TSTP Solution File: MSC010+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : MSC010+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n028.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 17:51:46 EDT 2022
% Result : Theorem 1.46s 0.63s
% Output : Refutation 1.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 46
% Syntax : Number of formulae : 355 ( 26 unt; 0 def)
% Number of atoms : 2849 ( 471 equ)
% Maximal formula atoms : 68 ( 8 avg)
% Number of connectives : 3705 (1211 ~;1603 |; 760 &)
% ( 23 <=>; 108 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 36 ( 34 usr; 33 prp; 0-2 aty)
% Number of functors : 40 ( 40 usr; 38 con; 0-3 aty)
% Number of variables : 446 ( 318 !; 128 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f491,plain,
$false,
inference(avatar_sat_refutation,[],[f174,f230,f239,f250,f259,f260,f265,f274,f275,f276,f292,f307,f320,f333,f353,f368,f375,f407,f426,f473,f481,f482,f484,f490]) ).
fof(f490,plain,
( ~ spl31_2
| ~ spl31_27 ),
inference(avatar_contradiction_clause,[],[f489]) ).
fof(f489,plain,
( $false
| ~ spl31_2
| ~ spl31_27 ),
inference(subsumption_resolution,[],[f488,f475]) ).
fof(f475,plain,
( leq(sK24,n5)
| ~ spl31_2 ),
inference(resolution,[],[f172,f103]) ).
fof(f103,plain,
( ~ sP1
| leq(sK24,n5) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( ( leq(n0,sK23)
& leq(sK24,n5)
& gt(pv63,sK23)
& leq(sK23,n5)
& leq(n0,sK24)
& init != a_select3(id_ds1_filter_init,sK23,sK24) )
| ~ sP1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23,sK24])],[f50,f51]) ).
fof(f51,plain,
( ? [X0,X1] :
( leq(n0,X0)
& leq(X1,n5)
& gt(pv63,X0)
& leq(X0,n5)
& leq(n0,X1)
& init != a_select3(id_ds1_filter_init,X0,X1) )
=> ( leq(n0,sK23)
& leq(sK24,n5)
& gt(pv63,sK23)
& leq(sK23,n5)
& leq(n0,sK24)
& init != a_select3(id_ds1_filter_init,sK23,sK24) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
( ? [X0,X1] :
( leq(n0,X0)
& leq(X1,n5)
& gt(pv63,X0)
& leq(X0,n5)
& leq(n0,X1)
& init != a_select3(id_ds1_filter_init,X0,X1) )
| ~ sP1 ),
inference(rectify,[],[f49]) ).
fof(f49,plain,
( ? [X9,X8] :
( leq(n0,X9)
& leq(X8,n5)
& gt(pv63,X9)
& leq(X9,n5)
& leq(n0,X8)
& init != a_select3(id_ds1_filter_init,X9,X8) )
| ~ sP1 ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
( ? [X9,X8] :
( leq(n0,X9)
& leq(X8,n5)
& gt(pv63,X9)
& leq(X9,n5)
& leq(n0,X8)
& init != a_select3(id_ds1_filter_init,X9,X8) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f172,plain,
( sP1
| ~ spl31_2 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f171,plain,
( spl31_2
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl31_2])]) ).
fof(f488,plain,
( ~ leq(sK24,n5)
| ~ spl31_2
| ~ spl31_27 ),
inference(subsumption_resolution,[],[f487,f474]) ).
fof(f474,plain,
( leq(n0,sK24)
| ~ spl31_2 ),
inference(resolution,[],[f172,f100]) ).
fof(f100,plain,
( ~ sP1
| leq(n0,sK24) ),
inference(cnf_transformation,[],[f52]) ).
fof(f487,plain,
( ~ leq(n0,sK24)
| ~ leq(sK24,n5)
| ~ spl31_2
| ~ spl31_27 ),
inference(trivial_inequality_removal,[],[f486]) ).
fof(f486,plain,
( init != init
| ~ leq(n0,sK24)
| ~ leq(sK24,n5)
| ~ spl31_2
| ~ spl31_27 ),
inference(superposition,[],[f476,f454]) ).
fof(f454,plain,
( ! [X0] :
( init = a_select3(id_ds1_filter_init,sK23,X0)
| ~ leq(X0,n5)
| ~ leq(n0,X0) )
| ~ spl31_27 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f453,plain,
( spl31_27
<=> ! [X0] :
( init = a_select3(id_ds1_filter_init,sK23,X0)
| ~ leq(n0,X0)
| ~ leq(X0,n5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_27])]) ).
fof(f476,plain,
( init != a_select3(id_ds1_filter_init,sK23,sK24)
| ~ spl31_2 ),
inference(resolution,[],[f172,f99]) ).
fof(f99,plain,
( ~ sP1
| init != a_select3(id_ds1_filter_init,sK23,sK24) ),
inference(cnf_transformation,[],[f52]) ).
fof(f484,plain,
( ~ spl31_25
| spl31_27
| ~ spl31_1
| ~ spl31_26 ),
inference(avatar_split_clause,[],[f483,f449,f167,f453,f445]) ).
fof(f445,plain,
( spl31_25
<=> leq(n0,sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_25])]) ).
fof(f167,plain,
( spl31_1
<=> gt(sK30,sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1])]) ).
fof(f449,plain,
( spl31_26
<=> leq(sK23,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_26])]) ).
fof(f483,plain,
( ! [X0] :
( init = a_select3(id_ds1_filter_init,sK23,X0)
| ~ leq(n0,sK23)
| ~ leq(n0,X0)
| ~ leq(X0,n5) )
| ~ spl31_1
| ~ spl31_26 ),
inference(subsumption_resolution,[],[f468,f450]) ).
fof(f450,plain,
( leq(sK23,n5)
| ~ spl31_26 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f468,plain,
( ! [X0] :
( ~ leq(X0,n5)
| ~ leq(n0,sK23)
| ~ leq(n0,X0)
| ~ leq(sK23,n5)
| init = a_select3(id_ds1_filter_init,sK23,X0) )
| ~ spl31_1 ),
inference(resolution,[],[f153,f169]) ).
fof(f169,plain,
( gt(sK30,sK23)
| ~ spl31_1 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f153,plain,
! [X16,X17] :
( ~ gt(sK30,X16)
| ~ leq(X16,n5)
| ~ leq(n0,X17)
| ~ leq(n0,X16)
| init = a_select3(id_ds1_filter_init,X16,X17)
| ~ leq(X17,n5) ),
inference(definition_unfolding,[],[f119,f139]) ).
fof(f139,plain,
pv63 = sK30,
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
( ! [X0,X1] :
( ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| init = a_select3(dv_ds1_filter_init,X1,X0)
| ~ leq(X0,n0) )
& ! [X2,X3] :
( ~ leq(X3,n5)
| ~ leq(X2,n5)
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| init = a_select3(pminus_ds1_filter_init,X2,X3) )
& pv63 = sK30
& leq(sK29,n5)
& leq(sK30,n5)
& pv64 != sK29
& leq(n0,sK29)
& leq(n0,sK30)
& leq(sK29,pv64)
& init != a_select3(id_ds1_filter_init,sK30,sK29)
& leq(pv5,n998)
& ! [X6,X7] :
( ~ leq(X6,n5)
| ~ leq(X7,n2)
| ~ leq(n0,X6)
| ~ leq(n0,X7)
| init = a_select3(h_ds1_filter_init,X7,X6) )
& pv63 != pv64
& leq(pv64,n5)
& ! [X8,X9] :
( ~ leq(n0,X8)
| init = a_select3(xhatmin_ds1_filter_init,X9,X8)
| ~ leq(X9,n5)
| ~ leq(X8,n0)
| ~ leq(n0,X9) )
& ! [X10] :
( ~ leq(n0,X10)
| ~ leq(X10,pred(pv63))
| ! [X11] :
( ~ leq(X11,n5)
| ~ leq(n0,X11)
| init = a_select3(id_ds1_filter_init,X10,X11) ) )
& leq(n0,pv64)
& leq(n0,pv63)
& ! [X12,X13] :
( init = a_select3(phi_ds1_filter_init,X13,X12)
| ~ leq(X12,n5)
| ~ leq(n0,X13)
| ~ leq(n0,X12)
| ~ leq(X13,n5) )
& leq(pv63,n5)
& ! [X14,X15] :
( ~ leq(n0,X15)
| ~ leq(X15,n5)
| init = a_select3(q_ds1_filter_init,X15,X14)
| ~ leq(n0,X14)
| ~ leq(X14,n5) )
& leq(n0,pv5)
& ! [X16,X17] :
( init = a_select3(id_ds1_filter_init,X16,X17)
| ~ leq(n0,X16)
| ~ leq(n0,X17)
| ~ leq(X16,n5)
| ~ gt(pv63,X16)
| ~ leq(X17,n5) )
& ! [X18,X19] :
( pv63 != X19
| init = a_select3(id_ds1_filter_init,X19,X18)
| ~ leq(n0,X18)
| ~ leq(X19,n5)
| ~ leq(X18,n5)
| ~ leq(n0,X19)
| ~ gt(pv64,X18) )
& ! [X20,X21] :
( ~ leq(X21,n2)
| ~ leq(n0,X21)
| init = a_select3(r_ds1_filter_init,X21,X20)
| ~ leq(n0,X20)
| ~ leq(X20,n2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29,sK30])],[f61,f62]) ).
fof(f62,plain,
( ? [X4,X5] :
( pv63 = X5
& leq(X4,n5)
& leq(X5,n5)
& pv64 != X4
& leq(n0,X4)
& leq(n0,X5)
& leq(X4,pv64)
& init != a_select3(id_ds1_filter_init,X5,X4) )
=> ( pv63 = sK30
& leq(sK29,n5)
& leq(sK30,n5)
& pv64 != sK29
& leq(n0,sK29)
& leq(n0,sK30)
& leq(sK29,pv64)
& init != a_select3(id_ds1_filter_init,sK30,sK29) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
( ! [X0,X1] :
( ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| init = a_select3(dv_ds1_filter_init,X1,X0)
| ~ leq(X0,n0) )
& ! [X2,X3] :
( ~ leq(X3,n5)
| ~ leq(X2,n5)
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| init = a_select3(pminus_ds1_filter_init,X2,X3) )
& ? [X4,X5] :
( pv63 = X5
& leq(X4,n5)
& leq(X5,n5)
& pv64 != X4
& leq(n0,X4)
& leq(n0,X5)
& leq(X4,pv64)
& init != a_select3(id_ds1_filter_init,X5,X4) )
& leq(pv5,n998)
& ! [X6,X7] :
( ~ leq(X6,n5)
| ~ leq(X7,n2)
| ~ leq(n0,X6)
| ~ leq(n0,X7)
| init = a_select3(h_ds1_filter_init,X7,X6) )
& pv63 != pv64
& leq(pv64,n5)
& ! [X8,X9] :
( ~ leq(n0,X8)
| init = a_select3(xhatmin_ds1_filter_init,X9,X8)
| ~ leq(X9,n5)
| ~ leq(X8,n0)
| ~ leq(n0,X9) )
& ! [X10] :
( ~ leq(n0,X10)
| ~ leq(X10,pred(pv63))
| ! [X11] :
( ~ leq(X11,n5)
| ~ leq(n0,X11)
| init = a_select3(id_ds1_filter_init,X10,X11) ) )
& leq(n0,pv64)
& leq(n0,pv63)
& ! [X12,X13] :
( init = a_select3(phi_ds1_filter_init,X13,X12)
| ~ leq(X12,n5)
| ~ leq(n0,X13)
| ~ leq(n0,X12)
| ~ leq(X13,n5) )
& leq(pv63,n5)
& ! [X14,X15] :
( ~ leq(n0,X15)
| ~ leq(X15,n5)
| init = a_select3(q_ds1_filter_init,X15,X14)
| ~ leq(n0,X14)
| ~ leq(X14,n5) )
& leq(n0,pv5)
& ! [X16,X17] :
( init = a_select3(id_ds1_filter_init,X16,X17)
| ~ leq(n0,X16)
| ~ leq(n0,X17)
| ~ leq(X16,n5)
| ~ gt(pv63,X16)
| ~ leq(X17,n5) )
& ! [X18,X19] :
( pv63 != X19
| init = a_select3(id_ds1_filter_init,X19,X18)
| ~ leq(n0,X18)
| ~ leq(X19,n5)
| ~ leq(X18,n5)
| ~ leq(n0,X19)
| ~ gt(pv64,X18) )
& ! [X20,X21] :
( ~ leq(X21,n2)
| ~ leq(n0,X21)
| init = a_select3(r_ds1_filter_init,X21,X20)
| ~ leq(n0,X20)
| ~ leq(X20,n2) ) ),
inference(rectify,[],[f10]) ).
fof(f10,plain,
( ! [X12,X13] :
( ~ leq(n0,X12)
| ~ leq(n0,X13)
| ~ leq(X13,n5)
| init = a_select3(dv_ds1_filter_init,X13,X12)
| ~ leq(X12,n0) )
& ! [X1,X0] :
( ~ leq(X0,n5)
| ~ leq(X1,n5)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| init = a_select3(pminus_ds1_filter_init,X1,X0) )
& ? [X20,X21] :
( pv63 = X21
& leq(X20,n5)
& leq(X21,n5)
& pv64 != X20
& leq(n0,X20)
& leq(n0,X21)
& leq(X20,pv64)
& init != a_select3(id_ds1_filter_init,X21,X20) )
& leq(pv5,n998)
& ! [X16,X17] :
( ~ leq(X16,n5)
| ~ leq(X17,n2)
| ~ leq(n0,X16)
| ~ leq(n0,X17)
| init = a_select3(h_ds1_filter_init,X17,X16) )
& pv63 != pv64
& leq(pv64,n5)
& ! [X7,X6] :
( ~ leq(n0,X7)
| init = a_select3(xhatmin_ds1_filter_init,X6,X7)
| ~ leq(X6,n5)
| ~ leq(X7,n0)
| ~ leq(n0,X6) )
& ! [X14] :
( ~ leq(n0,X14)
| ~ leq(X14,pred(pv63))
| ! [X15] :
( ~ leq(X15,n5)
| ~ leq(n0,X15)
| init = a_select3(id_ds1_filter_init,X14,X15) ) )
& leq(n0,pv64)
& leq(n0,pv63)
& ! [X19,X18] :
( init = a_select3(phi_ds1_filter_init,X18,X19)
| ~ leq(X19,n5)
| ~ leq(n0,X18)
| ~ leq(n0,X19)
| ~ leq(X18,n5) )
& leq(pv63,n5)
& ! [X10,X11] :
( ~ leq(n0,X11)
| ~ leq(X11,n5)
| init = a_select3(q_ds1_filter_init,X11,X10)
| ~ leq(n0,X10)
| ~ leq(X10,n5) )
& leq(n0,pv5)
& ! [X4,X5] :
( init = a_select3(id_ds1_filter_init,X4,X5)
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,n5)
| ~ gt(pv63,X4)
| ~ leq(X5,n5) )
& ! [X3,X2] :
( pv63 != X2
| init = a_select3(id_ds1_filter_init,X2,X3)
| ~ leq(n0,X3)
| ~ leq(X2,n5)
| ~ leq(X3,n5)
| ~ leq(n0,X2)
| ~ gt(pv64,X3) )
& ! [X8,X9] :
( ~ leq(X9,n2)
| ~ leq(n0,X9)
| init = a_select3(r_ds1_filter_init,X9,X8)
| ~ leq(n0,X8)
| ~ leq(X8,n2) ) ),
inference(flattening,[],[f9]) ).
