%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN758-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:41:33 PM UTC 2026
% Result : Unsatisfiable 8.08s 1.72s
% Output : CNFRefutation 8.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 45
% Syntax : Number of formulae : 738 ( 22 unt; 0 def)
% Number of atoms : 6301 ( 0 equ)
% Maximal formula atoms : 10 ( 8 avg)
% Number of connectives : 7443 (3342 ~;4101 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 9 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 2 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 1420 ( 0 sgn1420 !; 0 ?;1205 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : ssRr(X0,skf1(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f2,negated_conjecture,
! [X2,X0,X1] :
( ssPv3(X2)
| ssPv3(X1)
| ~ ssPv4(X2)
| ~ ssPv2(X2)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
fof(f3,negated_conjecture,
! [X2,X0,X1] :
( ssPv2(X2)
| ~ ssPv4(X2)
| ~ ssPv1(X2)
| ~ ssRr(X2,X0)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f4,negated_conjecture,
! [X2,X3,X0,X1] :
( ssPv4(X2)
| ssPv2(X2)
| ssPv1(X3)
| ssPv3(X1)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
fof(f5,negated_conjecture,
! [X2,X3,X0,X1] :
( ssPv4(X2)
| ssPv1(X2)
| ssPv2(X3)
| ssPv4(X1)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
fof(f6,negated_conjecture,
! [X2,X3,X0,X1] :
( ssPv4(X2)
| ssPv1(X2)
| ssPv1(X3)
| ssPv2(X1)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
fof(f7,negated_conjecture,
! [X2,X3,X0,X1] :
( ssPv2(X2)
| ssPv2(X3)
| ssPv1(X1)
| ~ ssPv3(X2)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
fof(f8,negated_conjecture,
! [X2,X3,X0,X1] :
( ssPv3(X2)
| ssPv1(X2)
| ssPv4(X3)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f9,negated_conjecture,
! [X2,X3,X0,X1] :
( ssPv3(X2)
| ssPv1(X2)
| ssPv4(X3)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).
fof(f10,negated_conjecture,
! [X2,X3,X0,X1] :
( ssPv2(X2)
| ssPv1(X1)
| ~ ssPv3(X2)
| ~ ssPv4(X3)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).
fof(f11,negated_conjecture,
! [X2,X3,X0,X1] :
( ssPv3(X3)
| ssPv4(X1)
| ~ ssPv4(X2)
| ~ ssPv1(X2)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).
fof(f12,negated_conjecture,
! [X2,X3,X0,X1] :
( ssPv4(X2)
| ssPv2(X1)
| ~ ssPv3(X2)
| ~ ssPv4(X3)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).
fof(f13,negated_conjecture,
! [X2,X3,X0,X1] :
( ssPv4(X2)
| ssPv3(X1)
| ~ ssPv1(X2)
| ~ ssPv1(X3)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).
fof(f14,negated_conjecture,
! [X2,X3,X0,X1] :
( ssPv4(X2)
| ssPv1(X3)
| ~ ssPv1(X2)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause14) ).
fof(f15,negated_conjecture,
! [X2,X3,X0,X1] :
( ssPv3(X2)
| ssPv3(X1)
| ~ ssPv4(X2)
| ~ ssPv1(X3)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause15) ).
fof(f16,negated_conjecture,
! [X2,X3,X0,X1] :
( ssPv2(X2)
| ssPv1(X3)
| ~ ssPv4(X2)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause16) ).
fof(f17,negated_conjecture,
! [X2,X3,X0,X1] :
( ssPv4(X2)
| ~ ssPv2(X2)
| ~ ssPv3(X3)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause17) ).
fof(f18,negated_conjecture,
! [X2,X3,X0,X1] :
( ssPv3(X2)
| ~ ssPv2(X2)
| ~ ssPv4(X3)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause18) ).
fof(f19,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ ssPv4(X2)
| ~ ssPv2(X2)
| ~ ssPv2(X3)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause19) ).
fof(f21,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ssPv2(X2)
| ssPv3(X4)
| ssPv1(X1)
| ~ ssRr(X2,X4)
| ~ ssPv2(X3)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause21) ).
fof(f22,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ssPv2(X2)
| ssPv2(X4)
| ssPv4(X3)
| ~ ssRr(X2,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause22) ).
fof(f23,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ssPv2(X4)
| ssPv4(X3)
| ssPv3(X1)
| ~ ssPv3(X2)
| ~ ssRr(X2,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).
fof(f24,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ssPv4(X2)
| ssPv3(X2)
| ssPv4(X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).
fof(f26,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ssPv2(X2)
| ssPv1(X2)
| ssPv3(X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X0)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).
fof(f27,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ssPv2(X2)
| ssPv4(X4)
| ~ ssPv3(X2)
| ~ ssRr(X2,X3)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).
fof(f28,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ssPv2(X2)
| ssPv2(X4)
| ~ ssRr(X2,X4)
| ~ ssPv1(X3)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause28) ).
fof(f29,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ssPv4(X2)
| ssPv1(X4)
| ~ ssPv1(X2)
| ~ ssRr(X2,X3)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).
fof(f30,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ssPv2(X2)
| ssPv1(X4)
| ~ ssRr(X2,X4)
| ~ ssPv2(X3)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).
fof(f31,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ssPv4(X2)
| ssPv3(X4)
| ~ ssPv1(X2)
| ~ ssRr(X2,X3)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X0)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).
fof(f33,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ssPv3(X4)
| ~ ssPv3(X2)
| ~ ssPv1(X2)
| ~ ssRr(X2,X3)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X0)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
fof(f34,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ssPv1(X4)
| ~ ssPv3(X2)
| ~ ssPv1(X2)
| ~ ssRr(X2,X3)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X0)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
fof(f35,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ssPv2(X4)
| ~ ssPv4(X2)
| ~ ssPv1(X2)
| ~ ssRr(X2,X3)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X0)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).
fof(f36,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( ssPv1(X2)
| ssPv3(X5)
| ssPv1(X4)
| ssPv4(X1)
| ~ ssRr(X2,X5)
| ~ ssRr(X2,X3)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).
fof(f37,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ~ ssPv3(X2)
| ~ ssPv1(X2)
| ~ ssRr(X2,X3)
| ~ ssPv1(X4)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).
fof(f38,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( ssPv1(X2)
| ssPv3(X5)
| ssPv2(X4)
| ssPv3(X1)
| ~ ssRr(X2,X5)
| ~ ssRr(X2,X3)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).
fof(f39,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( ssPv2(X2)
| ssPv4(X5)
| ssPv1(X4)
| ~ ssRr(X2,X5)
| ~ ssRr(X2,X3)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X0)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
fof(f40,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( ssPv1(X2)
| ssPv3(X5)
| ssPv2(X4)
| ~ ssRr(X2,X5)
| ~ ssRr(X2,X3)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
fof(f41,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( ssPv3(X2)
| ssPv3(X5)
| ssPv4(X4)
| ~ ssRr(X2,X5)
| ~ ssRr(X2,X3)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X0)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).
fof(f42,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( ssPv2(X2)
| ssPv1(X4)
| ~ ssPv2(X5)
| ~ ssRr(X2,X5)
| ~ ssRr(X2,X3)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
fof(f45,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( ssPv4(X4)
| ~ ssPv1(X2)
| ~ ssPv3(X5)
| ~ ssRr(X2,X5)
| ~ ssRr(X2,X3)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X0)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).
fof(f46,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( ssPv3(X4)
| ~ ssPv1(X2)
| ~ ssPv3(X5)
| ~ ssRr(X2,X5)
| ~ ssRr(X2,X3)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X0)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
fof(f47,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( ssPv4(X4)
| ~ ssPv3(X2)
| ~ ssPv3(X5)
| ~ ssRr(X2,X5)
| ~ ssRr(X2,X3)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X0)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
fof(f48,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( ~ ssPv4(X2)
| ~ ssPv3(X5)
| ~ ssRr(X2,X5)
| ~ ssRr(X2,X3)
| ~ ssPv2(X4)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
fof(f49,negated_conjecture,
! [X2,X3,X0,X1,X6,X4,X5] :
( ssPv1(X6)
| ssPv2(X4)
| ssPv3(X1)
| ~ ssPv1(X2)
| ~ ssRr(X2,X5)
| ~ ssRr(X5,X6)
| ~ ssRr(X2,X3)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
fof(f51,negated_conjecture,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ ssPv2(X2)
| ~ ssRr(X2,X5)
| ~ ssPv1(X6)
| ~ ssRr(X5,X6)
| ~ ssRr(X2,X3)
| ~ ssPv2(X4)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X0)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
tcf(c_100,negated_conjecture,
! [X0: $i] : ssRr(X0,skf1(X0)),
inference(cnf_transformation,[],[f1]) ).
tcf(c_101,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X2)
| ssPv3(X1)
| ~ ssPv4(X2)
| ~ ssPv2(X2)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_102,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(X2)
| ~ ssPv1(X2)
| ~ ssPv4(X2)
| ~ ssPv2(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_103,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv1(X3)
| ssPv3(X1)
| ssPv4(X2)
| ssPv2(X2)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_104,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv1(X2)
| ssPv4(X2)
| ssPv4(X1)
| ssPv2(X3)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_105,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv1(X3)
| ssPv1(X2)
| ssPv4(X2)
| ssPv2(X1)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_106,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv1(X1)
| ssPv2(X3)
| ssPv2(X2)
| ~ ssPv3(X2)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_107,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv1(X2)
| ssPv3(X2)
| ssPv4(X3)
| ~ ssPv3(X1)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_108,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv1(X2)
| ssPv3(X2)
| ssPv4(X3)
| ~ ssPv2(X1)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_109,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv1(X1)
| ssPv2(X2)
| ~ ssPv3(X2)
| ~ ssPv4(X3)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_110,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv3(X3)
| ssPv4(X1)
| ~ ssPv1(X2)
| ~ ssPv4(X2)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_111,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv4(X2)
| ssPv2(X1)
| ~ ssPv3(X2)
| ~ ssPv4(X3)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_112,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv3(X1)
| ssPv4(X2)
| ~ ssPv1(X3)
| ~ ssPv1(X2)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_113,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv1(X3)
| ssPv4(X2)
| ~ ssPv1(X2)
| ~ ssPv3(X1)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_114,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv3(X2)
| ssPv3(X1)
| ~ ssPv1(X3)
| ~ ssPv4(X2)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_115,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv1(X3)
| ssPv2(X2)
| ~ ssPv1(X1)
| ~ ssPv4(X2)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_116,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv4(X2)
| ~ ssPv3(X3)
| ~ ssPv4(X1)
| ~ ssPv2(X2)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_117,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv3(X2)
| ~ ssPv4(X3)
| ~ ssPv4(X1)
| ~ ssPv2(X2)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_118,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ssPv4(X2)
| ~ ssPv2(X3)
| ~ ssPv2(X2)
| ~ ssPv2(X1)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_120,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv1(X1)
| ssPv3(X4)
| ssPv2(X2)
| ~ ssPv2(X3)
| ~ ssRr(X2,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_121,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv4(X3)
| ssPv2(X4)
| ssPv2(X2)
| ~ ssPv1(X1)
| ~ ssRr(X2,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_122,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv3(X1)
| ssPv4(X3)
| ssPv2(X4)
| ~ ssPv3(X2)
| ~ ssRr(X2,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_123,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv3(X2)
| ssPv4(X4)
| ssPv4(X2)
| ~ ssPv3(X1)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_125,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv1(X2)
| ssPv3(X4)
| ssPv2(X2)
| ~ ssPv4(X1)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_126,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv4(X4)
| ssPv2(X2)
| ~ ssPv3(X2)
| ~ ssPv3(X1)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_127,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv2(X4)
| ssPv2(X2)
| ~ ssPv1(X3)
| ~ ssPv4(X1)
| ~ ssRr(X2,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_128,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv1(X4)
| ssPv4(X2)
| ~ ssPv1(X2)
| ~ ssPv3(X1)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_129,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv1(X4)
| ssPv2(X2)
| ~ ssPv3(X1)
| ~ ssPv2(X3)
| ~ ssRr(X2,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_130,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv3(X4)
| ssPv4(X2)
| ~ ssPv1(X2)
| ~ ssPv1(X1)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_132,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv3(X4)
| ~ ssPv1(X2)
| ~ ssPv3(X2)
| ~ ssPv2(X1)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_133,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv1(X4)
| ~ ssPv1(X2)
| ~ ssPv3(X2)
| ~ ssPv4(X1)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_134,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv2(X4)
| ~ ssPv1(X2)
| ~ ssPv4(X2)
| ~ ssPv4(X1)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_135,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssPv1(X5)
| ssPv1(X2)
| ssPv3(X4)
| ssPv4(X1)
| ~ ssRr(X3,X5)
| ~ ssRr(X2,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_136,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ssPv1(X4)
| ~ ssPv1(X2)
| ~ ssPv3(X2)
| ~ ssPv3(X1)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_137,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssPv1(X2)
| ssPv3(X4)
| ssPv3(X1)
| ssPv2(X5)
| ~ ssRr(X3,X5)
| ~ ssRr(X2,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_138,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssPv1(X5)
| ssPv4(X4)
| ssPv2(X2)
| ~ ssPv2(X1)
| ~ ssRr(X3,X5)
| ~ ssRr(X2,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_139,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssPv1(X2)
| ssPv3(X4)
| ssPv2(X5)
| ~ ssPv3(X1)
| ~ ssRr(X3,X5)
| ~ ssRr(X2,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_140,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssPv3(X4)
| ssPv3(X2)
| ssPv4(X5)
| ~ ssPv2(X1)
| ~ ssRr(X3,X5)
| ~ ssRr(X2,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_141,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssPv1(X5)
| ssPv2(X2)
| ~ ssPv3(X1)
| ~ ssPv2(X4)
| ~ ssRr(X3,X5)
| ~ ssRr(X2,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_144,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssPv4(X5)
| ~ ssPv1(X2)
| ~ ssPv1(X1)
| ~ ssPv3(X4)
| ~ ssRr(X3,X5)
| ~ ssRr(X2,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_145,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssPv3(X5)
| ~ ssPv1(X2)
| ~ ssPv3(X4)
| ~ ssPv2(X1)
| ~ ssRr(X3,X5)
| ~ ssRr(X2,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_146,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssPv4(X5)
| ~ ssPv3(X4)
| ~ ssPv3(X2)
| ~ ssPv2(X1)
| ~ ssRr(X3,X5)
| ~ ssRr(X2,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_147,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ssPv3(X4)
| ~ ssPv3(X1)
| ~ ssPv4(X2)
| ~ ssPv2(X5)
| ~ ssRr(X3,X5)
| ~ ssRr(X2,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_148,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ssPv1(X6)
| ssPv3(X1)
| ssPv2(X5)
| ~ ssPv1(X2)
| ~ ssRr(X4,X6)
| ~ ssRr(X3,X5)
| ~ ssRr(X2,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_150,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ssPv1(X6)
| ~ ssPv4(X1)
| ~ ssPv2(X5)
| ~ ssPv2(X2)
| ~ ssRr(X4,X6)
| ~ ssRr(X3,X5)
| ~ ssRr(X2,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_151,plain,
ssRr(iProver_bot,skf1(iProver_bot)),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_171,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssPv1(X2)
| ssPv3(X4)
| ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X4)
| ~ ssRr(X3,X5)
| ssPv2(X5) ),
inference(global_subsumption_just,[status(thm)],[c_137,c_137,c_139]) ).
tcf(c_172,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssPv1(X2)
| ssPv3(X4)
| ssPv2(X5)
| ~ ssRr(X3,X5)
| ~ ssRr(X2,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(renaming,[status(thm)],[c_171]) ).
tcf(c_173,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssPv1(X2)
| ssPv3(X4)
| ssPv2(X5)
| ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X4)
| ~ ssRr(X3,X5) ),
inference(global_subsumption_just,[status(thm)],[c_139,c_172]) ).
tcf(c_174,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssPv1(X2)
| ssPv3(X4)
| ssPv2(X5)
| ~ ssRr(X3,X5)
| ~ ssRr(X2,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(renaming,[status(thm)],[c_173]) ).
tcf(c_1733,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv1(X0)
| ssPv4(X2)
| ssPv4(X0)
| ssPv2(skf1(X0))
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_1736,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv1(X3)
| ssPv3(X4)
| ssPv4(X2)
| ssPv1(skf1(X0))
| ~ ssRr(X3,X4)
| ~ ssRr(X3,X1)
| ~ ssRr(X3,X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_135]) ).
tcf(c_1737,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv1(X3)
| ssPv3(X4)
| ssPv2(skf1(X0))
| ~ ssRr(X3,X4)
| ~ ssRr(X3,X1)
| ~ ssRr(X3,X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_174]) ).
tcf(c_1741,plain,
! [X0: $i,X1: $i] :
( ssPv1(X0)
| ssPv4(X0)
| ssPv4(skf1(X1))
| ssPv2(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_1733]) ).
tcf(c_1744,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv1(X1)
| ssPv4(X3)
| ssPv1(skf1(X0))
| ssPv3(skf1(X1))
| ~ ssRr(X2,X3)
| ~ ssRr(X1,X2)
| ~ ssRr(X1,X0)
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_1736]) ).
tcf(c_1746,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv1(X1)
| ssPv3(skf1(X1))
| ssPv2(skf1(X0))
| ~ ssRr(X2,X3)
| ~ ssRr(X1,X2)
| ~ ssRr(X1,X0)
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_1737]) ).
tcf(c_1750,plain,
! [X0: $i] :
( ssPv1(X0)
| ssPv4(X0)
| ssPv2(skf1(X0))
| ssPv4(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_1741]) ).
tcf(c_1754,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv1(X1)
| ssPv1(skf1(X0))
| ssPv3(skf1(X1))
| ssPv4(skf1(X2))
| ~ ssRr(X1,X2)
| ~ ssRr(X1,X0)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_1744]) ).
tcf(c_1756,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv1(X1)
| ssPv3(skf1(X1))
| ssPv2(skf1(X0))
| ~ ssRr(X1,X2)
| ~ ssRr(X1,X0)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_1746]) ).
tcf(c_1757,plain,
! [X0: $i] : ssRr(skf1(X0),skf1(skf1(X0))),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_1758,plain,
ssRr(skf1(iProver_bot),skf1(skf1(iProver_bot))),
inference(instantiation,[status(thm)],[c_1757]) ).
tcf(c_1761,plain,
! [X0: $i,X1: $i] :
( ssPv1(X0)
| ssPv1(skf1(X1))
| ssPv3(skf1(X0))
| ssPv4(skf1(skf1(X0)))
| ~ ssRr(X0,X1)
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_1754]) ).
tcf(c_1763,plain,
! [X0: $i,X1: $i] :
( ssPv1(X0)
| ssPv3(skf1(X0))
| ssPv2(skf1(X1))
| ~ ssRr(X0,X1)
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_1756]) ).
