TSTP Solution File: SWW386+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWW386+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 66.37s 9.00s
% Output : CNFRefutation 67.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.10 % Problem : SWW386+1 : TPTP v8.1.2. Released v5.2.0.
% 0.04/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.30 % Computer : n002.cluster.edu
% 0.07/0.30 % Model : x86_64 x86_64
% 0.07/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.30 % Memory : 8042.1875MB
% 0.07/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.30 % CPULimit : 300
% 0.07/0.30 % WCLimit : 300
% 0.07/0.30 % DateTime : Mon Apr 29 23:19:24 EDT 2024
% 0.07/0.30 % CPUTime :
% 0.45/0.66 % Drodi V3.6.0
% 66.37/9.00 % Refutation found
% 66.37/9.00 % SZS status Theorem for theBenchmark: Theorem is valid
% 66.37/9.00 % SZS output start CNFRefutation for theBenchmark
% 66.37/9.00 fof(f4,axiom,(
% 66.37/9.00 (! [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)))) ) ) ) )),
% 66.37/9.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.37/9.00 fof(f9,axiom,(
% 66.37/9.00 (! [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) )) )),
% 66.37/9.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.37/9.00 fof(f18,axiom,(
% 66.37/9.00 (! [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))) )),
% 66.37/9.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.37/9.00 fof(f3437,axiom,(
% 66.37/9.00 (! [V_P_2,T_a] : hAPP(c_Set_OCollect(T_a),V_P_2) = V_P_2 )),
% 66.37/9.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.37/9.00 fof(f3447,axiom,(
% 66.37/9.00 (! [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))) )),
% 66.37/9.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.37/9.00 fof(f5244,hypothesis,(
% 66.37/9.00 c_Hoare__Mirabelle_Ostate__not__singleton ),
% 66.37/9.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.37/9.00 fof(f5245,hypothesis,(
% 66.37/9.00 c_Com_OWT__bodies ),
% 66.37/9.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.37/9.00 fof(f5247,hypothesis,(
% 66.37/9.00 hAPP(c_Com_Obody,v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y) ),
% 66.37/9.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.37/9.00 fof(f5248,conjecture,(
% 66.37/9.00 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)))) ),
% 66.37/9.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.37/9.00 fof(f5249,negated_conjecture,(
% 66.37/9.00 ~(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)))) )),
% 66.37/9.00 inference(negated_conjecture,[status(cth)],[f5248])).
% 66.37/9.00 fof(f5255,plain,(
% 66.37/9.00 ![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)))))))),
% 66.37/9.00 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 66.37/9.00 fof(f5256,plain,(
% 66.37/9.00 ~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)))))))),
% 66.37/9.00 inference(miniscoping,[status(esa)],[f5255])).
% 66.37/9.00 fof(f5257,plain,(
% 66.37/9.00 ![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)))))),
% 66.37/9.00 inference(cnf_transformation,[status(esa)],[f5256])).
% 66.37/9.00 fof(f5270,plain,(
% 66.37/9.00 ![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))))),
% 66.37/9.00 inference(NNF_transformation,[status(esa)],[f9])).
% 66.37/9.00 fof(f5271,plain,(
% 66.37/9.00 (![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))))),
% 66.37/9.00 inference(miniscoping,[status(esa)],[f5270])).
% 66.37/9.00 fof(f5272,plain,(
% 66.37/9.00 (![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))))),
% 66.37/9.00 inference(skolemization,[status(esa)],[f5271])).
% 66.37/9.00 fof(f5274,plain,(
% 66.37/9.00 ![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))),
% 66.37/9.00 inference(cnf_transformation,[status(esa)],[f5272])).
% 66.37/9.00 fof(f5301,plain,(
% 66.37/9.00 ![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))))),
% 66.37/9.00 inference(cnf_transformation,[status(esa)],[f18])).
% 66.37/9.00 fof(f15587,plain,(
% 66.37/9.00 ![X0,X1]: (hAPP(c_Set_OCollect(X0),X1)=X1)),
% 66.37/9.00 inference(cnf_transformation,[status(esa)],[f3437])).
% 66.37/9.00 fof(f15609,plain,(
% 66.37/9.00 ![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))))),
% 66.37/9.00 inference(cnf_transformation,[status(esa)],[f3447])).
% 66.37/9.00 fof(f19983,plain,(
% 66.37/9.00 c_Hoare__Mirabelle_Ostate__not__singleton),
% 66.37/9.00 inference(cnf_transformation,[status(esa)],[f5244])).
% 66.37/9.00 fof(f19984,plain,(
% 66.37/9.00 c_Com_OWT__bodies),
% 66.37/9.00 inference(cnf_transformation,[status(esa)],[f5245])).
% 66.37/9.00 fof(f19986,plain,(
% 66.37/9.00 hAPP(c_Com_Obody,v_pn)=hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y)),
% 66.37/9.00 inference(cnf_transformation,[status(esa)],[f5247])).
% 66.37/9.00 fof(f19987,plain,(
% 66.37/9.00 ~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))))),
% 66.37/9.00 inference(cnf_transformation,[status(esa)],[f5249])).
