| ~ r1(sK29,X5)
| ~ p2(X5) )
| ~ spl41_16 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f209,plain,
( spl41_16
<=> ! [X6,X5] :
( p2(X6)
| ~ p2(X5)
| ~ r1(X5,X6)
| ~ r1(sK29,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_16])]) ).
fof(f21583,plain,
( r1(sK25(sK29),sK26(sK29))
| ~ spl41_3185 ),
inference(avatar_component_clause,[],[f21581]) ).
fof(f21581,plain,
( spl41_3185
<=> r1(sK25(sK29),sK26(sK29)) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_3185])]) ).
fof(f21584,plain,
( spl41_3185
| spl41_10
| ~ spl41_3
| ~ spl41_9 ),
inference(avatar_split_clause,[],[f21579,f178,f154,f183,f21581]) ).
fof(f183,plain,
( spl41_10
<=> p2(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_10])]) ).
fof(f154,plain,
( spl41_3
<=> r1(sK28,sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_3])]) ).
fof(f178,plain,
( spl41_9
<=> sP0(sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_9])]) ).
fof(f21579,plain,
( p2(sK29)
| r1(sK25(sK29),sK26(sK29))
| ~ spl41_3
| ~ spl41_9 ),
inference(subsumption_resolution,[],[f6017,f180]) ).
fof(f180,plain,
( sP0(sK28)
| ~ spl41_9 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f6017,plain,
( r1(sK25(sK29),sK26(sK29))
| p2(sK29)
| ~ sP0(sK28)
| ~ spl41_3 ),
inference(resolution,[],[f156,f116]) ).
fof(f116,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| ~ sP0(X0)
| p2(X1)
| r1(sK25(X1),sK26(X1)) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ( ! [X1] :
( ( r1(X1,sK25(X1))
& r1(sK25(X1),sK26(X1))
& ~ p2(sK26(X1))
& p2(sK25(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
& ~ p2(sK27(X0))
& r1(X0,sK27(X0)) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25,sK26,sK27])],[f53,f56,f55,f54]) ).
fof(f54,plain,
! [X1] :
( ? [X2] :
( r1(X1,X2)
& ? [X3] :
( r1(X2,X3)
& ~ p2(X3) )
& p2(X2) )
=> ( r1(X1,sK25(X1))
& ? [X3] :
( r1(sK25(X1),X3)
& ~ p2(X3) )
& p2(sK25(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
! [X1] :
( ? [X3] :
( r1(sK25(X1),X3)
& ~ p2(X3) )
=> ( r1(sK25(X1),sK26(X1))
& ~ p2(sK26(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
! [X0] :
( ? [X4] :
( ~ p2(X4)
& r1(X0,X4) )
=> ( ~ p2(sK27(X0))
& r1(X0,sK27(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
! [X0] :
( ( ! [X1] :
( ? [X2] :
( r1(X1,X2)
& ? [X3] :
( r1(X2,X3)
& ~ p2(X3) )
& p2(X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ? [X4] :
( ~ p2(X4)
& r1(X0,X4) ) )
| ~ sP0(X0) ),
inference(rectify,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ( ! [X2] :
( ? [X3] :
( r1(X2,X3)
& ? [X4] :
( r1(X3,X4)
& ~ p2(X4) )
& p2(X3) )
| p2(X2)
| ~ r1(X0,X2) )
& ? [X1] :
( ~ p2(X1)
& r1(X0,X1) ) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,plain,
! [X0] :
( ( ! [X2] :
( ? [X3] :
( r1(X2,X3)
& ? [X4] :
( r1(X3,X4)
& ~ p2(X4) )
& p2(X3) )
| p2(X2)
| ~ r1(X0,X2) )
& ? [X1] :
( ~ p2(X1)
& r1(X0,X1) ) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f156,plain,
( r1(sK28,sK29)
| ~ spl41_3 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f21568,plain,
( spl41_3182
| spl41_10
| ~ spl41_3
| ~ spl41_9 ),
inference(avatar_split_clause,[],[f21563,f178,f154,f183,f21565]) ).
fof(f21563,plain,
( p2(sK29)
| r1(sK29,sK25(sK29))
| ~ spl41_3
| ~ spl41_9 ),
inference(subsumption_resolution,[],[f6018,f180]) ).
fof(f6018,plain,
( p2(sK29)
| r1(sK29,sK25(sK29))
| ~ sP0(sK28)
| ~ spl41_3 ),
inference(resolution,[],[f156,f117]) ).
fof(f117,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ sP0(X0)
| r1(X1,sK25(X1)) ),
inference(cnf_transformation,[],[f57]) ).
fof(f21562,plain,
( spl41_10
| ~ spl41_3181
| ~ spl41_3
| ~ spl41_9 ),
inference(avatar_split_clause,[],[f21557,f178,f154,f21559,f183]) ).
fof(f21557,plain,
( ~ p2(sK26(sK29))
| p2(sK29)
| ~ spl41_3
| ~ spl41_9 ),
inference(subsumption_resolution,[],[f6016,f180]) ).
fof(f6016,plain,
( ~ sP0(sK28)
| p2(sK29)
| ~ p2(sK26(sK29))
| ~ spl41_3 ),
inference(resolution,[],[f156,f115]) ).
fof(f115,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| ~ p2(sK26(X1))
| ~ sP0(X0)
| p2(X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f21556,plain,
( spl41_3180
| spl41_10
| ~ spl41_3
| ~ spl41_9 ),
inference(avatar_split_clause,[],[f21551,f178,f154,f183,f21553]) ).
fof(f21551,plain,
( p2(sK29)
| p2(sK25(sK29))
| ~ spl41_3
| ~ spl41_9 ),
inference(subsumption_resolution,[],[f6015,f180]) ).
fof(f6015,plain,
( ~ sP0(sK28)
| p2(sK25(sK29))
| p2(sK29)
| ~ spl41_3 ),
inference(resolution,[],[f156,f114]) ).
fof(f114,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| ~ sP0(X0)
| p2(X1)
| p2(sK25(X1)) ),
inference(cnf_transformation,[],[f57]) ).
fof(f21530,plain,
( ~ spl41_11
| ~ spl41_15
| ~ spl41_919
| ~ spl41_922
| spl41_923
| ~ spl41_924
| spl41_927
| spl41_928 ),
inference(avatar_contradiction_clause,[],[f21529]) ).
fof(f21529,plain,
( $false
| ~ spl41_11
| ~ spl41_15
| ~ spl41_919
| ~ spl41_922
| spl41_923
| ~ spl41_924
| spl41_927
| spl41_928 ),
inference(subsumption_resolution,[],[f21528,f6769]) ).
fof(f6769,plain,
( ~ sP4(sK21(sK29))
| spl41_927 ),
inference(avatar_component_clause,[],[f6768]) ).
fof(f6768,plain,
( spl41_927
<=> sP4(sK21(sK29)) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_927])]) ).
fof(f21528,plain,
( sP4(sK21(sK29))
| ~ spl41_11
| ~ spl41_15
| ~ spl41_919
| ~ spl41_922
| spl41_923
| ~ spl41_924
| spl41_928 ),
inference(subsumption_resolution,[],[f21527,f6648]) ).
fof(f6648,plain,
( r1(sK29,sK21(sK29))
| ~ spl41_11 ),
inference(resolution,[],[f189,f103]) ).
fof(f103,plain,
! [X0] :
( ~ sP2(X0)
| r1(X0,sK21(X0)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0] :
( ( ! [X1] :
( p2(X1)
| ( p2(sK19(X1))
& r1(X1,sK19(X1))
& ~ p2(sK20(X1))
& r1(sK19(X1),sK20(X1)) )
| ~ r1(X0,X1) )
& r1(X0,sK21(X0))
& ~ p2(sK22(X0))
& r1(sK21(X0),sK22(X0))
& ! [X6] :
( ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ p2(X6)
| ~ r1(sK22(X0),X6) ) )
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20,sK21,sK22])],[f41,f45,f44,f43,f42]) ).
fof(f42,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& r1(X1,X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) ) )
=> ( p2(sK19(X1))
& r1(X1,sK19(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK19(X1),X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK19(X1),X3) )
=> ( ~ p2(sK20(X1))
& r1(sK19(X1),sK20(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
! [X0] :
( ? [X4] :
( r1(X0,X4)
& ? [X5] :
( ~ p2(X5)
& r1(X4,X5)
& ! [X6] :
( ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ p2(X6)
| ~ r1(X5,X6) ) ) )
=> ( r1(X0,sK21(X0))
& ? [X5] :
( ~ p2(X5)
& r1(sK21(X0),X5)
& ! [X6] :
( ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ p2(X6)
| ~ r1(X5,X6) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
! [X0] :
( ? [X5] :
( ~ p2(X5)
& r1(sK21(X0),X5)
& ! [X6] :
( ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ p2(X6)
| ~ r1(X5,X6) ) )
=> ( ~ p2(sK22(X0))
& r1(sK21(X0),sK22(X0))
& ! [X6] :
( ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ p2(X6)
| ~ r1(sK22(X0),X6) ) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
! [X0] :
( ( ! [X1] :
( p2(X1)
| ? [X2] :
( p2(X2)
& r1(X1,X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) ) )
| ~ r1(X0,X1) )
& ? [X4] :
( r1(X0,X4)
& ? [X5] :
( ~ p2(X5)
& r1(X4,X5)
& ! [X6] :
( ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ p2(X6)
| ~ r1(X5,X6) ) ) ) )
| ~ sP2(X0) ),
inference(rectify,[],[f40]) ).
fof(f40,plain,
! [X16] :
( ( ! [X17] :
( p2(X17)
| ? [X18] :
( p2(X18)
& r1(X17,X18)
& ? [X19] :
( ~ p2(X19)
& r1(X18,X19) ) )
| ~ r1(X16,X17) )
& ? [X20] :
( r1(X16,X20)
& ? [X21] :
( ~ p2(X21)
& r1(X20,X21)
& ! [X22] :
( ! [X23] :
( p2(X23)
| ~ r1(X22,X23) )
| ~ p2(X22)
| ~ r1(X21,X22) ) ) ) )
| ~ sP2(X16) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X16] :
( ( ! [X17] :
( p2(X17)
| ? [X18] :
( p2(X18)
& r1(X17,X18)
& ? [X19] :
( ~ p2(X19)
& r1(X18,X19) ) )
| ~ r1(X16,X17) )
& ? [X20] :
( r1(X16,X20)
& ? [X21] :
( ~ p2(X21)
& r1(X20,X21)
& ! [X22] :
( ! [X23] :
( p2(X23)
| ~ r1(X22,X23) )
| ~ p2(X22)
| ~ r1(X21,X22) ) ) ) )
| ~ sP2(X16) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f189,plain,
( sP2(sK29)
| ~ spl41_11 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f187,plain,
( spl41_11
<=> sP2(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_11])]) ).
fof(f21527,plain,
( ~ r1(sK29,sK21(sK29))
| sP4(sK21(sK29))
| ~ spl41_15
| ~ spl41_919
| ~ spl41_922
| spl41_923
| ~ spl41_924
| spl41_928 ),
inference(subsumption_resolution,[],[f21526,f6773]) ).
fof(f6773,plain,
( ~ sP5(sK21(sK29))
| spl41_928 ),
inference(avatar_component_clause,[],[f6772]) ).
fof(f6772,plain,
( spl41_928
<=> sP5(sK21(sK29)) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_928])]) ).
fof(f21526,plain,
( sP5(sK21(sK29))
| ~ r1(sK29,sK21(sK29))
| sP4(sK21(sK29))
| ~ spl41_15
| ~ spl41_919
| ~ spl41_922
| spl41_923
| ~ spl41_924 ),
inference(resolution,[],[f12266,f6739]) ).
fof(f6739,plain,
( r1(sK21(sK29),sK19(sK21(sK29)))
| ~ spl41_922 ),
inference(avatar_component_clause,[],[f6737]) ).
fof(f6737,plain,
( spl41_922
<=> r1(sK21(sK29),sK19(sK21(sK29))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_922])]) ).
fof(f12266,plain,
( ! [X8] :
( ~ r1(X8,sK19(sK21(sK29)))
| ~ r1(sK29,X8)
| sP4(X8)
| sP5(X8) )
| ~ spl41_15
| ~ spl41_919
| spl41_923
| ~ spl41_924 ),
inference(subsumption_resolution,[],[f12265,f6745]) ).
fof(f6745,plain,
( ~ p2(sK20(sK21(sK29)))
| spl41_923 ),
inference(avatar_component_clause,[],[f6743]) ).
fof(f6743,plain,
( spl41_923
<=> p2(sK20(sK21(sK29))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_923])]) ).
fof(f12265,plain,
( ! [X8] :
( sP5(X8)
| ~ r1(X8,sK19(sK21(sK29)))
| sP4(X8)
| p2(sK20(sK21(sK29)))
| ~ r1(sK29,X8) )
| ~ spl41_15
| ~ spl41_919
| ~ spl41_924 ),
inference(subsumption_resolution,[],[f12212,f6721]) ).
fof(f6721,plain,
( p2(sK19(sK21(sK29)))
| ~ spl41_919 ),
inference(avatar_component_clause,[],[f6719]) ).
fof(f6719,plain,
( spl41_919
<=> p2(sK19(sK21(sK29))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_919])]) ).
fof(f12212,plain,
( ! [X8] :
( ~ p2(sK19(sK21(sK29)))
| p2(sK20(sK21(sK29)))
| sP5(X8)
| ~ r1(sK29,X8)
| sP4(X8)
| ~ r1(X8,sK19(sK21(sK29))) )
| ~ spl41_15
| ~ spl41_924 ),
inference(resolution,[],[f6751,f206]) ).
fof(f206,plain,
( ! [X2,X3,X4] :
( ~ r1(X3,X4)
| ~ r1(sK29,X2)
| sP5(X2)
| ~ p2(X3)
| ~ r1(X2,X3)
| p2(X4)
| sP4(X2) )
| ~ spl41_15 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f205,plain,
( spl41_15
<=> ! [X4,X2,X3] :
( ~ r1(X3,X4)
| p2(X4)
| sP5(X2)
| ~ p2(X3)
| sP4(X2)
| ~ r1(sK29,X2)
| ~ r1(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_15])]) ).
fof(f6751,plain,
( r1(sK19(sK21(sK29)),sK20(sK21(sK29)))
| ~ spl41_924 ),
inference(avatar_component_clause,[],[f6749]) ).
fof(f6749,plain,
( spl41_924
<=> r1(sK19(sK21(sK29)),sK20(sK21(sK29))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_924])]) ).
fof(f18847,plain,
( ~ spl41_4
| spl41_89
| ~ spl41_374
| spl41_375
| ~ spl41_376
| ~ spl41_377 ),
inference(avatar_contradiction_clause,[],[f18846]) ).
fof(f18846,plain,
( $false
| ~ spl41_4
| spl41_89
| ~ spl41_374
| spl41_375
| ~ spl41_376
| ~ spl41_377 ),
inference(subsumption_resolution,[],[f18844,f2629]) ).
fof(f2629,plain,
( ~ p2(sK26(sK9(sK28)))
| spl41_375 ),
inference(avatar_component_clause,[],[f2627]) ).
fof(f2627,plain,
( spl41_375
<=> p2(sK26(sK9(sK28))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_375])]) ).
fof(f18844,plain,
( p2(sK26(sK9(sK28)))
| ~ spl41_4
| spl41_89
| ~ spl41_374
| ~ spl41_376
| ~ spl41_377 ),
inference(resolution,[],[f18324,f2623]) ).
fof(f2623,plain,
( r1(sK25(sK9(sK28)),sK26(sK9(sK28)))
| ~ spl41_374 ),
inference(avatar_component_clause,[],[f2621]) ).
fof(f2621,plain,
( spl41_374
<=> r1(sK25(sK9(sK28)),sK26(sK9(sK28))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_374])]) ).
fof(f18324,plain,
( ! [X0] :
( ~ r1(sK25(sK9(sK28)),X0)
| p2(X0) )
| ~ spl41_4
| spl41_89
| ~ spl41_376
| ~ spl41_377 ),
inference(subsumption_resolution,[],[f18323,f680]) ).
fof(f680,plain,
( ~ sP1(sK28)
| spl41_89 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f679,plain,
( spl41_89
<=> sP1(sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_89])]) ).
fof(f18323,plain,
( ! [X0] :
( ~ r1(sK25(sK9(sK28)),X0)
| sP1(sK28)
| p2(X0) )
| ~ spl41_4
| ~ spl41_376
| ~ spl41_377 ),
inference(subsumption_resolution,[],[f18322,f160]) ).
fof(f160,plain,
( sP6(sK28)
| ~ spl41_4 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f158,plain,
( spl41_4
<=> sP6(sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_4])]) ).
fof(f18322,plain,
( ! [X0] :
( sP1(sK28)
| ~ sP6(sK28)
| p2(X0)
| ~ r1(sK25(sK9(sK28)),X0) )
| ~ spl41_376
| ~ spl41_377 ),
inference(subsumption_resolution,[],[f18288,f2635]) ).
fof(f2635,plain,
( p2(sK25(sK9(sK28)))
| ~ spl41_376 ),
inference(avatar_component_clause,[],[f2633]) ).
fof(f2633,plain,
( spl41_376
<=> p2(sK25(sK9(sK28))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_376])]) ).
fof(f18288,plain,
( ! [X0] :
( ~ p2(sK25(sK9(sK28)))
| ~ r1(sK25(sK9(sK28)),X0)
| p2(X0)
| sP1(sK28)
| ~ sP6(sK28) )
| ~ spl41_377 ),
inference(resolution,[],[f2641,f76]) ).