tcf(c_1781,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv1(X3)
| ssPv2(X3)
| ssPv3(skf1(X0))
| ~ ssPv4(X2)
| ~ ssRr(X3,X1)
| ~ ssRr(X3,X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_1784,plain,
! [X0: $i] :
( ssPv1(X0)
| ssPv3(skf1(X0))
| ssPv1(skf1(skf1(X0)))
| ssPv4(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_1761]) ).
tcf(c_1787,plain,
! [X0: $i] :
( ssPv1(X0)
| ssPv3(skf1(X0))
| ssPv2(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_1763]) ).
tcf(c_1790,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv1(X0)
| ssPv2(X0)
| ssPv3(skf1(X2))
| ~ ssPv4(X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_1781]) ).
tcf(c_1826,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv1(skf1(X0))
| ssPv3(skf1(X2))
| ssPv2(skf1(X0))
| ~ ssPv4(X1)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(skf1(X0)),X1)
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_1790]) ).
tcf(c_1827,plain,
! [X0: $i] :
( ssPv1(skf1(X0))
| ssPv3(skf1(skf1(X0)))
| ssPv2(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(X0),skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_1787]) ).
tcf(c_1828,plain,
! [X0: $i] :
( ssPv1(skf1(X0))
| ssPv3(skf1(skf1(X0)))
| ssPv1(skf1(skf1(skf1(X0))))
| ssPv4(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(X0),skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_1784]) ).
tcf(c_1830,plain,
( ssPv1(skf1(iProver_bot))
| ssPv3(skf1(skf1(iProver_bot)))
| ssPv2(skf1(skf1(skf1(iProver_bot))))
| ~ ssRr(skf1(iProver_bot),skf1(skf1(iProver_bot)))
| ~ ssRr(skf1(skf1(iProver_bot)),skf1(skf1(skf1(iProver_bot)))) ),
inference(instantiation,[status(thm)],[c_1827]) ).
tcf(c_1843,plain,
! [X0: $i,X1: $i] :
( ssPv1(skf1(X0))
| ssPv2(skf1(X0))
| ssPv3(skf1(skf1(skf1(X0))))
| ~ ssPv4(X1)
| ~ ssRr(skf1(skf1(X0)),X1)
| ~ ssRr(skf1(X0),skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_1826]) ).
tcf(c_1847,plain,
! [X0: $i] : ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))),
inference(instantiation,[status(thm)],[c_1757]) ).
tcf(c_1848,plain,
ssRr(skf1(skf1(iProver_bot)),skf1(skf1(skf1(iProver_bot)))),
inference(instantiation,[status(thm)],[c_1847]) ).
tcf(c_1878,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(X0)))
| ssPv4(skf1(skf1(X0)))
| ssPv2(skf1(skf1(skf1(X0))))
| ssPv4(skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0))))) ),
inference(instantiation,[status(thm)],[c_1750]) ).
tcf(c_1881,plain,
( ssPv1(skf1(skf1(iProver_bot)))
| ssPv4(skf1(skf1(iProver_bot)))
| ssPv2(skf1(skf1(skf1(iProver_bot))))
| ssPv4(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssRr(skf1(skf1(iProver_bot)),skf1(skf1(skf1(iProver_bot))))
| ~ ssRr(skf1(skf1(skf1(iProver_bot))),skf1(skf1(skf1(skf1(iProver_bot))))) ),
inference(instantiation,[status(thm)],[c_1878]) ).
tcf(c_1889,plain,
! [X0: $i] :
( ssPv1(skf1(X0))
| ssPv2(skf1(X0))
| ssPv3(skf1(skf1(skf1(X0))))
| ~ ssPv4(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(X0),skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_1843]) ).
tcf(c_1890,plain,
( ssPv1(skf1(iProver_bot))
| ssPv2(skf1(iProver_bot))
| ssPv3(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv4(skf1(skf1(skf1(iProver_bot))))
| ~ ssRr(skf1(iProver_bot),skf1(skf1(iProver_bot)))
| ~ ssRr(skf1(skf1(iProver_bot)),skf1(skf1(skf1(iProver_bot)))) ),
inference(instantiation,[status(thm)],[c_1889]) ).
tcf(c_1961,plain,
! [X0: $i] : ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0))))),
inference(instantiation,[status(thm)],[c_1847]) ).
tcf(c_1962,plain,
ssRr(skf1(skf1(skf1(iProver_bot))),skf1(skf1(skf1(skf1(iProver_bot))))),
inference(instantiation,[status(thm)],[c_1961]) ).
tcf(c_2389,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(X0)))
| ssPv2(skf1(skf1(X0)))
| ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv4(skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0))))) ),
inference(instantiation,[status(thm)],[c_1889]) ).
tcf(c_2390,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(X0)))
| ssPv3(skf1(skf1(skf1(X0))))
| ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ssPv4(skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0))))) ),
inference(instantiation,[status(thm)],[c_1828]) ).
tcf(c_2392,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(X0)))
| ssPv3(skf1(skf1(skf1(X0))))
| ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0))))) ),
inference(instantiation,[status(thm)],[c_1827]) ).
tcf(c_2393,plain,
( ssPv1(skf1(skf1(iProver_bot)))
| ssPv3(skf1(skf1(skf1(iProver_bot))))
| ssPv2(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssRr(skf1(skf1(iProver_bot)),skf1(skf1(skf1(iProver_bot))))
| ~ ssRr(skf1(skf1(skf1(iProver_bot))),skf1(skf1(skf1(skf1(iProver_bot))))) ),
inference(instantiation,[status(thm)],[c_2392]) ).
tcf(c_2395,plain,
( ssPv1(skf1(skf1(iProver_bot)))
| ssPv3(skf1(skf1(skf1(iProver_bot))))
| ssPv1(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv4(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssRr(skf1(skf1(iProver_bot)),skf1(skf1(skf1(iProver_bot))))
| ~ ssRr(skf1(skf1(skf1(iProver_bot))),skf1(skf1(skf1(skf1(iProver_bot))))) ),
inference(instantiation,[status(thm)],[c_2390]) ).
tcf(c_2396,plain,
( ssPv1(skf1(skf1(iProver_bot)))
| ssPv2(skf1(skf1(iProver_bot)))
| ssPv3(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv4(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssRr(skf1(skf1(iProver_bot)),skf1(skf1(skf1(iProver_bot))))
| ~ ssRr(skf1(skf1(skf1(iProver_bot))),skf1(skf1(skf1(skf1(iProver_bot))))) ),
inference(instantiation,[status(thm)],[c_2389]) ).
tcf(c_2420,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv1(X3)
| ssPv2(X3)
| ssPv3(skf1(X0))
| ~ ssPv4(X2)
| ~ ssRr(X3,X1)
| ~ ssRr(X3,X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_2421,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv1(X3)
| ssPv3(X4)
| ssPv2(skf1(X0))
| ~ ssRr(X3,X4)
| ~ ssRr(X3,X1)
| ~ ssRr(X3,X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_174]) ).
tcf(c_2422,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv1(X0)
| ssPv2(X0)
| ssPv3(skf1(X2))
| ~ ssPv4(X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_2420]) ).
tcf(c_2423,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv1(X1)
| ssPv3(skf1(X1))
| ssPv2(skf1(X0))
| ~ ssRr(X2,X3)
| ~ ssRr(X1,X2)
| ~ ssRr(X1,X0)
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_2421]) ).
tcf(c_2424,plain,
! [X0: $i,X1: $i] :
( ssPv1(X0)
| ssPv2(X0)
| ssPv3(skf1(skf1(X0)))
| ~ ssPv4(X1)
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),X1)
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2422]) ).
tcf(c_2425,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv1(X1)
| ssPv3(skf1(X1))
| ssPv2(skf1(X0))
| ~ ssRr(X1,X2)
| ~ ssRr(X1,X0)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_2423]) ).
tcf(c_2426,plain,
! [X0: $i] :
( ssPv1(X0)
| ssPv2(X0)
| ssPv3(skf1(skf1(X0)))
| ~ ssPv4(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2424]) ).
tcf(c_2427,plain,
! [X0: $i,X1: $i] :
( ssPv1(X0)
| ssPv3(skf1(X0))
| ssPv2(skf1(X1))
| ~ ssRr(X0,X1)
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2425]) ).
tcf(c_2428,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv1(X3)
| ssPv2(skf1(skf1(X0)))
| ~ ssPv4(X2)
| ~ ssRr(X1,X3)
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),X2)
| ~ ssRr(skf1(skf1(X0)),X1) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_2429,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv1(X3)
| ssPv2(X2)
| ssPv2(skf1(skf1(X0)))
| ~ ssRr(X1,X3)
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),X2)
| ~ ssRr(skf1(skf1(X0)),X1) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_2435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv1(X4)
| ssPv2(X2)
| ~ ssPv2(X3)
| ~ ssRr(X2,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssPv3(skf1(skf1(X1)))
| ~ ssRr(X0,skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_129]) ).
tcf(c_2437,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ssPv3(X3)
| ~ ssPv4(X0)
| ~ ssPv2(X5)
| ~ ssRr(X4,X5)
| ~ ssRr(X2,X3)
| ~ ssRr(X0,X4)
| ~ ssRr(X0,X2)
| ~ ssPv3(skf1(skf1(X1)))
| ~ ssRr(X0,skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_147]) ).
tcf(c_2438,plain,
! [X0: $i] :
( ssPv1(X0)
| ssPv3(skf1(X0))
| ssPv2(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2427]) ).
tcf(c_2439,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv1(skf1(X1))
| ssPv2(skf1(skf1(X0)))
| ~ ssPv4(X2)
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(skf1(X0)),X2)
| ~ ssRr(skf1(skf1(X0)),X1) ),
inference(instantiation,[status(thm)],[c_2428]) ).
tcf(c_2441,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(X2)
| ssPv1(skf1(X1))
| ssPv2(skf1(skf1(X0)))
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(skf1(X0)),X2)
| ~ ssRr(skf1(skf1(X0)),X1) ),
inference(instantiation,[status(thm)],[c_2429]) ).
tcf(c_2451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssPv1(X5)
| ssPv2(X2)
| ~ ssPv2(X4)
| ~ ssPv3(skf1(X1))
| ~ ssRr(X3,X5)
| ~ ssRr(X2,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,skf1(X1)) ),
inference(instantiation,[status(thm)],[c_141]) ).
tcf(c_2452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv1(X4)
| ssPv2(X2)
| ~ ssPv2(X3)
| ~ ssPv3(skf1(X1))
| ~ ssRr(X2,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,skf1(X1)) ),
inference(instantiation,[status(thm)],[c_129]) ).
tcf(c_2454,plain,
! [X0: $i,X1: $i] :
( ssPv1(skf1(X1))
| ssPv2(skf1(skf1(X0)))
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssRr(X1,skf1(X1))
| ~ ssPv4(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(X0)),X1)
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_2439]) ).
tcf(c_2456,plain,
! [X0: $i,X1: $i] :
( ssPv1(skf1(X1))
| ssPv2(skf1(skf1(X0)))
| ssPv2(skf1(skf1(skf1(X0))))
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(skf1(X0)),X1)
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_2441]) ).
tcf(c_2466,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(X0)))
| ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssPv4(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0))))) ),
inference(instantiation,[status(thm)],[c_2454]) ).
tcf(c_2467,plain,
( ssPv2(skf1(skf1(iProver_bot)))
| ssPv1(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv3(skf1(skf1(iProver_bot)))
| ~ ssPv4(skf1(skf1(skf1(iProver_bot))))
| ~ ssRr(skf1(skf1(iProver_bot)),skf1(skf1(skf1(iProver_bot))))
| ~ ssRr(skf1(skf1(skf1(iProver_bot))),skf1(skf1(skf1(skf1(iProver_bot))))) ),
inference(instantiation,[status(thm)],[c_2466]) ).
tcf(c_2468,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(X0)))
| ssPv2(skf1(skf1(skf1(X0))))
| ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0))))) ),
inference(instantiation,[status(thm)],[c_2456]) ).
tcf(c_2478,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv3(skf1(skf1(X0)))
| ~ ssPv4(X3)
| ~ ssPv4(X2)
| ~ ssRr(X1,X3)
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),X2)
| ~ ssRr(skf1(skf1(X0)),X1) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_2479,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X2)
| ssPv3(skf1(skf1(X0)))
| ~ ssRr(X1,X2)
| ~ ssPv4(skf1(skf1(X0)))
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),X1) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_2482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv1(X4)
| ssPv2(X0)
| ~ ssPv3(skf1(X3))
| ~ ssRr(X0,X4)
| ~ ssRr(X0,X2)
| ~ ssPv2(skf1(skf1(X1)))
| ~ ssRr(X2,skf1(X3))
| ~ ssRr(X0,skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_2452]) ).
tcf(c_2484,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv1(X3)
| ssPv3(X4)
| ssPv2(X0)
| ~ ssRr(X2,X3)
| ~ ssRr(X0,X4)
| ~ ssRr(X0,X2)
| ~ ssPv2(skf1(skf1(X1)))
| ~ ssRr(X0,skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_2485,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ssPv4(X0)
| ~ ssPv2(X3)
| ~ ssPv2(X0)
| ~ ssRr(X2,X3)
| ~ ssRr(X0,X2)
| ~ ssPv2(skf1(skf1(X1)))
| ~ ssRr(X0,skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_118]) ).
tcf(c_2489,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ssPv3(X5)
| ~ ssPv4(X0)
| ~ ssRr(X4,X5)
| ~ ssRr(X0,X4)
| ~ ssRr(X0,X2)
| ~ ssPv3(skf1(skf1(X1)))
| ~ ssPv2(skf1(skf1(X3)))
| ~ ssRr(X2,skf1(skf1(X3)))
| ~ ssRr(X0,skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_2437]) ).
tcf(c_2492,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssPv1(X5)
| ssPv2(X0)
| ~ ssPv3(skf1(X3))
| ~ ssRr(X4,X5)
| ~ ssRr(X0,X4)
| ~ ssRr(X0,X2)
| ~ ssPv2(skf1(skf1(X1)))
| ~ ssRr(X2,skf1(X3))
| ~ ssRr(X0,skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_2451]) ).
tcf(c_2514,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(skf1(skf1(X0)))
| ~ ssPv4(X2)
| ~ ssPv4(skf1(X1))
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(skf1(X0)),X2)
| ~ ssRr(skf1(skf1(X0)),X1) ),
inference(instantiation,[status(thm)],[c_2478]) ).
tcf(c_2516,plain,
! [X0: $i,X1: $i] :
( ssPv3(skf1(X1))
| ssPv3(skf1(skf1(X0)))
| ~ ssPv4(skf1(skf1(X0)))
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(skf1(X0)),X1) ),
inference(instantiation,[status(thm)],[c_2479]) ).
tcf(c_2518,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv2(X0)
| ssPv1(skf1(X0))
| ~ ssPv3(skf1(X3))
| ~ ssRr(X0,X2)
| ~ ssPv2(skf1(skf1(X1)))
| ~ ssRr(X2,skf1(X3))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(X0,skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_2482]) ).
tcf(c_2522,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv3(X3)
| ssPv2(X0)
| ssPv1(skf1(X2))
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssPv2(skf1(skf1(X1)))
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_2484]) ).
tcf(c_2524,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssPv4(X0)
| ~ ssPv2(X0)
| ~ ssPv2(skf1(X2))
| ~ ssRr(X0,X2)
| ~ ssPv2(skf1(skf1(X1)))
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_2485]) ).
tcf(c_2527,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ssPv4(X0)
| ~ ssPv3(skf1(X4))
| ~ ssRr(X0,X4)
| ~ ssRr(X0,X2)
| ~ ssPv3(skf1(skf1(X1)))
| ~ ssPv2(skf1(skf1(X3)))
| ~ ssRr(X4,skf1(X4))
| ~ ssRr(X2,skf1(skf1(X3)))
| ~ ssRr(X0,skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_2489]) ).
tcf(c_2529,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv2(X0)
| ssPv1(skf1(X4))
| ~ ssPv3(skf1(X3))
| ~ ssRr(X0,X4)
| ~ ssRr(X0,X2)
| ~ ssPv2(skf1(skf1(X1)))
| ~ ssRr(X4,skf1(X4))
| ~ ssRr(X2,skf1(X3))
| ~ ssRr(X0,skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_2492]) ).
tcf(c_2540,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X2)
| ssPv3(skf1(X0))
| ~ ssPv4(skf1(X0))
| ~ ssPv2(skf1(X0))
| ~ ssRr(X1,X2)
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_2542,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv1(X4)
| ssPv2(X2)
| ~ ssPv2(skf1(X3))
| ~ ssRr(X2,X4)
| ~ ssRr(X2,X0)
| ~ ssPv3(skf1(skf1(X1)))
| ~ ssRr(X2,skf1(X3))
| ~ ssRr(X0,skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_2435]) ).
tcf(c_2544,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ssPv4(X0)
| ~ ssPv2(X3)
| ~ ssPv2(X0)
| ~ ssPv2(skf1(X1))
| ~ ssRr(X2,X3)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,skf1(X1)) ),
inference(instantiation,[status(thm)],[c_118]) ).
tcf(c_2566,plain,
! [X0: $i,X1: $i] :
( ssPv3(skf1(skf1(X0)))
| ~ ssPv4(skf1(X1))
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssRr(X1,skf1(X1))
| ~ ssPv4(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(X0)),X1)
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_2514]) ).
tcf(c_2568,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(X0)))
| ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv4(skf1(skf1(X0)))
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0))))) ),
inference(instantiation,[status(thm)],[c_2516]) ).
tcf(c_2569,plain,
( ssPv3(skf1(skf1(iProver_bot)))
| ssPv3(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv4(skf1(skf1(iProver_bot)))
| ~ ssPv2(skf1(skf1(iProver_bot)))
| ~ ssRr(skf1(skf1(iProver_bot)),skf1(skf1(skf1(iProver_bot))))
| ~ ssRr(skf1(skf1(skf1(iProver_bot))),skf1(skf1(skf1(skf1(iProver_bot))))) ),
inference(instantiation,[status(thm)],[c_2568]) ).
tcf(c_2570,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(X0)
| ssPv1(skf1(X0))
| ~ ssPv3(skf1(X1))
| ~ ssPv2(skf1(skf1(X2)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(X0,skf1(skf1(X2)))
| ~ ssRr(skf1(X0),skf1(X1)) ),
inference(instantiation,[status(thm)],[c_2518]) ).
tcf(c_2574,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(X0)
| ssPv1(skf1(X2))
| ssPv3(skf1(X0))
| ~ ssRr(X0,X2)
| ~ ssPv2(skf1(skf1(X1)))
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(X0,skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_2522]) ).
tcf(c_2576,plain,
! [X0: $i,X1: $i] :
( ~ ssPv4(X0)
| ~ ssPv2(X0)
| ~ ssPv2(skf1(skf1(X1)))
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(X0,skf1(skf1(X1)))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2524]) ).
