TSTP Solution File: MSC010+1 by Vampire-SAT---4.9
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : MSC010+1 : TPTP v8.2.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n025.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 : Mon Jun 24 12:00:06 EDT 2024
% Result : Theorem 1.90s 0.63s
% Output : Refutation 1.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 42
% Syntax : Number of formulae : 396 ( 27 unt; 0 def)
% Number of atoms : 3261 ( 370 equ)
% Maximal formula atoms : 68 ( 8 avg)
% Number of connectives : 4236 (1371 ~;2289 |; 440 &)
% ( 40 <=>; 96 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 53 ( 51 usr; 41 prp; 0-2 aty)
% Number of functors : 40 ( 40 usr; 37 con; 0-3 aty)
% Number of variables : 542 ( 498 !; 44 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5583,plain,
$false,
inference(avatar_sat_refutation,[],[f191,f192,f193,f257,f262,f267,f272,f277,f282,f283,f284,f285,f286,f291,f292,f293,f294,f295,f300,f301,f302,f303,f304,f309,f310,f311,f312,f313,f317,f318,f319,f320,f321,f322,f1297,f1403,f1404,f1983,f2376,f2720,f3038,f3134,f3367,f3462,f3468,f3469,f3839,f3841,f3972,f4090,f4280,f4620,f4870,f5005,f5137,f5372,f5582]) ).
fof(f5582,plain,
( ~ spl31_4
| ~ spl31_28 ),
inference(avatar_contradiction_clause,[],[f5580]) ).
fof(f5580,plain,
( $false
| ~ spl31_4
| ~ spl31_28 ),
inference(subsumption_resolution,[],[f650,f196]) ).
fof(f196,plain,
( ! [X21,X20] : ~ sP29(X21,X20)
| ~ spl31_4 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f195,plain,
( spl31_4
<=> ! [X20,X21] : ~ sP29(X21,X20) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_4])]) ).
fof(f650,plain,
( sP29(sK1,sK0)
| ~ spl31_28 ),
inference(subsumption_resolution,[],[f649,f15]) ).
fof(f15,plain,
leq(sK1,n5),
inference(cnf_transformation,[],[f8]) ).
fof(f8,plain,
( ? [X20,X21] :
( init != a_select3(id_ds1_filter_init,X20,X21)
& leq(X21,pv64)
& pv63 = X20
& pv64 != X21
& leq(X21,n5)
& leq(X20,n5)
& leq(n0,X21)
& leq(n0,X20) )
& ! [X0] :
( ! [X1] :
( init = a_select3(id_ds1_filter_init,X0,X1)
| ~ leq(X1,n5)
| ~ leq(n0,X1) )
| ~ leq(X0,pred(pv63))
| ~ leq(n0,X0) )
& ! [X2,X3] :
( init = a_select3(id_ds1_filter_init,X2,X3)
| ~ gt(pv63,X2)
| ~ leq(X3,n5)
| ~ leq(X2,n5)
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& ! [X4,X5] :
( init = a_select3(id_ds1_filter_init,X4,X5)
| ~ gt(pv64,X5)
| pv63 != X4
| ~ leq(X5,n5)
| ~ leq(X4,n5)
| ~ leq(n0,X5)
| ~ leq(n0,X4) )
& ! [X6,X7] :
( init = a_select3(pminus_ds1_filter_init,X6,X7)
| ~ leq(X7,n5)
| ~ leq(X6,n5)
| ~ leq(n0,X7)
| ~ leq(n0,X6) )
& ! [X8,X9] :
( init = a_select3(xhatmin_ds1_filter_init,X8,X9)
| ~ leq(X9,n0)
| ~ leq(X8,n5)
| ~ leq(n0,X9)
| ~ leq(n0,X8) )
& ! [X10,X11] :
( init = a_select3(r_ds1_filter_init,X10,X11)
| ~ leq(X11,n2)
| ~ leq(X10,n2)
| ~ leq(n0,X11)
| ~ leq(n0,X10) )
& ! [X12,X13] :
( init = a_select3(q_ds1_filter_init,X12,X13)
| ~ leq(X13,n5)
| ~ leq(X12,n5)
| ~ leq(n0,X13)
| ~ leq(n0,X12) )
& ! [X14,X15] :
( init = a_select3(dv_ds1_filter_init,X14,X15)
| ~ leq(X15,n0)
| ~ leq(X14,n5)
| ~ leq(n0,X15)
| ~ leq(n0,X14) )
& ! [X16,X17] :
( init = a_select3(phi_ds1_filter_init,X16,X17)
| ~ leq(X17,n5)
| ~ leq(X16,n5)
| ~ leq(n0,X17)
| ~ leq(n0,X16) )
& ! [X18,X19] :
( init = a_select3(h_ds1_filter_init,X18,X19)
| ~ leq(X19,n5)
| ~ leq(X18,n2)
| ~ leq(n0,X19)
| ~ leq(n0,X18) )
& leq(pv64,n5)
& leq(pv63,n5)
& leq(pv5,n998)
& leq(n0,pv64)
& leq(n0,pv63)
& leq(n0,pv5)
& pv63 != pv64 ),
inference(flattening,[],[f7]) ).
fof(f7,plain,
( ? [X20,X21] :
( init != a_select3(id_ds1_filter_init,X20,X21)
& leq(X21,pv64)
& pv63 = X20
& pv64 != X21
& leq(X21,n5)
& leq(X20,n5)
& leq(n0,X21)
& leq(n0,X20) )
& ! [X0] :
( ! [X1] :
( init = a_select3(id_ds1_filter_init,X0,X1)
| ~ leq(X1,n5)
| ~ leq(n0,X1) )
| ~ leq(X0,pred(pv63))
| ~ leq(n0,X0) )
& ! [X2,X3] :
( init = a_select3(id_ds1_filter_init,X2,X3)
| ~ gt(pv63,X2)
| ~ leq(X3,n5)
| ~ leq(X2,n5)
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& ! [X4,X5] :
( init = a_select3(id_ds1_filter_init,X4,X5)
| ~ gt(pv64,X5)
| pv63 != X4
| ~ leq(X5,n5)
| ~ leq(X4,n5)
| ~ leq(n0,X5)
| ~ leq(n0,X4) )
& ! [X6,X7] :
( init = a_select3(pminus_ds1_filter_init,X6,X7)
| ~ leq(X7,n5)
| ~ leq(X6,n5)
| ~ leq(n0,X7)
| ~ leq(n0,X6) )
& ! [X8,X9] :
( init = a_select3(xhatmin_ds1_filter_init,X8,X9)
| ~ leq(X9,n0)
| ~ leq(X8,n5)
| ~ leq(n0,X9)
| ~ leq(n0,X8) )
& ! [X10,X11] :
( init = a_select3(r_ds1_filter_init,X10,X11)
| ~ leq(X11,n2)
| ~ leq(X10,n2)
| ~ leq(n0,X11)
| ~ leq(n0,X10) )
& ! [X12,X13] :
( init = a_select3(q_ds1_filter_init,X12,X13)
| ~ leq(X13,n5)
| ~ leq(X12,n5)
| ~ leq(n0,X13)
| ~ leq(n0,X12) )
& ! [X14,X15] :
( init = a_select3(dv_ds1_filter_init,X14,X15)
| ~ leq(X15,n0)
| ~ leq(X14,n5)
| ~ leq(n0,X15)
| ~ leq(n0,X14) )
& ! [X16,X17] :
( init = a_select3(phi_ds1_filter_init,X16,X17)
| ~ leq(X17,n5)
| ~ leq(X16,n5)
| ~ leq(n0,X17)
| ~ leq(n0,X16) )
& ! [X18,X19] :
( init = a_select3(h_ds1_filter_init,X18,X19)
| ~ leq(X19,n5)
| ~ leq(X18,n2)
| ~ leq(n0,X19)
| ~ leq(n0,X18) )
& leq(pv64,n5)
& leq(pv63,n5)
& leq(pv5,n998)
& leq(n0,pv64)
& leq(n0,pv63)
& leq(n0,pv5)
& pv63 != pv64 ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,plain,
~ ( ( ! [X0] :
( ( leq(X0,pred(pv63))
& leq(n0,X0) )
=> ! [X1] :
( ( leq(X1,n5)
& leq(n0,X1) )
=> init = a_select3(id_ds1_filter_init,X0,X1) ) )
& ! [X2,X3] :
( ( leq(X3,n5)
& leq(X2,n5)
& leq(n0,X3)
& leq(n0,X2) )
=> ( gt(pv63,X2)
=> init = a_select3(id_ds1_filter_init,X2,X3) ) )
& ! [X4,X5] :
( ( leq(X5,n5)
& leq(X4,n5)
& leq(n0,X5)
& leq(n0,X4) )
=> ( ( gt(pv64,X5)
& pv63 = X4 )
=> init = a_select3(id_ds1_filter_init,X4,X5) ) )
& ! [X6,X7] :
( ( leq(X7,n5)
& leq(X6,n5)
& leq(n0,X7)
& leq(n0,X6) )
=> init = a_select3(pminus_ds1_filter_init,X6,X7) )
& ! [X8,X9] :
( ( leq(X9,n0)
& leq(X8,n5)
& leq(n0,X9)
& leq(n0,X8) )
=> init = a_select3(xhatmin_ds1_filter_init,X8,X9) )
& ! [X10,X11] :
( ( leq(X11,n2)
& leq(X10,n2)
& leq(n0,X11)
& leq(n0,X10) )
=> init = a_select3(r_ds1_filter_init,X10,X11) )
& ! [X12,X13] :
( ( leq(X13,n5)
& leq(X12,n5)
& leq(n0,X13)
& leq(n0,X12) )
=> init = a_select3(q_ds1_filter_init,X12,X13) )
& ! [X14,X15] :
( ( leq(X15,n0)
& leq(X14,n5)
& leq(n0,X15)
& leq(n0,X14) )
=> init = a_select3(dv_ds1_filter_init,X14,X15) )
& ! [X16,X17] :
( ( leq(X17,n5)
& leq(X16,n5)
& leq(n0,X17)
& leq(n0,X16) )
=> init = a_select3(phi_ds1_filter_init,X16,X17) )
& ! [X18,X19] :
( ( leq(X19,n5)
& leq(X18,n2)
& leq(n0,X19)
& leq(n0,X18) )
=> init = a_select3(h_ds1_filter_init,X18,X19) )
& leq(pv64,n5)
& leq(pv63,n5)
& leq(pv5,n998)
& leq(n0,pv64)
& leq(n0,pv63)
& leq(n0,pv5)
& pv63 != pv64 )
=> ! [X20,X21] :
( ( leq(X21,n5)
& leq(X20,n5)
& leq(n0,X21)
& leq(n0,X20) )
=> ( ( leq(X21,pv64)
& pv63 = X20
& pv64 != X21 )
=> init = a_select3(id_ds1_filter_init,X20,X21) ) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
~ ~ ~ ( ( ! [X0] :
( ( leq(X0,pred(pv63))
& leq(n0,X0) )
=> ! [X1] :
( ( leq(X1,n5)
& leq(n0,X1) )
=> init = a_select3(id_ds1_filter_init,X0,X1) ) )
& ! [X2,X3] :
( ( leq(X3,n5)
& leq(X2,n5)
& leq(n0,X3)
& leq(n0,X2) )
=> ( gt(pv63,X2)
=> init = a_select3(id_ds1_filter_init,X2,X3) ) )
& ! [X4,X5] :
( ( leq(X5,n5)
& leq(X4,n5)
& leq(n0,X5)
& leq(n0,X4) )
=> ( ( gt(pv64,X5)
& pv63 = X4 )
=> init = a_select3(id_ds1_filter_init,X4,X5) ) )
& ! [X6,X7] :
( ( leq(X7,n5)
& leq(X6,n5)
& leq(n0,X7)
& leq(n0,X6) )
=> init = a_select3(pminus_ds1_filter_init,X6,X7) )
& ! [X8,X9] :
( ( leq(X9,n0)
& leq(X8,n5)
& leq(n0,X9)
& leq(n0,X8) )
=> init = a_select3(xhatmin_ds1_filter_init,X8,X9) )
& ! [X10,X11] :
( ( leq(X11,n2)
& leq(X10,n2)
& leq(n0,X11)
& leq(n0,X10) )
=> init = a_select3(r_ds1_filter_init,X10,X11) )
& ! [X12,X13] :
( ( leq(X13,n5)
& leq(X12,n5)
& leq(n0,X13)
& leq(n0,X12) )
=> init = a_select3(q_ds1_filter_init,X12,X13) )
& ! [X14,X15] :
( ( leq(X15,n0)
& leq(X14,n5)
& leq(n0,X15)
& leq(n0,X14) )
=> init = a_select3(dv_ds1_filter_init,X14,X15) )
& ! [X16,X17] :
( ( leq(X17,n5)
& leq(X16,n5)
& leq(n0,X17)
& leq(n0,X16) )
=> init = a_select3(phi_ds1_filter_init,X16,X17) )
& ! [X18,X19] :
( ( leq(X19,n5)
& leq(X18,n2)
& leq(n0,X19)
& leq(n0,X18) )
=> init = a_select3(h_ds1_filter_init,X18,X19) )
& leq(pv64,n5)
& leq(pv63,n5)
& leq(pv5,n998)
& leq(n0,pv64)
& leq(n0,pv63)
& leq(n0,pv5)
& pv63 != pv64 )
=> ! [X20,X21] :
( ( leq(X21,n5)
& leq(X20,n5)
& leq(n0,X21)
& leq(n0,X20) )
=> ( ( leq(X21,pv64)
& pv63 = X20
& pv64 != X21 )
=> init = a_select3(id_ds1_filter_init,X20,X21) ) ) ),
inference(rectify,[],[f3]) ).
fof(f3,negated_conjecture,
~ ~ ~ ( ( ! [X18] :
( ( leq(X18,pred(pv63))
& leq(n0,X18) )
=> ! [X19] :
( ( leq(X19,n5)
& leq(n0,X19) )
=> init = a_select3(id_ds1_filter_init,X18,X19) ) )
& ! [X16,X17] :
( ( leq(X17,n5)
& leq(X16,n5)
& leq(n0,X17)
& leq(n0,X16) )
=> ( gt(pv63,X16)
=> init = a_select3(id_ds1_filter_init,X16,X17) ) )
& ! [X14,X15] :
( ( leq(X15,n5)
& leq(X14,n5)
& leq(n0,X15)
& leq(n0,X14) )
=> ( ( gt(pv64,X15)
& pv63 = X14 )
=> init = a_select3(id_ds1_filter_init,X14,X15) ) )
& ! [X12,X13] :
( ( leq(X13,n5)
& leq(X12,n5)
& leq(n0,X13)
& leq(n0,X12) )
=> init = a_select3(pminus_ds1_filter_init,X12,X13) )
& ! [X10,X11] :
( ( leq(X11,n0)
& leq(X10,n5)
& leq(n0,X11)
& leq(n0,X10) )
=> init = a_select3(xhatmin_ds1_filter_init,X10,X11) )
& ! [X8,X9] :
( ( leq(X9,n2)
& leq(X8,n2)
& leq(n0,X9)
& leq(n0,X8) )
=> init = a_select3(r_ds1_filter_init,X8,X9) )
& ! [X6,X7] :
( ( leq(X7,n5)
& leq(X6,n5)
& leq(n0,X7)
& leq(n0,X6) )
=> init = a_select3(q_ds1_filter_init,X6,X7) )
& ! [X4,X5] :
( ( leq(X5,n0)
& leq(X4,n5)
& leq(n0,X5)
& leq(n0,X4) )
=> init = a_select3(dv_ds1_filter_init,X4,X5) )
& ! [X2,X3] :
( ( leq(X3,n5)
& leq(X2,n5)
& leq(n0,X3)
& leq(n0,X2) )
=> init = a_select3(phi_ds1_filter_init,X2,X3) )
& ! [X0,X1] :
( ( leq(X1,n5)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> a_select3(h_ds1_filter_init,X0,X1) = init )
& leq(pv64,n5)
& leq(pv63,n5)
& leq(pv5,n998)
& leq(n0,pv64)
& leq(n0,pv63)
& leq(n0,pv5)
& pv63 != pv64 )
=> ! [X20,X21] :
( ( leq(X21,n5)
& leq(X20,n5)
& leq(n0,X21)
& leq(n0,X20) )
=> ( ( leq(X21,pv64)
& pv63 = X20
& pv64 != X21 )
=> init = a_select3(id_ds1_filter_init,X20,X21) ) ) ),
inference(negated_conjecture,[],[f2]) ).
