TSTP Solution File: MSC010+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --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 17:52:14 EDT 2022
% Result : Theorem 2.43s 0.70s
% Output : Refutation 2.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 88
% Syntax : Number of formulae : 374 ( 21 unt; 0 def)
% Number of atoms : 2772 ( 449 equ)
% Maximal formula atoms : 68 ( 7 avg)
% Number of connectives : 3466 (1068 ~;1465 |; 760 &)
% ( 65 <=>; 108 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 78 ( 76 usr; 75 prp; 0-2 aty)
% Number of functors : 40 ( 40 usr; 38 con; 0-3 aty)
% Number of variables : 427 ( 299 !; 128 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f540,plain,
$false,
inference(avatar_sat_refutation,[],[f175,f184,f193,f202,f211,f220,f229,f264,f272,f273,f278,f283,f288,f293,f301,f309,f314,f319,f324,f329,f334,f339,f344,f352,f362,f367,f372,f377,f382,f387,f392,f397,f402,f407,f412,f417,f422,f427,f432,f437,f438,f443,f448,f453,f458,f468,f469,f474,f479,f484,f489,f494,f499,f504,f507,f509,f511,f513,f515,f517,f519,f528,f533,f535,f537,f539]) ).
fof(f539,plain,
( ~ spl31_25
| spl31_45
| ~ spl31_56
| ~ spl31_63
| ~ spl31_64 ),
inference(avatar_contradiction_clause,[],[f538]) ).
fof(f538,plain,
( $false
| ~ spl31_25
| spl31_45
| ~ spl31_56
| ~ spl31_63
| ~ spl31_64 ),
inference(unit_resulting_resolution,[],[f447,f483,f282,f488,f391,f152]) ).
fof(f152,plain,
! [X8,X9] :
( ~ leq(X8,pred(sK30))
| ~ leq(X9,n5)
| ~ leq(n0,X9)
| ~ leq(n0,X8)
| init = a_select3(id_ds1_filter_init,X8,X9) ),
inference(definition_unfolding,[],[f127,f138]) ).
fof(f138,plain,
pv63 = sK30,
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
( leq(n0,pv64)
& ! [X0,X1] :
( ~ leq(n0,X1)
| init = a_select3(q_ds1_filter_init,X0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,n5)
| ~ leq(X0,n5) )
& leq(n0,pv63)
& pv63 = sK30
& leq(sK30,n5)
& init != a_select3(id_ds1_filter_init,sK30,sK29)
& leq(sK29,pv64)
& leq(sK29,n5)
& leq(n0,sK30)
& pv64 != sK29
& leq(n0,sK29)
& leq(pv63,n5)
& ! [X4,X5] :
( init = a_select3(pminus_ds1_filter_init,X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,n5)
| ~ leq(X5,n5)
| ~ leq(n0,X5) )
& ! [X6,X7] :
( ~ leq(X6,n0)
| ~ leq(X7,n5)
| ~ leq(n0,X6)
| init = a_select3(xhatmin_ds1_filter_init,X7,X6)
| ~ leq(n0,X7) )
& ! [X8] :
( ~ leq(n0,X8)
| ! [X9] :
( ~ leq(n0,X9)
| ~ leq(X9,n5)
| init = a_select3(id_ds1_filter_init,X8,X9) )
| ~ leq(X8,pred(pv63)) )
& ! [X10,X11] :
( ~ leq(n0,X11)
| ~ leq(X10,n5)
| init = a_select3(phi_ds1_filter_init,X10,X11)
| ~ leq(n0,X10)
| ~ leq(X11,n5) )
& pv63 != pv64
& leq(pv64,n5)
& leq(n0,pv5)
& ! [X12,X13] :
( ~ leq(X13,n5)
| init = a_select3(h_ds1_filter_init,X12,X13)
| ~ leq(n0,X12)
| ~ leq(n0,X13)
| ~ leq(X12,n2) )
& ! [X14,X15] :
( pv63 != X14
| ~ leq(X15,n5)
| init = a_select3(id_ds1_filter_init,X14,X15)
| ~ leq(X14,n5)
| ~ leq(n0,X15)
| ~ gt(pv64,X15)
| ~ leq(n0,X14) )
& leq(pv5,n998)
& ! [X16,X17] :
( init = a_select3(r_ds1_filter_init,X17,X16)
| ~ leq(n0,X17)
| ~ leq(X16,n2)
| ~ leq(n0,X16)
| ~ leq(X17,n2) )
& ! [X18,X19] :
( init = a_select3(id_ds1_filter_init,X19,X18)
| ~ gt(pv63,X19)
| ~ leq(n0,X18)
| ~ leq(n0,X19)
| ~ leq(X19,n5)
| ~ leq(X18,n5) )
& ! [X20,X21] :
( ~ leq(X20,n5)
| ~ leq(X21,n0)
| ~ leq(n0,X21)
| init = a_select3(dv_ds1_filter_init,X20,X21)
| ~ leq(n0,X20) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29,sK30])],[f61,f62]) ).
fof(f62,plain,
( ? [X2,X3] :
( pv63 = X3
& leq(X3,n5)
& init != a_select3(id_ds1_filter_init,X3,X2)
& leq(X2,pv64)
& leq(X2,n5)
& leq(n0,X3)
& pv64 != X2
& leq(n0,X2) )
=> ( pv63 = sK30
& leq(sK30,n5)
& init != a_select3(id_ds1_filter_init,sK30,sK29)
& leq(sK29,pv64)
& leq(sK29,n5)
& leq(n0,sK30)
& pv64 != sK29
& leq(n0,sK29) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
( leq(n0,pv64)
& ! [X0,X1] :
( ~ leq(n0,X1)
| init = a_select3(q_ds1_filter_init,X0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,n5)
| ~ leq(X0,n5) )
& leq(n0,pv63)
& ? [X2,X3] :
( pv63 = X3
& leq(X3,n5)
& init != a_select3(id_ds1_filter_init,X3,X2)
& leq(X2,pv64)
& leq(X2,n5)
& leq(n0,X3)
& pv64 != X2
& leq(n0,X2) )
& leq(pv63,n5)
& ! [X4,X5] :
( init = a_select3(pminus_ds1_filter_init,X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,n5)
| ~ leq(X5,n5)
| ~ leq(n0,X5) )
& ! [X6,X7] :
( ~ leq(X6,n0)
| ~ leq(X7,n5)
| ~ leq(n0,X6)
| init = a_select3(xhatmin_ds1_filter_init,X7,X6)
| ~ leq(n0,X7) )
& ! [X8] :
( ~ leq(n0,X8)
| ! [X9] :
( ~ leq(n0,X9)
| ~ leq(X9,n5)
| init = a_select3(id_ds1_filter_init,X8,X9) )
| ~ leq(X8,pred(pv63)) )
& ! [X10,X11] :
( ~ leq(n0,X11)
| ~ leq(X10,n5)
| init = a_select3(phi_ds1_filter_init,X10,X11)
| ~ leq(n0,X10)
| ~ leq(X11,n5) )
& pv63 != pv64
& leq(pv64,n5)
& leq(n0,pv5)
& ! [X12,X13] :
( ~ leq(X13,n5)
| init = a_select3(h_ds1_filter_init,X12,X13)
| ~ leq(n0,X12)
| ~ leq(n0,X13)
| ~ leq(X12,n2) )
& ! [X14,X15] :
( pv63 != X14
| ~ leq(X15,n5)
| init = a_select3(id_ds1_filter_init,X14,X15)
| ~ leq(X14,n5)
| ~ leq(n0,X15)
| ~ gt(pv64,X15)
| ~ leq(n0,X14) )
& leq(pv5,n998)
& ! [X16,X17] :
( init = a_select3(r_ds1_filter_init,X17,X16)
| ~ leq(n0,X17)
| ~ leq(X16,n2)
| ~ leq(n0,X16)
| ~ leq(X17,n2) )
& ! [X18,X19] :
( init = a_select3(id_ds1_filter_init,X19,X18)
| ~ gt(pv63,X19)
| ~ leq(n0,X18)
| ~ leq(n0,X19)
| ~ leq(X19,n5)
| ~ leq(X18,n5) )
& ! [X20,X21] :
( ~ leq(X20,n5)
| ~ leq(X21,n0)
| ~ leq(n0,X21)
| init = a_select3(dv_ds1_filter_init,X20,X21)
| ~ leq(n0,X20) ) ),
inference(rectify,[],[f10]) ).
fof(f10,plain,
( leq(n0,pv64)
& ! [X15,X14] :
( ~ leq(n0,X14)
| init = a_select3(q_ds1_filter_init,X15,X14)
| ~ leq(n0,X15)
| ~ leq(X14,n5)
| ~ leq(X15,n5) )
& leq(n0,pv63)
& ? [X21,X20] :
( pv63 = X20
& leq(X20,n5)
& init != a_select3(id_ds1_filter_init,X20,X21)
& leq(X21,pv64)
& leq(X21,n5)
& leq(n0,X20)
& pv64 != X21
& leq(n0,X21) )
& leq(pv63,n5)
& ! [X4,X5] :
( init = a_select3(pminus_ds1_filter_init,X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,n5)
| ~ leq(X5,n5)
| ~ leq(n0,X5) )
& ! [X2,X3] :
( ~ leq(X2,n0)
| ~ leq(X3,n5)
| ~ leq(n0,X2)
| init = a_select3(xhatmin_ds1_filter_init,X3,X2)
| ~ leq(n0,X3) )
& ! [X16] :
( ~ leq(n0,X16)
| ! [X17] :
( ~ leq(n0,X17)
| ~ leq(X17,n5)
| init = a_select3(id_ds1_filter_init,X16,X17) )
| ~ leq(X16,pred(pv63)) )
& ! [X0,X1] :
( ~ leq(n0,X1)
| ~ leq(X0,n5)
| init = a_select3(phi_ds1_filter_init,X0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,n5) )
& pv63 != pv64
& leq(pv64,n5)
& leq(n0,pv5)
& ! [X10,X11] :
( ~ leq(X11,n5)
| init = a_select3(h_ds1_filter_init,X10,X11)
| ~ leq(n0,X10)
| ~ leq(n0,X11)
| ~ leq(X10,n2) )
& ! [X18,X19] :
( pv63 != X18
| ~ leq(X19,n5)
| init = a_select3(id_ds1_filter_init,X18,X19)
| ~ leq(X18,n5)
| ~ leq(n0,X19)
| ~ gt(pv64,X19)
| ~ leq(n0,X18) )
& leq(pv5,n998)
& ! [X9,X8] :
( init = a_select3(r_ds1_filter_init,X8,X9)
| ~ leq(n0,X8)
| ~ leq(X9,n2)
| ~ leq(n0,X9)
| ~ leq(X8,n2) )
& ! [X12,X13] :
( init = a_select3(id_ds1_filter_init,X13,X12)
| ~ gt(pv63,X13)
| ~ leq(n0,X12)
| ~ leq(n0,X13)
| ~ leq(X13,n5)
| ~ leq(X12,n5) )
& ! [X6,X7] :
( ~ leq(X6,n5)
| ~ leq(X7,n0)
| ~ leq(n0,X7)
| init = a_select3(dv_ds1_filter_init,X6,X7)
| ~ leq(n0,X6) ) ),
inference(flattening,[],[f9]) ).