fof(f76,plain,
! [X0,X4,X5] :
( ~ r1(sK9(X0),X4)
| p2(X5)
| sP1(X0)
| ~ r1(X4,X5)
| ~ sP6(X0)
| ~ p2(X4) ),
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)) ) )
& ( sP1(X0)
| ( ! [X4] :
( ! [X5] :
( p2(X5)
| ~ r1(X4,X5) )
| ~ r1(sK9(X0),X4)
| ~ p2(X4) )
& r1(X0,sK9(X0))
& ~ p2(sK9(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] :
( ! [X4] :
( ! [X5] :
( p2(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4)
| ~ p2(X4) )
& r1(X0,X3)
& ~ p2(X3) )
=> ( ! [X4] :
( ! [X5] :
( p2(X5)
| ~ r1(X4,X5) )
| ~ r1(sK9(X0),X4)
| ~ p2(X4) )
& r1(X0,sK9(X0))
& ~ p2(sK9(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
! [X0] :
( ( ( p2(X0)
| ? [X1] :
( r1(X0,X1)
& ? [X2] :
( r1(X1,X2)
& ~ p2(X2) )
& p2(X1) ) )
& ( sP1(X0)
| ? [X3] :
( ! [X4] :
( ! [X5] :
( p2(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4)
| ~ p2(X4) )
& r1(X0,X3)
& ~ p2(X3) ) ) )
| ~ sP6(X0) ),
inference(rectify,[],[f16]) ).
fof(f16,plain,
! [X0] :
( ( ( p2(X0)
| ? [X14] :
( r1(X0,X14)
& ? [X15] :
( r1(X14,X15)
& ~ p2(X15) )
& p2(X14) ) )
& ( sP1(X0)
| ? [X7] :
( ! [X8] :
( ! [X9] :
( p2(X9)
| ~ r1(X8,X9) )
| ~ r1(X7,X8)
| ~ p2(X8) )
& r1(X0,X7)
& ~ p2(X7) ) ) )
| ~ sP6(X0) ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0] :
( ( ( p2(X0)
| ? [X14] :
( r1(X0,X14)
& ? [X15] :
( r1(X14,X15)
& ~ p2(X15) )
& p2(X14) ) )
& ( sP1(X0)
| ? [X7] :
( ! [X8] :
( ! [X9] :
( p2(X9)
| ~ r1(X8,X9) )
| ~ r1(X7,X8)
| ~ p2(X8) )
& r1(X0,X7)
& ~ p2(X7) ) ) )
| ~ sP6(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f2641,plain,
( r1(sK9(sK28),sK25(sK9(sK28)))
| ~ spl41_377 ),
inference(avatar_component_clause,[],[f2639]) ).
fof(f2639,plain,
( spl41_377
<=> r1(sK9(sK28),sK25(sK9(sK28))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_377])]) ).
fof(f17950,plain,
( ~ spl41_9
| spl41_376
| ~ spl41_90
| spl41_370 ),
inference(avatar_split_clause,[],[f17949,f2600,f683,f2633,f178]) ).
fof(f683,plain,
( spl41_90
<=> r1(sK28,sK9(sK28)) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_90])]) ).
fof(f2600,plain,
( spl41_370
<=> p2(sK9(sK28)) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_370])]) ).
fof(f17949,plain,
( p2(sK25(sK9(sK28)))
| ~ sP0(sK28)
| ~ spl41_90
| spl41_370 ),
inference(subsumption_resolution,[],[f17819,f2601]) ).
fof(f2601,plain,
( ~ p2(sK9(sK28))
| spl41_370 ),
inference(avatar_component_clause,[],[f2600]) ).
fof(f17819,plain,
( p2(sK25(sK9(sK28)))
| p2(sK9(sK28))
| ~ sP0(sK28)
| ~ spl41_90 ),
inference(resolution,[],[f685,f114]) ).
fof(f685,plain,
( r1(sK28,sK9(sK28))
| ~ spl41_90 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f17936,plain,
( spl41_377
| ~ spl41_9
| ~ spl41_90
| spl41_370 ),
inference(avatar_split_clause,[],[f17935,f2600,f683,f178,f2639]) ).
fof(f17935,plain,
( ~ sP0(sK28)
| r1(sK9(sK28),sK25(sK9(sK28)))
| ~ spl41_90
| spl41_370 ),
inference(subsumption_resolution,[],[f17822,f2601]) ).
fof(f17822,plain,
( ~ sP0(sK28)
| r1(sK9(sK28),sK25(sK9(sK28)))
| p2(sK9(sK28))
| ~ spl41_90 ),
inference(resolution,[],[f685,f117]) ).
fof(f17928,plain,
( spl41_372
| ~ spl41_791
| ~ spl41_2598 ),
inference(avatar_contradiction_clause,[],[f17927]) ).
fof(f17927,plain,
( $false
| spl41_372
| ~ spl41_791
| ~ spl41_2598 ),
inference(subsumption_resolution,[],[f17925,f2612]) ).
fof(f2612,plain,
( ~ p2(sK36(sK9(sK28)))
| spl41_372 ),
inference(avatar_component_clause,[],[f2610]) ).
fof(f2610,plain,
( spl41_372
<=> p2(sK36(sK9(sK28))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_372])]) ).
fof(f17925,plain,
( p2(sK36(sK9(sK28)))
| ~ spl41_791
| ~ spl41_2598 ),
inference(resolution,[],[f17778,f5742]) ).
fof(f5742,plain,
( r1(sK35(sK9(sK28)),sK36(sK9(sK28)))
| ~ spl41_791 ),
inference(avatar_component_clause,[],[f5740]) ).
fof(f5740,plain,
( spl41_791
<=> r1(sK35(sK9(sK28)),sK36(sK9(sK28))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_791])]) ).
fof(f17778,plain,
( ! [X0] :
( ~ r1(sK35(sK9(sK28)),X0)
| p2(X0) )
| ~ spl41_2598 ),
inference(avatar_component_clause,[],[f17777]) ).
fof(f17777,plain,
( spl41_2598
<=> ! [X0] :
( ~ r1(sK35(sK9(sK28)),X0)
| p2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_2598])]) ).
fof(f17779,plain,
( ~ spl41_4
| spl41_2598
| spl41_89
| ~ spl41_790
| ~ spl41_792 ),
inference(avatar_split_clause,[],[f17775,f5745,f5735,f679,f17777,f158]) ).
fof(f5735,plain,
( spl41_790
<=> p2(sK35(sK9(sK28))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_790])]) ).
fof(f5745,plain,
( spl41_792
<=> r1(sK9(sK28),sK35(sK9(sK28))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_792])]) ).
fof(f17775,plain,
( ! [X0] :
( ~ r1(sK35(sK9(sK28)),X0)
| p2(X0)
| ~ sP6(sK28) )
| spl41_89
| ~ spl41_790
| ~ spl41_792 ),
inference(subsumption_resolution,[],[f17774,f5737]) ).
fof(f5737,plain,
( p2(sK35(sK9(sK28)))
| ~ spl41_790 ),
inference(avatar_component_clause,[],[f5735]) ).
fof(f17774,plain,
( ! [X0] :
( ~ p2(sK35(sK9(sK28)))
| ~ sP6(sK28)
| ~ r1(sK35(sK9(sK28)),X0)
| p2(X0) )
| spl41_89
| ~ spl41_792 ),
inference(subsumption_resolution,[],[f7856,f680]) ).
fof(f7856,plain,
( ! [X0] :
( ~ sP6(sK28)
| ~ r1(sK35(sK9(sK28)),X0)
| p2(X0)
| sP1(sK28)
| ~ p2(sK35(sK9(sK28))) )
| ~ spl41_792 ),
inference(resolution,[],[f5747,f76]) ).
fof(f5747,plain,
( r1(sK9(sK28),sK35(sK9(sK28)))
| ~ spl41_792 ),
inference(avatar_component_clause,[],[f5745]) ).
fof(f12664,plain,
( ~ spl41_11
| ~ spl41_948
| ~ spl41_960
| ~ spl41_970
| spl41_1465 ),
inference(avatar_contradiction_clause,[],[f12663]) ).
fof(f12663,plain,
( $false
| ~ spl41_11
| ~ spl41_948
| ~ spl41_960
| ~ spl41_970
| spl41_1465 ),
inference(subsumption_resolution,[],[f12661,f10432]) ).
fof(f10432,plain,
( ~ p2(sK16(sK22(sK29)))
| spl41_1465 ),
inference(avatar_component_clause,[],[f10431]) ).
fof(f10431,plain,
( spl41_1465
<=> p2(sK16(sK22(sK29))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_1465])]) ).
fof(f12661,plain,
( p2(sK16(sK22(sK29)))
| ~ spl41_11
| ~ spl41_948
| ~ spl41_960
| ~ spl41_970 ),
inference(resolution,[],[f10392,f6970]) ).
fof(f6970,plain,
( r1(sK15(sK22(sK29)),sK16(sK22(sK29)))
| ~ spl41_948 ),
inference(avatar_component_clause,[],[f6968]) ).
fof(f6968,plain,
( spl41_948
<=> r1(sK15(sK22(sK29)),sK16(sK22(sK29))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_948])]) ).
fof(f10392,plain,
( ! [X0] :
( ~ r1(sK15(sK22(sK29)),X0)
| p2(X0) )
| ~ spl41_11
| ~ spl41_960
| ~ spl41_970 ),
inference(subsumption_resolution,[],[f10391,f7026]) ).
fof(f7026,plain,
( p2(sK15(sK22(sK29)))
| ~ spl41_960 ),
inference(avatar_component_clause,[],[f7024]) ).
fof(f7024,plain,
( spl41_960
<=> p2(sK15(sK22(sK29))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_960])]) ).
fof(f10391,plain,
( ! [X0] :
( ~ r1(sK15(sK22(sK29)),X0)
| p2(X0)
| ~ p2(sK15(sK22(sK29))) )
| ~ spl41_11
| ~ spl41_970 ),
inference(subsumption_resolution,[],[f10357,f189]) ).
fof(f10357,plain,
( ! [X0] :
( ~ p2(sK15(sK22(sK29)))
| ~ sP2(sK29)
| ~ r1(sK15(sK22(sK29)),X0)
| p2(X0) )
| ~ spl41_970 ),
inference(resolution,[],[f7080,f100]) ).
fof(f100,plain,
! [X0,X6,X7] :
( ~ r1(sK22(X0),X6)
| ~ r1(X6,X7)
| ~ p2(X6)
| p2(X7)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f7080,plain,
( r1(sK22(sK29),sK15(sK22(sK29)))
| ~ spl41_970 ),
inference(avatar_component_clause,[],[f7078]) ).
fof(f7078,plain,
( spl41_970
<=> r1(sK22(sK29),sK15(sK22(sK29))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_970])]) ).
fof(f11164,plain,
( ~ spl41_11
| ~ spl41_927
| spl41_944
| ~ spl41_1465 ),
inference(avatar_contradiction_clause,[],[f11163]) ).
fof(f11163,plain,
( $false
| ~ spl41_11
| ~ spl41_927
| spl41_944
| ~ spl41_1465 ),
inference(subsumption_resolution,[],[f11162,f6770]) ).
fof(f6770,plain,
( sP4(sK21(sK29))
| ~ spl41_927 ),
inference(avatar_component_clause,[],[f6768]) ).
fof(f11162,plain,
( ~ sP4(sK21(sK29))
| ~ spl41_11
| spl41_944
| ~ spl41_1465 ),
inference(resolution,[],[f10825,f6647]) ).
fof(f6647,plain,
( r1(sK21(sK29),sK22(sK29))
| ~ spl41_11 ),
inference(resolution,[],[f189,f101]) ).
fof(f101,plain,
! [X0] :
( ~ sP2(X0)
| r1(sK21(X0),sK22(X0)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f10825,plain,
( ! [X0] :
( ~ r1(X0,sK22(sK29))
| ~ sP4(X0) )
| spl41_944
| ~ spl41_1465 ),
inference(subsumption_resolution,[],[f10824,f6950]) ).
fof(f6950,plain,
( ~ p2(sK22(sK29))
| spl41_944 ),
inference(avatar_component_clause,[],[f6949]) ).
fof(f6949,plain,
( spl41_944
<=> p2(sK22(sK29)) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_944])]) ).
fof(f10824,plain,
( ! [X0] :
( ~ sP4(X0)
| p2(sK22(sK29))
| ~ r1(X0,sK22(sK29)) )
| ~ spl41_1465 ),
inference(resolution,[],[f10433,f89]) ).
fof(f89,plain,
! [X0,X5] :
( ~ p2(sK16(X5))
| ~ r1(X0,X5)
| ~ sP4(X0)
| p2(X5) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0] :
( ( ! [X3] :
( ~ r1(sK14(X0),X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ p2(X3) )
& ~ p2(sK14(X0))
& r1(sK13(X0),sK14(X0))
& r1(X0,sK13(X0))
& ! [X5] :
( ~ r1(X0,X5)
| ( p2(sK15(X5))
& r1(X5,sK15(X5))
& ~ p2(sK16(X5))
& r1(sK15(X5),sK16(X5)) )
| p2(X5) ) )
| ~ sP4(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16])],[f29,f33,f32,f31,f30]) ).
fof(f30,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ p2(X3) )
& ~ p2(X2)
& r1(X1,X2) )
& r1(X0,X1) )
=> ( ? [X2] :
( ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ p2(X3) )
& ~ p2(X2)
& r1(sK13(X0),X2) )
& r1(X0,sK13(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
! [X0] :
( ? [X2] :
( ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ p2(X3) )
& ~ p2(X2)
& r1(sK13(X0),X2) )
=> ( ! [X3] :
( ~ r1(sK14(X0),X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ p2(X3) )
& ~ p2(sK14(X0))
& r1(sK13(X0),sK14(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
! [X5] :
( ? [X6] :
( p2(X6)
& r1(X5,X6)
& ? [X7] :
( ~ p2(X7)
& r1(X6,X7) ) )
=> ( p2(sK15(X5))
& r1(X5,sK15(X5))
& ? [X7] :
( ~ p2(X7)
& r1(sK15(X5),X7) ) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
! [X5] :
( ? [X7] :
( ~ p2(X7)
& r1(sK15(X5),X7) )
=> ( ~ p2(sK16(X5))
& r1(sK15(X5),sK16(X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
! [X0] :
( ( ? [X1] :
( ? [X2] :
( ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ p2(X3) )
& ~ p2(X2)
& r1(X1,X2) )
& r1(X0,X1) )
& ! [X5] :
( ~ r1(X0,X5)
| ? [X6] :
( p2(X6)
& r1(X5,X6)
& ? [X7] :
( ~ p2(X7)
& r1(X6,X7) ) )
| p2(X5) ) )
| ~ sP4(X0) ),
inference(rectify,[],[f28]) ).
fof(f28,plain,
! [X26] :
( ( ? [X42] :
( ? [X43] :
( ! [X44] :
( ~ r1(X43,X44)
| ! [X45] :
( ~ r1(X44,X45)
| p2(X45) )
| ~ p2(X44) )
& ~ p2(X43)
& r1(X42,X43) )
& r1(X26,X42) )
& ! [X39] :
( ~ r1(X26,X39)
| ? [X40] :
( p2(X40)
& r1(X39,X40)
& ? [X41] :
( ~ p2(X41)
& r1(X40,X41) ) )
| p2(X39) ) )
| ~ sP4(X26) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X26] :
( ( ? [X42] :
( ? [X43] :
( ! [X44] :
( ~ r1(X43,X44)
| ! [X45] :
( ~ r1(X44,X45)
| p2(X45) )
| ~ p2(X44) )
& ~ p2(X43)
& r1(X42,X43) )
& r1(X26,X42) )
& ! [X39] :
( ~ r1(X26,X39)
| ? [X40] :
( p2(X40)
& r1(X39,X40)
& ? [X41] :
( ~ p2(X41)
& r1(X40,X41) ) )
| p2(X39) ) )
| ~ sP4(X26) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f10433,plain,
( p2(sK16(sK22(sK29)))
| ~ spl41_1465 ),
inference(avatar_component_clause,[],[f10431]) ).
fof(f10314,plain,
( ~ spl41_11
| ~ spl41_928
| spl41_944
| ~ spl41_973 ),
inference(avatar_contradiction_clause,[],[f10313]) ).
fof(f10313,plain,
( $false
| ~ spl41_11
| ~ spl41_928
| spl41_944
| ~ spl41_973 ),
inference(subsumption_resolution,[],[f10311,f7111]) ).
fof(f7111,plain,
( ~ p2(sK11(sK22(sK29)))
| ~ spl41_11
| ~ spl41_928
| spl41_944 ),
inference(subsumption_resolution,[],[f7110,f6774]) ).
fof(f6774,plain,
( sP5(sK21(sK29))
| ~ spl41_928 ),
inference(avatar_component_clause,[],[f6772]) ).
fof(f7110,plain,
( ~ p2(sK11(sK22(sK29)))
| ~ sP5(sK21(sK29))
| ~ spl41_11
| spl41_944 ),
inference(subsumption_resolution,[],[f6906,f6950]) ).
fof(f6906,plain,
( ~ p2(sK11(sK22(sK29)))
| p2(sK22(sK29))
| ~ sP5(sK21(sK29))
| ~ spl41_11 ),
inference(resolution,[],[f6647,f86]) ).
fof(f86,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ sP5(X0)
| ~ p2(sK11(X1)) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ( p2(X1)
| ( p2(sK10(X1))
& ~ p2(sK11(X1))
& r1(sK10(X1),sK11(X1))
& r1(X1,sK10(X1)) ) )
& ( ( r1(X1,sK12(X1))
& ! [X5] :
( ! [X6] :
( p2(X6)
| ~ r1(X5,X6) )
| ~ p2(X5)
| ~ r1(sK12(X1),X5) )
& ~ p2(sK12(X1)) )
| sP3(X1) ) ) )
| ~ sP5(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f23,f26,f25,f24]) ).
