TSTP Solution File: SWV907-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV907-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:49:32 EDT 2024
% Result : Unsatisfiable 109.13s 14.06s
% Output : CNFRefutation 110.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SWV907-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n009.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Tue Apr 30 00:39:25 EDT 2024
% 0.07/0.26 % CPUTime :
% 0.07/0.28 % Drodi V3.6.0
% 109.13/14.06 % Refutation found
% 109.13/14.06 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 109.13/14.06 % SZS output start CNFRefutation for theBenchmark
% 109.13/14.06 fof(f6,axiom,(
% 109.13/14.06 (![T_a,V_B]: (c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ))),
% 109.13/14.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.06 fof(f7,axiom,(
% 109.13/14.06 (![V_A,T_a]: (c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ))),
% 109.13/14.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.06 fof(f10,axiom,(
% 109.13/14.06 (![V_A,V_a,V_B,T_a]: (c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ))),
% 109.13/14.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.06 fof(f37,axiom,(
% 109.13/14.06 (![V_A,V_B,V_C,T_a]: (c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ))),
% 109.13/14.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.06 fof(f43,axiom,(
% 109.13/14.06 (![V_x,V_A,T_a]: (hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a)) ))),
% 109.13/14.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.06 fof(f48,axiom,(
% 109.13/14.06 (![V_f,V_x,V_y,T_a,T_b]: (( c_Map_Odom(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,tc_Option_Ooption(T_b)),T_a,T_b) = c_Set_Oinsert(V_x,c_Map_Odom(V_f,T_a,T_b),T_a)| V_y = c_Option_Ooption_ONone(T_b) ) ))),
% 109.13/14.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.06 fof(f49,axiom,(
% 109.13/14.06 (![V_x,V_S,T_a]: (( hBOOL(c_in(V_x,V_S,T_a))| ~ hBOOL(hAPP(V_S,V_x)) ) ))),
% 109.13/14.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.06 fof(f50,axiom,(
% 109.13/14.06 (![V_S,V_x,T_a]: (( hBOOL(hAPP(V_S,V_x))| ~ hBOOL(c_in(V_x,V_S,T_a)) ) ))),
% 109.13/14.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.06 fof(f51,axiom,(
% 109.13/14.06 (![V_P,T_a,T_b,V_Q]: (hAPP(c_COMBK(V_P,T_a,T_b),V_Q) = V_P ))),
% 109.13/14.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.06 fof(f62,axiom,(
% 109.13/14.06 (![V_A,V_B,V_C,T_a]: (c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ))),
% 109.13/14.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.06 fof(f76,axiom,(
% 109.13/14.06 (![T_a,V_x,V_y]: (( ~ class_Lattices_Olower__semilattice(T_a)| c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_x| ~ c_lessequals(V_x,V_y,T_a) ) ))),
% 109.13/14.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.06 fof(f80,axiom,(
% 109.13/14.06 (![V_B,V_A,T_a]: (c_lessequals(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ))),
% 109.13/14.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.06 fof(f90,axiom,(
% 109.13/14.06 (![V_A,V_B,T_a]: (c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)) ))),
% 109.13/14.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.06 fof(f91,axiom,(
% 109.13/14.06 (![T_a,V_x,V_y]: (( ~ class_Lattices_Olower__semilattice(T_a)| c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ))),
% 109.13/14.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.06 fof(f112,axiom,(
% 109.13/14.06 (![V_x,V_A,T_a]: (c_Set_Oinsert(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) = c_Set_Oinsert(V_x,V_A,T_a) ))),
% 109.13/14.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.06 fof(f119,axiom,(
% 109.13/14.06 (![V_B,V_a,T_a]: (c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) ))),
% 109.13/14.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.06 fof(f121,axiom,(
% 109.13/14.06 (![V_a,V_A,T_a]: (( c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a)| ~ c_Finite__Set_Ofinite(V_A,T_a) ) ))),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f141,axiom,(
% 109.13/14.08 (![V_m,V_a,V_b,T_a,T_b,V_c,V_d]: (( c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_m,V_a,V_b,T_a,T_b),V_c,V_d,T_a,T_b) = c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_m,V_c,V_d,T_a,T_b),V_a,V_b,T_a,T_b)| V_a = V_c ) ))),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f144,axiom,(
% 109.13/14.08 (![V_A,V_B,T_a,V_x]: (( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))| ~ hBOOL(hAPP(V_B,V_x)) ) ))),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f156,axiom,(
% 109.13/14.08 (![V_m,V_a,T_b,T_a]: (( hAPP(V_m,V_a) != c_Option_Ooption_ONone(T_b)| ~ hBOOL(c_in(V_a,c_Map_Odom(V_m,T_a,T_b),T_a)) ) ))),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f168,axiom,(
% 109.13/14.08 (![V_f,V_x,V_y,T_a,T_b,V_z]: (c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_x,V_z,T_a,T_b) = c_Fun_Ofun__upd(V_f,V_x,V_z,T_a,T_b) ))),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f171,axiom,(
% 109.13/14.08 (![T_a,V_x]: (( ~ class_Lattices_Obounded__lattice(T_a)| c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(T_a),V_x,T_a) = V_x ) ))),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f173,axiom,(
% 109.13/14.08 (![V_A,T_a]: (c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ))),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f175,axiom,(
% 109.13/14.08 (![T_a,V_x,V_y]: (( ~ class_Lattices_Olattice(T_a)| c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = V_x ) ))),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f178,axiom,(
% 109.13/14.08 (![T_b]: (( ~ class_Orderings_Otop(T_b)| hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,T_b)),v_x) = c_Orderings_Otop__class_Otop(T_b) ) ))),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f196,axiom,(
% 109.13/14.08 (![T_a]: (hBOOL(c_Option_Ois__none(c_Option_Ooption_ONone(T_a),T_a)) ))),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f202,axiom,(
% 109.13/14.08 (![V_f,V_x,T_b,T_a]: (c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_b,T_a) = V_f ))),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f203,axiom,(
% 109.13/14.08 (![V_f,V_x,V_y,T_b,T_a]: (hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_x) = V_y ))),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f224,axiom,(
% 109.13/14.08 (![T_a,V_x,V_y]: (( ~ class_Lattices_Oupper__semilattice(T_a)| c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ))),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f230,axiom,(
% 109.13/14.08 (![V_a,V_A,T_a]: (( c_Set_Oinsert(V_a,V_A,T_a) = V_A| ~ hBOOL(c_in(V_a,V_A,T_a)) ) ))),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f231,axiom,(
% 109.13/14.08 (![V_a,V_A,T_a]: (c_Set_Oinsert(V_a,V_A,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_A,tc_fun(T_a,tc_bool)) ))),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f238,axiom,(
% 109.13/14.08 (![T_a,V_A]: (( ~ class_Finite__Set_Ofinite_Ofinite(T_a)| c_Finite__Set_Ofinite(V_A,T_a) ) ))),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f248,axiom,(
% 109.13/14.08 (![V_f,V_x,V_y,T_a,T_b]: (( c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b) != V_f| hAPP(V_f,V_x) = V_y ) ))),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f263,axiom,(
% 109.13/14.08 (![T_a,V_x]: (( ~ class_Lattices_Obounded__lattice(T_a)| c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = V_x ) ))),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f267,axiom,(
% 109.13/14.08 (![T_a,V_x]: (( ~ class_Orderings_Obot(T_a)| c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ))),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f275,axiom,(
% 109.13/14.08 (![T_a,V_a,V_A]: (c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a) ))),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f283,axiom,(
% 109.13/14.08 (![V_A,T_a]: (c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ))),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f284,axiom,(
% 109.13/14.08 (![T_a,V_B]: (c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B ))),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f301,axiom,(
% 109.13/14.08 (![V_f,V_a,V_B,T_b,T_a]: (c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a) = c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a) ))),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f302,axiom,(
% 109.13/14.08 (![V_h,V_F,T_a,T_b]: (( c_Finite__Set_Ofinite(c_Set_Oimage(V_h,V_F,T_a,T_b),T_b)| ~ c_Finite__Set_Ofinite(V_F,T_a) ) ))),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f343,axiom,(
% 109.13/14.08 (![V_x,V_A,T_a]: (hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ))),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f359,axiom,(
% 109.13/14.08 (![T_a,V_x]: (( ~ class_Lattices_Olower__semilattice(T_a)| c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a) = V_x ) ))),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f360,axiom,(
% 109.13/14.08 (![V_A,T_a]: (c_Lattices_Olower__semilattice__class_Oinf(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ))),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f372,axiom,(
% 109.13/14.08 (![V_x,V_B,T_a,V_A]: (( hBOOL(c_in(V_x,V_B,T_a))| ~ hBOOL(c_in(V_x,V_A,T_a))| ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ))),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f374,axiom,(
% 109.13/14.08 (![V_x,T_a]: (c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ))),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f411,axiom,(
% 109.13/14.08 (![T_a,V_x]: (hAPP(c_Option_Othe(T_a),hAPP(c_Option_Ooption_OSome(T_a),V_x)) = V_x ))),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f419,axiom,(
% 109.13/14.08 (![T_a,V_x]: (~ hBOOL(c_Option_Ois__none(hAPP(c_Option_Ooption_OSome(T_a),V_x),T_a)) ))),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f451,axiom,(
% 109.13/14.08 (![V_G,V_ts,T_a,V_t]: (( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,V_ts,tc_Hoare__Mirabelle_Otriple(T_a)),T_a) ) ))),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f455,axiom,(
% 109.13/14.08 (![V_G,V_ts,T_a]: (( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| ~ c_lessequals(V_ts,V_G,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)) ) ))),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f481,axiom,(
% 109.13/14.08 (![V_G,V_Procs]: (( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),V_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)| ~ c_Finite__Set_Ofinite(V_Procs,tc_Com_Opname)| ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(V_G,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),V_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),V_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ) ))),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f482,axiom,(
% 109.13/14.08 (![V_m,V_a,T_a,V_b,T_b]: (( hAPP(V_m,V_a) != hAPP(c_Option_Ooption_OSome(T_a),V_b)| hBOOL(c_in(V_a,c_Map_Odom(V_m,T_b,T_a),T_b)) ) ))),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f488,axiom,(
% 109.13/14.08 c_Finite__Set_Ofinite(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname) ),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f493,axiom,(
% 109.13/14.08 (![V_F]: (( c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),V_F,tc_Com_Ostate)| ~ c_lessequals(V_F,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool))| ~ c_Com_OWT__bodies| ~ c_Hoare__Mirabelle_Ostate__not__singleton ) ))),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f498,axiom,(
% 109.13/14.08 (![V_f,V_g,V_A,T_c,T_b,T_a]: (c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_A,T_c,T_b),T_b,T_a) = c_Set_Oimage(c_COMBB(V_f,V_g,T_b,T_a,T_c),V_A,T_c,T_a) ))),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f499,axiom,(
% 109.13/14.08 (![V_G,V_ts,T_a,V_G_H]: (( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_G_H,T_a)| ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G_H,V_ts,T_a) ) ))),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f500,axiom,(
% 109.13/14.08 (![T_a,V_x]: (~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ))),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f506,axiom,(
% 109.13/14.08 (![V_f,T_b,T_a]: (c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ))),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f509,negated_conjecture,(
% 109.13/14.08 c_Hoare__Mirabelle_Ostate__not__singleton ),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f510,negated_conjecture,(
% 109.13/14.08 c_Com_OWT__bodies ),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f512,negated_conjecture,(
% 109.13/14.08 hAPP(c_Com_Obody,v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y) ),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f513,negated_conjecture,(
% 109.13/14.08 ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f526,axiom,(
% 109.13/14.08 class_Lattices_Oupper__semilattice(tc_nat) ),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f527,axiom,(
% 109.13/14.08 class_Lattices_Olower__semilattice(tc_nat) ),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f531,axiom,(
% 109.13/14.08 class_Lattices_Olattice(tc_nat) ),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f533,axiom,(
% 109.13/14.08 class_Orderings_Obot(tc_nat) ),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f537,axiom,(
% 109.13/14.08 class_Lattices_Olower__semilattice(tc_bool) ),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f539,axiom,(
% 109.13/14.08 class_Lattices_Obounded__lattice(tc_bool) ),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f540,axiom,(
% 109.13/14.08 class_Finite__Set_Ofinite_Ofinite(tc_bool) ),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f542,axiom,(
% 109.13/14.08 class_Lattices_Olattice(tc_bool) ),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f544,axiom,(
% 109.13/14.08 class_Orderings_Otop(tc_bool) ),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f547,axiom,(
% 109.13/14.08 (![T_1]: (( class_Finite__Set_Ofinite_Ofinite(tc_Option_Ooption(T_1))| ~ class_Finite__Set_Ofinite_Ofinite(T_1) ) ))),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f550,axiom,(
% 109.13/14.08 (![T_a,V_x]: (hBOOL(hAPP(hAPP(c_fequal(T_a),V_x),V_x)) ))),
% 109.13/14.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 109.13/14.08 fof(f561,plain,(
% 109.13/14.08 ![X0,X1]: (c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X1,tc_fun(X0,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)))),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f6])).
% 109.13/14.08 fof(f562,plain,(
% 109.13/14.08 ![X0,X1]: (c_Lattices_Oupper__semilattice__class_Osup(X0,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)))),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f7])).
% 109.13/14.08 fof(f566,plain,(
% 109.13/14.08 ![X0,X1,X2,X3]: (c_Lattices_Oupper__semilattice__class_Osup(X0,c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool))=c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X0,X2,tc_fun(X3,tc_bool)),X3))),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f10])).
% 109.13/14.08 fof(f609,plain,(
% 109.13/14.08 ![X0,X1,X2,X3]: (c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X0,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f37])).
% 109.13/14.08 fof(f618,plain,(
% 109.13/14.08 ![X0,X1,X2]: (hBOOL(c_in(X0,c_Set_Oinsert(X0,X1,X2),X2)))),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f43])).
% 109.13/14.08 fof(f623,plain,(
% 109.13/14.08 ![V_y,T_b]: ((![V_f,V_x,T_a]: c_Map_Odom(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,tc_Option_Ooption(T_b)),T_a,T_b)=c_Set_Oinsert(V_x,c_Map_Odom(V_f,T_a,T_b),T_a))|V_y=c_Option_Ooption_ONone(T_b))),
% 109.13/14.08 inference(miniscoping,[status(esa)],[f48])).
% 109.13/14.08 fof(f624,plain,(
% 109.13/14.08 ![X0,X1,X2,X3,X4]: (c_Map_Odom(c_Fun_Ofun__upd(X0,X1,X2,X3,tc_Option_Ooption(X4)),X3,X4)=c_Set_Oinsert(X1,c_Map_Odom(X0,X3,X4),X3)|X2=c_Option_Ooption_ONone(X4))),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f623])).
% 109.13/14.08 fof(f625,plain,(
% 109.13/14.08 ![V_x,V_S]: ((![T_a]: hBOOL(c_in(V_x,V_S,T_a)))|~hBOOL(hAPP(V_S,V_x)))),
% 109.13/14.08 inference(miniscoping,[status(esa)],[f49])).
% 109.13/14.08 fof(f626,plain,(
% 109.13/14.08 ![X0,X1,X2]: (hBOOL(c_in(X0,X1,X2))|~hBOOL(hAPP(X1,X0)))),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f625])).
% 109.13/14.08 fof(f627,plain,(
% 109.13/14.08 ![V_S,V_x]: (hBOOL(hAPP(V_S,V_x))|(![T_a]: ~hBOOL(c_in(V_x,V_S,T_a))))),
% 109.13/14.08 inference(miniscoping,[status(esa)],[f50])).
% 109.13/14.08 fof(f628,plain,(
% 109.13/14.08 ![X0,X1,X2]: (hBOOL(hAPP(X0,X1))|~hBOOL(c_in(X1,X0,X2)))),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f627])).
% 109.13/14.08 fof(f629,plain,(
% 109.13/14.08 ![X0,X1,X2,X3]: (hAPP(c_COMBK(X0,X1,X2),X3)=X0)),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f51])).
% 109.13/14.08 fof(f645,plain,(
% 109.13/14.08 ![X0,X1,X2,X3]: (c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X0,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f62])).
% 109.13/14.08 fof(f669,plain,(
% 109.13/14.08 ![X0,X1,X2]: (~class_Lattices_Olower__semilattice(X0)|c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0)=X1|~c_lessequals(X1,X2,X0))),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f76])).
% 109.13/14.08 fof(f674,plain,(
% 109.13/14.08 ![X0,X1,X2]: (c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)))),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f80])).
