%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRA119+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:23:49 PM UTC 2026
% Result : Unsatisfiable 0.90s 1.29s
% Output : CNFRefutation 0.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 299 ( 24 unt; 0 def)
% Number of atoms : 1311 ( 735 equ)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 1450 ( 438 ~;1012 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 7 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 176 ( 0 sgn 176 !; 0 ?; 160 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( r(X1,X0)
| ~ r(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rsym) ).
fof(f2,axiom,
! [X0,X1,X2] :
( ~ r(X1,X2)
| ~ r(X0,X2)
| ~ r(X0,X1)
| X1 = X2
| X0 = X2
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rn3cl) ).
fof(f3,axiom,
! [X0,X1,X2] :
( r(X1,X2)
| r(X0,X2)
| r(X0,X1)
| X1 = X2
| X0 = X2
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rn3acl) ).
fof(f4,axiom,
f(f(f(f(f(f(c)))))) != f(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f6ck) ).
fof(f5,axiom,
f(f(f(f(f(f(c)))))) != f(f(c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f62ck) ).
fof(f6,axiom,
f(f(f(f(f(f(c)))))) != f(f(f(c))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f63ck) ).
fof(f7,axiom,
f(f(f(f(f(f(c)))))) != f(f(f(f(c)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f64ck) ).
fof(f8,plain,
! [X0,X1] :
( r(X1,X0)
| ~ r(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f9,plain,
! [X2,X0,X1] :
( ~ r(X1,X2)
| ~ r(X0,X2)
| ~ r(X0,X1)
| X1 = X2
| X0 = X2
| X0 = X1 ),
inference(cnf_transformation,[],[f2]) ).
fof(f10,plain,
! [X2,X0,X1] :
( r(X1,X2)
| r(X0,X2)
| r(X0,X1)
| X1 = X2
| X0 = X2
| X0 = X1 ),
inference(cnf_transformation,[],[f3]) ).
fof(f11,plain,
f(c) != f(f(f(f(f(f(c)))))),
inference(cnf_transformation,[],[f4]) ).
fof(f12,plain,
f(f(c)) != f(f(f(f(f(f(c)))))),
inference(cnf_transformation,[],[f5]) ).
fof(f13,plain,
f(f(f(c))) != f(f(f(f(f(f(c)))))),
inference(cnf_transformation,[],[f6]) ).
fof(f14,plain,
f(f(f(f(c)))) != f(f(f(f(f(f(c)))))),
inference(cnf_transformation,[],[f7]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] :
( r(X1,X0)
| ~ r(X0,X1) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = X2 )
| ( X0 = X1 )
| ~ r(X1,X2)
| ~ r(X0,X2)
| ~ r(X0,X1) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(X1,X2)
| r(X0,X2)
| r(X0,X1)
| ( X1 = X2 )
| ( X0 = X2 )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_52,plain,
f(f(f(f(f(f(c)))))) != f(c),
inference(cnf_transformation,[],[f11]) ).
tcf(c_53,plain,
f(f(f(f(f(f(c)))))) != f(f(c)),
inference(cnf_transformation,[],[f12]) ).
tcf(c_54,plain,
f(f(f(f(f(f(c)))))) != f(f(f(c))),
inference(cnf_transformation,[],[f13]) ).
tcf(c_55,plain,
f(f(f(f(f(f(c)))))) != f(f(f(f(c)))),
inference(cnf_transformation,[],[f14]) ).
tcf(c_98,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_100,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_101,plain,
! [X0: $i,X1: $i] :
( ( f(X0) = f(X1) )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_102,plain,
( ( f(c) = f(c) )
| ( c != c ) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_103,plain,
c = c,
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_205,plain,
! [X0: $i] :
( ( f(f(f(f(f(f(c)))))) = f(c) )
| ( f(c) != X0 )
| ( f(f(f(f(f(f(c)))))) != X0 ) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_207,plain,
( ( f(f(f(f(f(f(c)))))) = f(c) )
| ( f(f(f(f(f(c))))) != c ) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_210,plain,
! [X0: $i] :
( ( f(f(f(f(f(f(c)))))) = f(f(c)) )
| ( f(f(c)) != X0 )
| ( f(f(f(f(f(f(c)))))) != X0 ) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_212,plain,
( ( f(f(f(f(f(f(c)))))) = f(f(c)) )
| ( f(f(f(f(f(c))))) != f(c) ) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_213,plain,
! [X0: $i] :
( ( f(f(f(c))) = X0 )
| ( f(f(f(f(f(f(c)))))) = X0 )
| ( f(f(f(f(f(f(c)))))) = f(f(f(c))) )
| ~ r(f(f(f(c))),X0)
| ~ r(f(f(f(f(f(f(c)))))),X0)
| ~ r(f(f(f(f(f(f(c)))))),f(f(f(c)))) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_215,plain,
! [X0: $i] :
( ( f(f(f(f(f(f(c)))))) = f(f(f(c))) )
| ( f(f(f(c))) != X0 )
| ( f(f(f(f(f(f(c)))))) != X0 ) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_217,plain,
( ( f(f(f(f(f(f(c)))))) = f(f(f(c))) )
| ( f(f(f(f(f(c))))) != f(f(c)) ) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_218,plain,
! [X0: $i] :
( ( f(f(f(f(c)))) = X0 )
| ( f(f(f(f(f(f(c)))))) = X0 )
| ( f(f(f(f(f(f(c)))))) = f(f(f(f(c)))) )
| ~ r(f(f(f(f(c)))),X0)
| ~ r(f(f(f(f(f(f(c)))))),X0)
| ~ r(f(f(f(f(f(f(c)))))),f(f(f(f(c))))) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_220,plain,
! [X0: $i] :
( ( f(f(f(f(f(f(c)))))) = f(f(f(f(c)))) )
| ( f(f(f(f(c)))) != X0 )
| ( f(f(f(f(f(f(c)))))) != X0 ) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_222,plain,
( ( f(f(f(f(f(f(c)))))) = f(f(f(f(c)))) )
| ( f(f(f(f(f(c))))) != f(f(f(c))) ) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_224,plain,
! [X0: $i] :
( ( f(f(f(f(f(c))))) = c )
| ( c != X0 )
| ( f(f(f(f(f(c))))) != X0 ) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_225,plain,
! [X0: $i] :
( ( f(c) = X0 )
| ( f(f(f(f(f(c))))) = X0 )
| ( f(f(f(f(f(c))))) = f(c) )
| ~ r(f(c),X0)
| ~ r(f(f(f(f(f(c))))),X0)
| ~ r(f(f(f(f(f(c))))),f(c)) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_227,plain,
! [X0: $i] :
( ( f(f(f(f(f(c))))) = f(c) )
| ( f(c) != X0 )
| ( f(f(f(f(f(c))))) != X0 ) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_229,plain,
( ( f(f(f(f(f(c))))) = f(c) )
| ( f(f(f(f(c)))) != c ) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_230,plain,
! [X0: $i] :
( ( f(f(c)) = X0 )
| ( f(f(f(f(f(c))))) = X0 )
| ( f(f(f(f(f(c))))) = f(f(c)) )
| ~ r(f(f(c)),X0)
| ~ r(f(f(f(f(f(c))))),X0)
| ~ r(f(f(f(f(f(c))))),f(f(c))) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_231,plain,
( ( f(f(c)) = c )
| ( f(f(f(f(f(c))))) = c )
| ( f(f(f(f(f(c))))) = f(f(c)) )
| ~ r(f(f(c)),c)
| ~ r(f(f(f(f(f(c))))),c)
| ~ r(f(f(f(f(f(c))))),f(f(c))) ),
inference(instantiation,[status(thm)],[c_230]) ).
tcf(c_232,plain,
! [X0: $i] :
( ( f(f(f(f(f(c))))) = f(f(c)) )
| ( f(f(c)) != X0 )
| ( f(f(f(f(f(c))))) != X0 ) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_234,plain,
( ( f(f(f(f(f(c))))) = f(f(c)) )
| ( f(f(f(f(c)))) != f(c) ) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_235,plain,
! [X0: $i] :
( ( f(f(f(c))) = X0 )
| ( f(f(f(f(f(c))))) = X0 )
| ( f(f(f(f(f(c))))) = f(f(f(c))) )
| ~ r(f(f(f(c))),X0)
| ~ r(f(f(f(f(f(c))))),X0)
| ~ r(f(f(f(f(f(c))))),f(f(f(c)))) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_236,plain,
( ( f(f(f(c))) = c )
| ( f(f(f(f(f(c))))) = c )
| ( f(f(f(f(f(c))))) = f(f(f(c))) )
| ~ r(f(f(f(c))),c)
| ~ r(f(f(f(f(f(c))))),c)
| ~ r(f(f(f(f(f(c))))),f(f(f(c)))) ),
inference(instantiation,[status(thm)],[c_235]) ).
tcf(c_239,plain,
( ( f(f(f(f(f(c))))) = f(f(f(c))) )
| ( f(f(f(f(c)))) != f(f(c)) ) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_240,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( f(c) = X1 )
| ( f(c) = X0 )
| ~ r(X0,X1)
| ~ r(f(c),X1)
| ~ r(f(c),X0) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_242,plain,
! [X0: $i,X1: $i] :
( ( f(c) = X1 )
| ( X1 != X0 )
| ( f(c) != X0 ) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_243,plain,
! [X0: $i] :
( ( f(f(f(f(f(f(c)))))) = f(c) )
| ( f(c) != f(X0) )
| ( f(f(f(f(f(f(c)))))) != f(X0) ) ),
inference(instantiation,[status(thm)],[c_205]) ).
tcf(c_244,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( f(f(c)) = X1 )
| ( f(f(c)) = X0 )
| ~ r(X0,X1)
| ~ r(f(f(c)),X1)
| ~ r(f(f(c)),X0) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_246,plain,
! [X0: $i,X1: $i] :
( ( f(f(c)) = X1 )
| ( X1 != X0 )
| ( f(f(c)) != X0 ) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_247,plain,
! [X0: $i] :
( ( f(f(f(f(f(f(c)))))) = f(f(c)) )
| ( f(f(c)) != f(X0) )
| ( f(f(f(f(f(f(c)))))) != f(X0) ) ),
inference(instantiation,[status(thm)],[c_210]) ).
tcf(c_248,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( f(f(f(c))) = X1 )
| ( f(f(f(c))) = X0 )
| ~ r(X0,X1)
| ~ r(f(f(f(c))),X1)
| ~ r(f(f(f(c))),X0) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_250,plain,
! [X0: $i,X1: $i] :
( ( f(f(f(c))) = X1 )
| ( X1 != X0 )
| ( f(f(f(c))) != X0 ) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_251,plain,
! [X0: $i] :
( ( f(f(f(f(f(f(c)))))) = f(f(f(c))) )
| ( f(f(f(c))) != f(X0) )
| ( f(f(f(f(f(f(c)))))) != f(X0) ) ),
inference(instantiation,[status(thm)],[c_215]) ).
tcf(c_252,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( f(f(f(f(c)))) = X1 )
| ( f(f(f(f(c)))) = X0 )
| ~ r(X0,X1)
| ~ r(f(f(f(f(c)))),X1)
| ~ r(f(f(f(f(c)))),X0) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_254,plain,
! [X0: $i,X1: $i] :
( ( f(f(f(f(c)))) = X1 )
| ( X1 != X0 )
| ( f(f(f(f(c)))) != X0 ) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_255,plain,
! [X0: $i] :
( ( f(f(f(f(f(f(c)))))) = f(f(f(f(c)))) )
| ( f(f(f(f(c)))) != f(X0) )
| ( f(f(f(f(f(f(c)))))) != f(X0) ) ),
inference(instantiation,[status(thm)],[c_220]) ).
