%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ALG386-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 11:50:07 AM UTC 2026
% Result : Unsatisfiable 2.29s 0.88s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG386-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.37 % Computer : n011.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Mon Sep 21 13:18:26 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.14/0.41 % Drodi V4.1.1
% 2.29/0.88 % Refutation found
% 2.29/0.88 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.29/0.88 % SZS output start CNFRefutation for theBenchmark
% 2.29/0.88 fof(f197,axiom,(
% 2.29/0.88 v_cs____ != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
% 2.29/0.88 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.29/0.88 fof(f398,axiom,(
% 2.29/0.88 (![V_d,V_a,V_p,V_z]: (( c_lessequals(V_d,c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(V_a,V_p,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)| ~ c_lessequals(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__infinity__1(V_a,V_d,V_p),c_RealVector_Onorm__class_Onorm(V_z,tc_Complex_Ocomplex),tc_RealDef_Oreal)| V_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ))),
% 2.29/0.88 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.29/0.88 fof(f422,negated_conjecture,(
% 2.29/0.88 ~ v_thesis____ ),
% 2.29/0.88 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.29/0.88 fof(f423,negated_conjecture,(
% 2.29/0.88 (![V_xa]: (( v_thesis____| c_lessequals(V_xa,c_RealVector_Onorm__class_Onorm(v_x(V_xa),tc_Complex_Ocomplex),tc_RealDef_Oreal) ) ))),
% 2.29/0.88 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.29/0.88 fof(f424,negated_conjecture,(
% 2.29/0.88 (![V_xa]: (( v_thesis____| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_x(V_xa),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ) ))),
% 2.29/0.88 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.29/0.88 fof(f943,plain,(
% 2.29/0.88 ~v_cs____=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),
% 2.29/0.88 inference(cnf_transformation,[status(thm)],[f197])).
% 2.29/0.88 fof(f1289,plain,(
% 2.29/0.88 ![V_p]: ((![V_d,V_a,V_z]: (c_lessequals(V_d,c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(V_a,V_p,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)|~c_lessequals(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__infinity__1(V_a,V_d,V_p),c_RealVector_Onorm__class_Onorm(V_z,tc_Complex_Ocomplex),tc_RealDef_Oreal)))|V_p=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),
% 2.29/0.88 inference(miniscoping,[status(thm)],[f398])).
% 2.29/0.88 fof(f1290,plain,(
% 2.29/0.88 ![X0,X1,X2,X3]: (c_lessequals(X0,c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)|~c_lessequals(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__infinity__1(X1,X0,X2),c_RealVector_Onorm__class_Onorm(X3,tc_Complex_Ocomplex),tc_RealDef_Oreal)|X2=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),
% 2.29/0.88 inference(cnf_transformation,[status(thm)],[f1289])).
% 2.29/0.88 fof(f1325,plain,(
% 2.29/0.88 ~v_thesis____),
% 2.29/0.88 inference(cnf_transformation,[status(thm)],[f422])).
% 2.29/0.88 fof(f1326,plain,(
% 2.29/0.88 v_thesis____|(![V_xa]: c_lessequals(V_xa,c_RealVector_Onorm__class_Onorm(v_x(V_xa),tc_Complex_Ocomplex),tc_RealDef_Oreal))),
% 2.29/0.88 inference(miniscoping,[status(thm)],[f423])).
% 2.29/0.88 fof(f1327,plain,(
% 2.29/0.88 ![X0]: (v_thesis____|c_lessequals(X0,c_RealVector_Onorm__class_Onorm(v_x(X0),tc_Complex_Ocomplex),tc_RealDef_Oreal))),
% 2.29/0.88 inference(cnf_transformation,[status(thm)],[f1326])).
% 2.29/0.88 fof(f1328,plain,(
% 2.29/0.88 v_thesis____|(![V_xa]: ~c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_x(V_xa),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal))),
% 2.29/0.88 inference(miniscoping,[status(thm)],[f424])).
% 2.29/0.88 fof(f1329,plain,(
% 2.29/0.88 ![X0]: (v_thesis____|~c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_x(X0),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal))),
% 2.29/0.90 inference(cnf_transformation,[status(thm)],[f1328])).
% 2.29/0.90 fof(f1500,definition,(
% 2.29/0.90 sQ0_spl <=> (v_thesis____)),
% 2.29/0.90 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 2.29/0.90 fof(f1501,plain,(
% 2.29/0.90 v_thesis____|~sQ0_spl),
% 2.29/0.90 inference(component_clause,[status(thm)],[f1500])).
