%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN759-1 : 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 : n007.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 7.17s 1.64s
% Output : CNFRefutation 7.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 41
% Syntax : Number of formulae : 778 ( 18 unt; 0 def)
% Number of atoms : 6207 ( 0 equ)
% Maximal formula atoms : 10 ( 7 avg)
% Number of connectives : 7838 (3486 ~;4352 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 9 avg)
% Maximal term depth : 9 ( 2 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 : 1784 ( 0 sgn1784 !; 0 ?;1577 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : ssRr(X0,skf1(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f2,negated_conjecture,
! [X2,X3,X0,X1] :
( ssPv3(X2)
| ssPv2(X2)
| ssPv2(X3)
| ssPv1(X1)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
fof(f3,negated_conjecture,
! [X2,X3,X0,X1] :
( ssPv4(X2)
| ssPv3(X2)
| ssPv1(X1)
| ~ ssPv1(X3)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f5,negated_conjecture,
! [X2,X3,X0,X1] :
( ssPv4(X2)
| ssPv2(X2)
| ssPv2(X1)
| ~ ssPv3(X3)
| ~ 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)
| ssPv3(X3)
| ssPv3(X1)
| ~ ssPv3(X2)
| ~ 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)
| ssPv3(X1)
| ~ ssPv1(X2)
| ~ ssPv4(X3)
| ~ 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] :
( ssPv1(X2)
| ssPv4(X1)
| ~ ssPv4(X2)
| ~ ssPv3(X3)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f9,negated_conjecture,
! [X2,X3,X0,X1] :
( ssPv3(X2)
| ~ ssPv4(X2)
| ~ ssPv1(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] :
( ssPv1(X2)
| ~ ssPv3(X2)
| ~ ssPv2(X3)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).
fof(f11,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ssPv3(X2)
| ssPv2(X4)
| ssPv3(X1)
| ~ ssPv1(X2)
| ~ ssRr(X2,X3)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).
fof(f12,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ssPv4(X2)
| ssPv1(X4)
| ssPv4(X1)
| ~ ssPv3(X2)
| ~ ssRr(X2,X3)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).
fof(f13,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ssPv1(X2)
| ssPv2(X4)
| ssPv3(X3)
| ~ ssRr(X2,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).
fof(f14,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ssPv4(X2)
| ssPv3(X4)
| ssPv4(X1)
| ~ ssRr(X2,X4)
| ~ ssPv2(X3)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause14) ).
fof(f15,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ssPv4(X2)
| ssPv2(X4)
| ssPv2(X1)
| ~ ssRr(X2,X4)
| ~ ssPv3(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,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',clause16) ).
fof(f17,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ssPv3(X4)
| ssPv3(X1)
| ~ ssPv4(X2)
| ~ ssRr(X2,X4)
| ~ ssPv2(X3)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause17) ).
fof(f18,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ssPv4(X4)
| ssPv2(X1)
| ~ ssPv3(X2)
| ~ ssRr(X2,X4)
| ~ ssPv2(X3)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause18) ).
fof(f19,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ssPv3(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',clause19) ).
fof(f20,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ssPv1(X2)
| ssPv1(X4)
| ~ ssRr(X2,X4)
| ~ ssPv3(X3)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).
fof(f21,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ssPv2(X4)
| ssPv4(X1)
| ~ ssPv3(X2)
| ~ ssPv2(X2)
| ~ ssRr(X2,X3)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause21) ).
fof(f22,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ssPv2(X4)
| ssPv3(X1)
| ~ ssPv4(X2)
| ~ ssPv1(X2)
| ~ ssRr(X2,X3)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause22) ).
fof(f23,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ssPv1(X2)
| ssPv3(X4)
| ~ ssPv2(X2)
| ~ ssRr(X2,X3)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X0)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).
fof(f24,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ssPv3(X2)
| ssPv1(X2)
| ~ ssRr(X2,X3)
| ~ ssPv2(X4)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).
fof(f25,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ssPv4(X2)
| ssPv3(X4)
| ~ ssPv1(X2)
| ~ ssRr(X2,X3)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X0)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause25) ).
fof(f26,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ssPv2(X2)
| ~ ssPv3(X4)
| ~ ssRr(X2,X4)
| ~ ssPv4(X3)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).
fof(f27,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ssPv2(X4)
| ~ ssPv4(X2)
| ~ ssPv3(X2)
| ~ ssRr(X2,X3)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X0)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).
fof(f28,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ssPv2(X2)
| ~ ssPv3(X4)
| ~ ssRr(X2,X4)
| ~ ssPv4(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] :
( ~ ssPv1(X2)
| ~ ssPv3(X4)
| ~ ssRr(X2,X4)
| ~ ssPv4(X3)
| ~ ssRr(X2,X3)
| ~ 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,X5] :
( ssPv4(X2)
| ssPv1(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',clause30) ).
fof(f33,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( ssPv1(X2)
| ssPv3(X5)
| ssPv4(X4)
| ~ ssRr(X2,X5)
| ~ ssRr(X2,X3)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X0)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
fof(f34,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( ssPv4(X2)
| ssPv1(X4)
| ssPv2(X1)
| ~ ssPv2(X5)
| ~ ssRr(X2,X5)
| ~ ssRr(X2,X3)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
fof(f35,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( ssPv4(X2)
| ssPv1(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',clause35) ).
fof(f36,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( ssPv2(X2)
| ssPv4(X5)
| ~ ssRr(X2,X5)
| ~ ssRr(X2,X3)
| ~ ssPv1(X4)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X0)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).
fof(f37,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( ssPv4(X2)
| ssPv1(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',clause37) ).
fof(f39,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( ssPv4(X2)
| ssPv4(X4)
| ~ ssPv1(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',clause39) ).
fof(f41,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( ssPv2(X2)
| ssPv4(X5)
| ~ ssRr(X2,X5)
| ~ ssRr(X2,X3)
| ~ ssPv3(X4)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X0)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).
fof(f43,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( ssPv1(X2)
| ssPv3(X4)
| ~ ssPv4(X5)
| ~ ssRr(X2,X5)
| ~ ssRr(X2,X3)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X0)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
fof(f44,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( ssPv3(X5)
| ~ ssPv1(X2)
| ~ ssRr(X2,X5)
| ~ ssRr(X2,X3)
| ~ ssPv1(X4)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
fof(f45,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( ssPv2(X4)
| ~ ssPv2(X2)
| ~ ssPv3(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',clause45) ).
fof(f46,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( ssPv4(X2)
| ~ ssPv1(X5)
| ~ ssRr(X2,X5)
| ~ ssRr(X2,X3)
| ~ ssPv2(X4)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X0)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
fof(f48,negated_conjecture,
! [X2,X3,X0,X1,X6,X4,X5] :
( ssPv1(X2)
| ssPv1(X6)
| ~ ssRr(X2,X5)
| ~ ssRr(X5,X6)
| ~ ssRr(X2,X3)
| ~ ssPv2(X4)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
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,X3: $i] :
( ssPv3(X2)
| ssPv2(X3)
| ssPv2(X2)
| ssPv1(X1)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_102,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv4(X2)
| ssPv3(X2)
| ssPv1(X1)
| ~ ssPv1(X3)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_104,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv4(X2)
| ssPv2(X2)
| ssPv2(X1)
| ~ ssPv3(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] :
( ssPv4(X2)
| ssPv3(X3)
| ssPv3(X1)
| ~ ssPv3(X2)
| ~ 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] :
( ssPv3(X1)
| ssPv2(X2)
| ~ ssPv4(X3)
| ~ ssPv1(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] :
( ssPv4(X1)
| ssPv1(X2)
| ~ ssPv4(X2)
| ~ ssPv3(X3)
| ~ 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] :
( ssPv3(X2)
| ~ ssPv4(X2)
| ~ ssPv2(X1)
| ~ ssPv1(X3)
| ~ 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(X2)
| ~ ssPv4(X1)
| ~ ssPv3(X2)
| ~ ssPv2(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,X4: $i] :
( ssPv3(X2)
| ssPv3(X1)
| ssPv2(X4)
| ~ ssPv1(X2)
| ~ ssRr(X3,X4)
| ~ 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,X4: $i] :
( ssPv4(X2)
| ssPv4(X1)
| ssPv1(X4)
| ~ ssPv3(X2)
| ~ ssRr(X3,X4)
| ~ 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,X4: $i] :
( ssPv3(X3)
| ssPv2(X4)
| ssPv1(X2)
| ~ ssPv1(X1)
| ~ ssRr(X2,X4)
| ~ 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,X4: $i] :
( ssPv4(X2)
| ssPv4(X1)
| ssPv3(X4)
| ~ ssPv2(X3)
| ~ ssRr(X2,X4)
| ~ 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,X4: $i] :
( ssPv4(X2)
| ssPv2(X4)
| ssPv2(X1)
| ~ ssPv3(X3)
| ~ ssRr(X2,X4)
| ~ 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,X4: $i] :
( ssPv3(X4)
| ssPv2(X2)
| ssPv1(X2)
| ~ ssPv4(X1)
| ~ ssRr(X3,X4)
| ~ 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,X4: $i] :
( ssPv3(X4)
| ssPv3(X1)
| ~ ssPv4(X2)
| ~ ssPv2(X3)
| ~ ssRr(X2,X4)
| ~ 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,X4: $i] :
( ssPv4(X4)
| ssPv2(X1)
| ~ ssPv3(X2)
| ~ ssPv2(X3)
| ~ ssRr(X2,X4)
| ~ 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,X4: $i] :
( ssPv3(X2)
| ssPv1(X4)
| ~ ssPv3(X1)
| ~ ssPv1(X2)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_119,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv1(X4)
| ssPv1(X2)
| ~ ssPv3(X3)
| ~ ssPv3(X1)
| ~ ssRr(X2,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_120,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv4(X1)
| ssPv2(X4)
| ~ ssPv3(X2)
| ~ ssPv2(X2)
| ~ ssRr(X3,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] :
( ssPv3(X1)
| ssPv2(X4)
| ~ ssPv4(X2)
| ~ ssPv1(X2)
| ~ ssRr(X3,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(X4)
| ssPv1(X2)
| ~ ssPv2(X2)
| ~ ssPv2(X1)
| ~ ssRr(X3,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)
| ssPv1(X2)
| ~ ssPv3(X1)
| ~ ssPv2(X4)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_124,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv4(X2)
| ssPv3(X4)
| ~ ssPv2(X1)
| ~ ssPv1(X2)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_125,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv2(X2)
| ~ ssPv4(X3)
| ~ ssPv3(X4)
| ~ ssPv1(X1)
| ~ ssRr(X2,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] :
( ssPv2(X4)
| ~ ssPv4(X2)
| ~ ssPv3(X2)
| ~ ssPv2(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(X2)
| ~ ssPv4(X3)
| ~ ssPv4(X1)
| ~ ssPv3(X4)
| ~ 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] :
( ~ ssPv4(X3)
| ~ ssPv3(X4)
| ~ ssPv3(X1)
| ~ ssPv1(X2)
| ~ ssRr(X2,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,X5: $i] :
( ssPv4(X2)
| ssPv3(X1)
| ssPv2(X5)
| ssPv1(X4)
| ~ ssRr(X3,X5)
| ~ ssRr(X2,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_132,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssPv4(X5)
| ssPv3(X4)
| ssPv1(X2)
| ~ ssPv1(X1)
| ~ ssRr(X3,X5)
| ~ ssRr(X2,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,X5: $i] :
( ssPv4(X2)
| ssPv2(X1)
| ssPv1(X5)
| ~ ssPv2(X4)
| ~ ssRr(X3,X5)
| ~ ssRr(X2,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,X5: $i] :
( ssPv4(X2)
| ssPv2(X5)
| ssPv1(X4)
| ~ ssPv3(X1)
| ~ ssRr(X3,X5)
| ~ ssRr(X2,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] :
( ssPv4(X4)
| ssPv2(X2)
| ~ ssPv2(X1)
| ~ ssPv1(X5)
| ~ 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,X5: $i] :
( ssPv4(X2)
| ssPv1(X4)
| ~ ssPv3(X1)
| ~ ssPv2(X5)
| ~ ssRr(X3,X5)
| ~ ssRr(X2,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_138,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssPv4(X5)
| ssPv4(X2)
| ~ ssPv3(X1)
| ~ ssPv1(X4)
| ~ ssRr(X3,X5)
| ~ ssRr(X2,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_140,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssPv4(X4)
| ssPv2(X2)
| ~ ssPv4(X1)
| ~ ssPv3(X5)
| ~ ssRr(X3,X5)
| ~ ssRr(X2,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_142,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssPv3(X5)
| ssPv1(X2)
| ~ ssPv4(X4)
| ~ ssPv4(X1)
| ~ ssRr(X3,X5)
| ~ ssRr(X2,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_143,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssPv3(X4)
| ~ ssPv3(X1)
| ~ ssPv1(X5)
| ~ ssPv1(X2)
| ~ ssRr(X3,X5)
| ~ ssRr(X2,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_144,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssPv2(X5)
| ~ ssPv3(X4)
| ~ ssPv3(X1)
| ~ ssPv2(X2)
| ~ 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] :
( ssPv4(X2)
| ~ ssPv4(X1)
| ~ ssPv2(X5)
| ~ ssPv1(X4)
| ~ ssRr(X3,X5)
| ~ ssRr(X2,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_147,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ssPv1(X6)
| ssPv1(X2)
| ~ ssPv3(X1)
| ~ ssPv2(X5)
| ~ ssRr(X4,X6)
| ~ ssRr(X3,X5)
| ~ ssRr(X2,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_151,plain,
ssRr(iProver_bot,skf1(iProver_bot)),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_172,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssPv4(X2)
| ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X4)
| ~ ssRr(X3,X5)
| ssPv1(X4)
| ssPv2(X5) ),
inference(global_subsumption_just,[status(thm)],[c_129,c_129,c_134]) ).
tcf(c_173,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssPv4(X2)
| ssPv2(X5)
| ssPv1(X4)
| ~ ssRr(X3,X5)
| ~ ssRr(X2,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(renaming,[status(thm)],[c_172]) ).
tcf(c_175,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssPv4(X2)
| ssPv2(X5)
| ssPv1(X4)
| ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X4)
| ~ ssRr(X3,X5) ),
inference(global_subsumption_just,[status(thm)],[c_134,c_173]) ).
tcf(c_176,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssPv4(X2)
| ssPv2(X5)
| ssPv1(X4)
| ~ ssRr(X3,X5)
| ~ ssRr(X2,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(renaming,[status(thm)],[c_175]) ).
tcf(c_177,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssPv4(X5)
| ssPv4(X2)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X4)
| ~ ssRr(X3,X5) ),
inference(global_subsumption_just,[status(thm)],[c_138,c_138,c_136,c_173]) ).
tcf(c_178,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssPv4(X5)
| ssPv4(X2)
| ~ ssPv3(X1)
| ~ ssRr(X3,X5)
| ~ ssRr(X2,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(renaming,[status(thm)],[c_177]) ).
tcf(c_180,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssPv4(X2)
| ssPv1(X4)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X4)
| ~ ssRr(X3,X5) ),
inference(global_subsumption_just,[status(thm)],[c_136,c_136,c_173]) ).
tcf(c_181,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssPv4(X2)
| ssPv1(X4)
| ~ ssPv3(X1)
| ~ ssRr(X3,X5)
| ~ ssRr(X2,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(renaming,[status(thm)],[c_180]) ).
tcf(c_1810,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X0)
| ssPv2(X0)
| ssPv1(X2)
| ssPv2(skf1(X0))
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_1811,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv4(X3)
| ssPv1(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_176]) ).
tcf(c_1813,plain,
! [X0: $i,X1: $i] :
( ssPv3(X0)
| ssPv2(X0)
| ssPv2(skf1(X0))
| ssPv1(skf1(X1))
| ~ ssRr(X0,X1)
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_1810]) ).
tcf(c_1815,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv4(X1)
| ssPv2(skf1(X0))
| ssPv1(skf1(X1))
| ~ ssRr(X2,X3)
| ~ ssRr(X1,X2)
| ~ ssRr(X1,X0)
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_1811]) ).
tcf(c_1817,plain,
! [X0: $i] :
( ssPv3(X0)
| ssPv2(X0)
| ssPv2(skf1(X0))
| ssPv1(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_1813]) ).
tcf(c_1819,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X1)
| ssPv2(skf1(X0))
| ssPv1(skf1(X1))
| ~ ssRr(X1,X2)
| ~ ssRr(X1,X0)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_1815]) ).
tcf(c_1826,plain,
! [X0: $i,X1: $i] :
( ssPv4(X0)
| ssPv2(skf1(X1))
| ssPv1(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_1819]) ).
tcf(c_1835,plain,
! [X0: $i] :
( ssPv4(X0)
| ssPv1(skf1(X0))
| ssPv2(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_1826]) ).
tcf(c_1844,plain,
! [X0: $i] : ssRr(skf1(X0),skf1(skf1(X0))),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_1845,plain,
ssRr(skf1(iProver_bot),skf1(skf1(iProver_bot))),
inference(instantiation,[status(thm)],[c_1844]) ).
tcf(c_1871,plain,
! [X0: $i] : ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))),
inference(instantiation,[status(thm)],[c_1844]) ).
tcf(c_1872,plain,
ssRr(skf1(skf1(iProver_bot)),skf1(skf1(skf1(iProver_bot)))),
inference(instantiation,[status(thm)],[c_1871]) ).
tcf(c_1875,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv1(X3)
| ssPv3(skf1(X0))
| ~ ssPv4(X4)
| ~ ssPv4(X2)
| ~ ssRr(X3,X4)
| ~ ssRr(X3,X1)
| ~ ssRr(X3,X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_142]) ).