% 109.13/14.08 fof(f692,plain,(
% 109.13/14.08 ![X0,X1,X2]: (c_Lattices_Olower__semilattice__class_Oinf(X0,X1,tc_fun(X2,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(X1,X0,tc_fun(X2,tc_bool)))),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f90])).
% 109.13/14.08 fof(f693,plain,(
% 109.13/14.08 ![T_a]: (~class_Lattices_Olower__semilattice(T_a)|(![V_x,V_y]: c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a)))),
% 109.13/14.08 inference(miniscoping,[status(esa)],[f91])).
% 109.13/14.08 fof(f694,plain,(
% 109.13/14.08 ![X0,X1,X2]: (~class_Lattices_Olower__semilattice(X0)|c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0)=c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X0))),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f693])).
% 109.13/14.08 fof(f725,plain,(
% 109.13/14.08 ![X0,X1,X2]: (c_Set_Oinsert(X0,c_Set_Oinsert(X0,X1,X2),X2)=c_Set_Oinsert(X0,X1,X2))),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f112])).
% 109.13/14.08 fof(f734,plain,(
% 109.13/14.08 ![X0,X1,X2]: (c_lessequals(X0,c_Set_Oinsert(X1,X0,X2),tc_fun(X2,tc_bool)))),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f119])).
% 109.13/14.08 fof(f737,plain,(
% 109.13/14.08 ![V_A,T_a]: ((![V_a]: c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a))|~c_Finite__Set_Ofinite(V_A,T_a))),
% 109.13/14.08 inference(miniscoping,[status(esa)],[f121])).
% 109.13/14.08 fof(f738,plain,(
% 109.13/14.08 ![X0,X1,X2]: (c_Finite__Set_Ofinite(c_Set_Oinsert(X0,X1,X2),X2)|~c_Finite__Set_Ofinite(X1,X2))),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f737])).
% 109.13/14.08 fof(f768,plain,(
% 109.13/14.08 ![V_a,V_c]: ((![V_m,V_b,T_a,T_b,V_d]: c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_m,V_a,V_b,T_a,T_b),V_c,V_d,T_a,T_b)=c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_m,V_c,V_d,T_a,T_b),V_a,V_b,T_a,T_b))|V_a=V_c)),
% 109.13/14.08 inference(miniscoping,[status(esa)],[f141])).
% 109.13/14.08 fof(f769,plain,(
% 109.13/14.08 ![X0,X1,X2,X3,X4,X5,X6]: (c_Fun_Ofun__upd(c_Fun_Ofun__upd(X0,X1,X2,X3,X4),X5,X6,X3,X4)=c_Fun_Ofun__upd(c_Fun_Ofun__upd(X0,X5,X6,X3,X4),X1,X2,X3,X4)|X1=X5)),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f768])).
% 109.13/14.08 fof(f774,plain,(
% 109.13/14.08 ![V_B,V_x]: ((![V_A,T_a]: hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)))|~hBOOL(hAPP(V_B,V_x)))),
% 109.13/14.08 inference(miniscoping,[status(esa)],[f144])).
% 109.13/14.08 fof(f775,plain,(
% 109.13/14.08 ![X0,X1,X2,X3]: (hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)),X3))|~hBOOL(hAPP(X1,X3)))),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f774])).
% 109.13/14.08 fof(f793,plain,(
% 109.13/14.08 ![V_m,V_a,T_b]: (~hAPP(V_m,V_a)=c_Option_Ooption_ONone(T_b)|(![T_a]: ~hBOOL(c_in(V_a,c_Map_Odom(V_m,T_a,T_b),T_a))))),
% 109.13/14.08 inference(miniscoping,[status(esa)],[f156])).
% 109.13/14.08 fof(f794,plain,(
% 109.13/14.08 ![X0,X1,X2,X3]: (~hAPP(X0,X1)=c_Option_Ooption_ONone(X2)|~hBOOL(c_in(X1,c_Map_Odom(X0,X3,X2),X3)))),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f793])).
% 109.13/14.08 fof(f814,plain,(
% 109.13/14.08 ![X0,X1,X2,X3,X4,X5]: (c_Fun_Ofun__upd(c_Fun_Ofun__upd(X0,X1,X2,X3,X4),X1,X5,X3,X4)=c_Fun_Ofun__upd(X0,X1,X5,X3,X4))),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f168])).
% 109.13/14.08 fof(f819,plain,(
% 109.13/14.08 ![T_a]: (~class_Lattices_Obounded__lattice(T_a)|(![V_x]: c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(T_a),V_x,T_a)=V_x))),
% 109.13/14.08 inference(miniscoping,[status(esa)],[f171])).
% 109.13/14.08 fof(f820,plain,(
% 109.13/14.08 ![X0,X1]: (~class_Lattices_Obounded__lattice(X0)|c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(X0),X1,X0)=X1)),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f819])).
% 109.13/14.08 fof(f822,plain,(
% 109.13/14.08 ![X0,X1]: (c_Lattices_Olower__semilattice__class_Oinf(X0,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool))=X0)),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f173])).
% 109.13/14.08 fof(f825,plain,(
% 109.13/14.08 ![T_a]: (~class_Lattices_Olattice(T_a)|(![V_x,V_y]: c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a)=V_x))),
% 109.13/14.08 inference(miniscoping,[status(esa)],[f175])).
% 109.13/14.08 fof(f826,plain,(
% 109.13/14.08 ![X0,X1,X2]: (~class_Lattices_Olattice(X0)|c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X0)=X1)),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f825])).
% 109.13/14.08 fof(f829,plain,(
% 109.13/14.08 ![X0]: (~class_Orderings_Otop(X0)|hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,X0)),v_x)=c_Orderings_Otop__class_Otop(X0))),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f178])).
% 109.13/14.08 fof(f849,plain,(
% 109.13/14.08 ![X0]: (hBOOL(c_Option_Ois__none(c_Option_Ooption_ONone(X0),X0)))),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f196])).
% 109.13/14.08 fof(f857,plain,(
% 109.13/14.08 ![X0,X1,X2,X3]: (c_Fun_Ofun__upd(X0,X1,hAPP(X0,X1),X2,X3)=X0)),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f202])).
% 109.13/14.08 fof(f858,plain,(
% 109.13/14.08 ![X0,X1,X2,X3,X4]: (hAPP(c_Fun_Ofun__upd(X0,X1,X2,X3,X4),X1)=X2)),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f203])).
% 109.13/14.08 fof(f893,plain,(
% 109.13/14.08 ![T_a]: (~class_Lattices_Oupper__semilattice(T_a)|(![V_x,V_y]: c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a)))),
% 109.13/14.08 inference(miniscoping,[status(esa)],[f224])).
% 109.13/14.08 fof(f894,plain,(
% 109.13/14.08 ![X0,X1,X2]: (~class_Lattices_Oupper__semilattice(X0)|c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0)=c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X0))),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f893])).
% 109.13/14.08 fof(f903,plain,(
% 109.13/14.08 ![X0,X1,X2]: (c_Set_Oinsert(X0,X1,X2)=X1|~hBOOL(c_in(X0,X1,X2)))),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f230])).
% 109.13/14.08 fof(f904,plain,(
% 109.13/14.08 ![X0,X1,X2]: (c_Set_Oinsert(X0,X1,X2)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X1,tc_fun(X2,tc_bool)))),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f231])).
% 109.13/14.08 fof(f913,plain,(
% 109.13/14.08 ![T_a]: (~class_Finite__Set_Ofinite_Ofinite(T_a)|(![V_A]: c_Finite__Set_Ofinite(V_A,T_a)))),
% 109.13/14.08 inference(miniscoping,[status(esa)],[f238])).
% 109.13/14.08 fof(f914,plain,(
% 109.13/14.08 ![X0,X1]: (~class_Finite__Set_Ofinite_Ofinite(X0)|c_Finite__Set_Ofinite(X1,X0))),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f913])).
% 109.13/14.08 fof(f928,plain,(
% 109.13/14.08 ![V_f,V_x,V_y]: ((![T_a,T_b]: ~c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b)=V_f)|hAPP(V_f,V_x)=V_y)),
% 109.13/14.08 inference(miniscoping,[status(esa)],[f248])).
% 109.13/14.08 fof(f929,plain,(
% 109.13/14.08 ![X0,X1,X2,X3,X4]: (~c_Fun_Ofun__upd(X0,X1,X2,X3,X4)=X0|hAPP(X0,X1)=X2)),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f928])).
% 109.13/14.08 fof(f953,plain,(
% 109.13/14.08 ![T_a]: (~class_Lattices_Obounded__lattice(T_a)|(![V_x]: c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(T_a),V_x,T_a)=V_x))),
% 109.13/14.08 inference(miniscoping,[status(esa)],[f263])).
% 109.13/14.08 fof(f954,plain,(
% 109.13/14.08 ![X0,X1]: (~class_Lattices_Obounded__lattice(X0)|c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X0),X1,X0)=X1)),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f953])).
% 109.13/14.08 fof(f961,plain,(
% 109.13/14.08 ![T_a]: (~class_Orderings_Obot(T_a)|(![V_x]: c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a)))),
% 109.13/14.08 inference(miniscoping,[status(esa)],[f267])).
% 109.13/14.08 fof(f962,plain,(
% 109.13/14.08 ![X0,X1]: (~class_Orderings_Obot(X0)|c_lessequals(c_Orderings_Obot__class_Obot(X0),X1,X0))),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f961])).
% 109.13/14.08 fof(f973,plain,(
% 109.13/14.08 ![X0,X1,X2]: (~c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))=c_Set_Oinsert(X1,X2,X0))),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f275])).
% 109.13/14.08 fof(f985,plain,(
% 109.13/14.08 ![X0,X1]: (c_Lattices_Oupper__semilattice__class_Osup(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool))=X0)),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f283])).
% 109.13/14.08 fof(f986,plain,(
% 109.13/14.08 ![X0,X1]: (c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1,tc_fun(X0,tc_bool))=X1)),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f284])).
% 109.13/14.08 fof(f1011,plain,(
% 109.13/14.08 ![X0,X1,X2,X3,X4]: (c_Set_Oimage(X0,c_Set_Oinsert(X1,X2,X3),X3,X4)=c_Set_Oinsert(hAPP(X0,X1),c_Set_Oimage(X0,X2,X3,X4),X4))),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f301])).
% 109.13/14.08 fof(f1012,plain,(
% 109.13/14.08 ![V_F,T_a]: ((![V_h,T_b]: c_Finite__Set_Ofinite(c_Set_Oimage(V_h,V_F,T_a,T_b),T_b))|~c_Finite__Set_Ofinite(V_F,T_a))),
% 109.13/14.08 inference(miniscoping,[status(esa)],[f302])).
% 109.13/14.08 fof(f1013,plain,(
% 109.13/14.08 ![X0,X1,X2,X3]: (c_Finite__Set_Ofinite(c_Set_Oimage(X0,X1,X2,X3),X3)|~c_Finite__Set_Ofinite(X1,X2))),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f1012])).
% 109.13/14.08 fof(f1081,plain,(
% 109.13/14.08 ![X0,X1,X2]: (hBOOL(hAPP(c_Set_Oinsert(X0,X1,X2),X0)))),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f343])).
% 109.13/14.08 fof(f1107,plain,(
% 109.13/14.08 ![T_a]: (~class_Lattices_Olower__semilattice(T_a)|(![V_x]: c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a)=V_x))),
% 109.13/14.08 inference(miniscoping,[status(esa)],[f359])).
% 109.13/14.08 fof(f1108,plain,(
% 109.13/14.08 ![X0,X1]: (~class_Lattices_Olower__semilattice(X0)|c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X0)=X1)),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f1107])).
% 109.13/14.08 fof(f1109,plain,(
% 109.13/14.08 ![X0,X1]: (c_Lattices_Olower__semilattice__class_Oinf(X0,X0,tc_fun(X1,tc_bool))=X0)),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f360])).
% 109.13/14.08 fof(f1132,plain,(
% 109.13/14.08 ![V_B,T_a,V_A]: ((![V_x]: (hBOOL(c_in(V_x,V_B,T_a))|~hBOOL(c_in(V_x,V_A,T_a))))|~c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)))),
% 109.13/14.08 inference(miniscoping,[status(esa)],[f372])).
% 109.13/14.08 fof(f1133,plain,(
% 109.13/14.08 ![X0,X1,X2,X3]: (hBOOL(c_in(X0,X1,X2))|~hBOOL(c_in(X0,X3,X2))|~c_lessequals(X3,X1,tc_fun(X2,tc_bool)))),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f1132])).
% 109.13/14.08 fof(f1136,plain,(
% 109.13/14.08 ![X0,X1]: (c_lessequals(X0,X0,tc_fun(X1,tc_bool)))),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f374])).
% 109.13/14.08 fof(f1196,plain,(
% 109.13/14.08 ![X0,X1]: (hAPP(c_Option_Othe(X0),hAPP(c_Option_Ooption_OSome(X0),X1))=X1)),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f411])).
% 109.13/14.08 fof(f1208,plain,(
% 109.13/14.08 ![X0,X1]: (~hBOOL(c_Option_Ois__none(hAPP(c_Option_Ooption_OSome(X0),X1),X0)))),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f419])).
% 109.13/14.08 fof(f1249,plain,(
% 109.13/14.08 ![V_G,V_ts,T_a]: (c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)|(![V_t]: ~c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,V_ts,tc_Hoare__Mirabelle_Otriple(T_a)),T_a)))),
% 109.13/14.08 inference(miniscoping,[status(esa)],[f451])).
% 109.13/14.08 fof(f1250,plain,(
% 109.13/14.08 ![X0,X1,X2,X3]: (c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,X2)|~c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Set_Oinsert(X3,X1,tc_Hoare__Mirabelle_Otriple(X2)),X2))),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f1249])).
% 109.13/14.08 fof(f1256,plain,(
% 109.13/14.08 ![X0,X1,X2]: (c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,X2)|~c_lessequals(X1,X0,tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)))),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f455])).
% 109.13/14.08 fof(f1294,plain,(
% 109.13/14.08 ![X0,X1]: (c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),X1,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)|~c_Finite__Set_Ofinite(X1,tc_Com_Opname)|~c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),X1,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),X1,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate))),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f481])).
% 109.13/14.08 fof(f1295,plain,(
% 109.13/14.08 ![V_m,V_a,T_a]: ((![V_b]: ~hAPP(V_m,V_a)=hAPP(c_Option_Ooption_OSome(T_a),V_b))|(![T_b]: hBOOL(c_in(V_a,c_Map_Odom(V_m,T_b,T_a),T_b))))),
% 109.13/14.08 inference(miniscoping,[status(esa)],[f482])).
% 109.13/14.08 fof(f1296,plain,(
% 109.13/14.08 ![X0,X1,X2,X3,X4]: (~hAPP(X0,X1)=hAPP(c_Option_Ooption_OSome(X2),X3)|hBOOL(c_in(X1,c_Map_Odom(X0,X4,X2),X4)))),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f1295])).
% 109.13/14.08 fof(f1307,plain,(
% 109.13/14.08 c_Finite__Set_Ofinite(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname)),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f488])).
% 109.13/14.08 fof(f1314,plain,(
% 109.13/14.08 ((![V_F]: (c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),V_F,tc_Com_Ostate)|~c_lessequals(V_F,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool))))|~c_Com_OWT__bodies)|~c_Hoare__Mirabelle_Ostate__not__singleton),
% 109.13/14.08 inference(miniscoping,[status(esa)],[f493])).
% 109.13/14.08 fof(f1315,plain,(
% 109.13/14.08 ![X0]: (c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),X0,tc_Com_Ostate)|~c_lessequals(X0,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool))|~c_Com_OWT__bodies|~c_Hoare__Mirabelle_Ostate__not__singleton)),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f1314])).
% 109.13/14.08 fof(f1323,plain,(
% 109.13/14.08 ![X0,X1,X2,X3,X4,X5]: (c_Set_Oimage(X0,c_Set_Oimage(X1,X2,X3,X4),X4,X5)=c_Set_Oimage(c_COMBB(X0,X1,X4,X5,X3),X2,X3,X5))),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f498])).
% 109.13/14.08 fof(f1324,plain,(
% 109.13/14.08 ![V_ts,T_a,V_G_H]: ((![V_G]: (c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)|~c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_G_H,T_a)))|~c_Hoare__Mirabelle_Ohoare__derivs(V_G_H,V_ts,T_a))),
% 109.13/14.08 inference(miniscoping,[status(esa)],[f499])).
% 109.13/14.08 fof(f1325,plain,(
% 109.13/14.08 ![X0,X1,X2,X3]: (c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,X2)|~c_Hoare__Mirabelle_Ohoare__derivs(X0,X3,X2)|~c_Hoare__Mirabelle_Ohoare__derivs(X3,X1,X2))),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f1324])).
