TSTP Solution File: SWV885-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% 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 : n011.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 12:44:10 EDT 2023
% Result : Unsatisfiable 76.78s 10.14s
% Output : CNFRefutation 77.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWV885-1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.35 % Computer : n011.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8042.1875MB
% 0.10/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Tue May 30 11:34:42 EDT 2023
% 0.10/0.35 % CPUTime :
% 0.16/0.41 % Drodi V3.5.1
% 76.78/10.14 % Refutation found
% 76.78/10.14 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 76.78/10.14 % SZS output start CNFRefutation for theBenchmark
% 76.78/10.14 fof(f51,axiom,(
% 76.78/10.14 (![V_n,V_m]: (c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ))),
% 76.78/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 76.78/10.14 fof(f840,axiom,(
% 76.78/10.14 (![V_m]: (c_HOL_Ominus__class_Ominus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m ))),
% 76.78/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 76.78/10.14 fof(f846,axiom,(
% 76.78/10.14 (![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) ))),
% 76.78/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 76.78/10.14 fof(f853,axiom,(
% 76.78/10.14 (![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 ))),
% 76.78/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 76.78/10.14 fof(f907,axiom,(
% 76.78/10.14 (![V_m,V_n]: (( c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)| ~ c_lessequals(V_m,V_n,tc_nat) ) ))),
% 76.78/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 76.78/10.14 fof(f966,axiom,(
% 76.78/10.14 (![V_A,T_a,V_B]: (( c_Finite__Set_Ofinite(V_A,T_a)| ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))| ~ c_Finite__Set_Ofinite(V_B,T_a) ) ))),
% 76.78/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 76.78/10.14 fof(f993,axiom,(
% 76.78/10.14 (![V_h,V_F,T_a,T_b]: (( c_Finite__Set_Ofinite(c_Set_Oimage(V_h,V_F,T_a,T_b),T_b)| ~ c_Finite__Set_Ofinite(V_F,T_a) ) ))),
% 76.78/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 76.78/10.14 fof(f1002,axiom,(
% 76.78/10.14 (![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) ))),
% 76.78/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 76.78/10.14 fof(f1009,axiom,(
% 76.78/10.14 (![V_m,V_n]: (( c_HOL_Ominus__class_Ominus(c_Suc(V_m),V_n,tc_nat) = c_Suc(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat))| ~ c_lessequals(V_n,V_m,tc_nat) ) ))),
% 76.78/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 76.78/10.14 fof(f1020,axiom,(
% 76.78/10.14 (![V_x,V_S,T_a]: (( c_in(V_x,V_S,T_a)| ~ hBOOL(hAPP(V_S,V_x)) ) ))),
% 76.78/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 76.78/10.14 fof(f1021,axiom,(
% 76.78/10.14 (![V_S,V_x,T_a]: (( hBOOL(hAPP(V_S,V_x))| ~ c_in(V_x,V_S,T_a) ) ))),
% 76.78/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 76.78/10.14 fof(f1022,axiom,(
% 76.78/10.14 (![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) ) ))),
% 76.78/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 76.78/10.14 fof(f1030,axiom,(
% 76.78/10.14 (![V_m,V_n]: (c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat) ))),
% 76.78/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 76.78/10.14 fof(f1032,axiom,(
% 76.78/10.14 (![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(c_HOL_Ominus__class_Ominus(V_i,V_k,tc_nat),V_j,tc_nat) ))),
% 76.78/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 76.78/10.14 fof(f1056,negated_conjecture,(
% 76.78/10.14 c_Finite__Set_Ofinite(v_U,tc_Com_Opname) ),
% 76.78/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 76.78/10.14 fof(f1057,negated_conjecture,(
% 76.78/10.14 c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)) ),
% 76.78/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 76.78/10.14 fof(f1058,negated_conjecture,(
% 76.78/10.14 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) ),
% 76.78/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 76.78/10.14 fof(f1059,negated_conjecture,(
% 76.78/10.14 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) ),
% 76.78/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 76.78/10.14 fof(f1061,negated_conjecture,(
% 76.78/10.14 ~ c_in(hAPP(v_mgt__call,v_pn),v_G,t_a) ),
% 76.78/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 76.78/10.14 fof(f1062,negated_conjecture,(
% 76.78/10.14 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) ),
% 76.78/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 76.78/10.14 fof(f1204,plain,(
% 76.78/10.14 ![X0,X1]: (c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))),
% 76.78/10.14 inference(cnf_transformation,[status(esa)],[f51])).
