TSTP Solution File: SWW382+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWW382+1 : TPTP v8.1.2. Released v5.2.0.
% 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 12:44:51 EDT 2023
% Result : Theorem 70.77s 9.70s
% Output : CNFRefutation 72.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWW382+1 : TPTP v8.1.2. Released v5.2.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 10:54:42 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.61/0.78 % Drodi V3.5.1
% 70.77/9.70 % Refutation found
% 70.77/9.70 % SZS status Theorem for theBenchmark: Theorem is valid
% 70.77/9.70 % SZS output start CNFRefutation for theBenchmark
% 70.77/9.70 fof(f2,axiom,(
% 70.77/9.70 (! [V_G_2,T_a] : c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))) )),
% 70.77/9.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 70.77/9.70 fof(f7,axiom,(
% 70.77/9.70 (! [V_G_2,V_ts_2,V_G_H_2,T_a] :( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_H_2,V_ts_2)=> ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,V_G_H_2)=> c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,V_ts_2) ) ) )),
% 70.77/9.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 70.77/9.70 fof(f40,axiom,(
% 70.77/9.70 (! [V_A_2,V_g_2,T_c,V_f_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),V_A_2)) = hAPP(c_Set_Oimage(T_c,T_a,hAPP(hAPP(c_COMBB(T_b,T_a,T_c),V_f_2),V_g_2)),V_A_2) )),
% 70.77/9.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 70.77/9.70 fof(f83,axiom,(
% 70.77/9.70 (! [V_c_2] :( c_Hoare__Mirabelle_Ostate__not__singleton=> ( c_Com_OWT__bodies=> ( hBOOL(hAPP(c_Com_OWT,V_c_2))=> c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,V_c_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ) ) ) )),
% 70.77/9.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 70.77/9.70 fof(f149,axiom,(
% 70.77/9.70 (! [V_b,V_pn] :( c_Com_OWT__bodies=> ( hAPP(c_Com_Obody,V_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),V_b)=> hBOOL(hAPP(c_Com_OWT,V_b)) ) ) )),
% 70.77/9.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 70.77/9.70 fof(f2051,axiom,(
% 70.77/9.70 (! [V_P_2,T_a] : hAPP(c_Set_OCollect(T_a),V_P_2) = V_P_2 )),
% 70.77/9.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 70.77/9.70 fof(f2102,axiom,(
% 70.77/9.70 (! [V_a_2,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(c_fequal,V_a_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) )),
% 70.77/9.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 70.77/9.70 fof(f5243,hypothesis,(
% 70.77/9.70 c_Hoare__Mirabelle_Ostate__not__singleton ),
% 70.77/9.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 70.77/9.70 fof(f5244,hypothesis,(
% 70.77/9.70 c_Com_OWT__bodies ),
% 70.77/9.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 70.77/9.70 fof(f5248,hypothesis,(
% 70.77/9.70 hAPP(c_Com_Obody,v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y) ),
% 70.77/9.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 70.77/9.70 fof(f5250,conjecture,(
% 70.77/9.70 c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Hoare__Mirabelle_OMGT),c_Com_Ocom_OBODY)),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,v_y)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ),
% 70.77/9.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 70.77/9.70 fof(f5251,negated_conjecture,(
% 70.77/9.70 ~(c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Hoare__Mirabelle_OMGT),c_Com_Ocom_OBODY)),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,v_y)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) )),
% 70.77/9.70 inference(negated_conjecture,[status(cth)],[f5250])).
% 70.77/9.70 fof(f5255,plain,(
% 70.77/9.70 ![X0,X1]: (c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X0),tc_HOL_Obool))))),
% 70.77/9.70 inference(cnf_transformation,[status(esa)],[f2])).
% 70.77/9.70 fof(f5265,plain,(
% 70.77/9.70 ![V_G_2,V_ts_2,V_G_H_2,T_a]: (~c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_H_2,V_ts_2)|(~c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,V_G_H_2)|c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,V_ts_2)))),
% 70.77/9.71 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 70.77/9.71 fof(f5266,plain,(
% 70.77/9.71 ![V_ts_2,V_G_H_2,T_a]: (~c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_H_2,V_ts_2)|(![V_G_2]: (~c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,V_G_H_2)|c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,V_ts_2))))),
% 70.77/9.71 inference(miniscoping,[status(esa)],[f5265])).