tcf(c_2580,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ssPv4(X0)
| ~ ssRr(X0,X2)
| ~ ssPv3(skf1(skf1(X1)))
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssPv2(skf1(skf1(X3)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(X2,skf1(skf1(X3)))
| ~ ssRr(X0,skf1(skf1(X1)))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2527]) ).
tcf(c_2582,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv2(X0)
| ssPv1(skf1(skf1(X0)))
| ~ ssPv3(skf1(X3))
| ~ ssRr(X0,X2)
| ~ ssPv2(skf1(skf1(X1)))
| ~ ssRr(X2,skf1(X3))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(X0,skf1(skf1(X1)))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2529]) ).
tcf(c_2594,plain,
! [X0: $i,X1: $i] :
( ssPv3(skf1(X1))
| ssPv3(skf1(X0))
| ~ ssPv4(skf1(X0))
| ~ ssPv2(skf1(X0))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_2540]) ).
tcf(c_2597,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv2(X2)
| ssPv1(skf1(X2))
| ~ ssPv2(skf1(X3))
| ~ ssRr(X2,X0)
| ~ ssPv3(skf1(skf1(X1)))
| ~ ssRr(X2,skf1(X3))
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_2542]) ).
tcf(c_2600,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssPv4(X0)
| ~ ssPv2(X0)
| ~ ssPv2(skf1(X2))
| ~ ssPv2(skf1(X1))
| ~ ssRr(X0,X2)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(X1)) ),
inference(instantiation,[status(thm)],[c_2544]) ).
tcf(c_2609,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(X0)))
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssPv4(skf1(skf1(skf1(X0))))
| ~ ssPv4(skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0))))) ),
inference(instantiation,[status(thm)],[c_2566]) ).
tcf(c_2610,plain,
( ssPv3(skf1(skf1(iProver_bot)))
| ~ ssPv2(skf1(skf1(iProver_bot)))
| ~ ssPv4(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv4(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssRr(skf1(skf1(iProver_bot)),skf1(skf1(skf1(iProver_bot))))
| ~ ssRr(skf1(skf1(skf1(iProver_bot))),skf1(skf1(skf1(skf1(iProver_bot))))) ),
inference(instantiation,[status(thm)],[c_2609]) ).
tcf(c_2618,plain,
! [X0: $i,X1: $i] :
( ssPv2(skf1(X0))
| ssPv1(skf1(skf1(X0)))
| ~ ssPv3(skf1(X1))
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssRr(skf1(X0),skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),skf1(X1)) ),
inference(instantiation,[status(thm)],[c_2570]) ).
tcf(c_2622,plain,
! [X0: $i,X1: $i] :
( ssPv2(X0)
| ssPv3(skf1(X0))
| ssPv1(skf1(skf1(X0)))
| ~ ssPv2(skf1(skf1(X1)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(X0,skf1(skf1(X1)))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2574]) ).
tcf(c_2624,plain,
! [X0: $i] :
( ~ ssPv4(skf1(X0))
| ~ ssPv2(skf1(X0))
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssPv2(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(X0),skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_2576]) ).
tcf(c_2625,plain,
( ~ ssPv4(skf1(iProver_bot))
| ~ ssPv2(skf1(iProver_bot))
| ~ ssPv2(skf1(skf1(iProver_bot)))
| ~ ssPv2(skf1(skf1(skf1(iProver_bot))))
| ~ ssRr(skf1(iProver_bot),skf1(skf1(iProver_bot)))
| ~ ssRr(skf1(skf1(iProver_bot)),skf1(skf1(skf1(iProver_bot)))) ),
inference(instantiation,[status(thm)],[c_2624]) ).
tcf(c_2628,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssPv4(X0)
| ~ ssPv3(skf1(skf1(X2)))
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssPv2(skf1(skf1(X1)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(X0,skf1(skf1(X2)))
| ~ ssRr(skf1(X0),skf1(skf1(X1)))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2580]) ).
tcf(c_2630,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(X0)
| ssPv1(skf1(skf1(X0)))
| ~ ssPv3(skf1(X1))
| ~ ssPv2(skf1(skf1(X2)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(X0,skf1(skf1(X2)))
| ~ ssRr(skf1(X0),skf1(X1))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2582]) ).
tcf(c_2636,plain,
! [X0: $i] :
( ssPv3(skf1(X0))
| ssPv3(skf1(skf1(skf1(X0))))
| ~ ssPv4(skf1(X0))
| ~ ssPv2(skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_2594]) ).
tcf(c_2637,plain,
( ssPv3(skf1(iProver_bot))
| ssPv3(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv4(skf1(iProver_bot))
| ~ ssPv2(skf1(iProver_bot))
| ~ ssRr(skf1(iProver_bot),skf1(skf1(iProver_bot)))
| ~ ssRr(skf1(skf1(iProver_bot)),skf1(skf1(skf1(iProver_bot)))) ),
inference(instantiation,[status(thm)],[c_2636]) ).
tcf(c_2640,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(X0)
| ssPv1(skf1(X0))
| ~ ssPv2(skf1(X2))
| ~ ssPv3(skf1(skf1(X1)))
| ~ ssRr(X0,skf1(X2))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_2597]) ).
tcf(c_2641,plain,
( ssPv2(iProver_bot)
| ssPv1(skf1(iProver_bot))
| ~ ssPv2(skf1(iProver_bot))
| ~ ssPv3(skf1(skf1(iProver_bot)))
| ~ ssRr(iProver_bot,skf1(iProver_bot))
| ~ ssRr(skf1(iProver_bot),skf1(skf1(iProver_bot))) ),
inference(instantiation,[status(thm)],[c_2640]) ).
tcf(c_2644,plain,
! [X0: $i,X1: $i] :
( ~ ssPv4(X0)
| ~ ssPv2(X0)
| ~ ssPv2(skf1(X1))
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X1))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2600]) ).
tcf(c_2645,plain,
( ~ ssPv4(iProver_bot)
| ~ ssPv2(iProver_bot)
| ~ ssPv2(skf1(iProver_bot))
| ~ ssPv2(skf1(skf1(iProver_bot)))
| ~ ssRr(iProver_bot,skf1(iProver_bot))
| ~ ssRr(skf1(iProver_bot),skf1(skf1(iProver_bot))) ),
inference(instantiation,[status(thm)],[c_2644]) ).
tcf(c_2656,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv3(X4)
| ssPv4(skf1(skf1(skf1(X0))))
| ~ ssPv1(X3)
| ~ ssRr(X2,X4)
| ~ ssRr(X1,X3)
| ~ ssPv1(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),X2)
| ~ ssRr(skf1(skf1(skf1(X0))),X1) ),
inference(instantiation,[status(thm)],[c_130]) ).
tcf(c_2657,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv1(X4)
| ssPv4(skf1(skf1(skf1(X0))))
| ~ ssPv3(X3)
| ~ ssRr(X2,X4)
| ~ ssRr(X1,X3)
| ~ ssPv1(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),X2)
| ~ ssRr(skf1(skf1(skf1(X0))),X1) ),
inference(instantiation,[status(thm)],[c_128]) ).
tcf(c_2660,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv4(skf1(skf1(skf1(X0))))
| ~ ssPv3(X2)
| ~ ssPv4(X3)
| ~ ssRr(X1,X3)
| ~ ssPv2(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),X2)
| ~ ssRr(skf1(skf1(skf1(X0))),X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_2661,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv1(X2)
| ssPv4(skf1(skf1(skf1(X0))))
| ~ ssPv3(X3)
| ~ ssRr(X1,X3)
| ~ ssPv1(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),X2)
| ~ ssRr(skf1(skf1(skf1(X0))),X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_2662,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv3(X3)
| ssPv4(skf1(skf1(skf1(X0))))
| ~ ssPv1(X2)
| ~ ssRr(X1,X3)
| ~ ssPv1(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),X2)
| ~ ssRr(skf1(skf1(skf1(X0))),X1) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_2663,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv2(X3)
| ssPv4(skf1(skf1(skf1(X0))))
| ~ ssPv4(X2)
| ~ ssRr(X1,X3)
| ~ ssPv3(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),X2)
| ~ ssRr(skf1(skf1(skf1(X0))),X1) ),
inference(instantiation,[status(thm)],[c_111]) ).
tcf(c_2664,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv1(X2)
| ssPv2(X3)
| ssPv1(skf1(skf1(skf1(X0))))
| ssPv4(skf1(skf1(skf1(X0))))
| ~ ssRr(X1,X3)
| ~ ssRr(skf1(skf1(skf1(X0))),X2)
| ~ ssRr(skf1(skf1(skf1(X0))),X1) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_2665,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv4(X3)
| ssPv2(X2)
| ssPv1(skf1(skf1(skf1(X0))))
| ssPv4(skf1(skf1(skf1(X0))))
| ~ ssRr(X1,X3)
| ~ ssRr(skf1(skf1(skf1(X0))),X2)
| ~ ssRr(skf1(skf1(skf1(X0))),X1) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_2666,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv1(X2)
| ssPv3(X3)
| ssPv4(skf1(skf1(skf1(X0))))
| ssPv2(skf1(skf1(skf1(X0))))
| ~ ssRr(X1,X3)
| ~ ssRr(skf1(skf1(skf1(X0))),X2)
| ~ ssRr(skf1(skf1(skf1(X0))),X1) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_2674,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssPv1(X5)
| ssPv1(X2)
| ssPv3(X4)
| ssPv4(skf1(skf1(skf1(X1))))
| ~ ssRr(X3,X5)
| ~ ssRr(X2,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,skf1(skf1(skf1(X1)))) ),
inference(instantiation,[status(thm)],[c_135]) ).
tcf(c_2675,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv3(X3)
| ssPv4(skf1(skf1(skf1(X1))))
| ~ ssPv1(X2)
| ~ ssPv4(X2)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,skf1(skf1(skf1(X1)))) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_2677,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv3(X3)
| ssPv2(X4)
| ssPv4(skf1(skf1(skf1(X1))))
| ~ ssPv3(X0)
| ~ ssRr(X2,X3)
| ~ ssRr(X0,X4)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,skf1(skf1(skf1(X1)))) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_2678,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv2(X4)
| ssPv2(X0)
| ssPv4(skf1(skf1(skf1(X1))))
| ~ ssPv1(X3)
| ~ ssRr(X2,X3)
| ~ ssRr(X0,X4)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,skf1(skf1(skf1(X1)))) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_2679,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv1(X0)
| ssPv3(X0)
| ssPv4(skf1(skf1(skf1(X1))))
| ~ ssPv2(X3)
| ~ ssRr(X2,X3)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,skf1(skf1(skf1(X1)))) ),
inference(instantiation,[status(thm)],[c_108]) ).
tcf(c_2680,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv1(X0)
| ssPv3(X0)
| ssPv4(skf1(skf1(skf1(X1))))
| ~ ssPv3(X3)
| ~ ssRr(X2,X3)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,skf1(skf1(skf1(X1)))) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_2683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssPv1(X5)
| ssPv2(X0)
| ssPv4(skf1(skf1(skf1(X1))))
| ~ ssPv2(X3)
| ~ ssRr(X4,X5)
| ~ ssRr(X2,X3)
| ~ ssRr(X0,X4)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,skf1(skf1(skf1(X1)))) ),
inference(instantiation,[status(thm)],[c_138]) ).
tcf(c_2684,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv2(X4)
| ssPv4(skf1(skf1(skf1(X1))))
| ~ ssPv3(X4)
| ~ ssPv3(X3)
| ~ ssRr(X4,X2)
| ~ ssRr(X4,X0)
| ~ ssRr(X2,X3)
| ~ ssRr(X0,skf1(skf1(skf1(X1)))) ),
inference(instantiation,[status(thm)],[c_126]) ).
tcf(c_2685,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv3(X4)
| ssPv4(X4)
| ssPv4(skf1(skf1(skf1(X1))))
| ~ ssPv3(X3)
| ~ ssRr(X4,X2)
| ~ ssRr(X4,X0)
| ~ ssRr(X2,X3)
| ~ ssRr(X0,skf1(skf1(skf1(X1)))) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_2687,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssPv4(skf1(skf1(skf1(X1))))
| ~ ssPv3(X5)
| ~ ssPv3(X4)
| ~ ssPv2(X3)
| ~ ssRr(X4,X5)
| ~ ssRr(X4,X2)
| ~ ssRr(X4,X0)
| ~ ssRr(X2,X3)
| ~ ssRr(X0,skf1(skf1(skf1(X1)))) ),
inference(instantiation,[status(thm)],[c_146]) ).
tcf(c_2688,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssPv4(skf1(skf1(skf1(X1))))
| ~ ssPv1(X4)
| ~ ssPv1(X3)
| ~ ssPv3(X5)
| ~ ssRr(X4,X5)
| ~ ssRr(X4,X2)
| ~ ssRr(X4,X0)
| ~ ssRr(X2,X3)
| ~ ssRr(X0,skf1(skf1(skf1(X1)))) ),
inference(instantiation,[status(thm)],[c_144]) ).
tcf(c_2690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssPv3(X5)
| ssPv3(X4)
| ssPv4(skf1(skf1(skf1(X1))))
| ~ ssPv2(X3)
| ~ ssRr(X4,X5)
| ~ ssRr(X4,X2)
| ~ ssRr(X4,X0)
| ~ ssRr(X2,X3)
| ~ ssRr(X0,skf1(skf1(skf1(X1)))) ),
inference(instantiation,[status(thm)],[c_140]) ).
tcf(c_2703,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(X0))))
| ~ ssPv2(skf1(skf1(skf1(X0))))
| ~ ssPv4(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0)))))) ),
inference(instantiation,[status(thm)],[c_2609]) ).
tcf(c_2704,plain,
( ssPv3(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv2(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv4(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(iProver_bot))),skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot)))))) ),
inference(instantiation,[status(thm)],[c_2703]) ).
tcf(c_2705,plain,
! [X0: $i] :
( ssPv2(skf1(X0))
| ssPv1(skf1(skf1(X0)))
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssPv3(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(X0),skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_2618]) ).
tcf(c_2706,plain,
( ssPv2(skf1(iProver_bot))
| ssPv1(skf1(skf1(iProver_bot)))
| ~ ssPv2(skf1(skf1(iProver_bot)))
| ~ ssPv3(skf1(skf1(skf1(iProver_bot))))
| ~ ssRr(skf1(iProver_bot),skf1(skf1(iProver_bot)))
| ~ ssRr(skf1(skf1(iProver_bot)),skf1(skf1(skf1(iProver_bot)))) ),
inference(instantiation,[status(thm)],[c_2705]) ).
tcf(c_2708,plain,
! [X0: $i] :
( ssPv2(skf1(X0))
| ssPv3(skf1(skf1(X0)))
| ssPv1(skf1(skf1(skf1(X0))))
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssRr(skf1(X0),skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_2622]) ).
tcf(c_2712,plain,
! [X0: $i] :
( ~ ssPv4(skf1(skf1(X0)))
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssPv2(skf1(skf1(skf1(X0))))
| ~ ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0))))) ),
inference(instantiation,[status(thm)],[c_2624]) ).
tcf(c_2713,plain,
( ~ ssPv4(skf1(skf1(iProver_bot)))
| ~ ssPv2(skf1(skf1(iProver_bot)))
| ~ ssPv2(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv2(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssRr(skf1(skf1(iProver_bot)),skf1(skf1(skf1(iProver_bot))))
| ~ ssRr(skf1(skf1(skf1(iProver_bot))),skf1(skf1(skf1(skf1(iProver_bot))))) ),
inference(instantiation,[status(thm)],[c_2712]) ).
tcf(c_2718,plain,
! [X0: $i,X1: $i] :
( ~ ssPv4(skf1(X0))
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssPv2(skf1(skf1(X1)))
| ~ ssPv3(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(X0),skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(X1)))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_2628]) ).
tcf(c_2720,plain,
! [X0: $i,X1: $i] :
( ssPv2(skf1(X0))
| ssPv1(skf1(skf1(skf1(X0))))
| ~ ssPv3(skf1(X1))
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssRr(skf1(X0),skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),skf1(X1))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_2630]) ).
tcf(c_2734,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ssPv1(X6)
| ssPv3(X4)
| ssPv2(X5)
| ~ ssPv1(skf1(X0))
| ~ ssRr(X3,X6)
| ~ ssRr(X2,X5)
| ~ ssRr(X1,X4)
| ~ ssRr(skf1(X0),X3)
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_148]) ).
tcf(c_2735,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssPv3(X5)
| ~ ssPv3(X3)
| ~ ssPv2(X4)
| ~ ssPv1(skf1(X0))
| ~ ssRr(X2,X5)
| ~ ssRr(X1,X4)
| ~ ssRr(skf1(X0),X3)
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_145]) ).
tcf(c_2736,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv2(X4)
| ~ ssPv4(X3)
| ~ ssPv1(skf1(X0))
| ~ ssPv4(skf1(X0))
| ~ ssRr(X2,X4)
| ~ ssRr(X1,X3)
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_134]) ).
tcf(c_2737,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv1(X4)
| ~ ssPv4(X3)
| ~ ssPv1(skf1(X0))
| ~ ssPv3(skf1(X0))
| ~ ssRr(X2,X4)
| ~ ssRr(X1,X3)
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_133]) ).
tcf(c_2738,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv3(X4)
| ~ ssPv2(X3)
| ~ ssPv1(skf1(X0))
| ~ ssPv3(skf1(X0))
| ~ ssRr(X2,X4)
| ~ ssRr(X1,X3)
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_132]) ).
tcf(c_2739,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(skf1(X0))
| ~ ssPv2(X2)
| ~ ssPv1(skf1(X0))
| ~ ssPv4(skf1(X0))
| ~ ssRr(X1,X2)
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_2743,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv2(X4)
| ssPv2(X0)
| ~ ssPv4(X3)
| ~ ssPv1(skf1(X1))
| ~ ssRr(X2,X3)
| ~ ssRr(X0,X4)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,skf1(X1)) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_2744,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv3(X3)
| ssPv3(X0)
| ~ ssPv4(X0)
| ~ ssPv1(skf1(X1))
| ~ ssRr(X2,X3)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,skf1(X1)) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_2747,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv1(X3)
| ssPv2(X2)
| ~ ssPv4(X2)
| ~ ssPv1(skf1(X1))
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,skf1(X1)) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_2749,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ssPv1(X4)
| ~ ssPv3(X4)
| ~ ssPv3(X3)
| ~ ssPv1(skf1(X1))
| ~ ssRr(X4,X2)
| ~ ssRr(X4,X0)
| ~ ssRr(X2,X3)
| ~ ssRr(X0,skf1(X1)) ),
inference(instantiation,[status(thm)],[c_136]) ).