fof(f9,plain,
( ? [X21,X20] :
( init != a_select3(id_ds1_filter_init,X20,X21)
& pv64 != X21
& pv63 = X20
& leq(X21,pv64)
& leq(X20,n5)
& leq(X21,n5)
& leq(n0,X21)
& leq(n0,X20) )
& leq(n0,pv64)
& leq(n0,pv63)
& leq(pv5,n998)
& ! [X13,X12] :
( init = a_select3(id_ds1_filter_init,X13,X12)
| ~ gt(pv63,X13)
| ~ leq(n0,X13)
| ~ leq(n0,X12)
| ~ leq(X12,n5)
| ~ leq(X13,n5) )
& ! [X11,X10] :
( init = a_select3(h_ds1_filter_init,X10,X11)
| ~ leq(n0,X11)
| ~ leq(X10,n2)
| ~ leq(n0,X10)
| ~ leq(X11,n5) )
& ! [X18,X19] :
( init = a_select3(id_ds1_filter_init,X18,X19)
| pv63 != X18
| ~ gt(pv64,X19)
| ~ leq(X19,n5)
| ~ leq(n0,X19)
| ~ leq(X18,n5)
| ~ leq(n0,X18) )
& leq(n0,pv5)
& ! [X3,X2] :
( init = a_select3(xhatmin_ds1_filter_init,X3,X2)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X3,n5)
| ~ leq(X2,n0) )
& ! [X0,X1] :
( init = a_select3(phi_ds1_filter_init,X0,X1)
| ~ leq(X1,n5)
| ~ leq(X0,n5)
| ~ leq(n0,X0)
| ~ leq(n0,X1) )
& ! [X4,X5] :
( init = a_select3(pminus_ds1_filter_init,X5,X4)
| ~ leq(X4,n5)
| ~ leq(X5,n5)
| ~ leq(n0,X4)
| ~ leq(n0,X5) )
& leq(pv64,n5)
& leq(pv63,n5)
& ! [X16] :
( ! [X17] :
( init = a_select3(id_ds1_filter_init,X16,X17)
| ~ leq(X17,n5)
| ~ leq(n0,X17) )
| ~ leq(n0,X16)
| ~ leq(X16,pred(pv63)) )
& ! [X8,X9] :
( init = a_select3(r_ds1_filter_init,X8,X9)
| ~ leq(X9,n2)
| ~ leq(n0,X9)
| ~ leq(n0,X8)
| ~ leq(X8,n2) )
& pv63 != pv64
& ! [X6,X7] :
( init = a_select3(dv_ds1_filter_init,X6,X7)
| ~ leq(n0,X7)
| ~ leq(X6,n5)
| ~ leq(X7,n0)
| ~ leq(n0,X6) )
& ! [X14,X15] :
( init = a_select3(q_ds1_filter_init,X15,X14)
| ~ leq(X15,n5)
| ~ leq(n0,X15)
| ~ leq(X14,n5)
| ~ leq(n0,X14) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
~ ( ( leq(n0,pv64)
& leq(n0,pv63)
& leq(pv5,n998)
& ! [X13,X12] :
( ( leq(n0,X13)
& leq(n0,X12)
& leq(X12,n5)
& leq(X13,n5) )
=> ( gt(pv63,X13)
=> init = a_select3(id_ds1_filter_init,X13,X12) ) )
& ! [X11,X10] :
( ( leq(n0,X11)
& leq(X10,n2)
& leq(n0,X10)
& leq(X11,n5) )
=> init = a_select3(h_ds1_filter_init,X10,X11) )
& ! [X18,X19] :
( ( leq(X19,n5)
& leq(n0,X19)
& leq(X18,n5)
& leq(n0,X18) )
=> ( ( pv63 = X18
& gt(pv64,X19) )
=> init = a_select3(id_ds1_filter_init,X18,X19) ) )
& leq(n0,pv5)
& ! [X3,X2] :
( ( leq(n0,X2)
& leq(n0,X3)
& leq(X3,n5)
& leq(X2,n0) )
=> init = a_select3(xhatmin_ds1_filter_init,X3,X2) )
& ! [X0,X1] :
( ( leq(X1,n5)
& leq(X0,n5)
& leq(n0,X0)
& leq(n0,X1) )
=> init = a_select3(phi_ds1_filter_init,X0,X1) )
& ! [X4,X5] :
( ( leq(X4,n5)
& leq(X5,n5)
& leq(n0,X4)
& leq(n0,X5) )
=> init = a_select3(pminus_ds1_filter_init,X5,X4) )
& leq(pv64,n5)
& leq(pv63,n5)
& ! [X16] :
( ( leq(n0,X16)
& leq(X16,pred(pv63)) )
=> ! [X17] :
( ( leq(X17,n5)
& leq(n0,X17) )
=> init = a_select3(id_ds1_filter_init,X16,X17) ) )
& ! [X8,X9] :
( ( leq(X9,n2)
& leq(n0,X9)
& leq(n0,X8)
& leq(X8,n2) )
=> init = a_select3(r_ds1_filter_init,X8,X9) )
& pv63 != pv64
& ! [X6,X7] :
( ( leq(n0,X7)
& leq(X6,n5)
& leq(X7,n0)
& leq(n0,X6) )
=> init = a_select3(dv_ds1_filter_init,X6,X7) )
& ! [X14,X15] :
( ( leq(X15,n5)
& leq(n0,X15)
& leq(X14,n5)
& leq(n0,X14) )
=> init = a_select3(q_ds1_filter_init,X15,X14) ) )
=> ! [X21,X20] :
( ( leq(X20,n5)
& leq(X21,n5)
& leq(n0,X21)
& leq(n0,X20) )
=> ( ( pv64 != X21
& pv63 = X20
& leq(X21,pv64) )
=> init = a_select3(id_ds1_filter_init,X20,X21) ) ) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
~ ~ ~ ( ( leq(n0,pv64)
& leq(n0,pv63)
& leq(pv5,n998)
& ! [X13,X12] :
( ( leq(n0,X13)
& leq(n0,X12)
& leq(X12,n5)
& leq(X13,n5) )
=> ( gt(pv63,X13)
=> init = a_select3(id_ds1_filter_init,X13,X12) ) )
& ! [X11,X10] :
( ( leq(n0,X11)
& leq(X10,n2)
& leq(n0,X10)
& leq(X11,n5) )
=> init = a_select3(h_ds1_filter_init,X10,X11) )
& ! [X18,X19] :
( ( leq(X19,n5)
& leq(n0,X19)
& leq(X18,n5)
& leq(n0,X18) )
=> ( ( pv63 = X18
& gt(pv64,X19) )
=> init = a_select3(id_ds1_filter_init,X18,X19) ) )
& leq(n0,pv5)
& ! [X3,X2] :
( ( leq(n0,X2)
& leq(n0,X3)
& leq(X3,n5)
& leq(X2,n0) )
=> init = a_select3(xhatmin_ds1_filter_init,X3,X2) )
& ! [X0,X1] :
( ( leq(X1,n5)
& leq(X0,n5)
& leq(n0,X0)
& leq(n0,X1) )
=> init = a_select3(phi_ds1_filter_init,X0,X1) )
& ! [X4,X5] :
( ( leq(X4,n5)
& leq(X5,n5)
& leq(n0,X4)
& leq(n0,X5) )
=> init = a_select3(pminus_ds1_filter_init,X5,X4) )
& leq(pv64,n5)
& leq(pv63,n5)
& ! [X16] :
( ( leq(n0,X16)
& leq(X16,pred(pv63)) )
=> ! [X17] :
( ( leq(X17,n5)
& leq(n0,X17) )
=> init = a_select3(id_ds1_filter_init,X16,X17) ) )
& ! [X8,X9] :
( ( leq(X9,n2)
& leq(n0,X9)
& leq(n0,X8)
& leq(X8,n2) )
=> init = a_select3(r_ds1_filter_init,X8,X9) )
& pv63 != pv64
& ! [X6,X7] :
( ( leq(n0,X7)
& leq(X6,n5)
& leq(X7,n0)
& leq(n0,X6) )
=> init = a_select3(dv_ds1_filter_init,X6,X7) )
& ! [X14,X15] :
( ( leq(X15,n5)
& leq(n0,X15)
& leq(X14,n5)
& leq(n0,X14) )
=> init = a_select3(q_ds1_filter_init,X15,X14) ) )
=> ! [X21,X20] :
( ( leq(X20,n5)
& leq(X21,n5)
& leq(n0,X21)
& leq(n0,X20) )
=> ( ( pv64 != X21
& pv63 = X20
& leq(X21,pv64) )
=> init = a_select3(id_ds1_filter_init,X20,X21) ) ) ),
inference(rectify,[],[f3]) ).
fof(f3,negated_conjecture,
~ ~ ~ ( ( ! [X2,X3] :
( ( leq(X3,n5)
& leq(X2,n5)
& leq(n0,X2)
& leq(n0,X3) )
=> init = a_select3(phi_ds1_filter_init,X2,X3) )
& ! [X11,X10] :
( ( leq(X10,n5)
& leq(n0,X10)
& leq(X11,n0)
& leq(n0,X11) )
=> init = a_select3(xhatmin_ds1_filter_init,X10,X11) )
& leq(n0,pv5)
& ! [X13,X12] :
( ( leq(X13,n5)
& leq(X12,n5)
& leq(n0,X12)
& leq(n0,X13) )
=> init = a_select3(pminus_ds1_filter_init,X12,X13) )
& leq(pv5,n998)
& leq(pv63,n5)
& ! [X4,X5] :
( ( leq(n0,X5)
& leq(X4,n5)
& leq(X5,n0)
& leq(n0,X4) )
=> init = a_select3(dv_ds1_filter_init,X4,X5) )
& ! [X8,X9] :
( ( leq(X9,n2)
& leq(n0,X9)
& leq(n0,X8)
& leq(X8,n2) )
=> init = a_select3(r_ds1_filter_init,X8,X9) )
& leq(n0,pv64)
& pv63 != pv64
& ! [X0,X1] :
( ( leq(X1,n5)
& leq(n0,X0)
& leq(X0,n2)
& leq(n0,X1) )
=> a_select3(h_ds1_filter_init,X0,X1) = init )
& ! [X17,X16] :
( ( leq(X16,n5)
& leq(X17,n5)
& leq(n0,X17)
& leq(n0,X16) )
=> ( gt(pv63,X16)
=> init = a_select3(id_ds1_filter_init,X16,X17) ) )
& leq(pv64,n5)
& ! [X7,X6] :
( ( leq(X7,n5)
& leq(n0,X6)
& leq(n0,X7)
& leq(X6,n5) )
=> init = a_select3(q_ds1_filter_init,X6,X7) )
& leq(n0,pv63)
& ! [X18] :
( ( leq(X18,pred(pv63))
& leq(n0,X18) )
=> ! [X19] :
( ( leq(X19,n5)
& leq(n0,X19) )
=> init = a_select3(id_ds1_filter_init,X18,X19) ) )
& ! [X14,X15] :
( ( leq(n0,X15)
& leq(X15,n5)
& leq(X14,n5)
& leq(n0,X14) )
=> ( ( pv63 = X14
& gt(pv64,X15) )
=> init = a_select3(id_ds1_filter_init,X14,X15) ) ) )
=> ! [X21,X20] :
( ( leq(X20,n5)
& leq(X21,n5)
& leq(n0,X21)
& leq(n0,X20) )
=> ( ( pv64 != X21
& pv63 = X20
& leq(X21,pv64) )
=> init = a_select3(id_ds1_filter_init,X20,X21) ) ) ),
inference(negated_conjecture,[],[f2]) ).
fof(f2,conjecture,
~ ~ ( ( ! [X2,X3] :
( ( leq(X3,n5)
& leq(X2,n5)
& leq(n0,X2)
& leq(n0,X3) )
=> init = a_select3(phi_ds1_filter_init,X2,X3) )
& ! [X11,X10] :
( ( leq(X10,n5)
& leq(n0,X10)
& leq(X11,n0)
& leq(n0,X11) )
=> init = a_select3(xhatmin_ds1_filter_init,X10,X11) )
& leq(n0,pv5)
& ! [X13,X12] :
( ( leq(X13,n5)
& leq(X12,n5)
& leq(n0,X12)
& leq(n0,X13) )
=> init = a_select3(pminus_ds1_filter_init,X12,X13) )
& leq(pv5,n998)
& leq(pv63,n5)
& ! [X4,X5] :
( ( leq(n0,X5)
& leq(X4,n5)
& leq(X5,n0)
& leq(n0,X4) )
=> init = a_select3(dv_ds1_filter_init,X4,X5) )
& ! [X8,X9] :
( ( leq(X9,n2)
& leq(n0,X9)
& leq(n0,X8)
& leq(X8,n2) )
=> init = a_select3(r_ds1_filter_init,X8,X9) )
& leq(n0,pv64)
& pv63 != pv64
& ! [X0,X1] :
( ( leq(X1,n5)
& leq(n0,X0)
& leq(X0,n2)
& leq(n0,X1) )
=> a_select3(h_ds1_filter_init,X0,X1) = init )
& ! [X17,X16] :
( ( leq(X16,n5)
& leq(X17,n5)
& leq(n0,X17)
& leq(n0,X16) )
=> ( gt(pv63,X16)
=> init = a_select3(id_ds1_filter_init,X16,X17) ) )
& leq(pv64,n5)
& ! [X7,X6] :
( ( leq(X7,n5)
& leq(n0,X6)
& leq(n0,X7)
& leq(X6,n5) )
=> init = a_select3(q_ds1_filter_init,X6,X7) )
& leq(n0,pv63)
& ! [X18] :
( ( leq(X18,pred(pv63))
& leq(n0,X18) )
=> ! [X19] :
( ( leq(X19,n5)
& leq(n0,X19) )
=> init = a_select3(id_ds1_filter_init,X18,X19) ) )
& ! [X14,X15] :
( ( leq(n0,X15)
& leq(X15,n5)
& leq(X14,n5)
& leq(n0,X14) )
=> ( ( pv63 = X14
& gt(pv64,X15) )
=> init = a_select3(id_ds1_filter_init,X14,X15) ) ) )
=> ! [X21,X20] :
( ( leq(X20,n5)
& leq(X21,n5)
& leq(n0,X21)
& leq(n0,X20) )
=> ( ( pv64 != X21
& pv63 = X20
& leq(X21,pv64) )
=> init = a_select3(id_ds1_filter_init,X20,X21) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n91) ).
fof(f127,plain,
! [X8,X9] :
( ~ leq(n0,X8)
| ~ leq(n0,X9)
| ~ leq(X9,n5)
| init = a_select3(id_ds1_filter_init,X8,X9)
| ~ leq(X8,pred(pv63)) ),
inference(cnf_transformation,[],[f63]) ).
fof(f391,plain,
( init != a_select3(id_ds1_filter_init,sK9,sK10)
| spl31_45 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f389,plain,
( spl31_45
<=> init = a_select3(id_ds1_filter_init,sK9,sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_45])]) ).
fof(f488,plain,
( leq(sK9,pred(sK30))
| ~ spl31_64 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f486,plain,
( spl31_64
<=> leq(sK9,pred(sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_64])]) ).
fof(f282,plain,
( leq(n0,sK10)
| ~ spl31_25 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f280,plain,
( spl31_25
<=> leq(n0,sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_25])]) ).
fof(f483,plain,
( leq(n0,sK9)
| ~ spl31_63 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f481,plain,
( spl31_63
<=> leq(n0,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_63])]) ).
fof(f447,plain,
( leq(sK10,n5)
| ~ spl31_56 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f445,plain,
( spl31_56
<=> leq(sK10,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_56])]) ).
fof(f537,plain,
( spl31_12
| ~ spl31_27
| ~ spl31_47
| ~ spl31_54
| ~ spl31_66 ),
inference(avatar_contradiction_clause,[],[f536]) ).
fof(f536,plain,
( $false
| spl31_12
| ~ spl31_27
| ~ spl31_47
| ~ spl31_54
| ~ spl31_66 ),
inference(unit_resulting_resolution,[],[f498,f401,f436,f292,f219,f140]) ).
fof(f140,plain,
! [X0,X1] :
( ~ leq(n0,X1)
| ~ leq(X1,n5)
| init = a_select3(q_ds1_filter_init,X0,X1)
| ~ leq(X0,n5)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f219,plain,
( init != a_select3(q_ds1_filter_init,sK21,sK22)
| spl31_12 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f217,plain,
( spl31_12
<=> init = a_select3(q_ds1_filter_init,sK21,sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_12])]) ).
fof(f292,plain,
( leq(sK22,n5)
| ~ spl31_27 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f290,plain,
( spl31_27
<=> leq(sK22,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_27])]) ).
fof(f436,plain,
( leq(n0,sK22)
| ~ spl31_54 ),
inference(avatar_component_clause,[],[f434]) ).
fof(f434,plain,
( spl31_54
<=> leq(n0,sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_54])]) ).
fof(f401,plain,
( leq(sK21,n5)
| ~ spl31_47 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f399,plain,
( spl31_47
<=> leq(sK21,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_47])]) ).
fof(f498,plain,
( leq(n0,sK21)
| ~ spl31_66 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f496,plain,
( spl31_66
<=> leq(n0,sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_66])]) ).
fof(f535,plain,
( ~ spl31_14
| ~ spl31_36
| spl31_51
| ~ spl31_52
| ~ spl31_53 ),
inference(avatar_contradiction_clause,[],[f534]) ).
fof(f534,plain,
( $false
| ~ spl31_14
| ~ spl31_36
| spl31_51
| ~ spl31_52
| ~ spl31_53 ),
inference(unit_resulting_resolution,[],[f228,f343,f426,f431,f421,f129]) ).
fof(f129,plain,
! [X4,X5] :
( ~ leq(n0,X5)
| ~ leq(X4,n5)
| ~ leq(n0,X4)
| ~ leq(X5,n5)
| init = a_select3(pminus_ds1_filter_init,X5,X4) ),
inference(cnf_transformation,[],[f63]) ).
fof(f421,plain,
( init != a_select3(pminus_ds1_filter_init,sK20,sK19)
| spl31_51 ),
inference(avatar_component_clause,[],[f419]) ).
fof(f419,plain,
( spl31_51
<=> init = a_select3(pminus_ds1_filter_init,sK20,sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_51])]) ).
fof(f431,plain,
( leq(sK19,n5)
| ~ spl31_53 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f429,plain,
( spl31_53
<=> leq(sK19,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_53])]) ).
fof(f426,plain,
( leq(n0,sK19)
| ~ spl31_52 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f424,plain,
( spl31_52
<=> leq(n0,sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_52])]) ).
