TSTP Solution File: SCT071-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SCT071-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 : Wed May 31 12:33:10 EDT 2023
% Result : Unsatisfiable 145.23s 18.85s
% Output : CNFRefutation 147.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SCT071-1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 09:32:49 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.41 % Drodi V3.5.1
% 145.23/18.85 % Refutation found
% 145.23/18.85 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 145.23/18.85 % SZS output start CNFRefutation for theBenchmark
% 145.23/18.85 fof(f1,axiom,(
% 145.23/18.85 (![V_m,V_n]: (( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat)| ~ c_lessequals(V_m,V_n,tc_nat) ) ))),
% 145.23/18.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.23/18.85 fof(f4,axiom,(
% 145.23/18.85 (![T_a,V_y,V_z,V_x]: (( ~ class_Lattices_Odistrib__lattice(T_a)| c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_z,V_x,T_a),T_a) ) ))),
% 145.23/18.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.23/18.85 fof(f10,axiom,(
% 145.23/18.85 (![V_b,V_a,T_a]: (( V_b = V_a| ~ hBOOL(c_in(V_b,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)) ) ))),
% 145.23/18.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.23/18.85 fof(f12,axiom,(
% 145.23/18.85 (![V_B,T_b,V_f,V_A,T_a]: (( c_Finite__Set_Ofinite(V_B,T_b)| ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool))| ~ c_Finite__Set_Ofinite(V_A,T_a) ) ))),
% 145.23/18.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.23/18.85 fof(f62,axiom,(
% 145.23/18.85 (![T_a,V_x]: (( ~ class_Orderings_Obot(T_a)| c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ))),
% 145.23/18.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.23/18.85 fof(f76,axiom,(
% 145.23/18.85 (![V_m,V_n]: (( c_lessequals(c_Suc(V_m),V_n,tc_nat)| ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ))),
% 145.23/18.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.23/18.85 fof(f77,axiom,(
% 145.23/18.85 (![V_m,V_n]: (( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)| ~ c_lessequals(c_Suc(V_m),V_n,tc_nat) ) ))),
% 145.23/18.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.23/18.85 fof(f81,axiom,(
% 145.23/18.85 (![V_A,V_x,V_y,T_a]: (( hBOOL(hAPP(V_A,V_x))| V_y = V_x| ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ) ))),
% 145.23/18.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.23/18.85 fof(f86,axiom,(
% 145.23/18.85 (![V_m,V_n]: (( c_lessequals(V_m,V_n,tc_nat)| ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ))),
% 145.23/18.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.23/18.85 fof(f97,axiom,(
% 145.23/18.85 (![V_f,V_A,T_a,T_b,V_B]: (( c_Fun_Obij__betw(c_FuncSet_Orestrict(V_f,V_A,T_a,T_b),V_A,V_B,T_a,T_b)| ~ c_Fun_Obij__betw(V_f,V_A,V_B,T_a,T_b) ) ))),
% 145.23/18.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.23/18.85 fof(f106,axiom,(
% 145.23/18.85 (![V_S,V_x,T_a]: (( hBOOL(hAPP(V_S,V_x))| ~ hBOOL(c_in(V_x,V_S,T_a)) ) ))),
% 145.23/18.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.23/18.85 fof(f107,axiom,(
% 145.23/18.85 (![V_x,V_A,T_a]: (( c_Finite__Set_Ocard(c_Set_Oinsert(V_x,V_A,T_a),T_a) = c_Suc(c_Finite__Set_Ocard(V_A,T_a))| hBOOL(c_in(V_x,V_A,T_a))| ~ c_Finite__Set_Ofinite(V_A,T_a) ) ))),
% 145.23/18.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.23/18.85 fof(f113,axiom,(
% 145.23/18.85 (![T_a,V_x,V_y]: (( ~ class_Orderings_Olinorder(T_a)| c_HOL_Oord__class_Oless(V_x,V_y,T_a)| c_lessequals(V_y,V_x,T_a) ) ))),
% 145.23/18.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.23/18.85 fof(f116,axiom,(
% 145.23/18.85 (![T_a,V_x,V_y]: (( ~ class_Orderings_Olinorder(T_a)| ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)| ~ c_lessequals(V_y,V_x,T_a) ) ))),
% 145.23/18.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.23/18.85 fof(f121,axiom,(
% 145.23/18.85 (![V_x,T_a]: (( hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))| c_Finite__Set_Ocard(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = c_Suc(c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ) ))),
% 145.23/18.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.23/18.85 fof(f145,axiom,(
% 145.23/18.85 (![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) ) ))),
% 145.23/18.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.23/18.85 fof(f147,axiom,(
% 145.23/18.85 (![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_y| ~ c_lessequals(V_y,V_x,T_a) ) ))),
% 145.23/18.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.23/18.85 fof(f148,axiom,(
% 145.23/18.85 (![V_n]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_n),tc_nat) ))),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f156,axiom,(
% 145.86/18.87 (![T_a,V_y,V_x]: (( ~ class_Lattices_Oupper__semilattice(T_a)| c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ))),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f162,axiom,(
% 145.86/18.87 (![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) ) ))),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f255,axiom,(
% 145.86/18.87 (![V_A,V_B,T_a]: (( V_A = V_B| ~ c_lessequals(c_Finite__Set_Ocard(V_B,T_a),c_Finite__Set_Ocard(V_A,T_a),tc_nat)| ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))| ~ c_Finite__Set_Ofinite(V_B,T_a) ) ))),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f258,axiom,(
% 145.86/18.87 (![T_a,V_x]: (~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ))),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f271,axiom,(
% 145.86/18.87 (![T_a,V_x]: (( ~ class_Orderings_Oorder(T_a)| ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ))),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f274,axiom,(
% 145.86/18.87 (![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 ) ))),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f282,axiom,(
% 145.86/18.87 (![V_m,V_n]: (( V_m = V_n| ~ c_lessequals(V_n,V_m,tc_nat)| ~ c_lessequals(V_m,V_n,tc_nat) ) ))),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f283,axiom,(
% 145.86/18.87 (![V_n,V_m]: (( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)| c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)| V_m = V_n ) ))),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f289,axiom,(
% 145.86/18.87 (![V_m,V_n]: (( ~ c_lessequals(V_m,V_n,tc_nat)| ~ c_lessequals(c_Suc(V_n),V_m,tc_nat) ) ))),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f290,axiom,(
% 145.86/18.87 (![V_n,V_m]: (( c_lessequals(c_Suc(V_n),V_m,tc_nat)| c_lessequals(V_m,V_n,tc_nat) ) ))),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f293,axiom,(
% 145.86/18.87 (![V_k]: (c_Finite__Set_Ofinite(c_SetInterval_Oord__class_OlessThan(V_k,tc_nat),tc_nat) ))),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f333,axiom,(
% 145.86/18.87 (![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) ) ))),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f368,axiom,(
% 145.86/18.87 (![V_A,T_a]: (( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(V_A,T_a),tc_nat)| ~ c_Finite__Set_Ofinite(V_A,T_a)| V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ))),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f401,axiom,(
% 145.86/18.87 (![V_x,V_y]: (( c_lessequals(V_x,V_y,tc_nat)| ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ))),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f405,axiom,(
% 145.86/18.87 (![T_a,V_x,V_y]: (( ~ class_Lattices_Oupper__semilattice(T_a)| c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_x| ~ c_lessequals(V_y,V_x,T_a) ) ))),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f406,axiom,(
% 145.86/18.87 (![T_a,V_x,V_y]: (( ~ class_Lattices_Oupper__semilattice(T_a)| c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != V_y| c_lessequals(V_x,V_y,T_a) ) ))),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f407,axiom,(
% 145.86/18.87 (![T_a,V_x,V_y]: (( ~ class_Lattices_Oupper__semilattice(T_a)| c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_y| ~ c_lessequals(V_x,V_y,T_a) ) ))),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f420,axiom,(
% 145.86/18.87 (![V_n]: (c_HOL_Oord__class_Oless(V_n,c_Suc(V_n),tc_nat) ))),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f450,axiom,(
% 145.86/18.87 (![T_a,V_x,V_y]: (( ~ class_Lattices_Olattice(T_a)| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ))),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f485,axiom,(
% 145.86/18.87 (![V_n]: (c_Suc(V_n) != V_n ))),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f530,axiom,(
% 145.86/18.87 (![V_m]: (~ c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ))),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f532,axiom,(
% 145.86/18.87 (![V_n]: (c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ))),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f534,axiom,(
% 145.86/18.87 (![V_A,T_a]: (( c_Finite__Set_Ofinite(V_A,T_a)| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(V_A,T_a),tc_nat) ) ))),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f541,axiom,(
% 145.86/18.87 (![V_f,V_A,T_a,T_b,V_B]: (( c_Set_Oimage(V_f,V_A,T_a,T_b) = V_B| ~ c_Fun_Obij__betw(V_f,V_A,V_B,T_a,T_b) ) ))),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f547,axiom,(
% 145.86/18.87 (![T_a,V_Y]: (c_Set_Oimage(c_COMBI(T_a),V_Y,T_a,T_a) = V_Y ))),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f566,axiom,(
% 145.86/18.87 (![V_A,T_a]: (c_lessequals(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ))),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f569,axiom,(
% 145.86/18.87 (![T_a]: (c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ))),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f588,axiom,(
% 145.86/18.87 (![T_a,V_x]: (( ~ class_Lattices_Olower__semilattice(T_a)| c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a) = V_x ) ))),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f643,axiom,(
% 145.86/18.87 (![V_m,V_n]: (( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)| ~ c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat) ) ))),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f682,axiom,(
% 145.86/18.87 (![V_n,V_m]: (( c_lessequals(V_n,V_m,tc_nat)| c_lessequals(V_m,V_n,tc_nat) ) ))),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f712,axiom,(
% 145.86/18.87 (![T_a,V_A]: (c_Fun_Oinj__on(c_COMBI(T_a),V_A,T_a,T_a) ))),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f724,axiom,(
% 145.86/18.87 (![V_f,V_A,T_a,T_b,V_B]: (( c_Fun_Oinj__on(V_f,V_A,T_a,T_b)| ~ c_Fun_Obij__betw(V_f,V_A,V_B,T_a,T_b) ) ))),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f725,axiom,(
% 145.86/18.87 (![V_M,T_a]: (( c_Fun_Obij__betw(c_List_Osko__SetInterval__Xex__bij__betw__finite__nat__1__1(V_M,T_a),V_M,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(V_M,T_a),tc_nat),T_a,tc_nat)| ~ c_Finite__Set_Ofinite(V_M,T_a) ) ))),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f740,axiom,(
% 145.86/18.87 c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi) ),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f745,axiom,(
% 145.86/18.87 (![V_A,T_a]: (( c_Finite__Set_Ocard(V_A,T_a) = c_HOL_Ozero__class_Ozero(tc_nat)| c_Finite__Set_Ofinite(V_A,T_a) ) ))),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f746,axiom,(
% 145.86/18.87 (![T_a]: (c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) = c_HOL_Ozero__class_Ozero(tc_nat) ))),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f756,axiom,(
% 145.86/18.87 (![V_f,V_A,T_a,T_b]: (( ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)| c_Fun_Obij__betw(V_f,V_A,c_Set_Oimage(V_f,V_A,T_a,T_b),T_a,T_b) ) ))),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f769,axiom,(
% 145.86/18.87 (![V_n]: (c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_SetInterval_Oord__class_OlessThan(V_n,tc_nat) ))),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f782,axiom,(
% 145.86/18.87 (![V_h]: (( c_Set_Oimage(V_h,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat) != c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat)| ~ c_Fun_Oinj__on(V_h,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat)| v_thesis____ ) ))),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f783,axiom,(
% 145.86/18.87 (![T_a,V_x]: (hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)) ))),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f786,negated_conjecture,(
% 145.86/18.87 ~ v_thesis____ ),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f802,axiom,(
% 145.86/18.87 class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f805,axiom,(
% 145.86/18.87 class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f806,axiom,(
% 145.86/18.87 class_Lattices_Oupper__semilattice(tc_nat) ),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f807,axiom,(
% 145.86/18.87 class_Lattices_Olower__semilattice(tc_nat) ),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f810,axiom,(
% 145.86/18.87 class_Ring__and__Field_Omult__zero(tc_nat) ),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f811,axiom,(
% 145.86/18.87 class_Lattices_Odistrib__lattice(tc_nat) ),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f814,axiom,(
% 145.86/18.87 class_Orderings_Olinorder(tc_nat) ),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f815,axiom,(
% 145.86/18.87 class_Lattices_Olattice(tc_nat) ),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f816,axiom,(
% 145.86/18.87 class_Orderings_Oorder(tc_nat) ),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f817,axiom,(
% 145.86/18.87 class_Orderings_Obot(tc_nat) ),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f818,axiom,(
% 145.86/18.87 class_Power_Opower(tc_nat) ),
% 145.86/18.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.86/18.87 fof(f838,plain,(
% 145.86/18.87 ![X0,X1]: (c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)|~c_lessequals(X0,X1,tc_nat))),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f1])).
% 145.86/18.87 fof(f841,plain,(
% 145.86/18.87 ![T_a]: (~class_Lattices_Odistrib__lattice(T_a)|(![V_y,V_z,V_x]: c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_z,V_x,T_a),T_a)))),
% 145.86/18.87 inference(miniscoping,[status(esa)],[f4])).
% 145.86/18.87 fof(f842,plain,(
% 145.86/18.87 ![X0,X1,X2,X3]: (~class_Lattices_Odistrib__lattice(X0)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X3,X0)=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0),c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0))),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f841])).