fof(f24,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK10(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK10(X1),X3) )
& r1(X1,sK10(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK10(X1),X3) )
=> ( ~ p2(sK11(X1))
& r1(sK10(X1),sK11(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
! [X1] :
( ? [X4] :
( r1(X1,X4)
& ! [X5] :
( ! [X6] :
( p2(X6)
| ~ r1(X5,X6) )
| ~ p2(X5)
| ~ r1(X4,X5) )
& ~ p2(X4) )
=> ( r1(X1,sK12(X1))
& ! [X5] :
( ! [X6] :
( p2(X6)
| ~ r1(X5,X6) )
| ~ p2(X5)
| ~ r1(sK12(X1),X5) )
& ~ p2(sK12(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ( p2(X1)
| ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) ) )
& ( ? [X4] :
( r1(X1,X4)
& ! [X5] :
( ! [X6] :
( p2(X6)
| ~ r1(X5,X6) )
| ~ p2(X5)
| ~ r1(X4,X5) )
& ~ p2(X4) )
| sP3(X1) ) ) )
| ~ sP5(X0) ),
inference(rectify,[],[f22]) ).
fof(f22,plain,
! [X26] :
( ! [X27] :
( ~ r1(X26,X27)
| ( ( p2(X27)
| ? [X35] :
( p2(X35)
& ? [X36] :
( ~ p2(X36)
& r1(X35,X36) )
& r1(X27,X35) ) )
& ( ? [X28] :
( r1(X27,X28)
& ! [X29] :
( ! [X30] :
( p2(X30)
| ~ r1(X29,X30) )
| ~ p2(X29)
| ~ r1(X28,X29) )
& ~ p2(X28) )
| sP3(X27) ) ) )
| ~ sP5(X26) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X26] :
( ! [X27] :
( ~ r1(X26,X27)
| ( ( p2(X27)
| ? [X35] :
( p2(X35)
& ? [X36] :
( ~ p2(X36)
& r1(X35,X36) )
& r1(X27,X35) ) )
& ( ? [X28] :
( r1(X27,X28)
& ! [X29] :
( ! [X30] :
( p2(X30)
| ~ r1(X29,X30) )
| ~ p2(X29)
| ~ r1(X28,X29) )
& ~ p2(X28) )
| sP3(X27) ) ) )
| ~ sP5(X26) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f10311,plain,
( p2(sK11(sK22(sK29)))
| ~ spl41_11
| ~ spl41_928
| spl41_944
| ~ spl41_973 ),
inference(resolution,[],[f8673,f7113]) ).
fof(f7113,plain,
( r1(sK10(sK22(sK29)),sK11(sK22(sK29)))
| ~ spl41_11
| ~ spl41_928
| spl41_944 ),
inference(subsumption_resolution,[],[f7112,f6774]) ).
fof(f7112,plain,
( r1(sK10(sK22(sK29)),sK11(sK22(sK29)))
| ~ sP5(sK21(sK29))
| ~ spl41_11
| spl41_944 ),
inference(subsumption_resolution,[],[f6905,f6950]) ).
fof(f6905,plain,
( p2(sK22(sK29))
| r1(sK10(sK22(sK29)),sK11(sK22(sK29)))
| ~ sP5(sK21(sK29))
| ~ spl41_11 ),
inference(resolution,[],[f6647,f85]) ).
fof(f85,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| r1(sK10(X1),sK11(X1))
| ~ sP5(X0)
| p2(X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f8673,plain,
( ! [X0] :
( ~ r1(sK10(sK22(sK29)),X0)
| p2(X0) )
| ~ spl41_11
| ~ spl41_928
| spl41_944
| ~ spl41_973 ),
inference(subsumption_resolution,[],[f8672,f189]) ).
fof(f8672,plain,
( ! [X0] :
( ~ r1(sK10(sK22(sK29)),X0)
| ~ sP2(sK29)
| p2(X0) )
| ~ spl41_11
| ~ spl41_928
| spl41_944
| ~ spl41_973 ),
inference(subsumption_resolution,[],[f8638,f7109]) ).
fof(f7109,plain,
( p2(sK10(sK22(sK29)))
| ~ spl41_11
| ~ spl41_928
| spl41_944 ),
inference(subsumption_resolution,[],[f7108,f6950]) ).
fof(f7108,plain,
( p2(sK10(sK22(sK29)))
| p2(sK22(sK29))
| ~ spl41_11
| ~ spl41_928 ),
inference(subsumption_resolution,[],[f6907,f6774]) ).
fof(f6907,plain,
( p2(sK22(sK29))
| p2(sK10(sK22(sK29)))
| ~ sP5(sK21(sK29))
| ~ spl41_11 ),
inference(resolution,[],[f6647,f87]) ).
fof(f87,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| p2(sK10(X1))
| p2(X1)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f8638,plain,
( ! [X0] :
( ~ sP2(sK29)
| ~ r1(sK10(sK22(sK29)),X0)
| ~ p2(sK10(sK22(sK29)))
| p2(X0) )
| ~ spl41_973 ),
inference(resolution,[],[f7102,f100]) ).
fof(f7102,plain,
( r1(sK22(sK29),sK10(sK22(sK29)))
| ~ spl41_973 ),
inference(avatar_component_clause,[],[f7100]) ).
fof(f7100,plain,
( spl41_973
<=> r1(sK22(sK29),sK10(sK22(sK29))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_973])]) ).
fof(f7107,plain,
( ~ spl41_927
| spl41_948
| ~ spl41_11
| spl41_944 ),
inference(avatar_split_clause,[],[f7106,f6949,f187,f6968,f6768]) ).
fof(f7106,plain,
( r1(sK15(sK22(sK29)),sK16(sK22(sK29)))
| ~ sP4(sK21(sK29))
| ~ spl41_11
| spl41_944 ),
inference(subsumption_resolution,[],[f6908,f6950]) ).
fof(f6908,plain,
( r1(sK15(sK22(sK29)),sK16(sK22(sK29)))
| p2(sK22(sK29))
| ~ sP4(sK21(sK29))
| ~ spl41_11 ),
inference(resolution,[],[f6647,f88]) ).
fof(f88,plain,
! [X0,X5] :
( ~ r1(X0,X5)
| p2(X5)
| r1(sK15(X5),sK16(X5))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f7105,plain,
( ~ spl41_927
| spl41_970
| ~ spl41_11
| spl41_944 ),
inference(avatar_split_clause,[],[f7104,f6949,f187,f7078,f6768]) ).
fof(f7104,plain,
( r1(sK22(sK29),sK15(sK22(sK29)))
| ~ sP4(sK21(sK29))
| ~ spl41_11
| spl41_944 ),
inference(subsumption_resolution,[],[f6909,f6950]) ).
fof(f6909,plain,
( ~ sP4(sK21(sK29))
| p2(sK22(sK29))
| r1(sK22(sK29),sK15(sK22(sK29)))
| ~ spl41_11 ),
inference(resolution,[],[f6647,f90]) ).
fof(f90,plain,
! [X0,X5] :
( ~ r1(X0,X5)
| ~ sP4(X0)
| p2(X5)
| r1(X5,sK15(X5)) ),
inference(cnf_transformation,[],[f34]) ).
fof(f7103,plain,
( spl41_973
| ~ spl41_928
| ~ spl41_11
| spl41_944 ),
inference(avatar_split_clause,[],[f7098,f6949,f187,f6772,f7100]) ).
fof(f7098,plain,
( ~ sP5(sK21(sK29))
| r1(sK22(sK29),sK10(sK22(sK29)))
| ~ spl41_11
| spl41_944 ),
inference(subsumption_resolution,[],[f6904,f6950]) ).
fof(f6904,plain,
( p2(sK22(sK29))
| r1(sK22(sK29),sK10(sK22(sK29)))
| ~ sP5(sK21(sK29))
| ~ spl41_11 ),
inference(resolution,[],[f6647,f84]) ).
fof(f84,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| r1(X1,sK10(X1))
| ~ sP5(X0)
| p2(X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f7088,plain,
( spl41_960
| ~ spl41_927
| ~ spl41_11
| spl41_944 ),
inference(avatar_split_clause,[],[f7087,f6949,f187,f6768,f7024]) ).
fof(f7087,plain,
( ~ sP4(sK21(sK29))
| p2(sK15(sK22(sK29)))
| ~ spl41_11
| spl41_944 ),
inference(subsumption_resolution,[],[f6910,f6950]) ).
fof(f6910,plain,
( p2(sK15(sK22(sK29)))
| ~ sP4(sK21(sK29))
| p2(sK22(sK29))
| ~ spl41_11 ),
inference(resolution,[],[f6647,f91]) ).
fof(f91,plain,
! [X0,X5] :
( ~ r1(X0,X5)
| ~ sP4(X0)
| p2(sK15(X5))
| p2(X5) ),
inference(cnf_transformation,[],[f34]) ).
fof(f7084,plain,
( ~ spl41_11
| ~ spl41_944 ),
inference(avatar_contradiction_clause,[],[f7083]) ).
fof(f7083,plain,
( $false
| ~ spl41_11
| ~ spl41_944 ),
inference(subsumption_resolution,[],[f7082,f189]) ).
fof(f7082,plain,
( ~ sP2(sK29)
| ~ spl41_944 ),
inference(resolution,[],[f6951,f102]) ).
fof(f102,plain,
! [X0] :
( ~ p2(sK22(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f6951,plain,
( p2(sK22(sK29))
| ~ spl41_944 ),
inference(avatar_component_clause,[],[f6949]) ).
fof(f6775,plain,
( spl41_927
| spl41_928
| ~ spl41_918
| ~ spl41_6
| ~ spl41_11 ),
inference(avatar_split_clause,[],[f6678,f187,f167,f6715,f6772,f6768]) ).
fof(f6715,plain,
( spl41_918
<=> p2(sK21(sK29)) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_918])]) ).
fof(f167,plain,
( spl41_6
<=> ! [X2] :
( ~ r1(sK29,X2)
| sP5(X2)
| sP4(X2)
| ~ p2(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_6])]) ).
fof(f6678,plain,
( ~ p2(sK21(sK29))
| sP5(sK21(sK29))
| sP4(sK21(sK29))
| ~ spl41_6
| ~ spl41_11 ),
inference(resolution,[],[f6648,f168]) ).
fof(f168,plain,
( ! [X2] :
( ~ r1(sK29,X2)
| sP5(X2)
| ~ p2(X2)
| sP4(X2) )
| ~ spl41_6 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f6752,plain,
( spl41_924
| spl41_918
| ~ spl41_11 ),
inference(avatar_split_clause,[],[f6747,f187,f6715,f6749]) ).
fof(f6747,plain,
( p2(sK21(sK29))
| r1(sK19(sK21(sK29)),sK20(sK21(sK29)))
| ~ spl41_11 ),
inference(subsumption_resolution,[],[f6692,f189]) ).
fof(f6692,plain,
( ~ sP2(sK29)
| p2(sK21(sK29))
| r1(sK19(sK21(sK29)),sK20(sK21(sK29)))
| ~ spl41_11 ),
inference(resolution,[],[f6648,f104]) ).
fof(f104,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| ~ sP2(X0)
| p2(X1)
| r1(sK19(X1),sK20(X1)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f6746,plain,
( ~ spl41_923
| spl41_918
| ~ spl41_11 ),
inference(avatar_split_clause,[],[f6741,f187,f6715,f6743]) ).
fof(f6741,plain,
( p2(sK21(sK29))
| ~ p2(sK20(sK21(sK29)))
| ~ spl41_11 ),
inference(subsumption_resolution,[],[f6693,f189]) ).
fof(f6693,plain,
( p2(sK21(sK29))
| ~ sP2(sK29)
| ~ p2(sK20(sK21(sK29)))
| ~ spl41_11 ),
inference(resolution,[],[f6648,f105]) ).
fof(f105,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| ~ p2(sK20(X1))
| ~ sP2(X0)
| p2(X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f6740,plain,
( spl41_922
| spl41_918
| ~ spl41_11 ),
inference(avatar_split_clause,[],[f6735,f187,f6715,f6737]) ).
fof(f6735,plain,
( p2(sK21(sK29))
| r1(sK21(sK29),sK19(sK21(sK29)))
| ~ spl41_11 ),
inference(subsumption_resolution,[],[f6694,f189]) ).
fof(f6694,plain,
( ~ sP2(sK29)
| p2(sK21(sK29))
| r1(sK21(sK29),sK19(sK21(sK29)))
| ~ spl41_11 ),
inference(resolution,[],[f6648,f106]) ).
fof(f106,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| r1(X1,sK19(X1))
| ~ sP2(X0)
| p2(X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f6722,plain,
( spl41_918
| spl41_919
| ~ spl41_11 ),
inference(avatar_split_clause,[],[f6713,f187,f6719,f6715]) ).
fof(f6713,plain,
( p2(sK19(sK21(sK29)))
| p2(sK21(sK29))
| ~ spl41_11 ),
inference(subsumption_resolution,[],[f6695,f189]) ).
fof(f6695,plain,
( p2(sK21(sK29))
| p2(sK19(sK21(sK29)))
| ~ sP2(sK29)
| ~ spl41_11 ),
inference(resolution,[],[f6648,f107]) ).
fof(f107,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| ~ sP2(X0)
| p2(X1)
| p2(sK19(X1)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f6458,plain,
( ~ spl41_1
| ~ spl41_3
| ~ spl41_5
| ~ spl41_7
| spl41_10
| ~ spl41_14
| ~ spl41_16 ),
inference(avatar_contradiction_clause,[],[f6457]) ).
fof(f6457,plain,
( $false
| ~ spl41_1
| ~ spl41_3
| ~ spl41_5
| ~ spl41_7
| spl41_10
| ~ spl41_14
| ~ spl41_16 ),
inference(subsumption_resolution,[],[f6456,f6030]) ).
fof(f6030,plain,
( p2(sK35(sK29))
| ~ spl41_3
| ~ spl41_5
| spl41_10 ),
inference(subsumption_resolution,[],[f5989,f185]) ).
fof(f185,plain,
( ~ p2(sK29)
| spl41_10 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f5989,plain,
( p2(sK29)
| p2(sK35(sK29))
| ~ spl41_3
| ~ spl41_5 ),
inference(resolution,[],[f156,f164]) ).
fof(f164,plain,
( ! [X16] :
( ~ r1(sK28,X16)
| p2(sK35(X16))
| p2(X16) )
| ~ spl41_5 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f163,plain,
( spl41_5
<=> ! [X16] :
( ~ r1(sK28,X16)
| p2(sK35(X16))
| p2(X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_5])]) ).
fof(f6456,plain,
( ~ p2(sK35(sK29))
| ~ spl41_1
| ~ spl41_3
| ~ spl41_7
| spl41_10
| ~ spl41_14
| ~ spl41_16 ),
inference(subsumption_resolution,[],[f6455,f6027]) ).
fof(f6027,plain,
( ~ p2(sK36(sK29))
| ~ spl41_3
| spl41_10
| ~ spl41_14 ),
inference(subsumption_resolution,[],[f5993,f185]) ).
fof(f5993,plain,
( p2(sK29)
| ~ p2(sK36(sK29))
| ~ spl41_3
| ~ spl41_14 ),
inference(resolution,[],[f156,f202]) ).
fof(f202,plain,
( ! [X16] :
( ~ r1(sK28,X16)
| p2(X16)
| ~ p2(sK36(X16)) )
| ~ spl41_14 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f201,plain,
( spl41_14
<=> ! [X16] :
( ~ p2(sK36(X16))
| p2(X16)
| ~ r1(sK28,X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_14])]) ).
fof(f6455,plain,
( p2(sK36(sK29))
| ~ p2(sK35(sK29))
| ~ spl41_1
| ~ spl41_3
| ~ spl41_7
| spl41_10
| ~ spl41_16 ),
inference(subsumption_resolution,[],[f6424,f6028]) ).
fof(f6028,plain,
( r1(sK29,sK35(sK29))
| ~ spl41_1
| ~ spl41_3
| spl41_10 ),
inference(subsumption_resolution,[],[f5988,f185]) ).
fof(f5988,plain,
( r1(sK29,sK35(sK29))
| p2(sK29)
| ~ spl41_1
| ~ spl41_3 ),
inference(resolution,[],[f156,f148]) ).
fof(f148,plain,
( ! [X16] :
( ~ r1(sK28,X16)
| r1(X16,sK35(X16))
| p2(X16) )
| ~ spl41_1 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f147,plain,
( spl41_1
<=> ! [X16] :
( r1(X16,sK35(X16))
| ~ r1(sK28,X16)
| p2(X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_1])]) ).
fof(f6424,plain,
( ~ r1(sK29,sK35(sK29))
| ~ p2(sK35(sK29))
| p2(sK36(sK29))
| ~ spl41_3
| ~ spl41_7
| spl41_10
| ~ spl41_16 ),
inference(resolution,[],[f6031,f210]) ).
fof(f6031,plain,
( r1(sK35(sK29),sK36(sK29))
| ~ spl41_3
| ~ spl41_7
| spl41_10 ),
inference(subsumption_resolution,[],[f5990,f185]) ).
fof(f5990,plain,
( p2(sK29)
| r1(sK35(sK29),sK36(sK29))
| ~ spl41_3
| ~ spl41_7 ),
inference(resolution,[],[f156,f172]) ).
fof(f172,plain,
( ! [X16] :
( ~ r1(sK28,X16)
| p2(X16)
| r1(sK35(X16),sK36(X16)) )
| ~ spl41_7 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f171,plain,
( spl41_7
<=> ! [X16] :
( p2(X16)
| ~ r1(sK28,X16)
| r1(sK35(X16),sK36(X16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_7])]) ).
fof(f5979,plain,
( ~ spl41_4
| spl41_89
| ~ spl41_370 ),
inference(avatar_contradiction_clause,[],[f5978]) ).
fof(f5978,plain,
( $false
| ~ spl41_4
| spl41_89
| ~ spl41_370 ),
inference(subsumption_resolution,[],[f5977,f160]) ).
fof(f5977,plain,
( ~ sP6(sK28)
| spl41_89
| ~ spl41_370 ),
inference(subsumption_resolution,[],[f5976,f680]) ).