% 70.77/9.71 fof(f5267,plain,(
% 70.77/9.71 ![X0,X1,X2,X3]: (~c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,X2)|~c_Hoare__Mirabelle_Ohoare__derivs(X0,X3,X1)|c_Hoare__Mirabelle_Ohoare__derivs(X0,X3,X2))),
% 70.77/9.71 inference(cnf_transformation,[status(esa)],[f5266])).
% 70.77/9.71 fof(f5363,plain,(
% 70.77/9.71 ![X0,X1,X2,X3,X4,X5]: (hAPP(c_Set_Oimage(X0,X1,X2),hAPP(c_Set_Oimage(X3,X0,X4),X5))=hAPP(c_Set_Oimage(X3,X1,hAPP(hAPP(c_COMBB(X0,X1,X3),X2),X4)),X5))),
% 70.77/9.71 inference(cnf_transformation,[status(esa)],[f40])).
% 70.77/9.71 fof(f5497,plain,(
% 70.77/9.71 ![V_c_2]: (~c_Hoare__Mirabelle_Ostate__not__singleton|(~c_Com_OWT__bodies|(~hBOOL(hAPP(c_Com_OWT,V_c_2))|c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,V_c_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))))))),
% 70.77/9.71 inference(pre_NNF_transformation,[status(esa)],[f83])).
% 70.77/9.71 fof(f5498,plain,(
% 70.77/9.71 ~c_Hoare__Mirabelle_Ostate__not__singleton|(~c_Com_OWT__bodies|(![V_c_2]: (~hBOOL(hAPP(c_Com_OWT,V_c_2))|c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,V_c_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))))))),
% 70.77/9.71 inference(miniscoping,[status(esa)],[f5497])).
% 70.77/9.71 fof(f5499,plain,(
% 70.77/9.71 ![X0]: (~c_Hoare__Mirabelle_Ostate__not__singleton|~c_Com_OWT__bodies|~hBOOL(hAPP(c_Com_OWT,X0))|c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))))),
% 70.77/9.71 inference(cnf_transformation,[status(esa)],[f5498])).
% 70.77/9.71 fof(f5696,plain,(
% 70.77/9.71 ![V_b,V_pn]: (~c_Com_OWT__bodies|(~hAPP(c_Com_Obody,V_pn)=hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),V_b)|hBOOL(hAPP(c_Com_OWT,V_b))))),
% 70.77/9.71 inference(pre_NNF_transformation,[status(esa)],[f149])).
% 70.77/9.71 fof(f5697,plain,(
% 70.77/9.71 ~c_Com_OWT__bodies|(![V_b]: ((![V_pn]: ~hAPP(c_Com_Obody,V_pn)=hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),V_b))|hBOOL(hAPP(c_Com_OWT,V_b))))),
% 70.77/9.71 inference(miniscoping,[status(esa)],[f5696])).
% 70.77/9.71 fof(f5698,plain,(
% 70.77/9.71 ![X0,X1]: (~c_Com_OWT__bodies|~hAPP(c_Com_Obody,X0)=hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X1)|hBOOL(hAPP(c_Com_OWT,X1)))),
% 70.77/9.71 inference(cnf_transformation,[status(esa)],[f5697])).
% 70.77/9.71 fof(f11597,plain,(
% 70.77/9.71 ![X0,X1]: (hAPP(c_Set_OCollect(X0),X1)=X1)),
% 70.77/9.71 inference(cnf_transformation,[status(esa)],[f2051])).
% 70.77/9.71 fof(f11739,plain,(
% 70.77/9.71 ![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))))),
% 70.77/9.71 inference(cnf_transformation,[status(esa)],[f2102])).
% 70.77/9.71 fof(f19913,plain,(
% 70.77/9.71 c_Hoare__Mirabelle_Ostate__not__singleton),
% 70.77/9.71 inference(cnf_transformation,[status(esa)],[f5243])).
