%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN313-1.001.002 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:39:40 PM UTC 2026
% Result : Unsatisfiable 3.73s 1.31s
% Output : CNFRefutation 3.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 215 ( 1 unt; 0 def)
% Number of atoms : 502 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 569 ( 282 ~; 287 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 29 ( 9 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-1 aty)
% Number of variables : 122 ( 0 sgn 122 !; 0 ?; 116 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X2,X0,X1] :
( ~ p(X0,f1(X1),X2)
| ~ p(X0,f0(X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f2,negated_conjecture,
! [X2,X0,X1] :
( p(h2(X2),X1,j2(X1))
| p(h1(X0),X2,j1(X1))
| p(h0,X0,j0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
tcf(c_51,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ p(X0,f1(X1),X2)
| ~ p(X0,f0(X0),X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_52,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p(h0,X0,j0(X2))
| p(h2(X1),X2,j2(X2))
| p(h1(X0),X1,j1(X2)) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_65,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p(h0,X0,j0(X2))
| p(h2(X1),X2,j2(X2))
| p(h1(X0),X1,j1(X2)) ),
inference(demodulation,[status(thm)],[c_52]) ).
tcf(c_66,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ p(X0,f1(X1),X2)
| ~ p(X0,f0(X0),X1) ),
inference(demodulation,[status(thm)],[c_51]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] :
( p(h0,X0,j0(X1))
| p(h1(X0),f0(h1(X0)),j1(X1))
| p(h2(f0(h1(X0))),X1,j2(X1)) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ p(h1(X0),f1(j1(X1)),X2)
| ~ p(h1(X0),f0(h1(X0)),j1(X1)) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ p(h1(X0),f1(j1(X1)),j1(X2))
| ~ p(h1(X0),f0(h1(X0)),j1(X1)) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i] :
( p(h0,X2,j0(X1))
| p(h1(X2),f1(j1(X0)),j1(X1))
| p(h2(f1(j1(X0))),X1,j2(X1)) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_75,plain,
! [X0: $i] :
( p(h0,f0(h0),j0(X0))
| p(h2(f0(h1(f0(h0)))),X0,j2(X0))
| p(h1(f0(h0)),f0(h1(f0(h0))),j1(X0)) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i] :
( ~ p(h0,f0(h0),j0(X0))
| ~ p(h0,f1(j0(X0)),X1) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i] :
( ~ p(h1(f0(h0)),f1(j1(X0)),j1(X1))
| ~ p(h1(f0(h0)),f0(h1(f0(h0))),j1(X0)) ),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i] :
( p(h0,f0(h0),j0(X1))
| p(h2(f1(j1(X0))),X1,j2(X1))
| p(h1(f0(h0)),f1(j1(X0)),j1(X1)) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_123,plain,
! [X0: $i] :
( p(h0,f0(h0),j0(f0(h2(f1(j1(X0))))))
| p(h1(f0(h0)),f1(j1(X0)),j1(f0(h2(f1(j1(X0))))))
| p(h2(f1(j1(X0))),f0(h2(f1(j1(X0)))),j2(f0(h2(f1(j1(X0)))))) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_124,plain,
! [X0: $i,X1: $i] :
( ~ p(h2(f1(j1(X0))),f1(j2(f0(h2(f1(j1(X0)))))),X1)
| ~ p(h2(f1(j1(X0))),f0(h2(f1(j1(X0)))),j2(f0(h2(f1(j1(X0)))))) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_128,plain,
! [X0: $i,X1: $i] :
( ~ p(h0,f0(h0),j0(f0(h2(f1(j1(X0))))))
| ~ p(h0,f1(j0(f0(h2(f1(j1(X0)))))),X1) ),
inference(instantiation,[status(thm)],[c_76]) ).
tcf(c_130,plain,
! [X0: $i] :
( ~ p(h2(f1(j1(X0))),f0(h2(f1(j1(X0)))),j2(f0(h2(f1(j1(X0))))))
| ~ p(h2(f1(j1(X0))),f1(j2(f0(h2(f1(j1(X0)))))),j2(f1(j2(f0(h2(f1(j1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_131,plain,
! [X0: $i] :
( p(h0,f0(h0),j0(f1(j2(f0(h2(f1(j1(X0))))))))
| p(h1(f0(h0)),f1(j1(X0)),j1(f1(j2(f0(h2(f1(j1(X0))))))))
| p(h2(f1(j1(X0))),f1(j2(f0(h2(f1(j1(X0)))))),j2(f1(j2(f0(h2(f1(j1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_137,plain,
! [X0: $i] :
( ~ p(h1(f0(h0)),f0(h1(f0(h0))),j1(X0))
| ~ p(h1(f0(h0)),f1(j1(X0)),j1(f0(h2(f1(j1(X0)))))) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_142,plain,
( p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))
| p(h1(f0(h0)),f0(h1(f0(h0))),j1(f0(h2(f0(h1(f0(h0)))))))
| p(h2(f0(h1(f0(h0)))),f0(h2(f0(h1(f0(h0))))),j2(f0(h2(f0(h1(f0(h0))))))) ),
inference(instantiation,[status(thm)],[c_75]) ).
tcf(c_143,plain,
! [X0: $i] :
( ~ p(h2(f0(h1(f0(h0)))),f1(j2(f0(h2(f0(h1(f0(h0))))))),X0)
| ~ p(h2(f0(h1(f0(h0)))),f0(h2(f0(h1(f0(h0))))),j2(f0(h2(f0(h1(f0(h0))))))) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_146,plain,
! [X0: $i] :
( ~ p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))
| ~ p(h0,f1(j0(f0(h2(f0(h1(f0(h0))))))),X0) ),
inference(instantiation,[status(thm)],[c_76]) ).