tcf(c_1878,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv2(X3)
| ssPv1(X3)
| ssPv3(skf1(X0))
| ~ ssPv4(X2)
| ~ ssRr(X3,X1)
| ~ ssRr(X3,X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_1881,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv3(X2)
| ssPv2(skf1(X0))
| ~ ssPv4(X3)
| ~ ssPv1(X3)
| ~ ssRr(X3,X1)
| ~ ssRr(X3,X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_1884,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X2)
| ssPv2(X0)
| ~ ssPv1(X0)
| ~ ssPv4(skf1(X0))
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_1895,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv3(X4)
| ssPv3(X3)
| ~ ssPv4(X0)
| ~ ssPv2(skf1(X1))
| ~ ssRr(X2,X3)
| ~ ssRr(X0,X4)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,skf1(X1)) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_1899,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv3(X4)
| ssPv1(skf1(X0))
| ~ ssPv2(X3)
| ~ ssPv2(skf1(X0))
| ~ ssRr(X2,X4)
| ~ ssRr(X1,X3)
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_1928,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv1(X1)
| ssPv3(skf1(X0))
| ~ ssPv4(X3)
| ~ ssPv4(skf1(X1))
| ~ ssRr(X2,X3)
| ~ ssRr(X1,X2)
| ~ ssRr(X1,X0)
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_1875]) ).
tcf(c_1932,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(X0)
| ssPv1(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_1878]) ).
tcf(c_1935,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv3(X3)
| ssPv3(skf1(X2))
| ~ ssPv4(X0)
| ~ ssPv2(skf1(X1))
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(X1)) ),
inference(instantiation,[status(thm)],[c_1895]) ).
tcf(c_1938,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv3(skf1(X2))
| ssPv1(skf1(X0))
| ~ ssPv2(X3)
| ~ ssPv2(skf1(X0))
| ~ ssRr(X1,X3)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_1899]) ).
tcf(c_1945,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv1(X1)
| ssPv3(skf1(X0))
| ~ ssPv4(skf1(X2))
| ~ ssPv4(skf1(X1))
| ~ ssRr(X1,X2)
| ~ ssRr(X1,X0)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_1928]) ).
tcf(c_1949,plain,
! [X0: $i,X1: $i] :
( ssPv2(X0)
| ssPv1(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_1932]) ).
tcf(c_1953,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(skf1(X2))
| ssPv3(skf1(X0))
| ~ ssPv4(X0)
| ~ ssPv2(skf1(X1))
| ~ ssRr(X0,X2)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(X1))
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_1935]) ).
tcf(c_1957,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(skf1(X2))
| ssPv1(skf1(X0))
| ~ ssPv2(skf1(X1))
| ~ ssPv2(skf1(X0))
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_1938]) ).
tcf(c_1964,plain,
! [X0: $i,X1: $i] :
( ssPv1(X0)
| ssPv3(skf1(X1))
| ~ ssPv4(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssPv4(skf1(skf1(X0)))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_1945]) ).
tcf(c_1968,plain,
! [X0: $i] :
( ssPv2(X0)
| ssPv1(X0)
| ssPv3(skf1(skf1(X0)))
| ~ ssPv4(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_1949]) ).
tcf(c_1972,plain,
! [X0: $i,X1: $i] :
( ssPv3(skf1(X0))
| ssPv3(skf1(skf1(X0)))
| ~ ssPv4(X0)
| ~ ssPv2(skf1(X1))
| ~ ssRr(X0,skf1(X1))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_1953]) ).
tcf(c_1976,plain,
! [X0: $i,X1: $i] :
( ssPv1(skf1(X0))
| ssPv3(skf1(skf1(skf1(X0))))
| ~ ssPv2(skf1(X1))
| ~ ssPv2(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_1957]) ).
tcf(c_1983,plain,
! [X0: $i] :
( ssPv1(X0)
| ssPv3(skf1(skf1(X0)))
| ~ ssPv4(skf1(X0))
| ~ ssPv4(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_1964]) ).
tcf(c_1998,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(X0)))
| ssPv1(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_1835]) ).
tcf(c_2001,plain,
! [X0: $i] :
( ssPv3(skf1(X0))
| ssPv2(skf1(X0))
| ssPv2(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_1817]) ).
tcf(c_2009,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv1(X3)
| ssPv3(skf1(X0))
| ~ ssPv2(X3)
| ~ ssPv2(X2)
| ~ ssRr(X3,X1)
| ~ ssRr(X3,X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_2013,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv4(X2)
| ssPv4(X0)
| ssPv3(skf1(X0))
| ~ ssPv2(X3)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X1)
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_2020,plain,
! [X0: $i] :
( ssPv1(skf1(X0))
| ssPv3(skf1(skf1(skf1(X0))))
| ~ ssPv2(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_1976]) ).
tcf(c_2030,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv3(X3)
| ssPv2(skf1(X1))
| ~ ssPv4(skf1(X0))
| ~ ssPv1(skf1(X0))
| ~ ssRr(X2,X3)
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_1881]) ).
tcf(c_2046,plain,
! [X0: $i] :
( ssPv4(skf1(X0))
| ssPv1(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_1835]) ).
tcf(c_2050,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X2)
| ssPv2(skf1(X0))
| ~ ssPv1(skf1(X0))
| ~ ssRr(X1,X2)
| ~ ssPv4(skf1(skf1(X0)))
| ~ ssRr(skf1(X0),X1)
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_1884]) ).
tcf(c_2084,plain,
! [X0: $i] : ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0))))),
inference(instantiation,[status(thm)],[c_1871]) ).
tcf(c_2085,plain,
ssRr(skf1(skf1(skf1(iProver_bot))),skf1(skf1(skf1(skf1(iProver_bot))))),
inference(instantiation,[status(thm)],[c_2084]) ).
tcf(c_2086,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv1(X0)
| ssPv3(skf1(X2))
| ~ ssPv2(X1)
| ~ ssPv2(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_2009]) ).
tcf(c_2089,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X0)
| ssPv4(skf1(X1))
| ssPv3(skf1(X0))
| ~ ssPv2(X2)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1)
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_2013]) ).
tcf(c_2099,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(skf1(X2))
| ssPv2(skf1(X1))
| ~ ssPv4(skf1(X0))
| ~ ssPv1(skf1(X0))
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_2030]) ).
tcf(c_2157,plain,
! [X0: $i,X1: $i] :
( ssPv3(skf1(skf1(X0)))
| ssPv3(skf1(skf1(skf1(X0))))
| ~ ssPv4(skf1(X0))
| ~ ssPv2(skf1(X1))
| ~ ssRr(skf1(X0),skf1(X1))
| ~ ssRr(skf1(X0),skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_1972]) ).
tcf(c_2162,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X0)
| ssPv2(X2)
| ssPv2(X0)
| ssPv1(skf1(X1))
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_101]) ).
tcf(c_2164,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X0)
| ssPv3(X0)
| ssPv1(skf1(X1))
| ~ ssPv1(X2)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_102]) ).
tcf(c_2168,plain,
! [X0: $i,X1: $i] :
( ssPv3(skf1(X1))
| ssPv2(skf1(X0))
| ~ ssPv1(skf1(X0))
| ~ ssPv4(skf1(skf1(X0)))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(X0),X1)
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2050]) ).
tcf(c_2172,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X0)
| ssPv2(X0)
| ssPv2(skf1(X1))
| ~ ssPv3(X2)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_104]) ).
tcf(c_2183,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X0)
| ssPv3(X2)
| ssPv3(skf1(X1))
| ~ ssPv3(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_105]) ).
tcf(c_2196,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(X0)
| ssPv3(skf1(X1))
| ~ ssPv4(X2)
| ~ ssPv1(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_106]) ).
tcf(c_2282,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(X0)))
| ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv2(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_2020]) ).
tcf(c_2284,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv1(X0)
| ssPv4(skf1(X1))
| ~ ssPv4(X0)
| ~ ssPv3(X2)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_107]) ).
tcf(c_2285,plain,
! [X0: $i,X1: $i] :
( ssPv1(X0)
| ssPv3(skf1(skf1(X0)))
| ~ ssPv2(X1)
| ~ ssPv2(X0)
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),X1)
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2086]) ).
tcf(c_2290,plain,
! [X0: $i,X1: $i] :
( ssPv4(X0)
| ssPv4(skf1(X1))
| ssPv3(skf1(X0))
| ~ ssPv2(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_2089]) ).
tcf(c_2305,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv1(X0)
| ~ ssPv3(X0)
| ~ ssPv2(X2)
| ~ ssPv4(skf1(X1))
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_109]) ).
tcf(c_2309,plain,
! [X0: $i] : ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(skf1(skf1(skf1(skf1(X0)))))),
inference(instantiation,[status(thm)],[c_2084]) ).
tcf(c_2310,plain,
ssRr(skf1(skf1(skf1(skf1(iProver_bot)))),skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),
inference(instantiation,[status(thm)],[c_2309]) ).
tcf(c_2311,plain,
! [X0: $i,X1: $i] :
( ssPv2(skf1(X1))
| ssPv3(skf1(skf1(skf1(X0))))
| ~ ssPv4(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_2099]) ).
tcf(c_2321,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv3(X0)
| ssPv2(X3)
| ssPv3(skf1(X1))
| ~ ssPv1(X0)
| ~ ssRr(X2,X3)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_110]) ).
tcf(c_2337,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv4(X0)
| ssPv1(X3)
| ssPv4(skf1(X1))
| ~ ssPv3(X0)
| ~ ssRr(X2,X3)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_111]) ).
tcf(c_2351,plain,
! [X0: $i,X1: $i] :
( ssPv3(X0)
| ssPv2(X1)
| ssPv2(X0)
| ssPv1(skf1(skf1(X0)))
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_2162]) ).
tcf(c_2378,plain,
! [X0: $i,X1: $i] :
( ssPv4(X0)
| ssPv3(X0)
| ssPv1(skf1(skf1(X0)))
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_2164]) ).
tcf(c_2390,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv3(X2)
| ssPv2(X3)
| ssPv1(X0)
| ~ ssPv1(skf1(X1))
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_112]) ).
tcf(c_2410,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(X0)))
| ssPv3(skf1(skf1(skf1(X0))))
| ~ ssPv4(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_2157]) ).
tcf(c_2411,plain,
( ssPv3(skf1(skf1(iProver_bot)))
| ssPv3(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv4(skf1(iProver_bot))
| ~ ssPv2(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_2410]) ).
tcf(c_2415,plain,
! [X0: $i] :
( ssPv2(skf1(X0))
| ssPv3(skf1(skf1(skf1(X0))))
| ~ ssPv1(skf1(X0))
| ~ ssPv4(skf1(skf1(X0)))
| ~ ssRr(skf1(X0),skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_2168]) ).
tcf(c_2416,plain,
( ssPv2(skf1(iProver_bot))
| ssPv3(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv1(skf1(iProver_bot))
| ~ ssPv4(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_2415]) ).
tcf(c_2420,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv4(X0)
| ssPv2(X3)
| ssPv2(skf1(X1))
| ~ ssPv3(X2)
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_114]) ).
tcf(c_2431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv3(X3)
| ssPv2(X0)
| ssPv1(X0)
| ~ ssPv4(skf1(X1))
| ~ ssRr(X2,X3)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_115]) ).
tcf(c_2441,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv3(X3)
| ssPv3(skf1(X1))
| ~ ssPv4(X0)
| ~ ssPv2(X2)
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_116]) ).
tcf(c_2503,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv2(X3)
| ssPv3(skf1(X1))
| ~ ssPv4(X0)
| ~ ssPv1(X0)
| ~ ssRr(X2,X3)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_121]) ).
tcf(c_2504,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv3(X3)
| ssPv1(X0)
| ~ ssPv2(X0)
| ~ ssPv2(skf1(X1))
| ~ ssRr(X2,X3)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_122]) ).
tcf(c_2506,plain,
! [X0: $i] :
( ssPv4(X0)
| ssPv3(X0)
| ssPv1(skf1(skf1(X0)))
| ~ ssPv1(skf1(X0)) ),
inference(superposition,[status(thm)],[c_100,c_2378]) ).
tcf(c_2511,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv4(X0)
| ssPv3(X3)
| ~ ssPv1(X0)
| ~ ssPv2(skf1(X1))
| ~ ssRr(X2,X3)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_124]) ).
tcf(c_2513,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv4(X0)
| ssPv2(X4)
| ssPv1(X3)
| ~ ssRr(X2,X4)
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_176]) ).
tcf(c_2527,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv2(X0)
| ~ ssPv4(X2)
| ~ ssPv3(X3)
| ~ ssPv1(skf1(X1))
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_125]) ).
tcf(c_2530,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv2(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_2282]) ).
tcf(c_2531,plain,
( ssPv1(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv2(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_2530]) ).
tcf(c_2532,plain,
! [X0: $i] :
( ssPv1(X0)
| ssPv3(skf1(skf1(X0)))
| ~ ssPv2(X0)
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2285]) ).
tcf(c_2537,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv2(X3)
| ~ ssPv4(X0)
| ~ ssPv3(X0)
| ~ ssPv2(skf1(X1))
| ~ ssRr(X2,X3)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_126]) ).
tcf(c_2538,plain,
! [X0: $i] :
( ssPv4(X0)
| ssPv3(skf1(X0))
| ssPv4(skf1(skf1(X0)))
| ~ ssPv2(skf1(X0))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2290]) ).
tcf(c_2547,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv2(X0)
| ~ ssPv4(X2)
| ~ ssPv3(X3)
| ~ ssPv4(skf1(X1))
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_127]) ).
tcf(c_2670,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(X0))))
| ssPv2(skf1(skf1(skf1(X0))))
| ~ ssPv4(skf1(X0))
| ~ ssPv1(skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_2311]) ).
tcf(c_2671,plain,
( ssPv3(skf1(skf1(skf1(iProver_bot))))
| ssPv2(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv4(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_2670]) ).
tcf(c_2691,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X0)
| ~ ssPv4(X0)
| ~ ssPv2(X2)
| ~ ssPv1(skf1(X0))
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_108]) ).
tcf(c_2692,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv3(X2)
| ssPv3(skf1(X0))
| ~ ssPv4(X0)
| ~ ssPv2(X3)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X1)
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_2693,plain,
! [X0: $i,X1: $i] :
( ssPv3(X0)
| ~ ssPv4(X0)
| ~ ssPv2(skf1(X1))
| ~ ssPv1(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_2691]) ).
tcf(c_2694,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(skf1(X1))
| ssPv3(skf1(X0))
| ~ ssPv4(X0)
| ~ ssPv2(X2)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1)
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_2692]) ).
tcf(c_2695,plain,
! [X0: $i] :
( ssPv3(X0)
| ~ ssPv4(X0)
| ~ ssPv1(skf1(X0))
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2693]) ).
tcf(c_2697,plain,
! [X0: $i,X1: $i] :
( ssPv3(skf1(X1))
| ssPv3(skf1(X0))
| ~ ssPv4(X0)
| ~ ssPv2(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_2694]) ).
tcf(c_2698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssPv3(X5)
| ssPv1(skf1(X0))
| ~ ssPv4(X4)
| ~ ssPv4(X3)
| ~ ssRr(X2,X5)
| ~ ssRr(X1,X4)
| ~ ssRr(skf1(X0),X3)
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_142]) ).
tcf(c_2699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv3(skf1(X0))
| ssPv1(skf1(X0))
| ~ ssPv3(X3)
| ~ ssPv2(X4)
| ~ ssRr(X2,X4)
| ~ ssRr(X1,X3)
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_2700,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv3(X4)
| ssPv1(skf1(X0))
| ~ ssPv2(X3)
| ~ ssPv2(skf1(X0))
| ~ ssRr(X2,X4)
| ~ ssRr(X1,X3)
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_2701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv1(skf1(X0))
| ~ ssPv4(X3)
| ~ ssPv2(X2)
| ~ ssPv3(skf1(X0))
| ~ ssRr(X1,X3)
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_2704,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv1(X0)
| ssPv1(skf1(X1))
| ~ ssPv3(X4)
| ~ ssPv3(X3)
| ~ ssRr(X2,X3)
| ~ ssRr(X0,X4)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,skf1(X1)) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_2705,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv3(X4)
| ssPv1(skf1(X1))
| ~ ssPv3(X3)
| ~ ssPv1(X4)
| ~ ssRr(X4,X2)
| ~ ssRr(X4,X0)
| ~ ssRr(X2,X3)
| ~ ssRr(X0,skf1(X1)) ),
inference(instantiation,[status(thm)],[c_118]) ).
tcf(c_2707,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ssPv1(X4)
| ssPv1(skf1(X1))
| ~ ssPv3(X3)
| ~ ssPv2(X6)
| ~ ssRr(X5,X6)
| ~ ssRr(X4,X5)
| ~ ssRr(X4,X2)
| ~ ssRr(X4,X0)
| ~ ssRr(X2,X3)
| ~ ssRr(X0,skf1(X1)) ),
inference(instantiation,[status(thm)],[c_147]) ).
tcf(c_2708,plain,
! [X0: $i] :
( ssPv3(skf1(X0))
| ssPv3(skf1(skf1(X0)))
| ~ ssPv4(X0)
| ~ ssPv2(skf1(X0))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2697]) ).
tcf(c_2709,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv3(skf1(X2))
| ssPv1(skf1(X0))
| ~ ssPv4(X4)
| ~ ssPv4(X3)
| ~ ssRr(X1,X4)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(skf1(X0),X3)
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_2698]) ).
tcf(c_2711,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv3(skf1(X2))
| ssPv1(skf1(X0))
| ~ ssPv2(X3)
| ~ ssPv2(skf1(X0))
| ~ ssRr(X1,X3)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_2700]) ).
tcf(c_2712,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv1(skf1(X0))
| ~ ssPv2(X2)
| ~ ssPv4(skf1(X1))
| ~ ssPv3(skf1(X0))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_2701]) ).
tcf(c_2714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ssPv1(X4)
| ssPv1(skf1(X1))
| ~ ssPv2(X6)
| ~ ssPv3(skf1(X3))
| ~ ssRr(X5,X6)
| ~ ssRr(X4,X5)
| ~ ssRr(X4,X2)
| ~ ssRr(X4,X0)
| ~ ssRr(X2,skf1(X3))
| ~ ssRr(X0,skf1(X1)) ),
inference(instantiation,[status(thm)],[c_2707]) ).
tcf(c_2715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv3(X4)
| ssPv1(skf1(X1))
| ~ ssPv1(X4)
| ~ ssPv3(skf1(X3))
| ~ ssRr(X4,X2)
| ~ ssRr(X4,X0)
| ~ ssRr(X2,skf1(X3))
| ~ ssRr(X0,skf1(X1)) ),
inference(instantiation,[status(thm)],[c_2705]) ).