tcf(c_265,plain,
! [X0: $i,X1: $i] :
( r(X0,X1)
| r(f(c),X1)
| r(f(c),X0)
| ( X0 = X1 )
| ( f(c) = X1 )
| ( f(c) = X0 ) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_266,plain,
! [X0: $i] :
( r(f(c),X0)
| ~ r(X0,f(c)) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_268,plain,
! [X0: $i,X1: $i] :
( r(X0,X1)
| r(f(f(c)),X1)
| r(f(f(c)),X0)
| ( X0 = X1 )
| ( f(f(c)) = X1 )
| ( f(f(c)) = X0 ) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_269,plain,
! [X0: $i] :
( r(f(f(c)),X0)
| ~ r(X0,f(f(c))) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_271,plain,
! [X0: $i,X1: $i] :
( r(X0,X1)
| r(f(f(f(c))),X1)
| r(f(f(f(c))),X0)
| ( X0 = X1 )
| ( f(f(f(c))) = X1 )
| ( f(f(f(c))) = X0 ) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_274,plain,
! [X0: $i,X1: $i] :
( r(X0,X1)
| r(f(f(f(f(c)))),X1)
| r(f(f(f(f(c)))),X0)
| ( X0 = X1 )
| ( f(f(f(f(c)))) = X1 )
| ( f(f(f(f(c)))) = X0 ) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_275,plain,
! [X0: $i] :
( r(f(f(f(f(c)))),X0)
| ~ r(X0,f(f(f(f(c))))) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_276,plain,
( r(f(f(f(f(c)))),c)
| ~ r(c,f(f(f(f(c))))) ),
inference(instantiation,[status(thm)],[c_275]) ).
tcf(c_290,plain,
( ( f(f(f(f(c)))) = f(c) )
| ( f(f(f(c))) != c ) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_293,plain,
( ( f(f(f(f(c)))) = f(f(c)) )
| ( f(f(f(c))) != f(c) ) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_294,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( f(f(f(f(f(c))))) = X1 )
| ( f(f(f(f(f(c))))) = X0 )
| ~ r(X0,X1)
| ~ r(f(f(f(f(f(c))))),X1)
| ~ r(f(f(f(f(f(c))))),X0) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_295,plain,
( ( f(f(f(f(f(c))))) = c )
| ( c != f(f(f(f(f(c))))) )
| ( f(f(f(f(f(c))))) != f(f(f(f(f(c))))) ) ),
inference(instantiation,[status(thm)],[c_224]) ).
tcf(c_311,plain,
! [X0: $i] :
( ( f(f(f(f(f(c))))) = f(c) )
| ( f(c) != f(X0) )
| ( f(f(f(f(f(c))))) != f(X0) ) ),
inference(instantiation,[status(thm)],[c_227]) ).
tcf(c_315,plain,
! [X0: $i] :
( ( f(f(f(f(f(c))))) = f(f(c)) )
| ( f(f(c)) != f(X0) )
| ( f(f(f(f(f(c))))) != f(X0) ) ),
inference(instantiation,[status(thm)],[c_232]) ).
tcf(c_332,plain,
( ( f(f(f(f(f(f(c)))))) = f(c) )
| ( f(c) != f(f(f(f(f(f(c)))))) )
| ( f(f(f(f(f(f(c)))))) != f(f(f(f(f(f(c)))))) ) ),
inference(instantiation,[status(thm)],[c_243]) ).
tcf(c_333,plain,
! [X0: $i,X1: $i] :
( ( f(f(f(f(f(f(c)))))) = f(X1) )
| ( f(X1) != X0 )
| ( f(f(f(f(f(f(c)))))) != X0 ) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_336,plain,
! [X0: $i] :
( ( f(c) = X0 )
| ( X0 != f(c) )
| ( f(c) != f(c) ) ),
inference(instantiation,[status(thm)],[c_242]) ).
tcf(c_341,plain,
! [X0: $i] :
( ( f(f(c)) = X0 )
| ( X0 != f(f(c)) )
| ( f(f(c)) != f(f(c)) ) ),
inference(instantiation,[status(thm)],[c_246]) ).
tcf(c_342,plain,
( ( f(f(c)) = c )
| ( c != f(f(c)) )
| ( f(f(c)) != f(f(c)) ) ),
inference(instantiation,[status(thm)],[c_341]) ).
tcf(c_347,plain,
! [X0: $i] :
( ( f(f(f(c))) = X0 )
| ( X0 != f(f(f(c))) )
| ( f(f(f(c))) != f(f(f(c))) ) ),
inference(instantiation,[status(thm)],[c_250]) ).
tcf(c_348,plain,
( ( f(f(f(c))) = c )
| ( c != f(f(f(c))) )
| ( f(f(f(c))) != f(f(f(c))) ) ),
inference(instantiation,[status(thm)],[c_347]) ).
tcf(c_353,plain,
! [X0: $i] :
( ( f(f(f(f(c)))) = X0 )
| ( X0 != f(f(f(f(c)))) )
| ( f(f(f(f(c)))) != f(f(f(f(c)))) ) ),
inference(instantiation,[status(thm)],[c_254]) ).
tcf(c_354,plain,
( ( f(f(f(f(c)))) = c )
| ( c != f(f(f(f(c)))) )
| ( f(f(f(f(c)))) != f(f(f(f(c)))) ) ),
inference(instantiation,[status(thm)],[c_353]) ).
tcf(c_361,plain,
! [X0: $i] :
( ( f(f(c)) = f(X0) )
| ( f(c) != X0 ) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_366,plain,
! [X0: $i] :
( ( f(f(f(c))) = f(X0) )
| ( f(f(c)) != X0 ) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_367,plain,
( ( f(f(f(c))) = f(c) )
| ( f(f(c)) != c ) ),
inference(instantiation,[status(thm)],[c_366]) ).
tcf(c_389,plain,
! [X0: $i] :
( ( f(f(f(f(c)))) = f(X0) )
| ( f(f(f(c))) != X0 ) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_399,plain,
! [X0: $i,X1: $i] :
( r(X1,X0)
| r(X1,f(c))
| r(f(c),X0)
| ( X1 = X0 )
| ( X1 = f(c) )
| ( f(c) = X0 ) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_400,plain,
! [X0: $i] :
( r(X0,f(c))
| ~ r(f(c),X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_411,plain,
! [X0: $i,X1: $i] :
( r(X1,X0)
| r(X1,f(f(c)))
| r(f(f(c)),X0)
| ( X1 = X0 )
| ( X1 = f(f(c)) )
| ( f(f(c)) = X0 ) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_412,plain,
! [X0: $i] :
( r(X0,f(f(c)))
| ~ r(f(f(c)),X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_468,plain,
! [X0: $i,X1: $i] :
( r(X1,X0)
| r(X1,f(f(f(c))))
| r(f(f(f(c))),X0)
| ( X1 = X0 )
| ( X1 = f(f(f(c))) )
| ( f(f(f(c))) = X0 ) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_472,plain,
! [X0: $i] :
( r(X0,f(f(f(f(c)))))
| ~ r(f(f(f(f(c)))),X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_489,plain,
( r(f(c),f(f(c)))
| r(f(c),f(f(f(f(f(f(c)))))))
| r(f(f(f(f(f(f(c)))))),f(f(c)))
| ( f(c) = f(f(c)) )
| ( f(c) = f(f(f(f(f(f(c)))))) )
| ( f(f(f(f(f(f(c)))))) = f(f(c)) ) ),
inference(instantiation,[status(thm)],[c_265]) ).
tcf(c_490,plain,
( r(f(c),f(f(f(c))))
| r(f(c),f(f(f(f(f(f(c)))))))
| r(f(f(f(f(f(f(c)))))),f(f(f(c))))
| ( f(c) = f(f(f(c))) )
| ( f(c) = f(f(f(f(f(f(c)))))) )
| ( f(f(f(f(f(f(c)))))) = f(f(f(c))) ) ),
inference(instantiation,[status(thm)],[c_265]) ).
tcf(c_491,plain,
( r(f(c),f(f(f(f(c)))))
| r(f(c),f(f(f(f(f(f(c)))))))
| r(f(f(f(f(f(f(c)))))),f(f(f(f(c)))))
| ( f(c) = f(f(f(f(c)))) )
| ( f(c) = f(f(f(f(f(f(c)))))) )
| ( f(f(f(f(f(f(c)))))) = f(f(f(f(c)))) ) ),
inference(instantiation,[status(thm)],[c_265]) ).
tcf(c_495,plain,
! [X0: $i] :
( r(f(c),X0)
| r(f(f(c)),X0)
| r(f(c),f(f(c)))
| ( f(c) = X0 )
| ( f(c) = f(f(c)) )
| ( f(f(c)) = X0 ) ),
inference(instantiation,[status(thm)],[c_265]) ).
tcf(c_496,plain,
( r(f(c),c)
| r(f(f(c)),c)
| r(f(c),f(f(c)))
| ( f(c) = c )
| ( f(c) = f(f(c)) )
| ( f(f(c)) = c ) ),
inference(instantiation,[status(thm)],[c_495]) ).
tcf(c_500,plain,
( r(f(c),f(f(c)))
| r(f(c),f(f(f(f(f(c))))))
| r(f(f(f(f(f(c))))),f(f(c)))
| ( f(c) = f(f(c)) )
| ( f(c) = f(f(f(f(f(c))))) )
| ( f(f(f(f(f(c))))) = f(f(c)) ) ),
inference(instantiation,[status(thm)],[c_265]) ).
tcf(c_501,plain,
! [X0: $i] :
( r(f(c),X0)
| r(f(f(f(f(c)))),X0)
| r(f(c),f(f(f(f(c)))))
| ( f(c) = X0 )
| ( f(c) = f(f(f(f(c)))) )
| ( f(f(f(f(c)))) = X0 ) ),
inference(instantiation,[status(thm)],[c_265]) ).
tcf(c_502,plain,
( r(f(c),c)
| r(f(f(f(f(c)))),c)
| r(f(c),f(f(f(f(c)))))
| ( f(c) = c )
| ( f(c) = f(f(f(f(c)))) )
| ( f(f(f(f(c)))) = c ) ),
inference(instantiation,[status(thm)],[c_501]) ).
tcf(c_504,plain,
( r(f(c),f(f(f(c))))
| r(f(c),f(f(f(f(f(c))))))
| r(f(f(f(f(f(c))))),f(f(f(c))))
| ( f(c) = f(f(f(c))) )
| ( f(c) = f(f(f(f(f(c))))) )
| ( f(f(f(f(f(c))))) = f(f(f(c))) ) ),
inference(instantiation,[status(thm)],[c_265]) ).
tcf(c_525,plain,
( r(f(f(c)),f(c))
| r(f(f(f(f(f(f(c)))))),f(c))
| r(f(f(c)),f(f(f(f(f(f(c)))))))
| ( f(f(c)) = f(c) )
| ( f(f(c)) = f(f(f(f(f(f(c)))))) )
| ( f(f(f(f(f(f(c)))))) = f(c) ) ),
inference(instantiation,[status(thm)],[c_268]) ).
tcf(c_527,plain,
( r(f(f(c)),f(f(f(c))))
| r(f(f(c)),f(f(f(f(f(f(c)))))))
| r(f(f(f(f(f(f(c)))))),f(f(f(c))))
| ( f(f(c)) = f(f(f(c))) )
| ( f(f(c)) = f(f(f(f(f(f(c)))))) )
| ( f(f(f(f(f(f(c)))))) = f(f(f(c))) ) ),
inference(instantiation,[status(thm)],[c_268]) ).
tcf(c_529,plain,
( r(f(f(c)),c)
| r(f(f(f(f(f(c))))),c)
| r(f(f(c)),f(f(f(f(f(c))))))
| ( f(f(c)) = c )
| ( f(f(c)) = f(f(f(f(f(c))))) )
| ( f(f(f(f(f(c))))) = c ) ),
inference(instantiation,[status(thm)],[c_268]) ).
tcf(c_532,plain,
( r(f(f(c)),f(c))
| r(f(f(f(f(f(c))))),f(c))
| r(f(f(c)),f(f(f(f(f(c))))))
| ( f(f(c)) = f(c) )
| ( f(f(c)) = f(f(f(f(f(c))))) )
| ( f(f(f(f(f(c))))) = f(c) ) ),
inference(instantiation,[status(thm)],[c_268]) ).
tcf(c_533,plain,
! [X0: $i] :
( r(f(f(c)),X0)
| r(f(f(f(c))),X0)
| r(f(f(c)),f(f(f(c))))
| ( f(f(c)) = X0 )
| ( f(f(c)) = f(f(f(c))) )
| ( f(f(f(c))) = X0 ) ),
inference(instantiation,[status(thm)],[c_268]) ).