fof(f9,plain,
( ? [X20,X21] :
( init != a_select3(id_ds1_filter_init,X21,X20)
& pv64 != X20
& leq(X20,pv64)
& pv63 = X21
& leq(n0,X21)
& leq(X21,n5)
& leq(n0,X20)
& leq(X20,n5) )
& leq(pv64,n5)
& ! [X13,X12] :
( init = a_select3(dv_ds1_filter_init,X13,X12)
| ~ leq(X12,n0)
| ~ leq(X13,n5)
| ~ leq(n0,X13)
| ~ leq(n0,X12) )
& ! [X16,X17] :
( init = a_select3(h_ds1_filter_init,X17,X16)
| ~ leq(n0,X16)
| ~ leq(X17,n2)
| ~ leq(X16,n5)
| ~ leq(n0,X17) )
& ! [X1,X0] :
( init = a_select3(pminus_ds1_filter_init,X1,X0)
| ~ leq(X1,n5)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n5) )
& leq(n0,pv63)
& ! [X2,X3] :
( init = a_select3(id_ds1_filter_init,X2,X3)
| ~ gt(pv64,X3)
| pv63 != X2
| ~ leq(n0,X3)
| ~ leq(X2,n5)
| ~ leq(X3,n5)
| ~ leq(n0,X2) )
& ! [X19,X18] :
( init = a_select3(phi_ds1_filter_init,X18,X19)
| ~ leq(X19,n5)
| ~ leq(X18,n5)
| ~ leq(n0,X19)
| ~ leq(n0,X18) )
& ! [X4,X5] :
( init = a_select3(id_ds1_filter_init,X4,X5)
| ~ gt(pv63,X4)
| ~ leq(n0,X5)
| ~ leq(X4,n5)
| ~ leq(X5,n5)
| ~ leq(n0,X4) )
& ! [X10,X11] :
( init = a_select3(q_ds1_filter_init,X11,X10)
| ~ leq(X10,n5)
| ~ leq(X11,n5)
| ~ leq(n0,X11)
| ~ leq(n0,X10) )
& ! [X9,X8] :
( init = a_select3(r_ds1_filter_init,X9,X8)
| ~ leq(X9,n2)
| ~ leq(X8,n2)
| ~ leq(n0,X9)
| ~ leq(n0,X8) )
& leq(pv63,n5)
& leq(n0,pv64)
& leq(n0,pv5)
& ! [X7,X6] :
( init = a_select3(xhatmin_ds1_filter_init,X6,X7)
| ~ leq(n0,X6)
| ~ leq(X6,n5)
| ~ leq(n0,X7)
| ~ leq(X7,n0) )
& ! [X14] :
( ! [X15] :
( init = a_select3(id_ds1_filter_init,X14,X15)
| ~ leq(X15,n5)
| ~ leq(n0,X15) )
| ~ leq(X14,pred(pv63))
| ~ leq(n0,X14) )
& leq(pv5,n998)
& pv63 != pv64 ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
~ ( ( leq(pv64,n5)
& ! [X13,X12] :
( ( leq(X12,n0)
& leq(X13,n5)
& leq(n0,X13)
& leq(n0,X12) )
=> init = a_select3(dv_ds1_filter_init,X13,X12) )
& ! [X16,X17] :
( ( leq(n0,X16)
& leq(X17,n2)
& leq(X16,n5)
& leq(n0,X17) )
=> init = a_select3(h_ds1_filter_init,X17,X16) )
& ! [X1,X0] :
( ( leq(X1,n5)
& leq(n0,X0)
& leq(n0,X1)
& leq(X0,n5) )
=> init = a_select3(pminus_ds1_filter_init,X1,X0) )
& leq(n0,pv63)
& ! [X2,X3] :
( ( leq(n0,X3)
& leq(X2,n5)
& leq(X3,n5)
& leq(n0,X2) )
=> ( ( gt(pv64,X3)
& pv63 = X2 )
=> init = a_select3(id_ds1_filter_init,X2,X3) ) )
& ! [X19,X18] :
( ( leq(X19,n5)
& leq(X18,n5)
& leq(n0,X19)
& leq(n0,X18) )
=> init = a_select3(phi_ds1_filter_init,X18,X19) )
& ! [X4,X5] :
( ( leq(n0,X5)
& leq(X4,n5)
& leq(X5,n5)
& leq(n0,X4) )
=> ( gt(pv63,X4)
=> init = a_select3(id_ds1_filter_init,X4,X5) ) )
& ! [X10,X11] :
( ( leq(X10,n5)
& leq(X11,n5)
& leq(n0,X11)
& leq(n0,X10) )
=> init = a_select3(q_ds1_filter_init,X11,X10) )
& ! [X9,X8] :
( ( leq(X9,n2)
& leq(X8,n2)
& leq(n0,X9)
& leq(n0,X8) )
=> init = a_select3(r_ds1_filter_init,X9,X8) )
& leq(pv63,n5)
& leq(n0,pv64)
& leq(n0,pv5)
& ! [X7,X6] :
( ( leq(n0,X6)
& leq(X6,n5)
& leq(n0,X7)
& leq(X7,n0) )
=> init = a_select3(xhatmin_ds1_filter_init,X6,X7) )
& ! [X14] :
( ( leq(X14,pred(pv63))
& leq(n0,X14) )
=> ! [X15] :
( ( leq(X15,n5)
& leq(n0,X15) )
=> init = a_select3(id_ds1_filter_init,X14,X15) ) )
& leq(pv5,n998)
& pv63 != pv64 )
=> ! [X20,X21] :
( ( leq(n0,X21)
& leq(X21,n5)
& leq(n0,X20)
& leq(X20,n5) )
=> ( ( pv64 != X20
& leq(X20,pv64)
& pv63 = X21 )
=> init = a_select3(id_ds1_filter_init,X21,X20) ) ) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
~ ~ ~ ( ( leq(pv64,n5)
& ! [X13,X12] :
( ( leq(X12,n0)
& leq(X13,n5)
& leq(n0,X13)
& leq(n0,X12) )
=> init = a_select3(dv_ds1_filter_init,X13,X12) )
& ! [X16,X17] :
( ( leq(n0,X16)
& leq(X17,n2)
& leq(X16,n5)
& leq(n0,X17) )
=> init = a_select3(h_ds1_filter_init,X17,X16) )
& ! [X1,X0] :
( ( leq(X1,n5)
& leq(n0,X0)
& leq(n0,X1)
& leq(X0,n5) )
=> init = a_select3(pminus_ds1_filter_init,X1,X0) )
& leq(n0,pv63)
& ! [X2,X3] :
( ( leq(n0,X3)
& leq(X2,n5)
& leq(X3,n5)
& leq(n0,X2) )
=> ( ( gt(pv64,X3)
& pv63 = X2 )
=> init = a_select3(id_ds1_filter_init,X2,X3) ) )
& ! [X19,X18] :
( ( leq(X19,n5)
& leq(X18,n5)
& leq(n0,X19)
& leq(n0,X18) )
=> init = a_select3(phi_ds1_filter_init,X18,X19) )
& ! [X4,X5] :
( ( leq(n0,X5)
& leq(X4,n5)
& leq(X5,n5)
& leq(n0,X4) )
=> ( gt(pv63,X4)
=> init = a_select3(id_ds1_filter_init,X4,X5) ) )
& ! [X10,X11] :
( ( leq(X10,n5)
& leq(X11,n5)
& leq(n0,X11)
& leq(n0,X10) )
=> init = a_select3(q_ds1_filter_init,X11,X10) )
& ! [X9,X8] :
( ( leq(X9,n2)
& leq(X8,n2)
& leq(n0,X9)
& leq(n0,X8) )
=> init = a_select3(r_ds1_filter_init,X9,X8) )
& leq(pv63,n5)
& leq(n0,pv64)
& leq(n0,pv5)
& ! [X7,X6] :
( ( leq(n0,X6)
& leq(X6,n5)
& leq(n0,X7)
& leq(X7,n0) )
=> init = a_select3(xhatmin_ds1_filter_init,X6,X7) )
& ! [X14] :
( ( leq(X14,pred(pv63))
& leq(n0,X14) )
=> ! [X15] :
( ( leq(X15,n5)
& leq(n0,X15) )
=> init = a_select3(id_ds1_filter_init,X14,X15) ) )
& leq(pv5,n998)
& pv63 != pv64 )
=> ! [X20,X21] :
( ( leq(n0,X21)
& leq(X21,n5)
& leq(n0,X20)
& leq(X20,n5) )
=> ( ( pv64 != X20
& leq(X20,pv64)
& pv63 = X21 )
=> init = a_select3(id_ds1_filter_init,X21,X20) ) ) ),
inference(rectify,[],[f3]) ).
fof(f3,negated_conjecture,
~ ~ ~ ( ( ! [X13,X12] :
( ( leq(n0,X13)
& leq(X12,n5)
& leq(X13,n5)
& leq(n0,X12) )
=> init = a_select3(pminus_ds1_filter_init,X12,X13) )
& leq(pv64,n5)
& leq(n0,pv64)
& ! [X14,X15] :
( ( leq(n0,X14)
& leq(X15,n5)
& leq(X14,n5)
& leq(n0,X15) )
=> ( ( pv63 = X14
& gt(pv64,X15) )
=> init = a_select3(id_ds1_filter_init,X14,X15) ) )
& ! [X16,X17] :
( ( leq(X17,n5)
& leq(X16,n5)
& leq(n0,X16)
& leq(n0,X17) )
=> ( gt(pv63,X16)
=> init = a_select3(id_ds1_filter_init,X16,X17) ) )
& pv63 != pv64
& leq(n0,pv63)
& ! [X10,X11] :
( ( leq(X11,n0)
& leq(n0,X10)
& leq(n0,X11)
& leq(X10,n5) )
=> init = a_select3(xhatmin_ds1_filter_init,X10,X11) )
& ! [X9,X8] :
( ( leq(X9,n2)
& leq(n0,X9)
& leq(X8,n2)
& leq(n0,X8) )
=> init = a_select3(r_ds1_filter_init,X8,X9) )
& ! [X7,X6] :
( ( leq(X7,n5)
& leq(n0,X6)
& leq(n0,X7)
& leq(X6,n5) )
=> init = a_select3(q_ds1_filter_init,X6,X7) )
& leq(pv63,n5)
& leq(n0,pv5)
& ! [X5,X4] :
( ( leq(n0,X4)
& leq(X4,n5)
& leq(X5,n0)
& leq(n0,X5) )
=> init = a_select3(dv_ds1_filter_init,X4,X5) )
& ! [X18] :
( ( leq(n0,X18)
& leq(X18,pred(pv63)) )
=> ! [X19] :
( ( leq(X19,n5)
& leq(n0,X19) )
=> init = a_select3(id_ds1_filter_init,X18,X19) ) )
& ! [X1,X0] :
( ( leq(n0,X0)
& leq(X0,n2)
& leq(n0,X1)
& leq(X1,n5) )
=> a_select3(h_ds1_filter_init,X0,X1) = init )
& leq(pv5,n998)
& ! [X2,X3] :
( ( leq(X2,n5)
& leq(X3,n5)
& leq(n0,X2)
& leq(n0,X3) )
=> init = a_select3(phi_ds1_filter_init,X2,X3) ) )
=> ! [X21,X20] :
( ( leq(X21,n5)
& leq(X20,n5)
& leq(n0,X20)
& leq(n0,X21) )
=> ( ( pv63 = X20
& pv64 != X21
& leq(X21,pv64) )
=> init = a_select3(id_ds1_filter_init,X20,X21) ) ) ),
inference(negated_conjecture,[],[f2]) ).
fof(f2,conjecture,
~ ~ ( ( ! [X13,X12] :
( ( leq(n0,X13)
& leq(X12,n5)
& leq(X13,n5)
& leq(n0,X12) )
=> init = a_select3(pminus_ds1_filter_init,X12,X13) )
& leq(pv64,n5)
& leq(n0,pv64)
& ! [X14,X15] :
( ( leq(n0,X14)
& leq(X15,n5)
& leq(X14,n5)
& leq(n0,X15) )
=> ( ( pv63 = X14
& gt(pv64,X15) )
=> init = a_select3(id_ds1_filter_init,X14,X15) ) )
& ! [X16,X17] :
( ( leq(X17,n5)
& leq(X16,n5)
& leq(n0,X16)
& leq(n0,X17) )
=> ( gt(pv63,X16)
=> init = a_select3(id_ds1_filter_init,X16,X17) ) )
& pv63 != pv64
& leq(n0,pv63)
& ! [X10,X11] :
( ( leq(X11,n0)
& leq(n0,X10)
& leq(n0,X11)
& leq(X10,n5) )
=> init = a_select3(xhatmin_ds1_filter_init,X10,X11) )
& ! [X9,X8] :
( ( leq(X9,n2)
& leq(n0,X9)
& leq(X8,n2)
& leq(n0,X8) )
=> init = a_select3(r_ds1_filter_init,X8,X9) )
& ! [X7,X6] :
( ( leq(X7,n5)
& leq(n0,X6)
& leq(n0,X7)
& leq(X6,n5) )
=> init = a_select3(q_ds1_filter_init,X6,X7) )
& leq(pv63,n5)
& leq(n0,pv5)
& ! [X5,X4] :
( ( leq(n0,X4)
& leq(X4,n5)
& leq(X5,n0)
& leq(n0,X5) )
=> init = a_select3(dv_ds1_filter_init,X4,X5) )
& ! [X18] :
( ( leq(n0,X18)
& leq(X18,pred(pv63)) )
=> ! [X19] :
( ( leq(X19,n5)
& leq(n0,X19) )
=> init = a_select3(id_ds1_filter_init,X18,X19) ) )
& ! [X1,X0] :
( ( leq(n0,X0)
& leq(X0,n2)
& leq(n0,X1)
& leq(X1,n5) )
=> a_select3(h_ds1_filter_init,X0,X1) = init )
& leq(pv5,n998)
& ! [X2,X3] :
( ( leq(X2,n5)
& leq(X3,n5)
& leq(n0,X2)
& leq(n0,X3) )
=> init = a_select3(phi_ds1_filter_init,X2,X3) ) )
=> ! [X21,X20] :
( ( leq(X21,n5)
& leq(X20,n5)
& leq(n0,X20)
& leq(n0,X21) )
=> ( ( pv63 = X20
& pv64 != X21
& leq(X21,pv64) )
=> init = a_select3(id_ds1_filter_init,X20,X21) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n91) ).
fof(f119,plain,
! [X16,X17] :
( init = a_select3(id_ds1_filter_init,X16,X17)
| ~ leq(n0,X16)
| ~ leq(n0,X17)
| ~ leq(X16,n5)
| ~ gt(pv63,X16)
| ~ leq(X17,n5) ),
inference(cnf_transformation,[],[f63]) ).
fof(f482,plain,
( spl31_25
| ~ spl31_2 ),
inference(avatar_split_clause,[],[f477,f171,f445]) ).
fof(f477,plain,
( leq(n0,sK23)
| ~ spl31_2 ),
inference(resolution,[],[f172,f104]) ).
fof(f104,plain,
( ~ sP1
| leq(n0,sK23) ),
inference(cnf_transformation,[],[f52]) ).
fof(f481,plain,
( spl31_26
| ~ spl31_2 ),
inference(avatar_split_clause,[],[f478,f171,f449]) ).
fof(f478,plain,
( leq(sK23,n5)
| ~ spl31_2 ),
inference(resolution,[],[f172,f101]) ).
fof(f101,plain,
( ~ sP1
| leq(sK23,n5) ),
inference(cnf_transformation,[],[f52]) ).