fof(f5976,plain,
( sP1(sK28)
| ~ sP6(sK28)
| ~ spl41_370 ),
inference(resolution,[],[f2602,f74]) ).
fof(f74,plain,
! [X0] :
( ~ p2(sK9(X0))
| ~ sP6(X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f2602,plain,
( p2(sK9(sK28))
| ~ spl41_370 ),
inference(avatar_component_clause,[],[f2600]) ).
fof(f5748,plain,
( spl41_370
| spl41_792
| ~ spl41_1
| ~ spl41_90 ),
inference(avatar_split_clause,[],[f5695,f683,f147,f5745,f2600]) ).
fof(f5695,plain,
( r1(sK9(sK28),sK35(sK9(sK28)))
| p2(sK9(sK28))
| ~ spl41_1
| ~ spl41_90 ),
inference(resolution,[],[f685,f148]) ).
fof(f5743,plain,
( spl41_791
| spl41_370
| ~ spl41_7
| ~ spl41_90 ),
inference(avatar_split_clause,[],[f5697,f683,f171,f2600,f5740]) ).
fof(f5697,plain,
( p2(sK9(sK28))
| r1(sK35(sK9(sK28)),sK36(sK9(sK28)))
| ~ spl41_7
| ~ spl41_90 ),
inference(resolution,[],[f685,f172]) ).
fof(f5738,plain,
( spl41_790
| spl41_370
| ~ spl41_5
| ~ spl41_90 ),
inference(avatar_split_clause,[],[f5696,f683,f163,f2600,f5735]) ).
fof(f5696,plain,
( p2(sK9(sK28))
| p2(sK35(sK9(sK28)))
| ~ spl41_5
| ~ spl41_90 ),
inference(resolution,[],[f685,f164]) ).
fof(f5658,plain,
( spl41_90
| spl41_89
| ~ spl41_4 ),
inference(avatar_split_clause,[],[f2754,f158,f679,f683]) ).
fof(f2754,plain,
( sP1(sK28)
| r1(sK28,sK9(sK28))
| ~ spl41_4 ),
inference(resolution,[],[f160,f75]) ).
fof(f75,plain,
! [X0] :
( ~ sP6(X0)
| sP1(X0)
| r1(X0,sK9(X0)) ),
inference(cnf_transformation,[],[f21]) ).
fof(f5653,plain,
( ~ spl41_17
| ~ spl41_89
| ~ spl41_535 ),
inference(avatar_contradiction_clause,[],[f5652]) ).
fof(f5652,plain,
( $false
| ~ spl41_17
| ~ spl41_89
| ~ spl41_535 ),
inference(subsumption_resolution,[],[f5651,f681]) ).
fof(f681,plain,
( sP1(sK28)
| ~ spl41_89 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f5651,plain,
( ~ sP1(sK28)
| ~ spl41_17
| ~ spl41_535 ),
inference(resolution,[],[f4036,f215]) ).
fof(f215,plain,
( r1(sK28,sK34)
| ~ spl41_17 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f213,plain,
( spl41_17
<=> r1(sK28,sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_17])]) ).
fof(f4036,plain,
( ! [X7] :
( ~ r1(X7,sK34)
| ~ sP1(X7) )
| ~ spl41_535 ),
inference(avatar_component_clause,[],[f4035]) ).
fof(f4035,plain,
( spl41_535
<=> ! [X7] :
( ~ sP1(X7)
| ~ r1(X7,sK34) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_535])]) ).
fof(f5422,plain,
( spl41_13
| ~ spl41_17
| ~ spl41_89
| spl41_557
| ~ spl41_566 ),
inference(avatar_contradiction_clause,[],[f5421]) ).
fof(f5421,plain,
( $false
| spl41_13
| ~ spl41_17
| ~ spl41_89
| spl41_557
| ~ spl41_566 ),
inference(subsumption_resolution,[],[f5420,f4171]) ).
fof(f4171,plain,
( ~ p2(sK33(sK34))
| spl41_557 ),
inference(avatar_component_clause,[],[f4170]) ).
fof(f4170,plain,
( spl41_557
<=> p2(sK33(sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_557])]) ).
fof(f5420,plain,
( p2(sK33(sK34))
| spl41_13
| ~ spl41_17
| ~ spl41_89
| spl41_557
| ~ spl41_566 ),
inference(subsumption_resolution,[],[f5416,f3907]) ).
fof(f3907,plain,
( r1(sK34,sK33(sK34))
| spl41_13
| ~ spl41_17 ),
inference(subsumption_resolution,[],[f3850,f198]) ).
fof(f198,plain,
( ~ p2(sK34)
| spl41_13 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f196,plain,
( spl41_13
<=> p2(sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_13])]) ).
fof(f3850,plain,
( p2(sK34)
| r1(sK34,sK33(sK34))
| ~ spl41_17 ),
inference(resolution,[],[f215,f132]) ).
fof(f132,plain,
! [X11] :
( ~ r1(sK28,X11)
| r1(X11,sK33(X11))
| p2(X11) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
( ( ( r1(sK28,sK29)
& ! [X2] :
( sP4(X2)
| sP5(X2)
| ( ! [X3] :
( ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ p2(X3)
| ~ r1(X2,X3) )
& ~ p2(X2) )
| ~ r1(sK29,X2) )
& ( ( ! [X5] :
( ~ p2(X5)
| ! [X6] :
( ~ r1(X5,X6)
| p2(X6) )
| ~ r1(sK29,X5) )
& ~ p2(sK29) )
| sP2(sK29) ) )
| sP6(sK28) )
& r1(sK28,sK30)
& ~ p1(sK30)
& ! [X8] :
( ~ r1(sK28,X8)
| ( r1(X8,sK31(X8))
& p1(sK31(X8))
& ~ p1(sK32(X8))
& r1(sK31(X8),sK32(X8)) )
| p1(X8) )
& ! [X11] :
( ~ r1(sK28,X11)
| ( ~ p2(sK33(X11))
& ! [X13] :
( ! [X14] :
( ~ r1(X13,X14)
| p2(X14) )
| ~ p2(X13)
| ~ r1(sK33(X11),X13) )
& r1(X11,sK33(X11)) )
| p2(X11) )
& ( ( ~ p2(sK34)
& r1(sK28,sK34)
& ! [X16] :
( ~ r1(sK28,X16)
| ( r1(X16,sK35(X16))
& p2(sK35(X16))
& r1(sK35(X16),sK36(X16))
& ~ p2(sK36(X16)) )
| p2(X16) ) )
| ! [X19] :
( ~ r1(sK28,X19)
| ~ p3(X19) ) )
& ( sP0(sK28)
| ! [X20] :
( ~ r1(sK28,X20)
| ( p3(sK37(X20))
& r1(X20,sK37(X20)) ) ) )
& ! [X22] :
( ( p4(sK38(X22))
& r1(X22,sK38(X22))
& ~ p4(sK39(X22))
& r1(sK38(X22),sK39(X22)) )
| p4(X22)
| ~ r1(sK28,X22) )
& r1(sK28,sK40)
& ~ p4(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] :
( ( ? [X1] :
( r1(X0,X1)
& ! [X2] :
( sP4(X2)
| sP5(X2)
| ( ! [X3] :
( ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ p2(X3)
| ~ r1(X2,X3) )
& ~ p2(X2) )
| ~ r1(X1,X2) )
& ( ( ! [X5] :
( ~ p2(X5)
| ! [X6] :
( ~ r1(X5,X6)
| p2(X6) )
| ~ r1(X1,X5) )
& ~ p2(X1) )
| sP2(X1) ) )
| sP6(X0) )
& ? [X7] :
( r1(X0,X7)
& ~ p1(X7) )
& ! [X8] :
( ~ r1(X0,X8)
| ? [X9] :
( r1(X8,X9)
& p1(X9)
& ? [X10] :
( ~ p1(X10)
& r1(X9,X10) ) )
| p1(X8) )
& ! [X11] :
( ~ r1(X0,X11)
| ? [X12] :
( ~ p2(X12)
& ! [X13] :
( ! [X14] :
( ~ r1(X13,X14)
| p2(X14) )
| ~ p2(X13)
| ~ r1(X12,X13) )
& r1(X11,X12) )
| p2(X11) )
& ( ( ? [X15] :
( ~ p2(X15)
& r1(X0,X15) )
& ! [X16] :
( ~ r1(X0,X16)
| ? [X17] :
( r1(X16,X17)
& p2(X17)
& ? [X18] :
( r1(X17,X18)
& ~ p2(X18) ) )
| p2(X16) ) )
| ! [X19] :
( ~ r1(X0,X19)
| ~ p3(X19) ) )
& ( sP0(X0)
| ! [X20] :
( ~ r1(X0,X20)
| ? [X21] :
( p3(X21)
& r1(X20,X21) ) ) )
& ! [X22] :
( ? [X23] :
( p4(X23)
& r1(X22,X23)
& ? [X24] :
( ~ p4(X24)
& r1(X23,X24) ) )
| p4(X22)
| ~ r1(X0,X22) )
& ? [X25] :
( r1(X0,X25)
& ~ p4(X25) ) )
=> ( ( ? [X1] :
( r1(sK28,X1)
& ! [X2] :
( sP4(X2)
| sP5(X2)
| ( ! [X3] :
( ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ p2(X3)
| ~ r1(X2,X3) )
& ~ p2(X2) )
| ~ r1(X1,X2) )
& ( ( ! [X5] :
( ~ p2(X5)
| ! [X6] :
( ~ r1(X5,X6)
| p2(X6) )
| ~ r1(X1,X5) )
& ~ p2(X1) )
| sP2(X1) ) )
| sP6(sK28) )
& ? [X7] :
( r1(sK28,X7)
& ~ p1(X7) )
& ! [X8] :
( ~ r1(sK28,X8)
| ? [X9] :
( r1(X8,X9)
& p1(X9)
& ? [X10] :
( ~ p1(X10)
& r1(X9,X10) ) )
| p1(X8) )
& ! [X11] :
( ~ r1(sK28,X11)
| ? [X12] :
( ~ p2(X12)
& ! [X13] :
( ! [X14] :
( ~ r1(X13,X14)
| p2(X14) )
| ~ p2(X13)
| ~ r1(X12,X13) )
& r1(X11,X12) )
| p2(X11) )
& ( ( ? [X15] :
( ~ p2(X15)
& r1(sK28,X15) )
& ! [X16] :
( ~ r1(sK28,X16)
| ? [X17] :
( r1(X16,X17)
& p2(X17)
& ? [X18] :
( r1(X17,X18)
& ~ p2(X18) ) )
| p2(X16) ) )
| ! [X19] :
( ~ r1(sK28,X19)
| ~ p3(X19) ) )
& ( sP0(sK28)
| ! [X20] :
( ~ r1(sK28,X20)
| ? [X21] :
( p3(X21)
& r1(X20,X21) ) ) )
& ! [X22] :
( ? [X23] :
( p4(X23)
& r1(X22,X23)
& ? [X24] :
( ~ p4(X24)
& r1(X23,X24) ) )
| p4(X22)
| ~ r1(sK28,X22) )
& ? [X25] :
( r1(sK28,X25)
& ~ p4(X25) ) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
( ? [X1] :
( r1(sK28,X1)
& ! [X2] :
( sP4(X2)
| sP5(X2)
| ( ! [X3] :
( ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ p2(X3)
| ~ r1(X2,X3) )
& ~ p2(X2) )
| ~ r1(X1,X2) )
& ( ( ! [X5] :
( ~ p2(X5)
| ! [X6] :
( ~ r1(X5,X6)
| p2(X6) )
| ~ r1(X1,X5) )
& ~ p2(X1) )
| sP2(X1) ) )
=> ( r1(sK28,sK29)
& ! [X2] :
( sP4(X2)
| sP5(X2)
| ( ! [X3] :
( ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ p2(X3)
| ~ r1(X2,X3) )
& ~ p2(X2) )
| ~ r1(sK29,X2) )
& ( ( ! [X5] :
( ~ p2(X5)
| ! [X6] :
( ~ r1(X5,X6)
| p2(X6) )
| ~ r1(sK29,X5) )
& ~ p2(sK29) )
| sP2(sK29) ) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
( ? [X7] :
( r1(sK28,X7)
& ~ p1(X7) )
=> ( r1(sK28,sK30)
& ~ p1(sK30) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
! [X8] :
( ? [X9] :
( r1(X8,X9)
& p1(X9)
& ? [X10] :
( ~ p1(X10)
& r1(X9,X10) ) )
=> ( r1(X8,sK31(X8))
& p1(sK31(X8))
& ? [X10] :
( ~ p1(X10)
& r1(sK31(X8),X10) ) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
! [X8] :
( ? [X10] :
( ~ p1(X10)
& r1(sK31(X8),X10) )
=> ( ~ p1(sK32(X8))
& r1(sK31(X8),sK32(X8)) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
! [X11] :
( ? [X12] :
( ~ p2(X12)
& ! [X13] :
( ! [X14] :
( ~ r1(X13,X14)
| p2(X14) )
| ~ p2(X13)
| ~ r1(X12,X13) )
& r1(X11,X12) )
=> ( ~ p2(sK33(X11))
& ! [X13] :
( ! [X14] :
( ~ r1(X13,X14)
| p2(X14) )
| ~ p2(X13)
| ~ r1(sK33(X11),X13) )
& r1(X11,sK33(X11)) ) ),
introduced(choice_axiom,[]) ).
fof(f65,plain,
( ? [X15] :
( ~ p2(X15)
& r1(sK28,X15) )
=> ( ~ p2(sK34)
& r1(sK28,sK34) ) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
! [X16] :
( ? [X17] :
( r1(X16,X17)
& p2(X17)
& ? [X18] :
( r1(X17,X18)
& ~ p2(X18) ) )
=> ( r1(X16,sK35(X16))
& p2(sK35(X16))
& ? [X18] :
( r1(sK35(X16),X18)
& ~ p2(X18) ) ) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
! [X16] :
( ? [X18] :
( r1(sK35(X16),X18)
& ~ p2(X18) )
=> ( r1(sK35(X16),sK36(X16))
& ~ p2(sK36(X16)) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
! [X20] :
( ? [X21] :
( p3(X21)
& r1(X20,X21) )
=> ( p3(sK37(X20))
& r1(X20,sK37(X20)) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
! [X22] :
( ? [X23] :
( p4(X23)
& r1(X22,X23)
& ? [X24] :
( ~ p4(X24)
& r1(X23,X24) ) )
=> ( p4(sK38(X22))
& r1(X22,sK38(X22))
& ? [X24] :
( ~ p4(X24)
& r1(sK38(X22),X24) ) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
! [X22] :
( ? [X24] :
( ~ p4(X24)
& r1(sK38(X22),X24) )
=> ( ~ p4(sK39(X22))
& r1(sK38(X22),sK39(X22)) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
( ? [X25] :
( r1(sK28,X25)
& ~ p4(X25) )
=> ( r1(sK28,sK40)
& ~ p4(sK40) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
? [X0] :
( ( ? [X1] :
( r1(X0,X1)
& ! [X2] :
( sP4(X2)
| sP5(X2)
| ( ! [X3] :
( ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ p2(X3)
| ~ r1(X2,X3) )
& ~ p2(X2) )
| ~ r1(X1,X2) )
& ( ( ! [X5] :
( ~ p2(X5)
| ! [X6] :
( ~ r1(X5,X6)
| p2(X6) )
| ~ r1(X1,X5) )
& ~ p2(X1) )
| sP2(X1) ) )
| sP6(X0) )
& ? [X7] :
( r1(X0,X7)
& ~ p1(X7) )
& ! [X8] :
( ~ r1(X0,X8)
| ? [X9] :
( r1(X8,X9)
& p1(X9)
& ? [X10] :
( ~ p1(X10)
& r1(X9,X10) ) )
| p1(X8) )
& ! [X11] :
( ~ r1(X0,X11)
| ? [X12] :
( ~ p2(X12)
& ! [X13] :
( ! [X14] :
( ~ r1(X13,X14)
| p2(X14) )
| ~ p2(X13)
| ~ r1(X12,X13) )
& r1(X11,X12) )
| p2(X11) )
& ( ( ? [X15] :
( ~ p2(X15)
& r1(X0,X15) )
& ! [X16] :
( ~ r1(X0,X16)
| ? [X17] :
( r1(X16,X17)
& p2(X17)
& ? [X18] :
( r1(X17,X18)
& ~ p2(X18) ) )
| p2(X16) ) )
| ! [X19] :
( ~ r1(X0,X19)
| ~ p3(X19) ) )
& ( sP0(X0)
| ! [X20] :
( ~ r1(X0,X20)
| ? [X21] :
( p3(X21)
& r1(X20,X21) ) ) )
& ! [X22] :
( ? [X23] :
( p4(X23)
& r1(X22,X23)
& ? [X24] :
( ~ p4(X24)
& r1(X23,X24) ) )
| p4(X22)
| ~ r1(X0,X22) )
& ? [X25] :
( r1(X0,X25)
& ~ p4(X25) ) ),
inference(rectify,[],[f15]) ).
