%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWW204+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 03:08:48 PM UTC 2026
% Result : Theorem 0.15s 0.72s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW204+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
% 0.11/0.57 % Computer : n007.cluster.edu
% 0.11/0.57 % Model : x86_64 x86_64
% 0.11/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.57 % Memory : 8046.5625MB
% 0.11/0.57 % OS : Linux 6.8.0-71-generic
% 0.11/0.57 % CPULimit : 300
% 0.11/0.57 % WCLimit : 300
% 0.11/0.57 % DateTime : Mon Sep 21 09:39:21 UTC 2026
% 0.11/0.57 % CPUTime :
% 0.15/0.68 % Drodi V4.1.1
% 0.15/0.72 % Refutation found
% 0.15/0.72 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.72 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.72 fof(f4,axiom,(
% 0.15/0.72 (! [B_n] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,B_n))),v_r)) )),
% 0.15/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.72 fof(f9,axiom,(
% 0.15/0.72 (! [V_k,V_j,V_i] :( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i),V_j))=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_j),V_k))=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i),V_k)) ) ) )),
% 0.15/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.72 fof(f15,axiom,(
% 0.15/0.72 hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) ),
% 0.15/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.72 fof(f1264,conjecture,(
% 0.15/0.72 hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)) ),
% 0.15/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.72 fof(f1265,negated_conjecture,(
% 0.15/0.72 ~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)) )),
% 0.15/0.72 inference(negated_conjecture,[status(cth)],[f1264])).
% 0.15/0.72 fof(f1273,plain,(
% 0.15/0.72 ![X0]: (hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X0))),v_r)))),
% 0.15/0.72 inference(cnf_transformation,[status(thm)],[f4])).
% 0.15/0.72 fof(f1278,plain,(
% 0.15/0.72 ![V_k,V_j,V_i]: (~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i),V_j))|(~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_j),V_k))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i),V_k))))),
% 0.15/0.72 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.15/0.72 fof(f1279,plain,(
% 0.15/0.72 ![V_j,V_i]: (~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i),V_j))|(![V_k]: (~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_j),V_k))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i),V_k)))))),
% 0.15/0.72 inference(miniscoping,[status(thm)],[f1278])).
% 0.15/0.72 fof(f1280,plain,(
% 0.15/0.72 ![X0,X1,X2]: (~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))|~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X2)))),
% 0.15/0.72 inference(cnf_transformation,[status(thm)],[f1279])).
% 0.15/0.72 fof(f1301,plain,(
% 0.15/0.72 hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))),
% 0.15/0.72 inference(cnf_transformation,[status(thm)],[f15])).
% 0.15/0.72 fof(f4623,plain,(
% 0.15/0.72 ~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r))),
% 0.15/0.72 inference(cnf_transformation,[status(thm)],[f1265])).
% 0.15/0.72 fof(f4798,plain,(
% 0.15/0.72 ![X0]: (~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))|~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),v_r)))),
% 0.15/0.72 inference(resolution,[status(thm)],[f1280,f4623])).
% 0.15/0.72 fof(f4819,plain,(
% 0.15/0.72 ~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),v_r))),
% 0.15/0.72 inference(resolution,[status(thm)],[f1301,f4798])).
% 0.15/0.72 fof(f4821,plain,(
% 0.15/0.72 $false),
% 0.15/0.72 inference(forward_subsumption_resolution,[status(thm)],[f4819,f1273])).
% 0.15/0.72 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.77 % Elapsed time: 0.184990 seconds
% 0.15/0.77 % CPU time: 0.382486 seconds
% 0.15/0.77 % Total memory used: 151.734 MB
% 0.15/0.77 % Net memory used: 150.670 MB
%------------------------------------------------------------------------------