fof(f2,conjecture,
~ ~ ( ( ! [X18] :
( ( leq(X18,pred(pv63))
& leq(n0,X18) )
=> ! [X19] :
( ( leq(X19,n5)
& leq(n0,X19) )
=> init = a_select3(id_ds1_filter_init,X18,X19) ) )
& ! [X16,X17] :
( ( leq(X17,n5)
& leq(X16,n5)
& leq(n0,X17)
& leq(n0,X16) )
=> ( gt(pv63,X16)
=> init = a_select3(id_ds1_filter_init,X16,X17) ) )
& ! [X14,X15] :
( ( leq(X15,n5)
& leq(X14,n5)
& leq(n0,X15)
& leq(n0,X14) )
=> ( ( gt(pv64,X15)
& pv63 = X14 )
=> init = a_select3(id_ds1_filter_init,X14,X15) ) )
& ! [X12,X13] :
( ( leq(X13,n5)
& leq(X12,n5)
& leq(n0,X13)
& leq(n0,X12) )
=> init = a_select3(pminus_ds1_filter_init,X12,X13) )
& ! [X10,X11] :
( ( leq(X11,n0)
& leq(X10,n5)
& leq(n0,X11)
& leq(n0,X10) )
=> init = a_select3(xhatmin_ds1_filter_init,X10,X11) )
& ! [X8,X9] :
( ( leq(X9,n2)
& leq(X8,n2)
& leq(n0,X9)
& leq(n0,X8) )
=> init = a_select3(r_ds1_filter_init,X8,X9) )
& ! [X6,X7] :
( ( leq(X7,n5)
& leq(X6,n5)
& leq(n0,X7)
& leq(n0,X6) )
=> init = a_select3(q_ds1_filter_init,X6,X7) )
& ! [X4,X5] :
( ( leq(X5,n0)
& leq(X4,n5)
& leq(n0,X5)
& leq(n0,X4) )
=> init = a_select3(dv_ds1_filter_init,X4,X5) )
& ! [X2,X3] :
( ( leq(X3,n5)
& leq(X2,n5)
& leq(n0,X3)
& leq(n0,X2) )
=> init = a_select3(phi_ds1_filter_init,X2,X3) )
& ! [X0,X1] :
( ( leq(X1,n5)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> a_select3(h_ds1_filter_init,X0,X1) = init )
& leq(pv64,n5)
& leq(pv63,n5)
& leq(pv5,n998)
& leq(n0,pv64)
& leq(n0,pv63)
& leq(n0,pv5)
& pv63 != pv64 )
=> ! [X20,X21] :
( ( leq(X21,n5)
& leq(X20,n5)
& leq(n0,X21)
& leq(n0,X20) )
=> ( ( leq(X21,pv64)
& pv63 = X20
& pv64 != X21 )
=> init = a_select3(id_ds1_filter_init,X20,X21) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f649,plain,
( sP29(sK1,sK0)
| ~ leq(sK1,n5)
| ~ spl31_28 ),
inference(subsumption_resolution,[],[f648,f16]) ).
fof(f16,plain,
pv64 != sK1,
inference(cnf_transformation,[],[f8]) ).
fof(f648,plain,
( sP29(sK1,sK0)
| pv64 = sK1
| ~ leq(sK1,n5)
| ~ spl31_28 ),
inference(subsumption_resolution,[],[f647,f18]) ).
fof(f18,plain,
leq(sK1,pv64),
inference(cnf_transformation,[],[f8]) ).
fof(f647,plain,
( sP29(sK1,sK0)
| ~ leq(sK1,pv64)
| pv64 = sK1
| ~ leq(sK1,n5)
| ~ spl31_28 ),
inference(subsumption_resolution,[],[f626,f19]) ).
fof(f19,plain,
init != a_select3(id_ds1_filter_init,sK0,sK1),
inference(cnf_transformation,[],[f8]) ).
fof(f626,plain,
( sP29(sK1,sK0)
| init = a_select3(id_ds1_filter_init,sK0,sK1)
| ~ leq(sK1,pv64)
| pv64 = sK1
| ~ leq(sK1,n5)
| ~ spl31_28 ),
inference(resolution,[],[f316,f13]) ).
fof(f13,plain,
leq(n0,sK1),
inference(cnf_transformation,[],[f8]) ).
fof(f316,plain,
( ! [X21] :
( ~ leq(n0,X21)
| sP29(X21,sK0)
| init = a_select3(id_ds1_filter_init,sK0,X21)
| ~ leq(X21,pv64)
| pv64 = X21
| ~ leq(X21,n5) )
| ~ spl31_28 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f315,plain,
( spl31_28
<=> ! [X21] :
( ~ leq(n0,X21)
| sP29(X21,sK0)
| init = a_select3(id_ds1_filter_init,sK0,X21)
| ~ leq(X21,pv64)
| pv64 = X21
| ~ leq(X21,n5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_28])]) ).
fof(f5372,plain,
( ~ spl31_9
| ~ spl31_426
| ~ spl31_427 ),
inference(avatar_contradiction_clause,[],[f5371]) ).
fof(f5371,plain,
( $false
| ~ spl31_9
| ~ spl31_426
| ~ spl31_427 ),
inference(subsumption_resolution,[],[f5370,f216]) ).
fof(f216,plain,
( sP24(sK13,sK12)
| ~ spl31_9 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f214,plain,
( spl31_9
<=> sP24(sK13,sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_9])]) ).
fof(f5370,plain,
( ~ sP24(sK13,sK12)
| ~ spl31_9
| ~ spl31_426
| ~ spl31_427 ),
inference(trivial_inequality_removal,[],[f5369]) ).
fof(f5369,plain,
( init != init
| ~ sP24(sK13,sK12)
| ~ spl31_9
| ~ spl31_426
| ~ spl31_427 ),
inference(superposition,[],[f64,f5351]) ).
fof(f5351,plain,
( init = a_select3(xhatmin_ds1_filter_init,sK12,sK13)
| ~ spl31_9
| ~ spl31_426
| ~ spl31_427 ),
inference(subsumption_resolution,[],[f5342,f4919]) ).
fof(f4919,plain,
( leq(n0,sK12)
| ~ spl31_427 ),
inference(avatar_component_clause,[],[f4918]) ).
fof(f4918,plain,
( spl31_427
<=> leq(n0,sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_427])]) ).
fof(f5342,plain,
( init = a_select3(xhatmin_ds1_filter_init,sK12,sK13)
| ~ leq(n0,sK12)
| ~ spl31_9
| ~ spl31_426 ),
inference(resolution,[],[f4895,f4872]) ).
fof(f4872,plain,
( leq(sK12,n5)
| ~ spl31_9 ),
inference(resolution,[],[f216,f62]) ).
fof(f62,plain,
! [X8,X9] :
( ~ sP24(X9,X8)
| leq(X8,n5) ),
inference(cnf_transformation,[],[f10]) ).
fof(f10,plain,
( ! [X20,X21] :
( init = a_select3(id_ds1_filter_init,X20,X21)
| ~ leq(X21,pv64)
| pv63 != X20
| pv64 = X21
| ~ leq(X21,n5)
| ~ leq(X20,n5)
| ~ leq(n0,X21)
| ~ leq(n0,X20) )
| ? [X0] :
( ? [X1] :
( init != a_select3(id_ds1_filter_init,X0,X1)
& leq(X1,n5)
& leq(n0,X1) )
& leq(X0,pred(pv63))
& leq(n0,X0) )
| ? [X2,X3] :
( init != a_select3(id_ds1_filter_init,X2,X3)
& gt(pv63,X2)
& leq(X3,n5)
& leq(X2,n5)
& leq(n0,X3)
& leq(n0,X2) )
| ? [X4,X5] :
( init != a_select3(id_ds1_filter_init,X4,X5)
& gt(pv64,X5)
& pv63 = X4
& leq(X5,n5)
& leq(X4,n5)
& leq(n0,X5)
& leq(n0,X4) )
| ? [X6,X7] :
( init != a_select3(pminus_ds1_filter_init,X6,X7)
& leq(X7,n5)
& leq(X6,n5)
& leq(n0,X7)
& leq(n0,X6) )
| ? [X8,X9] :
( init != a_select3(xhatmin_ds1_filter_init,X8,X9)
& leq(X9,n0)
& leq(X8,n5)
& leq(n0,X9)
& leq(n0,X8) )
| ? [X10,X11] :
( init != a_select3(r_ds1_filter_init,X10,X11)
& leq(X11,n2)
& leq(X10,n2)
& leq(n0,X11)
& leq(n0,X10) )
| ? [X12,X13] :
( init != a_select3(q_ds1_filter_init,X12,X13)
& leq(X13,n5)
& leq(X12,n5)
& leq(n0,X13)
& leq(n0,X12) )
| ? [X14,X15] :
( init != a_select3(dv_ds1_filter_init,X14,X15)
& leq(X15,n0)
& leq(X14,n5)
& leq(n0,X15)
& leq(n0,X14) )
| ? [X16,X17] :
( init != a_select3(phi_ds1_filter_init,X16,X17)
& leq(X17,n5)
& leq(X16,n5)
& leq(n0,X17)
& leq(n0,X16) )
| ? [X18,X19] :
( init != a_select3(h_ds1_filter_init,X18,X19)
& leq(X19,n5)
& leq(X18,n2)
& leq(n0,X19)
& leq(n0,X18) )
| ~ leq(pv64,n5)
| ~ leq(pv63,n5)
| ~ leq(pv5,n998)
| ~ leq(n0,pv64)
| ~ leq(n0,pv63)
| ~ leq(n0,pv5)
| pv63 = pv64 ),
inference(flattening,[],[f9]) ).
fof(f9,plain,
( ! [X20,X21] :
( init = a_select3(id_ds1_filter_init,X20,X21)
| ~ leq(X21,pv64)
| pv63 != X20
| pv64 = X21
| ~ leq(X21,n5)
| ~ leq(X20,n5)
| ~ leq(n0,X21)
| ~ leq(n0,X20) )
| ? [X0] :
( ? [X1] :
( init != a_select3(id_ds1_filter_init,X0,X1)
& leq(X1,n5)
& leq(n0,X1) )
& leq(X0,pred(pv63))
& leq(n0,X0) )
| ? [X2,X3] :
( init != a_select3(id_ds1_filter_init,X2,X3)
& gt(pv63,X2)
& leq(X3,n5)
& leq(X2,n5)
& leq(n0,X3)
& leq(n0,X2) )
| ? [X4,X5] :
( init != a_select3(id_ds1_filter_init,X4,X5)
& gt(pv64,X5)
& pv63 = X4
& leq(X5,n5)
& leq(X4,n5)
& leq(n0,X5)
& leq(n0,X4) )
| ? [X6,X7] :
( init != a_select3(pminus_ds1_filter_init,X6,X7)
& leq(X7,n5)
& leq(X6,n5)
& leq(n0,X7)
& leq(n0,X6) )
| ? [X8,X9] :
( init != a_select3(xhatmin_ds1_filter_init,X8,X9)
& leq(X9,n0)
& leq(X8,n5)
& leq(n0,X9)
& leq(n0,X8) )
| ? [X10,X11] :
( init != a_select3(r_ds1_filter_init,X10,X11)
& leq(X11,n2)
& leq(X10,n2)
& leq(n0,X11)
& leq(n0,X10) )
| ? [X12,X13] :
( init != a_select3(q_ds1_filter_init,X12,X13)
& leq(X13,n5)
& leq(X12,n5)
& leq(n0,X13)
& leq(n0,X12) )
| ? [X14,X15] :
( init != a_select3(dv_ds1_filter_init,X14,X15)
& leq(X15,n0)
& leq(X14,n5)
& leq(n0,X15)
& leq(n0,X14) )
| ? [X16,X17] :
( init != a_select3(phi_ds1_filter_init,X16,X17)
& leq(X17,n5)
& leq(X16,n5)
& leq(n0,X17)
& leq(n0,X16) )
| ? [X18,X19] :
( init != a_select3(h_ds1_filter_init,X18,X19)
& leq(X19,n5)
& leq(X18,n2)
& leq(n0,X19)
& leq(n0,X18) )
| ~ leq(pv64,n5)
| ~ leq(pv63,n5)
| ~ leq(pv5,n998)
| ~ leq(n0,pv64)
| ~ leq(n0,pv63)
| ~ leq(n0,pv5)
| pv63 = pv64 ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
( ( ! [X0] :
( ( leq(X0,pred(pv63))
& leq(n0,X0) )
=> ! [X1] :
( ( leq(X1,n5)
& leq(n0,X1) )
=> init = a_select3(id_ds1_filter_init,X0,X1) ) )
& ! [X2,X3] :
( ( leq(X3,n5)
& leq(X2,n5)
& leq(n0,X3)
& leq(n0,X2) )
=> ( gt(pv63,X2)
=> init = a_select3(id_ds1_filter_init,X2,X3) ) )
& ! [X4,X5] :
( ( leq(X5,n5)
& leq(X4,n5)
& leq(n0,X5)
& leq(n0,X4) )
=> ( ( gt(pv64,X5)
& pv63 = X4 )
=> init = a_select3(id_ds1_filter_init,X4,X5) ) )
& ! [X6,X7] :
( ( leq(X7,n5)
& leq(X6,n5)
& leq(n0,X7)
& leq(n0,X6) )
=> init = a_select3(pminus_ds1_filter_init,X6,X7) )
& ! [X8,X9] :
( ( leq(X9,n0)
& leq(X8,n5)
& leq(n0,X9)
& leq(n0,X8) )
=> init = a_select3(xhatmin_ds1_filter_init,X8,X9) )
& ! [X10,X11] :
( ( leq(X11,n2)
& leq(X10,n2)
& leq(n0,X11)
& leq(n0,X10) )
=> init = a_select3(r_ds1_filter_init,X10,X11) )
& ! [X12,X13] :
( ( leq(X13,n5)
& leq(X12,n5)
& leq(n0,X13)
& leq(n0,X12) )
=> init = a_select3(q_ds1_filter_init,X12,X13) )
& ! [X14,X15] :
( ( leq(X15,n0)
& leq(X14,n5)
& leq(n0,X15)
& leq(n0,X14) )
=> init = a_select3(dv_ds1_filter_init,X14,X15) )
& ! [X16,X17] :
( ( leq(X17,n5)
& leq(X16,n5)
& leq(n0,X17)
& leq(n0,X16) )
=> init = a_select3(phi_ds1_filter_init,X16,X17) )
& ! [X18,X19] :
( ( leq(X19,n5)
& leq(X18,n2)
& leq(n0,X19)
& leq(n0,X18) )
=> init = a_select3(h_ds1_filter_init,X18,X19) )
& leq(pv64,n5)
& leq(pv63,n5)
& leq(pv5,n998)
& leq(n0,pv64)
& leq(n0,pv63)
& leq(n0,pv5)
& pv63 != pv64 )
=> ! [X20,X21] :
( ( leq(X21,n5)
& leq(X20,n5)
& leq(n0,X21)
& leq(n0,X20) )
=> ( ( leq(X21,pv64)
& pv63 = X20
& pv64 != X21 )
=> init = a_select3(id_ds1_filter_init,X20,X21) ) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
( ( ! [X18] :
( ( leq(X18,pred(pv63))
& leq(n0,X18) )
=> ! [X19] :
( ( leq(X19,n5)
& leq(n0,X19) )
=> init = a_select3(id_ds1_filter_init,X18,X19) ) )
& ! [X16,X17] :
( ( leq(X17,n5)
& leq(X16,n5)
& leq(n0,X17)
& leq(n0,X16) )
=> ( gt(pv63,X16)
=> init = a_select3(id_ds1_filter_init,X16,X17) ) )
& ! [X14,X15] :
( ( leq(X15,n5)
& leq(X14,n5)
& leq(n0,X15)
& leq(n0,X14) )
=> ( ( gt(pv64,X15)
& pv63 = X14 )
=> init = a_select3(id_ds1_filter_init,X14,X15) ) )
& ! [X12,X13] :
( ( leq(X13,n5)
& leq(X12,n5)
& leq(n0,X13)
& leq(n0,X12) )
=> init = a_select3(pminus_ds1_filter_init,X12,X13) )
& ! [X10,X11] :
( ( leq(X11,n0)
& leq(X10,n5)
& leq(n0,X11)
& leq(n0,X10) )
=> init = a_select3(xhatmin_ds1_filter_init,X10,X11) )
& ! [X8,X9] :
( ( leq(X9,n2)
& leq(X8,n2)
& leq(n0,X9)
& leq(n0,X8) )
=> init = a_select3(r_ds1_filter_init,X8,X9) )
& ! [X6,X7] :
( ( leq(X7,n5)
& leq(X6,n5)
& leq(n0,X7)
& leq(n0,X6) )
=> init = a_select3(q_ds1_filter_init,X6,X7) )
& ! [X4,X5] :
( ( leq(X5,n0)
& leq(X4,n5)
& leq(n0,X5)
& leq(n0,X4) )
=> init = a_select3(dv_ds1_filter_init,X4,X5) )
& ! [X2,X3] :
( ( leq(X3,n5)
& leq(X2,n5)
& leq(n0,X3)
& leq(n0,X2) )
=> init = a_select3(phi_ds1_filter_init,X2,X3) )
& ! [X0,X1] :
( ( leq(X1,n5)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> a_select3(h_ds1_filter_init,X0,X1) = init )
& leq(pv64,n5)
& leq(pv63,n5)
& leq(pv5,n998)
& leq(n0,pv64)
& leq(n0,pv63)
& leq(n0,pv5)
& pv63 != pv64 )
=> ! [X20,X21] :
( ( leq(X21,n5)
& leq(X20,n5)
& leq(n0,X21)
& leq(n0,X20) )
=> ( ( leq(X21,pv64)
& pv63 = X20
& pv64 != X21 )
=> init = a_select3(id_ds1_filter_init,X20,X21) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f4895,plain,
( ! [X0] :
( ~ leq(X0,n5)
| init = a_select3(xhatmin_ds1_filter_init,X0,sK13)
| ~ leq(n0,X0) )
| ~ spl31_426 ),
inference(avatar_component_clause,[],[f4894]) ).
