%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ALG429-1 : 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 : 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 11:50:10 AM UTC 2026
% Result : Unsatisfiable 0.24s 0.65s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG429-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n015.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 13:23:51 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.14/0.45 % Drodi V4.1.1
% 0.24/0.65 % Refutation found
% 0.24/0.65 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.24/0.65 % SZS output start CNFRefutation for theBenchmark
% 0.24/0.65 fof(f1155,axiom,(
% 0.24/0.65 (![V_xa]: (( c_Polynomial_Opoly(v_p,V_xa,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)| v_q != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))| v_p != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))| c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_nat)| c_Polynomial_Opoly(v_q,V_xa,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ))),
% 0.24/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.65 fof(f1156,axiom,(
% 0.24/0.65 (![V_x]: (( c_Polynomial_Opoly(v_p,V_x,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)| ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))| c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_nat)| c_Polynomial_Opoly(v_q,V_x,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ))),
% 0.24/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.65 fof(f1157,axiom,(
% 0.24/0.65 ( c_Polynomial_Opoly(v_q,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)| c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_nat)| v_q = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))| c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
% 0.24/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.65 fof(f1158,axiom,(
% 0.24/0.65 ( c_Polynomial_Opoly(v_q,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)| c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_nat)| v_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))| c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
% 0.24/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.65 fof(f1159,axiom,(
% 0.24/0.65 ( v_q = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))| c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))| c_Polynomial_Opoly(v_p,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)| c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
% 0.24/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.65 fof(f1160,axiom,(
% 0.24/0.65 ( v_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))| c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))| c_Polynomial_Opoly(v_p,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)| c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
% 0.24/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.65 fof(f1161,axiom,(
% 0.24/0.65 (![V_xa]: (( c_Polynomial_Opoly(v_p,V_xa,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)| v_q != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))| v_p != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))| c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_nat)| c_Polynomial_Opoly(v_q,V_xa,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ))),
% 0.24/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.65 fof(f1162,axiom,(
% 0.24/0.65 (![V_x]: (( c_Polynomial_Opoly(v_p,V_x,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)| ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))| c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_nat)| c_Polynomial_Opoly(v_q,V_x,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ))),
% 0.24/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.65 fof(f1163,axiom,(
% 0.24/0.65 ( c_Polynomial_Opoly(v_q,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)| c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_nat)| v_q = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))| c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
% 0.24/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.65 fof(f1164,axiom,(
% 0.24/0.65 ( c_Polynomial_Opoly(v_q,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)| c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_nat)| v_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))| c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
% 0.24/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.65 fof(f1165,axiom,(
% 0.24/0.65 ( c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_nat)| v_q = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))| c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))| c_Polynomial_Opoly(v_p,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
% 0.24/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.65 fof(f1166,axiom,(
% 0.24/0.65 ( c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_nat)| v_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))| c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))| c_Polynomial_Opoly(v_p,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
% 0.24/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.65 fof(f1167,negated_conjecture,(
% 0.24/0.65 ( ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))| c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
% 0.24/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.65 fof(f1168,negated_conjecture,(
% 0.24/0.65 ( c_Polynomial_Opoly(v_q,v_x,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)| ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
% 0.24/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.65 fof(f1169,negated_conjecture,(
% 0.24/0.65 ( v_q != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))| v_p != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))| c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
% 0.24/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.65 fof(f1170,negated_conjecture,(
% 0.24/0.65 ( v_q != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))| v_p != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))| c_Polynomial_Opoly(v_q,v_x,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
% 0.24/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.65 fof(f1171,negated_conjecture,(
% 0.24/0.65 (![V_xa]: (( c_Polynomial_Opoly(v_p,V_xa,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)| v_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))| c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))| c_Polynomial_Opoly(v_q,V_xa,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ))),
% 0.24/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.65 fof(f1172,negated_conjecture,(
% 0.24/0.65 (![V_xb]: (( c_Polynomial_Opoly(v_p,V_xb,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)| v_q = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))| c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))| c_Polynomial_Opoly(v_q,V_xb,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ))),
% 0.24/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.65 fof(f3240,plain,(
% 0.24/0.65 ![X0]: (~c_Polynomial_Opoly(v_p,X0,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~v_q=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))|~v_p=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))|c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_nat)|c_Polynomial_Opoly(v_q,X0,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))),
% 0.24/0.65 inference(cnf_transformation,[status(thm)],[f1155])).