fof(f15,plain,
? [X0] :
( ( ? [X16] :
( r1(X0,X16)
& ! [X26] :
( sP4(X26)
| sP5(X26)
| ( ! [X37] :
( ! [X38] :
( p2(X38)
| ~ r1(X37,X38) )
| ~ p2(X37)
| ~ r1(X26,X37) )
& ~ p2(X26) )
| ~ r1(X16,X26) )
& ( ( ! [X24] :
( ~ p2(X24)
| ! [X25] :
( ~ r1(X24,X25)
| p2(X25) )
| ~ r1(X16,X24) )
& ~ p2(X16) )
| sP2(X16) ) )
| sP6(X0) )
& ? [X50] :
( r1(X0,X50)
& ~ p1(X50) )
& ! [X51] :
( ~ r1(X0,X51)
| ? [X52] :
( r1(X51,X52)
& p1(X52)
& ? [X53] :
( ~ p1(X53)
& r1(X52,X53) ) )
| p1(X51) )
& ! [X46] :
( ~ r1(X0,X46)
| ? [X47] :
( ~ p2(X47)
& ! [X48] :
( ! [X49] :
( ~ r1(X48,X49)
| p2(X49) )
| ~ p2(X48)
| ~ r1(X47,X48) )
& r1(X46,X47) )
| p2(X46) )
& ( ( ? [X56] :
( ~ p2(X56)
& r1(X0,X56) )
& ! [X57] :
( ~ r1(X0,X57)
| ? [X58] :
( r1(X57,X58)
& p2(X58)
& ? [X59] :
( r1(X58,X59)
& ~ p2(X59) ) )
| p2(X57) ) )
| ! [X55] :
( ~ r1(X0,X55)
| ~ p3(X55) ) )
& ( sP0(X0)
| ! [X5] :
( ~ r1(X0,X5)
| ? [X6] :
( p3(X6)
& r1(X5,X6) ) ) )
& ! [X60] :
( ? [X61] :
( p4(X61)
& r1(X60,X61)
& ? [X62] :
( ~ p4(X62)
& r1(X61,X62) ) )
| p4(X60)
| ~ r1(X0,X60) )
& ? [X54] :
( r1(X0,X54)
& ~ p4(X54) ) ),
inference(definition_folding,[],[f7,f14,f13,f12,f11,f10,f9,f8]) ).
fof(f9,plain,
! [X0] :
( ! [X10] :
( ~ r1(X0,X10)
| ! [X11] :
( ? [X12] :
( p2(X12)
& ? [X13] :
( r1(X12,X13)
& ~ p2(X13) )
& r1(X11,X12) )
| ~ r1(X10,X11)
| p2(X11) ) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f11,plain,
! [X27] :
( ! [X31] :
( ! [X32] :
( ? [X33] :
( p2(X33)
& ? [X34] :
( ~ p2(X34)
& r1(X33,X34) )
& r1(X32,X33) )
| ~ r1(X31,X32)
| p2(X32) )
| ~ r1(X27,X31) )
| ~ sP3(X27) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f7,plain,
? [X0] :
( ( ? [X16] :
( r1(X0,X16)
& ! [X26] :
( ( ? [X42] :
( ? [X43] :
( ! [X44] :
( ~ r1(X43,X44)
| ! [X45] :
( ~ r1(X44,X45)
| p2(X45) )
| ~ p2(X44) )
& ~ p2(X43)
& r1(X42,X43) )
& r1(X26,X42) )
& ! [X39] :
( ~ r1(X26,X39)
| ? [X40] :
( p2(X40)
& r1(X39,X40)
& ? [X41] :
( ~ p2(X41)
& r1(X40,X41) ) )
| p2(X39) ) )
| ! [X27] :
( ~ r1(X26,X27)
| ( ( p2(X27)
| ? [X35] :
( p2(X35)
& ? [X36] :
( ~ p2(X36)
& r1(X35,X36) )
& r1(X27,X35) ) )
& ( ? [X28] :
( r1(X27,X28)
& ! [X29] :
( ! [X30] :
( p2(X30)
| ~ r1(X29,X30) )
| ~ p2(X29)
| ~ r1(X28,X29) )
& ~ p2(X28) )
| ! [X31] :
( ! [X32] :
( ? [X33] :
( p2(X33)
& ? [X34] :
( ~ p2(X34)
& r1(X33,X34) )
& r1(X32,X33) )
| ~ r1(X31,X32)
| p2(X32) )
| ~ r1(X27,X31) ) ) ) )
| ( ! [X37] :
( ! [X38] :
( p2(X38)
| ~ r1(X37,X38) )
| ~ p2(X37)
| ~ r1(X26,X37) )
& ~ p2(X26) )
| ~ r1(X16,X26) )
& ( ( ! [X24] :
( ~ p2(X24)
| ! [X25] :
( ~ r1(X24,X25)
| p2(X25) )
| ~ r1(X16,X24) )
& ~ p2(X16) )
| ( ! [X17] :
( p2(X17)
| ? [X18] :
( p2(X18)
& r1(X17,X18)
& ? [X19] :
( ~ p2(X19)
& r1(X18,X19) ) )
| ~ r1(X16,X17) )
& ? [X20] :
( r1(X16,X20)
& ? [X21] :
( ~ p2(X21)
& r1(X20,X21)
& ! [X22] :
( ! [X23] :
( p2(X23)
| ~ r1(X22,X23) )
| ~ p2(X22)
| ~ r1(X21,X22) ) ) ) ) ) )
| ( ( p2(X0)
| ? [X14] :
( r1(X0,X14)
& ? [X15] :
( r1(X14,X15)
& ~ p2(X15) )
& p2(X14) ) )
& ( ! [X10] :
( ~ r1(X0,X10)
| ! [X11] :
( ? [X12] :
( p2(X12)
& ? [X13] :
( r1(X12,X13)
& ~ p2(X13) )
& r1(X11,X12) )
| ~ r1(X10,X11)
| p2(X11) ) )
| ? [X7] :
( ! [X8] :
( ! [X9] :
( p2(X9)
| ~ r1(X8,X9) )
| ~ r1(X7,X8)
| ~ p2(X8) )
& r1(X0,X7)
& ~ p2(X7) ) ) ) )
& ? [X50] :
( r1(X0,X50)
& ~ p1(X50) )
& ! [X51] :
( ~ r1(X0,X51)
| ? [X52] :
( r1(X51,X52)
& p1(X52)
& ? [X53] :
( ~ p1(X53)
& r1(X52,X53) ) )
| p1(X51) )
& ! [X46] :
( ~ r1(X0,X46)
| ? [X47] :
( ~ p2(X47)
& ! [X48] :
( ! [X49] :
( ~ r1(X48,X49)
| p2(X49) )
| ~ p2(X48)
| ~ r1(X47,X48) )
& r1(X46,X47) )
| p2(X46) )
& ( ( ? [X56] :
( ~ p2(X56)
& r1(X0,X56) )
& ! [X57] :
( ~ r1(X0,X57)
| ? [X58] :
( r1(X57,X58)
& p2(X58)
& ? [X59] :
( r1(X58,X59)
& ~ p2(X59) ) )
| p2(X57) ) )
| ! [X55] :
( ~ r1(X0,X55)
| ~ p3(X55) ) )
& ( ( ! [X2] :
( ? [X3] :
( r1(X2,X3)
& ? [X4] :
( r1(X3,X4)
& ~ p2(X4) )
& p2(X3) )
| p2(X2)
| ~ r1(X0,X2) )
& ? [X1] :
( ~ p2(X1)
& r1(X0,X1) ) )
| ! [X5] :
( ~ r1(X0,X5)
| ? [X6] :
( p3(X6)
& r1(X5,X6) ) ) )
& ! [X60] :
( ? [X61] :
( p4(X61)
& r1(X60,X61)
& ? [X62] :
( ~ p4(X62)
& r1(X61,X62) ) )
| p4(X60)
| ~ r1(X0,X60) )
& ? [X54] :
( r1(X0,X54)
& ~ p4(X54) ) ),
inference(flattening,[],[f6]) ).
fof(f6,plain,
? [X0] :
( ? [X54] :
( r1(X0,X54)
& ~ p4(X54) )
& ! [X60] :
( ? [X61] :
( p4(X61)
& r1(X60,X61)
& ? [X62] :
( ~ p4(X62)
& r1(X61,X62) ) )
| p4(X60)
| ~ r1(X0,X60) )
& ( ( ! [X2] :
( ? [X3] :
( r1(X2,X3)
& ? [X4] :
( r1(X3,X4)
& ~ p2(X4) )
& p2(X3) )
| p2(X2)
| ~ r1(X0,X2) )
& ? [X1] :
( ~ p2(X1)
& r1(X0,X1) ) )
| ! [X5] :
( ~ r1(X0,X5)
| ? [X6] :
( p3(X6)
& r1(X5,X6) ) ) )
& ! [X51] :
( ~ r1(X0,X51)
| ? [X52] :
( r1(X51,X52)
& p1(X52)
& ? [X53] :
( ~ p1(X53)
& r1(X52,X53) ) )
| p1(X51) )
& ( ? [X16] :
( ! [X26] :
( ! [X27] :
( ~ r1(X26,X27)
| ( ( p2(X27)
| ? [X35] :
( p2(X35)
& ? [X36] :
( ~ p2(X36)
& r1(X35,X36) )
& r1(X27,X35) ) )
& ( ? [X28] :
( r1(X27,X28)
& ! [X29] :
( ! [X30] :
( p2(X30)
| ~ r1(X29,X30) )
| ~ p2(X29)
| ~ r1(X28,X29) )
& ~ p2(X28) )
| ! [X31] :
( ! [X32] :
( ? [X33] :
( p2(X33)
& ? [X34] :
( ~ p2(X34)
& r1(X33,X34) )
& r1(X32,X33) )
| ~ r1(X31,X32)
| p2(X32) )
| ~ r1(X27,X31) ) ) ) )
| ~ r1(X16,X26)
| ( ? [X42] :
( ? [X43] :
( ! [X44] :
( ~ r1(X43,X44)
| ! [X45] :
( ~ r1(X44,X45)
| p2(X45) )
| ~ p2(X44) )
& ~ p2(X43)
& r1(X42,X43) )
& r1(X26,X42) )
& ! [X39] :
( ~ r1(X26,X39)
| ? [X40] :
( p2(X40)
& r1(X39,X40)
& ? [X41] :
( ~ p2(X41)
& r1(X40,X41) ) )
| p2(X39) ) )
| ( ! [X37] :
( ! [X38] :
( p2(X38)
| ~ r1(X37,X38) )
| ~ p2(X37)
| ~ r1(X26,X37) )
& ~ p2(X26) ) )
& ( ( ! [X24] :
( ~ p2(X24)
| ! [X25] :
( ~ r1(X24,X25)
| p2(X25) )
| ~ r1(X16,X24) )
& ~ p2(X16) )
| ( ! [X17] :
( p2(X17)
| ? [X18] :
( p2(X18)
& r1(X17,X18)
& ? [X19] :
( ~ p2(X19)
& r1(X18,X19) ) )
| ~ r1(X16,X17) )
& ? [X20] :
( r1(X16,X20)
& ? [X21] :
( ~ p2(X21)
& r1(X20,X21)
& ! [X22] :
( ! [X23] :
( p2(X23)
| ~ r1(X22,X23) )
| ~ p2(X22)
| ~ r1(X21,X22) ) ) ) ) )
& r1(X0,X16) )
| ( ( p2(X0)
| ? [X14] :
( r1(X0,X14)
& ? [X15] :
( r1(X14,X15)
& ~ p2(X15) )
& p2(X14) ) )
& ( ! [X10] :
( ~ r1(X0,X10)
| ! [X11] :
( ? [X12] :
( p2(X12)
& ? [X13] :
( r1(X12,X13)
& ~ p2(X13) )
& r1(X11,X12) )
| ~ r1(X10,X11)
| p2(X11) ) )
| ? [X7] :
( ! [X8] :
( ! [X9] :
( p2(X9)
| ~ r1(X8,X9) )
| ~ r1(X7,X8)
| ~ p2(X8) )
& r1(X0,X7)
& ~ p2(X7) ) ) ) )
& ! [X46] :
( ~ r1(X0,X46)
| ? [X47] :
( ~ p2(X47)
& ! [X48] :
( ! [X49] :
( ~ r1(X48,X49)
| p2(X49) )
| ~ p2(X48)
| ~ r1(X47,X48) )
& r1(X46,X47) )
| p2(X46) )
& ? [X50] :
( r1(X0,X50)
& ~ p1(X50) )
& ( ( ? [X56] :
( ~ p2(X56)
& r1(X0,X56) )
& ! [X57] :
( ~ r1(X0,X57)
| ? [X58] :
( r1(X57,X58)
& p2(X58)
& ? [X59] :
( r1(X58,X59)
& ~ p2(X59) ) )
| p2(X57) ) )
| ! [X55] :
( ~ r1(X0,X55)
| ~ p3(X55) ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,plain,
? [X0] :
~ ( ! [X54] :
( p4(X54)
| ~ r1(X0,X54) )
| ~ ! [X60] :
( p4(X60)
| ~ r1(X0,X60)
| ~ ! [X61] :
( ~ p4(X61)
| ~ r1(X60,X61)
| ! [X62] :
( ~ r1(X61,X62)
| p4(X62) ) ) )
| ( ( ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ ! [X2] :
( ~ r1(X0,X2)
| p2(X2)
| ~ ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) ) ) )
& ~ ! [X5] :
( ~ r1(X0,X5)
| ~ ! [X6] :
( ~ p3(X6)
| ~ r1(X5,X6) ) ) )
| ~ ! [X51] :
( ~ r1(X0,X51)
| p1(X51)
| ~ ! [X52] :
( ~ r1(X51,X52)
| ! [X53] :
( ~ r1(X52,X53)
| p1(X53) )
| ~ p1(X52) ) )
| ~ ( ( ~ ! [X16] :
( ~ ! [X26] :
( ! [X27] :
( ( ( ! [X31] :
( ~ r1(X27,X31)
| ! [X32] :
( ~ r1(X31,X32)
| p2(X32)
| ~ ! [X33] :
( ~ r1(X32,X33)
| ~ p2(X33)
| ! [X34] :
( ~ r1(X33,X34)
| p2(X34) ) ) ) )
| ~ ! [X28] :
( ~ ! [X29] :
( ! [X30] :
( p2(X30)
| ~ r1(X29,X30) )
| ~ p2(X29)
| ~ r1(X28,X29) )
| p2(X28)
| ~ r1(X27,X28) ) )
& ( p2(X27)
| ~ ! [X35] :
( ! [X36] :
( ~ r1(X35,X36)
| p2(X36) )
| ~ p2(X35)
| ~ r1(X27,X35) ) ) )
| ~ r1(X26,X27) )
| ~ r1(X16,X26)
| ~ ( ( ~ ! [X39] :
( ~ ! [X40] :
( ! [X41] :
( ~ r1(X40,X41)
| p2(X41) )
| ~ r1(X39,X40)
| ~ p2(X40) )
| ~ r1(X26,X39)
| p2(X39) )
| ! [X42] :
( ~ r1(X26,X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43)
| ~ ! [X44] :
( ~ r1(X43,X44)
| ! [X45] :
( ~ r1(X44,X45)
| p2(X45) )
| ~ p2(X44) ) ) ) )
& ( p2(X26)
| ~ ! [X37] :
( ! [X38] :
( p2(X38)
| ~ r1(X37,X38) )
| ~ p2(X37)
| ~ r1(X26,X37) ) ) ) )
| ( ( ! [X20] :
( ~ r1(X16,X20)
| ! [X21] :
( p2(X21)
| ~ ! [X22] :
( ! [X23] :
( p2(X23)
| ~ r1(X22,X23) )
| ~ p2(X22)
| ~ r1(X21,X22) )
| ~ r1(X20,X21) ) )
| ~ ! [X17] :
( ~ ! [X18] :
( ! [X19] :
( p2(X19)
| ~ r1(X18,X19) )
| ~ r1(X17,X18)
| ~ p2(X18) )
| ~ r1(X16,X17)
| p2(X17) ) )
& ( p2(X16)
| ~ ! [X24] :
( ~ p2(X24)
| ! [X25] :
( ~ r1(X24,X25)
| p2(X25) )
| ~ r1(X16,X24) ) ) )
| ~ r1(X0,X16) )
| ( ( ~ ! [X7] :
( ~ r1(X0,X7)
| ~ ! [X8] :
( ! [X9] :
( p2(X9)
| ~ r1(X8,X9) )
| ~ r1(X7,X8)
| ~ p2(X8) )
| p2(X7) )
| ! [X10] :
( ! [X11] :
( p2(X11)
| ~ ! [X12] :
( ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| p2(X13) )
| ~ p2(X12) )
| ~ r1(X10,X11) )
| ~ r1(X0,X10) ) )
& ( ~ ! [X14] :
( ~ p2(X14)
| ~ r1(X0,X14)
| ! [X15] :
( ~ r1(X14,X15)
| p2(X15) ) )
| p2(X0) ) ) )
& ! [X46] :
( ~ r1(X0,X46)
| ~ ! [X47] :
( ~ ! [X48] :
( ! [X49] :
( ~ r1(X48,X49)
| p2(X49) )
| ~ p2(X48)
| ~ r1(X47,X48) )
| ~ r1(X46,X47)
| p2(X47) )
| p2(X46) ) )
| ! [X50] :
( ~ r1(X0,X50)
| p1(X50) )
| ( ( ~ ! [X57] :
( ~ ! [X58] :
( ! [X59] :
( p2(X59)
| ~ r1(X58,X59) )
| ~ r1(X57,X58)
| ~ p2(X58) )
| ~ r1(X0,X57)
| p2(X57) )
| ! [X56] :
( p2(X56)
| ~ r1(X0,X56) ) )
& ~ ! [X55] :
( ~ r1(X0,X55)
| ~ p3(X55) ) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ! [X54] :
( p4(X54)
| ~ r1(X0,X54) )
| ~ ! [X60] :
( p4(X60)
| ~ r1(X0,X60)
| ~ ! [X61] :
( ~ p4(X61)
| ~ r1(X60,X61)
| ! [X62] :
( ~ r1(X61,X62)
| p4(X62) ) ) )
| ( ( ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ ! [X2] :
( ~ r1(X0,X2)
| p2(X2)
| ~ ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) ) ) )
& ~ ! [X5] :
( ~ r1(X0,X5)
| ~ ! [X6] :
( ~ p3(X6)
| ~ r1(X5,X6) ) ) )
| ~ ! [X51] :
( ~ r1(X0,X51)
| p1(X51)
| ~ ! [X52] :
( ~ r1(X51,X52)
| ! [X53] :
( ~ r1(X52,X53)
| p1(X53) )
| ~ p1(X52) ) )
| ~ ( ( ~ ! [X16] :
( ~ ! [X26] :
( ! [X27] :
( ( ( ! [X31] :
( ~ r1(X27,X31)
| ! [X32] :
( ~ r1(X31,X32)
| p2(X32)
| ~ ! [X33] :
( ~ r1(X32,X33)
| ~ p2(X33)
| ! [X34] :
( ~ r1(X33,X34)
| p2(X34) ) ) ) )
| ~ ! [X28] :
( ~ ! [X29] :
( ! [X30] :
( p2(X30)
| ~ r1(X29,X30) )
| ~ p2(X29)
| ~ r1(X28,X29) )
| p2(X28)
| ~ r1(X27,X28) ) )
& ( p2(X27)
| ~ ! [X35] :
( ! [X36] :
( ~ r1(X35,X36)
| p2(X36) )
| ~ p2(X35)
| ~ r1(X27,X35) ) ) )
| ~ r1(X26,X27) )
| ~ r1(X16,X26)
| ~ ( ( ~ ! [X39] :
( ~ ! [X40] :
( ! [X41] :
( ~ r1(X40,X41)
| p2(X41) )
| ~ r1(X39,X40)
| ~ p2(X40) )
| ~ r1(X26,X39)
| p2(X39) )
| ! [X42] :
( ~ r1(X26,X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43)
| ~ ! [X44] :
( ~ r1(X43,X44)
| ! [X45] :
( ~ r1(X44,X45)
| p2(X45) )
| ~ p2(X44) ) ) ) )
& ( p2(X26)
| ~ ! [X37] :
( ! [X38] :
( p2(X38)
| ~ r1(X37,X38) )
| ~ p2(X37)
| ~ r1(X26,X37) ) ) ) )
| ( ( ! [X20] :
( ~ r1(X16,X20)
| ! [X21] :
( p2(X21)
| ~ ! [X22] :
( ! [X23] :
( p2(X23)
| ~ r1(X22,X23) )
| ~ p2(X22)
| ~ r1(X21,X22) )
| ~ r1(X20,X21) ) )
| ~ ! [X17] :
( ~ ! [X18] :
( ! [X19] :
( p2(X19)
| ~ r1(X18,X19) )
| ~ r1(X17,X18)
| ~ p2(X18) )
| ~ r1(X16,X17)
| p2(X17) ) )
& ( p2(X16)
| ~ ! [X24] :
( ~ p2(X24)
| ! [X25] :
( ~ r1(X24,X25)
| p2(X25) )
| ~ r1(X16,X24) ) ) )
| ~ r1(X0,X16) )
| ( ( ~ ! [X7] :
( ~ r1(X0,X7)
| ~ ! [X8] :
( ! [X9] :
( p2(X9)
| ~ r1(X8,X9) )
| ~ r1(X7,X8)
| ~ p2(X8) )
| p2(X7) )
| ! [X10] :
( ! [X11] :
( p2(X11)
| ~ ! [X12] :
( ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| p2(X13) )
| ~ p2(X12) )
| ~ r1(X10,X11) )
| ~ r1(X0,X10) ) )
& ( ~ ! [X14] :
( ~ p2(X14)
| ~ r1(X0,X14)
| ! [X15] :
( ~ r1(X14,X15)
| p2(X15) ) )
| p2(X0) ) ) )
& ! [X46] :
( ~ r1(X0,X46)
| ~ ! [X47] :
( ~ ! [X48] :
( ! [X49] :
( ~ r1(X48,X49)
| p2(X49) )
| ~ p2(X48)
| ~ r1(X47,X48) )
| ~ r1(X46,X47)
| p2(X47) )
| p2(X46) ) )
| ! [X50] :
( ~ r1(X0,X50)
| p1(X50) )
| ( ( ~ ! [X57] :
( ~ ! [X58] :
( ! [X59] :
( p2(X59)
| ~ r1(X58,X59) )
| ~ r1(X57,X58)
| ~ p2(X58) )
| ~ r1(X0,X57)
| p2(X57) )
| ! [X56] :
( p2(X56)
| ~ r1(X0,X56) ) )
& ~ ! [X55] :
( ~ r1(X0,X55)
| ~ p3(X55) ) ) ),
inference(rectify,[],[f3]) ).