fof(f343,plain,
( leq(sK20,n5)
| ~ spl31_36 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f341,plain,
( spl31_36
<=> leq(sK20,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_36])]) ).
fof(f228,plain,
( leq(n0,sK20)
| ~ spl31_14 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f226,plain,
( spl31_14
<=> leq(n0,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_14])]) ).
fof(f533,plain,
( ~ spl31_32
| ~ spl31_35
| ~ spl31_39
| spl31_58
| ~ spl31_61 ),
inference(avatar_contradiction_clause,[],[f532]) ).
fof(f532,plain,
( $false
| ~ spl31_32
| ~ spl31_35
| ~ spl31_39
| spl31_58
| ~ spl31_61 ),
inference(unit_resulting_resolution,[],[f323,f338,f473,f361,f457,f128]) ).
fof(f128,plain,
! [X6,X7] :
( ~ leq(n0,X7)
| ~ leq(X6,n0)
| ~ leq(n0,X6)
| ~ leq(X7,n5)
| init = a_select3(xhatmin_ds1_filter_init,X7,X6) ),
inference(cnf_transformation,[],[f63]) ).
fof(f457,plain,
( init != a_select3(xhatmin_ds1_filter_init,sK15,sK16)
| spl31_58 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f455,plain,
( spl31_58
<=> init = a_select3(xhatmin_ds1_filter_init,sK15,sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_58])]) ).
fof(f361,plain,
( leq(sK16,n0)
| ~ spl31_39 ),
inference(avatar_component_clause,[],[f359]) ).
fof(f359,plain,
( spl31_39
<=> leq(sK16,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_39])]) ).
fof(f473,plain,
( leq(n0,sK16)
| ~ spl31_61 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f471,plain,
( spl31_61
<=> leq(n0,sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_61])]) ).
fof(f338,plain,
( leq(sK15,n5)
| ~ spl31_35 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f336,plain,
( spl31_35
<=> leq(sK15,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_35])]) ).
fof(f323,plain,
( leq(n0,sK15)
| ~ spl31_32 ),
inference(avatar_component_clause,[],[f321]) ).
fof(f321,plain,
( spl31_32
<=> leq(n0,sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_32])]) ).
fof(f528,plain,
( spl31_5
| ~ spl31_26
| ~ spl31_41
| ~ spl31_46
| ~ spl31_48 ),
inference(avatar_contradiction_clause,[],[f527]) ).
fof(f527,plain,
( $false
| spl31_5
| ~ spl31_26
| ~ spl31_41
| ~ spl31_46
| ~ spl31_48 ),
inference(unit_resulting_resolution,[],[f406,f287,f396,f188,f525]) ).
fof(f525,plain,
( ! [X15] :
( ~ gt(pv64,X15)
| ~ leq(n0,X15)
| init = a_select3(id_ds1_filter_init,sK25,X15)
| ~ leq(X15,n5) )
| ~ spl31_41 ),
inference(backward_demodulation,[],[f506,f371]) ).
fof(f371,plain,
( sK30 = sK25
| ~ spl31_41 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f369,plain,
( spl31_41
<=> sK30 = sK25 ),
introduced(avatar_definition,[new_symbols(naming,[spl31_41])]) ).
fof(f506,plain,
! [X15] :
( ~ gt(pv64,X15)
| ~ leq(n0,X15)
| init = a_select3(id_ds1_filter_init,sK30,X15)
| ~ leq(X15,n5) ),
inference(subsumption_resolution,[],[f505,f150]) ).
fof(f150,plain,
leq(n0,sK30),
inference(definition_unfolding,[],[f139,f138]) ).
fof(f139,plain,
leq(n0,pv63),
inference(cnf_transformation,[],[f63]) ).
fof(f505,plain,
! [X15] :
( ~ gt(pv64,X15)
| ~ leq(n0,sK30)
| init = a_select3(id_ds1_filter_init,sK30,X15)
| ~ leq(X15,n5)
| ~ leq(n0,X15) ),
inference(subsumption_resolution,[],[f161,f137]) ).
fof(f137,plain,
leq(sK30,n5),
inference(cnf_transformation,[],[f63]) ).
fof(f161,plain,
! [X15] :
( ~ leq(X15,n5)
| ~ leq(sK30,n5)
| ~ leq(n0,sK30)
| init = a_select3(id_ds1_filter_init,sK30,X15)
| ~ leq(n0,X15)
| ~ gt(pv64,X15) ),
inference(equality_resolution,[],[f154]) ).
fof(f154,plain,
! [X14,X15] :
( sK30 != X14
| ~ leq(X15,n5)
| init = a_select3(id_ds1_filter_init,X14,X15)
| ~ leq(X14,n5)
| ~ leq(n0,X15)
| ~ gt(pv64,X15)
| ~ leq(n0,X14) ),
inference(definition_unfolding,[],[f121,f138]) ).
fof(f121,plain,
! [X14,X15] :
( pv63 != X14
| ~ leq(X15,n5)
| init = a_select3(id_ds1_filter_init,X14,X15)
| ~ leq(X14,n5)
| ~ leq(n0,X15)
| ~ gt(pv64,X15)
| ~ leq(n0,X14) ),
inference(cnf_transformation,[],[f63]) ).
fof(f188,plain,
( init != a_select3(id_ds1_filter_init,sK25,sK26)
| spl31_5 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f186,plain,
( spl31_5
<=> init = a_select3(id_ds1_filter_init,sK25,sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_5])]) ).
fof(f396,plain,
( leq(n0,sK26)
| ~ spl31_46 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f394,plain,
( spl31_46
<=> leq(n0,sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_46])]) ).
fof(f287,plain,
( gt(pv64,sK26)
| ~ spl31_26 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f285,plain,
( spl31_26
<=> gt(pv64,sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_26])]) ).
fof(f406,plain,
( leq(sK26,n5)
| ~ spl31_48 ),
inference(avatar_component_clause,[],[f404]) ).
fof(f404,plain,
( spl31_48
<=> leq(sK26,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_48])]) ).
fof(f519,plain,
( ~ spl31_8
| spl31_43
| ~ spl31_55
| ~ spl31_57
| ~ spl31_62 ),
inference(avatar_contradiction_clause,[],[f518]) ).
fof(f518,plain,
( $false
| ~ spl31_8
| spl31_43
| ~ spl31_55
| ~ spl31_57
| ~ spl31_62 ),
inference(unit_resulting_resolution,[],[f452,f478,f442,f201,f381,f122]) ).
fof(f122,plain,
! [X12,X13] :
( ~ leq(n0,X13)
| ~ leq(X12,n2)
| init = a_select3(h_ds1_filter_init,X12,X13)
| ~ leq(X13,n5)
| ~ leq(n0,X12) ),
inference(cnf_transformation,[],[f63]) ).
fof(f381,plain,
( init != a_select3(h_ds1_filter_init,sK17,sK18)
| spl31_43 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f379,plain,
( spl31_43
<=> init = a_select3(h_ds1_filter_init,sK17,sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_43])]) ).
fof(f201,plain,
( leq(sK17,n2)
| ~ spl31_8 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f199,plain,
( spl31_8
<=> leq(sK17,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_8])]) ).
fof(f442,plain,
( leq(n0,sK18)
| ~ spl31_55 ),
inference(avatar_component_clause,[],[f440]) ).
fof(f440,plain,
( spl31_55
<=> leq(n0,sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_55])]) ).
fof(f478,plain,
( leq(sK18,n5)
| ~ spl31_62 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f476,plain,
( spl31_62
<=> leq(sK18,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_62])]) ).
fof(f452,plain,
( leq(n0,sK17)
| ~ spl31_57 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f450,plain,
( spl31_57
<=> leq(n0,sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_57])]) ).
fof(f517,plain,
( ~ spl31_3
| ~ spl31_30
| spl31_34
| ~ spl31_60
| ~ spl31_67 ),
inference(avatar_contradiction_clause,[],[f516]) ).
fof(f516,plain,
( $false
| ~ spl31_3
| ~ spl31_30
| spl31_34
| ~ spl31_60
| ~ spl31_67 ),
inference(unit_resulting_resolution,[],[f313,f503,f179,f467,f333,f126]) ).
fof(f126,plain,
! [X10,X11] :
( ~ leq(n0,X11)
| init = a_select3(phi_ds1_filter_init,X10,X11)
| ~ leq(X10,n5)
| ~ leq(X11,n5)
| ~ leq(n0,X10) ),
inference(cnf_transformation,[],[f63]) ).
fof(f333,plain,
( init != a_select3(phi_ds1_filter_init,sK13,sK14)
| spl31_34 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f331,plain,
( spl31_34
<=> init = a_select3(phi_ds1_filter_init,sK13,sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_34])]) ).
fof(f467,plain,
( leq(n0,sK14)
| ~ spl31_60 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f465,plain,
( spl31_60
<=> leq(n0,sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_60])]) ).
fof(f179,plain,
( leq(sK13,n5)
| ~ spl31_3 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f177,plain,
( spl31_3
<=> leq(sK13,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_3])]) ).
fof(f503,plain,
( leq(sK14,n5)
| ~ spl31_67 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f501,plain,
( spl31_67
<=> leq(sK14,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_67])]) ).
fof(f313,plain,
( leq(n0,sK13)
| ~ spl31_30 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f311,plain,
( spl31_30
<=> leq(n0,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_30])]) ).
fof(f515,plain,
( ~ spl31_9
| spl31_33
| ~ spl31_42
| ~ spl31_44
| ~ spl31_65 ),
inference(avatar_contradiction_clause,[],[f514]) ).
fof(f514,plain,
( $false
| ~ spl31_9
| spl31_33
| ~ spl31_42
| ~ spl31_44
| ~ spl31_65 ),
inference(unit_resulting_resolution,[],[f493,f386,f206,f376,f328,f119]) ).
fof(f119,plain,
! [X16,X17] :
( ~ leq(n0,X17)
| init = a_select3(r_ds1_filter_init,X17,X16)
| ~ leq(X17,n2)
| ~ leq(X16,n2)
| ~ leq(n0,X16) ),
inference(cnf_transformation,[],[f63]) ).
fof(f328,plain,
( init != a_select3(r_ds1_filter_init,sK12,sK11)
| spl31_33 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f326,plain,
( spl31_33
<=> init = a_select3(r_ds1_filter_init,sK12,sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_33])]) ).
fof(f376,plain,
( leq(n0,sK12)
| ~ spl31_42 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f374,plain,
( spl31_42
<=> leq(n0,sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_42])]) ).
fof(f206,plain,
( leq(sK12,n2)
| ~ spl31_9 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f204,plain,
( spl31_9
<=> leq(sK12,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_9])]) ).
fof(f386,plain,
( leq(sK11,n2)
| ~ spl31_44 ),
inference(avatar_component_clause,[],[f384]) ).
fof(f384,plain,
( spl31_44
<=> leq(sK11,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_44])]) ).
fof(f493,plain,
( leq(n0,sK11)
| ~ spl31_65 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f491,plain,
( spl31_65
<=> leq(n0,sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_65])]) ).
fof(f513,plain,
( ~ spl31_20
| spl31_23
| ~ spl31_28
| ~ spl31_29
| ~ spl31_37 ),
inference(avatar_contradiction_clause,[],[f512]) ).
fof(f512,plain,
( $false
| ~ spl31_20
| spl31_23
| ~ spl31_28
| ~ spl31_29
| ~ spl31_37 ),
inference(unit_resulting_resolution,[],[f351,f300,f255,f308,f271,f117]) ).
fof(f117,plain,
! [X21,X20] :
( ~ leq(n0,X21)
| ~ leq(X21,n0)
| ~ leq(X20,n5)
| init = a_select3(dv_ds1_filter_init,X20,X21)
| ~ leq(n0,X20) ),
inference(cnf_transformation,[],[f63]) ).
fof(f271,plain,
( init != a_select3(dv_ds1_filter_init,sK28,sK27)
| spl31_23 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f269,plain,
( spl31_23
<=> init = a_select3(dv_ds1_filter_init,sK28,sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_23])]) ).
fof(f308,plain,
( leq(sK27,n0)
| ~ spl31_29 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f306,plain,
( spl31_29
<=> leq(sK27,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_29])]) ).
fof(f255,plain,
( leq(sK28,n5)
| ~ spl31_20 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f253,plain,
( spl31_20
<=> leq(sK28,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_20])]) ).
fof(f300,plain,
( leq(n0,sK27)
| ~ spl31_28 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f298,plain,
( spl31_28
<=> leq(n0,sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_28])]) ).
fof(f351,plain,
( leq(n0,sK28)
| ~ spl31_37 ),
inference(avatar_component_clause,[],[f349]) ).
fof(f349,plain,
( spl31_37
<=> leq(n0,sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_37])]) ).
fof(f511,plain,
~ spl31_19,
inference(avatar_contradiction_clause,[],[f510]) ).
fof(f510,plain,
( $false
| ~ spl31_19 ),
inference(unit_resulting_resolution,[],[f135,f131,f132,f134,f136,f251]) ).
fof(f251,plain,
( ! [X2] :
( ~ leq(n0,X2)
| ~ leq(X2,n5)
| pv64 = X2
| init = a_select3(id_ds1_filter_init,sK30,X2)
| ~ leq(X2,pv64) )
| ~ spl31_19 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f250,plain,
( spl31_19
<=> ! [X2] :
( ~ leq(X2,n5)
| ~ leq(X2,pv64)
| pv64 = X2
| ~ leq(n0,X2)
| init = a_select3(id_ds1_filter_init,sK30,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_19])]) ).
fof(f136,plain,
init != a_select3(id_ds1_filter_init,sK30,sK29),
inference(cnf_transformation,[],[f63]) ).
fof(f134,plain,
leq(sK29,n5),
inference(cnf_transformation,[],[f63]) ).
fof(f132,plain,
pv64 != sK29,
inference(cnf_transformation,[],[f63]) ).
fof(f131,plain,
leq(n0,sK29),
inference(cnf_transformation,[],[f63]) ).
fof(f135,plain,
leq(sK29,pv64),
inference(cnf_transformation,[],[f63]) ).
fof(f509,plain,
( spl31_1
| ~ spl31_24
| ~ spl31_31
| ~ spl31_40
| ~ spl31_49
| ~ spl31_50 ),
inference(avatar_contradiction_clause,[],[f508]) ).
fof(f508,plain,
( $false
| spl31_1
| ~ spl31_24
| ~ spl31_31
| ~ spl31_40
| ~ spl31_49
| ~ spl31_50 ),
inference(unit_resulting_resolution,[],[f277,f318,f416,f366,f411,f170,f155]) ).
fof(f155,plain,
! [X18,X19] :
( ~ gt(sK30,X19)
| ~ leq(X18,n5)
| ~ leq(n0,X19)
| ~ leq(X19,n5)
| ~ leq(n0,X18)
| init = a_select3(id_ds1_filter_init,X19,X18) ),
inference(definition_unfolding,[],[f118,f138]) ).
