TSTP Solution File: SWW301+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWW301+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:50:00 EDT 2024
% Result : Theorem 11.67s 2.26s
% Output : CNFRefutation 12.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW301+1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n009.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Apr 29 22:57:26 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.61/0.79 % Drodi V3.6.0
% 11.67/2.26 % Refutation found
% 11.67/2.26 % SZS status Theorem for theBenchmark: Theorem is valid
% 11.67/2.26 % SZS output start CNFRefutation for theBenchmark
% 11.67/2.26 fof(f2,axiom,(
% 11.67/2.26 (! [V_Ga_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))) )),
% 11.67/2.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.67/2.26 fof(f6,axiom,(
% 11.67/2.26 (! [V_ts_2,V_t_2,V_Ga_2,T_b] :( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))=> ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2)=> c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),V_ts_2)) ) ) )),
% 11.67/2.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.67/2.26 fof(f25,axiom,(
% 11.67/2.26 (! [V_Qa_2,V_Pa_2,V_Q_Ha_2,V_ca_2,V_P_H_2,V_Ga_2,T_b] :( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_H_2,V_ca_2,V_Q_Ha_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))=> ( (! [B_Z,B_s] :( hBOOL(hAPP(hAPP(V_Pa_2,B_Z),B_s))=> (! [B_s_H] :( (! [B_Z_H] :( hBOOL(hAPP(hAPP(V_P_H_2,B_Z_H),B_s))=> hBOOL(hAPP(hAPP(V_Q_Ha_2,B_Z_H),B_s_H)) ))=> hBOOL(hAPP(hAPP(V_Qa_2,B_Z),B_s_H)) ) )))=> c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_Pa_2,V_ca_2,V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) )),
% 11.67/2.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.67/2.26 fof(f5222,hypothesis,(
% 11.67/2.26 c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,v_c,v_Q_H)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ),
% 11.67/2.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.67/2.26 fof(f5223,hypothesis,(
% 11.67/2.26 (! [B_Z,B_s] :( hBOOL(hAPP(hAPP(v_Q_H,B_Z),B_s))=> hBOOL(hAPP(hAPP(v_Q,B_Z),B_s)) ) )),
% 11.67/2.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.67/2.26 fof(f5224,conjecture,(
% 11.67/2.26 c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,v_c,v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ),
% 11.67/2.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.67/2.26 fof(f5225,negated_conjecture,(
% 11.67/2.26 ~(c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,v_c,v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) )),
% 11.67/2.26 inference(negated_conjecture,[status(cth)],[f5224])).
% 11.67/2.26 fof(f5229,plain,(
% 11.67/2.26 ![X0,X1]: (c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X0),tc_HOL_Obool))))),
% 11.67/2.26 inference(cnf_transformation,[status(esa)],[f2])).
% 11.67/2.26 fof(f5240,plain,(
% 11.67/2.26 ![V_ts_2,V_t_2,V_Ga_2,T_b]: (~c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))|(~c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2)|c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),V_ts_2))))),
% 11.67/2.26 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 11.67/2.26 fof(f5241,plain,(
% 11.67/2.26 ![V_t_2,V_Ga_2,T_b]: (~c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))|(![V_ts_2]: (~c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2)|c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),V_ts_2)))))),
% 11.67/2.26 inference(miniscoping,[status(esa)],[f5240])).
% 11.67/2.26 fof(f5242,plain,(
% 11.67/2.26 ![X0,X1,X2,X3]: (~c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X0)),X2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X0),tc_HOL_Obool))))|~c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,X3)|c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X0)),X2),X3)))),
% 11.67/2.28 inference(cnf_transformation,[status(esa)],[f5241])).
% 11.67/2.28 fof(f5286,plain,(
% 11.67/2.28 ![V_Qa_2,V_Pa_2,V_Q_Ha_2,V_ca_2,V_P_H_2,V_Ga_2,T_b]: (~c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_H_2,V_ca_2,V_Q_Ha_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))|((?[B_Z,B_s]: (hBOOL(hAPP(hAPP(V_Pa_2,B_Z),B_s))&(?[B_s_H]: ((![B_Z_H]: (~hBOOL(hAPP(hAPP(V_P_H_2,B_Z_H),B_s))|hBOOL(hAPP(hAPP(V_Q_Ha_2,B_Z_H),B_s_H))))&~hBOOL(hAPP(hAPP(V_Qa_2,B_Z),B_s_H))))))|c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_Pa_2,V_ca_2,V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))))),
% 11.67/2.28 inference(pre_NNF_transformation,[status(esa)],[f25])).
