TSTP Solution File: SWV885-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV885-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:49:29 EDT 2024
% Result : Unsatisfiable 241.24s 30.70s
% Output : CNFRefutation 241.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : SWV885-1 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n031.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue Apr 30 01:11:28 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.13/0.34 % Drodi V3.6.0
% 241.24/30.70 % Refutation found
% 241.24/30.70 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 241.24/30.70 % SZS output start CNFRefutation for theBenchmark
% 241.24/30.70 fof(f10,axiom,(
% 241.24/30.70 (![V_m,V_n]: (c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) = c_HOL_Otimes__class_Otimes(V_n,V_m,tc_nat) ))),
% 241.24/30.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 241.24/30.70 fof(f34,axiom,(
% 241.24/30.70 (![V_m]: (~ c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ))),
% 241.24/30.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 241.24/30.70 fof(f74,axiom,(
% 241.24/30.70 (![V_n]: (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),V_n,tc_nat) = V_n ))),
% 241.24/30.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 241.24/30.70 fof(f95,axiom,(
% 241.24/30.70 (![V_i,V_m]: (c_HOL_Oord__class_Oless(V_i,c_Suc(c_HOL_Oplus__class_Oplus(V_i,V_m,tc_nat)),tc_nat) ))),
% 241.24/30.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 241.24/30.70 fof(f154,axiom,(
% 241.24/30.70 c_HOL_Oone__class_Oone(tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 241.24/30.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 241.24/30.70 fof(f173,axiom,(
% 241.24/30.70 (![V_n]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_n),tc_nat) ))),
% 241.24/30.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 241.24/30.70 fof(f267,axiom,(
% 241.24/30.70 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 241.24/30.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 241.24/30.70 fof(f280,axiom,(
% 241.24/30.70 (![V_m,V_n]: (c_HOL_Otimes__class_Otimes(V_m,c_Suc(V_n),tc_nat) = c_HOL_Oplus__class_Oplus(V_m,c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ))),
% 241.24/30.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 241.24/30.70 fof(f281,axiom,(
% 241.24/30.70 (![V_m,V_n]: (c_HOL_Otimes__class_Otimes(c_Suc(V_m),V_n,tc_nat) = c_HOL_Oplus__class_Oplus(V_n,c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ))),
% 241.24/30.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 241.24/30.70 fof(f409,axiom,(
% 241.24/30.70 (![V_c,V_A,T_a,V_B]: (( c_in(V_c,V_A,T_a)| ~ c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ))),
% 241.24/30.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 241.24/30.70 fof(f603,axiom,(
% 241.24/30.70 (![T_a]: (c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ))),
% 241.24/30.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 241.24/30.70 fof(f621,axiom,(
% 241.24/30.70 (![V_x]: (c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ))),
% 241.24/30.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 241.24/30.70 fof(f630,axiom,(
% 241.24/30.70 (![V_m,V_n]: (c_HOL_Oplus__class_Oplus(c_Suc(V_m),V_n,tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)) ))),
% 241.24/30.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 241.24/30.70 fof(f631,axiom,(
% 241.24/30.70 (![V_m,V_n]: (c_HOL_Oplus__class_Oplus(V_m,c_Suc(V_n),tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)) ))),
% 241.24/30.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 241.24/30.70 fof(f840,axiom,(
% 241.24/30.70 (![V_m]: (c_HOL_Ominus__class_Ominus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m ))),
% 241.24/30.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 241.24/30.70 fof(f841,axiom,(
% 241.24/30.70 (![V_m]: (c_HOL_Ominus__class_Ominus(V_m,V_m,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ))),
% 241.24/30.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 241.24/30.70 fof(f846,axiom,(
% 241.24/30.70 (![V_i,V_j,V_k]: (c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_k,tc_nat) = c_HOL_Ominus__class_Ominus(V_i,c_HOL_Oplus__class_Oplus(V_j,V_k,tc_nat),tc_nat) ))),
% 241.24/30.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 241.24/30.70 fof(f848,axiom,(
% 241.24/30.70 (![V_m,V_k,V_n]: (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat),c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) ))),
% 241.24/30.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 241.24/30.70 fof(f850,axiom,(
% 241.24/30.70 (![V_k,V_m,V_n]: (c_HOL_Otimes__class_Otimes(V_k,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ))),
% 241.24/30.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 241.24/30.70 fof(f851,axiom,(
% 241.24/30.70 (![V_m,V_n,V_k]: (c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_k,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ))),
% 241.24/30.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 241.24/30.71 fof(f852,axiom,(
% 241.24/30.71 (![V_m,V_n]: (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),V_n,tc_nat) = V_m ))),
% 241.24/30.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 241.24/30.71 fof(f853,axiom,(
% 241.24/30.71 (![V_n,V_m]: (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),V_n,tc_nat) = V_m ))),
% 241.24/30.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 241.24/30.71 fof(f919,axiom,(
% 241.24/30.71 (![V_i,V_j]: (( ~ c_lessequals(V_i,V_j,tc_nat)| V_j = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_i,tc_nat) ) ))),
% 241.24/30.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 241.24/30.71 fof(f984,axiom,(
% 241.24/30.71 (![V_n]: (V_n != c_Suc(V_n) ))),
% 241.24/30.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 241.24/30.71 fof(f1002,axiom,(
% 241.24/30.71 (![V_m,V_n]: (c_HOL_Ominus__class_Ominus(c_Suc(V_m),c_Suc(V_n),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) ))),
% 241.24/30.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 241.24/30.71 fof(f1014,axiom,(
% 241.24/30.71 (![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) ) ))),
% 241.24/30.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 241.24/30.71 fof(f1022,axiom,(
% 241.24/30.71 (![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))| c_in(V_x,V_A,T_a)| ~ c_Finite__Set_Ofinite(V_A,T_a) ) ))),
% 241.24/30.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 241.24/30.71 fof(f1030,axiom,(
% 241.24/30.71 (![V_m,V_n]: (c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat) ))),
% 241.24/30.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 241.24/30.71 fof(f1056,negated_conjecture,(
% 241.24/30.71 c_Finite__Set_Ofinite(v_U,tc_Com_Opname) ),
% 241.24/30.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 241.24/30.71 fof(f1057,negated_conjecture,(
% 241.24/30.71 c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)) ),
% 241.24/30.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 241.24/30.71 fof(f1058,negated_conjecture,(
% 241.24/30.71 c_lessequals(c_Suc(v_na),c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),tc_nat) ),
% 241.24/30.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 241.24/30.71 fof(f1059,negated_conjecture,(
% 241.24/30.71 c_Finite__Set_Ocard(v_G,t_a) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),c_Suc(v_na),tc_nat) ),
% 241.24/30.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 241.24/30.71 fof(f1061,negated_conjecture,(
% 241.24/30.71 ~ c_in(hAPP(v_mgt__call,v_pn),v_G,t_a) ),
% 241.24/30.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 241.24/30.71 fof(f1062,negated_conjecture,(
% 241.24/30.71 c_Finite__Set_Ocard(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),v_G,t_a),t_a) != c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),v_na,tc_nat) ),
% 241.24/30.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 241.24/30.71 fof(f1074,axiom,(
% 241.24/30.71 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 241.24/30.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 241.24/30.71 fof(f1091,axiom,(
% 241.24/30.71 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 241.24/30.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 241.24/30.71 fof(f1134,plain,(
% 241.24/30.71 ![X0,X1]: (c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)=c_HOL_Otimes__class_Otimes(X1,X0,tc_nat))),
% 241.24/30.71 inference(cnf_transformation,[status(esa)],[f10])).
