%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MSC010+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:04:57 PM UTC 2026
% Result : Theorem 0.35s 0.91s
% Output : Refutation 0.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 72
% Syntax : Number of formulae : 492 ( 84 unt; 70 def)
% Number of atoms : 2811 ( 358 equ)
% Maximal formula atoms : 68 ( 5 avg)
% Number of connectives : 3742 (1423 ~;1659 |; 554 &)
% ( 42 <=>; 64 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 74 ( 72 usr; 52 prp; 0-2 aty)
% Number of functors : 40 ( 40 usr; 38 con; 0-3 aty)
% Number of variables : 374 ( 0 sgn 270 !; 104 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( pv63 != pv64
& leq(n0,pv5)
& leq(n0,pv63)
& leq(n0,pv64)
& leq(pv5,n998)
& leq(pv63,n5)
& leq(pv64,n5)
& ! [X0,X1] :
( ( leq(n0,X0)
& leq(n0,X1)
& leq(X0,n2)
& leq(X1,n5) )
=> a_select3(h_ds1_filter_init,X0,X1) = init )
& ! [X2,X3] :
( ( leq(n0,X2)
& leq(n0,X3)
& leq(X2,n5)
& leq(X3,n5) )
=> a_select3(phi_ds1_filter_init,X2,X3) = init )
& ! [X4,X5] :
( ( leq(n0,X4)
& leq(n0,X5)
& leq(X4,n5)
& leq(X5,n0) )
=> a_select3(dv_ds1_filter_init,X4,X5) = init )
& ! [X6,X7] :
( ( leq(n0,X6)
& leq(n0,X7)
& leq(X6,n5)
& leq(X7,n5) )
=> a_select3(q_ds1_filter_init,X6,X7) = init )
& ! [X8,X9] :
( ( leq(n0,X8)
& leq(n0,X9)
& leq(X8,n2)
& leq(X9,n2) )
=> a_select3(r_ds1_filter_init,X8,X9) = init )
& ! [X10,X11] :
( ( leq(n0,X10)
& leq(n0,X11)
& leq(X10,n5)
& leq(X11,n0) )
=> a_select3(xhatmin_ds1_filter_init,X10,X11) = init )
& ! [X12,X13] :
( ( leq(n0,X12)
& leq(n0,X13)
& leq(X12,n5)
& leq(X13,n5) )
=> a_select3(pminus_ds1_filter_init,X12,X13) = init )
& ! [X14,X15] :
( ( leq(n0,X14)
& leq(n0,X15)
& leq(X14,n5)
& leq(X15,n5) )
=> ( ( X14 = pv63
& gt(pv64,X15) )
=> a_select3(id_ds1_filter_init,X14,X15) = init ) )
& ! [X16,X17] :
( ( leq(n0,X16)
& leq(n0,X17)
& leq(X16,n5)
& leq(X17,n5) )
=> ( gt(pv63,X16)
=> a_select3(id_ds1_filter_init,X16,X17) = init ) )
& ! [X18] :
( ( leq(n0,X18)
& leq(X18,pred(pv63)) )
=> ! [X19] :
( ( leq(n0,X19)
& leq(X19,n5) )
=> a_select3(id_ds1_filter_init,X18,X19) = init ) ) )
=> ! [X20,X21] :
( ( leq(n0,X20)
& leq(n0,X21)
& leq(X20,n5)
& leq(X21,n5) )
=> ( ( pv64 != X21
& X20 = pv63
& leq(X21,pv64) )
=> a_select3(id_ds1_filter_init,X20,X21) = init ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n1) ).
fof(f2,conjecture,
~ ~ ( ( pv63 != pv64
& leq(n0,pv5)
& leq(n0,pv63)
& leq(n0,pv64)
& leq(pv5,n998)
& leq(pv63,n5)
& leq(pv64,n5)
& ! [X0,X1] :
( ( leq(n0,X0)
& leq(n0,X1)
& leq(X0,n2)
& leq(X1,n5) )
=> a_select3(h_ds1_filter_init,X0,X1) = init )
& ! [X2,X3] :
( ( leq(n0,X2)
& leq(n0,X3)
& leq(X2,n5)
& leq(X3,n5) )
=> a_select3(phi_ds1_filter_init,X2,X3) = init )
& ! [X4,X5] :
( ( leq(n0,X4)
& leq(n0,X5)
& leq(X4,n5)
& leq(X5,n0) )
=> a_select3(dv_ds1_filter_init,X4,X5) = init )
& ! [X6,X7] :
( ( leq(n0,X6)
& leq(n0,X7)
& leq(X6,n5)
& leq(X7,n5) )
=> a_select3(q_ds1_filter_init,X6,X7) = init )
& ! [X8,X9] :
( ( leq(n0,X8)
& leq(n0,X9)
& leq(X8,n2)
& leq(X9,n2) )
=> a_select3(r_ds1_filter_init,X8,X9) = init )
& ! [X10,X11] :
( ( leq(n0,X10)
& leq(n0,X11)
& leq(X10,n5)
& leq(X11,n0) )
=> a_select3(xhatmin_ds1_filter_init,X10,X11) = init )
& ! [X12,X13] :
( ( leq(n0,X12)
& leq(n0,X13)
& leq(X12,n5)
& leq(X13,n5) )
=> a_select3(pminus_ds1_filter_init,X12,X13) = init )
& ! [X14,X15] :
( ( leq(n0,X14)
& leq(n0,X15)
& leq(X14,n5)
& leq(X15,n5) )
=> ( ( X14 = pv63
& gt(pv64,X15) )
=> a_select3(id_ds1_filter_init,X14,X15) = init ) )
& ! [X16,X17] :
( ( leq(n0,X16)
& leq(n0,X17)
& leq(X16,n5)
& leq(X17,n5) )
=> ( gt(pv63,X16)
=> a_select3(id_ds1_filter_init,X16,X17) = init ) )
& ! [X18] :
( ( leq(n0,X18)
& leq(X18,pred(pv63)) )
=> ! [X19] :
( ( leq(n0,X19)
& leq(X19,n5) )
=> a_select3(id_ds1_filter_init,X18,X19) = init ) ) )
=> ! [X20,X21] :
( ( leq(n0,X20)
& leq(n0,X21)
& leq(X20,n5)
& leq(X21,n5) )
=> ( ( pv64 != X21
& X20 = pv63
& leq(X21,pv64) )
=> a_select3(id_ds1_filter_init,X20,X21) = init ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n91) ).
fof(f3,negated_conjecture,
~ ~ ~ ( ( pv63 != pv64
& leq(n0,pv5)
& leq(n0,pv63)
& leq(n0,pv64)
& leq(pv5,n998)
& leq(pv63,n5)
& leq(pv64,n5)
& ! [X0,X1] :
( ( leq(n0,X0)
& leq(n0,X1)
& leq(X0,n2)
& leq(X1,n5) )
=> a_select3(h_ds1_filter_init,X0,X1) = init )
& ! [X2,X3] :
( ( leq(n0,X2)
& leq(n0,X3)
& leq(X2,n5)
& leq(X3,n5) )
=> a_select3(phi_ds1_filter_init,X2,X3) = init )
& ! [X4,X5] :
( ( leq(n0,X4)
& leq(n0,X5)
& leq(X4,n5)
& leq(X5,n0) )
=> a_select3(dv_ds1_filter_init,X4,X5) = init )
& ! [X6,X7] :
( ( leq(n0,X6)
& leq(n0,X7)
& leq(X6,n5)
& leq(X7,n5) )
=> a_select3(q_ds1_filter_init,X6,X7) = init )
& ! [X8,X9] :
( ( leq(n0,X8)
& leq(n0,X9)
& leq(X8,n2)
& leq(X9,n2) )
=> a_select3(r_ds1_filter_init,X8,X9) = init )
& ! [X10,X11] :
( ( leq(n0,X10)
& leq(n0,X11)
& leq(X10,n5)
& leq(X11,n0) )
=> a_select3(xhatmin_ds1_filter_init,X10,X11) = init )
& ! [X12,X13] :
( ( leq(n0,X12)
& leq(n0,X13)
& leq(X12,n5)
& leq(X13,n5) )
=> a_select3(pminus_ds1_filter_init,X12,X13) = init )
& ! [X14,X15] :
( ( leq(n0,X14)
& leq(n0,X15)
& leq(X14,n5)
& leq(X15,n5) )
=> ( ( X14 = pv63
& gt(pv64,X15) )
=> a_select3(id_ds1_filter_init,X14,X15) = init ) )
& ! [X16,X17] :
( ( leq(n0,X16)
& leq(n0,X17)
& leq(X16,n5)
& leq(X17,n5) )
=> ( gt(pv63,X16)
=> a_select3(id_ds1_filter_init,X16,X17) = init ) )
& ! [X18] :
( ( leq(n0,X18)
& leq(X18,pred(pv63)) )
=> ! [X19] :
( ( leq(n0,X19)
& leq(X19,n5) )
=> a_select3(id_ds1_filter_init,X18,X19) = init ) ) )
=> ! [X20,X21] :
( ( leq(n0,X20)
& leq(n0,X21)
& leq(X20,n5)
& leq(X21,n5) )
=> ( ( pv64 != X21
& X20 = pv63
& leq(X21,pv64) )
=> a_select3(id_ds1_filter_init,X20,X21) = init ) ) ),
inference(negated_conjecture,[status(cth)],[f2]) ).
fof(f4,plain,
~ ( ( pv63 != pv64
& leq(n0,pv5)
& leq(n0,pv63)
& leq(n0,pv64)
& leq(pv5,n998)
& leq(pv63,n5)
& leq(pv64,n5)
& ! [X0,X1] :
( ( leq(n0,X0)
& leq(n0,X1)
& leq(X0,n2)
& leq(X1,n5) )
=> a_select3(h_ds1_filter_init,X0,X1) = init )
& ! [X2,X3] :
( ( leq(n0,X2)
& leq(n0,X3)
& leq(X2,n5)
& leq(X3,n5) )
=> a_select3(phi_ds1_filter_init,X2,X3) = init )
& ! [X4,X5] :
( ( leq(n0,X4)
& leq(n0,X5)
& leq(X4,n5)
& leq(X5,n0) )
=> a_select3(dv_ds1_filter_init,X4,X5) = init )
& ! [X6,X7] :
( ( leq(n0,X6)
& leq(n0,X7)
& leq(X6,n5)
& leq(X7,n5) )
=> a_select3(q_ds1_filter_init,X6,X7) = init )
& ! [X8,X9] :
( ( leq(n0,X8)
& leq(n0,X9)
& leq(X8,n2)
& leq(X9,n2) )
=> a_select3(r_ds1_filter_init,X8,X9) = init )
& ! [X10,X11] :
( ( leq(n0,X10)
& leq(n0,X11)
& leq(X10,n5)
& leq(X11,n0) )
=> a_select3(xhatmin_ds1_filter_init,X10,X11) = init )
& ! [X12,X13] :
( ( leq(n0,X12)
& leq(n0,X13)
& leq(X12,n5)
& leq(X13,n5) )
=> a_select3(pminus_ds1_filter_init,X12,X13) = init )
& ! [X14,X15] :
( ( leq(n0,X14)
& leq(n0,X15)
& leq(X14,n5)
& leq(X15,n5) )
=> ( ( X14 = pv63
& gt(pv64,X15) )
=> a_select3(id_ds1_filter_init,X14,X15) = init ) )
& ! [X16,X17] :
( ( leq(n0,X16)
& leq(n0,X17)
& leq(X16,n5)
& leq(X17,n5) )
=> ( gt(pv63,X16)
=> a_select3(id_ds1_filter_init,X16,X17) = init ) )
& ! [X18] :
( ( leq(n0,X18)
& leq(X18,pred(pv63)) )
=> ! [X19] :
( ( leq(n0,X19)
& leq(X19,n5) )
=> a_select3(id_ds1_filter_init,X18,X19) = init ) ) )
=> ! [X20,X21] :
( ( leq(n0,X20)
& leq(n0,X21)
& leq(X20,n5)
& leq(X21,n5) )
=> ( ( pv64 != X21
& X20 = pv63
& leq(X21,pv64) )
=> a_select3(id_ds1_filter_init,X20,X21) = init ) ) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
( ? [X20,X21] :
( init != a_select3(id_ds1_filter_init,X20,X21)
& pv64 != X21
& X20 = pv63
& leq(X21,pv64)
& leq(n0,X20)
& leq(n0,X21)
& leq(X20,n5)
& leq(X21,n5) )
& pv63 != pv64
& leq(n0,pv5)
& leq(n0,pv63)
& leq(n0,pv64)
& leq(pv5,n998)
& leq(pv63,n5)
& leq(pv64,n5)
& ! [X0,X1] :
( a_select3(h_ds1_filter_init,X0,X1) = init
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n2)
| ~ leq(X1,n5) )
& ! [X2,X3] :
( a_select3(phi_ds1_filter_init,X2,X3) = init
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n5)
| ~ leq(X3,n5) )
& ! [X4,X5] :
( a_select3(dv_ds1_filter_init,X4,X5) = init
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,n5)
| ~ leq(X5,n0) )
& ! [X6,X7] :
( a_select3(q_ds1_filter_init,X6,X7) = init
| ~ leq(n0,X6)
| ~ leq(n0,X7)
| ~ leq(X6,n5)
| ~ leq(X7,n5) )
& ! [X8,X9] :
( a_select3(r_ds1_filter_init,X8,X9) = init
| ~ leq(n0,X8)
| ~ leq(n0,X9)
| ~ leq(X8,n2)
| ~ leq(X9,n2) )
& ! [X10,X11] :
( a_select3(xhatmin_ds1_filter_init,X10,X11) = init
| ~ leq(n0,X10)
| ~ leq(n0,X11)
| ~ leq(X10,n5)
| ~ leq(X11,n0) )
& ! [X12,X13] :
( a_select3(pminus_ds1_filter_init,X12,X13) = init
| ~ leq(n0,X12)
| ~ leq(n0,X13)
| ~ leq(X12,n5)
| ~ leq(X13,n5) )
& ! [X14,X15] :
( a_select3(id_ds1_filter_init,X14,X15) = init
| pv63 != X14
| ~ gt(pv64,X15)
| ~ leq(n0,X14)
| ~ leq(n0,X15)
| ~ leq(X14,n5)
| ~ leq(X15,n5) )
& ! [X16,X17] :
( a_select3(id_ds1_filter_init,X16,X17) = init
| ~ gt(pv63,X16)
| ~ leq(n0,X16)
| ~ leq(n0,X17)
| ~ leq(X16,n5)
| ~ leq(X17,n5) )
& ! [X18] :
( ! [X19] :
( a_select3(id_ds1_filter_init,X18,X19) = init
| ~ leq(n0,X19)
| ~ leq(X19,n5) )
| ~ leq(n0,X18)
| ~ leq(X18,pred(pv63)) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f6,plain,
( ? [X20,X21] :
( init != a_select3(id_ds1_filter_init,X20,X21)
& pv64 != X21
& X20 = pv63
& leq(X21,pv64)
& leq(n0,X20)
& leq(n0,X21)
& leq(X20,n5)
& leq(X21,n5) )
& pv63 != pv64
& leq(n0,pv5)
& leq(n0,pv63)
& leq(n0,pv64)
& leq(pv5,n998)
& leq(pv63,n5)
& leq(pv64,n5)
& ! [X0,X1] :
( a_select3(h_ds1_filter_init,X0,X1) = init
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n2)
| ~ leq(X1,n5) )
& ! [X2,X3] :
( a_select3(phi_ds1_filter_init,X2,X3) = init
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n5)
| ~ leq(X3,n5) )
& ! [X4,X5] :
( a_select3(dv_ds1_filter_init,X4,X5) = init
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,n5)
| ~ leq(X5,n0) )
& ! [X6,X7] :
( a_select3(q_ds1_filter_init,X6,X7) = init
| ~ leq(n0,X6)
| ~ leq(n0,X7)
| ~ leq(X6,n5)
| ~ leq(X7,n5) )
& ! [X8,X9] :
( a_select3(r_ds1_filter_init,X8,X9) = init
| ~ leq(n0,X8)
| ~ leq(n0,X9)
| ~ leq(X8,n2)
| ~ leq(X9,n2) )
& ! [X10,X11] :
( a_select3(xhatmin_ds1_filter_init,X10,X11) = init
| ~ leq(n0,X10)
| ~ leq(n0,X11)
| ~ leq(X10,n5)
| ~ leq(X11,n0) )
& ! [X12,X13] :
( a_select3(pminus_ds1_filter_init,X12,X13) = init
| ~ leq(n0,X12)
| ~ leq(n0,X13)
| ~ leq(X12,n5)
| ~ leq(X13,n5) )
& ! [X14,X15] :
( a_select3(id_ds1_filter_init,X14,X15) = init
| pv63 != X14
| ~ gt(pv64,X15)
| ~ leq(n0,X14)
| ~ leq(n0,X15)
| ~ leq(X14,n5)
| ~ leq(X15,n5) )
& ! [X16,X17] :
( a_select3(id_ds1_filter_init,X16,X17) = init
| ~ gt(pv63,X16)
| ~ leq(n0,X16)
| ~ leq(n0,X17)
| ~ leq(X16,n5)
| ~ leq(X17,n5) )
& ! [X18] :
( ! [X19] :
( a_select3(id_ds1_filter_init,X18,X19) = init
| ~ leq(n0,X19)
| ~ leq(X19,n5) )
| ~ leq(n0,X18)
| ~ leq(X18,pred(pv63)) ) ),
inference(flattening,[],[f5]) ).
