%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWW385+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:09:03 PM UTC 2026
% Result : Theorem 0.93s 1.72s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW385+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n015.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 09:53:52 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.79/1.05 % Drodi V4.1.1
% 0.93/1.72 % Refutation found
% 0.93/1.72 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.93/1.72 % SZS output start CNFRefutation for theBenchmark
% 0.93/1.72 fof(f4,axiom,(
% 0.93/1.72 (! [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)))) ) ) ) )),
% 0.93/1.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.93/1.72 fof(f34,axiom,(
% 0.93/1.72 (! [V_pn] :( hAPP(c_Com_Obody,V_pn) != c_Option_Ooption_ONone(tc_Com_Ocom)=> hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,V_pn))) ) )),
% 0.93/1.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.93/1.72 fof(f69,axiom,(
% 0.93/1.72 (! [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))) )),
% 0.93/1.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.93/1.72 fof(f234,axiom,(
% 0.93/1.72 (! [V_m_2,T_b,V_a_2,T_a] :( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Map_Odom(T_a,T_b,V_m_2)))<=> hAPP(V_m_2,V_a_2) != c_Option_Ooption_ONone(T_b) ) )),
% 0.93/1.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.93/1.72 fof(f5240,hypothesis,(
% 0.93/1.72 c_Hoare__Mirabelle_Ostate__not__singleton ),
% 0.93/1.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.93/1.72 fof(f5241,hypothesis,(
% 0.93/1.72 c_Com_OWT__bodies ),
% 0.93/1.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.93/1.72 fof(f5243,conjecture,(
% 0.93/1.72 (! [B_x] :( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),B_x),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)))=> 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,B_x))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ) )),
% 0.93/1.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.93/1.72 fof(f5244,negated_conjecture,(
% 0.93/1.72 ~((! [B_x] :( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),B_x),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)))=> 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,B_x))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ) ))),
% 0.93/1.72 inference(negated_conjecture,[status(cth)],[f5243])).
% 0.93/1.72 fof(f5250,plain,(
% 0.93/1.72 ![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)))))))),
% 0.93/1.72 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.93/1.72 fof(f5251,plain,(
% 0.93/1.72 ~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)))))))),
% 0.93/1.72 inference(miniscoping,[status(thm)],[f5250])).
% 0.93/1.72 fof(f5252,plain,(
% 0.93/1.72 ![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)))))),
% 0.93/1.72 inference(cnf_transformation,[status(thm)],[f5251])).
% 0.93/1.72 fof(f5335,plain,(
% 0.93/1.72 ![V_pn]: (hAPP(c_Com_Obody,V_pn)=c_Option_Ooption_ONone(tc_Com_Ocom)|hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,V_pn))))),
% 0.93/1.72 inference(pre_NNF_transformation,[status(thm)],[f34])).
% 0.93/1.72 fof(f5336,plain,(
% 0.93/1.72 ![X0]: (hAPP(c_Com_Obody,X0)=c_Option_Ooption_ONone(tc_Com_Ocom)|hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X0))))),
% 0.93/1.72 inference(cnf_transformation,[status(thm)],[f5335])).
% 0.93/1.72 fof(f5414,plain,(
% 0.93/1.72 ![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))))),
% 0.93/1.72 inference(cnf_transformation,[status(thm)],[f69])).
% 0.93/1.72 fof(f5901,plain,(
% 0.93/1.72 ![V_m_2,T_b,V_a_2,T_a]: ((~hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Map_Odom(T_a,T_b,V_m_2)))|~hAPP(V_m_2,V_a_2)=c_Option_Ooption_ONone(T_b))&(hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Map_Odom(T_a,T_b,V_m_2)))|hAPP(V_m_2,V_a_2)=c_Option_Ooption_ONone(T_b)))),
% 0.93/1.72 inference(NNF_transformation,[status(thm)],[f234])).
% 0.93/1.72 fof(f5902,plain,(
% 0.93/1.72 (![V_m_2,T_b,V_a_2]: ((![T_a]: ~hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Map_Odom(T_a,T_b,V_m_2))))|~hAPP(V_m_2,V_a_2)=c_Option_Ooption_ONone(T_b)))&(![V_m_2,T_b,V_a_2]: ((![T_a]: hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Map_Odom(T_a,T_b,V_m_2))))|hAPP(V_m_2,V_a_2)=c_Option_Ooption_ONone(T_b)))),
% 0.93/1.72 inference(miniscoping,[status(thm)],[f5901])).
