%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n026.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 12:05:45 PM UTC 2026
% Result : Theorem 0.20s 0.61s
% Output : Refutation 0.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 42
% Syntax : Number of formulae : 436 ( 28 unt; 40 def)
% Number of atoms : 3139 ( 487 equ)
% Maximal formula atoms : 68 ( 7 avg)
% Number of connectives : 3907 (1204 ~;2054 |; 554 &)
% ( 31 <=>; 64 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 44 ( 42 usr; 41 prp; 0-2 aty)
% Number of functors : 40 ( 40 usr; 38 con; 0-3 aty)
% Number of variables : 414 ( 0 sgn 310 !; 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] :
( 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(f6,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,[],[f5]) ).
fof(f7,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(f8,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,[],[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,[],[f6,f17,f16,f15,f14,f13,f12,f11,f10,f9]) ).
fof(f19,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(f20,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,[],[f19]) ).
fof(f21,plain,
( ( init != a_select3(phi_ds1_filter_init,sK9,sK10)
& leq(n0,sK9)
& leq(n0,sK10)
& leq(sK9,n5)
& leq(sK10,n5) )
| ~ sP8 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10]),skolemize(X0,sK9),skolemize(X1,sK10)],[f20]) ).
fof(f22,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(f23,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,[],[f22]) ).
fof(f24,plain,
( ( init != a_select3(dv_ds1_filter_init,sK11,sK12)
& leq(n0,sK11)
& leq(n0,sK12)
& leq(sK11,n5)
& leq(sK12,n0) )
| ~ sP7 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12]),skolemize(X0,sK11),skolemize(X1,sK12)],[f23]) ).
fof(f25,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(f26,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,[],[f25]) ).
fof(f27,plain,
( ( init != a_select3(q_ds1_filter_init,sK13,sK14)
& leq(n0,sK13)
& leq(n0,sK14)
& leq(sK13,n5)
& leq(sK14,n5) )
| ~ sP6 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14]),skolemize(X0,sK13),skolemize(X1,sK14)],[f26]) ).
fof(f28,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(f29,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,[],[f28]) ).
fof(f30,plain,
( ( init != a_select3(r_ds1_filter_init,sK15,sK16)
& leq(n0,sK15)
& leq(n0,sK16)
& leq(sK15,n2)
& leq(sK16,n2) )
| ~ sP5 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15,sK16]),skolemize(X0,sK15),skolemize(X1,sK16)],[f29]) ).
fof(f31,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(f32,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,[],[f31]) ).
fof(f33,plain,
( ( init != a_select3(xhatmin_ds1_filter_init,sK17,sK18)
& leq(n0,sK17)
& leq(n0,sK18)
& leq(sK17,n5)
& leq(sK18,n0) )
| ~ sP4 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17,sK18]),skolemize(X0,sK17),skolemize(X1,sK18)],[f32]) ).
fof(f34,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(f35,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,[],[f34]) ).
fof(f36,plain,
( ( init != a_select3(pminus_ds1_filter_init,sK19,sK20)
& leq(n0,sK19)
& leq(n0,sK20)
& leq(sK19,n5)
& leq(sK20,n5) )
| ~ sP3 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19,sK20]),skolemize(X0,sK19),skolemize(X1,sK20)],[f35]) ).
fof(f37,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(f38,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,[],[f37]) ).
fof(f39,plain,
( ( init != a_select3(id_ds1_filter_init,sK21,sK22)
& leq(n0,sK22)
& leq(sK22,n5)
& leq(n0,sK21)
& leq(sK21,pred(pv63)) )
| ~ sP2 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21,sK22]),skolemize(X0,sK21),skolemize(X1,sK22)],[f38]) ).
fof(f40,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(f41,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,[],[f40]) ).
fof(f42,plain,
( ( init != a_select3(id_ds1_filter_init,sK23,sK24)
& gt(pv63,sK23)
& leq(n0,sK23)
& leq(n0,sK24)
& leq(sK23,n5)
& leq(sK24,n5) )
| ~ sP1 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23,sK24]),skolemize(X0,sK23),skolemize(X1,sK24)],[f41]) ).
fof(f43,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(f44,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,[],[f43]) ).
fof(f45,plain,
( ( init != a_select3(id_ds1_filter_init,sK25,sK26)
& pv63 = sK25
& gt(pv64,sK26)
& leq(n0,sK25)
& leq(n0,sK26)
& leq(sK25,n5)
& leq(sK26,n5) )
| ~ sP0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25,sK26]),skolemize(X0,sK25),skolemize(X1,sK26)],[f44]) ).
fof(f46,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(f47,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,sK27,sK28)
& leq(n0,sK27)
& leq(n0,sK28)
& leq(sK27,n2)
& leq(sK28,n5) )
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27,sK28]),skolemize(X2,sK27),skolemize(X3,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) )
& ! [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,[],[f8]) ).
fof(f49,plain,
( init != a_select3(id_ds1_filter_init,sK29,sK30)
& pv64 != sK30
& pv63 = sK29
& leq(sK30,pv64)
& leq(n0,sK29)
& leq(n0,sK30)
& leq(sK29,n5)
& leq(sK30,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,[sK29,sK30]),skolemize(X0,sK29),skolemize(X1,sK30)],[f48]) ).
fof(f50,plain,
( leq(sK10,n5)
| ~ sP8 ),
inference(cnf_transformation,[],[f21]) ).
fof(f51,plain,
( leq(sK9,n5)
| ~ sP8 ),
inference(cnf_transformation,[],[f21]) ).
fof(f52,plain,
( leq(n0,sK10)
| ~ sP8 ),
inference(cnf_transformation,[],[f21]) ).
fof(f53,plain,
( leq(n0,sK9)
| ~ sP8 ),
inference(cnf_transformation,[],[f21]) ).
fof(f54,plain,
( init != a_select3(phi_ds1_filter_init,sK9,sK10)
| ~ sP8 ),
inference(cnf_transformation,[],[f21]) ).
fof(f55,plain,
( leq(sK12,n0)
| ~ sP7 ),
inference(cnf_transformation,[],[f24]) ).
fof(f56,plain,
( leq(sK11,n5)
| ~ sP7 ),
inference(cnf_transformation,[],[f24]) ).
fof(f57,plain,
( leq(n0,sK12)
| ~ sP7 ),
inference(cnf_transformation,[],[f24]) ).
fof(f58,plain,
( leq(n0,sK11)
| ~ sP7 ),
inference(cnf_transformation,[],[f24]) ).
fof(f59,plain,
( init != a_select3(dv_ds1_filter_init,sK11,sK12)
| ~ sP7 ),
inference(cnf_transformation,[],[f24]) ).
fof(f60,plain,
( leq(sK14,n5)
| ~ sP6 ),
inference(cnf_transformation,[],[f27]) ).
fof(f61,plain,
( leq(sK13,n5)
| ~ sP6 ),
inference(cnf_transformation,[],[f27]) ).
fof(f62,plain,
( leq(n0,sK14)
| ~ sP6 ),
inference(cnf_transformation,[],[f27]) ).
fof(f63,plain,
( leq(n0,sK13)
| ~ sP6 ),
inference(cnf_transformation,[],[f27]) ).
fof(f64,plain,
( init != a_select3(q_ds1_filter_init,sK13,sK14)
| ~ sP6 ),
inference(cnf_transformation,[],[f27]) ).
fof(f65,plain,
( leq(sK16,n2)
| ~ sP5 ),
inference(cnf_transformation,[],[f30]) ).
fof(f66,plain,
( leq(sK15,n2)
| ~ sP5 ),
inference(cnf_transformation,[],[f30]) ).
fof(f67,plain,
( leq(n0,sK16)
| ~ sP5 ),
inference(cnf_transformation,[],[f30]) ).
fof(f68,plain,
( leq(n0,sK15)
| ~ sP5 ),
inference(cnf_transformation,[],[f30]) ).
fof(f69,plain,
( init != a_select3(r_ds1_filter_init,sK15,sK16)
| ~ sP5 ),
inference(cnf_transformation,[],[f30]) ).
fof(f70,plain,
( leq(sK18,n0)
| ~ sP4 ),
inference(cnf_transformation,[],[f33]) ).
fof(f71,plain,
( leq(sK17,n5)
| ~ sP4 ),
inference(cnf_transformation,[],[f33]) ).
fof(f72,plain,
( leq(n0,sK18)
| ~ sP4 ),
inference(cnf_transformation,[],[f33]) ).
fof(f73,plain,
( leq(n0,sK17)
| ~ sP4 ),
inference(cnf_transformation,[],[f33]) ).
fof(f74,plain,
( init != a_select3(xhatmin_ds1_filter_init,sK17,sK18)
| ~ sP4 ),
inference(cnf_transformation,[],[f33]) ).
fof(f75,plain,
( leq(sK20,n5)
| ~ sP3 ),
inference(cnf_transformation,[],[f36]) ).
fof(f76,plain,
( leq(sK19,n5)
| ~ sP3 ),
inference(cnf_transformation,[],[f36]) ).
fof(f77,plain,
( leq(n0,sK20)
| ~ sP3 ),
inference(cnf_transformation,[],[f36]) ).
fof(f78,plain,
( leq(n0,sK19)
| ~ sP3 ),
inference(cnf_transformation,[],[f36]) ).
fof(f79,plain,
( init != a_select3(pminus_ds1_filter_init,sK19,sK20)
| ~ sP3 ),
inference(cnf_transformation,[],[f36]) ).
fof(f80,plain,
( leq(sK21,pred(pv63))
| ~ sP2 ),
inference(cnf_transformation,[],[f39]) ).
fof(f81,plain,
( leq(n0,sK21)
| ~ sP2 ),
inference(cnf_transformation,[],[f39]) ).
fof(f82,plain,
( leq(sK22,n5)
| ~ sP2 ),
inference(cnf_transformation,[],[f39]) ).
fof(f83,plain,
( leq(n0,sK22)
| ~ sP2 ),
inference(cnf_transformation,[],[f39]) ).
fof(f84,plain,
( init != a_select3(id_ds1_filter_init,sK21,sK22)
| ~ sP2 ),
inference(cnf_transformation,[],[f39]) ).
fof(f85,plain,
( leq(sK24,n5)
| ~ sP1 ),
inference(cnf_transformation,[],[f42]) ).