fof(f118,plain,
! [X18,X19] :
( init = a_select3(id_ds1_filter_init,X19,X18)
| ~ gt(pv63,X19)
| ~ leq(n0,X18)
| ~ leq(n0,X19)
| ~ leq(X19,n5)
| ~ leq(X18,n5) ),
inference(cnf_transformation,[],[f63]) ).
fof(f170,plain,
( init != a_select3(id_ds1_filter_init,sK23,sK24)
| spl31_1 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f168,plain,
( spl31_1
<=> init = a_select3(id_ds1_filter_init,sK23,sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1])]) ).
fof(f411,plain,
( leq(n0,sK24)
| ~ spl31_49 ),
inference(avatar_component_clause,[],[f409]) ).
fof(f409,plain,
( spl31_49
<=> leq(n0,sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_49])]) ).
fof(f366,plain,
( leq(n0,sK23)
| ~ spl31_40 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f364,plain,
( spl31_40
<=> leq(n0,sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_40])]) ).
fof(f416,plain,
( gt(sK30,sK23)
| ~ spl31_50 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f414,plain,
( spl31_50
<=> gt(sK30,sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_50])]) ).
fof(f318,plain,
( leq(sK23,n5)
| ~ spl31_31 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f316,plain,
( spl31_31
<=> leq(sK23,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_31])]) ).
fof(f277,plain,
( leq(sK24,n5)
| ~ spl31_24 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f275,plain,
( spl31_24
<=> leq(sK24,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_24])]) ).
fof(f507,plain,
spl31_21,
inference(avatar_split_clause,[],[f120,f257]) ).
fof(f257,plain,
( spl31_21
<=> leq(pv5,n998) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_21])]) ).
fof(f120,plain,
leq(pv5,n998),
inference(cnf_transformation,[],[f63]) ).
fof(f504,plain,
( spl31_67
| ~ spl31_4 ),
inference(avatar_split_clause,[],[f75,f181,f501]) ).
fof(f181,plain,
( spl31_4
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl31_4])]) ).
fof(f75,plain,
( ~ sP6
| leq(sK14,n5) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
( ( init != a_select3(phi_ds1_filter_init,sK13,sK14)
& leq(n0,sK13)
& leq(n0,sK14)
& leq(sK14,n5)
& leq(sK13,n5) )
| ~ sP6 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f31,f32]) ).
fof(f32,plain,
( ? [X0,X1] :
( init != a_select3(phi_ds1_filter_init,X0,X1)
& leq(n0,X0)
& leq(n0,X1)
& leq(X1,n5)
& leq(X0,n5) )
=> ( init != a_select3(phi_ds1_filter_init,sK13,sK14)
& leq(n0,sK13)
& leq(n0,sK14)
& leq(sK14,n5)
& leq(sK13,n5) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
( ? [X0,X1] :
( init != a_select3(phi_ds1_filter_init,X0,X1)
& leq(n0,X0)
& leq(n0,X1)
& leq(X1,n5)
& leq(X0,n5) )
| ~ sP6 ),
inference(rectify,[],[f30]) ).
fof(f30,plain,
( ? [X9,X8] :
( init != a_select3(phi_ds1_filter_init,X9,X8)
& leq(n0,X9)
& leq(n0,X8)
& leq(X8,n5)
& leq(X9,n5) )
| ~ sP6 ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
( ? [X9,X8] :
( init != a_select3(phi_ds1_filter_init,X9,X8)
& leq(n0,X9)
& leq(n0,X8)
& leq(X8,n5)
& leq(X9,n5) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f499,plain,
( ~ spl31_11
| spl31_66 ),
inference(avatar_split_clause,[],[f94,f496,f213]) ).
fof(f213,plain,
( spl31_11
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl31_11])]) ).
fof(f94,plain,
( leq(n0,sK21)
| ~ sP2 ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( ( leq(n0,sK22)
& leq(sK22,n5)
& init != a_select3(q_ds1_filter_init,sK21,sK22)
& leq(sK21,n5)
& leq(n0,sK21) )
| ~ sP2 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21,sK22])],[f47,f48]) ).
fof(f48,plain,
( ? [X0,X1] :
( leq(n0,X1)
& leq(X1,n5)
& init != a_select3(q_ds1_filter_init,X0,X1)
& leq(X0,n5)
& leq(n0,X0) )
=> ( leq(n0,sK22)
& leq(sK22,n5)
& init != a_select3(q_ds1_filter_init,sK21,sK22)
& leq(sK21,n5)
& leq(n0,sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
( ? [X0,X1] :
( leq(n0,X1)
& leq(X1,n5)
& init != a_select3(q_ds1_filter_init,X0,X1)
& leq(X0,n5)
& leq(n0,X0) )
| ~ sP2 ),
inference(rectify,[],[f46]) ).
fof(f46,plain,
( ? [X1,X0] :
( leq(n0,X0)
& leq(X0,n5)
& init != a_select3(q_ds1_filter_init,X1,X0)
& leq(X1,n5)
& leq(n0,X1) )
| ~ sP2 ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
( ? [X1,X0] :
( leq(n0,X0)
& leq(X0,n5)
& init != a_select3(q_ds1_filter_init,X1,X0)
& leq(X1,n5)
& leq(n0,X1) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f494,plain,
( ~ spl31_10
| spl31_65 ),
inference(avatar_split_clause,[],[f69,f491,f208]) ).
fof(f208,plain,
( spl31_10
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl31_10])]) ).
fof(f69,plain,
( leq(n0,sK11)
| ~ sP7 ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
( ( leq(sK12,n2)
& init != a_select3(r_ds1_filter_init,sK12,sK11)
& leq(sK11,n2)
& leq(n0,sK12)
& leq(n0,sK11) )
| ~ sP7 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12])],[f27,f28]) ).
fof(f28,plain,
( ? [X0,X1] :
( leq(X1,n2)
& init != a_select3(r_ds1_filter_init,X1,X0)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> ( leq(sK12,n2)
& init != a_select3(r_ds1_filter_init,sK12,sK11)
& leq(sK11,n2)
& leq(n0,sK12)
& leq(n0,sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
( ? [X0,X1] :
( leq(X1,n2)
& init != a_select3(r_ds1_filter_init,X1,X0)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
| ~ sP7 ),
inference(rectify,[],[f26]) ).
fof(f26,plain,
( ? [X3,X2] :
( leq(X2,n2)
& init != a_select3(r_ds1_filter_init,X2,X3)
& leq(X3,n2)
& leq(n0,X2)
& leq(n0,X3) )
| ~ sP7 ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
( ? [X3,X2] :
( leq(X2,n2)
& init != a_select3(r_ds1_filter_init,X2,X3)
& leq(X3,n2)
& leq(n0,X2)
& leq(n0,X3) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f489,plain,
( spl31_64
| ~ spl31_15 ),
inference(avatar_split_clause,[],[f142,f234,f486]) ).
fof(f234,plain,
( spl31_15
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl31_15])]) ).
fof(f142,plain,
( ~ sP8
| leq(sK9,pred(sK30)) ),
inference(definition_unfolding,[],[f64,f138]) ).
fof(f64,plain,
( leq(sK9,pred(pv63))
| ~ sP8 ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
( ( leq(sK10,n5)
& init != a_select3(id_ds1_filter_init,sK9,sK10)
& leq(n0,sK10)
& leq(n0,sK9)
& leq(sK9,pred(pv63)) )
| ~ sP8 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f22,f24,f23]) ).
fof(f23,plain,
( ? [X0] :
( ? [X1] :
( leq(X1,n5)
& init != a_select3(id_ds1_filter_init,X0,X1)
& leq(n0,X1) )
& leq(n0,X0)
& leq(X0,pred(pv63)) )
=> ( ? [X1] :
( leq(X1,n5)
& init != a_select3(id_ds1_filter_init,sK9,X1)
& leq(n0,X1) )
& leq(n0,sK9)
& leq(sK9,pred(pv63)) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
( ? [X1] :
( leq(X1,n5)
& init != a_select3(id_ds1_filter_init,sK9,X1)
& leq(n0,X1) )
=> ( leq(sK10,n5)
& init != a_select3(id_ds1_filter_init,sK9,sK10)
& leq(n0,sK10) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
( ? [X0] :
( ? [X1] :
( leq(X1,n5)
& init != a_select3(id_ds1_filter_init,X0,X1)
& leq(n0,X1) )
& leq(n0,X0)
& leq(X0,pred(pv63)) )
| ~ sP8 ),
inference(rectify,[],[f21]) ).
fof(f21,plain,
( ? [X14] :
( ? [X15] :
( leq(X15,n5)
& init != a_select3(id_ds1_filter_init,X14,X15)
& leq(n0,X15) )
& leq(n0,X14)
& leq(X14,pred(pv63)) )
| ~ sP8 ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
( ? [X14] :
( ? [X15] :
( leq(X15,n5)
& init != a_select3(id_ds1_filter_init,X14,X15)
& leq(n0,X15) )
& leq(n0,X14)
& leq(X14,pred(pv63)) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f484,plain,
( spl31_63
| ~ spl31_15 ),
inference(avatar_split_clause,[],[f65,f234,f481]) ).
fof(f65,plain,
( ~ sP8
| leq(n0,sK9) ),
inference(cnf_transformation,[],[f25]) ).
fof(f479,plain,
( spl31_62
| ~ spl31_7 ),
inference(avatar_split_clause,[],[f85,f195,f476]) ).
fof(f195,plain,
( spl31_7
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl31_7])]) ).
fof(f85,plain,
( ~ sP4
| leq(sK18,n5) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
( ( leq(n0,sK18)
& leq(n0,sK17)
& init != a_select3(h_ds1_filter_init,sK17,sK18)
& leq(sK18,n5)
& leq(sK17,n2) )
| ~ sP4 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18])],[f39,f40]) ).
fof(f40,plain,
( ? [X0,X1] :
( leq(n0,X1)
& leq(n0,X0)
& a_select3(h_ds1_filter_init,X0,X1) != init
& leq(X1,n5)
& leq(X0,n2) )
=> ( leq(n0,sK18)
& leq(n0,sK17)
& init != a_select3(h_ds1_filter_init,sK17,sK18)
& leq(sK18,n5)
& leq(sK17,n2) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
( ? [X0,X1] :
( leq(n0,X1)
& leq(n0,X0)
& a_select3(h_ds1_filter_init,X0,X1) != init
& leq(X1,n5)
& leq(X0,n2) )
| ~ sP4 ),
inference(rectify,[],[f38]) ).
fof(f38,plain,
( ? [X10,X11] :
( leq(n0,X11)
& leq(n0,X10)
& init != a_select3(h_ds1_filter_init,X10,X11)
& leq(X11,n5)
& leq(X10,n2) )
| ~ sP4 ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
( ? [X10,X11] :
( leq(n0,X11)
& leq(n0,X10)
& init != a_select3(h_ds1_filter_init,X10,X11)
& leq(X11,n5)
& leq(X10,n2) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f474,plain,
( ~ spl31_16
| spl31_61 ),
inference(avatar_split_clause,[],[f81,f471,f238]) ).
fof(f238,plain,
( spl31_16
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl31_16])]) ).
fof(f81,plain,
( leq(n0,sK16)
| ~ sP5 ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
( ( leq(sK16,n0)
& leq(sK15,n5)
& leq(n0,sK16)
& leq(n0,sK15)
& init != a_select3(xhatmin_ds1_filter_init,sK15,sK16) )
| ~ sP5 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16])],[f35,f36]) ).
fof(f36,plain,
( ? [X0,X1] :
( leq(X1,n0)
& leq(X0,n5)
& leq(n0,X1)
& leq(n0,X0)
& init != a_select3(xhatmin_ds1_filter_init,X0,X1) )
=> ( leq(sK16,n0)
& leq(sK15,n5)
& leq(n0,sK16)
& leq(n0,sK15)
& init != a_select3(xhatmin_ds1_filter_init,sK15,sK16) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
( ? [X0,X1] :
( leq(X1,n0)
& leq(X0,n5)
& leq(n0,X1)
& leq(n0,X0)
& init != a_select3(xhatmin_ds1_filter_init,X0,X1) )
| ~ sP5 ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
( ? [X4,X5] :
( leq(X5,n0)
& leq(X4,n5)
& leq(n0,X5)
& leq(n0,X4)
& init != a_select3(xhatmin_ds1_filter_init,X4,X5) )
| ~ sP5 ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
( ? [X4,X5] :
( leq(X5,n0)
& leq(X4,n5)
& leq(n0,X5)
& leq(n0,X4)
& init != a_select3(xhatmin_ds1_filter_init,X4,X5) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f469,plain,
spl31_22,
inference(avatar_split_clause,[],[f141,f261]) ).
fof(f261,plain,
( spl31_22
<=> leq(n0,pv64) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_22])]) ).
fof(f141,plain,
leq(n0,pv64),
inference(cnf_transformation,[],[f63]) ).
fof(f468,plain,
( spl31_60
| ~ spl31_4 ),
inference(avatar_split_clause,[],[f76,f181,f465]) ).
fof(f76,plain,
( ~ sP6
| leq(n0,sK14) ),
inference(cnf_transformation,[],[f33]) ).
fof(f458,plain,
( ~ spl31_16
| ~ spl31_58 ),
inference(avatar_split_clause,[],[f79,f455,f238]) ).
fof(f79,plain,
( init != a_select3(xhatmin_ds1_filter_init,sK15,sK16)
| ~ sP5 ),
inference(cnf_transformation,[],[f37]) ).
fof(f453,plain,
( spl31_57
| ~ spl31_7 ),
inference(avatar_split_clause,[],[f87,f195,f450]) ).
fof(f87,plain,
( ~ sP4
| leq(n0,sK17) ),
inference(cnf_transformation,[],[f41]) ).
fof(f448,plain,
( spl31_56
| ~ spl31_15 ),
inference(avatar_split_clause,[],[f68,f234,f445]) ).
fof(f68,plain,
( ~ sP8
| leq(sK10,n5) ),
inference(cnf_transformation,[],[f25]) ).
fof(f443,plain,
( ~ spl31_7
| spl31_55 ),
inference(avatar_split_clause,[],[f88,f440,f195]) ).
fof(f88,plain,
( leq(n0,sK18)
| ~ sP4 ),
inference(cnf_transformation,[],[f41]) ).
fof(f438,plain,
spl31_17,
inference(avatar_split_clause,[],[f124,f242]) ).
fof(f242,plain,
( spl31_17
<=> leq(pv64,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_17])]) ).
fof(f124,plain,
leq(pv64,n5),
inference(cnf_transformation,[],[f63]) ).
fof(f437,plain,
( ~ spl31_11
| spl31_54 ),
inference(avatar_split_clause,[],[f98,f434,f213]) ).
fof(f98,plain,
( leq(n0,sK22)
| ~ sP2 ),
inference(cnf_transformation,[],[f49]) ).
fof(f432,plain,
( spl31_53
| ~ spl31_13 ),
inference(avatar_split_clause,[],[f91,f222,f429]) ).
fof(f222,plain,
( spl31_13
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl31_13])]) ).