tcf(c_2716,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv3(skf1(X0))
| ssPv1(skf1(X0))
| ~ ssPv2(X4)
| ~ ssPv3(skf1(X3))
| ~ ssRr(X2,X4)
| ~ ssRr(X1,skf1(X3))
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_2699]) ).
tcf(c_2719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssPv3(X4)
| ~ ssPv1(X5)
| ~ ssPv1(X2)
| ~ ssPv3(skf1(X1))
| ~ ssRr(X3,X5)
| ~ ssRr(X2,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,skf1(X1)) ),
inference(instantiation,[status(thm)],[c_143]) ).
tcf(c_2721,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv1(X0)
| ssPv1(skf1(X1))
| ~ ssPv3(X4)
| ~ ssPv3(skf1(X2))
| ~ ssRr(X3,X4)
| ~ ssRr(X0,X3)
| ~ ssRr(X0,skf1(X2))
| ~ ssRr(X0,skf1(X1)) ),
inference(instantiation,[status(thm)],[c_2704]) ).
tcf(c_2722,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ssPv4(X4)
| ~ ssPv3(X3)
| ~ ssPv1(X0)
| ~ ssPv3(skf1(X1))
| ~ ssRr(X2,X3)
| ~ ssRr(X0,X4)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,skf1(X1)) ),
inference(instantiation,[status(thm)],[c_128]) ).
tcf(c_2724,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv3(skf1(X2))
| ssPv1(skf1(X0))
| ~ ssPv4(X3)
| ~ ssPv4(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_2709]) ).
tcf(c_2726,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(skf1(X2))
| ssPv1(skf1(X0))
| ~ ssPv2(skf1(X1))
| ~ ssPv2(skf1(X0))
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_2711]) ).
tcf(c_2727,plain,
! [X0: $i,X1: $i] :
( ssPv1(skf1(X0))
| ~ ssPv4(skf1(X1))
| ~ ssPv3(skf1(X0))
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(X0),X1)
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2712]) ).
tcf(c_2729,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssPv1(X5)
| ssPv1(skf1(X1))
| ~ ssPv3(skf1(X3))
| ~ ssPv2(skf1(X4))
| ~ ssRr(X5,X4)
| ~ ssRr(X5,X2)
| ~ ssRr(X5,X0)
| ~ ssRr(X4,skf1(X4))
| ~ ssRr(X2,skf1(X3))
| ~ ssRr(X0,skf1(X1)) ),
inference(instantiation,[status(thm)],[c_2714]) ).
tcf(c_2731,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv3(X0)
| ssPv1(skf1(X3))
| ~ ssPv1(X0)
| ~ ssPv3(skf1(X1))
| ~ ssRr(X0,X2)
| ~ ssRr(X2,skf1(X3))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(X1)) ),
inference(instantiation,[status(thm)],[c_2715]) ).
tcf(c_2732,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv3(skf1(X0))
| ssPv1(skf1(X0))
| ~ ssPv3(skf1(X3))
| ~ ssPv2(skf1(X2))
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X1,skf1(X3))
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_2716]) ).
tcf(c_2733,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv3(X4)
| ~ ssPv1(X3)
| ~ ssPv3(skf1(X1))
| ~ ssPv1(skf1(X2))
| ~ ssRr(X3,X4)
| ~ ssRr(X3,X2)
| ~ ssRr(X3,X0)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(X1)) ),
inference(instantiation,[status(thm)],[c_2719]) ).
tcf(c_2736,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv1(X0)
| ssPv1(skf1(X1))
| ~ ssPv3(skf1(X3))
| ~ ssPv3(skf1(X2))
| ~ ssRr(X0,X3)
| ~ ssRr(X3,skf1(X3))
| ~ ssRr(X0,skf1(X2))
| ~ ssRr(X0,skf1(X1)) ),
inference(instantiation,[status(thm)],[c_2721]) ).
tcf(c_2738,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ssPv4(X3)
| ~ ssPv1(X0)
| ~ ssPv3(skf1(X2))
| ~ ssPv3(skf1(X1))
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(X1)) ),
inference(instantiation,[status(thm)],[c_2722]) ).
tcf(c_2740,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(skf1(X2))
| ssPv1(skf1(X0))
| ~ ssPv4(skf1(X1))
| ~ ssPv4(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_2724]) ).
tcf(c_2742,plain,
! [X0: $i,X1: $i] :
( ssPv1(skf1(X0))
| ssPv3(skf1(skf1(skf1(X0))))
| ~ ssPv2(skf1(X1))
| ~ ssPv2(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_2726]) ).
tcf(c_2743,plain,
! [X0: $i] :
( ssPv1(skf1(X0))
| ~ ssPv3(skf1(X0))
| ~ ssPv2(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_2727]) ).
tcf(c_2744,plain,
( ssPv1(skf1(iProver_bot))
| ~ ssPv3(skf1(iProver_bot))
| ~ ssPv2(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_2743]) ).
tcf(c_2745,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv1(X0)
| ssPv1(skf1(X2))
| ~ ssPv3(skf1(X4))
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X1)
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssRr(X3,skf1(X4))
| ~ ssRr(X1,skf1(X2))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2729]) ).
tcf(c_2747,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X0)
| ssPv1(skf1(X2))
| ~ ssPv1(X0)
| ~ ssPv3(skf1(X1))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(X2))
| ~ ssRr(skf1(X0),skf1(X1)) ),
inference(instantiation,[status(thm)],[c_2731]) ).
tcf(c_2749,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(skf1(X0))
| ssPv1(skf1(X0))
| ~ ssPv3(skf1(X2))
| ~ ssRr(X1,skf1(X2))
| ~ ssRr(skf1(X0),X1)
| ~ ssPv2(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(X0),skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_2732]) ).
tcf(c_2750,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv3(skf1(X3))
| ~ ssPv1(X3)
| ~ ssPv3(skf1(X1))
| ~ ssPv1(skf1(X2))
| ~ ssRr(X3,X2)
| ~ ssRr(X3,X0)
| ~ ssRr(X3,skf1(X3))
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(X1)) ),
inference(instantiation,[status(thm)],[c_2733]) ).
tcf(c_2752,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv1(X0)
| ssPv1(skf1(X1))
| ~ ssPv3(skf1(X2))
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X2))
| ~ ssRr(X0,skf1(X1))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2736]) ).
tcf(c_2754,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssPv1(X0)
| ~ ssPv4(skf1(X0))
| ~ ssPv3(skf1(X2))
| ~ ssPv3(skf1(X1))
| ~ ssRr(X0,X2)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(X1))
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_2738]) ).
tcf(c_2756,plain,
! [X0: $i,X1: $i] :
( ssPv1(skf1(X0))
| ssPv3(skf1(skf1(skf1(X0))))
| ~ ssPv4(skf1(X1))
| ~ ssPv4(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_2740]) ).
tcf(c_2758,plain,
! [X0: $i] :
( ssPv1(skf1(X0))
| ssPv3(skf1(skf1(skf1(X0))))
| ~ ssPv2(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_2742]) ).
tcf(c_2759,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv3(X0)
| ssPv2(X0)
| ssPv1(X3)
| ssPv2(skf1(skf1(X1)))
| ~ ssRr(X2,X3)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_2760,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv2(skf1(skf1(X0)))
| ~ ssPv4(X4)
| ~ ssPv4(X2)
| ~ ssPv3(X3)
| ~ ssRr(X1,X4)
| ~ ssRr(skf1(skf1(X0)),X3)
| ~ ssRr(skf1(skf1(X0)),X2)
| ~ ssRr(skf1(skf1(X0)),X1) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_2761,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv2(skf1(skf1(X0)))
| ~ ssPv4(X2)
| ~ ssPv3(X3)
| ~ ssPv1(X4)
| ~ ssRr(X1,X4)
| ~ ssRr(skf1(skf1(X0)),X3)
| ~ ssRr(skf1(skf1(X0)),X2)
| ~ ssRr(skf1(skf1(X0)),X1) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_2762,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv3(X4)
| ssPv2(skf1(skf1(X0)))
| ssPv1(skf1(skf1(X0)))
| ~ ssPv4(X3)
| ~ ssRr(X2,X4)
| ~ ssRr(X1,X3)
| ~ ssRr(skf1(skf1(X0)),X2)
| ~ ssRr(skf1(skf1(X0)),X1) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_2763,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv3(X3)
| ssPv2(skf1(skf1(X0)))
| ~ ssPv4(X2)
| ~ ssRr(X1,X3)
| ~ ssPv1(skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),X2)
| ~ ssRr(skf1(skf1(X0)),X1) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_2771,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv3(X4)
| ssPv1(X0)
| ssPv2(skf1(skf1(X1)))
| ~ ssPv1(X3)
| ~ ssRr(X2,X3)
| ~ ssRr(X0,X4)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_2776,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssPv2(skf1(skf1(X1)))
| ~ ssPv3(X5)
| ~ ssPv3(X3)
| ~ ssPv2(X4)
| ~ ssRr(X4,X5)
| ~ ssRr(X4,X2)
| ~ ssRr(X4,X0)
| ~ ssRr(X2,X3)
| ~ ssRr(X0,skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_144]) ).
tcf(c_2784,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv1(X0)
| ssPv1(skf1(X3))
| ~ ssPv3(skf1(X1))
| ~ ssRr(X0,X2)
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssRr(X2,skf1(X3))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(X1))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2745]) ).
tcf(c_2785,plain,
! [X0: $i,X1: $i] :
( ssPv3(X0)
| ssPv1(skf1(skf1(X0)))
| ~ ssPv1(X0)
| ~ ssPv3(skf1(X1))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(X1))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2747]) ).
tcf(c_2787,plain,
! [X0: $i,X1: $i] :
( ssPv3(skf1(X0))
| ssPv1(skf1(X0))
| ~ ssPv3(skf1(X1))
| ~ ssPv2(skf1(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_2749]) ).
tcf(c_2788,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(skf1(X0))
| ~ ssPv1(X0)
| ~ ssPv3(skf1(X2))
| ~ ssRr(X0,X1)
| ~ ssPv1(skf1(skf1(X0)))
| ~ ssRr(X1,skf1(X2))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2750]) ).
tcf(c_2791,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv1(skf1(X1))
| ssPv1(skf1(X0))
| ~ ssPv3(skf1(X2))
| ~ ssPv3(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(X0),skf1(X2))
| ~ ssRr(skf1(X0),skf1(X1))
| ~ ssRr(skf1(X0),skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_2752]) ).
tcf(c_2793,plain,
! [X0: $i,X1: $i] :
( ~ ssPv1(X0)
| ~ ssPv4(skf1(X0))
| ~ ssPv3(skf1(X1))
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X1))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2754]) ).
tcf(c_2794,plain,
( ~ ssPv1(iProver_bot)
| ~ ssPv4(skf1(iProver_bot))
| ~ ssPv3(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_2793]) ).
tcf(c_2795,plain,
! [X0: $i] :
( ssPv1(skf1(X0))
| ssPv3(skf1(skf1(skf1(X0))))
| ~ ssPv4(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_2756]) ).
tcf(c_2796,plain,
( ssPv1(skf1(iProver_bot))
| ssPv3(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv4(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_2795]) ).
tcf(c_2798,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv2(skf1(X0))
| ~ ssPv4(X4)
| ~ ssPv4(X2)
| ~ ssPv3(X3)
| ~ ssRr(X1,X4)
| ~ ssRr(skf1(X0),X3)
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_2799,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv2(skf1(X0))
| ~ ssPv4(X2)
| ~ ssPv3(X3)
| ~ ssPv1(X4)
| ~ ssRr(X1,X4)
| ~ ssRr(skf1(X0),X3)
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_2807,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv3(X3)
| ssPv2(skf1(X1))
| ~ ssPv4(X4)
| ~ ssPv1(X4)
| ~ ssRr(X4,X2)
| ~ ssRr(X4,X0)
| ~ ssRr(X2,X3)
| ~ ssRr(X0,skf1(X1)) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_2809,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv3(X4)
| ssPv3(X3)
| ssPv2(skf1(X1))
| ~ ssPv1(X4)
| ~ ssRr(X4,X2)
| ~ ssRr(X4,X0)
| ~ ssRr(X2,X3)
| ~ ssRr(X0,skf1(X1)) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_2812,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssPv2(skf1(X1))
| ~ ssPv3(X5)
| ~ ssPv3(X3)
| ~ ssPv2(X4)
| ~ ssRr(X4,X5)
| ~ ssRr(X4,X2)
| ~ ssRr(X4,X0)
| ~ ssRr(X2,X3)
| ~ ssRr(X0,skf1(X1)) ),
inference(instantiation,[status(thm)],[c_144]) ).
tcf(c_2820,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X0)
| ssPv2(X0)
| ssPv1(skf1(X2))
| ssPv2(skf1(skf1(X1)))
| ~ ssRr(X0,X2)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_2759]) ).
tcf(c_2821,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv2(skf1(skf1(X0)))
| ~ ssPv4(X2)
| ~ ssPv3(X3)
| ~ ssPv4(skf1(X1))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(skf1(X0)),X3)
| ~ ssRr(skf1(skf1(X0)),X2)
| ~ ssRr(skf1(skf1(X0)),X1) ),
inference(instantiation,[status(thm)],[c_2760]) ).
tcf(c_2823,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv2(skf1(skf1(X0)))
| ~ ssPv4(X2)
| ~ ssPv3(X3)
| ~ ssPv1(skf1(X1))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(skf1(X0)),X3)
| ~ ssRr(skf1(skf1(X0)),X2)
| ~ ssRr(skf1(skf1(X0)),X1) ),
inference(instantiation,[status(thm)],[c_2761]) ).
tcf(c_2825,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv3(skf1(X2))
| ssPv2(skf1(skf1(X0)))
| ssPv1(skf1(skf1(X0)))
| ~ ssPv4(X3)
| ~ ssRr(X1,X3)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(skf1(skf1(X0)),X2)
| ~ ssRr(skf1(skf1(X0)),X1) ),
inference(instantiation,[status(thm)],[c_2762]) ).
tcf(c_2827,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(skf1(X1))
| ssPv2(skf1(skf1(X0)))
| ~ ssPv4(X2)
| ~ ssPv1(skf1(skf1(X0)))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(skf1(X0)),X2)
| ~ ssRr(skf1(skf1(X0)),X1) ),
inference(instantiation,[status(thm)],[c_2763]) ).
tcf(c_2833,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv3(X3)
| ssPv1(X0)
| ssPv2(skf1(skf1(X1)))
| ~ ssPv1(skf1(X2))
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_2771]) ).
tcf(c_2836,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv2(skf1(skf1(X1)))
| ~ ssPv3(X4)
| ~ ssPv2(X2)
| ~ ssPv3(skf1(X2))
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_2776]) ).
tcf(c_2843,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv1(X0)
| ssPv1(skf1(X2))
| ~ ssPv3(skf1(X1))
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(X2))
| ~ ssRr(skf1(X0),skf1(X1))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2784]) ).
tcf(c_2845,plain,
! [X0: $i] :
( ssPv3(X0)
| ssPv1(skf1(skf1(X0)))
| ~ ssPv1(X0)
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2785]) ).
tcf(c_2847,plain,
! [X0: $i] :
( ssPv3(skf1(X0))
| ssPv1(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_2787]) ).
tcf(c_2848,plain,
( ssPv3(skf1(iProver_bot))
| ssPv1(skf1(iProver_bot))
| ~ ssPv3(skf1(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_2847]) ).
tcf(c_2849,plain,
! [X0: $i,X1: $i] :
( ssPv3(skf1(X0))
| ~ ssPv1(X0)
| ~ ssPv3(skf1(X1))
| ~ ssPv1(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(X1))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2788]) ).
tcf(c_2852,plain,
! [X0: $i,X1: $i] :
( ssPv1(skf1(X1))
| ssPv1(skf1(X0))
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssPv3(skf1(skf1(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_2791]) ).
tcf(c_2854,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(X0)))
| ssPv3(skf1(skf1(skf1(X0))))
| ~ ssPv4(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_2708]) ).
tcf(c_2855,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssPv1(X3)
| ssPv4(skf1(skf1(X0)))
| ~ ssPv3(X4)
| ~ ssRr(X2,X5)
| ~ ssRr(X1,X4)
| ~ ssRr(skf1(skf1(X0)),X3)
| ~ ssRr(skf1(skf1(X0)),X2)
| ~ ssRr(skf1(skf1(X0)),X1) ),
inference(instantiation,[status(thm)],[c_181]) ).
tcf(c_2856,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssPv2(X5)
| ssPv1(X3)
| ssPv4(skf1(skf1(X0)))
| ~ ssRr(X2,X5)
| ~ ssRr(X1,X4)
| ~ ssRr(skf1(skf1(X0)),X3)
| ~ ssRr(skf1(skf1(X0)),X2)
| ~ ssRr(skf1(skf1(X0)),X1) ),
inference(instantiation,[status(thm)],[c_176]) ).
tcf(c_2858,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssPv4(skf1(skf1(X0)))
| ~ ssPv4(X4)
| ~ ssPv2(X5)
| ~ ssPv1(X3)
| ~ ssRr(X2,X5)
| ~ ssRr(X1,X4)
| ~ ssRr(skf1(skf1(X0)),X3)
| ~ ssRr(skf1(skf1(X0)),X2)
| ~ ssRr(skf1(skf1(X0)),X1) ),
inference(instantiation,[status(thm)],[c_145]) ).
tcf(c_2860,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssPv2(X4)
| ssPv1(X5)
| ssPv4(skf1(skf1(X0)))
| ~ ssPv2(X3)
| ~ ssRr(X2,X5)
| ~ ssRr(X1,X4)
| ~ ssRr(skf1(skf1(X0)),X3)
| ~ ssRr(skf1(skf1(X0)),X2)
| ~ ssRr(skf1(skf1(X0)),X1) ),
inference(instantiation,[status(thm)],[c_133]) ).
tcf(c_2861,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv3(X4)
| ssPv4(skf1(skf1(X0)))
| ~ ssPv2(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_124]) ).