% 109.13/14.08 fof(f1326,plain,(
% 109.13/14.08 ![X0,X1]: (~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1)))),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f500])).
% 109.13/14.08 fof(f1335,plain,(
% 109.13/14.08 ![X0,X1,X2]: (c_Set_Oimage(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1,X2)=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f506])).
% 109.13/14.08 fof(f1338,plain,(
% 109.13/14.08 c_Hoare__Mirabelle_Ostate__not__singleton),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f509])).
% 109.13/14.08 fof(f1339,plain,(
% 109.13/14.08 c_Com_OWT__bodies),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f510])).
% 109.13/14.08 fof(f1341,plain,(
% 109.13/14.08 hAPP(c_Com_Obody,v_pn)=hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y)),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f512])).
% 109.13/14.08 fof(f1342,plain,(
% 109.13/14.08 ~c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f513])).
% 109.13/14.08 fof(f1367,plain,(
% 109.13/14.08 class_Lattices_Oupper__semilattice(tc_nat)),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f526])).
% 109.13/14.08 fof(f1368,plain,(
% 109.13/14.08 class_Lattices_Olower__semilattice(tc_nat)),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f527])).
% 109.13/14.08 fof(f1372,plain,(
% 109.13/14.08 class_Lattices_Olattice(tc_nat)),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f531])).
% 109.13/14.08 fof(f1374,plain,(
% 109.13/14.08 class_Orderings_Obot(tc_nat)),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f533])).
% 109.13/14.08 fof(f1378,plain,(
% 109.13/14.08 class_Lattices_Olower__semilattice(tc_bool)),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f537])).
% 109.13/14.08 fof(f1380,plain,(
% 109.13/14.08 class_Lattices_Obounded__lattice(tc_bool)),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f539])).
% 109.13/14.08 fof(f1381,plain,(
% 109.13/14.08 class_Finite__Set_Ofinite_Ofinite(tc_bool)),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f540])).
% 109.13/14.08 fof(f1383,plain,(
% 109.13/14.08 class_Lattices_Olattice(tc_bool)),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f542])).
% 109.13/14.08 fof(f1385,plain,(
% 109.13/14.08 class_Orderings_Otop(tc_bool)),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f544])).
% 109.13/14.08 fof(f1388,plain,(
% 109.13/14.08 ![X0]: (class_Finite__Set_Ofinite_Ofinite(tc_Option_Ooption(X0))|~class_Finite__Set_Ofinite_Ofinite(X0))),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f547])).
% 109.13/14.08 fof(f1391,plain,(
% 109.13/14.08 ![X0,X1]: (hBOOL(hAPP(hAPP(c_fequal(X0),X1),X1)))),
% 109.13/14.08 inference(cnf_transformation,[status(esa)],[f550])).
% 109.13/14.08 fof(f1397,plain,(
% 109.13/14.08 spl0_1 <=> c_Hoare__Mirabelle_Ostate__not__singleton),
% 109.13/14.08 introduced(split_symbol_definition)).
% 109.13/14.08 fof(f1399,plain,(
% 109.13/14.08 ~c_Hoare__Mirabelle_Ostate__not__singleton|spl0_1),
% 109.13/14.08 inference(component_clause,[status(thm)],[f1397])).
% 109.13/14.08 fof(f1409,plain,(
% 109.13/14.08 spl0_4 <=> c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),X0,tc_Com_Ostate)|~c_lessequals(X0,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool))),
% 109.13/14.08 introduced(split_symbol_definition)).
% 109.13/14.08 fof(f1410,plain,(
% 109.13/14.08 ![X0]: (c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),X0,tc_Com_Ostate)|~c_lessequals(X0,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool))|~spl0_4)),
% 109.13/14.08 inference(component_clause,[status(thm)],[f1409])).
% 109.13/14.08 fof(f1412,plain,(
% 109.13/14.08 spl0_5 <=> c_Com_OWT__bodies),
% 109.13/14.08 introduced(split_symbol_definition)).
% 109.13/14.08 fof(f1414,plain,(
% 109.13/14.08 ~c_Com_OWT__bodies|spl0_5),
% 109.13/14.08 inference(component_clause,[status(thm)],[f1412])).
% 109.13/14.08 fof(f1415,plain,(
% 109.13/14.08 spl0_4|~spl0_5|~spl0_1),
% 109.13/14.08 inference(split_clause,[status(thm)],[f1315,f1409,f1412,f1397])).
% 109.13/14.08 fof(f1424,plain,(
% 109.13/14.08 spl0_8 <=> X0=X1),
% 109.13/14.08 introduced(split_symbol_definition)).
% 109.13/14.08 fof(f1425,plain,(
% 109.13/14.08 ![X0,X1]: (X0=X1|~spl0_8)),
% 109.13/14.08 inference(component_clause,[status(thm)],[f1424])).
% 109.13/14.08 fof(f1433,plain,(
% 109.13/14.08 $false|spl0_5),
% 109.13/14.08 inference(forward_subsumption_resolution,[status(thm)],[f1414,f1339])).
% 109.13/14.08 fof(f1434,plain,(
% 109.13/14.08 spl0_5),
% 109.13/14.08 inference(contradiction_clause,[status(thm)],[f1433])).
% 109.13/14.08 fof(f1435,plain,(
% 109.13/14.08 $false|spl0_1),
% 109.13/14.08 inference(forward_subsumption_resolution,[status(thm)],[f1399,f1338])).
% 109.13/14.08 fof(f1436,plain,(
% 109.13/14.08 spl0_1),
% 109.13/14.08 inference(contradiction_clause,[status(thm)],[f1435])).
% 109.13/14.08 fof(f1613,plain,(
% 109.13/14.08 spl0_24 <=> c_Option_Ooption_ONone(tc_Com_Ocom)=hAPP(c_Com_Obody,v_pn)),
% 109.13/14.08 introduced(split_symbol_definition)).
% 109.13/14.08 fof(f1614,plain,(
% 109.13/14.08 c_Option_Ooption_ONone(tc_Com_Ocom)=hAPP(c_Com_Obody,v_pn)|~spl0_24),
% 109.13/14.08 inference(component_clause,[status(thm)],[f1613])).
% 109.13/14.08 fof(f1665,plain,(
% 109.13/14.08 ![X0,X1,X2,X3]: (~hAPP(X0,X1)=hAPP(c_Option_Ooption_OSome(X2),X3)|~hAPP(X0,X1)=c_Option_Ooption_ONone(X2))),
% 109.13/14.08 inference(resolution,[status(thm)],[f1296,f794])).
% 109.13/14.08 fof(f1695,plain,(
% 109.13/14.08 ![X0,X1,X2]: (c_Set_Oimage(c_Option_Ooption_OSome(tc_Com_Ocom),c_Set_Oinsert(v_y,X0,X1),X1,X2)=c_Set_Oinsert(hAPP(c_Com_Obody,v_pn),c_Set_Oimage(c_Option_Ooption_OSome(tc_Com_Ocom),X0,X1,X2),X2))),
% 109.13/14.08 inference(paramodulation,[status(thm)],[f1341,f1011])).
% 109.13/14.08 fof(f1702,plain,(
% 109.13/14.08 ![X0,X1,X2,X3,X4]: (~c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))=c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,X0))),
% 109.13/14.08 inference(paramodulation,[status(thm)],[f1011,f973])).
% 109.13/14.08 fof(f1706,plain,(
% 109.13/14.08 ![X0,X1]: (c_Set_Oimage(c_Option_Ooption_OSome(tc_Com_Ocom),c_Set_Oinsert(v_y,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0),X0,X1)=c_Set_Oinsert(hAPP(c_Com_Obody,v_pn),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1))),
% 109.13/14.08 inference(paramodulation,[status(thm)],[f1335,f1695])).
% 109.13/14.08 fof(f1783,plain,(
% 109.13/14.08 ![X0,X1,X2]: (c_Set_Oinsert(hAPP(c_Com_Obody,v_pn),X0,X1)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Option_Ooption_OSome(tc_Com_Ocom),c_Set_Oinsert(v_y,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2,X1),X0,tc_fun(X1,tc_bool)))),
% 109.13/14.08 inference(paramodulation,[status(thm)],[f1706,f904])).
% 109.13/14.08 fof(f1850,plain,(
% 109.13/14.08 ![X0,X1,X2,X3,X4,X5,X6]: (~c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))=c_Set_Oimage(X1,c_Set_Oimage(X2,c_Set_Oinsert(X3,X4,X5),X5,X6),X6,X0))),
% 109.13/14.08 inference(paramodulation,[status(thm)],[f1011,f1702])).
% 109.13/14.08 fof(f1917,plain,(
% 109.13/14.08 ![X0,X1]: (c_Set_Oinsert(X0,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)))),
% 109.13/14.08 inference(paramodulation,[status(thm)],[f904,f562])).
% 109.13/14.08 fof(f2020,plain,(
% 109.13/14.08 ![X0]: (c_Set_Oinsert(hAPP(c_Com_Obody,v_pn),c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X0)=c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)))),
% 109.13/14.08 inference(paramodulation,[status(thm)],[f562,f1783])).
% 109.13/14.08 fof(f2033,plain,(
% 109.13/14.08 ![X0,X1,X2,X3,X4]: (~c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))=c_Set_Oimage(X1,c_Set_Oimage(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4,X0))),
% 109.13/14.08 inference(paramodulation,[status(thm)],[f2020,f1850])).
% 109.13/14.08 fof(f2423,plain,(
% 109.13/14.08 ![X0,X1,X2,X3,X4]: (~hAPP(c_COMBK(c_Option_Ooption_ONone(X0),X1,X2),X3)=hAPP(c_Option_Ooption_OSome(X0),X4))),
% 109.13/14.08 inference(resolution,[status(thm)],[f629,f1665])).
% 109.13/14.08 fof(f2424,plain,(
% 109.13/14.08 ![X0,X1]: (~c_Option_Ooption_ONone(X0)=hAPP(c_Option_Ooption_OSome(X0),X1))),
% 109.13/14.08 inference(forward_demodulation,[status(thm)],[f629,f2423])).
% 109.13/14.08 fof(f2437,plain,(
% 109.13/14.08 ![X0,X1,X2,X3]: (c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,X3),X3)=c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X2,tc_fun(X3,tc_bool)),X3))),
% 109.13/14.08 inference(paramodulation,[status(thm)],[f904,f566])).
% 109.13/14.08 fof(f2438,plain,(
% 109.13/14.08 ![X0,X1,X2,X3]: (c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,X3),X3)=c_Set_Oinsert(X1,c_Set_Oinsert(X0,X2,X3),X3))),
% 109.13/14.08 inference(forward_demodulation,[status(thm)],[f904,f2437])).
% 109.13/14.08 fof(f4616,plain,(
% 109.13/14.08 spl0_54 <=> X0=hAPP(c_Com_Obody,v_pn)),
% 109.13/14.08 introduced(split_symbol_definition)).
% 109.13/14.08 fof(f4617,plain,(
% 109.13/14.08 ![X0]: (X0=hAPP(c_Com_Obody,v_pn)|~spl0_54)),
% 109.13/14.08 inference(component_clause,[status(thm)],[f4616])).
% 109.13/14.08 fof(f4799,plain,(
% 109.13/14.08 ![X0,X1,X2,X3,X4]: (c_Set_Oinsert(X0,c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4),X4)=c_Set_Oinsert(X2,c_Set_Oinsert(X0,c_Set_Oinsert(X1,X3,X4),X4),X4))),
% 109.13/14.08 inference(paramodulation,[status(thm)],[f2438,f2438])).
% 109.13/14.08 fof(f5008,plain,(
% 109.13/14.08 ![X0,X1,X2,X3,X4]: (c_Set_Oinsert(X0,c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4),X4)=c_Set_Oinsert(X2,c_Set_Oinsert(X1,c_Set_Oinsert(X0,X3,X4),X4),X4))),
% 109.13/14.08 inference(paramodulation,[status(thm)],[f2438,f4799])).
% 109.13/14.08 fof(f5630,plain,(
% 109.13/14.08 ![X0]: (c_Lattices_Olower__semilattice__class_Oinf(X0,X0,tc_bool)=X0)),
% 109.13/14.08 inference(resolution,[status(thm)],[f1108,f1378])).
% 109.13/14.08 fof(f5633,plain,(
% 109.13/14.08 c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)|~spl0_4),
% 109.13/14.08 inference(resolution,[status(thm)],[f1136,f1410])).
% 109.13/14.08 fof(f5634,plain,(
% 109.13/14.08 c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)|~spl0_4),
% 109.13/14.08 inference(forward_demodulation,[status(thm)],[f1323,f5633])).
% 109.13/14.08 fof(f5635,plain,(
% 109.13/14.08 c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)|~spl0_4),
% 109.13/14.08 inference(forward_demodulation,[status(thm)],[f1323,f5634])).
% 109.13/14.08 fof(f5636,plain,(
% 109.13/14.08 c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Option_Othe(tc_Com_Ocom),c_Set_Oimage(c_Com_Obody,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom)),tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)|~spl0_4),
% 109.13/14.08 inference(forward_demodulation,[status(thm)],[f1323,f5635])).
% 109.13/14.08 fof(f14172,plain,(
% 109.13/14.08 spl0_109 <=> c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Com_Ostate)),
% 109.13/14.08 introduced(split_symbol_definition)).
% 109.13/14.08 fof(f14173,plain,(
% 109.13/14.08 ![X0]: (c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Com_Ostate)|~spl0_109)),
% 109.13/14.08 inference(component_clause,[status(thm)],[f14172])).
% 109.13/14.08 fof(f14607,plain,(
% 109.13/14.08 ![X0]: (c_lessequals(c_Orderings_Obot__class_Obot(tc_nat),X0,tc_nat))),
% 109.13/14.08 inference(resolution,[status(thm)],[f962,f1374])).
% 109.13/14.08 fof(f14690,plain,(
% 109.13/14.08 ~c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)),
% 109.13/14.08 inference(forward_demodulation,[status(thm)],[f1323,f1342])).
% 109.13/14.08 fof(f14704,plain,(
% 109.13/14.08 ![X0,X1]: (c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,tc_Com_Ostate)|~c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Otop__class_Otop(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),X1,tc_Com_Ostate)|~spl0_109)),
% 109.13/14.08 inference(resolution,[status(thm)],[f14173,f1325])).
% 109.13/14.08 fof(f14716,plain,(
% 109.13/14.08 spl0_128 <=> c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Otop__class_Otop(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)),
% 109.13/14.08 introduced(split_symbol_definition)).
% 109.13/14.08 fof(f14718,plain,(
% 109.13/14.08 ~c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Otop__class_Otop(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)|spl0_128),
% 109.13/14.08 inference(component_clause,[status(thm)],[f14716])).
% 109.13/14.08 fof(f14726,plain,(
% 109.13/14.08 ![X0,X1,X2]: (~c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Otop__class_Otop(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(X0,X1,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)|c_Hoare__Mirabelle_Ohoare__derivs(X2,X1,tc_Com_Ostate)|~spl0_109)),
% 109.13/14.08 inference(resolution,[status(thm)],[f14704,f1250])).
% 109.13/14.08 fof(f14797,plain,(
% 109.13/14.08 spl0_132 <=> ~c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Otop__class_Otop(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(X0,c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)),
% 109.13/14.08 introduced(split_symbol_definition)).
% 109.13/14.08 fof(f14798,plain,(
% 109.13/14.08 ![X0]: (~c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Otop__class_Otop(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(X0,c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)|~spl0_132)),
% 109.13/14.08 inference(component_clause,[status(thm)],[f14797])).
% 109.13/14.08 fof(f15936,plain,(
% 109.13/14.08 ![X0,X1,X2,X3]: (hBOOL(hAPP(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,X3),X3),X1)))),
% 109.13/14.08 inference(paramodulation,[status(thm)],[f2438,f1081])).
% 109.13/14.08 fof(f15938,plain,(
% 109.13/14.08 ![X0,X1]: (hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X1)))),
% 109.13/14.08 inference(paramodulation,[status(thm)],[f1917,f1081])).
% 109.13/14.08 fof(f17240,plain,(
% 109.13/14.08 ![X0,X1,X2,X3,X4]: (hBOOL(c_in(X0,c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Set_Oinsert(X0,X3,X4),X4),X4),X4)))),
% 109.13/14.08 inference(paramodulation,[status(thm)],[f5008,f618])).
% 109.13/14.08 fof(f17252,plain,(
% 109.13/14.08 ![X0]: (c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(tc_bool),X0,tc_bool)=X0)),
% 109.13/14.08 inference(resolution,[status(thm)],[f820,f1380])).