fof(f4894,plain,
( spl31_426
<=> ! [X0] :
( ~ leq(X0,n5)
| init = a_select3(xhatmin_ds1_filter_init,X0,sK13)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_426])]) ).
fof(f64,plain,
! [X8,X9] :
( init != a_select3(xhatmin_ds1_filter_init,X8,X9)
| ~ sP24(X9,X8) ),
inference(cnf_transformation,[],[f10]) ).
fof(f5137,plain,
( spl31_427
| ~ spl31_9 ),
inference(avatar_split_clause,[],[f4874,f214,f4918]) ).
fof(f4874,plain,
( leq(n0,sK12)
| ~ spl31_9 ),
inference(resolution,[],[f216,f60]) ).
fof(f60,plain,
! [X8,X9] :
( ~ sP24(X9,X8)
| leq(n0,X8) ),
inference(cnf_transformation,[],[f10]) ).
fof(f5005,plain,
( spl31_426
| ~ spl31_9 ),
inference(avatar_split_clause,[],[f5004,f214,f4894]) ).
fof(f5004,plain,
( ! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n5)
| init = a_select3(xhatmin_ds1_filter_init,X0,sK13) )
| ~ spl31_9 ),
inference(subsumption_resolution,[],[f4962,f4871]) ).
fof(f4871,plain,
( leq(sK13,n0)
| ~ spl31_9 ),
inference(resolution,[],[f216,f63]) ).
fof(f63,plain,
! [X8,X9] :
( ~ sP24(X9,X8)
| leq(X9,n0) ),
inference(cnf_transformation,[],[f10]) ).
fof(f4962,plain,
( ! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n5)
| ~ leq(sK13,n0)
| init = a_select3(xhatmin_ds1_filter_init,X0,sK13) )
| ~ spl31_9 ),
inference(resolution,[],[f4873,f23]) ).
fof(f23,plain,
! [X8,X9] :
( ~ leq(n0,X9)
| ~ leq(n0,X8)
| ~ leq(X8,n5)
| ~ leq(X9,n0)
| init = a_select3(xhatmin_ds1_filter_init,X8,X9) ),
inference(cnf_transformation,[],[f8]) ).
fof(f4873,plain,
( leq(n0,sK13)
| ~ spl31_9 ),
inference(resolution,[],[f216,f61]) ).
fof(f61,plain,
! [X8,X9] :
( ~ sP24(X9,X8)
| leq(n0,X9) ),
inference(cnf_transformation,[],[f10]) ).
fof(f4870,plain,
( ~ spl31_14
| ~ spl31_25
| spl31_27
| ~ spl31_396 ),
inference(avatar_contradiction_clause,[],[f4869]) ).
fof(f4869,plain,
( $false
| ~ spl31_14
| ~ spl31_25
| spl31_27
| ~ spl31_396 ),
inference(subsumption_resolution,[],[f4868,f236]) ).
fof(f236,plain,
( leq(n0,sK2)
| ~ spl31_14 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f234,plain,
( spl31_14
<=> leq(n0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_14])]) ).
fof(f4868,plain,
( ~ leq(n0,sK2)
| ~ spl31_25
| spl31_27
| ~ spl31_396 ),
inference(subsumption_resolution,[],[f4867,f308]) ).
fof(f308,plain,
( init != a_select3(h_ds1_filter_init,sK2,sK3)
| spl31_27 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f306,plain,
( spl31_27
<=> init = a_select3(h_ds1_filter_init,sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_27])]) ).
fof(f4867,plain,
( init = a_select3(h_ds1_filter_init,sK2,sK3)
| ~ leq(n0,sK2)
| ~ spl31_25
| ~ spl31_396 ),
inference(resolution,[],[f4619,f290]) ).
fof(f290,plain,
( leq(sK2,n2)
| ~ spl31_25 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f288,plain,
( spl31_25
<=> leq(sK2,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_25])]) ).
fof(f4619,plain,
( ! [X0] :
( ~ leq(X0,n2)
| init = a_select3(h_ds1_filter_init,X0,sK3)
| ~ leq(n0,X0) )
| ~ spl31_396 ),
inference(avatar_component_clause,[],[f4618]) ).
fof(f4618,plain,
( spl31_396
<=> ! [X0] :
( ~ leq(n0,X0)
| init = a_select3(h_ds1_filter_init,X0,sK3)
| ~ leq(X0,n2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_396])]) ).
fof(f4620,plain,
( ~ spl31_26
| spl31_396
| ~ spl31_24 ),
inference(avatar_split_clause,[],[f4556,f279,f4618,f297]) ).
fof(f297,plain,
( spl31_26
<=> leq(sK3,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_26])]) ).
fof(f279,plain,
( spl31_24
<=> leq(n0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_24])]) ).
fof(f4556,plain,
( ! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n2)
| ~ leq(sK3,n5)
| init = a_select3(h_ds1_filter_init,X0,sK3) )
| ~ spl31_24 ),
inference(resolution,[],[f281,f28]) ).
fof(f28,plain,
! [X18,X19] :
( ~ leq(n0,X19)
| ~ leq(n0,X18)
| ~ leq(X18,n2)
| ~ leq(X19,n5)
| init = a_select3(h_ds1_filter_init,X18,X19) ),
inference(cnf_transformation,[],[f8]) ).
fof(f281,plain,
( leq(n0,sK3)
| ~ spl31_24 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f4280,plain,
( ~ spl31_12
| ~ spl31_81
| ~ spl31_287 ),
inference(avatar_contradiction_clause,[],[f4279]) ).
fof(f4279,plain,
( $false
| ~ spl31_12
| ~ spl31_81
| ~ spl31_287 ),
inference(subsumption_resolution,[],[f4278,f228]) ).
fof(f228,plain,
( sP21(sK7,sK6)
| ~ spl31_12 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f226,plain,
( spl31_12
<=> sP21(sK7,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_12])]) ).
fof(f4278,plain,
( ~ sP21(sK7,sK6)
| ~ spl31_12
| ~ spl31_81
| ~ spl31_287 ),
inference(trivial_inequality_removal,[],[f4277]) ).
fof(f4277,plain,
( init != init
| ~ sP21(sK7,sK6)
| ~ spl31_12
| ~ spl31_81
| ~ spl31_287 ),
inference(superposition,[],[f79,f4242]) ).
fof(f4242,plain,
( init = a_select3(dv_ds1_filter_init,sK6,sK7)
| ~ spl31_12
| ~ spl31_81
| ~ spl31_287 ),
inference(subsumption_resolution,[],[f4233,f3901]) ).
fof(f3901,plain,
( leq(n0,sK6)
| ~ spl31_287 ),
inference(avatar_component_clause,[],[f3900]) ).
fof(f3900,plain,
( spl31_287
<=> leq(n0,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_287])]) ).
fof(f4233,plain,
( init = a_select3(dv_ds1_filter_init,sK6,sK7)
| ~ leq(n0,sK6)
| ~ spl31_12
| ~ spl31_81 ),
inference(resolution,[],[f1460,f3869]) ).
fof(f3869,plain,
( leq(sK6,n5)
| ~ spl31_12 ),
inference(resolution,[],[f228,f77]) ).
fof(f77,plain,
! [X14,X15] :
( ~ sP21(X15,X14)
| leq(X14,n5) ),
inference(cnf_transformation,[],[f10]) ).
fof(f1460,plain,
( ! [X0] :
( ~ leq(X0,n5)
| init = a_select3(dv_ds1_filter_init,X0,sK7)
| ~ leq(n0,X0) )
| ~ spl31_81 ),
inference(avatar_component_clause,[],[f1459]) ).
fof(f1459,plain,
( spl31_81
<=> ! [X0] :
( ~ leq(X0,n5)
| init = a_select3(dv_ds1_filter_init,X0,sK7)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_81])]) ).
fof(f79,plain,
! [X14,X15] :
( init != a_select3(dv_ds1_filter_init,X14,X15)
| ~ sP21(X15,X14) ),
inference(cnf_transformation,[],[f10]) ).
fof(f4090,plain,
( spl31_287
| ~ spl31_12 ),
inference(avatar_split_clause,[],[f3871,f226,f3900]) ).
fof(f3871,plain,
( leq(n0,sK6)
| ~ spl31_12 ),
inference(resolution,[],[f228,f75]) ).
fof(f75,plain,
! [X14,X15] :
( ~ sP21(X15,X14)
| leq(n0,X14) ),
inference(cnf_transformation,[],[f10]) ).
fof(f3972,plain,
( spl31_81
| ~ spl31_12 ),
inference(avatar_split_clause,[],[f3971,f226,f1459]) ).
fof(f3971,plain,
( ! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n5)
| init = a_select3(dv_ds1_filter_init,X0,sK7) )
| ~ spl31_12 ),
inference(subsumption_resolution,[],[f3918,f3868]) ).
fof(f3868,plain,
( leq(sK7,n0)
| ~ spl31_12 ),
inference(resolution,[],[f228,f78]) ).
fof(f78,plain,
! [X14,X15] :
( ~ sP21(X15,X14)
| leq(X15,n0) ),
inference(cnf_transformation,[],[f10]) ).
fof(f3918,plain,
( ! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n5)
| ~ leq(sK7,n0)
| init = a_select3(dv_ds1_filter_init,X0,sK7) )
| ~ spl31_12 ),
inference(resolution,[],[f3870,f26]) ).
fof(f26,plain,
! [X14,X15] :
( ~ leq(n0,X15)
| ~ leq(n0,X14)
| ~ leq(X14,n5)
| ~ leq(X15,n0)
| init = a_select3(dv_ds1_filter_init,X14,X15) ),
inference(cnf_transformation,[],[f8]) ).
fof(f3870,plain,
( leq(n0,sK7)
| ~ spl31_12 ),
inference(resolution,[],[f228,f76]) ).
fof(f76,plain,
! [X14,X15] :
( ~ sP21(X15,X14)
| leq(n0,X15) ),
inference(cnf_transformation,[],[f10]) ).
fof(f3841,plain,
( spl31_75
| ~ spl31_10
| ~ spl31_217 ),
inference(avatar_split_clause,[],[f3840,f3406,f218,f1421]) ).
fof(f1421,plain,
( spl31_75
<=> ! [X0] :
( ~ leq(X0,n2)
| init = a_select3(r_ds1_filter_init,X0,sK11)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_75])]) ).
fof(f218,plain,
( spl31_10
<=> sP23(sK11,sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_10])]) ).
fof(f3406,plain,
( spl31_217
<=> leq(n0,sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_217])]) ).
fof(f3840,plain,
( ! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n2)
| init = a_select3(r_ds1_filter_init,X0,sK11) )
| ~ spl31_10
| ~ spl31_217 ),
inference(subsumption_resolution,[],[f3474,f3368]) ).
fof(f3368,plain,
( leq(sK11,n2)
| ~ spl31_10 ),
inference(resolution,[],[f220,f68]) ).
fof(f68,plain,
! [X10,X11] :
( ~ sP23(X11,X10)
| leq(X11,n2) ),
inference(cnf_transformation,[],[f10]) ).
fof(f220,plain,
( sP23(sK11,sK10)
| ~ spl31_10 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f3474,plain,
( ! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n2)
| ~ leq(sK11,n2)
| init = a_select3(r_ds1_filter_init,X0,sK11) )
| ~ spl31_217 ),
inference(resolution,[],[f3407,f24]) ).
fof(f24,plain,
! [X10,X11] :
( ~ leq(n0,X11)
| ~ leq(n0,X10)
| ~ leq(X10,n2)
| ~ leq(X11,n2)
| init = a_select3(r_ds1_filter_init,X10,X11) ),
inference(cnf_transformation,[],[f8]) ).
fof(f3407,plain,
( leq(n0,sK11)
| ~ spl31_217 ),
inference(avatar_component_clause,[],[f3406]) ).
fof(f3839,plain,
( ~ spl31_10
| ~ spl31_224 ),
inference(avatar_contradiction_clause,[],[f3838]) ).
fof(f3838,plain,
( $false
| ~ spl31_10
| ~ spl31_224 ),
inference(subsumption_resolution,[],[f3837,f220]) ).
fof(f3837,plain,
( ~ sP23(sK11,sK10)
| ~ spl31_224 ),
inference(trivial_inequality_removal,[],[f3836]) ).
fof(f3836,plain,
( init != init
| ~ sP23(sK11,sK10)
| ~ spl31_224 ),
inference(superposition,[],[f69,f3461]) ).
fof(f3461,plain,
( init = a_select3(r_ds1_filter_init,sK10,sK11)
| ~ spl31_224 ),
inference(avatar_component_clause,[],[f3459]) ).
fof(f3459,plain,
( spl31_224
<=> init = a_select3(r_ds1_filter_init,sK10,sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_224])]) ).
fof(f69,plain,
! [X10,X11] :
( init != a_select3(r_ds1_filter_init,X10,X11)
| ~ sP23(X11,X10) ),
inference(cnf_transformation,[],[f10]) ).
fof(f3469,plain,
( spl31_223
| ~ spl31_10 ),
inference(avatar_split_clause,[],[f3371,f218,f3455]) ).
fof(f3455,plain,
( spl31_223
<=> leq(n0,sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_223])]) ).
fof(f3371,plain,
( leq(n0,sK10)
| ~ spl31_10 ),
inference(resolution,[],[f220,f65]) ).
fof(f65,plain,
! [X10,X11] :
( ~ sP23(X11,X10)
| leq(n0,X10) ),
inference(cnf_transformation,[],[f10]) ).
fof(f3468,plain,
( spl31_217
| ~ spl31_10 ),
inference(avatar_split_clause,[],[f3370,f218,f3406]) ).
fof(f3370,plain,
( leq(n0,sK11)
| ~ spl31_10 ),
inference(resolution,[],[f220,f66]) ).
fof(f66,plain,
! [X10,X11] :
( ~ sP23(X11,X10)
| leq(n0,X11) ),
inference(cnf_transformation,[],[f10]) ).
fof(f3462,plain,
( ~ spl31_223
| spl31_224
| ~ spl31_10
| ~ spl31_75 ),
inference(avatar_split_clause,[],[f3432,f1421,f218,f3459,f3455]) ).
fof(f3432,plain,
( init = a_select3(r_ds1_filter_init,sK10,sK11)
| ~ leq(n0,sK10)
| ~ spl31_10
| ~ spl31_75 ),
inference(resolution,[],[f3369,f1422]) ).
fof(f1422,plain,
( ! [X0] :
( ~ leq(X0,n2)
| init = a_select3(r_ds1_filter_init,X0,sK11)
| ~ leq(n0,X0) )
| ~ spl31_75 ),
inference(avatar_component_clause,[],[f1421]) ).
fof(f3369,plain,
( leq(sK10,n2)
| ~ spl31_10 ),
inference(resolution,[],[f220,f67]) ).
fof(f67,plain,
! [X10,X11] :
( ~ sP23(X11,X10)
| leq(X10,n2) ),
inference(cnf_transformation,[],[f10]) ).
fof(f3367,plain,
( spl31_7
| ~ spl31_73 ),
inference(avatar_contradiction_clause,[],[f3366]) ).
fof(f3366,plain,
( $false
| spl31_7
| ~ spl31_73 ),
inference(subsumption_resolution,[],[f3365,f3135]) ).
fof(f3135,plain,
( ~ sP26(sK17,sK0)
| spl31_7 ),
inference(backward_demodulation,[],[f208,f3050]) ).