% 241.24/30.71 fof(f1175,plain,(
% 241.24/30.71 ![X0]: (~c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))),
% 241.24/30.71 inference(cnf_transformation,[status(esa)],[f34])).
% 241.24/30.71 fof(f1242,plain,(
% 241.24/30.71 ![X0]: (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)=X0)),
% 241.24/30.71 inference(cnf_transformation,[status(esa)],[f74])).
% 241.24/30.71 fof(f1278,plain,(
% 241.24/30.71 ![X0,X1]: (c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)),tc_nat))),
% 241.24/30.71 inference(cnf_transformation,[status(esa)],[f95])).
% 241.24/30.71 fof(f1376,plain,(
% 241.24/30.71 c_HOL_Oone__class_Oone(tc_nat)=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),
% 241.24/30.71 inference(cnf_transformation,[status(esa)],[f154])).
% 241.24/30.71 fof(f1407,plain,(
% 241.24/30.71 ![X0]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat))),
% 241.24/30.71 inference(cnf_transformation,[status(esa)],[f173])).
% 241.24/30.71 fof(f1572,plain,(
% 241.24/30.71 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)),
% 241.24/30.71 inference(cnf_transformation,[status(esa)],[f267])).
% 241.24/30.71 fof(f1591,plain,(
% 241.24/30.71 ![X0,X1]: (c_HOL_Otimes__class_Otimes(X0,c_Suc(X1),tc_nat)=c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat))),
% 241.24/30.71 inference(cnf_transformation,[status(esa)],[f280])).
% 241.24/30.71 fof(f1592,plain,(
% 241.24/30.71 ![X0,X1]: (c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat))),
% 241.24/30.71 inference(cnf_transformation,[status(esa)],[f281])).
% 241.24/30.71 fof(f1794,plain,(
% 241.24/30.71 ![V_c,V_A,T_a]: (c_in(V_c,V_A,T_a)|(![V_B]: ~c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)))),
% 241.24/30.71 inference(miniscoping,[status(esa)],[f409])).
% 241.24/30.71 fof(f1795,plain,(
% 241.24/30.71 ![X0,X1,X2,X3]: (c_in(X0,X1,X2)|~c_in(X0,c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool)),X2))),
% 241.24/30.71 inference(cnf_transformation,[status(esa)],[f1794])).
% 241.24/30.71 fof(f2107,plain,(
% 241.24/30.71 ![X0]: (c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0))),
% 241.24/30.71 inference(cnf_transformation,[status(esa)],[f603])).
% 241.24/30.71 fof(f2138,plain,(
% 241.24/30.71 ![X0]: (c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat))),
% 241.24/30.71 inference(cnf_transformation,[status(esa)],[f621])).
% 241.24/30.71 fof(f2147,plain,(
% 241.24/30.71 ![X0,X1]: (c_HOL_Oplus__class_Oplus(c_Suc(X0),X1,tc_nat)=c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)))),
% 241.24/30.71 inference(cnf_transformation,[status(esa)],[f630])).
% 241.24/30.71 fof(f2148,plain,(
% 241.24/30.71 ![X0,X1]: (c_HOL_Oplus__class_Oplus(X0,c_Suc(X1),tc_nat)=c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)))),
% 241.24/30.71 inference(cnf_transformation,[status(esa)],[f631])).
% 241.24/30.71 fof(f2474,plain,(
% 241.24/30.71 ![X0]: (c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=X0)),
% 241.24/30.71 inference(cnf_transformation,[status(esa)],[f840])).
% 241.24/30.71 fof(f2475,plain,(
% 241.24/30.71 ![X0]: (c_HOL_Ominus__class_Ominus(X0,X0,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))),
% 241.24/30.71 inference(cnf_transformation,[status(esa)],[f841])).
% 241.24/30.71 fof(f2484,plain,(
% 241.24/30.71 ![X0,X1,X2]: (c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)=c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat))),
% 241.24/30.71 inference(cnf_transformation,[status(esa)],[f846])).
% 241.24/30.71 fof(f2486,plain,(
% 241.24/30.71 ![X0,X1,X2]: (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(X0,X2,tc_nat))),
% 241.24/30.71 inference(cnf_transformation,[status(esa)],[f848])).
% 241.24/30.71 fof(f2488,plain,(
% 241.24/30.71 ![X0,X1,X2]: (c_HOL_Otimes__class_Otimes(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat))),
% 241.24/30.71 inference(cnf_transformation,[status(esa)],[f850])).
% 241.24/30.71 fof(f2489,plain,(
% 241.24/30.71 ![X0,X1,X2]: (c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat))),
% 241.24/30.71 inference(cnf_transformation,[status(esa)],[f851])).
% 241.24/30.71 fof(f2490,plain,(
% 241.24/30.71 ![X0,X1]: (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X1,tc_nat)=X0)),
% 241.24/30.71 inference(cnf_transformation,[status(esa)],[f852])).
% 241.24/30.71 fof(f2491,plain,(
% 241.24/30.71 ![X0,X1]: (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X0,tc_nat)=X1)),
% 241.24/30.71 inference(cnf_transformation,[status(esa)],[f853])).
% 241.24/30.71 fof(f2582,plain,(
% 241.24/30.71 ![X0,X1]: (~c_lessequals(X0,X1,tc_nat)|X1=c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X0,tc_nat))),
% 241.24/30.71 inference(cnf_transformation,[status(esa)],[f919])).
% 241.24/30.71 fof(f2692,plain,(
% 241.24/30.71 ![X0]: (~X0=c_Suc(X0))),
% 241.24/30.71 inference(cnf_transformation,[status(esa)],[f984])).