% 11.67/2.28 fof(f5287,plain,(
% 11.67/2.28 ![V_Q_Ha_2,V_ca_2,V_P_H_2,V_Ga_2,T_b]: (~c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_H_2,V_ca_2,V_Q_Ha_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))|(![V_Qa_2,V_Pa_2]: ((?[B_Z,B_s]: (hBOOL(hAPP(hAPP(V_Pa_2,B_Z),B_s))&(?[B_s_H]: ((![B_Z_H]: (~hBOOL(hAPP(hAPP(V_P_H_2,B_Z_H),B_s))|hBOOL(hAPP(hAPP(V_Q_Ha_2,B_Z_H),B_s_H))))&~hBOOL(hAPP(hAPP(V_Qa_2,B_Z),B_s_H))))))|c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_Pa_2,V_ca_2,V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))))))),
% 11.67/2.28 inference(miniscoping,[status(esa)],[f5286])).
% 11.67/2.28 fof(f5288,plain,(
% 11.67/2.28 ![V_Q_Ha_2,V_ca_2,V_P_H_2,V_Ga_2,T_b]: (~c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_H_2,V_ca_2,V_Q_Ha_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))|(![V_Qa_2,V_Pa_2]: ((hBOOL(hAPP(hAPP(V_Pa_2,sk0_3(V_Pa_2,V_Qa_2,T_b,V_Ga_2,V_P_H_2,V_ca_2,V_Q_Ha_2)),sk0_4(V_Pa_2,V_Qa_2,T_b,V_Ga_2,V_P_H_2,V_ca_2,V_Q_Ha_2)))&((![B_Z_H]: (~hBOOL(hAPP(hAPP(V_P_H_2,B_Z_H),sk0_4(V_Pa_2,V_Qa_2,T_b,V_Ga_2,V_P_H_2,V_ca_2,V_Q_Ha_2)))|hBOOL(hAPP(hAPP(V_Q_Ha_2,B_Z_H),sk0_5(V_Pa_2,V_Qa_2,T_b,V_Ga_2,V_P_H_2,V_ca_2,V_Q_Ha_2)))))&~hBOOL(hAPP(hAPP(V_Qa_2,sk0_3(V_Pa_2,V_Qa_2,T_b,V_Ga_2,V_P_H_2,V_ca_2,V_Q_Ha_2)),sk0_5(V_Pa_2,V_Qa_2,T_b,V_Ga_2,V_P_H_2,V_ca_2,V_Q_Ha_2)))))|c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_Pa_2,V_ca_2,V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))))))),
% 11.67/2.28 inference(skolemization,[status(esa)],[f5287])).
% 11.67/2.28 fof(f5289,plain,(
% 11.67/2.28 ![X0,X1,X2,X3,X4,X5,X6]: (~c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X0)),c_Hoare__Mirabelle_Otriple_Otriple(X0,X2,X3,X4)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X0),tc_HOL_Obool))))|hBOOL(hAPP(hAPP(X5,sk0_3(X5,X6,X0,X1,X2,X3,X4)),sk0_4(X5,X6,X0,X1,X2,X3,X4)))|c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X0)),c_Hoare__Mirabelle_Otriple_Otriple(X0,X5,X3,X6)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X0),tc_HOL_Obool)))))),
% 11.67/2.28 inference(cnf_transformation,[status(esa)],[f5288])).
% 11.67/2.28 fof(f5290,plain,(
% 11.67/2.28 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X0)),c_Hoare__Mirabelle_Otriple_Otriple(X0,X2,X3,X4)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X0),tc_HOL_Obool))))|~hBOOL(hAPP(hAPP(X2,X5),sk0_4(X6,X7,X0,X1,X2,X3,X4)))|hBOOL(hAPP(hAPP(X4,X5),sk0_5(X6,X7,X0,X1,X2,X3,X4)))|c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X0)),c_Hoare__Mirabelle_Otriple_Otriple(X0,X6,X3,X7)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X0),tc_HOL_Obool)))))),
% 11.67/2.28 inference(cnf_transformation,[status(esa)],[f5288])).
% 11.67/2.28 fof(f5291,plain,(
% 11.67/2.28 ![X0,X1,X2,X3,X4,X5,X6]: (~c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X0)),c_Hoare__Mirabelle_Otriple_Otriple(X0,X2,X3,X4)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X0),tc_HOL_Obool))))|~hBOOL(hAPP(hAPP(X5,sk0_3(X6,X5,X0,X1,X2,X3,X4)),sk0_5(X6,X5,X0,X1,X2,X3,X4)))|c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X0)),c_Hoare__Mirabelle_Otriple_Otriple(X0,X6,X3,X5)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X0),tc_HOL_Obool)))))),
% 11.67/2.28 inference(cnf_transformation,[status(esa)],[f5288])).