% 76.78/10.14 fof(f2474,plain,(
% 76.78/10.14 ![X0]: (c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=X0)),
% 76.78/10.14 inference(cnf_transformation,[status(esa)],[f840])).
% 76.78/10.14 fof(f2484,plain,(
% 76.78/10.14 ![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))),
% 76.78/10.14 inference(cnf_transformation,[status(esa)],[f846])).
% 76.78/10.14 fof(f2491,plain,(
% 76.78/10.14 ![X0,X1]: (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X0,tc_nat)=X1)),
% 76.78/10.14 inference(cnf_transformation,[status(esa)],[f853])).
% 76.78/10.14 fof(f2565,plain,(
% 76.78/10.14 ![X0,X1]: (c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~c_lessequals(X0,X1,tc_nat))),
% 76.78/10.14 inference(cnf_transformation,[status(esa)],[f907])).
% 76.78/10.14 fof(f2661,plain,(
% 76.78/10.14 ![T_a,V_B]: ((![V_A]: (c_Finite__Set_Ofinite(V_A,T_a)|~c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))))|~c_Finite__Set_Ofinite(V_B,T_a))),
% 76.78/10.14 inference(miniscoping,[status(esa)],[f966])).
% 76.78/10.14 fof(f2662,plain,(
% 76.78/10.14 ![X0,X1,X2]: (c_Finite__Set_Ofinite(X0,X1)|~c_lessequals(X0,X2,tc_fun(X1,tc_bool))|~c_Finite__Set_Ofinite(X2,X1))),
% 76.78/10.14 inference(cnf_transformation,[status(esa)],[f2661])).
% 76.78/10.14 fof(f2703,plain,(
% 76.78/10.14 ![V_F,T_a]: ((![V_h,T_b]: c_Finite__Set_Ofinite(c_Set_Oimage(V_h,V_F,T_a,T_b),T_b))|~c_Finite__Set_Ofinite(V_F,T_a))),
% 76.78/10.14 inference(miniscoping,[status(esa)],[f993])).
% 76.78/10.14 fof(f2704,plain,(
% 76.78/10.14 ![X0,X1,X2,X3]: (c_Finite__Set_Ofinite(c_Set_Oimage(X0,X1,X2,X3),X3)|~c_Finite__Set_Ofinite(X1,X2))),
% 76.78/10.14 inference(cnf_transformation,[status(esa)],[f2703])).
% 76.78/10.14 fof(f2714,plain,(
% 76.78/10.14 ![X0,X1]: (c_HOL_Ominus__class_Ominus(c_Suc(X0),c_Suc(X1),tc_nat)=c_HOL_Ominus__class_Ominus(X0,X1,tc_nat))),
% 76.78/10.14 inference(cnf_transformation,[status(esa)],[f1002])).
% 76.78/10.14 fof(f2724,plain,(
% 76.78/10.14 ![X0,X1]: (c_HOL_Ominus__class_Ominus(c_Suc(X0),X1,tc_nat)=c_Suc(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat))|~c_lessequals(X1,X0,tc_nat))),
% 76.78/10.14 inference(cnf_transformation,[status(esa)],[f1009])).
% 76.78/10.14 fof(f2740,plain,(
% 76.78/10.14 ![V_x,V_S]: ((![T_a]: c_in(V_x,V_S,T_a))|~hBOOL(hAPP(V_S,V_x)))),
% 76.78/10.14 inference(miniscoping,[status(esa)],[f1020])).
