%------------------------------------------------------------------------------
% 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 : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:23:50 PM UTC 2026
% Result : Unsatisfiable 4.06s 1.28s
% Output : CNFRefutation 4.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 296 ( 24 unt; 0 def)
% Number of atoms : 1297 ( 729 equ)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 1435 ( 434 ~;1001 |; 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 : 168 ( 0 sgn 168 !; 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,
! [X2,X0,X1] :
( ~ 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,
! [X2,X0,X1] :
( 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,plain,
f(c) != f(f(f(f(f(f(c)))))),
inference(reorient_equations,[],[f4]) ).
fof(f6,axiom,
f(f(f(f(f(f(c)))))) != f(f(c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f62ck) ).
fof(f7,plain,
f(f(c)) != f(f(f(f(f(f(c)))))),
inference(reorient_equations,[],[f6]) ).
fof(f8,axiom,
f(f(f(f(f(f(c)))))) != f(f(f(c))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f63ck) ).
fof(f9,plain,
f(f(f(c))) != f(f(f(f(f(f(c)))))),
inference(reorient_equations,[],[f8]) ).
fof(f10,axiom,
f(f(f(f(f(f(c)))))) != f(f(f(f(c)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f64ck) ).
fof(f11,plain,
f(f(f(f(c)))) != f(f(f(f(f(f(c)))))),
inference(reorient_equations,[],[f10]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] :
( r(X1,X0)
| ~ r(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_57,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,[],[f2]) ).
tcf(c_58,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,[],[f3]) ).
tcf(c_59,plain,
f(f(f(f(f(f(c)))))) != f(c),
inference(cnf_transformation,[],[f5]) ).
tcf(c_60,plain,
f(f(f(f(f(f(c)))))) != f(f(c)),
inference(cnf_transformation,[],[f7]) ).
tcf(c_61,plain,
f(f(f(f(f(f(c)))))) != f(f(f(c))),
inference(cnf_transformation,[],[f9]) ).
tcf(c_62,plain,
f(f(f(f(f(f(c)))))) != f(f(f(f(c)))),
inference(cnf_transformation,[],[f11]) ).
tcf(c_105,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_107,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_108,plain,
! [X0: $i,X1: $i] :
( ( f(X0) = f(X1) )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_109,plain,
( ( f(c) = f(c) )
| ( c != c ) ),
inference(instantiation,[status(thm)],[c_108]) ).
tcf(c_110,plain,
c = c,
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_212,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_107]) ).
tcf(c_214,plain,
( ( f(f(f(f(f(f(c)))))) = f(c) )
| ( f(f(f(f(f(c))))) != c ) ),
inference(instantiation,[status(thm)],[c_108]) ).
tcf(c_217,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_107]) ).
tcf(c_219,plain,
( ( f(f(f(f(f(f(c)))))) = f(f(c)) )
| ( f(f(f(f(f(c))))) != f(c) ) ),
inference(instantiation,[status(thm)],[c_108]) ).
tcf(c_220,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_57]) ).
tcf(c_222,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_107]) ).
tcf(c_224,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_108]) ).
tcf(c_225,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_57]) ).
tcf(c_227,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_107]) ).
tcf(c_229,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_108]) ).
tcf(c_231,plain,
! [X0: $i] :
( ( f(f(f(f(f(c))))) = c )
| ( c != X0 )
| ( f(f(f(f(f(c))))) != X0 ) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_232,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_57]) ).
tcf(c_234,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_107]) ).
tcf(c_236,plain,
( ( f(f(f(f(f(c))))) = f(c) )
| ( f(f(f(f(c)))) != c ) ),
inference(instantiation,[status(thm)],[c_108]) ).
tcf(c_237,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_57]) ).
tcf(c_238,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_237]) ).
tcf(c_239,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_107]) ).
tcf(c_241,plain,
( ( f(f(f(f(f(c))))) = f(f(c)) )
| ( f(f(f(f(c)))) != f(c) ) ),
inference(instantiation,[status(thm)],[c_108]) ).