fof(f86,plain,
( leq(sK23,n5)
| ~ sP1 ),
inference(cnf_transformation,[],[f42]) ).
fof(f87,plain,
( leq(n0,sK24)
| ~ sP1 ),
inference(cnf_transformation,[],[f42]) ).
fof(f88,plain,
( leq(n0,sK23)
| ~ sP1 ),
inference(cnf_transformation,[],[f42]) ).
fof(f89,plain,
( gt(pv63,sK23)
| ~ sP1 ),
inference(cnf_transformation,[],[f42]) ).
fof(f90,plain,
( init != a_select3(id_ds1_filter_init,sK23,sK24)
| ~ sP1 ),
inference(cnf_transformation,[],[f42]) ).
fof(f91,plain,
( leq(sK26,n5)
| ~ sP0 ),
inference(cnf_transformation,[],[f45]) ).
fof(f93,plain,
( leq(n0,sK26)
| ~ sP0 ),
inference(cnf_transformation,[],[f45]) ).
fof(f95,plain,
( gt(pv64,sK26)
| ~ sP0 ),
inference(cnf_transformation,[],[f45]) ).
fof(f96,plain,
( pv63 = sK25
| ~ sP0 ),
inference(cnf_transformation,[],[f45]) ).
fof(f97,plain,
( init != a_select3(id_ds1_filter_init,sK25,sK26)
| ~ sP0 ),
inference(cnf_transformation,[],[f45]) ).
fof(f98,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(sK28,n5)
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 ),
inference(cnf_transformation,[],[f47]) ).
fof(f99,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(sK27,n2)
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 ),
inference(cnf_transformation,[],[f47]) ).
fof(f100,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,sK28)
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 ),
inference(cnf_transformation,[],[f47]) ).
fof(f101,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,sK27)
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 ),
inference(cnf_transformation,[],[f47]) ).
fof(f102,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,sK27,sK28)
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 ),
inference(cnf_transformation,[],[f47]) ).
fof(f103,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,[],[f49]) ).
fof(f104,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,[],[f49]) ).
fof(f105,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,[],[f49]) ).
fof(f106,plain,
! [X14,X15] :
( ~ leq(n0,X15)
| ~ leq(n0,X14)
| init = a_select3(pminus_ds1_filter_init,X14,X15)
| ~ leq(X14,n5)
| ~ leq(X15,n5) ),
inference(cnf_transformation,[],[f49]) ).
fof(f107,plain,
! [X12,X13] :
( ~ leq(n0,X13)
| ~ leq(n0,X12)
| init = a_select3(xhatmin_ds1_filter_init,X12,X13)
| ~ leq(X12,n5)
| ~ leq(X13,n0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f108,plain,
! [X10,X11] :
( ~ leq(n0,X11)
| ~ leq(n0,X10)
| init = a_select3(r_ds1_filter_init,X10,X11)
| ~ leq(X10,n2)
| ~ leq(X11,n2) ),
inference(cnf_transformation,[],[f49]) ).
fof(f109,plain,
! [X8,X9] :
( ~ leq(n0,X9)
| ~ leq(n0,X8)
| init = a_select3(q_ds1_filter_init,X8,X9)
| ~ leq(X8,n5)
| ~ leq(X9,n5) ),
inference(cnf_transformation,[],[f49]) ).
fof(f110,plain,
! [X6,X7] :
( ~ leq(n0,X7)
| ~ leq(n0,X6)
| init = a_select3(dv_ds1_filter_init,X6,X7)
| ~ leq(X6,n5)
| ~ leq(X7,n0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f111,plain,
! [X4,X5] :
( ~ leq(n0,X5)
| ~ leq(n0,X4)
| init = a_select3(phi_ds1_filter_init,X4,X5)
| ~ leq(X4,n5)
| ~ leq(X5,n5) ),
inference(cnf_transformation,[],[f49]) ).
fof(f112,plain,
! [X2,X3] :
( ~ leq(n0,X3)
| ~ leq(n0,X2)
| init = a_select3(h_ds1_filter_init,X2,X3)
| ~ leq(X2,n2)
| ~ leq(X3,n5) ),
inference(cnf_transformation,[],[f49]) ).
fof(f113,plain,
leq(pv64,n5),
inference(cnf_transformation,[],[f49]) ).
fof(f115,plain,
leq(pv5,n998),
inference(cnf_transformation,[],[f49]) ).
fof(f116,plain,
leq(n0,pv64),
inference(cnf_transformation,[],[f49]) ).
fof(f118,plain,
leq(n0,pv5),
inference(cnf_transformation,[],[f49]) ).
fof(f119,plain,
pv63 != pv64,
inference(cnf_transformation,[],[f49]) ).
fof(f120,plain,
leq(sK30,n5),
inference(cnf_transformation,[],[f49]) ).
fof(f121,plain,
leq(sK29,n5),
inference(cnf_transformation,[],[f49]) ).
fof(f122,plain,
leq(n0,sK30),
inference(cnf_transformation,[],[f49]) ).
fof(f123,plain,
leq(n0,sK29),
inference(cnf_transformation,[],[f49]) ).
fof(f124,plain,
leq(sK30,pv64),
inference(cnf_transformation,[],[f49]) ).
fof(f125,plain,
pv63 = sK29,
inference(cnf_transformation,[],[f49]) ).
fof(f126,plain,
pv64 != sK30,
inference(cnf_transformation,[],[f49]) ).
fof(f127,plain,
init != a_select3(id_ds1_filter_init,sK29,sK30),
inference(cnf_transformation,[],[f49]) ).
fof(f128,plain,
( leq(sK21,pred(sK29))
| ~ sP2 ),
inference(definition_unfolding,[],[f80,f125]) ).
fof(f129,plain,
( gt(sK29,sK23)
| ~ sP1 ),
inference(definition_unfolding,[],[f89,f125]) ).
fof(f130,plain,
( sK25 = sK29
| ~ sP0 ),
inference(definition_unfolding,[],[f96,f125]) ).
fof(f131,plain,
! [X0,X1] :
( init = a_select3(id_ds1_filter_init,X0,X1)
| pv64 = X1
| sK29 != X0
| ~ leq(X1,pv64)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n5)
| ~ leq(X1,n5)
| pv64 = sK29
| ~ leq(n0,pv5)
| ~ leq(n0,sK29)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK29,n5)
| ~ leq(pv64,n5)
| init != a_select3(h_ds1_filter_init,sK27,sK28)
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 ),
inference(definition_unfolding,[],[f102,f125,f125,f125,f125]) ).
fof(f132,plain,
! [X0,X1] :
( init = a_select3(id_ds1_filter_init,X0,X1)
| pv64 = X1
| sK29 != X0
| ~ leq(X1,pv64)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n5)
| ~ leq(X1,n5)
| pv64 = sK29
| ~ leq(n0,pv5)
| ~ leq(n0,sK29)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK29,n5)
| ~ leq(pv64,n5)
| leq(n0,sK27)
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 ),
inference(definition_unfolding,[],[f101,f125,f125,f125,f125]) ).
fof(f133,plain,
! [X0,X1] :
( init = a_select3(id_ds1_filter_init,X0,X1)
| pv64 = X1
| sK29 != X0
| ~ leq(X1,pv64)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n5)
| ~ leq(X1,n5)
| pv64 = sK29
| ~ leq(n0,pv5)
| ~ leq(n0,sK29)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK29,n5)
| ~ leq(pv64,n5)
| leq(n0,sK28)
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 ),
inference(definition_unfolding,[],[f100,f125,f125,f125,f125]) ).
fof(f134,plain,
! [X0,X1] :
( init = a_select3(id_ds1_filter_init,X0,X1)
| pv64 = X1
| sK29 != X0
| ~ leq(X1,pv64)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n5)
| ~ leq(X1,n5)
| pv64 = sK29
| ~ leq(n0,pv5)
| ~ leq(n0,sK29)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK29,n5)
| ~ leq(pv64,n5)
| leq(sK27,n2)
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 ),
inference(definition_unfolding,[],[f99,f125,f125,f125,f125]) ).
fof(f135,plain,
! [X0,X1] :
( init = a_select3(id_ds1_filter_init,X0,X1)
| pv64 = X1
| sK29 != X0
| ~ leq(X1,pv64)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n5)
| ~ leq(X1,n5)
| pv64 = sK29
| ~ leq(n0,pv5)
| ~ leq(n0,sK29)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK29,n5)
| ~ leq(pv64,n5)
| leq(sK28,n5)
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 ),
inference(definition_unfolding,[],[f98,f125,f125,f125,f125]) ).
fof(f136,plain,
pv64 != sK29,
inference(definition_unfolding,[],[f119,f125]) ).
fof(f139,plain,
! [X16,X17] :
( init = a_select3(id_ds1_filter_init,X16,X17)
| sK29 != X16
| ~ gt(pv64,X17)
| ~ leq(n0,X16)
| ~ leq(n0,X17)
| ~ leq(X16,n5)
| ~ leq(X17,n5) ),
inference(definition_unfolding,[],[f105,f125]) ).
fof(f140,plain,
! [X18,X19] :
( ~ gt(sK29,X18)
| init = a_select3(id_ds1_filter_init,X18,X19)
| ~ leq(n0,X18)
| ~ leq(n0,X19)
| ~ leq(X18,n5)
| ~ leq(X19,n5) ),
inference(definition_unfolding,[],[f104,f125]) ).
fof(f141,plain,
! [X21,X20] :
( ~ leq(X20,pred(sK29))
| ~ leq(n0,X21)
| ~ leq(X21,n5)
| ~ leq(n0,X20)
| init = a_select3(id_ds1_filter_init,X20,X21) ),
inference(definition_unfolding,[],[f103,f125]) ).
fof(f142,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,sK29)
| ~ leq(n0,X1)
| ~ leq(sK29,n5)
| ~ leq(X1,n5)
| pv64 = sK29
| ~ leq(n0,pv5)
| ~ leq(n0,sK29)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK29,n5)
| ~ leq(pv64,n5)
| init != a_select3(h_ds1_filter_init,sK27,sK28)
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 ),
inference(equality_resolution,[],[f131]) ).