% 145.86/18.87 fof(f850,plain,(
% 145.86/18.87 ![V_b,V_a]: (V_b=V_a|(![T_a]: ~hBOOL(c_in(V_b,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a))))),
% 145.86/18.87 inference(miniscoping,[status(esa)],[f10])).
% 145.86/18.87 fof(f851,plain,(
% 145.86/18.87 ![X0,X1,X2]: (X0=X1|~hBOOL(c_in(X0,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)))),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f850])).
% 145.86/18.87 fof(f854,plain,(
% 145.86/18.87 ![V_A,T_a]: ((![V_B,T_b]: (c_Finite__Set_Ofinite(V_B,T_b)|(![V_f]: ~c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool)))))|~c_Finite__Set_Ofinite(V_A,T_a))),
% 145.86/18.87 inference(miniscoping,[status(esa)],[f12])).
% 145.86/18.87 fof(f855,plain,(
% 145.86/18.87 ![X0,X1,X2,X3,X4]: (c_Finite__Set_Ofinite(X0,X1)|~c_lessequals(X0,c_Set_Oimage(X2,X3,X4,X1),tc_fun(X1,tc_bool))|~c_Finite__Set_Ofinite(X3,X4))),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f854])).
% 145.86/18.87 fof(f922,plain,(
% 145.86/18.87 ![T_a]: (~class_Orderings_Obot(T_a)|(![V_x]: c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a)))),
% 145.86/18.87 inference(miniscoping,[status(esa)],[f62])).
% 145.86/18.87 fof(f923,plain,(
% 145.86/18.87 ![X0,X1]: (~class_Orderings_Obot(X0)|c_lessequals(c_Orderings_Obot__class_Obot(X0),X1,X0))),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f922])).
% 145.86/18.87 fof(f942,plain,(
% 145.86/18.87 ![X0,X1]: (c_lessequals(c_Suc(X0),X1,tc_nat)|~c_HOL_Oord__class_Oless(X0,X1,tc_nat))),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f76])).
% 145.86/18.87 fof(f943,plain,(
% 145.86/18.87 ![X0,X1]: (c_HOL_Oord__class_Oless(X0,X1,tc_nat)|~c_lessequals(c_Suc(X0),X1,tc_nat))),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f77])).
% 145.86/18.87 fof(f947,plain,(
% 145.86/18.87 ![V_A,V_x,V_y]: ((hBOOL(hAPP(V_A,V_x))|V_y=V_x)|(![T_a]: ~hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))))),
% 145.86/18.87 inference(miniscoping,[status(esa)],[f81])).
% 145.86/18.87 fof(f948,plain,(
% 145.86/18.87 ![X0,X1,X2,X3]: (hBOOL(hAPP(X0,X1))|X2=X1|~hBOOL(hAPP(c_Set_Oinsert(X2,X0,X3),X1)))),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f947])).
% 145.86/18.87 fof(f956,plain,(
% 145.86/18.87 ![X0,X1]: (c_lessequals(X0,X1,tc_nat)|~c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat))),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f86])).
% 145.86/18.87 fof(f972,plain,(
% 145.86/18.87 ![X0,X1,X2,X3,X4]: (c_Fun_Obij__betw(c_FuncSet_Orestrict(X0,X1,X2,X3),X1,X4,X2,X3)|~c_Fun_Obij__betw(X0,X1,X4,X2,X3))),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f97])).
% 145.86/18.87 fof(f983,plain,(
% 145.86/18.87 ![V_S,V_x]: (hBOOL(hAPP(V_S,V_x))|(![T_a]: ~hBOOL(c_in(V_x,V_S,T_a))))),
% 145.86/18.87 inference(miniscoping,[status(esa)],[f106])).
% 145.86/18.87 fof(f984,plain,(
% 145.86/18.87 ![X0,X1,X2]: (hBOOL(hAPP(X0,X1))|~hBOOL(c_in(X1,X0,X2)))),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f983])).
% 145.86/18.87 fof(f985,plain,(
% 145.86/18.87 ![V_A,T_a]: ((![V_x]: (c_Finite__Set_Ocard(c_Set_Oinsert(V_x,V_A,T_a),T_a)=c_Suc(c_Finite__Set_Ocard(V_A,T_a))|hBOOL(c_in(V_x,V_A,T_a))))|~c_Finite__Set_Ofinite(V_A,T_a))),
% 145.86/18.87 inference(miniscoping,[status(esa)],[f107])).
% 145.86/18.87 fof(f986,plain,(
% 145.86/18.87 ![X0,X1,X2]: (c_Finite__Set_Ocard(c_Set_Oinsert(X0,X1,X2),X2)=c_Suc(c_Finite__Set_Ocard(X1,X2))|hBOOL(c_in(X0,X1,X2))|~c_Finite__Set_Ofinite(X1,X2))),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f985])).
% 145.86/18.87 fof(f992,plain,(
% 145.86/18.87 ![X0,X1,X2]: (~class_Orderings_Olinorder(X0)|c_HOL_Oord__class_Oless(X1,X2,X0)|c_lessequals(X2,X1,X0))),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f113])).
% 145.86/18.87 fof(f995,plain,(
% 145.86/18.87 ![X0,X1,X2]: (~class_Orderings_Olinorder(X0)|~c_HOL_Oord__class_Oless(X1,X2,X0)|~c_lessequals(X2,X1,X0))),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f116])).
% 145.86/18.87 fof(f1000,plain,(
% 145.86/18.87 ![X0,X1]: (hBOOL(c_in(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1))|c_Finite__Set_Ocard(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)=c_Suc(c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)))),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f121])).
% 145.86/18.87 fof(f1034,plain,(
% 145.86/18.87 ![X0,X1,X2]: (~class_Lattices_Olower__semilattice(X0)|c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0)=X1|~c_lessequals(X1,X2,X0))),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f145])).
% 145.86/18.87 fof(f1036,plain,(
% 145.86/18.87 ![X0,X1,X2]: (~class_Lattices_Olower__semilattice(X0)|c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0)=X2|~c_lessequals(X2,X1,X0))),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f147])).
% 145.86/18.87 fof(f1037,plain,(
% 145.86/18.87 ![X0]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat))),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f148])).
% 145.86/18.87 fof(f1049,plain,(
% 145.86/18.87 ![T_a]: (~class_Lattices_Oupper__semilattice(T_a)|(![V_y,V_x]: c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)))),
% 145.86/18.87 inference(miniscoping,[status(esa)],[f156])).
% 145.86/18.87 fof(f1050,plain,(
% 145.86/18.87 ![X0,X1,X2]: (~class_Lattices_Oupper__semilattice(X0)|c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X0),X0))),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f1049])).
% 145.86/18.87 fof(f1060,plain,(
% 145.86/18.87 ![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)))),
% 145.86/18.87 inference(miniscoping,[status(esa)],[f162])).
% 145.86/18.87 fof(f1061,plain,(
% 145.86/18.87 ![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))),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f1060])).
% 145.86/18.87 fof(f1202,plain,(
% 145.86/18.87 ![V_B,T_a]: ((![V_A]: ((V_A=V_B|~c_lessequals(c_Finite__Set_Ocard(V_B,T_a),c_Finite__Set_Ocard(V_A,T_a),tc_nat))|~c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))))|~c_Finite__Set_Ofinite(V_B,T_a))),
% 145.86/18.87 inference(miniscoping,[status(esa)],[f255])).
% 145.86/18.87 fof(f1203,plain,(
% 145.86/18.87 ![X0,X1,X2]: (X0=X1|~c_lessequals(c_Finite__Set_Ocard(X1,X2),c_Finite__Set_Ocard(X0,X2),tc_nat)|~c_lessequals(X0,X1,tc_fun(X2,tc_bool))|~c_Finite__Set_Ofinite(X1,X2))),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f1202])).
% 145.86/18.87 fof(f1206,plain,(
% 145.86/18.87 ![X0,X1]: (~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1)))),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f258])).
% 145.86/18.87 fof(f1223,plain,(
% 145.86/18.87 ![T_a]: (~class_Orderings_Oorder(T_a)|(![V_x]: ~c_HOL_Oord__class_Oless(V_x,V_x,T_a)))),
% 145.86/18.87 inference(miniscoping,[status(esa)],[f271])).
% 145.86/18.87 fof(f1224,plain,(
% 145.86/18.87 ![X0,X1]: (~class_Orderings_Oorder(X0)|~c_HOL_Oord__class_Oless(X1,X1,X0))),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f1223])).
% 145.86/18.87 fof(f1229,plain,(
% 145.86/18.87 ![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))),
% 145.86/18.87 inference(miniscoping,[status(esa)],[f274])).
% 145.86/18.87 fof(f1230,plain,(
% 145.86/18.87 ![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)),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f1229])).
% 145.86/18.87 fof(f1242,plain,(
% 145.86/18.87 ![X0,X1]: (X0=X1|~c_lessequals(X1,X0,tc_nat)|~c_lessequals(X0,X1,tc_nat))),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f282])).
% 145.86/18.87 fof(f1243,plain,(
% 145.86/18.87 ![X0,X1]: (c_HOL_Oord__class_Oless(X0,X1,tc_nat)|c_HOL_Oord__class_Oless(X1,X0,tc_nat)|X1=X0)),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f283])).
% 145.86/18.87 fof(f1252,plain,(
% 145.86/18.87 ![X0,X1]: (~c_lessequals(X0,X1,tc_nat)|~c_lessequals(c_Suc(X1),X0,tc_nat))),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f289])).
% 145.86/18.87 fof(f1253,plain,(
% 145.86/18.87 ![X0,X1]: (c_lessequals(c_Suc(X0),X1,tc_nat)|c_lessequals(X1,X0,tc_nat))),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f290])).
% 145.86/18.87 fof(f1258,plain,(
% 145.86/18.87 ![X0]: (c_Finite__Set_Ofinite(c_SetInterval_Oord__class_OlessThan(X0,tc_nat),tc_nat))),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f293])).
% 145.86/18.87 fof(f1329,plain,(
% 145.86/18.87 ![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)))),
% 145.86/18.87 inference(miniscoping,[status(esa)],[f333])).
% 145.86/18.87 fof(f1330,plain,(
% 145.86/18.87 ![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))),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f1329])).
% 145.86/18.87 fof(f1382,plain,(
% 145.86/18.87 ![X0,X1]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(X0,X1),tc_nat)|~c_Finite__Set_Ofinite(X0,X1)|X0=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f368])).
% 145.86/18.87 fof(f1430,plain,(
% 145.86/18.87 ![X0,X1]: (c_lessequals(X0,X1,tc_nat)|~c_HOL_Oord__class_Oless(X0,X1,tc_nat))),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f401])).
% 145.86/18.87 fof(f1434,plain,(
% 145.86/18.87 ![X0,X1,X2]: (~class_Lattices_Oupper__semilattice(X0)|c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0)=X1|~c_lessequals(X2,X1,X0))),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f405])).
% 145.86/18.87 fof(f1435,plain,(
% 145.86/18.87 ![X0,X1,X2]: (~class_Lattices_Oupper__semilattice(X0)|~c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0)=X2|c_lessequals(X1,X2,X0))),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f406])).
% 145.86/18.87 fof(f1436,plain,(
% 145.86/18.87 ![X0,X1,X2]: (~class_Lattices_Oupper__semilattice(X0)|c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0)=X2|~c_lessequals(X1,X2,X0))),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f407])).
% 145.86/18.87 fof(f1454,plain,(
% 145.86/18.87 ![X0]: (c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat))),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f420])).
% 145.86/18.87 fof(f1498,plain,(
% 145.86/18.87 ![T_a]: (~class_Lattices_Olattice(T_a)|(![V_x,V_y]: c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a)))),
% 145.86/18.87 inference(miniscoping,[status(esa)],[f450])).
% 145.86/18.87 fof(f1499,plain,(
% 145.86/18.87 ![X0,X1,X2]: (~class_Lattices_Olattice(X0)|c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X2,X0))),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f1498])).
% 145.86/18.87 fof(f1553,plain,(
% 145.86/18.87 ![X0]: (~c_Suc(X0)=X0)),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f485])).
% 145.86/18.87 fof(f1616,plain,(
% 145.86/18.87 ![X0]: (~c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f530])).
% 145.86/18.87 fof(f1618,plain,(
% 145.86/18.87 ![X0]: (c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat))),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f532])).
% 145.86/18.87 fof(f1620,plain,(
% 145.86/18.87 ![X0,X1]: (c_Finite__Set_Ofinite(X0,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(X0,X1),tc_nat))),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f534])).
% 145.86/18.87 fof(f1630,plain,(
% 145.86/18.87 ![X0,X1,X2,X3,X4]: (c_Set_Oimage(X0,X1,X2,X3)=X4|~c_Fun_Obij__betw(X0,X1,X4,X2,X3))),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f541])).
% 145.86/18.87 fof(f1638,plain,(
% 145.86/18.87 ![X0,X1]: (c_Set_Oimage(c_COMBI(X0),X1,X0,X0)=X1)),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f547])).
% 145.86/18.87 fof(f1670,plain,(
% 145.86/18.87 ![X0,X1]: (c_lessequals(X0,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)))),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f566])).
% 145.86/18.87 fof(f1673,plain,(
% 145.86/18.87 ![X0]: (~c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f569])).
% 145.86/18.87 fof(f1698,plain,(
% 145.86/18.87 ![T_a]: (~class_Lattices_Olower__semilattice(T_a)|(![V_x]: c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a)=V_x))),
% 145.86/18.87 inference(miniscoping,[status(esa)],[f588])).
% 145.86/18.87 fof(f1699,plain,(
% 145.86/18.87 ![X0,X1]: (~class_Lattices_Olower__semilattice(X0)|c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X0)=X1)),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f1698])).
