%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWW293+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 : n007.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 03:08:55 PM UTC 2026
% Result : Theorem 8.35s 2.59s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW293+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
% 0.17/0.43 % Computer : n007.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 21 09:43:51 UTC 2026
% 0.17/0.43 % CPUTime :
% 1.20/1.55 % Drodi V4.1.1
% 8.35/2.59 % Refutation found
% 8.35/2.59 % SZS status Theorem for theBenchmark: Theorem is valid
% 8.35/2.59 % SZS output start CNFRefutation for theBenchmark
% 8.35/2.59 fof(f9,axiom,(
% 8.35/2.59 (! [V_Qa_2,V_c_2,V_Pa_2,V_n_2,T_b] :( c_Hoare__Mirabelle_Otriple__valid(T_b,V_n_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),V_c_2),V_Qa_2))<=> (! [B_Z,B_s] :( hBOOL(hAPP(hAPP(V_Pa_2,B_Z),B_s))=> (! [B_s_H] :( c_Natural_Oevaln(V_c_2,B_s,V_n_2,B_s_H)=> hBOOL(hAPP(hAPP(V_Qa_2,B_Z),B_s_H)) ) )) )) )),
% 8.35/2.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.35/2.59 fof(f191,axiom,(
% 8.35/2.59 (! [V_s1,V_n,V_s,V_P] :( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,V_P),V_s,V_n,V_s1)=> ~ (! [B_n] :( V_n = hAPP(c_Nat_OSuc,B_n)=> ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_P)),V_s,B_n,V_s1) ) )) )),
% 8.35/2.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.35/2.59 fof(f202,axiom,(
% 8.35/2.59 (! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )),
% 8.35/2.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.35/2.59 fof(f5205,conjecture,(
% 8.35/2.59 c_Hoare__Mirabelle_Otriple__valid(t_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q)) ),
% 8.35/2.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.35/2.59 fof(f5206,negated_conjecture,(
% 8.35/2.59 ~(c_Hoare__Mirabelle_Otriple__valid(t_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q)) )),
% 8.35/2.59 inference(negated_conjecture,[status(cth)],[f5205])).
% 8.35/2.59 fof(f5229,plain,(
% 8.35/2.59 ![V_Qa_2,V_c_2,V_Pa_2,V_n_2,T_b]: (c_Hoare__Mirabelle_Otriple__valid(T_b,V_n_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),V_c_2),V_Qa_2))<=>(![B_Z,B_s]: (~hBOOL(hAPP(hAPP(V_Pa_2,B_Z),B_s))|(![B_s_H]: (~c_Natural_Oevaln(V_c_2,B_s,V_n_2,B_s_H)|hBOOL(hAPP(hAPP(V_Qa_2,B_Z),B_s_H)))))))),
% 8.35/2.59 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 8.35/2.59 fof(f5230,plain,(
% 8.35/2.59 ![V_Qa_2,V_c_2,V_Pa_2,V_n_2,T_b]: ((~c_Hoare__Mirabelle_Otriple__valid(T_b,V_n_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),V_c_2),V_Qa_2))|(![B_Z,B_s]: (~hBOOL(hAPP(hAPP(V_Pa_2,B_Z),B_s))|(![B_s_H]: (~c_Natural_Oevaln(V_c_2,B_s,V_n_2,B_s_H)|hBOOL(hAPP(hAPP(V_Qa_2,B_Z),B_s_H)))))))&(c_Hoare__Mirabelle_Otriple__valid(T_b,V_n_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),V_c_2),V_Qa_2))|(?[B_Z,B_s]: (hBOOL(hAPP(hAPP(V_Pa_2,B_Z),B_s))&(?[B_s_H]: (c_Natural_Oevaln(V_c_2,B_s,V_n_2,B_s_H)&~hBOOL(hAPP(hAPP(V_Qa_2,B_Z),B_s_H))))))))),
% 8.35/2.59 inference(NNF_transformation,[status(thm)],[f5229])).
% 8.35/2.59 fof(f5231,plain,(
% 8.35/2.59 (![V_Qa_2,V_c_2,V_Pa_2,V_n_2]: ((![T_b]: ~c_Hoare__Mirabelle_Otriple__valid(T_b,V_n_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),V_c_2),V_Qa_2)))|(![B_Z,B_s]: (~hBOOL(hAPP(hAPP(V_Pa_2,B_Z),B_s))|(![B_s_H]: (~c_Natural_Oevaln(V_c_2,B_s,V_n_2,B_s_H)|hBOOL(hAPP(hAPP(V_Qa_2,B_Z),B_s_H))))))))&(![V_Qa_2,V_c_2,V_Pa_2,V_n_2]: ((![T_b]: c_Hoare__Mirabelle_Otriple__valid(T_b,V_n_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),V_c_2),V_Qa_2)))|(?[B_Z,B_s]: (hBOOL(hAPP(hAPP(V_Pa_2,B_Z),B_s))&(?[B_s_H]: (c_Natural_Oevaln(V_c_2,B_s,V_n_2,B_s_H)&~hBOOL(hAPP(hAPP(V_Qa_2,B_Z),B_s_H))))))))),
% 8.35/2.59 inference(miniscoping,[status(thm)],[f5230])).