tcf(c_534,plain,
( r(f(f(c)),c)
| r(f(f(f(c))),c)
| r(f(f(c)),f(f(f(c))))
| ( f(f(c)) = c )
| ( f(f(c)) = f(f(f(c))) )
| ( f(f(f(c))) = c ) ),
inference(instantiation,[status(thm)],[c_533]) ).
tcf(c_536,plain,
! [X0: $i] :
( r(f(f(c)),X0)
| r(f(f(f(f(c)))),X0)
| r(f(f(c)),f(f(f(f(c)))))
| ( f(f(c)) = X0 )
| ( f(f(c)) = f(f(f(f(c)))) )
| ( f(f(f(f(c)))) = X0 ) ),
inference(instantiation,[status(thm)],[c_268]) ).
tcf(c_537,plain,
( r(f(f(c)),c)
| r(f(f(f(f(c)))),c)
| r(f(f(c)),f(f(f(f(c)))))
| ( f(f(c)) = c )
| ( f(f(c)) = f(f(f(f(c)))) )
| ( f(f(f(f(c)))) = c ) ),
inference(instantiation,[status(thm)],[c_536]) ).
tcf(c_539,plain,
( r(f(f(c)),f(f(f(c))))
| r(f(f(c)),f(f(f(f(f(c))))))
| r(f(f(f(f(f(c))))),f(f(f(c))))
| ( f(f(c)) = f(f(f(c))) )
| ( f(f(c)) = f(f(f(f(f(c))))) )
| ( f(f(f(f(f(c))))) = f(f(f(c))) ) ),
inference(instantiation,[status(thm)],[c_268]) ).
tcf(c_550,plain,
f(f(f(f(f(c))))) != f(c),
inference(resolution,[status(thm)],[c_53,c_101]) ).
tcf(c_578,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( f(f(f(f(f(f(c)))))) = X1 )
| ( f(f(f(f(f(f(c)))))) = X0 )
| ~ r(X0,X1)
| ~ r(f(f(f(f(f(f(c)))))),X1)
| ~ r(f(f(f(f(f(f(c)))))),X0) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_591,plain,
( ( f(f(f(f(f(f(c)))))) = f(f(c)) )
| ( f(f(c)) != f(f(f(f(f(f(c)))))) )
| ( f(f(f(f(f(f(c)))))) != f(f(f(f(f(f(c)))))) ) ),
inference(instantiation,[status(thm)],[c_247]) ).
tcf(c_597,plain,
( r(f(f(f(c))),f(f(f(f(c)))))
| r(f(f(f(c))),f(f(f(f(f(f(c)))))))
| r(f(f(f(f(f(f(c)))))),f(f(f(f(c)))))
| ( f(f(f(c))) = f(f(f(f(c)))) )
| ( f(f(f(c))) = f(f(f(f(f(f(c)))))) )
| ( f(f(f(f(f(f(c)))))) = f(f(f(f(c)))) ) ),
inference(instantiation,[status(thm)],[c_271]) ).
tcf(c_603,plain,
( r(f(f(f(c))),f(c))
| r(f(f(f(f(f(c))))),f(c))
| r(f(f(f(c))),f(f(f(f(f(c))))))
| ( f(f(f(c))) = f(c) )
| ( f(f(f(c))) = f(f(f(f(f(c))))) )
| ( f(f(f(f(f(c))))) = f(c) ) ),
inference(instantiation,[status(thm)],[c_271]) ).
tcf(c_607,plain,
! [X0: $i] :
( r(f(f(f(c))),X0)
| r(f(f(f(f(c)))),X0)
| r(f(f(f(c))),f(f(f(f(c)))))
| ( f(f(f(c))) = X0 )
| ( f(f(f(c))) = f(f(f(f(c)))) )
| ( f(f(f(f(c)))) = X0 ) ),
inference(instantiation,[status(thm)],[c_271]) ).
tcf(c_608,plain,
( r(f(f(f(c))),c)
| r(f(f(f(f(c)))),c)
| r(f(f(f(c))),f(f(f(f(c)))))
| ( f(f(f(c))) = c )
| ( f(f(f(c))) = f(f(f(f(c)))) )
| ( f(f(f(f(c)))) = c ) ),
inference(instantiation,[status(thm)],[c_607]) ).
tcf(c_619,plain,
f(f(f(f(f(c))))) != f(f(c)),
inference(resolution,[status(thm)],[c_54,c_101]) ).
tcf(c_622,plain,
f(f(f(f(c)))) != f(c),
inference(resolution,[status(thm)],[c_619,c_101]) ).
tcf(c_629,plain,
( r(f(f(f(f(c)))),c)
| r(f(f(f(f(f(c))))),c)
| r(f(f(f(f(c)))),f(f(f(f(f(c))))))
| ( f(f(f(f(c)))) = c )
| ( f(f(f(f(c)))) = f(f(f(f(f(c))))) )
| ( f(f(f(f(f(c))))) = c ) ),
inference(instantiation,[status(thm)],[c_274]) ).
tcf(c_632,plain,
( r(f(f(f(f(c)))),f(c))
| r(f(f(f(f(f(c))))),f(c))
| r(f(f(f(f(c)))),f(f(f(f(f(c))))))
| ( f(f(f(f(c)))) = f(c) )
| ( f(f(f(f(c)))) = f(f(f(f(f(c))))) )
| ( f(f(f(f(f(c))))) = f(c) ) ),
inference(instantiation,[status(thm)],[c_274]) ).
tcf(c_633,plain,
! [X0: $i] :
( r(f(f(f(c))),X0)
| r(f(f(f(f(c)))),X0)
| r(f(f(f(f(c)))),f(f(f(c))))
| ( f(f(f(c))) = X0 )
| ( f(f(f(f(c)))) = X0 )
| ( f(f(f(f(c)))) = f(f(f(c))) ) ),
inference(instantiation,[status(thm)],[c_274]) ).
tcf(c_634,plain,
( r(f(f(f(c))),c)
| r(f(f(f(f(c)))),c)
| r(f(f(f(f(c)))),f(f(f(c))))
| ( f(f(f(c))) = c )
| ( f(f(f(f(c)))) = c )
| ( f(f(f(f(c)))) = f(f(f(c))) ) ),
inference(instantiation,[status(thm)],[c_633]) ).
tcf(c_635,plain,
( r(f(f(f(f(c)))),f(f(c)))
| r(f(f(f(f(f(c))))),f(f(c)))
| r(f(f(f(f(c)))),f(f(f(f(f(c))))))
| ( f(f(f(f(c)))) = f(f(c)) )
| ( f(f(f(f(c)))) = f(f(f(f(f(c))))) )
| ( f(f(f(f(f(c))))) = f(f(c)) ) ),
inference(instantiation,[status(thm)],[c_274]) ).
tcf(c_639,plain,
( r(f(f(f(f(c)))),f(f(f(c))))
| r(f(f(f(f(f(c))))),f(f(f(c))))
| r(f(f(f(f(c)))),f(f(f(f(f(c))))))
| ( f(f(f(f(c)))) = f(f(f(c))) )
| ( f(f(f(f(c)))) = f(f(f(f(f(c))))) )
| ( f(f(f(f(f(c))))) = f(f(f(c))) ) ),
inference(instantiation,[status(thm)],[c_274]) ).
tcf(c_640,plain,
! [X0: $i] :
( r(f(f(f(f(c)))),X0)
| r(f(f(f(f(f(c))))),X0)
| r(f(f(f(f(c)))),f(f(f(f(f(c))))))
| ( f(f(f(f(c)))) = X0 )
| ( f(f(f(f(c)))) = f(f(f(f(f(c))))) )
| ( f(f(f(f(f(c))))) = X0 ) ),
inference(instantiation,[status(thm)],[c_274]) ).
tcf(c_657,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( X0 != X1 ) ),
inference(resolution,[status(thm)],[c_100,c_98]) ).
tcf(c_714,plain,
f(f(f(f(f(c))))) = f(f(f(f(f(c))))),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_734,plain,
f(f(f(f(f(f(c)))))) = f(f(f(f(f(f(c)))))),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_809,plain,
! [X0: $i] :
( ( f(f(f(f(f(c))))) = f(X0) )
| ( f(f(f(f(c)))) != X0 ) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_815,plain,
( ( f(f(f(f(f(c))))) = f(c) )
| ( f(c) != f(f(f(f(f(c))))) )
| ( f(f(f(f(f(c))))) != f(f(f(f(f(c))))) ) ),
inference(instantiation,[status(thm)],[c_311]) ).
tcf(c_823,plain,
( ( f(f(f(f(f(c))))) = f(f(c)) )
| ( f(f(c)) != f(f(f(f(f(c))))) )
| ( f(f(f(f(f(c))))) != f(f(f(f(f(c))))) ) ),
inference(instantiation,[status(thm)],[c_315]) ).
tcf(c_847,plain,
! [X0: $i] :
( ( f(f(f(f(f(f(c)))))) = f(X0) )
| ( f(X0) != f(f(f(f(f(f(c)))))) )
| ( f(f(f(f(f(f(c)))))) != f(f(f(f(f(f(c)))))) ) ),
inference(instantiation,[status(thm)],[c_333]) ).
tcf(c_865,plain,
( ( f(f(c)) = f(f(c)) )
| ( f(c) != f(c) ) ),
inference(instantiation,[status(thm)],[c_361]) ).
tcf(c_875,plain,
f(f(f(c))) = f(f(f(c))),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_883,plain,
f(f(f(f(c)))) = f(f(f(f(c)))),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_890,plain,
! [X0: $i] :
( ( f(f(f(c))) = f(f(X0)) )
| ( f(f(c)) != f(X0) ) ),
inference(instantiation,[status(thm)],[c_366]) ).
tcf(c_903,plain,
! [X0: $i] :
( ( f(f(f(f(c)))) = f(f(X0)) )
| ( f(f(f(c))) != f(X0) ) ),
inference(instantiation,[status(thm)],[c_389]) ).
tcf(c_904,plain,
( r(f(f(c)),f(c))
| ~ r(f(c),f(f(c))) ),
inference(instantiation,[status(thm)],[c_400]) ).
tcf(c_906,plain,
( r(f(c),f(f(c)))
| ~ r(f(f(c)),f(c)) ),
inference(instantiation,[status(thm)],[c_266]) ).
tcf(c_913,plain,
! [X0: $i,X1: $i] :
( r(f(X0),X1)
| r(f(f(f(f(c)))),X1)
| r(f(f(f(f(c)))),f(X0))
| ( f(X0) = X1 )
| ( f(f(f(f(c)))) = X1 )
| ( f(f(f(f(c)))) = f(X0) ) ),
inference(instantiation,[status(thm)],[c_274]) ).
tcf(c_914,plain,
! [X0: $i,X1: $i] :
( r(f(X0),X1)
| r(f(f(f(c))),X1)
| r(f(f(f(c))),f(X0))
| ( f(X0) = X1 )
| ( f(f(f(c))) = X1 )
| ( f(f(f(c))) = f(X0) ) ),
inference(instantiation,[status(thm)],[c_271]) ).
tcf(c_918,plain,
( r(f(c),c)
| r(f(f(f(c))),c)
| r(f(f(f(c))),f(c))
| ( f(c) = c )
| ( f(f(f(c))) = c )
| ( f(f(f(c))) = f(c) ) ),
inference(instantiation,[status(thm)],[c_914]) ).
tcf(c_945,plain,
! [X0: $i,X1: $i] :
( ( f(X1) = f(X0) )
| ( X0 != X1 ) ),
inference(resolution,[status(thm)],[c_657,c_101]) ).
tcf(c_961,plain,
( r(f(f(f(f(c)))),f(f(c)))
| ~ r(f(f(c)),f(f(f(f(c))))) ),
inference(instantiation,[status(thm)],[c_275]) ).
tcf(c_962,plain,
! [X0: $i] :
( r(X0,f(c))
| r(f(f(f(f(c)))),X0)
| r(f(f(f(f(c)))),f(c))
| ( X0 = f(c) )
| ( f(f(f(f(c)))) = X0 )
| ( f(f(f(f(c)))) = f(c) ) ),
inference(instantiation,[status(thm)],[c_274]) ).
