%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV114+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n011.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 : Fri Sep 25 03:16:27 PM UTC 2026
% Result : Theorem 4.96s 2.45s
% Output : CNFRefutation 4.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 81
% Syntax : Number of formulae : 1681 ( 475 unt; 3 def)
% Number of atoms : 4410 (1580 equ)
% Maximal formula atoms : 39 ( 2 avg)
% Number of connectives : 4680 (1951 ~;2506 |; 188 &)
% ( 3 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 22 con; 0-3 aty)
% Number of variables : 1032 ( 0 sgn 994 !; 38 ?; 758 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( X0 = X1
| gt(X1,X0)
| gt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',totality) ).
fof(f2,axiom,
! [X0,X1,X2] :
( ( gt(X1,X2)
& gt(X0,X1) )
=> gt(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',transitivity_gt) ).
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).
fof(f4,axiom,
! [X0] : leq(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',reflexivity_leq) ).
fof(f5,axiom,
! [X0,X1,X2] :
( ( leq(X1,X2)
& leq(X0,X1) )
=> leq(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',transitivity_leq) ).
fof(f8,axiom,
! [X0,X1] :
( gt(X1,X0)
=> leq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_gt1) ).
fof(f9,axiom,
! [X0,X1] :
( ( X0 != X1
& leq(X0,X1) )
=> gt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_gt2) ).
fof(f10,axiom,
! [X0,X1] :
( leq(X0,pred(X1))
<=> gt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_gt_pred) ).
fof(f11,axiom,
! [X0] : gt(succ(X0),X0),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',gt_succ) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
=> leq(X0,succ(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_succ) ).
fof(f13,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> gt(succ(X1),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_succ_gt_equiv) ).
fof(f28,axiom,
succ(tptp_minus_1) = n0,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_tptp_minus_1) ).
fof(f29,axiom,
! [X0] : plus(X0,n1) = succ(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_1_r) ).
fof(f30,axiom,
! [X0] : plus(n1,X0) = succ(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_1_l) ).
fof(f31,axiom,
! [X0] : plus(X0,n2) = succ(succ(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_2_r) ).
fof(f32,axiom,
! [X0] : plus(n2,X0) = succ(succ(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_2_l) ).
fof(f33,axiom,
! [X0] : plus(X0,n3) = succ(succ(succ(X0))),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_3_r) ).
fof(f34,axiom,
! [X0] : plus(n3,X0) = succ(succ(succ(X0))),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_3_l) ).
fof(f35,axiom,
! [X0] : plus(X0,n4) = succ(succ(succ(succ(X0)))),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_4_r) ).
fof(f36,axiom,
! [X0] : plus(n4,X0) = succ(succ(succ(succ(X0)))),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_4_l) ).
fof(f37,axiom,
! [X0] : plus(X0,n5) = succ(succ(succ(succ(succ(X0))))),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_5_r) ).
fof(f38,axiom,
! [X0] : plus(n5,X0) = succ(succ(succ(succ(succ(X0))))),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_5_l) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).
fof(f40,axiom,
! [X0] : pred(succ(X0)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',pred_succ) ).
fof(f41,axiom,
! [X0] : succ(pred(X0)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_pred) ).
fof(f42,axiom,
! [X0,X1] :
( leq(succ(X0),succ(X1))
<=> leq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_succ_succ) ).
fof(f43,axiom,
! [X0,X1] :
( leq(succ(X0),X1)
=> gt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_succ_gt) ).
fof(f44,axiom,
! [X0,X1] :
( leq(minus(X0,X1),X0)
=> leq(n0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_minus) ).
fof(f53,conjecture,
( ( ! [X4,X5] :
( ( leq(X5,minus(n6,n1))
& leq(X4,minus(n6,n1))
& leq(n0,X5)
& leq(n0,X4) )
=> a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4) )
& ! [X2,X3] :
( ( leq(X3,minus(n3,n1))
& leq(X2,minus(n3,n1))
& leq(n0,X3)
& leq(n0,X2) )
=> a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2) )
& ! [X0,X1] :
( ( leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0) )
=> a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) )
=> ( ! [X12] :
( ( leq(X12,minus(n0,n1))
& leq(n0,X12) )
=> ! [X13] :
( ( leq(X13,minus(n6,n1))
& leq(n0,X13) )
=> a_select3(id_ds1_filter,X12,X13) = a_select3(id_ds1_filter,X13,X12) ) )
& ! [X10,X11] :
( ( leq(X11,minus(n6,n1))
& leq(X10,minus(n6,n1))
& leq(n0,X11)
& leq(n0,X10) )
=> a_select3(pminus_ds1_filter,X10,X11) = a_select3(pminus_ds1_filter,X11,X10) )
& ! [X8,X9] :
( ( leq(X9,minus(n3,n1))
& leq(X8,minus(n3,n1))
& leq(n0,X9)
& leq(n0,X8) )
=> a_select3(r_ds1_filter,X8,X9) = a_select3(r_ds1_filter,X9,X8) )
& ! [X6,X7] :
( ( leq(X7,minus(n6,n1))
& leq(X6,minus(n6,n1))
& leq(n0,X7)
& leq(n0,X6) )
=> a_select3(q_ds1_filter,X6,X7) = a_select3(q_ds1_filter,X7,X6) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_symm_0007) ).
fof(f54,negated_conjecture,
~ ( ( ! [X4,X5] :
( ( leq(X5,minus(n6,n1))
& leq(X4,minus(n6,n1))
& leq(n0,X5)
& leq(n0,X4) )
=> a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4) )
& ! [X2,X3] :
( ( leq(X3,minus(n3,n1))
& leq(X2,minus(n3,n1))
& leq(n0,X3)
& leq(n0,X2) )
=> a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2) )
& ! [X0,X1] :
( ( leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0) )
=> a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) )
=> ( ! [X12] :
( ( leq(X12,minus(n0,n1))
& leq(n0,X12) )
=> ! [X13] :
( ( leq(X13,minus(n6,n1))
& leq(n0,X13) )
=> a_select3(id_ds1_filter,X12,X13) = a_select3(id_ds1_filter,X13,X12) ) )
& ! [X10,X11] :
( ( leq(X11,minus(n6,n1))
& leq(X10,minus(n6,n1))
& leq(n0,X11)
& leq(n0,X10) )
=> a_select3(pminus_ds1_filter,X10,X11) = a_select3(pminus_ds1_filter,X11,X10) )
& ! [X8,X9] :
( ( leq(X9,minus(n3,n1))
& leq(X8,minus(n3,n1))
& leq(n0,X9)
& leq(n0,X8) )
=> a_select3(r_ds1_filter,X8,X9) = a_select3(r_ds1_filter,X9,X8) )
& ! [X6,X7] :
( ( leq(X7,minus(n6,n1))
& leq(X6,minus(n6,n1))
& leq(n0,X7)
& leq(n0,X6) )
=> a_select3(q_ds1_filter,X6,X7) = a_select3(q_ds1_filter,X7,X6) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f55,axiom,
gt(n5,n4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_4) ).
fof(f56,axiom,
gt(n6,n4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_6_4) ).
fof(f57,axiom,
gt(n999,n4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_999_4) ).
fof(f58,axiom,
gt(n6,n5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_6_5) ).
fof(f59,axiom,
gt(n999,n5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_999_5) ).
fof(f60,axiom,
gt(n999,n6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_999_6) ).
fof(f61,axiom,
gt(n4,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_tptp_minus_1) ).
fof(f62,axiom,
gt(n5,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_tptp_minus_1) ).
fof(f63,axiom,
gt(n6,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_6_tptp_minus_1) ).
fof(f64,axiom,
gt(n999,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_999_tptp_minus_1) ).
fof(f65,axiom,
gt(n0,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_0_tptp_minus_1) ).
fof(f66,axiom,
gt(n1,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_1_tptp_minus_1) ).
fof(f67,axiom,
gt(n2,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_2_tptp_minus_1) ).
fof(f68,axiom,
gt(n3,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_3_tptp_minus_1) ).
fof(f69,axiom,
gt(n4,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_0) ).
fof(f70,axiom,
gt(n5,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_0) ).
fof(f71,axiom,
gt(n6,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_6_0) ).
fof(f72,axiom,
gt(n999,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_999_0) ).
fof(f73,axiom,
gt(n1,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_1_0) ).
fof(f74,axiom,
gt(n2,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_2_0) ).
fof(f75,axiom,
gt(n3,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_3_0) ).
fof(f76,axiom,
gt(n4,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_1) ).
fof(f77,axiom,
gt(n5,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_1) ).
fof(f78,axiom,
gt(n6,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_6_1) ).
fof(f79,axiom,
gt(n999,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_999_1) ).
fof(f80,axiom,
gt(n2,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_2_1) ).
fof(f81,axiom,
gt(n3,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_3_1) ).
fof(f82,axiom,
gt(n4,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_2) ).
fof(f83,axiom,
gt(n5,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_2) ).
fof(f84,axiom,
gt(n6,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_6_2) ).
fof(f85,axiom,
gt(n999,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_999_2) ).
fof(f86,axiom,
gt(n3,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_3_2) ).
fof(f87,axiom,
gt(n4,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_3) ).
fof(f88,axiom,
gt(n5,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_3) ).
fof(f89,axiom,
gt(n6,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_6_3) ).
fof(f90,axiom,
gt(n999,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_999_3) ).
fof(f91,axiom,
! [X0] :
( ( leq(X0,n4)
& leq(n0,X0) )
=> ( X0 = n4
| X0 = n3
| X0 = n2
| X0 = n1
| X0 = n0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_4) ).
fof(f92,axiom,
! [X0] :
( ( leq(X0,n5)
& leq(n0,X0) )
=> ( X0 = n5
| X0 = n4
| X0 = n3
| X0 = n2
| X0 = n1
| X0 = n0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_5) ).
fof(f93,axiom,
! [X0] :
( ( leq(X0,n6)
& leq(n0,X0) )
=> ( X0 = n6
| X0 = n5
| X0 = n4
| X0 = n3
| X0 = n2
| X0 = n1
| X0 = n0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_6) ).
fof(f94,axiom,
! [X0] :
( ( leq(X0,n0)
& leq(n0,X0) )
=> X0 = n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_0) ).
fof(f95,axiom,
! [X0] :
( ( leq(X0,n1)
& leq(n0,X0) )
=> ( X0 = n1
| X0 = n0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_1) ).
fof(f96,axiom,
! [X0] :
( ( leq(X0,n2)
& leq(n0,X0) )
=> ( X0 = n2
| X0 = n1
| X0 = n0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_2) ).
fof(f97,axiom,
! [X0] :
( ( leq(X0,n3)
& leq(n0,X0) )
=> ( X0 = n3
| X0 = n2
| X0 = n1
| X0 = n0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_3) ).
fof(f98,axiom,
succ(succ(succ(succ(n0)))) = n4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_4) ).
fof(f99,axiom,
succ(succ(succ(succ(succ(n0))))) = n5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_5) ).
fof(f100,axiom,
succ(succ(succ(succ(succ(succ(n0)))))) = n6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_6) ).
fof(f101,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_1) ).
fof(f102,axiom,
succ(succ(n0)) = n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_2) ).
fof(f103,axiom,
succ(succ(succ(n0))) = n3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_3) ).
fof(f104,plain,
( ! [X4,X5] :
( ~ leq(X5,minus(n6,n1))
| ~ leq(X4,minus(n6,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4)
| a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4) )
& ! [X2,X3] :
( ~ leq(X3,minus(n3,n1))
| ~ leq(X2,minus(n3,n1))
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2) )
& ! [X0,X1] :
( ~ leq(X1,minus(n6,n1))
| ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5)
& ( ? [X12] :
( leq(X12,minus(n0,n1))
& leq(n0,X12)
& ? [X13] :
( leq(X13,minus(n6,n1))
& leq(n0,X13)
& a_select3(id_ds1_filter,X12,X13) != a_select3(id_ds1_filter,X13,X12) ) )
| ? [X10,X11] :
( leq(X11,minus(n6,n1))
& leq(X10,minus(n6,n1))
& leq(n0,X11)
& leq(n0,X10)
& a_select3(pminus_ds1_filter,X10,X11) != a_select3(pminus_ds1_filter,X11,X10) )
| ? [X8,X9] :
( leq(X9,minus(n3,n1))
& leq(X8,minus(n3,n1))
& leq(n0,X9)
& leq(n0,X8)
& a_select3(r_ds1_filter,X8,X9) != a_select3(r_ds1_filter,X9,X8) )
| ? [X6,X7] :
( leq(X7,minus(n6,n1))
& leq(X6,minus(n6,n1))
& leq(n0,X7)
& leq(n0,X6)
& a_select3(q_ds1_filter,X6,X7) != a_select3(q_ds1_filter,X7,X6) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f105,plain,
( ! [X4,X5] :
( ~ leq(X5,minus(n6,n1))
| ~ leq(X4,minus(n6,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4)
| a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4) )
& ! [X2,X3] :
( ~ leq(X3,minus(n3,n1))
| ~ leq(X2,minus(n3,n1))
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2) )
& ! [X0,X1] :
( ~ leq(X1,minus(n6,n1))
| ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5)
& ( ? [X12] :
( leq(X12,minus(n0,n1))
& leq(n0,X12)
& ? [X13] :
( leq(X13,minus(n6,n1))
& leq(n0,X13)
& a_select3(id_ds1_filter,X12,X13) != a_select3(id_ds1_filter,X13,X12) ) )
| ? [X10,X11] :
( leq(X11,minus(n6,n1))
& leq(X10,minus(n6,n1))
& leq(n0,X11)
& leq(n0,X10)
& a_select3(pminus_ds1_filter,X10,X11) != a_select3(pminus_ds1_filter,X11,X10) )
| ? [X8,X9] :
( leq(X9,minus(n3,n1))
& leq(X8,minus(n3,n1))
& leq(n0,X9)
& leq(n0,X8)
& a_select3(r_ds1_filter,X8,X9) != a_select3(r_ds1_filter,X9,X8) )
| ? [X6,X7] :
( leq(X7,minus(n6,n1))
& leq(X6,minus(n6,n1))
& leq(n0,X7)
& leq(n0,X6)
& a_select3(q_ds1_filter,X6,X7) != a_select3(q_ds1_filter,X7,X6) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ) ),
inference(flattening,[],[f104]) ).
fof(f106,plain,
! [X0] :
( ~ leq(X0,n0)
| ~ leq(n0,X0)
| X0 = n0 ),
inference(ennf_transformation,[],[f94]) ).
fof(f107,plain,
! [X0] :
( ~ leq(X0,n0)
| ~ leq(n0,X0)
| X0 = n0 ),
inference(flattening,[],[f106]) ).
fof(f108,plain,
! [X0,X1] :
( X0 = X1
| ~ leq(X0,X1)
| gt(X1,X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f109,plain,
! [X0,X1] :
( X0 = X1
| ~ leq(X0,X1)
| gt(X1,X0) ),
inference(flattening,[],[f108]) ).
fof(f110,plain,
! [X0,X1] :
( ~ leq(succ(X0),X1)
| gt(X1,X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f111,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| leq(X0,succ(X1)) ),
inference(ennf_transformation,[],[f12]) ).
fof(f112,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| leq(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f113,plain,
! [X0,X1,X2] :
( ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ),
inference(ennf_transformation,[],[f5]) ).
fof(f114,plain,
! [X0,X1,X2] :
( ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ),
inference(flattening,[],[f113]) ).
fof(f115,plain,
! [X0] :
( ~ leq(X0,n3)
| ~ leq(n0,X0)
| X0 = n3
| X0 = n2
| X0 = n1
| X0 = n0 ),
inference(ennf_transformation,[],[f97]) ).
fof(f116,plain,
! [X0] :
( ~ leq(X0,n3)
| ~ leq(n0,X0)
| X0 = n3
| X0 = n2
| X0 = n1
| X0 = n0 ),
inference(flattening,[],[f115]) ).
fof(f117,plain,
! [X0] :
( ~ leq(X0,n2)
| ~ leq(n0,X0)
| X0 = n2
| X0 = n1
| X0 = n0 ),
inference(ennf_transformation,[],[f96]) ).
fof(f118,plain,
! [X0] :
( ~ leq(X0,n2)
| ~ leq(n0,X0)
| X0 = n2
| X0 = n1
| X0 = n0 ),
inference(flattening,[],[f117]) ).
fof(f119,plain,
! [X0] :
( ~ leq(X0,n1)
| ~ leq(n0,X0)
| X0 = n1
| X0 = n0 ),
inference(ennf_transformation,[],[f95]) ).
fof(f120,plain,
! [X0] :
( ~ leq(X0,n1)
| ~ leq(n0,X0)
| X0 = n1
| X0 = n0 ),
inference(flattening,[],[f119]) ).
fof(f121,plain,
! [X0] :
( ~ leq(X0,n5)
| ~ leq(n0,X0)
| X0 = n5
| X0 = n4
| X0 = n3
| X0 = n2
| X0 = n1
| X0 = n0 ),
inference(ennf_transformation,[],[f92]) ).
fof(f122,plain,
! [X0] :
( ~ leq(X0,n5)
| ~ leq(n0,X0)
| X0 = n5
| X0 = n4
| X0 = n3
| X0 = n2
| X0 = n1
| X0 = n0 ),
inference(flattening,[],[f121]) ).
fof(f123,plain,
! [X0] :
( ~ leq(X0,n4)
| ~ leq(n0,X0)
| X0 = n4
| X0 = n3
| X0 = n2
| X0 = n1
| X0 = n0 ),
inference(ennf_transformation,[],[f91]) ).
fof(f124,plain,
! [X0] :
( ~ leq(X0,n4)
| ~ leq(n0,X0)
| X0 = n4
| X0 = n3
| X0 = n2
| X0 = n1
| X0 = n0 ),
inference(flattening,[],[f123]) ).
fof(f125,plain,
! [X0] :
( ~ leq(X0,n6)
| ~ leq(n0,X0)
| X0 = n6
| X0 = n5
| X0 = n4
| X0 = n3
| X0 = n2
| X0 = n1
| X0 = n0 ),
inference(ennf_transformation,[],[f93]) ).
fof(f126,plain,
! [X0] :
( ~ leq(X0,n6)
| ~ leq(n0,X0)
| X0 = n6
| X0 = n5
| X0 = n4
| X0 = n3
| X0 = n2
| X0 = n1
| X0 = n0 ),
inference(flattening,[],[f125]) ).
fof(f127,plain,
! [X0,X1] :
( ~ leq(minus(X0,X1),X0)
| leq(n0,X1) ),
inference(ennf_transformation,[],[f44]) ).
fof(f128,plain,
! [X0,X1,X2] :
( ~ gt(X1,X2)
| ~ gt(X0,X1)
| gt(X0,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f129,plain,
! [X0,X1,X2] :
( ~ gt(X1,X2)
| ~ gt(X0,X1)
| gt(X0,X2) ),
inference(flattening,[],[f128]) ).
fof(f134,plain,
( ~ sP2
| ? [X8,X9] :
( leq(X9,minus(n3,n1))
& leq(X8,minus(n3,n1))
& leq(n0,X9)
& leq(n0,X8)
& a_select3(r_ds1_filter,X8,X9) != a_select3(r_ds1_filter,X9,X8) ) ),
inference(nnf_transformation,[],[f132]) ).
fof(f135,plain,
( ~ sP2
| ? [X0,X1] :
( leq(X1,minus(n3,n1))
& leq(X0,minus(n3,n1))
& leq(n0,X1)
& leq(n0,X0)
& a_select3(r_ds1_filter,X0,X1) != a_select3(r_ds1_filter,X1,X0) ) ),
inference(rectify,[],[f134]) ).
fof(f136,plain,
( ~ sP2
| ( leq(sK4,minus(n3,n1))
& leq(sK3,minus(n3,n1))
& leq(n0,sK4)
& leq(n0,sK3)
& a_select3(r_ds1_filter,sK3,sK4) != a_select3(r_ds1_filter,sK4,sK3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4]),skolemize(X0,sK3),skolemize(X1,sK4)],[f135]) ).
fof(f137,plain,
( ~ sP1
| ? [X10,X11] :
( leq(X11,minus(n6,n1))
& leq(X10,minus(n6,n1))
& leq(n0,X11)
& leq(n0,X10)
& a_select3(pminus_ds1_filter,X10,X11) != a_select3(pminus_ds1_filter,X11,X10) ) ),
inference(nnf_transformation,[],[f131]) ).
fof(f138,plain,
( ~ sP1
| ? [X0,X1] :
( leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0)
& a_select3(pminus_ds1_filter,X0,X1) != a_select3(pminus_ds1_filter,X1,X0) ) ),
inference(rectify,[],[f137]) ).
fof(f139,plain,
( ~ sP1
| ( leq(sK6,minus(n6,n1))
& leq(sK5,minus(n6,n1))
& leq(n0,sK6)
& leq(n0,sK5)
& a_select3(pminus_ds1_filter,sK5,sK6) != a_select3(pminus_ds1_filter,sK6,sK5) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6]),skolemize(X0,sK5),skolemize(X1,sK6)],[f138]) ).
fof(f143,plain,
( ! [X6,X7] :
( ~ leq(X7,minus(n6,n1))
| ~ leq(X6,minus(n6,n1))
| ~ leq(n0,X7)
| ~ leq(n0,X6)
| a_select3(pminus_ds1_filter,X6,X7) = a_select3(pminus_ds1_filter,X7,X6) )
& ! [X4,X5] :
( ~ leq(X5,minus(n3,n1))
| ~ leq(X4,minus(n3,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4)
| a_select3(r_ds1_filter,X4,X5) = a_select3(r_ds1_filter,X5,X4) )
& ! [X2,X3] :
( ~ leq(X3,minus(n6,n1))
| ~ leq(X2,minus(n6,n1))
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| a_select3(q_ds1_filter,X2,X3) = a_select3(q_ds1_filter,X3,X2) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5)
& ( sP0
| sP1
| sP2
| ? [X0,X1] :
( leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0)
& a_select3(q_ds1_filter,X0,X1) != a_select3(q_ds1_filter,X1,X0) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ) ),
inference(rectify,[],[f133]) ).
fof(f144,plain,
( ! [X6,X7] :
( ~ leq(X7,minus(n6,n1))
| ~ leq(X6,minus(n6,n1))
| ~ leq(n0,X7)
| ~ leq(n0,X6)
| a_select3(pminus_ds1_filter,X6,X7) = a_select3(pminus_ds1_filter,X7,X6) )
& ! [X4,X5] :
( ~ leq(X5,minus(n3,n1))
| ~ leq(X4,minus(n3,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4)
| a_select3(r_ds1_filter,X4,X5) = a_select3(r_ds1_filter,X5,X4) )
& ! [X2,X3] :
( ~ leq(X3,minus(n6,n1))
| ~ leq(X2,minus(n6,n1))
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| a_select3(q_ds1_filter,X2,X3) = a_select3(q_ds1_filter,X3,X2) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5)
& ( sP0
| sP1
| sP2
| ( leq(sK10,minus(n6,n1))
& leq(sK9,minus(n6,n1))
& leq(n0,sK10)
& leq(n0,sK9)
& a_select3(q_ds1_filter,sK9,sK10) != a_select3(q_ds1_filter,sK10,sK9) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10]),skolemize(X0,sK9),skolemize(X1,sK10)],[f143]) ).
fof(f145,plain,
! [X0,X1] :
( ( ~ leq(succ(X0),succ(X1))
| leq(X0,X1) )
& ( ~ leq(X0,X1)
| leq(succ(X0),succ(X1)) ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f146,plain,
! [X0,X1] :
( ( ~ leq(X0,X1)
| gt(succ(X1),X0) )
& ( ~ gt(succ(X1),X0)
| leq(X0,X1) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f147,plain,
! [X0,X1] :
( ( ~ leq(X0,pred(X1))
| gt(X1,X0) )
& ( ~ gt(X1,X0)
| leq(X0,pred(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f148,plain,
( ~ sP2
| leq(sK4,minus(n3,n1)) ),
inference(cnf_transformation,[],[f136]) ).
fof(f149,plain,
( ~ sP2
| leq(sK3,minus(n3,n1)) ),
inference(cnf_transformation,[],[f136]) ).
fof(f150,plain,
( ~ sP2
| leq(n0,sK4) ),
inference(cnf_transformation,[],[f136]) ).
fof(f151,plain,
( ~ sP2
| leq(n0,sK3) ),
inference(cnf_transformation,[],[f136]) ).
fof(f152,plain,
( ~ sP2
| a_select3(r_ds1_filter,sK3,sK4) != a_select3(r_ds1_filter,sK4,sK3) ),
inference(cnf_transformation,[],[f136]) ).
fof(f153,plain,
( ~ sP1
| leq(sK6,minus(n6,n1)) ),
inference(cnf_transformation,[],[f139]) ).
fof(f154,plain,
( ~ sP1
| leq(sK5,minus(n6,n1)) ),
inference(cnf_transformation,[],[f139]) ).
fof(f155,plain,
( ~ sP1
| leq(n0,sK6) ),
inference(cnf_transformation,[],[f139]) ).
fof(f156,plain,
( ~ sP1
| leq(n0,sK5) ),
inference(cnf_transformation,[],[f139]) ).
fof(f157,plain,
( ~ sP1
| a_select3(pminus_ds1_filter,sK5,sK6) != a_select3(pminus_ds1_filter,sK6,sK5) ),
inference(cnf_transformation,[],[f139]) ).
fof(f163,plain,
! [X6,X7] :
( ~ leq(X7,minus(n6,n1))
| ~ leq(X6,minus(n6,n1))
| ~ leq(n0,X7)
| ~ leq(n0,X6)
| a_select3(pminus_ds1_filter,X6,X7) = a_select3(pminus_ds1_filter,X7,X6) ),
inference(cnf_transformation,[],[f144]) ).
fof(f164,plain,
! [X4,X5] :
( ~ leq(X5,minus(n3,n1))
| ~ leq(X4,minus(n3,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4)
| a_select3(r_ds1_filter,X4,X5) = a_select3(r_ds1_filter,X5,X4) ),
inference(cnf_transformation,[],[f144]) ).
fof(f165,plain,
! [X2,X3] :
( ~ leq(X3,minus(n6,n1))
| ~ leq(X2,minus(n6,n1))
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| a_select3(q_ds1_filter,X2,X3) = a_select3(q_ds1_filter,X3,X2) ),
inference(cnf_transformation,[],[f144]) ).
fof(f166,plain,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[],[f144]) ).
fof(f167,plain,
leq(n0,pv5),
inference(cnf_transformation,[],[f144]) ).
fof(f168,plain,
( sP0
| sP1
| sP2
| leq(sK10,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(cnf_transformation,[],[f144]) ).
fof(f169,plain,
( sP0
| sP1
| sP2
| leq(sK9,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(cnf_transformation,[],[f144]) ).
fof(f170,plain,
( sP0
| sP1
| sP2
| leq(n0,sK10)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(cnf_transformation,[],[f144]) ).
fof(f171,plain,
( sP0
| sP1
| sP2
| leq(n0,sK9)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(cnf_transformation,[],[f144]) ).
fof(f172,plain,
( sP0
| sP1
| sP2
| a_select3(q_ds1_filter,sK9,sK10) != a_select3(q_ds1_filter,sK10,sK9)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(cnf_transformation,[],[f144]) ).
fof(f173,plain,
! [X0] :
( ~ leq(X0,n0)
| ~ leq(n0,X0)
| n0 = X0 ),
inference(cnf_transformation,[],[f107]) ).
fof(f174,plain,
! [X0,X1] :
( X0 = X1
| ~ leq(X0,X1)
| gt(X1,X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f175,plain,
! [X0,X1] :
( X0 = X1
| gt(X1,X0)
| gt(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f176,plain,
! [X0,X1] :
( ~ leq(succ(X0),X1)
| gt(X1,X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f177,plain,
! [X0,X1] :
( ~ leq(succ(X0),succ(X1))
| leq(X0,X1) ),
inference(cnf_transformation,[],[f145]) ).
fof(f178,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| leq(succ(X0),succ(X1)) ),
inference(cnf_transformation,[],[f145]) ).
fof(f179,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| gt(succ(X1),X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f180,plain,
! [X0,X1] :
( ~ gt(succ(X1),X0)
| leq(X0,X1) ),
inference(cnf_transformation,[],[f146]) ).
fof(f181,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| leq(X0,succ(X1)) ),
inference(cnf_transformation,[],[f111]) ).
fof(f182,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| leq(X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f183,plain,
! [X2,X0,X1] :
( ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ),
inference(cnf_transformation,[],[f114]) ).
fof(f184,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f185,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f101]) ).
fof(f186,plain,
! [X0] :
( ~ leq(X0,n3)
| ~ leq(n0,X0)
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0 ),
inference(cnf_transformation,[],[f116]) ).
fof(f187,plain,
! [X0] :
( ~ leq(X0,n2)
| ~ leq(n0,X0)
| n2 = X0
| n1 = X0
| n0 = X0 ),
inference(cnf_transformation,[],[f118]) ).
fof(f188,plain,
! [X0] :
( ~ leq(X0,n1)
| ~ leq(n0,X0)
| n1 = X0
| n0 = X0 ),
inference(cnf_transformation,[],[f120]) ).
fof(f189,plain,
! [X0] :
( ~ leq(X0,n5)
| ~ leq(n0,X0)
| n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0 ),
inference(cnf_transformation,[],[f122]) ).
fof(f190,plain,
! [X0] :
( ~ leq(X0,n4)
| ~ leq(n0,X0)
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0 ),
inference(cnf_transformation,[],[f124]) ).
fof(f191,plain,
gt(n3,n1),
inference(cnf_transformation,[],[f81]) ).
fof(f192,plain,
gt(n2,n1),
inference(cnf_transformation,[],[f80]) ).
fof(f193,plain,
gt(n5,n1),
inference(cnf_transformation,[],[f77]) ).
fof(f194,plain,
gt(n4,n1),
inference(cnf_transformation,[],[f76]) ).
fof(f195,plain,
gt(n1,n0),
inference(cnf_transformation,[],[f73]) ).
fof(f196,plain,
n3 = succ(succ(succ(n0))),
inference(cnf_transformation,[],[f103]) ).
fof(f197,plain,
! [X0] :
( ~ leq(X0,n6)
| ~ leq(n0,X0)
| n6 = X0
| n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0 ),
inference(cnf_transformation,[],[f126]) ).
fof(f198,plain,
gt(n6,n3),
inference(cnf_transformation,[],[f89]) ).
fof(f199,plain,
gt(n5,n3),
inference(cnf_transformation,[],[f88]) ).
fof(f200,plain,
gt(n4,n3),
inference(cnf_transformation,[],[f87]) ).
fof(f201,plain,
gt(n3,n2),
inference(cnf_transformation,[],[f86]) ).
fof(f202,plain,
gt(n3,n0),
inference(cnf_transformation,[],[f75]) ).
fof(f203,plain,
gt(n3,tptp_minus_1),
inference(cnf_transformation,[],[f68]) ).
fof(f204,plain,
! [X0,X1] :
( ~ leq(minus(X0,X1),X0)
| leq(n0,X1) ),
inference(cnf_transformation,[],[f127]) ).
fof(f205,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f206,plain,
gt(n999,n3),
inference(cnf_transformation,[],[f90]) ).
fof(f207,plain,
gt(n999,n2),
inference(cnf_transformation,[],[f85]) ).
fof(f208,plain,
gt(n999,n1),
inference(cnf_transformation,[],[f79]) ).
fof(f209,plain,
gt(n999,n0),
inference(cnf_transformation,[],[f72]) ).
fof(f210,plain,
gt(n999,tptp_minus_1),
inference(cnf_transformation,[],[f64]) ).
fof(f211,plain,
gt(n999,n6),
inference(cnf_transformation,[],[f60]) ).
fof(f212,plain,
gt(n999,n5),
inference(cnf_transformation,[],[f59]) ).
fof(f213,plain,
gt(n999,n4),
inference(cnf_transformation,[],[f57]) ).
fof(f214,plain,
n6 = succ(succ(succ(succ(succ(succ(n0)))))),
inference(cnf_transformation,[],[f100]) ).
fof(f215,plain,
gt(n6,n2),
inference(cnf_transformation,[],[f84]) ).
fof(f216,plain,
gt(n6,n1),
inference(cnf_transformation,[],[f78]) ).
fof(f217,plain,
gt(n6,n0),
inference(cnf_transformation,[],[f71]) ).
fof(f218,plain,
gt(n6,tptp_minus_1),
inference(cnf_transformation,[],[f63]) ).
fof(f219,plain,
gt(n6,n5),
inference(cnf_transformation,[],[f58]) ).
fof(f220,plain,
gt(n6,n4),
inference(cnf_transformation,[],[f56]) ).
fof(f221,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f222,plain,
! [X2,X0,X1] :
( ~ gt(X1,X2)
| ~ gt(X0,X1)
| gt(X0,X2) ),
inference(cnf_transformation,[],[f129]) ).
fof(f223,plain,
n2 = succ(succ(n0)),
inference(cnf_transformation,[],[f102]) ).
fof(f224,plain,
! [X0] : gt(succ(X0),X0),
inference(cnf_transformation,[],[f11]) ).
fof(f225,plain,
gt(n5,n2),
inference(cnf_transformation,[],[f83]) ).
fof(f226,plain,
gt(n4,n2),
inference(cnf_transformation,[],[f82]) ).
fof(f227,plain,
gt(n2,n0),
inference(cnf_transformation,[],[f74]) ).
fof(f228,plain,
gt(n2,tptp_minus_1),
inference(cnf_transformation,[],[f67]) ).
fof(f229,plain,
n4 = succ(succ(succ(succ(n0)))),
inference(cnf_transformation,[],[f98]) ).
fof(f230,plain,
gt(n4,n0),
inference(cnf_transformation,[],[f69]) ).
fof(f231,plain,
gt(n4,tptp_minus_1),
inference(cnf_transformation,[],[f61]) ).
fof(f232,plain,
gt(n5,n4),
inference(cnf_transformation,[],[f55]) ).
fof(f233,plain,
! [X0] : succ(succ(succ(succ(X0)))) = plus(n4,X0),
inference(cnf_transformation,[],[f36]) ).
fof(f234,plain,
! [X0] : plus(X0,n4) = succ(succ(succ(succ(X0)))),
inference(cnf_transformation,[],[f35]) ).
fof(f235,plain,
n5 = succ(succ(succ(succ(succ(n0))))),
inference(cnf_transformation,[],[f99]) ).
fof(f236,plain,
gt(n5,n0),
inference(cnf_transformation,[],[f70]) ).
fof(f237,plain,
gt(n5,tptp_minus_1),
inference(cnf_transformation,[],[f62]) ).
fof(f238,plain,
! [X0] : succ(succ(succ(succ(succ(X0))))) = plus(n5,X0),
inference(cnf_transformation,[],[f38]) ).
fof(f239,plain,
! [X0] : plus(X0,n5) = succ(succ(succ(succ(succ(X0))))),
inference(cnf_transformation,[],[f37]) ).
fof(f240,plain,
gt(n1,tptp_minus_1),
inference(cnf_transformation,[],[f66]) ).
fof(f241,plain,
gt(n0,tptp_minus_1),
inference(cnf_transformation,[],[f65]) ).
fof(f242,plain,
n0 = succ(tptp_minus_1),
inference(cnf_transformation,[],[f28]) ).
fof(f243,plain,
! [X0] : succ(pred(X0)) = X0,
inference(cnf_transformation,[],[f41]) ).
fof(f244,plain,
! [X0] : pred(succ(X0)) = X0,
inference(cnf_transformation,[],[f40]) ).
fof(f245,plain,
! [X0,X1] :
( ~ leq(X0,pred(X1))
| gt(X1,X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f246,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| leq(X0,pred(X1)) ),
inference(cnf_transformation,[],[f147]) ).
fof(f247,plain,
! [X0] : succ(succ(succ(X0))) = plus(n3,X0),
inference(cnf_transformation,[],[f34]) ).
fof(f248,plain,
! [X0] : plus(X0,n3) = succ(succ(succ(X0))),
inference(cnf_transformation,[],[f33]) ).
fof(f249,plain,
! [X0] : succ(succ(X0)) = plus(n2,X0),
inference(cnf_transformation,[],[f32]) ).
fof(f250,plain,
! [X0] : plus(X0,n2) = succ(succ(X0)),
inference(cnf_transformation,[],[f31]) ).
fof(f251,plain,
! [X0] : succ(X0) = plus(n1,X0),
inference(cnf_transformation,[],[f30]) ).
fof(f252,plain,
! [X0] : succ(X0) = plus(X0,n1),
inference(cnf_transformation,[],[f29]) ).
fof(f253,plain,
! [X0,X1] :
( ~ leq(plus(n1,X0),X1)
| gt(X1,X0) ),
inference(definition_unfolding,[],[f176,f251]) ).
fof(f254,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| leq(plus(n1,X0),plus(n1,X1)) ),
inference(definition_unfolding,[],[f178,f251,f251]) ).
fof(f255,plain,
! [X0,X1] :
( ~ leq(plus(n1,X0),plus(n1,X1))
| leq(X0,X1) ),
inference(definition_unfolding,[],[f177,f251,f251]) ).
fof(f256,plain,
! [X0,X1] :
( ~ gt(plus(n1,X1),X0)
| leq(X0,X1) ),
inference(definition_unfolding,[],[f180,f251]) ).
fof(f257,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| gt(plus(n1,X1),X0) ),
inference(definition_unfolding,[],[f179,f251]) ).
fof(f258,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| leq(X0,plus(n1,X1)) ),
inference(definition_unfolding,[],[f181,f251]) ).
fof(f259,plain,
n1 = plus(n1,n0),
inference(definition_unfolding,[],[f185,f251]) ).
fof(f260,plain,
n3 = plus(n1,plus(n1,plus(n1,n0))),
inference(definition_unfolding,[],[f196,f251,f251,f251]) ).
fof(f261,plain,
n6 = plus(n1,plus(n1,plus(n1,plus(n1,plus(n1,plus(n1,n0)))))),
inference(definition_unfolding,[],[f214,f251,f251,f251,f251,f251,f251]) ).
fof(f262,plain,
n2 = plus(n1,plus(n1,n0)),
inference(definition_unfolding,[],[f223,f251,f251]) ).
fof(f263,plain,
! [X0] : gt(plus(n1,X0),X0),
inference(definition_unfolding,[],[f224,f251]) ).
fof(f264,plain,
n4 = plus(n1,plus(n1,plus(n1,plus(n1,n0)))),
inference(definition_unfolding,[],[f229,f251,f251,f251,f251]) ).
fof(f265,plain,
! [X0] : plus(n4,X0) = plus(n1,plus(n1,plus(n1,plus(n1,X0)))),
inference(definition_unfolding,[],[f233,f251,f251,f251,f251]) ).
fof(f266,plain,
! [X0] : plus(X0,n4) = plus(n1,plus(n1,plus(n1,plus(n1,X0)))),
inference(definition_unfolding,[],[f234,f251,f251,f251,f251]) ).
fof(f267,plain,
n5 = plus(n1,plus(n1,plus(n1,plus(n1,plus(n1,n0))))),
inference(definition_unfolding,[],[f235,f251,f251,f251,f251,f251]) ).
fof(f268,plain,
! [X0] : plus(n5,X0) = plus(n1,plus(n1,plus(n1,plus(n1,plus(n1,X0))))),
inference(definition_unfolding,[],[f238,f251,f251,f251,f251,f251]) ).
fof(f269,plain,
! [X0] : plus(X0,n5) = plus(n1,plus(n1,plus(n1,plus(n1,plus(n1,X0))))),
inference(definition_unfolding,[],[f239,f251,f251,f251,f251,f251]) ).
fof(f270,plain,
n0 = plus(n1,tptp_minus_1),
inference(definition_unfolding,[],[f242,f251]) ).
fof(f271,plain,
! [X0] : plus(n1,minus(X0,n1)) = X0,
inference(definition_unfolding,[],[f243,f251,f205]) ).
fof(f272,plain,
! [X0] : minus(plus(n1,X0),n1) = X0,
inference(definition_unfolding,[],[f244,f205,f251]) ).
fof(f273,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| leq(X0,minus(X1,n1)) ),
inference(definition_unfolding,[],[f246,f205]) ).
fof(f274,plain,
! [X0,X1] :
( ~ leq(X0,minus(X1,n1))
| gt(X1,X0) ),
inference(definition_unfolding,[],[f245,f205]) ).
fof(f275,plain,
! [X0] : plus(n3,X0) = plus(n1,plus(n1,plus(n1,X0))),
inference(definition_unfolding,[],[f247,f251,f251,f251]) ).
fof(f276,plain,
! [X0] : plus(X0,n3) = plus(n1,plus(n1,plus(n1,X0))),
inference(definition_unfolding,[],[f248,f251,f251,f251]) ).
fof(f277,plain,
! [X0] : plus(n2,X0) = plus(n1,plus(n1,X0)),
inference(definition_unfolding,[],[f249,f251,f251]) ).
fof(f278,plain,
! [X0] : plus(X0,n2) = plus(n1,plus(n1,X0)),
inference(definition_unfolding,[],[f250,f251,f251]) ).
fof(f279,plain,
! [X0] : plus(X0,n1) = plus(n1,X0),
inference(definition_unfolding,[],[f252,f251]) ).
tcf(c_49,plain,
( ~ sP2
| ( a_select3(r_ds1_filter,sK3,sK4) != a_select3(r_ds1_filter,sK4,sK3) ) ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_50,plain,
( leq(n0,sK3)
| ~ sP2 ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_51,plain,
( leq(n0,sK4)
| ~ sP2 ),
inference(cnf_transformation,[],[f150]) ).
tcf(c_52,plain,
( leq(sK3,minus(n3,n1))
| ~ sP2 ),
inference(cnf_transformation,[],[f149]) ).
tcf(c_53,plain,
( leq(sK4,minus(n3,n1))
| ~ sP2 ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_54,plain,
( ~ sP1
| ( a_select3(pminus_ds1_filter,sK5,sK6) != a_select3(pminus_ds1_filter,sK6,sK5) ) ),
inference(cnf_transformation,[],[f157]) ).
tcf(c_55,plain,
( leq(n0,sK5)
| ~ sP1 ),
inference(cnf_transformation,[],[f156]) ).
tcf(c_56,plain,
( leq(n0,sK6)
| ~ sP1 ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_57,plain,
( leq(sK5,minus(n6,n1))
| ~ sP1 ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_58,plain,
( leq(sK6,minus(n6,n1))
| ~ sP1 ),
inference(cnf_transformation,[],[f153]) ).
tcf(c_64,negated_conjecture,
( sP0
| sP1
| sP2
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ( a_select3(q_ds1_filter,sK9,sK10) != a_select3(q_ds1_filter,sK10,sK9) ) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_65,negated_conjecture,
( sP0
| sP1
| sP2
| leq(n0,sK9)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_66,negated_conjecture,
( sP0
| sP1
| sP2
| leq(n0,sK10)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_67,negated_conjecture,
( sP0
| sP1
| sP2
| leq(sK9,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_68,negated_conjecture,
( sP0
| sP1
| sP2
| leq(sK10,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_69,negated_conjecture,
leq(n0,pv5),
inference(cnf_transformation,[],[f167]) ).
tcf(c_70,negated_conjecture,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[],[f166]) ).
tcf(c_71,negated_conjecture,
! [X0: $i,X1: $i] :
( ( a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0) )
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,minus(n6,n1))
| ~ leq(X0,minus(n6,n1)) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_72,negated_conjecture,
! [X0: $i,X1: $i] :
( ( a_select3(r_ds1_filter,X0,X1) = a_select3(r_ds1_filter,X1,X0) )
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,minus(n3,n1))
| ~ leq(X0,minus(n3,n1)) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_73,negated_conjecture,
! [X0: $i,X1: $i] :
( ( a_select3(pminus_ds1_filter,X0,X1) = a_select3(pminus_ds1_filter,X1,X0) )
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,minus(n6,n1))
| ~ leq(X0,minus(n6,n1)) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_74,plain,
! [X0: $i] :
( ( X0 = n0 )
| ~ leq(n0,X0)
| ~ leq(X0,n0) ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] :
( gt(X1,X0)
| ( X0 = X1 )
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i] :
( gt(X1,X0)
| gt(X0,X1)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i] :
( gt(X1,X0)
| ~ leq(plus(n1,X0),X1) ),
inference(cnf_transformation,[],[f253]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i] :
( leq(plus(n1,X0),plus(n1,X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f254]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ~ leq(plus(n1,X0),plus(n1,X1)) ),
inference(cnf_transformation,[],[f255]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| ~ gt(plus(n1,X0),X1) ),
inference(cnf_transformation,[],[f256]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i] :
( gt(plus(n1,X1),X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f257]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i] :
( leq(X0,plus(n1,X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f258]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f183]) ).
tcf(c_85,plain,
! [X0: $i] : leq(X0,X0),
inference(cnf_transformation,[],[f184]) ).
tcf(c_86,plain,
plus(n1,n0) = n1,
inference(cnf_transformation,[],[f259]) ).
tcf(c_87,plain,
! [X0: $i] :
( ( X0 = n2 )
| ( X0 = n1 )
| ( X0 = n3 )
| ( X0 = n0 )
| ~ leq(n0,X0)
| ~ leq(X0,n3) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_88,plain,
! [X0: $i] :
( ( X0 = n2 )
| ( X0 = n1 )
| ( X0 = n0 )
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(cnf_transformation,[],[f187]) ).
tcf(c_89,plain,
! [X0: $i] :
( ( X0 = n1 )
| ( X0 = n0 )
| ~ leq(n0,X0)
| ~ leq(X0,n1) ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_90,plain,
! [X0: $i] :
( ( X0 = n5 )
| ( X0 = n4 )
| ( X0 = n2 )
| ( X0 = n1 )
| ( X0 = n3 )
| ( X0 = n0 )
| ~ leq(n0,X0)
| ~ leq(X0,n5) ),
inference(cnf_transformation,[],[f189]) ).
tcf(c_91,plain,
! [X0: $i] :
( ( X0 = n4 )
| ( X0 = n2 )
| ( X0 = n1 )
| ( X0 = n3 )
| ( X0 = n0 )
| ~ leq(n0,X0)
| ~ leq(X0,n4) ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_92,plain,
gt(n3,n1),
inference(cnf_transformation,[],[f191]) ).
tcf(c_93,plain,
gt(n2,n1),
inference(cnf_transformation,[],[f192]) ).
tcf(c_94,plain,
gt(n5,n1),
inference(cnf_transformation,[],[f193]) ).
tcf(c_95,plain,
gt(n4,n1),
inference(cnf_transformation,[],[f194]) ).
tcf(c_96,plain,
gt(n1,n0),
inference(cnf_transformation,[],[f195]) ).
tcf(c_97,plain,
plus(n1,plus(n1,plus(n1,n0))) = n3,
inference(cnf_transformation,[],[f260]) ).
tcf(c_98,plain,
! [X0: $i] :
( ( X0 = n5 )
| ( X0 = n4 )
| ( X0 = n2 )
| ( X0 = n6 )
| ( X0 = n1 )
| ( X0 = n3 )
| ( X0 = n0 )
| ~ leq(n0,X0)
| ~ leq(X0,n6) ),
inference(cnf_transformation,[],[f197]) ).
tcf(c_99,plain,
gt(n6,n3),
inference(cnf_transformation,[],[f198]) ).
tcf(c_100,plain,
gt(n5,n3),
inference(cnf_transformation,[],[f199]) ).
tcf(c_101,plain,
gt(n4,n3),
inference(cnf_transformation,[],[f200]) ).
tcf(c_102,plain,
gt(n3,n2),
inference(cnf_transformation,[],[f201]) ).
tcf(c_103,plain,
gt(n3,n0),
inference(cnf_transformation,[],[f202]) ).
tcf(c_104,plain,
gt(n3,tptp_minus_1),
inference(cnf_transformation,[],[f203]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i] :
( leq(n0,X1)
| ~ leq(minus(X0,X1),X0) ),
inference(cnf_transformation,[],[f204]) ).
tcf(c_106,plain,
gt(n999,n3),
inference(cnf_transformation,[],[f206]) ).
tcf(c_107,plain,
gt(n999,n2),
inference(cnf_transformation,[],[f207]) ).
tcf(c_108,plain,
gt(n999,n1),
inference(cnf_transformation,[],[f208]) ).
tcf(c_109,plain,
gt(n999,n0),
inference(cnf_transformation,[],[f209]) ).
tcf(c_110,plain,
gt(n999,tptp_minus_1),
inference(cnf_transformation,[],[f210]) ).
tcf(c_111,plain,
gt(n999,n6),
inference(cnf_transformation,[],[f211]) ).
tcf(c_112,plain,
gt(n999,n5),
inference(cnf_transformation,[],[f212]) ).
tcf(c_113,plain,
gt(n999,n4),
inference(cnf_transformation,[],[f213]) ).
tcf(c_114,plain,
plus(n1,plus(n1,plus(n1,plus(n1,plus(n1,plus(n1,n0)))))) = n6,
inference(cnf_transformation,[],[f261]) ).
tcf(c_115,plain,
gt(n6,n2),
inference(cnf_transformation,[],[f215]) ).
tcf(c_116,plain,
gt(n6,n1),
inference(cnf_transformation,[],[f216]) ).
tcf(c_117,plain,
gt(n6,n0),
inference(cnf_transformation,[],[f217]) ).
tcf(c_118,plain,
gt(n6,tptp_minus_1),
inference(cnf_transformation,[],[f218]) ).
tcf(c_119,plain,
gt(n6,n5),
inference(cnf_transformation,[],[f219]) ).
tcf(c_120,plain,
gt(n6,n4),
inference(cnf_transformation,[],[f220]) ).
tcf(c_121,plain,
! [X0: $i] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f221]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i,X2: $i] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[],[f222]) ).
tcf(c_123,plain,
plus(n1,plus(n1,n0)) = n2,
inference(cnf_transformation,[],[f262]) ).
tcf(c_124,plain,
! [X0: $i] : gt(plus(n1,X0),X0),
inference(cnf_transformation,[],[f263]) ).
tcf(c_125,plain,
gt(n5,n2),
inference(cnf_transformation,[],[f225]) ).
tcf(c_126,plain,
gt(n4,n2),
inference(cnf_transformation,[],[f226]) ).
tcf(c_127,plain,
gt(n2,n0),
inference(cnf_transformation,[],[f227]) ).
tcf(c_128,plain,
gt(n2,tptp_minus_1),
inference(cnf_transformation,[],[f228]) ).
tcf(c_129,plain,
plus(n1,plus(n1,plus(n1,plus(n1,n0)))) = n4,
inference(cnf_transformation,[],[f264]) ).
tcf(c_130,plain,
gt(n4,n0),
inference(cnf_transformation,[],[f230]) ).
tcf(c_131,plain,
gt(n4,tptp_minus_1),
inference(cnf_transformation,[],[f231]) ).
tcf(c_132,plain,
gt(n5,n4),
inference(cnf_transformation,[],[f232]) ).