fof(f473,plain,
( ~ spl31_7
| ~ spl31_16
| ~ spl31_17
| spl31_18
| ~ spl31_20 ),
inference(avatar_contradiction_clause,[],[f472]) ).
fof(f472,plain,
( $false
| ~ spl31_7
| ~ spl31_16
| ~ spl31_17
| spl31_18
| ~ spl31_20 ),
inference(subsumption_resolution,[],[f471,f238]) ).
fof(f238,plain,
( leq(n0,sK28)
| ~ spl31_16 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f236,plain,
( spl31_16
<=> leq(n0,sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_16])]) ).
fof(f471,plain,
( ~ leq(n0,sK28)
| ~ spl31_7
| ~ spl31_17
| spl31_18
| ~ spl31_20 ),
inference(subsumption_resolution,[],[f470,f249]) ).
fof(f249,plain,
( leq(sK28,n5)
| ~ spl31_17 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f247,plain,
( spl31_17
<=> leq(sK28,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_17])]) ).
fof(f470,plain,
( ~ leq(sK28,n5)
| ~ leq(n0,sK28)
| ~ spl31_7
| spl31_18
| ~ spl31_20 ),
inference(trivial_inequality_removal,[],[f469]) ).
fof(f469,plain,
( ~ leq(sK28,n5)
| init != init
| ~ leq(n0,sK28)
| ~ spl31_7
| spl31_18
| ~ spl31_20 ),
inference(superposition,[],[f258,f467]) ).
fof(f467,plain,
( ! [X0] :
( init = a_select3(id_ds1_filter_init,sK27,X0)
| ~ leq(X0,n5)
| ~ leq(n0,X0) )
| ~ spl31_7
| ~ spl31_20 ),
inference(subsumption_resolution,[],[f466,f273]) ).
fof(f273,plain,
( leq(n0,sK27)
| ~ spl31_20 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f271,plain,
( spl31_20
<=> leq(n0,sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_20])]) ).
fof(f466,plain,
( ! [X0] :
( ~ leq(n0,sK27)
| ~ leq(n0,X0)
| init = a_select3(id_ds1_filter_init,sK27,X0)
| ~ leq(X0,n5) )
| ~ spl31_7 ),
inference(resolution,[],[f150,f198]) ).
fof(f198,plain,
( leq(sK27,pred(sK30))
| ~ spl31_7 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f196,plain,
( spl31_7
<=> leq(sK27,pred(sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_7])]) ).
fof(f150,plain,
! [X10,X11] :
( ~ leq(X10,pred(sK30))
| ~ leq(n0,X10)
| ~ leq(X11,n5)
| ~ leq(n0,X11)
| init = a_select3(id_ds1_filter_init,X10,X11) ),
inference(definition_unfolding,[],[f126,f139]) ).
fof(f126,plain,
! [X10,X11] :
( ~ leq(n0,X10)
| ~ leq(X10,pred(pv63))
| ~ leq(X11,n5)
| ~ leq(n0,X11)
| init = a_select3(id_ds1_filter_init,X10,X11) ),
inference(cnf_transformation,[],[f63]) ).
fof(f258,plain,
( init != a_select3(id_ds1_filter_init,sK27,sK28)
| spl31_18 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f256,plain,
( spl31_18
<=> init = a_select3(id_ds1_filter_init,sK27,sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_18])]) ).
fof(f426,plain,
( ~ spl31_14
| ~ spl31_19 ),
inference(avatar_contradiction_clause,[],[f425]) ).
fof(f425,plain,
( $false
| ~ spl31_14
| ~ spl31_19 ),
inference(subsumption_resolution,[],[f424,f418]) ).
fof(f418,plain,
( init != a_select3(id_ds1_filter_init,sK26,sK25)
| ~ spl31_14 ),
inference(resolution,[],[f225,f110]) ).
fof(f110,plain,
( ~ sP0
| init != a_select3(id_ds1_filter_init,sK26,sK25) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
( ( gt(pv64,sK25)
& init != a_select3(id_ds1_filter_init,sK26,sK25)
& leq(sK26,n5)
& leq(n0,sK26)
& leq(sK25,n5)
& leq(n0,sK25)
& pv63 = sK26 )
| ~ sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25,sK26])],[f54,f55]) ).
fof(f55,plain,
( ? [X0,X1] :
( gt(pv64,X0)
& init != a_select3(id_ds1_filter_init,X1,X0)
& leq(X1,n5)
& leq(n0,X1)
& leq(X0,n5)
& leq(n0,X0)
& pv63 = X1 )
=> ( gt(pv64,sK25)
& init != a_select3(id_ds1_filter_init,sK26,sK25)
& leq(sK26,n5)
& leq(n0,sK26)
& leq(sK25,n5)
& leq(n0,sK25)
& pv63 = sK26 ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
( ? [X0,X1] :
( gt(pv64,X0)
& init != a_select3(id_ds1_filter_init,X1,X0)
& leq(X1,n5)
& leq(n0,X1)
& leq(X0,n5)
& leq(n0,X0)
& pv63 = X1 )
| ~ sP0 ),
inference(rectify,[],[f53]) ).
fof(f53,plain,
( ? [X19,X18] :
( gt(pv64,X19)
& init != a_select3(id_ds1_filter_init,X18,X19)
& leq(X18,n5)
& leq(n0,X18)
& leq(X19,n5)
& leq(n0,X19)
& pv63 = X18 )
| ~ sP0 ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
( ? [X19,X18] :
( gt(pv64,X19)
& init != a_select3(id_ds1_filter_init,X18,X19)
& leq(X18,n5)
& leq(n0,X18)
& leq(X19,n5)
& leq(n0,X19)
& pv63 = X18 )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f225,plain,
( sP0
| ~ spl31_14 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f223,plain,
( spl31_14
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl31_14])]) ).
fof(f424,plain,
( init = a_select3(id_ds1_filter_init,sK26,sK25)
| ~ spl31_14
| ~ spl31_19 ),
inference(subsumption_resolution,[],[f423,f414]) ).
fof(f414,plain,
( leq(n0,sK25)
| ~ spl31_14 ),
inference(resolution,[],[f225,f106]) ).
fof(f106,plain,
( ~ sP0
| leq(n0,sK25) ),
inference(cnf_transformation,[],[f56]) ).
fof(f423,plain,
( ~ leq(n0,sK25)
| init = a_select3(id_ds1_filter_init,sK26,sK25)
| ~ spl31_14
| ~ spl31_19 ),
inference(subsumption_resolution,[],[f422,f415]) ).
fof(f415,plain,
( leq(sK25,n5)
| ~ spl31_14 ),
inference(resolution,[],[f225,f107]) ).
fof(f107,plain,
( ~ sP0
| leq(sK25,n5) ),
inference(cnf_transformation,[],[f56]) ).
fof(f422,plain,
( ~ leq(sK25,n5)
| init = a_select3(id_ds1_filter_init,sK26,sK25)
| ~ leq(n0,sK25)
| ~ spl31_14
| ~ spl31_19 ),
inference(resolution,[],[f419,f413]) ).
fof(f413,plain,
( ! [X18] :
( ~ gt(pv64,X18)
| init = a_select3(id_ds1_filter_init,sK26,X18)
| ~ leq(n0,X18)
| ~ leq(X18,n5) )
| ~ spl31_19 ),
inference(backward_demodulation,[],[f241,f264]) ).
fof(f264,plain,
( sK26 = sK30
| ~ spl31_19 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f262,plain,
( spl31_19
<=> sK26 = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl31_19])]) ).
fof(f241,plain,
! [X18] :
( ~ gt(pv64,X18)
| init = a_select3(id_ds1_filter_init,sK30,X18)
| ~ leq(X18,n5)
| ~ leq(n0,X18) ),
inference(subsumption_resolution,[],[f240,f137]) ).
fof(f137,plain,
leq(sK30,n5),
inference(cnf_transformation,[],[f63]) ).
fof(f240,plain,
! [X18] :
( ~ gt(pv64,X18)
| ~ leq(X18,n5)
| ~ leq(n0,X18)
| init = a_select3(id_ds1_filter_init,sK30,X18)
| ~ leq(sK30,n5) ),
inference(subsumption_resolution,[],[f160,f134]) ).
fof(f134,plain,
leq(n0,sK30),
inference(cnf_transformation,[],[f63]) ).
fof(f160,plain,
! [X18] :
( ~ leq(n0,sK30)
| ~ leq(sK30,n5)
| ~ leq(X18,n5)
| init = a_select3(id_ds1_filter_init,sK30,X18)
| ~ gt(pv64,X18)
| ~ leq(n0,X18) ),
inference(equality_resolution,[],[f154]) ).
fof(f154,plain,
! [X18,X19] :
( sK30 != X19
| init = a_select3(id_ds1_filter_init,X19,X18)
| ~ leq(n0,X18)
| ~ leq(X19,n5)
| ~ leq(X18,n5)
| ~ leq(n0,X19)
| ~ gt(pv64,X18) ),
inference(definition_unfolding,[],[f118,f139]) ).
fof(f118,plain,
! [X18,X19] :
( pv63 != X19
| init = a_select3(id_ds1_filter_init,X19,X18)
| ~ leq(n0,X18)
| ~ leq(X19,n5)
| ~ leq(X18,n5)
| ~ leq(n0,X19)
| ~ gt(pv64,X18) ),
inference(cnf_transformation,[],[f63]) ).
fof(f419,plain,
( gt(pv64,sK25)
| ~ spl31_14 ),
inference(resolution,[],[f225,f111]) ).
fof(f111,plain,
( ~ sP0
| gt(pv64,sK25) ),
inference(cnf_transformation,[],[f56]) ).
fof(f407,plain,
~ spl31_13,
inference(avatar_contradiction_clause,[],[f406]) ).
fof(f406,plain,
( $false
| ~ spl31_13 ),
inference(subsumption_resolution,[],[f405,f395]) ).
fof(f395,plain,
( leq(sK10,n5)
| ~ spl31_13 ),
inference(resolution,[],[f221,f64]) ).
fof(f64,plain,
( ~ sP8
| leq(sK10,n5) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
( ( init != a_select3(xhatmin_ds1_filter_init,sK10,sK9)
& leq(n0,sK9)
& leq(n0,sK10)
& leq(sK9,n0)
& leq(sK10,n5) )
| ~ sP8 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f22,f23]) ).
fof(f23,plain,
( ? [X0,X1] :
( init != a_select3(xhatmin_ds1_filter_init,X1,X0)
& leq(n0,X0)
& leq(n0,X1)
& leq(X0,n0)
& leq(X1,n5) )
=> ( init != a_select3(xhatmin_ds1_filter_init,sK10,sK9)
& leq(n0,sK9)
& leq(n0,sK10)
& leq(sK9,n0)
& leq(sK10,n5) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
( ? [X0,X1] :
( init != a_select3(xhatmin_ds1_filter_init,X1,X0)
& leq(n0,X0)
& leq(n0,X1)
& leq(X0,n0)
& leq(X1,n5) )
| ~ sP8 ),
inference(rectify,[],[f21]) ).
fof(f21,plain,
( ? [X10,X11] :
( init != a_select3(xhatmin_ds1_filter_init,X11,X10)
& leq(n0,X10)
& leq(n0,X11)
& leq(X10,n0)
& leq(X11,n5) )
| ~ sP8 ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
( ? [X10,X11] :
( init != a_select3(xhatmin_ds1_filter_init,X11,X10)
& leq(n0,X10)
& leq(n0,X11)
& leq(X10,n0)
& leq(X11,n5) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f221,plain,
( sP8
| ~ spl31_13 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f219,plain,
( spl31_13
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl31_13])]) ).
fof(f405,plain,
( ~ leq(sK10,n5)
| ~ spl31_13 ),
inference(subsumption_resolution,[],[f404,f397]) ).
fof(f397,plain,
( leq(n0,sK10)
| ~ spl31_13 ),
inference(resolution,[],[f221,f66]) ).
fof(f66,plain,
( ~ sP8
| leq(n0,sK10) ),
inference(cnf_transformation,[],[f24]) ).
fof(f404,plain,
( ~ leq(n0,sK10)
| ~ leq(sK10,n5)
| ~ spl31_13 ),
inference(trivial_inequality_removal,[],[f403]) ).
fof(f403,plain,
( ~ leq(n0,sK10)
| init != init
| ~ leq(sK10,n5)
| ~ spl31_13 ),
inference(superposition,[],[f393,f400]) ).
fof(f400,plain,
( ! [X1] :
( init = a_select3(xhatmin_ds1_filter_init,X1,sK9)
| ~ leq(n0,X1)
| ~ leq(X1,n5) )
| ~ spl31_13 ),
inference(subsumption_resolution,[],[f399,f394]) ).
fof(f394,plain,
( leq(n0,sK9)
| ~ spl31_13 ),
inference(resolution,[],[f221,f67]) ).
fof(f67,plain,
( ~ sP8
| leq(n0,sK9) ),
inference(cnf_transformation,[],[f24]) ).
fof(f399,plain,
( ! [X1] :
( ~ leq(X1,n5)
| ~ leq(n0,X1)
| init = a_select3(xhatmin_ds1_filter_init,X1,sK9)
| ~ leq(n0,sK9) )
| ~ spl31_13 ),
inference(resolution,[],[f396,f127]) ).
fof(f127,plain,
! [X8,X9] :
( ~ leq(X8,n0)
| ~ leq(X9,n5)
| ~ leq(n0,X9)
| ~ leq(n0,X8)
| init = a_select3(xhatmin_ds1_filter_init,X9,X8) ),
inference(cnf_transformation,[],[f63]) ).
fof(f396,plain,
( leq(sK9,n0)
| ~ spl31_13 ),
inference(resolution,[],[f221,f65]) ).
fof(f65,plain,
( ~ sP8
| leq(sK9,n0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f393,plain,
( init != a_select3(xhatmin_ds1_filter_init,sK10,sK9)
| ~ spl31_13 ),
inference(resolution,[],[f221,f68]) ).
fof(f68,plain,
( ~ sP8
| init != a_select3(xhatmin_ds1_filter_init,sK10,sK9) ),
inference(cnf_transformation,[],[f24]) ).
fof(f375,plain,
~ spl31_12,
inference(avatar_contradiction_clause,[],[f374]) ).
fof(f374,plain,
( $false
| ~ spl31_12 ),
inference(subsumption_resolution,[],[f373,f135]) ).
fof(f135,plain,
leq(n0,sK29),
inference(cnf_transformation,[],[f63]) ).
fof(f373,plain,
( ~ leq(n0,sK29)
| ~ spl31_12 ),
inference(subsumption_resolution,[],[f372,f132]) ).
fof(f132,plain,
init != a_select3(id_ds1_filter_init,sK30,sK29),
inference(cnf_transformation,[],[f63]) ).
fof(f372,plain,
( init = a_select3(id_ds1_filter_init,sK30,sK29)
| ~ leq(n0,sK29)
| ~ spl31_12 ),
inference(subsumption_resolution,[],[f371,f138]) ).
fof(f138,plain,
leq(sK29,n5),
inference(cnf_transformation,[],[f63]) ).
fof(f371,plain,
( ~ leq(sK29,n5)
| ~ leq(n0,sK29)
| init = a_select3(id_ds1_filter_init,sK30,sK29)
| ~ spl31_12 ),
inference(subsumption_resolution,[],[f370,f136]) ).
fof(f136,plain,
pv64 != sK29,
inference(cnf_transformation,[],[f63]) ).
fof(f370,plain,
( pv64 = sK29
| init = a_select3(id_ds1_filter_init,sK30,sK29)
| ~ leq(sK29,n5)
| ~ leq(n0,sK29)
| ~ spl31_12 ),
inference(resolution,[],[f217,f133]) ).