fof(f143,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,sK29)
| ~ leq(n0,X1)
| ~ leq(sK29,n5)
| ~ leq(X1,n5)
| pv64 = sK29
| ~ leq(n0,pv5)
| ~ leq(n0,sK29)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK29,n5)
| ~ leq(pv64,n5)
| leq(n0,sK27)
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 ),
inference(equality_resolution,[],[f132]) ).
fof(f144,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,sK29)
| ~ leq(n0,X1)
| ~ leq(sK29,n5)
| ~ leq(X1,n5)
| pv64 = sK29
| ~ leq(n0,pv5)
| ~ leq(n0,sK29)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK29,n5)
| ~ leq(pv64,n5)
| leq(n0,sK28)
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 ),
inference(equality_resolution,[],[f133]) ).
fof(f145,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,sK29)
| ~ leq(n0,X1)
| ~ leq(sK29,n5)
| ~ leq(X1,n5)
| pv64 = sK29
| ~ leq(n0,pv5)
| ~ leq(n0,sK29)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK29,n5)
| ~ leq(pv64,n5)
| leq(sK27,n2)
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 ),
inference(equality_resolution,[],[f134]) ).
fof(f146,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,sK29)
| ~ leq(n0,X1)
| ~ leq(sK29,n5)
| ~ leq(X1,n5)
| pv64 = sK29
| ~ leq(n0,pv5)
| ~ leq(n0,sK29)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(sK29,n5)
| ~ leq(pv64,n5)
| leq(sK28,n5)
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 ),
inference(equality_resolution,[],[f135]) ).
fof(f147,plain,
! [X17] :
( init = a_select3(id_ds1_filter_init,sK29,X17)
| ~ gt(pv64,X17)
| ~ leq(n0,sK29)
| ~ leq(n0,X17)
| ~ leq(sK29,n5)
| ~ leq(X17,n5) ),
inference(equality_resolution,[],[f139]) ).
fof(f148,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,sK29)
| ~ leq(n0,X1)
| ~ leq(sK29,n5)
| ~ leq(X1,n5)
| pv64 = sK29
| ~ leq(n0,pv5)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(pv64,n5)
| leq(sK28,n5)
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 ),
inference(duplicate_literal_removal,[],[f146]) ).
fof(f149,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,sK29)
| ~ leq(n0,X1)
| ~ leq(sK29,n5)
| ~ leq(X1,n5)
| pv64 = sK29
| ~ leq(n0,pv5)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(pv64,n5)
| leq(sK27,n2)
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 ),
inference(duplicate_literal_removal,[],[f145]) ).
fof(f150,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,sK29)
| ~ leq(n0,X1)
| ~ leq(sK29,n5)
| ~ leq(X1,n5)
| pv64 = sK29
| ~ leq(n0,pv5)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(pv64,n5)
| leq(n0,sK28)
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 ),
inference(duplicate_literal_removal,[],[f144]) ).
fof(f151,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,sK29)
| ~ leq(n0,X1)
| ~ leq(sK29,n5)
| ~ leq(X1,n5)
| pv64 = sK29
| ~ leq(n0,pv5)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(pv64,n5)
| leq(n0,sK27)
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 ),
inference(duplicate_literal_removal,[],[f143]) ).
fof(f152,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,sK29)
| ~ leq(n0,X1)
| ~ leq(sK29,n5)
| ~ leq(X1,n5)
| pv64 = sK29
| ~ leq(n0,pv5)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(pv64,n5)
| init != a_select3(h_ds1_filter_init,sK27,sK28)
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 ),
inference(duplicate_literal_removal,[],[f142]) ).
fof(f153,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| leq(sK28,n5)
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 ),
inference(global_subsumption,[],[f148,f123,f121,f136,f118,f116,f115,f113]) ).
fof(f154,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| leq(sK27,n2)
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 ),
inference(global_subsumption,[],[f149,f123,f121,f136,f118,f116,f115,f113]) ).
fof(f155,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| leq(n0,sK28)
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 ),
inference(global_subsumption,[],[f150,f123,f121,f136,f118,f116,f115,f113]) ).
fof(f156,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| leq(n0,sK27)
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 ),
inference(global_subsumption,[],[f151,f123,f121,f136,f118,f116,f115,f113]) ).
fof(f157,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| init != a_select3(h_ds1_filter_init,sK27,sK28)
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 ),
inference(global_subsumption,[],[f152,f123,f121,f136,f118,f116,f115,f113]) ).
fof(f159,definition,
( spl31_1
<=> sP8 ),
introduced(definition,[new_symbols(definition,[spl31_1])],[avatar_definition]) ).
fof(f160,plain,
( sP8
| ~ spl31_1 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f161,plain,
( ~ sP8
| spl31_1 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f163,definition,
( spl31_2
<=> init = a_select3(phi_ds1_filter_init,sK9,sK10) ),
introduced(definition,[new_symbols(definition,[spl31_2])],[avatar_definition]) ).
fof(f165,plain,
( init != a_select3(phi_ds1_filter_init,sK9,sK10)
| spl31_2 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f166,plain,
( ~ spl31_1
| ~ spl31_2 ),
inference(avatar_split_clause,[],[f54,f163,f159]) ).
fof(f168,definition,
( spl31_3
<=> sP7 ),
introduced(definition,[new_symbols(definition,[spl31_3])],[avatar_definition]) ).
fof(f169,plain,
( sP7
| ~ spl31_3 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f170,plain,
( ~ sP7
| spl31_3 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f172,definition,
( spl31_4
<=> init = a_select3(dv_ds1_filter_init,sK11,sK12) ),
introduced(definition,[new_symbols(definition,[spl31_4])],[avatar_definition]) ).
fof(f174,plain,
( init != a_select3(dv_ds1_filter_init,sK11,sK12)
| spl31_4 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f175,plain,
( ~ spl31_3
| ~ spl31_4 ),
inference(avatar_split_clause,[],[f59,f172,f168]) ).
fof(f177,definition,
( spl31_5
<=> sP6 ),
introduced(definition,[new_symbols(definition,[spl31_5])],[avatar_definition]) ).
fof(f178,plain,
( sP6
| ~ spl31_5 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f179,plain,
( ~ sP6
| spl31_5 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f181,definition,
( spl31_6
<=> init = a_select3(q_ds1_filter_init,sK13,sK14) ),
introduced(definition,[new_symbols(definition,[spl31_6])],[avatar_definition]) ).
fof(f183,plain,
( init != a_select3(q_ds1_filter_init,sK13,sK14)
| spl31_6 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f184,plain,
( ~ spl31_5
| ~ spl31_6 ),
inference(avatar_split_clause,[],[f64,f181,f177]) ).
fof(f186,definition,
( spl31_7
<=> sP5 ),
introduced(definition,[new_symbols(definition,[spl31_7])],[avatar_definition]) ).
fof(f187,plain,
( sP5
| ~ spl31_7 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f188,plain,
( ~ sP5
| spl31_7 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f190,definition,
( spl31_8
<=> init = a_select3(r_ds1_filter_init,sK15,sK16) ),
introduced(definition,[new_symbols(definition,[spl31_8])],[avatar_definition]) ).
fof(f192,plain,
( init != a_select3(r_ds1_filter_init,sK15,sK16)
| spl31_8 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f193,plain,
( ~ spl31_7
| ~ spl31_8 ),
inference(avatar_split_clause,[],[f69,f190,f186]) ).
fof(f195,definition,
( spl31_9
<=> sP4 ),
introduced(definition,[new_symbols(definition,[spl31_9])],[avatar_definition]) ).
fof(f196,plain,
( sP4
| ~ spl31_9 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f197,plain,
( ~ sP4
| spl31_9 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f199,definition,
( spl31_10
<=> init = a_select3(xhatmin_ds1_filter_init,sK17,sK18) ),
introduced(definition,[new_symbols(definition,[spl31_10])],[avatar_definition]) ).
fof(f201,plain,
( init != a_select3(xhatmin_ds1_filter_init,sK17,sK18)
| spl31_10 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f202,plain,
( ~ spl31_9
| ~ spl31_10 ),
inference(avatar_split_clause,[],[f74,f199,f195]) ).
fof(f204,definition,
( spl31_11
<=> sP3 ),
introduced(definition,[new_symbols(definition,[spl31_11])],[avatar_definition]) ).
fof(f205,plain,
( sP3
| ~ spl31_11 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f206,plain,
( ~ sP3
| spl31_11 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f208,definition,
( spl31_12
<=> init = a_select3(pminus_ds1_filter_init,sK19,sK20) ),
introduced(definition,[new_symbols(definition,[spl31_12])],[avatar_definition]) ).
fof(f210,plain,
( init != a_select3(pminus_ds1_filter_init,sK19,sK20)
| spl31_12 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f211,plain,
( ~ spl31_11
| ~ spl31_12 ),
inference(avatar_split_clause,[],[f79,f208,f204]) ).
fof(f213,definition,
( spl31_13
<=> sP2 ),
introduced(definition,[new_symbols(definition,[spl31_13])],[avatar_definition]) ).
fof(f214,plain,
( sP2
| ~ spl31_13 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f215,plain,
( ~ sP2
| spl31_13 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f217,definition,
( spl31_14
<=> init = a_select3(id_ds1_filter_init,sK21,sK22) ),
introduced(definition,[new_symbols(definition,[spl31_14])],[avatar_definition]) ).
fof(f219,plain,
( init != a_select3(id_ds1_filter_init,sK21,sK22)
| spl31_14 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f220,plain,
( ~ spl31_13
| ~ spl31_14 ),
inference(avatar_split_clause,[],[f84,f217,f213]) ).
fof(f222,definition,
( spl31_15
<=> sP1 ),
introduced(definition,[new_symbols(definition,[spl31_15])],[avatar_definition]) ).
fof(f223,plain,
( sP1
| ~ spl31_15 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f224,plain,
( ~ sP1
| spl31_15 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f226,definition,
( spl31_16
<=> init = a_select3(id_ds1_filter_init,sK23,sK24) ),
introduced(definition,[new_symbols(definition,[spl31_16])],[avatar_definition]) ).
fof(f228,plain,
( init != a_select3(id_ds1_filter_init,sK23,sK24)
| spl31_16 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f229,plain,
( ~ spl31_15
| ~ spl31_16 ),
inference(avatar_split_clause,[],[f90,f226,f222]) ).