% 70.77/9.71 fof(f19914,plain,(
% 70.77/9.71 c_Com_OWT__bodies),
% 70.77/9.71 inference(cnf_transformation,[status(esa)],[f5244])).
% 70.77/9.71 fof(f19918,plain,(
% 70.77/9.71 hAPP(c_Com_Obody,v_pn)=hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y)),
% 70.77/9.71 inference(cnf_transformation,[status(esa)],[f5248])).
% 70.77/9.71 fof(f19920,plain,(
% 70.77/9.71 ~c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Hoare__Mirabelle_OMGT),c_Com_Ocom_OBODY)),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,v_y)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))),
% 70.77/9.71 inference(cnf_transformation,[status(esa)],[f5251])).
% 70.77/9.71 fof(f20158,plain,(
% 70.77/9.71 spl0_0 <=> c_Hoare__Mirabelle_Ostate__not__singleton),
% 70.77/9.71 introduced(split_symbol_definition)).
% 70.77/9.71 fof(f20160,plain,(
% 70.77/9.71 ~c_Hoare__Mirabelle_Ostate__not__singleton|spl0_0),
% 70.77/9.71 inference(component_clause,[status(thm)],[f20158])).
% 70.77/9.71 fof(f20161,plain,(
% 70.77/9.71 spl0_1 <=> c_Com_OWT__bodies),
% 70.77/9.71 introduced(split_symbol_definition)).
% 70.77/9.71 fof(f20163,plain,(
% 70.77/9.71 ~c_Com_OWT__bodies|spl0_1),
% 70.77/9.71 inference(component_clause,[status(thm)],[f20161])).
% 70.77/9.71 fof(f20164,plain,(
% 70.77/9.71 spl0_2 <=> ~hBOOL(hAPP(c_Com_OWT,X0))|c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))),
% 70.77/9.71 introduced(split_symbol_definition)).
% 70.77/9.71 fof(f20165,plain,(
% 70.77/9.71 ![X0]: (~hBOOL(hAPP(c_Com_OWT,X0))|c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))|~spl0_2)),
% 70.77/9.71 inference(component_clause,[status(thm)],[f20164])).
% 70.77/9.71 fof(f20167,plain,(
% 70.77/9.71 ~spl0_0|~spl0_1|spl0_2),
% 70.77/9.71 inference(split_clause,[status(thm)],[f5499,f20158,f20161,f20164])).
% 70.77/9.71 fof(f20168,plain,(
% 70.77/9.71 spl0_3 <=> ~hAPP(c_Com_Obody,X0)=hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X1)|hBOOL(hAPP(c_Com_OWT,X1))),
% 70.77/9.71 introduced(split_symbol_definition)).
% 70.77/9.71 fof(f20169,plain,(
% 70.77/9.71 ![X0,X1]: (~hAPP(c_Com_Obody,X0)=hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X1)|hBOOL(hAPP(c_Com_OWT,X1))|~spl0_3)),
% 70.77/9.71 inference(component_clause,[status(thm)],[f20168])).
% 70.77/9.71 fof(f20171,plain,(
% 70.77/9.71 ~spl0_1|spl0_3),
% 70.77/9.71 inference(split_clause,[status(thm)],[f5698,f20161,f20168])).
% 70.77/9.71 fof(f22106,plain,(
% 70.77/9.71 ~c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Hoare__Mirabelle_OMGT),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Com_Ocom,c_Com_Ocom_OBODY),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,v_y)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))),
% 70.77/9.71 inference(forward_demodulation,[status(thm)],[f5363,f19920])).
% 70.77/9.71 fof(f22107,plain,(
% 70.77/9.71 ~c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Hoare__Mirabelle_OMGT),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Com_Ocom,c_Com_Ocom_OBODY),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))),hAPP(c_Set_OCollect(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_fequal,hAPP(c_Hoare__Mirabelle_OMGT,v_y))))),
% 70.77/9.71 inference(forward_demodulation,[status(thm)],[f11739,f22106])).
% 70.77/9.71 fof(f22108,plain,(
% 70.77/9.71 ~c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Hoare__Mirabelle_OMGT),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Com_Ocom,c_Com_Ocom_OBODY),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))),hAPP(c_fequal,hAPP(c_Hoare__Mirabelle_OMGT,v_y)))),
% 70.77/9.71 inference(forward_demodulation,[status(thm)],[f11597,f22107])).
