TSTP Solution File: SWW306+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWW306+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 12:44:39 EDT 2023
% Result : Theorem 26.82s 4.28s
% Output : CNFRefutation 27.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW306+1 : TPTP v8.1.2. Released v5.2.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n022.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 10:53:57 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.61/0.82 % Drodi V3.5.1
% 26.82/4.28 % Refutation found
% 26.82/4.28 % SZS status Theorem for theBenchmark: Theorem is valid
% 26.82/4.28 % SZS output start CNFRefutation for theBenchmark
% 26.82/4.28 fof(f19,axiom,(
% 26.82/4.28 (! [V_x_2,V_A_2,V_y_2,T_b] :( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),V_A_2),V_x_2))<=> ( V_y_2 = V_x_2| hBOOL(hAPP(V_A_2,V_x_2)) ) ) )),
% 26.82/4.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 26.82/4.28 fof(f30,axiom,(
% 26.82/4.28 (! [V_a_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) )),
% 26.82/4.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 26.82/4.28 fof(f31,axiom,(
% 26.82/4.28 (! [V_a_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(c_fequal,V_a_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) )),
% 26.82/4.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 26.82/4.28 fof(f38,axiom,(
% 26.82/4.28 (! [V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),V_Pa_2) = V_Pa_2 )),
% 26.82/4.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 26.82/4.28 fof(f5210,axiom,(
% 26.82/4.28 (! [V_Q,V_P,T_b,T_a] : hAPP(hAPP(c_COMBK(T_a,T_b),V_P),V_Q) = V_P )),
% 26.82/4.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 26.82/4.28 fof(f5229,hypothesis,(
% 26.82/4.28 (! [B_Z,B_s] :( v_P(B_Z,B_s)=> 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,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),B_s)),v_c,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(B_Z)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ) )),
% 26.82/4.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 26.82/4.28 fof(f5230,conjecture,(
% 26.82/4.28 (! [B_Z,B_s] :( v_P(B_Z,B_s)=> (? [B_P_H,B_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,B_P_H,v_c,B_Q_H)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))& (! [B_s_H] :( (! [B_Z_H] :( hBOOL(hAPP(hAPP(B_P_H,B_Z_H),B_s))=> hBOOL(hAPP(hAPP(B_Q_H,B_Z_H),B_s_H)) ))=> hBOOL(hAPP(v_Q(B_Z),B_s_H)) ) )) )) )),
% 26.82/4.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 26.82/4.28 fof(f5231,negated_conjecture,(
% 26.82/4.28 ~((! [B_Z,B_s] :( v_P(B_Z,B_s)=> (? [B_P_H,B_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,B_P_H,v_c,B_Q_H)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))& (! [B_s_H] :( (! [B_Z_H] :( hBOOL(hAPP(hAPP(B_P_H,B_Z_H),B_s))=> hBOOL(hAPP(hAPP(B_Q_H,B_Z_H),B_s_H)) ))=> hBOOL(hAPP(v_Q(B_Z),B_s_H)) ) )) )) ))),
% 26.82/4.28 inference(negated_conjecture,[status(cth)],[f5230])).
% 26.82/4.28 fof(f5282,plain,(
% 26.82/4.28 ![V_x_2,V_A_2,V_y_2,T_b]: ((~hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),V_A_2),V_x_2))|(V_y_2=V_x_2|hBOOL(hAPP(V_A_2,V_x_2))))&(hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),V_A_2),V_x_2))|(~V_y_2=V_x_2&~hBOOL(hAPP(V_A_2,V_x_2)))))),
% 26.82/4.28 inference(NNF_transformation,[status(esa)],[f19])).
% 26.82/4.28 fof(f5283,plain,(
% 26.82/4.28 (![V_x_2,V_A_2,V_y_2]: ((![T_b]: ~hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),V_A_2),V_x_2)))|(V_y_2=V_x_2|hBOOL(hAPP(V_A_2,V_x_2)))))&(![V_x_2,V_A_2,V_y_2]: ((![T_b]: hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),V_A_2),V_x_2)))|(~V_y_2=V_x_2&~hBOOL(hAPP(V_A_2,V_x_2)))))),
% 26.82/4.28 inference(miniscoping,[status(esa)],[f5282])).
% 26.82/4.28 fof(f5285,plain,(
% 26.82/4.28 ![X0,X1,X2,X3]: (hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X0),X1),X2),X3))|~X1=X3)),
% 26.82/4.28 inference(cnf_transformation,[status(esa)],[f5283])).