tcf(c_133,plain,
! [X0: $i] : plus(n1,plus(n1,plus(n1,plus(n1,X0)))) = plus(n4,X0),
inference(cnf_transformation,[],[f265]) ).
tcf(c_134,plain,
! [X0: $i] : plus(n1,plus(n1,plus(n1,plus(n1,X0)))) = plus(X0,n4),
inference(cnf_transformation,[],[f266]) ).
tcf(c_135,plain,
plus(n1,plus(n1,plus(n1,plus(n1,plus(n1,n0))))) = n5,
inference(cnf_transformation,[],[f267]) ).
tcf(c_136,plain,
gt(n5,n0),
inference(cnf_transformation,[],[f236]) ).
tcf(c_137,plain,
gt(n5,tptp_minus_1),
inference(cnf_transformation,[],[f237]) ).
tcf(c_138,plain,
! [X0: $i] : plus(n1,plus(n1,plus(n1,plus(n1,plus(n1,X0))))) = plus(n5,X0),
inference(cnf_transformation,[],[f268]) ).
tcf(c_139,plain,
! [X0: $i] : plus(n1,plus(n1,plus(n1,plus(n1,plus(n1,X0))))) = plus(X0,n5),
inference(cnf_transformation,[],[f269]) ).
tcf(c_140,plain,
gt(n1,tptp_minus_1),
inference(cnf_transformation,[],[f240]) ).
tcf(c_141,plain,
gt(n0,tptp_minus_1),
inference(cnf_transformation,[],[f241]) ).
tcf(c_142,plain,
plus(n1,tptp_minus_1) = n0,
inference(cnf_transformation,[],[f270]) ).
tcf(c_143,plain,
! [X0: $i] : plus(n1,minus(X0,n1)) = X0,
inference(cnf_transformation,[],[f271]) ).
tcf(c_144,plain,
! [X0: $i] : minus(plus(n1,X0),n1) = X0,
inference(cnf_transformation,[],[f272]) ).
tcf(c_145,plain,
! [X0: $i,X1: $i] :
( leq(X1,minus(X0,n1))
| ~ gt(X0,X1) ),
inference(cnf_transformation,[],[f273]) ).
tcf(c_146,plain,
! [X0: $i,X1: $i] :
( gt(X1,X0)
| ~ leq(X0,minus(X1,n1)) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_147,plain,
! [X0: $i] : plus(n1,plus(n1,plus(n1,X0))) = plus(n3,X0),
inference(cnf_transformation,[],[f275]) ).
tcf(c_148,plain,
! [X0: $i] : plus(n1,plus(n1,plus(n1,X0))) = plus(X0,n3),
inference(cnf_transformation,[],[f276]) ).
tcf(c_149,plain,
! [X0: $i] : plus(n1,plus(n1,X0)) = plus(n2,X0),
inference(cnf_transformation,[],[f277]) ).
tcf(c_150,plain,
! [X0: $i] : plus(n1,plus(n1,X0)) = plus(X0,n2),
inference(cnf_transformation,[],[f278]) ).
tcf(c_151,plain,
! [X0: $i] : plus(X0,n1) = plus(n1,X0),
inference(cnf_transformation,[],[f279]) ).
tcf(c_182,negated_conjecture,
( sP0
| sP1
| sP2
| leq(n0,sK10) ),
inference(global_subsumption_just,[status(thm)],[c_66,c_69,c_70,c_66]) ).
tcf(c_184,negated_conjecture,
( sP0
| sP1
| sP2
| leq(n0,sK9) ),
inference(global_subsumption_just,[status(thm)],[c_65,c_69,c_70,c_65]) ).
tcf(c_186,negated_conjecture,
( sP0
| sP1
| sP2
| leq(sK10,minus(n6,n1)) ),
inference(global_subsumption_just,[status(thm)],[c_68,c_69,c_70,c_68]) ).
tcf(c_188,negated_conjecture,
( sP0
| sP1
| sP2
| leq(sK9,minus(n6,n1)) ),
inference(global_subsumption_just,[status(thm)],[c_67,c_69,c_70,c_67]) ).
tcf(c_190,negated_conjecture,
( sP0
| sP1
| sP2
| ( a_select3(q_ds1_filter,sK9,sK10) != a_select3(q_ds1_filter,sK10,sK9) ) ),
inference(global_subsumption_just,[status(thm)],[c_64,c_69,c_70,c_64]) ).
tcf(c_897,plain,
plus(n1,n1) = n2,
inference(light_normalisation,[status(thm)],[c_123,c_86]) ).
tcf(c_926,plain,
plus(n1,n2) = n3,
inference(light_normalisation,[status(thm)],[c_97,c_86,c_897]) ).
tcf(c_959,plain,
! [X0: $i] : plus(n1,plus(n2,X0)) = plus(X0,n3),
inference(light_normalisation,[status(thm)],[c_148,c_149]) ).
tcf(c_960,plain,
! [X0: $i] : plus(X0,n3) = plus(n3,X0),
inference(light_normalisation,[status(thm)],[c_147,c_149,c_959]) ).
tcf(c_961,plain,
plus(n1,n3) = n4,
inference(light_normalisation,[status(thm)],[c_129,c_86,c_897,c_926]) ).
tcf(c_988,plain,
plus(n1,n4) = n5,
inference(light_normalisation,[status(thm)],[c_135,c_86,c_897,c_926,c_961]) ).
tcf(c_989,plain,
! [X0: $i] : plus(n1,plus(X0,n3)) = plus(X0,n4),
inference(light_normalisation,[status(thm)],[c_134,c_149,c_959]) ).
tcf(c_990,plain,
! [X0: $i] : plus(X0,n4) = plus(n4,X0),
inference(light_normalisation,[status(thm)],[c_133,c_149,c_959,c_989]) ).
tcf(c_991,plain,
! [X0: $i] : plus(n1,plus(X0,n4)) = plus(X0,n5),
inference(light_normalisation,[status(thm)],[c_139,c_149,c_959,c_989]) ).
tcf(c_992,plain,
! [X0: $i] : plus(X0,n5) = plus(n5,X0),
inference(light_normalisation,[status(thm)],[c_138,c_149,c_959,c_989,c_991]) ).
tcf(c_993,plain,
plus(n1,n5) = n6,
inference(light_normalisation,[status(thm)],[c_114,c_86,c_897,c_926,c_961,c_988]) ).
tcf(c_3808,plain,
! [X0: $i] :
( sP0
| sP1
| sP2
| ( a_select3(q_ds1_filter,X0,sK9) = a_select3(q_ds1_filter,sK9,X0) )
| ~ leq(n0,sK9)
| ~ leq(n0,X0)
| ~ leq(X0,minus(n6,n1)) ),
inference(superposition,[status(thm)],[c_188,c_71]) ).
tcf(c_3809,plain,
! [X0: $i] :
( sP0
| sP1
| sP2
| ( a_select3(q_ds1_filter,X0,sK10) = a_select3(q_ds1_filter,sK10,X0) )
| ~ leq(n0,sK10)
| ~ leq(n0,X0)
| ~ leq(X0,minus(n6,n1)) ),
inference(superposition,[status(thm)],[c_186,c_71]) ).
tcf(c_3826,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,minus(n6,n1),X0) = a_select3(q_ds1_filter,X0,minus(n6,n1)) )
| ~ leq(n0,X0)
| ~ leq(n0,minus(n6,n1))
| ~ leq(X0,minus(n6,n1)) ),
inference(superposition,[status(thm)],[c_85,c_71]) ).
tcf(c_3842,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,minus(n3,n1),X0) = a_select3(r_ds1_filter,X0,minus(n3,n1)) )
| ~ leq(n0,X0)
| ~ leq(n0,minus(n3,n1))
| ~ leq(X0,minus(n3,n1)) ),
inference(superposition,[status(thm)],[c_85,c_72]) ).
tcf(c_3858,plain,
! [X0: $i] :
( sP0
| sP1
| sP2
| ( a_select3(pminus_ds1_filter,X0,sK9) = a_select3(pminus_ds1_filter,sK9,X0) )
| ~ leq(n0,sK9)
| ~ leq(n0,X0)
| ~ leq(X0,minus(n6,n1)) ),
inference(superposition,[status(thm)],[c_188,c_73]) ).
tcf(c_3859,plain,
! [X0: $i] :
( sP0
| sP1
| sP2
| ( a_select3(pminus_ds1_filter,X0,sK10) = a_select3(pminus_ds1_filter,sK10,X0) )
| ~ leq(n0,sK10)
| ~ leq(n0,X0)
| ~ leq(X0,minus(n6,n1)) ),
inference(superposition,[status(thm)],[c_186,c_73]) ).
tcf(c_3860,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,minus(n6,n1),X0) = a_select3(pminus_ds1_filter,X0,minus(n6,n1)) )
| ~ leq(n0,X0)
| ~ leq(n0,minus(n6,n1))
| ~ leq(X0,minus(n6,n1)) ),
inference(superposition,[status(thm)],[c_85,c_73]) ).
tcf(c_3882,plain,
! [X0: $i] :
( sP0
| sP1
| sP2
| ( a_select3(q_ds1_filter,X0,sK9) = a_select3(q_ds1_filter,sK9,X0) )
| ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_3808,c_184,c_3808]) ).
tcf(c_3883,plain,
! [X0: $i] :
( sP0
| sP1
| sP2
| ( a_select3(q_ds1_filter,X0,sK9) = a_select3(q_ds1_filter,sK9,X0) )
| ~ leq(n0,X0)
| ~ leq(X0,minus(n6,n1)) ),
inference(renaming,[status(thm)],[c_3882]) ).
tcf(c_3898,plain,
( sP0
| sP1
| sP2
| ( a_select3(q_ds1_filter,sK9,sK10) = a_select3(q_ds1_filter,sK10,sK9) )
| ~ leq(n0,sK10) ),
inference(superposition,[status(thm)],[c_186,c_3883]) ).
tcf(c_3899,plain,
( sP0
| sP1
| sP2
| ( a_select3(q_ds1_filter,minus(n6,n1),sK9) = a_select3(q_ds1_filter,sK9,minus(n6,n1)) )
| ~ leq(n0,minus(n6,n1)) ),
inference(superposition,[status(thm)],[c_85,c_3883]) ).
tcf(c_3910,plain,
( sP0
| sP1
| sP2 ),
inference(global_subsumption_just,[status(thm)],[c_3898,c_182,c_190,c_3898]) ).
tcf(c_3953,plain,
plus(n1,plus(n3,n2)) = plus(n3,n3),
inference(superposition,[status(thm)],[c_960,c_959]) ).
tcf(c_3980,plain,
! [X0: $i] : gt(plus(X0,n3),plus(n2,X0)),
inference(superposition,[status(thm)],[c_959,c_124]) ).
tcf(c_3991,plain,
( ( a_select3(r_ds1_filter,minus(n3,n1),sK3) = a_select3(r_ds1_filter,sK3,minus(n3,n1)) )
| ~ sP2
| ~ leq(n0,sK3)
| ~ leq(n0,minus(n3,n1)) ),
inference(superposition,[status(thm)],[c_52,c_3842]) ).
tcf(c_3992,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,X0,sK3) = a_select3(r_ds1_filter,sK3,X0) )
| ~ sP2
| ~ leq(n0,sK3)
| ~ leq(n0,X0)
| ~ leq(X0,minus(n3,n1)) ),
inference(superposition,[status(thm)],[c_52,c_72]) ).
tcf(c_4003,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,X0,sK3) = a_select3(r_ds1_filter,sK3,X0) )
| ~ sP2
| ~ leq(X0,minus(n3,n1))
| ~ leq(n0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_3992,c_50,c_3992]) ).
tcf(c_4004,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,X0,sK3) = a_select3(r_ds1_filter,sK3,X0) )
| ~ sP2
| ~ leq(n0,X0)
| ~ leq(X0,minus(n3,n1)) ),
inference(renaming,[status(thm)],[c_4003]) ).
tcf(c_4015,plain,
( ( a_select3(r_ds1_filter,minus(n3,n1),sK3) = a_select3(r_ds1_filter,sK3,minus(n3,n1)) )
| ~ sP2
| ~ leq(n0,minus(n3,n1)) ),
inference(superposition,[status(thm)],[c_85,c_4004]) ).
tcf(c_4026,plain,
! [X0: $i] : plus(n1,plus(n3,X0)) = plus(X0,n4),
inference(superposition,[status(thm)],[c_960,c_989]) ).
tcf(c_4027,plain,
! [X0: $i] : gt(plus(X0,n4),plus(X0,n3)),
inference(superposition,[status(thm)],[c_989,c_124]) ).
tcf(c_4028,plain,
plus(n3,n3) = plus(n2,n4),
inference(superposition,[status(thm)],[c_989,c_959]) ).
tcf(c_4035,plain,
( ( a_select3(r_ds1_filter,sK3,sK4) = a_select3(r_ds1_filter,sK4,sK3) )
| ~ sP2
| ~ leq(n0,sK4) ),
inference(superposition,[status(thm)],[c_53,c_4004]) ).
tcf(c_4036,plain,
( ( a_select3(r_ds1_filter,minus(n3,n1),sK4) = a_select3(r_ds1_filter,sK4,minus(n3,n1)) )
| ~ sP2
| ~ leq(n0,sK4)
| ~ leq(n0,minus(n3,n1)) ),
inference(superposition,[status(thm)],[c_53,c_3842]) ).
tcf(c_4037,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,X0,sK4) = a_select3(r_ds1_filter,sK4,X0) )
| ~ sP2
| ~ leq(n0,sK4)
| ~ leq(n0,X0)
| ~ leq(X0,minus(n3,n1)) ),
inference(superposition,[status(thm)],[c_53,c_72]) ).
tcf(c_4055,plain,
( ( a_select3(pminus_ds1_filter,minus(n6,n1),sK5) = a_select3(pminus_ds1_filter,sK5,minus(n6,n1)) )
| ~ sP1
| ~ leq(n0,sK5)
| ~ leq(n0,minus(n6,n1)) ),
inference(superposition,[status(thm)],[c_57,c_3860]) ).
tcf(c_4056,plain,
( ( a_select3(q_ds1_filter,minus(n6,n1),sK5) = a_select3(q_ds1_filter,sK5,minus(n6,n1)) )
| ~ sP1
| ~ leq(n0,sK5)
| ~ leq(n0,minus(n6,n1)) ),
inference(superposition,[status(thm)],[c_57,c_3826]) ).
tcf(c_4057,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,X0,sK5) = a_select3(pminus_ds1_filter,sK5,X0) )
| ~ sP1
| ~ leq(n0,sK5)
| ~ leq(n0,X0)
| ~ leq(X0,minus(n6,n1)) ),
inference(superposition,[status(thm)],[c_57,c_73]) ).
tcf(c_4058,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,X0,sK5) = a_select3(q_ds1_filter,sK5,X0) )
| ~ sP1
| ~ leq(n0,sK5)
| ~ leq(n0,X0)
| ~ leq(X0,minus(n6,n1)) ),
inference(superposition,[status(thm)],[c_57,c_71]) ).
tcf(c_4083,plain,
( ( a_select3(pminus_ds1_filter,minus(n6,n1),sK6) = a_select3(pminus_ds1_filter,sK6,minus(n6,n1)) )
| ~ sP1
| ~ leq(n0,sK6)
| ~ leq(n0,minus(n6,n1)) ),
inference(superposition,[status(thm)],[c_58,c_3860]) ).
tcf(c_4084,plain,
( ( a_select3(q_ds1_filter,minus(n6,n1),sK6) = a_select3(q_ds1_filter,sK6,minus(n6,n1)) )
| ~ sP1
| ~ leq(n0,sK6)
| ~ leq(n0,minus(n6,n1)) ),
inference(superposition,[status(thm)],[c_58,c_3826]) ).
tcf(c_4085,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,X0,sK6) = a_select3(pminus_ds1_filter,sK6,X0) )
| ~ sP1
| ~ leq(n0,sK6)
| ~ leq(n0,X0)
| ~ leq(X0,minus(n6,n1)) ),
inference(superposition,[status(thm)],[c_58,c_73]) ).
tcf(c_4086,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,X0,sK6) = a_select3(q_ds1_filter,sK6,X0) )
| ~ sP1
| ~ leq(n0,sK6)
| ~ leq(n0,X0)
| ~ leq(X0,minus(n6,n1)) ),
inference(superposition,[status(thm)],[c_58,c_71]) ).
tcf(c_4143,plain,
leq(n1,n3),
inference(superposition,[status(thm)],[c_92,c_83]) ).
tcf(c_4144,plain,
leq(n1,n2),
inference(superposition,[status(thm)],[c_93,c_83]) ).
tcf(c_4145,plain,
leq(n1,n5),
inference(superposition,[status(thm)],[c_94,c_83]) ).
tcf(c_4146,plain,
leq(n1,n4),
inference(superposition,[status(thm)],[c_95,c_83]) ).
tcf(c_4147,plain,
leq(n0,n1),
inference(superposition,[status(thm)],[c_96,c_83]) ).
tcf(c_4148,plain,
leq(n3,n6),
inference(superposition,[status(thm)],[c_99,c_83]) ).
tcf(c_4149,plain,
leq(n3,n5),
inference(superposition,[status(thm)],[c_100,c_83]) ).
tcf(c_4150,plain,
leq(n3,n4),
inference(superposition,[status(thm)],[c_101,c_83]) ).
tcf(c_4151,plain,
leq(n2,n3),
inference(superposition,[status(thm)],[c_102,c_83]) ).
tcf(c_4152,plain,
leq(n0,n3),
inference(superposition,[status(thm)],[c_103,c_83]) ).
tcf(c_4153,plain,
leq(tptp_minus_1,n3),
inference(superposition,[status(thm)],[c_104,c_83]) ).
tcf(c_4154,plain,
leq(n3,n999),
inference(superposition,[status(thm)],[c_106,c_83]) ).
tcf(c_4155,plain,
leq(n2,n999),
inference(superposition,[status(thm)],[c_107,c_83]) ).
tcf(c_4156,plain,
leq(n1,n999),
inference(superposition,[status(thm)],[c_108,c_83]) ).
tcf(c_4157,plain,
leq(n0,n999),
inference(superposition,[status(thm)],[c_109,c_83]) ).
tcf(c_4158,plain,
leq(tptp_minus_1,n999),
inference(superposition,[status(thm)],[c_110,c_83]) ).
tcf(c_4159,plain,
leq(n6,n999),
inference(superposition,[status(thm)],[c_111,c_83]) ).
tcf(c_4160,plain,
leq(n5,n999),
inference(superposition,[status(thm)],[c_112,c_83]) ).
tcf(c_4161,plain,
leq(n4,n999),
inference(superposition,[status(thm)],[c_113,c_83]) ).
tcf(c_4162,plain,
leq(n2,n6),
inference(superposition,[status(thm)],[c_115,c_83]) ).
tcf(c_4163,plain,
leq(n1,n6),
inference(superposition,[status(thm)],[c_116,c_83]) ).
tcf(c_4164,plain,
leq(n0,n6),
inference(superposition,[status(thm)],[c_117,c_83]) ).
tcf(c_4165,plain,
leq(tptp_minus_1,n6),
inference(superposition,[status(thm)],[c_118,c_83]) ).
tcf(c_4166,plain,
leq(n5,n6),
inference(superposition,[status(thm)],[c_119,c_83]) ).
tcf(c_4167,plain,
leq(n4,n6),
inference(superposition,[status(thm)],[c_120,c_83]) ).
tcf(c_4168,plain,
! [X0: $i] : leq(X0,plus(n1,X0)),
inference(superposition,[status(thm)],[c_124,c_83]) ).
tcf(c_4169,plain,
leq(n2,n5),
inference(superposition,[status(thm)],[c_125,c_83]) ).
tcf(c_4170,plain,
leq(n2,n4),
inference(superposition,[status(thm)],[c_126,c_83]) ).
tcf(c_4171,plain,
leq(n0,n2),
inference(superposition,[status(thm)],[c_127,c_83]) ).
tcf(c_4172,plain,
leq(tptp_minus_1,n2),
inference(superposition,[status(thm)],[c_128,c_83]) ).
tcf(c_4173,plain,
leq(n0,n4),
inference(superposition,[status(thm)],[c_130,c_83]) ).
tcf(c_4174,plain,
leq(tptp_minus_1,n4),
inference(superposition,[status(thm)],[c_131,c_83]) ).
tcf(c_4175,plain,
leq(n4,n5),
inference(superposition,[status(thm)],[c_132,c_83]) ).
tcf(c_4176,plain,
leq(n0,n5),
inference(superposition,[status(thm)],[c_136,c_83]) ).
tcf(c_4177,plain,
leq(tptp_minus_1,n5),
inference(superposition,[status(thm)],[c_137,c_83]) ).
tcf(c_4178,plain,
leq(tptp_minus_1,n1),
inference(superposition,[status(thm)],[c_140,c_83]) ).
tcf(c_4179,plain,
leq(tptp_minus_1,n0),
inference(superposition,[status(thm)],[c_141,c_83]) ).
tcf(c_4181,plain,
~ sP2,
inference(global_subsumption_just,[status(thm)],[c_4037,c_51,c_49,c_4035]) ).
tcf(c_4183,plain,
( sP0
| sP1 ),
inference(backward_subsumption_resolution,[status(thm)],[c_3910,c_4181]) ).
tcf(c_4186,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,X0,sK5) = a_select3(pminus_ds1_filter,sK5,X0) )
| ~ sP1
| ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_4057,c_55,c_4057]) ).
tcf(c_4187,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,X0,sK5) = a_select3(pminus_ds1_filter,sK5,X0) )
| ~ sP1
| ~ leq(n0,X0)
| ~ leq(X0,minus(n6,n1)) ),
inference(renaming,[status(thm)],[c_4186]) ).
tcf(c_4198,plain,
( ( a_select3(pminus_ds1_filter,sK5,sK6) = a_select3(pminus_ds1_filter,sK6,sK5) )
| ~ sP1
| ~ leq(n0,sK6) ),
inference(superposition,[status(thm)],[c_58,c_4187]) ).
tcf(c_4200,plain,
( ( a_select3(pminus_ds1_filter,minus(n6,n1),sK5) = a_select3(pminus_ds1_filter,sK5,minus(n6,n1)) )
| ~ sP1
| ~ leq(n0,minus(n6,n1)) ),
inference(superposition,[status(thm)],[c_85,c_4187]) ).
tcf(c_4211,plain,
~ sP1,
inference(global_subsumption_just,[status(thm)],[c_4058,c_56,c_54,c_4198]) ).
tcf(c_4243,plain,
sP0,
inference(global_subsumption_just,[status(thm)],[c_4183,c_3910,c_4181,c_4211]) ).
tcf(c_4250,plain,
! [X0: $i] : gt(plus(X0,n5),plus(X0,n4)),
inference(superposition,[status(thm)],[c_991,c_124]) ).
tcf(c_4251,plain,
plus(n2,n5) = plus(n4,n3),
inference(superposition,[status(thm)],[c_991,c_959]) ).
tcf(c_4253,plain,
! [X0: $i] : gt(X0,minus(X0,n1)),
inference(superposition,[status(thm)],[c_143,c_124]) ).
tcf(c_4255,plain,
minus(n1,n1) = n0,
inference(superposition,[status(thm)],[c_86,c_144]) ).
tcf(c_4256,plain,
minus(n0,n1) = tptp_minus_1,
inference(superposition,[status(thm)],[c_142,c_144]) ).
tcf(c_4257,plain,
minus(n2,n1) = n1,
inference(superposition,[status(thm)],[c_897,c_144]) ).
tcf(c_4258,plain,
minus(n3,n1) = n2,
inference(superposition,[status(thm)],[c_926,c_144]) ).
tcf(c_4259,plain,
minus(n4,n1) = n3,
inference(superposition,[status(thm)],[c_961,c_144]) ).
tcf(c_4260,plain,
minus(n5,n1) = n4,
inference(superposition,[status(thm)],[c_988,c_144]) ).
tcf(c_4261,plain,
minus(n6,n1) = n5,
inference(superposition,[status(thm)],[c_993,c_144]) ).
tcf(c_4262,plain,
! [X0: $i] : minus(plus(X0,n3),n1) = plus(n2,X0),
inference(superposition,[status(thm)],[c_959,c_144]) ).
tcf(c_4263,plain,
! [X0: $i] : minus(plus(X0,n4),n1) = plus(X0,n3),
inference(superposition,[status(thm)],[c_989,c_144]) ).
tcf(c_4264,plain,
! [X0: $i] : minus(plus(X0,n5),n1) = plus(X0,n4),
inference(superposition,[status(thm)],[c_991,c_144]) ).
tcf(c_4265,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,X0,n2) = a_select3(r_ds1_filter,n2,X0) )
| ~ leq(n0,n2)
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(demodulation,[status(thm)],[c_3842,c_4258]) ).
tcf(c_4266,plain,
! [X0: $i,X1: $i] :
( ( a_select3(r_ds1_filter,X0,X1) = a_select3(r_ds1_filter,X1,X0) )
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,n2)
| ~ leq(X0,n2) ),
inference(demodulation,[status(thm)],[c_72,c_4258]) ).
tcf(c_4278,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,X0,n5) = a_select3(pminus_ds1_filter,n5,X0) )
| ~ leq(n0,n5)
| ~ leq(n0,X0)
| ~ leq(X0,n5) ),
inference(demodulation,[status(thm)],[c_3860,c_4261]) ).
tcf(c_4279,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,X0,n5) = a_select3(q_ds1_filter,n5,X0) )
| ~ leq(n0,n5)
| ~ leq(n0,X0)
| ~ leq(X0,n5) ),
inference(demodulation,[status(thm)],[c_3826,c_4261]) ).
tcf(c_4280,plain,
! [X0: $i,X1: $i] :
( ( a_select3(pminus_ds1_filter,X0,X1) = a_select3(pminus_ds1_filter,X1,X0) )
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,n5)
| ~ leq(X0,n5) ),
inference(demodulation,[status(thm)],[c_73,c_4261]) ).
tcf(c_4281,plain,
! [X0: $i,X1: $i] :
( ( a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0) )
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,n5)
| ~ leq(X0,n5) ),
inference(demodulation,[status(thm)],[c_71,c_4261]) ).
tcf(c_4317,plain,
plus(n1,plus(n1,n2)) = plus(n1,n3),
inference(superposition,[status(thm)],[c_151,c_959]) ).
tcf(c_4318,plain,
! [X0: $i] : minus(plus(X0,n1),n1) = X0,
inference(superposition,[status(thm)],[c_151,c_144]) ).
tcf(c_4319,plain,
! [X0: $i] : gt(plus(X0,n1),X0),
inference(superposition,[status(thm)],[c_151,c_124]) ).
tcf(c_4321,plain,
! [X0: $i] : plus(n1,plus(n4,X0)) = plus(X0,n5),
inference(superposition,[status(thm)],[c_990,c_991]) ).
tcf(c_4322,plain,
plus(n1,plus(n3,n4)) = plus(n4,n4),
inference(superposition,[status(thm)],[c_990,c_989]) ).
tcf(c_4334,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,X0,pv5) = a_select3(r_ds1_filter,pv5,X0) )
| ~ leq(pv5,n2)
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(superposition,[status(thm)],[c_69,c_4266]) ).
tcf(c_4335,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,X0,n0) = a_select3(r_ds1_filter,n0,X0) )
| ~ leq(n0,n2)
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(superposition,[status(thm)],[c_85,c_4266]) ).
tcf(c_4336,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,X0,n1) = a_select3(r_ds1_filter,n1,X0) )
| ~ leq(n1,n2)
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(superposition,[status(thm)],[c_4147,c_4266]) ).
tcf(c_4337,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,X0,n1) = a_select3(r_ds1_filter,n1,X0) )
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4336,c_4144]) ).
tcf(c_4360,plain,
( ( a_select3(r_ds1_filter,n0,pv5) = a_select3(r_ds1_filter,pv5,n0) )
| ~ leq(pv5,n2)
| ~ leq(n0,n2) ),
inference(superposition,[status(thm)],[c_85,c_4334]) ).
tcf(c_4361,plain,
( ( a_select3(r_ds1_filter,n1,pv5) = a_select3(r_ds1_filter,pv5,n1) )
| ~ leq(pv5,n2)
| ~ leq(n1,n2) ),
inference(superposition,[status(thm)],[c_4147,c_4334]) ).
tcf(c_4362,plain,
( ( a_select3(r_ds1_filter,n1,pv5) = a_select3(r_ds1_filter,pv5,n1) )
| ~ leq(pv5,n2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4361,c_4144]) ).
tcf(c_4378,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,X0,pv5) = a_select3(pminus_ds1_filter,pv5,X0) )
| ~ leq(pv5,n5)
| ~ leq(n0,X0)
| ~ leq(X0,n5) ),
inference(superposition,[status(thm)],[c_69,c_4280]) ).
tcf(c_4379,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,X0,n0) = a_select3(pminus_ds1_filter,n0,X0) )
| ~ leq(n0,n5)
| ~ leq(n0,X0)
| ~ leq(X0,n5) ),
inference(superposition,[status(thm)],[c_85,c_4280]) ).
tcf(c_4380,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,X0,n1) = a_select3(pminus_ds1_filter,n1,X0) )
| ~ leq(n1,n5)
| ~ leq(n0,X0)
| ~ leq(X0,n5) ),
inference(superposition,[status(thm)],[c_4147,c_4280]) ).
tcf(c_4381,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,X0,n1) = a_select3(pminus_ds1_filter,n1,X0) )
| ~ leq(n0,X0)
| ~ leq(X0,n5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4380,c_4145]) ).
tcf(c_4406,plain,
( ( a_select3(pminus_ds1_filter,n0,pv5) = a_select3(pminus_ds1_filter,pv5,n0) )
| ~ leq(pv5,n5)
| ~ leq(n0,n5) ),
inference(superposition,[status(thm)],[c_85,c_4378]) ).
tcf(c_4407,plain,
( ( a_select3(pminus_ds1_filter,n1,pv5) = a_select3(pminus_ds1_filter,pv5,n1) )
| ~ leq(pv5,n5)
| ~ leq(n1,n5) ),
inference(superposition,[status(thm)],[c_4147,c_4378]) ).
tcf(c_4408,plain,
( ( a_select3(pminus_ds1_filter,n1,pv5) = a_select3(pminus_ds1_filter,pv5,n1) )
| ~ leq(pv5,n5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4407,c_4145]) ).
tcf(c_4430,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,X0,pv5) = a_select3(q_ds1_filter,pv5,X0) )
| ~ leq(pv5,n5)
| ~ leq(n0,X0)
| ~ leq(X0,n5) ),
inference(superposition,[status(thm)],[c_69,c_4281]) ).
tcf(c_4431,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,X0,n0) = a_select3(q_ds1_filter,n0,X0) )
| ~ leq(n0,n5)
| ~ leq(n0,X0)
| ~ leq(X0,n5) ),
inference(superposition,[status(thm)],[c_85,c_4281]) ).
tcf(c_4432,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,X0,n1) = a_select3(q_ds1_filter,n1,X0) )
| ~ leq(n1,n5)
| ~ leq(n0,X0)
| ~ leq(X0,n5) ),
inference(superposition,[status(thm)],[c_4147,c_4281]) ).
tcf(c_4433,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,X0,n1) = a_select3(q_ds1_filter,n1,X0) )
| ~ leq(n0,X0)
| ~ leq(X0,n5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4432,c_4145]) ).
tcf(c_4460,plain,
( ( a_select3(q_ds1_filter,n0,pv5) = a_select3(q_ds1_filter,pv5,n0) )
| ~ leq(pv5,n5)
| ~ leq(n0,n5) ),
inference(superposition,[status(thm)],[c_85,c_4430]) ).
tcf(c_4461,plain,
( ( a_select3(q_ds1_filter,n1,pv5) = a_select3(q_ds1_filter,pv5,n1) )
| ~ leq(pv5,n5)
| ~ leq(n1,n5) ),
inference(superposition,[status(thm)],[c_4147,c_4430]) ).
tcf(c_4462,plain,
( ( a_select3(q_ds1_filter,n1,pv5) = a_select3(q_ds1_filter,pv5,n1) )
| ~ leq(pv5,n5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4461,c_4145]) ).
tcf(c_4472,plain,
plus(n1,plus(n4,n5)) = plus(n5,n5),
inference(superposition,[status(thm)],[c_992,c_991]) ).
tcf(c_4473,plain,
plus(n1,plus(n3,n5)) = plus(n5,n4),
inference(superposition,[status(thm)],[c_992,c_989]) ).
tcf(c_4479,plain,
! [X0: $i,X1: $i] :
( gt(X1,X0)
| ~ leq(plus(X0,n1),X1) ),
inference(superposition,[status(thm)],[c_151,c_77]) ).
tcf(c_4480,plain,
! [X0: $i] :
( gt(X0,n0)
| ~ leq(n1,X0) ),
inference(superposition,[status(thm)],[c_86,c_77]) ).
tcf(c_4481,plain,
! [X0: $i] :
( gt(X0,tptp_minus_1)
| ~ leq(n0,X0) ),
inference(superposition,[status(thm)],[c_142,c_77]) ).
tcf(c_4482,plain,
! [X0: $i,X1: $i] :
( gt(X1,minus(X0,n1))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_143,c_77]) ).
tcf(c_4483,plain,
! [X0: $i] :
( gt(X0,n1)
| ~ leq(n2,X0) ),
inference(superposition,[status(thm)],[c_897,c_77]) ).
tcf(c_4484,plain,
! [X0: $i] :
( gt(X0,n2)
| ~ leq(n3,X0) ),
inference(superposition,[status(thm)],[c_926,c_77]) ).
tcf(c_4485,plain,
! [X0: $i] :
( gt(X0,n3)
| ~ leq(n4,X0) ),
inference(superposition,[status(thm)],[c_961,c_77]) ).
tcf(c_4486,plain,
! [X0: $i] :
( gt(X0,n4)
| ~ leq(n5,X0) ),
inference(superposition,[status(thm)],[c_988,c_77]) ).
tcf(c_4487,plain,
! [X0: $i] :
( gt(X0,n5)
| ~ leq(n6,X0) ),
inference(superposition,[status(thm)],[c_993,c_77]) ).
tcf(c_4488,plain,
! [X0: $i,X1: $i] :
( gt(X1,plus(n2,X0))
| ~ leq(plus(X0,n3),X1) ),
inference(superposition,[status(thm)],[c_959,c_77]) ).
tcf(c_4489,plain,
! [X0: $i,X1: $i] :
( gt(X1,plus(X0,n3))
| ~ leq(plus(X0,n4),X1) ),
inference(superposition,[status(thm)],[c_989,c_77]) ).
tcf(c_4490,plain,
! [X0: $i,X1: $i] :
( gt(X1,plus(X0,n4))
| ~ leq(plus(X0,n5),X1) ),
inference(superposition,[status(thm)],[c_991,c_77]) ).
tcf(c_4553,plain,
( leq(n0,minus(n6,n1))
| ~ gt(n6,n0) ),
inference(instantiation,[status(thm)],[c_145]) ).
tcf(c_4572,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| ~ gt(plus(X0,n1),X1) ),
inference(superposition,[status(thm)],[c_151,c_80]) ).
tcf(c_4573,plain,
! [X0: $i] :
( leq(X0,n0)
| ~ gt(n1,X0) ),
inference(superposition,[status(thm)],[c_86,c_80]) ).
tcf(c_4574,plain,
! [X0: $i] :
( leq(X0,tptp_minus_1)
| ~ gt(n0,X0) ),
inference(superposition,[status(thm)],[c_142,c_80]) ).
tcf(c_4576,plain,
! [X0: $i] :
( leq(X0,n1)
| ~ gt(n2,X0) ),
inference(superposition,[status(thm)],[c_897,c_80]) ).
tcf(c_4577,plain,
! [X0: $i] :
( leq(X0,n2)
| ~ gt(n3,X0) ),
inference(superposition,[status(thm)],[c_926,c_80]) ).
tcf(c_4578,plain,
! [X0: $i] :
( leq(X0,n3)
| ~ gt(n4,X0) ),
inference(superposition,[status(thm)],[c_961,c_80]) ).
tcf(c_4579,plain,
! [X0: $i] :
( leq(X0,n4)
| ~ gt(n5,X0) ),
inference(superposition,[status(thm)],[c_988,c_80]) ).
tcf(c_4580,plain,
! [X0: $i] :
( leq(X0,n5)
| ~ gt(n6,X0) ),
inference(superposition,[status(thm)],[c_993,c_80]) ).
tcf(c_4581,plain,
! [X0: $i,X1: $i] :
( leq(X1,plus(n2,X0))
| ~ gt(plus(X0,n3),X1) ),
inference(superposition,[status(thm)],[c_959,c_80]) ).
tcf(c_4582,plain,
! [X0: $i,X1: $i] :
( leq(X1,plus(X0,n3))
| ~ gt(plus(X0,n4),X1) ),
inference(superposition,[status(thm)],[c_989,c_80]) ).
tcf(c_4583,plain,
! [X0: $i,X1: $i] :
( leq(X1,plus(X0,n4))
| ~ gt(plus(X0,n5),X1) ),
inference(superposition,[status(thm)],[c_991,c_80]) ).
tcf(c_4614,plain,
! [X0: $i,X1: $i] :
( gt(plus(X1,n1),X0)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_151,c_81]) ).
tcf(c_4615,plain,
! [X0: $i] :
( gt(n1,X0)
| ~ leq(X0,n0) ),
inference(superposition,[status(thm)],[c_86,c_81]) ).
tcf(c_4616,plain,
! [X0: $i] :
( gt(n0,X0)
| ~ leq(X0,tptp_minus_1) ),
inference(superposition,[status(thm)],[c_142,c_81]) ).
tcf(c_4618,plain,
! [X0: $i] :
( gt(n2,X0)
| ~ leq(X0,n1) ),
inference(superposition,[status(thm)],[c_897,c_81]) ).
tcf(c_4619,plain,
! [X0: $i] :
( gt(n3,X0)
| ~ leq(X0,n2) ),
inference(superposition,[status(thm)],[c_926,c_81]) ).
tcf(c_4620,plain,
! [X0: $i] :
( gt(n4,X0)
| ~ leq(X0,n3) ),
inference(superposition,[status(thm)],[c_961,c_81]) ).
tcf(c_4621,plain,
! [X0: $i] :
( gt(n5,X0)
| ~ leq(X0,n4) ),
inference(superposition,[status(thm)],[c_988,c_81]) ).
tcf(c_4622,plain,
! [X0: $i] :
( gt(n6,X0)
| ~ leq(X0,n5) ),
inference(superposition,[status(thm)],[c_993,c_81]) ).
tcf(c_4623,plain,
! [X0: $i,X1: $i] :
( gt(plus(X1,n3),X0)
| ~ leq(X0,plus(n2,X1)) ),
inference(superposition,[status(thm)],[c_959,c_81]) ).
tcf(c_4624,plain,
! [X0: $i,X1: $i] :
( gt(plus(X1,n4),X0)
| ~ leq(X0,plus(X1,n3)) ),
inference(superposition,[status(thm)],[c_989,c_81]) ).
tcf(c_4625,plain,
! [X0: $i,X1: $i] :
( gt(plus(X1,n5),X0)
| ~ leq(X0,plus(X1,n4)) ),
inference(superposition,[status(thm)],[c_991,c_81]) ).
tcf(c_4628,plain,
! [X0: $i] : ~ leq(plus(n1,X0),X0),
inference(superposition,[status(thm)],[c_81,c_121]) ).
tcf(c_4657,plain,
( ( a_select3(q_ds1_filter,n3,pv5) = a_select3(q_ds1_filter,pv5,n3) )
| ~ leq(pv5,n5)
| ~ leq(n3,n5) ),
inference(superposition,[status(thm)],[c_4152,c_4430]) ).
tcf(c_4658,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,X0,n3) = a_select3(q_ds1_filter,n3,X0) )
| ~ leq(n3,n5)
| ~ leq(n0,X0)
| ~ leq(X0,n5) ),
inference(superposition,[status(thm)],[c_4152,c_4281]) ).
tcf(c_4659,plain,
( ( a_select3(pminus_ds1_filter,n3,pv5) = a_select3(pminus_ds1_filter,pv5,n3) )
| ~ leq(pv5,n5)
| ~ leq(n3,n5) ),
inference(superposition,[status(thm)],[c_4152,c_4378]) ).
tcf(c_4660,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,X0,n3) = a_select3(pminus_ds1_filter,n3,X0) )
| ~ leq(n3,n5)
| ~ leq(n0,X0)
| ~ leq(X0,n5) ),
inference(superposition,[status(thm)],[c_4152,c_4280]) ).
tcf(c_4661,plain,
( ( a_select3(r_ds1_filter,n3,pv5) = a_select3(r_ds1_filter,pv5,n3) )
| ~ leq(pv5,n2)
| ~ leq(n3,n2) ),
inference(superposition,[status(thm)],[c_4152,c_4334]) ).
tcf(c_4662,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,X0,n3) = a_select3(r_ds1_filter,n3,X0) )
| ~ leq(n3,n2)
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(superposition,[status(thm)],[c_4152,c_4266]) ).
tcf(c_4666,plain,
( ( a_select3(pminus_ds1_filter,n3,pv5) = a_select3(pminus_ds1_filter,pv5,n3) )
| ~ leq(pv5,n5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4659,c_4149]) ).
tcf(c_4669,plain,
( ( a_select3(q_ds1_filter,n3,pv5) = a_select3(q_ds1_filter,pv5,n3) )
| ~ leq(pv5,n5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4657,c_4149]) ).
tcf(c_4676,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,X0,n3) = a_select3(pminus_ds1_filter,n3,X0) )
| ~ leq(n0,X0)
| ~ leq(X0,n5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4660,c_4149]) ).
tcf(c_4680,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,X0,n3) = a_select3(q_ds1_filter,n3,X0) )
| ~ leq(n0,X0)
| ~ leq(X0,n5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4658,c_4149]) ).
tcf(c_4729,plain,
( ( a_select3(r_ds1_filter,n0,pv5) = a_select3(r_ds1_filter,pv5,n0) )
| ~ leq(pv5,n2) ),
inference(global_subsumption_just,[status(thm)],[c_4360,c_4171,c_4360]) ).
tcf(c_4735,plain,
( ( a_select3(pminus_ds1_filter,n0,pv5) = a_select3(pminus_ds1_filter,pv5,n0) )
| ~ leq(pv5,n5) ),
inference(global_subsumption_just,[status(thm)],[c_4406,c_4176,c_4406]) ).
tcf(c_4741,plain,
( ( a_select3(q_ds1_filter,n0,pv5) = a_select3(q_ds1_filter,pv5,n0) )
| ~ leq(pv5,n5) ),
inference(global_subsumption_just,[status(thm)],[c_4460,c_4176,c_4460]) ).
tcf(c_4749,plain,
plus(n1,plus(n1,n3)) = plus(n1,n4),
inference(superposition,[status(thm)],[c_151,c_4026]) ).
tcf(c_4750,plain,
! [X0: $i,X1: $i] :
( leq(X1,plus(n3,X0))
| ~ gt(plus(X0,n4),X1) ),
inference(superposition,[status(thm)],[c_4026,c_80]) ).
tcf(c_4751,plain,
! [X0: $i,X1: $i] :
( gt(X1,plus(n3,X0))
| ~ leq(plus(X0,n4),X1) ),
inference(superposition,[status(thm)],[c_4026,c_77]) ).
tcf(c_4752,plain,
! [X0: $i] : minus(plus(X0,n4),n1) = plus(n3,X0),
inference(superposition,[status(thm)],[c_4026,c_144]) ).
tcf(c_4753,plain,
! [X0: $i] : gt(plus(X0,n4),plus(n3,X0)),
inference(superposition,[status(thm)],[c_4026,c_124]) ).
tcf(c_4754,plain,
! [X0: $i,X1: $i] :
( gt(plus(X1,n4),X0)
| ~ leq(X0,plus(n3,X1)) ),
inference(superposition,[status(thm)],[c_4026,c_81]) ).
tcf(c_4755,plain,
plus(n3,n5) = plus(n4,n4),
inference(superposition,[status(thm)],[c_4026,c_991]) ).
tcf(c_4787,plain,
! [X0: $i,X1: $i] :
( leq(X0,plus(X1,n1))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_151,c_82]) ).
tcf(c_4788,plain,
! [X0: $i] :
( leq(X0,n1)
| ~ leq(X0,n0) ),
inference(superposition,[status(thm)],[c_86,c_82]) ).
tcf(c_4789,plain,
! [X0: $i] :
( leq(X0,n0)
| ~ leq(X0,tptp_minus_1) ),
inference(superposition,[status(thm)],[c_142,c_82]) ).
tcf(c_4790,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ~ leq(X0,minus(X1,n1)) ),
inference(superposition,[status(thm)],[c_143,c_82]) ).
tcf(c_4791,plain,
! [X0: $i] :
( leq(X0,n2)
| ~ leq(X0,n1) ),
inference(superposition,[status(thm)],[c_897,c_82]) ).
tcf(c_4792,plain,
! [X0: $i] :
( leq(X0,n3)
| ~ leq(X0,n2) ),
inference(superposition,[status(thm)],[c_926,c_82]) ).
tcf(c_4793,plain,
! [X0: $i] :
( leq(X0,n4)
| ~ leq(X0,n3) ),
inference(superposition,[status(thm)],[c_961,c_82]) ).
tcf(c_4794,plain,
! [X0: $i] :
( leq(X0,n5)
| ~ leq(X0,n4) ),
inference(superposition,[status(thm)],[c_988,c_82]) ).
tcf(c_4795,plain,
! [X0: $i] :
( leq(X0,n6)
| ~ leq(X0,n5) ),
inference(superposition,[status(thm)],[c_993,c_82]) ).
tcf(c_4796,plain,
! [X0: $i,X1: $i] :
( leq(X0,plus(X1,n3))
| ~ leq(X0,plus(n2,X1)) ),
inference(superposition,[status(thm)],[c_959,c_82]) ).
tcf(c_4797,plain,
! [X0: $i,X1: $i] :
( leq(X0,plus(X1,n4))
| ~ leq(X0,plus(X1,n3)) ),
inference(superposition,[status(thm)],[c_989,c_82]) ).
tcf(c_4798,plain,
! [X0: $i,X1: $i] :
( leq(X0,plus(X1,n5))
| ~ leq(X0,plus(X1,n4)) ),
inference(superposition,[status(thm)],[c_991,c_82]) ).
tcf(c_4799,plain,
! [X0: $i,X1: $i] :
( leq(X0,plus(X1,n4))
| ~ leq(X0,plus(n3,X1)) ),
inference(superposition,[status(thm)],[c_4026,c_82]) ).
tcf(c_4802,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,plus(n1,X0),pv5) = a_select3(q_ds1_filter,pv5,plus(n1,X0)) )
| ~ leq(pv5,n5)
| ~ leq(n0,X0)
| ~ leq(plus(n1,X0),n5) ),
inference(superposition,[status(thm)],[c_82,c_4430]) ).
tcf(c_4803,plain,
! [X0: $i,X1: $i] :
( ( a_select3(q_ds1_filter,plus(n1,X0),X1) = a_select3(q_ds1_filter,X1,plus(n1,X0)) )
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,n5)
| ~ leq(plus(n1,X0),n5) ),
inference(superposition,[status(thm)],[c_82,c_4281]) ).
tcf(c_4804,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,plus(n1,X0),pv5) = a_select3(pminus_ds1_filter,pv5,plus(n1,X0)) )
| ~ leq(pv5,n5)
| ~ leq(n0,X0)
| ~ leq(plus(n1,X0),n5) ),
inference(superposition,[status(thm)],[c_82,c_4378]) ).
tcf(c_4805,plain,
! [X0: $i,X1: $i] :
( ( a_select3(pminus_ds1_filter,plus(n1,X0),X1) = a_select3(pminus_ds1_filter,X1,plus(n1,X0)) )
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,n5)
| ~ leq(plus(n1,X0),n5) ),
inference(superposition,[status(thm)],[c_82,c_4280]) ).
tcf(c_4806,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,plus(n1,X0),pv5) = a_select3(r_ds1_filter,pv5,plus(n1,X0)) )
| ~ leq(pv5,n2)
| ~ leq(n0,X0)
| ~ leq(plus(n1,X0),n2) ),
inference(superposition,[status(thm)],[c_82,c_4334]) ).
tcf(c_4807,plain,
! [X0: $i,X1: $i] :
( ( a_select3(r_ds1_filter,plus(n1,X0),X1) = a_select3(r_ds1_filter,X1,plus(n1,X0)) )
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,n2)
| ~ leq(plus(n1,X0),n2) ),
inference(superposition,[status(thm)],[c_82,c_4266]) ).
tcf(c_4808,plain,
! [X0: $i,X1: $i] :
( gt(plus(n1,X1),X0)
| ~ leq(plus(n1,X0),X1) ),
inference(superposition,[status(thm)],[c_82,c_77]) ).
tcf(c_4900,plain,
! [X0: $i,X1: $i] :
( leq(n0,X1)
| ~ leq(minus(plus(n1,X0),X1),X0) ),
inference(superposition,[status(thm)],[c_82,c_105]) ).
tcf(c_4911,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,minus(X0,n1),pv5) = a_select3(q_ds1_filter,pv5,minus(X0,n1)) )
| ~ leq(pv5,n5)
| ~ gt(X0,n0)
| ~ leq(minus(X0,n1),n5) ),
inference(superposition,[status(thm)],[c_145,c_4430]) ).
tcf(c_4912,plain,
! [X0: $i,X1: $i] :
( ( a_select3(q_ds1_filter,minus(X0,n1),X1) = a_select3(q_ds1_filter,X1,minus(X0,n1)) )
| ~ gt(X0,n0)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| ~ leq(minus(X0,n1),n5) ),
inference(superposition,[status(thm)],[c_145,c_4281]) ).
tcf(c_4913,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,minus(X0,n1),pv5) = a_select3(pminus_ds1_filter,pv5,minus(X0,n1)) )
| ~ leq(pv5,n5)
| ~ gt(X0,n0)
| ~ leq(minus(X0,n1),n5) ),
inference(superposition,[status(thm)],[c_145,c_4378]) ).
tcf(c_4914,plain,
! [X0: $i,X1: $i] :
( ( a_select3(pminus_ds1_filter,minus(X0,n1),X1) = a_select3(pminus_ds1_filter,X1,minus(X0,n1)) )
| ~ gt(X0,n0)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| ~ leq(minus(X0,n1),n5) ),
inference(superposition,[status(thm)],[c_145,c_4280]) ).
tcf(c_4915,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,minus(X0,n1),pv5) = a_select3(r_ds1_filter,pv5,minus(X0,n1)) )
| ~ leq(pv5,n2)
| ~ gt(X0,n0)
| ~ leq(minus(X0,n1),n2) ),
inference(superposition,[status(thm)],[c_145,c_4334]) ).