% 70.77/9.71 fof(f22162,plain,(
% 70.77/9.71 $false|spl0_0),
% 70.77/9.71 inference(forward_subsumption_resolution,[status(thm)],[f20160,f19913])).
% 70.77/9.71 fof(f22163,plain,(
% 70.77/9.71 spl0_0),
% 70.77/9.71 inference(contradiction_clause,[status(thm)],[f22162])).
% 70.77/9.71 fof(f22933,plain,(
% 70.77/9.71 $false|spl0_1),
% 70.77/9.71 inference(forward_subsumption_resolution,[status(thm)],[f20163,f19914])).
% 70.77/9.71 fof(f22934,plain,(
% 70.77/9.71 spl0_1),
% 70.77/9.71 inference(contradiction_clause,[status(thm)],[f22933])).
% 70.77/9.71 fof(f22994,plain,(
% 70.77/9.71 ![X0]: (~hBOOL(hAPP(c_Com_OWT,X0))|c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(c_Set_OCollect(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_fequal,hAPP(c_Hoare__Mirabelle_OMGT,X0))))|~spl0_2)),
% 72.59/9.87 inference(forward_demodulation,[status(thm)],[f11739,f20165])).
% 72.59/9.87 fof(f22995,plain,(
% 72.59/9.87 ![X0]: (~hBOOL(hAPP(c_Com_OWT,X0))|c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(c_fequal,hAPP(c_Hoare__Mirabelle_OMGT,X0)))|~spl0_2)),
% 72.59/9.87 inference(forward_demodulation,[status(thm)],[f11597,f22994])).
% 72.59/9.87 fof(f23032,plain,(
% 72.59/9.87 ![X0]: (~c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,X0,hAPP(c_fequal,hAPP(c_Hoare__Mirabelle_OMGT,v_y)))|~c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Hoare__Mirabelle_OMGT),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Com_Ocom,c_Com_Ocom_OBODY),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))),X0))),
% 72.59/9.87 inference(resolution,[status(thm)],[f5267,f22108])).
% 72.59/9.87 fof(f23035,plain,(
% 72.59/9.87 ![X0,X1]: (c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(c_fequal,hAPP(c_Hoare__Mirabelle_OMGT,X0)))|~hAPP(c_Com_Obody,X1)=hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X0)|~spl0_2|~spl0_3)),
% 72.59/9.87 inference(resolution,[status(thm)],[f22995,f20169])).
% 72.59/9.87 fof(f23038,plain,(
% 72.59/9.87 ~c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(c_fequal,hAPP(c_Hoare__Mirabelle_OMGT,v_y)))),
% 72.59/9.87 inference(resolution,[status(thm)],[f23032,f5255])).
% 72.59/9.87 fof(f23040,plain,(
% 72.59/9.87 ![X0]: (~hAPP(c_Com_Obody,X0)=hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y)|~spl0_2|~spl0_3)),
% 72.59/9.87 inference(resolution,[status(thm)],[f23038,f23035])).
% 72.59/9.87 fof(f23042,plain,(
% 72.59/9.87 $false|~spl0_2|~spl0_3),
% 72.59/9.87 inference(backward_subsumption_resolution,[status(thm)],[f19918,f23040])).
% 72.59/9.87 fof(f23043,plain,(
% 72.59/9.87 ~spl0_2|~spl0_3),
% 72.59/9.87 inference(contradiction_clause,[status(thm)],[f23042])).
% 72.59/9.87 fof(f23044,plain,(
% 72.59/9.87 $false),
% 72.59/9.87 inference(sat_refutation,[status(thm)],[f20167,f20171,f22163,f22934,f23043])).
% 72.59/9.87 % SZS output end CNFRefutation for theBenchmark.p
% 73.82/10.30 % Elapsed time: 9.936909 seconds
% 73.82/10.30 % CPU time: 72.963841 seconds
% 73.82/10.30 % Memory used: 1.167 GB
%------------------------------------------------------------------------------