tcf(c_2862,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv2(X4)
| ssPv2(X3)
| ssPv4(skf1(skf1(X0)))
| ~ ssPv3(X2)
| ~ ssRr(X1,X4)
| ~ ssRr(skf1(skf1(X0)),X3)
| ~ ssRr(skf1(skf1(X0)),X2)
| ~ ssRr(skf1(skf1(X0)),X1) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_2863,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv4(X4)
| ssPv3(X3)
| ssPv4(skf1(skf1(X0)))
| ~ ssPv2(X2)
| ~ ssRr(X1,X4)
| ~ ssRr(skf1(skf1(X0)),X3)
| ~ ssRr(skf1(skf1(X0)),X2)
| ~ ssRr(skf1(skf1(X0)),X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_2864,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv4(X3)
| ssPv1(X4)
| ssPv4(skf1(skf1(X0)))
| ~ ssRr(X2,X4)
| ~ ssRr(X1,X3)
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),X2)
| ~ ssRr(skf1(skf1(X0)),X1) ),
inference(instantiation,[status(thm)],[c_111]) ).
tcf(c_2865,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv3(X3)
| ssPv3(X2)
| ssPv4(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_105]) ).
tcf(c_2866,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv2(X3)
| ssPv4(skf1(skf1(X0)))
| ssPv2(skf1(skf1(X0)))
| ~ ssPv3(X2)
| ~ ssRr(X1,X3)
| ~ ssRr(skf1(skf1(X0)),X2)
| ~ ssRr(skf1(skf1(X0)),X1) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_2867,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv1(X3)
| ssPv4(skf1(skf1(X0)))
| ssPv3(skf1(skf1(X0)))
| ~ ssPv1(X2)
| ~ ssRr(X1,X3)
| ~ ssRr(skf1(skf1(X0)),X2)
| ~ ssRr(skf1(skf1(X0)),X1) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_2874,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv2(X4)
| ssPv4(skf1(skf1(X1)))
| ~ ssPv3(X2)
| ~ ssPv2(X2)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_2875,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv1(X2)
| ssPv4(skf1(skf1(X1)))
| ~ ssPv4(X2)
| ~ ssPv3(X3)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_2876,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssPv2(X0)
| ssPv4(skf1(skf1(X1)))
| ~ ssPv4(X3)
| ~ ssPv3(X5)
| ~ ssRr(X4,X5)
| ~ ssRr(X2,X3)
| ~ ssRr(X0,X4)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_140]) ).
tcf(c_2877,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssPv2(X0)
| ssPv4(skf1(skf1(X1)))
| ~ ssPv2(X3)
| ~ ssPv1(X5)
| ~ ssRr(X4,X5)
| ~ ssRr(X2,X3)
| ~ ssRr(X0,X4)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_135]) ).
tcf(c_2878,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv2(X3)
| ssPv4(skf1(skf1(X1)))
| ~ ssPv3(X0)
| ~ ssPv2(X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X0,X4)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_2879,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssPv4(X4)
| ssPv4(skf1(skf1(X1)))
| ~ ssPv3(X3)
| ~ ssRr(X4,X5)
| ~ ssRr(X4,X2)
| ~ ssRr(X4,X0)
| ~ ssRr(X2,X3)
| ~ ssRr(X0,skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_178]) ).
tcf(c_2881,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssPv3(X5)
| ssPv1(X4)
| ssPv4(skf1(skf1(X1)))
| ~ ssPv1(X3)
| ~ ssRr(X4,X5)
| ~ ssRr(X4,X2)
| ~ ssRr(X4,X0)
| ~ ssRr(X2,X3)
| ~ ssRr(X0,skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_132]) ).
tcf(c_2885,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv2(skf1(X0))
| ~ ssPv4(X2)
| ~ ssPv3(X3)
| ~ ssPv4(skf1(X1))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(X0),X3)
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_2798]) ).
tcf(c_2887,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv2(skf1(X0))
| ~ ssPv4(X2)
| ~ ssPv3(X3)
| ~ ssPv1(skf1(X1))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(X0),X3)
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_2799]) ).
tcf(c_2896,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv3(X1)
| ssPv2(skf1(X3))
| ~ ssPv4(X0)
| ~ ssPv1(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X2,skf1(X3))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_2807]) ).
tcf(c_2898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv3(X1)
| ssPv3(X0)
| ssPv2(skf1(X3))
| ~ ssPv1(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X2,skf1(X3))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_2809]) ).
tcf(c_2899,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv2(skf1(X1))
| ~ ssPv3(X4)
| ~ ssPv2(X2)
| ~ ssPv3(skf1(X2))
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(X1)) ),
inference(instantiation,[status(thm)],[c_2812]) ).
tcf(c_2904,plain,
! [X0: $i,X1: $i] :
( ssPv3(X0)
| ssPv2(X0)
| ssPv2(skf1(skf1(X1)))
| ssPv1(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(X0,skf1(skf1(X1)))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2820]) ).
tcf(c_2906,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(skf1(skf1(X0)))
| ~ ssPv4(X2)
| ~ ssPv4(skf1(X1))
| ~ ssRr(X1,skf1(X1))
| ~ ssPv3(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(X0)),X2)
| ~ ssRr(skf1(skf1(X0)),X1)
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_2821]) ).
tcf(c_2908,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(skf1(skf1(X0)))
| ~ ssPv4(X2)
| ~ ssPv1(skf1(X1))
| ~ ssRr(X1,skf1(X1))
| ~ ssPv3(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(X0)),X2)
| ~ ssRr(skf1(skf1(X0)),X1)
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_2823]) ).
tcf(c_2910,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(skf1(X2))
| ssPv2(skf1(skf1(X0)))
| ssPv1(skf1(skf1(X0)))
| ~ ssPv4(skf1(X1))
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(skf1(X0)),X2)
| ~ ssRr(skf1(skf1(X0)),X1) ),
inference(instantiation,[status(thm)],[c_2825]) ).
tcf(c_2912,plain,
! [X0: $i,X1: $i] :
( ssPv3(skf1(X1))
| ssPv2(skf1(skf1(X0)))
| ~ ssPv1(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_2827]) ).
tcf(c_2920,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv1(X0)
| ssPv3(skf1(X0))
| ssPv2(skf1(skf1(X1)))
| ~ ssPv1(skf1(X2))
| ~ ssRr(X0,X2)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(X0,skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_2833]) ).
tcf(c_2924,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv2(skf1(skf1(X1)))
| ~ ssPv2(X2)
| ~ ssPv3(skf1(X3))
| ~ ssPv3(skf1(X2))
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,skf1(X3))
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_2836]) ).
tcf(c_2930,plain,
! [X0: $i,X1: $i] :
( ssPv1(X0)
| ssPv1(skf1(skf1(X0)))
| ~ ssPv3(skf1(X1))
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(X1))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2843]) ).
tcf(c_2934,plain,
! [X0: $i] :
( ssPv3(skf1(X0))
| ~ ssPv1(X0)
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssPv1(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2849]) ).
tcf(c_2938,plain,
! [X0: $i] :
( ssPv1(skf1(X0))
| ssPv1(skf1(skf1(X0)))
| ~ ssPv3(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_2852]) ).
tcf(c_2955,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv1(X3)
| ssPv4(skf1(skf1(X0)))
| ~ ssPv3(X4)
| ~ ssRr(X1,X4)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(skf1(skf1(X0)),X3)
| ~ ssRr(skf1(skf1(X0)),X2)
| ~ ssRr(skf1(skf1(X0)),X1) ),
inference(instantiation,[status(thm)],[c_2855]) ).
tcf(c_2956,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv1(X3)
| ssPv2(skf1(X2))
| ssPv4(skf1(skf1(X0)))
| ~ ssRr(X1,X4)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(skf1(skf1(X0)),X3)
| ~ ssRr(skf1(skf1(X0)),X2)
| ~ ssRr(skf1(skf1(X0)),X1) ),
inference(instantiation,[status(thm)],[c_2856]) ).
tcf(c_2959,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv4(skf1(skf1(X0)))
| ~ ssPv4(X4)
| ~ ssPv1(X3)
| ~ ssPv2(skf1(X2))
| ~ ssRr(X1,X4)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(skf1(skf1(X0)),X3)
| ~ ssRr(skf1(skf1(X0)),X2)
| ~ ssRr(skf1(skf1(X0)),X1) ),
inference(instantiation,[status(thm)],[c_2858]) ).
tcf(c_2963,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv2(X4)
| ssPv1(skf1(X2))
| ssPv4(skf1(skf1(X0)))
| ~ ssPv2(X3)
| ~ ssRr(X1,X4)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(skf1(skf1(X0)),X3)
| ~ ssRr(skf1(skf1(X0)),X2)
| ~ ssRr(skf1(skf1(X0)),X1) ),
inference(instantiation,[status(thm)],[c_2860]) ).
tcf(c_2964,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv3(skf1(X2))
| ssPv4(skf1(skf1(X0)))
| ~ ssPv2(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_2861]) ).
tcf(c_2966,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv2(X3)
| ssPv2(skf1(X1))
| ssPv4(skf1(skf1(X0)))
| ~ ssPv3(X2)
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(skf1(X0)),X3)
| ~ ssRr(skf1(skf1(X0)),X2)
| ~ ssRr(skf1(skf1(X0)),X1) ),
inference(instantiation,[status(thm)],[c_2862]) ).
tcf(c_2968,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv3(X3)
| ssPv4(skf1(X1))
| ssPv4(skf1(skf1(X0)))
| ~ ssPv2(X2)
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(skf1(X0)),X3)
| ~ ssRr(skf1(skf1(X0)),X2)
| ~ ssRr(skf1(skf1(X0)),X1) ),
inference(instantiation,[status(thm)],[c_2863]) ).
tcf(c_2970,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv4(X3)
| ssPv1(skf1(X2))
| ssPv4(skf1(skf1(X0)))
| ~ ssRr(X1,X3)
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(skf1(skf1(X0)),X2)
| ~ ssRr(skf1(skf1(X0)),X1) ),
inference(instantiation,[status(thm)],[c_2864]) ).
tcf(c_2972,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X2)
| ssPv3(skf1(X1))
| ssPv4(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_2865]) ).
tcf(c_2974,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(skf1(X1))
| ssPv4(skf1(skf1(X0)))
| ssPv2(skf1(skf1(X0)))
| ~ ssPv3(X2)
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(skf1(X0)),X2)
| ~ ssRr(skf1(skf1(X0)),X1) ),
inference(instantiation,[status(thm)],[c_2866]) ).
tcf(c_2976,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv1(skf1(X1))
| ssPv4(skf1(skf1(X0)))
| ssPv3(skf1(skf1(X0)))
| ~ ssPv1(X2)
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(skf1(X0)),X2)
| ~ ssRr(skf1(skf1(X0)),X1) ),
inference(instantiation,[status(thm)],[c_2867]) ).
tcf(c_2978,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv2(skf1(X2))
| ssPv4(skf1(skf1(X1)))
| ~ ssPv3(X3)
| ~ ssPv2(X3)
| ~ ssRr(X3,X2)
| ~ ssRr(X3,X0)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_2874]) ).
tcf(c_2979,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv1(X2)
| ssPv4(skf1(skf1(X1)))
| ~ ssPv4(X2)
| ~ ssPv3(skf1(X2))
| ~ ssRr(X2,X0)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_2875]) ).
tcf(c_2981,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv2(X0)
| ssPv4(skf1(skf1(X1)))
| ~ ssPv4(X4)
| ~ ssPv3(skf1(X2))
| ~ ssRr(X3,X4)
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_2876]) ).
tcf(c_2983,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv2(X0)
| ssPv4(skf1(skf1(X1)))
| ~ ssPv2(X4)
| ~ ssPv1(skf1(X2))
| ~ ssRr(X3,X4)
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_2877]) ).
tcf(c_2984,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv2(skf1(X2))
| ssPv4(skf1(skf1(X1)))
| ~ ssPv3(X0)
| ~ ssPv2(X3)
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_2878]) ).
tcf(c_2985,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv4(X2)
| ssPv4(skf1(skf1(X1)))
| ~ ssPv3(X4)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_2879]) ).
tcf(c_2987,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv1(X2)
| ssPv3(skf1(X2))
| ssPv4(skf1(skf1(X1)))
| ~ ssPv1(X4)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_2881]) ).
tcf(c_2991,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(skf1(X0))
| ~ ssPv4(X2)
| ~ ssPv4(skf1(X1))
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),X1)
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2885]) ).
tcf(c_2993,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(skf1(X0))
| ~ ssPv4(X2)
| ~ ssPv1(skf1(X1))
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),X1)
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2887]) ).
tcf(c_3002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X2)
| ssPv2(skf1(X1))
| ~ ssPv4(X0)
| ~ ssPv1(X0)
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),skf1(X1)) ),
inference(instantiation,[status(thm)],[c_2896]) ).
tcf(c_3005,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X2)
| ssPv3(X0)
| ssPv2(skf1(X1))
| ~ ssPv1(X0)
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),skf1(X1)) ),
inference(instantiation,[status(thm)],[c_2898]) ).
tcf(c_3007,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv2(skf1(X1))
| ~ ssPv2(X2)
| ~ ssPv3(skf1(X3))
| ~ ssPv3(skf1(X2))
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,skf1(X3))
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(X1)) ),
inference(instantiation,[status(thm)],[c_2899]) ).
tcf(c_3013,plain,
! [X0: $i] :
( ssPv3(skf1(X0))
| ssPv2(skf1(X0))
| ssPv2(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_2904]) ).
tcf(c_3014,plain,
! [X0: $i,X1: $i] :
( ssPv2(skf1(skf1(X0)))
| ~ ssPv4(skf1(X1))
| ~ ssRr(X1,skf1(X1))
| ~ ssPv4(skf1(skf1(skf1(X0))))
| ~ ssPv3(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(X0)),X1)
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_2906]) ).
tcf(c_3016,plain,
! [X0: $i,X1: $i] :
( ssPv2(skf1(skf1(X0)))
| ~ ssPv1(skf1(X1))
| ~ ssRr(X1,skf1(X1))
| ~ ssPv4(skf1(skf1(skf1(X0))))
| ~ ssPv3(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(X0)),X1)
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_2908]) ).
tcf(c_3018,plain,
! [X0: $i,X1: $i] :
( ssPv2(skf1(skf1(X0)))
| ssPv1(skf1(skf1(X0)))
| ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv4(skf1(X1))
| ~ 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_2910]) ).
tcf(c_3020,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(X0)))
| ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv1(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_2912]) ).
tcf(c_3021,plain,
( ssPv2(skf1(skf1(iProver_bot)))
| ssPv3(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv1(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_3020]) ).
tcf(c_3027,plain,
! [X0: $i,X1: $i] :
( ssPv1(X0)
| ssPv3(skf1(X0))
| ssPv2(skf1(skf1(X1)))
| ~ ssPv1(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(X0,skf1(skf1(X1)))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2920]) ).
tcf(c_3031,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(skf1(skf1(X2)))
| ~ ssPv2(X0)
| ~ ssPv3(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(X1,skf1(skf1(X2)))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2924]) ).
tcf(c_3040,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ssPv4(X2)
| ~ ssPv3(X3)
| ~ ssPv1(X0)
| ~ ssPv3(skf1(X1))
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_128]) ).
tcf(c_3042,plain,
! [X0: $i] :
( ssPv1(X0)
| ssPv1(skf1(skf1(X0)))
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2930]) ).
tcf(c_3053,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(X0)))
| ~ ssPv1(skf1(X0))
| ~ ssPv3(skf1(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_2934]) ).
tcf(c_3054,plain,
! [X0: $i] :
( ssPv3(skf1(X0))
| ssPv1(skf1(skf1(skf1(X0))))
| ~ ssPv1(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_2845]) ).
tcf(c_3055,plain,
! [X0: $i,X1: $i] :
( ~ ssPv3(skf1(X1))
| ~ ssPv1(skf1(X0))
| ~ ssPv4(skf1(skf1(X0)))
| ~ ssPv3(skf1(skf1(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_2793]) ).
tcf(c_3068,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(X0)))
| ssPv1(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_2847]) ).
tcf(c_3069,plain,
( ssPv3(skf1(skf1(iProver_bot)))
| ssPv1(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_3068]) ).
tcf(c_3072,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(X0)))
| ssPv1(skf1(skf1(skf1(X0))))
| ~ ssPv3(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_2938]) ).
tcf(c_3076,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv1(X3)
| ssPv4(skf1(skf1(X0)))
| ~ ssPv3(skf1(X1))
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(skf1(X0)),X3)
| ~ ssRr(skf1(skf1(X0)),X2)
| ~ ssRr(skf1(skf1(X0)),X1) ),
inference(instantiation,[status(thm)],[c_2955]) ).
tcf(c_3078,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv1(X3)
| ssPv2(skf1(X2))
| ssPv4(skf1(skf1(X0)))
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(skf1(X0)),X3)
| ~ ssRr(skf1(skf1(X0)),X2)
| ~ ssRr(skf1(skf1(X0)),X1) ),
inference(instantiation,[status(thm)],[c_2956]) ).
tcf(c_3084,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv4(skf1(skf1(X0)))
| ~ ssPv1(X3)
| ~ ssPv4(skf1(X1))
| ~ ssPv2(skf1(X2))
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(skf1(X0)),X3)
| ~ ssRr(skf1(skf1(X0)),X2)
| ~ ssRr(skf1(skf1(X0)),X1) ),
inference(instantiation,[status(thm)],[c_2959]) ).
tcf(c_3086,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv2(skf1(X1))
| ssPv1(skf1(X2))
| ssPv4(skf1(skf1(X0)))
| ~ ssPv2(X3)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(skf1(X0)),X3)
| ~ ssRr(skf1(skf1(X0)),X2)
| ~ ssRr(skf1(skf1(X0)),X1) ),
inference(instantiation,[status(thm)],[c_2963]) ).
tcf(c_3088,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(skf1(X2))
| ssPv4(skf1(skf1(X0)))
| ~ ssPv2(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_2964]) ).
tcf(c_3089,plain,
! [X0: $i,X1: $i] :
( ssPv4(X0)
| ssPv2(X0)
| ssPv2(skf1(skf1(X0)))
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_2172]) ).
tcf(c_3090,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(skf1(X1))
| ssPv4(skf1(skf1(X0)))
| ssPv2(skf1(skf1(skf1(X0))))
| ~ ssPv3(X2)
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(skf1(X0)),X2)
| ~ ssRr(skf1(skf1(X0)),X1)
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_2966]) ).
