%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : COM005-1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n018.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 01:04:15 PM UTC 2026
% Result : Unsatisfiable 48.14s 11.41s
% Output : CNFRefutation 48.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 268
% Syntax : Number of formulae : 3033 ( 3 unt; 0 def)
% Number of atoms : 12942 ( 0 equ)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 16658 (6749 ~;9909 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 17 ( 5 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 25 ( 24 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 2342 ( 0 sgn2342 !; 0 ?;2075 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
ap(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c001) ).
fof(f2,negated_conjecture,
! [X0] :
( ~ aq(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c002) ).
fof(f3,negated_conjecture,
! [X0] :
( ~ ar(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c003) ).
fof(f4,negated_conjecture,
! [X0] :
( ~ ar(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c004) ).
fof(f5,negated_conjecture,
! [X0] :
( ar(X0)
| aq(X0)
| ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c005) ).
fof(f6,negated_conjecture,
! [X0] :
( ~ p(X0)
| ~ pqr1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c006) ).
fof(f7,negated_conjecture,
! [X0] :
( pp(X0)
| ~ pqr1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c007) ).
fof(f8,negated_conjecture,
! [X0] :
( ~ q(X0)
| ~ pqr1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c008) ).
fof(f9,negated_conjecture,
! [X0] :
( ~ qq(X0)
| ~ pqr1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c009) ).
fof(f10,negated_conjecture,
! [X0] :
( r(X0)
| ~ pqr1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c010) ).
fof(f11,negated_conjecture,
! [X0] :
( ~ rr(X0)
| ~ pqr1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c011) ).
fof(f12,negated_conjecture,
! [X0] :
( aq(X0)
| ~ pqr1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c012) ).
fof(f13,negated_conjecture,
! [X0] :
( p(X0)
| ~ pqr2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c013) ).
fof(f14,negated_conjecture,
! [X0] :
( pp(X0)
| ~ pqr2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c014) ).
fof(f15,negated_conjecture,
! [X0] :
( q(X0)
| ~ pqr2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c015) ).
fof(f16,negated_conjecture,
! [X0] :
( ~ qq(X0)
| ~ pqr2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c016) ).
fof(f17,negated_conjecture,
! [X0] :
( ~ r(X0)
| ~ pqr2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c017) ).
fof(f18,negated_conjecture,
! [X0] :
( ~ rr(X0)
| ~ pqr2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c018) ).
fof(f19,negated_conjecture,
! [X0] :
( aq(X0)
| ~ pqr2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c019) ).
fof(f20,negated_conjecture,
! [X0] :
( p(X0)
| ~ pqr3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c020) ).
fof(f21,negated_conjecture,
! [X0] :
( ~ pp(X0)
| ~ pqr3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c021) ).
fof(f22,negated_conjecture,
! [X0] :
( ~ q(X0)
| ~ pqr3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c022) ).
fof(f23,negated_conjecture,
! [X0] :
( ~ qq(X0)
| ~ pqr3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c023) ).
fof(f24,negated_conjecture,
! [X0] :
( ~ r(X0)
| ~ pqr3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c024) ).
fof(f25,negated_conjecture,
! [X0] :
( rr(X0)
| ~ pqr3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c025) ).
fof(f26,negated_conjecture,
! [X0] :
( aq(X0)
| ~ pqr3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c026) ).
fof(f27,negated_conjecture,
! [X0] :
( ~ p(X0)
| ~ pqr4(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c027) ).
fof(f28,negated_conjecture,
! [X0] :
( ~ pp(X0)
| ~ pqr4(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c028) ).
fof(f29,negated_conjecture,
! [X0] :
( q(X0)
| ~ pqr4(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c029) ).
fof(f30,negated_conjecture,
! [X0] :
( ~ qq(X0)
| ~ pqr4(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c030) ).
fof(f31,negated_conjecture,
! [X0] :
( r(X0)
| ~ pqr4(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c031) ).
fof(f32,negated_conjecture,
! [X0] :
( rr(X0)
| ~ pqr4(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c032) ).
fof(f33,negated_conjecture,
! [X0] :
( aq(X0)
| ~ pqr4(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c033) ).
fof(f34,negated_conjecture,
! [X0] :
( ~ q(X0)
| ~ qrp1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c034) ).
fof(f35,negated_conjecture,
! [X0] :
( qq(X0)
| ~ qrp1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c035) ).
fof(f36,negated_conjecture,
! [X0] :
( ~ r(X0)
| ~ qrp1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c036) ).
fof(f37,negated_conjecture,
! [X0] :
( ~ rr(X0)
| ~ qrp1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c037) ).
fof(f38,negated_conjecture,
! [X0] :
( p(X0)
| ~ qrp1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c038) ).
fof(f39,negated_conjecture,
! [X0] :
( ~ pp(X0)
| ~ qrp1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c039) ).
fof(f40,negated_conjecture,
! [X0] :
( ar(X0)
| ~ qrp1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c040) ).
fof(f41,negated_conjecture,
! [X0] :
( q(X0)
| ~ qrp2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c041) ).
fof(f42,negated_conjecture,
! [X0] :
( qq(X0)
| ~ qrp2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c042) ).
fof(f43,negated_conjecture,
! [X0] :
( r(X0)
| ~ qrp2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c043) ).
fof(f44,negated_conjecture,
! [X0] :
( ~ rr(X0)
| ~ qrp2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c044) ).
fof(f45,negated_conjecture,
! [X0] :
( ~ p(X0)
| ~ qrp2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c045) ).
fof(f46,negated_conjecture,
! [X0] :
( ~ pp(X0)
| ~ qrp2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c046) ).
fof(f47,negated_conjecture,
! [X0] :
( ar(X0)
| ~ qrp2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c047) ).
fof(f48,negated_conjecture,
! [X0] :
( q(X0)
| ~ qrp3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c048) ).
fof(f49,negated_conjecture,
! [X0] :
( ~ qq(X0)
| ~ qrp3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c049) ).
fof(f50,negated_conjecture,
! [X0] :
( ~ r(X0)
| ~ qrp3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c050) ).
fof(f51,negated_conjecture,
! [X0] :
( ~ rr(X0)
| ~ qrp3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c051) ).
fof(f52,negated_conjecture,
! [X0] :
( ~ p(X0)
| ~ qrp3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c052) ).
fof(f53,negated_conjecture,
! [X0] :
( pp(X0)
| ~ qrp3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c053) ).
fof(f54,negated_conjecture,
! [X0] :
( ar(X0)
| ~ qrp3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c054) ).
fof(f55,negated_conjecture,
! [X0] :
( ~ q(X0)
| ~ qrp4(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c055) ).
fof(f56,negated_conjecture,
! [X0] :
( ~ qq(X0)
| ~ qrp4(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c056) ).
fof(f57,negated_conjecture,
! [X0] :
( r(X0)
| ~ qrp4(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c057) ).
fof(f58,negated_conjecture,
! [X0] :
( ~ rr(X0)
| ~ qrp4(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c058) ).
fof(f59,negated_conjecture,
! [X0] :
( p(X0)
| ~ qrp4(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c059) ).
fof(f60,negated_conjecture,
! [X0] :
( pp(X0)
| ~ qrp4(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c060) ).
fof(f61,negated_conjecture,
! [X0] :
( ar(X0)
| ~ qrp4(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c061) ).
fof(f62,negated_conjecture,
! [X0] :
( ~ r(X0)
| ~ rpq1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c062) ).
fof(f63,negated_conjecture,
! [X0] :
( rr(X0)
| ~ rpq1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c063) ).
fof(f64,negated_conjecture,
! [X0] :
( ~ p(X0)
| ~ rpq1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c064) ).
fof(f65,negated_conjecture,
! [X0] :
( ~ pp(X0)
| ~ rpq1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c065) ).
fof(f66,negated_conjecture,
! [X0] :
( q(X0)
| ~ rpq1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c066) ).
fof(f67,negated_conjecture,
! [X0] :
( ~ qq(X0)
| ~ rpq1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c067) ).
fof(f68,negated_conjecture,
! [X0] :
( ap(X0)
| ~ rpq1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c068) ).
fof(f69,negated_conjecture,
! [X0] :
( r(X0)
| ~ rpq2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c069) ).
fof(f70,negated_conjecture,
! [X0] :
( rr(X0)
| ~ rpq2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c070) ).
fof(f71,negated_conjecture,
! [X0] :
( p(X0)
| ~ rpq2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c071) ).
fof(f72,negated_conjecture,
! [X0] :
( ~ pp(X0)
| ~ rpq2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c072) ).
fof(f73,negated_conjecture,
! [X0] :
( ~ q(X0)
| ~ rpq2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c073) ).
fof(f74,negated_conjecture,
! [X0] :
( ~ qq(X0)
| ~ rpq2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c074) ).
fof(f75,negated_conjecture,
! [X0] :
( ap(X0)
| ~ rpq2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c075) ).
fof(f76,negated_conjecture,
! [X0] :
( r(X0)
| ~ rpq3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c076) ).
fof(f77,negated_conjecture,
! [X0] :
( ~ rr(X0)
| ~ rpq3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c077) ).
fof(f78,negated_conjecture,
! [X0] :
( ~ p(X0)
| ~ rpq3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c078) ).
fof(f79,negated_conjecture,
! [X0] :
( ~ pp(X0)
| ~ rpq3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c079) ).
fof(f80,negated_conjecture,
! [X0] :
( ~ q(X0)
| ~ rpq3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c080) ).
fof(f81,negated_conjecture,
! [X0] :
( qq(X0)
| ~ rpq3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c081) ).
fof(f82,negated_conjecture,
! [X0] :
( ap(X0)
| ~ rpq3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c082) ).
fof(f83,negated_conjecture,
! [X0] :
( ~ r(X0)
| ~ rpq4(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c083) ).
fof(f84,negated_conjecture,
! [X0] :
( ~ rr(X0)
| ~ rpq4(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c084) ).
fof(f85,negated_conjecture,
! [X0] :
( p(X0)
| ~ rpq4(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c085) ).
fof(f86,negated_conjecture,
! [X0] :
( ~ pp(X0)
| ~ rpq4(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c086) ).
fof(f87,negated_conjecture,
! [X0] :
( q(X0)
| ~ rpq4(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c087) ).
fof(f88,negated_conjecture,
! [X0] :
( qq(X0)
| ~ rpq4(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c088) ).
fof(f89,negated_conjecture,
! [X0] :
( ap(X0)
| ~ rpq4(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c089) ).
fof(f90,negated_conjecture,
! [X0] :
( ~ pr(X0)
| ~ rq(X0)
| ~ qp(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c090) ).
fof(f91,negated_conjecture,
! [X0] :
( pr(X0)
| rq(X0)
| qp(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c091) ).
fof(f92,negated_conjecture,
! [X0] :
( aq(s(X0))
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c092) ).
fof(f93,negated_conjecture,
! [X0] :
( ar(s(X0))
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c093) ).
fof(f94,negated_conjecture,
! [X0] :
( ap(s(X0))
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c094) ).
fof(f95,negated_conjecture,
! [X0] :
( q(s(X0))
| r(X0)
| q(X0)
| p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c095) ).
fof(f96,negated_conjecture,
! [X0] :
( ~ qq(s(X0))
| r(X0)
| q(X0)
| p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c096) ).
fof(f97,negated_conjecture,
! [X0] :
( q(s(X0))
| r(X0)
| ~ q(X0)
| p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c097) ).
fof(f98,negated_conjecture,
! [X0] :
( ~ qq(s(X0))
| r(X0)
| ~ q(X0)
| p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c098) ).
fof(f99,negated_conjecture,
! [X0] :
( ~ q(s(X0))
| ~ r(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c099) ).
fof(f100,negated_conjecture,
! [X0] :
( ~ qq(s(X0))
| ~ r(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c100) ).
fof(f101,negated_conjecture,
! [X0] :
( ~ q(s(X0))
| ~ r(X0)
| q(X0)
| ~ p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c101) ).
fof(f102,negated_conjecture,
! [X0] :
( ~ qq(s(X0))
| ~ r(X0)
| q(X0)
| ~ p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c102) ).
fof(f103,negated_conjecture,
! [X0] :
( ~ q(s(X0))
| ~ r(X0)
| qq(X0)
| q(X0)
| pp(X0)
| p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c103) ).
fof(f104,negated_conjecture,
! [X0] :
( qq(s(X0))
| ~ r(X0)
| qq(X0)
| q(X0)
| pp(X0)
| p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c104) ).
fof(f105,negated_conjecture,
! [X0] :
( ~ q(s(X0))
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| ~ pp(X0)
| p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c105) ).
fof(f106,negated_conjecture,
! [X0] :
( ~ qq(s(X0))
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| ~ pp(X0)
| p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c106) ).
fof(f107,negated_conjecture,
! [X0] :
( q(s(X0))
| r(X0)
| qq(X0)
| ~ q(X0)
| pp(X0)
| ~ p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c107) ).
fof(f108,negated_conjecture,
! [X0] :
( qq(s(X0))
| r(X0)
| qq(X0)
| ~ q(X0)
| pp(X0)
| ~ p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c108) ).
fof(f109,negated_conjecture,
! [X0] :
( q(s(X0))
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c109) ).
fof(f110,negated_conjecture,
! [X0] :
( ~ qq(s(X0))
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c110) ).
fof(f111,negated_conjecture,
! [X0] :
( ~ q(s(X0))
| rr(X0)
| r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c111) ).
fof(f112,negated_conjecture,
! [X0] :
( qq(s(X0))
| rr(X0)
| r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c112) ).
fof(f113,negated_conjecture,
! [X0] :
( ~ q(s(X0))
| ~ rr(X0)
| r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c113) ).
fof(f114,negated_conjecture,
! [X0] :
( ~ qq(s(X0))
| ~ rr(X0)
| r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c114) ).
fof(f115,negated_conjecture,
! [X0] :
( q(s(X0))
| rr(X0)
| ~ r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c115) ).
fof(f116,negated_conjecture,
! [X0] :
( qq(s(X0))
| rr(X0)
| ~ r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c116) ).
fof(f117,negated_conjecture,
! [X0] :
( q(s(X0))
| ~ rr(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c117) ).
fof(f118,negated_conjecture,
! [X0] :
( ~ qq(s(X0))
| ~ rr(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c118) ).
fof(f119,negated_conjecture,
! [X0] :
( q(s(X0))
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| pp(X0)
| ~ p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c119) ).
fof(f120,negated_conjecture,
! [X0] :
( qq(s(X0))
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| pp(X0)
| ~ p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c120) ).
fof(f121,negated_conjecture,
! [X0] :
( ~ q(s(X0))
| rr(X0)
| r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c121) ).
fof(f122,negated_conjecture,
! [X0] :
( qq(s(X0))
| rr(X0)
| r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c122) ).
fof(f123,negated_conjecture,
! [X0] :
( q(s(X0))
| rr(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c123) ).
fof(f124,negated_conjecture,
! [X0] :
( qq(s(X0))
| rr(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c124) ).
fof(f125,negated_conjecture,
! [X0] :
( ~ q(s(X0))
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| pp(X0)
| p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c125) ).
fof(f126,negated_conjecture,
! [X0] :
( qq(s(X0))
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| pp(X0)
| p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c126) ).
fof(f127,negated_conjecture,
! [X0] :
( q(s(X0))
| ~ rr(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c127) ).
fof(f128,negated_conjecture,
! [X0] :
( ~ qq(s(X0))
| ~ rr(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c128) ).
fof(f129,negated_conjecture,
! [X0] :
( ~ q(s(X0))
| ~ rr(X0)
| r(X0)
| qq(X0)
| q(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c129) ).
fof(f130,negated_conjecture,
! [X0] :
( ~ qq(s(X0))
| ~ rr(X0)
| r(X0)
| qq(X0)
| q(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c130) ).
fof(f131,negated_conjecture,
! [X0] :
( q(s(X0))
| ~ rr(X0)
| ~ r(X0)
| qq(X0)
| ~ q(X0)
| ~ pp(X0)
| p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c131) ).
fof(f132,negated_conjecture,
! [X0] :
( ~ qq(s(X0))
| ~ rr(X0)
| ~ r(X0)
| qq(X0)
| ~ q(X0)
| ~ pp(X0)
| p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c132) ).
fof(f133,negated_conjecture,
! [X0] :
( ~ q(s(X0))
| ~ rr(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ pp(X0)
| p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c133) ).
fof(f134,negated_conjecture,
! [X0] :
( ~ qq(s(X0))
| ~ rr(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ pp(X0)
| p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c134) ).
fof(f135,negated_conjecture,
! [X0] :
( q(s(X0))
| rr(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ pp(X0)
| p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c135) ).
fof(f136,negated_conjecture,
! [X0] :
( qq(s(X0))
| rr(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ pp(X0)
| p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c136) ).
fof(f137,negated_conjecture,
! [X0] :
( pr(s(X0))
| rr(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ pp(X0)
| p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c137) ).
fof(f138,negated_conjecture,
! [X0] :
( q(s(X0))
| ~ rr(X0)
| r(X0)
| qq(X0)
| q(X0)
| pp(X0)
| ~ p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c138) ).
fof(f139,negated_conjecture,
! [X0] :
( qq(s(X0))
| ~ rr(X0)
| r(X0)
| qq(X0)
| q(X0)
| pp(X0)
| ~ p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c139) ).
fof(f140,negated_conjecture,
! [X0] :
( ~ pr(s(X0))
| ~ rr(X0)
| r(X0)
| qq(X0)
| q(X0)
| pp(X0)
| ~ p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c140) ).
fof(f141,negated_conjecture,
! [X0] :
( ~ q(s(X0))
| rr(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c141) ).
fof(f142,negated_conjecture,
! [X0] :
( qq(s(X0))
| rr(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c142) ).
fof(f143,negated_conjecture,
! [X0] :
( pr(s(X0))
| rr(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c143) ).
fof(f144,negated_conjecture,
! [X0] :
( ~ q(s(X0))
| ~ rr(X0)
| ~ r(X0)
| qq(X0)
| ~ q(X0)
| pp(X0)
| p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c144) ).
fof(f145,negated_conjecture,
! [X0] :
( qq(s(X0))
| ~ rr(X0)
| ~ r(X0)
| qq(X0)
| ~ q(X0)
| pp(X0)
| p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c145) ).
fof(f146,negated_conjecture,
! [X0] :
( ~ pr(s(X0))
| ~ rr(X0)
| ~ r(X0)
| qq(X0)
| ~ q(X0)
| pp(X0)
| p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c146) ).
fof(f147,negated_conjecture,
! [X0] :
( ~ q(s(X0))
| q(X0)
| aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c147) ).
fof(f148,negated_conjecture,
! [X0] :
( q(s(X0))
| ~ q(X0)
| aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c148) ).
fof(f149,negated_conjecture,
! [X0] :
( ~ qq(s(X0))
| qq(X0)
| aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c149) ).
fof(f150,negated_conjecture,
! [X0] :
( qq(s(X0))
| ~ qq(X0)
| aq(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c150) ).
fof(f151,negated_conjecture,
! [X0] :
( pr(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0)
| pqr2(X0)
| pqr1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c151) ).
fof(f152,negated_conjecture,
! [X0] :
( ~ pr(s(X0))
| pr(X0)
| pqr4(X0)
| pqr3(X0)
| pqr2(X0)
| pqr1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c152) ).
fof(f153,negated_conjecture,
! [X0] :
( r(s(X0))
| p(X0)
| r(X0)
| q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c153) ).
fof(f154,negated_conjecture,
! [X0] :
( ~ rr(s(X0))
| p(X0)
| r(X0)
| q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c154) ).
fof(f155,negated_conjecture,
! [X0] :
( r(s(X0))
| p(X0)
| ~ r(X0)
| q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c155) ).
fof(f156,negated_conjecture,
! [X0] :
( ~ rr(s(X0))
| p(X0)
| ~ r(X0)
| q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c156) ).
fof(f157,negated_conjecture,
! [X0] :
( ~ r(s(X0))
| ~ p(X0)
| ~ r(X0)
| ~ q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c157) ).
fof(f158,negated_conjecture,
! [X0] :
( ~ rr(s(X0))
| ~ p(X0)
| ~ r(X0)
| ~ q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c158) ).
fof(f159,negated_conjecture,
! [X0] :
( ~ r(s(X0))
| ~ p(X0)
| r(X0)
| ~ q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c159) ).
fof(f160,negated_conjecture,
! [X0] :
( ~ rr(s(X0))
| ~ p(X0)
| r(X0)
| ~ q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c160) ).
fof(f161,negated_conjecture,
! [X0] :
( ~ r(s(X0))
| ~ p(X0)
| rr(X0)
| r(X0)
| qq(X0)
| q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c161) ).
fof(f162,negated_conjecture,
! [X0] :
( rr(s(X0))
| ~ p(X0)
| rr(X0)
| r(X0)
| qq(X0)
| q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c162) ).
fof(f163,negated_conjecture,
! [X0] :
( ~ r(s(X0))
| ~ p(X0)
| ~ rr(X0)
| r(X0)
| ~ qq(X0)
| q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c163) ).
fof(f164,negated_conjecture,
! [X0] :
( ~ rr(s(X0))
| ~ p(X0)
| ~ rr(X0)
| r(X0)
| ~ qq(X0)
| q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c164) ).
fof(f165,negated_conjecture,
! [X0] :
( r(s(X0))
| p(X0)
| rr(X0)
| ~ r(X0)
| qq(X0)
| ~ q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c165) ).
fof(f166,negated_conjecture,
! [X0] :
( rr(s(X0))
| p(X0)
| rr(X0)
| ~ r(X0)
| qq(X0)
| ~ q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c166) ).
fof(f167,negated_conjecture,
! [X0] :
( r(s(X0))
| p(X0)
| ~ rr(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c167) ).
fof(f168,negated_conjecture,
! [X0] :
( ~ rr(s(X0))
| p(X0)
| ~ rr(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c168) ).
fof(f169,negated_conjecture,
! [X0] :
( ~ r(s(X0))
| pp(X0)
| p(X0)
| rr(X0)
| r(X0)
| ~ q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c169) ).
fof(f170,negated_conjecture,
! [X0] :
( rr(s(X0))
| pp(X0)
| p(X0)
| rr(X0)
| r(X0)
| ~ q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c170) ).
fof(f171,negated_conjecture,
! [X0] :
( ~ r(s(X0))
| ~ pp(X0)
| p(X0)
| ~ rr(X0)
| r(X0)
| ~ q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c171) ).
fof(f172,negated_conjecture,
! [X0] :
( ~ rr(s(X0))
| ~ pp(X0)
| p(X0)
| ~ rr(X0)
| r(X0)
| ~ q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c172) ).
fof(f173,negated_conjecture,
! [X0] :
( r(s(X0))
| pp(X0)
| ~ p(X0)
| rr(X0)
| ~ r(X0)
| q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c173) ).
fof(f174,negated_conjecture,
! [X0] :
( rr(s(X0))
| pp(X0)
| ~ p(X0)
| rr(X0)
| ~ r(X0)
| q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c174) ).
fof(f175,negated_conjecture,
! [X0] :
( r(s(X0))
| ~ pp(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ r(X0)
| q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c175) ).
fof(f176,negated_conjecture,
! [X0] :
( ~ rr(s(X0))
| ~ pp(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ r(X0)
| q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c176) ).
fof(f177,negated_conjecture,
! [X0] :
( r(s(X0))
| p(X0)
| ~ rr(X0)
| ~ r(X0)
| qq(X0)
| ~ q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c177) ).
fof(f178,negated_conjecture,
! [X0] :
( rr(s(X0))
| p(X0)
| ~ rr(X0)
| ~ r(X0)
| qq(X0)
| ~ q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c178) ).
fof(f179,negated_conjecture,
! [X0] :
( ~ r(s(X0))
| pp(X0)
| p(X0)
| ~ rr(X0)
| r(X0)
| ~ q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c179) ).
fof(f180,negated_conjecture,
! [X0] :
( rr(s(X0))
| pp(X0)
| p(X0)
| ~ rr(X0)
| r(X0)
| ~ q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c180) ).
fof(f181,negated_conjecture,
! [X0] :
( r(s(X0))
| pp(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ r(X0)
| q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c181) ).
fof(f182,negated_conjecture,
! [X0] :
( rr(s(X0))
| pp(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ r(X0)
| q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c182) ).
fof(f183,negated_conjecture,
! [X0] :
( ~ r(s(X0))
| ~ p(X0)
| ~ rr(X0)
| r(X0)
| qq(X0)
| q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c183) ).
fof(f184,negated_conjecture,
! [X0] :
( rr(s(X0))
| ~ p(X0)
| ~ rr(X0)
| r(X0)
| qq(X0)
| q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c184) ).
fof(f185,negated_conjecture,
! [X0] :
( r(s(X0))
| ~ pp(X0)
| p(X0)
| rr(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c185) ).
fof(f186,negated_conjecture,
! [X0] :
( ~ rr(s(X0))
| ~ pp(X0)
| p(X0)
| rr(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c186) ).
fof(f187,negated_conjecture,
! [X0] :
( ~ r(s(X0))
| ~ pp(X0)
| p(X0)
| rr(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c187) ).
fof(f188,negated_conjecture,
! [X0] :
( ~ rr(s(X0))
| ~ pp(X0)
| p(X0)
| rr(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c188) ).
fof(f189,negated_conjecture,
! [X0] :
( r(s(X0))
| ~ pp(X0)
| ~ p(X0)
| rr(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c189) ).
fof(f190,negated_conjecture,
! [X0] :
( ~ rr(s(X0))
| ~ pp(X0)
| ~ p(X0)
| rr(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c190) ).
fof(f191,negated_conjecture,
! [X0] :
( ~ r(s(X0))
| ~ pp(X0)
| ~ p(X0)
| rr(X0)
| r(X0)
| ~ qq(X0)
| q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c191) ).
fof(f192,negated_conjecture,
! [X0] :
( ~ rr(s(X0))
| ~ pp(X0)
| ~ p(X0)
| rr(X0)
| r(X0)
| ~ qq(X0)
| q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c192) ).
fof(f193,negated_conjecture,
! [X0] :
( r(s(X0))
| pp(X0)
| ~ p(X0)
| rr(X0)
| r(X0)
| ~ qq(X0)
| q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c193) ).
fof(f194,negated_conjecture,
! [X0] :
( rr(s(X0))
| pp(X0)
| ~ p(X0)
| rr(X0)
| r(X0)
| ~ qq(X0)
| q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c194) ).
fof(f195,negated_conjecture,
! [X0] :
( qp(s(X0))
| pp(X0)
| ~ p(X0)
| rr(X0)
| r(X0)
| ~ qq(X0)
| q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c195) ).
fof(f196,negated_conjecture,
! [X0] :
( r(s(X0))
| ~ pp(X0)
| p(X0)
| rr(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c196) ).
fof(f197,negated_conjecture,
! [X0] :
( rr(s(X0))
| ~ pp(X0)
| p(X0)
| rr(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c197) ).
fof(f198,negated_conjecture,
! [X0] :
( ~ qp(s(X0))
| ~ pp(X0)
| p(X0)
| rr(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c198) ).
fof(f199,negated_conjecture,
! [X0] :
( ~ r(s(X0))
| pp(X0)
| p(X0)
| rr(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c199) ).
fof(f200,negated_conjecture,
! [X0] :
( rr(s(X0))
| pp(X0)
| p(X0)
| rr(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c200) ).
fof(f201,negated_conjecture,
! [X0] :
( qp(s(X0))
| pp(X0)
| p(X0)
| rr(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c201) ).
fof(f202,negated_conjecture,
! [X0] :
( ~ r(s(X0))
| ~ pp(X0)
| ~ p(X0)
| rr(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c202) ).
fof(f203,negated_conjecture,
! [X0] :
( rr(s(X0))
| ~ pp(X0)
| ~ p(X0)
| rr(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c203) ).
fof(f204,negated_conjecture,
! [X0] :
( ~ qp(s(X0))
| ~ pp(X0)
| ~ p(X0)
| rr(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c204) ).
fof(f205,negated_conjecture,
! [X0] :
( ~ r(s(X0))
| r(X0)
| ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c205) ).
fof(f206,negated_conjecture,
! [X0] :
( r(s(X0))
| ~ r(X0)
| ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c206) ).
fof(f207,negated_conjecture,
! [X0] :
( ~ rr(s(X0))
| rr(X0)
| ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c207) ).
fof(f208,negated_conjecture,
! [X0] :
( rr(s(X0))
| ~ rr(X0)
| ar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c208) ).
fof(f209,negated_conjecture,
! [X0] :
( qp(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0)
| qrp2(X0)
| qrp1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c209) ).
fof(f210,negated_conjecture,
! [X0] :
( ~ qp(s(X0))
| qp(X0)
| qrp4(X0)
| qrp3(X0)
| qrp2(X0)
| qrp1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c210) ).
fof(f211,negated_conjecture,
! [X0] :
( p(s(X0))
| q(X0)
| p(X0)
| r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c211) ).
fof(f212,negated_conjecture,
! [X0] :
( ~ pp(s(X0))
| q(X0)
| p(X0)
| r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c212) ).
fof(f213,negated_conjecture,
! [X0] :
( p(s(X0))
| q(X0)
| ~ p(X0)
| r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c213) ).
fof(f214,negated_conjecture,
! [X0] :
( ~ pp(s(X0))
| q(X0)
| ~ p(X0)
| r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c214) ).
fof(f215,negated_conjecture,
! [X0] :
( ~ p(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c215) ).
fof(f216,negated_conjecture,
! [X0] :
( ~ pp(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c216) ).
fof(f217,negated_conjecture,
! [X0] :
( ~ p(s(X0))
| ~ q(X0)
| p(X0)
| ~ r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c217) ).
fof(f218,negated_conjecture,
! [X0] :
( ~ pp(s(X0))
| ~ q(X0)
| p(X0)
| ~ r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c218) ).
fof(f219,negated_conjecture,
! [X0] :
( ~ p(s(X0))
| ~ q(X0)
| pp(X0)
| p(X0)
| rr(X0)
| r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c219) ).
fof(f220,negated_conjecture,
! [X0] :
( pp(s(X0))
| ~ q(X0)
| pp(X0)
| p(X0)
| rr(X0)
| r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c220) ).
fof(f221,negated_conjecture,
! [X0] :
( ~ p(s(X0))
| ~ q(X0)
| ~ pp(X0)
| p(X0)
| ~ rr(X0)
| r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c221) ).
fof(f222,negated_conjecture,
! [X0] :
( ~ pp(s(X0))
| ~ q(X0)
| ~ pp(X0)
| p(X0)
| ~ rr(X0)
| r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c222) ).
fof(f223,negated_conjecture,
! [X0] :
( p(s(X0))
| q(X0)
| pp(X0)
| ~ p(X0)
| rr(X0)
| ~ r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c223) ).
fof(f224,negated_conjecture,
! [X0] :
( pp(s(X0))
| q(X0)
| pp(X0)
| ~ p(X0)
| rr(X0)
| ~ r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c224) ).
fof(f225,negated_conjecture,
! [X0] :
( p(s(X0))
| q(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c225) ).
fof(f226,negated_conjecture,
! [X0] :
( ~ pp(s(X0))
| q(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c226) ).
fof(f227,negated_conjecture,
! [X0] :
( ~ p(s(X0))
| qq(X0)
| q(X0)
| pp(X0)
| p(X0)
| ~ r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c227) ).
fof(f228,negated_conjecture,
! [X0] :
( pp(s(X0))
| qq(X0)
| q(X0)
| pp(X0)
| p(X0)
| ~ r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c228) ).
fof(f229,negated_conjecture,
! [X0] :
( ~ p(s(X0))
| ~ qq(X0)
| q(X0)
| ~ pp(X0)
| p(X0)
| ~ r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c229) ).
fof(f230,negated_conjecture,
! [X0] :
( ~ pp(s(X0))
| ~ qq(X0)
| q(X0)
| ~ pp(X0)
| p(X0)
| ~ r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c230) ).
fof(f231,negated_conjecture,
! [X0] :
( p(s(X0))
| qq(X0)
| ~ q(X0)
| pp(X0)
| ~ p(X0)
| r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c231) ).
fof(f232,negated_conjecture,
! [X0] :
( pp(s(X0))
| qq(X0)
| ~ q(X0)
| pp(X0)
| ~ p(X0)
| r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c232) ).
fof(f233,negated_conjecture,
! [X0] :
( p(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ pp(X0)
| ~ p(X0)
| r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c233) ).
fof(f234,negated_conjecture,
! [X0] :
( ~ pp(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ pp(X0)
| ~ p(X0)
| r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c234) ).
fof(f235,negated_conjecture,
! [X0] :
( p(s(X0))
| q(X0)
| ~ pp(X0)
| ~ p(X0)
| rr(X0)
| ~ r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c235) ).
fof(f236,negated_conjecture,
! [X0] :
( pp(s(X0))
| q(X0)
| ~ pp(X0)
| ~ p(X0)
| rr(X0)
| ~ r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c236) ).
fof(f237,negated_conjecture,
! [X0] :
( ~ p(s(X0))
| qq(X0)
| q(X0)
| ~ pp(X0)
| p(X0)
| ~ r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c237) ).
fof(f238,negated_conjecture,
! [X0] :
( pp(s(X0))
| qq(X0)
| q(X0)
| ~ pp(X0)
| p(X0)
| ~ r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c238) ).
fof(f239,negated_conjecture,
! [X0] :
( p(s(X0))
| qq(X0)
| ~ q(X0)
| ~ pp(X0)
| ~ p(X0)
| r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c239) ).
fof(f240,negated_conjecture,
! [X0] :
( pp(s(X0))
| qq(X0)
| ~ q(X0)
| ~ pp(X0)
| ~ p(X0)
| r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c240) ).
fof(f241,negated_conjecture,
! [X0] :
( ~ p(s(X0))
| ~ q(X0)
| ~ pp(X0)
| p(X0)
| rr(X0)
| r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c241) ).
fof(f242,negated_conjecture,
! [X0] :
( pp(s(X0))
| ~ q(X0)
| ~ pp(X0)
| p(X0)
| rr(X0)
| r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c242) ).
fof(f243,negated_conjecture,
! [X0] :
( p(s(X0))
| ~ qq(X0)
| q(X0)
| pp(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c243) ).
fof(f244,negated_conjecture,
! [X0] :
( ~ pp(s(X0))
| ~ qq(X0)
| q(X0)
| pp(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c244) ).
fof(f245,negated_conjecture,
! [X0] :
( ~ p(s(X0))
| ~ qq(X0)
| q(X0)
| pp(X0)
| p(X0)
| ~ rr(X0)
| ~ r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c245) ).
fof(f246,negated_conjecture,
! [X0] :
( ~ pp(s(X0))
| ~ qq(X0)
| q(X0)
| pp(X0)
| p(X0)
| ~ rr(X0)
| ~ r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c246) ).
fof(f247,negated_conjecture,
! [X0] :
( p(s(X0))
| ~ qq(X0)
| ~ q(X0)
| pp(X0)
| ~ p(X0)
| ~ rr(X0)
| r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c247) ).
fof(f248,negated_conjecture,
! [X0] :
( ~ pp(s(X0))
| ~ qq(X0)
| ~ q(X0)
| pp(X0)
| ~ p(X0)
| ~ rr(X0)
| r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c248) ).
fof(f249,negated_conjecture,
! [X0] :
( ~ p(s(X0))
| ~ qq(X0)
| ~ q(X0)
| pp(X0)
| p(X0)
| ~ rr(X0)
| r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c249) ).
fof(f250,negated_conjecture,
! [X0] :
( ~ pp(s(X0))
| ~ qq(X0)
| ~ q(X0)
| pp(X0)
| p(X0)
| ~ rr(X0)
| r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c250) ).
fof(f251,negated_conjecture,
! [X0] :
( p(s(X0))
| qq(X0)
| ~ q(X0)
| pp(X0)
| p(X0)
| ~ rr(X0)
| r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c251) ).
fof(f252,negated_conjecture,
! [X0] :
( pp(s(X0))
| qq(X0)
| ~ q(X0)
| pp(X0)
| p(X0)
| ~ rr(X0)
| r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c252) ).
fof(f253,negated_conjecture,
! [X0] :
( rq(s(X0))
| qq(X0)
| ~ q(X0)
| pp(X0)
| p(X0)
| ~ rr(X0)
| r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c253) ).
fof(f254,negated_conjecture,
! [X0] :
( p(s(X0))
| ~ qq(X0)
| q(X0)
| pp(X0)
| p(X0)
| rr(X0)
| ~ r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c254) ).
fof(f255,negated_conjecture,
! [X0] :
( pp(s(X0))
| ~ qq(X0)
| q(X0)
| pp(X0)
| p(X0)
| rr(X0)
| ~ r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c255) ).
fof(f256,negated_conjecture,
! [X0] :
( ~ rq(s(X0))
| ~ qq(X0)
| q(X0)
| pp(X0)
| p(X0)
| rr(X0)
| ~ r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c256) ).
fof(f257,negated_conjecture,
! [X0] :
( ~ p(s(X0))
| qq(X0)
| q(X0)
| pp(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c257) ).
fof(f258,negated_conjecture,
! [X0] :
( pp(s(X0))
| qq(X0)
| q(X0)
| pp(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c258) ).
fof(f259,negated_conjecture,
! [X0] :
( rq(s(X0))
| qq(X0)
| q(X0)
| pp(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c259) ).
fof(f260,negated_conjecture,
! [X0] :
( ~ p(s(X0))
| ~ qq(X0)
| ~ q(X0)
| pp(X0)
| ~ p(X0)
| rr(X0)
| r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c260) ).
fof(f261,negated_conjecture,
! [X0] :
( pp(s(X0))
| ~ qq(X0)
| ~ q(X0)
| pp(X0)
| ~ p(X0)
| rr(X0)
| r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c261) ).
fof(f262,negated_conjecture,
! [X0] :
( ~ rq(s(X0))
| ~ qq(X0)
| ~ q(X0)
| pp(X0)
| ~ p(X0)
| rr(X0)
| r(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c262) ).
fof(f263,negated_conjecture,
! [X0] :
( ~ p(s(X0))
| p(X0)
| ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c263) ).
fof(f264,negated_conjecture,
! [X0] :
( p(s(X0))
| ~ p(X0)
| ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c264) ).
fof(f265,negated_conjecture,
! [X0] :
( ~ pp(s(X0))
| pp(X0)
| ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c265) ).
fof(f266,negated_conjecture,
! [X0] :
( pp(s(X0))
| ~ pp(X0)
| ap(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c266) ).
fof(f267,negated_conjecture,
! [X0] :
( rq(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0)
| rpq2(X0)
| rpq1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c267) ).
fof(f268,negated_conjecture,
! [X0] :
( ~ rq(s(X0))
| rq(X0)
| rpq4(X0)
| rpq3(X0)
| rpq2(X0)
| rpq1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c268) ).
tcf(c_317,negated_conjecture,
ap(a),
inference(cnf_transformation,[],[f1]) ).
tcf(c_318,negated_conjecture,
! [X0: $i] :
( ~ aq(X0)
| ~ ap(X0) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_319,negated_conjecture,
! [X0: $i] :
( ~ ar(X0)
| ~ ap(X0) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_320,negated_conjecture,
! [X0: $i] :
( ~ ar(X0)
| ~ aq(X0) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_321,negated_conjecture,
! [X0: $i] :
( ar(X0)
| aq(X0)
| ap(X0) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_322,negated_conjecture,
! [X0: $i] :
( ~ p(X0)
| ~ pqr1(X0) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_323,negated_conjecture,
! [X0: $i] :
( pp(X0)
| ~ pqr1(X0) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_324,negated_conjecture,
! [X0: $i] :
( ~ q(X0)
| ~ pqr1(X0) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_325,negated_conjecture,
! [X0: $i] :
( ~ qq(X0)
| ~ pqr1(X0) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_326,negated_conjecture,
! [X0: $i] :
( r(X0)
| ~ pqr1(X0) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_327,negated_conjecture,
! [X0: $i] :
( ~ rr(X0)
| ~ pqr1(X0) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_328,negated_conjecture,
! [X0: $i] :
( aq(X0)
| ~ pqr1(X0) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_329,negated_conjecture,
! [X0: $i] :
( p(X0)
| ~ pqr2(X0) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_330,negated_conjecture,
! [X0: $i] :
( pp(X0)
| ~ pqr2(X0) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_331,negated_conjecture,
! [X0: $i] :
( q(X0)
| ~ pqr2(X0) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_332,negated_conjecture,
! [X0: $i] :
( ~ pqr2(X0)
| ~ qq(X0) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_333,negated_conjecture,
! [X0: $i] :
( ~ pqr2(X0)
| ~ r(X0) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_334,negated_conjecture,
! [X0: $i] :
( ~ pqr2(X0)
| ~ rr(X0) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_335,negated_conjecture,
! [X0: $i] :
( aq(X0)
| ~ pqr2(X0) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_336,negated_conjecture,
! [X0: $i] :
( p(X0)
| ~ pqr3(X0) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_337,negated_conjecture,
! [X0: $i] :
( ~ pqr3(X0)
| ~ pp(X0) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_338,negated_conjecture,
! [X0: $i] :
( ~ pqr3(X0)
| ~ q(X0) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_339,negated_conjecture,
! [X0: $i] :
( ~ pqr3(X0)
| ~ qq(X0) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_340,negated_conjecture,
! [X0: $i] :
( ~ pqr3(X0)
| ~ r(X0) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_341,negated_conjecture,
! [X0: $i] :
( rr(X0)
| ~ pqr3(X0) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_342,negated_conjecture,
! [X0: $i] :
( aq(X0)
| ~ pqr3(X0) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_343,negated_conjecture,
! [X0: $i] :
( ~ pqr4(X0)
| ~ p(X0) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_344,negated_conjecture,
! [X0: $i] :
( ~ pqr4(X0)
| ~ pp(X0) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_345,negated_conjecture,
! [X0: $i] :
( q(X0)
| ~ pqr4(X0) ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_346,negated_conjecture,
! [X0: $i] :
( ~ pqr4(X0)
| ~ qq(X0) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_347,negated_conjecture,
! [X0: $i] :
( r(X0)
| ~ pqr4(X0) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_348,negated_conjecture,
! [X0: $i] :
( rr(X0)
| ~ pqr4(X0) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_349,negated_conjecture,
! [X0: $i] :
( aq(X0)
| ~ pqr4(X0) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_350,negated_conjecture,
! [X0: $i] :
( ~ qrp1(X0)
| ~ q(X0) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_351,negated_conjecture,
! [X0: $i] :
( qq(X0)
| ~ qrp1(X0) ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_352,negated_conjecture,
! [X0: $i] :
( ~ qrp1(X0)
| ~ r(X0) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_353,negated_conjecture,
! [X0: $i] :
( ~ qrp1(X0)
| ~ rr(X0) ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_354,negated_conjecture,
! [X0: $i] :
( p(X0)
| ~ qrp1(X0) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_355,negated_conjecture,
! [X0: $i] :
( ~ qrp1(X0)
| ~ pp(X0) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_356,negated_conjecture,
! [X0: $i] :
( ar(X0)
| ~ qrp1(X0) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_357,negated_conjecture,
! [X0: $i] :
( q(X0)
| ~ qrp2(X0) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_358,negated_conjecture,
! [X0: $i] :
( qq(X0)
| ~ qrp2(X0) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_359,negated_conjecture,
! [X0: $i] :
( r(X0)
| ~ qrp2(X0) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_360,negated_conjecture,
! [X0: $i] :
( ~ qrp2(X0)
| ~ rr(X0) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_361,negated_conjecture,
! [X0: $i] :
( ~ qrp2(X0)
| ~ p(X0) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_362,negated_conjecture,
! [X0: $i] :
( ~ qrp2(X0)
| ~ pp(X0) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_363,negated_conjecture,
! [X0: $i] :
( ar(X0)
| ~ qrp2(X0) ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_364,negated_conjecture,
! [X0: $i] :
( q(X0)
| ~ qrp3(X0) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_365,negated_conjecture,
! [X0: $i] :
( ~ qrp3(X0)
| ~ qq(X0) ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_366,negated_conjecture,
! [X0: $i] :
( ~ qrp3(X0)
| ~ r(X0) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_367,negated_conjecture,
! [X0: $i] :
( ~ qrp3(X0)
| ~ rr(X0) ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_368,negated_conjecture,
! [X0: $i] :
( ~ qrp3(X0)
| ~ p(X0) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_369,negated_conjecture,
! [X0: $i] :
( pp(X0)
| ~ qrp3(X0) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_370,negated_conjecture,
! [X0: $i] :
( ar(X0)
| ~ qrp3(X0) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_371,negated_conjecture,
! [X0: $i] :
( ~ qrp4(X0)
| ~ q(X0) ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_372,negated_conjecture,
! [X0: $i] :
( ~ qrp4(X0)
| ~ qq(X0) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_373,negated_conjecture,
! [X0: $i] :
( r(X0)
| ~ qrp4(X0) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_374,negated_conjecture,
! [X0: $i] :
( ~ qrp4(X0)
| ~ rr(X0) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_375,negated_conjecture,
! [X0: $i] :
( p(X0)
| ~ qrp4(X0) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_376,negated_conjecture,
! [X0: $i] :
( pp(X0)
| ~ qrp4(X0) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_377,negated_conjecture,
! [X0: $i] :
( ar(X0)
| ~ qrp4(X0) ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_378,negated_conjecture,
! [X0: $i] :
( ~ rpq1(X0)
| ~ r(X0) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_379,negated_conjecture,
! [X0: $i] :
( rr(X0)
| ~ rpq1(X0) ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_380,negated_conjecture,
! [X0: $i] :
( ~ rpq1(X0)
| ~ p(X0) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_381,negated_conjecture,
! [X0: $i] :
( ~ rpq1(X0)
| ~ pp(X0) ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_382,negated_conjecture,
! [X0: $i] :
( q(X0)
| ~ rpq1(X0) ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_383,negated_conjecture,
! [X0: $i] :
( ~ rpq1(X0)
| ~ qq(X0) ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_384,negated_conjecture,
! [X0: $i] :
( ap(X0)
| ~ rpq1(X0) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_385,negated_conjecture,
! [X0: $i] :
( r(X0)
| ~ rpq2(X0) ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_386,negated_conjecture,
! [X0: $i] :
( rr(X0)
| ~ rpq2(X0) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_387,negated_conjecture,
! [X0: $i] :
( p(X0)
| ~ rpq2(X0) ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_388,negated_conjecture,
! [X0: $i] :
( ~ rpq2(X0)
| ~ pp(X0) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_389,negated_conjecture,
! [X0: $i] :
( ~ rpq2(X0)
| ~ q(X0) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_390,negated_conjecture,
! [X0: $i] :
( ~ rpq2(X0)
| ~ qq(X0) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_391,negated_conjecture,
! [X0: $i] :
( ap(X0)
| ~ rpq2(X0) ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_392,negated_conjecture,
! [X0: $i] :
( r(X0)
| ~ rpq3(X0) ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_393,negated_conjecture,
! [X0: $i] :
( ~ rpq3(X0)
| ~ rr(X0) ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_394,negated_conjecture,
! [X0: $i] :
( ~ rpq3(X0)
| ~ p(X0) ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_395,negated_conjecture,
! [X0: $i] :
( ~ rpq3(X0)
| ~ pp(X0) ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_396,negated_conjecture,
! [X0: $i] :
( ~ rpq3(X0)
| ~ q(X0) ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_397,negated_conjecture,
! [X0: $i] :
( qq(X0)
| ~ rpq3(X0) ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_398,negated_conjecture,
! [X0: $i] :
( ap(X0)
| ~ rpq3(X0) ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_399,negated_conjecture,
! [X0: $i] :
( ~ rpq4(X0)
| ~ r(X0) ),
inference(cnf_transformation,[],[f83]) ).
tcf(c_400,negated_conjecture,
! [X0: $i] :
( ~ rpq4(X0)
| ~ rr(X0) ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_401,negated_conjecture,
! [X0: $i] :
( p(X0)
| ~ rpq4(X0) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_402,negated_conjecture,
! [X0: $i] :
( ~ rpq4(X0)
| ~ pp(X0) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_403,negated_conjecture,
! [X0: $i] :
( q(X0)
| ~ rpq4(X0) ),
inference(cnf_transformation,[],[f87]) ).
tcf(c_404,negated_conjecture,
! [X0: $i] :
( qq(X0)
| ~ rpq4(X0) ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_405,negated_conjecture,
! [X0: $i] :
( ap(X0)
| ~ rpq4(X0) ),
inference(cnf_transformation,[],[f89]) ).
tcf(c_406,negated_conjecture,
! [X0: $i] :
( ~ pr(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(cnf_transformation,[],[f90]) ).
tcf(c_407,negated_conjecture,
! [X0: $i] :
( pr(X0)
| rq(X0)
| qp(X0) ),
inference(cnf_transformation,[],[f91]) ).
tcf(c_408,negated_conjecture,
! [X0: $i] :
( aq(s(X0))
| ~ ap(X0) ),
inference(cnf_transformation,[],[f92]) ).
tcf(c_409,negated_conjecture,
! [X0: $i] :
( ar(s(X0))
| ~ aq(X0) ),
inference(cnf_transformation,[],[f93]) ).
tcf(c_410,negated_conjecture,
! [X0: $i] :
( ap(s(X0))
| ~ ar(X0) ),
inference(cnf_transformation,[],[f94]) ).
tcf(c_411,negated_conjecture,
! [X0: $i] :
( r(X0)
| q(X0)
| p(X0)
| q(s(X0))
| ~ aq(X0) ),
inference(cnf_transformation,[],[f95]) ).
tcf(c_412,negated_conjecture,
! [X0: $i] :
( r(X0)
| q(X0)
| p(X0)
| ~ aq(X0)
| ~ qq(s(X0)) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_413,negated_conjecture,
! [X0: $i] :
( r(X0)
| p(X0)
| q(s(X0))
| ~ q(X0)
| ~ aq(X0) ),
inference(cnf_transformation,[],[f97]) ).
tcf(c_414,negated_conjecture,
! [X0: $i] :
( r(X0)
| p(X0)
| ~ q(X0)
| ~ aq(X0)
| ~ qq(s(X0)) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_415,negated_conjecture,
! [X0: $i] :
( ~ r(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ q(s(X0)) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_416,negated_conjecture,
! [X0: $i] :
( ~ r(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ qq(s(X0)) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_417,negated_conjecture,
! [X0: $i] :
( q(X0)
| ~ r(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ q(s(X0)) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_418,negated_conjecture,
! [X0: $i] :
( q(X0)
| ~ r(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ qq(s(X0)) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_419,negated_conjecture,
! [X0: $i] :
( qq(X0)
| q(X0)
| pp(X0)
| p(X0)
| ~ r(X0)
| ~ aq(X0)
| ~ q(s(X0)) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_420,negated_conjecture,
! [X0: $i] :
( qq(X0)
| q(X0)
| pp(X0)
| p(X0)
| qq(s(X0))
| ~ r(X0)
| ~ aq(X0) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_421,negated_conjecture,
! [X0: $i] :
( q(X0)
| p(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ pp(X0)
| ~ aq(X0)
| ~ q(s(X0)) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_422,negated_conjecture,
! [X0: $i] :
( q(X0)
| p(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ pp(X0)
| ~ aq(X0)
| ~ qq(s(X0)) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_423,negated_conjecture,
! [X0: $i] :
( r(X0)
| qq(X0)
| pp(X0)
| q(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_424,negated_conjecture,
! [X0: $i] :
( r(X0)
| qq(X0)
| pp(X0)
| qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_425,negated_conjecture,
! [X0: $i] :
( r(X0)
| q(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(cnf_transformation,[],[f109]) ).
tcf(c_426,negated_conjecture,
! [X0: $i] :
( r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ qq(s(X0)) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_427,negated_conjecture,
! [X0: $i] :
( rr(X0)
| r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ q(s(X0)) ),
inference(cnf_transformation,[],[f111]) ).
tcf(c_428,negated_conjecture,
! [X0: $i] :
( rr(X0)
| r(X0)
| qq(X0)
| q(X0)
| qq(s(X0))
| ~ p(X0)
| ~ aq(X0) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_429,negated_conjecture,
! [X0: $i] :
( r(X0)
| q(X0)
| ~ rr(X0)
| ~ qq(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ q(s(X0)) ),
inference(cnf_transformation,[],[f113]) ).
tcf(c_430,negated_conjecture,
! [X0: $i] :
( r(X0)
| q(X0)
| ~ rr(X0)
| ~ qq(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ qq(s(X0)) ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_431,negated_conjecture,
! [X0: $i] :
( rr(X0)
| qq(X0)
| p(X0)
| q(s(X0))
| ~ r(X0)
| ~ q(X0)
| ~ aq(X0) ),
inference(cnf_transformation,[],[f115]) ).
tcf(c_432,negated_conjecture,
! [X0: $i] :
( rr(X0)
| qq(X0)
| p(X0)
| qq(s(X0))
| ~ r(X0)
| ~ q(X0)
| ~ aq(X0) ),
inference(cnf_transformation,[],[f116]) ).
tcf(c_433,negated_conjecture,
! [X0: $i] :
( p(X0)
| q(s(X0))
| ~ rr(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ aq(X0) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_434,negated_conjecture,
! [X0: $i] :
( p(X0)
| ~ rr(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ aq(X0)
| ~ qq(s(X0)) ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_435,negated_conjecture,
! [X0: $i] :
( r(X0)
| pp(X0)
| q(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(cnf_transformation,[],[f119]) ).
tcf(c_436,negated_conjecture,
! [X0: $i] :
( r(X0)
| pp(X0)
| qq(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(cnf_transformation,[],[f120]) ).
tcf(c_437,negated_conjecture,
! [X0: $i] :
( rr(X0)
| r(X0)
| q(X0)
| ~ qq(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ q(s(X0)) ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_438,negated_conjecture,
! [X0: $i] :
( rr(X0)
| r(X0)
| q(X0)
| qq(s(X0))
| ~ qq(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_439,negated_conjecture,
! [X0: $i] :
( rr(X0)
| p(X0)
| q(s(X0))
| ~ r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ aq(X0) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_440,negated_conjecture,
! [X0: $i] :
( rr(X0)
| p(X0)
| qq(s(X0))
| ~ r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ aq(X0) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_441,negated_conjecture,
! [X0: $i] :
( q(X0)
| pp(X0)
| p(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ aq(X0)
| ~ q(s(X0)) ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_442,negated_conjecture,
! [X0: $i] :
( q(X0)
| pp(X0)
| p(X0)
| qq(s(X0))
| ~ r(X0)
| ~ qq(X0)
| ~ aq(X0) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_443,negated_conjecture,
! [X0: $i] :
( r(X0)
| qq(X0)
| q(s(X0))
| ~ rr(X0)
| ~ q(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_444,negated_conjecture,
! [X0: $i] :
( r(X0)
| qq(X0)
| ~ rr(X0)
| ~ q(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ qq(s(X0)) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_445,negated_conjecture,
! [X0: $i] :
( r(X0)
| qq(X0)
| q(X0)
| ~ rr(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ q(s(X0)) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_446,negated_conjecture,
! [X0: $i] :
( r(X0)
| qq(X0)
| q(X0)
| ~ rr(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ qq(s(X0)) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_447,negated_conjecture,
! [X0: $i] :
( qq(X0)
| p(X0)
| q(s(X0))
| ~ rr(X0)
| ~ r(X0)
| ~ q(X0)
| ~ pp(X0)
| ~ aq(X0) ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_448,negated_conjecture,
! [X0: $i] :
( qq(X0)
| p(X0)
| ~ rr(X0)
| ~ r(X0)
| ~ q(X0)
| ~ pp(X0)
| ~ aq(X0)
| ~ qq(s(X0)) ),
inference(cnf_transformation,[],[f132]) ).
tcf(c_449,negated_conjecture,
! [X0: $i] :
( qq(X0)
| q(X0)
| p(X0)
| ~ rr(X0)
| ~ r(X0)
| ~ pp(X0)
| ~ aq(X0)
| ~ q(s(X0)) ),
inference(cnf_transformation,[],[f133]) ).
tcf(c_450,negated_conjecture,
! [X0: $i] :
( qq(X0)
| q(X0)
| p(X0)
| ~ rr(X0)
| ~ r(X0)
| ~ pp(X0)
| ~ aq(X0)
| ~ qq(s(X0)) ),
inference(cnf_transformation,[],[f134]) ).
tcf(c_451,negated_conjecture,
! [X0: $i] :
( rr(X0)
| qq(X0)
| q(X0)
| p(X0)
| q(s(X0))
| ~ r(X0)
| ~ pp(X0)
| ~ aq(X0) ),
inference(cnf_transformation,[],[f135]) ).
tcf(c_452,negated_conjecture,
! [X0: $i] :
( rr(X0)
| qq(X0)
| q(X0)
| p(X0)
| qq(s(X0))
| ~ r(X0)
| ~ pp(X0)
| ~ aq(X0) ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_453,negated_conjecture,
! [X0: $i] :
( rr(X0)
| qq(X0)
| q(X0)
| p(X0)
| pr(s(X0))
| ~ r(X0)
| ~ pp(X0)
| ~ aq(X0) ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_454,negated_conjecture,
! [X0: $i] :
( r(X0)
| qq(X0)
| q(X0)
| pp(X0)
| q(s(X0))
| ~ rr(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_455,negated_conjecture,
! [X0: $i] :
( r(X0)
| qq(X0)
| q(X0)
| pp(X0)
| qq(s(X0))
| ~ rr(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_456,negated_conjecture,
! [X0: $i] :
( r(X0)
| qq(X0)
| q(X0)
| pp(X0)
| ~ rr(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ pr(s(X0)) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_457,negated_conjecture,
! [X0: $i] :
( rr(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ q(s(X0)) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_458,negated_conjecture,
! [X0: $i] :
( rr(X0)
| r(X0)
| qq(X0)
| qq(s(X0))
| ~ q(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_459,negated_conjecture,
! [X0: $i] :
( rr(X0)
| r(X0)
| qq(X0)
| pr(s(X0))
| ~ q(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_460,negated_conjecture,
! [X0: $i] :
( qq(X0)
| pp(X0)
| p(X0)
| ~ rr(X0)
| ~ r(X0)
| ~ q(X0)
| ~ aq(X0)
| ~ q(s(X0)) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_461,negated_conjecture,
! [X0: $i] :
( qq(X0)
| pp(X0)
| p(X0)
| qq(s(X0))
| ~ rr(X0)
| ~ r(X0)
| ~ q(X0)
| ~ aq(X0) ),
inference(cnf_transformation,[],[f145]) ).
tcf(c_462,negated_conjecture,
! [X0: $i] :
( qq(X0)
| pp(X0)
| p(X0)
| ~ rr(X0)
| ~ r(X0)
| ~ q(X0)
| ~ aq(X0)
| ~ pr(s(X0)) ),
inference(cnf_transformation,[],[f146]) ).
tcf(c_463,negated_conjecture,
! [X0: $i] :
( q(X0)
| aq(X0)
| ~ q(s(X0)) ),
inference(cnf_transformation,[],[f147]) ).
tcf(c_464,negated_conjecture,
! [X0: $i] :
( aq(X0)
| q(s(X0))
| ~ q(X0) ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_465,negated_conjecture,
! [X0: $i] :
( qq(X0)
| aq(X0)
| ~ qq(s(X0)) ),
inference(cnf_transformation,[],[f149]) ).
tcf(c_466,negated_conjecture,
! [X0: $i] :
( aq(X0)
| qq(s(X0))
| ~ qq(X0) ),
inference(cnf_transformation,[],[f150]) ).
tcf(c_467,negated_conjecture,
! [X0: $i] :
( pqr4(X0)
| pqr3(X0)
| pqr2(X0)
| pqr1(X0)
| pr(s(X0))
| ~ pr(X0) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_468,negated_conjecture,
! [X0: $i] :
( pr(X0)
| pqr4(X0)
| pqr3(X0)
| pqr2(X0)
| pqr1(X0)
| ~ pr(s(X0)) ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_469,negated_conjecture,
! [X0: $i] :
( r(X0)
| q(X0)
| p(X0)
| r(s(X0))
| ~ ar(X0) ),
inference(cnf_transformation,[],[f153]) ).
tcf(c_470,negated_conjecture,
! [X0: $i] :
( r(X0)
| q(X0)
| p(X0)
| ~ ar(X0)
| ~ rr(s(X0)) ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_471,negated_conjecture,
! [X0: $i] :
( q(X0)
| p(X0)
| r(s(X0))
| ~ r(X0)
| ~ ar(X0) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_472,negated_conjecture,
! [X0: $i] :
( q(X0)
| p(X0)
| ~ r(X0)
| ~ ar(X0)
| ~ rr(s(X0)) ),
inference(cnf_transformation,[],[f156]) ).
tcf(c_473,negated_conjecture,
! [X0: $i] :
( ~ r(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ r(s(X0)) ),
inference(cnf_transformation,[],[f157]) ).
tcf(c_474,negated_conjecture,
! [X0: $i] :
( ~ r(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rr(s(X0)) ),
inference(cnf_transformation,[],[f158]) ).
tcf(c_475,negated_conjecture,
! [X0: $i] :
( r(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ r(s(X0)) ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_476,negated_conjecture,
! [X0: $i] :
( r(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rr(s(X0)) ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_477,negated_conjecture,
! [X0: $i] :
( rr(X0)
| r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ r(s(X0)) ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_478,negated_conjecture,
! [X0: $i] :
( rr(X0)
| r(X0)
| qq(X0)
| q(X0)
| rr(s(X0))
| ~ p(X0)
| ~ ar(X0) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_479,negated_conjecture,
! [X0: $i] :
( r(X0)
| q(X0)
| ~ rr(X0)
| ~ qq(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ r(s(X0)) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_480,negated_conjecture,
! [X0: $i] :
( r(X0)
| q(X0)
| ~ rr(X0)
| ~ qq(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rr(s(X0)) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_481,negated_conjecture,
! [X0: $i] :
( rr(X0)
| qq(X0)
| p(X0)
| r(s(X0))
| ~ r(X0)
| ~ q(X0)
| ~ ar(X0) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_482,negated_conjecture,
! [X0: $i] :
( rr(X0)
| qq(X0)
| p(X0)
| rr(s(X0))
| ~ r(X0)
| ~ q(X0)
| ~ ar(X0) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_483,negated_conjecture,
! [X0: $i] :
( p(X0)
| r(s(X0))
| ~ rr(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ ar(X0) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_484,negated_conjecture,
! [X0: $i] :
( p(X0)
| ~ rr(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ ar(X0)
| ~ rr(s(X0)) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_485,negated_conjecture,
! [X0: $i] :
( rr(X0)
| r(X0)
| pp(X0)
| p(X0)
| ~ q(X0)
| ~ ar(X0)
| ~ r(s(X0)) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_486,negated_conjecture,
! [X0: $i] :
( rr(X0)
| r(X0)
| pp(X0)
| p(X0)
| rr(s(X0))
| ~ q(X0)
| ~ ar(X0) ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_487,negated_conjecture,
! [X0: $i] :
( r(X0)
| p(X0)
| ~ rr(X0)
| ~ q(X0)
| ~ pp(X0)
| ~ ar(X0)
| ~ r(s(X0)) ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_488,negated_conjecture,
! [X0: $i] :
( r(X0)
| p(X0)
| ~ rr(X0)
| ~ q(X0)
| ~ pp(X0)
| ~ ar(X0)
| ~ rr(s(X0)) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_489,negated_conjecture,
! [X0: $i] :
( rr(X0)
| q(X0)
| pp(X0)
| r(s(X0))
| ~ r(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_490,negated_conjecture,
! [X0: $i] :
( rr(X0)
| q(X0)
| pp(X0)
| rr(s(X0))
| ~ r(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_491,negated_conjecture,
! [X0: $i] :
( q(X0)
| r(s(X0))
| ~ rr(X0)
| ~ r(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_492,negated_conjecture,
! [X0: $i] :
( q(X0)
| ~ rr(X0)
| ~ r(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rr(s(X0)) ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_493,negated_conjecture,
! [X0: $i] :
( qq(X0)
| p(X0)
| r(s(X0))
| ~ rr(X0)
| ~ r(X0)
| ~ q(X0)
| ~ ar(X0) ),
inference(cnf_transformation,[],[f177]) ).
tcf(c_494,negated_conjecture,
! [X0: $i] :
( qq(X0)
| p(X0)
| rr(s(X0))
| ~ rr(X0)
| ~ r(X0)
| ~ q(X0)
| ~ ar(X0) ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_495,negated_conjecture,
! [X0: $i] :
( r(X0)
| pp(X0)
| p(X0)
| ~ rr(X0)
| ~ q(X0)
| ~ ar(X0)
| ~ r(s(X0)) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_496,negated_conjecture,
! [X0: $i] :
( r(X0)
| pp(X0)
| p(X0)
| rr(s(X0))
| ~ rr(X0)
| ~ q(X0)
| ~ ar(X0) ),
inference(cnf_transformation,[],[f180]) ).
tcf(c_497,negated_conjecture,
! [X0: $i] :
( q(X0)
| pp(X0)
| r(s(X0))
| ~ rr(X0)
| ~ r(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_498,negated_conjecture,
! [X0: $i] :
( q(X0)
| pp(X0)
| rr(s(X0))
| ~ rr(X0)
| ~ r(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_499,negated_conjecture,
! [X0: $i] :
( r(X0)
| qq(X0)
| q(X0)
| ~ rr(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ r(s(X0)) ),
inference(cnf_transformation,[],[f183]) ).
tcf(c_500,negated_conjecture,
! [X0: $i] :
( r(X0)
| qq(X0)
| q(X0)
| rr(s(X0))
| ~ rr(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(cnf_transformation,[],[f184]) ).
tcf(c_501,negated_conjecture,
! [X0: $i] :
( rr(X0)
| p(X0)
| r(s(X0))
| ~ r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ pp(X0)
| ~ ar(X0) ),
inference(cnf_transformation,[],[f185]) ).
tcf(c_502,negated_conjecture,
! [X0: $i] :
( rr(X0)
| p(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ pp(X0)
| ~ ar(X0)
| ~ rr(s(X0)) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_503,negated_conjecture,
! [X0: $i] :
( rr(X0)
| r(X0)
| p(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ pp(X0)
| ~ ar(X0)
| ~ r(s(X0)) ),
inference(cnf_transformation,[],[f187]) ).
tcf(c_504,negated_conjecture,
! [X0: $i] :
( rr(X0)
| r(X0)
| p(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ pp(X0)
| ~ ar(X0)
| ~ rr(s(X0)) ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_505,negated_conjecture,
! [X0: $i] :
( rr(X0)
| q(X0)
| r(s(X0))
| ~ r(X0)
| ~ qq(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(cnf_transformation,[],[f189]) ).
tcf(c_506,negated_conjecture,
! [X0: $i] :
( rr(X0)
| q(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rr(s(X0)) ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_507,negated_conjecture,
! [X0: $i] :
( rr(X0)
| r(X0)
| q(X0)
| ~ qq(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ r(s(X0)) ),
inference(cnf_transformation,[],[f191]) ).
tcf(c_508,negated_conjecture,
! [X0: $i] :
( rr(X0)
| r(X0)
| q(X0)
| ~ qq(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rr(s(X0)) ),
inference(cnf_transformation,[],[f192]) ).
tcf(c_509,negated_conjecture,
! [X0: $i] :
( rr(X0)
| r(X0)
| q(X0)
| pp(X0)
| r(s(X0))
| ~ qq(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(cnf_transformation,[],[f193]) ).
tcf(c_510,negated_conjecture,
! [X0: $i] :
( rr(X0)
| r(X0)
| q(X0)
| pp(X0)
| rr(s(X0))
| ~ qq(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(cnf_transformation,[],[f194]) ).
tcf(c_511,negated_conjecture,
! [X0: $i] :
( rr(X0)
| r(X0)
| q(X0)
| pp(X0)
| qp(s(X0))
| ~ qq(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(cnf_transformation,[],[f195]) ).
tcf(c_512,negated_conjecture,
! [X0: $i] :
( rr(X0)
| r(X0)
| qq(X0)
| p(X0)
| r(s(X0))
| ~ q(X0)
| ~ pp(X0)
| ~ ar(X0) ),
inference(cnf_transformation,[],[f196]) ).
tcf(c_513,negated_conjecture,
! [X0: $i] :
( rr(X0)
| r(X0)
| qq(X0)
| p(X0)
| rr(s(X0))
| ~ q(X0)
| ~ pp(X0)
| ~ ar(X0) ),
inference(cnf_transformation,[],[f197]) ).
tcf(c_514,negated_conjecture,
! [X0: $i] :
( rr(X0)
| r(X0)
| qq(X0)
| p(X0)
| ~ q(X0)
| ~ pp(X0)
| ~ ar(X0)
| ~ qp(s(X0)) ),
inference(cnf_transformation,[],[f198]) ).
tcf(c_515,negated_conjecture,
! [X0: $i] :
( rr(X0)
| pp(X0)
| p(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ ar(X0)
| ~ r(s(X0)) ),
inference(cnf_transformation,[],[f199]) ).
tcf(c_516,negated_conjecture,
! [X0: $i] :
( rr(X0)
| pp(X0)
| p(X0)
| rr(s(X0))
| ~ r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ ar(X0) ),
inference(cnf_transformation,[],[f200]) ).
tcf(c_517,negated_conjecture,
! [X0: $i] :
( rr(X0)
| pp(X0)
| p(X0)
| qp(s(X0))
| ~ r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ ar(X0) ),
inference(cnf_transformation,[],[f201]) ).
tcf(c_518,negated_conjecture,
! [X0: $i] :
( rr(X0)
| qq(X0)
| q(X0)
| ~ r(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ r(s(X0)) ),
inference(cnf_transformation,[],[f202]) ).
tcf(c_519,negated_conjecture,
! [X0: $i] :
( rr(X0)
| qq(X0)
| q(X0)
| rr(s(X0))
| ~ r(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(cnf_transformation,[],[f203]) ).
tcf(c_520,negated_conjecture,
! [X0: $i] :
( rr(X0)
| qq(X0)
| q(X0)
| ~ r(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ qp(s(X0)) ),
inference(cnf_transformation,[],[f204]) ).
tcf(c_521,negated_conjecture,
! [X0: $i] :
( r(X0)
| ar(X0)
| ~ r(s(X0)) ),
inference(cnf_transformation,[],[f205]) ).
tcf(c_522,negated_conjecture,
! [X0: $i] :
( ar(X0)
| r(s(X0))
| ~ r(X0) ),
inference(cnf_transformation,[],[f206]) ).
tcf(c_523,negated_conjecture,
! [X0: $i] :
( rr(X0)
| ar(X0)
| ~ rr(s(X0)) ),
inference(cnf_transformation,[],[f207]) ).
tcf(c_524,negated_conjecture,
! [X0: $i] :
( ar(X0)
| rr(s(X0))
| ~ rr(X0) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_525,negated_conjecture,
! [X0: $i] :
( qrp4(X0)
| qrp3(X0)
| qrp2(X0)
| qrp1(X0)
| qp(s(X0))
| ~ qp(X0) ),
inference(cnf_transformation,[],[f209]) ).
tcf(c_526,negated_conjecture,
! [X0: $i] :
( qp(X0)
| qrp4(X0)
| qrp3(X0)
| qrp2(X0)
| qrp1(X0)
| ~ qp(s(X0)) ),
inference(cnf_transformation,[],[f210]) ).
tcf(c_527,negated_conjecture,
! [X0: $i] :
( r(X0)
| q(X0)
| p(X0)
| p(s(X0))
| ~ ap(X0) ),
inference(cnf_transformation,[],[f211]) ).
tcf(c_528,negated_conjecture,
! [X0: $i] :
( r(X0)
| q(X0)
| p(X0)
| ~ ap(X0)
| ~ pp(s(X0)) ),
inference(cnf_transformation,[],[f212]) ).
tcf(c_529,negated_conjecture,
! [X0: $i] :
( r(X0)
| q(X0)
| p(s(X0))
| ~ p(X0)
| ~ ap(X0) ),
inference(cnf_transformation,[],[f213]) ).
tcf(c_530,negated_conjecture,
! [X0: $i] :
( r(X0)
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| ~ pp(s(X0)) ),
inference(cnf_transformation,[],[f214]) ).
tcf(c_531,negated_conjecture,
! [X0: $i] :
( ~ r(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ap(X0)
| ~ p(s(X0)) ),
inference(cnf_transformation,[],[f215]) ).
tcf(c_532,negated_conjecture,
! [X0: $i] :
( ~ r(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ap(X0)
| ~ pp(s(X0)) ),
inference(cnf_transformation,[],[f216]) ).
