%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWW384+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 211.92s 27.76s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW384+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n014.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 09:50:19 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.80/1.05 % Drodi V4.1.1
% 211.92/27.76 % Refutation found
% 211.92/27.76 % SZS status Theorem for theBenchmark: Theorem is valid
% 211.92/27.76 % SZS output start CNFRefutation for theBenchmark
% 211.92/27.76 fof(f4,axiom,(
% 211.92/27.76 (! [V_G_2,V_ts_2,T_a] :( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)),V_ts_2),V_G_2))=> c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,V_ts_2) ) )),
% 211.92/27.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 211.92/27.76 fof(f40,axiom,(
% 211.92/27.76 (! [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) )),
% 211.92/27.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 211.92/27.76 fof(f45,axiom,(
% 211.92/27.76 (! [V_A_2,V_a_2,T_a] :( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))=> hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2) = V_A_2 ) )),
% 211.92/27.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 211.92/27.76 fof(f71,axiom,(
% 211.92/27.76 (! [V_B_2,V_a_2,V_f_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_B_2)) )),
% 211.92/27.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 211.92/27.76 fof(f112,axiom,(
% 211.92/27.76 (! [V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_B_2) = V_B_2 )),
% 211.92/27.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 211.92/27.76 fof(f118,axiom,(
% 211.92/27.76 (! [V_C_2,V_B_2,V_a_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) )),
% 211.92/27.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 211.92/27.76 fof(f121,axiom,(
% 211.92/27.76 (! [V_B_2,V_A_2,T_a] :( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))<=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) )),
% 211.92/27.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 211.92/27.76 fof(f1058,axiom,(
% 211.92/27.76 (! [V_a_H,T_a] : hAPP(c_Option_Ooption_OSome(T_a),V_a_H) != c_Option_Ooption_ONone(T_a) )),
% 211.92/27.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 211.92/27.76 fof(f1113,axiom,(
% 211.92/27.76 (! [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) ) )),
% 211.92/27.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 211.92/27.76 fof(f5249,hypothesis,(
% 211.92/27.76 hAPP(c_Com_Obody,v_pna) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_ya) ),
% 211.92/27.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 211.92/27.76 fof(f5250,conjecture,(
% 211.92/27.76 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,hAPP(c_Com_Ocom_OBODY,v_pna))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ),
% 211.92/27.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 211.92/27.76 fof(f5251,negated_conjecture,(
% 211.92/27.76 ~(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,hAPP(c_Com_Ocom_OBODY,v_pna))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) )),
% 211.92/27.76 inference(negated_conjecture,[status(cth)],[f5250])).
% 211.92/27.76 fof(f5257,plain,(
% 211.92/27.76 ![V_G_2,V_ts_2,T_a]: (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)),V_ts_2),V_G_2))|c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,V_ts_2))),
% 211.92/27.76 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 211.92/27.76 fof(f5258,plain,(
% 211.92/27.76 ![X0,X1,X2]: (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X0),tc_HOL_Obool)),X1),X2))|c_Hoare__Mirabelle_Ohoare__derivs(X0,X2,X1))),
% 211.92/27.76 inference(cnf_transformation,[status(thm)],[f5257])).
% 211.92/27.76 fof(f5363,plain,(
% 211.92/27.76 ![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))),
% 211.92/27.76 inference(cnf_transformation,[status(thm)],[f40])).
% 211.92/27.76 fof(f5378,plain,(
% 211.92/27.76 ![V_A_2,V_a_2,T_a]: (~hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))|hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)=V_A_2)),
% 211.92/27.76 inference(pre_NNF_transformation,[status(thm)],[f45])).
% 211.92/27.76 fof(f5379,plain,(
% 211.92/27.76 ![X0,X1,X2]: (~hBOOL(hAPP(hAPP(c_member(X0),X1),X2))|hAPP(hAPP(c_Set_Oinsert(X0),X1),X2)=X2)),
% 211.92/27.76 inference(cnf_transformation,[status(thm)],[f5378])).
% 211.92/27.76 fof(f5458,plain,(
% 211.92/27.76 ![X0,X1,X2,X3,X4]: (hAPP(c_Set_Oimage(X0,X1,X2),hAPP(hAPP(c_Set_Oinsert(X0),X3),X4))=hAPP(hAPP(c_Set_Oinsert(X1),hAPP(X2,X3)),hAPP(c_Set_Oimage(X0,X1,X2),X4)))),
% 211.92/27.76 inference(cnf_transformation,[status(thm)],[f71])).