% 241.24/30.71 fof(f2714,plain,(
% 241.24/30.71 ![X0,X1]: (c_HOL_Ominus__class_Ominus(c_Suc(X0),c_Suc(X1),tc_nat)=c_HOL_Ominus__class_Ominus(X0,X1,tc_nat))),
% 241.24/30.71 inference(cnf_transformation,[status(esa)],[f1002])).
% 241.24/30.71 fof(f2732,plain,(
% 241.24/30.71 ![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))),
% 241.24/30.71 inference(miniscoping,[status(esa)],[f1014])).
% 241.24/30.71 fof(f2733,plain,(
% 241.24/30.71 ![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))),
% 241.24/30.71 inference(cnf_transformation,[status(esa)],[f2732])).
% 241.24/30.71 fof(f2744,plain,(
% 241.24/30.71 ![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))|c_in(V_x,V_A,T_a)))|~c_Finite__Set_Ofinite(V_A,T_a))),
% 241.24/30.71 inference(miniscoping,[status(esa)],[f1022])).
% 241.24/30.71 fof(f2745,plain,(
% 241.24/30.71 ![X0,X1,X2]: (c_Finite__Set_Ocard(c_Set_Oinsert(X0,X1,X2),X2)=c_Suc(c_Finite__Set_Ocard(X1,X2))|c_in(X0,X1,X2)|~c_Finite__Set_Ofinite(X1,X2))),
% 241.24/30.71 inference(cnf_transformation,[status(esa)],[f2744])).
% 241.24/30.71 fof(f2760,plain,(
% 241.24/30.71 ![X0,X1]: (c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat))),
% 241.24/30.71 inference(cnf_transformation,[status(esa)],[f1030])).
% 241.24/30.71 fof(f2802,plain,(
% 241.24/30.71 c_Finite__Set_Ofinite(v_U,tc_Com_Opname)),
% 241.24/30.71 inference(cnf_transformation,[status(esa)],[f1056])).
% 241.24/30.71 fof(f2803,plain,(
% 241.24/30.71 c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool))),
% 241.24/30.71 inference(cnf_transformation,[status(esa)],[f1057])).
% 241.24/30.71 fof(f2804,plain,(
% 241.24/30.71 c_lessequals(c_Suc(v_na),c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),tc_nat)),
% 241.24/30.71 inference(cnf_transformation,[status(esa)],[f1058])).
% 241.24/30.71 fof(f2805,plain,(
% 241.24/30.71 c_Finite__Set_Ocard(v_G,t_a)=c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),c_Suc(v_na),tc_nat)),
% 241.24/30.71 inference(cnf_transformation,[status(esa)],[f1059])).
% 241.24/30.71 fof(f2807,plain,(
% 241.24/30.71 ~c_in(hAPP(v_mgt__call,v_pn),v_G,t_a)),
% 241.24/30.71 inference(cnf_transformation,[status(esa)],[f1061])).
% 241.24/30.71 fof(f2808,plain,(
% 241.24/30.71 ~c_Finite__Set_Ocard(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),v_G,t_a),t_a)=c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),v_na,tc_nat)),
% 241.24/30.71 inference(cnf_transformation,[status(esa)],[f1062])).
% 241.24/30.71 fof(f2830,plain,(
% 241.24/30.71 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat)),
% 241.24/30.71 inference(cnf_transformation,[status(esa)],[f1074])).
% 241.24/30.71 fof(f2847,plain,(
% 241.24/30.71 class_OrderedGroup_Ocomm__monoid__add(tc_nat)),
% 241.24/30.71 inference(cnf_transformation,[status(esa)],[f1091])).
% 241.24/30.71 fof(f2894,plain,(
% 241.24/30.71 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)),
% 241.24/30.71 inference(forward_demodulation,[status(thm)],[f1376,f1572])).
% 241.24/30.71 fof(f4067,plain,(
% 241.24/30.71 spl0_83 <=> c_lessequals(c_Suc(v_na),c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),tc_nat)),
% 241.24/30.71 introduced(split_symbol_definition)).
% 241.24/30.71 fof(f4069,plain,(
% 241.24/30.71 ~c_lessequals(c_Suc(v_na),c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),tc_nat)|spl0_83),
% 241.24/30.71 inference(component_clause,[status(thm)],[f4067])).
% 241.24/30.71 fof(f4070,plain,(
% 241.24/30.71 spl0_84 <=> c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a)=c_HOL_Oplus__class_Oplus(c_Finite__Set_Ocard(v_G,t_a),c_Suc(v_na),tc_nat)),
% 241.24/30.71 introduced(split_symbol_definition)).
% 241.24/30.71 fof(f4071,plain,(
% 241.24/30.71 c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a)=c_HOL_Oplus__class_Oplus(c_Finite__Set_Ocard(v_G,t_a),c_Suc(v_na),tc_nat)|~spl0_84),
% 241.24/30.71 inference(component_clause,[status(thm)],[f4070])).
% 241.24/30.71 fof(f4073,plain,(
% 241.24/30.71 ~c_lessequals(c_Suc(v_na),c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),tc_nat)|c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a)=c_HOL_Oplus__class_Oplus(c_Finite__Set_Ocard(v_G,t_a),c_Suc(v_na),tc_nat)),
% 241.24/30.71 inference(paramodulation,[status(thm)],[f2805,f2582])).
% 241.24/30.71 fof(f4074,plain,(
% 241.24/30.71 ~spl0_83|spl0_84),
% 241.24/30.71 inference(split_clause,[status(thm)],[f4073,f4067,f4070])).
% 241.24/30.71 fof(f4081,plain,(
% 241.24/30.71 $false|spl0_83),
% 241.24/30.71 inference(forward_subsumption_resolution,[status(thm)],[f4069,f2804])).
% 241.24/30.71 fof(f4082,plain,(
% 241.24/30.71 spl0_83),
% 241.24/30.71 inference(contradiction_clause,[status(thm)],[f4081])).
% 241.24/30.71 fof(f4083,plain,(
% 241.24/30.71 c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a)=c_Suc(c_HOL_Oplus__class_Oplus(c_Finite__Set_Ocard(v_G,t_a),v_na,tc_nat))|~spl0_84),
% 241.24/30.71 inference(forward_demodulation,[status(thm)],[f2148,f4071])).
% 241.24/30.71 fof(f4115,plain,(
% 241.24/30.71 ~c_Finite__Set_Ocard(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),v_G,t_a),t_a)=c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Oplus__class_Oplus(c_Finite__Set_Ocard(v_G,t_a),v_na,tc_nat)),v_na,tc_nat)|~spl0_84),
% 241.24/30.71 inference(backward_demodulation,[status(thm)],[f4083,f2808])).