tcf(c_2750,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ssPv4(X3)
| ~ ssPv2(X6)
| ~ ssPv2(X4)
| ~ ssPv1(skf1(X1))
| ~ ssRr(X5,X6)
| ~ ssRr(X4,X5)
| ~ ssRr(X4,X2)
| ~ ssRr(X4,X0)
| ~ ssRr(X2,X3)
| ~ ssRr(X0,skf1(X1)) ),
inference(instantiation,[status(thm)],[c_150]) ).
tcf(c_2764,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv3(skf1(X2))
| ssPv4(skf1(skf1(skf1(X0))))
| ~ ssPv1(X3)
| ~ ssRr(X1,X3)
| ~ ssRr(X2,skf1(X2))
| ~ ssPv1(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),X2)
| ~ ssRr(skf1(skf1(skf1(X0))),X1) ),
inference(instantiation,[status(thm)],[c_2656]) ).
tcf(c_2766,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv1(skf1(X2))
| ssPv4(skf1(skf1(skf1(X0))))
| ~ ssPv3(X3)
| ~ ssRr(X1,X3)
| ~ ssRr(X2,skf1(X2))
| ~ ssPv1(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),X2)
| ~ ssRr(skf1(skf1(skf1(X0))),X1) ),
inference(instantiation,[status(thm)],[c_2657]) ).
tcf(c_2772,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(skf1(skf1(skf1(X0))))
| ~ ssPv3(X2)
| ~ ssPv4(skf1(X1))
| ~ ssRr(X1,skf1(X1))
| ~ ssPv2(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),X2)
| ~ ssRr(skf1(skf1(skf1(X0))),X1) ),
inference(instantiation,[status(thm)],[c_2660]) ).
tcf(c_2774,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv1(X2)
| ssPv4(skf1(skf1(skf1(X0))))
| ~ ssPv3(skf1(X1))
| ~ ssRr(X1,skf1(X1))
| ~ ssPv1(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),X2)
| ~ ssRr(skf1(skf1(skf1(X0))),X1) ),
inference(instantiation,[status(thm)],[c_2661]) ).
tcf(c_2776,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(skf1(X1))
| ssPv4(skf1(skf1(skf1(X0))))
| ~ ssPv1(X2)
| ~ ssRr(X1,skf1(X1))
| ~ ssPv1(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),X2)
| ~ ssRr(skf1(skf1(skf1(X0))),X1) ),
inference(instantiation,[status(thm)],[c_2662]) ).
tcf(c_2778,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(skf1(X1))
| ssPv4(skf1(skf1(skf1(X0))))
| ~ ssPv4(X2)
| ~ ssRr(X1,skf1(X1))
| ~ ssPv3(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),X2)
| ~ ssRr(skf1(skf1(skf1(X0))),X1) ),
inference(instantiation,[status(thm)],[c_2663]) ).
tcf(c_2782,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv1(X2)
| ssPv2(skf1(X1))
| ssPv1(skf1(skf1(skf1(X0))))
| ssPv4(skf1(skf1(skf1(X0))))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(skf1(skf1(X0))),X2)
| ~ ssRr(skf1(skf1(skf1(X0))),X1) ),
inference(instantiation,[status(thm)],[c_2664]) ).
tcf(c_2784,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(X2)
| ssPv4(skf1(X1))
| ssPv1(skf1(skf1(skf1(X0))))
| ssPv4(skf1(skf1(skf1(X0))))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(skf1(skf1(X0))),X2)
| ~ ssRr(skf1(skf1(skf1(X0))),X1) ),
inference(instantiation,[status(thm)],[c_2665]) ).
tcf(c_2786,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv1(X2)
| ssPv3(skf1(X1))
| ssPv4(skf1(skf1(skf1(X0))))
| ssPv2(skf1(skf1(skf1(X0))))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(skf1(skf1(X0))),X2)
| ~ ssRr(skf1(skf1(skf1(X0))),X1) ),
inference(instantiation,[status(thm)],[c_2666]) ).
tcf(c_2789,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv1(X3)
| ssPv3(X4)
| ssPv1(skf1(X2))
| ssPv4(skf1(skf1(skf1(X1))))
| ~ ssRr(X3,X4)
| ~ ssRr(X3,X2)
| ~ ssRr(X3,X0)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(skf1(skf1(X1)))) ),
inference(instantiation,[status(thm)],[c_2674]) ).
tcf(c_2791,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(skf1(X2))
| ssPv4(skf1(skf1(skf1(X1))))
| ~ ssPv1(X2)
| ~ ssPv4(X2)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(skf1(skf1(X1)))) ),
inference(instantiation,[status(thm)],[c_2675]) ).
tcf(c_2793,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv2(X3)
| ssPv3(skf1(X2))
| ssPv4(skf1(skf1(skf1(X1))))
| ~ ssPv3(X0)
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(skf1(skf1(X1)))) ),
inference(instantiation,[status(thm)],[c_2677]) ).
tcf(c_2797,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv2(X3)
| ssPv2(X0)
| ssPv4(skf1(skf1(skf1(X1))))
| ~ ssPv1(skf1(X2))
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(skf1(skf1(X1)))) ),
inference(instantiation,[status(thm)],[c_2678]) ).
tcf(c_2799,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv1(X0)
| ssPv3(X0)
| ssPv4(skf1(skf1(skf1(X1))))
| ~ ssPv2(skf1(X2))
| ~ ssRr(X0,X2)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(skf1(skf1(X1)))) ),
inference(instantiation,[status(thm)],[c_2679]) ).
tcf(c_2801,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv1(X0)
| ssPv3(X0)
| ssPv4(skf1(skf1(skf1(X1))))
| ~ ssPv3(skf1(X2))
| ~ ssRr(X0,X2)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(skf1(skf1(X1)))) ),
inference(instantiation,[status(thm)],[c_2680]) ).
tcf(c_2804,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv2(X0)
| ssPv1(skf1(X2))
| ssPv4(skf1(skf1(skf1(X1))))
| ~ ssPv2(X4)
| ~ ssRr(X3,X4)
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(skf1(skf1(X1)))) ),
inference(instantiation,[status(thm)],[c_2683]) ).
tcf(c_2806,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv2(X2)
| ssPv4(skf1(skf1(skf1(X1))))
| ~ ssPv3(X3)
| ~ ssPv3(X2)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(skf1(X2),X3)
| ~ ssRr(X0,skf1(skf1(skf1(X1)))) ),
inference(instantiation,[status(thm)],[c_2684]) ).
tcf(c_2808,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv3(X2)
| ssPv4(X2)
| ssPv4(skf1(skf1(skf1(X1))))
| ~ ssPv3(X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(skf1(X2),X3)
| ~ ssRr(X0,skf1(skf1(skf1(X1)))) ),
inference(instantiation,[status(thm)],[c_2685]) ).
tcf(c_2809,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv4(skf1(skf1(skf1(X1))))
| ~ ssPv3(X2)
| ~ ssPv2(X4)
| ~ ssPv3(skf1(X2))
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(skf1(skf1(X1)))) ),
inference(instantiation,[status(thm)],[c_2687]) ).
tcf(c_2812,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv4(skf1(skf1(skf1(X1))))
| ~ ssPv1(X4)
| ~ ssPv1(X2)
| ~ ssPv3(skf1(X2))
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(skf1(skf1(X1)))) ),
inference(instantiation,[status(thm)],[c_2688]) ).
tcf(c_2815,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv3(X2)
| ssPv3(skf1(X2))
| ssPv4(skf1(skf1(skf1(X1))))
| ~ ssPv2(X4)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(skf1(skf1(X1)))) ),
inference(instantiation,[status(thm)],[c_2690]) ).
tcf(c_2818,plain,
! [X0: $i] : ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0)))))),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_2819,plain,
ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),
inference(instantiation,[status(thm)],[c_2818]) ).
tcf(c_2822,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(X0)))
| ssPv1(skf1(skf1(skf1(X0))))
| ~ ssPv2(skf1(skf1(skf1(X0))))
| ~ ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0))))) ),
inference(instantiation,[status(thm)],[c_2705]) ).
tcf(c_2823,plain,
( ssPv2(skf1(skf1(iProver_bot)))
| ssPv1(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv2(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv3(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssRr(skf1(skf1(iProver_bot)),skf1(skf1(skf1(iProver_bot))))
| ~ ssRr(skf1(skf1(skf1(iProver_bot))),skf1(skf1(skf1(skf1(iProver_bot))))) ),
inference(instantiation,[status(thm)],[c_2822]) ).
tcf(c_2826,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(X0)))
| ssPv3(skf1(skf1(skf1(X0))))
| ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv2(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0))))) ),
inference(instantiation,[status(thm)],[c_2708]) ).
tcf(c_2832,plain,
! [X0: $i] :
( ~ ssPv4(skf1(skf1(skf1(X0))))
| ~ ssPv2(skf1(skf1(skf1(X0))))
| ~ ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0)))))) ),
inference(instantiation,[status(thm)],[c_2712]) ).
tcf(c_2833,plain,
( ~ ssPv4(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv2(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv2(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(iProver_bot))),skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot)))))) ),
inference(instantiation,[status(thm)],[c_2832]) ).
tcf(c_2837,plain,
! [X0: $i] :
( ~ ssPv4(skf1(X0))
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssPv3(skf1(skf1(skf1(X0))))
| ~ ssPv2(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(X0),skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_2718]) ).
tcf(c_2839,plain,
! [X0: $i] :
( ssPv2(skf1(X0))
| ssPv1(skf1(skf1(skf1(X0))))
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssPv3(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(X0),skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_2720]) ).
tcf(c_2870,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(X0))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv4(skf1(skf1(skf1(X0))))
| ~ ssPv2(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0)))))) ),
inference(instantiation,[status(thm)],[c_2568]) ).
tcf(c_2873,plain,
! [X0: $i] :
( ssPv1(skf1(X0))
| ssPv2(skf1(X0))
| ssPv3(skf1(skf1(skf1(X0))))
| ~ ssPv4(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(X0),skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_2426]) ).
tcf(c_2876,plain,
( ssPv3(skf1(skf1(skf1(iProver_bot))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv4(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv2(skf1(skf1(skf1(iProver_bot))))
| ~ ssRr(skf1(skf1(skf1(iProver_bot))),skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot)))))) ),
inference(instantiation,[status(thm)],[c_2870]) ).
tcf(c_2888,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(X0)))
| ssPv3(skf1(skf1(skf1(X0))))
| ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0))))) ),
inference(instantiation,[status(thm)],[c_2438]) ).
tcf(c_2889,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(X0))))
| ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv3(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0)))))) ),
inference(instantiation,[status(thm)],[c_2468]) ).
tcf(c_2890,plain,
( ssPv2(skf1(skf1(skf1(iProver_bot))))
| ssPv2(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv3(skf1(skf1(skf1(iProver_bot))))
| ~ ssRr(skf1(skf1(skf1(iProver_bot))),skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot)))))) ),
inference(instantiation,[status(thm)],[c_2889]) ).
tcf(c_2897,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssPv1(X5)
| ssPv3(X4)
| ssPv2(skf1(X2))
| ~ ssPv1(skf1(X0))
| ~ ssRr(X3,X5)
| ~ ssRr(X1,X4)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(skf1(X0),X3)
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_2734]) ).
tcf(c_2899,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv3(skf1(X2))
| ~ ssPv3(X3)
| ~ ssPv2(X4)
| ~ ssPv1(skf1(X0))
| ~ ssRr(X1,X4)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(skf1(X0),X3)
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_2735]) ).
tcf(c_2903,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv2(skf1(X2))
| ~ ssPv4(X3)
| ~ ssPv1(skf1(X0))
| ~ ssPv4(skf1(X0))
| ~ ssRr(X1,X3)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_2736]) ).
tcf(c_2905,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv1(skf1(X2))
| ~ ssPv4(X3)
| ~ ssPv1(skf1(X0))
| ~ ssPv3(skf1(X0))
| ~ ssRr(X1,X3)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_2737]) ).
tcf(c_2907,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv3(skf1(X2))
| ~ ssPv2(X3)
| ~ ssPv1(skf1(X0))
| ~ ssPv3(skf1(X0))
| ~ ssRr(X1,X3)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_2738]) ).
tcf(c_2908,plain,
! [X0: $i,X1: $i] :
( ssPv2(skf1(X0))
| ~ ssPv1(skf1(X0))
| ~ ssPv4(skf1(X0))
| ~ ssPv2(skf1(X1))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_2739]) ).
tcf(c_2910,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv2(X3)
| ssPv2(X0)
| ~ ssPv1(skf1(X1))
| ~ ssPv4(skf1(X2))
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(X1)) ),
inference(instantiation,[status(thm)],[c_2743]) ).
tcf(c_2912,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X0)
| ssPv3(skf1(X2))
| ~ ssPv4(X0)
| ~ ssPv1(skf1(X1))
| ~ ssRr(X0,X2)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(X1)) ),
inference(instantiation,[status(thm)],[c_2744]) ).
tcf(c_2915,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(X2)
| ssPv1(skf1(X2))
| ~ ssPv4(X2)
| ~ ssPv1(skf1(X1))
| ~ ssRr(X2,X0)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(X1)) ),
inference(instantiation,[status(thm)],[c_2747]) ).
tcf(c_2916,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ssPv1(X0)
| ~ ssPv3(X1)
| ~ ssPv3(X0)
| ~ ssPv1(skf1(X3))
| ~ ssRr(X0,X2)
| ~ ssRr(X2,skf1(X3))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_2749]) ).
tcf(c_2917,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ssPv4(X4)
| ~ ssPv2(X5)
| ~ ssPv1(skf1(X1))
| ~ ssPv2(skf1(X2))
| ~ ssRr(X5,X3)
| ~ ssRr(X5,X2)
| ~ ssRr(X5,X0)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(X1)) ),
inference(instantiation,[status(thm)],[c_2750]) ).
tcf(c_2931,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(skf1(X2))
| ssPv4(skf1(skf1(skf1(X0))))
| ~ ssPv1(skf1(X1))
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X1,skf1(X1))
| ~ ssPv1(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),X2)
| ~ ssRr(skf1(skf1(skf1(X0))),X1) ),
inference(instantiation,[status(thm)],[c_2764]) ).
tcf(c_2933,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv1(skf1(X2))
| ssPv4(skf1(skf1(skf1(X0))))
| ~ ssPv3(skf1(X1))
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X1,skf1(X1))
| ~ ssPv1(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),X2)
| ~ ssRr(skf1(skf1(skf1(X0))),X1) ),
inference(instantiation,[status(thm)],[c_2766]) ).
tcf(c_2941,plain,
! [X0: $i,X1: $i] :
( ssPv4(skf1(skf1(skf1(X0))))
| ~ ssPv4(skf1(X1))
| ~ ssRr(X1,skf1(X1))
| ~ ssPv2(skf1(skf1(skf1(X0))))
| ~ ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(X0))),X1)
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0))))) ),
inference(instantiation,[status(thm)],[c_2772]) ).
tcf(c_2943,plain,
! [X0: $i,X1: $i] :
( ssPv4(skf1(skf1(skf1(X0))))
| ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv3(skf1(X1))
| ~ ssRr(X1,skf1(X1))
| ~ ssPv1(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),X1)
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0))))) ),
inference(instantiation,[status(thm)],[c_2774]) ).
tcf(c_2945,plain,
! [X0: $i,X1: $i] :
( ssPv3(skf1(X1))
| ssPv4(skf1(skf1(skf1(X0))))
| ~ ssRr(X1,skf1(X1))
| ~ ssPv1(skf1(skf1(skf1(X0))))
| ~ ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(X0))),X1)
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0))))) ),
inference(instantiation,[status(thm)],[c_2776]) ).
tcf(c_2948,plain,
! [X0: $i,X1: $i] :
( ssPv2(skf1(X1))
| ssPv4(skf1(skf1(skf1(X0))))
| ~ ssRr(X1,skf1(X1))
| ~ ssPv3(skf1(skf1(skf1(X0))))
| ~ ssPv4(skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(X0))),X1)
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0))))) ),
inference(instantiation,[status(thm)],[c_2778]) ).
tcf(c_2950,plain,
! [X0: $i,X1: $i] :
( ssPv2(skf1(X1))
| ssPv1(skf1(skf1(skf1(X0))))
| ssPv4(skf1(skf1(skf1(X0))))
| ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(skf1(skf1(X0))),X1)
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0))))) ),
inference(instantiation,[status(thm)],[c_2782]) ).
tcf(c_2952,plain,
! [X0: $i,X1: $i] :
( ssPv4(skf1(X1))
| ssPv1(skf1(skf1(skf1(X0))))
| ssPv4(skf1(skf1(skf1(X0))))
| ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(skf1(skf1(X0))),X1)
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0))))) ),
inference(instantiation,[status(thm)],[c_2784]) ).
tcf(c_2955,plain,
! [X0: $i,X1: $i] :
( ssPv3(skf1(X1))
| ssPv4(skf1(skf1(skf1(X0))))
| ssPv2(skf1(skf1(skf1(X0))))
| ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(skf1(skf1(X0))),X1)
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0))))) ),
inference(instantiation,[status(thm)],[c_2786]) ).
tcf(c_2957,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv1(X3)
| ssPv1(skf1(X2))
| ssPv3(skf1(X3))
| ssPv4(skf1(skf1(skf1(X1))))
| ~ ssRr(X3,X2)
| ~ ssRr(X3,X0)
| ~ ssRr(X3,skf1(X3))
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(skf1(skf1(X1)))) ),
inference(instantiation,[status(thm)],[c_2789]) ).
tcf(c_2959,plain,
! [X0: $i,X1: $i] :
( ssPv3(skf1(X0))
| ssPv4(skf1(skf1(skf1(X1))))
| ~ ssPv1(X0)
| ~ ssPv4(X0)
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(skf1(X1)))) ),
inference(instantiation,[status(thm)],[c_2791]) ).
tcf(c_2963,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(skf1(X2))
| ssPv2(skf1(X0))
| ssPv4(skf1(skf1(skf1(X1))))
| ~ ssPv3(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(X0,skf1(skf1(skf1(X1)))) ),
inference(instantiation,[status(thm)],[c_2793]) ).
tcf(c_2965,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(X0)
| ssPv2(skf1(X0))
| ssPv4(skf1(skf1(skf1(X1))))
| ~ ssPv1(skf1(X2))
| ~ ssRr(X0,X2)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(X0,skf1(skf1(skf1(X1)))) ),
inference(instantiation,[status(thm)],[c_2797]) ).
tcf(c_2968,plain,
! [X0: $i,X1: $i] :
( ssPv1(X0)
| ssPv3(X0)
| ssPv4(skf1(skf1(skf1(X1))))
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(X0,skf1(skf1(skf1(X1))))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2799]) ).
tcf(c_2970,plain,
! [X0: $i,X1: $i] :
( ssPv1(X0)
| ssPv3(X0)
| ssPv4(skf1(skf1(skf1(X1))))
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(X0,skf1(skf1(skf1(X1))))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2801]) ).