% 211.92/27.76 fof(f5589,plain,(
% 211.92/27.76 ![X0,X1]: (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X0,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))),X1)=X1)),
% 211.92/27.76 inference(cnf_transformation,[status(thm)],[f112])).
% 211.92/27.76 fof(f5605,plain,(
% 211.92/27.76 ![X0,X1,X2,X3]: (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X0,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X0),X1),X2)),X3)=hAPP(hAPP(c_Set_Oinsert(X0),X1),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X0,tc_HOL_Obool)),X2),X3)))),
% 211.92/27.76 inference(cnf_transformation,[status(thm)],[f118])).
% 211.92/27.76 fof(f5608,plain,(
% 211.92/27.76 ![V_B_2,V_A_2,T_a]: ((~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)=V_B_2)&(hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))|~hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)=V_B_2))),
% 211.92/27.76 inference(NNF_transformation,[status(thm)],[f121])).
% 211.92/27.76 fof(f5609,plain,(
% 211.92/27.76 (![V_B_2,V_A_2,T_a]: (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)=V_B_2))&(![V_B_2,V_A_2,T_a]: (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))|~hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)=V_B_2))),
% 211.92/27.76 inference(miniscoping,[status(thm)],[f5608])).
% 211.92/27.76 fof(f5611,plain,(
% 211.92/27.76 ![X0,X1,X2]: (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool)),X1),X2))|~hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X0,tc_HOL_Obool)),X1),X2)=X2)),
% 211.92/27.76 inference(cnf_transformation,[status(thm)],[f5609])).
% 211.92/27.76 fof(f8344,plain,(
% 211.92/27.76 ![X0,X1]: (~hAPP(c_Option_Ooption_OSome(X0),X1)=c_Option_Ooption_ONone(X0))),
% 211.92/27.76 inference(cnf_transformation,[status(thm)],[f1058])).
% 211.92/27.76 fof(f8486,plain,(
% 211.92/27.76 ![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)))),
% 211.92/27.76 inference(NNF_transformation,[status(thm)],[f1113])).
% 211.92/27.76 fof(f8487,plain,(
% 211.92/27.76 (![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)))),
% 211.92/27.76 inference(miniscoping,[status(thm)],[f8486])).
% 211.92/27.76 fof(f8489,plain,(
% 211.92/27.76 ![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))),
% 211.92/27.76 inference(cnf_transformation,[status(thm)],[f8487])).
% 211.92/27.76 fof(f19919,plain,(
% 211.92/27.76 hAPP(c_Com_Obody,v_pna)=hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_ya)),
% 211.92/27.76 inference(cnf_transformation,[status(thm)],[f5249])).
% 211.92/27.76 fof(f19920,plain,(
% 211.92/27.76 ~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,hAPP(c_Com_Ocom_OBODY,v_pna))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))),
% 211.92/27.76 inference(cnf_transformation,[status(thm)],[f5251])).
% 211.92/27.76 fof(f20623,plain,(
% 211.92/27.76 ~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,hAPP(c_Com_Ocom_OBODY,v_pna))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))),
% 211.92/27.76 inference(backward_demodulation,[status(thm)],[f5363,f19920])).
% 211.92/27.76 fof(f21796,plain,(
% 211.92/27.76 ~hAPP(c_Com_Obody,v_pna)=c_Option_Ooption_ONone(tc_Com_Ocom)),
% 211.92/27.76 inference(paramodulation,[status(thm)],[f19919,f8344])).
% 211.92/27.76 fof(f28132,plain,(
% 211.92/27.76 ![X0,X1,X2,X3]: (hAPP(X0,X1)=c_Option_Ooption_ONone(X2)|hAPP(hAPP(c_Set_Oinsert(X3),X1),c_Map_Odom(X3,X2,X0))=c_Map_Odom(X3,X2,X0))),
% 211.92/27.76 inference(resolution,[status(thm)],[f8489,f5379])).
% 211.92/27.76 fof(f29936,plain,(
% 211.92/27.76 ![X0,X1,X2]: (~hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(X0),tc_HOL_Obool)),X1),X2)=X2|c_Hoare__Mirabelle_Ohoare__derivs(X0,X2,X1))),
% 211.92/27.76 inference(resolution,[status(thm)],[f5611,f5258])).