tcf(c_963,plain,
! [X0: $i] :
( r(X0,f(c))
| r(f(f(f(c))),X0)
| r(f(f(f(c))),f(c))
| ( X0 = f(c) )
| ( f(f(f(c))) = X0 )
| ( f(f(f(c))) = f(c) ) ),
inference(instantiation,[status(thm)],[c_271]) ).
tcf(c_968,plain,
( r(c,f(c))
| r(f(f(f(c))),c)
| r(f(f(f(c))),f(c))
| ( c = f(c) )
| ( f(f(f(c))) = c )
| ( f(f(f(c))) = f(c) ) ),
inference(instantiation,[status(thm)],[c_963]) ).
tcf(c_969,plain,
( r(c,f(c))
| r(f(f(f(f(c)))),c)
| r(f(f(f(f(c)))),f(c))
| ( c = f(c) )
| ( f(f(f(f(c)))) = c )
| ( f(f(f(f(c)))) = f(c) ) ),
inference(instantiation,[status(thm)],[c_962]) ).
tcf(c_972,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( X1 = f(c) )
| ( f(c) = X0 )
| ~ r(X1,X0)
| ~ r(X1,f(c))
| ~ r(f(c),X0) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_974,plain,
! [X0: $i,X1: $i] :
( ( X1 = f(c) )
| ( X1 != X0 )
| ( f(c) != X0 ) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_975,plain,
( ( c = f(c) )
| ( c != c )
| ( f(c) != c ) ),
inference(instantiation,[status(thm)],[c_974]) ).
tcf(c_976,plain,
! [X0: $i] :
( ( f(c) = f(X0) )
| ( f(c) != f(c) )
| ( f(X0) != f(c) ) ),
inference(instantiation,[status(thm)],[c_336]) ).
tcf(c_987,plain,
f(c) != f(f(f(f(c)))),
inference(resolution,[status(thm)],[c_945,c_619]) ).
tcf(c_996,plain,
! [X0: $i] :
( ( f(f(c)) = f(f(X0)) )
| ( f(c) != f(X0) ) ),
inference(instantiation,[status(thm)],[c_361]) ).
tcf(c_1004,plain,
! [X0: $i,X1: $i] :
( r(X1,f(X0))
| r(f(f(c)),X1)
| r(f(f(c)),f(X0))
| ( X1 = f(X0) )
| ( f(f(c)) = X1 )
| ( f(f(c)) = f(X0) ) ),
inference(instantiation,[status(thm)],[c_268]) ).
tcf(c_1005,plain,
! [X0: $i,X1: $i] :
( r(f(c),X1)
| r(X1,f(X0))
| r(f(c),f(X0))
| ( X1 = f(X0) )
| ( f(c) = X1 )
| ( f(c) = f(X0) ) ),
inference(instantiation,[status(thm)],[c_265]) ).
tcf(c_1008,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X1 )
| ( X2 = f(X0) )
| ( f(X0) = X1 )
| ~ r(X2,X1)
| ~ r(X2,f(X0))
| ~ r(f(X0),X1) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_1036,plain,
( r(f(f(c)),f(f(f(f(c)))))
| ~ r(f(f(f(f(c)))),f(f(c))) ),
inference(instantiation,[status(thm)],[c_472]) ).
tcf(c_1039,plain,
( r(f(f(c)),f(f(f(f(f(c))))))
| ~ r(f(f(f(f(f(c))))),f(f(c))) ),
inference(instantiation,[status(thm)],[c_269]) ).
tcf(c_1071,plain,
! [X0: $i] :
( ( X0 = f(f(c)) )
| ( f(f(f(f(f(c))))) = X0 )
| ( f(f(f(f(f(c))))) = f(f(c)) )
| ~ r(X0,f(f(c)))
| ~ r(f(f(f(f(f(c))))),X0)
| ~ r(f(f(f(f(f(c))))),f(f(c))) ),
inference(instantiation,[status(thm)],[c_294]) ).
tcf(c_1072,plain,
( ( c = f(f(c)) )
| ( f(f(f(f(f(c))))) = c )
| ( f(f(f(f(f(c))))) = f(f(c)) )
| ~ r(c,f(f(c)))
| ~ r(f(f(f(f(f(c))))),c)
| ~ r(f(f(f(f(f(c))))),f(f(c))) ),
inference(instantiation,[status(thm)],[c_1071]) ).
tcf(c_1074,plain,
! [X0: $i] :
( ( X0 = f(f(f(c))) )
| ( f(f(f(f(f(c))))) = X0 )
| ( f(f(f(f(f(c))))) = f(f(f(c))) )
| ~ r(X0,f(f(f(c))))
| ~ r(f(f(f(f(f(c))))),X0)
| ~ r(f(f(f(f(f(c))))),f(f(f(c)))) ),
inference(instantiation,[status(thm)],[c_294]) ).
tcf(c_1075,plain,
( ( c = f(f(f(c))) )
| ( f(f(f(f(f(c))))) = c )
| ( f(f(f(f(f(c))))) = f(f(f(c))) )
| ~ r(c,f(f(f(c))))
| ~ r(f(f(f(f(f(c))))),c)
| ~ r(f(f(f(f(f(c))))),f(f(f(c)))) ),
inference(instantiation,[status(thm)],[c_1074]) ).
tcf(c_1079,plain,
! [X0: $i] :
( r(f(f(f(f(f(c))))),X0)
| ~ r(X0,f(f(f(f(f(c)))))) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_1080,plain,
( r(f(f(f(f(f(c))))),c)
| ~ r(c,f(f(f(f(f(c)))))) ),
inference(instantiation,[status(thm)],[c_1079]) ).
tcf(c_1081,plain,
! [X0: $i] :
( r(X0,f(c))
| r(X0,f(f(c)))
| r(f(c),f(f(c)))
| ( X0 = f(c) )
| ( X0 = f(f(c)) )
| ( f(c) = f(f(c)) ) ),
inference(instantiation,[status(thm)],[c_399]) ).
tcf(c_1082,plain,
( r(c,f(c))
| r(c,f(f(c)))
| r(f(c),f(f(c)))
| ( c = f(c) )
| ( c = f(f(c)) )
| ( f(c) = f(f(c)) ) ),
inference(instantiation,[status(thm)],[c_1081]) ).
tcf(c_1090,plain,
( r(f(f(f(f(f(c))))),f(f(c)))
| ~ r(f(f(c)),f(f(f(f(f(c)))))) ),
inference(instantiation,[status(thm)],[c_412]) ).
tcf(c_1093,plain,
! [X0: $i] :
( ( X0 = f(f(f(f(f(c))))) )
| ( f(f(c)) = X0 )
| ( f(f(c)) = f(f(f(f(f(c))))) )
| ~ r(f(f(c)),X0)
| ~ r(X0,f(f(f(f(f(c))))))
| ~ r(f(f(c)),f(f(f(f(f(c)))))) ),
inference(instantiation,[status(thm)],[c_244]) ).
tcf(c_1094,plain,
( ( c = f(f(f(f(f(c))))) )
| ( f(f(c)) = c )
| ( f(f(c)) = f(f(f(f(f(c))))) )
| ~ r(f(f(c)),c)
| ~ r(c,f(f(f(f(f(c))))))
| ~ r(f(f(c)),f(f(f(f(f(c)))))) ),
inference(instantiation,[status(thm)],[c_1093]) ).
tcf(c_1098,plain,
( ( f(f(f(c))) = f(c) )
| ( f(f(f(f(f(f(c)))))) = f(c) )
| ( f(f(f(f(f(f(c)))))) = f(f(f(c))) )
| ~ r(f(f(f(c))),f(c))
| ~ r(f(f(f(f(f(f(c)))))),f(c))
| ~ r(f(f(f(f(f(f(c)))))),f(f(f(c)))) ),
inference(instantiation,[status(thm)],[c_213]) ).
tcf(c_1117,plain,
( ( f(f(f(f(c)))) = f(f(c)) )
| ( f(f(f(f(f(f(c)))))) = f(f(c)) )
| ( f(f(f(f(f(f(c)))))) = f(f(f(f(c)))) )
| ~ r(f(f(f(f(c)))),f(f(c)))
| ~ r(f(f(f(f(f(f(c)))))),f(f(c)))
| ~ r(f(f(f(f(f(f(c)))))),f(f(f(f(c))))) ),
inference(instantiation,[status(thm)],[c_218]) ).
tcf(c_1126,plain,
( r(f(c),f(f(c)))
| r(f(c),f(f(f(f(c)))))
| r(f(f(f(f(c)))),f(f(c)))
| ( f(c) = f(f(c)) )
| ( f(c) = f(f(f(f(c)))) )
| ( f(f(f(f(c)))) = f(f(c)) ) ),
inference(instantiation,[status(thm)],[c_501]) ).
tcf(c_1134,plain,
( ( f(c) = f(f(c)) )
| ( f(f(f(f(f(c))))) = f(c) )
| ( f(f(f(f(f(c))))) = f(f(c)) )
| ~ r(f(c),f(f(c)))
| ~ r(f(f(f(f(f(c))))),f(c))
| ~ r(f(f(f(f(f(c))))),f(f(c))) ),
inference(instantiation,[status(thm)],[c_225]) ).
tcf(c_1146,plain,
( ( f(f(f(c))) = f(c) )
| ( f(f(f(f(f(c))))) = f(c) )
| ( f(f(f(f(f(c))))) = f(f(f(c))) )
| ~ r(f(f(f(c))),f(c))
| ~ r(f(f(f(f(f(c))))),f(c))
| ~ r(f(f(f(f(f(c))))),f(f(f(c)))) ),
inference(instantiation,[status(thm)],[c_235]) ).
tcf(c_1170,plain,
! [X0: $i] :
( ( f(c) = X0 )
| ( f(c) = f(f(c)) )
| ( f(f(c)) = X0 )
| ~ r(f(c),X0)
| ~ r(f(f(c)),X0)
| ~ r(f(c),f(f(c))) ),
inference(instantiation,[status(thm)],[c_240]) ).
tcf(c_1171,plain,
( ( f(c) = c )
| ( f(c) = f(f(c)) )
| ( f(f(c)) = c )
| ~ r(f(c),c)
| ~ r(f(f(c)),c)
| ~ r(f(c),f(f(c))) ),
inference(instantiation,[status(thm)],[c_1170]) ).
tcf(c_1177,plain,
! [X0: $i] :
( ( f(c) = X0 )
| ( f(c) = f(f(f(f(c)))) )
| ( f(f(f(f(c)))) = X0 )
| ~ r(f(c),X0)
| ~ r(f(f(f(f(c)))),X0)
| ~ r(f(c),f(f(f(f(c))))) ),
inference(instantiation,[status(thm)],[c_240]) ).
tcf(c_1178,plain,
( ( f(c) = c )
| ( f(c) = f(f(f(f(c)))) )
| ( f(f(f(f(c)))) = c )
| ~ r(f(c),c)
| ~ r(f(f(f(f(c)))),c)
| ~ r(f(c),f(f(f(f(c))))) ),
inference(instantiation,[status(thm)],[c_1177]) ).
tcf(c_1193,plain,
! [X0: $i,X1: $i] :
( ( X1 = f(X0) )
| ( f(c) = X1 )
| ( f(c) = f(X0) )
| ~ r(f(c),X1)
| ~ r(X1,f(X0))
| ~ r(f(c),f(X0)) ),
inference(instantiation,[status(thm)],[c_240]) ).
tcf(c_1197,plain,
f(f(f(c))) != f(f(f(f(f(c))))),
inference(resolution,[status(thm)],[c_55,c_945]) ).
tcf(c_1230,plain,
! [X0: $i] :
( ( f(f(f(c))) = f(X0) )
| ( f(X0) != f(f(f(c))) )
| ( f(f(f(c))) != f(f(f(c))) ) ),
inference(instantiation,[status(thm)],[c_347]) ).
tcf(c_1231,plain,
( ( f(f(f(c))) = f(c) )
| ( f(c) != f(f(f(c))) )
| ( f(f(f(c))) != f(f(f(c))) ) ),
inference(instantiation,[status(thm)],[c_1230]) ).