fof(f133,plain,
leq(sK29,pv64),
inference(cnf_transformation,[],[f63]) ).
fof(f217,plain,
( ! [X3] :
( ~ leq(X3,pv64)
| pv64 = X3
| ~ leq(X3,n5)
| init = a_select3(id_ds1_filter_init,sK30,X3)
| ~ leq(n0,X3) )
| ~ spl31_12 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f216,plain,
( spl31_12
<=> ! [X3] :
( pv64 = X3
| ~ leq(X3,n5)
| init = a_select3(id_ds1_filter_init,sK30,X3)
| ~ leq(n0,X3)
| ~ leq(X3,pv64) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_12])]) ).
fof(f368,plain,
~ spl31_11,
inference(avatar_contradiction_clause,[],[f367]) ).
fof(f367,plain,
( $false
| ~ spl31_11 ),
inference(subsumption_resolution,[],[f366,f358]) ).
fof(f358,plain,
( leq(sK16,n5)
| ~ spl31_11 ),
inference(resolution,[],[f214,f82]) ).
fof(f82,plain,
( ~ sP5
| leq(sK16,n5) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( ( leq(n0,sK16)
& leq(sK16,n5)
& leq(sK15,n0)
& init != a_select3(dv_ds1_filter_init,sK16,sK15)
& leq(n0,sK15) )
| ~ sP5 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16])],[f34,f35]) ).
fof(f35,plain,
( ? [X0,X1] :
( leq(n0,X1)
& leq(X1,n5)
& leq(X0,n0)
& init != a_select3(dv_ds1_filter_init,X1,X0)
& leq(n0,X0) )
=> ( leq(n0,sK16)
& leq(sK16,n5)
& leq(sK15,n0)
& init != a_select3(dv_ds1_filter_init,sK16,sK15)
& leq(n0,sK15) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
( ? [X0,X1] :
( leq(n0,X1)
& leq(X1,n5)
& leq(X0,n0)
& init != a_select3(dv_ds1_filter_init,X1,X0)
& leq(n0,X0) )
| ~ sP5 ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
( ? [X16,X17] :
( leq(n0,X17)
& leq(X17,n5)
& leq(X16,n0)
& init != a_select3(dv_ds1_filter_init,X17,X16)
& leq(n0,X16) )
| ~ sP5 ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
( ? [X16,X17] :
( leq(n0,X17)
& leq(X17,n5)
& leq(X16,n0)
& init != a_select3(dv_ds1_filter_init,X17,X16)
& leq(n0,X16) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f214,plain,
( sP5
| ~ spl31_11 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f212,plain,
( spl31_11
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl31_11])]) ).
fof(f366,plain,
( ~ leq(sK16,n5)
| ~ spl31_11 ),
inference(subsumption_resolution,[],[f365,f355]) ).
fof(f355,plain,
( leq(n0,sK16)
| ~ spl31_11 ),
inference(resolution,[],[f214,f83]) ).
fof(f83,plain,
( ~ sP5
| leq(n0,sK16) ),
inference(cnf_transformation,[],[f36]) ).
fof(f365,plain,
( ~ leq(n0,sK16)
| ~ leq(sK16,n5)
| ~ spl31_11 ),
inference(trivial_inequality_removal,[],[f364]) ).
fof(f364,plain,
( ~ leq(n0,sK16)
| init != init
| ~ leq(sK16,n5)
| ~ spl31_11 ),
inference(superposition,[],[f354,f362]) ).
fof(f362,plain,
( ! [X0] :
( init = a_select3(dv_ds1_filter_init,X0,sK15)
| ~ leq(X0,n5)
| ~ leq(n0,X0) )
| ~ spl31_11 ),
inference(subsumption_resolution,[],[f359,f356]) ).
fof(f356,plain,
( leq(n0,sK15)
| ~ spl31_11 ),
inference(resolution,[],[f214,f79]) ).
fof(f79,plain,
( ~ sP5
| leq(n0,sK15) ),
inference(cnf_transformation,[],[f36]) ).
fof(f359,plain,
( ! [X0] :
( ~ leq(n0,X0)
| ~ leq(n0,sK15)
| ~ leq(X0,n5)
| init = a_select3(dv_ds1_filter_init,X0,sK15) )
| ~ spl31_11 ),
inference(resolution,[],[f357,f141]) ).
fof(f141,plain,
! [X0,X1] :
( ~ leq(X0,n0)
| init = a_select3(dv_ds1_filter_init,X1,X0)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f357,plain,
( leq(sK15,n0)
| ~ spl31_11 ),
inference(resolution,[],[f214,f81]) ).
fof(f81,plain,
( ~ sP5
| leq(sK15,n0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f354,plain,
( init != a_select3(dv_ds1_filter_init,sK16,sK15)
| ~ spl31_11 ),
inference(resolution,[],[f214,f80]) ).
fof(f80,plain,
( ~ sP5
| init != a_select3(dv_ds1_filter_init,sK16,sK15) ),
inference(cnf_transformation,[],[f36]) ).
fof(f353,plain,
~ spl31_10,
inference(avatar_contradiction_clause,[],[f352]) ).
fof(f352,plain,
( $false
| ~ spl31_10 ),
inference(subsumption_resolution,[],[f351,f337]) ).
fof(f337,plain,
( leq(n0,sK14)
| ~ spl31_10 ),
inference(resolution,[],[f210,f77]) ).
fof(f77,plain,
( ~ sP6
| leq(n0,sK14) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
( ( init != a_select3(r_ds1_filter_init,sK13,sK14)
& leq(n0,sK14)
& leq(sK14,n2)
& leq(n0,sK13)
& leq(sK13,n2) )
| ~ sP6 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f30,f31]) ).
fof(f31,plain,
( ? [X0,X1] :
( init != a_select3(r_ds1_filter_init,X0,X1)
& leq(n0,X1)
& leq(X1,n2)
& leq(n0,X0)
& leq(X0,n2) )
=> ( init != a_select3(r_ds1_filter_init,sK13,sK14)
& leq(n0,sK14)
& leq(sK14,n2)
& leq(n0,sK13)
& leq(sK13,n2) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
( ? [X0,X1] :
( init != a_select3(r_ds1_filter_init,X0,X1)
& leq(n0,X1)
& leq(X1,n2)
& leq(n0,X0)
& leq(X0,n2) )
| ~ sP6 ),
inference(rectify,[],[f29]) ).
fof(f29,plain,
( ? [X12,X13] :
( init != a_select3(r_ds1_filter_init,X12,X13)
& leq(n0,X13)
& leq(X13,n2)
& leq(n0,X12)
& leq(X12,n2) )
| ~ sP6 ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
( ? [X12,X13] :
( init != a_select3(r_ds1_filter_init,X12,X13)
& leq(n0,X13)
& leq(X13,n2)
& leq(n0,X12)
& leq(X12,n2) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f210,plain,
( sP6
| ~ spl31_10 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f208,plain,
( spl31_10
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl31_10])]) ).
fof(f351,plain,
( ~ leq(n0,sK14)
| ~ spl31_10 ),
inference(subsumption_resolution,[],[f349,f336]) ).
fof(f336,plain,
( init != a_select3(r_ds1_filter_init,sK13,sK14)
| ~ spl31_10 ),
inference(resolution,[],[f210,f78]) ).
fof(f78,plain,
( ~ sP6
| init != a_select3(r_ds1_filter_init,sK13,sK14) ),
inference(cnf_transformation,[],[f32]) ).
fof(f349,plain,
( init = a_select3(r_ds1_filter_init,sK13,sK14)
| ~ leq(n0,sK14)
| ~ spl31_10 ),
inference(resolution,[],[f341,f338]) ).
fof(f338,plain,
( leq(sK14,n2)
| ~ spl31_10 ),
inference(resolution,[],[f210,f76]) ).
fof(f76,plain,
( ~ sP6
| leq(sK14,n2) ),
inference(cnf_transformation,[],[f32]) ).
fof(f341,plain,
( ! [X1] :
( ~ leq(X1,n2)
| init = a_select3(r_ds1_filter_init,sK13,X1)
| ~ leq(n0,X1) )
| ~ spl31_10 ),
inference(subsumption_resolution,[],[f340,f334]) ).
fof(f334,plain,
( leq(n0,sK13)
| ~ spl31_10 ),
inference(resolution,[],[f210,f75]) ).
fof(f75,plain,
( ~ sP6
| leq(n0,sK13) ),
inference(cnf_transformation,[],[f32]) ).
fof(f340,plain,
( ! [X1] :
( ~ leq(n0,X1)
| init = a_select3(r_ds1_filter_init,sK13,X1)
| ~ leq(n0,sK13)
| ~ leq(X1,n2) )
| ~ spl31_10 ),
inference(resolution,[],[f335,f117]) ).
fof(f117,plain,
! [X21,X20] :
( ~ leq(X21,n2)
| ~ leq(n0,X21)
| ~ leq(n0,X20)
| init = a_select3(r_ds1_filter_init,X21,X20)
| ~ leq(X20,n2) ),
inference(cnf_transformation,[],[f63]) ).
fof(f335,plain,
( leq(sK13,n2)
| ~ spl31_10 ),
inference(resolution,[],[f210,f74]) ).
fof(f74,plain,
( ~ sP6
| leq(sK13,n2) ),
inference(cnf_transformation,[],[f32]) ).
fof(f333,plain,
~ spl31_6,
inference(avatar_contradiction_clause,[],[f332]) ).
fof(f332,plain,
( $false
| ~ spl31_6 ),
inference(subsumption_resolution,[],[f331,f323]) ).
fof(f323,plain,
( leq(n0,sK18)
| ~ spl31_6 ),
inference(resolution,[],[f194,f88]) ).
fof(f88,plain,
( ~ sP4
| leq(n0,sK18) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
( ( leq(n0,sK18)
& leq(n0,sK17)
& leq(sK17,n5)
& init != a_select3(q_ds1_filter_init,sK18,sK17)
& leq(sK18,n5) )
| ~ sP4 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18])],[f38,f39]) ).
fof(f39,plain,
( ? [X0,X1] :
( leq(n0,X1)
& leq(n0,X0)
& leq(X0,n5)
& init != a_select3(q_ds1_filter_init,X1,X0)
& leq(X1,n5) )
=> ( leq(n0,sK18)
& leq(n0,sK17)
& leq(sK17,n5)
& init != a_select3(q_ds1_filter_init,sK18,sK17)
& leq(sK18,n5) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
( ? [X0,X1] :
( leq(n0,X1)
& leq(n0,X0)
& leq(X0,n5)
& init != a_select3(q_ds1_filter_init,X1,X0)
& leq(X1,n5) )
| ~ sP4 ),
inference(rectify,[],[f37]) ).
fof(f37,plain,
( ? [X7,X6] :
( leq(n0,X6)
& leq(n0,X7)
& leq(X7,n5)
& init != a_select3(q_ds1_filter_init,X6,X7)
& leq(X6,n5) )
| ~ sP4 ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
( ? [X7,X6] :
( leq(n0,X6)
& leq(n0,X7)
& leq(X7,n5)
& init != a_select3(q_ds1_filter_init,X6,X7)
& leq(X6,n5) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f194,plain,
( sP4
| ~ spl31_6 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f192,plain,
( spl31_6
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl31_6])]) ).
fof(f331,plain,
( ~ leq(n0,sK18)
| ~ spl31_6 ),
inference(subsumption_resolution,[],[f330,f322]) ).
fof(f322,plain,
( leq(sK18,n5)
| ~ spl31_6 ),
inference(resolution,[],[f194,f84]) ).
fof(f84,plain,
( ~ sP4
| leq(sK18,n5) ),
inference(cnf_transformation,[],[f40]) ).
fof(f330,plain,
( ~ leq(sK18,n5)
| ~ leq(n0,sK18)
| ~ spl31_6 ),
inference(subsumption_resolution,[],[f329,f325]) ).
fof(f325,plain,
( leq(n0,sK17)
| ~ spl31_6 ),
inference(resolution,[],[f194,f87]) ).
fof(f87,plain,
( ~ sP4
| leq(n0,sK17) ),
inference(cnf_transformation,[],[f40]) ).
fof(f329,plain,
( ~ leq(n0,sK17)
| ~ leq(sK18,n5)
| ~ leq(n0,sK18)
| ~ spl31_6 ),
inference(subsumption_resolution,[],[f328,f324]) ).
fof(f324,plain,
( leq(sK17,n5)
| ~ spl31_6 ),
inference(resolution,[],[f194,f86]) ).
fof(f86,plain,
( ~ sP4
| leq(sK17,n5) ),
inference(cnf_transformation,[],[f40]) ).
fof(f328,plain,
( ~ leq(sK17,n5)
| ~ leq(n0,sK17)
| ~ leq(sK18,n5)
| ~ leq(n0,sK18)
| ~ spl31_6 ),
inference(trivial_inequality_removal,[],[f326]) ).
fof(f326,plain,
( init != init
| ~ leq(n0,sK17)
| ~ leq(sK18,n5)
| ~ leq(n0,sK18)
| ~ leq(sK17,n5)
| ~ spl31_6 ),
inference(superposition,[],[f321,f121]) ).
fof(f121,plain,
! [X14,X15] :
( init = a_select3(q_ds1_filter_init,X15,X14)
| ~ leq(X15,n5)
| ~ leq(X14,n5)
| ~ leq(n0,X15)
| ~ leq(n0,X14) ),
inference(cnf_transformation,[],[f63]) ).
fof(f321,plain,
( init != a_select3(q_ds1_filter_init,sK18,sK17)
| ~ spl31_6 ),
inference(resolution,[],[f194,f85]) ).
fof(f85,plain,
( ~ sP4
| init != a_select3(q_ds1_filter_init,sK18,sK17) ),
inference(cnf_transformation,[],[f40]) ).
fof(f320,plain,
~ spl31_5,
inference(avatar_contradiction_clause,[],[f319]) ).
fof(f319,plain,
( $false
| ~ spl31_5 ),
inference(subsumption_resolution,[],[f318,f310]) ).
fof(f310,plain,
( leq(sK21,n5)
| ~ spl31_5 ),
inference(resolution,[],[f190,f97]) ).
fof(f97,plain,
( ~ sP2
| leq(sK21,n5) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( ( init != a_select3(phi_ds1_filter_init,sK22,sK21)
& leq(sK21,n5)
& leq(n0,sK21)
& leq(n0,sK22)
& leq(sK22,n5) )
| ~ sP2 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21,sK22])],[f46,f47]) ).
fof(f47,plain,
( ? [X0,X1] :
( init != a_select3(phi_ds1_filter_init,X1,X0)
& leq(X0,n5)
& leq(n0,X0)
& leq(n0,X1)
& leq(X1,n5) )
=> ( init != a_select3(phi_ds1_filter_init,sK22,sK21)
& leq(sK21,n5)
& leq(n0,sK21)
& leq(n0,sK22)
& leq(sK22,n5) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
( ? [X0,X1] :
( init != a_select3(phi_ds1_filter_init,X1,X0)
& leq(X0,n5)
& leq(n0,X0)
& leq(n0,X1)
& leq(X1,n5) )
| ~ sP2 ),
inference(rectify,[],[f45]) ).
fof(f45,plain,
( ? [X5,X4] :
( init != a_select3(phi_ds1_filter_init,X4,X5)
& leq(X5,n5)
& leq(n0,X5)
& leq(n0,X4)
& leq(X4,n5) )
| ~ sP2 ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
( ? [X5,X4] :
( init != a_select3(phi_ds1_filter_init,X4,X5)
& leq(X5,n5)
& leq(n0,X5)
& leq(n0,X4)
& leq(X4,n5) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f190,plain,
( sP2
| ~ spl31_5 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f188,plain,
( spl31_5
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl31_5])]) ).