% 66.37/9.00 fof(f20228,plain,(
% 66.37/9.00 spl0_0 <=> c_Hoare__Mirabelle_Ostate__not__singleton),
% 66.37/9.00 introduced(split_symbol_definition)).
% 66.37/9.00 fof(f20230,plain,(
% 66.37/9.00 ~c_Hoare__Mirabelle_Ostate__not__singleton|spl0_0),
% 66.37/9.00 inference(component_clause,[status(thm)],[f20228])).
% 66.37/9.00 fof(f20231,plain,(
% 66.37/9.00 spl0_1 <=> c_Com_OWT__bodies),
% 66.37/9.00 introduced(split_symbol_definition)).
% 66.37/9.00 fof(f20233,plain,(
% 66.37/9.00 ~c_Com_OWT__bodies|spl0_1),
% 66.37/9.00 inference(component_clause,[status(thm)],[f20231])).
% 66.37/9.00 fof(f20234,plain,(
% 66.37/9.00 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))))),
% 66.37/9.00 introduced(split_symbol_definition)).
% 66.37/9.00 fof(f20235,plain,(
% 66.37/9.00 ![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)),
% 67.57/9.16 inference(component_clause,[status(thm)],[f20234])).
% 67.57/9.16 fof(f20237,plain,(
% 67.57/9.16 ~spl0_0|~spl0_1|spl0_2),
% 67.57/9.16 inference(split_clause,[status(thm)],[f5257,f20228,f20231,f20234])).
% 67.57/9.16 fof(f23584,plain,(
% 67.57/9.16 ![X0,X1]: (hAPP(c_fequal,X0)=hAPP(hAPP(c_Set_Oinsert(X1),X0),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))),
% 67.57/9.16 inference(forward_demodulation,[status(thm)],[f15587,f15609])).
% 67.57/9.16 fof(f23585,plain,(
% 67.57/9.16 ![X0,X1]: (hAPP(c_fequal,X0)=c_Option_Oset(X1,hAPP(c_Option_Ooption_OSome(X1),X0)))),
% 67.57/9.16 inference(forward_demodulation,[status(thm)],[f5301,f23584])).
% 67.57/9.16 fof(f24345,plain,(
% 67.57/9.16 ~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)))))),
% 67.57/9.16 inference(forward_demodulation,[status(thm)],[f5301,f19987])).
% 67.57/9.16 fof(f24346,plain,(
% 67.57/9.16 ~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))))),
% 67.57/9.16 inference(forward_demodulation,[status(thm)],[f23585,f24345])).
% 67.57/9.16 fof(f24409,plain,(
% 67.57/9.16 $false|spl0_0),
% 67.57/9.16 inference(forward_subsumption_resolution,[status(thm)],[f20230,f19983])).
% 67.57/9.16 fof(f24410,plain,(
% 67.57/9.16 spl0_0),
% 67.57/9.16 inference(contradiction_clause,[status(thm)],[f24409])).
% 67.57/9.16 fof(f25012,plain,(
% 67.57/9.16 ![X0,X1]: (hAPP(c_fequal,X0)=hAPP(hAPP(c_Set_Oinsert(X1),X0),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))),
% 67.57/9.16 inference(backward_demodulation,[status(thm)],[f23585,f5301])).
% 67.57/9.16 fof(f25266,plain,(
% 67.57/9.16 $false|spl0_1),
% 67.57/9.16 inference(forward_subsumption_resolution,[status(thm)],[f20233,f19984])).
% 67.57/9.16 fof(f25267,plain,(
% 67.57/9.16 spl0_1),
% 67.57/9.16 inference(contradiction_clause,[status(thm)],[f25266])).
% 67.57/9.16 fof(f25443,plain,(
% 67.57/9.16 ![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)),
% 67.57/9.16 inference(forward_demodulation,[status(thm)],[f25012,f20235])).
% 67.57/9.16 fof(f25456,plain,(
% 67.57/9.16 ~hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,v_pn)))|~spl0_2),
% 67.57/9.16 inference(resolution,[status(thm)],[f25443,f24346])).
% 67.57/9.16 fof(f25458,plain,(
% 67.57/9.16 ![X0]: (~hAPP(c_Com_Obody,v_pn)=hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X0)|~spl0_2)),
% 67.57/9.16 inference(resolution,[status(thm)],[f25456,f5274])).
% 67.57/9.16 fof(f25460,plain,(
% 67.57/9.16 $false|~spl0_2),
% 67.57/9.16 inference(backward_subsumption_resolution,[status(thm)],[f19986,f25458])).
% 67.57/9.16 fof(f25461,plain,(
% 67.57/9.16 ~spl0_2),
% 67.57/9.16 inference(contradiction_clause,[status(thm)],[f25460])).
% 67.57/9.16 fof(f25462,plain,(
% 67.57/9.16 $false),
% 67.57/9.16 inference(sat_refutation,[status(thm)],[f20237,f24410,f25267,f25461])).
% 67.57/9.16 % SZS output end CNFRefutation for theBenchmark.p
% 68.20/9.51 % Elapsed time: 9.200768 seconds
% 68.20/9.51 % CPU time: 67.628461 seconds
% 68.20/9.51 % Total memory used: 1.254 GB
% 68.20/9.51 % Net memory used: 1.202 GB
%------------------------------------------------------------------------------