%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWW232+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 : 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 03:08:51 PM UTC 2026
% Result : Theorem 0.42s 1.22s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW232+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.48 % Computer : n007.cluster.edu
% 0.17/0.48 % Model : x86_64 x86_64
% 0.17/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.48 % Memory : 8046.5625MB
% 0.17/0.48 % OS : Linux 6.8.0-71-generic
% 0.17/0.49 % CPULimit : 300
% 0.17/0.49 % WCLimit : 300
% 0.17/0.49 % DateTime : Mon Sep 21 09:40:05 UTC 2026
% 0.17/0.49 % CPUTime :
% 0.29/0.63 % Drodi V4.1.1
% 0.42/1.22 % Refutation found
% 0.42/1.22 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.42/1.22 % SZS output start CNFRefutation for theBenchmark
% 0.42/1.22 fof(f2,axiom,(
% 0.42/1.22 v_cs____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
% 0.42/1.22 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.42/1.22 fof(f4,axiom,(
% 0.42/1.22 (! [V_a,V_d] :( v_cs____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))=> (? [B_r] :(! [B_z] :( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,B_r,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z))=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_d,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,V_a,v_cs____)),B_z))) ) ))) )),
% 0.42/1.22 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.42/1.22 fof(f1253,hypothesis,(
% 0.42/1.22 ( (? [B_r] :(! [B_z] :( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,B_r,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z))=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_da____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),B_z))) )))=> v_thesis____ ) ),
% 0.42/1.22 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.42/1.22 fof(f1254,conjecture,(
% 0.42/1.22 v_thesis____ ),
% 0.42/1.22 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.42/1.22 fof(f1255,negated_conjecture,(
% 0.42/1.22 ~(v_thesis____ )),
% 0.42/1.22 inference(negated_conjecture,[status(cth)],[f1254])).
% 0.42/1.22 fof(f1259,plain,(
% 0.42/1.22 ~v_cs____=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),
% 0.42/1.22 inference(cnf_transformation,[status(thm)],[f2])).
% 0.42/1.22 fof(f1261,plain,(
% 0.42/1.22 ![V_a,V_d]: (v_cs____=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))|(?[B_r]: ![B_z]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,B_r,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_d,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,V_a,v_cs____)),B_z))))))),
% 0.42/1.22 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.42/1.22 fof(f1262,plain,(
% 0.42/1.22 v_cs____=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))|(![V_a,V_d]: ?[B_r]: ![B_z]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,B_r,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_d,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,V_a,v_cs____)),B_z)))))),
% 0.42/1.22 inference(miniscoping,[status(thm)],[f1261])).
% 0.42/1.22 fof(f1263,plain,(
% 0.42/1.22 v_cs____=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))|(![V_a,V_d]: ![B_z]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sK1_skl(V_d,V_a),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_d,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,V_a,v_cs____)),B_z)))))),
% 0.42/1.22 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(B_r,sK1_skl(V_d,V_a))],[f1262])).
% 0.42/1.22 fof(f1264,plain,(
% 0.42/1.22 ![X0,X1,X2]: (v_cs____=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sK1_skl(X0,X1),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X2))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,X1,v_cs____)),X2))))),
% 0.42/1.22 inference(cnf_transformation,[status(thm)],[f1263])).
% 0.42/1.22 fof(f4738,plain,(
% 0.42/1.22 (![B_r]: ?[B_z]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,B_r,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z))&~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_da____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),B_z)))))|v_thesis____),
% 0.42/1.24 inference(pre_NNF_transformation,[status(thm)],[f1253])).
% 0.42/1.24 fof(f4739,plain,(
% 0.42/1.24 (![B_r]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,B_r,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sK37_skl(B_r)))&~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_da____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),sK37_skl(B_r))))))|v_thesis____),
% 0.42/1.24 inference(skolemize,[status(esa),new_symbols(skolem,[sK37_skl]),skolemize(B_z,sK37_skl(B_r))],[f4738])).
% 0.42/1.24 fof(f4740,plain,(
% 0.42/1.24 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sK37_skl(X0)))|v_thesis____)),
% 0.42/1.24 inference(cnf_transformation,[status(thm)],[f4739])).
% 0.42/1.24 fof(f4741,plain,(
% 0.42/1.24 ![X0]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_da____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),sK37_skl(X0))))|v_thesis____)),
% 0.42/1.24 inference(cnf_transformation,[status(thm)],[f4739])).
% 0.42/1.24 fof(f4742,plain,(
% 0.42/1.24 ~v_thesis____),
% 0.42/1.24 inference(cnf_transformation,[status(thm)],[f1255])).
% 0.42/1.24 fof(f4753,plain,(
% 0.42/1.24 ![X0,X1,X2]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sK1_skl(X0,X1),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X2))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,X1,v_cs____)),X2))))),
% 0.42/1.24 inference(forward_subsumption_resolution,[status(thm)],[f1264,f1259])).
% 0.42/1.24 fof(f4981,plain,(
% 0.42/1.24 ![X0]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_da____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),sK37_skl(X0)))))),
% 0.42/1.24 inference(backward_subsumption_resolution,[status(thm)],[f4741,f4742])).
% 0.42/1.24 fof(f4982,plain,(
% 0.42/1.24 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sK37_skl(X0))))),
% 0.42/1.24 inference(backward_subsumption_resolution,[status(thm)],[f4740,f4742])).
% 0.42/1.24 fof(f4996,plain,(
% 0.42/1.24 ![X0,X1]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,X1,v_cs____)),sK37_skl(sK1_skl(X0,X1))))))),
% 0.42/1.24 inference(resolution,[status(thm)],[f4753,f4982])).
% 0.42/1.24 fof(f4998,plain,(
% 0.42/1.24 $false),
% 0.42/1.24 inference(resolution,[status(thm)],[f4996,f4981])).
% 0.42/1.24 % SZS output end CNFRefutation for theBenchmark.p
% 4.71/1.28 % Elapsed time: 0.775946 seconds
% 4.71/1.28 % CPU time: 4.900932 seconds
% 4.71/1.28 % Total memory used: 245.028 MB
% 4.71/1.28 % Net memory used: 242.699 MB
%------------------------------------------------------------------------------