% 26.82/4.28 fof(f5310,plain,(
% 26.82/4.28 ![X0,X1]: (hAPP(c_Set_OCollect(X0),hAPP(hAPP(c_COMBC(X0,X0,tc_HOL_Obool),c_fequal),X1))=hAPP(hAPP(c_Set_Oinsert(X0),X1),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))))),
% 26.82/4.28 inference(cnf_transformation,[status(esa)],[f30])).
% 26.82/4.28 fof(f5311,plain,(
% 26.82/4.28 ![X0,X1]: (hAPP(c_Set_OCollect(X0),hAPP(c_fequal,X1))=hAPP(hAPP(c_Set_Oinsert(X0),X1),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))))),
% 26.82/4.28 inference(cnf_transformation,[status(esa)],[f31])).
% 26.82/4.28 fof(f5325,plain,(
% 26.82/4.28 ![X0,X1]: (hAPP(c_Set_OCollect(X0),X1)=X1)),
% 26.82/4.29 inference(cnf_transformation,[status(esa)],[f38])).
% 26.82/4.29 fof(f19981,plain,(
% 26.82/4.29 ![X0,X1,X2,X3]: (hAPP(hAPP(c_COMBK(X0,X1),X2),X3)=X2)),
% 26.82/4.29 inference(cnf_transformation,[status(esa)],[f5210])).
% 26.82/4.29 fof(f20008,plain,(
% 26.82/4.29 ![B_Z,B_s]: (~v_P(B_Z,B_s)|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,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),B_s)),v_c,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(B_Z)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))))),
% 26.82/4.29 inference(pre_NNF_transformation,[status(esa)],[f5229])).
% 26.82/4.29 fof(f20009,plain,(
% 26.82/4.29 ![X0,X1]: (~v_P(X0,X1)|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,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),X1)),v_c,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(X0)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))))),
% 26.82/4.29 inference(cnf_transformation,[status(esa)],[f20008])).
% 26.82/4.29 fof(f20010,plain,(
% 26.82/4.29 (?[B_Z,B_s]: (v_P(B_Z,B_s)&(![B_P_H,B_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,B_P_H,v_c,B_Q_H)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))|(?[B_s_H]: ((![B_Z_H]: (~hBOOL(hAPP(hAPP(B_P_H,B_Z_H),B_s))|hBOOL(hAPP(hAPP(B_Q_H,B_Z_H),B_s_H))))&~hBOOL(hAPP(v_Q(B_Z),B_s_H))))))))),
% 26.82/4.29 inference(pre_NNF_transformation,[status(esa)],[f5231])).
% 26.82/4.29 fof(f20011,plain,(
% 26.82/4.29 (v_P(sk0_578,sk0_579)&(![B_P_H,B_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,B_P_H,v_c,B_Q_H)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))|((![B_Z_H]: (~hBOOL(hAPP(hAPP(B_P_H,B_Z_H),sk0_579))|hBOOL(hAPP(hAPP(B_Q_H,B_Z_H),sk0_580(B_Q_H,B_P_H)))))&~hBOOL(hAPP(v_Q(sk0_578),sk0_580(B_Q_H,B_P_H)))))))),
% 26.82/4.29 inference(skolemization,[status(esa)],[f20010])).
% 26.82/4.29 fof(f20012,plain,(
% 26.82/4.29 v_P(sk0_578,sk0_579)),
% 26.82/4.29 inference(cnf_transformation,[status(esa)],[f20011])).
% 26.82/4.29 fof(f20013,plain,(
% 26.82/4.29 ![X0,X1,X2]: (~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,X0,v_c,X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))|~hBOOL(hAPP(hAPP(X0,X2),sk0_579))|hBOOL(hAPP(hAPP(X1,X2),sk0_580(X1,X0))))),
% 26.82/4.29 inference(cnf_transformation,[status(esa)],[f20011])).
% 26.82/4.29 fof(f20014,plain,(
% 26.82/4.29 ![X0,X1]: (~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,X0,v_c,X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))|~hBOOL(hAPP(v_Q(sk0_578),sk0_580(X1,X0))))),
% 26.82/4.29 inference(cnf_transformation,[status(esa)],[f20011])).
% 26.82/4.29 fof(f20294,plain,(
% 26.82/4.29 ![X0,X1,X2]: (hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X0),X1),X2),X1)))),
% 26.82/4.29 inference(destructive_equality_resolution,[status(esa)],[f5285])).