tcf(c_4916,plain,
! [X0: $i,X1: $i] :
( ( a_select3(r_ds1_filter,minus(X0,n1),X1) = a_select3(r_ds1_filter,X1,minus(X0,n1)) )
| ~ gt(X0,n0)
| ~ leq(n0,X1)
| ~ leq(X1,n2)
| ~ leq(minus(X0,n1),n2) ),
inference(superposition,[status(thm)],[c_145,c_4266]) ).
tcf(c_4917,plain,
! [X0: $i,X1: $i] :
( gt(minus(X0,n1),X1)
| ~ gt(X0,plus(n1,X1)) ),
inference(superposition,[status(thm)],[c_145,c_77]) ).
tcf(c_4918,plain,
! [X0: $i,X1: $i] :
( leq(n0,X1)
| ~ gt(X0,minus(minus(X0,n1),X1)) ),
inference(superposition,[status(thm)],[c_145,c_105]) ).
tcf(c_5040,plain,
gt(n999,pv5),
inference(superposition,[status(thm)],[c_70,c_146]) ).
tcf(c_5044,plain,
leq(pv5,n999),
inference(superposition,[status(thm)],[c_5040,c_83]) ).
tcf(c_5059,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,X0,n2) = a_select3(r_ds1_filter,n2,X0) )
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_4265,c_4171,c_4265]) ).
tcf(c_5060,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,X0,n2) = a_select3(r_ds1_filter,n2,X0) )
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(renaming,[status(thm)],[c_5059]) ).
tcf(c_5068,plain,
( ( a_select3(r_ds1_filter,pv5,n2) = a_select3(r_ds1_filter,n2,pv5) )
| ~ leq(pv5,n2) ),
inference(superposition,[status(thm)],[c_69,c_5060]) ).
tcf(c_5069,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,plus(n1,X0),n2) = a_select3(r_ds1_filter,n2,plus(n1,X0)) )
| ~ leq(n0,X0)
| ~ leq(plus(n1,X0),n2) ),
inference(superposition,[status(thm)],[c_82,c_5060]) ).
tcf(c_5070,plain,
( ( a_select3(r_ds1_filter,n0,n2) = a_select3(r_ds1_filter,n2,n0) )
| ~ leq(n0,n2) ),
inference(superposition,[status(thm)],[c_85,c_5060]) ).
tcf(c_5071,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,minus(X0,n1),n2) = a_select3(r_ds1_filter,n2,minus(X0,n1)) )
| ~ gt(X0,n0)
| ~ leq(minus(X0,n1),n2) ),
inference(superposition,[status(thm)],[c_145,c_5060]) ).
tcf(c_5072,plain,
( ( a_select3(r_ds1_filter,n1,n2) = a_select3(r_ds1_filter,n2,n1) )
| ~ leq(n1,n2) ),
inference(superposition,[status(thm)],[c_4147,c_5060]) ).
tcf(c_5073,plain,
( ( a_select3(r_ds1_filter,n3,n2) = a_select3(r_ds1_filter,n2,n3) )
| ~ leq(n3,n2) ),
inference(superposition,[status(thm)],[c_4152,c_5060]) ).
tcf(c_5076,plain,
a_select3(r_ds1_filter,n1,n2) = a_select3(r_ds1_filter,n2,n1),
inference(forward_subsumption_resolution,[status(thm)],[c_5072,c_4144]) ).
tcf(c_5094,plain,
plus(n1,plus(n3,n3)) = plus(n4,n3),
inference(superposition,[status(thm)],[c_4028,c_959]) ).
tcf(c_5095,plain,
plus(n1,plus(n3,n3)) = plus(n2,n5),
inference(light_normalisation,[status(thm)],[c_5094,c_4251]) ).
tcf(c_5102,plain,
! [X0: $i,X1: $i] :
( gt(X0,X1)
| leq(X0,X1)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_76,c_83]) ).
tcf(c_5105,plain,
! [X0: $i,X1: $i] :
( gt(X1,X0)
| leq(X1,X0)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_76,c_83]) ).
tcf(c_5106,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| gt(X1,plus(n1,X0))
| ( plus(n1,X0) = X1 ) ),
inference(superposition,[status(thm)],[c_76,c_80]) ).
tcf(c_5121,plain,
! [X0: $i] : plus(n1,plus(X0,n1)) = plus(n2,X0),
inference(superposition,[status(thm)],[c_151,c_149]) ).
tcf(c_5122,plain,
plus(n1,n1) = plus(n2,n0),
inference(superposition,[status(thm)],[c_86,c_149]) ).
tcf(c_5124,plain,
plus(n1,n0) = plus(n2,tptp_minus_1),
inference(superposition,[status(thm)],[c_142,c_149]) ).
tcf(c_5125,plain,
! [X0: $i] : plus(n2,minus(X0,n1)) = plus(n1,X0),
inference(superposition,[status(thm)],[c_143,c_149]) ).
tcf(c_5126,plain,
plus(n1,n2) = plus(n2,n1),
inference(superposition,[status(thm)],[c_897,c_149]) ).
tcf(c_5127,plain,
plus(n1,n3) = plus(n2,n2),
inference(superposition,[status(thm)],[c_926,c_149]) ).
tcf(c_5130,plain,
plus(n1,n6) = plus(n2,n5),
inference(superposition,[status(thm)],[c_993,c_149]) ).
tcf(c_5131,plain,
! [X0: $i] : plus(n1,plus(X0,n3)) = plus(n2,plus(n2,X0)),
inference(superposition,[status(thm)],[c_959,c_149]) ).
tcf(c_5132,plain,
! [X0: $i] : plus(n1,plus(X0,n4)) = plus(n2,plus(X0,n3)),
inference(superposition,[status(thm)],[c_989,c_149]) ).
tcf(c_5133,plain,
! [X0: $i] : plus(n1,plus(X0,n5)) = plus(n2,plus(X0,n4)),
inference(superposition,[status(thm)],[c_991,c_149]) ).
tcf(c_5134,plain,
! [X0: $i] : plus(n1,plus(X0,n4)) = plus(n2,plus(n3,X0)),
inference(superposition,[status(thm)],[c_4026,c_149]) ).
tcf(c_5135,plain,
! [X0: $i] : plus(n1,plus(n2,X0)) = plus(n2,plus(n1,X0)),
inference(superposition,[status(thm)],[c_149,c_149]) ).
tcf(c_5136,plain,
! [X0: $i,X1: $i] :
( leq(X1,plus(n1,X0))
| ~ gt(plus(n2,X0),X1) ),
inference(superposition,[status(thm)],[c_149,c_80]) ).
tcf(c_5137,plain,
! [X0: $i,X1: $i] :
( gt(X1,plus(n1,X0))
| ~ leq(plus(n2,X0),X1) ),
inference(superposition,[status(thm)],[c_149,c_77]) ).
tcf(c_5138,plain,
! [X0: $i] : minus(plus(n2,X0),n1) = plus(n1,X0),
inference(superposition,[status(thm)],[c_149,c_144]) ).
tcf(c_5139,plain,
! [X0: $i] : gt(plus(n2,X0),plus(n1,X0)),
inference(superposition,[status(thm)],[c_149,c_124]) ).
tcf(c_5140,plain,
! [X0: $i,X1: $i] :
( leq(X0,plus(n2,X1))
| ~ leq(X0,plus(n1,X1)) ),
inference(superposition,[status(thm)],[c_149,c_82]) ).
tcf(c_5141,plain,
! [X0: $i,X1: $i] :
( gt(plus(n2,X1),X0)
| ~ leq(X0,plus(n1,X1)) ),
inference(superposition,[status(thm)],[c_149,c_81]) ).
tcf(c_5142,plain,
plus(n1,n4) = plus(n2,n3),
inference(superposition,[status(thm)],[c_149,c_989]) ).
tcf(c_5143,plain,
plus(n1,n5) = plus(n2,n4),
inference(superposition,[status(thm)],[c_149,c_991]) ).
tcf(c_5144,plain,
plus(n2,n4) = n6,
inference(light_normalisation,[status(thm)],[c_5143,c_993,c_4028]) ).
tcf(c_5145,plain,
plus(n2,n3) = n5,
inference(light_normalisation,[status(thm)],[c_5142,c_988]) ).
tcf(c_5146,plain,
plus(n2,n2) = n4,
inference(light_normalisation,[status(thm)],[c_5127,c_961]) ).
tcf(c_5147,plain,
plus(n2,n1) = n3,
inference(light_normalisation,[status(thm)],[c_5126,c_926]) ).
tcf(c_5148,plain,
plus(n2,tptp_minus_1) = n1,
inference(light_normalisation,[status(thm)],[c_5124,c_86]) ).
tcf(c_5149,plain,
plus(n2,n0) = n2,
inference(light_normalisation,[status(thm)],[c_5122,c_897]) ).
tcf(c_5158,plain,
! [X0: $i] : plus(n2,plus(n1,X0)) = plus(X0,n3),
inference(light_normalisation,[status(thm)],[c_5135,c_959]) ).
tcf(c_5159,plain,
! [X0: $i] : plus(n2,plus(n3,X0)) = plus(X0,n5),
inference(light_normalisation,[status(thm)],[c_5134,c_991]) ).
tcf(c_5160,plain,
! [X0: $i] : plus(n2,plus(X0,n3)) = plus(X0,n5),
inference(light_normalisation,[status(thm)],[c_5132,c_991]) ).
tcf(c_5161,plain,
! [X0: $i] : plus(n2,plus(n2,X0)) = plus(X0,n4),
inference(light_normalisation,[status(thm)],[c_5131,c_989]) ).
tcf(c_5162,plain,
plus(n3,n3) = n6,
inference(demodulation,[status(thm)],[c_4028,c_5144]) ).
tcf(c_5177,plain,
! [X0: $i] : plus(n1,plus(X0,n1)) = plus(X0,n2),
inference(superposition,[status(thm)],[c_151,c_150]) ).
tcf(c_5178,plain,
plus(n0,n2) = plus(n1,n1),
inference(superposition,[status(thm)],[c_86,c_150]) ).
tcf(c_5180,plain,
! [X0: $i] : plus(plus(n1,X0),n2) = plus(n1,plus(n2,X0)),
inference(superposition,[status(thm)],[c_149,c_150]) ).
tcf(c_5181,plain,
plus(n1,n0) = plus(tptp_minus_1,n2),
inference(superposition,[status(thm)],[c_142,c_150]) ).
tcf(c_5182,plain,
! [X0: $i] : plus(minus(X0,n1),n2) = plus(n1,X0),
inference(superposition,[status(thm)],[c_143,c_150]) ).
tcf(c_5186,plain,
plus(n1,n6) = plus(n5,n2),
inference(superposition,[status(thm)],[c_993,c_150]) ).
tcf(c_5187,plain,
! [X0: $i] : plus(plus(n2,X0),n2) = plus(n1,plus(X0,n3)),
inference(superposition,[status(thm)],[c_959,c_150]) ).
tcf(c_5188,plain,
! [X0: $i] : plus(plus(X0,n3),n2) = plus(n1,plus(X0,n4)),
inference(superposition,[status(thm)],[c_989,c_150]) ).
tcf(c_5189,plain,
! [X0: $i] : plus(plus(X0,n4),n2) = plus(n1,plus(X0,n5)),
inference(superposition,[status(thm)],[c_991,c_150]) ).
tcf(c_5190,plain,
! [X0: $i] : plus(plus(n3,X0),n2) = plus(n1,plus(X0,n4)),
inference(superposition,[status(thm)],[c_4026,c_150]) ).
tcf(c_5191,plain,
! [X0: $i] : plus(plus(n1,X0),n2) = plus(n1,plus(X0,n2)),
inference(superposition,[status(thm)],[c_150,c_150]) ).
tcf(c_5192,plain,
! [X0: $i] : plus(n1,plus(X0,n2)) = plus(n2,plus(n1,X0)),
inference(superposition,[status(thm)],[c_150,c_149]) ).
tcf(c_5193,plain,
! [X0: $i,X1: $i] :
( leq(X1,plus(n1,X0))
| ~ gt(plus(X0,n2),X1) ),
inference(superposition,[status(thm)],[c_150,c_80]) ).
tcf(c_5194,plain,
! [X0: $i,X1: $i] :
( gt(X1,plus(n1,X0))
| ~ leq(plus(X0,n2),X1) ),
inference(superposition,[status(thm)],[c_150,c_77]) ).
tcf(c_5195,plain,
! [X0: $i] : minus(plus(X0,n2),n1) = plus(n1,X0),
inference(superposition,[status(thm)],[c_150,c_144]) ).
tcf(c_5196,plain,
! [X0: $i] : gt(plus(X0,n2),plus(n1,X0)),
inference(superposition,[status(thm)],[c_150,c_124]) ).
tcf(c_5197,plain,
! [X0: $i,X1: $i] :
( leq(X0,plus(X1,n2))
| ~ leq(X0,plus(n1,X1)) ),
inference(superposition,[status(thm)],[c_150,c_82]) ).
tcf(c_5198,plain,
! [X0: $i,X1: $i] :
( gt(plus(X1,n2),X0)
| ~ leq(X0,plus(n1,X1)) ),
inference(superposition,[status(thm)],[c_150,c_81]) ).
tcf(c_5199,plain,
! [X0: $i] : plus(X0,n2) = plus(n2,X0),
inference(superposition,[status(thm)],[c_150,c_149]) ).
tcf(c_5200,plain,
plus(n3,n2) = plus(n1,n4),
inference(superposition,[status(thm)],[c_150,c_989]) ).
tcf(c_5201,plain,
plus(n1,n5) = plus(n4,n2),
inference(superposition,[status(thm)],[c_150,c_991]) ).
tcf(c_5202,plain,
plus(n4,n2) = n6,
inference(light_normalisation,[status(thm)],[c_5201,c_993]) ).
tcf(c_5203,plain,
plus(n3,n2) = n5,
inference(light_normalisation,[status(thm)],[c_5200,c_988]) ).
tcf(c_5204,plain,
plus(tptp_minus_1,n2) = n1,
inference(light_normalisation,[status(thm)],[c_5181,c_86]) ).
tcf(c_5205,plain,
plus(n0,n2) = n2,
inference(light_normalisation,[status(thm)],[c_5178,c_897]) ).
tcf(c_5214,plain,
! [X0: $i] : plus(n1,plus(X0,n2)) = plus(X0,n3),
inference(light_normalisation,[status(thm)],[c_5192,c_5158]) ).
tcf(c_5215,plain,
! [X0: $i] : plus(plus(n3,X0),n2) = plus(X0,n5),
inference(light_normalisation,[status(thm)],[c_5190,c_991]) ).
tcf(c_5216,plain,
! [X0: $i] : plus(plus(X0,n3),n2) = plus(X0,n5),
inference(light_normalisation,[status(thm)],[c_5188,c_991]) ).
tcf(c_5217,plain,
! [X0: $i] : plus(plus(n2,X0),n2) = plus(X0,n4),
inference(light_normalisation,[status(thm)],[c_5187,c_989]) ).
tcf(c_5218,plain,
! [X0: $i] : plus(plus(n1,X0),n2) = plus(X0,n3),
inference(light_normalisation,[status(thm)],[c_5180,c_959]) ).
tcf(c_5290,plain,
( gt(pv5,n0)
| ( n0 = pv5 ) ),
inference(superposition,[status(thm)],[c_69,c_75]) ).
tcf(c_5291,plain,
( gt(minus(n999,n1),pv5)
| ( minus(n999,n1) = pv5 ) ),
inference(superposition,[status(thm)],[c_70,c_75]) ).
tcf(c_5292,plain,
! [X0: $i,X1: $i] :
( gt(plus(n1,X1),X0)
| ( plus(n1,X1) = X0 )
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_82,c_75]) ).
tcf(c_5294,plain,
! [X0: $i,X1: $i] :
( gt(minus(X0,n1),X1)
| ( minus(X0,n1) = X1 )
| ~ gt(X0,X1) ),
inference(superposition,[status(thm)],[c_145,c_75]) ).
tcf(c_5320,plain,
( ( a_select3(r_ds1_filter,n999,n2) = a_select3(r_ds1_filter,n2,n999) )
| ~ leq(n999,n2) ),
inference(superposition,[status(thm)],[c_4157,c_5060]) ).
tcf(c_5323,plain,
( ( a_select3(q_ds1_filter,pv5,n999) = a_select3(q_ds1_filter,n999,pv5) )
| ~ leq(n999,n5)
| ~ leq(pv5,n5) ),
inference(superposition,[status(thm)],[c_4157,c_4430]) ).
tcf(c_5324,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,X0,n999) = a_select3(q_ds1_filter,n999,X0) )
| ~ leq(n999,n5)
| ~ leq(n0,X0)
| ~ leq(X0,n5) ),
inference(superposition,[status(thm)],[c_4157,c_4281]) ).
tcf(c_5325,plain,
( ( a_select3(pminus_ds1_filter,pv5,n999) = a_select3(pminus_ds1_filter,n999,pv5) )
| ~ leq(n999,n5)
| ~ leq(pv5,n5) ),
inference(superposition,[status(thm)],[c_4157,c_4378]) ).
tcf(c_5326,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,X0,n999) = a_select3(pminus_ds1_filter,n999,X0) )
| ~ leq(n999,n5)
| ~ leq(n0,X0)
| ~ leq(X0,n5) ),
inference(superposition,[status(thm)],[c_4157,c_4280]) ).
tcf(c_5327,plain,
( ( a_select3(r_ds1_filter,pv5,n999) = a_select3(r_ds1_filter,n999,pv5) )
| ~ leq(n999,n2)
| ~ leq(pv5,n2) ),
inference(superposition,[status(thm)],[c_4157,c_4334]) ).
tcf(c_5328,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,X0,n999) = a_select3(r_ds1_filter,n999,X0) )
| ~ leq(n999,n2)
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(superposition,[status(thm)],[c_4157,c_4266]) ).
tcf(c_5391,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,X0,n5) = a_select3(pminus_ds1_filter,n5,X0) )
| ~ leq(X0,n5)
| ~ leq(n0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_4278,c_4176,c_4278]) ).
tcf(c_5392,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,X0,n5) = a_select3(pminus_ds1_filter,n5,X0) )
| ~ leq(n0,X0)
| ~ leq(X0,n5) ),
inference(renaming,[status(thm)],[c_5391]) ).
tcf(c_5400,plain,
( ( a_select3(pminus_ds1_filter,pv5,n5) = a_select3(pminus_ds1_filter,n5,pv5) )
| ~ leq(pv5,n5) ),
inference(superposition,[status(thm)],[c_69,c_5392]) ).
tcf(c_5401,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,plus(n1,X0),n5) = a_select3(pminus_ds1_filter,n5,plus(n1,X0)) )
| ~ leq(n0,X0)
| ~ leq(plus(n1,X0),n5) ),
inference(superposition,[status(thm)],[c_82,c_5392]) ).
tcf(c_5402,plain,
( ( a_select3(pminus_ds1_filter,n0,n5) = a_select3(pminus_ds1_filter,n5,n0) )
| ~ leq(n0,n5) ),
inference(superposition,[status(thm)],[c_85,c_5392]) ).
tcf(c_5403,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,minus(X0,n1),n5) = a_select3(pminus_ds1_filter,n5,minus(X0,n1)) )
| ~ gt(X0,n0)
| ~ leq(minus(X0,n1),n5) ),
inference(superposition,[status(thm)],[c_145,c_5392]) ).
tcf(c_5404,plain,
( ( a_select3(pminus_ds1_filter,n1,n5) = a_select3(pminus_ds1_filter,n5,n1) )
| ~ leq(n1,n5) ),
inference(superposition,[status(thm)],[c_4147,c_5392]) ).
tcf(c_5405,plain,
( ( a_select3(pminus_ds1_filter,n3,n5) = a_select3(pminus_ds1_filter,n5,n3) )
| ~ leq(n3,n5) ),
inference(superposition,[status(thm)],[c_4152,c_5392]) ).
tcf(c_5406,plain,
( ( a_select3(pminus_ds1_filter,n999,n5) = a_select3(pminus_ds1_filter,n5,n999) )
| ~ leq(n999,n5) ),
inference(superposition,[status(thm)],[c_4157,c_5392]) ).
tcf(c_5409,plain,
a_select3(pminus_ds1_filter,n3,n5) = a_select3(pminus_ds1_filter,n5,n3),
inference(forward_subsumption_resolution,[status(thm)],[c_5405,c_4149]) ).
tcf(c_5410,plain,
a_select3(pminus_ds1_filter,n1,n5) = a_select3(pminus_ds1_filter,n5,n1),
inference(forward_subsumption_resolution,[status(thm)],[c_5404,c_4145]) ).
tcf(c_5427,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,X0,n5) = a_select3(q_ds1_filter,n5,X0) )
| ~ leq(X0,n5)
| ~ leq(n0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_4279,c_4176,c_4279]) ).
tcf(c_5428,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,X0,n5) = a_select3(q_ds1_filter,n5,X0) )
| ~ leq(n0,X0)
| ~ leq(X0,n5) ),
inference(renaming,[status(thm)],[c_5427]) ).
tcf(c_5436,plain,
( ( a_select3(q_ds1_filter,pv5,n5) = a_select3(q_ds1_filter,n5,pv5) )
| ~ leq(pv5,n5) ),
inference(superposition,[status(thm)],[c_69,c_5428]) ).
tcf(c_5437,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,plus(n1,X0),n5) = a_select3(q_ds1_filter,n5,plus(n1,X0)) )
| ~ leq(n0,X0)
| ~ leq(plus(n1,X0),n5) ),
inference(superposition,[status(thm)],[c_82,c_5428]) ).
tcf(c_5438,plain,
( ( a_select3(q_ds1_filter,n0,n5) = a_select3(q_ds1_filter,n5,n0) )
| ~ leq(n0,n5) ),
inference(superposition,[status(thm)],[c_85,c_5428]) ).
tcf(c_5439,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,minus(X0,n1),n5) = a_select3(q_ds1_filter,n5,minus(X0,n1)) )
| ~ gt(X0,n0)
| ~ leq(minus(X0,n1),n5) ),
inference(superposition,[status(thm)],[c_145,c_5428]) ).
tcf(c_5440,plain,
( ( a_select3(q_ds1_filter,n1,n5) = a_select3(q_ds1_filter,n5,n1) )
| ~ leq(n1,n5) ),
inference(superposition,[status(thm)],[c_4147,c_5428]) ).
tcf(c_5441,plain,
( ( a_select3(q_ds1_filter,n3,n5) = a_select3(q_ds1_filter,n5,n3) )
| ~ leq(n3,n5) ),
inference(superposition,[status(thm)],[c_4152,c_5428]) ).
tcf(c_5442,plain,
( ( a_select3(q_ds1_filter,n999,n5) = a_select3(q_ds1_filter,n5,n999) )
| ~ leq(n999,n5) ),
inference(superposition,[status(thm)],[c_4157,c_5428]) ).
tcf(c_5445,plain,
a_select3(q_ds1_filter,n3,n5) = a_select3(q_ds1_filter,n5,n3),
inference(forward_subsumption_resolution,[status(thm)],[c_5441,c_4149]) ).
tcf(c_5446,plain,
a_select3(q_ds1_filter,n1,n5) = a_select3(q_ds1_filter,n5,n1),
inference(forward_subsumption_resolution,[status(thm)],[c_5440,c_4145]) ).
tcf(c_5459,plain,
plus(n1,n6) = plus(n4,n3),
inference(light_normalisation,[status(thm)],[c_4251,c_5130]) ).
tcf(c_5460,plain,
plus(n3,n4) = plus(n1,n6),
inference(demodulation,[status(thm)],[c_5459,c_990]) ).
tcf(c_5462,plain,
plus(n1,plus(n1,n6)) = plus(n4,n4),
inference(superposition,[status(thm)],[c_5460,c_4026]) ).
tcf(c_5463,plain,
plus(n1,plus(n1,n6)) = plus(n3,n5),
inference(light_normalisation,[status(thm)],[c_5462,c_4755]) ).
tcf(c_5468,plain,
! [X0: $i,X1: $i] :
( leq(plus(X0,n1),plus(n1,X1))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_151,c_78]) ).
tcf(c_5469,plain,
! [X0: $i] :
( leq(n1,plus(n1,X0))
| ~ leq(n0,X0) ),
inference(superposition,[status(thm)],[c_86,c_78]) ).
tcf(c_5470,plain,
! [X0: $i,X1: $i] :
( leq(plus(X0,n2),plus(n1,X1))
| ~ leq(plus(n1,X0),X1) ),
inference(superposition,[status(thm)],[c_150,c_78]) ).
tcf(c_5471,plain,
! [X0: $i,X1: $i] :
( leq(plus(n2,X0),plus(n1,X1))
| ~ leq(plus(n1,X0),X1) ),
inference(superposition,[status(thm)],[c_149,c_78]) ).
tcf(c_5472,plain,
! [X0: $i] :
( leq(n0,plus(n1,X0))
| ~ leq(tptp_minus_1,X0) ),
inference(superposition,[status(thm)],[c_142,c_78]) ).
tcf(c_5473,plain,
! [X0: $i,X1: $i] :
( leq(X0,plus(n1,X1))
| ~ leq(minus(X0,n1),X1) ),
inference(superposition,[status(thm)],[c_143,c_78]) ).
tcf(c_5474,plain,
! [X0: $i] :
( leq(n2,plus(n1,X0))
| ~ leq(n1,X0) ),
inference(superposition,[status(thm)],[c_897,c_78]) ).
tcf(c_5475,plain,
! [X0: $i] :
( leq(n3,plus(n1,X0))
| ~ leq(n2,X0) ),
inference(superposition,[status(thm)],[c_926,c_78]) ).
tcf(c_5476,plain,
! [X0: $i] :
( leq(n4,plus(n1,X0))
| ~ leq(n3,X0) ),
inference(superposition,[status(thm)],[c_961,c_78]) ).
tcf(c_5477,plain,
! [X0: $i] :
( leq(n5,plus(n1,X0))
| ~ leq(n4,X0) ),
inference(superposition,[status(thm)],[c_988,c_78]) ).
tcf(c_5478,plain,
! [X0: $i] :
( leq(n6,plus(n1,X0))
| ~ leq(n5,X0) ),
inference(superposition,[status(thm)],[c_993,c_78]) ).
tcf(c_5479,plain,
! [X0: $i,X1: $i] :
( leq(plus(X0,n3),plus(n1,X1))
| ~ leq(plus(n2,X0),X1) ),
inference(superposition,[status(thm)],[c_959,c_78]) ).
tcf(c_5480,plain,
! [X0: $i,X1: $i] :
( leq(plus(X0,n4),plus(n1,X1))
| ~ leq(plus(X0,n3),X1) ),
inference(superposition,[status(thm)],[c_989,c_78]) ).
tcf(c_5481,plain,
! [X0: $i,X1: $i] :
( leq(plus(X0,n5),plus(n1,X1))
| ~ leq(plus(X0,n4),X1) ),
inference(superposition,[status(thm)],[c_991,c_78]) ).
tcf(c_5482,plain,
! [X0: $i,X1: $i] :
( leq(plus(X0,n4),plus(n1,X1))
| ~ leq(plus(n3,X0),X1) ),
inference(superposition,[status(thm)],[c_4026,c_78]) ).
tcf(c_5483,plain,
! [X0: $i,X1: $i] :
( leq(plus(n1,X0),plus(X1,n1))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_151,c_78]) ).
tcf(c_5484,plain,
! [X0: $i] :
( leq(plus(n1,X0),n1)
| ~ leq(X0,n0) ),
inference(superposition,[status(thm)],[c_86,c_78]) ).
tcf(c_5485,plain,
! [X0: $i,X1: $i] :
( leq(plus(n1,X0),plus(X1,n2))
| ~ leq(X0,plus(n1,X1)) ),
inference(superposition,[status(thm)],[c_150,c_78]) ).
tcf(c_5486,plain,
! [X0: $i,X1: $i] :
( leq(plus(n1,X0),plus(n2,X1))
| ~ leq(X0,plus(n1,X1)) ),
inference(superposition,[status(thm)],[c_149,c_78]) ).
tcf(c_5487,plain,
! [X0: $i] :
( leq(plus(n1,X0),n0)
| ~ leq(X0,tptp_minus_1) ),
inference(superposition,[status(thm)],[c_142,c_78]) ).
tcf(c_5488,plain,
! [X0: $i,X1: $i] :
( leq(plus(n1,X0),X1)
| ~ leq(X0,minus(X1,n1)) ),
inference(superposition,[status(thm)],[c_143,c_78]) ).
tcf(c_5489,plain,
! [X0: $i] :
( leq(plus(n1,X0),n2)
| ~ leq(X0,n1) ),
inference(superposition,[status(thm)],[c_897,c_78]) ).
tcf(c_5490,plain,
! [X0: $i] :
( leq(plus(n1,X0),n3)
| ~ leq(X0,n2) ),
inference(superposition,[status(thm)],[c_926,c_78]) ).
tcf(c_5491,plain,
! [X0: $i] :
( leq(plus(n1,X0),n4)
| ~ leq(X0,n3) ),
inference(superposition,[status(thm)],[c_961,c_78]) ).
tcf(c_5492,plain,
! [X0: $i] :
( leq(plus(n1,X0),n5)
| ~ leq(X0,n4) ),
inference(superposition,[status(thm)],[c_988,c_78]) ).
tcf(c_5493,plain,
! [X0: $i] :
( leq(plus(n1,X0),n6)
| ~ leq(X0,n5) ),
inference(superposition,[status(thm)],[c_993,c_78]) ).
tcf(c_5494,plain,
! [X0: $i,X1: $i] :
( leq(plus(n1,X0),plus(X1,n3))
| ~ leq(X0,plus(n2,X1)) ),
inference(superposition,[status(thm)],[c_959,c_78]) ).
tcf(c_5495,plain,
! [X0: $i,X1: $i] :
( leq(plus(n1,X0),plus(X1,n4))
| ~ leq(X0,plus(X1,n3)) ),
inference(superposition,[status(thm)],[c_989,c_78]) ).
tcf(c_5496,plain,
! [X0: $i,X1: $i] :
( leq(plus(n1,X0),plus(X1,n5))
| ~ leq(X0,plus(X1,n4)) ),
inference(superposition,[status(thm)],[c_991,c_78]) ).
tcf(c_5497,plain,
! [X0: $i,X1: $i] :
( leq(plus(n1,X0),plus(X1,n4))
| ~ leq(X0,plus(n3,X1)) ),
inference(superposition,[status(thm)],[c_4026,c_78]) ).
tcf(c_5498,plain,
! [X0: $i,X1: $i] :
( gt(plus(n1,X1),plus(n1,X0))
| ( plus(n1,X0) = plus(n1,X1) )
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_78,c_75]) ).
tcf(c_5637,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ~ leq(plus(n1,X0),X1) ),
inference(superposition,[status(thm)],[c_82,c_79]) ).
tcf(c_5639,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ~ leq(plus(X0,n1),plus(n1,X1)) ),
inference(superposition,[status(thm)],[c_151,c_79]) ).
tcf(c_5640,plain,
! [X0: $i] :
( leq(n0,X0)
| ~ leq(n1,plus(n1,X0)) ),
inference(superposition,[status(thm)],[c_86,c_79]) ).
tcf(c_5641,plain,
! [X0: $i,X1: $i] :
( leq(plus(n1,X0),X1)
| ~ leq(plus(X0,n2),plus(n1,X1)) ),
inference(superposition,[status(thm)],[c_150,c_79]) ).
tcf(c_5642,plain,
! [X0: $i,X1: $i] :
( leq(plus(n1,X0),X1)
| ~ leq(plus(n2,X0),plus(n1,X1)) ),
inference(superposition,[status(thm)],[c_149,c_79]) ).
tcf(c_5643,plain,
! [X0: $i] :
( leq(tptp_minus_1,X0)
| ~ leq(n0,plus(n1,X0)) ),
inference(superposition,[status(thm)],[c_142,c_79]) ).
tcf(c_5644,plain,
! [X0: $i,X1: $i] :
( leq(minus(X0,n1),X1)
| ~ leq(X0,plus(n1,X1)) ),
inference(superposition,[status(thm)],[c_143,c_79]) ).
tcf(c_5645,plain,
! [X0: $i] :
( leq(n1,X0)
| ~ leq(n2,plus(n1,X0)) ),
inference(superposition,[status(thm)],[c_897,c_79]) ).
tcf(c_5646,plain,
! [X0: $i] :
( leq(n2,X0)
| ~ leq(n3,plus(n1,X0)) ),
inference(superposition,[status(thm)],[c_926,c_79]) ).
tcf(c_5647,plain,
! [X0: $i] :
( leq(n3,X0)
| ~ leq(n4,plus(n1,X0)) ),
inference(superposition,[status(thm)],[c_961,c_79]) ).
tcf(c_5648,plain,
! [X0: $i] :
( leq(n4,X0)
| ~ leq(n5,plus(n1,X0)) ),
inference(superposition,[status(thm)],[c_988,c_79]) ).
tcf(c_5649,plain,
! [X0: $i] :
( leq(n5,X0)
| ~ leq(n6,plus(n1,X0)) ),
inference(superposition,[status(thm)],[c_993,c_79]) ).
tcf(c_5650,plain,
! [X0: $i,X1: $i] :
( leq(plus(n2,X0),X1)
| ~ leq(plus(X0,n3),plus(n1,X1)) ),
inference(superposition,[status(thm)],[c_959,c_79]) ).
tcf(c_5651,plain,
! [X0: $i,X1: $i] :
( leq(plus(X0,n3),X1)
| ~ leq(plus(X0,n4),plus(n1,X1)) ),
inference(superposition,[status(thm)],[c_989,c_79]) ).
tcf(c_5652,plain,
! [X0: $i,X1: $i] :
( leq(plus(X0,n4),X1)
| ~ leq(plus(X0,n5),plus(n1,X1)) ),
inference(superposition,[status(thm)],[c_991,c_79]) ).
tcf(c_5653,plain,
! [X0: $i,X1: $i] :
( leq(plus(n3,X0),X1)
| ~ leq(plus(X0,n4),plus(n1,X1)) ),
inference(superposition,[status(thm)],[c_4026,c_79]) ).
tcf(c_5654,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ~ leq(plus(n1,X0),plus(X1,n1)) ),
inference(superposition,[status(thm)],[c_151,c_79]) ).
tcf(c_5655,plain,
! [X0: $i] :
( leq(X0,n0)
| ~ leq(plus(n1,X0),n1) ),
inference(superposition,[status(thm)],[c_86,c_79]) ).
tcf(c_5656,plain,
! [X0: $i,X1: $i] :
( leq(X0,plus(n1,X1))
| ~ leq(plus(n1,X0),plus(X1,n2)) ),
inference(superposition,[status(thm)],[c_150,c_79]) ).
tcf(c_5657,plain,
! [X0: $i,X1: $i] :
( leq(X0,plus(n1,X1))
| ~ leq(plus(n1,X0),plus(n2,X1)) ),
inference(superposition,[status(thm)],[c_149,c_79]) ).
tcf(c_5658,plain,
! [X0: $i] :
( leq(X0,tptp_minus_1)
| ~ leq(plus(n1,X0),n0) ),
inference(superposition,[status(thm)],[c_142,c_79]) ).
tcf(c_5659,plain,
! [X0: $i,X1: $i] :
( leq(X0,minus(X1,n1))
| ~ leq(plus(n1,X0),X1) ),
inference(superposition,[status(thm)],[c_143,c_79]) ).
tcf(c_5660,plain,
! [X0: $i] :
( leq(X0,n1)
| ~ leq(plus(n1,X0),n2) ),
inference(superposition,[status(thm)],[c_897,c_79]) ).
tcf(c_5661,plain,
! [X0: $i] :
( leq(X0,n2)
| ~ leq(plus(n1,X0),n3) ),
inference(superposition,[status(thm)],[c_926,c_79]) ).
tcf(c_5662,plain,
! [X0: $i] :
( leq(X0,n3)
| ~ leq(plus(n1,X0),n4) ),
inference(superposition,[status(thm)],[c_961,c_79]) ).
tcf(c_5663,plain,
! [X0: $i] :
( leq(X0,n4)
| ~ leq(plus(n1,X0),n5) ),
inference(superposition,[status(thm)],[c_988,c_79]) ).
tcf(c_5664,plain,
! [X0: $i] :
( leq(X0,n5)
| ~ leq(plus(n1,X0),n6) ),
inference(superposition,[status(thm)],[c_993,c_79]) ).
tcf(c_5665,plain,
! [X0: $i,X1: $i] :
( leq(X0,plus(n2,X1))
| ~ leq(plus(n1,X0),plus(X1,n3)) ),
inference(superposition,[status(thm)],[c_959,c_79]) ).
tcf(c_5666,plain,
! [X0: $i,X1: $i] :
( leq(X0,plus(X1,n3))
| ~ leq(plus(n1,X0),plus(X1,n4)) ),
inference(superposition,[status(thm)],[c_989,c_79]) ).
tcf(c_5667,plain,
! [X0: $i,X1: $i] :
( leq(X0,plus(X1,n4))
| ~ leq(plus(n1,X0),plus(X1,n5)) ),
inference(superposition,[status(thm)],[c_991,c_79]) ).
tcf(c_5668,plain,
! [X0: $i,X1: $i] :
( leq(X0,plus(n3,X1))
| ~ leq(plus(n1,X0),plus(X1,n4)) ),
inference(superposition,[status(thm)],[c_4026,c_79]) ).
tcf(c_5892,plain,
! [X0: $i] :
( leq(n0,X0)
| ~ leq(pv5,X0) ),
inference(superposition,[status(thm)],[c_69,c_84]) ).
tcf(c_5893,plain,
! [X0: $i] :
( leq(pv5,X0)
| ~ leq(minus(n999,n1),X0) ),
inference(superposition,[status(thm)],[c_70,c_84]) ).
tcf(c_5894,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(plus(n1,X2),X1)
| ~ leq(X2,X0)
| ~ leq(plus(n1,X0),X1) ),
inference(superposition,[status(thm)],[c_78,c_84]) ).
tcf(c_5895,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| ~ leq(X2,X0)
| ~ leq(plus(n1,X0),X1) ),
inference(superposition,[status(thm)],[c_82,c_84]) ).
tcf(c_5897,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| ~ gt(X0,X2)
| ~ leq(minus(X0,n1),X1) ),
inference(superposition,[status(thm)],[c_145,c_84]) ).
tcf(c_5898,plain,
! [X0: $i] :
( leq(n0,X0)
| ~ leq(n1,X0) ),
inference(superposition,[status(thm)],[c_4147,c_84]) ).
tcf(c_5899,plain,
! [X0: $i] :
( leq(n1,X0)
| ~ leq(n2,X0) ),
inference(superposition,[status(thm)],[c_4144,c_84]) ).
tcf(c_5900,plain,
! [X0: $i] :
( leq(n1,X0)
| ~ leq(n3,X0) ),
inference(superposition,[status(thm)],[c_4143,c_84]) ).
tcf(c_5901,plain,
! [X0: $i] :
( leq(n1,X0)
| ~ leq(n4,X0) ),
inference(superposition,[status(thm)],[c_4146,c_84]) ).
tcf(c_5902,plain,
! [X0: $i] :
( leq(n1,X0)
| ~ leq(n5,X0) ),
inference(superposition,[status(thm)],[c_4145,c_84]) ).
tcf(c_5903,plain,
! [X0: $i] :
( leq(n3,X0)
| ~ leq(n6,X0) ),
inference(superposition,[status(thm)],[c_4148,c_84]) ).
tcf(c_5904,plain,
! [X0: $i] :
( leq(n3,X0)
| ~ leq(n5,X0) ),
inference(superposition,[status(thm)],[c_4149,c_84]) ).
tcf(c_5905,plain,
! [X0: $i] :
( leq(n3,X0)
| ~ leq(n4,X0) ),
inference(superposition,[status(thm)],[c_4150,c_84]) ).
tcf(c_5906,plain,
! [X0: $i] :
( leq(n2,X0)
| ~ leq(n3,X0) ),
inference(superposition,[status(thm)],[c_4151,c_84]) ).
tcf(c_5907,plain,
! [X0: $i] :
( leq(n0,X0)
| ~ leq(n3,X0) ),
inference(superposition,[status(thm)],[c_4152,c_84]) ).
tcf(c_5908,plain,
! [X0: $i] :
( leq(tptp_minus_1,X0)
| ~ leq(n3,X0) ),
inference(superposition,[status(thm)],[c_4153,c_84]) ).
tcf(c_5909,plain,
! [X0: $i] :
( leq(n3,X0)
| ~ leq(n999,X0) ),
inference(superposition,[status(thm)],[c_4154,c_84]) ).
tcf(c_5910,plain,
! [X0: $i] :
( leq(n2,X0)
| ~ leq(n999,X0) ),
inference(superposition,[status(thm)],[c_4155,c_84]) ).
tcf(c_5911,plain,
! [X0: $i] :
( leq(n1,X0)
| ~ leq(n999,X0) ),
inference(superposition,[status(thm)],[c_4156,c_84]) ).
tcf(c_5912,plain,
! [X0: $i] :
( leq(n0,X0)
| ~ leq(n999,X0) ),
inference(superposition,[status(thm)],[c_4157,c_84]) ).
tcf(c_5913,plain,
! [X0: $i] :
( leq(tptp_minus_1,X0)
| ~ leq(n999,X0) ),
inference(superposition,[status(thm)],[c_4158,c_84]) ).
tcf(c_5914,plain,
! [X0: $i] :
( leq(n6,X0)
| ~ leq(n999,X0) ),
inference(superposition,[status(thm)],[c_4159,c_84]) ).
tcf(c_5915,plain,
! [X0: $i] :
( leq(n5,X0)
| ~ leq(n999,X0) ),
inference(superposition,[status(thm)],[c_4160,c_84]) ).
tcf(c_5916,plain,
! [X0: $i] :
( leq(pv5,X0)
| ~ leq(n999,X0) ),
inference(superposition,[status(thm)],[c_5044,c_84]) ).
tcf(c_6043,plain,
! [X0: $i,X1: $i,X2: $i] :
( gt(X2,X1)
| gt(X0,X2)
| ( X0 = X2 )
| ~ gt(X0,X1) ),
inference(superposition,[status(thm)],[c_76,c_122]) ).
tcf(c_6045,plain,
! [X0: $i,X1: $i,X2: $i] :
( gt(plus(n1,X1),X2)
| ~ gt(X0,X2)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_81,c_122]) ).
tcf(c_6046,plain,
! [X0: $i] :
( gt(n3,X0)
| ~ gt(n1,X0) ),
inference(superposition,[status(thm)],[c_92,c_122]) ).
tcf(c_6047,plain,
! [X0: $i] :
( gt(n2,X0)
| ~ gt(n1,X0) ),
inference(superposition,[status(thm)],[c_93,c_122]) ).
tcf(c_6048,plain,
! [X0: $i] :
( gt(n5,X0)
| ~ gt(n1,X0) ),
inference(superposition,[status(thm)],[c_94,c_122]) ).
tcf(c_6049,plain,
! [X0: $i] :
( gt(n4,X0)
| ~ gt(n1,X0) ),
inference(superposition,[status(thm)],[c_95,c_122]) ).
tcf(c_6050,plain,
! [X0: $i] :
( gt(n1,X0)
| ~ gt(n0,X0) ),
inference(superposition,[status(thm)],[c_96,c_122]) ).
tcf(c_6051,plain,
! [X0: $i] :
( gt(n6,X0)
| ~ gt(n3,X0) ),
inference(superposition,[status(thm)],[c_99,c_122]) ).
tcf(c_6052,plain,
! [X0: $i] :
( gt(n5,X0)
| ~ gt(n3,X0) ),
inference(superposition,[status(thm)],[c_100,c_122]) ).
tcf(c_6053,plain,
! [X0: $i] :
( gt(n4,X0)
| ~ gt(n3,X0) ),
inference(superposition,[status(thm)],[c_101,c_122]) ).
tcf(c_6054,plain,
! [X0: $i] :
( gt(n3,X0)
| ~ gt(n2,X0) ),
inference(superposition,[status(thm)],[c_102,c_122]) ).
tcf(c_6055,plain,
! [X0: $i] :
( gt(n3,X0)
| ~ gt(n0,X0) ),
inference(superposition,[status(thm)],[c_103,c_122]) ).
tcf(c_6056,plain,
! [X0: $i] :
( gt(n3,X0)
| ~ gt(tptp_minus_1,X0) ),
inference(superposition,[status(thm)],[c_104,c_122]) ).
tcf(c_6057,plain,
! [X0: $i] :
( gt(n999,X0)
| ~ gt(n3,X0) ),
inference(superposition,[status(thm)],[c_106,c_122]) ).
tcf(c_6058,plain,
! [X0: $i] :
( gt(n999,X0)
| ~ gt(n2,X0) ),
inference(superposition,[status(thm)],[c_107,c_122]) ).
tcf(c_6059,plain,
! [X0: $i] :
( gt(n999,X0)
| ~ gt(n1,X0) ),
inference(superposition,[status(thm)],[c_108,c_122]) ).
tcf(c_6060,plain,
! [X0: $i] :
( gt(n999,X0)
| ~ gt(n0,X0) ),
inference(superposition,[status(thm)],[c_109,c_122]) ).
tcf(c_6061,plain,
! [X0: $i] :
( gt(n999,X0)
| ~ gt(tptp_minus_1,X0) ),
inference(superposition,[status(thm)],[c_110,c_122]) ).
tcf(c_6062,plain,
! [X0: $i] :
( gt(n999,X0)
| ~ gt(n6,X0) ),
inference(superposition,[status(thm)],[c_111,c_122]) ).
tcf(c_6063,plain,
! [X0: $i] :
( gt(n999,X0)
| ~ gt(n5,X0) ),
inference(superposition,[status(thm)],[c_112,c_122]) ).
tcf(c_6064,plain,
! [X0: $i] :
( gt(n999,X0)
| ~ gt(n4,X0) ),
inference(superposition,[status(thm)],[c_113,c_122]) ).
tcf(c_6065,plain,
! [X0: $i] :
( gt(n6,X0)
| ~ gt(n2,X0) ),
inference(superposition,[status(thm)],[c_115,c_122]) ).
tcf(c_6066,plain,
! [X0: $i] :
( gt(n6,X0)
| ~ gt(n1,X0) ),
inference(superposition,[status(thm)],[c_116,c_122]) ).
tcf(c_6067,plain,
! [X0: $i] :
( gt(n6,X0)
| ~ gt(n0,X0) ),
inference(superposition,[status(thm)],[c_117,c_122]) ).
tcf(c_6068,plain,
! [X0: $i] :
( gt(n6,X0)
| ~ gt(tptp_minus_1,X0) ),
inference(superposition,[status(thm)],[c_118,c_122]) ).
tcf(c_6069,plain,
! [X0: $i] :
( gt(n6,X0)
| ~ gt(n5,X0) ),
inference(superposition,[status(thm)],[c_119,c_122]) ).
tcf(c_6070,plain,
! [X0: $i] :
( gt(n6,X0)
| ~ gt(n4,X0) ),
inference(superposition,[status(thm)],[c_120,c_122]) ).
tcf(c_6071,plain,
! [X0: $i,X1: $i] :
( gt(plus(n1,X0),X1)
| ~ gt(X0,X1) ),
inference(superposition,[status(thm)],[c_124,c_122]) ).
tcf(c_6072,plain,
! [X0: $i] :
( gt(n5,X0)
| ~ gt(n2,X0) ),
inference(superposition,[status(thm)],[c_125,c_122]) ).
tcf(c_6073,plain,
! [X0: $i] :
( gt(n4,X0)
| ~ gt(n2,X0) ),
inference(superposition,[status(thm)],[c_126,c_122]) ).
tcf(c_6074,plain,
! [X0: $i] :
( gt(n2,X0)
| ~ gt(n0,X0) ),
inference(superposition,[status(thm)],[c_127,c_122]) ).
tcf(c_6075,plain,
! [X0: $i] :
( gt(n2,X0)
| ~ gt(tptp_minus_1,X0) ),
inference(superposition,[status(thm)],[c_128,c_122]) ).
tcf(c_6076,plain,
! [X0: $i] :
( gt(n4,X0)
| ~ gt(n0,X0) ),
inference(superposition,[status(thm)],[c_130,c_122]) ).
tcf(c_6077,plain,
! [X0: $i] :
( gt(n4,X0)
| ~ gt(tptp_minus_1,X0) ),
inference(superposition,[status(thm)],[c_131,c_122]) ).
tcf(c_6078,plain,
! [X0: $i] :
( gt(n5,X0)
| ~ gt(n4,X0) ),
inference(superposition,[status(thm)],[c_132,c_122]) ).
tcf(c_6079,plain,
! [X0: $i] :
( gt(n5,X0)
| ~ gt(n0,X0) ),
inference(superposition,[status(thm)],[c_136,c_122]) ).
tcf(c_6080,plain,
! [X0: $i] :
( gt(n5,X0)
| ~ gt(tptp_minus_1,X0) ),
inference(superposition,[status(thm)],[c_137,c_122]) ).
tcf(c_6081,plain,
! [X0: $i] :
( gt(n1,X0)
| ~ gt(tptp_minus_1,X0) ),
inference(superposition,[status(thm)],[c_140,c_122]) ).
tcf(c_6082,plain,
! [X0: $i] :
( gt(n0,X0)
| ~ gt(tptp_minus_1,X0) ),
inference(superposition,[status(thm)],[c_141,c_122]) ).
tcf(c_6083,plain,
! [X0: $i] :
( gt(n999,X0)
| ~ gt(pv5,X0) ),
inference(superposition,[status(thm)],[c_5040,c_122]) ).
tcf(c_6084,plain,
! [X0: $i] :
( gt(pv5,X0)
| ( n0 = pv5 )
| ~ gt(n0,X0) ),
inference(superposition,[status(thm)],[c_5290,c_122]) ).
tcf(c_6085,plain,
! [X0: $i] :
( gt(minus(n999,n1),X0)
| ( minus(n999,n1) = pv5 )
| ~ gt(pv5,X0) ),
inference(superposition,[status(thm)],[c_5291,c_122]) ).
tcf(c_6257,plain,
! [X0: $i] :
( leq(n4,X0)
| ~ leq(n999,X0) ),
inference(superposition,[status(thm)],[c_4161,c_84]) ).
tcf(c_6262,plain,
! [X0: $i] :
( leq(n2,X0)
| ~ leq(n6,X0) ),
inference(superposition,[status(thm)],[c_4162,c_84]) ).
tcf(c_6267,plain,
! [X0: $i] :
( leq(n1,X0)
| ~ leq(n6,X0) ),
inference(superposition,[status(thm)],[c_4163,c_84]) ).
tcf(c_6271,plain,
( ( a_select3(q_ds1_filter,n6,n5) = a_select3(q_ds1_filter,n5,n6) )
| ~ leq(n6,n5) ),
inference(superposition,[status(thm)],[c_4164,c_5428]) ).