tcf(c_3092,plain,
! [X0: $i] :
( ssPv4(X0)
| ssPv2(X0)
| ssPv2(skf1(skf1(X0)))
| ~ ssPv3(skf1(X0)) ),
inference(superposition,[status(thm)],[c_100,c_3089]) ).
tcf(c_3094,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(skf1(X1))
| ssPv4(skf1(skf1(X0)))
| ssPv3(skf1(skf1(skf1(X0))))
| ~ ssPv2(X2)
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(skf1(X0)),X2)
| ~ ssRr(skf1(skf1(X0)),X1)
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_2968]) ).
tcf(c_3096,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(skf1(X1))
| ssPv1(skf1(X2))
| ssPv4(skf1(skf1(X0)))
| ~ ssPv3(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_2970]) ).
tcf(c_3098,plain,
! [X0: $i,X1: $i] :
( ssPv3(skf1(X1))
| ssPv4(skf1(skf1(X0)))
| ssPv3(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_2972]) ).
tcf(c_3102,plain,
! [X0: $i,X1: $i] :
( ssPv2(skf1(X1))
| ssPv4(skf1(skf1(X0)))
| 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_2974]) ).
tcf(c_3104,plain,
! [X0: $i,X1: $i] :
( ssPv1(skf1(X1))
| ssPv4(skf1(skf1(X0)))
| ssPv3(skf1(skf1(X0)))
| ~ ssRr(X1,skf1(X1))
| ~ ssPv1(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(X0)),X1)
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_2976]) ).
tcf(c_3107,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(skf1(skf1(X2)))
| ssPv2(skf1(skf1(X0)))
| ~ ssPv3(X0)
| ~ ssPv2(X0)
| ~ ssRr(X0,X1)
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(X1,skf1(skf1(X2)))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2978]) ).
tcf(c_3109,plain,
! [X0: $i,X1: $i] :
( ssPv1(X0)
| ssPv4(skf1(skf1(X1)))
| ~ ssPv4(X0)
| ~ ssPv3(skf1(X0))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_2979]) ).
tcf(c_3111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv2(X0)
| ssPv4(skf1(skf1(X1)))
| ~ ssPv4(skf1(X3))
| ~ ssPv3(skf1(X2))
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssRr(X3,skf1(X3))
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_2981]) ).
tcf(c_3114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv2(X0)
| ssPv4(skf1(skf1(X1)))
| ~ ssPv2(skf1(X3))
| ~ ssPv1(skf1(X2))
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssRr(X3,skf1(X3))
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_2983]) ).
tcf(c_3115,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(skf1(X2))
| ssPv4(skf1(skf1(X1)))
| ~ ssPv3(X0)
| ~ ssPv2(skf1(X0))
| ~ ssRr(X0,X2)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(X0,skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_2984]) ).
tcf(c_3116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv4(X2)
| ssPv4(skf1(skf1(X1)))
| ~ ssPv3(skf1(X3))
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,skf1(X3))
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_2985]) ).
tcf(c_3120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv1(X2)
| ssPv3(skf1(X2))
| ssPv4(skf1(skf1(X1)))
| ~ ssPv1(skf1(X3))
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,skf1(X3))
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_2987]) ).
tcf(c_3161,plain,
! [X0: $i,X1: $i] :
( ssPv2(skf1(X0))
| ~ ssPv4(skf1(X1))
| ~ ssPv4(skf1(skf1(X0)))
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(X0),X1)
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2991]) ).
tcf(c_3163,plain,
! [X0: $i,X1: $i] :
( ssPv2(skf1(X0))
| ~ ssPv1(skf1(X1))
| ~ ssPv4(skf1(skf1(X0)))
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(X0),X1)
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2993]) ).
tcf(c_3177,plain,
! [X0: $i,X1: $i] :
( ssPv2(skf1(X1))
| ssPv3(skf1(skf1(X0)))
| ~ ssPv4(X0)
| ~ ssPv1(X0)
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(X1))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_3002]) ).
tcf(c_3195,plain,
! [X0: $i,X1: $i] :
( ssPv3(X0)
| ssPv2(skf1(X1))
| ssPv3(skf1(skf1(X0)))
| ~ ssPv1(X0)
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(X1))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_3005]) ).
tcf(c_3197,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(skf1(X2))
| ~ ssPv2(X0)
| ~ ssPv3(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssRr(X1,skf1(X2))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_3007]) ).
tcf(c_3222,plain,
! [X0: $i,X1: $i] :
( ssPv4(X0)
| ssPv3(X1)
| ssPv3(skf1(skf1(X0)))
| ~ ssPv3(X0)
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_2183]) ).
tcf(c_3223,plain,
! [X0: $i,X1: $i] :
( ssPv2(X0)
| ssPv3(skf1(skf1(X0)))
| ~ ssPv4(X1)
| ~ ssPv1(X0)
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_2196]) ).
tcf(c_3225,plain,
! [X0: $i,X1: $i] :
( ssPv1(X0)
| ssPv4(skf1(skf1(X0)))
| ~ ssPv4(X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_2284]) ).
tcf(c_3242,plain,
! [X0: $i,X1: $i] :
( ssPv1(X0)
| ~ ssPv3(X0)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1)
| ~ ssPv4(skf1(skf1(X0))) ),
inference(superposition,[status(thm)],[c_100,c_2305]) ).
tcf(c_3244,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X0)
| ssPv2(X2)
| ssPv3(skf1(skf1(X0)))
| ~ ssPv1(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_2321]) ).
tcf(c_3290,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(X0)))
| ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv2(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_2758]) ).
tcf(c_3619,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X0)
| ssPv1(X2)
| ssPv4(skf1(skf1(X0)))
| ~ ssPv3(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_2337]) ).
tcf(c_3620,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(X0)))
| ~ ssPv4(skf1(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_3014]) ).
tcf(c_3621,plain,
( ssPv2(skf1(skf1(iProver_bot)))
| ~ ssPv4(skf1(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_3620]) ).
tcf(c_3622,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(X0)))
| ~ ssPv4(skf1(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_3016]) ).
tcf(c_3624,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(X0)))
| ssPv1(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_3018]) ).
tcf(c_3626,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X1)
| ssPv2(X2)
| ssPv1(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1)
| ~ ssPv1(skf1(skf1(X0))) ),
inference(superposition,[status(thm)],[c_100,c_2390]) ).
tcf(c_3711,plain,
! [X0: $i] :
( ssPv1(skf1(X0))
| ssPv3(skf1(skf1(X0)))
| ssPv2(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_3027]) ).
tcf(c_3748,plain,
! [X0: $i,X1: $i] :
( ssPv2(skf1(skf1(X1)))
| ~ ssPv2(X0)
| ~ ssPv3(skf1(X0))
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X1)))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_3031]) ).
tcf(c_3749,plain,
( ssPv2(skf1(skf1(iProver_bot)))
| ~ ssPv2(iProver_bot)
| ~ ssPv3(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_3748]) ).
tcf(c_4108,plain,
! [X0: $i] :
( ssPv1(skf1(X0))
| ssPv1(skf1(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_3042]) ).
tcf(c_4130,plain,
! [X0: $i] :
( ~ ssPv1(skf1(X0))
| ~ ssPv4(skf1(skf1(X0)))
| ~ ssPv3(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_3055]) ).
tcf(c_4131,plain,
( ~ ssPv1(skf1(iProver_bot))
| ~ ssPv4(skf1(skf1(iProver_bot)))
| ~ ssPv3(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_4130]) ).
tcf(c_4134,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(X0))))
| ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv4(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_2854]) ).
tcf(c_4137,plain,
( ssPv3(skf1(skf1(skf1(iProver_bot))))
| ssPv3(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv4(skf1(skf1(iProver_bot)))
| ~ ssPv2(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_4134]) ).
tcf(c_4144,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(skf1(skf1(X0)))
| ssPv1(skf1(skf1(skf1(X0))))
| ~ ssPv3(skf1(X1))
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(skf1(X0)),X2)
| ~ ssRr(skf1(skf1(X0)),X1)
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_3076]) ).
tcf(c_4146,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(skf1(X2))
| ssPv4(skf1(skf1(X0)))
| ssPv1(skf1(skf1(skf1(X0))))
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(skf1(X0)),X2)
| ~ ssRr(skf1(skf1(X0)),X1)
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_3078]) ).
tcf(c_4173,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(skf1(skf1(X0)))
| ~ ssPv4(skf1(X1))
| ~ ssPv2(skf1(X2))
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X1,skf1(X1))
| ~ ssPv1(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(X0)),X2)
| ~ ssRr(skf1(skf1(X0)),X1)
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_3084]) ).
tcf(c_4177,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(skf1(X1))
| ssPv1(skf1(X2))
| ssPv4(skf1(skf1(X0)))
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X1,skf1(X1))
| ~ ssPv2(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(X0)),X2)
| ~ ssRr(skf1(skf1(X0)),X1)
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_3086]) ).
tcf(c_4179,plain,
! [X0: $i,X1: $i] :
( ssPv4(skf1(skf1(X0)))
| ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv2(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_3088]) ).
tcf(c_4180,plain,
! [X0: $i,X1: $i] :
( ssPv2(skf1(X1))
| ssPv4(skf1(skf1(X0)))
| ssPv2(skf1(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_3090]) ).
tcf(c_4182,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X0)
| ssPv2(X2)
| ssPv2(skf1(skf1(X0)))
| ~ ssPv3(X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_2420]) ).
tcf(c_4197,plain,
! [X0: $i,X1: $i] :
( ssPv4(skf1(X1))
| ssPv4(skf1(skf1(X0)))
| ssPv3(skf1(skf1(skf1(X0))))
| ~ ssRr(X1,skf1(X1))
| ~ ssPv2(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(X0)),X1)
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_3094]) ).
tcf(c_4213,plain,
! [X0: $i,X1: $i] :
( ssPv4(skf1(X1))
| ssPv4(skf1(skf1(X0)))
| ssPv1(skf1(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))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0))))) ),
inference(instantiation,[status(thm)],[c_3096]) ).
tcf(c_4233,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(X0)))
| ssPv3(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_3098]) ).
tcf(c_4235,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X2)
| ssPv2(X0)
| ssPv1(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ~ ssPv4(skf1(skf1(X0))) ),
inference(superposition,[status(thm)],[c_100,c_2431]) ).
tcf(c_4236,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(X0)))
| ssPv2(skf1(skf1(X0)))
| ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv3(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_3102]) ).
tcf(c_4238,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(X0)))
| ssPv3(skf1(skf1(X0)))
| ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv1(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_3104]) ).
tcf(c_4240,plain,
! [X0: $i,X1: $i] :
( ssPv4(skf1(skf1(X1)))
| ssPv2(skf1(skf1(X0)))
| ~ ssPv3(X0)
| ~ ssPv2(X0)
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X1)))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_3107]) ).
tcf(c_4242,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv4(X0)
| ssPv2(X3)
| ssPv1(X2)
| ~ ssRr(X1,X3)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_2513]) ).
tcf(c_4259,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv3(X3)
| ssPv1(X2)
| ssPv2(skf1(X2))
| ~ ssPv1(X1)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[c_112,c_100]) ).
tcf(c_4260,plain,
! [X0: $i,X1: $i] :
( ssPv1(skf1(X0))
| ssPv4(skf1(skf1(X1)))
| ~ ssPv4(skf1(X0))
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssRr(skf1(X0),skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_3109]) ).
tcf(c_4262,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(X0)
| ssPv4(skf1(skf1(X1)))
| ~ ssPv3(skf1(X2))
| ~ ssRr(X0,X2)
| ~ ssPv4(skf1(skf1(X0)))
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(X0,skf1(skf1(X1)))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_3111]) ).
tcf(c_4263,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(X0)
| ssPv4(skf1(skf1(X1)))
| ~ ssPv1(skf1(X2))
| ~ ssRr(X0,X2)
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(X0,skf1(skf1(X1)))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_3114]) ).
tcf(c_4267,plain,
! [X0: $i,X1: $i] :
( ssPv4(skf1(skf1(X1)))
| ssPv2(skf1(skf1(X0)))
| ~ ssPv3(X0)
| ~ ssPv2(skf1(X0))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(X0,skf1(skf1(X1)))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_3115]) ).
tcf(c_4269,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X0)
| ssPv4(skf1(skf1(X2)))
| ~ ssRr(X0,X1)
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(X1,skf1(skf1(X2)))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_3116]) ).
tcf(c_4289,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv1(X0)
| ssPv3(skf1(X0))
| ssPv4(skf1(skf1(X2)))
| ~ ssRr(X0,X1)
| ~ ssPv1(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(X1,skf1(skf1(X2)))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_3120]) ).
tcf(c_4341,plain,
! [X0: $i] :
( ssPv2(skf1(X0))
| ~ ssPv4(skf1(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_3161]) ).
tcf(c_4342,plain,
( ssPv2(skf1(iProver_bot))
| ~ ssPv4(skf1(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_4341]) ).
tcf(c_4380,plain,
! [X0: $i] :
( ssPv2(skf1(X0))
| ~ ssPv4(skf1(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_3163]) ).
tcf(c_4397,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(X0)))
| ssPv2(skf1(skf1(X0)))
| ~ ssPv4(X0)
| ~ ssPv1(X0)
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_3177]) ).
tcf(c_4418,plain,
! [X0: $i] :
( ssPv2(X0)
| ssPv3(skf1(skf1(X0)))
| ~ ssPv1(X0)
| ~ ssPv4(skf1(X0)) ),
inference(superposition,[status(thm)],[c_100,c_3223]) ).
tcf(c_4456,plain,
! [X0: $i] :
( ssPv3(X0)
| ssPv3(skf1(skf1(X0)))
| ssPv2(skf1(skf1(X0)))
| ~ ssPv1(X0)
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_3195]) ).
tcf(c_4475,plain,
! [X0: $i,X1: $i] :
( ssPv2(skf1(X1))
| ~ ssPv2(X0)
| ~ ssPv3(skf1(X0))
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(X1))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_3197]) ).
tcf(c_4551,plain,
! [X0: $i] :
( ssPv1(X0)
| ssPv4(skf1(skf1(X0)))
| ~ ssPv4(X0)
| ~ ssPv3(skf1(X0)) ),
inference(superposition,[status(thm)],[c_100,c_3225]) ).
tcf(c_4572,plain,
! [X0: $i] :
( ssPv3(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_3054]) ).
tcf(c_4573,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(X0))))
| ~ ssPv1(skf1(skf1(X0)))
| ~ ssPv3(skf1(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_3053]) ).
tcf(c_4574,plain,
! [X0: $i] :
( ssPv3(skf1(X0))
| ~ ssPv4(skf1(X0))
| ~ ssPv1(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_2695]) ).
tcf(c_4575,plain,
( ssPv3(skf1(iProver_bot))
| ~ ssPv4(skf1(iProver_bot))
| ~ ssPv1(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_4574]) ).
tcf(c_4576,plain,
( ssPv3(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv1(skf1(skf1(iProver_bot)))
| ~ ssPv3(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv1(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_4573]) ).
tcf(c_4577,plain,
( ssPv3(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_4572]) ).
tcf(c_4583,plain,
! [X0: $i,X1: $i] :
( ssPv1(X0)
| ~ ssPv4(X0)
| ~ ssPv3(X0)
| ~ ssPv2(X1)
| ~ ssPv3(skf1(X0))
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_4551,c_3242]) ).
tcf(c_4590,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X2)
| ssPv3(skf1(skf1(X0)))
| ~ ssPv4(X0)
| ~ ssPv2(X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_2441]) ).
tcf(c_4648,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv3(X3)
| ssPv3(X2)
| ssPv4(skf1(X0))
| ~ ssPv3(skf1(X0))
| ~ ssRr(X1,X3)
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_4673,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv1(X2)
| ssPv3(skf1(X2))
| ssPv2(skf1(X2))
| ~ ssPv1(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[c_4259,c_100]) ).
tcf(c_4714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv4(X3)
| ssPv4(skf1(X0))
| ~ ssPv3(X2)
| ~ ssRr(X3,X4)
| ~ ssRr(X3,X1)
| ~ ssRr(X3,X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_178]) ).
tcf(c_4720,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X0)
| ssPv2(X1)
| ssPv1(X2)
| ~ ssRr(X0,X2)
| ~ ssRr(skf1(X0),X1) ),
inference(superposition,[status(thm)],[c_100,c_4242]) ).
tcf(c_4723,plain,
! [X0: $i,X1: $i] :
( ssPv4(X0)
| ssPv1(X1)
| ssPv2(skf1(skf1(X0)))
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_4720]) ).
tcf(c_4737,plain,
! [X0: $i,X1: $i] :
( ssPv1(X0)
| ssPv3(skf1(X0))
| ssPv2(skf1(X0))
| ~ ssPv1(X1)
| ~ ssRr(skf1(X0),X1) ),
inference(resolution,[status(thm)],[c_4673,c_100]) ).
tcf(c_4765,plain,
! [X0: $i] :
( ~ ssPv1(skf1(skf1(X0)))
| ~ ssPv4(skf1(skf1(skf1(X0))))
| ~ ssPv3(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_4130]) ).
tcf(c_4766,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(X0))))
| ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv3(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_3072]) ).
tcf(c_4767,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(X0)))
| ssPv1(skf1(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_4108]) ).
tcf(c_4769,plain,
( ssPv1(skf1(skf1(skf1(iProver_bot))))
| ssPv1(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv3(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_4766]) ).
tcf(c_4770,plain,
( ~ ssPv1(skf1(skf1(iProver_bot)))
| ~ ssPv4(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv3(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_4765]) ).
tcf(c_4771,plain,
! [X0: $i] :
( ssPv4(X0)
| ssPv1(skf1(X0))
| ssPv2(skf1(skf1(X0))) ),
inference(superposition,[status(thm)],[c_100,c_4723]) ).
tcf(c_4783,plain,
! [X0: $i,X1: $i] :
( ssPv4(skf1(skf1(X0)))
| ssPv1(skf1(skf1(skf1(X0))))
| ~ ssPv3(skf1(X1))
| ~ 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_4144]) ).
tcf(c_4785,plain,
! [X0: $i,X1: $i] :
( ssPv4(skf1(skf1(X0)))
| ssPv1(skf1(skf1(skf1(X0))))
| ssPv2(skf1(skf1(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_4146]) ).