tcf(c_1243,plain,
! [X0: $i] :
( ( f(f(f(f(c)))) = f(X0) )
| ( f(X0) != f(f(f(f(c)))) )
| ( f(f(f(f(c)))) != f(f(f(f(c)))) ) ),
inference(instantiation,[status(thm)],[c_353]) ).
tcf(c_1267,plain,
! [X0: $i] :
( r(X0,f(c))
| r(X0,f(f(f(f(f(c))))))
| r(f(f(f(f(f(c))))),f(c))
| ( X0 = f(c) )
| ( X0 = f(f(f(f(f(c))))) ) ),
inference(resolution,[status(thm)],[c_51,c_550]) ).
tcf(c_1268,plain,
( r(c,f(c))
| r(c,f(f(f(f(f(c))))))
| r(f(f(f(f(f(c))))),f(c))
| ( c = f(c) )
| ( c = f(f(f(f(f(c))))) ) ),
inference(instantiation,[status(thm)],[c_1267]) ).
tcf(c_1270,plain,
! [X0: $i] :
( r(X0,f(f(c)))
| r(X0,f(f(f(f(f(c))))))
| r(f(f(f(f(f(c))))),f(f(c)))
| ( X0 = f(f(c)) )
| ( X0 = f(f(f(f(f(c))))) ) ),
inference(resolution,[status(thm)],[c_51,c_619]) ).
tcf(c_1271,plain,
( r(c,f(f(c)))
| r(c,f(f(f(f(f(c))))))
| r(f(f(f(f(f(c))))),f(f(c)))
| ( c = f(f(c)) )
| ( c = f(f(f(f(f(c))))) ) ),
inference(instantiation,[status(thm)],[c_1270]) ).
tcf(c_1273,plain,
! [X0: $i] :
( r(X0,f(c))
| r(X0,f(f(f(f(c)))))
| r(f(f(f(f(c)))),f(c))
| ( X0 = f(c) )
| ( X0 = f(f(f(f(c)))) ) ),
inference(resolution,[status(thm)],[c_51,c_622]) ).
tcf(c_1274,plain,
( r(c,f(c))
| r(c,f(f(f(f(c)))))
| r(f(f(f(f(c)))),f(c))
| ( c = f(c) )
| ( c = f(f(f(f(c)))) ) ),
inference(instantiation,[status(thm)],[c_1273]) ).
tcf(c_1292,plain,
! [X0: $i] :
( r(X0,f(c))
| r(f(f(f(f(c)))),X0)
| r(f(f(f(f(c)))),f(c))
| ( X0 = f(c) )
| ( f(f(f(f(c)))) = X0 ) ),
inference(resolution,[status(thm)],[c_51,c_622]) ).
tcf(c_1293,plain,
( r(c,f(c))
| r(f(f(f(f(c)))),c)
| r(f(f(f(f(c)))),f(c))
| ( c = f(c) )
| ( f(f(f(f(c)))) = c ) ),
inference(instantiation,[status(thm)],[c_1292]) ).
tcf(c_1324,plain,
( ( f(f(f(c))) = f(c) )
| ( f(f(f(c))) = f(f(f(f(f(f(c)))))) )
| ( f(f(f(f(f(f(c)))))) = f(c) )
| ~ r(f(f(f(c))),f(c))
| ~ r(f(f(f(f(f(f(c)))))),f(c))
| ~ r(f(f(f(c))),f(f(f(f(f(f(c))))))) ),
inference(instantiation,[status(thm)],[c_248]) ).
tcf(c_1329,plain,
! [X0: $i] :
( ( f(c) = X0 )
| ( f(f(f(c))) = X0 )
| ( f(f(f(c))) = f(c) )
| ~ r(f(c),X0)
| ~ r(f(f(f(c))),X0)
| ~ r(f(f(f(c))),f(c)) ),
inference(instantiation,[status(thm)],[c_248]) ).
tcf(c_1330,plain,
( ( f(c) = c )
| ( f(f(f(c))) = c )
| ( f(f(f(c))) = f(c) )
| ~ r(f(c),c)
| ~ r(f(f(f(c))),c)
| ~ r(f(f(f(c))),f(c)) ),
inference(instantiation,[status(thm)],[c_1329]) ).
tcf(c_1331,plain,
( ( f(f(f(c))) = c )
| ( f(f(f(c))) = f(f(f(f(f(c))))) )
| ( f(f(f(f(f(c))))) = c )
| ~ r(f(f(f(c))),c)
| ~ r(f(f(f(f(f(c))))),c)
| ~ r(f(f(f(c))),f(f(f(f(f(c)))))) ),
inference(instantiation,[status(thm)],[c_248]) ).
tcf(c_1334,plain,
( ( f(f(f(c))) = f(c) )
| ( f(f(f(c))) = f(f(f(f(f(c))))) )
| ( f(f(f(f(f(c))))) = f(c) )
| ~ r(f(f(f(c))),f(c))
| ~ r(f(f(f(f(f(c))))),f(c))
| ~ r(f(f(f(c))),f(f(f(f(f(c)))))) ),
inference(instantiation,[status(thm)],[c_248]) ).
tcf(c_1338,plain,
! [X0: $i] :
( ( f(f(f(c))) = X0 )
| ( f(f(f(c))) = f(f(f(f(c)))) )
| ( f(f(f(f(c)))) = X0 )
| ~ r(f(f(f(c))),X0)
| ~ r(f(f(f(f(c)))),X0)
| ~ r(f(f(f(c))),f(f(f(f(c))))) ),
inference(instantiation,[status(thm)],[c_248]) ).
tcf(c_1339,plain,
( ( f(f(f(c))) = c )
| ( f(f(f(c))) = f(f(f(f(c)))) )
| ( f(f(f(f(c)))) = c )
| ~ r(f(f(f(c))),c)
| ~ r(f(f(f(f(c)))),c)
| ~ r(f(f(f(c))),f(f(f(f(c))))) ),
inference(instantiation,[status(thm)],[c_1338]) ).
tcf(c_1350,plain,
( ( c = f(f(f(f(f(c))))) )
| ( f(f(f(c))) = c )
| ( f(f(f(c))) = f(f(f(f(f(c))))) )
| ~ r(f(f(f(c))),c)
| ~ r(c,f(f(f(f(f(c))))))
| ~ r(f(f(f(c))),f(f(f(f(f(c)))))) ),
inference(instantiation,[status(thm)],[c_248]) ).
tcf(c_1353,plain,
! [X0: $i] :
( ( X0 = f(c) )
| ( f(f(f(c))) = X0 )
| ( f(f(f(c))) = f(c) )
| ~ r(X0,f(c))
| ~ r(f(f(f(c))),X0)
| ~ r(f(f(f(c))),f(c)) ),
inference(instantiation,[status(thm)],[c_248]) ).
tcf(c_1362,plain,
( ( f(c) = f(f(f(f(f(f(c)))))) )
| ( f(f(f(f(c)))) = f(c) )
| ( f(f(f(f(c)))) = f(f(f(f(f(f(c)))))) )
| ~ r(f(f(f(f(c)))),f(c))
| ~ r(f(c),f(f(f(f(f(f(c)))))))
| ~ r(f(f(f(f(c)))),f(f(f(f(f(f(c))))))) ),
inference(instantiation,[status(thm)],[c_252]) ).
tcf(c_1364,plain,
( ( f(f(c)) = f(f(f(f(f(f(c)))))) )
| ( f(f(f(f(c)))) = f(f(c)) )
| ( f(f(f(f(c)))) = f(f(f(f(f(f(c)))))) )
| ~ r(f(f(f(f(c)))),f(f(c)))
| ~ r(f(f(c)),f(f(f(f(f(f(c)))))))
| ~ r(f(f(f(f(c)))),f(f(f(f(f(f(c))))))) ),
inference(instantiation,[status(thm)],[c_252]) ).
tcf(c_1365,plain,
( ( f(f(f(f(c)))) = f(f(c)) )
| ( f(f(f(f(c)))) = f(f(f(f(f(f(c)))))) )
| ( f(f(f(f(f(f(c)))))) = f(f(c)) )
| ~ r(f(f(f(f(c)))),f(f(c)))
| ~ r(f(f(f(f(f(f(c)))))),f(f(c)))
| ~ r(f(f(f(f(c)))),f(f(f(f(f(f(c))))))) ),
inference(instantiation,[status(thm)],[c_252]) ).
tcf(c_1368,plain,
! [X0: $i] :
( ( f(c) = X0 )
| ( f(f(f(f(c)))) = X0 )
| ( f(f(f(f(c)))) = f(c) )
| ~ r(f(c),X0)
| ~ r(f(f(f(f(c)))),X0)
| ~ r(f(f(f(f(c)))),f(c)) ),
inference(instantiation,[status(thm)],[c_252]) ).
tcf(c_1369,plain,
( ( f(c) = c )
| ( f(f(f(f(c)))) = c )
| ( f(f(f(f(c)))) = f(c) )
| ~ r(f(c),c)
| ~ r(f(f(f(f(c)))),c)
| ~ r(f(f(f(f(c)))),f(c)) ),
inference(instantiation,[status(thm)],[c_1368]) ).
tcf(c_1370,plain,
( ( f(f(f(f(c)))) = c )
| ( f(f(f(f(c)))) = f(f(f(f(f(c))))) )
| ( f(f(f(f(f(c))))) = c )
| ~ r(f(f(f(f(c)))),c)
| ~ r(f(f(f(f(f(c))))),c)
| ~ r(f(f(f(f(c)))),f(f(f(f(f(c)))))) ),
inference(instantiation,[status(thm)],[c_252]) ).
tcf(c_1371,plain,
! [X0: $i] :
( ( f(f(c)) = X0 )
| ( f(f(f(f(c)))) = X0 )
| ( f(f(f(f(c)))) = f(f(c)) )
| ~ r(f(f(c)),X0)
| ~ r(f(f(f(f(c)))),X0)
| ~ r(f(f(f(f(c)))),f(f(c))) ),
inference(instantiation,[status(thm)],[c_252]) ).
tcf(c_1372,plain,
( ( f(f(c)) = c )
| ( f(f(f(f(c)))) = c )
| ( f(f(f(f(c)))) = f(f(c)) )
| ~ r(f(f(c)),c)
| ~ r(f(f(f(f(c)))),c)
| ~ r(f(f(f(f(c)))),f(f(c))) ),
inference(instantiation,[status(thm)],[c_1371]) ).
tcf(c_1373,plain,
( ( f(f(f(f(c)))) = f(c) )
| ( f(f(f(f(c)))) = f(f(f(f(f(c))))) )
| ( f(f(f(f(f(c))))) = f(c) )
| ~ r(f(f(f(f(c)))),f(c))
| ~ r(f(f(f(f(f(c))))),f(c))
| ~ r(f(f(f(f(c)))),f(f(f(f(f(c)))))) ),
inference(instantiation,[status(thm)],[c_252]) ).
tcf(c_1380,plain,
( ( f(f(f(f(c)))) = f(f(f(c))) )
| ( f(f(f(f(c)))) = f(f(f(f(f(c))))) )
| ( f(f(f(f(f(c))))) = f(f(f(c))) )
| ~ r(f(f(f(f(c)))),f(f(f(c))))
| ~ r(f(f(f(f(f(c))))),f(f(f(c))))
| ~ r(f(f(f(f(c)))),f(f(f(f(f(c)))))) ),
inference(instantiation,[status(thm)],[c_252]) ).
tcf(c_1389,plain,
( ( c = f(f(f(f(f(c))))) )
| ( f(f(f(f(c)))) = c )
| ( f(f(f(f(c)))) = f(f(f(f(f(c))))) )
| ~ r(f(f(f(f(c)))),c)
| ~ r(c,f(f(f(f(f(c))))))
| ~ r(f(f(f(f(c)))),f(f(f(f(f(c)))))) ),
inference(instantiation,[status(thm)],[c_252]) ).
tcf(c_1392,plain,
! [X0: $i] :
( ( X0 = f(c) )
| ( f(f(f(f(c)))) = X0 )
| ( f(f(f(f(c)))) = f(c) )
| ~ r(X0,f(c))
| ~ r(f(f(f(f(c)))),X0)
| ~ r(f(f(f(f(c)))),f(c)) ),
inference(instantiation,[status(thm)],[c_252]) ).