tcf(c_6272,plain,
( ( a_select3(pminus_ds1_filter,n6,n5) = a_select3(pminus_ds1_filter,n5,n6) )
| ~ leq(n6,n5) ),
inference(superposition,[status(thm)],[c_4164,c_5392]) ).
tcf(c_6273,plain,
( ( a_select3(r_ds1_filter,n6,n2) = a_select3(r_ds1_filter,n2,n6) )
| ~ leq(n6,n2) ),
inference(superposition,[status(thm)],[c_4164,c_5060]) ).
tcf(c_6276,plain,
( ( a_select3(q_ds1_filter,n6,pv5) = a_select3(q_ds1_filter,pv5,n6) )
| ~ leq(pv5,n5)
| ~ leq(n6,n5) ),
inference(superposition,[status(thm)],[c_4164,c_4430]) ).
tcf(c_6277,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,X0,n6) = a_select3(q_ds1_filter,n6,X0) )
| ~ leq(n6,n5)
| ~ leq(n0,X0)
| ~ leq(X0,n5) ),
inference(superposition,[status(thm)],[c_4164,c_4281]) ).
tcf(c_6278,plain,
( ( a_select3(pminus_ds1_filter,n6,pv5) = a_select3(pminus_ds1_filter,pv5,n6) )
| ~ leq(pv5,n5)
| ~ leq(n6,n5) ),
inference(superposition,[status(thm)],[c_4164,c_4378]) ).
tcf(c_6279,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,X0,n6) = a_select3(pminus_ds1_filter,n6,X0) )
| ~ leq(n6,n5)
| ~ leq(n0,X0)
| ~ leq(X0,n5) ),
inference(superposition,[status(thm)],[c_4164,c_4280]) ).
tcf(c_6280,plain,
( ( a_select3(r_ds1_filter,n6,pv5) = a_select3(r_ds1_filter,pv5,n6) )
| ~ leq(pv5,n2)
| ~ leq(n6,n2) ),
inference(superposition,[status(thm)],[c_4164,c_4334]) ).
tcf(c_6281,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,X0,n6) = a_select3(r_ds1_filter,n6,X0) )
| ~ leq(n6,n2)
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(superposition,[status(thm)],[c_4164,c_4266]) ).
tcf(c_6282,plain,
! [X0: $i] :
( leq(n0,X0)
| ~ leq(n6,X0) ),
inference(superposition,[status(thm)],[c_4164,c_84]) ).
tcf(c_6336,plain,
leq(n0,minus(n999,n1)),
inference(superposition,[status(thm)],[c_70,c_5892]) ).
tcf(c_6337,plain,
! [X0: $i] :
( leq(n0,plus(n1,X0))
| ~ leq(pv5,X0) ),
inference(superposition,[status(thm)],[c_82,c_5892]) ).
tcf(c_6339,plain,
! [X0: $i] :
( leq(n0,minus(X0,n1))
| ~ gt(X0,pv5) ),
inference(superposition,[status(thm)],[c_145,c_5892]) ).
tcf(c_6347,plain,
( ( a_select3(q_ds1_filter,minus(n999,n1),n5) = a_select3(q_ds1_filter,n5,minus(n999,n1)) )
| ~ leq(minus(n999,n1),n5) ),
inference(superposition,[status(thm)],[c_6336,c_5428]) ).
tcf(c_6348,plain,
( ( a_select3(pminus_ds1_filter,minus(n999,n1),n5) = a_select3(pminus_ds1_filter,n5,minus(n999,n1)) )
| ~ leq(minus(n999,n1),n5) ),
inference(superposition,[status(thm)],[c_6336,c_5392]) ).
tcf(c_6349,plain,
( ( a_select3(r_ds1_filter,minus(n999,n1),n2) = a_select3(r_ds1_filter,n2,minus(n999,n1)) )
| ~ leq(minus(n999,n1),n2) ),
inference(superposition,[status(thm)],[c_6336,c_5060]) ).
tcf(c_6352,plain,
( ( a_select3(q_ds1_filter,minus(n999,n1),pv5) = a_select3(q_ds1_filter,pv5,minus(n999,n1)) )
| ~ leq(pv5,n5)
| ~ leq(minus(n999,n1),n5) ),
inference(superposition,[status(thm)],[c_6336,c_4430]) ).
tcf(c_6353,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,minus(n999,n1),X0) = a_select3(q_ds1_filter,X0,minus(n999,n1)) )
| ~ leq(n0,X0)
| ~ leq(X0,n5)
| ~ leq(minus(n999,n1),n5) ),
inference(superposition,[status(thm)],[c_6336,c_4281]) ).
tcf(c_6354,plain,
( ( a_select3(pminus_ds1_filter,minus(n999,n1),pv5) = a_select3(pminus_ds1_filter,pv5,minus(n999,n1)) )
| ~ leq(pv5,n5)
| ~ leq(minus(n999,n1),n5) ),
inference(superposition,[status(thm)],[c_6336,c_4378]) ).
tcf(c_6355,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,minus(n999,n1),X0) = a_select3(pminus_ds1_filter,X0,minus(n999,n1)) )
| ~ leq(n0,X0)
| ~ leq(X0,n5)
| ~ leq(minus(n999,n1),n5) ),
inference(superposition,[status(thm)],[c_6336,c_4280]) ).
tcf(c_6356,plain,
( ( a_select3(r_ds1_filter,minus(n999,n1),pv5) = a_select3(r_ds1_filter,pv5,minus(n999,n1)) )
| ~ leq(pv5,n2)
| ~ leq(minus(n999,n1),n2) ),
inference(superposition,[status(thm)],[c_6336,c_4334]) ).
tcf(c_6357,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,minus(n999,n1),X0) = a_select3(r_ds1_filter,X0,minus(n999,n1)) )
| ~ leq(n0,X0)
| ~ leq(X0,n2)
| ~ leq(minus(n999,n1),n2) ),
inference(superposition,[status(thm)],[c_6336,c_4266]) ).
tcf(c_6358,plain,
! [X0: $i] :
( leq(n0,X0)
| ~ leq(minus(n999,n1),X0) ),
inference(superposition,[status(thm)],[c_6336,c_84]) ).
tcf(c_6359,plain,
( gt(minus(n999,n1),n0)
| ( minus(n999,n1) = n0 ) ),
inference(superposition,[status(thm)],[c_6336,c_75]) ).
tcf(c_6447,plain,
! [X0: $i] :
( leq(pv5,plus(n1,X0))
| ~ leq(minus(n999,n1),X0) ),
inference(superposition,[status(thm)],[c_82,c_5893]) ).
tcf(c_6449,plain,
! [X0: $i] :
( leq(pv5,minus(X0,n1))
| ~ gt(X0,minus(n999,n1)) ),
inference(superposition,[status(thm)],[c_145,c_5893]) ).
tcf(c_6471,plain,
! [X0: $i] :
( gt(n999,X0)
| gt(X0,pv5)
| ( X0 = pv5 ) ),
inference(superposition,[status(thm)],[c_76,c_6083]) ).
tcf(c_6569,plain,
! [X0: $i] :
( leq(n0,plus(X0,n1))
| ~ leq(pv5,X0) ),
inference(superposition,[status(thm)],[c_151,c_6337]) ).
tcf(c_6571,plain,
! [X0: $i] :
( leq(n0,plus(X0,n2))
| ~ leq(pv5,plus(n1,X0)) ),
inference(superposition,[status(thm)],[c_150,c_6337]) ).
tcf(c_6572,plain,
! [X0: $i] :
( leq(n0,plus(n2,X0))
| ~ leq(pv5,plus(n1,X0)) ),
inference(superposition,[status(thm)],[c_149,c_6337]) ).
tcf(c_6573,plain,
( leq(n0,n0)
| ~ leq(pv5,tptp_minus_1) ),
inference(superposition,[status(thm)],[c_142,c_6337]) ).
tcf(c_6574,plain,
! [X0: $i] :
( leq(n0,X0)
| ~ leq(pv5,minus(X0,n1)) ),
inference(superposition,[status(thm)],[c_143,c_6337]) ).
tcf(c_6580,plain,
! [X0: $i] :
( leq(n0,plus(X0,n3))
| ~ leq(pv5,plus(n2,X0)) ),
inference(superposition,[status(thm)],[c_959,c_6337]) ).
tcf(c_6581,plain,
! [X0: $i] :
( leq(n0,plus(X0,n4))
| ~ leq(pv5,plus(X0,n3)) ),
inference(superposition,[status(thm)],[c_989,c_6337]) ).
tcf(c_6582,plain,
! [X0: $i] :
( leq(n0,plus(X0,n5))
| ~ leq(pv5,plus(X0,n4)) ),
inference(superposition,[status(thm)],[c_991,c_6337]) ).
tcf(c_6583,plain,
! [X0: $i] :
( leq(n0,plus(X0,n4))
| ~ leq(pv5,plus(n3,X0)) ),
inference(superposition,[status(thm)],[c_4026,c_6337]) ).
tcf(c_6584,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,plus(n1,X0),n5) = a_select3(q_ds1_filter,n5,plus(n1,X0)) )
| ~ leq(pv5,X0)
| ~ leq(plus(n1,X0),n5) ),
inference(superposition,[status(thm)],[c_6337,c_5428]) ).
tcf(c_6585,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,plus(n1,X0),n5) = a_select3(pminus_ds1_filter,n5,plus(n1,X0)) )
| ~ leq(pv5,X0)
| ~ leq(plus(n1,X0),n5) ),
inference(superposition,[status(thm)],[c_6337,c_5392]) ).
tcf(c_6586,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,plus(n1,X0),n2) = a_select3(r_ds1_filter,n2,plus(n1,X0)) )
| ~ leq(pv5,X0)
| ~ leq(plus(n1,X0),n2) ),
inference(superposition,[status(thm)],[c_6337,c_5060]) ).
tcf(c_6589,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,plus(n1,X0),pv5) = a_select3(q_ds1_filter,pv5,plus(n1,X0)) )
| ~ leq(pv5,n5)
| ~ leq(pv5,X0)
| ~ leq(plus(n1,X0),n5) ),
inference(superposition,[status(thm)],[c_6337,c_4430]) ).
tcf(c_6590,plain,
! [X0: $i,X1: $i] :
( ( a_select3(q_ds1_filter,plus(n1,X0),X1) = a_select3(q_ds1_filter,X1,plus(n1,X0)) )
| ~ leq(pv5,X0)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| ~ leq(plus(n1,X0),n5) ),
inference(superposition,[status(thm)],[c_6337,c_4281]) ).
tcf(c_6591,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,plus(n1,X0),pv5) = a_select3(pminus_ds1_filter,pv5,plus(n1,X0)) )
| ~ leq(pv5,n5)
| ~ leq(pv5,X0)
| ~ leq(plus(n1,X0),n5) ),
inference(superposition,[status(thm)],[c_6337,c_4378]) ).
tcf(c_6592,plain,
! [X0: $i,X1: $i] :
( ( a_select3(pminus_ds1_filter,plus(n1,X0),X1) = a_select3(pminus_ds1_filter,X1,plus(n1,X0)) )
| ~ leq(pv5,X0)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| ~ leq(plus(n1,X0),n5) ),
inference(superposition,[status(thm)],[c_6337,c_4280]) ).
tcf(c_6593,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,plus(n1,X0),pv5) = a_select3(r_ds1_filter,pv5,plus(n1,X0)) )
| ~ leq(pv5,n2)
| ~ leq(pv5,X0)
| ~ leq(plus(n1,X0),n2) ),
inference(superposition,[status(thm)],[c_6337,c_4334]) ).
tcf(c_6594,plain,
! [X0: $i,X1: $i] :
( ( a_select3(r_ds1_filter,plus(n1,X0),X1) = a_select3(r_ds1_filter,X1,plus(n1,X0)) )
| ~ leq(pv5,X0)
| ~ leq(n0,X1)
| ~ leq(X1,n2)
| ~ leq(plus(n1,X0),n2) ),
inference(superposition,[status(thm)],[c_6337,c_4266]) ).
tcf(c_6595,plain,
! [X0: $i,X1: $i] :
( leq(n0,X1)
| ~ leq(pv5,X0)
| ~ leq(plus(n1,X0),X1) ),
inference(superposition,[status(thm)],[c_6337,c_84]) ).
tcf(c_6596,plain,
! [X0: $i] :
( gt(plus(n1,X0),n0)
| ( plus(n1,X0) = n0 )
| ~ leq(pv5,X0) ),
inference(superposition,[status(thm)],[c_6337,c_75]) ).
tcf(c_6745,plain,
! [X0: $i] :
( leq(n0,X0)
| ~ gt(plus(n1,X0),pv5) ),
inference(superposition,[status(thm)],[c_144,c_6339]) ).
tcf(c_6746,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,minus(X0,n1),n5) = a_select3(q_ds1_filter,n5,minus(X0,n1)) )
| ~ gt(X0,pv5)
| ~ leq(minus(X0,n1),n5) ),
inference(superposition,[status(thm)],[c_6339,c_5428]) ).
tcf(c_6747,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,minus(X0,n1),n5) = a_select3(pminus_ds1_filter,n5,minus(X0,n1)) )
| ~ gt(X0,pv5)
| ~ leq(minus(X0,n1),n5) ),
inference(superposition,[status(thm)],[c_6339,c_5392]) ).
tcf(c_6748,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,minus(X0,n1),n2) = a_select3(r_ds1_filter,n2,minus(X0,n1)) )
| ~ gt(X0,pv5)
| ~ leq(minus(X0,n1),n2) ),
inference(superposition,[status(thm)],[c_6339,c_5060]) ).
tcf(c_6751,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,minus(X0,n1),pv5) = a_select3(q_ds1_filter,pv5,minus(X0,n1)) )
| ~ leq(pv5,n5)
| ~ gt(X0,pv5)
| ~ leq(minus(X0,n1),n5) ),
inference(superposition,[status(thm)],[c_6339,c_4430]) ).
tcf(c_6752,plain,
! [X0: $i,X1: $i] :
( ( a_select3(q_ds1_filter,minus(X0,n1),X1) = a_select3(q_ds1_filter,X1,minus(X0,n1)) )
| ~ gt(X0,pv5)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| ~ leq(minus(X0,n1),n5) ),
inference(superposition,[status(thm)],[c_6339,c_4281]) ).
tcf(c_6753,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,minus(X0,n1),pv5) = a_select3(pminus_ds1_filter,pv5,minus(X0,n1)) )
| ~ leq(pv5,n5)
| ~ gt(X0,pv5)
| ~ leq(minus(X0,n1),n5) ),
inference(superposition,[status(thm)],[c_6339,c_4378]) ).
tcf(c_6754,plain,
! [X0: $i,X1: $i] :
( ( a_select3(pminus_ds1_filter,minus(X0,n1),X1) = a_select3(pminus_ds1_filter,X1,minus(X0,n1)) )
| ~ gt(X0,pv5)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| ~ leq(minus(X0,n1),n5) ),
inference(superposition,[status(thm)],[c_6339,c_4280]) ).
tcf(c_6755,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,minus(X0,n1),pv5) = a_select3(r_ds1_filter,pv5,minus(X0,n1)) )
| ~ leq(pv5,n2)
| ~ gt(X0,pv5)
| ~ leq(minus(X0,n1),n2) ),
inference(superposition,[status(thm)],[c_6339,c_4334]) ).
tcf(c_6756,plain,
! [X0: $i,X1: $i] :
( ( a_select3(r_ds1_filter,minus(X0,n1),X1) = a_select3(r_ds1_filter,X1,minus(X0,n1)) )
| ~ gt(X0,pv5)
| ~ leq(n0,X1)
| ~ leq(X1,n2)
| ~ leq(minus(X0,n1),n2) ),
inference(superposition,[status(thm)],[c_6339,c_4266]) ).
tcf(c_6757,plain,
! [X0: $i,X1: $i] :
( leq(n0,X1)
| ~ gt(X0,pv5)
| ~ leq(minus(X0,n1),X1) ),
inference(superposition,[status(thm)],[c_6339,c_84]) ).
tcf(c_6758,plain,
! [X0: $i] :
( gt(minus(X0,n1),n0)
| ( minus(X0,n1) = n0 )
| ~ gt(X0,pv5) ),
inference(superposition,[status(thm)],[c_6339,c_75]) ).
tcf(c_6759,plain,
! [X0: $i] :
( gt(X0,n0)
| ~ gt(X0,pv5) ),
inference(superposition,[status(thm)],[c_6339,c_146]) ).
tcf(c_6868,plain,
! [X0: $i] :
( leq(n0,plus(n1,X0))
| ~ leq(minus(n999,n1),X0) ),
inference(superposition,[status(thm)],[c_82,c_6358]) ).
tcf(c_6870,plain,
! [X0: $i] :
( leq(n0,minus(X0,n1))
| ~ gt(X0,minus(n999,n1)) ),
inference(superposition,[status(thm)],[c_145,c_6358]) ).
tcf(c_6878,plain,
( leq(n0,n0)
| ~ gt(n1,pv5) ),
inference(superposition,[status(thm)],[c_4255,c_6339]) ).
tcf(c_6888,plain,
( ( n0 = pv5 )
| ~ leq(pv5,n0) ),
inference(superposition,[status(thm)],[c_69,c_74]) ).
tcf(c_6889,plain,
! [X0: $i] :
( ( plus(n1,X0) = n0 )
| ~ leq(n0,X0)
| ~ leq(plus(n1,X0),n0) ),
inference(superposition,[status(thm)],[c_82,c_74]) ).
tcf(c_6891,plain,
! [X0: $i] :
( ( minus(X0,n1) = n0 )
| ~ gt(X0,n0)
| ~ leq(minus(X0,n1),n0) ),
inference(superposition,[status(thm)],[c_145,c_74]) ).
tcf(c_6892,plain,
( ( n0 = n1 )
| ~ leq(n1,n0) ),
inference(superposition,[status(thm)],[c_4147,c_74]) ).
tcf(c_6893,plain,
( ( n0 = n3 )
| ~ leq(n3,n0) ),
inference(superposition,[status(thm)],[c_4152,c_74]) ).
tcf(c_6894,plain,
( ( n0 = n999 )
| ~ leq(n999,n0) ),
inference(superposition,[status(thm)],[c_4157,c_74]) ).
tcf(c_6895,plain,
( ( n0 = n6 )
| ~ leq(n6,n0) ),
inference(superposition,[status(thm)],[c_4164,c_74]) ).
tcf(c_6896,plain,
( ( minus(n999,n1) = n0 )
| ~ leq(minus(n999,n1),n0) ),
inference(superposition,[status(thm)],[c_6336,c_74]) ).
tcf(c_6897,plain,
! [X0: $i] :
( ( minus(X0,n1) = n0 )
| ~ gt(X0,pv5)
| ~ leq(minus(X0,n1),n0) ),
inference(superposition,[status(thm)],[c_6339,c_74]) ).
tcf(c_6898,plain,
! [X0: $i] :
( ( plus(n1,X0) = n0 )
| ~ leq(pv5,X0)
| ~ leq(plus(n1,X0),n0) ),
inference(superposition,[status(thm)],[c_6337,c_74]) ).
tcf(c_6931,plain,
! [X0: $i] :
( leq(tptp_minus_1,X0)
| ~ leq(n6,X0) ),
inference(superposition,[status(thm)],[c_4165,c_84]) ).
tcf(c_6935,plain,
! [X0: $i] :
( leq(n5,X0)
| ~ leq(n6,X0) ),
inference(superposition,[status(thm)],[c_4166,c_84]) ).
tcf(c_6940,plain,
! [X0: $i] :
( leq(n4,X0)
| ~ leq(n6,X0) ),
inference(superposition,[status(thm)],[c_4167,c_84]) ).
tcf(c_6945,plain,
! [X0: $i] :
( leq(n2,X0)
| ~ leq(n5,X0) ),
inference(superposition,[status(thm)],[c_4169,c_84]) ).
tcf(c_6974,plain,
! [X0: $i] :
( gt(pv5,X0)
| gt(X0,n0)
| ( n0 = pv5 )
| ( X0 = n0 ) ),
inference(superposition,[status(thm)],[c_76,c_6084]) ).
tcf(c_6976,plain,
( gt(pv5,tptp_minus_1)
| ( n0 = pv5 ) ),
inference(superposition,[status(thm)],[c_141,c_6084]) ).
tcf(c_6987,plain,
! [X0: $i] :
( gt(minus(n999,n1),X0)
| ( minus(n999,n1) = n0 )
| ~ gt(n0,X0) ),
inference(superposition,[status(thm)],[c_6359,c_122]) ).
tcf(c_6997,plain,
! [X0: $i] :
( leq(pv5,plus(n1,plus(n1,X0)))
| ~ leq(minus(n999,n1),X0) ),
inference(superposition,[status(thm)],[c_82,c_6447]) ).
tcf(c_6998,plain,
leq(pv5,plus(n1,minus(n999,n1))),
inference(superposition,[status(thm)],[c_85,c_6447]) ).
tcf(c_6999,plain,
! [X0: $i] :
( leq(pv5,plus(n1,minus(X0,n1)))
| ~ gt(X0,minus(n999,n1)) ),
inference(superposition,[status(thm)],[c_145,c_6447]) ).
tcf(c_7000,plain,
! [X0: $i] :
( leq(pv5,X0)
| ~ gt(X0,minus(n999,n1)) ),
inference(light_normalisation,[status(thm)],[c_6999,c_143]) ).
tcf(c_7003,plain,
! [X0: $i] :
( leq(pv5,plus(n2,X0))
| ~ leq(minus(n999,n1),X0) ),
inference(light_normalisation,[status(thm)],[c_6997,c_149]) ).
tcf(c_7012,plain,
! [X0: $i] :
( gt(minus(n999,n1),X0)
| leq(pv5,minus(X0,n1))
| ( minus(n999,n1) = X0 ) ),
inference(superposition,[status(thm)],[c_76,c_6449]) ).
tcf(c_7014,plain,
! [X0: $i] :
( leq(pv5,minus(plus(n1,X0),n1))
| ~ leq(minus(n999,n1),X0) ),
inference(superposition,[status(thm)],[c_81,c_6449]) ).
tcf(c_7015,plain,
leq(pv5,minus(plus(n1,minus(n999,n1)),n1)),
inference(superposition,[status(thm)],[c_124,c_6449]) ).
tcf(c_7031,plain,
! [X0: $i,X1: $i] :
( gt(minus(n999,n1),X1)
| ( minus(n999,n1) = pv5 )
| ~ gt(pv5,X0)
| ~ gt(X0,X1) ),
inference(superposition,[status(thm)],[c_6085,c_122]) ).
tcf(c_7032,plain,
! [X0: $i] :
( leq(X0,minus(n999,n1))
| ( minus(n999,n1) = pv5 )
| ~ gt(pv5,X0) ),
inference(superposition,[status(thm)],[c_6085,c_83]) ).
tcf(c_7033,plain,
( ( minus(n999,n1) = pv5 )
| ~ gt(pv5,minus(n999,n1)) ),
inference(superposition,[status(thm)],[c_6085,c_121]) ).
tcf(c_7052,plain,
( leq(n0,tptp_minus_1)
| ~ gt(n0,pv5) ),
inference(superposition,[status(thm)],[c_4256,c_6339]) ).
tcf(c_7066,plain,
( ( n1 = pv5 )
| ( n0 = pv5 )
| ~ leq(pv5,n1) ),
inference(superposition,[status(thm)],[c_69,c_89]) ).
tcf(c_7067,plain,
! [X0: $i] :
( ( plus(n1,X0) = n1 )
| ( plus(n1,X0) = n0 )
| ~ leq(n0,X0)
| ~ leq(plus(n1,X0),n1) ),
inference(superposition,[status(thm)],[c_82,c_89]) ).
tcf(c_7069,plain,
! [X0: $i] :
( ( minus(X0,n1) = n1 )
| ( minus(X0,n1) = n0 )
| ~ gt(X0,n0)
| ~ leq(minus(X0,n1),n1) ),
inference(superposition,[status(thm)],[c_145,c_89]) ).
tcf(c_7071,plain,
( ( n3 = n1 )
| ( n0 = n3 )
| ~ leq(n3,n1) ),
inference(superposition,[status(thm)],[c_4152,c_89]) ).
tcf(c_7072,plain,
( ( n1 = n999 )
| ( n0 = n999 )
| ~ leq(n999,n1) ),
inference(superposition,[status(thm)],[c_4157,c_89]) ).
tcf(c_7073,plain,
( ( n1 = n6 )
| ( n0 = n6 )
| ~ leq(n6,n1) ),
inference(superposition,[status(thm)],[c_4164,c_89]) ).
tcf(c_7074,plain,
( ( minus(n999,n1) = n1 )
| ( minus(n999,n1) = n0 )
| ~ leq(minus(n999,n1),n1) ),
inference(superposition,[status(thm)],[c_6336,c_89]) ).
tcf(c_7075,plain,
! [X0: $i] :
( ( minus(X0,n1) = n1 )
| ( minus(X0,n1) = n0 )
| ~ gt(X0,pv5)
| ~ leq(minus(X0,n1),n1) ),
inference(superposition,[status(thm)],[c_6339,c_89]) ).
tcf(c_7076,plain,
! [X0: $i] :
( ( plus(n1,X0) = n1 )
| ( plus(n1,X0) = n0 )
| ~ leq(pv5,X0)
| ~ leq(plus(n1,X0),n1) ),
inference(superposition,[status(thm)],[c_6337,c_89]) ).
tcf(c_7131,plain,
( ( pv5 = n2 )
| ( n1 = pv5 )
| ( n0 = pv5 )
| ~ leq(pv5,n2) ),
inference(superposition,[status(thm)],[c_69,c_88]) ).
tcf(c_7132,plain,
! [X0: $i] :
( ( plus(n1,X0) = n2 )
| ( plus(n1,X0) = n1 )
| ( plus(n1,X0) = n0 )
| ~ leq(n0,X0)
| ~ leq(plus(n1,X0),n2) ),
inference(superposition,[status(thm)],[c_82,c_88]) ).
tcf(c_7134,plain,
! [X0: $i] :
( ( minus(X0,n1) = n2 )
| ( minus(X0,n1) = n1 )
| ( minus(X0,n1) = n0 )
| ~ gt(X0,n0)
| ~ leq(minus(X0,n1),n2) ),
inference(superposition,[status(thm)],[c_145,c_88]) ).
tcf(c_7136,plain,
( ( n3 = n2 )
| ( n3 = n1 )
| ( n0 = n3 )
| ~ leq(n3,n2) ),
inference(superposition,[status(thm)],[c_4152,c_88]) ).
tcf(c_7137,plain,
( ( n999 = n2 )
| ( n1 = n999 )
| ( n0 = n999 )
| ~ leq(n999,n2) ),
inference(superposition,[status(thm)],[c_4157,c_88]) ).
tcf(c_7138,plain,
( ( n6 = n2 )
| ( n1 = n6 )
| ( n0 = n6 )
| ~ leq(n6,n2) ),
inference(superposition,[status(thm)],[c_4164,c_88]) ).
tcf(c_7139,plain,
( ( minus(n999,n1) = n2 )
| ( minus(n999,n1) = n1 )
| ( minus(n999,n1) = n0 )
| ~ leq(minus(n999,n1),n2) ),
inference(superposition,[status(thm)],[c_6336,c_88]) ).
tcf(c_7140,plain,
! [X0: $i] :
( ( minus(X0,n1) = n2 )
| ( minus(X0,n1) = n1 )
| ( minus(X0,n1) = n0 )
| ~ gt(X0,pv5)
| ~ leq(minus(X0,n1),n2) ),
inference(superposition,[status(thm)],[c_6339,c_88]) ).
tcf(c_7141,plain,
! [X0: $i] :
( ( plus(n1,X0) = n2 )
| ( plus(n1,X0) = n1 )
| ( plus(n1,X0) = n0 )
| ~ leq(pv5,X0)
| ~ leq(plus(n1,X0),n2) ),
inference(superposition,[status(thm)],[c_6337,c_88]) ).
tcf(c_7246,plain,
( ( pv5 = n2 )
| ( n1 = pv5 )
| ( n3 = pv5 )
| ( n0 = pv5 )
| ~ leq(pv5,n3) ),
inference(superposition,[status(thm)],[c_69,c_87]) ).
tcf(c_7247,plain,
! [X0: $i] :
( ( plus(n1,X0) = n2 )
| ( plus(n1,X0) = n1 )
| ( plus(n1,X0) = n3 )
| ( plus(n1,X0) = n0 )
| ~ leq(n0,X0)
| ~ leq(plus(n1,X0),n3) ),
inference(superposition,[status(thm)],[c_82,c_87]) ).
tcf(c_7249,plain,
! [X0: $i] :
( ( minus(X0,n1) = n2 )
| ( minus(X0,n1) = n1 )
| ( minus(X0,n1) = n3 )
| ( minus(X0,n1) = n0 )
| ~ gt(X0,n0)
| ~ leq(minus(X0,n1),n3) ),
inference(superposition,[status(thm)],[c_145,c_87]) ).
tcf(c_7252,plain,
( ( n999 = n2 )
| ( n1 = n999 )
| ( n3 = n999 )
| ( n0 = n999 )
| ~ leq(n999,n3) ),
inference(superposition,[status(thm)],[c_4157,c_87]) ).
tcf(c_7253,plain,
( ( n6 = n2 )
| ( n1 = n6 )
| ( n3 = n6 )
| ( n0 = n6 )
| ~ leq(n6,n3) ),
inference(superposition,[status(thm)],[c_4164,c_87]) ).
tcf(c_7254,plain,
( ( minus(n999,n1) = n2 )
| ( minus(n999,n1) = n1 )
| ( minus(n999,n1) = n3 )
| ( minus(n999,n1) = n0 )
| ~ leq(minus(n999,n1),n3) ),
inference(superposition,[status(thm)],[c_6336,c_87]) ).
tcf(c_7255,plain,
! [X0: $i] :
( ( minus(X0,n1) = n2 )
| ( minus(X0,n1) = n1 )
| ( minus(X0,n1) = n3 )
| ( minus(X0,n1) = n0 )
| ~ gt(X0,pv5)
| ~ leq(minus(X0,n1),n3) ),
inference(superposition,[status(thm)],[c_6339,c_87]) ).
tcf(c_7256,plain,
! [X0: $i] :
( ( plus(n1,X0) = n2 )
| ( plus(n1,X0) = n1 )
| ( plus(n1,X0) = n3 )
| ( plus(n1,X0) = n0 )
| ~ leq(pv5,X0)
| ~ leq(plus(n1,X0),n3) ),
inference(superposition,[status(thm)],[c_6337,c_87]) ).
tcf(c_7329,plain,
( ( pv5 = n4 )
| ( pv5 = n2 )
| ( n1 = pv5 )
| ( n3 = pv5 )
| ( n0 = pv5 )
| ~ leq(pv5,n4) ),
inference(superposition,[status(thm)],[c_69,c_91]) ).
tcf(c_7330,plain,
! [X0: $i] :
( ( plus(n1,X0) = n4 )
| ( plus(n1,X0) = n2 )
| ( plus(n1,X0) = n1 )
| ( plus(n1,X0) = n3 )
| ( plus(n1,X0) = n0 )
| ~ leq(n0,X0)
| ~ leq(plus(n1,X0),n4) ),
inference(superposition,[status(thm)],[c_82,c_91]) ).
tcf(c_7332,plain,
! [X0: $i] :
( ( minus(X0,n1) = n4 )
| ( minus(X0,n1) = n2 )
| ( minus(X0,n1) = n1 )
| ( minus(X0,n1) = n3 )
| ( minus(X0,n1) = n0 )
| ~ gt(X0,n0)
| ~ leq(minus(X0,n1),n4) ),
inference(superposition,[status(thm)],[c_145,c_91]) ).
tcf(c_7335,plain,
( ( n999 = n4 )
| ( n999 = n2 )
| ( n1 = n999 )
| ( n3 = n999 )
| ( n0 = n999 )
| ~ leq(n999,n4) ),
inference(superposition,[status(thm)],[c_4157,c_91]) ).
tcf(c_7336,plain,
( ( n6 = n4 )
| ( n6 = n2 )
| ( n1 = n6 )
| ( n3 = n6 )
| ( n0 = n6 )
| ~ leq(n6,n4) ),
inference(superposition,[status(thm)],[c_4164,c_91]) ).
tcf(c_7337,plain,
( ( minus(n999,n1) = n4 )
| ( minus(n999,n1) = n2 )
| ( minus(n999,n1) = n1 )
| ( minus(n999,n1) = n3 )
| ( minus(n999,n1) = n0 )
| ~ leq(minus(n999,n1),n4) ),
inference(superposition,[status(thm)],[c_6336,c_91]) ).
tcf(c_7338,plain,
! [X0: $i] :
( ( minus(X0,n1) = n4 )
| ( minus(X0,n1) = n2 )
| ( minus(X0,n1) = n1 )
| ( minus(X0,n1) = n3 )
| ( minus(X0,n1) = n0 )
| ~ gt(X0,pv5)
| ~ leq(minus(X0,n1),n4) ),
inference(superposition,[status(thm)],[c_6339,c_91]) ).
tcf(c_7339,plain,
! [X0: $i] :
( ( plus(n1,X0) = n4 )
| ( plus(n1,X0) = n2 )
| ( plus(n1,X0) = n1 )
| ( plus(n1,X0) = n3 )
| ( plus(n1,X0) = n0 )
| ~ leq(pv5,X0)
| ~ leq(plus(n1,X0),n4) ),
inference(superposition,[status(thm)],[c_6337,c_91]) ).
tcf(c_7392,plain,
! [X0: $i] :
( leq(n2,X0)
| ~ leq(n4,X0) ),
inference(superposition,[status(thm)],[c_4170,c_84]) ).
tcf(c_7400,plain,
( ( n1 = n2 )
| ( n0 = n2 )
| ~ leq(n2,n1) ),
inference(superposition,[status(thm)],[c_4171,c_89]) ).
tcf(c_7401,plain,
( ( n0 = n2 )
| ~ leq(n2,n0) ),
inference(superposition,[status(thm)],[c_4171,c_74]) ).
tcf(c_7402,plain,
( ( a_select3(q_ds1_filter,n2,n5) = a_select3(q_ds1_filter,n5,n2) )
| ~ leq(n2,n5) ),
inference(superposition,[status(thm)],[c_4171,c_5428]) ).
tcf(c_7403,plain,
( ( a_select3(pminus_ds1_filter,n2,n5) = a_select3(pminus_ds1_filter,n5,n2) )
| ~ leq(n2,n5) ),
inference(superposition,[status(thm)],[c_4171,c_5392]) ).
tcf(c_7407,plain,
( ( a_select3(q_ds1_filter,pv5,n2) = a_select3(q_ds1_filter,n2,pv5) )
| ~ leq(n2,n5)
| ~ leq(pv5,n5) ),
inference(superposition,[status(thm)],[c_4171,c_4430]) ).
tcf(c_7408,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,X0,n2) = a_select3(q_ds1_filter,n2,X0) )
| ~ leq(n2,n5)
| ~ leq(n0,X0)
| ~ leq(X0,n5) ),
inference(superposition,[status(thm)],[c_4171,c_4281]) ).
tcf(c_7409,plain,
( ( a_select3(pminus_ds1_filter,pv5,n2) = a_select3(pminus_ds1_filter,n2,pv5) )
| ~ leq(n2,n5)
| ~ leq(pv5,n5) ),
inference(superposition,[status(thm)],[c_4171,c_4378]) ).
tcf(c_7410,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,X0,n2) = a_select3(pminus_ds1_filter,n2,X0) )
| ~ leq(n2,n5)
| ~ leq(n0,X0)
| ~ leq(X0,n5) ),
inference(superposition,[status(thm)],[c_4171,c_4280]) ).
tcf(c_7411,plain,
( ( a_select3(r_ds1_filter,pv5,n2) = a_select3(r_ds1_filter,n2,pv5) )
| ~ leq(n2,n2)
| ~ leq(pv5,n2) ),
inference(superposition,[status(thm)],[c_4171,c_4334]) ).
tcf(c_7412,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,X0,n2) = a_select3(r_ds1_filter,n2,X0) )
| ~ leq(n2,n2)
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(superposition,[status(thm)],[c_4171,c_4266]) ).
tcf(c_7413,plain,
! [X0: $i] :
( leq(n0,X0)
| ~ leq(n2,X0) ),
inference(superposition,[status(thm)],[c_4171,c_84]) ).
tcf(c_7424,plain,
a_select3(pminus_ds1_filter,n2,n5) = a_select3(pminus_ds1_filter,n5,n2),
inference(forward_subsumption_resolution,[status(thm)],[c_7403,c_4169]) ).
tcf(c_7425,plain,
a_select3(q_ds1_filter,n2,n5) = a_select3(q_ds1_filter,n5,n2),
inference(forward_subsumption_resolution,[status(thm)],[c_7402,c_4169]) ).
tcf(c_7427,plain,
( ( a_select3(pminus_ds1_filter,pv5,n2) = a_select3(pminus_ds1_filter,n2,pv5) )
| ~ leq(pv5,n5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7409,c_4169]) ).
tcf(c_7430,plain,
( ( a_select3(q_ds1_filter,pv5,n2) = a_select3(q_ds1_filter,n2,pv5) )
| ~ leq(pv5,n5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7407,c_4169]) ).
tcf(c_7434,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,X0,n2) = a_select3(pminus_ds1_filter,n2,X0) )
| ~ leq(n0,X0)
| ~ leq(X0,n5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7410,c_4169]) ).
tcf(c_7438,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,X0,n2) = a_select3(q_ds1_filter,n2,X0) )
| ~ leq(n0,X0)
| ~ leq(X0,n5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7408,c_4169]) ).
tcf(c_7458,plain,
! [X0: $i] :
( leq(tptp_minus_1,X0)
| ~ leq(n2,X0) ),
inference(superposition,[status(thm)],[c_4172,c_84]) ).
tcf(c_7463,plain,
( ( n2 = n4 )
| ( n1 = n4 )
| ( n3 = n4 )
| ( n0 = n4 )
| ~ leq(n4,n3) ),
inference(superposition,[status(thm)],[c_4173,c_87]) ).
tcf(c_7464,plain,
( ( n2 = n4 )
| ( n1 = n4 )
| ( n0 = n4 )
| ~ leq(n4,n2) ),
inference(superposition,[status(thm)],[c_4173,c_88]) ).
tcf(c_7465,plain,
( ( n1 = n4 )
| ( n0 = n4 )
| ~ leq(n4,n1) ),
inference(superposition,[status(thm)],[c_4173,c_89]) ).
tcf(c_7466,plain,
( ( n0 = n4 )
| ~ leq(n4,n0) ),
inference(superposition,[status(thm)],[c_4173,c_74]) ).
tcf(c_7467,plain,
( ( a_select3(q_ds1_filter,n4,n5) = a_select3(q_ds1_filter,n5,n4) )
| ~ leq(n4,n5) ),
inference(superposition,[status(thm)],[c_4173,c_5428]) ).
tcf(c_7468,plain,
( ( a_select3(pminus_ds1_filter,n4,n5) = a_select3(pminus_ds1_filter,n5,n4) )
| ~ leq(n4,n5) ),
inference(superposition,[status(thm)],[c_4173,c_5392]) ).
tcf(c_7469,plain,
( ( a_select3(r_ds1_filter,n2,n4) = a_select3(r_ds1_filter,n4,n2) )
| ~ leq(n4,n2) ),
inference(superposition,[status(thm)],[c_4173,c_5060]) ).
tcf(c_7472,plain,
( ( a_select3(q_ds1_filter,pv5,n4) = a_select3(q_ds1_filter,n4,pv5) )
| ~ leq(n4,n5)
| ~ leq(pv5,n5) ),
inference(superposition,[status(thm)],[c_4173,c_4430]) ).
tcf(c_7473,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,X0,n4) = a_select3(q_ds1_filter,n4,X0) )
| ~ leq(n4,n5)
| ~ leq(n0,X0)
| ~ leq(X0,n5) ),
inference(superposition,[status(thm)],[c_4173,c_4281]) ).
tcf(c_7474,plain,
( ( a_select3(pminus_ds1_filter,pv5,n4) = a_select3(pminus_ds1_filter,n4,pv5) )
| ~ leq(n4,n5)
| ~ leq(pv5,n5) ),
inference(superposition,[status(thm)],[c_4173,c_4378]) ).
tcf(c_7475,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,X0,n4) = a_select3(pminus_ds1_filter,n4,X0) )
| ~ leq(n4,n5)
| ~ leq(n0,X0)
| ~ leq(X0,n5) ),
inference(superposition,[status(thm)],[c_4173,c_4280]) ).
tcf(c_7476,plain,
( ( a_select3(r_ds1_filter,pv5,n4) = a_select3(r_ds1_filter,n4,pv5) )
| ~ leq(n4,n2)
| ~ leq(pv5,n2) ),
inference(superposition,[status(thm)],[c_4173,c_4334]) ).
tcf(c_7477,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,X0,n4) = a_select3(r_ds1_filter,n4,X0) )
| ~ leq(n4,n2)
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(superposition,[status(thm)],[c_4173,c_4266]) ).
tcf(c_7478,plain,
! [X0: $i] :
( leq(n0,X0)
| ~ leq(n4,X0) ),
inference(superposition,[status(thm)],[c_4173,c_84]) ).
tcf(c_7632,plain,
( ( a_select3(q_ds1_filter,pv5,n4) = a_select3(q_ds1_filter,n4,pv5) )
| ~ leq(pv5,n5) ),
inference(global_subsumption_just,[status(thm)],[c_7472,c_4175,c_7472]) ).
tcf(c_7659,plain,
( ( pv5 = n5 )
| ( pv5 = n4 )
| ( pv5 = n2 )
| ( n1 = pv5 )
| ( n3 = pv5 )
| ( n0 = pv5 )
| ~ leq(pv5,n5) ),
inference(superposition,[status(thm)],[c_69,c_90]) ).
tcf(c_7660,plain,
! [X0: $i] :
( ( plus(n1,X0) = n5 )
| ( plus(n1,X0) = n4 )
| ( plus(n1,X0) = n2 )
| ( plus(n1,X0) = n1 )
| ( plus(n1,X0) = n3 )
| ( plus(n1,X0) = n0 )
| ~ leq(n0,X0)
| ~ leq(plus(n1,X0),n5) ),
inference(superposition,[status(thm)],[c_82,c_90]) ).
tcf(c_7662,plain,
! [X0: $i] :
( ( minus(X0,n1) = n5 )
| ( minus(X0,n1) = n4 )
| ( minus(X0,n1) = n2 )
| ( minus(X0,n1) = n1 )
| ( minus(X0,n1) = n3 )
| ( minus(X0,n1) = n0 )
| ~ gt(X0,n0)
| ~ leq(minus(X0,n1),n5) ),
inference(superposition,[status(thm)],[c_145,c_90]) ).
tcf(c_7665,plain,
( ( n999 = n5 )
| ( n999 = n4 )
| ( n999 = n2 )
| ( n1 = n999 )
| ( n3 = n999 )
| ( n0 = n999 )
| ~ leq(n999,n5) ),
inference(superposition,[status(thm)],[c_4157,c_90]) ).
tcf(c_7666,plain,
( ( n6 = n5 )
| ( n6 = n4 )
| ( n6 = n2 )
| ( n1 = n6 )
| ( n3 = n6 )
| ( n0 = n6 )
| ~ leq(n6,n5) ),
inference(superposition,[status(thm)],[c_4164,c_90]) ).
tcf(c_7669,plain,
( ( minus(n999,n1) = n5 )
| ( minus(n999,n1) = n4 )
| ( minus(n999,n1) = n2 )
| ( minus(n999,n1) = n1 )
| ( minus(n999,n1) = n3 )
| ( minus(n999,n1) = n0 )
| ~ leq(minus(n999,n1),n5) ),
inference(superposition,[status(thm)],[c_6336,c_90]) ).
tcf(c_7670,plain,
! [X0: $i] :
( ( minus(X0,n1) = n5 )
| ( minus(X0,n1) = n4 )
| ( minus(X0,n1) = n2 )
| ( minus(X0,n1) = n1 )
| ( minus(X0,n1) = n3 )
| ( minus(X0,n1) = n0 )
| ~ gt(X0,pv5)
| ~ leq(minus(X0,n1),n5) ),
inference(superposition,[status(thm)],[c_6339,c_90]) ).
tcf(c_7671,plain,
! [X0: $i] :
( ( plus(n1,X0) = n5 )
| ( plus(n1,X0) = n4 )
| ( plus(n1,X0) = n2 )
| ( plus(n1,X0) = n1 )
| ( plus(n1,X0) = n3 )
| ( plus(n1,X0) = n0 )
| ~ leq(pv5,X0)
| ~ leq(plus(n1,X0),n5) ),
inference(superposition,[status(thm)],[c_6337,c_90]) ).
tcf(c_7764,plain,
( ( pv5 = n5 )
| ( pv5 = n4 )
| ( pv5 = n2 )
| ( n6 = pv5 )
| ( n1 = pv5 )
| ( n3 = pv5 )
| ( n0 = pv5 )
| ~ leq(pv5,n6) ),
inference(superposition,[status(thm)],[c_69,c_98]) ).
tcf(c_7765,plain,
! [X0: $i] :
( ( plus(n1,X0) = n5 )
| ( plus(n1,X0) = n4 )
| ( plus(n1,X0) = n2 )
| ( plus(n1,X0) = n6 )
| ( plus(n1,X0) = n1 )
| ( plus(n1,X0) = n3 )
| ( plus(n1,X0) = n0 )
| ~ leq(n0,X0)
| ~ leq(plus(n1,X0),n6) ),
inference(superposition,[status(thm)],[c_82,c_98]) ).
tcf(c_7767,plain,
! [X0: $i] :
( ( minus(X0,n1) = n5 )
| ( minus(X0,n1) = n4 )
| ( minus(X0,n1) = n2 )
| ( minus(X0,n1) = n6 )
| ( minus(X0,n1) = n1 )
| ( minus(X0,n1) = n3 )
| ( minus(X0,n1) = n0 )
| ~ gt(X0,n0)
| ~ leq(minus(X0,n1),n6) ),
inference(superposition,[status(thm)],[c_145,c_98]) ).
tcf(c_7770,plain,
( ( n999 = n5 )
| ( n999 = n4 )
| ( n999 = n2 )
| ( n6 = n999 )
| ( n1 = n999 )
| ( n3 = n999 )
| ( n0 = n999 )
| ~ leq(n999,n6) ),
inference(superposition,[status(thm)],[c_4157,c_98]) ).
tcf(c_7774,plain,
( ( minus(n999,n1) = n5 )
| ( minus(n999,n1) = n4 )
| ( minus(n999,n1) = n2 )
| ( minus(n999,n1) = n6 )
| ( minus(n999,n1) = n1 )
| ( minus(n999,n1) = n3 )
| ( minus(n999,n1) = n0 )
| ~ leq(minus(n999,n1),n6) ),
inference(superposition,[status(thm)],[c_6336,c_98]) ).
tcf(c_7775,plain,
! [X0: $i] :
( ( minus(X0,n1) = n5 )
| ( minus(X0,n1) = n4 )
| ( minus(X0,n1) = n2 )
| ( minus(X0,n1) = n6 )
| ( minus(X0,n1) = n1 )
| ( minus(X0,n1) = n3 )
| ( minus(X0,n1) = n0 )
| ~ gt(X0,pv5)
| ~ leq(minus(X0,n1),n6) ),
inference(superposition,[status(thm)],[c_6339,c_98]) ).
tcf(c_7776,plain,
! [X0: $i] :
( ( plus(n1,X0) = n5 )
| ( plus(n1,X0) = n4 )
| ( plus(n1,X0) = n2 )
| ( plus(n1,X0) = n6 )
| ( plus(n1,X0) = n1 )
| ( plus(n1,X0) = n3 )
| ( plus(n1,X0) = n0 )
| ~ leq(pv5,X0)
| ~ leq(plus(n1,X0),n6) ),
inference(superposition,[status(thm)],[c_6337,c_98]) ).
tcf(c_7858,plain,
! [X0: $i] :
( leq(tptp_minus_1,X0)
| ~ leq(n4,X0) ),
inference(superposition,[status(thm)],[c_4174,c_84]) ).
tcf(c_7893,plain,
! [X0: $i] :
( leq(n4,X0)
| ~ leq(n5,X0) ),
inference(superposition,[status(thm)],[c_4175,c_84]) ).
tcf(c_7900,plain,
( ( n4 = n5 )
| ( n2 = n5 )
| ( n1 = n5 )
| ( n3 = n5 )
| ( n0 = n5 )
| ~ leq(n5,n4) ),
inference(superposition,[status(thm)],[c_4176,c_91]) ).
tcf(c_7901,plain,
( ( n2 = n5 )
| ( n1 = n5 )
| ( n3 = n5 )
| ( n0 = n5 )
| ~ leq(n5,n3) ),
inference(superposition,[status(thm)],[c_4176,c_87]) ).
tcf(c_7902,plain,
( ( n2 = n5 )
| ( n1 = n5 )
| ( n0 = n5 )
| ~ leq(n5,n2) ),
inference(superposition,[status(thm)],[c_4176,c_88]) ).
tcf(c_7903,plain,
( ( n1 = n5 )
| ( n0 = n5 )
| ~ leq(n5,n1) ),
inference(superposition,[status(thm)],[c_4176,c_89]) ).
tcf(c_7904,plain,
( ( n0 = n5 )
| ~ leq(n5,n0) ),
inference(superposition,[status(thm)],[c_4176,c_74]) ).
tcf(c_7907,plain,
( ( a_select3(r_ds1_filter,n2,n5) = a_select3(r_ds1_filter,n5,n2) )
| ~ leq(n5,n2) ),
inference(superposition,[status(thm)],[c_4176,c_5060]) ).
tcf(c_7910,plain,
( ( a_select3(q_ds1_filter,pv5,n5) = a_select3(q_ds1_filter,n5,pv5) )
| ~ leq(n5,n5)
| ~ leq(pv5,n5) ),
inference(superposition,[status(thm)],[c_4176,c_4430]) ).
tcf(c_7911,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,X0,n5) = a_select3(q_ds1_filter,n5,X0) )
| ~ leq(n5,n5)
| ~ leq(n0,X0)
| ~ leq(X0,n5) ),
inference(superposition,[status(thm)],[c_4176,c_4281]) ).
tcf(c_7912,plain,
( ( a_select3(pminus_ds1_filter,pv5,n5) = a_select3(pminus_ds1_filter,n5,pv5) )
| ~ leq(n5,n5)
| ~ leq(pv5,n5) ),
inference(superposition,[status(thm)],[c_4176,c_4378]) ).
tcf(c_7913,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,X0,n5) = a_select3(pminus_ds1_filter,n5,X0) )
| ~ leq(n5,n5)
| ~ leq(n0,X0)
| ~ leq(X0,n5) ),
inference(superposition,[status(thm)],[c_4176,c_4280]) ).