fof(f7,plain,
( ! [X20,X21] :
( a_select3(id_ds1_filter_init,X20,X21) = init
| pv64 = X21
| pv63 != X20
| ~ leq(X21,pv64)
| ~ leq(n0,X20)
| ~ leq(n0,X21)
| ~ leq(X20,n5)
| ~ leq(X21,n5) )
| pv63 = pv64
| ~ leq(n0,pv5)
| ~ leq(n0,pv63)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(pv63,n5)
| ~ leq(pv64,n5)
| ? [X0,X1] :
( a_select3(h_ds1_filter_init,X0,X1) != init
& leq(n0,X0)
& leq(n0,X1)
& leq(X0,n2)
& leq(X1,n5) )
| ? [X2,X3] :
( init != a_select3(phi_ds1_filter_init,X2,X3)
& leq(n0,X2)
& leq(n0,X3)
& leq(X2,n5)
& leq(X3,n5) )
| ? [X4,X5] :
( init != a_select3(dv_ds1_filter_init,X4,X5)
& leq(n0,X4)
& leq(n0,X5)
& leq(X4,n5)
& leq(X5,n0) )
| ? [X6,X7] :
( init != a_select3(q_ds1_filter_init,X6,X7)
& leq(n0,X6)
& leq(n0,X7)
& leq(X6,n5)
& leq(X7,n5) )
| ? [X8,X9] :
( init != a_select3(r_ds1_filter_init,X8,X9)
& leq(n0,X8)
& leq(n0,X9)
& leq(X8,n2)
& leq(X9,n2) )
| ? [X10,X11] :
( init != a_select3(xhatmin_ds1_filter_init,X10,X11)
& leq(n0,X10)
& leq(n0,X11)
& leq(X10,n5)
& leq(X11,n0) )
| ? [X12,X13] :
( init != a_select3(pminus_ds1_filter_init,X12,X13)
& leq(n0,X12)
& leq(n0,X13)
& leq(X12,n5)
& leq(X13,n5) )
| ? [X14,X15] :
( init != a_select3(id_ds1_filter_init,X14,X15)
& X14 = pv63
& gt(pv64,X15)
& leq(n0,X14)
& leq(n0,X15)
& leq(X14,n5)
& leq(X15,n5) )
| ? [X16,X17] :
( init != a_select3(id_ds1_filter_init,X16,X17)
& gt(pv63,X16)
& leq(n0,X16)
& leq(n0,X17)
& leq(X16,n5)
& leq(X17,n5) )
| ? [X18] :
( ? [X19] :
( init != a_select3(id_ds1_filter_init,X18,X19)
& leq(n0,X19)
& leq(X19,n5) )
& leq(n0,X18)
& leq(X18,pred(pv63)) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f8,plain,
( ! [X20,X21] :
( a_select3(id_ds1_filter_init,X20,X21) = init
| pv64 = X21
| pv63 != X20
| ~ leq(X21,pv64)
| ~ leq(n0,X20)
| ~ leq(n0,X21)
| ~ leq(X20,n5)
| ~ leq(X21,n5) )
| pv63 = pv64
| ~ leq(n0,pv5)
| ~ leq(n0,pv63)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(pv63,n5)
| ~ leq(pv64,n5)
| ? [X0,X1] :
( a_select3(h_ds1_filter_init,X0,X1) != init
& leq(n0,X0)
& leq(n0,X1)
& leq(X0,n2)
& leq(X1,n5) )
| ? [X2,X3] :
( init != a_select3(phi_ds1_filter_init,X2,X3)
& leq(n0,X2)
& leq(n0,X3)
& leq(X2,n5)
& leq(X3,n5) )
| ? [X4,X5] :
( init != a_select3(dv_ds1_filter_init,X4,X5)
& leq(n0,X4)
& leq(n0,X5)
& leq(X4,n5)
& leq(X5,n0) )
| ? [X6,X7] :
( init != a_select3(q_ds1_filter_init,X6,X7)
& leq(n0,X6)
& leq(n0,X7)
& leq(X6,n5)
& leq(X7,n5) )
| ? [X8,X9] :
( init != a_select3(r_ds1_filter_init,X8,X9)
& leq(n0,X8)
& leq(n0,X9)
& leq(X8,n2)
& leq(X9,n2) )
| ? [X10,X11] :
( init != a_select3(xhatmin_ds1_filter_init,X10,X11)
& leq(n0,X10)
& leq(n0,X11)
& leq(X10,n5)
& leq(X11,n0) )
| ? [X12,X13] :
( init != a_select3(pminus_ds1_filter_init,X12,X13)
& leq(n0,X12)
& leq(n0,X13)
& leq(X12,n5)
& leq(X13,n5) )
| ? [X14,X15] :
( init != a_select3(id_ds1_filter_init,X14,X15)
& X14 = pv63
& gt(pv64,X15)
& leq(n0,X14)
& leq(n0,X15)
& leq(X14,n5)
& leq(X15,n5) )
| ? [X16,X17] :
( init != a_select3(id_ds1_filter_init,X16,X17)
& gt(pv63,X16)
& leq(n0,X16)
& leq(n0,X17)
& leq(X16,n5)
& leq(X17,n5) )
| ? [X18] :
( ? [X19] :
( init != a_select3(id_ds1_filter_init,X18,X19)
& leq(n0,X19)
& leq(X19,n5) )
& leq(n0,X18)
& leq(X18,pred(pv63)) ) ),
inference(flattening,[],[f7]) ).
fof(f9,definition,
( ? [X14,X15] :
( init != a_select3(id_ds1_filter_init,X14,X15)
& X14 = pv63
& gt(pv64,X15)
& leq(n0,X14)
& leq(n0,X15)
& leq(X14,n5)
& leq(X15,n5) )
| ~ sP0 ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f10,definition,
( ? [X16,X17] :
( init != a_select3(id_ds1_filter_init,X16,X17)
& gt(pv63,X16)
& leq(n0,X16)
& leq(n0,X17)
& leq(X16,n5)
& leq(X17,n5) )
| ~ sP1 ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f11,definition,
( ? [X18] :
( ? [X19] :
( init != a_select3(id_ds1_filter_init,X18,X19)
& leq(n0,X19)
& leq(X19,n5) )
& leq(n0,X18)
& leq(X18,pred(pv63)) )
| ~ sP2 ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f12,definition,
( ? [X12,X13] :
( init != a_select3(pminus_ds1_filter_init,X12,X13)
& leq(n0,X12)
& leq(n0,X13)
& leq(X12,n5)
& leq(X13,n5) )
| ~ sP3 ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f13,definition,
( ? [X10,X11] :
( init != a_select3(xhatmin_ds1_filter_init,X10,X11)
& leq(n0,X10)
& leq(n0,X11)
& leq(X10,n5)
& leq(X11,n0) )
| ~ sP4 ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f14,definition,
( ? [X8,X9] :
( init != a_select3(r_ds1_filter_init,X8,X9)
& leq(n0,X8)
& leq(n0,X9)
& leq(X8,n2)
& leq(X9,n2) )
| ~ sP5 ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f15,definition,
( ? [X6,X7] :
( init != a_select3(q_ds1_filter_init,X6,X7)
& leq(n0,X6)
& leq(n0,X7)
& leq(X6,n5)
& leq(X7,n5) )
| ~ sP6 ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f16,definition,
( ? [X4,X5] :
( init != a_select3(dv_ds1_filter_init,X4,X5)
& leq(n0,X4)
& leq(n0,X5)
& leq(X4,n5)
& leq(X5,n0) )
| ~ sP7 ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f17,definition,
( ? [X2,X3] :
( init != a_select3(phi_ds1_filter_init,X2,X3)
& leq(n0,X2)
& leq(n0,X3)
& leq(X2,n5)
& leq(X3,n5) )
| ~ sP8 ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f18,plain,
( ! [X20,X21] :
( a_select3(id_ds1_filter_init,X20,X21) = init
| pv64 = X21
| pv63 != X20
| ~ leq(X21,pv64)
| ~ leq(n0,X20)
| ~ leq(n0,X21)
| ~ leq(X20,n5)
| ~ leq(X21,n5) )
| pv63 = pv64
| ~ leq(n0,pv5)
| ~ leq(n0,pv63)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(pv63,n5)
| ~ leq(pv64,n5)
| ? [X0,X1] :
( a_select3(h_ds1_filter_init,X0,X1) != init
& leq(n0,X0)
& leq(n0,X1)
& leq(X0,n2)
& leq(X1,n5) )
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 ),
inference(definition_folding,[],[f8,f17,f16,f15,f14,f13,f12,f11,f10,f9]) ).
fof(f19,plain,
( ? [X0,X1] :
( init != a_select3(id_ds1_filter_init,X0,X1)
& pv64 != X1
& pv63 = X0
& leq(X1,pv64)
& leq(n0,X0)
& leq(n0,X1)
& leq(X0,n5)
& leq(X1,n5) )
& pv63 != pv64
& leq(n0,pv5)
& leq(n0,pv63)
& leq(n0,pv64)
& leq(pv5,n998)
& leq(pv63,n5)
& leq(pv64,n5)
& ! [X2,X3] :
( init = a_select3(h_ds1_filter_init,X2,X3)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(X3,n5) )
& ! [X4,X5] :
( init = a_select3(phi_ds1_filter_init,X4,X5)
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,n5)
| ~ leq(X5,n5) )
& ! [X6,X7] :
( init = a_select3(dv_ds1_filter_init,X6,X7)
| ~ leq(n0,X6)
| ~ leq(n0,X7)
| ~ leq(X6,n5)
| ~ leq(X7,n0) )
& ! [X8,X9] :
( init = a_select3(q_ds1_filter_init,X8,X9)
| ~ leq(n0,X8)
| ~ leq(n0,X9)
| ~ leq(X8,n5)
| ~ leq(X9,n5) )
& ! [X10,X11] :
( init = a_select3(r_ds1_filter_init,X10,X11)
| ~ leq(n0,X10)
| ~ leq(n0,X11)
| ~ leq(X10,n2)
| ~ leq(X11,n2) )
& ! [X12,X13] :
( init = a_select3(xhatmin_ds1_filter_init,X12,X13)
| ~ leq(n0,X12)
| ~ leq(n0,X13)
| ~ leq(X12,n5)
| ~ leq(X13,n0) )
& ! [X14,X15] :
( init = a_select3(pminus_ds1_filter_init,X14,X15)
| ~ leq(n0,X14)
| ~ leq(n0,X15)
| ~ leq(X14,n5)
| ~ leq(X15,n5) )
& ! [X16,X17] :
( init = a_select3(id_ds1_filter_init,X16,X17)
| pv63 != X16
| ~ gt(pv64,X17)
| ~ leq(n0,X16)
| ~ leq(n0,X17)
| ~ leq(X16,n5)
| ~ leq(X17,n5) )
& ! [X18,X19] :
( init = a_select3(id_ds1_filter_init,X18,X19)
| ~ gt(pv63,X18)
| ~ leq(n0,X18)
| ~ leq(n0,X19)
| ~ leq(X18,n5)
| ~ leq(X19,n5) )
& ! [X20] :
( ! [X21] :
( init = a_select3(id_ds1_filter_init,X20,X21)
| ~ leq(n0,X21)
| ~ leq(X21,n5) )
| ~ leq(n0,X20)
| ~ leq(X20,pred(pv63)) ) ),
inference(rectify,[],[f6]) ).
fof(f20,plain,
( init != a_select3(id_ds1_filter_init,sK9,sK10)
& pv64 != sK10
& pv63 = sK9
& leq(sK10,pv64)
& leq(n0,sK9)
& leq(n0,sK10)
& leq(sK9,n5)
& leq(sK10,n5)
& pv63 != pv64
& leq(n0,pv5)
& leq(n0,pv63)
& leq(n0,pv64)
& leq(pv5,n998)
& leq(pv63,n5)
& leq(pv64,n5)
& ! [X2,X3] :
( init = a_select3(h_ds1_filter_init,X2,X3)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(X3,n5) )
& ! [X4,X5] :
( init = a_select3(phi_ds1_filter_init,X4,X5)
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,n5)
| ~ leq(X5,n5) )
& ! [X6,X7] :
( init = a_select3(dv_ds1_filter_init,X6,X7)
| ~ leq(n0,X6)
| ~ leq(n0,X7)
| ~ leq(X6,n5)
| ~ leq(X7,n0) )
& ! [X8,X9] :
( init = a_select3(q_ds1_filter_init,X8,X9)
| ~ leq(n0,X8)
| ~ leq(n0,X9)
| ~ leq(X8,n5)
| ~ leq(X9,n5) )
& ! [X10,X11] :
( init = a_select3(r_ds1_filter_init,X10,X11)
| ~ leq(n0,X10)
| ~ leq(n0,X11)
| ~ leq(X10,n2)
| ~ leq(X11,n2) )
& ! [X12,X13] :
( init = a_select3(xhatmin_ds1_filter_init,X12,X13)
| ~ leq(n0,X12)
| ~ leq(n0,X13)
| ~ leq(X12,n5)
| ~ leq(X13,n0) )
& ! [X14,X15] :
( init = a_select3(pminus_ds1_filter_init,X14,X15)
| ~ leq(n0,X14)
| ~ leq(n0,X15)
| ~ leq(X14,n5)
| ~ leq(X15,n5) )
& ! [X16,X17] :
( init = a_select3(id_ds1_filter_init,X16,X17)
| pv63 != X16
| ~ gt(pv64,X17)
| ~ leq(n0,X16)
| ~ leq(n0,X17)
| ~ leq(X16,n5)
| ~ leq(X17,n5) )
& ! [X18,X19] :
( init = a_select3(id_ds1_filter_init,X18,X19)
| ~ gt(pv63,X18)
| ~ leq(n0,X18)
| ~ leq(n0,X19)
| ~ leq(X18,n5)
| ~ leq(X19,n5) )
& ! [X20] :
( ! [X21] :
( init = a_select3(id_ds1_filter_init,X20,X21)
| ~ leq(n0,X21)
| ~ leq(X21,n5) )
| ~ leq(n0,X20)
| ~ leq(X20,pred(pv63)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10]),skolemize(X0,sK9),skolemize(X1,sK10)],[f19]) ).
fof(f21,plain,
( ? [X2,X3] :
( init != a_select3(phi_ds1_filter_init,X2,X3)
& leq(n0,X2)
& leq(n0,X3)
& leq(X2,n5)
& leq(X3,n5) )
| ~ sP8 ),
inference(nnf_transformation,[],[f17]) ).
fof(f22,plain,
( ? [X0,X1] :
( init != a_select3(phi_ds1_filter_init,X0,X1)
& leq(n0,X0)
& leq(n0,X1)
& leq(X0,n5)
& leq(X1,n5) )
| ~ sP8 ),
inference(rectify,[],[f21]) ).
