TSTP Solution File: SWW387+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWW387+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.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 20:50:10 EDT 2024
% Result : Theorem 87.39s 11.88s
% Output : CNFRefutation 89.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWW387+1 : TPTP v8.1.2. Released v5.2.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Apr 29 23:01:34 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.72/0.88 % Drodi V3.6.0
% 87.39/11.88 % Refutation found
% 87.39/11.88 % SZS status Theorem for theBenchmark: Theorem is valid
% 87.39/11.88 % SZS output start CNFRefutation for theBenchmark
% 87.39/11.88 fof(f4,axiom,(
% 87.39/11.88 (! [V_ca_2] :( c_Hoare__Mirabelle_Ostate__not__singleton=> ( c_Com_OWT__bodies=> ( hBOOL(hAPP(c_Com_OWT,V_ca_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_ca_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ) ) ) )),
% 87.39/11.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 87.39/11.88 fof(f9,axiom,(
% 87.39/11.88 (! [V_a_2] :( hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,V_a_2)))<=> (? [B_y] : hAPP(c_Com_Obody,V_a_2) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),B_y) )) )),
% 87.39/11.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 87.39/11.88 fof(f36,axiom,(
% 87.39/11.88 (! [V_x_2,T_a] : c_Option_Oset(T_a,hAPP(c_Option_Ooption_OSome(T_a),V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) )),
% 87.39/11.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 87.39/11.88 fof(f853,axiom,(
% 87.39/11.88 (! [V_P_2,T_a] : hAPP(c_Set_OCollect(T_a),V_P_2) = V_P_2 )),
% 87.39/11.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 87.39/11.88 fof(f934,axiom,(
% 87.39/11.88 (! [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))) )),
% 87.39/11.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 87.39/11.88 fof(f5244,hypothesis,(
% 87.39/11.88 c_Hoare__Mirabelle_Ostate__not__singleton ),
% 87.39/11.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 87.39/11.88 fof(f5245,hypothesis,(
% 87.39/11.88 c_Com_OWT__bodies ),
% 87.39/11.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 87.39/11.88 fof(f5247,hypothesis,(
% 87.39/11.88 hAPP(c_Com_Obody,v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y) ),
% 87.39/11.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 87.39/11.88 fof(f5249,conjecture,(
% 87.39/11.88 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,hAPP(c_Com_Ocom_OBODY,v_pn))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ),
% 87.39/11.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 87.39/11.88 fof(f5250,negated_conjecture,(
% 87.39/11.88 ~(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,hAPP(c_Com_Ocom_OBODY,v_pn))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) )),
% 87.39/11.88 inference(negated_conjecture,[status(cth)],[f5249])).
% 87.39/11.88 fof(f5256,plain,(
% 87.39/11.88 ![V_ca_2]: (~c_Hoare__Mirabelle_Ostate__not__singleton|(~c_Com_OWT__bodies|(~hBOOL(hAPP(c_Com_OWT,V_ca_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_ca_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))))))),
% 87.39/11.88 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 87.39/11.88 fof(f5257,plain,(
% 87.39/11.88 ~c_Hoare__Mirabelle_Ostate__not__singleton|(~c_Com_OWT__bodies|(![V_ca_2]: (~hBOOL(hAPP(c_Com_OWT,V_ca_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_ca_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))))))),
% 87.39/11.88 inference(miniscoping,[status(esa)],[f5256])).
% 87.39/11.88 fof(f5258,plain,(
% 87.39/11.88 ![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)))))),
% 87.39/11.88 inference(cnf_transformation,[status(esa)],[f5257])).
% 87.39/11.88 fof(f5271,plain,(
% 87.39/11.88 ![V_a_2]: ((~hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,V_a_2)))|(?[B_y]: hAPP(c_Com_Obody,V_a_2)=hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),B_y)))&(hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,V_a_2)))|(![B_y]: ~hAPP(c_Com_Obody,V_a_2)=hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),B_y))))),
% 87.39/11.88 inference(NNF_transformation,[status(esa)],[f9])).