tcf(c_533,negated_conjecture,
! [X0: $i] :
( p(X0)
| ~ r(X0)
| ~ q(X0)
| ~ ap(X0)
| ~ p(s(X0)) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_534,negated_conjecture,
! [X0: $i] :
( p(X0)
| ~ r(X0)
| ~ q(X0)
| ~ ap(X0)
| ~ pp(s(X0)) ),
inference(cnf_transformation,[],[f218]) ).
tcf(c_535,negated_conjecture,
! [X0: $i] :
( rr(X0)
| r(X0)
| pp(X0)
| p(X0)
| ~ q(X0)
| ~ ap(X0)
| ~ p(s(X0)) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_536,negated_conjecture,
! [X0: $i] :
( rr(X0)
| r(X0)
| pp(X0)
| p(X0)
| pp(s(X0))
| ~ q(X0)
| ~ ap(X0) ),
inference(cnf_transformation,[],[f220]) ).
tcf(c_537,negated_conjecture,
! [X0: $i] :
( r(X0)
| p(X0)
| ~ rr(X0)
| ~ q(X0)
| ~ pp(X0)
| ~ ap(X0)
| ~ p(s(X0)) ),
inference(cnf_transformation,[],[f221]) ).
tcf(c_538,negated_conjecture,
! [X0: $i] :
( r(X0)
| p(X0)
| ~ rr(X0)
| ~ q(X0)
| ~ pp(X0)
| ~ ap(X0)
| ~ pp(s(X0)) ),
inference(cnf_transformation,[],[f222]) ).
tcf(c_539,negated_conjecture,
! [X0: $i] :
( rr(X0)
| q(X0)
| pp(X0)
| p(s(X0))
| ~ r(X0)
| ~ p(X0)
| ~ ap(X0) ),
inference(cnf_transformation,[],[f223]) ).
tcf(c_540,negated_conjecture,
! [X0: $i] :
( rr(X0)
| q(X0)
| pp(X0)
| pp(s(X0))
| ~ r(X0)
| ~ p(X0)
| ~ ap(X0) ),
inference(cnf_transformation,[],[f224]) ).
tcf(c_541,negated_conjecture,
! [X0: $i] :
( q(X0)
| p(s(X0))
| ~ rr(X0)
| ~ r(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ ap(X0) ),
inference(cnf_transformation,[],[f225]) ).
tcf(c_542,negated_conjecture,
! [X0: $i] :
( q(X0)
| ~ rr(X0)
| ~ r(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ ap(X0)
| ~ pp(s(X0)) ),
inference(cnf_transformation,[],[f226]) ).
tcf(c_543,negated_conjecture,
! [X0: $i] :
( qq(X0)
| q(X0)
| pp(X0)
| p(X0)
| ~ r(X0)
| ~ ap(X0)
| ~ p(s(X0)) ),
inference(cnf_transformation,[],[f227]) ).
tcf(c_544,negated_conjecture,
! [X0: $i] :
( qq(X0)
| q(X0)
| pp(X0)
| p(X0)
| pp(s(X0))
| ~ r(X0)
| ~ ap(X0) ),
inference(cnf_transformation,[],[f228]) ).
tcf(c_545,negated_conjecture,
! [X0: $i] :
( q(X0)
| p(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ pp(X0)
| ~ ap(X0)
| ~ p(s(X0)) ),
inference(cnf_transformation,[],[f229]) ).
tcf(c_546,negated_conjecture,
! [X0: $i] :
( q(X0)
| p(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ pp(X0)
| ~ ap(X0)
| ~ pp(s(X0)) ),
inference(cnf_transformation,[],[f230]) ).
tcf(c_547,negated_conjecture,
! [X0: $i] :
( r(X0)
| qq(X0)
| pp(X0)
| p(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ap(X0) ),
inference(cnf_transformation,[],[f231]) ).
tcf(c_548,negated_conjecture,
! [X0: $i] :
( r(X0)
| qq(X0)
| pp(X0)
| pp(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ap(X0) ),
inference(cnf_transformation,[],[f232]) ).
tcf(c_549,negated_conjecture,
! [X0: $i] :
( r(X0)
| p(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ ap(X0) ),
inference(cnf_transformation,[],[f233]) ).
tcf(c_550,negated_conjecture,
! [X0: $i] :
( r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ ap(X0)
| ~ pp(s(X0)) ),
inference(cnf_transformation,[],[f234]) ).
tcf(c_551,negated_conjecture,
! [X0: $i] :
( rr(X0)
| q(X0)
| p(s(X0))
| ~ r(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ ap(X0) ),
inference(cnf_transformation,[],[f235]) ).
tcf(c_552,negated_conjecture,
! [X0: $i] :
( rr(X0)
| q(X0)
| pp(s(X0))
| ~ r(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ ap(X0) ),
inference(cnf_transformation,[],[f236]) ).
tcf(c_553,negated_conjecture,
! [X0: $i] :
( qq(X0)
| q(X0)
| p(X0)
| ~ r(X0)
| ~ pp(X0)
| ~ ap(X0)
| ~ p(s(X0)) ),
inference(cnf_transformation,[],[f237]) ).
tcf(c_554,negated_conjecture,
! [X0: $i] :
( qq(X0)
| q(X0)
| p(X0)
| pp(s(X0))
| ~ r(X0)
| ~ pp(X0)
| ~ ap(X0) ),
inference(cnf_transformation,[],[f238]) ).
tcf(c_555,negated_conjecture,
! [X0: $i] :
( r(X0)
| qq(X0)
| p(s(X0))
| ~ q(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ ap(X0) ),
inference(cnf_transformation,[],[f239]) ).
tcf(c_556,negated_conjecture,
! [X0: $i] :
( r(X0)
| qq(X0)
| pp(s(X0))
| ~ q(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ ap(X0) ),
inference(cnf_transformation,[],[f240]) ).
tcf(c_557,negated_conjecture,
! [X0: $i] :
( rr(X0)
| r(X0)
| p(X0)
| ~ q(X0)
| ~ pp(X0)
| ~ ap(X0)
| ~ p(s(X0)) ),
inference(cnf_transformation,[],[f241]) ).
tcf(c_558,negated_conjecture,
! [X0: $i] :
( rr(X0)
| r(X0)
| p(X0)
| pp(s(X0))
| ~ q(X0)
| ~ pp(X0)
| ~ ap(X0) ),
inference(cnf_transformation,[],[f242]) ).
tcf(c_559,negated_conjecture,
! [X0: $i] :
( q(X0)
| pp(X0)
| p(s(X0))
| ~ rr(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ p(X0)
| ~ ap(X0) ),
inference(cnf_transformation,[],[f243]) ).
tcf(c_560,negated_conjecture,
! [X0: $i] :
( q(X0)
| pp(X0)
| ~ rr(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ p(X0)
| ~ ap(X0)
| ~ pp(s(X0)) ),
inference(cnf_transformation,[],[f244]) ).
tcf(c_561,negated_conjecture,
! [X0: $i] :
( q(X0)
| pp(X0)
| p(X0)
| ~ rr(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ ap(X0)
| ~ p(s(X0)) ),
inference(cnf_transformation,[],[f245]) ).
tcf(c_562,negated_conjecture,
! [X0: $i] :
( q(X0)
| pp(X0)
| p(X0)
| ~ rr(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ ap(X0)
| ~ pp(s(X0)) ),
inference(cnf_transformation,[],[f246]) ).
tcf(c_563,negated_conjecture,
! [X0: $i] :
( r(X0)
| pp(X0)
| p(s(X0))
| ~ rr(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ap(X0) ),
inference(cnf_transformation,[],[f247]) ).
tcf(c_564,negated_conjecture,
! [X0: $i] :
( r(X0)
| pp(X0)
| ~ rr(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ap(X0)
| ~ pp(s(X0)) ),
inference(cnf_transformation,[],[f248]) ).
tcf(c_565,negated_conjecture,
! [X0: $i] :
( r(X0)
| pp(X0)
| p(X0)
| ~ rr(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ ap(X0)
| ~ p(s(X0)) ),
inference(cnf_transformation,[],[f249]) ).
tcf(c_566,negated_conjecture,
! [X0: $i] :
( r(X0)
| pp(X0)
| p(X0)
| ~ rr(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ ap(X0)
| ~ pp(s(X0)) ),
inference(cnf_transformation,[],[f250]) ).
tcf(c_567,negated_conjecture,
! [X0: $i] :
( r(X0)
| qq(X0)
| pp(X0)
| p(X0)
| p(s(X0))
| ~ rr(X0)
| ~ q(X0)
| ~ ap(X0) ),
inference(cnf_transformation,[],[f251]) ).
tcf(c_568,negated_conjecture,
! [X0: $i] :
( r(X0)
| qq(X0)
| pp(X0)
| p(X0)
| pp(s(X0))
| ~ rr(X0)
| ~ q(X0)
| ~ ap(X0) ),
inference(cnf_transformation,[],[f252]) ).
tcf(c_569,negated_conjecture,
! [X0: $i] :
( r(X0)
| qq(X0)
| pp(X0)
| p(X0)
| rq(s(X0))
| ~ rr(X0)
| ~ q(X0)
| ~ ap(X0) ),
inference(cnf_transformation,[],[f253]) ).
tcf(c_570,negated_conjecture,
! [X0: $i] :
( rr(X0)
| q(X0)
| pp(X0)
| p(X0)
| p(s(X0))
| ~ r(X0)
| ~ qq(X0)
| ~ ap(X0) ),
inference(cnf_transformation,[],[f254]) ).
tcf(c_571,negated_conjecture,
! [X0: $i] :
( rr(X0)
| q(X0)
| pp(X0)
| p(X0)
| pp(s(X0))
| ~ r(X0)
| ~ qq(X0)
| ~ ap(X0) ),
inference(cnf_transformation,[],[f255]) ).
tcf(c_572,negated_conjecture,
! [X0: $i] :
( rr(X0)
| q(X0)
| pp(X0)
| p(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ ap(X0)
| ~ rq(s(X0)) ),
inference(cnf_transformation,[],[f256]) ).
tcf(c_573,negated_conjecture,
! [X0: $i] :
( qq(X0)
| q(X0)
| pp(X0)
| ~ rr(X0)
| ~ r(X0)
| ~ p(X0)
| ~ ap(X0)
| ~ p(s(X0)) ),
inference(cnf_transformation,[],[f257]) ).
tcf(c_574,negated_conjecture,
! [X0: $i] :
( qq(X0)
| q(X0)
| pp(X0)
| pp(s(X0))
| ~ rr(X0)
| ~ r(X0)
| ~ p(X0)
| ~ ap(X0) ),
inference(cnf_transformation,[],[f258]) ).
tcf(c_575,negated_conjecture,
! [X0: $i] :
( qq(X0)
| q(X0)
| pp(X0)
| rq(s(X0))
| ~ rr(X0)
| ~ r(X0)
| ~ p(X0)
| ~ ap(X0) ),
inference(cnf_transformation,[],[f259]) ).
tcf(c_576,negated_conjecture,
! [X0: $i] :
( rr(X0)
| r(X0)
| pp(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ap(X0)
| ~ p(s(X0)) ),
inference(cnf_transformation,[],[f260]) ).
tcf(c_577,negated_conjecture,
! [X0: $i] :
( rr(X0)
| r(X0)
| pp(X0)
| pp(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ap(X0) ),
inference(cnf_transformation,[],[f261]) ).
tcf(c_578,negated_conjecture,
! [X0: $i] :
( rr(X0)
| r(X0)
| pp(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ap(X0)
| ~ rq(s(X0)) ),
inference(cnf_transformation,[],[f262]) ).
tcf(c_579,negated_conjecture,
! [X0: $i] :
( p(X0)
| ap(X0)
| ~ p(s(X0)) ),
inference(cnf_transformation,[],[f263]) ).
tcf(c_580,negated_conjecture,
! [X0: $i] :
( ap(X0)
| p(s(X0))
| ~ p(X0) ),
inference(cnf_transformation,[],[f264]) ).
tcf(c_581,negated_conjecture,
! [X0: $i] :
( pp(X0)
| ap(X0)
| ~ pp(s(X0)) ),
inference(cnf_transformation,[],[f265]) ).
tcf(c_582,negated_conjecture,
! [X0: $i] :
( ap(X0)
| pp(s(X0))
| ~ pp(X0) ),
inference(cnf_transformation,[],[f266]) ).
tcf(c_583,negated_conjecture,
! [X0: $i] :
( rpq4(X0)
| rpq3(X0)
| rpq2(X0)
| rpq1(X0)
| rq(s(X0))
| ~ rq(X0) ),
inference(cnf_transformation,[],[f267]) ).
tcf(c_584,negated_conjecture,
! [X0: $i] :
( rq(X0)
| rpq4(X0)
| rpq3(X0)
| rpq2(X0)
| rpq1(X0)
| ~ rq(s(X0)) ),
inference(cnf_transformation,[],[f268]) ).
tcf(c_625,plain,
( aq(s(a))
| ~ ap(a) ),
inference(instantiation,[status(thm)],[c_408]) ).
tcf(c_670,plain,
( ~ ar(a)
| ~ ap(a) ),
inference(instantiation,[status(thm)],[c_319]) ).
tcf(c_671,plain,
( ~ aq(a)
| ~ ap(a) ),
inference(instantiation,[status(thm)],[c_318]) ).
tcf(c_672,plain,
( ar(a)
| rr(s(a))
| ~ rr(a) ),
inference(instantiation,[status(thm)],[c_524]) ).
tcf(c_674,plain,
( ar(a)
| r(s(a))
| ~ r(a) ),
inference(instantiation,[status(thm)],[c_522]) ).
tcf(c_675,plain,
( r(a)
| ar(a)
| ~ r(s(a)) ),
inference(instantiation,[status(thm)],[c_521]) ).
tcf(c_677,plain,
( qq(a)
| aq(a)
| ~ qq(s(a)) ),
inference(instantiation,[status(thm)],[c_465]) ).
tcf(c_678,plain,
( aq(a)
| q(s(a))
| ~ q(a) ),
inference(instantiation,[status(thm)],[c_464]) ).
tcf(c_679,plain,
( q(a)
| aq(a)
| ~ q(s(a)) ),
inference(instantiation,[status(thm)],[c_463]) ).
tcf(c_843,plain,
! [X0: $i] :
( r(X0)
| q(X0)
| ~ ap(X0)
| p(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_527,c_527,c_529]) ).
tcf(c_844,negated_conjecture,
! [X0: $i] :
( r(X0)
| q(X0)
| p(s(X0))
| ~ ap(X0) ),
inference(renaming,[status(thm)],[c_843]) ).
tcf(c_846,plain,
! [X0: $i] :
( ~ ar(X0)
| r(s(X0))
| p(X0)
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_469,c_469,c_471]) ).
tcf(c_847,negated_conjecture,
! [X0: $i] :
( q(X0)
| p(X0)
| r(s(X0))
| ~ ar(X0) ),
inference(renaming,[status(thm)],[c_846]) ).
tcf(c_849,plain,
! [X0: $i] :
( r(X0)
| ~ aq(X0)
| q(s(X0))
| p(X0) ),
inference(global_subsumption_just,[status(thm)],[c_411,c_411,c_413]) ).
tcf(c_850,negated_conjecture,
! [X0: $i] :
( r(X0)
| p(X0)
| q(s(X0))
| ~ aq(X0) ),
inference(renaming,[status(thm)],[c_849]) ).
tcf(c_852,negated_conjecture,
! [X0: $i] :
( r(X0)
| q(X0)
| p(s(X0))
| ~ p(X0) ),
inference(global_subsumption_just,[status(thm)],[c_529,c_580,c_529]) ).
tcf(c_855,plain,
! [X0: $i] :
( r(X0)
| q(X0)
| ~ pp(s(X0))
| ~ ap(X0) ),
inference(global_subsumption_just,[status(thm)],[c_528,c_528,c_530]) ).
tcf(c_856,negated_conjecture,
! [X0: $i] :
( r(X0)
| q(X0)
| ~ ap(X0)
| ~ pp(s(X0)) ),
inference(renaming,[status(thm)],[c_855]) ).
tcf(c_857,plain,
( r(a)
| q(a)
| ~ ap(a)
| ~ pp(s(a)) ),
inference(instantiation,[status(thm)],[c_856]) ).
tcf(c_858,negated_conjecture,
! [X0: $i] :
( q(X0)
| p(X0)
| r(s(X0))
| ~ r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_471,c_522,c_847]) ).
tcf(c_861,plain,
! [X0: $i] :
( ~ rr(s(X0))
| ~ ar(X0)
| p(X0)
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_470,c_470,c_472]) ).
tcf(c_862,negated_conjecture,
! [X0: $i] :
( q(X0)
| p(X0)
| ~ ar(X0)
| ~ rr(s(X0)) ),
inference(renaming,[status(thm)],[c_861]) ).
tcf(c_864,negated_conjecture,
! [X0: $i] :
( r(X0)
| p(X0)
| q(s(X0))
| ~ q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_413,c_464,c_850]) ).
tcf(c_867,plain,
! [X0: $i] :
( r(X0)
| ~ qq(s(X0))
| ~ aq(X0)
| p(X0) ),
inference(global_subsumption_just,[status(thm)],[c_412,c_412,c_414]) ).
tcf(c_868,negated_conjecture,
! [X0: $i] :
( r(X0)
| p(X0)
| ~ aq(X0)
| ~ qq(s(X0)) ),
inference(renaming,[status(thm)],[c_867]) ).
tcf(c_870,plain,
! [X0: $i] :
( rq(X0)
| rpq4(X0)
| ~ rq(s(X0))
| rpq1(X0)
| rpq2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_584,c_405,c_404,c_403,c_401,c_398,c_397,c_392,c_402,c_400,c_399,c_396,c_395,c_394,c_393,c_584,c_572,c_578]) ).
tcf(c_871,negated_conjecture,
! [X0: $i] :
( rq(X0)
| rpq4(X0)
| rpq2(X0)
| rpq1(X0)
| ~ rq(s(X0)) ),
inference(renaming,[status(thm)],[c_870]) ).
tcf(c_873,plain,
! [X0: $i] :
( rq(X0)
| ~ rq(s(X0))
| rpq1(X0)
| rpq2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_871,c_405,c_404,c_403,c_401,c_402,c_400,c_399,c_578,c_871]) ).
tcf(c_874,negated_conjecture,
! [X0: $i] :
( rq(X0)
| rpq2(X0)
| rpq1(X0)
| ~ rq(s(X0)) ),
inference(renaming,[status(thm)],[c_873]) ).
tcf(c_876,plain,
! [X0: $i] :
( rpq4(X0)
| rpq3(X0)
| rpq2(X0)
| ~ rq(X0)
| rq(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_583,c_391,c_387,c_386,c_385,c_384,c_382,c_379,c_390,c_389,c_388,c_383,c_381,c_380,c_378,c_583,c_569,c_575]) ).
tcf(c_877,negated_conjecture,
! [X0: $i] :
( rpq4(X0)
| rpq3(X0)
| rpq2(X0)
| rq(s(X0))
| ~ rq(X0) ),
inference(renaming,[status(thm)],[c_876]) ).
tcf(c_879,plain,
! [X0: $i] :
( rpq4(X0)
| rpq3(X0)
| ~ rq(X0)
| rq(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_877,c_391,c_387,c_386,c_385,c_390,c_389,c_388,c_575,c_877]) ).
tcf(c_880,negated_conjecture,
! [X0: $i] :
( rpq4(X0)
| rpq3(X0)
| rq(s(X0))
| ~ rq(X0) ),
inference(renaming,[status(thm)],[c_879]) ).
tcf(c_882,plain,
! [X0: $i] :
( r(X0)
| q(X0)
| ~ pp(s(X0))
| ~ ap(X0) ),
inference(global_subsumption_just,[status(thm)],[c_530,c_856]) ).
tcf(c_883,negated_conjecture,
! [X0: $i] :
( r(X0)
| q(X0)
| ~ ap(X0)
| ~ pp(s(X0)) ),
inference(renaming,[status(thm)],[c_882]) ).
tcf(c_884,plain,
! [X0: $i] :
( qp(X0)
| qrp4(X0)
| ~ qp(s(X0))
| qrp1(X0)
| qrp2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_526,c_377,c_376,c_375,c_373,c_370,c_369,c_364,c_374,c_372,c_371,c_368,c_367,c_366,c_365,c_526,c_514,c_520]) ).
tcf(c_885,negated_conjecture,
! [X0: $i] :
( qp(X0)
| qrp4(X0)
| qrp2(X0)
| qrp1(X0)
| ~ qp(s(X0)) ),
inference(renaming,[status(thm)],[c_884]) ).
tcf(c_887,plain,
! [X0: $i] :
( qp(X0)
| ~ qp(s(X0))
| qrp1(X0)
| qrp2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_885,c_377,c_376,c_375,c_373,c_374,c_372,c_371,c_520,c_885]) ).
tcf(c_888,negated_conjecture,
! [X0: $i] :
( qp(X0)
| qrp2(X0)
| qrp1(X0)
| ~ qp(s(X0)) ),
inference(renaming,[status(thm)],[c_887]) ).
tcf(c_890,plain,
! [X0: $i] :
( qrp4(X0)
| qrp3(X0)
| qrp2(X0)
| ~ qp(X0)
| qp(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_525,c_363,c_359,c_358,c_357,c_356,c_354,c_351,c_362,c_361,c_360,c_355,c_353,c_352,c_350,c_525,c_511,c_517]) ).
tcf(c_891,negated_conjecture,
! [X0: $i] :
( qrp4(X0)
| qrp3(X0)
| qrp2(X0)
| qp(s(X0))
| ~ qp(X0) ),
inference(renaming,[status(thm)],[c_890]) ).
tcf(c_893,plain,
! [X0: $i] :
( qrp4(X0)
| qrp3(X0)
| ~ qp(X0)
| qp(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_891,c_363,c_359,c_358,c_357,c_362,c_361,c_360,c_517,c_891]) ).
tcf(c_894,negated_conjecture,
! [X0: $i] :
( qrp4(X0)
| qrp3(X0)
| qp(s(X0))
| ~ qp(X0) ),
inference(renaming,[status(thm)],[c_893]) ).
tcf(c_896,plain,
! [X0: $i] :
( q(X0)
| p(X0)
| ~ rr(s(X0))
| ~ ar(X0) ),
inference(global_subsumption_just,[status(thm)],[c_472,c_470,c_472]) ).
tcf(c_897,negated_conjecture,
! [X0: $i] :
( q(X0)
| p(X0)
| ~ ar(X0)
| ~ rr(s(X0)) ),
inference(renaming,[status(thm)],[c_896]) ).
tcf(c_898,plain,
! [X0: $i] :
( pr(X0)
| pqr4(X0)
| ~ pr(s(X0))
| pqr1(X0)
| pqr2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_468,c_349,c_348,c_347,c_345,c_342,c_341,c_336,c_346,c_344,c_343,c_340,c_339,c_338,c_337,c_468,c_456,c_462]) ).
tcf(c_899,negated_conjecture,
! [X0: $i] :
( pr(X0)
| pqr4(X0)
| pqr2(X0)
| pqr1(X0)
| ~ pr(s(X0)) ),
inference(renaming,[status(thm)],[c_898]) ).
tcf(c_901,plain,
! [X0: $i] :
( pr(X0)
| ~ pr(s(X0))
| pqr1(X0)
| pqr2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_899,c_349,c_348,c_347,c_345,c_346,c_344,c_343,c_462,c_899]) ).
tcf(c_902,negated_conjecture,
! [X0: $i] :
( pr(X0)
| pqr2(X0)
| pqr1(X0)
| ~ pr(s(X0)) ),
inference(renaming,[status(thm)],[c_901]) ).
tcf(c_904,plain,
! [X0: $i] :
( pqr4(X0)
| pqr3(X0)
| pqr2(X0)
| ~ pr(X0)
| pr(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_467,c_335,c_331,c_330,c_329,c_328,c_326,c_323,c_334,c_333,c_332,c_327,c_325,c_324,c_322,c_467,c_453,c_459]) ).
tcf(c_905,negated_conjecture,
! [X0: $i] :
( pqr4(X0)
| pqr3(X0)
| pqr2(X0)
| pr(s(X0))
| ~ pr(X0) ),
inference(renaming,[status(thm)],[c_904]) ).
tcf(c_907,plain,
! [X0: $i] :
( pqr4(X0)
| pqr3(X0)
| ~ pr(X0)
| pr(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_905,c_335,c_331,c_330,c_329,c_334,c_333,c_332,c_459,c_905]) ).
tcf(c_908,negated_conjecture,
! [X0: $i] :
( pqr4(X0)
| pqr3(X0)
| pr(s(X0))
| ~ pr(X0) ),
inference(renaming,[status(thm)],[c_907]) ).
tcf(c_910,plain,
! [X0: $i] :
( r(X0)
| p(X0)
| ~ qq(s(X0))
| ~ aq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_414,c_868]) ).
tcf(c_911,negated_conjecture,
! [X0: $i] :
( r(X0)
| p(X0)
| ~ aq(X0)
| ~ qq(s(X0)) ),
inference(renaming,[status(thm)],[c_910]) ).
tcf(c_912,plain,
! [X0: $i] :
( ~ pp(s(X0))
| ~ ap(X0)
| ~ q(X0)
| ~ r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_534,c_534,c_532]) ).
tcf(c_913,negated_conjecture,
! [X0: $i] :
( ~ r(X0)
| ~ q(X0)
| ~ ap(X0)
| ~ pp(s(X0)) ),
inference(renaming,[status(thm)],[c_912]) ).
tcf(c_914,plain,
( ~ r(a)
| ~ q(a)
| ~ ap(a)
| ~ pp(s(a)) ),
inference(instantiation,[status(thm)],[c_913]) ).
tcf(c_915,negated_conjecture,
! [X0: $i] :
( p(X0)
| ~ r(X0)
| ~ q(X0)
| ~ p(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_533,c_579,c_533]) ).
tcf(c_918,plain,
! [X0: $i] :
( ~ rr(s(X0))
| ~ ar(X0)
| ~ p(X0)
| ~ q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_476,c_476,c_474]) ).
tcf(c_919,negated_conjecture,
! [X0: $i] :
( ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rr(s(X0)) ),
inference(renaming,[status(thm)],[c_918]) ).
tcf(c_921,negated_conjecture,
! [X0: $i] :
( r(X0)
| ~ q(X0)
| ~ p(X0)
| ~ r(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_475,c_521,c_475,c_473]) ).
tcf(c_924,plain,
! [X0: $i] :
( ~ qq(s(X0))
| ~ aq(X0)
| ~ p(X0)
| ~ r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_418,c_418,c_416]) ).
tcf(c_925,negated_conjecture,
! [X0: $i] :
( ~ r(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ qq(s(X0)) ),
inference(renaming,[status(thm)],[c_924]) ).
tcf(c_927,negated_conjecture,
! [X0: $i] :
( q(X0)
| ~ r(X0)
| ~ p(X0)
| ~ q(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_417,c_463,c_417]) ).
tcf(c_930,plain,
! [X0: $i] :
( ~ r(X0)
| ~ q(X0)
| ~ pp(s(X0))
| ~ ap(X0) ),
inference(global_subsumption_just,[status(thm)],[c_532,c_913]) ).
tcf(c_931,negated_conjecture,
! [X0: $i] :
( ~ r(X0)
| ~ q(X0)
| ~ ap(X0)
| ~ pp(s(X0)) ),
inference(renaming,[status(thm)],[c_930]) ).
tcf(c_932,plain,
! [X0: $i] :
( ~ r(X0)
| ~ q(X0)
| ~ p(s(X0))
| ~ ap(X0) ),
inference(global_subsumption_just,[status(thm)],[c_531,c_531,c_915]) ).
tcf(c_933,negated_conjecture,
! [X0: $i] :
( ~ r(X0)
| ~ q(X0)
| ~ ap(X0)
| ~ p(s(X0)) ),
inference(renaming,[status(thm)],[c_932]) ).
tcf(c_935,plain,
! [X0: $i] :
( ~ rr(s(X0))
| ~ ar(X0)
| ~ p(X0)
| ~ q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_474,c_919]) ).
tcf(c_936,negated_conjecture,
! [X0: $i] :
( ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rr(s(X0)) ),
inference(renaming,[status(thm)],[c_935]) ).
tcf(c_937,plain,
! [X0: $i] :
( ~ r(s(X0))
| ~ ar(X0)
| ~ p(X0)
| ~ q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_473,c_475,c_473]) ).
tcf(c_938,negated_conjecture,
! [X0: $i] :
( ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ r(s(X0)) ),
inference(renaming,[status(thm)],[c_937]) ).
tcf(c_940,plain,
! [X0: $i] :
( ~ r(X0)
| ~ qq(s(X0))
| ~ aq(X0)
| ~ p(X0) ),
inference(global_subsumption_just,[status(thm)],[c_416,c_925]) ).
tcf(c_941,negated_conjecture,
! [X0: $i] :
( ~ r(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ qq(s(X0)) ),
inference(renaming,[status(thm)],[c_940]) ).
tcf(c_942,plain,
! [X0: $i] :
( ~ r(X0)
| ~ q(s(X0))
| ~ aq(X0)
| ~ p(X0) ),
inference(global_subsumption_just,[status(thm)],[c_415,c_415,c_927]) ).
tcf(c_943,negated_conjecture,
! [X0: $i] :
( ~ r(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ q(s(X0)) ),
inference(renaming,[status(thm)],[c_942]) ).
tcf(c_945,plain,
! [X0: $i] :
( qq(X0)
| q(X0)
| pp(X0)
| ~ ap(X0)
| ~ r(X0)
| pp(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_544,c_544,c_540,c_574]) ).
tcf(c_946,negated_conjecture,
! [X0: $i] :
( qq(X0)
| q(X0)
| pp(X0)
| pp(s(X0))
| ~ r(X0)
| ~ ap(X0) ),
inference(renaming,[status(thm)],[c_945]) ).
tcf(c_948,plain,
! [X0: $i] :
( rr(X0)
| r(X0)
| pp(X0)
| ~ ap(X0)
| ~ q(X0)
| pp(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_536,c_536,c_548,c_577]) ).
tcf(c_949,negated_conjecture,
! [X0: $i] :
( rr(X0)
| r(X0)
| pp(X0)
| pp(s(X0))
| ~ q(X0)
| ~ ap(X0) ),
inference(renaming,[status(thm)],[c_948]) ).
tcf(c_951,plain,
! [X0: $i] :
( rr(X0)
| ~ ar(X0)
| ~ q(X0)
| rr(s(X0))
| p(X0)
| pp(X0) ),
inference(global_subsumption_just,[status(thm)],[c_486,c_486,c_482,c_516]) ).
tcf(c_952,negated_conjecture,
! [X0: $i] :
( rr(X0)
| pp(X0)
| p(X0)
| rr(s(X0))
| ~ q(X0)
| ~ ar(X0) ),
inference(renaming,[status(thm)],[c_951]) ).
tcf(c_954,plain,
! [X0: $i] :
( rr(X0)
| ~ ar(X0)
| ~ p(X0)
| rr(s(X0))
| q(X0)
| qq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_478,c_478,c_490,c_519]) ).
tcf(c_955,negated_conjecture,
! [X0: $i] :
( rr(X0)
| qq(X0)
| q(X0)
| rr(s(X0))
| ~ p(X0)
| ~ ar(X0) ),
inference(renaming,[status(thm)],[c_954]) ).
tcf(c_957,plain,
! [X0: $i] :
( rr(X0)
| r(X0)
| qq(X0)
| ~ aq(X0)
| ~ p(X0)
| qq(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_428,c_428,c_424,c_458]) ).
tcf(c_958,negated_conjecture,
! [X0: $i] :
( rr(X0)
| r(X0)
| qq(X0)
| qq(s(X0))
| ~ p(X0)
| ~ aq(X0) ),
inference(renaming,[status(thm)],[c_957]) ).
tcf(c_960,plain,
! [X0: $i] :
( qq(X0)
| ~ aq(X0)
| ~ r(X0)
| qq(s(X0))
| p(X0)
| pp(X0) ),
inference(global_subsumption_just,[status(thm)],[c_420,c_420,c_432,c_461]) ).
tcf(c_961,negated_conjecture,
! [X0: $i] :
( qq(X0)
| pp(X0)
| p(X0)
| qq(s(X0))
| ~ r(X0)
| ~ aq(X0) ),
inference(renaming,[status(thm)],[c_960]) ).
tcf(c_963,negated_conjecture,
! [X0: $i] :
( rr(X0)
| r(X0)
| p(X0)
| pp(s(X0))
| ~ q(X0)
| ~ pp(X0) ),
inference(global_subsumption_just,[status(thm)],[c_558,c_582,c_558]) ).
tcf(c_966,negated_conjecture,
! [X0: $i] :
( qq(X0)
| q(X0)
| p(X0)
| pp(s(X0))
| ~ r(X0)
| ~ pp(X0) ),
inference(global_subsumption_just,[status(thm)],[c_554,c_582,c_554]) ).
tcf(c_969,negated_conjecture,
! [X0: $i] :
( r(X0)
| qq(X0)
| pp(X0)
| pp(s(X0))
| ~ q(X0)
| ~ ap(X0) ),
inference(global_subsumption_just,[status(thm)],[c_548,c_548,c_568,c_949]) ).
tcf(c_972,plain,
! [X0: $i] :
( r(X0)
| qq(X0)
| ~ p(X0)
| p(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_547,c_580,c_547,c_555,c_844]) ).
tcf(c_973,negated_conjecture,
! [X0: $i] :
( r(X0)
| qq(X0)
| p(s(X0))
| ~ p(X0) ),
inference(renaming,[status(thm)],[c_972]) ).
tcf(c_975,negated_conjecture,
! [X0: $i] :
( qq(X0)
| p(X0)
| ~ r(X0)
| ~ p(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_543,c_579,c_543,c_553,c_915]) ).
tcf(c_978,negated_conjecture,
! [X0: $i] :
( rr(X0)
| q(X0)
| pp(X0)
| pp(s(X0))
| ~ r(X0)
| ~ ap(X0) ),
inference(global_subsumption_just,[status(thm)],[c_540,c_540,c_571,c_946]) ).
tcf(c_981,plain,
! [X0: $i] :
( rr(X0)
| q(X0)
| ~ p(X0)
| p(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_539,c_580,c_539,c_551,c_844]) ).
tcf(c_982,negated_conjecture,
! [X0: $i] :
( rr(X0)
| q(X0)
| p(s(X0))
| ~ p(X0) ),
inference(renaming,[status(thm)],[c_981]) ).
tcf(c_984,negated_conjecture,
! [X0: $i] :
( rr(X0)
| p(X0)
| ~ q(X0)
| ~ p(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_535,c_579,c_533,c_535,c_557]) ).
tcf(c_987,negated_conjecture,
! [X0: $i] :
( r(X0)
| qq(X0)
| q(X0)
| rr(s(X0))
| ~ rr(X0)
| ~ p(X0) ),
inference(global_subsumption_just,[status(thm)],[c_500,c_524,c_500]) ).
tcf(c_990,negated_conjecture,
! [X0: $i] :
( r(X0)
| pp(X0)
| p(X0)
| rr(s(X0))
| ~ rr(X0)
| ~ q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_496,c_524,c_496]) ).
tcf(c_993,plain,
! [X0: $i] :
( rr(X0)
| q(X0)
| pp(X0)
| rr(s(X0))
| ~ ar(X0)
| ~ p(X0) ),
inference(global_subsumption_just,[status(thm)],[c_490,c_478,c_490,c_510,c_519]) ).
tcf(c_994,negated_conjecture,
! [X0: $i] :
( rr(X0)
| q(X0)
| pp(X0)
| rr(s(X0))
| ~ p(X0)
| ~ ar(X0) ),
inference(renaming,[status(thm)],[c_993]) ).
tcf(c_996,plain,
! [X0: $i] :
( ~ r(X0)
| r(s(X0))
| pp(X0)
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_489,c_522,c_489,c_497,c_858]) ).
tcf(c_997,negated_conjecture,
! [X0: $i] :
( q(X0)
| pp(X0)
| r(s(X0))
| ~ r(X0) ),
inference(renaming,[status(thm)],[c_996]) ).
tcf(c_999,plain,
! [X0: $i] :
( ~ q(X0)
| ~ r(s(X0))
| pp(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_485,c_521,c_475,c_473,c_485,c_495]) ).
tcf(c_1000,negated_conjecture,
! [X0: $i] :
( r(X0)
| pp(X0)
| ~ q(X0)
| ~ r(s(X0)) ),
inference(renaming,[status(thm)],[c_999]) ).
tcf(c_1002,plain,
! [X0: $i] :
( rr(X0)
| qq(X0)
| p(X0)
| rr(s(X0))
| ~ ar(X0)
| ~ q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_482,c_482,c_513,c_952]) ).
tcf(c_1003,negated_conjecture,
! [X0: $i] :
( rr(X0)
| qq(X0)
| p(X0)
| rr(s(X0))
| ~ q(X0)
| ~ ar(X0) ),
inference(renaming,[status(thm)],[c_1002]) ).
tcf(c_1005,plain,
! [X0: $i] :
( ~ r(X0)
| r(s(X0))
| p(X0)
| qq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_481,c_522,c_481,c_493,c_858]) ).
tcf(c_1006,negated_conjecture,
! [X0: $i] :
( qq(X0)
| p(X0)
| r(s(X0))
| ~ r(X0) ),
inference(renaming,[status(thm)],[c_1005]) ).
tcf(c_1008,plain,
! [X0: $i] :
( ~ p(X0)
| ~ r(s(X0))
| qq(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_477,c_521,c_475,c_477,c_499]) ).
tcf(c_1009,negated_conjecture,
! [X0: $i] :
( r(X0)
| qq(X0)
| ~ p(X0)
| ~ r(s(X0)) ),
inference(renaming,[status(thm)],[c_1008]) ).
tcf(c_1011,negated_conjecture,
! [X0: $i] :
( q(X0)
| pp(X0)
| p(X0)
| qq(s(X0))
| ~ r(X0)
| ~ qq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_442,c_466,c_442]) ).
tcf(c_1014,negated_conjecture,
! [X0: $i] :
( rr(X0)
| r(X0)
| q(X0)
| qq(s(X0))
| ~ qq(X0)
| ~ p(X0) ),
inference(global_subsumption_just,[status(thm)],[c_438,c_466,c_438]) ).
tcf(c_1017,negated_conjecture,
! [X0: $i] :
( rr(X0)
| qq(X0)
| p(X0)
| qq(s(X0))
| ~ r(X0)
| ~ aq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_432,c_432,c_452,c_961]) ).
tcf(c_1020,plain,
! [X0: $i] :
( rr(X0)
| ~ q(X0)
| q(s(X0))
| p(X0) ),
inference(global_subsumption_just,[status(thm)],[c_431,c_464,c_413,c_431,c_439]) ).
tcf(c_1021,negated_conjecture,
! [X0: $i] :
( rr(X0)
| p(X0)
| q(s(X0))
| ~ q(X0) ),
inference(renaming,[status(thm)],[c_1020]) ).
tcf(c_1023,negated_conjecture,
! [X0: $i] :
( rr(X0)
| q(X0)
| ~ p(X0)
| ~ q(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_427,c_463,c_427,c_437,c_927]) ).
tcf(c_1026,plain,
! [X0: $i] :
( r(X0)
| qq(X0)
| pp(X0)
| qq(s(X0))
| ~ aq(X0)
| ~ p(X0) ),
inference(global_subsumption_just,[status(thm)],[c_424,c_424,c_455,c_958]) ).
tcf(c_1027,negated_conjecture,
! [X0: $i] :
( r(X0)
| qq(X0)
| pp(X0)
| qq(s(X0))
| ~ p(X0)
| ~ aq(X0) ),
inference(renaming,[status(thm)],[c_1026]) ).
tcf(c_1029,plain,
! [X0: $i] :
( r(X0)
| ~ q(X0)
| q(s(X0))
| pp(X0) ),
inference(global_subsumption_just,[status(thm)],[c_423,c_464,c_423,c_435,c_850]) ).
tcf(c_1030,negated_conjecture,
! [X0: $i] :
( r(X0)
| pp(X0)
| q(s(X0))
| ~ q(X0) ),
inference(renaming,[status(thm)],[c_1029]) ).
tcf(c_1032,plain,
! [X0: $i] :
( ~ r(X0)
| ~ q(s(X0))
| pp(X0)
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_419,c_463,c_417,c_419,c_441]) ).
tcf(c_1033,negated_conjecture,
! [X0: $i] :
( q(X0)
| pp(X0)
| ~ r(X0)
| ~ q(s(X0)) ),
inference(renaming,[status(thm)],[c_1032]) ).
tcf(c_1035,plain,
! [X0: $i] :
( rr(X0)
| ~ p(s(X0))
| ~ q(X0)
| p(X0) ),
inference(global_subsumption_just,[status(thm)],[c_557,c_984]) ).
tcf(c_1036,negated_conjecture,
! [X0: $i] :
( rr(X0)
| p(X0)
| ~ q(X0)
| ~ p(s(X0)) ),
inference(renaming,[status(thm)],[c_1035]) ).
tcf(c_1037,negated_conjecture,
! [X0: $i] :
( r(X0)
| qq(X0)
| pp(s(X0))
| ~ q(X0)
| ~ pp(X0)
| ~ p(X0) ),
inference(global_subsumption_just,[status(thm)],[c_556,c_582,c_556]) ).
tcf(c_1040,negated_conjecture,
! [X0: $i] :
( r(X0)
| qq(X0)
| p(s(X0))
| ~ p(X0) ),
inference(global_subsumption_just,[status(thm)],[c_555,c_580,c_547,c_555,c_844]) ).
tcf(c_1042,plain,
! [X0: $i] :
( qq(X0)
| ~ p(s(X0))
| ~ r(X0)
| p(X0) ),
inference(global_subsumption_just,[status(thm)],[c_553,c_975]) ).
tcf(c_1043,negated_conjecture,
! [X0: $i] :
( qq(X0)
| p(X0)
| ~ r(X0)
| ~ p(s(X0)) ),
inference(renaming,[status(thm)],[c_1042]) ).
tcf(c_1044,negated_conjecture,
! [X0: $i] :
( rr(X0)
| q(X0)
| pp(s(X0))
| ~ r(X0)
| ~ pp(X0)
| ~ p(X0) ),
inference(global_subsumption_just,[status(thm)],[c_552,c_582,c_552]) ).
tcf(c_1047,negated_conjecture,
! [X0: $i] :
( rr(X0)
| q(X0)
| p(s(X0))
| ~ p(X0) ),
inference(global_subsumption_just,[status(thm)],[c_551,c_982]) ).
tcf(c_1049,negated_conjecture,
! [X0: $i] :
( r(X0)
| qq(X0)
| ~ p(X0)
| ~ r(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_499,c_1009]) ).
tcf(c_1051,negated_conjecture,
! [X0: $i] :
( q(X0)
| pp(X0)
| rr(s(X0))
| ~ rr(X0)
| ~ r(X0)
| ~ p(X0) ),
inference(global_subsumption_just,[status(thm)],[c_498,c_524,c_498]) ).
tcf(c_1054,negated_conjecture,
! [X0: $i] :
( q(X0)
| pp(X0)
| r(s(X0))
| ~ r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_497,c_997]) ).
tcf(c_1056,negated_conjecture,
! [X0: $i] :
( r(X0)
| pp(X0)
| ~ q(X0)
| ~ r(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_495,c_1000]) ).
tcf(c_1058,negated_conjecture,
! [X0: $i] :
( qq(X0)
| p(X0)
| rr(s(X0))
| ~ rr(X0)
| ~ r(X0)
| ~ q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_494,c_524,c_494]) ).
tcf(c_1061,negated_conjecture,
! [X0: $i] :
( qq(X0)
| p(X0)
| r(s(X0))
| ~ r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_493,c_522,c_481,c_493,c_858]) ).
tcf(c_1063,plain,
! [X0: $i] :
( q(X0)
| pp(X0)
| ~ q(s(X0))
| ~ r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_441,c_463,c_417,c_419,c_441]) ).
tcf(c_1064,negated_conjecture,
! [X0: $i] :
( q(X0)
| pp(X0)
| ~ r(X0)
| ~ q(s(X0)) ),
inference(renaming,[status(thm)],[c_1063]) ).
tcf(c_1065,negated_conjecture,
! [X0: $i] :
( rr(X0)
| p(X0)
| qq(s(X0))
| ~ r(X0)
| ~ qq(X0)
| ~ q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_440,c_466,c_440]) ).
tcf(c_1068,negated_conjecture,
! [X0: $i] :
( rr(X0)
| p(X0)
| q(s(X0))
| ~ q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_439,c_1021]) ).
tcf(c_1070,plain,
! [X0: $i] :
( rr(X0)
| ~ p(X0)
| ~ q(s(X0))
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_437,c_1023]) ).
tcf(c_1071,negated_conjecture,
! [X0: $i] :
( rr(X0)
| q(X0)
| ~ p(X0)
| ~ q(s(X0)) ),
inference(renaming,[status(thm)],[c_1070]) ).
tcf(c_1072,negated_conjecture,
! [X0: $i] :
( r(X0)
| pp(X0)
| qq(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0) ),
inference(global_subsumption_just,[status(thm)],[c_436,c_466,c_436]) ).
tcf(c_1075,negated_conjecture,
! [X0: $i] :
( r(X0)
| pp(X0)
| q(s(X0))
| ~ q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_435,c_1030]) ).
tcf(c_1077,plain,
! [X0: $i] :
( rr(X0)
| q(X0)
| pp(X0)
| ~ ap(X0)
| ~ r(X0)
| pp(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_571,c_978]) ).
tcf(c_1078,negated_conjecture,
! [X0: $i] :
( rr(X0)
| q(X0)
| pp(X0)
| pp(s(X0))
| ~ r(X0)
| ~ ap(X0) ),
inference(renaming,[status(thm)],[c_1077]) ).
tcf(c_1079,plain,
! [X0: $i] :
( rr(X0)
| q(X0)
| pp(X0)
| ~ qq(X0)
| ~ ap(X0)
| p(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_570,c_527,c_529,c_539,c_551,c_570,c_541,c_559]) ).
tcf(c_1080,negated_conjecture,
! [X0: $i] :
( rr(X0)
| q(X0)
| pp(X0)
| p(s(X0))
| ~ qq(X0)
| ~ ap(X0) ),
inference(renaming,[status(thm)],[c_1079]) ).
tcf(c_1082,plain,
! [X0: $i] :
( r(X0)
| qq(X0)
| pp(X0)
| ~ q(X0)
| ~ ap(X0)
| pp(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_568,c_969]) ).
tcf(c_1083,negated_conjecture,
! [X0: $i] :
( r(X0)
| qq(X0)
| pp(X0)
| pp(s(X0))
| ~ q(X0)
| ~ ap(X0) ),
inference(renaming,[status(thm)],[c_1082]) ).
tcf(c_1084,plain,
! [X0: $i] :
( r(X0)
| qq(X0)
| pp(X0)
| ~ ap(X0)
| ~ rr(X0)
| p(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_567,c_527,c_529,c_567,c_973]) ).
tcf(c_1085,negated_conjecture,
! [X0: $i] :
( r(X0)
| qq(X0)
| pp(X0)
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0) ),
inference(renaming,[status(thm)],[c_1084]) ).
tcf(c_1087,negated_conjecture,
! [X0: $i] :
( r(X0)
| p(s(X0))
| ~ pp(X0)
| ~ p(X0) ),
inference(global_subsumption_just,[status(thm)],[c_549,c_580,c_549,c_844,c_973]) ).
tcf(c_1090,plain,
! [X0: $i] :
( q(X0)
| p(X0)
| ~ pp(s(X0))
| ~ ap(X0)
| ~ pp(X0)
| ~ qq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_546,c_528,c_530,c_546]) ).
tcf(c_1091,negated_conjecture,
! [X0: $i] :
( q(X0)
| p(X0)
| ~ qq(X0)
| ~ pp(X0)
| ~ ap(X0)
| ~ pp(s(X0)) ),
inference(renaming,[status(thm)],[c_1090]) ).
tcf(c_1093,plain,
! [X0: $i] :
( ~ pp(X0)
| ~ p(s(X0))
| ~ r(X0)
| p(X0) ),
inference(global_subsumption_just,[status(thm)],[c_545,c_579,c_545,c_915,c_975]) ).
tcf(c_1094,negated_conjecture,
! [X0: $i] :
( p(X0)
| ~ r(X0)
| ~ pp(X0)
| ~ p(s(X0)) ),
inference(renaming,[status(thm)],[c_1093]) ).
tcf(c_1096,negated_conjecture,
! [X0: $i] :
( q(X0)
| p(s(X0))
| ~ pp(X0)
| ~ p(X0) ),
inference(global_subsumption_just,[status(thm)],[c_541,c_580,c_541,c_982,c_1087]) ).
tcf(c_1099,plain,
! [X0: $i] :
( r(X0)
| p(X0)
| ~ rr(X0)
| ~ pp(s(X0))
| ~ ap(X0)
| ~ pp(X0) ),
inference(global_subsumption_just,[status(thm)],[c_538,c_528,c_530,c_538]) ).
tcf(c_1100,negated_conjecture,
! [X0: $i] :
( r(X0)
| p(X0)
| ~ rr(X0)
| ~ pp(X0)
| ~ ap(X0)
| ~ pp(s(X0)) ),
inference(renaming,[status(thm)],[c_1099]) ).
tcf(c_1102,plain,
! [X0: $i] :
( ~ q(X0)
| ~ pp(X0)
| ~ p(s(X0))
| p(X0) ),
inference(global_subsumption_just,[status(thm)],[c_537,c_579,c_537,c_984,c_1094]) ).
tcf(c_1103,negated_conjecture,
! [X0: $i] :
( p(X0)
| ~ q(X0)
| ~ pp(X0)
| ~ p(s(X0)) ),
inference(renaming,[status(thm)],[c_1102]) ).
tcf(c_1105,plain,
! [X0: $i] :
( rr(X0)
| ~ ar(X0)
| ~ q(X0)
| rr(s(X0))
| p(X0)
| qq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_513,c_1003]) ).
tcf(c_1106,negated_conjecture,
! [X0: $i] :
( rr(X0)
| qq(X0)
| p(X0)
| rr(s(X0))
| ~ q(X0)
| ~ ar(X0) ),
inference(renaming,[status(thm)],[c_1105]) ).
tcf(c_1107,plain,
! [X0: $i] :
( rr(X0)
| ~ pp(X0)
| ~ ar(X0)
| r(s(X0))
| p(X0)
| qq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_512,c_512,c_847,c_1006]) ).
tcf(c_1108,negated_conjecture,
! [X0: $i] :
( rr(X0)
| qq(X0)
| p(X0)
| r(s(X0))
| ~ pp(X0)
| ~ ar(X0) ),
inference(renaming,[status(thm)],[c_1107]) ).
tcf(c_1110,plain,
! [X0: $i] :
( rr(X0)
| ~ p(X0)
| ~ ar(X0)
| rr(s(X0))
| pp(X0)
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_510,c_994]) ).
tcf(c_1111,negated_conjecture,
! [X0: $i] :
( rr(X0)
| q(X0)
| pp(X0)
| rr(s(X0))
| ~ p(X0)
| ~ ar(X0) ),
inference(renaming,[status(thm)],[c_1110]) ).
tcf(c_1112,plain,
! [X0: $i] :
( rr(X0)
| ~ ar(X0)
| ~ qq(X0)
| r(s(X0))
| pp(X0)
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_509,c_522,c_489,c_497,c_509,c_847,c_858]) ).
tcf(c_1113,negated_conjecture,
! [X0: $i] :
( rr(X0)
| q(X0)
| pp(X0)
| r(s(X0))
| ~ qq(X0)
| ~ ar(X0) ),
inference(renaming,[status(thm)],[c_1112]) ).
tcf(c_1115,negated_conjecture,
! [X0: $i] :
( q(X0)
| r(s(X0))
| ~ rr(X0)
| ~ r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_491,c_522,c_491,c_858,c_997]) ).
tcf(c_1118,plain,
! [X0: $i] :
( r(X0)
| p(X0)
| ~ rr(X0)
| ~ rr(s(X0))
| ~ ar(X0)
| ~ pp(X0) ),
inference(global_subsumption_just,[status(thm)],[c_488,c_470,c_472,c_488]) ).
tcf(c_1119,negated_conjecture,
! [X0: $i] :
( r(X0)
| p(X0)
| ~ rr(X0)
| ~ pp(X0)
| ~ ar(X0)
| ~ rr(s(X0)) ),
inference(renaming,[status(thm)],[c_1118]) ).
tcf(c_1121,plain,
! [X0: $i] :
( r(X0)
| ~ r(s(X0))
| ~ q(X0)
| ~ rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_487,c_521,c_487,c_921,c_1000]) ).
tcf(c_1122,negated_conjecture,
! [X0: $i] :
( r(X0)
| ~ rr(X0)
| ~ q(X0)
| ~ r(s(X0)) ),
inference(renaming,[status(thm)],[c_1121]) ).
tcf(c_1124,negated_conjecture,
! [X0: $i] :
( p(X0)
| r(s(X0))
| ~ rr(X0)
| ~ r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_483,c_522,c_483,c_1006,c_1115]) ).
tcf(c_1127,plain,
! [X0: $i] :
( r(X0)
| q(X0)
| ~ rr(X0)
| ~ qq(X0)
| ~ rr(s(X0))
| ~ ar(X0) ),
inference(global_subsumption_just,[status(thm)],[c_480,c_480,c_862]) ).
tcf(c_1128,negated_conjecture,
! [X0: $i] :
( r(X0)
| q(X0)
| ~ rr(X0)
| ~ qq(X0)
| ~ ar(X0)
| ~ rr(s(X0)) ),
inference(renaming,[status(thm)],[c_1127]) ).
tcf(c_1130,plain,
! [X0: $i] :
( r(X0)
| ~ p(X0)
| ~ r(s(X0))
| ~ rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_479,c_521,c_487,c_479,c_921,c_1000,c_1009]) ).
tcf(c_1131,negated_conjecture,
! [X0: $i] :
( r(X0)
| ~ rr(X0)
| ~ p(X0)
| ~ r(s(X0)) ),
inference(renaming,[status(thm)],[c_1130]) ).
tcf(c_1133,plain,
! [X0: $i] :
( r(X0)
| qq(X0)
| ~ p(X0)
| ~ aq(X0)
| qq(s(X0))
| pp(X0) ),
inference(global_subsumption_just,[status(thm)],[c_455,c_1027]) ).
tcf(c_1134,negated_conjecture,
! [X0: $i] :
( r(X0)
| qq(X0)
| pp(X0)
| qq(s(X0))
| ~ p(X0)
| ~ aq(X0) ),
inference(renaming,[status(thm)],[c_1133]) ).
tcf(c_1135,plain,
! [X0: $i] :
( r(X0)
| qq(X0)
| ~ aq(X0)
| ~ rr(X0)
| q(s(X0))
| pp(X0) ),
inference(global_subsumption_just,[status(thm)],[c_454,c_454,c_850,c_1030]) ).
tcf(c_1136,negated_conjecture,
! [X0: $i] :
( r(X0)
| qq(X0)
| pp(X0)
| q(s(X0))
| ~ rr(X0)
| ~ aq(X0) ),
inference(renaming,[status(thm)],[c_1135]) ).
tcf(c_1138,plain,
! [X0: $i] :
( rr(X0)
| qq(X0)
| ~ aq(X0)
| ~ r(X0)
| qq(s(X0))
| p(X0) ),
inference(global_subsumption_just,[status(thm)],[c_452,c_1017]) ).
tcf(c_1139,negated_conjecture,
! [X0: $i] :
( rr(X0)
| qq(X0)
| p(X0)
| qq(s(X0))
| ~ r(X0)
| ~ aq(X0) ),
inference(renaming,[status(thm)],[c_1138]) ).
tcf(c_1140,plain,
! [X0: $i] :
( rr(X0)
| qq(X0)
| ~ pp(X0)
| ~ aq(X0)
| q(s(X0))
| p(X0) ),
inference(global_subsumption_just,[status(thm)],[c_451,c_431,c_439,c_451,c_850]) ).
tcf(c_1141,negated_conjecture,
! [X0: $i] :
( rr(X0)
| qq(X0)
| p(X0)
| q(s(X0))
| ~ pp(X0)
| ~ aq(X0) ),
inference(renaming,[status(thm)],[c_1140]) ).
tcf(c_1143,negated_conjecture,
! [X0: $i] :
( p(X0)
| q(s(X0))
| ~ qq(X0)
| ~ q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_433,c_464,c_413,c_439,c_433]) ).
tcf(c_1146,plain,
! [X0: $i] :
( r(X0)
| q(X0)
| ~ rr(X0)
| ~ qq(X0)
| ~ qq(s(X0))
| ~ aq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_430,c_412,c_414,c_430]) ).
tcf(c_1147,negated_conjecture,
! [X0: $i] :
( r(X0)
| q(X0)
| ~ rr(X0)
| ~ qq(X0)
| ~ aq(X0)
| ~ qq(s(X0)) ),
inference(renaming,[status(thm)],[c_1146]) ).
tcf(c_1149,plain,
! [X0: $i] :
( ~ qq(X0)
| ~ p(X0)
| ~ q(s(X0))
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_429,c_463,c_429,c_927,c_1023]) ).
tcf(c_1150,negated_conjecture,
! [X0: $i] :
( q(X0)
| ~ qq(X0)
| ~ p(X0)
| ~ q(s(X0)) ),
inference(renaming,[status(thm)],[c_1149]) ).
tcf(c_1152,negated_conjecture,
! [X0: $i] :
( r(X0)
| q(s(X0))
| ~ qq(X0)
| ~ q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_425,c_464,c_425,c_1030,c_1143]) ).
tcf(c_1155,plain,
! [X0: $i] :
( q(X0)
| p(X0)
| ~ qq(s(X0))
| ~ aq(X0)
| ~ pp(X0)
| ~ qq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_422,c_422,c_868]) ).
tcf(c_1156,negated_conjecture,
! [X0: $i] :
( q(X0)
| p(X0)
| ~ qq(X0)
| ~ pp(X0)
| ~ aq(X0)
| ~ qq(s(X0)) ),
inference(renaming,[status(thm)],[c_1155]) ).
tcf(c_1158,plain,
! [X0: $i] :
( q(X0)
| ~ q(s(X0))
| ~ qq(X0)
| ~ r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_421,c_463,c_417,c_419,c_441,c_421,c_1150]) ).
tcf(c_1159,negated_conjecture,
! [X0: $i] :
( q(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ q(s(X0)) ),
inference(renaming,[status(thm)],[c_1158]) ).
tcf(c_1161,plain,
! [X0: $i] :
( rr(X0)
| r(X0)
| pp(X0)
| pp(s(X0))
| ~ ap(X0)
| ~ q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_577,c_949]) ).
tcf(c_1162,negated_conjecture,
! [X0: $i] :
( rr(X0)
| r(X0)
| pp(X0)
| pp(s(X0))
| ~ q(X0)
| ~ ap(X0) ),
inference(renaming,[status(thm)],[c_1161]) ).
tcf(c_1163,plain,
! [X0: $i] :
( qq(X0)
| q(X0)
| pp(X0)
| pp(s(X0))
| ~ ap(X0)
| ~ r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_574,c_946]) ).
tcf(c_1164,negated_conjecture,
! [X0: $i] :
( qq(X0)
| q(X0)
| pp(X0)
| pp(s(X0))
| ~ r(X0)
| ~ ap(X0) ),
inference(renaming,[status(thm)],[c_1163]) ).
tcf(c_1165,plain,
! [X0: $i] :
( r(X0)
| ~ qq(X0)
| ~ pp(s(X0))
| ~ ap(X0)
| ~ p(X0)
| ~ pp(X0) ),
inference(global_subsumption_just,[status(thm)],[c_550,c_550,c_856]) ).
tcf(c_1166,negated_conjecture,
! [X0: $i] :
( r(X0)
| ~ qq(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ ap(X0)
| ~ pp(s(X0)) ),
inference(renaming,[status(thm)],[c_1165]) ).
tcf(c_1168,plain,
! [X0: $i] :
( q(X0)
| ~ rr(X0)
| ~ pp(s(X0))
| ~ ap(X0)
| ~ p(X0)
| ~ pp(X0) ),
inference(global_subsumption_just,[status(thm)],[c_542,c_530,c_542]) ).
tcf(c_1169,negated_conjecture,
! [X0: $i] :
( q(X0)
| ~ rr(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ ap(X0)
| ~ pp(s(X0)) ),
inference(renaming,[status(thm)],[c_1168]) ).
tcf(c_1171,negated_conjecture,
! [X0: $i] :
( rr(X0)
| qq(X0)
| q(X0)
| rr(s(X0))
| ~ p(X0)
| ~ ar(X0) ),
inference(global_subsumption_just,[status(thm)],[c_519,c_955]) ).
tcf(c_1173,negated_conjecture,
! [X0: $i] :
( rr(X0)
| pp(X0)
| p(X0)
| rr(s(X0))
| ~ q(X0)
| ~ ar(X0) ),
inference(global_subsumption_just,[status(thm)],[c_516,c_486,c_482,c_516]) ).
tcf(c_1175,plain,
! [X0: $i] :
( q(X0)
| ~ rr(X0)
| ~ r(X0)
| ~ pp(X0)
| ~ rr(s(X0))
| ~ ar(X0) ),
inference(global_subsumption_just,[status(thm)],[c_492,c_492,c_862]) ).
tcf(c_1176,negated_conjecture,
! [X0: $i] :
( q(X0)
| ~ rr(X0)
| ~ r(X0)
| ~ pp(X0)
| ~ ar(X0)
| ~ rr(s(X0)) ),
inference(renaming,[status(thm)],[c_1175]) ).
tcf(c_1178,plain,
! [X0: $i] :
( p(X0)
| ~ rr(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ rr(s(X0))
| ~ ar(X0) ),
inference(global_subsumption_just,[status(thm)],[c_484,c_484,c_862]) ).
tcf(c_1179,negated_conjecture,
! [X0: $i] :
( p(X0)
| ~ rr(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ ar(X0)
| ~ rr(s(X0)) ),
inference(renaming,[status(thm)],[c_1178]) ).
tcf(c_1181,plain,
! [X0: $i] :
( qq(X0)
| pp(X0)
| p(X0)
| qq(s(X0))
| ~ aq(X0)
| ~ r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_461,c_961]) ).
tcf(c_1182,negated_conjecture,
! [X0: $i] :
( qq(X0)
| pp(X0)
| p(X0)
| qq(s(X0))
| ~ r(X0)
| ~ aq(X0) ),
inference(renaming,[status(thm)],[c_1181]) ).
tcf(c_1183,negated_conjecture,
! [X0: $i] :
( rr(X0)
| r(X0)
| qq(X0)
| qq(s(X0))
| ~ p(X0)
| ~ aq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_458,c_958]) ).
tcf(c_1185,plain,
! [X0: $i] :
( p(X0)
| ~ rr(X0)
| ~ qq(s(X0))
| ~ aq(X0)
| ~ q(X0)
| ~ qq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_434,c_434,c_868]) ).
tcf(c_1186,negated_conjecture,
! [X0: $i] :
( p(X0)
| ~ rr(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ aq(X0)
| ~ qq(s(X0)) ),
inference(renaming,[status(thm)],[c_1185]) ).
tcf(c_1188,plain,
! [X0: $i] :
( r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ pp(X0)
| ~ qq(s(X0))
| ~ aq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_426,c_426,c_868]) ).
tcf(c_1189,negated_conjecture,
! [X0: $i] :
( r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ pp(X0)
| ~ aq(X0)
| ~ qq(s(X0)) ),
inference(renaming,[status(thm)],[c_1188]) ).
tcf(c_1191,plain,
! [X0: $i] :
( rr(X0)
| ~ ap(X0)
| ~ p(s(X0))
| ~ q(X0)
| ~ qq(X0)
| pp(X0) ),
inference(global_subsumption_just,[status(thm)],[c_576,c_535,c_576,c_933]) ).
tcf(c_1192,negated_conjecture,
! [X0: $i] :
( rr(X0)
| pp(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ ap(X0)
| ~ p(s(X0)) ),
inference(renaming,[status(thm)],[c_1191]) ).
tcf(c_1194,plain,
! [X0: $i] :
( qq(X0)
| ~ ap(X0)
| ~ p(s(X0))
| ~ r(X0)
| ~ rr(X0)
| pp(X0) ),
inference(global_subsumption_just,[status(thm)],[c_573,c_573,c_933,c_975]) ).
tcf(c_1195,negated_conjecture,
! [X0: $i] :
( qq(X0)
| pp(X0)
| ~ rr(X0)
| ~ r(X0)
| ~ ap(X0)
| ~ p(s(X0)) ),
inference(renaming,[status(thm)],[c_1194]) ).
tcf(c_1197,plain,
! [X0: $i] :
( r(X0)
| pp(X0)
| ~ pp(s(X0))
| ~ qq(X0)
| ~ rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_566,c_581,c_566,c_562,c_564,c_560,c_856,c_913]) ).
tcf(c_1198,negated_conjecture,
! [X0: $i] :
( r(X0)
| pp(X0)
| ~ rr(X0)
| ~ qq(X0)
| ~ pp(s(X0)) ),
inference(renaming,[status(thm)],[c_1197]) ).
tcf(c_1200,plain,
! [X0: $i] :
( ~ pp(s(X0))
| ~ qq(X0)
| ~ rr(X0)
| pp(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1198,c_581,c_566,c_562,c_564,c_560,c_856,c_913]) ).
tcf(c_1201,negated_conjecture,
! [X0: $i] :
( pp(X0)
| ~ rr(X0)
| ~ qq(X0)
| ~ pp(s(X0)) ),
inference(renaming,[status(thm)],[c_1200]) ).
tcf(c_1203,plain,
! [X0: $i] :
( p(X0)
| ~ p(s(X0))
| ~ q(X0)
| ~ qq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_565,c_579,c_535,c_557,c_565,c_915,c_1103]) ).
tcf(c_1204,negated_conjecture,
! [X0: $i] :
( p(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(s(X0)) ),
inference(renaming,[status(thm)],[c_1203]) ).
tcf(c_1206,plain,
! [X0: $i] :
( r(X0)
| ~ p(X0)
| ~ rr(X0)
| p(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_563,c_580,c_547,c_555,c_549,c_563,c_844,c_852,c_973]) ).
tcf(c_1207,negated_conjecture,
! [X0: $i] :
( r(X0)
| p(s(X0))
| ~ rr(X0)
| ~ p(X0) ),
inference(renaming,[status(thm)],[c_1206]) ).
tcf(c_1211,negated_conjecture,
! [X0: $i] :
( p(X0)
| ~ rr(X0)
| ~ r(X0)
| ~ p(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_561,c_579,c_561,c_915,c_975,c_1094]) ).
tcf(c_1214,plain,
! [X0: $i] :
( q(X0)
| ~ p(X0)
| ~ qq(X0)
| p(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_559,c_580,c_527,c_529,c_539,c_551,c_541,c_559]) ).
tcf(c_1215,negated_conjecture,
! [X0: $i] :
( q(X0)
| p(s(X0))
| ~ qq(X0)
| ~ p(X0) ),
inference(renaming,[status(thm)],[c_1214]) ).
tcf(c_1217,negated_conjecture,
! [X0: $i] :
( rr(X0)
| qq(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ r(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_518,c_518,c_938,c_1009]) ).
tcf(c_1220,negated_conjecture,
! [X0: $i] :
( rr(X0)
| pp(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ ar(X0)
| ~ r(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_515,c_475,c_473,c_515,c_1000]) ).
tcf(c_1223,plain,
! [X0: $i] :
( rr(X0)
| ~ rr(s(X0))
| ~ pp(X0)
| ~ qq(X0)
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_508,c_523,c_508,c_506,c_862]) ).
tcf(c_1224,negated_conjecture,
! [X0: $i] :
( rr(X0)
| q(X0)
| ~ qq(X0)
| ~ pp(X0)
| ~ rr(s(X0)) ),
inference(renaming,[status(thm)],[c_1223]) ).
tcf(c_1226,plain,
! [X0: $i] :
( rr(X0)
| ~ rr(s(X0))
| ~ pp(X0)
| ~ qq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1224,c_523,c_504,c_502,c_919,c_1224]) ).
tcf(c_1227,negated_conjecture,
! [X0: $i] :
( rr(X0)
| ~ qq(X0)
| ~ pp(X0)
| ~ rr(s(X0)) ),
inference(renaming,[status(thm)],[c_1226]) ).
tcf(c_1229,plain,
! [X0: $i] :
( ~ r(s(X0))
| ~ p(X0)
| ~ pp(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_507,c_521,c_475,c_507,c_1009,c_1131]) ).
tcf(c_1230,negated_conjecture,
! [X0: $i] :
( r(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ r(s(X0)) ),
inference(renaming,[status(thm)],[c_1229]) ).
tcf(c_1232,plain,
! [X0: $i] :
( ~ qq(X0)
| ~ r(X0)
| r(s(X0))
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_505,c_522,c_489,c_497,c_505,c_858,c_1115]) ).
tcf(c_1233,negated_conjecture,
! [X0: $i] :
( q(X0)
| r(s(X0))
| ~ r(X0)
| ~ qq(X0) ),
inference(renaming,[status(thm)],[c_1232]) ).
tcf(c_1237,plain,
! [X0: $i] :
( ~ qq(X0)
| ~ q(X0)
| ~ r(s(X0))
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_503,c_521,c_475,c_473,c_487,c_503,c_921,c_1000]) ).
tcf(c_1238,negated_conjecture,
! [X0: $i] :
( r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ r(s(X0)) ),
inference(renaming,[status(thm)],[c_1237]) ).
tcf(c_1240,plain,
! [X0: $i] :
( ~ pp(X0)
| ~ r(X0)
| r(s(X0))
| p(X0) ),
inference(global_subsumption_just,[status(thm)],[c_501,c_522,c_481,c_493,c_501,c_858,c_1124]) ).
tcf(c_1241,negated_conjecture,
! [X0: $i] :
( p(X0)
| r(s(X0))
| ~ r(X0)
| ~ pp(X0) ),
inference(renaming,[status(thm)],[c_1240]) ).
tcf(c_1243,plain,
! [X0: $i] :
( qq(X0)
| pp(X0)
| ~ aq(X0)
| ~ q(s(X0))
| ~ r(X0)
| ~ rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_460,c_460,c_943,c_1033]) ).
tcf(c_1244,negated_conjecture,
! [X0: $i] :
( qq(X0)
| pp(X0)
| ~ rr(X0)
| ~ r(X0)
| ~ aq(X0)
| ~ q(s(X0)) ),
inference(renaming,[status(thm)],[c_1243]) ).
tcf(c_1246,plain,
! [X0: $i] :
( rr(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ q(s(X0))
| qq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_457,c_427,c_437,c_457,c_943]) ).
tcf(c_1247,negated_conjecture,
! [X0: $i] :
( rr(X0)
| qq(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ q(s(X0)) ),
inference(renaming,[status(thm)],[c_1246]) ).
tcf(c_1249,plain,
! [X0: $i] :
( qq(X0)
| ~ pp(X0)
| ~ qq(s(X0))
| ~ rr(X0)
| p(X0) ),
inference(global_subsumption_just,[status(thm)],[c_450,c_465,c_450,c_448,c_868]) ).
tcf(c_1250,negated_conjecture,
! [X0: $i] :
( qq(X0)
| p(X0)
| ~ rr(X0)
| ~ pp(X0)
| ~ qq(s(X0)) ),
inference(renaming,[status(thm)],[c_1249]) ).
tcf(c_1252,plain,
! [X0: $i] :
( qq(X0)
| ~ qq(s(X0))
| ~ pp(X0)
| ~ rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1250,c_465,c_446,c_444,c_925,c_1250]) ).
tcf(c_1253,negated_conjecture,
! [X0: $i] :
( qq(X0)
| ~ rr(X0)
| ~ pp(X0)
| ~ qq(s(X0)) ),
inference(renaming,[status(thm)],[c_1252]) ).
tcf(c_1255,plain,
! [X0: $i] :
( ~ rr(X0)
| ~ r(X0)
| ~ q(s(X0))
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_449,c_463,c_417,c_415,c_419,c_441,c_449,c_927,c_1159]) ).