fof(f91,plain,
( ~ sP3
| leq(sK19,n5) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( ( leq(sK20,n5)
& leq(n0,sK19)
& leq(sK19,n5)
& init != a_select3(pminus_ds1_filter_init,sK20,sK19)
& leq(n0,sK20) )
| ~ sP3 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20])],[f43,f44]) ).
fof(f44,plain,
( ? [X0,X1] :
( leq(X1,n5)
& leq(n0,X0)
& leq(X0,n5)
& init != a_select3(pminus_ds1_filter_init,X1,X0)
& leq(n0,X1) )
=> ( leq(sK20,n5)
& leq(n0,sK19)
& leq(sK19,n5)
& init != a_select3(pminus_ds1_filter_init,sK20,sK19)
& leq(n0,sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
( ? [X0,X1] :
( leq(X1,n5)
& leq(n0,X0)
& leq(X0,n5)
& init != a_select3(pminus_ds1_filter_init,X1,X0)
& leq(n0,X1) )
| ~ sP3 ),
inference(rectify,[],[f42]) ).
fof(f42,plain,
( ? [X13,X12] :
( leq(X12,n5)
& leq(n0,X13)
& leq(X13,n5)
& init != a_select3(pminus_ds1_filter_init,X12,X13)
& leq(n0,X12) )
| ~ sP3 ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,plain,
( ? [X13,X12] :
( leq(X12,n5)
& leq(n0,X13)
& leq(X13,n5)
& init != a_select3(pminus_ds1_filter_init,X12,X13)
& leq(n0,X12) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f427,plain,
( spl31_52
| ~ spl31_13 ),
inference(avatar_split_clause,[],[f92,f222,f424]) ).
fof(f92,plain,
( ~ sP3
| leq(n0,sK19) ),
inference(cnf_transformation,[],[f45]) ).
fof(f422,plain,
( ~ spl31_13
| ~ spl31_51 ),
inference(avatar_split_clause,[],[f90,f419,f222]) ).
fof(f90,plain,
( init != a_select3(pminus_ds1_filter_init,sK20,sK19)
| ~ sP3 ),
inference(cnf_transformation,[],[f45]) ).
fof(f417,plain,
( ~ spl31_2
| spl31_50 ),
inference(avatar_split_clause,[],[f143,f414,f172]) ).
fof(f172,plain,
( spl31_2
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl31_2])]) ).
fof(f143,plain,
( gt(sK30,sK23)
| ~ sP1 ),
inference(definition_unfolding,[],[f103,f138]) ).
fof(f103,plain,
( gt(pv63,sK23)
| ~ sP1 ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( ( leq(sK23,n5)
& gt(pv63,sK23)
& leq(n0,sK24)
& leq(sK24,n5)
& leq(n0,sK23)
& init != a_select3(id_ds1_filter_init,sK23,sK24) )
| ~ sP1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23,sK24])],[f51,f52]) ).
fof(f52,plain,
( ? [X0,X1] :
( leq(X0,n5)
& gt(pv63,X0)
& leq(n0,X1)
& leq(X1,n5)
& leq(n0,X0)
& init != a_select3(id_ds1_filter_init,X0,X1) )
=> ( leq(sK23,n5)
& gt(pv63,sK23)
& leq(n0,sK24)
& leq(sK24,n5)
& leq(n0,sK23)
& init != a_select3(id_ds1_filter_init,sK23,sK24) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
( ? [X0,X1] :
( leq(X0,n5)
& gt(pv63,X0)
& leq(n0,X1)
& leq(X1,n5)
& leq(n0,X0)
& init != a_select3(id_ds1_filter_init,X0,X1) )
| ~ sP1 ),
inference(rectify,[],[f50]) ).
fof(f50,plain,
( ? [X19,X18] :
( leq(X19,n5)
& gt(pv63,X19)
& leq(n0,X18)
& leq(X18,n5)
& leq(n0,X19)
& init != a_select3(id_ds1_filter_init,X19,X18) )
| ~ sP1 ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
( ? [X19,X18] :
( leq(X19,n5)
& gt(pv63,X19)
& leq(n0,X18)
& leq(X18,n5)
& leq(n0,X19)
& init != a_select3(id_ds1_filter_init,X19,X18) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f412,plain,
( spl31_49
| ~ spl31_2 ),
inference(avatar_split_clause,[],[f102,f172,f409]) ).
fof(f102,plain,
( ~ sP1
| leq(n0,sK24) ),
inference(cnf_transformation,[],[f53]) ).
fof(f407,plain,
( ~ spl31_6
| spl31_48 ),
inference(avatar_split_clause,[],[f105,f404,f190]) ).
fof(f190,plain,
( spl31_6
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl31_6])]) ).
fof(f105,plain,
( leq(sK26,n5)
| ~ sP0 ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
( ( pv63 = sK25
& gt(pv64,sK26)
& leq(n0,sK26)
& init != a_select3(id_ds1_filter_init,sK25,sK26)
& leq(n0,sK25)
& leq(sK25,n5)
& leq(sK26,n5) )
| ~ sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25,sK26])],[f55,f56]) ).
fof(f56,plain,
( ? [X0,X1] :
( pv63 = X0
& gt(pv64,X1)
& leq(n0,X1)
& init != a_select3(id_ds1_filter_init,X0,X1)
& leq(n0,X0)
& leq(X0,n5)
& leq(X1,n5) )
=> ( pv63 = sK25
& gt(pv64,sK26)
& leq(n0,sK26)
& init != a_select3(id_ds1_filter_init,sK25,sK26)
& leq(n0,sK25)
& leq(sK25,n5)
& leq(sK26,n5) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
( ? [X0,X1] :
( pv63 = X0
& gt(pv64,X1)
& leq(n0,X1)
& init != a_select3(id_ds1_filter_init,X0,X1)
& leq(n0,X0)
& leq(X0,n5)
& leq(X1,n5) )
| ~ sP0 ),
inference(rectify,[],[f54]) ).
fof(f54,plain,
( ? [X17,X16] :
( pv63 = X17
& gt(pv64,X16)
& leq(n0,X16)
& init != a_select3(id_ds1_filter_init,X17,X16)
& leq(n0,X17)
& leq(X17,n5)
& leq(X16,n5) )
| ~ sP0 ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
( ? [X17,X16] :
( pv63 = X17
& gt(pv64,X16)
& leq(n0,X16)
& init != a_select3(id_ds1_filter_init,X17,X16)
& leq(n0,X17)
& leq(X17,n5)
& leq(X16,n5) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f402,plain,
( spl31_47
| ~ spl31_11 ),
inference(avatar_split_clause,[],[f95,f213,f399]) ).
fof(f95,plain,
( ~ sP2
| leq(sK21,n5) ),
inference(cnf_transformation,[],[f49]) ).
fof(f397,plain,
( spl31_46
| ~ spl31_6 ),
inference(avatar_split_clause,[],[f109,f190,f394]) ).
fof(f109,plain,
( ~ sP0
| leq(n0,sK26) ),
inference(cnf_transformation,[],[f57]) ).
fof(f392,plain,
( ~ spl31_15
| ~ spl31_45 ),
inference(avatar_split_clause,[],[f67,f389,f234]) ).
fof(f67,plain,
( init != a_select3(id_ds1_filter_init,sK9,sK10)
| ~ sP8 ),
inference(cnf_transformation,[],[f25]) ).
fof(f387,plain,
( ~ spl31_10
| spl31_44 ),
inference(avatar_split_clause,[],[f71,f384,f208]) ).
fof(f71,plain,
( leq(sK11,n2)
| ~ sP7 ),
inference(cnf_transformation,[],[f29]) ).
fof(f382,plain,
( ~ spl31_7
| ~ spl31_43 ),
inference(avatar_split_clause,[],[f86,f379,f195]) ).
fof(f86,plain,
( init != a_select3(h_ds1_filter_init,sK17,sK18)
| ~ sP4 ),
inference(cnf_transformation,[],[f41]) ).
fof(f377,plain,
( spl31_42
| ~ spl31_10 ),
inference(avatar_split_clause,[],[f70,f208,f374]) ).
fof(f70,plain,
( ~ sP7
| leq(n0,sK12) ),
inference(cnf_transformation,[],[f29]) ).
fof(f372,plain,
( spl31_41
| ~ spl31_6 ),
inference(avatar_split_clause,[],[f144,f190,f369]) ).
fof(f144,plain,
( ~ sP0
| sK30 = sK25 ),
inference(definition_unfolding,[],[f111,f138]) ).
fof(f111,plain,
( pv63 = sK25
| ~ sP0 ),
inference(cnf_transformation,[],[f57]) ).
fof(f367,plain,
( spl31_40
| ~ spl31_2 ),
inference(avatar_split_clause,[],[f100,f172,f364]) ).
fof(f100,plain,
( ~ sP1
| leq(n0,sK23) ),
inference(cnf_transformation,[],[f53]) ).
fof(f362,plain,
( ~ spl31_16
| spl31_39 ),
inference(avatar_split_clause,[],[f83,f359,f238]) ).
fof(f83,plain,
( leq(sK16,n0)
| ~ sP5 ),
inference(cnf_transformation,[],[f37]) ).
fof(f352,plain,
( spl31_7
| spl31_16
| spl31_2
| spl31_6
| spl31_10
| spl31_13
| ~ spl31_21
| spl31_4
| ~ spl31_22
| ~ spl31_17
| spl31_18
| spl31_15
| spl31_19
| spl31_37
| spl31_11 ),
inference(avatar_split_clause,[],[f347,f213,f349,f250,f234,f246,f242,f261,f181,f257,f222,f208,f190,f172,f238,f195]) ).
fof(f246,plain,
( spl31_18
<=> pv64 = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl31_18])]) ).
fof(f347,plain,
! [X2] :
( sP2
| leq(n0,sK28)
| init = a_select3(id_ds1_filter_init,sK30,X2)
| sP8
| pv64 = sK30
| ~ leq(n0,X2)
| ~ leq(pv64,n5)
| ~ leq(n0,pv64)
| sP6
| ~ leq(X2,n5)
| ~ leq(X2,pv64)
| pv64 = X2
| ~ leq(pv5,n998)
| sP3
| sP7
| sP0
| sP1
| sP5
| sP4 ),
inference(subsumption_resolution,[],[f346,f150]) ).
fof(f346,plain,
! [X2] :
( sP4
| leq(n0,sK28)
| ~ leq(n0,pv64)
| sP2
| sP0
| ~ leq(X2,n5)
| sP5
| sP8
| sP7
| ~ leq(pv5,n998)
| sP3
| init = a_select3(id_ds1_filter_init,sK30,X2)
| pv64 = sK30
| sP6
| ~ leq(X2,pv64)
| sP1
| ~ leq(n0,X2)
| ~ leq(pv64,n5)
| pv64 = X2
| ~ leq(n0,sK30) ),
inference(subsumption_resolution,[],[f345,f137]) ).
fof(f345,plain,
! [X2] :
( ~ leq(n0,X2)
| sP5
| ~ leq(pv5,n998)
| init = a_select3(id_ds1_filter_init,sK30,X2)
| ~ leq(n0,pv64)
| sP4
| sP6
| sP7
| ~ leq(pv64,n5)
| pv64 = X2
| ~ leq(sK30,n5)
| sP1
| ~ leq(X2,pv64)
| leq(n0,sK28)
| sP8
| ~ leq(X2,n5)
| sP2
| pv64 = sK30
| ~ leq(n0,sK30)
| sP0
| sP3 ),
inference(subsumption_resolution,[],[f162,f123]) ).
fof(f123,plain,
leq(n0,pv5),
inference(cnf_transformation,[],[f63]) ).
fof(f162,plain,
! [X2] :
( leq(n0,sK28)
| ~ leq(n0,pv5)
| sP6
| pv64 = sK30
| ~ leq(n0,pv64)
| ~ leq(sK30,n5)
| ~ leq(X2,pv64)
| sP2
| sP8
| ~ leq(X2,n5)
| ~ leq(pv64,n5)
| sP5
| sP4
| sP1
| ~ leq(n0,X2)
| sP7
| ~ leq(n0,sK30)
| sP0
| pv64 = X2
| sP3
| ~ leq(pv5,n998)
| init = a_select3(id_ds1_filter_init,sK30,X2) ),
inference(duplicate_literal_removal,[],[f157]) ).
fof(f157,plain,
! [X2] :
( pv64 = sK30
| sP5
| sP6
| sP3
| sP1
| ~ leq(n0,X2)
| sP4
| ~ leq(sK30,n5)
| sP0
| sP2
| ~ leq(n0,sK30)
| ~ leq(n0,pv5)
| ~ leq(pv5,n998)
| init = a_select3(id_ds1_filter_init,sK30,X2)
| pv64 = X2
| ~ leq(pv64,n5)
| ~ leq(X2,pv64)
| ~ leq(X2,n5)
| leq(n0,sK28)
| ~ leq(n0,sK30)
| sP7
| ~ leq(n0,pv64)
| sP8
| ~ leq(sK30,n5) ),
inference(equality_resolution,[],[f146]) ).
fof(f146,plain,
! [X2,X3] :
( leq(n0,sK28)
| sP8
| ~ leq(n0,pv5)
| ~ leq(sK30,n5)
| sP1
| ~ leq(n0,pv64)
| sP7
| ~ leq(pv5,n998)
| pv64 = X2
| sK30 != X3
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| init = a_select3(id_ds1_filter_init,X3,X2)
| ~ leq(X2,n5)
| ~ leq(X3,n5)
| ~ leq(X2,pv64)
| pv64 = sK30
| sP6
| sP5
| ~ leq(n0,sK30)
| sP4
| sP3
| sP2
| sP0
| ~ leq(pv64,n5) ),
inference(definition_unfolding,[],[f115,f138,f138,f138,f138]) ).
fof(f115,plain,
! [X2,X3] :
( leq(n0,sK28)
| sP8
| ~ leq(n0,pv5)
| ~ leq(pv63,n5)
| sP1
| ~ leq(n0,pv64)
| sP7
| ~ leq(pv5,n998)
| pv64 = X2
| pv63 != X3
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| init = a_select3(id_ds1_filter_init,X3,X2)
| ~ leq(X2,n5)
| ~ leq(X3,n5)
| ~ leq(X2,pv64)
| pv63 = pv64
| sP6
| sP5
| ~ leq(n0,pv63)
| sP4
| sP3
| sP2
| sP0
| ~ leq(pv64,n5) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
( ( leq(n0,sK27)
& leq(n0,sK28)
& init != a_select3(dv_ds1_filter_init,sK28,sK27)
& leq(sK28,n5)
& leq(sK27,n0) )
| sP8
| ~ leq(n0,pv5)
| ~ leq(pv63,n5)
| sP1
| ~ leq(n0,pv64)
| sP7
| ~ leq(pv5,n998)
| ! [X2,X3] :
( pv64 = X2
| pv63 != X3
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| init = a_select3(id_ds1_filter_init,X3,X2)
| ~ leq(X2,n5)
| ~ leq(X3,n5)
| ~ leq(X2,pv64) )
| pv63 = pv64
| sP6
| sP5
| ~ leq(n0,pv63)
| sP4
| sP3
| sP2
| sP0
| ~ leq(pv64,n5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27,sK28])],[f58,f59]) ).