fof(f23,plain,
( ( init != a_select3(phi_ds1_filter_init,sK11,sK12)
& leq(n0,sK11)
& leq(n0,sK12)
& leq(sK11,n5)
& leq(sK12,n5) )
| ~ sP8 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12]),skolemize(X0,sK11),skolemize(X1,sK12)],[f22]) ).
fof(f24,plain,
( ? [X4,X5] :
( init != a_select3(dv_ds1_filter_init,X4,X5)
& leq(n0,X4)
& leq(n0,X5)
& leq(X4,n5)
& leq(X5,n0) )
| ~ sP7 ),
inference(nnf_transformation,[],[f16]) ).
fof(f25,plain,
( ? [X0,X1] :
( init != a_select3(dv_ds1_filter_init,X0,X1)
& leq(n0,X0)
& leq(n0,X1)
& leq(X0,n5)
& leq(X1,n0) )
| ~ sP7 ),
inference(rectify,[],[f24]) ).
fof(f26,plain,
( ( init != a_select3(dv_ds1_filter_init,sK13,sK14)
& leq(n0,sK13)
& leq(n0,sK14)
& leq(sK13,n5)
& leq(sK14,n0) )
| ~ sP7 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14]),skolemize(X0,sK13),skolemize(X1,sK14)],[f25]) ).
fof(f27,plain,
( ? [X6,X7] :
( init != a_select3(q_ds1_filter_init,X6,X7)
& leq(n0,X6)
& leq(n0,X7)
& leq(X6,n5)
& leq(X7,n5) )
| ~ sP6 ),
inference(nnf_transformation,[],[f15]) ).
fof(f28,plain,
( ? [X0,X1] :
( init != a_select3(q_ds1_filter_init,X0,X1)
& leq(n0,X0)
& leq(n0,X1)
& leq(X0,n5)
& leq(X1,n5) )
| ~ sP6 ),
inference(rectify,[],[f27]) ).
fof(f29,plain,
( ( init != a_select3(q_ds1_filter_init,sK15,sK16)
& leq(n0,sK15)
& leq(n0,sK16)
& leq(sK15,n5)
& leq(sK16,n5) )
| ~ sP6 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15,sK16]),skolemize(X0,sK15),skolemize(X1,sK16)],[f28]) ).
fof(f30,plain,
( ? [X8,X9] :
( init != a_select3(r_ds1_filter_init,X8,X9)
& leq(n0,X8)
& leq(n0,X9)
& leq(X8,n2)
& leq(X9,n2) )
| ~ sP5 ),
inference(nnf_transformation,[],[f14]) ).
fof(f31,plain,
( ? [X0,X1] :
( init != a_select3(r_ds1_filter_init,X0,X1)
& leq(n0,X0)
& leq(n0,X1)
& leq(X0,n2)
& leq(X1,n2) )
| ~ sP5 ),
inference(rectify,[],[f30]) ).
fof(f32,plain,
( ( init != a_select3(r_ds1_filter_init,sK17,sK18)
& leq(n0,sK17)
& leq(n0,sK18)
& leq(sK17,n2)
& leq(sK18,n2) )
| ~ sP5 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17,sK18]),skolemize(X0,sK17),skolemize(X1,sK18)],[f31]) ).
fof(f33,plain,
( ? [X10,X11] :
( init != a_select3(xhatmin_ds1_filter_init,X10,X11)
& leq(n0,X10)
& leq(n0,X11)
& leq(X10,n5)
& leq(X11,n0) )
| ~ sP4 ),
inference(nnf_transformation,[],[f13]) ).
fof(f34,plain,
( ? [X0,X1] :
( init != a_select3(xhatmin_ds1_filter_init,X0,X1)
& leq(n0,X0)
& leq(n0,X1)
& leq(X0,n5)
& leq(X1,n0) )
| ~ sP4 ),
inference(rectify,[],[f33]) ).
fof(f35,plain,
( ( init != a_select3(xhatmin_ds1_filter_init,sK19,sK20)
& leq(n0,sK19)
& leq(n0,sK20)
& leq(sK19,n5)
& leq(sK20,n0) )
| ~ sP4 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19,sK20]),skolemize(X0,sK19),skolemize(X1,sK20)],[f34]) ).
fof(f36,plain,
( ? [X12,X13] :
( init != a_select3(pminus_ds1_filter_init,X12,X13)
& leq(n0,X12)
& leq(n0,X13)
& leq(X12,n5)
& leq(X13,n5) )
| ~ sP3 ),
inference(nnf_transformation,[],[f12]) ).
fof(f37,plain,
( ? [X0,X1] :
( init != a_select3(pminus_ds1_filter_init,X0,X1)
& leq(n0,X0)
& leq(n0,X1)
& leq(X0,n5)
& leq(X1,n5) )
| ~ sP3 ),
inference(rectify,[],[f36]) ).
fof(f38,plain,
( ( init != a_select3(pminus_ds1_filter_init,sK21,sK22)
& leq(n0,sK21)
& leq(n0,sK22)
& leq(sK21,n5)
& leq(sK22,n5) )
| ~ sP3 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21,sK22]),skolemize(X0,sK21),skolemize(X1,sK22)],[f37]) ).
fof(f39,plain,
( ? [X18] :
( ? [X19] :
( init != a_select3(id_ds1_filter_init,X18,X19)
& leq(n0,X19)
& leq(X19,n5) )
& leq(n0,X18)
& leq(X18,pred(pv63)) )
| ~ sP2 ),
inference(nnf_transformation,[],[f11]) ).
fof(f40,plain,
( ? [X0] :
( ? [X1] :
( init != a_select3(id_ds1_filter_init,X0,X1)
& leq(n0,X1)
& leq(X1,n5) )
& leq(n0,X0)
& leq(X0,pred(pv63)) )
| ~ sP2 ),
inference(rectify,[],[f39]) ).
fof(f41,plain,
( ( init != a_select3(id_ds1_filter_init,sK23,sK24)
& leq(n0,sK24)
& leq(sK24,n5)
& leq(n0,sK23)
& leq(sK23,pred(pv63)) )
| ~ sP2 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23,sK24]),skolemize(X0,sK23),skolemize(X1,sK24)],[f40]) ).
fof(f42,plain,
( ? [X16,X17] :
( init != a_select3(id_ds1_filter_init,X16,X17)
& gt(pv63,X16)
& leq(n0,X16)
& leq(n0,X17)
& leq(X16,n5)
& leq(X17,n5) )
| ~ sP1 ),
inference(nnf_transformation,[],[f10]) ).
fof(f43,plain,
( ? [X0,X1] :
( init != a_select3(id_ds1_filter_init,X0,X1)
& gt(pv63,X0)
& leq(n0,X0)
& leq(n0,X1)
& leq(X0,n5)
& leq(X1,n5) )
| ~ sP1 ),
inference(rectify,[],[f42]) ).
fof(f44,plain,
( ( init != a_select3(id_ds1_filter_init,sK25,sK26)
& gt(pv63,sK25)
& leq(n0,sK25)
& leq(n0,sK26)
& leq(sK25,n5)
& leq(sK26,n5) )
| ~ sP1 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25,sK26]),skolemize(X0,sK25),skolemize(X1,sK26)],[f43]) ).
fof(f45,plain,
( ? [X14,X15] :
( init != a_select3(id_ds1_filter_init,X14,X15)
& X14 = pv63
& gt(pv64,X15)
& leq(n0,X14)
& leq(n0,X15)
& leq(X14,n5)
& leq(X15,n5) )
| ~ sP0 ),
inference(nnf_transformation,[],[f9]) ).
fof(f46,plain,
( ? [X0,X1] :
( init != a_select3(id_ds1_filter_init,X0,X1)
& pv63 = X0
& gt(pv64,X1)
& leq(n0,X0)
& leq(n0,X1)
& leq(X0,n5)
& leq(X1,n5) )
| ~ sP0 ),
inference(rectify,[],[f45]) ).
fof(f47,plain,
( ( init != a_select3(id_ds1_filter_init,sK27,sK28)
& pv63 = sK27
& gt(pv64,sK28)
& leq(n0,sK27)
& leq(n0,sK28)
& leq(sK27,n5)
& leq(sK28,n5) )
| ~ sP0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27,sK28]),skolemize(X0,sK27),skolemize(X1,sK28)],[f46]) ).
fof(f48,plain,
( ! [X0,X1] :
( init = a_select3(id_ds1_filter_init,X0,X1)
| pv64 = X1
| pv63 != X0
| ~ leq(X1,pv64)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n5)
| ~ leq(X1,n5) )
| pv63 = pv64
| ~ leq(n0,pv5)
| ~ leq(n0,pv63)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(pv63,n5)
| ~ leq(pv64,n5)
| ? [X2,X3] :
( init != a_select3(h_ds1_filter_init,X2,X3)
& leq(n0,X2)
& leq(n0,X3)
& leq(X2,n2)
& leq(X3,n5) )
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 ),
inference(rectify,[],[f18]) ).
fof(f49,plain,
( ! [X0,X1] :
( init = a_select3(id_ds1_filter_init,X0,X1)
| pv64 = X1
| pv63 != X0
| ~ leq(X1,pv64)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n5)
| ~ leq(X1,n5) )
| 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,sK29,sK30)
& leq(n0,sK29)
& leq(n0,sK30)
& leq(sK29,n2)
& leq(sK30,n5) )
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK29,sK30]),skolemize(X2,sK29),skolemize(X3,sK30)],[f48]) ).
fof(f50,plain,
! [X21,X20] :
( init = a_select3(id_ds1_filter_init,X20,X21)
| ~ leq(n0,X21)
| ~ leq(X21,n5)
| ~ leq(n0,X20)
| ~ leq(X20,pred(pv63)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f51,plain,
! [X18,X19] :
( init = a_select3(id_ds1_filter_init,X18,X19)
| ~ gt(pv63,X18)
| ~ leq(n0,X18)
| ~ leq(n0,X19)
| ~ leq(X18,n5)
| ~ leq(X19,n5) ),
inference(cnf_transformation,[],[f20]) ).
fof(f52,plain,
! [X16,X17] :
( init = a_select3(id_ds1_filter_init,X16,X17)
| pv63 != X16
| ~ gt(pv64,X17)
| ~ leq(n0,X16)
| ~ leq(n0,X17)
| ~ leq(X16,n5)
| ~ leq(X17,n5) ),
inference(cnf_transformation,[],[f20]) ).
fof(f53,plain,
! [X14,X15] :
( init = a_select3(pminus_ds1_filter_init,X14,X15)
| ~ leq(n0,X14)
| ~ leq(n0,X15)
| ~ leq(X14,n5)
| ~ leq(X15,n5) ),
inference(cnf_transformation,[],[f20]) ).
fof(f54,plain,
! [X12,X13] :
( init = a_select3(xhatmin_ds1_filter_init,X12,X13)
| ~ leq(n0,X12)
| ~ leq(n0,X13)
| ~ leq(X12,n5)
| ~ leq(X13,n0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f55,plain,
! [X10,X11] :
( init = a_select3(r_ds1_filter_init,X10,X11)
| ~ leq(n0,X10)
| ~ leq(n0,X11)
| ~ leq(X10,n2)
| ~ leq(X11,n2) ),
inference(cnf_transformation,[],[f20]) ).
fof(f56,plain,
! [X8,X9] :
( init = a_select3(q_ds1_filter_init,X8,X9)
| ~ leq(n0,X8)
| ~ leq(n0,X9)
| ~ leq(X8,n5)
| ~ leq(X9,n5) ),
inference(cnf_transformation,[],[f20]) ).
fof(f57,plain,
! [X6,X7] :
( init = a_select3(dv_ds1_filter_init,X6,X7)
| ~ leq(n0,X6)
| ~ leq(n0,X7)
| ~ leq(X6,n5)
| ~ leq(X7,n0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f58,plain,
! [X4,X5] :
( init = a_select3(phi_ds1_filter_init,X4,X5)
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,n5)
| ~ leq(X5,n5) ),
inference(cnf_transformation,[],[f20]) ).
fof(f59,plain,
! [X2,X3] :
( init = a_select3(h_ds1_filter_init,X2,X3)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(X3,n5) ),
inference(cnf_transformation,[],[f20]) ).
fof(f60,plain,
leq(pv64,n5),
inference(cnf_transformation,[],[f20]) ).
fof(f61,plain,
leq(pv63,n5),
inference(cnf_transformation,[],[f20]) ).
fof(f62,plain,
leq(pv5,n998),
inference(cnf_transformation,[],[f20]) ).
fof(f63,plain,
leq(n0,pv64),
inference(cnf_transformation,[],[f20]) ).
fof(f64,plain,
leq(n0,pv63),
inference(cnf_transformation,[],[f20]) ).
fof(f65,plain,
leq(n0,pv5),
inference(cnf_transformation,[],[f20]) ).
fof(f66,plain,
pv63 != pv64,
inference(cnf_transformation,[],[f20]) ).
fof(f67,plain,
leq(sK10,n5),
inference(cnf_transformation,[],[f20]) ).
fof(f69,plain,
leq(n0,sK10),
inference(cnf_transformation,[],[f20]) ).
fof(f71,plain,
leq(sK10,pv64),
inference(cnf_transformation,[],[f20]) ).
fof(f72,plain,
pv63 = sK9,
inference(cnf_transformation,[],[f20]) ).
fof(f73,plain,
pv64 != sK10,
inference(cnf_transformation,[],[f20]) ).
fof(f74,plain,
init != a_select3(id_ds1_filter_init,sK9,sK10),
inference(cnf_transformation,[],[f20]) ).
fof(f75,plain,
( leq(sK12,n5)
| ~ sP8 ),
inference(cnf_transformation,[],[f23]) ).
fof(f76,plain,
( leq(sK11,n5)
| ~ sP8 ),
inference(cnf_transformation,[],[f23]) ).
fof(f77,plain,
( leq(n0,sK12)
| ~ sP8 ),
inference(cnf_transformation,[],[f23]) ).
fof(f78,plain,
( leq(n0,sK11)
| ~ sP8 ),
inference(cnf_transformation,[],[f23]) ).
fof(f79,plain,
( init != a_select3(phi_ds1_filter_init,sK11,sK12)
| ~ sP8 ),
inference(cnf_transformation,[],[f23]) ).
fof(f80,plain,
( leq(sK14,n0)
| ~ sP7 ),
inference(cnf_transformation,[],[f26]) ).
fof(f81,plain,
( leq(sK13,n5)
| ~ sP7 ),
inference(cnf_transformation,[],[f26]) ).
fof(f82,plain,
( leq(n0,sK14)
| ~ sP7 ),
inference(cnf_transformation,[],[f26]) ).
fof(f83,plain,
( leq(n0,sK13)
| ~ sP7 ),
inference(cnf_transformation,[],[f26]) ).
fof(f84,plain,
( init != a_select3(dv_ds1_filter_init,sK13,sK14)
| ~ sP7 ),
inference(cnf_transformation,[],[f26]) ).
fof(f85,plain,
( leq(sK16,n5)
| ~ sP6 ),
inference(cnf_transformation,[],[f29]) ).
fof(f86,plain,
( leq(sK15,n5)
| ~ sP6 ),
inference(cnf_transformation,[],[f29]) ).
fof(f87,plain,
( leq(n0,sK16)
| ~ sP6 ),
inference(cnf_transformation,[],[f29]) ).
fof(f88,plain,
( leq(n0,sK15)
| ~ sP6 ),
inference(cnf_transformation,[],[f29]) ).
fof(f89,plain,
( init != a_select3(q_ds1_filter_init,sK15,sK16)
| ~ sP6 ),
inference(cnf_transformation,[],[f29]) ).
fof(f90,plain,
( leq(sK18,n2)
| ~ sP5 ),
inference(cnf_transformation,[],[f32]) ).
fof(f91,plain,
( leq(sK17,n2)
| ~ sP5 ),
inference(cnf_transformation,[],[f32]) ).
fof(f92,plain,
( leq(n0,sK18)
| ~ sP5 ),
inference(cnf_transformation,[],[f32]) ).