% 87.39/11.88 fof(f5272,plain,(
% 87.39/11.88 (![V_a_2]: (~hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,V_a_2)))|(?[B_y]: hAPP(c_Com_Obody,V_a_2)=hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),B_y))))&(![V_a_2]: (hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,V_a_2)))|(![B_y]: ~hAPP(c_Com_Obody,V_a_2)=hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),B_y))))),
% 87.39/11.88 inference(miniscoping,[status(esa)],[f5271])).
% 87.39/11.88 fof(f5273,plain,(
% 87.39/11.88 (![V_a_2]: (~hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,V_a_2)))|hAPP(c_Com_Obody,V_a_2)=hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),sk0_1(V_a_2))))&(![V_a_2]: (hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,V_a_2)))|(![B_y]: ~hAPP(c_Com_Obody,V_a_2)=hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),B_y))))),
% 87.39/11.88 inference(skolemization,[status(esa)],[f5272])).
% 87.39/11.88 fof(f5275,plain,(
% 87.39/11.88 ![X0,X1]: (hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X0)))|~hAPP(c_Com_Obody,X0)=hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X1))),
% 87.39/11.88 inference(cnf_transformation,[status(esa)],[f5273])).
% 87.39/11.88 fof(f5344,plain,(
% 87.39/11.88 ![X0,X1]: (c_Option_Oset(X0,hAPP(c_Option_Ooption_OSome(X0),X1))=hAPP(hAPP(c_Set_Oinsert(X0),X1),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))))),
% 87.39/11.88 inference(cnf_transformation,[status(esa)],[f36])).
% 87.39/11.88 fof(f7750,plain,(
% 87.39/11.88 ![X0,X1]: (hAPP(c_Set_OCollect(X0),X1)=X1)),
% 87.39/11.88 inference(cnf_transformation,[status(esa)],[f853])).
% 87.39/11.88 fof(f7942,plain,(
% 87.39/11.88 ![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))))),
% 87.39/11.88 inference(cnf_transformation,[status(esa)],[f934])).
% 87.39/11.88 fof(f19884,plain,(
% 87.39/11.88 c_Hoare__Mirabelle_Ostate__not__singleton),
% 87.39/11.88 inference(cnf_transformation,[status(esa)],[f5244])).
% 87.39/11.88 fof(f19885,plain,(
% 87.39/11.88 c_Com_OWT__bodies),
% 87.39/11.88 inference(cnf_transformation,[status(esa)],[f5245])).
% 87.39/11.88 fof(f19887,plain,(
% 87.39/11.88 hAPP(c_Com_Obody,v_pn)=hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y)),
% 87.39/11.88 inference(cnf_transformation,[status(esa)],[f5247])).
% 87.39/11.88 fof(f19889,plain,(
% 87.39/11.88 ~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,hAPP(c_Com_Ocom_OBODY,v_pn))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))),
% 87.39/11.88 inference(cnf_transformation,[status(esa)],[f5250])).
% 87.39/11.88 fof(f20124,plain,(
% 87.39/11.88 spl0_0 <=> c_Hoare__Mirabelle_Ostate__not__singleton),
% 87.39/11.88 introduced(split_symbol_definition)).
% 87.39/11.88 fof(f20126,plain,(
% 87.39/11.88 ~c_Hoare__Mirabelle_Ostate__not__singleton|spl0_0),
% 87.39/11.88 inference(component_clause,[status(thm)],[f20124])).
% 87.39/11.88 fof(f20127,plain,(
% 87.39/11.88 spl0_1 <=> c_Com_OWT__bodies),
% 87.39/11.88 introduced(split_symbol_definition)).
% 87.39/11.88 fof(f20129,plain,(
% 87.39/11.88 ~c_Com_OWT__bodies|spl0_1),
% 87.39/11.88 inference(component_clause,[status(thm)],[f20127])).
% 87.39/11.88 fof(f20130,plain,(
% 87.39/11.88 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))))),
% 87.39/11.88 introduced(split_symbol_definition)).
% 87.39/11.88 fof(f20131,plain,(
% 87.39/11.88 ![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)),
% 89.07/12.07 inference(component_clause,[status(thm)],[f20130])).