fof(f3050,plain,
( sK0 = sK16
| spl31_7 ),
inference(resolution,[],[f208,f169]) ).
fof(f169,plain,
! [X4,X5] :
( sP26(X5,X4)
| sK0 = X4 ),
inference(consistent_polarity_flipping,[],[f136]) ).
fof(f136,plain,
! [X4,X5] :
( sK0 = X4
| ~ sP26(X5,X4) ),
inference(definition_unfolding,[],[f52,f17]) ).
fof(f17,plain,
pv63 = sK0,
inference(cnf_transformation,[],[f8]) ).
fof(f52,plain,
! [X4,X5] :
( pv63 = X4
| ~ sP26(X5,X4) ),
inference(cnf_transformation,[],[f10]) ).
fof(f208,plain,
( ~ sP26(sK17,sK16)
| spl31_7 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f206,plain,
( spl31_7
<=> sP26(sK17,sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_7])]) ).
fof(f3365,plain,
( sP26(sK17,sK0)
| ~ spl31_73 ),
inference(trivial_inequality_removal,[],[f3362]) ).
fof(f3362,plain,
( init != init
| sP26(sK17,sK0)
| ~ spl31_73 ),
inference(superposition,[],[f167,f1355]) ).
fof(f1355,plain,
( init = a_select3(id_ds1_filter_init,sK0,sK17)
| ~ spl31_73 ),
inference(avatar_component_clause,[],[f1353]) ).
fof(f1353,plain,
( spl31_73
<=> init = a_select3(id_ds1_filter_init,sK0,sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_73])]) ).
fof(f167,plain,
! [X4,X5] :
( init != a_select3(id_ds1_filter_init,X4,X5)
| sP26(X5,X4) ),
inference(consistent_polarity_flipping,[],[f54]) ).
fof(f54,plain,
! [X4,X5] :
( init != a_select3(id_ds1_filter_init,X4,X5)
| ~ sP26(X5,X4) ),
inference(cnf_transformation,[],[f10]) ).
fof(f3134,plain,
( ~ spl31_71
| ~ spl31_72
| spl31_73
| ~ spl31_2
| spl31_7 ),
inference(avatar_split_clause,[],[f3133,f206,f185,f1353,f1349,f1345]) ).
fof(f1345,plain,
( spl31_71
<=> leq(sK17,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_71])]) ).
fof(f1349,plain,
( spl31_72
<=> leq(n0,sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_72])]) ).
fof(f185,plain,
( spl31_2
<=> ! [X5] :
( ~ leq(n0,X5)
| init = a_select3(id_ds1_filter_init,sK0,X5)
| ~ gt(pv64,X5)
| ~ leq(X5,n5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_2])]) ).
fof(f3133,plain,
( init = a_select3(id_ds1_filter_init,sK0,sK17)
| ~ leq(n0,sK17)
| ~ leq(sK17,n5)
| ~ spl31_2
| spl31_7 ),
inference(resolution,[],[f3049,f186]) ).
fof(f186,plain,
( ! [X5] :
( ~ gt(pv64,X5)
| init = a_select3(id_ds1_filter_init,sK0,X5)
| ~ leq(n0,X5)
| ~ leq(X5,n5) )
| ~ spl31_2 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f3049,plain,
( gt(pv64,sK17)
| spl31_7 ),
inference(resolution,[],[f208,f168]) ).
fof(f168,plain,
! [X4,X5] :
( gt(pv64,X5)
| sP26(X5,X4) ),
inference(consistent_polarity_flipping,[],[f53]) ).
fof(f53,plain,
! [X4,X5] :
( gt(pv64,X5)
| ~ sP26(X5,X4) ),
inference(cnf_transformation,[],[f10]) ).
fof(f3038,plain,
( ~ spl31_23
| spl31_13
| ~ spl31_20
| ~ spl31_21
| ~ spl31_22 ),
inference(avatar_split_clause,[],[f3037,f269,f264,f259,f230,f274]) ).
fof(f274,plain,
( spl31_23
<=> leq(n0,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_23])]) ).
fof(f230,plain,
( spl31_13
<=> init = a_select3(phi_ds1_filter_init,sK4,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_13])]) ).
fof(f259,plain,
( spl31_20
<=> leq(sK5,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_20])]) ).
fof(f264,plain,
( spl31_21
<=> leq(sK4,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_21])]) ).
fof(f269,plain,
( spl31_22
<=> leq(n0,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_22])]) ).
fof(f3037,plain,
( ~ leq(n0,sK4)
| spl31_13
| ~ spl31_20
| ~ spl31_21
| ~ spl31_22 ),
inference(subsumption_resolution,[],[f3025,f232]) ).
fof(f232,plain,
( init != a_select3(phi_ds1_filter_init,sK4,sK5)
| spl31_13 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f3025,plain,
( ~ leq(n0,sK4)
| init = a_select3(phi_ds1_filter_init,sK4,sK5)
| ~ spl31_20
| ~ spl31_21
| ~ spl31_22 ),
inference(resolution,[],[f2800,f266]) ).
fof(f266,plain,
( leq(sK4,n5)
| ~ spl31_21 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f2800,plain,
( ! [X0] :
( ~ leq(X0,n5)
| ~ leq(n0,X0)
| init = a_select3(phi_ds1_filter_init,X0,sK5) )
| ~ spl31_20
| ~ spl31_22 ),
inference(subsumption_resolution,[],[f2748,f261]) ).
fof(f261,plain,
( leq(sK5,n5)
| ~ spl31_20 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f2748,plain,
( ! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n5)
| ~ leq(sK5,n5)
| init = a_select3(phi_ds1_filter_init,X0,sK5) )
| ~ spl31_22 ),
inference(resolution,[],[f271,f27]) ).
fof(f27,plain,
! [X16,X17] :
( ~ leq(n0,X17)
| ~ leq(n0,X16)
| ~ leq(X16,n5)
| ~ leq(X17,n5)
| init = a_select3(phi_ds1_filter_init,X16,X17) ),
inference(cnf_transformation,[],[f8]) ).
fof(f271,plain,
( leq(n0,sK5)
| ~ spl31_22 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f2720,plain,
~ spl31_8,
inference(avatar_contradiction_clause,[],[f2719]) ).
fof(f2719,plain,
( $false
| ~ spl31_8 ),
inference(subsumption_resolution,[],[f2718,f212]) ).
fof(f212,plain,
( sP25(sK15,sK14)
| ~ spl31_8 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f210,plain,
( spl31_8
<=> sP25(sK15,sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_8])]) ).
fof(f2718,plain,
( ~ sP25(sK15,sK14)
| ~ spl31_8 ),
inference(trivial_inequality_removal,[],[f2717]) ).
fof(f2717,plain,
( init != init
| ~ sP25(sK15,sK14)
| ~ spl31_8 ),
inference(superposition,[],[f59,f2673]) ).
fof(f2673,plain,
( init = a_select3(pminus_ds1_filter_init,sK14,sK15)
| ~ spl31_8 ),
inference(subsumption_resolution,[],[f2665,f2380]) ).
fof(f2380,plain,
( leq(n0,sK14)
| ~ spl31_8 ),
inference(resolution,[],[f212,f55]) ).
fof(f55,plain,
! [X6,X7] :
( ~ sP25(X7,X6)
| leq(n0,X6) ),
inference(cnf_transformation,[],[f10]) ).
fof(f2665,plain,
( ~ leq(n0,sK14)
| init = a_select3(pminus_ds1_filter_init,sK14,sK15)
| ~ spl31_8 ),
inference(resolution,[],[f2438,f2378]) ).
fof(f2378,plain,
( leq(sK14,n5)
| ~ spl31_8 ),
inference(resolution,[],[f212,f57]) ).
fof(f57,plain,
! [X6,X7] :
( ~ sP25(X7,X6)
| leq(X6,n5) ),
inference(cnf_transformation,[],[f10]) ).
fof(f2438,plain,
( ! [X0] :
( ~ leq(X0,n5)
| ~ leq(n0,X0)
| init = a_select3(pminus_ds1_filter_init,X0,sK15) )
| ~ spl31_8 ),
inference(subsumption_resolution,[],[f2403,f2377]) ).
fof(f2377,plain,
( leq(sK15,n5)
| ~ spl31_8 ),
inference(resolution,[],[f212,f58]) ).
fof(f58,plain,
! [X6,X7] :
( ~ sP25(X7,X6)
| leq(X7,n5) ),
inference(cnf_transformation,[],[f10]) ).
fof(f2403,plain,
( ! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n5)
| ~ leq(sK15,n5)
| init = a_select3(pminus_ds1_filter_init,X0,sK15) )
| ~ spl31_8 ),
inference(resolution,[],[f2379,f22]) ).
fof(f22,plain,
! [X6,X7] :
( ~ leq(n0,X7)
| ~ leq(n0,X6)
| ~ leq(X6,n5)
| ~ leq(X7,n5)
| init = a_select3(pminus_ds1_filter_init,X6,X7) ),
inference(cnf_transformation,[],[f8]) ).
fof(f2379,plain,
( leq(n0,sK15)
| ~ spl31_8 ),
inference(resolution,[],[f212,f56]) ).
fof(f56,plain,
! [X6,X7] :
( ~ sP25(X7,X6)
| leq(n0,X7) ),
inference(cnf_transformation,[],[f10]) ).
fof(f59,plain,
! [X6,X7] :
( init != a_select3(pminus_ds1_filter_init,X6,X7)
| ~ sP25(X7,X6) ),
inference(cnf_transformation,[],[f10]) ).
fof(f2376,plain,
~ spl31_11,
inference(avatar_contradiction_clause,[],[f2375]) ).
fof(f2375,plain,
( $false
| ~ spl31_11 ),
inference(subsumption_resolution,[],[f2374,f224]) ).
fof(f224,plain,
( sP22(sK9,sK8)
| ~ spl31_11 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f222,plain,
( spl31_11
<=> sP22(sK9,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_11])]) ).
fof(f2374,plain,
( ~ sP22(sK9,sK8)
| ~ spl31_11 ),
inference(trivial_inequality_removal,[],[f2373]) ).
fof(f2373,plain,
( init != init
| ~ sP22(sK9,sK8)
| ~ spl31_11 ),
inference(superposition,[],[f74,f2302]) ).
fof(f2302,plain,
( init = a_select3(q_ds1_filter_init,sK8,sK9)
| ~ spl31_11 ),
inference(subsumption_resolution,[],[f2294,f1987]) ).
fof(f1987,plain,
( leq(n0,sK8)
| ~ spl31_11 ),
inference(resolution,[],[f224,f70]) ).
fof(f70,plain,
! [X12,X13] :
( ~ sP22(X13,X12)
| leq(n0,X12) ),
inference(cnf_transformation,[],[f10]) ).
fof(f2294,plain,
( ~ leq(n0,sK8)
| init = a_select3(q_ds1_filter_init,sK8,sK9)
| ~ spl31_11 ),
inference(resolution,[],[f2062,f1985]) ).
fof(f1985,plain,
( leq(sK8,n5)
| ~ spl31_11 ),
inference(resolution,[],[f224,f72]) ).
fof(f72,plain,
! [X12,X13] :
( ~ sP22(X13,X12)
| leq(X12,n5) ),
inference(cnf_transformation,[],[f10]) ).
fof(f2062,plain,
( ! [X0] :
( ~ leq(X0,n5)
| ~ leq(n0,X0)
| init = a_select3(q_ds1_filter_init,X0,sK9) )
| ~ spl31_11 ),
inference(subsumption_resolution,[],[f2013,f1984]) ).
fof(f1984,plain,
( leq(sK9,n5)
| ~ spl31_11 ),
inference(resolution,[],[f224,f73]) ).
fof(f73,plain,
! [X12,X13] :
( ~ sP22(X13,X12)
| leq(X13,n5) ),
inference(cnf_transformation,[],[f10]) ).
fof(f2013,plain,
( ! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n5)
| ~ leq(sK9,n5)
| init = a_select3(q_ds1_filter_init,X0,sK9) )
| ~ spl31_11 ),
inference(resolution,[],[f1986,f25]) ).
fof(f25,plain,
! [X12,X13] :
( ~ leq(n0,X13)
| ~ leq(n0,X12)
| ~ leq(X12,n5)
| ~ leq(X13,n5)
| init = a_select3(q_ds1_filter_init,X12,X13) ),
inference(cnf_transformation,[],[f8]) ).
fof(f1986,plain,
( leq(n0,sK9)
| ~ spl31_11 ),
inference(resolution,[],[f224,f71]) ).
fof(f71,plain,
! [X12,X13] :
( ~ sP22(X13,X12)
| leq(n0,X13) ),
inference(cnf_transformation,[],[f10]) ).
fof(f74,plain,
! [X12,X13] :
( init != a_select3(q_ds1_filter_init,X12,X13)
| ~ sP22(X13,X12) ),
inference(cnf_transformation,[],[f10]) ).
fof(f1983,plain,
~ spl31_6,
inference(avatar_contradiction_clause,[],[f1982]) ).
fof(f1982,plain,
( $false
| ~ spl31_6 ),
inference(subsumption_resolution,[],[f1980,f204]) ).
fof(f204,plain,
( sP27(sK19,sK18)
| ~ spl31_6 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f202,plain,
( spl31_6
<=> sP27(sK19,sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_6])]) ).
fof(f1980,plain,
( ~ sP27(sK19,sK18)
| ~ spl31_6 ),
inference(trivial_inequality_removal,[],[f1979]) ).
fof(f1979,plain,
( init != init
| ~ sP27(sK19,sK18)
| ~ spl31_6 ),
inference(superposition,[],[f47,f1941]) ).
fof(f1941,plain,
( init = a_select3(id_ds1_filter_init,sK18,sK19)
| ~ spl31_6 ),
inference(subsumption_resolution,[],[f1933,f1473]) ).
fof(f1473,plain,
( leq(n0,sK19)
| ~ spl31_6 ),
inference(resolution,[],[f204,f43]) ).
fof(f43,plain,
! [X2,X3] :
( ~ sP27(X3,X2)
| leq(n0,X3) ),
inference(cnf_transformation,[],[f10]) ).
fof(f1933,plain,
( ~ leq(n0,sK19)
| init = a_select3(id_ds1_filter_init,sK18,sK19)
| ~ spl31_6 ),
inference(resolution,[],[f1730,f1471]) ).
fof(f1471,plain,
( leq(sK19,n5)
| ~ spl31_6 ),
inference(resolution,[],[f204,f45]) ).
fof(f45,plain,
! [X2,X3] :
( ~ sP27(X3,X2)
| leq(X3,n5) ),
inference(cnf_transformation,[],[f10]) ).
fof(f1730,plain,
( ! [X0] :
( ~ leq(X0,n5)
| ~ leq(n0,X0)
| init = a_select3(id_ds1_filter_init,sK18,X0) )
| ~ spl31_6 ),
inference(subsumption_resolution,[],[f1729,f1474]) ).
fof(f1474,plain,
( leq(n0,sK18)
| ~ spl31_6 ),
inference(resolution,[],[f204,f42]) ).
fof(f42,plain,
! [X2,X3] :
( ~ sP27(X3,X2)
| leq(n0,X2) ),
inference(cnf_transformation,[],[f10]) ).
fof(f1729,plain,
( ! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n5)
| ~ leq(n0,sK18)
| init = a_select3(id_ds1_filter_init,sK18,X0) )
| ~ spl31_6 ),
inference(subsumption_resolution,[],[f1728,f1472]) ).
fof(f1472,plain,
( leq(sK18,n5)
| ~ spl31_6 ),
inference(resolution,[],[f204,f44]) ).
fof(f44,plain,
! [X2,X3] :
( ~ sP27(X3,X2)
| leq(X2,n5) ),
inference(cnf_transformation,[],[f10]) ).
fof(f1728,plain,
( ! [X0] :
( ~ leq(n0,X0)
| ~ leq(sK18,n5)
| ~ leq(X0,n5)
| ~ leq(n0,sK18)
| init = a_select3(id_ds1_filter_init,sK18,X0) )
| ~ spl31_6 ),
inference(resolution,[],[f1475,f109]) ).
fof(f109,plain,
! [X2,X3] :
( ~ gt(sK0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n5)
| ~ leq(X3,n5)
| ~ leq(n0,X2)
| init = a_select3(id_ds1_filter_init,X2,X3) ),
inference(definition_unfolding,[],[f20,f17]) ).
fof(f20,plain,
! [X2,X3] :
( ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n5)
| ~ leq(X3,n5)
| ~ gt(pv63,X2)
| init = a_select3(id_ds1_filter_init,X2,X3) ),
inference(cnf_transformation,[],[f8]) ).