% 11.67/2.28 fof(f20037,plain,(
% 11.67/2.28 c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,v_c,v_Q_H)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))),
% 11.67/2.28 inference(cnf_transformation,[status(esa)],[f5222])).
% 11.67/2.28 fof(f20038,plain,(
% 11.67/2.28 ![B_Z,B_s]: (~hBOOL(hAPP(hAPP(v_Q_H,B_Z),B_s))|hBOOL(hAPP(hAPP(v_Q,B_Z),B_s)))),
% 11.67/2.28 inference(pre_NNF_transformation,[status(esa)],[f5223])).
% 11.67/2.28 fof(f20039,plain,(
% 11.67/2.28 ![X0,X1]: (~hBOOL(hAPP(hAPP(v_Q_H,X0),X1))|hBOOL(hAPP(hAPP(v_Q,X0),X1)))),
% 11.67/2.28 inference(cnf_transformation,[status(esa)],[f20038])).
% 11.67/2.28 fof(f20040,plain,(
% 11.67/2.28 ~c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,v_c,v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))),
% 11.67/2.28 inference(cnf_transformation,[status(esa)],[f5225])).
% 11.67/2.28 fof(f22020,plain,(
% 11.67/2.28 spl0_8 <=> c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
% 11.67/2.28 introduced(split_symbol_definition)).
% 11.67/2.28 fof(f22022,plain,(
% 11.67/2.28 ~c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))|spl0_8),
% 11.67/2.28 inference(component_clause,[status(thm)],[f22020])).
% 11.67/2.28 fof(f22096,plain,(
% 11.67/2.28 $false|spl0_8),
% 11.67/2.28 inference(forward_subsumption_resolution,[status(thm)],[f22022,f5229])).
% 11.67/2.28 fof(f22097,plain,(
% 11.67/2.28 spl0_8),
% 11.67/2.28 inference(contradiction_clause,[status(thm)],[f22096])).
% 11.67/2.28 fof(f23630,plain,(
% 11.67/2.28 ![X0]: (~c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,X0)|c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,v_c,v_Q_H)),X0)))),
% 11.67/2.28 inference(resolution,[status(thm)],[f20037,f5242])).
% 11.67/2.28 fof(f23648,plain,(
% 11.67/2.28 spl0_11 <=> c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,v_c,v_Q_H)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))),
% 11.67/2.28 introduced(split_symbol_definition)).
% 11.67/2.28 fof(f23650,plain,(
% 11.67/2.28 ~c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,v_c,v_Q_H)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))|spl0_11),
% 11.67/2.28 inference(component_clause,[status(thm)],[f23648])).
% 11.67/2.28 fof(f23682,plain,(
% 11.67/2.28 spl0_15 <=> ~hBOOL(hAPP(hAPP(v_P,X0),sk0_4(X1,X2,t_a,v_G,v_P,v_c,v_Q_H)))|hBOOL(hAPP(hAPP(v_Q_H,X0),sk0_5(X1,X2,t_a,v_G,v_P,v_c,v_Q_H)))|c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,X1,v_c,X2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))),
% 11.67/2.28 introduced(split_symbol_definition)).
% 11.67/2.28 fof(f23683,plain,(
% 11.67/2.28 ![X0,X1,X2]: (~hBOOL(hAPP(hAPP(v_P,X0),sk0_4(X1,X2,t_a,v_G,v_P,v_c,v_Q_H)))|hBOOL(hAPP(hAPP(v_Q_H,X0),sk0_5(X1,X2,t_a,v_G,v_P,v_c,v_Q_H)))|c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,X1,v_c,X2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))|~spl0_15)),
% 11.67/2.28 inference(component_clause,[status(thm)],[f23682])).
% 11.67/2.28 fof(f23685,plain,(
% 11.67/2.28 ![X0,X1,X2]: (~c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))|~hBOOL(hAPP(hAPP(v_P,X0),sk0_4(X1,X2,t_a,v_G,v_P,v_c,v_Q_H)))|hBOOL(hAPP(hAPP(v_Q_H,X0),sk0_5(X1,X2,t_a,v_G,v_P,v_c,v_Q_H)))|c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,X1,v_c,X2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))))),
% 11.67/2.28 inference(resolution,[status(thm)],[f23630,f5290])).
% 11.67/2.28 fof(f23686,plain,(
% 11.67/2.28 ~spl0_8|spl0_15),
% 11.67/2.28 inference(split_clause,[status(thm)],[f23685,f22020,f23682])).