tcf(c_1256,negated_conjecture,
! [X0: $i] :
( q(X0)
| ~ rr(X0)
| ~ r(X0)
| ~ q(s(X0)) ),
inference(renaming,[status(thm)],[c_1255]) ).
tcf(c_1258,plain,
! [X0: $i] :
( ~ pp(X0)
| ~ q(X0)
| q(s(X0))
| p(X0) ),
inference(global_subsumption_just,[status(thm)],[c_447,c_464,c_447,c_864,c_1021,c_1143]) ).
tcf(c_1259,negated_conjecture,
! [X0: $i] :
( p(X0)
| q(s(X0))
| ~ q(X0)
| ~ pp(X0) ),
inference(renaming,[status(thm)],[c_1258]) ).
tcf(c_1263,plain,
! [X0: $i] :
( q(X0)
| ~ q(s(X0))
| ~ p(X0)
| ~ pp(X0) ),
inference(global_subsumption_just,[status(thm)],[c_445,c_463,c_417,c_445,c_1023,c_1150]) ).
tcf(c_1264,negated_conjecture,
! [X0: $i] :
( q(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ q(s(X0)) ),
inference(renaming,[status(thm)],[c_1263]) ).
tcf(c_1266,plain,
! [X0: $i] :
( r(X0)
| ~ q(X0)
| ~ rr(X0)
| q(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_443,c_464,c_443,c_864,c_1030,c_1152]) ).
tcf(c_1267,negated_conjecture,
! [X0: $i] :
( r(X0)
| q(s(X0))
| ~ rr(X0)
| ~ q(X0) ),
inference(renaming,[status(thm)],[c_1266]) ).
tcf(c_1271,plain,
! [X0: $i] :
( ~ qq(X0)
| ~ pp(s(X0))
| ~ rr(X0)
| pp(X0) ),
inference(global_subsumption_just,[status(thm)],[c_560,c_581,c_566,c_562,c_564,c_560,c_856,c_913]) ).
tcf(c_1272,negated_conjecture,
! [X0: $i] :
( pp(X0)
| ~ rr(X0)
| ~ qq(X0)
| ~ pp(s(X0)) ),
inference(renaming,[status(thm)],[c_1271]) ).
tcf(c_1275,plain,
! [X0: $i] :
( rr(X0)
| ~ qq(X0)
| ~ rr(s(X0))
| ~ pp(X0) ),
inference(global_subsumption_just,[status(thm)],[c_502,c_1227]) ).
tcf(c_1276,negated_conjecture,
! [X0: $i] :
( rr(X0)
| ~ qq(X0)
| ~ pp(X0)
| ~ rr(s(X0)) ),
inference(renaming,[status(thm)],[c_1275]) ).
tcf(c_1279,plain,
! [X0: $i] :
( ~ pp(X0)
| ~ qq(s(X0))
| ~ rr(X0)
| qq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_444,c_1253]) ).
tcf(c_1280,negated_conjecture,
! [X0: $i] :
( qq(X0)
| ~ rr(X0)
| ~ pp(X0)
| ~ qq(s(X0)) ),
inference(renaming,[status(thm)],[c_1279]) ).
tcf(c_7492,plain,
! [X0: $i] :
( ~ ar(s(X0))
| ~ aq(s(X0)) ),
inference(instantiation,[status(thm)],[c_320]) ).
tcf(c_7493,plain,
! [X0: $i] :
( ~ aq(s(X0))
| ~ ap(s(X0)) ),
inference(instantiation,[status(thm)],[c_318]) ).
tcf(c_7494,plain,
( ~ aq(s(a))
| ~ ap(s(a)) ),
inference(instantiation,[status(thm)],[c_7493]) ).
tcf(c_7495,plain,
( ~ ar(s(a))
| ~ aq(s(a)) ),
inference(instantiation,[status(thm)],[c_7492]) ).
tcf(c_7496,plain,
! [X0: $i] :
( ar(s(s(X0)))
| ~ aq(s(X0)) ),
inference(instantiation,[status(thm)],[c_409]) ).
tcf(c_7497,plain,
( ar(s(s(a)))
| ~ aq(s(a)) ),
inference(instantiation,[status(thm)],[c_7496]) ).
tcf(c_7498,plain,
! [X0: $i] :
( ~ r(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| ~ qq(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_941]) ).
tcf(c_7499,plain,
( ~ r(s(a))
| ~ p(s(a))
| ~ aq(s(a))
| ~ qq(s(s(a))) ),
inference(instantiation,[status(thm)],[c_7498]) ).
tcf(c_7500,plain,
! [X0: $i] :
( ~ r(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| ~ q(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_943]) ).
tcf(c_7501,plain,
( ~ r(s(a))
| ~ p(s(a))
| ~ aq(s(a))
| ~ q(s(s(a))) ),
inference(instantiation,[status(thm)],[c_7500]) ).
tcf(c_7502,plain,
! [X0: $i] :
( q(s(X0))
| ~ r(s(X0))
| ~ p(s(X0))
| ~ q(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_927]) ).
tcf(c_7503,plain,
! [X0: $i] :
( ~ rpq3(s(X0))
| ~ p(s(X0)) ),
inference(instantiation,[status(thm)],[c_394]) ).
tcf(c_7504,plain,
! [X0: $i] :
( ~ rpq1(s(X0))
| ~ p(s(X0)) ),
inference(instantiation,[status(thm)],[c_380]) ).
tcf(c_7506,plain,
! [X0: $i] :
( ~ qrp2(s(X0))
| ~ p(s(X0)) ),
inference(instantiation,[status(thm)],[c_361]) ).
tcf(c_7507,plain,
! [X0: $i] :
( ~ pqr4(s(X0))
| ~ p(s(X0)) ),
inference(instantiation,[status(thm)],[c_343]) ).
tcf(c_7514,plain,
! [X0: $i] :
( rr(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ q(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1071]) ).
tcf(c_7523,plain,
! [X0: $i] :
( q(s(X0))
| ~ qq(s(X0))
| ~ p(s(X0))
| ~ q(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1150]) ).
tcf(c_7533,plain,
! [X0: $i] :
( q(s(X0))
| ~ pp(s(X0))
| ~ p(s(X0))
| ~ q(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1264]) ).
tcf(c_7534,plain,
( q(s(a))
| ~ pp(s(a))
| ~ p(s(a))
| ~ q(s(s(a))) ),
inference(instantiation,[status(thm)],[c_7533]) ).
tcf(c_7535,plain,
! [X0: $i] :
( rr(s(X0))
| ~ qq(s(X0))
| ~ pp(s(X0))
| ~ rr(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1276]) ).
tcf(c_7536,plain,
! [X0: $i] :
( p(s(X0))
| q(s(s(X0)))
| ~ q(s(X0))
| ~ pp(s(X0)) ),
inference(instantiation,[status(thm)],[c_1259]) ).
tcf(c_7537,plain,
! [X0: $i] :
( p(s(X0))
| ~ q(s(X0))
| ~ pp(s(X0))
| ~ p(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1103]) ).
tcf(c_7538,plain,
! [X0: $i] :
( p(s(X0))
| ~ r(s(X0))
| ~ pp(s(X0))
| ~ p(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1094]) ).
tcf(c_7539,plain,
! [X0: $i] :
( ~ rpq4(s(X0))
| ~ pp(s(X0)) ),
inference(instantiation,[status(thm)],[c_402]) ).
tcf(c_7540,plain,
! [X0: $i] :
( ~ rpq3(s(X0))
| ~ pp(s(X0)) ),
inference(instantiation,[status(thm)],[c_395]) ).
tcf(c_7541,plain,
! [X0: $i] :
( ~ rpq2(s(X0))
| ~ pp(s(X0)) ),
inference(instantiation,[status(thm)],[c_388]) ).
tcf(c_7542,plain,
! [X0: $i] :
( ~ rpq1(s(X0))
| ~ pp(s(X0)) ),
inference(instantiation,[status(thm)],[c_381]) ).
tcf(c_7545,plain,
! [X0: $i] :
( ~ pqr4(s(X0))
| ~ pp(s(X0)) ),
inference(instantiation,[status(thm)],[c_344]) ).
tcf(c_7559,plain,
! [X0: $i] :
( q(s(X0))
| pp(s(X0))
| rr(s(s(X0)))
| ~ rr(s(X0))
| ~ r(s(X0))
| ~ p(s(X0)) ),
inference(instantiation,[status(thm)],[c_1051]) ).
tcf(c_7583,plain,
! [X0: $i] :
( q(s(X0))
| p(s(X0))
| ~ qq(s(X0))
| ~ pp(s(X0))
| ~ ap(s(X0))
| ~ pp(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1091]) ).
tcf(c_7585,plain,
! [X0: $i] :
( q(s(X0))
| p(s(X0))
| ~ qq(s(X0))
| ~ pp(s(X0))
| ~ aq(s(X0))
| ~ qq(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1156]) ).
tcf(c_7587,plain,
! [X0: $i] :
( q(s(X0))
| ~ rr(s(X0))
| ~ pp(s(X0))
| ~ p(s(X0))
| ~ ap(s(X0))
| ~ pp(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1169]) ).
tcf(c_7589,plain,
! [X0: $i] :
( p(s(X0))
| ~ rr(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ aq(s(X0))
| ~ qq(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1186]) ).
tcf(c_7590,plain,
( p(s(a))
| ~ rr(s(a))
| ~ qq(s(a))
| ~ q(s(a))
| ~ aq(s(a))
| ~ qq(s(s(a))) ),
inference(instantiation,[status(thm)],[c_7589]) ).
tcf(c_7591,plain,
! [X0: $i] :
( rq(s(X0))
| rpq2(s(X0))
| rpq1(s(X0))
| ~ rq(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_874]) ).
tcf(c_7592,plain,
! [X0: $i] :
( pr(s(X0))
| rq(s(X0))
| qp(s(X0)) ),
inference(instantiation,[status(thm)],[c_407]) ).
tcf(c_7595,plain,
! [X0: $i] :
( ap(s(X0))
| pp(s(s(X0)))
| ~ pp(s(X0)) ),
inference(instantiation,[status(thm)],[c_582]) ).
tcf(c_7596,plain,
! [X0: $i] :
( pp(s(X0))
| ap(s(X0))
| ~ pp(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_581]) ).
tcf(c_7597,plain,
! [X0: $i] :
( ap(s(X0))
| p(s(s(X0)))
| ~ p(s(X0)) ),
inference(instantiation,[status(thm)],[c_580]) ).
tcf(c_7598,plain,
! [X0: $i] :
( p(s(X0))
| ap(s(X0))
| ~ p(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_579]) ).
tcf(c_7600,plain,
! [X0: $i] :
( ap(s(X0))
| ~ rpq4(s(X0)) ),
inference(instantiation,[status(thm)],[c_405]) ).
tcf(c_7601,plain,
! [X0: $i] :
( ap(s(X0))
| ~ rpq3(s(X0)) ),
inference(instantiation,[status(thm)],[c_398]) ).
tcf(c_7603,plain,
! [X0: $i] :
( ap(s(X0))
| ~ rpq1(s(X0)) ),
inference(instantiation,[status(thm)],[c_384]) ).
tcf(c_7609,plain,
( p(s(a))
| ap(s(a))
| ~ p(s(s(a))) ),
inference(instantiation,[status(thm)],[c_7598]) ).
tcf(c_7610,plain,
( ap(s(a))
| p(s(s(a)))
| ~ p(s(a)) ),
inference(instantiation,[status(thm)],[c_7597]) ).
tcf(c_7611,plain,
( pp(s(a))
| ap(s(a))
| ~ pp(s(s(a))) ),
inference(instantiation,[status(thm)],[c_7596]) ).
tcf(c_7613,plain,
! [X0: $i] :
( rr(s(s(X0)))
| pp(s(s(X0)))
| p(s(s(X0)))
| qp(s(s(s(X0))))
| ~ r(s(s(X0)))
| ~ qq(s(s(X0)))
| ~ q(s(s(X0)))
| ~ ar(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_517]) ).
tcf(c_7614,plain,
! [X0: $i] :
( rr(s(s(X0)))
| pp(s(s(X0)))
| ~ qq(s(s(X0)))
| ~ q(s(s(X0)))
| ~ ar(s(s(X0)))
| ~ r(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1220]) ).
tcf(c_7615,plain,
! [X0: $i] :
( p(s(s(X0)))
| ~ rr(s(s(X0)))
| ~ r(s(s(X0)))
| ~ qq(s(s(X0)))
| ~ ar(s(s(X0)))
| ~ rr(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1179]) ).
tcf(c_7616,plain,
! [X0: $i] :
( q(s(s(X0)))
| ~ rr(s(s(X0)))
| ~ r(s(s(X0)))
| ~ pp(s(s(X0)))
| ~ ar(s(s(X0)))
| ~ rr(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1176]) ).
tcf(c_7617,plain,
! [X0: $i] :
( rr(s(s(X0)))
| q(s(s(X0)))
| pp(s(s(X0)))
| rr(s(s(s(X0))))
| ~ p(s(s(X0)))
| ~ ar(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1111]) ).
tcf(c_7618,plain,
! [X0: $i] :
( rr(s(s(X0)))
| pp(s(s(X0)))
| p(s(s(X0)))
| rr(s(s(s(X0))))
| ~ q(s(s(X0)))
| ~ ar(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1173]) ).
tcf(c_7619,plain,
! [X0: $i] :
( ~ q(s(s(X0)))
| ~ p(s(s(X0)))
| ~ ar(s(s(X0)))
| ~ r(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_938]) ).
tcf(c_7620,plain,
! [X0: $i] :
( ~ q(s(s(X0)))
| ~ p(s(s(X0)))
| ~ ar(s(s(X0)))
| ~ rr(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_936]) ).
tcf(c_7621,plain,
! [X0: $i] :
( q(s(s(X0)))
| p(s(s(X0)))
| ~ ar(s(s(X0)))
| ~ rr(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_897]) ).
tcf(c_7622,plain,
! [X0: $i] :
( ap(s(s(s(X0))))
| ~ ar(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_410]) ).
tcf(c_7623,plain,
! [X0: $i] :
( ~ ar(s(s(X0)))
| ~ ap(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_319]) ).
tcf(c_7624,plain,
( ~ ar(s(s(a)))
| ~ ap(s(s(a))) ),
inference(instantiation,[status(thm)],[c_7623]) ).
tcf(c_7625,plain,
( ap(s(s(s(a))))
| ~ ar(s(s(a))) ),
inference(instantiation,[status(thm)],[c_7622]) ).
tcf(c_7626,plain,
( q(s(s(a)))
| p(s(s(a)))
| ~ ar(s(s(a)))
| ~ rr(s(s(s(a)))) ),
inference(instantiation,[status(thm)],[c_7621]) ).
tcf(c_7627,plain,
( ~ q(s(s(a)))
| ~ p(s(s(a)))
| ~ ar(s(s(a)))
| ~ rr(s(s(s(a)))) ),
inference(instantiation,[status(thm)],[c_7620]) ).
tcf(c_7628,plain,
( ~ q(s(s(a)))
| ~ p(s(s(a)))
| ~ ar(s(s(a)))
| ~ r(s(s(s(a)))) ),
inference(instantiation,[status(thm)],[c_7619]) ).
tcf(c_7629,plain,
( rr(s(s(a)))
| pp(s(s(a)))
| p(s(s(a)))
| rr(s(s(s(a))))
| ~ q(s(s(a)))
| ~ ar(s(s(a))) ),
inference(instantiation,[status(thm)],[c_7618]) ).
tcf(c_7630,plain,
( rr(s(s(a)))
| q(s(s(a)))
| pp(s(s(a)))
| rr(s(s(s(a))))
| ~ p(s(s(a)))
| ~ ar(s(s(a))) ),
inference(instantiation,[status(thm)],[c_7617]) ).
tcf(c_7634,plain,
( rr(s(s(a)))
| pp(s(s(a)))
| p(s(s(a)))
| qp(s(s(s(a))))
| ~ r(s(s(a)))
| ~ qq(s(s(a)))
| ~ q(s(s(a)))
| ~ ar(s(s(a))) ),
inference(instantiation,[status(thm)],[c_7613]) ).
tcf(c_7635,plain,
! [X0: $i] :
( ~ ar(s(s(X0)))
| ~ aq(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_7492]) ).
tcf(c_7636,plain,
( ~ ar(s(s(a)))
| ~ aq(s(s(a))) ),
inference(instantiation,[status(thm)],[c_7635]) ).
tcf(c_7637,plain,
! [X0: $i] :
( rpq4(s(X0))
| rpq3(s(X0))
| rq(s(s(X0)))
| ~ rq(s(X0)) ),
inference(instantiation,[status(thm)],[c_880]) ).
tcf(c_7640,plain,
! [X0: $i] :
( qq(s(s(X0)))
| q(s(s(X0)))
| pp(s(s(X0)))
| rq(s(s(s(X0))))
| ~ rr(s(s(X0)))
| ~ r(s(s(X0)))
| ~ p(s(s(X0)))
| ~ ap(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_575]) ).
tcf(c_7641,plain,
! [X0: $i] :
( r(s(s(X0)))
| qq(s(s(X0)))
| pp(s(s(X0)))
| p(s(s(X0)))
| rq(s(s(s(X0))))
| ~ rr(s(s(X0)))
| ~ q(s(s(X0)))
| ~ ap(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_569]) ).
tcf(c_7642,plain,
! [X0: $i] :
( rr(s(s(X0)))
| qq(s(s(X0)))
| q(s(s(X0)))
| ~ r(s(s(X0)))
| ~ pp(s(s(X0)))
| ~ p(s(s(X0)))
| ~ ar(s(s(X0)))
| ~ qp(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_520]) ).
tcf(c_7643,plain,
! [X0: $i] :
( rr(s(s(X0)))
| r(s(s(X0)))
| qq(s(s(X0)))
| p(s(s(X0)))
| ~ q(s(s(X0)))
| ~ pp(s(s(X0)))
| ~ ar(s(s(X0)))
| ~ qp(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_514]) ).
tcf(c_7644,plain,
! [X0: $i] :
( qq(s(s(X0)))
| pp(s(s(X0)))
| p(s(s(X0)))
| ~ rr(s(s(X0)))
| ~ r(s(s(X0)))
| ~ q(s(s(X0)))
| ~ aq(s(s(X0)))
| ~ pr(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_462]) ).
tcf(c_7645,plain,
! [X0: $i] :
( rr(s(s(X0)))
| r(s(s(X0)))
| qq(s(s(X0)))
| pr(s(s(s(X0))))
| ~ q(s(s(X0)))
| ~ pp(s(s(X0)))
| ~ p(s(s(X0)))
| ~ aq(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_459]) ).
tcf(c_7646,plain,
! [X0: $i] :
( r(s(s(X0)))
| qq(s(s(X0)))
| q(s(s(X0)))
| pp(s(s(X0)))
| ~ rr(s(s(X0)))
| ~ p(s(s(X0)))
| ~ aq(s(s(X0)))
| ~ pr(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_456]) ).
tcf(c_7647,plain,
! [X0: $i] :
( rr(s(s(X0)))
| qq(s(s(X0)))
| ~ pp(s(s(X0)))
| ~ p(s(s(X0)))
| ~ aq(s(s(X0)))
| ~ q(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1247]) ).
tcf(c_7648,plain,
! [X0: $i] :
( qq(s(s(X0)))
| pp(s(s(X0)))
| ~ rr(s(s(X0)))
| ~ r(s(s(X0)))
| ~ aq(s(s(X0)))
| ~ q(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1244]) ).
tcf(c_7649,plain,
! [X0: $i] :
( rr(s(s(X0)))
| qq(s(s(X0)))
| q(s(s(X0)))
| p(s(s(X0)))
| pr(s(s(s(X0))))
| ~ r(s(s(X0)))
| ~ pp(s(s(X0)))
| ~ aq(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_453]) ).
tcf(c_7650,plain,
! [X0: $i] :
( rr(s(s(X0)))
| qq(s(s(X0)))
| ~ pp(s(s(X0)))
| ~ p(s(s(X0)))
| ~ ar(s(s(X0)))
| ~ r(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1217]) ).
tcf(c_7651,plain,
! [X0: $i] :
( qq(s(s(X0)))
| pp(s(s(X0)))
| ~ rr(s(s(X0)))
| ~ r(s(s(X0)))
| ~ ap(s(s(X0)))
| ~ p(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1195]) ).
tcf(c_7652,plain,
! [X0: $i] :
( rr(s(s(X0)))
| r(s(s(X0)))
| qq(s(s(X0)))
| qq(s(s(s(X0))))
| ~ p(s(s(X0)))
| ~ aq(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1183]) ).
tcf(c_7653,plain,
! [X0: $i] :
( qq(s(s(X0)))
| pp(s(s(X0)))
| p(s(s(X0)))
| qq(s(s(s(X0))))
| ~ r(s(s(X0)))
| ~ aq(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1182]) ).
tcf(c_7654,plain,
! [X0: $i] :
( qq(s(s(X0)))
| q(s(s(X0)))
| pp(s(s(X0)))
| pp(s(s(s(X0))))
| ~ r(s(s(X0)))
| ~ ap(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1164]) ).
tcf(c_7655,plain,
! [X0: $i] :
( rr(s(s(X0)))
| qq(s(s(X0)))
| p(s(s(X0)))
| q(s(s(s(X0))))
| ~ pp(s(s(X0)))
| ~ aq(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1141]) ).
tcf(c_7656,plain,
! [X0: $i] :
( rr(s(s(X0)))
| qq(s(s(X0)))
| p(s(s(X0)))
| qq(s(s(s(X0))))
| ~ r(s(s(X0)))
| ~ aq(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1139]) ).
tcf(c_7657,plain,
! [X0: $i] :
( r(s(s(X0)))
| qq(s(s(X0)))
| pp(s(s(X0)))
| q(s(s(s(X0))))
| ~ rr(s(s(X0)))
| ~ aq(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1136]) ).
tcf(c_7658,plain,
! [X0: $i] :
( r(s(s(X0)))
| qq(s(s(X0)))
| pp(s(s(X0)))
| qq(s(s(s(X0))))
| ~ p(s(s(X0)))
| ~ aq(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1134]) ).
tcf(c_7659,plain,
! [X0: $i] :
( rr(s(s(X0)))
| qq(s(s(X0)))
| p(s(s(X0)))
| r(s(s(s(X0))))
| ~ pp(s(s(X0)))
| ~ ar(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1108]) ).
tcf(c_7660,plain,
! [X0: $i] :
( rr(s(s(X0)))
| qq(s(s(X0)))
| p(s(s(X0)))
| rr(s(s(s(X0))))
| ~ q(s(s(X0)))
| ~ ar(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1106]) ).
tcf(c_7661,plain,
! [X0: $i] :
( rr(s(s(X0)))
| qq(s(s(X0)))
| q(s(s(X0)))
| rr(s(s(s(X0))))
| ~ p(s(s(X0)))
| ~ ar(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1171]) ).
tcf(c_7662,plain,
! [X0: $i] :
( r(s(s(X0)))
| qq(s(s(X0)))
| pp(s(s(X0)))
| p(s(s(s(X0))))
| ~ rr(s(s(X0)))
| ~ ap(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1085]) ).
tcf(c_7663,plain,
! [X0: $i] :
( r(s(s(X0)))
| qq(s(s(X0)))
| pp(s(s(X0)))
| pp(s(s(s(X0))))
| ~ q(s(s(X0)))
| ~ ap(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1083]) ).
tcf(c_7664,plain,
! [X0: $i] :
( qq(s(s(X0)))
| p(s(s(X0)))
| rr(s(s(s(X0))))
| ~ rr(s(s(X0)))
| ~ r(s(s(X0)))
| ~ q(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1058]) ).
tcf(c_7665,plain,
! [X0: $i] :
( r(s(s(X0)))
| qq(s(s(X0)))
| pp(s(s(s(X0))))
| ~ q(s(s(X0)))
| ~ pp(s(s(X0)))
| ~ p(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1037]) ).
tcf(c_7666,plain,
! [X0: $i] :
( r(s(s(X0)))
| qq(s(s(X0)))
| q(s(s(X0)))
| rr(s(s(s(X0))))
| ~ rr(s(s(X0)))
| ~ p(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_987]) ).
tcf(c_7667,plain,
! [X0: $i] :
( qq(s(s(X0)))
| ~ rr(s(s(X0)))
| ~ pp(s(s(X0)))
| ~ qq(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1280]) ).
tcf(c_7668,plain,
! [X0: $i] :
( qq(s(s(X0)))
| q(s(s(X0)))
| p(s(s(X0)))
| pp(s(s(s(X0))))
| ~ r(s(s(X0)))
| ~ pp(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_966]) ).
tcf(c_7669,plain,
! [X0: $i] :
( qq(s(s(X0)))
| p(s(s(X0)))
| r(s(s(s(X0))))
| ~ r(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1061]) ).
tcf(c_7670,plain,
! [X0: $i] :
( r(s(s(X0)))
| qq(s(s(X0)))
| ~ p(s(s(X0)))
| ~ r(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1049]) ).
tcf(c_7671,plain,
! [X0: $i] :
( qq(s(s(X0)))
| p(s(s(X0)))
| ~ r(s(s(X0)))
| ~ p(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1043]) ).
tcf(c_7672,plain,
! [X0: $i] :
( r(s(s(X0)))
| qq(s(s(X0)))
| p(s(s(s(X0))))
| ~ p(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1040]) ).
tcf(c_7673,plain,
! [X0: $i] :
( qq(s(s(X0)))
| aq(s(s(X0)))
| ~ qq(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_465]) ).
tcf(c_7674,plain,
! [X0: $i] :
( qq(s(s(X0)))
| ~ rpq4(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_404]) ).
tcf(c_7675,plain,
! [X0: $i] :
( qq(s(s(X0)))
| ~ rpq3(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_397]) ).
tcf(c_7682,plain,
( qq(s(s(a)))
| aq(s(s(a)))
| ~ qq(s(s(s(a)))) ),
inference(instantiation,[status(thm)],[c_7673]) ).
tcf(c_7685,plain,
( r(s(s(a)))
| qq(s(s(a)))
| ~ p(s(s(a)))
| ~ r(s(s(s(a)))) ),
inference(instantiation,[status(thm)],[c_7670]) ).
tcf(c_7686,plain,
( qq(s(s(a)))
| p(s(s(a)))
| r(s(s(s(a))))
| ~ r(s(s(a))) ),
inference(instantiation,[status(thm)],[c_7669]) ).
tcf(c_7689,plain,
( r(s(s(a)))
| qq(s(s(a)))
| q(s(s(a)))
| rr(s(s(s(a))))
| ~ rr(s(s(a)))
| ~ p(s(s(a))) ),
inference(instantiation,[status(thm)],[c_7666]) ).
tcf(c_7691,plain,
( qq(s(s(a)))
| p(s(s(a)))
| rr(s(s(s(a))))
| ~ rr(s(s(a)))
| ~ r(s(s(a)))
| ~ q(s(s(a))) ),
inference(instantiation,[status(thm)],[c_7664]) ).
tcf(c_7694,plain,
( rr(s(s(a)))
| qq(s(s(a)))
| q(s(s(a)))
| rr(s(s(s(a))))
| ~ p(s(s(a)))
| ~ ar(s(s(a))) ),
inference(instantiation,[status(thm)],[c_7661]) ).
tcf(c_7695,plain,
( rr(s(s(a)))
| qq(s(s(a)))
| p(s(s(a)))
| rr(s(s(s(a))))
| ~ q(s(s(a)))
| ~ ar(s(s(a))) ),
inference(instantiation,[status(thm)],[c_7660]) ).
tcf(c_7696,plain,
( rr(s(s(a)))
| qq(s(s(a)))
| p(s(s(a)))
| r(s(s(s(a))))
| ~ pp(s(s(a)))
| ~ ar(s(s(a))) ),
inference(instantiation,[status(thm)],[c_7659]) ).
tcf(c_7716,plain,
! [X0: $i] :
( rr(s(X0))
| p(s(X0))
| qq(s(s(X0)))
| ~ r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0)) ),
inference(instantiation,[status(thm)],[c_1065]) ).
tcf(c_7717,plain,
! [X0: $i] :
( q(s(X0))
| pp(s(X0))
| p(s(X0))
| qq(s(s(X0)))
| ~ r(s(X0))
| ~ qq(s(X0)) ),
inference(instantiation,[status(thm)],[c_1011]) ).
tcf(c_7718,plain,
! [X0: $i] :
( aq(s(X0))
| qq(s(s(X0)))
| ~ qq(s(X0)) ),
inference(instantiation,[status(thm)],[c_466]) ).
tcf(c_7820,plain,
! [X0: $i] :
( q(s(s(s(X0))))
| ~ rr(s(s(s(X0))))
| ~ pp(s(s(s(X0))))
| ~ p(s(s(s(X0))))
| ~ ap(s(s(s(X0))))
| ~ pp(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7587]) ).
tcf(c_7821,plain,
! [X0: $i] :
( ~ aq(s(s(s(X0))))
| ~ ap(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7493]) ).
tcf(c_7822,plain,
( ~ aq(s(s(s(a))))
| ~ ap(s(s(s(a)))) ),
inference(instantiation,[status(thm)],[c_7821]) ).
tcf(c_7823,plain,
( q(s(s(s(a))))
| ~ rr(s(s(s(a))))
| ~ pp(s(s(s(a))))
| ~ p(s(s(s(a))))
| ~ ap(s(s(s(a))))
| ~ pp(s(s(s(s(a))))) ),
inference(instantiation,[status(thm)],[c_7820]) ).
tcf(c_7833,plain,
! [X0: $i] :
( ~ ar(s(s(s(X0))))
| ~ ap(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7623]) ).
tcf(c_7834,plain,
( ~ ar(s(s(s(a))))
| ~ ap(s(s(s(a)))) ),
inference(instantiation,[status(thm)],[c_7833]) ).
tcf(c_8004,plain,
! [X0: $i] :
( aq(s(s(X0)))
| qq(s(s(s(X0))))
| ~ qq(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_7718]) ).
tcf(c_8006,plain,
! [X0: $i] :
( aq(s(s(X0)))
| ~ ap(s(X0)) ),
inference(instantiation,[status(thm)],[c_408]) ).
tcf(c_8009,plain,
( aq(s(s(a)))
| qq(s(s(s(a))))
| ~ qq(s(s(a))) ),
inference(instantiation,[status(thm)],[c_8004]) ).
tcf(c_8037,plain,
! [X0: $i] :
( rr(s(s(s(X0))))
| r(s(s(s(X0))))
| pp(s(s(s(X0))))
| ~ qq(s(s(s(X0))))
| ~ q(s(s(s(X0))))
| ~ p(s(s(s(X0))))
| ~ ap(s(s(s(X0))))
| ~ rq(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_578]) ).
tcf(c_8038,plain,
! [X0: $i] :
( rr(s(s(s(X0))))
| r(s(s(s(X0))))
| q(s(s(s(X0))))
| pp(s(s(s(X0))))
| qp(s(s(s(s(X0)))))
| ~ qq(s(s(s(X0))))
| ~ p(s(s(s(X0))))
| ~ ar(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_511]) ).
tcf(c_8039,plain,
! [X0: $i] :
( r(s(s(s(X0))))
| ~ qq(s(s(s(X0))))
| ~ q(s(s(s(X0))))
| ~ pp(s(s(s(X0))))
| ~ aq(s(s(s(X0))))
| ~ qq(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_1189]) ).
tcf(c_8040,plain,
! [X0: $i] :
( r(s(s(s(X0))))
| ~ qq(s(s(s(X0))))
| ~ pp(s(s(s(X0))))
| ~ p(s(s(s(X0))))
| ~ ap(s(s(s(X0))))
| ~ pp(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_1166]) ).
tcf(c_8041,plain,
! [X0: $i] :
( rr(s(s(s(X0))))
| r(s(s(s(X0))))
| pp(s(s(s(X0))))
| pp(s(s(s(s(X0)))))
| ~ q(s(s(s(X0))))
| ~ ap(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1162]) ).
tcf(c_8042,plain,
! [X0: $i] :
( r(s(s(s(X0))))
| q(s(s(s(X0))))
| ~ rr(s(s(s(X0))))
| ~ qq(s(s(s(X0))))
| ~ aq(s(s(s(X0))))
| ~ qq(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_1147]) ).
tcf(c_8043,plain,
! [X0: $i] :
( r(s(s(s(X0))))
| q(s(s(s(X0))))
| ~ rr(s(s(s(X0))))
| ~ qq(s(s(s(X0))))
| ~ ar(s(s(s(X0))))
| ~ rr(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_1128]) ).
tcf(c_8044,plain,
! [X0: $i] :
( r(s(s(s(X0))))
| p(s(s(s(X0))))
| ~ rr(s(s(s(X0))))
| ~ pp(s(s(s(X0))))
| ~ ar(s(s(s(X0))))
| ~ rr(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_1119]) ).
tcf(c_8045,plain,
! [X0: $i] :
( r(s(s(s(X0))))
| p(s(s(s(X0))))
| ~ rr(s(s(s(X0))))
| ~ pp(s(s(s(X0))))
| ~ ap(s(s(s(X0))))
| ~ pp(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_1100]) ).
tcf(c_8046,plain,
! [X0: $i] :
( r(s(s(s(X0))))
| pp(s(s(s(X0))))
| qq(s(s(s(s(X0)))))
| ~ qq(s(s(s(X0))))
| ~ q(s(s(s(X0))))
| ~ p(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1072]) ).
tcf(c_8047,plain,
! [X0: $i] :
( rr(s(s(s(X0))))
| r(s(s(s(X0))))
| q(s(s(s(X0))))
| qq(s(s(s(s(X0)))))
| ~ qq(s(s(s(X0))))
| ~ p(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1014]) ).
tcf(c_8048,plain,
! [X0: $i] :
( r(s(s(s(X0))))
| pp(s(s(s(X0))))
| p(s(s(s(X0))))
| rr(s(s(s(s(X0)))))
| ~ rr(s(s(s(X0))))
| ~ q(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_990]) ).
tcf(c_8049,plain,
! [X0: $i] :
( r(s(s(s(X0))))
| q(s(s(s(s(X0)))))
| ~ rr(s(s(s(X0))))
| ~ q(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1267]) ).
tcf(c_8050,plain,
! [X0: $i] :
( r(s(s(s(X0))))
| ~ qq(s(s(s(X0))))
| ~ q(s(s(s(X0))))
| ~ r(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_1238]) ).
tcf(c_8051,plain,
! [X0: $i] :
( rr(s(s(s(X0))))
| r(s(s(s(X0))))
| p(s(s(s(X0))))
| pp(s(s(s(s(X0)))))
| ~ q(s(s(s(X0))))
| ~ pp(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_963]) ).
tcf(c_8052,plain,
! [X0: $i] :
( r(s(s(s(X0))))
| ~ pp(s(s(s(X0))))
| ~ p(s(s(s(X0))))
| ~ r(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_1230]) ).
tcf(c_8053,plain,
! [X0: $i] :
( r(s(s(s(X0))))
| p(s(s(s(s(X0)))))
| ~ rr(s(s(s(X0))))
| ~ p(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1207]) ).
tcf(c_8054,plain,
! [X0: $i] :
( r(s(s(s(X0))))
| q(s(s(s(s(X0)))))
| ~ qq(s(s(s(X0))))
| ~ q(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1152]) ).
tcf(c_8055,plain,
! [X0: $i] :
( r(s(s(s(X0))))
| ~ rr(s(s(s(X0))))
| ~ p(s(s(s(X0))))
| ~ r(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_1131]) ).
tcf(c_8056,plain,
! [X0: $i] :
( r(s(s(s(X0))))
| ~ rr(s(s(s(X0))))
| ~ q(s(s(s(X0))))
| ~ r(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_1122]) ).
tcf(c_8057,plain,
! [X0: $i] :
( r(s(s(s(X0))))
| p(s(s(s(s(X0)))))
| ~ pp(s(s(s(X0))))
| ~ p(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1087]) ).
tcf(c_8058,plain,
! [X0: $i] :
( r(s(s(s(X0))))
| pp(s(s(s(X0))))
| q(s(s(s(s(X0)))))
| ~ q(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1075]) ).
tcf(c_8059,plain,
! [X0: $i] :
( r(s(s(s(X0))))
| pp(s(s(s(X0))))
| ~ q(s(s(s(X0))))
| ~ r(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_1056]) ).
tcf(c_8060,plain,
! [X0: $i] :
( r(s(s(s(X0))))
| ~ q(s(s(s(X0))))
| ~ p(s(s(s(X0))))
| ~ r(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_921]) ).
tcf(c_8061,plain,
! [X0: $i] :
( r(s(s(s(X0))))
| p(s(s(s(X0))))
| ~ aq(s(s(s(X0))))
| ~ qq(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_911]) ).
tcf(c_8062,plain,
! [X0: $i] :
( r(s(s(s(X0))))
| q(s(s(s(X0))))
| ~ ap(s(s(s(X0))))
| ~ pp(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_883]) ).
tcf(c_8064,plain,
! [X0: $i] :
( r(s(s(s(X0))))
| p(s(s(s(X0))))
| q(s(s(s(s(X0)))))
| ~ aq(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_850]) ).
tcf(c_8065,plain,
! [X0: $i] :
( r(s(s(s(X0))))
| q(s(s(s(X0))))
| p(s(s(s(s(X0)))))
| ~ ap(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_844]) ).
tcf(c_8066,plain,
! [X0: $i] :
( r(s(s(s(X0))))
| q(s(s(s(X0))))
| p(s(s(s(s(X0)))))
| ~ p(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_852]) ).
tcf(c_8067,plain,
! [X0: $i] :
( r(s(s(s(X0))))
| ar(s(s(s(X0))))
| ~ r(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_521]) ).
tcf(c_8069,plain,
! [X0: $i] :
( r(s(s(s(X0))))
| ~ rpq2(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_385]) ).
tcf(c_8071,plain,
! [X0: $i] :
( r(s(s(s(X0))))
| ~ qrp2(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_359]) ).
tcf(c_8072,plain,
! [X0: $i] :
( r(s(s(s(X0))))
| ~ pqr4(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_347]) ).
tcf(c_8080,plain,
( r(s(s(s(a))))
| ar(s(s(s(a))))
| ~ r(s(s(s(s(a))))) ),
inference(instantiation,[status(thm)],[c_8067]) ).
tcf(c_8082,plain,
( r(s(s(s(a))))
| q(s(s(s(a))))
| p(s(s(s(s(a)))))
| ~ ap(s(s(s(a)))) ),
inference(instantiation,[status(thm)],[c_8065]) ).
tcf(c_8085,plain,
( r(s(s(s(a))))
| q(s(s(s(a))))
| ~ ap(s(s(s(a))))
| ~ pp(s(s(s(s(a))))) ),
inference(instantiation,[status(thm)],[c_8062]) ).
tcf(c_8090,plain,
( r(s(s(s(a))))
| p(s(s(s(s(a)))))
| ~ pp(s(s(s(a))))
| ~ p(s(s(s(a)))) ),
inference(instantiation,[status(thm)],[c_8057]) ).
tcf(c_8094,plain,
( r(s(s(s(a))))
| p(s(s(s(s(a)))))
| ~ rr(s(s(s(a))))
| ~ p(s(s(s(a)))) ),
inference(instantiation,[status(thm)],[c_8053]) ).
tcf(c_8096,plain,
( rr(s(s(s(a))))
| r(s(s(s(a))))
| p(s(s(s(a))))
| pp(s(s(s(s(a)))))
| ~ q(s(s(s(a))))
| ~ pp(s(s(s(a)))) ),
inference(instantiation,[status(thm)],[c_8051]) ).
tcf(c_8102,plain,
( r(s(s(s(a))))
| p(s(s(s(a))))
| ~ rr(s(s(s(a))))
| ~ pp(s(s(s(a))))
| ~ ap(s(s(s(a))))
| ~ pp(s(s(s(s(a))))) ),
inference(instantiation,[status(thm)],[c_8045]) ).
tcf(c_8106,plain,
( rr(s(s(s(a))))
| r(s(s(s(a))))
| pp(s(s(s(a))))
| pp(s(s(s(s(a)))))
| ~ q(s(s(s(a))))
| ~ ap(s(s(s(a)))) ),
inference(instantiation,[status(thm)],[c_8041]) ).
tcf(c_8107,plain,
( r(s(s(s(a))))
| ~ qq(s(s(s(a))))
| ~ pp(s(s(s(a))))
| ~ p(s(s(s(a))))
| ~ ap(s(s(s(a))))
| ~ pp(s(s(s(s(a))))) ),
inference(instantiation,[status(thm)],[c_8040]) ).
tcf(c_8111,plain,
! [X0: $i] :
( rr(s(s(X0)))
| q(s(s(X0)))
| pp(s(s(X0)))
| r(s(s(s(X0))))
| ~ qq(s(s(X0)))
| ~ ar(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1113]) ).
tcf(c_8112,plain,
! [X0: $i] :
( p(s(s(X0)))
| r(s(s(s(X0))))
| ~ r(s(s(X0)))
| ~ pp(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1241]) ).
tcf(c_8113,plain,
! [X0: $i] :
( q(s(s(X0)))
| r(s(s(s(X0))))
| ~ r(s(s(X0)))
| ~ qq(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1233]) ).
tcf(c_8114,plain,
! [X0: $i] :
( p(s(s(X0)))
| r(s(s(s(X0))))
| ~ rr(s(s(X0)))
| ~ r(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1124]) ).
tcf(c_8115,plain,
! [X0: $i] :
( q(s(s(X0)))
| r(s(s(s(X0))))
| ~ rr(s(s(X0)))
| ~ r(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1115]) ).
tcf(c_8116,plain,
! [X0: $i] :
( q(s(s(X0)))
| pp(s(s(X0)))
| r(s(s(s(X0))))
| ~ r(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1054]) ).
tcf(c_8117,plain,
! [X0: $i] :
( q(s(s(X0)))
| p(s(s(X0)))
| r(s(s(s(X0))))
| ~ ar(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_847]) ).
tcf(c_8118,plain,
! [X0: $i] :
( q(s(s(X0)))
| p(s(s(X0)))
| r(s(s(s(X0))))
| ~ r(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_858]) ).
tcf(c_8119,plain,
! [X0: $i] :
( ar(s(s(X0)))
| r(s(s(s(X0))))
| ~ r(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_522]) ).
tcf(c_8122,plain,
( q(s(s(a)))
| p(s(s(a)))
| r(s(s(s(a))))
| ~ ar(s(s(a))) ),
inference(instantiation,[status(thm)],[c_8117]) ).
tcf(c_8124,plain,
( q(s(s(a)))
| r(s(s(s(a))))
| ~ rr(s(s(a)))
| ~ r(s(s(a))) ),
inference(instantiation,[status(thm)],[c_8115]) ).
tcf(c_8125,plain,
( p(s(s(a)))
| r(s(s(s(a))))
| ~ rr(s(s(a)))
| ~ r(s(s(a))) ),
inference(instantiation,[status(thm)],[c_8114]) ).
tcf(c_8127,plain,
( p(s(s(a)))
| r(s(s(s(a))))
| ~ r(s(s(a)))
| ~ pp(s(s(a))) ),
inference(instantiation,[status(thm)],[c_8112]) ).
tcf(c_8129,plain,
! [X0: $i] :
( r(s(s(s(X0))))
| qq(s(s(s(X0))))
| p(s(s(s(s(X0)))))
| ~ p(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7672]) ).
tcf(c_8130,plain,
! [X0: $i] :
( r(s(s(s(X0))))
| qq(s(s(s(X0))))
| ~ p(s(s(s(X0))))
| ~ r(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7670]) ).
tcf(c_8132,plain,
( r(s(s(s(a))))
| qq(s(s(s(a))))
| p(s(s(s(s(a)))))
| ~ p(s(s(s(a)))) ),
inference(instantiation,[status(thm)],[c_8129]) ).
tcf(c_8146,plain,
! [X0: $i] :
( rr(s(s(s(X0))))
| r(s(s(s(X0))))
| qq(s(s(s(X0))))
| qq(s(s(s(s(X0)))))
| ~ p(s(s(s(X0))))
| ~ aq(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7652]) ).
tcf(c_8242,plain,
! [X0: $i] :
( pp(s(s(s(X0))))
| ~ rr(s(s(s(X0))))
| ~ qq(s(s(s(X0))))
| ~ pp(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_1272]) ).
tcf(c_8243,plain,
! [X0: $i] :
( q(s(s(s(X0))))
| ~ rr(s(s(s(X0))))
| ~ r(s(s(s(X0))))
| ~ q(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_1256]) ).
tcf(c_8244,plain,
! [X0: $i] :
( p(s(s(s(X0))))
| ~ rr(s(s(s(X0))))
| ~ r(s(s(s(X0))))
| ~ p(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_1211]) ).
tcf(c_8245,plain,
! [X0: $i] :
( ar(s(s(s(X0))))
| rr(s(s(s(s(X0)))))
| ~ rr(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_524]) ).
tcf(c_8249,plain,
! [X0: $i] :
( ~ qrp3(s(s(s(X0))))
| ~ rr(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_367]) ).
tcf(c_8250,plain,
! [X0: $i] :
( ~ qrp2(s(s(s(X0))))
| ~ rr(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_360]) ).
tcf(c_8251,plain,
! [X0: $i] :
( ~ qrp1(s(s(s(X0))))
| ~ rr(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_353]) ).
tcf(c_8256,plain,
( ~ qrp3(s(s(s(a))))
| ~ rr(s(s(s(a)))) ),
inference(instantiation,[status(thm)],[c_8249]) ).
tcf(c_8260,plain,
( ar(s(s(s(a))))
| rr(s(s(s(s(a)))))
| ~ rr(s(s(s(a)))) ),
inference(instantiation,[status(thm)],[c_8245]) ).
tcf(c_8261,plain,
( p(s(s(s(a))))
| ~ rr(s(s(s(a))))
| ~ r(s(s(s(a))))
| ~ p(s(s(s(s(a))))) ),
inference(instantiation,[status(thm)],[c_8244]) ).
tcf(c_8263,plain,
( pp(s(s(s(a))))
| ~ rr(s(s(s(a))))
| ~ qq(s(s(s(a))))
| ~ pp(s(s(s(s(a))))) ),
inference(instantiation,[status(thm)],[c_8242]) ).
tcf(c_8264,plain,
! [X0: $i] :
( rr(s(s(X0)))
| ar(s(s(X0)))
| ~ rr(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_523]) ).
tcf(c_8266,plain,
! [X0: $i] :
( q(s(s(s(X0))))
| ~ rr(s(s(s(X0))))
| ~ r(s(s(s(X0))))
| ~ pp(s(s(s(X0))))
| ~ ar(s(s(s(X0))))
| ~ rr(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7616]) ).
tcf(c_8267,plain,
! [X0: $i] :
( qq(s(s(s(X0))))
| ~ rr(s(s(s(X0))))
| ~ pp(s(s(s(X0))))
| ~ qq(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7667]) ).
tcf(c_8268,plain,
! [X0: $i] :
( rr(s(s(X0)))
| ~ qq(s(s(X0)))
| ~ pp(s(s(X0)))
| ~ rr(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7535]) ).
tcf(c_8309,plain,
! [X0: $i] :
( r(s(s(s(X0))))
| qq(s(s(s(X0))))
| pp(s(s(s(s(X0)))))
| ~ q(s(s(s(X0))))
| ~ pp(s(s(s(X0))))
| ~ p(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7665]) ).
tcf(c_8310,plain,
( r(s(s(s(a))))
| qq(s(s(s(a))))
| pp(s(s(s(s(a)))))
| ~ q(s(s(s(a))))
| ~ pp(s(s(s(a))))
| ~ p(s(s(s(a)))) ),
inference(instantiation,[status(thm)],[c_8309]) ).
tcf(c_8311,plain,
! [X0: $i] :
( r(s(s(s(X0))))
| qq(s(s(s(X0))))
| q(s(s(s(X0))))
| rr(s(s(s(s(X0)))))
| ~ rr(s(s(s(X0))))
| ~ p(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7666]) ).
tcf(c_8403,plain,
! [X0: $i] :
( qp(s(s(s(X0))))
| qrp2(s(s(s(X0))))
| qrp1(s(s(s(X0))))
| ~ qp(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_888]) ).
tcf(c_8406,plain,
! [X0: $i] :
( pr(s(s(s(X0))))
| rq(s(s(s(X0))))
| qp(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7592]) ).
tcf(c_8420,plain,
! [X0: $i] :
( rr(s(s(s(X0))))
| r(s(s(s(X0))))
| qq(s(s(s(X0))))
| pr(s(s(s(s(X0)))))
| ~ q(s(s(s(X0))))
| ~ pp(s(s(s(X0))))
| ~ p(s(s(s(X0))))
| ~ aq(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7645]) ).
tcf(c_8444,plain,
! [X0: $i] :
( aq(s(s(s(s(X0)))))
| ~ ap(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_8006]) ).
tcf(c_8445,plain,
( aq(s(s(s(s(a)))))
| ~ ap(s(s(s(a)))) ),
inference(instantiation,[status(thm)],[c_8444]) ).
tcf(c_8539,plain,
! [X0: $i] :
( q(s(s(s(X0))))
| pp(s(s(s(X0))))
| p(s(s(s(X0))))
| qq(s(s(s(s(X0)))))
| ~ r(s(s(s(X0))))
| ~ qq(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7717]) ).
tcf(c_8540,plain,
! [X0: $i] :
( rr(s(s(s(X0))))
| p(s(s(s(X0))))
| qq(s(s(s(s(X0)))))
| ~ r(s(s(s(X0))))
| ~ qq(s(s(s(X0))))
| ~ q(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7716]) ).
tcf(c_8541,plain,
! [X0: $i] :
( p(s(s(s(X0))))
| ap(s(s(s(X0))))
| ~ p(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7598]) ).
tcf(c_8542,plain,
! [X0: $i] :
( p(s(s(s(X0))))
| ~ rr(s(s(s(X0))))
| ~ qq(s(s(s(X0))))
| ~ q(s(s(s(X0))))
| ~ aq(s(s(s(X0))))
| ~ qq(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7589]) ).
tcf(c_8543,plain,
! [X0: $i] :
( q(s(s(s(X0))))
| p(s(s(s(X0))))
| ~ qq(s(s(s(X0))))
| ~ pp(s(s(s(X0))))
| ~ aq(s(s(s(X0))))
| ~ qq(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7585]) ).
tcf(c_8544,plain,
! [X0: $i] :
( q(s(s(s(X0))))
| p(s(s(s(X0))))
| ~ qq(s(s(s(X0))))
| ~ pp(s(s(s(X0))))
| ~ ap(s(s(s(X0))))
| ~ pp(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7583]) ).
tcf(c_8545,plain,
! [X0: $i] :
( p(s(s(s(X0))))
| ~ r(s(s(s(X0))))
| ~ pp(s(s(s(X0))))
| ~ p(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7538]) ).
tcf(c_8546,plain,
! [X0: $i] :
( p(s(s(s(X0))))
| ~ q(s(s(s(X0))))
| ~ pp(s(s(s(X0))))
| ~ p(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7537]) ).
tcf(c_8547,plain,
! [X0: $i] :
( p(s(s(s(X0))))
| q(s(s(s(s(X0)))))
| ~ q(s(s(s(X0))))
| ~ pp(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7536]) ).
tcf(c_8548,plain,
! [X0: $i] :
( rr(s(s(X0)))
| q(s(s(X0)))
| pp(s(s(X0)))
| p(s(s(s(X0))))
| ~ qq(s(s(X0)))
| ~ ap(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1080]) ).
tcf(c_8549,plain,
! [X0: $i] :
( q(s(s(X0)))
| p(s(s(s(X0))))
| ~ qq(s(s(X0)))
| ~ p(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1215]) ).
tcf(c_8550,plain,
! [X0: $i] :
( q(s(s(X0)))
| p(s(s(s(X0))))
| ~ pp(s(s(X0)))
| ~ p(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1096]) ).
tcf(c_8551,plain,
! [X0: $i] :
( rr(s(s(X0)))
| q(s(s(X0)))
| p(s(s(s(X0))))
| ~ p(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1047]) ).
tcf(c_8557,plain,
( p(s(s(s(a))))
| ~ q(s(s(s(a))))
| ~ pp(s(s(s(a))))
| ~ p(s(s(s(s(a))))) ),
inference(instantiation,[status(thm)],[c_8546]) ).
tcf(c_8565,plain,
! [X0: $i] :
( qq(s(s(s(X0))))
| pp(s(s(s(X0))))
| p(s(s(s(X0))))
| ~ rr(s(s(s(X0))))
| ~ r(s(s(s(X0))))
| ~ q(s(s(s(X0))))
| ~ aq(s(s(s(X0))))
| ~ pr(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7644]) ).
tcf(c_8566,plain,
! [X0: $i] :
( rr(s(s(s(X0))))
| r(s(s(s(X0))))
| qq(s(s(s(X0))))
| p(s(s(s(X0))))
| ~ q(s(s(s(X0))))
| ~ pp(s(s(s(X0))))
| ~ ar(s(s(s(X0))))
| ~ qp(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7643]) ).
tcf(c_8567,plain,
! [X0: $i] :
( rr(s(s(s(X0))))
| qq(s(s(s(X0))))
| q(s(s(s(X0))))
| p(s(s(s(X0))))
| pr(s(s(s(s(X0)))))
| ~ r(s(s(s(X0))))
| ~ pp(s(s(s(X0))))
| ~ aq(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7649]) ).
tcf(c_8568,plain,
! [X0: $i] :
( r(s(s(s(X0))))
| qq(s(s(s(X0))))
| pp(s(s(s(X0))))
| p(s(s(s(X0))))
| rq(s(s(s(s(X0)))))
| ~ rr(s(s(s(X0))))
| ~ q(s(s(s(X0))))
| ~ ap(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7641]) ).
tcf(c_8569,plain,
! [X0: $i] :
( rr(s(s(s(X0))))
| pp(s(s(s(X0))))
| p(s(s(s(X0))))
| qp(s(s(s(s(X0)))))
| ~ r(s(s(s(X0))))
| ~ qq(s(s(s(X0))))
| ~ q(s(s(s(X0))))
| ~ ar(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7613]) ).
tcf(c_8570,plain,
! [X0: $i] :
( qq(s(s(s(X0))))
| q(s(s(s(X0))))
| p(s(s(s(X0))))
| pp(s(s(s(s(X0)))))
| ~ r(s(s(s(X0))))
| ~ pp(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7668]) ).
tcf(c_8571,plain,
! [X0: $i] :
( qq(s(s(s(X0))))
| p(s(s(s(X0))))
| rr(s(s(s(s(X0)))))
| ~ rr(s(s(s(X0))))
| ~ r(s(s(s(X0))))
| ~ q(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7664]) ).
tcf(c_8572,plain,
! [X0: $i] :
( rr(s(s(s(X0))))
| qq(s(s(s(X0))))
| p(s(s(s(X0))))
| rr(s(s(s(s(X0)))))
| ~ q(s(s(s(X0))))
| ~ ar(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7660]) ).
tcf(c_8573,plain,
! [X0: $i] :
( rr(s(s(s(X0))))
| qq(s(s(s(X0))))
| p(s(s(s(X0))))
| r(s(s(s(s(X0)))))
| ~ pp(s(s(s(X0))))
| ~ ar(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7659]) ).
tcf(c_8574,plain,
! [X0: $i] :
( rr(s(s(s(X0))))
| qq(s(s(s(X0))))
| p(s(s(s(X0))))
| qq(s(s(s(s(X0)))))
| ~ r(s(s(s(X0))))
| ~ aq(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7656]) ).
tcf(c_8575,plain,
! [X0: $i] :
( rr(s(s(s(X0))))
| qq(s(s(s(X0))))
| p(s(s(s(X0))))
| q(s(s(s(s(X0)))))
| ~ pp(s(s(s(X0))))
| ~ aq(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7655]) ).
tcf(c_8576,plain,
! [X0: $i] :
( qq(s(s(s(X0))))
| pp(s(s(s(X0))))
| p(s(s(s(X0))))
| qq(s(s(s(s(X0)))))
| ~ r(s(s(s(X0))))
| ~ aq(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7653]) ).
tcf(c_8577,plain,
! [X0: $i] :
( rr(s(s(s(X0))))
| pp(s(s(s(X0))))
| p(s(s(s(X0))))
| rr(s(s(s(s(X0)))))
| ~ q(s(s(s(X0))))
| ~ ar(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7618]) ).
tcf(c_8578,plain,
! [X0: $i] :
( p(s(s(s(X0))))
| ~ rr(s(s(s(X0))))
| ~ r(s(s(s(X0))))
| ~ qq(s(s(s(X0))))
| ~ ar(s(s(s(X0))))
| ~ rr(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7615]) ).
tcf(c_8579,plain,
! [X0: $i] :
( qq(s(s(s(X0))))
| p(s(s(s(X0))))
| ~ r(s(s(s(X0))))
| ~ p(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7671]) ).
tcf(c_8580,plain,
! [X0: $i] :
( qq(s(s(s(X0))))
| p(s(s(s(X0))))
| r(s(s(s(s(X0)))))
| ~ r(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7669]) ).
tcf(c_8581,plain,
! [X0: $i] :
( q(s(s(s(X0))))
| p(s(s(s(X0))))
| ~ ar(s(s(s(X0))))
| ~ rr(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7621]) ).
tcf(c_8582,plain,
! [X0: $i] :
( ap(s(s(X0)))
| p(s(s(s(X0))))
| ~ p(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_7597]) ).
tcf(c_8583,plain,
( ap(s(s(a)))
| p(s(s(s(a))))
| ~ p(s(s(a))) ),
inference(instantiation,[status(thm)],[c_8582]) ).
tcf(c_8597,plain,
( r(s(s(s(a))))
| qq(s(s(s(a))))
| pp(s(s(s(a))))
| p(s(s(s(a))))
| rq(s(s(s(s(a)))))
| ~ rr(s(s(s(a))))
| ~ q(s(s(s(a))))
| ~ ap(s(s(s(a)))) ),
inference(instantiation,[status(thm)],[c_8568]) ).
tcf(c_8604,plain,
! [X0: $i] :
( rr(s(s(s(X0))))
| ar(s(s(s(X0))))
| ~ rr(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8264]) ).
tcf(c_8605,plain,
! [X0: $i] :
( ar(s(s(s(X0))))
| r(s(s(s(s(X0)))))
| ~ r(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_8119]) ).
tcf(c_8606,plain,
! [X0: $i] :
( ar(s(s(s(X0))))
| ~ aq(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_7496]) ).
tcf(c_8608,plain,
( ar(s(s(s(a))))
| r(s(s(s(s(a)))))
| ~ r(s(s(s(a)))) ),
inference(instantiation,[status(thm)],[c_8605]) ).
tcf(c_8609,plain,
( rr(s(s(s(a))))
| ar(s(s(s(a))))
| ~ rr(s(s(s(s(a))))) ),
inference(instantiation,[status(thm)],[c_8604]) ).
tcf(c_8621,plain,
! [X0: $i] :
( r(s(s(s(s(X0)))))
| ~ pp(s(s(s(s(X0)))))
| ~ p(s(s(s(s(X0)))))
| ~ r(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8052]) ).
tcf(c_8700,plain,
! [X0: $i] :
( r(s(s(s(s(X0)))))
| ~ q(s(s(s(s(X0)))))
| ~ p(s(s(s(s(X0)))))
| ~ r(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8060]) ).
tcf(c_8705,plain,
! [X0: $i] :
( pp(s(s(s(s(X0)))))
| ap(s(s(s(s(X0)))))
| ~ pp(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7596]) ).
tcf(c_8706,plain,
! [X0: $i] :
( q(s(s(s(s(X0)))))
| pp(s(s(s(s(X0)))))
| rr(s(s(s(s(s(X0))))))
| ~ rr(s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))))
| ~ p(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7559]) ).
tcf(c_8707,plain,
! [X0: $i] :
( rr(s(s(s(X0))))
| q(s(s(s(X0))))
| pp(s(s(s(X0))))
| pp(s(s(s(s(X0)))))
| ~ r(s(s(s(X0))))
| ~ ap(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1078]) ).
tcf(c_8712,plain,
( pp(s(s(s(s(a)))))
| ap(s(s(s(s(a)))))
| ~ pp(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_8705]) ).
tcf(c_8713,plain,
! [X0: $i] :
( r(s(s(s(s(X0)))))
| qq(s(s(s(s(X0)))))
| q(s(s(s(s(X0)))))
| pp(s(s(s(s(X0)))))
| ~ rr(s(s(s(s(X0)))))
| ~ p(s(s(s(s(X0)))))
| ~ aq(s(s(s(s(X0)))))
| ~ pr(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7646]) ).
tcf(c_8714,plain,
! [X0: $i] :
( qq(s(s(s(s(X0)))))
| q(s(s(s(s(X0)))))
| pp(s(s(s(s(X0)))))
| rq(s(s(s(s(s(X0))))))
| ~ rr(s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))))
| ~ p(s(s(s(s(X0)))))
| ~ ap(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7640]) ).
tcf(c_8715,plain,
! [X0: $i] :
( r(s(s(s(s(X0)))))
| qq(s(s(s(s(X0)))))
| pp(s(s(s(s(X0)))))
| pp(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(X0)))))
| ~ ap(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7663]) ).
tcf(c_8716,plain,
! [X0: $i] :
( r(s(s(s(s(X0)))))
| qq(s(s(s(s(X0)))))
| pp(s(s(s(s(X0)))))
| p(s(s(s(s(s(X0))))))
| ~ rr(s(s(s(s(X0)))))
| ~ ap(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7662]) ).
tcf(c_8717,plain,
! [X0: $i] :
( r(s(s(s(s(X0)))))
| qq(s(s(s(s(X0)))))
| pp(s(s(s(s(X0)))))
| qq(s(s(s(s(s(X0))))))
| ~ p(s(s(s(s(X0)))))
| ~ aq(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7658]) ).
tcf(c_8718,plain,
! [X0: $i] :
( r(s(s(s(s(X0)))))
| qq(s(s(s(s(X0)))))
| pp(s(s(s(s(X0)))))
| q(s(s(s(s(s(X0))))))
| ~ rr(s(s(s(s(X0)))))
| ~ aq(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7657]) ).
tcf(c_8719,plain,
! [X0: $i] :
( qq(s(s(s(s(X0)))))
| q(s(s(s(s(X0)))))
| pp(s(s(s(s(X0)))))
| pp(s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(X0)))))
| ~ ap(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7654]) ).
tcf(c_8720,plain,
! [X0: $i] :
( qq(s(s(s(s(X0)))))
| pp(s(s(s(s(X0)))))
| ~ rr(s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))))
| ~ ap(s(s(s(s(X0)))))
| ~ p(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7651]) ).
tcf(c_8721,plain,
! [X0: $i] :
( qq(s(s(s(s(X0)))))
| pp(s(s(s(s(X0)))))
| ~ rr(s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))))
| ~ aq(s(s(s(s(X0)))))
| ~ q(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7648]) ).
tcf(c_8722,plain,
! [X0: $i] :
( rr(s(s(s(s(X0)))))
| q(s(s(s(s(X0)))))
| pp(s(s(s(s(X0)))))
| rr(s(s(s(s(s(X0))))))
| ~ p(s(s(s(s(X0)))))
| ~ ar(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7617]) ).
tcf(c_8723,plain,
! [X0: $i] :
( rr(s(s(s(s(X0)))))
| pp(s(s(s(s(X0)))))
| ~ qq(s(s(s(s(X0)))))
| ~ q(s(s(s(s(X0)))))
| ~ ar(s(s(s(s(X0)))))
| ~ r(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7614]) ).
tcf(c_8724,plain,
! [X0: $i] :
( ap(s(s(s(X0))))
| pp(s(s(s(s(X0)))))
| ~ pp(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7595]) ).
tcf(c_8728,plain,
( qq(s(s(s(s(a)))))
| pp(s(s(s(s(a)))))
| ~ rr(s(s(s(s(a)))))
| ~ r(s(s(s(s(a)))))
| ~ aq(s(s(s(s(a)))))
| ~ q(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_8721]) ).
tcf(c_8731,plain,
( r(s(s(s(s(a)))))
| qq(s(s(s(s(a)))))
| pp(s(s(s(s(a)))))
| q(s(s(s(s(s(a))))))
| ~ rr(s(s(s(s(a)))))
| ~ aq(s(s(s(s(a))))) ),
inference(instantiation,[status(thm)],[c_8718]) ).
tcf(c_8732,plain,
( r(s(s(s(s(a)))))
| qq(s(s(s(s(a)))))
| pp(s(s(s(s(a)))))
| qq(s(s(s(s(s(a))))))
| ~ p(s(s(s(s(a)))))
| ~ aq(s(s(s(s(a))))) ),
inference(instantiation,[status(thm)],[c_8717]) ).
tcf(c_8736,plain,
( r(s(s(s(s(a)))))
| qq(s(s(s(s(a)))))
| q(s(s(s(s(a)))))
| pp(s(s(s(s(a)))))
| ~ rr(s(s(s(s(a)))))
| ~ p(s(s(s(s(a)))))
| ~ aq(s(s(s(s(a)))))
| ~ pr(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_8713]) ).
tcf(c_8779,plain,
! [X0: $i] :
( p(s(s(s(X0))))
| r(s(s(s(s(X0)))))
| ~ r(s(s(s(X0))))
| ~ pp(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_8112]) ).
tcf(c_8833,plain,
! [X0: $i] :
( p(s(s(s(X0))))
| r(s(s(s(s(X0)))))
| ~ rr(s(s(s(X0))))
| ~ r(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_8114]) ).
tcf(c_8835,plain,
! [X0: $i] :
( q(s(s(s(X0))))
| r(s(s(s(s(X0)))))
| ~ rr(s(s(s(X0))))
| ~ r(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_8115]) ).
tcf(c_8851,plain,
! [X0: $i] :
( q(s(s(s(s(X0)))))
| pp(s(s(s(s(X0)))))
| r(s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8116]) ).
tcf(c_8864,plain,
! [X0: $i] :
( q(s(s(s(X0))))
| p(s(s(s(X0))))
| r(s(s(s(s(X0)))))
| ~ ar(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_8117]) ).
tcf(c_8888,plain,
! [X0: $i] :
( r(s(s(s(X0))))
| qq(s(s(s(X0))))
| pp(s(s(s(X0))))
| pp(s(s(s(s(X0)))))
| ~ q(s(s(s(X0))))
| ~ ap(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7663]) ).
tcf(c_8889,plain,
! [X0: $i] :
( r(s(s(s(X0))))
| qq(s(s(s(X0))))
| pp(s(s(s(X0))))
| p(s(s(s(s(X0)))))
| ~ rr(s(s(s(X0))))
| ~ ap(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7662]) ).
tcf(c_8893,plain,
! [X0: $i] :
( qq(s(s(s(X0))))
| pp(s(s(s(X0))))
| ~ rr(s(s(s(X0))))
| ~ r(s(s(s(X0))))
| ~ ap(s(s(s(X0))))
| ~ p(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7651]) ).
tcf(c_8897,plain,
! [X0: $i] :
( ap(s(s(X0)))
| pp(s(s(s(X0))))
| ~ pp(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_7595]) ).
tcf(c_8902,plain,
( qq(s(s(s(a))))
| pp(s(s(s(a))))
| ~ rr(s(s(s(a))))
| ~ r(s(s(s(a))))
| ~ ap(s(s(s(a))))
| ~ p(s(s(s(s(a))))) ),
inference(instantiation,[status(thm)],[c_8893]) ).
tcf(c_8906,plain,
( r(s(s(s(a))))
| qq(s(s(s(a))))
| pp(s(s(s(a))))
| p(s(s(s(s(a)))))
| ~ rr(s(s(s(a))))
| ~ ap(s(s(s(a)))) ),
inference(instantiation,[status(thm)],[c_8889]) ).
tcf(c_8907,plain,
( r(s(s(s(a))))
| qq(s(s(s(a))))
| pp(s(s(s(a))))
| pp(s(s(s(s(a)))))
| ~ q(s(s(s(a))))
| ~ ap(s(s(s(a)))) ),
inference(instantiation,[status(thm)],[c_8888]) ).
tcf(c_9103,plain,
! [X0: $i] :
( qrp4(s(X0))
| qrp3(s(X0))
| qp(s(s(X0)))
| ~ qp(s(X0)) ),
inference(instantiation,[status(thm)],[c_894]) ).
tcf(c_9223,plain,
! [X0: $i] :
( rr(s(s(s(X0))))
| q(s(s(s(X0))))
| pp(s(s(s(X0))))
| r(s(s(s(s(X0)))))
| ~ qq(s(s(s(X0))))
| ~ ar(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_8111]) ).
tcf(c_9300,plain,
! [X0: $i] :
( pqr4(s(s(s(X0))))
| pqr3(s(s(s(X0))))
| pr(s(s(s(s(X0)))))
| ~ pr(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_908]) ).
tcf(c_9301,plain,
( pqr4(s(s(s(a))))
| pqr3(s(s(s(a))))
| pr(s(s(s(s(a)))))
| ~ pr(s(s(s(a)))) ),
inference(instantiation,[status(thm)],[c_9300]) ).
tcf(c_9303,plain,
! [X0: $i] :
( pr(s(s(X0)))
| pqr2(s(s(X0)))
| pqr1(s(s(X0)))
| ~ pr(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_902]) ).
tcf(c_9536,plain,
! [X0: $i] :
( ar(s(X0))
| ~ qrp4(s(X0)) ),
inference(instantiation,[status(thm)],[c_377]) ).
tcf(c_9538,plain,
! [X0: $i] :
( p(s(X0))
| ~ qrp4(s(X0)) ),
inference(instantiation,[status(thm)],[c_375]) ).
tcf(c_9544,plain,
! [X0: $i] :
( qrp4(s(s(s(X0))))
| qrp3(s(s(s(X0))))
| qp(s(s(s(s(X0)))))
| ~ qp(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_9103]) ).
tcf(c_9545,plain,
( qrp4(s(s(s(a))))
| qrp3(s(s(s(a))))
| qp(s(s(s(s(a)))))
| ~ qp(s(s(s(a)))) ),
inference(instantiation,[status(thm)],[c_9544]) ).
tcf(c_9546,plain,
! [X0: $i] :
( aq(s(s(s(X0))))
| ~ pqr3(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_342]) ).
tcf(c_9548,plain,
! [X0: $i] :
( ~ pqr3(s(s(s(X0))))
| ~ r(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_340]) ).
tcf(c_9550,plain,
! [X0: $i] :
( p(s(s(s(X0))))
| ~ pqr3(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_336]) ).
tcf(c_9555,plain,
( aq(s(s(s(a))))
| ~ pqr3(s(s(s(a)))) ),
inference(instantiation,[status(thm)],[c_9546]) ).
tcf(c_9558,plain,
! [X0: $i] :
( aq(s(s(X0)))
| ~ pqr1(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_328]) ).
tcf(c_9561,plain,
! [X0: $i] :
( ~ q(s(s(X0)))
| ~ pqr1(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_324]) ).
tcf(c_9570,plain,
! [X0: $i] :
( pr(s(s(s(X0))))
| pqr2(s(s(s(X0))))
| pqr1(s(s(s(X0))))
| ~ pr(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_9303]) ).
tcf(c_9585,plain,
! [X0: $i] :
( rr(s(s(s(X0))))
| q(s(s(s(X0))))
| pp(s(s(s(X0))))
| p(s(s(s(s(X0)))))
| ~ qq(s(s(s(X0))))
| ~ ap(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_8548]) ).
tcf(c_9749,plain,
! [X0: $i] :
( rr(s(s(s(s(X0)))))
| qq(s(s(s(s(X0)))))
| ~ pp(s(s(s(s(X0)))))
| ~ p(s(s(s(s(X0)))))
| ~ aq(s(s(s(s(X0)))))
| ~ q(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7647]) ).
tcf(c_9750,plain,
! [X0: $i] :
( ~ ar(s(s(s(s(X0)))))
| ~ aq(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7635]) ).
tcf(c_9751,plain,
( ~ ar(s(s(s(s(a)))))
| ~ aq(s(s(s(s(a))))) ),
inference(instantiation,[status(thm)],[c_9750]) ).
tcf(c_9752,plain,
( rr(s(s(s(s(a)))))
| qq(s(s(s(s(a)))))
| ~ pp(s(s(s(s(a)))))
| ~ p(s(s(s(s(a)))))
| ~ aq(s(s(s(s(a)))))
| ~ q(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_9749]) ).