tcf(c_7914,plain,
( ( a_select3(r_ds1_filter,pv5,n5) = a_select3(r_ds1_filter,n5,pv5) )
| ~ leq(n5,n2)
| ~ leq(pv5,n2) ),
inference(superposition,[status(thm)],[c_4176,c_4334]) ).
tcf(c_7915,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,X0,n5) = a_select3(r_ds1_filter,n5,X0) )
| ~ leq(n5,n2)
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(superposition,[status(thm)],[c_4176,c_4266]) ).
tcf(c_7916,plain,
! [X0: $i] :
( leq(n0,X0)
| ~ leq(n5,X0) ),
inference(superposition,[status(thm)],[c_4176,c_84]) ).
tcf(c_7998,plain,
! [X0: $i] :
( leq(tptp_minus_1,X0)
| ~ leq(n5,X0) ),
inference(superposition,[status(thm)],[c_4177,c_84]) ).
tcf(c_8013,plain,
! [X0: $i] :
( leq(tptp_minus_1,X0)
| ~ leq(n1,X0) ),
inference(superposition,[status(thm)],[c_4178,c_84]) ).
tcf(c_8029,plain,
! [X0: $i] :
( leq(tptp_minus_1,X0)
| ~ leq(n0,X0) ),
inference(superposition,[status(thm)],[c_4179,c_84]) ).
tcf(c_8063,plain,
( ( a_select3(pminus_ds1_filter,pv5,n4) = a_select3(pminus_ds1_filter,n4,pv5) )
| ~ leq(pv5,n5) ),
inference(global_subsumption_just,[status(thm)],[c_7474,c_4175,c_7474]) ).
tcf(c_8568,plain,
! [X0: $i] : leq(X0,plus(X0,n1)),
inference(superposition,[status(thm)],[c_151,c_4168]) ).
tcf(c_8570,plain,
! [X0: $i] : leq(plus(n1,X0),plus(X0,n2)),
inference(superposition,[status(thm)],[c_150,c_4168]) ).
tcf(c_8571,plain,
! [X0: $i] : leq(plus(n1,X0),plus(n2,X0)),
inference(superposition,[status(thm)],[c_149,c_4168]) ).
tcf(c_8573,plain,
! [X0: $i] : leq(minus(X0,n1),X0),
inference(superposition,[status(thm)],[c_143,c_4168]) ).
tcf(c_8579,plain,
! [X0: $i] : leq(plus(n2,X0),plus(X0,n3)),
inference(superposition,[status(thm)],[c_959,c_4168]) ).
tcf(c_8580,plain,
! [X0: $i] : leq(plus(X0,n3),plus(X0,n4)),
inference(superposition,[status(thm)],[c_989,c_4168]) ).
tcf(c_8581,plain,
! [X0: $i] : leq(plus(X0,n4),plus(X0,n5)),
inference(superposition,[status(thm)],[c_991,c_4168]) ).
tcf(c_8582,plain,
! [X0: $i] : leq(plus(n3,X0),plus(X0,n4)),
inference(superposition,[status(thm)],[c_4026,c_4168]) ).
tcf(c_8589,plain,
( ( plus(n1,n0) = n0 )
| ~ leq(plus(n1,n0),n0) ),
inference(superposition,[status(thm)],[c_4168,c_74]) ).
tcf(c_8590,plain,
( ( a_select3(q_ds1_filter,plus(n1,n0),n5) = a_select3(q_ds1_filter,n5,plus(n1,n0)) )
| ~ leq(plus(n1,n0),n5) ),
inference(superposition,[status(thm)],[c_4168,c_5428]) ).
tcf(c_8591,plain,
( ( a_select3(pminus_ds1_filter,plus(n1,n0),n5) = a_select3(pminus_ds1_filter,n5,plus(n1,n0)) )
| ~ leq(plus(n1,n0),n5) ),
inference(superposition,[status(thm)],[c_4168,c_5392]) ).
tcf(c_8592,plain,
( ( a_select3(r_ds1_filter,plus(n1,n0),n2) = a_select3(r_ds1_filter,n2,plus(n1,n0)) )
| ~ leq(plus(n1,n0),n2) ),
inference(superposition,[status(thm)],[c_4168,c_5060]) ).
tcf(c_8595,plain,
( ( a_select3(q_ds1_filter,plus(n1,n0),pv5) = a_select3(q_ds1_filter,pv5,plus(n1,n0)) )
| ~ leq(pv5,n5)
| ~ leq(plus(n1,n0),n5) ),
inference(superposition,[status(thm)],[c_4168,c_4430]) ).
tcf(c_8596,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,plus(n1,n0),X0) = a_select3(q_ds1_filter,X0,plus(n1,n0)) )
| ~ leq(n0,X0)
| ~ leq(X0,n5)
| ~ leq(plus(n1,n0),n5) ),
inference(superposition,[status(thm)],[c_4168,c_4281]) ).
tcf(c_8597,plain,
( ( a_select3(pminus_ds1_filter,plus(n1,n0),pv5) = a_select3(pminus_ds1_filter,pv5,plus(n1,n0)) )
| ~ leq(pv5,n5)
| ~ leq(plus(n1,n0),n5) ),
inference(superposition,[status(thm)],[c_4168,c_4378]) ).
tcf(c_8598,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,plus(n1,n0),X0) = a_select3(pminus_ds1_filter,X0,plus(n1,n0)) )
| ~ leq(n0,X0)
| ~ leq(X0,n5)
| ~ leq(plus(n1,n0),n5) ),
inference(superposition,[status(thm)],[c_4168,c_4280]) ).
tcf(c_8599,plain,
( ( a_select3(r_ds1_filter,plus(n1,n0),pv5) = a_select3(r_ds1_filter,pv5,plus(n1,n0)) )
| ~ leq(pv5,n2)
| ~ leq(plus(n1,n0),n2) ),
inference(superposition,[status(thm)],[c_4168,c_4334]) ).
tcf(c_8600,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,plus(n1,n0),X0) = a_select3(r_ds1_filter,X0,plus(n1,n0)) )
| ~ leq(n0,X0)
| ~ leq(X0,n2)
| ~ leq(plus(n1,n0),n2) ),
inference(superposition,[status(thm)],[c_4168,c_4266]) ).
tcf(c_8603,plain,
! [X0: $i] : gt(plus(n1,plus(n1,X0)),X0),
inference(superposition,[status(thm)],[c_4168,c_77]) ).
tcf(c_8605,plain,
leq(n0,plus(n1,pv5)),
inference(superposition,[status(thm)],[c_4168,c_5892]) ).
tcf(c_8606,plain,
leq(pv5,plus(n1,plus(n1,minus(n999,n1)))),
inference(superposition,[status(thm)],[c_4168,c_6447]) ).
tcf(c_8607,plain,
leq(n0,plus(n1,minus(n999,n1))),
inference(superposition,[status(thm)],[c_4168,c_6358]) ).
tcf(c_8609,plain,
! [X0: $i] : gt(plus(n2,X0),X0),
inference(light_normalisation,[status(thm)],[c_8603,c_149]) ).
tcf(c_8688,plain,
! [X0: $i,X1: $i] :
( gt(X0,X1)
| ~ gt(minus(X0,n1),X1) ),
inference(superposition,[status(thm)],[c_4253,c_122]) ).
tcf(c_8690,plain,
! [X0: $i] : leq(minus(plus(n1,X0),n1),X0),
inference(superposition,[status(thm)],[c_4253,c_80]) ).
tcf(c_8691,plain,
( gt(pv5,minus(n0,n1))
| ( n0 = pv5 ) ),
inference(superposition,[status(thm)],[c_4253,c_6084]) ).
tcf(c_8692,plain,
gt(n999,minus(pv5,n1)),
inference(superposition,[status(thm)],[c_4253,c_6083]) ).
tcf(c_8710,plain,
gt(plus(n1,n4),n4),
inference(superposition,[status(thm)],[c_990,c_4319]) ).
tcf(c_8711,plain,
gt(plus(n1,n5),n5),
inference(superposition,[status(thm)],[c_992,c_4319]) ).
tcf(c_8712,plain,
gt(plus(n1,n3),n3),
inference(superposition,[status(thm)],[c_960,c_4319]) ).
tcf(c_8715,plain,
! [X0: $i,X1: $i] :
( gt(plus(X0,n1),X1)
| ~ gt(X0,X1) ),
inference(superposition,[status(thm)],[c_4319,c_122]) ).
tcf(c_8717,plain,
leq(n1,n1),
inference(superposition,[status(thm)],[c_4319,c_80]) ).
tcf(c_8718,plain,
leq(pv5,minus(plus(minus(n999,n1),n1),n1)),
inference(superposition,[status(thm)],[c_4319,c_6449]) ).
tcf(c_8735,plain,
leq(n4,plus(n1,n4)),
inference(superposition,[status(thm)],[c_990,c_8568]) ).
tcf(c_8736,plain,
leq(n5,plus(n1,n5)),
inference(superposition,[status(thm)],[c_992,c_8568]) ).
tcf(c_8737,plain,
leq(n3,plus(n1,n3)),
inference(superposition,[status(thm)],[c_960,c_8568]) ).
tcf(c_8740,plain,
( ( plus(n0,n1) = n5 )
| ( plus(n0,n1) = n4 )
| ( plus(n0,n1) = n2 )
| ( plus(n0,n1) = n6 )
| ( plus(n0,n1) = n1 )
| ( plus(n0,n1) = n3 )
| ( plus(n0,n1) = n0 )
| ~ leq(plus(n0,n1),n6) ),
inference(superposition,[status(thm)],[c_8568,c_98]) ).
tcf(c_8741,plain,
( ( plus(n0,n1) = n5 )
| ( plus(n0,n1) = n4 )
| ( plus(n0,n1) = n2 )
| ( plus(n0,n1) = n1 )
| ( plus(n0,n1) = n3 )
| ( plus(n0,n1) = n0 )
| ~ leq(plus(n0,n1),n5) ),
inference(superposition,[status(thm)],[c_8568,c_90]) ).
tcf(c_8742,plain,
( ( plus(n0,n1) = n4 )
| ( plus(n0,n1) = n2 )
| ( plus(n0,n1) = n1 )
| ( plus(n0,n1) = n3 )
| ( plus(n0,n1) = n0 )
| ~ leq(plus(n0,n1),n4) ),
inference(superposition,[status(thm)],[c_8568,c_91]) ).
tcf(c_8743,plain,
( ( plus(n0,n1) = n2 )
| ( plus(n0,n1) = n1 )
| ( plus(n0,n1) = n3 )
| ( plus(n0,n1) = n0 )
| ~ leq(plus(n0,n1),n3) ),
inference(superposition,[status(thm)],[c_8568,c_87]) ).
tcf(c_8744,plain,
( ( plus(n0,n1) = n2 )
| ( plus(n0,n1) = n1 )
| ( plus(n0,n1) = n0 )
| ~ leq(plus(n0,n1),n2) ),
inference(superposition,[status(thm)],[c_8568,c_88]) ).
tcf(c_8745,plain,
( ( plus(n0,n1) = n1 )
| ( plus(n0,n1) = n0 )
| ~ leq(plus(n0,n1),n1) ),
inference(superposition,[status(thm)],[c_8568,c_89]) ).
tcf(c_8746,plain,
( ( plus(n0,n1) = n0 )
| ~ leq(plus(n0,n1),n0) ),
inference(superposition,[status(thm)],[c_8568,c_74]) ).
tcf(c_8747,plain,
( ( a_select3(q_ds1_filter,plus(n0,n1),n5) = a_select3(q_ds1_filter,n5,plus(n0,n1)) )
| ~ leq(plus(n0,n1),n5) ),
inference(superposition,[status(thm)],[c_8568,c_5428]) ).
tcf(c_8748,plain,
( ( a_select3(pminus_ds1_filter,plus(n0,n1),n5) = a_select3(pminus_ds1_filter,n5,plus(n0,n1)) )
| ~ leq(plus(n0,n1),n5) ),
inference(superposition,[status(thm)],[c_8568,c_5392]) ).
tcf(c_8749,plain,
( ( a_select3(r_ds1_filter,plus(n0,n1),n2) = a_select3(r_ds1_filter,n2,plus(n0,n1)) )
| ~ leq(plus(n0,n1),n2) ),
inference(superposition,[status(thm)],[c_8568,c_5060]) ).
tcf(c_8752,plain,
( ( a_select3(q_ds1_filter,plus(n0,n1),pv5) = a_select3(q_ds1_filter,pv5,plus(n0,n1)) )
| ~ leq(pv5,n5)
| ~ leq(plus(n0,n1),n5) ),
inference(superposition,[status(thm)],[c_8568,c_4430]) ).
tcf(c_8753,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,plus(n0,n1),X0) = a_select3(q_ds1_filter,X0,plus(n0,n1)) )
| ~ leq(n0,X0)
| ~ leq(X0,n5)
| ~ leq(plus(n0,n1),n5) ),
inference(superposition,[status(thm)],[c_8568,c_4281]) ).
tcf(c_8754,plain,
( ( a_select3(pminus_ds1_filter,plus(n0,n1),pv5) = a_select3(pminus_ds1_filter,pv5,plus(n0,n1)) )
| ~ leq(pv5,n5)
| ~ leq(plus(n0,n1),n5) ),
inference(superposition,[status(thm)],[c_8568,c_4378]) ).
tcf(c_8755,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,plus(n0,n1),X0) = a_select3(pminus_ds1_filter,X0,plus(n0,n1)) )
| ~ leq(n0,X0)
| ~ leq(X0,n5)
| ~ leq(plus(n0,n1),n5) ),
inference(superposition,[status(thm)],[c_8568,c_4280]) ).
tcf(c_8756,plain,
( ( a_select3(r_ds1_filter,plus(n0,n1),pv5) = a_select3(r_ds1_filter,pv5,plus(n0,n1)) )
| ~ leq(pv5,n2)
| ~ leq(plus(n0,n1),n2) ),
inference(superposition,[status(thm)],[c_8568,c_4334]) ).
tcf(c_8757,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,plus(n0,n1),X0) = a_select3(r_ds1_filter,X0,plus(n0,n1)) )
| ~ leq(n0,X0)
| ~ leq(X0,n2)
| ~ leq(plus(n0,n1),n2) ),
inference(superposition,[status(thm)],[c_8568,c_4266]) ).
tcf(c_8758,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ~ leq(plus(X0,n1),X1) ),
inference(superposition,[status(thm)],[c_8568,c_84]) ).
tcf(c_8760,plain,
! [X0: $i] : gt(plus(plus(n1,X0),n1),X0),
inference(superposition,[status(thm)],[c_8568,c_77]) ).
tcf(c_8761,plain,
leq(n0,plus(pv5,n1)),
inference(superposition,[status(thm)],[c_8568,c_5892]) ).
tcf(c_8762,plain,
leq(pv5,plus(n1,plus(minus(n999,n1),n1))),
inference(superposition,[status(thm)],[c_8568,c_6447]) ).
tcf(c_8763,plain,
leq(n0,plus(minus(n999,n1),n1)),
inference(superposition,[status(thm)],[c_8568,c_6358]) ).
tcf(c_8764,plain,
leq(pv5,plus(minus(n999,n1),n1)),
inference(superposition,[status(thm)],[c_8568,c_5893]) ).
tcf(c_8958,plain,
( ( plus(n1,pv5) = n5 )
| ( plus(n1,pv5) = n4 )
| ( plus(n1,pv5) = n2 )
| ( plus(n1,pv5) = n6 )
| ( plus(n1,pv5) = n1 )
| ( plus(n1,pv5) = n3 )
| ( plus(n1,pv5) = n0 )
| ~ leq(plus(n1,pv5),n6) ),
inference(superposition,[status(thm)],[c_8605,c_98]) ).
tcf(c_8959,plain,
( ( plus(n1,pv5) = n5 )
| ( plus(n1,pv5) = n4 )
| ( plus(n1,pv5) = n2 )
| ( plus(n1,pv5) = n1 )
| ( plus(n1,pv5) = n3 )
| ( plus(n1,pv5) = n0 )
| ~ leq(plus(n1,pv5),n5) ),
inference(superposition,[status(thm)],[c_8605,c_90]) ).
tcf(c_8960,plain,
( ( plus(n1,pv5) = n4 )
| ( plus(n1,pv5) = n2 )
| ( plus(n1,pv5) = n1 )
| ( plus(n1,pv5) = n3 )
| ( plus(n1,pv5) = n0 )
| ~ leq(plus(n1,pv5),n4) ),
inference(superposition,[status(thm)],[c_8605,c_91]) ).
tcf(c_8961,plain,
( ( plus(n1,pv5) = n2 )
| ( plus(n1,pv5) = n1 )
| ( plus(n1,pv5) = n3 )
| ( plus(n1,pv5) = n0 )
| ~ leq(plus(n1,pv5),n3) ),
inference(superposition,[status(thm)],[c_8605,c_87]) ).
tcf(c_8962,plain,
( ( plus(n1,pv5) = n2 )
| ( plus(n1,pv5) = n1 )
| ( plus(n1,pv5) = n0 )
| ~ leq(plus(n1,pv5),n2) ),
inference(superposition,[status(thm)],[c_8605,c_88]) ).
tcf(c_8963,plain,
( ( plus(n1,pv5) = n1 )
| ( plus(n1,pv5) = n0 )
| ~ leq(plus(n1,pv5),n1) ),
inference(superposition,[status(thm)],[c_8605,c_89]) ).
tcf(c_8964,plain,
( ( plus(n1,pv5) = n0 )
| ~ leq(plus(n1,pv5),n0) ),
inference(superposition,[status(thm)],[c_8605,c_74]) ).
tcf(c_8965,plain,
( ( a_select3(q_ds1_filter,plus(n1,pv5),n5) = a_select3(q_ds1_filter,n5,plus(n1,pv5)) )
| ~ leq(plus(n1,pv5),n5) ),
inference(superposition,[status(thm)],[c_8605,c_5428]) ).
tcf(c_8966,plain,
( ( a_select3(pminus_ds1_filter,plus(n1,pv5),n5) = a_select3(pminus_ds1_filter,n5,plus(n1,pv5)) )
| ~ leq(plus(n1,pv5),n5) ),
inference(superposition,[status(thm)],[c_8605,c_5392]) ).
tcf(c_8967,plain,
( ( a_select3(r_ds1_filter,plus(n1,pv5),n2) = a_select3(r_ds1_filter,n2,plus(n1,pv5)) )
| ~ leq(plus(n1,pv5),n2) ),
inference(superposition,[status(thm)],[c_8605,c_5060]) ).
tcf(c_8970,plain,
( ( a_select3(q_ds1_filter,plus(n1,pv5),pv5) = a_select3(q_ds1_filter,pv5,plus(n1,pv5)) )
| ~ leq(pv5,n5)
| ~ leq(plus(n1,pv5),n5) ),
inference(superposition,[status(thm)],[c_8605,c_4430]) ).
tcf(c_8971,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,plus(n1,pv5),X0) = a_select3(q_ds1_filter,X0,plus(n1,pv5)) )
| ~ leq(n0,X0)
| ~ leq(X0,n5)
| ~ leq(plus(n1,pv5),n5) ),
inference(superposition,[status(thm)],[c_8605,c_4281]) ).
tcf(c_8972,plain,
( ( a_select3(pminus_ds1_filter,plus(n1,pv5),pv5) = a_select3(pminus_ds1_filter,pv5,plus(n1,pv5)) )
| ~ leq(pv5,n5)
| ~ leq(plus(n1,pv5),n5) ),
inference(superposition,[status(thm)],[c_8605,c_4378]) ).
tcf(c_8973,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,plus(n1,pv5),X0) = a_select3(pminus_ds1_filter,X0,plus(n1,pv5)) )
| ~ leq(n0,X0)
| ~ leq(X0,n5)
| ~ leq(plus(n1,pv5),n5) ),
inference(superposition,[status(thm)],[c_8605,c_4280]) ).
tcf(c_8974,plain,
( ( a_select3(r_ds1_filter,plus(n1,pv5),pv5) = a_select3(r_ds1_filter,pv5,plus(n1,pv5)) )
| ~ leq(pv5,n2)
| ~ leq(plus(n1,pv5),n2) ),
inference(superposition,[status(thm)],[c_8605,c_4334]) ).
tcf(c_8975,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,plus(n1,pv5),X0) = a_select3(r_ds1_filter,X0,plus(n1,pv5)) )
| ~ leq(n0,X0)
| ~ leq(X0,n2)
| ~ leq(plus(n1,pv5),n2) ),
inference(superposition,[status(thm)],[c_8605,c_4266]) ).
tcf(c_8976,plain,
! [X0: $i] :
( leq(n0,X0)
| ~ leq(plus(n1,pv5),X0) ),
inference(superposition,[status(thm)],[c_8605,c_84]) ).
tcf(c_8977,plain,
( gt(plus(n1,pv5),n0)
| ( plus(n1,pv5) = n0 ) ),
inference(superposition,[status(thm)],[c_8605,c_75]) ).
tcf(c_9107,plain,
! [X0: $i,X1: $i] :
( leq(minus(X0,n1),X1)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_8573,c_84]) ).
tcf(c_9110,plain,
! [X0: $i] : gt(X0,minus(minus(X0,n1),n1)),
inference(superposition,[status(thm)],[c_8573,c_146]) ).
tcf(c_9111,plain,
leq(pv5,plus(n1,n999)),
inference(superposition,[status(thm)],[c_8573,c_6447]) ).
tcf(c_9117,plain,
gt(plus(n3,n2),n3),
inference(superposition,[status(thm)],[c_960,c_8609]) ).
tcf(c_9118,plain,
gt(plus(n1,n2),n1),
inference(superposition,[status(thm)],[c_151,c_8609]) ).
tcf(c_9119,plain,
! [X0: $i,X1: $i] :
( gt(plus(n2,X0),X1)
| ~ gt(X0,X1) ),
inference(superposition,[status(thm)],[c_8609,c_122]) ).
tcf(c_9120,plain,
! [X0: $i] : leq(X0,plus(n2,X0)),
inference(superposition,[status(thm)],[c_8609,c_83]) ).
tcf(c_9121,plain,
leq(pv5,minus(plus(n2,minus(n999,n1)),n1)),
inference(superposition,[status(thm)],[c_8609,c_6449]) ).
tcf(c_9129,plain,
leq(n3,plus(n3,n2)),
inference(superposition,[status(thm)],[c_960,c_9120]) ).
tcf(c_9130,plain,
leq(n1,plus(n1,n2)),
inference(superposition,[status(thm)],[c_151,c_9120]) ).
tcf(c_9136,plain,
( ( plus(n2,n0) = n1 )
| ( plus(n2,n0) = n0 )
| ~ leq(plus(n2,n0),n1) ),
inference(superposition,[status(thm)],[c_9120,c_89]) ).
tcf(c_9137,plain,
( ( plus(n2,n0) = n0 )
| ~ leq(plus(n2,n0),n0) ),
inference(superposition,[status(thm)],[c_9120,c_74]) ).
tcf(c_9138,plain,
( ( a_select3(q_ds1_filter,plus(n2,n0),n5) = a_select3(q_ds1_filter,n5,plus(n2,n0)) )
| ~ leq(plus(n2,n0),n5) ),
inference(superposition,[status(thm)],[c_9120,c_5428]) ).
tcf(c_9139,plain,
( ( a_select3(pminus_ds1_filter,plus(n2,n0),n5) = a_select3(pminus_ds1_filter,n5,plus(n2,n0)) )
| ~ leq(plus(n2,n0),n5) ),
inference(superposition,[status(thm)],[c_9120,c_5392]) ).
tcf(c_9140,plain,
( ( a_select3(r_ds1_filter,plus(n2,n0),n2) = a_select3(r_ds1_filter,n2,plus(n2,n0)) )
| ~ leq(plus(n2,n0),n2) ),
inference(superposition,[status(thm)],[c_9120,c_5060]) ).
tcf(c_9143,plain,
( ( a_select3(q_ds1_filter,plus(n2,n0),pv5) = a_select3(q_ds1_filter,pv5,plus(n2,n0)) )
| ~ leq(pv5,n5)
| ~ leq(plus(n2,n0),n5) ),
inference(superposition,[status(thm)],[c_9120,c_4430]) ).
tcf(c_9144,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,plus(n2,n0),X0) = a_select3(q_ds1_filter,X0,plus(n2,n0)) )
| ~ leq(n0,X0)
| ~ leq(X0,n5)
| ~ leq(plus(n2,n0),n5) ),
inference(superposition,[status(thm)],[c_9120,c_4281]) ).
tcf(c_9145,plain,
( ( a_select3(pminus_ds1_filter,plus(n2,n0),pv5) = a_select3(pminus_ds1_filter,pv5,plus(n2,n0)) )
| ~ leq(pv5,n5)
| ~ leq(plus(n2,n0),n5) ),
inference(superposition,[status(thm)],[c_9120,c_4378]) ).
tcf(c_9146,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,plus(n2,n0),X0) = a_select3(pminus_ds1_filter,X0,plus(n2,n0)) )
| ~ leq(n0,X0)
| ~ leq(X0,n5)
| ~ leq(plus(n2,n0),n5) ),
inference(superposition,[status(thm)],[c_9120,c_4280]) ).
tcf(c_9147,plain,
( ( a_select3(r_ds1_filter,plus(n2,n0),pv5) = a_select3(r_ds1_filter,pv5,plus(n2,n0)) )
| ~ leq(pv5,n2)
| ~ leq(plus(n2,n0),n2) ),
inference(superposition,[status(thm)],[c_9120,c_4334]) ).
tcf(c_9148,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,plus(n2,n0),X0) = a_select3(r_ds1_filter,X0,plus(n2,n0)) )
| ~ leq(n0,X0)
| ~ leq(X0,n2)
| ~ leq(plus(n2,n0),n2) ),
inference(superposition,[status(thm)],[c_9120,c_4266]) ).
tcf(c_9149,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ~ leq(plus(n2,X0),X1) ),
inference(superposition,[status(thm)],[c_9120,c_84]) ).
tcf(c_9151,plain,
! [X0: $i] : gt(plus(n2,plus(n1,X0)),X0),
inference(superposition,[status(thm)],[c_9120,c_77]) ).
tcf(c_9152,plain,
leq(n0,plus(n2,pv5)),
inference(superposition,[status(thm)],[c_9120,c_5892]) ).
tcf(c_9153,plain,
leq(pv5,plus(n1,plus(n2,minus(n999,n1)))),
inference(superposition,[status(thm)],[c_9120,c_6447]) ).
tcf(c_9154,plain,
leq(n0,plus(n2,minus(n999,n1))),
inference(superposition,[status(thm)],[c_9120,c_6358]) ).
tcf(c_9155,plain,
leq(pv5,plus(n2,minus(n999,n1))),
inference(superposition,[status(thm)],[c_9120,c_5893]) ).
tcf(c_9158,plain,
! [X0: $i] : gt(plus(X0,n3),X0),
inference(light_normalisation,[status(thm)],[c_9151,c_5158]) ).
tcf(c_9224,plain,
! [X0: $i] : gt(plus(n3,X0),X0),
inference(superposition,[status(thm)],[c_960,c_9158]) ).
tcf(c_9226,plain,
! [X0: $i,X1: $i] :
( gt(plus(X0,n3),X1)
| ~ gt(X0,X1) ),
inference(superposition,[status(thm)],[c_9158,c_122]) ).
tcf(c_9227,plain,
! [X0: $i] : leq(X0,plus(X0,n3)),
inference(superposition,[status(thm)],[c_9158,c_83]) ).
tcf(c_9229,plain,
leq(pv5,minus(plus(minus(n999,n1),n3),n1)),
inference(superposition,[status(thm)],[c_9158,c_6449]) ).
tcf(c_9234,plain,
! [X0: $i] :
( gt(n999,X0)
| ~ gt(minus(pv5,n1),X0) ),
inference(superposition,[status(thm)],[c_8692,c_122]) ).
tcf(c_9235,plain,
leq(minus(pv5,n1),n999),
inference(superposition,[status(thm)],[c_8692,c_83]) ).
tcf(c_9238,plain,
! [X0: $i] :
( leq(pv5,X0)
| ~ leq(plus(n1,n999),X0) ),
inference(superposition,[status(thm)],[c_9111,c_84]) ).
tcf(c_9239,plain,
( gt(plus(n1,n999),pv5)
| ( plus(n1,n999) = pv5 ) ),
inference(superposition,[status(thm)],[c_9111,c_75]) ).
tcf(c_9240,plain,
leq(n0,plus(n1,n999)),
inference(superposition,[status(thm)],[c_9111,c_5892]) ).
tcf(c_9246,plain,
( ( plus(n2,pv5) = n5 )
| ( plus(n2,pv5) = n4 )
| ( plus(n2,pv5) = n2 )
| ( plus(n2,pv5) = n6 )
| ( plus(n2,pv5) = n1 )
| ( plus(n2,pv5) = n3 )
| ( plus(n2,pv5) = n0 )
| ~ leq(plus(n2,pv5),n6) ),
inference(superposition,[status(thm)],[c_9152,c_98]) ).
tcf(c_9247,plain,
( ( plus(n2,pv5) = n5 )
| ( plus(n2,pv5) = n4 )
| ( plus(n2,pv5) = n2 )
| ( plus(n2,pv5) = n1 )
| ( plus(n2,pv5) = n3 )
| ( plus(n2,pv5) = n0 )
| ~ leq(plus(n2,pv5),n5) ),
inference(superposition,[status(thm)],[c_9152,c_90]) ).
tcf(c_9248,plain,
( ( plus(n2,pv5) = n4 )
| ( plus(n2,pv5) = n2 )
| ( plus(n2,pv5) = n1 )
| ( plus(n2,pv5) = n3 )
| ( plus(n2,pv5) = n0 )
| ~ leq(plus(n2,pv5),n4) ),
inference(superposition,[status(thm)],[c_9152,c_91]) ).
tcf(c_9249,plain,
( ( plus(n2,pv5) = n2 )
| ( plus(n2,pv5) = n1 )
| ( plus(n2,pv5) = n3 )
| ( plus(n2,pv5) = n0 )
| ~ leq(plus(n2,pv5),n3) ),
inference(superposition,[status(thm)],[c_9152,c_87]) ).
tcf(c_9250,plain,
( ( plus(n2,pv5) = n2 )
| ( plus(n2,pv5) = n1 )
| ( plus(n2,pv5) = n0 )
| ~ leq(plus(n2,pv5),n2) ),
inference(superposition,[status(thm)],[c_9152,c_88]) ).
tcf(c_9251,plain,
( ( plus(n2,pv5) = n1 )
| ( plus(n2,pv5) = n0 )
| ~ leq(plus(n2,pv5),n1) ),
inference(superposition,[status(thm)],[c_9152,c_89]) ).
tcf(c_9252,plain,
( ( plus(n2,pv5) = n0 )
| ~ leq(plus(n2,pv5),n0) ),
inference(superposition,[status(thm)],[c_9152,c_74]) ).
tcf(c_9253,plain,
( ( a_select3(q_ds1_filter,plus(n2,pv5),n5) = a_select3(q_ds1_filter,n5,plus(n2,pv5)) )
| ~ leq(plus(n2,pv5),n5) ),
inference(superposition,[status(thm)],[c_9152,c_5428]) ).
tcf(c_9254,plain,
( ( a_select3(pminus_ds1_filter,plus(n2,pv5),n5) = a_select3(pminus_ds1_filter,n5,plus(n2,pv5)) )
| ~ leq(plus(n2,pv5),n5) ),
inference(superposition,[status(thm)],[c_9152,c_5392]) ).
tcf(c_9255,plain,
( ( a_select3(r_ds1_filter,plus(n2,pv5),n2) = a_select3(r_ds1_filter,n2,plus(n2,pv5)) )
| ~ leq(plus(n2,pv5),n2) ),
inference(superposition,[status(thm)],[c_9152,c_5060]) ).
tcf(c_9258,plain,
( ( a_select3(q_ds1_filter,plus(n2,pv5),pv5) = a_select3(q_ds1_filter,pv5,plus(n2,pv5)) )
| ~ leq(pv5,n5)
| ~ leq(plus(n2,pv5),n5) ),
inference(superposition,[status(thm)],[c_9152,c_4430]) ).
tcf(c_9259,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,plus(n2,pv5),X0) = a_select3(q_ds1_filter,X0,plus(n2,pv5)) )
| ~ leq(n0,X0)
| ~ leq(X0,n5)
| ~ leq(plus(n2,pv5),n5) ),
inference(superposition,[status(thm)],[c_9152,c_4281]) ).
tcf(c_9260,plain,
( ( a_select3(pminus_ds1_filter,plus(n2,pv5),pv5) = a_select3(pminus_ds1_filter,pv5,plus(n2,pv5)) )
| ~ leq(pv5,n5)
| ~ leq(plus(n2,pv5),n5) ),
inference(superposition,[status(thm)],[c_9152,c_4378]) ).
tcf(c_9261,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,plus(n2,pv5),X0) = a_select3(pminus_ds1_filter,X0,plus(n2,pv5)) )
| ~ leq(n0,X0)
| ~ leq(X0,n5)
| ~ leq(plus(n2,pv5),n5) ),
inference(superposition,[status(thm)],[c_9152,c_4280]) ).
tcf(c_9262,plain,
( ( a_select3(r_ds1_filter,plus(n2,pv5),pv5) = a_select3(r_ds1_filter,pv5,plus(n2,pv5)) )
| ~ leq(pv5,n2)
| ~ leq(plus(n2,pv5),n2) ),
inference(superposition,[status(thm)],[c_9152,c_4334]) ).
tcf(c_9263,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,plus(n2,pv5),X0) = a_select3(r_ds1_filter,X0,plus(n2,pv5)) )
| ~ leq(n0,X0)
| ~ leq(X0,n2)
| ~ leq(plus(n2,pv5),n2) ),
inference(superposition,[status(thm)],[c_9152,c_4266]) ).
tcf(c_9264,plain,
! [X0: $i] :
( leq(n0,X0)
| ~ leq(plus(n2,pv5),X0) ),
inference(superposition,[status(thm)],[c_9152,c_84]) ).
tcf(c_9265,plain,
( gt(plus(n2,pv5),n0)
| ( plus(n2,pv5) = n0 ) ),
inference(superposition,[status(thm)],[c_9152,c_75]) ).
tcf(c_9415,plain,
gt(plus(n1,n3),n1),
inference(superposition,[status(thm)],[c_151,c_9224]) ).
tcf(c_9416,plain,
gt(plus(n1,n6),n4),
inference(superposition,[status(thm)],[c_5460,c_9224]) ).
tcf(c_9417,plain,
! [X0: $i,X1: $i] :
( gt(plus(n3,X0),X1)
| ~ gt(X0,X1) ),
inference(superposition,[status(thm)],[c_9224,c_122]) ).
tcf(c_9418,plain,
! [X0: $i] : leq(X0,plus(n3,X0)),
inference(superposition,[status(thm)],[c_9224,c_83]) ).
tcf(c_9419,plain,
leq(pv5,minus(plus(n3,minus(n999,n1)),n1)),
inference(superposition,[status(thm)],[c_9224,c_6449]) ).
tcf(c_9424,plain,
( ( plus(n1,n999) = n5 )
| ( plus(n1,n999) = n4 )
| ( plus(n1,n999) = n2 )
| ( plus(n1,n999) = n6 )
| ( plus(n1,n999) = n1 )
| ( plus(n1,n999) = n3 )
| ( plus(n1,n999) = n0 )
| ~ leq(plus(n1,n999),n6) ),
inference(superposition,[status(thm)],[c_9240,c_98]) ).
tcf(c_9425,plain,
( ( plus(n1,n999) = n5 )
| ( plus(n1,n999) = n4 )
| ( plus(n1,n999) = n2 )
| ( plus(n1,n999) = n1 )
| ( plus(n1,n999) = n3 )
| ( plus(n1,n999) = n0 )
| ~ leq(plus(n1,n999),n5) ),
inference(superposition,[status(thm)],[c_9240,c_90]) ).
tcf(c_9426,plain,
( ( plus(n1,n999) = n4 )
| ( plus(n1,n999) = n2 )
| ( plus(n1,n999) = n1 )
| ( plus(n1,n999) = n3 )
| ( plus(n1,n999) = n0 )
| ~ leq(plus(n1,n999),n4) ),
inference(superposition,[status(thm)],[c_9240,c_91]) ).
tcf(c_9427,plain,
( ( plus(n1,n999) = n2 )
| ( plus(n1,n999) = n1 )
| ( plus(n1,n999) = n3 )
| ( plus(n1,n999) = n0 )
| ~ leq(plus(n1,n999),n3) ),
inference(superposition,[status(thm)],[c_9240,c_87]) ).
tcf(c_9428,plain,
( ( plus(n1,n999) = n2 )
| ( plus(n1,n999) = n1 )
| ( plus(n1,n999) = n0 )
| ~ leq(plus(n1,n999),n2) ),
inference(superposition,[status(thm)],[c_9240,c_88]) ).
tcf(c_9429,plain,
( ( plus(n1,n999) = n1 )
| ( plus(n1,n999) = n0 )
| ~ leq(plus(n1,n999),n1) ),
inference(superposition,[status(thm)],[c_9240,c_89]) ).
tcf(c_9430,plain,
( ( plus(n1,n999) = n0 )
| ~ leq(plus(n1,n999),n0) ),
inference(superposition,[status(thm)],[c_9240,c_74]) ).
tcf(c_9431,plain,
( ( a_select3(q_ds1_filter,plus(n1,n999),n5) = a_select3(q_ds1_filter,n5,plus(n1,n999)) )
| ~ leq(plus(n1,n999),n5) ),
inference(superposition,[status(thm)],[c_9240,c_5428]) ).
tcf(c_9432,plain,
( ( a_select3(pminus_ds1_filter,plus(n1,n999),n5) = a_select3(pminus_ds1_filter,n5,plus(n1,n999)) )
| ~ leq(plus(n1,n999),n5) ),
inference(superposition,[status(thm)],[c_9240,c_5392]) ).
tcf(c_9433,plain,
( ( a_select3(r_ds1_filter,plus(n1,n999),n2) = a_select3(r_ds1_filter,n2,plus(n1,n999)) )
| ~ leq(plus(n1,n999),n2) ),
inference(superposition,[status(thm)],[c_9240,c_5060]) ).
tcf(c_9436,plain,
( ( a_select3(q_ds1_filter,plus(n1,n999),pv5) = a_select3(q_ds1_filter,pv5,plus(n1,n999)) )
| ~ leq(pv5,n5)
| ~ leq(plus(n1,n999),n5) ),
inference(superposition,[status(thm)],[c_9240,c_4430]) ).
tcf(c_9437,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,plus(n1,n999),X0) = a_select3(q_ds1_filter,X0,plus(n1,n999)) )
| ~ leq(n0,X0)
| ~ leq(X0,n5)
| ~ leq(plus(n1,n999),n5) ),
inference(superposition,[status(thm)],[c_9240,c_4281]) ).
tcf(c_9438,plain,
( ( a_select3(pminus_ds1_filter,plus(n1,n999),pv5) = a_select3(pminus_ds1_filter,pv5,plus(n1,n999)) )
| ~ leq(pv5,n5)
| ~ leq(plus(n1,n999),n5) ),
inference(superposition,[status(thm)],[c_9240,c_4378]) ).
tcf(c_9439,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,plus(n1,n999),X0) = a_select3(pminus_ds1_filter,X0,plus(n1,n999)) )
| ~ leq(n0,X0)
| ~ leq(X0,n5)
| ~ leq(plus(n1,n999),n5) ),
inference(superposition,[status(thm)],[c_9240,c_4280]) ).
tcf(c_9440,plain,
( ( a_select3(r_ds1_filter,plus(n1,n999),pv5) = a_select3(r_ds1_filter,pv5,plus(n1,n999)) )
| ~ leq(pv5,n2)
| ~ leq(plus(n1,n999),n2) ),
inference(superposition,[status(thm)],[c_9240,c_4334]) ).
tcf(c_9441,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,plus(n1,n999),X0) = a_select3(r_ds1_filter,X0,plus(n1,n999)) )
| ~ leq(n0,X0)
| ~ leq(X0,n2)
| ~ leq(plus(n1,n999),n2) ),
inference(superposition,[status(thm)],[c_9240,c_4266]) ).
tcf(c_9442,plain,
! [X0: $i] :
( leq(n0,X0)
| ~ leq(plus(n1,n999),X0) ),
inference(superposition,[status(thm)],[c_9240,c_84]) ).
tcf(c_9443,plain,
( gt(plus(n1,n999),n0)
| ( plus(n1,n999) = n0 ) ),
inference(superposition,[status(thm)],[c_9240,c_75]) ).
tcf(c_9551,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,X0,n0) = a_select3(r_ds1_filter,n0,X0) )
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_4335,c_4171,c_4335]) ).
tcf(c_9552,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,X0,n0) = a_select3(r_ds1_filter,n0,X0) )
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(renaming,[status(thm)],[c_9551]) ).
tcf(c_9563,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,plus(n1,X0),n0) = a_select3(r_ds1_filter,n0,plus(n1,X0)) )
| ~ leq(n0,X0)
| ~ leq(plus(n1,X0),n2) ),
inference(superposition,[status(thm)],[c_82,c_9552]) ).
tcf(c_9565,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,minus(X0,n1),n0) = a_select3(r_ds1_filter,n0,minus(X0,n1)) )
| ~ gt(X0,n0)
| ~ leq(minus(X0,n1),n2) ),
inference(superposition,[status(thm)],[c_145,c_9552]) ).
tcf(c_9566,plain,
( ( a_select3(r_ds1_filter,n0,n1) = a_select3(r_ds1_filter,n1,n0) )
| ~ leq(n1,n2) ),
inference(superposition,[status(thm)],[c_4147,c_9552]) ).
tcf(c_9567,plain,
( ( a_select3(r_ds1_filter,n0,n3) = a_select3(r_ds1_filter,n3,n0) )
| ~ leq(n3,n2) ),
inference(superposition,[status(thm)],[c_4152,c_9552]) ).
tcf(c_9568,plain,
( ( a_select3(r_ds1_filter,n0,n999) = a_select3(r_ds1_filter,n999,n0) )
| ~ leq(n999,n2) ),
inference(superposition,[status(thm)],[c_4157,c_9552]) ).
tcf(c_9569,plain,
( ( a_select3(r_ds1_filter,n0,n6) = a_select3(r_ds1_filter,n6,n0) )
| ~ leq(n6,n2) ),
inference(superposition,[status(thm)],[c_4164,c_9552]) ).
tcf(c_9570,plain,
( ( a_select3(r_ds1_filter,plus(n1,n0),n0) = a_select3(r_ds1_filter,n0,plus(n1,n0)) )
| ~ leq(plus(n1,n0),n2) ),
inference(superposition,[status(thm)],[c_4168,c_9552]) ).
tcf(c_9571,plain,
( ( a_select3(r_ds1_filter,n0,n2) = a_select3(r_ds1_filter,n2,n0) )
| ~ leq(n2,n2) ),
inference(superposition,[status(thm)],[c_4171,c_9552]) ).
tcf(c_9572,plain,
( ( a_select3(r_ds1_filter,n0,n4) = a_select3(r_ds1_filter,n4,n0) )
| ~ leq(n4,n2) ),
inference(superposition,[status(thm)],[c_4173,c_9552]) ).
tcf(c_9573,plain,
( ( a_select3(r_ds1_filter,n0,n5) = a_select3(r_ds1_filter,n5,n0) )
| ~ leq(n5,n2) ),
inference(superposition,[status(thm)],[c_4176,c_9552]) ).
tcf(c_9574,plain,
( ( a_select3(r_ds1_filter,minus(n999,n1),n0) = a_select3(r_ds1_filter,n0,minus(n999,n1)) )
| ~ leq(minus(n999,n1),n2) ),
inference(superposition,[status(thm)],[c_6336,c_9552]) ).
tcf(c_9575,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,minus(X0,n1),n0) = a_select3(r_ds1_filter,n0,minus(X0,n1)) )
| ~ gt(X0,pv5)
| ~ leq(minus(X0,n1),n2) ),
inference(superposition,[status(thm)],[c_6339,c_9552]) ).
tcf(c_9576,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,plus(n1,X0),n0) = a_select3(r_ds1_filter,n0,plus(n1,X0)) )
| ~ leq(pv5,X0)
| ~ leq(plus(n1,X0),n2) ),
inference(superposition,[status(thm)],[c_6337,c_9552]) ).
tcf(c_9577,plain,
( ( a_select3(r_ds1_filter,plus(n0,n1),n0) = a_select3(r_ds1_filter,n0,plus(n0,n1)) )
| ~ leq(plus(n0,n1),n2) ),
inference(superposition,[status(thm)],[c_8568,c_9552]) ).
tcf(c_9578,plain,
( ( a_select3(r_ds1_filter,plus(n1,pv5),n0) = a_select3(r_ds1_filter,n0,plus(n1,pv5)) )
| ~ leq(plus(n1,pv5),n2) ),
inference(superposition,[status(thm)],[c_8605,c_9552]) ).
tcf(c_9579,plain,
( ( a_select3(r_ds1_filter,plus(n2,n0),n0) = a_select3(r_ds1_filter,n0,plus(n2,n0)) )
| ~ leq(plus(n2,n0),n2) ),
inference(superposition,[status(thm)],[c_9120,c_9552]) ).
tcf(c_9580,plain,
( ( a_select3(r_ds1_filter,plus(n2,pv5),n0) = a_select3(r_ds1_filter,n0,plus(n2,pv5)) )
| ~ leq(plus(n2,pv5),n2) ),
inference(superposition,[status(thm)],[c_9152,c_9552]) ).
tcf(c_9581,plain,
( ( a_select3(r_ds1_filter,plus(n1,n999),n0) = a_select3(r_ds1_filter,n0,plus(n1,n999)) )
| ~ leq(plus(n1,n999),n2) ),
inference(superposition,[status(thm)],[c_9240,c_9552]) ).
tcf(c_9586,plain,
a_select3(r_ds1_filter,n0,n2) = a_select3(r_ds1_filter,n2,n0),
inference(forward_subsumption_resolution,[status(thm)],[c_9571,c_85]) ).
tcf(c_9593,plain,
a_select3(r_ds1_filter,n0,n1) = a_select3(r_ds1_filter,n1,n0),
inference(forward_subsumption_resolution,[status(thm)],[c_9566,c_4144]) ).
tcf(c_9650,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,X0,n0) = a_select3(pminus_ds1_filter,n0,X0) )
| ~ leq(X0,n5)
| ~ leq(n0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_4379,c_4176,c_4379]) ).
tcf(c_9651,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,X0,n0) = a_select3(pminus_ds1_filter,n0,X0) )
| ~ leq(n0,X0)
| ~ leq(X0,n5) ),
inference(renaming,[status(thm)],[c_9650]) ).
tcf(c_9662,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,plus(n1,X0),n0) = a_select3(pminus_ds1_filter,n0,plus(n1,X0)) )
| ~ leq(n0,X0)
| ~ leq(plus(n1,X0),n5) ),
inference(superposition,[status(thm)],[c_82,c_9651]) ).
tcf(c_9664,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,minus(X0,n1),n0) = a_select3(pminus_ds1_filter,n0,minus(X0,n1)) )
| ~ gt(X0,n0)
| ~ leq(minus(X0,n1),n5) ),
inference(superposition,[status(thm)],[c_145,c_9651]) ).
tcf(c_9665,plain,
( ( a_select3(pminus_ds1_filter,n0,n1) = a_select3(pminus_ds1_filter,n1,n0) )
| ~ leq(n1,n5) ),
inference(superposition,[status(thm)],[c_4147,c_9651]) ).
tcf(c_9666,plain,
( ( a_select3(pminus_ds1_filter,n0,n3) = a_select3(pminus_ds1_filter,n3,n0) )
| ~ leq(n3,n5) ),
inference(superposition,[status(thm)],[c_4152,c_9651]) ).
tcf(c_9667,plain,
( ( a_select3(pminus_ds1_filter,n0,n999) = a_select3(pminus_ds1_filter,n999,n0) )
| ~ leq(n999,n5) ),
inference(superposition,[status(thm)],[c_4157,c_9651]) ).
tcf(c_9668,plain,
( ( a_select3(pminus_ds1_filter,n0,n6) = a_select3(pminus_ds1_filter,n6,n0) )
| ~ leq(n6,n5) ),
inference(superposition,[status(thm)],[c_4164,c_9651]) ).
tcf(c_9669,plain,
( ( a_select3(pminus_ds1_filter,plus(n1,n0),n0) = a_select3(pminus_ds1_filter,n0,plus(n1,n0)) )
| ~ leq(plus(n1,n0),n5) ),
inference(superposition,[status(thm)],[c_4168,c_9651]) ).
tcf(c_9670,plain,
( ( a_select3(pminus_ds1_filter,n0,n2) = a_select3(pminus_ds1_filter,n2,n0) )
| ~ leq(n2,n5) ),
inference(superposition,[status(thm)],[c_4171,c_9651]) ).
tcf(c_9671,plain,
( ( a_select3(pminus_ds1_filter,n0,n4) = a_select3(pminus_ds1_filter,n4,n0) )
| ~ leq(n4,n5) ),
inference(superposition,[status(thm)],[c_4173,c_9651]) ).
tcf(c_9672,plain,
( ( a_select3(pminus_ds1_filter,n0,n5) = a_select3(pminus_ds1_filter,n5,n0) )
| ~ leq(n5,n5) ),
inference(superposition,[status(thm)],[c_4176,c_9651]) ).
tcf(c_9673,plain,
( ( a_select3(pminus_ds1_filter,minus(n999,n1),n0) = a_select3(pminus_ds1_filter,n0,minus(n999,n1)) )
| ~ leq(minus(n999,n1),n5) ),
inference(superposition,[status(thm)],[c_6336,c_9651]) ).
tcf(c_9674,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,minus(X0,n1),n0) = a_select3(pminus_ds1_filter,n0,minus(X0,n1)) )
| ~ gt(X0,pv5)
| ~ leq(minus(X0,n1),n5) ),
inference(superposition,[status(thm)],[c_6339,c_9651]) ).
tcf(c_9675,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,plus(n1,X0),n0) = a_select3(pminus_ds1_filter,n0,plus(n1,X0)) )
| ~ leq(pv5,X0)
| ~ leq(plus(n1,X0),n5) ),
inference(superposition,[status(thm)],[c_6337,c_9651]) ).
tcf(c_9676,plain,
( ( a_select3(pminus_ds1_filter,plus(n0,n1),n0) = a_select3(pminus_ds1_filter,n0,plus(n0,n1)) )
| ~ leq(plus(n0,n1),n5) ),
inference(superposition,[status(thm)],[c_8568,c_9651]) ).
tcf(c_9677,plain,
( ( a_select3(pminus_ds1_filter,plus(n1,pv5),n0) = a_select3(pminus_ds1_filter,n0,plus(n1,pv5)) )
| ~ leq(plus(n1,pv5),n5) ),
inference(superposition,[status(thm)],[c_8605,c_9651]) ).