tcf(c_148,plain,
( ~ p(h2(f0(h1(f0(h0)))),f0(h2(f0(h1(f0(h0))))),j2(f0(h2(f0(h1(f0(h0)))))))
| ~ p(h2(f0(h1(f0(h0)))),f1(j2(f0(h2(f0(h1(f0(h0))))))),j2(f1(j2(f0(h2(f0(h1(f0(h0))))))))) ),
inference(instantiation,[status(thm)],[c_143]) ).
tcf(c_149,plain,
( p(h0,f0(h0),j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))
| p(h1(f0(h0)),f0(h1(f0(h0))),j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))
| p(h2(f0(h1(f0(h0)))),f1(j2(f0(h2(f0(h1(f0(h0))))))),j2(f1(j2(f0(h2(f0(h1(f0(h0))))))))) ),
inference(instantiation,[status(thm)],[c_75]) ).
tcf(c_179,plain,
( ~ p(h1(f0(h0)),f0(h1(f0(h0))),j1(f0(h2(f0(h1(f0(h0)))))))
| ~ p(h1(f0(h0)),f1(j1(f0(h2(f0(h1(f0(h0))))))),j1(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))) ),
inference(instantiation,[status(thm)],[c_137]) ).
tcf(c_181,plain,
( p(h0,f0(h0),j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))
| p(h1(f0(h0)),f1(j1(f0(h2(f0(h1(f0(h0))))))),j1(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))
| p(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))),f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))),j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_184,plain,
! [X0: $i] :
( ~ p(h0,f0(h0),j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))
| ~ p(h0,f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))),X0) ),
inference(instantiation,[status(thm)],[c_128]) ).
tcf(c_193,plain,
! [X0: $i] :
( ~ p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))
| ~ p(h0,f1(j0(f0(h2(f0(h1(f0(h0))))))),j0(X0)) ),
inference(instantiation,[status(thm)],[c_146]) ).
tcf(c_194,plain,
! [X0: $i] :
( p(h0,f1(j0(f0(h2(f0(h1(f0(h0))))))),j0(X0))
| p(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))),X0,j2(X0))
| p(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))),f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))),j1(X0)) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_227,plain,
( ~ p(h1(f0(h0)),f0(h1(f0(h0))),j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))
| ~ p(h1(f0(h0)),f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j1(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))) ),
inference(instantiation,[status(thm)],[c_137]) ).
tcf(c_230,plain,
( p(h0,f0(h0),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))
| p(h1(f0(h0)),f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j1(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))
| p(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))),f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))),j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_233,plain,
! [X0: $i] :
( ~ p(h0,f0(h0),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))
| ~ p(h0,f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))),X0) ),
inference(instantiation,[status(thm)],[c_128]) ).
tcf(c_241,plain,
! [X0: $i] :
( ~ p(h0,f0(h0),j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))
| ~ p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),X0) ),
inference(instantiation,[status(thm)],[c_76]) ).
tcf(c_318,plain,
! [X0: $i] :
( ~ p(h0,f0(h0),j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))
| ~ p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j0(X0)) ),
inference(instantiation,[status(thm)],[c_241]) ).
tcf(c_319,plain,
! [X0: $i] :
( p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j0(X0))
| p(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))),X0,j2(X0))
| p(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))),f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))),j1(X0)) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_333,plain,
( ~ p(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))),f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))),j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))
| ~ p(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))),f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))),j2(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))) ),
inference(instantiation,[status(thm)],[c_130]) ).
tcf(c_336,plain,
( p(h0,f0(h0),j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))
| p(h1(f0(h0)),f1(j1(f0(h2(f0(h1(f0(h0))))))),j1(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))
| p(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))),f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))),j2(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))) ),
inference(instantiation,[status(thm)],[c_131]) ).
tcf(c_338,plain,
! [X0: $i] :
( ~ p(h0,f0(h0),j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))
| ~ p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))),X0) ),
inference(instantiation,[status(thm)],[c_76]) ).
tcf(c_347,plain,
! [X0: $i] :
( ~ p(h0,f0(h0),j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))
| ~ p(h0,f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))),j0(X0)) ),
inference(instantiation,[status(thm)],[c_184]) ).
tcf(c_348,plain,
! [X0: $i] :
( p(h0,f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))),j0(X0))
| p(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))),X0,j2(X0))
| p(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))),f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))),j1(X0)) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_360,plain,
! [X0: $i,X1: $i] :
( p(h2(f1(j1(X0))),X1,j2(X1))
| p(h0,f1(j0(f0(h2(f0(h1(f0(h0))))))),j0(X1))
| p(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))),f1(j1(X0)),j1(X1)) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_363,plain,
! [X0: $i,X1: $i] :
( ~ p(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))),f1(j1(X0)),j1(X1))
| ~ p(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))),f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))),j1(X0)) ),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_418,plain,
! [X0: $i] :
( p(h0,f1(j0(f0(h2(f0(h1(f0(h0))))))),j0(f0(h2(f1(j1(X0))))))
| p(h2(f1(j1(X0))),f0(h2(f1(j1(X0)))),j2(f0(h2(f1(j1(X0))))))
| p(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))),f1(j1(X0)),j1(f0(h2(f1(j1(X0)))))) ),
inference(instantiation,[status(thm)],[c_360]) ).
tcf(c_424,plain,
! [X0: $i] :
( ~ p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))
| ~ p(h0,f1(j0(f0(h2(f0(h1(f0(h0))))))),j0(f0(h2(f1(j1(X0)))))) ),
inference(instantiation,[status(thm)],[c_193]) ).