tcf(c_2973,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv2(X0)
| ssPv1(skf1(X2))
| ssPv4(skf1(skf1(skf1(X1))))
| ~ ssPv2(skf1(X3))
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssRr(X3,skf1(X3))
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(skf1(skf1(X1)))) ),
inference(instantiation,[status(thm)],[c_2804]) ).
tcf(c_2975,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(X0)
| ssPv4(skf1(skf1(skf1(X1))))
| ~ ssPv3(X2)
| ~ ssPv3(X0)
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),skf1(skf1(skf1(X1)))) ),
inference(instantiation,[status(thm)],[c_2806]) ).
tcf(c_2977,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X0)
| ssPv4(X0)
| ssPv4(skf1(skf1(skf1(X1))))
| ~ ssPv3(X2)
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),skf1(skf1(skf1(X1)))) ),
inference(instantiation,[status(thm)],[c_2808]) ).
tcf(c_2980,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv4(skf1(skf1(skf1(X1))))
| ~ ssPv3(X2)
| ~ ssPv3(skf1(X2))
| ~ ssPv2(skf1(X3))
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,skf1(X3))
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(skf1(skf1(X1)))) ),
inference(instantiation,[status(thm)],[c_2809]) ).
tcf(c_2982,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv4(skf1(skf1(skf1(X1))))
| ~ ssPv1(X2)
| ~ ssPv1(skf1(X3))
| ~ ssPv3(skf1(X2))
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,skf1(X3))
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(skf1(skf1(X1)))) ),
inference(instantiation,[status(thm)],[c_2812]) ).
tcf(c_2989,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv3(X2)
| ssPv3(skf1(X2))
| ssPv4(skf1(skf1(skf1(X1))))
| ~ ssPv2(skf1(X3))
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,skf1(X3))
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(skf1(skf1(X1)))) ),
inference(instantiation,[status(thm)],[c_2815]) ).
tcf(c_3249,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0))))))) ),
inference(instantiation,[status(thm)],[c_2826]) ).
tcf(c_3328,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv3(X4)
| ssPv1(skf1(X3))
| ssPv2(skf1(X2))
| ~ ssPv1(skf1(X0))
| ~ ssRr(X1,X4)
| ~ ssRr(X3,skf1(X3))
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(skf1(X0),X3)
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_2897]) ).
tcf(c_3330,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv3(skf1(X2))
| ~ ssPv3(X3)
| ~ ssPv1(skf1(X0))
| ~ ssPv2(skf1(X1))
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(X0),X3)
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_2899]) ).
tcf(c_3362,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(skf1(X2))
| ~ ssPv1(skf1(X0))
| ~ ssPv4(skf1(X1))
| ~ ssPv4(skf1(X0))
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_2903]) ).
tcf(c_3378,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv1(skf1(X2))
| ~ ssPv1(skf1(X0))
| ~ ssPv3(skf1(X0))
| ~ ssPv4(skf1(X1))
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_2905]) ).
tcf(c_3396,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(skf1(X2))
| ~ ssPv1(skf1(X0))
| ~ ssPv3(skf1(X0))
| ~ ssPv2(skf1(X1))
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_2907]) ).
tcf(c_3398,plain,
! [X0: $i] :
( ssPv2(skf1(X0))
| ~ ssPv1(skf1(X0))
| ~ ssPv4(skf1(X0))
| ~ ssPv2(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(X0),skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_2908]) ).
tcf(c_3401,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(X0)
| ssPv2(skf1(X0))
| ~ ssPv1(skf1(X1))
| ~ ssPv4(skf1(X2))
| ~ ssRr(X0,X2)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(X1))
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_2910]) ).
tcf(c_3404,plain,
! [X0: $i,X1: $i] :
( ssPv3(X0)
| ssPv3(skf1(skf1(X0)))
| ~ ssPv4(X0)
| ~ ssPv1(skf1(X1))
| ~ ssRr(X0,skf1(X1))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2912]) ).
tcf(c_3409,plain,
! [X0: $i,X1: $i] :
( ssPv2(X0)
| ssPv1(skf1(X0))
| ~ ssPv4(X0)
| ~ ssPv1(skf1(X1))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(X1)) ),
inference(instantiation,[status(thm)],[c_2915]) ).
tcf(c_3428,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssPv1(X0)
| ~ ssPv3(X2)
| ~ ssPv3(X0)
| ~ ssPv1(skf1(X1))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),skf1(X1)) ),
inference(instantiation,[status(thm)],[c_2916]) ).
tcf(c_3431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ssPv4(X1)
| ~ ssPv2(X0)
| ~ ssPv1(skf1(X3))
| ~ ssPv2(skf1(X4))
| ~ ssRr(X0,X4)
| ~ ssRr(X0,X2)
| ~ ssRr(X4,skf1(X4))
| ~ ssRr(X2,skf1(X3))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_2917]) ).
tcf(c_3461,plain,
! [X0: $i,X1: $i] :
( ssPv4(skf1(skf1(skf1(X0))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv1(skf1(X1))
| ~ ssRr(X1,skf1(X1))
| ~ ssPv1(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),X1)
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0)))))) ),
inference(instantiation,[status(thm)],[c_2931]) ).
tcf(c_3468,plain,
! [X0: $i,X1: $i] :
( ssPv4(skf1(skf1(skf1(X0))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv3(skf1(X1))
| ~ ssRr(X1,skf1(X1))
| ~ ssPv1(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),X1)
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0)))))) ),
inference(instantiation,[status(thm)],[c_2933]) ).
tcf(c_3521,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(X0))))
| ~ ssPv2(skf1(skf1(skf1(X0))))
| ~ ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0)))))) ),
inference(instantiation,[status(thm)],[c_2941]) ).
tcf(c_3522,plain,
( ssPv4(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv2(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv3(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(iProver_bot))),skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot)))))) ),
inference(instantiation,[status(thm)],[c_3521]) ).
tcf(c_3875,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(X0))))
| ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv1(skf1(skf1(skf1(X0))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0)))))) ),
inference(instantiation,[status(thm)],[c_2943]) ).
tcf(c_3878,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(X0))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv1(skf1(skf1(skf1(X0))))
| ~ ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0)))))) ),
inference(instantiation,[status(thm)],[c_2945]) ).
tcf(c_3879,plain,
( ssPv4(skf1(skf1(skf1(iProver_bot))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv1(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv1(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssRr(skf1(skf1(skf1(iProver_bot))),skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot)))))) ),
inference(instantiation,[status(thm)],[c_3878]) ).
tcf(c_3881,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(X0))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv3(skf1(skf1(skf1(X0))))
| ~ ssPv4(skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0)))))) ),
inference(instantiation,[status(thm)],[c_2948]) ).
tcf(c_3901,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(X0))))
| ssPv4(skf1(skf1(skf1(X0))))
| ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0)))))) ),
inference(instantiation,[status(thm)],[c_2950]) ).
tcf(c_3902,plain,
( ssPv1(skf1(skf1(skf1(iProver_bot))))
| ssPv4(skf1(skf1(skf1(iProver_bot))))
| ssPv1(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(iProver_bot))),skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot)))))) ),
inference(instantiation,[status(thm)],[c_3901]) ).
tcf(c_3920,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(X0))))
| ssPv4(skf1(skf1(skf1(X0))))
| ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0)))))) ),
inference(instantiation,[status(thm)],[c_2952]) ).
tcf(c_3939,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(X0))))
| ssPv2(skf1(skf1(skf1(X0))))
| ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0)))))) ),
inference(instantiation,[status(thm)],[c_2955]) ).
tcf(c_3978,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv1(X0)
| ssPv3(skf1(X0))
| ssPv1(skf1(skf1(X0)))
| ssPv4(skf1(skf1(skf1(X2))))
| ~ ssRr(X0,X1)
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(X1,skf1(skf1(skf1(X2))))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2957]) ).
tcf(c_3981,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(X0)))
| ssPv4(skf1(skf1(skf1(X0))))
| ~ ssPv1(skf1(X0))
| ~ ssPv4(skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_2959]) ).
tcf(c_3984,plain,
! [X0: $i,X1: $i] :
( ssPv2(skf1(X0))
| ssPv3(skf1(skf1(X0)))
| ssPv4(skf1(skf1(skf1(X1))))
| ~ ssPv3(X0)
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(X0,skf1(skf1(skf1(X1))))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2963]) ).
tcf(c_4004,plain,
! [X0: $i,X1: $i] :
( ssPv2(X0)
| ssPv2(skf1(X0))
| ssPv4(skf1(skf1(skf1(X1))))
| ~ ssPv1(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(X0,skf1(skf1(skf1(X1))))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2965]) ).
tcf(c_4025,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(X0)))
| ssPv3(skf1(skf1(X0)))
| ssPv4(skf1(skf1(skf1(X0))))
| ~ ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0))))) ),
inference(instantiation,[status(thm)],[c_2968]) ).
tcf(c_4046,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(X0)))
| ssPv3(skf1(skf1(X0)))
| ssPv4(skf1(skf1(skf1(X0))))
| ~ ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0))))) ),
inference(instantiation,[status(thm)],[c_2970]) ).
tcf(c_4251,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(X0)
| ssPv1(skf1(X2))
| ssPv4(skf1(skf1(skf1(X1))))
| ~ ssRr(X0,X2)
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(X0,skf1(skf1(skf1(X1))))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2973]) ).
tcf(c_4254,plain,
! [X0: $i,X1: $i] :
( ssPv2(X0)
| ssPv4(skf1(skf1(skf1(X1))))
| ~ ssPv3(X0)
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0)))
| ~ ssRr(skf1(X0),skf1(skf1(skf1(X1)))) ),
inference(instantiation,[status(thm)],[c_2975]) ).
tcf(c_4257,plain,
! [X0: $i,X1: $i] :
( ssPv3(X0)
| ssPv4(X0)
| ssPv4(skf1(skf1(skf1(X1))))
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0)))
| ~ ssRr(skf1(X0),skf1(skf1(skf1(X1)))) ),
inference(instantiation,[status(thm)],[c_2977]) ).
tcf(c_4272,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(skf1(skf1(skf1(X2))))
| ~ ssPv3(X0)
| ~ ssPv3(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(X1,skf1(skf1(skf1(X2))))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2980]) ).
tcf(c_4275,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(skf1(skf1(skf1(X2))))
| ~ ssPv1(X0)
| ~ ssPv3(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssPv1(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(X1,skf1(skf1(skf1(X2))))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2982]) ).
tcf(c_4282,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X0)
| ssPv3(skf1(X0))
| ssPv4(skf1(skf1(skf1(X2))))
| ~ ssRr(X0,X1)
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(X1,skf1(skf1(skf1(X2))))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2989]) ).
tcf(c_4286,plain,
! [X0: $i] : ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0))))))),
inference(instantiation,[status(thm)],[c_2818]) ).
tcf(c_4287,plain,
ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))),
inference(instantiation,[status(thm)],[c_4286]) ).
tcf(c_4288,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv1(skf1(X3))
| ssPv3(skf1(X1))
| ssPv2(skf1(X2))
| ~ ssPv1(skf1(X0))
| ~ ssRr(X3,skf1(X3))
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(X0),X3)
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_3328]) ).
tcf(c_4300,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(skf1(X2))
| ~ ssPv1(skf1(X0))
| ~ ssPv2(skf1(X1))
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),X1)
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_3330]) ).
tcf(c_4318,plain,
! [X0: $i,X1: $i] :
( ssPv2(skf1(skf1(skf1(X0))))
| ~ ssPv1(skf1(X0))
| ~ ssPv4(skf1(X1))
| ~ ssPv4(skf1(X0))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(X0),X1)
| ~ ssRr(skf1(X0),skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_3362]) ).
tcf(c_4321,plain,
! [X0: $i,X1: $i] :
( ssPv1(skf1(skf1(skf1(X0))))
| ~ ssPv1(skf1(X0))
| ~ ssPv3(skf1(X0))
| ~ ssPv4(skf1(X1))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(X0),X1)
| ~ ssRr(skf1(X0),skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_3378]) ).
tcf(c_4325,plain,
! [X0: $i,X1: $i] :
( ssPv3(skf1(skf1(skf1(X0))))
| ~ ssPv1(skf1(X0))
| ~ ssPv3(skf1(X0))
| ~ ssPv2(skf1(X1))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(X0),X1)
| ~ ssRr(skf1(X0),skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_3396]) ).
tcf(c_4349,plain,
! [X0: $i,X1: $i] :
( ssPv2(X0)
| ssPv2(skf1(X0))
| ~ ssPv1(skf1(X1))
| ~ ssPv4(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X1))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_3401]) ).
tcf(c_4364,plain,
! [X0: $i,X1: $i] :
( ssPv3(skf1(X0))
| ssPv3(skf1(skf1(skf1(X0))))
| ~ ssPv1(skf1(X1))
| ~ ssPv4(skf1(X0))
| ~ ssRr(skf1(X0),skf1(X1))
| ~ ssRr(skf1(X0),skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_3404]) ).
tcf(c_4370,plain,
! [X0: $i] :
( ssPv2(X0)
| ssPv1(skf1(X0))
| ~ ssPv4(X0)
| ~ ssPv1(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_3409]) ).
tcf(c_4372,plain,
! [X0: $i,X1: $i] :
( ~ ssPv1(X0)
| ~ ssPv3(X0)
| ~ ssPv1(skf1(X1))
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(X1))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_3428]) ).
tcf(c_4375,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ssPv4(X1)
| ~ ssPv2(X0)
| ~ ssPv1(skf1(X3))
| ~ ssRr(X0,X2)
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssRr(X2,skf1(X3))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),X1)
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_3431]) ).
tcf(c_4413,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(X0))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv1(skf1(skf1(skf1(X0))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0)))))) ),
inference(instantiation,[status(thm)],[c_3461]) ).
tcf(c_4414,plain,
( ssPv4(skf1(skf1(skf1(iProver_bot))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv1(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(iProver_bot))),skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot)))))) ),
inference(instantiation,[status(thm)],[c_4413]) ).
tcf(c_4416,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(X0))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv1(skf1(skf1(skf1(X0))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0)))))) ),
inference(instantiation,[status(thm)],[c_3468]) ).
tcf(c_4426,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(X0))))
| ssPv2(skf1(skf1(skf1(X0))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0)))))) ),
inference(instantiation,[status(thm)],[c_2873]) ).
tcf(c_4429,plain,
( ssPv1(skf1(skf1(skf1(iProver_bot))))
| ssPv2(skf1(skf1(skf1(iProver_bot))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(iProver_bot))),skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot)))))) ),
inference(instantiation,[status(thm)],[c_4426]) ).
tcf(c_4430,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(X0))))
| ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0)))))) ),
inference(instantiation,[status(thm)],[c_2888]) ).
tcf(c_4431,plain,
( ssPv1(skf1(skf1(skf1(iProver_bot))))
| ssPv3(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(iProver_bot))),skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot)))))) ),
inference(instantiation,[status(thm)],[c_4430]) ).
tcf(c_4463,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_3521]) ).
tcf(c_4464,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(X0))))
| ~ ssPv1(skf1(skf1(skf1(X0))))
| ~ ssPv4(skf1(skf1(skf1(X0))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0)))))) ),
inference(instantiation,[status(thm)],[c_3398]) ).
tcf(c_4465,plain,
( ssPv2(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv1(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv4(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(iProver_bot))),skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot)))))) ),
inference(instantiation,[status(thm)],[c_4464]) ).
tcf(c_4466,plain,
( ssPv4(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))) ),
inference(instantiation,[status(thm)],[c_4463]) ).
tcf(c_4467,plain,
! [X0: $i] :
( ~ ssPv4(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0))))))) ),
inference(instantiation,[status(thm)],[c_2832]) ).
tcf(c_4469,plain,
( ~ ssPv4(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv2(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))) ),
inference(instantiation,[status(thm)],[c_4467]) ).
tcf(c_4489,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_2870]) ).
tcf(c_4490,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0))))))) ),
inference(instantiation,[status(thm)],[c_2466]) ).
tcf(c_4491,plain,
( ssPv2(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))) ),
inference(instantiation,[status(thm)],[c_4490]) ).
tcf(c_4492,plain,
( ssPv3(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))) ),
inference(instantiation,[status(thm)],[c_4489]) ).
tcf(c_4493,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0))))))) ),
inference(instantiation,[status(thm)],[c_2703]) ).
tcf(c_4494,plain,
( ssPv3(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv2(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))) ),
inference(instantiation,[status(thm)],[c_4493]) ).
tcf(c_4507,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_3881]) ).
tcf(c_4508,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_2889]) ).
tcf(c_4509,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(X0))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0)))))) ),
inference(instantiation,[status(thm)],[c_2839]) ).
tcf(c_4510,plain,
! [X0: $i] :
( ~ ssPv4(skf1(skf1(skf1(X0))))
| ~ ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0)))))) ),
inference(instantiation,[status(thm)],[c_2837]) ).
tcf(c_4512,plain,
( ~ ssPv4(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv3(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(iProver_bot))),skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot)))))) ),
inference(instantiation,[status(thm)],[c_4510]) ).
tcf(c_4513,plain,
( ssPv2(skf1(skf1(skf1(iProver_bot))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(iProver_bot))),skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot)))))) ),
inference(instantiation,[status(thm)],[c_4509]) ).
tcf(c_4514,plain,
( ssPv2(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))) ),
inference(instantiation,[status(thm)],[c_4508]) ).
tcf(c_4515,plain,
( ssPv4(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))) ),
inference(instantiation,[status(thm)],[c_4507]) ).
tcf(c_4516,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(X0))))
| ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0)))))) ),
inference(instantiation,[status(thm)],[c_2822]) ).
tcf(c_4517,plain,
( ssPv2(skf1(skf1(skf1(iProver_bot))))
| ssPv1(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv2(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(iProver_bot))),skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot)))))) ),
inference(instantiation,[status(thm)],[c_4516]) ).
tcf(c_4538,plain,
! [X0: $i,X1: $i] :
( ssPv1(X0)
| ssPv3(skf1(X0))
| ssPv1(skf1(skf1(X0)))
| ssPv4(skf1(skf1(skf1(X1))))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0)))
| ~ ssRr(skf1(X0),skf1(skf1(skf1(X1)))) ),
inference(instantiation,[status(thm)],[c_3978]) ).
tcf(c_4552,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(X0))))
| ssPv4(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv1(skf1(skf1(X0)))
| ~ ssPv4(skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0))))) ),
inference(instantiation,[status(thm)],[c_3981]) ).
tcf(c_4553,plain,
( ssPv3(skf1(skf1(skf1(iProver_bot))))
| ssPv4(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv1(skf1(skf1(iProver_bot)))
| ~ ssPv4(skf1(skf1(iProver_bot)))
| ~ ssRr(skf1(skf1(iProver_bot)),skf1(skf1(skf1(iProver_bot))))
| ~ ssRr(skf1(skf1(skf1(iProver_bot))),skf1(skf1(skf1(skf1(iProver_bot))))) ),
inference(instantiation,[status(thm)],[c_4552]) ).