% 241.24/30.71 fof(f6094,plain,(
% 241.24/30.71 spl0_207 <=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
% 241.24/30.71 introduced(split_symbol_definition)).
% 241.24/30.71 fof(f6095,plain,(
% 241.24/30.71 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)|~spl0_207),
% 241.24/30.71 inference(component_clause,[status(thm)],[f6094])).
% 241.24/30.71 fof(f6828,plain,(
% 241.24/30.71 spl0_230 <=> ~c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)),
% 241.24/30.71 introduced(split_symbol_definition)).
% 241.24/30.71 fof(f6829,plain,(
% 241.24/30.71 ![X0]: (~c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0)|~spl0_230)),
% 241.24/30.71 inference(component_clause,[status(thm)],[f6828])).
% 241.24/30.71 fof(f7543,plain,(
% 241.24/30.71 spl0_266 <=> c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Ozero__class_Ozero(tc_nat)),
% 241.24/30.71 introduced(split_symbol_definition)).
% 241.24/30.71 fof(f7544,plain,(
% 241.24/30.71 c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_266),
% 241.24/30.71 inference(component_clause,[status(thm)],[f7543])).
% 241.24/30.71 fof(f7690,plain,(
% 241.24/30.71 spl0_279 <=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)),
% 241.24/30.71 introduced(split_symbol_definition)).
% 241.24/30.71 fof(f7692,plain,(
% 241.24/30.71 ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)|spl0_279),
% 241.24/30.71 inference(component_clause,[status(thm)],[f7690])).
% 241.24/30.71 fof(f10675,plain,(
% 241.24/30.71 spl0_426 <=> c_HOL_Oord__class_Oless(c_Suc(c_Finite__Set_Ocard(v_G,t_a)),c_Suc(c_Suc(c_Finite__Set_Ocard(v_G,t_a))),tc_nat)),
% 241.24/30.71 introduced(split_symbol_definition)).
% 241.24/30.71 fof(f10677,plain,(
% 241.24/30.71 ~c_HOL_Oord__class_Oless(c_Suc(c_Finite__Set_Ocard(v_G,t_a)),c_Suc(c_Suc(c_Finite__Set_Ocard(v_G,t_a))),tc_nat)|spl0_426),
% 241.24/30.71 inference(component_clause,[status(thm)],[f10675])).
% 241.24/30.71 fof(f10886,plain,(
% 241.24/30.71 spl0_455 <=> c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(c_Finite__Set_Ocard(v_G,t_a),v_na,tc_nat))),c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(c_Finite__Set_Ocard(v_G,t_a),v_na,tc_nat)))),tc_nat)),
% 241.24/30.71 introduced(split_symbol_definition)).
% 241.24/30.71 fof(f10888,plain,(
% 241.24/30.71 ~c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(c_Finite__Set_Ocard(v_G,t_a),v_na,tc_nat))),c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(c_Finite__Set_Ocard(v_G,t_a),v_na,tc_nat)))),tc_nat)|spl0_455),
% 241.24/30.71 inference(component_clause,[status(thm)],[f10886])).
% 241.24/30.71 fof(f11007,plain,(
% 241.24/30.71 spl0_464 <=> c_Finite__Set_Ofinite(v_U,tc_Com_Opname)),
% 241.24/30.71 introduced(split_symbol_definition)).
% 241.24/30.71 fof(f11009,plain,(
% 241.24/30.71 ~c_Finite__Set_Ofinite(v_U,tc_Com_Opname)|spl0_464),
% 241.24/30.71 inference(component_clause,[status(thm)],[f11007])).
% 241.24/30.71 fof(f11020,plain,(
% 241.24/30.71 $false|spl0_464),
% 241.24/30.71 inference(forward_subsumption_resolution,[status(thm)],[f11009,f2802])).
% 241.24/30.71 fof(f11021,plain,(
% 241.24/30.71 spl0_464),
% 241.24/30.71 inference(contradiction_clause,[status(thm)],[f11020])).
% 241.24/30.71 fof(f11254,plain,(
% 241.24/30.71 ![X0,X1]: (c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat),tc_nat))),
% 241.24/30.71 inference(paramodulation,[status(thm)],[f2475,f2484])).
% 241.24/30.71 fof(f11294,plain,(
% 241.24/30.71 ![X0,X1,X2]: (c_lessequals(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat))),
% 241.24/30.71 inference(paramodulation,[status(thm)],[f2484,f2760])).
% 241.24/30.71 fof(f11706,plain,(
% 241.24/30.71 ![X0,X1,X2]: (c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat),tc_nat))),
% 241.24/30.71 inference(paramodulation,[status(thm)],[f2486,f11294])).
% 241.24/30.71 fof(f12386,plain,(
% 241.24/30.71 ![X0,X1]: (c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Otimes__class_Otimes(X0,c_Suc(X1),tc_nat)),tc_nat))),
% 241.24/30.71 inference(paramodulation,[status(thm)],[f1591,f1278])).
% 241.24/30.71 fof(f12388,plain,(
% 241.24/30.71 ![X0,X1]: (c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,c_Suc(X1),tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)=X0)),
% 241.24/30.71 inference(paramodulation,[status(thm)],[f1591,f2490])).
% 241.24/30.71 fof(f12389,plain,(
% 241.24/30.71 ![X0,X1]: (c_HOL_Otimes__class_Otimes(X0,c_HOL_Ominus__class_Ominus(c_Suc(X1),X1,tc_nat),tc_nat)=X0)),
% 241.24/30.71 inference(forward_demodulation,[status(thm)],[f2488,f12388])).
% 241.24/30.71 fof(f12463,plain,(
% 241.24/30.71 ![X0,X1]: (c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)=X1)),
% 241.24/30.71 inference(paramodulation,[status(thm)],[f1592,f2490])).
% 241.24/30.71 fof(f12464,plain,(
% 241.24/30.71 ![X0,X1]: (c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(c_Suc(X0),X0,tc_nat),X1,tc_nat)=X1)),
% 241.24/30.71 inference(forward_demodulation,[status(thm)],[f2489,f12463])).
% 241.24/30.71 fof(f12542,plain,(
% 241.24/30.71 $false|~spl0_207),
% 241.24/30.71 inference(forward_subsumption_resolution,[status(thm)],[f6095,f1175])).
% 241.24/30.71 fof(f12543,plain,(
% 241.24/30.71 ~spl0_207),
% 241.24/30.71 inference(contradiction_clause,[status(thm)],[f12542])).