fof(f59,plain,
( ? [X0,X1] :
( leq(n0,X0)
& leq(n0,X1)
& init != a_select3(dv_ds1_filter_init,X1,X0)
& leq(X1,n5)
& leq(X0,n0) )
=> ( leq(n0,sK27)
& leq(n0,sK28)
& init != a_select3(dv_ds1_filter_init,sK28,sK27)
& leq(sK28,n5)
& leq(sK27,n0) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
( ? [X0,X1] :
( leq(n0,X0)
& leq(n0,X1)
& init != a_select3(dv_ds1_filter_init,X1,X0)
& leq(X1,n5)
& leq(X0,n0) )
| sP8
| ~ leq(n0,pv5)
| ~ leq(pv63,n5)
| sP1
| ~ leq(n0,pv64)
| sP7
| ~ leq(pv5,n998)
| ! [X2,X3] :
( pv64 = X2
| pv63 != X3
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| init = a_select3(id_ds1_filter_init,X3,X2)
| ~ leq(X2,n5)
| ~ leq(X3,n5)
| ~ leq(X2,pv64) )
| pv63 = pv64
| sP6
| sP5
| ~ leq(n0,pv63)
| sP4
| sP3
| sP2
| sP0
| ~ leq(pv64,n5) ),
inference(rectify,[],[f20]) ).
fof(f20,plain,
( ? [X7,X6] :
( leq(n0,X7)
& leq(n0,X6)
& init != a_select3(dv_ds1_filter_init,X6,X7)
& leq(X6,n5)
& leq(X7,n0) )
| sP8
| ~ leq(n0,pv5)
| ~ leq(pv63,n5)
| sP1
| ~ leq(n0,pv64)
| sP7
| ~ leq(pv5,n998)
| ! [X20,X21] :
( pv64 = X20
| pv63 != X21
| ~ leq(n0,X21)
| ~ leq(n0,X20)
| init = a_select3(id_ds1_filter_init,X21,X20)
| ~ leq(X20,n5)
| ~ leq(X21,n5)
| ~ leq(X20,pv64) )
| pv63 = pv64
| sP6
| sP5
| ~ leq(n0,pv63)
| sP4
| sP3
| sP2
| sP0
| ~ leq(pv64,n5) ),
inference(definition_folding,[],[f8,f19,f18,f17,f16,f15,f14,f13,f12,f11]) ).
fof(f8,plain,
( ? [X7,X6] :
( leq(n0,X7)
& leq(n0,X6)
& init != a_select3(dv_ds1_filter_init,X6,X7)
& leq(X6,n5)
& leq(X7,n0) )
| ? [X14] :
( ? [X15] :
( leq(X15,n5)
& init != a_select3(id_ds1_filter_init,X14,X15)
& leq(n0,X15) )
& leq(n0,X14)
& leq(X14,pred(pv63)) )
| ~ leq(n0,pv5)
| ~ leq(pv63,n5)
| ? [X19,X18] :
( leq(X19,n5)
& gt(pv63,X19)
& leq(n0,X18)
& leq(X18,n5)
& leq(n0,X19)
& init != a_select3(id_ds1_filter_init,X19,X18) )
| ~ leq(n0,pv64)
| ? [X3,X2] :
( leq(X2,n2)
& init != a_select3(r_ds1_filter_init,X2,X3)
& leq(X3,n2)
& leq(n0,X2)
& leq(n0,X3) )
| ~ leq(pv5,n998)
| ! [X20,X21] :
( pv64 = X20
| pv63 != X21
| ~ leq(n0,X21)
| ~ leq(n0,X20)
| init = a_select3(id_ds1_filter_init,X21,X20)
| ~ leq(X20,n5)
| ~ leq(X21,n5)
| ~ leq(X20,pv64) )
| pv63 = pv64
| ? [X9,X8] :
( init != a_select3(phi_ds1_filter_init,X9,X8)
& leq(n0,X9)
& leq(n0,X8)
& leq(X8,n5)
& leq(X9,n5) )
| ? [X4,X5] :
( leq(X5,n0)
& leq(X4,n5)
& leq(n0,X5)
& leq(n0,X4)
& init != a_select3(xhatmin_ds1_filter_init,X4,X5) )
| ~ leq(n0,pv63)
| ? [X10,X11] :
( leq(n0,X11)
& leq(n0,X10)
& init != a_select3(h_ds1_filter_init,X10,X11)
& leq(X11,n5)
& leq(X10,n2) )
| ? [X13,X12] :
( leq(X12,n5)
& leq(n0,X13)
& leq(X13,n5)
& init != a_select3(pminus_ds1_filter_init,X12,X13)
& leq(n0,X12) )
| ? [X1,X0] :
( leq(n0,X0)
& leq(X0,n5)
& init != a_select3(q_ds1_filter_init,X1,X0)
& leq(X1,n5)
& leq(n0,X1) )
| ? [X17,X16] :
( pv63 = X17
& gt(pv64,X16)
& leq(n0,X16)
& init != a_select3(id_ds1_filter_init,X17,X16)
& leq(n0,X17)
& leq(X17,n5)
& leq(X16,n5) )
| ~ leq(pv64,n5) ),
inference(flattening,[],[f7]) ).
fof(f7,plain,
( ! [X21,X20] :
( init = a_select3(id_ds1_filter_init,X21,X20)
| pv64 = X20
| pv63 != X21
| ~ leq(X20,pv64)
| ~ leq(n0,X20)
| ~ leq(X21,n5)
| ~ leq(n0,X21)
| ~ leq(X20,n5) )
| ~ leq(n0,pv5)
| ? [X14] :
( ? [X15] :
( init != a_select3(id_ds1_filter_init,X14,X15)
& leq(X15,n5)
& leq(n0,X15) )
& leq(n0,X14)
& leq(X14,pred(pv63)) )
| ~ leq(pv64,n5)
| ~ leq(pv63,n5)
| ? [X6,X7] :
( init != a_select3(dv_ds1_filter_init,X6,X7)
& leq(n0,X6)
& leq(n0,X7)
& leq(X7,n0)
& leq(X6,n5) )
| ? [X2,X3] :
( init != a_select3(r_ds1_filter_init,X2,X3)
& leq(n0,X3)
& leq(X3,n2)
& leq(n0,X2)
& leq(X2,n2) )
| ? [X19,X18] :
( init != a_select3(id_ds1_filter_init,X19,X18)
& gt(pv63,X19)
& leq(n0,X19)
& leq(X19,n5)
& leq(X18,n5)
& leq(n0,X18) )
| ? [X10,X11] :
( init != a_select3(h_ds1_filter_init,X10,X11)
& leq(X10,n2)
& leq(n0,X11)
& leq(X11,n5)
& leq(n0,X10) )
| ~ leq(n0,pv64)
| ? [X12,X13] :
( init != a_select3(pminus_ds1_filter_init,X12,X13)
& leq(X12,n5)
& leq(X13,n5)
& leq(n0,X13)
& leq(n0,X12) )
| pv63 = pv64
| ? [X16,X17] :
( init != a_select3(id_ds1_filter_init,X17,X16)
& gt(pv64,X16)
& pv63 = X17
& leq(X17,n5)
& leq(n0,X17)
& leq(X16,n5)
& leq(n0,X16) )
| ? [X5,X4] :
( init != a_select3(xhatmin_ds1_filter_init,X4,X5)
& leq(n0,X4)
& leq(n0,X5)
& leq(X4,n5)
& leq(X5,n0) )
| ~ leq(n0,pv63)
| ~ leq(pv5,n998)
| ? [X9,X8] :
( init != a_select3(phi_ds1_filter_init,X9,X8)
& leq(n0,X8)
& leq(X8,n5)
& leq(X9,n5)
& leq(n0,X9) )
| ? [X0,X1] :
( init != a_select3(q_ds1_filter_init,X1,X0)
& leq(X0,n5)
& leq(n0,X1)
& leq(X1,n5)
& leq(n0,X0) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,plain,
( ( leq(n0,pv5)
& ! [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(pv64,n5)
& leq(pv63,n5)
& ! [X6,X7] :
( ( leq(n0,X6)
& leq(n0,X7)
& leq(X7,n0)
& leq(X6,n5) )
=> init = a_select3(dv_ds1_filter_init,X6,X7) )
& ! [X2,X3] :
( ( leq(n0,X3)
& leq(X3,n2)
& leq(n0,X2)
& leq(X2,n2) )
=> init = a_select3(r_ds1_filter_init,X2,X3) )
& ! [X19,X18] :
( ( leq(n0,X19)
& leq(X19,n5)
& leq(X18,n5)
& leq(n0,X18) )
=> ( gt(pv63,X19)
=> init = a_select3(id_ds1_filter_init,X19,X18) ) )
& ! [X10,X11] :
( ( leq(X10,n2)
& leq(n0,X11)
& leq(X11,n5)
& leq(n0,X10) )
=> init = a_select3(h_ds1_filter_init,X10,X11) )
& leq(n0,pv64)
& ! [X12,X13] :
( ( leq(X12,n5)
& leq(X13,n5)
& leq(n0,X13)
& leq(n0,X12) )
=> init = a_select3(pminus_ds1_filter_init,X12,X13) )
& pv63 != pv64
& ! [X16,X17] :
( ( leq(X17,n5)
& leq(n0,X17)
& leq(X16,n5)
& leq(n0,X16) )
=> ( ( gt(pv64,X16)
& pv63 = X17 )
=> init = a_select3(id_ds1_filter_init,X17,X16) ) )
& ! [X5,X4] :
( ( leq(n0,X4)
& leq(n0,X5)
& leq(X4,n5)
& leq(X5,n0) )
=> init = a_select3(xhatmin_ds1_filter_init,X4,X5) )
& leq(n0,pv63)
& leq(pv5,n998)
& ! [X9,X8] :
( ( leq(n0,X8)
& leq(X8,n5)
& leq(X9,n5)
& leq(n0,X9) )
=> init = a_select3(phi_ds1_filter_init,X9,X8) )
& ! [X0,X1] :
( ( leq(X0,n5)
& leq(n0,X1)
& leq(X1,n5)
& leq(n0,X0) )
=> init = a_select3(q_ds1_filter_init,X1,X0) ) )
=> ! [X21,X20] :
( ( leq(n0,X20)
& leq(X21,n5)
& leq(n0,X21)
& leq(X20,n5) )
=> ( ( pv64 != X20
& pv63 = X21
& leq(X20,pv64) )
=> init = a_select3(id_ds1_filter_init,X21,X20) ) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
( ( ! [X7,X6] :
( ( leq(X7,n5)
& leq(X6,n5)
& leq(n0,X7)
& leq(n0,X6) )
=> init = a_select3(q_ds1_filter_init,X6,X7) )
& ! [X8,X9] :
( ( leq(n0,X9)
& leq(X8,n2)
& leq(n0,X8)
& leq(X9,n2) )
=> init = a_select3(r_ds1_filter_init,X8,X9) )
& leq(n0,pv63)
& leq(n0,pv5)
& ! [X10,X11] :
( ( leq(n0,X11)
& leq(X10,n5)
& leq(n0,X10)
& leq(X11,n0) )
=> init = a_select3(xhatmin_ds1_filter_init,X10,X11) )
& leq(pv63,n5)
& ! [X4,X5] :
( ( leq(X5,n0)
& leq(X4,n5)
& leq(n0,X5)
& leq(n0,X4) )
=> init = a_select3(dv_ds1_filter_init,X4,X5) )
& leq(pv64,n5)
& ! [X3,X2] :
( ( leq(X2,n5)
& leq(X3,n5)
& leq(n0,X2)
& leq(n0,X3) )
=> init = a_select3(phi_ds1_filter_init,X2,X3) )
& leq(n0,pv64)
& ! [X0,X1] :
( ( leq(X1,n5)
& leq(n0,X1)
& leq(X0,n2)
& leq(n0,X0) )
=> a_select3(h_ds1_filter_init,X0,X1) = init )
& ! [X12,X13] :
( ( leq(X12,n5)
& leq(X13,n5)
& leq(n0,X13)
& leq(n0,X12) )
=> init = a_select3(pminus_ds1_filter_init,X12,X13) )
& ! [X18] :
( ( leq(n0,X18)
& leq(X18,pred(pv63)) )
=> ! [X19] :
( ( leq(n0,X19)
& leq(X19,n5) )
=> init = a_select3(id_ds1_filter_init,X18,X19) ) )
& pv63 != pv64
& ! [X15,X14] :
( ( leq(X15,n5)
& leq(n0,X14)
& leq(n0,X15)
& leq(X14,n5) )
=> ( ( pv63 = X14
& gt(pv64,X15) )
=> init = a_select3(id_ds1_filter_init,X14,X15) ) )
& leq(pv5,n998)
& ! [X17,X16] :
( ( leq(n0,X16)
& leq(n0,X17)
& leq(X16,n5)
& leq(X17,n5) )
=> ( gt(pv63,X16)
=> init = a_select3(id_ds1_filter_init,X16,X17) ) ) )
=> ! [X21,X20] :
( ( leq(n0,X20)
& leq(n0,X21)
& leq(X20,n5)
& leq(X21,n5) )
=> ( ( pv63 = X20
& pv64 != X21
& leq(X21,pv64) )
=> init = a_select3(id_ds1_filter_init,X20,X21) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n1) ).
fof(f344,plain,
( ~ spl31_13
| spl31_36 ),
inference(avatar_split_clause,[],[f93,f341,f222]) ).
fof(f93,plain,
( leq(sK20,n5)
| ~ sP3 ),
inference(cnf_transformation,[],[f45]) ).
fof(f339,plain,
( spl31_35
| ~ spl31_16 ),
inference(avatar_split_clause,[],[f82,f238,f336]) ).
fof(f82,plain,
( ~ sP5
| leq(sK15,n5) ),
inference(cnf_transformation,[],[f37]) ).
fof(f334,plain,
( ~ spl31_34
| ~ spl31_4 ),
inference(avatar_split_clause,[],[f78,f181,f331]) ).
fof(f78,plain,
( ~ sP6
| init != a_select3(phi_ds1_filter_init,sK13,sK14) ),
inference(cnf_transformation,[],[f33]) ).
fof(f329,plain,
( ~ spl31_10
| ~ spl31_33 ),
inference(avatar_split_clause,[],[f72,f326,f208]) ).
fof(f72,plain,
( init != a_select3(r_ds1_filter_init,sK12,sK11)
| ~ sP7 ),
inference(cnf_transformation,[],[f29]) ).
fof(f324,plain,
( ~ spl31_16
| spl31_32 ),
inference(avatar_split_clause,[],[f80,f321,f238]) ).
fof(f80,plain,
( leq(n0,sK15)
| ~ sP5 ),
inference(cnf_transformation,[],[f37]) ).