tcf(c_1393,plain,
( ( c = f(c) )
| ( f(f(f(f(c)))) = c )
| ( f(f(f(f(c)))) = f(c) )
| ~ r(c,f(c))
| ~ r(f(f(f(f(c)))),c)
| ~ r(f(f(f(f(c)))),f(c)) ),
inference(instantiation,[status(thm)],[c_1392]) ).
tcf(c_1394,plain,
! [X0: $i,X1: $i] :
( ( X1 = f(X0) )
| ( f(f(f(f(c)))) = X1 )
| ( f(f(f(f(c)))) = f(X0) )
| ~ r(X1,f(X0))
| ~ r(f(f(f(f(c)))),X1)
| ~ r(f(f(f(f(c)))),f(X0)) ),
inference(instantiation,[status(thm)],[c_252]) ).
tcf(c_1413,plain,
! [X0: $i] :
( ( X0 = f(f(f(c))) )
| ( f(f(f(f(f(f(c)))))) = X0 )
| ( f(f(f(f(f(f(c)))))) = f(f(f(c))) )
| ~ r(X0,f(f(f(c))))
| ~ r(f(f(f(f(f(f(c)))))),X0)
| ~ r(f(f(f(f(f(f(c)))))),f(f(f(c)))) ),
inference(instantiation,[status(thm)],[c_578]) ).
tcf(c_1475,plain,
! [X0: $i] :
( ( f(f(f(f(f(c))))) = f(f(X0)) )
| ( f(f(f(f(c)))) != f(X0) ) ),
inference(instantiation,[status(thm)],[c_809]) ).
tcf(c_1537,plain,
! [X0: $i] :
( ( X0 = f(c) )
| ( f(f(c)) = X0 )
| ( f(f(c)) = f(c) )
| ~ r(X0,f(c))
| ~ r(f(f(c)),X0)
| ~ r(f(f(c)),f(c)) ),
inference(instantiation,[status(thm)],[c_244]) ).
tcf(c_1538,plain,
( ( c = f(c) )
| ( f(f(c)) = c )
| ( f(f(c)) = f(c) )
| ~ r(c,f(c))
| ~ r(f(f(c)),c)
| ~ r(f(f(c)),f(c)) ),
inference(instantiation,[status(thm)],[c_1537]) ).
tcf(c_1778,plain,
( ( f(c) = f(f(c)) )
| ( f(c) != f(c) )
| ( f(f(c)) != f(c) ) ),
inference(instantiation,[status(thm)],[c_976]) ).
tcf(c_1915,plain,
! [X0: $i] :
( ( f(f(f(c))) = f(f(f(X0))) )
| ( f(f(c)) != f(f(X0)) ) ),
inference(instantiation,[status(thm)],[c_890]) ).
tcf(c_1922,plain,
( ( f(f(c)) = f(f(f(c))) )
| ( f(c) != f(f(c)) ) ),
inference(instantiation,[status(thm)],[c_996]) ).
tcf(c_1943,plain,
! [X0: $i] :
( ( f(X0) = f(f(c)) )
| ( X0 != f(c) ) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_1944,plain,
( ( f(c) = f(f(c)) )
| ( c != f(c) ) ),
inference(instantiation,[status(thm)],[c_1943]) ).
tcf(c_1973,plain,
( ( f(f(f(f(c)))) = f(f(c)) )
| ( f(f(c)) != f(f(f(f(c)))) )
| ( f(f(f(f(c)))) != f(f(f(f(c)))) ) ),
inference(instantiation,[status(thm)],[c_1243]) ).
tcf(c_2037,plain,
( ( f(f(f(f(f(f(c)))))) = f(f(f(c))) )
| ( f(f(f(c))) != f(f(f(f(f(f(c)))))) )
| ( f(f(f(f(f(f(c)))))) != f(f(f(f(f(f(c)))))) ) ),
inference(instantiation,[status(thm)],[c_251]) ).
tcf(c_2062,plain,
( ( f(f(f(f(f(f(c)))))) = f(f(f(f(c)))) )
| ( f(f(f(f(c)))) != f(f(f(f(f(f(c)))))) )
| ( f(f(f(f(f(f(c)))))) != f(f(f(f(f(f(c)))))) ) ),
inference(instantiation,[status(thm)],[c_255]) ).
tcf(c_2121,plain,
( ( f(f(f(c))) = f(f(f(f(c)))) )
| ( f(f(f(c))) != f(f(f(c))) )
| ( f(f(f(f(c)))) != f(f(f(c))) ) ),
inference(instantiation,[status(thm)],[c_1230]) ).
tcf(c_2123,plain,
( r(f(f(f(f(f(c))))),f(c))
| ~ r(f(c),f(f(f(f(f(c)))))) ),
inference(instantiation,[status(thm)],[c_1079]) ).
tcf(c_2129,plain,
( ( f(c) = f(f(f(f(f(f(c)))))) )
| ( f(f(f(f(f(c))))) = f(c) )
| ( f(f(f(f(f(c))))) = f(f(f(f(f(f(c)))))) )
| ~ r(f(f(f(f(f(c))))),f(c))
| ~ r(f(c),f(f(f(f(f(f(c)))))))
| ~ r(f(f(f(f(f(c))))),f(f(f(f(f(f(c))))))) ),
inference(instantiation,[status(thm)],[c_294]) ).
tcf(c_2131,plain,
( ( f(f(c)) = f(f(f(f(f(f(c)))))) )
| ( f(f(f(f(f(c))))) = f(f(c)) )
| ( f(f(f(f(f(c))))) = f(f(f(f(f(f(c)))))) )
| ~ r(f(f(f(f(f(c))))),f(f(c)))
| ~ r(f(f(c)),f(f(f(f(f(f(c)))))))
| ~ r(f(f(f(f(f(c))))),f(f(f(f(f(f(c))))))) ),
inference(instantiation,[status(thm)],[c_294]) ).
tcf(c_2149,plain,
! [X0: $i] :
( ( f(f(f(f(f(c))))) = f(X0) )
| ( f(f(f(f(f(c))))) = f(f(f(f(f(f(c)))))) )
| ( f(f(f(f(f(f(c)))))) = f(X0) )
| ~ r(f(f(f(f(f(c))))),f(X0))
| ~ r(f(f(f(f(f(f(c)))))),f(X0))
| ~ r(f(f(f(f(f(c))))),f(f(f(f(f(f(c))))))) ),
inference(instantiation,[status(thm)],[c_294]) ).
tcf(c_2150,plain,
( ( f(f(f(f(f(c))))) = f(c) )
| ( f(f(f(f(f(c))))) = f(f(f(f(f(f(c)))))) )
| ( f(f(f(f(f(f(c)))))) = f(c) )
| ~ r(f(f(f(f(f(c))))),f(c))
| ~ r(f(f(f(f(f(f(c)))))),f(c))
| ~ r(f(f(f(f(f(c))))),f(f(f(f(f(f(c))))))) ),
inference(instantiation,[status(thm)],[c_2149]) ).
tcf(c_2177,plain,
( r(f(f(f(c))),f(c))
| ~ r(f(c),f(f(f(c)))) ),
inference(instantiation,[status(thm)],[c_400]) ).
tcf(c_2178,plain,
( r(f(f(f(f(c)))),f(c))
| ~ r(f(c),f(f(f(f(c))))) ),
inference(instantiation,[status(thm)],[c_400]) ).
tcf(c_2186,plain,
( r(f(c),f(f(f(c))))
| ~ r(f(f(f(c))),f(c)) ),
inference(instantiation,[status(thm)],[c_266]) ).
tcf(c_2187,plain,
( r(f(c),f(f(f(f(c)))))
| ~ r(f(f(f(f(c)))),f(c)) ),
inference(instantiation,[status(thm)],[c_266]) ).
tcf(c_2188,plain,
( r(f(c),f(f(f(f(f(c))))))
| ~ r(f(f(f(f(f(c))))),f(c)) ),
inference(instantiation,[status(thm)],[c_266]) ).
tcf(c_2305,plain,
( ( f(f(f(f(c)))) = f(f(f(f(f(c))))) )
| ( f(f(f(c))) != f(f(f(f(c)))) ) ),
inference(instantiation,[status(thm)],[c_903]) ).
tcf(c_2363,plain,
! [X0: $i] :
( r(f(X0),f(f(c)))
| r(f(f(f(f(c)))),f(X0))
| r(f(f(f(f(c)))),f(f(c)))
| ( f(X0) = f(f(c)) )
| ( f(f(f(f(c)))) = f(X0) )
| ( f(f(f(f(c)))) = f(f(c)) ) ),
inference(instantiation,[status(thm)],[c_913]) ).
tcf(c_2364,plain,
( r(f(c),f(f(c)))
| r(f(f(f(f(c)))),f(c))
| r(f(f(f(f(c)))),f(f(c)))
| ( f(c) = f(f(c)) )
| ( f(f(f(f(c)))) = f(c) )
| ( f(f(f(f(c)))) = f(f(c)) ) ),
inference(instantiation,[status(thm)],[c_2363]) ).
tcf(c_2652,plain,
( r(f(f(f(c))),f(c))
| r(f(c),f(f(f(f(f(c))))))
| r(f(f(f(c))),f(f(f(f(f(c))))))
| ( f(c) = f(f(f(f(f(c))))) )
| ( f(f(f(c))) = f(c) )
| ( f(f(f(c))) = f(f(f(f(f(c))))) ) ),
inference(instantiation,[status(thm)],[c_399]) ).
tcf(c_2654,plain,
( r(f(f(f(f(c)))),f(f(f(c))))
| r(f(f(f(c))),f(f(f(f(f(c))))))
| r(f(f(f(f(c)))),f(f(f(f(f(c))))))
| ( f(f(f(c))) = f(f(f(f(f(c))))) )
| ( f(f(f(f(c)))) = f(f(f(c))) )
| ( f(f(f(f(c)))) = f(f(f(f(f(c))))) ) ),
inference(instantiation,[status(thm)],[c_633]) ).
tcf(c_2656,plain,
( r(f(f(f(c))),f(f(f(f(c)))))
| r(f(f(f(c))),f(f(f(f(f(c))))))
| r(f(f(f(f(c)))),f(f(f(f(f(c))))))
| ( f(f(f(c))) = f(f(f(f(c)))) )
| ( f(f(f(c))) = f(f(f(f(f(c))))) )
| ( f(f(f(f(c)))) = f(f(f(f(f(c))))) ) ),
inference(instantiation,[status(thm)],[c_607]) ).
tcf(c_2659,plain,
( r(f(f(c)),f(f(f(c))))
| r(f(f(c)),f(f(f(f(f(c))))))
| r(f(f(f(c))),f(f(f(f(f(c))))))
| ( f(f(c)) = f(f(f(c))) )
| ( f(f(c)) = f(f(f(f(f(c))))) )
| ( f(f(f(c))) = f(f(f(f(f(c))))) ) ),
inference(instantiation,[status(thm)],[c_533]) ).
tcf(c_2660,plain,
! [X0: $i] :
( r(X0,f(f(f(c))))
| r(X0,f(f(f(f(f(c))))))
| r(f(f(f(c))),f(f(f(f(f(c))))))
| ( X0 = f(f(f(c))) )
| ( X0 = f(f(f(f(f(c))))) )
| ( f(f(f(c))) = f(f(f(f(f(c))))) ) ),
inference(instantiation,[status(thm)],[c_468]) ).
tcf(c_2662,plain,
( r(c,f(f(f(c))))
| r(c,f(f(f(f(f(c))))))
| r(f(f(f(c))),f(f(f(f(f(c))))))
| ( c = f(f(f(c))) )
| ( c = f(f(f(f(f(c))))) )
| ( f(f(f(c))) = f(f(f(f(f(c))))) ) ),
inference(instantiation,[status(thm)],[c_2660]) ).