fof(f231,definition,
( spl31_17
<=> sP0 ),
introduced(definition,[new_symbols(definition,[spl31_17])],[avatar_definition]) ).
fof(f232,plain,
( sP0
| ~ spl31_17 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f233,plain,
( ~ sP0
| spl31_17 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f235,definition,
( spl31_18
<=> init = a_select3(id_ds1_filter_init,sK25,sK26) ),
introduced(definition,[new_symbols(definition,[spl31_18])],[avatar_definition]) ).
fof(f237,plain,
( init != a_select3(id_ds1_filter_init,sK25,sK26)
| spl31_18 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f238,plain,
( ~ spl31_17
| ~ spl31_18 ),
inference(avatar_split_clause,[],[f97,f235,f231]) ).
fof(f321,plain,
! [X17] :
( init = a_select3(id_ds1_filter_init,sK29,X17)
| ~ gt(pv64,X17)
| ~ leq(n0,X17)
| ~ leq(sK29,n5)
| ~ leq(X17,n5) ),
inference(forward_subsumption_resolution,[],[f147,f123]) ).
fof(f322,plain,
! [X17] :
( ~ gt(pv64,X17)
| init = a_select3(id_ds1_filter_init,sK29,X17)
| ~ leq(n0,X17)
| ~ leq(X17,n5) ),
inference(forward_subsumption_resolution,[],[f321,f121]) ).
fof(f332,plain,
( ! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| leq(sK28,n5)
| sP7
| sP6
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 )
| spl31_1 ),
inference(forward_subsumption_resolution,[],[f153,f161]) ).
fof(f333,plain,
( ! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| leq(sK28,n5)
| sP6
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 )
| spl31_1
| spl31_3 ),
inference(forward_subsumption_resolution,[],[f332,f170]) ).
fof(f334,plain,
( ! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| leq(sK28,n5)
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 )
| spl31_1
| spl31_3
| spl31_5 ),
inference(forward_subsumption_resolution,[],[f333,f179]) ).
fof(f335,plain,
( ! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| leq(sK28,n5)
| sP4
| sP3
| sP0
| sP1
| sP2 )
| spl31_1
| spl31_3
| spl31_5
| spl31_7 ),
inference(forward_subsumption_resolution,[],[f334,f188]) ).
fof(f336,plain,
( ! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| leq(sK28,n5)
| sP3
| sP0
| sP1
| sP2 )
| spl31_1
| spl31_3
| spl31_5
| spl31_7
| spl31_9 ),
inference(forward_subsumption_resolution,[],[f335,f197]) ).
fof(f337,plain,
( ! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| leq(sK28,n5)
| sP0
| sP1
| sP2 )
| spl31_1
| spl31_3
| spl31_5
| spl31_7
| spl31_9
| spl31_11 ),
inference(forward_subsumption_resolution,[],[f336,f206]) ).
fof(f338,plain,
( ! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| leq(sK28,n5)
| sP1
| sP2 )
| spl31_1
| spl31_3
| spl31_5
| spl31_7
| spl31_9
| spl31_11
| spl31_17 ),
inference(forward_subsumption_resolution,[],[f337,f233]) ).
fof(f339,plain,
( ! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| leq(sK28,n5)
| sP2 )
| spl31_1
| spl31_3
| spl31_5
| spl31_7
| spl31_9
| spl31_11
| spl31_15
| spl31_17 ),
inference(forward_subsumption_resolution,[],[f338,f224]) ).
fof(f340,plain,
( ! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| leq(sK28,n5) )
| spl31_1
| spl31_3
| spl31_5
| spl31_7
| spl31_9
| spl31_11
| spl31_13
| spl31_15
| spl31_17 ),
inference(forward_subsumption_resolution,[],[f339,f215]) ).
fof(f342,definition,
( spl31_33
<=> leq(sK28,n5) ),
introduced(definition,[new_symbols(definition,[spl31_33])],[avatar_definition]) ).
fof(f344,plain,
( leq(sK28,n5)
| ~ spl31_33 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f352,definition,
( spl31_36
<=> ! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| ~ leq(X1,n5)
| ~ leq(n0,X1)
| ~ leq(X1,pv64)
| pv64 = X1 ) ),
introduced(definition,[new_symbols(definition,[spl31_36])],[avatar_definition]) ).
fof(f353,plain,
( ! [X1] :
( ~ leq(n0,X1)
| ~ leq(X1,n5)
| init = a_select3(id_ds1_filter_init,sK29,X1)
| ~ leq(X1,pv64)
| pv64 = X1 )
| ~ spl31_36 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f354,plain,
( spl31_33
| spl31_36
| spl31_1
| spl31_3
| spl31_5
| spl31_7
| spl31_9
| spl31_11
| spl31_13
| spl31_15
| spl31_17 ),
inference(avatar_split_clause,[],[f340,f231,f222,f213,f204,f195,f186,f177,f168,f159,f352,f342]) ).
fof(f424,plain,
( ~ leq(sK30,n5)
| init = a_select3(id_ds1_filter_init,sK29,sK30)
| ~ leq(sK30,pv64)
| pv64 = sK30
| ~ spl31_36 ),
inference(resolution,[],[f353,f122]) ).
fof(f425,plain,
( init = a_select3(id_ds1_filter_init,sK29,sK30)
| ~ leq(sK30,pv64)
| pv64 = sK30
| ~ spl31_36 ),
inference(forward_subsumption_resolution,[],[f424,f120]) ).
fof(f427,plain,
( ~ leq(sK30,pv64)
| pv64 = sK30
| ~ spl31_36 ),
inference(forward_subsumption_resolution,[],[f425,f127]) ).
fof(f429,plain,
( pv64 = sK30
| ~ spl31_36 ),
inference(forward_subsumption_resolution,[],[f427,f124]) ).
fof(f430,plain,
( $false
| ~ spl31_36 ),
inference(forward_subsumption_resolution,[],[f429,f126]) ).
fof(f431,plain,
~ spl31_36,
inference(avatar_contradiction_clause,[],[f430]) ).
fof(f558,definition,
( spl31_44
<=> sK25 = sK29 ),
introduced(definition,[new_symbols(definition,[spl31_44])],[avatar_definition]) ).
fof(f560,plain,
( sK25 = sK29
| ~ spl31_44 ),
inference(avatar_component_clause,[],[f558]) ).
fof(f561,plain,
( ~ spl31_17
| spl31_44 ),
inference(avatar_split_clause,[],[f130,f558,f231]) ).
fof(f562,plain,
( init != a_select3(id_ds1_filter_init,sK29,sK26)
| spl31_18
| ~ spl31_44 ),
inference(superposition,[],[f237,f560]) ).
fof(f644,definition,
( spl31_48
<=> leq(sK21,pred(sK29)) ),
introduced(definition,[new_symbols(definition,[spl31_48])],[avatar_definition]) ).
fof(f646,plain,
( leq(sK21,pred(sK29))
| ~ spl31_48 ),
inference(avatar_component_clause,[],[f644]) ).
fof(f647,plain,
( ~ spl31_13
| spl31_48 ),
inference(avatar_split_clause,[],[f128,f644,f213]) ).
fof(f648,plain,
( ! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n5)
| ~ leq(n0,sK21)
| init = a_select3(id_ds1_filter_init,sK21,X0) )
| ~ spl31_48 ),
inference(resolution,[],[f646,f141]) ).
fof(f650,definition,
( spl31_49
<=> leq(n0,sK21) ),
introduced(definition,[new_symbols(definition,[spl31_49])],[avatar_definition]) ).
fof(f652,plain,
( ~ leq(n0,sK21)
| spl31_49 ),
inference(avatar_component_clause,[],[f650]) ).
fof(f657,definition,
( spl31_51
<=> ! [X0] :
( ~ leq(n0,X0)
| init = a_select3(id_ds1_filter_init,sK21,X0)
| ~ leq(X0,n5) ) ),
introduced(definition,[new_symbols(definition,[spl31_51])],[avatar_definition]) ).
fof(f658,plain,
( ! [X0] :
( ~ leq(n0,X0)
| init = a_select3(id_ds1_filter_init,sK21,X0)
| ~ leq(X0,n5) )
| ~ spl31_51 ),
inference(avatar_component_clause,[],[f657]) ).
fof(f659,plain,
( ~ spl31_49
| spl31_51
| ~ spl31_48 ),
inference(avatar_split_clause,[],[f648,f644,f657,f650]) ).
fof(f663,plain,
( ~ sP2
| spl31_49 ),
inference(forward_subsumption_resolution,[],[f81,f652]) ).
fof(f664,plain,
( $false
| ~ spl31_13
| spl31_49 ),
inference(forward_subsumption_resolution,[],[f663,f214]) ).
fof(f665,plain,
( ~ spl31_13
| spl31_49 ),
inference(avatar_contradiction_clause,[],[f664]) ).
fof(f694,plain,
( leq(sK22,n5)
| ~ spl31_13 ),
inference(forward_subsumption_resolution,[],[f82,f214]) ).
fof(f695,plain,
( leq(n0,sK22)
| ~ spl31_13 ),
inference(forward_subsumption_resolution,[],[f83,f214]) ).
fof(f706,plain,
( init = a_select3(id_ds1_filter_init,sK21,sK22)
| ~ leq(sK22,n5)
| ~ spl31_13
| ~ spl31_51 ),
inference(resolution,[],[f695,f658]) ).
fof(f707,plain,
( ~ leq(sK22,n5)
| ~ spl31_13
| spl31_14
| ~ spl31_51 ),
inference(forward_subsumption_resolution,[],[f706,f219]) ).
fof(f709,plain,
( $false
| ~ spl31_13
| spl31_14
| ~ spl31_51 ),
inference(forward_subsumption_resolution,[],[f707,f694]) ).
fof(f710,plain,
( ~ spl31_13
| spl31_14
| ~ spl31_51 ),
inference(avatar_contradiction_clause,[],[f709]) ).
fof(f903,plain,
( leq(sK10,n5)
| ~ spl31_1 ),
inference(forward_subsumption_resolution,[],[f50,f160]) ).
fof(f904,plain,
( leq(sK9,n5)
| ~ spl31_1 ),
inference(forward_subsumption_resolution,[],[f51,f160]) ).
