%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWW294+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 : n006.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 13.24s 2.66s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW294+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
% 0.08/0.34 % Computer : n006.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 09:45:57 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.65/1.02 % Drodi V4.1.1
% 13.24/2.66 % Refutation found
% 13.24/2.66 % SZS status Theorem for theBenchmark: Theorem is valid
% 13.24/2.66 % SZS output start CNFRefutation for theBenchmark
% 13.24/2.66 fof(f192,axiom,(
% 13.24/2.66 (! [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) ) )) )),
% 13.24/2.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.24/2.66 fof(f203,axiom,(
% 13.24/2.66 (! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )),
% 13.24/2.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.24/2.66 fof(f5207,conjecture,(
% 13.24/2.66 (! [B_Z,B_s] :( v_P(B_Z,B_s)=> (! [B_s_H] :( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),B_s,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),B_s_H)=> v_Q(B_Z,B_s_H) ) )) )),
% 13.24/2.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.24/2.66 fof(f5208,negated_conjecture,(
% 13.24/2.66 ~((! [B_Z,B_s] :( v_P(B_Z,B_s)=> (! [B_s_H] :( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),B_s,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),B_s_H)=> v_Q(B_Z,B_s_H) ) )) ))),
% 13.24/2.66 inference(negated_conjecture,[status(cth)],[f5207])).
% 13.24/2.66 fof(f5662,plain,(
% 13.24/2.66 ![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))))),
% 13.24/2.66 inference(pre_NNF_transformation,[status(thm)],[f192])).
% 13.24/2.66 fof(f5663,plain,(
% 13.24/2.66 ![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,sK20_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,sK20_skl(V_P,V_s,V_n,V_s1),V_s1)))),
% 13.24/2.66 inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl]),skolemize(B_n,sK20_skl(V_P,V_s,V_n,V_s1))],[f5662])).
% 13.24/2.66 fof(f5664,plain,(
% 13.24/2.66 ![X0,X1,X2,X3]: (~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X0),X1,X2,X3)|X2=hAPP(c_Nat_OSuc,sK20_skl(X0,X1,X2,X3)))),
% 13.24/2.66 inference(cnf_transformation,[status(thm)],[f5663])).
% 13.24/2.66 fof(f5689,plain,(
% 13.24/2.66 ![X0]: (~hAPP(c_Nat_OSuc,X0)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
% 13.24/2.66 inference(cnf_transformation,[status(thm)],[f203])).
% 13.24/2.66 fof(f19786,plain,(
% 13.24/2.66 (?[B_Z,B_s]: (v_P(B_Z,B_s)&(?[B_s_H]: (c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),B_s,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),B_s_H)&~v_Q(B_Z,B_s_H)))))),
% 13.24/2.66 inference(pre_NNF_transformation,[status(thm)],[f5208])).
% 13.24/2.66 fof(f19787,plain,(
% 13.24/2.66 (v_P(sK494_skl,sK495_skl)&(c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),sK495_skl,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),sK496_skl)&~v_Q(sK494_skl,sK496_skl)))),
% 13.24/2.66 inference(skolemize,[status(esa),new_symbols(skolem,[sK494_skl,sK495_skl,sK496_skl]),skolemize(B_Z,sK494_skl),skolemize(B_s,sK495_skl),skolemize(B_s_H,sK496_skl)],[f19786])).
% 13.24/2.66 fof(f19789,plain,(
% 13.24/2.66 c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),sK495_skl,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),sK496_skl)),
% 13.24/2.66 inference(cnf_transformation,[status(thm)],[f19787])).
% 13.24/2.66 fof(f27082,plain,(
% 13.24/2.66 c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=hAPP(c_Nat_OSuc,sK20_skl(v_pn,sK495_skl,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),sK496_skl))),
% 13.24/2.66 inference(resolution,[status(thm)],[f5664,f19789])).
% 13.24/2.66 fof(f27692,plain,(
% 13.24/2.66 $false),
% 13.24/2.66 inference(backward_subsumption_resolution,[status(thm)],[f27082,f5689])).
% 13.24/2.66 % SZS output end CNFRefutation for theBenchmark.p
% 1.25/2.82 % Elapsed time: 2.455321 seconds
% 1.25/2.82 % CPU time: 13.828253 seconds
% 1.25/2.82 % Total memory used: 753.389 MB
% 1.25/2.82 % Net memory used: 743.918 MB
%------------------------------------------------------------------------------