fof(f93,plain,
( leq(n0,sK17)
| ~ sP5 ),
inference(cnf_transformation,[],[f32]) ).
fof(f94,plain,
( init != a_select3(r_ds1_filter_init,sK17,sK18)
| ~ sP5 ),
inference(cnf_transformation,[],[f32]) ).
fof(f95,plain,
( leq(sK20,n0)
| ~ sP4 ),
inference(cnf_transformation,[],[f35]) ).
fof(f96,plain,
( leq(sK19,n5)
| ~ sP4 ),
inference(cnf_transformation,[],[f35]) ).
fof(f97,plain,
( leq(n0,sK20)
| ~ sP4 ),
inference(cnf_transformation,[],[f35]) ).
fof(f98,plain,
( leq(n0,sK19)
| ~ sP4 ),
inference(cnf_transformation,[],[f35]) ).
fof(f99,plain,
( init != a_select3(xhatmin_ds1_filter_init,sK19,sK20)
| ~ sP4 ),
inference(cnf_transformation,[],[f35]) ).
fof(f100,plain,
( leq(sK22,n5)
| ~ sP3 ),
inference(cnf_transformation,[],[f38]) ).
fof(f101,plain,
( leq(sK21,n5)
| ~ sP3 ),
inference(cnf_transformation,[],[f38]) ).
fof(f102,plain,
( leq(n0,sK22)
| ~ sP3 ),
inference(cnf_transformation,[],[f38]) ).
fof(f103,plain,
( leq(n0,sK21)
| ~ sP3 ),
inference(cnf_transformation,[],[f38]) ).
fof(f104,plain,
( init != a_select3(pminus_ds1_filter_init,sK21,sK22)
| ~ sP3 ),
inference(cnf_transformation,[],[f38]) ).
fof(f105,plain,
( leq(sK23,pred(pv63))
| ~ sP2 ),
inference(cnf_transformation,[],[f41]) ).
fof(f106,plain,
( leq(n0,sK23)
| ~ sP2 ),
inference(cnf_transformation,[],[f41]) ).
fof(f107,plain,
( leq(sK24,n5)
| ~ sP2 ),
inference(cnf_transformation,[],[f41]) ).
fof(f108,plain,
( leq(n0,sK24)
| ~ sP2 ),
inference(cnf_transformation,[],[f41]) ).
fof(f109,plain,
( init != a_select3(id_ds1_filter_init,sK23,sK24)
| ~ sP2 ),
inference(cnf_transformation,[],[f41]) ).
fof(f110,plain,
( leq(sK26,n5)
| ~ sP1 ),
inference(cnf_transformation,[],[f44]) ).
fof(f111,plain,
( leq(sK25,n5)
| ~ sP1 ),
inference(cnf_transformation,[],[f44]) ).
fof(f112,plain,
( leq(n0,sK26)
| ~ sP1 ),
inference(cnf_transformation,[],[f44]) ).
fof(f113,plain,
( leq(n0,sK25)
| ~ sP1 ),
inference(cnf_transformation,[],[f44]) ).
fof(f114,plain,
( gt(pv63,sK25)
| ~ sP1 ),
inference(cnf_transformation,[],[f44]) ).
fof(f115,plain,
( init != a_select3(id_ds1_filter_init,sK25,sK26)
| ~ sP1 ),
inference(cnf_transformation,[],[f44]) ).
fof(f116,plain,
( leq(sK28,n5)
| ~ sP0 ),
inference(cnf_transformation,[],[f47]) ).
fof(f118,plain,
( leq(n0,sK28)
| ~ sP0 ),
inference(cnf_transformation,[],[f47]) ).
fof(f120,plain,
( gt(pv64,sK28)
| ~ sP0 ),
inference(cnf_transformation,[],[f47]) ).
fof(f121,plain,
( pv63 = sK27
| ~ sP0 ),
inference(cnf_transformation,[],[f47]) ).
fof(f122,plain,
( init != a_select3(id_ds1_filter_init,sK27,sK28)
| ~ sP0 ),
inference(cnf_transformation,[],[f47]) ).
fof(f123,plain,
! [X0,X1] :
( init = a_select3(id_ds1_filter_init,X0,X1)
| pv64 = X1
| pv63 != X0
| ~ leq(X1,pv64)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n5)
| ~ leq(X1,n5)
| pv63 = pv64
| ~ leq(n0,pv5)
| ~ leq(n0,pv63)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(pv63,n5)
| ~ leq(pv64,n5)
| leq(sK30,n5)
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 ),
inference(cnf_transformation,[],[f49]) ).
fof(f124,plain,
! [X0,X1] :
( init = a_select3(id_ds1_filter_init,X0,X1)
| pv64 = X1
| pv63 != X0
| ~ leq(X1,pv64)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n5)
| ~ leq(X1,n5)
| pv63 = pv64
| ~ leq(n0,pv5)
| ~ leq(n0,pv63)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(pv63,n5)
| ~ leq(pv64,n5)
| leq(sK29,n2)
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 ),
inference(cnf_transformation,[],[f49]) ).
fof(f125,plain,
! [X0,X1] :
( init = a_select3(id_ds1_filter_init,X0,X1)
| pv64 = X1
| pv63 != X0
| ~ leq(X1,pv64)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n5)
| ~ leq(X1,n5)
| pv63 = pv64
| ~ leq(n0,pv5)
| ~ leq(n0,pv63)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(pv63,n5)
| ~ leq(pv64,n5)
| leq(n0,sK30)
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 ),
inference(cnf_transformation,[],[f49]) ).
fof(f126,plain,
! [X0,X1] :
( init = a_select3(id_ds1_filter_init,X0,X1)
| pv64 = X1
| pv63 != X0
| ~ leq(X1,pv64)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n5)
| ~ leq(X1,n5)
| pv63 = pv64
| ~ leq(n0,pv5)
| ~ leq(n0,pv63)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(pv63,n5)
| ~ leq(pv64,n5)
| leq(n0,sK29)
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 ),
inference(cnf_transformation,[],[f49]) ).
fof(f127,plain,
! [X0,X1] :
( init = a_select3(id_ds1_filter_init,X0,X1)
| pv64 = X1
| pv63 != X0
| ~ leq(X1,pv64)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n5)
| ~ leq(X1,n5)
| 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,sK29,sK30)
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 ),
inference(cnf_transformation,[],[f49]) ).
fof(f128,plain,
pv64 != sK9,
inference(definition_unfolding,[],[f66,f72]) ).
fof(f129,plain,
leq(n0,sK9),
inference(definition_unfolding,[],[f64,f72]) ).
fof(f130,plain,
leq(sK9,n5),
inference(definition_unfolding,[],[f61,f72]) ).
fof(f131,plain,
! [X16,X17] :
( init = a_select3(id_ds1_filter_init,X16,X17)
| sK9 != X16
| ~ gt(pv64,X17)
| ~ leq(n0,X16)
| ~ leq(n0,X17)
| ~ leq(X16,n5)
| ~ leq(X17,n5) ),
inference(definition_unfolding,[],[f52,f72]) ).
fof(f132,plain,
! [X18,X19] :
( init = a_select3(id_ds1_filter_init,X18,X19)
| ~ gt(sK9,X18)
| ~ leq(n0,X18)
| ~ leq(n0,X19)
| ~ leq(X18,n5)
| ~ leq(X19,n5) ),
inference(definition_unfolding,[],[f51,f72]) ).
fof(f133,plain,
! [X21,X20] :
( init = a_select3(id_ds1_filter_init,X20,X21)
| ~ leq(n0,X21)
| ~ leq(X21,n5)
| ~ leq(n0,X20)
| ~ leq(X20,pred(sK9)) ),
inference(definition_unfolding,[],[f50,f72]) ).
fof(f134,plain,
( leq(sK23,pred(sK9))
| ~ sP2 ),
inference(definition_unfolding,[],[f105,f72]) ).
fof(f135,plain,
( gt(sK9,sK25)
| ~ sP1 ),
inference(definition_unfolding,[],[f114,f72]) ).
fof(f136,plain,
( sK9 = sK27
| ~ sP0 ),
inference(definition_unfolding,[],[f121,f72]) ).
fof(f137,plain,
! [X0,X1] :
( init = a_select3(id_ds1_filter_init,X0,X1)
| pv64 = X1
| sK9 != X0
| ~ leq(X1,pv64)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n5)
| ~ leq(X1,n5)
| pv64 = sK9
| ~ leq(n0,pv5)
| ~ leq(n0,sK9)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK9,n5)
| ~ leq(pv64,n5)
| init != a_select3(h_ds1_filter_init,sK29,sK30)
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 ),
inference(definition_unfolding,[],[f127,f72,f72,f72,f72]) ).
fof(f138,plain,
! [X0,X1] :
( init = a_select3(id_ds1_filter_init,X0,X1)
| pv64 = X1
| sK9 != X0
| ~ leq(X1,pv64)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n5)
| ~ leq(X1,n5)
| pv64 = sK9
| ~ leq(n0,pv5)
| ~ leq(n0,sK9)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK9,n5)
| ~ leq(pv64,n5)
| leq(n0,sK29)
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 ),
inference(definition_unfolding,[],[f126,f72,f72,f72,f72]) ).
fof(f139,plain,
! [X0,X1] :
( init = a_select3(id_ds1_filter_init,X0,X1)
| pv64 = X1
| sK9 != X0
| ~ leq(X1,pv64)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n5)
| ~ leq(X1,n5)
| pv64 = sK9
| ~ leq(n0,pv5)
| ~ leq(n0,sK9)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK9,n5)
| ~ leq(pv64,n5)
| leq(n0,sK30)
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 ),
inference(definition_unfolding,[],[f125,f72,f72,f72,f72]) ).
fof(f140,plain,
! [X0,X1] :
( init = a_select3(id_ds1_filter_init,X0,X1)
| pv64 = X1
| sK9 != X0
| ~ leq(X1,pv64)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n5)
| ~ leq(X1,n5)
| pv64 = sK9
| ~ leq(n0,pv5)
| ~ leq(n0,sK9)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK9,n5)
| ~ leq(pv64,n5)
| leq(sK29,n2)
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 ),
inference(definition_unfolding,[],[f124,f72,f72,f72,f72]) ).
fof(f141,plain,
! [X0,X1] :
( init = a_select3(id_ds1_filter_init,X0,X1)
| pv64 = X1
| sK9 != X0
| ~ leq(X1,pv64)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n5)
| ~ leq(X1,n5)
| pv64 = sK9
| ~ leq(n0,pv5)
| ~ leq(n0,sK9)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK9,n5)
| ~ leq(pv64,n5)
| leq(sK30,n5)
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 ),
inference(definition_unfolding,[],[f123,f72,f72,f72,f72]) ).
fof(f142,definition,
~ sP31(init),
introduced(definition,[new_symbols(definition,[sP31])],[inequality_splitting_name_introduction]) ).
fof(f143,plain,
sP31(a_select3(id_ds1_filter_init,sK9,sK10)),
inference(inequality_splitting,[],[f74,f142]) ).
fof(f144,definition,
~ sP32(pv64),
introduced(definition,[new_symbols(definition,[sP32])],[inequality_splitting_name_introduction]) ).
fof(f145,plain,
sP32(sK10),
inference(inequality_splitting,[],[f73,f144]) ).
fof(f146,definition,
~ sP33(pv64),
introduced(definition,[new_symbols(definition,[sP33])],[inequality_splitting_name_introduction]) ).
fof(f147,plain,
sP33(sK9),
inference(inequality_splitting,[],[f128,f146]) ).
fof(f148,definition,
~ sP34(sK9),
introduced(definition,[new_symbols(definition,[sP34])],[inequality_splitting_name_introduction]) ).
fof(f149,plain,
! [X16,X17] :
( init = a_select3(id_ds1_filter_init,X16,X17)
| sP34(X16)
| ~ gt(pv64,X17)
| ~ leq(n0,X16)
| ~ leq(n0,X17)
| ~ leq(X16,n5)
| ~ leq(X17,n5) ),
inference(inequality_splitting,[],[f131,f148]) ).
fof(f150,definition,
~ sP35(init),
introduced(definition,[new_symbols(definition,[sP35])],[inequality_splitting_name_introduction]) ).
fof(f151,plain,
( sP35(a_select3(phi_ds1_filter_init,sK11,sK12))
| ~ sP8 ),
inference(inequality_splitting,[],[f79,f150]) ).
fof(f152,definition,
~ sP36(init),
introduced(definition,[new_symbols(definition,[sP36])],[inequality_splitting_name_introduction]) ).
fof(f153,plain,
( sP36(a_select3(dv_ds1_filter_init,sK13,sK14))
| ~ sP7 ),
inference(inequality_splitting,[],[f84,f152]) ).
fof(f154,definition,
~ sP37(init),
introduced(definition,[new_symbols(definition,[sP37])],[inequality_splitting_name_introduction]) ).
fof(f155,plain,
( sP37(a_select3(q_ds1_filter_init,sK15,sK16))
| ~ sP6 ),
inference(inequality_splitting,[],[f89,f154]) ).
fof(f156,definition,
~ sP38(init),
introduced(definition,[new_symbols(definition,[sP38])],[inequality_splitting_name_introduction]) ).
fof(f157,plain,
( sP38(a_select3(r_ds1_filter_init,sK17,sK18))
| ~ sP5 ),
inference(inequality_splitting,[],[f94,f156]) ).
fof(f158,definition,
~ sP39(init),
introduced(definition,[new_symbols(definition,[sP39])],[inequality_splitting_name_introduction]) ).
fof(f159,plain,
( sP39(a_select3(xhatmin_ds1_filter_init,sK19,sK20))
| ~ sP4 ),
inference(inequality_splitting,[],[f99,f158]) ).
fof(f160,definition,
~ sP40(init),
introduced(definition,[new_symbols(definition,[sP40])],[inequality_splitting_name_introduction]) ).
fof(f161,plain,
( sP40(a_select3(pminus_ds1_filter_init,sK21,sK22))
| ~ sP3 ),
inference(inequality_splitting,[],[f104,f160]) ).
fof(f162,definition,
~ sP41(init),
introduced(definition,[new_symbols(definition,[sP41])],[inequality_splitting_name_introduction]) ).
fof(f163,plain,
( sP41(a_select3(id_ds1_filter_init,sK23,sK24))
| ~ sP2 ),
inference(inequality_splitting,[],[f109,f162]) ).
fof(f164,definition,
~ sP42(init),
introduced(definition,[new_symbols(definition,[sP42])],[inequality_splitting_name_introduction]) ).
fof(f165,plain,
( sP42(a_select3(id_ds1_filter_init,sK25,sK26))
| ~ sP1 ),
inference(inequality_splitting,[],[f115,f164]) ).
fof(f166,definition,
~ sP43(init),
introduced(definition,[new_symbols(definition,[sP43])],[inequality_splitting_name_introduction]) ).
fof(f167,plain,
( sP43(a_select3(id_ds1_filter_init,sK27,sK28))
| ~ sP0 ),
inference(inequality_splitting,[],[f122,f166]) ).
fof(f168,definition,
~ sP44(sK9),
introduced(definition,[new_symbols(definition,[sP44])],[inequality_splitting_name_introduction]) ).
fof(f169,definition,
~ sP45(init),
introduced(definition,[new_symbols(definition,[sP45])],[inequality_splitting_name_introduction]) ).
fof(f170,plain,
! [X0,X1] :
( init = a_select3(id_ds1_filter_init,X0,X1)
| pv64 = X1
| sP44(X0)
| ~ leq(X1,pv64)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n5)
| ~ leq(X1,n5)
| pv64 = sK9
| ~ leq(n0,pv5)
| ~ leq(n0,sK9)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK9,n5)
| ~ leq(pv64,n5)
| sP45(a_select3(h_ds1_filter_init,sK29,sK30))
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 ),
inference(inequality_splitting,[],[f137,f169,f168]) ).
fof(f171,definition,
~ sP46(sK9),
introduced(definition,[new_symbols(definition,[sP46])],[inequality_splitting_name_introduction]) ).