fof(f905,plain,
( leq(n0,sK10)
| ~ spl31_1 ),
inference(forward_subsumption_resolution,[],[f52,f160]) ).
fof(f911,plain,
( ! [X0] :
( ~ leq(n0,X0)
| init = a_select3(phi_ds1_filter_init,X0,sK10)
| ~ leq(X0,n5)
| ~ leq(sK10,n5) )
| ~ spl31_1 ),
inference(resolution,[],[f905,f111]) ).
fof(f921,plain,
( ! [X0] :
( ~ leq(n0,X0)
| init = a_select3(phi_ds1_filter_init,X0,sK10)
| ~ leq(X0,n5) )
| ~ spl31_1 ),
inference(forward_subsumption_resolution,[],[f911,f903]) ).
fof(f952,plain,
( leq(n0,sK9)
| ~ spl31_1 ),
inference(forward_subsumption_resolution,[],[f53,f160]) ).
fof(f967,plain,
( init = a_select3(phi_ds1_filter_init,sK9,sK10)
| ~ leq(sK9,n5)
| ~ spl31_1 ),
inference(resolution,[],[f952,f921]) ).
fof(f969,plain,
( ~ leq(sK9,n5)
| ~ spl31_1
| spl31_2 ),
inference(forward_subsumption_resolution,[],[f967,f165]) ).
fof(f973,plain,
( $false
| ~ spl31_1
| spl31_2 ),
inference(forward_subsumption_resolution,[],[f969,f904]) ).
fof(f974,plain,
( ~ spl31_1
| spl31_2 ),
inference(avatar_contradiction_clause,[],[f973]) ).
fof(f1047,plain,
( leq(sK20,n5)
| ~ spl31_11 ),
inference(forward_subsumption_resolution,[],[f75,f205]) ).
fof(f1048,plain,
( leq(sK19,n5)
| ~ spl31_11 ),
inference(forward_subsumption_resolution,[],[f76,f205]) ).
fof(f1049,plain,
( leq(n0,sK20)
| ~ spl31_11 ),
inference(forward_subsumption_resolution,[],[f77,f205]) ).
fof(f1050,plain,
( ! [X0] :
( ~ leq(n0,X0)
| init = a_select3(pminus_ds1_filter_init,X0,sK20)
| ~ leq(X0,n5)
| ~ leq(sK20,n5) )
| ~ spl31_11 ),
inference(resolution,[],[f1049,f106]) ).
fof(f1070,plain,
( ! [X0] :
( ~ leq(n0,X0)
| init = a_select3(pminus_ds1_filter_init,X0,sK20)
| ~ leq(X0,n5) )
| ~ spl31_11 ),
inference(forward_subsumption_resolution,[],[f1050,f1047]) ).
fof(f1113,plain,
( leq(n0,sK19)
| ~ spl31_11 ),
inference(forward_subsumption_resolution,[],[f78,f205]) ).
fof(f1133,plain,
( init = a_select3(pminus_ds1_filter_init,sK19,sK20)
| ~ leq(sK19,n5)
| ~ spl31_11 ),
inference(resolution,[],[f1113,f1070]) ).
fof(f1134,plain,
( ~ leq(sK19,n5)
| ~ spl31_11
| spl31_12 ),
inference(forward_subsumption_resolution,[],[f1133,f210]) ).
fof(f1139,plain,
( $false
| ~ spl31_11
| spl31_12 ),
inference(forward_subsumption_resolution,[],[f1134,f1048]) ).
fof(f1140,plain,
( ~ spl31_11
| spl31_12 ),
inference(avatar_contradiction_clause,[],[f1139]) ).
fof(f1200,plain,
( leq(sK18,n0)
| ~ spl31_9 ),
inference(forward_subsumption_resolution,[],[f70,f196]) ).
fof(f1201,plain,
( leq(sK17,n5)
| ~ spl31_9 ),
inference(forward_subsumption_resolution,[],[f71,f196]) ).
fof(f1202,plain,
( leq(n0,sK18)
| ~ spl31_9 ),
inference(forward_subsumption_resolution,[],[f72,f196]) ).
fof(f1204,plain,
( ! [X0] :
( ~ leq(n0,X0)
| init = a_select3(xhatmin_ds1_filter_init,X0,sK18)
| ~ leq(X0,n5)
| ~ leq(sK18,n0) )
| ~ spl31_9 ),
inference(resolution,[],[f1202,f107]) ).
fof(f1220,plain,
( ! [X0] :
( ~ leq(n0,X0)
| init = a_select3(xhatmin_ds1_filter_init,X0,sK18)
| ~ leq(X0,n5) )
| ~ spl31_9 ),
inference(forward_subsumption_resolution,[],[f1204,f1200]) ).
fof(f1245,plain,
( leq(n0,sK17)
| ~ spl31_9 ),
inference(forward_subsumption_resolution,[],[f73,f196]) ).
fof(f1263,plain,
( init = a_select3(xhatmin_ds1_filter_init,sK17,sK18)
| ~ leq(sK17,n5)
| ~ spl31_9 ),
inference(resolution,[],[f1245,f1220]) ).
fof(f1264,plain,
( ~ leq(sK17,n5)
| ~ spl31_9
| spl31_10 ),
inference(forward_subsumption_resolution,[],[f1263,f201]) ).
fof(f1269,plain,
( $false
| ~ spl31_9
| spl31_10 ),
inference(forward_subsumption_resolution,[],[f1264,f1201]) ).
fof(f1270,plain,
( ~ spl31_9
| spl31_10 ),
inference(avatar_contradiction_clause,[],[f1269]) ).
fof(f1284,definition,
( spl31_101
<=> gt(sK29,sK23) ),
introduced(definition,[new_symbols(definition,[spl31_101])],[avatar_definition]) ).
fof(f1286,plain,
( gt(sK29,sK23)
| ~ spl31_101 ),
inference(avatar_component_clause,[],[f1284]) ).
fof(f1287,plain,
( ~ spl31_15
| spl31_101 ),
inference(avatar_split_clause,[],[f129,f1284,f222]) ).
fof(f1288,plain,
( ! [X0] :
( init = a_select3(id_ds1_filter_init,sK23,X0)
| ~ leq(n0,sK23)
| ~ leq(n0,X0)
| ~ leq(sK23,n5)
| ~ leq(X0,n5) )
| ~ spl31_101 ),
inference(resolution,[],[f1286,f140]) ).
fof(f1290,definition,
( spl31_102
<=> leq(sK23,n5) ),
introduced(definition,[new_symbols(definition,[spl31_102])],[avatar_definition]) ).
fof(f1292,plain,
( ~ leq(sK23,n5)
| spl31_102 ),
inference(avatar_component_clause,[],[f1290]) ).
fof(f1294,definition,
( spl31_103
<=> leq(n0,sK23) ),
introduced(definition,[new_symbols(definition,[spl31_103])],[avatar_definition]) ).
fof(f1296,plain,
( ~ leq(n0,sK23)
| spl31_103 ),
inference(avatar_component_clause,[],[f1294]) ).
fof(f1301,definition,
( spl31_105
<=> ! [X0] :
( init = a_select3(id_ds1_filter_init,sK23,X0)
| ~ leq(X0,n5)
| ~ leq(n0,X0) ) ),
introduced(definition,[new_symbols(definition,[spl31_105])],[avatar_definition]) ).
fof(f1302,plain,
( ! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n5)
| init = a_select3(id_ds1_filter_init,sK23,X0) )
| ~ spl31_105 ),
inference(avatar_component_clause,[],[f1301]) ).
fof(f1303,plain,
( ~ spl31_102
| ~ spl31_103
| spl31_105
| ~ spl31_101 ),
inference(avatar_split_clause,[],[f1288,f1284,f1301,f1294,f1290]) ).
fof(f1307,plain,
( leq(sK24,n5)
| ~ spl31_15 ),
inference(forward_subsumption_resolution,[],[f85,f223]) ).
fof(f1308,plain,
( ~ sP1
| spl31_102 ),
inference(forward_subsumption_resolution,[],[f86,f1292]) ).
fof(f1309,plain,
( $false
| ~ spl31_15
| spl31_102 ),
inference(forward_subsumption_resolution,[],[f1308,f223]) ).
fof(f1310,plain,
( ~ spl31_15
| spl31_102 ),
inference(avatar_contradiction_clause,[],[f1309]) ).
fof(f1320,plain,
( leq(n0,sK24)
| ~ spl31_15 ),
inference(forward_subsumption_resolution,[],[f87,f223]) ).
fof(f1338,plain,
( ~ leq(sK24,n5)
| init = a_select3(id_ds1_filter_init,sK23,sK24)
| ~ spl31_15
| ~ spl31_105 ),
inference(resolution,[],[f1320,f1302]) ).
fof(f1339,plain,
( init = a_select3(id_ds1_filter_init,sK23,sK24)
| ~ spl31_15
| ~ spl31_105 ),
inference(forward_subsumption_resolution,[],[f1338,f1307]) ).
fof(f1344,plain,
( $false
| ~ spl31_15
| spl31_16
| ~ spl31_105 ),
inference(forward_subsumption_resolution,[],[f1339,f228]) ).
fof(f1345,plain,
( ~ spl31_15
| spl31_16
| ~ spl31_105 ),
inference(avatar_contradiction_clause,[],[f1344]) ).
fof(f1396,plain,
( ~ sP1
| spl31_103 ),
inference(forward_subsumption_resolution,[],[f88,f1296]) ).
fof(f1408,plain,
( ~ spl31_15
| spl31_103 ),
inference(avatar_split_clause,[],[f1396,f1294,f222]) ).
fof(f1411,plain,
( ! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| init != a_select3(h_ds1_filter_init,sK27,sK28)
| sP7
| sP6
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 )
| spl31_1 ),
inference(forward_subsumption_resolution,[],[f157,f161]) ).
fof(f1442,plain,
( leq(sK26,n5)
| ~ spl31_17 ),
inference(forward_subsumption_resolution,[],[f91,f232]) ).
fof(f1443,plain,
( leq(n0,sK26)
| ~ spl31_17 ),
inference(forward_subsumption_resolution,[],[f93,f232]) ).
fof(f1502,plain,
( gt(pv64,sK26)
| ~ spl31_17 ),
inference(forward_subsumption_resolution,[],[f95,f232]) ).