fof(f319,plain,
( ~ spl31_2
| spl31_31 ),
inference(avatar_split_clause,[],[f104,f316,f172]) ).
fof(f104,plain,
( leq(sK23,n5)
| ~ sP1 ),
inference(cnf_transformation,[],[f53]) ).
fof(f314,plain,
( ~ spl31_4
| spl31_30 ),
inference(avatar_split_clause,[],[f77,f311,f181]) ).
fof(f77,plain,
( leq(n0,sK13)
| ~ sP6 ),
inference(cnf_transformation,[],[f33]) ).
fof(f309,plain,
( spl31_29
| ~ spl31_22
| spl31_6
| spl31_11
| spl31_18
| spl31_15
| spl31_4
| spl31_7
| spl31_13
| ~ spl31_21
| spl31_10
| spl31_16
| ~ spl31_17
| spl31_2
| spl31_19 ),
inference(avatar_split_clause,[],[f304,f250,f172,f242,f238,f208,f257,f222,f195,f181,f234,f246,f213,f190,f261,f306]) ).
fof(f304,plain,
! [X2] :
( ~ leq(n0,X2)
| sP1
| ~ leq(pv64,n5)
| sP5
| sP7
| ~ leq(pv5,n998)
| sP3
| sP4
| ~ leq(X2,pv64)
| sP6
| sP8
| init = a_select3(id_ds1_filter_init,sK30,X2)
| pv64 = sK30
| sP2
| sP0
| ~ leq(n0,pv64)
| leq(sK27,n0)
| ~ leq(X2,n5)
| pv64 = X2 ),
inference(subsumption_resolution,[],[f303,f123]) ).
fof(f303,plain,
! [X2] :
( ~ leq(n0,pv5)
| pv64 = sK30
| sP1
| sP8
| ~ leq(X2,n5)
| sP2
| ~ leq(pv64,n5)
| ~ leq(n0,pv64)
| sP0
| ~ leq(n0,X2)
| sP6
| sP7
| ~ leq(pv5,n998)
| leq(sK27,n0)
| pv64 = X2
| init = a_select3(id_ds1_filter_init,sK30,X2)
| ~ leq(X2,pv64)
| sP4
| sP3
| sP5 ),
inference(subsumption_resolution,[],[f302,f150]) ).
fof(f302,plain,
! [X2] :
( ~ leq(n0,sK30)
| ~ leq(n0,pv5)
| leq(sK27,n0)
| ~ leq(pv64,n5)
| sP0
| sP7
| ~ leq(n0,pv64)
| pv64 = sK30
| sP4
| ~ leq(n0,X2)
| init = a_select3(id_ds1_filter_init,sK30,X2)
| sP6
| ~ leq(pv5,n998)
| sP8
| ~ leq(X2,n5)
| sP5
| sP1
| ~ leq(X2,pv64)
| pv64 = X2
| sP2
| sP3 ),
inference(subsumption_resolution,[],[f163,f137]) ).
fof(f163,plain,
! [X2] :
( sP6
| ~ leq(sK30,n5)
| ~ leq(pv64,n5)
| sP4
| ~ leq(pv5,n998)
| sP1
| sP5
| ~ leq(n0,pv5)
| ~ leq(X2,n5)
| sP2
| sP8
| sP3
| sP7
| ~ leq(X2,pv64)
| pv64 = X2
| ~ leq(n0,pv64)
| ~ leq(n0,sK30)
| sP0
| ~ leq(n0,X2)
| leq(sK27,n0)
| pv64 = sK30
| init = a_select3(id_ds1_filter_init,sK30,X2) ),
inference(duplicate_literal_removal,[],[f160]) ).
fof(f160,plain,
! [X2] :
( ~ leq(n0,X2)
| ~ leq(n0,pv5)
| ~ leq(X2,pv64)
| ~ leq(n0,sK30)
| ~ leq(sK30,n5)
| sP2
| sP0
| ~ leq(sK30,n5)
| ~ leq(n0,sK30)
| init = a_select3(id_ds1_filter_init,sK30,X2)
| pv64 = X2
| ~ leq(n0,pv64)
| pv64 = sK30
| sP5
| ~ leq(X2,n5)
| sP7
| sP6
| sP4
| sP8
| ~ leq(pv64,n5)
| sP3
| ~ leq(pv5,n998)
| sP1
| leq(sK27,n0) ),
inference(equality_resolution,[],[f149]) ).
fof(f149,plain,
! [X2,X3] :
( leq(sK27,n0)
| sP8
| ~ leq(n0,pv5)
| ~ leq(sK30,n5)
| sP1
| ~ leq(n0,pv64)
| sP7
| ~ leq(pv5,n998)
| pv64 = X2
| sK30 != X3
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| init = a_select3(id_ds1_filter_init,X3,X2)
| ~ leq(X2,n5)
| ~ leq(X3,n5)
| ~ leq(X2,pv64)
| pv64 = sK30
| sP6
| sP5
| ~ leq(n0,sK30)
| sP4
| sP3
| sP2
| sP0
| ~ leq(pv64,n5) ),
inference(definition_unfolding,[],[f112,f138,f138,f138,f138]) ).
fof(f112,plain,
! [X2,X3] :
( leq(sK27,n0)
| sP8
| ~ leq(n0,pv5)
| ~ leq(pv63,n5)
| sP1
| ~ leq(n0,pv64)
| sP7
| ~ leq(pv5,n998)
| pv64 = X2
| pv63 != X3
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| init = a_select3(id_ds1_filter_init,X3,X2)
| ~ leq(X2,n5)
| ~ leq(X3,n5)
| ~ leq(X2,pv64)
| pv63 = pv64
| sP6
| sP5
| ~ leq(n0,pv63)
| sP4
| sP3
| sP2
| sP0
| ~ leq(pv64,n5) ),
inference(cnf_transformation,[],[f60]) ).
fof(f301,plain,
( spl31_6
| spl31_7
| spl31_28
| ~ spl31_21
| spl31_4
| ~ spl31_17
| spl31_11
| spl31_15
| spl31_16
| spl31_18
| spl31_13
| ~ spl31_22
| spl31_10
| spl31_2
| spl31_19 ),
inference(avatar_split_clause,[],[f296,f250,f172,f208,f261,f222,f246,f238,f234,f213,f242,f181,f257,f298,f195,f190]) ).
fof(f296,plain,
! [X2] :
( ~ leq(n0,X2)
| sP1
| sP7
| ~ leq(n0,pv64)
| sP3
| pv64 = sK30
| sP5
| sP8
| sP2
| ~ leq(X2,n5)
| init = a_select3(id_ds1_filter_init,sK30,X2)
| ~ leq(pv64,n5)
| sP6
| ~ leq(pv5,n998)
| ~ leq(X2,pv64)
| leq(n0,sK27)
| sP4
| sP0
| pv64 = X2 ),
inference(subsumption_resolution,[],[f295,f123]) ).
fof(f295,plain,
! [X2] :
( ~ leq(n0,pv5)
| ~ leq(pv64,n5)
| init = a_select3(id_ds1_filter_init,sK30,X2)
| sP8
| ~ leq(X2,pv64)
| sP1
| pv64 = sK30
| ~ leq(n0,pv64)
| sP2
| sP5
| ~ leq(n0,X2)
| sP6
| leq(n0,sK27)
| sP3
| ~ leq(X2,n5)
| pv64 = X2
| ~ leq(pv5,n998)
| sP4
| sP0
| sP7 ),
inference(subsumption_resolution,[],[f294,f137]) ).
fof(f294,plain,
! [X2] :
( ~ leq(pv5,n998)
| ~ leq(n0,pv64)
| ~ leq(pv64,n5)
| sP0
| ~ leq(sK30,n5)
| ~ leq(n0,pv5)
| pv64 = X2
| ~ leq(n0,X2)
| sP5
| ~ leq(X2,pv64)
| sP6
| leq(n0,sK27)
| sP7
| sP2
| sP4
| init = a_select3(id_ds1_filter_init,sK30,X2)
| sP8
| pv64 = sK30
| ~ leq(X2,n5)
| sP1
| sP3 ),
inference(subsumption_resolution,[],[f164,f150]) ).
fof(f164,plain,
! [X2] :
( ~ leq(pv64,n5)
| ~ leq(X2,pv64)
| ~ leq(pv5,n998)
| init = a_select3(id_ds1_filter_init,sK30,X2)
| sP5
| leq(n0,sK27)
| pv64 = X2
| ~ leq(n0,pv64)
| ~ leq(n0,sK30)
| ~ leq(n0,X2)
| sP6
| sP3
| pv64 = sK30
| sP4
| sP8
| ~ leq(n0,pv5)
| ~ leq(X2,n5)
| sP1
| sP7
| ~ leq(sK30,n5)
| sP0
| sP2 ),
inference(duplicate_literal_removal,[],[f156]) ).
fof(f156,plain,
! [X2] :
( ~ leq(n0,X2)
| sP0
| ~ leq(X2,n5)
| ~ leq(pv64,n5)
| pv64 = X2
| ~ leq(X2,pv64)
| ~ leq(sK30,n5)
| ~ leq(pv5,n998)
| sP8
| sP2
| sP6
| init = a_select3(id_ds1_filter_init,sK30,X2)
| sP1
| sP4
| sP7
| sP3
| sP5
| ~ leq(sK30,n5)
| ~ leq(n0,pv5)
| ~ leq(n0,sK30)
| pv64 = sK30
| ~ leq(n0,pv64)
| leq(n0,sK27)
| ~ leq(n0,sK30) ),
inference(equality_resolution,[],[f145]) ).
fof(f145,plain,
! [X2,X3] :
( leq(n0,sK27)
| sP8
| ~ leq(n0,pv5)
| ~ leq(sK30,n5)
| sP1
| ~ leq(n0,pv64)
| sP7
| ~ leq(pv5,n998)
| pv64 = X2
| sK30 != X3
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| init = a_select3(id_ds1_filter_init,X3,X2)
| ~ leq(X2,n5)
| ~ leq(X3,n5)
| ~ leq(X2,pv64)
| pv64 = sK30
| sP6
| sP5
| ~ leq(n0,sK30)
| sP4
| sP3
| sP2
| sP0
| ~ leq(pv64,n5) ),
inference(definition_unfolding,[],[f116,f138,f138,f138,f138]) ).
fof(f116,plain,
! [X2,X3] :
( leq(n0,sK27)
| sP8
| ~ leq(n0,pv5)
| ~ leq(pv63,n5)
| sP1
| ~ leq(n0,pv64)
| sP7
| ~ leq(pv5,n998)
| pv64 = X2
| pv63 != X3
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| init = a_select3(id_ds1_filter_init,X3,X2)
| ~ leq(X2,n5)
| ~ leq(X3,n5)
| ~ leq(X2,pv64)
| pv63 = pv64
| sP6
| sP5
| ~ leq(n0,pv63)
| sP4
| sP3
| sP2
| sP0
| ~ leq(pv64,n5) ),
inference(cnf_transformation,[],[f60]) ).
fof(f293,plain,
( spl31_27
| ~ spl31_11 ),
inference(avatar_split_clause,[],[f97,f213,f290]) ).
fof(f97,plain,
( ~ sP2
| leq(sK22,n5) ),
inference(cnf_transformation,[],[f49]) ).
fof(f288,plain,
( ~ spl31_6
| spl31_26 ),
inference(avatar_split_clause,[],[f110,f285,f190]) ).
fof(f110,plain,
( gt(pv64,sK26)
| ~ sP0 ),
inference(cnf_transformation,[],[f57]) ).
fof(f283,plain,
( spl31_25
| ~ spl31_15 ),
inference(avatar_split_clause,[],[f66,f234,f280]) ).
fof(f66,plain,
( ~ sP8
| leq(n0,sK10) ),
inference(cnf_transformation,[],[f25]) ).
fof(f278,plain,
( spl31_24
| ~ spl31_2 ),
inference(avatar_split_clause,[],[f101,f172,f275]) ).
fof(f101,plain,
( ~ sP1
| leq(sK24,n5) ),
inference(cnf_transformation,[],[f53]) ).
fof(f273,plain,
~ spl31_18,
inference(avatar_split_clause,[],[f153,f246]) ).
fof(f153,plain,
pv64 != sK30,
inference(definition_unfolding,[],[f125,f138]) ).
fof(f125,plain,
pv63 != pv64,
inference(cnf_transformation,[],[f63]) ).
fof(f272,plain,
( spl31_18
| spl31_7
| spl31_15
| spl31_11
| spl31_4
| ~ spl31_23
| spl31_2
| spl31_10
| spl31_16
| spl31_13
| ~ spl31_22
| ~ spl31_17
| ~ spl31_21
| spl31_6
| spl31_19 ),
inference(avatar_split_clause,[],[f267,f250,f190,f257,f242,f261,f222,f238,f208,f172,f269,f181,f213,f234,f195,f246]) ).
fof(f267,plain,
! [X2] :
( ~ leq(n0,X2)
| sP0
| ~ leq(pv5,n998)
| ~ leq(pv64,n5)
| ~ leq(n0,pv64)
| sP3
| sP5
| sP7
| sP1
| init != a_select3(dv_ds1_filter_init,sK28,sK27)
| sP6
| ~ leq(X2,n5)
| pv64 = X2
| sP2
| sP8
| init = a_select3(id_ds1_filter_init,sK30,X2)
| sP4
| ~ leq(X2,pv64)
| pv64 = sK30 ),
inference(subsumption_resolution,[],[f266,f150]) ).
fof(f266,plain,
! [X2] :
( sP3
| sP0
| ~ leq(n0,sK30)
| ~ leq(X2,pv64)
| pv64 = sK30
| sP2
| sP4
| sP6
| ~ leq(n0,X2)
| sP5
| pv64 = X2
| sP8
| ~ leq(n0,pv64)
| sP7
| sP1
| ~ leq(pv5,n998)
| init = a_select3(id_ds1_filter_init,sK30,X2)
| ~ leq(pv64,n5)
| ~ leq(X2,n5)
| init != a_select3(dv_ds1_filter_init,sK28,sK27) ),
inference(subsumption_resolution,[],[f265,f137]) ).
fof(f265,plain,
! [X2] :
( init != a_select3(dv_ds1_filter_init,sK28,sK27)
| sP1
| ~ leq(sK30,n5)
| sP0
| sP3
| ~ leq(n0,sK30)
| sP8
| ~ leq(pv5,n998)
| ~ leq(pv64,n5)
| sP7
| pv64 = X2
| sP5
| pv64 = sK30
| ~ leq(n0,pv64)
| sP2
| ~ leq(X2,pv64)
| ~ leq(X2,n5)
| sP6
| init = a_select3(id_ds1_filter_init,sK30,X2)
| ~ leq(n0,X2)
| sP4 ),
inference(subsumption_resolution,[],[f165,f123]) ).