% 241.24/30.71 fof(f12557,plain,(
% 241.24/30.71 ![X0,X1]: (c_HOL_Otimes__class_Otimes(c_Suc(X0),c_HOL_Ominus__class_Ominus(c_Suc(X1),X1,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(c_Suc(X1),X1,tc_nat),X0,tc_nat))),
% 241.24/30.71 inference(paramodulation,[status(thm)],[f12389,f1592])).
% 241.24/30.71 fof(f12558,plain,(
% 241.24/30.71 ![X0,X1]: (c_Suc(X0)=c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(c_Suc(X1),X1,tc_nat),X0,tc_nat))),
% 241.24/30.71 inference(forward_demodulation,[status(thm)],[f12389,f12557])).
% 241.24/30.71 fof(f12559,plain,(
% 241.24/30.71 ![X0,X1]: (c_HOL_Otimes__class_Otimes(X0,c_Suc(c_HOL_Ominus__class_Ominus(c_Suc(X1),X1,tc_nat)),tc_nat)=c_HOL_Oplus__class_Oplus(X0,X0,tc_nat))),
% 241.24/30.71 inference(paramodulation,[status(thm)],[f12389,f1591])).
% 241.24/30.71 fof(f12637,plain,(
% 241.24/30.71 ![X0,X1]: (c_HOL_Otimes__class_Otimes(c_Suc(c_HOL_Ominus__class_Ominus(c_Suc(X0),X0,tc_nat)),X1,tc_nat)=c_HOL_Oplus__class_Oplus(X1,X1,tc_nat))),
% 241.24/30.71 inference(paramodulation,[status(thm)],[f12464,f1592])).
% 241.24/30.71 fof(f12751,plain,(
% 241.24/30.71 ![X0,X1]: (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(c_Suc(X0),X0,tc_nat),c_Suc(c_Suc(X1)),tc_nat))),
% 241.24/30.71 inference(paramodulation,[status(thm)],[f12464,f12386])).
% 241.24/30.71 fof(f12857,plain,(
% 241.24/30.71 ![X0,X1,X2]: (c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_Suc(X0),X0,tc_nat),X1,tc_nat),c_HOL_Ominus__class_Ominus(c_Suc(X2),X1,tc_nat),tc_nat))),
% 241.24/30.71 inference(paramodulation,[status(thm)],[f12558,f11706])).
% 241.24/30.71 fof(f12858,plain,(
% 241.24/30.71 ![X0,X1,X2]: (c_lessequals(c_HOL_Ominus__class_Ominus(c_Suc(X0),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),c_HOL_Ominus__class_Ominus(c_Suc(X2),X1,tc_nat),tc_nat))),
% 241.24/30.71 inference(forward_demodulation,[status(thm)],[f2484,f12857])).
% 241.24/30.71 fof(f12905,plain,(
% 241.24/30.71 ![X0,X1]: (c_HOL_Ominus__class_Ominus(c_Suc(X0),c_HOL_Ominus__class_Ominus(c_Suc(X1),X1,tc_nat),tc_nat)=X0)),
% 241.24/30.71 inference(paramodulation,[status(thm)],[f12558,f2491])).
% 241.24/30.71 fof(f13972,plain,(
% 241.24/30.71 spl0_546 <=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)),
% 241.24/30.71 introduced(split_symbol_definition)).
% 241.24/30.71 fof(f13974,plain,(
% 241.24/30.71 ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)|spl0_546),
% 241.24/30.71 inference(component_clause,[status(thm)],[f13972])).
% 241.24/30.71 fof(f13977,plain,(
% 241.24/30.71 $false|spl0_546),
% 241.24/30.71 inference(forward_subsumption_resolution,[status(thm)],[f13974,f2894])).
% 241.24/30.71 fof(f13978,plain,(
% 241.24/30.71 spl0_546),
% 241.24/30.71 inference(contradiction_clause,[status(thm)],[f13977])).
% 241.24/30.71 fof(f13979,plain,(
% 241.24/30.71 ![X0,X1]: (c_Suc(c_HOL_Ominus__class_Ominus(c_Suc(X0),X0,tc_nat))=c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(c_Suc(X1),X1,tc_nat),c_HOL_Ominus__class_Ominus(c_Suc(X1),X1,tc_nat),tc_nat))),
% 241.24/30.71 inference(paramodulation,[status(thm)],[f12464,f12559])).
% 241.24/30.71 fof(f13980,plain,(
% 241.24/30.71 ![X0,X1]: (c_Suc(c_HOL_Ominus__class_Ominus(c_Suc(X0),X0,tc_nat))=c_Suc(c_HOL_Ominus__class_Ominus(c_Suc(X1),X1,tc_nat)))),
% 241.24/30.71 inference(forward_demodulation,[status(thm)],[f12558,f13979])).
% 241.24/30.71 fof(f14057,plain,(
% 241.24/30.71 ![X0,X1]: (c_HOL_Otimes__class_Otimes(c_Suc(X0),c_Suc(c_HOL_Ominus__class_Ominus(c_Suc(X1),X1,tc_nat)),tc_nat)=c_HOL_Oplus__class_Oplus(c_Suc(c_HOL_Ominus__class_Ominus(c_Suc(X1),X1,tc_nat)),c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat))),
% 241.24/30.71 inference(paramodulation,[status(thm)],[f12559,f1592])).
% 241.24/30.71 fof(f14058,plain,(
% 241.24/30.71 ![X0,X1]: (c_HOL_Otimes__class_Otimes(c_Suc(X0),c_Suc(c_HOL_Ominus__class_Ominus(c_Suc(X1),X1,tc_nat)),tc_nat)=c_Suc(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(c_Suc(X1),X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat)))),
% 241.24/30.71 inference(forward_demodulation,[status(thm)],[f2147,f14057])).
% 241.24/30.71 fof(f14059,plain,(
% 241.24/30.71 ![X0,X1]: (c_HOL_Otimes__class_Otimes(c_Suc(X0),c_Suc(c_HOL_Ominus__class_Ominus(c_Suc(X1),X1,tc_nat)),tc_nat)=c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat))))),
% 241.24/30.71 inference(forward_demodulation,[status(thm)],[f12558,f14058])).
% 241.24/30.71 fof(f14198,plain,(
% 241.24/30.71 ![X0]: (c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))=c_Suc(c_HOL_Ominus__class_Ominus(c_Suc(X0),X0,tc_nat)))),
% 241.24/30.71 inference(paramodulation,[status(thm)],[f2474,f13980])).