tcf(c_430,plain,
! [X0: $i] :
( p(h0,f1(j0(f0(h2(f0(h1(f0(h0))))))),j0(f1(j2(f0(h2(f1(j1(X0))))))))
| p(h2(f1(j1(X0))),f1(j2(f0(h2(f1(j1(X0)))))),j2(f1(j2(f0(h2(f1(j1(X0))))))))
| p(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))),f1(j1(X0)),j1(f1(j2(f0(h2(f1(j1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_360]) ).
tcf(c_435,plain,
! [X0: $i] :
( ~ p(h1(f0(h0)),f0(h1(f0(h0))),j1(X0))
| ~ p(h1(f0(h0)),f1(j1(X0)),j1(f1(j2(f0(h2(f1(j1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_439,plain,
! [X0: $i] :
( ~ p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))
| ~ p(h0,f1(j0(f0(h2(f0(h1(f0(h0))))))),j0(f1(j2(f0(h2(f1(j1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_193]) ).
tcf(c_450,plain,
! [X0: $i] :
( ~ p(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))),f1(j1(X0)),j1(f0(h2(f1(j1(X0))))))
| ~ p(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))),f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))),j1(X0)) ),
inference(instantiation,[status(thm)],[c_363]) ).
tcf(c_462,plain,
( p(h0,f1(j0(f0(h2(f0(h1(f0(h0))))))),j0(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))))))
| p(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))),f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))),j1(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))))))
| p(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))),f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))),j2(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))) ),
inference(instantiation,[status(thm)],[c_194]) ).
tcf(c_463,plain,
! [X0: $i] :
( ~ p(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))),f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))),X0)
| ~ p(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))),f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))),j2(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_487,plain,
( ~ p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))
| ~ p(h0,f1(j0(f0(h2(f0(h1(f0(h0))))))),j0(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))) ),
inference(instantiation,[status(thm)],[c_193]) ).
tcf(c_488,plain,
( ~ p(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))),f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))),j2(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))))))
| ~ p(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))),f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))),j2(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))))) ),
inference(instantiation,[status(thm)],[c_463]) ).
tcf(c_489,plain,
( p(h0,f1(j0(f0(h2(f0(h1(f0(h0))))))),j0(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))))))))
| p(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))),f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))),j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))))))))
| p(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))),f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))),j2(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))))) ),
inference(instantiation,[status(thm)],[c_194]) ).
tcf(c_496,plain,
( ~ p(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))),f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))),j1(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))))))
| ~ p(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))),f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))),j1(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_450]) ).
tcf(c_499,plain,
( p(h0,f1(j0(f0(h2(f0(h1(f0(h0))))))),j0(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))))))))))
| p(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))),f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))),j1(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))))))))))
| p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))))))),f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))))),j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_418]) ).
tcf(c_517,plain,
( ~ p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))
| ~ p(h0,f1(j0(f0(h2(f0(h1(f0(h0))))))),j0(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_424]) ).
tcf(c_524,plain,
( ~ p(h1(f0(h0)),f0(h1(f0(h0))),j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))
| ~ p(h1(f0(h0)),f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j1(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))) ),
inference(instantiation,[status(thm)],[c_435]) ).
tcf(c_529,plain,
( ~ p(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))),f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))),j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))
| ~ p(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))),f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))),j2(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))) ),
inference(instantiation,[status(thm)],[c_130]) ).
tcf(c_531,plain,
( p(h0,f0(h0),j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))
| p(h1(f0(h0)),f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j1(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))
| p(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))),f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))),j2(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))) ),
inference(instantiation,[status(thm)],[c_131]) ).
tcf(c_572,plain,
! [X0: $i] :
( ~ p(h0,f0(h0),j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))
| ~ p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),X0) ),
inference(instantiation,[status(thm)],[c_76]) ).
tcf(c_585,plain,
! [X0: $i] :
( ~ p(h0,f0(h0),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))
| ~ p(h0,f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))),j0(X0)) ),
inference(instantiation,[status(thm)],[c_233]) ).
tcf(c_586,plain,
! [X0: $i] :
( p(h0,f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))),j0(X0))
| p(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))),X0,j2(X0))
| p(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))),f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j1(X0)) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_601,plain,
! [X0: $i,X1: $i] :
( p(h2(f1(j1(X0))),X1,j2(X1))
| p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j0(X1))
| p(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))),f1(j1(X0)),j1(X1)) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_604,plain,
! [X0: $i,X1: $i] :
( ~ p(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))),f1(j1(X0)),j1(X1))
| ~ p(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))),f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))),j1(X0)) ),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_609,plain,
! [X0: $i] :
( p(h2(f1(j1(X0))),f0(h2(f1(j1(X0)))),j2(f0(h2(f1(j1(X0))))))
| p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j0(f0(h2(f1(j1(X0))))))
| p(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))),f1(j1(X0)),j1(f0(h2(f1(j1(X0)))))) ),
inference(instantiation,[status(thm)],[c_601]) ).
tcf(c_627,plain,
! [X0: $i] :
( ~ p(h0,f0(h0),j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))
| ~ p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j0(f0(h2(f1(j1(X0)))))) ),
inference(instantiation,[status(thm)],[c_318]) ).
tcf(c_651,plain,
! [X0: $i] :
( p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j0(f1(j2(f0(h2(f1(j1(X0))))))))
| p(h2(f1(j1(X0))),f1(j2(f0(h2(f1(j1(X0)))))),j2(f1(j2(f0(h2(f1(j1(X0))))))))
| p(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))),f1(j1(X0)),j1(f1(j2(f0(h2(f1(j1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_601]) ).
tcf(c_658,plain,
! [X0: $i] :
( ~ p(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))),f1(j1(X0)),j1(f1(j2(f0(h2(f1(j1(X0))))))))
| ~ p(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))),f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))),j1(X0)) ),
inference(instantiation,[status(thm)],[c_363]) ).