% 76.78/10.14 fof(f2741,plain,(
% 76.78/10.14 ![X0,X1,X2]: (c_in(X0,X1,X2)|~hBOOL(hAPP(X1,X0)))),
% 76.78/10.14 inference(cnf_transformation,[status(esa)],[f2740])).
% 76.78/10.14 fof(f2742,plain,(
% 76.78/10.14 ![V_S,V_x]: (hBOOL(hAPP(V_S,V_x))|(![T_a]: ~c_in(V_x,V_S,T_a)))),
% 76.78/10.14 inference(miniscoping,[status(esa)],[f1021])).
% 76.78/10.14 fof(f2743,plain,(
% 76.78/10.14 ![X0,X1,X2]: (hBOOL(hAPP(X0,X1))|~c_in(X1,X0,X2))),
% 76.78/10.14 inference(cnf_transformation,[status(esa)],[f2742])).
% 76.78/10.14 fof(f2744,plain,(
% 76.78/10.14 ![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))),
% 76.78/10.14 inference(miniscoping,[status(esa)],[f1022])).
% 76.78/10.14 fof(f2745,plain,(
% 76.78/10.14 ![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))),
% 76.78/10.14 inference(cnf_transformation,[status(esa)],[f2744])).
% 76.78/10.14 fof(f2760,plain,(
% 76.78/10.14 ![X0,X1]: (c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat))),
% 76.78/10.14 inference(cnf_transformation,[status(esa)],[f1030])).
% 76.78/10.14 fof(f2763,plain,(
% 76.78/10.14 ![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(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat))),
% 76.78/10.14 inference(cnf_transformation,[status(esa)],[f1032])).
% 76.78/10.14 fof(f2802,plain,(
% 76.78/10.14 c_Finite__Set_Ofinite(v_U,tc_Com_Opname)),
% 76.78/10.14 inference(cnf_transformation,[status(esa)],[f1056])).
% 76.78/10.14 fof(f2803,plain,(
% 76.78/10.14 c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool))),
% 76.78/10.14 inference(cnf_transformation,[status(esa)],[f1057])).
% 76.78/10.14 fof(f2804,plain,(
% 76.78/10.14 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)),
% 76.78/10.14 inference(cnf_transformation,[status(esa)],[f1058])).
% 76.78/10.14 fof(f2805,plain,(
% 76.78/10.14 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)),
% 76.78/10.14 inference(cnf_transformation,[status(esa)],[f1059])).
% 76.78/10.14 fof(f2807,plain,(
% 76.78/10.14 ~c_in(hAPP(v_mgt__call,v_pn),v_G,t_a)),
% 76.78/10.14 inference(cnf_transformation,[status(esa)],[f1061])).
% 76.78/10.14 fof(f2808,plain,(
% 76.78/10.14 ~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)),
% 76.78/10.14 inference(cnf_transformation,[status(esa)],[f1062])).
% 76.78/10.14 fof(f2885,plain,(
% 76.78/10.14 ![X0]: (c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat))),
% 76.78/10.14 inference(paramodulation,[status(thm)],[f1204,f2760])).
% 76.78/10.14 fof(f2969,plain,(
% 76.78/10.14 spl0_4 <=> 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))),
% 76.78/10.14 introduced(split_symbol_definition)).
% 76.78/10.14 fof(f2970,plain,(
% 76.78/10.14 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_4),
% 76.78/10.14 inference(component_clause,[status(thm)],[f2969])).
% 76.78/10.14 fof(f2982,plain,(
% 76.78/10.14 ~c_Suc(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),v_na,tc_nat)|~spl0_4),
% 76.78/10.14 inference(backward_demodulation,[status(thm)],[f2970,f2808])).