% 145.86/18.87 fof(f1792,plain,(
% 145.86/18.87 ![X0,X1]: (c_HOL_Oord__class_Oless(X0,X1,tc_nat)|~c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat))),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f643])).
% 145.86/18.87 fof(f1847,plain,(
% 145.86/18.87 ![X0,X1]: (c_lessequals(X0,X1,tc_nat)|c_lessequals(X1,X0,tc_nat))),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f682])).
% 145.86/18.87 fof(f1890,plain,(
% 145.86/18.87 ![X0,X1]: (c_Fun_Oinj__on(c_COMBI(X0),X1,X0,X0))),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f712])).
% 145.86/18.87 fof(f1911,plain,(
% 145.86/18.87 ![V_f,V_A,T_a,T_b]: (c_Fun_Oinj__on(V_f,V_A,T_a,T_b)|(![V_B]: ~c_Fun_Obij__betw(V_f,V_A,V_B,T_a,T_b)))),
% 145.86/18.87 inference(miniscoping,[status(esa)],[f724])).
% 145.86/18.87 fof(f1912,plain,(
% 145.86/18.87 ![X0,X1,X2,X3,X4]: (c_Fun_Oinj__on(X0,X1,X2,X3)|~c_Fun_Obij__betw(X0,X1,X4,X2,X3))),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f1911])).
% 145.86/18.87 fof(f1913,plain,(
% 145.86/18.87 ![X0,X1]: (c_Fun_Obij__betw(c_List_Osko__SetInterval__Xex__bij__betw__finite__nat__1__1(X0,X1),X0,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(X0,X1),tc_nat),X1,tc_nat)|~c_Finite__Set_Ofinite(X0,X1))),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f725])).
% 145.86/18.87 fof(f1936,plain,(
% 145.86/18.87 c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi)),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f740])).
% 145.86/18.87 fof(f1944,plain,(
% 145.86/18.87 ![X0,X1]: (c_Finite__Set_Ocard(X0,X1)=c_HOL_Ozero__class_Ozero(tc_nat)|c_Finite__Set_Ofinite(X0,X1))),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f745])).
% 145.86/18.87 fof(f1945,plain,(
% 145.86/18.87 ![X0]: (c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0)=c_HOL_Ozero__class_Ozero(tc_nat))),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f746])).
% 145.86/18.87 fof(f1957,plain,(
% 145.86/18.87 ![X0,X1,X2,X3]: (~c_Fun_Oinj__on(X0,X1,X2,X3)|c_Fun_Obij__betw(X0,X1,c_Set_Oimage(X0,X1,X2,X3),X2,X3))),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f756])).
% 145.86/18.87 fof(f1977,plain,(
% 145.86/18.87 ![X0]: (c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)=c_SetInterval_Oord__class_OlessThan(X0,tc_nat))),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f769])).
% 145.86/18.87 fof(f2000,plain,(
% 145.86/18.87 (![V_h]: (~c_Set_Oimage(V_h,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat)=c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat)|~c_Fun_Oinj__on(V_h,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat)))|v_thesis____),
% 145.86/18.87 inference(miniscoping,[status(esa)],[f782])).
% 145.86/18.87 fof(f2001,plain,(
% 145.86/18.87 ![X0]: (~c_Set_Oimage(X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat)=c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat)|~c_Fun_Oinj__on(X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat)|v_thesis____)),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f2000])).
% 145.86/18.87 fof(f2002,plain,(
% 145.86/18.87 ![X0,X1]: (hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X1)))),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f783])).
% 145.86/18.87 fof(f2007,plain,(
% 145.86/18.87 ~v_thesis____),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f786])).
% 145.86/18.87 fof(f2038,plain,(
% 145.86/18.87 class_Ring__and__Field_Ono__zero__divisors(tc_nat)),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f802])).
% 145.86/18.87 fof(f2041,plain,(
% 145.86/18.87 class_Ring__and__Field_Ozero__neq__one(tc_nat)),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f805])).
% 145.86/18.87 fof(f2042,plain,(
% 145.86/18.87 class_Lattices_Oupper__semilattice(tc_nat)),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f806])).
% 145.86/18.87 fof(f2043,plain,(
% 145.86/18.87 class_Lattices_Olower__semilattice(tc_nat)),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f807])).
% 145.86/18.87 fof(f2046,plain,(
% 145.86/18.87 class_Ring__and__Field_Omult__zero(tc_nat)),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f810])).
% 145.86/18.87 fof(f2047,plain,(
% 145.86/18.87 class_Lattices_Odistrib__lattice(tc_nat)),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f811])).
% 145.86/18.87 fof(f2050,plain,(
% 145.86/18.87 class_Orderings_Olinorder(tc_nat)),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f814])).
% 145.86/18.87 fof(f2051,plain,(
% 145.86/18.87 class_Lattices_Olattice(tc_nat)),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f815])).
% 145.86/18.87 fof(f2052,plain,(
% 145.86/18.87 class_Orderings_Oorder(tc_nat)),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f816])).
% 145.86/18.87 fof(f2053,plain,(
% 145.86/18.87 class_Orderings_Obot(tc_nat)),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f817])).
% 145.86/18.87 fof(f2054,plain,(
% 145.86/18.87 class_Power_Opower(tc_nat)),
% 145.86/18.87 inference(cnf_transformation,[status(esa)],[f818])).
% 145.86/18.87 fof(f2075,plain,(
% 145.86/18.87 spl0_0 <=> ~c_Set_Oimage(X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat)=c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat)|~c_Fun_Oinj__on(X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat)),
% 145.86/18.87 introduced(split_symbol_definition)).
% 145.86/18.87 fof(f2076,plain,(
% 145.86/18.87 ![X0]: (~c_Set_Oimage(X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat)=c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat)|~c_Fun_Oinj__on(X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat)|~spl0_0)),
% 145.86/18.87 inference(component_clause,[status(thm)],[f2075])).
% 145.86/18.87 fof(f2078,plain,(
% 145.86/18.87 spl0_1 <=> v_thesis____),
% 145.86/18.87 introduced(split_symbol_definition)).
% 145.86/18.87 fof(f2079,plain,(
% 145.86/18.87 v_thesis____|~spl0_1),
% 145.86/18.87 inference(component_clause,[status(thm)],[f2078])).
% 145.86/18.87 fof(f2081,plain,(
% 145.86/18.87 spl0_0|spl0_1),
% 145.86/18.87 inference(split_clause,[status(thm)],[f2001,f2075,f2078])).
% 145.86/18.87 fof(f2091,plain,(
% 145.86/18.87 spl0_2 <=> class_Orderings_Oorder(tc_nat)),
% 145.86/18.87 introduced(split_symbol_definition)).
% 145.86/18.87 fof(f2093,plain,(
% 145.86/18.87 ~class_Orderings_Oorder(tc_nat)|spl0_2),
% 145.86/18.87 inference(component_clause,[status(thm)],[f2091])).
% 145.86/18.87 fof(f2094,plain,(
% 145.86/18.87 spl0_3 <=> ~c_lessequals(c_Suc(X0),X0,tc_nat)),
% 145.86/18.87 introduced(split_symbol_definition)).
% 145.86/18.87 fof(f2095,plain,(
% 145.86/18.87 ![X0]: (~c_lessequals(c_Suc(X0),X0,tc_nat)|~spl0_3)),
% 145.86/18.87 inference(component_clause,[status(thm)],[f2094])).
% 145.86/18.87 fof(f2097,plain,(
% 145.86/18.87 ![X0]: (~class_Orderings_Oorder(tc_nat)|~c_lessequals(c_Suc(X0),X0,tc_nat))),
% 145.86/18.87 inference(resolution,[status(thm)],[f1224,f838])).
% 145.86/18.87 fof(f2098,plain,(
% 145.86/18.87 ~spl0_2|spl0_3),
% 145.86/18.87 inference(split_clause,[status(thm)],[f2097,f2091,f2094])).
% 145.86/18.87 fof(f2099,plain,(
% 145.86/18.87 $false|spl0_2),
% 145.86/18.87 inference(forward_subsumption_resolution,[status(thm)],[f2093,f2052])).
% 145.86/18.87 fof(f2100,plain,(
% 145.86/18.87 spl0_2),
% 145.86/18.87 inference(contradiction_clause,[status(thm)],[f2099])).
% 145.86/18.87 fof(f2121,plain,(
% 145.86/18.87 spl0_7 <=> class_Lattices_Odistrib__lattice(tc_nat)),
% 145.86/18.87 introduced(split_symbol_definition)).
% 145.86/18.87 fof(f2123,plain,(
% 145.86/18.87 ~class_Lattices_Odistrib__lattice(tc_nat)|spl0_7),
% 145.86/18.87 inference(component_clause,[status(thm)],[f2121])).
% 145.86/18.87 fof(f2129,plain,(
% 145.86/18.87 $false|spl0_7),
% 145.86/18.87 inference(forward_subsumption_resolution,[status(thm)],[f2123,f2047])).
% 145.86/18.87 fof(f2130,plain,(
% 145.86/18.87 spl0_7),
% 145.86/18.87 inference(contradiction_clause,[status(thm)],[f2129])).
% 145.86/18.87 fof(f2134,plain,(
% 145.86/18.87 ![X0]: (c_Lattices_Olower__semilattice__class_Oinf(X0,X0,tc_nat)=X0)),
% 145.86/18.87 inference(resolution,[status(thm)],[f1699,f2043])).
% 145.86/18.87 fof(f5416,plain,(
% 145.86/18.87 ![X0,X1]: (c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_nat),tc_nat))),
% 145.86/18.87 inference(resolution,[status(thm)],[f1050,f2042])).
% 145.86/18.87 fof(f5488,plain,(
% 145.86/18.87 ![X0]: (~c_HOL_Oord__class_Oless(c_Suc(X0),X0,tc_nat)|~spl0_3)),
% 145.86/18.87 inference(resolution,[status(thm)],[f1430,f2095])).
% 145.86/18.87 fof(f5502,plain,(
% 145.86/18.87 ![X0,X1]: (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,tc_nat),X1,tc_nat))),
% 145.86/18.87 inference(resolution,[status(thm)],[f1499,f2051])).
% 145.86/18.87 fof(f5722,plain,(
% 145.86/18.87 ![X0]: (~c_lessequals(c_Suc(c_Suc(X0)),X0,tc_nat)|~spl0_3)),
% 145.86/18.87 inference(resolution,[status(thm)],[f5488,f838])).
% 145.86/18.87 fof(f6398,plain,(
% 145.86/18.87 ![X0]: (c_lessequals(X0,c_Suc(c_Suc(X0)),tc_nat)|~spl0_3)),
% 145.86/18.87 inference(resolution,[status(thm)],[f1847,f5722])).
% 145.86/18.87 fof(f6443,plain,(
% 145.86/18.87 ![X0,X1,X2]: (~hBOOL(c_in(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)))),
% 145.86/18.87 inference(resolution,[status(thm)],[f984,f1206])).
% 145.86/18.87 fof(f6447,plain,(
% 145.86/18.87 ![X0,X1]: (c_HOL_Oord__class_Oless(X0,X1,tc_nat)|c_lessequals(X1,X0,tc_nat))),
% 145.86/18.87 inference(resolution,[status(thm)],[f992,f2050])).
% 145.86/18.87 fof(f6455,plain,(
% 145.86/18.87 ![X0,X1]: (~c_HOL_Oord__class_Oless(X0,X1,tc_nat)|~c_lessequals(X1,X0,tc_nat))),
% 145.86/18.87 inference(resolution,[status(thm)],[f995,f2050])).
% 145.86/18.87 fof(f6456,plain,(
% 145.86/18.87 ![X0]: (~c_lessequals(c_Suc(X0),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))),
% 145.86/18.87 inference(resolution,[status(thm)],[f6455,f1037])).
% 145.86/18.87 fof(f7885,plain,(
% 145.86/18.87 ![X0,X1]: (c_Lattices_Olower__semilattice__class_Oinf(X0,X1,tc_nat)=c_Lattices_Olower__semilattice__class_Oinf(X1,X0,tc_nat))),
% 145.86/18.87 inference(resolution,[status(thm)],[f1061,f2043])).
% 145.86/18.87 fof(f8929,plain,(
% 145.86/18.87 spl0_43 <=> c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_nat),X2,tc_nat)=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X0,tc_nat),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_nat),tc_nat)),
% 145.86/18.87 introduced(split_symbol_definition)).
% 145.86/18.87 fof(f8930,plain,(
% 145.86/18.87 ![X0,X1,X2]: (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_nat),X2,tc_nat)=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X0,tc_nat),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_nat),tc_nat)|~spl0_43)),
% 145.86/18.87 inference(component_clause,[status(thm)],[f8929])).
% 145.86/18.87 fof(f8932,plain,(
% 145.86/18.87 ![X0,X1,X2]: (~class_Lattices_Odistrib__lattice(tc_nat)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_nat),X2,tc_nat)=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X0,tc_nat),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_nat),tc_nat))),
% 145.86/18.87 inference(paramodulation,[status(thm)],[f7885,f842])).
% 145.86/18.87 fof(f8933,plain,(
% 145.86/18.87 ~spl0_7|spl0_43),
% 145.86/18.87 inference(split_clause,[status(thm)],[f8932,f2121,f8929])).
% 145.86/18.87 fof(f9049,plain,(
% 145.86/18.87 ![X0,X1]: (c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Olower__semilattice__class_Oinf(X0,X1,tc_nat),tc_nat)=X0)),
% 145.86/18.87 inference(resolution,[status(thm)],[f1230,f2051])).