fof(f1475,plain,
( gt(sK0,sK18)
| ~ spl31_6 ),
inference(resolution,[],[f204,f137]) ).
fof(f137,plain,
! [X2,X3] :
( ~ sP27(X3,X2)
| gt(sK0,X2) ),
inference(definition_unfolding,[],[f46,f17]) ).
fof(f46,plain,
! [X2,X3] :
( gt(pv63,X2)
| ~ sP27(X3,X2) ),
inference(cnf_transformation,[],[f10]) ).
fof(f47,plain,
! [X2,X3] :
( init != a_select3(id_ds1_filter_init,X2,X3)
| ~ sP27(X3,X2) ),
inference(cnf_transformation,[],[f10]) ).
fof(f1404,plain,
( spl31_72
| spl31_7 ),
inference(avatar_split_clause,[],[f1362,f206,f1349]) ).
fof(f1362,plain,
( leq(n0,sK17)
| spl31_7 ),
inference(resolution,[],[f1357,f172]) ).
fof(f172,plain,
! [X4,X5] :
( leq(n0,X5)
| sP26(X5,X4) ),
inference(consistent_polarity_flipping,[],[f49]) ).
fof(f49,plain,
! [X4,X5] :
( leq(n0,X5)
| ~ sP26(X5,X4) ),
inference(cnf_transformation,[],[f10]) ).
fof(f1357,plain,
( ~ sP26(sK17,sK0)
| spl31_7 ),
inference(backward_demodulation,[],[f208,f1299]) ).
fof(f1299,plain,
( sK0 = sK16
| spl31_7 ),
inference(resolution,[],[f208,f169]) ).
fof(f1403,plain,
( spl31_71
| spl31_7 ),
inference(avatar_split_clause,[],[f1360,f206,f1345]) ).
fof(f1360,plain,
( leq(sK17,n5)
| spl31_7 ),
inference(resolution,[],[f1357,f170]) ).
fof(f170,plain,
! [X4,X5] :
( leq(X5,n5)
| sP26(X5,X4) ),
inference(consistent_polarity_flipping,[],[f51]) ).
fof(f51,plain,
! [X4,X5] :
( leq(X5,n5)
| ~ sP26(X5,X4) ),
inference(cnf_transformation,[],[f10]) ).
fof(f1297,plain,
spl31_5,
inference(avatar_contradiction_clause,[],[f1296]) ).
fof(f1296,plain,
( $false
| spl31_5 ),
inference(subsumption_resolution,[],[f200,f1295]) ).
fof(f1295,plain,
! [X0] : sP28(X0),
inference(subsumption_resolution,[],[f1294,f177]) ).
fof(f177,plain,
! [X0] :
( init != a_select3(id_ds1_filter_init,X0,sK30(X0))
| sP28(X0) ),
inference(consistent_polarity_flipping,[],[f38]) ).
fof(f38,plain,
! [X0] :
( init != a_select3(id_ds1_filter_init,X0,sK30(X0))
| ~ sP28(X0) ),
inference(cnf_transformation,[],[f10]) ).
fof(f1294,plain,
! [X0] :
( sP28(X0)
| init = a_select3(id_ds1_filter_init,X0,sK30(X0)) ),
inference(factoring,[],[f871]) ).
fof(f871,plain,
! [X0,X1] :
( sP28(X1)
| sP28(X0)
| init = a_select3(id_ds1_filter_init,X1,sK30(X0)) ),
inference(subsumption_resolution,[],[f862,f178]) ).
fof(f178,plain,
! [X0] :
( leq(sK30(X0),n5)
| sP28(X0) ),
inference(consistent_polarity_flipping,[],[f37]) ).
fof(f37,plain,
! [X0] :
( leq(sK30(X0),n5)
| ~ sP28(X0) ),
inference(cnf_transformation,[],[f10]) ).
fof(f862,plain,
! [X0,X1] :
( ~ leq(sK30(X0),n5)
| init = a_select3(id_ds1_filter_init,X1,sK30(X0))
| sP28(X1)
| sP28(X0) ),
inference(resolution,[],[f582,f179]) ).
fof(f179,plain,
! [X0] :
( leq(n0,sK30(X0))
| sP28(X0) ),
inference(consistent_polarity_flipping,[],[f36]) ).
fof(f36,plain,
! [X0] :
( leq(n0,sK30(X0))
| ~ sP28(X0) ),
inference(cnf_transformation,[],[f10]) ).
fof(f582,plain,
! [X0,X1] :
( ~ leq(n0,X1)
| ~ leq(X1,n5)
| init = a_select3(id_ds1_filter_init,X0,X1)
| sP28(X0) ),
inference(subsumption_resolution,[],[f578,f175]) ).
fof(f175,plain,
! [X0] :
( leq(n0,X0)
| sP28(X0) ),
inference(consistent_polarity_flipping,[],[f40]) ).
fof(f40,plain,
! [X0] :
( leq(n0,X0)
| ~ sP28(X0) ),
inference(cnf_transformation,[],[f10]) ).
fof(f578,plain,
! [X0,X1] :
( ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| init = a_select3(id_ds1_filter_init,X0,X1)
| sP28(X0) ),
inference(resolution,[],[f110,f174]) ).
fof(f174,plain,
! [X0] :
( leq(X0,pred(sK0))
| sP28(X0) ),
inference(consistent_polarity_flipping,[],[f138]) ).
fof(f138,plain,
! [X0] :
( leq(X0,pred(sK0))
| ~ sP28(X0) ),
inference(definition_unfolding,[],[f41,f17]) ).
fof(f41,plain,
! [X0] :
( leq(X0,pred(pv63))
| ~ sP28(X0) ),
inference(cnf_transformation,[],[f10]) ).
fof(f110,plain,
! [X0,X1] :
( ~ leq(X0,pred(sK0))
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| init = a_select3(id_ds1_filter_init,X0,X1) ),
inference(definition_unfolding,[],[f11,f17]) ).
fof(f11,plain,
! [X0,X1] :
( ~ leq(n0,X0)
| ~ leq(X0,pred(pv63))
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| init = a_select3(id_ds1_filter_init,X0,X1) ),
inference(cnf_transformation,[],[f8]) ).
fof(f200,plain,
( ~ sP28(sK20)
| spl31_5 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f198,plain,
( spl31_5
<=> sP28(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_5])]) ).
fof(f322,plain,
~ spl31_19,
inference(avatar_split_clause,[],[f107,f254]) ).
fof(f254,plain,
( spl31_19
<=> pv64 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl31_19])]) ).
fof(f107,plain,
pv64 != sK0,
inference(definition_unfolding,[],[f29,f17]) ).
fof(f29,plain,
pv63 != pv64,
inference(cnf_transformation,[],[f8]) ).
fof(f321,plain,
spl31_15,
inference(avatar_split_clause,[],[f35,f238]) ).
fof(f238,plain,
( spl31_15
<=> leq(pv64,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_15])]) ).
fof(f35,plain,
leq(pv64,n5),
inference(cnf_transformation,[],[f8]) ).
fof(f320,plain,
spl31_16,
inference(avatar_split_clause,[],[f33,f242]) ).
fof(f242,plain,
( spl31_16
<=> leq(pv5,n998) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_16])]) ).
fof(f33,plain,
leq(pv5,n998),
inference(cnf_transformation,[],[f8]) ).
fof(f319,plain,
spl31_17,
inference(avatar_split_clause,[],[f32,f246]) ).
fof(f246,plain,
( spl31_17
<=> leq(n0,pv64) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_17])]) ).
fof(f32,plain,
leq(n0,pv64),
inference(cnf_transformation,[],[f8]) ).
fof(f318,plain,
spl31_18,
inference(avatar_split_clause,[],[f30,f250]) ).
fof(f250,plain,
( spl31_18
<=> leq(n0,pv5) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_18])]) ).
fof(f30,plain,
leq(n0,pv5),
inference(cnf_transformation,[],[f8]) ).
fof(f317,plain,
( ~ spl31_1
| spl31_28
| ~ spl31_3 ),
inference(avatar_split_clause,[],[f176,f188,f315,f181]) ).
fof(f181,plain,
( spl31_1
<=> leq(sK0,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1])]) ).
fof(f188,plain,
( spl31_3
<=> leq(n0,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_3])]) ).
fof(f176,plain,
! [X21] :
( ~ leq(n0,sK0)
| ~ leq(n0,X21)
| ~ leq(sK0,n5)
| ~ leq(X21,n5)
| pv64 = X21
| ~ leq(X21,pv64)
| init = a_select3(id_ds1_filter_init,sK0,X21)
| sP29(X21,sK0) ),
inference(consistent_polarity_flipping,[],[f141]) ).
fof(f141,plain,
! [X21] :
( ~ leq(n0,sK0)
| ~ leq(n0,X21)
| ~ leq(sK0,n5)
| ~ leq(X21,n5)
| pv64 = X21
| ~ leq(X21,pv64)
| init = a_select3(id_ds1_filter_init,sK0,X21)
| ~ sP29(X21,sK0) ),
inference(equality_resolution,[],[f139]) ).
fof(f139,plain,
! [X21,X20] :
( ~ leq(n0,X20)
| ~ leq(n0,X21)
| ~ leq(X20,n5)
| ~ leq(X21,n5)
| pv64 = X21
| sK0 != X20
| ~ leq(X21,pv64)
| init = a_select3(id_ds1_filter_init,X20,X21)
| ~ sP29(X21,X20) ),
inference(definition_unfolding,[],[f39,f17]) ).
fof(f39,plain,
! [X21,X20] :
( ~ leq(n0,X20)
| ~ leq(n0,X21)
| ~ leq(X20,n5)
| ~ leq(X21,n5)
| pv64 = X21
| pv63 != X20
| ~ leq(X21,pv64)
| init = a_select3(id_ds1_filter_init,X20,X21)
| ~ sP29(X21,X20) ),
inference(cnf_transformation,[],[f10]) ).
fof(f313,plain,
( spl31_4
| ~ spl31_5
| spl31_6
| ~ spl31_7
| spl31_8
| spl31_9
| spl31_10
| spl31_11
| spl31_12
| spl31_23
| ~ spl31_27
| ~ spl31_15
| ~ spl31_1
| ~ spl31_16
| ~ spl31_17
| ~ spl31_3
| ~ spl31_18
| spl31_19 ),
inference(avatar_split_clause,[],[f166,f254,f250,f188,f246,f242,f181,f238,f306,f274,f226,f222,f218,f214,f210,f206,f202,f198,f195]) ).
fof(f166,plain,
! [X21,X20] :
( pv64 = sK0
| ~ leq(n0,pv5)
| ~ leq(n0,sK0)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK0,n5)
| ~ leq(pv64,n5)
| init != a_select3(h_ds1_filter_init,sK2,sK3)
| leq(n0,sK4)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| ~ sP26(sK17,sK16)
| sP27(sK19,sK18)
| ~ sP28(sK20)
| ~ sP29(X21,X20) ),
inference(consistent_polarity_flipping,[],[f135]) ).
fof(f135,plain,
! [X21,X20] :
( pv64 = sK0
| ~ leq(n0,pv5)
| ~ leq(n0,sK0)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK0,n5)
| ~ leq(pv64,n5)
| init != a_select3(h_ds1_filter_init,sK2,sK3)
| leq(n0,sK4)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| sP26(sK17,sK16)
| sP27(sK19,sK18)
| sP28(sK20)
| sP29(X21,X20) ),
inference(definition_unfolding,[],[f80,f17,f17,f17]) ).
fof(f80,plain,
! [X21,X20] :
( pv63 = pv64
| ~ leq(n0,pv5)
| ~ leq(n0,pv63)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(pv63,n5)
| ~ leq(pv64,n5)
| init != a_select3(h_ds1_filter_init,sK2,sK3)
| leq(n0,sK4)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| sP26(sK17,sK16)
| sP27(sK19,sK18)
| sP28(sK20)
| sP29(X21,X20) ),
inference(cnf_transformation,[],[f10]) ).
fof(f312,plain,
( spl31_4
| ~ spl31_5
| spl31_6
| ~ spl31_7
| spl31_8
| spl31_9
| spl31_10
| spl31_11
| spl31_12
| spl31_22
| ~ spl31_27
| ~ spl31_15
| ~ spl31_1
| ~ spl31_16
| ~ spl31_17
| ~ spl31_3
| ~ spl31_18
| spl31_19 ),
inference(avatar_split_clause,[],[f165,f254,f250,f188,f246,f242,f181,f238,f306,f269,f226,f222,f218,f214,f210,f206,f202,f198,f195]) ).
fof(f165,plain,
! [X21,X20] :
( pv64 = sK0
| ~ leq(n0,pv5)
| ~ leq(n0,sK0)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK0,n5)
| ~ leq(pv64,n5)
| init != a_select3(h_ds1_filter_init,sK2,sK3)
| leq(n0,sK5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| ~ sP26(sK17,sK16)
| sP27(sK19,sK18)
| ~ sP28(sK20)
| ~ sP29(X21,X20) ),
inference(consistent_polarity_flipping,[],[f134]) ).
fof(f134,plain,
! [X21,X20] :
( pv64 = sK0
| ~ leq(n0,pv5)
| ~ leq(n0,sK0)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK0,n5)
| ~ leq(pv64,n5)
| init != a_select3(h_ds1_filter_init,sK2,sK3)
| leq(n0,sK5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| sP26(sK17,sK16)
| sP27(sK19,sK18)
| sP28(sK20)
| sP29(X21,X20) ),
inference(definition_unfolding,[],[f81,f17,f17,f17]) ).
fof(f81,plain,
! [X21,X20] :
( pv63 = pv64
| ~ leq(n0,pv5)
| ~ leq(n0,pv63)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(pv63,n5)
| ~ leq(pv64,n5)
| init != a_select3(h_ds1_filter_init,sK2,sK3)
| leq(n0,sK5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| sP26(sK17,sK16)
| sP27(sK19,sK18)
| sP28(sK20)
| sP29(X21,X20) ),
inference(cnf_transformation,[],[f10]) ).
fof(f311,plain,
( spl31_4
| ~ spl31_5
| spl31_6
| ~ spl31_7
| spl31_8
| spl31_9
| spl31_10
| spl31_11
| spl31_12
| spl31_21
| ~ spl31_27
| ~ spl31_15
| ~ spl31_1
| ~ spl31_16
| ~ spl31_17
| ~ spl31_3
| ~ spl31_18
| spl31_19 ),
inference(avatar_split_clause,[],[f164,f254,f250,f188,f246,f242,f181,f238,f306,f264,f226,f222,f218,f214,f210,f206,f202,f198,f195]) ).
fof(f164,plain,
! [X21,X20] :
( pv64 = sK0
| ~ leq(n0,pv5)
| ~ leq(n0,sK0)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK0,n5)
| ~ leq(pv64,n5)
| init != a_select3(h_ds1_filter_init,sK2,sK3)
| leq(sK4,n5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| ~ sP26(sK17,sK16)
| sP27(sK19,sK18)
| ~ sP28(sK20)
| ~ sP29(X21,X20) ),
inference(consistent_polarity_flipping,[],[f133]) ).
fof(f133,plain,
! [X21,X20] :
( pv64 = sK0
| ~ leq(n0,pv5)
| ~ leq(n0,sK0)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK0,n5)
| ~ leq(pv64,n5)
| init != a_select3(h_ds1_filter_init,sK2,sK3)
| leq(sK4,n5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| sP26(sK17,sK16)
| sP27(sK19,sK18)
| sP28(sK20)
| sP29(X21,X20) ),
inference(definition_unfolding,[],[f82,f17,f17,f17]) ).
fof(f82,plain,
! [X21,X20] :
( pv63 = pv64
| ~ leq(n0,pv5)
| ~ leq(n0,pv63)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(pv63,n5)
| ~ leq(pv64,n5)
| init != a_select3(h_ds1_filter_init,sK2,sK3)
| leq(sK4,n5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| sP26(sK17,sK16)
| sP27(sK19,sK18)
| sP28(sK20)
| sP29(X21,X20) ),
inference(cnf_transformation,[],[f10]) ).
fof(f310,plain,
( spl31_4
| ~ spl31_5
| spl31_6
| ~ spl31_7
| spl31_8
| spl31_9
| spl31_10
| spl31_11
| spl31_12
| spl31_20
| ~ spl31_27
| ~ spl31_15
| ~ spl31_1
| ~ spl31_16
| ~ spl31_17
| ~ spl31_3
| ~ spl31_18
| spl31_19 ),
inference(avatar_split_clause,[],[f163,f254,f250,f188,f246,f242,f181,f238,f306,f259,f226,f222,f218,f214,f210,f206,f202,f198,f195]) ).