% 89.07/12.07 fof(f20133,plain,(
% 89.07/12.07 ~spl0_0|~spl0_1|spl0_2),
% 89.07/12.07 inference(split_clause,[status(thm)],[f5258,f20124,f20127,f20130])).
% 89.07/12.07 fof(f20474,plain,(
% 89.07/12.07 ![X0,X1]: (hAPP(c_fequal,X0)=hAPP(hAPP(c_Set_Oinsert(X1),X0),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))),
% 89.07/12.07 inference(forward_demodulation,[status(thm)],[f7750,f7942])).
% 89.07/12.07 fof(f20475,plain,(
% 89.07/12.07 ![X0,X1]: (hAPP(c_fequal,X0)=c_Option_Oset(X1,hAPP(c_Option_Ooption_OSome(X1),X0)))),
% 89.07/12.07 inference(forward_demodulation,[status(thm)],[f5344,f20474])).
% 89.07/12.07 fof(f23869,plain,(
% 89.07/12.07 ~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)),c_Option_Oset(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),hAPP(c_Option_Ooption_OSome(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pn)))))),
% 89.07/12.07 inference(forward_demodulation,[status(thm)],[f5344,f19889])).
% 89.07/12.07 fof(f23870,plain,(
% 89.07/12.07 ~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,hAPP(c_Com_Ocom_OBODY,v_pn))))),
% 89.07/12.07 inference(forward_demodulation,[status(thm)],[f20475,f23869])).
% 89.07/12.07 fof(f23933,plain,(
% 89.07/12.07 $false|spl0_0),
% 89.07/12.07 inference(forward_subsumption_resolution,[status(thm)],[f20126,f19884])).
% 89.07/12.07 fof(f23934,plain,(
% 89.07/12.07 spl0_0),
% 89.07/12.07 inference(contradiction_clause,[status(thm)],[f23933])).
% 89.07/12.07 fof(f24091,plain,(
% 89.07/12.07 ![X0,X1]: (hAPP(c_fequal,X0)=hAPP(hAPP(c_Set_Oinsert(X1),X0),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))),
% 89.07/12.07 inference(backward_demodulation,[status(thm)],[f20475,f5344])).
% 89.07/12.07 fof(f24842,plain,(
% 89.07/12.07 $false|spl0_1),
% 89.07/12.07 inference(forward_subsumption_resolution,[status(thm)],[f20129,f19885])).
% 89.07/12.07 fof(f24843,plain,(
% 89.07/12.07 spl0_1),
% 89.07/12.07 inference(contradiction_clause,[status(thm)],[f24842])).
% 89.07/12.07 fof(f24875,plain,(
% 89.07/12.07 ![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)),
% 89.07/12.07 inference(forward_demodulation,[status(thm)],[f24091,f20131])).
% 89.07/12.07 fof(f24886,plain,(
% 89.07/12.07 ~hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,v_pn)))|~spl0_2),
% 89.07/12.07 inference(resolution,[status(thm)],[f24875,f23870])).
% 89.07/12.07 fof(f24888,plain,(
% 89.07/12.07 ![X0]: (~hAPP(c_Com_Obody,v_pn)=hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X0)|~spl0_2)),
% 89.07/12.07 inference(resolution,[status(thm)],[f24886,f5275])).
% 89.07/12.07 fof(f24890,plain,(
% 89.07/12.07 $false|~spl0_2),
% 89.07/12.07 inference(backward_subsumption_resolution,[status(thm)],[f19887,f24888])).
% 89.07/12.07 fof(f24891,plain,(
% 89.07/12.07 ~spl0_2),
% 89.07/12.07 inference(contradiction_clause,[status(thm)],[f24890])).
% 89.07/12.07 fof(f24892,plain,(
% 89.07/12.07 $false),
% 89.07/12.07 inference(sat_refutation,[status(thm)],[f20133,f23934,f24843,f24891])).
% 89.07/12.07 % SZS output end CNFRefutation for theBenchmark.p
% 89.79/12.47 % Elapsed time: 12.125317 seconds
% 89.79/12.47 % CPU time: 89.160631 seconds
% 89.79/12.47 % Total memory used: 1.315 GB
% 89.79/12.47 % Net memory used: 1.259 GB
%------------------------------------------------------------------------------