% 145.86/18.87 fof(f9231,plain,(
% 145.86/18.87 ![X0,X1]: (c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Olower__semilattice__class_Oinf(X1,X0,tc_nat),tc_nat)=X0)),
% 145.86/18.87 inference(paramodulation,[status(thm)],[f7885,f9049])).
% 145.86/18.87 fof(f9430,plain,(
% 145.86/18.87 ![X0,X1]: (c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_nat)=c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_nat))),
% 145.86/18.87 inference(resolution,[status(thm)],[f1330,f2042])).
% 145.86/18.87 fof(f13446,plain,(
% 145.86/18.87 ![X0]: (~c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat))),
% 145.86/18.87 inference(resolution,[status(thm)],[f956,f6456])).
% 145.86/18.87 fof(f13471,plain,(
% 145.86/18.87 ![X0,X1]: (c_Lattices_Olower__semilattice__class_Oinf(X0,X1,tc_nat)=X0|~c_lessequals(X0,X1,tc_nat))),
% 145.86/18.87 inference(resolution,[status(thm)],[f1034,f2043])).
% 145.86/18.87 fof(f13590,plain,(
% 145.86/18.87 spl0_90 <=> c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_nat),X0,tc_nat)=c_Orderings_Obot__class_Obot(tc_nat)),
% 145.86/18.87 introduced(split_symbol_definition)).
% 145.86/18.87 fof(f13591,plain,(
% 145.86/18.87 ![X0]: (c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_nat),X0,tc_nat)=c_Orderings_Obot__class_Obot(tc_nat)|~spl0_90)),
% 145.86/18.87 inference(component_clause,[status(thm)],[f13590])).
% 145.86/18.87 fof(f13593,plain,(
% 145.86/18.87 spl0_91 <=> class_Orderings_Obot(tc_nat)),
% 145.86/18.87 introduced(split_symbol_definition)).
% 145.86/18.87 fof(f13595,plain,(
% 145.86/18.87 ~class_Orderings_Obot(tc_nat)|spl0_91),
% 145.86/18.87 inference(component_clause,[status(thm)],[f13593])).
% 145.86/18.87 fof(f13596,plain,(
% 145.86/18.87 ![X0]: (c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_nat),X0,tc_nat)=c_Orderings_Obot__class_Obot(tc_nat)|~class_Orderings_Obot(tc_nat))),
% 145.86/18.87 inference(resolution,[status(thm)],[f13471,f923])).
% 145.86/18.87 fof(f13597,plain,(
% 145.86/18.87 spl0_90|~spl0_91),
% 145.86/18.87 inference(split_clause,[status(thm)],[f13596,f13590,f13593])).
% 145.86/18.87 fof(f13598,plain,(
% 145.86/18.87 ![X0]: (c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))),
% 145.86/18.87 inference(resolution,[status(thm)],[f13471,f1618])).
% 145.86/18.87 fof(f13614,plain,(
% 145.86/18.87 ![X0]: (c_Lattices_Olower__semilattice__class_Oinf(X0,c_Suc(c_Suc(X0)),tc_nat)=X0|~spl0_3)),
% 145.86/18.87 inference(resolution,[status(thm)],[f13471,f6398])).
% 145.86/18.87 fof(f13629,plain,(
% 145.86/18.87 ![X0,X1]: (c_Lattices_Olower__semilattice__class_Oinf(X0,X1,tc_nat)=X0|~c_HOL_Oord__class_Oless(X0,X1,tc_nat))),
% 145.86/18.87 inference(resolution,[status(thm)],[f13471,f1430])).
% 145.86/18.87 fof(f13638,plain,(
% 145.86/18.87 $false|spl0_91),
% 145.86/18.87 inference(forward_subsumption_resolution,[status(thm)],[f13595,f2053])).
% 145.86/18.87 fof(f13639,plain,(
% 145.86/18.87 spl0_91),
% 145.86/18.87 inference(contradiction_clause,[status(thm)],[f13638])).
% 145.86/18.87 fof(f13656,plain,(
% 145.86/18.87 ![X0]: (c_Lattices_Oupper__semilattice__class_Osup(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=X0)),
% 145.86/18.87 inference(paramodulation,[status(thm)],[f13598,f9231])).
% 145.86/18.87 fof(f13753,plain,(
% 145.86/18.87 ![X0]: (c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)=X0)),
% 145.86/18.87 inference(paramodulation,[status(thm)],[f9430,f13656])).
% 145.86/18.87 fof(f13888,plain,(
% 145.86/18.87 ![X0]: (c_Lattices_Olower__semilattice__class_Oinf(X0,c_Suc(X0),tc_nat)=X0)),
% 145.86/18.87 inference(resolution,[status(thm)],[f13629,f1454])).
% 145.86/18.87 fof(f13900,plain,(
% 145.86/18.87 ![X0,X1]: (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(c_Suc(X0),X1,tc_nat),X0,tc_nat)=c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Olower__semilattice__class_Oinf(X1,X0,tc_nat),tc_nat)|~spl0_43)),
% 145.86/18.87 inference(paramodulation,[status(thm)],[f13888,f8930])).
% 145.86/18.87 fof(f13901,plain,(
% 145.86/18.87 ![X0,X1]: (c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Suc(X0),X1,tc_nat),tc_nat)=c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Olower__semilattice__class_Oinf(X1,X0,tc_nat),tc_nat)|~spl0_43)),
% 145.86/18.87 inference(forward_demodulation,[status(thm)],[f7885,f13900])).
% 145.86/18.87 fof(f13902,plain,(
% 145.86/18.87 ![X0,X1]: (c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Suc(X0),X1,tc_nat),tc_nat)=X0|~spl0_43)),
% 145.86/18.87 inference(forward_demodulation,[status(thm)],[f9231,f13901])).
% 145.86/18.87 fof(f14023,plain,(
% 145.86/18.87 ![X0,X1]: (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(c_Suc(c_Suc(X0)),X1,tc_nat),X0,tc_nat)=c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Olower__semilattice__class_Oinf(X1,X0,tc_nat),tc_nat)|~spl0_43|~spl0_3)),
% 145.86/18.87 inference(paramodulation,[status(thm)],[f13614,f8930])).
% 145.86/18.87 fof(f14024,plain,(
% 145.86/18.87 ![X0,X1]: (c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Suc(c_Suc(X0)),X1,tc_nat),tc_nat)=c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Olower__semilattice__class_Oinf(X1,X0,tc_nat),tc_nat)|~spl0_43|~spl0_3)),
% 145.86/18.87 inference(forward_demodulation,[status(thm)],[f7885,f14023])).
% 145.86/18.87 fof(f14025,plain,(
% 145.86/18.87 ![X0,X1]: (c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Suc(c_Suc(X0)),X1,tc_nat),tc_nat)=X0|~spl0_43|~spl0_3)),
% 145.86/18.87 inference(forward_demodulation,[status(thm)],[f9231,f14024])).
% 145.86/18.87 fof(f14262,plain,(
% 145.86/18.87 ![X0]: (c_Lattices_Oupper__semilattice__class_Osup(X0,c_Orderings_Obot__class_Obot(tc_nat),tc_nat)=X0|~spl0_90)),
% 145.86/18.87 inference(paramodulation,[status(thm)],[f13591,f9231])).
% 145.86/18.87 fof(f14360,plain,(
% 145.86/18.87 c_Orderings_Obot__class_Obot(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_90),
% 145.86/18.87 inference(paramodulation,[status(thm)],[f13753,f14262])).
% 145.86/18.87 fof(f14448,plain,(
% 145.86/18.87 ![X0]: (~c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(c_Orderings_Obot__class_Obot(tc_nat)),tc_nat)|~spl0_90)),
% 145.86/18.87 inference(backward_demodulation,[status(thm)],[f14360,f13446])).
% 145.86/18.87 fof(f14455,plain,(
% 145.86/18.87 ![X0,X1]: (c_Finite__Set_Ocard(X0,X1)=c_Orderings_Obot__class_Obot(tc_nat)|c_Finite__Set_Ofinite(X0,X1)|~spl0_90)),
% 145.86/18.87 inference(backward_demodulation,[status(thm)],[f14360,f1944])).
% 145.86/18.87 fof(f14456,plain,(
% 145.86/18.87 ![X0]: (c_HOL_Oord__class_Oless(c_Orderings_Obot__class_Obot(tc_nat),c_Suc(X0),tc_nat)|~spl0_90)),
% 145.86/18.87 inference(backward_demodulation,[status(thm)],[f14360,f1037])).
% 145.86/18.87 fof(f14460,plain,(
% 145.86/18.87 ![X0]: (~c_HOL_Oord__class_Oless(X0,c_Orderings_Obot__class_Obot(tc_nat),tc_nat)|~spl0_90)),
% 145.86/18.87 inference(backward_demodulation,[status(thm)],[f14360,f1616])).
% 145.86/18.87 fof(f14462,plain,(
% 145.86/18.87 ![X0]: (~c_Set_Oimage(X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat)=c_SetInterval_Oord__class_OatLeastLessThan(c_Orderings_Obot__class_Obot(tc_nat),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat)|~c_Fun_Oinj__on(X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat)|~spl0_90|~spl0_0)),
% 145.86/18.87 inference(backward_demodulation,[status(thm)],[f14360,f2076])).
% 145.86/18.87 fof(f14734,plain,(
% 145.86/18.87 ![X0,X1]: (c_Lattices_Olower__semilattice__class_Oinf(X0,X1,tc_nat)=X1|~c_lessequals(X1,X0,tc_nat))),
% 145.86/18.87 inference(resolution,[status(thm)],[f1036,f2043])).
% 145.86/18.87 fof(f14857,plain,(
% 145.86/18.87 ![X0,X1]: (c_Lattices_Olower__semilattice__class_Oinf(X0,X1,tc_nat)=X1|~c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat))),
% 145.86/18.87 inference(resolution,[status(thm)],[f14734,f956])).
% 145.86/18.87 fof(f15135,plain,(
% 145.86/18.87 ![X0]: (~c_lessequals(c_Suc(c_Suc(X0)),c_Suc(c_Orderings_Obot__class_Obot(tc_nat)),tc_nat)|~spl0_90)),
% 145.86/18.87 inference(resolution,[status(thm)],[f14448,f943])).
% 145.86/18.87 fof(f15215,plain,(
% 145.86/18.87 ![X0,X1]: (c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Suc(X0),X1,tc_nat),tc_nat)|~spl0_43)),
% 145.86/18.87 inference(paramodulation,[status(thm)],[f13902,f5502])).
% 145.86/18.87 fof(f15304,plain,(
% 145.86/18.87 ![X0,X1]: (~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Suc(c_Suc(X0)),X1,tc_nat),X0,tc_nat)|~spl0_43)),
% 145.86/18.87 inference(resolution,[status(thm)],[f15215,f1252])).
% 145.86/18.87 fof(f15730,plain,(
% 145.86/18.87 ![X0,X1]: (c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_nat)=X0|~c_lessequals(X1,X0,tc_nat))),
% 145.86/18.87 inference(resolution,[status(thm)],[f1434,f2042])).
% 145.86/18.87 fof(f15866,plain,(
% 145.86/18.87 ![X0,X1]: (c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_nat)=X0|c_lessequals(X0,X1,tc_nat))),
% 145.86/18.87 inference(resolution,[status(thm)],[f15730,f1847])).
% 145.86/18.87 fof(f15971,plain,(
% 145.86/18.87 ![X0,X1]: (~c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_nat)=X1|c_lessequals(X0,X1,tc_nat))),
% 145.86/18.87 inference(resolution,[status(thm)],[f1435,f2042])).
% 145.86/18.87 fof(f15995,plain,(
% 145.86/18.87 ![X0,X1]: (~c_Lattices_Oupper__semilattice__class_Osup(c_Suc(X0),X1,tc_nat)=X1|~c_lessequals(X1,X0,tc_nat))),
% 145.86/18.87 inference(resolution,[status(thm)],[f15971,f1252])).
% 145.86/18.87 fof(f16002,plain,(
% 145.86/18.87 ![X0,X1]: (~c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_nat)=X1|X1=X0|~c_lessequals(X1,X0,tc_nat))),
% 145.86/18.87 inference(resolution,[status(thm)],[f15971,f1242])).
% 145.86/18.87 fof(f16007,plain,(
% 145.86/18.87 ![X0,X1]: (c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_nat)=X1|~c_lessequals(X0,X1,tc_nat))),
% 145.86/18.87 inference(resolution,[status(thm)],[f1436,f2042])).
% 145.86/18.87 fof(f16133,plain,(
% 145.86/18.87 ![X0,X1]: (c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_nat)=X1|c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_nat)=X0)),
% 145.86/18.87 inference(resolution,[status(thm)],[f16007,f15866])).
% 145.86/18.87 fof(f16138,plain,(
% 145.86/18.87 ![X0,X1]: (c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_nat)=X1|c_HOL_Oord__class_Oless(X1,X0,tc_nat))),
% 145.86/18.87 inference(resolution,[status(thm)],[f16007,f6447])).
% 145.86/18.87 fof(f16139,plain,(
% 145.86/18.87 ![X0,X1]: (c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_nat)=X1|c_lessequals(X1,X0,tc_nat))),
% 145.86/18.87 inference(resolution,[status(thm)],[f16007,f1847])).
% 145.86/18.87 fof(f16195,plain,(
% 145.86/18.87 ![X0]: (c_lessequals(c_Suc(c_Orderings_Obot__class_Obot(tc_nat)),c_Suc(X0),tc_nat)|~spl0_90)),
% 145.86/18.87 inference(resolution,[status(thm)],[f15135,f1253])).