tcf(c_9753,plain,
! [X0: $i] :
( r(s(s(s(s(X0)))))
| q(s(s(s(s(X0)))))
| ~ rr(s(s(s(s(X0)))))
| ~ qq(s(s(s(s(X0)))))
| ~ aq(s(s(s(s(X0)))))
| ~ qq(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8042]) ).
tcf(c_9754,plain,
! [X0: $i] :
( r(s(s(s(s(X0)))))
| ~ qq(s(s(s(s(X0)))))
| ~ q(s(s(s(s(X0)))))
| ~ pp(s(s(s(s(X0)))))
| ~ aq(s(s(s(s(X0)))))
| ~ qq(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8039]) ).
tcf(c_9755,plain,
! [X0: $i] :
( r(s(s(s(s(X0)))))
| p(s(s(s(s(X0)))))
| q(s(s(s(s(s(X0))))))
| ~ aq(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8064]) ).
tcf(c_9756,plain,
! [X0: $i] :
( r(s(s(s(s(X0)))))
| p(s(s(s(s(X0)))))
| ~ aq(s(s(s(s(X0)))))
| ~ qq(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8061]) ).
tcf(c_9757,plain,
! [X0: $i] :
( ~ aq(s(s(s(s(X0)))))
| ~ ap(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7821]) ).
tcf(c_9758,plain,
( ~ aq(s(s(s(s(a)))))
| ~ ap(s(s(s(s(a))))) ),
inference(instantiation,[status(thm)],[c_9757]) ).
tcf(c_9759,plain,
( r(s(s(s(s(a)))))
| p(s(s(s(s(a)))))
| ~ aq(s(s(s(s(a)))))
| ~ qq(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_9756]) ).
tcf(c_9761,plain,
( r(s(s(s(s(a)))))
| ~ qq(s(s(s(s(a)))))
| ~ q(s(s(s(s(a)))))
| ~ pp(s(s(s(s(a)))))
| ~ aq(s(s(s(s(a)))))
| ~ qq(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_9754]) ).
tcf(c_9762,plain,
( r(s(s(s(s(a)))))
| q(s(s(s(s(a)))))
| ~ rr(s(s(s(s(a)))))
| ~ qq(s(s(s(s(a)))))
| ~ aq(s(s(s(s(a)))))
| ~ qq(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_9753]) ).
tcf(c_9766,plain,
! [X0: $i] :
( ar(s(s(s(s(s(X0))))))
| ~ aq(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8606]) ).
tcf(c_9767,plain,
( ar(s(s(s(s(s(a))))))
| ~ aq(s(s(s(s(a))))) ),
inference(instantiation,[status(thm)],[c_9766]) ).
tcf(c_10477,plain,
! [X0: $i] :
( ap(s(s(s(s(X0)))))
| pp(s(s(s(s(s(X0))))))
| ~ pp(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8724]) ).
tcf(c_10478,plain,
! [X0: $i] :
( p(s(s(s(s(X0)))))
| ap(s(s(s(s(X0)))))
| ~ p(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8541]) ).
tcf(c_10479,plain,
! [X0: $i] :
( ap(s(s(s(s(X0)))))
| ~ ar(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7622]) ).
tcf(c_10481,plain,
( p(s(s(s(s(a)))))
| ap(s(s(s(s(a)))))
| ~ p(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_10478]) ).
tcf(c_10482,plain,
( ap(s(s(s(s(a)))))
| pp(s(s(s(s(s(a))))))
| ~ pp(s(s(s(s(a))))) ),
inference(instantiation,[status(thm)],[c_10477]) ).
tcf(c_10498,plain,
! [X0: $i] :
( rr(s(s(s(s(s(X0))))))
| ~ qq(s(s(s(s(s(X0))))))
| ~ pp(s(s(s(s(s(X0))))))
| ~ rr(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_8268]) ).
tcf(c_10499,plain,
! [X0: $i] :
( aq(s(s(s(s(s(X0))))))
| qq(s(s(s(s(s(s(X0)))))))
| ~ qq(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8004]) ).
tcf(c_10500,plain,
! [X0: $i] :
( q(s(s(s(s(s(X0))))))
| r(s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(X0))))))
| ~ qq(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8113]) ).
tcf(c_10501,plain,
! [X0: $i] :
( ~ r(s(s(s(s(X0)))))
| ~ p(s(s(s(s(X0)))))
| ~ aq(s(s(s(s(X0)))))
| ~ qq(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7498]) ).
tcf(c_10502,plain,
( ~ r(s(s(s(s(a)))))
| ~ p(s(s(s(s(a)))))
| ~ aq(s(s(s(s(a)))))
| ~ qq(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_10501]) ).
tcf(c_10503,plain,
( q(s(s(s(s(s(a))))))
| r(s(s(s(s(s(s(a)))))))
| ~ r(s(s(s(s(s(a))))))
| ~ qq(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_10500]) ).
tcf(c_10504,plain,
( aq(s(s(s(s(s(a))))))
| qq(s(s(s(s(s(s(a)))))))
| ~ qq(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_10499]) ).
tcf(c_10505,plain,
( rr(s(s(s(s(s(a))))))
| ~ qq(s(s(s(s(s(a))))))
| ~ pp(s(s(s(s(s(a))))))
| ~ rr(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_10498]) ).
tcf(c_10506,plain,
! [X0: $i] :
( r(s(s(s(s(s(X0))))))
| ~ qq(s(s(s(s(s(X0))))))
| ~ pp(s(s(s(s(s(X0))))))
| ~ p(s(s(s(s(s(X0))))))
| ~ ap(s(s(s(s(s(X0))))))
| ~ pp(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_8040]) ).
tcf(c_10507,plain,
! [X0: $i] :
( pp(s(s(s(s(s(X0))))))
| ~ rr(s(s(s(s(s(X0))))))
| ~ qq(s(s(s(s(s(X0))))))
| ~ pp(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_8242]) ).
tcf(c_10508,plain,
! [X0: $i] :
( qq(s(s(s(s(X0)))))
| aq(s(s(s(s(X0)))))
| ~ qq(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7673]) ).
tcf(c_10512,plain,
! [X0: $i] :
( qq(s(s(s(s(X0)))))
| ~ rr(s(s(s(s(X0)))))
| ~ pp(s(s(s(s(X0)))))
| ~ qq(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8267]) ).
tcf(c_10513,plain,
( qq(s(s(s(s(a)))))
| ~ rr(s(s(s(s(a)))))
| ~ pp(s(s(s(s(a)))))
| ~ qq(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_10512]) ).
tcf(c_10518,plain,
! [X0: $i] :
( rr(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(s(X0))))))
| ~ p(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_1036]) ).
tcf(c_10522,plain,
! [X0: $i] :
( aq(s(s(s(s(s(X0))))))
| q(s(s(s(s(s(s(X0)))))))
| ~ q(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_464]) ).
tcf(c_10523,plain,
! [X0: $i] :
( ~ rpq3(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_396]) ).
tcf(c_10525,plain,
! [X0: $i] :
( ~ qrp4(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_371]) ).
tcf(c_10533,plain,
( aq(s(s(s(s(s(a))))))
| q(s(s(s(s(s(s(a)))))))
| ~ q(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_10522]) ).
tcf(c_10542,plain,
! [X0: $i] :
( q(s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))))
| ~ qq(s(s(s(s(X0)))))
| ~ q(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_1159]) ).
tcf(c_10543,plain,
! [X0: $i] :
( q(s(s(s(s(X0)))))
| pp(s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))))
| ~ q(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_1064]) ).
tcf(c_10544,plain,
! [X0: $i] :
( q(s(s(s(s(X0)))))
| aq(s(s(s(s(X0)))))
| ~ q(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_463]) ).
tcf(c_10546,plain,
( q(s(s(s(s(a)))))
| pp(s(s(s(s(a)))))
| ~ r(s(s(s(s(a)))))
| ~ q(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_10543]) ).
tcf(c_10547,plain,
( q(s(s(s(s(a)))))
| ~ r(s(s(s(s(a)))))
| ~ qq(s(s(s(s(a)))))
| ~ q(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_10542]) ).
tcf(c_10548,plain,
! [X0: $i] :
( ~ q(s(s(s(s(s(X0))))))
| ~ p(s(s(s(s(s(X0))))))
| ~ ar(s(s(s(s(s(X0))))))
| ~ rr(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_7620]) ).
tcf(c_10549,plain,
! [X0: $i] :
( ~ q(s(s(s(s(s(X0))))))
| ~ p(s(s(s(s(s(X0))))))
| ~ ar(s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_7619]) ).
tcf(c_10550,plain,
! [X0: $i] :
( q(s(s(s(s(X0)))))
| ~ pp(s(s(s(s(X0)))))
| ~ p(s(s(s(s(X0)))))
| ~ q(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7533]) ).
tcf(c_10551,plain,
! [X0: $i] :
( q(s(s(s(s(X0)))))
| ~ qq(s(s(s(s(X0)))))
| ~ p(s(s(s(s(X0)))))
| ~ q(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7523]) ).
tcf(c_10552,plain,
! [X0: $i] :
( rr(s(s(s(s(X0)))))
| q(s(s(s(s(X0)))))
| ~ p(s(s(s(s(X0)))))
| ~ q(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7514]) ).
tcf(c_10554,plain,
! [X0: $i] :
( ~ r(s(s(s(s(X0)))))
| ~ p(s(s(s(s(X0)))))
| ~ aq(s(s(s(s(X0)))))
| ~ q(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7500]) ).
tcf(c_10555,plain,
( ~ r(s(s(s(s(a)))))
| ~ p(s(s(s(s(a)))))
| ~ aq(s(s(s(s(a)))))
| ~ q(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_10554]) ).
tcf(c_10557,plain,
( rr(s(s(s(s(a)))))
| q(s(s(s(s(a)))))
| ~ p(s(s(s(s(a)))))
| ~ q(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_10552]) ).
tcf(c_10558,plain,
( q(s(s(s(s(a)))))
| ~ qq(s(s(s(s(a)))))
| ~ p(s(s(s(s(a)))))
| ~ q(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_10551]) ).
tcf(c_10560,plain,
( ~ q(s(s(s(s(s(a))))))
| ~ p(s(s(s(s(s(a))))))
| ~ ar(s(s(s(s(s(a))))))
| ~ r(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_10549]) ).
tcf(c_10561,plain,
( ~ q(s(s(s(s(s(a))))))
| ~ p(s(s(s(s(s(a))))))
| ~ ar(s(s(s(s(s(a))))))
| ~ rr(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_10548]) ).
tcf(c_10562,plain,
! [X0: $i] :
( r(s(s(s(s(s(X0))))))
| qq(s(s(s(s(s(X0))))))
| pp(s(s(s(s(s(s(X0)))))))
| ~ q(s(s(s(s(s(X0))))))
| ~ pp(s(s(s(s(s(X0))))))
| ~ p(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8309]) ).
tcf(c_10566,plain,
! [X0: $i] :
( r(s(s(s(s(s(X0))))))
| pp(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_8059]) ).
tcf(c_10568,plain,
! [X0: $i] :
( r(s(s(s(s(s(X0))))))
| ~ rr(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_8056]) ).
tcf(c_10569,plain,
! [X0: $i] :
( r(s(s(s(s(s(X0))))))
| q(s(s(s(s(s(s(X0)))))))
| ~ qq(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8054]) ).
tcf(c_10570,plain,
! [X0: $i] :
( r(s(s(s(s(s(X0))))))
| ~ qq(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_8050]) ).
tcf(c_10571,plain,
! [X0: $i] :
( r(s(s(s(s(s(X0))))))
| q(s(s(s(s(s(s(X0)))))))
| ~ rr(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8049]) ).
tcf(c_10573,plain,
( r(s(s(s(s(s(a))))))
| ~ qq(s(s(s(s(s(a))))))
| ~ q(s(s(s(s(s(a))))))
| ~ r(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_10570]) ).
tcf(c_10575,plain,
( r(s(s(s(s(s(a))))))
| ~ rr(s(s(s(s(s(a))))))
| ~ q(s(s(s(s(s(a))))))
| ~ r(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_10568]) ).
tcf(c_10581,plain,
! [X0: $i] :
( r(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(s(X0))))))
| ~ p(s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_8700]) ).
tcf(c_10828,plain,
! [X0: $i] :
( rr(s(s(s(s(X0)))))
| q(s(s(s(s(X0)))))
| pp(s(s(s(s(X0)))))
| r(s(s(s(s(s(X0))))))
| ~ qq(s(s(s(s(X0)))))
| ~ ar(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_9223]) ).
tcf(c_10916,plain,
! [X0: $i] :
( rpq4(s(s(s(X0))))
| rpq3(s(s(s(X0))))
| rq(s(s(s(s(X0)))))
| ~ rq(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7637]) ).
tcf(c_10917,plain,
! [X0: $i] :
( rr(s(s(X0)))
| q(s(s(X0)))
| pp(s(s(X0)))
| p(s(s(X0)))
| ~ r(s(s(X0)))
| ~ qq(s(s(X0)))
| ~ ap(s(s(X0)))
| ~ rq(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_572]) ).
tcf(c_10920,plain,
! [X0: $i] :
( rq(s(s(X0)))
| rpq2(s(s(X0)))
| rpq1(s(s(X0)))
| ~ rq(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7591]) ).
tcf(c_10966,plain,
! [X0: $i] :
( ar(s(s(X0)))
| ~ qrp4(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_9536]) ).
tcf(c_11182,plain,
! [X0: $i] :
( rr(s(s(s(s(X0)))))
| pp(s(s(s(s(X0)))))
| ~ qq(s(s(s(s(X0)))))
| ~ q(s(s(s(s(X0)))))
| ~ ap(s(s(s(s(X0)))))
| ~ p(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_1192]) ).
tcf(c_11184,plain,
! [X0: $i] :
( p(s(s(s(s(X0)))))
| q(s(s(s(s(s(X0))))))
| ~ qq(s(s(s(s(X0)))))
| ~ q(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_1143]) ).
tcf(c_11185,plain,
! [X0: $i] :
( rr(s(s(s(s(X0)))))
| p(s(s(s(s(X0)))))
| q(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_1068]) ).
tcf(c_11187,plain,
! [X0: $i] :
( ~ r(s(s(s(s(X0)))))
| ~ q(s(s(s(s(X0)))))
| ~ ap(s(s(s(s(X0)))))
| ~ p(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_933]) ).
tcf(c_11188,plain,
! [X0: $i] :
( ~ r(s(s(s(s(X0)))))
| ~ q(s(s(s(s(X0)))))
| ~ ap(s(s(s(s(X0)))))
| ~ pp(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_931]) ).
tcf(c_11193,plain,
! [X0: $i] :
( ~ qrp4(s(s(s(s(X0)))))
| ~ q(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_371]) ).
tcf(c_11198,plain,
( ~ qrp4(s(s(s(s(a)))))
| ~ q(s(s(s(s(a))))) ),
inference(instantiation,[status(thm)],[c_11193]) ).
tcf(c_11206,plain,
( rr(s(s(s(s(a)))))
| p(s(s(s(s(a)))))
| q(s(s(s(s(s(a))))))
| ~ q(s(s(s(s(a))))) ),
inference(instantiation,[status(thm)],[c_11185]) ).
tcf(c_11212,plain,
! [X0: $i] :
( q(s(s(s(X0))))
| aq(s(s(s(X0))))
| ~ q(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_463]) ).
tcf(c_11213,plain,
( q(s(s(s(a))))
| aq(s(s(s(a))))
| ~ q(s(s(s(s(a))))) ),
inference(instantiation,[status(thm)],[c_11212]) ).
tcf(c_11221,plain,
! [X0: $i] :
( q(s(s(s(X0))))
| ~ r(s(s(s(X0))))
| ~ p(s(s(s(X0))))
| ~ q(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7502]) ).
tcf(c_11425,plain,
! [X0: $i] :
( rr(s(s(s(X0))))
| pp(s(s(s(X0))))
| ~ qq(s(s(s(X0))))
| ~ q(s(s(s(X0))))
| ~ ap(s(s(s(X0))))
| ~ p(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_1192]) ).
tcf(c_11426,plain,
! [X0: $i] :
( p(s(s(s(X0))))
| ~ qq(s(s(s(X0))))
| ~ q(s(s(s(X0))))
| ~ p(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_1204]) ).
tcf(c_11427,plain,
! [X0: $i] :
( p(s(s(s(X0))))
| q(s(s(s(s(X0)))))
| ~ qq(s(s(s(X0))))
| ~ q(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1143]) ).
tcf(c_11428,plain,
! [X0: $i] :
( rr(s(s(s(X0))))
| p(s(s(s(X0))))
| q(s(s(s(s(X0)))))
| ~ q(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1068]) ).
tcf(c_11429,plain,
! [X0: $i] :
( rr(s(s(s(X0))))
| p(s(s(s(X0))))
| ~ q(s(s(s(X0))))
| ~ p(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_1036]) ).
tcf(c_11431,plain,
! [X0: $i] :
( ~ r(s(s(s(X0))))
| ~ q(s(s(s(X0))))
| ~ ap(s(s(s(X0))))
| ~ pp(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_931]) ).
tcf(c_11433,plain,
! [X0: $i] :
( aq(s(s(s(X0))))
| q(s(s(s(s(X0)))))
| ~ q(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_464]) ).
tcf(c_11437,plain,
! [X0: $i] :
( ~ qrp1(s(s(s(X0))))
| ~ q(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_350]) ).
tcf(c_11444,plain,
( aq(s(s(s(a))))
| q(s(s(s(s(a)))))
| ~ q(s(s(s(a)))) ),
inference(instantiation,[status(thm)],[c_11433]) ).
tcf(c_11446,plain,
( ~ r(s(s(s(a))))
| ~ q(s(s(s(a))))
| ~ ap(s(s(s(a))))
| ~ pp(s(s(s(s(a))))) ),
inference(instantiation,[status(thm)],[c_11431]) ).
tcf(c_11448,plain,
( rr(s(s(s(a))))
| p(s(s(s(a))))
| ~ q(s(s(s(a))))
| ~ p(s(s(s(s(a))))) ),
inference(instantiation,[status(thm)],[c_11429]) ).
tcf(c_11451,plain,
( p(s(s(s(a))))
| ~ qq(s(s(s(a))))
| ~ q(s(s(s(a))))
| ~ p(s(s(s(s(a))))) ),
inference(instantiation,[status(thm)],[c_11426]) ).
tcf(c_11452,plain,
( rr(s(s(s(a))))
| pp(s(s(s(a))))
| ~ qq(s(s(s(a))))
| ~ q(s(s(s(a))))
| ~ ap(s(s(s(a))))
| ~ p(s(s(s(s(a))))) ),
inference(instantiation,[status(thm)],[c_11425]) ).
tcf(c_11453,plain,
! [X0: $i] :
( q(s(s(X0)))
| ~ r(s(s(X0)))
| ~ qq(s(s(X0)))
| ~ q(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1159]) ).
tcf(c_11455,plain,
! [X0: $i] :
( q(s(s(X0)))
| aq(s(s(X0)))
| ~ q(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_463]) ).
tcf(c_11456,plain,
( q(s(s(a)))
| aq(s(s(a)))
| ~ q(s(s(s(a)))) ),
inference(instantiation,[status(thm)],[c_11455]) ).
tcf(c_11461,plain,
! [X0: $i] :
( q(s(s(X0)))
| ~ pp(s(s(X0)))
| ~ p(s(s(X0)))
| ~ q(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7533]) ).
tcf(c_11462,plain,
! [X0: $i] :
( q(s(s(X0)))
| ~ qq(s(s(X0)))
| ~ p(s(s(X0)))
| ~ q(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7523]) ).
tcf(c_11464,plain,
! [X0: $i] :
( q(s(s(X0)))
| ~ r(s(s(X0)))
| ~ p(s(s(X0)))
| ~ q(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7502]) ).
tcf(c_11467,plain,
( q(s(s(a)))
| ~ r(s(s(a)))
| ~ p(s(s(a)))
| ~ q(s(s(s(a)))) ),
inference(instantiation,[status(thm)],[c_11464]) ).
tcf(c_11614,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(X0)))))))
| qq(s(s(s(s(s(s(X0)))))))
| pp(s(s(s(s(s(s(X0)))))))
| p(s(s(s(s(s(s(X0)))))))
| rq(s(s(s(s(s(s(s(X0))))))))
| ~ rr(s(s(s(s(s(s(X0)))))))
| ~ q(s(s(s(s(s(s(X0)))))))
| ~ ap(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_8568]) ).
tcf(c_11625,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(X0)))))))
| p(s(s(s(s(s(s(X0)))))))
| ~ qq(s(s(s(s(s(s(X0)))))))
| ~ pp(s(s(s(s(s(s(X0)))))))
| ~ ap(s(s(s(s(s(s(X0)))))))
| ~ pp(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_8544]) ).
tcf(c_11627,plain,
! [X0: $i] :
( qq(s(s(s(s(s(s(X0)))))))
| q(s(s(s(s(s(s(X0)))))))
| p(s(s(s(s(s(s(X0)))))))
| pp(s(s(s(s(s(s(s(X0))))))))
| ~ r(s(s(s(s(s(s(X0)))))))
| ~ pp(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_8570]) ).
tcf(c_11637,plain,
! [X0: $i] :
( qq(s(s(s(s(s(s(X0)))))))
| p(s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))))
| ~ p(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_8579]) ).
tcf(c_11639,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(X0)))))))
| ~ q(s(s(s(s(s(s(X0)))))))
| ~ pp(s(s(s(s(s(s(X0)))))))
| ~ p(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_8546]) ).
tcf(c_11640,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))))
| ~ pp(s(s(s(s(s(s(X0)))))))
| ~ p(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_8545]) ).
tcf(c_11641,plain,
! [X0: $i] :
( ap(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(s(X0)))))))
| ~ p(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8582]) ).
tcf(c_11642,plain,
! [X0: $i] :
( rr(s(s(s(s(s(X0))))))
| q(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(s(X0)))))))
| ~ p(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8551]) ).
tcf(c_11643,plain,
! [X0: $i] :
( q(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(s(X0)))))))
| ~ pp(s(s(s(s(s(X0))))))
| ~ p(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8550]) ).
tcf(c_11644,plain,
! [X0: $i] :
( q(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(s(X0)))))))
| ~ qq(s(s(s(s(s(X0))))))
| ~ p(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8549]) ).
tcf(c_11645,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(X0)))))))
| r(s(s(s(s(s(s(X0)))))))
| p(s(s(s(s(s(s(X0)))))))
| pp(s(s(s(s(s(s(s(X0))))))))
| ~ q(s(s(s(s(s(s(X0)))))))
| ~ pp(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_8051]) ).
tcf(c_11647,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(X0)))))))
| p(s(s(s(s(s(s(X0)))))))
| ~ rr(s(s(s(s(s(s(X0)))))))
| ~ pp(s(s(s(s(s(s(X0)))))))
| ~ ap(s(s(s(s(s(s(X0)))))))
| ~ pp(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_8045]) ).
tcf(c_11652,plain,
( r(s(s(s(s(s(s(a)))))))
| p(s(s(s(s(s(s(a)))))))
| ~ rr(s(s(s(s(s(s(a)))))))
| ~ pp(s(s(s(s(s(s(a)))))))
| ~ ap(s(s(s(s(s(s(a)))))))
| ~ pp(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_11647]) ).
tcf(c_11654,plain,
( rr(s(s(s(s(s(s(a)))))))
| r(s(s(s(s(s(s(a)))))))
| p(s(s(s(s(s(s(a)))))))
| pp(s(s(s(s(s(s(s(a))))))))
| ~ q(s(s(s(s(s(s(a)))))))
| ~ pp(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_11645]) ).
tcf(c_11658,plain,
( ap(s(s(s(s(s(a))))))
| p(s(s(s(s(s(s(a)))))))
| ~ p(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_11641]) ).
tcf(c_11659,plain,
( p(s(s(s(s(s(s(a)))))))
| ~ r(s(s(s(s(s(s(a)))))))
| ~ pp(s(s(s(s(s(s(a)))))))
| ~ p(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_11640]) ).
tcf(c_11660,plain,
( p(s(s(s(s(s(s(a)))))))
| ~ q(s(s(s(s(s(s(a)))))))
| ~ pp(s(s(s(s(s(s(a)))))))
| ~ p(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_11639]) ).
tcf(c_11662,plain,
( qq(s(s(s(s(s(s(a)))))))
| p(s(s(s(s(s(s(a)))))))
| ~ r(s(s(s(s(s(s(a)))))))
| ~ p(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_11637]) ).
tcf(c_11672,plain,
( qq(s(s(s(s(s(s(a)))))))
| q(s(s(s(s(s(s(a)))))))
| p(s(s(s(s(s(s(a)))))))
| pp(s(s(s(s(s(s(s(a))))))))
| ~ r(s(s(s(s(s(s(a)))))))
| ~ pp(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_11627]) ).
tcf(c_11674,plain,
( q(s(s(s(s(s(s(a)))))))
| p(s(s(s(s(s(s(a)))))))
| ~ qq(s(s(s(s(s(s(a)))))))
| ~ pp(s(s(s(s(s(s(a)))))))
| ~ ap(s(s(s(s(s(s(a)))))))
| ~ pp(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_11625]) ).
tcf(c_11685,plain,
( r(s(s(s(s(s(s(a)))))))
| qq(s(s(s(s(s(s(a)))))))
| pp(s(s(s(s(s(s(a)))))))
| p(s(s(s(s(s(s(a)))))))
| rq(s(s(s(s(s(s(s(a))))))))
| ~ rr(s(s(s(s(s(s(a)))))))
| ~ q(s(s(s(s(s(s(a)))))))
| ~ ap(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_11614]) ).
tcf(c_11688,plain,
! [X0: $i] :
( r(s(s(s(s(s(X0))))))
| qq(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(s(X0)))))))
| ~ p(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8129]) ).
tcf(c_11689,plain,
! [X0: $i] :
( r(s(s(s(s(s(X0))))))
| q(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(s(X0)))))))
| ~ p(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8066]) ).
tcf(c_11690,plain,
! [X0: $i] :
( r(s(s(s(s(s(X0))))))
| q(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(s(X0)))))))
| ~ ap(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8065]) ).
tcf(c_11876,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(X0)))))))
| q(s(s(s(s(s(s(X0)))))))
| pp(s(s(s(s(s(s(X0)))))))
| p(s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))))
| ~ qq(s(s(s(s(s(s(X0)))))))
| ~ ap(s(s(s(s(s(s(X0)))))))
| ~ rq(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_10917]) ).
tcf(c_11877,plain,
( rr(s(s(s(s(s(s(a)))))))
| q(s(s(s(s(s(s(a)))))))
| pp(s(s(s(s(s(s(a)))))))
| p(s(s(s(s(s(s(a)))))))
| ~ r(s(s(s(s(s(s(a)))))))
| ~ qq(s(s(s(s(s(s(a)))))))
| ~ ap(s(s(s(s(s(s(a)))))))
| ~ rq(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_11876]) ).
tcf(c_12134,plain,
! [X0: $i] :
( p(s(s(s(s(s(X0))))))
| ~ qrp4(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_9538]) ).
tcf(c_12148,plain,
( p(s(s(s(s(s(a))))))
| ~ qrp4(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_12134]) ).
tcf(c_12149,plain,
! [X0: $i] :
( rr(s(s(s(s(s(X0))))))
| q(s(s(s(s(s(X0))))))
| pp(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))))
| ~ qq(s(s(s(s(s(X0))))))
| ~ ap(s(s(s(s(s(X0))))))
| ~ rq(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_10917]) ).
tcf(c_12175,plain,
! [X0: $i] :
( p(s(s(s(s(s(X0))))))
| ~ pqr3(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_9550]) ).
tcf(c_12176,plain,
! [X0: $i] :
( rr(s(s(s(s(s(X0))))))
| pp(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(X0))))))
| qp(s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(X0))))))
| ~ qq(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(s(X0))))))
| ~ ar(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8569]) ).
tcf(c_12177,plain,
! [X0: $i] :
( r(s(s(s(s(s(X0))))))
| qq(s(s(s(s(s(X0))))))
| pp(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(X0))))))
| rq(s(s(s(s(s(s(X0)))))))
| ~ rr(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(s(X0))))))
| ~ ap(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8568]) ).
tcf(c_12178,plain,
! [X0: $i] :
( rr(s(s(s(s(s(X0))))))
| qq(s(s(s(s(s(X0))))))
| q(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(X0))))))
| pr(s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(X0))))))
| ~ pp(s(s(s(s(s(X0))))))
| ~ aq(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8567]) ).
tcf(c_12179,plain,
! [X0: $i] :
( rr(s(s(s(s(s(X0))))))
| r(s(s(s(s(s(X0))))))
| qq(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(s(X0))))))
| ~ pp(s(s(s(s(s(X0))))))
| ~ ar(s(s(s(s(s(X0))))))
| ~ qp(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_8566]) ).
tcf(c_12180,plain,
! [X0: $i] :
( qq(s(s(s(s(s(X0))))))
| pp(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(X0))))))
| ~ rr(s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(s(X0))))))
| ~ aq(s(s(s(s(s(X0))))))
| ~ pr(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_8565]) ).
tcf(c_12181,plain,
! [X0: $i] :
( p(s(s(s(s(s(X0))))))
| ~ rr(s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))))
| ~ qq(s(s(s(s(s(X0))))))
| ~ ar(s(s(s(s(s(X0))))))
| ~ rr(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_8578]) ).
tcf(c_12182,plain,
! [X0: $i] :
( rr(s(s(s(s(s(X0))))))
| pp(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(X0))))))
| rr(s(s(s(s(s(s(X0)))))))
| ~ q(s(s(s(s(s(X0))))))
| ~ ar(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8577]) ).
tcf(c_12183,plain,
! [X0: $i] :
( qq(s(s(s(s(s(X0))))))
| pp(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(X0))))))
| qq(s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(X0))))))
| ~ aq(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8576]) ).
tcf(c_12184,plain,
! [X0: $i] :
( rr(s(s(s(s(s(X0))))))
| qq(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(X0))))))
| q(s(s(s(s(s(s(X0)))))))
| ~ pp(s(s(s(s(s(X0))))))
| ~ aq(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8575]) ).
tcf(c_12185,plain,
! [X0: $i] :
( rr(s(s(s(s(s(X0))))))
| qq(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(X0))))))
| qq(s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(X0))))))
| ~ aq(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8574]) ).
tcf(c_12186,plain,
! [X0: $i] :
( rr(s(s(s(s(s(X0))))))
| qq(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(X0))))))
| r(s(s(s(s(s(s(X0)))))))
| ~ pp(s(s(s(s(s(X0))))))
| ~ ar(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8573]) ).
tcf(c_12187,plain,
! [X0: $i] :
( qq(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(X0))))))
| rr(s(s(s(s(s(s(X0)))))))
| ~ rr(s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8571]) ).
tcf(c_12188,plain,
! [X0: $i] :
( q(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(X0))))))
| ~ qq(s(s(s(s(s(X0))))))
| ~ pp(s(s(s(s(s(X0))))))
| ~ ap(s(s(s(s(s(X0))))))
| ~ pp(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_8544]) ).
tcf(c_12189,plain,
! [X0: $i] :
( rr(s(s(s(s(s(X0))))))
| qq(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(X0))))))
| rr(s(s(s(s(s(s(X0)))))))
| ~ q(s(s(s(s(s(X0))))))
| ~ ar(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8572]) ).
tcf(c_12190,plain,
! [X0: $i] :
( qq(s(s(s(s(s(X0))))))
| q(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(X0))))))
| pp(s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(X0))))))
| ~ pp(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8570]) ).
tcf(c_12191,plain,
! [X0: $i] :
( q(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(X0))))))
| ~ qq(s(s(s(s(s(X0))))))
| ~ pp(s(s(s(s(s(X0))))))
| ~ aq(s(s(s(s(s(X0))))))
| ~ qq(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_8543]) ).
tcf(c_12192,plain,
! [X0: $i] :
( p(s(s(s(s(s(X0))))))
| ~ rr(s(s(s(s(s(X0))))))
| ~ qq(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(s(X0))))))
| ~ aq(s(s(s(s(s(X0))))))
| ~ qq(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_8542]) ).
tcf(c_12193,plain,
! [X0: $i] :
( rr(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(X0))))))
| qq(s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(X0))))))
| ~ qq(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8540]) ).
tcf(c_12194,plain,
! [X0: $i] :
( q(s(s(s(s(s(X0))))))
| pp(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(X0))))))
| qq(s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(X0))))))
| ~ qq(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8539]) ).
tcf(c_12195,plain,
! [X0: $i] :
( q(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(X0))))))
| r(s(s(s(s(s(s(X0)))))))
| ~ ar(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8864]) ).
tcf(c_12196,plain,
! [X0: $i] :
( p(s(s(s(s(s(X0))))))
| r(s(s(s(s(s(s(X0)))))))
| ~ rr(s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8833]) ).
tcf(c_12197,plain,
! [X0: $i] :
( p(s(s(s(s(s(X0))))))
| r(s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(X0))))))
| ~ pp(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8779]) ).
tcf(c_12198,plain,
! [X0: $i] :
( q(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(X0))))))
| ~ ar(s(s(s(s(s(X0))))))
| ~ rr(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_8581]) ).
tcf(c_12199,plain,
! [X0: $i] :
( qq(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(X0))))))
| r(s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8580]) ).
tcf(c_12200,plain,
! [X0: $i] :
( qq(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))))
| ~ p(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_8579]) ).
tcf(c_12201,plain,
! [X0: $i] :
( p(s(s(s(s(s(X0))))))
| q(s(s(s(s(s(s(X0)))))))
| ~ q(s(s(s(s(s(X0))))))
| ~ pp(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8547]) ).
tcf(c_12202,plain,
! [X0: $i] :
( p(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(s(X0))))))
| ~ pp(s(s(s(s(s(X0))))))
| ~ p(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_8546]) ).
tcf(c_12203,plain,
! [X0: $i] :
( p(s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))))
| ~ pp(s(s(s(s(s(X0))))))
| ~ p(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_8545]) ).
tcf(c_12204,plain,
! [X0: $i] :
( ap(s(s(s(s(X0)))))
| p(s(s(s(s(s(X0))))))
| ~ p(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8582]) ).
tcf(c_12205,plain,
! [X0: $i] :
( rr(s(s(s(s(X0)))))
| q(s(s(s(s(X0)))))
| p(s(s(s(s(s(X0))))))
| ~ p(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8551]) ).
tcf(c_12206,plain,
! [X0: $i] :
( q(s(s(s(s(X0)))))
| p(s(s(s(s(s(X0))))))
| ~ pp(s(s(s(s(X0)))))
| ~ p(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8550]) ).
tcf(c_12207,plain,
! [X0: $i] :
( q(s(s(s(s(X0)))))
| p(s(s(s(s(s(X0))))))
| ~ qq(s(s(s(s(X0)))))
| ~ p(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8549]) ).
tcf(c_12209,plain,
! [X0: $i] :
( r(s(s(s(s(s(X0))))))
| pp(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(X0))))))
| rr(s(s(s(s(s(s(X0)))))))
| ~ rr(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8048]) ).
tcf(c_12211,plain,
! [X0: $i] :
( r(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(X0))))))
| ~ rr(s(s(s(s(s(X0))))))
| ~ pp(s(s(s(s(s(X0))))))
| ~ ar(s(s(s(s(s(X0))))))
| ~ rr(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_8044]) ).
tcf(c_12214,plain,
( r(s(s(s(s(s(a))))))
| p(s(s(s(s(s(a))))))
| ~ rr(s(s(s(s(s(a))))))
| ~ pp(s(s(s(s(s(a))))))
| ~ ar(s(s(s(s(s(a))))))
| ~ rr(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_12211]) ).
tcf(c_12216,plain,
( r(s(s(s(s(s(a))))))
| pp(s(s(s(s(s(a))))))
| p(s(s(s(s(s(a))))))
| rr(s(s(s(s(s(s(a)))))))
| ~ rr(s(s(s(s(s(a))))))
| ~ q(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_12209]) ).
tcf(c_12221,plain,
( ap(s(s(s(s(a)))))
| p(s(s(s(s(s(a))))))
| ~ p(s(s(s(s(a))))) ),
inference(instantiation,[status(thm)],[c_12204]) ).
tcf(c_12226,plain,
( qq(s(s(s(s(s(a))))))
| p(s(s(s(s(s(a))))))
| r(s(s(s(s(s(s(a)))))))
| ~ r(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_12199]) ).
tcf(c_12227,plain,
( q(s(s(s(s(s(a))))))
| p(s(s(s(s(s(a))))))
| ~ ar(s(s(s(s(s(a))))))
| ~ rr(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_12198]) ).
tcf(c_12228,plain,
( p(s(s(s(s(s(a))))))
| r(s(s(s(s(s(s(a)))))))
| ~ r(s(s(s(s(s(a))))))
| ~ pp(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_12197]) ).
tcf(c_12229,plain,
( p(s(s(s(s(s(a))))))
| r(s(s(s(s(s(s(a)))))))
| ~ rr(s(s(s(s(s(a))))))
| ~ r(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_12196]) ).
tcf(c_12230,plain,
( q(s(s(s(s(s(a))))))
| p(s(s(s(s(s(a))))))
| r(s(s(s(s(s(s(a)))))))
| ~ ar(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_12195]) ).
tcf(c_12236,plain,
( rr(s(s(s(s(s(a))))))
| qq(s(s(s(s(s(a))))))
| p(s(s(s(s(s(a))))))
| rr(s(s(s(s(s(s(a)))))))
| ~ q(s(s(s(s(s(a))))))
| ~ ar(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_12189]) ).
tcf(c_12238,plain,
( qq(s(s(s(s(s(a))))))
| p(s(s(s(s(s(a))))))
| rr(s(s(s(s(s(s(a)))))))
| ~ rr(s(s(s(s(s(a))))))
| ~ r(s(s(s(s(s(a))))))
| ~ q(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_12187]) ).
tcf(c_12239,plain,
( rr(s(s(s(s(s(a))))))
| qq(s(s(s(s(s(a))))))
| p(s(s(s(s(s(a))))))
| r(s(s(s(s(s(s(a)))))))
| ~ pp(s(s(s(s(s(a))))))
| ~ ar(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_12186]) ).
tcf(c_12243,plain,
( rr(s(s(s(s(s(a))))))
| pp(s(s(s(s(s(a))))))
| p(s(s(s(s(s(a))))))
| rr(s(s(s(s(s(s(a)))))))
| ~ q(s(s(s(s(s(a))))))
| ~ ar(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_12182]) ).
tcf(c_12244,plain,
( p(s(s(s(s(s(a))))))
| ~ rr(s(s(s(s(s(a))))))
| ~ r(s(s(s(s(s(a))))))
| ~ qq(s(s(s(s(s(a))))))
| ~ ar(s(s(s(s(s(a))))))
| ~ rr(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_12181]) ).
tcf(c_12249,plain,
( rr(s(s(s(s(s(a))))))
| pp(s(s(s(s(s(a))))))
| p(s(s(s(s(s(a))))))
| qp(s(s(s(s(s(s(a)))))))
| ~ r(s(s(s(s(s(a))))))
| ~ qq(s(s(s(s(s(a))))))
| ~ q(s(s(s(s(s(a))))))
| ~ ar(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_12176]) ).
tcf(c_12251,plain,
! [X0: $i] :
( r(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(X0))))))
| ~ aq(s(s(s(s(s(X0))))))
| ~ qq(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_9756]) ).
tcf(c_12252,plain,
! [X0: $i] :
( r(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(X0))))))
| q(s(s(s(s(s(s(X0)))))))
| ~ aq(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_9755]) ).
tcf(c_12253,plain,
! [X0: $i] :
( r(s(s(s(s(X0)))))
| qq(s(s(s(s(X0)))))
| p(s(s(s(s(s(X0))))))
| ~ p(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8129]) ).
tcf(c_12254,plain,
! [X0: $i] :
( r(s(s(s(s(X0)))))
| q(s(s(s(s(X0)))))
| p(s(s(s(s(s(X0))))))
| ~ p(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8066]) ).
tcf(c_12255,plain,
! [X0: $i] :
( r(s(s(s(s(X0)))))
| q(s(s(s(s(X0)))))
| p(s(s(s(s(s(X0))))))
| ~ ap(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8065]) ).
tcf(c_12256,plain,
! [X0: $i] :
( r(s(s(s(s(X0)))))
| p(s(s(s(s(s(X0))))))
| ~ pp(s(s(s(s(X0)))))
| ~ p(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8057]) ).
tcf(c_12257,plain,
! [X0: $i] :
( r(s(s(s(s(X0)))))
| p(s(s(s(s(s(X0))))))
| ~ rr(s(s(s(s(X0)))))
| ~ p(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8053]) ).
tcf(c_12574,plain,
! [X0: $i] :
( rr(s(s(s(s(s(X0))))))
| ar(s(s(s(s(s(X0))))))
| ~ rr(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_8604]) ).
tcf(c_12576,plain,
! [X0: $i] :
( rr(s(s(s(s(s(X0))))))
| q(s(s(s(s(s(X0))))))
| pp(s(s(s(s(s(X0))))))
| pp(s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(X0))))))
| ~ ap(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8707]) ).
tcf(c_12577,plain,
! [X0: $i] :
( rr(s(s(s(s(s(X0))))))
| r(s(s(s(s(s(X0))))))
| qq(s(s(s(s(s(X0))))))
| pr(s(s(s(s(s(s(X0)))))))
| ~ q(s(s(s(s(s(X0))))))
| ~ pp(s(s(s(s(s(X0))))))
| ~ p(s(s(s(s(s(X0))))))
| ~ aq(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8420]) ).
tcf(c_12578,plain,
! [X0: $i] :
( rr(s(s(s(s(s(X0))))))
| r(s(s(s(s(s(X0))))))
| qq(s(s(s(s(s(X0))))))
| qq(s(s(s(s(s(s(X0)))))))
| ~ p(s(s(s(s(s(X0))))))
| ~ aq(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8146]) ).
tcf(c_12579,plain,
! [X0: $i] :
( rr(s(s(s(s(s(X0))))))
| r(s(s(s(s(s(X0))))))
| q(s(s(s(s(s(X0))))))
| pp(s(s(s(s(s(X0))))))
| qp(s(s(s(s(s(s(X0)))))))
| ~ qq(s(s(s(s(s(X0))))))
| ~ p(s(s(s(s(s(X0))))))
| ~ ar(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8038]) ).
tcf(c_12580,plain,
! [X0: $i] :
( rr(s(s(s(s(s(X0))))))
| r(s(s(s(s(s(X0))))))
| pp(s(s(s(s(s(X0))))))
| ~ qq(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(s(X0))))))
| ~ p(s(s(s(s(s(X0))))))
| ~ ap(s(s(s(s(s(X0))))))
| ~ rq(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_8037]) ).
tcf(c_12581,plain,
! [X0: $i] :
( rr(s(s(s(s(s(X0))))))
| r(s(s(s(s(s(X0))))))
| q(s(s(s(s(s(X0))))))
| qq(s(s(s(s(s(s(X0)))))))
| ~ qq(s(s(s(s(s(X0))))))
| ~ p(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8047]) ).
tcf(c_12582,plain,
! [X0: $i] :
( rr(s(s(s(s(s(X0))))))
| r(s(s(s(s(s(X0))))))
| pp(s(s(s(s(s(X0))))))
| pp(s(s(s(s(s(s(X0)))))))
| ~ q(s(s(s(s(s(X0))))))
| ~ ap(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8041]) ).
tcf(c_12583,plain,
! [X0: $i] :
( rr(s(s(s(s(X0)))))
| qq(s(s(s(s(X0)))))
| q(s(s(s(s(X0)))))
| rr(s(s(s(s(s(X0))))))
| ~ p(s(s(s(s(X0)))))
| ~ ar(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7661]) ).
tcf(c_12588,plain,
( rr(s(s(s(s(s(a))))))
| r(s(s(s(s(s(a))))))
| q(s(s(s(s(s(a))))))
| pp(s(s(s(s(s(a))))))
| qp(s(s(s(s(s(s(a)))))))
| ~ qq(s(s(s(s(s(a))))))
| ~ p(s(s(s(s(s(a))))))
| ~ ar(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_12579]) ).
tcf(c_12595,plain,
! [X0: $i] :
( rr(s(s(s(s(s(X0))))))
| pp(s(s(s(s(s(X0))))))
| ~ qq(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(s(X0))))))
| ~ ar(s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_8723]) ).
tcf(c_12596,plain,
! [X0: $i] :
( rr(s(s(s(s(s(X0))))))
| q(s(s(s(s(s(X0))))))
| pp(s(s(s(s(s(X0))))))
| rr(s(s(s(s(s(s(X0)))))))
| ~ p(s(s(s(s(s(X0))))))
| ~ ar(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8722]) ).
tcf(c_12597,plain,
! [X0: $i] :
( r(s(s(s(s(X0)))))
| qq(s(s(s(s(X0)))))
| q(s(s(s(s(X0)))))
| rr(s(s(s(s(s(X0))))))
| ~ rr(s(s(s(s(X0)))))
| ~ p(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8311]) ).
tcf(c_12598,plain,
! [X0: $i] :
( ar(s(s(s(s(X0)))))
| rr(s(s(s(s(s(X0))))))
| ~ rr(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8245]) ).
tcf(c_12599,plain,
( ar(s(s(s(s(a)))))
| rr(s(s(s(s(s(a))))))
| ~ rr(s(s(s(s(a))))) ),
inference(instantiation,[status(thm)],[c_12598]) ).
tcf(c_12601,plain,
( rr(s(s(s(s(s(a))))))
| q(s(s(s(s(s(a))))))
| pp(s(s(s(s(s(a))))))
| rr(s(s(s(s(s(s(a)))))))
| ~ p(s(s(s(s(s(a))))))
| ~ ar(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_12596]) ).
tcf(c_12602,plain,
( rr(s(s(s(s(s(a))))))
| pp(s(s(s(s(s(a))))))
| ~ qq(s(s(s(s(s(a))))))
| ~ q(s(s(s(s(s(a))))))
| ~ ar(s(s(s(s(s(a))))))
| ~ r(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_12595]) ).
tcf(c_12696,plain,
! [X0: $i] :
( q(s(s(X0)))
| ~ rpq1(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_382]) ).
tcf(c_12703,plain,
! [X0: $i] :
( ap(s(s(X0)))
| ~ rpq1(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_7603]) ).
tcf(c_12704,plain,
! [X0: $i] :
( ~ rpq1(s(s(X0)))
| ~ pp(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_7542]) ).
tcf(c_12751,plain,
! [X0: $i] :
( rr(s(s(s(s(s(X0))))))
| qq(s(s(s(s(s(X0))))))
| ~ pp(s(s(s(s(s(X0))))))
| ~ p(s(s(s(s(s(X0))))))
| ~ aq(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_9749]) ).
tcf(c_12870,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(X0)))))))
| ~ ar(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_10479]) ).
tcf(c_12871,plain,
! [X0: $i] :
( q(s(s(s(s(s(X0))))))
| ~ rr(s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))))
| ~ pp(s(s(s(s(s(X0))))))
| ~ ar(s(s(s(s(s(X0))))))
| ~ rr(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_8266]) ).
tcf(c_12872,plain,
! [X0: $i] :
( r(s(s(s(s(s(X0))))))
| q(s(s(s(s(s(X0))))))
| ~ rr(s(s(s(s(s(X0))))))
| ~ qq(s(s(s(s(s(X0))))))
| ~ ar(s(s(s(s(s(X0))))))
| ~ rr(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_8043]) ).
tcf(c_12873,plain,
! [X0: $i] :
( ~ ar(s(s(s(s(s(X0))))))
| ~ ap(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7833]) ).
tcf(c_12874,plain,
( ~ ar(s(s(s(s(s(a))))))
| ~ ap(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_12873]) ).
tcf(c_12875,plain,
( r(s(s(s(s(s(a))))))
| q(s(s(s(s(s(a))))))
| ~ rr(s(s(s(s(s(a))))))
| ~ qq(s(s(s(s(s(a))))))
| ~ ar(s(s(s(s(s(a))))))
| ~ rr(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_12872]) ).
tcf(c_12876,plain,
( q(s(s(s(s(s(a))))))
| ~ rr(s(s(s(s(s(a))))))
| ~ r(s(s(s(s(s(a))))))
| ~ pp(s(s(s(s(s(a))))))
| ~ ar(s(s(s(s(s(a))))))
| ~ rr(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_12871]) ).
tcf(c_12877,plain,
( ap(s(s(s(s(s(s(a)))))))
| ~ ar(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_12870]) ).
tcf(c_12878,plain,
! [X0: $i] :
( ~ ar(s(s(s(s(s(X0))))))
| ~ aq(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_9750]) ).
tcf(c_12879,plain,
( ~ ar(s(s(s(s(s(a))))))
| ~ aq(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_12878]) ).
tcf(c_12919,plain,
! [X0: $i] :
( p(s(s(s(s(s(X0))))))
| ap(s(s(s(s(s(X0))))))
| ~ p(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_10478]) ).
tcf(c_12920,plain,
( p(s(s(s(s(s(a))))))
| ap(s(s(s(s(s(a))))))
| ~ p(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_12919]) ).
tcf(c_13321,plain,
! [X0: $i] :
( rr(s(s(s(s(X0)))))
| q(s(s(s(s(X0)))))
| pp(s(s(s(s(X0)))))
| p(s(s(s(s(s(X0))))))
| ~ qq(s(s(s(s(X0)))))
| ~ ap(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_9585]) ).
tcf(c_13322,plain,
! [X0: $i] :
( r(s(s(s(s(X0)))))
| pp(s(s(s(s(X0)))))
| qq(s(s(s(s(s(X0))))))
| ~ qq(s(s(s(s(X0)))))
| ~ q(s(s(s(s(X0)))))
| ~ p(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8046]) ).
tcf(c_13324,plain,
! [X0: $i] :
( r(s(s(s(s(X0)))))
| pp(s(s(s(s(X0)))))
| q(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8058]) ).
tcf(c_13341,plain,
( r(s(s(s(s(a)))))
| pp(s(s(s(s(a)))))
| q(s(s(s(s(s(a))))))
| ~ q(s(s(s(s(a))))) ),
inference(instantiation,[status(thm)],[c_13324]) ).
tcf(c_13343,plain,
( r(s(s(s(s(a)))))
| pp(s(s(s(s(a)))))
| qq(s(s(s(s(s(a))))))
| ~ qq(s(s(s(s(a)))))
| ~ q(s(s(s(s(a)))))
| ~ p(s(s(s(s(a))))) ),
inference(instantiation,[status(thm)],[c_13322]) ).
tcf(c_13803,plain,
! [X0: $i] :
( ar(s(s(s(X0))))
| ~ qrp4(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_10966]) ).
tcf(c_13804,plain,
( ar(s(s(s(a))))
| ~ qrp4(s(s(s(a)))) ),
inference(instantiation,[status(thm)],[c_13803]) ).
tcf(c_13850,plain,
! [X0: $i] :
( rq(s(s(s(X0))))
| rpq2(s(s(s(X0))))
| rpq1(s(s(s(X0))))
| ~ rq(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_10920]) ).
tcf(c_13855,plain,
! [X0: $i] :
( pr(s(s(s(s(s(X0))))))
| rq(s(s(s(s(s(X0))))))
| qp(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8406]) ).
tcf(c_13860,plain,
! [X0: $i] :
( pqr4(s(s(s(s(X0)))))
| pqr3(s(s(s(s(X0)))))
| pr(s(s(s(s(s(X0))))))
| ~ pr(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_9300]) ).
tcf(c_13861,plain,
( pqr4(s(s(s(s(a)))))
| pqr3(s(s(s(s(a)))))
| pr(s(s(s(s(s(a))))))
| ~ pr(s(s(s(s(a))))) ),
inference(instantiation,[status(thm)],[c_13860]) ).
tcf(c_13862,plain,
! [X0: $i] :
( ~ pr(s(s(X0)))
| ~ rq(s(s(X0)))
| ~ qp(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_406]) ).
tcf(c_13863,plain,
! [X0: $i] :
( pqr4(s(s(X0)))
| pqr3(s(s(X0)))
| pr(s(s(s(X0))))
| ~ pr(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_908]) ).
tcf(c_13864,plain,
( pqr4(s(s(a)))
| pqr3(s(s(a)))
| pr(s(s(s(a))))
| ~ pr(s(s(a))) ),
inference(instantiation,[status(thm)],[c_13863]) ).
tcf(c_14004,plain,
! [X0: $i] :
( pr(s(s(s(s(s(X0))))))
| pqr2(s(s(s(s(s(X0))))))
| pqr1(s(s(s(s(s(X0))))))
| ~ pr(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_9570]) ).
tcf(c_14005,plain,
( pr(s(s(s(s(s(a))))))
| pqr2(s(s(s(s(s(a))))))
| pqr1(s(s(s(s(s(a))))))
| ~ pr(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_14004]) ).
tcf(c_14062,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(X0)))))))
| pp(s(s(s(s(s(s(X0)))))))
| ~ qq(s(s(s(s(s(s(X0)))))))
| ~ q(s(s(s(s(s(s(X0)))))))
| ~ ap(s(s(s(s(s(s(X0)))))))
| ~ p(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_11182]) ).
tcf(c_14068,plain,
( rr(s(s(s(s(s(s(a)))))))
| pp(s(s(s(s(s(s(a)))))))
| ~ qq(s(s(s(s(s(s(a)))))))
| ~ q(s(s(s(s(s(s(a)))))))
| ~ ap(s(s(s(s(s(s(a)))))))
| ~ p(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_14062]) ).
tcf(c_14069,plain,
! [X0: $i] :
( ar(s(s(s(s(s(X0))))))
| rr(s(s(s(s(s(s(X0)))))))
| ~ rr(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_12598]) ).
tcf(c_14228,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(X0)))))))
| q(s(s(s(s(s(s(X0)))))))
| ~ p(s(s(s(s(s(s(X0)))))))
| ~ q(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_10552]) ).
tcf(c_14878,plain,
! [X0: $i] :
( q(s(s(s(s(s(X0))))))
| ~ qq(s(s(s(s(s(X0))))))
| ~ p(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_11462]) ).
tcf(c_14880,plain,
! [X0: $i] :
( q(s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))))
| ~ qq(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_11453]) ).
tcf(c_14899,plain,
! [X0: $i] :
( r(s(s(s(s(s(X0))))))
| ~ qq(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(s(X0))))))
| ~ pp(s(s(s(s(s(X0))))))
| ~ aq(s(s(s(s(s(X0))))))
| ~ qq(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_9754]) ).
tcf(c_15191,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(X0)))))))
| q(s(s(s(s(s(s(X0)))))))
| p(s(s(s(s(s(s(s(X0))))))))
| ~ p(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_12205]) ).
tcf(c_15192,plain,
( rr(s(s(s(s(s(s(a)))))))
| q(s(s(s(s(s(s(a)))))))
| p(s(s(s(s(s(s(s(a))))))))
| ~ p(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_15191]) ).
tcf(c_15306,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(X0)))))))
| q(s(s(s(s(s(s(X0)))))))
| pp(s(s(s(s(s(s(X0)))))))
| r(s(s(s(s(s(s(s(X0))))))))
| ~ qq(s(s(s(s(s(s(X0)))))))
| ~ ar(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_10828]) ).
tcf(c_15382,plain,
! [X0: $i] :
( qq(s(s(s(s(s(X0))))))
| aq(s(s(s(s(s(X0))))))
| ~ qq(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_10508]) ).
tcf(c_15383,plain,
! [X0: $i] :
( q(s(s(s(s(s(X0))))))
| aq(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_10544]) ).
tcf(c_15384,plain,
! [X0: $i] :
( aq(s(s(s(s(s(X0))))))
| ~ ap(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8444]) ).
tcf(c_15386,plain,
( q(s(s(s(s(s(a))))))
| aq(s(s(s(s(s(a))))))
| ~ q(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_15383]) ).
tcf(c_15387,plain,
( qq(s(s(s(s(s(a))))))
| aq(s(s(s(s(s(a))))))
| ~ qq(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_15382]) ).
tcf(c_15730,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(X0)))))))
| r(s(s(s(s(s(s(X0)))))))
| pp(s(s(s(s(s(s(X0)))))))
| pp(s(s(s(s(s(s(s(X0))))))))
| ~ q(s(s(s(s(s(s(X0)))))))
| ~ ap(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_12582]) ).
tcf(c_15731,plain,
( rr(s(s(s(s(s(s(a)))))))
| r(s(s(s(s(s(s(a)))))))
| pp(s(s(s(s(s(s(a)))))))
| pp(s(s(s(s(s(s(s(a))))))))
| ~ q(s(s(s(s(s(s(a)))))))
| ~ ap(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_15730]) ).
tcf(c_15748,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(X0)))))))
| qq(s(s(s(s(s(s(X0)))))))
| q(s(s(s(s(s(s(X0)))))))
| rr(s(s(s(s(s(s(s(X0))))))))
| ~ p(s(s(s(s(s(s(X0)))))))
| ~ ar(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_12583]) ).
tcf(c_16000,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(X0)))))))
| r(s(s(s(s(s(s(X0)))))))
| pp(s(s(s(s(s(s(X0)))))))
| ~ qq(s(s(s(s(s(s(X0)))))))
| ~ q(s(s(s(s(s(s(X0)))))))
| ~ p(s(s(s(s(s(s(X0)))))))
| ~ ap(s(s(s(s(s(s(X0)))))))
| ~ rq(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_12580]) ).
tcf(c_16001,plain,
( rr(s(s(s(s(s(s(a)))))))
| r(s(s(s(s(s(s(a)))))))
| pp(s(s(s(s(s(s(a)))))))
| ~ qq(s(s(s(s(s(s(a)))))))
| ~ q(s(s(s(s(s(s(a)))))))
| ~ p(s(s(s(s(s(s(a)))))))
| ~ ap(s(s(s(s(s(s(a)))))))
| ~ rq(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_16000]) ).
tcf(c_16006,plain,
! [X0: $i] :
( ~ r(s(s(s(s(s(s(X0)))))))
| ~ q(s(s(s(s(s(s(X0)))))))
| ~ ap(s(s(s(s(s(s(X0)))))))
| ~ pp(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_11188]) ).
tcf(c_16007,plain,
! [X0: $i] :
( ~ r(s(s(s(s(s(s(X0)))))))
| ~ q(s(s(s(s(s(s(X0)))))))
| ~ ap(s(s(s(s(s(s(X0)))))))
| ~ p(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_11187]) ).
tcf(c_16008,plain,
! [X0: $i] :
( ~ aq(s(s(s(s(s(s(X0)))))))
| ~ ap(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_9757]) ).
tcf(c_16009,plain,
! [X0: $i] :
( qq(s(s(s(s(s(s(X0)))))))
| q(s(s(s(s(s(s(X0)))))))
| pp(s(s(s(s(s(s(X0)))))))
| rq(s(s(s(s(s(s(s(X0))))))))
| ~ rr(s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))))
| ~ p(s(s(s(s(s(s(X0)))))))
| ~ ap(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_8714]) ).
tcf(c_16010,plain,
! [X0: $i] :
( qq(s(s(s(s(s(s(X0)))))))
| pp(s(s(s(s(s(s(X0)))))))
| ~ rr(s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))))
| ~ ap(s(s(s(s(s(s(X0)))))))
| ~ p(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_8720]) ).
tcf(c_16011,plain,
! [X0: $i] :
( qq(s(s(s(s(s(s(X0)))))))
| q(s(s(s(s(s(s(X0)))))))
| pp(s(s(s(s(s(s(X0)))))))
| pp(s(s(s(s(s(s(s(X0))))))))
| ~ r(s(s(s(s(s(s(X0)))))))
| ~ ap(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_8719]) ).
tcf(c_16012,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(X0)))))))
| qq(s(s(s(s(s(s(X0)))))))
| pp(s(s(s(s(s(s(X0)))))))
| p(s(s(s(s(s(s(s(X0))))))))
| ~ rr(s(s(s(s(s(s(X0)))))))
| ~ ap(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_8716]) ).
tcf(c_16013,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(X0)))))))
| qq(s(s(s(s(s(s(X0)))))))
| pp(s(s(s(s(s(s(X0)))))))
| pp(s(s(s(s(s(s(s(X0))))))))
| ~ q(s(s(s(s(s(s(X0)))))))
| ~ ap(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_8715]) ).
tcf(c_16015,plain,
( r(s(s(s(s(s(s(a)))))))
| qq(s(s(s(s(s(s(a)))))))
| pp(s(s(s(s(s(s(a)))))))
| p(s(s(s(s(s(s(s(a))))))))
| ~ rr(s(s(s(s(s(s(a)))))))
| ~ ap(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_16012]) ).
tcf(c_16017,plain,
( qq(s(s(s(s(s(s(a)))))))
| pp(s(s(s(s(s(s(a)))))))
| ~ rr(s(s(s(s(s(s(a)))))))
| ~ r(s(s(s(s(s(s(a)))))))
| ~ ap(s(s(s(s(s(s(a)))))))
| ~ p(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_16010]) ).
tcf(c_16018,plain,
( qq(s(s(s(s(s(s(a)))))))
| q(s(s(s(s(s(s(a)))))))
| pp(s(s(s(s(s(s(a)))))))
| rq(s(s(s(s(s(s(s(a))))))))
| ~ rr(s(s(s(s(s(s(a)))))))
| ~ r(s(s(s(s(s(s(a)))))))
| ~ p(s(s(s(s(s(s(a)))))))
| ~ ap(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_16009]) ).
tcf(c_16019,plain,
( ~ aq(s(s(s(s(s(s(a)))))))
| ~ ap(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_16008]) ).
tcf(c_16020,plain,
( ~ r(s(s(s(s(s(s(a)))))))
| ~ q(s(s(s(s(s(s(a)))))))
| ~ ap(s(s(s(s(s(s(a)))))))
| ~ p(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_16007]) ).
tcf(c_16021,plain,
( ~ r(s(s(s(s(s(s(a)))))))
| ~ q(s(s(s(s(s(s(a)))))))
| ~ ap(s(s(s(s(s(s(a)))))))
| ~ pp(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_16006]) ).
tcf(c_16022,plain,
! [X0: $i] :
( ~ ar(s(s(s(s(s(s(X0)))))))
| ~ ap(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_12873]) ).
tcf(c_16023,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(X0)))))))
| ~ qq(s(s(s(s(s(s(X0)))))))
| ~ pp(s(s(s(s(s(s(X0)))))))
| ~ p(s(s(s(s(s(s(X0)))))))
| ~ ap(s(s(s(s(s(s(X0)))))))
| ~ pp(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_10506]) ).
tcf(c_16026,plain,
( r(s(s(s(s(s(s(a)))))))
| ~ qq(s(s(s(s(s(s(a)))))))
| ~ pp(s(s(s(s(s(s(a)))))))
| ~ p(s(s(s(s(s(s(a)))))))
| ~ ap(s(s(s(s(s(s(a)))))))
| ~ pp(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_16023]) ).
tcf(c_16027,plain,
( ~ ar(s(s(s(s(s(s(a)))))))
| ~ ap(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_16022]) ).
tcf(c_16087,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(X0)))))))
| ~ qq(s(s(s(s(s(s(X0)))))))
| ~ pp(s(s(s(s(s(s(X0)))))))
| ~ rr(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_10498]) ).
tcf(c_16574,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(X0)))))))
| pp(s(s(s(s(s(s(X0)))))))
| ~ qq(s(s(s(s(s(s(X0)))))))
| ~ q(s(s(s(s(s(s(X0)))))))
| ~ ar(s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_12595]) ).
tcf(c_16638,plain,
! [X0: $i] :
( r(s(s(s(s(s(X0))))))
| qq(s(s(s(s(s(X0))))))
| q(s(s(s(s(s(X0))))))
| rr(s(s(s(s(s(s(X0)))))))
| ~ rr(s(s(s(s(s(X0))))))
| ~ p(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_12597]) ).
tcf(c_16639,plain,
( r(s(s(s(s(s(a))))))
| qq(s(s(s(s(s(a))))))
| q(s(s(s(s(s(a))))))
| rr(s(s(s(s(s(s(a)))))))
| ~ rr(s(s(s(s(s(a))))))
| ~ p(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_16638]) ).
tcf(c_16783,plain,
! [X0: $i] :
( ~ pr(s(s(s(s(X0)))))
| ~ rq(s(s(s(s(X0)))))
| ~ qp(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_13862]) ).
tcf(c_16785,plain,
! [X0: $i] :
( aq(s(s(X0)))
| ~ pqr3(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_342]) ).
tcf(c_16786,plain,
! [X0: $i] :
( rr(s(s(X0)))
| ~ pqr3(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_341]) ).
tcf(c_16787,plain,
! [X0: $i] :
( ~ pqr3(s(s(X0)))
| ~ r(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_340]) ).
tcf(c_16794,plain,
( aq(s(s(a)))
| ~ pqr3(s(s(a))) ),
inference(instantiation,[status(thm)],[c_16785]) ).
tcf(c_16863,plain,
! [X0: $i] :
( aq(s(s(s(s(X0)))))
| ~ pqr4(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_349]) ).
tcf(c_16864,plain,
! [X0: $i] :
( rr(s(s(s(s(X0)))))
| ~ pqr4(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_348]) ).
tcf(c_16869,plain,
( rr(s(s(s(s(a)))))
| ~ pqr4(s(s(s(s(a))))) ),
inference(instantiation,[status(thm)],[c_16864]) ).
tcf(c_16871,plain,
! [X0: $i] :
( ~ pqr4(s(s(s(s(X0)))))
| ~ pp(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7545]) ).
tcf(c_16872,plain,
! [X0: $i] :
( ~ pqr4(s(s(s(s(X0)))))
| ~ p(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7507]) ).
tcf(c_16873,plain,
( ~ pqr4(s(s(s(s(a)))))
| ~ p(s(s(s(s(a))))) ),
inference(instantiation,[status(thm)],[c_16872]) ).
tcf(c_16875,plain,
! [X0: $i] :
( r(s(s(s(s(X0)))))
| ~ pqr4(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8072]) ).
tcf(c_17044,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(X0)))))))
| q(s(s(s(s(s(s(X0)))))))
| pp(s(s(s(s(s(s(X0)))))))
| p(s(s(s(s(s(s(s(X0))))))))
| ~ qq(s(s(s(s(s(s(X0)))))))
| ~ ap(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_13321]) ).
tcf(c_17045,plain,
( rr(s(s(s(s(s(s(a)))))))
| q(s(s(s(s(s(s(a)))))))
| pp(s(s(s(s(s(s(a)))))))
| p(s(s(s(s(s(s(s(a))))))))
| ~ qq(s(s(s(s(s(s(a)))))))
| ~ ap(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_17044]) ).
tcf(c_17105,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(X0))))))))
| p(s(s(s(s(s(s(s(X0))))))))
| q(s(s(s(s(s(s(s(s(X0)))))))))
| ~ q(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_11428]) ).
tcf(c_17106,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(s(X0))))))))
| q(s(s(s(s(s(s(s(s(X0)))))))))
| ~ qq(s(s(s(s(s(s(s(X0))))))))
| ~ q(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_11427]) ).
tcf(c_17107,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(s(X0))))))))
| ~ qq(s(s(s(s(s(s(s(X0))))))))
| ~ q(s(s(s(s(s(s(s(X0))))))))
| ~ p(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_11426]) ).
tcf(c_17148,plain,
( p(s(s(s(s(s(s(s(a))))))))
| q(s(s(s(s(s(s(s(s(a)))))))))
| ~ qq(s(s(s(s(s(s(s(a))))))))
| ~ q(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_17106]) ).
tcf(c_17149,plain,
( rr(s(s(s(s(s(s(s(a))))))))
| p(s(s(s(s(s(s(s(a))))))))
| q(s(s(s(s(s(s(s(s(a)))))))))
| ~ q(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_17105]) ).
tcf(c_17165,plain,
! [X0: $i] :
( qq(s(s(s(s(s(s(s(X0))))))))
| pp(s(s(s(s(s(s(s(X0))))))))
| p(s(s(s(s(s(s(s(X0))))))))
| ~ rr(s(s(s(s(s(s(s(X0))))))))
| ~ r(s(s(s(s(s(s(s(X0))))))))
| ~ q(s(s(s(s(s(s(s(X0))))))))
| ~ aq(s(s(s(s(s(s(s(X0))))))))
| ~ pr(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_12180]) ).
tcf(c_17166,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(X0))))))))
| r(s(s(s(s(s(s(s(X0))))))))
| qq(s(s(s(s(s(s(s(X0))))))))
| p(s(s(s(s(s(s(s(X0))))))))
| ~ q(s(s(s(s(s(s(s(X0))))))))
| ~ pp(s(s(s(s(s(s(s(X0))))))))
| ~ ar(s(s(s(s(s(s(s(X0))))))))
| ~ qp(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_12179]) ).
tcf(c_17167,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(X0))))))))
| qq(s(s(s(s(s(s(s(X0))))))))
| q(s(s(s(s(s(s(s(X0))))))))
| p(s(s(s(s(s(s(s(X0))))))))
| pr(s(s(s(s(s(s(s(s(X0)))))))))
| ~ r(s(s(s(s(s(s(s(X0))))))))
| ~ pp(s(s(s(s(s(s(s(X0))))))))
| ~ aq(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_12178]) ).
tcf(c_17168,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(X0))))))))
| qq(s(s(s(s(s(s(s(X0))))))))
| pp(s(s(s(s(s(s(s(X0))))))))
| p(s(s(s(s(s(s(s(X0))))))))
| rq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ rr(s(s(s(s(s(s(s(X0))))))))
| ~ q(s(s(s(s(s(s(s(X0))))))))
| ~ ap(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_12177]) ).
tcf(c_17169,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(X0))))))))
| pp(s(s(s(s(s(s(s(X0))))))))
| p(s(s(s(s(s(s(s(X0))))))))
| qp(s(s(s(s(s(s(s(s(X0)))))))))
| ~ r(s(s(s(s(s(s(s(X0))))))))
| ~ qq(s(s(s(s(s(s(s(X0))))))))
| ~ q(s(s(s(s(s(s(s(X0))))))))
| ~ ar(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_12176]) ).
tcf(c_17170,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(X0))))))))
| pp(s(s(s(s(s(s(s(X0))))))))
| p(s(s(s(s(s(s(s(X0))))))))
| qq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ r(s(s(s(s(s(s(s(X0))))))))
| ~ qq(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_12194]) ).
tcf(c_17171,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(X0))))))))
| p(s(s(s(s(s(s(s(X0))))))))
| qq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ r(s(s(s(s(s(s(s(X0))))))))
| ~ qq(s(s(s(s(s(s(s(X0))))))))
| ~ q(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_12193]) ).
tcf(c_17172,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(s(X0))))))))
| ~ rr(s(s(s(s(s(s(s(X0))))))))
| ~ qq(s(s(s(s(s(s(s(X0))))))))
| ~ q(s(s(s(s(s(s(s(X0))))))))
| ~ aq(s(s(s(s(s(s(s(X0))))))))
| ~ qq(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_12192]) ).
tcf(c_17173,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(X0))))))))
| p(s(s(s(s(s(s(s(X0))))))))
| ~ qq(s(s(s(s(s(s(s(X0))))))))
| ~ pp(s(s(s(s(s(s(s(X0))))))))
| ~ aq(s(s(s(s(s(s(s(X0))))))))
| ~ qq(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_12191]) ).
tcf(c_17174,plain,
! [X0: $i] :
( qq(s(s(s(s(s(s(s(X0))))))))
| q(s(s(s(s(s(s(s(X0))))))))
| p(s(s(s(s(s(s(s(X0))))))))
| pp(s(s(s(s(s(s(s(s(X0)))))))))
| ~ r(s(s(s(s(s(s(s(X0))))))))
| ~ pp(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_12190]) ).
tcf(c_17175,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(X0))))))))
| qq(s(s(s(s(s(s(s(X0))))))))
| p(s(s(s(s(s(s(s(X0))))))))
| rr(s(s(s(s(s(s(s(s(X0)))))))))
| ~ q(s(s(s(s(s(s(s(X0))))))))
| ~ ar(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_12189]) ).
tcf(c_17176,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(X0))))))))
| p(s(s(s(s(s(s(s(X0))))))))
| ~ qq(s(s(s(s(s(s(s(X0))))))))
| ~ pp(s(s(s(s(s(s(s(X0))))))))
| ~ ap(s(s(s(s(s(s(s(X0))))))))
| ~ pp(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_12188]) ).
