%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWW209+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 : n015.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 0.34s 0.64s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWW209+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.44 % Computer : n015.cluster.edu
% 0.15/0.44 % Model : x86_64 x86_64
% 0.15/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.44 % Memory : 8046.5625MB
% 0.15/0.44 % OS : Linux 6.8.0-71-generic
% 0.15/0.44 % CPULimit : 300
% 0.15/0.44 % WCLimit : 300
% 0.15/0.44 % DateTime : Mon Sep 21 09:44:22 UTC 2026
% 0.15/0.44 % CPUTime :
% 0.24/0.62 % Drodi V4.1.1
% 0.34/0.64 % Refutation found
% 0.34/0.64 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.34/0.64 % SZS output start CNFRefutation for theBenchmark
% 0.34/0.64 fof(f2,axiom,(
% 0.34/0.64 (! [B_m,B_n] :( c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_m,B_n)=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_f____,B_m),hAPP(v_f____,B_n)) ) )),
% 0.34/0.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.34/0.64 fof(f3,axiom,(
% 0.34/0.64 (! [B_m,B_n] :( c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_m,B_n)=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_ga____,B_m),hAPP(v_ga____,B_n)) ) )),
% 0.34/0.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.34/0.64 fof(f7,axiom,(
% 0.34/0.64 (! [V_xa_2,V_gb_2,V_fa_2,T_c,T_a,T_b] : hAPP(hAPP(c_Fun_Ocomp(T_b,T_a,T_c,V_fa_2),V_gb_2),V_xa_2) = hAPP(V_fa_2,hAPP(V_gb_2,V_xa_2)) )),
% 0.34/0.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.34/0.64 fof(f1161,conjecture,(
% 0.34/0.64 (! [B_m,B_n] :( c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_m,B_n)=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),B_m),hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),B_n)) ) )),
% 0.34/0.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.34/0.64 fof(f1162,negated_conjecture,(
% 0.34/0.64 ~((! [B_m,B_n] :( c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_m,B_n)=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),B_m),hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),B_n)) ) ))),
% 0.34/0.64 inference(negated_conjecture,[status(cth)],[f1161])).
% 0.34/0.64 fof(f1166,plain,(
% 0.34/0.64 ![B_m,B_n]: (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_m,B_n)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_f____,B_m),hAPP(v_f____,B_n)))),
% 0.34/0.64 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.34/0.64 fof(f1167,plain,(
% 0.34/0.64 ![X0,X1]: (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_f____,X0),hAPP(v_f____,X1)))),
% 0.34/0.64 inference(cnf_transformation,[status(thm)],[f1166])).
% 0.34/0.64 fof(f1168,plain,(
% 0.34/0.64 ![B_m,B_n]: (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_m,B_n)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_ga____,B_m),hAPP(v_ga____,B_n)))),
% 0.34/0.64 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.34/0.64 fof(f1169,plain,(
% 0.34/0.64 ![X0,X1]: (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_ga____,X0),hAPP(v_ga____,X1)))),
% 0.34/0.64 inference(cnf_transformation,[status(thm)],[f1168])).
% 0.34/0.64 fof(f1173,plain,(
% 0.34/0.64 ![X0,X1,X2,X3,X4,X5]: (hAPP(hAPP(c_Fun_Ocomp(X0,X1,X2,X3),X4),X5)=hAPP(X3,hAPP(X4,X5)))),
% 0.34/0.64 inference(cnf_transformation,[status(thm)],[f7])).
% 0.34/0.64 fof(f4488,plain,(
% 0.34/0.64 (?[B_m,B_n]: (c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_m,B_n)&~c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),B_m),hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),B_n))))),
% 0.34/0.64 inference(pre_NNF_transformation,[status(thm)],[f1162])).
% 0.34/0.64 fof(f4489,plain,(
% 0.34/0.64 (c_Orderings_Oord__class_Oless(tc_Nat_Onat,sK50_skl,sK51_skl)&~c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),sK50_skl),hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),sK51_skl)))),
% 0.34/0.64 inference(skolemize,[status(esa),new_symbols(skolem,[sK50_skl,sK51_skl]),skolemize(B_m,sK50_skl),skolemize(B_n,sK51_skl)],[f4488])).
% 0.34/0.64 fof(f4490,plain,(
% 0.34/0.64 c_Orderings_Oord__class_Oless(tc_Nat_Onat,sK50_skl,sK51_skl)),
% 0.34/0.64 inference(cnf_transformation,[status(thm)],[f4489])).
% 0.34/0.64 fof(f4491,plain,(
% 0.34/0.64 ~c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),sK50_skl),hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),sK51_skl))),
% 0.34/0.64 inference(cnf_transformation,[status(thm)],[f4489])).
% 0.34/0.64 fof(f4694,plain,(
% 0.34/0.64 ~c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),sK50_skl),hAPP(v_f____,hAPP(v_ga____,sK51_skl)))),
% 0.34/0.64 inference(backward_demodulation,[status(thm)],[f1173,f4491])).
% 0.34/0.64 fof(f4697,plain,(
% 0.34/0.65 ~c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_f____,hAPP(v_ga____,sK50_skl)),hAPP(v_f____,hAPP(v_ga____,sK51_skl)))),
% 0.34/0.65 inference(forward_demodulation,[status(thm)],[f1173,f4694])).
% 0.34/0.65 fof(f4726,plain,(
% 0.34/0.65 ~c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_ga____,sK50_skl),hAPP(v_ga____,sK51_skl))),
% 0.34/0.65 inference(resolution,[status(thm)],[f4697,f1167])).
% 0.34/0.65 fof(f4729,plain,(
% 0.34/0.65 ~c_Orderings_Oord__class_Oless(tc_Nat_Onat,sK50_skl,sK51_skl)),
% 0.34/0.65 inference(resolution,[status(thm)],[f4726,f1169])).
% 0.34/0.65 fof(f4732,plain,(
% 0.34/0.65 $false),
% 0.34/0.65 inference(forward_subsumption_resolution,[status(thm)],[f4729,f4490])).
% 0.34/0.65 % SZS output end CNFRefutation for theBenchmark.p
% 0.36/0.72 % Elapsed time: 0.262247 seconds
% 0.36/0.72 % CPU time: 0.328728 seconds
% 0.36/0.72 % Total memory used: 57.681 MB
% 0.36/0.72 % Net memory used: 57.267 MB
%------------------------------------------------------------------------------