% 8.35/2.59 fof(f5232,plain,(
% 8.35/2.59 (![V_Qa_2,V_c_2,V_Pa_2,V_n_2]: ((![T_b]: ~c_Hoare__Mirabelle_Otriple__valid(T_b,V_n_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),V_c_2),V_Qa_2)))|(![B_Z,B_s]: (~hBOOL(hAPP(hAPP(V_Pa_2,B_Z),B_s))|(![B_s_H]: (~c_Natural_Oevaln(V_c_2,B_s,V_n_2,B_s_H)|hBOOL(hAPP(hAPP(V_Qa_2,B_Z),B_s_H))))))))&(![V_Qa_2,V_c_2,V_Pa_2,V_n_2]: ((![T_b]: c_Hoare__Mirabelle_Otriple__valid(T_b,V_n_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),V_c_2),V_Qa_2)))|(hBOOL(hAPP(hAPP(V_Pa_2,sK1_skl(V_n_2,V_Pa_2,V_c_2,V_Qa_2)),sK2_skl(V_n_2,V_Pa_2,V_c_2,V_Qa_2)))&(c_Natural_Oevaln(V_c_2,sK2_skl(V_n_2,V_Pa_2,V_c_2,V_Qa_2),V_n_2,sK3_skl(V_n_2,V_Pa_2,V_c_2,V_Qa_2))&~hBOOL(hAPP(hAPP(V_Qa_2,sK1_skl(V_n_2,V_Pa_2,V_c_2,V_Qa_2)),sK3_skl(V_n_2,V_Pa_2,V_c_2,V_Qa_2)))))))),
% 8.35/2.59 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl,sK3_skl]),skolemize(B_Z,sK1_skl(V_n_2,V_Pa_2,V_c_2,V_Qa_2)),skolemize(B_s,sK2_skl(V_n_2,V_Pa_2,V_c_2,V_Qa_2)),skolemize(B_s_H,sK3_skl(V_n_2,V_Pa_2,V_c_2,V_Qa_2))],[f5231])).
% 8.35/2.62 fof(f5235,plain,(
% 8.35/2.62 ![X0,X1,X2,X3,X4]: (c_Hoare__Mirabelle_Otriple__valid(X0,X1,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X0),X2),X3),X4))|c_Natural_Oevaln(X3,sK2_skl(X1,X2,X3,X4),X1,sK3_skl(X1,X2,X3,X4)))),
% 8.35/2.62 inference(cnf_transformation,[status(thm)],[f5232])).
% 8.35/2.62 fof(f5669,plain,(
% 8.35/2.62 ![V_s1,V_n,V_s,V_P]: (~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,V_P),V_s,V_n,V_s1)|(?[B_n]: (V_n=hAPP(c_Nat_OSuc,B_n)&c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_P)),V_s,B_n,V_s1))))),
% 8.35/2.62 inference(pre_NNF_transformation,[status(thm)],[f191])).
% 8.35/2.62 fof(f5670,plain,(
% 8.35/2.62 ![V_s1,V_n,V_s,V_P]: (~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,V_P),V_s,V_n,V_s1)|(V_n=hAPP(c_Nat_OSuc,sK26_skl(V_P,V_s,V_n,V_s1))&c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_P)),V_s,sK26_skl(V_P,V_s,V_n,V_s1),V_s1)))),
% 8.35/2.62 inference(skolemize,[status(esa),new_symbols(skolem,[sK26_skl]),skolemize(B_n,sK26_skl(V_P,V_s,V_n,V_s1))],[f5669])).
% 8.35/2.62 fof(f5671,plain,(
% 8.35/2.62 ![X0,X1,X2,X3]: (~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X0),X1,X2,X3)|X2=hAPP(c_Nat_OSuc,sK26_skl(X0,X1,X2,X3)))),
% 8.35/2.62 inference(cnf_transformation,[status(thm)],[f5670])).
% 8.35/2.62 fof(f5696,plain,(
% 8.35/2.62 ![X0]: (~hAPP(c_Nat_OSuc,X0)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
% 8.35/2.62 inference(cnf_transformation,[status(thm)],[f202])).
% 8.35/2.62 fof(f19790,plain,(
% 8.35/2.62 ~c_Hoare__Mirabelle_Otriple__valid(t_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q))),
% 8.35/2.62 inference(cnf_transformation,[status(thm)],[f5206])).
% 8.35/2.62 fof(f20192,plain,(
% 8.35/2.62 c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),sK2_skl(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v_P,hAPP(c_Com_Ocom_OBODY,v_pn),v_Q),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),sK3_skl(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v_P,hAPP(c_Com_Ocom_OBODY,v_pn),v_Q))),
% 8.35/2.62 inference(resolution,[status(thm)],[f5235,f19790])).
% 8.35/2.62 fof(f26079,plain,(
% 8.35/2.62 c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=hAPP(c_Nat_OSuc,sK26_skl(v_pn,sK2_skl(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v_P,hAPP(c_Com_Ocom_OBODY,v_pn),v_Q),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),sK3_skl(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v_P,hAPP(c_Com_Ocom_OBODY,v_pn),v_Q)))),
% 8.35/2.62 inference(resolution,[status(thm)],[f5671,f20192])).
% 8.35/2.62 fof(f26996,plain,(
% 8.35/2.62 $false),
% 8.35/2.62 inference(backward_subsumption_resolution,[status(thm)],[f26079,f5696])).
% 8.35/2.62 % SZS output end CNFRefutation for theBenchmark.p
% 2.96/2.77 % Elapsed time: 2.315514 seconds
% 2.96/2.77 % CPU time: 9.280669 seconds
% 2.96/2.77 % Total memory used: 708.053 MB
% 2.96/2.77 % Net memory used: 699.257 MB
%------------------------------------------------------------------------------