tcf(c_666,plain,
! [X0: $i] :
( ~ p(h0,f0(h0),j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))
| ~ p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j0(f1(j2(f0(h2(f1(j1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_318]) ).
tcf(c_735,plain,
! [X0: $i] :
( ~ p(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))),f1(j1(X0)),j1(f0(h2(f1(j1(X0))))))
| ~ p(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))),f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))),j1(X0)) ),
inference(instantiation,[status(thm)],[c_604]) ).
tcf(c_759,plain,
( p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j0(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))
| p(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))),f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))),j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))
| p(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))),f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))),j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))) ),
inference(instantiation,[status(thm)],[c_319]) ).
tcf(c_760,plain,
! [X0: $i] :
( ~ p(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))),f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),X0)
| ~ p(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))),f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))),j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_855,plain,
( ~ p(h0,f0(h0),j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))
| ~ p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j0(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))) ),
inference(instantiation,[status(thm)],[c_318]) ).
tcf(c_856,plain,
( ~ p(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))),f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))),j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))
| ~ p(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))),f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j2(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_760]) ).
tcf(c_857,plain,
( p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j0(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))
| p(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))),f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))),j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))
| p(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))),f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j2(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_319]) ).
tcf(c_864,plain,
( ~ p(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))),f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))),j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))
| ~ p(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))),f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j1(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_735]) ).
tcf(c_867,plain,
( p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j0(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))
| p(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))),f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j1(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))
| p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))),f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))),j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_609]) ).
tcf(c_870,plain,
( ~ p(h0,f0(h0),j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))
| ~ p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j0(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_627]) ).
tcf(c_877,plain,
( ~ p(h1(f0(h0)),f0(h1(f0(h0))),j1(f0(h2(f0(h1(f0(h0)))))))
| ~ p(h1(f0(h0)),f1(j1(f0(h2(f0(h1(f0(h0))))))),j1(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))) ),
inference(instantiation,[status(thm)],[c_435]) ).
tcf(c_885,plain,
! [X0: $i,X1: $i] :
( p(h2(f1(j1(X0))),X1,j2(X1))
| p(h0,f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))),j0(X1))
| p(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))),f1(j1(X0)),j1(X1)) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_888,plain,
! [X0: $i,X1: $i] :
( ~ p(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))),f1(j1(X0)),j1(X1))
| ~ p(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))),f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))),j1(X0)) ),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_895,plain,
! [X0: $i] :
( p(h2(f1(j1(X0))),f0(h2(f1(j1(X0)))),j2(f0(h2(f1(j1(X0))))))
| p(h0,f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))),j0(f0(h2(f1(j1(X0))))))
| p(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))),f1(j1(X0)),j1(f0(h2(f1(j1(X0)))))) ),
inference(instantiation,[status(thm)],[c_885]) ).
tcf(c_903,plain,
! [X0: $i] :
( ~ p(h0,f0(h0),j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))
| ~ p(h0,f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))),j0(f0(h2(f1(j1(X0)))))) ),
inference(instantiation,[status(thm)],[c_347]) ).
tcf(c_941,plain,
! [X0: $i] :
( p(h2(f1(j1(X0))),f1(j2(f0(h2(f1(j1(X0)))))),j2(f1(j2(f0(h2(f1(j1(X0))))))))
| p(h0,f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))),j0(f1(j2(f0(h2(f1(j1(X0))))))))
| p(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))),f1(j1(X0)),j1(f1(j2(f0(h2(f1(j1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_885]) ).
tcf(c_949,plain,
! [X0: $i] :
( ~ p(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))),f1(j1(X0)),j1(f1(j2(f0(h2(f1(j1(X0))))))))
| ~ p(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))),f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))),j1(X0)) ),
inference(instantiation,[status(thm)],[c_604]) ).
tcf(c_957,plain,
! [X0: $i] :
( ~ p(h0,f0(h0),j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))
| ~ p(h0,f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))),j0(f1(j2(f0(h2(f1(j1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_347]) ).
tcf(c_973,plain,
! [X0: $i] :
( ~ p(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))),f1(j1(X0)),j1(f0(h2(f1(j1(X0))))))
| ~ p(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))),f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))),j1(X0)) ),
inference(instantiation,[status(thm)],[c_888]) ).
tcf(c_1047,plain,
! [X0: $i] :
( ~ p(h0,f0(h0),j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))
| ~ p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))),j0(X0)) ),
inference(instantiation,[status(thm)],[c_338]) ).
tcf(c_1048,plain,
! [X0: $i] :
( p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))),j0(X0))
| p(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))),X0,j2(X0))
| p(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))),f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))),j1(X0)) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_1074,plain,
( p(h0,f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))),j0(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))
| p(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))),f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))),j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))
| p(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))),f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))),j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_348]) ).
tcf(c_1075,plain,
! [X0: $i] :
( ~ p(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))),f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))),X0)
| ~ p(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))),f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))),j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_1219,plain,
( ~ p(h0,f0(h0),j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))
| ~ p(h0,f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))),j0(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_347]) ).
tcf(c_1220,plain,
( ~ p(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))),f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))),j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))
| ~ p(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))),f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))),j2(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_1075]) ).
tcf(c_1221,plain,
( p(h0,f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))),j0(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))
| p(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))),f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))),j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))
| p(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))),f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))),j2(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_348]) ).
tcf(c_1228,plain,
( ~ p(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))),f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))),j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))
| ~ p(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))),f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))),j1(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_973]) ).
tcf(c_1231,plain,
( p(h0,f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))),j0(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))))
| p(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))),f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))),j1(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))))
| p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))),f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))),j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_895]) ).
tcf(c_1354,plain,
( ~ p(h0,f0(h0),j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))
| ~ p(h0,f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))),j0(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_903]) ).