fof(f318,plain,
( ~ leq(sK21,n5)
| ~ spl31_5 ),
inference(subsumption_resolution,[],[f317,f312]) ).
fof(f312,plain,
( leq(n0,sK21)
| ~ spl31_5 ),
inference(resolution,[],[f190,f96]) ).
fof(f96,plain,
( ~ sP2
| leq(n0,sK21) ),
inference(cnf_transformation,[],[f48]) ).
fof(f317,plain,
( ~ leq(n0,sK21)
| ~ leq(sK21,n5)
| ~ spl31_5 ),
inference(subsumption_resolution,[],[f316,f311]) ).
fof(f311,plain,
( leq(sK22,n5)
| ~ spl31_5 ),
inference(resolution,[],[f190,f94]) ).
fof(f94,plain,
( ~ sP2
| leq(sK22,n5) ),
inference(cnf_transformation,[],[f48]) ).
fof(f316,plain,
( ~ leq(sK22,n5)
| ~ leq(n0,sK21)
| ~ leq(sK21,n5)
| ~ spl31_5 ),
inference(subsumption_resolution,[],[f315,f308]) ).
fof(f308,plain,
( leq(n0,sK22)
| ~ spl31_5 ),
inference(resolution,[],[f190,f95]) ).
fof(f95,plain,
( ~ sP2
| leq(n0,sK22) ),
inference(cnf_transformation,[],[f48]) ).
fof(f315,plain,
( ~ leq(n0,sK22)
| ~ leq(sK21,n5)
| ~ leq(n0,sK21)
| ~ leq(sK22,n5)
| ~ spl31_5 ),
inference(trivial_inequality_removal,[],[f313]) ).
fof(f313,plain,
( init != init
| ~ leq(sK21,n5)
| ~ leq(sK22,n5)
| ~ leq(n0,sK22)
| ~ leq(n0,sK21)
| ~ spl31_5 ),
inference(superposition,[],[f309,f123]) ).
fof(f123,plain,
! [X12,X13] :
( init = a_select3(phi_ds1_filter_init,X13,X12)
| ~ leq(n0,X13)
| ~ leq(X13,n5)
| ~ leq(n0,X12)
| ~ leq(X12,n5) ),
inference(cnf_transformation,[],[f63]) ).
fof(f309,plain,
( init != a_select3(phi_ds1_filter_init,sK22,sK21)
| ~ spl31_5 ),
inference(resolution,[],[f190,f98]) ).
fof(f98,plain,
( ~ sP2
| init != a_select3(phi_ds1_filter_init,sK22,sK21) ),
inference(cnf_transformation,[],[f48]) ).
fof(f307,plain,
~ spl31_4,
inference(avatar_contradiction_clause,[],[f306]) ).
fof(f306,plain,
( $false
| ~ spl31_4 ),
inference(subsumption_resolution,[],[f305,f295]) ).
fof(f295,plain,
( leq(sK12,n5)
| ~ spl31_4 ),
inference(resolution,[],[f186,f70]) ).
fof(f70,plain,
( ~ sP7
| leq(sK12,n5) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
( ( leq(n0,sK11)
& leq(sK11,n2)
& leq(n0,sK12)
& leq(sK12,n5)
& init != a_select3(h_ds1_filter_init,sK11,sK12) )
| ~ sP7 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12])],[f26,f27]) ).
fof(f27,plain,
( ? [X0,X1] :
( leq(n0,X0)
& leq(X0,n2)
& leq(n0,X1)
& leq(X1,n5)
& a_select3(h_ds1_filter_init,X0,X1) != init )
=> ( leq(n0,sK11)
& leq(sK11,n2)
& leq(n0,sK12)
& leq(sK12,n5)
& init != a_select3(h_ds1_filter_init,sK11,sK12) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
( ? [X0,X1] :
( leq(n0,X0)
& leq(X0,n2)
& leq(n0,X1)
& leq(X1,n5)
& a_select3(h_ds1_filter_init,X0,X1) != init )
| ~ sP7 ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
( ? [X3,X2] :
( leq(n0,X3)
& leq(X3,n2)
& leq(n0,X2)
& leq(X2,n5)
& init != a_select3(h_ds1_filter_init,X3,X2) )
| ~ sP7 ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
( ? [X3,X2] :
( leq(n0,X3)
& leq(X3,n2)
& leq(n0,X2)
& leq(X2,n5)
& init != a_select3(h_ds1_filter_init,X3,X2) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f186,plain,
( sP7
| ~ spl31_4 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f184,plain,
( spl31_4
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl31_4])]) ).
fof(f305,plain,
( ~ leq(sK12,n5)
| ~ spl31_4 ),
inference(subsumption_resolution,[],[f304,f294]) ).
fof(f294,plain,
( leq(n0,sK12)
| ~ spl31_4 ),
inference(resolution,[],[f186,f71]) ).
fof(f71,plain,
( ~ sP7
| leq(n0,sK12) ),
inference(cnf_transformation,[],[f28]) ).
fof(f304,plain,
( ~ leq(n0,sK12)
| ~ leq(sK12,n5)
| ~ spl31_4 ),
inference(trivial_inequality_removal,[],[f303]) ).
fof(f303,plain,
( ~ leq(n0,sK12)
| init != init
| ~ leq(sK12,n5)
| ~ spl31_4 ),
inference(superposition,[],[f297,f300]) ).
fof(f300,plain,
( ! [X0] :
( init = a_select3(h_ds1_filter_init,sK11,X0)
| ~ leq(X0,n5)
| ~ leq(n0,X0) )
| ~ spl31_4 ),
inference(subsumption_resolution,[],[f298,f293]) ).
fof(f293,plain,
( leq(n0,sK11)
| ~ spl31_4 ),
inference(resolution,[],[f186,f73]) ).
fof(f73,plain,
( ~ sP7
| leq(n0,sK11) ),
inference(cnf_transformation,[],[f28]) ).
fof(f298,plain,
( ! [X0] :
( ~ leq(X0,n5)
| ~ leq(n0,sK11)
| init = a_select3(h_ds1_filter_init,sK11,X0)
| ~ leq(n0,X0) )
| ~ spl31_4 ),
inference(resolution,[],[f296,f130]) ).
fof(f130,plain,
! [X6,X7] :
( ~ leq(X7,n2)
| ~ leq(X6,n5)
| ~ leq(n0,X6)
| init = a_select3(h_ds1_filter_init,X7,X6)
| ~ leq(n0,X7) ),
inference(cnf_transformation,[],[f63]) ).
fof(f296,plain,
( leq(sK11,n2)
| ~ spl31_4 ),
inference(resolution,[],[f186,f72]) ).
fof(f72,plain,
( ~ sP7
| leq(sK11,n2) ),
inference(cnf_transformation,[],[f28]) ).
fof(f297,plain,
( init != a_select3(h_ds1_filter_init,sK11,sK12)
| ~ spl31_4 ),
inference(resolution,[],[f186,f69]) ).
fof(f69,plain,
( ~ sP7
| init != a_select3(h_ds1_filter_init,sK11,sK12) ),
inference(cnf_transformation,[],[f28]) ).
fof(f292,plain,
~ spl31_3,
inference(avatar_contradiction_clause,[],[f291]) ).
fof(f291,plain,
( $false
| ~ spl31_3 ),
inference(subsumption_resolution,[],[f290,f277]) ).
fof(f277,plain,
( leq(sK19,n5)
| ~ spl31_3 ),
inference(resolution,[],[f182,f89]) ).
fof(f89,plain,
( ~ sP3
| leq(sK19,n5) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( ( leq(n0,sK20)
& init != a_select3(pminus_ds1_filter_init,sK20,sK19)
& leq(sK20,n5)
& leq(n0,sK19)
& leq(sK19,n5) )
| ~ sP3 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20])],[f42,f43]) ).
fof(f43,plain,
( ? [X0,X1] :
( leq(n0,X1)
& init != a_select3(pminus_ds1_filter_init,X1,X0)
& leq(X1,n5)
& leq(n0,X0)
& leq(X0,n5) )
=> ( leq(n0,sK20)
& init != a_select3(pminus_ds1_filter_init,sK20,sK19)
& leq(sK20,n5)
& leq(n0,sK19)
& leq(sK19,n5) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
( ? [X0,X1] :
( leq(n0,X1)
& init != a_select3(pminus_ds1_filter_init,X1,X0)
& leq(X1,n5)
& leq(n0,X0)
& leq(X0,n5) )
| ~ sP3 ),
inference(rectify,[],[f41]) ).
fof(f41,plain,
( ? [X15,X14] :
( leq(n0,X14)
& init != a_select3(pminus_ds1_filter_init,X14,X15)
& leq(X14,n5)
& leq(n0,X15)
& leq(X15,n5) )
| ~ sP3 ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,plain,
( ? [X15,X14] :
( leq(n0,X14)
& init != a_select3(pminus_ds1_filter_init,X14,X15)
& leq(X14,n5)
& leq(n0,X15)
& leq(X15,n5) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f182,plain,
( sP3
| ~ spl31_3 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f180,plain,
( spl31_3
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl31_3])]) ).
fof(f290,plain,
( ~ leq(sK19,n5)
| ~ spl31_3 ),
inference(subsumption_resolution,[],[f289,f280]) ).
fof(f280,plain,
( leq(n0,sK19)
| ~ spl31_3 ),
inference(resolution,[],[f182,f90]) ).
fof(f90,plain,
( ~ sP3
| leq(n0,sK19) ),
inference(cnf_transformation,[],[f44]) ).
fof(f289,plain,
( ~ leq(n0,sK19)
| ~ leq(sK19,n5)
| ~ spl31_3 ),
inference(subsumption_resolution,[],[f288,f279]) ).
fof(f279,plain,
( leq(n0,sK20)
| ~ spl31_3 ),
inference(resolution,[],[f182,f93]) ).
fof(f93,plain,
( ~ sP3
| leq(n0,sK20) ),
inference(cnf_transformation,[],[f44]) ).
fof(f288,plain,
( ~ leq(n0,sK20)
| ~ leq(n0,sK19)
| ~ leq(sK19,n5)
| ~ spl31_3 ),
inference(subsumption_resolution,[],[f287,f278]) ).
fof(f278,plain,
( leq(sK20,n5)
| ~ spl31_3 ),
inference(resolution,[],[f182,f91]) ).
fof(f91,plain,
( ~ sP3
| leq(sK20,n5) ),
inference(cnf_transformation,[],[f44]) ).
fof(f287,plain,
( ~ leq(sK20,n5)
| ~ leq(sK19,n5)
| ~ leq(n0,sK19)
| ~ leq(n0,sK20)
| ~ spl31_3 ),
inference(trivial_inequality_removal,[],[f286]) ).
fof(f286,plain,
( ~ leq(sK20,n5)
| ~ leq(n0,sK20)
| ~ leq(sK19,n5)
| ~ leq(n0,sK19)
| init != init
| ~ spl31_3 ),
inference(superposition,[],[f281,f140]) ).
fof(f140,plain,
! [X2,X3] :
( init = a_select3(pminus_ds1_filter_init,X2,X3)
| ~ leq(X3,n5)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n5) ),
inference(cnf_transformation,[],[f63]) ).
fof(f281,plain,
( init != a_select3(pminus_ds1_filter_init,sK20,sK19)
| ~ spl31_3 ),
inference(resolution,[],[f182,f92]) ).
fof(f92,plain,
( ~ sP3
| init != a_select3(pminus_ds1_filter_init,sK20,sK19) ),
inference(cnf_transformation,[],[f44]) ).
fof(f276,plain,
spl31_9,
inference(avatar_split_clause,[],[f120,f204]) ).
fof(f204,plain,
( spl31_9
<=> leq(n0,pv5) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_9])]) ).
fof(f120,plain,
leq(n0,pv5),
inference(cnf_transformation,[],[f63]) ).
fof(f275,plain,
spl31_15,
inference(avatar_split_clause,[],[f128,f227]) ).
fof(f227,plain,
( spl31_15
<=> leq(pv64,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_15])]) ).
fof(f128,plain,
leq(pv64,n5),
inference(cnf_transformation,[],[f63]) ).
fof(f274,plain,
( spl31_10
| ~ spl31_9
| spl31_13
| spl31_3
| spl31_5
| spl31_6
| spl31_20
| spl31_2
| ~ spl31_8
| spl31_4
| spl31_12
| spl31_11
| spl31_14
| ~ spl31_15 ),
inference(avatar_split_clause,[],[f269,f227,f223,f212,f216,f184,f200,f171,f271,f192,f188,f180,f219,f204,f208]) ).
fof(f200,plain,
( spl31_8
<=> leq(n0,pv64) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_8])]) ).
fof(f269,plain,
! [X3] :
( ~ leq(pv64,n5)
| sP0
| sP5
| init = a_select3(id_ds1_filter_init,sK30,X3)
| sP7
| ~ leq(n0,pv64)
| sP1
| leq(n0,sK27)
| sP4
| sP2
| sP3
| sP8
| ~ leq(n0,pv5)
| pv64 = X3
| ~ leq(X3,pv64)
| ~ leq(X3,n5)
| ~ leq(n0,X3)
| sP6 ),
inference(subsumption_resolution,[],[f268,f137]) ).
fof(f268,plain,
! [X3] :
( sP0
| ~ leq(X3,pv64)
| ~ leq(n0,X3)
| sP1
| leq(n0,sK27)
| ~ leq(sK30,n5)
| sP4
| init = a_select3(id_ds1_filter_init,sK30,X3)
| ~ leq(n0,pv5)
| pv64 = X3
| sP6
| ~ leq(pv64,n5)
| ~ leq(n0,pv64)
| sP3
| ~ leq(X3,n5)
| sP7
| sP5
| sP8
| sP2 ),
inference(subsumption_resolution,[],[f267,f131]) ).
fof(f131,plain,
leq(pv5,n998),
inference(cnf_transformation,[],[f63]) ).
fof(f267,plain,
! [X3] :
( sP6
| sP7
| leq(n0,sK27)
| sP2
| ~ leq(pv64,n5)
| ~ leq(X3,n5)
| ~ leq(pv5,n998)
| ~ leq(n0,X3)
| ~ leq(n0,pv5)
| sP0
| ~ leq(sK30,n5)
| ~ leq(n0,pv64)
| ~ leq(X3,pv64)
| init = a_select3(id_ds1_filter_init,sK30,X3)
| pv64 = X3
| sP3
| sP1
| sP5
| sP8
| sP4 ),
inference(subsumption_resolution,[],[f266,f149]) ).
fof(f149,plain,
pv64 != sK30,
inference(definition_unfolding,[],[f129,f139]) ).
fof(f129,plain,
pv63 != pv64,
inference(cnf_transformation,[],[f63]) ).
fof(f266,plain,
! [X3] :
( sP1
| ~ leq(X3,n5)
| ~ leq(n0,X3)
| sP8
| ~ leq(pv64,n5)
| ~ leq(n0,pv64)
| sP4
| pv64 = X3
| pv64 = sK30
| sP2
| sP3
| ~ leq(sK30,n5)
| init = a_select3(id_ds1_filter_init,sK30,X3)
| ~ leq(n0,pv5)
| sP7
| sP5
| sP6
| ~ leq(pv5,n998)
| ~ leq(X3,pv64)
| sP0
| leq(n0,sK27) ),
inference(subsumption_resolution,[],[f161,f134]) ).