% 211.92/27.76 fof(f29980,plain,(
% 211.92/27.76 ~hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(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_pna))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),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_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)))),
% 211.92/27.76 inference(resolution,[status(thm)],[f29936,f20623])).
% 211.92/27.76 fof(f30303,plain,(
% 211.92/27.76 ~hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna))),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))),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_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)))),
% 211.92/27.76 inference(forward_demodulation,[status(thm)],[f5605,f29980])).
% 211.92/27.76 fof(f30304,plain,(
% 211.92/27.76 ~hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna))),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_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)))),
% 212.63/27.89 inference(forward_demodulation,[status(thm)],[f5589,f30303])).
% 212.63/27.89 fof(f30305,plain,(
% 212.63/27.89 ~hAPP(c_Set_Oimage(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Hoare__Mirabelle_OMGT),hAPP(hAPP(c_Set_Oinsert(tc_Com_Ocom),hAPP(c_Com_Ocom_OBODY,v_pna)),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_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)))),
% 212.63/27.89 inference(forward_demodulation,[status(thm)],[f5458,f30304])).
% 212.63/27.89 fof(f30306,plain,(
% 212.63/27.89 ~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),hAPP(hAPP(c_Set_Oinsert(tc_Com_Opname),v_pna),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))))=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)))),
% 212.63/27.89 inference(forward_demodulation,[status(thm)],[f5458,f30305])).
% 212.63/27.89 fof(f30825,plain,(
% 212.63/27.89 ~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_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_Com_Obody,v_pna)=c_Option_Ooption_ONone(tc_Com_Ocom)),
% 212.63/27.89 inference(paramodulation,[status(thm)],[f28132,f30306])).
% 212.63/27.89 fof(f30826,definition,(
% 212.63/27.89 sQ326_spl <=> (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_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))))),
% 212.63/27.89 introduced(definition,[new_symbols(definition,[sQ326_spl])],[split_symbol_definition])).
% 212.63/27.89 fof(f30828,plain,(
% 212.63/27.89 ~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_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)))|sQ326_spl),
% 212.63/27.89 inference(component_clause,[status(thm)],[f30826])).
% 212.63/27.89 fof(f30829,definition,(
% 212.63/27.89 sQ327_spl <=> (hAPP(c_Com_Obody,v_pna)=c_Option_Ooption_ONone(tc_Com_Ocom))),
% 212.63/27.89 introduced(definition,[new_symbols(definition,[sQ327_spl])],[split_symbol_definition])).
% 212.63/27.89 fof(f30830,plain,(
% 212.63/27.89 hAPP(c_Com_Obody,v_pna)=c_Option_Ooption_ONone(tc_Com_Ocom)|~sQ327_spl),
% 212.63/27.89 inference(component_clause,[status(thm)],[f30829])).
% 212.63/27.89 fof(f30832,plain,(
% 212.63/27.89 ~sQ326_spl|sQ327_spl),
% 212.63/27.89 inference(split_clause,[status(thm)],[f30825,f30826,f30829])).
% 212.63/27.89 fof(f30833,plain,(
% 212.63/27.89 $false|sQ326_spl),
% 212.63/27.89 inference(trivial_equality_resolution,[status(thm)],[f30828])).
% 212.63/27.89 fof(f30834,plain,(
% 212.63/27.89 sQ326_spl),
% 212.63/27.89 inference(contradiction_clause,[status(thm)],[f30833])).
% 212.63/27.89 fof(f30835,plain,(
% 212.63/27.89 $false|~sQ327_spl),
% 212.63/27.89 inference(forward_subsumption_resolution,[status(thm)],[f30830,f21796])).
% 212.63/27.89 fof(f30836,plain,(
% 212.63/27.89 ~sQ327_spl),
% 212.63/27.89 inference(contradiction_clause,[status(thm)],[f30835])).
% 212.63/27.89 fof(f30837,plain,(
% 212.63/27.89 $false),
% 212.63/27.89 inference(sat_refutation,[status(thm)],[f30832,f30834,f30836])).
% 212.63/27.89 % SZS output end CNFRefutation for theBenchmark.p
% 6.98/28.14 % Elapsed time: 27.749022 seconds
% 6.98/28.14 % CPU time: 214.016402 seconds
% 6.98/28.14 % Total memory used: 1.872 GB
% 6.98/28.14 % Net memory used: 1.779 GB
%------------------------------------------------------------------------------