fof(f1503,plain,
( init = a_select3(id_ds1_filter_init,sK29,sK26)
| ~ leq(n0,sK26)
| ~ leq(sK26,n5)
| ~ spl31_17 ),
inference(resolution,[],[f1502,f322]) ).
fof(f1504,plain,
( ~ leq(n0,sK26)
| ~ leq(sK26,n5)
| ~ spl31_17
| spl31_18
| ~ spl31_44 ),
inference(forward_subsumption_resolution,[],[f1503,f562]) ).
fof(f1505,plain,
( ~ leq(sK26,n5)
| ~ spl31_17
| spl31_18
| ~ spl31_44 ),
inference(forward_subsumption_resolution,[],[f1504,f1443]) ).
fof(f1506,plain,
( $false
| ~ spl31_17
| spl31_18
| ~ spl31_44 ),
inference(forward_subsumption_resolution,[],[f1505,f1442]) ).
fof(f1507,plain,
( ~ spl31_17
| spl31_18
| ~ spl31_44 ),
inference(avatar_contradiction_clause,[],[f1506]) ).
fof(f1535,plain,
( leq(sK14,n5)
| ~ spl31_5 ),
inference(forward_subsumption_resolution,[],[f60,f178]) ).
fof(f1536,plain,
( leq(sK13,n5)
| ~ spl31_5 ),
inference(forward_subsumption_resolution,[],[f61,f178]) ).
fof(f1537,plain,
( leq(n0,sK14)
| ~ spl31_5 ),
inference(forward_subsumption_resolution,[],[f62,f178]) ).
fof(f1541,plain,
( ! [X0] :
( ~ leq(n0,X0)
| init = a_select3(q_ds1_filter_init,X0,sK14)
| ~ leq(X0,n5)
| ~ leq(sK14,n5) )
| ~ spl31_5 ),
inference(resolution,[],[f1537,f109]) ).
fof(f1558,plain,
( ! [X0] :
( ~ leq(n0,X0)
| init = a_select3(q_ds1_filter_init,X0,sK14)
| ~ leq(X0,n5) )
| ~ spl31_5 ),
inference(forward_subsumption_resolution,[],[f1541,f1535]) ).
fof(f1607,plain,
( leq(n0,sK13)
| ~ spl31_5 ),
inference(forward_subsumption_resolution,[],[f63,f178]) ).
fof(f1627,plain,
( init = a_select3(q_ds1_filter_init,sK13,sK14)
| ~ leq(sK13,n5)
| ~ spl31_5 ),
inference(resolution,[],[f1607,f1558]) ).
fof(f1629,plain,
( ~ leq(sK13,n5)
| ~ spl31_5
| spl31_6 ),
inference(forward_subsumption_resolution,[],[f1627,f183]) ).
fof(f1634,plain,
( $false
| ~ spl31_5
| spl31_6 ),
inference(forward_subsumption_resolution,[],[f1629,f1536]) ).
fof(f1635,plain,
( ~ spl31_5
| spl31_6 ),
inference(avatar_contradiction_clause,[],[f1634]) ).
fof(f1636,plain,
( ! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| leq(n0,sK28)
| sP7
| sP6
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 )
| spl31_1 ),
inference(forward_subsumption_resolution,[],[f155,f161]) ).
fof(f1637,plain,
( ! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| leq(n0,sK27)
| sP7
| sP6
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 )
| spl31_1 ),
inference(forward_subsumption_resolution,[],[f156,f161]) ).
fof(f1640,plain,
( ! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| leq(n0,sK28)
| sP7
| sP6
| sP4
| sP3
| sP0
| sP1
| sP2 )
| spl31_1
| spl31_7 ),
inference(forward_subsumption_resolution,[],[f1636,f188]) ).
fof(f1641,plain,
( ! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| leq(n0,sK27)
| sP7
| sP6
| sP4
| sP3
| sP0
| sP1
| sP2 )
| spl31_1
| spl31_7 ),
inference(forward_subsumption_resolution,[],[f1637,f188]) ).
fof(f1644,plain,
( ! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| leq(n0,sK28)
| sP7
| sP6
| sP3
| sP0
| sP1
| sP2 )
| spl31_1
| spl31_7
| spl31_9 ),
inference(forward_subsumption_resolution,[],[f1640,f197]) ).
fof(f1645,plain,
( ! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| leq(n0,sK27)
| sP7
| sP6
| sP3
| sP0
| sP1
| sP2 )
| spl31_1
| spl31_7
| spl31_9 ),
inference(forward_subsumption_resolution,[],[f1641,f197]) ).
fof(f1648,plain,
( ! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| leq(n0,sK28)
| sP7
| sP6
| sP0
| sP1
| sP2 )
| spl31_1
| spl31_7
| spl31_9
| spl31_11 ),
inference(forward_subsumption_resolution,[],[f1644,f206]) ).
fof(f1649,plain,
( ! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| leq(n0,sK27)
| sP7
| sP6
| sP0
| sP1
| sP2 )
| spl31_1
| spl31_7
| spl31_9
| spl31_11 ),
inference(forward_subsumption_resolution,[],[f1645,f206]) ).
fof(f1652,plain,
( ! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| leq(n0,sK28)
| sP7
| sP6
| sP1
| sP2 )
| spl31_1
| spl31_7
| spl31_9
| spl31_11
| spl31_17 ),
inference(forward_subsumption_resolution,[],[f1648,f233]) ).
fof(f1653,plain,
( ! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| leq(n0,sK27)
| sP7
| sP6
| sP1
| sP2 )
| spl31_1
| spl31_7
| spl31_9
| spl31_11
| spl31_17 ),
inference(forward_subsumption_resolution,[],[f1649,f233]) ).
fof(f1656,plain,
( ! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| leq(n0,sK28)
| sP7
| sP6
| sP2 )
| spl31_1
| spl31_7
| spl31_9
| spl31_11
| spl31_15
| spl31_17 ),
inference(forward_subsumption_resolution,[],[f1652,f224]) ).
fof(f1657,plain,
( ! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| leq(n0,sK27)
| sP7
| sP6
| sP2 )
| spl31_1
| spl31_7
| spl31_9
| spl31_11
| spl31_15
| spl31_17 ),
inference(forward_subsumption_resolution,[],[f1653,f224]) ).
fof(f1660,plain,
( ! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| leq(n0,sK28)
| sP7
| sP6 )
| spl31_1
| spl31_7
| spl31_9
| spl31_11
| spl31_13
| spl31_15
| spl31_17 ),
inference(forward_subsumption_resolution,[],[f1656,f215]) ).
fof(f1661,plain,
( ! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| leq(n0,sK27)
| sP7
| sP6 )
| spl31_1
| spl31_7
| spl31_9
| spl31_11
| spl31_13
| spl31_15
| spl31_17 ),
inference(forward_subsumption_resolution,[],[f1657,f215]) ).
fof(f1711,plain,
( ! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| leq(sK27,n2)
| sP7
| sP6
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 )
| spl31_1 ),
inference(forward_subsumption_resolution,[],[f154,f161]) ).
fof(f1712,plain,
( ! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| leq(n0,sK28)
| sP7 )
| spl31_1
| spl31_5
| spl31_7
| spl31_9
| spl31_11
| spl31_13
| spl31_15
| spl31_17 ),
inference(forward_subsumption_resolution,[],[f1660,f179]) ).
fof(f1713,plain,
( ! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| leq(n0,sK27)
| sP7 )
| spl31_1
| spl31_5
| spl31_7
| spl31_9
| spl31_11
| spl31_13
| spl31_15
| spl31_17 ),
inference(forward_subsumption_resolution,[],[f1661,f179]) ).
fof(f1715,plain,
( ! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| leq(sK27,n2)
| sP7
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 )
| spl31_1
| spl31_5 ),
inference(forward_subsumption_resolution,[],[f1711,f179]) ).
fof(f1716,plain,
( ! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| leq(sK27,n2)
| sP7
| sP4
| sP3
| sP0
| sP1
| sP2 )
| spl31_1
| spl31_5
| spl31_7 ),
inference(forward_subsumption_resolution,[],[f1715,f188]) ).
fof(f1717,plain,
( ! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| leq(sK27,n2)
| sP7
| sP3
| sP0
| sP1
| sP2 )
| spl31_1
| spl31_5
| spl31_7
| spl31_9 ),
inference(forward_subsumption_resolution,[],[f1716,f197]) ).
fof(f1718,plain,
( ! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| leq(sK27,n2)
| sP7
| sP0
| sP1
| sP2 )
| spl31_1
| spl31_5
| spl31_7
| spl31_9
| spl31_11 ),
inference(forward_subsumption_resolution,[],[f1717,f206]) ).
fof(f1719,plain,
( ! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| leq(sK27,n2)
| sP7
| sP1
| sP2 )
| spl31_1
| spl31_5
| spl31_7
| spl31_9
| spl31_11
| spl31_17 ),
inference(forward_subsumption_resolution,[],[f1718,f233]) ).
fof(f1720,plain,
( ! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| leq(sK27,n2)
| sP7
| sP2 )
| spl31_1
| spl31_5
| spl31_7
| spl31_9
| spl31_11
| spl31_15
| spl31_17 ),
inference(forward_subsumption_resolution,[],[f1719,f224]) ).
fof(f1721,plain,
( ! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| leq(sK27,n2)
| sP7 )
| spl31_1
| spl31_5
| spl31_7
| spl31_9
| spl31_11
| spl31_13
| spl31_15
| spl31_17 ),
inference(forward_subsumption_resolution,[],[f1720,f215]) ).
fof(f1738,plain,
( ! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| leq(n0,sK28) )
| spl31_1
| spl31_3
| spl31_5
| spl31_7
| spl31_9
| spl31_11
| spl31_13
| spl31_15
| spl31_17 ),
inference(forward_subsumption_resolution,[],[f1712,f170]) ).
fof(f1740,definition,
( spl31_128
<=> leq(n0,sK28) ),
introduced(definition,[new_symbols(definition,[spl31_128])],[avatar_definition]) ).
fof(f1742,plain,
( leq(n0,sK28)
| ~ spl31_128 ),
inference(avatar_component_clause,[],[f1740]) ).