tcf(c_4572,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(X0))))
| ssPv2(skf1(skf1(skf1(X0))))
| ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0))))) ),
inference(instantiation,[status(thm)],[c_3984]) ).
tcf(c_4591,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(X0)))
| ssPv4(skf1(skf1(skf1(X0))))
| ssPv2(skf1(skf1(skf1(X0))))
| ~ ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0))))) ),
inference(instantiation,[status(thm)],[c_4004]) ).
tcf(c_4615,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(X0))))
| ssPv3(skf1(skf1(skf1(X0))))
| ssPv4(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0)))))) ),
inference(instantiation,[status(thm)],[c_4025]) ).
tcf(c_4648,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(X0))))
| ssPv3(skf1(skf1(skf1(X0))))
| ssPv4(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0)))))) ),
inference(instantiation,[status(thm)],[c_4046]) ).
tcf(c_4650,plain,
! [X0: $i,X1: $i] :
( ssPv2(X0)
| ssPv1(skf1(skf1(X0)))
| ssPv4(skf1(skf1(skf1(X1))))
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(X0,skf1(skf1(skf1(X1))))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_4251]) ).
tcf(c_4653,plain,
! [X0: $i] :
( ssPv2(skf1(X0))
| ssPv4(skf1(skf1(skf1(X0))))
| ~ ssPv3(skf1(X0))
| ~ ssPv3(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(X0),skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_4254]) ).
tcf(c_4672,plain,
! [X0: $i] :
( ssPv3(skf1(X0))
| ssPv4(skf1(X0))
| ssPv4(skf1(skf1(skf1(X0))))
| ~ ssPv3(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(X0),skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_4257]) ).
tcf(c_4673,plain,
( ssPv3(skf1(iProver_bot))
| ssPv4(skf1(iProver_bot))
| ssPv4(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv3(skf1(skf1(skf1(iProver_bot))))
| ~ ssRr(skf1(iProver_bot),skf1(skf1(iProver_bot)))
| ~ ssRr(skf1(skf1(iProver_bot)),skf1(skf1(skf1(iProver_bot)))) ),
inference(instantiation,[status(thm)],[c_4672]) ).
tcf(c_4677,plain,
! [X0: $i,X1: $i] :
( ssPv4(skf1(skf1(skf1(X1))))
| ~ ssPv3(X0)
| ~ ssPv3(skf1(X0))
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0)))
| ~ ssRr(skf1(X0),skf1(skf1(skf1(X1)))) ),
inference(instantiation,[status(thm)],[c_4272]) ).
tcf(c_4680,plain,
! [X0: $i,X1: $i] :
( ssPv4(skf1(skf1(skf1(X1))))
| ~ ssPv1(X0)
| ~ ssPv3(skf1(X0))
| ~ ssPv1(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0)))
| ~ ssRr(skf1(X0),skf1(skf1(skf1(X1)))) ),
inference(instantiation,[status(thm)],[c_4275]) ).
tcf(c_4690,plain,
! [X0: $i,X1: $i] :
( ssPv3(X0)
| ssPv3(skf1(X0))
| ssPv4(skf1(skf1(skf1(X1))))
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0)))
| ~ ssRr(skf1(X0),skf1(skf1(skf1(X1)))) ),
inference(instantiation,[status(thm)],[c_4282]) ).
tcf(c_4943,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))) ),
inference(instantiation,[status(thm)],[c_3878]) ).
tcf(c_4944,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))) ),
inference(instantiation,[status(thm)],[c_3875]) ).
tcf(c_4945,plain,
( ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))) ),
inference(instantiation,[status(thm)],[c_4944]) ).
tcf(c_4946,plain,
( ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))) ),
inference(instantiation,[status(thm)],[c_4943]) ).
tcf(c_4958,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(skf1(X1))
| ssPv2(skf1(X2))
| ssPv1(skf1(skf1(skf1(X0))))
| ~ ssPv1(skf1(X0))
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),X1)
| ~ ssRr(skf1(X0),skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_4288]) ).
tcf(c_4962,plain,
! [X0: $i,X1: $i] :
( ssPv3(skf1(skf1(skf1(X0))))
| ~ ssPv1(skf1(X0))
| ~ ssPv2(skf1(X1))
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(X0),X1)
| ~ ssRr(skf1(X0),skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_4300]) ).
tcf(c_4968,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(X0))))
| ~ ssPv1(skf1(X0))
| ~ ssPv4(skf1(X0))
| ~ ssPv4(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(X0),skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_4318]) ).
tcf(c_4971,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(X0))))
| ~ ssPv1(skf1(X0))
| ~ ssPv3(skf1(X0))
| ~ ssPv4(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(X0),skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_4321]) ).
tcf(c_4975,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(X0))))
| ~ ssPv1(skf1(X0))
| ~ ssPv3(skf1(X0))
| ~ ssPv2(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(X0),skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_4325]) ).
tcf(c_5022,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv1(X4)
| ssPv4(skf1(skf1(X0)))
| ~ ssPv3(X3)
| ~ ssRr(X2,X4)
| ~ ssRr(X1,X3)
| ~ ssPv1(skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),X2)
| ~ ssRr(skf1(skf1(X0)),X1) ),
inference(instantiation,[status(thm)],[c_128]) ).
tcf(c_5025,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv4(skf1(skf1(X0)))
| ~ ssPv3(X2)
| ~ ssPv4(X3)
| ~ ssRr(X1,X3)
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),X2)
| ~ ssRr(skf1(skf1(X0)),X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_5038,plain,
! [X0: $i,X1: $i] :
( ssPv2(skf1(skf1(skf1(X0))))
| ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv1(skf1(X1))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(X1))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0)))))) ),
inference(instantiation,[status(thm)],[c_4349]) ).
tcf(c_5131,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv4(skf1(X0))
| ~ ssPv3(X4)
| ~ ssPv3(X3)
| ~ ssPv2(X2)
| ~ ssRr(X3,X4)
| ~ ssRr(X3,X1)
| ~ ssRr(X3,X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_146]) ).
tcf(c_5137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv3(X3)
| ssPv4(X3)
| ssPv4(skf1(X0))
| ~ ssPv3(X2)
| ~ ssRr(X3,X1)
| ~ ssRr(X3,X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_5267,plain,
! [X0: $i] :
( ssPv3(skf1(X0))
| ssPv3(skf1(skf1(skf1(X0))))
| ~ ssPv4(skf1(X0))
| ~ ssPv1(skf1(skf1(X0)))
| ~ ssRr(skf1(X0),skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_4364]) ).
tcf(c_5274,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_4370]) ).
tcf(c_5275,plain,
( ssPv2(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))) ),
inference(instantiation,[status(thm)],[c_5274]) ).
tcf(c_5314,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X0)
| ~ ssPv4(X2)
| ~ ssPv2(X0)
| ~ ssPv3(skf1(X0))
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_5342,plain,
! [X0: $i] :
( ~ ssPv1(X0)
| ~ ssPv3(X0)
| ~ ssPv1(skf1(skf1(X0)))
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_4372]) ).
tcf(c_5348,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssPv4(X2)
| ~ ssPv2(X0)
| ~ ssPv1(skf1(X1))
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),skf1(X1))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_4375]) ).
tcf(c_5358,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))) ),
inference(instantiation,[status(thm)],[c_4413]) ).
tcf(c_5359,plain,
( ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))) ),
inference(instantiation,[status(thm)],[c_5358]) ).
tcf(c_5364,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))) ),
inference(instantiation,[status(thm)],[c_4416]) ).
tcf(c_5365,plain,
( ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))) ),
inference(instantiation,[status(thm)],[c_5364]) ).
tcf(c_5517,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_4416]) ).
tcf(c_5519,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_3878]) ).
tcf(c_5520,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_3875]) ).
tcf(c_5521,plain,
( ssPv4(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))) ),
inference(instantiation,[status(thm)],[c_5520]) ).
tcf(c_5522,plain,
( ssPv4(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))) ),
inference(instantiation,[status(thm)],[c_5519]) ).
tcf(c_5524,plain,
( ssPv4(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))) ),
inference(instantiation,[status(thm)],[c_5517]) ).
tcf(c_5571,plain,
! [X0: $i] : ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))),
inference(instantiation,[status(thm)],[c_4286]) ).
tcf(c_5572,plain,
ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))),
inference(instantiation,[status(thm)],[c_5571]) ).
tcf(c_5573,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_4464]) ).
tcf(c_5574,plain,
( ssPv2(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))) ),
inference(instantiation,[status(thm)],[c_5573]) ).
tcf(c_5591,plain,
! [X0: $i] :
( ~ ssPv4(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_4467]) ).
tcf(c_5592,plain,
( ~ ssPv4(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))) ),
inference(instantiation,[status(thm)],[c_5591]) ).
tcf(c_5636,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ssPv4(skf1(skf1(skf1(skf1(X0)))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0))))))) ),
inference(instantiation,[status(thm)],[c_3920]) ).
tcf(c_5637,plain,
( ssPv1(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv4(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))) ),
inference(instantiation,[status(thm)],[c_5636]) ).
tcf(c_5664,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0))))))) ),
inference(instantiation,[status(thm)],[c_4509]) ).
tcf(c_5665,plain,
( ssPv2(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))) ),
inference(instantiation,[status(thm)],[c_5664]) ).
tcf(c_5670,plain,
! [X0: $i] :
( ~ ssPv4(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_4510]) ).
tcf(c_5671,plain,
( ~ ssPv4(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))) ),
inference(instantiation,[status(thm)],[c_5670]) ).
tcf(c_5676,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0))))))) ),
inference(instantiation,[status(thm)],[c_4516]) ).
tcf(c_5677,plain,
( ssPv2(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))) ),
inference(instantiation,[status(thm)],[c_5676]) ).
tcf(c_5678,plain,
! [X0: $i] :
( ssPv1(skf1(X0))
| ssPv3(skf1(skf1(X0)))
| ssPv1(skf1(skf1(skf1(X0))))
| ssPv4(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(X0),skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_4538]) ).
tcf(c_5681,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_4552]) ).
tcf(c_5682,plain,
( ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))) ),
inference(instantiation,[status(thm)],[c_5681]) ).
tcf(c_5703,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(X0))))
| ssPv4(skf1(skf1(skf1(skf1(X0)))))
| ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0)))))) ),
inference(instantiation,[status(thm)],[c_4591]) ).
tcf(c_5704,plain,
( ssPv2(skf1(skf1(skf1(iProver_bot))))
| ssPv4(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv2(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(iProver_bot))),skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot)))))) ),
inference(instantiation,[status(thm)],[c_5703]) ).
tcf(c_5721,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0))))))) ),
inference(instantiation,[status(thm)],[c_4370]) ).
tcf(c_5722,plain,
( ssPv2(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))) ),
inference(instantiation,[status(thm)],[c_5721]) ).
tcf(c_5723,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv4(skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0))))))) ),
inference(instantiation,[status(thm)],[c_4552]) ).
tcf(c_5727,plain,
( ssPv3(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv4(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))) ),
inference(instantiation,[status(thm)],[c_5723]) ).
tcf(c_5728,plain,
! [X0: $i] :
( ~ ssPv4(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0))))))) ),
inference(instantiation,[status(thm)],[c_4510]) ).
tcf(c_5730,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0))))))) ),
inference(instantiation,[status(thm)],[c_2870]) ).
tcf(c_5731,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(X0))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv3(skf1(skf1(skf1(X0))))
| ~ ssPv4(skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0)))))) ),
inference(instantiation,[status(thm)],[c_2466]) ).
tcf(c_5732,plain,
( ssPv2(skf1(skf1(skf1(iProver_bot))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv3(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv4(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssRr(skf1(skf1(skf1(iProver_bot))),skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot)))))) ),
inference(instantiation,[status(thm)],[c_5731]) ).
tcf(c_5733,plain,
( ssPv3(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv2(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))) ),
inference(instantiation,[status(thm)],[c_5730]) ).
tcf(c_5735,plain,
( ~ ssPv4(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))) ),
inference(instantiation,[status(thm)],[c_5728]) ).
tcf(c_5736,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_4615]) ).
tcf(c_5737,plain,
( ssPv1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))) ),
inference(instantiation,[status(thm)],[c_5736]) ).
tcf(c_5793,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_4648]) ).
tcf(c_5795,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(X0)))
| ssPv4(skf1(skf1(skf1(X0))))
| ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0))))) ),
inference(instantiation,[status(thm)],[c_4650]) ).
tcf(c_5815,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(X0)))
| ssPv4(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0))))) ),
inference(instantiation,[status(thm)],[c_4653]) ).
tcf(c_5831,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(X0)))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0))))))) ),
inference(instantiation,[status(thm)],[c_4416]) ).
tcf(c_5832,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(X0)))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0))))))) ),
inference(instantiation,[status(thm)],[c_4413]) ).
tcf(c_5837,plain,
( ssPv4(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))) ),
inference(instantiation,[status(thm)],[c_5832]) ).
tcf(c_5838,plain,
( ssPv4(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))) ),
inference(instantiation,[status(thm)],[c_5831]) ).
tcf(c_5865,plain,
! [X0: $i] :
( ~ ssPv4(skf1(skf1(X0)))
| ~ ssPv3(skf1(skf1(skf1(X0))))
| ~ ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0))))) ),
inference(instantiation,[status(thm)],[c_2837]) ).
tcf(c_5867,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0))))))) ),
inference(instantiation,[status(thm)],[c_3521]) ).
tcf(c_5870,plain,
( ssPv4(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv2(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))) ),
inference(instantiation,[status(thm)],[c_5867]) ).
tcf(c_5871,plain,
( ~ ssPv4(skf1(skf1(iProver_bot)))
| ~ ssPv3(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv3(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv2(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssRr(skf1(skf1(iProver_bot)),skf1(skf1(skf1(iProver_bot))))
| ~ ssRr(skf1(skf1(skf1(iProver_bot))),skf1(skf1(skf1(skf1(iProver_bot))))) ),
inference(instantiation,[status(thm)],[c_5865]) ).
tcf(c_5913,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(X0)))))
| ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv3(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0)))))) ),
inference(instantiation,[status(thm)],[c_4572]) ).
tcf(c_5914,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0))))))) ),
inference(instantiation,[status(thm)],[c_4430]) ).
tcf(c_5915,plain,
( ssPv1(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))) ),
inference(instantiation,[status(thm)],[c_5914]) ).
tcf(c_5937,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(X0))))
| ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv4(skf1(skf1(skf1(X0))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0)))))) ),
inference(instantiation,[status(thm)],[c_4370]) ).
tcf(c_5938,plain,
( ssPv2(skf1(skf1(skf1(iProver_bot))))
| ssPv1(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv4(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(iProver_bot))),skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot)))))) ),
inference(instantiation,[status(thm)],[c_5937]) ).
tcf(c_5940,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv1(skf1(skf1(skf1(X0))))
| ~ ssPv4(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0)))))) ),
inference(instantiation,[status(thm)],[c_4552]) ).
tcf(c_5944,plain,
( ssPv3(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv1(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv4(skf1(skf1(skf1(iProver_bot))))
| ~ ssRr(skf1(skf1(skf1(iProver_bot))),skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot)))))) ),
inference(instantiation,[status(thm)],[c_5940]) ).
tcf(c_5964,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_3901]) ).
tcf(c_5965,plain,
( ssPv1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))) ),
inference(instantiation,[status(thm)],[c_5964]) ).
tcf(c_5994,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ssPv4(skf1(skf1(skf1(skf1(X0)))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0))))))) ),
inference(instantiation,[status(thm)],[c_3901]) ).
tcf(c_5995,plain,
( ssPv1(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv4(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))) ),
inference(instantiation,[status(thm)],[c_5994]) ).
tcf(c_6114,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(X0)))
| ssPv4(skf1(skf1(X0)))
| ssPv4(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0))))) ),
inference(instantiation,[status(thm)],[c_4672]) ).
tcf(c_6115,plain,
( ssPv3(skf1(skf1(iProver_bot)))
| ssPv4(skf1(skf1(iProver_bot)))
| ssPv4(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv3(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssRr(skf1(skf1(iProver_bot)),skf1(skf1(skf1(iProver_bot))))
| ~ ssRr(skf1(skf1(skf1(iProver_bot))),skf1(skf1(skf1(skf1(iProver_bot))))) ),
inference(instantiation,[status(thm)],[c_6114]) ).
tcf(c_6117,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(X0))))
| ~ ssPv3(skf1(X0))
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssPv2(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(X0),skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_4677]) ).
tcf(c_6118,plain,
( ssPv4(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv3(skf1(iProver_bot))
| ~ ssPv3(skf1(skf1(iProver_bot)))
| ~ ssPv2(skf1(skf1(skf1(iProver_bot))))
| ~ ssRr(skf1(iProver_bot),skf1(skf1(iProver_bot)))
| ~ ssRr(skf1(skf1(iProver_bot)),skf1(skf1(skf1(iProver_bot)))) ),
inference(instantiation,[status(thm)],[c_6117]) ).
tcf(c_6121,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(X0))))
| ~ ssPv1(skf1(X0))
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssPv1(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(X0),skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_4680]) ).
tcf(c_6165,plain,
! [X0: $i] :
( ssPv3(skf1(X0))
| ssPv3(skf1(skf1(X0)))
| ssPv4(skf1(skf1(skf1(X0))))
| ~ ssPv2(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(X0),skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_4690]) ).
tcf(c_6175,plain,
! [X0: $i,X1: $i] :
( ssPv3(skf1(X1))
| ssPv1(skf1(skf1(skf1(X0))))
| ssPv2(skf1(skf1(skf1(X0))))
| ~ ssPv1(skf1(X0))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(X0),X1)
| ~ ssRr(skf1(X0),skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_4958]) ).
tcf(c_6179,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(X0))))
| ~ ssPv1(skf1(X0))
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssPv2(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(X0),skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_4962]) ).
tcf(c_6180,plain,
( ssPv3(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv1(skf1(iProver_bot))
| ~ ssPv3(skf1(skf1(iProver_bot)))
| ~ ssPv2(skf1(skf1(skf1(iProver_bot))))
| ~ ssRr(skf1(iProver_bot),skf1(skf1(iProver_bot)))
| ~ ssRr(skf1(skf1(iProver_bot)),skf1(skf1(skf1(iProver_bot)))) ),
inference(instantiation,[status(thm)],[c_6179]) ).
tcf(c_6185,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv1(skf1(skf1(skf1(X0))))
| ~ ssPv4(skf1(skf1(skf1(X0))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0)))))) ),
inference(instantiation,[status(thm)],[c_4968]) ).
tcf(c_6187,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv1(skf1(skf1(X0)))
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssPv4(skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0))))) ),
inference(instantiation,[status(thm)],[c_4971]) ).