fof(f172,plain,
! [X0,X1] :
( init = a_select3(id_ds1_filter_init,X0,X1)
| pv64 = X1
| sP46(X0)
| ~ leq(X1,pv64)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n5)
| ~ leq(X1,n5)
| pv64 = sK9
| ~ leq(n0,pv5)
| ~ leq(n0,sK9)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK9,n5)
| ~ leq(pv64,n5)
| leq(n0,sK29)
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 ),
inference(inequality_splitting,[],[f138,f171]) ).
fof(f173,definition,
~ sP47(sK9),
introduced(definition,[new_symbols(definition,[sP47])],[inequality_splitting_name_introduction]) ).
fof(f174,plain,
! [X0,X1] :
( init = a_select3(id_ds1_filter_init,X0,X1)
| pv64 = X1
| sP47(X0)
| ~ leq(X1,pv64)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n5)
| ~ leq(X1,n5)
| pv64 = sK9
| ~ leq(n0,pv5)
| ~ leq(n0,sK9)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK9,n5)
| ~ leq(pv64,n5)
| leq(n0,sK30)
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 ),
inference(inequality_splitting,[],[f139,f173]) ).
fof(f175,definition,
~ sP48(sK9),
introduced(definition,[new_symbols(definition,[sP48])],[inequality_splitting_name_introduction]) ).
fof(f176,plain,
! [X0,X1] :
( init = a_select3(id_ds1_filter_init,X0,X1)
| pv64 = X1
| sP48(X0)
| ~ leq(X1,pv64)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n5)
| ~ leq(X1,n5)
| pv64 = sK9
| ~ leq(n0,pv5)
| ~ leq(n0,sK9)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK9,n5)
| ~ leq(pv64,n5)
| leq(sK29,n2)
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 ),
inference(inequality_splitting,[],[f140,f175]) ).
fof(f177,definition,
~ sP49(sK9),
introduced(definition,[new_symbols(definition,[sP49])],[inequality_splitting_name_introduction]) ).
fof(f178,plain,
! [X0,X1] :
( init = a_select3(id_ds1_filter_init,X0,X1)
| pv64 = X1
| sP49(X0)
| ~ leq(X1,pv64)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n5)
| ~ leq(X1,n5)
| pv64 = sK9
| ~ leq(n0,pv5)
| ~ leq(n0,sK9)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK9,n5)
| ~ leq(pv64,n5)
| leq(sK30,n5)
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 ),
inference(inequality_splitting,[],[f141,f177]) ).
fof(f180,definition,
( spl50_1
<=> sP2 ),
introduced(definition,[new_symbols(definition,[spl50_1])],[avatar_definition]) ).
fof(f182,plain,
( sP2
| ~ spl50_1 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f184,definition,
( spl50_2
<=> sP1 ),
introduced(definition,[new_symbols(definition,[spl50_2])],[avatar_definition]) ).
fof(f186,plain,
( sP1
| ~ spl50_2 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f188,definition,
( spl50_3
<=> sP0 ),
introduced(definition,[new_symbols(definition,[spl50_3])],[avatar_definition]) ).
fof(f190,plain,
( sP0
| ~ spl50_3 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f192,definition,
( spl50_4
<=> sP3 ),
introduced(definition,[new_symbols(definition,[spl50_4])],[avatar_definition]) ).
fof(f194,plain,
( sP3
| ~ spl50_4 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f196,definition,
( spl50_5
<=> sP4 ),
introduced(definition,[new_symbols(definition,[spl50_5])],[avatar_definition]) ).
fof(f198,plain,
( sP4
| ~ spl50_5 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f200,definition,
( spl50_6
<=> sP5 ),
introduced(definition,[new_symbols(definition,[spl50_6])],[avatar_definition]) ).
fof(f202,plain,
( sP5
| ~ spl50_6 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f204,definition,
( spl50_7
<=> sP6 ),
introduced(definition,[new_symbols(definition,[spl50_7])],[avatar_definition]) ).
fof(f206,plain,
( sP6
| ~ spl50_7 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f208,definition,
( spl50_8
<=> sP7 ),
introduced(definition,[new_symbols(definition,[spl50_8])],[avatar_definition]) ).
fof(f210,plain,
( sP7
| ~ spl50_8 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f212,definition,
( spl50_9
<=> sP8 ),
introduced(definition,[new_symbols(definition,[spl50_9])],[avatar_definition]) ).
fof(f214,plain,
( sP8
| ~ spl50_9 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f216,definition,
( spl50_10
<=> leq(sK30,n5) ),
introduced(definition,[new_symbols(definition,[spl50_10])],[avatar_definition]) ).
fof(f218,plain,
( leq(sK30,n5)
| ~ spl50_10 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f220,definition,
( spl50_11
<=> leq(pv64,n5) ),
introduced(definition,[new_symbols(definition,[spl50_11])],[avatar_definition]) ).
fof(f224,definition,
( spl50_12
<=> leq(sK9,n5) ),
introduced(definition,[new_symbols(definition,[spl50_12])],[avatar_definition]) ).
fof(f225,plain,
( leq(sK9,n5)
| ~ spl50_12 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f228,definition,
( spl50_13
<=> leq(pv5,n998) ),
introduced(definition,[new_symbols(definition,[spl50_13])],[avatar_definition]) ).
fof(f232,definition,
( spl50_14
<=> leq(n0,pv64) ),
introduced(definition,[new_symbols(definition,[spl50_14])],[avatar_definition]) ).
fof(f236,definition,
( spl50_15
<=> leq(n0,sK9) ),
introduced(definition,[new_symbols(definition,[spl50_15])],[avatar_definition]) ).
fof(f237,plain,
( leq(n0,sK9)
| ~ spl50_15 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f240,definition,
( spl50_16
<=> leq(n0,pv5) ),
introduced(definition,[new_symbols(definition,[spl50_16])],[avatar_definition]) ).
fof(f244,definition,
( spl50_17
<=> pv64 = sK9 ),
introduced(definition,[new_symbols(definition,[spl50_17])],[avatar_definition]) ).
fof(f246,plain,
( pv64 = sK9
| ~ spl50_17 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f248,definition,
( spl50_18
<=> ! [X0,X1] :
( init = a_select3(id_ds1_filter_init,X0,X1)
| ~ leq(X1,n5)
| ~ leq(X0,n5)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,pv64)
| sP49(X0)
| pv64 = X1 ) ),
introduced(definition,[new_symbols(definition,[spl50_18])],[avatar_definition]) ).
fof(f249,plain,
( ! [X0,X1] :
( init = a_select3(id_ds1_filter_init,X0,X1)
| ~ leq(X1,n5)
| ~ leq(X0,n5)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,pv64)
| sP49(X0)
| pv64 = X1 )
| ~ spl50_18 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f250,plain,
( spl50_1
| spl50_2
| spl50_3
| spl50_4
| spl50_5
| spl50_6
| spl50_7
| spl50_8
| spl50_9
| spl50_10
| ~ spl50_11
| ~ spl50_12
| ~ spl50_13
| ~ spl50_14
| ~ spl50_15
| ~ spl50_16
| spl50_17
| spl50_18 ),
inference(avatar_split_clause,[],[f178,f248,f244,f240,f236,f232,f228,f224,f220,f216,f212,f208,f204,f200,f196,f192,f188,f184,f180]) ).
fof(f252,definition,
( spl50_19
<=> leq(sK29,n2) ),
introduced(definition,[new_symbols(definition,[spl50_19])],[avatar_definition]) ).
fof(f254,plain,
( leq(sK29,n2)
| ~ spl50_19 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f256,definition,
( spl50_20
<=> ! [X0,X1] :
( init = a_select3(id_ds1_filter_init,X0,X1)
| ~ leq(X1,n5)
| ~ leq(X0,n5)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,pv64)
| sP48(X0)
| pv64 = X1 ) ),
introduced(definition,[new_symbols(definition,[spl50_20])],[avatar_definition]) ).
fof(f257,plain,
( ! [X0,X1] :
( init = a_select3(id_ds1_filter_init,X0,X1)
| ~ leq(X1,n5)
| ~ leq(X0,n5)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,pv64)
| sP48(X0)
| pv64 = X1 )
| ~ spl50_20 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f258,plain,
( spl50_1
| spl50_2
| spl50_3
| spl50_4
| spl50_5
| spl50_6
| spl50_7
| spl50_8
| spl50_9
| spl50_19
| ~ spl50_11
| ~ spl50_12
| ~ spl50_13
| ~ spl50_14
| ~ spl50_15
| ~ spl50_16
| spl50_17
| spl50_20 ),
inference(avatar_split_clause,[],[f176,f256,f244,f240,f236,f232,f228,f224,f220,f252,f212,f208,f204,f200,f196,f192,f188,f184,f180]) ).
fof(f260,definition,
( spl50_21
<=> leq(n0,sK30) ),
introduced(definition,[new_symbols(definition,[spl50_21])],[avatar_definition]) ).
fof(f262,plain,
( leq(n0,sK30)
| ~ spl50_21 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f264,definition,
( spl50_22
<=> ! [X0,X1] :
( init = a_select3(id_ds1_filter_init,X0,X1)
| ~ leq(X1,n5)
| ~ leq(X0,n5)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,pv64)
| sP47(X0)
| pv64 = X1 ) ),
introduced(definition,[new_symbols(definition,[spl50_22])],[avatar_definition]) ).
fof(f265,plain,
( ! [X0,X1] :
( init = a_select3(id_ds1_filter_init,X0,X1)
| ~ leq(X1,n5)
| ~ leq(X0,n5)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,pv64)
| sP47(X0)
| pv64 = X1 )
| ~ spl50_22 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f266,plain,
( spl50_1
| spl50_2
| spl50_3
| spl50_4
| spl50_5
| spl50_6
| spl50_7
| spl50_8
| spl50_9
| spl50_21
| ~ spl50_11
| ~ spl50_12
| ~ spl50_13
| ~ spl50_14
| ~ spl50_15
| ~ spl50_16
| spl50_17
| spl50_22 ),
inference(avatar_split_clause,[],[f174,f264,f244,f240,f236,f232,f228,f224,f220,f260,f212,f208,f204,f200,f196,f192,f188,f184,f180]) ).
fof(f268,definition,
( spl50_23
<=> leq(n0,sK29) ),
introduced(definition,[new_symbols(definition,[spl50_23])],[avatar_definition]) ).
fof(f270,plain,
( leq(n0,sK29)
| ~ spl50_23 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f272,definition,
( spl50_24
<=> ! [X0,X1] :
( init = a_select3(id_ds1_filter_init,X0,X1)
| ~ leq(X1,n5)
| ~ leq(X0,n5)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,pv64)
| sP46(X0)
| pv64 = X1 ) ),
introduced(definition,[new_symbols(definition,[spl50_24])],[avatar_definition]) ).
fof(f273,plain,
( ! [X0,X1] :
( init = a_select3(id_ds1_filter_init,X0,X1)
| ~ leq(X1,n5)
| ~ leq(X0,n5)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,pv64)
| sP46(X0)
| pv64 = X1 )
| ~ spl50_24 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f274,plain,
( spl50_1
| spl50_2
| spl50_3
| spl50_4
| spl50_5
| spl50_6
| spl50_7
| spl50_8
| spl50_9
| spl50_23
| ~ spl50_11
| ~ spl50_12
| ~ spl50_13
| ~ spl50_14
| ~ spl50_15
| ~ spl50_16
| spl50_17
| spl50_24 ),
inference(avatar_split_clause,[],[f172,f272,f244,f240,f236,f232,f228,f224,f220,f268,f212,f208,f204,f200,f196,f192,f188,f184,f180]) ).
fof(f276,definition,
( spl50_25
<=> sP45(a_select3(h_ds1_filter_init,sK29,sK30)) ),
introduced(definition,[new_symbols(definition,[spl50_25])],[avatar_definition]) ).
fof(f278,plain,
( sP45(a_select3(h_ds1_filter_init,sK29,sK30))
| ~ spl50_25 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f280,definition,
( spl50_26
<=> ! [X0,X1] :
( init = a_select3(id_ds1_filter_init,X0,X1)
| ~ leq(X1,n5)
| ~ leq(X0,n5)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,pv64)
| sP44(X0)
| pv64 = X1 ) ),
introduced(definition,[new_symbols(definition,[spl50_26])],[avatar_definition]) ).
fof(f281,plain,
( ! [X0,X1] :
( init = a_select3(id_ds1_filter_init,X0,X1)
| ~ leq(X1,n5)
| ~ leq(X0,n5)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,pv64)
| sP44(X0)
| pv64 = X1 )
| ~ spl50_26 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f282,plain,
( spl50_1
| spl50_2
| spl50_3
| spl50_4
| spl50_5
| spl50_6
| spl50_7
| spl50_8
| spl50_9
| spl50_25
| ~ spl50_11
| ~ spl50_12
| ~ spl50_13
| ~ spl50_14
| ~ spl50_15
| ~ spl50_16
| spl50_17
| spl50_26 ),
inference(avatar_split_clause,[],[f170,f280,f244,f240,f236,f232,f228,f224,f220,f276,f212,f208,f204,f200,f196,f192,f188,f184,f180]) ).
fof(f284,definition,
( spl50_27
<=> sK9 = sK27 ),
introduced(definition,[new_symbols(definition,[spl50_27])],[avatar_definition]) ).
fof(f286,plain,
( sK9 = sK27
| ~ spl50_27 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f287,plain,
( ~ spl50_3
| spl50_27 ),
inference(avatar_split_clause,[],[f136,f284,f188]) ).
fof(f289,definition,
( spl50_28
<=> gt(sK9,sK25) ),
introduced(definition,[new_symbols(definition,[spl50_28])],[avatar_definition]) ).
fof(f291,plain,
( gt(sK9,sK25)
| ~ spl50_28 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f292,plain,
( ~ spl50_2
| spl50_28 ),
inference(avatar_split_clause,[],[f135,f289,f184]) ).
fof(f294,definition,
( spl50_29
<=> leq(sK23,pred(sK9)) ),
introduced(definition,[new_symbols(definition,[spl50_29])],[avatar_definition]) ).
fof(f296,plain,
( leq(sK23,pred(sK9))
| ~ spl50_29 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f297,plain,
( ~ spl50_1
| spl50_29 ),
inference(avatar_split_clause,[],[f134,f294,f180]) ).
fof(f298,plain,
spl50_11,
inference(avatar_split_clause,[],[f60,f220]) ).
fof(f299,plain,
spl50_12,
inference(avatar_split_clause,[],[f130,f224]) ).
fof(f300,plain,
spl50_13,
inference(avatar_split_clause,[],[f62,f228]) ).
fof(f301,plain,
spl50_14,
inference(avatar_split_clause,[],[f63,f232]) ).
fof(f302,plain,
spl50_15,
inference(avatar_split_clause,[],[f129,f236]) ).
fof(f303,plain,
spl50_16,
inference(avatar_split_clause,[],[f65,f240]) ).
fof(f311,plain,
! [X0,X1] :
( ~ sP40(a_select3(pminus_ds1_filter_init,X0,X1))
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n5)
| ~ leq(X1,n5) ),
inference(superposition,[],[f160,f53]) ).
fof(f324,plain,
! [X0,X1] :
( ~ sP39(a_select3(xhatmin_ds1_filter_init,X0,X1))
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n5)
| ~ leq(X1,n0) ),
inference(superposition,[],[f158,f54]) ).
fof(f341,plain,
! [X0,X1] :
( ~ sP38(a_select3(r_ds1_filter_init,X0,X1))
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n2)
| ~ leq(X1,n2) ),
inference(superposition,[],[f156,f55]) ).
fof(f360,plain,
! [X0,X1] :
( ~ sP37(a_select3(q_ds1_filter_init,X0,X1))
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n5)
| ~ leq(X1,n5) ),
inference(superposition,[],[f154,f56]) ).
fof(f381,plain,
! [X0,X1] :
( ~ sP36(a_select3(dv_ds1_filter_init,X0,X1))
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n5)
| ~ leq(X1,n0) ),
inference(superposition,[],[f152,f57]) ).
fof(f404,plain,
! [X0,X1] :
( ~ sP35(a_select3(phi_ds1_filter_init,X0,X1))
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n5)
| ~ leq(X1,n5) ),
inference(superposition,[],[f150,f58]) ).