% 145.86/18.87 fof(f16203,plain,(
% 145.86/18.87 ![X0]: (c_HOL_Oord__class_Oless(c_Suc(c_Orderings_Obot__class_Obot(tc_nat)),c_Suc(c_Suc(X0)),tc_nat)|~spl0_90)),
% 145.86/18.87 inference(resolution,[status(thm)],[f15135,f6447])).
% 145.86/18.87 fof(f16207,plain,(
% 145.86/18.87 ![X0]: (c_Lattices_Oupper__semilattice__class_Osup(c_Suc(c_Orderings_Obot__class_Obot(tc_nat)),c_Suc(X0),tc_nat)=c_Suc(X0)|~spl0_90)),
% 145.86/18.87 inference(resolution,[status(thm)],[f16195,f16007])).
% 145.86/18.87 fof(f16233,plain,(
% 145.86/18.87 ![X0,X1]: (~c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Suc(c_Suc(X0)),X1,tc_nat),X0,tc_nat)=X0|~spl0_43)),
% 145.86/18.87 inference(resolution,[status(thm)],[f15304,f15971])).
% 145.86/18.87 fof(f16234,plain,(
% 145.86/18.87 ![X0,X1]: (~c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Suc(c_Suc(X0)),X1,tc_nat),tc_nat)=X0|~spl0_43)),
% 145.86/18.87 inference(forward_demodulation,[status(thm)],[f9430,f16233])).
% 145.86/18.87 fof(f16494,plain,(
% 145.86/18.87 ![X0,X1]: (c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_nat)=X1|c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_nat)=X0)),
% 145.86/18.87 inference(resolution,[status(thm)],[f16139,f16007])).
% 145.86/18.87 fof(f16591,plain,(
% 145.86/18.87 ![X0,X1]: (c_HOL_Oord__class_Oless(X0,X1,tc_nat)|~c_lessequals(c_Suc(c_Suc(X0)),X1,tc_nat))),
% 145.86/18.87 inference(resolution,[status(thm)],[f1792,f943])).
% 145.86/18.87 fof(f17372,plain,(
% 145.86/18.87 ![X0]: (c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0)=c_Orderings_Obot__class_Obot(tc_nat)|~spl0_90)),
% 145.86/18.87 inference(forward_demodulation,[status(thm)],[f14360,f1945])).
% 145.86/18.87 fof(f17373,plain,(
% 145.86/18.87 ![X0]: (c_SetInterval_Oord__class_OatLeastLessThan(c_Orderings_Obot__class_Obot(tc_nat),X0,tc_nat)=c_SetInterval_Oord__class_OlessThan(X0,tc_nat)|~spl0_90)),
% 145.86/18.87 inference(forward_demodulation,[status(thm)],[f14360,f1977])).
% 145.86/18.87 fof(f17375,plain,(
% 145.86/18.87 ![X0]: (~c_Set_Oimage(X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat)=c_SetInterval_Oord__class_OlessThan(c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat)|~c_Fun_Oinj__on(X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat)|~spl0_90|~spl0_0)),
% 145.86/18.87 inference(backward_demodulation,[status(thm)],[f17373,f14462])).
% 145.86/18.87 fof(f19749,plain,(
% 145.86/18.87 ![X0,X1]: (~c_Lattices_Oupper__semilattice__class_Osup(c_Suc(c_Suc(X0)),X1,tc_nat)=X0|c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Suc(c_Suc(X0)),X1,tc_nat),tc_nat)=X0|~spl0_43)),
% 145.86/18.87 inference(paramodulation,[status(thm)],[f16133,f16234])).
% 145.86/18.87 fof(f19750,plain,(
% 145.86/18.87 ![X0,X1]: (~c_Lattices_Oupper__semilattice__class_Osup(c_Suc(c_Suc(X0)),X1,tc_nat)=X0|~spl0_43)),
% 145.86/18.87 inference(forward_subsumption_resolution,[status(thm)],[f19749,f16234])).
% 145.86/18.87 fof(f21404,plain,(
% 145.86/18.87 ![X0,X1,X2]: (c_Finite__Set_Ocard(c_Set_Oinsert(X0,X1,X2),X2)=c_Suc(c_Finite__Set_Ocard(X1,X2))|hBOOL(c_in(X0,X1,X2))|c_Finite__Set_Ocard(X1,X2)=c_Orderings_Obot__class_Obot(tc_nat)|~spl0_90)),
% 145.86/18.87 inference(resolution,[status(thm)],[f986,f14455])).
% 145.86/18.87 fof(f21428,plain,(
% 145.86/18.87 ![X0,X1,X2]: (c_Finite__Set_Ocard(c_Set_Oinsert(X0,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),X2)=c_Suc(c_Finite__Set_Ocard(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2))|c_Finite__Set_Ocard(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)=c_Orderings_Obot__class_Obot(tc_nat)|X0=X1|~spl0_90)),
% 145.86/18.87 inference(resolution,[status(thm)],[f21404,f851])).
% 145.86/18.87 fof(f21991,plain,(
% 145.86/18.87 ![X0,X1]: (hBOOL(c_in(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1))|c_Finite__Set_Ocard(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)=c_Suc(c_Orderings_Obot__class_Obot(tc_nat))|~spl0_90)),
% 145.86/18.87 inference(forward_demodulation,[status(thm)],[f17372,f1000])).
% 145.86/18.87 fof(f21992,plain,(
% 145.86/18.87 ![X0,X1]: (c_Finite__Set_Ocard(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)=c_Suc(c_Orderings_Obot__class_Obot(tc_nat))|~spl0_90)),
% 145.86/18.87 inference(forward_subsumption_resolution,[status(thm)],[f21991,f6443])).
% 145.86/18.87 fof(f23710,plain,(
% 145.86/18.87 spl0_317 <=> c_HOL_Oord__class_Oless(c_Suc(c_Orderings_Obot__class_Obot(tc_nat)),c_Suc(c_Suc(c_Orderings_Obot__class_Obot(tc_nat))),tc_nat)),
% 145.86/18.87 introduced(split_symbol_definition)).
% 145.86/18.87 fof(f23712,plain,(
% 145.86/18.87 ~c_HOL_Oord__class_Oless(c_Suc(c_Orderings_Obot__class_Obot(tc_nat)),c_Suc(c_Suc(c_Orderings_Obot__class_Obot(tc_nat))),tc_nat)|spl0_317),
% 145.86/18.87 inference(component_clause,[status(thm)],[f23710])).
% 145.86/18.87 fof(f24740,plain,(
% 145.86/18.87 ![X0,X1]: (c_Lattices_Olower__semilattice__class_Oinf(X0,X1,tc_nat)=X1|c_Lattices_Oupper__semilattice__class_Osup(c_Suc(X0),X1,tc_nat)=X1)),
% 145.86/18.87 inference(resolution,[status(thm)],[f14857,f16138])).
% 145.86/18.87 fof(f25418,plain,(
% 145.86/18.87 ![X0,X1,X2]: (c_Finite__Set_Ocard(c_Set_Oinsert(X0,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),X2)=c_Suc(c_Suc(c_Orderings_Obot__class_Obot(tc_nat)))|c_Finite__Set_Ocard(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)=c_Orderings_Obot__class_Obot(tc_nat)|X0=X1|~spl0_90)),
% 145.86/18.87 inference(forward_demodulation,[status(thm)],[f21992,f21428])).
% 145.86/18.87 fof(f25419,plain,(
% 145.86/18.87 ![X0,X1,X2]: (c_Finite__Set_Ocard(c_Set_Oinsert(X0,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),X2)=c_Suc(c_Suc(c_Orderings_Obot__class_Obot(tc_nat)))|c_Suc(c_Orderings_Obot__class_Obot(tc_nat))=c_Orderings_Obot__class_Obot(tc_nat)|X0=X1|~spl0_90)),
% 145.86/18.87 inference(forward_demodulation,[status(thm)],[f21992,f25418])).
% 145.86/18.87 fof(f25420,plain,(
% 145.86/18.87 ![X0,X1,X2]: (c_Finite__Set_Ocard(c_Set_Oinsert(X0,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),X2)=c_Suc(c_Suc(c_Orderings_Obot__class_Obot(tc_nat)))|X0=X1|~spl0_90)),
% 145.86/18.87 inference(forward_subsumption_resolution,[status(thm)],[f25419,f1553])).
% 145.86/18.87 fof(f25877,plain,(
% 145.86/18.87 ![X0,X1]: (~c_Lattices_Oupper__semilattice__class_Osup(c_Suc(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_nat)),X1,tc_nat)=X1)),
% 145.86/18.87 inference(resolution,[status(thm)],[f15995,f5416])).
% 145.86/18.87 fof(f25878,plain,(
% 145.86/18.87 ![X0,X1]: (~c_Lattices_Oupper__semilattice__class_Osup(X0,c_Suc(c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_nat)),tc_nat)=X0)),
% 145.86/18.87 inference(forward_demodulation,[status(thm)],[f9430,f25877])).
% 145.86/18.87 fof(f25935,plain,(
% 145.86/18.87 ![X0,X1]: (~c_Suc(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_nat))=X1|c_Lattices_Oupper__semilattice__class_Osup(c_Suc(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_nat)),X1,tc_nat)=X1)),
% 145.86/18.87 inference(paramodulation,[status(thm)],[f16494,f25878])).
% 145.86/18.87 fof(f25936,plain,(
% 145.86/18.87 ![X0,X1]: (~c_Suc(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_nat))=X1|c_Lattices_Oupper__semilattice__class_Osup(X1,c_Suc(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_nat)),tc_nat)=X1)),
% 145.86/18.87 inference(forward_demodulation,[status(thm)],[f9430,f25935])).
% 145.86/18.87 fof(f25937,plain,(
% 145.86/18.87 ![X0,X1]: (~c_Suc(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_nat))=X1)),
% 145.86/18.87 inference(forward_subsumption_resolution,[status(thm)],[f25936,f25878])).
% 145.86/18.87 fof(f26051,plain,(
% 145.86/18.87 ![X0,X1]: (~c_Suc(X0)=c_Lattices_Olower__semilattice__class_Oinf(X1,X0,tc_nat))),
% 145.86/18.87 inference(paramodulation,[status(thm)],[f9231,f25937])).
% 145.86/18.87 fof(f26058,plain,(
% 145.86/18.87 ![X0,X1]: (~c_Suc(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_nat))=X0)),
% 145.86/18.87 inference(paramodulation,[status(thm)],[f9430,f25937])).
% 145.86/18.87 fof(f26081,plain,(
% 145.86/18.87 ![X0,X1]: (~c_Suc(c_Lattices_Oupper__semilattice__class_Osup(c_Suc(c_Suc(X0)),X1,tc_nat))=X0|~spl0_43|~spl0_3)),
% 145.86/18.87 inference(paramodulation,[status(thm)],[f14025,f26051])).
% 145.86/18.87 fof(f32379,plain,(
% 145.86/18.87 ![X0,X1]: (c_Finite__Set_Ofinite(X0,X1)|~c_HOL_Oord__class_Oless(c_Orderings_Obot__class_Obot(tc_nat),c_Finite__Set_Ocard(X0,X1),tc_nat)|~spl0_90)),
% 145.86/18.87 inference(forward_demodulation,[status(thm)],[f14360,f1620])).
% 145.86/18.87 fof(f33211,plain,(
% 145.86/18.87 ![X0,X1]: (c_HOL_Oord__class_Oless(X0,X1,tc_nat)|~c_HOL_Oord__class_Oless(c_Suc(c_Suc(X0)),X1,tc_nat))),
% 145.86/18.87 inference(resolution,[status(thm)],[f16591,f1430])).
% 145.86/18.87 fof(f33594,plain,(
% 145.86/18.87 spl0_446 <=> c_HOL_Oord__class_Oless(c_Orderings_Obot__class_Obot(tc_nat),c_Suc(c_Suc(c_Orderings_Obot__class_Obot(tc_nat))),tc_nat)),
% 145.86/18.87 introduced(split_symbol_definition)).
% 145.86/18.87 fof(f33596,plain,(
% 145.86/18.87 ~c_HOL_Oord__class_Oless(c_Orderings_Obot__class_Obot(tc_nat),c_Suc(c_Suc(c_Orderings_Obot__class_Obot(tc_nat))),tc_nat)|spl0_446),
% 145.86/18.87 inference(component_clause,[status(thm)],[f33594])).
% 145.86/18.87 fof(f34023,plain,(
% 145.86/18.87 spl0_450 <=> c_HOL_Oord__class_Oless(c_Orderings_Obot__class_Obot(tc_nat),c_Orderings_Obot__class_Obot(tc_nat),tc_nat)),
% 145.86/18.87 introduced(split_symbol_definition)).
% 145.86/18.87 fof(f34024,plain,(
% 145.86/18.87 c_HOL_Oord__class_Oless(c_Orderings_Obot__class_Obot(tc_nat),c_Orderings_Obot__class_Obot(tc_nat),tc_nat)|~spl0_450),
% 145.86/18.87 inference(component_clause,[status(thm)],[f34023])).
% 145.86/18.87 fof(f34086,plain,(
% 145.86/18.87 $false|~spl0_90|spl0_446),
% 145.86/18.87 inference(forward_subsumption_resolution,[status(thm)],[f33596,f14456])).
% 145.86/18.87 fof(f34087,plain,(
% 145.86/18.87 ~spl0_90|spl0_446),
% 145.86/18.87 inference(contradiction_clause,[status(thm)],[f34086])).
% 145.86/18.87 fof(f36700,plain,(
% 145.86/18.87 ![X0,X1]: (~c_Suc(X0)=c_Suc(X1)|c_Lattices_Olower__semilattice__class_Oinf(X1,X0,tc_nat)=X0)),
% 145.86/18.87 inference(paramodulation,[status(thm)],[f24740,f26058])).