% 109.13/14.08 fof(f17263,plain,(
% 109.13/14.08 ![X0,X1,X2,X3]: (c_Map_Odom(X0,X1,X2)=c_Set_Oinsert(X3,c_Map_Odom(X0,X1,X2),X1)|hAPP(X0,X3)=c_Option_Ooption_ONone(X2))),
% 109.13/14.08 inference(paramodulation,[status(thm)],[f857,f624])).
% 109.13/14.08 fof(f17981,plain,(
% 109.13/14.08 ![X0]: (c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_bool),X0,tc_bool)=X0)),
% 109.13/14.08 inference(resolution,[status(thm)],[f954,f1380])).
% 109.13/14.08 fof(f18060,plain,(
% 109.13/14.08 ~hBOOL(c_Option_Ois__none(hAPP(c_Com_Obody,v_pn),tc_Com_Ocom))),
% 109.13/14.08 inference(paramodulation,[status(thm)],[f1341,f1208])).
% 109.13/14.08 fof(f20000,plain,(
% 109.13/14.08 ![X0]: (c_Finite__Set_Ofinite(c_Set_Oinsert(X0,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname),tc_Com_Opname))),
% 109.13/14.08 inference(resolution,[status(thm)],[f738,f1307])).
% 109.13/14.08 fof(f20876,plain,(
% 109.13/14.08 spl0_205 <=> c_Finite__Set_Ofinite(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname)),
% 109.13/14.08 introduced(split_symbol_definition)).
% 109.13/14.08 fof(f20879,plain,(
% 109.13/14.08 spl0_206 <=> hAPP(c_Com_Obody,X0)=c_Option_Ooption_ONone(tc_Com_Ocom)),
% 109.13/14.08 introduced(split_symbol_definition)).
% 109.13/14.08 fof(f20880,plain,(
% 109.13/14.08 ![X0]: (hAPP(c_Com_Obody,X0)=c_Option_Ooption_ONone(tc_Com_Ocom)|~spl0_206)),
% 109.13/14.08 inference(component_clause,[status(thm)],[f20879])).
% 109.13/14.08 fof(f20882,plain,(
% 109.13/14.08 ![X0]: (c_Finite__Set_Ofinite(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname)|hAPP(c_Com_Obody,X0)=c_Option_Ooption_ONone(tc_Com_Ocom))),
% 109.13/14.08 inference(paramodulation,[status(thm)],[f17263,f20000])).
% 109.13/14.08 fof(f20883,plain,(
% 109.13/14.08 spl0_205|spl0_206),
% 109.13/14.08 inference(split_clause,[status(thm)],[f20882,f20876,f20879])).
% 109.13/14.08 fof(f21123,plain,(
% 109.13/14.08 hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))=v_y),
% 109.13/14.08 inference(paramodulation,[status(thm)],[f1341,f1196])).
% 109.13/14.08 fof(f21169,plain,(
% 109.13/14.08 ![X0,X1,X2]: (~hBOOL(c_in(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)))),
% 109.13/14.08 inference(resolution,[status(thm)],[f628,f1326])).
% 109.13/14.08 fof(f21189,plain,(
% 109.13/14.08 ![X0,X1]: (c_Lattices_Olower__semilattice__class_Oinf(X0,X1,tc_nat)=c_Lattices_Olower__semilattice__class_Oinf(X1,X0,tc_nat))),
% 109.13/14.08 inference(resolution,[status(thm)],[f694,f1368])).
% 109.13/14.08 fof(f21213,plain,(
% 109.13/14.08 ~hBOOL(c_Option_Ois__none(c_Option_Ooption_ONone(tc_Com_Ocom),tc_Com_Ocom))|~spl0_206),
% 109.13/14.08 inference(backward_demodulation,[status(thm)],[f20880,f18060])).
% 109.13/14.08 fof(f21214,plain,(
% 109.13/14.08 $false|~spl0_206),
% 109.13/14.08 inference(forward_subsumption_resolution,[status(thm)],[f21213,f849])).
% 109.13/14.08 fof(f21215,plain,(
% 109.13/14.08 ~spl0_206),
% 109.13/14.08 inference(contradiction_clause,[status(thm)],[f21214])).
% 109.13/14.08 fof(f21581,plain,(
% 109.13/14.08 ![X0,X1]: (~hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))=hAPP(c_Option_Ooption_OSome(X0),X1)|~v_y=c_Option_Ooption_ONone(X0))),
% 109.13/14.08 inference(paramodulation,[status(thm)],[f21123,f1665])).
% 109.13/14.08 fof(f21582,plain,(
% 109.13/14.08 ![X0,X1]: (~v_y=hAPP(c_Option_Ooption_OSome(X0),X1)|~v_y=c_Option_Ooption_ONone(X0))),
% 109.13/14.08 inference(forward_demodulation,[status(thm)],[f21123,f21581])).
% 109.13/14.08 fof(f21708,plain,(
% 109.13/14.08 spl0_219 <=> ~c_Option_Ooption_ONone(X0)=c_Option_Ooption_ONone(X0)),
% 109.13/14.08 introduced(split_symbol_definition)).
% 109.13/14.08 fof(f21709,plain,(
% 109.13/14.08 ![X0]: (~c_Option_Ooption_ONone(X0)=c_Option_Ooption_ONone(X0)|~spl0_219)),
% 109.13/14.08 inference(component_clause,[status(thm)],[f21708])).
% 109.13/14.08 fof(f21716,plain,(
% 109.13/14.08 $false|~spl0_219),
% 109.13/14.08 inference(trivial_equality_resolution,[status(esa)],[f21709])).
% 109.13/14.08 fof(f21717,plain,(
% 109.13/14.08 ~spl0_219),
% 109.13/14.08 inference(contradiction_clause,[status(thm)],[f21716])).
% 109.13/14.08 fof(f21719,plain,(
% 109.13/14.08 ![X0,X1]: (c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Olower__semilattice__class_Oinf(X0,X1,tc_bool),tc_bool)=X0)),
% 109.13/14.08 inference(resolution,[status(thm)],[f826,f1383])).
% 109.13/14.08 fof(f21720,plain,(
% 109.13/14.08 ![X0,X1]: (c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Olower__semilattice__class_Oinf(X0,X1,tc_nat),tc_nat)=X0)),
% 109.13/14.08 inference(resolution,[status(thm)],[f826,f1372])).
% 109.13/14.08 fof(f21730,plain,(
% 109.13/14.08 ![X0,X1]: (c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Olower__semilattice__class_Oinf(X1,X0,tc_nat),tc_nat)=X0)),
% 109.13/14.08 inference(paramodulation,[status(thm)],[f21189,f21720])).
% 109.13/14.08 fof(f22575,plain,(
% 109.13/14.08 ![X0,X1]: (c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_nat)=c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_nat))),
% 109.13/14.08 inference(resolution,[status(thm)],[f894,f1367])).
% 109.13/14.08 fof(f22677,plain,(
% 109.13/14.08 ![X0,X1,X2]: (c_Set_Oinsert(X0,X1,X2)=X1|~hBOOL(hAPP(X1,X0)))),
% 109.13/14.08 inference(resolution,[status(thm)],[f903,f626])).
% 109.13/14.08 fof(f22679,plain,(
% 109.13/14.08 ![X0,X1,X2]: (c_Set_Oinsert(X0,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2)=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)))),
% 109.13/14.08 inference(resolution,[status(thm)],[f22677,f15938])).
% 109.13/14.08 fof(f22714,plain,(
% 109.13/14.08 ![X0,X1,X2,X3,X4]: (c_Set_Oinsert(X0,c_Set_Oinsert(X1,c_Set_Oinsert(X0,X2,X3),X3),X4)=c_Set_Oinsert(X1,c_Set_Oinsert(X0,X2,X3),X3))),
% 109.13/14.08 inference(resolution,[status(thm)],[f22677,f15936])).
% 109.13/14.08 fof(f22716,plain,(
% 109.13/14.08 ![X0,X1,X2]: (c_Set_Oinsert(X0,hAPP(c_fequal(X1),X0),X2)=hAPP(c_fequal(X1),X0))),
% 109.13/14.08 inference(resolution,[status(thm)],[f22677,f1391])).
% 109.13/14.08 fof(f22720,plain,(
% 109.13/14.08 ![X0,X1,X2,X3]: (c_Set_Oinsert(X0,X1,X2)=X1|~hBOOL(c_in(X0,X1,X3)))),
% 109.13/14.08 inference(resolution,[status(thm)],[f22677,f628])).
% 109.13/14.08 fof(f22741,plain,(
% 109.13/14.08 spl0_229 <=> c_Option_Othe(tc_Com_Ocom)=c_Option_Othe(tc_Com_Ocom)),
% 109.13/14.08 introduced(split_symbol_definition)).
% 109.13/14.08 fof(f22743,plain,(
% 109.13/14.08 ~c_Option_Othe(tc_Com_Ocom)=c_Option_Othe(tc_Com_Ocom)|spl0_229),
% 109.13/14.08 inference(component_clause,[status(thm)],[f22741])).
% 109.13/14.08 fof(f22749,plain,(
% 109.13/14.08 spl0_231 <=> c_Option_Ooption_OSome(tc_Com_Ocom)=c_Option_Ooption_OSome(tc_Com_Ocom)),
% 109.13/14.08 introduced(split_symbol_definition)).
% 109.13/14.08 fof(f22751,plain,(
% 109.13/14.08 ~c_Option_Ooption_OSome(tc_Com_Ocom)=c_Option_Ooption_OSome(tc_Com_Ocom)|spl0_231),
% 109.13/14.08 inference(component_clause,[status(thm)],[f22749])).
% 109.13/14.08 fof(f22757,plain,(
% 109.13/14.08 $false|spl0_231),
% 109.13/14.08 inference(trivial_equality_resolution,[status(esa)],[f22751])).
% 109.13/14.08 fof(f22758,plain,(
% 109.13/14.08 spl0_231),
% 109.13/14.08 inference(contradiction_clause,[status(thm)],[f22757])).
% 109.13/14.08 fof(f22759,plain,(
% 109.13/14.08 $false|spl0_229),
% 109.13/14.08 inference(trivial_equality_resolution,[status(esa)],[f22743])).
% 109.13/14.08 fof(f22760,plain,(
% 109.13/14.08 spl0_229),
% 109.13/14.08 inference(contradiction_clause,[status(thm)],[f22759])).
% 109.13/14.08 fof(f23388,plain,(
% 109.13/14.08 ![X0,X1,X2,X3,X4]: (hBOOL(c_in(X0,c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X4),X4),X4)))),
% 109.13/14.08 inference(paramodulation,[status(thm)],[f22679,f17240])).
% 109.13/14.08 fof(f23389,plain,(
% 109.13/14.08 ![X0,X1,X2,X3]: (hBOOL(c_in(X0,c_Set_Oinsert(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X3),X3)))),
% 109.13/14.08 inference(forward_demodulation,[status(thm)],[f22679,f23388])).
% 109.13/14.08 fof(f23390,plain,(
% 109.13/14.08 ![X0,X1,X2]: (hBOOL(c_in(X0,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2)))),
% 109.13/14.08 inference(forward_demodulation,[status(thm)],[f22679,f23389])).
% 109.13/14.08 fof(f23457,plain,(
% 109.13/14.08 ![X0,X1]: (~c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)))),
% 109.13/14.08 inference(paramodulation,[status(thm)],[f22679,f973])).
% 109.13/14.08 fof(f24133,plain,(
% 109.13/14.08 ![X0,X1,X2,X3]: (c_Finite__Set_Ofinite(c_Set_Oimage(X0,X1,X2,X3),X3)|~class_Finite__Set_Ofinite_Ofinite(X2))),
% 109.13/14.08 inference(resolution,[status(thm)],[f1013,f914])).
% 109.13/14.08 fof(f24135,plain,(
% 109.13/14.08 ![X0,X1,X2,X3]: (c_Finite__Set_Ofinite(c_Set_Oimage(X0,X1,tc_Option_Ooption(X2),X3),X3)|~class_Finite__Set_Ofinite_Ofinite(X2))),
% 109.13/14.08 inference(resolution,[status(thm)],[f24133,f1388])).
% 109.13/14.08 fof(f24136,plain,(
% 109.13/14.08 ![X0,X1,X2]: (c_Finite__Set_Ofinite(c_Set_Oimage(X0,X1,tc_bool,X2),X2))),
% 109.13/14.08 inference(resolution,[status(thm)],[f24133,f1381])).
% 109.13/14.08 fof(f24139,plain,(
% 109.13/14.08 ![X0,X1,X2,X3,X4]: (c_Finite__Set_Ofinite(c_Set_Oimage(X0,c_Set_Oimage(X1,X2,tc_bool,X3),X3,X4),X4))),
% 109.13/14.08 inference(paramodulation,[status(thm)],[f1323,f24136])).
% 109.13/14.08 fof(f24201,plain,(
% 109.13/14.08 ![X0,X1,X2]: (c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X0,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)))),
% 109.13/14.08 inference(paramodulation,[status(thm)],[f985,f645])).
% 109.13/14.08 fof(f24202,plain,(
% 109.13/14.08 ![X0,X1,X2]: (c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(X2,tc_bool)))),
% 109.13/14.08 inference(forward_demodulation,[status(thm)],[f985,f24201])).
% 109.13/14.08 fof(f24813,plain,(
% 109.13/14.08 ![X0,X1,X2,X3,X4,X5]: (c_Finite__Set_Ofinite(c_Set_Oinsert(X0,c_Set_Oimage(X1,c_Set_Oimage(X2,X3,tc_bool,X4),X4,X5),X5),X5))),
% 109.13/14.08 inference(resolution,[status(thm)],[f24139,f738])).
% 109.13/14.08 fof(f24933,plain,(
% 109.13/14.08 ![X0,X1,X2,X3]: (c_Finite__Set_Ofinite(c_Set_Oinsert(X0,c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),X3),X3))),
% 109.13/14.08 inference(paramodulation,[status(thm)],[f1335,f24813])).
% 109.13/14.08 fof(f24934,plain,(
% 109.13/14.08 ![X0,X1]: (c_Finite__Set_Ofinite(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1))),
% 109.13/14.08 inference(forward_demodulation,[status(thm)],[f1335,f24933])).
% 109.13/14.08 fof(f24936,plain,(
% 109.13/14.08 ![X0,X1,X2]: (c_Finite__Set_Ofinite(c_Set_Oinsert(X0,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),X2))),
% 109.13/14.08 inference(resolution,[status(thm)],[f24934,f738])).
% 109.13/14.08 fof(f26243,plain,(
% 109.13/14.08 ![X0,X1]: (c_Lattices_Olower__semilattice__class_Oinf(X0,X1,tc_nat)=X0|~c_lessequals(X0,X1,tc_nat))),
% 109.13/14.08 inference(resolution,[status(thm)],[f669,f1368])).
% 109.13/14.08 fof(f26280,plain,(
% 109.13/14.08 ![X0]: (c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_nat),X0,tc_nat)=c_Orderings_Obot__class_Obot(tc_nat))),
% 109.13/14.08 inference(resolution,[status(thm)],[f26243,f14607])).
% 109.13/14.08 fof(f26287,plain,(
% 109.13/14.08 ![X0]: (c_Lattices_Oupper__semilattice__class_Osup(X0,c_Orderings_Obot__class_Obot(tc_nat),tc_nat)=X0)),
% 109.13/14.08 inference(paramodulation,[status(thm)],[f26280,f21730])).
% 109.13/14.08 fof(f26293,plain,(
% 109.13/14.08 ![X0]: (c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_nat),X0,tc_nat)=X0)),
% 109.13/14.08 inference(paramodulation,[status(thm)],[f22575,f26287])).
% 109.13/14.08 fof(f29016,plain,(
% 109.13/14.08 ![X0,X1,X2,X3]: (c_Set_Oinsert(X0,c_Set_Oinsert(X0,X1,X2),X3)=c_Set_Oinsert(X0,c_Set_Oinsert(X0,X1,X2),X2))),
% 109.13/14.08 inference(paramodulation,[status(thm)],[f725,f22714])).
% 109.13/14.08 fof(f29017,plain,(
% 109.13/14.08 ![X0,X1,X2,X3]: (c_Set_Oinsert(X0,c_Set_Oinsert(X0,X1,X2),X3)=c_Set_Oinsert(X0,X1,X2))),
% 109.13/14.08 inference(forward_demodulation,[status(thm)],[f725,f29016])).