tcf(c_9678,plain,
( ( a_select3(pminus_ds1_filter,plus(n2,n0),n0) = a_select3(pminus_ds1_filter,n0,plus(n2,n0)) )
| ~ leq(plus(n2,n0),n5) ),
inference(superposition,[status(thm)],[c_9120,c_9651]) ).
tcf(c_9679,plain,
( ( a_select3(pminus_ds1_filter,plus(n2,pv5),n0) = a_select3(pminus_ds1_filter,n0,plus(n2,pv5)) )
| ~ leq(plus(n2,pv5),n5) ),
inference(superposition,[status(thm)],[c_9152,c_9651]) ).
tcf(c_9680,plain,
( ( a_select3(pminus_ds1_filter,plus(n1,n999),n0) = a_select3(pminus_ds1_filter,n0,plus(n1,n999)) )
| ~ leq(plus(n1,n999),n5) ),
inference(superposition,[status(thm)],[c_9240,c_9651]) ).
tcf(c_9681,plain,
a_select3(pminus_ds1_filter,n0,n5) = a_select3(pminus_ds1_filter,n5,n0),
inference(forward_subsumption_resolution,[status(thm)],[c_9672,c_85]) ).
tcf(c_9682,plain,
a_select3(pminus_ds1_filter,n0,n4) = a_select3(pminus_ds1_filter,n4,n0),
inference(forward_subsumption_resolution,[status(thm)],[c_9671,c_4175]) ).
tcf(c_9683,plain,
a_select3(pminus_ds1_filter,n0,n2) = a_select3(pminus_ds1_filter,n2,n0),
inference(forward_subsumption_resolution,[status(thm)],[c_9670,c_4169]) ).
tcf(c_9688,plain,
a_select3(pminus_ds1_filter,n0,n3) = a_select3(pminus_ds1_filter,n3,n0),
inference(forward_subsumption_resolution,[status(thm)],[c_9666,c_4149]) ).
tcf(c_9689,plain,
a_select3(pminus_ds1_filter,n0,n1) = a_select3(pminus_ds1_filter,n1,n0),
inference(forward_subsumption_resolution,[status(thm)],[c_9665,c_4145]) ).
tcf(c_9766,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,X0,n0) = a_select3(q_ds1_filter,n0,X0) )
| ~ leq(X0,n5)
| ~ leq(n0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_4431,c_4176,c_4431]) ).
tcf(c_9767,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,X0,n0) = a_select3(q_ds1_filter,n0,X0) )
| ~ leq(n0,X0)
| ~ leq(X0,n5) ),
inference(renaming,[status(thm)],[c_9766]) ).
tcf(c_9778,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,plus(n1,X0),n0) = a_select3(q_ds1_filter,n0,plus(n1,X0)) )
| ~ leq(n0,X0)
| ~ leq(plus(n1,X0),n5) ),
inference(superposition,[status(thm)],[c_82,c_9767]) ).
tcf(c_9780,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,minus(X0,n1),n0) = a_select3(q_ds1_filter,n0,minus(X0,n1)) )
| ~ gt(X0,n0)
| ~ leq(minus(X0,n1),n5) ),
inference(superposition,[status(thm)],[c_145,c_9767]) ).
tcf(c_9781,plain,
( ( a_select3(q_ds1_filter,n0,n1) = a_select3(q_ds1_filter,n1,n0) )
| ~ leq(n1,n5) ),
inference(superposition,[status(thm)],[c_4147,c_9767]) ).
tcf(c_9782,plain,
( ( a_select3(q_ds1_filter,n0,n3) = a_select3(q_ds1_filter,n3,n0) )
| ~ leq(n3,n5) ),
inference(superposition,[status(thm)],[c_4152,c_9767]) ).
tcf(c_9783,plain,
( ( a_select3(q_ds1_filter,n0,n999) = a_select3(q_ds1_filter,n999,n0) )
| ~ leq(n999,n5) ),
inference(superposition,[status(thm)],[c_4157,c_9767]) ).
tcf(c_9784,plain,
( ( a_select3(q_ds1_filter,n0,n6) = a_select3(q_ds1_filter,n6,n0) )
| ~ leq(n6,n5) ),
inference(superposition,[status(thm)],[c_4164,c_9767]) ).
tcf(c_9785,plain,
( ( a_select3(q_ds1_filter,plus(n1,n0),n0) = a_select3(q_ds1_filter,n0,plus(n1,n0)) )
| ~ leq(plus(n1,n0),n5) ),
inference(superposition,[status(thm)],[c_4168,c_9767]) ).
tcf(c_9786,plain,
( ( a_select3(q_ds1_filter,n0,n2) = a_select3(q_ds1_filter,n2,n0) )
| ~ leq(n2,n5) ),
inference(superposition,[status(thm)],[c_4171,c_9767]) ).
tcf(c_9787,plain,
( ( a_select3(q_ds1_filter,n0,n4) = a_select3(q_ds1_filter,n4,n0) )
| ~ leq(n4,n5) ),
inference(superposition,[status(thm)],[c_4173,c_9767]) ).
tcf(c_9788,plain,
( ( a_select3(q_ds1_filter,n0,n5) = a_select3(q_ds1_filter,n5,n0) )
| ~ leq(n5,n5) ),
inference(superposition,[status(thm)],[c_4176,c_9767]) ).
tcf(c_9789,plain,
( ( a_select3(q_ds1_filter,minus(n999,n1),n0) = a_select3(q_ds1_filter,n0,minus(n999,n1)) )
| ~ leq(minus(n999,n1),n5) ),
inference(superposition,[status(thm)],[c_6336,c_9767]) ).
tcf(c_9790,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,minus(X0,n1),n0) = a_select3(q_ds1_filter,n0,minus(X0,n1)) )
| ~ gt(X0,pv5)
| ~ leq(minus(X0,n1),n5) ),
inference(superposition,[status(thm)],[c_6339,c_9767]) ).
tcf(c_9791,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,plus(n1,X0),n0) = a_select3(q_ds1_filter,n0,plus(n1,X0)) )
| ~ leq(pv5,X0)
| ~ leq(plus(n1,X0),n5) ),
inference(superposition,[status(thm)],[c_6337,c_9767]) ).
tcf(c_9792,plain,
( ( a_select3(q_ds1_filter,plus(n0,n1),n0) = a_select3(q_ds1_filter,n0,plus(n0,n1)) )
| ~ leq(plus(n0,n1),n5) ),
inference(superposition,[status(thm)],[c_8568,c_9767]) ).
tcf(c_9793,plain,
( ( a_select3(q_ds1_filter,plus(n1,pv5),n0) = a_select3(q_ds1_filter,n0,plus(n1,pv5)) )
| ~ leq(plus(n1,pv5),n5) ),
inference(superposition,[status(thm)],[c_8605,c_9767]) ).
tcf(c_9794,plain,
( ( a_select3(q_ds1_filter,plus(n2,n0),n0) = a_select3(q_ds1_filter,n0,plus(n2,n0)) )
| ~ leq(plus(n2,n0),n5) ),
inference(superposition,[status(thm)],[c_9120,c_9767]) ).
tcf(c_9795,plain,
( ( a_select3(q_ds1_filter,plus(n2,pv5),n0) = a_select3(q_ds1_filter,n0,plus(n2,pv5)) )
| ~ leq(plus(n2,pv5),n5) ),
inference(superposition,[status(thm)],[c_9152,c_9767]) ).
tcf(c_9796,plain,
( ( a_select3(q_ds1_filter,plus(n1,n999),n0) = a_select3(q_ds1_filter,n0,plus(n1,n999)) )
| ~ leq(plus(n1,n999),n5) ),
inference(superposition,[status(thm)],[c_9240,c_9767]) ).
tcf(c_9797,plain,
a_select3(q_ds1_filter,n0,n5) = a_select3(q_ds1_filter,n5,n0),
inference(forward_subsumption_resolution,[status(thm)],[c_9788,c_85]) ).
tcf(c_9798,plain,
a_select3(q_ds1_filter,n0,n4) = a_select3(q_ds1_filter,n4,n0),
inference(forward_subsumption_resolution,[status(thm)],[c_9787,c_4175]) ).
tcf(c_9799,plain,
a_select3(q_ds1_filter,n0,n2) = a_select3(q_ds1_filter,n2,n0),
inference(forward_subsumption_resolution,[status(thm)],[c_9786,c_4169]) ).
tcf(c_9804,plain,
a_select3(q_ds1_filter,n0,n3) = a_select3(q_ds1_filter,n3,n0),
inference(forward_subsumption_resolution,[status(thm)],[c_9782,c_4149]) ).
tcf(c_9805,plain,
a_select3(q_ds1_filter,n0,n1) = a_select3(q_ds1_filter,n1,n0),
inference(forward_subsumption_resolution,[status(thm)],[c_9781,c_4145]) ).
tcf(c_9942,plain,
leq(n4,plus(n3,n4)),
inference(superposition,[status(thm)],[c_990,c_9227]) ).
tcf(c_9943,plain,
leq(n5,plus(n3,n5)),
inference(superposition,[status(thm)],[c_992,c_9227]) ).
tcf(c_9946,plain,
( ( a_select3(q_ds1_filter,plus(n0,n3),n0) = a_select3(q_ds1_filter,n0,plus(n0,n3)) )
| ~ leq(plus(n0,n3),n5) ),
inference(superposition,[status(thm)],[c_9227,c_9767]) ).
tcf(c_9947,plain,
( ( a_select3(pminus_ds1_filter,plus(n0,n3),n0) = a_select3(pminus_ds1_filter,n0,plus(n0,n3)) )
| ~ leq(plus(n0,n3),n5) ),
inference(superposition,[status(thm)],[c_9227,c_9651]) ).
tcf(c_9948,plain,
( ( a_select3(r_ds1_filter,plus(n0,n3),n0) = a_select3(r_ds1_filter,n0,plus(n0,n3)) )
| ~ leq(plus(n0,n3),n2) ),
inference(superposition,[status(thm)],[c_9227,c_9552]) ).
tcf(c_9949,plain,
( ( plus(n0,n3) = n5 )
| ( plus(n0,n3) = n4 )
| ( plus(n0,n3) = n2 )
| ( plus(n0,n3) = n6 )
| ( plus(n0,n3) = n1 )
| ( plus(n0,n3) = n3 )
| ( plus(n0,n3) = n0 )
| ~ leq(plus(n0,n3),n6) ),
inference(superposition,[status(thm)],[c_9227,c_98]) ).
tcf(c_9950,plain,
( ( plus(n0,n3) = n5 )
| ( plus(n0,n3) = n4 )
| ( plus(n0,n3) = n2 )
| ( plus(n0,n3) = n1 )
| ( plus(n0,n3) = n3 )
| ( plus(n0,n3) = n0 )
| ~ leq(plus(n0,n3),n5) ),
inference(superposition,[status(thm)],[c_9227,c_90]) ).
tcf(c_9951,plain,
( ( plus(n0,n3) = n4 )
| ( plus(n0,n3) = n2 )
| ( plus(n0,n3) = n1 )
| ( plus(n0,n3) = n3 )
| ( plus(n0,n3) = n0 )
| ~ leq(plus(n0,n3),n4) ),
inference(superposition,[status(thm)],[c_9227,c_91]) ).
tcf(c_9952,plain,
( ( plus(n0,n3) = n2 )
| ( plus(n0,n3) = n1 )
| ( plus(n0,n3) = n3 )
| ( plus(n0,n3) = n0 )
| ~ leq(plus(n0,n3),n3) ),
inference(superposition,[status(thm)],[c_9227,c_87]) ).
tcf(c_9953,plain,
( ( plus(n0,n3) = n2 )
| ( plus(n0,n3) = n1 )
| ( plus(n0,n3) = n0 )
| ~ leq(plus(n0,n3),n2) ),
inference(superposition,[status(thm)],[c_9227,c_88]) ).
tcf(c_9954,plain,
( ( plus(n0,n3) = n1 )
| ( plus(n0,n3) = n0 )
| ~ leq(plus(n0,n3),n1) ),
inference(superposition,[status(thm)],[c_9227,c_89]) ).
tcf(c_9955,plain,
( ( plus(n0,n3) = n0 )
| ~ leq(plus(n0,n3),n0) ),
inference(superposition,[status(thm)],[c_9227,c_74]) ).
tcf(c_9956,plain,
( ( a_select3(q_ds1_filter,plus(n0,n3),n5) = a_select3(q_ds1_filter,n5,plus(n0,n3)) )
| ~ leq(plus(n0,n3),n5) ),
inference(superposition,[status(thm)],[c_9227,c_5428]) ).
tcf(c_9957,plain,
( ( a_select3(pminus_ds1_filter,plus(n0,n3),n5) = a_select3(pminus_ds1_filter,n5,plus(n0,n3)) )
| ~ leq(plus(n0,n3),n5) ),
inference(superposition,[status(thm)],[c_9227,c_5392]) ).
tcf(c_9958,plain,
( ( a_select3(r_ds1_filter,plus(n0,n3),n2) = a_select3(r_ds1_filter,n2,plus(n0,n3)) )
| ~ leq(plus(n0,n3),n2) ),
inference(superposition,[status(thm)],[c_9227,c_5060]) ).
tcf(c_9961,plain,
( ( a_select3(q_ds1_filter,plus(n0,n3),pv5) = a_select3(q_ds1_filter,pv5,plus(n0,n3)) )
| ~ leq(pv5,n5)
| ~ leq(plus(n0,n3),n5) ),
inference(superposition,[status(thm)],[c_9227,c_4430]) ).
tcf(c_9962,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,plus(n0,n3),X0) = a_select3(q_ds1_filter,X0,plus(n0,n3)) )
| ~ leq(n0,X0)
| ~ leq(X0,n5)
| ~ leq(plus(n0,n3),n5) ),
inference(superposition,[status(thm)],[c_9227,c_4281]) ).
tcf(c_9963,plain,
( ( a_select3(pminus_ds1_filter,plus(n0,n3),pv5) = a_select3(pminus_ds1_filter,pv5,plus(n0,n3)) )
| ~ leq(pv5,n5)
| ~ leq(plus(n0,n3),n5) ),
inference(superposition,[status(thm)],[c_9227,c_4378]) ).
tcf(c_9964,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,plus(n0,n3),X0) = a_select3(pminus_ds1_filter,X0,plus(n0,n3)) )
| ~ leq(n0,X0)
| ~ leq(X0,n5)
| ~ leq(plus(n0,n3),n5) ),
inference(superposition,[status(thm)],[c_9227,c_4280]) ).
tcf(c_9965,plain,
( ( a_select3(r_ds1_filter,plus(n0,n3),pv5) = a_select3(r_ds1_filter,pv5,plus(n0,n3)) )
| ~ leq(pv5,n2)
| ~ leq(plus(n0,n3),n2) ),
inference(superposition,[status(thm)],[c_9227,c_4334]) ).
tcf(c_9966,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,plus(n0,n3),X0) = a_select3(r_ds1_filter,X0,plus(n0,n3)) )
| ~ leq(n0,X0)
| ~ leq(X0,n2)
| ~ leq(plus(n0,n3),n2) ),
inference(superposition,[status(thm)],[c_9227,c_4266]) ).
tcf(c_9967,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ~ leq(plus(X0,n3),X1) ),
inference(superposition,[status(thm)],[c_9227,c_84]) ).
tcf(c_9969,plain,
! [X0: $i] : gt(plus(plus(n1,X0),n3),X0),
inference(superposition,[status(thm)],[c_9227,c_77]) ).
tcf(c_9970,plain,
leq(n0,plus(pv5,n3)),
inference(superposition,[status(thm)],[c_9227,c_5892]) ).
tcf(c_9971,plain,
leq(pv5,plus(n1,plus(minus(n999,n1),n3))),
inference(superposition,[status(thm)],[c_9227,c_6447]) ).
tcf(c_9972,plain,
leq(n0,plus(minus(n999,n1),n3)),
inference(superposition,[status(thm)],[c_9227,c_6358]) ).
tcf(c_9973,plain,
leq(pv5,plus(minus(n999,n1),n3)),
inference(superposition,[status(thm)],[c_9227,c_5893]) ).
tcf(c_9974,plain,
leq(n4,plus(n1,n6)),
inference(light_normalisation,[status(thm)],[c_9942,c_5460]) ).
tcf(c_10076,plain,
! [X0: $i] :
( leq(minus(pv5,n1),X0)
| ~ leq(n999,X0) ),
inference(superposition,[status(thm)],[c_9235,c_84]) ).
tcf(c_10082,plain,
leq(n1,plus(n1,n3)),
inference(superposition,[status(thm)],[c_151,c_9418]) ).
tcf(c_10084,plain,
( ( a_select3(q_ds1_filter,plus(n3,n0),n0) = a_select3(q_ds1_filter,n0,plus(n3,n0)) )
| ~ leq(plus(n3,n0),n5) ),
inference(superposition,[status(thm)],[c_9418,c_9767]) ).
tcf(c_10085,plain,
( ( a_select3(pminus_ds1_filter,plus(n3,n0),n0) = a_select3(pminus_ds1_filter,n0,plus(n3,n0)) )
| ~ leq(plus(n3,n0),n5) ),
inference(superposition,[status(thm)],[c_9418,c_9651]) ).
tcf(c_10086,plain,
( ( a_select3(r_ds1_filter,plus(n3,n0),n0) = a_select3(r_ds1_filter,n0,plus(n3,n0)) )
| ~ leq(plus(n3,n0),n2) ),
inference(superposition,[status(thm)],[c_9418,c_9552]) ).
tcf(c_10087,plain,
( ( plus(n3,n0) = n5 )
| ( plus(n3,n0) = n4 )
| ( plus(n3,n0) = n2 )
| ( plus(n3,n0) = n6 )
| ( plus(n3,n0) = n1 )
| ( plus(n3,n0) = n3 )
| ( plus(n3,n0) = n0 )
| ~ leq(plus(n3,n0),n6) ),
inference(superposition,[status(thm)],[c_9418,c_98]) ).
tcf(c_10088,plain,
( ( plus(n3,n0) = n5 )
| ( plus(n3,n0) = n4 )
| ( plus(n3,n0) = n2 )
| ( plus(n3,n0) = n1 )
| ( plus(n3,n0) = n3 )
| ( plus(n3,n0) = n0 )
| ~ leq(plus(n3,n0),n5) ),
inference(superposition,[status(thm)],[c_9418,c_90]) ).
tcf(c_10089,plain,
( ( plus(n3,n0) = n4 )
| ( plus(n3,n0) = n2 )
| ( plus(n3,n0) = n1 )
| ( plus(n3,n0) = n3 )
| ( plus(n3,n0) = n0 )
| ~ leq(plus(n3,n0),n4) ),
inference(superposition,[status(thm)],[c_9418,c_91]) ).
tcf(c_10090,plain,
( ( plus(n3,n0) = n2 )
| ( plus(n3,n0) = n1 )
| ( plus(n3,n0) = n3 )
| ( plus(n3,n0) = n0 )
| ~ leq(plus(n3,n0),n3) ),
inference(superposition,[status(thm)],[c_9418,c_87]) ).
tcf(c_10091,plain,
( ( plus(n3,n0) = n2 )
| ( plus(n3,n0) = n1 )
| ( plus(n3,n0) = n0 )
| ~ leq(plus(n3,n0),n2) ),
inference(superposition,[status(thm)],[c_9418,c_88]) ).
tcf(c_10092,plain,
( ( plus(n3,n0) = n1 )
| ( plus(n3,n0) = n0 )
| ~ leq(plus(n3,n0),n1) ),
inference(superposition,[status(thm)],[c_9418,c_89]) ).
tcf(c_10093,plain,
( ( plus(n3,n0) = n0 )
| ~ leq(plus(n3,n0),n0) ),
inference(superposition,[status(thm)],[c_9418,c_74]) ).
tcf(c_10094,plain,
( ( a_select3(q_ds1_filter,plus(n3,n0),n5) = a_select3(q_ds1_filter,n5,plus(n3,n0)) )
| ~ leq(plus(n3,n0),n5) ),
inference(superposition,[status(thm)],[c_9418,c_5428]) ).
tcf(c_10095,plain,
( ( a_select3(pminus_ds1_filter,plus(n3,n0),n5) = a_select3(pminus_ds1_filter,n5,plus(n3,n0)) )
| ~ leq(plus(n3,n0),n5) ),
inference(superposition,[status(thm)],[c_9418,c_5392]) ).
tcf(c_10096,plain,
( ( a_select3(r_ds1_filter,plus(n3,n0),n2) = a_select3(r_ds1_filter,n2,plus(n3,n0)) )
| ~ leq(plus(n3,n0),n2) ),
inference(superposition,[status(thm)],[c_9418,c_5060]) ).
tcf(c_10099,plain,
( ( a_select3(q_ds1_filter,plus(n3,n0),pv5) = a_select3(q_ds1_filter,pv5,plus(n3,n0)) )
| ~ leq(pv5,n5)
| ~ leq(plus(n3,n0),n5) ),
inference(superposition,[status(thm)],[c_9418,c_4430]) ).
tcf(c_10100,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,plus(n3,n0),X0) = a_select3(q_ds1_filter,X0,plus(n3,n0)) )
| ~ leq(n0,X0)
| ~ leq(X0,n5)
| ~ leq(plus(n3,n0),n5) ),
inference(superposition,[status(thm)],[c_9418,c_4281]) ).
tcf(c_10101,plain,
( ( a_select3(pminus_ds1_filter,plus(n3,n0),pv5) = a_select3(pminus_ds1_filter,pv5,plus(n3,n0)) )
| ~ leq(pv5,n5)
| ~ leq(plus(n3,n0),n5) ),
inference(superposition,[status(thm)],[c_9418,c_4378]) ).
tcf(c_10102,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,plus(n3,n0),X0) = a_select3(pminus_ds1_filter,X0,plus(n3,n0)) )
| ~ leq(n0,X0)
| ~ leq(X0,n5)
| ~ leq(plus(n3,n0),n5) ),
inference(superposition,[status(thm)],[c_9418,c_4280]) ).
tcf(c_10103,plain,
( ( a_select3(r_ds1_filter,plus(n3,n0),pv5) = a_select3(r_ds1_filter,pv5,plus(n3,n0)) )
| ~ leq(pv5,n2)
| ~ leq(plus(n3,n0),n2) ),
inference(superposition,[status(thm)],[c_9418,c_4334]) ).
tcf(c_10104,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,plus(n3,n0),X0) = a_select3(r_ds1_filter,X0,plus(n3,n0)) )
| ~ leq(n0,X0)
| ~ leq(X0,n2)
| ~ leq(plus(n3,n0),n2) ),
inference(superposition,[status(thm)],[c_9418,c_4266]) ).
tcf(c_10105,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ~ leq(plus(n3,X0),X1) ),
inference(superposition,[status(thm)],[c_9418,c_84]) ).
tcf(c_10107,plain,
! [X0: $i] : gt(plus(n3,plus(n1,X0)),X0),
inference(superposition,[status(thm)],[c_9418,c_77]) ).
tcf(c_10108,plain,
leq(n0,plus(n3,pv5)),
inference(superposition,[status(thm)],[c_9418,c_5892]) ).
tcf(c_10109,plain,
leq(pv5,plus(n1,plus(n3,minus(n999,n1)))),
inference(superposition,[status(thm)],[c_9418,c_6447]) ).
tcf(c_10110,plain,
leq(n0,plus(n3,minus(n999,n1))),
inference(superposition,[status(thm)],[c_9418,c_6358]) ).
tcf(c_10111,plain,
leq(pv5,plus(n3,minus(n999,n1))),
inference(superposition,[status(thm)],[c_9418,c_5893]) ).
tcf(c_10274,plain,
! [X0: $i] :
( gt(plus(n1,n6),X0)
| ~ gt(n4,X0) ),
inference(superposition,[status(thm)],[c_9416,c_122]) ).
tcf(c_10281,plain,
! [X0: $i] :
( leq(n4,X0)
| ~ leq(plus(n1,n6),X0) ),
inference(superposition,[status(thm)],[c_9974,c_84]) ).
tcf(c_10294,plain,
( ( a_select3(q_ds1_filter,plus(n3,pv5),n0) = a_select3(q_ds1_filter,n0,plus(n3,pv5)) )
| ~ leq(plus(n3,pv5),n5) ),
inference(superposition,[status(thm)],[c_10108,c_9767]) ).
tcf(c_10295,plain,
( ( a_select3(pminus_ds1_filter,plus(n3,pv5),n0) = a_select3(pminus_ds1_filter,n0,plus(n3,pv5)) )
| ~ leq(plus(n3,pv5),n5) ),
inference(superposition,[status(thm)],[c_10108,c_9651]) ).
tcf(c_10296,plain,
( ( a_select3(r_ds1_filter,plus(n3,pv5),n0) = a_select3(r_ds1_filter,n0,plus(n3,pv5)) )
| ~ leq(plus(n3,pv5),n2) ),
inference(superposition,[status(thm)],[c_10108,c_9552]) ).
tcf(c_10297,plain,
( ( plus(n3,pv5) = n5 )
| ( plus(n3,pv5) = n4 )
| ( plus(n3,pv5) = n2 )
| ( plus(n3,pv5) = n6 )
| ( plus(n3,pv5) = n1 )
| ( plus(n3,pv5) = n3 )
| ( plus(n3,pv5) = n0 )
| ~ leq(plus(n3,pv5),n6) ),
inference(superposition,[status(thm)],[c_10108,c_98]) ).
tcf(c_10298,plain,
( ( plus(n3,pv5) = n5 )
| ( plus(n3,pv5) = n4 )
| ( plus(n3,pv5) = n2 )
| ( plus(n3,pv5) = n1 )
| ( plus(n3,pv5) = n3 )
| ( plus(n3,pv5) = n0 )
| ~ leq(plus(n3,pv5),n5) ),
inference(superposition,[status(thm)],[c_10108,c_90]) ).
tcf(c_10299,plain,
( ( plus(n3,pv5) = n4 )
| ( plus(n3,pv5) = n2 )
| ( plus(n3,pv5) = n1 )
| ( plus(n3,pv5) = n3 )
| ( plus(n3,pv5) = n0 )
| ~ leq(plus(n3,pv5),n4) ),
inference(superposition,[status(thm)],[c_10108,c_91]) ).
tcf(c_10300,plain,
( ( plus(n3,pv5) = n2 )
| ( plus(n3,pv5) = n1 )
| ( plus(n3,pv5) = n3 )
| ( plus(n3,pv5) = n0 )
| ~ leq(plus(n3,pv5),n3) ),
inference(superposition,[status(thm)],[c_10108,c_87]) ).
tcf(c_10301,plain,
( ( plus(n3,pv5) = n2 )
| ( plus(n3,pv5) = n1 )
| ( plus(n3,pv5) = n0 )
| ~ leq(plus(n3,pv5),n2) ),
inference(superposition,[status(thm)],[c_10108,c_88]) ).
tcf(c_10302,plain,
( ( plus(n3,pv5) = n1 )
| ( plus(n3,pv5) = n0 )
| ~ leq(plus(n3,pv5),n1) ),
inference(superposition,[status(thm)],[c_10108,c_89]) ).
tcf(c_10303,plain,
( ( plus(n3,pv5) = n0 )
| ~ leq(plus(n3,pv5),n0) ),
inference(superposition,[status(thm)],[c_10108,c_74]) ).
tcf(c_10304,plain,
( ( a_select3(q_ds1_filter,plus(n3,pv5),n5) = a_select3(q_ds1_filter,n5,plus(n3,pv5)) )
| ~ leq(plus(n3,pv5),n5) ),
inference(superposition,[status(thm)],[c_10108,c_5428]) ).
tcf(c_10305,plain,
( ( a_select3(pminus_ds1_filter,plus(n3,pv5),n5) = a_select3(pminus_ds1_filter,n5,plus(n3,pv5)) )
| ~ leq(plus(n3,pv5),n5) ),
inference(superposition,[status(thm)],[c_10108,c_5392]) ).
tcf(c_10306,plain,
( ( a_select3(r_ds1_filter,plus(n3,pv5),n2) = a_select3(r_ds1_filter,n2,plus(n3,pv5)) )
| ~ leq(plus(n3,pv5),n2) ),
inference(superposition,[status(thm)],[c_10108,c_5060]) ).
tcf(c_10309,plain,
( ( a_select3(q_ds1_filter,plus(n3,pv5),pv5) = a_select3(q_ds1_filter,pv5,plus(n3,pv5)) )
| ~ leq(pv5,n5)
| ~ leq(plus(n3,pv5),n5) ),
inference(superposition,[status(thm)],[c_10108,c_4430]) ).
tcf(c_10310,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,plus(n3,pv5),X0) = a_select3(q_ds1_filter,X0,plus(n3,pv5)) )
| ~ leq(n0,X0)
| ~ leq(X0,n5)
| ~ leq(plus(n3,pv5),n5) ),
inference(superposition,[status(thm)],[c_10108,c_4281]) ).
tcf(c_10311,plain,
( ( a_select3(pminus_ds1_filter,plus(n3,pv5),pv5) = a_select3(pminus_ds1_filter,pv5,plus(n3,pv5)) )
| ~ leq(pv5,n5)
| ~ leq(plus(n3,pv5),n5) ),
inference(superposition,[status(thm)],[c_10108,c_4378]) ).
tcf(c_10312,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,plus(n3,pv5),X0) = a_select3(pminus_ds1_filter,X0,plus(n3,pv5)) )
| ~ leq(n0,X0)
| ~ leq(X0,n5)
| ~ leq(plus(n3,pv5),n5) ),
inference(superposition,[status(thm)],[c_10108,c_4280]) ).
tcf(c_10313,plain,
( ( a_select3(r_ds1_filter,plus(n3,pv5),pv5) = a_select3(r_ds1_filter,pv5,plus(n3,pv5)) )
| ~ leq(pv5,n2)
| ~ leq(plus(n3,pv5),n2) ),
inference(superposition,[status(thm)],[c_10108,c_4334]) ).
tcf(c_10314,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,plus(n3,pv5),X0) = a_select3(r_ds1_filter,X0,plus(n3,pv5)) )
| ~ leq(n0,X0)
| ~ leq(X0,n2)
| ~ leq(plus(n3,pv5),n2) ),
inference(superposition,[status(thm)],[c_10108,c_4266]) ).
tcf(c_10315,plain,
! [X0: $i] :
( leq(n0,X0)
| ~ leq(plus(n3,pv5),X0) ),
inference(superposition,[status(thm)],[c_10108,c_84]) ).
tcf(c_10316,plain,
( gt(plus(n3,pv5),n0)
| ( plus(n3,pv5) = n0 ) ),
inference(superposition,[status(thm)],[c_10108,c_75]) ).
tcf(c_10419,plain,
! [X0: $i] :
( leq(pv5,X0)
| ~ leq(plus(n3,minus(n999,n1)),X0) ),
inference(superposition,[status(thm)],[c_10111,c_84]) ).
tcf(c_10420,plain,
( gt(plus(n3,minus(n999,n1)),pv5)
| ( plus(n3,minus(n999,n1)) = pv5 ) ),
inference(superposition,[status(thm)],[c_10111,c_75]) ).
tcf(c_10442,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,plus(n1,X0),n3) = a_select3(r_ds1_filter,n3,plus(n1,X0)) )
| ~ leq(n3,n2)
| ~ leq(n0,X0)
| ~ leq(plus(n1,X0),n2) ),
inference(superposition,[status(thm)],[c_82,c_4662]) ).
tcf(c_10444,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,minus(X0,n1),n3) = a_select3(r_ds1_filter,n3,minus(X0,n1)) )
| ~ leq(n3,n2)
| ~ gt(X0,n0)
| ~ leq(minus(X0,n1),n2) ),
inference(superposition,[status(thm)],[c_145,c_4662]) ).
tcf(c_10445,plain,
( ( a_select3(r_ds1_filter,n3,n1) = a_select3(r_ds1_filter,n1,n3) )
| ~ leq(n1,n2)
| ~ leq(n3,n2) ),
inference(superposition,[status(thm)],[c_4147,c_4662]) ).
tcf(c_10447,plain,
( ( a_select3(r_ds1_filter,n3,n999) = a_select3(r_ds1_filter,n999,n3) )
| ~ leq(n999,n2)
| ~ leq(n3,n2) ),
inference(superposition,[status(thm)],[c_4157,c_4662]) ).
tcf(c_10448,plain,
( ( a_select3(r_ds1_filter,n3,n6) = a_select3(r_ds1_filter,n6,n3) )
| ~ leq(n6,n2)
| ~ leq(n3,n2) ),
inference(superposition,[status(thm)],[c_4164,c_4662]) ).
tcf(c_10449,plain,
( ( a_select3(r_ds1_filter,plus(n1,n0),n3) = a_select3(r_ds1_filter,n3,plus(n1,n0)) )
| ~ leq(n3,n2)
| ~ leq(plus(n1,n0),n2) ),
inference(superposition,[status(thm)],[c_4168,c_4662]) ).
tcf(c_10450,plain,
( ( a_select3(r_ds1_filter,n3,n2) = a_select3(r_ds1_filter,n2,n3) )
| ~ leq(n2,n2)
| ~ leq(n3,n2) ),
inference(superposition,[status(thm)],[c_4171,c_4662]) ).
tcf(c_10451,plain,
( ( a_select3(r_ds1_filter,n3,n4) = a_select3(r_ds1_filter,n4,n3) )
| ~ leq(n4,n2)
| ~ leq(n3,n2) ),
inference(superposition,[status(thm)],[c_4173,c_4662]) ).
tcf(c_10452,plain,
( ( a_select3(r_ds1_filter,n3,n5) = a_select3(r_ds1_filter,n5,n3) )
| ~ leq(n5,n2)
| ~ leq(n3,n2) ),
inference(superposition,[status(thm)],[c_4176,c_4662]) ).
tcf(c_10453,plain,
( ( a_select3(r_ds1_filter,minus(n999,n1),n3) = a_select3(r_ds1_filter,n3,minus(n999,n1)) )
| ~ leq(n3,n2)
| ~ leq(minus(n999,n1),n2) ),
inference(superposition,[status(thm)],[c_6336,c_4662]) ).
tcf(c_10454,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,minus(X0,n1),n3) = a_select3(r_ds1_filter,n3,minus(X0,n1)) )
| ~ leq(n3,n2)
| ~ gt(X0,pv5)
| ~ leq(minus(X0,n1),n2) ),
inference(superposition,[status(thm)],[c_6339,c_4662]) ).
tcf(c_10455,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,plus(n1,X0),n3) = a_select3(r_ds1_filter,n3,plus(n1,X0)) )
| ~ leq(n3,n2)
| ~ leq(pv5,X0)
| ~ leq(plus(n1,X0),n2) ),
inference(superposition,[status(thm)],[c_6337,c_4662]) ).
tcf(c_10456,plain,
( ( a_select3(r_ds1_filter,plus(n0,n1),n3) = a_select3(r_ds1_filter,n3,plus(n0,n1)) )
| ~ leq(n3,n2)
| ~ leq(plus(n0,n1),n2) ),
inference(superposition,[status(thm)],[c_8568,c_4662]) ).
tcf(c_10457,plain,
( ( a_select3(r_ds1_filter,plus(n1,pv5),n3) = a_select3(r_ds1_filter,n3,plus(n1,pv5)) )
| ~ leq(n3,n2)
| ~ leq(plus(n1,pv5),n2) ),
inference(superposition,[status(thm)],[c_8605,c_4662]) ).
tcf(c_10458,plain,
( ( a_select3(r_ds1_filter,plus(n2,n0),n3) = a_select3(r_ds1_filter,n3,plus(n2,n0)) )
| ~ leq(n3,n2)
| ~ leq(plus(n2,n0),n2) ),
inference(superposition,[status(thm)],[c_9120,c_4662]) ).
tcf(c_10459,plain,
( ( a_select3(r_ds1_filter,plus(n2,pv5),n3) = a_select3(r_ds1_filter,n3,plus(n2,pv5)) )
| ~ leq(n3,n2)
| ~ leq(plus(n2,pv5),n2) ),
inference(superposition,[status(thm)],[c_9152,c_4662]) ).
tcf(c_10460,plain,
( ( a_select3(r_ds1_filter,plus(n0,n3),n3) = a_select3(r_ds1_filter,n3,plus(n0,n3)) )
| ~ leq(n3,n2)
| ~ leq(plus(n0,n3),n2) ),
inference(superposition,[status(thm)],[c_9227,c_4662]) ).
tcf(c_10461,plain,
( ( a_select3(r_ds1_filter,plus(n1,n999),n3) = a_select3(r_ds1_filter,n3,plus(n1,n999)) )
| ~ leq(n3,n2)
| ~ leq(plus(n1,n999),n2) ),
inference(superposition,[status(thm)],[c_9240,c_4662]) ).
tcf(c_10462,plain,
( ( a_select3(r_ds1_filter,plus(n3,n0),n3) = a_select3(r_ds1_filter,n3,plus(n3,n0)) )
| ~ leq(n3,n2)
| ~ leq(plus(n3,n0),n2) ),
inference(superposition,[status(thm)],[c_9418,c_4662]) ).
tcf(c_10463,plain,
( ( a_select3(r_ds1_filter,plus(n3,pv5),n3) = a_select3(r_ds1_filter,n3,plus(n3,pv5)) )
| ~ leq(n3,n2)
| ~ leq(plus(n3,pv5),n2) ),
inference(superposition,[status(thm)],[c_10108,c_4662]) ).
tcf(c_10477,plain,
( ( a_select3(r_ds1_filter,n3,n1) = a_select3(r_ds1_filter,n1,n3) )
| ~ leq(n3,n2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10445,c_4144]) ).
tcf(c_10642,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,plus(n1,X0),n999) = a_select3(q_ds1_filter,n999,plus(n1,X0)) )
| ~ leq(n999,n5)
| ~ leq(n0,X0)
| ~ leq(plus(n1,X0),n5) ),
inference(superposition,[status(thm)],[c_82,c_5324]) ).
tcf(c_10644,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,minus(X0,n1),n999) = a_select3(q_ds1_filter,n999,minus(X0,n1)) )
| ~ leq(n999,n5)
| ~ gt(X0,n0)
| ~ leq(minus(X0,n1),n5) ),
inference(superposition,[status(thm)],[c_145,c_5324]) ).
tcf(c_10645,plain,
( ( a_select3(q_ds1_filter,n1,n999) = a_select3(q_ds1_filter,n999,n1) )
| ~ leq(n999,n5)
| ~ leq(n1,n5) ),
inference(superposition,[status(thm)],[c_4147,c_5324]) ).
tcf(c_10646,plain,
( ( a_select3(q_ds1_filter,n3,n999) = a_select3(q_ds1_filter,n999,n3) )
| ~ leq(n999,n5)
| ~ leq(n3,n5) ),
inference(superposition,[status(thm)],[c_4152,c_5324]) ).
tcf(c_10648,plain,
( ( a_select3(q_ds1_filter,n6,n999) = a_select3(q_ds1_filter,n999,n6) )
| ~ leq(n999,n5)
| ~ leq(n6,n5) ),
inference(superposition,[status(thm)],[c_4164,c_5324]) ).
tcf(c_10649,plain,
( ( a_select3(q_ds1_filter,plus(n1,n0),n999) = a_select3(q_ds1_filter,n999,plus(n1,n0)) )
| ~ leq(n999,n5)
| ~ leq(plus(n1,n0),n5) ),
inference(superposition,[status(thm)],[c_4168,c_5324]) ).
tcf(c_10650,plain,
( ( a_select3(q_ds1_filter,n999,n2) = a_select3(q_ds1_filter,n2,n999) )
| ~ leq(n2,n5)
| ~ leq(n999,n5) ),
inference(superposition,[status(thm)],[c_4171,c_5324]) ).
tcf(c_10651,plain,
( ( a_select3(q_ds1_filter,n999,n4) = a_select3(q_ds1_filter,n4,n999) )
| ~ leq(n4,n5)
| ~ leq(n999,n5) ),
inference(superposition,[status(thm)],[c_4173,c_5324]) ).
tcf(c_10652,plain,
( ( a_select3(q_ds1_filter,n999,n5) = a_select3(q_ds1_filter,n5,n999) )
| ~ leq(n5,n5)
| ~ leq(n999,n5) ),
inference(superposition,[status(thm)],[c_4176,c_5324]) ).
tcf(c_10653,plain,
( ( a_select3(q_ds1_filter,minus(n999,n1),n999) = a_select3(q_ds1_filter,n999,minus(n999,n1)) )
| ~ leq(n999,n5)
| ~ leq(minus(n999,n1),n5) ),
inference(superposition,[status(thm)],[c_6336,c_5324]) ).
tcf(c_10654,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,minus(X0,n1),n999) = a_select3(q_ds1_filter,n999,minus(X0,n1)) )
| ~ leq(n999,n5)
| ~ gt(X0,pv5)
| ~ leq(minus(X0,n1),n5) ),
inference(superposition,[status(thm)],[c_6339,c_5324]) ).
tcf(c_10655,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,plus(n1,X0),n999) = a_select3(q_ds1_filter,n999,plus(n1,X0)) )
| ~ leq(n999,n5)
| ~ leq(pv5,X0)
| ~ leq(plus(n1,X0),n5) ),
inference(superposition,[status(thm)],[c_6337,c_5324]) ).
tcf(c_10656,plain,
( ( a_select3(q_ds1_filter,plus(n0,n1),n999) = a_select3(q_ds1_filter,n999,plus(n0,n1)) )
| ~ leq(n999,n5)
| ~ leq(plus(n0,n1),n5) ),
inference(superposition,[status(thm)],[c_8568,c_5324]) ).
tcf(c_10657,plain,
( ( a_select3(q_ds1_filter,plus(n1,pv5),n999) = a_select3(q_ds1_filter,n999,plus(n1,pv5)) )
| ~ leq(n999,n5)
| ~ leq(plus(n1,pv5),n5) ),
inference(superposition,[status(thm)],[c_8605,c_5324]) ).
tcf(c_10658,plain,
( ( a_select3(q_ds1_filter,plus(n2,n0),n999) = a_select3(q_ds1_filter,n999,plus(n2,n0)) )
| ~ leq(n999,n5)
| ~ leq(plus(n2,n0),n5) ),
inference(superposition,[status(thm)],[c_9120,c_5324]) ).
tcf(c_10659,plain,
( ( a_select3(q_ds1_filter,plus(n2,pv5),n999) = a_select3(q_ds1_filter,n999,plus(n2,pv5)) )
| ~ leq(n999,n5)
| ~ leq(plus(n2,pv5),n5) ),
inference(superposition,[status(thm)],[c_9152,c_5324]) ).
tcf(c_10660,plain,
( ( a_select3(q_ds1_filter,plus(n0,n3),n999) = a_select3(q_ds1_filter,n999,plus(n0,n3)) )
| ~ leq(n999,n5)
| ~ leq(plus(n0,n3),n5) ),
inference(superposition,[status(thm)],[c_9227,c_5324]) ).
tcf(c_10661,plain,
( ( a_select3(q_ds1_filter,plus(n1,n999),n999) = a_select3(q_ds1_filter,n999,plus(n1,n999)) )
| ~ leq(n999,n5)
| ~ leq(plus(n1,n999),n5) ),
inference(superposition,[status(thm)],[c_9240,c_5324]) ).
tcf(c_10662,plain,
( ( a_select3(q_ds1_filter,plus(n3,n0),n999) = a_select3(q_ds1_filter,n999,plus(n3,n0)) )
| ~ leq(n999,n5)
| ~ leq(plus(n3,n0),n5) ),
inference(superposition,[status(thm)],[c_9418,c_5324]) ).
tcf(c_10663,plain,
( ( a_select3(q_ds1_filter,plus(n3,pv5),n999) = a_select3(q_ds1_filter,n999,plus(n3,pv5)) )
| ~ leq(n999,n5)
| ~ leq(plus(n3,pv5),n5) ),
inference(superposition,[status(thm)],[c_10108,c_5324]) ).
tcf(c_10665,plain,
( ( a_select3(q_ds1_filter,n999,n4) = a_select3(q_ds1_filter,n4,n999) )
| ~ leq(n999,n5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10651,c_4175]) ).
tcf(c_10668,plain,
( ( a_select3(q_ds1_filter,n999,n2) = a_select3(q_ds1_filter,n2,n999) )
| ~ leq(n999,n5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10650,c_4169]) ).
tcf(c_10674,plain,
( ( a_select3(q_ds1_filter,n3,n999) = a_select3(q_ds1_filter,n999,n3) )
| ~ leq(n999,n5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10646,c_4149]) ).
tcf(c_10677,plain,
( ( a_select3(q_ds1_filter,n1,n999) = a_select3(q_ds1_filter,n999,n1) )
| ~ leq(n999,n5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10645,c_4145]) ).
tcf(c_10762,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,plus(n1,X0),n999) = a_select3(pminus_ds1_filter,n999,plus(n1,X0)) )
| ~ leq(n999,n5)
| ~ leq(n0,X0)
| ~ leq(plus(n1,X0),n5) ),
inference(superposition,[status(thm)],[c_82,c_5326]) ).
tcf(c_10764,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,minus(X0,n1),n999) = a_select3(pminus_ds1_filter,n999,minus(X0,n1)) )
| ~ leq(n999,n5)
| ~ gt(X0,n0)
| ~ leq(minus(X0,n1),n5) ),
inference(superposition,[status(thm)],[c_145,c_5326]) ).
tcf(c_10765,plain,
( ( a_select3(pminus_ds1_filter,n1,n999) = a_select3(pminus_ds1_filter,n999,n1) )
| ~ leq(n999,n5)
| ~ leq(n1,n5) ),
inference(superposition,[status(thm)],[c_4147,c_5326]) ).
tcf(c_10766,plain,
( ( a_select3(pminus_ds1_filter,n3,n999) = a_select3(pminus_ds1_filter,n999,n3) )
| ~ leq(n999,n5)
| ~ leq(n3,n5) ),
inference(superposition,[status(thm)],[c_4152,c_5326]) ).
tcf(c_10768,plain,
( ( a_select3(pminus_ds1_filter,n6,n999) = a_select3(pminus_ds1_filter,n999,n6) )
| ~ leq(n999,n5)
| ~ leq(n6,n5) ),
inference(superposition,[status(thm)],[c_4164,c_5326]) ).
tcf(c_10769,plain,
( ( a_select3(pminus_ds1_filter,plus(n1,n0),n999) = a_select3(pminus_ds1_filter,n999,plus(n1,n0)) )
| ~ leq(n999,n5)
| ~ leq(plus(n1,n0),n5) ),
inference(superposition,[status(thm)],[c_4168,c_5326]) ).
tcf(c_10770,plain,
( ( a_select3(pminus_ds1_filter,n999,n2) = a_select3(pminus_ds1_filter,n2,n999) )
| ~ leq(n2,n5)
| ~ leq(n999,n5) ),
inference(superposition,[status(thm)],[c_4171,c_5326]) ).
tcf(c_10771,plain,
( ( a_select3(pminus_ds1_filter,n999,n4) = a_select3(pminus_ds1_filter,n4,n999) )
| ~ leq(n4,n5)
| ~ leq(n999,n5) ),
inference(superposition,[status(thm)],[c_4173,c_5326]) ).
tcf(c_10772,plain,
( ( a_select3(pminus_ds1_filter,n999,n5) = a_select3(pminus_ds1_filter,n5,n999) )
| ~ leq(n5,n5)
| ~ leq(n999,n5) ),
inference(superposition,[status(thm)],[c_4176,c_5326]) ).
tcf(c_10773,plain,
( ( a_select3(pminus_ds1_filter,minus(n999,n1),n999) = a_select3(pminus_ds1_filter,n999,minus(n999,n1)) )
| ~ leq(n999,n5)
| ~ leq(minus(n999,n1),n5) ),
inference(superposition,[status(thm)],[c_6336,c_5326]) ).
tcf(c_10774,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,minus(X0,n1),n999) = a_select3(pminus_ds1_filter,n999,minus(X0,n1)) )
| ~ leq(n999,n5)
| ~ gt(X0,pv5)
| ~ leq(minus(X0,n1),n5) ),
inference(superposition,[status(thm)],[c_6339,c_5326]) ).
tcf(c_10775,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,plus(n1,X0),n999) = a_select3(pminus_ds1_filter,n999,plus(n1,X0)) )
| ~ leq(n999,n5)
| ~ leq(pv5,X0)
| ~ leq(plus(n1,X0),n5) ),
inference(superposition,[status(thm)],[c_6337,c_5326]) ).
tcf(c_10776,plain,
( ( a_select3(pminus_ds1_filter,plus(n0,n1),n999) = a_select3(pminus_ds1_filter,n999,plus(n0,n1)) )
| ~ leq(n999,n5)
| ~ leq(plus(n0,n1),n5) ),
inference(superposition,[status(thm)],[c_8568,c_5326]) ).
tcf(c_10777,plain,
( ( a_select3(pminus_ds1_filter,plus(n1,pv5),n999) = a_select3(pminus_ds1_filter,n999,plus(n1,pv5)) )
| ~ leq(n999,n5)
| ~ leq(plus(n1,pv5),n5) ),
inference(superposition,[status(thm)],[c_8605,c_5326]) ).
tcf(c_10778,plain,
( ( a_select3(pminus_ds1_filter,plus(n2,n0),n999) = a_select3(pminus_ds1_filter,n999,plus(n2,n0)) )
| ~ leq(n999,n5)
| ~ leq(plus(n2,n0),n5) ),
inference(superposition,[status(thm)],[c_9120,c_5326]) ).
tcf(c_10779,plain,
( ( a_select3(pminus_ds1_filter,plus(n2,pv5),n999) = a_select3(pminus_ds1_filter,n999,plus(n2,pv5)) )
| ~ leq(n999,n5)
| ~ leq(plus(n2,pv5),n5) ),
inference(superposition,[status(thm)],[c_9152,c_5326]) ).
tcf(c_10780,plain,
( ( a_select3(pminus_ds1_filter,plus(n0,n3),n999) = a_select3(pminus_ds1_filter,n999,plus(n0,n3)) )
| ~ leq(n999,n5)
| ~ leq(plus(n0,n3),n5) ),
inference(superposition,[status(thm)],[c_9227,c_5326]) ).
tcf(c_10781,plain,
( ( a_select3(pminus_ds1_filter,plus(n1,n999),n999) = a_select3(pminus_ds1_filter,n999,plus(n1,n999)) )
| ~ leq(n999,n5)
| ~ leq(plus(n1,n999),n5) ),
inference(superposition,[status(thm)],[c_9240,c_5326]) ).
tcf(c_10782,plain,
( ( a_select3(pminus_ds1_filter,plus(n3,n0),n999) = a_select3(pminus_ds1_filter,n999,plus(n3,n0)) )
| ~ leq(n999,n5)
| ~ leq(plus(n3,n0),n5) ),
inference(superposition,[status(thm)],[c_9418,c_5326]) ).