tcf(c_17178,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(X0))))))))
| qq(s(s(s(s(s(s(s(X0))))))))
| p(s(s(s(s(s(s(s(X0))))))))
| r(s(s(s(s(s(s(s(s(X0)))))))))
| ~ pp(s(s(s(s(s(s(s(X0))))))))
| ~ ar(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_12186]) ).
tcf(c_17179,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(X0))))))))
| qq(s(s(s(s(s(s(s(X0))))))))
| p(s(s(s(s(s(s(s(X0))))))))
| qq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ r(s(s(s(s(s(s(s(X0))))))))
| ~ aq(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_12185]) ).
tcf(c_17180,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(X0))))))))
| qq(s(s(s(s(s(s(s(X0))))))))
| p(s(s(s(s(s(s(s(X0))))))))
| q(s(s(s(s(s(s(s(s(X0)))))))))
| ~ pp(s(s(s(s(s(s(s(X0))))))))
| ~ aq(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_12184]) ).
tcf(c_17181,plain,
! [X0: $i] :
( qq(s(s(s(s(s(s(s(X0))))))))
| pp(s(s(s(s(s(s(s(X0))))))))
| p(s(s(s(s(s(s(s(X0))))))))
| qq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ r(s(s(s(s(s(s(s(X0))))))))
| ~ aq(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_12183]) ).
tcf(c_17182,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(X0))))))))
| pp(s(s(s(s(s(s(s(X0))))))))
| p(s(s(s(s(s(s(s(X0))))))))
| rr(s(s(s(s(s(s(s(s(X0)))))))))
| ~ q(s(s(s(s(s(s(s(X0))))))))
| ~ ar(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_12182]) ).
tcf(c_17184,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(X0)))))))
| qq(s(s(s(s(s(s(X0)))))))
| p(s(s(s(s(s(s(s(X0))))))))
| ~ p(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_12253]) ).
tcf(c_17185,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(X0))))))))
| p(s(s(s(s(s(s(s(X0))))))))
| q(s(s(s(s(s(s(s(s(X0)))))))))
| ~ aq(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_12252]) ).
tcf(c_17186,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(X0))))))))
| p(s(s(s(s(s(s(s(X0))))))))
| ~ aq(s(s(s(s(s(s(s(X0))))))))
| ~ qq(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_12251]) ).
tcf(c_17187,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(s(X0))))))))
| ~ r(s(s(s(s(s(s(s(X0))))))))
| ~ pp(s(s(s(s(s(s(s(X0))))))))
| ~ p(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_12203]) ).
tcf(c_17188,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(s(X0))))))))
| ~ q(s(s(s(s(s(s(s(X0))))))))
| ~ pp(s(s(s(s(s(s(s(X0))))))))
| ~ p(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_12202]) ).
tcf(c_17189,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(s(X0))))))))
| q(s(s(s(s(s(s(s(s(X0)))))))))
| ~ q(s(s(s(s(s(s(s(X0))))))))
| ~ pp(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_12201]) ).
tcf(c_17190,plain,
! [X0: $i] :
( qq(s(s(s(s(s(s(s(X0))))))))
| p(s(s(s(s(s(s(s(X0))))))))
| ~ r(s(s(s(s(s(s(s(X0))))))))
| ~ p(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_12200]) ).
tcf(c_17191,plain,
! [X0: $i] :
( qq(s(s(s(s(s(s(s(X0))))))))
| p(s(s(s(s(s(s(s(X0))))))))
| r(s(s(s(s(s(s(s(s(X0)))))))))
| ~ r(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_12199]) ).
tcf(c_17192,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(X0))))))))
| p(s(s(s(s(s(s(s(X0))))))))
| ~ ar(s(s(s(s(s(s(s(X0))))))))
| ~ rr(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_12198]) ).
tcf(c_17194,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(s(X0))))))))
| r(s(s(s(s(s(s(s(s(X0)))))))))
| ~ rr(s(s(s(s(s(s(s(X0))))))))
| ~ r(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_12196]) ).
tcf(c_17196,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(s(X0))))))))
| ap(s(s(s(s(s(s(s(X0))))))))
| ~ p(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_12919]) ).
tcf(c_17197,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(X0)))))))
| p(s(s(s(s(s(s(s(X0))))))))
| ~ p(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_12204]) ).
tcf(c_17198,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(X0))))))))
| q(s(s(s(s(s(s(s(X0))))))))
| pp(s(s(s(s(s(s(s(X0))))))))
| p(s(s(s(s(s(s(s(X0))))))))
| ~ r(s(s(s(s(s(s(s(X0))))))))
| ~ qq(s(s(s(s(s(s(s(X0))))))))
| ~ ap(s(s(s(s(s(s(s(X0))))))))
| ~ rq(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_12149]) ).
tcf(c_17199,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(X0))))))))
| p(s(s(s(s(s(s(s(X0))))))))
| ~ rr(s(s(s(s(s(s(s(X0))))))))
| ~ pp(s(s(s(s(s(s(s(X0))))))))
| ~ ar(s(s(s(s(s(s(s(X0))))))))
| ~ rr(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_12211]) ).
tcf(c_17201,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(X0))))))))
| pp(s(s(s(s(s(s(s(X0))))))))
| p(s(s(s(s(s(s(s(X0))))))))
| rr(s(s(s(s(s(s(s(s(X0)))))))))
| ~ rr(s(s(s(s(s(s(s(X0))))))))
| ~ q(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_12209]) ).
tcf(c_17203,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(X0)))))))
| p(s(s(s(s(s(s(s(X0))))))))
| ~ rr(s(s(s(s(s(s(X0)))))))
| ~ p(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_12257]) ).
tcf(c_17204,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(X0)))))))
| p(s(s(s(s(s(s(s(X0))))))))
| ~ pp(s(s(s(s(s(s(X0)))))))
| ~ p(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_12256]) ).
tcf(c_17205,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(X0)))))))
| q(s(s(s(s(s(s(X0)))))))
| p(s(s(s(s(s(s(s(X0))))))))
| ~ ap(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_12255]) ).
tcf(c_17206,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(X0)))))))
| q(s(s(s(s(s(s(X0)))))))
| p(s(s(s(s(s(s(s(X0))))))))
| ~ p(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_12254]) ).
tcf(c_17208,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(X0)))))))
| p(s(s(s(s(s(s(s(X0))))))))
| ~ qq(s(s(s(s(s(s(X0)))))))
| ~ p(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_12207]) ).
tcf(c_17209,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(X0)))))))
| p(s(s(s(s(s(s(s(X0))))))))
| ~ pp(s(s(s(s(s(s(X0)))))))
| ~ p(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_12206]) ).
tcf(c_17212,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(s(X0))))))))
| ~ pqr3(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_12175]) ).
tcf(c_17216,plain,
( p(s(s(s(s(s(s(s(a))))))))
| ~ pqr3(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_17212]) ).
tcf(c_17218,plain,
( q(s(s(s(s(s(s(a)))))))
| p(s(s(s(s(s(s(s(a))))))))
| ~ pp(s(s(s(s(s(s(a)))))))
| ~ p(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_17209]) ).
tcf(c_17219,plain,
( q(s(s(s(s(s(s(a)))))))
| p(s(s(s(s(s(s(s(a))))))))
| ~ qq(s(s(s(s(s(s(a)))))))
| ~ p(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_17208]) ).
tcf(c_17222,plain,
( r(s(s(s(s(s(s(a)))))))
| q(s(s(s(s(s(s(a)))))))
| p(s(s(s(s(s(s(s(a))))))))
| ~ ap(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_17205]) ).
tcf(c_17223,plain,
( r(s(s(s(s(s(s(a)))))))
| p(s(s(s(s(s(s(s(a))))))))
| ~ pp(s(s(s(s(s(s(a)))))))
| ~ p(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_17204]) ).
tcf(c_17224,plain,
( r(s(s(s(s(s(s(a)))))))
| p(s(s(s(s(s(s(s(a))))))))
| ~ rr(s(s(s(s(s(s(a)))))))
| ~ p(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_17203]) ).
tcf(c_17231,plain,
( p(s(s(s(s(s(s(s(a))))))))
| ap(s(s(s(s(s(s(s(a))))))))
| ~ p(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_17196]) ).
tcf(c_17238,plain,
( p(s(s(s(s(s(s(s(a))))))))
| q(s(s(s(s(s(s(s(s(a)))))))))
| ~ q(s(s(s(s(s(s(s(a))))))))
| ~ pp(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_17189]) ).
tcf(c_17241,plain,
( r(s(s(s(s(s(s(s(a))))))))
| p(s(s(s(s(s(s(s(a))))))))
| ~ aq(s(s(s(s(s(s(s(a))))))))
| ~ qq(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_17186]) ).
tcf(c_17242,plain,
( r(s(s(s(s(s(s(s(a))))))))
| p(s(s(s(s(s(s(s(a))))))))
| q(s(s(s(s(s(s(s(s(a)))))))))
| ~ aq(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_17185]) ).
tcf(c_17243,plain,
( r(s(s(s(s(s(s(a)))))))
| qq(s(s(s(s(s(s(a)))))))
| p(s(s(s(s(s(s(s(a))))))))
| ~ p(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_17184]) ).
tcf(c_17246,plain,
( qq(s(s(s(s(s(s(s(a))))))))
| pp(s(s(s(s(s(s(s(a))))))))
| p(s(s(s(s(s(s(s(a))))))))
| qq(s(s(s(s(s(s(s(s(a)))))))))
| ~ r(s(s(s(s(s(s(s(a))))))))
| ~ aq(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_17181]) ).
tcf(c_17247,plain,
( rr(s(s(s(s(s(s(s(a))))))))
| qq(s(s(s(s(s(s(s(a))))))))
| p(s(s(s(s(s(s(s(a))))))))
| q(s(s(s(s(s(s(s(s(a)))))))))
| ~ pp(s(s(s(s(s(s(s(a))))))))
| ~ aq(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_17180]) ).
tcf(c_17248,plain,
( rr(s(s(s(s(s(s(s(a))))))))
| qq(s(s(s(s(s(s(s(a))))))))
| p(s(s(s(s(s(s(s(a))))))))
| qq(s(s(s(s(s(s(s(s(a)))))))))
| ~ r(s(s(s(s(s(s(s(a))))))))
| ~ aq(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_17179]) ).
tcf(c_17254,plain,
( q(s(s(s(s(s(s(s(a))))))))
| p(s(s(s(s(s(s(s(a))))))))
| ~ qq(s(s(s(s(s(s(s(a))))))))
| ~ pp(s(s(s(s(s(s(s(a))))))))
| ~ aq(s(s(s(s(s(s(s(a))))))))
| ~ qq(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_17173]) ).
tcf(c_17255,plain,
( p(s(s(s(s(s(s(s(a))))))))
| ~ rr(s(s(s(s(s(s(s(a))))))))
| ~ qq(s(s(s(s(s(s(s(a))))))))
| ~ q(s(s(s(s(s(s(s(a))))))))
| ~ aq(s(s(s(s(s(s(s(a))))))))
| ~ qq(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_17172]) ).
tcf(c_17256,plain,
( rr(s(s(s(s(s(s(s(a))))))))
| p(s(s(s(s(s(s(s(a))))))))
| qq(s(s(s(s(s(s(s(s(a)))))))))
| ~ r(s(s(s(s(s(s(s(a))))))))
| ~ qq(s(s(s(s(s(s(s(a))))))))
| ~ q(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_17171]) ).
tcf(c_17257,plain,
( q(s(s(s(s(s(s(s(a))))))))
| pp(s(s(s(s(s(s(s(a))))))))
| p(s(s(s(s(s(s(s(a))))))))
| qq(s(s(s(s(s(s(s(s(a)))))))))
| ~ r(s(s(s(s(s(s(s(a))))))))
| ~ qq(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_17170]) ).
tcf(c_17260,plain,
( rr(s(s(s(s(s(s(s(a))))))))
| qq(s(s(s(s(s(s(s(a))))))))
| q(s(s(s(s(s(s(s(a))))))))
| p(s(s(s(s(s(s(s(a))))))))
| pr(s(s(s(s(s(s(s(s(a)))))))))
| ~ r(s(s(s(s(s(s(s(a))))))))
| ~ pp(s(s(s(s(s(s(s(a))))))))
| ~ aq(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_17167]) ).
tcf(c_17324,plain,
! [X0: $i] :
( aq(s(s(s(s(s(s(s(X0))))))))
| ~ ap(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_15384]) ).
tcf(c_17325,plain,
( aq(s(s(s(s(s(s(s(a))))))))
| ~ ap(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_17324]) ).
tcf(c_17380,plain,
! [X0: $i] :
( ~ rpq1(s(s(s(X0))))
| ~ pp(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_12704]) ).
tcf(c_17381,plain,
! [X0: $i] :
( ap(s(s(s(X0))))
| ~ rpq1(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_12703]) ).
tcf(c_17391,plain,
! [X0: $i] :
( rq(s(s(s(s(s(X0))))))
| rpq2(s(s(s(s(s(X0))))))
| rpq1(s(s(s(s(s(X0))))))
| ~ rq(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_13850]) ).
tcf(c_17699,plain,
! [X0: $i] :
( qq(s(s(s(s(s(s(s(X0))))))))
| ~ rr(s(s(s(s(s(s(s(X0))))))))
| ~ pp(s(s(s(s(s(s(s(X0))))))))
| ~ qq(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_10512]) ).
tcf(c_17700,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(s(X0))))))))
| pp(s(s(s(s(s(s(s(s(X0)))))))))
| ~ pp(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_10477]) ).
tcf(c_17701,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(X0))))))))
| ~ pp(s(s(s(s(s(s(s(X0))))))))
| ~ p(s(s(s(s(s(s(s(X0))))))))
| ~ q(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_10550]) ).
tcf(c_17702,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(X0)))))))
| ~ rr(s(s(s(s(s(s(X0)))))))
| ~ pp(s(s(s(s(s(s(X0)))))))
| ~ p(s(s(s(s(s(s(X0)))))))
| ~ ap(s(s(s(s(s(s(X0)))))))
| ~ pp(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_7820]) ).
tcf(c_17703,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(X0)))))))
| q(s(s(s(s(s(s(X0)))))))
| ~ ap(s(s(s(s(s(s(X0)))))))
| ~ pp(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_8062]) ).
tcf(c_17704,plain,
( r(s(s(s(s(s(s(a)))))))
| q(s(s(s(s(s(s(a)))))))
| ~ ap(s(s(s(s(s(s(a)))))))
| ~ pp(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_17703]) ).
tcf(c_17706,plain,
( q(s(s(s(s(s(s(s(a))))))))
| ~ pp(s(s(s(s(s(s(s(a))))))))
| ~ p(s(s(s(s(s(s(s(a))))))))
| ~ q(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_17701]) ).
tcf(c_17707,plain,
( ap(s(s(s(s(s(s(s(a))))))))
| pp(s(s(s(s(s(s(s(s(a)))))))))
| ~ pp(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_17700]) ).
tcf(c_17708,plain,
( qq(s(s(s(s(s(s(s(a))))))))
| ~ rr(s(s(s(s(s(s(s(a))))))))
| ~ pp(s(s(s(s(s(s(s(a))))))))
| ~ qq(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_17699]) ).
tcf(c_17709,plain,
! [X0: $i] :
( pp(s(s(s(s(s(s(X0)))))))
| ap(s(s(s(s(s(s(X0)))))))
| ~ pp(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_8705]) ).
tcf(c_17711,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(X0))))))))
| ~ qq(s(s(s(s(s(s(s(X0))))))))
| ~ pp(s(s(s(s(s(s(s(X0))))))))
| ~ rr(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_16087]) ).
tcf(c_17712,plain,
! [X0: $i] :
( pp(s(s(s(s(s(s(X0)))))))
| ~ rr(s(s(s(s(s(s(X0)))))))
| ~ qq(s(s(s(s(s(s(X0)))))))
| ~ pp(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_10507]) ).
tcf(c_17713,plain,
( pp(s(s(s(s(s(s(a)))))))
| ~ rr(s(s(s(s(s(s(a)))))))
| ~ qq(s(s(s(s(s(s(a)))))))
| ~ pp(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_17712]) ).
tcf(c_17914,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(X0))))))))
| ~ qq(s(s(s(s(s(s(s(X0))))))))
| ~ pp(s(s(s(s(s(s(s(X0))))))))
| ~ p(s(s(s(s(s(s(s(X0))))))))
| ~ ap(s(s(s(s(s(s(s(X0))))))))
| ~ pp(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_16023]) ).
tcf(c_17921,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(X0)))))))
| rr(s(s(s(s(s(s(s(X0))))))))
| ~ rr(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_14069]) ).
tcf(c_17922,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(X0)))))))
| ar(s(s(s(s(s(s(X0)))))))
| ~ rr(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_12574]) ).
tcf(c_17923,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(X0)))))))
| ~ aq(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_9766]) ).
tcf(c_17925,plain,
( rr(s(s(s(s(s(s(a)))))))
| ar(s(s(s(s(s(s(a)))))))
| ~ rr(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_17922]) ).
tcf(c_17926,plain,
( ar(s(s(s(s(s(s(a)))))))
| rr(s(s(s(s(s(s(s(a))))))))
| ~ rr(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_17921]) ).
tcf(c_17976,plain,
! [X0: $i] :
( rpq4(s(s(s(s(s(s(X0)))))))
| rpq3(s(s(s(s(s(s(X0)))))))
| rq(s(s(s(s(s(s(s(X0))))))))
| ~ rq(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_10916]) ).
tcf(c_17977,plain,
( rpq4(s(s(s(s(s(s(a)))))))
| rpq3(s(s(s(s(s(s(a)))))))
| rq(s(s(s(s(s(s(s(a))))))))
| ~ rq(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_17976]) ).
tcf(c_17978,plain,
! [X0: $i] :
( pr(s(s(s(s(s(s(s(X0))))))))
| rq(s(s(s(s(s(s(s(X0))))))))
| qp(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_13855]) ).
tcf(c_18132,plain,
! [X0: $i] :
( aq(s(X0))
| ~ pqr2(s(X0)) ),
inference(instantiation,[status(thm)],[c_335]) ).
tcf(c_18137,plain,
! [X0: $i] :
( p(s(X0))
| ~ pqr2(s(X0)) ),
inference(instantiation,[status(thm)],[c_329]) ).
tcf(c_18178,plain,
! [X0: $i] :
( aq(s(s(s(s(s(X0))))))
| ~ pqr4(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_16863]) ).
tcf(c_18179,plain,
( aq(s(s(s(s(s(a))))))
| ~ pqr4(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_18178]) ).
tcf(c_18197,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(X0)))))))
| ~ pqr4(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_16864]) ).
tcf(c_18289,plain,
! [X0: $i] :
( ~ pqr4(s(s(s(s(s(s(s(X0))))))))
| ~ pp(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_16871]) ).
tcf(c_18458,plain,
! [X0: $i] :
( ~ pr(s(s(s(s(s(X0))))))
| ~ rq(s(s(s(s(s(X0))))))
| ~ qp(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_16783]) ).
tcf(c_18462,plain,
! [X0: $i] :
( rpq4(s(s(s(s(s(X0))))))
| rpq3(s(s(s(s(s(X0))))))
| rq(s(s(s(s(s(s(X0)))))))
| ~ rq(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_10916]) ).
tcf(c_18463,plain,
( rpq4(s(s(s(s(s(a))))))
| rpq3(s(s(s(s(s(a))))))
| rq(s(s(s(s(s(s(a)))))))
| ~ rq(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_18462]) ).
tcf(c_18465,plain,
! [X0: $i] :
( rr(s(s(X0)))
| r(s(s(X0)))
| q(s(s(X0)))
| pp(s(s(X0)))
| qp(s(s(s(X0))))
| ~ qq(s(s(X0)))
| ~ p(s(s(X0)))
| ~ ar(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_511]) ).
tcf(c_18471,plain,
! [X0: $i] :
( r(s(s(X0)))
| p(s(s(X0)))
| ~ rr(s(s(X0)))
| ~ pp(s(s(X0)))
| ~ ar(s(s(X0)))
| ~ rr(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1119]) ).
tcf(c_18475,plain,
! [X0: $i] :
( r(s(s(X0)))
| pp(s(s(X0)))
| p(s(s(X0)))
| rr(s(s(s(X0))))
| ~ rr(s(s(X0)))
| ~ q(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_990]) ).
tcf(c_18483,plain,
! [X0: $i] :
( r(s(s(X0)))
| ~ rr(s(s(X0)))
| ~ q(s(s(X0)))
| ~ r(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1122]) ).
tcf(c_18486,plain,
! [X0: $i] :
( r(s(s(X0)))
| pp(s(s(X0)))
| ~ q(s(s(X0)))
| ~ r(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1056]) ).
tcf(c_18518,plain,
( r(s(s(a)))
| ~ rr(s(s(a)))
| ~ q(s(s(a)))
| ~ r(s(s(s(a)))) ),
inference(instantiation,[status(thm)],[c_18483]) ).
tcf(c_18530,plain,
( r(s(s(a)))
| p(s(s(a)))
| ~ rr(s(s(a)))
| ~ pp(s(s(a)))
| ~ ar(s(s(a)))
| ~ rr(s(s(s(a)))) ),
inference(instantiation,[status(thm)],[c_18471]) ).
tcf(c_18539,plain,
! [X0: $i] :
( p(s(X0))
| r(s(s(X0)))
| ~ r(s(X0))
| ~ pp(s(X0)) ),
inference(instantiation,[status(thm)],[c_1241]) ).
tcf(c_18540,plain,
! [X0: $i] :
( q(s(X0))
| r(s(s(X0)))
| ~ r(s(X0))
| ~ qq(s(X0)) ),
inference(instantiation,[status(thm)],[c_1233]) ).
tcf(c_18541,plain,
! [X0: $i] :
( p(s(X0))
| r(s(s(X0)))
| ~ rr(s(X0))
| ~ r(s(X0)) ),
inference(instantiation,[status(thm)],[c_1124]) ).
tcf(c_18544,plain,
! [X0: $i] :
( q(s(X0))
| p(s(X0))
| r(s(s(X0)))
| ~ ar(s(X0)) ),
inference(instantiation,[status(thm)],[c_847]) ).
tcf(c_18546,plain,
! [X0: $i] :
( ar(s(X0))
| r(s(s(X0)))
| ~ r(s(X0)) ),
inference(instantiation,[status(thm)],[c_522]) ).
tcf(c_18547,plain,
( ar(s(a))
| r(s(s(a)))
| ~ r(s(a)) ),
inference(instantiation,[status(thm)],[c_18546]) ).
tcf(c_18597,plain,
! [X0: $i] :
( ~ rpq2(s(s(X0)))
| ~ pp(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_7541]) ).
tcf(c_18602,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(X0))))))))
| qq(s(s(s(s(s(s(s(X0))))))))
| q(s(s(s(s(s(s(s(X0))))))))
| rr(s(s(s(s(s(s(s(s(X0)))))))))
| ~ rr(s(s(s(s(s(s(s(X0))))))))
| ~ p(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_16638]) ).
tcf(c_18604,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(X0))))))))
| ~ qq(s(s(s(s(s(s(s(X0))))))))
| ~ p(s(s(s(s(s(s(s(X0))))))))
| ~ q(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_14878]) ).
tcf(c_18605,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(X0))))))))
| ~ r(s(s(s(s(s(s(s(X0))))))))
| ~ qq(s(s(s(s(s(s(s(X0))))))))
| ~ q(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_14880]) ).
tcf(c_18606,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(X0))))))))
| aq(s(s(s(s(s(s(s(X0))))))))
| ~ q(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_15383]) ).
tcf(c_18607,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(X0)))))))
| pp(s(s(s(s(s(s(X0)))))))
| q(s(s(s(s(s(s(s(X0))))))))
| ~ q(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_13324]) ).
tcf(c_18608,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(X0))))))))
| q(s(s(s(s(s(s(s(X0))))))))
| pp(s(s(s(s(s(s(s(X0))))))))
| rr(s(s(s(s(s(s(s(s(X0)))))))))
| ~ p(s(s(s(s(s(s(s(X0))))))))
| ~ ar(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_12596]) ).
tcf(c_18609,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(X0))))))))
| ~ rr(s(s(s(s(s(s(s(X0))))))))
| ~ r(s(s(s(s(s(s(s(X0))))))))
| ~ pp(s(s(s(s(s(s(s(X0))))))))
| ~ ar(s(s(s(s(s(s(s(X0))))))))
| ~ rr(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_12871]) ).
tcf(c_18610,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(X0))))))))
| r(s(s(s(s(s(s(s(X0))))))))
| q(s(s(s(s(s(s(s(X0))))))))
| pp(s(s(s(s(s(s(s(X0))))))))
| qp(s(s(s(s(s(s(s(s(X0)))))))))
| ~ qq(s(s(s(s(s(s(s(X0))))))))
| ~ p(s(s(s(s(s(s(s(X0))))))))
| ~ ar(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_12579]) ).
tcf(c_18612,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(X0))))))))
| r(s(s(s(s(s(s(s(X0))))))))
| q(s(s(s(s(s(s(s(X0))))))))
| qq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ qq(s(s(s(s(s(s(s(X0))))))))
| ~ p(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_12581]) ).
tcf(c_18613,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(X0))))))))
| q(s(s(s(s(s(s(s(X0))))))))
| pp(s(s(s(s(s(s(s(X0))))))))
| pp(s(s(s(s(s(s(s(s(X0)))))))))
| ~ r(s(s(s(s(s(s(s(X0))))))))
| ~ ap(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_12576]) ).
tcf(c_18615,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(X0))))))))
| q(s(s(s(s(s(s(s(X0))))))))
| p(s(s(s(s(s(s(s(s(X0)))))))))
| ~ ap(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_11690]) ).
tcf(c_18616,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(X0))))))))
| q(s(s(s(s(s(s(s(X0))))))))
| p(s(s(s(s(s(s(s(s(X0)))))))))
| ~ p(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_11689]) ).
tcf(c_18617,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(X0))))))))
| p(s(s(s(s(s(s(s(s(X0)))))))))
| ~ qq(s(s(s(s(s(s(s(X0))))))))
| ~ p(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_11644]) ).
tcf(c_18618,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(X0))))))))
| p(s(s(s(s(s(s(s(s(X0)))))))))
| ~ pp(s(s(s(s(s(s(s(X0))))))))
| ~ p(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_11643]) ).
tcf(c_18619,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(X0))))))))
| q(s(s(s(s(s(s(s(X0))))))))
| p(s(s(s(s(s(s(s(s(X0)))))))))
| ~ p(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_11642]) ).
tcf(c_18621,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(X0)))))))
| qq(s(s(s(s(s(s(X0)))))))
| pp(s(s(s(s(s(s(X0)))))))
| q(s(s(s(s(s(s(s(X0))))))))
| ~ rr(s(s(s(s(s(s(X0)))))))
| ~ aq(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_8718]) ).
tcf(c_18625,plain,
( q(s(s(s(s(s(s(s(a))))))))
| p(s(s(s(s(s(s(s(s(a)))))))))
| ~ pp(s(s(s(s(s(s(s(a))))))))
| ~ p(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_18618]) ).
tcf(c_18631,plain,
( rr(s(s(s(s(s(s(s(a))))))))
| r(s(s(s(s(s(s(s(a))))))))
| q(s(s(s(s(s(s(s(a))))))))
| qq(s(s(s(s(s(s(s(s(a)))))))))
| ~ qq(s(s(s(s(s(s(s(a))))))))
| ~ p(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_18612]) ).
tcf(c_18638,plain,
( q(s(s(s(s(s(s(s(a))))))))
| ~ r(s(s(s(s(s(s(s(a))))))))
| ~ qq(s(s(s(s(s(s(s(a))))))))
| ~ q(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_18605]) ).
tcf(c_18642,plain,
! [X0: $i] :
( qq(s(s(s(s(s(s(s(X0))))))))
| q(s(s(s(s(s(s(s(X0))))))))
| pp(s(s(s(s(s(s(s(X0))))))))
| rq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ rr(s(s(s(s(s(s(s(X0))))))))
| ~ r(s(s(s(s(s(s(s(X0))))))))
| ~ p(s(s(s(s(s(s(s(X0))))))))
| ~ ap(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_16009]) ).
tcf(c_18644,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(X0))))))))
| qq(s(s(s(s(s(s(s(X0))))))))
| q(s(s(s(s(s(s(s(X0))))))))
| rr(s(s(s(s(s(s(s(s(X0)))))))))
| ~ p(s(s(s(s(s(s(s(X0))))))))
| ~ ar(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_15748]) ).
tcf(c_18645,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(X0))))))))
| q(s(s(s(s(s(s(s(X0))))))))
| pp(s(s(s(s(s(s(s(X0))))))))
| r(s(s(s(s(s(s(s(s(X0)))))))))
| ~ qq(s(s(s(s(s(s(s(X0))))))))
| ~ ar(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_15306]) ).
tcf(c_18647,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(X0))))))))
| q(s(s(s(s(s(s(s(X0))))))))
| ~ p(s(s(s(s(s(s(s(X0))))))))
| ~ q(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_14228]) ).
tcf(c_18649,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(X0)))))))
| q(s(s(s(s(s(s(s(X0))))))))
| ~ rr(s(s(s(s(s(s(X0)))))))
| ~ q(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_10571]) ).
tcf(c_18650,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(X0)))))))
| q(s(s(s(s(s(s(s(X0))))))))
| ~ qq(s(s(s(s(s(s(X0)))))))
| ~ q(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_10569]) ).
tcf(c_18654,plain,
! [X0: $i] :
( aq(s(s(s(s(s(s(X0)))))))
| q(s(s(s(s(s(s(s(X0))))))))
| ~ q(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_10522]) ).
tcf(c_18655,plain,
( aq(s(s(s(s(s(s(a)))))))
| q(s(s(s(s(s(s(s(a))))))))
| ~ q(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_18654]) ).
tcf(c_18661,plain,
( rr(s(s(s(s(s(s(s(a))))))))
| q(s(s(s(s(s(s(s(a))))))))
| ~ p(s(s(s(s(s(s(s(a))))))))
| ~ q(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_18647]) ).
tcf(c_18845,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(X0))))))))
| q(s(s(s(s(s(s(s(X0))))))))
| ~ ap(s(s(s(s(s(s(s(X0))))))))
| ~ pp(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_17703]) ).
tcf(c_18852,plain,
! [X0: $i] :
( ap(s(s(s(s(X0)))))
| ~ rpq1(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_17381]) ).
tcf(c_18952,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(X0))))))))
| ~ qq(s(s(s(s(s(s(s(X0))))))))
| ~ q(s(s(s(s(s(s(s(X0))))))))
| ~ pp(s(s(s(s(s(s(s(X0))))))))
| ~ aq(s(s(s(s(s(s(s(X0))))))))
| ~ qq(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_14899]) ).
tcf(c_18953,plain,
! [X0: $i] :
( ~ ar(s(s(s(s(s(s(s(X0))))))))
| ~ aq(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_12878]) ).
tcf(c_18954,plain,
( ~ ar(s(s(s(s(s(s(s(a))))))))
| ~ aq(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_18953]) ).
tcf(c_18955,plain,
( r(s(s(s(s(s(s(s(a))))))))
| ~ qq(s(s(s(s(s(s(s(a))))))))
| ~ q(s(s(s(s(s(s(s(a))))))))
| ~ pp(s(s(s(s(s(s(s(a))))))))
| ~ aq(s(s(s(s(s(s(s(a))))))))
| ~ qq(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_18952]) ).
tcf(c_18956,plain,
! [X0: $i] :
( ~ aq(s(s(s(s(s(s(s(X0))))))))
| ~ ap(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_16008]) ).
tcf(c_18957,plain,
( ~ aq(s(s(s(s(s(s(s(a))))))))
| ~ ap(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_18956]) ).
tcf(c_18962,plain,
! [X0: $i] :
( rq(s(s(s(s(s(s(s(X0))))))))
| rpq2(s(s(s(s(s(s(s(X0))))))))
| rpq1(s(s(s(s(s(s(s(X0))))))))
| ~ rq(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_17391]) ).
tcf(c_18963,plain,
( rq(s(s(s(s(s(s(s(a))))))))
| rpq2(s(s(s(s(s(s(s(a))))))))
| rpq1(s(s(s(s(s(s(s(a))))))))
| ~ rq(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_18962]) ).
tcf(c_18966,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(X0))))))))
| ~ r(s(s(s(s(s(s(s(X0))))))))
| ~ p(s(s(s(s(s(s(s(X0))))))))
| ~ q(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_11221]) ).
tcf(c_18967,plain,
! [X0: $i] :
( ~ pqr3(s(s(s(s(s(s(s(X0))))))))
| ~ r(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_9548]) ).
tcf(c_18968,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(X0))))))))
| r(s(s(s(s(s(s(s(s(X0)))))))))
| ~ rr(s(s(s(s(s(s(s(X0))))))))
| ~ r(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_8835]) ).
tcf(c_18969,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(s(X0))))))))
| r(s(s(s(s(s(s(s(s(X0)))))))))
| ~ r(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_8605]) ).
tcf(c_18970,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(X0))))))))
| ~ rr(s(s(s(s(s(s(s(X0))))))))
| ~ r(s(s(s(s(s(s(s(X0))))))))
| ~ q(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_8243]) ).
tcf(c_18971,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(X0)))))))
| qq(s(s(s(s(s(s(X0)))))))
| ~ pp(s(s(s(s(s(s(X0)))))))
| ~ p(s(s(s(s(s(s(X0)))))))
| ~ ar(s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_7650]) ).
tcf(c_18973,plain,
( q(s(s(s(s(s(s(s(a))))))))
| ~ rr(s(s(s(s(s(s(s(a))))))))
| ~ r(s(s(s(s(s(s(s(a))))))))
| ~ q(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_18970]) ).
tcf(c_18974,plain,
( ar(s(s(s(s(s(s(s(a))))))))
| r(s(s(s(s(s(s(s(s(a)))))))))
| ~ r(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_18969]) ).
tcf(c_18976,plain,
( ~ pqr3(s(s(s(s(s(s(s(a))))))))
| ~ r(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_18967]) ).
tcf(c_18980,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(X0))))))))
| pp(s(s(s(s(s(s(s(X0))))))))
| ~ r(s(s(s(s(s(s(s(X0))))))))
| ~ q(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_10543]) ).
tcf(c_18981,plain,
! [X0: $i] :
( ~ r(s(s(s(s(s(s(s(X0))))))))
| ~ p(s(s(s(s(s(s(s(X0))))))))
| ~ aq(s(s(s(s(s(s(s(X0))))))))
| ~ q(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_10554]) ).
tcf(c_18982,plain,
! [X0: $i] :
( ~ r(s(s(s(s(s(s(s(X0))))))))
| ~ p(s(s(s(s(s(s(s(X0))))))))
| ~ aq(s(s(s(s(s(s(s(X0))))))))
| ~ qq(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_10501]) ).
tcf(c_18985,plain,
! [X0: $i] :
( qq(s(s(s(s(s(s(s(X0))))))))
| pp(s(s(s(s(s(s(s(X0))))))))
| ~ rr(s(s(s(s(s(s(s(X0))))))))
| ~ r(s(s(s(s(s(s(s(X0))))))))
| ~ aq(s(s(s(s(s(s(s(X0))))))))
| ~ q(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_8721]) ).
tcf(c_18986,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(X0))))))))
| pp(s(s(s(s(s(s(s(X0))))))))
| rr(s(s(s(s(s(s(s(s(X0)))))))))
| ~ rr(s(s(s(s(s(s(s(X0))))))))
| ~ r(s(s(s(s(s(s(s(X0))))))))
| ~ p(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_8706]) ).
tcf(c_18987,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(X0))))))))
| pp(s(s(s(s(s(s(s(X0))))))))
| r(s(s(s(s(s(s(s(s(X0)))))))))
| ~ r(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_8851]) ).
tcf(c_18989,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(X0)))))))
| qq(s(s(s(s(s(s(X0)))))))
| ~ p(s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_8130]) ).
tcf(c_18991,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(X0)))))))
| ar(s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_8067]) ).
tcf(c_18992,plain,
( r(s(s(s(s(s(s(a)))))))
| ar(s(s(s(s(s(s(a)))))))
| ~ r(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_18991]) ).
tcf(c_18996,plain,
( qq(s(s(s(s(s(s(s(a))))))))
| pp(s(s(s(s(s(s(s(a))))))))
| ~ rr(s(s(s(s(s(s(s(a))))))))
| ~ r(s(s(s(s(s(s(s(a))))))))
| ~ aq(s(s(s(s(s(s(s(a))))))))
| ~ q(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_18985]) ).
tcf(c_18997,plain,
( ~ r(s(s(s(s(s(s(s(a))))))))
| ~ p(s(s(s(s(s(s(s(a))))))))
| ~ aq(s(s(s(s(s(s(s(a))))))))
| ~ qq(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_18982]) ).
tcf(c_18998,plain,
( ~ r(s(s(s(s(s(s(s(a))))))))
| ~ p(s(s(s(s(s(s(s(a))))))))
| ~ aq(s(s(s(s(s(s(s(a))))))))
| ~ q(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_18981]) ).
tcf(c_18999,plain,
( q(s(s(s(s(s(s(s(a))))))))
| pp(s(s(s(s(s(s(s(a))))))))
| ~ r(s(s(s(s(s(s(s(a))))))))
| ~ q(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_18980]) ).
tcf(c_19001,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(X0)))))))
| ~ pp(s(s(s(s(s(s(X0)))))))
| ~ p(s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_8621]) ).
tcf(c_19006,plain,
! [X0: $i] :
( ~ r(s(s(s(s(s(s(s(X0))))))))
| ~ q(s(s(s(s(s(s(s(X0))))))))
| ~ ap(s(s(s(s(s(s(s(X0))))))))
| ~ p(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_16007]) ).
tcf(c_19007,plain,
! [X0: $i] :
( ~ r(s(s(s(s(s(s(s(X0))))))))
| ~ q(s(s(s(s(s(s(s(X0))))))))
| ~ ap(s(s(s(s(s(s(s(X0))))))))
| ~ pp(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_16006]) ).
tcf(c_19008,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(X0)))))))
| ~ q(s(s(s(s(s(s(X0)))))))
| ~ p(s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_10581]) ).
tcf(c_19010,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(X0)))))))
| ~ rr(s(s(s(s(s(s(X0)))))))
| ~ q(s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_10568]) ).
tcf(c_19011,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(X0)))))))
| pp(s(s(s(s(s(s(X0)))))))
| ~ q(s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_10566]) ).
tcf(c_19012,plain,
! [X0: $i] :
( ~ q(s(s(s(s(s(s(X0)))))))
| ~ p(s(s(s(s(s(s(X0)))))))
| ~ ar(s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_10549]) ).
tcf(c_19544,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(X0))))))))
| p(s(s(s(s(s(s(s(s(X0)))))))))
| ~ pp(s(s(s(s(s(s(s(X0))))))))
| ~ p(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_17204]) ).
tcf(c_20032,plain,
! [X0: $i] :
( pr(s(s(s(s(s(s(X0)))))))
| rq(s(s(s(s(s(s(X0)))))))
| qp(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_13855]) ).
tcf(c_20082,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(X0))))))))
| q(s(s(s(s(s(s(s(X0))))))))
| pp(s(s(s(s(s(s(s(X0))))))))
| p(s(s(s(s(s(s(s(s(X0)))))))))
| ~ qq(s(s(s(s(s(s(s(X0))))))))
| ~ ap(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_17044]) ).
tcf(c_20271,plain,
! [X0: $i] :
( qq(s(s(s(s(s(s(s(s(X0)))))))))
| aq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_15382]) ).
tcf(c_20272,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(X0))))))))
| pp(s(s(s(s(s(s(s(X0))))))))
| qq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ qq(s(s(s(s(s(s(s(X0))))))))
| ~ q(s(s(s(s(s(s(s(X0))))))))
| ~ p(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_13322]) ).
tcf(c_20273,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(X0)))))))))
| r(s(s(s(s(s(s(s(s(X0)))))))))
| qq(s(s(s(s(s(s(s(s(X0)))))))))
| pr(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ q(s(s(s(s(s(s(s(s(X0)))))))))
| ~ pp(s(s(s(s(s(s(s(s(X0)))))))))
| ~ p(s(s(s(s(s(s(s(s(X0)))))))))
| ~ aq(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_12577]) ).
tcf(c_20274,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(X0)))))))))
| qq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ pp(s(s(s(s(s(s(s(s(X0)))))))))
| ~ p(s(s(s(s(s(s(s(s(X0)))))))))
| ~ aq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ q(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_12751]) ).
tcf(c_20276,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(X0)))))))))
| qq(s(s(s(s(s(s(s(s(X0)))))))))
| pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ q(s(s(s(s(s(s(s(s(X0)))))))))
| ~ pp(s(s(s(s(s(s(s(s(X0)))))))))
| ~ p(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_10562]) ).
tcf(c_20277,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(X0)))))))))
| qq(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ p(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_11688]) ).
tcf(c_20278,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(X0))))))))
| qq(s(s(s(s(s(s(s(X0))))))))
| pp(s(s(s(s(s(s(s(X0))))))))
| qq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ p(s(s(s(s(s(s(s(X0))))))))
| ~ aq(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_8717]) ).
tcf(c_20279,plain,
( r(s(s(s(s(s(s(s(a))))))))
| qq(s(s(s(s(s(s(s(a))))))))
| pp(s(s(s(s(s(s(s(a))))))))
| qq(s(s(s(s(s(s(s(s(a)))))))))
| ~ p(s(s(s(s(s(s(s(a))))))))
| ~ aq(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_20278]) ).
tcf(c_20285,plain,
( r(s(s(s(s(s(s(s(a))))))))
| pp(s(s(s(s(s(s(s(a))))))))
| qq(s(s(s(s(s(s(s(s(a)))))))))
| ~ qq(s(s(s(s(s(s(s(a))))))))
| ~ q(s(s(s(s(s(s(s(a))))))))
| ~ p(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_20272]) ).
tcf(c_20286,plain,
( qq(s(s(s(s(s(s(s(s(a)))))))))
| aq(s(s(s(s(s(s(s(s(a)))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_20271]) ).
tcf(c_20288,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(X0)))))))))
| qq(s(s(s(s(s(s(s(s(X0)))))))))
| pp(s(s(s(s(s(s(s(s(X0)))))))))
| pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ q(s(s(s(s(s(s(s(s(X0)))))))))
| ~ ap(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_16013]) ).
tcf(c_20289,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(X0)))))))))
| qq(s(s(s(s(s(s(s(s(X0)))))))))
| pp(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ rr(s(s(s(s(s(s(s(s(X0)))))))))
| ~ ap(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_16012]) ).
tcf(c_20290,plain,
! [X0: $i] :
( qq(s(s(s(s(s(s(s(s(X0)))))))))
| pp(s(s(s(s(s(s(s(s(X0)))))))))
| ~ rr(s(s(s(s(s(s(s(s(X0)))))))))
| ~ r(s(s(s(s(s(s(s(s(X0)))))))))
| ~ ap(s(s(s(s(s(s(s(s(X0)))))))))
| ~ p(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_16010]) ).
tcf(c_20291,plain,
! [X0: $i] :
( aq(s(s(s(s(s(s(s(X0))))))))
| qq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ qq(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_10499]) ).
tcf(c_20297,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(X0)))))))))
| qq(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(s(X0)))))))))
| rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ q(s(s(s(s(s(s(s(s(X0)))))))))
| ~ ar(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_17175]) ).
tcf(c_20298,plain,
! [X0: $i] :
( qq(s(s(s(s(s(s(s(s(X0)))))))))
| q(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(s(X0)))))))))
| pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ r(s(s(s(s(s(s(s(s(X0)))))))))
| ~ pp(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_17174]) ).
tcf(c_20299,plain,
! [X0: $i] :
( qq(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(s(X0)))))))))
| r(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ r(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_17191]) ).
tcf(c_20300,plain,
! [X0: $i] :
( qq(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(s(X0)))))))))
| ~ r(s(s(s(s(s(s(s(s(X0)))))))))
| ~ p(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_17190]) ).
tcf(c_20302,plain,
( qq(s(s(s(s(s(s(s(s(a)))))))))
| p(s(s(s(s(s(s(s(s(a)))))))))
| r(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ r(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_20299]) ).
tcf(c_20304,plain,
( rr(s(s(s(s(s(s(s(s(a)))))))))
| qq(s(s(s(s(s(s(s(s(a)))))))))
| p(s(s(s(s(s(s(s(s(a)))))))))
| rr(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ q(s(s(s(s(s(s(s(s(a)))))))))
| ~ ar(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_20297]) ).
tcf(c_20353,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(X0))))))))
| r(s(s(s(s(s(s(s(X0))))))))
| pp(s(s(s(s(s(s(s(X0))))))))
| pp(s(s(s(s(s(s(s(s(X0)))))))))
| ~ q(s(s(s(s(s(s(s(X0))))))))
| ~ ap(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_15730]) ).
tcf(c_20402,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(X0)))))))))
| qq(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(s(X0)))))))))
| r(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ pp(s(s(s(s(s(s(s(s(X0)))))))))
| ~ ar(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_17178]) ).
tcf(c_20403,plain,
( rr(s(s(s(s(s(s(s(s(a)))))))))
| qq(s(s(s(s(s(s(s(s(a)))))))))
| p(s(s(s(s(s(s(s(s(a)))))))))
| r(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ pp(s(s(s(s(s(s(s(s(a)))))))))
| ~ ar(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_20402]) ).
tcf(c_20426,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(X0)))))))))
| qq(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(s(X0)))))))))
| qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ r(s(s(s(s(s(s(s(s(X0)))))))))
| ~ aq(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_17179]) ).
tcf(c_20450,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(X0)))))))))
| qq(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(s(X0)))))))))
| q(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ pp(s(s(s(s(s(s(s(s(X0)))))))))
| ~ aq(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_17180]) ).
tcf(c_20502,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(X0)))))))))
| pp(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(s(X0)))))))))
| rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ q(s(s(s(s(s(s(s(s(X0)))))))))
| ~ ar(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_17182]) ).
tcf(c_20503,plain,
( rr(s(s(s(s(s(s(s(s(a)))))))))
| pp(s(s(s(s(s(s(s(s(a)))))))))
| p(s(s(s(s(s(s(s(s(a)))))))))
| rr(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ q(s(s(s(s(s(s(s(s(a)))))))))
| ~ ar(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_20502]) ).
tcf(c_20601,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(X0)))))))))
| pp(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(s(X0)))))))))
| rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ rr(s(s(s(s(s(s(s(s(X0)))))))))
| ~ q(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_17201]) ).
tcf(c_20602,plain,
( r(s(s(s(s(s(s(s(s(a)))))))))
| pp(s(s(s(s(s(s(s(s(a)))))))))
| p(s(s(s(s(s(s(s(s(a)))))))))
| rr(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ rr(s(s(s(s(s(s(s(s(a)))))))))
| ~ q(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_20601]) ).
tcf(c_20682,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(X0))))))))
| ~ rr(s(s(s(s(s(s(s(X0))))))))
| ~ pp(s(s(s(s(s(s(s(X0))))))))
| ~ p(s(s(s(s(s(s(s(X0))))))))
| ~ ap(s(s(s(s(s(s(s(X0))))))))
| ~ pp(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_17702]) ).
tcf(c_20732,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(X0)))))))))
| r(s(s(s(s(s(s(s(s(X0)))))))))
| qq(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(s(X0)))))))))
| ~ q(s(s(s(s(s(s(s(s(X0)))))))))
| ~ pp(s(s(s(s(s(s(s(s(X0)))))))))
| ~ ar(s(s(s(s(s(s(s(s(X0)))))))))
| ~ qp(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_17166]) ).
tcf(c_20733,plain,
( rr(s(s(s(s(s(s(s(s(a)))))))))
| r(s(s(s(s(s(s(s(s(a)))))))))
| qq(s(s(s(s(s(s(s(s(a)))))))))
| p(s(s(s(s(s(s(s(s(a)))))))))
| ~ q(s(s(s(s(s(s(s(s(a)))))))))
| ~ pp(s(s(s(s(s(s(s(s(a)))))))))
| ~ ar(s(s(s(s(s(s(s(s(a)))))))))
| ~ qp(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_20732]) ).
tcf(c_20756,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(X0)))))))))
| qq(s(s(s(s(s(s(s(s(X0)))))))))
| q(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(s(X0)))))))))
| pr(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ r(s(s(s(s(s(s(s(s(X0)))))))))
| ~ pp(s(s(s(s(s(s(s(s(X0)))))))))
| ~ aq(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_17167]) ).
tcf(c_20782,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(X0)))))))))
| qq(s(s(s(s(s(s(s(s(X0)))))))))
| pp(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(s(X0)))))))))
| rq(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ rr(s(s(s(s(s(s(s(s(X0)))))))))
| ~ q(s(s(s(s(s(s(s(s(X0)))))))))
| ~ ap(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_17168]) ).
tcf(c_20808,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(X0)))))))))
| pp(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(s(X0)))))))))
| qp(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ r(s(s(s(s(s(s(s(s(X0)))))))))
| ~ qq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ q(s(s(s(s(s(s(s(s(X0)))))))))
| ~ ar(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_17169]) ).
tcf(c_20809,plain,
( rr(s(s(s(s(s(s(s(s(a)))))))))
| pp(s(s(s(s(s(s(s(s(a)))))))))
| p(s(s(s(s(s(s(s(s(a)))))))))
| qp(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ r(s(s(s(s(s(s(s(s(a)))))))))
| ~ qq(s(s(s(s(s(s(s(s(a)))))))))
| ~ q(s(s(s(s(s(s(s(s(a)))))))))
| ~ ar(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_20808]) ).
tcf(c_20834,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(X0)))))))))
| q(s(s(s(s(s(s(s(s(X0)))))))))
| pp(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(s(X0)))))))))
| ~ r(s(s(s(s(s(s(s(s(X0)))))))))
| ~ qq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ ap(s(s(s(s(s(s(s(s(X0)))))))))
| ~ rq(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_17198]) ).
tcf(c_20846,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(s(s(X0)))))))))
| ~ aq(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_17923]) ).
tcf(c_20847,plain,
( ar(s(s(s(s(s(s(s(s(a)))))))))
| ~ aq(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_20846]) ).
tcf(c_20956,plain,
! [X0: $i] :
( pqr4(s(s(s(s(s(s(s(X0))))))))
| pqr3(s(s(s(s(s(s(s(X0))))))))
| pr(s(s(s(s(s(s(s(s(X0)))))))))
| ~ pr(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_13860]) ).
tcf(c_20957,plain,
( pqr4(s(s(s(s(s(s(s(a))))))))
| pqr3(s(s(s(s(s(s(s(a))))))))
| pr(s(s(s(s(s(s(s(s(a)))))))))
| ~ pr(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_20956]) ).
tcf(c_20961,plain,
! [X0: $i] :
( pr(s(s(s(s(s(s(X0)))))))
| pqr2(s(s(s(s(s(s(X0)))))))
| pqr1(s(s(s(s(s(s(X0)))))))
| ~ pr(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_14004]) ).
tcf(c_20962,plain,
( pr(s(s(s(s(s(s(a)))))))
| pqr2(s(s(s(s(s(s(a)))))))
| pqr1(s(s(s(s(s(s(a)))))))
| ~ pr(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_20961]) ).
tcf(c_20985,plain,
! [X0: $i] :
( qq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ rr(s(s(s(s(s(s(s(s(X0)))))))))
| ~ pp(s(s(s(s(s(s(s(s(X0)))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_17699]) ).
tcf(c_21060,plain,
! [X0: $i] :
( aq(s(s(X0)))
| ~ pqr2(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_18132]) ).
tcf(c_21094,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(s(X0))))))))
| ~ pqr2(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_18137]) ).
tcf(c_21095,plain,
( p(s(s(s(s(s(s(s(a))))))))
| ~ pqr2(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_21094]) ).
tcf(c_21558,plain,
! [X0: $i] :
( rr(s(s(s(s(X0)))))
| r(s(s(s(s(X0)))))
| q(s(s(s(s(X0)))))
| pp(s(s(s(s(X0)))))
| qp(s(s(s(s(s(X0))))))
| ~ qq(s(s(s(s(X0)))))
| ~ p(s(s(s(s(X0)))))
| ~ ar(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_18465]) ).
tcf(c_21755,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(X0))))))))
| ar(s(s(s(s(s(s(s(X0))))))))
| ~ r(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_18991]) ).
tcf(c_21756,plain,
( r(s(s(s(s(s(s(s(a))))))))
| ar(s(s(s(s(s(s(s(a))))))))
| ~ r(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_21755]) ).
tcf(c_21772,plain,
! [X0: $i] :
( ~ pqr3(s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_16787]) ).
tcf(c_21773,plain,
! [X0: $i] :
( rr(s(s(s(s(X0)))))
| ~ pqr3(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_16786]) ).
tcf(c_21774,plain,
! [X0: $i] :
( aq(s(s(s(s(X0)))))
| ~ pqr3(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_16785]) ).
tcf(c_21776,plain,
( rr(s(s(s(s(a)))))
| ~ pqr3(s(s(s(s(a))))) ),
inference(instantiation,[status(thm)],[c_21773]) ).
tcf(c_21777,plain,
( ~ pqr3(s(s(s(s(a)))))
| ~ r(s(s(s(s(a))))) ),
inference(instantiation,[status(thm)],[c_21772]) ).
tcf(c_21781,plain,
! [X0: $i] :
( pqr4(s(s(s(s(s(X0))))))
| pqr3(s(s(s(s(s(X0))))))
| pr(s(s(s(s(s(s(X0)))))))
| ~ pr(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_13860]) ).
tcf(c_21782,plain,
( pqr4(s(s(s(s(s(a))))))
| pqr3(s(s(s(s(s(a))))))
| pr(s(s(s(s(s(s(a)))))))
| ~ pr(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_21781]) ).
tcf(c_22475,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(X0)))))))))
| qq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ pp(s(s(s(s(s(s(s(s(X0)))))))))
| ~ p(s(s(s(s(s(s(s(s(X0)))))))))
| ~ ar(s(s(s(s(s(s(s(s(X0)))))))))
| ~ r(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_18971]) ).
tcf(c_22476,plain,
( rr(s(s(s(s(s(s(s(s(a)))))))))
| qq(s(s(s(s(s(s(s(s(a)))))))))
| ~ pp(s(s(s(s(s(s(s(s(a)))))))))
| ~ p(s(s(s(s(s(s(s(s(a)))))))))
| ~ ar(s(s(s(s(s(s(s(s(a)))))))))
| ~ r(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_22475]) ).
tcf(c_22615,plain,
! [X0: $i] :
( rq(s(s(s(s(X0)))))
| rpq2(s(s(s(s(X0)))))
| rpq1(s(s(s(s(X0)))))
| ~ rq(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_13850]) ).
tcf(c_22628,plain,
! [X0: $i] :
( ~ q(s(s(s(s(s(X0))))))
| ~ pqr1(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_9561]) ).
tcf(c_22631,plain,
! [X0: $i] :
( aq(s(s(s(s(s(X0))))))
| ~ pqr1(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_9558]) ).
tcf(c_22632,plain,
( aq(s(s(s(s(s(a))))))
| ~ pqr1(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_22631]) ).
tcf(c_23005,plain,
! [X0: $i] :
( q(s(s(s(s(s(X0))))))
| ~ rpq4(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_403]) ).
tcf(c_23007,plain,
! [X0: $i] :
( ~ rpq4(s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_399]) ).
tcf(c_23011,plain,
! [X0: $i] :
( ap(s(s(s(s(s(X0))))))
| ~ rpq4(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7600]) ).
tcf(c_23012,plain,
! [X0: $i] :
( ~ rpq4(s(s(s(s(s(X0))))))
| ~ pp(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7539]) ).
tcf(c_23014,plain,
( ap(s(s(s(s(s(a))))))
| ~ rpq4(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_23011]) ).
tcf(c_23015,plain,
! [X0: $i] :
( qq(s(s(s(s(s(X0))))))
| ~ rpq4(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7674]) ).
tcf(c_23115,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(s(X0)))))))))
| qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ r(s(s(s(s(s(s(s(s(X0)))))))))
| ~ qq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ q(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_17171]) ).
tcf(c_23116,plain,
( rr(s(s(s(s(s(s(s(s(a)))))))))
| p(s(s(s(s(s(s(s(s(a)))))))))
| qq(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ r(s(s(s(s(s(s(s(s(a)))))))))
| ~ qq(s(s(s(s(s(s(s(s(a)))))))))
| ~ q(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_23115]) ).
tcf(c_24290,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(X0)))))))))
| qq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ p(s(s(s(s(s(s(s(s(X0)))))))))
| ~ r(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_18989]) ).
tcf(c_24291,plain,
( r(s(s(s(s(s(s(s(s(a)))))))))
| qq(s(s(s(s(s(s(s(s(a)))))))))
| ~ p(s(s(s(s(s(s(s(s(a)))))))))
| ~ r(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_24290]) ).
tcf(c_24348,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(X0))))))))
| ~ pp(s(s(s(s(s(s(s(X0))))))))
| ~ p(s(s(s(s(s(s(s(X0))))))))
| ~ r(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_19001]) ).
tcf(c_24401,plain,
! [X0: $i] :
( pp(s(s(s(s(s(s(s(X0))))))))
| ap(s(s(s(s(s(s(s(X0))))))))
| ~ pp(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_17709]) ).
tcf(c_24402,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(s(X0))))))))
| p(s(s(s(s(s(s(s(s(X0)))))))))
| ~ p(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_17197]) ).
tcf(c_24403,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(s(X0))))))))
| ~ ar(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_12870]) ).
tcf(c_24405,plain,
( ap(s(s(s(s(s(s(s(a))))))))
| p(s(s(s(s(s(s(s(s(a)))))))))
| ~ p(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_24402]) ).
tcf(c_24406,plain,
( pp(s(s(s(s(s(s(s(a))))))))
| ap(s(s(s(s(s(s(s(a))))))))
| ~ pp(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_24401]) ).
tcf(c_25328,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(X0)))))))))
| qq(s(s(s(s(s(s(s(s(X0)))))))))
| pp(s(s(s(s(s(s(s(s(X0)))))))))
| q(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ rr(s(s(s(s(s(s(s(s(X0)))))))))
| ~ aq(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_18621]) ).
tcf(c_25750,plain,
! [X0: $i] :
( r(s(s(s(s(s(X0))))))
| qq(s(s(s(s(s(X0))))))
| q(s(s(s(s(s(X0))))))
| pp(s(s(s(s(s(X0))))))
| ~ rr(s(s(s(s(s(X0))))))
| ~ p(s(s(s(s(s(X0))))))
| ~ aq(s(s(s(s(s(X0))))))
| ~ pr(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_8713]) ).
tcf(c_26508,plain,
! [X0: $i] :
( aq(s(s(s(s(s(s(s(s(X0)))))))))
| qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ qq(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_20291]) ).
tcf(c_26509,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(s(X0)))))))))
| aq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ q(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_18606]) ).
tcf(c_26510,plain,
! [X0: $i] :
( aq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ ap(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_17324]) ).
tcf(c_26512,plain,
( q(s(s(s(s(s(s(s(s(a)))))))))
| aq(s(s(s(s(s(s(s(s(a)))))))))
| ~ q(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_26509]) ).
tcf(c_26513,plain,
( aq(s(s(s(s(s(s(s(s(a)))))))))
| qq(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ qq(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_26508]) ).
tcf(c_26687,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(s(s(s(X0))))))))))
| rr(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_17921]) ).
tcf(c_26688,plain,
! [X0: $i] :
( pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_17712]) ).
tcf(c_26690,plain,
! [X0: $i] :
( ~ q(s(s(s(s(s(s(s(s(X0)))))))))
| ~ p(s(s(s(s(s(s(s(s(X0)))))))))
| ~ ar(s(s(s(s(s(s(s(s(X0)))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_10548]) ).
tcf(c_26691,plain,
( ~ q(s(s(s(s(s(s(s(s(a)))))))))
| ~ p(s(s(s(s(s(s(s(s(a)))))))))
| ~ ar(s(s(s(s(s(s(s(s(a)))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_26690]) ).
tcf(c_26693,plain,
( pp(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_26688]) ).
tcf(c_26694,plain,
( ar(s(s(s(s(s(s(s(s(s(a))))))))))
| rr(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_26687]) ).
tcf(c_26698,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(X0)))))))))
| ar(s(s(s(s(s(s(s(s(X0)))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_17922]) ).
tcf(c_26703,plain,
! [X0: $i] :
( qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_20985]) ).
tcf(c_26704,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(X0)))))))))
| ~ qq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ pp(s(s(s(s(s(s(s(s(X0)))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_17711]) ).
tcf(c_26705,plain,
( rr(s(s(s(s(s(s(s(s(a)))))))))
| ~ qq(s(s(s(s(s(s(s(s(a)))))))))
| ~ pp(s(s(s(s(s(s(s(s(a)))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_26704]) ).
tcf(c_26706,plain,
( qq(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_26703]) ).
tcf(c_27222,plain,
! [X0: $i] :
( ~ q(s(s(s(s(s(s(s(s(X0)))))))))
| ~ p(s(s(s(s(s(s(s(s(X0)))))))))
| ~ ar(s(s(s(s(s(s(s(s(X0)))))))))
| ~ r(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_19012]) ).
tcf(c_27223,plain,
! [X0: $i] :
( ~ ar(s(s(s(s(s(s(s(s(X0)))))))))
| ~ ap(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_16022]) ).
tcf(c_27224,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(X0)))))))))
| pp(s(s(s(s(s(s(s(s(X0)))))))))
| ~ qq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ q(s(s(s(s(s(s(s(s(X0)))))))))
| ~ ar(s(s(s(s(s(s(s(s(X0)))))))))
| ~ r(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_16574]) ).
tcf(c_27225,plain,
( rr(s(s(s(s(s(s(s(s(a)))))))))
| pp(s(s(s(s(s(s(s(s(a)))))))))
| ~ qq(s(s(s(s(s(s(s(s(a)))))))))
| ~ q(s(s(s(s(s(s(s(s(a)))))))))
| ~ ar(s(s(s(s(s(s(s(s(a)))))))))
| ~ r(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_27224]) ).
tcf(c_27226,plain,
( ~ ar(s(s(s(s(s(s(s(s(a)))))))))
| ~ ap(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_27223]) ).
tcf(c_27227,plain,
( ~ q(s(s(s(s(s(s(s(s(a)))))))))
| ~ p(s(s(s(s(s(s(s(s(a)))))))))
| ~ ar(s(s(s(s(s(s(s(s(a)))))))))
| ~ r(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_27222]) ).
tcf(c_27228,plain,
! [X0: $i] :
( ~ ar(s(s(s(s(s(s(s(s(X0)))))))))
| ~ aq(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_18953]) ).
tcf(c_27229,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(s(X0)))))))))
| ~ rr(s(s(s(s(s(s(s(s(X0)))))))))
| ~ pp(s(s(s(s(s(s(s(s(X0)))))))))
| ~ ar(s(s(s(s(s(s(s(s(X0)))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_17199]) ).
tcf(c_27231,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(s(X0)))))))))
| ~ ar(s(s(s(s(s(s(s(s(X0)))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_17192]) ).
tcf(c_27232,plain,
( q(s(s(s(s(s(s(s(s(a)))))))))
| p(s(s(s(s(s(s(s(s(a)))))))))
| ~ ar(s(s(s(s(s(s(s(s(a)))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_27231]) ).
tcf(c_27234,plain,
( r(s(s(s(s(s(s(s(s(a)))))))))
| p(s(s(s(s(s(s(s(s(a)))))))))
| ~ rr(s(s(s(s(s(s(s(s(a)))))))))
| ~ pp(s(s(s(s(s(s(s(s(a)))))))))
| ~ ar(s(s(s(s(s(s(s(s(a)))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_27229]) ).
tcf(c_27235,plain,
( ~ ar(s(s(s(s(s(s(s(s(a)))))))))
| ~ aq(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_27228]) ).
tcf(c_27370,plain,
! [X0: $i] :
( ~ rpq4(s(s(s(s(s(s(s(s(X0)))))))))
| ~ r(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_23007]) ).
tcf(c_27505,plain,
! [X0: $i] :
( aq(s(s(s(s(s(X0))))))
| ~ pqr3(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_21774]) ).
tcf(c_27506,plain,
( aq(s(s(s(s(s(a))))))
| ~ pqr3(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_27505]) ).
tcf(c_27591,plain,
! [X0: $i] :
( qq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ rpq4(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_23015]) ).
tcf(c_27592,plain,
( qq(s(s(s(s(s(s(s(s(a)))))))))
| ~ rpq4(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_27591]) ).
tcf(c_27688,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(X0)))))))
| r(s(s(s(s(s(s(X0)))))))
| q(s(s(s(s(s(s(X0)))))))
| pp(s(s(s(s(s(s(X0)))))))
| qp(s(s(s(s(s(s(s(X0))))))))
| ~ qq(s(s(s(s(s(s(X0)))))))
| ~ p(s(s(s(s(s(s(X0)))))))
| ~ ar(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_21558]) ).
tcf(c_27896,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(s(s(s(X0))))))))))
| r(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_18969]) ).
tcf(c_27897,plain,
( ar(s(s(s(s(s(s(s(s(s(a))))))))))
| r(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_27896]) ).
tcf(c_27970,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(X0)))))))))
| ar(s(s(s(s(s(s(s(s(X0)))))))))
| ~ r(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_21755]) ).
tcf(c_27991,plain,
! [X0: $i] :
( rr(s(s(s(s(X0)))))
| qq(s(s(s(s(X0)))))
| q(s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))))
| ~ pp(s(s(s(s(X0)))))
| ~ p(s(s(s(s(X0)))))
| ~ ar(s(s(s(s(X0)))))
| ~ qp(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7642]) ).
tcf(c_27992,plain,
! [X0: $i] :
( qrp4(s(s(s(s(s(X0))))))
| qrp3(s(s(s(s(s(X0))))))
| qp(s(s(s(s(s(s(X0)))))))
| ~ qp(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_9544]) ).
tcf(c_27994,plain,
( qrp4(s(s(s(s(s(a))))))
| qrp3(s(s(s(s(s(a))))))
| qp(s(s(s(s(s(s(a)))))))
| ~ qp(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_27992]) ).
tcf(c_27997,plain,
! [X0: $i] :
( qp(s(s(s(s(X0)))))
| qrp2(s(s(s(s(X0)))))
| qrp1(s(s(s(s(X0)))))
| ~ qp(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8403]) ).
tcf(c_29273,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ ar(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_24403]) ).
tcf(c_29274,plain,
( ap(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ ar(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_29273]) ).
tcf(c_29604,plain,
! [X0: $i] :
( aq(s(s(s(s(s(s(X0)))))))
| ~ pqr1(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_22631]) ).
tcf(c_29607,plain,
! [X0: $i] :
( ~ q(s(s(s(s(s(s(X0)))))))
| ~ pqr1(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_22628]) ).
tcf(c_29615,plain,
( aq(s(s(s(s(s(s(a)))))))
| ~ pqr1(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_29604]) ).
tcf(c_31297,plain,
! [X0: $i] :
( pr(s(s(s(s(s(s(s(s(s(X0))))))))))
| rq(s(s(s(s(s(s(s(s(s(X0))))))))))
| qp(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_20032]) ).
tcf(c_31298,plain,
( pr(s(s(s(s(s(s(s(s(s(a))))))))))
| rq(s(s(s(s(s(s(s(s(s(a))))))))))
| qp(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_31297]) ).
tcf(c_31522,plain,
! [X0: $i] :
( pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| ap(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_24401]) ).
tcf(c_31523,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| r(s(s(s(s(s(s(s(s(s(X0))))))))))
| pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_20353]) ).
tcf(c_31524,plain,
! [X0: $i] :
( qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| q(s(s(s(s(s(s(s(s(s(X0))))))))))
| pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| rq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_18642]) ).
tcf(c_31525,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| r(s(s(s(s(s(s(s(s(s(X0))))))))))
| q(s(s(s(s(s(s(s(s(s(X0))))))))))
| pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| qp(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_18610]) ).
tcf(c_31526,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(X0))))))))))
| qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_20278]) ).
tcf(c_31528,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| q(s(s(s(s(s(s(s(s(s(X0))))))))))
| pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| p(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_20082]) ).
tcf(c_31529,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(s(s(X0))))))))))
| pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| rr(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_18986]) ).
tcf(c_31533,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| q(s(s(s(s(s(s(s(s(s(X0))))))))))
| pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_18613]) ).
tcf(c_31536,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(s(s(X0))))))))))
| pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_18980]) ).
tcf(c_31549,plain,
( rr(s(s(s(s(s(s(s(s(s(a))))))))))
| q(s(s(s(s(s(s(s(s(s(a))))))))))
| pp(s(s(s(s(s(s(s(s(s(a))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_31533]) ).
tcf(c_31554,plain,
( rr(s(s(s(s(s(s(s(s(s(a))))))))))
| q(s(s(s(s(s(s(s(s(s(a))))))))))
| pp(s(s(s(s(s(s(s(s(s(a))))))))))
| p(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_31528]) ).
tcf(c_31558,plain,
( qq(s(s(s(s(s(s(s(s(s(a))))))))))
| q(s(s(s(s(s(s(s(s(s(a))))))))))
| pp(s(s(s(s(s(s(s(s(s(a))))))))))
| rq(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_31524]) ).
tcf(c_31559,plain,
( rr(s(s(s(s(s(s(s(s(s(a))))))))))
| r(s(s(s(s(s(s(s(s(s(a))))))))))
| pp(s(s(s(s(s(s(s(s(s(a))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_31523]) ).
tcf(c_31562,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_27224]) ).
tcf(c_31563,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(X0))))))))))
| qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| q(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_25328]) ).
tcf(c_31564,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| q(s(s(s(s(s(s(s(s(s(X0))))))))))
| pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| p(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ rq(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_20834]) ).
tcf(c_31565,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| p(s(s(s(s(s(s(s(s(s(X0))))))))))
| qp(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_20808]) ).
tcf(c_31566,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(X0))))))))))
| qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| p(s(s(s(s(s(s(s(s(s(X0))))))))))
| rq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_20782]) ).
tcf(c_31568,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(X0))))))))))
| pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| p(s(s(s(s(s(s(s(s(s(X0))))))))))
| rr(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_20601]) ).
tcf(c_31569,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| p(s(s(s(s(s(s(s(s(s(X0))))))))))
| rr(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_20502]) ).
tcf(c_31572,plain,
! [X0: $i] :
( qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_20290]) ).
tcf(c_31573,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(X0))))))))))
| qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| p(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_20289]) ).
tcf(c_31574,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(X0))))))))))
| qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_20288]) ).
tcf(c_31575,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(s(s(X0)))))))))
| pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ pp(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_17700]) ).
tcf(c_31578,plain,
( ap(s(s(s(s(s(s(s(s(a)))))))))
| pp(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ pp(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_31575]) ).
tcf(c_31579,plain,
( r(s(s(s(s(s(s(s(s(s(a))))))))))
| qq(s(s(s(s(s(s(s(s(s(a))))))))))
| pp(s(s(s(s(s(s(s(s(s(a))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_31574]) ).
tcf(c_31580,plain,
( r(s(s(s(s(s(s(s(s(s(a))))))))))
| qq(s(s(s(s(s(s(s(s(s(a))))))))))
| pp(s(s(s(s(s(s(s(s(s(a))))))))))
| p(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_31573]) ).
tcf(c_31581,plain,
( qq(s(s(s(s(s(s(s(s(s(a))))))))))
| pp(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_31572]) ).
tcf(c_31585,plain,
( r(s(s(s(s(s(s(s(s(s(a))))))))))
| pp(s(s(s(s(s(s(s(s(s(a))))))))))
| p(s(s(s(s(s(s(s(s(s(a))))))))))
| rr(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_31568]) ).
tcf(c_31587,plain,
( r(s(s(s(s(s(s(s(s(s(a))))))))))
| qq(s(s(s(s(s(s(s(s(s(a))))))))))
| pp(s(s(s(s(s(s(s(s(s(a))))))))))
| p(s(s(s(s(s(s(s(s(s(a))))))))))
| rq(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_31566]) ).
tcf(c_31589,plain,
( rr(s(s(s(s(s(s(s(s(s(a))))))))))
| q(s(s(s(s(s(s(s(s(s(a))))))))))
| pp(s(s(s(s(s(s(s(s(s(a))))))))))
| p(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ rq(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_31564]) ).