fof(f439,plain,
! [X0,X1] :
( ~ sP45(a_select3(h_ds1_filter_init,X0,X1))
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n2)
| ~ leq(X1,n5) ),
inference(superposition,[],[f169,f59]) ).
fof(f443,plain,
( sP41(init)
| ~ sP2
| ~ leq(n0,sK24)
| ~ leq(sK24,n5)
| ~ leq(n0,sK23)
| ~ leq(sK23,pred(sK9)) ),
inference(superposition,[],[f163,f133]) ).
fof(f452,plain,
( sP42(init)
| ~ sP1
| ~ gt(sK9,sK25)
| ~ leq(n0,sK25)
| ~ leq(n0,sK26)
| ~ leq(sK25,n5)
| ~ leq(sK26,n5) ),
inference(superposition,[],[f165,f132]) ).
fof(f462,plain,
( sP43(init)
| ~ sP0
| sP34(sK27)
| ~ gt(pv64,sK28)
| ~ leq(n0,sK27)
| ~ leq(n0,sK28)
| ~ leq(sK27,n5)
| ~ leq(sK28,n5) ),
inference(superposition,[],[f167,f149]) ).
fof(f469,plain,
( ~ leq(n0,sK21)
| ~ leq(n0,sK22)
| ~ leq(sK21,n5)
| ~ leq(sK22,n5)
| ~ sP3 ),
inference(resolution,[],[f311,f161]) ).
fof(f472,plain,
( ~ leq(n0,sK22)
| ~ leq(sK21,n5)
| ~ leq(sK22,n5)
| ~ sP3 ),
inference(forward_subsumption_resolution,[],[f469,f103]) ).
fof(f473,plain,
( ~ leq(sK21,n5)
| ~ leq(sK22,n5)
| ~ sP3 ),
inference(forward_subsumption_resolution,[],[f472,f102]) ).
fof(f474,plain,
( ~ leq(sK22,n5)
| ~ sP3 ),
inference(forward_subsumption_resolution,[],[f473,f101]) ).
fof(f475,plain,
~ sP3,
inference(forward_subsumption_resolution,[],[f474,f100]) ).
fof(f476,plain,
( $false
| ~ spl50_4 ),
inference(forward_subsumption_resolution,[],[f475,f194]) ).
fof(f477,plain,
~ spl50_4,
inference(avatar_contradiction_clause,[],[f476]) ).
fof(f496,plain,
( ~ leq(n0,sK19)
| ~ leq(n0,sK20)
| ~ leq(sK19,n5)
| ~ leq(sK20,n0)
| ~ sP4 ),
inference(resolution,[],[f324,f159]) ).
fof(f499,plain,
( ~ leq(n0,sK20)
| ~ leq(sK19,n5)
| ~ leq(sK20,n0)
| ~ sP4 ),
inference(forward_subsumption_resolution,[],[f496,f98]) ).
fof(f500,plain,
( ~ leq(sK19,n5)
| ~ leq(sK20,n0)
| ~ sP4 ),
inference(forward_subsumption_resolution,[],[f499,f97]) ).
fof(f501,plain,
( ~ leq(sK20,n0)
| ~ sP4 ),
inference(forward_subsumption_resolution,[],[f500,f96]) ).
fof(f502,plain,
~ sP4,
inference(forward_subsumption_resolution,[],[f501,f95]) ).
fof(f503,plain,
( $false
| ~ spl50_5 ),
inference(forward_subsumption_resolution,[],[f502,f198]) ).
fof(f504,plain,
~ spl50_5,
inference(avatar_contradiction_clause,[],[f503]) ).
fof(f523,plain,
( ~ leq(n0,sK17)
| ~ leq(n0,sK18)
| ~ leq(sK17,n2)
| ~ leq(sK18,n2)
| ~ sP5 ),
inference(resolution,[],[f341,f157]) ).
fof(f526,plain,
( ~ leq(n0,sK18)
| ~ leq(sK17,n2)
| ~ leq(sK18,n2)
| ~ sP5 ),
inference(forward_subsumption_resolution,[],[f523,f93]) ).
fof(f527,plain,
( ~ leq(sK17,n2)
| ~ leq(sK18,n2)
| ~ sP5 ),
inference(forward_subsumption_resolution,[],[f526,f92]) ).
fof(f528,plain,
( ~ leq(sK18,n2)
| ~ sP5 ),
inference(forward_subsumption_resolution,[],[f527,f91]) ).
fof(f529,plain,
~ sP5,
inference(forward_subsumption_resolution,[],[f528,f90]) ).
fof(f530,plain,
( $false
| ~ spl50_6 ),
inference(forward_subsumption_resolution,[],[f529,f202]) ).
fof(f531,plain,
~ spl50_6,
inference(avatar_contradiction_clause,[],[f530]) ).
fof(f550,plain,
( ~ leq(n0,sK15)
| ~ leq(n0,sK16)
| ~ leq(sK15,n5)
| ~ leq(sK16,n5)
| ~ sP6 ),
inference(resolution,[],[f360,f155]) ).
fof(f553,plain,
( ~ leq(n0,sK16)
| ~ leq(sK15,n5)
| ~ leq(sK16,n5)
| ~ sP6 ),
inference(forward_subsumption_resolution,[],[f550,f88]) ).
fof(f554,plain,
( ~ leq(sK15,n5)
| ~ leq(sK16,n5)
| ~ sP6 ),
inference(forward_subsumption_resolution,[],[f553,f87]) ).
fof(f555,plain,
( ~ leq(sK16,n5)
| ~ sP6 ),
inference(forward_subsumption_resolution,[],[f554,f86]) ).
fof(f556,plain,
~ sP6,
inference(forward_subsumption_resolution,[],[f555,f85]) ).
fof(f557,plain,
( $false
| ~ spl50_7 ),
inference(forward_subsumption_resolution,[],[f556,f206]) ).
fof(f558,plain,
~ spl50_7,
inference(avatar_contradiction_clause,[],[f557]) ).
fof(f577,plain,
( ~ leq(n0,sK13)
| ~ leq(n0,sK14)
| ~ leq(sK13,n5)
| ~ leq(sK14,n0)
| ~ sP7 ),
inference(resolution,[],[f381,f153]) ).
fof(f580,plain,
( ~ leq(n0,sK14)
| ~ leq(sK13,n5)
| ~ leq(sK14,n0)
| ~ sP7 ),
inference(forward_subsumption_resolution,[],[f577,f83]) ).
fof(f581,plain,
( ~ leq(sK13,n5)
| ~ leq(sK14,n0)
| ~ sP7 ),
inference(forward_subsumption_resolution,[],[f580,f82]) ).
fof(f582,plain,
( ~ leq(sK14,n0)
| ~ sP7 ),
inference(forward_subsumption_resolution,[],[f581,f81]) ).
fof(f583,plain,
~ sP7,
inference(forward_subsumption_resolution,[],[f582,f80]) ).
fof(f584,plain,
( $false
| ~ spl50_8 ),
inference(forward_subsumption_resolution,[],[f583,f210]) ).
fof(f585,plain,
~ spl50_8,
inference(avatar_contradiction_clause,[],[f584]) ).
fof(f604,plain,
( ~ leq(n0,sK11)
| ~ leq(n0,sK12)
| ~ leq(sK11,n5)
| ~ leq(sK12,n5)
| ~ sP8 ),
inference(resolution,[],[f404,f151]) ).
fof(f607,plain,
( ~ leq(n0,sK12)
| ~ leq(sK11,n5)
| ~ leq(sK12,n5)
| ~ sP8 ),
inference(forward_subsumption_resolution,[],[f604,f78]) ).
fof(f608,plain,
( ~ leq(sK11,n5)
| ~ leq(sK12,n5)
| ~ sP8 ),
inference(forward_subsumption_resolution,[],[f607,f77]) ).
fof(f609,plain,
( ~ leq(sK12,n5)
| ~ sP8 ),
inference(forward_subsumption_resolution,[],[f608,f76]) ).
fof(f610,plain,
~ sP8,
inference(forward_subsumption_resolution,[],[f609,f75]) ).
fof(f611,plain,
( $false
| ~ spl50_9 ),
inference(forward_subsumption_resolution,[],[f610,f214]) ).
fof(f612,plain,
~ spl50_9,
inference(avatar_contradiction_clause,[],[f611]) ).
fof(f614,plain,
( sP33(pv64)
| ~ spl50_17 ),
inference(superposition,[],[f147,f246]) ).
fof(f625,plain,
( $false
| ~ spl50_17 ),
inference(forward_subsumption_resolution,[],[f614,f146]) ).
fof(f626,plain,
~ spl50_17,
inference(avatar_contradiction_clause,[],[f625]) ).
fof(f629,plain,
( ~ sP0
| sP34(sK27)
| ~ gt(pv64,sK28)
| ~ leq(n0,sK27)
| ~ leq(n0,sK28)
| ~ leq(sK27,n5)
| ~ leq(sK28,n5) ),
inference(forward_subsumption_resolution,[],[f462,f166]) ).
fof(f632,plain,
( sP34(sK27)
| ~ gt(pv64,sK28)
| ~ leq(n0,sK27)
| ~ leq(n0,sK28)
| ~ leq(sK27,n5)
| ~ leq(sK28,n5)
| ~ spl50_3 ),
inference(forward_subsumption_resolution,[],[f629,f190]) ).
fof(f636,definition,
( spl50_30
<=> leq(sK28,n5) ),
introduced(definition,[new_symbols(definition,[spl50_30])],[avatar_definition]) ).
fof(f638,plain,
( ~ leq(sK28,n5)
| spl50_30 ),
inference(avatar_component_clause,[],[f636]) ).
fof(f640,definition,
( spl50_31
<=> leq(sK27,n5) ),
introduced(definition,[new_symbols(definition,[spl50_31])],[avatar_definition]) ).
fof(f644,definition,
( spl50_32
<=> leq(n0,sK28) ),
introduced(definition,[new_symbols(definition,[spl50_32])],[avatar_definition]) ).
fof(f646,plain,
( ~ leq(n0,sK28)
| spl50_32 ),
inference(avatar_component_clause,[],[f644]) ).
fof(f648,definition,
( spl50_33
<=> leq(n0,sK27) ),
introduced(definition,[new_symbols(definition,[spl50_33])],[avatar_definition]) ).
fof(f652,definition,
( spl50_34
<=> gt(pv64,sK28) ),
introduced(definition,[new_symbols(definition,[spl50_34])],[avatar_definition]) ).
fof(f654,plain,
( ~ gt(pv64,sK28)
| spl50_34 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f656,definition,
( spl50_35
<=> sP34(sK27) ),
introduced(definition,[new_symbols(definition,[spl50_35])],[avatar_definition]) ).
fof(f659,plain,
( ~ spl50_30
| ~ spl50_31
| ~ spl50_32
| ~ spl50_33
| ~ spl50_34
| spl50_35
| ~ spl50_3 ),
inference(avatar_split_clause,[],[f632,f188,f656,f652,f648,f644,f640,f636]) ).
fof(f672,plain,
( ~ sP34(sK27)
| ~ spl50_27 ),
inference(superposition,[],[f148,f286]) ).
fof(f678,plain,
( leq(sK27,n5)
| ~ spl50_12
| ~ spl50_27 ),
inference(superposition,[],[f225,f286]) ).
fof(f679,plain,
( leq(n0,sK27)
| ~ spl50_15
| ~ spl50_27 ),
inference(superposition,[],[f237,f286]) ).
fof(f685,plain,
( spl50_33
| ~ spl50_15
| ~ spl50_27 ),
inference(avatar_split_clause,[],[f679,f284,f236,f648]) ).
fof(f686,plain,
( spl50_31
| ~ spl50_12
| ~ spl50_27 ),
inference(avatar_split_clause,[],[f678,f284,f224,f640]) ).
fof(f687,plain,
( ~ spl50_35
| ~ spl50_27 ),
inference(avatar_split_clause,[],[f672,f284,f656]) ).
fof(f689,plain,
( ~ sP1
| ~ gt(sK9,sK25)
| ~ leq(n0,sK25)
| ~ leq(n0,sK26)
| ~ leq(sK25,n5)
| ~ leq(sK26,n5) ),
inference(forward_subsumption_resolution,[],[f452,f164]) ).
fof(f692,plain,
( ~ gt(sK9,sK25)
| ~ leq(n0,sK25)
| ~ leq(n0,sK26)
| ~ leq(sK25,n5)
| ~ leq(sK26,n5)
| ~ spl50_2 ),
inference(forward_subsumption_resolution,[],[f689,f186]) ).
fof(f699,definition,
( spl50_39
<=> leq(n0,sK25) ),
introduced(definition,[new_symbols(definition,[spl50_39])],[avatar_definition]) ).
fof(f701,plain,
( ~ leq(n0,sK25)
| spl50_39 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f703,definition,
( spl50_40
<=> leq(sK26,n5) ),
introduced(definition,[new_symbols(definition,[spl50_40])],[avatar_definition]) ).
fof(f705,plain,
( ~ leq(sK26,n5)
| spl50_40 ),
inference(avatar_component_clause,[],[f703]) ).
fof(f707,definition,
( spl50_41
<=> leq(n0,sK26) ),
introduced(definition,[new_symbols(definition,[spl50_41])],[avatar_definition]) ).
fof(f709,plain,
( ~ leq(n0,sK26)
| spl50_41 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f711,plain,
( ~ leq(n0,sK25)
| ~ leq(n0,sK26)
| ~ leq(sK25,n5)
| ~ leq(sK26,n5)
| ~ spl50_2
| ~ spl50_28 ),
inference(forward_subsumption_resolution,[],[f692,f291]) ).
fof(f713,definition,
( spl50_42
<=> leq(sK25,n5) ),
introduced(definition,[new_symbols(definition,[spl50_42])],[avatar_definition]) ).
fof(f715,plain,
( ~ leq(sK25,n5)
| spl50_42 ),
inference(avatar_component_clause,[],[f713]) ).
fof(f725,plain,
( ~ spl50_40
| ~ spl50_42
| ~ spl50_41
| ~ spl50_39
| ~ spl50_2
| ~ spl50_28 ),
inference(avatar_split_clause,[],[f711,f289,f184,f699,f707,f713,f703]) ).
fof(f726,plain,
( ~ sP0
| spl50_30 ),
inference(resolution,[],[f638,f116]) ).
fof(f727,plain,
( ~ sP1
| spl50_39 ),
inference(resolution,[],[f701,f113]) ).
fof(f728,plain,
( $false
| ~ spl50_2
| spl50_39 ),
inference(forward_subsumption_resolution,[],[f727,f186]) ).
fof(f729,plain,
( ~ spl50_2
| spl50_39 ),
inference(avatar_contradiction_clause,[],[f728]) ).
fof(f732,plain,
( sP31(init)
| ~ leq(sK10,n5)
| ~ leq(sK9,n5)
| ~ leq(n0,sK10)
| ~ leq(n0,sK9)
| ~ leq(sK10,pv64)
| sP49(sK9)
| pv64 = sK10
| ~ spl50_18 ),
inference(superposition,[],[f143,f249]) ).
fof(f736,plain,
( ~ leq(sK10,n5)
| ~ leq(sK9,n5)
| ~ leq(n0,sK10)
| ~ leq(n0,sK9)
| ~ leq(sK10,pv64)
| sP49(sK9)
| pv64 = sK10
| ~ spl50_18 ),
inference(forward_subsumption_resolution,[],[f732,f142]) ).
fof(f737,plain,
( ~ leq(sK9,n5)
| ~ leq(n0,sK10)
| ~ leq(n0,sK9)
| ~ leq(sK10,pv64)
| sP49(sK9)
| pv64 = sK10
| ~ spl50_18 ),
inference(forward_subsumption_resolution,[],[f736,f67]) ).
fof(f738,plain,
( ~ leq(n0,sK10)
| ~ leq(n0,sK9)
| ~ leq(sK10,pv64)
| sP49(sK9)
| pv64 = sK10
| ~ spl50_12
| ~ spl50_18 ),
inference(forward_subsumption_resolution,[],[f737,f225]) ).