tcf(c_1368,plain,
( ~ p(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))),f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))),j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))))))))
| ~ p(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))),f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))))),j1(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_658]) ).
tcf(c_1369,plain,
( ~ p(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))),f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))),j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))))))))
| ~ p(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))),f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))))),j1(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_450]) ).
tcf(c_1380,plain,
( p(h0,f1(j0(f0(h2(f0(h1(f0(h0))))))),j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))))))))))))))
| p(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))),f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))))),j1(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))))))))))))))
| p(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))))))))),f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))))))))),j2(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_430]) ).
tcf(c_1382,plain,
( p(h0,f1(j0(f0(h2(f0(h1(f0(h0))))))),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))))))))))))
| p(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))),f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))))),j1(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))))))))))))
| p(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))))))))),f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))))))),j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_418]) ).
tcf(c_1385,plain,
( ~ p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))
| ~ p(h0,f1(j0(f0(h2(f0(h1(f0(h0))))))),j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_439]) ).
tcf(c_1388,plain,
( ~ p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))
| ~ p(h0,f1(j0(f0(h2(f0(h1(f0(h0))))))),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_424]) ).
tcf(c_1395,plain,
( ~ p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))
| ~ p(h0,f1(j0(f0(h2(f0(h1(f0(h0))))))),j0(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))))) ),
inference(instantiation,[status(thm)],[c_193]) ).
tcf(c_1407,plain,
( ~ p(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))),f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))),j1(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))))))
| ~ p(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))),f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))),j1(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_658]) ).
tcf(c_1412,plain,
( ~ p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))))))),f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))))),j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))))))))))
| ~ p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))))))),f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))))))),j2(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_130]) ).
tcf(c_1414,plain,
( p(h0,f1(j0(f0(h2(f0(h1(f0(h0))))))),j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))))))))))))
| p(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))),f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))),j1(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))))))))))))
| p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))))))),f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))))))),j2(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_430]) ).
tcf(c_1422,plain,
( ~ p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))
| ~ p(h0,f1(j0(f0(h2(f0(h1(f0(h0))))))),j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_439]) ).
tcf(c_1440,plain,
! [X0: $i,X1: $i] :
( p(h2(f1(j1(X0))),X1,j2(X1))
| p(h0,f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))),j0(X1))
| p(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))),f1(j1(X0)),j1(X1)) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_1443,plain,
! [X0: $i,X1: $i] :
( ~ p(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))),f1(j1(X0)),j1(X1))
| ~ p(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))),f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j1(X0)) ),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_1453,plain,
! [X0: $i] :
( p(h2(f1(j1(X0))),f0(h2(f1(j1(X0)))),j2(f0(h2(f1(j1(X0))))))
| p(h0,f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))),j0(f0(h2(f1(j1(X0))))))
| p(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))),f1(j1(X0)),j1(f0(h2(f1(j1(X0)))))) ),
inference(instantiation,[status(thm)],[c_1440]) ).
tcf(c_1506,plain,
! [X0: $i] :
( ~ p(h0,f0(h0),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))
| ~ p(h0,f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))),j0(f0(h2(f1(j1(X0)))))) ),
inference(instantiation,[status(thm)],[c_585]) ).
tcf(c_1514,plain,
! [X0: $i] :
( p(h2(f1(j1(X0))),f1(j2(f0(h2(f1(j1(X0)))))),j2(f1(j2(f0(h2(f1(j1(X0))))))))
| p(h0,f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))),j0(f1(j2(f0(h2(f1(j1(X0))))))))
| p(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))),f1(j1(X0)),j1(f1(j2(f0(h2(f1(j1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_1440]) ).
tcf(c_1523,plain,
! [X0: $i] :
( ~ p(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))),f1(j1(X0)),j1(f1(j2(f0(h2(f1(j1(X0))))))))
| ~ p(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))),f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))),j1(X0)) ),
inference(instantiation,[status(thm)],[c_888]) ).
tcf(c_1531,plain,
! [X0: $i] :
( ~ p(h0,f0(h0),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))
| ~ p(h0,f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))),j0(f1(j2(f0(h2(f1(j1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_585]) ).
tcf(c_1584,plain,
( ~ p(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))),f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))),j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))
| ~ p(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))),f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))),j1(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_949]) ).
tcf(c_1585,plain,
( ~ p(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))),f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))),j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))
| ~ p(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))),f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))),j1(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_735]) ).
tcf(c_1598,plain,
( p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))
| p(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))),f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))),j1(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))
| p(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))),f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))),j2(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_651]) ).
tcf(c_1628,plain,
( p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))
| p(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))),f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))),j1(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))
| p(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))),f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))),j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_609]) ).
tcf(c_1635,plain,
( ~ p(h0,f0(h0),j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))
| ~ p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_666]) ).
tcf(c_1638,plain,
( ~ p(h0,f0(h0),j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))
| ~ p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_627]) ).
tcf(c_1642,plain,
( ~ p(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))),f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))),j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))
| ~ p(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))),f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))),j2(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_130]) ).
tcf(c_1656,plain,
( ~ p(h0,f0(h0),j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))
| ~ p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j0(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_318]) ).
tcf(c_1678,plain,
! [X0: $i] :
( ~ p(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))),f1(j1(X0)),j1(f1(j2(f0(h2(f1(j1(X0))))))))
| ~ p(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))),f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j1(X0)) ),
inference(instantiation,[status(thm)],[c_1443]) ).
tcf(c_1807,plain,
( p(h0,f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))),j0(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))
| p(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))),f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))
| p(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))),f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))),j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_586]) ).