fof(f165,plain,
! [X2] :
( init != a_select3(dv_ds1_filter_init,sK28,sK27)
| ~ leq(n0,X2)
| sP1
| ~ leq(n0,pv5)
| sP5
| ~ leq(n0,pv64)
| sP4
| sP8
| ~ leq(pv5,n998)
| ~ leq(n0,sK30)
| sP3
| ~ leq(pv64,n5)
| sP6
| init = a_select3(id_ds1_filter_init,sK30,X2)
| sP2
| sP0
| ~ leq(sK30,n5)
| pv64 = X2
| ~ leq(X2,pv64)
| ~ leq(X2,n5)
| sP7
| pv64 = sK30 ),
inference(duplicate_literal_removal,[],[f158]) ).
fof(f158,plain,
! [X2] :
( ~ leq(X2,pv64)
| sP5
| sP3
| ~ leq(n0,sK30)
| ~ leq(n0,sK30)
| ~ leq(n0,pv64)
| sP8
| ~ leq(pv5,n998)
| ~ leq(n0,pv5)
| pv64 = sK30
| sP2
| pv64 = X2
| ~ leq(sK30,n5)
| sP4
| sP6
| init = a_select3(id_ds1_filter_init,sK30,X2)
| ~ leq(X2,n5)
| ~ leq(n0,X2)
| sP1
| ~ leq(sK30,n5)
| sP0
| ~ leq(pv64,n5)
| sP7
| init != a_select3(dv_ds1_filter_init,sK28,sK27) ),
inference(equality_resolution,[],[f147]) ).
fof(f147,plain,
! [X2,X3] :
( init != a_select3(dv_ds1_filter_init,sK28,sK27)
| sP8
| ~ leq(n0,pv5)
| ~ leq(sK30,n5)
| sP1
| ~ leq(n0,pv64)
| sP7
| ~ leq(pv5,n998)
| pv64 = X2
| sK30 != X3
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| init = a_select3(id_ds1_filter_init,X3,X2)
| ~ leq(X2,n5)
| ~ leq(X3,n5)
| ~ leq(X2,pv64)
| pv64 = sK30
| sP6
| sP5
| ~ leq(n0,sK30)
| sP4
| sP3
| sP2
| sP0
| ~ leq(pv64,n5) ),
inference(definition_unfolding,[],[f114,f138,f138,f138,f138]) ).
fof(f114,plain,
! [X2,X3] :
( init != a_select3(dv_ds1_filter_init,sK28,sK27)
| sP8
| ~ leq(n0,pv5)
| ~ leq(pv63,n5)
| sP1
| ~ leq(n0,pv64)
| sP7
| ~ leq(pv5,n998)
| pv64 = X2
| pv63 != X3
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| init = a_select3(id_ds1_filter_init,X3,X2)
| ~ leq(X2,n5)
| ~ leq(X3,n5)
| ~ leq(X2,pv64)
| pv63 = pv64
| sP6
| sP5
| ~ leq(n0,pv63)
| sP4
| sP3
| sP2
| sP0
| ~ leq(pv64,n5) ),
inference(cnf_transformation,[],[f60]) ).
fof(f264,plain,
( spl31_6
| spl31_11
| spl31_10
| spl31_15
| spl31_16
| ~ spl31_17
| spl31_18
| spl31_19
| spl31_20
| spl31_7
| spl31_4
| spl31_13
| ~ spl31_21
| ~ spl31_22
| spl31_2 ),
inference(avatar_split_clause,[],[f232,f172,f261,f257,f222,f181,f195,f253,f250,f246,f242,f238,f234,f208,f213,f190]) ).
fof(f232,plain,
! [X2] :
( sP1
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| sP3
| sP6
| sP4
| leq(sK28,n5)
| ~ leq(X2,n5)
| init = a_select3(id_ds1_filter_init,sK30,X2)
| pv64 = sK30
| ~ leq(n0,X2)
| ~ leq(pv64,n5)
| sP5
| sP8
| sP7
| pv64 = X2
| sP2
| sP0
| ~ leq(X2,pv64) ),
inference(subsumption_resolution,[],[f231,f123]) ).
fof(f231,plain,
! [X2] :
( ~ leq(X2,pv64)
| ~ leq(X2,n5)
| pv64 = sK30
| sP4
| sP6
| sP3
| init = a_select3(id_ds1_filter_init,sK30,X2)
| ~ leq(n0,pv5)
| sP1
| ~ leq(n0,X2)
| sP5
| ~ leq(pv64,n5)
| pv64 = X2
| sP0
| sP8
| leq(sK28,n5)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| sP7
| sP2 ),
inference(subsumption_resolution,[],[f230,f137]) ).
fof(f230,plain,
! [X2] :
( ~ leq(X2,pv64)
| pv64 = X2
| sP5
| sP7
| ~ leq(X2,n5)
| sP1
| sP3
| pv64 = sK30
| sP6
| leq(sK28,n5)
| sP2
| init = a_select3(id_ds1_filter_init,sK30,X2)
| ~ leq(pv64,n5)
| sP4
| ~ leq(n0,X2)
| sP0
| ~ leq(pv5,n998)
| ~ leq(sK30,n5)
| sP8
| ~ leq(n0,pv64)
| ~ leq(n0,pv5) ),
inference(subsumption_resolution,[],[f166,f150]) ).
fof(f166,plain,
! [X2] :
( ~ leq(n0,sK30)
| pv64 = sK30
| sP6
| sP3
| ~ leq(n0,pv5)
| sP7
| leq(sK28,n5)
| ~ leq(pv64,n5)
| ~ leq(n0,pv64)
| ~ leq(X2,n5)
| ~ leq(sK30,n5)
| sP2
| pv64 = X2
| sP5
| ~ leq(X2,pv64)
| init = a_select3(id_ds1_filter_init,sK30,X2)
| sP8
| ~ leq(pv5,n998)
| sP1
| sP0
| ~ leq(n0,X2)
| sP4 ),
inference(duplicate_literal_removal,[],[f159]) ).
fof(f159,plain,
! [X2] :
( sP1
| sP8
| sP4
| ~ leq(n0,sK30)
| ~ leq(pv64,n5)
| ~ leq(sK30,n5)
| pv64 = sK30
| ~ leq(n0,pv5)
| pv64 = X2
| sP0
| sP5
| init = a_select3(id_ds1_filter_init,sK30,X2)
| sP6
| ~ leq(n0,X2)
| ~ leq(pv5,n998)
| sP3
| ~ leq(sK30,n5)
| ~ leq(X2,n5)
| ~ leq(X2,pv64)
| sP2
| ~ leq(n0,pv64)
| sP7
| leq(sK28,n5)
| ~ leq(n0,sK30) ),
inference(equality_resolution,[],[f148]) ).
fof(f148,plain,
! [X2,X3] :
( leq(sK28,n5)
| sP8
| ~ leq(n0,pv5)
| ~ leq(sK30,n5)
| sP1
| ~ leq(n0,pv64)
| sP7
| ~ leq(pv5,n998)
| pv64 = X2
| sK30 != X3
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| init = a_select3(id_ds1_filter_init,X3,X2)
| ~ leq(X2,n5)
| ~ leq(X3,n5)
| ~ leq(X2,pv64)
| pv64 = sK30
| sP6
| sP5
| ~ leq(n0,sK30)
| sP4
| sP3
| sP2
| sP0
| ~ leq(pv64,n5) ),
inference(definition_unfolding,[],[f113,f138,f138,f138,f138]) ).
fof(f113,plain,
! [X2,X3] :
( leq(sK28,n5)
| sP8
| ~ leq(n0,pv5)
| ~ leq(pv63,n5)
| sP1
| ~ leq(n0,pv64)
| sP7
| ~ leq(pv5,n998)
| pv64 = X2
| pv63 != X3
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| init = a_select3(id_ds1_filter_init,X3,X2)
| ~ leq(X2,n5)
| ~ leq(X3,n5)
| ~ leq(X2,pv64)
| pv63 = pv64
| sP6
| sP5
| ~ leq(n0,pv63)
| sP4
| sP3
| sP2
| sP0
| ~ leq(pv64,n5) ),
inference(cnf_transformation,[],[f60]) ).
fof(f229,plain,
( ~ spl31_13
| spl31_14 ),
inference(avatar_split_clause,[],[f89,f226,f222]) ).
fof(f89,plain,
( leq(n0,sK20)
| ~ sP3 ),
inference(cnf_transformation,[],[f45]) ).
fof(f220,plain,
( ~ spl31_11
| ~ spl31_12 ),
inference(avatar_split_clause,[],[f96,f217,f213]) ).
fof(f96,plain,
( init != a_select3(q_ds1_filter_init,sK21,sK22)
| ~ sP2 ),
inference(cnf_transformation,[],[f49]) ).
fof(f211,plain,
( spl31_9
| ~ spl31_10 ),
inference(avatar_split_clause,[],[f73,f208,f204]) ).
fof(f73,plain,
( ~ sP7
| leq(sK12,n2) ),
inference(cnf_transformation,[],[f29]) ).
fof(f202,plain,
( ~ spl31_7
| spl31_8 ),
inference(avatar_split_clause,[],[f84,f199,f195]) ).
fof(f84,plain,
( leq(sK17,n2)
| ~ sP4 ),
inference(cnf_transformation,[],[f41]) ).
fof(f193,plain,
( ~ spl31_5
| ~ spl31_6 ),
inference(avatar_split_clause,[],[f108,f190,f186]) ).
fof(f108,plain,
( ~ sP0
| init != a_select3(id_ds1_filter_init,sK25,sK26) ),
inference(cnf_transformation,[],[f57]) ).
fof(f184,plain,
( spl31_3
| ~ spl31_4 ),
inference(avatar_split_clause,[],[f74,f181,f177]) ).
fof(f74,plain,
( ~ sP6
| leq(sK13,n5) ),
inference(cnf_transformation,[],[f33]) ).
fof(f175,plain,
( ~ spl31_1
| ~ spl31_2 ),
inference(avatar_split_clause,[],[f99,f172,f168]) ).
fof(f99,plain,
( ~ sP1
| init != a_select3(id_ds1_filter_init,sK23,sK24) ),
inference(cnf_transformation,[],[f53]) ).
%------------------------------------------------------------------------------
%----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_sat --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 :
% 0.20/0.55 % (31478)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)
% 0.20/0.55 % (31487)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)
% 0.20/0.56 % (31479)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)
% 0.20/0.56 % (31470)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)
% 0.20/0.57 % (31477)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.57 % (31471)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.58 % (31493)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)
% 0.20/0.58 % (31471)Instruction limit reached!
% 0.20/0.58 % (31471)------------------------------
% 0.20/0.58 % (31471)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (31471)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (31471)Termination reason: Unknown
% 0.20/0.58 % (31471)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (31471)Memory used [KB]: 5628
% 0.20/0.58 % (31471)Time elapsed: 0.011 s
% 0.20/0.58 % (31471)Instructions burned: 7 (million)
% 0.20/0.58 % (31471)------------------------------
% 0.20/0.58 % (31471)------------------------------
% 0.20/0.59 % (31464)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)
% 0.20/0.59 % (31467)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)
% 0.20/0.59 % (31465)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)
% 0.20/0.59 TRYING [1]
% 0.20/0.60 % (31468)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.60 TRYING [2]
% 0.20/0.60 % (31469)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)
% 0.20/0.61 % (31488)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.61 % (31489)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.61 % (31491)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)
% 1.90/0.62 % (31466)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)
% 1.90/0.62 % (31484)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)
% 1.90/0.62 TRYING [3]
% 1.90/0.62 % (31480)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)
% 1.90/0.62 % (31483)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)
% 1.90/0.62 % (31481)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.90/0.62 % (31492)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.90/0.63 % (31472)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.90/0.63 % (31475)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)
% 1.90/0.63 % (31472)Instruction limit reached!
% 1.90/0.63 % (31472)------------------------------
% 1.90/0.63 % (31472)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.63 % (31472)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.63 % (31472)Termination reason: Unknown
% 1.90/0.63 % (31472)Termination phase: Preprocessing 3
% 1.90/0.63
% 1.90/0.63 % (31472)Memory used [KB]: 1023
% 1.90/0.63 % (31472)Time elapsed: 0.003 s
% 1.90/0.63 % (31472)Instructions burned: 3 (million)
% 1.90/0.63 % (31472)------------------------------
% 1.90/0.63 % (31472)------------------------------
% 1.90/0.63 % (31486)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)
% 1.90/0.63 % (31473)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)
% 2.21/0.64 % (31476)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 2.21/0.64 % (31470)Instruction limit reached!
% 2.21/0.64 % (31470)------------------------------
% 2.21/0.64 % (31470)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.64 % (31485)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 2.21/0.64 % (31490)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)
% 2.21/0.64 TRYING [1]
% 2.21/0.64 % (31470)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.64 % (31470)Termination reason: Unknown
% 2.21/0.64 % (31470)Termination phase: Finite model building SAT solving
% 2.21/0.64
% 2.21/0.64 % (31470)Memory used [KB]: 6652
% 2.21/0.64 % (31470)Time elapsed: 0.194 s
% 2.21/0.64 % (31470)Instructions burned: 51 (million)
% 2.21/0.64 % (31470)------------------------------
% 2.21/0.64 % (31470)------------------------------
% 2.21/0.64 % (31474)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.21/0.64 TRYING [2]
% 2.21/0.66 % (31482)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.21/0.66 % (31478)Instruction limit reached!
% 2.21/0.66 % (31478)------------------------------
% 2.21/0.66 % (31478)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.66 % (31478)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.66 % (31478)Termination reason: Unknown
% 2.21/0.66 % (31478)Termination phase: Saturation
% 2.21/0.66
% 2.21/0.66 % (31478)Memory used [KB]: 6396
% 2.21/0.66 % (31478)Time elapsed: 0.071 s
% 2.21/0.66 % (31478)Instructions burned: 68 (million)
% 2.21/0.66 % (31478)------------------------------
% 2.21/0.66 % (31478)------------------------------
% 2.43/0.67 % (31465)First to succeed.
% 2.43/0.67 TRYING [3]
% 2.43/0.68 TRYING [1]
% 2.43/0.68 TRYING [2]
% 2.43/0.69 % (31479)Instruction limit reached!
% 2.43/0.69 % (31479)------------------------------
% 2.43/0.69 % (31479)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.70 % (31465)Refutation found. Thanks to Tanya!
% 2.43/0.70 % SZS status Theorem for theBenchmark
% 2.43/0.70 % SZS output start Proof for theBenchmark
% See solution above
% 2.43/0.70 % (31465)------------------------------
% 2.43/0.70 % (31465)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.70 % (31465)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.70 % (31465)Termination reason: Refutation
% 2.43/0.70
% 2.43/0.70 % (31465)Memory used [KB]: 6140
% 2.43/0.70 % (31465)Time elapsed: 0.241 s
% 2.43/0.70 % (31465)Instructions burned: 25 (million)
% 2.43/0.70 % (31465)------------------------------
% 2.43/0.70 % (31465)------------------------------
% 2.43/0.70 % (31463)Success in time 0.348 s
%------------------------------------------------------------------------------