fof(f3,negated_conjecture,
~ ~ ? [X0] :
~ ( ( ( ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( p2(X1)
| ~ ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
& ~ ! [X1] :
( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p3(X0) )
| ~ r1(X0,X1) ) )
| ~ ( ( ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ p2(X0) )
| p2(X1) )
| ! [X1] :
( ! [X0] :
( p2(X0)
| ~ ! [X1] :
( ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
& ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ r1(X0,X1) )
| p2(X0) ) )
| ~ ! [X1] :
( ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1)
| ~ r1(X0,X1) )
| p2(X0) )
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( p2(X1)
| ~ ! [X0] :
( ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) )
& ( ~ ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ r1(X1,X0)
| ~ p2(X0) )
| p2(X1) ) )
| ~ r1(X0,X1)
| ~ ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ( ~ ! [X0] :
( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( p2(X1)
| ~ r1(X0,X1)
| ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X1,X0) ) )
& ( p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p2(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) ) ) ) ) )
| ~ ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) ) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ p2(X0)
| ~ r1(X1,X0) )
| p2(X1) )
| ! [X1] :
( ! [X0] :
( p2(X0)
| ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) )
| ~ r1(X1,X0) ) ) )
& ! [X1] :
( ~ ! [X0] :
( p2(X0)
| ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) ) ) )
| p2(X1)
| ~ r1(X0,X1) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) )
| p1(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p4(X1) )
| ( ~ ! [X1] :
( ~ p3(X1)
| ~ r1(X0,X1) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ ! [X1] :
( p2(X1)
| ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( p4(X1)
| ~ r1(X0,X1) )
| ~ p4(X0) )
| p4(X1)
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[],[f2]) ).
fof(f2,conjecture,
~ ? [X0] :
~ ( ( ( ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( p2(X1)
| ~ ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
& ~ ! [X1] :
( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p3(X0) )
| ~ r1(X0,X1) ) )
| ~ ( ( ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ p2(X0) )
| p2(X1) )
| ! [X1] :
( ! [X0] :
( p2(X0)
| ~ ! [X1] :
( ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
& ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ r1(X0,X1) )
| p2(X0) ) )
| ~ ! [X1] :
( ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1)
| ~ r1(X0,X1) )
| p2(X0) )
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( p2(X1)
| ~ ! [X0] :
( ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) )
& ( ~ ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ r1(X1,X0)
| ~ p2(X0) )
| p2(X1) ) )
| ~ r1(X0,X1)
| ~ ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ( ~ ! [X0] :
( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( p2(X1)
| ~ r1(X0,X1)
| ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X1,X0) ) )
& ( p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p2(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) ) ) ) ) )
| ~ ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) ) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ p2(X0)
| ~ r1(X1,X0) )
| p2(X1) )
| ! [X1] :
( ! [X0] :
( p2(X0)
| ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) )
| ~ r1(X1,X0) ) ) )
& ! [X1] :
( ~ ! [X0] :
( p2(X0)
| ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) ) ) )
| p2(X1)
| ~ r1(X0,X1) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) )
| p1(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p4(X1) )
| ( ~ ! [X1] :
( ~ p3(X1)
| ~ r1(X0,X1) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ ! [X1] :
( p2(X1)
| ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( p4(X1)
| ~ r1(X0,X1) )
| ~ p4(X0) )
| p4(X1)
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f5416,plain,
( ~ r1(sK34,sK33(sK34))
| p2(sK33(sK34))
| spl41_13
| ~ spl41_17
| ~ spl41_89
| spl41_557
| ~ spl41_566 ),
inference(resolution,[],[f5327,f3890]) ).
fof(f3890,plain,
( ! [X5] :
( ~ p2(sK24(X5))
| ~ r1(sK34,X5)
| p2(X5) )
| ~ spl41_17
| ~ spl41_89 ),
inference(subsumption_resolution,[],[f3874,f681]) ).
fof(f3874,plain,
( ! [X5] :
( ~ sP1(sK28)
| ~ p2(sK24(X5))
| ~ r1(sK34,X5)
| p2(X5) )
| ~ spl41_17 ),
inference(resolution,[],[f215,f109]) ).
fof(f109,plain,
! [X2,X0,X1] :
( ~ r1(X0,X1)
| ~ p2(sK24(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ( p2(sK23(X2))
& r1(sK23(X2),sK24(X2))
& ~ p2(sK24(X2))
& r1(X2,sK23(X2)) )
| ~ r1(X1,X2)
| p2(X2) ) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23,sK24])],[f48,f50,f49]) ).
fof(f49,plain,
! [X2] :
( ? [X3] :
( p2(X3)
& ? [X4] :
( r1(X3,X4)
& ~ p2(X4) )
& r1(X2,X3) )
=> ( p2(sK23(X2))
& ? [X4] :
( r1(sK23(X2),X4)
& ~ p2(X4) )
& r1(X2,sK23(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
! [X2] :
( ? [X4] :
( r1(sK23(X2),X4)
& ~ p2(X4) )
=> ( r1(sK23(X2),sK24(X2))
& ~ p2(sK24(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ? [X3] :
( p2(X3)
& ? [X4] :
( r1(X3,X4)
& ~ p2(X4) )
& r1(X2,X3) )
| ~ r1(X1,X2)
| p2(X2) ) )
| ~ sP1(X0) ),
inference(rectify,[],[f47]) ).
fof(f47,plain,
! [X0] :
( ! [X10] :
( ~ r1(X0,X10)
| ! [X11] :
( ? [X12] :
( p2(X12)
& ? [X13] :
( r1(X12,X13)
& ~ p2(X13) )
& r1(X11,X12) )
| ~ r1(X10,X11)
| p2(X11) ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f9]) ).
fof(f5327,plain,
( p2(sK24(sK33(sK34)))
| spl41_13
| ~ spl41_17
| ~ spl41_89
| spl41_557
| ~ spl41_566 ),
inference(resolution,[],[f5041,f5033]) ).
fof(f5033,plain,
( ! [X0] :
( ~ r1(sK23(sK33(sK34)),X0)
| p2(X0) )
| spl41_13
| ~ spl41_17
| ~ spl41_89
| spl41_557
| ~ spl41_566 ),
inference(subsumption_resolution,[],[f5032,f4217]) ).
fof(f4217,plain,
( p2(sK23(sK33(sK34)))
| ~ spl41_566 ),
inference(avatar_component_clause,[],[f4215]) ).
fof(f4215,plain,
( spl41_566
<=> p2(sK23(sK33(sK34))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_566])]) ).
fof(f5032,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK23(sK33(sK34)),X0)
| ~ p2(sK23(sK33(sK34))) )
| spl41_13
| ~ spl41_17
| ~ spl41_89
| spl41_557 ),
inference(subsumption_resolution,[],[f5031,f198]) ).
fof(f5031,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK23(sK33(sK34)),X0)
| p2(sK34)
| ~ p2(sK23(sK33(sK34))) )
| spl41_13
| ~ spl41_17
| ~ spl41_89
| spl41_557 ),
inference(subsumption_resolution,[],[f4968,f215]) ).
fof(f4968,plain,
( ! [X0] :
( ~ r1(sK28,sK34)
| ~ p2(sK23(sK33(sK34)))
| p2(X0)
| ~ r1(sK23(sK33(sK34)),X0)
| p2(sK34) )
| spl41_13
| ~ spl41_17
| ~ spl41_89
| spl41_557 ),
inference(resolution,[],[f4967,f133]) ).
fof(f133,plain,
! [X11,X14,X13] :
( ~ r1(sK33(X11),X13)
| p2(X14)
| ~ r1(X13,X14)
| ~ p2(X13)
| p2(X11)
| ~ r1(sK28,X11) ),
inference(cnf_transformation,[],[f72]) ).
fof(f4967,plain,
( r1(sK33(sK34),sK23(sK33(sK34)))
| spl41_13
| ~ spl41_17
| ~ spl41_89
| spl41_557 ),
inference(subsumption_resolution,[],[f4963,f4171]) ).
fof(f4963,plain,
( p2(sK33(sK34))
| r1(sK33(sK34),sK23(sK33(sK34)))
| spl41_13
| ~ spl41_17
| ~ spl41_89 ),
inference(resolution,[],[f3908,f3907]) ).
fof(f3908,plain,
( ! [X4] :
( ~ r1(sK34,X4)
| p2(X4)
| r1(X4,sK23(X4)) )
| ~ spl41_17
| ~ spl41_89 ),
inference(subsumption_resolution,[],[f3873,f681]) ).
fof(f3873,plain,
( ! [X4] :
( p2(X4)
| ~ r1(sK34,X4)
| r1(X4,sK23(X4))
| ~ sP1(sK28) )
| ~ spl41_17 ),
inference(resolution,[],[f215,f108]) ).
fof(f108,plain,
! [X2,X0,X1] :
( ~ r1(X0,X1)
| r1(X2,sK23(X2))
| ~ r1(X1,X2)
| ~ sP1(X0)
| p2(X2) ),
inference(cnf_transformation,[],[f51]) ).
fof(f5041,plain,
( r1(sK23(sK33(sK34)),sK24(sK33(sK34)))
| spl41_13
| ~ spl41_17
| ~ spl41_89
| spl41_557 ),
inference(subsumption_resolution,[],[f5036,f4171]) ).
fof(f5036,plain,
( r1(sK23(sK33(sK34)),sK24(sK33(sK34)))
| p2(sK33(sK34))
| spl41_13
| ~ spl41_17
| ~ spl41_89 ),
inference(resolution,[],[f3891,f3907]) ).
fof(f3891,plain,
( ! [X6] :
( ~ r1(sK34,X6)
| p2(X6)
| r1(sK23(X6),sK24(X6)) )
| ~ spl41_17
| ~ spl41_89 ),
inference(subsumption_resolution,[],[f3875,f681]) ).
fof(f3875,plain,
( ! [X6] :
( p2(X6)
| ~ r1(sK34,X6)
| r1(sK23(X6),sK24(X6))
| ~ sP1(sK28) )
| ~ spl41_17 ),
inference(resolution,[],[f215,f110]) ).
fof(f110,plain,
! [X2,X0,X1] :
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ sP1(X0)
| r1(sK23(X2),sK24(X2))
| p2(X2) ),
inference(cnf_transformation,[],[f51]) ).
fof(f4248,plain,
( spl41_13
| ~ spl41_17
| ~ spl41_557 ),
inference(avatar_contradiction_clause,[],[f4247]) ).
fof(f4247,plain,
( $false
| spl41_13
| ~ spl41_17
| ~ spl41_557 ),
inference(subsumption_resolution,[],[f4246,f198]) ).
fof(f4246,plain,
( p2(sK34)
| ~ spl41_17
| ~ spl41_557 ),
inference(subsumption_resolution,[],[f4245,f215]) ).
fof(f4245,plain,
( ~ r1(sK28,sK34)
| p2(sK34)
| ~ spl41_557 ),
inference(resolution,[],[f4172,f134]) ).
fof(f134,plain,
! [X11] :
( ~ p2(sK33(X11))
| ~ r1(sK28,X11)
| p2(X11) ),
inference(cnf_transformation,[],[f72]) ).
fof(f4172,plain,
( p2(sK33(sK34))
| ~ spl41_557 ),
inference(avatar_component_clause,[],[f4170]) ).
fof(f4218,plain,
( spl41_566
| spl41_535
| spl41_557
| spl41_13
| ~ spl41_17 ),
inference(avatar_split_clause,[],[f4153,f213,f196,f4170,f4035,f4215]) ).
fof(f4153,plain,
( ! [X7] :
( p2(sK33(sK34))
| ~ sP1(X7)
| ~ r1(X7,sK34)
| p2(sK23(sK33(sK34))) )
| spl41_13
| ~ spl41_17 ),
inference(resolution,[],[f3907,f111]) ).
fof(f111,plain,
! [X2,X0,X1] :
( ~ r1(X1,X2)
| p2(sK23(X2))
| ~ r1(X0,X1)
| ~ sP1(X0)
| p2(X2) ),
inference(cnf_transformation,[],[f51]) ).
fof(f3736,plain,
( ~ spl41_9
| spl41_81
| ~ spl41_84
| spl41_157
| ~ spl41_329
| ~ spl41_357
| ~ spl41_360
| ~ spl41_361 ),
inference(avatar_contradiction_clause,[],[f3735]) ).
fof(f3735,plain,
( $false
| ~ spl41_9
| spl41_81
| ~ spl41_84
| spl41_157
| ~ spl41_329
| ~ spl41_357
| ~ spl41_360
| ~ spl41_361 ),
inference(subsumption_resolution,[],[f3605,f2874]) ).
fof(f2874,plain,
( ~ p2(sK24(sK33(sK27(sK28))))
| ~ spl41_84
| spl41_157
| ~ spl41_357 ),
inference(subsumption_resolution,[],[f2871,f1061]) ).
fof(f1061,plain,
( ~ p2(sK33(sK27(sK28)))
| spl41_157 ),
inference(avatar_component_clause,[],[f1060]) ).
fof(f1060,plain,
( spl41_157
<=> p2(sK33(sK27(sK28))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_157])]) ).
fof(f2871,plain,
( p2(sK33(sK27(sK28)))
| ~ p2(sK24(sK33(sK27(sK28))))
| ~ spl41_84
| ~ spl41_357 ),
inference(resolution,[],[f2508,f642]) ).
fof(f642,plain,
( r1(sK27(sK28),sK33(sK27(sK28)))
| ~ spl41_84 ),
inference(avatar_component_clause,[],[f640]) ).
fof(f640,plain,
( spl41_84
<=> r1(sK27(sK28),sK33(sK27(sK28))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_84])]) ).