tcf(c_1808,plain,
! [X0: $i] :
( ~ p(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))),f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))),X0)
| ~ p(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))),f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))),j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_1834,plain,
! [X0: $i,X1: $i] :
( p(h2(f1(j1(X0))),X1,j2(X1))
| p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))),j0(X1))
| p(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))),f1(j1(X0)),j1(X1)) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_1837,plain,
! [X0: $i,X1: $i] :
( ~ p(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))),f1(j1(X0)),j1(X1))
| ~ p(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))),f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))),j1(X0)) ),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_1844,plain,
( ~ p(h0,f0(h0),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))
| ~ p(h0,f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))),j0(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_585]) ).
tcf(c_1851,plain,
! [X0: $i] :
( p(h2(f1(j1(X0))),f1(j2(f0(h2(f1(j1(X0)))))),j2(f1(j2(f0(h2(f1(j1(X0))))))))
| p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))),j0(f1(j2(f0(h2(f1(j1(X0))))))))
| p(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))),f1(j1(X0)),j1(f1(j2(f0(h2(f1(j1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_1834]) ).
tcf(c_1868,plain,
! [X0: $i] :
( ~ p(h0,f0(h0),j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))
| ~ p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))),j0(f1(j2(f0(h2(f1(j1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_1047]) ).
tcf(c_1904,plain,
! [X0: $i] :
( ~ p(h0,f0(h0),j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))
| ~ p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j0(X0)) ),
inference(instantiation,[status(thm)],[c_572]) ).
tcf(c_1905,plain,
! [X0: $i] :
( p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j0(X0))
| p(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))),X0,j2(X0))
| p(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))),f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))),j1(X0)) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_1926,plain,
! [X0: $i,X1: $i] :
( p(h2(f1(j1(X0))),X1,j2(X1))
| p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j0(X1))
| p(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))),f1(j1(X0)),j1(X1)) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_1928,plain,
( p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j0(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))
| p(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))),f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))),j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))
| p(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))),f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))),j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_1905]) ).
tcf(c_1929,plain,
! [X0: $i] :
( ~ p(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))),f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))),X0)
| ~ p(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))),f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))),j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_1935,plain,
( ~ p(h0,f0(h0),j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))
| ~ p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j0(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_1904]) ).
tcf(c_1942,plain,
! [X0: $i] :
( ~ p(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))),f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))),j1(X0))
| ~ p(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))),f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))),j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_1949,plain,
! [X0: $i] :
( p(h2(f1(j1(X0))),f1(j2(f0(h2(f1(j1(X0)))))),j2(f1(j2(f0(h2(f1(j1(X0))))))))
| p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j0(f1(j2(f0(h2(f1(j1(X0))))))))
| p(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))),f1(j1(X0)),j1(f1(j2(f0(h2(f1(j1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_1926]) ).
tcf(c_1962,plain,
! [X0: $i] :
( ~ p(h0,f0(h0),j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))
| ~ p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j0(f1(j2(f0(h2(f1(j1(X0)))))))) ),
inference(instantiation,[status(thm)],[c_1904]) ).
tcf(c_1976,plain,
( p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))))))
| p(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))),f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))),j1(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))))))
| p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))),f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))),j2(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_1949]) ).
tcf(c_1977,plain,
( ~ p(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))),f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))),j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))
| ~ p(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))),f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))),j1(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_1942]) ).
tcf(c_1980,plain,
( ~ p(h0,f0(h0),j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))
| ~ p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_1962]) ).
tcf(c_1986,plain,
( ~ p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))),f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))),j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))))
| ~ p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))),f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))),j2(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_130]) ).
tcf(c_1987,plain,
( p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j0(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))))
| p(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))),f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))),j1(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))))
| p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))),f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))),j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_1926]) ).
tcf(c_1996,plain,
( ~ p(h0,f0(h0),j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))
| ~ p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j0(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_1904]) ).
tcf(c_2005,plain,
( ~ p(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))),f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))),j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))
| ~ p(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))),f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))),j1(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_1942]) ).
tcf(c_2041,plain,
( ~ p(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))),f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))
| ~ p(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))),f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))),j1(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_1678]) ).
tcf(c_2060,plain,
( p(h0,f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))),j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))))
| p(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))),f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))),j1(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))))
| p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))),f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))),j2(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_1514]) ).
tcf(c_2066,plain,
( ~ p(h0,f0(h0),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))
| ~ p(h0,f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))),j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_1531]) ).
tcf(c_2070,plain,
( ~ p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))),f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))),j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))
| ~ p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))),f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))),j2(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_130]) ).
tcf(c_2078,plain,
( p(h0,f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))),j0(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))
| p(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))),f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))),j1(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))
| p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))),f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))),j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_1453]) ).
tcf(c_2085,plain,
( ~ p(h0,f0(h0),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))
| ~ p(h0,f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))),j0(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_1506]) ).
tcf(c_2104,plain,
( ~ p(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))),f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))),j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))
| ~ p(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))),f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))),j2(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_1808]) ).
tcf(c_2105,plain,
( p(h0,f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))),j0(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))
| p(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))),f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))
| p(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))),f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))),j2(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_586]) ).
tcf(c_2159,plain,
( ~ p(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))),f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))
| ~ p(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))),f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))),j1(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_1678]) ).
tcf(c_2161,plain,
( p(h0,f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))),j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))))))
| p(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))),f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))),j1(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))))))
| p(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))),f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))),j2(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_1514]) ).
tcf(c_2164,plain,
( ~ p(h0,f0(h0),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))
| ~ p(h0,f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))),j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_1531]) ).
tcf(c_2171,plain,
( ~ p(h0,f0(h0),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))
| ~ p(h0,f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))),j0(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_585]) ).
tcf(c_2180,plain,
( ~ p(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))),f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))),j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))))
| ~ p(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))),f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))),j2(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_130]) ).