% 26.82/4.29 fof(f22946,plain,(
% 26.82/4.29 ![X0,X1]: (hAPP(hAPP(c_COMBC(X0,X0,tc_HOL_Obool),c_fequal),X1)=hAPP(hAPP(c_Set_Oinsert(X0),X1),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))))),
% 26.82/4.29 inference(forward_demodulation,[status(thm)],[f5325,f5310])).
% 26.82/4.29 fof(f22947,plain,(
% 26.82/4.29 ![X0,X1,X2]: (~c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_COMBC(tc_Hoare__Mirabelle_Otriple(t_a),tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool),c_fequal),c_Hoare__Mirabelle_Otriple_Otriple(t_a,X0,v_c,X1)))|~hBOOL(hAPP(hAPP(X0,X2),sk0_579))|hBOOL(hAPP(hAPP(X1,X2),sk0_580(X1,X0))))),
% 26.82/4.29 inference(backward_demodulation,[status(thm)],[f22946,f20013])).
% 26.82/4.29 fof(f22948,plain,(
% 26.82/4.29 ![X0,X1]: (~c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_COMBC(tc_Hoare__Mirabelle_Otriple(t_a),tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool),c_fequal),c_Hoare__Mirabelle_Otriple_Otriple(t_a,X0,v_c,X1)))|~hBOOL(hAPP(v_Q(sk0_578),sk0_580(X1,X0))))),
% 26.82/4.29 inference(backward_demodulation,[status(thm)],[f22946,f20014])).
% 26.82/4.29 fof(f23029,plain,(
% 26.82/4.29 ![X0,X1]: (hBOOL(hAPP(hAPP(hAPP(c_COMBC(X0,X0,tc_HOL_Obool),c_fequal),X1),X1)))),
% 26.82/4.29 inference(paramodulation,[status(thm)],[f22946,f20294])).
% 26.82/4.29 fof(f23471,plain,(
% 26.82/4.29 ![X0,X1]: (~v_P(X0,X1)|c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_COMBC(tc_Hoare__Mirabelle_Otriple(t_a),tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool),c_fequal),c_Hoare__Mirabelle_Otriple_Otriple(t_a,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),X1)),v_c,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(X0))))))),
% 26.82/4.29 inference(forward_demodulation,[status(thm)],[f22946,f20009])).
% 26.82/4.29 fof(f23472,plain,(
% 26.82/4.29 c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_COMBC(tc_Hoare__Mirabelle_Otriple(t_a),tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool),c_fequal),c_Hoare__Mirabelle_Otriple_Otriple(t_a,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),sk0_579)),v_c,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(sk0_578)))))),
% 26.82/4.29 inference(resolution,[status(thm)],[f23471,f20012])).
% 26.82/4.29 fof(f23473,plain,(
% 26.82/4.29 ![X0]: (~hBOOL(hAPP(hAPP(hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),sk0_579)),X0),sk0_579))|hBOOL(hAPP(hAPP(hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(sk0_578)),X0),sk0_580(hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(sk0_578)),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),sk0_579))))))),
% 26.82/4.29 inference(resolution,[status(thm)],[f23472,f22947])).
% 26.82/4.29 fof(f24165,plain,(
% 26.82/4.29 spl0_23 <=> ~hBOOL(hAPP(hAPP(hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),sk0_579)),X0),sk0_579))),
% 26.82/4.29 introduced(split_symbol_definition)).
% 26.82/4.29 fof(f24166,plain,(
% 26.82/4.29 ![X0]: (~hBOOL(hAPP(hAPP(hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),sk0_579)),X0),sk0_579))|~spl0_23)),
% 26.82/4.29 inference(component_clause,[status(thm)],[f24165])).
% 26.82/4.29 fof(f24168,plain,(
% 26.82/4.29 spl0_24 <=> hBOOL(hAPP(v_Q(sk0_578),sk0_580(hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(sk0_578)),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),sk0_579)))))),
% 26.82/4.29 introduced(split_symbol_definition)).
% 26.82/4.29 fof(f24169,plain,(
% 26.82/4.29 hBOOL(hAPP(v_Q(sk0_578),sk0_580(hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(sk0_578)),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),sk0_579)))))|~spl0_24),
% 26.82/4.29 inference(component_clause,[status(thm)],[f24168])).