tcf(c_242,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_57]) ).
tcf(c_243,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_242]) ).
tcf(c_246,plain,
( ( f(f(f(f(f(c))))) = f(f(f(c))) )
| ( f(f(f(f(c)))) != f(f(c)) ) ),
inference(instantiation,[status(thm)],[c_108]) ).
tcf(c_247,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_57]) ).
tcf(c_249,plain,
! [X0: $i,X1: $i] :
( ( f(c) = X1 )
| ( X1 != X0 )
| ( f(c) != X0 ) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_250,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_212]) ).
tcf(c_251,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_57]) ).
tcf(c_253,plain,
! [X0: $i,X1: $i] :
( ( f(f(c)) = X1 )
| ( X1 != X0 )
| ( f(f(c)) != X0 ) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_254,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_217]) ).
tcf(c_255,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_57]) ).
tcf(c_257,plain,
! [X0: $i,X1: $i] :
( ( f(f(f(c))) = X1 )
| ( X1 != X0 )
| ( f(f(f(c))) != X0 ) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_258,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_222]) ).
tcf(c_259,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_57]) ).
tcf(c_261,plain,
! [X0: $i,X1: $i] :
( ( f(f(f(f(c)))) = X1 )
| ( X1 != X0 )
| ( f(f(f(f(c)))) != X0 ) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_262,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_227]) ).
tcf(c_272,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_58]) ).
tcf(c_273,plain,
! [X0: $i] :
( r(f(c),X0)
| ~ r(X0,f(c)) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_275,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_58]) ).
tcf(c_276,plain,
! [X0: $i] :
( r(f(f(c)),X0)
| ~ r(X0,f(f(c))) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_278,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_58]) ).
tcf(c_281,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_58]) ).
tcf(c_282,plain,
! [X0: $i] :
( r(f(f(f(f(c)))),X0)
| ~ r(X0,f(f(f(f(c))))) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_283,plain,
( r(f(f(f(f(c)))),c)
| ~ r(c,f(f(f(f(c))))) ),
inference(instantiation,[status(thm)],[c_282]) ).
tcf(c_297,plain,
( ( f(f(f(f(c)))) = f(c) )
| ( f(f(f(c))) != c ) ),
inference(instantiation,[status(thm)],[c_108]) ).
tcf(c_300,plain,
( ( f(f(f(f(c)))) = f(f(c)) )
| ( f(f(f(c))) != f(c) ) ),
inference(instantiation,[status(thm)],[c_108]) ).
tcf(c_301,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_57]) ).
tcf(c_302,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_231]) ).
tcf(c_318,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_234]) ).
tcf(c_322,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_239]) ).
tcf(c_339,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_250]) ).
tcf(c_340,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_107]) ).
tcf(c_343,plain,
! [X0: $i] :
( ( f(c) = X0 )
| ( X0 != f(c) )
| ( f(c) != f(c) ) ),
inference(instantiation,[status(thm)],[c_249]) ).
tcf(c_348,plain,
! [X0: $i] :
( ( f(f(c)) = X0 )
| ( X0 != f(f(c)) )
| ( f(f(c)) != f(f(c)) ) ),
inference(instantiation,[status(thm)],[c_253]) ).
tcf(c_349,plain,
( ( f(f(c)) = c )
| ( c != f(f(c)) )
| ( f(f(c)) != f(f(c)) ) ),
inference(instantiation,[status(thm)],[c_348]) ).
tcf(c_354,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_257]) ).
tcf(c_355,plain,
( ( f(f(f(c))) = c )
| ( c != f(f(f(c))) )
| ( f(f(f(c))) != f(f(f(c))) ) ),
inference(instantiation,[status(thm)],[c_354]) ).
tcf(c_360,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_261]) ).
tcf(c_361,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_360]) ).