fof(f161,plain,
! [X3] :
( sP0
| sP7
| sP5
| ~ leq(X3,n5)
| ~ leq(n0,sK30)
| sP2
| sP3
| ~ leq(n0,X3)
| sP8
| sP6
| pv64 = X3
| ~ leq(pv5,n998)
| ~ leq(n0,pv64)
| leq(n0,sK27)
| ~ leq(X3,pv64)
| sP4
| ~ leq(n0,pv5)
| init = a_select3(id_ds1_filter_init,sK30,X3)
| ~ leq(pv64,n5)
| sP1
| pv64 = sK30
| ~ leq(sK30,n5) ),
inference(duplicate_literal_removal,[],[f159]) ).
fof(f159,plain,
! [X3] :
( ~ leq(X3,n5)
| init = a_select3(id_ds1_filter_init,sK30,X3)
| ~ leq(n0,sK30)
| ~ leq(sK30,n5)
| ~ leq(n0,pv5)
| sP3
| sP4
| pv64 = X3
| ~ leq(n0,sK30)
| sP0
| pv64 = sK30
| sP8
| ~ leq(pv64,n5)
| ~ leq(n0,X3)
| sP6
| leq(n0,sK27)
| ~ leq(sK30,n5)
| sP7
| sP2
| sP5
| ~ leq(pv5,n998)
| ~ leq(n0,pv64)
| ~ leq(X3,pv64)
| sP1 ),
inference(equality_resolution,[],[f148]) ).
fof(f148,plain,
! [X2,X3] :
( leq(n0,sK27)
| sP8
| sK30 != X2
| ~ leq(X3,pv64)
| ~ leq(n0,X2)
| ~ leq(X2,n5)
| init = a_select3(id_ds1_filter_init,X2,X3)
| pv64 = X3
| ~ leq(n0,X3)
| ~ leq(X3,n5)
| sP7
| sP1
| sP6
| pv64 = sK30
| sP0
| sP5
| ~ leq(pv5,n998)
| sP4
| ~ leq(n0,sK30)
| sP3
| ~ leq(n0,pv64)
| ~ leq(pv64,n5)
| ~ leq(sK30,n5)
| ~ leq(n0,pv5)
| sP2 ),
inference(definition_unfolding,[],[f112,f139,f139,f139,f139]) ).
fof(f112,plain,
! [X2,X3] :
( leq(n0,sK27)
| sP8
| pv63 != X2
| ~ leq(X3,pv64)
| ~ leq(n0,X2)
| ~ leq(X2,n5)
| init = a_select3(id_ds1_filter_init,X2,X3)
| pv64 = X3
| ~ leq(n0,X3)
| ~ leq(X3,n5)
| sP7
| sP1
| sP6
| pv63 = pv64
| sP0
| sP5
| ~ leq(pv5,n998)
| sP4
| ~ leq(n0,pv63)
| sP3
| ~ leq(n0,pv64)
| ~ leq(pv64,n5)
| ~ leq(pv63,n5)
| ~ leq(n0,pv5)
| sP2 ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
( ( leq(sK27,pred(pv63))
& init != a_select3(id_ds1_filter_init,sK27,sK28)
& leq(n0,sK28)
& leq(sK28,n5)
& leq(n0,sK27) )
| sP8
| ! [X2,X3] :
( pv63 != X2
| ~ leq(X3,pv64)
| ~ leq(n0,X2)
| ~ leq(X2,n5)
| init = a_select3(id_ds1_filter_init,X2,X3)
| pv64 = X3
| ~ leq(n0,X3)
| ~ leq(X3,n5) )
| sP7
| sP1
| sP6
| pv63 = pv64
| sP0
| sP5
| ~ leq(pv5,n998)
| sP4
| ~ leq(n0,pv63)
| sP3
| ~ leq(n0,pv64)
| ~ leq(pv64,n5)
| ~ leq(pv63,n5)
| ~ leq(n0,pv5)
| sP2 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27,sK28])],[f57,f59,f58]) ).
fof(f58,plain,
( ? [X0] :
( leq(X0,pred(pv63))
& ? [X1] :
( init != a_select3(id_ds1_filter_init,X0,X1)
& leq(n0,X1)
& leq(X1,n5) )
& leq(n0,X0) )
=> ( leq(sK27,pred(pv63))
& ? [X1] :
( init != a_select3(id_ds1_filter_init,sK27,X1)
& leq(n0,X1)
& leq(X1,n5) )
& leq(n0,sK27) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
( ? [X1] :
( init != a_select3(id_ds1_filter_init,sK27,X1)
& leq(n0,X1)
& leq(X1,n5) )
=> ( init != a_select3(id_ds1_filter_init,sK27,sK28)
& leq(n0,sK28)
& leq(sK28,n5) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
( ? [X0] :
( leq(X0,pred(pv63))
& ? [X1] :
( init != a_select3(id_ds1_filter_init,X0,X1)
& leq(n0,X1)
& leq(X1,n5) )
& leq(n0,X0) )
| sP8
| ! [X2,X3] :
( pv63 != X2
| ~ leq(X3,pv64)
| ~ leq(n0,X2)
| ~ leq(X2,n5)
| init = a_select3(id_ds1_filter_init,X2,X3)
| pv64 = X3
| ~ leq(n0,X3)
| ~ leq(X3,n5) )
| sP7
| sP1
| sP6
| pv63 = pv64
| sP0
| sP5
| ~ leq(pv5,n998)
| sP4
| ~ leq(n0,pv63)
| sP3
| ~ leq(n0,pv64)
| ~ leq(pv64,n5)
| ~ leq(pv63,n5)
| ~ leq(n0,pv5)
| sP2 ),
inference(rectify,[],[f20]) ).
fof(f20,plain,
( ? [X0] :
( leq(X0,pred(pv63))
& ? [X1] :
( init != a_select3(id_ds1_filter_init,X0,X1)
& leq(n0,X1)
& leq(X1,n5) )
& leq(n0,X0) )
| sP8
| ! [X20,X21] :
( pv63 != X20
| ~ leq(X21,pv64)
| ~ leq(n0,X20)
| ~ leq(X20,n5)
| init = a_select3(id_ds1_filter_init,X20,X21)
| pv64 = X21
| ~ leq(n0,X21)
| ~ leq(X21,n5) )
| sP7
| sP1
| sP6
| pv63 = pv64
| sP0
| sP5
| ~ leq(pv5,n998)
| sP4
| ~ leq(n0,pv63)
| sP3
| ~ leq(n0,pv64)
| ~ leq(pv64,n5)
| ~ leq(pv63,n5)
| ~ leq(n0,pv5)
| sP2 ),
inference(definition_folding,[],[f8,f19,f18,f17,f16,f15,f14,f13,f12,f11]) ).
fof(f8,plain,
( ? [X0] :
( leq(X0,pred(pv63))
& ? [X1] :
( init != a_select3(id_ds1_filter_init,X0,X1)
& leq(n0,X1)
& leq(X1,n5) )
& leq(n0,X0) )
| ? [X10,X11] :
( init != a_select3(xhatmin_ds1_filter_init,X11,X10)
& leq(n0,X10)
& leq(n0,X11)
& leq(X10,n0)
& leq(X11,n5) )
| ! [X20,X21] :
( pv63 != X20
| ~ leq(X21,pv64)
| ~ leq(n0,X20)
| ~ leq(X20,n5)
| init = a_select3(id_ds1_filter_init,X20,X21)
| pv64 = X21
| ~ leq(n0,X21)
| ~ leq(X21,n5) )
| ? [X3,X2] :
( leq(n0,X3)
& leq(X3,n2)
& leq(n0,X2)
& leq(X2,n5)
& init != a_select3(h_ds1_filter_init,X3,X2) )
| ? [X9,X8] :
( leq(n0,X9)
& leq(X8,n5)
& gt(pv63,X9)
& leq(X9,n5)
& leq(n0,X8)
& init != a_select3(id_ds1_filter_init,X9,X8) )
| ? [X12,X13] :
( init != a_select3(r_ds1_filter_init,X12,X13)
& leq(n0,X13)
& leq(X13,n2)
& leq(n0,X12)
& leq(X12,n2) )
| pv63 = pv64
| ? [X19,X18] :
( gt(pv64,X19)
& init != a_select3(id_ds1_filter_init,X18,X19)
& leq(X18,n5)
& leq(n0,X18)
& leq(X19,n5)
& leq(n0,X19)
& pv63 = X18 )
| ? [X16,X17] :
( leq(n0,X17)
& leq(X17,n5)
& leq(X16,n0)
& init != a_select3(dv_ds1_filter_init,X17,X16)
& leq(n0,X16) )
| ~ leq(pv5,n998)
| ? [X7,X6] :
( leq(n0,X6)
& leq(n0,X7)
& leq(X7,n5)
& init != a_select3(q_ds1_filter_init,X6,X7)
& leq(X6,n5) )
| ~ leq(n0,pv63)
| ? [X15,X14] :
( leq(n0,X14)
& init != a_select3(pminus_ds1_filter_init,X14,X15)
& leq(X14,n5)
& leq(n0,X15)
& leq(X15,n5) )
| ~ leq(n0,pv64)
| ~ leq(pv64,n5)
| ~ leq(pv63,n5)
| ~ leq(n0,pv5)
| ? [X5,X4] :
( init != a_select3(phi_ds1_filter_init,X4,X5)
& leq(X5,n5)
& leq(n0,X5)
& leq(n0,X4)
& leq(X4,n5) ) ),
inference(flattening,[],[f7]) ).
fof(f7,plain,
( ! [X20,X21] :
( init = a_select3(id_ds1_filter_init,X20,X21)
| pv64 = X21
| pv63 != X20
| ~ leq(X21,pv64)
| ~ leq(n0,X20)
| ~ leq(n0,X21)
| ~ leq(X21,n5)
| ~ leq(X20,n5) )
| ~ leq(pv63,n5)
| ~ leq(n0,pv64)
| ? [X17,X16] :
( init != a_select3(dv_ds1_filter_init,X17,X16)
& leq(X16,n0)
& leq(n0,X17)
& leq(n0,X16)
& leq(X17,n5) )
| ~ leq(n0,pv63)
| ~ leq(pv5,n998)
| ? [X9,X8] :
( init != a_select3(id_ds1_filter_init,X9,X8)
& gt(pv63,X9)
& leq(X9,n5)
& leq(X8,n5)
& leq(n0,X8)
& leq(n0,X9) )
| ? [X2,X3] :
( init != a_select3(h_ds1_filter_init,X3,X2)
& leq(n0,X3)
& leq(X2,n5)
& leq(X3,n2)
& leq(n0,X2) )
| ? [X13,X12] :
( init != a_select3(r_ds1_filter_init,X12,X13)
& leq(X13,n2)
& leq(X12,n2)
& leq(n0,X13)
& leq(n0,X12) )
| ? [X4,X5] :
( init != a_select3(phi_ds1_filter_init,X4,X5)
& leq(X4,n5)
& leq(n0,X4)
& leq(X5,n5)
& leq(n0,X5) )
| ~ leq(pv64,n5)
| ~ leq(n0,pv5)
| ? [X11,X10] :
( init != a_select3(xhatmin_ds1_filter_init,X11,X10)
& leq(X10,n0)
& leq(n0,X10)
& leq(n0,X11)
& leq(X11,n5) )
| pv63 = pv64
| ? [X0] :
( ? [X1] :
( init != a_select3(id_ds1_filter_init,X0,X1)
& leq(n0,X1)
& leq(X1,n5) )
& leq(n0,X0)
& leq(X0,pred(pv63)) )
| ? [X15,X14] :
( init != a_select3(pminus_ds1_filter_init,X14,X15)
& leq(n0,X15)
& leq(X14,n5)
& leq(n0,X14)
& leq(X15,n5) )
| ? [X18,X19] :
( init != a_select3(id_ds1_filter_init,X18,X19)
& gt(pv64,X19)
& pv63 = X18
& leq(n0,X18)
& leq(X18,n5)
& leq(n0,X19)
& leq(X19,n5) )
| ? [X7,X6] :
( init != a_select3(q_ds1_filter_init,X6,X7)
& leq(X7,n5)
& leq(X6,n5)
& leq(n0,X6)
& leq(n0,X7) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,plain,
( ( leq(pv63,n5)
& leq(n0,pv64)
& ! [X17,X16] :
( ( leq(X16,n0)
& leq(n0,X17)
& leq(n0,X16)
& leq(X17,n5) )
=> init = a_select3(dv_ds1_filter_init,X17,X16) )
& leq(n0,pv63)
& leq(pv5,n998)
& ! [X9,X8] :
( ( leq(X9,n5)
& leq(X8,n5)
& leq(n0,X8)
& leq(n0,X9) )
=> ( gt(pv63,X9)
=> init = a_select3(id_ds1_filter_init,X9,X8) ) )
& ! [X2,X3] :
( ( leq(n0,X3)
& leq(X2,n5)
& leq(X3,n2)
& leq(n0,X2) )
=> init = a_select3(h_ds1_filter_init,X3,X2) )
& ! [X13,X12] :
( ( leq(X13,n2)
& leq(X12,n2)
& leq(n0,X13)
& leq(n0,X12) )
=> init = a_select3(r_ds1_filter_init,X12,X13) )
& ! [X4,X5] :
( ( leq(X4,n5)
& leq(n0,X4)
& leq(X5,n5)
& leq(n0,X5) )
=> init = a_select3(phi_ds1_filter_init,X4,X5) )
& leq(pv64,n5)
& leq(n0,pv5)
& ! [X11,X10] :
( ( leq(X10,n0)
& leq(n0,X10)
& leq(n0,X11)
& leq(X11,n5) )
=> init = a_select3(xhatmin_ds1_filter_init,X11,X10) )
& pv63 != pv64
& ! [X0] :
( ( leq(n0,X0)
& leq(X0,pred(pv63)) )
=> ! [X1] :
( ( leq(n0,X1)
& leq(X1,n5) )
=> init = a_select3(id_ds1_filter_init,X0,X1) ) )
& ! [X15,X14] :
( ( leq(n0,X15)
& leq(X14,n5)
& leq(n0,X14)
& leq(X15,n5) )
=> init = a_select3(pminus_ds1_filter_init,X14,X15) )
& ! [X18,X19] :
( ( leq(n0,X18)
& leq(X18,n5)
& leq(n0,X19)
& leq(X19,n5) )
=> ( ( gt(pv64,X19)
& pv63 = X18 )
=> init = a_select3(id_ds1_filter_init,X18,X19) ) )
& ! [X7,X6] :
( ( leq(X7,n5)
& leq(X6,n5)
& leq(n0,X6)
& leq(n0,X7) )
=> init = a_select3(q_ds1_filter_init,X6,X7) ) )
=> ! [X20,X21] :
( ( leq(n0,X20)
& leq(n0,X21)
& leq(X21,n5)
& leq(X20,n5) )
=> ( ( pv64 != X21
& pv63 = X20
& leq(X21,pv64) )
=> init = a_select3(id_ds1_filter_init,X20,X21) ) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
( ( leq(n0,pv64)
& ! [X18] :
( ( leq(n0,X18)
& leq(X18,pred(pv63)) )
=> ! [X19] :
( ( leq(X19,n5)
& leq(n0,X19) )
=> init = a_select3(id_ds1_filter_init,X18,X19) ) )
& ! [X1,X0] :
( ( leq(n0,X1)
& leq(X0,n2)
& leq(X1,n5)
& leq(n0,X0) )
=> a_select3(h_ds1_filter_init,X0,X1) = init )
& ! [X2,X3] :
( ( leq(n0,X3)
& leq(n0,X2)
& leq(X3,n5)
& leq(X2,n5) )
=> init = a_select3(phi_ds1_filter_init,X2,X3) )
& ! [X7,X6] :
( ( leq(X7,n5)
& leq(X6,n5)
& leq(n0,X6)
& leq(n0,X7) )
=> init = a_select3(q_ds1_filter_init,X6,X7) )
& ! [X17,X16] :
( ( leq(n0,X17)
& leq(X16,n5)
& leq(X17,n5)
& leq(n0,X16) )
=> ( gt(pv63,X16)
=> init = a_select3(id_ds1_filter_init,X16,X17) ) )
& ! [X11,X10] :
( ( leq(X10,n5)
& leq(n0,X10)
& leq(n0,X11)
& leq(X11,n0) )
=> init = a_select3(xhatmin_ds1_filter_init,X10,X11) )
& leq(pv64,n5)
& leq(n0,pv5)
& pv63 != pv64
& leq(pv63,n5)
& leq(n0,pv63)
& ! [X8,X9] :
( ( leq(n0,X9)
& leq(n0,X8)
& leq(X9,n2)
& leq(X8,n2) )
=> init = a_select3(r_ds1_filter_init,X8,X9) )
& ! [X12,X13] :
( ( leq(X12,n5)
& leq(X13,n5)
& leq(n0,X13)
& leq(n0,X12) )
=> init = a_select3(pminus_ds1_filter_init,X12,X13) )
& leq(pv5,n998)
& ! [X5,X4] :
( ( leq(X4,n5)
& leq(n0,X4)
& leq(n0,X5)
& leq(X5,n0) )
=> init = a_select3(dv_ds1_filter_init,X4,X5) )
& ! [X14,X15] :
( ( leq(X14,n5)
& leq(n0,X14)
& leq(X15,n5)
& leq(n0,X15) )
=> ( ( pv63 = X14
& gt(pv64,X15) )
=> init = a_select3(id_ds1_filter_init,X14,X15) ) ) )
=> ! [X20,X21] :
( ( leq(n0,X20)
& leq(n0,X21)
& leq(X21,n5)
& leq(X20,n5) )
=> ( ( pv64 != X21
& pv63 = X20
& leq(X21,pv64) )
=> init = a_select3(id_ds1_filter_init,X20,X21) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n1) ).