% 241.24/30.71 fof(f14199,plain,(
% 241.24/30.71 ![X0]: (c_Suc(c_HOL_Oone__class_Oone(tc_nat))=c_Suc(c_HOL_Ominus__class_Ominus(c_Suc(X0),X0,tc_nat)))),
% 241.24/30.71 inference(forward_demodulation,[status(thm)],[f1376,f14198])).
% 241.24/30.71 fof(f14227,plain,(
% 241.24/30.71 spl0_555 <=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Oone__class_Oone(tc_nat)),tc_nat)),
% 241.24/30.71 introduced(split_symbol_definition)).
% 241.24/30.71 fof(f14229,plain,(
% 241.24/30.71 ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Oone__class_Oone(tc_nat)),tc_nat)|spl0_555),
% 241.24/30.71 inference(component_clause,[status(thm)],[f14227])).
% 241.24/30.71 fof(f14596,plain,(
% 241.24/30.71 ![X0]: (c_HOL_Otimes__class_Otimes(c_Suc(X0),c_Suc(c_HOL_Oone__class_Oone(tc_nat)),tc_nat)=c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat))))),
% 241.24/30.71 inference(backward_demodulation,[status(thm)],[f14199,f14059])).
% 241.24/30.71 fof(f14609,plain,(
% 241.24/30.71 ![X0]: (c_HOL_Otimes__class_Otimes(c_Suc(c_HOL_Oone__class_Oone(tc_nat)),X0,tc_nat)=c_HOL_Oplus__class_Oplus(X0,X0,tc_nat))),
% 241.24/30.71 inference(backward_demodulation,[status(thm)],[f14199,f12637])).
% 241.24/30.71 fof(f14610,plain,(
% 241.24/30.71 $false|spl0_555),
% 241.24/30.71 inference(forward_subsumption_resolution,[status(thm)],[f14229,f1407])).
% 241.24/30.71 fof(f14611,plain,(
% 241.24/30.71 spl0_555),
% 241.24/30.71 inference(contradiction_clause,[status(thm)],[f14610])).
% 241.24/30.71 fof(f14659,plain,(
% 241.24/30.71 ![X0,X1]: (c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Oone__class_Oone(tc_nat)),c_HOL_Ominus__class_Ominus(c_Suc(X0),X0,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(c_Suc(X1),X1,tc_nat))),
% 241.24/30.71 inference(paramodulation,[status(thm)],[f14199,f12905])).
% 241.24/30.71 fof(f14660,plain,(
% 241.24/30.71 ![X0]: (c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Ominus__class_Ominus(c_Suc(X0),X0,tc_nat))),
% 241.24/30.71 inference(forward_demodulation,[status(thm)],[f12905,f14659])).
% 241.24/30.71 fof(f14730,plain,(
% 241.24/30.71 ![X0,X1]: (c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Oone__class_Oone(tc_nat)),c_Suc(X0),tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_Suc(X1),X1,tc_nat),X0,tc_nat))),
% 241.24/30.71 inference(paramodulation,[status(thm)],[f14199,f2714])).
% 241.24/30.71 fof(f14731,plain,(
% 241.24/30.71 ![X0,X1]: (c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_Suc(X1),X1,tc_nat),X0,tc_nat))),
% 241.24/30.71 inference(forward_demodulation,[status(thm)],[f2714,f14730])).
% 241.24/30.71 fof(f14732,plain,(
% 241.24/30.71 ![X0,X1]: (c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)=c_HOL_Ominus__class_Ominus(c_Suc(X1),c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),tc_nat))),
% 241.24/30.71 inference(forward_demodulation,[status(thm)],[f2484,f14731])).
% 241.24/30.71 fof(f14814,plain,(
% 241.24/30.71 ![X0]: (c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_Suc(c_Suc(X0)),tc_nat))),
% 241.24/30.71 inference(backward_demodulation,[status(thm)],[f14660,f12751])).
% 241.24/30.71 fof(f14851,plain,(
% 241.24/30.71 ![X0,X1]: (c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Ominus__class_Ominus(c_Suc(X1),X0,tc_nat),tc_nat))),
% 241.24/30.71 inference(backward_demodulation,[status(thm)],[f14732,f12858])).
% 241.24/30.71 fof(f15209,plain,(
% 241.24/30.71 ![X0,X1]: (c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Ominus__class_Ominus(c_Suc(X1),X0,tc_nat),tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))),
% 241.24/30.71 inference(paramodulation,[status(thm)],[f11254,f14851])).
% 241.24/30.71 fof(f15314,plain,(
% 241.24/30.71 spl0_571 <=> ~c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
% 241.24/30.71 introduced(split_symbol_definition)).
% 241.24/30.71 fof(f15315,plain,(
% 241.24/30.71 ![X0]: (~c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)|~spl0_571)),
% 241.24/30.71 inference(component_clause,[status(thm)],[f15314])).
% 241.24/30.71 fof(f15338,plain,(
% 241.24/30.71 $false|~spl0_571),
% 241.24/30.71 inference(backward_subsumption_resolution,[status(thm)],[f15209,f15315])).
% 241.24/30.71 fof(f15339,plain,(
% 241.24/30.71 ~spl0_571),
% 241.24/30.71 inference(contradiction_clause,[status(thm)],[f15338])).
% 241.24/30.71 fof(f17996,plain,(
% 241.24/30.71 spl0_632 <=> class_OrderedGroup_Ocomm__monoid__add(tc_nat)),
% 241.24/30.71 introduced(split_symbol_definition)).
% 241.24/30.71 fof(f17998,plain,(
% 241.24/30.71 ~class_OrderedGroup_Ocomm__monoid__add(tc_nat)|spl0_632),
% 241.24/30.71 inference(component_clause,[status(thm)],[f17996])).
% 241.24/30.71 fof(f18019,plain,(
% 241.24/30.71 $false|spl0_632),
% 241.24/30.71 inference(forward_subsumption_resolution,[status(thm)],[f17998,f2847])).
% 241.24/30.71 fof(f18020,plain,(
% 241.24/30.71 spl0_632),
% 241.24/30.71 inference(contradiction_clause,[status(thm)],[f18019])).
% 241.24/30.71 fof(f20681,plain,(
% 241.24/30.71 spl0_685 <=> c_Finite__Set_Ofinite(v_G,t_a)),
% 241.24/30.71 introduced(split_symbol_definition)).
% 241.24/30.71 fof(f20683,plain,(
% 241.24/30.71 ~c_Finite__Set_Ofinite(v_G,t_a)|spl0_685),
% 241.24/30.71 inference(component_clause,[status(thm)],[f20681])).