fof(f739,plain,
( ~ leq(n0,sK9)
| ~ leq(sK10,pv64)
| sP49(sK9)
| pv64 = sK10
| ~ spl50_12
| ~ spl50_18 ),
inference(forward_subsumption_resolution,[],[f738,f69]) ).
fof(f740,plain,
( ~ leq(sK10,pv64)
| sP49(sK9)
| pv64 = sK10
| ~ spl50_12
| ~ spl50_15
| ~ spl50_18 ),
inference(forward_subsumption_resolution,[],[f739,f237]) ).
fof(f741,plain,
( sP49(sK9)
| pv64 = sK10
| ~ spl50_12
| ~ spl50_15
| ~ spl50_18 ),
inference(forward_subsumption_resolution,[],[f740,f71]) ).
fof(f742,plain,
( pv64 = sK10
| ~ spl50_12
| ~ spl50_15
| ~ spl50_18 ),
inference(forward_subsumption_resolution,[],[f741,f177]) ).
fof(f747,plain,
( sP32(pv64)
| ~ spl50_12
| ~ spl50_15
| ~ spl50_18 ),
inference(superposition,[],[f145,f742]) ).
fof(f749,plain,
( $false
| ~ spl50_12
| ~ spl50_15
| ~ spl50_18 ),
inference(forward_subsumption_resolution,[],[f747,f144]) ).
fof(f750,plain,
( ~ spl50_12
| ~ spl50_15
| ~ spl50_18 ),
inference(avatar_contradiction_clause,[],[f749]) ).
fof(f751,plain,
( $false
| ~ spl50_3
| spl50_30 ),
inference(forward_subsumption_resolution,[],[f726,f190]) ).
fof(f752,plain,
( ~ spl50_3
| spl50_30 ),
inference(avatar_contradiction_clause,[],[f751]) ).
fof(f776,plain,
( ~ sP0
| spl50_34 ),
inference(resolution,[],[f654,f120]) ).
fof(f777,plain,
( $false
| ~ spl50_3
| spl50_34 ),
inference(forward_subsumption_resolution,[],[f776,f190]) ).
fof(f778,plain,
( ~ spl50_3
| spl50_34 ),
inference(avatar_contradiction_clause,[],[f777]) ).
fof(f779,plain,
( ~ sP0
| spl50_32 ),
inference(resolution,[],[f646,f118]) ).
fof(f780,plain,
( $false
| ~ spl50_3
| spl50_32 ),
inference(forward_subsumption_resolution,[],[f779,f190]) ).
fof(f781,plain,
( ~ spl50_3
| spl50_32 ),
inference(avatar_contradiction_clause,[],[f780]) ).
fof(f832,plain,
( ~ leq(n0,sK29)
| ~ leq(n0,sK30)
| ~ leq(sK29,n2)
| ~ leq(sK30,n5)
| ~ spl50_25 ),
inference(resolution,[],[f439,f278]) ).
fof(f835,plain,
( ~ leq(n0,sK30)
| ~ leq(sK29,n2)
| ~ leq(sK30,n5)
| ~ spl50_23
| ~ spl50_25 ),
inference(forward_subsumption_resolution,[],[f832,f270]) ).
fof(f836,plain,
( ~ leq(sK29,n2)
| ~ leq(sK30,n5)
| ~ spl50_21
| ~ spl50_23
| ~ spl50_25 ),
inference(forward_subsumption_resolution,[],[f835,f262]) ).
fof(f837,plain,
( ~ leq(sK30,n5)
| ~ spl50_19
| ~ spl50_21
| ~ spl50_23
| ~ spl50_25 ),
inference(forward_subsumption_resolution,[],[f836,f254]) ).
fof(f838,plain,
( $false
| ~ spl50_10
| ~ spl50_19
| ~ spl50_21
| ~ spl50_23
| ~ spl50_25 ),
inference(forward_subsumption_resolution,[],[f837,f218]) ).
fof(f839,plain,
( ~ spl50_10
| ~ spl50_19
| ~ spl50_21
| ~ spl50_23
| ~ spl50_25 ),
inference(avatar_contradiction_clause,[],[f838]) ).
fof(f840,plain,
( sP31(init)
| ~ leq(sK10,n5)
| ~ leq(sK9,n5)
| ~ leq(n0,sK10)
| ~ leq(n0,sK9)
| ~ leq(sK10,pv64)
| sP47(sK9)
| pv64 = sK10
| ~ spl50_22 ),
inference(superposition,[],[f143,f265]) ).
fof(f846,plain,
( ~ leq(sK10,n5)
| ~ leq(sK9,n5)
| ~ leq(n0,sK10)
| ~ leq(n0,sK9)
| ~ leq(sK10,pv64)
| sP47(sK9)
| pv64 = sK10
| ~ spl50_22 ),
inference(forward_subsumption_resolution,[],[f840,f142]) ).
fof(f848,plain,
( ~ leq(sK9,n5)
| ~ leq(n0,sK10)
| ~ leq(n0,sK9)
| ~ leq(sK10,pv64)
| sP47(sK9)
| pv64 = sK10
| ~ spl50_22 ),
inference(forward_subsumption_resolution,[],[f846,f67]) ).
fof(f850,plain,
( ~ leq(n0,sK10)
| ~ leq(n0,sK9)
| ~ leq(sK10,pv64)
| sP47(sK9)
| pv64 = sK10
| ~ spl50_12
| ~ spl50_22 ),
inference(forward_subsumption_resolution,[],[f848,f225]) ).
fof(f852,plain,
( ~ leq(n0,sK9)
| ~ leq(sK10,pv64)
| sP47(sK9)
| pv64 = sK10
| ~ spl50_12
| ~ spl50_22 ),
inference(forward_subsumption_resolution,[],[f850,f69]) ).
fof(f854,plain,
( ~ leq(sK10,pv64)
| sP47(sK9)
| pv64 = sK10
| ~ spl50_12
| ~ spl50_15
| ~ spl50_22 ),
inference(forward_subsumption_resolution,[],[f852,f237]) ).
fof(f856,plain,
( sP47(sK9)
| pv64 = sK10
| ~ spl50_12
| ~ spl50_15
| ~ spl50_22 ),
inference(forward_subsumption_resolution,[],[f854,f71]) ).
fof(f858,plain,
( pv64 = sK10
| ~ spl50_12
| ~ spl50_15
| ~ spl50_22 ),
inference(forward_subsumption_resolution,[],[f856,f173]) ).
fof(f869,plain,
( sP31(init)
| ~ leq(sK10,n5)
| ~ leq(sK9,n5)
| ~ leq(n0,sK10)
| ~ leq(n0,sK9)
| ~ leq(sK10,pv64)
| sP46(sK9)
| pv64 = sK10
| ~ spl50_24 ),
inference(superposition,[],[f143,f273]) ).
fof(f875,plain,
( ~ leq(sK10,n5)
| ~ leq(sK9,n5)
| ~ leq(n0,sK10)
| ~ leq(n0,sK9)
| ~ leq(sK10,pv64)
| sP46(sK9)
| pv64 = sK10
| ~ spl50_24 ),
inference(forward_subsumption_resolution,[],[f869,f142]) ).
fof(f877,plain,
( ~ leq(sK9,n5)
| ~ leq(n0,sK10)
| ~ leq(n0,sK9)
| ~ leq(sK10,pv64)
| sP46(sK9)
| pv64 = sK10
| ~ spl50_24 ),
inference(forward_subsumption_resolution,[],[f875,f67]) ).
fof(f879,plain,
( ~ leq(n0,sK10)
| ~ leq(n0,sK9)
| ~ leq(sK10,pv64)
| sP46(sK9)
| pv64 = sK10
| ~ spl50_12
| ~ spl50_24 ),
inference(forward_subsumption_resolution,[],[f877,f225]) ).
fof(f881,plain,
( ~ leq(n0,sK9)
| ~ leq(sK10,pv64)
| sP46(sK9)
| pv64 = sK10
| ~ spl50_12
| ~ spl50_24 ),
inference(forward_subsumption_resolution,[],[f879,f69]) ).
fof(f883,plain,
( ~ leq(sK10,pv64)
| sP46(sK9)
| pv64 = sK10
| ~ spl50_12
| ~ spl50_15
| ~ spl50_24 ),
inference(forward_subsumption_resolution,[],[f881,f237]) ).
fof(f885,plain,
( sP46(sK9)
| pv64 = sK10
| ~ spl50_12
| ~ spl50_15
| ~ spl50_24 ),
inference(forward_subsumption_resolution,[],[f883,f71]) ).
fof(f887,plain,
( pv64 = sK10
| ~ spl50_12
| ~ spl50_15
| ~ spl50_24 ),
inference(forward_subsumption_resolution,[],[f885,f171]) ).
fof(f902,plain,
( sP32(pv64)
| ~ spl50_12
| ~ spl50_15
| ~ spl50_24 ),
inference(superposition,[],[f145,f887]) ).
fof(f904,plain,
( $false
| ~ spl50_12
| ~ spl50_15
| ~ spl50_24 ),
inference(forward_subsumption_resolution,[],[f902,f144]) ).
fof(f905,plain,
( ~ spl50_12
| ~ spl50_15
| ~ spl50_24 ),
inference(avatar_contradiction_clause,[],[f904]) ).
fof(f906,plain,
( sP31(init)
| ~ leq(sK10,n5)
| ~ leq(sK9,n5)
| ~ leq(n0,sK10)
| ~ leq(n0,sK9)
| ~ leq(sK10,pv64)
| sP48(sK9)
| pv64 = sK10
| ~ spl50_20 ),
inference(superposition,[],[f143,f257]) ).
fof(f910,plain,
( ~ leq(sK10,n5)
| ~ leq(sK9,n5)
| ~ leq(n0,sK10)
| ~ leq(n0,sK9)
| ~ leq(sK10,pv64)
| sP48(sK9)
| pv64 = sK10
| ~ spl50_20 ),
inference(forward_subsumption_resolution,[],[f906,f142]) ).
fof(f911,plain,
( ~ leq(sK9,n5)
| ~ leq(n0,sK10)
| ~ leq(n0,sK9)
| ~ leq(sK10,pv64)
| sP48(sK9)
| pv64 = sK10
| ~ spl50_20 ),
inference(forward_subsumption_resolution,[],[f910,f67]) ).
fof(f912,plain,
( ~ leq(n0,sK10)
| ~ leq(n0,sK9)
| ~ leq(sK10,pv64)
| sP48(sK9)
| pv64 = sK10
| ~ spl50_12
| ~ spl50_20 ),
inference(forward_subsumption_resolution,[],[f911,f225]) ).
fof(f913,plain,
( ~ leq(n0,sK9)
| ~ leq(sK10,pv64)
| sP48(sK9)
| pv64 = sK10
| ~ spl50_12
| ~ spl50_20 ),
inference(forward_subsumption_resolution,[],[f912,f69]) ).
fof(f914,plain,
( ~ leq(sK10,pv64)
| sP48(sK9)
| pv64 = sK10
| ~ spl50_12
| ~ spl50_15
| ~ spl50_20 ),
inference(forward_subsumption_resolution,[],[f913,f237]) ).
fof(f915,plain,
( sP48(sK9)
| pv64 = sK10
| ~ spl50_12
| ~ spl50_15
| ~ spl50_20 ),
inference(forward_subsumption_resolution,[],[f914,f71]) ).
fof(f916,plain,
( pv64 = sK10
| ~ spl50_12
| ~ spl50_15
| ~ spl50_20 ),
inference(forward_subsumption_resolution,[],[f915,f175]) ).
fof(f921,plain,
( sP32(pv64)
| ~ spl50_12
| ~ spl50_15
| ~ spl50_20 ),
inference(superposition,[],[f145,f916]) ).
fof(f923,plain,
( $false
| ~ spl50_12
| ~ spl50_15
| ~ spl50_20 ),
inference(forward_subsumption_resolution,[],[f921,f144]) ).
fof(f924,plain,
( ~ spl50_12
| ~ spl50_15
| ~ spl50_20 ),
inference(avatar_contradiction_clause,[],[f923]) ).
fof(f925,plain,
( ~ sP1
| spl50_40 ),
inference(resolution,[],[f705,f110]) ).
fof(f926,plain,
( $false
| ~ spl50_2
| spl50_40 ),
inference(forward_subsumption_resolution,[],[f925,f186]) ).
fof(f927,plain,
( ~ spl50_2
| spl50_40 ),
inference(avatar_contradiction_clause,[],[f926]) ).
fof(f928,plain,
( ~ sP1
| spl50_41 ),
inference(resolution,[],[f709,f112]) ).
fof(f929,plain,
( $false
| ~ spl50_2
| spl50_41 ),
inference(forward_subsumption_resolution,[],[f928,f186]) ).
fof(f930,plain,
( ~ spl50_2
| spl50_41 ),
inference(avatar_contradiction_clause,[],[f929]) ).
fof(f931,plain,
( ~ sP1
| spl50_42 ),
inference(resolution,[],[f715,f111]) ).
fof(f932,plain,
( $false
| ~ spl50_2
| spl50_42 ),
inference(forward_subsumption_resolution,[],[f931,f186]) ).
fof(f933,plain,
( ~ spl50_2
| spl50_42 ),
inference(avatar_contradiction_clause,[],[f932]) ).
fof(f934,plain,
( sP31(init)
| ~ leq(sK10,n5)
| ~ leq(sK9,n5)
| ~ leq(n0,sK10)
| ~ leq(n0,sK9)
| ~ leq(sK10,pv64)
| sP44(sK9)
| pv64 = sK10
| ~ spl50_26 ),
inference(superposition,[],[f143,f281]) ).
fof(f938,plain,
( ~ leq(sK10,n5)
| ~ leq(sK9,n5)
| ~ leq(n0,sK10)
| ~ leq(n0,sK9)
| ~ leq(sK10,pv64)
| sP44(sK9)
| pv64 = sK10
| ~ spl50_26 ),
inference(forward_subsumption_resolution,[],[f934,f142]) ).
fof(f939,plain,
( ~ leq(sK9,n5)
| ~ leq(n0,sK10)
| ~ leq(n0,sK9)
| ~ leq(sK10,pv64)
| sP44(sK9)
| pv64 = sK10
| ~ spl50_26 ),
inference(forward_subsumption_resolution,[],[f938,f67]) ).
fof(f940,plain,
( ~ leq(n0,sK10)
| ~ leq(n0,sK9)
| ~ leq(sK10,pv64)
| sP44(sK9)
| pv64 = sK10
| ~ spl50_12
| ~ spl50_26 ),
inference(forward_subsumption_resolution,[],[f939,f225]) ).
fof(f941,plain,
( ~ leq(n0,sK9)
| ~ leq(sK10,pv64)
| sP44(sK9)
| pv64 = sK10
| ~ spl50_12
| ~ spl50_26 ),
inference(forward_subsumption_resolution,[],[f940,f69]) ).
fof(f942,plain,
( ~ leq(sK10,pv64)
| sP44(sK9)
| pv64 = sK10
| ~ spl50_12
| ~ spl50_15
| ~ spl50_26 ),
inference(forward_subsumption_resolution,[],[f941,f237]) ).
fof(f943,plain,
( sP44(sK9)
| pv64 = sK10
| ~ spl50_12
| ~ spl50_15
| ~ spl50_26 ),
inference(forward_subsumption_resolution,[],[f942,f71]) ).
fof(f944,plain,
( pv64 = sK10
| ~ spl50_12
| ~ spl50_15
| ~ spl50_26 ),
inference(forward_subsumption_resolution,[],[f943,f168]) ).
fof(f949,plain,
( sP32(pv64)
| ~ spl50_12
| ~ spl50_15
| ~ spl50_26 ),
inference(superposition,[],[f145,f944]) ).
fof(f951,plain,
( $false
| ~ spl50_12
| ~ spl50_15
| ~ spl50_26 ),
inference(forward_subsumption_resolution,[],[f949,f144]) ).
fof(f952,plain,
( ~ spl50_12
| ~ spl50_15
| ~ spl50_26 ),
inference(avatar_contradiction_clause,[],[f951]) ).