fof(f2508,plain,
( ! [X6] :
( ~ r1(sK27(sK28),X6)
| ~ p2(sK24(X6))
| p2(X6) )
| ~ spl41_357 ),
inference(avatar_component_clause,[],[f2507]) ).
fof(f2507,plain,
( spl41_357
<=> ! [X6] :
( ~ r1(sK27(sK28),X6)
| p2(X6)
| ~ p2(sK24(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_357])]) ).
fof(f3605,plain,
( p2(sK24(sK33(sK27(sK28))))
| ~ spl41_9
| spl41_81
| ~ spl41_84
| spl41_157
| ~ spl41_329
| ~ spl41_360
| ~ spl41_361 ),
inference(resolution,[],[f3369,f3288]) ).
fof(f3288,plain,
( ! [X0] :
( ~ r1(sK23(sK33(sK27(sK28))),X0)
| p2(X0) )
| ~ spl41_9
| spl41_81
| ~ spl41_84
| spl41_157
| ~ spl41_329
| ~ spl41_361 ),
inference(subsumption_resolution,[],[f3287,f2254]) ).
fof(f2254,plain,
( p2(sK23(sK33(sK27(sK28))))
| ~ spl41_329 ),
inference(avatar_component_clause,[],[f2252]) ).
fof(f2252,plain,
( spl41_329
<=> p2(sK23(sK33(sK27(sK28)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_329])]) ).
fof(f3287,plain,
( ! [X0] :
( ~ p2(sK23(sK33(sK27(sK28))))
| p2(X0)
| ~ r1(sK23(sK33(sK27(sK28))),X0) )
| ~ spl41_9
| spl41_81
| ~ spl41_84
| spl41_157
| ~ spl41_361 ),
inference(subsumption_resolution,[],[f3286,f626]) ).
fof(f626,plain,
( ~ p2(sK27(sK28))
| spl41_81 ),
inference(avatar_component_clause,[],[f625]) ).
fof(f625,plain,
( spl41_81
<=> p2(sK27(sK28)) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_81])]) ).
fof(f3286,plain,
( ! [X0] :
( ~ r1(sK23(sK33(sK27(sK28))),X0)
| p2(sK27(sK28))
| ~ p2(sK23(sK33(sK27(sK28))))
| p2(X0) )
| ~ spl41_9
| ~ spl41_84
| spl41_157
| ~ spl41_361 ),
inference(subsumption_resolution,[],[f3231,f365]) ).
fof(f365,plain,
( r1(sK28,sK27(sK28))
| ~ spl41_9 ),
inference(resolution,[],[f180,f112]) ).
fof(f112,plain,
! [X0] :
( ~ sP0(X0)
| r1(X0,sK27(X0)) ),
inference(cnf_transformation,[],[f57]) ).
fof(f3231,plain,
( ! [X0] :
( ~ r1(sK23(sK33(sK27(sK28))),X0)
| p2(X0)
| ~ p2(sK23(sK33(sK27(sK28))))
| ~ r1(sK28,sK27(sK28))
| p2(sK27(sK28)) )
| ~ spl41_84
| spl41_157
| ~ spl41_361 ),
inference(resolution,[],[f3197,f133]) ).
fof(f3197,plain,
( r1(sK33(sK27(sK28)),sK23(sK33(sK27(sK28))))
| ~ spl41_84
| spl41_157
| ~ spl41_361 ),
inference(subsumption_resolution,[],[f3194,f1061]) ).
fof(f3194,plain,
( r1(sK33(sK27(sK28)),sK23(sK33(sK27(sK28))))
| p2(sK33(sK27(sK28)))
| ~ spl41_84
| ~ spl41_361 ),
inference(resolution,[],[f2525,f642]) ).
fof(f2525,plain,
( ! [X6] :
( ~ r1(sK27(sK28),X6)
| r1(X6,sK23(X6))
| p2(X6) )
| ~ spl41_361 ),
inference(avatar_component_clause,[],[f2524]) ).
fof(f2524,plain,
( spl41_361
<=> ! [X6] :
( p2(X6)
| r1(X6,sK23(X6))
| ~ r1(sK27(sK28),X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_361])]) ).
fof(f3369,plain,
( r1(sK23(sK33(sK27(sK28))),sK24(sK33(sK27(sK28))))
| ~ spl41_84
| spl41_157
| ~ spl41_360 ),
inference(subsumption_resolution,[],[f3366,f1061]) ).
fof(f3366,plain,
( r1(sK23(sK33(sK27(sK28))),sK24(sK33(sK27(sK28))))
| p2(sK33(sK27(sK28)))
| ~ spl41_84
| ~ spl41_360 ),
inference(resolution,[],[f2521,f642]) ).
fof(f2521,plain,
( ! [X6] :
( ~ r1(sK27(sK28),X6)
| r1(sK23(X6),sK24(X6))
| p2(X6) )
| ~ spl41_360 ),
inference(avatar_component_clause,[],[f2520]) ).
fof(f2520,plain,
( spl41_360
<=> ! [X6] :
( p2(X6)
| ~ r1(sK27(sK28),X6)
| r1(sK23(X6),sK24(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_360])]) ).
fof(f2630,plain,
( spl41_370
| ~ spl41_375
| ~ spl41_9
| ~ spl41_90 ),
inference(avatar_split_clause,[],[f2625,f683,f178,f2627,f2600]) ).
fof(f2625,plain,
( ~ p2(sK26(sK9(sK28)))
| p2(sK9(sK28))
| ~ spl41_9
| ~ spl41_90 ),
inference(subsumption_resolution,[],[f2564,f180]) ).
fof(f2564,plain,
( p2(sK9(sK28))
| ~ p2(sK26(sK9(sK28)))
| ~ sP0(sK28)
| ~ spl41_90 ),
inference(resolution,[],[f685,f115]) ).
fof(f2624,plain,
( spl41_370
| spl41_374
| ~ spl41_9
| ~ spl41_90 ),
inference(avatar_split_clause,[],[f2619,f683,f178,f2621,f2600]) ).
fof(f2619,plain,
( r1(sK25(sK9(sK28)),sK26(sK9(sK28)))
| p2(sK9(sK28))
| ~ spl41_9
| ~ spl41_90 ),
inference(subsumption_resolution,[],[f2565,f180]) ).
fof(f2565,plain,
( p2(sK9(sK28))
| ~ sP0(sK28)
| r1(sK25(sK9(sK28)),sK26(sK9(sK28)))
| ~ spl41_90 ),
inference(resolution,[],[f685,f116]) ).
fof(f2613,plain,
( spl41_370
| ~ spl41_372
| ~ spl41_14
| ~ spl41_90 ),
inference(avatar_split_clause,[],[f2541,f683,f201,f2610,f2600]) ).
fof(f2541,plain,
( ~ p2(sK36(sK9(sK28)))
| p2(sK9(sK28))
| ~ spl41_14
| ~ spl41_90 ),
inference(resolution,[],[f685,f202]) ).
fof(f2526,plain,
( ~ spl41_89
| spl41_361
| ~ spl41_9 ),
inference(avatar_split_clause,[],[f2344,f178,f2524,f679]) ).
fof(f2344,plain,
( ! [X6] :
( p2(X6)
| ~ sP1(sK28)
| ~ r1(sK27(sK28),X6)
| r1(X6,sK23(X6)) )
| ~ spl41_9 ),
inference(resolution,[],[f108,f365]) ).
fof(f2522,plain,
( ~ spl41_89
| spl41_360
| ~ spl41_9 ),
inference(avatar_split_clause,[],[f2396,f178,f2520,f679]) ).
fof(f2396,plain,
( ! [X6] :
( p2(X6)
| r1(sK23(X6),sK24(X6))
| ~ r1(sK27(sK28),X6)
| ~ sP1(sK28) )
| ~ spl41_9 ),
inference(resolution,[],[f110,f365]) ).
fof(f2510,plain,
( ~ spl41_89
| ~ spl41_9
| ~ spl41_324 ),
inference(avatar_split_clause,[],[f2483,f2229,f178,f679]) ).
fof(f2229,plain,
( spl41_324
<=> ! [X3] :
( ~ sP1(X3)
| ~ r1(X3,sK27(sK28)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_324])]) ).
fof(f2483,plain,
( ~ sP1(sK28)
| ~ spl41_9
| ~ spl41_324 ),
inference(resolution,[],[f2230,f365]) ).
fof(f2230,plain,
( ! [X3] :
( ~ r1(X3,sK27(sK28))
| ~ sP1(X3) )
| ~ spl41_324 ),
inference(avatar_component_clause,[],[f2229]) ).
fof(f2509,plain,
( ~ spl41_89
| spl41_357
| ~ spl41_9 ),
inference(avatar_split_clause,[],[f1983,f178,f2507,f679]) ).
fof(f1983,plain,
( ! [X6] :
( ~ r1(sK27(sK28),X6)
| ~ p2(sK24(X6))
| ~ sP1(sK28)
| p2(X6) )
| ~ spl41_9 ),
inference(resolution,[],[f109,f365]) ).
fof(f2467,plain,
( ~ spl41_9
| spl41_81
| ~ spl41_157 ),
inference(avatar_contradiction_clause,[],[f2466]) ).
fof(f2466,plain,
( $false
| ~ spl41_9
| spl41_81
| ~ spl41_157 ),
inference(subsumption_resolution,[],[f2465,f365]) ).
fof(f2465,plain,
( ~ r1(sK28,sK27(sK28))
| spl41_81
| ~ spl41_157 ),
inference(subsumption_resolution,[],[f2464,f626]) ).
fof(f2464,plain,
( p2(sK27(sK28))
| ~ r1(sK28,sK27(sK28))
| ~ spl41_157 ),
inference(resolution,[],[f1062,f134]) ).
fof(f1062,plain,
( p2(sK33(sK27(sK28)))
| ~ spl41_157 ),
inference(avatar_component_clause,[],[f1060]) ).
fof(f2255,plain,
( spl41_329
| spl41_324
| spl41_157
| ~ spl41_84 ),
inference(avatar_split_clause,[],[f2151,f640,f1060,f2229,f2252]) ).
fof(f2151,plain,
( ! [X4] :
( p2(sK33(sK27(sK28)))
| ~ r1(X4,sK27(sK28))
| p2(sK23(sK33(sK27(sK28))))
| ~ sP1(X4) )
| ~ spl41_84 ),
inference(resolution,[],[f111,f642]) ).
fof(f1610,plain,
( ~ spl41_9
| ~ spl41_81 ),
inference(avatar_contradiction_clause,[],[f1609]) ).
fof(f1609,plain,
( $false
| ~ spl41_9
| ~ spl41_81 ),
inference(subsumption_resolution,[],[f1608,f180]) ).
fof(f1608,plain,
( ~ sP0(sK28)
| ~ spl41_81 ),
inference(resolution,[],[f627,f113]) ).
fof(f113,plain,
! [X0] :
( ~ p2(sK27(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f627,plain,
( p2(sK27(sK28))
| ~ spl41_81 ),
inference(avatar_component_clause,[],[f625]) ).
fof(f643,plain,
( spl41_84
| spl41_81
| ~ spl41_9 ),
inference(avatar_split_clause,[],[f608,f178,f625,f640]) ).
fof(f608,plain,
( p2(sK27(sK28))
| r1(sK27(sK28),sK33(sK27(sK28)))
| ~ spl41_9 ),
inference(resolution,[],[f365,f132]) ).
fof(f295,plain,
( ~ spl41_2
| ~ spl41_8
| ~ spl41_12 ),
inference(avatar_contradiction_clause,[],[f294]) ).
fof(f294,plain,
( $false
| ~ spl41_2
| ~ spl41_8
| ~ spl41_12 ),
inference(subsumption_resolution,[],[f284,f276]) ).
fof(f276,plain,
( p3(sK37(sK28))
| ~ spl41_8 ),
inference(resolution,[],[f176,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(f176,plain,
( ! [X20] :
( ~ r1(sK28,X20)
| p3(sK37(X20)) )
| ~ spl41_8 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f175,plain,
( spl41_8
<=> ! [X20] :
( p3(sK37(X20))
| ~ r1(sK28,X20) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_8])]) ).
fof(f284,plain,
( ~ p3(sK37(sK28))
| ~ spl41_2
| ~ spl41_12 ),
inference(resolution,[],[f279,f151]) ).
fof(f151,plain,
( ! [X19] :
( ~ r1(sK28,X19)
| ~ p3(X19) )
| ~ spl41_2 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f150,plain,
( spl41_2
<=> ! [X19] :
( ~ r1(sK28,X19)
| ~ p3(X19) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_2])]) ).
fof(f279,plain,
( r1(sK28,sK37(sK28))
| ~ spl41_12 ),
inference(resolution,[],[f193,f73]) ).
fof(f193,plain,
( ! [X20] :
( ~ r1(sK28,X20)
| r1(X20,sK37(X20)) )
| ~ spl41_12 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f192,plain,
( spl41_12
<=> ! [X20] :
( r1(X20,sK37(X20))
| ~ r1(sK28,X20) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_12])]) ).
fof(f216,plain,
( spl41_17
| spl41_2 ),
inference(avatar_split_clause,[],[f130,f150,f213]) ).
fof(f130,plain,
! [X19] :
( ~ p3(X19)
| r1(sK28,sK34)
| ~ r1(sK28,X19) ),
inference(cnf_transformation,[],[f72]) ).
fof(f211,plain,
( spl41_4
| spl41_16
| spl41_11 ),
inference(avatar_split_clause,[],[f142,f187,f209,f158]) ).
fof(f142,plain,
! [X6,X5] :
( sP2(sK29)
| p2(X6)
| ~ p2(X5)
| sP6(sK28)
| ~ r1(sK29,X5)
| ~ r1(X5,X6) ),
inference(cnf_transformation,[],[f72]) ).
fof(f207,plain,
( spl41_4
| spl41_15 ),
inference(avatar_split_clause,[],[f144,f205,f158]) ).
fof(f144,plain,
! [X2,X3,X4] :
( ~ r1(X3,X4)
| ~ r1(sK29,X2)
| sP6(sK28)
| ~ r1(X2,X3)
| sP4(X2)
| ~ p2(X3)
| sP5(X2)
| p2(X4) ),
inference(cnf_transformation,[],[f72]) ).
fof(f203,plain,
( spl41_14
| spl41_2 ),
inference(avatar_split_clause,[],[f126,f150,f201]) ).
fof(f126,plain,
! [X19,X16] :
( ~ p3(X19)
| ~ r1(sK28,X19)
| ~ p2(sK36(X16))
| ~ r1(sK28,X16)
| p2(X16) ),
inference(cnf_transformation,[],[f72]) ).
fof(f199,plain,
( spl41_2
| ~ spl41_13 ),
inference(avatar_split_clause,[],[f131,f196,f150]) ).
fof(f131,plain,
! [X19] :
( ~ p2(sK34)
| ~ p3(X19)
| ~ r1(sK28,X19) ),
inference(cnf_transformation,[],[f72]) ).
fof(f194,plain,
( spl41_9
| spl41_12 ),
inference(avatar_split_clause,[],[f124,f192,f178]) ).
fof(f124,plain,
! [X20] :
( r1(X20,sK37(X20))
| sP0(sK28)
| ~ r1(sK28,X20) ),
inference(cnf_transformation,[],[f72]) ).
fof(f190,plain,
( spl41_4
| ~ spl41_10
| spl41_11 ),
inference(avatar_split_clause,[],[f141,f187,f183,f158]) ).
fof(f141,plain,
( sP2(sK29)
| ~ p2(sK29)
| sP6(sK28) ),
inference(cnf_transformation,[],[f72]) ).
fof(f181,plain,
( spl41_8
| spl41_9 ),
inference(avatar_split_clause,[],[f125,f178,f175]) ).
fof(f125,plain,
! [X20] :
( sP0(sK28)
| p3(sK37(X20))
| ~ r1(sK28,X20) ),
inference(cnf_transformation,[],[f72]) ).
fof(f173,plain,
( spl41_7
| spl41_2 ),
inference(avatar_split_clause,[],[f127,f150,f171]) ).
fof(f127,plain,
! [X19,X16] :
( ~ p3(X19)
| ~ r1(sK28,X19)
| p2(X16)
| r1(sK35(X16),sK36(X16))
| ~ r1(sK28,X16) ),
inference(cnf_transformation,[],[f72]) ).
fof(f169,plain,
( spl41_4
| spl41_6 ),
inference(avatar_split_clause,[],[f143,f167,f158]) ).
fof(f143,plain,
! [X2] :
( ~ r1(sK29,X2)
| ~ p2(X2)
| sP6(sK28)
| sP4(X2)
| sP5(X2) ),
inference(cnf_transformation,[],[f72]) ).
fof(f165,plain,
( spl41_5
| spl41_2 ),
inference(avatar_split_clause,[],[f128,f150,f163]) ).
fof(f128,plain,
! [X19,X16] :
( ~ p3(X19)
| ~ r1(sK28,X19)
| ~ r1(sK28,X16)
| p2(X16)
| p2(sK35(X16)) ),
inference(cnf_transformation,[],[f72]) ).
fof(f161,plain,
( spl41_3
| spl41_4 ),
inference(avatar_split_clause,[],[f145,f158,f154]) ).
fof(f145,plain,
( sP6(sK28)
| r1(sK28,sK29) ),
inference(cnf_transformation,[],[f72]) ).
fof(f152,plain,
( spl41_1
| spl41_2 ),
inference(avatar_split_clause,[],[f129,f150,f147]) ).
fof(f129,plain,
! [X19,X16] :
( ~ r1(sK28,X19)
| r1(X16,sK35(X16))
| ~ p3(X19)
| p2(X16)
| ~ r1(sK28,X16) ),
inference(cnf_transformation,[],[f72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL660+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 02:29:50 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.56 % (6006)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.56 % (6016)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.57 % (6014)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.57 % (6024)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.57 % (6022)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.57 % (6008)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.57 % (6008)Instruction limit reached!