fof(f163,plain,
! [X21,X20] :
( pv64 = sK0
| ~ leq(n0,pv5)
| ~ leq(n0,sK0)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK0,n5)
| ~ leq(pv64,n5)
| init != a_select3(h_ds1_filter_init,sK2,sK3)
| leq(sK5,n5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| ~ sP26(sK17,sK16)
| sP27(sK19,sK18)
| ~ sP28(sK20)
| ~ sP29(X21,X20) ),
inference(consistent_polarity_flipping,[],[f132]) ).
fof(f132,plain,
! [X21,X20] :
( pv64 = sK0
| ~ leq(n0,pv5)
| ~ leq(n0,sK0)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK0,n5)
| ~ leq(pv64,n5)
| init != a_select3(h_ds1_filter_init,sK2,sK3)
| leq(sK5,n5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| sP26(sK17,sK16)
| sP27(sK19,sK18)
| sP28(sK20)
| sP29(X21,X20) ),
inference(definition_unfolding,[],[f83,f17,f17,f17]) ).
fof(f83,plain,
! [X21,X20] :
( pv63 = pv64
| ~ leq(n0,pv5)
| ~ leq(n0,pv63)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(pv63,n5)
| ~ leq(pv64,n5)
| init != a_select3(h_ds1_filter_init,sK2,sK3)
| leq(sK5,n5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| sP26(sK17,sK16)
| sP27(sK19,sK18)
| sP28(sK20)
| sP29(X21,X20) ),
inference(cnf_transformation,[],[f10]) ).
fof(f309,plain,
( spl31_4
| ~ spl31_5
| spl31_6
| ~ spl31_7
| spl31_8
| spl31_9
| spl31_10
| spl31_11
| spl31_12
| ~ spl31_13
| ~ spl31_27
| ~ spl31_15
| ~ spl31_1
| ~ spl31_16
| ~ spl31_17
| ~ spl31_3
| ~ spl31_18
| spl31_19 ),
inference(avatar_split_clause,[],[f162,f254,f250,f188,f246,f242,f181,f238,f306,f230,f226,f222,f218,f214,f210,f206,f202,f198,f195]) ).
fof(f162,plain,
! [X21,X20] :
( pv64 = sK0
| ~ leq(n0,pv5)
| ~ leq(n0,sK0)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK0,n5)
| ~ leq(pv64,n5)
| init != a_select3(h_ds1_filter_init,sK2,sK3)
| init != a_select3(phi_ds1_filter_init,sK4,sK5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| ~ sP26(sK17,sK16)
| sP27(sK19,sK18)
| ~ sP28(sK20)
| ~ sP29(X21,X20) ),
inference(consistent_polarity_flipping,[],[f131]) ).
fof(f131,plain,
! [X21,X20] :
( pv64 = sK0
| ~ leq(n0,pv5)
| ~ leq(n0,sK0)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK0,n5)
| ~ leq(pv64,n5)
| init != a_select3(h_ds1_filter_init,sK2,sK3)
| init != a_select3(phi_ds1_filter_init,sK4,sK5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| sP26(sK17,sK16)
| sP27(sK19,sK18)
| sP28(sK20)
| sP29(X21,X20) ),
inference(definition_unfolding,[],[f84,f17,f17,f17]) ).
fof(f84,plain,
! [X21,X20] :
( pv63 = pv64
| ~ leq(n0,pv5)
| ~ leq(n0,pv63)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(pv63,n5)
| ~ leq(pv64,n5)
| init != a_select3(h_ds1_filter_init,sK2,sK3)
| init != a_select3(phi_ds1_filter_init,sK4,sK5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| sP26(sK17,sK16)
| sP27(sK19,sK18)
| sP28(sK20)
| sP29(X21,X20) ),
inference(cnf_transformation,[],[f10]) ).
fof(f304,plain,
( spl31_4
| ~ spl31_5
| spl31_6
| ~ spl31_7
| spl31_8
| spl31_9
| spl31_10
| spl31_11
| spl31_12
| spl31_23
| spl31_26
| ~ spl31_15
| ~ spl31_1
| ~ spl31_16
| ~ spl31_17
| ~ spl31_3
| ~ spl31_18
| spl31_19 ),
inference(avatar_split_clause,[],[f161,f254,f250,f188,f246,f242,f181,f238,f297,f274,f226,f222,f218,f214,f210,f206,f202,f198,f195]) ).
fof(f161,plain,
! [X21,X20] :
( pv64 = sK0
| ~ leq(n0,pv5)
| ~ leq(n0,sK0)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK0,n5)
| ~ leq(pv64,n5)
| leq(sK3,n5)
| leq(n0,sK4)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| ~ sP26(sK17,sK16)
| sP27(sK19,sK18)
| ~ sP28(sK20)
| ~ sP29(X21,X20) ),
inference(consistent_polarity_flipping,[],[f130]) ).
fof(f130,plain,
! [X21,X20] :
( pv64 = sK0
| ~ leq(n0,pv5)
| ~ leq(n0,sK0)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK0,n5)
| ~ leq(pv64,n5)
| leq(sK3,n5)
| leq(n0,sK4)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| sP26(sK17,sK16)
| sP27(sK19,sK18)
| sP28(sK20)
| sP29(X21,X20) ),
inference(definition_unfolding,[],[f85,f17,f17,f17]) ).
fof(f85,plain,
! [X21,X20] :
( pv63 = pv64
| ~ leq(n0,pv5)
| ~ leq(n0,pv63)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(pv63,n5)
| ~ leq(pv64,n5)
| leq(sK3,n5)
| leq(n0,sK4)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| sP26(sK17,sK16)
| sP27(sK19,sK18)
| sP28(sK20)
| sP29(X21,X20) ),
inference(cnf_transformation,[],[f10]) ).
fof(f303,plain,
( spl31_4
| ~ spl31_5
| spl31_6
| ~ spl31_7
| spl31_8
| spl31_9
| spl31_10
| spl31_11
| spl31_12
| spl31_22
| spl31_26
| ~ spl31_15
| ~ spl31_1
| ~ spl31_16
| ~ spl31_17
| ~ spl31_3
| ~ spl31_18
| spl31_19 ),
inference(avatar_split_clause,[],[f160,f254,f250,f188,f246,f242,f181,f238,f297,f269,f226,f222,f218,f214,f210,f206,f202,f198,f195]) ).
fof(f160,plain,
! [X21,X20] :
( pv64 = sK0
| ~ leq(n0,pv5)
| ~ leq(n0,sK0)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK0,n5)
| ~ leq(pv64,n5)
| leq(sK3,n5)
| leq(n0,sK5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| ~ sP26(sK17,sK16)
| sP27(sK19,sK18)
| ~ sP28(sK20)
| ~ sP29(X21,X20) ),
inference(consistent_polarity_flipping,[],[f129]) ).
fof(f129,plain,
! [X21,X20] :
( pv64 = sK0
| ~ leq(n0,pv5)
| ~ leq(n0,sK0)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK0,n5)
| ~ leq(pv64,n5)
| leq(sK3,n5)
| leq(n0,sK5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| sP26(sK17,sK16)
| sP27(sK19,sK18)
| sP28(sK20)
| sP29(X21,X20) ),
inference(definition_unfolding,[],[f86,f17,f17,f17]) ).
fof(f86,plain,
! [X21,X20] :
( pv63 = pv64
| ~ leq(n0,pv5)
| ~ leq(n0,pv63)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(pv63,n5)
| ~ leq(pv64,n5)
| leq(sK3,n5)
| leq(n0,sK5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| sP26(sK17,sK16)
| sP27(sK19,sK18)
| sP28(sK20)
| sP29(X21,X20) ),
inference(cnf_transformation,[],[f10]) ).
fof(f302,plain,
( spl31_4
| ~ spl31_5
| spl31_6
| ~ spl31_7
| spl31_8
| spl31_9
| spl31_10
| spl31_11
| spl31_12
| spl31_21
| spl31_26
| ~ spl31_15
| ~ spl31_1
| ~ spl31_16
| ~ spl31_17
| ~ spl31_3
| ~ spl31_18
| spl31_19 ),
inference(avatar_split_clause,[],[f159,f254,f250,f188,f246,f242,f181,f238,f297,f264,f226,f222,f218,f214,f210,f206,f202,f198,f195]) ).
fof(f159,plain,
! [X21,X20] :
( pv64 = sK0
| ~ leq(n0,pv5)
| ~ leq(n0,sK0)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK0,n5)
| ~ leq(pv64,n5)
| leq(sK3,n5)
| leq(sK4,n5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| ~ sP26(sK17,sK16)
| sP27(sK19,sK18)
| ~ sP28(sK20)
| ~ sP29(X21,X20) ),
inference(consistent_polarity_flipping,[],[f128]) ).
fof(f128,plain,
! [X21,X20] :
( pv64 = sK0
| ~ leq(n0,pv5)
| ~ leq(n0,sK0)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK0,n5)
| ~ leq(pv64,n5)
| leq(sK3,n5)
| leq(sK4,n5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| sP26(sK17,sK16)
| sP27(sK19,sK18)
| sP28(sK20)
| sP29(X21,X20) ),
inference(definition_unfolding,[],[f87,f17,f17,f17]) ).
fof(f87,plain,
! [X21,X20] :
( pv63 = pv64
| ~ leq(n0,pv5)
| ~ leq(n0,pv63)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(pv63,n5)
| ~ leq(pv64,n5)
| leq(sK3,n5)
| leq(sK4,n5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| sP26(sK17,sK16)
| sP27(sK19,sK18)
| sP28(sK20)
| sP29(X21,X20) ),
inference(cnf_transformation,[],[f10]) ).
fof(f301,plain,
( spl31_4
| ~ spl31_5
| spl31_6
| ~ spl31_7
| spl31_8
| spl31_9
| spl31_10
| spl31_11
| spl31_12
| spl31_20
| spl31_26
| ~ spl31_15
| ~ spl31_1
| ~ spl31_16
| ~ spl31_17
| ~ spl31_3
| ~ spl31_18
| spl31_19 ),
inference(avatar_split_clause,[],[f158,f254,f250,f188,f246,f242,f181,f238,f297,f259,f226,f222,f218,f214,f210,f206,f202,f198,f195]) ).
fof(f158,plain,
! [X21,X20] :
( pv64 = sK0
| ~ leq(n0,pv5)
| ~ leq(n0,sK0)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK0,n5)
| ~ leq(pv64,n5)
| leq(sK3,n5)
| leq(sK5,n5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| ~ sP26(sK17,sK16)
| sP27(sK19,sK18)
| ~ sP28(sK20)
| ~ sP29(X21,X20) ),
inference(consistent_polarity_flipping,[],[f127]) ).
fof(f127,plain,
! [X21,X20] :
( pv64 = sK0
| ~ leq(n0,pv5)
| ~ leq(n0,sK0)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK0,n5)
| ~ leq(pv64,n5)
| leq(sK3,n5)
| leq(sK5,n5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| sP26(sK17,sK16)
| sP27(sK19,sK18)
| sP28(sK20)
| sP29(X21,X20) ),
inference(definition_unfolding,[],[f88,f17,f17,f17]) ).
fof(f88,plain,
! [X21,X20] :
( pv63 = pv64
| ~ leq(n0,pv5)
| ~ leq(n0,pv63)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(pv63,n5)
| ~ leq(pv64,n5)
| leq(sK3,n5)
| leq(sK5,n5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| sP26(sK17,sK16)
| sP27(sK19,sK18)
| sP28(sK20)
| sP29(X21,X20) ),
inference(cnf_transformation,[],[f10]) ).
fof(f300,plain,
( spl31_4
| ~ spl31_5
| spl31_6
| ~ spl31_7
| spl31_8
| spl31_9
| spl31_10
| spl31_11
| spl31_12
| ~ spl31_13
| spl31_26
| ~ spl31_15
| ~ spl31_1
| ~ spl31_16
| ~ spl31_17
| ~ spl31_3
| ~ spl31_18
| spl31_19 ),
inference(avatar_split_clause,[],[f157,f254,f250,f188,f246,f242,f181,f238,f297,f230,f226,f222,f218,f214,f210,f206,f202,f198,f195]) ).
fof(f157,plain,
! [X21,X20] :
( pv64 = sK0
| ~ leq(n0,pv5)
| ~ leq(n0,sK0)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK0,n5)
| ~ leq(pv64,n5)
| leq(sK3,n5)
| init != a_select3(phi_ds1_filter_init,sK4,sK5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| ~ sP26(sK17,sK16)
| sP27(sK19,sK18)
| ~ sP28(sK20)
| ~ sP29(X21,X20) ),
inference(consistent_polarity_flipping,[],[f126]) ).
fof(f126,plain,
! [X21,X20] :
( pv64 = sK0
| ~ leq(n0,pv5)
| ~ leq(n0,sK0)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK0,n5)
| ~ leq(pv64,n5)
| leq(sK3,n5)
| init != a_select3(phi_ds1_filter_init,sK4,sK5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| sP26(sK17,sK16)
| sP27(sK19,sK18)
| sP28(sK20)
| sP29(X21,X20) ),
inference(definition_unfolding,[],[f89,f17,f17,f17]) ).
fof(f89,plain,
! [X21,X20] :
( pv63 = pv64
| ~ leq(n0,pv5)
| ~ leq(n0,pv63)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(pv63,n5)
| ~ leq(pv64,n5)
| leq(sK3,n5)
| init != a_select3(phi_ds1_filter_init,sK4,sK5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| sP26(sK17,sK16)
| sP27(sK19,sK18)
| sP28(sK20)
| sP29(X21,X20) ),
inference(cnf_transformation,[],[f10]) ).
fof(f295,plain,
( spl31_4
| ~ spl31_5
| spl31_6
| ~ spl31_7
| spl31_8
| spl31_9
| spl31_10
| spl31_11
| spl31_12
| spl31_23
| spl31_25
| ~ spl31_15
| ~ spl31_1
| ~ spl31_16
| ~ spl31_17
| ~ spl31_3
| ~ spl31_18
| spl31_19 ),
inference(avatar_split_clause,[],[f156,f254,f250,f188,f246,f242,f181,f238,f288,f274,f226,f222,f218,f214,f210,f206,f202,f198,f195]) ).
fof(f156,plain,
! [X21,X20] :
( pv64 = sK0
| ~ leq(n0,pv5)
| ~ leq(n0,sK0)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK0,n5)
| ~ leq(pv64,n5)
| leq(sK2,n2)
| leq(n0,sK4)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| ~ sP26(sK17,sK16)
| sP27(sK19,sK18)
| ~ sP28(sK20)
| ~ sP29(X21,X20) ),
inference(consistent_polarity_flipping,[],[f125]) ).
fof(f125,plain,
! [X21,X20] :
( pv64 = sK0
| ~ leq(n0,pv5)
| ~ leq(n0,sK0)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK0,n5)
| ~ leq(pv64,n5)
| leq(sK2,n2)
| leq(n0,sK4)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| sP26(sK17,sK16)
| sP27(sK19,sK18)
| sP28(sK20)
| sP29(X21,X20) ),
inference(definition_unfolding,[],[f90,f17,f17,f17]) ).
fof(f90,plain,
! [X21,X20] :
( pv63 = pv64
| ~ leq(n0,pv5)
| ~ leq(n0,pv63)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(pv63,n5)
| ~ leq(pv64,n5)
| leq(sK2,n2)
| leq(n0,sK4)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| sP26(sK17,sK16)
| sP27(sK19,sK18)
| sP28(sK20)
| sP29(X21,X20) ),
inference(cnf_transformation,[],[f10]) ).
fof(f294,plain,
( spl31_4
| ~ spl31_5
| spl31_6
| ~ spl31_7
| spl31_8
| spl31_9
| spl31_10
| spl31_11
| spl31_12
| spl31_22
| spl31_25
| ~ spl31_15
| ~ spl31_1
| ~ spl31_16
| ~ spl31_17
| ~ spl31_3
| ~ spl31_18
| spl31_19 ),
inference(avatar_split_clause,[],[f155,f254,f250,f188,f246,f242,f181,f238,f288,f269,f226,f222,f218,f214,f210,f206,f202,f198,f195]) ).
fof(f155,plain,
! [X21,X20] :
( pv64 = sK0
| ~ leq(n0,pv5)
| ~ leq(n0,sK0)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK0,n5)
| ~ leq(pv64,n5)
| leq(sK2,n2)
| leq(n0,sK5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| ~ sP26(sK17,sK16)
| sP27(sK19,sK18)
| ~ sP28(sK20)
| ~ sP29(X21,X20) ),
inference(consistent_polarity_flipping,[],[f124]) ).