tcf(c_6230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv1(skf1(X2))
| ssPv4(skf1(skf1(X0)))
| ~ ssPv3(X3)
| ~ ssRr(X1,X3)
| ~ ssPv1(skf1(skf1(X0)))
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(skf1(skf1(X0)),X2)
| ~ ssRr(skf1(skf1(X0)),X1) ),
inference(instantiation,[status(thm)],[c_5022]) ).
tcf(c_6239,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(skf1(skf1(X0)))
| ~ ssPv3(X2)
| ~ ssPv4(skf1(X1))
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(skf1(X0)),X2)
| ~ ssRr(skf1(skf1(X0)),X1) ),
inference(instantiation,[status(thm)],[c_5025]) ).
tcf(c_6290,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(X0))))
| ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0)))))) ),
inference(instantiation,[status(thm)],[c_5038]) ).
tcf(c_6326,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv4(skf1(X0))
| ~ ssPv3(X1)
| ~ ssPv2(X3)
| ~ ssPv3(skf1(X1))
| ~ ssRr(X2,X3)
| ~ ssRr(X1,X2)
| ~ ssRr(X1,X0)
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_5131]) ).
tcf(c_6331,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X0)
| ssPv4(X0)
| ssPv4(skf1(X2))
| ~ ssPv3(X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_5137]) ).
tcf(c_6422,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(X0))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv4(skf1(skf1(skf1(X0))))
| ~ ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0)))))) ),
inference(instantiation,[status(thm)],[c_5267]) ).
tcf(c_6480,plain,
! [X0: $i,X1: $i] :
( ssPv4(X0)
| ~ ssPv2(X0)
| ~ ssPv3(skf1(X0))
| ~ ssPv4(skf1(X1))
| ~ ssRr(X0,X1)
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_5314]) ).
tcf(c_6509,plain,
! [X0: $i] :
( ~ ssPv1(skf1(X0))
| ~ ssPv3(skf1(X0))
| ~ ssPv1(skf1(skf1(skf1(X0))))
| ~ ssPv3(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(X0),skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_5342]) ).
tcf(c_6525,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0))))))) ),
inference(instantiation,[status(thm)],[c_2889]) ).
tcf(c_6526,plain,
( ssPv2(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))) ),
inference(instantiation,[status(thm)],[c_6525]) ).
tcf(c_6541,plain,
! [X0: $i,X1: $i] :
( ~ ssPv2(X0)
| ~ ssPv1(skf1(X1))
| ~ ssPv4(skf1(skf1(X0)))
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(X1))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_5348]) ).
tcf(c_6935,plain,
! [X0: $i] : ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))),
inference(instantiation,[status(thm)],[c_5571]) ).
tcf(c_6936,plain,
ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))),
inference(instantiation,[status(thm)],[c_6935]) ).
tcf(c_6970,plain,
! [X0: $i] :
( ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))) ),
inference(instantiation,[status(thm)],[c_5591]) ).
tcf(c_6971,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))) ),
inference(instantiation,[status(thm)],[c_5573]) ).
tcf(c_6973,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))) ),
inference(instantiation,[status(thm)],[c_5274]) ).
tcf(c_6974,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))) ),
inference(instantiation,[status(thm)],[c_4489]) ).
tcf(c_6975,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0))))))) ),
inference(instantiation,[status(thm)],[c_4426]) ).
tcf(c_6977,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_4493]) ).
tcf(c_6978,plain,
( ssPv3(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))) ),
inference(instantiation,[status(thm)],[c_6977]) ).
tcf(c_6979,plain,
( ssPv1(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv2(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))) ),
inference(instantiation,[status(thm)],[c_6975]) ).
tcf(c_6980,plain,
( ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))) ),
inference(instantiation,[status(thm)],[c_6974]) ).
tcf(c_6981,plain,
( ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))) ),
inference(instantiation,[status(thm)],[c_6973]) ).
tcf(c_6983,plain,
( ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))) ),
inference(instantiation,[status(thm)],[c_6970]) ).
tcf(c_6984,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_5636]) ).
tcf(c_6985,plain,
( ssPv1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))) ),
inference(instantiation,[status(thm)],[c_6984]) ).
tcf(c_7037,plain,
! [X0: $i] :
( ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))) ),
inference(instantiation,[status(thm)],[c_5670]) ).
tcf(c_7038,plain,
( ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))) ),
inference(instantiation,[status(thm)],[c_7037]) ).
tcf(c_7047,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))) ),
inference(instantiation,[status(thm)],[c_5676]) ).
tcf(c_7048,plain,
( ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))) ),
inference(instantiation,[status(thm)],[c_7047]) ).
tcf(c_7105,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(X0))))
| ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0)))))) ),
inference(instantiation,[status(thm)],[c_5678]) ).
tcf(c_7117,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv1(skf1(skf1(X0)))
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0))))) ),
inference(instantiation,[status(thm)],[c_4975]) ).
tcf(c_7118,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0))))))) ),
inference(instantiation,[status(thm)],[c_4648]) ).
tcf(c_7120,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0))))))) ),
inference(instantiation,[status(thm)],[c_4615]) ).
tcf(c_7122,plain,
( ssPv1(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv3(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))) ),
inference(instantiation,[status(thm)],[c_7120]) ).
tcf(c_7123,plain,
( ssPv1(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv3(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))) ),
inference(instantiation,[status(thm)],[c_7118]) ).
tcf(c_7187,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(X0)))))
| ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0))))))) ),
inference(instantiation,[status(thm)],[c_3939]) ).
tcf(c_7212,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))) ),
inference(instantiation,[status(thm)],[c_5681]) ).
tcf(c_7222,plain,
( ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))) ),
inference(instantiation,[status(thm)],[c_7212]) ).
tcf(c_7239,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_5676]) ).
tcf(c_7240,plain,
( ssPv2(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))) ),
inference(instantiation,[status(thm)],[c_7239]) ).
tcf(c_7268,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_5664]) ).
tcf(c_7269,plain,
( ssPv2(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))) ),
inference(instantiation,[status(thm)],[c_7268]) ).
tcf(c_7291,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0))))))) ),
inference(instantiation,[status(thm)],[c_5703]) ).
tcf(c_7292,plain,
( ssPv2(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))) ),
inference(instantiation,[status(thm)],[c_7291]) ).
tcf(c_7321,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_5731]) ).
tcf(c_7322,plain,
( ssPv2(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))) ),
inference(instantiation,[status(thm)],[c_7321]) ).
tcf(c_7358,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0))))))) ),
inference(instantiation,[status(thm)],[c_5795]) ).
tcf(c_7372,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0))))))) ),
inference(instantiation,[status(thm)],[c_5815]) ).
tcf(c_7427,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))) ),
inference(instantiation,[status(thm)],[c_5867]) ).
tcf(c_7428,plain,
( ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))) ),
inference(instantiation,[status(thm)],[c_7427]) ).
tcf(c_7551,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssPv3(skf1(skf1(skf1(X0))))
| ~ ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0))))) ),
inference(instantiation,[status(thm)],[c_6117]) ).
tcf(c_7552,plain,
( ssPv4(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv3(skf1(skf1(iProver_bot)))
| ~ ssPv3(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv2(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssRr(skf1(skf1(iProver_bot)),skf1(skf1(skf1(iProver_bot))))
| ~ ssRr(skf1(skf1(skf1(iProver_bot))),skf1(skf1(skf1(skf1(iProver_bot))))) ),
inference(instantiation,[status(thm)],[c_7551]) ).
tcf(c_7581,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0))))))) ),
inference(instantiation,[status(thm)],[c_6121]) ).
tcf(c_7582,plain,
( ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))) ),
inference(instantiation,[status(thm)],[c_7581]) ).
tcf(c_7597,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(X0))))
| ssPv3(skf1(skf1(skf1(X0))))
| ssPv2(skf1(skf1(skf1(X0))))
| ~ ssPv1(skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_6175]) ).
tcf(c_7598,plain,
( ssPv1(skf1(skf1(skf1(iProver_bot))))
| ssPv3(skf1(skf1(skf1(iProver_bot))))
| ssPv2(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv1(skf1(iProver_bot))
| ~ ssRr(skf1(iProver_bot),skf1(skf1(iProver_bot)))
| ~ ssRr(skf1(skf1(iProver_bot)),skf1(skf1(skf1(iProver_bot)))) ),
inference(instantiation,[status(thm)],[c_7597]) ).
tcf(c_7625,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))) ),
inference(instantiation,[status(thm)],[c_6185]) ).
tcf(c_7626,plain,
( ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))) ),
inference(instantiation,[status(thm)],[c_7625]) ).
tcf(c_7634,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0))))))) ),
inference(instantiation,[status(thm)],[c_6187]) ).
tcf(c_7635,plain,
( ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv3(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))) ),
inference(instantiation,[status(thm)],[c_7634]) ).
tcf(c_7640,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv1(skf1(X2))
| ssPv4(skf1(skf1(X0)))
| ~ ssPv3(skf1(X1))
| ~ ssPv1(skf1(skf1(X0)))
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(skf1(X0)),X2)
| ~ ssRr(skf1(skf1(X0)),X1) ),
inference(instantiation,[status(thm)],[c_6230]) ).
tcf(c_7668,plain,
! [X0: $i,X1: $i] :
( ssPv4(skf1(skf1(X0)))
| ~ ssPv4(skf1(X1))
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssRr(X1,skf1(X1))
| ~ ssPv3(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(X0)),X1)
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_6239]) ).
tcf(c_7731,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_6290]) ).
tcf(c_7732,plain,
( ssPv2(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))) ),
inference(instantiation,[status(thm)],[c_7731]) ).
tcf(c_7764,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(skf1(X0))
| ~ ssPv3(X1)
| ~ ssPv3(skf1(X1))
| ~ ssPv2(skf1(X2))
| ~ ssRr(X1,X2)
| ~ ssRr(X1,X0)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_6326]) ).
tcf(c_7769,plain,
! [X0: $i,X1: $i] :
( ssPv3(X0)
| ssPv4(X0)
| ssPv4(skf1(skf1(X0)))
| ~ ssPv3(X1)
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),X1)
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_6331]) ).
tcf(c_7866,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv4(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0))))))) ),
inference(instantiation,[status(thm)],[c_6185]) ).
tcf(c_7867,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv1(skf1(skf1(X0)))
| ~ ssPv3(skf1(skf1(skf1(X0))))
| ~ ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0))))) ),
inference(instantiation,[status(thm)],[c_6121]) ).
tcf(c_7875,plain,
( ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv4(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))) ),
inference(instantiation,[status(thm)],[c_7866]) ).
tcf(c_7947,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0))))))) ),
inference(instantiation,[status(thm)],[c_6165]) ).
tcf(c_7948,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_6114]) ).
tcf(c_7960,plain,
( ssPv3(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))) ),
inference(instantiation,[status(thm)],[c_7948]) ).
tcf(c_7961,plain,
( ssPv3(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))) ),
inference(instantiation,[status(thm)],[c_7947]) ).
tcf(c_7998,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))) ),
inference(instantiation,[status(thm)],[c_4508]) ).
tcf(c_7999,plain,
( ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))) ),
inference(instantiation,[status(thm)],[c_7998]) ).
tcf(c_8015,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))) ),
inference(instantiation,[status(thm)],[c_4507]) ).
tcf(c_8016,plain,
( ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))) ),
inference(instantiation,[status(thm)],[c_8015]) ).
tcf(c_8065,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(X0))))
| ssPv4(skf1(skf1(skf1(X0))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0)))))) ),
inference(instantiation,[status(thm)],[c_6114]) ).
tcf(c_8077,plain,
( ssPv3(skf1(skf1(skf1(iProver_bot))))
| ssPv4(skf1(skf1(skf1(iProver_bot))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(iProver_bot))),skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot)))))) ),
inference(instantiation,[status(thm)],[c_8065]) ).
tcf(c_8111,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(X0)))
| ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv2(skf1(skf1(skf1(X0))))
| ~ ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0))))) ),
inference(instantiation,[status(thm)],[c_2839]) ).
tcf(c_8112,plain,
( ssPv2(skf1(skf1(iProver_bot)))
| ssPv1(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv2(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv3(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssRr(skf1(skf1(iProver_bot)),skf1(skf1(skf1(iProver_bot))))
| ~ ssRr(skf1(skf1(skf1(iProver_bot))),skf1(skf1(skf1(skf1(iProver_bot))))) ),
inference(instantiation,[status(thm)],[c_8111]) ).
tcf(c_8144,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0))))))) ),
inference(instantiation,[status(thm)],[c_5913]) ).
tcf(c_8145,plain,
( ssPv4(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))) ),
inference(instantiation,[status(thm)],[c_8144]) ).
tcf(c_8161,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_5914]) ).
tcf(c_8162,plain,
( ssPv1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))) ),
inference(instantiation,[status(thm)],[c_8161]) ).
tcf(c_8213,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0))))))) ),
inference(instantiation,[status(thm)],[c_6179]) ).
tcf(c_8214,plain,
( ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))) ),
inference(instantiation,[status(thm)],[c_8213]) ).
tcf(c_8316,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0))))))) ),
inference(instantiation,[status(thm)],[c_6422]) ).
tcf(c_8317,plain,
( ssPv3(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))) ),
inference(instantiation,[status(thm)],[c_8316]) ).
tcf(c_8538,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0))))))) ),
inference(instantiation,[status(thm)],[c_6290]) ).
tcf(c_8539,plain,
( ssPv2(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))) ),
inference(instantiation,[status(thm)],[c_8538]) ).
tcf(c_8803,plain,
! [X0: $i] :
( ssPv4(X0)
| ~ ssPv2(X0)
| ~ ssPv3(skf1(X0))
| ~ ssPv4(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_6480]) ).
tcf(c_8804,plain,
( ssPv4(iProver_bot)
| ~ ssPv2(iProver_bot)
| ~ ssPv3(skf1(iProver_bot))
| ~ ssPv4(skf1(skf1(iProver_bot)))
| ~ ssRr(iProver_bot,skf1(iProver_bot))
| ~ ssRr(skf1(iProver_bot),skf1(skf1(iProver_bot))) ),
inference(instantiation,[status(thm)],[c_8803]) ).
tcf(c_8852,plain,
! [X0: $i] :
( ~ ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0))))))) ),
inference(instantiation,[status(thm)],[c_6509]) ).
tcf(c_8853,plain,
( ~ ssPv1(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv3(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))) ),
inference(instantiation,[status(thm)],[c_8852]) ).
tcf(c_8877,plain,
! [X0: $i] :
( ~ ssPv2(X0)
| ~ ssPv1(skf1(skf1(X0)))
| ~ ssPv4(skf1(skf1(X0)))
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_6541]) ).
tcf(c_9573,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))) ),
inference(instantiation,[status(thm)],[c_3249]) ).
tcf(c_9835,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))) ),
inference(instantiation,[status(thm)],[c_4490]) ).
tcf(c_9836,plain,
( ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))) ),
inference(instantiation,[status(thm)],[c_9835]) ).
tcf(c_9876,plain,
! [X0: $i] :
( ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_6970]) ).
tcf(c_9877,plain,
( ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))) ),
inference(instantiation,[status(thm)],[c_9876]) ).
tcf(c_9915,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_6975]) ).
tcf(c_9916,plain,
( ssPv1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))) ),
inference(instantiation,[status(thm)],[c_9915]) ).
tcf(c_9930,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))) ),
inference(instantiation,[status(thm)],[c_6977]) ).
tcf(c_9931,plain,
( ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))) ),
inference(instantiation,[status(thm)],[c_9930]) ).
tcf(c_9960,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))) ),
inference(instantiation,[status(thm)],[c_6984]) ).
tcf(c_9961,plain,
( ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))) ),
inference(instantiation,[status(thm)],[c_9960]) ).
tcf(c_9993,plain,
! [X0: $i] :
( ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_7037]) ).
tcf(c_9994,plain,
( ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))) ),
inference(instantiation,[status(thm)],[c_9993]) ).
tcf(c_10021,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0))))))) ),
inference(instantiation,[status(thm)],[c_7105]) ).
tcf(c_10022,plain,
( ssPv1(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))) ),
inference(instantiation,[status(thm)],[c_10021]) ).
tcf(c_10025,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0))))))) ),
inference(instantiation,[status(thm)],[c_7117]) ).
tcf(c_10026,plain,
( ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv3(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))) ),
inference(instantiation,[status(thm)],[c_10025]) ).
tcf(c_10064,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))) ),
inference(instantiation,[status(thm)],[c_7187]) ).
tcf(c_10065,plain,
( ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))) ),
inference(instantiation,[status(thm)],[c_10064]) ).
tcf(c_10195,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0))))))) ),
inference(instantiation,[status(thm)],[c_7551]) ).
tcf(c_10196,plain,
( ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))) ),
inference(instantiation,[status(thm)],[c_10195]) ).
tcf(c_10224,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0))))))) ),
inference(instantiation,[status(thm)],[c_7597]) ).
tcf(c_10225,plain,
( ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))) ),
inference(instantiation,[status(thm)],[c_10224]) ).
tcf(c_10249,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_7634]) ).
tcf(c_10250,plain,
( ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))) ),
inference(instantiation,[status(thm)],[c_10249]) ).
tcf(c_10257,plain,
! [X0: $i,X1: $i] :
( ssPv4(skf1(skf1(X0)))
| ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv3(skf1(X1))
| ~ ssPv1(skf1(skf1(X0)))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(skf1(X0)),X1)
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0))))) ),
inference(instantiation,[status(thm)],[c_7640]) ).
tcf(c_10301,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(X0)))
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssPv3(skf1(skf1(skf1(X0))))
| ~ ssPv4(skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0))))) ),
inference(instantiation,[status(thm)],[c_7668]) ).
tcf(c_10302,plain,
( ssPv4(skf1(skf1(iProver_bot)))
| ~ ssPv2(skf1(skf1(iProver_bot)))
| ~ ssPv3(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv4(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssRr(skf1(skf1(iProver_bot)),skf1(skf1(skf1(iProver_bot))))
| ~ ssRr(skf1(skf1(skf1(iProver_bot))),skf1(skf1(skf1(skf1(iProver_bot))))) ),
inference(instantiation,[status(thm)],[c_10301]) ).
tcf(c_10395,plain,
! [X0: $i,X1: $i] :
( ssPv4(skf1(X1))
| ~ ssPv3(X0)
| ~ ssPv3(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_7764]) ).
tcf(c_10401,plain,
! [X0: $i] :
( ssPv3(X0)
| ssPv4(X0)
| ssPv4(skf1(skf1(X0)))
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_7769]) ).
tcf(c_10402,plain,
( ssPv3(iProver_bot)
| ssPv4(iProver_bot)
| ssPv4(skf1(skf1(iProver_bot)))
| ~ ssPv3(skf1(skf1(iProver_bot)))
| ~ ssRr(iProver_bot,skf1(iProver_bot))
| ~ ssRr(skf1(iProver_bot),skf1(skf1(iProver_bot))) ),
inference(instantiation,[status(thm)],[c_10401]) ).