% 0.20/0.57 % (6008)------------------------------
% 0.20/0.57 % (6008)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (6008)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (6008)Termination reason: Unknown
% 0.20/0.57 % (6008)Termination phase: Naming
% 0.20/0.57
% 0.20/0.57 % (6008)Memory used [KB]: 895
% 0.20/0.57 % (6008)Time elapsed: 0.004 s
% 0.20/0.57 % (6008)Instructions burned: 2 (million)
% 0.20/0.57 % (6008)------------------------------
% 0.20/0.57 % (6008)------------------------------
% 0.20/0.57 TRYING [1]
% 0.20/0.58 TRYING [2]
% 0.20/0.59 TRYING [3]
% 0.20/0.61 TRYING [4]
% 0.20/0.61 % (6004)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.61 % (6007)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.61 % (6005)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.62 % (6025)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.62 % (6000)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.62 % (6018)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.62 % (6020)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.62 % (6021)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.63 % (6017)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.63 % (6009)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.63 % (6023)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.63 % (6012)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.63 % (6013)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.63 % (6026)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.63 % (6010)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.93/0.64 % (6015)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.93/0.64 % (6001)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.93/0.64 % (6029)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.93/0.64 % (6003)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.93/0.64 % (6007)Instruction limit reached!
% 1.93/0.64 % (6007)------------------------------
% 1.93/0.64 % (6007)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.64 % (6007)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.64 % (6007)Termination reason: Unknown
% 1.93/0.64 % (6007)Termination phase: Saturation
% 1.93/0.64
% 1.93/0.64 % (6007)Memory used [KB]: 5756
% 1.93/0.64 % (6007)Time elapsed: 0.201 s
% 1.93/0.64 % (6007)Instructions burned: 7 (million)
% 1.93/0.64 % (6007)------------------------------
% 1.93/0.64 % (6007)------------------------------
% 1.93/0.64 % (6002)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.93/0.64 % (6001)Refutation not found, incomplete strategy% (6001)------------------------------
% 1.93/0.64 % (6001)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.64 % (6001)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.64 % (6001)Termination reason: Refutation not found, incomplete strategy
% 1.93/0.64
% 1.93/0.64 % (6001)Memory used [KB]: 5628
% 1.93/0.64 % (6001)Time elapsed: 0.175 s
% 1.93/0.64 % (6001)Instructions burned: 6 (million)
% 1.93/0.64 % (6001)------------------------------
% 1.93/0.64 % (6001)------------------------------
% 1.93/0.64 % (6028)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.93/0.64 TRYING [1]
% 1.93/0.64 % (6006)Instruction limit reached!
% 1.93/0.64 % (6006)------------------------------
% 1.93/0.64 % (6006)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.64 % (6006)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.64 % (6006)Termination reason: Unknown
% 1.93/0.64 % (6006)Termination phase: Finite model building SAT solving
% 1.93/0.64
% 1.93/0.64 % (6006)Memory used [KB]: 6780
% 1.93/0.64 % (6006)Time elapsed: 0.177 s
% 1.93/0.64 % (6006)Instructions burned: 51 (million)
% 1.93/0.64 % (6006)------------------------------
% 1.93/0.64 % (6006)------------------------------
% 1.93/0.64 TRYING [2]
% 1.93/0.65 % (6019)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.32/0.65 TRYING [1]
% 2.32/0.66 % (6011)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.32/0.66 % (6027)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 2.41/0.67 TRYING [3]
% 2.41/0.68 TRYING [2]
% 2.41/0.68 TRYING [3]
% 2.41/0.69 % (6014)Instruction limit reached!
% 2.41/0.69 % (6014)------------------------------
% 2.41/0.69 % (6014)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.41/0.69 % (6014)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.41/0.69 % (6014)Termination reason: Unknown
% 2.41/0.69 % (6014)Termination phase: Saturation
% 2.41/0.69
% 2.41/0.69 % (6014)Memory used [KB]: 6268
% 2.41/0.69 % (6014)Time elapsed: 0.081 s
% 2.41/0.69 % (6014)Instructions burned: 68 (million)
% 2.41/0.69 % (6014)------------------------------
% 2.41/0.69 % (6014)------------------------------
% 2.41/0.70 TRYING [4]
% 2.41/0.71 TRYING [4]
% 2.73/0.74 % (6002)Instruction limit reached!
% 2.73/0.74 % (6002)------------------------------
% 2.73/0.74 % (6002)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.73/0.74 % (6002)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.73/0.74 % (6002)Termination reason: Unknown
% 2.73/0.74 % (6002)Termination phase: Saturation
% 2.73/0.74
% 2.73/0.74 % (6002)Memory used [KB]: 1407
% 2.73/0.74 % (6002)Time elapsed: 0.312 s
% 2.73/0.74 % (6002)Instructions burned: 37 (million)
% 2.73/0.74 % (6002)------------------------------
% 2.73/0.74 % (6002)------------------------------
% 2.93/0.75 % (6009)Instruction limit reached!
% 2.93/0.75 % (6009)------------------------------
% 2.93/0.75 % (6009)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.93/0.75 % (6009)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.93/0.75 % (6009)Termination reason: Unknown
% 2.93/0.75 % (6009)Termination phase: Saturation
% 2.93/0.75
% 2.93/0.75 % (6009)Memory used [KB]: 1535
% 2.93/0.75 % (6009)Time elapsed: 0.285 s
% 2.93/0.75 % (6009)Instructions burned: 52 (million)
% 2.93/0.75 % (6009)------------------------------
% 2.93/0.75 % (6009)------------------------------
% 2.93/0.75 % (6004)Instruction limit reached!
% 2.93/0.75 % (6004)------------------------------
% 2.93/0.75 % (6004)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.93/0.75 % (6004)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.93/0.75 % (6004)Termination reason: Unknown
% 2.93/0.75 % (6004)Termination phase: Saturation
% 2.93/0.75
% 2.93/0.75 % (6004)Memory used [KB]: 7803
% 2.93/0.75 % (6004)Time elapsed: 0.328 s
% 2.93/0.75 % (6004)Instructions burned: 51 (million)
% 2.93/0.75 % (6004)------------------------------
% 2.93/0.75 % (6004)------------------------------
% 2.93/0.75 % (6005)Instruction limit reached!
% 2.93/0.75 % (6005)------------------------------
% 2.93/0.75 % (6005)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.93/0.75 % (6005)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.93/0.75 % (6005)Termination reason: Unknown
% 2.93/0.75 % (6005)Termination phase: Saturation
% 2.93/0.75
% 2.93/0.75 % (6005)Memory used [KB]: 6268
% 2.93/0.75 % (6005)Time elapsed: 0.324 s
% 2.93/0.75 % (6005)Instructions burned: 48 (million)
% 2.93/0.75 % (6005)------------------------------
% 2.93/0.75 % (6005)------------------------------
% 2.93/0.76 % (6037)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 2.93/0.76 % (6017)Instruction limit reached!
% 2.93/0.76 % (6017)------------------------------
% 2.93/0.76 % (6017)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.93/0.76 % (6017)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.93/0.76 % (6017)Termination reason: Unknown
% 2.93/0.76 % (6017)Termination phase: Finite model building SAT solving
% 2.93/0.76
% 2.93/0.76 % (6017)Memory used [KB]: 7164
% 2.93/0.76 % (6017)Time elapsed: 0.233 s
% 2.93/0.76 % (6017)Instructions burned: 60 (million)
% 2.93/0.76 % (6017)------------------------------
% 2.93/0.76 % (6017)------------------------------
% 2.93/0.77 % (6010)Instruction limit reached!
% 2.93/0.77 % (6010)------------------------------
% 2.93/0.77 % (6010)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.93/0.77 % (6010)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.93/0.77 % (6010)Termination reason: Unknown
% 2.93/0.77 % (6010)Termination phase: Saturation
% 2.93/0.77
% 2.93/0.77 % (6010)Memory used [KB]: 6652
% 2.93/0.77 % (6010)Time elapsed: 0.344 s
% 2.93/0.77 % (6010)Instructions burned: 50 (million)
% 2.93/0.77 % (6010)------------------------------
% 2.93/0.77 % (6010)------------------------------
% 2.93/0.78 TRYING [5]
% 2.93/0.79 % (6003)Instruction limit reached!
% 2.93/0.79 % (6003)------------------------------
% 2.93/0.79 % (6003)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.93/0.79 % (6003)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.93/0.79 % (6003)Termination reason: Unknown
% 2.93/0.79 % (6003)Termination phase: Saturation
% 2.93/0.79
% 2.93/0.79 % (6003)Memory used [KB]: 7036
% 2.93/0.79 % (6003)Time elapsed: 0.343 s
% 2.93/0.79 % (6003)Instructions burned: 52 (million)
% 2.93/0.79 % (6003)------------------------------
% 2.93/0.79 % (6003)------------------------------
% 2.93/0.80 % (6016)Instruction limit reached!
% 2.93/0.80 % (6016)------------------------------
% 2.93/0.80 % (6016)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.93/0.80 % (6016)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.93/0.80 % (6016)Termination reason: Unknown
% 2.93/0.80 % (6016)Termination phase: Saturation
% 2.93/0.80
% 2.93/0.80 % (6016)Memory used [KB]: 7036
% 2.93/0.80 % (6016)Time elapsed: 0.352 s
% 2.93/0.80 % (6016)Instructions burned: 99 (million)
% 2.93/0.80 % (6016)------------------------------
% 2.93/0.80 % (6016)------------------------------
% 3.54/0.86 % (6026)Instruction limit reached!
% 3.54/0.86 % (6026)------------------------------
% 3.54/0.86 % (6026)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.54/0.86 % (6026)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.54/0.86 % (6026)Termination reason: Unknown
% 3.54/0.86 % (6026)Termination phase: Saturation
% 3.54/0.86
% 3.54/0.86 % (6026)Memory used [KB]: 6396
% 3.54/0.86 % (6026)Time elapsed: 0.056 s
% 3.54/0.86 % (6026)Instructions burned: 68 (million)
% 3.54/0.86 % (6026)------------------------------
% 3.54/0.86 % (6026)------------------------------
% 3.54/0.87 % (6022)Instruction limit reached!
% 3.54/0.87 % (6022)------------------------------
% 3.54/0.87 % (6022)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.54/0.87 % (6022)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.54/0.87 % (6022)Termination reason: Unknown
% 3.54/0.87 % (6022)Termination phase: Saturation
% 3.54/0.87
% 3.54/0.87 % (6022)Memory used [KB]: 1535
% 3.54/0.87 % (6022)Time elapsed: 0.415 s
% 3.54/0.87 % (6022)Instructions burned: 498 (million)
% 3.54/0.87 % (6022)------------------------------
% 3.54/0.87 % (6022)------------------------------
% 3.54/0.87 % (6054)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 3.54/0.87 % (6013)Instruction limit reached!
% 3.54/0.87 % (6013)------------------------------
% 3.54/0.87 % (6013)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.54/0.87 % (6013)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.54/0.87 % (6013)Termination reason: Unknown
% 3.54/0.87 % (6013)Termination phase: Saturation
% 3.54/0.87
% 3.54/0.87 % (6013)Memory used [KB]: 7803
% 3.54/0.87 % (6013)Time elapsed: 0.425 s
% 3.54/0.87 % (6013)Instructions burned: 99 (million)
% 3.54/0.87 % (6013)------------------------------
% 3.54/0.87 % (6013)------------------------------
% 3.54/0.88 % (6012)Instruction limit reached!
% 3.54/0.88 % (6012)------------------------------
% 3.54/0.88 % (6012)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.54/0.88 % (6012)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.54/0.88 % (6012)Termination reason: Unknown
% 3.54/0.88 % (6012)Termination phase: Saturation
% 3.54/0.88
% 3.54/0.88 % (6012)Memory used [KB]: 8059
% 3.54/0.88 % (6012)Time elapsed: 0.448 s
% 3.54/0.88 % (6012)Instructions burned: 101 (million)
% 3.54/0.88 % (6012)------------------------------
% 3.54/0.88 % (6012)------------------------------
% 3.84/0.88 % (6015)Instruction limit reached!
% 3.84/0.88 % (6015)------------------------------
% 3.84/0.88 % (6015)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.84/0.88 % (6015)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.84/0.88 % (6015)Termination reason: Unknown
% 3.84/0.88 % (6015)Termination phase: Saturation
% 3.84/0.88
% 3.84/0.88 % (6015)Memory used [KB]: 1663
% 3.84/0.88 % (6015)Time elapsed: 0.458 s
% 3.84/0.88 % (6015)Instructions burned: 76 (million)
% 3.84/0.88 % (6015)------------------------------
% 3.84/0.88 % (6015)------------------------------
% 3.84/0.92 % (6021)Instruction limit reached!
% 3.84/0.92 % (6021)------------------------------
% 3.84/0.92 % (6021)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.84/0.92 % (6021)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.84/0.92 % (6021)Termination reason: Unknown
% 3.84/0.92 % (6021)Termination phase: Saturation
% 3.84/0.92
% 3.84/0.92 % (6021)Memory used [KB]: 8571
% 3.84/0.92 % (6021)Time elapsed: 0.487 s
% 3.84/0.92 % (6021)Instructions burned: 138 (million)
% 3.84/0.92 % (6021)------------------------------
% 3.84/0.92 % (6021)------------------------------
% 3.84/0.92 % (6011)Instruction limit reached!
% 3.84/0.92 % (6011)------------------------------
% 3.84/0.92 % (6011)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.84/0.92 % (6011)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.84/0.92 % (6011)Termination reason: Unknown
% 3.84/0.92 % (6011)Termination phase: Saturation
% 3.84/0.92
% 3.84/0.92 % (6011)Memory used [KB]: 7291
% 3.84/0.92 % (6011)Time elapsed: 0.496 s
% 3.84/0.92 % (6011)Instructions burned: 100 (million)
% 3.84/0.92 % (6011)------------------------------
% 3.84/0.92 % (6011)------------------------------
% 3.84/0.92 % (6019)Instruction limit reached!
% 3.84/0.92 % (6019)------------------------------
% 3.84/0.92 % (6019)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.84/0.92 % (6019)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.84/0.92 % (6019)Termination reason: Unknown
% 3.84/0.92 % (6019)Termination phase: Saturation
% 3.84/0.92
% 3.84/0.92 % (6019)Memory used [KB]: 2046
% 3.84/0.92 % (6019)Time elapsed: 0.481 s
% 3.84/0.92 % (6019)Instructions burned: 100 (million)
% 3.84/0.92 % (6019)------------------------------
% 3.84/0.92 % (6019)------------------------------
% 3.84/0.92 % (6076)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4959Mi)
% 4.21/0.97 % (6055)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 4.21/0.97 % (6020)Instruction limit reached!
% 4.21/0.97 % (6020)------------------------------
% 4.21/0.97 % (6020)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.21/0.97 % (6020)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.21/0.97 % (6020)Termination reason: Unknown
% 4.21/0.97 % (6020)Termination phase: Saturation
% 4.21/0.97
% 4.21/0.97 % (6020)Memory used [KB]: 9466
% 4.21/0.97 % (6020)Time elapsed: 0.540 s
% 4.21/0.97 % (6020)Instructions burned: 177 (million)
% 4.21/0.97 % (6020)------------------------------
% 4.21/0.97 % (6020)------------------------------
% 4.21/0.98 % (6052)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 4.21/0.98 % (6071)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/3735Mi)
% 4.21/1.01 % (6018)Instruction limit reached!
% 4.21/1.01 % (6018)------------------------------
% 4.21/1.01 % (6018)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.21/1.01 % (6018)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.21/1.01 % (6018)Termination reason: Unknown
% 4.21/1.01 % (6018)Termination phase: Saturation
% 4.21/1.01
% 4.21/1.01 % (6018)Memory used [KB]: 7803
% 4.21/1.01 % (6018)Time elapsed: 0.586 s
% 4.21/1.01 % (6018)Instructions burned: 101 (million)
% 4.21/1.01 % (6018)------------------------------
% 4.21/1.01 % (6018)------------------------------
% 4.35/1.01 % (6070)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2016Mi)
% 4.35/1.01 % (6065)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 4.35/1.02 % (6058)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 4.35/1.03 % (6066)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/940Mi)
% 4.35/1.04 % (6089)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/1824Mi)
% 4.46/1.08 % (6028)First to succeed.
% 4.46/1.08 % (6027)Instruction limit reached!
% 4.46/1.08 % (6027)------------------------------
% 4.46/1.08 % (6027)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.46/1.08 % (6027)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.46/1.08 % (6027)Termination reason: Unknown
% 4.46/1.08 % (6027)Termination phase: Saturation
% 4.46/1.08
% 4.46/1.08 % (6027)Memory used [KB]: 2046
% 4.46/1.08 % (6027)Time elapsed: 0.656 s
% 4.46/1.08 % (6027)Instructions burned: 177 (million)
% 4.46/1.08 % (6027)------------------------------
% 4.46/1.08 % (6027)------------------------------
% 4.46/1.09 % (6028)Refutation found. Thanks to Tanya!
% 4.46/1.09 % SZS status Theorem for theBenchmark
% 4.46/1.09 % SZS output start Proof for theBenchmark
% See solution above
% 4.46/1.10 % (6028)------------------------------
% 4.46/1.10 % (6028)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.46/1.10 % (6028)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.46/1.10 % (6028)Termination reason: Refutation
% 4.46/1.10
% 4.46/1.10 % (6028)Memory used [KB]: 18293
% 4.46/1.10 % (6028)Time elapsed: 0.665 s
% 4.46/1.10 % (6028)Instructions burned: 378 (million)
% 4.46/1.10 % (6028)------------------------------
% 4.46/1.10 % (6028)------------------------------
% 4.46/1.10 % (5999)Success in time 0.741 s
%------------------------------------------------------------------------------