% 2.29/0.90 fof(f1511,definition,(
% 2.29/0.90 ![X0]: (sQ3_spl <=> (c_lessequals(X0,c_RealVector_Onorm__class_Onorm(v_x(X0),tc_Complex_Ocomplex),tc_RealDef_Oreal)))),
% 2.29/0.90 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 2.29/0.90 fof(f1512,plain,(
% 2.29/0.90 ![X0]: (c_lessequals(X0,c_RealVector_Onorm__class_Onorm(v_x(X0),tc_Complex_Ocomplex),tc_RealDef_Oreal)|~sQ3_spl)),
% 2.29/0.90 inference(component_clause,[status(thm)],[f1511])).
% 2.29/0.90 fof(f1514,plain,(
% 2.29/0.90 sQ0_spl|sQ3_spl),
% 2.29/0.90 inference(split_clause,[status(thm)],[f1327,f1500,f1511])).
% 2.29/0.90 fof(f1515,definition,(
% 2.29/0.90 ![X0]: (sQ4_spl <=> (~c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_x(X0),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)))),
% 2.29/0.90 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 2.29/0.90 fof(f1516,plain,(
% 2.29/0.90 ![X0]: (~c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_x(X0),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)|~sQ4_spl)),
% 2.29/0.90 inference(component_clause,[status(thm)],[f1515])).
% 2.29/0.90 fof(f1518,plain,(
% 2.29/0.90 sQ0_spl|sQ4_spl),
% 2.29/0.90 inference(split_clause,[status(thm)],[f1329,f1500,f1515])).
% 2.29/0.90 fof(f1527,plain,(
% 2.29/0.90 $false|~sQ0_spl),
% 2.29/0.90 inference(forward_subsumption_resolution,[status(thm)],[f1501,f1325])).
% 2.29/0.90 fof(f1528,plain,(
% 2.29/0.90 ~sQ0_spl),
% 2.29/0.90 inference(contradiction_clause,[status(thm)],[f1527])).
% 2.29/0.90 fof(f1877,plain,(
% 2.29/0.90 ![X0,X1,X2]: (c_lessequals(X0,c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(X1,X2,tc_Complex_Ocomplex),v_x(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__infinity__1(X1,X0,X2)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)|X2=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))|~sQ3_spl)),
% 2.29/0.90 inference(resolution,[status(thm)],[f1512,f1290])).
% 2.29/0.90 fof(f1887,definition,(
% 2.29/0.90 sQ52_spl <=> (v_cs____=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),
% 2.29/0.90 introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition])).
% 2.29/0.90 fof(f1888,plain,(
% 2.29/0.90 v_cs____=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))|~sQ52_spl),
% 2.29/0.90 inference(component_clause,[status(thm)],[f1887])).
% 2.29/0.90 fof(f1894,plain,(
% 2.29/0.90 $false|~sQ52_spl),
% 2.29/0.90 inference(forward_subsumption_resolution,[status(thm)],[f1888,f943])).
% 2.29/0.90 fof(f1895,plain,(
% 2.29/0.90 ~sQ52_spl),
% 2.29/0.90 inference(contradiction_clause,[status(thm)],[f1894])).
% 2.29/0.90 fof(f2026,plain,(
% 2.29/0.90 v_cs____=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))|~sQ3_spl|~sQ4_spl),
% 2.29/0.90 inference(resolution,[status(thm)],[f1877,f1516])).
% 2.29/0.90 fof(f2030,plain,(
% 2.29/0.90 sQ52_spl|~sQ3_spl|~sQ4_spl),
% 2.29/0.90 inference(split_clause,[status(thm)],[f2026,f1887,f1511,f1515])).
% 2.29/0.90 fof(f2031,plain,(
% 2.29/0.90 $false),
% 2.29/0.90 inference(sat_refutation,[status(thm)],[f1514,f1518,f1528,f1895,f2030])).
% 2.29/0.90 % SZS output end CNFRefutation for theBenchmark.p
% 2.29/0.92 % Elapsed time: 0.540304 seconds
% 2.29/0.92 % CPU time: 3.673413 seconds
% 2.29/0.92 % Total memory used: 159.634 MB
% 2.29/0.92 % Net memory used: 158.079 MB
%------------------------------------------------------------------------------