tcf(c_368,plain,
! [X0: $i] :
( ( f(f(c)) = f(X0) )
| ( f(c) != X0 ) ),
inference(instantiation,[status(thm)],[c_108]) ).
tcf(c_373,plain,
! [X0: $i] :
( ( f(f(f(c))) = f(X0) )
| ( f(f(c)) != X0 ) ),
inference(instantiation,[status(thm)],[c_108]) ).
tcf(c_374,plain,
( ( f(f(f(c))) = f(c) )
| ( f(f(c)) != c ) ),
inference(instantiation,[status(thm)],[c_373]) ).
tcf(c_396,plain,
! [X0: $i] :
( ( f(f(f(f(c)))) = f(X0) )
| ( f(f(f(c))) != X0 ) ),
inference(instantiation,[status(thm)],[c_108]) ).
tcf(c_406,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_58]) ).
tcf(c_407,plain,
! [X0: $i] :
( r(X0,f(c))
| ~ r(f(c),X0) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_418,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_58]) ).
tcf(c_419,plain,
! [X0: $i] :
( r(X0,f(f(c)))
| ~ r(f(f(c)),X0) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_475,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_58]) ).
tcf(c_479,plain,
! [X0: $i] :
( r(X0,f(f(f(f(c)))))
| ~ r(f(f(f(f(c)))),X0) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_496,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_272]) ).
tcf(c_497,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_272]) ).
tcf(c_498,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_272]) ).
tcf(c_502,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_272]) ).
tcf(c_503,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_502]) ).
tcf(c_507,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_272]) ).
tcf(c_508,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_272]) ).
tcf(c_509,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_508]) ).
tcf(c_511,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_272]) ).
tcf(c_532,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_275]) ).
tcf(c_534,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_275]) ).
tcf(c_536,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_275]) ).
tcf(c_539,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_275]) ).
tcf(c_540,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_275]) ).
tcf(c_541,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_540]) ).
tcf(c_543,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_275]) ).
tcf(c_544,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_543]) ).
tcf(c_546,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_275]) ).
tcf(c_557,plain,
f(f(f(f(f(c))))) != f(c),
inference(resolution,[status(thm)],[c_60,c_108]) ).
tcf(c_585,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_57]) ).
tcf(c_598,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_254]) ).
tcf(c_604,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_278]) ).
tcf(c_610,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_278]) ).
tcf(c_614,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_278]) ).
tcf(c_615,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_614]) ).
tcf(c_626,plain,
f(f(f(f(f(c))))) != f(f(c)),
inference(resolution,[status(thm)],[c_61,c_108]) ).
tcf(c_629,plain,
f(f(f(f(c)))) != f(c),
inference(resolution,[status(thm)],[c_626,c_108]) ).
tcf(c_636,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_281]) ).
tcf(c_639,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_281]) ).
tcf(c_640,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_281]) ).
tcf(c_641,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_640]) ).
tcf(c_642,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_281]) ).
tcf(c_646,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_281]) ).
tcf(c_647,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_281]) ).
tcf(c_664,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( X0 != X1 ) ),
inference(resolution,[status(thm)],[c_107,c_105]) ).
tcf(c_721,plain,
f(f(f(f(f(c))))) = f(f(f(f(f(c))))),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_741,plain,
f(f(f(f(f(f(c)))))) = f(f(f(f(f(f(c)))))),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_816,plain,
! [X0: $i] :
( ( f(f(f(f(f(c))))) = f(X0) )
| ( f(f(f(f(c)))) != X0 ) ),
inference(instantiation,[status(thm)],[c_108]) ).
tcf(c_822,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_318]) ).
tcf(c_830,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_322]) ).
tcf(c_854,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_340]) ).
tcf(c_872,plain,
( ( f(f(c)) = f(f(c)) )
| ( f(c) != f(c) ) ),
inference(instantiation,[status(thm)],[c_368]) ).