% 26.82/4.29 fof(f24171,plain,(
% 26.82/4.29 ![X0]: (~hBOOL(hAPP(hAPP(hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),sk0_579)),X0),sk0_579))|hBOOL(hAPP(v_Q(sk0_578),sk0_580(hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(sk0_578)),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),sk0_579))))))),
% 26.82/4.29 inference(backward_demodulation,[status(thm)],[f19981,f23473])).
% 26.82/4.29 fof(f24172,plain,(
% 26.82/4.29 spl0_23|spl0_24),
% 26.82/4.29 inference(split_clause,[status(thm)],[f24171,f24165,f24168])).
% 26.82/4.29 fof(f24177,plain,(
% 26.82/4.29 ~hBOOL(hAPP(hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),sk0_579),sk0_579))|~spl0_23),
% 26.82/4.29 inference(forward_demodulation,[status(thm)],[f19981,f24166])).
% 26.82/4.29 fof(f24178,plain,(
% 26.82/4.29 $false|~spl0_23),
% 26.82/4.29 inference(forward_subsumption_resolution,[status(thm)],[f24177,f23029])).
% 26.82/4.29 fof(f24179,plain,(
% 26.82/4.29 ~spl0_23),
% 26.82/4.29 inference(contradiction_clause,[status(thm)],[f24178])).
% 26.82/4.29 fof(f24196,plain,(
% 26.82/4.29 ![X0,X1]: (hAPP(c_fequal,X0)=hAPP(hAPP(c_Set_Oinsert(X1),X0),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))),
% 27.91/4.38 inference(forward_demodulation,[status(thm)],[f5325,f5311])).
% 27.91/4.38 fof(f24197,plain,(
% 27.91/4.38 ![X0,X1]: (hAPP(c_fequal,X0)=hAPP(hAPP(c_COMBC(X1,X1,tc_HOL_Obool),c_fequal),X0))),
% 27.91/4.38 inference(forward_demodulation,[status(thm)],[f22946,f24196])).
% 27.91/4.38 fof(f24198,plain,(
% 27.91/4.38 c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_COMBC(tc_Hoare__Mirabelle_Otriple(t_a),tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool),c_fequal),c_Hoare__Mirabelle_Otriple_Otriple(t_a,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_fequal,sk0_579)),v_c,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(sk0_578)))))),
% 27.91/4.38 inference(backward_demodulation,[status(thm)],[f24197,f23472])).
% 27.91/4.38 fof(f24199,plain,(
% 27.91/4.38 c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(t_a,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_fequal,sk0_579)),v_c,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(sk0_578)))))),
% 27.91/4.38 inference(forward_demodulation,[status(thm)],[f24197,f24198])).
% 27.91/4.38 fof(f24203,plain,(
% 27.91/4.38 ![X0,X1]: (~c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(t_a,X0,v_c,X1)))|~hBOOL(hAPP(v_Q(sk0_578),sk0_580(X1,X0))))),
% 27.91/4.38 inference(backward_demodulation,[status(thm)],[f24197,f22948])).
% 27.91/4.38 fof(f24330,plain,(
% 27.91/4.38 ~hBOOL(hAPP(v_Q(sk0_578),sk0_580(hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(sk0_578)),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_fequal,sk0_579)))))),
% 27.91/4.38 inference(resolution,[status(thm)],[f24199,f24203])).
% 27.91/4.38 fof(f24344,plain,(
% 27.91/4.38 hBOOL(hAPP(v_Q(sk0_578),sk0_580(hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(sk0_578)),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_fequal,sk0_579)))))|~spl0_24),
% 27.91/4.38 inference(forward_demodulation,[status(thm)],[f24197,f24169])).
% 27.91/4.38 fof(f24345,plain,(
% 27.91/4.38 $false|~spl0_24),
% 27.91/4.38 inference(forward_subsumption_resolution,[status(thm)],[f24344,f24330])).
% 27.91/4.38 fof(f24346,plain,(
% 27.91/4.38 ~spl0_24),
% 27.91/4.38 inference(contradiction_clause,[status(thm)],[f24345])).
% 27.91/4.38 fof(f24347,plain,(
% 27.91/4.38 $false),
% 27.91/4.38 inference(sat_refutation,[status(thm)],[f24172,f24179,f24346])).
% 27.91/4.38 % SZS output end CNFRefutation for theBenchmark.p
% 27.91/4.41 % Elapsed time: 4.057793 seconds
% 27.91/4.41 % CPU time: 27.691403 seconds
% 27.91/4.41 % Memory used: 713.212 MB
%------------------------------------------------------------------------------