% 76.78/10.14 fof(f3802,plain,(
% 76.78/10.14 spl0_48 <=> c_Finite__Set_Ofinite(v_U,tc_Com_Opname)),
% 76.78/10.14 introduced(split_symbol_definition)).
% 76.78/10.14 fof(f3804,plain,(
% 76.78/10.14 ~c_Finite__Set_Ofinite(v_U,tc_Com_Opname)|spl0_48),
% 76.78/10.14 inference(component_clause,[status(thm)],[f3802])).
% 76.78/10.14 fof(f3811,plain,(
% 76.78/10.14 $false|spl0_48),
% 76.78/10.14 inference(forward_subsumption_resolution,[status(thm)],[f3804,f2802])).
% 76.78/10.14 fof(f3812,plain,(
% 76.78/10.14 spl0_48),
% 76.78/10.14 inference(contradiction_clause,[status(thm)],[f3811])).
% 76.78/10.14 fof(f3867,plain,(
% 76.78/10.14 ![X0]: (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)=X0)),
% 76.78/10.14 inference(paramodulation,[status(thm)],[f2474,f2491])).
% 76.78/10.14 fof(f6324,plain,(
% 76.78/10.14 spl0_114 <=> c_in(X1,v_G,t_a)|c_Finite__Set_Ocard(c_Set_Oinsert(X1,v_G,t_a),t_a)=c_Suc(c_Finite__Set_Ocard(v_G,t_a))),
% 76.78/10.14 introduced(split_symbol_definition)).
% 76.78/10.14 fof(f6325,plain,(
% 76.78/10.14 ![X0]: (c_in(X0,v_G,t_a)|c_Finite__Set_Ocard(c_Set_Oinsert(X0,v_G,t_a),t_a)=c_Suc(c_Finite__Set_Ocard(v_G,t_a))|~spl0_114)),
% 76.78/10.14 inference(component_clause,[status(thm)],[f6324])).
% 76.78/10.14 fof(f9133,plain,(
% 76.78/10.14 spl0_164 <=> c_Finite__Set_Ofinite(v_G,t_a)),
% 76.78/10.14 introduced(split_symbol_definition)).
% 76.78/10.14 fof(f9134,plain,(
% 76.78/10.14 c_Finite__Set_Ofinite(v_G,t_a)|~spl0_164),
% 76.78/10.14 inference(component_clause,[status(thm)],[f9133])).
% 76.78/10.14 fof(f12120,plain,(
% 76.78/10.14 spl0_245 <=> c_Finite__Set_Ofinite(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a)),
% 76.78/10.14 introduced(split_symbol_definition)).
% 76.78/10.14 fof(f12122,plain,(
% 76.78/10.14 ~c_Finite__Set_Ofinite(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a)|spl0_245),
% 76.78/10.14 inference(component_clause,[status(thm)],[f12120])).
% 76.78/10.14 fof(f12173,plain,(
% 76.78/10.14 ~c_Finite__Set_Ofinite(v_U,tc_Com_Opname)|spl0_245),
% 76.78/10.14 inference(resolution,[status(thm)],[f12122,f2704])).
% 76.78/10.14 fof(f12174,plain,(
% 76.78/10.14 ~spl0_48|spl0_245),
% 76.78/10.14 inference(split_clause,[status(thm)],[f12173,f3802,f12120])).
% 76.78/10.14 fof(f12323,plain,(
% 76.78/10.14 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|c_in(X0,X1,X3))),
% 76.78/10.14 inference(resolution,[status(thm)],[f2743,f2741])).
% 76.78/10.14 fof(f12327,plain,(
% 76.78/10.14 ![X0]: (~c_in(hAPP(v_mgt__call,v_pn),v_G,X0))),
% 76.78/10.14 inference(resolution,[status(thm)],[f12323,f2807])).
% 76.78/10.14 fof(f12990,plain,(
% 76.78/10.14 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_114),
% 76.78/10.14 inference(resolution,[status(thm)],[f12327,f6325])).