tcf(c_882,plain,
f(f(f(c))) = f(f(f(c))),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_890,plain,
f(f(f(f(c)))) = f(f(f(f(c)))),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_897,plain,
! [X0: $i] :
( ( f(f(f(c))) = f(f(X0)) )
| ( f(f(c)) != f(X0) ) ),
inference(instantiation,[status(thm)],[c_373]) ).
tcf(c_910,plain,
! [X0: $i] :
( ( f(f(f(f(c)))) = f(f(X0)) )
| ( f(f(f(c))) != f(X0) ) ),
inference(instantiation,[status(thm)],[c_396]) ).
tcf(c_911,plain,
( r(f(f(c)),f(c))
| ~ r(f(c),f(f(c))) ),
inference(instantiation,[status(thm)],[c_407]) ).
tcf(c_913,plain,
( r(f(c),f(f(c)))
| ~ r(f(f(c)),f(c)) ),
inference(instantiation,[status(thm)],[c_273]) ).
tcf(c_920,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_281]) ).
tcf(c_921,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_278]) ).
tcf(c_925,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_921]) ).
tcf(c_952,plain,
! [X0: $i,X1: $i] :
( ( f(X1) = f(X0) )
| ( X0 != X1 ) ),
inference(resolution,[status(thm)],[c_664,c_108]) ).
tcf(c_968,plain,
( r(f(f(f(f(c)))),f(f(c)))
| ~ r(f(f(c)),f(f(f(f(c))))) ),
inference(instantiation,[status(thm)],[c_282]) ).
tcf(c_969,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_281]) ).
tcf(c_970,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_278]) ).
tcf(c_975,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_970]) ).
tcf(c_976,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_969]) ).
tcf(c_979,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_57]) ).
tcf(c_981,plain,
! [X0: $i,X1: $i] :
( ( X1 = f(c) )
| ( X1 != X0 )
| ( f(c) != X0 ) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_982,plain,
( ( c = f(c) )
| ( c != c )
| ( f(c) != c ) ),
inference(instantiation,[status(thm)],[c_981]) ).
tcf(c_983,plain,
! [X0: $i] :
( ( f(c) = f(X0) )
| ( f(c) != f(c) )
| ( f(X0) != f(c) ) ),
inference(instantiation,[status(thm)],[c_343]) ).
tcf(c_994,plain,
f(c) != f(f(f(f(c)))),
inference(resolution,[status(thm)],[c_952,c_626]) ).
tcf(c_1003,plain,
! [X0: $i] :
( ( f(f(c)) = f(f(X0)) )
| ( f(c) != f(X0) ) ),
inference(instantiation,[status(thm)],[c_368]) ).
tcf(c_1011,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_275]) ).
tcf(c_1012,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_272]) ).
tcf(c_1015,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_57]) ).
tcf(c_1043,plain,
( r(f(f(c)),f(f(f(f(c)))))
| ~ r(f(f(f(f(c)))),f(f(c))) ),
inference(instantiation,[status(thm)],[c_479]) ).
tcf(c_1046,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_276]) ).
tcf(c_1078,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_301]) ).
tcf(c_1079,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_1078]) ).
tcf(c_1081,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_301]) ).
tcf(c_1082,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_1081]) ).
tcf(c_1086,plain,
! [X0: $i] :
( r(f(f(f(f(f(c))))),X0)
| ~ r(X0,f(f(f(f(f(c)))))) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_1087,plain,
( r(f(f(f(f(f(c))))),c)
| ~ r(c,f(f(f(f(f(c)))))) ),
inference(instantiation,[status(thm)],[c_1086]) ).
tcf(c_1088,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_406]) ).
tcf(c_1089,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_1088]) ).
tcf(c_1097,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_419]) ).
tcf(c_1100,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_251]) ).
tcf(c_1101,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_1100]) ).
tcf(c_1105,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_220]) ).
tcf(c_1124,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_225]) ).
tcf(c_1133,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_508]) ).