% 145.86/18.87 fof(f38684,plain,(
% 145.86/18.87 spl0_517 <=> c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi)),
% 145.86/18.87 introduced(split_symbol_definition)).
% 145.86/18.87 fof(f38686,plain,(
% 145.86/18.87 ~c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi)|spl0_517),
% 145.86/18.87 inference(component_clause,[status(thm)],[f38684])).
% 145.86/18.87 fof(f38739,plain,(
% 145.86/18.87 $false|~spl0_1),
% 145.86/18.87 inference(forward_subsumption_resolution,[status(thm)],[f2079,f2007])).
% 145.86/18.87 fof(f38740,plain,(
% 145.86/18.87 ~spl0_1),
% 145.86/18.87 inference(contradiction_clause,[status(thm)],[f38739])).
% 145.86/18.87 fof(f38772,plain,(
% 145.86/18.87 spl0_527 <=> c_Suc(c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi))=c_Suc(c_Orderings_Obot__class_Obot(tc_nat))),
% 145.86/18.87 introduced(split_symbol_definition)).
% 145.86/18.87 fof(f38773,plain,(
% 145.86/18.87 c_Suc(c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi))=c_Suc(c_Orderings_Obot__class_Obot(tc_nat))|~spl0_527),
% 145.86/18.87 inference(component_clause,[status(thm)],[f38772])).
% 145.86/18.87 fof(f38952,plain,(
% 145.86/18.87 spl0_533 <=> c_lessequals(c_Suc(c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi)),c_Suc(c_Orderings_Obot__class_Obot(tc_nat)),tc_nat)),
% 145.86/18.87 introduced(split_symbol_definition)).
% 145.86/18.87 fof(f38953,plain,(
% 145.86/18.87 c_lessequals(c_Suc(c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi)),c_Suc(c_Orderings_Obot__class_Obot(tc_nat)),tc_nat)|~spl0_533),
% 145.86/18.87 inference(component_clause,[status(thm)],[f38952])).
% 145.86/18.87 fof(f38954,plain,(
% 145.86/18.87 ~c_lessequals(c_Suc(c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi)),c_Suc(c_Orderings_Obot__class_Obot(tc_nat)),tc_nat)|spl0_533),
% 145.86/18.87 inference(component_clause,[status(thm)],[f38952])).
% 145.86/18.87 fof(f39012,plain,(
% 145.86/18.87 c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_nat),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat)=c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi)|~spl0_527),
% 145.86/18.87 inference(resolution,[status(thm)],[f38773,f36700])).
% 145.86/18.87 fof(f39013,plain,(
% 145.86/18.87 c_Orderings_Obot__class_Obot(tc_nat)=c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi)|~spl0_90|~spl0_527),
% 145.86/18.87 inference(forward_demodulation,[status(thm)],[f13591,f39012])).
% 145.86/18.87 fof(f39247,plain,(
% 145.86/18.87 $false|~spl0_90|spl0_317),
% 145.86/18.87 inference(forward_subsumption_resolution,[status(thm)],[f23712,f16203])).
% 145.86/18.87 fof(f39248,plain,(
% 145.86/18.87 ~spl0_90|spl0_317),
% 145.86/18.87 inference(contradiction_clause,[status(thm)],[f39247])).
% 145.86/18.87 fof(f40404,plain,(
% 145.86/18.87 c_lessequals(c_Suc(c_Orderings_Obot__class_Obot(tc_nat)),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat)|spl0_533),
% 145.86/18.87 inference(resolution,[status(thm)],[f38954,f1253])).
% 145.86/18.87 fof(f41102,plain,(
% 145.86/18.87 spl0_553 <=> c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi)=c_Suc(c_Orderings_Obot__class_Obot(tc_nat))),
% 145.86/18.87 introduced(split_symbol_definition)).
% 145.86/18.87 fof(f41103,plain,(
% 145.86/18.87 c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi)=c_Suc(c_Orderings_Obot__class_Obot(tc_nat))|~spl0_553),
% 145.86/18.87 inference(component_clause,[status(thm)],[f41102])).
% 145.86/18.87 fof(f41177,plain,(
% 145.86/18.87 spl0_560 <=> c_lessequals(c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),c_Suc(c_Orderings_Obot__class_Obot(tc_nat)),tc_nat)),
% 145.86/18.87 introduced(split_symbol_definition)).
% 145.86/18.87 fof(f41179,plain,(
% 145.86/18.87 ~c_lessequals(c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),c_Suc(c_Orderings_Obot__class_Obot(tc_nat)),tc_nat)|spl0_560),
% 145.86/18.87 inference(component_clause,[status(thm)],[f41177])).
% 145.86/18.87 fof(f41188,plain,(
% 145.86/18.87 c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi)=c_Suc(c_Orderings_Obot__class_Obot(tc_nat))|~c_lessequals(c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),c_Suc(c_Orderings_Obot__class_Obot(tc_nat)),tc_nat)|spl0_533),
% 145.86/18.87 inference(resolution,[status(thm)],[f40404,f1242])).
% 145.86/18.87 fof(f41189,plain,(
% 145.86/18.87 spl0_553|~spl0_560|spl0_533),
% 145.86/18.87 inference(split_clause,[status(thm)],[f41188,f41102,f41177,f38952])).
% 145.86/18.87 fof(f41842,plain,(
% 145.86/18.87 ~c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),c_Suc(c_Suc(c_Orderings_Obot__class_Obot(tc_nat))),tc_nat)|spl0_560),
% 145.86/18.87 inference(resolution,[status(thm)],[f41179,f956])).
% 145.86/18.87 fof(f41884,plain,(
% 145.86/18.87 spl0_570 <=> c_Lattices_Oupper__semilattice__class_Osup(c_Suc(c_Orderings_Obot__class_Obot(tc_nat)),c_Suc(c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi)),tc_nat)=c_Suc(c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi))),
% 145.86/18.87 introduced(split_symbol_definition)).
% 145.86/18.87 fof(f41886,plain,(
% 145.86/18.87 ~c_Lattices_Oupper__semilattice__class_Osup(c_Suc(c_Orderings_Obot__class_Obot(tc_nat)),c_Suc(c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi)),tc_nat)=c_Suc(c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi))|spl0_570),
% 145.86/18.87 inference(component_clause,[status(thm)],[f41884])).
% 145.86/18.87 fof(f41887,plain,(
% 145.86/18.87 ~c_Lattices_Oupper__semilattice__class_Osup(c_Suc(c_Orderings_Obot__class_Obot(tc_nat)),c_Suc(c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi)),tc_nat)=c_Suc(c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi))|c_Suc(c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi))=c_Suc(c_Orderings_Obot__class_Obot(tc_nat))|~spl0_533),
% 145.86/18.87 inference(resolution,[status(thm)],[f38953,f16002])).
% 145.86/18.87 fof(f41888,plain,(
% 145.86/18.87 ~spl0_570|spl0_527|~spl0_533),
% 145.86/18.87 inference(split_clause,[status(thm)],[f41887,f41884,f38772,f38952])).
% 145.86/18.87 fof(f43554,plain,(
% 145.86/18.87 ![X0]: (X0=c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool))|~c_lessequals(c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),c_Finite__Set_Ocard(X0,tc_Arrow__Order__Mirabelle_Oindi),tc_nat)|~c_lessequals(X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)))),
% 145.86/18.87 inference(resolution,[status(thm)],[f1203,f1936])).
% 145.86/18.87 fof(f43555,plain,(
% 145.86/18.87 ![X0]: (X0=c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool))|~c_lessequals(c_Suc(c_Orderings_Obot__class_Obot(tc_nat)),c_Finite__Set_Ocard(X0,tc_Arrow__Order__Mirabelle_Oindi),tc_nat)|~c_lessequals(X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool))|~spl0_553)),
% 145.86/18.87 inference(forward_demodulation,[status(thm)],[f41103,f43554])).
% 145.86/18.87 fof(f43556,plain,(
% 145.86/18.87 ![X0]: (X0=c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool))|~c_lessequals(c_Suc(c_Orderings_Obot__class_Obot(tc_nat)),c_Finite__Set_Ocard(X0,tc_Arrow__Order__Mirabelle_Oindi),tc_nat)|~spl0_553)),
% 145.86/18.87 inference(forward_subsumption_resolution,[status(thm)],[f43555,f1670])).
% 145.86/18.87 fof(f43564,plain,(
% 145.86/18.87 ![X0,X1,X2]: (X0=X1|~c_lessequals(c_Finite__Set_Ocard(X1,X2),c_Finite__Set_Ocard(X0,X2),tc_nat)|~c_lessequals(X0,X1,tc_fun(X2,tc_bool))|~c_HOL_Oord__class_Oless(c_Orderings_Obot__class_Obot(tc_nat),c_Finite__Set_Ocard(X1,X2),tc_nat)|~spl0_90)),
% 145.86/18.87 inference(resolution,[status(thm)],[f1203,f32379])).
% 145.86/18.87 fof(f43687,plain,(
% 145.86/18.87 spl0_588 <=> c_Set_Oinsert(X0,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi)=c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool))|X0=X1),
% 145.86/18.87 introduced(split_symbol_definition)).
% 145.86/18.87 fof(f43688,plain,(
% 145.86/18.87 ![X0,X1]: (c_Set_Oinsert(X0,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi)=c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool))|X0=X1|~spl0_588)),
% 145.86/18.87 inference(component_clause,[status(thm)],[f43687])).
% 145.86/18.87 fof(f43690,plain,(
% 145.86/18.87 spl0_589 <=> c_lessequals(c_Suc(c_Orderings_Obot__class_Obot(tc_nat)),c_Suc(c_Suc(c_Orderings_Obot__class_Obot(tc_nat))),tc_nat)),
% 145.86/18.87 introduced(split_symbol_definition)).
% 145.86/18.87 fof(f43692,plain,(
% 145.86/18.87 ~c_lessequals(c_Suc(c_Orderings_Obot__class_Obot(tc_nat)),c_Suc(c_Suc(c_Orderings_Obot__class_Obot(tc_nat))),tc_nat)|spl0_589),
% 145.86/18.87 inference(component_clause,[status(thm)],[f43690])).
% 145.86/18.87 fof(f43693,plain,(
% 145.86/18.87 ![X0,X1]: (c_Set_Oinsert(X0,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi)=c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool))|~c_lessequals(c_Suc(c_Orderings_Obot__class_Obot(tc_nat)),c_Suc(c_Suc(c_Orderings_Obot__class_Obot(tc_nat))),tc_nat)|X0=X1|~spl0_553|~spl0_90)),
% 145.86/18.87 inference(paramodulation,[status(thm)],[f25420,f43556])).
% 145.86/18.87 fof(f43694,plain,(
% 145.86/18.87 spl0_588|~spl0_589|~spl0_553|~spl0_90),
% 145.86/18.87 inference(split_clause,[status(thm)],[f43693,f43687,f43690,f41102,f13590])).
% 145.86/18.87 fof(f43705,plain,(
% 145.86/18.87 spl0_592 <=> c_Orderings_Obot__class_Obot(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool))),
% 145.86/18.87 introduced(split_symbol_definition)).
% 145.86/18.87 fof(f43706,plain,(
% 145.86/18.87 c_Orderings_Obot__class_Obot(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool))|~spl0_592),
% 145.86/18.87 inference(component_clause,[status(thm)],[f43705])).
% 145.86/18.87 fof(f43724,plain,(
% 145.86/18.87 $false|~spl0_90|spl0_589),
% 145.86/18.87 inference(forward_subsumption_resolution,[status(thm)],[f43692,f16195])).
% 145.86/18.87 fof(f43725,plain,(
% 145.86/18.87 ~spl0_90|spl0_589),
% 145.86/18.87 inference(contradiction_clause,[status(thm)],[f43724])).
% 145.86/18.87 fof(f43726,plain,(
% 145.86/18.87 ~c_Suc(c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi))=c_Suc(c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi))|~spl0_90|spl0_570),
% 145.86/18.87 inference(forward_demodulation,[status(thm)],[f16207,f41886])).
% 145.86/18.87 fof(f43727,plain,(
% 145.86/18.87 $false|~spl0_90|spl0_570),
% 145.86/18.87 inference(trivial_equality_resolution,[status(esa)],[f43726])).
% 145.86/18.87 fof(f43728,plain,(
% 145.86/18.87 ~spl0_90|spl0_570),
% 145.86/18.87 inference(contradiction_clause,[status(thm)],[f43727])).
% 145.86/18.87 fof(f43758,plain,(
% 145.86/18.87 ![X0,X1]: (~c_Set_Oimage(X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat)=c_SetInterval_Oord__class_OlessThan(c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat)|~c_Fun_Obij__betw(X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),X1,tc_Arrow__Order__Mirabelle_Oindi,tc_nat)|~spl0_90|~spl0_0)),
% 145.86/18.87 inference(resolution,[status(thm)],[f17375,f1912])).
% 145.86/18.87 fof(f45238,plain,(
% 145.86/18.87 spl0_613 <=> c_Suc(c_Suc(c_Orderings_Obot__class_Obot(tc_nat)))=c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi)),
% 145.86/18.87 introduced(split_symbol_definition)).
% 145.86/18.87 fof(f45239,plain,(
% 145.86/18.87 c_Suc(c_Suc(c_Orderings_Obot__class_Obot(tc_nat)))=c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi)|~spl0_613),
% 145.86/18.87 inference(component_clause,[status(thm)],[f45238])).
