%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWW198+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 : n010.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 03:08:48 PM UTC 2026
% Result : Theorem 0.14s 5.53s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW198+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
% 0.12/5.38 % Computer : n010.cluster.edu
% 0.12/5.38 % Model : x86_64 x86_64
% 0.12/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.38 % Memory : 8046.5625MB
% 0.12/5.38 % OS : Linux 6.8.0-71-generic
% 0.12/5.38 % CPULimit : 300
% 0.12/5.38 % WCLimit : 300
% 0.12/5.38 % DateTime : Mon Sep 21 09:41:03 UTC 2026
% 0.12/5.38 % CPUTime :
% 0.14/5.48 % Drodi V4.1.1
% 0.14/5.53 % Refutation found
% 0.14/5.53 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/5.53 % SZS output start CNFRefutation for theBenchmark
% 0.14/5.53 fof(f1,axiom,(
% 0.14/5.53 ~ c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,v_na____) ),
% 0.14/5.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.53 fof(f49,axiom,(
% 0.14/5.53 (! [V_nb_2] :( ~ c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_nb_2)<=> (? [B_m] : V_nb_2 = c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),B_m)) )) )),
% 0.14/5.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.53 fof(f1186,conjecture,(
% 0.14/5.53 (? [B_m] : v_na____ = c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),B_m)) )),
% 0.14/5.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.53 fof(f1187,negated_conjecture,(
% 0.14/5.53 ~((? [B_m] : v_na____ = c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),B_m)) ))),
% 0.14/5.53 inference(negated_conjecture,[status(cth)],[f1186])).
% 0.14/5.53 fof(f1188,plain,(
% 0.14/5.53 ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,v_na____)),
% 0.14/5.53 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/5.53 fof(f1291,plain,(
% 0.14/5.53 ![V_nb_2]: ((c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_nb_2)|(?[B_m]: V_nb_2=c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),B_m))))&(~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_nb_2)|(![B_m]: ~V_nb_2=c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),B_m)))))),
% 0.14/5.53 inference(NNF_transformation,[status(thm)],[f49])).
% 0.14/5.53 fof(f1292,plain,(
% 0.14/5.53 (![V_nb_2]: (c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_nb_2)|(?[B_m]: V_nb_2=c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),B_m)))))&(![V_nb_2]: (~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_nb_2)|(![B_m]: ~V_nb_2=c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),B_m)))))),
% 0.14/5.53 inference(miniscoping,[status(thm)],[f1291])).
% 0.14/5.53 fof(f1293,plain,(
% 0.14/5.53 (![V_nb_2]: (c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_nb_2)|V_nb_2=c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),sK0_skl(V_nb_2)))))&(![V_nb_2]: (~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_nb_2)|(![B_m]: ~V_nb_2=c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),B_m)))))),
% 0.14/5.53 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(B_m,sK0_skl(V_nb_2))],[f1292])).
% 0.14/5.53 fof(f1294,plain,(
% 0.14/5.53 ![X0]: (c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0)|X0=c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),sK0_skl(X0))))),
% 0.14/5.53 inference(cnf_transformation,[status(thm)],[f1293])).
% 0.14/5.53 fof(f4598,plain,(
% 0.14/5.53 (![B_m]: ~v_na____=c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),B_m)))),
% 0.14/5.53 inference(pre_NNF_transformation,[status(thm)],[f1187])).
% 0.14/5.53 fof(f4599,plain,(
% 0.14/5.53 ![X0]: (~v_na____=c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X0)))),
% 0.14/5.53 inference(cnf_transformation,[status(thm)],[f4598])).
% 0.14/5.53 fof(f5056,plain,(
% 0.14/5.53 v_na____=c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),sK0_skl(v_na____)))),
% 0.14/5.53 inference(resolution,[status(thm)],[f1294,f1188])).
% 0.14/5.53 fof(f5057,plain,(
% 0.14/5.53 $false),
% 0.14/5.53 inference(forward_subsumption_resolution,[status(thm)],[f5056,f4599])).
% 0.14/5.53 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/5.56 % Elapsed time: 0.173742 seconds
% 0.14/5.56 % CPU time: 0.370773 seconds
% 0.14/5.56 % Total memory used: 150.423 MB
% 0.14/5.56 % Net memory used: 149.305 MB
%------------------------------------------------------------------------------