tcf(c_1141,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_232]) ).
tcf(c_1153,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_242]) ).
tcf(c_1177,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_247]) ).
tcf(c_1178,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_1177]) ).
tcf(c_1184,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_247]) ).
tcf(c_1185,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_1184]) ).
tcf(c_1200,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_247]) ).
tcf(c_1204,plain,
f(f(f(c))) != f(f(f(f(f(c))))),
inference(resolution,[status(thm)],[c_62,c_952]) ).
tcf(c_1237,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_354]) ).
tcf(c_1238,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_1237]) ).
tcf(c_1250,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_360]) ).
tcf(c_1274,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_58,c_557]) ).
tcf(c_1275,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_1274]) ).
tcf(c_1277,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_58,c_626]) ).
tcf(c_1278,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_1277]) ).
tcf(c_1280,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_58,c_629]) ).
tcf(c_1281,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_1280]) ).
tcf(c_1299,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_58,c_629]) ).
tcf(c_1300,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_1299]) ).
tcf(c_1330,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_255]) ).
tcf(c_1336,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_255]) ).
tcf(c_1337,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_1336]) ).
tcf(c_1338,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_255]) ).
tcf(c_1341,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_255]) ).
tcf(c_1345,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_255]) ).
tcf(c_1346,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_1345]) ).
tcf(c_1357,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_255]) ).
tcf(c_1360,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_255]) ).
tcf(c_1370,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_259]) ).
tcf(c_1373,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_259]) ).
tcf(c_1374,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_259]) ).
tcf(c_1375,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_259]) ).
tcf(c_1376,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_1375]) ).
tcf(c_1377,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_259]) ).
tcf(c_1378,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_259]) ).
tcf(c_1379,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_1378]) ).
tcf(c_1380,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_259]) ).
tcf(c_1387,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_259]) ).
tcf(c_1396,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_259]) ).
tcf(c_1399,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_259]) ).
tcf(c_1400,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_1399]) ).
tcf(c_1401,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_259]) ).
tcf(c_1420,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_585]) ).
tcf(c_1482,plain,
! [X0: $i] :
( ( f(f(f(f(f(c))))) = f(f(X0)) )
| ( f(f(f(f(c)))) != f(X0) ) ),
inference(instantiation,[status(thm)],[c_816]) ).
tcf(c_1544,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_251]) ).
tcf(c_1545,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_1544]) ).
tcf(c_1785,plain,
( ( f(c) = f(f(c)) )
| ( f(c) != f(c) )
| ( f(f(c)) != f(c) ) ),
inference(instantiation,[status(thm)],[c_983]) ).
tcf(c_1922,plain,
! [X0: $i] :
( ( f(f(f(c))) = f(f(f(X0))) )
| ( f(f(c)) != f(f(X0)) ) ),
inference(instantiation,[status(thm)],[c_897]) ).
tcf(c_1929,plain,
( ( f(f(c)) = f(f(f(c))) )
| ( f(c) != f(f(c)) ) ),
inference(instantiation,[status(thm)],[c_1003]) ).
tcf(c_1950,plain,
! [X0: $i] :
( ( f(X0) = f(f(c)) )
| ( X0 != f(c) ) ),
inference(instantiation,[status(thm)],[c_108]) ).
tcf(c_1951,plain,
( ( f(c) = f(f(c)) )
| ( c != f(c) ) ),
inference(instantiation,[status(thm)],[c_1950]) ).
tcf(c_1980,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_1250]) ).
tcf(c_2044,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_258]) ).
tcf(c_2069,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_262]) ).
tcf(c_2128,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_1237]) ).
tcf(c_2130,plain,
( r(f(f(f(f(f(c))))),f(c))
| ~ r(f(c),f(f(f(f(f(c)))))) ),
inference(instantiation,[status(thm)],[c_1086]) ).
tcf(c_2140,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_301]) ).
tcf(c_2141,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_301]) ).