% 145.86/18.87 fof(f45261,plain,(
% 145.86/18.87 spl0_616 <=> c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Orderings_Obot__class_Obot(tc_nat))),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat)),
% 145.86/18.87 introduced(split_symbol_definition)).
% 145.86/18.87 fof(f45262,plain,(
% 145.86/18.87 c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Orderings_Obot__class_Obot(tc_nat))),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat)|~spl0_616),
% 145.86/18.87 inference(component_clause,[status(thm)],[f45261])).
% 145.86/18.87 fof(f45264,plain,(
% 145.86/18.87 c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Orderings_Obot__class_Obot(tc_nat))),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat)|c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi)=c_Suc(c_Suc(c_Orderings_Obot__class_Obot(tc_nat)))|spl0_560),
% 145.86/18.87 inference(resolution,[status(thm)],[f41842,f1243])).
% 145.86/18.87 fof(f45265,plain,(
% 145.86/18.87 spl0_616|spl0_613|spl0_560),
% 145.86/18.87 inference(split_clause,[status(thm)],[f45264,f45261,f45238,f41177])).
% 145.86/18.87 fof(f45286,plain,(
% 145.86/18.87 spl0_617 <=> X0=c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool))|~c_lessequals(c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),c_Finite__Set_Ocard(X0,tc_Arrow__Order__Mirabelle_Oindi),tc_nat)|~c_lessequals(X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool))),
% 145.86/18.87 introduced(split_symbol_definition)).
% 145.86/18.87 fof(f45287,plain,(
% 145.86/18.87 ![X0]: (X0=c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool))|~c_lessequals(c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),c_Finite__Set_Ocard(X0,tc_Arrow__Order__Mirabelle_Oindi),tc_nat)|~c_lessequals(X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool))|~spl0_617)),
% 145.86/18.87 inference(component_clause,[status(thm)],[f45286])).
% 145.86/18.87 fof(f45289,plain,(
% 145.86/18.87 ![X0]: (X0=c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool))|~c_lessequals(c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),c_Finite__Set_Ocard(X0,tc_Arrow__Order__Mirabelle_Oindi),tc_nat)|~c_lessequals(X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool))|~c_HOL_Oord__class_Oless(c_Orderings_Obot__class_Obot(tc_nat),c_Suc(c_Suc(c_Orderings_Obot__class_Obot(tc_nat))),tc_nat)|~spl0_90|~spl0_613)),
% 145.86/18.87 inference(paramodulation,[status(thm)],[f45239,f43564])).
% 145.86/18.87 fof(f45290,plain,(
% 145.86/18.87 spl0_617|~spl0_446|~spl0_90|~spl0_613),
% 145.86/18.87 inference(split_clause,[status(thm)],[f45289,f45286,f33594,f13590,f45238])).
% 145.86/18.87 fof(f45309,plain,(
% 145.86/18.87 ![X0]: (X0=c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool))|~c_lessequals(c_Suc(c_Suc(c_Orderings_Obot__class_Obot(tc_nat))),c_Finite__Set_Ocard(X0,tc_Arrow__Order__Mirabelle_Oindi),tc_nat)|~c_lessequals(X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool))|~spl0_613|~spl0_617)),
% 145.86/18.87 inference(forward_demodulation,[status(thm)],[f45239,f45287])).
% 145.86/18.87 fof(f45310,plain,(
% 145.86/18.87 ![X0]: (X0=c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool))|~c_lessequals(c_Suc(c_Suc(c_Orderings_Obot__class_Obot(tc_nat))),c_Finite__Set_Ocard(X0,tc_Arrow__Order__Mirabelle_Oindi),tc_nat)|~spl0_613|~spl0_617)),
% 145.86/18.87 inference(forward_subsumption_resolution,[status(thm)],[f45309,f1670])).
% 145.86/18.87 fof(f45846,plain,(
% 145.86/18.87 ![X0]: (X0=c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool))|~c_HOL_Oord__class_Oless(c_Suc(c_Orderings_Obot__class_Obot(tc_nat)),c_Finite__Set_Ocard(X0,tc_Arrow__Order__Mirabelle_Oindi),tc_nat)|~spl0_613|~spl0_617)),
% 145.86/18.87 inference(resolution,[status(thm)],[f45310,f942])).
% 145.86/18.87 fof(f46477,plain,(
% 145.86/18.87 ![X0,X1]: (c_Set_Oinsert(X0,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi)=c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool))|~c_HOL_Oord__class_Oless(c_Suc(c_Orderings_Obot__class_Obot(tc_nat)),c_Suc(c_Suc(c_Orderings_Obot__class_Obot(tc_nat))),tc_nat)|X0=X1|~spl0_613|~spl0_617|~spl0_90)),
% 145.86/18.87 inference(paramodulation,[status(thm)],[f25420,f45846])).
% 145.86/18.87 fof(f46478,plain,(
% 145.86/18.87 spl0_588|~spl0_317|~spl0_613|~spl0_617|~spl0_90),
% 145.86/18.87 inference(split_clause,[status(thm)],[f46477,f43687,f23710,f45238,f45286,f13590])).
% 145.86/18.87 fof(f46489,plain,(
% 145.86/18.87 $false|~spl0_592),
% 145.86/18.87 inference(forward_subsumption_resolution,[status(thm)],[f43706,f1673])).
% 145.86/18.87 fof(f46490,plain,(
% 145.86/18.87 ~spl0_592),
% 145.86/18.87 inference(contradiction_clause,[status(thm)],[f46489])).
% 145.86/18.87 fof(f47024,plain,(
% 145.86/18.87 spl0_634 <=> c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool))),
% 145.86/18.87 introduced(split_symbol_definition)).
% 145.86/18.87 fof(f47026,plain,(
% 145.86/18.87 ~c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool))|spl0_634),
% 145.86/18.87 inference(component_clause,[status(thm)],[f47024])).
% 145.86/18.87 fof(f48024,plain,(
% 145.86/18.87 ![X0,X1,X2]: (hBOOL(hAPP(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),X1))|X2=X1|~hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),X1))|X2=X0|~spl0_588)),
% 145.86/18.87 inference(paramodulation,[status(thm)],[f43688,f948])).
% 145.86/18.87 fof(f48025,plain,(
% 145.86/18.87 ![X0,X1,X2]: (hBOOL(hAPP(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),X1))|X2=X1|X2=X0|~spl0_588)),
% 145.86/18.87 inference(forward_subsumption_resolution,[status(thm)],[f48024,f2002])).
% 145.86/18.87 fof(f48065,plain,(
% 145.86/18.87 ![X0,X1,X2]: (X0=X1|X0=X2|hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),X1))|X2=X1|~spl0_588)),
% 145.86/18.87 inference(resolution,[status(thm)],[f48025,f948])).
% 145.86/18.87 fof(f48066,plain,(
% 145.86/18.87 ![X0,X1,X2]: (X0=X1|X0=X2|X2=X1|~spl0_588)),
% 145.86/18.87 inference(forward_subsumption_resolution,[status(thm)],[f48065,f1206])).
% 145.86/18.87 fof(f48196,plain,(
% 145.86/18.87 ![X0,X1]: (c_Suc(X0)=X1|X0=X1|~spl0_588)),
% 145.86/18.87 inference(resolution,[status(thm)],[f48066,f1553])).
% 145.86/18.87 fof(f48593,plain,(
% 145.86/18.87 ![X0,X1]: (c_Lattices_Oupper__semilattice__class_Osup(c_Suc(c_Suc(X0)),X1,tc_nat)=X0|~spl0_588|~spl0_43|~spl0_3)),
% 145.86/18.87 inference(resolution,[status(thm)],[f48196,f26081])).
% 145.86/18.87 fof(f48594,plain,(
% 145.86/18.87 $false|~spl0_588|~spl0_43|~spl0_3),
% 145.86/18.87 inference(forward_subsumption_resolution,[status(thm)],[f48593,f19750])).
% 145.86/18.87 fof(f48595,plain,(
% 145.86/18.87 ~spl0_588|~spl0_43|~spl0_3),
% 145.86/18.87 inference(contradiction_clause,[status(thm)],[f48594])).
% 145.86/18.87 fof(f60631,plain,(
% 145.86/18.87 ![X0,X1]: (c_HOL_Oord__class_Oless(c_Orderings_Obot__class_Obot(tc_nat),c_Finite__Set_Ocard(X0,X1),tc_nat)|~c_Finite__Set_Ofinite(X0,X1)|X0=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|~spl0_90)),
% 145.86/18.87 inference(forward_demodulation,[status(thm)],[f14360,f1382])).
% 145.86/18.87 fof(f63543,plain,(
% 145.86/18.87 spl0_786 <=> c_Lattices_Olower__semilattice__class_Oinf(c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat)=c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi)),
% 145.86/18.87 introduced(split_symbol_definition)).
% 145.86/18.87 fof(f63545,plain,(
% 145.86/18.87 ~c_Lattices_Olower__semilattice__class_Oinf(c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat)=c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi)|spl0_786),
% 145.86/18.87 inference(component_clause,[status(thm)],[f63543])).
% 145.86/18.87 fof(f65672,plain,(
% 145.86/18.87 c_HOL_Oord__class_Oless(c_Orderings_Obot__class_Obot(tc_nat),c_Orderings_Obot__class_Obot(tc_nat),tc_nat)|~c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi)|c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool))|~spl0_90|~spl0_527),
% 145.86/18.87 inference(paramodulation,[status(thm)],[f39013,f60631])).
% 145.86/18.87 fof(f65673,plain,(
% 145.86/18.87 spl0_450|~spl0_517|spl0_592|~spl0_90|~spl0_527),
% 145.86/18.87 inference(split_clause,[status(thm)],[f65672,f34023,f38684,f43705,f13590,f38772])).
% 145.86/18.87 fof(f65674,plain,(
% 145.86/18.87 $false|spl0_517),
% 145.86/18.87 inference(forward_subsumption_resolution,[status(thm)],[f38686,f1936])).
% 145.86/18.87 fof(f65675,plain,(
% 145.86/18.87 spl0_517),
% 145.86/18.87 inference(contradiction_clause,[status(thm)],[f65674])).
% 145.86/18.87 fof(f65687,plain,(
% 145.86/18.87 $false|~spl0_90|~spl0_450),
% 145.86/18.87 inference(forward_subsumption_resolution,[status(thm)],[f34024,f14460])).
% 145.86/18.87 fof(f65688,plain,(
% 145.86/18.87 ~spl0_90|~spl0_450),
% 145.86/18.87 inference(contradiction_clause,[status(thm)],[f65687])).
% 145.86/18.87 fof(f65694,plain,(
% 145.86/18.87 c_HOL_Oord__class_Oless(c_Orderings_Obot__class_Obot(tc_nat),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat)|~spl0_616),
% 145.86/18.87 inference(resolution,[status(thm)],[f45262,f33211])).
% 145.86/18.87 fof(f71737,plain,(
% 145.86/18.87 spl0_836 <=> class_Ring__and__Field_Ozero__neq__one(tc_nat)),
% 145.86/18.87 introduced(split_symbol_definition)).
% 145.86/18.87 fof(f71739,plain,(
% 145.86/18.87 ~class_Ring__and__Field_Ozero__neq__one(tc_nat)|spl0_836),
% 145.86/18.87 inference(component_clause,[status(thm)],[f71737])).
% 145.86/18.87 fof(f71740,plain,(
% 145.86/18.87 spl0_837 <=> class_Ring__and__Field_Omult__zero(tc_nat)),
% 145.86/18.87 introduced(split_symbol_definition)).
% 145.86/18.87 fof(f71742,plain,(
% 145.86/18.87 ~class_Ring__and__Field_Omult__zero(tc_nat)|spl0_837),
% 145.86/18.87 inference(component_clause,[status(thm)],[f71740])).
% 145.86/18.87 fof(f71743,plain,(
% 145.86/18.87 spl0_838 <=> class_Power_Opower(tc_nat)),
% 145.86/18.87 introduced(split_symbol_definition)).
% 145.86/18.87 fof(f71745,plain,(
% 145.86/18.87 ~class_Power_Opower(tc_nat)|spl0_838),
% 145.86/18.87 inference(component_clause,[status(thm)],[f71743])).
% 145.86/18.87 fof(f71751,plain,(
% 145.86/18.87 spl0_840 <=> class_Ring__and__Field_Ono__zero__divisors(tc_nat)),
% 145.86/18.87 introduced(split_symbol_definition)).
% 145.86/18.87 fof(f71753,plain,(
% 145.86/18.87 ~class_Ring__and__Field_Ono__zero__divisors(tc_nat)|spl0_840),
% 145.86/18.87 inference(component_clause,[status(thm)],[f71751])).
% 145.86/18.87 fof(f71756,plain,(
% 145.86/18.87 $false|spl0_840),
% 145.86/18.87 inference(forward_subsumption_resolution,[status(thm)],[f71753,f2038])).
% 145.86/18.87 fof(f71757,plain,(
% 145.86/18.87 spl0_840),
% 145.86/18.87 inference(contradiction_clause,[status(thm)],[f71756])).
% 145.86/18.87 fof(f71758,plain,(
% 145.86/18.87 $false|spl0_837),
% 145.86/18.87 inference(forward_subsumption_resolution,[status(thm)],[f71742,f2046])).
% 145.86/18.87 fof(f71759,plain,(
% 145.86/18.87 spl0_837),
% 145.86/18.87 inference(contradiction_clause,[status(thm)],[f71758])).
% 145.86/18.87 fof(f71762,plain,(
% 145.86/18.87 ~c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi)=c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi)|spl0_786),
% 145.86/18.87 inference(forward_demodulation,[status(thm)],[f2134,f63545])).