% 241.24/30.71 fof(f20699,plain,(
% 241.24/30.71 ![X0,X1,X2]: (~c_lessequals(v_G,c_Set_Oimage(X0,X1,X2,t_a),tc_fun(t_a,tc_bool))|~c_Finite__Set_Ofinite(X1,X2)|spl0_685)),
% 241.24/30.71 inference(resolution,[status(thm)],[f20683,f2733])).
% 241.24/30.71 fof(f20740,plain,(
% 241.24/30.71 ~c_Finite__Set_Ofinite(v_U,tc_Com_Opname)|spl0_685),
% 241.24/30.71 inference(resolution,[status(thm)],[f20699,f2803])).
% 241.24/30.71 fof(f20741,plain,(
% 241.24/30.71 ~spl0_464|spl0_685),
% 241.24/30.71 inference(split_clause,[status(thm)],[f20740,f11007,f20681])).
% 241.24/30.71 fof(f20752,plain,(
% 241.24/30.71 $false|~spl0_230),
% 241.24/30.71 inference(forward_subsumption_resolution,[status(thm)],[f6829,f2107])).
% 241.24/30.71 fof(f20753,plain,(
% 241.24/30.71 ~spl0_230),
% 241.24/30.71 inference(contradiction_clause,[status(thm)],[f20752])).
% 241.24/30.71 fof(f26126,plain,(
% 241.24/30.71 ![X0]: (~c_in(hAPP(v_mgt__call,v_pn),c_HOL_Ominus__class_Ominus(v_G,X0,tc_fun(t_a,tc_bool)),t_a))),
% 241.24/30.71 inference(resolution,[status(thm)],[f1795,f2807])).
% 241.24/30.71 fof(f26133,plain,(
% 241.24/30.71 spl0_838 <=> c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(c_Finite__Set_Ocard(v_G,t_a),v_na,tc_nat))),tc_nat)),
% 241.24/30.71 introduced(split_symbol_definition)).
% 241.24/30.71 fof(f26135,plain,(
% 241.24/30.71 ~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(c_Finite__Set_Ocard(v_G,t_a),v_na,tc_nat))),tc_nat)|spl0_838),
% 241.24/30.71 inference(component_clause,[status(thm)],[f26133])).
% 241.24/30.71 fof(f26196,plain,(
% 241.24/30.71 $false|spl0_838),
% 241.24/30.71 inference(forward_subsumption_resolution,[status(thm)],[f26135,f14814])).
% 241.24/30.71 fof(f26197,plain,(
% 241.24/30.71 spl0_838),
% 241.24/30.71 inference(contradiction_clause,[status(thm)],[f26196])).
% 241.24/30.71 fof(f27354,plain,(
% 241.24/30.71 spl0_866 <=> c_in(hAPP(v_mgt__call,v_pn),X0,t_a)),
% 241.24/30.71 introduced(split_symbol_definition)).
% 241.24/30.71 fof(f27355,plain,(
% 241.24/30.71 ![X0]: (c_in(hAPP(v_mgt__call,v_pn),X0,t_a)|~spl0_866)),
% 241.24/30.71 inference(component_clause,[status(thm)],[f27354])).
% 241.24/30.71 fof(f27363,plain,(
% 241.24/30.71 ![X0,X1]: (~c_in(hAPP(v_mgt__call,v_pn),c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(v_G,X0,tc_fun(t_a,tc_bool)),X1,tc_fun(t_a,tc_bool)),t_a))),
% 241.24/30.71 inference(resolution,[status(thm)],[f26126,f1795])).
% 241.24/30.71 fof(f29689,plain,(
% 241.24/30.71 c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_266),
% 241.24/30.71 inference(forward_demodulation,[status(thm)],[f1376,f7544])).
% 241.24/30.71 fof(f30048,plain,(
% 241.24/30.71 ![X0]: (c_HOL_Otimes__class_Otimes(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)=c_HOL_Oplus__class_Oplus(X0,X0,tc_nat)|~spl0_266)),
% 241.24/30.71 inference(backward_demodulation,[status(thm)],[f29689,f14609])).
% 241.24/30.71 fof(f30049,plain,(
% 241.24/30.71 ![X0]: (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)=c_HOL_Oplus__class_Oplus(X0,X0,tc_nat)|~spl0_266)),
% 241.24/30.71 inference(forward_demodulation,[status(thm)],[f1376,f30048])).
% 241.24/30.71 fof(f30050,plain,(
% 241.24/30.71 ![X0]: (X0=c_HOL_Oplus__class_Oplus(X0,X0,tc_nat)|~spl0_266)),
% 241.24/30.71 inference(forward_demodulation,[status(thm)],[f1242,f30049])).
% 241.24/30.71 fof(f30080,plain,(
% 241.24/30.71 ![X0]: (c_HOL_Otimes__class_Otimes(c_Suc(X0),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)=c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat)))|~spl0_266)),
% 241.24/30.71 inference(backward_demodulation,[status(thm)],[f29689,f14596])).
% 241.24/30.71 fof(f30081,plain,(
% 241.24/30.71 ![X0]: (c_HOL_Otimes__class_Otimes(c_Suc(X0),c_HOL_Oone__class_Oone(tc_nat),tc_nat)=c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat)))|~spl0_266)),
% 241.24/30.71 inference(forward_demodulation,[status(thm)],[f1376,f30080])).
% 241.24/30.71 fof(f30082,plain,(
% 241.24/30.71 ![X0]: (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_Suc(X0),tc_nat)=c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat)))|~spl0_266)),
% 241.24/30.71 inference(forward_demodulation,[status(thm)],[f1134,f30081])).
% 241.24/30.71 fof(f30083,plain,(
% 241.24/30.71 ![X0]: (c_Suc(X0)=c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat)))|~spl0_266)),
% 241.24/30.71 inference(forward_demodulation,[status(thm)],[f1242,f30082])).
% 241.24/30.71 fof(f30084,plain,(
% 241.24/30.71 ![X0]: (c_Suc(X0)=c_Suc(c_Suc(X0))|~spl0_266)),
% 241.24/30.71 inference(forward_demodulation,[status(thm)],[f30050,f30083])).
% 241.24/30.71 fof(f30085,plain,(
% 241.24/30.71 $false|~spl0_266),
% 241.24/30.71 inference(forward_subsumption_resolution,[status(thm)],[f30084,f2692])).
% 241.24/30.71 fof(f30086,plain,(
% 241.24/30.71 ~spl0_266),
% 241.24/30.71 inference(contradiction_clause,[status(thm)],[f30085])).