fof(f953,plain,
( ~ sP2
| ~ leq(n0,sK24)
| ~ leq(sK24,n5)
| ~ leq(n0,sK23)
| ~ leq(sK23,pred(sK9)) ),
inference(forward_subsumption_resolution,[],[f443,f162]) ).
fof(f956,plain,
( ~ leq(n0,sK24)
| ~ leq(sK24,n5)
| ~ leq(n0,sK23)
| ~ leq(sK23,pred(sK9))
| ~ spl50_1 ),
inference(forward_subsumption_resolution,[],[f953,f182]) ).
fof(f959,plain,
( ~ leq(n0,sK24)
| ~ leq(sK24,n5)
| ~ leq(n0,sK23)
| ~ spl50_1
| ~ spl50_29 ),
inference(forward_subsumption_resolution,[],[f956,f296]) ).
fof(f961,definition,
( spl50_45
<=> leq(sK24,n5) ),
introduced(definition,[new_symbols(definition,[spl50_45])],[avatar_definition]) ).
fof(f963,plain,
( ~ leq(sK24,n5)
| spl50_45 ),
inference(avatar_component_clause,[],[f961]) ).
fof(f969,definition,
( spl50_47
<=> leq(n0,sK24) ),
introduced(definition,[new_symbols(definition,[spl50_47])],[avatar_definition]) ).
fof(f971,plain,
( ~ leq(n0,sK24)
| spl50_47 ),
inference(avatar_component_clause,[],[f969]) ).
fof(f973,definition,
( spl50_48
<=> leq(n0,sK23) ),
introduced(definition,[new_symbols(definition,[spl50_48])],[avatar_definition]) ).
fof(f975,plain,
( ~ leq(n0,sK23)
| spl50_48 ),
inference(avatar_component_clause,[],[f973]) ).
fof(f990,plain,
( ~ spl50_48
| ~ spl50_45
| ~ spl50_47
| ~ spl50_1
| ~ spl50_29 ),
inference(avatar_split_clause,[],[f959,f294,f180,f969,f961,f973]) ).
fof(f991,plain,
( ~ sP2
| spl50_45 ),
inference(resolution,[],[f963,f107]) ).
fof(f992,plain,
( $false
| ~ spl50_1
| spl50_45 ),
inference(forward_subsumption_resolution,[],[f991,f182]) ).
fof(f993,plain,
( ~ spl50_1
| spl50_45 ),
inference(avatar_contradiction_clause,[],[f992]) ).
fof(f994,plain,
( ~ sP2
| spl50_48 ),
inference(resolution,[],[f975,f106]) ).
fof(f995,plain,
( $false
| ~ spl50_1
| spl50_48 ),
inference(forward_subsumption_resolution,[],[f994,f182]) ).
fof(f996,plain,
( ~ spl50_1
| spl50_48 ),
inference(avatar_contradiction_clause,[],[f995]) ).
fof(f997,plain,
( ~ sP2
| spl50_47 ),
inference(resolution,[],[f971,f108]) ).
fof(f998,plain,
( $false
| ~ spl50_1
| spl50_47 ),
inference(forward_subsumption_resolution,[],[f997,f182]) ).
fof(f999,plain,
( ~ spl50_1
| spl50_47 ),
inference(avatar_contradiction_clause,[],[f998]) ).
fof(f1005,plain,
( sP32(pv64)
| ~ spl50_12
| ~ spl50_15
| ~ spl50_22 ),
inference(superposition,[],[f145,f858]) ).
fof(f1007,plain,
( $false
| ~ spl50_12
| ~ spl50_15
| ~ spl50_22 ),
inference(forward_subsumption_resolution,[],[f1005,f144]) ).
fof(f1008,plain,
( ~ spl50_12
| ~ spl50_15
| ~ spl50_22 ),
inference(avatar_contradiction_clause,[],[f1007]) ).
cnf(s1,plain,
( spl50_1
| spl50_2
| spl50_3
| spl50_4
| spl50_5
| spl50_6
| spl50_7
| spl50_8
| spl50_9
| spl50_10
| ~ spl50_11
| ~ spl50_12
| ~ spl50_13
| ~ spl50_14
| ~ spl50_15
| ~ spl50_16
| spl50_17
| spl50_18 ),
inference(sat_conversion,[],[f250]) ).
cnf(s2,plain,
( spl50_1
| spl50_2
| spl50_3
| spl50_4
| spl50_5
| spl50_6
| spl50_7
| spl50_8
| spl50_9
| ~ spl50_11
| ~ spl50_12
| ~ spl50_13
| ~ spl50_14
| ~ spl50_15
| ~ spl50_16
| spl50_17
| spl50_19
| spl50_20 ),
inference(sat_conversion,[],[f258]) ).
cnf(s3,plain,
( spl50_1
| spl50_2
| spl50_3
| spl50_4
| spl50_5
| spl50_6
| spl50_7
| spl50_8
| spl50_9
| ~ spl50_11
| ~ spl50_12
| ~ spl50_13
| ~ spl50_14
| ~ spl50_15
| ~ spl50_16
| spl50_17
| spl50_21
| spl50_22 ),
inference(sat_conversion,[],[f266]) ).
cnf(s4,plain,
( spl50_1
| spl50_2
| spl50_3
| spl50_4
| spl50_5
| spl50_6
| spl50_7
| spl50_8
| spl50_9
| ~ spl50_11
| ~ spl50_12
| ~ spl50_13
| ~ spl50_14
| ~ spl50_15
| ~ spl50_16
| spl50_17
| spl50_23
| spl50_24 ),
inference(sat_conversion,[],[f274]) ).
cnf(s5,plain,
( spl50_1
| spl50_2
| spl50_3
| spl50_4
| spl50_5
| spl50_6
| spl50_7
| spl50_8
| spl50_9
| ~ spl50_11
| ~ spl50_12
| ~ spl50_13
| ~ spl50_14
| ~ spl50_15
| ~ spl50_16
| spl50_17
| spl50_25
| spl50_26 ),
inference(sat_conversion,[],[f282]) ).
cnf(s6,plain,
( ~ spl50_3
| spl50_27 ),
inference(sat_conversion,[],[f287]) ).
cnf(s7,plain,
( ~ spl50_2
| spl50_28 ),
inference(sat_conversion,[],[f292]) ).
cnf(s8,plain,
( ~ spl50_1
| spl50_29 ),
inference(sat_conversion,[],[f297]) ).
cnf(s9,plain,
spl50_11,
inference(sat_conversion,[],[f298]) ).
cnf(s10,plain,
spl50_12,
inference(sat_conversion,[],[f299]) ).
cnf(s11,plain,
spl50_13,
inference(sat_conversion,[],[f300]) ).
cnf(s12,plain,
spl50_14,
inference(sat_conversion,[],[f301]) ).
cnf(s13,plain,
spl50_15,
inference(sat_conversion,[],[f302]) ).
cnf(s14,plain,
spl50_16,
inference(sat_conversion,[],[f303]) ).
cnf(s17,plain,
~ spl50_4,
inference(sat_conversion,[],[f477]) ).
cnf(s18,plain,
~ spl50_5,
inference(sat_conversion,[],[f504]) ).
cnf(s19,plain,
~ spl50_6,
inference(sat_conversion,[],[f531]) ).
cnf(s20,plain,
~ spl50_7,
inference(sat_conversion,[],[f558]) ).
cnf(s21,plain,
~ spl50_8,
inference(sat_conversion,[],[f585]) ).
cnf(s22,plain,
~ spl50_9,
inference(sat_conversion,[],[f612]) ).
cnf(s23,plain,
~ spl50_17,
inference(sat_conversion,[],[f626]) ).
cnf(s24,plain,
( ~ spl50_3
| ~ spl50_30
| ~ spl50_31
| ~ spl50_32
| ~ spl50_33
| ~ spl50_34
| spl50_35 ),
inference(sat_conversion,[],[f659]) ).
cnf(s29,plain,
( ~ spl50_15
| ~ spl50_27
| spl50_33 ),
inference(sat_conversion,[],[f685]) ).
cnf(s30,plain,
( ~ spl50_12
| ~ spl50_27
| spl50_31 ),
inference(sat_conversion,[],[f686]) ).
cnf(s31,plain,
( ~ spl50_27
| ~ spl50_35 ),
inference(sat_conversion,[],[f687]) ).
cnf(s34,plain,
( ~ spl50_2
| ~ spl50_28
| ~ spl50_39
| ~ spl50_40
| ~ spl50_41
| ~ spl50_42 ),
inference(sat_conversion,[],[f725]) ).
cnf(s35,plain,
( ~ spl50_2
| spl50_39 ),
inference(sat_conversion,[],[f729]) ).
cnf(s36,plain,
( ~ spl50_12
| ~ spl50_15
| ~ spl50_18 ),
inference(sat_conversion,[],[f750]) ).
cnf(s41,plain,
( ~ spl50_3
| spl50_30 ),
inference(sat_conversion,[],[f752]) ).
cnf(s42,plain,
( ~ spl50_3
| spl50_34 ),
inference(sat_conversion,[],[f778]) ).
cnf(s43,plain,
( ~ spl50_3
| spl50_32 ),
inference(sat_conversion,[],[f781]) ).
cnf(s44,plain,
( ~ spl50_10
| ~ spl50_19
| ~ spl50_21
| ~ spl50_23
| ~ spl50_25 ),
inference(sat_conversion,[],[f839]) ).
cnf(s47,plain,
( ~ spl50_12
| ~ spl50_15
| ~ spl50_24 ),
inference(sat_conversion,[],[f905]) ).
cnf(s48,plain,
( ~ spl50_12
| ~ spl50_15
| ~ spl50_20 ),
inference(sat_conversion,[],[f924]) ).
cnf(s49,plain,
( ~ spl50_2
| spl50_40 ),
inference(sat_conversion,[],[f927]) ).
cnf(s50,plain,
( ~ spl50_2
| spl50_41 ),
inference(sat_conversion,[],[f930]) ).
cnf(s51,plain,
( ~ spl50_2
| spl50_42 ),
inference(sat_conversion,[],[f933]) ).
cnf(s52,plain,
( ~ spl50_12
| ~ spl50_15
| ~ spl50_26 ),
inference(sat_conversion,[],[f952]) ).
cnf(s55,plain,
( ~ spl50_1
| ~ spl50_29
| ~ spl50_45
| ~ spl50_47
| ~ spl50_48 ),
inference(sat_conversion,[],[f990]) ).
cnf(s56,plain,
( ~ spl50_1
| spl50_45 ),
inference(sat_conversion,[],[f993]) ).
cnf(s57,plain,
( ~ spl50_1
| spl50_48 ),
inference(sat_conversion,[],[f996]) ).
cnf(s58,plain,
( ~ spl50_1
| spl50_47 ),
inference(sat_conversion,[],[f999]) ).
cnf(s59,plain,
( ~ spl50_12
| ~ spl50_15
| ~ spl50_22 ),
inference(sat_conversion,[],[f1008]) ).
cnf(s60,plain,
~ spl50_22,
inference(rat,[],[s59,s13,s10]) ).
cnf(s61,plain,
~ spl50_26,
inference(rat,[],[s52,s13,s10]) ).
cnf(s62,plain,
~ spl50_20,
inference(rat,[],[s48,s13,s10]) ).
cnf(s63,plain,
~ spl50_24,
inference(rat,[],[s47,s13,s10]) ).
cnf(s64,plain,
~ spl50_18,
inference(rat,[],[s36,s13,s10]) ).
cnf(s65,plain,
( spl50_1
| spl50_2
| spl50_3
| spl50_25 ),
inference(rat,[],[s5,s61,s23,s14,s13,s12,s11,s10,s9,s22,s21,s20,s19,s18,s17]) ).
cnf(s66,plain,
( spl50_1
| spl50_2
| spl50_3
| spl50_23 ),
inference(rat,[],[s4,s63,s23,s14,s13,s12,s11,s10,s9,s22,s21,s20,s19,s18,s17]) ).
cnf(s67,plain,
( spl50_1
| spl50_2
| spl50_3
| spl50_21 ),
inference(rat,[],[s3,s60,s23,s14,s13,s12,s11,s10,s9,s22,s21,s20,s19,s18,s17]) ).
cnf(s68,plain,
( spl50_1
| spl50_2
| spl50_3
| spl50_19 ),
inference(rat,[],[s2,s62,s23,s14,s13,s12,s11,s10,s9,s22,s21,s20,s19,s18,s17]) ).
cnf(s69,plain,
( spl50_1
| spl50_2
| spl50_3
| spl50_10 ),
inference(rat,[],[s1,s64,s23,s14,s13,s12,s11,s10,s9,s22,s21,s20,s19,s18,s17]) ).
cnf(s70,plain,
( spl50_3
| spl50_2
| spl50_1 ),
inference(rat,[],[s44,s69,s68,s67,s66,s65]) ).
cnf(s71,plain,
~ spl50_3,
inference(rat,[],[s24,s29,s30,s31,s6,s41,s42,s43,s13,s10]) ).
cnf(s72,plain,
( ~ spl50_2
| ~ spl50_42
| ~ spl50_39
| ~ spl50_40
| ~ spl50_41 ),
inference(rat,[],[s7,s34]) ).
cnf(s73,plain,
~ spl50_2,
inference(rat,[],[s72,s35,s49,s50,s51]) ).
cnf(s74,plain,
spl50_1,
inference(rat,[],[s70,s71,s73]) ).
cnf(s75,plain,
spl50_47,
inference(rat,[],[s58,s74]) ).
cnf(s76,plain,
spl50_48,
inference(rat,[],[s57,s74]) ).
cnf(s77,plain,
spl50_45,
inference(rat,[],[s56,s74]) ).
cnf(s78,plain,
~ spl50_29,
inference(rat,[],[s55,s76,s75,s77,s74]) ).
cnf(s79,plain,
$false,
inference(rat,[],[s8,s78,s74]) ).
fof(f1009,plain,
$false,
inference(avatar_sat_refutation,[],[s79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MSC010+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n016.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 17:46:03 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/0.91 % (2877612)Detected formulas, will run a generic FOF schedule.
% 0.35/0.91 % (2877620)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3703162192:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.35/0.91 % (2877620)First to succeed.
% 0.35/0.91 % (2877620)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2877612"
% 0.35/0.91 % (2877622)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=54178140:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.35/0.91 % (2877618)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=862438331:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.35/0.91 % (2877619)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2057362037:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.35/0.91 % (2877623)dis-21_1_sil=8000:lcm=predicate:random_seed=4095645053:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.35/0.91 % (2877621)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=135288699:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.35/0.91 % (2877617)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=4198345576:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.35/0.91 % (2877623)Refutation not found, incomplete strategy
% 0.35/0.91 % (2877623)------------------------------
% 0.35/0.91 % (2877623)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.35/0.91 % (2877623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.91 % (2877623)CaDiCaL version: 2.1.3
% 0.35/0.91 % (2877623)Termination reason: Refutation not found, incomplete strategy
% 0.35/0.91 % (2877623)Time elapsed: 0.005 s
% 0.35/0.91 % (2877623)Peak memory usage: 88 MB
% 0.35/0.91 % (2877623)Instructions burned: 7 (million)
% 0.35/0.91 % (2877621)Also succeeded, but the first one will report.
% 0.35/0.91 % (2877622)Also succeeded, but the first one will report.
% 0.35/0.91 % (2877620)Refutation found. Thanks to Tanya!
% 0.35/0.91 % SZS status Theorem for theBenchmark
% 0.35/0.91 % SZS output start Proof for theBenchmark
% See solution above
% 0.35/1.01 % (2877620)------------------------------
% 0.35/1.01 % (2877620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.35/1.01 % (2877620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/1.01 % (2877620)CaDiCaL version: 2.1.3
% 0.35/1.01 % (2877620)Termination reason: Refutation
% 0.35/1.01 % (2877620)Time elapsed: 0.015 s
% 0.35/1.01 % (2877620)Peak memory usage: 90 MB
% 0.35/1.01 % (2877620)Instructions burned: 45 (million)
% 0.35/1.01 % (2877620)------------------------------
% 0.35/1.01 % (2877620)------------------------------
% 0.35/1.01 % (2877612)Success in time 0.305 s
% 0.35/1.01 % Vampire exiting
%------------------------------------------------------------------------------