tcf(c_32559,plain,
! [X0: $i] :
( ar(s(s(s(s(X0)))))
| ~ qrp2(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_363]) ).
tcf(c_32564,plain,
! [X0: $i] :
( ~ qrp2(s(s(s(s(X0)))))
| ~ p(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7506]) ).
tcf(c_32569,plain,
! [X0: $i] :
( ~ qrp2(s(s(s(s(X0)))))
| ~ rr(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8250]) ).
tcf(c_32570,plain,
! [X0: $i] :
( r(s(s(s(s(X0)))))
| ~ qrp2(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8071]) ).
tcf(c_32645,plain,
! [X0: $i] :
( ~ ap(X0)
| ~ ar(s(X0)) ),
inference(superposition,[status(thm)],[c_408,c_320]) ).
tcf(c_32656,plain,
! [X0: $i] :
( ar(s(s(s(s(s(X0))))))
| ~ qrp3(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_370]) ).
tcf(c_32657,plain,
! [X0: $i] :
( pp(s(s(s(s(s(X0))))))
| ~ qrp3(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_369]) ).
tcf(c_32660,plain,
! [X0: $i] :
( q(s(s(s(s(s(X0))))))
| ~ qrp3(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_364]) ).
tcf(c_32664,plain,
( pp(s(s(s(s(s(a))))))
| ~ qrp3(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_32657]) ).
tcf(c_32714,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(X0)))))))
| qq(s(s(s(s(s(s(X0)))))))
| q(s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))))
| ~ pp(s(s(s(s(s(s(X0)))))))
| ~ p(s(s(s(s(s(s(X0)))))))
| ~ ar(s(s(s(s(s(s(X0)))))))
| ~ qp(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_27991]) ).
tcf(c_32863,plain,
! [X0: $i] :
( aq(s(s(s(s(s(s(X0)))))))
| ~ pqr2(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_21060]) ).
tcf(c_32864,plain,
( aq(s(s(s(s(s(s(a)))))))
| ~ pqr2(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_32863]) ).
tcf(c_32871,plain,
! [X0: $i] :
( pr(s(s(s(s(s(s(s(X0))))))))
| pqr2(s(s(s(s(s(s(s(X0))))))))
| pqr1(s(s(s(s(s(s(s(X0))))))))
| ~ pr(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_20961]) ).
tcf(c_32872,plain,
( pr(s(s(s(s(s(s(s(a))))))))
| pqr2(s(s(s(s(s(s(s(a))))))))
| pqr1(s(s(s(s(s(s(s(a))))))))
| ~ pr(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_32871]) ).
tcf(c_32994,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(X0))))))))))
| qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| q(s(s(s(s(s(s(s(s(s(X0))))))))))
| pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ pr(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_25750]) ).
tcf(c_32995,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ rpq4(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_23005]) ).
tcf(c_33016,plain,
( q(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ rpq4(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_32995]) ).
tcf(c_33042,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_20682]) ).
tcf(c_33043,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| q(s(s(s(s(s(s(s(s(s(X0))))))))))
| rr(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_18644]) ).
tcf(c_33045,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| r(s(s(s(s(s(s(s(s(s(X0))))))))))
| q(s(s(s(s(s(s(s(s(s(X0))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_18612]) ).
tcf(c_33049,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(X0))))))))))
| qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| q(s(s(s(s(s(s(s(s(s(X0))))))))))
| rr(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_18602]) ).
tcf(c_33050,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(s(s(X0))))))))))
| p(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_17176]) ).
tcf(c_33051,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(s(s(X0))))))))))
| r(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_18968]) ).
tcf(c_33052,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_18966]) ).
tcf(c_33053,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(X0))))))))))
| q(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_18845]) ).
tcf(c_33054,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(X0)))))))))
| q(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ qq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ q(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_18650]) ).
tcf(c_33055,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(X0)))))))))
| q(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ rr(s(s(s(s(s(s(s(s(X0)))))))))
| ~ q(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_18649]) ).
tcf(c_33056,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| q(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_18647]) ).
tcf(c_33058,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| q(s(s(s(s(s(s(s(s(s(X0))))))))))
| p(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_18619]) ).
tcf(c_33059,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(s(s(X0))))))))))
| p(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_18618]) ).
tcf(c_33060,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(s(s(X0))))))))))
| p(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_18617]) ).
tcf(c_33062,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(X0))))))))))
| q(s(s(s(s(s(s(s(s(s(X0))))))))))
| p(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_18615]) ).
tcf(c_33063,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(X0)))))))))
| pp(s(s(s(s(s(s(s(s(X0)))))))))
| q(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ q(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_18607]) ).
tcf(c_33064,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_18605]) ).
tcf(c_33065,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_18604]) ).
tcf(c_33067,plain,
! [X0: $i] :
( aq(s(s(s(s(s(s(s(s(X0)))))))))
| q(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ q(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_18654]) ).
tcf(c_33068,plain,
( aq(s(s(s(s(s(s(s(s(a)))))))))
| q(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ q(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_33067]) ).
tcf(c_33073,plain,
( r(s(s(s(s(s(s(s(s(s(a))))))))))
| q(s(s(s(s(s(s(s(s(s(a))))))))))
| p(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_33062]) ).
tcf(c_33075,plain,
( q(s(s(s(s(s(s(s(s(s(a))))))))))
| p(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_33060]) ).
tcf(c_33076,plain,
( q(s(s(s(s(s(s(s(s(s(a))))))))))
| p(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_33059]) ).
tcf(c_33077,plain,
( rr(s(s(s(s(s(s(s(s(s(a))))))))))
| q(s(s(s(s(s(s(s(s(s(a))))))))))
| p(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_33058]) ).
tcf(c_33082,plain,
( r(s(s(s(s(s(s(s(s(s(a))))))))))
| q(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_33053]) ).
tcf(c_33085,plain,
( q(s(s(s(s(s(s(s(s(s(a))))))))))
| p(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_33050]) ).
tcf(c_33086,plain,
( r(s(s(s(s(s(s(s(s(s(a))))))))))
| qq(s(s(s(s(s(s(s(s(s(a))))))))))
| q(s(s(s(s(s(s(s(s(s(a))))))))))
| rr(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_33049]) ).
tcf(c_33097,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(s(s(X0))))))))))
| aq(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_26509]) ).
tcf(c_33099,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| q(s(s(s(s(s(s(s(s(s(X0))))))))))
| p(s(s(s(s(s(s(s(s(s(X0))))))))))
| pr(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_20756]) ).
tcf(c_33100,plain,
! [X0: $i] :
( qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| q(s(s(s(s(s(s(s(s(s(X0))))))))))
| p(s(s(s(s(s(s(s(s(s(X0))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_20298]) ).
tcf(c_33102,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(s(X0)))))))))
| q(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ aq(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_17185]) ).
tcf(c_33103,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(s(s(X0)))))))))
| q(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ qq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ q(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_17106]) ).
tcf(c_33104,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(s(X0)))))))))
| q(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ q(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_17105]) ).
tcf(c_33109,plain,
( qq(s(s(s(s(s(s(s(s(s(a))))))))))
| q(s(s(s(s(s(s(s(s(s(a))))))))))
| p(s(s(s(s(s(s(s(s(s(a))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_33100]) ).
tcf(c_33112,plain,
( q(s(s(s(s(s(s(s(s(s(a))))))))))
| aq(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_33097]) ).
tcf(c_33203,plain,
! [X0: $i] :
( aq(X0)
| ~ qq(X0)
| ~ rpq2(s(X0)) ),
inference(superposition,[status(thm)],[c_466,c_390]) ).
tcf(c_33403,plain,
! [X0: $i] :
( aq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_26510]) ).
tcf(c_33404,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_17914]) ).
tcf(c_33405,plain,
! [X0: $i] :
( ~ aq(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_18956]) ).
tcf(c_33407,plain,
! [X0: $i] :
( ~ r(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_19007]) ).
tcf(c_33408,plain,
! [X0: $i] :
( ~ r(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_19006]) ).
tcf(c_33409,plain,
( ~ r(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_33408]) ).
tcf(c_33410,plain,
( ~ r(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_33407]) ).
tcf(c_33412,plain,
( ~ aq(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_33405]) ).
tcf(c_33413,plain,
( r(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_33404]) ).
tcf(c_33414,plain,
( aq(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_33403]) ).
tcf(c_33415,plain,
! [X0: $i] :
( ~ ar(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_27223]) ).
tcf(c_33416,plain,
( ~ ar(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_33415]) ).
tcf(c_33696,plain,
! [X0: $i] :
( rpq4(s(s(s(s(s(s(s(s(s(X0))))))))))
| rpq3(s(s(s(s(s(s(s(s(s(X0))))))))))
| rq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ rq(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_18462]) ).
tcf(c_33698,plain,
! [X0: $i] :
( rq(s(s(s(s(s(s(s(s(X0)))))))))
| rpq2(s(s(s(s(s(s(s(s(X0)))))))))
| rpq1(s(s(s(s(s(s(s(s(X0)))))))))
| ~ rq(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_22615]) ).
tcf(c_33699,plain,
( rq(s(s(s(s(s(s(s(s(a)))))))))
| rpq2(s(s(s(s(s(s(s(s(a)))))))))
| rpq1(s(s(s(s(s(s(s(s(a)))))))))
| ~ rq(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_33698]) ).
tcf(c_33701,plain,
( rpq4(s(s(s(s(s(s(s(s(s(a))))))))))
| rpq3(s(s(s(s(s(s(s(s(s(a))))))))))
| rq(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ rq(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_33696]) ).
tcf(c_33705,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(X0)))))))))
| r(s(s(s(s(s(s(s(s(X0)))))))))
| pp(s(s(s(s(s(s(s(s(X0)))))))))
| ~ qq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ q(s(s(s(s(s(s(s(s(X0)))))))))
| ~ p(s(s(s(s(s(s(s(s(X0)))))))))
| ~ ap(s(s(s(s(s(s(s(s(X0)))))))))
| ~ rq(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_16000]) ).
tcf(c_34376,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(X0)))))))
| ~ qrp3(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_32656]) ).
tcf(c_34377,plain,
( ar(s(s(s(s(s(s(a)))))))
| ~ qrp3(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_34376]) ).
tcf(c_34775,plain,
! [X0: $i] :
( ar(s(s(s(s(X0)))))
| ~ qrp1(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_356]) ).
tcf(c_34785,plain,
! [X0: $i] :
( ~ qrp1(s(s(s(s(X0)))))
| ~ rr(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8251]) ).
tcf(c_34787,plain,
! [X0: $i] :
( qp(s(s(s(s(s(X0))))))
| qrp2(s(s(s(s(s(X0))))))
| qrp1(s(s(s(s(s(X0))))))
| ~ qp(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_27997]) ).
tcf(c_34871,plain,
! [X0: $i] :
( qrp4(s(s(s(s(s(s(s(s(X0)))))))))
| qrp3(s(s(s(s(s(s(s(s(X0)))))))))
| qp(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ qp(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_27992]) ).
tcf(c_34872,plain,
( qrp4(s(s(s(s(s(s(s(s(a)))))))))
| qrp3(s(s(s(s(s(s(s(s(a)))))))))
| qp(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ qp(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_34871]) ).
tcf(c_34979,plain,
! [X0: $i] :
( aq(s(s(s(s(s(X0))))))
| ~ pqr2(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_21060]) ).
tcf(c_34980,plain,
( aq(s(s(s(s(s(a))))))
| ~ pqr2(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_34979]) ).
tcf(c_35147,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(X0)))))))))
| ~ rr(s(s(s(s(s(s(s(s(X0)))))))))
| ~ q(s(s(s(s(s(s(s(s(X0)))))))))
| ~ r(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_19010]) ).
tcf(c_35151,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ rr(s(s(s(s(s(s(s(s(X0)))))))))
| ~ p(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_17203]) ).
tcf(c_35158,plain,
( r(s(s(s(s(s(s(s(s(a)))))))))
| ~ rr(s(s(s(s(s(s(s(s(a)))))))))
| ~ q(s(s(s(s(s(s(s(s(a)))))))))
| ~ r(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_35147]) ).
tcf(c_35161,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(X0))))))))
| ar(s(s(s(s(s(s(s(X0))))))))
| ~ rr(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_17922]) ).
tcf(c_35164,plain,
( rr(s(s(s(s(s(s(s(a))))))))
| ar(s(s(s(s(s(s(s(a))))))))
| ~ rr(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_35161]) ).
tcf(c_35213,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(X0))))))))
| r(s(s(s(s(s(s(s(X0))))))))
| qq(s(s(s(s(s(s(s(X0))))))))
| pr(s(s(s(s(s(s(s(s(X0)))))))))
| ~ q(s(s(s(s(s(s(s(X0))))))))
| ~ pp(s(s(s(s(s(s(s(X0))))))))
| ~ p(s(s(s(s(s(s(s(X0))))))))
| ~ aq(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_12577]) ).
tcf(c_35214,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(X0))))))))
| qq(s(s(s(s(s(s(s(X0))))))))
| ~ pp(s(s(s(s(s(s(s(X0))))))))
| ~ p(s(s(s(s(s(s(s(X0))))))))
| ~ aq(s(s(s(s(s(s(s(X0))))))))
| ~ q(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_12751]) ).
tcf(c_35215,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(X0))))))))
| r(s(s(s(s(s(s(s(X0))))))))
| qq(s(s(s(s(s(s(s(X0))))))))
| qq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ p(s(s(s(s(s(s(s(X0))))))))
| ~ aq(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_12578]) ).
tcf(c_35217,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(X0))))))))
| qq(s(s(s(s(s(s(s(X0))))))))
| p(s(s(s(s(s(s(s(s(X0)))))))))
| ~ p(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_11688]) ).
tcf(c_35222,plain,
( rr(s(s(s(s(s(s(s(a))))))))
| r(s(s(s(s(s(s(s(a))))))))
| qq(s(s(s(s(s(s(s(a))))))))
| qq(s(s(s(s(s(s(s(s(a)))))))))
| ~ p(s(s(s(s(s(s(s(a))))))))
| ~ aq(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_35215]) ).
tcf(c_35223,plain,
( rr(s(s(s(s(s(s(s(a))))))))
| qq(s(s(s(s(s(s(s(a))))))))
| ~ pp(s(s(s(s(s(s(s(a))))))))
| ~ p(s(s(s(s(s(s(s(a))))))))
| ~ aq(s(s(s(s(s(s(s(a))))))))
| ~ q(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_35214]) ).
tcf(c_35224,plain,
( rr(s(s(s(s(s(s(s(a))))))))
| r(s(s(s(s(s(s(s(a))))))))
| qq(s(s(s(s(s(s(s(a))))))))
| pr(s(s(s(s(s(s(s(s(a)))))))))
| ~ q(s(s(s(s(s(s(s(a))))))))
| ~ pp(s(s(s(s(s(s(s(a))))))))
| ~ p(s(s(s(s(s(s(s(a))))))))
| ~ aq(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_35213]) ).
tcf(c_35228,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(X0))))))))
| qq(s(s(s(s(s(s(s(X0))))))))
| pp(s(s(s(s(s(s(s(X0))))))))
| q(s(s(s(s(s(s(s(s(X0)))))))))
| ~ rr(s(s(s(s(s(s(s(X0))))))))
| ~ aq(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_18621]) ).
tcf(c_35235,plain,
! [X0: $i] :
( aq(s(s(s(s(s(s(X0)))))))
| qq(s(s(s(s(s(s(s(X0))))))))
| ~ qq(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_10499]) ).
tcf(c_35237,plain,
( aq(s(s(s(s(s(s(a)))))))
| qq(s(s(s(s(s(s(s(a))))))))
| ~ qq(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_35235]) ).
tcf(c_35243,plain,
( r(s(s(s(s(s(s(s(a))))))))
| qq(s(s(s(s(s(s(s(a))))))))
| pp(s(s(s(s(s(s(s(a))))))))
| q(s(s(s(s(s(s(s(s(a)))))))))
| ~ rr(s(s(s(s(s(s(s(a))))))))
| ~ aq(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_35228]) ).
tcf(c_35872,plain,
! [X0: $i] :
( pqr4(s(s(s(s(s(s(X0)))))))
| pqr3(s(s(s(s(s(s(X0)))))))
| pr(s(s(s(s(s(s(s(X0))))))))
| ~ pr(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_21781]) ).
tcf(c_35874,plain,
( pqr4(s(s(s(s(s(s(a)))))))
| pqr3(s(s(s(s(s(s(a)))))))
| pr(s(s(s(s(s(s(s(a))))))))
| ~ pr(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_35872]) ).
tcf(c_37196,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_33063]) ).
tcf(c_37212,plain,
( r(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_37196]) ).
tcf(c_37215,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| p(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| qp(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_31565]) ).
tcf(c_37222,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| p(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| rr(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_31569]) ).
tcf(c_37224,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_31563]) ).
tcf(c_37225,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_31562]) ).
tcf(c_37226,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| r(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_31523]) ).
tcf(c_37228,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(s(s(s(X0))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_31575]) ).
tcf(c_37229,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| r(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| q(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| qp(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_31525]) ).
tcf(c_37230,plain,
! [X0: $i] :
( qq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| q(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| rq(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_31524]) ).
tcf(c_37237,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| rr(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_31529]) ).
tcf(c_37240,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_31526]) ).
tcf(c_37242,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_31536]) ).
tcf(c_37243,plain,
( q(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))) ),
inference(instantiation,[status(thm)],[c_37242]) ).
tcf(c_37245,plain,
( r(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_37240]) ).
tcf(c_37261,plain,
( r(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_37224]) ).
tcf(c_37552,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ rpq3(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_7601]) ).
tcf(c_37553,plain,
! [X0: $i] :
( ~ rpq3(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_7540]) ).
tcf(c_37554,plain,
! [X0: $i] :
( ~ rpq3(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_7503]) ).
tcf(c_37555,plain,
( ~ rpq3(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_37554]) ).
tcf(c_37558,plain,
! [X0: $i] :
( qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ rpq3(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_7675]) ).
tcf(c_37559,plain,
( qq(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ rpq3(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_37558]) ).
tcf(c_37564,plain,
! [X0: $i] :
( ~ rpq3(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_10523]) ).
tcf(c_37565,plain,
( ~ rpq3(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_37564]) ).
tcf(c_37605,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| p(s(s(s(s(s(s(s(s(s(X0))))))))))
| rr(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_20297]) ).
tcf(c_37608,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| p(s(s(s(s(s(s(s(s(s(X0))))))))))
| q(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_33104]) ).
tcf(c_38209,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| q(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ pr(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_32994]) ).
tcf(c_38210,plain,
( r(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| q(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ pr(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))) ),
inference(instantiation,[status(thm)],[c_38209]) ).
tcf(c_38301,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(s(s(X0)))))))))
| ~ rpq1(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_18852]) ).
tcf(c_38302,plain,
( ap(s(s(s(s(s(s(s(s(a)))))))))
| ~ rpq1(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_38301]) ).
tcf(c_38313,plain,
! [X0: $i] :
( rq(s(s(s(s(s(s(s(s(s(X0))))))))))
| rpq2(s(s(s(s(s(s(s(s(s(X0))))))))))
| rpq1(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ rq(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_33698]) ).
tcf(c_38314,plain,
( rq(s(s(s(s(s(s(s(s(s(a))))))))))
| rpq2(s(s(s(s(s(s(s(s(s(a))))))))))
| rpq1(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ rq(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_38313]) ).
tcf(c_38571,plain,
! [X0: $i] :
( ~ ar(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_27228]) ).
tcf(c_38572,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| r(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| pr(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_20273]) ).
tcf(c_38574,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| p(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_20450]) ).
tcf(c_38575,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| p(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_20426]) ).
tcf(c_38576,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_20274]) ).
tcf(c_38577,plain,
( rr(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))) ),
inference(instantiation,[status(thm)],[c_38576]) ).
tcf(c_38578,plain,
( rr(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| p(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_38575]) ).
tcf(c_38579,plain,
( rr(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| p(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_38574]) ).
tcf(c_38581,plain,
( rr(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| r(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| pr(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_38572]) ).
tcf(c_38582,plain,
( ~ ar(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_38571]) ).
tcf(c_38601,plain,
! [X0: $i] :
( ~ aq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_33405]) ).
tcf(c_38602,plain,
( ~ aq(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_38601]) ).
tcf(c_38615,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(X0))))))))))
| ar(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_27970]) ).
tcf(c_38616,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| ar(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_26698]) ).
tcf(c_38617,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ aq(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_20846]) ).
tcf(c_38619,plain,
( rr(s(s(s(s(s(s(s(s(s(a))))))))))
| ar(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_38616]) ).
tcf(c_38620,plain,
( r(s(s(s(s(s(s(s(s(s(a))))))))))
| ar(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_38615]) ).
tcf(c_39252,plain,
! [X0: $i] :
( ~ qrp2(s(s(s(s(s(X0))))))
| ~ rr(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_32569]) ).
tcf(c_39254,plain,
! [X0: $i] :
( ~ qrp2(s(s(s(s(s(X0))))))
| ~ p(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_32564]) ).
tcf(c_39256,plain,
! [X0: $i] :
( ar(s(s(s(s(s(X0))))))
| ~ qrp2(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_32559]) ).
tcf(c_39263,plain,
! [X0: $i] :
( qp(s(s(s(s(s(s(s(X0))))))))
| qrp2(s(s(s(s(s(s(s(X0))))))))
| qrp1(s(s(s(s(s(s(s(X0))))))))
| ~ qp(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_34787]) ).
tcf(c_39435,plain,
! [X0: $i] :
( r(s(s(s(s(X0)))))
| ~ rpq2(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8069]) ).
tcf(c_39510,plain,
! [X0: $i] :
( ~ pr(s(s(s(s(s(s(X0)))))))
| ~ rq(s(s(s(s(s(s(X0)))))))
| ~ qp(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_18458]) ).
tcf(c_39529,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(X0)))))))
| ~ rpq4(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_23011]) ).
tcf(c_39532,plain,
! [X0: $i] :
( rpq4(s(s(s(s(s(s(s(X0))))))))
| rpq3(s(s(s(s(s(s(s(X0))))))))
| rq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ rq(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_17976]) ).
tcf(c_39533,plain,
( rpq4(s(s(s(s(s(s(s(a))))))))
| rpq3(s(s(s(s(s(s(s(a))))))))
| rq(s(s(s(s(s(s(s(s(a)))))))))
| ~ rq(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_39532]) ).
tcf(c_39572,plain,
! [X0: $i] :
( ~ q(s(s(s(s(s(s(s(X0))))))))
| ~ pqr1(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_29607]) ).
tcf(c_39575,plain,
! [X0: $i] :
( aq(s(s(s(s(s(s(s(X0))))))))
| ~ pqr1(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_29604]) ).
tcf(c_39579,plain,
( ~ q(s(s(s(s(s(s(s(a))))))))
| ~ pqr1(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_39572]) ).
tcf(c_39792,plain,
! [X0: $i] :
( pqr4(s(s(s(s(s(s(s(s(X0)))))))))
| pqr3(s(s(s(s(s(s(s(s(X0)))))))))
| pr(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ pr(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_35872]) ).
tcf(c_39793,plain,
( pqr4(s(s(s(s(s(s(s(s(a)))))))))
| pqr3(s(s(s(s(s(s(s(s(a)))))))))
| pr(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ pr(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_39792]) ).
tcf(c_40388,plain,
! [X0: $i] :
( qrp4(s(s(s(s(s(s(s(X0))))))))
| qrp3(s(s(s(s(s(s(s(X0))))))))
| qp(s(s(s(s(s(s(s(s(X0)))))))))
| ~ qp(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_27992]) ).
tcf(c_40391,plain,
( qrp4(s(s(s(s(s(s(s(a))))))))
| qrp3(s(s(s(s(s(s(s(a))))))))
| qp(s(s(s(s(s(s(s(s(a)))))))))
| ~ qp(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_40388]) ).
tcf(c_41002,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ qp(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_32714]) ).
tcf(c_41026,plain,
( rr(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ qp(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))) ),
inference(instantiation,[status(thm)],[c_41002]) ).
tcf(c_41082,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| rr(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_33043]) ).
tcf(c_41083,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| aq(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_33097]) ).
tcf(c_41084,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_33042]) ).
tcf(c_41085,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| p(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_33102]) ).
tcf(c_41096,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_33055]) ).
tcf(c_41097,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_33054]) ).
tcf(c_41099,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_33052]) ).
tcf(c_41100,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| r(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_33051]) ).
tcf(c_41103,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_33103]) ).
tcf(c_41106,plain,
! [X0: $i] :
( aq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_33067]) ).
tcf(c_41107,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ rpq4(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_32995]) ).
tcf(c_41112,plain,
( p(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_41103]) ).
tcf(c_41115,plain,
( q(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| r(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))) ),
inference(instantiation,[status(thm)],[c_41100]) ).
tcf(c_41116,plain,
( q(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))) ),
inference(instantiation,[status(thm)],[c_41099]) ).
tcf(c_41118,plain,
( r(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_41097]) ).
tcf(c_41119,plain,
( r(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_41096]) ).
tcf(c_41130,plain,
( r(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| p(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_41085]) ).
tcf(c_41132,plain,
( q(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| aq(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))) ),
inference(instantiation,[status(thm)],[c_41083]) ).
tcf(c_41133,plain,
( rr(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| rr(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))) ),
inference(instantiation,[status(thm)],[c_41082]) ).
tcf(c_42084,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_37228]) ).
tcf(c_42085,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ rpq3(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_37552]) ).
tcf(c_42086,plain,
! [X0: $i] :
( pp(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ap(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_31522]) ).
tcf(c_42087,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_29273]) ).
tcf(c_42089,plain,
( pp(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ap(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))) ),
inference(instantiation,[status(thm)],[c_42086]) ).
tcf(c_42090,plain,
( ap(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ rpq3(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_42085]) ).
tcf(c_42091,plain,
( ap(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_42084]) ).
tcf(c_42117,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_26704]) ).
tcf(c_42118,plain,
! [X0: $i] :
( aq(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_26508]) ).
tcf(c_42122,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| p(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_17186]) ).
tcf(c_42125,plain,
( r(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| p(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))) ),
inference(instantiation,[status(thm)],[c_42122]) ).
tcf(c_42129,plain,
( aq(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))) ),
inference(instantiation,[status(thm)],[c_42118]) ).
tcf(c_42130,plain,
( rr(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))) ),
inference(instantiation,[status(thm)],[c_42117]) ).
tcf(c_42135,plain,
! [X0: $i] :
( qq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| aq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_20271]) ).
tcf(c_42138,plain,
! [X0: $i] :
( qq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_26703]) ).
tcf(c_42139,plain,
( qq(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))) ),
inference(instantiation,[status(thm)],[c_42138]) ).
tcf(c_43258,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_38617]) ).
tcf(c_43259,plain,
( ar(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_43258]) ).
tcf(c_43371,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| q(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| p(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| pr(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_33099]) ).
tcf(c_43372,plain,
! [X0: $i] :
( qq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| q(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| p(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_33100]) ).
tcf(c_43379,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| r(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| q(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_33045]) ).
tcf(c_43386,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_33065]) ).
tcf(c_43387,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_33064]) ).
tcf(c_43394,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| q(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_33056]) ).
tcf(c_43398,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_33052]) ).
tcf(c_43405,plain,
! [X0: $i] :
( aq(s(s(s(s(s(s(s(s(s(X0))))))))))
| q(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_33067]) ).
tcf(c_43408,plain,
( aq(s(s(s(s(s(s(s(s(s(a))))))))))
| q(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_43405]) ).
tcf(c_43419,plain,
( rr(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| q(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))) ),
inference(instantiation,[status(thm)],[c_43394]) ).
tcf(c_43426,plain,
( q(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))) ),
inference(instantiation,[status(thm)],[c_43387]) ).
tcf(c_43427,plain,
( q(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))) ),
inference(instantiation,[status(thm)],[c_43386]) ).
tcf(c_43434,plain,
( rr(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| r(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| q(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_43379]) ).
tcf(c_43442,plain,
( rr(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| q(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| p(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| pr(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_43371]) ).
tcf(c_44267,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(X0)))))))
| ~ qrp2(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_39256]) ).
tcf(c_44272,plain,
! [X0: $i] :
( r(s(s(s(s(s(X0))))))
| ~ rpq2(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_39435]) ).
tcf(c_44312,plain,
! [X0: $i] :
( qq(s(X0))
| ~ rr(s(X0))
| ~ pp(s(X0))
| ~ qq(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1280]) ).
tcf(c_44313,plain,
( qq(s(a))
| ~ rr(s(a))
| ~ pp(s(a))
| ~ qq(s(s(a))) ),
inference(instantiation,[status(thm)],[c_44312]) ).
tcf(c_44411,plain,
! [X0: $i] :
( qq(s(X0))
| pp(s(X0))
| p(s(X0))
| qq(s(s(X0)))
| ~ r(s(X0))
| ~ aq(s(X0)) ),
inference(instantiation,[status(thm)],[c_1182]) ).
tcf(c_44422,plain,
! [X0: $i] :
( qq(s(X0))
| pp(s(X0))
| ~ rr(s(X0))
| ~ r(s(X0))
| ~ aq(s(X0))
| ~ q(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1244]) ).
tcf(c_44423,plain,
( qq(s(a))
| pp(s(a))
| ~ rr(s(a))
| ~ r(s(a))
| ~ aq(s(a))
| ~ q(s(s(a))) ),
inference(instantiation,[status(thm)],[c_44422]) ).
tcf(c_44427,plain,
! [X0: $i] :
( rr(s(X0))
| qq(s(X0))
| ~ pp(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| ~ q(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1247]) ).
tcf(c_44428,plain,
( rr(s(a))
| qq(s(a))
| ~ pp(s(a))
| ~ p(s(a))
| ~ aq(s(a))
| ~ q(s(s(a))) ),
inference(instantiation,[status(thm)],[c_44427]) ).
tcf(c_44440,plain,
! [X0: $i] :
( qq(s(X0))
| pp(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ r(s(X0))
| ~ q(s(X0))
| ~ aq(s(X0))
| ~ pr(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_462]) ).
tcf(c_44560,plain,
! [X0: $i] :
( q(s(s(s(s(X0)))))
| p(s(s(s(s(X0)))))
| r(s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8118]) ).
tcf(c_44630,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(X0)))))))
| p(s(s(s(s(s(s(X0)))))))
| ~ q(s(s(s(s(s(s(X0)))))))
| ~ p(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_10518]) ).
tcf(c_44631,plain,
( rr(s(s(s(s(s(s(a)))))))
| p(s(s(s(s(s(s(a)))))))
| ~ q(s(s(s(s(s(s(a)))))))
| ~ p(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_44630]) ).
tcf(c_44809,plain,
! [X0: $i] :
( p(s(s(s(s(X0)))))
| r(s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(X0)))))
| ~ pp(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_18539]) ).
tcf(c_44814,plain,
! [X0: $i] :
( p(s(s(s(s(X0)))))
| r(s(s(s(s(s(X0))))))
| ~ rr(s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_18541]) ).
tcf(c_44959,plain,
! [X0: $i] :
( q(s(s(s(s(X0)))))
| p(s(s(s(s(X0)))))
| r(s(s(s(s(s(X0))))))
| ~ ar(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_18544]) ).
tcf(c_45283,plain,
! [X0: $i] :
( ~ rpq4(s(s(s(s(s(s(X0)))))))
| ~ pp(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_23012]) ).
tcf(c_45285,plain,
! [X0: $i] :
( qq(s(s(s(s(s(s(X0)))))))
| ~ rpq4(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_23015]) ).
tcf(c_45286,plain,
( qq(s(s(s(s(s(s(a)))))))
| ~ rpq4(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_45285]) ).
tcf(c_45287,plain,
! [X0: $i] :
( rr(s(s(s(s(X0)))))
| ar(s(s(s(s(X0)))))
| ~ rr(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8604]) ).
tcf(c_45288,plain,
( rr(s(s(s(s(a)))))
| ar(s(s(s(s(a)))))
| ~ rr(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_45287]) ).
tcf(c_45291,plain,
! [X0: $i] :
( ar(s(s(s(s(X0)))))
| r(s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8605]) ).
tcf(c_45292,plain,
( ar(s(s(s(s(a)))))
| r(s(s(s(s(s(a))))))
| ~ r(s(s(s(s(a))))) ),
inference(instantiation,[status(thm)],[c_45291]) ).
tcf(c_45316,plain,
! [X0: $i] :
( r(s(s(s(s(s(X0))))))
| qq(s(s(s(s(s(X0))))))
| ~ p(s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_8130]) ).
tcf(c_45317,plain,
( r(s(s(s(s(s(a))))))
| qq(s(s(s(s(s(a))))))
| ~ p(s(s(s(s(s(a))))))
| ~ r(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_45316]) ).
tcf(c_45352,plain,
! [X0: $i] :
( q(s(s(s(s(X0)))))
| r(s(s(s(s(s(X0))))))
| ~ rr(s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8835]) ).
tcf(c_46902,plain,
! [X0: $i] :
( qp(s(s(s(s(s(s(X0)))))))
| qrp2(s(s(s(s(s(s(X0)))))))
| qrp1(s(s(s(s(s(s(X0)))))))
| ~ qp(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_34787]) ).
tcf(c_46914,plain,
! [X0: $i] :
( p(s(s(s(s(X0)))))
| ~ rr(s(s(s(s(X0)))))
| ~ qq(s(s(s(s(X0)))))
| ~ q(s(s(s(s(X0)))))
| ~ aq(s(s(s(s(X0)))))
| ~ qq(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8542]) ).
tcf(c_46915,plain,
( p(s(s(s(s(a)))))
| ~ rr(s(s(s(s(a)))))
| ~ qq(s(s(s(s(a)))))
| ~ q(s(s(s(s(a)))))
| ~ aq(s(s(s(s(a)))))
| ~ qq(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_46914]) ).
tcf(c_46923,plain,
! [X0: $i] :
( q(s(s(s(s(X0)))))
| p(s(s(s(s(X0)))))
| ~ qq(s(s(s(s(X0)))))
| ~ pp(s(s(s(s(X0)))))
| ~ aq(s(s(s(s(X0)))))
| ~ qq(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8543]) ).
tcf(c_46924,plain,
( q(s(s(s(s(a)))))
| p(s(s(s(s(a)))))
| ~ qq(s(s(s(s(a)))))
| ~ pp(s(s(s(s(a)))))
| ~ aq(s(s(s(s(a)))))
| ~ qq(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_46923]) ).
tcf(c_46977,plain,
! [X0: $i] :
( rr(s(s(s(s(X0)))))
| qq(s(s(s(s(X0)))))
| p(s(s(s(s(X0)))))
| q(s(s(s(s(s(X0))))))
| ~ pp(s(s(s(s(X0)))))
| ~ aq(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8575]) ).
tcf(c_46978,plain,
( rr(s(s(s(s(a)))))
| qq(s(s(s(s(a)))))
| p(s(s(s(s(a)))))
| q(s(s(s(s(s(a))))))
| ~ pp(s(s(s(s(a)))))
| ~ aq(s(s(s(s(a))))) ),
inference(instantiation,[status(thm)],[c_46977]) ).
tcf(c_47035,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(X0)))))))
| pp(s(s(s(s(s(s(X0)))))))
| rr(s(s(s(s(s(s(s(X0))))))))
| ~ rr(s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))))
| ~ p(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_8706]) ).
tcf(c_48054,plain,
! [X0: $i] :
( rr(s(s(s(s(s(X0))))))
| qq(s(s(s(s(s(X0))))))
| q(s(s(s(s(s(X0))))))
| rr(s(s(s(s(s(s(X0)))))))
| ~ p(s(s(s(s(s(X0))))))
| ~ ar(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_12583]) ).
tcf(c_48055,plain,
( rr(s(s(s(s(s(a))))))
| qq(s(s(s(s(s(a))))))
| q(s(s(s(s(s(a))))))
| rr(s(s(s(s(s(s(a)))))))
| ~ p(s(s(s(s(s(a))))))
| ~ ar(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_48054]) ).
tcf(c_48402,plain,
! [X0: $i] :
( rr(s(s(s(s(s(X0))))))
| qq(s(s(s(s(s(X0))))))
| q(s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))))
| ~ pp(s(s(s(s(s(X0))))))
| ~ p(s(s(s(s(s(X0))))))
| ~ ar(s(s(s(s(s(X0))))))
| ~ qp(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_27991]) ).
tcf(c_48438,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(s(X0))))))))
| ~ rpq4(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_39529]) ).
tcf(c_48439,plain,
( ap(s(s(s(s(s(s(s(a))))))))
| ~ rpq4(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_48438]) ).
tcf(c_48456,plain,
! [X0: $i] :
( ap(s(s(s(s(s(X0))))))
| pp(s(s(s(s(s(s(X0)))))))
| ~ pp(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_10477]) ).
tcf(c_48457,plain,
( ap(s(s(s(s(s(a))))))
| pp(s(s(s(s(s(s(a)))))))
| ~ pp(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_48456]) ).
tcf(c_48683,plain,
! [X0: $i] :
( qq(s(s(s(s(s(s(X0)))))))
| aq(s(s(s(s(s(s(X0)))))))
| ~ qq(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_15382]) ).
tcf(c_48684,plain,
( qq(s(s(s(s(s(s(a)))))))
| aq(s(s(s(s(s(s(a)))))))
| ~ qq(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_48683]) ).
tcf(c_48686,plain,
! [X0: $i] :
( qq(s(s(s(s(s(X0))))))
| ~ rr(s(s(s(s(s(X0))))))
| ~ pp(s(s(s(s(s(X0))))))
| ~ qq(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_10512]) ).
tcf(c_49802,plain,
! [X0: $i] :
( ap(s(s(s(s(s(X0))))))
| ~ rpq1(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_18852]) ).
tcf(c_49905,plain,
! [X0: $i] :
( qp(s(s(s(s(s(s(s(s(X0)))))))))
| qrp2(s(s(s(s(s(s(s(s(X0)))))))))
| qrp1(s(s(s(s(s(s(s(s(X0)))))))))
| ~ qp(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_39263]) ).
tcf(c_51044,plain,
! [X0: $i] :
( aq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ pqr1(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_39575]) ).
tcf(c_51045,plain,
( aq(s(s(s(s(s(s(s(s(a)))))))))
| ~ pqr1(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_51044]) ).
tcf(c_51122,plain,
! [X0: $i] :
( ~ pr(s(s(s(s(s(s(s(X0))))))))
| ~ rq(s(s(s(s(s(s(s(X0))))))))
| ~ qp(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_39510]) ).
tcf(c_51275,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(X0)))))))))
| ~ pqr4(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_16875]) ).
tcf(c_51276,plain,
! [X0: $i] :
( ~ pqr4(s(s(s(s(s(s(s(s(X0)))))))))
| ~ p(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_16872]) ).
tcf(c_51282,plain,
! [X0: $i] :
( aq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ pqr4(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_18178]) ).
tcf(c_51283,plain,
( aq(s(s(s(s(s(s(s(s(a)))))))))
| ~ pqr4(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_51282]) ).
tcf(c_51287,plain,
! [X0: $i] :
( ~ pqr4(s(s(s(s(s(s(s(s(X0)))))))))
| ~ pp(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_18289]) ).
tcf(c_51304,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(s(X0))))))))
| ~ qrp3(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_34376]) ).
tcf(c_51305,plain,
( ar(s(s(s(s(s(s(s(a))))))))
| ~ qrp3(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_51304]) ).
tcf(c_51306,plain,
! [X0: $i] :
( qrp4(s(s(s(s(s(s(s(s(s(X0))))))))))
| qrp3(s(s(s(s(s(s(s(s(s(X0))))))))))
| qp(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ qp(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_40388]) ).
tcf(c_51307,plain,
( qrp4(s(s(s(s(s(s(s(s(s(a))))))))))
| qrp3(s(s(s(s(s(s(s(s(s(a))))))))))
| qp(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ qp(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_51306]) ).
tcf(c_51473,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| rr(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_37605]) ).
tcf(c_51474,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_37608]) ).
tcf(c_51476,plain,
( rr(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))) ),
inference(instantiation,[status(thm)],[c_51474]) ).
tcf(c_51477,plain,
( rr(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| rr(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))) ),
inference(instantiation,[status(thm)],[c_51473]) ).
tcf(c_51480,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| qp(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_37215]) ).
tcf(c_51488,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_37225]) ).
tcf(c_51489,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| rr(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_37222]) ).
tcf(c_51491,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| rr(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_26687]) ).
tcf(c_51492,plain,
( ar(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| rr(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_51491]) ).
tcf(c_51494,plain,
( rr(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| rr(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))) ),
inference(instantiation,[status(thm)],[c_51489]) ).
tcf(c_51495,plain,
( rr(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))) ),
inference(instantiation,[status(thm)],[c_51488]) ).
tcf(c_51503,plain,
( rr(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| qp(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))) ),
inference(instantiation,[status(thm)],[c_51480]) ).
tcf(c_52658,plain,
! [X0: $i] :
( pr(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| pqr2(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| pqr1(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ pr(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_32871]) ).
tcf(c_52661,plain,
! [X0: $i] :
( pqr4(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| pqr3(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| pr(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ pr(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_20956]) ).
tcf(c_52662,plain,
( pqr4(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| pqr3(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| pr(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ pr(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_52661]) ).
tcf(c_53977,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_42087]) ).
tcf(c_53978,plain,
! [X0: $i] :
( ~ ar(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_33415]) ).
tcf(c_53979,plain,
( ~ ar(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))) ),
inference(instantiation,[status(thm)],[c_53978]) ).
tcf(c_53980,plain,
( ap(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))) ),
inference(instantiation,[status(thm)],[c_53977]) ).
tcf(c_53981,plain,
! [X0: $i] :
( ~ ar(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_38571]) ).
tcf(c_53982,plain,
( ~ ar(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))) ),
inference(instantiation,[status(thm)],[c_53981]) ).
tcf(c_57049,plain,
! [X0: $i] :
( p(s(s(X0)))
| ~ qq(s(s(X0)))
| ~ q(s(s(X0)))
| ~ p(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1204]) ).
tcf(c_57056,plain,
! [X0: $i] :
( aq(s(s(X0)))
| q(s(s(s(X0))))
| ~ q(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_464]) ).
tcf(c_57067,plain,
( aq(s(s(a)))
| q(s(s(s(a))))
| ~ q(s(s(a))) ),
inference(instantiation,[status(thm)],[c_57056]) ).
tcf(c_57074,plain,
( p(s(s(a)))
| ~ qq(s(s(a)))
| ~ q(s(s(a)))
| ~ p(s(s(s(a)))) ),
inference(instantiation,[status(thm)],[c_57049]) ).
tcf(c_57080,plain,
! [X0: $i] :
( q(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| ~ q(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1159]) ).
tcf(c_57081,plain,
! [X0: $i] :
( q(s(X0))
| pp(s(X0))
| ~ r(s(X0))
| ~ q(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1064]) ).
tcf(c_57084,plain,
( q(s(a))
| pp(s(a))
| ~ r(s(a))
| ~ q(s(s(a))) ),
inference(instantiation,[status(thm)],[c_57081]) ).
tcf(c_57085,plain,
( q(s(a))
| ~ r(s(a))
| ~ qq(s(a))
| ~ q(s(s(a))) ),
inference(instantiation,[status(thm)],[c_57080]) ).
tcf(c_57330,plain,
! [X0: $i] :
( aq(s(s(s(X0))))
| qq(s(s(s(s(X0)))))
| ~ qq(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_8004]) ).
tcf(c_57331,plain,
( aq(s(s(s(a))))
| qq(s(s(s(s(a)))))
| ~ qq(s(s(s(a)))) ),
inference(instantiation,[status(thm)],[c_57330]) ).
tcf(c_57530,plain,
! [X0: $i] :
( q(s(s(s(X0))))
| p(s(s(s(s(X0)))))
| ~ pp(s(s(s(X0))))
| ~ p(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_8550]) ).
tcf(c_57531,plain,
! [X0: $i] :
( q(s(s(s(X0))))
| p(s(s(s(s(X0)))))
| ~ qq(s(s(s(X0))))
| ~ p(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_8549]) ).
tcf(c_57533,plain,
! [X0: $i] :
( p(s(s(X0)))
| ap(s(s(X0)))
| ~ p(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7598]) ).
tcf(c_57536,plain,
( p(s(s(a)))
| ap(s(s(a)))
| ~ p(s(s(s(a)))) ),
inference(instantiation,[status(thm)],[c_57533]) ).
tcf(c_58722,plain,
! [X0: $i] :
( qp(s(s(s(s(s(s(s(s(s(X0))))))))))
| qrp2(s(s(s(s(s(s(s(s(s(X0))))))))))
| qrp1(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ qp(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_46902]) ).
tcf(c_58723,plain,
! [X0: $i] :
( ~ pr(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ rq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ qp(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_51122]) ).
tcf(c_58724,plain,
( ~ pr(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ rq(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ qp(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_58723]) ).
tcf(c_58725,plain,
( qp(s(s(s(s(s(s(s(s(s(a))))))))))
| qrp2(s(s(s(s(s(s(s(s(s(a))))))))))
| qrp1(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ qp(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_58722]) ).
tcf(c_58727,plain,
! [X0: $i] :
( qrp4(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| qrp3(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| qp(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ qp(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_34871]) ).
tcf(c_58728,plain,
( qrp4(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| qrp3(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| qp(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ qp(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_58727]) ).
tcf(c_60127,plain,
! [X0: $i] :
( ~ pqr4(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_51287]) ).
tcf(c_60128,plain,
( ~ pqr4(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_60127]) ).
tcf(c_60399,plain,
! [X0: $i] :
( pp(s(s(s(s(s(s(s(s(X0)))))))))
| ap(s(s(s(s(s(s(s(s(X0)))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_24401]) ).
tcf(c_60400,plain,
( pp(s(s(s(s(s(s(s(s(a)))))))))
| ap(s(s(s(s(s(s(s(s(a)))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_60399]) ).
tcf(c_60546,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(s(s(X0)))))))))
| ~ qrp2(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_44267]) ).
tcf(c_60685,plain,
! [X0: $i] :
( pr(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| pqr2(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| pqr1(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ pr(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_32871]) ).
tcf(c_60688,plain,
! [X0: $i] :
( pqr4(s(s(s(s(s(s(s(s(s(X0))))))))))
| pqr3(s(s(s(s(s(s(s(s(s(X0))))))))))
| pr(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ pr(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_20956]) ).
tcf(c_60689,plain,
( pqr4(s(s(s(s(s(s(s(s(s(a))))))))))
| pqr3(s(s(s(s(s(s(s(s(s(a))))))))))
| pr(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ pr(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_60688]) ).
tcf(c_60896,plain,
! [X0: $i] :
( qq(s(s(s(s(X0)))))
| pp(s(s(s(s(X0)))))
| p(s(s(s(s(X0)))))
| qq(s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(X0)))))
| ~ aq(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_44411]) ).
tcf(c_60897,plain,
! [X0: $i] :
( qq(s(s(s(s(X0)))))
| pp(s(s(s(s(X0)))))
| p(s(s(s(s(X0)))))
| ~ rr(s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))))
| ~ q(s(s(s(s(X0)))))
| ~ aq(s(s(s(s(X0)))))
| ~ pr(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_44440]) ).
tcf(c_61152,plain,
! [X0: $i] :
( pp(s(s(s(s(s(X0))))))
| ap(s(s(s(s(s(X0))))))
| ~ pp(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_8705]) ).
tcf(c_61153,plain,
( pp(s(s(s(s(s(a))))))
| ap(s(s(s(s(s(a))))))
| ~ pp(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_61152]) ).
tcf(c_62431,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(s(X0)))))))))
| r(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ rr(s(s(s(s(s(s(s(s(X0)))))))))
| ~ r(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_45352]) ).
tcf(c_62433,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(s(X0)))))))))
| r(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ ar(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_44959]) ).
tcf(c_62434,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(s(s(X0)))))))))
| r(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ rr(s(s(s(s(s(s(s(s(X0)))))))))
| ~ r(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_44814]) ).
tcf(c_62435,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(s(s(X0)))))))))
| r(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ r(s(s(s(s(s(s(s(s(X0)))))))))
| ~ pp(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_44809]) ).
tcf(c_62436,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(s(X0)))))))))
| r(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ r(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_44560]) ).
tcf(c_62440,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ rpq2(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_44272]) ).
tcf(c_62441,plain,
( r(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ rpq2(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_62440]) ).
tcf(c_62444,plain,
( p(s(s(s(s(s(s(s(s(a)))))))))
| r(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ r(s(s(s(s(s(s(s(s(a)))))))))
| ~ pp(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_62435]) ).
tcf(c_62445,plain,
( p(s(s(s(s(s(s(s(s(a)))))))))
| r(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ rr(s(s(s(s(s(s(s(s(a)))))))))
| ~ r(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_62434]) ).
tcf(c_62446,plain,
( q(s(s(s(s(s(s(s(s(a)))))))))
| p(s(s(s(s(s(s(s(s(a)))))))))
| r(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ ar(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_62433]) ).
tcf(c_62447,plain,
( q(s(s(s(s(s(s(s(s(a)))))))))
| r(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ rr(s(s(s(s(s(s(s(s(a)))))))))
| ~ r(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_62431]) ).
tcf(c_62482,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ pqr4(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_51275]) ).
tcf(c_62483,plain,
( r(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ pqr4(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_62482]) ).
tcf(c_62614,plain,
! [X0: $i] :
( rpq4(s(s(s(s(s(s(s(s(X0)))))))))
| rpq3(s(s(s(s(s(s(s(s(X0)))))))))
| rq(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ rq(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_39532]) ).
tcf(c_62615,plain,
( rpq4(s(s(s(s(s(s(s(s(a)))))))))
| rpq3(s(s(s(s(s(s(s(s(a)))))))))
| rq(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ rq(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_62614]) ).
tcf(c_62980,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(X0)))))))))
| qq(s(s(s(s(s(s(s(s(X0)))))))))
| q(s(s(s(s(s(s(s(s(X0)))))))))
| rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ p(s(s(s(s(s(s(s(s(X0)))))))))
| ~ ar(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_48054]) ).
tcf(c_62982,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(X0)))))))))
| qq(s(s(s(s(s(s(s(s(X0)))))))))
| q(s(s(s(s(s(s(s(s(X0)))))))))
| ~ r(s(s(s(s(s(s(s(s(X0)))))))))
| ~ pp(s(s(s(s(s(s(s(s(X0)))))))))
| ~ p(s(s(s(s(s(s(s(s(X0)))))))))
| ~ ar(s(s(s(s(s(s(s(s(X0)))))))))
| ~ qp(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_48402]) ).
tcf(c_62997,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(s(X0)))))))))
| ~ qrp3(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_32660]) ).
tcf(c_62999,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(s(X0)))))))))
| ~ rpq4(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_23005]) ).
tcf(c_63020,plain,
( q(s(s(s(s(s(s(s(s(a)))))))))
| ~ rpq4(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_62999]) ).
tcf(c_63022,plain,
( q(s(s(s(s(s(s(s(s(a)))))))))
| ~ qrp3(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_62997]) ).
tcf(c_63027,plain,
( rr(s(s(s(s(s(s(s(s(a)))))))))
| qq(s(s(s(s(s(s(s(s(a)))))))))
| q(s(s(s(s(s(s(s(s(a)))))))))
| ~ r(s(s(s(s(s(s(s(s(a)))))))))
| ~ pp(s(s(s(s(s(s(s(s(a)))))))))
| ~ p(s(s(s(s(s(s(s(s(a)))))))))
| ~ ar(s(s(s(s(s(s(s(s(a)))))))))
| ~ qp(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_62982]) ).
tcf(c_63028,plain,
( rr(s(s(s(s(s(s(s(s(a)))))))))
| qq(s(s(s(s(s(s(s(s(a)))))))))
| q(s(s(s(s(s(s(s(s(a)))))))))
| rr(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ p(s(s(s(s(s(s(s(s(a)))))))))
| ~ ar(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_62980]) ).
tcf(c_63043,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(X0)))))))))
| r(s(s(s(s(s(s(s(s(X0)))))))))
| q(s(s(s(s(s(s(s(s(X0)))))))))
| pp(s(s(s(s(s(s(s(s(X0)))))))))
| qp(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ qq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ p(s(s(s(s(s(s(s(s(X0)))))))))
| ~ ar(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_27688]) ).
tcf(c_63065,plain,
( rr(s(s(s(s(s(s(s(s(a)))))))))
| r(s(s(s(s(s(s(s(s(a)))))))))
| q(s(s(s(s(s(s(s(s(a)))))))))
| pp(s(s(s(s(s(s(s(s(a)))))))))
| qp(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ qq(s(s(s(s(s(s(s(s(a)))))))))
| ~ p(s(s(s(s(s(s(s(s(a)))))))))
| ~ ar(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_63043]) ).
tcf(c_63070,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(s(X0)))))))))
| pp(s(s(s(s(s(s(s(s(X0)))))))))
| rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ rr(s(s(s(s(s(s(s(s(X0)))))))))
| ~ r(s(s(s(s(s(s(s(s(X0)))))))))
| ~ p(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_18986]) ).
tcf(c_63071,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(X0)))))))))
| q(s(s(s(s(s(s(s(s(X0)))))))))
| pp(s(s(s(s(s(s(s(s(X0)))))))))
| r(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ qq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ ar(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_18645]) ).
tcf(c_63074,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(X0)))))))))
| q(s(s(s(s(s(s(s(s(X0)))))))))
| pp(s(s(s(s(s(s(s(s(X0)))))))))
| rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ p(s(s(s(s(s(s(s(s(X0)))))))))
| ~ ar(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_18608]) ).
tcf(c_63077,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(s(X0)))))))))
| pp(s(s(s(s(s(s(s(s(X0)))))))))
| r(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ r(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_18987]) ).
tcf(c_63078,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(s(X0)))))))))
| pp(s(s(s(s(s(s(s(s(X0)))))))))
| ~ r(s(s(s(s(s(s(s(s(X0)))))))))
| ~ q(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_18980]) ).
tcf(c_63093,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(X0)))))))))
| r(s(s(s(s(s(s(s(s(X0)))))))))
| q(s(s(s(s(s(s(s(s(X0)))))))))
| qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ qq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ p(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_18612]) ).
tcf(c_63095,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(s(X0)))))))))
| ~ rr(s(s(s(s(s(s(s(s(X0)))))))))
| ~ r(s(s(s(s(s(s(s(s(X0)))))))))
| ~ pp(s(s(s(s(s(s(s(s(X0)))))))))
| ~ ar(s(s(s(s(s(s(s(s(X0)))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_18609]) ).
tcf(c_63102,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(X0))))))))
| q(s(s(s(s(s(s(s(s(X0)))))))))
| ~ qq(s(s(s(s(s(s(s(X0))))))))
| ~ q(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_18650]) ).
tcf(c_63103,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(X0))))))))
| q(s(s(s(s(s(s(s(s(X0)))))))))
| ~ rr(s(s(s(s(s(s(s(X0))))))))
| ~ q(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_18649]) ).
tcf(c_63107,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ pp(s(s(s(s(s(s(s(s(X0)))))))))
| ~ p(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_18618]) ).
tcf(c_63111,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(X0))))))))
| pp(s(s(s(s(s(s(s(X0))))))))
| q(s(s(s(s(s(s(s(s(X0)))))))))
| ~ q(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_18607]) ).
tcf(c_63119,plain,
( r(s(s(s(s(s(s(s(a))))))))
| pp(s(s(s(s(s(s(s(a))))))))
| q(s(s(s(s(s(s(s(s(a)))))))))
| ~ q(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_63111]) ).
tcf(c_63123,plain,
( q(s(s(s(s(s(s(s(s(a)))))))))
| p(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ pp(s(s(s(s(s(s(s(s(a)))))))))
| ~ p(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_63107]) ).
tcf(c_63127,plain,
( r(s(s(s(s(s(s(s(a))))))))
| q(s(s(s(s(s(s(s(s(a)))))))))
| ~ rr(s(s(s(s(s(s(s(a))))))))
| ~ q(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_63103]) ).
tcf(c_63128,plain,
( r(s(s(s(s(s(s(s(a))))))))
| q(s(s(s(s(s(s(s(s(a)))))))))
| ~ qq(s(s(s(s(s(s(s(a))))))))
| ~ q(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_63102]) ).
tcf(c_63139,plain,
( q(s(s(s(s(s(s(s(s(a)))))))))
| pp(s(s(s(s(s(s(s(s(a)))))))))
| r(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ r(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_63077]) ).
tcf(c_63141,plain,
( rr(s(s(s(s(s(s(s(s(a)))))))))
| q(s(s(s(s(s(s(s(s(a)))))))))
| pp(s(s(s(s(s(s(s(s(a)))))))))
| rr(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ p(s(s(s(s(s(s(s(s(a)))))))))
| ~ ar(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_63074]) ).
tcf(c_63144,plain,
( rr(s(s(s(s(s(s(s(s(a)))))))))
| q(s(s(s(s(s(s(s(s(a)))))))))
| pp(s(s(s(s(s(s(s(s(a)))))))))
| r(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ qq(s(s(s(s(s(s(s(s(a)))))))))
| ~ ar(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_63071]) ).
tcf(c_63145,plain,
( q(s(s(s(s(s(s(s(s(a)))))))))
| pp(s(s(s(s(s(s(s(s(a)))))))))
| rr(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ rr(s(s(s(s(s(s(s(s(a)))))))))
| ~ r(s(s(s(s(s(s(s(s(a)))))))))
| ~ p(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_63070]) ).
tcf(c_63194,plain,
! [X0: $i] :
( ~ p(s(X0))
| ~ r(X0)
| p(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1043,c_408,c_319,c_318,c_579,c_523,c_463,c_417,c_419,c_441,c_571,c_572,c_915,c_975,c_997,c_1011,c_1094,c_1211,c_7493,c_7496,c_7498,c_7504,c_7533,c_7535,c_7591,c_7597,c_7595,c_7623,c_7622,c_7635,c_7673,c_7661,c_7650,c_7642,c_7821,c_8071,c_8069,c_8062,c_8055,c_8129,c_8251,c_8267,c_8311,c_8403,c_8444,c_8582,c_8713,c_8897,c_9750,c_9757,c_10920,c_11212,c_11461,c_12696,c_13850,c_13855,c_17380,c_18540,c_18597,c_18852,c_22615,c_27997,c_32570,c_33203,c_34775,c_39435]) ).
tcf(c_63195,negated_conjecture,
! [X0: $i] :
( p(X0)
| ~ r(X0)
| ~ p(s(X0)) ),
inference(renaming,[status(thm)],[c_63194]) ).
tcf(c_63205,plain,
! [X0: $i] :
( rr(X0)
| q(X0)
| pp(X0)
| p(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ ap(X0) ),
inference(superposition,[status(thm)],[c_1080,c_63195]) ).
tcf(c_64294,plain,
! [X0: $i] :
( pr(s(s(s(s(s(s(s(s(X0)))))))))
| pqr2(s(s(s(s(s(s(s(s(X0)))))))))
| pqr1(s(s(s(s(s(s(s(s(X0)))))))))
| ~ pr(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_32871]) ).
tcf(c_64296,plain,
( pr(s(s(s(s(s(s(s(s(a)))))))))
| pqr2(s(s(s(s(s(s(s(s(a)))))))))
| pqr1(s(s(s(s(s(s(s(s(a)))))))))
| ~ pr(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_64294]) ).
tcf(c_64311,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(X0))))))))
| ~ pqr4(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_16875]) ).
tcf(c_64312,plain,
! [X0: $i] :
( ~ pqr4(s(s(s(s(s(s(s(X0))))))))
| ~ p(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_16872]) ).
tcf(c_64315,plain,
( ~ pqr4(s(s(s(s(s(s(s(a))))))))
| ~ p(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_64312]) ).
tcf(c_64316,plain,
( r(s(s(s(s(s(s(s(a))))))))
| ~ pqr4(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_64311]) ).
tcf(c_64321,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(X0))))))))
| ~ pqr4(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_18197]) ).
tcf(c_64322,plain,
( rr(s(s(s(s(s(s(s(a))))))))
| ~ pqr4(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_64321]) ).
tcf(c_65381,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(X0)))))))
| ~ rpq1(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_49802]) ).
tcf(c_65682,plain,
! [X0: $i] :
( ~ qrp2(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_39254]) ).
tcf(c_65687,plain,
( ~ qrp2(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_65682]) ).
tcf(c_65701,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| p(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_44630]) ).
tcf(c_65706,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_24402]) ).
tcf(c_65709,plain,
! [X0: $i] :
( ~ r(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_18982]) ).
tcf(c_65710,plain,
! [X0: $i] :
( ~ r(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_18981]) ).
tcf(c_65711,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_17701]) ).
tcf(c_65712,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_14062]) ).
tcf(c_65713,plain,
( rr(s(s(s(s(s(s(s(s(s(a))))))))))
| pp(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_65712]) ).
tcf(c_65714,plain,
( q(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))) ),
inference(instantiation,[status(thm)],[c_65711]) ).
tcf(c_65715,plain,
( ~ r(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))) ),
inference(instantiation,[status(thm)],[c_65710]) ).
tcf(c_65716,plain,
( ~ r(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))) ),
inference(instantiation,[status(thm)],[c_65709]) ).
tcf(c_65719,plain,
( ap(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_65706]) ).
tcf(c_65721,plain,
( rr(s(s(s(s(s(s(s(s(s(a))))))))))
| p(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_65701]) ).
tcf(c_65725,plain,
! [X0: $i] :
( ~ pqr4(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_51276]) ).
tcf(c_65736,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(s(s(s(X0))))))))))
| ap(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_17196]) ).
tcf(c_65737,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_17188]) ).
tcf(c_65738,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_17107]) ).
tcf(c_65740,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_17187]) ).
tcf(c_65741,plain,
( p(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_65740]) ).
tcf(c_65742,plain,
( p(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_65738]) ).
tcf(c_65743,plain,
( p(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_65737]) ).
tcf(c_65756,plain,
! [X0: $i] :
( qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| p(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_20300]) ).
tcf(c_65757,plain,
( qq(s(s(s(s(s(s(s(s(s(a))))))))))
| p(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_65756]) ).
tcf(c_70246,plain,
! [X0: $i] :
( ~ qrp1(s(s(s(s(s(s(s(s(X0)))))))))
| ~ rr(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_34785]) ).
tcf(c_70248,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(s(s(X0)))))))))
| ~ qrp1(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_34775]) ).
tcf(c_71579,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| r(s(s(s(s(s(s(s(s(s(X0))))))))))
| pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ rq(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_33705]) ).
tcf(c_71580,plain,
( rr(s(s(s(s(s(s(s(s(s(a))))))))))
| r(s(s(s(s(s(s(s(s(s(a))))))))))
| pp(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ rq(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_71579]) ).
tcf(c_72181,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ar(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_38615]) ).
tcf(c_72182,plain,
( r(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ar(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))) ),
inference(instantiation,[status(thm)],[c_72181]) ).
tcf(c_78080,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| rr(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_37237]) ).
tcf(c_78081,plain,
( q(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| rr(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))) ),
inference(instantiation,[status(thm)],[c_78080]) ).
tcf(c_81069,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ar(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_38616]) ).
tcf(c_81070,plain,
( rr(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ar(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))) ),
inference(instantiation,[status(thm)],[c_81069]) ).
tcf(c_81218,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| r(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| qp(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_37229]) ).
tcf(c_81219,plain,
( rr(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| r(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| qp(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))) ),
inference(instantiation,[status(thm)],[c_81218]) ).
tcf(c_82027,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| r(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_37226]) ).
tcf(c_82029,plain,
! [X0: $i] :
( ~ aq(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_38601]) ).
tcf(c_82030,plain,
! [X0: $i] :
( qq(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| rq(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_37230]) ).
tcf(c_82035,plain,
( qq(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| rq(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))) ),
inference(instantiation,[status(thm)],[c_82030]) ).
tcf(c_82036,plain,
( ~ aq(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))) ),
inference(instantiation,[status(thm)],[c_82029]) ).
tcf(c_82037,plain,
( rr(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| r(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))) ),
inference(instantiation,[status(thm)],[c_82027]) ).
tcf(c_82039,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) ),
inference(instantiation,[status(thm)],[c_41084]) ).
tcf(c_82042,plain,
( q(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))) ),
inference(instantiation,[status(thm)],[c_82039]) ).
tcf(c_82145,plain,
! [X0: $i] :
( ~ ar(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_53978]) ).
tcf(c_82146,plain,
( ~ ar(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))) ),
inference(instantiation,[status(thm)],[c_82145]) ).
tcf(c_82167,plain,
! [X0: $i] :
( qq(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| aq(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_42135]) ).
tcf(c_82168,plain,
! [X0: $i] :
( aq(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_41106]) ).
tcf(c_82171,plain,
( aq(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))) ),
inference(instantiation,[status(thm)],[c_82168]) ).
tcf(c_82172,plain,
( qq(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| aq(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))) ),
inference(instantiation,[status(thm)],[c_82167]) ).
tcf(c_82721,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ qrp1(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_70248]) ).
tcf(c_82722,plain,
( ar(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ qrp1(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_82721]) ).
tcf(c_82902,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(X0)))))))
| r(s(s(s(s(s(s(s(X0))))))))
| ~ r(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_45291]) ).
tcf(c_82905,plain,
( ar(s(s(s(s(s(s(a)))))))
| r(s(s(s(s(s(s(s(a))))))))
| ~ r(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_82902]) ).
tcf(c_83091,plain,
! [X0: $i] :
( q(s(s(s(s(s(X0))))))
| r(s(s(s(s(s(s(X0)))))))
| ~ rr(s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_45352]) ).
tcf(c_83103,plain,
( q(s(s(s(s(s(a))))))
| r(s(s(s(s(s(s(a)))))))
| ~ rr(s(s(s(s(s(a))))))
| ~ r(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_83091]) ).
tcf(c_85866,plain,
! [X0: $i] :
( aq(s(s(s(s(s(s(X0)))))))
| ~ pqr4(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_18178]) ).
tcf(c_85867,plain,
( aq(s(s(s(s(s(s(a)))))))
| ~ pqr4(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_85866]) ).
tcf(c_86845,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(s(s(X0)))))))))
| ap(s(s(s(s(s(s(s(s(X0)))))))))
| ~ p(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_57533]) ).
tcf(c_86851,plain,
( p(s(s(s(s(s(s(s(s(a)))))))))
| ap(s(s(s(s(s(s(s(s(a)))))))))
| ~ p(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_86845]) ).
tcf(c_86899,plain,
! [X0: $i] :
( ~ pqr4(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_64312]) ).
tcf(c_86909,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_24348]) ).
tcf(c_86910,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(X0))))))))))
| p(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_19544]) ).
tcf(c_86919,plain,
( r(s(s(s(s(s(s(s(s(s(a))))))))))
| p(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_86910]) ).
tcf(c_86920,plain,
( r(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_86909]) ).
tcf(c_86933,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(X0))))))))))
| qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_20276]) ).
tcf(c_86937,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(X0))))))))))
| qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| p(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_20277]) ).
tcf(c_86943,plain,
( r(s(s(s(s(s(s(s(s(s(a))))))))))
| qq(s(s(s(s(s(s(s(s(s(a))))))))))
| p(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_86937]) ).
tcf(c_86946,plain,
( r(s(s(s(s(s(s(s(s(s(a))))))))))
| qq(s(s(s(s(s(s(s(s(s(a))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_86933]) ).
tcf(c_87998,plain,
! [X0: $i] :
( qrp4(s(s(s(s(s(s(X0)))))))
| qrp3(s(s(s(s(s(s(X0)))))))
| qp(s(s(s(s(s(s(s(X0))))))))
| ~ qp(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_27992]) ).
tcf(c_88001,plain,
( qrp4(s(s(s(s(s(s(a)))))))
| qrp3(s(s(s(s(s(s(a)))))))
| qp(s(s(s(s(s(s(s(a))))))))
| ~ qp(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_87998]) ).
tcf(c_88292,plain,
! [X0: $i] :
( rpq4(s(s(s(s(X0)))))
| rpq3(s(s(s(s(X0)))))
| rq(s(s(s(s(s(X0))))))
| ~ rq(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_10916]) ).
tcf(c_88293,plain,
( rpq4(s(s(s(s(a)))))
| rpq3(s(s(s(s(a)))))
| rq(s(s(s(s(s(a))))))
| ~ rq(s(s(s(s(a))))) ),
inference(instantiation,[status(thm)],[c_88292]) ).
tcf(c_88464,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ qrp2(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_60546]) ).
tcf(c_88465,plain,
( ar(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ qrp2(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_88464]) ).
tcf(c_88757,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(s(X0))))))))
| ~ rpq1(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_65381]) ).
tcf(c_88758,plain,
( ap(s(s(s(s(s(s(s(a))))))))
| ~ rpq1(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_88757]) ).
tcf(c_88985,plain,
! [X0: $i] :
( pr(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| rq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| qp(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_31297]) ).
tcf(c_88992,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ qrp4(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_13803]) ).
tcf(c_88997,plain,
( ar(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ qrp4(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_88992]) ).
tcf(c_89130,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ap(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_65736]) ).
tcf(c_89131,plain,
( p(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ap(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))) ),
inference(instantiation,[status(thm)],[c_89130]) ).
tcf(c_91838,plain,
! [X0: $i] :
( qp(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| qrp2(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| qrp1(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ qp(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_58722]) ).
tcf(c_91839,plain,
( qp(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| qrp2(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| qrp1(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ qp(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))) ),
inference(instantiation,[status(thm)],[c_91838]) ).
tcf(c_91891,plain,
! [X0: $i] :
( aq(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ pqr3(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_27505]) ).
tcf(c_91895,plain,
( aq(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ pqr3(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_91891]) ).
tcf(c_92313,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(s(s(X0)))))))))
| ~ rpq3(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_7601]) ).
tcf(c_92318,plain,
( ap(s(s(s(s(s(s(s(s(a)))))))))
| ~ rpq3(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_92313]) ).
tcf(c_93181,plain,
! [X0: $i] :
( ~ ar(s(X0))
| ~ aq(s(X0)) ),
inference(instantiation,[status(thm)],[c_320]) ).
tcf(c_93182,plain,
! [X0: $i] :
( ~ aq(s(X0))
| ~ ap(s(X0)) ),
inference(instantiation,[status(thm)],[c_318]) ).
tcf(c_93183,plain,
! [X0: $i] :
( ar(s(s(X0)))
| ~ aq(s(X0)) ),
inference(instantiation,[status(thm)],[c_409]) ).
tcf(c_93186,plain,
! [X0: $i] :
( p(s(X0))
| ~ q(s(X0))
| ~ pp(s(X0))
| ~ p(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1103]) ).
tcf(c_93188,plain,
! [X0: $i] :
( ~ rpq4(s(X0))
| ~ pp(s(X0)) ),
inference(instantiation,[status(thm)],[c_402]) ).
tcf(c_93196,plain,
! [X0: $i] :
( p(s(X0))
| q(s(s(X0)))
| ~ q(s(X0))
| ~ pp(s(X0)) ),
inference(instantiation,[status(thm)],[c_1259]) ).
tcf(c_93244,plain,
! [X0: $i] :
( p(s(X0))
| ~ rr(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ aq(s(X0))
| ~ qq(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1186]) ).
tcf(c_93326,plain,
! [X0: $i] :
( qq(s(X0))
| pp(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ r(s(X0))
| ~ q(s(X0))
| ~ aq(s(X0))
| ~ pr(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_462]) ).
tcf(c_93327,plain,
! [X0: $i] :
( ap(s(X0))
| pp(s(s(X0)))
| ~ pp(s(X0)) ),
inference(instantiation,[status(thm)],[c_582]) ).
tcf(c_93328,plain,
! [X0: $i] :
( pp(s(X0))
| ap(s(X0))
| ~ pp(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_581]) ).
tcf(c_93329,plain,
! [X0: $i] :
( ap(s(X0))
| p(s(s(X0)))
| ~ p(s(X0)) ),
inference(instantiation,[status(thm)],[c_580]) ).
tcf(c_93330,plain,
! [X0: $i] :
( p(s(X0))
| ap(s(X0))
| ~ p(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_579]) ).
tcf(c_93332,plain,
! [X0: $i] :
( ap(s(X0))
| ~ rpq4(s(X0)) ),
inference(instantiation,[status(thm)],[c_405]) ).
tcf(c_93333,plain,
! [X0: $i] :
( ap(s(X0))
| ~ rpq3(s(X0)) ),
inference(instantiation,[status(thm)],[c_398]) ).