tcf(c_2156,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_301]) ).
tcf(c_2157,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_2156]) ).
tcf(c_2184,plain,
( r(f(f(f(c))),f(c))
| ~ r(f(c),f(f(f(c)))) ),
inference(instantiation,[status(thm)],[c_407]) ).
tcf(c_2185,plain,
( r(f(f(f(f(c)))),f(c))
| ~ r(f(c),f(f(f(f(c))))) ),
inference(instantiation,[status(thm)],[c_407]) ).
tcf(c_2193,plain,
( r(f(c),f(f(f(c))))
| ~ r(f(f(f(c))),f(c)) ),
inference(instantiation,[status(thm)],[c_273]) ).
tcf(c_2194,plain,
( r(f(c),f(f(f(f(c)))))
| ~ r(f(f(f(f(c)))),f(c)) ),
inference(instantiation,[status(thm)],[c_273]) ).
tcf(c_2195,plain,
( r(f(c),f(f(f(f(f(c))))))
| ~ r(f(f(f(f(f(c))))),f(c)) ),
inference(instantiation,[status(thm)],[c_273]) ).
tcf(c_2312,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_910]) ).
tcf(c_2370,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_920]) ).
tcf(c_2371,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_2370]) ).
tcf(c_2658,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_406]) ).
tcf(c_2660,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_640]) ).
tcf(c_2662,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_614]) ).
tcf(c_2665,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_540]) ).
tcf(c_2666,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_475]) ).
tcf(c_2668,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_2666]) ).
tcf(c_2728,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_979]) ).
tcf(c_2729,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_2728]) ).
tcf(c_2732,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_979]) ).
tcf(c_2733,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_2732]) ).
tcf(c_2751,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_1011]) ).
tcf(c_2752,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_2751]) ).
tcf(c_2834,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_1012]) ).
tcf(c_2835,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_2834]) ).
tcf(c_2850,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_1078]) ).
tcf(c_2882,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_262]) ).
tcf(c_2936,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_1015]) ).
tcf(c_2937,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_2936]) ).
tcf(c_2953,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_1015]) ).
tcf(c_2954,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_2953]) ).
tcf(c_2978,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_1100]) ).
tcf(c_2979,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_1100]) ).
tcf(c_3001,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_418]) ).
tcf(c_3002,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_3001]) ).
tcf(c_3025,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_1177]) ).
tcf(c_3045,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_1184]) ).
tcf(c_3081,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_1336]) ).
tcf(c_3147,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_1360]) ).
tcf(c_3162,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_1375]) ).
tcf(c_3169,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_1378]) ).
tcf(c_3210,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_1200]) ).
tcf(c_3211,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_3210]) ).
tcf(c_3212,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_1200]) ).
tcf(c_3213,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_3212]) ).
tcf(c_3487,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_647]) ).
tcf(c_3492,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_282]) ).
tcf(c_3495,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_920]) ).
tcf(c_3496,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_3495]) ).
tcf(c_3569,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_1401]) ).
tcf(c_3570,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_3569]) ).
tcf(c_3638,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_1420]) ).
tcf(c_3699,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_854]) ).
tcf(c_3784,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_1482]) ).
tcf(c_3802,plain,
( ( f(f(f(c))) = f(f(f(f(c)))) )
| ( f(f(c)) != f(f(f(c))) ) ),
inference(instantiation,[status(thm)],[c_1922]) ).
tcf(c_4330,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_1184]) ).
tcf(c_4342,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_640]) ).
tcf(c_4344,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_614]) ).
tcf(c_4347,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_540]) ).
tcf(c_4348,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_475]) ).
tcf(c_4350,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_4348]) ).
tcf(c_4367,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_1375]) ).
tcf(c_4368,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_1336]) ).
tcf(c_4369,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_1184]) ).
tcf(c_4371,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_1177]) ).
tcf(c_4538,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_1011]) ).
tcf(c_4541,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_4538]) ).