tcf(c_2188,plain,
( p(h0,f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))))
| p(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))),f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))),j1(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))))
| p(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))),f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))),j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_1453]) ).
tcf(c_2195,plain,
( ~ p(h0,f0(h0),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))
| ~ p(h0,f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_1506]) ).
tcf(c_2219,plain,
( ~ p(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))),f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))
| ~ p(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))),f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))),j1(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_1443]) ).
tcf(c_2239,plain,
( ~ p(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))),f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))
| ~ p(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))),f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))),j1(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_1443]) ).
tcf(c_2274,plain,
( ~ p(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))))))))),f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))))))),j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))))))))))))
| ~ p(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))))))))),f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))))))))),j2(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_130]) ).
tcf(c_2303,plain,
( ~ p(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))),f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))),j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))
| ~ p(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))),f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j1(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_949]) ).
tcf(c_2309,plain,
( p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))
| p(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))),f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j1(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))
| p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))),f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))),j2(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_651]) ).
tcf(c_2312,plain,
( ~ p(h0,f0(h0),j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))
| ~ p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_666]) ).
tcf(c_2316,plain,
( ~ p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))),f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))),j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))
| ~ p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))),f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))),j2(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_130]) ).
tcf(c_2346,plain,
( ~ p(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))),f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))),j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))
| ~ p(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))),f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))),j1(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_1523]) ).
tcf(c_2347,plain,
( ~ p(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))),f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))),j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))
| ~ p(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))),f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))),j1(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_973]) ).
tcf(c_2369,plain,
( p(h0,f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))),j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))))
| p(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))),f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))),j1(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))))
| p(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))),f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))))),j2(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_941]) ).
tcf(c_2371,plain,
( p(h0,f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))
| p(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))),f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))),j1(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))
| p(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))),f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))),j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_895]) ).
tcf(c_2385,plain,
( ~ p(h0,f0(h0),j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))
| ~ p(h0,f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))),j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_957]) ).
tcf(c_2388,plain,
( ~ p(h0,f0(h0),j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))
| ~ p(h0,f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_903]) ).
tcf(c_2398,plain,
( ~ p(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))),f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))),j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))
| ~ p(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))),f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))),j1(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_1523]) ).
tcf(c_2409,plain,
( p(h0,f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))),j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))
| p(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))),f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))),j1(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))
| p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))),f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))),j2(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_941]) ).
tcf(c_2412,plain,
( ~ p(h0,f0(h0),j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))
| ~ p(h0,f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))),j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_957]) ).
tcf(c_2486,plain,
( ~ p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))),f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))),j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))))
| ~ p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))),f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))),j2(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_130]) ).
tcf(c_2501,plain,
( ~ p(h0,f0(h0),j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))
| ~ p(h0,f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))),j0(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_347]) ).
tcf(c_2517,plain,
( ~ p(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))),f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))),j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))
| ~ p(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))),f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))))),j2(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_130]) ).
tcf(c_2678,plain,
! [X0: $i] :
( ~ p(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))),f1(j1(X0)),j1(f1(j2(f0(h2(f1(j1(X0))))))))
| ~ p(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))),f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))),j1(X0)) ),
inference(instantiation,[status(thm)],[c_1837]) ).
tcf(c_2683,plain,
( p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))),j0(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))
| p(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))),f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))),j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))
| p(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))),f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))),j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_1048]) ).
tcf(c_2684,plain,
! [X0: $i] :
( ~ p(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))),f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))),X0)
| ~ p(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))),f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))),j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_2699,plain,
( ~ p(h0,f0(h0),j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))
| ~ p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))),j0(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_1047]) ).
tcf(c_2700,plain,
( ~ p(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))),f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))),j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))
| ~ p(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))),f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))),j2(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_2684]) ).
tcf(c_2701,plain,
( p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))),j0(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))))
| p(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))),f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))),j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))))
| p(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))),f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))),j2(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_1048]) ).
tcf(c_2713,plain,
( ~ p(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))),f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))),j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))))
| ~ p(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))),f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))),j1(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_2678]) ).
tcf(c_2782,plain,
( p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))),j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))))))
| p(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))),f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))),j1(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))))))
| p(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))))),f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))),j2(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_1851]) ).
tcf(c_2785,plain,
( ~ p(h0,f0(h0),j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))
| ~ p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))),j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_1868]) ).
tcf(c_2789,plain,
( ~ p(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))))),f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))))),j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))))
| ~ p(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))))),f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))),j2(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_130]) ).
tcf(c_2791,plain,
( p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))))
| p(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))),f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))),j1(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))))
| p(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))))),f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))))),j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_1834]) ).
tcf(c_2801,plain,
( ~ p(h0,f0(h0),j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))
| ~ p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_1047]) ).
tcf(c_2808,plain,
( ~ p(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))),f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))),j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))))
| ~ p(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))),f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))),j1(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_1837]) ).
tcf(c_2818,plain,
( ~ p(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))),f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))),j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))
| ~ p(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))),f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))),j1(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_2678]) ).
tcf(c_2820,plain,
( p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))),j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))))
| p(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))),f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))),j1(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))))
| p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))),f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))))),j2(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_1851]) ).
tcf(c_2823,plain,
( ~ p(h0,f0(h0),j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))
| ~ p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))),j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_1868]) ).
tcf(c_2827,plain,
( ~ p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))),f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))),j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))
| ~ p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))),f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))))),j2(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_130]) ).
tcf(c_2829,plain,
( p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))),j0(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))
| p(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))),f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))),j1(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))
| p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))),f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))),j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_1834]) ).
tcf(c_2867,plain,
( ~ p(h0,f0(h0),j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))
| ~ p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))),j0(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_1047]) ).