% 109.13/14.08 fof(f29467,plain,(
% 109.13/14.08 ![X0,X1,X2,X3]: (hBOOL(c_in(X0,c_Set_Oinsert(X0,X1,X2),X3)))),
% 109.13/14.08 inference(paramodulation,[status(thm)],[f29017,f618])).
% 109.13/14.08 fof(f29490,plain,(
% 109.13/14.08 ![X0,X1,X2,X3]: (~c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))=c_Set_Oinsert(X1,X2,X3))),
% 109.13/14.08 inference(paramodulation,[status(thm)],[f29017,f973])).
% 109.13/14.08 fof(f29797,plain,(
% 109.13/14.08 ![X0,X1,X2,X3,X4,X5]: (~c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))=c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,X5))),
% 109.13/14.08 inference(paramodulation,[status(thm)],[f1011,f29490])).
% 109.13/14.08 fof(f30364,plain,(
% 109.13/14.08 spl0_280 <=> hAPP(c_Hoare__Mirabelle_OMGT,v_c)=hAPP(c_Hoare__Mirabelle_OMGT,v_c)),
% 109.13/14.08 introduced(split_symbol_definition)).
% 109.13/14.08 fof(f30366,plain,(
% 109.13/14.08 ~hAPP(c_Hoare__Mirabelle_OMGT,v_c)=hAPP(c_Hoare__Mirabelle_OMGT,v_c)|spl0_280),
% 109.13/14.08 inference(component_clause,[status(thm)],[f30364])).
% 109.13/14.08 fof(f30372,plain,(
% 109.13/14.08 $false|spl0_280),
% 109.13/14.08 inference(trivial_equality_resolution,[status(esa)],[f30366])).
% 109.13/14.08 fof(f30373,plain,(
% 109.13/14.08 spl0_280),
% 109.13/14.08 inference(contradiction_clause,[status(thm)],[f30372])).
% 109.13/14.08 fof(f30732,plain,(
% 109.13/14.08 ![X0,X1,X2,X3]: (c_Finite__Set_Ofinite(c_Set_Oimage(X0,X1,tc_Option_Ooption(tc_Option_Ooption(X2)),X3),X3)|~class_Finite__Set_Ofinite_Ofinite(X2))),
% 109.13/14.08 inference(resolution,[status(thm)],[f24135,f1388])).
% 109.13/14.08 fof(f30791,plain,(
% 109.13/14.08 ![X0,X1,X2]: (c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),X1,X2))),
% 109.13/14.08 inference(resolution,[status(thm)],[f674,f1256])).
% 109.13/14.08 fof(f31356,plain,(
% 109.13/14.08 ![X0,X1]: (c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Otop__class_Otop(tc_fun(tc_Hoare__Mirabelle_Otriple(X0),tc_bool)),X1,X0))),
% 109.13/14.08 inference(paramodulation,[status(thm)],[f561,f30791])).
% 109.13/14.08 fof(f31368,plain,(
% 109.13/14.08 ![X0,X1]: (c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,tc_Com_Ostate)|~spl0_109)),
% 109.13/14.08 inference(backward_subsumption_resolution,[status(thm)],[f14726,f31356])).
% 109.13/14.08 fof(f31482,plain,(
% 109.13/14.08 ![X0,X1,X2,X3,X4]: (~c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))=c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X3,X4))),
% 109.13/14.08 inference(paramodulation,[status(thm)],[f22679,f29797])).
% 109.13/14.08 fof(f31882,plain,(
% 109.13/14.08 $false|~spl0_109),
% 109.13/14.08 inference(backward_subsumption_resolution,[status(thm)],[f14690,f31368])).
% 109.13/14.08 fof(f31883,plain,(
% 109.13/14.08 ~spl0_109),
% 109.13/14.08 inference(contradiction_clause,[status(thm)],[f31882])).
% 109.13/14.08 fof(f38665,plain,(
% 109.13/14.08 ![X0,X1,X2]: (c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,tc_fun(X2,tc_bool)),X0,tc_fun(X2,tc_bool)))),
% 109.13/14.08 inference(paramodulation,[status(thm)],[f822,f609])).
% 109.13/14.08 fof(f38666,plain,(
% 109.13/14.08 ![X0,X1,X2]: (c_Lattices_Olower__semilattice__class_Oinf(X0,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X0,X2,tc_fun(X1,tc_bool)),X0,tc_fun(X1,tc_bool)))),
% 109.13/14.08 inference(forward_demodulation,[status(thm)],[f562,f38665])).
% 109.13/14.08 fof(f38667,plain,(
% 109.13/14.08 ![X0,X1,X2]: (X0=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,tc_fun(X2,tc_bool)),X0,tc_fun(X2,tc_bool)))),
% 109.13/14.08 inference(forward_demodulation,[status(thm)],[f822,f38666])).
% 109.13/14.08 fof(f38668,plain,(
% 109.13/14.08 ![X0,X1,X2]: (X0=c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Olower__semilattice__class_Oinf(X0,X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)))),
% 109.13/14.08 inference(forward_demodulation,[status(thm)],[f24202,f38667])).
% 109.13/14.08 fof(f39165,plain,(
% 109.13/14.08 $false|spl0_128),
% 109.13/14.08 inference(forward_subsumption_resolution,[status(thm)],[f14718,f31356])).
% 109.13/14.08 fof(f39166,plain,(
% 109.13/14.08 spl0_128),
% 109.13/14.08 inference(contradiction_clause,[status(thm)],[f39165])).
% 109.13/14.08 fof(f39173,plain,(
% 109.13/14.08 $false|~spl0_132),
% 109.13/14.08 inference(forward_subsumption_resolution,[status(thm)],[f14798,f31356])).
% 109.13/14.08 fof(f39174,plain,(
% 109.13/14.08 ~spl0_132),
% 109.13/14.08 inference(contradiction_clause,[status(thm)],[f39173])).
% 109.13/14.08 fof(f39193,plain,(
% 109.13/14.08 spl0_368 <=> X0=v_y),
% 109.13/14.08 introduced(split_symbol_definition)).
% 109.13/14.08 fof(f39194,plain,(
% 109.13/14.08 ![X0]: (X0=v_y|~spl0_368)),
% 109.13/14.08 inference(component_clause,[status(thm)],[f39193])).
% 109.13/14.08 fof(f40032,plain,(
% 109.13/14.08 ![X0]: (c_Orderings_Obot__class_Obot(tc_bool)=c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_bool),X0,tc_bool))),
% 109.13/14.08 inference(paramodulation,[status(thm)],[f21719,f17981])).
% 109.13/14.08 fof(f40139,plain,(
% 109.13/14.08 ![X0]: (~v_y=c_Option_Ooption_ONone(X0)|~spl0_368)),
% 109.13/14.08 inference(backward_subsumption_resolution,[status(thm)],[f21582,f39194])).
% 109.13/14.08 fof(f40140,plain,(
% 109.13/14.08 $false|~spl0_368),
% 109.13/14.08 inference(forward_subsumption_resolution,[status(thm)],[f40139,f39194])).
% 109.13/14.08 fof(f40141,plain,(
% 109.13/14.08 ~spl0_368),
% 109.13/14.08 inference(contradiction_clause,[status(thm)],[f40140])).
% 109.13/14.08 fof(f43633,plain,(
% 109.13/14.08 ![X0,X1,X2,X3]: (hBOOL(hAPP(X0,X1))|~hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0,X2,tc_fun(X3,tc_bool)),X1)))),
% 109.13/14.08 inference(paramodulation,[status(thm)],[f38668,f775])).
% 109.13/14.08 fof(f43909,plain,(
% 109.13/14.08 ![X0,X1,X2,X3,X4]: (hBOOL(hAPP(X0,X1))|~hBOOL(c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X0,X2,tc_fun(X3,tc_bool)),X4)))),
% 109.13/14.08 inference(resolution,[status(thm)],[f43633,f628])).
% 109.13/14.08 fof(f45372,plain,(
% 109.13/14.08 spl0_397 <=> hAPP(X2,X3)=c_Option_Ooption_ONone(X4)|hAPP(X2,X5)=c_Option_Ooption_ONone(X4)),
% 109.13/14.08 introduced(split_symbol_definition)).
% 109.13/14.08 fof(f45373,plain,(
% 109.13/14.08 ![X0,X1,X2,X3]: (hAPP(X0,X1)=c_Option_Ooption_ONone(X2)|hAPP(X0,X3)=c_Option_Ooption_ONone(X2)|~spl0_397)),
% 109.13/14.08 inference(component_clause,[status(thm)],[f45372])).
% 109.13/14.08 fof(f45426,plain,(
% 109.13/14.08 spl0_407 <=> hAPP(X2,X3)=c_Option_Ooption_ONone(X4)),
% 109.13/14.08 introduced(split_symbol_definition)).
% 109.13/14.08 fof(f45427,plain,(
% 109.13/14.08 ![X0,X1,X2]: (hAPP(X0,X1)=c_Option_Ooption_ONone(X2)|~spl0_407)),
% 109.13/14.08 inference(component_clause,[status(thm)],[f45426])).
% 109.13/14.08 fof(f45666,plain,(
% 109.13/14.08 ~c_Option_Ooption_ONone(tc_Com_Ocom)=hAPP(c_Com_Obody,v_pn)),
% 109.13/14.08 inference(paramodulation,[status(thm)],[f1341,f2424])).
% 109.13/14.08 fof(f46171,plain,(
% 109.13/14.08 $false|~spl0_407),
% 109.13/14.08 inference(backward_subsumption_resolution,[status(thm)],[f2424,f45427])).
% 109.13/14.08 fof(f46172,plain,(
% 109.13/14.08 ~spl0_407),
% 109.13/14.08 inference(contradiction_clause,[status(thm)],[f46171])).
% 109.13/14.08 fof(f46700,plain,(
% 109.13/14.08 ![X0,X1,X2]: (~c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))=hAPP(c_fequal(X1),X2))),
% 109.13/14.08 inference(paramodulation,[status(thm)],[f22716,f29490])).
% 109.13/14.08 fof(f46701,plain,(
% 109.13/14.08 ![X0,X1,X2]: (hBOOL(c_in(X0,hAPP(c_fequal(X1),X0),X2)))),
% 109.13/14.08 inference(paramodulation,[status(thm)],[f22716,f29467])).
% 109.13/14.08 fof(f46764,plain,(
% 109.13/14.08 ![X0,X1,X2]: (c_Finite__Set_Ofinite(c_Set_Oimage(X0,X1,tc_Option_Ooption(tc_Option_Ooption(tc_bool)),X2),X2))),
% 109.13/14.08 inference(resolution,[status(thm)],[f30732,f1381])).
% 109.13/14.08 fof(f46780,plain,(
% 109.13/14.08 ![X0,X1,X2,X3,X4]: (c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(X0,X1,tc_Option_Ooption(tc_Option_Ooption(tc_bool)),X2,X3),X4,X3,X2),X2))),
% 109.13/14.08 inference(paramodulation,[status(thm)],[f1323,f46764])).
% 109.13/14.08 fof(f46839,plain,(
% 109.13/14.08 ![X0,X1,X2,X3,X4,X5]: (~c_Fun_Ofun__upd(X0,X1,X2,X3,X4)=c_Fun_Ofun__upd(X0,X1,X5,X3,X4)|hAPP(c_Fun_Ofun__upd(X0,X1,X5,X3,X4),X1)=X2)),
% 109.13/14.08 inference(paramodulation,[status(thm)],[f814,f929])).
% 109.13/14.08 fof(f46840,plain,(
% 109.13/14.08 ![X0,X1,X2,X3,X4,X5]: (~c_Fun_Ofun__upd(X0,X1,X2,X3,X4)=c_Fun_Ofun__upd(X0,X1,X5,X3,X4)|X5=X2)),
% 109.13/14.08 inference(forward_demodulation,[status(thm)],[f858,f46839])).
% 109.13/14.08 fof(f47906,plain,(
% 109.13/14.08 spl0_454 <=> c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_bool),c_Orderings_Obot__class_Obot(tc_bool),tc_bool)=c_Orderings_Obot__class_Obot(tc_bool)),
% 109.13/14.08 introduced(split_symbol_definition)).
% 109.13/14.08 fof(f47908,plain,(
% 109.13/14.08 ~c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_bool),c_Orderings_Obot__class_Obot(tc_bool),tc_bool)=c_Orderings_Obot__class_Obot(tc_bool)|spl0_454),
% 109.13/14.08 inference(component_clause,[status(thm)],[f47906])).
% 109.13/14.08 fof(f47931,plain,(
% 109.13/14.08 spl0_457 <=> c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_bool),c_Orderings_Obot__class_Obot(tc_bool),tc_bool)=c_Orderings_Obot__class_Obot(tc_bool)),
% 109.13/14.08 introduced(split_symbol_definition)).
% 109.13/14.08 fof(f47933,plain,(
% 109.13/14.08 ~c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_bool),c_Orderings_Obot__class_Obot(tc_bool),tc_bool)=c_Orderings_Obot__class_Obot(tc_bool)|spl0_457),
% 109.13/14.08 inference(component_clause,[status(thm)],[f47931])).
% 109.13/14.08 fof(f47937,plain,(
% 109.13/14.08 spl0_458 <=> c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(tc_bool),c_Orderings_Otop__class_Otop(tc_bool),tc_bool)=c_Orderings_Otop__class_Otop(tc_bool)),
% 109.13/14.08 introduced(split_symbol_definition)).
% 109.13/14.08 fof(f47939,plain,(
% 109.13/14.08 ~c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(tc_bool),c_Orderings_Otop__class_Otop(tc_bool),tc_bool)=c_Orderings_Otop__class_Otop(tc_bool)|spl0_458),
% 109.13/14.08 inference(component_clause,[status(thm)],[f47937])).
% 109.13/14.08 fof(f47989,plain,(
% 109.13/14.08 spl0_461 <=> c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_nat),c_Orderings_Obot__class_Obot(tc_nat),tc_nat)=c_Orderings_Obot__class_Obot(tc_nat)),
% 109.13/14.08 introduced(split_symbol_definition)).
% 109.13/14.08 fof(f47991,plain,(
% 109.13/14.08 ~c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_nat),c_Orderings_Obot__class_Obot(tc_nat),tc_nat)=c_Orderings_Obot__class_Obot(tc_nat)|spl0_461),
% 109.13/14.08 inference(component_clause,[status(thm)],[f47989])).
% 109.13/14.08 fof(f48001,plain,(
% 109.13/14.08 ~c_Orderings_Obot__class_Obot(tc_nat)=c_Orderings_Obot__class_Obot(tc_nat)|spl0_461),
% 109.13/14.08 inference(forward_demodulation,[status(thm)],[f26293,f47991])).
% 109.13/14.08 fof(f48002,plain,(
% 109.13/14.08 $false|spl0_461),
% 109.13/14.08 inference(trivial_equality_resolution,[status(esa)],[f48001])).
% 109.13/14.08 fof(f48003,plain,(
% 109.13/14.08 spl0_461),
% 109.13/14.08 inference(contradiction_clause,[status(thm)],[f48002])).
% 109.13/14.08 fof(f48033,plain,(
% 109.13/14.08 spl0_463 <=> c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_nat),c_Orderings_Obot__class_Obot(tc_nat),tc_nat)=c_Orderings_Obot__class_Obot(tc_nat)),
% 109.13/14.08 introduced(split_symbol_definition)).
% 109.13/14.08 fof(f48035,plain,(
% 109.13/14.08 ~c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_nat),c_Orderings_Obot__class_Obot(tc_nat),tc_nat)=c_Orderings_Obot__class_Obot(tc_nat)|spl0_463),
% 109.13/14.08 inference(component_clause,[status(thm)],[f48033])).
% 109.13/14.08 fof(f48072,plain,(
% 109.13/14.08 hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,tc_bool)),v_x)=c_Orderings_Otop__class_Otop(tc_bool)),
% 109.13/14.08 inference(resolution,[status(thm)],[f829,f1385])).
% 109.13/14.08 fof(f48806,plain,(
% 109.13/14.08 spl0_467 <=> X0=X0),
% 109.13/14.08 introduced(split_symbol_definition)).
% 109.13/14.08 fof(f48809,plain,(
% 109.13/14.08 ![X0,X1]: (X0=X0|X1=X1)),
% 109.13/14.08 inference(resolution,[status(thm)],[f46840,f769])).
% 109.13/14.08 fof(f48810,plain,(
% 109.13/14.08 spl0_467),
% 109.13/14.08 inference(split_clause,[status(thm)],[f48809,f48806])).
% 109.13/14.08 fof(f49052,plain,(
% 109.13/14.08 $false|~spl0_24),
% 109.13/14.08 inference(forward_subsumption_resolution,[status(thm)],[f1614,f45666])).