tcf(c_4805,plain,
! [X0: $i,X1: $i] :
( ssPv4(skf1(skf1(X0)))
| ~ ssPv4(skf1(X1))
| ~ ssRr(X1,skf1(X1))
| ~ ssPv1(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(X0)),X1)
| ~ 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_4173]) ).
tcf(c_4807,plain,
! [X0: $i,X1: $i] :
( ssPv3(X0)
| ssPv2(X1)
| ssPv3(skf1(skf1(X0)))
| ~ ssPv1(X0)
| ~ ssRr(skf1(X0),X1) ),
inference(superposition,[status(thm)],[c_100,c_3244]) ).
tcf(c_4811,plain,
! [X0: $i,X1: $i] :
( ssPv2(skf1(X1))
| ssPv4(skf1(skf1(X0)))
| ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(X1,skf1(X1))
| ~ ssPv2(skf1(skf1(skf1(X0))))
| ~ 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_4177]) ).
tcf(c_4813,plain,
! [X0: $i] :
( ssPv3(X0)
| ssPv3(skf1(skf1(X0)))
| ssPv2(skf1(skf1(X0)))
| ~ ssPv1(X0) ),
inference(superposition,[status(thm)],[c_100,c_4807]) ).
tcf(c_4815,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(X0)))
| ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv1(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_4179]) ).
tcf(c_4816,plain,
( ssPv4(skf1(skf1(iProver_bot)))
| ssPv3(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv1(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_4815]) ).
tcf(c_4817,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(X0)))
| ssPv2(skf1(skf1(skf1(X0))))
| ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv3(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_4180]) ).
tcf(c_4819,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(X0)))
| ssPv3(skf1(skf1(skf1(X0))))
| ssPv4(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_4197]) ).
tcf(c_4833,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(X0)))
| ssPv4(skf1(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_4213]) ).
tcf(c_4853,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(X0))))
| ssPv3(skf1(skf1(skf1(X0))))
| ssPv1(skf1(skf1(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_4238]) ).
tcf(c_4854,plain,
( ssPv4(skf1(skf1(skf1(iProver_bot))))
| ssPv3(skf1(skf1(skf1(iProver_bot))))
| ssPv1(skf1(skf1(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_4853]) ).
tcf(c_4856,plain,
! [X0: $i] :
( ssPv1(skf1(X0))
| ssPv4(skf1(skf1(skf1(X0))))
| ~ ssPv4(skf1(X0))
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssRr(skf1(X0),skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_4260]) ).
tcf(c_4857,plain,
( ssPv1(skf1(iProver_bot))
| ssPv4(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv4(skf1(iProver_bot))
| ~ ssPv3(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_4856]) ).
tcf(c_4858,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(X2)
| ssPv3(skf1(skf1(X0)))
| ~ ssPv4(X0)
| ~ ssPv1(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_2503]) ).
tcf(c_4859,plain,
! [X0: $i,X1: $i] :
( ssPv2(X0)
| ssPv4(skf1(skf1(X1)))
| ~ ssPv4(skf1(skf1(X0)))
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(X0,skf1(skf1(X1)))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_4262]) ).
tcf(c_4860,plain,
! [X0: $i,X1: $i] :
( ssPv2(X0)
| ssPv4(skf1(skf1(X1)))
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssPv1(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(X0,skf1(skf1(X1)))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_4263]) ).
tcf(c_4862,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(X0)))
| ssPv2(skf1(skf1(skf1(X0))))
| ~ ssPv3(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_4267]) ).
tcf(c_4864,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X2)
| ssPv1(X0)
| ~ ssPv2(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ~ ssPv2(skf1(skf1(X0))) ),
inference(superposition,[status(thm)],[c_100,c_2504]) ).
tcf(c_4873,plain,
! [X0: $i,X1: $i] :
( ssPv4(X0)
| ssPv4(skf1(skf1(X1)))
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X1)))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_4269]) ).
tcf(c_4892,plain,
! [X0: $i,X1: $i] :
( ssPv1(X0)
| ssPv3(skf1(X0))
| ssPv4(skf1(skf1(X1)))
| ~ ssPv1(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X1)))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_4289]) ).
tcf(c_4898,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X0)
| ssPv2(X2)
| ssPv2(X0)
| ~ ssPv3(skf1(X0))
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_4916,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X0)
| ssPv3(X2)
| ssPv3(skf1(X0))
| ~ ssPv3(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_4919,plain,
! [X0: $i,X1: $i] :
( ssPv4(X0)
| ssPv1(X1)
| ssPv4(skf1(skf1(X0)))
| ~ ssPv3(X0)
| ~ ssRr(skf1(X0),X1) ),
inference(superposition,[status(thm)],[c_100,c_3619]) ).
tcf(c_4922,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv4(X3)
| ssPv3(skf1(X0))
| ~ ssPv2(X2)
| ~ ssPv1(X3)
| ~ ssRr(X3,X1)
| ~ ssRr(X3,X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_4924,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv4(X3)
| ssPv2(X2)
| ssPv1(skf1(X0))
| ~ ssPv2(X4)
| ~ ssRr(X3,X4)
| ~ ssRr(X3,X1)
| ~ ssRr(X3,X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_133]) ).
tcf(c_4925,plain,
! [X0: $i] :
( ssPv4(X0)
| ssPv4(skf1(skf1(X0)))
| ssPv1(skf1(skf1(X0)))
| ~ ssPv3(X0) ),
inference(superposition,[status(thm)],[c_100,c_4919]) ).
tcf(c_4946,plain,
! [X0: $i,X1: $i] :
( ssPv4(X0)
| ssPv1(X0)
| ssPv1(skf1(skf1(X0)))
| ~ ssPv3(X0)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_4925,c_3242]) ).
tcf(c_4958,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(X0))))
| ssPv1(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_3068]) ).
tcf(c_4960,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(X0))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv2(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_3290]) ).
tcf(c_4961,plain,
( ssPv1(skf1(skf1(skf1(iProver_bot))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv2(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_4960]) ).
tcf(c_4962,plain,
( ssPv3(skf1(skf1(skf1(iProver_bot))))
| ssPv1(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_4958]) ).
tcf(c_4967,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X0)
| ssPv3(X1)
| ssPv3(X0)
| ssPv2(X2)
| ssPv1(X0)
| ~ ssPv1(skf1(X0))
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_2506,c_3626]) ).
tcf(c_4985,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(X0)))
| ~ ssPv2(X0)
| ~ ssPv3(skf1(X0))
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_4475]) ).
tcf(c_5015,plain,
! [X0: $i] :
( ssPv3(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_4572]) ).
tcf(c_5016,plain,
( ssPv3(skf1(skf1(skf1(iProver_bot))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv1(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_5015]) ).
tcf(c_5091,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X2)
| ssPv4(skf1(X0))
| ssPv3(skf1(X1))
| ~ ssPv3(skf1(X0))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_4648]) ).
tcf(c_5094,plain,
! [X0: $i,X1: $i] :
( ssPv4(X0)
| ssPv2(X1)
| ssPv2(skf1(skf1(X0)))
| ~ ssPv3(skf1(X0))
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_4182]) ).
tcf(c_5100,plain,
! [X0: $i] :
( ssPv4(X0)
| ssPv2(skf1(X0))
| ssPv2(skf1(skf1(X0)))
| ~ ssPv3(skf1(X0)) ),
inference(superposition,[status(thm)],[c_100,c_5094]) ).
tcf(c_5119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv4(X1)
| ssPv4(skf1(X0))
| ~ ssPv3(X3)
| ~ ssRr(X2,X3)
| ~ ssRr(X1,X2)
| ~ ssRr(X1,X0)
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_4714]) ).
tcf(c_5124,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X0)
| ssPv3(X2)
| ssPv2(X0)
| ssPv1(X0)
| ssPv1(skf1(skf1(X0)))
| ~ ssPv3(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_4925,c_4235]) ).
tcf(c_5125,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X2)
| ssPv2(X0)
| ssPv1(X0)
| ~ ssPv4(X0)
| ~ ssPv3(skf1(X0))
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_4551,c_4235]) ).
tcf(c_5133,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(X0))))
| ssPv3(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_4233]) ).
tcf(c_5135,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv4(skf1(skf1(skf1(X0))))
| ~ ssPv2(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_4134]) ).
tcf(c_5136,plain,
( ssPv3(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv4(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv2(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_5135]) ).
tcf(c_5138,plain,
( ssPv4(skf1(skf1(skf1(iProver_bot))))
| ssPv3(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv3(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_5133]) ).
tcf(c_5143,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(X0))))
| ssPv1(skf1(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_4767]) ).
tcf(c_5178,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(X0)))
| ssPv1(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_4783]) ).
tcf(c_5197,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(X0)))
| ssPv1(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_4785]) ).
tcf(c_5201,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(X0)))
| ssPv2(skf1(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_4811]) ).
tcf(c_5202,plain,
( ssPv4(skf1(skf1(iProver_bot)))
| ssPv2(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv1(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv2(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_5201]) ).
tcf(c_5203,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X0)
| ssPv3(X2)
| ~ ssPv1(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ~ ssPv2(skf1(skf1(X0))) ),
inference(superposition,[status(thm)],[c_100,c_2511]) ).
tcf(c_5232,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(X0))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv1(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_4815]) ).
tcf(c_5233,plain,
( ssPv4(skf1(skf1(skf1(iProver_bot))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv1(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_5232]) ).
tcf(c_5239,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssPv4(X2)
| ~ ssPv2(X5)
| ~ ssPv1(X4)
| ~ ssRr(X3,X5)
| ~ ssRr(X2,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssPv4(skf1(skf1(X1)))
| ~ ssRr(X0,skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_145]) ).
tcf(c_5246,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv4(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_4397]) ).
tcf(c_5247,plain,
( ssPv3(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv2(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv4(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_5246]) ).
tcf(c_5249,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(X0)))
| ~ ssPv4(skf1(skf1(X0)))
| ~ ssPv1(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_4574]) ).
tcf(c_5251,plain,
( ssPv3(skf1(skf1(iProver_bot)))
| ~ ssPv4(skf1(skf1(iProver_bot)))
| ~ ssPv1(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_5249]) ).
tcf(c_5252,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(X0))))
| ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv2(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_4819]) ).
tcf(c_5254,plain,
! [X0: $i,X1: $i] :
( ssPv4(skf1(skf1(X0)))
| ~ ssPv4(skf1(skf1(X1)))
| ~ ssPv1(skf1(skf1(skf1(X0))))
| ~ ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(X1),skf1(skf1(X1)))
| ~ ssRr(skf1(skf1(X0)),skf1(X1))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0))))) ),
inference(instantiation,[status(thm)],[c_4805]) ).
tcf(c_5255,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(X0)
| ~ ssPv4(X1)
| ~ ssPv3(X2)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1)
| ~ ssPv1(skf1(skf1(X0))) ),
inference(superposition,[status(thm)],[c_100,c_2527]) ).
tcf(c_5256,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(X2)
| ~ ssPv4(X0)
| ~ ssPv3(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ~ ssPv2(skf1(skf1(X0))) ),
inference(superposition,[status(thm)],[c_100,c_2537]) ).
tcf(c_5257,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(X0)
| ~ ssPv4(X1)
| ~ ssPv3(X2)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1)
| ~ ssPv4(skf1(skf1(X0))) ),
inference(superposition,[status(thm)],[c_100,c_2547]) ).
tcf(c_5303,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(X0))))
| ssPv4(skf1(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_4833]) ).
tcf(c_5304,plain,
( ssPv4(skf1(skf1(skf1(iProver_bot))))
| ssPv4(skf1(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_5303]) ).
tcf(c_5306,plain,
! [X0: $i,X1: $i] :
( ssPv3(X1)
| ssPv3(skf1(skf1(X0)))
| ~ ssPv4(X0)
| ~ ssPv2(skf1(X0))
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_4590]) ).
tcf(c_5346,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(X0)))
| ssPv4(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv4(skf1(skf1(X0)))
| ~ ssPv3(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_4856]) ).
tcf(c_5347,plain,
( ssPv1(skf1(skf1(iProver_bot)))
| ssPv4(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv4(skf1(skf1(iProver_bot)))
| ~ ssPv3(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_5346]) ).
tcf(c_5348,plain,
! [X0: $i] :
( ssPv2(skf1(X0))
| ssPv4(skf1(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_4859]) ).
tcf(c_5350,plain,
! [X0: $i] :
( ssPv2(skf1(X0))
| ssPv4(skf1(skf1(X0)))
| ~ ssPv2(skf1(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_4860]) ).
tcf(c_5352,plain,
! [X0: $i] :
( ssPv3(skf1(X0))
| ssPv3(skf1(skf1(X0)))
| ~ ssPv4(X0)
| ~ ssPv2(skf1(X0)) ),
inference(superposition,[status(thm)],[c_100,c_5306]) ).
tcf(c_5365,plain,
! [X0: $i,X1: $i] :
( 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_4873]) ).
tcf(c_5370,plain,
! [X0: $i,X1: $i] :
( ssPv1(skf1(X0))
| ssPv4(skf1(skf1(X1)))
| ssPv3(skf1(skf1(X0)))
| ~ ssPv1(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_4892]) ).
tcf(c_5397,plain,
! [X0: $i,X1: $i] :
( ssPv4(X0)
| ssPv2(X0)
| ssPv2(skf1(X1))
| ~ ssPv3(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_4898]) ).
tcf(c_5446,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X0)
| ssPv3(skf1(X2))
| ~ ssPv2(X1)
| ~ ssPv1(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_4922]) ).
tcf(c_5447,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv4(X1)
| ssPv2(X3)
| ssPv1(skf1(X0))
| ~ ssPv2(skf1(X1))
| ~ ssRr(X2,X3)
| ~ ssRr(X1,X2)
| ~ ssRr(X1,X0)
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_4924]) ).
tcf(c_5465,plain,
! [X0: $i] :
( ssPv1(X0)
| ssPv3(skf1(X0))
| ssPv2(skf1(X0))
| ~ ssPv1(skf1(skf1(X0))) ),
inference(resolution,[status(thm)],[c_4737,c_100]) ).
tcf(c_5478,plain,
! [X0: $i] :
( ssPv3(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_4456]) ).
tcf(c_5479,plain,
! [X0: $i,X1: $i] :
( ssPv4(skf1(skf1(X1)))
| ssPv2(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv3(skf1(skf1(skf1(X0))))
| ~ ssPv2(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(skf1(skf1(X0)))),skf1(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_4240]) ).
tcf(c_5480,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssPv3(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_4236]) ).
tcf(c_5481,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ssPv3(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_3711]) ).
tcf(c_5482,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv1(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_3624]) ).
tcf(c_5483,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv4(skf1(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_3622]) ).
tcf(c_5486,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv3(skf1(skf1(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(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_3020]) ).
tcf(c_5487,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ssPv2(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_3013]) ).
tcf(c_5488,plain,
( ssPv3(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv2(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_5487]) ).
tcf(c_5489,plain,
( ssPv2(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))))))
| ~ 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_5486]) ).
tcf(c_5492,plain,
( ssPv2(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv4(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(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_5483]) ).
tcf(c_5493,plain,
( ssPv2(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))))))))
| ~ 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_5482]) ).
tcf(c_5495,plain,
( ssPv4(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssPv3(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_5480]) ).
tcf(c_5497,plain,
( ssPv3(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_5478]) ).
tcf(c_5498,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(X0)))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv3(skf1(skf1(skf1(X0))))
| ~ ssPv2(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_4862]) ).
tcf(c_5499,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(X0)))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv3(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_4817]) ).
tcf(c_5502,plain,
( ssPv4(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv3(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_5499]) ).
tcf(c_5535,plain,
! [X0: $i,X1: $i] :
( ssPv2(X1)
| ssPv3(skf1(skf1(X0)))
| ~ ssPv4(X0)
| ~ ssPv1(X0)
| ~ ssRr(skf1(X0),X1) ),
inference(superposition,[status(thm)],[c_100,c_4858]) ).
tcf(c_5588,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssPv4(X1)
| ~ ssPv3(X2)
| ~ ssPv1(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1)
| ~ ssPv3(skf1(skf1(X0))) ),
inference(superposition,[status(thm)],[c_100,c_3040]) ).
tcf(c_5607,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv2(skf1(skf1(skf1(X0))))
| ~ ssPv3(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_4985]) ).
tcf(c_5608,plain,
( ssPv2(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv2(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv3(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_5607]) ).
tcf(c_5623,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(X0)))
| ssPv2(skf1(skf1(X0)))
| ~ ssPv4(X0)
| ~ ssPv1(X0) ),
inference(superposition,[status(thm)],[c_100,c_5535]) ).
tcf(c_5689,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X0)
| ssPv3(X2)
| ssPv1(X0)
| ssPv2(skf1(X0))
| ~ ssPv2(X0)
| ~ ssPv3(skf1(X0))
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_5100,c_4864]) ).
tcf(c_5717,plain,
! [X0: $i,X1: $i] :
( ssPv4(skf1(X0))
| ssPv3(skf1(X1))
| ssPv3(skf1(skf1(X0)))
| ~ ssPv3(skf1(X0))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(skf1(X0),X1)
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_5091]) ).
tcf(c_5762,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X1)
| ssPv4(skf1(X0))
| ~ ssPv3(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_5119]) ).
tcf(c_5767,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X0)
| ssPv3(X2)
| ssPv2(skf1(X0))
| ~ ssPv1(X0)
| ~ ssPv3(skf1(X0))
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_5100,c_5203]) ).
tcf(c_5768,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X0)
| ssPv3(X2)
| ssPv3(X0)
| ssPv3(skf1(skf1(X0)))
| ~ ssPv1(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_4813,c_5203]) ).
tcf(c_5769,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X0)
| ssPv3(X2)
| ssPv1(skf1(X0))
| ~ ssPv1(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_4771,c_5203]) ).
tcf(c_5770,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X0)
| ssPv3(X2)
| ssPv2(X0)
| ~ ssPv1(X0)
| ~ ssPv3(skf1(X0))
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_3092,c_5203]) ).
tcf(c_5783,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(X0)))))
| ssPv3(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_5133]) ).
tcf(c_5784,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)))))))
| ~ 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_5783]) ).
tcf(c_5818,plain,
! [X0: $i] :
( ssPv4(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_5178]) ).