fof(f124,plain,
! [X21,X20] :
( pv64 = sK0
| ~ leq(n0,pv5)
| ~ leq(n0,sK0)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK0,n5)
| ~ leq(pv64,n5)
| leq(sK2,n2)
| leq(n0,sK5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| sP26(sK17,sK16)
| sP27(sK19,sK18)
| sP28(sK20)
| sP29(X21,X20) ),
inference(definition_unfolding,[],[f91,f17,f17,f17]) ).
fof(f91,plain,
! [X21,X20] :
( pv63 = pv64
| ~ leq(n0,pv5)
| ~ leq(n0,pv63)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(pv63,n5)
| ~ leq(pv64,n5)
| leq(sK2,n2)
| leq(n0,sK5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| sP26(sK17,sK16)
| sP27(sK19,sK18)
| sP28(sK20)
| sP29(X21,X20) ),
inference(cnf_transformation,[],[f10]) ).
fof(f293,plain,
( spl31_4
| ~ spl31_5
| spl31_6
| ~ spl31_7
| spl31_8
| spl31_9
| spl31_10
| spl31_11
| spl31_12
| spl31_21
| spl31_25
| ~ spl31_15
| ~ spl31_1
| ~ spl31_16
| ~ spl31_17
| ~ spl31_3
| ~ spl31_18
| spl31_19 ),
inference(avatar_split_clause,[],[f154,f254,f250,f188,f246,f242,f181,f238,f288,f264,f226,f222,f218,f214,f210,f206,f202,f198,f195]) ).
fof(f154,plain,
! [X21,X20] :
( pv64 = sK0
| ~ leq(n0,pv5)
| ~ leq(n0,sK0)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK0,n5)
| ~ leq(pv64,n5)
| leq(sK2,n2)
| leq(sK4,n5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| ~ sP26(sK17,sK16)
| sP27(sK19,sK18)
| ~ sP28(sK20)
| ~ sP29(X21,X20) ),
inference(consistent_polarity_flipping,[],[f123]) ).
fof(f123,plain,
! [X21,X20] :
( pv64 = sK0
| ~ leq(n0,pv5)
| ~ leq(n0,sK0)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK0,n5)
| ~ leq(pv64,n5)
| leq(sK2,n2)
| leq(sK4,n5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| sP26(sK17,sK16)
| sP27(sK19,sK18)
| sP28(sK20)
| sP29(X21,X20) ),
inference(definition_unfolding,[],[f92,f17,f17,f17]) ).
fof(f92,plain,
! [X21,X20] :
( pv63 = pv64
| ~ leq(n0,pv5)
| ~ leq(n0,pv63)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(pv63,n5)
| ~ leq(pv64,n5)
| leq(sK2,n2)
| leq(sK4,n5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| sP26(sK17,sK16)
| sP27(sK19,sK18)
| sP28(sK20)
| sP29(X21,X20) ),
inference(cnf_transformation,[],[f10]) ).
fof(f292,plain,
( spl31_4
| ~ spl31_5
| spl31_6
| ~ spl31_7
| spl31_8
| spl31_9
| spl31_10
| spl31_11
| spl31_12
| spl31_20
| spl31_25
| ~ spl31_15
| ~ spl31_1
| ~ spl31_16
| ~ spl31_17
| ~ spl31_3
| ~ spl31_18
| spl31_19 ),
inference(avatar_split_clause,[],[f153,f254,f250,f188,f246,f242,f181,f238,f288,f259,f226,f222,f218,f214,f210,f206,f202,f198,f195]) ).
fof(f153,plain,
! [X21,X20] :
( pv64 = sK0
| ~ leq(n0,pv5)
| ~ leq(n0,sK0)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK0,n5)
| ~ leq(pv64,n5)
| leq(sK2,n2)
| leq(sK5,n5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| ~ sP26(sK17,sK16)
| sP27(sK19,sK18)
| ~ sP28(sK20)
| ~ sP29(X21,X20) ),
inference(consistent_polarity_flipping,[],[f122]) ).
fof(f122,plain,
! [X21,X20] :
( pv64 = sK0
| ~ leq(n0,pv5)
| ~ leq(n0,sK0)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK0,n5)
| ~ leq(pv64,n5)
| leq(sK2,n2)
| leq(sK5,n5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| sP26(sK17,sK16)
| sP27(sK19,sK18)
| sP28(sK20)
| sP29(X21,X20) ),
inference(definition_unfolding,[],[f93,f17,f17,f17]) ).
fof(f93,plain,
! [X21,X20] :
( pv63 = pv64
| ~ leq(n0,pv5)
| ~ leq(n0,pv63)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(pv63,n5)
| ~ leq(pv64,n5)
| leq(sK2,n2)
| leq(sK5,n5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| sP26(sK17,sK16)
| sP27(sK19,sK18)
| sP28(sK20)
| sP29(X21,X20) ),
inference(cnf_transformation,[],[f10]) ).
fof(f291,plain,
( spl31_4
| ~ spl31_5
| spl31_6
| ~ spl31_7
| spl31_8
| spl31_9
| spl31_10
| spl31_11
| spl31_12
| ~ spl31_13
| spl31_25
| ~ spl31_15
| ~ spl31_1
| ~ spl31_16
| ~ spl31_17
| ~ spl31_3
| ~ spl31_18
| spl31_19 ),
inference(avatar_split_clause,[],[f152,f254,f250,f188,f246,f242,f181,f238,f288,f230,f226,f222,f218,f214,f210,f206,f202,f198,f195]) ).
fof(f152,plain,
! [X21,X20] :
( pv64 = sK0
| ~ leq(n0,pv5)
| ~ leq(n0,sK0)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK0,n5)
| ~ leq(pv64,n5)
| leq(sK2,n2)
| init != a_select3(phi_ds1_filter_init,sK4,sK5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| ~ sP26(sK17,sK16)
| sP27(sK19,sK18)
| ~ sP28(sK20)
| ~ sP29(X21,X20) ),
inference(consistent_polarity_flipping,[],[f121]) ).
fof(f121,plain,
! [X21,X20] :
( pv64 = sK0
| ~ leq(n0,pv5)
| ~ leq(n0,sK0)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK0,n5)
| ~ leq(pv64,n5)
| leq(sK2,n2)
| init != a_select3(phi_ds1_filter_init,sK4,sK5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| sP26(sK17,sK16)
| sP27(sK19,sK18)
| sP28(sK20)
| sP29(X21,X20) ),
inference(definition_unfolding,[],[f94,f17,f17,f17]) ).
fof(f94,plain,
! [X21,X20] :
( pv63 = pv64
| ~ leq(n0,pv5)
| ~ leq(n0,pv63)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(pv63,n5)
| ~ leq(pv64,n5)
| leq(sK2,n2)
| init != a_select3(phi_ds1_filter_init,sK4,sK5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| sP26(sK17,sK16)
| sP27(sK19,sK18)
| sP28(sK20)
| sP29(X21,X20) ),
inference(cnf_transformation,[],[f10]) ).
fof(f286,plain,
( spl31_4
| ~ spl31_5
| spl31_6
| ~ spl31_7
| spl31_8
| spl31_9
| spl31_10
| spl31_11
| spl31_12
| spl31_23
| spl31_24
| ~ spl31_15
| ~ spl31_1
| ~ spl31_16
| ~ spl31_17
| ~ spl31_3
| ~ spl31_18
| spl31_19 ),
inference(avatar_split_clause,[],[f151,f254,f250,f188,f246,f242,f181,f238,f279,f274,f226,f222,f218,f214,f210,f206,f202,f198,f195]) ).
fof(f151,plain,
! [X21,X20] :
( pv64 = sK0
| ~ leq(n0,pv5)
| ~ leq(n0,sK0)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK0,n5)
| ~ leq(pv64,n5)
| leq(n0,sK3)
| leq(n0,sK4)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| ~ sP26(sK17,sK16)
| sP27(sK19,sK18)
| ~ sP28(sK20)
| ~ sP29(X21,X20) ),
inference(consistent_polarity_flipping,[],[f120]) ).
fof(f120,plain,
! [X21,X20] :
( pv64 = sK0
| ~ leq(n0,pv5)
| ~ leq(n0,sK0)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK0,n5)
| ~ leq(pv64,n5)
| leq(n0,sK3)
| leq(n0,sK4)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| sP26(sK17,sK16)
| sP27(sK19,sK18)
| sP28(sK20)
| sP29(X21,X20) ),
inference(definition_unfolding,[],[f95,f17,f17,f17]) ).
fof(f95,plain,
! [X21,X20] :
( pv63 = pv64
| ~ leq(n0,pv5)
| ~ leq(n0,pv63)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(pv63,n5)
| ~ leq(pv64,n5)
| leq(n0,sK3)
| leq(n0,sK4)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| sP26(sK17,sK16)
| sP27(sK19,sK18)
| sP28(sK20)
| sP29(X21,X20) ),
inference(cnf_transformation,[],[f10]) ).
fof(f285,plain,
( spl31_4
| ~ spl31_5
| spl31_6
| ~ spl31_7
| spl31_8
| spl31_9
| spl31_10
| spl31_11
| spl31_12
| spl31_22
| spl31_24
| ~ spl31_15
| ~ spl31_1
| ~ spl31_16
| ~ spl31_17
| ~ spl31_3
| ~ spl31_18
| spl31_19 ),
inference(avatar_split_clause,[],[f150,f254,f250,f188,f246,f242,f181,f238,f279,f269,f226,f222,f218,f214,f210,f206,f202,f198,f195]) ).
fof(f150,plain,
! [X21,X20] :
( pv64 = sK0
| ~ leq(n0,pv5)
| ~ leq(n0,sK0)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK0,n5)
| ~ leq(pv64,n5)
| leq(n0,sK3)
| leq(n0,sK5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| ~ sP26(sK17,sK16)
| sP27(sK19,sK18)
| ~ sP28(sK20)
| ~ sP29(X21,X20) ),
inference(consistent_polarity_flipping,[],[f119]) ).
fof(f119,plain,
! [X21,X20] :
( pv64 = sK0
| ~ leq(n0,pv5)
| ~ leq(n0,sK0)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK0,n5)
| ~ leq(pv64,n5)
| leq(n0,sK3)
| leq(n0,sK5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| sP26(sK17,sK16)
| sP27(sK19,sK18)
| sP28(sK20)
| sP29(X21,X20) ),
inference(definition_unfolding,[],[f96,f17,f17,f17]) ).
fof(f96,plain,
! [X21,X20] :
( pv63 = pv64
| ~ leq(n0,pv5)
| ~ leq(n0,pv63)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(pv63,n5)
| ~ leq(pv64,n5)
| leq(n0,sK3)
| leq(n0,sK5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| sP26(sK17,sK16)
| sP27(sK19,sK18)
| sP28(sK20)
| sP29(X21,X20) ),
inference(cnf_transformation,[],[f10]) ).
fof(f284,plain,
( spl31_4
| ~ spl31_5
| spl31_6
| ~ spl31_7
| spl31_8
| spl31_9
| spl31_10
| spl31_11
| spl31_12
| spl31_21
| spl31_24
| ~ spl31_15
| ~ spl31_1
| ~ spl31_16
| ~ spl31_17
| ~ spl31_3
| ~ spl31_18
| spl31_19 ),
inference(avatar_split_clause,[],[f149,f254,f250,f188,f246,f242,f181,f238,f279,f264,f226,f222,f218,f214,f210,f206,f202,f198,f195]) ).
fof(f149,plain,
! [X21,X20] :
( pv64 = sK0
| ~ leq(n0,pv5)
| ~ leq(n0,sK0)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK0,n5)
| ~ leq(pv64,n5)
| leq(n0,sK3)
| leq(sK4,n5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| ~ sP26(sK17,sK16)
| sP27(sK19,sK18)
| ~ sP28(sK20)
| ~ sP29(X21,X20) ),
inference(consistent_polarity_flipping,[],[f118]) ).
fof(f118,plain,
! [X21,X20] :
( pv64 = sK0
| ~ leq(n0,pv5)
| ~ leq(n0,sK0)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK0,n5)
| ~ leq(pv64,n5)
| leq(n0,sK3)
| leq(sK4,n5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| sP26(sK17,sK16)
| sP27(sK19,sK18)
| sP28(sK20)
| sP29(X21,X20) ),
inference(definition_unfolding,[],[f97,f17,f17,f17]) ).
fof(f97,plain,
! [X21,X20] :
( pv63 = pv64
| ~ leq(n0,pv5)
| ~ leq(n0,pv63)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(pv63,n5)
| ~ leq(pv64,n5)
| leq(n0,sK3)
| leq(sK4,n5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| sP26(sK17,sK16)
| sP27(sK19,sK18)
| sP28(sK20)
| sP29(X21,X20) ),
inference(cnf_transformation,[],[f10]) ).
fof(f283,plain,
( spl31_4
| ~ spl31_5
| spl31_6
| ~ spl31_7
| spl31_8
| spl31_9
| spl31_10
| spl31_11
| spl31_12
| spl31_20
| spl31_24
| ~ spl31_15
| ~ spl31_1
| ~ spl31_16
| ~ spl31_17
| ~ spl31_3
| ~ spl31_18
| spl31_19 ),
inference(avatar_split_clause,[],[f148,f254,f250,f188,f246,f242,f181,f238,f279,f259,f226,f222,f218,f214,f210,f206,f202,f198,f195]) ).
fof(f148,plain,
! [X21,X20] :
( pv64 = sK0
| ~ leq(n0,pv5)
| ~ leq(n0,sK0)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK0,n5)
| ~ leq(pv64,n5)
| leq(n0,sK3)
| leq(sK5,n5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| ~ sP26(sK17,sK16)
| sP27(sK19,sK18)
| ~ sP28(sK20)
| ~ sP29(X21,X20) ),
inference(consistent_polarity_flipping,[],[f117]) ).
fof(f117,plain,
! [X21,X20] :
( pv64 = sK0
| ~ leq(n0,pv5)
| ~ leq(n0,sK0)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK0,n5)
| ~ leq(pv64,n5)
| leq(n0,sK3)
| leq(sK5,n5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| sP26(sK17,sK16)
| sP27(sK19,sK18)
| sP28(sK20)
| sP29(X21,X20) ),
inference(definition_unfolding,[],[f98,f17,f17,f17]) ).
fof(f98,plain,
! [X21,X20] :
( pv63 = pv64
| ~ leq(n0,pv5)
| ~ leq(n0,pv63)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(pv63,n5)
| ~ leq(pv64,n5)
| leq(n0,sK3)
| leq(sK5,n5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| sP26(sK17,sK16)
| sP27(sK19,sK18)
| sP28(sK20)
| sP29(X21,X20) ),
inference(cnf_transformation,[],[f10]) ).
fof(f282,plain,
( spl31_4
| ~ spl31_5
| spl31_6
| ~ spl31_7
| spl31_8
| spl31_9
| spl31_10
| spl31_11
| spl31_12
| ~ spl31_13
| spl31_24
| ~ spl31_15
| ~ spl31_1
| ~ spl31_16
| ~ spl31_17
| ~ spl31_3
| ~ spl31_18
| spl31_19 ),
inference(avatar_split_clause,[],[f147,f254,f250,f188,f246,f242,f181,f238,f279,f230,f226,f222,f218,f214,f210,f206,f202,f198,f195]) ).
fof(f147,plain,
! [X21,X20] :
( pv64 = sK0
| ~ leq(n0,pv5)
| ~ leq(n0,sK0)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK0,n5)
| ~ leq(pv64,n5)
| leq(n0,sK3)
| init != a_select3(phi_ds1_filter_init,sK4,sK5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| ~ sP26(sK17,sK16)
| sP27(sK19,sK18)
| ~ sP28(sK20)
| ~ sP29(X21,X20) ),
inference(consistent_polarity_flipping,[],[f116]) ).
fof(f116,plain,
! [X21,X20] :
( pv64 = sK0
| ~ leq(n0,pv5)
| ~ leq(n0,sK0)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK0,n5)
| ~ leq(pv64,n5)
| leq(n0,sK3)
| init != a_select3(phi_ds1_filter_init,sK4,sK5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| sP26(sK17,sK16)
| sP27(sK19,sK18)
| sP28(sK20)
| sP29(X21,X20) ),
inference(definition_unfolding,[],[f99,f17,f17,f17]) ).
fof(f99,plain,
! [X21,X20] :
( pv63 = pv64
| ~ leq(n0,pv5)
| ~ leq(n0,pv63)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(pv63,n5)
| ~ leq(pv64,n5)
| leq(n0,sK3)
| init != a_select3(phi_ds1_filter_init,sK4,sK5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| sP26(sK17,sK16)
| sP27(sK19,sK18)
| sP28(sK20)
| sP29(X21,X20) ),
inference(cnf_transformation,[],[f10]) ).