tcf(c_2722,plain,
! [X0: $i] :
( ( X0 = f(c) )
| ( X0 = f(f(f(c))) )
| ( f(c) = f(f(f(c))) )
| ~ r(X0,f(c))
| ~ r(X0,f(f(f(c))))
| ~ r(f(c),f(f(f(c)))) ),
inference(instantiation,[status(thm)],[c_972]) ).
tcf(c_2723,plain,
( ( c = f(c) )
| ( c = f(f(f(c))) )
| ( f(c) = f(f(f(c))) )
| ~ r(c,f(c))
| ~ r(c,f(f(f(c))))
| ~ r(f(c),f(f(f(c)))) ),
inference(instantiation,[status(thm)],[c_2722]) ).
tcf(c_2726,plain,
! [X0: $i] :
( ( X0 = f(c) )
| ( X0 = f(f(c)) )
| ( f(c) = f(f(c)) )
| ~ r(X0,f(c))
| ~ r(X0,f(f(c)))
| ~ r(f(c),f(f(c))) ),
inference(instantiation,[status(thm)],[c_972]) ).
tcf(c_2727,plain,
( ( c = f(c) )
| ( c = f(f(c)) )
| ( f(c) = f(f(c)) )
| ~ r(c,f(c))
| ~ r(c,f(f(c)))
| ~ r(f(c),f(f(c))) ),
inference(instantiation,[status(thm)],[c_2726]) ).
tcf(c_2745,plain,
! [X0: $i] :
( r(f(f(c)),X0)
| r(X0,f(f(f(c))))
| r(f(f(c)),f(f(f(c))))
| ( X0 = f(f(f(c))) )
| ( f(f(c)) = X0 )
| ( f(f(c)) = f(f(f(c))) ) ),
inference(instantiation,[status(thm)],[c_1004]) ).
tcf(c_2746,plain,
( r(f(f(c)),c)
| r(c,f(f(f(c))))
| r(f(f(c)),f(f(f(c))))
| ( c = f(f(f(c))) )
| ( f(f(c)) = c )
| ( f(f(c)) = f(f(f(c))) ) ),
inference(instantiation,[status(thm)],[c_2745]) ).
tcf(c_2822,plain,
! [X0: $i] :
( r(f(c),X0)
| r(X0,f(f(f(f(f(c))))))
| r(f(c),f(f(f(f(f(c))))))
| ( X0 = f(f(f(f(f(c))))) )
| ( f(c) = X0 )
| ( f(c) = f(f(f(f(f(c))))) ) ),
inference(instantiation,[status(thm)],[c_1005]) ).
tcf(c_2823,plain,
( r(f(c),c)
| r(c,f(f(f(f(f(c))))))
| r(f(c),f(f(f(f(f(c))))))
| ( c = f(f(f(f(f(c))))) )
| ( f(c) = c )
| ( f(c) = f(f(f(f(f(c))))) ) ),
inference(instantiation,[status(thm)],[c_2822]) ).
tcf(c_2838,plain,
( ( f(f(f(f(f(c))))) = f(f(c)) )
| ( f(f(f(f(f(c))))) = f(f(f(f(f(f(c)))))) )
| ( f(f(f(f(f(f(c)))))) = f(f(c)) )
| ~ r(f(f(f(f(f(c))))),f(f(c)))
| ~ r(f(f(f(f(f(f(c)))))),f(f(c)))
| ~ r(f(f(f(f(f(c))))),f(f(f(f(f(f(c))))))) ),
inference(instantiation,[status(thm)],[c_1071]) ).
tcf(c_2876,plain,
( ( f(f(f(f(f(f(c)))))) = f(f(f(f(c)))) )
| ( f(f(f(f(c)))) != f(f(f(f(f(c))))) )
| ( f(f(f(f(f(f(c)))))) != f(f(f(f(f(c))))) ) ),
inference(instantiation,[status(thm)],[c_255]) ).
tcf(c_2930,plain,
! [X0: $i,X1: $i] :
( ( f(X0) = X1 )
| ( f(f(c)) = X1 )
| ( f(f(c)) = f(X0) )
| ~ r(f(X0),X1)
| ~ r(f(f(c)),X1)
| ~ r(f(f(c)),f(X0)) ),
inference(instantiation,[status(thm)],[c_1008]) ).
tcf(c_2931,plain,
( ( f(c) = c )
| ( f(f(c)) = c )
| ( f(f(c)) = f(c) )
| ~ r(f(c),c)
| ~ r(f(f(c)),c)
| ~ r(f(f(c)),f(c)) ),
inference(instantiation,[status(thm)],[c_2930]) ).
tcf(c_2947,plain,
! [X0: $i] :
( ( c = f(X0) )
| ( c = f(f(f(f(f(c))))) )
| ( f(X0) = f(f(f(f(f(c))))) )
| ~ r(c,f(X0))
| ~ r(c,f(f(f(f(f(c))))))
| ~ r(f(X0),f(f(f(f(f(c)))))) ),
inference(instantiation,[status(thm)],[c_1008]) ).
tcf(c_2948,plain,
( ( c = f(c) )
| ( c = f(f(f(f(f(c))))) )
| ( f(c) = f(f(f(f(f(c))))) )
| ~ r(c,f(c))
| ~ r(c,f(f(f(f(f(c))))))
| ~ r(f(c),f(f(f(f(f(c)))))) ),
inference(instantiation,[status(thm)],[c_2947]) ).
tcf(c_2972,plain,
( ( f(f(c)) = f(f(f(c))) )
| ( f(f(c)) = f(f(f(f(f(c))))) )
| ( f(f(f(c))) = f(f(f(f(f(c))))) )
| ~ r(f(f(c)),f(f(f(c))))
| ~ r(f(f(c)),f(f(f(f(f(c))))))
| ~ r(f(f(f(c))),f(f(f(f(f(c)))))) ),
inference(instantiation,[status(thm)],[c_1093]) ).
tcf(c_2973,plain,
( ( f(f(c)) = f(f(f(f(c)))) )
| ( f(f(c)) = f(f(f(f(f(c))))) )
| ( f(f(f(f(c)))) = f(f(f(f(f(c))))) )
| ~ r(f(f(c)),f(f(f(f(c)))))
| ~ r(f(f(c)),f(f(f(f(f(c))))))
| ~ r(f(f(f(f(c)))),f(f(f(f(f(c)))))) ),
inference(instantiation,[status(thm)],[c_1093]) ).
tcf(c_2995,plain,
! [X0: $i] :
( r(f(f(c)),f(X0))
| r(f(f(f(f(f(f(c)))))),f(X0))
| r(f(f(f(f(f(f(c)))))),f(f(c)))
| ( f(f(c)) = f(X0) )
| ( f(f(f(f(f(f(c)))))) = f(X0) )
| ( f(f(f(f(f(f(c)))))) = f(f(c)) ) ),
inference(instantiation,[status(thm)],[c_411]) ).
tcf(c_2996,plain,
( r(f(f(c)),f(c))
| r(f(f(f(f(f(f(c)))))),f(c))
| r(f(f(f(f(f(f(c)))))),f(f(c)))
| ( f(f(c)) = f(c) )
| ( f(f(f(f(f(f(c)))))) = f(c) )
| ( f(f(f(f(f(f(c)))))) = f(f(c)) ) ),
inference(instantiation,[status(thm)],[c_2995]) ).
tcf(c_3019,plain,
( ( f(c) = f(f(c)) )
| ( f(c) = f(f(f(c))) )
| ( f(f(c)) = f(f(f(c))) )
| ~ r(f(c),f(f(c)))
| ~ r(f(c),f(f(f(c))))
| ~ r(f(f(c)),f(f(f(c)))) ),
inference(instantiation,[status(thm)],[c_1170]) ).
tcf(c_3039,plain,
( ( f(c) = f(f(c)) )
| ( f(c) = f(f(f(f(c)))) )
| ( f(f(f(f(c)))) = f(f(c)) )
| ~ r(f(c),f(f(c)))
| ~ r(f(c),f(f(f(f(c)))))
| ~ r(f(f(f(f(c)))),f(f(c))) ),
inference(instantiation,[status(thm)],[c_1177]) ).
tcf(c_3075,plain,
( ( f(c) = f(f(f(f(c)))) )
| ( f(f(f(c))) = f(c) )
| ( f(f(f(c))) = f(f(f(f(c)))) )
| ~ r(f(f(f(c))),f(c))
| ~ r(f(c),f(f(f(f(c)))))
| ~ r(f(f(f(c))),f(f(f(f(c))))) ),
inference(instantiation,[status(thm)],[c_1329]) ).
tcf(c_3141,plain,
( ( f(f(f(c))) = f(c) )
| ( f(f(f(c))) = f(f(f(f(c)))) )
| ( f(f(f(f(c)))) = f(c) )
| ~ r(f(f(f(c))),f(c))
| ~ r(f(f(f(f(c)))),f(c))
| ~ r(f(f(f(c))),f(f(f(f(c))))) ),
inference(instantiation,[status(thm)],[c_1353]) ).
tcf(c_3156,plain,
( ( f(c) = f(f(c)) )
| ( f(f(f(f(c)))) = f(c) )
| ( f(f(f(f(c)))) = f(f(c)) )
| ~ r(f(c),f(f(c)))
| ~ r(f(f(f(f(c)))),f(c))
| ~ r(f(f(f(f(c)))),f(f(c))) ),
inference(instantiation,[status(thm)],[c_1368]) ).
tcf(c_3163,plain,
( ( f(f(c)) = f(f(f(c))) )
| ( f(f(f(f(c)))) = f(f(c)) )
| ( f(f(f(f(c)))) = f(f(f(c))) )
| ~ r(f(f(c)),f(f(f(c))))
| ~ r(f(f(f(f(c)))),f(f(c)))
| ~ r(f(f(f(f(c)))),f(f(f(c)))) ),
inference(instantiation,[status(thm)],[c_1371]) ).
tcf(c_3204,plain,
! [X0: $i] :
( ( X0 = f(f(c)) )
| ( f(c) = X0 )
| ( f(c) = f(f(c)) )
| ~ r(f(c),X0)
| ~ r(X0,f(f(c)))
| ~ r(f(c),f(f(c))) ),
inference(instantiation,[status(thm)],[c_1193]) ).
tcf(c_3205,plain,
( ( c = f(f(c)) )
| ( f(c) = c )
| ( f(c) = f(f(c)) )
| ~ r(f(c),c)
| ~ r(c,f(f(c)))
| ~ r(f(c),f(f(c))) ),
inference(instantiation,[status(thm)],[c_3204]) ).
tcf(c_3206,plain,
! [X0: $i] :
( ( X0 = f(f(f(c))) )
| ( f(c) = X0 )
| ( f(c) = f(f(f(c))) )
| ~ r(f(c),X0)
| ~ r(X0,f(f(f(c))))
| ~ r(f(c),f(f(f(c)))) ),
inference(instantiation,[status(thm)],[c_1193]) ).
tcf(c_3207,plain,
( ( c = f(f(f(c))) )
| ( f(c) = c )
| ( f(c) = f(f(f(c))) )
| ~ r(f(c),c)
| ~ r(c,f(f(f(c))))
| ~ r(f(c),f(f(f(c)))) ),
inference(instantiation,[status(thm)],[c_3206]) ).
tcf(c_3481,plain,
( r(f(f(f(f(c)))),f(f(f(f(f(c))))))
| r(f(f(f(f(c)))),f(f(f(f(f(f(c)))))))
| r(f(f(f(f(f(c))))),f(f(f(f(f(f(c)))))))
| ( f(f(f(f(c)))) = f(f(f(f(f(c))))) )
| ( f(f(f(f(c)))) = f(f(f(f(f(f(c)))))) )
| ( f(f(f(f(f(c))))) = f(f(f(f(f(f(c)))))) ) ),
inference(instantiation,[status(thm)],[c_640]) ).
tcf(c_3486,plain,
( r(f(f(f(f(c)))),f(f(f(f(f(f(c)))))))
| ~ r(f(f(f(f(f(f(c)))))),f(f(f(f(c))))) ),
inference(instantiation,[status(thm)],[c_275]) ).