% 109.13/14.08 fof(f49053,plain,(
% 109.13/14.08 ~spl0_24),
% 109.13/14.08 inference(contradiction_clause,[status(thm)],[f49052])).
% 109.13/14.08 fof(f49194,plain,(
% 109.13/14.08 ![X0,X1,X2,X3,X4]: (hBOOL(hAPP(X0,X1))|~hBOOL(c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X0,tc_fun(X3,tc_bool)),X4)))),
% 109.13/14.08 inference(paramodulation,[status(thm)],[f692,f43909])).
% 109.13/14.08 fof(f49383,plain,(
% 109.13/14.08 ![X0,X1]: (~hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,tc_bool)),v_x)=hAPP(c_Option_Ooption_OSome(X0),X1)|~c_Orderings_Otop__class_Otop(tc_bool)=c_Option_Ooption_ONone(X0))),
% 109.13/14.08 inference(paramodulation,[status(thm)],[f48072,f1665])).
% 109.13/14.08 fof(f49384,plain,(
% 109.13/14.08 ![X0,X1]: (~c_Orderings_Otop__class_Otop(tc_bool)=hAPP(c_Option_Ooption_OSome(X0),X1)|~c_Orderings_Otop__class_Otop(tc_bool)=c_Option_Ooption_ONone(X0))),
% 109.13/14.08 inference(forward_demodulation,[status(thm)],[f48072,f49383])).
% 109.13/14.08 fof(f49435,plain,(
% 109.13/14.08 spl0_475 <=> ~hBOOL(c_in(v_x,c_Orderings_Otop__class_Otop(tc_fun(t_a,tc_bool)),X0))),
% 109.13/14.08 introduced(split_symbol_definition)).
% 109.13/14.08 fof(f49436,plain,(
% 109.13/14.08 ![X0]: (~hBOOL(c_in(v_x,c_Orderings_Otop__class_Otop(tc_fun(t_a,tc_bool)),X0))|~spl0_475)),
% 109.13/14.08 inference(component_clause,[status(thm)],[f49435])).
% 109.13/14.08 fof(f49661,plain,(
% 109.13/14.08 spl0_484 <=> c_Set_Oinsert(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),X0)=c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool))),
% 109.13/14.08 introduced(split_symbol_definition)).
% 109.13/14.08 fof(f49662,plain,(
% 109.13/14.08 ![X0]: (c_Set_Oinsert(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),X0)=c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool))|~spl0_484)),
% 109.13/14.08 inference(component_clause,[status(thm)],[f49661])).
% 109.13/14.08 fof(f50157,plain,(
% 109.13/14.08 spl0_491 <=> ~c_Finite__Set_Ofinite(c_Set_Oinsert(X0,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),X2)),
% 109.13/14.08 introduced(split_symbol_definition)).
% 109.13/14.08 fof(f50158,plain,(
% 109.13/14.08 ![X0,X1,X2]: (~c_Finite__Set_Ofinite(c_Set_Oinsert(X0,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),X2)|~spl0_491)),
% 109.13/14.08 inference(component_clause,[status(thm)],[f50157])).
% 109.13/14.08 fof(f50165,plain,(
% 109.13/14.08 $false|~spl0_491),
% 109.13/14.08 inference(forward_subsumption_resolution,[status(thm)],[f50158,f24936])).
% 109.13/14.08 fof(f50166,plain,(
% 109.13/14.08 ~spl0_491),
% 109.13/14.08 inference(contradiction_clause,[status(thm)],[f50165])).
% 109.13/14.08 fof(f50238,plain,(
% 109.13/14.08 $false|~spl0_475),
% 109.13/14.08 inference(forward_subsumption_resolution,[status(thm)],[f49436,f23390])).
% 109.13/14.08 fof(f50239,plain,(
% 109.13/14.08 ~spl0_475),
% 109.13/14.08 inference(contradiction_clause,[status(thm)],[f50238])).
% 109.13/14.08 fof(f50503,plain,(
% 109.13/14.08 spl0_501 <=> hBOOL(hAPP(X0,v_y))),
% 109.13/14.08 introduced(split_symbol_definition)).
% 109.13/14.08 fof(f50504,plain,(
% 109.13/14.08 ![X0]: (hBOOL(hAPP(X0,v_y))|~spl0_501)),
% 109.13/14.08 inference(component_clause,[status(thm)],[f50503])).
% 109.13/14.08 fof(f50541,plain,(
% 109.13/14.08 ~c_Orderings_Obot__class_Obot(tc_nat)=c_Orderings_Obot__class_Obot(tc_nat)|spl0_463),
% 109.13/14.08 inference(forward_demodulation,[status(thm)],[f26280,f48035])).
% 109.13/14.08 fof(f50542,plain,(
% 109.13/14.08 $false|spl0_463),
% 109.13/14.08 inference(trivial_equality_resolution,[status(esa)],[f50541])).
% 109.13/14.08 fof(f50543,plain,(
% 109.13/14.08 spl0_463),
% 109.13/14.08 inference(contradiction_clause,[status(thm)],[f50542])).
% 109.13/14.08 fof(f50544,plain,(
% 109.13/14.08 ~c_Orderings_Obot__class_Obot(tc_bool)=c_Orderings_Obot__class_Obot(tc_bool)|spl0_457),
% 109.13/14.08 inference(forward_demodulation,[status(thm)],[f40032,f47933])).
% 109.13/14.08 fof(f50545,plain,(
% 109.13/14.08 $false|spl0_457),
% 109.13/14.08 inference(trivial_equality_resolution,[status(esa)],[f50544])).
% 109.13/14.08 fof(f50546,plain,(
% 109.13/14.08 spl0_457),
% 109.13/14.08 inference(contradiction_clause,[status(thm)],[f50545])).
% 109.13/14.08 fof(f50550,plain,(
% 109.13/14.08 ~c_Orderings_Obot__class_Obot(tc_bool)=c_Orderings_Obot__class_Obot(tc_bool)|spl0_454),
% 109.13/14.08 inference(forward_demodulation,[status(thm)],[f17981,f47908])).
% 109.13/14.08 fof(f50551,plain,(
% 109.13/14.08 $false|spl0_454),
% 109.13/14.08 inference(trivial_equality_resolution,[status(esa)],[f50550])).
% 109.13/14.08 fof(f50552,plain,(
% 109.13/14.08 spl0_454),
% 109.13/14.08 inference(contradiction_clause,[status(thm)],[f50551])).
% 109.13/14.08 fof(f50553,plain,(
% 109.13/14.08 ~c_Orderings_Otop__class_Otop(tc_bool)=c_Orderings_Otop__class_Otop(tc_bool)|spl0_458),
% 109.13/14.08 inference(forward_demodulation,[status(thm)],[f17252,f47939])).
% 109.13/14.08 fof(f50554,plain,(
% 109.13/14.08 $false|spl0_458),
% 109.13/14.08 inference(trivial_equality_resolution,[status(esa)],[f50553])).
% 109.13/14.08 fof(f50555,plain,(
% 109.13/14.08 spl0_458),
% 109.13/14.08 inference(contradiction_clause,[status(thm)],[f50554])).
% 109.13/14.08 fof(f50561,plain,(
% 109.13/14.08 ![X0]: (~c_Orderings_Otop__class_Otop(tc_bool)=c_Option_Ooption_ONone(X0)|~spl0_8)),
% 109.13/14.08 inference(backward_subsumption_resolution,[status(thm)],[f49384,f1425])).
% 109.13/14.08 fof(f50562,plain,(
% 109.13/14.08 $false|~spl0_8),
% 109.13/14.08 inference(forward_subsumption_resolution,[status(thm)],[f50561,f1425])).
% 109.13/14.08 fof(f50563,plain,(
% 109.13/14.08 ~spl0_8),
% 109.13/14.08 inference(contradiction_clause,[status(thm)],[f50562])).
% 109.13/14.08 fof(f50867,plain,(
% 109.13/14.08 ![X0,X1]: (hAPP(c_Option_Ooption_OSome(X0),X1)=c_Option_Ooption_ONone(X0)|~spl0_397)),
% 109.13/14.08 inference(resolution,[status(thm)],[f45373,f2424])).
% 109.13/14.08 fof(f50868,plain,(
% 109.13/14.08 $false|~spl0_397),
% 109.13/14.08 inference(forward_subsumption_resolution,[status(thm)],[f50867,f2424])).
% 109.13/14.08 fof(f50869,plain,(
% 109.13/14.08 ~spl0_397),
% 109.13/14.08 inference(contradiction_clause,[status(thm)],[f50868])).
% 109.13/14.08 fof(f50977,plain,(
% 109.13/14.08 spl0_507 <=> hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),v_y))),
% 109.13/14.08 introduced(split_symbol_definition)).
% 109.13/14.08 fof(f50978,plain,(
% 109.13/14.08 ![X0]: (hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),v_y))|~spl0_507)),
% 109.13/14.08 inference(component_clause,[status(thm)],[f50977])).
% 109.13/14.08 fof(f50992,plain,(
% 109.13/14.08 $false|~spl0_507),
% 109.13/14.08 inference(forward_subsumption_resolution,[status(thm)],[f50978,f1326])).
% 109.13/14.08 fof(f50993,plain,(
% 109.13/14.08 ~spl0_507),
% 109.13/14.08 inference(contradiction_clause,[status(thm)],[f50992])).
% 109.13/14.08 fof(f53336,plain,(
% 109.13/14.08 spl0_517 <=> ~hAPP(c_Hoare__Mirabelle_OMGT,v_c)=hAPP(c_Hoare__Mirabelle_OMGT,X0)),
% 109.13/14.08 introduced(split_symbol_definition)).
% 109.13/14.08 fof(f53337,plain,(
% 109.13/14.08 ![X0]: (~hAPP(c_Hoare__Mirabelle_OMGT,v_c)=hAPP(c_Hoare__Mirabelle_OMGT,X0)|~spl0_517)),
% 109.13/14.08 inference(component_clause,[status(thm)],[f53336])).
% 109.13/14.08 fof(f54288,plain,(
% 109.13/14.08 ![X0,X1,X2]: (hBOOL(hAPP(X0,X1))|~hBOOL(c_in(X1,X0,X2)))),
% 109.13/14.08 inference(paramodulation,[status(thm)],[f1109,f49194])).
% 109.13/14.08 fof(f54487,plain,(
% 109.13/14.08 ![X0,X1,X2]: (c_Set_Oinsert(X0,hAPP(c_fequal(X1),X0),X2)=hAPP(c_fequal(X1),X0))),
% 109.13/14.08 inference(resolution,[status(thm)],[f22720,f46701])).
% 109.13/14.08 fof(f55386,plain,(
% 109.13/14.08 spl0_535 <=> ~hBOOL(c_in(v_x,hAPP(c_fequal(tc_Option_Ooption(t_a)),v_x),X0))),
% 109.13/14.08 introduced(split_symbol_definition)).
% 109.13/14.08 fof(f55387,plain,(
% 109.13/14.08 ![X0]: (~hBOOL(c_in(v_x,hAPP(c_fequal(tc_Option_Ooption(t_a)),v_x),X0))|~spl0_535)),
% 109.13/14.08 inference(component_clause,[status(thm)],[f55386])).
% 109.13/14.08 fof(f55698,plain,(
% 109.13/14.08 $false|~spl0_517),
% 109.13/14.08 inference(equality_resolution,[status(esa)],[f53337])).
% 109.13/14.08 fof(f55699,plain,(
% 109.13/14.08 ~spl0_517),
% 109.13/14.08 inference(contradiction_clause,[status(thm)],[f55698])).
% 109.13/14.08 fof(f56311,plain,(
% 109.13/14.08 $false|~spl0_54),
% 109.13/14.08 inference(backward_subsumption_resolution,[status(thm)],[f45666,f4617])).
% 109.13/14.08 fof(f56312,plain,(
% 109.13/14.08 ~spl0_54),
% 109.13/14.08 inference(contradiction_clause,[status(thm)],[f56311])).
% 109.13/14.08 fof(f57039,plain,(
% 109.13/14.08 spl0_551 <=> c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))=c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0)),
% 109.13/14.08 introduced(split_symbol_definition)).
% 109.13/14.08 fof(f57040,plain,(
% 109.13/14.08 ![X0,X1]: (c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))=c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0)|~spl0_551)),
% 109.13/14.08 inference(component_clause,[status(thm)],[f57039])).
% 109.13/14.08 fof(f57049,plain,(
% 109.13/14.08 spl0_553 <=> hAPP(c_fequal(X3),X4)=c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))),
% 109.13/14.08 introduced(split_symbol_definition)).
% 109.13/14.08 fof(f57050,plain,(
% 109.13/14.08 ![X0,X1,X2]: (hAPP(c_fequal(X0),X1)=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|~spl0_553)),
% 109.13/14.08 inference(component_clause,[status(thm)],[f57049])).
% 109.13/14.08 fof(f57061,plain,(
% 109.13/14.08 spl0_555 <=> c_Set_Oinsert(X1,X2,X3)=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))),
% 109.13/14.08 introduced(split_symbol_definition)).
% 109.13/14.08 fof(f57062,plain,(
% 109.13/14.08 ![X0,X1,X2]: (c_Set_Oinsert(X0,X1,X2)=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|~spl0_555)),
% 109.13/14.08 inference(component_clause,[status(thm)],[f57061])).
% 109.13/14.08 fof(f57066,plain,(
% 109.13/14.08 spl0_556 <=> c_Set_Oinsert(X2,X3,X4)=c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))),
% 109.13/14.08 introduced(split_symbol_definition)).
% 109.13/14.08 fof(f57067,plain,(
% 109.13/14.08 ![X0,X1,X2,X3]: (c_Set_Oinsert(X0,X1,X2)=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~spl0_556)),
% 109.13/14.08 inference(component_clause,[status(thm)],[f57066])).
% 109.13/14.08 fof(f57073,plain,(
% 109.13/14.08 spl0_557 <=> c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),
% 109.13/14.08 introduced(split_symbol_definition)).
% 109.13/14.08 fof(f57074,plain,(
% 109.13/14.08 ![X0]: (c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))|~spl0_557)),
% 109.13/14.08 inference(component_clause,[status(thm)],[f57073])).
% 109.13/14.08 fof(f57078,plain,(
% 109.13/14.08 spl0_558 <=> c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))),
% 109.13/14.08 introduced(split_symbol_definition)).
% 109.13/14.08 fof(f57079,plain,(
% 109.13/14.08 ![X0,X1]: (c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|~spl0_558)),
% 109.13/14.08 inference(component_clause,[status(thm)],[f57078])).
% 109.13/14.08 fof(f57129,plain,(
% 109.13/14.08 spl0_562 <=> ~c_Finite__Set_Ofinite(c_Set_Oimage(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4)|c_Set_Oimage(c_COMBB(X5,X2,X4,X6,X3),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X6)=c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool))),
% 109.13/14.08 introduced(split_symbol_definition)).
% 109.13/14.08 fof(f57130,plain,(
% 109.13/14.08 ![X0,X1,X2,X3,X4]: (~c_Finite__Set_Ofinite(c_Set_Oimage(X0,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X2),X2)|c_Set_Oimage(c_COMBB(X3,X0,X2,X4,X1),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X4)=c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))|~spl0_562)),
% 109.13/14.08 inference(component_clause,[status(thm)],[f57129])).
% 109.13/14.09 fof(f57134,plain,(
% 109.13/14.09 spl0_563 <=> c_Set_Oimage(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4)=c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))),
% 109.13/14.09 introduced(split_symbol_definition)).
% 109.13/14.09 fof(f57135,plain,(
% 109.13/14.09 ![X0,X1,X2]: (c_Set_Oimage(X0,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X2)=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|~spl0_563)),
% 109.13/14.09 inference(component_clause,[status(thm)],[f57134])).
% 109.13/14.09 fof(f57141,plain,(
% 109.13/14.09 spl0_564 <=> c_Set_Oimage(X2,c_Set_Oimage(X3,X4,tc_bool,X5),X5,X6)=c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool))),
% 109.13/14.09 introduced(split_symbol_definition)).
% 109.13/14.09 fof(f57142,plain,(
% 109.13/14.09 ![X0,X1,X2,X3,X4]: (c_Set_Oimage(X0,c_Set_Oimage(X1,X2,tc_bool,X3),X3,X4)=c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))|~spl0_564)),
% 109.13/14.09 inference(component_clause,[status(thm)],[f57141])).
% 109.13/14.09 fof(f57146,plain,(
% 109.13/14.09 spl0_565 <=> c_Set_Oimage(X2,X3,tc_Option_Ooption(tc_Option_Ooption(tc_bool)),X4)=c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))),
% 109.13/14.09 introduced(split_symbol_definition)).