tcf(c_93334,plain,
! [X0: $i] :
( ap(s(X0))
| ~ rpq2(s(X0)) ),
inference(instantiation,[status(thm)],[c_391]) ).
tcf(c_93335,plain,
! [X0: $i] :
( ap(s(X0))
| ~ rpq1(s(X0)) ),
inference(instantiation,[status(thm)],[c_384]) ).
tcf(c_93337,plain,
! [X0: $i] :
( rr(s(s(X0)))
| pp(s(s(X0)))
| p(s(s(X0)))
| qp(s(s(s(X0))))
| ~ r(s(s(X0)))
| ~ qq(s(s(X0)))
| ~ q(s(s(X0)))
| ~ ar(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_517]) ).
tcf(c_93339,plain,
! [X0: $i] :
( rr(s(s(X0)))
| qq(s(s(X0)))
| ~ pp(s(s(X0)))
| ~ p(s(s(X0)))
| ~ ar(s(s(X0)))
| ~ r(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1217]) ).
tcf(c_93346,plain,
! [X0: $i] :
( ~ q(s(s(X0)))
| ~ p(s(s(X0)))
| ~ ar(s(s(X0)))
| ~ r(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_938]) ).
tcf(c_93347,plain,
! [X0: $i] :
( ~ q(s(s(X0)))
| ~ p(s(s(X0)))
| ~ ar(s(s(X0)))
| ~ rr(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_936]) ).
tcf(c_93349,plain,
! [X0: $i] :
( ap(s(s(s(X0))))
| ~ ar(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_410]) ).
tcf(c_93350,plain,
! [X0: $i] :
( ~ ar(s(s(X0)))
| ~ ap(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_319]) ).
tcf(c_93351,plain,
! [X0: $i] :
( ~ ar(s(s(X0)))
| ~ aq(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_93181]) ).
tcf(c_93366,plain,
! [X0: $i] :
( rr(s(s(X0)))
| pp(s(s(X0)))
| ~ qq(s(s(X0)))
| ~ q(s(s(X0)))
| ~ ap(s(s(X0)))
| ~ p(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1192]) ).
tcf(c_93367,plain,
! [X0: $i] :
( rr(s(s(X0)))
| p(s(s(X0)))
| qq(s(s(s(X0))))
| ~ r(s(s(X0)))
| ~ qq(s(s(X0)))
| ~ q(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1065]) ).
tcf(c_93369,plain,
! [X0: $i] :
( p(s(s(X0)))
| ~ qq(s(s(X0)))
| ~ q(s(s(X0)))
| ~ p(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1204]) ).
tcf(c_93370,plain,
! [X0: $i] :
( p(s(s(X0)))
| q(s(s(s(X0))))
| ~ qq(s(s(X0)))
| ~ q(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1143]) ).
tcf(c_93371,plain,
! [X0: $i] :
( rr(s(s(X0)))
| p(s(s(X0)))
| q(s(s(s(X0))))
| ~ q(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1068]) ).
tcf(c_93372,plain,
! [X0: $i] :
( rr(s(s(X0)))
| p(s(s(X0)))
| ~ q(s(s(X0)))
| ~ p(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1036]) ).
tcf(c_93374,plain,
! [X0: $i] :
( ~ r(s(s(X0)))
| ~ q(s(s(X0)))
| ~ ap(s(s(X0)))
| ~ pp(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_931]) ).
tcf(c_93376,plain,
! [X0: $i] :
( aq(s(s(X0)))
| q(s(s(s(X0))))
| ~ q(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_464]) ).
tcf(c_93377,plain,
! [X0: $i] :
( ~ rpq3(s(s(X0)))
| ~ q(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_396]) ).
tcf(c_93379,plain,
! [X0: $i] :
( ~ qrp4(s(s(X0)))
| ~ q(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_371]) ).
tcf(c_93381,plain,
! [X0: $i] :
( ~ pqr3(s(s(X0)))
| ~ q(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_338]) ).
tcf(c_93382,plain,
! [X0: $i] :
( q(s(X0))
| pp(s(X0))
| ~ r(s(X0))
| ~ q(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1064]) ).
tcf(c_93383,plain,
! [X0: $i] :
( q(s(X0))
| aq(s(X0))
| ~ q(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_463]) ).
tcf(c_93384,plain,
! [X0: $i] :
( p(s(s(X0)))
| ~ q(s(s(X0)))
| ~ pp(s(s(X0)))
| ~ p(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_93186]) ).
tcf(c_93397,plain,
! [X0: $i] :
( pp(s(s(X0)))
| ~ rr(s(s(X0)))
| ~ qq(s(s(X0)))
| ~ pp(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1272]) ).
tcf(c_93399,plain,
! [X0: $i] :
( aq(s(s(X0)))
| qq(s(s(s(X0))))
| ~ qq(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_466]) ).
tcf(c_93404,plain,
! [X0: $i] :
( ~ pqr4(s(s(X0)))
| ~ qq(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_346]) ).
tcf(c_93405,plain,
! [X0: $i] :
( ~ pqr3(s(s(X0)))
| ~ qq(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_339]) ).
tcf(c_93408,plain,
( ~ pqr4(s(s(a)))
| ~ qq(s(s(a))) ),
inference(instantiation,[status(thm)],[c_93404]) ).
tcf(c_93413,plain,
! [X0: $i] :
( qq(s(X0))
| aq(s(X0))
| ~ qq(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_465]) ).
tcf(c_93448,plain,
! [X0: $i] :
( p(s(s(X0)))
| ~ rr(s(s(X0)))
| ~ qq(s(s(X0)))
| ~ q(s(s(X0)))
| ~ aq(s(s(X0)))
| ~ qq(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_93244]) ).
tcf(c_93464,plain,
! [X0: $i] :
( ~ aq(s(s(s(X0))))
| ~ ap(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_93182]) ).
tcf(c_93474,plain,
! [X0: $i] :
( ~ ar(s(s(s(X0))))
| ~ ap(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_93350]) ).
tcf(c_93489,plain,
! [X0: $i] :
( aq(s(s(X0)))
| ~ ap(s(X0)) ),
inference(instantiation,[status(thm)],[c_408]) ).
tcf(c_93551,plain,
! [X0: $i] :
( q(s(s(X0)))
| aq(s(s(X0)))
| ~ q(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_93383]) ).
tcf(c_93581,plain,
! [X0: $i] :
( qq(s(s(X0)))
| aq(s(s(X0)))
| ~ qq(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_93413]) ).
tcf(c_93661,plain,
! [X0: $i] :
( ~ r(s(s(s(X0))))
| ~ q(s(s(s(X0))))
| ~ ap(s(s(s(X0))))
| ~ pp(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_93374]) ).
tcf(c_93979,plain,
! [X0: $i] :
( aq(s(s(s(s(X0)))))
| ~ ap(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_93489]) ).
tcf(c_93984,plain,
! [X0: $i] :
( ar(s(s(s(X0))))
| ~ aq(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_93183]) ).
tcf(c_94058,plain,
! [X0: $i] :
( q(s(s(s(s(X0)))))
| pp(s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))))
| ~ q(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_93382]) ).
tcf(c_94059,plain,
! [X0: $i] :
( pp(s(s(s(s(X0)))))
| ap(s(s(s(s(X0)))))
| ~ pp(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_93328]) ).
tcf(c_94062,plain,
! [X0: $i] :
( qq(s(s(s(s(X0)))))
| pp(s(s(s(s(X0)))))
| p(s(s(s(s(X0)))))
| ~ rr(s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))))
| ~ q(s(s(s(s(X0)))))
| ~ aq(s(s(s(s(X0)))))
| ~ pr(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_93326]) ).
tcf(c_94065,plain,
! [X0: $i] :
( rr(s(s(s(X0))))
| q(s(s(s(X0))))
| pp(s(s(s(s(X0)))))
| ~ r(s(s(s(X0))))
| ~ pp(s(s(s(X0))))
| ~ p(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1044]) ).
tcf(c_94068,plain,
! [X0: $i] :
( rr(s(s(s(s(X0)))))
| pp(s(s(s(s(X0)))))
| p(s(s(s(s(X0)))))
| qp(s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(X0)))))
| ~ qq(s(s(s(s(X0)))))
| ~ q(s(s(s(s(X0)))))
| ~ ar(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_93337]) ).
tcf(c_94071,plain,
! [X0: $i] :
( rr(s(s(s(s(X0)))))
| pp(s(s(s(s(X0)))))
| ~ qq(s(s(s(s(X0)))))
| ~ q(s(s(s(s(X0)))))
| ~ ap(s(s(s(s(X0)))))
| ~ p(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_93366]) ).
tcf(c_94074,plain,
! [X0: $i] :
( pp(s(s(s(s(X0)))))
| ~ rr(s(s(s(s(X0)))))
| ~ qq(s(s(s(s(X0)))))
| ~ pp(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_93397]) ).
tcf(c_94076,plain,
! [X0: $i] :
( ap(s(s(s(X0))))
| pp(s(s(s(s(X0)))))
| ~ pp(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_93327]) ).
tcf(c_94160,plain,
! [X0: $i] :
( p(s(s(s(s(X0)))))
| ~ rr(s(s(s(s(X0)))))
| ~ qq(s(s(s(s(X0)))))
| ~ q(s(s(s(s(X0)))))
| ~ aq(s(s(s(s(X0)))))
| ~ qq(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_93448]) ).
tcf(c_94161,plain,
! [X0: $i] :
( ~ ar(s(s(s(s(X0)))))
| ~ aq(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_93351]) ).
tcf(c_94162,plain,
! [X0: $i] :
( ~ aq(s(s(s(s(X0)))))
| ~ ap(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_93464]) ).
tcf(c_94167,plain,
! [X0: $i] :
( ar(s(s(s(s(s(X0))))))
| ~ aq(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_93984]) ).
tcf(c_94296,plain,
! [X0: $i] :
( ap(s(s(s(s(X0)))))
| pp(s(s(s(s(s(X0))))))
| ~ pp(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_94076]) ).
tcf(c_94297,plain,
! [X0: $i] :
( ap(s(s(s(s(X0)))))
| ~ ar(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_93349]) ).
tcf(c_94439,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(X0)))))))
| ~ ar(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_94297]) ).
tcf(c_94440,plain,
! [X0: $i] :
( ~ ar(s(s(s(s(s(X0))))))
| ~ ap(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_93474]) ).
tcf(c_94441,plain,
! [X0: $i] :
( ~ ar(s(s(s(s(s(X0))))))
| ~ aq(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_94161]) ).
tcf(c_94442,plain,
! [X0: $i] :
( rr(s(s(s(s(s(X0))))))
| pp(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(X0))))))
| qp(s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(X0))))))
| ~ qq(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(s(X0))))))
| ~ ar(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_94068]) ).
tcf(c_94489,plain,
! [X0: $i] :
( ~ aq(s(s(s(s(s(s(X0)))))))
| ~ ap(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_94162]) ).
tcf(c_94490,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(X0)))))))
| pp(s(s(s(s(s(s(X0)))))))
| ~ qq(s(s(s(s(s(s(X0)))))))
| ~ q(s(s(s(s(s(s(X0)))))))
| ~ ap(s(s(s(s(s(s(X0)))))))
| ~ p(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_94071]) ).
tcf(c_94503,plain,
! [X0: $i] :
( ~ ar(s(s(s(s(s(s(X0)))))))
| ~ ap(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_94440]) ).
tcf(c_94505,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(X0)))))))
| qq(s(s(s(s(s(s(X0)))))))
| pp(s(s(s(s(s(s(X0)))))))
| p(s(s(s(s(s(s(X0)))))))
| rq(s(s(s(s(s(s(s(X0))))))))
| ~ rr(s(s(s(s(s(s(X0)))))))
| ~ q(s(s(s(s(s(s(X0)))))))
| ~ ap(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_569]) ).
tcf(c_94506,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(X0)))))))
| r(s(s(s(s(s(s(X0)))))))
| qq(s(s(s(s(s(s(X0)))))))
| p(s(s(s(s(s(s(X0)))))))
| ~ q(s(s(s(s(s(s(X0)))))))
| ~ pp(s(s(s(s(s(s(X0)))))))
| ~ ar(s(s(s(s(s(s(X0)))))))
| ~ qp(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_514]) ).
tcf(c_94509,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(X0)))))))
| qq(s(s(s(s(s(s(X0)))))))
| q(s(s(s(s(s(s(X0)))))))
| pp(s(s(s(s(s(s(X0)))))))
| ~ rr(s(s(s(s(s(s(X0)))))))
| ~ p(s(s(s(s(s(s(X0)))))))
| ~ aq(s(s(s(s(s(s(X0)))))))
| ~ pr(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_456]) ).
tcf(c_94510,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(X0)))))))
| ~ qq(s(s(s(s(s(s(X0)))))))
| ~ q(s(s(s(s(s(s(X0)))))))
| ~ pp(s(s(s(s(s(s(X0)))))))
| ~ aq(s(s(s(s(s(s(X0)))))))
| ~ qq(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_1189]) ).
tcf(c_94515,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(X0)))))))
| qq(s(s(s(s(s(s(X0)))))))
| pp(s(s(s(s(s(s(X0)))))))
| q(s(s(s(s(s(s(s(X0))))))))
| ~ rr(s(s(s(s(s(s(X0)))))))
| ~ aq(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_1136]) ).
tcf(c_94520,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(X0)))))))
| qq(s(s(s(s(s(s(X0)))))))
| pp(s(s(s(s(s(s(X0)))))))
| p(s(s(s(s(s(s(s(X0))))))))
| ~ rr(s(s(s(s(s(s(X0)))))))
| ~ ap(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_1085]) ).
tcf(c_94523,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(X0)))))))
| qq(s(s(s(s(s(s(X0)))))))
| pp(s(s(s(s(s(s(s(X0))))))))
| ~ q(s(s(s(s(s(s(X0)))))))
| ~ pp(s(s(s(s(s(s(X0)))))))
| ~ p(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_1037]) ).
tcf(c_94525,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(X0)))))))
| pp(s(s(s(s(s(s(X0)))))))
| p(s(s(s(s(s(s(X0)))))))
| rr(s(s(s(s(s(s(s(X0))))))))
| ~ rr(s(s(s(s(s(s(X0)))))))
| ~ q(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_990]) ).
tcf(c_94527,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(X0)))))))
| q(s(s(s(s(s(s(s(X0))))))))
| ~ rr(s(s(s(s(s(s(X0)))))))
| ~ q(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_1267]) ).
tcf(c_94530,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(X0)))))))
| ~ pp(s(s(s(s(s(s(X0)))))))
| ~ p(s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_1230]) ).
tcf(c_94532,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(X0)))))))
| q(s(s(s(s(s(s(s(X0))))))))
| ~ qq(s(s(s(s(s(s(X0)))))))
| ~ q(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_1152]) ).
tcf(c_94535,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(X0)))))))
| p(s(s(s(s(s(s(s(X0))))))))
| ~ pp(s(s(s(s(s(s(X0)))))))
| ~ p(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_1087]) ).
tcf(c_94540,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(X0)))))))
| ~ q(s(s(s(s(s(s(X0)))))))
| ~ p(s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_921]) ).
tcf(c_94548,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(X0)))))))
| ~ rpq3(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_392]) ).
tcf(c_94550,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(X0)))))))
| ~ qrp4(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_373]) ).
tcf(c_94554,plain,
( r(s(s(s(s(s(s(a)))))))
| ~ qrp4(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_94550]) ).
tcf(c_94555,plain,
( r(s(s(s(s(s(s(a)))))))
| ~ rpq3(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_94548]) ).
tcf(c_94562,plain,
! [X0: $i] :
( rr(s(s(s(s(s(X0))))))
| q(s(s(s(s(s(X0))))))
| pp(s(s(s(s(s(X0))))))
| r(s(s(s(s(s(s(X0)))))))
| ~ qq(s(s(s(s(s(X0))))))
| ~ ar(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_1113]) ).
tcf(c_94563,plain,
! [X0: $i] :
( rr(s(s(s(s(s(X0))))))
| qq(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(X0))))))
| r(s(s(s(s(s(s(X0)))))))
| ~ pp(s(s(s(s(s(X0))))))
| ~ ar(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_1108]) ).
tcf(c_94574,plain,
( rr(s(s(s(s(s(a))))))
| q(s(s(s(s(s(a))))))
| pp(s(s(s(s(s(a))))))
| r(s(s(s(s(s(s(a)))))))
| ~ qq(s(s(s(s(s(a))))))
| ~ ar(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_94562]) ).
tcf(c_94578,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(X0)))))))
| rr(s(s(s(s(s(s(s(X0))))))))
| ~ rr(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_524]) ).
tcf(c_94581,plain,
! [X0: $i] :
( ~ qrp4(s(s(s(s(s(s(X0)))))))
| ~ rr(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_374]) ).
tcf(c_94582,plain,
! [X0: $i] :
( ~ qrp3(s(s(s(s(s(s(X0)))))))
| ~ rr(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_367]) ).
tcf(c_94588,plain,
( ~ qrp4(s(s(s(s(s(s(a)))))))
| ~ rr(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_94581]) ).
tcf(c_94592,plain,
! [X0: $i] :
( rr(s(s(s(s(s(X0))))))
| ar(s(s(s(s(s(X0))))))
| ~ rr(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_523]) ).
tcf(c_94595,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(X0)))))))
| ~ rr(s(s(s(s(s(s(X0)))))))
| ~ qq(s(s(s(s(s(s(X0)))))))
| ~ q(s(s(s(s(s(s(X0)))))))
| ~ aq(s(s(s(s(s(s(X0)))))))
| ~ qq(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_94160]) ).
tcf(c_94596,plain,
! [X0: $i] :
( pp(s(s(s(s(s(s(X0)))))))
| ~ rr(s(s(s(s(s(s(X0)))))))
| ~ qq(s(s(s(s(s(s(X0)))))))
| ~ pp(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_94074]) ).
tcf(c_94597,plain,
! [X0: $i] :
( qrp4(s(s(s(s(s(s(X0)))))))
| qrp3(s(s(s(s(s(s(X0)))))))
| qp(s(s(s(s(s(s(s(X0))))))))
| ~ qp(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_894]) ).
tcf(c_94598,plain,
! [X0: $i] :
( ~ pr(s(s(s(s(s(s(X0)))))))
| ~ rq(s(s(s(s(s(s(X0)))))))
| ~ qp(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_406]) ).
tcf(c_94599,plain,
! [X0: $i] :
( qp(s(s(s(s(s(X0))))))
| qrp2(s(s(s(s(s(X0))))))
| qrp1(s(s(s(s(s(X0))))))
| ~ qp(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_888]) ).
tcf(c_94605,plain,
! [X0: $i] :
( aq(s(s(s(s(s(X0))))))
| ~ ap(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_93979]) ).
tcf(c_94618,plain,
! [X0: $i] :
( aq(s(s(s(s(s(s(s(X0))))))))
| ~ ap(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_94605]) ).
tcf(c_94764,plain,
! [X0: $i] :
( pr(s(s(s(s(s(s(X0)))))))
| rq(s(s(s(s(s(s(X0)))))))
| qp(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_407]) ).
tcf(c_94766,plain,
! [X0: $i] :
( rpq4(s(s(s(s(s(X0))))))
| rpq3(s(s(s(s(s(X0))))))
| rq(s(s(s(s(s(s(X0)))))))
| ~ rq(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_880]) ).
tcf(c_95376,plain,
! [X0: $i] :
( qp(s(s(s(s(s(s(X0)))))))
| qrp2(s(s(s(s(s(s(X0)))))))
| qrp1(s(s(s(s(s(s(X0)))))))
| ~ qp(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_94599]) ).
tcf(c_95491,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(X0)))))))
| ar(s(s(s(s(s(s(X0)))))))
| ~ rr(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_94592]) ).
tcf(c_95494,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(X0)))))))
| ~ aq(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_94167]) ).
tcf(c_95980,plain,
! [X0: $i] :
( rq(s(s(s(s(s(X0))))))
| rpq2(s(s(s(s(s(X0))))))
| rpq1(s(s(s(s(s(X0))))))
| ~ rq(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_874]) ).
tcf(c_95983,plain,
! [X0: $i] :
( rpq4(s(s(s(s(X0)))))
| rpq3(s(s(s(s(X0)))))
| rq(s(s(s(s(s(X0))))))
| ~ rq(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_880]) ).
tcf(c_96048,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(s(s(X0)))))))))
| ~ aq(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_95494]) ).
tcf(c_96049,plain,
! [X0: $i] :
( ~ ar(s(s(s(s(s(s(s(X0))))))))
| ~ aq(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_94441]) ).
tcf(c_96050,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(s(X0))))))))
| ~ rr(s(s(s(s(s(s(s(X0))))))))
| ~ qq(s(s(s(s(s(s(s(X0))))))))
| ~ q(s(s(s(s(s(s(s(X0))))))))
| ~ aq(s(s(s(s(s(s(s(X0))))))))
| ~ qq(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_94595]) ).
tcf(c_96051,plain,
! [X0: $i] :
( ~ aq(s(s(s(s(s(s(s(X0))))))))
| ~ ap(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_94489]) ).
tcf(c_96052,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(X0))))))))
| ~ qq(s(s(s(s(s(s(s(X0))))))))
| ~ q(s(s(s(s(s(s(s(X0))))))))
| ~ pp(s(s(s(s(s(s(s(X0))))))))
| ~ aq(s(s(s(s(s(s(s(X0))))))))
| ~ qq(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_94510]) ).
tcf(c_96218,plain,
! [X0: $i] :
( ap(s(s(s(s(X0)))))
| ~ rpq4(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_93332]) ).
tcf(c_96219,plain,
! [X0: $i] :
( ~ rpq4(s(s(s(s(X0)))))
| ~ pp(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_93188]) ).
tcf(c_96221,plain,
( ap(s(s(s(s(a)))))
| ~ rpq4(s(s(s(s(a))))) ),
inference(instantiation,[status(thm)],[c_96218]) ).
tcf(c_96222,plain,
! [X0: $i] :
( rpq4(s(s(s(s(s(s(X0)))))))
| rpq3(s(s(s(s(s(s(X0)))))))
| rq(s(s(s(s(s(s(s(X0))))))))
| ~ rq(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_95983]) ).
tcf(c_96244,plain,
! [X0: $i] :
( qq(s(s(s(s(s(s(s(s(X0)))))))))
| aq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_93581]) ).
tcf(c_96246,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(X0)))))))))
| qq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ pp(s(s(s(s(s(s(s(s(X0)))))))))
| ~ p(s(s(s(s(s(s(s(s(X0)))))))))
| ~ ar(s(s(s(s(s(s(s(s(X0)))))))))
| ~ r(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_93339]) ).
tcf(c_96249,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(X0))))))))
| p(s(s(s(s(s(s(s(X0))))))))
| qq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ r(s(s(s(s(s(s(s(X0))))))))
| ~ qq(s(s(s(s(s(s(s(X0))))))))
| ~ q(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_93367]) ).
tcf(c_96250,plain,
! [X0: $i] :
( aq(s(s(s(s(s(s(s(X0))))))))
| qq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ qq(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_93399]) ).
tcf(c_96251,plain,
! [X0: $i] :
( qq(s(s(s(s(s(s(s(s(X0)))))))))
| pp(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(s(X0)))))))))
| ~ rr(s(s(s(s(s(s(s(s(X0)))))))))
| ~ r(s(s(s(s(s(s(s(s(X0)))))))))
| ~ q(s(s(s(s(s(s(s(s(X0)))))))))
| ~ aq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ pr(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_94062]) ).
tcf(c_96255,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(X0)))))))))
| qq(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(s(X0)))))))))
| r(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ pp(s(s(s(s(s(s(s(s(X0)))))))))
| ~ ar(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_94563]) ).
tcf(c_96258,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(X0)))))))))
| r(s(s(s(s(s(s(s(s(X0)))))))))
| qq(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(s(X0)))))))))
| ~ q(s(s(s(s(s(s(s(s(X0)))))))))
| ~ pp(s(s(s(s(s(s(s(s(X0)))))))))
| ~ ar(s(s(s(s(s(s(s(s(X0)))))))))
| ~ qp(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_94506]) ).
tcf(c_96259,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(X0)))))))))
| qq(s(s(s(s(s(s(s(s(X0)))))))))
| pp(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(s(X0)))))))))
| rq(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ rr(s(s(s(s(s(s(s(s(X0)))))))))
| ~ q(s(s(s(s(s(s(s(s(X0)))))))))
| ~ ap(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_94505]) ).
tcf(c_96262,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(X0)))))))))
| qq(s(s(s(s(s(s(s(s(X0)))))))))
| pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ q(s(s(s(s(s(s(s(s(X0)))))))))
| ~ pp(s(s(s(s(s(s(s(s(X0)))))))))
| ~ p(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_94523]) ).
tcf(c_96264,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(X0)))))))))
| qq(s(s(s(s(s(s(s(s(X0)))))))))
| pp(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ rr(s(s(s(s(s(s(s(s(X0)))))))))
| ~ ap(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_94520]) ).
tcf(c_96266,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(X0)))))))))
| qq(s(s(s(s(s(s(s(s(X0)))))))))
| pp(s(s(s(s(s(s(s(s(X0)))))))))
| q(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ rr(s(s(s(s(s(s(s(s(X0)))))))))
| ~ aq(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_94515]) ).
tcf(c_96314,plain,
! [X0: $i] :
( ~ ar(s(s(s(s(s(s(s(s(X0)))))))))
| ~ ap(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_94503]) ).
tcf(c_96324,plain,
! [X0: $i] :
( ~ ar(s(s(s(s(s(s(s(s(X0)))))))))
| ~ aq(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_96049]) ).
tcf(c_96338,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(s(X0))))))))
| ~ ar(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_94439]) ).
tcf(c_96667,plain,
! [X0: $i] :
( aq(s(s(s(s(s(s(s(s(X0)))))))))
| qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ qq(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_96250]) ).
tcf(c_96668,plain,
! [X0: $i] :
( aq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ ap(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_94618]) ).
tcf(c_96771,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ ar(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_96338]) ).
tcf(c_96929,plain,
! [X0: $i] :
( rr(s(s(s(s(X0)))))
| qq(s(s(s(s(X0)))))
| q(s(s(s(s(X0)))))
| p(s(s(s(s(X0)))))
| pr(s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(X0)))))
| ~ pp(s(s(s(s(X0)))))
| ~ aq(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_453]) ).
tcf(c_96931,plain,
( rr(s(s(s(s(a)))))
| qq(s(s(s(s(a)))))
| q(s(s(s(s(a)))))
| p(s(s(s(s(a)))))
| pr(s(s(s(s(s(a))))))
| ~ r(s(s(s(s(a)))))
| ~ pp(s(s(s(s(a)))))
| ~ aq(s(s(s(s(a))))) ),
inference(instantiation,[status(thm)],[c_96929]) ).
tcf(c_97050,plain,
! [X0: $i] :
( aq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_96668]) ).
tcf(c_97051,plain,
! [X0: $i] :
( ~ aq(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_96051]) ).
tcf(c_97052,plain,
! [X0: $i] :
( ~ ar(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_96314]) ).
tcf(c_97053,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(X0))))))))))
| qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| p(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_96264]) ).
tcf(c_97097,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_93329]) ).
tcf(c_97102,plain,
! [X0: $i] :
( ~ q(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_93347]) ).
tcf(c_97103,plain,
! [X0: $i] :
( ~ q(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_93346]) ).
tcf(c_97104,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(s(s(s(X0))))))))))
| ap(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_93330]) ).
tcf(c_97106,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_93384]) ).
tcf(c_97108,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| p(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_93372]) ).
tcf(c_97113,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_94535]) ).
tcf(c_97118,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_96262]) ).
tcf(c_97136,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_94296]) ).
tcf(c_97142,plain,
! [X0: $i] :
( pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| ap(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_94059]) ).
tcf(c_97148,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_96052]) ).
tcf(c_97149,plain,
! [X0: $i] :
( pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_94596]) ).
tcf(c_97237,plain,
! [X0: $i] :
( ~ ar(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_96324]) ).
tcf(c_97238,plain,
! [X0: $i] :
( qq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| p(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ pr(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_96251]) ).
tcf(c_97251,plain,
! [X0: $i] :
( ~ aq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_97051]) ).
tcf(c_97260,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ aq(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_96048]) ).
tcf(c_97261,plain,
! [X0: $i] :
( aq(s(s(s(X0))))
| ~ pqr4(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_349]) ).
tcf(c_97263,plain,
! [X0: $i] :
( q(s(s(s(X0))))
| ~ pqr4(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_345]) ).
tcf(c_97266,plain,
( aq(s(s(s(a))))
| ~ pqr4(s(s(s(a)))) ),
inference(instantiation,[status(thm)],[c_97261]) ).
tcf(c_97831,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_97260]) ).
tcf(c_98208,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ap(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_97104]) ).
tcf(c_98209,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_96771]) ).
tcf(c_98265,plain,
! [X0: $i] :
( pp(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ap(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_97142]) ).
tcf(c_98287,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_97106]) ).
tcf(c_98933,plain,
! [X0: $i] :
( pr(s(s(s(X0))))
| pqr2(s(s(s(X0))))
| pqr1(s(s(s(X0))))
| ~ pr(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_902]) ).
tcf(c_98935,plain,
! [X0: $i] :
( pqr4(s(s(X0)))
| pqr3(s(s(X0)))
| pr(s(s(s(X0))))
| ~ pr(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_908]) ).
tcf(c_99147,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_98209]) ).
tcf(c_99148,plain,
! [X0: $i] :
( ~ ar(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_97052]) ).
tcf(c_99149,plain,
! [X0: $i] :
( ~ ar(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_97237]) ).
tcf(c_99150,plain,
! [X0: $i] :
( ~ q(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_97103]) ).
tcf(c_99151,plain,
! [X0: $i] :
( ~ q(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_97102]) ).
tcf(c_99152,plain,
( ~ q(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))) ),
inference(instantiation,[status(thm)],[c_99151]) ).
tcf(c_99153,plain,
( ~ q(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))) ),
inference(instantiation,[status(thm)],[c_99150]) ).
tcf(c_99158,plain,
! [X0: $i] :
( rr(s(X0))
| qq(s(X0))
| q(s(X0))
| p(s(X0))
| pr(s(s(X0)))
| ~ r(s(X0))
| ~ pp(s(X0))
| ~ aq(s(X0)) ),
inference(instantiation,[status(thm)],[c_453]) ).
tcf(c_99161,plain,
( rr(s(a))
| qq(s(a))
| q(s(a))
| p(s(a))
| pr(s(s(a)))
| ~ r(s(a))
| ~ pp(s(a))
| ~ aq(s(a)) ),
inference(instantiation,[status(thm)],[c_99158]) ).
tcf(c_99243,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ar(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) ),
inference(instantiation,[status(thm)],[c_95491]) ).
tcf(c_99244,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) ),
inference(instantiation,[status(thm)],[c_94490]) ).
tcf(c_99250,plain,
( rr(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))) ),
inference(instantiation,[status(thm)],[c_99244]) ).
tcf(c_99251,plain,
( rr(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ar(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))) ),
inference(instantiation,[status(thm)],[c_99243]) ).
tcf(c_99252,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_96249]) ).
tcf(c_99253,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| rr(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_94525]) ).
tcf(c_99254,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| rr(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_94578]) ).
tcf(c_99255,plain,
( r(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| rr(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))) ),
inference(instantiation,[status(thm)],[c_99253]) ).
tcf(c_99261,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| r(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_96255]) ).
tcf(c_99271,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) ),
inference(instantiation,[status(thm)],[c_97108]) ).
tcf(c_99295,plain,
! [X0: $i] :
( ~ aq(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_97251]) ).
tcf(c_99316,plain,
! [X0: $i] :
( ~ ar(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_99148]) ).
tcf(c_99327,plain,
! [X0: $i] :
( aq(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_97050]) ).
tcf(c_99376,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(X0))))))))))
| qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| p(s(s(s(s(s(s(s(s(s(X0))))))))))
| rq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_96259]) ).
tcf(c_99396,plain,
! [X0: $i] :
( aq(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_99327]) ).
tcf(c_99397,plain,
( aq(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))) ),
inference(instantiation,[status(thm)],[c_99396]) ).
tcf(c_99649,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) ),
inference(instantiation,[status(thm)],[c_96050]) ).
tcf(c_99657,plain,
! [X0: $i] :
( qq(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| aq(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) ),
inference(instantiation,[status(thm)],[c_96244]) ).
tcf(c_99658,plain,
( qq(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| aq(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))) ),
inference(instantiation,[status(thm)],[c_99657]) ).
tcf(c_99661,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))) ),
inference(instantiation,[status(thm)],[c_97148]) ).
tcf(c_99662,plain,
( r(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))) ),
inference(instantiation,[status(thm)],[c_99661]) ).
tcf(c_99754,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| rr(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_99254]) ).
tcf(c_99755,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_97831]) ).
tcf(c_99757,plain,
( ar(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| rr(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))) ),
inference(instantiation,[status(thm)],[c_99754]) ).
tcf(c_99829,plain,
! [X0: $i] :
( pp(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ap(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) ),
inference(instantiation,[status(thm)],[c_98265]) ).
tcf(c_99841,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_97136]) ).
tcf(c_99842,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_97118]) ).
tcf(c_99844,plain,
( ap(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))) ),
inference(instantiation,[status(thm)],[c_99841]) ).
tcf(c_100126,plain,
! [X0: $i] :
( rpq4(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| rpq3(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| rq(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ rq(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_94766]) ).
tcf(c_100127,plain,
( rpq4(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| rpq3(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| rq(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ rq(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_100126]) ).
tcf(c_100129,plain,
! [X0: $i] :
( rq(s(s(s(s(s(s(s(s(s(X0))))))))))
| rpq2(s(s(s(s(s(s(s(s(s(X0))))))))))
| rpq1(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ rq(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_95980]) ).
tcf(c_100130,plain,
! [X0: $i] :
( ~ pr(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ rq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ qp(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_94598]) ).
tcf(c_100207,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_93371]) ).
tcf(c_100208,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_93370]) ).
tcf(c_100209,plain,
! [X0: $i] :
( aq(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_93376]) ).
tcf(c_100210,plain,
( aq(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))) ),
inference(instantiation,[status(thm)],[c_100209]) ).
tcf(c_100252,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ pr(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))) ),
inference(instantiation,[status(thm)],[c_94509]) ).
tcf(c_100271,plain,
( r(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ pr(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))) ),
inference(instantiation,[status(thm)],[c_100252]) ).
tcf(c_100275,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_94532]) ).
tcf(c_100276,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_94527]) ).
tcf(c_100282,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_96266]) ).
tcf(c_100360,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_99147]) ).
tcf(c_100449,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) ),
inference(instantiation,[status(thm)],[c_99755]) ).
tcf(c_100450,plain,
! [X0: $i] :
( ~ ar(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) ),
inference(instantiation,[status(thm)],[c_99149]) ).
tcf(c_100451,plain,
( ~ ar(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))) ),
inference(instantiation,[status(thm)],[c_100450]) ).
tcf(c_100452,plain,
( ar(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))) ),
inference(instantiation,[status(thm)],[c_100449]) ).
tcf(c_100454,plain,
! [X0: $i] :
( ~ aq(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) ),
inference(instantiation,[status(thm)],[c_99295]) ).
tcf(c_100457,plain,
( ~ aq(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))) ),
inference(instantiation,[status(thm)],[c_100454]) ).
tcf(c_100509,plain,
! [X0: $i] :
( pp(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ap(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))) ),
inference(instantiation,[status(thm)],[c_99829]) ).
tcf(c_100510,plain,
( pp(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ap(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))) ),
inference(instantiation,[status(thm)],[c_100509]) ).
tcf(c_100922,plain,
! [X0: $i] :
( qp(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| qrp2(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| qrp1(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ qp(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_95376]) ).
tcf(c_100923,plain,
! [X0: $i] :
( pr(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| rq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| qp(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_94764]) ).
tcf(c_100924,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| p(s(s(s(s(s(s(s(s(s(X0))))))))))
| qp(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_94442]) ).
tcf(c_100925,plain,
! [X0: $i] :
( qrp4(s(s(s(s(s(s(s(s(s(X0))))))))))
| qrp3(s(s(s(s(s(s(s(s(s(X0))))))))))
| qp(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ qp(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_94597]) ).
tcf(c_100926,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ rpq1(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_382]) ).
tcf(c_100930,plain,
( q(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ rpq1(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_100926]) ).
tcf(c_100931,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ rpq1(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_93335]) ).
tcf(c_100937,plain,
! [X0: $i] :
( rq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| rpq2(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| rpq1(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ rq(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_100129]) ).
tcf(c_100938,plain,
( rq(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| rpq2(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| rpq1(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ rq(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))) ),
inference(instantiation,[status(thm)],[c_100937]) ).
tcf(c_102185,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))) ),
inference(instantiation,[status(thm)],[c_100360]) ).
tcf(c_102186,plain,
! [X0: $i] :
( ~ ar(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))) ),
inference(instantiation,[status(thm)],[c_99316]) ).
tcf(c_102189,plain,
( ~ ar(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))) ),
inference(instantiation,[status(thm)],[c_102186]) ).
tcf(c_102190,plain,
( ap(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))) ),
inference(instantiation,[status(thm)],[c_102185]) ).
tcf(c_102205,plain,
! [X0: $i] :
( ~ ar(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))) ),
inference(instantiation,[status(thm)],[c_100450]) ).
tcf(c_102206,plain,
( ~ ar(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))) ),
inference(instantiation,[status(thm)],[c_102205]) ).
tcf(c_102514,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ap(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))) ),
inference(instantiation,[status(thm)],[c_98208]) ).
tcf(c_102517,plain,
! [X0: $i] :
( qq(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ pr(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))) ),
inference(instantiation,[status(thm)],[c_97238]) ).
tcf(c_102522,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_97053]) ).
tcf(c_102523,plain,
( r(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))) ),
inference(instantiation,[status(thm)],[c_102522]) ).
tcf(c_102528,plain,
( qq(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ pr(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))) ),
inference(instantiation,[status(thm)],[c_102517]) ).
tcf(c_102531,plain,
( p(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ap(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))) ),
inference(instantiation,[status(thm)],[c_102514]) ).
tcf(c_102537,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_97113]) ).
tcf(c_102538,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_97097]) ).
tcf(c_102540,plain,
( r(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))) ),
inference(instantiation,[status(thm)],[c_102537]) ).
tcf(c_102549,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) ),
inference(instantiation,[status(thm)],[c_100208]) ).
tcf(c_102550,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) ),
inference(instantiation,[status(thm)],[c_100207]) ).
tcf(c_102552,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))) ),
inference(instantiation,[status(thm)],[c_99649]) ).
tcf(c_102557,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| r(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) ),
inference(instantiation,[status(thm)],[c_99261]) ).
tcf(c_102558,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) ),
inference(instantiation,[status(thm)],[c_99252]) ).
tcf(c_102563,plain,
( rr(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))) ),
inference(instantiation,[status(thm)],[c_102558]) ).
tcf(c_102569,plain,
( p(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))) ),
inference(instantiation,[status(thm)],[c_102552]) ).
tcf(c_102572,plain,
( p(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))) ),
inference(instantiation,[status(thm)],[c_102549]) ).
tcf(c_102747,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ rpq1(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_100931]) ).
tcf(c_102748,plain,
( ap(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ rpq1(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_102747]) ).
tcf(c_102814,plain,
! [X0: $i] :
( qp(s(s(s(s(s(s(s(s(s(X0))))))))))
| qrp2(s(s(s(s(s(s(s(s(s(X0))))))))))
| qrp1(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ qp(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_95376]) ).
tcf(c_102815,plain,
! [X0: $i] :
( pr(s(s(s(s(s(s(s(s(s(X0))))))))))
| rq(s(s(s(s(s(s(s(s(s(X0))))))))))
| qp(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_94764]) ).
tcf(c_102822,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ rpq2(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_93334]) ).
tcf(c_102825,plain,
( ap(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ rpq2(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_102822]) ).
tcf(c_102853,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) ),
inference(instantiation,[status(thm)],[c_102538]) ).
tcf(c_102854,plain,
( ap(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))) ),
inference(instantiation,[status(thm)],[c_102853]) ).
tcf(c_102877,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| qp(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_100924]) ).
tcf(c_102901,plain,
! [X0: $i] :
( ~ aq(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))) ),
inference(instantiation,[status(thm)],[c_100454]) ).
tcf(c_102904,plain,
( ~ aq(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))) ),
inference(instantiation,[status(thm)],[c_102901]) ).
tcf(c_103698,plain,
! [X0: $i] :
( qq(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| aq(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))) ),
inference(instantiation,[status(thm)],[c_99657]) ).
tcf(c_103735,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) ),
inference(instantiation,[status(thm)],[c_100282]) ).
tcf(c_103737,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_99842]) ).
tcf(c_103741,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_99841]) ).
tcf(c_103746,plain,
( r(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))) ),
inference(instantiation,[status(thm)],[c_103737]) ).
tcf(c_103748,plain,
( r(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))) ),
inference(instantiation,[status(thm)],[c_103735]) ).
tcf(c_104716,plain,
! [X0: $i] :
( ~ ar(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))) ),
inference(instantiation,[status(thm)],[c_102186]) ).
tcf(c_104717,plain,
( ~ ar(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))) ),
inference(instantiation,[status(thm)],[c_104716]) ).
tcf(c_104877,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(s(s(X0)))))))))
| ~ qrp4(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_377]) ).
tcf(c_104878,plain,
! [X0: $i] :
( pp(s(s(s(s(s(s(s(s(X0)))))))))
| ~ qrp4(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_376]) ).
tcf(c_104879,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(s(s(X0)))))))))
| ~ qrp4(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_375]) ).
tcf(c_104881,plain,
( pp(s(s(s(s(s(s(s(s(a)))))))))
| ~ qrp4(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_104878]) ).
tcf(c_104884,plain,
! [X0: $i] :
( ~ qrp4(s(s(s(s(s(s(s(s(X0)))))))))
| ~ q(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_93379]) ).
tcf(c_104885,plain,
( ~ qrp4(s(s(s(s(s(s(s(s(a)))))))))
| ~ q(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_104884]) ).
tcf(c_104887,plain,
! [X0: $i] :
( ~ qrp4(s(s(s(s(s(s(s(s(X0)))))))))
| ~ rr(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_94581]) ).
tcf(c_104888,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(X0)))))))))
| ~ qrp4(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_94550]) ).
tcf(c_104889,plain,
( r(s(s(s(s(s(s(s(s(a)))))))))
| ~ qrp4(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_104888]) ).
tcf(c_104896,plain,
! [X0: $i] :
( qp(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| qrp2(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| qrp1(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ qp(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_102814]) ).
tcf(c_104902,plain,
! [X0: $i] :
( pqr4(s(s(s(s(s(s(s(s(s(X0))))))))))
| pqr3(s(s(s(s(s(s(s(s(s(X0))))))))))
| pr(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ pr(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_98935]) ).
tcf(c_104918,plain,
! [X0: $i] :
( pr(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| rq(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| qp(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_102815]) ).
tcf(c_104919,plain,
( pr(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| rq(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| qp(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))) ),
inference(instantiation,[status(thm)],[c_104918]) ).
tcf(c_104923,plain,
! [X0: $i] :
( qrp4(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| qrp3(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| qp(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ qp(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_100925]) ).
tcf(c_105165,plain,
! [X0: $i] :
( aq(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))) ),
inference(instantiation,[status(thm)],[c_100209]) ).
tcf(c_105172,plain,
( aq(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))) ),
inference(instantiation,[status(thm)],[c_105165]) ).
tcf(c_105350,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) ),
inference(instantiation,[status(thm)],[c_100276]) ).
tcf(c_105351,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) ),
inference(instantiation,[status(thm)],[c_100275]) ).
tcf(c_105380,plain,
( r(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))) ),
inference(instantiation,[status(thm)],[c_105351]) ).
tcf(c_105381,plain,
( r(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))) ),
inference(instantiation,[status(thm)],[c_105350]) ).
tcf(c_105478,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ar(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))) ),
inference(instantiation,[status(thm)],[c_99243]) ).
tcf(c_105479,plain,
( rr(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ar(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))) ),
inference(instantiation,[status(thm)],[c_105478]) ).
tcf(c_105699,plain,
! [X0: $i] :
( qq(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| aq(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))) ),
inference(instantiation,[status(thm)],[c_103698]) ).
tcf(c_105700,plain,
( qq(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| aq(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))) ),
inference(instantiation,[status(thm)],[c_105699]) ).
tcf(c_105722,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) ),
inference(instantiation,[status(thm)],[c_103741]) ).
tcf(c_105723,plain,
( ap(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))) ),
inference(instantiation,[status(thm)],[c_105722]) ).
tcf(c_106243,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ qrp4(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_104877]) ).
tcf(c_106252,plain,
! [X0: $i] :
( pqr4(s(s(s(s(s(s(s(s(X0)))))))))
| pqr3(s(s(s(s(s(s(s(s(X0)))))))))
| pr(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ pr(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_98935]) ).
tcf(c_106253,plain,
! [X0: $i] :
( pr(s(s(s(s(s(s(s(s(s(X0))))))))))
| pqr2(s(s(s(s(s(s(s(s(s(X0))))))))))
| pqr1(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ pr(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_98933]) ).
tcf(c_106266,plain,
! [X0: $i] :
( aq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ pqr1(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_328]) ).
tcf(c_106268,plain,
! [X0: $i] :
( ~ qq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ pqr1(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_325]) ).
tcf(c_106506,plain,
! [X0: $i] :
( ~ qrp4(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_104887]) ).
tcf(c_106507,plain,
! [X0: $i] :
( ~ qrp4(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_104884]) ).
tcf(c_106508,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ qrp4(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_104879]) ).
tcf(c_106511,plain,
( p(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ qrp4(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_106508]) ).
tcf(c_106512,plain,
( ~ qrp4(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_106507]) ).
tcf(c_106513,plain,
( ~ qrp4(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_106506]) ).
tcf(c_106932,plain,
! [X0: $i] :
( pqr4(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| pqr3(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| pr(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))))
| ~ pr(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))) ),
inference(instantiation,[status(thm)],[c_104902]) ).
tcf(c_106933,plain,
( pqr4(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| pqr3(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| pr(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))))
| ~ pr(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))) ),
inference(instantiation,[status(thm)],[c_106932]) ).
tcf(c_111498,plain,
! [X0: $i] :
( aq(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ pqr1(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_106266]) ).
tcf(c_111627,plain,
! [X0: $i] :
( aq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ pqr3(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_342]) ).
tcf(c_111628,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(X0)))))))))
| ~ pqr3(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_341]) ).
tcf(c_111630,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(s(s(X0)))))))))
| ~ pqr3(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_336]) ).
tcf(c_111633,plain,
( aq(s(s(s(s(s(s(s(s(a)))))))))
| ~ pqr3(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_111627]) ).
tcf(c_111636,plain,
! [X0: $i] :
( ~ pqr3(s(s(s(s(s(s(s(s(X0)))))))))
| ~ qq(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_93405]) ).
tcf(c_111637,plain,
! [X0: $i] :
( ~ pqr3(s(s(s(s(s(s(s(s(X0)))))))))
| ~ q(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_93381]) ).
tcf(c_111692,plain,
! [X0: $i] :
( qrp4(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| qrp3(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| qp(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ qp(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_104923]) ).
tcf(c_111693,plain,
( qrp4(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| qrp3(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| qp(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ qp(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))) ),
inference(instantiation,[status(thm)],[c_111692]) ).
tcf(c_111698,plain,
! [X0: $i] :
( qp(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| qrp2(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| qrp1(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ qp(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) ),
inference(instantiation,[status(thm)],[c_100922]) ).
tcf(c_111699,plain,
( qp(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| qrp2(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| qrp1(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ qp(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))) ),
inference(instantiation,[status(thm)],[c_111698]) ).
tcf(c_113532,plain,
! [X0: $i] :
( aq(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| ~ pqr3(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))) ),
inference(instantiation,[status(thm)],[c_111627]) ).
tcf(c_113533,plain,
( aq(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| ~ pqr3(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))) ),
inference(instantiation,[status(thm)],[c_113532]) ).
tcf(c_113727,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(s(s(X0)))))))))
| ~ qrp3(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_370]) ).
tcf(c_113728,plain,
! [X0: $i] :
( pp(s(s(s(s(s(s(s(s(X0)))))))))
| ~ qrp3(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_369]) ).
tcf(c_113732,plain,
( pp(s(s(s(s(s(s(s(s(a)))))))))
| ~ qrp3(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_113728]) ).
tcf(c_113736,plain,
! [X0: $i] :
( ~ qrp3(s(s(s(s(s(s(s(s(X0)))))))))
| ~ rr(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_94582]) ).
tcf(c_113737,plain,
( ~ qrp3(s(s(s(s(s(s(s(s(a)))))))))
| ~ rr(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_113736]) ).
tcf(c_114338,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ qrp3(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_113727]) ).
tcf(c_114339,plain,
( ar(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ qrp3(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_114338]) ).
tcf(c_114373,plain,
! [X0: $i] :
( r(s(X0))
| p(s(X0))
| ~ aq(s(X0))
| ~ qq(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_911]) ).
tcf(c_114374,plain,
( r(s(a))
| p(s(a))
| ~ aq(s(a))
| ~ qq(s(s(a))) ),
inference(instantiation,[status(thm)],[c_114373]) ).
tcf(c_114474,plain,
! [X0: $i] :
( r(s(s(X0)))
| ~ qq(s(s(X0)))
| ~ q(s(s(X0)))
| ~ r(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1238]) ).
tcf(c_114483,plain,
! [X0: $i] :
( p(s(X0))
| r(s(s(X0)))
| ~ r(s(X0))
| ~ pp(s(X0)) ),
inference(instantiation,[status(thm)],[c_1241]) ).
tcf(c_114675,plain,
! [X0: $i] :
( r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ pp(s(X0))
| ~ aq(s(X0))
| ~ qq(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1189]) ).
tcf(c_114676,plain,
( r(s(a))
| ~ qq(s(a))
| ~ q(s(a))
| ~ pp(s(a))
| ~ aq(s(a))
| ~ qq(s(s(a))) ),
inference(instantiation,[status(thm)],[c_114675]) ).
tcf(c_114694,plain,
! [X0: $i] :
( rr(s(X0))
| r(s(X0))
| qq(s(X0))
| pr(s(s(X0)))
| ~ q(s(X0))
| ~ pp(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0)) ),
inference(instantiation,[status(thm)],[c_459]) ).
tcf(c_114695,plain,
( rr(s(a))
| r(s(a))
| qq(s(a))
| pr(s(s(a)))
| ~ q(s(a))
| ~ pp(s(a))
| ~ p(s(a))
| ~ aq(s(a)) ),
inference(instantiation,[status(thm)],[c_114694]) ).
tcf(c_115531,plain,
! [X0: $i] :
( qp(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| qrp2(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| qrp1(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ qp(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))) ),
inference(instantiation,[status(thm)],[c_104896]) ).
tcf(c_115532,plain,
( qp(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| qrp2(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| qrp1(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ qp(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))) ),
inference(instantiation,[status(thm)],[c_115531]) ).
tcf(c_115534,plain,
! [X0: $i] :
( qrp4(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| qrp3(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| qp(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ qp(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_111692]) ).
tcf(c_115535,plain,
( qrp4(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| qrp3(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| qp(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ qp(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))) ),
inference(instantiation,[status(thm)],[c_115534]) ).
tcf(c_115568,plain,
! [X0: $i] :
( pqr4(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| pqr3(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| pr(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| ~ pr(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) ),
inference(instantiation,[status(thm)],[c_106252]) ).
tcf(c_115569,plain,
( pqr4(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| pqr3(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| pr(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| ~ pr(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))) ),
inference(instantiation,[status(thm)],[c_115568]) ).
tcf(c_115572,plain,
! [X0: $i] :
( ~ pr(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ rq(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ qp(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) ),
inference(instantiation,[status(thm)],[c_100130]) ).
tcf(c_115573,plain,
( ~ pr(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ rq(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ qp(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))) ),
inference(instantiation,[status(thm)],[c_115572]) ).
tcf(c_117234,plain,
! [X0: $i] :
( q(X0)
| p(X0)
| ~ qq(X0)
| ~ pp(s(X0))
| ~ ap(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1091,c_528,c_530,c_1091,c_1201,c_63205]) ).
tcf(c_117235,negated_conjecture,
! [X0: $i] :
( q(X0)
| p(X0)
| ~ qq(X0)
| ~ ap(X0)
| ~ pp(s(X0)) ),
inference(renaming,[status(thm)],[c_117234]) ).
tcf(c_117620,plain,
! [X0: $i] :
( r(s(s(s(s(X0)))))
| ar(s(s(s(s(X0)))))
| ~ r(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_521]) ).
tcf(c_117621,plain,
( r(s(s(s(s(a)))))
| ar(s(s(s(s(a)))))
| ~ r(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_117620]) ).
tcf(c_117638,plain,
! [X0: $i] :
( aq(s(s(s(s(s(X0))))))
| qq(s(s(s(s(s(s(X0)))))))
| ~ qq(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_93399]) ).
tcf(c_117642,plain,
! [X0: $i] :
( r(s(s(s(s(s(X0))))))
| ~ qq(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_114474]) ).
tcf(c_117651,plain,
! [X0: $i] :
( r(s(s(s(X0))))
| qq(s(s(s(X0))))
| pp(s(s(s(X0))))
| p(s(s(s(X0))))
| rq(s(s(s(s(X0)))))
| ~ rr(s(s(s(X0))))
| ~ q(s(s(s(X0))))
| ~ ap(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_569]) ).
tcf(c_117653,plain,
! [X0: $i] :
( r(s(s(s(X0))))
| pp(s(s(s(X0))))
| p(s(s(s(X0))))
| rr(s(s(s(s(X0)))))
| ~ rr(s(s(s(X0))))
| ~ q(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_990]) ).
tcf(c_117654,plain,
! [X0: $i] :
( r(s(s(s(X0))))
| ~ rr(s(s(s(X0))))
| ~ q(s(s(s(X0))))
| ~ r(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_1122]) ).
tcf(c_117657,plain,
! [X0: $i] :
( p(s(s(s(X0))))
| ~ rr(s(s(s(X0))))
| ~ r(s(s(s(X0))))
| ~ p(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_1211]) ).
tcf(c_117661,plain,
! [X0: $i] :
( ~ qrp4(s(s(s(X0))))
| ~ rr(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_374]) ).
tcf(c_117662,plain,
! [X0: $i] :
( ~ qrp3(s(s(s(X0))))
| ~ rr(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_367]) ).
tcf(c_117664,plain,
! [X0: $i] :
( ~ qrp1(s(s(s(X0))))
| ~ rr(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_353]) ).
tcf(c_117875,plain,
! [X0: $i] :
( p(s(s(s(X0))))
| r(s(s(s(s(X0)))))
| ~ rr(s(s(s(X0))))
| ~ r(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1124]) ).
tcf(c_117880,plain,
! [X0: $i] :
( ar(s(s(s(X0))))
| r(s(s(s(s(X0)))))
| ~ r(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_522]) ).
tcf(c_117882,plain,
! [X0: $i] :
( p(s(s(s(X0))))
| r(s(s(s(s(X0)))))
| ~ r(s(s(s(X0))))
| ~ pp(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_114483]) ).
tcf(c_118068,plain,
! [X0: $i] :
( ap(s(s(s(s(s(X0))))))
| ~ rpq3(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_93333]) ).
tcf(c_118071,plain,
( ap(s(s(s(s(s(a))))))
| ~ rpq3(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_118068]) ).
tcf(c_118072,plain,
! [X0: $i] :
( ~ rpq3(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_93377]) ).
tcf(c_118160,plain,
! [X0: $i] :
( rpq4(s(s(s(s(s(s(s(s(s(X0))))))))))
| rpq3(s(s(s(s(s(s(s(s(s(X0))))))))))
| rq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ rq(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_96222]) ).
tcf(c_118161,plain,
! [X0: $i] :
( rq(s(s(s(s(s(s(s(s(X0)))))))))
| rpq2(s(s(s(s(s(s(s(s(X0)))))))))
| rpq1(s(s(s(s(s(s(s(s(X0)))))))))
| ~ rq(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_95980]) ).
tcf(c_118162,plain,
! [X0: $i] :
( ~ pr(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ rq(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ qp(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_94598]) ).
tcf(c_118214,plain,
! [X0: $i] :
( ~ qrp3(s(s(s(s(s(s(s(s(X0)))))))))
| ~ p(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_368]) ).
tcf(c_118215,plain,
! [X0: $i] :
( ~ qrp2(s(s(s(s(s(s(s(s(X0)))))))))
| ~ p(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_361]) ).
tcf(c_118223,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ p(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_93329]) ).
tcf(c_118230,plain,
( ap(s(s(s(s(s(s(s(s(a)))))))))
| p(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ p(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_118223]) ).
tcf(c_118234,plain,
! [X0: $i] :
( ~ q(s(s(s(s(s(s(s(s(X0)))))))))
| ~ p(s(s(s(s(s(s(s(s(X0)))))))))
| ~ ar(s(s(s(s(s(s(s(s(X0)))))))))
| ~ r(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_93346]) ).
tcf(c_118243,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(X0)))))))))
| ~ q(s(s(s(s(s(s(s(s(X0)))))))))
| ~ p(s(s(s(s(s(s(s(s(X0)))))))))
| ~ r(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_94540]) ).
tcf(c_118244,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ pp(s(s(s(s(s(s(s(s(X0)))))))))
| ~ p(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_94535]) ).
tcf(c_118247,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(X0)))))))))
| ~ pp(s(s(s(s(s(s(s(s(X0)))))))))
| ~ p(s(s(s(s(s(s(s(s(X0)))))))))
| ~ r(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_94530]) ).
tcf(c_118248,plain,
( r(s(s(s(s(s(s(s(s(a)))))))))
| ~ pp(s(s(s(s(s(s(s(s(a)))))))))
| ~ p(s(s(s(s(s(s(s(s(a)))))))))
| ~ r(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_118247]) ).
tcf(c_118396,plain,
! [X0: $i] :
( r(s(s(s(s(s(X0))))))
| q(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(s(X0)))))))
| ~ p(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_852]) ).
tcf(c_118402,plain,
! [X0: $i] :
( r(s(s(s(s(X0)))))
| q(s(s(s(s(s(X0))))))
| ~ rr(s(s(s(s(X0)))))
| ~ q(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_1267]) ).
tcf(c_118407,plain,
! [X0: $i] :
( r(s(s(s(s(X0)))))
| p(s(s(s(s(X0)))))
| q(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_864]) ).
tcf(c_118412,plain,
( r(s(s(s(s(a)))))
| q(s(s(s(s(s(a))))))
| ~ rr(s(s(s(s(a)))))
| ~ q(s(s(s(s(a))))) ),
inference(instantiation,[status(thm)],[c_118402]) ).
tcf(c_118414,plain,
! [X0: $i] :
( q(s(s(s(s(s(X0))))))
| aq(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_93551]) ).
tcf(c_118422,plain,
! [X0: $i] :
( p(s(s(s(s(X0)))))
| q(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(X0)))))
| ~ pp(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_93196]) ).
tcf(c_118423,plain,
( p(s(s(s(s(a)))))
| q(s(s(s(s(s(a))))))
| ~ q(s(s(s(s(a)))))
| ~ pp(s(s(s(s(a))))) ),
inference(instantiation,[status(thm)],[c_118422]) ).
tcf(c_118424,plain,
! [X0: $i] :
( q(s(s(s(s(s(X0))))))
| ~ pqr4(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_97263]) ).
tcf(c_118427,plain,
! [X0: $i] :
( rr(s(s(s(s(s(X0))))))
| q(s(s(s(s(s(X0))))))
| pp(s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(X0))))))
| ~ pp(s(s(s(s(s(X0))))))
| ~ p(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_94065]) ).
tcf(c_118429,plain,
! [X0: $i] :
( rr(s(s(s(s(X0)))))
| p(s(s(s(s(X0)))))
| q(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_93371]) ).
tcf(c_118442,plain,
! [X0: $i] :
( q(s(s(s(s(s(X0))))))
| pp(s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_94058]) ).
tcf(c_118714,plain,
! [X0: $i] :
( ar(s(s(s(s(s(X0))))))
| ~ qrp1(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_356]) ).
tcf(c_118715,plain,
! [X0: $i] :
( p(s(s(s(s(s(X0))))))
| ~ qrp1(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_354]) ).
tcf(c_119278,plain,
! [X0: $i] :
( pr(s(s(s(s(s(s(s(s(X0)))))))))
| rq(s(s(s(s(s(s(s(s(X0)))))))))
| qp(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_94764]) ).
tcf(c_119412,plain,
! [X0: $i] :
( ~ qrp2(s(s(s(s(s(s(s(X0))))))))
| ~ p(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_361]) ).
tcf(c_119436,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(X0)))))))
| ~ qq(s(s(s(s(s(s(X0)))))))
| ~ q(s(s(s(s(s(s(X0)))))))
| ~ p(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_93369]) ).
tcf(c_119437,plain,
( p(s(s(s(s(s(s(a)))))))
| ~ qq(s(s(s(s(s(s(a)))))))
| ~ q(s(s(s(s(s(s(a)))))))
| ~ p(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_119436]) ).
tcf(c_119441,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(X0))))))))
| ~ q(s(s(s(s(s(s(s(X0))))))))
| ~ p(s(s(s(s(s(s(s(X0))))))))
| ~ r(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_94540]) ).
tcf(c_119536,plain,
! [X0: $i] :
( ~ rpq4(s(s(s(s(s(s(s(s(X0)))))))))
| ~ pp(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_96219]) ).
tcf(c_119587,plain,
! [X0: $i] :
( ~ r(s(s(s(s(s(s(X0)))))))
| ~ q(s(s(s(s(s(s(X0)))))))
| ~ ap(s(s(s(s(s(s(X0)))))))
| ~ pp(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_93661]) ).
tcf(c_119804,plain,
! [X0: $i] :
( rq(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| rpq2(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| rpq1(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ rq(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))) ),
inference(instantiation,[status(thm)],[c_100937]) ).
tcf(c_119805,plain,
! [X0: $i] :
( pr(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| rq(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| qp(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) ),
inference(instantiation,[status(thm)],[c_100923]) ).
tcf(c_119806,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| rq(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_99376]) ).
tcf(c_119807,plain,
( r(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| rq(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))) ),
inference(instantiation,[status(thm)],[c_119806]) ).
tcf(c_119809,plain,
( rq(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| rpq2(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| rpq1(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ rq(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))) ),
inference(instantiation,[status(thm)],[c_119804]) ).
tcf(c_119811,plain,
! [X0: $i] :
( rpq4(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| rpq3(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| rq(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ rq(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_100126]) ).
tcf(c_119812,plain,
( rpq4(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| rpq3(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| rq(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ rq(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))) ),
inference(instantiation,[status(thm)],[c_119811]) ).
tcf(c_120188,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| qp(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))) ),
inference(instantiation,[status(thm)],[c_102877]) ).
tcf(c_120204,plain,
( rr(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| qp(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))) ),
inference(instantiation,[status(thm)],[c_120188]) ).
tcf(c_120687,plain,
! [X0: $i] :
( aq(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_96667]) ).
tcf(c_120695,plain,
! [X0: $i] :
( pp(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_97149]) ).
tcf(c_121525,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ qrp4(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) ),
inference(instantiation,[status(thm)],[c_106508]) ).
tcf(c_121537,plain,
( p(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ qrp4(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))) ),
inference(instantiation,[status(thm)],[c_121525]) ).
tcf(c_121889,plain,
! [X0: $i] :
( pqr4(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))))
| pqr3(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))))
| pr(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))))
| ~ pr(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))) ),
inference(instantiation,[status(thm)],[c_115568]) ).
tcf(c_121892,plain,
( pqr4(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))))
| pqr3(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))))
| pr(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))))
| ~ pr(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))) ),
inference(instantiation,[status(thm)],[c_121889]) ).
tcf(c_123584,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| r(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))) ),
inference(instantiation,[status(thm)],[c_102557]) ).
tcf(c_123585,plain,
( rr(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| r(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))) ),
inference(instantiation,[status(thm)],[c_123584]) ).
tcf(c_123675,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ qrp4(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_106243]) ).
tcf(c_123676,plain,
( ar(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ qrp4(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))) ),
inference(instantiation,[status(thm)],[c_123675]) ).
tcf(c_123679,plain,
! [X0: $i] :
( ~ qrp4(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_106506]) ).
tcf(c_123685,plain,
! [X0: $i] :
( qrp4(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| qrp3(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| qp(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))))
| ~ qp(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))) ),
inference(instantiation,[status(thm)],[c_115534]) ).
tcf(c_123686,plain,
( qrp4(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| qrp3(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| qp(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))))
| ~ qp(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))) ),
inference(instantiation,[status(thm)],[c_123685]) ).
tcf(c_127892,plain,
! [X0: $i] :
( ~ qrp1(s(s(s(s(s(X0))))))
| ~ rr(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_117664]) ).
tcf(c_127979,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(X0)))))))
| ~ qrp1(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_118714]) ).
tcf(c_128009,plain,
! [X0: $i] :
( ar(s(X0))
| rr(s(s(X0)))
| ~ rr(s(X0)) ),
inference(instantiation,[status(thm)],[c_524]) ).
tcf(c_128080,plain,
! [X0: $i] :
( rr(s(X0))
| q(s(X0))
| pp(s(X0))
| pp(s(s(X0)))
| ~ r(s(X0))
| ~ ap(s(X0)) ),
inference(instantiation,[status(thm)],[c_1078]) ).
tcf(c_128144,plain,
! [X0: $i] :
( pp(s(s(X0)))
| ap(s(s(X0)))
| ~ pp(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_93328]) ).
tcf(c_128145,plain,
( pp(s(s(a)))
| ap(s(s(a)))
| ~ pp(s(s(s(a)))) ),
inference(instantiation,[status(thm)],[c_128144]) ).
tcf(c_128152,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(s(X0))))))))
| rr(s(s(s(s(s(s(s(s(X0)))))))))
| ~ rr(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_94578]) ).
tcf(c_128153,plain,
( ar(s(s(s(s(s(s(s(a))))))))
| rr(s(s(s(s(s(s(s(s(a)))))))))
| ~ rr(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_128152]) ).
tcf(c_128714,plain,
! [X0: $i] :
( r(s(s(s(s(X0)))))
| pp(s(s(s(s(X0)))))
| p(s(s(s(s(X0)))))
| rr(s(s(s(s(s(X0))))))
| ~ rr(s(s(s(s(X0)))))
| ~ q(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_117653]) ).
tcf(c_128848,plain,
! [X0: $i] :
( r(s(s(s(s(X0)))))
| qq(s(s(s(s(X0)))))
| pp(s(s(s(s(X0)))))
| p(s(s(s(s(X0)))))
| rq(s(s(s(s(s(X0))))))
| ~ rr(s(s(s(s(X0)))))
| ~ q(s(s(s(s(X0)))))
| ~ ap(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_117651]) ).
tcf(c_129245,plain,
! [X0: $i] :
( ~ pr(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ rq(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ qp(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_118162]) ).
tcf(c_129246,plain,
( ~ pr(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ rq(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ qp(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))) ),
inference(instantiation,[status(thm)],[c_129245]) ).
tcf(c_130813,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| aq(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) ),
inference(instantiation,[status(thm)],[c_118414]) ).
tcf(c_130831,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_118396]) ).
tcf(c_130838,plain,
( r(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))) ),
inference(instantiation,[status(thm)],[c_130831]) ).
tcf(c_130853,plain,
( q(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| aq(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))) ),
inference(instantiation,[status(thm)],[c_130813]) ).
tcf(c_131097,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| r(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))) ),
inference(instantiation,[status(thm)],[c_117875]) ).
tcf(c_131102,plain,
( p(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| r(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))) ),
inference(instantiation,[status(thm)],[c_131097]) ).
tcf(c_131112,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ar(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))) ),
inference(instantiation,[status(thm)],[c_117620]) ).
tcf(c_131115,plain,
( r(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ar(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))) ),
inference(instantiation,[status(thm)],[c_131112]) ).
tcf(c_131127,plain,
! [X0: $i] :
( ~ q(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))) ),
inference(instantiation,[status(thm)],[c_118234]) ).
tcf(c_132312,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(s(X0))))))))
| ~ qrp4(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_377]) ).
tcf(c_132314,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(s(X0))))))))
| ~ qrp4(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_375]) ).
tcf(c_132316,plain,
( ar(s(s(s(s(s(s(s(a))))))))
| ~ qrp4(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_132312]) ).
tcf(c_132317,plain,
! [X0: $i] :
( ~ qrp4(s(s(s(s(s(s(s(X0))))))))
| ~ rr(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_117661]) ).
tcf(c_134675,plain,
! [X0: $i] :
( pqr4(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| pqr3(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| pr(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ pr(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_106252]) ).
tcf(c_134676,plain,
( pqr4(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| pqr3(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| pr(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ pr(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))) ),
inference(instantiation,[status(thm)],[c_134675]) ).
tcf(c_134681,plain,
! [X0: $i] :
( aq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ pqr2(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_335]) ).
tcf(c_134682,plain,
! [X0: $i] :
( ~ pqr2(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_333]) ).
tcf(c_135298,plain,
! [X0: $i] :
( pr(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| rq(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| qp(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))) ),
inference(instantiation,[status(thm)],[c_119805]) ).
tcf(c_135299,plain,
( pr(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| rq(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| qp(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))) ),
inference(instantiation,[status(thm)],[c_135298]) ).
tcf(c_139456,plain,
! [X0: $i] :
( rq(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| rpq2(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| rpq1(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ rq(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) ),
inference(instantiation,[status(thm)],[c_118161]) ).
tcf(c_139457,plain,
! [X0: $i] :
( pr(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| rq(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| qp(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_119278]) ).
tcf(c_139459,plain,
( rq(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| rpq2(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| rpq1(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ rq(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))) ),
inference(instantiation,[status(thm)],[c_139456]) ).
tcf(c_139462,plain,
! [X0: $i] :
( rpq4(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| rpq3(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| rq(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ rq(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_118160]) ).
tcf(c_139467,plain,
( rpq4(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| rpq3(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| rq(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ rq(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))) ),
inference(instantiation,[status(thm)],[c_139462]) ).
tcf(c_143896,plain,
! [X0: $i] :
( pp(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| ap(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))) ),
inference(instantiation,[status(thm)],[c_100509]) ).
tcf(c_143897,plain,
( pp(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| ap(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))) ),
inference(instantiation,[status(thm)],[c_143896]) ).
tcf(c_145209,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(X0)))))))
| p(s(s(s(s(s(s(X0)))))))
| q(s(s(s(s(s(s(s(X0))))))))
| ~ q(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_118429]) ).
tcf(c_145238,plain,
! [X0: $i] :
( q(s(s(s(s(X0)))))
| pp(s(s(s(s(X0)))))
| rr(s(s(s(s(s(X0))))))
| ~ rr(s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))))
| ~ p(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_1051]) ).
tcf(c_145239,plain,
! [X0: $i] :
( q(s(s(s(s(X0)))))
| ~ pp(s(s(s(s(X0)))))
| ~ p(s(s(s(s(X0)))))
| ~ q(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_1264]) ).
tcf(c_145246,plain,
! [X0: $i] :
( ~ rpq3(s(s(s(s(X0)))))
| ~ p(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_394]) ).
tcf(c_145259,plain,
! [X0: $i] :
( rr(s(s(s(s(X0)))))
| r(s(s(s(s(X0)))))
| qq(s(s(s(s(X0)))))
| pr(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(X0)))))
| ~ pp(s(s(s(s(X0)))))
| ~ p(s(s(s(s(X0)))))
| ~ aq(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_114694]) ).
tcf(c_145268,plain,
( rr(s(s(s(s(a)))))
| r(s(s(s(s(a)))))
| qq(s(s(s(s(a)))))
| pr(s(s(s(s(s(a))))))
| ~ q(s(s(s(s(a)))))
| ~ pp(s(s(s(s(a)))))
| ~ p(s(s(s(s(a)))))
| ~ aq(s(s(s(s(a))))) ),
inference(instantiation,[status(thm)],[c_145259]) ).
tcf(c_145277,plain,
! [X0: $i] :
( p(s(s(s(X0))))
| ~ q(s(s(s(X0))))
| ~ pp(s(s(s(X0))))
| ~ p(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_93384]) ).