tcf(c_10783,plain,
( ( a_select3(pminus_ds1_filter,plus(n3,pv5),n999) = a_select3(pminus_ds1_filter,n999,plus(n3,pv5)) )
| ~ leq(n999,n5)
| ~ leq(plus(n3,pv5),n5) ),
inference(superposition,[status(thm)],[c_10108,c_5326]) ).
tcf(c_10785,plain,
( ( a_select3(pminus_ds1_filter,n999,n4) = a_select3(pminus_ds1_filter,n4,n999) )
| ~ leq(n999,n5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10771,c_4175]) ).
tcf(c_10788,plain,
( ( a_select3(pminus_ds1_filter,n999,n2) = a_select3(pminus_ds1_filter,n2,n999) )
| ~ leq(n999,n5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10770,c_4169]) ).
tcf(c_10794,plain,
( ( a_select3(pminus_ds1_filter,n3,n999) = a_select3(pminus_ds1_filter,n999,n3) )
| ~ leq(n999,n5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10766,c_4149]) ).
tcf(c_10797,plain,
( ( a_select3(pminus_ds1_filter,n1,n999) = a_select3(pminus_ds1_filter,n999,n1) )
| ~ leq(n999,n5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10765,c_4145]) ).
tcf(c_10898,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,plus(n1,X0),n999) = a_select3(r_ds1_filter,n999,plus(n1,X0)) )
| ~ leq(n999,n2)
| ~ leq(n0,X0)
| ~ leq(plus(n1,X0),n2) ),
inference(superposition,[status(thm)],[c_82,c_5328]) ).
tcf(c_10900,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,minus(X0,n1),n999) = a_select3(r_ds1_filter,n999,minus(X0,n1)) )
| ~ leq(n999,n2)
| ~ gt(X0,n0)
| ~ leq(minus(X0,n1),n2) ),
inference(superposition,[status(thm)],[c_145,c_5328]) ).
tcf(c_10901,plain,
( ( a_select3(r_ds1_filter,n1,n999) = a_select3(r_ds1_filter,n999,n1) )
| ~ leq(n999,n2)
| ~ leq(n1,n2) ),
inference(superposition,[status(thm)],[c_4147,c_5328]) ).
tcf(c_10904,plain,
( ( a_select3(r_ds1_filter,n6,n999) = a_select3(r_ds1_filter,n999,n6) )
| ~ leq(n999,n2)
| ~ leq(n6,n2) ),
inference(superposition,[status(thm)],[c_4164,c_5328]) ).
tcf(c_10905,plain,
( ( a_select3(r_ds1_filter,plus(n1,n0),n999) = a_select3(r_ds1_filter,n999,plus(n1,n0)) )
| ~ leq(n999,n2)
| ~ leq(plus(n1,n0),n2) ),
inference(superposition,[status(thm)],[c_4168,c_5328]) ).
tcf(c_10906,plain,
( ( a_select3(r_ds1_filter,n999,n2) = a_select3(r_ds1_filter,n2,n999) )
| ~ leq(n2,n2)
| ~ leq(n999,n2) ),
inference(superposition,[status(thm)],[c_4171,c_5328]) ).
tcf(c_10907,plain,
( ( a_select3(r_ds1_filter,n999,n4) = a_select3(r_ds1_filter,n4,n999) )
| ~ leq(n4,n2)
| ~ leq(n999,n2) ),
inference(superposition,[status(thm)],[c_4173,c_5328]) ).
tcf(c_10908,plain,
( ( a_select3(r_ds1_filter,n999,n5) = a_select3(r_ds1_filter,n5,n999) )
| ~ leq(n5,n2)
| ~ leq(n999,n2) ),
inference(superposition,[status(thm)],[c_4176,c_5328]) ).
tcf(c_10909,plain,
( ( a_select3(r_ds1_filter,minus(n999,n1),n999) = a_select3(r_ds1_filter,n999,minus(n999,n1)) )
| ~ leq(n999,n2)
| ~ leq(minus(n999,n1),n2) ),
inference(superposition,[status(thm)],[c_6336,c_5328]) ).
tcf(c_10910,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,minus(X0,n1),n999) = a_select3(r_ds1_filter,n999,minus(X0,n1)) )
| ~ leq(n999,n2)
| ~ gt(X0,pv5)
| ~ leq(minus(X0,n1),n2) ),
inference(superposition,[status(thm)],[c_6339,c_5328]) ).
tcf(c_10911,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,plus(n1,X0),n999) = a_select3(r_ds1_filter,n999,plus(n1,X0)) )
| ~ leq(n999,n2)
| ~ leq(pv5,X0)
| ~ leq(plus(n1,X0),n2) ),
inference(superposition,[status(thm)],[c_6337,c_5328]) ).
tcf(c_10912,plain,
( ( a_select3(r_ds1_filter,plus(n0,n1),n999) = a_select3(r_ds1_filter,n999,plus(n0,n1)) )
| ~ leq(n999,n2)
| ~ leq(plus(n0,n1),n2) ),
inference(superposition,[status(thm)],[c_8568,c_5328]) ).
tcf(c_10913,plain,
( ( a_select3(r_ds1_filter,plus(n1,pv5),n999) = a_select3(r_ds1_filter,n999,plus(n1,pv5)) )
| ~ leq(n999,n2)
| ~ leq(plus(n1,pv5),n2) ),
inference(superposition,[status(thm)],[c_8605,c_5328]) ).
tcf(c_10914,plain,
( ( a_select3(r_ds1_filter,plus(n2,n0),n999) = a_select3(r_ds1_filter,n999,plus(n2,n0)) )
| ~ leq(n999,n2)
| ~ leq(plus(n2,n0),n2) ),
inference(superposition,[status(thm)],[c_9120,c_5328]) ).
tcf(c_10915,plain,
( ( a_select3(r_ds1_filter,plus(n2,pv5),n999) = a_select3(r_ds1_filter,n999,plus(n2,pv5)) )
| ~ leq(n999,n2)
| ~ leq(plus(n2,pv5),n2) ),
inference(superposition,[status(thm)],[c_9152,c_5328]) ).
tcf(c_10916,plain,
( ( a_select3(r_ds1_filter,plus(n0,n3),n999) = a_select3(r_ds1_filter,n999,plus(n0,n3)) )
| ~ leq(n999,n2)
| ~ leq(plus(n0,n3),n2) ),
inference(superposition,[status(thm)],[c_9227,c_5328]) ).
tcf(c_10917,plain,
( ( a_select3(r_ds1_filter,plus(n1,n999),n999) = a_select3(r_ds1_filter,n999,plus(n1,n999)) )
| ~ leq(n999,n2)
| ~ leq(plus(n1,n999),n2) ),
inference(superposition,[status(thm)],[c_9240,c_5328]) ).
tcf(c_10918,plain,
( ( a_select3(r_ds1_filter,plus(n3,n0),n999) = a_select3(r_ds1_filter,n999,plus(n3,n0)) )
| ~ leq(n999,n2)
| ~ leq(plus(n3,n0),n2) ),
inference(superposition,[status(thm)],[c_9418,c_5328]) ).
tcf(c_10919,plain,
( ( a_select3(r_ds1_filter,plus(n3,pv5),n999) = a_select3(r_ds1_filter,n999,plus(n3,pv5)) )
| ~ leq(n999,n2)
| ~ leq(plus(n3,pv5),n2) ),
inference(superposition,[status(thm)],[c_10108,c_5328]) ).
tcf(c_10930,plain,
( ( a_select3(r_ds1_filter,n1,n999) = a_select3(r_ds1_filter,n999,n1) )
| ~ leq(n999,n2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10901,c_4144]) ).
tcf(c_11029,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,plus(n1,X0),n6) = a_select3(q_ds1_filter,n6,plus(n1,X0)) )
| ~ leq(n6,n5)
| ~ leq(n0,X0)
| ~ leq(plus(n1,X0),n5) ),
inference(superposition,[status(thm)],[c_82,c_6277]) ).
tcf(c_11031,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,minus(X0,n1),n6) = a_select3(q_ds1_filter,n6,minus(X0,n1)) )
| ~ leq(n6,n5)
| ~ gt(X0,n0)
| ~ leq(minus(X0,n1),n5) ),
inference(superposition,[status(thm)],[c_145,c_6277]) ).
tcf(c_11032,plain,
( ( a_select3(q_ds1_filter,n1,n6) = a_select3(q_ds1_filter,n6,n1) )
| ~ leq(n6,n5)
| ~ leq(n1,n5) ),
inference(superposition,[status(thm)],[c_4147,c_6277]) ).
tcf(c_11033,plain,
( ( a_select3(q_ds1_filter,n3,n6) = a_select3(q_ds1_filter,n6,n3) )
| ~ leq(n6,n5)
| ~ leq(n3,n5) ),
inference(superposition,[status(thm)],[c_4152,c_6277]) ).
tcf(c_11036,plain,
( ( a_select3(q_ds1_filter,plus(n1,n0),n6) = a_select3(q_ds1_filter,n6,plus(n1,n0)) )
| ~ leq(n6,n5)
| ~ leq(plus(n1,n0),n5) ),
inference(superposition,[status(thm)],[c_4168,c_6277]) ).
tcf(c_11037,plain,
( ( a_select3(q_ds1_filter,n6,n2) = a_select3(q_ds1_filter,n2,n6) )
| ~ leq(n2,n5)
| ~ leq(n6,n5) ),
inference(superposition,[status(thm)],[c_4171,c_6277]) ).
tcf(c_11038,plain,
( ( a_select3(q_ds1_filter,n6,n4) = a_select3(q_ds1_filter,n4,n6) )
| ~ leq(n4,n5)
| ~ leq(n6,n5) ),
inference(superposition,[status(thm)],[c_4173,c_6277]) ).
tcf(c_11039,plain,
( ( a_select3(q_ds1_filter,n6,n5) = a_select3(q_ds1_filter,n5,n6) )
| ~ leq(n5,n5)
| ~ leq(n6,n5) ),
inference(superposition,[status(thm)],[c_4176,c_6277]) ).
tcf(c_11040,plain,
( ( a_select3(q_ds1_filter,minus(n999,n1),n6) = a_select3(q_ds1_filter,n6,minus(n999,n1)) )
| ~ leq(n6,n5)
| ~ leq(minus(n999,n1),n5) ),
inference(superposition,[status(thm)],[c_6336,c_6277]) ).
tcf(c_11041,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,minus(X0,n1),n6) = a_select3(q_ds1_filter,n6,minus(X0,n1)) )
| ~ leq(n6,n5)
| ~ gt(X0,pv5)
| ~ leq(minus(X0,n1),n5) ),
inference(superposition,[status(thm)],[c_6339,c_6277]) ).
tcf(c_11042,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,plus(n1,X0),n6) = a_select3(q_ds1_filter,n6,plus(n1,X0)) )
| ~ leq(n6,n5)
| ~ leq(pv5,X0)
| ~ leq(plus(n1,X0),n5) ),
inference(superposition,[status(thm)],[c_6337,c_6277]) ).
tcf(c_11043,plain,
( ( a_select3(q_ds1_filter,plus(n0,n1),n6) = a_select3(q_ds1_filter,n6,plus(n0,n1)) )
| ~ leq(n6,n5)
| ~ leq(plus(n0,n1),n5) ),
inference(superposition,[status(thm)],[c_8568,c_6277]) ).
tcf(c_11044,plain,
( ( a_select3(q_ds1_filter,plus(n1,pv5),n6) = a_select3(q_ds1_filter,n6,plus(n1,pv5)) )
| ~ leq(n6,n5)
| ~ leq(plus(n1,pv5),n5) ),
inference(superposition,[status(thm)],[c_8605,c_6277]) ).
tcf(c_11045,plain,
( ( a_select3(q_ds1_filter,plus(n2,n0),n6) = a_select3(q_ds1_filter,n6,plus(n2,n0)) )
| ~ leq(n6,n5)
| ~ leq(plus(n2,n0),n5) ),
inference(superposition,[status(thm)],[c_9120,c_6277]) ).
tcf(c_11046,plain,
( ( a_select3(q_ds1_filter,plus(n2,pv5),n6) = a_select3(q_ds1_filter,n6,plus(n2,pv5)) )
| ~ leq(n6,n5)
| ~ leq(plus(n2,pv5),n5) ),
inference(superposition,[status(thm)],[c_9152,c_6277]) ).
tcf(c_11047,plain,
( ( a_select3(q_ds1_filter,plus(n0,n3),n6) = a_select3(q_ds1_filter,n6,plus(n0,n3)) )
| ~ leq(n6,n5)
| ~ leq(plus(n0,n3),n5) ),
inference(superposition,[status(thm)],[c_9227,c_6277]) ).
tcf(c_11048,plain,
( ( a_select3(q_ds1_filter,plus(n1,n999),n6) = a_select3(q_ds1_filter,n6,plus(n1,n999)) )
| ~ leq(n6,n5)
| ~ leq(plus(n1,n999),n5) ),
inference(superposition,[status(thm)],[c_9240,c_6277]) ).
tcf(c_11049,plain,
( ( a_select3(q_ds1_filter,plus(n3,n0),n6) = a_select3(q_ds1_filter,n6,plus(n3,n0)) )
| ~ leq(n6,n5)
| ~ leq(plus(n3,n0),n5) ),
inference(superposition,[status(thm)],[c_9418,c_6277]) ).
tcf(c_11050,plain,
( ( a_select3(q_ds1_filter,plus(n3,pv5),n6) = a_select3(q_ds1_filter,n6,plus(n3,pv5)) )
| ~ leq(n6,n5)
| ~ leq(plus(n3,pv5),n5) ),
inference(superposition,[status(thm)],[c_10108,c_6277]) ).
tcf(c_11052,plain,
( ( a_select3(q_ds1_filter,n6,n4) = a_select3(q_ds1_filter,n4,n6) )
| ~ leq(n6,n5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11038,c_4175]) ).
tcf(c_11055,plain,
( ( a_select3(q_ds1_filter,n6,n2) = a_select3(q_ds1_filter,n2,n6) )
| ~ leq(n6,n5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11037,c_4169]) ).
tcf(c_11058,plain,
( ( a_select3(q_ds1_filter,n3,n6) = a_select3(q_ds1_filter,n6,n3) )
| ~ leq(n6,n5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11033,c_4149]) ).
tcf(c_11061,plain,
( ( a_select3(q_ds1_filter,n1,n6) = a_select3(q_ds1_filter,n6,n1) )
| ~ leq(n6,n5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11032,c_4145]) ).
tcf(c_11163,plain,
! [X0: $i] : ~ leq(plus(n1,plus(n1,X0)),X0),
inference(superposition,[status(thm)],[c_82,c_4628]) ).
tcf(c_11164,plain,
! [X0: $i] : ~ gt(X0,plus(n1,minus(X0,n1))),
inference(superposition,[status(thm)],[c_145,c_4628]) ).
tcf(c_11165,plain,
! [X0: $i] : ~ leq(plus(X0,n1),X0),
inference(superposition,[status(thm)],[c_151,c_4628]) ).
tcf(c_11166,plain,
~ leq(n1,n0),
inference(superposition,[status(thm)],[c_86,c_4628]) ).
tcf(c_11167,plain,
! [X0: $i] : ~ leq(plus(X0,n2),plus(n1,X0)),
inference(superposition,[status(thm)],[c_150,c_4628]) ).
tcf(c_11168,plain,
! [X0: $i] : ~ leq(plus(n2,X0),plus(n1,X0)),
inference(superposition,[status(thm)],[c_149,c_4628]) ).
tcf(c_11169,plain,
~ leq(n0,tptp_minus_1),
inference(superposition,[status(thm)],[c_142,c_4628]) ).
tcf(c_11170,plain,
! [X0: $i] : ~ leq(X0,minus(X0,n1)),
inference(superposition,[status(thm)],[c_143,c_4628]) ).
tcf(c_11171,plain,
~ leq(n2,n1),
inference(superposition,[status(thm)],[c_897,c_4628]) ).
tcf(c_11172,plain,
~ leq(n3,n2),
inference(superposition,[status(thm)],[c_926,c_4628]) ).
tcf(c_11173,plain,
~ leq(n4,n3),
inference(superposition,[status(thm)],[c_961,c_4628]) ).
tcf(c_11174,plain,
~ leq(n5,n4),
inference(superposition,[status(thm)],[c_988,c_4628]) ).
tcf(c_11175,plain,
~ leq(n6,n5),
inference(superposition,[status(thm)],[c_993,c_4628]) ).
tcf(c_11176,plain,
! [X0: $i] : ~ leq(plus(X0,n3),plus(n2,X0)),
inference(superposition,[status(thm)],[c_959,c_4628]) ).
tcf(c_11177,plain,
! [X0: $i] : ~ leq(plus(X0,n4),plus(X0,n3)),
inference(superposition,[status(thm)],[c_989,c_4628]) ).
tcf(c_11178,plain,
! [X0: $i] : ~ leq(plus(X0,n5),plus(X0,n4)),
inference(superposition,[status(thm)],[c_991,c_4628]) ).
tcf(c_11179,plain,
! [X0: $i] : ~ leq(plus(X0,n4),plus(n3,X0)),
inference(superposition,[status(thm)],[c_4026,c_4628]) ).
tcf(c_11181,plain,
! [X0: $i] : ~ leq(plus(n2,X0),X0),
inference(light_normalisation,[status(thm)],[c_11163,c_149]) ).
tcf(c_11203,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,plus(n1,X0),n6) = a_select3(r_ds1_filter,n6,plus(n1,X0)) )
| ~ leq(n6,n2)
| ~ leq(n0,X0)
| ~ leq(plus(n1,X0),n2) ),
inference(superposition,[status(thm)],[c_82,c_6281]) ).
tcf(c_11205,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,minus(X0,n1),n6) = a_select3(r_ds1_filter,n6,minus(X0,n1)) )
| ~ leq(n6,n2)
| ~ gt(X0,n0)
| ~ leq(minus(X0,n1),n2) ),
inference(superposition,[status(thm)],[c_145,c_6281]) ).
tcf(c_11206,plain,
( ( a_select3(r_ds1_filter,n1,n6) = a_select3(r_ds1_filter,n6,n1) )
| ~ leq(n6,n2)
| ~ leq(n1,n2) ),
inference(superposition,[status(thm)],[c_4147,c_6281]) ).
tcf(c_11210,plain,
( ( a_select3(r_ds1_filter,plus(n1,n0),n6) = a_select3(r_ds1_filter,n6,plus(n1,n0)) )
| ~ leq(n6,n2)
| ~ leq(plus(n1,n0),n2) ),
inference(superposition,[status(thm)],[c_4168,c_6281]) ).
tcf(c_11211,plain,
( ( a_select3(r_ds1_filter,n6,n2) = a_select3(r_ds1_filter,n2,n6) )
| ~ leq(n2,n2)
| ~ leq(n6,n2) ),
inference(superposition,[status(thm)],[c_4171,c_6281]) ).
tcf(c_11212,plain,
( ( a_select3(r_ds1_filter,n6,n4) = a_select3(r_ds1_filter,n4,n6) )
| ~ leq(n4,n2)
| ~ leq(n6,n2) ),
inference(superposition,[status(thm)],[c_4173,c_6281]) ).
tcf(c_11213,plain,
( ( a_select3(r_ds1_filter,n6,n5) = a_select3(r_ds1_filter,n5,n6) )
| ~ leq(n5,n2)
| ~ leq(n6,n2) ),
inference(superposition,[status(thm)],[c_4176,c_6281]) ).
tcf(c_11214,plain,
( ( a_select3(r_ds1_filter,minus(n999,n1),n6) = a_select3(r_ds1_filter,n6,minus(n999,n1)) )
| ~ leq(n6,n2)
| ~ leq(minus(n999,n1),n2) ),
inference(superposition,[status(thm)],[c_6336,c_6281]) ).
tcf(c_11215,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,minus(X0,n1),n6) = a_select3(r_ds1_filter,n6,minus(X0,n1)) )
| ~ leq(n6,n2)
| ~ gt(X0,pv5)
| ~ leq(minus(X0,n1),n2) ),
inference(superposition,[status(thm)],[c_6339,c_6281]) ).
tcf(c_11216,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,plus(n1,X0),n6) = a_select3(r_ds1_filter,n6,plus(n1,X0)) )
| ~ leq(n6,n2)
| ~ leq(pv5,X0)
| ~ leq(plus(n1,X0),n2) ),
inference(superposition,[status(thm)],[c_6337,c_6281]) ).
tcf(c_11217,plain,
( ( a_select3(r_ds1_filter,plus(n0,n1),n6) = a_select3(r_ds1_filter,n6,plus(n0,n1)) )
| ~ leq(n6,n2)
| ~ leq(plus(n0,n1),n2) ),
inference(superposition,[status(thm)],[c_8568,c_6281]) ).
tcf(c_11218,plain,
( ( a_select3(r_ds1_filter,plus(n1,pv5),n6) = a_select3(r_ds1_filter,n6,plus(n1,pv5)) )
| ~ leq(n6,n2)
| ~ leq(plus(n1,pv5),n2) ),
inference(superposition,[status(thm)],[c_8605,c_6281]) ).
tcf(c_11219,plain,
( ( a_select3(r_ds1_filter,plus(n2,n0),n6) = a_select3(r_ds1_filter,n6,plus(n2,n0)) )
| ~ leq(n6,n2)
| ~ leq(plus(n2,n0),n2) ),
inference(superposition,[status(thm)],[c_9120,c_6281]) ).
tcf(c_11220,plain,
( ( a_select3(r_ds1_filter,plus(n2,pv5),n6) = a_select3(r_ds1_filter,n6,plus(n2,pv5)) )
| ~ leq(n6,n2)
| ~ leq(plus(n2,pv5),n2) ),
inference(superposition,[status(thm)],[c_9152,c_6281]) ).
tcf(c_11221,plain,
( ( a_select3(r_ds1_filter,plus(n0,n3),n6) = a_select3(r_ds1_filter,n6,plus(n0,n3)) )
| ~ leq(n6,n2)
| ~ leq(plus(n0,n3),n2) ),
inference(superposition,[status(thm)],[c_9227,c_6281]) ).
tcf(c_11222,plain,
( ( a_select3(r_ds1_filter,plus(n1,n999),n6) = a_select3(r_ds1_filter,n6,plus(n1,n999)) )
| ~ leq(n6,n2)
| ~ leq(plus(n1,n999),n2) ),
inference(superposition,[status(thm)],[c_9240,c_6281]) ).
tcf(c_11223,plain,
( ( a_select3(r_ds1_filter,plus(n3,n0),n6) = a_select3(r_ds1_filter,n6,plus(n3,n0)) )
| ~ leq(n6,n2)
| ~ leq(plus(n3,n0),n2) ),
inference(superposition,[status(thm)],[c_9418,c_6281]) ).
tcf(c_11224,plain,
( ( a_select3(r_ds1_filter,plus(n3,pv5),n6) = a_select3(r_ds1_filter,n6,plus(n3,pv5)) )
| ~ leq(n6,n2)
| ~ leq(plus(n3,pv5),n2) ),
inference(superposition,[status(thm)],[c_10108,c_6281]) ).
tcf(c_11232,plain,
( ( a_select3(r_ds1_filter,n1,n6) = a_select3(r_ds1_filter,n6,n1) )
| ~ leq(n6,n2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11206,c_4144]) ).
tcf(c_11289,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,X0,n4) = a_select3(q_ds1_filter,n4,X0) )
| ~ leq(X0,n5)
| ~ leq(n0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_7473,c_4175,c_7473]) ).
tcf(c_11290,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,X0,n4) = a_select3(q_ds1_filter,n4,X0) )
| ~ leq(n0,X0)
| ~ leq(X0,n5) ),
inference(renaming,[status(thm)],[c_11289]) ).
tcf(c_11301,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,plus(n1,X0),n4) = a_select3(q_ds1_filter,n4,plus(n1,X0)) )
| ~ leq(n0,X0)
| ~ leq(plus(n1,X0),n5) ),
inference(superposition,[status(thm)],[c_82,c_11290]) ).
tcf(c_11303,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,minus(X0,n1),n4) = a_select3(q_ds1_filter,n4,minus(X0,n1)) )
| ~ gt(X0,n0)
| ~ leq(minus(X0,n1),n5) ),
inference(superposition,[status(thm)],[c_145,c_11290]) ).
tcf(c_11304,plain,
( ( a_select3(q_ds1_filter,n1,n4) = a_select3(q_ds1_filter,n4,n1) )
| ~ leq(n1,n5) ),
inference(superposition,[status(thm)],[c_4147,c_11290]) ).
tcf(c_11305,plain,
( ( a_select3(q_ds1_filter,n3,n4) = a_select3(q_ds1_filter,n4,n3) )
| ~ leq(n3,n5) ),
inference(superposition,[status(thm)],[c_4152,c_11290]) ).
tcf(c_11308,plain,
( ( a_select3(q_ds1_filter,plus(n1,n0),n4) = a_select3(q_ds1_filter,n4,plus(n1,n0)) )
| ~ leq(plus(n1,n0),n5) ),
inference(superposition,[status(thm)],[c_4168,c_11290]) ).
tcf(c_11309,plain,
( ( a_select3(q_ds1_filter,n2,n4) = a_select3(q_ds1_filter,n4,n2) )
| ~ leq(n2,n5) ),
inference(superposition,[status(thm)],[c_4171,c_11290]) ).
tcf(c_11311,plain,
( ( a_select3(q_ds1_filter,n4,n5) = a_select3(q_ds1_filter,n5,n4) )
| ~ leq(n5,n5) ),
inference(superposition,[status(thm)],[c_4176,c_11290]) ).
tcf(c_11312,plain,
( ( a_select3(q_ds1_filter,minus(n999,n1),n4) = a_select3(q_ds1_filter,n4,minus(n999,n1)) )
| ~ leq(minus(n999,n1),n5) ),
inference(superposition,[status(thm)],[c_6336,c_11290]) ).
tcf(c_11313,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,minus(X0,n1),n4) = a_select3(q_ds1_filter,n4,minus(X0,n1)) )
| ~ gt(X0,pv5)
| ~ leq(minus(X0,n1),n5) ),
inference(superposition,[status(thm)],[c_6339,c_11290]) ).
tcf(c_11314,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,plus(n1,X0),n4) = a_select3(q_ds1_filter,n4,plus(n1,X0)) )
| ~ leq(pv5,X0)
| ~ leq(plus(n1,X0),n5) ),
inference(superposition,[status(thm)],[c_6337,c_11290]) ).
tcf(c_11315,plain,
( ( a_select3(q_ds1_filter,plus(n0,n1),n4) = a_select3(q_ds1_filter,n4,plus(n0,n1)) )
| ~ leq(plus(n0,n1),n5) ),
inference(superposition,[status(thm)],[c_8568,c_11290]) ).
tcf(c_11316,plain,
( ( a_select3(q_ds1_filter,plus(n1,pv5),n4) = a_select3(q_ds1_filter,n4,plus(n1,pv5)) )
| ~ leq(plus(n1,pv5),n5) ),
inference(superposition,[status(thm)],[c_8605,c_11290]) ).
tcf(c_11317,plain,
( ( a_select3(q_ds1_filter,plus(n2,n0),n4) = a_select3(q_ds1_filter,n4,plus(n2,n0)) )
| ~ leq(plus(n2,n0),n5) ),
inference(superposition,[status(thm)],[c_9120,c_11290]) ).
tcf(c_11318,plain,
( ( a_select3(q_ds1_filter,plus(n2,pv5),n4) = a_select3(q_ds1_filter,n4,plus(n2,pv5)) )
| ~ leq(plus(n2,pv5),n5) ),
inference(superposition,[status(thm)],[c_9152,c_11290]) ).
tcf(c_11319,plain,
( ( a_select3(q_ds1_filter,plus(n0,n3),n4) = a_select3(q_ds1_filter,n4,plus(n0,n3)) )
| ~ leq(plus(n0,n3),n5) ),
inference(superposition,[status(thm)],[c_9227,c_11290]) ).
tcf(c_11320,plain,
( ( a_select3(q_ds1_filter,plus(n1,n999),n4) = a_select3(q_ds1_filter,n4,plus(n1,n999)) )
| ~ leq(plus(n1,n999),n5) ),
inference(superposition,[status(thm)],[c_9240,c_11290]) ).
tcf(c_11321,plain,
( ( a_select3(q_ds1_filter,plus(n3,n0),n4) = a_select3(q_ds1_filter,n4,plus(n3,n0)) )
| ~ leq(plus(n3,n0),n5) ),
inference(superposition,[status(thm)],[c_9418,c_11290]) ).
tcf(c_11322,plain,
( ( a_select3(q_ds1_filter,plus(n3,pv5),n4) = a_select3(q_ds1_filter,n4,plus(n3,pv5)) )
| ~ leq(plus(n3,pv5),n5) ),
inference(superposition,[status(thm)],[c_10108,c_11290]) ).
tcf(c_11323,plain,
a_select3(q_ds1_filter,n4,n5) = a_select3(q_ds1_filter,n5,n4),
inference(forward_subsumption_resolution,[status(thm)],[c_11311,c_85]) ).
tcf(c_11324,plain,
a_select3(q_ds1_filter,n2,n4) = a_select3(q_ds1_filter,n4,n2),
inference(forward_subsumption_resolution,[status(thm)],[c_11309,c_4169]) ).
tcf(c_11325,plain,
a_select3(q_ds1_filter,n3,n4) = a_select3(q_ds1_filter,n4,n3),
inference(forward_subsumption_resolution,[status(thm)],[c_11305,c_4149]) ).
tcf(c_11326,plain,
a_select3(q_ds1_filter,n1,n4) = a_select3(q_ds1_filter,n4,n1),
inference(forward_subsumption_resolution,[status(thm)],[c_11304,c_4145]) ).
tcf(c_11422,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,X0,n4) = a_select3(pminus_ds1_filter,n4,X0) )
| ~ leq(X0,n5)
| ~ leq(n0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_7475,c_4175,c_7475]) ).
tcf(c_11423,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,X0,n4) = a_select3(pminus_ds1_filter,n4,X0) )
| ~ leq(n0,X0)
| ~ leq(X0,n5) ),
inference(renaming,[status(thm)],[c_11422]) ).
tcf(c_11434,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,plus(n1,X0),n4) = a_select3(pminus_ds1_filter,n4,plus(n1,X0)) )
| ~ leq(n0,X0)
| ~ leq(plus(n1,X0),n5) ),
inference(superposition,[status(thm)],[c_82,c_11423]) ).
tcf(c_11436,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,minus(X0,n1),n4) = a_select3(pminus_ds1_filter,n4,minus(X0,n1)) )
| ~ gt(X0,n0)
| ~ leq(minus(X0,n1),n5) ),
inference(superposition,[status(thm)],[c_145,c_11423]) ).
tcf(c_11437,plain,
( ( a_select3(pminus_ds1_filter,n1,n4) = a_select3(pminus_ds1_filter,n4,n1) )
| ~ leq(n1,n5) ),
inference(superposition,[status(thm)],[c_4147,c_11423]) ).
tcf(c_11438,plain,
( ( a_select3(pminus_ds1_filter,n3,n4) = a_select3(pminus_ds1_filter,n4,n3) )
| ~ leq(n3,n5) ),
inference(superposition,[status(thm)],[c_4152,c_11423]) ).
tcf(c_11441,plain,
( ( a_select3(pminus_ds1_filter,plus(n1,n0),n4) = a_select3(pminus_ds1_filter,n4,plus(n1,n0)) )
| ~ leq(plus(n1,n0),n5) ),
inference(superposition,[status(thm)],[c_4168,c_11423]) ).
tcf(c_11442,plain,
( ( a_select3(pminus_ds1_filter,n2,n4) = a_select3(pminus_ds1_filter,n4,n2) )
| ~ leq(n2,n5) ),
inference(superposition,[status(thm)],[c_4171,c_11423]) ).
tcf(c_11444,plain,
( ( a_select3(pminus_ds1_filter,n4,n5) = a_select3(pminus_ds1_filter,n5,n4) )
| ~ leq(n5,n5) ),
inference(superposition,[status(thm)],[c_4176,c_11423]) ).
tcf(c_11445,plain,
( ( a_select3(pminus_ds1_filter,minus(n999,n1),n4) = a_select3(pminus_ds1_filter,n4,minus(n999,n1)) )
| ~ leq(minus(n999,n1),n5) ),
inference(superposition,[status(thm)],[c_6336,c_11423]) ).
tcf(c_11446,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,minus(X0,n1),n4) = a_select3(pminus_ds1_filter,n4,minus(X0,n1)) )
| ~ gt(X0,pv5)
| ~ leq(minus(X0,n1),n5) ),
inference(superposition,[status(thm)],[c_6339,c_11423]) ).
tcf(c_11447,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,plus(n1,X0),n4) = a_select3(pminus_ds1_filter,n4,plus(n1,X0)) )
| ~ leq(pv5,X0)
| ~ leq(plus(n1,X0),n5) ),
inference(superposition,[status(thm)],[c_6337,c_11423]) ).
tcf(c_11448,plain,
( ( a_select3(pminus_ds1_filter,plus(n0,n1),n4) = a_select3(pminus_ds1_filter,n4,plus(n0,n1)) )
| ~ leq(plus(n0,n1),n5) ),
inference(superposition,[status(thm)],[c_8568,c_11423]) ).
tcf(c_11449,plain,
( ( a_select3(pminus_ds1_filter,plus(n1,pv5),n4) = a_select3(pminus_ds1_filter,n4,plus(n1,pv5)) )
| ~ leq(plus(n1,pv5),n5) ),
inference(superposition,[status(thm)],[c_8605,c_11423]) ).
tcf(c_11450,plain,
( ( a_select3(pminus_ds1_filter,plus(n2,n0),n4) = a_select3(pminus_ds1_filter,n4,plus(n2,n0)) )
| ~ leq(plus(n2,n0),n5) ),
inference(superposition,[status(thm)],[c_9120,c_11423]) ).
tcf(c_11451,plain,
( ( a_select3(pminus_ds1_filter,plus(n2,pv5),n4) = a_select3(pminus_ds1_filter,n4,plus(n2,pv5)) )
| ~ leq(plus(n2,pv5),n5) ),
inference(superposition,[status(thm)],[c_9152,c_11423]) ).
tcf(c_11452,plain,
( ( a_select3(pminus_ds1_filter,plus(n0,n3),n4) = a_select3(pminus_ds1_filter,n4,plus(n0,n3)) )
| ~ leq(plus(n0,n3),n5) ),
inference(superposition,[status(thm)],[c_9227,c_11423]) ).
tcf(c_11453,plain,
( ( a_select3(pminus_ds1_filter,plus(n1,n999),n4) = a_select3(pminus_ds1_filter,n4,plus(n1,n999)) )
| ~ leq(plus(n1,n999),n5) ),
inference(superposition,[status(thm)],[c_9240,c_11423]) ).
tcf(c_11454,plain,
( ( a_select3(pminus_ds1_filter,plus(n3,n0),n4) = a_select3(pminus_ds1_filter,n4,plus(n3,n0)) )
| ~ leq(plus(n3,n0),n5) ),
inference(superposition,[status(thm)],[c_9418,c_11423]) ).
tcf(c_11455,plain,
( ( a_select3(pminus_ds1_filter,plus(n3,pv5),n4) = a_select3(pminus_ds1_filter,n4,plus(n3,pv5)) )
| ~ leq(plus(n3,pv5),n5) ),
inference(superposition,[status(thm)],[c_10108,c_11423]) ).
tcf(c_11456,plain,
a_select3(pminus_ds1_filter,n4,n5) = a_select3(pminus_ds1_filter,n5,n4),
inference(forward_subsumption_resolution,[status(thm)],[c_11444,c_85]) ).
tcf(c_11457,plain,
a_select3(pminus_ds1_filter,n2,n4) = a_select3(pminus_ds1_filter,n4,n2),
inference(forward_subsumption_resolution,[status(thm)],[c_11442,c_4169]) ).
tcf(c_11458,plain,
a_select3(pminus_ds1_filter,n3,n4) = a_select3(pminus_ds1_filter,n4,n3),
inference(forward_subsumption_resolution,[status(thm)],[c_11438,c_4149]) ).
tcf(c_11459,plain,
a_select3(pminus_ds1_filter,n1,n4) = a_select3(pminus_ds1_filter,n4,n1),
inference(forward_subsumption_resolution,[status(thm)],[c_11437,c_4145]) ).
tcf(c_11539,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,plus(n1,X0),n4) = a_select3(r_ds1_filter,n4,plus(n1,X0)) )
| ~ leq(n4,n2)
| ~ leq(n0,X0)
| ~ leq(plus(n1,X0),n2) ),
inference(superposition,[status(thm)],[c_82,c_7477]) ).
tcf(c_11541,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,minus(X0,n1),n4) = a_select3(r_ds1_filter,n4,minus(X0,n1)) )
| ~ leq(n4,n2)
| ~ gt(X0,n0)
| ~ leq(minus(X0,n1),n2) ),
inference(superposition,[status(thm)],[c_145,c_7477]) ).
tcf(c_11542,plain,
( ( a_select3(r_ds1_filter,n1,n4) = a_select3(r_ds1_filter,n4,n1) )
| ~ leq(n4,n2)
| ~ leq(n1,n2) ),
inference(superposition,[status(thm)],[c_4147,c_7477]) ).
tcf(c_11546,plain,
( ( a_select3(r_ds1_filter,plus(n1,n0),n4) = a_select3(r_ds1_filter,n4,plus(n1,n0)) )
| ~ leq(n4,n2)
| ~ leq(plus(n1,n0),n2) ),
inference(superposition,[status(thm)],[c_4168,c_7477]) ).
tcf(c_11549,plain,
( ( a_select3(r_ds1_filter,n4,n5) = a_select3(r_ds1_filter,n5,n4) )
| ~ leq(n5,n2)
| ~ leq(n4,n2) ),
inference(superposition,[status(thm)],[c_4176,c_7477]) ).
tcf(c_11550,plain,
( ( a_select3(r_ds1_filter,minus(n999,n1),n4) = a_select3(r_ds1_filter,n4,minus(n999,n1)) )
| ~ leq(n4,n2)
| ~ leq(minus(n999,n1),n2) ),
inference(superposition,[status(thm)],[c_6336,c_7477]) ).
tcf(c_11551,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,minus(X0,n1),n4) = a_select3(r_ds1_filter,n4,minus(X0,n1)) )
| ~ leq(n4,n2)
| ~ gt(X0,pv5)
| ~ leq(minus(X0,n1),n2) ),
inference(superposition,[status(thm)],[c_6339,c_7477]) ).
tcf(c_11552,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,plus(n1,X0),n4) = a_select3(r_ds1_filter,n4,plus(n1,X0)) )
| ~ leq(n4,n2)
| ~ leq(pv5,X0)
| ~ leq(plus(n1,X0),n2) ),
inference(superposition,[status(thm)],[c_6337,c_7477]) ).
tcf(c_11553,plain,
( ( a_select3(r_ds1_filter,plus(n0,n1),n4) = a_select3(r_ds1_filter,n4,plus(n0,n1)) )
| ~ leq(n4,n2)
| ~ leq(plus(n0,n1),n2) ),
inference(superposition,[status(thm)],[c_8568,c_7477]) ).
tcf(c_11554,plain,
( ( a_select3(r_ds1_filter,plus(n1,pv5),n4) = a_select3(r_ds1_filter,n4,plus(n1,pv5)) )
| ~ leq(n4,n2)
| ~ leq(plus(n1,pv5),n2) ),
inference(superposition,[status(thm)],[c_8605,c_7477]) ).
tcf(c_11555,plain,
( ( a_select3(r_ds1_filter,plus(n2,n0),n4) = a_select3(r_ds1_filter,n4,plus(n2,n0)) )
| ~ leq(n4,n2)
| ~ leq(plus(n2,n0),n2) ),
inference(superposition,[status(thm)],[c_9120,c_7477]) ).
tcf(c_11556,plain,
( ( a_select3(r_ds1_filter,plus(n2,pv5),n4) = a_select3(r_ds1_filter,n4,plus(n2,pv5)) )
| ~ leq(n4,n2)
| ~ leq(plus(n2,pv5),n2) ),
inference(superposition,[status(thm)],[c_9152,c_7477]) ).
tcf(c_11557,plain,
( ( a_select3(r_ds1_filter,plus(n0,n3),n4) = a_select3(r_ds1_filter,n4,plus(n0,n3)) )
| ~ leq(n4,n2)
| ~ leq(plus(n0,n3),n2) ),
inference(superposition,[status(thm)],[c_9227,c_7477]) ).
tcf(c_11558,plain,
( ( a_select3(r_ds1_filter,plus(n1,n999),n4) = a_select3(r_ds1_filter,n4,plus(n1,n999)) )
| ~ leq(n4,n2)
| ~ leq(plus(n1,n999),n2) ),
inference(superposition,[status(thm)],[c_9240,c_7477]) ).
tcf(c_11559,plain,
( ( a_select3(r_ds1_filter,plus(n3,n0),n4) = a_select3(r_ds1_filter,n4,plus(n3,n0)) )
| ~ leq(n4,n2)
| ~ leq(plus(n3,n0),n2) ),
inference(superposition,[status(thm)],[c_9418,c_7477]) ).
tcf(c_11560,plain,
( ( a_select3(r_ds1_filter,plus(n3,pv5),n4) = a_select3(r_ds1_filter,n4,plus(n3,pv5)) )
| ~ leq(n4,n2)
| ~ leq(plus(n3,pv5),n2) ),
inference(superposition,[status(thm)],[c_10108,c_7477]) ).
tcf(c_11564,plain,
( ( a_select3(r_ds1_filter,n1,n4) = a_select3(r_ds1_filter,n4,n1) )
| ~ leq(n4,n2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11542,c_4144]) ).
tcf(c_11588,plain,
( ( a_select3(r_ds1_filter,n2,n4) = a_select3(r_ds1_filter,n4,n2) )
| ~ leq(n4,n2)
| ~ leq(n2,n2) ),
inference(light_normalisation,[status(thm)],[c_11555,c_5149]) ).
fof(f130,definition,
( ~ sP0
| ? [X12] :
( leq(X12,minus(n0,n1))
& leq(n0,X12)
& ? [X13] :
( leq(X13,minus(n6,n1))
& leq(n0,X13)
& a_select3(id_ds1_filter,X12,X13) != a_select3(id_ds1_filter,X13,X12) ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f131,definition,
( ~ sP1
| ? [X10,X11] :
( leq(X11,minus(n6,n1))
& leq(X10,minus(n6,n1))
& leq(n0,X11)
& leq(n0,X10)
& a_select3(pminus_ds1_filter,X10,X11) != a_select3(pminus_ds1_filter,X11,X10) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f132,definition,
( ~ sP2
| ? [X8,X9] :
( leq(X9,minus(n3,n1))
& leq(X8,minus(n3,n1))
& leq(n0,X9)
& leq(n0,X8)
& a_select3(r_ds1_filter,X8,X9) != a_select3(r_ds1_filter,X9,X8) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f133,plain,
( ! [X4,X5] :
( ~ leq(X5,minus(n6,n1))
| ~ leq(X4,minus(n6,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4)
| a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4) )
& ! [X2,X3] :
( ~ leq(X3,minus(n3,n1))
| ~ leq(X2,minus(n3,n1))
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2) )
& ! [X0,X1] :
( ~ leq(X1,minus(n6,n1))
| ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5)
& ( sP0
| sP1
| sP2
| ? [X6,X7] :
( leq(X7,minus(n6,n1))
& leq(X6,minus(n6,n1))
& leq(n0,X7)
& leq(n0,X6)
& a_select3(q_ds1_filter,X6,X7) != a_select3(q_ds1_filter,X7,X6) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ) ),
inference(definition_folding,[],[f105,f132,f131,f130]) ).
fof(f140,plain,
( ~ sP0
| ? [X12] :
( leq(X12,minus(n0,n1))
& leq(n0,X12)
& ? [X13] :
( leq(X13,minus(n6,n1))
& leq(n0,X13)
& a_select3(id_ds1_filter,X12,X13) != a_select3(id_ds1_filter,X13,X12) ) ) ),
inference(nnf_transformation,[],[f130]) ).
fof(f141,plain,
( ~ sP0
| ? [X0] :
( leq(X0,minus(n0,n1))
& leq(n0,X0)
& ? [X1] :
( leq(X1,minus(n6,n1))
& leq(n0,X1)
& a_select3(id_ds1_filter,X0,X1) != a_select3(id_ds1_filter,X1,X0) ) ) ),
inference(rectify,[],[f140]) ).
fof(f142,plain,
( ~ sP0
| ( leq(sK7,minus(n0,n1))
& leq(n0,sK7)
& leq(sK8,minus(n6,n1))
& leq(n0,sK8)
& a_select3(id_ds1_filter,sK7,sK8) != a_select3(id_ds1_filter,sK8,sK7) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8]),skolemize(X0,sK7),skolemize(X1,sK8)],[f141]) ).
fof(f158,plain,
( ~ sP0
| leq(sK7,minus(n0,n1)) ),
inference(cnf_transformation,[],[f142]) ).
fof(f159,plain,
( ~ sP0
| leq(n0,sK7) ),
inference(cnf_transformation,[],[f142]) ).
fof(f160,plain,
( ~ sP0
| leq(sK8,minus(n6,n1)) ),
inference(cnf_transformation,[],[f142]) ).
fof(f161,plain,
( ~ sP0
| leq(n0,sK8) ),
inference(cnf_transformation,[],[f142]) ).
fof(f162,plain,
( ~ sP0
| a_select3(id_ds1_filter,sK7,sK8) != a_select3(id_ds1_filter,sK8,sK7) ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_59,plain,
( ~ sP0
| ( a_select3(id_ds1_filter,sK7,sK8) != a_select3(id_ds1_filter,sK8,sK7) ) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_60,plain,
( leq(n0,sK8)
| ~ sP0 ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_61,plain,
( leq(sK8,minus(n6,n1))
| ~ sP0 ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_62,plain,
( leq(n0,sK7)
| ~ sP0 ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_63,plain,
( leq(sK7,minus(n0,n1))
| ~ sP0 ),
inference(cnf_transformation,[],[f158]) ).
tcf(c_4111,plain,
( ( a_select3(pminus_ds1_filter,minus(n6,n1),sK8) = a_select3(pminus_ds1_filter,sK8,minus(n6,n1)) )
| ~ sP0
| ~ leq(n0,sK8)
| ~ leq(n0,minus(n6,n1)) ),
inference(superposition,[status(thm)],[c_61,c_3860]) ).
tcf(c_4112,plain,
( ( a_select3(q_ds1_filter,minus(n6,n1),sK8) = a_select3(q_ds1_filter,sK8,minus(n6,n1)) )
| ~ sP0
| ~ leq(n0,sK8)
| ~ leq(n0,minus(n6,n1)) ),
inference(superposition,[status(thm)],[c_61,c_3826]) ).
tcf(c_4113,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,X0,sK8) = a_select3(pminus_ds1_filter,sK8,X0) )
| ~ sP0
| ~ leq(n0,sK8)
| ~ leq(n0,X0)
| ~ leq(X0,minus(n6,n1)) ),
inference(superposition,[status(thm)],[c_61,c_73]) ).
tcf(c_4114,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,X0,sK8) = a_select3(q_ds1_filter,sK8,X0) )
| ~ sP0
| ~ leq(n0,sK8)
| ~ leq(n0,X0)
| ~ leq(X0,minus(n6,n1)) ),
inference(superposition,[status(thm)],[c_61,c_71]) ).
tcf(c_4199,plain,
( ( a_select3(pminus_ds1_filter,sK5,sK8) = a_select3(pminus_ds1_filter,sK8,sK5) )
| ~ sP0
| ~ sP1
| ~ leq(n0,sK8) ),
inference(superposition,[status(thm)],[c_61,c_4187]) ).
tcf(c_4217,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,X0,sK8) = a_select3(pminus_ds1_filter,sK8,X0) )
| ~ leq(n0,X0)
| ~ leq(X0,minus(n6,n1)) ),
inference(global_subsumption_just,[status(thm)],[c_4113,c_60,c_56,c_51,c_54,c_49,c_182,c_190,c_3898,c_4035,c_4113,c_4198]) ).
tcf(c_4227,plain,
( ( a_select3(pminus_ds1_filter,minus(n6,n1),sK8) = a_select3(pminus_ds1_filter,sK8,minus(n6,n1)) )
| ~ leq(n0,minus(n6,n1)) ),
inference(superposition,[status(thm)],[c_85,c_4217]) ).
tcf(c_4230,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,X0,sK8) = a_select3(q_ds1_filter,sK8,X0) )
| ~ leq(n0,X0)
| ~ leq(X0,minus(n6,n1)) ),
inference(global_subsumption_just,[status(thm)],[c_4114,c_60,c_56,c_51,c_54,c_49,c_182,c_190,c_3898,c_4035,c_4114,c_4198]) ).
tcf(c_4240,plain,
( ( a_select3(q_ds1_filter,minus(n6,n1),sK8) = a_select3(q_ds1_filter,sK8,minus(n6,n1)) )
| ~ leq(n0,minus(n6,n1)) ),
inference(superposition,[status(thm)],[c_85,c_4230]) ).
tcf(c_4245,plain,
leq(sK7,minus(n0,n1)),
inference(backward_subsumption_resolution,[status(thm)],[c_63,c_4243]) ).
tcf(c_4246,plain,
leq(n0,sK7),
inference(backward_subsumption_resolution,[status(thm)],[c_62,c_4243]) ).
tcf(c_4247,plain,
leq(sK8,minus(n6,n1)),
inference(backward_subsumption_resolution,[status(thm)],[c_61,c_4243]) ).
tcf(c_4248,plain,
leq(n0,sK8),
inference(backward_subsumption_resolution,[status(thm)],[c_60,c_4243]) ).
tcf(c_4276,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,X0,sK8) = a_select3(q_ds1_filter,sK8,X0) )
| ~ leq(n0,X0)
| ~ leq(X0,n5) ),
inference(demodulation,[status(thm)],[c_4230,c_4261]) ).
tcf(c_4277,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,X0,sK8) = a_select3(pminus_ds1_filter,sK8,X0) )
| ~ leq(n0,X0)
| ~ leq(X0,n5) ),
inference(demodulation,[status(thm)],[c_4217,c_4261]) ).
tcf(c_4695,plain,
( ( a_select3(q_ds1_filter,sK8,pv5) = a_select3(q_ds1_filter,pv5,sK8) )
| ~ leq(pv5,n5) ),
inference(superposition,[status(thm)],[c_69,c_4276]) ).
tcf(c_4696,plain,
( ( a_select3(q_ds1_filter,n0,sK8) = a_select3(q_ds1_filter,sK8,n0) )
| ~ leq(n0,n5) ),
inference(superposition,[status(thm)],[c_85,c_4276]) ).