fof(f277,plain,
( spl31_4
| ~ spl31_5
| spl31_6
| ~ spl31_7
| spl31_8
| spl31_9
| spl31_10
| spl31_11
| spl31_12
| spl31_23
| spl31_14
| ~ spl31_15
| ~ spl31_1
| ~ spl31_16
| ~ spl31_17
| ~ spl31_3
| ~ spl31_18
| spl31_19 ),
inference(avatar_split_clause,[],[f146,f254,f250,f188,f246,f242,f181,f238,f234,f274,f226,f222,f218,f214,f210,f206,f202,f198,f195]) ).
fof(f146,plain,
! [X21,X20] :
( pv64 = sK0
| ~ leq(n0,pv5)
| ~ leq(n0,sK0)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK0,n5)
| ~ leq(pv64,n5)
| leq(n0,sK2)
| leq(n0,sK4)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| ~ sP26(sK17,sK16)
| sP27(sK19,sK18)
| ~ sP28(sK20)
| ~ sP29(X21,X20) ),
inference(consistent_polarity_flipping,[],[f115]) ).
fof(f115,plain,
! [X21,X20] :
( pv64 = sK0
| ~ leq(n0,pv5)
| ~ leq(n0,sK0)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK0,n5)
| ~ leq(pv64,n5)
| leq(n0,sK2)
| leq(n0,sK4)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| sP26(sK17,sK16)
| sP27(sK19,sK18)
| sP28(sK20)
| sP29(X21,X20) ),
inference(definition_unfolding,[],[f100,f17,f17,f17]) ).
fof(f100,plain,
! [X21,X20] :
( pv63 = pv64
| ~ leq(n0,pv5)
| ~ leq(n0,pv63)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(pv63,n5)
| ~ leq(pv64,n5)
| leq(n0,sK2)
| leq(n0,sK4)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| sP26(sK17,sK16)
| sP27(sK19,sK18)
| sP28(sK20)
| sP29(X21,X20) ),
inference(cnf_transformation,[],[f10]) ).
fof(f272,plain,
( spl31_4
| ~ spl31_5
| spl31_6
| ~ spl31_7
| spl31_8
| spl31_9
| spl31_10
| spl31_11
| spl31_12
| spl31_22
| spl31_14
| ~ spl31_15
| ~ spl31_1
| ~ spl31_16
| ~ spl31_17
| ~ spl31_3
| ~ spl31_18
| spl31_19 ),
inference(avatar_split_clause,[],[f145,f254,f250,f188,f246,f242,f181,f238,f234,f269,f226,f222,f218,f214,f210,f206,f202,f198,f195]) ).
fof(f145,plain,
! [X21,X20] :
( pv64 = sK0
| ~ leq(n0,pv5)
| ~ leq(n0,sK0)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK0,n5)
| ~ leq(pv64,n5)
| leq(n0,sK2)
| leq(n0,sK5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| ~ sP26(sK17,sK16)
| sP27(sK19,sK18)
| ~ sP28(sK20)
| ~ sP29(X21,X20) ),
inference(consistent_polarity_flipping,[],[f114]) ).
fof(f114,plain,
! [X21,X20] :
( pv64 = sK0
| ~ leq(n0,pv5)
| ~ leq(n0,sK0)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK0,n5)
| ~ leq(pv64,n5)
| leq(n0,sK2)
| leq(n0,sK5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| sP26(sK17,sK16)
| sP27(sK19,sK18)
| sP28(sK20)
| sP29(X21,X20) ),
inference(definition_unfolding,[],[f101,f17,f17,f17]) ).
fof(f101,plain,
! [X21,X20] :
( pv63 = pv64
| ~ leq(n0,pv5)
| ~ leq(n0,pv63)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(pv63,n5)
| ~ leq(pv64,n5)
| leq(n0,sK2)
| leq(n0,sK5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| sP26(sK17,sK16)
| sP27(sK19,sK18)
| sP28(sK20)
| sP29(X21,X20) ),
inference(cnf_transformation,[],[f10]) ).
fof(f267,plain,
( spl31_4
| ~ spl31_5
| spl31_6
| ~ spl31_7
| spl31_8
| spl31_9
| spl31_10
| spl31_11
| spl31_12
| spl31_21
| spl31_14
| ~ spl31_15
| ~ spl31_1
| ~ spl31_16
| ~ spl31_17
| ~ spl31_3
| ~ spl31_18
| spl31_19 ),
inference(avatar_split_clause,[],[f144,f254,f250,f188,f246,f242,f181,f238,f234,f264,f226,f222,f218,f214,f210,f206,f202,f198,f195]) ).
fof(f144,plain,
! [X21,X20] :
( pv64 = sK0
| ~ leq(n0,pv5)
| ~ leq(n0,sK0)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK0,n5)
| ~ leq(pv64,n5)
| leq(n0,sK2)
| leq(sK4,n5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| ~ sP26(sK17,sK16)
| sP27(sK19,sK18)
| ~ sP28(sK20)
| ~ sP29(X21,X20) ),
inference(consistent_polarity_flipping,[],[f113]) ).
fof(f113,plain,
! [X21,X20] :
( pv64 = sK0
| ~ leq(n0,pv5)
| ~ leq(n0,sK0)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK0,n5)
| ~ leq(pv64,n5)
| leq(n0,sK2)
| leq(sK4,n5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| sP26(sK17,sK16)
| sP27(sK19,sK18)
| sP28(sK20)
| sP29(X21,X20) ),
inference(definition_unfolding,[],[f102,f17,f17,f17]) ).
fof(f102,plain,
! [X21,X20] :
( pv63 = pv64
| ~ leq(n0,pv5)
| ~ leq(n0,pv63)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(pv63,n5)
| ~ leq(pv64,n5)
| leq(n0,sK2)
| leq(sK4,n5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| sP26(sK17,sK16)
| sP27(sK19,sK18)
| sP28(sK20)
| sP29(X21,X20) ),
inference(cnf_transformation,[],[f10]) ).
fof(f262,plain,
( spl31_4
| ~ spl31_5
| spl31_6
| ~ spl31_7
| spl31_8
| spl31_9
| spl31_10
| spl31_11
| spl31_12
| spl31_20
| spl31_14
| ~ spl31_15
| ~ spl31_1
| ~ spl31_16
| ~ spl31_17
| ~ spl31_3
| ~ spl31_18
| spl31_19 ),
inference(avatar_split_clause,[],[f143,f254,f250,f188,f246,f242,f181,f238,f234,f259,f226,f222,f218,f214,f210,f206,f202,f198,f195]) ).
fof(f143,plain,
! [X21,X20] :
( pv64 = sK0
| ~ leq(n0,pv5)
| ~ leq(n0,sK0)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK0,n5)
| ~ leq(pv64,n5)
| leq(n0,sK2)
| leq(sK5,n5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| ~ sP26(sK17,sK16)
| sP27(sK19,sK18)
| ~ sP28(sK20)
| ~ sP29(X21,X20) ),
inference(consistent_polarity_flipping,[],[f112]) ).
fof(f112,plain,
! [X21,X20] :
( pv64 = sK0
| ~ leq(n0,pv5)
| ~ leq(n0,sK0)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK0,n5)
| ~ leq(pv64,n5)
| leq(n0,sK2)
| leq(sK5,n5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| sP26(sK17,sK16)
| sP27(sK19,sK18)
| sP28(sK20)
| sP29(X21,X20) ),
inference(definition_unfolding,[],[f103,f17,f17,f17]) ).
fof(f103,plain,
! [X21,X20] :
( pv63 = pv64
| ~ leq(n0,pv5)
| ~ leq(n0,pv63)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(pv63,n5)
| ~ leq(pv64,n5)
| leq(n0,sK2)
| leq(sK5,n5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| sP26(sK17,sK16)
| sP27(sK19,sK18)
| sP28(sK20)
| sP29(X21,X20) ),
inference(cnf_transformation,[],[f10]) ).
fof(f257,plain,
( spl31_4
| ~ spl31_5
| spl31_6
| ~ spl31_7
| spl31_8
| spl31_9
| spl31_10
| spl31_11
| spl31_12
| ~ spl31_13
| spl31_14
| ~ spl31_15
| ~ spl31_1
| ~ spl31_16
| ~ spl31_17
| ~ spl31_3
| ~ spl31_18
| spl31_19 ),
inference(avatar_split_clause,[],[f142,f254,f250,f188,f246,f242,f181,f238,f234,f230,f226,f222,f218,f214,f210,f206,f202,f198,f195]) ).
fof(f142,plain,
! [X21,X20] :
( pv64 = sK0
| ~ leq(n0,pv5)
| ~ leq(n0,sK0)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK0,n5)
| ~ leq(pv64,n5)
| leq(n0,sK2)
| init != a_select3(phi_ds1_filter_init,sK4,sK5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| ~ sP26(sK17,sK16)
| sP27(sK19,sK18)
| ~ sP28(sK20)
| ~ sP29(X21,X20) ),
inference(consistent_polarity_flipping,[],[f111]) ).
fof(f111,plain,
! [X21,X20] :
( pv64 = sK0
| ~ leq(n0,pv5)
| ~ leq(n0,sK0)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK0,n5)
| ~ leq(pv64,n5)
| leq(n0,sK2)
| init != a_select3(phi_ds1_filter_init,sK4,sK5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| sP26(sK17,sK16)
| sP27(sK19,sK18)
| sP28(sK20)
| sP29(X21,X20) ),
inference(definition_unfolding,[],[f104,f17,f17,f17]) ).
fof(f104,plain,
! [X21,X20] :
( pv63 = pv64
| ~ leq(n0,pv5)
| ~ leq(n0,pv63)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(pv63,n5)
| ~ leq(pv64,n5)
| leq(n0,sK2)
| init != a_select3(phi_ds1_filter_init,sK4,sK5)
| sP21(sK7,sK6)
| sP22(sK9,sK8)
| sP23(sK11,sK10)
| sP24(sK13,sK12)
| sP25(sK15,sK14)
| sP26(sK17,sK16)
| sP27(sK19,sK18)
| sP28(sK20)
| sP29(X21,X20) ),
inference(cnf_transformation,[],[f10]) ).
fof(f193,plain,
spl31_3,
inference(avatar_split_clause,[],[f12,f188]) ).
fof(f12,plain,
leq(n0,sK0),
inference(cnf_transformation,[],[f8]) ).
fof(f192,plain,
spl31_1,
inference(avatar_split_clause,[],[f14,f181]) ).
fof(f14,plain,
leq(sK0,n5),
inference(cnf_transformation,[],[f8]) ).
fof(f191,plain,
( ~ spl31_1
| spl31_2
| ~ spl31_3 ),
inference(avatar_split_clause,[],[f140,f188,f185,f181]) ).
fof(f140,plain,
! [X5] :
( ~ leq(n0,sK0)
| ~ leq(n0,X5)
| ~ leq(sK0,n5)
| ~ leq(X5,n5)
| ~ gt(pv64,X5)
| init = a_select3(id_ds1_filter_init,sK0,X5) ),
inference(equality_resolution,[],[f108]) ).
fof(f108,plain,
! [X4,X5] :
( ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,n5)
| ~ leq(X5,n5)
| sK0 != X4
| ~ gt(pv64,X5)
| init = a_select3(id_ds1_filter_init,X4,X5) ),
inference(definition_unfolding,[],[f21,f17]) ).
fof(f21,plain,
! [X4,X5] :
( ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,n5)
| ~ leq(X5,n5)
| pv63 != X4
| ~ gt(pv64,X5)
| init = a_select3(id_ds1_filter_init,X4,X5) ),
inference(cnf_transformation,[],[f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : MSC010+1 : TPTP v8.2.0. Released v3.1.0.
% 0.08/0.12 % Command : run_vampire %s %d SAT
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Jun 22 05:46:09 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.36 Running first-order model finding
% 0.12/0.36 Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.41 % (19615)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41 % (19622)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (3000ds/115Mi)
% 0.21/0.42 % (19615)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (19618)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.21/0.42 % (19615)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (19620)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.21/0.42 % (19615)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (19619)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (3000ds/152523Mi)
% 0.21/0.42 % (19615)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (19616)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.21/0.42 % (19615)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (19617)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency:i=99418_0 on theBenchmark for (3000ds/99418Mi)
% 0.21/0.42 % (19615)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (19621)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (3000ds/146Mi)
% 0.21/0.43 TRYING [1]
% 0.21/0.43 TRYING [2]
% 0.21/0.44 TRYING [3]
% 0.21/0.44 TRYING [10]
% 0.21/0.46 % (19622)Instruction limit reached!
% 0.21/0.46 % (19622)------------------------------
% 0.21/0.46 % (19622)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.46 % (19622)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.46 % (19622)Termination reason: Time limit
% 0.21/0.46 % (19622)Termination phase: Saturation
% 0.21/0.46
% 0.21/0.46 % (19622)Memory used [KB]: 3838
% 0.21/0.46 % (19622)Time elapsed: 0.054 s
% 0.21/0.46 % (19622)Instructions burned: 115 (million)
% 0.21/0.47 % (19620)Instruction limit reached!
% 0.21/0.47 % (19620)------------------------------
% 0.21/0.47 % (19620)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.47 % (19620)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.47 % (19620)Termination reason: Time limit
% 0.21/0.47 % (19620)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (19620)Memory used [KB]: 1877
% 0.21/0.47 % (19620)Time elapsed: 0.047 s
% 0.21/0.47 % (19620)Instructions burned: 106 (million)
% 0.21/0.49 % (19621)Instruction limit reached!
% 0.21/0.49 % (19621)------------------------------
% 0.21/0.49 % (19621)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.49 % (19621)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.49 % (19621)Termination reason: Time limit
% 0.21/0.49 % (19621)Termination phase: Saturation
% 0.21/0.49
% 0.21/0.49 % (19621)Memory used [KB]: 2757
% 0.21/0.49 % (19621)Time elapsed: 0.073 s
% 0.21/0.49 % (19621)Instructions burned: 146 (million)
% 0.21/0.50 % (19615)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.50 % (19624)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2998ds/175Mi)
% 1.22/0.52 TRYING [23]
% 1.22/0.53 % (19615)Running in auto input_syntax mode. Trying TPTP
% 1.22/0.53 % (19623)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2998ds/404Mi)
% 1.22/0.53 TRYING [4]
% 1.22/0.53 % (19615)Running in auto input_syntax mode. Trying TPTP
% 1.22/0.53 % (19625)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2998ds/270Mi)
% 1.32/0.55 % (19624)Instruction limit reached!
% 1.32/0.55 % (19624)------------------------------
% 1.32/0.55 % (19624)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.32/0.55 % (19624)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.32/0.55 % (19624)Termination reason: Time limit
% 1.32/0.55 % (19624)Termination phase: Saturation
% 1.32/0.55
% 1.32/0.55 % (19624)Memory used [KB]: 3566
% 1.32/0.55 % (19624)Time elapsed: 0.053 s
% 1.32/0.55 % (19624)Instructions burned: 175 (million)
% 1.32/0.59 % (19615)Running in auto input_syntax mode. Trying TPTP
% 1.32/0.59 % (19626)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2998ds/900Mi)
% 1.32/0.61 % (19625)Instruction limit reached!
% 1.32/0.61 % (19625)------------------------------
% 1.32/0.61 % (19625)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.32/0.61 % (19625)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.32/0.61 % (19625)Termination reason: Time limit
% 1.32/0.61 % (19625)Termination phase: Saturation
% 1.32/0.61
% 1.32/0.61 % (19625)Memory used [KB]: 3567
% 1.32/0.61 % (19625)Time elapsed: 0.088 s
% 1.32/0.61 % (19625)Instructions burned: 271 (million)
% 1.90/0.62 % (19623)First to succeed.
% 1.90/0.63 % (19623)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19615"
% 1.90/0.63 % (19615)Running in auto input_syntax mode. Trying TPTP
% 1.90/0.63 % (19623)Refutation found. Thanks to Tanya!
% 1.90/0.63 % SZS status Theorem for theBenchmark
% 1.90/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 1.90/0.63 % (19623)------------------------------
% 1.90/0.63 % (19623)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.90/0.63 % (19623)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.90/0.63 % (19623)Termination reason: Refutation
% 1.90/0.63
% 1.90/0.63 % (19623)Memory used [KB]: 2781
% 1.90/0.63 % (19623)Time elapsed: 0.104 s
% 1.90/0.63 % (19623)Instructions burned: 235 (million)
% 1.90/0.63 % (19623)------------------------------
% 1.90/0.63 % (19623)------------------------------
% 1.90/0.63 % (19615)Success in time 0.265 s
%------------------------------------------------------------------------------