fof(f265,plain,
( ~ spl31_14
| spl31_19 ),
inference(avatar_split_clause,[],[f143,f262,f223]) ).
fof(f143,plain,
( sK26 = sK30
| ~ sP0 ),
inference(definition_unfolding,[],[f105,f139]) ).
fof(f105,plain,
( pv63 = sK26
| ~ sP0 ),
inference(cnf_transformation,[],[f56]) ).
fof(f260,plain,
spl31_8,
inference(avatar_split_clause,[],[f125,f200]) ).
fof(f125,plain,
leq(n0,pv64),
inference(cnf_transformation,[],[f63]) ).
fof(f259,plain,
( spl31_3
| spl31_4
| spl31_6
| spl31_13
| spl31_5
| spl31_11
| ~ spl31_18
| ~ spl31_8
| spl31_10
| ~ spl31_9
| spl31_12
| spl31_2
| spl31_14
| ~ spl31_15 ),
inference(avatar_split_clause,[],[f254,f227,f223,f171,f216,f204,f208,f200,f256,f212,f188,f219,f192,f184,f180]) ).
fof(f254,plain,
! [X3] :
( ~ leq(pv64,n5)
| sP0
| sP1
| init = a_select3(id_ds1_filter_init,sK30,X3)
| ~ leq(n0,pv5)
| sP6
| pv64 = X3
| ~ leq(n0,pv64)
| ~ leq(n0,X3)
| init != a_select3(id_ds1_filter_init,sK27,sK28)
| ~ leq(X3,pv64)
| sP5
| sP2
| sP8
| sP4
| ~ leq(X3,n5)
| sP7
| sP3 ),
inference(subsumption_resolution,[],[f253,f131]) ).
fof(f253,plain,
! [X3] :
( ~ leq(n0,pv64)
| sP1
| sP8
| ~ leq(n0,pv5)
| sP0
| ~ leq(n0,X3)
| init = a_select3(id_ds1_filter_init,sK30,X3)
| sP3
| ~ leq(pv5,n998)
| sP5
| ~ leq(X3,n5)
| sP4
| ~ leq(X3,pv64)
| sP6
| pv64 = X3
| init != a_select3(id_ds1_filter_init,sK27,sK28)
| sP7
| sP2
| ~ leq(pv64,n5) ),
inference(subsumption_resolution,[],[f252,f134]) ).
fof(f252,plain,
! [X3] :
( sP8
| sP6
| sP7
| init != a_select3(id_ds1_filter_init,sK27,sK28)
| ~ leq(n0,X3)
| init = a_select3(id_ds1_filter_init,sK30,X3)
| pv64 = X3
| sP0
| ~ leq(n0,pv64)
| sP5
| ~ leq(n0,sK30)
| sP4
| sP1
| ~ leq(pv64,n5)
| sP2
| ~ leq(pv5,n998)
| sP3
| ~ leq(n0,pv5)
| ~ leq(X3,n5)
| ~ leq(X3,pv64) ),
inference(subsumption_resolution,[],[f251,f149]) ).
fof(f251,plain,
! [X3] :
( sP1
| pv64 = sK30
| sP3
| init = a_select3(id_ds1_filter_init,sK30,X3)
| pv64 = X3
| sP6
| ~ leq(n0,X3)
| ~ leq(n0,pv5)
| ~ leq(X3,pv64)
| init != a_select3(id_ds1_filter_init,sK27,sK28)
| ~ leq(n0,sK30)
| ~ leq(pv5,n998)
| sP0
| sP7
| sP4
| ~ leq(n0,pv64)
| sP5
| ~ leq(pv64,n5)
| sP2
| ~ leq(X3,n5)
| sP8 ),
inference(subsumption_resolution,[],[f162,f137]) ).
fof(f162,plain,
! [X3] :
( ~ leq(n0,X3)
| sP1
| ~ leq(n0,pv64)
| pv64 = X3
| ~ leq(sK30,n5)
| sP0
| sP4
| sP8
| ~ leq(X3,pv64)
| pv64 = sK30
| sP5
| sP6
| sP2
| ~ leq(n0,pv5)
| init != a_select3(id_ds1_filter_init,sK27,sK28)
| init = a_select3(id_ds1_filter_init,sK30,X3)
| sP7
| sP3
| ~ leq(pv5,n998)
| ~ leq(pv64,n5)
| ~ leq(n0,sK30)
| ~ leq(X3,n5) ),
inference(duplicate_literal_removal,[],[f156]) ).
fof(f156,plain,
! [X3] :
( ~ leq(n0,sK30)
| sP8
| sP3
| ~ leq(n0,pv5)
| ~ leq(X3,n5)
| sP4
| ~ leq(X3,pv64)
| pv64 = X3
| ~ leq(sK30,n5)
| sP0
| ~ leq(pv5,n998)
| sP1
| pv64 = sK30
| ~ leq(n0,sK30)
| ~ leq(n0,X3)
| init = a_select3(id_ds1_filter_init,sK30,X3)
| ~ leq(pv64,n5)
| sP7
| ~ leq(sK30,n5)
| sP6
| sP5
| init != a_select3(id_ds1_filter_init,sK27,sK28)
| ~ leq(n0,pv64)
| sP2 ),
inference(equality_resolution,[],[f145]) ).
fof(f145,plain,
! [X2,X3] :
( init != a_select3(id_ds1_filter_init,sK27,sK28)
| sP8
| sK30 != X2
| ~ leq(X3,pv64)
| ~ leq(n0,X2)
| ~ leq(X2,n5)
| init = a_select3(id_ds1_filter_init,X2,X3)
| pv64 = X3
| ~ leq(n0,X3)
| ~ leq(X3,n5)
| sP7
| sP1
| sP6
| pv64 = sK30
| sP0
| sP5
| ~ leq(pv5,n998)
| sP4
| ~ leq(n0,sK30)
| sP3
| ~ leq(n0,pv64)
| ~ leq(pv64,n5)
| ~ leq(sK30,n5)
| ~ leq(n0,pv5)
| sP2 ),
inference(definition_unfolding,[],[f115,f139,f139,f139,f139]) ).
fof(f115,plain,
! [X2,X3] :
( init != a_select3(id_ds1_filter_init,sK27,sK28)
| sP8
| pv63 != X2
| ~ leq(X3,pv64)
| ~ leq(n0,X2)
| ~ leq(X2,n5)
| init = a_select3(id_ds1_filter_init,X2,X3)
| pv64 = X3
| ~ leq(n0,X3)
| ~ leq(X3,n5)
| sP7
| sP1
| sP6
| pv63 = pv64
| sP0
| sP5
| ~ leq(pv5,n998)
| sP4
| ~ leq(n0,pv63)
| sP3
| ~ leq(n0,pv64)
| ~ leq(pv64,n5)
| ~ leq(pv63,n5)
| ~ leq(n0,pv5)
| sP2 ),
inference(cnf_transformation,[],[f60]) ).
fof(f250,plain,
( spl31_4
| ~ spl31_15
| spl31_17
| spl31_5
| spl31_11
| spl31_3
| ~ spl31_9
| ~ spl31_8
| spl31_10
| spl31_14
| spl31_2
| spl31_6
| spl31_13
| spl31_12 ),
inference(avatar_split_clause,[],[f245,f216,f219,f192,f171,f223,f208,f200,f204,f180,f212,f188,f247,f227,f184]) ).
fof(f245,plain,
! [X3] :
( ~ leq(n0,X3)
| ~ leq(X3,pv64)
| sP8
| sP4
| init = a_select3(id_ds1_filter_init,sK30,X3)
| sP1
| pv64 = X3
| sP0
| sP6
| ~ leq(X3,n5)
| ~ leq(n0,pv64)
| ~ leq(n0,pv5)
| sP3
| sP5
| sP2
| leq(sK28,n5)
| ~ leq(pv64,n5)
| sP7 ),
inference(subsumption_resolution,[],[f244,f131]) ).
fof(f244,plain,
! [X3] :
( pv64 = X3
| init = a_select3(id_ds1_filter_init,sK30,X3)
| leq(sK28,n5)
| ~ leq(X3,pv64)
| sP5
| sP3
| sP6
| ~ leq(n0,X3)
| sP4
| ~ leq(pv5,n998)
| ~ leq(n0,pv64)
| sP8
| sP2
| ~ leq(n0,pv5)
| ~ leq(pv64,n5)
| sP1
| ~ leq(X3,n5)
| sP0
| sP7 ),
inference(subsumption_resolution,[],[f243,f149]) ).
fof(f243,plain,
! [X3] :
( sP5
| sP2
| sP1
| pv64 = sK30
| sP6
| ~ leq(pv5,n998)
| ~ leq(n0,pv5)
| sP4
| ~ leq(n0,pv64)
| sP3
| pv64 = X3
| ~ leq(X3,n5)
| ~ leq(pv64,n5)
| ~ leq(n0,X3)
| sP0
| sP8
| init = a_select3(id_ds1_filter_init,sK30,X3)
| ~ leq(X3,pv64)
| sP7
| leq(sK28,n5) ),
inference(subsumption_resolution,[],[f242,f137]) ).
fof(f242,plain,
! [X3] :
( pv64 = X3
| ~ leq(X3,pv64)
| sP0
| ~ leq(n0,X3)
| sP1
| init = a_select3(id_ds1_filter_init,sK30,X3)
| sP6
| ~ leq(sK30,n5)
| ~ leq(pv5,n998)
| sP4
| sP2
| ~ leq(n0,pv5)
| sP7
| pv64 = sK30
| sP5
| ~ leq(pv64,n5)
| sP8
| sP3
| ~ leq(n0,pv64)
| leq(sK28,n5)
| ~ leq(X3,n5) ),
inference(subsumption_resolution,[],[f163,f134]) ).
fof(f163,plain,
! [X3] :
( ~ leq(n0,X3)
| ~ leq(X3,pv64)
| ~ leq(n0,pv64)
| ~ leq(pv64,n5)
| leq(sK28,n5)
| sP7
| sP2
| sP1
| init = a_select3(id_ds1_filter_init,sK30,X3)
| sP6
| sP0
| sP5
| ~ leq(n0,sK30)
| pv64 = sK30
| sP8
| sP3
| sP4
| ~ leq(sK30,n5)
| ~ leq(pv5,n998)
| ~ leq(X3,n5)
| pv64 = X3
| ~ leq(n0,pv5) ),
inference(duplicate_literal_removal,[],[f158]) ).
fof(f158,plain,
! [X3] :
( sP3
| sP0
| sP5
| sP6
| ~ leq(pv64,n5)
| sP7
| init = a_select3(id_ds1_filter_init,sK30,X3)
| ~ leq(n0,sK30)
| ~ leq(n0,pv64)
| ~ leq(X3,n5)
| sP1
| ~ leq(n0,sK30)
| sP8
| ~ leq(X3,pv64)
| pv64 = X3
| leq(sK28,n5)
| sP4
| ~ leq(sK30,n5)
| sP2
| pv64 = sK30
| ~ leq(sK30,n5)
| ~ leq(n0,X3)
| ~ leq(pv5,n998)
| ~ leq(n0,pv5) ),
inference(equality_resolution,[],[f147]) ).
fof(f147,plain,
! [X2,X3] :
( leq(sK28,n5)
| sP8
| sK30 != X2
| ~ leq(X3,pv64)
| ~ leq(n0,X2)
| ~ leq(X2,n5)
| init = a_select3(id_ds1_filter_init,X2,X3)
| pv64 = X3
| ~ leq(n0,X3)
| ~ leq(X3,n5)
| sP7
| sP1
| sP6
| pv64 = sK30
| sP0
| sP5
| ~ leq(pv5,n998)
| sP4
| ~ leq(n0,sK30)
| sP3
| ~ leq(n0,pv64)
| ~ leq(pv64,n5)
| ~ leq(sK30,n5)
| ~ leq(n0,pv5)
| sP2 ),
inference(definition_unfolding,[],[f113,f139,f139,f139,f139]) ).
fof(f113,plain,
! [X2,X3] :
( leq(sK28,n5)
| sP8
| pv63 != X2
| ~ leq(X3,pv64)
| ~ leq(n0,X2)
| ~ leq(X2,n5)
| init = a_select3(id_ds1_filter_init,X2,X3)
| pv64 = X3
| ~ leq(n0,X3)
| ~ leq(X3,n5)
| sP7
| sP1
| sP6
| pv63 = pv64
| sP0
| sP5
| ~ leq(pv5,n998)
| sP4
| ~ leq(n0,pv63)
| sP3
| ~ leq(n0,pv64)
| ~ leq(pv64,n5)
| ~ leq(pv63,n5)
| ~ leq(n0,pv5)
| sP2 ),
inference(cnf_transformation,[],[f60]) ).
fof(f239,plain,
( spl31_2
| spl31_13
| spl31_11
| ~ spl31_8
| spl31_3
| spl31_6
| spl31_4
| ~ spl31_15
| ~ spl31_9
| spl31_10
| spl31_12
| spl31_5
| spl31_16
| spl31_14 ),
inference(avatar_split_clause,[],[f234,f223,f236,f188,f216,f208,f204,f227,f184,f192,f180,f200,f212,f219,f171]) ).
fof(f234,plain,
! [X3] :
( sP0
| leq(n0,sK28)
| sP2
| ~ leq(X3,n5)
| sP6
| ~ leq(n0,pv5)
| init = a_select3(id_ds1_filter_init,sK30,X3)
| ~ leq(pv64,n5)
| ~ leq(X3,pv64)
| sP7
| sP4
| ~ leq(n0,X3)
| sP3
| pv64 = X3
| ~ leq(n0,pv64)
| sP5
| sP8
| sP1 ),
inference(subsumption_resolution,[],[f233,f134]) ).