tcf(c_4697,plain,
( ( a_select3(q_ds1_filter,n1,sK8) = a_select3(q_ds1_filter,sK8,n1) )
| ~ leq(n1,n5) ),
inference(superposition,[status(thm)],[c_4147,c_4276]) ).
tcf(c_4698,plain,
( ( a_select3(q_ds1_filter,n3,sK8) = a_select3(q_ds1_filter,sK8,n3) )
| ~ leq(n3,n5) ),
inference(superposition,[status(thm)],[c_4152,c_4276]) ).
tcf(c_4699,plain,
a_select3(q_ds1_filter,n3,sK8) = a_select3(q_ds1_filter,sK8,n3),
inference(forward_subsumption_resolution,[status(thm)],[c_4698,c_4149]) ).
tcf(c_4700,plain,
a_select3(q_ds1_filter,n1,sK8) = a_select3(q_ds1_filter,sK8,n1),
inference(forward_subsumption_resolution,[status(thm)],[c_4697,c_4145]) ).
tcf(c_4715,plain,
( ( a_select3(pminus_ds1_filter,sK8,pv5) = a_select3(pminus_ds1_filter,pv5,sK8) )
| ~ leq(pv5,n5) ),
inference(superposition,[status(thm)],[c_69,c_4277]) ).
tcf(c_4716,plain,
( ( a_select3(pminus_ds1_filter,n0,sK8) = a_select3(pminus_ds1_filter,sK8,n0) )
| ~ leq(n0,n5) ),
inference(superposition,[status(thm)],[c_85,c_4277]) ).
tcf(c_4717,plain,
( ( a_select3(pminus_ds1_filter,n1,sK8) = a_select3(pminus_ds1_filter,sK8,n1) )
| ~ leq(n1,n5) ),
inference(superposition,[status(thm)],[c_4147,c_4277]) ).
tcf(c_4718,plain,
( ( a_select3(pminus_ds1_filter,n3,sK8) = a_select3(pminus_ds1_filter,sK8,n3) )
| ~ leq(n3,n5) ),
inference(superposition,[status(thm)],[c_4152,c_4277]) ).
tcf(c_4719,plain,
a_select3(pminus_ds1_filter,n3,sK8) = a_select3(pminus_ds1_filter,sK8,n3),
inference(forward_subsumption_resolution,[status(thm)],[c_4718,c_4149]) ).
tcf(c_4720,plain,
a_select3(pminus_ds1_filter,n1,sK8) = a_select3(pminus_ds1_filter,sK8,n1),
inference(forward_subsumption_resolution,[status(thm)],[c_4717,c_4145]) ).
tcf(c_4800,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,plus(n1,X0),sK8) = a_select3(pminus_ds1_filter,sK8,plus(n1,X0)) )
| ~ leq(n0,X0)
| ~ leq(plus(n1,X0),n5) ),
inference(superposition,[status(thm)],[c_82,c_4277]) ).
tcf(c_4801,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,plus(n1,X0),sK8) = a_select3(q_ds1_filter,sK8,plus(n1,X0)) )
| ~ leq(n0,X0)
| ~ leq(plus(n1,X0),n5) ),
inference(superposition,[status(thm)],[c_82,c_4276]) ).
tcf(c_4909,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,minus(X0,n1),sK8) = a_select3(pminus_ds1_filter,sK8,minus(X0,n1)) )
| ~ gt(X0,n0)
| ~ leq(minus(X0,n1),n5) ),
inference(superposition,[status(thm)],[c_145,c_4277]) ).
tcf(c_4910,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,minus(X0,n1),sK8) = a_select3(q_ds1_filter,sK8,minus(X0,n1)) )
| ~ gt(X0,n0)
| ~ leq(minus(X0,n1),n5) ),
inference(superposition,[status(thm)],[c_145,c_4276]) ).
tcf(c_5051,plain,
a_select3(pminus_ds1_filter,minus(n6,n1),sK8) = a_select3(pminus_ds1_filter,sK8,minus(n6,n1)),
inference(global_subsumption_just,[status(thm)],[c_4227,c_117,c_4227,c_4553]) ).
tcf(c_5053,plain,
a_select3(pminus_ds1_filter,sK8,n5) = a_select3(pminus_ds1_filter,n5,sK8),
inference(light_normalisation,[status(thm)],[c_5051,c_4261]) ).
tcf(c_5054,plain,
a_select3(q_ds1_filter,minus(n6,n1),sK8) = a_select3(q_ds1_filter,sK8,minus(n6,n1)),
inference(global_subsumption_just,[status(thm)],[c_4240,c_117,c_4240,c_4553]) ).
tcf(c_5056,plain,
a_select3(q_ds1_filter,sK8,n5) = a_select3(q_ds1_filter,n5,sK8),
inference(light_normalisation,[status(thm)],[c_5054,c_4261]) ).
tcf(c_5321,plain,
( ( a_select3(pminus_ds1_filter,sK8,n999) = a_select3(pminus_ds1_filter,n999,sK8) )
| ~ leq(n999,n5) ),
inference(superposition,[status(thm)],[c_4157,c_4277]) ).
tcf(c_5322,plain,
( ( a_select3(q_ds1_filter,sK8,n999) = a_select3(q_ds1_filter,n999,sK8) )
| ~ leq(n999,n5) ),
inference(superposition,[status(thm)],[c_4157,c_4276]) ).
tcf(c_6274,plain,
( ( a_select3(pminus_ds1_filter,n6,sK8) = a_select3(pminus_ds1_filter,sK8,n6) )
| ~ leq(n6,n5) ),
inference(superposition,[status(thm)],[c_4164,c_4277]) ).
tcf(c_6275,plain,
( ( a_select3(q_ds1_filter,n6,sK8) = a_select3(q_ds1_filter,sK8,n6) )
| ~ leq(n6,n5) ),
inference(superposition,[status(thm)],[c_4164,c_4276]) ).
tcf(c_6350,plain,
( ( a_select3(pminus_ds1_filter,minus(n999,n1),sK8) = a_select3(pminus_ds1_filter,sK8,minus(n999,n1)) )
| ~ leq(minus(n999,n1),n5) ),
inference(superposition,[status(thm)],[c_6336,c_4277]) ).
tcf(c_6351,plain,
( ( a_select3(q_ds1_filter,minus(n999,n1),sK8) = a_select3(q_ds1_filter,sK8,minus(n999,n1)) )
| ~ leq(minus(n999,n1),n5) ),
inference(superposition,[status(thm)],[c_6336,c_4276]) ).
tcf(c_6587,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,plus(n1,X0),sK8) = a_select3(pminus_ds1_filter,sK8,plus(n1,X0)) )
| ~ leq(pv5,X0)
| ~ leq(plus(n1,X0),n5) ),
inference(superposition,[status(thm)],[c_6337,c_4277]) ).
tcf(c_6588,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,plus(n1,X0),sK8) = a_select3(q_ds1_filter,sK8,plus(n1,X0)) )
| ~ leq(pv5,X0)
| ~ leq(plus(n1,X0),n5) ),
inference(superposition,[status(thm)],[c_6337,c_4276]) ).
tcf(c_6749,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,minus(X0,n1),sK8) = a_select3(pminus_ds1_filter,sK8,minus(X0,n1)) )
| ~ gt(X0,pv5)
| ~ leq(minus(X0,n1),n5) ),
inference(superposition,[status(thm)],[c_6339,c_4277]) ).
tcf(c_6750,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,minus(X0,n1),sK8) = a_select3(q_ds1_filter,sK8,minus(X0,n1)) )
| ~ gt(X0,pv5)
| ~ leq(minus(X0,n1),n5) ),
inference(superposition,[status(thm)],[c_6339,c_4276]) ).
tcf(c_6929,plain,
a_select3(id_ds1_filter,sK7,sK8) != a_select3(id_ds1_filter,sK8,sK7),
inference(global_subsumption_just,[status(thm)],[c_59,c_56,c_51,c_59,c_54,c_49,c_182,c_190,c_3898,c_4035,c_4198]) ).
tcf(c_7405,plain,
( ( a_select3(pminus_ds1_filter,sK8,n2) = a_select3(pminus_ds1_filter,n2,sK8) )
| ~ leq(n2,n5) ),
inference(superposition,[status(thm)],[c_4171,c_4277]) ).
tcf(c_7406,plain,
( ( a_select3(q_ds1_filter,sK8,n2) = a_select3(q_ds1_filter,n2,sK8) )
| ~ leq(n2,n5) ),
inference(superposition,[status(thm)],[c_4171,c_4276]) ).
tcf(c_7422,plain,
a_select3(q_ds1_filter,sK8,n2) = a_select3(q_ds1_filter,n2,sK8),
inference(forward_subsumption_resolution,[status(thm)],[c_7406,c_4169]) ).
tcf(c_7423,plain,
a_select3(pminus_ds1_filter,sK8,n2) = a_select3(pminus_ds1_filter,n2,sK8),
inference(forward_subsumption_resolution,[status(thm)],[c_7405,c_4169]) ).
tcf(c_7470,plain,
( ( a_select3(pminus_ds1_filter,sK8,n4) = a_select3(pminus_ds1_filter,n4,sK8) )
| ~ leq(n4,n5) ),
inference(superposition,[status(thm)],[c_4173,c_4277]) ).
tcf(c_7471,plain,
( ( a_select3(q_ds1_filter,sK8,n4) = a_select3(q_ds1_filter,n4,sK8) )
| ~ leq(n4,n5) ),
inference(superposition,[status(thm)],[c_4173,c_4276]) ).
tcf(c_8098,plain,
( ( sK7 = n5 )
| ( sK7 = n4 )
| ( sK7 = n2 )
| ( n6 = sK7 )
| ( n1 = sK7 )
| ( n3 = sK7 )
| ( n0 = sK7 )
| ~ leq(sK7,n6) ),
inference(superposition,[status(thm)],[c_4246,c_98]) ).
tcf(c_8099,plain,
( ( sK7 = n5 )
| ( sK7 = n4 )
| ( sK7 = n2 )
| ( n1 = sK7 )
| ( n3 = sK7 )
| ( n0 = sK7 )
| ~ leq(sK7,n5) ),
inference(superposition,[status(thm)],[c_4246,c_90]) ).
tcf(c_8100,plain,
( ( sK7 = n4 )
| ( sK7 = n2 )
| ( n1 = sK7 )
| ( n3 = sK7 )
| ( n0 = sK7 )
| ~ leq(sK7,n4) ),
inference(superposition,[status(thm)],[c_4246,c_91]) ).
tcf(c_8101,plain,
( ( sK7 = n2 )
| ( n1 = sK7 )
| ( n3 = sK7 )
| ( n0 = sK7 )
| ~ leq(sK7,n3) ),
inference(superposition,[status(thm)],[c_4246,c_87]) ).
tcf(c_8102,plain,
( ( sK7 = n2 )
| ( n1 = sK7 )
| ( n0 = sK7 )
| ~ leq(sK7,n2) ),
inference(superposition,[status(thm)],[c_4246,c_88]) ).
tcf(c_8103,plain,
( ( n1 = sK7 )
| ( n0 = sK7 )
| ~ leq(sK7,n1) ),
inference(superposition,[status(thm)],[c_4246,c_89]) ).
tcf(c_8104,plain,
( ( n0 = sK7 )
| ~ leq(sK7,n0) ),
inference(superposition,[status(thm)],[c_4246,c_74]) ).
tcf(c_8105,plain,
( ( a_select3(q_ds1_filter,sK7,n5) = a_select3(q_ds1_filter,n5,sK7) )
| ~ leq(sK7,n5) ),
inference(superposition,[status(thm)],[c_4246,c_5428]) ).
tcf(c_8106,plain,
( ( a_select3(pminus_ds1_filter,sK7,n5) = a_select3(pminus_ds1_filter,n5,sK7) )
| ~ leq(sK7,n5) ),
inference(superposition,[status(thm)],[c_4246,c_5392]) ).
tcf(c_8107,plain,
( ( a_select3(r_ds1_filter,sK7,n2) = a_select3(r_ds1_filter,n2,sK7) )
| ~ leq(sK7,n2) ),
inference(superposition,[status(thm)],[c_4246,c_5060]) ).
tcf(c_8108,plain,
( ( a_select3(pminus_ds1_filter,sK7,sK8) = a_select3(pminus_ds1_filter,sK8,sK7) )
| ~ leq(sK7,n5) ),
inference(superposition,[status(thm)],[c_4246,c_4277]) ).
tcf(c_8109,plain,
( ( a_select3(q_ds1_filter,sK7,sK8) = a_select3(q_ds1_filter,sK8,sK7) )
| ~ leq(sK7,n5) ),
inference(superposition,[status(thm)],[c_4246,c_4276]) ).
tcf(c_8110,plain,
( ( a_select3(q_ds1_filter,sK7,pv5) = a_select3(q_ds1_filter,pv5,sK7) )
| ~ leq(pv5,n5)
| ~ leq(sK7,n5) ),
inference(superposition,[status(thm)],[c_4246,c_4430]) ).
tcf(c_8111,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,X0,sK7) = a_select3(q_ds1_filter,sK7,X0) )
| ~ leq(sK7,n5)
| ~ leq(n0,X0)
| ~ leq(X0,n5) ),
inference(superposition,[status(thm)],[c_4246,c_4281]) ).
tcf(c_8112,plain,
( ( a_select3(pminus_ds1_filter,sK7,pv5) = a_select3(pminus_ds1_filter,pv5,sK7) )
| ~ leq(pv5,n5)
| ~ leq(sK7,n5) ),
inference(superposition,[status(thm)],[c_4246,c_4378]) ).
tcf(c_8113,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,X0,sK7) = a_select3(pminus_ds1_filter,sK7,X0) )
| ~ leq(sK7,n5)
| ~ leq(n0,X0)
| ~ leq(X0,n5) ),
inference(superposition,[status(thm)],[c_4246,c_4280]) ).
tcf(c_8114,plain,
( ( a_select3(r_ds1_filter,sK7,pv5) = a_select3(r_ds1_filter,pv5,sK7) )
| ~ leq(pv5,n2)
| ~ leq(sK7,n2) ),
inference(superposition,[status(thm)],[c_4246,c_4334]) ).
tcf(c_8115,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,X0,sK7) = a_select3(r_ds1_filter,sK7,X0) )
| ~ leq(sK7,n2)
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(superposition,[status(thm)],[c_4246,c_4266]) ).
tcf(c_8116,plain,
! [X0: $i] :
( leq(n0,X0)
| ~ leq(sK7,X0) ),
inference(superposition,[status(thm)],[c_4246,c_84]) ).
tcf(c_8117,plain,
( gt(sK7,n0)
| ( n0 = sK7 ) ),
inference(superposition,[status(thm)],[c_4246,c_75]) ).
tcf(c_8372,plain,
( ( sK8 = n5 )
| ( sK8 = n4 )
| ( sK8 = n2 )
| ( n6 = sK8 )
| ( n1 = sK8 )
| ( n3 = sK8 )
| ( n0 = sK8 )
| ~ leq(sK8,n6) ),
inference(superposition,[status(thm)],[c_4248,c_98]) ).
tcf(c_8373,plain,
( ( sK8 = n5 )
| ( sK8 = n4 )
| ( sK8 = n2 )
| ( n1 = sK8 )
| ( n3 = sK8 )
| ( n0 = sK8 )
| ~ leq(sK8,n5) ),
inference(superposition,[status(thm)],[c_4248,c_90]) ).
tcf(c_8374,plain,
( ( sK8 = n4 )
| ( sK8 = n2 )
| ( n1 = sK8 )
| ( n3 = sK8 )
| ( n0 = sK8 )
| ~ leq(sK8,n4) ),
inference(superposition,[status(thm)],[c_4248,c_91]) ).
tcf(c_8375,plain,
( ( sK8 = n2 )
| ( n1 = sK8 )
| ( n3 = sK8 )
| ( n0 = sK8 )
| ~ leq(sK8,n3) ),
inference(superposition,[status(thm)],[c_4248,c_87]) ).
tcf(c_8376,plain,
( ( sK8 = n2 )
| ( n1 = sK8 )
| ( n0 = sK8 )
| ~ leq(sK8,n2) ),
inference(superposition,[status(thm)],[c_4248,c_88]) ).
tcf(c_8377,plain,
( ( n1 = sK8 )
| ( n0 = sK8 )
| ~ leq(sK8,n1) ),
inference(superposition,[status(thm)],[c_4248,c_89]) ).
tcf(c_8378,plain,
( ( n0 = sK8 )
| ~ leq(sK8,n0) ),
inference(superposition,[status(thm)],[c_4248,c_74]) ).
tcf(c_8381,plain,
( ( a_select3(r_ds1_filter,sK8,n2) = a_select3(r_ds1_filter,n2,sK8) )
| ~ leq(sK8,n2) ),
inference(superposition,[status(thm)],[c_4248,c_5060]) ).
tcf(c_8385,plain,
! [X0: $i] :
( ( a_select3(q_ds1_filter,X0,sK8) = a_select3(q_ds1_filter,sK8,X0) )
| ~ leq(sK8,n5)
| ~ leq(n0,X0)
| ~ leq(X0,n5) ),
inference(superposition,[status(thm)],[c_4248,c_4281]) ).
tcf(c_8387,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,X0,sK8) = a_select3(pminus_ds1_filter,sK8,X0) )
| ~ leq(sK8,n5)
| ~ leq(n0,X0)
| ~ leq(X0,n5) ),
inference(superposition,[status(thm)],[c_4248,c_4280]) ).
tcf(c_8388,plain,
( ( a_select3(r_ds1_filter,sK8,pv5) = a_select3(r_ds1_filter,pv5,sK8) )
| ~ leq(pv5,n2)
| ~ leq(sK8,n2) ),
inference(superposition,[status(thm)],[c_4248,c_4334]) ).
tcf(c_8389,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,X0,sK8) = a_select3(r_ds1_filter,sK8,X0) )
| ~ leq(sK8,n2)
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(superposition,[status(thm)],[c_4248,c_4266]) ).
tcf(c_8390,plain,
! [X0: $i] :
( leq(n0,X0)
| ~ leq(sK8,X0) ),
inference(superposition,[status(thm)],[c_4248,c_84]) ).
tcf(c_8391,plain,
( gt(sK8,n0)
| ( n0 = sK8 ) ),
inference(superposition,[status(thm)],[c_4248,c_75]) ).
tcf(c_8593,plain,
( ( a_select3(pminus_ds1_filter,plus(n1,n0),sK8) = a_select3(pminus_ds1_filter,sK8,plus(n1,n0)) )
| ~ leq(plus(n1,n0),n5) ),
inference(superposition,[status(thm)],[c_4168,c_4277]) ).
tcf(c_8594,plain,
( ( a_select3(q_ds1_filter,plus(n1,n0),sK8) = a_select3(q_ds1_filter,sK8,plus(n1,n0)) )
| ~ leq(plus(n1,n0),n5) ),
inference(superposition,[status(thm)],[c_4168,c_4276]) ).
tcf(c_8654,plain,
leq(sK7,tptp_minus_1),
inference(light_normalisation,[status(thm)],[c_4245,c_4256]) ).
tcf(c_8655,plain,
! [X0: $i] :
( leq(sK7,X0)
| ~ leq(tptp_minus_1,X0) ),
inference(superposition,[status(thm)],[c_8654,c_84]) ).
tcf(c_8656,plain,
( gt(tptp_minus_1,sK7)
| ( sK7 = tptp_minus_1 ) ),
inference(superposition,[status(thm)],[c_8654,c_75]) ).
tcf(c_8675,plain,
leq(sK8,n5),
inference(light_normalisation,[status(thm)],[c_4247,c_4261]) ).
tcf(c_8676,plain,
! [X0: $i] :
( leq(sK8,X0)
| ~ leq(n5,X0) ),
inference(superposition,[status(thm)],[c_8675,c_84]) ).
tcf(c_8677,plain,
( gt(n5,sK8)
| ( sK8 = n5 ) ),
inference(superposition,[status(thm)],[c_8675,c_75]) ).
tcf(c_8750,plain,
( ( a_select3(pminus_ds1_filter,plus(n0,n1),sK8) = a_select3(pminus_ds1_filter,sK8,plus(n0,n1)) )
| ~ leq(plus(n0,n1),n5) ),
inference(superposition,[status(thm)],[c_8568,c_4277]) ).
tcf(c_8751,plain,
( ( a_select3(q_ds1_filter,plus(n0,n1),sK8) = a_select3(q_ds1_filter,sK8,plus(n0,n1)) )
| ~ leq(plus(n0,n1),n5) ),
inference(superposition,[status(thm)],[c_8568,c_4276]) ).
tcf(c_8968,plain,
( ( a_select3(pminus_ds1_filter,plus(n1,pv5),sK8) = a_select3(pminus_ds1_filter,sK8,plus(n1,pv5)) )
| ~ leq(plus(n1,pv5),n5) ),
inference(superposition,[status(thm)],[c_8605,c_4277]) ).
tcf(c_8969,plain,
( ( a_select3(q_ds1_filter,plus(n1,pv5),sK8) = a_select3(q_ds1_filter,sK8,plus(n1,pv5)) )
| ~ leq(plus(n1,pv5),n5) ),
inference(superposition,[status(thm)],[c_8605,c_4276]) ).
tcf(c_9141,plain,
( ( a_select3(pminus_ds1_filter,plus(n2,n0),sK8) = a_select3(pminus_ds1_filter,sK8,plus(n2,n0)) )
| ~ leq(plus(n2,n0),n5) ),
inference(superposition,[status(thm)],[c_9120,c_4277]) ).
tcf(c_9142,plain,
( ( a_select3(q_ds1_filter,plus(n2,n0),sK8) = a_select3(q_ds1_filter,sK8,plus(n2,n0)) )
| ~ leq(plus(n2,n0),n5) ),
inference(superposition,[status(thm)],[c_9120,c_4276]) ).
tcf(c_9256,plain,
( ( a_select3(pminus_ds1_filter,plus(n2,pv5),sK8) = a_select3(pminus_ds1_filter,sK8,plus(n2,pv5)) )
| ~ leq(plus(n2,pv5),n5) ),
inference(superposition,[status(thm)],[c_9152,c_4277]) ).
tcf(c_9257,plain,
( ( a_select3(q_ds1_filter,plus(n2,pv5),sK8) = a_select3(q_ds1_filter,sK8,plus(n2,pv5)) )
| ~ leq(plus(n2,pv5),n5) ),
inference(superposition,[status(thm)],[c_9152,c_4276]) ).
tcf(c_9434,plain,
( ( a_select3(pminus_ds1_filter,plus(n1,n999),sK8) = a_select3(pminus_ds1_filter,sK8,plus(n1,n999)) )
| ~ leq(plus(n1,n999),n5) ),
inference(superposition,[status(thm)],[c_9240,c_4277]) ).
tcf(c_9435,plain,
( ( a_select3(q_ds1_filter,plus(n1,n999),sK8) = a_select3(q_ds1_filter,sK8,plus(n1,n999)) )
| ~ leq(plus(n1,n999),n5) ),
inference(superposition,[status(thm)],[c_9240,c_4276]) ).
tcf(c_9560,plain,
( ( a_select3(r_ds1_filter,n0,sK8) = a_select3(r_ds1_filter,sK8,n0) )
| ~ leq(sK8,n2) ),
inference(superposition,[status(thm)],[c_4248,c_9552]) ).
tcf(c_9561,plain,
( ( a_select3(r_ds1_filter,n0,sK7) = a_select3(r_ds1_filter,sK7,n0) )
| ~ leq(sK7,n2) ),
inference(superposition,[status(thm)],[c_4246,c_9552]) ).
tcf(c_9659,plain,
( ( a_select3(pminus_ds1_filter,n0,sK8) = a_select3(pminus_ds1_filter,sK8,n0) )
| ~ leq(sK8,n5) ),
inference(superposition,[status(thm)],[c_4248,c_9651]) ).
tcf(c_9660,plain,
( ( a_select3(pminus_ds1_filter,n0,sK7) = a_select3(pminus_ds1_filter,sK7,n0) )
| ~ leq(sK7,n5) ),
inference(superposition,[status(thm)],[c_4246,c_9651]) ).
tcf(c_9692,plain,
a_select3(pminus_ds1_filter,n0,sK8) = a_select3(pminus_ds1_filter,sK8,n0),
inference(forward_subsumption_resolution,[status(thm)],[c_9659,c_8675]) ).
tcf(c_9775,plain,
( ( a_select3(q_ds1_filter,n0,sK8) = a_select3(q_ds1_filter,sK8,n0) )
| ~ leq(sK8,n5) ),
inference(superposition,[status(thm)],[c_4248,c_9767]) ).
tcf(c_9776,plain,
( ( a_select3(q_ds1_filter,n0,sK7) = a_select3(q_ds1_filter,sK7,n0) )
| ~ leq(sK7,n5) ),
inference(superposition,[status(thm)],[c_4246,c_9767]) ).
tcf(c_9808,plain,
a_select3(q_ds1_filter,n0,sK8) = a_select3(q_ds1_filter,sK8,n0),
inference(forward_subsumption_resolution,[status(thm)],[c_9775,c_8675]) ).
tcf(c_9959,plain,
( ( a_select3(pminus_ds1_filter,plus(n0,n3),sK8) = a_select3(pminus_ds1_filter,sK8,plus(n0,n3)) )
| ~ leq(plus(n0,n3),n5) ),
inference(superposition,[status(thm)],[c_9227,c_4277]) ).
tcf(c_9960,plain,
( ( a_select3(q_ds1_filter,plus(n0,n3),sK8) = a_select3(q_ds1_filter,sK8,plus(n0,n3)) )
| ~ leq(plus(n0,n3),n5) ),
inference(superposition,[status(thm)],[c_9227,c_4276]) ).
tcf(c_10097,plain,
( ( a_select3(pminus_ds1_filter,plus(n3,n0),sK8) = a_select3(pminus_ds1_filter,sK8,plus(n3,n0)) )
| ~ leq(plus(n3,n0),n5) ),
inference(superposition,[status(thm)],[c_9418,c_4277]) ).
tcf(c_10098,plain,
( ( a_select3(q_ds1_filter,plus(n3,n0),sK8) = a_select3(q_ds1_filter,sK8,plus(n3,n0)) )
| ~ leq(plus(n3,n0),n5) ),
inference(superposition,[status(thm)],[c_9418,c_4276]) ).
tcf(c_10307,plain,
( ( a_select3(pminus_ds1_filter,plus(n3,pv5),sK8) = a_select3(pminus_ds1_filter,sK8,plus(n3,pv5)) )
| ~ leq(plus(n3,pv5),n5) ),
inference(superposition,[status(thm)],[c_10108,c_4277]) ).
tcf(c_10308,plain,
( ( a_select3(q_ds1_filter,plus(n3,pv5),sK8) = a_select3(q_ds1_filter,sK8,plus(n3,pv5)) )
| ~ leq(plus(n3,pv5),n5) ),
inference(superposition,[status(thm)],[c_10108,c_4276]) ).
tcf(c_10439,plain,
( ( a_select3(r_ds1_filter,n3,sK8) = a_select3(r_ds1_filter,sK8,n3) )
| ~ leq(sK8,n2)
| ~ leq(n3,n2) ),
inference(superposition,[status(thm)],[c_4248,c_4662]) ).
tcf(c_10440,plain,
( ( a_select3(r_ds1_filter,n3,sK7) = a_select3(r_ds1_filter,sK7,n3) )
| ~ leq(sK7,n2)
| ~ leq(n3,n2) ),
inference(superposition,[status(thm)],[c_4246,c_4662]) ).
tcf(c_10640,plain,
( ( a_select3(q_ds1_filter,sK7,n999) = a_select3(q_ds1_filter,n999,sK7) )
| ~ leq(n999,n5)
| ~ leq(sK7,n5) ),
inference(superposition,[status(thm)],[c_4246,c_5324]) ).
tcf(c_10760,plain,
( ( a_select3(pminus_ds1_filter,sK7,n999) = a_select3(pminus_ds1_filter,n999,sK7) )
| ~ leq(n999,n5)
| ~ leq(sK7,n5) ),
inference(superposition,[status(thm)],[c_4246,c_5326]) ).
tcf(c_10895,plain,
( ( a_select3(r_ds1_filter,sK8,n999) = a_select3(r_ds1_filter,n999,sK8) )
| ~ leq(n999,n2)
| ~ leq(sK8,n2) ),
inference(superposition,[status(thm)],[c_4248,c_5328]) ).
tcf(c_10896,plain,
( ( a_select3(r_ds1_filter,sK7,n999) = a_select3(r_ds1_filter,n999,sK7) )
| ~ leq(n999,n2)
| ~ leq(sK7,n2) ),
inference(superposition,[status(thm)],[c_4246,c_5328]) ).
tcf(c_11026,plain,
( ( a_select3(q_ds1_filter,n6,sK8) = a_select3(q_ds1_filter,sK8,n6) )
| ~ leq(sK8,n5)
| ~ leq(n6,n5) ),
inference(superposition,[status(thm)],[c_4248,c_6277]) ).
tcf(c_11027,plain,
( ( a_select3(q_ds1_filter,n6,sK7) = a_select3(q_ds1_filter,sK7,n6) )
| ~ leq(sK7,n5)
| ~ leq(n6,n5) ),
inference(superposition,[status(thm)],[c_4246,c_6277]) ).
tcf(c_11200,plain,
( ( a_select3(r_ds1_filter,n6,sK8) = a_select3(r_ds1_filter,sK8,n6) )
| ~ leq(sK8,n2)
| ~ leq(n6,n2) ),
inference(superposition,[status(thm)],[c_4248,c_6281]) ).
tcf(c_11201,plain,
( ( a_select3(r_ds1_filter,n6,sK7) = a_select3(r_ds1_filter,sK7,n6) )
| ~ leq(sK7,n2)
| ~ leq(n6,n2) ),
inference(superposition,[status(thm)],[c_4246,c_6281]) ).
tcf(c_11298,plain,
( ( a_select3(q_ds1_filter,sK8,n4) = a_select3(q_ds1_filter,n4,sK8) )
| ~ leq(sK8,n5) ),
inference(superposition,[status(thm)],[c_4248,c_11290]) ).
tcf(c_11299,plain,
( ( a_select3(q_ds1_filter,sK7,n4) = a_select3(q_ds1_filter,n4,sK7) )
| ~ leq(sK7,n5) ),
inference(superposition,[status(thm)],[c_4246,c_11290]) ).
tcf(c_11329,plain,
a_select3(q_ds1_filter,sK8,n4) = a_select3(q_ds1_filter,n4,sK8),
inference(forward_subsumption_resolution,[status(thm)],[c_11298,c_8675]) ).
tcf(c_11431,plain,
( ( a_select3(pminus_ds1_filter,sK8,n4) = a_select3(pminus_ds1_filter,n4,sK8) )
| ~ leq(sK8,n5) ),
inference(superposition,[status(thm)],[c_4248,c_11423]) ).
tcf(c_11432,plain,
( ( a_select3(pminus_ds1_filter,sK7,n4) = a_select3(pminus_ds1_filter,n4,sK7) )
| ~ leq(sK7,n5) ),
inference(superposition,[status(thm)],[c_4246,c_11423]) ).
tcf(c_11462,plain,
a_select3(pminus_ds1_filter,sK8,n4) = a_select3(pminus_ds1_filter,n4,sK8),
inference(forward_subsumption_resolution,[status(thm)],[c_11431,c_8675]) ).
tcf(c_11536,plain,
( ( a_select3(r_ds1_filter,sK8,n4) = a_select3(r_ds1_filter,n4,sK8) )
| ~ leq(n4,n2)
| ~ leq(sK8,n2) ),
inference(superposition,[status(thm)],[c_4248,c_7477]) ).
tcf(c_11537,plain,
( ( a_select3(r_ds1_filter,sK7,n4) = a_select3(r_ds1_filter,n4,sK7) )
| ~ leq(n4,n2)
| ~ leq(sK7,n2) ),
inference(superposition,[status(thm)],[c_4246,c_7477]) ).
tcf(c_11711,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_11564,c_11560,c_11559,c_11558,c_11557,c_11556,c_11555,c_11554,c_11553,c_11552,c_11551,c_11550,c_11549,c_11588,c_11546,c_11542,c_11541,c_11539,c_11537,c_11536,c_11462,c_11459,c_11458,c_11457,c_11456,c_11455,c_11454,c_11453,c_11452,c_11451,c_11450,c_11449,c_11448,c_11447,c_11446,c_11445,c_11444,c_11442,c_11441,c_11438,c_11437,c_11436,c_11434,c_11432,c_11431,c_11423,c_11329,c_11326,c_11325,c_11324,c_11323,c_11322,c_11321,c_11320,c_11319,c_11318,c_11317,c_11316,c_11315,c_11314,c_11313,c_11312,c_11311,c_11309,c_11308,c_11305,c_11304,c_11303,c_11301,c_11299,c_11298,c_11290,c_11232,c_11224,c_11223,c_11222,c_11221,c_11220,c_11219,c_11218,c_11217,c_11216,c_11215,c_11214,c_11213,c_11212,c_11211,c_11210,c_11206,c_11205,c_11203,c_11201,c_11200,c_11181,c_11179,c_11178,c_11177,c_11176,c_11175,c_11174,c_11173,c_11172,c_11171,c_11170,c_11169,c_11168,c_11167,c_11166,c_11165,c_11164,c_11163,c_11061,c_11058,c_11055,c_11052,c_11050,c_11049,c_11048,c_11047,c_11046,c_11045,c_11044,c_11043,c_11042,c_11041,c_11040,c_11039,c_11038,c_11037,c_11036,c_11033,c_11032,c_11031,c_11029,c_11027,c_11026,c_10930,c_10919,c_10918,c_10917,c_10916,c_10915,c_10914,c_10913,c_10912,c_10911,c_10910,c_10909,c_10908,c_10907,c_10906,c_10905,c_10904,c_10901,c_10900,c_10898,c_10896,c_10895,c_10797,c_10794,c_10788,c_10785,c_10783,c_10782,c_10781,c_10780,c_10779,c_10778,c_10777,c_10776,c_10775,c_10774,c_10773,c_10772,c_10771,c_10770,c_10769,c_10768,c_10766,c_10765,c_10764,c_10762,c_10760,c_10677,c_10674,c_10668,c_10665,c_10663,c_10662,c_10661,c_10660,c_10659,c_10658,c_10657,c_10656,c_10655,c_10654,c_10653,c_10652,c_10651,c_10650,c_10649,c_10648,c_10646,c_10645,c_10644,c_10642,c_10640,c_10477,c_10463,c_10462,c_10461,c_10460,c_10459,c_10458,c_10457,c_10456,c_10455,c_10454,c_10453,c_10452,c_10451,c_10450,c_10449,c_10448,c_10447,c_10445,c_10444,c_10442,c_10440,c_10439,c_10420,c_10419,c_10316,c_10315,c_10314,c_10313,c_10312,c_10311,c_10310,c_10309,c_10308,c_10307,c_10306,c_10305,c_10304,c_10303,c_10302,c_10301,c_10300,c_10299,c_10298,c_10297,c_10296,c_10295,c_10294,c_10281,c_10274,c_10111,c_10110,c_10109,c_10108,c_10107,c_10105,c_10104,c_10103,c_10102,c_10101,c_10100,c_10099,c_10098,c_10097,c_10096,c_10095,c_10094,c_10093,c_10092,c_10091,c_10090,c_10089,c_10088,c_10087,c_10086,c_10085,c_10084,c_10076,c_9974,c_9973,c_9972,c_9971,c_9970,c_9969,c_9967,c_9966,c_9965,c_9964,c_9963,c_9962,c_9961,c_9960,c_9959,c_9958,c_9957,c_9956,c_9955,c_9954,c_9953,c_9952,c_9951,c_9950,c_9949,c_9948,c_9947,c_9946,c_9943,c_9942,c_9808,c_9805,c_9804,c_9799,c_9798,c_9797,c_9796,c_9795,c_9794,c_9793,c_9792,c_9791,c_9790,c_9789,c_9788,c_9787,c_9786,c_9785,c_9784,c_9783,c_9782,c_9781,c_9780,c_9778,c_9776,c_9775,c_9767,c_9692,c_9689,c_9688,c_9683,c_9682,c_9681,c_9680,c_9679,c_9678,c_9677,c_9676,c_9675,c_9674,c_9673,c_9672,c_9671,c_9670,c_9669,c_9668,c_9667,c_9666,c_9665,c_9664,c_9662,c_9660,c_9659,c_9651,c_9593,c_9586,c_9581,c_9580,c_9579,c_9578,c_9577,c_9576,c_9575,c_9574,c_9573,c_9572,c_9571,c_9570,c_9569,c_9568,c_9567,c_9566,c_9565,c_9563,c_9561,c_9560,c_9552,c_9443,c_9442,c_9441,c_9440,c_9439,c_9438,c_9437,c_9436,c_9435,c_9434,c_9433,c_9432,c_9431,c_9430,c_9429,c_9428,c_9427,c_9426,c_9425,c_9424,c_9419,c_9418,c_9417,c_9416,c_9265,c_9264,c_9263,c_9262,c_9261,c_9260,c_9259,c_9258,c_9257,c_9256,c_9255,c_9254,c_9253,c_9252,c_9251,c_9250,c_9249,c_9248,c_9247,c_9246,c_9240,c_9239,c_9238,c_9235,c_9234,c_10082,c_9229,c_9227,c_9226,c_9224,c_9415,c_9158,c_9155,c_9154,c_9153,c_9152,c_9151,c_9149,c_9148,c_9147,c_9146,c_9145,c_9144,c_9143,c_9142,c_9141,c_9140,c_9139,c_9138,c_9137,c_9136,c_9130,c_9129,c_9121,c_9120,c_9119,c_9118,c_9117,c_9111,c_9110,c_9107,c_8977,c_8976,c_8975,c_8974,c_8973,c_8972,c_8971,c_8970,c_8969,c_8968,c_8967,c_8966,c_8965,c_8964,c_8963,c_8962,c_8961,c_8960,c_8959,c_8958,c_8764,c_8763,c_8762,c_8761,c_8760,c_8758,c_8757,c_8756,c_8755,c_8754,c_8753,c_8752,c_8751,c_8750,c_8749,c_8748,c_8747,c_8746,c_8745,c_8744,c_8743,c_8742,c_8741,c_8740,c_8737,c_8736,c_8735,c_8718,c_8715,c_8712,c_8711,c_8710,c_8692,c_8691,c_8690,c_8688,c_8677,c_8676,c_8656,c_8655,c_8609,c_8607,c_8606,c_8605,c_8603,c_8600,c_8599,c_8598,c_8597,c_8596,c_8595,c_8594,c_8593,c_8592,c_8591,c_8590,c_8589,c_8582,c_8581,c_8580,c_8579,c_8573,c_8571,c_8570,c_8568,c_8391,c_8390,c_8381,c_8378,c_8377,c_8376,c_8375,c_8374,c_8373,c_8372,c_8385,c_8117,c_8116,c_8112,c_8111,c_8110,c_8109,c_8108,c_8107,c_8106,c_8105,c_8104,c_8103,c_8102,c_8101,c_8100,c_8099,c_8098,c_8063,c_8029,c_8013,c_7998,c_7916,c_7915,c_7914,c_7913,c_7912,c_7911,c_7910,c_7907,c_7904,c_7903,c_7902,c_7901,c_7900,c_7893,c_8113,c_8387,c_7858,c_8114,c_8388,c_7776,c_7775,c_7774,c_7770,c_7767,c_7765,c_7764,c_7671,c_7670,c_7669,c_7666,c_7665,c_7662,c_7660,c_7659,c_7632,c_8115,c_8389,c_7478,c_7477,c_7476,c_7475,c_7474,c_7473,c_7472,c_7471,c_7470,c_7469,c_7468,c_7467,c_7466,c_7465,c_7464,c_7463,c_7458,c_7438,c_7434,c_7430,c_7427,c_7425,c_7424,c_7423,c_7422,c_7413,c_7412,c_7411,c_7410,c_7409,c_7408,c_7407,c_7406,c_7405,c_7403,c_7402,c_7401,c_7400,c_7392,c_7339,c_7338,c_7337,c_7336,c_7335,c_7332,c_7330,c_7329,c_7256,c_7255,c_7254,c_7253,c_7252,c_7249,c_7247,c_7246,c_8675,c_8654,c_7141,c_7140,c_7139,c_7138,c_7137,c_7136,c_7134,c_7132,c_7131,c_7076,c_7075,c_7074,c_7073,c_7072,c_7071,c_7069,c_7067,c_7066,c_7052,c_7033,c_7032,c_7031,c_7015,c_7014,c_7012,c_7003,c_7000,c_6999,c_6998,c_6997,c_6987,c_6976,c_6974,c_6945,c_6940,c_6935,c_6931,c_6929,c_6898,c_6897,c_6896,c_6895,c_6894,c_6893,c_6892,c_6891,c_6889,c_6888,c_6878,c_6870,c_6868,c_6759,c_6758,c_6757,c_6756,c_6755,c_6754,c_6753,c_6752,c_6751,c_6750,c_6749,c_6748,c_6747,c_6746,c_6745,c_6596,c_6595,c_6594,c_6593,c_6592,c_6591,c_6590,c_6589,c_6588,c_6587,c_6586,c_6585,c_6584,c_6583,c_6582,c_6581,c_6580,c_6574,c_6573,c_6572,c_6571,c_6569,c_6471,c_6449,c_6447,c_6359,c_6358,c_6357,c_6356,c_6355,c_6354,c_6353,c_6352,c_6351,c_6350,c_6349,c_6348,c_6347,c_6339,c_6337,c_6336,c_6282,c_6281,c_6280,c_6279,c_6278,c_6277,c_6276,c_6275,c_6274,c_6273,c_6272,c_6271,c_6267,c_6262,c_6257,c_6085,c_6084,c_6083,c_6082,c_6081,c_6080,c_6079,c_6078,c_6077,c_6076,c_6075,c_6074,c_6073,c_6072,c_6071,c_6070,c_6069,c_6068,c_6067,c_6066,c_6065,c_6064,c_6063,c_6062,c_6061,c_6060,c_6059,c_6058,c_6057,c_6056,c_6055,c_6054,c_6053,c_6052,c_6051,c_6050,c_6049,c_6048,c_6047,c_6046,c_6045,c_6043,c_5916,c_5915,c_5914,c_5913,c_5912,c_5911,c_5910,c_5909,c_5908,c_5907,c_5906,c_5905,c_5904,c_5903,c_5902,c_5901,c_5900,c_5899,c_5898,c_5897,c_5895,c_5894,c_5893,c_5892,c_5668,c_5667,c_5666,c_5665,c_5664,c_5663,c_5662,c_5661,c_5660,c_5659,c_5658,c_5657,c_5656,c_5655,c_5654,c_5653,c_5652,c_5651,c_5650,c_5649,c_5648,c_5647,c_5646,c_5645,c_5644,c_5643,c_5642,c_5641,c_5640,c_5639,c_5637,c_5498,c_5497,c_5496,c_5495,c_5494,c_5493,c_5492,c_5491,c_5490,c_5489,c_5488,c_5487,c_5486,c_5485,c_5484,c_5483,c_5482,c_5481,c_5480,c_5479,c_5478,c_5477,c_5476,c_5475,c_5474,c_5473,c_5472,c_5471,c_5470,c_5469,c_5468,c_5462,c_5463,c_5460,c_5459,c_5446,c_5445,c_5442,c_5441,c_5440,c_5439,c_5438,c_5437,c_5436,c_5428,c_5410,c_5409,c_5406,c_5405,c_5404,c_5403,c_5402,c_5401,c_5400,c_5392,c_5328,c_5327,c_5326,c_5325,c_5324,c_5323,c_5322,c_5321,c_5320,c_5294,c_5292,c_5291,c_5290,c_5218,c_5217,c_5216,c_5215,c_5214,c_5205,c_5204,c_5203,c_5202,c_5198,c_5197,c_5196,c_5195,c_5194,c_5193,c_5192,c_5190,c_5189,c_5188,c_5187,c_5186,c_5182,c_5181,c_5180,c_5191,c_5178,c_5177,c_5201,c_5200,c_5199,c_5162,c_5161,c_5160,c_5159,c_5158,c_5149,c_5148,c_5147,c_5146,c_5145,c_5144,c_5141,c_5140,c_5139,c_5138,c_5137,c_5136,c_5134,c_5133,c_5132,c_5131,c_5130,c_5127,c_5126,c_5125,c_5124,c_5135,c_5122,c_5121,c_5143,c_5142,c_5105,c_5106,c_5102,c_5094,c_5095,c_5076,c_5073,c_5072,c_5071,c_5070,c_5069,c_5068,c_5060,c_5056,c_5054,c_5053,c_5051,c_5044,c_5040,c_4918,c_4917,c_4916,c_4915,c_4914,c_4913,c_4912,c_4911,c_4910,c_4909,c_4900,c_4808,c_4807,c_4806,c_4805,c_4804,c_4803,c_4802,c_4801,c_4800,c_4799,c_4798,c_4797,c_4796,c_4795,c_4794,c_4793,c_4792,c_4791,c_4790,c_4789,c_4788,c_4787,c_4754,c_4753,c_4752,c_4751,c_4750,c_4755,c_4741,c_4735,c_4729,c_4720,c_4719,c_4718,c_4717,c_4716,c_4715,c_4700,c_4699,c_4698,c_4697,c_4696,c_4695,c_4680,c_4676,c_4669,c_4666,c_4662,c_4661,c_4660,c_4659,c_4658,c_4657,c_4628,c_4625,c_4624,c_4623,c_4622,c_4621,c_4620,c_4619,c_4618,c_4616,c_4615,c_4614,c_4583,c_4582,c_4581,c_4580,c_4579,c_4578,c_4577,c_4576,c_4574,c_4573,c_4572,c_4490,c_4489,c_4488,c_4487,c_4486,c_4485,c_4484,c_4483,c_4482,c_4481,c_4480,c_4479,c_4473,c_4472,c_4462,c_4461,c_4460,c_4433,c_4432,c_4431,c_4430,c_4408,c_4407,c_4406,c_4381,c_4380,c_4379,c_4378,c_4362,c_4361,c_4360,c_4337,c_4336,c_4335,c_4334,c_4322,c_4321,c_4319,c_4318,c_4317,c_4281,c_4280,c_4279,c_4278,c_4277,c_4276,c_4266,c_4265,c_4264,c_4263,c_4262,c_4261,c_4260,c_4259,c_4258,c_4257,c_4256,c_4255,c_4253,c_4250,c_4251,c_4248,c_4247,c_4246,c_4245,c_4243,c_4240,c_4230,c_4227,c_4217,c_4211,c_4200,c_4199,c_4198,c_4187,c_4183,c_4181,c_4179,c_4178,c_4177,c_4176,c_4175,c_4174,c_4173,c_4172,c_4171,c_4170,c_4169,c_4168,c_4167,c_4166,c_4165,c_4164,c_4163,c_4162,c_4161,c_4160,c_4159,c_4158,c_4157,c_4156,c_4155,c_4154,c_4153,c_4152,c_4151,c_4150,c_4149,c_4148,c_4147,c_4146,c_4145,c_4144,c_4143,c_4114,c_4113,c_4112,c_4111,c_4086,c_4085,c_4084,c_4083,c_4058,c_4057,c_4056,c_4055,c_4037,c_4036,c_4035,c_4027,c_4026,c_4028,c_4015,c_4004,c_3992,c_3991,c_3980,c_3953,c_3910,c_3899,c_3898,c_3883,c_3860,c_3859,c_3858,c_3842,c_3826,c_3809,c_3808,c_4749,c_993,c_992,c_991,c_990,c_989,c_988,c_961,c_960,c_959,c_926,c_897,c_190,c_188,c_186,c_184,c_182,c_8717,c_151,c_150,c_149,c_146,c_145,c_144,c_143,c_142,c_141,c_140,c_137,c_136,c_132,c_131,c_130,c_128,c_127,c_126,c_125,c_124,c_122,c_121,c_120,c_119,c_118,c_117,c_116,c_115,c_113,c_112,c_111,c_110,c_109,c_108,c_107,c_106,c_105,c_104,c_103,c_102,c_101,c_100,c_99,c_98,c_96,c_95,c_94,c_93,c_92,c_91,c_90,c_89,c_88,c_87,c_86,c_85,c_84,c_83,c_82,c_81,c_80,c_79,c_78,c_77,c_76,c_75,c_74,c_73,c_72,c_71,c_70,c_69,c_63,c_62,c_61,c_60,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV114+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.19/0.45 % Computer : n011.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Thu Sep 24 18:32:45 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.46 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.23/0.52 Running first-order theorem proving
% 0.23/0.52 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.54
% 0.23/0.54 % ======== iProver multi-core TPTP/SMT =========
% 0.23/0.54
% 0.23/0.54 % Detected problem language: tptp
% 0.23/0.56 % Proving...
% 4.96/2.45 % SZS status Started for theBenchmark.p
% 4.96/2.45 % SZS status Theorem for theBenchmark.p
% 4.96/2.45
% 4.96/2.45 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.96/2.45
% 4.96/2.45 % ------ iProver source info
% 4.96/2.45
% 4.96/2.45 % git: date: 2026-07-19 20:42:38 +0200
% 4.96/2.45 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.96/2.45 % git: non_committed_changes: false
% 4.96/2.45
% 4.96/2.45 % ------ Parsing...
% 4.96/2.45 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.96/2.45
% 4.96/2.45 % ------ Preprocessing... sup_sim: 11 sf_s rm: 1 0s sf_e pe_s pe_e %
% 4.96/2.45
% 4.96/2.45 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.96/2.45
% 4.96/2.45 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.96/2.45 % ------ Proving...
% 4.96/2.45 % ------ Problem Properties
% 4.96/2.45
% 4.96/2.45 %
% 4.96/2.45 % clauses 103
% 4.96/2.45 % conjectures 10
% 4.96/2.45 % EPR 59
% 4.96/2.45 % Horn 90
% 4.96/2.45 % unary 59
% 4.96/2.45 % binary 25
% 4.96/2.45 % lits 198
% 4.96/2.45 % lits eq 55
% 4.96/2.45 % fd_pure 0
% 4.96/2.45 % fd_pseudo 0
% 4.96/2.45 % fd_cond 7
% 4.96/2.45 % fd_pseudo_cond 2
% 4.96/2.45 % AC symbols 0
% 4.96/2.45
% 4.96/2.45 % ------ Schedule dynamic 5 is on
% 4.96/2.45
% 4.96/2.45 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.96/2.45
% 4.96/2.45
% 4.96/2.45 % ------
% 4.96/2.45 % Current options:
% 4.96/2.45 % ------
% 4.96/2.45
% 4.96/2.45
% 4.96/2.45 %
% 4.96/2.45
% 4.96/2.45 % ------ Proving...
% 4.96/2.45 %
% 4.96/2.45
% 4.96/2.45 % SZS status Theorem for theBenchmark.p
% 4.96/2.45
% 4.96/2.45 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.96/2.48
% 4.96/2.48
%------------------------------------------------------------------------------