% 109.13/14.09 fof(f57147,plain,(
% 109.13/14.09 ![X0,X1,X2]: (c_Set_Oimage(X0,X1,tc_Option_Ooption(tc_Option_Ooption(tc_bool)),X2)=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|~spl0_565)),
% 109.13/14.09 inference(component_clause,[status(thm)],[f57146])).
% 109.13/14.09 fof(f57172,plain,(
% 109.13/14.09 spl0_568 <=> c_Set_Oinsert(X2,c_Set_Oimage(X3,X4,tc_Option_Ooption(tc_bool),X5),X5)=c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))),
% 109.13/14.09 introduced(split_symbol_definition)).
% 109.13/14.09 fof(f57173,plain,(
% 109.13/14.09 ![X0,X1,X2,X3]: (c_Set_Oinsert(X0,c_Set_Oimage(X1,X2,tc_Option_Ooption(tc_bool),X3),X3)=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~spl0_568)),
% 109.13/14.09 inference(component_clause,[status(thm)],[f57172])).
% 109.13/14.09 fof(f57177,plain,(
% 109.13/14.09 spl0_569 <=> c_Set_Oinsert(X2,c_Set_Oimage(X3,X4,tc_bool,X5),X5)=c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))),
% 109.13/14.09 introduced(split_symbol_definition)).
% 109.13/14.09 fof(f57178,plain,(
% 109.13/14.09 ![X0,X1,X2,X3]: (c_Set_Oinsert(X0,c_Set_Oimage(X1,X2,tc_bool,X3),X3)=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~spl0_569)),
% 109.13/14.09 inference(component_clause,[status(thm)],[f57177])).
% 109.13/14.09 fof(f57309,plain,(
% 109.13/14.09 $false|~spl0_557),
% 109.13/14.09 inference(forward_subsumption_resolution,[status(thm)],[f57074,f23457])).
% 109.13/14.09 fof(f57310,plain,(
% 109.13/14.09 ~spl0_557),
% 109.13/14.09 inference(contradiction_clause,[status(thm)],[f57309])).
% 109.13/14.09 fof(f57311,plain,(
% 109.13/14.09 $false|~spl0_556),
% 109.13/14.09 inference(forward_subsumption_resolution,[status(thm)],[f57067,f29490])).
% 109.13/14.09 fof(f57312,plain,(
% 109.13/14.09 ~spl0_556),
% 109.13/14.09 inference(contradiction_clause,[status(thm)],[f57311])).
% 109.13/14.09 fof(f57313,plain,(
% 109.13/14.09 $false|~spl0_553),
% 109.13/14.09 inference(forward_subsumption_resolution,[status(thm)],[f57050,f46700])).
% 109.13/14.09 fof(f57314,plain,(
% 109.13/14.09 ~spl0_553),
% 109.13/14.09 inference(contradiction_clause,[status(thm)],[f57313])).
% 109.13/14.09 fof(f57316,plain,(
% 109.13/14.09 $false|~spl0_551),
% 109.13/14.09 inference(forward_subsumption_resolution,[status(thm)],[f57040,f29490])).
% 109.13/14.09 fof(f57317,plain,(
% 109.13/14.09 ~spl0_551),
% 109.13/14.09 inference(contradiction_clause,[status(thm)],[f57316])).
% 109.13/14.09 fof(f57318,plain,(
% 109.13/14.09 $false|~spl0_558),
% 109.13/14.09 inference(forward_subsumption_resolution,[status(thm)],[f57079,f23457])).
% 109.13/14.09 fof(f57319,plain,(
% 109.13/14.09 ~spl0_558),
% 109.13/14.09 inference(contradiction_clause,[status(thm)],[f57318])).
% 109.13/14.09 fof(f57323,plain,(
% 109.13/14.09 $false|~spl0_569),
% 109.13/14.09 inference(forward_subsumption_resolution,[status(thm)],[f57178,f29490])).
% 109.13/14.09 fof(f57324,plain,(
% 109.13/14.09 ~spl0_569),
% 109.13/14.09 inference(contradiction_clause,[status(thm)],[f57323])).
% 109.13/14.09 fof(f57325,plain,(
% 109.13/14.09 $false|~spl0_568),
% 109.13/14.09 inference(forward_subsumption_resolution,[status(thm)],[f57173,f29490])).
% 109.13/14.09 fof(f57326,plain,(
% 109.13/14.09 ~spl0_568),
% 109.13/14.09 inference(contradiction_clause,[status(thm)],[f57325])).
% 109.13/14.09 fof(f57327,plain,(
% 109.13/14.09 $false|~spl0_563),
% 109.13/14.09 inference(forward_subsumption_resolution,[status(thm)],[f57135,f31482])).
% 109.13/14.09 fof(f57328,plain,(
% 109.13/14.09 ~spl0_563),
% 109.13/14.09 inference(contradiction_clause,[status(thm)],[f57327])).
% 109.13/14.09 fof(f57329,plain,(
% 109.13/14.09 ![X0,X1,X2]: (~c_Finite__Set_Ofinite(c_Set_Oimage(X0,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X2),X2)|~spl0_562)),
% 109.13/14.09 inference(forward_subsumption_resolution,[status(thm)],[f57130,f31482])).
% 109.13/14.09 fof(f57330,plain,(
% 109.13/14.09 $false|~spl0_555),
% 109.13/14.09 inference(forward_subsumption_resolution,[status(thm)],[f57062,f29490])).
% 109.13/14.09 fof(f57331,plain,(
% 109.13/14.09 ~spl0_555),
% 109.13/14.09 inference(contradiction_clause,[status(thm)],[f57330])).
% 109.13/14.09 fof(f57451,plain,(
% 109.13/14.09 spl0_577 <=> ~hAPP(X0,X1)=c_Option_Ooption_ONone(t_a)),
% 109.13/14.09 introduced(split_symbol_definition)).
% 109.13/14.09 fof(f57452,plain,(
% 109.13/14.09 ![X0,X1]: (~hAPP(X0,X1)=c_Option_Ooption_ONone(t_a)|~spl0_577)),
% 109.13/14.09 inference(component_clause,[status(thm)],[f57451])).
% 109.13/14.09 fof(f57459,plain,(
% 109.13/14.09 $false|~spl0_577),
% 109.13/14.09 inference(resolution,[status(thm)],[f57452,f858])).
% 109.13/14.09 fof(f57460,plain,(
% 109.13/14.09 ~spl0_577),
% 109.13/14.09 inference(contradiction_clause,[status(thm)],[f57459])).
% 109.13/14.09 fof(f57541,plain,(
% 109.13/14.09 spl0_579 <=> ~c_Finite__Set_Ofinite(c_Set_Oimage(X3,c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)),tc_bool,X4),X4)),
% 109.13/14.09 introduced(split_symbol_definition)).
% 109.13/14.09 fof(f57542,plain,(
% 109.13/14.09 ![X0,X1]: (~c_Finite__Set_Ofinite(c_Set_Oimage(X0,c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)),tc_bool,X1),X1)|~spl0_579)),
% 109.13/14.09 inference(component_clause,[status(thm)],[f57541])).
% 109.13/14.09 fof(f57578,plain,(
% 109.13/14.09 spl0_580 <=> ~c_Finite__Set_Ofinite(c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3),X3)),
% 109.13/14.09 introduced(split_symbol_definition)).
% 109.13/14.09 fof(f57579,plain,(
% 109.13/14.09 ![X0,X1,X2]: (~c_Finite__Set_Ofinite(c_Set_Oimage(X0,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X2),X2)|~spl0_580)),
% 109.13/14.09 inference(component_clause,[status(thm)],[f57578])).
% 109.13/14.09 fof(f57712,plain,(
% 109.13/14.09 spl0_583 <=> ~c_Finite__Set_Ofinite(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,tc_bool),tc_bool),tc_bool)),
% 109.13/14.09 introduced(split_symbol_definition)).
% 109.13/14.09 fof(f57713,plain,(
% 109.13/14.09 ![X0,X1,X2]: (~c_Finite__Set_Ofinite(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,tc_bool),tc_bool),tc_bool)|~spl0_583)),
% 109.13/14.09 inference(component_clause,[status(thm)],[f57712])).
% 109.13/14.09 fof(f57778,plain,(
% 109.13/14.09 $false|~spl0_562),
% 109.13/14.09 inference(resolution,[status(thm)],[f57329,f46780])).
% 109.13/14.09 fof(f57779,plain,(
% 109.13/14.09 ~spl0_562),
% 109.13/14.09 inference(contradiction_clause,[status(thm)],[f57778])).
% 109.13/14.09 fof(f57788,plain,(
% 109.13/14.09 ~class_Finite__Set_Ofinite_Ofinite(tc_bool)|~spl0_583),
% 109.13/14.09 inference(resolution,[status(thm)],[f57713,f914])).
% 109.13/14.09 fof(f57789,plain,(
% 109.13/14.09 $false|~spl0_583),
% 109.13/14.09 inference(forward_subsumption_resolution,[status(thm)],[f57788,f1381])).
% 109.13/14.09 fof(f57790,plain,(
% 109.13/14.09 ~spl0_583),
% 109.13/14.09 inference(contradiction_clause,[status(thm)],[f57789])).
% 109.13/14.09 fof(f57791,plain,(
% 109.13/14.09 $false|~spl0_580),
% 109.13/14.09 inference(resolution,[status(thm)],[f57579,f46780])).
% 109.13/14.09 fof(f57792,plain,(
% 109.13/14.09 ~spl0_580),
% 109.13/14.09 inference(contradiction_clause,[status(thm)],[f57791])).
% 109.13/14.09 fof(f58684,plain,(
% 109.13/14.09 $false|~spl0_579),
% 109.13/14.09 inference(forward_subsumption_resolution,[status(thm)],[f57542,f24136])).
% 109.13/14.09 fof(f58685,plain,(
% 109.13/14.09 ~spl0_579),
% 109.13/14.09 inference(contradiction_clause,[status(thm)],[f58684])).
% 109.13/14.09 fof(f59395,plain,(
% 109.13/14.09 $false|~spl0_565),
% 109.13/14.09 inference(resolution,[status(thm)],[f57147,f2033])).
% 109.13/14.09 fof(f59396,plain,(
% 109.13/14.09 ~spl0_565),
% 109.13/14.09 inference(contradiction_clause,[status(thm)],[f59395])).
% 109.13/14.09 fof(f59948,plain,(
% 109.13/14.09 $false|~spl0_564),
% 109.13/14.09 inference(resolution,[status(thm)],[f57142,f2033])).
% 109.13/14.09 fof(f59949,plain,(
% 109.13/14.09 ~spl0_564),
% 109.13/14.09 inference(contradiction_clause,[status(thm)],[f59948])).
% 109.13/14.09 fof(f60791,plain,(
% 109.13/14.09 spl0_631 <=> ~hAPP(X0,hAPP(c_Com_Obody,v_pn))=c_Option_Ooption_ONone(t_a)),
% 109.13/14.09 introduced(split_symbol_definition)).
% 109.13/14.09 fof(f60792,plain,(
% 109.13/14.09 ![X0]: (~hAPP(X0,hAPP(c_Com_Obody,v_pn))=c_Option_Ooption_ONone(t_a)|~spl0_631)),
% 109.13/14.09 inference(component_clause,[status(thm)],[f60791])).
% 109.13/14.09 fof(f61556,plain,(
% 109.13/14.09 $false|~spl0_631),
% 109.13/14.09 inference(resolution,[status(thm)],[f60792,f858])).
% 109.13/14.09 fof(f61557,plain,(
% 109.13/14.09 ~spl0_631),
% 109.13/14.09 inference(contradiction_clause,[status(thm)],[f61556])).
% 109.13/14.09 fof(f63596,plain,(
% 109.13/14.09 spl0_662 <=> ~c_Set_Oinsert(v_y,c_Option_Ooption_OSome(tc_Com_Ocom),X0)=c_Set_Oinsert(v_y,c_Option_Ooption_OSome(tc_Com_Ocom),X0)),
% 109.13/14.09 introduced(split_symbol_definition)).
% 109.13/14.09 fof(f63597,plain,(
% 109.13/14.09 ![X0]: (~c_Set_Oinsert(v_y,c_Option_Ooption_OSome(tc_Com_Ocom),X0)=c_Set_Oinsert(v_y,c_Option_Ooption_OSome(tc_Com_Ocom),X0)|~spl0_662)),
% 109.13/14.09 inference(component_clause,[status(thm)],[f63596])).
% 109.13/14.09 fof(f63622,plain,(
% 109.13/14.09 $false|~spl0_662),
% 109.13/14.09 inference(trivial_equality_resolution,[status(esa)],[f63597])).
% 109.13/14.09 fof(f63623,plain,(
% 109.13/14.09 ~spl0_662),
% 109.13/14.09 inference(contradiction_clause,[status(thm)],[f63622])).
% 109.13/14.09 fof(f64901,plain,(
% 109.13/14.09 $false|~spl0_535),
% 109.13/14.09 inference(forward_subsumption_resolution,[status(thm)],[f55387,f46701])).
% 109.13/14.09 fof(f64902,plain,(
% 109.13/14.09 ~spl0_535),
% 109.13/14.09 inference(contradiction_clause,[status(thm)],[f64901])).
% 109.13/14.09 fof(f66519,plain,(
% 109.13/14.09 spl0_683 <=> ~hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Option_Ooption_OSome(tc_Com_Ocom),hAPP(c_fequal(tc_Option_Ooption(t_a)),v_x),tc_fun(X0,tc_bool)),v_x))),
% 109.13/14.09 introduced(split_symbol_definition)).
% 109.13/14.09 fof(f66520,plain,(
% 109.13/14.09 ![X0]: (~hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Option_Ooption_OSome(tc_Com_Ocom),hAPP(c_fequal(tc_Option_Ooption(t_a)),v_x),tc_fun(X0,tc_bool)),v_x))|~spl0_683)),
% 109.13/14.09 inference(component_clause,[status(thm)],[f66519])).
% 109.13/14.09 fof(f69412,plain,(
% 109.13/14.09 spl0_696 <=> c_Lattices_Olower__semilattice__class_Oinf(v_x,v_x,tc_bool)=v_x),
% 109.13/14.09 introduced(split_symbol_definition)).
% 109.13/14.09 fof(f69414,plain,(
% 109.13/14.09 ~c_Lattices_Olower__semilattice__class_Oinf(v_x,v_x,tc_bool)=v_x|spl0_696),
% 109.13/14.09 inference(component_clause,[status(thm)],[f69412])).
% 109.13/14.09 fof(f69452,plain,(
% 109.13/14.09 ~v_x=v_x|spl0_696),
% 109.13/14.09 inference(forward_demodulation,[status(thm)],[f5630,f69414])).
% 109.13/14.09 fof(f69453,plain,(
% 109.13/14.09 $false|spl0_696),
% 109.13/14.09 inference(trivial_equality_resolution,[status(esa)],[f69452])).
% 109.13/14.09 fof(f69454,plain,(
% 109.13/14.09 spl0_696),
% 109.13/14.09 inference(contradiction_clause,[status(thm)],[f69453])).
% 109.13/14.09 fof(f69528,plain,(
% 109.13/14.09 spl0_700 <=> ~c_Lattices_Olower__semilattice__class_Oinf(X0,v_x,tc_bool)=X0),
% 109.13/14.09 introduced(split_symbol_definition)).
% 109.13/14.09 fof(f69529,plain,(
% 109.13/14.09 ![X0]: (~c_Lattices_Olower__semilattice__class_Oinf(X0,v_x,tc_bool)=X0|~spl0_700)),
% 109.13/14.09 inference(component_clause,[status(thm)],[f69528])).
% 109.13/14.09 fof(f69542,plain,(
% 109.13/14.09 spl0_702 <=> ~X0=v_x),
% 109.13/14.09 introduced(split_symbol_definition)).
% 109.13/14.09 fof(f69543,plain,(
% 109.13/14.09 ![X0]: (~X0=v_x|~spl0_702)),
% 109.13/14.09 inference(component_clause,[status(thm)],[f69542])).
% 109.13/14.09 fof(f69558,plain,(
% 109.13/14.09 $false|~spl0_702),
% 109.13/14.09 inference(destructive_equality_resolution,[status(esa)],[f69543])).
% 109.13/14.09 fof(f69559,plain,(
% 109.13/14.09 ~spl0_702),
% 109.13/14.09 inference(contradiction_clause,[status(thm)],[f69558])).