fof(f233,plain,
! [X3] :
( sP3
| ~ leq(X3,n5)
| sP2
| pv64 = X3
| sP8
| sP1
| ~ leq(n0,X3)
| ~ leq(n0,sK30)
| ~ leq(X3,pv64)
| ~ leq(n0,pv64)
| sP0
| sP5
| sP4
| init = a_select3(id_ds1_filter_init,sK30,X3)
| leq(n0,sK28)
| sP7
| sP6
| ~ leq(pv64,n5)
| ~ leq(n0,pv5) ),
inference(subsumption_resolution,[],[f232,f131]) ).
fof(f232,plain,
! [X3] :
( leq(n0,sK28)
| sP2
| sP8
| ~ leq(pv64,n5)
| sP0
| init = a_select3(id_ds1_filter_init,sK30,X3)
| ~ leq(pv5,n998)
| sP4
| sP6
| ~ leq(n0,pv64)
| sP3
| ~ leq(n0,X3)
| ~ leq(X3,pv64)
| sP5
| ~ leq(X3,n5)
| ~ leq(n0,pv5)
| pv64 = X3
| sP7
| ~ leq(n0,sK30)
| sP1 ),
inference(subsumption_resolution,[],[f231,f149]) ).
fof(f231,plain,
! [X3] :
( pv64 = X3
| ~ leq(pv64,n5)
| sP6
| pv64 = sK30
| sP2
| sP4
| ~ leq(X3,pv64)
| sP8
| sP0
| leq(n0,sK28)
| ~ leq(X3,n5)
| ~ leq(pv5,n998)
| ~ leq(n0,pv64)
| ~ leq(n0,pv5)
| sP3
| ~ leq(n0,X3)
| sP5
| init = a_select3(id_ds1_filter_init,sK30,X3)
| ~ leq(n0,sK30)
| sP7
| sP1 ),
inference(subsumption_resolution,[],[f164,f137]) ).
fof(f164,plain,
! [X3] :
( ~ leq(sK30,n5)
| sP0
| leq(n0,sK28)
| ~ leq(X3,n5)
| ~ leq(n0,sK30)
| ~ leq(pv5,n998)
| sP6
| sP1
| init = a_select3(id_ds1_filter_init,sK30,X3)
| sP7
| sP3
| sP4
| ~ leq(n0,X3)
| ~ leq(n0,pv5)
| ~ leq(pv64,n5)
| pv64 = X3
| ~ leq(n0,pv64)
| sP5
| sP8
| ~ leq(X3,pv64)
| sP2
| pv64 = sK30 ),
inference(duplicate_literal_removal,[],[f157]) ).
fof(f157,plain,
! [X3] :
( sP7
| sP8
| ~ leq(n0,sK30)
| init = a_select3(id_ds1_filter_init,sK30,X3)
| sP1
| ~ leq(n0,pv5)
| ~ leq(sK30,n5)
| ~ leq(pv5,n998)
| ~ leq(sK30,n5)
| ~ leq(X3,pv64)
| sP5
| sP3
| pv64 = sK30
| sP0
| sP6
| sP2
| ~ leq(pv64,n5)
| leq(n0,sK28)
| ~ leq(X3,n5)
| ~ leq(n0,pv64)
| ~ leq(n0,sK30)
| pv64 = X3
| ~ leq(n0,X3)
| sP4 ),
inference(equality_resolution,[],[f146]) ).
fof(f146,plain,
! [X2,X3] :
( leq(n0,sK28)
| sP8
| sK30 != X2
| ~ leq(X3,pv64)
| ~ leq(n0,X2)
| ~ leq(X2,n5)
| init = a_select3(id_ds1_filter_init,X2,X3)
| pv64 = X3
| ~ leq(n0,X3)
| ~ leq(X3,n5)
| sP7
| sP1
| sP6
| pv64 = sK30
| sP0
| sP5
| ~ leq(pv5,n998)
| sP4
| ~ leq(n0,sK30)
| sP3
| ~ leq(n0,pv64)
| ~ leq(pv64,n5)
| ~ leq(sK30,n5)
| ~ leq(n0,pv5)
| sP2 ),
inference(definition_unfolding,[],[f114,f139,f139,f139,f139]) ).
fof(f114,plain,
! [X2,X3] :
( leq(n0,sK28)
| sP8
| pv63 != X2
| ~ leq(X3,pv64)
| ~ leq(n0,X2)
| ~ leq(X2,n5)
| init = a_select3(id_ds1_filter_init,X2,X3)
| pv64 = X3
| ~ leq(n0,X3)
| ~ leq(X3,n5)
| sP7
| sP1
| sP6
| pv63 = pv64
| sP0
| sP5
| ~ leq(pv5,n998)
| sP4
| ~ leq(n0,pv63)
| sP3
| ~ leq(n0,pv64)
| ~ leq(pv64,n5)
| ~ leq(pv63,n5)
| ~ leq(n0,pv5)
| sP2 ),
inference(cnf_transformation,[],[f60]) ).
fof(f230,plain,
( spl31_3
| spl31_4
| spl31_5
| spl31_2
| spl31_6
| spl31_7
| ~ spl31_8
| ~ spl31_9
| spl31_10
| spl31_11
| spl31_12
| spl31_13
| spl31_14
| ~ spl31_15 ),
inference(avatar_split_clause,[],[f178,f227,f223,f219,f216,f212,f208,f204,f200,f196,f192,f171,f188,f184,f180]) ).
fof(f178,plain,
! [X3] :
( ~ leq(pv64,n5)
| sP0
| sP8
| pv64 = X3
| sP5
| ~ leq(X3,pv64)
| ~ leq(n0,X3)
| sP6
| ~ leq(n0,pv5)
| ~ leq(n0,pv64)
| init = a_select3(id_ds1_filter_init,sK30,X3)
| leq(sK27,pred(sK30))
| sP4
| ~ leq(X3,n5)
| sP1
| sP2
| sP7
| sP3 ),
inference(subsumption_resolution,[],[f177,f131]) ).
fof(f177,plain,
! [X3] :
( leq(sK27,pred(sK30))
| init = a_select3(id_ds1_filter_init,sK30,X3)
| ~ leq(X3,n5)
| ~ leq(n0,pv5)
| sP4
| sP1
| sP0
| ~ leq(pv5,n998)
| ~ leq(n0,pv64)
| sP8
| sP5
| sP3
| ~ leq(X3,pv64)
| sP7
| ~ leq(pv64,n5)
| sP6
| ~ leq(n0,X3)
| pv64 = X3
| sP2 ),
inference(subsumption_resolution,[],[f176,f137]) ).
fof(f176,plain,
! [X3] :
( ~ leq(sK30,n5)
| sP4
| ~ leq(X3,n5)
| sP2
| ~ leq(pv64,n5)
| init = a_select3(id_ds1_filter_init,sK30,X3)
| sP6
| sP1
| ~ leq(X3,pv64)
| sP5
| pv64 = X3
| sP7
| ~ leq(n0,pv64)
| leq(sK27,pred(sK30))
| ~ leq(pv5,n998)
| ~ leq(n0,X3)
| sP0
| sP3
| sP8
| ~ leq(n0,pv5) ),
inference(subsumption_resolution,[],[f175,f149]) ).
fof(f175,plain,
! [X3] :
( ~ leq(X3,pv64)
| sP4
| pv64 = sK30
| sP7
| ~ leq(n0,pv64)
| ~ leq(n0,pv5)
| sP2
| ~ leq(pv5,n998)
| pv64 = X3
| sP5
| sP6
| sP8
| init = a_select3(id_ds1_filter_init,sK30,X3)
| ~ leq(sK30,n5)
| ~ leq(X3,n5)
| sP3
| ~ leq(pv64,n5)
| ~ leq(n0,X3)
| leq(sK27,pred(sK30))
| sP1
| sP0 ),
inference(subsumption_resolution,[],[f165,f134]) ).
fof(f165,plain,
! [X3] :
( ~ leq(n0,sK30)
| pv64 = sK30
| sP2
| ~ leq(n0,pv64)
| sP0
| init = a_select3(id_ds1_filter_init,sK30,X3)
| leq(sK27,pred(sK30))
| ~ leq(n0,pv5)
| sP6
| sP1
| ~ leq(X3,pv64)
| ~ leq(n0,X3)
| ~ leq(pv5,n998)
| sP5
| ~ leq(pv64,n5)
| ~ leq(X3,n5)
| ~ leq(sK30,n5)
| sP4
| sP3
| pv64 = X3
| sP8
| sP7 ),
inference(duplicate_literal_removal,[],[f155]) ).
fof(f155,plain,
! [X3] :
( sP4
| ~ leq(X3,n5)
| sP8
| init = a_select3(id_ds1_filter_init,sK30,X3)
| ~ leq(n0,sK30)
| sP2
| ~ leq(pv64,n5)
| sP6
| sP7
| leq(sK27,pred(sK30))
| ~ leq(pv5,n998)
| ~ leq(sK30,n5)
| ~ leq(n0,pv64)
| ~ leq(n0,pv5)
| pv64 = X3
| sP3
| pv64 = sK30
| ~ leq(n0,X3)
| ~ leq(sK30,n5)
| ~ leq(n0,sK30)
| ~ leq(X3,pv64)
| sP1
| sP0
| sP5 ),
inference(equality_resolution,[],[f144]) ).
fof(f144,plain,
! [X2,X3] :
( leq(sK27,pred(sK30))
| sP8
| sK30 != X2
| ~ leq(X3,pv64)
| ~ leq(n0,X2)
| ~ leq(X2,n5)
| init = a_select3(id_ds1_filter_init,X2,X3)
| pv64 = X3
| ~ leq(n0,X3)
| ~ leq(X3,n5)
| sP7
| sP1
| sP6
| pv64 = sK30
| sP0
| sP5
| ~ leq(pv5,n998)
| sP4
| ~ leq(n0,sK30)
| sP3
| ~ leq(n0,pv64)
| ~ leq(pv64,n5)
| ~ leq(sK30,n5)
| ~ leq(n0,pv5)
| sP2 ),
inference(definition_unfolding,[],[f116,f139,f139,f139,f139,f139]) ).
fof(f116,plain,
! [X2,X3] :
( leq(sK27,pred(pv63))
| sP8
| pv63 != X2
| ~ leq(X3,pv64)
| ~ leq(n0,X2)
| ~ leq(X2,n5)
| init = a_select3(id_ds1_filter_init,X2,X3)
| pv64 = X3
| ~ leq(n0,X3)
| ~ leq(X3,n5)
| sP7
| sP1
| sP6
| pv63 = pv64
| sP0
| sP5
| ~ leq(pv5,n998)
| sP4
| ~ leq(n0,pv63)
| sP3
| ~ leq(n0,pv64)
| ~ leq(pv64,n5)
| ~ leq(pv63,n5)
| ~ leq(n0,pv5)
| sP2 ),
inference(cnf_transformation,[],[f60]) ).
fof(f174,plain,
( spl31_1
| ~ spl31_2 ),
inference(avatar_split_clause,[],[f142,f171,f167]) ).
fof(f142,plain,
( ~ sP1
| gt(sK30,sK23) ),
inference(definition_unfolding,[],[f102,f139]) ).
fof(f102,plain,
( gt(pv63,sK23)
| ~ sP1 ),
inference(cnf_transformation,[],[f52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MSC010+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 03:34:48 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.46/0.55 % (31503)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.46/0.55 % (31504)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.46/0.55 % (31511)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.46/0.56 % (31519)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.46/0.56 % (31520)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.46/0.57 % (31512)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.46/0.57 % (31511)Instruction limit reached!
% 1.46/0.57 % (31511)------------------------------
% 1.46/0.57 % (31511)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.58 % (31511)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.58 % (31511)Termination reason: Unknown
% 1.46/0.58 % (31511)Termination phase: Saturation
% 1.46/0.58
% 1.46/0.58 % (31511)Memory used [KB]: 6140
% 1.46/0.58 % (31511)Time elapsed: 0.009 s
% 1.46/0.58 % (31511)Instructions burned: 7 (million)
% 1.46/0.58 % (31511)------------------------------
% 1.46/0.58 % (31511)------------------------------
% 1.46/0.58 % (31520)Refutation not found, incomplete strategy% (31520)------------------------------
% 1.46/0.58 % (31520)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.59 % (31520)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.59 % (31520)Termination reason: Refutation not found, incomplete strategy
% 1.46/0.59
% 1.46/0.59 % (31520)Memory used [KB]: 6268
% 1.46/0.59 % (31520)Time elapsed: 0.166 s
% 1.46/0.59 % (31520)Instructions burned: 10 (million)
% 1.46/0.59 % (31520)------------------------------
% 1.46/0.59 % (31520)------------------------------
% 1.46/0.60 % (31512)First to succeed.
% 1.46/0.60 % (31510)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.46/0.60 % (31500)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.46/0.61 % (31521)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.46/0.61 % (31501)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.46/0.61 % (31499)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.46/0.61 % (31518)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.46/0.61 % (31496)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.46/0.62 % (31508)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.46/0.62 % (31517)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.46/0.62 % (31515)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.46/0.62 % (31505)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.46/0.62 % (31507)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.46/0.62 % (31509)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.46/0.62 % (31510)Instruction limit reached!
% 1.46/0.62 % (31510)------------------------------
% 1.46/0.62 % (31510)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.62 % (31510)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.62 % (31510)Termination reason: Unknown
% 1.46/0.62 % (31510)Termination phase: Preprocessing 3
% 1.46/0.62
% 1.46/0.62 % (31510)Memory used [KB]: 1535
% 1.46/0.62 % (31510)Time elapsed: 0.004 s
% 1.46/0.62 % (31510)Instructions burned: 3 (million)
% 1.46/0.62 % (31510)------------------------------
% 1.46/0.62 % (31510)------------------------------
% 1.46/0.62 % (31502)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.46/0.62 % (31516)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.46/0.62 % (31513)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.46/0.63 % (31513)Instruction limit reached!
% 1.46/0.63 % (31513)------------------------------
% 1.46/0.63 % (31513)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.63 % (31513)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.63 % (31513)Termination reason: Unknown
% 1.46/0.63 % (31513)Termination phase: Property scanning
% 1.46/0.63
% 1.46/0.63 % (31513)Memory used [KB]: 1535
% 1.46/0.63 % (31513)Time elapsed: 0.005 s
% 1.46/0.63 % (31513)Instructions burned: 3 (million)
% 1.46/0.63 % (31513)------------------------------
% 1.46/0.63 % (31513)------------------------------
% 1.46/0.63 % (31507)Instruction limit reached!
% 1.46/0.63 % (31507)------------------------------
% 1.46/0.63 % (31507)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.63 % (31512)Refutation found. Thanks to Tanya!
% 1.46/0.63 % SZS status Theorem for theBenchmark
% 1.46/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 1.46/0.63 % (31512)------------------------------
% 1.46/0.63 % (31512)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.63 % (31512)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.63 % (31512)Termination reason: Refutation
% 1.46/0.63
% 1.46/0.63 % (31512)Memory used [KB]: 6524
% 1.46/0.63 % (31512)Time elapsed: 0.182 s
% 1.46/0.63 % (31512)Instructions burned: 17 (million)
% 1.46/0.63 % (31512)------------------------------
% 1.46/0.63 % (31512)------------------------------
% 1.46/0.63 % (31495)Success in time 0.273 s
%------------------------------------------------------------------------------