% 145.86/18.87 fof(f71763,plain,(
% 145.86/18.87 $false|spl0_786),
% 145.86/18.87 inference(trivial_equality_resolution,[status(esa)],[f71762])).
% 145.86/18.87 fof(f71764,plain,(
% 145.86/18.87 spl0_786),
% 145.86/18.87 inference(contradiction_clause,[status(thm)],[f71763])).
% 145.86/18.87 fof(f71765,plain,(
% 145.86/18.87 $false|spl0_634),
% 145.86/18.87 inference(trivial_equality_resolution,[status(esa)],[f47026])).
% 145.86/18.87 fof(f71766,plain,(
% 145.86/18.87 spl0_634),
% 145.86/18.87 inference(contradiction_clause,[status(thm)],[f71765])).
% 145.86/18.87 fof(f71769,plain,(
% 145.86/18.87 $false|spl0_838),
% 145.86/18.87 inference(forward_subsumption_resolution,[status(thm)],[f71745,f2054])).
% 145.86/18.87 fof(f71770,plain,(
% 145.86/18.87 spl0_838),
% 145.86/18.87 inference(contradiction_clause,[status(thm)],[f71769])).
% 145.86/18.87 fof(f71771,plain,(
% 145.86/18.87 $false|spl0_836),
% 145.86/18.87 inference(forward_subsumption_resolution,[status(thm)],[f71739,f2041])).
% 145.86/18.87 fof(f71772,plain,(
% 145.86/18.87 spl0_836),
% 145.86/18.87 inference(contradiction_clause,[status(thm)],[f71771])).
% 145.86/18.87 fof(f75084,plain,(
% 145.86/18.87 spl0_843 <=> ~c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))),
% 145.86/18.87 introduced(split_symbol_definition)).
% 145.86/18.87 fof(f75085,plain,(
% 145.86/18.87 ![X0]: (~c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))|~spl0_843)),
% 145.86/18.87 inference(component_clause,[status(thm)],[f75084])).
% 145.86/18.87 fof(f75107,plain,(
% 145.86/18.87 $false|~spl0_843),
% 145.86/18.87 inference(trivial_equality_resolution,[status(esa)],[f75085])).
% 145.86/18.87 fof(f75108,plain,(
% 145.86/18.87 ~spl0_843),
% 145.86/18.87 inference(contradiction_clause,[status(thm)],[f75107])).
% 145.86/18.87 fof(f92240,plain,(
% 145.86/18.87 ![X0,X1]: (c_Fun_Obij__betw(c_List_Osko__SetInterval__Xex__bij__betw__finite__nat__1__1(X0,X1),X0,c_SetInterval_Oord__class_OatLeastLessThan(c_Orderings_Obot__class_Obot(tc_nat),c_Finite__Set_Ocard(X0,X1),tc_nat),X1,tc_nat)|~c_Finite__Set_Ofinite(X0,X1)|~spl0_90)),
% 145.86/18.87 inference(forward_demodulation,[status(thm)],[f14360,f1913])).
% 145.86/18.87 fof(f92241,plain,(
% 145.86/18.87 ![X0,X1]: (c_Fun_Obij__betw(c_List_Osko__SetInterval__Xex__bij__betw__finite__nat__1__1(X0,X1),X0,c_SetInterval_Oord__class_OlessThan(c_Finite__Set_Ocard(X0,X1),tc_nat),X1,tc_nat)|~c_Finite__Set_Ofinite(X0,X1)|~spl0_90)),
% 145.86/18.87 inference(forward_demodulation,[status(thm)],[f17373,f92240])).
% 145.86/18.87 fof(f92249,plain,(
% 145.86/18.87 spl0_962 <=> c_Set_Oimage(c_List_Osko__SetInterval__Xex__bij__betw__finite__nat__1__1(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat)=c_SetInterval_Oord__class_OlessThan(c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat)),
% 145.86/18.87 introduced(split_symbol_definition)).
% 145.86/18.87 fof(f92251,plain,(
% 145.86/18.87 ~c_Set_Oimage(c_List_Osko__SetInterval__Xex__bij__betw__finite__nat__1__1(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat)=c_SetInterval_Oord__class_OlessThan(c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat)|spl0_962),
% 145.86/18.87 inference(component_clause,[status(thm)],[f92249])).
% 145.86/18.87 fof(f92252,plain,(
% 145.86/18.87 ~c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi)|~c_Set_Oimage(c_List_Osko__SetInterval__Xex__bij__betw__finite__nat__1__1(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat)=c_SetInterval_Oord__class_OlessThan(c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat)|~spl0_90|~spl0_0),
% 145.86/18.87 inference(resolution,[status(thm)],[f92241,f43758])).
% 145.86/18.87 fof(f92253,plain,(
% 145.86/18.87 ~spl0_517|~spl0_962|~spl0_90|~spl0_0),
% 145.86/18.87 inference(split_clause,[status(thm)],[f92252,f38684,f92249,f13590,f2075])).
% 145.86/18.87 fof(f92255,plain,(
% 145.86/18.87 ![X0,X1]: (~c_Finite__Set_Ofinite(X0,X1)|c_Set_Oimage(c_List_Osko__SetInterval__Xex__bij__betw__finite__nat__1__1(X0,X1),X0,X1,tc_nat)=c_SetInterval_Oord__class_OlessThan(c_Finite__Set_Ocard(X0,X1),tc_nat)|~spl0_90)),
% 145.86/18.87 inference(resolution,[status(thm)],[f92241,f1630])).
% 145.86/18.87 fof(f92281,plain,(
% 145.86/18.87 spl0_963 <=> c_ATP__Linkup_Osko__Fun__Xinj__on__inverseI__1__1(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),c_HOL_Ouminus__class_Ouminus(tc_bool),c_HOL_Ouminus__class_Ouminus(tc_bool),tc_Arrow__Order__Mirabelle_Oindi,tc_nat)=c_ATP__Linkup_Osko__Fun__Xinj__on__inverseI__1__1(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),c_HOL_Ouminus__class_Ouminus(tc_bool),c_HOL_Ouminus__class_Ouminus(tc_bool),tc_Arrow__Order__Mirabelle_Oindi,tc_nat)),
% 145.86/18.87 introduced(split_symbol_definition)).
% 145.86/18.87 fof(f92283,plain,(
% 145.86/18.87 ~c_ATP__Linkup_Osko__Fun__Xinj__on__inverseI__1__1(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),c_HOL_Ouminus__class_Ouminus(tc_bool),c_HOL_Ouminus__class_Ouminus(tc_bool),tc_Arrow__Order__Mirabelle_Oindi,tc_nat)=c_ATP__Linkup_Osko__Fun__Xinj__on__inverseI__1__1(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),c_HOL_Ouminus__class_Ouminus(tc_bool),c_HOL_Ouminus__class_Ouminus(tc_bool),tc_Arrow__Order__Mirabelle_Oindi,tc_nat)|spl0_963),
% 145.86/18.87 inference(component_clause,[status(thm)],[f92281])).
% 145.86/18.87 fof(f92293,plain,(
% 145.86/18.87 $false|spl0_963),
% 145.86/18.87 inference(trivial_equality_resolution,[status(esa)],[f92283])).
% 145.86/18.87 fof(f92294,plain,(
% 145.86/18.87 spl0_963),
% 145.86/18.87 inference(contradiction_clause,[status(thm)],[f92293])).
% 145.86/18.87 fof(f98413,plain,(
% 145.86/18.87 ![X0,X1]: (c_Fun_Obij__betw(c_COMBI(X0),X1,c_Set_Oimage(c_COMBI(X0),X1,X0,X0),X0,X0))),
% 145.86/18.87 inference(resolution,[status(thm)],[f1957,f1890])).
% 145.86/18.87 fof(f98414,plain,(
% 145.86/18.87 ![X0,X1]: (c_Fun_Obij__betw(c_COMBI(X0),X1,X1,X0,X0))),
% 145.86/18.87 inference(forward_demodulation,[status(thm)],[f1638,f98413])).
% 145.86/18.87 fof(f98770,plain,(
% 145.86/18.87 spl0_1009 <=> c_Finite__Set_Ofinite(c_SetInterval_Oord__class_OlessThan(c_Suc(c_Orderings_Obot__class_Obot(tc_nat)),tc_nat),tc_nat)),
% 145.86/18.87 introduced(split_symbol_definition)).
% 145.86/18.87 fof(f98772,plain,(
% 145.86/18.87 ~c_Finite__Set_Ofinite(c_SetInterval_Oord__class_OlessThan(c_Suc(c_Orderings_Obot__class_Obot(tc_nat)),tc_nat),tc_nat)|spl0_1009),
% 145.86/18.87 inference(component_clause,[status(thm)],[f98770])).
% 145.86/18.87 fof(f98782,plain,(
% 145.86/18.87 $false|spl0_1009),
% 147.48/19.08 inference(forward_subsumption_resolution,[status(thm)],[f98772,f1258])).
% 147.48/19.08 fof(f98783,plain,(
% 147.48/19.08 spl0_1009),
% 147.48/19.08 inference(contradiction_clause,[status(thm)],[f98782])).
% 147.48/19.08 fof(f98799,plain,(
% 147.48/19.08 ![X0,X1]: (c_Fun_Obij__betw(c_FuncSet_Orestrict(c_COMBI(X0),X1,X0,X0),X1,X1,X0,X0))),
% 147.48/19.08 inference(resolution,[status(thm)],[f98414,f972])).
% 147.48/19.08 fof(f98922,plain,(
% 147.48/19.08 ![X0,X1]: (c_Set_Oimage(c_FuncSet_Orestrict(c_COMBI(X0),X1,X0,X0),X1,X0,X0)=X1)),
% 147.48/19.08 inference(resolution,[status(thm)],[f98799,f1630])).
% 147.48/19.08 fof(f103631,plain,(
% 147.48/19.08 ![X0,X1,X2,X3,X4]: (c_Finite__Set_Ofinite(X0,X1)|~c_lessequals(X0,c_Set_Oimage(X2,X3,X4,X1),tc_fun(X1,tc_bool))|~c_HOL_Oord__class_Oless(c_Orderings_Obot__class_Obot(tc_nat),c_Finite__Set_Ocard(X3,X4),tc_nat)|~spl0_90)),
% 147.48/19.08 inference(resolution,[status(thm)],[f855,f32379])).
% 147.48/19.08 fof(f111907,plain,(
% 147.48/19.08 ![X0,X1,X2]: (c_Finite__Set_Ofinite(X0,X1)|~c_lessequals(X0,c_Set_Oimage(X2,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,X1),tc_fun(X1,tc_bool))|~spl0_90|~spl0_616)),
% 147.48/19.08 inference(resolution,[status(thm)],[f103631,f65694])).
% 147.48/19.08 fof(f113739,plain,(
% 147.48/19.08 ![X0]: (c_Finite__Set_Ofinite(X0,tc_Arrow__Order__Mirabelle_Oindi)|~c_lessequals(X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool))|~spl0_90|~spl0_616)),
% 147.48/19.08 inference(paramodulation,[status(thm)],[f98922,f111907])).
% 147.48/19.08 fof(f113740,plain,(
% 147.48/19.08 ![X0]: (c_Finite__Set_Ofinite(X0,tc_Arrow__Order__Mirabelle_Oindi)|~spl0_90|~spl0_616)),
% 147.48/19.08 inference(forward_subsumption_resolution,[status(thm)],[f113739,f1670])).
% 147.48/19.08 fof(f113797,plain,(
% 147.48/19.08 ![X0]: (c_Set_Oimage(c_List_Osko__SetInterval__Xex__bij__betw__finite__nat__1__1(X0,tc_Arrow__Order__Mirabelle_Oindi),X0,tc_Arrow__Order__Mirabelle_Oindi,tc_nat)=c_SetInterval_Oord__class_OlessThan(c_Finite__Set_Ocard(X0,tc_Arrow__Order__Mirabelle_Oindi),tc_nat)|~spl0_616|~spl0_90)),
% 147.48/19.08 inference(resolution,[status(thm)],[f113740,f92255])).
% 147.48/19.08 fof(f116845,plain,(
% 147.48/19.08 ~c_SetInterval_Oord__class_OlessThan(c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat)=c_SetInterval_Oord__class_OlessThan(c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat)|~spl0_616|~spl0_90|spl0_962),
% 147.48/19.08 inference(backward_demodulation,[status(thm)],[f113797,f92251])).
% 147.48/19.08 fof(f116846,plain,(
% 147.48/19.08 $false|~spl0_616|~spl0_90|spl0_962),
% 147.48/19.08 inference(trivial_equality_resolution,[status(esa)],[f116845])).
% 147.48/19.08 fof(f116847,plain,(
% 147.48/19.08 ~spl0_616|~spl0_90|spl0_962),
% 147.48/19.08 inference(contradiction_clause,[status(thm)],[f116846])).
% 147.48/19.08 fof(f116848,plain,(
% 147.48/19.08 $false),
% 147.48/19.08 inference(sat_refutation,[status(thm)],[f2081,f2098,f2100,f2130,f8933,f13597,f13639,f34087,f38740,f39248,f41189,f41888,f43694,f43725,f43728,f45265,f45290,f46478,f46490,f48595,f65673,f65675,f65688,f71757,f71759,f71764,f71766,f71770,f71772,f75108,f92253,f92294,f98783,f116847])).
% 147.48/19.08 % SZS output end CNFRefutation for theBenchmark.p
% 147.48/19.15 % Elapsed time: 18.793157 seconds
% 147.48/19.15 % CPU time: 147.155170 seconds
% 147.48/19.15 % Memory used: 958.097 MB
%------------------------------------------------------------------------------