% 76.78/10.14 fof(f16548,plain,(
% 76.78/10.14 spl0_4|~spl0_114),
% 76.78/10.14 inference(split_clause,[status(thm)],[f12990,f2969,f6324])).
% 76.78/10.14 fof(f23873,plain,(
% 76.78/10.14 c_HOL_Ominus__class_Ominus(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_HOL_Ozero__class_Ozero(tc_nat)),
% 76.78/10.14 inference(resolution,[status(thm)],[f2565,f2804])).
% 76.78/10.14 fof(f29174,plain,(
% 76.78/10.14 c_Finite__Set_Ofinite(v_G,t_a)|~c_Finite__Set_Ofinite(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a)),
% 76.78/10.14 inference(resolution,[status(thm)],[f2803,f2662])).
% 76.78/10.14 fof(f29175,plain,(
% 76.78/10.14 spl0_164|~spl0_245),
% 76.78/10.14 inference(split_clause,[status(thm)],[f29174,f9133,f12120])).
% 76.78/10.14 fof(f30754,plain,(
% 76.78/10.14 c_HOL_Ominus__class_Ominus(c_Suc(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)=c_Suc(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))),
% 76.78/10.14 inference(resolution,[status(thm)],[f2724,f2804])).
% 76.78/10.14 fof(f30755,plain,(
% 76.78/10.14 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)=c_Suc(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))),
% 76.78/10.14 inference(forward_demodulation,[status(thm)],[f2714,f30754])).
% 76.78/10.14 fof(f30756,plain,(
% 76.78/10.14 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)=c_Suc(c_Finite__Set_Ocard(v_G,t_a))),
% 76.78/10.14 inference(forward_demodulation,[status(thm)],[f2805,f30755])).
% 76.78/10.14 fof(f30757,plain,(
% 76.78/10.14 $false|~spl0_4),
% 76.78/10.14 inference(forward_subsumption_resolution,[status(thm)],[f30756,f2982])).
% 76.78/10.14 fof(f30758,plain,(
% 76.78/10.14 ~spl0_4),
% 76.78/10.14 inference(contradiction_clause,[status(thm)],[f30757])).
% 76.78/10.14 fof(f32048,plain,(
% 76.78/10.14 ![X0,X1,X2]: (c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat))),
% 76.78/10.14 inference(forward_demodulation,[status(thm)],[f2484,f2763])).
% 76.78/10.14 fof(f32049,plain,(
% 76.78/10.14 ![X0,X1,X2]: (c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat))),
% 76.78/10.14 inference(forward_demodulation,[status(thm)],[f2484,f32048])).
% 76.78/10.14 fof(f33742,plain,(
% 76.78/10.14 spl0_687 <=> c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(v_na,c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),tc_nat),tc_nat)),
% 76.78/10.14 introduced(split_symbol_definition)).
% 76.78/10.14 fof(f33744,plain,(
% 76.78/10.14 ~c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(v_na,c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),tc_nat),tc_nat)|spl0_687),
% 76.78/10.14 inference(component_clause,[status(thm)],[f33742])).
% 76.78/10.14 fof(f33786,plain,(
% 76.78/10.14 $false|spl0_687),
% 76.78/10.14 inference(forward_subsumption_resolution,[status(thm)],[f33744,f2885])).
% 76.78/10.14 fof(f33787,plain,(
% 76.78/10.14 spl0_687),
% 76.78/10.14 inference(contradiction_clause,[status(thm)],[f33786])).
% 76.78/10.14 fof(f34065,plain,(
% 76.78/10.14 spl0_697 <=> c_HOL_Ominus__class_Ominus(c_Suc(v_na),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)),
% 76.78/10.14 introduced(split_symbol_definition)).
% 76.78/10.14 fof(f34067,plain,(
% 76.78/10.14 ~c_HOL_Ominus__class_Ominus(c_Suc(v_na),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|spl0_697),
% 76.78/10.14 inference(component_clause,[status(thm)],[f34065])).