tcf(c_5822,plain,
! [X0: $i] :
( 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_5197]) ).
tcf(c_5823,plain,
( 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_5822]) ).
tcf(c_5826,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(X0))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv2(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_5201]) ).
tcf(c_5827,plain,
( ssPv4(skf1(skf1(skf1(iProver_bot))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv2(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_5826]) ).
tcf(c_5869,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv4(X3)
| ~ ssPv1(X4)
| ~ ssPv2(skf1(X2))
| ~ ssRr(X3,X4)
| ~ ssRr(X3,X2)
| ~ ssRr(X3,X0)
| ~ ssPv4(skf1(skf1(X1)))
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_5239]) ).
tcf(c_5876,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv4(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_5246]) ).
tcf(c_5877,plain,
( ssPv3(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv4(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_5876]) ).
tcf(c_5921,plain,
! [X0: $i] :
( ssPv3(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_5249]) ).
tcf(c_5922,plain,
( ssPv3(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_5921]) ).
tcf(c_5938,plain,
! [X0: $i] :
( ssPv4(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(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_5252]) ).
tcf(c_5939,plain,
( ssPv4(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(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_5938]) ).
tcf(c_5958,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(X0)))
| ~ ssPv1(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_5254]) ).
tcf(c_5959,plain,
( ssPv4(skf1(skf1(iProver_bot)))
| ~ ssPv1(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv4(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_5958]) ).
tcf(c_5967,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(X0)))))
| ssPv4(skf1(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_5303]) ).
tcf(c_5968,plain,
( ssPv4(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv4(skf1(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_5967]) ).
tcf(c_5969,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(X0))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv4(skf1(skf1(skf1(X0))))
| ~ ssPv3(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_5346]) ).
tcf(c_5970,plain,
( ssPv1(skf1(skf1(skf1(iProver_bot))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv4(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv3(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_5969]) ).
tcf(c_5972,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X0)
| ssPv3(X0)
| ssPv2(X0)
| ~ ssPv4(X1)
| ~ ssPv3(X2)
| ~ ssPv1(skf1(X0))
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_2506,c_5255]) ).
tcf(c_5976,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(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_5350]) ).
tcf(c_5977,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(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_5976]) ).
tcf(c_5978,plain,
! [X0: $i] :
( 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_5365]) ).
tcf(c_5979,plain,
( 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_5978]) ).
tcf(c_6016,plain,
! [X0: $i] :
( ssPv1(skf1(X0))
| ssPv3(skf1(skf1(X0)))
| ssPv4(skf1(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_5370]) ).
tcf(c_6021,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(X2)
| ssPv3(skf1(skf1(X0)))
| ~ ssPv4(X0)
| ~ ssPv3(X0)
| ~ ssPv1(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_5623,c_5256]) ).
tcf(c_6028,plain,
! [X0: $i] :
( ssPv4(X0)
| ssPv2(X0)
| ssPv2(skf1(skf1(X0)))
| ~ ssPv3(skf1(X0))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_5397]) ).
tcf(c_6056,plain,
! [X0: $i,X1: $i] :
( ssPv4(X0)
| ssPv3(skf1(skf1(X0)))
| ~ ssPv2(X1)
| ~ ssPv1(X0)
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),X1)
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_5446]) ).
tcf(c_6058,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X1)
| ssPv2(skf1(X2))
| ssPv1(skf1(X0))
| ~ ssPv2(skf1(X1))
| ~ ssRr(X1,X2)
| ~ ssRr(X1,X0)
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_5447]) ).
tcf(c_6064,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(X0)
| ssPv1(X0)
| ~ ssPv4(X1)
| ~ ssPv4(X0)
| ~ ssPv3(X2)
| ~ ssPv3(skf1(X0))
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_4551,c_5257]) ).
tcf(c_6109,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv3(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_5479]) ).
tcf(c_6110,plain,
( ssPv4(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv3(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_6109]) ).
tcf(c_6111,plain,
! [X0: $i] : ssRr(skf1(skf1(skf1(skf1(skf1(X0))))),skf1(skf1(skf1(skf1(skf1(skf1(X0))))))),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_6112,plain,
ssRr(skf1(skf1(skf1(skf1(skf1(iProver_bot))))),skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))),
inference(instantiation,[status(thm)],[c_6111]) ).
tcf(c_6119,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv2(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_5487]) ).
tcf(c_6120,plain,
( ssPv3(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| 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))))))))
| ~ 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_6119]) ).
tcf(c_6128,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv3(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_5498]) ).
tcf(c_6129,plain,
( ssPv4(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv3(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv2(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_6128]) ).
tcf(c_6297,plain,
! [X0: $i] :
( ssPv4(skf1(X0))
| ssPv3(skf1(skf1(X0)))
| ssPv3(skf1(skf1(skf1(X0))))
| ~ ssPv3(skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0)))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_5717]) ).
tcf(c_6300,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(X0)
| ~ ssPv4(X1)
| ~ ssPv3(X2)
| ~ ssPv1(X0)
| ~ ssPv4(skf1(X0))
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_4418,c_5588]) ).
tcf(c_6309,plain,
! [X0: $i,X1: $i] :
( ssPv4(X0)
| ssPv4(skf1(X1))
| ~ ssRr(X0,X1)
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_5762]) ).
tcf(c_6351,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(X0))))
| ~ ssPv3(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_2743]) ).
tcf(c_6352,plain,
( ssPv1(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv3(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv2(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_6351]) ).
tcf(c_6386,plain,
! [X0: $i] :
( ~ ssPv1(skf1(skf1(skf1(X0))))
| ~ ssPv4(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv3(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_4765]) ).
tcf(c_6387,plain,
( ~ ssPv1(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv4(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv3(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_6386]) ).
tcf(c_6388,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(X0))))
| ssPv3(skf1(skf1(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_2795]) ).
tcf(c_6389,plain,
( ssPv1(skf1(skf1(skf1(iProver_bot))))
| ssPv3(skf1(skf1(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_6388]) ).
tcf(c_6408,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv4(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_5135]) ).
tcf(c_6409,plain,
( ssPv3(skf1(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(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_6408]) ).
tcf(c_6412,plain,
! [X0: $i] :
( ssPv3(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_5478]) ).
tcf(c_6413,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))))))
| ~ 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_5232]) ).
tcf(c_6414,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(X0))))
| ~ ssPv4(skf1(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_4380]) ).
tcf(c_6415,plain,
( ssPv2(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv4(skf1(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_6414]) ).
tcf(c_6416,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))))))
| ~ 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_6413]) ).
tcf(c_6417,plain,
( ssPv3(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_6412]) ).
tcf(c_6418,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(X0)))))
| ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ssPv1(skf1(skf1(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_4853]) ).
tcf(c_6419,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv1(skf1(skf1(skf1(X0))))
| ~ ssPv3(skf1(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_4573]) ).
tcf(c_6420,plain,
( ssPv3(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv1(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv3(skf1(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_6419]) ).
tcf(c_6421,plain,
( ssPv4(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv3(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv1(skf1(skf1(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_6418]) ).
tcf(c_6473,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv4(X3)
| ~ ssPv2(skf1(X2))
| ~ ssPv1(skf1(X3))
| ~ ssRr(X3,X2)
| ~ ssRr(X3,X0)
| ~ ssPv4(skf1(skf1(X1)))
| ~ ssRr(X3,skf1(X3))
| ~ ssRr(X2,skf1(X2))
| ~ ssRr(X0,skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_5869]) ).
tcf(c_6543,plain,
! [X0: $i] :
( ssPv3(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_5921]) ).
tcf(c_6544,plain,
( ssPv3(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_6543]) ).
tcf(c_6561,plain,
! [X0: $i] :
( 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_5822]) ).
tcf(c_6562,plain,
( 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_6561]) ).
tcf(c_6565,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv1(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_5958]) ).
tcf(c_6566,plain,
( ssPv4(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv1(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_6565]) ).
tcf(c_6584,plain,
! [X0: $i] :
( ssPv4(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_5818]) ).
tcf(c_6585,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv3(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_5607]) ).
tcf(c_6586,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssPv3(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_5499]) ).
tcf(c_6587,plain,
! [X0: $i] :
( ssPv1(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(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_5143]) ).
tcf(c_6588,plain,
! [X0: $i] :
( ssPv3(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_5015]) ).
tcf(c_6589,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ssPv1(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_4958]) ).
tcf(c_6592,plain,
( ssPv3(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv1(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_6589]) ).
tcf(c_6593,plain,
( ssPv3(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_6588]) ).
tcf(c_6594,plain,
( ssPv1(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(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_6587]) ).
tcf(c_6595,plain,
( ssPv4(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))))))))
| ~ ssPv3(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_6586]) ).
tcf(c_6596,plain,
( ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv2(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv3(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_6585]) ).
tcf(c_6597,plain,
( ssPv4(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv1(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_6584]) ).
tcf(c_6609,plain,
! [X0: $i,X1: $i] :
( ssPv4(X0)
| ssPv1(X0)
| ssPv1(skf1(skf1(X0)))
| ~ ssRr(X0,X1)
| ~ ssPv2(X1) ),
inference(global_subsumption_just,[status(thm)],[c_4946,c_100,c_1817,c_1844,c_1871,c_1968,c_2020,c_2506,c_2532,c_2538,c_2743,c_3042,c_4108,c_4771,c_4862,c_4946,c_6016]) ).
tcf(c_6610,plain,
! [X0: $i,X1: $i] :
( ssPv4(X0)
| ssPv1(X0)
| ssPv1(skf1(skf1(X0)))
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
inference(renaming,[status(thm)],[c_6609]) ).
tcf(c_6612,plain,
! [X0: $i] :
( ssPv4(X0)
| ssPv1(X0)
| ssPv1(skf1(skf1(X0)))
| ~ ssPv2(skf1(X0)) ),
inference(superposition,[status(thm)],[c_100,c_6610]) ).
tcf(c_6616,plain,
! [X0: $i] :
( ssPv1(X0)
| ~ ssPv4(X0)
| ~ ssPv3(X0)
| ~ ssPv3(skf1(X0))
| ~ ssPv2(skf1(X0)) ),
inference(superposition,[status(thm)],[c_100,c_4583]) ).
tcf(c_6617,plain,
( ssPv1(iProver_bot)
| ~ ssPv4(iProver_bot)
| ~ ssPv3(iProver_bot)
| ~ ssPv3(skf1(iProver_bot))
| ~ ssPv2(skf1(iProver_bot)) ),
inference(instantiation,[status(thm)],[c_6616]) ).
tcf(c_6658,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X2)
| ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssPv3(skf1(X0))
| ~ ssPv4(X0)
| ssPv1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_5125,c_100,c_1844,c_1871,c_1983,c_2084,c_3020,c_3620,c_3622,c_4551,c_4572,c_4864,c_4985,c_5125,c_5346,c_5978,c_6297]) ).
tcf(c_6659,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X2)
| ssPv1(X0)
| ~ ssPv4(X0)
| ~ ssPv3(skf1(X0))
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(renaming,[status(thm)],[c_6658]) ).
tcf(c_6660,plain,
! [X0: $i,X1: $i] :
( ssPv3(X1)
| ssPv1(X0)
| ~ ssPv4(X0)
| ~ ssPv3(skf1(X0))
| ~ ssRr(skf1(X0),X1) ),
inference(superposition,[status(thm)],[c_100,c_6659]) ).
tcf(c_6663,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X0)
| ssPv3(X2)
| ssPv3(X0)
| ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssPv1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_5768,c_100,c_1844,c_2506,c_2934,c_4985,c_5203,c_5769,c_5770,c_5768]) ).
tcf(c_6664,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X0)
| ssPv3(X2)
| ssPv3(X0)
| ~ ssPv1(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(renaming,[status(thm)],[c_6663]) ).
tcf(c_6688,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X0)
| ssPv3(X1)
| ssPv3(X0)
| ssPv2(X2)
| ssPv1(X0)
| ~ ssRr(X0,X1)
| ~ ssRr(X0,X2) ),
inference(global_subsumption_just,[status(thm)],[c_4967,c_100,c_1844,c_2351,c_2532,c_3042,c_3626,c_4771,c_4967,c_6610]) ).
tcf(c_6689,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X0)
| ssPv3(X1)
| ssPv3(X0)
| ssPv2(X2)
| ssPv1(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(renaming,[status(thm)],[c_6688]) ).
tcf(c_6690,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X0)
| ssPv3(X1)
| ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ssPv1(X0)
| ssPv2(X2) ),
inference(global_subsumption_just,[status(thm)],[c_6689,c_100,c_1844,c_1871,c_2001,c_3042,c_3222,c_3626,c_4380,c_4925,c_5100,c_6612,c_6689]) ).
tcf(c_6691,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X0)
| ssPv3(X1)
| ssPv2(X2)
| ssPv1(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(renaming,[status(thm)],[c_6690]) ).
tcf(c_6692,plain,
! [X0: $i,X1: $i] :
( ssPv4(X0)
| ssPv2(X1)
| ssPv1(X0)
| ssPv3(skf1(X0))
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_6691]) ).
tcf(c_6695,plain,
! [X0: $i] :
( ssPv4(X0)
| ssPv1(X0)
| ssPv3(skf1(X0))
| ssPv2(skf1(X0)) ),
inference(superposition,[status(thm)],[c_100,c_6692]) ).
tcf(c_6702,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X0)
| ssPv3(X2)
| ssPv2(skf1(X0))
| ~ ssPv1(X0)
| ~ ssRr(X0,X1)
| ~ ssRr(X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_5767,c_100,c_4916,c_5767,c_6664]) ).
tcf(c_6703,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X0)
| ssPv3(X2)
| ssPv2(skf1(X0))
| ~ ssPv1(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(renaming,[status(thm)],[c_6702]) ).
tcf(c_6704,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X0)
| ssPv3(X2)
| ssPv2(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssRr(X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_6703,c_1844,c_1871,c_1998,c_2084,c_2282,c_4235,c_4815,c_4862,c_5100,c_5178,c_5350,c_5689,c_6695,c_6703]) ).
tcf(c_6705,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X0)
| ssPv3(X2)
| ssPv2(skf1(X0))
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(renaming,[status(thm)],[c_6704]) ).
tcf(c_6707,plain,
! [X0: $i,X1: $i] :
( ssPv4(X0)
| ssPv3(X1)
| ssPv2(skf1(X0))
| ~ ssRr(skf1(X0),X1) ),
inference(superposition,[status(thm)],[c_100,c_6705]) ).
tcf(c_6722,plain,
! [X0: $i] :
( ssPv4(X0)
| ssPv2(skf1(X0))
| ssPv3(skf1(skf1(X0))) ),
inference(superposition,[status(thm)],[c_100,c_6707]) ).
tcf(c_6746,plain,
! [X0: $i] :
( ssPv4(X0)
| ssPv1(X0)
| ssPv1(skf1(skf1(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_5124,c_100,c_1844,c_3042,c_5100,c_6612,c_6695,c_6722]) ).
tcf(c_6756,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(X2)
| ssPv3(skf1(skf1(X0)))
| ~ ssPv4(X0)
| ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssPv1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_6021,c_4858]) ).
tcf(c_6757,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(X2)
| ssPv3(skf1(skf1(X0)))
| ~ ssPv4(X0)
| ~ ssPv1(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(renaming,[status(thm)],[c_6756]) ).
tcf(c_6758,plain,
! [X0: $i,X1: $i] :
( ssPv2(X1)
| ssPv3(skf1(skf1(X0)))
| ~ ssPv4(X0)
| ~ ssPv1(X0)
| ~ ssRr(skf1(X0),X1) ),
inference(superposition,[status(thm)],[c_100,c_6757]) ).
tcf(c_6762,plain,
! [X0: $i] :
( ssPv1(X0)
| ssPv3(skf1(skf1(X0)))
| ~ ssPv4(X0)
| ~ ssPv3(skf1(X0)) ),
inference(superposition,[status(thm)],[c_100,c_6660]) ).
tcf(c_6819,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(X0))))
| ~ ssPv1(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_5958]) ).
tcf(c_6820,plain,
( ssPv4(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv1(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_6819]) ).
tcf(c_6842,plain,
! [X0: $i] :
( 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_5978]) ).
tcf(c_6843,plain,
( 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_6842]) ).
tcf(c_6845,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(X0))))
| ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ssPv4(skf1(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_6016]) ).
tcf(c_6846,plain,
( ssPv1(skf1(skf1(skf1(iProver_bot))))
| ssPv3(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv4(skf1(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_6845]) ).
tcf(c_6855,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(X0))))
| ssPv2(skf1(skf1(skf1(X0))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv3(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_6028]) ).
tcf(c_6856,plain,
( ssPv4(skf1(skf1(skf1(iProver_bot))))
| ssPv2(skf1(skf1(skf1(iProver_bot))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv3(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_6855]) ).
tcf(c_6882,plain,
! [X0: $i] :
( ssPv4(X0)
| ssPv3(skf1(skf1(X0)))
| ~ ssPv1(X0)
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_6056]) ).
tcf(c_6897,plain,
! [X0: $i,X1: $i] :
( ssPv4(X0)
| ssPv1(skf1(X1))
| ssPv2(skf1(skf1(X0)))
| ~ ssPv2(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssRr(X1,skf1(X1))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_6058]) ).
tcf(c_6898,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(X0)
| ~ ssPv4(X1)
| ~ ssPv3(X2)
| ~ ssPv1(X0)
| ~ ssRr(X0,X1)
| ~ ssRr(X0,X2) ),
inference(global_subsumption_just,[status(thm)],[c_6300,c_3223,c_5588]) ).
tcf(c_6899,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(X0)
| ~ ssPv4(X1)
| ~ ssPv3(X2)
| ~ ssPv1(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(renaming,[status(thm)],[c_6898]) ).
tcf(c_6926,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv3(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_6109]) ).
tcf(c_6927,plain,
( ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv3(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_6926]) ).
tcf(c_7237,plain,
! [X0: $i] : ssRr(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))),
inference(instantiation,[status(thm)],[c_6111]) ).
tcf(c_7238,plain,
ssRr(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))),skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))),
inference(instantiation,[status(thm)],[c_7237]) ).
tcf(c_7261,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv2(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_4960]) ).
tcf(c_7270,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(X0)))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv1(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_5232]) ).