fof(f1743,plain,
( spl31_128
| spl31_36
| spl31_1
| spl31_3
| spl31_5
| spl31_7
| spl31_9
| spl31_11
| spl31_13
| spl31_15
| spl31_17 ),
inference(avatar_split_clause,[],[f1738,f231,f222,f213,f204,f195,f186,f177,f168,f159,f352,f1740]) ).
fof(f1750,plain,
( ! [X0] :
( ~ leq(n0,X0)
| init = a_select3(h_ds1_filter_init,X0,sK28)
| ~ leq(X0,n2)
| ~ leq(sK28,n5) )
| ~ spl31_128 ),
inference(resolution,[],[f1742,f112]) ).
fof(f1765,plain,
( ! [X0] :
( ~ leq(n0,X0)
| init = a_select3(h_ds1_filter_init,X0,sK28)
| ~ leq(X0,n2) )
| ~ spl31_33
| ~ spl31_128 ),
inference(forward_subsumption_resolution,[],[f1750,f344]) ).
fof(f1839,plain,
( ! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| leq(n0,sK27) )
| spl31_1
| spl31_3
| spl31_5
| spl31_7
| spl31_9
| spl31_11
| spl31_13
| spl31_15
| spl31_17 ),
inference(forward_subsumption_resolution,[],[f1713,f170]) ).
fof(f1841,definition,
( spl31_139
<=> leq(n0,sK27) ),
introduced(definition,[new_symbols(definition,[spl31_139])],[avatar_definition]) ).
fof(f1843,plain,
( leq(n0,sK27)
| ~ spl31_139 ),
inference(avatar_component_clause,[],[f1841]) ).
fof(f1844,plain,
( spl31_139
| spl31_36
| spl31_1
| spl31_3
| spl31_5
| spl31_7
| spl31_9
| spl31_11
| spl31_13
| spl31_15
| spl31_17 ),
inference(avatar_split_clause,[],[f1839,f231,f222,f213,f204,f195,f186,f177,f168,f159,f352,f1841]) ).
fof(f1865,plain,
( init = a_select3(h_ds1_filter_init,sK27,sK28)
| ~ leq(sK27,n2)
| ~ spl31_33
| ~ spl31_128
| ~ spl31_139 ),
inference(resolution,[],[f1843,f1765]) ).
fof(f1890,definition,
( spl31_145
<=> leq(sK27,n2) ),
introduced(definition,[new_symbols(definition,[spl31_145])],[avatar_definition]) ).
fof(f1891,plain,
( leq(sK27,n2)
| ~ spl31_145 ),
inference(avatar_component_clause,[],[f1890]) ).
fof(f1911,plain,
( ! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| leq(sK27,n2) )
| spl31_1
| spl31_3
| spl31_5
| spl31_7
| spl31_9
| spl31_11
| spl31_13
| spl31_15
| spl31_17 ),
inference(forward_subsumption_resolution,[],[f1721,f170]) ).
fof(f1912,plain,
( spl31_145
| spl31_36
| spl31_1
| spl31_3
| spl31_5
| spl31_7
| spl31_9
| spl31_11
| spl31_13
| spl31_15
| spl31_17 ),
inference(avatar_split_clause,[],[f1911,f231,f222,f213,f204,f195,f186,f177,f168,f159,f352,f1890]) ).
fof(f1916,plain,
( leq(sK12,n0)
| ~ spl31_3 ),
inference(forward_subsumption_resolution,[],[f55,f169]) ).
fof(f1917,plain,
( leq(sK11,n5)
| ~ spl31_3 ),
inference(forward_subsumption_resolution,[],[f56,f169]) ).
fof(f1918,plain,
( leq(n0,sK12)
| ~ spl31_3 ),
inference(forward_subsumption_resolution,[],[f57,f169]) ).
fof(f1923,plain,
( ! [X0] :
( ~ leq(n0,X0)
| init = a_select3(dv_ds1_filter_init,X0,sK12)
| ~ leq(X0,n5)
| ~ leq(sK12,n0) )
| ~ spl31_3 ),
inference(resolution,[],[f1918,f110]) ).
fof(f1944,plain,
( ! [X0] :
( ~ leq(n0,X0)
| init = a_select3(dv_ds1_filter_init,X0,sK12)
| ~ leq(X0,n5) )
| ~ spl31_3 ),
inference(forward_subsumption_resolution,[],[f1923,f1916]) ).
fof(f1986,plain,
( leq(n0,sK11)
| ~ spl31_3 ),
inference(forward_subsumption_resolution,[],[f58,f169]) ).
fof(f2012,plain,
( init = a_select3(dv_ds1_filter_init,sK11,sK12)
| ~ leq(sK11,n5)
| ~ spl31_3 ),
inference(resolution,[],[f1986,f1944]) ).
fof(f2014,plain,
( ~ leq(sK11,n5)
| ~ spl31_3
| spl31_4 ),
inference(forward_subsumption_resolution,[],[f2012,f174]) ).
fof(f2020,plain,
( $false
| ~ spl31_3
| spl31_4 ),
inference(forward_subsumption_resolution,[],[f2014,f1917]) ).
fof(f2021,plain,
( ~ spl31_3
| spl31_4 ),
inference(avatar_contradiction_clause,[],[f2020]) ).
fof(f2038,plain,
( leq(sK16,n2)
| ~ spl31_7 ),
inference(forward_subsumption_resolution,[],[f65,f187]) ).
fof(f2039,plain,
( leq(sK15,n2)
| ~ spl31_7 ),
inference(forward_subsumption_resolution,[],[f66,f187]) ).
fof(f2040,plain,
( leq(n0,sK16)
| ~ spl31_7 ),
inference(forward_subsumption_resolution,[],[f67,f187]) ).
fof(f2043,plain,
( ! [X0] :
( ~ leq(n0,X0)
| init = a_select3(r_ds1_filter_init,X0,sK16)
| ~ leq(X0,n2)
| ~ leq(sK16,n2) )
| ~ spl31_7 ),
inference(resolution,[],[f2040,f108]) ).
fof(f2066,plain,
( ! [X0] :
( ~ leq(n0,X0)
| init = a_select3(r_ds1_filter_init,X0,sK16)
| ~ leq(X0,n2) )
| ~ spl31_7 ),
inference(forward_subsumption_resolution,[],[f2043,f2038]) ).
fof(f2087,plain,
( leq(n0,sK15)
| ~ spl31_7 ),
inference(forward_subsumption_resolution,[],[f68,f187]) ).
fof(f2113,plain,
( init = a_select3(r_ds1_filter_init,sK15,sK16)
| ~ leq(sK15,n2)
| ~ spl31_7 ),
inference(resolution,[],[f2087,f2066]) ).
fof(f2114,plain,
( ~ leq(sK15,n2)
| ~ spl31_7
| spl31_8 ),
inference(forward_subsumption_resolution,[],[f2113,f192]) ).
fof(f2116,plain,
( $false
| ~ spl31_7
| spl31_8 ),
inference(forward_subsumption_resolution,[],[f2114,f2039]) ).
fof(f2117,plain,
( ~ spl31_7
| spl31_8 ),
inference(avatar_contradiction_clause,[],[f2116]) ).
fof(f2119,plain,
( ! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| init != a_select3(h_ds1_filter_init,sK27,sK28)
| sP6
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 )
| spl31_1
| spl31_3 ),
inference(forward_subsumption_resolution,[],[f1411,f170]) ).
fof(f2120,plain,
( ! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| init != a_select3(h_ds1_filter_init,sK27,sK28)
| sP5
| sP4
| sP3
| sP0
| sP1
| sP2 )
| spl31_1
| spl31_3
| spl31_5 ),
inference(forward_subsumption_resolution,[],[f2119,f179]) ).
fof(f2121,plain,
( ! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| init != a_select3(h_ds1_filter_init,sK27,sK28)
| sP5
| sP3
| sP0
| sP1
| sP2 )
| spl31_1
| spl31_3
| spl31_5
| spl31_9 ),
inference(forward_subsumption_resolution,[],[f2120,f197]) ).
fof(f2122,plain,
( ! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| init != a_select3(h_ds1_filter_init,sK27,sK28)
| sP5
| sP0
| sP1
| sP2 )
| spl31_1
| spl31_3
| spl31_5
| spl31_9
| spl31_11 ),
inference(forward_subsumption_resolution,[],[f2121,f206]) ).
fof(f2123,plain,
( ! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| init != a_select3(h_ds1_filter_init,sK27,sK28)
| sP5
| sP1
| sP2 )
| spl31_1
| spl31_3
| spl31_5
| spl31_9
| spl31_11
| spl31_17 ),
inference(forward_subsumption_resolution,[],[f2122,f233]) ).
fof(f2124,plain,
( ! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| init != a_select3(h_ds1_filter_init,sK27,sK28)
| sP5
| sP2 )
| spl31_1
| spl31_3
| spl31_5
| spl31_9
| spl31_11
| spl31_15
| spl31_17 ),
inference(forward_subsumption_resolution,[],[f2123,f224]) ).
fof(f2125,plain,
( ! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| init != a_select3(h_ds1_filter_init,sK27,sK28)
| sP5 )
| spl31_1
| spl31_3
| spl31_5
| spl31_9
| spl31_11
| spl31_13
| spl31_15
| spl31_17 ),
inference(forward_subsumption_resolution,[],[f2124,f215]) ).
fof(f2126,plain,
( init = a_select3(h_ds1_filter_init,sK27,sK28)
| ~ spl31_33
| ~ spl31_128
| ~ spl31_139
| ~ spl31_145 ),
inference(forward_subsumption_resolution,[],[f1865,f1891]) ).
fof(f2127,plain,
( ! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| sP5 )
| spl31_1
| spl31_3
| spl31_5
| spl31_9
| spl31_11
| spl31_13
| spl31_15
| spl31_17
| ~ spl31_33
| ~ spl31_128
| ~ spl31_139
| ~ spl31_145 ),
inference(forward_subsumption_resolution,[],[f2125,f2126]) ).
fof(f2128,plain,
( ! [X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(n0,X1)
| ~ leq(X1,n5) )
| spl31_1
| spl31_3
| spl31_5
| spl31_7
| spl31_9
| spl31_11
| spl31_13
| spl31_15
| spl31_17
| ~ spl31_33
| ~ spl31_128
| ~ spl31_139
| ~ spl31_145 ),
inference(forward_subsumption_resolution,[],[f2127,f188]) ).