% 76.78/10.14 fof(f34112,plain,(
% 76.78/10.14 ~c_HOL_Ominus__class_Ominus(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_HOL_Ozero__class_Ozero(tc_nat)|spl0_697),
% 76.78/10.14 inference(forward_demodulation,[status(thm)],[f3867,f34067])).
% 76.78/10.14 fof(f34113,plain,(
% 76.78/10.14 ~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|spl0_697),
% 76.78/10.14 inference(forward_demodulation,[status(thm)],[f23873,f34112])).
% 76.78/10.14 fof(f34114,plain,(
% 76.78/10.14 $false|spl0_697),
% 76.78/10.14 inference(trivial_equality_resolution,[status(esa)],[f34113])).
% 76.78/10.14 fof(f34115,plain,(
% 76.78/10.14 spl0_697),
% 76.78/10.14 inference(contradiction_clause,[status(thm)],[f34114])).
% 76.78/10.14 fof(f34120,plain,(
% 76.78/10.14 spl0_699 <=> c_HOL_Ominus__class_Ominus(c_Suc(v_na),c_HOL_Oplus__class_Oplus(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)),
% 76.78/10.14 introduced(split_symbol_definition)).
% 76.78/10.14 fof(f34122,plain,(
% 76.78/10.14 ~c_HOL_Ominus__class_Ominus(c_Suc(v_na),c_HOL_Oplus__class_Oplus(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|spl0_699),
% 77.17/10.19 inference(component_clause,[status(thm)],[f34120])).
% 77.17/10.19 fof(f34171,plain,(
% 77.17/10.19 ~c_HOL_Ominus__class_Ominus(c_Suc(v_na),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|spl0_699),
% 77.17/10.19 inference(forward_demodulation,[status(thm)],[f32049,f34122])).
% 77.17/10.19 fof(f34172,plain,(
% 77.17/10.19 ~c_HOL_Ominus__class_Ominus(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_HOL_Ozero__class_Ozero(tc_nat)|spl0_699),
% 77.17/10.19 inference(forward_demodulation,[status(thm)],[f3867,f34171])).
% 77.17/10.19 fof(f34173,plain,(
% 77.17/10.19 ~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|spl0_699),
% 77.17/10.19 inference(forward_demodulation,[status(thm)],[f23873,f34172])).
% 77.17/10.19 fof(f34174,plain,(
% 77.17/10.19 $false|spl0_699),
% 77.17/10.19 inference(trivial_equality_resolution,[status(esa)],[f34173])).
% 77.17/10.19 fof(f34175,plain,(
% 77.17/10.19 spl0_699),
% 77.17/10.19 inference(contradiction_clause,[status(thm)],[f34174])).
% 77.17/10.19 fof(f34533,plain,(
% 77.17/10.19 ![X0]: (c_Finite__Set_Ocard(c_Set_Oinsert(X0,v_G,t_a),t_a)=c_Suc(c_Finite__Set_Ocard(v_G,t_a))|c_in(X0,v_G,t_a)|~spl0_164)),
% 77.17/10.19 inference(resolution,[status(thm)],[f2745,f9134])).
% 77.17/10.19 fof(f34534,plain,(
% 77.17/10.19 spl0_114|~spl0_164),
% 77.17/10.19 inference(split_clause,[status(thm)],[f34533,f6324,f9133])).
% 77.17/10.19 fof(f34571,plain,(
% 77.17/10.19 $false),
% 77.17/10.19 inference(sat_refutation,[status(thm)],[f3812,f12174,f16548,f29175,f30758,f33787,f34115,f34175,f34534])).
% 77.17/10.19 % SZS output end CNFRefutation for theBenchmark.p
% 77.92/10.25 % Elapsed time: 9.884109 seconds
% 77.92/10.25 % CPU time: 77.582660 seconds
% 77.92/10.25 % Memory used: 619.945 MB
%------------------------------------------------------------------------------