% 11.67/2.28 fof(f23821,plain,(
% 11.67/2.28 ![X0]: (~hBOOL(hAPP(hAPP(v_P,X0),sk0_4(v_P,v_Q,t_a,v_G,v_P,v_c,v_Q_H)))|hBOOL(hAPP(hAPP(v_Q_H,X0),sk0_5(v_P,v_Q,t_a,v_G,v_P,v_c,v_Q_H)))|~spl0_15)),
% 11.67/2.28 inference(resolution,[status(thm)],[f23683,f20040])).
% 11.67/2.28 fof(f24003,plain,(
% 11.67/2.28 spl0_37 <=> hBOOL(hAPP(hAPP(v_Q_H,sk0_3(v_P,v_Q,t_a,v_G,v_P,v_c,v_Q_H)),sk0_5(v_P,v_Q,t_a,v_G,v_P,v_c,v_Q_H)))),
% 11.67/2.28 introduced(split_symbol_definition)).
% 11.67/2.28 fof(f24004,plain,(
% 11.67/2.28 hBOOL(hAPP(hAPP(v_Q_H,sk0_3(v_P,v_Q,t_a,v_G,v_P,v_c,v_Q_H)),sk0_5(v_P,v_Q,t_a,v_G,v_P,v_c,v_Q_H)))|~spl0_37),
% 11.67/2.28 inference(component_clause,[status(thm)],[f24003])).
% 11.67/2.28 fof(f24006,plain,(
% 11.67/2.28 spl0_38 <=> c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,v_c,v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))),
% 11.67/2.28 introduced(split_symbol_definition)).
% 11.67/2.28 fof(f24007,plain,(
% 11.67/2.28 c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,v_c,v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))|~spl0_38),
% 11.67/2.28 inference(component_clause,[status(thm)],[f24006])).
% 11.67/2.28 fof(f24009,plain,(
% 11.67/2.28 hBOOL(hAPP(hAPP(v_Q_H,sk0_3(v_P,v_Q,t_a,v_G,v_P,v_c,v_Q_H)),sk0_5(v_P,v_Q,t_a,v_G,v_P,v_c,v_Q_H)))|~c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,v_c,v_Q_H)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))|c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,v_c,v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))|~spl0_15),
% 11.67/2.28 inference(resolution,[status(thm)],[f23821,f5289])).
% 11.67/2.28 fof(f24010,plain,(
% 11.67/2.28 spl0_37|~spl0_11|spl0_38|~spl0_15),
% 11.67/2.28 inference(split_clause,[status(thm)],[f24009,f24003,f23648,f24006,f23682])).
% 11.67/2.28 fof(f24011,plain,(
% 11.67/2.28 $false|~spl0_38),
% 11.67/2.28 inference(forward_subsumption_resolution,[status(thm)],[f24007,f20040])).
% 11.67/2.28 fof(f24012,plain,(
% 11.67/2.28 ~spl0_38),
% 11.67/2.28 inference(contradiction_clause,[status(thm)],[f24011])).
% 11.67/2.28 fof(f24850,plain,(
% 11.67/2.28 hBOOL(hAPP(hAPP(v_Q,sk0_3(v_P,v_Q,t_a,v_G,v_P,v_c,v_Q_H)),sk0_5(v_P,v_Q,t_a,v_G,v_P,v_c,v_Q_H)))|~spl0_37),
% 11.67/2.28 inference(resolution,[status(thm)],[f24004,f20039])).
% 11.67/2.28 fof(f24851,plain,(
% 11.67/2.28 ~c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,v_c,v_Q_H)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))|c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,v_c,v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))|~spl0_37),
% 11.67/2.28 inference(resolution,[status(thm)],[f24850,f5291])).
% 11.67/2.28 fof(f24852,plain,(
% 11.67/2.28 ~spl0_11|spl0_38|~spl0_37),
% 11.67/2.28 inference(split_clause,[status(thm)],[f24851,f23648,f24006,f24003])).
% 12.25/2.33 fof(f24853,plain,(
% 12.25/2.33 $false|spl0_11),
% 12.25/2.33 inference(forward_subsumption_resolution,[status(thm)],[f23650,f20037])).
% 12.25/2.33 fof(f24854,plain,(
% 12.25/2.33 spl0_11),
% 12.25/2.33 inference(contradiction_clause,[status(thm)],[f24853])).
% 12.25/2.33 fof(f24855,plain,(
% 12.25/2.33 $false),
% 12.25/2.33 inference(sat_refutation,[status(thm)],[f22097,f23686,f24010,f24012,f24852,f24854])).
% 12.25/2.33 % SZS output end CNFRefutation for theBenchmark.p
% 12.25/2.36 % Elapsed time: 2.008919 seconds
% 12.25/2.36 % CPU time: 12.338600 seconds
% 12.25/2.36 % Total memory used: 733.721 MB
% 12.25/2.36 % Net memory used: 730.082 MB
%------------------------------------------------------------------------------