tcf(c_2876,plain,
( ~ p(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))),f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))),j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))
| ~ p(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))),f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))),j1(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_1837]) ).
tcf(c_2883,plain,
( ~ p(h0,f0(h0),j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))
| ~ p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))),j0(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_1047]) ).
tcf(c_2934,plain,
( ~ p(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))),f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))),j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))
| ~ p(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))),f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))),j2(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_1929]) ).
tcf(c_2935,plain,
( p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j0(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))
| p(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))),f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))),j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))
| p(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))),f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))),j2(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_1905]) ).
tcf(c_2986,plain,
! [X0: $i] :
( ~ p(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))),f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))),j1(X0))
| ~ p(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))),f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))),j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_2989,plain,
( ~ p(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))),f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))),j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))
| ~ p(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))),f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))),j1(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_2986]) ).
tcf(c_2990,plain,
( p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))))))))
| p(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))),f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))),j1(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))))))))
| p(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))),f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))))),j2(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_1949]) ).
tcf(c_2995,plain,
( ~ p(h0,f0(h0),j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))
| ~ p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_1962]) ).
tcf(c_2999,plain,
( ~ p(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))),f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))),j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))))))
| ~ p(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))),f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))))),j2(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_130]) ).
tcf(c_3000,plain,
( p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))))))
| p(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))),f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))),j1(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))))))
| p(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))),f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))),j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_1926]) ).
tcf(c_3144,plain,
( ~ p(h0,f0(h0),j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))
| ~ p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_1904]) ).
tcf(c_3153,plain,
( ~ p(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))),f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))),j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))
| ~ p(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))),f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))),j1(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_2986]) ).
tcf(c_3160,plain,
( ~ p(h0,f0(h0),j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))
| ~ p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j0(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[c_1904]) ).
tcf(c_3161,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3160,c_3153,c_3144,c_3000,c_2999,c_2995,c_2990,c_2989,c_2935,c_2934,c_2883,c_2876,c_2867,c_2829,c_2827,c_2823,c_2820,c_2818,c_2808,c_2801,c_2791,c_2789,c_2785,c_2782,c_2713,c_2701,c_2700,c_2699,c_2683,c_2517,c_2501,c_2486,c_2412,c_2409,c_2398,c_2388,c_2385,c_2371,c_2369,c_2346,c_2347,c_2316,c_2312,c_2309,c_2303,c_2274,c_2239,c_2219,c_2195,c_2188,c_2180,c_2171,c_2164,c_2161,c_2159,c_2105,c_2104,c_2085,c_2078,c_2070,c_2066,c_2060,c_2041,c_2005,c_1996,c_1987,c_1986,c_1980,c_1977,c_1976,c_1935,c_1928,c_1844,c_1807,c_1656,c_1642,c_1638,c_1635,c_1628,c_1598,c_1584,c_1585,c_1422,c_1414,c_1412,c_1407,c_1395,c_1388,c_1385,c_1382,c_1380,c_1368,c_1369,c_1354,c_1231,c_1228,c_1221,c_1220,c_1219,c_1074,c_877,c_870,c_867,c_864,c_857,c_856,c_855,c_759,c_531,c_529,c_524,c_517,c_499,c_496,c_489,c_488,c_487,c_462,c_336,c_333,c_230,c_227,c_181,c_179,c_149,c_148,c_142]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN313-1.001.002 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.38 % Computer : n010.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Fri Sep 25 00:48:28 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.44
% 0.12/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.44
% 0.12/0.44 % Detected problem language: tptp
% 0.12/0.45 % Proving...
% 3.73/1.31 % SZS status Started for theBenchmark.p
% 3.73/1.31 % SZS status Unsatisfiable for theBenchmark.p
% 3.73/1.31
% 3.73/1.31 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.73/1.31
% 3.73/1.31 % ------ iProver source info
% 3.73/1.31
% 3.73/1.31 % git: date: 2026-07-19 20:42:38 +0200
% 3.73/1.31 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.73/1.31 % git: non_committed_changes: false
% 3.73/1.31
% 3.73/1.31 % ------ Parsing...% successful
% 3.73/1.31
% 3.73/1.31
% 3.73/1.31 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.73/1.31
% 3.73/1.31 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.73/1.31
% 3.73/1.31 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.73/1.31 % ------ Proving...
% 3.73/1.31 % ------ Problem Properties
% 3.73/1.31
% 3.73/1.31 %
% 3.73/1.31 % clauses 2
% 3.73/1.31 % conjectures 2
% 3.73/1.31 % EPR 0
% 3.73/1.31 % Horn 1
% 3.73/1.31 % unary 0
% 3.73/1.31 % binary 1
% 3.73/1.31 % lits 5
% 3.73/1.31 % lits eq 0
% 3.73/1.31 % fd_pure 0
% 3.73/1.31 % fd_pseudo 0
% 3.73/1.31 % fd_cond 0
% 3.73/1.31 % fd_pseudo_cond 0
% 3.73/1.31 % AC symbols 0
% 3.73/1.31
% 3.73/1.31 % ------ Schedule dynamic 5 is on
% 3.73/1.31
% 3.73/1.31 % ------ no equalities: superposition off
% 3.73/1.31
% 3.73/1.31 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.73/1.31
% 3.73/1.31
% 3.73/1.31 % ------
% 3.73/1.31 % Current options:
% 3.73/1.31 % ------
% 3.73/1.31
% 3.73/1.31
% 3.73/1.31 %
% 3.73/1.31
% 3.73/1.31 % ------ Proving...
% 3.73/1.31 %
% 3.73/1.31
% 3.73/1.31 % SZS status Unsatisfiable for theBenchmark.p
% 3.73/1.31
% 3.73/1.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.73/1.32
% 3.73/1.32
%------------------------------------------------------------------------------