tcf(c_10598,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))) ),
inference(instantiation,[status(thm)],[c_7372]) ).
tcf(c_10599,plain,
( ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))) ),
inference(instantiation,[status(thm)],[c_10598]) ).
tcf(c_10632,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))) ),
inference(instantiation,[status(thm)],[c_7948]) ).
tcf(c_10633,plain,
( ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))) ),
inference(instantiation,[status(thm)],[c_10632]) ).
tcf(c_10672,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_7625]) ).
tcf(c_10673,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))) ),
inference(instantiation,[status(thm)],[c_7581]) ).
tcf(c_10674,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))) ),
inference(instantiation,[status(thm)],[c_7291]) ).
tcf(c_10675,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_7212]) ).
tcf(c_10676,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_6971]) ).
tcf(c_10681,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_5358]) ).
tcf(c_10682,plain,
( ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))))) ),
inference(instantiation,[status(thm)],[c_10681]) ).
tcf(c_10684,plain,
( ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))))) ),
inference(instantiation,[status(thm)],[c_10676]) ).
tcf(c_10685,plain,
( ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))))) ),
inference(instantiation,[status(thm)],[c_10675]) ).
tcf(c_10686,plain,
( ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))) ),
inference(instantiation,[status(thm)],[c_10674]) ).
tcf(c_10687,plain,
( ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))) ),
inference(instantiation,[status(thm)],[c_10673]) ).
tcf(c_10688,plain,
( ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))))) ),
inference(instantiation,[status(thm)],[c_10672]) ).
tcf(c_10785,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ssPv4(skf1(skf1(skf1(skf1(X0)))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0))))))) ),
inference(instantiation,[status(thm)],[c_8065]) ).
tcf(c_10786,plain,
( ssPv3(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv4(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))) ),
inference(instantiation,[status(thm)],[c_10785]) ).
tcf(c_10818,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_8144]) ).
tcf(c_10819,plain,
( ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))) ),
inference(instantiation,[status(thm)],[c_10818]) ).
tcf(c_10965,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))) ),
inference(instantiation,[status(thm)],[c_8213]) ).
tcf(c_10966,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))) ),
inference(instantiation,[status(thm)],[c_7947]) ).
tcf(c_10968,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))) ),
inference(instantiation,[status(thm)],[c_7358]) ).
tcf(c_10980,plain,
( ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))) ),
inference(instantiation,[status(thm)],[c_10966]) ).
tcf(c_10981,plain,
( ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))) ),
inference(instantiation,[status(thm)],[c_10965]) ).
tcf(c_11152,plain,
! [X0: $i] :
( ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))) ),
inference(instantiation,[status(thm)],[c_8852]) ).
tcf(c_11153,plain,
( ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))) ),
inference(instantiation,[status(thm)],[c_11152]) ).
tcf(c_11154,plain,
! [X0: $i] :
( ~ ssPv2(skf1(skf1(X0)))
| ~ ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv4(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0))))) ),
inference(instantiation,[status(thm)],[c_8877]) ).
tcf(c_11162,plain,
! [X0: $i] : ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))),
inference(instantiation,[status(thm)],[c_6935]) ).
tcf(c_11163,plain,
ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))),
inference(instantiation,[status(thm)],[c_11162]) ).
tcf(c_11213,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))) ),
inference(instantiation,[status(thm)],[c_5793]) ).
tcf(c_11218,plain,
( ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))) ),
inference(instantiation,[status(thm)],[c_11213]) ).
tcf(c_11229,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_6973]) ).
tcf(c_11230,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_7866]) ).
tcf(c_11241,plain,
( ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))) ),
inference(instantiation,[status(thm)],[c_11230]) ).
tcf(c_11242,plain,
( ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))) ),
inference(instantiation,[status(thm)],[c_11229]) ).
tcf(c_11495,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_8015]) ).
tcf(c_11496,plain,
( ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))) ),
inference(instantiation,[status(thm)],[c_11495]) ).
tcf(c_11534,plain,
! [X0: $i] :
( ssPv4(skf1(X0))
| ~ ssPv2(skf1(X0))
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssPv4(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(X0),skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_8803]) ).
tcf(c_11535,plain,
( ssPv4(skf1(iProver_bot))
| ~ ssPv2(skf1(iProver_bot))
| ~ ssPv3(skf1(skf1(iProver_bot)))
| ~ ssPv4(skf1(skf1(skf1(iProver_bot))))
| ~ ssRr(skf1(iProver_bot),skf1(skf1(iProver_bot)))
| ~ ssRr(skf1(skf1(iProver_bot)),skf1(skf1(skf1(iProver_bot)))) ),
inference(instantiation,[status(thm)],[c_11534]) ).
tcf(c_11879,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_7291]) ).
tcf(c_11880,plain,
( ssPv2(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))) ),
inference(instantiation,[status(thm)],[c_11879]) ).
tcf(c_11882,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_7581]) ).
tcf(c_11883,plain,
( ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))) ),
inference(instantiation,[status(thm)],[c_11882]) ).
tcf(c_11917,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_7625]) ).
tcf(c_11918,plain,
( ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))) ),
inference(instantiation,[status(thm)],[c_11917]) ).
tcf(c_11937,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))) ),
inference(instantiation,[status(thm)],[c_7731]) ).
tcf(c_11938,plain,
( ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))) ),
inference(instantiation,[status(thm)],[c_11937]) ).
tcf(c_11990,plain,
! [X0: $i] :
( ~ ssPv1(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_8852]) ).
tcf(c_11991,plain,
( ~ ssPv1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))) ),
inference(instantiation,[status(thm)],[c_11990]) ).
tcf(c_12088,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_7998]) ).
tcf(c_12089,plain,
( ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))))) ),
inference(instantiation,[status(thm)],[c_12088]) ).
tcf(c_12090,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_8316]) ).
tcf(c_12096,plain,
( ssPv3(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))) ),
inference(instantiation,[status(thm)],[c_12090]) ).
tcf(c_12153,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_7998]) ).
tcf(c_12154,plain,
( ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))) ),
inference(instantiation,[status(thm)],[c_12153]) ).
tcf(c_12477,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_4944]) ).
tcf(c_12479,plain,
( ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))) ),
inference(instantiation,[status(thm)],[c_12477]) ).
tcf(c_12509,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv3(skf1(skf1(skf1(X0))))
| ~ ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0)))))) ),
inference(instantiation,[status(thm)],[c_7551]) ).
tcf(c_12510,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_7187]) ).
tcf(c_12520,plain,
( ssPv4(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))) ),
inference(instantiation,[status(thm)],[c_12510]) ).
tcf(c_12521,plain,
( ssPv4(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv3(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv3(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(iProver_bot))),skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot)))))) ),
inference(instantiation,[status(thm)],[c_12509]) ).
tcf(c_12615,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv1(skf1(skf1(skf1(X0))))
| ~ ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0)))))) ),
inference(instantiation,[status(thm)],[c_6179]) ).
tcf(c_12616,plain,
( ssPv3(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv1(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv3(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(iProver_bot))),skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot)))))) ),
inference(instantiation,[status(thm)],[c_12615]) ).
tcf(c_12622,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv1(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0)))))) ),
inference(instantiation,[status(thm)],[c_7597]) ).
tcf(c_12623,plain,
( ssPv1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv1(skf1(skf1(skf1(iProver_bot))))
| ~ ssRr(skf1(skf1(skf1(iProver_bot))),skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot)))))) ),
inference(instantiation,[status(thm)],[c_12622]) ).
tcf(c_13026,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_7947]) ).
tcf(c_13027,plain,
( ssPv3(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))) ),
inference(instantiation,[status(thm)],[c_13026]) ).
tcf(c_13215,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))) ),
inference(instantiation,[status(thm)],[c_8161]) ).
tcf(c_13216,plain,
( ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))) ),
inference(instantiation,[status(thm)],[c_13215]) ).
tcf(c_13259,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_3249]) ).
tcf(c_13260,plain,
( ssPv2(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))) ),
inference(instantiation,[status(thm)],[c_13259]) ).
tcf(c_13282,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_7372]) ).
tcf(c_13283,plain,
( ssPv2(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))) ),
inference(instantiation,[status(thm)],[c_13282]) ).
tcf(c_13408,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_9960]) ).
tcf(c_13409,plain,
( ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))) ),
inference(instantiation,[status(thm)],[c_13408]) ).
tcf(c_13447,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_9573]) ).
tcf(c_13448,plain,
( ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))))) ),
inference(instantiation,[status(thm)],[c_13447]) ).
tcf(c_13452,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_5358]) ).
tcf(c_13454,plain,
( ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))) ),
inference(instantiation,[status(thm)],[c_13452]) ).
tcf(c_13495,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))) ),
inference(instantiation,[status(thm)],[c_10025]) ).
tcf(c_13496,plain,
( ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))) ),
inference(instantiation,[status(thm)],[c_13495]) ).
tcf(c_13504,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_10064]) ).
tcf(c_13505,plain,
( ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))))) ),
inference(instantiation,[status(thm)],[c_13504]) ).
tcf(c_13520,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))) ),
inference(instantiation,[status(thm)],[c_10224]) ).
tcf(c_13521,plain,
( ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))) ),
inference(instantiation,[status(thm)],[c_13520]) ).
tcf(c_13523,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))) ),
inference(instantiation,[status(thm)],[c_10249]) ).
tcf(c_13524,plain,
( ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))) ),
inference(instantiation,[status(thm)],[c_13523]) ).
tcf(c_13532,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(X0)))
| ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv1(skf1(skf1(X0)))
| ~ ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0))))) ),
inference(instantiation,[status(thm)],[c_10257]) ).
tcf(c_13533,plain,
( ssPv4(skf1(skf1(iProver_bot)))
| ssPv1(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv1(skf1(skf1(iProver_bot)))
| ~ ssPv3(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssRr(skf1(skf1(iProver_bot)),skf1(skf1(skf1(iProver_bot))))
| ~ ssRr(skf1(skf1(skf1(iProver_bot))),skf1(skf1(skf1(skf1(iProver_bot))))) ),
inference(instantiation,[status(thm)],[c_13532]) ).
tcf(c_13632,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(X0)))
| ~ ssPv3(X0)
| ~ ssPv3(skf1(X0))
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_10395]) ).
tcf(c_13633,plain,
( ssPv4(skf1(skf1(iProver_bot)))
| ~ ssPv3(iProver_bot)
| ~ ssPv3(skf1(iProver_bot))
| ~ ssPv2(skf1(skf1(iProver_bot)))
| ~ ssRr(iProver_bot,skf1(iProver_bot))
| ~ ssRr(skf1(iProver_bot),skf1(skf1(iProver_bot))) ),
inference(instantiation,[status(thm)],[c_13632]) ).
tcf(c_13688,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_10598]) ).
tcf(c_13689,plain,
( ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))))) ),
inference(instantiation,[status(thm)],[c_13688]) ).
tcf(c_13712,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_10598]) ).
tcf(c_13713,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_10064]) ).
tcf(c_13722,plain,
( ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))) ),
inference(instantiation,[status(thm)],[c_13713]) ).
tcf(c_13723,plain,
( ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))) ),
inference(instantiation,[status(thm)],[c_13712]) ).
tcf(c_14110,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_10195]) ).
tcf(c_14122,plain,
( ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))) ),
inference(instantiation,[status(thm)],[c_14110]) ).
tcf(c_14135,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv1(skf1(skf1(X0)))
| ~ ssPv3(skf1(skf1(skf1(X0))))
| ~ ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0))))) ),
inference(instantiation,[status(thm)],[c_6179]) ).
tcf(c_14136,plain,
( ssPv3(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv1(skf1(skf1(iProver_bot)))
| ~ ssPv3(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv2(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssRr(skf1(skf1(iProver_bot)),skf1(skf1(skf1(iProver_bot))))
| ~ ssRr(skf1(skf1(skf1(iProver_bot))),skf1(skf1(skf1(skf1(iProver_bot))))) ),
inference(instantiation,[status(thm)],[c_14135]) ).
tcf(c_14149,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv1(skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0))))) ),
inference(instantiation,[status(thm)],[c_7597]) ).
tcf(c_14150,plain,
( ssPv1(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv3(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv2(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv1(skf1(skf1(iProver_bot)))
| ~ ssRr(skf1(skf1(iProver_bot)),skf1(skf1(skf1(iProver_bot))))
| ~ ssRr(skf1(skf1(skf1(iProver_bot))),skf1(skf1(skf1(skf1(iProver_bot))))) ),
inference(instantiation,[status(thm)],[c_14149]) ).
tcf(c_14510,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_10224]) ).
tcf(c_14513,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_8213]) ).
tcf(c_14518,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv1(skf1(skf1(skf1(X0))))
| ~ ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0)))))) ),
inference(instantiation,[status(thm)],[c_7867]) ).
tcf(c_14524,plain,
( ssPv4(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv1(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv3(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(iProver_bot))),skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot)))))) ),
inference(instantiation,[status(thm)],[c_14518]) ).
tcf(c_14525,plain,
( ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))) ),
inference(instantiation,[status(thm)],[c_14513]) ).
tcf(c_14527,plain,
( ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))) ),
inference(instantiation,[status(thm)],[c_14510]) ).
tcf(c_15008,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_10632]) ).
tcf(c_15009,plain,
( ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))) ),
inference(instantiation,[status(thm)],[c_15008]) ).
tcf(c_15077,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))) ),
inference(instantiation,[status(thm)],[c_10818]) ).
tcf(c_15078,plain,
( ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))) ),
inference(instantiation,[status(thm)],[c_15077]) ).
tcf(c_15141,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_10968]) ).
tcf(c_15142,plain,
( ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))
| ~ ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))))) ),
inference(instantiation,[status(thm)],[c_15141]) ).
tcf(c_15275,plain,
! [X0: $i] :
( ~ ssPv2(skf1(skf1(skf1(X0))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0)))))) ),
inference(instantiation,[status(thm)],[c_11154]) ).
tcf(c_15276,plain,
( ~ ssPv2(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssRr(skf1(skf1(skf1(iProver_bot))),skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot)))))) ),
inference(instantiation,[status(thm)],[c_15275]) ).
tcf(c_15707,plain,
! [X0: $i] : ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))))),
inference(instantiation,[status(thm)],[c_11162]) ).
tcf(c_15708,plain,
ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))))),
inference(instantiation,[status(thm)],[c_15707]) ).
tcf(c_15733,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_15708,c_15276,c_15142,c_15078,c_15009,c_14527,c_14525,c_14524,c_14150,c_14136,c_14122,c_13723,c_13722,c_13689,c_13633,c_13533,c_13524,c_13521,c_13505,c_13496,c_13454,c_13448,c_13409,c_13283,c_13260,c_13216,c_13027,c_12623,c_12616,c_12521,c_12520,c_12479,c_12154,c_12096,c_12089,c_11991,c_11938,c_11918,c_11883,c_11880,c_11535,c_11496,c_11242,c_11241,c_11218,c_11163,c_11153,c_10981,c_10980,c_10819,c_10786,c_10688,c_10687,c_10686,c_10685,c_10684,c_10682,c_10633,c_10599,c_10402,c_10302,c_10250,c_10225,c_10196,c_10065,c_10026,c_10022,c_9994,c_9961,c_9931,c_9916,c_9877,c_9836,c_8853,c_8804,c_8539,c_8317,c_8214,c_8162,c_8145,c_8112,c_8077,c_8016,c_7999,c_7961,c_7960,c_7875,c_7732,c_7635,c_7626,c_7598,c_7582,c_7552,c_7428,c_7322,c_7292,c_7269,c_7240,c_7222,c_7123,c_7122,c_7048,c_7038,c_6985,c_6983,c_6981,c_6980,c_6979,c_6978,c_6936,c_6526,c_6180,c_6118,c_6115,c_5995,c_5965,c_5944,c_5938,c_5915,c_5871,c_5870,c_5838,c_5837,c_5737,c_5735,c_5733,c_5732,c_5727,c_5722,c_5704,c_5682,c_5677,c_5671,c_5665,c_5637,c_5592,c_5574,c_5572,c_5524,c_5522,c_5521,c_5365,c_5359,c_5275,c_4946,c_4945,c_4673,c_4553,c_4517,c_4515,c_4514,c_4513,c_4512,c_4494,c_4492,c_4491,c_4469,c_4466,c_4465,c_4431,c_4429,c_4414,c_4287,c_3902,c_3879,c_3522,c_2890,c_2876,c_2833,c_2823,c_2819,c_2713,c_2706,c_2704,c_2645,c_2641,c_2637,c_2625,c_2610,c_2569,c_2467,c_2396,c_2395,c_2393,c_1962,c_1890,c_1881,c_1848,c_1830,c_1758,c_151]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN758-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n015.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 02:18:58 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.41 % Detected problem language: tptp
% 0.10/0.42 % Proving...
% 8.08/1.72 % SZS status Started for theBenchmark.p
% 8.08/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 8.08/1.72
% 8.08/1.72 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 8.08/1.72
% 8.08/1.72 % ------ iProver source info
% 8.08/1.72
% 8.08/1.72 % git: date: 2026-07-19 20:42:38 +0200
% 8.08/1.72 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 8.08/1.72 % git: non_committed_changes: false
% 8.08/1.72
% 8.08/1.72 % ------ Parsing...% successful
% 8.08/1.72
% 8.08/1.72
% 8.08/1.72 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 8.08/1.72
% 8.08/1.72 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 8.08/1.72
% 8.08/1.72 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 8.08/1.72 % ------ Proving...
% 8.08/1.72 % ------ Problem Properties
% 8.08/1.72
% 8.08/1.72 %
% 8.08/1.72 % clauses 50
% 8.08/1.72 % conjectures 50
% 8.08/1.72 % EPR 49
% 8.08/1.72 % Horn 17
% 8.08/1.72 % unary 1
% 8.08/1.72 % binary 0
% 8.08/1.72 % lits 389
% 8.08/1.72 % lits eq 0
% 8.08/1.72 % fd_pure 0
% 8.08/1.72 % fd_pseudo 0
% 8.08/1.72 % fd_cond 0
% 8.08/1.72 % fd_pseudo_cond 0
% 8.08/1.72 % AC symbols 0
% 8.08/1.72
% 8.08/1.72 % ------ Input Options Time Limit: Unbounded
% 8.08/1.72
% 8.08/1.72
% 8.08/1.72 % ------
% 8.08/1.72 % Current options:
% 8.08/1.72 % ------
% 8.08/1.72
% 8.08/1.72
% 8.08/1.72 %
% 8.08/1.72
% 8.08/1.72 % ------ Proving...
% 8.08/1.72 %
% 8.08/1.72
% 8.08/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 8.08/1.72
% 8.08/1.72 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.08/1.74
% 8.08/1.74
%------------------------------------------------------------------------------