% 0.93/1.72 fof(f5903,plain,(
% 0.93/1.72 ![X0,X1,X2,X3]: (~hBOOL(hAPP(hAPP(c_member(X0),X1),c_Map_Odom(X0,X2,X3)))|~hAPP(X3,X1)=c_Option_Ooption_ONone(X2))),
% 0.93/1.72 inference(cnf_transformation,[status(thm)],[f5902])).
% 0.93/1.72 fof(f19964,plain,(
% 0.93/1.72 c_Hoare__Mirabelle_Ostate__not__singleton),
% 0.93/1.72 inference(cnf_transformation,[status(thm)],[f5240])).
% 0.93/1.72 fof(f19965,plain,(
% 0.93/1.72 c_Com_OWT__bodies),
% 0.93/1.72 inference(cnf_transformation,[status(thm)],[f5241])).
% 0.93/1.72 fof(f19967,plain,(
% 0.93/1.72 (?[B_x]: (hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),B_x),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)))&~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,B_x))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))))),
% 0.93/1.72 inference(pre_NNF_transformation,[status(thm)],[f5244])).
% 0.93/1.72 fof(f19968,plain,(
% 0.93/1.72 (hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),sK533_skl),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)))&~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,sK533_skl))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))))),
% 0.93/1.72 inference(skolemize,[status(esa),new_symbols(skolem,[sK533_skl]),skolemize(B_x,sK533_skl)],[f19967])).
% 0.93/1.72 fof(f19969,plain,(
% 0.93/1.72 hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),sK533_skl),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)))),
% 0.93/1.72 inference(cnf_transformation,[status(thm)],[f19968])).
% 0.93/1.72 fof(f19970,plain,(
% 0.93/1.72 ~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,sK533_skl))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))),
% 0.93/1.72 inference(cnf_transformation,[status(thm)],[f19968])).
% 0.93/1.72 fof(f20758,plain,(
% 0.93/1.72 ![X0]: (~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)))))),
% 0.93/1.75 inference(forward_subsumption_resolution,[status(thm)],[f5252,f19964])).
% 0.93/1.75 fof(f20870,plain,(
% 0.93/1.75 ![X0]: (hAPP(c_Com_Obody,X0)=c_Option_Ooption_ONone(tc_Com_Ocom)|~c_Com_OWT__bodies|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,X0))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))))),
% 0.93/1.75 inference(resolution,[status(thm)],[f5336,f20758])).
% 0.93/1.75 fof(f20871,plain,(
% 0.93/1.75 ![X0]: (hAPP(c_Com_Obody,X0)=c_Option_Ooption_ONone(tc_Com_Ocom)|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,X0))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))))),
% 0.93/1.75 inference(forward_subsumption_resolution,[status(thm)],[f20870,f19965])).
% 0.93/1.75 fof(f21142,plain,(
% 0.93/1.75 ~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,sK533_skl)))))),
% 0.93/1.75 inference(backward_demodulation,[status(thm)],[f5414,f19970])).
% 0.93/1.75 fof(f21609,plain,(
% 0.93/1.75 ~hAPP(c_Com_Obody,sK533_skl)=c_Option_Ooption_ONone(tc_Com_Ocom)),
% 0.93/1.75 inference(resolution,[status(thm)],[f5903,f19969])).
% 0.93/1.75 fof(f25221,plain,(
% 0.93/1.75 ![X0]: (hAPP(c_Com_Obody,X0)=c_Option_Ooption_ONone(tc_Com_Ocom)|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,X0))))))),
% 0.93/1.75 inference(forward_demodulation,[status(thm)],[f5414,f20871])).
% 0.93/1.75 fof(f25222,plain,(
% 0.93/1.75 hAPP(c_Com_Obody,sK533_skl)=c_Option_Ooption_ONone(tc_Com_Ocom)),
% 0.93/1.75 inference(resolution,[status(thm)],[f25221,f21142])).
% 0.93/1.75 fof(f25235,plain,(
% 0.93/1.75 $false),
% 0.93/1.75 inference(forward_subsumption_resolution,[status(thm)],[f25222,f21609])).
% 0.93/1.75 % SZS output end CNFRefutation for theBenchmark.p
% 0.94/1.87 % Elapsed time: 1.490886 seconds
% 0.94/1.87 % CPU time: 6.152778 seconds
% 0.94/1.87 % Total memory used: 692.357 MB
% 0.94/1.87 % Net memory used: 686.725 MB
%------------------------------------------------------------------------------