%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWW229+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 : n016.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 03:08:50 PM UTC 2026
% Result : Theorem 8.15s 1.56s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW229+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
% 0.10/0.37 % Computer : n016.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 09:47:09 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.21/0.46 % Drodi V4.1.1
% 8.15/1.56 % Refutation found
% 8.15/1.56 % SZS status Theorem for theBenchmark: Theorem is valid
% 8.15/1.56 % SZS output start CNFRefutation for theBenchmark
% 8.15/1.56 fof(f6,axiom,(
% 8.15/1.56 (! [V_b,V_a,T_a] :( class_RealVector_Oreal__normed__vector(T_a)=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_a),c_RealVector_Onorm__class_Onorm(T_a,V_b))),c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b))) ) )),
% 8.15/1.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.15/1.56 fof(f18,axiom,(
% 8.15/1.56 (! [V_r] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,V_r) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_r) )),
% 8.15/1.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.15/1.56 fof(f1169,axiom,(
% 8.15/1.56 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
% 8.15/1.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.15/1.56 fof(f1254,conjecture,(
% 8.15/1.56 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))) ),
% 8.15/1.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.15/1.56 fof(f1255,negated_conjecture,(
% 8.15/1.56 ~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))) )),
% 8.15/1.56 inference(negated_conjecture,[status(cth)],[f1254])).
% 8.15/1.56 fof(f1263,plain,(
% 8.15/1.56 ![V_b,V_a,T_a]: (~class_RealVector_Oreal__normed__vector(T_a)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_a),c_RealVector_Onorm__class_Onorm(T_a,V_b))),c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b))))),
% 8.15/1.56 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 8.15/1.56 fof(f1264,plain,(
% 8.15/1.56 ![T_a]: (~class_RealVector_Oreal__normed__vector(T_a)|(![V_b,V_a]: c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_a),c_RealVector_Onorm__class_Onorm(T_a,V_b))),c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b)))))),
% 8.15/1.56 inference(miniscoping,[status(thm)],[f1263])).
% 8.15/1.56 fof(f1265,plain,(
% 8.15/1.56 ![X0,X1,X2]: (~class_RealVector_Oreal__normed__vector(X0)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2))),c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2))))),
% 8.15/1.56 inference(cnf_transformation,[status(thm)],[f1264])).
% 8.15/1.56 fof(f1297,plain,(
% 8.15/1.56 ![X0]: (c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0)=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0))),
% 8.15/1.56 inference(cnf_transformation,[status(thm)],[f18])).
% 8.15/1.56 fof(f4507,plain,(
% 8.15/1.59 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)),
% 8.15/1.59 inference(cnf_transformation,[status(thm)],[f1169])).
% 8.15/1.59 fof(f4645,plain,(
% 8.15/1.59 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))))),
% 8.15/1.59 inference(cnf_transformation,[status(thm)],[f1255])).
% 8.15/1.59 fof(f4776,plain,(
% 8.15/1.59 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))))),
% 8.15/1.59 inference(backward_demodulation,[status(thm)],[f1297,f4645])).
% 8.15/1.59 fof(f4782,plain,(
% 8.15/1.59 ![X0,X1,X2]: (~class_RealVector_Oreal__normed__vector(X0)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2))),c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2))))),
% 8.15/1.59 inference(forward_demodulation,[status(thm)],[f1297,f1265])).
% 8.15/1.59 fof(f4783,plain,(
% 8.15/1.59 ~class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)),
% 8.15/1.59 inference(resolution,[status(thm)],[f4776,f4782])).
% 8.15/1.59 fof(f9210,plain,(
% 8.15/1.59 $false),
% 8.15/1.59 inference(forward_subsumption_resolution,[status(thm)],[f4507,f4783])).
% 8.15/1.59 % SZS output end CNFRefutation for theBenchmark.p
% 0.49/1.60 % Elapsed time: 1.224434 seconds
% 0.49/1.60 % CPU time: 8.861363 seconds
% 0.49/1.60 % Total memory used: 328.445 MB
% 0.49/1.60 % Net memory used: 322.911 MB
%------------------------------------------------------------------------------