% 109.13/14.09 fof(f69840,plain,(
% 109.13/14.09 ![X0,X1,X2,X3,X4]: (hBOOL(c_in(X0,X1,X2))|~c_lessequals(c_Set_Oinsert(X0,X3,X4),X1,tc_fun(X2,tc_bool)))),
% 109.13/14.09 inference(resolution,[status(thm)],[f1133,f29467])).
% 109.13/14.09 fof(f69856,plain,(
% 109.13/14.09 $false|~spl0_700),
% 109.13/14.09 inference(resolution,[status(thm)],[f69529,f5630])).
% 109.13/14.09 fof(f69857,plain,(
% 109.13/14.09 ~spl0_700),
% 109.13/14.09 inference(contradiction_clause,[status(thm)],[f69856])).
% 109.13/14.09 fof(f72619,plain,(
% 109.13/14.09 spl0_729 <=> ~c_Finite__Set_Ofinite(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),
% 109.13/14.09 introduced(split_symbol_definition)).
% 109.13/14.09 fof(f72620,plain,(
% 109.13/14.09 ![X0,X1]: (~c_Finite__Set_Ofinite(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)|~spl0_729)),
% 109.13/14.09 inference(component_clause,[status(thm)],[f72619])).
% 109.13/14.09 fof(f72626,plain,(
% 109.13/14.09 $false|~spl0_729),
% 109.13/14.09 inference(forward_subsumption_resolution,[status(thm)],[f72620,f24934])).
% 109.13/14.09 fof(f72627,plain,(
% 109.13/14.09 ~spl0_729),
% 109.13/14.09 inference(contradiction_clause,[status(thm)],[f72626])).
% 109.13/14.09 fof(f72762,plain,(
% 109.13/14.09 $false|~spl0_484),
% 109.13/14.09 inference(forward_subsumption_resolution,[status(thm)],[f49662,f29490])).
% 109.13/14.09 fof(f72763,plain,(
% 109.13/14.09 ~spl0_484),
% 109.13/14.09 inference(contradiction_clause,[status(thm)],[f72762])).
% 109.13/14.09 fof(f72768,plain,(
% 109.13/14.09 spl0_733 <=> ~c_lessequals(c_Option_Ooption_OSome(tc_Com_Ocom),c_Set_Oinsert(v_y,c_Option_Ooption_OSome(tc_Com_Ocom),X0),tc_fun(X0,tc_bool))),
% 109.13/14.09 introduced(split_symbol_definition)).
% 109.13/14.09 fof(f72769,plain,(
% 109.13/14.09 ![X0]: (~c_lessequals(c_Option_Ooption_OSome(tc_Com_Ocom),c_Set_Oinsert(v_y,c_Option_Ooption_OSome(tc_Com_Ocom),X0),tc_fun(X0,tc_bool))|~spl0_733)),
% 109.13/14.09 inference(component_clause,[status(thm)],[f72768])).
% 109.13/14.09 fof(f72795,plain,(
% 109.13/14.09 $false|~spl0_733),
% 109.13/14.09 inference(forward_subsumption_resolution,[status(thm)],[f72769,f734])).
% 109.13/14.09 fof(f72796,plain,(
% 109.13/14.09 ~spl0_733),
% 109.13/14.09 inference(contradiction_clause,[status(thm)],[f72795])).
% 109.13/14.09 fof(f73993,plain,(
% 109.13/14.09 spl0_739 <=> ~hBOOL(hAPP(X0,v_pn))),
% 109.13/14.09 introduced(split_symbol_definition)).
% 109.13/14.09 fof(f73994,plain,(
% 109.13/14.09 ![X0]: (~hBOOL(hAPP(X0,v_pn))|~spl0_739)),
% 109.13/14.09 inference(component_clause,[status(thm)],[f73993])).
% 109.13/14.09 fof(f73998,plain,(
% 109.13/14.09 spl0_740 <=> ~hBOOL(hAPP(X0,v_y))),
% 109.13/14.09 introduced(split_symbol_definition)).
% 109.13/14.09 fof(f73999,plain,(
% 109.13/14.09 ![X0]: (~hBOOL(hAPP(X0,v_y))|~spl0_740)),
% 109.13/14.09 inference(component_clause,[status(thm)],[f73998])).
% 109.13/14.09 fof(f74063,plain,(
% 109.13/14.09 $false|~spl0_739),
% 109.13/14.09 inference(resolution,[status(thm)],[f73994,f15938])).
% 109.13/14.09 fof(f74064,plain,(
% 109.13/14.09 ~spl0_739),
% 109.13/14.09 inference(contradiction_clause,[status(thm)],[f74063])).
% 109.13/14.09 fof(f74752,plain,(
% 109.13/14.09 ![X0,X1,X2,X3,X4]: (~c_lessequals(c_Set_Oinsert(X0,X1,X2),X3,tc_fun(X4,tc_bool))|hBOOL(hAPP(X3,X0)))),
% 109.13/14.09 inference(resolution,[status(thm)],[f69840,f54288])).
% 109.13/14.09 fof(f74799,plain,(
% 109.13/14.09 ![X0,X1,X2,X3,X4]: (hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Set_Oinsert(X1,X2,X3),tc_fun(X4,tc_bool)),X1)))),
% 109.13/14.09 inference(resolution,[status(thm)],[f74752,f674])).
% 109.13/14.09 fof(f74890,plain,(
% 109.13/14.09 ![X0,X1,X2,X3]: (hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0,hAPP(c_fequal(X1),X2),tc_fun(X3,tc_bool)),X2)))),
% 109.13/14.09 inference(paramodulation,[status(thm)],[f54487,f74799])).
% 109.13/14.09 fof(f75351,plain,(
% 109.13/14.09 spl0_741 <=> hBOOL(hAPP(X0,hAPP(X1,v_y)))),
% 109.13/14.09 introduced(split_symbol_definition)).
% 109.13/14.09 fof(f75352,plain,(
% 109.13/14.09 ![X0,X1]: (hBOOL(hAPP(X0,hAPP(X1,v_y)))|~spl0_741)),
% 109.13/14.09 inference(component_clause,[status(thm)],[f75351])).
% 109.13/14.09 fof(f75378,plain,(
% 109.13/14.09 $false|~spl0_741),
% 109.13/14.09 inference(resolution,[status(thm)],[f75352,f1326])).
% 109.13/14.09 fof(f75379,plain,(
% 109.13/14.09 ~spl0_741),
% 109.13/14.09 inference(contradiction_clause,[status(thm)],[f75378])).
% 109.13/14.09 fof(f76621,plain,(
% 109.13/14.09 spl0_763 <=> ~hAPP(X0,X1)=hAPP(c_Option_Ooption_OSome(X2),X3)),
% 109.13/14.09 introduced(split_symbol_definition)).
% 109.13/14.09 fof(f76622,plain,(
% 109.13/14.09 ![X0,X1,X2,X3]: (~hAPP(X0,X1)=hAPP(c_Option_Ooption_OSome(X2),X3)|~spl0_763)),
% 109.13/14.09 inference(component_clause,[status(thm)],[f76621])).
% 109.13/14.09 fof(f76626,plain,(
% 109.13/14.09 spl0_764 <=> ~hAPP(X0,X1)=c_Option_Ooption_ONone(X2)),
% 109.13/14.09 introduced(split_symbol_definition)).
% 109.13/14.09 fof(f76627,plain,(
% 109.13/14.09 ![X0,X1,X2]: (~hAPP(X0,X1)=c_Option_Ooption_ONone(X2)|~spl0_764)),
% 109.13/14.09 inference(component_clause,[status(thm)],[f76626])).
% 109.13/14.09 fof(f76765,plain,(
% 109.13/14.09 $false|~spl0_501),
% 109.13/14.09 inference(resolution,[status(thm)],[f50504,f1326])).
% 109.13/14.09 fof(f76766,plain,(
% 109.13/14.09 ~spl0_501),
% 109.13/14.09 inference(contradiction_clause,[status(thm)],[f76765])).
% 109.13/14.09 fof(f76767,plain,(
% 109.13/14.09 $false|~spl0_764),
% 109.13/14.09 inference(resolution,[status(thm)],[f76627,f858])).
% 109.13/14.09 fof(f76768,plain,(
% 109.13/14.09 ~spl0_764),
% 109.13/14.09 inference(contradiction_clause,[status(thm)],[f76767])).
% 109.13/14.09 fof(f76784,plain,(
% 109.13/14.09 spl0_766 <=> ~hBOOL(hAPP(X0,hAPP(c_Com_Obody,v_pn)))),
% 109.13/14.09 introduced(split_symbol_definition)).
% 109.13/14.09 fof(f76785,plain,(
% 109.13/14.09 ![X0]: (~hBOOL(hAPP(X0,hAPP(c_Com_Obody,v_pn)))|~spl0_766)),
% 109.13/14.09 inference(component_clause,[status(thm)],[f76784])).
% 109.13/14.09 fof(f76791,plain,(
% 109.13/14.09 $false|~spl0_740),
% 109.13/14.09 inference(resolution,[status(thm)],[f73999,f15938])).
% 109.13/14.09 fof(f76792,plain,(
% 109.13/14.09 ~spl0_740),
% 109.13/14.09 inference(contradiction_clause,[status(thm)],[f76791])).
% 109.13/14.09 fof(f76794,plain,(
% 109.13/14.09 $false|~spl0_763),
% 109.13/14.09 inference(backward_subsumption_resolution,[status(thm)],[f1341,f76622])).
% 109.13/14.09 fof(f76795,plain,(
% 109.13/14.09 ~spl0_763),
% 109.13/14.09 inference(contradiction_clause,[status(thm)],[f76794])).
% 109.13/14.09 fof(f76813,plain,(
% 109.13/14.09 $false|~spl0_766),
% 109.13/14.09 inference(resolution,[status(thm)],[f76785,f15938])).
% 109.13/14.09 fof(f76814,plain,(
% 109.13/14.09 ~spl0_766),
% 109.13/14.09 inference(contradiction_clause,[status(thm)],[f76813])).
% 109.13/14.09 fof(f77119,plain,(
% 109.13/14.09 spl0_770 <=> hBOOL(c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),X0))),
% 109.13/14.09 introduced(split_symbol_definition)).
% 109.13/14.09 fof(f77120,plain,(
% 109.13/14.09 ![X0]: (hBOOL(c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),X0))|~spl0_770)),
% 109.13/14.09 inference(component_clause,[status(thm)],[f77119])).
% 109.13/14.09 fof(f77133,plain,(
% 109.13/14.09 $false|~spl0_770),
% 109.13/14.09 inference(forward_subsumption_resolution,[status(thm)],[f77120,f21169])).
% 109.13/14.09 fof(f77134,plain,(
% 109.13/14.09 ~spl0_770),
% 109.13/14.09 inference(contradiction_clause,[status(thm)],[f77133])).
% 109.13/14.09 fof(f79647,plain,(
% 109.13/14.09 spl0_786 <=> hAPP(c_fequal(tc_Option_Ooption(t_a)),v_x)=hAPP(c_fequal(tc_Option_Ooption(t_a)),v_x)),
% 109.13/14.09 introduced(split_symbol_definition)).
% 109.13/14.09 fof(f79649,plain,(
% 109.13/14.09 ~hAPP(c_fequal(tc_Option_Ooption(t_a)),v_x)=hAPP(c_fequal(tc_Option_Ooption(t_a)),v_x)|spl0_786),
% 109.13/14.09 inference(component_clause,[status(thm)],[f79647])).
% 109.13/14.09 fof(f79662,plain,(
% 109.13/14.09 $false|spl0_786),
% 109.13/14.09 inference(trivial_equality_resolution,[status(esa)],[f79649])).
% 109.13/14.09 fof(f79663,plain,(
% 109.13/14.09 spl0_786),
% 109.13/14.09 inference(contradiction_clause,[status(thm)],[f79662])).
% 109.13/14.09 fof(f81622,plain,(
% 109.13/14.09 $false|~spl0_683),
% 109.13/14.09 inference(backward_subsumption_resolution,[status(thm)],[f66520,f74890])).
% 109.13/14.09 fof(f81623,plain,(
% 109.13/14.09 ~spl0_683),
% 109.13/14.09 inference(contradiction_clause,[status(thm)],[f81622])).
% 109.13/14.09 fof(f82414,plain,(
% 109.13/14.09 ![X0,X1]: (c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,X1,tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)|~c_Finite__Set_Ofinite(X1,tc_Com_Opname)|~c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),X1,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),X1,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate))),
% 109.13/14.09 inference(forward_demodulation,[status(thm)],[f1323,f1294])).
% 109.13/14.09 fof(f82415,plain,(
% 109.13/14.09 ![X0,X1]: (c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,X1,tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)|~c_Finite__Set_Ofinite(X1,tc_Com_Opname)|~c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,X1,tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),X1,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate))),
% 109.13/14.09 inference(forward_demodulation,[status(thm)],[f1323,f82414])).
% 109.13/14.09 fof(f82416,plain,(
% 109.13/14.09 ![X0,X1]: (c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,X1,tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)|~c_Finite__Set_Ofinite(X1,tc_Com_Opname)|~c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,X1,tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),X1,tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate))),
% 109.13/14.09 inference(forward_demodulation,[status(thm)],[f1323,f82415])).
% 109.13/14.09 fof(f82417,plain,(
% 109.13/14.09 ![X0,X1]: (c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,X1,tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)|~c_Finite__Set_Ofinite(X1,tc_Com_Opname)|~c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,X1,tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Option_Othe(tc_Com_Ocom),c_Set_Oimage(c_Com_Obody,X1,tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom)),tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate))),
% 109.13/14.09 inference(forward_demodulation,[status(thm)],[f1323,f82416])).
% 109.13/14.09 fof(f82418,plain,(
% 109.13/14.09 spl0_797 <=> c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Option_Othe(tc_Com_Ocom),c_Set_Oimage(c_Com_Obody,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom)),tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)),
% 109.13/14.09 introduced(split_symbol_definition)).
% 109.13/14.09 fof(f82420,plain,(
% 109.13/14.09 ~c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Option_Othe(tc_Com_Ocom),c_Set_Oimage(c_Com_Obody,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom)),tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)|spl0_797),
% 109.13/14.09 inference(component_clause,[status(thm)],[f82418])).
% 109.13/14.09 fof(f82421,plain,(
% 109.13/14.09 ~c_Finite__Set_Ofinite(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname)|~c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Option_Othe(tc_Com_Ocom),c_Set_Oimage(c_Com_Obody,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom)),tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)),
% 110.66/14.24 inference(resolution,[status(thm)],[f82417,f14690])).
% 110.66/14.24 fof(f82422,plain,(
% 110.66/14.24 ~spl0_205|~spl0_797),
% 110.66/14.24 inference(split_clause,[status(thm)],[f82421,f20876,f82418])).
% 110.66/14.24 fof(f82443,plain,(
% 110.66/14.24 ~c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Option_Othe(tc_Com_Ocom),c_Set_Oimage(c_Com_Obody,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom)),tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)|spl0_797),
% 110.66/14.24 inference(forward_demodulation,[status(thm)],[f986,f82420])).
% 110.66/14.24 fof(f82444,plain,(
% 110.66/14.24 $false|~spl0_4|spl0_797),
% 110.66/14.24 inference(forward_subsumption_resolution,[status(thm)],[f82443,f5636])).
% 110.66/14.24 fof(f82445,plain,(
% 110.66/14.24 ~spl0_4|spl0_797),
% 110.66/14.24 inference(contradiction_clause,[status(thm)],[f82444])).
% 110.66/14.24 fof(f82446,plain,(
% 110.66/14.24 $false),
% 110.66/14.24 inference(sat_refutation,[status(thm)],[f1415,f1434,f1436,f20883,f21215,f21717,f22758,f22760,f30373,f31883,f39166,f39174,f40141,f46172,f48003,f48810,f49053,f50166,f50239,f50543,f50546,f50552,f50555,f50563,f50869,f50993,f55699,f56312,f57310,f57312,f57314,f57317,f57319,f57324,f57326,f57328,f57331,f57460,f57779,f57790,f57792,f58685,f59396,f59949,f61557,f63623,f64902,f69454,f69559,f69857,f72627,f72763,f72796,f74064,f75379,f76766,f76768,f76792,f76795,f76814,f77134,f79663,f81623,f82422,f82445])).
% 110.66/14.24 % SZS output end CNFRefutation for theBenchmark.p
% 111.12/14.33 % Elapsed time: 14.058640 seconds
% 111.12/14.33 % CPU time: 110.809092 seconds
% 111.12/14.33 % Total memory used: 1.214 GB
% 111.12/14.33 % Net memory used: 1.163 GB
%------------------------------------------------------------------------------