tcf(c_3489,plain,
! [X0: $i] :
( r(f(f(f(f(c)))),f(X0))
| r(f(X0),f(f(f(f(f(f(c)))))))
| r(f(f(f(f(c)))),f(f(f(f(f(f(c)))))))
| ( f(X0) = f(f(f(f(f(f(c)))))) )
| ( f(f(f(f(c)))) = f(X0) )
| ( f(f(f(f(c)))) = f(f(f(f(f(f(c)))))) ) ),
inference(instantiation,[status(thm)],[c_913]) ).
tcf(c_3490,plain,
( r(f(f(f(f(c)))),f(c))
| r(f(c),f(f(f(f(f(f(c)))))))
| r(f(f(f(f(c)))),f(f(f(f(f(f(c)))))))
| ( f(c) = f(f(f(f(f(f(c)))))) )
| ( f(f(f(f(c)))) = f(c) )
| ( f(f(f(f(c)))) = f(f(f(f(f(f(c)))))) ) ),
inference(instantiation,[status(thm)],[c_3489]) ).
tcf(c_3563,plain,
! [X0: $i] :
( ( X0 = f(f(f(c))) )
| ( f(f(f(f(c)))) = X0 )
| ( f(f(f(f(c)))) = f(f(f(c))) )
| ~ r(X0,f(f(f(c))))
| ~ r(f(f(f(f(c)))),X0)
| ~ r(f(f(f(f(c)))),f(f(f(c)))) ),
inference(instantiation,[status(thm)],[c_1394]) ).
tcf(c_3564,plain,
( ( c = f(f(f(c))) )
| ( f(f(f(f(c)))) = c )
| ( f(f(f(f(c)))) = f(f(f(c))) )
| ~ r(c,f(f(f(c))))
| ~ r(f(f(f(f(c)))),c)
| ~ r(f(f(f(f(c)))),f(f(f(c)))) ),
inference(instantiation,[status(thm)],[c_3563]) ).
tcf(c_3632,plain,
( ( f(f(c)) = f(f(f(c))) )
| ( f(f(f(f(f(f(c)))))) = f(f(c)) )
| ( f(f(f(f(f(f(c)))))) = f(f(f(c))) )
| ~ r(f(f(c)),f(f(f(c))))
| ~ r(f(f(f(f(f(f(c)))))),f(f(c)))
| ~ r(f(f(f(f(f(f(c)))))),f(f(f(c)))) ),
inference(instantiation,[status(thm)],[c_1413]) ).
tcf(c_3693,plain,
( ( f(f(f(f(f(f(c)))))) = f(f(f(f(f(c))))) )
| ( f(f(f(f(f(c))))) != f(f(f(f(f(f(c)))))) )
| ( f(f(f(f(f(f(c)))))) != f(f(f(f(f(f(c)))))) ) ),
inference(instantiation,[status(thm)],[c_847]) ).
tcf(c_3778,plain,
( ( f(f(f(f(f(c))))) = f(f(f(f(f(f(c)))))) )
| ( f(f(f(f(c)))) != f(f(f(f(f(c))))) ) ),
inference(instantiation,[status(thm)],[c_1475]) ).
tcf(c_3796,plain,
( ( f(f(f(c))) = f(f(f(f(c)))) )
| ( f(f(c)) != f(f(f(c))) ) ),
inference(instantiation,[status(thm)],[c_1915]) ).
tcf(c_4324,plain,
( ( f(c) = f(f(f(f(c)))) )
| ( f(c) = f(f(f(f(f(f(c)))))) )
| ( f(f(f(f(c)))) = f(f(f(f(f(f(c)))))) )
| ~ r(f(c),f(f(f(f(c)))))
| ~ r(f(c),f(f(f(f(f(f(c)))))))
| ~ r(f(f(f(f(c)))),f(f(f(f(f(f(c))))))) ),
inference(instantiation,[status(thm)],[c_1177]) ).
tcf(c_4336,plain,
( r(f(f(f(c))),f(c))
| r(f(f(f(f(c)))),f(c))
| r(f(f(f(f(c)))),f(f(f(c))))
| ( f(f(f(c))) = f(c) )
| ( f(f(f(f(c)))) = f(c) )
| ( f(f(f(f(c)))) = f(f(f(c))) ) ),
inference(instantiation,[status(thm)],[c_633]) ).
tcf(c_4338,plain,
( r(f(f(f(c))),f(c))
| r(f(f(f(f(c)))),f(c))
| r(f(f(f(c))),f(f(f(f(c)))))
| ( f(f(f(c))) = f(c) )
| ( f(f(f(c))) = f(f(f(f(c)))) )
| ( f(f(f(f(c)))) = f(c) ) ),
inference(instantiation,[status(thm)],[c_607]) ).
tcf(c_4341,plain,
( r(f(f(c)),f(c))
| r(f(f(f(c))),f(c))
| r(f(f(c)),f(f(f(c))))
| ( f(f(c)) = f(c) )
| ( f(f(c)) = f(f(f(c))) )
| ( f(f(f(c))) = f(c) ) ),
inference(instantiation,[status(thm)],[c_533]) ).
tcf(c_4342,plain,
! [X0: $i] :
( r(X0,f(c))
| r(X0,f(f(f(c))))
| r(f(f(f(c))),f(c))
| ( X0 = f(c) )
| ( X0 = f(f(f(c))) )
| ( f(f(f(c))) = f(c) ) ),
inference(instantiation,[status(thm)],[c_468]) ).
tcf(c_4344,plain,
( r(c,f(c))
| r(c,f(f(f(c))))
| r(f(f(f(c))),f(c))
| ( c = f(c) )
| ( c = f(f(f(c))) )
| ( f(f(f(c))) = f(c) ) ),
inference(instantiation,[status(thm)],[c_4342]) ).
tcf(c_4361,plain,
( ( f(c) = f(f(f(f(f(c))))) )
| ( f(f(f(f(c)))) = f(c) )
| ( f(f(f(f(c)))) = f(f(f(f(f(c))))) )
| ~ r(f(f(f(f(c)))),f(c))
| ~ r(f(c),f(f(f(f(f(c))))))
| ~ r(f(f(f(f(c)))),f(f(f(f(f(c)))))) ),
inference(instantiation,[status(thm)],[c_1368]) ).
tcf(c_4362,plain,
( ( f(c) = f(f(f(f(f(c))))) )
| ( f(f(f(c))) = f(c) )
| ( f(f(f(c))) = f(f(f(f(f(c))))) )
| ~ r(f(f(f(c))),f(c))
| ~ r(f(c),f(f(f(f(f(c))))))
| ~ r(f(f(f(c))),f(f(f(f(f(c)))))) ),
inference(instantiation,[status(thm)],[c_1329]) ).
tcf(c_4363,plain,
( ( f(c) = f(f(f(f(c)))) )
| ( f(c) = f(f(f(f(f(c))))) )
| ( f(f(f(f(c)))) = f(f(f(f(f(c))))) )
| ~ r(f(c),f(f(f(f(c)))))
| ~ r(f(c),f(f(f(f(f(c))))))
| ~ r(f(f(f(f(c)))),f(f(f(f(f(c)))))) ),
inference(instantiation,[status(thm)],[c_1177]) ).
tcf(c_4365,plain,
( ( f(c) = f(f(c)) )
| ( f(c) = f(f(f(f(f(c))))) )
| ( f(f(c)) = f(f(f(f(f(c))))) )
| ~ r(f(c),f(f(c)))
| ~ r(f(c),f(f(f(f(f(c))))))
| ~ r(f(f(c)),f(f(f(f(f(c)))))) ),
inference(instantiation,[status(thm)],[c_1170]) ).
tcf(c_4532,plain,
! [X0: $i] :
( r(f(f(c)),X0)
| r(X0,f(f(f(f(f(c))))))
| r(f(f(c)),f(f(f(f(f(c))))))
| ( X0 = f(f(f(f(f(c))))) )
| ( f(f(c)) = X0 )
| ( f(f(c)) = f(f(f(f(f(c))))) ) ),
inference(instantiation,[status(thm)],[c_1004]) ).
tcf(c_4535,plain,
( r(f(f(c)),c)
| r(c,f(f(f(f(f(c))))))
| r(f(f(c)),f(f(f(f(f(c))))))
| ( c = f(f(f(f(f(c))))) )
| ( f(f(c)) = c )
| ( f(f(c)) = f(f(f(f(f(c))))) ) ),
inference(instantiation,[status(thm)],[c_4532]) ).
tcf(c_4663,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_4535,c_4361,c_4362,c_4363,c_4365,c_4336,c_4338,c_4341,c_4344,c_4324,c_3796,c_3778,c_3693,c_3632,c_3564,c_3490,c_3481,c_3486,c_3207,c_3205,c_3163,c_3156,c_3141,c_3075,c_3039,c_3019,c_2996,c_2973,c_2972,c_2948,c_2931,c_2876,c_2838,c_2823,c_2746,c_2727,c_2723,c_2654,c_2656,c_2659,c_2662,c_2652,c_2364,c_2305,c_2188,c_2187,c_2186,c_2178,c_2177,c_2150,c_2131,c_2129,c_2123,c_2121,c_2062,c_2037,c_1973,c_1944,c_1922,c_1778,c_1538,c_1393,c_1389,c_1380,c_1373,c_1372,c_1370,c_1369,c_1365,c_1364,c_1362,c_1350,c_1339,c_1334,c_1331,c_1330,c_1324,c_1293,c_1274,c_1271,c_1268,c_1231,c_1197,c_1178,c_1171,c_1146,c_1134,c_1126,c_1117,c_1098,c_1094,c_1090,c_1082,c_1080,c_1075,c_1072,c_1039,c_1036,c_987,c_975,c_969,c_968,c_961,c_918,c_906,c_904,c_883,c_875,c_865,c_823,c_815,c_734,c_714,c_639,c_635,c_634,c_632,c_629,c_608,c_603,c_597,c_591,c_539,c_537,c_534,c_532,c_529,c_527,c_525,c_504,c_502,c_500,c_496,c_491,c_490,c_489,c_367,c_354,c_348,c_342,c_332,c_295,c_293,c_290,c_276,c_239,c_236,c_234,c_231,c_229,c_222,c_217,c_212,c_207,c_103,c_102,c_55,c_54,c_53,c_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA119+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n017.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 12:47:59 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.42 Running first-order theorem proving
% 0.14/0.42 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.43
% 0.14/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.43
% 0.14/0.43 % Detected problem language: tptp
% 0.14/0.44 % Proving...
% 0.90/1.29 % SZS status Started for theBenchmark.p
% 0.90/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 0.90/1.29
% 0.90/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.90/1.29
% 0.90/1.29 % ------ iProver source info
% 0.90/1.29
% 0.90/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 0.90/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.90/1.29 % git: non_committed_changes: false
% 0.90/1.29
% 0.90/1.29 % ------ Parsing...
% 0.90/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.90/1.29
% 0.90/1.29 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 0.90/1.29
% 0.90/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.90/1.29
% 0.90/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.90/1.29 % ------ Proving...
% 0.90/1.29 % ------ Problem Properties
% 0.90/1.29
% 0.90/1.29 %
% 0.90/1.29 % clauses 7
% 0.90/1.29 % conjectures 0
% 0.90/1.29 % EPR 3
% 0.90/1.29 % Horn 5
% 0.90/1.29 % unary 4
% 0.90/1.29 % binary 1
% 0.90/1.29 % lits 18
% 0.90/1.29 % lits eq 10
% 0.90/1.29 % fd_pure 0
% 0.90/1.29 % fd_pseudo 0
% 0.90/1.29 % fd_cond 0
% 0.90/1.29 % fd_pseudo_cond 2
% 0.90/1.29 % AC symbols 0
% 0.90/1.29
% 0.90/1.29 % ------ Input Options Time Limit: Unbounded
% 0.90/1.29
% 0.90/1.29
% 0.90/1.29 % ------
% 0.90/1.29 % Current options:
% 0.90/1.29 % ------
% 0.90/1.29
% 0.90/1.29
% 0.90/1.29 %
% 0.90/1.29
% 0.90/1.29 % ------ Proving...
% 0.90/1.29 %
% 0.90/1.29
% 0.90/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 0.90/1.29
% 0.90/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.90/1.29
% 0.90/1.29
%------------------------------------------------------------------------------