tcf(c_145454,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ pqr4(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_118424]) ).
tcf(c_145477,plain,
( q(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ pqr4(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_145454]) ).
tcf(c_146944,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| r(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) ),
inference(instantiation,[status(thm)],[c_117880]) ).
tcf(c_146945,plain,
( ar(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| r(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))) ),
inference(instantiation,[status(thm)],[c_146944]) ).
tcf(c_146956,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ar(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) ),
inference(instantiation,[status(thm)],[c_117620]) ).
tcf(c_146959,plain,
( r(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ar(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))) ),
inference(instantiation,[status(thm)],[c_146956]) ).
tcf(c_146987,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) ),
inference(instantiation,[status(thm)],[c_119441]) ).
tcf(c_146988,plain,
( r(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))) ),
inference(instantiation,[status(thm)],[c_146987]) ).
tcf(c_147885,plain,
! [X0: $i] :
( aq(s(s(s(s(s(s(s(s(s(X0))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_117638]) ).
tcf(c_147886,plain,
( aq(s(s(s(s(s(s(s(s(s(a))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_147885]) ).
tcf(c_148436,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(X0)))))))))
| ~ qq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ q(s(s(s(s(s(s(s(s(X0)))))))))
| ~ r(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_117642]) ).
tcf(c_148441,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(s(s(X0)))))))))
| ~ qq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ q(s(s(s(s(s(s(s(s(X0)))))))))
| ~ p(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_119436]) ).
tcf(c_149158,plain,
! [X0: $i] :
( pp(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ap(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_98265]) ).
tcf(c_149159,plain,
( pp(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ap(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))) ),
inference(instantiation,[status(thm)],[c_149158]) ).
tcf(c_149786,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) ),
inference(instantiation,[status(thm)],[c_117657]) ).
tcf(c_149787,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| r(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_117880]) ).
tcf(c_149788,plain,
( ar(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| r(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))) ),
inference(instantiation,[status(thm)],[c_149787]) ).
tcf(c_149789,plain,
( p(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))) ),
inference(instantiation,[status(thm)],[c_149786]) ).
tcf(c_149796,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_117654]) ).
tcf(c_149797,plain,
( r(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))) ),
inference(instantiation,[status(thm)],[c_149796]) ).
tcf(c_149805,plain,
! [X0: $i] :
( ~ r(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) ),
inference(instantiation,[status(thm)],[c_119587]) ).
tcf(c_149816,plain,
( ~ r(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))) ),
inference(instantiation,[status(thm)],[c_149805]) ).
tcf(c_149832,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_119441]) ).
tcf(c_149833,plain,
( r(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))) ),
inference(instantiation,[status(thm)],[c_149832]) ).
tcf(c_149841,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_96246]) ).
tcf(c_149849,plain,
( rr(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))) ),
inference(instantiation,[status(thm)],[c_149841]) ).
tcf(c_150435,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ rpq2(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) ),
inference(instantiation,[status(thm)],[c_102822]) ).
tcf(c_150436,plain,
( ap(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ rpq2(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))) ),
inference(instantiation,[status(thm)],[c_150435]) ).
tcf(c_150947,plain,
! [X0: $i] :
( pp(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) ),
inference(instantiation,[status(thm)],[c_120695]) ).
tcf(c_150948,plain,
( pp(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))) ),
inference(instantiation,[status(thm)],[c_150947]) ).
tcf(c_154408,plain,
! [X0: $i] :
( qrp4(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| qrp3(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| qp(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| ~ qp(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) ),
inference(instantiation,[status(thm)],[c_115534]) ).
tcf(c_154409,plain,
( qrp4(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| qrp3(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| qp(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| ~ qp(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))) ),
inference(instantiation,[status(thm)],[c_154408]) ).
tcf(c_161336,plain,
! [X0: $i] :
( aq(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ pqr2(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_134681]) ).
tcf(c_161905,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ qrp1(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_127979]) ).
tcf(c_161906,plain,
( ar(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ qrp1(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_161905]) ).
tcf(c_165275,plain,
! [X0: $i] :
( p(s(s(s(s(X0)))))
| ~ q(s(s(s(s(X0)))))
| ~ pp(s(s(s(s(X0)))))
| ~ p(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_145277]) ).
tcf(c_168295,plain,
! [X0: $i] :
( aq(s(s(s(s(s(s(s(X0))))))))
| ~ pqr2(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_335]) ).
tcf(c_172479,plain,
! [X0: $i] :
( ~ pr(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))))
| ~ rq(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))))
| ~ qp(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_129245]) ).
tcf(c_172480,plain,
( ~ pr(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))))
| ~ rq(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))))
| ~ qp(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_172479]) ).
tcf(c_176029,plain,
! [X0: $i] :
( ~ q(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))) ),
inference(instantiation,[status(thm)],[c_131127]) ).
tcf(c_176030,plain,
( ~ q(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))) ),
inference(instantiation,[status(thm)],[c_176029]) ).
tcf(c_183703,plain,
! [X0: $i] :
( ~ rpq3(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_118072]) ).
tcf(c_183704,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ rpq3(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_118068]) ).
tcf(c_183707,plain,
( ap(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ rpq3(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))) ),
inference(instantiation,[status(thm)],[c_183704]) ).
tcf(c_190703,plain,
! [X0: $i] :
( aq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ pqr2(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_168295]) ).
tcf(c_190704,plain,
( aq(s(s(s(s(s(s(s(s(a)))))))))
| ~ pqr2(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_190703]) ).
tcf(c_192357,plain,
! [X0: $i] :
( ~ pqr3(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_111636]) ).
tcf(c_192359,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ pqr3(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_111628]) ).
tcf(c_192361,plain,
! [X0: $i] :
( ~ pqr3(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_111637]) ).
tcf(c_192362,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ pqr3(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_111630]) ).
tcf(c_192363,plain,
! [X0: $i] :
( aq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ pqr3(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_111627]) ).
tcf(c_192365,plain,
( p(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ pqr3(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_192362]) ).
tcf(c_192369,plain,
( ~ pqr3(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_192357]) ).
tcf(c_193427,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ qrp1(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_161905]) ).
tcf(c_193995,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))))
| rq(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))) ),
inference(instantiation,[status(thm)],[c_128848]) ).
tcf(c_193999,plain,
( r(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))))
| rq(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))) ),
inference(instantiation,[status(thm)],[c_193995]) ).
tcf(c_196795,plain,
! [X0: $i] :
( qrp4(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))))
| qrp3(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))))
| qp(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))))
| ~ qp(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))) ),
inference(instantiation,[status(thm)],[c_154408]) ).
tcf(c_196798,plain,
( qrp4(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))))
| qrp3(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))))
| qp(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))))
| ~ qp(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))) ),
inference(instantiation,[status(thm)],[c_196795]) ).
tcf(c_197911,plain,
! [X0: $i] :
( rpq4(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| rpq3(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| rq(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| ~ rq(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) ),
inference(instantiation,[status(thm)],[c_139462]) ).
tcf(c_197912,plain,
( rpq4(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| rpq3(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| rq(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| ~ rq(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))) ),
inference(instantiation,[status(thm)],[c_197911]) ).
tcf(c_211097,plain,
! [X0: $i] :
( aq(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ pqr3(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_192363]) ).
tcf(c_211098,plain,
( aq(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ pqr3(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))) ),
inference(instantiation,[status(thm)],[c_211097]) ).
tcf(c_213996,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ qrp1(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_193427]) ).
tcf(c_213997,plain,
( ar(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ qrp1(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))) ),
inference(instantiation,[status(thm)],[c_213996]) ).
tcf(c_216237,plain,
! [X0: $i] :
( ~ pr(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ rq(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ qp(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_129245]) ).
tcf(c_216238,plain,
( ~ pr(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ rq(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ qp(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))) ),
inference(instantiation,[status(thm)],[c_216237]) ).
tcf(c_216255,plain,
! [X0: $i] :
( pqr4(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| pqr3(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| pr(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ pr(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_134675]) ).
tcf(c_216256,plain,
( pqr4(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| pqr3(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| pr(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ pr(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))) ),
inference(instantiation,[status(thm)],[c_216255]) ).
tcf(c_219385,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| ~ qrp4(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))) ),
inference(instantiation,[status(thm)],[c_132312]) ).
tcf(c_219402,plain,
! [X0: $i] :
( ~ qrp4(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))) ),
inference(instantiation,[status(thm)],[c_123679]) ).
tcf(c_219405,plain,
( ~ qrp4(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))) ),
inference(instantiation,[status(thm)],[c_219402]) ).
tcf(c_222027,plain,
! [X0: $i] :
( ~ pr(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))))
| ~ rq(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))))
| ~ qp(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))) ),
inference(instantiation,[status(thm)],[c_115572]) ).
tcf(c_222030,plain,
( ~ pr(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))))
| ~ rq(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))))
| ~ qp(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))) ),
inference(instantiation,[status(thm)],[c_222027]) ).
tcf(c_227821,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))))
| ~ qrp4(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))) ),
inference(instantiation,[status(thm)],[c_219385]) ).
tcf(c_227822,plain,
( ar(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))))
| ~ qrp4(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))) ),
inference(instantiation,[status(thm)],[c_227821]) ).
tcf(c_227840,plain,
! [X0: $i] :
( aq(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ pqr1(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_328]) ).
tcf(c_228646,plain,
! [X0: $i] :
( r(s(X0))
| ar(s(X0))
| ~ r(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_521]) ).
tcf(c_229251,plain,
! [X0: $i] :
( qq(s(s(s(X0))))
| aq(s(s(s(X0))))
| ~ qq(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_93581]) ).
tcf(c_229252,plain,
( qq(s(s(s(a))))
| aq(s(s(s(a))))
| ~ qq(s(s(s(s(a))))) ),
inference(instantiation,[status(thm)],[c_229251]) ).
tcf(c_231174,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| r(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_117882]) ).
tcf(c_231175,plain,
( p(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| r(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))) ),
inference(instantiation,[status(thm)],[c_231174]) ).
tcf(c_232707,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| p(s(s(s(s(s(s(s(s(s(X0))))))))))
| q(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_145209]) ).
tcf(c_233829,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| rr(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_128714]) ).
tcf(c_233830,plain,
( r(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| rr(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))) ),
inference(instantiation,[status(thm)],[c_233829]) ).
tcf(c_234017,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| p(s(s(s(s(s(s(s(s(s(X0))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_96249]) ).
tcf(c_234051,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| r(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_96255]) ).
tcf(c_234052,plain,
( rr(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| r(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))) ),
inference(instantiation,[status(thm)],[c_234051]) ).
tcf(c_234951,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| r(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ qp(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_96258]) ).
tcf(c_234952,plain,
( rr(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| r(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ qp(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))) ),
inference(instantiation,[status(thm)],[c_234951]) ).
tcf(c_235385,plain,
! [X0: $i] :
( rq(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| rpq2(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| rpq1(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ rq(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_100937]) ).
tcf(c_235386,plain,
( rq(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| rpq2(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| rpq1(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ rq(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))) ),
inference(instantiation,[status(thm)],[c_235385]) ).
tcf(c_235598,plain,
! [X0: $i] :
( ~ rpq3(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))) ),
inference(instantiation,[status(thm)],[c_183703]) ).
tcf(c_235601,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))) ),
inference(instantiation,[status(thm)],[c_149796]) ).
tcf(c_235611,plain,
( r(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))) ),
inference(instantiation,[status(thm)],[c_235601]) ).
tcf(c_235613,plain,
( ~ rpq3(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))) ),
inference(instantiation,[status(thm)],[c_235598]) ).
tcf(c_239089,plain,
! [X0: $i] :
( ~ rpq3(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_118072]) ).
tcf(c_249572,plain,
! [X0: $i] :
( ~ qrp4(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_132317]) ).
tcf(c_249574,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ qrp4(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_132314]) ).
tcf(c_249581,plain,
( p(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ qrp4(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))) ),
inference(instantiation,[status(thm)],[c_249574]) ).
tcf(c_249582,plain,
( ~ qrp4(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))) ),
inference(instantiation,[status(thm)],[c_249572]) ).
tcf(c_251924,plain,
! [X0: $i] :
( aq(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ pqr3(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_211097]) ).
tcf(c_251926,plain,
( aq(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ pqr3(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))) ),
inference(instantiation,[status(thm)],[c_251924]) ).
tcf(c_255000,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ qrp1(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) ),
inference(instantiation,[status(thm)],[c_213996]) ).
tcf(c_255004,plain,
( ar(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ qrp1(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))) ),
inference(instantiation,[status(thm)],[c_255000]) ).
tcf(c_265960,plain,
! [X0: $i] :
( qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| aq(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_229251]) ).
tcf(c_265961,plain,
( qq(s(s(s(s(s(s(s(s(s(a))))))))))
| aq(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_265960]) ).
tcf(c_269138,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(X0)))))))
| q(s(s(s(s(s(s(X0)))))))
| pp(s(s(s(s(s(s(X0)))))))
| pp(s(s(s(s(s(s(s(X0))))))))
| ~ r(s(s(s(s(s(s(X0)))))))
| ~ ap(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_128080]) ).
tcf(c_269151,plain,
( rr(s(s(s(s(s(s(a)))))))
| q(s(s(s(s(s(s(a)))))))
| pp(s(s(s(s(s(s(a)))))))
| pp(s(s(s(s(s(s(s(a))))))))
| ~ r(s(s(s(s(s(s(a)))))))
| ~ ap(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_269138]) ).
tcf(c_269186,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(X0)))))))
| ~ pp(s(s(s(s(s(s(X0)))))))
| ~ p(s(s(s(s(s(s(X0)))))))
| ~ q(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_145239]) ).
tcf(c_271053,plain,
! [X0: $i] :
( q(s(s(s(s(s(X0))))))
| pp(s(s(s(s(s(X0))))))
| rr(s(s(s(s(s(s(X0)))))))
| ~ rr(s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))))
| ~ p(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_145238]) ).
tcf(c_271076,plain,
( q(s(s(s(s(s(a))))))
| pp(s(s(s(s(s(a))))))
| rr(s(s(s(s(s(s(a)))))))
| ~ rr(s(s(s(s(s(a))))))
| ~ r(s(s(s(s(s(a))))))
| ~ p(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_271053]) ).
tcf(c_271877,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(X0)))))))
| q(s(s(s(s(s(s(X0)))))))
| pp(s(s(s(s(s(s(s(X0))))))))
| ~ r(s(s(s(s(s(s(X0)))))))
| ~ pp(s(s(s(s(s(s(X0)))))))
| ~ p(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_118427]) ).
tcf(c_271878,plain,
( rr(s(s(s(s(s(s(a)))))))
| q(s(s(s(s(s(s(a)))))))
| pp(s(s(s(s(s(s(s(a))))))))
| ~ r(s(s(s(s(s(s(a)))))))
| ~ pp(s(s(s(s(s(s(a)))))))
| ~ p(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_271877]) ).
tcf(c_274261,plain,
! [X0: $i] :
( r(X0)
| ~ qq(X0)
| ~ pp(X0)
| ~ pp(s(X0))
| ~ ap(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1166,c_408,c_319,c_318,c_523,c_522,c_521,c_466,c_464,c_463,c_546,c_856,c_913,c_1096,c_1100,c_1103,c_1166,c_1169,c_7493,c_7496,c_7498,c_7536,c_7535,c_7598,c_7597,c_7595,c_7623,c_7622,c_7635,c_7673,c_7661,c_7660,c_7659,c_7650,c_7643,c_7642,c_7821,c_7820,c_7833,c_8067,c_8251,c_8250,c_8245,c_8403,c_8444,c_8547,c_8546,c_8582,c_8571,c_8605,c_8705,c_8721,c_8718,c_8717,c_8713,c_8897,c_9750,c_9757,c_9766,c_10478,c_10499,c_10522,c_10548,c_10568,c_11212,c_11437,c_11431,c_11455,c_11641,c_11876,c_12204,c_12196,c_12194,c_12181,c_12598,c_12873,c_12870,c_12878,c_12919,c_14004,c_16000,c_16008,c_16022,c_17978,c_18546,c_20961,c_22631,c_27997,c_29604,c_32559,c_32645,c_32863,c_34775,c_34787,c_34979,c_39254,c_39252,c_44267,c_45291,c_46902,c_57056,c_57080,c_57533,c_57530,c_60897,c_60896,c_61152,c_114675,c_117620,c_118442,c_118715,c_127892,c_127979,c_228646,c_229251]) ).
tcf(c_274262,negated_conjecture,
! [X0: $i] :
( r(X0)
| ~ qq(X0)
| ~ pp(X0)
| ~ ap(X0)
| ~ pp(s(X0)) ),
inference(renaming,[status(thm)],[c_274261]) ).
tcf(c_274264,plain,
! [X0: $i] :
( r(X0)
| ~ qq(X0)
| ~ pp(s(X0))
| ~ ap(X0) ),
inference(global_subsumption_just,[status(thm)],[c_274262,c_408,c_319,c_318,c_523,c_521,c_466,c_464,c_856,c_1192,c_1198,c_7493,c_7496,c_7536,c_7535,c_7598,c_7595,c_7623,c_7622,c_7635,c_7673,c_7660,c_7659,c_7643,c_7821,c_7833,c_8250,c_8403,c_8444,c_8547,c_8546,c_8571,c_8605,c_8705,c_8721,c_8897,c_9750,c_9757,c_9766,c_10478,c_11437,c_11431,c_11876,c_12196,c_12194,c_12181,c_12598,c_12873,c_12870,c_12878,c_12919,c_14004,c_16008,c_16022,c_17978,c_20961,c_22631,c_27997,c_29604,c_32559,c_32645,c_32863,c_34775,c_34787,c_34979,c_39252,c_44267,c_45291,c_46902,c_57056,c_57533,c_60897,c_60896,c_61152,c_114675,c_118442,c_118715,c_127979,c_228646,c_229251,c_274262]) ).
tcf(c_274265,negated_conjecture,
! [X0: $i] :
( r(X0)
| ~ qq(X0)
| ~ ap(X0)
| ~ pp(s(X0)) ),
inference(renaming,[status(thm)],[c_274264]) ).
tcf(c_274282,plain,
! [X0: $i] :
( rr(X0)
| r(X0)
| p(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ pp(X0)
| ~ ap(X0) ),
inference(superposition,[status(thm)],[c_963,c_274265]) ).
tcf(c_274299,negated_conjecture,
! [X0: $i] :
( r(X0)
| ~ qq(X0)
| ~ ap(X0)
| ~ pp(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_1166,c_274265]) ).
tcf(c_274316,plain,
! [X0: $i] :
( rr(X0)
| r(X0)
| p(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ pp(X0)
| ~ ap(X0) ),
inference(superposition,[status(thm)],[c_963,c_274299]) ).
tcf(c_283428,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| p(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_232707]) ).
tcf(c_283429,plain,
( rr(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| p(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_283428]) ).
tcf(c_284941,plain,
! [X0: $i] :
( rr(X0)
| r(X0)
| p(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ ap(X0) ),
inference(global_subsumption_just,[status(thm)],[c_274282,c_949,c_274265,c_274282]) ).
tcf(c_284957,plain,
! [X0: $i] :
( rr(s(X0))
| r(s(X0))
| p(s(X0))
| ~ ar(X0)
| ~ qq(s(X0))
| ~ q(s(X0)) ),
inference(superposition,[status(thm)],[c_410,c_284941]) ).
tcf(c_284979,plain,
! [X0: $i] :
( rr(X0)
| r(X0)
| p(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ ap(X0) ),
inference(global_subsumption_just,[status(thm)],[c_274316,c_284941]) ).
tcf(c_284994,plain,
! [X0: $i] :
( rr(s(X0))
| r(s(X0))
| p(s(X0))
| ~ ar(X0)
| ~ qq(s(X0))
| ~ q(s(X0)) ),
inference(superposition,[status(thm)],[c_410,c_284979]) ).
tcf(c_289970,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| p(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_234017]) ).
tcf(c_289971,plain,
( rr(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| p(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_289970]) ).
tcf(c_292142,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_97097]) ).
tcf(c_292143,plain,
( ap(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))) ),
inference(instantiation,[status(thm)],[c_292142]) ).
tcf(c_292236,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))) ),
inference(instantiation,[status(thm)],[c_148436]) ).
tcf(c_292240,plain,
( r(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))) ),
inference(instantiation,[status(thm)],[c_292236]) ).
tcf(c_292266,plain,
! [X0: $i] :
( ~ pqr3(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) ),
inference(instantiation,[status(thm)],[c_192361]) ).
tcf(c_292277,plain,
( ~ pqr3(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))) ),
inference(instantiation,[status(thm)],[c_292266]) ).
tcf(c_294827,plain,
! [X0: $i] :
( rr(s(X0))
| r(s(X0))
| p(s(X0))
| ~ ar(X0)
| ~ qq(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_284957,c_320,c_319,c_580,c_464,c_847,c_284957]) ).
tcf(c_294847,plain,
! [X0: $i] :
( aq(X0)
| rr(s(X0))
| r(s(X0))
| p(s(X0))
| ~ qq(X0)
| ~ ar(X0) ),
inference(superposition,[status(thm)],[c_466,c_294827]) ).
tcf(c_294890,plain,
! [X0: $i] :
( rr(s(X0))
| r(s(X0))
| p(s(X0))
| ~ ar(X0)
| ~ qq(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_284994,c_294827]) ).
tcf(c_294910,plain,
! [X0: $i] :
( aq(X0)
| rr(s(X0))
| r(s(X0))
| p(s(X0))
| ~ qq(X0)
| ~ ar(X0) ),
inference(superposition,[status(thm)],[c_466,c_294890]) ).
tcf(c_296424,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) ),
inference(instantiation,[status(thm)],[c_148441]) ).
tcf(c_296427,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) ),
inference(instantiation,[status(thm)],[c_148436]) ).
tcf(c_296431,plain,
( r(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))) ),
inference(instantiation,[status(thm)],[c_296427]) ).
tcf(c_296432,plain,
( p(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))) ),
inference(instantiation,[status(thm)],[c_296424]) ).
tcf(c_296434,plain,
! [X0: $i] :
( ~ rpq3(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_239089]) ).
tcf(c_296451,plain,
( ~ rpq3(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))) ),
inference(instantiation,[status(thm)],[c_296434]) ).
tcf(c_296457,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) ),
inference(instantiation,[status(thm)],[c_98287]) ).
tcf(c_296472,plain,
( p(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))) ),
inference(instantiation,[status(thm)],[c_296457]) ).
tcf(c_304845,plain,
! [X0: $i] :
( aq(X0)
| rr(s(X0))
| r(s(X0))
| p(s(X0))
| ~ qq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_294847,c_321,c_524,c_522,c_527,c_529,c_536,c_548,c_549,c_577,c_949,c_274265,c_274282,c_294847]) ).
tcf(c_304870,plain,
! [X0: $i] :
( rr(X0)
| ar(X0)
| aq(X0)
| r(s(X0))
| p(s(X0))
| ~ qq(X0) ),
inference(superposition,[status(thm)],[c_304845,c_523]) ).
tcf(c_304971,plain,
! [X0: $i] :
( aq(X0)
| rr(s(X0))
| r(s(X0))
| p(s(X0))
| ~ qq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_294910,c_304845]) ).
tcf(c_304995,plain,
! [X0: $i] :
( rr(X0)
| ar(X0)
| aq(X0)
| r(s(X0))
| p(s(X0))
| ~ qq(X0) ),
inference(superposition,[status(thm)],[c_304971,c_523]) ).
tcf(c_316903,plain,
! [X0: $i] :
( aq(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_120687]) ).
tcf(c_316904,plain,
( aq(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))) ),
inference(instantiation,[status(thm)],[c_316903]) ).
tcf(c_318506,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| ap(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))) ),
inference(instantiation,[status(thm)],[c_102514]) ).
tcf(c_318507,plain,
( p(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| ap(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))) ),
inference(instantiation,[status(thm)],[c_318506]) ).
tcf(c_322855,plain,
! [X0: $i] :
( ~ qrp3(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))) ),
inference(instantiation,[status(thm)],[c_117662]) ).
tcf(c_322856,plain,
( ~ qrp3(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))) ),
inference(instantiation,[status(thm)],[c_322855]) ).
tcf(c_325993,plain,
! [X0: $i] :
( rr(X0)
| ar(X0)
| aq(X0)
| p(s(X0))
| ~ qq(X0)
| ~ qrp1(s(X0)) ),
inference(superposition,[status(thm)],[c_304995,c_352]) ).
tcf(c_326005,plain,
! [X0: $i] :
( rr(X0)
| r(X0)
| ar(X0)
| aq(X0)
| p(s(X0))
| ~ qq(X0) ),
inference(superposition,[status(thm)],[c_304995,c_521]) ).
tcf(c_326094,plain,
! [X0: $i] :
( rr(X0)
| r(X0)
| ar(X0)
| aq(X0)
| p(s(X0))
| ~ qq(X0) ),
inference(superposition,[status(thm)],[c_304870,c_521]) ).
tcf(c_354494,plain,
! [X0: $i] :
( ~ rpq3(s(s(s(s(s(s(X0)))))))
| ~ p(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_145246]) ).
tcf(c_354541,plain,
! [X0: $i] :
( rr(X0)
| r(X0)
| p(X0)
| ar(X0)
| aq(X0)
| ~ qq(X0)
| ~ q(X0) ),
inference(superposition,[status(thm)],[c_326094,c_1036]) ).
tcf(c_354596,plain,
! [X0: $i] :
( rr(X0)
| r(X0)
| p(X0)
| ar(X0)
| aq(X0)
| ~ qq(X0)
| ~ q(X0) ),
inference(superposition,[status(thm)],[c_326005,c_1036]) ).
tcf(c_357030,plain,
! [X0: $i] :
( pp(s(X0))
| ~ qrp3(s(X0)) ),
inference(instantiation,[status(thm)],[c_369]) ).
tcf(c_357037,plain,
! [X0: $i] :
( r(s(X0))
| pp(s(X0))
| ~ q(s(X0))
| ~ r(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1056]) ).
tcf(c_357039,plain,
! [X0: $i] :
( r(s(X0))
| pp(s(X0))
| q(s(s(X0)))
| ~ q(s(X0)) ),
inference(instantiation,[status(thm)],[c_1075]) ).
tcf(c_357042,plain,
! [X0: $i] :
( r(s(X0))
| pp(s(X0))
| p(s(X0))
| rr(s(s(X0)))
| ~ rr(s(X0))
| ~ q(s(X0)) ),
inference(instantiation,[status(thm)],[c_990]) ).
tcf(c_357045,plain,
! [X0: $i] :
( r(s(X0))
| pp(s(X0))
| qq(s(s(X0)))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0)) ),
inference(instantiation,[status(thm)],[c_1072]) ).
tcf(c_357057,plain,
! [X0: $i] :
( r(s(X0))
| qq(s(X0))
| pp(s(X0))
| q(s(s(X0)))
| ~ rr(s(X0))
| ~ aq(s(X0)) ),
inference(instantiation,[status(thm)],[c_1136]) ).
tcf(c_357058,plain,
( r(s(a))
| qq(s(a))
| pp(s(a))
| q(s(s(a)))
| ~ rr(s(a))
| ~ aq(s(a)) ),
inference(instantiation,[status(thm)],[c_357057]) ).
tcf(c_357068,plain,
! [X0: $i] :
( r(s(X0))
| qq(s(X0))
| q(s(X0))
| pp(s(X0))
| ~ rr(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| ~ pr(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_456]) ).
tcf(c_357084,plain,
! [X0: $i] :
( p(s(X0))
| ap(s(X0))
| ~ p(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_579]) ).
tcf(c_357086,plain,
! [X0: $i] :
( ap(s(X0))
| ~ rpq4(s(X0)) ),
inference(instantiation,[status(thm)],[c_405]) ).
tcf(c_357087,plain,
! [X0: $i] :
( ap(s(X0))
| ~ rpq3(s(X0)) ),
inference(instantiation,[status(thm)],[c_398]) ).
tcf(c_357088,plain,
! [X0: $i] :
( ap(s(X0))
| ~ rpq2(s(X0)) ),
inference(instantiation,[status(thm)],[c_391]) ).
tcf(c_357089,plain,
! [X0: $i] :
( ap(s(X0))
| ~ rpq1(s(X0)) ),
inference(instantiation,[status(thm)],[c_384]) ).
tcf(c_357136,plain,
! [X0: $i] :
( rr(s(s(X0)))
| qq(s(s(X0)))
| ~ pp(s(s(X0)))
| ~ p(s(s(X0)))
| ~ ar(s(s(X0)))
| ~ r(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1217]) ).
tcf(c_357150,plain,
! [X0: $i] :
( qq(s(s(X0)))
| ~ rpq4(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_404]) ).
tcf(c_357504,plain,
! [X0: $i] :
( q(s(s(s(s(s(X0))))))
| aq(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_463]) ).
tcf(c_357724,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(X0)))))))
| ~ pqr3(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_341]) ).
tcf(c_357729,plain,
! [X0: $i] :
( ar(s(s(s(s(s(X0))))))
| rr(s(s(s(s(s(s(X0)))))))
| ~ rr(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_524]) ).
tcf(c_358354,plain,
! [X0: $i] :
( ~ qrp3(s(s(s(s(s(s(s(X0))))))))
| ~ p(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_368]) ).
tcf(c_358368,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(X0)))))))
| ap(s(s(s(s(s(s(X0)))))))
| ~ p(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_357084]) ).
tcf(c_358434,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(X0)))))))
| rr(s(s(s(s(s(s(s(X0))))))))
| ~ rr(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_357729]) ).
tcf(c_358933,plain,
! [X0: $i] :
( ~ rpq2(s(s(s(s(s(s(s(X0))))))))
| ~ q(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_389]) ).
tcf(c_358935,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(s(X0))))))))
| ~ rpq2(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_387]) ).
tcf(c_358939,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(s(X0))))))))
| ~ rpq2(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_357088]) ).
tcf(c_358940,plain,
( ap(s(s(s(s(s(s(s(a))))))))
| ~ rpq2(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_358939]) ).
tcf(c_358946,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(X0)))))))
| ~ rpq3(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_357087]) ).
tcf(c_359925,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(s(s(s(X0))))))))))
| rr(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_358434]) ).
tcf(c_360239,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ rpq2(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_385]) ).
tcf(c_360242,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ pqr4(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_347]) ).
tcf(c_360248,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(X0))))))))))
| pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| p(s(s(s(s(s(s(s(s(s(X0))))))))))
| rr(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_357042]) ).
tcf(c_360476,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(s(X0))))))))
| ~ rpq3(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_358946]) ).
tcf(c_360479,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(s(X0))))))))
| ap(s(s(s(s(s(s(s(X0))))))))
| ~ p(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_358368]) ).
tcf(c_360481,plain,
( ap(s(s(s(s(s(s(s(a))))))))
| ~ rpq3(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_360476]) ).
tcf(c_362934,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(s(s(X0)))))))))
| ~ rpq2(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_358939]) ).
tcf(c_362938,plain,
( ap(s(s(s(s(s(s(s(s(a)))))))))
| ~ rpq2(s(s(s(s(s(s(s(s(a))))))))) ),
inference(instantiation,[status(thm)],[c_362934]) ).
tcf(c_363157,plain,
! [X0: $i] :
( ~ rpq2(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_358933]) ).
tcf(c_363158,plain,
( ~ rpq2(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))) ),
inference(instantiation,[status(thm)],[c_363157]) ).
tcf(c_363652,plain,
! [X0: $i] :
( rpq4(s(s(s(s(s(X0))))))
| rpq3(s(s(s(s(s(X0))))))
| rq(s(s(s(s(s(s(X0)))))))
| ~ rq(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_880]) ).
tcf(c_364057,plain,
! [X0: $i] :
( q(s(s(X0)))
| ~ rr(s(s(X0)))
| ~ r(s(s(X0)))
| ~ q(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1256]) ).
tcf(c_364079,plain,
! [X0: $i] :
( q(s(s(X0)))
| ~ pqr4(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_345]) ).
tcf(c_364082,plain,
( q(s(s(a)))
| ~ pqr4(s(s(a))) ),
inference(instantiation,[status(thm)],[c_364079]) ).
tcf(c_364091,plain,
! [X0: $i] :
( r(s(s(X0)))
| qq(s(s(X0)))
| q(s(s(X0)))
| pp(s(s(X0)))
| ~ rr(s(s(X0)))
| ~ p(s(s(X0)))
| ~ aq(s(s(X0)))
| ~ pr(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_357068]) ).
tcf(c_364102,plain,
! [X0: $i] :
( p(s(X0))
| q(s(s(X0)))
| ~ qq(s(X0))
| ~ q(s(X0)) ),
inference(instantiation,[status(thm)],[c_1143]) ).
tcf(c_366010,plain,
! [X0: $i] :
( q(s(s(s(s(X0)))))
| ~ rr(s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))))
| ~ q(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_364057]) ).
tcf(c_366011,plain,
( q(s(s(s(s(a)))))
| ~ rr(s(s(s(s(a)))))
| ~ r(s(s(s(s(a)))))
| ~ q(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_366010]) ).
tcf(c_366823,plain,
! [X0: $i] :
( rr(s(s(s(X0))))
| ~ rpq2(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_386]) ).
tcf(c_366825,plain,
! [X0: $i] :
( rr(s(s(s(X0))))
| ~ pqr4(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_348]) ).
tcf(c_366842,plain,
! [X0: $i] :
( rr(s(s(s(X0))))
| qq(s(s(s(X0))))
| ~ pp(s(s(s(X0))))
| ~ p(s(s(s(X0))))
| ~ ar(s(s(s(X0))))
| ~ r(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_357136]) ).
tcf(c_367615,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(X0))))))))
| qq(s(s(s(s(s(s(s(X0))))))))
| q(s(s(s(s(s(s(s(X0))))))))
| pp(s(s(s(s(s(s(s(X0))))))))
| ~ rr(s(s(s(s(s(s(s(X0))))))))
| ~ p(s(s(s(s(s(s(s(X0))))))))
| ~ aq(s(s(s(s(s(s(s(X0))))))))
| ~ pr(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_364091]) ).
tcf(c_367758,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ap(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_360479]) ).
tcf(c_367759,plain,
( p(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ap(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))) ),
inference(instantiation,[status(thm)],[c_367758]) ).
tcf(c_368272,plain,
! [X0: $i] :
( rpq4(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| rpq3(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| rq(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ rq(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_363652]) ).
tcf(c_368385,plain,
! [X0: $i] :
( ap(s(s(s(s(X0)))))
| ~ rpq3(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_357087]) ).
tcf(c_368386,plain,
( ap(s(s(s(s(a)))))
| ~ rpq3(s(s(s(s(a))))) ),
inference(instantiation,[status(thm)],[c_368385]) ).
tcf(c_369010,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ rpq4(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_401]) ).
tcf(c_369015,plain,
( p(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ rpq4(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))) ),
inference(instantiation,[status(thm)],[c_369010]) ).
tcf(c_369017,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ rpq4(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_357086]) ).
tcf(c_369030,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ rpq1(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_357089]) ).
tcf(c_369031,plain,
( ap(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ rpq1(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))) ),
inference(instantiation,[status(thm)],[c_369030]) ).
tcf(c_369094,plain,
! [X0: $i] :
( rr(s(s(s(s(s(X0))))))
| qq(s(s(s(s(s(X0))))))
| ~ pp(s(s(s(s(s(X0))))))
| ~ p(s(s(s(s(s(X0))))))
| ~ ar(s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_366842]) ).
tcf(c_369095,plain,
( rr(s(s(s(s(s(a))))))
| qq(s(s(s(s(s(a))))))
| ~ pp(s(s(s(s(s(a))))))
| ~ p(s(s(s(s(s(a))))))
| ~ ar(s(s(s(s(s(a))))))
| ~ r(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_369094]) ).
tcf(c_372364,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ rpq1(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_369030]) ).
tcf(c_372441,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ rpq4(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) ),
inference(instantiation,[status(thm)],[c_369017]) ).
tcf(c_372444,plain,
( ap(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ rpq4(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))) ),
inference(instantiation,[status(thm)],[c_372441]) ).
tcf(c_373223,plain,
! [X0: $i] :
( aq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ pqr4(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_349]) ).
tcf(c_373224,plain,
! [X0: $i] :
( ~ pqr4(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_346]) ).
tcf(c_373227,plain,
( ~ pqr4(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_373224]) ).
tcf(c_373229,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ pqr4(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_364079]) ).
tcf(c_373230,plain,
( q(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ pqr4(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_373229]) ).
tcf(c_373231,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ pqr4(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_366825]) ).
tcf(c_373236,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ pqr4(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_360242]) ).
tcf(c_373237,plain,
( r(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ pqr4(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_373236]) ).
tcf(c_373292,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ rpq1(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) ),
inference(instantiation,[status(thm)],[c_372364]) ).
tcf(c_373293,plain,
( ap(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ rpq1(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))) ),
inference(instantiation,[status(thm)],[c_373292]) ).
tcf(c_373650,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| rr(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))) ),
inference(instantiation,[status(thm)],[c_360248]) ).
tcf(c_373660,plain,
( r(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| rr(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))) ),
inference(instantiation,[status(thm)],[c_373650]) ).
tcf(c_373819,plain,
! [X0: $i] :
( aq(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ pqr4(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_373223]) ).
tcf(c_373820,plain,
( aq(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ pqr4(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))) ),
inference(instantiation,[status(thm)],[c_373819]) ).
tcf(c_375573,plain,
! [X0: $i] :
( aq(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ pqr4(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_373819]) ).
tcf(c_375574,plain,
( aq(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ pqr4(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))) ),
inference(instantiation,[status(thm)],[c_375573]) ).
tcf(c_375575,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ pqr4(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_373236]) ).
tcf(c_376372,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ qrp3(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_370]) ).
tcf(c_376379,plain,
( ar(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ qrp3(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))) ),
inference(instantiation,[status(thm)],[c_376372]) ).
tcf(c_383130,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ qrp2(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_363]) ).
tcf(c_383135,plain,
( ar(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ qrp2(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))) ),
inference(instantiation,[status(thm)],[c_383130]) ).
tcf(c_383148,plain,
! [X0: $i] :
( ~ qrp3(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_367]) ).
tcf(c_383152,plain,
( ~ qrp3(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))) ),
inference(instantiation,[status(thm)],[c_383148]) ).
tcf(c_383154,plain,
! [X0: $i] :
( pp(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ qrp3(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_357030]) ).
tcf(c_383158,plain,
! [X0: $i] :
( ~ qrp3(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_358354]) ).
tcf(c_383159,plain,
( ~ qrp3(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))) ),
inference(instantiation,[status(thm)],[c_383158]) ).
tcf(c_387131,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ qrp3(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_370]) ).
tcf(c_387138,plain,
( ar(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ qrp3(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_387131]) ).
tcf(c_387655,plain,
! [X0: $i] :
( p(s(s(s(s(X0)))))
| ~ rr(s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))))
| ~ p(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_1211]) ).
tcf(c_387661,plain,
( p(s(s(s(s(a)))))
| ~ rr(s(s(s(s(a)))))
| ~ r(s(s(s(s(a)))))
| ~ p(s(s(s(s(s(a)))))) ),
inference(instantiation,[status(thm)],[c_387655]) ).
tcf(c_388731,plain,
! [X0: $i] :
( aq(s(s(s(s(X0)))))
| ~ pqr2(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_335]) ).
tcf(c_391902,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(X0)))))))
| ~ pp(s(s(s(s(s(s(X0)))))))
| ~ p(s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_1230]) ).
tcf(c_391917,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(X0)))))))
| ~ pqr4(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_347]) ).
tcf(c_392193,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ qrp2(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) ),
inference(instantiation,[status(thm)],[c_383130]) ).
tcf(c_392194,plain,
( ar(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ qrp2(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))) ),
inference(instantiation,[status(thm)],[c_392193]) ).
tcf(c_392566,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| rr(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_359925]) ).
tcf(c_393350,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ rpq2(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_358935]) ).
tcf(c_393356,plain,
( p(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ rpq2(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))) ),
inference(instantiation,[status(thm)],[c_393350]) ).
tcf(c_393362,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ rpq2(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_360239]) ).
tcf(c_393363,plain,
( r(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ rpq2(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))) ),
inference(instantiation,[status(thm)],[c_393362]) ).
tcf(c_393560,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ pqr4(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) ),
inference(instantiation,[status(thm)],[c_373231]) ).
tcf(c_393564,plain,
( rr(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ pqr4(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))) ),
inference(instantiation,[status(thm)],[c_393560]) ).
tcf(c_393565,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ pqr4(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) ),
inference(instantiation,[status(thm)],[c_375575]) ).
tcf(c_393566,plain,
! [X0: $i] :
( aq(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ pqr4(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) ),
inference(instantiation,[status(thm)],[c_375573]) ).
tcf(c_393568,plain,
( r(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ pqr4(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))) ),
inference(instantiation,[status(thm)],[c_393565]) ).
tcf(c_393989,plain,
! [X0: $i] :
( pp(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ qrp3(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) ),
inference(instantiation,[status(thm)],[c_383154]) ).
tcf(c_393990,plain,
( pp(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ qrp3(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))) ),
inference(instantiation,[status(thm)],[c_393989]) ).
tcf(c_398227,plain,
! [X0: $i] :
( aq(s(s(s(s(s(X0))))))
| ~ pqr2(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_388731]) ).
tcf(c_398517,plain,
! [X0: $i] :
( r(s(X0))
| ~ pp(s(X0))
| ~ p(s(X0))
| ~ r(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1230]) ).
tcf(c_398564,plain,
! [X0: $i] :
( rr(s(X0))
| ar(s(X0))
| ~ rr(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_523]) ).
tcf(c_398565,plain,
( rr(s(a))
| ar(s(a))
| ~ rr(s(s(a))) ),
inference(instantiation,[status(thm)],[c_398564]) ).
tcf(c_398623,plain,
! [X0: $i] :
( rr(s(X0))
| r(s(X0))
| q(s(X0))
| qq(s(s(X0)))
| ~ qq(s(X0))
| ~ p(s(X0)) ),
inference(instantiation,[status(thm)],[c_1014]) ).
tcf(c_398792,plain,
! [X0: $i] :
( r(s(X0))
| q(s(X0))
| ~ rr(s(X0))
| ~ qq(s(X0))
| ~ aq(s(X0))
| ~ qq(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1147]) ).
tcf(c_398793,plain,
( r(s(a))
| q(s(a))
| ~ rr(s(a))
| ~ qq(s(a))
| ~ aq(s(a))
| ~ qq(s(s(a))) ),
inference(instantiation,[status(thm)],[c_398792]) ).
tcf(c_402314,plain,
! [X0: $i] :
( r(s(X0))
| q(s(s(X0)))
| ~ qq(s(X0))
| ~ q(s(X0)) ),
inference(instantiation,[status(thm)],[c_1152]) ).
tcf(c_402315,plain,
( r(s(a))
| q(s(s(a)))
| ~ qq(s(a))
| ~ q(s(a)) ),
inference(instantiation,[status(thm)],[c_402314]) ).
tcf(c_404426,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ rpq3(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_368385]) ).
tcf(c_404444,plain,
! [X0: $i] :
( rpq4(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| rpq3(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| rq(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| ~ rq(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) ),
inference(instantiation,[status(thm)],[c_368272]) ).
tcf(c_411557,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ rpq2(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_366823]) ).
tcf(c_422514,plain,
! [X0: $i] :
( aq(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| ~ pqr4(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))) ),
inference(instantiation,[status(thm)],[c_393566]) ).
tcf(c_422515,plain,
( aq(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| ~ pqr4(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))) ),
inference(instantiation,[status(thm)],[c_422514]) ).
tcf(c_432746,plain,
! [X0: $i] :
( r(s(s(s(s(s(X0))))))
| ~ pp(s(s(s(s(s(X0))))))
| ~ p(s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_398517]) ).
tcf(c_432747,plain,
( r(s(s(s(s(s(a))))))
| ~ pp(s(s(s(s(s(a))))))
| ~ p(s(s(s(s(s(a))))))
| ~ r(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_432746]) ).
tcf(c_434798,plain,
! [X0: $i] :
( aq(s(s(s(s(s(s(X0)))))))
| ~ pqr3(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_342]) ).
tcf(c_434808,plain,
( aq(s(s(s(s(s(s(a)))))))
| ~ pqr3(s(s(s(s(s(s(a))))))) ),
inference(instantiation,[status(thm)],[c_434798]) ).
tcf(c_434909,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))))
| ~ qrp3(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))) ),
inference(instantiation,[status(thm)],[c_376372]) ).
tcf(c_434910,plain,
( ar(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))))
| ~ qrp3(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))) ),
inference(instantiation,[status(thm)],[c_434909]) ).
tcf(c_435353,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| ~ rpq3(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) ),
inference(instantiation,[status(thm)],[c_404426]) ).
tcf(c_435354,plain,
( ap(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| ~ rpq3(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))) ),
inference(instantiation,[status(thm)],[c_435353]) ).
tcf(c_449733,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))))
| ~ pqr4(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))) ),
inference(instantiation,[status(thm)],[c_391917]) ).
tcf(c_449741,plain,
( r(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))))
| ~ pqr4(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))) ),
inference(instantiation,[status(thm)],[c_449733]) ).
tcf(c_450939,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) ),
inference(instantiation,[status(thm)],[c_391902]) ).
tcf(c_451293,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ rpq2(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_411557]) ).
tcf(c_451294,plain,
( rr(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ rpq2(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))) ),
inference(instantiation,[status(thm)],[c_451293]) ).
tcf(c_458535,plain,
! [X0: $i] :
( ar(s(s(X0)))
| r(s(s(s(X0))))
| ~ r(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_522]) ).
tcf(c_458605,plain,
! [X0: $i] :
( p(s(X0))
| ~ r(s(X0))
| ~ q(s(X0))
| ~ p(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_915]) ).
tcf(c_458840,plain,
! [X0: $i] :
( r(s(s(s(X0))))
| pp(s(s(s(X0))))
| ~ q(s(s(s(X0))))
| ~ r(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_357037]) ).
tcf(c_459359,plain,
! [X0: $i] :
( qrp4(s(s(s(s(X0)))))
| qrp3(s(s(s(s(X0)))))
| qp(s(s(s(s(s(X0))))))
| ~ qp(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_894]) ).
tcf(c_459360,plain,
( qrp4(s(s(s(s(a)))))
| qrp3(s(s(s(s(a)))))
| qp(s(s(s(s(s(a))))))
| ~ qp(s(s(s(s(a))))) ),
inference(instantiation,[status(thm)],[c_459359]) ).
tcf(c_461321,plain,
! [X0: $i] :
( ~ rpq4(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_402]) ).
tcf(c_461322,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ rpq4(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_401]) ).
tcf(c_461327,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ rpq4(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_357086]) ).
tcf(c_461330,plain,
! [X0: $i] :
( qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ rpq4(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_357150]) ).
tcf(c_461331,plain,
( qq(s(s(s(s(s(s(s(s(s(a))))))))))
| ~ rpq4(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_461330]) ).
tcf(c_462543,plain,
! [X0: $i] :
( aq(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ pqr2(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_398227]) ).
tcf(c_483516,plain,
! [X0: $i] :
( aq(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))))
| ~ pqr3(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))) ),
inference(instantiation,[status(thm)],[c_434798]) ).
tcf(c_483517,plain,
( aq(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))))
| ~ pqr3(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))) ),
inference(instantiation,[status(thm)],[c_483516]) ).
tcf(c_500319,plain,
! [X0: $i] :
( ar(s(s(s(X0))))
| r(s(s(s(s(X0)))))
| ~ r(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_458535]) ).
tcf(c_500939,plain,
! [X0: $i] :
( ar(s(s(s(s(X0)))))
| ~ qrp3(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_370]) ).
tcf(c_500946,plain,
( ar(s(s(s(s(a)))))
| ~ qrp3(s(s(s(s(a))))) ),
inference(instantiation,[status(thm)],[c_500939]) ).
tcf(c_500963,plain,
! [X0: $i] :
( ~ rpq1(s(s(s(X0))))
| ~ p(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_380]) ).
tcf(c_500966,plain,
! [X0: $i] :
( ~ rpq1(s(s(s(X0))))
| ~ pp(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_381]) ).
tcf(c_501780,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ rpq4(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_461327]) ).
tcf(c_501781,plain,
( ap(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| ~ rpq4(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_501780]) ).
tcf(c_504846,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))) ),
inference(instantiation,[status(thm)],[c_450939]) ).
tcf(c_504847,plain,
( r(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))) ),
inference(instantiation,[status(thm)],[c_504846]) ).
tcf(c_507686,plain,
! [X0: $i] :
( rpq4(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| rpq3(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| rq(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))))
| ~ rq(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))) ),
inference(instantiation,[status(thm)],[c_404444]) ).
tcf(c_507687,plain,
( rpq4(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| rpq3(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| rq(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))))
| ~ rq(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))) ),
inference(instantiation,[status(thm)],[c_507686]) ).
tcf(c_518301,plain,
! [X0: $i] :
( r(s(s(s(s(s(s(s(s(X0)))))))))
| pp(s(s(s(s(s(s(s(s(X0)))))))))
| ~ q(s(s(s(s(s(s(s(s(X0)))))))))
| ~ r(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_458840]) ).
tcf(c_518313,plain,
( r(s(s(s(s(s(s(s(s(a)))))))))
| pp(s(s(s(s(s(s(s(s(a)))))))))
| ~ q(s(s(s(s(s(s(s(s(a)))))))))
| ~ r(s(s(s(s(s(s(s(s(s(a)))))))))) ),
inference(instantiation,[status(thm)],[c_518301]) ).
tcf(c_524680,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(s(X0))))))))
| ~ qrp1(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_356]) ).
tcf(c_529754,plain,
! [X0: $i] :
( p(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| ~ rpq4(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))) ),
inference(instantiation,[status(thm)],[c_461322]) ).
tcf(c_529764,plain,
( p(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| ~ rpq4(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))) ),
inference(instantiation,[status(thm)],[c_529754]) ).
tcf(c_546573,plain,
! [X0: $i] :
( rr(s(s(s(s(s(s(s(X0))))))))
| ~ pqr3(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_357724]) ).
tcf(c_546581,plain,
( rr(s(s(s(s(s(s(s(a))))))))
| ~ pqr3(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_546573]) ).
tcf(c_548742,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))
| rr(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) ),
inference(instantiation,[status(thm)],[c_392566]) ).
tcf(c_548743,plain,
( ar(s(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))))
| rr(s(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))) ),
inference(instantiation,[status(thm)],[c_548742]) ).
tcf(c_579767,plain,
! [X0: $i] :
( q(s(s(s(s(s(s(X0)))))))
| aq(s(s(s(s(s(s(X0)))))))
| ~ q(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_357504]) ).
tcf(c_579769,plain,
( q(s(s(s(s(s(s(a)))))))
| aq(s(s(s(s(s(s(a)))))))
| ~ q(s(s(s(s(s(s(s(a)))))))) ),
inference(instantiation,[status(thm)],[c_579767]) ).
tcf(c_583805,plain,
! [X0: $i] :
( ar(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| r(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_500319]) ).
tcf(c_583810,plain,
( ar(s(s(s(s(s(s(s(s(s(s(a)))))))))))
| r(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(a))))))))))) ),
inference(instantiation,[status(thm)],[c_583805]) ).
tcf(c_607889,plain,
! [X0: $i] :
( rr(X0)
| r(X0)
| ~ q(X0)
| ~ qq(X0)
| aq(X0)
| ar(X0) ),
inference(global_subsumption_just,[status(thm)],[c_354541,c_408,c_321,c_524,c_522,c_521,c_466,c_464,c_527,c_529,c_536,c_548,c_549,c_577,c_949,c_7493,c_7496,c_7589,c_7598,c_7597,c_7596,c_7623,c_7622,c_7620,c_7635,c_7673,c_7821,c_7833,c_8004,c_8059,c_8041,c_8245,c_8444,c_8568,c_8604,c_8889,c_8888,c_9750,c_9757,c_9754,c_9766,c_10477,c_10512,c_10522,c_10549,c_10548,c_11184,c_11433,c_11425,c_11641,c_11640,c_12202,c_12189,c_12186,c_12253,c_12598,c_12873,c_12870,c_12878,c_15382,c_16008,c_16006,c_16022,c_17196,c_17194,c_17184,c_17181,c_17165,c_17324,c_17700,c_17922,c_17921,c_17976,c_18462,c_18486,c_18475,c_18654,c_18953,c_18956,c_18985,c_19008,c_20846,c_21755,c_23011,c_24401,c_26509,c_26508,c_26704,c_27223,c_27231,c_27228,c_27896,c_29273,c_31533,c_31528,c_31575,c_31564,c_32645,c_33053,c_33045,c_33097,c_33405,c_33403,c_33415,c_33696,c_35161,c_35217,c_35215,c_35214,c_35213,c_37554,c_38571,c_38601,c_38616,c_38615,c_39532,c_39792,c_41002,c_41107,c_42086,c_42085,c_42084,c_43258,c_43398,c_43394,c_43379,c_45283,c_45287,c_48438,c_48456,c_48683,c_48686,c_51044,c_51282,c_52658,c_52661,c_53978,c_53981,c_57056,c_57330,c_57533,c_60399,c_60685,c_60688,c_62436,c_62614,c_63093,c_63078,c_64294,c_65709,c_65706,c_65725,c_72181,c_81069,c_81218,c_82902,c_86845,c_86910,c_86899,c_88292,c_91891,c_92313,c_94523,c_96218,c_100126,c_100937,c_102747,c_102822,c_106253,c_106268,c_111498,c_111627,c_118068,c_118247,c_118244,c_118402,c_119536,c_128009,c_128144,c_134675,c_134682,c_139457,c_139462,c_147885,c_161336,c_165275,c_183704,c_190703,c_192359,c_211097,c_216237,c_227840,c_228646,c_229251,c_235385,c_274265,c_274282,c_294847,c_354494,c_357039,c_357045,c_360476,c_368385,c_369030,c_373819,c_451293,c_461321,c_462543,c_501780,c_583805]) ).
tcf(c_607890,plain,
! [X0: $i] :
( rr(X0)
| r(X0)
| ar(X0)
| aq(X0)
| ~ qq(X0)
| ~ q(X0) ),
inference(renaming,[status(thm)],[c_607889]) ).
tcf(c_607892,plain,
! [X0: $i] :
( rr(X0)
| ~ q(X0)
| ~ qq(X0)
| aq(X0)
| ar(X0) ),
inference(global_subsumption_just,[status(thm)],[c_607890,c_408,c_321,c_523,c_522,c_466,c_464,c_534,c_532,c_933,c_7493,c_7496,c_7596,c_7623,c_7622,c_7618,c_7614,c_7613,c_7635,c_7716,c_7833,c_8004,c_8054,c_8050,c_8249,c_8245,c_8242,c_8444,c_8705,c_9544,c_9750,c_9757,c_9756,c_9766,c_10478,c_10525,c_10522,c_10568,c_11193,c_11426,c_11614,c_12209,c_12598,c_12873,c_12870,c_12878,c_12919,c_13803,c_15382,c_16013,c_16012,c_16008,c_16022,c_17324,c_17700,c_17699,c_17921,c_18546,c_18654,c_18953,c_18956,c_19011,c_20271,c_20846,c_21755,c_24290,c_26690,c_27223,c_27228,c_27992,c_29273,c_31575,c_32645,c_32657,c_33067,c_33405,c_33403,c_33415,c_33696,c_34376,c_34871,c_35217,c_37564,c_38572,c_38571,c_38601,c_38616,c_38615,c_39532,c_40388,c_42085,c_43405,c_48438,c_48683,c_51304,c_51306,c_57056,c_57533,c_58727,c_61152,c_62614,c_63103,c_86910,c_86933,c_87998,c_88992,c_92313,c_94550,c_100126,c_104884,c_106507,c_114338,c_117620,c_118214,c_118244,c_118407,c_119536,c_128144,c_129245,c_132312,c_265960,c_360476,c_364102,c_387131,c_398564,c_458605,c_459359,c_461321,c_500939,c_501780,c_607890]) ).
tcf(c_607893,plain,
! [X0: $i] :
( rr(X0)
| ar(X0)
| aq(X0)
| ~ qq(X0)
| ~ q(X0) ),
inference(renaming,[status(thm)],[c_607892]) ).
tcf(c_608004,plain,
! [X0: $i] :
( rr(X0)
| ar(X0)
| aq(X0)
| p(s(X0))
| ~ qq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_325993,c_408,c_321,c_466,c_982,c_1159,c_7493,c_7496,c_7598,c_7596,c_7623,c_7622,c_7621,c_7635,c_7717,c_7821,c_7833,c_8004,c_8118,c_8444,c_8605,c_8604,c_8707,c_9585,c_9750,c_9757,c_9766,c_10477,c_10501,c_10550,c_11212,c_11455,c_11641,c_12206,c_12873,c_12870,c_12878,c_15383,c_15382,c_16008,c_16022,c_17206,c_17324,c_17703,c_17921,c_18546,c_18616,c_18953,c_18956,c_18991,c_20278,c_20846,c_21755,c_24401,c_26508,c_26690,c_27223,c_27228,c_29273,c_32645,c_33063,c_33405,c_33415,c_35151,c_35228,c_39263,c_44267,c_45287,c_45291,c_46902,c_48054,c_48402,c_48456,c_48683,c_49905,c_51044,c_57080,c_58722,c_60399,c_64294,c_70246,c_71579,c_82721,c_88464,c_88985,c_106253,c_117235,c_118215,c_118243,c_119412,c_127979,c_128144,c_128152,c_190703,c_227840,c_269186,c_304870,c_326005,c_367615,c_369094,c_462543,c_524680,c_607893]) ).
tcf(c_608006,plain,
( rr(a)
| ar(a)
| aq(a)
| p(s(a))
| ~ qq(a) ),
inference(instantiation,[status(thm)],[c_608004]) ).
tcf(c_628999,plain,
! [X0: $i] :
( ap(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ rpq4(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_501780]) ).
tcf(c_629000,plain,
( ap(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))
| ~ rpq4(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))) ),
inference(instantiation,[status(thm)],[c_628999]) ).
tcf(c_629018,plain,
! [X0: $i] :
( ~ rpq1(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_500966]) ).
tcf(c_629019,plain,
! [X0: $i] :
( ~ rpq1(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_500963]) ).
tcf(c_629021,plain,
( ~ rpq1(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ p(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))) ),
inference(instantiation,[status(thm)],[c_629019]) ).
tcf(c_629022,plain,
( ~ rpq1(s(s(s(s(s(s(s(s(s(s(s(s(a)))))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(s(s(s(a))))))))))))) ),
inference(instantiation,[status(thm)],[c_629018]) ).
tcf(c_656511,plain,
! [X0: $i] :
( rr(X0)
| r(X0)
| ~ qq(X0)
| aq(X0)
| ar(X0) ),
inference(global_subsumption_just,[status(thm)],[c_354596,c_408,c_321,c_523,c_521,c_466,c_463,c_7493,c_7496,c_7523,c_7597,c_7596,c_7623,c_7622,c_7617,c_7635,c_7821,c_7833,c_8004,c_8111,c_8245,c_8242,c_8444,c_8582,c_8705,c_8835,c_9750,c_9757,c_9766,c_10501,c_10542,c_11212,c_11455,c_11641,c_12207,c_12598,c_12873,c_12870,c_12878,c_15383,c_15382,c_16011,c_16010,c_16009,c_16008,c_16022,c_17196,c_17174,c_17324,c_17699,c_18953,c_18956,c_18970,c_18969,c_20271,c_20846,c_26509,c_27223,c_27228,c_27370,c_27896,c_29273,c_31575,c_32645,c_33100,c_33097,c_33405,c_33403,c_33415,c_33696,c_37553,c_38575,c_38574,c_38571,c_38601,c_38616,c_39532,c_42085,c_42118,c_42117,c_43258,c_43372,c_43371,c_45291,c_47035,c_48438,c_48683,c_53978,c_53977,c_53981,c_57330,c_57531,c_61152,c_62435,c_62614,c_63095,c_65740,c_81069,c_82029,c_82145,c_82168,c_82902,c_83091,c_86845,c_89130,c_92313,c_99243,c_99252,c_99271,c_99396,c_100126,c_100209,c_100450,c_100449,c_100454,c_100509,c_102205,c_102514,c_102558,c_102550,c_105478,c_106932,c_113532,c_115568,c_119811,c_120188,c_128144,c_128152,c_134675,c_139462,c_146944,c_149787,c_149805,c_183704,c_197911,c_211097,c_216255,c_222027,c_231174,c_235598,c_251924,c_265960,c_271053,c_274265,c_292266,c_296434,c_304870,c_360476,c_367758,c_369010,c_372441,c_373819,c_375573,c_393560,c_398564,c_398623,c_422514,c_435353,c_461321,c_501780,c_507686,c_529754,c_579767,c_583805,c_607893,c_628999]) ).
tcf(c_656512,plain,
! [X0: $i] :
( rr(X0)
| r(X0)
| ar(X0)
| aq(X0)
| ~ qq(X0) ),
inference(renaming,[status(thm)],[c_656511]) ).
tcf(c_656513,plain,
( rr(a)
| r(a)
| ar(a)
| aq(a)
| ~ qq(a) ),
inference(instantiation,[status(thm)],[c_656512]) ).
tcf(c_659760,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_656513,c_629022,c_629021,c_629000,c_608006,c_583810,c_579769,c_548743,c_546581,c_529764,c_518313,c_507687,c_504847,c_501781,c_500946,c_483517,c_461331,c_459360,c_451294,c_449741,c_435354,c_434910,c_434808,c_432747,c_422515,c_402315,c_398793,c_398565,c_393990,c_393568,c_393564,c_393363,c_393356,c_392194,c_387661,c_387138,c_383159,c_383152,c_383135,c_376379,c_375574,c_373820,c_373660,c_373293,c_373237,c_373230,c_373227,c_372444,c_369095,c_369031,c_369015,c_368386,c_367759,c_366011,c_364082,c_363158,c_362938,c_360481,c_358940,c_357058,c_322856,c_318507,c_316904,c_296472,c_296451,c_296432,c_296431,c_292277,c_292240,c_292143,c_289971,c_283429,c_271878,c_271076,c_269151,c_265961,c_255004,c_251926,c_249582,c_249581,c_235613,c_235611,c_235386,c_234952,c_234052,c_233830,c_231175,c_229252,c_227822,c_222030,c_219405,c_216256,c_216238,c_213997,c_211098,c_197912,c_196798,c_193999,c_192369,c_192365,c_190704,c_183707,c_176030,c_172480,c_161906,c_154409,c_150948,c_150436,c_149849,c_149833,c_149816,c_149797,c_149789,c_149788,c_149159,c_147886,c_146988,c_146959,c_146945,c_145477,c_145268,c_143897,c_139467,c_139459,c_135299,c_134676,c_132316,c_131115,c_131102,c_130853,c_130838,c_129246,c_128153,c_128145,c_123686,c_123676,c_123585,c_121892,c_121537,c_120204,c_119812,c_119809,c_119807,c_119437,c_118423,c_118412,c_118248,c_118230,c_118071,c_117621,c_115573,c_115569,c_115535,c_115532,c_114695,c_114676,c_114374,c_114339,c_113737,c_113732,c_113533,c_111699,c_111693,c_111633,c_106933,c_106513,c_106512,c_106511,c_105723,c_105700,c_105479,c_105381,c_105380,c_105172,c_104919,c_104889,c_104885,c_104881,c_104717,c_103748,c_103746,c_102904,c_102854,c_102825,c_102748,c_102572,c_102569,c_102563,c_102540,c_102531,c_102528,c_102523,c_102206,c_102190,c_102189,c_100938,c_100930,c_100510,c_100457,c_100452,c_100451,c_100271,c_100210,c_100127,c_99844,c_99757,c_99662,c_99658,c_99397,c_99255,c_99251,c_99250,c_99161,c_99153,c_99152,c_97266,c_96931,c_96221,c_94588,c_94574,c_94555,c_94554,c_93408,c_92318,c_91895,c_91839,c_89131,c_88997,c_88758,c_88465,c_88293,c_88001,c_86946,c_86943,c_86920,c_86919,c_86851,c_85867,c_83103,c_82905,c_82722,c_82172,c_82171,c_82146,c_82042,c_82037,c_82036,c_82035,c_81219,c_81070,c_78081,c_72182,c_71580,c_65757,c_65743,c_65742,c_65741,c_65721,c_65719,c_65716,c_65715,c_65714,c_65713,c_65687,c_64322,c_64316,c_64315,c_64296,c_63145,c_63144,c_63141,c_63139,c_63128,c_63127,c_63123,c_63119,c_63065,c_63028,c_63027,c_63022,c_63020,c_62615,c_62483,c_62447,c_62446,c_62445,c_62444,c_62441,c_61153,c_60689,c_60400,c_60128,c_58728,c_58725,c_58724,c_57536,c_57331,c_57085,c_57084,c_57074,c_57067,c_53982,c_53980,c_53979,c_52662,c_51503,c_51495,c_51494,c_51492,c_51477,c_51476,c_51307,c_51305,c_51283,c_51045,c_48684,c_48457,c_48439,c_48055,c_46978,c_46924,c_46915,c_45317,c_45292,c_45288,c_45286,c_44631,c_44428,c_44423,c_44313,c_43442,c_43434,c_43427,c_43426,c_43419,c_43408,c_43259,c_42139,c_42130,c_42129,c_42125,c_42091,c_42090,c_42089,c_41133,c_41132,c_41130,c_41119,c_41118,c_41116,c_41115,c_41112,c_41026,c_40391,c_39793,c_39579,c_39533,c_38620,c_38619,c_38602,c_38582,c_38581,c_38579,c_38578,c_38577,c_38314,c_38302,c_38210,c_37565,c_37559,c_37555,c_37261,c_37245,c_37243,c_37212,c_35874,c_35243,c_35237,c_35224,c_35223,c_35222,c_35164,c_35158,c_34980,c_34872,c_34377,c_33701,c_33699,c_33416,c_33414,c_33413,c_33412,c_33410,c_33409,c_33112,c_33109,c_33086,c_33085,c_33082,c_33077,c_33076,c_33075,c_33073,c_33068,c_33016,c_32872,c_32864,c_32664,c_31589,c_31587,c_31585,c_31581,c_31580,c_31579,c_31578,c_31559,c_31558,c_31554,c_31549,c_31298,c_29615,c_29274,c_27994,c_27897,c_27592,c_27506,c_27235,c_27234,c_27232,c_27227,c_27226,c_27225,c_26706,c_26705,c_26694,c_26693,c_26691,c_26513,c_26512,c_24406,c_24405,c_24291,c_23116,c_23014,c_22632,c_22476,c_21782,c_21777,c_21776,c_21756,c_21095,c_20962,c_20957,c_20847,c_20809,c_20733,c_20602,c_20503,c_20403,c_20304,c_20302,c_20286,c_20285,c_20279,c_18999,c_18998,c_18997,c_18996,c_18992,c_18976,c_18974,c_18973,c_18963,c_18957,c_18955,c_18954,c_18661,c_18655,c_18638,c_18631,c_18625,c_18547,c_18530,c_18518,c_18463,c_18179,c_17977,c_17926,c_17925,c_17713,c_17708,c_17707,c_17706,c_17704,c_17325,c_17260,c_17257,c_17256,c_17255,c_17254,c_17248,c_17247,c_17246,c_17243,c_17242,c_17241,c_17238,c_17231,c_17224,c_17223,c_17222,c_17219,c_17218,c_17216,c_17149,c_17148,c_17045,c_16873,c_16869,c_16794,c_16639,c_16027,c_16026,c_16021,c_16020,c_16019,c_16018,c_16017,c_16015,c_16001,c_15731,c_15387,c_15386,c_15192,c_14068,c_14005,c_13864,c_13861,c_13804,c_13343,c_13341,c_12920,c_12879,c_12877,c_12876,c_12875,c_12874,c_12602,c_12601,c_12599,c_12588,c_12249,c_12244,c_12243,c_12239,c_12238,c_12236,c_12230,c_12229,c_12228,c_12227,c_12226,c_12221,c_12216,c_12214,c_12148,c_11877,c_11685,c_11674,c_11672,c_11662,c_11660,c_11659,c_11658,c_11654,c_11652,c_11467,c_11456,c_11452,c_11451,c_11448,c_11446,c_11444,c_11213,c_11206,c_11198,c_10575,c_10573,c_10561,c_10560,c_10558,c_10557,c_10555,c_10547,c_10546,c_10533,c_10513,c_10505,c_10504,c_10503,c_10502,c_10482,c_10481,c_9767,c_9762,c_9761,c_9759,c_9758,c_9752,c_9751,c_9555,c_9545,c_9301,c_8907,c_8906,c_8902,c_8736,c_8732,c_8731,c_8728,c_8712,c_8609,c_8608,c_8597,c_8583,c_8557,c_8445,c_8310,c_8263,c_8261,c_8260,c_8256,c_8132,c_8127,c_8125,c_8124,c_8122,c_8107,c_8106,c_8102,c_8096,c_8094,c_8090,c_8085,c_8082,c_8080,c_8009,c_7834,c_7823,c_7822,c_7696,c_7695,c_7694,c_7691,c_7689,c_7686,c_7685,c_7682,c_7636,c_7634,c_7630,c_7629,c_7628,c_7627,c_7626,c_7625,c_7624,c_7611,c_7610,c_7609,c_7590,c_7534,c_7501,c_7499,c_7497,c_7495,c_7494,c_914,c_857,c_679,c_678,c_677,c_675,c_674,c_672,c_671,c_670,c_625,c_317]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM005-1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n018.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Fri Sep 25 07:46:36 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.40 Running first-order theorem proving
% 0.08/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.41
% 0.08/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.41
% 0.08/0.41 % Detected problem language: tptp
% 0.08/0.42 % Proving...
% 48.14/11.41 % SZS status Started for theBenchmark.p
% 48.14/11.41 % SZS status Unsatisfiable for theBenchmark.p
% 48.14/11.41
% 48.14/11.41 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 48.14/11.41
% 48.14/11.41 % ------ iProver source info
% 48.14/11.41
% 48.14/11.41 % git: date: 2026-07-19 20:42:38 +0200
% 48.14/11.41 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 48.14/11.41 % git: non_committed_changes: false
% 48.14/11.41
% 48.14/11.41 % ------ Parsing...% successful
% 48.14/11.41
% 48.14/11.41
% 48.14/11.41 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 48.14/11.41
% 48.14/11.41 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 48.14/11.41
% 48.14/11.41 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 48.14/11.41 % ------ Proving...
% 48.14/11.41 % ------ Problem Properties
% 48.14/11.41
% 48.14/11.41 %
% 48.14/11.41 % clauses 229
% 48.14/11.41 % conjectures 229
% 48.14/11.41 % EPR 91
% 48.14/11.41 % Horn 122
% 48.14/11.41 % unary 1
% 48.14/11.41 % binary 90
% 48.14/11.41 % lits 862
% 48.14/11.41 % lits eq 0
% 48.14/11.41 % fd_pure 0
% 48.14/11.41 % fd_pseudo 0
% 48.14/11.41 % fd_cond 0
% 48.14/11.41 % fd_pseudo_cond 0
% 48.14/11.41 % AC symbols 0
% 48.14/11.41
% 48.14/11.41 % ------ Schedule dynamic 5 is on
% 48.14/11.41
% 48.14/11.41 % ------ no equalities: superposition off
% 48.14/11.41
% 48.14/11.41 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 48.14/11.41
% 48.14/11.41
% 48.14/11.41 % ------
% 48.14/11.41 % Current options:
% 48.14/11.41 % ------
% 48.14/11.41
% 48.14/11.41
% 48.14/11.41 %
% 48.14/11.41
% 48.14/11.41 % ------ Proving...
% 48.14/11.41 % Proof_search_loop: time out after: 17070 full_loop iterations
% 48.14/11.41
% 48.14/11.41 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 48.14/11.41
% 48.14/11.41
% 48.14/11.41 % ------
% 48.14/11.41 % Current options:
% 48.14/11.41 % ------
% 48.14/11.41
% 48.14/11.41
% 48.14/11.41 %
% 48.14/11.41
% 48.14/11.41 % ------ Proving...
% 48.14/11.41 %
% 48.14/11.41
% 48.14/11.41 % SZS status Unsatisfiable for theBenchmark.p
% 48.14/11.41
% 48.14/11.41 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 48.14/11.47
% 48.14/11.47
%------------------------------------------------------------------------------