% 241.24/30.71 fof(f36132,plain,(
% 241.24/30.71 spl0_964 <=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat)),
% 241.24/30.71 introduced(split_symbol_definition)).
% 241.24/30.71 fof(f36134,plain,(
% 241.24/30.71 ~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat)|spl0_964),
% 241.24/30.71 inference(component_clause,[status(thm)],[f36132])).
% 241.24/30.71 fof(f36368,plain,(
% 241.24/30.71 $false|spl0_964),
% 241.24/30.71 inference(forward_subsumption_resolution,[status(thm)],[f36134,f2830])).
% 241.24/30.71 fof(f36369,plain,(
% 241.24/30.71 spl0_964),
% 241.24/30.71 inference(contradiction_clause,[status(thm)],[f36368])).
% 241.24/30.71 fof(f36406,plain,(
% 241.24/30.71 $false|spl0_455),
% 241.24/30.71 inference(forward_subsumption_resolution,[status(thm)],[f10888,f2138])).
% 241.24/30.71 fof(f36407,plain,(
% 241.24/30.71 spl0_455),
% 241.24/30.71 inference(contradiction_clause,[status(thm)],[f36406])).
% 241.24/30.71 fof(f36408,plain,(
% 241.24/30.71 $false|spl0_426),
% 241.24/30.71 inference(forward_subsumption_resolution,[status(thm)],[f10677,f2138])).
% 241.24/30.71 fof(f36409,plain,(
% 241.24/30.71 spl0_426),
% 241.24/30.71 inference(contradiction_clause,[status(thm)],[f36408])).
% 241.24/30.71 fof(f36410,plain,(
% 241.24/30.71 ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)|spl0_279),
% 241.24/30.71 inference(forward_demodulation,[status(thm)],[f1376,f7692])).
% 241.24/30.71 fof(f36411,plain,(
% 241.24/30.71 $false|spl0_279),
% 241.24/30.71 inference(forward_subsumption_resolution,[status(thm)],[f36410,f2894])).
% 241.24/30.71 fof(f36412,plain,(
% 241.24/30.71 spl0_279),
% 241.24/30.71 inference(contradiction_clause,[status(thm)],[f36411])).
% 241.24/30.71 fof(f36518,plain,(
% 241.24/30.71 spl0_1014 <=> c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_Suc(c_Suc(c_Finite__Set_Ocard(v_G,t_a))),tc_nat)),
% 241.24/30.71 introduced(split_symbol_definition)).
% 241.24/30.71 fof(f36520,plain,(
% 241.24/30.71 ~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_Suc(c_Suc(c_Finite__Set_Ocard(v_G,t_a))),tc_nat)|spl0_1014),
% 241.24/30.71 inference(component_clause,[status(thm)],[f36518])).
% 241.24/30.71 fof(f36842,plain,(
% 241.24/30.71 $false|spl0_1014),
% 241.24/30.71 inference(forward_subsumption_resolution,[status(thm)],[f36520,f14814])).
% 241.24/30.71 fof(f36843,plain,(
% 241.24/30.71 spl0_1014),
% 241.24/30.71 inference(contradiction_clause,[status(thm)],[f36842])).
% 241.24/30.71 fof(f40633,plain,(
% 241.24/30.71 $false|~spl0_866),
% 241.24/30.71 inference(backward_subsumption_resolution,[status(thm)],[f27363,f27355])).
% 241.24/30.71 fof(f40634,plain,(
% 241.24/30.71 ~spl0_866),
% 241.24/30.71 inference(contradiction_clause,[status(thm)],[f40633])).
% 241.24/30.71 fof(f45289,plain,(
% 241.24/30.71 spl0_1085 <=> c_Finite__Set_Ocard(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),v_G,t_a),t_a)=c_Suc(c_Finite__Set_Ocard(v_G,t_a))),
% 241.24/30.71 introduced(split_symbol_definition)).
% 241.24/30.71 fof(f45290,plain,(
% 241.24/30.71 c_Finite__Set_Ocard(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),v_G,t_a),t_a)=c_Suc(c_Finite__Set_Ocard(v_G,t_a))|~spl0_1085),
% 241.24/30.71 inference(component_clause,[status(thm)],[f45289])).
% 241.24/30.71 fof(f45292,plain,(
% 241.24/30.71 c_Finite__Set_Ocard(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),v_G,t_a),t_a)=c_Suc(c_Finite__Set_Ocard(v_G,t_a))|~c_Finite__Set_Ofinite(v_G,t_a)),
% 241.24/30.71 inference(resolution,[status(thm)],[f2745,f2807])).
% 241.24/30.71 fof(f45293,plain,(
% 241.24/30.71 spl0_1085|~spl0_685),
% 241.24/30.71 inference(split_clause,[status(thm)],[f45292,f45289,f20681])).
% 241.24/30.71 fof(f48577,plain,(
% 241.24/30.71 ![X0,X1]: (c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)),X1,tc_nat)=c_Suc(X0))),
% 241.24/30.71 inference(paramodulation,[status(thm)],[f2147,f2490])).
% 241.24/30.71 fof(f48757,plain,(
% 241.24/30.71 ~c_Finite__Set_Ocard(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),v_G,t_a),t_a)=c_Suc(c_Finite__Set_Ocard(v_G,t_a))|~spl0_84),
% 241.24/30.71 inference(forward_demodulation,[status(thm)],[f48577,f4115])).
% 241.24/30.71 fof(f48758,plain,(
% 241.24/30.71 $false|~spl0_84|~spl0_1085),
% 241.24/30.71 inference(forward_subsumption_resolution,[status(thm)],[f45290,f48757])).
% 241.83/30.81 fof(f48759,plain,(
% 241.83/30.81 ~spl0_84|~spl0_1085),
% 241.83/30.81 inference(contradiction_clause,[status(thm)],[f48758])).
% 241.83/30.81 fof(f48760,plain,(
% 241.83/30.81 $false),
% 241.83/30.81 inference(sat_refutation,[status(thm)],[f4074,f4082,f11021,f12543,f13978,f14611,f15339,f18020,f20741,f20753,f26197,f30086,f36369,f36407,f36409,f36412,f36843,f40634,f45293,f48759])).
% 241.83/30.81 % SZS output end CNFRefutation for theBenchmark.p
% 241.83/30.85 % Elapsed time: 30.544822 seconds
% 241.83/30.85 % CPU time: 242.001505 seconds
% 241.83/30.85 % Total memory used: 888.758 MB
% 241.83/30.85 % Net memory used: 858.020 MB
%------------------------------------------------------------------------------