tcf(c_4669,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_4541,c_4367,c_4368,c_4369,c_4371,c_4342,c_4344,c_4347,c_4350,c_4330,c_3802,c_3784,c_3699,c_3638,c_3570,c_3496,c_3487,c_3492,c_3213,c_3211,c_3169,c_3162,c_3147,c_3081,c_3045,c_3025,c_3002,c_2979,c_2978,c_2954,c_2937,c_2882,c_2850,c_2835,c_2752,c_2733,c_2729,c_2660,c_2662,c_2665,c_2668,c_2658,c_2371,c_2312,c_2195,c_2194,c_2193,c_2185,c_2184,c_2157,c_2141,c_2140,c_2130,c_2128,c_2069,c_2044,c_1980,c_1951,c_1929,c_1785,c_1545,c_1400,c_1396,c_1387,c_1380,c_1379,c_1377,c_1376,c_1374,c_1373,c_1370,c_1357,c_1346,c_1341,c_1338,c_1337,c_1330,c_1300,c_1281,c_1278,c_1275,c_1238,c_1204,c_1185,c_1178,c_1153,c_1141,c_1133,c_1124,c_1105,c_1101,c_1097,c_1089,c_1087,c_1082,c_1079,c_1046,c_1043,c_994,c_982,c_976,c_975,c_968,c_925,c_913,c_911,c_890,c_882,c_872,c_830,c_822,c_741,c_721,c_646,c_642,c_641,c_639,c_636,c_615,c_610,c_604,c_598,c_546,c_544,c_541,c_539,c_536,c_534,c_532,c_511,c_509,c_507,c_503,c_498,c_497,c_496,c_374,c_361,c_355,c_349,c_339,c_302,c_300,c_297,c_283,c_246,c_243,c_241,c_238,c_236,c_229,c_224,c_219,c_214,c_110,c_109,c_62,c_61,c_60,c_59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % 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
% 0.10/0.38 % Computer : n018.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Wed Sep 23 12:54:47 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 4.06/1.28 % SZS status Started for theBenchmark.p
% 4.06/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 4.06/1.28
% 4.06/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.06/1.28
% 4.06/1.28 % ------ iProver source info
% 4.06/1.28
% 4.06/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 4.06/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.06/1.28 % git: non_committed_changes: false
% 4.06/1.28
% 4.06/1.28 % ------ Parsing...% successful
% 4.06/1.28
% 4.06/1.28
% 4.06/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.06/1.28
% 4.06/1.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 4.06/1.28
% 4.06/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.06/1.28
% 4.06/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.06/1.28 % ------ Proving...
% 4.06/1.28 % ------ Problem Properties
% 4.06/1.28
% 4.06/1.28 %
% 4.06/1.28 % clauses 7
% 4.06/1.28 % conjectures 0
% 4.06/1.28 % EPR 3
% 4.06/1.28 % Horn 5
% 4.06/1.28 % unary 4
% 4.06/1.28 % binary 1
% 4.06/1.28 % lits 18
% 4.06/1.28 % lits eq 10
% 4.06/1.28 % fd_pure 0
% 4.06/1.28 % fd_pseudo 0
% 4.06/1.28 % fd_cond 0
% 4.06/1.28 % fd_pseudo_cond 2
% 4.06/1.28 % AC symbols 0
% 4.06/1.28
% 4.06/1.28 % ------ Input Options Time Limit: Unbounded
% 4.06/1.28
% 4.06/1.28
% 4.06/1.28 % ------
% 4.06/1.28 % Current options:
% 4.06/1.28 % ------
% 4.06/1.28
% 4.06/1.28
% 4.06/1.28 %
% 4.06/1.28
% 4.06/1.28 % ------ Proving...
% 4.06/1.28 %
% 4.06/1.28
% 4.06/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 4.06/1.28
% 4.06/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.06/1.29
% 4.06/1.29
%------------------------------------------------------------------------------