tcf(c_7271,plain,
( ssPv4(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv1(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_7270]) ).
tcf(c_7755,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X2)
| ~ ssPv4(X2)
| ~ ssPv2(X1)
| ~ ssPv1(skf1(X2))
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[c_108,c_100]) ).
tcf(c_7810,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(X0)))
| ssPv2(skf1(skf1(X0)))
| ~ ssPv4(X0)
| ~ ssPv1(X0) ),
inference(superposition,[status(thm)],[c_100,c_6758]) ).
tcf(c_7842,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(X0)))
| ssPv2(skf1(skf1(X0)))
| ~ ssPv4(X0) ),
inference(global_subsumption_just,[status(thm)],[c_7810,c_1844,c_1871,c_2001,c_2046,c_2415,c_2670,c_3053,c_3711,c_5350,c_5352,c_5465,c_5623,c_6762]) ).
tcf(c_7844,plain,
( ssPv3(skf1(skf1(iProver_bot)))
| ssPv2(skf1(skf1(iProver_bot)))
| ~ ssPv4(iProver_bot) ),
inference(instantiation,[status(thm)],[c_7842]) ).
tcf(c_7976,plain,
! [X0: $i] :
( 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_6309]) ).
tcf(c_7979,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv3(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_6351]) ).
tcf(c_7980,plain,
( ssPv1(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv3(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_7979]) ).
tcf(c_7998,plain,
! [X0: $i] :
( ~ ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv3(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_6386]) ).
tcf(c_7999,plain,
( ~ ssPv1(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv3(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_7998]) ).
tcf(c_8001,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ssPv3(skf1(skf1(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_6388]) ).
tcf(c_8002,plain,
( ssPv1(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv3(skf1(skf1(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_8001]) ).
tcf(c_8065,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv1(skf1(skf1(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_6418]) ).
tcf(c_8066,plain,
( ssPv4(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))))))))
| ~ 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_8065]) ).
tcf(c_8101,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv3(skf1(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_6419]) ).
tcf(c_8102,plain,
( ssPv3(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv3(skf1(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_8101]) ).
tcf(c_8103,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X0)
| ~ ssPv1(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssPv4(skf1(skf1(X2)))
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(X1,skf1(skf1(X2)))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_6473]) ).
tcf(c_8143,plain,
! [X0: $i] :
( ssPv3(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_6543]) ).
tcf(c_8144,plain,
( ssPv3(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_8143]) ).
tcf(c_8327,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv4(skf1(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_6414]) ).
tcf(c_8332,plain,
( ssPv2(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(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_8327]) ).
tcf(c_8348,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| 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)))))))))
| ~ 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_6119]) ).
tcf(c_8349,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv4(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_5876]) ).
tcf(c_8350,plain,
! [X0: $i] :
( ssPv3(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_5478]) ).
tcf(c_8351,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(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_5481]) ).
tcf(c_8352,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(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_8351]) ).
tcf(c_8353,plain,
( ssPv3(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_8350]) ).
tcf(c_8354,plain,
( ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv4(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_8349]) ).
tcf(c_8355,plain,
( ssPv3(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))))))))
| 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_8348]) ).
tcf(c_8364,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1)
| ~ ssPv3(X2)
| ~ ssPv4(X1)
| ssPv2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_5972,c_5255,c_6746,c_6899]) ).
tcf(c_8365,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X0)
| ssPv2(X0)
| ~ ssPv4(X1)
| ~ ssPv3(X2)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(renaming,[status(thm)],[c_8364]) ).
tcf(c_8611,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv1(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_6589]) ).
tcf(c_8612,plain,
( ssPv3(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))))))))
| ~ 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_8611]) ).
tcf(c_8709,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(X0)))))
| ssPv2(skf1(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_5826]) ).
tcf(c_8710,plain,
( ssPv4(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv2(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_8709]) ).
tcf(c_8811,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ssPv4(skf1(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_6845]) ).
tcf(c_8812,plain,
( ssPv1(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))))))))
| ~ 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_8811]) ).
tcf(c_8813,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv4(skf1(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_6845]) ).
tcf(c_8814,plain,
( ssPv1(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ssPv4(skf1(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_8813]) ).
tcf(c_8831,plain,
! [X0: $i] :
( ssPv4(skf1(X0))
| ssPv3(skf1(skf1(skf1(X0))))
| ~ ssPv1(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_6882]) ).
tcf(c_8832,plain,
( ssPv4(skf1(iProver_bot))
| ssPv3(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv1(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_8831]) ).
tcf(c_8845,plain,
! [X0: $i] :
( ssPv4(X0)
| ssPv2(skf1(skf1(X0)))
| ssPv1(skf1(skf1(X0)))
| ~ ssPv2(skf1(X0))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_6897]) ).
tcf(c_8846,plain,
( ssPv4(iProver_bot)
| ssPv2(skf1(skf1(iProver_bot)))
| ssPv1(skf1(skf1(iProver_bot)))
| ~ ssPv2(skf1(iProver_bot))
| ~ ssRr(iProver_bot,skf1(iProver_bot))
| ~ ssRr(skf1(iProver_bot),skf1(skf1(iProver_bot))) ),
inference(instantiation,[status(thm)],[c_8845]) ).
tcf(c_8954,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssPv3(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_4985]) ).
tcf(c_8957,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(X0)))))
| ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv3(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_4236]) ).
tcf(c_8959,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ssPv1(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_3624]) ).
tcf(c_8960,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv4(skf1(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_3622]) ).
tcf(c_8961,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv4(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(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_3620]) ).
tcf(c_8963,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv1(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_3020]) ).
tcf(c_8965,plain,
( ssPv2(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv1(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_8963]) ).
tcf(c_8967,plain,
( ssPv2(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv4(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(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_8961]) ).
tcf(c_8968,plain,
( ssPv2(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv4(skf1(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_8960]) ).
tcf(c_8969,plain,
( ssPv2(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv1(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_8959]) ).
tcf(c_8971,plain,
( ssPv4(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv2(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv3(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_8957]) ).
tcf(c_8974,plain,
( ssPv2(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv2(skf1(skf1(iProver_bot)))
| ~ ssPv3(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_8954]) ).
tcf(c_8989,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(X0))))
| ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv3(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_4817]) ).
tcf(c_8991,plain,
( ssPv4(skf1(skf1(skf1(iProver_bot))))
| ssPv2(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv2(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv3(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_8989]) ).
tcf(c_8992,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(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_6926]) ).
tcf(c_8993,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(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_8992]) ).
tcf(c_9117,plain,
! [X0: $i] :
( 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_6842]) ).
tcf(c_9135,plain,
( 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_9117]) ).
tcf(c_9143,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv1(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_6819]) ).
tcf(c_9146,plain,
( ssPv4(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))))))))
| ~ 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_9143]) ).
tcf(c_9169,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv3(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_5969]) ).
tcf(c_9170,plain,
( ssPv1(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot)))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(iProver_bot)))))
| ~ ssPv3(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_9169]) ).
tcf(c_9199,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ssPv2(skf1(skf1(skf1(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(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_6128]) ).
tcf(c_9200,plain,
( ssPv4(skf1(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))))))
| ~ 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_9199]) ).
tcf(c_9225,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(X0))))
| ~ ssPv4(skf1(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_3620]) ).
tcf(c_9226,plain,
( ssPv2(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv4(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(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_9225]) ).
tcf(c_9273,plain,
! [X0: $i,X1: $i] :
( ssPv3(X0)
| ~ ssPv4(X0)
| ~ ssPv2(X1)
| ~ ssPv1(skf1(X0))
| ~ ssRr(skf1(X0),X1) ),
inference(resolution,[status(thm)],[c_7755,c_100]) ).
tcf(c_9320,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(X0))))
| ~ ssPv2(skf1(X0))
| ~ ssPv3(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_4985]) ).
tcf(c_9321,plain,
( ssPv2(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv2(skf1(iProver_bot))
| ~ ssPv3(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_9320]) ).
tcf(c_9366,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(X0))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv1(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_3020]) ).
tcf(c_9379,plain,
( ssPv2(skf1(skf1(skf1(iProver_bot))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv1(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_9366]) ).
tcf(c_9460,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(skf1(skf1(X0))))))
| 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))))))))
| ~ 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_6587]) ).
tcf(c_9461,plain,
( ssPv1(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))))))))
| ~ 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_9460]) ).
tcf(c_9558,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(X0)))
| ssPv3(skf1(skf1(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_2795]) ).
tcf(c_9559,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(X0)))
| ~ ssPv3(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_2743]) ).
tcf(c_9561,plain,
( ssPv1(skf1(skf1(iProver_bot)))
| ~ ssPv3(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_9559]) ).
tcf(c_9562,plain,
( ssPv1(skf1(skf1(iProver_bot)))
| ssPv3(skf1(skf1(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_9558]) ).
tcf(c_10000,plain,
! [X0: $i] :
( ssPv3(X0)
| ~ ssPv4(X0)
| ~ ssPv1(skf1(X0))
| ~ ssPv2(skf1(skf1(X0))) ),
inference(resolution,[status(thm)],[c_9273,c_100]) ).
tcf(c_10001,plain,
( ssPv3(iProver_bot)
| ~ ssPv4(iProver_bot)
| ~ ssPv1(skf1(iProver_bot))
| ~ ssPv2(skf1(skf1(iProver_bot))) ),
inference(instantiation,[status(thm)],[c_10000]) ).
tcf(c_11066,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(X0))))))))
| ~ ssPv2(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_7261]) ).
tcf(c_11067,plain,
( ssPv1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))))
| ~ ssPv2(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_11066]) ).
tcf(c_11354,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv3(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_7979]) ).
tcf(c_11355,plain,
( ssPv1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv3(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_11354]) ).
tcf(c_11357,plain,
! [X0: $i] :
( 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_7976]) ).
tcf(c_11360,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ssPv4(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv2(skf1(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_5350]) ).
tcf(c_11361,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ssPv4(skf1(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_5348]) ).
tcf(c_11388,plain,
( ssPv2(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv4(skf1(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_11361]) ).
tcf(c_11389,plain,
( ssPv2(skf1(skf1(skf1(skf1(iProver_bot)))))
| ssPv4(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)))))))
| ~ 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_11360]) ).
tcf(c_11391,plain,
( 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_11357]) ).
tcf(c_11417,plain,
! [X0: $i] :
( ssPv4(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv4(skf1(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_5967]) ).
tcf(c_11419,plain,
! [X0: $i] :
( ssPv4(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_6584]) ).
tcf(c_11420,plain,
! [X0: $i] :
( 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_6561]) ).
tcf(c_11422,plain,
! [X0: $i] :
( ssPv4(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(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_5938]) ).
tcf(c_11423,plain,
( ssPv4(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(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_11422]) ).
tcf(c_11424,plain,
( 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_11420]) ).
tcf(c_11425,plain,
( ssPv4(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_11419]) ).
tcf(c_11426,plain,
( ssPv4(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(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_11417]) ).
tcf(c_11427,plain,
! [X0: $i] :
( ~ ssPv1(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv3(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_7998]) ).
tcf(c_11428,plain,
( ~ ssPv1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ~ ssPv4(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(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_11427]) ).
tcf(c_11459,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(skf1(skf1(skf1(X0))))))
| ssPv3(skf1(skf1(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_8001]) ).
tcf(c_11460,plain,
( ssPv1(skf1(skf1(skf1(skf1(skf1(iProver_bot))))))
| ssPv3(skf1(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(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_11459]) ).
tcf(c_11534,plain,
! [X0: $i,X1: $i] :
( ssPv4(X0)
| ~ ssPv1(skf1(X0))
| ~ ssPv4(skf1(skf1(X1)))
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X1)))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_8103]) ).
tcf(c_11535,plain,
( ssPv4(iProver_bot)
| ~ ssPv1(skf1(iProver_bot))
| ~ ssPv4(skf1(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_11534]) ).
tcf(c_11600,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_7237]) ).
tcf(c_11601,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_11600]) ).
tcf(c_11951,plain,
! [X0: $i] :
( ssPv4(skf1(X0))
| ssPv2(skf1(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_8845]) ).
tcf(c_11952,plain,
( ssPv4(skf1(iProver_bot))
| ssPv2(skf1(skf1(skf1(iProver_bot))))
| ssPv1(skf1(skf1(skf1(iProver_bot))))
| ~ ssPv2(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_11951]) ).
tcf(c_11954,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(X0)
| ~ ssPv3(X2)
| ~ ssPv3(skf1(X0))
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1)
| ~ ssPv4(X1) ),
inference(global_subsumption_just,[status(thm)],[c_6064,c_4551,c_5257,c_6899,c_8365]) ).
tcf(c_11955,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(X0)
| ~ ssPv4(X1)
| ~ ssPv3(X2)
| ~ ssPv3(skf1(X0))
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(renaming,[status(thm)],[c_11954]) ).
tcf(c_11956,plain,
! [X0: $i,X1: $i] :
( ssPv2(X0)
| ~ ssPv3(X1)
| ~ ssPv4(skf1(X0))
| ~ ssPv3(skf1(X0))
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_11955]) ).
tcf(c_12000,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(X0)))))))
| ~ ssPv1(skf1(skf1(skf1(skf1(skf1(X0))))))
| ~ ssPv3(skf1(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_8101]) ).
tcf(c_12001,plain,
! [X0: $i] :
( ssPv4(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)))))))))
| ~ 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_8065]) ).
tcf(c_12007,plain,
( ssPv4(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)))))))))
| ~ 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_12001]) ).
tcf(c_12008,plain,
( ssPv3(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))))))))
| ~ 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_12000]) ).
tcf(c_12559,plain,
! [X0: $i] :
( ssPv2(X0)
| ~ ssPv4(skf1(X0))
| ~ ssPv3(skf1(X0)) ),
inference(superposition,[status(thm)],[c_100,c_11956]) ).
tcf(c_12560,plain,
( ssPv2(iProver_bot)
| ~ ssPv4(skf1(iProver_bot))
| ~ ssPv3(skf1(iProver_bot)) ),
inference(instantiation,[status(thm)],[c_12559]) ).
tcf(c_12667,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(X0))))
| ssPv4(skf1(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_5348]) ).
tcf(c_12676,plain,
! [X0: $i] :
( 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_6842]) ).
tcf(c_12694,plain,
( 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_12676]) ).
tcf(c_12695,plain,
( ssPv2(skf1(skf1(skf1(iProver_bot))))
| ssPv4(skf1(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_12667]) ).
tcf(c_12822,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_12695,c_12694,c_12560,c_12008,c_12007,c_11952,c_11601,c_11535,c_11460,c_11428,c_11426,c_11425,c_11424,c_11423,c_11391,c_11389,c_11388,c_11355,c_11067,c_10001,c_9562,c_9561,c_9461,c_9379,c_9321,c_9226,c_9200,c_9170,c_9146,c_9135,c_8993,c_8991,c_8974,c_8971,c_8969,c_8968,c_8967,c_8965,c_8846,c_8832,c_8814,c_8812,c_8710,c_8612,c_8355,c_8354,c_8353,c_8352,c_8332,c_8144,c_8102,c_8066,c_8002,c_7999,c_7980,c_7844,c_7271,c_7238,c_6927,c_6856,c_6846,c_6843,c_6820,c_6617,c_6597,c_6596,c_6595,c_6594,c_6593,c_6592,c_6566,c_6562,c_6544,c_6421,c_6420,c_6417,c_6416,c_6415,c_6409,c_6389,c_6387,c_6352,c_6129,c_6120,c_6112,c_6110,c_5979,c_5977,c_5970,c_5968,c_5959,c_5939,c_5922,c_5877,c_5827,c_5823,c_5784,c_5608,c_5502,c_5497,c_5495,c_5493,c_5492,c_5489,c_5488,c_5347,c_5304,c_5251,c_5247,c_5233,c_5202,c_5138,c_5136,c_5016,c_4962,c_4961,c_4857,c_4854,c_4816,c_4770,c_4769,c_4577,c_4576,c_4575,c_4342,c_4137,c_4131,c_3749,c_3621,c_3069,c_3021,c_2848,c_2796,c_2794,c_2744,c_2671,c_2531,c_2416,c_2411,c_2310,c_2085,c_1872,c_1845,c_151]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN759-1 : 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 : n007.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 02:13:22 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 7.17/1.64 % SZS status Started for theBenchmark.p
% 7.17/1.64 % SZS status Unsatisfiable for theBenchmark.p
% 7.17/1.64
% 7.17/1.64 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 7.17/1.64
% 7.17/1.64 % ------ iProver source info
% 7.17/1.64
% 7.17/1.64 % git: date: 2026-07-19 20:42:38 +0200
% 7.17/1.64 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 7.17/1.64 % git: non_committed_changes: false
% 7.17/1.64
% 7.17/1.64 % ------ Parsing...% successful
% 7.17/1.64
% 7.17/1.64
% 7.17/1.64 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 7.17/1.64
% 7.17/1.64 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 7.17/1.64
% 7.17/1.64 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.17/1.64 % ------ Proving...
% 7.17/1.64 % ------ Problem Properties
% 7.17/1.64
% 7.17/1.64 %
% 7.17/1.64 % clauses 50
% 7.17/1.64 % conjectures 50
% 7.17/1.64 % EPR 49
% 7.17/1.64 % Horn 12
% 7.17/1.64 % unary 1
% 7.17/1.64 % binary 0
% 7.17/1.64 % lits 407
% 7.17/1.64 % lits eq 0
% 7.17/1.64 % fd_pure 0
% 7.17/1.64 % fd_pseudo 0
% 7.17/1.64 % fd_cond 0
% 7.17/1.64 % fd_pseudo_cond 0
% 7.17/1.64 % AC symbols 0
% 7.17/1.64
% 7.17/1.64 % ------ Input Options Time Limit: Unbounded
% 7.17/1.64
% 7.17/1.64
% 7.17/1.64 % ------
% 7.17/1.64 % Current options:
% 7.17/1.64 % ------
% 7.17/1.64
% 7.17/1.64
% 7.17/1.64 %
% 7.17/1.64
% 7.17/1.64 % ------ Proving...
% 7.17/1.64 %
% 7.17/1.64
% 7.17/1.64 % SZS status Unsatisfiable for theBenchmark.p
% 7.17/1.64
% 7.17/1.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.17/1.65
% 7.17/1.65
%------------------------------------------------------------------------------