fof(f2129,plain,
( spl31_36
| spl31_1
| spl31_3
| spl31_5
| spl31_7
| spl31_9
| spl31_11
| spl31_13
| spl31_15
| spl31_17
| ~ spl31_33
| ~ spl31_128
| ~ spl31_139
| ~ spl31_145 ),
inference(avatar_split_clause,[],[f2128,f1890,f1841,f1740,f342,f231,f222,f213,f204,f195,f186,f177,f168,f159,f352]) ).
cnf(s87,plain,
( ~ spl31_1
| ~ spl31_2 ),
inference(sat_conversion,[],[f166]) ).
cnf(s91,plain,
( ~ spl31_3
| ~ spl31_4 ),
inference(sat_conversion,[],[f175]) ).
cnf(s95,plain,
( ~ spl31_5
| ~ spl31_6 ),
inference(sat_conversion,[],[f184]) ).
cnf(s99,plain,
( ~ spl31_7
| ~ spl31_8 ),
inference(sat_conversion,[],[f193]) ).
cnf(s103,plain,
( ~ spl31_9
| ~ spl31_10 ),
inference(sat_conversion,[],[f202]) ).
cnf(s107,plain,
( ~ spl31_11
| ~ spl31_12 ),
inference(sat_conversion,[],[f211]) ).
cnf(s111,plain,
( ~ spl31_13
| ~ spl31_14 ),
inference(sat_conversion,[],[f220]) ).
cnf(s115,plain,
( ~ spl31_15
| ~ spl31_16 ),
inference(sat_conversion,[],[f229]) ).
cnf(s119,plain,
( ~ spl31_17
| ~ spl31_18 ),
inference(sat_conversion,[],[f238]) ).
cnf(s199,plain,
( spl31_1
| spl31_3
| spl31_5
| spl31_7
| spl31_9
| spl31_11
| spl31_13
| spl31_15
| spl31_17
| spl31_33
| spl31_36 ),
inference(sat_conversion,[],[f354]) ).
cnf(s230,plain,
~ spl31_36,
inference(sat_conversion,[],[f431]) ).
cnf(s337,plain,
( ~ spl31_17
| spl31_44 ),
inference(sat_conversion,[],[f561]) ).
cnf(s404,plain,
( ~ spl31_13
| spl31_48 ),
inference(sat_conversion,[],[f647]) ).
cnf(s411,plain,
( ~ spl31_48
| ~ spl31_49
| spl31_51 ),
inference(sat_conversion,[],[f659]) ).
cnf(s417,plain,
( ~ spl31_13
| spl31_49 ),
inference(sat_conversion,[],[f665]) ).
cnf(s439,plain,
( ~ spl31_13
| spl31_14
| ~ spl31_51 ),
inference(sat_conversion,[],[f710]) ).
cnf(s589,plain,
( ~ spl31_1
| spl31_2 ),
inference(sat_conversion,[],[f974]) ).
cnf(s688,plain,
( ~ spl31_11
| spl31_12 ),
inference(sat_conversion,[],[f1140]) ).
cnf(s772,plain,
( ~ spl31_9
| spl31_10 ),
inference(sat_conversion,[],[f1270]) ).
cnf(s794,plain,
( ~ spl31_15
| spl31_101 ),
inference(sat_conversion,[],[f1287]) ).
cnf(s799,plain,
( ~ spl31_101
| ~ spl31_102
| ~ spl31_103
| spl31_105 ),
inference(sat_conversion,[],[f1303]) ).
cnf(s808,plain,
( ~ spl31_15
| spl31_102 ),
inference(sat_conversion,[],[f1310]) ).
cnf(s823,plain,
( ~ spl31_15
| spl31_16
| ~ spl31_105 ),
inference(sat_conversion,[],[f1345]) ).
cnf(s868,plain,
( ~ spl31_15
| spl31_103 ),
inference(sat_conversion,[],[f1408]) ).
cnf(s920,plain,
( ~ spl31_17
| spl31_18
| ~ spl31_44 ),
inference(sat_conversion,[],[f1507]) ).
cnf(s986,plain,
( ~ spl31_5
| spl31_6 ),
inference(sat_conversion,[],[f1635]) ).
cnf(s1051,plain,
( spl31_1
| spl31_3
| spl31_5
| spl31_7
| spl31_9
| spl31_11
| spl31_13
| spl31_15
| spl31_17
| spl31_36
| spl31_128 ),
inference(sat_conversion,[],[f1743]) ).
cnf(s1102,plain,
( spl31_1
| spl31_3
| spl31_5
| spl31_7
| spl31_9
| spl31_11
| spl31_13
| spl31_15
| spl31_17
| spl31_36
| spl31_139 ),
inference(sat_conversion,[],[f1844]) ).
cnf(s1140,plain,
( spl31_1
| spl31_3
| spl31_5
| spl31_7
| spl31_9
| spl31_11
| spl31_13
| spl31_15
| spl31_17
| spl31_36
| spl31_145 ),
inference(sat_conversion,[],[f1912]) ).
cnf(s1188,plain,
( ~ spl31_3
| spl31_4 ),
inference(sat_conversion,[],[f2021]) ).
cnf(s1244,plain,
( ~ spl31_7
| spl31_8 ),
inference(sat_conversion,[],[f2117]) ).
cnf(s1261,plain,
( spl31_1
| spl31_3
| spl31_5
| spl31_7
| spl31_9
| spl31_11
| spl31_13
| spl31_15
| spl31_17
| ~ spl31_33
| spl31_36
| ~ spl31_128
| ~ spl31_139
| ~ spl31_145 ),
inference(sat_conversion,[],[f2129]) ).
cnf(s1263,plain,
( spl31_1
| spl31_3
| spl31_5
| spl31_7
| spl31_9
| spl31_11
| spl31_13
| spl31_15
| spl31_17
| spl31_33 ),
inference(rat,[],[s199,s230]) ).
cnf(s1264,plain,
( spl31_17
| spl31_15
| spl31_5
| spl31_3
| spl31_1
| spl31_7
| spl31_9
| spl31_11
| spl31_13 ),
inference(rat,[],[s1261,s1263,s1051,s1102,s1140,s230]) ).
cnf(s1265,plain,
~ spl31_17,
inference(rat,[],[s920,s119,s337]) ).
cnf(s1266,plain,
~ spl31_15,
inference(rat,[],[s823,s799,s115,s794,s808,s868]) ).
cnf(s1267,plain,
~ spl31_13,
inference(rat,[],[s439,s411,s111,s404,s417]) ).
cnf(s1268,plain,
~ spl31_11,
inference(rat,[],[s107,s688]) ).
cnf(s1269,plain,
~ spl31_9,
inference(rat,[],[s103,s772]) ).
cnf(s1270,plain,
~ spl31_7,
inference(rat,[],[s99,s1244]) ).
cnf(s1271,plain,
~ spl31_5,
inference(rat,[],[s95,s986]) ).
cnf(s1272,plain,
~ spl31_3,
inference(rat,[],[s91,s1188]) ).
cnf(s1273,plain,
spl31_1,
inference(rat,[],[s1264,s1266,s1268,s1270,s1269,s1271,s1267,s1265,s1272]) ).
cnf(s1274,plain,
spl31_2,
inference(rat,[],[s589,s1273]) ).
cnf(s1275,plain,
$false,
inference(rat,[],[s87,s1274,s1273]) ).
fof(f2130,plain,
$false,
inference(avatar_sat_refutation,[],[s1275]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MSC010+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 % Computer : n026.cluster.edu
% 0.12/0.42 % Model : x86_64 x86_64
% 0.12/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.42 % Memory : 8046.5625MB
% 0.12/0.42 % OS : Linux 6.8.0-71-generic
% 0.12/0.42 % CPULimit : 300
% 0.12/0.42 % WCLimit : 300
% 0.12/0.42 % DateTime : Sun Sep 27 17:43:58 UTC 2026
% 0.12/0.42 % CPUTime :
% 0.12/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.47 Running first-order model finding
% 0.12/0.47 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.61 % (3094561)Will run a generic schedule for satisfiability detection.
% 0.20/0.61 % (3094567)% WARNING: option uhcvi not known.
% 0.20/0.61 % (3094567)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2482903607:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.61 % (3094566)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3722153030_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.61 % (3094569)dis+10_1_sil=32000:sp=arity:random_seed=2604460551:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.61 % (3094568)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3817149726:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.61 % (3094570)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3010310387:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.61 % (3094571)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1224262587:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.61 % (3094572)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2715866385:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.61 % TRYING [1]
% 0.20/0.61 % TRYING [2]
% 0.20/0.61 % TRYING [3]
% 0.20/0.61 % (3094568) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3094561-3094568"...
% 0.20/0.61 % (3094569) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3094561-3094569"...
% 0.20/0.61 % (3094570)Instruction limit reached!
% 0.20/0.61 % (3094570)------------------------------
% 0.20/0.61 % (3094570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.61 % (3094570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.61 % (3094570)CaDiCaL version: 2.1.3
% 0.20/0.61 % (3094570)Termination reason: Instruction limit
% 0.20/0.61 % (3094570)Termination phase: Saturation
% 0.20/0.61 % (3094570)Time elapsed: 0.096 s
% 0.20/0.61 % (3094570)Peak memory usage: 12 MB
% 0.20/0.61 % (3094570)Instructions burned: 117 (million)
% 0.20/0.61 % (3094568)...printing done.
% 0.20/0.61 % (3094568)Refutation found. Thanks to Tanya!
% 0.20/0.61 % SZS status Theorem for theBenchmark
% 0.20/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 0.83/0.61 % (3094568)------------------------------
% 0.83/0.61 % (3094568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.61 % (3094568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.61 % (3094568)CaDiCaL version: 2.1.3
% 0.83/0.61 % (3094568)Termination reason: Refutation
% 0.83/0.61 % (3094568)Time elapsed: 0.097 s
% 0.83/0.61 % (3094568)Peak memory usage: 13 MB
% 0.83/0.61 % (3094568)Instructions burned: 102 (million)
% 0.83/0.61 % (3094561)Success in time 0.135 s
% 0.83/0.61 % Vampire exiting
%------------------------------------------------------------------------------