%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWW389+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 : n011.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 03:09:04 PM UTC 2026
% Result : Theorem 0.83s 1.20s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW389+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
% 0.09/0.37 % Computer : n011.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 09:50:42 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.78/1.05 % Drodi V4.1.1
% 0.83/1.20 % Refutation found
% 0.83/1.20 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.83/1.20 % SZS output start CNFRefutation for theBenchmark
% 0.83/1.20 fof(f16,axiom,(
% 0.83/1.20 (! [V_Qa_2,V_ca_2,V_Ga_2,T_b,V_P_2] :( (! [B_Z,B_s] :( hBOOL(hAPP(hAPP(V_P_2,B_Z),B_s))=> c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),B_s))),V_ca_2),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_b),hAPP(V_Qa_2,B_Z)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ))=> c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),V_ca_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) )),
% 0.83/1.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.83/1.20 fof(f5222,axiom,(
% 0.83/1.20 (! [V_Q,V_P,T_b,T_a] : hAPP(hAPP(c_COMBK(T_a,T_b),V_P),V_Q) = V_P )),
% 0.83/1.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.83/1.20 fof(f5228,axiom,(
% 0.83/1.20 ~ hBOOL(c_fFalse) ),
% 0.83/1.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.83/1.20 fof(f5241,conjecture,(
% 0.83/1.20 c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),v_c),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ),
% 0.83/1.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.83/1.20 fof(f5242,negated_conjecture,(
% 0.83/1.20 ~(c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),v_c),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) )),
% 0.83/1.20 inference(negated_conjecture,[status(cth)],[f5241])).
% 0.83/1.20 fof(f5284,plain,(
% 0.83/1.20 ![V_Qa_2,V_ca_2,V_Ga_2,T_b,V_P_2]: ((?[B_Z,B_s]: (hBOOL(hAPP(hAPP(V_P_2,B_Z),B_s))&~c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),B_s))),V_ca_2),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_b),hAPP(V_Qa_2,B_Z)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))))|c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),V_ca_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))))),
% 0.83/1.20 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 0.83/1.20 fof(f5285,plain,(
% 0.83/1.20 ![V_Qa_2,V_ca_2,V_Ga_2,T_b,V_P_2]: ((hBOOL(hAPP(hAPP(V_P_2,sK1_skl(V_P_2,T_b,V_Ga_2,V_ca_2,V_Qa_2)),sK2_skl(V_P_2,T_b,V_Ga_2,V_ca_2,V_Qa_2)))&~c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),sK2_skl(V_P_2,T_b,V_Ga_2,V_ca_2,V_Qa_2)))),V_ca_2),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_b),hAPP(V_Qa_2,sK1_skl(V_P_2,T_b,V_Ga_2,V_ca_2,V_Qa_2))))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))))|c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),V_ca_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))))),
% 0.83/1.20 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl]),skolemize(B_Z,sK1_skl(V_P_2,T_b,V_Ga_2,V_ca_2,V_Qa_2)),skolemize(B_s,sK2_skl(V_P_2,T_b,V_Ga_2,V_ca_2,V_Qa_2))],[f5284])).
% 0.83/1.23 fof(f5286,plain,(
% 0.83/1.23 ![X0,X1,X2,X3,X4]: (hBOOL(hAPP(hAPP(X0,sK1_skl(X0,X1,X2,X3,X4)),sK2_skl(X0,X1,X2,X3,X4)))|c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X0),X3),X4)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool)))))),
% 0.83/1.23 inference(cnf_transformation,[status(thm)],[f5285])).
% 0.83/1.23 fof(f19876,plain,(
% 0.83/1.23 ![X0,X1,X2,X3]: (hAPP(hAPP(c_COMBK(X0,X1),X2),X3)=X2)),
% 0.83/1.23 inference(cnf_transformation,[status(thm)],[f5222])).
% 0.83/1.23 fof(f19882,plain,(
% 0.83/1.23 ~hBOOL(c_fFalse)),
% 0.83/1.23 inference(cnf_transformation,[status(thm)],[f5228])).
% 0.83/1.23 fof(f19903,plain,(
% 0.83/1.23 ~c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),v_c),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))),
% 0.83/1.23 inference(cnf_transformation,[status(thm)],[f5242])).
% 0.83/1.23 fof(f20784,plain,(
% 0.83/1.23 hBOOL(hAPP(hAPP(hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse)),sK1_skl(hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse)),t_a,v_G,v_c,v_Q)),sK2_skl(hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse)),t_a,v_G,v_c,v_Q)))),
% 0.83/1.23 inference(resolution,[status(thm)],[f5286,f19903])).
% 0.83/1.23 fof(f20797,plain,(
% 0.83/1.23 hBOOL(hAPP(hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse),sK2_skl(hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse)),t_a,v_G,v_c,v_Q)))),
% 0.83/1.23 inference(forward_demodulation,[status(thm)],[f19876,f20784])).
% 0.83/1.23 fof(f20798,plain,(
% 0.83/1.23 hBOOL(c_fFalse)),
% 0.83/1.23 inference(forward_demodulation,[status(thm)],[f19876,f20797])).
% 0.83/1.23 fof(f20799,plain,(
% 0.83/1.23 $false),
% 0.83/1.23 inference(forward_subsumption_resolution,[status(thm)],[f20798,f19882])).
% 0.83/1.23 % SZS output end CNFRefutation for theBenchmark.p
% 0.85/1.36 % Elapsed time: 0.963656 seconds
% 0.85/1.36 % CPU time: 2.062278 seconds
% 0.85/1.36 % Total memory used: 655.316 MB
% 0.85/1.36 % Net memory used: 649.505 MB
%------------------------------------------------------------------------------