0.07/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.13	% Command    : nanocop_casc.sh %s %d
0.13/0.34	% Computer   : n010.cluster.edu
0.13/0.34	% Model      : x86_64 x86_64
0.13/0.34	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.34	% Memory     : 8042.1875MB
0.13/0.34	% OS         : Linux 3.10.0-693.el7.x86_64
0.13/0.34	% CPULimit   : 180
0.13/0.34	% DateTime   : Thu Aug 29 15:56:51 EDT 2019
0.13/0.34	% CPUTime    : 
44.00/42.97	% SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
44.00/42.97	% SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
44.00/42.97	
44.00/42.97	- the following list represents a non-clausal connection proof
44.00/42.97	  (a tree in which each node is labelled with a nested clause)
44.00/42.97	- I^V is a skolem term f_I(V) for variable list V
44.00/42.97	- (I^K)^V:C is the (nested) clause C with index (I^K)^V, in which
44.00/42.97	  I is the unique index of C, K distinguishes different copies
44.00/42.97	  of C, and V is the list of (instantiated) variables in C
44.00/42.98	
44.00/42.98	[(51662 ^ 0) ^ [] : [c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)), v_G), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Opname), hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal)), c_Com_Ocom_OBODY)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Com_Opname), c_Natural_Oevalc), c_Com_Ocom_OBODY))), v_Procs)), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), hAPP(c_Natural_Oevalc, hAPP(c_Com_Ocom_OBODY, v_pn)))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool))))], [(39699 ^ 1) ^ [tc_Com_Ostate, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)), v_G), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Opname), hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal)), c_Com_Ocom_OBODY)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Com_Opname), c_Natural_Oevalc), c_Com_Ocom_OBODY))), v_Procs)), c_fequal, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn)), hAPP(c_Natural_Oevalc, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), hAPP(c_Natural_Oevalc, hAPP(c_Com_Ocom_OBODY, v_pn))] : [-(c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)), v_G), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Opname), hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal)), c_Com_Ocom_OBODY)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Com_Opname), c_Natural_Oevalc), c_Com_Ocom_OBODY))), v_Procs)), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), hAPP(c_Natural_Oevalc, hAPP(c_Com_Ocom_OBODY, v_pn)))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool))))), c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)), v_G), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Opname), hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal)), c_Com_Ocom_OBODY)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Com_Opname), c_Natural_Oevalc), c_Com_Ocom_OBODY))), v_Procs)), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), hAPP(c_Natural_Oevalc, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)))), 39706 ^ 1 : [(39709 ^ 1) ^ [] : [hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc, hAPP(c_Com_Ocom_OBODY, v_pn)), 39704 ^ [tc_Com_Ostate, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)), v_G), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Opname), hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal)), c_Com_Ocom_OBODY)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Com_Opname), c_Natural_Oevalc), c_Com_Ocom_OBODY))), v_Procs)), c_fequal, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn)), hAPP(c_Natural_Oevalc, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), hAPP(c_Natural_Oevalc, hAPP(c_Com_Ocom_OBODY, v_pn))]), 39705 ^ [tc_Com_Ostate, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)), v_G), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Opname), hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal)), c_Com_Ocom_OBODY)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Com_Opname), c_Natural_Oevalc), c_Com_Ocom_OBODY))), v_Procs)), c_fequal, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn)), hAPP(c_Natural_Oevalc, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), hAPP(c_Natural_Oevalc, hAPP(c_Com_Ocom_OBODY, v_pn))]))], (39707 ^ 1) ^ [] : [-(hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), 39704 ^ [tc_Com_Ostate, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)), v_G), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Opname), hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal)), c_Com_Ocom_OBODY)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Com_Opname), c_Natural_Oevalc), c_Com_Ocom_OBODY))), v_Procs)), c_fequal, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn)), hAPP(c_Natural_Oevalc, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), hAPP(c_Natural_Oevalc, hAPP(c_Com_Ocom_OBODY, v_pn))]), 39705 ^ [tc_Com_Ostate, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)), v_G), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Opname), hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal)), c_Com_Ocom_OBODY)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Com_Opname), c_Natural_Oevalc), c_Com_Ocom_OBODY))), v_Procs)), c_fequal, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn)), hAPP(c_Natural_Oevalc, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), hAPP(c_Natural_Oevalc, hAPP(c_Com_Ocom_OBODY, v_pn))])))]]], [(39699 ^ 2) ^ [tc_Com_Ostate, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)), v_G), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Opname), hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal)), c_Com_Ocom_OBODY)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Com_Opname), c_Natural_Oevalc), c_Com_Ocom_OBODY))), v_Procs)), c_fequal, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn)), hAPP(c_Natural_Oevalc, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), hAPP(c_Natural_Oevalc, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn)))] : [-(c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)), v_G), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Opname), hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal)), c_Com_Ocom_OBODY)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Com_Opname), c_Natural_Oevalc), c_Com_Ocom_OBODY))), v_Procs)), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), hAPP(c_Natural_Oevalc, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool))))), c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)), v_G), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Opname), hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal)), c_Com_Ocom_OBODY)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Com_Opname), c_Natural_Oevalc), c_Com_Ocom_OBODY))), v_Procs)), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), hAPP(c_Natural_Oevalc, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)))), 39706 ^ 2 : [(39709 ^ 2) ^ [] : [hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), 39704 ^ [tc_Com_Ostate, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)), v_G), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Opname), hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal)), c_Com_Ocom_OBODY)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Com_Opname), c_Natural_Oevalc), c_Com_Ocom_OBODY))), v_Procs)), c_fequal, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn)), hAPP(c_Natural_Oevalc, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), hAPP(c_Natural_Oevalc, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn)))]), 39705 ^ [tc_Com_Ostate, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)), v_G), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Opname), hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal)), c_Com_Ocom_OBODY)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Com_Opname), c_Natural_Oevalc), c_Com_Ocom_OBODY))), v_Procs)), c_fequal, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn)), hAPP(c_Natural_Oevalc, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), hAPP(c_Natural_Oevalc, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn)))]))], (39707 ^ 2) ^ [] : [-(hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), 39704 ^ [tc_Com_Ostate, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)), v_G), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Opname), hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal)), c_Com_Ocom_OBODY)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Com_Opname), c_Natural_Oevalc), c_Com_Ocom_OBODY))), v_Procs)), c_fequal, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn)), hAPP(c_Natural_Oevalc, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), hAPP(c_Natural_Oevalc, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn)))]), 39705 ^ [tc_Com_Ostate, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)), v_G), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Opname), hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal)), c_Com_Ocom_OBODY)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Com_Opname), c_Natural_Oevalc), c_Com_Ocom_OBODY))), v_Procs)), c_fequal, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn)), hAPP(c_Natural_Oevalc, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), hAPP(c_Natural_Oevalc, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn)))])))]]], [(33222 ^ 3) ^ [tc_Com_Ostate, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)), v_G), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Opname), hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal)), c_Com_Ocom_OBODY)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Com_Opname), c_Natural_Oevalc), c_Com_Ocom_OBODY))), v_Procs)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), hAPP(c_Natural_Oevalc, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn)))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool))] : [-(c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)), v_G), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Opname), hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal)), c_Com_Ocom_OBODY)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Com_Opname), c_Natural_Oevalc), c_Com_Ocom_OBODY))), v_Procs)), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), hAPP(c_Natural_Oevalc, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool))))), 33225 ^ 3 : [(33226 ^ 3) ^ [] : []], c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)), v_G), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Opname), hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal)), c_Com_Ocom_OBODY)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Com_Opname), c_Natural_Oevalc), c_Com_Ocom_OBODY))), v_Procs)), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), hAPP(c_Natural_Oevalc, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool))))], [(19680 ^ 4) ^ [] : [-(c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)), v_G), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Opname), hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal)), c_Com_Ocom_OBODY)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Com_Opname), c_Natural_Oevalc), c_Com_Ocom_OBODY))), v_Procs)), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), hAPP(c_Natural_Oevalc, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)))))]]], [(39707 ^ 5) ^ [] : [-(hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), 39704 ^ [tc_Com_Ostate, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)), v_G), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Opname), hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal)), c_Com_Ocom_OBODY)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Com_Opname), c_Natural_Oevalc), c_Com_Ocom_OBODY))), v_Procs)), c_fequal, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn)), hAPP(c_Natural_Oevalc, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), hAPP(c_Natural_Oevalc, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn)))]), 39705 ^ [tc_Com_Ostate, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)), v_G), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Opname), hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal)), c_Com_Ocom_OBODY)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Com_Opname), c_Natural_Oevalc), c_Com_Ocom_OBODY))), v_Procs)), c_fequal, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn)), hAPP(c_Natural_Oevalc, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), hAPP(c_Natural_Oevalc, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn)))])))]]], [(48522 ^ 4) ^ [v_pn, 39704 ^ [tc_Com_Ostate, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)), v_G), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Opname), hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal)), c_Com_Ocom_OBODY)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Com_Opname), c_Natural_Oevalc), c_Com_Ocom_OBODY))), v_Procs)), c_fequal, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn)), hAPP(c_Natural_Oevalc, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), hAPP(c_Natural_Oevalc, hAPP(c_Com_Ocom_OBODY, v_pn))], 39705 ^ [tc_Com_Ostate, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)), v_G), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Opname), hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal)), c_Com_Ocom_OBODY)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Com_Opname), c_Natural_Oevalc), c_Com_Ocom_OBODY))), v_Procs)), c_fequal, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn)), hAPP(c_Natural_Oevalc, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), hAPP(c_Natural_Oevalc, hAPP(c_Com_Ocom_OBODY, v_pn))]] : [-(hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc, hAPP(c_Com_Ocom_OBODY, v_pn)), 39704 ^ [tc_Com_Ostate, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)), v_G), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Opname), hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal)), c_Com_Ocom_OBODY)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Com_Opname), c_Natural_Oevalc), c_Com_Ocom_OBODY))), v_Procs)), c_fequal, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn)), hAPP(c_Natural_Oevalc, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), hAPP(c_Natural_Oevalc, hAPP(c_Com_Ocom_OBODY, v_pn))]), 39705 ^ [tc_Com_Ostate, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)), v_G), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Opname), hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal)), c_Com_Ocom_OBODY)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Com_Opname), c_Natural_Oevalc), c_Com_Ocom_OBODY))), v_Procs)), c_fequal, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn)), hAPP(c_Natural_Oevalc, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), hAPP(c_Natural_Oevalc, hAPP(c_Com_Ocom_OBODY, v_pn))]))), hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), 39704 ^ [tc_Com_Ostate, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)), v_G), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Opname), hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal)), c_Com_Ocom_OBODY)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Com_Opname), c_Natural_Oevalc), c_Com_Ocom_OBODY))), v_Procs)), c_fequal, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn)), hAPP(c_Natural_Oevalc, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), hAPP(c_Natural_Oevalc, hAPP(c_Com_Ocom_OBODY, v_pn))]), 39705 ^ [tc_Com_Ostate, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)), v_G), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Opname), hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal)), c_Com_Ocom_OBODY)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Com_Opname), c_Natural_Oevalc), c_Com_Ocom_OBODY))), v_Procs)), c_fequal, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn)), hAPP(c_Natural_Oevalc, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), hAPP(c_Natural_Oevalc, hAPP(c_Com_Ocom_OBODY, v_pn))]))], [(39707 ^ 5) ^ [] : [-(hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), 39704 ^ [tc_Com_Ostate, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)), v_G), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Opname), hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal)), c_Com_Ocom_OBODY)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Com_Opname), c_Natural_Oevalc), c_Com_Ocom_OBODY))), v_Procs)), c_fequal, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn)), hAPP(c_Natural_Oevalc, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), hAPP(c_Natural_Oevalc, hAPP(c_Com_Ocom_OBODY, v_pn))]), 39705 ^ [tc_Com_Ostate, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)), v_G), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Opname), hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal)), c_Com_Ocom_OBODY)), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Com_Opname), c_Natural_Oevalc), c_Com_Ocom_OBODY))), v_Procs)), c_fequal, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn)), hAPP(c_Natural_Oevalc, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), hAPP(c_Natural_Oevalc, hAPP(c_Com_Ocom_OBODY, v_pn))])))]]]]]
44.00/42.98	
44.00/42.99	% SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
44.00/42.99	EOF