% 0.24/0.65 fof(f3241,plain,(
% 0.24/0.65 ![X0]: (~c_Polynomial_Opoly(v_p,X0,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))|c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_nat)|c_Polynomial_Opoly(v_q,X0,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))),
% 0.24/0.65 inference(cnf_transformation,[status(thm)],[f1156])).
% 0.24/0.65 fof(f3242,plain,(
% 0.24/0.65 ~c_Polynomial_Opoly(v_q,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_nat)|v_q=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))|c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))),
% 0.24/0.65 inference(cnf_transformation,[status(thm)],[f1157])).
% 0.24/0.65 fof(f3243,plain,(
% 0.24/0.65 ~c_Polynomial_Opoly(v_q,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_nat)|v_p=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))|c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))),
% 0.24/0.65 inference(cnf_transformation,[status(thm)],[f1158])).
% 0.24/0.65 fof(f3244,plain,(
% 0.24/0.65 v_q=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))|c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))|c_Polynomial_Opoly(v_p,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_nat)),
% 0.24/0.65 inference(cnf_transformation,[status(thm)],[f1159])).
% 0.24/0.65 fof(f3245,plain,(
% 0.24/0.65 v_p=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))|c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))|c_Polynomial_Opoly(v_p,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_nat)),
% 0.24/0.65 inference(cnf_transformation,[status(thm)],[f1160])).
% 0.24/0.65 fof(f3246,plain,(
% 0.24/0.65 ![X0]: (~c_Polynomial_Opoly(v_p,X0,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~v_q=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))|~v_p=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))|~c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_nat)|c_Polynomial_Opoly(v_q,X0,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))),
% 0.24/0.65 inference(cnf_transformation,[status(thm)],[f1161])).
% 0.24/0.65 fof(f3247,plain,(
% 0.24/0.65 ![X0]: (~c_Polynomial_Opoly(v_p,X0,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))|~c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_nat)|c_Polynomial_Opoly(v_q,X0,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))),
% 0.24/0.65 inference(cnf_transformation,[status(thm)],[f1162])).
% 0.24/0.65 fof(f3248,plain,(
% 0.24/0.65 ~c_Polynomial_Opoly(v_q,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_nat)|v_q=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))|c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))),
% 0.24/0.65 inference(cnf_transformation,[status(thm)],[f1163])).
% 0.24/0.65 fof(f3249,plain,(
% 0.24/0.65 ~c_Polynomial_Opoly(v_q,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_nat)|v_p=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))|c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))),
% 0.24/0.65 inference(cnf_transformation,[status(thm)],[f1164])).
% 0.24/0.65 fof(f3250,plain,(
% 0.24/0.65 ~c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_nat)|v_q=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))|c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))|c_Polynomial_Opoly(v_p,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)),
% 0.24/0.65 inference(cnf_transformation,[status(thm)],[f1165])).
% 0.24/0.65 fof(f3251,plain,(
% 0.24/0.65 ~c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_nat)|v_p=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))|c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))|c_Polynomial_Opoly(v_p,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)),
% 0.24/0.65 inference(cnf_transformation,[status(thm)],[f1166])).
% 0.24/0.65 fof(f3252,plain,(
% 0.24/0.65 ~c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))|c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)),
% 0.24/0.65 inference(cnf_transformation,[status(thm)],[f1167])).
% 0.24/0.65 fof(f3253,plain,(
% 0.24/0.65 ~c_Polynomial_Opoly(v_q,v_x,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))),
% 0.24/0.65 inference(cnf_transformation,[status(thm)],[f1168])).
% 0.24/0.65 fof(f3254,plain,(
% 0.24/0.65 ~v_q=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))|~v_p=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))|c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)),
% 0.24/0.65 inference(cnf_transformation,[status(thm)],[f1169])).
% 0.24/0.65 fof(f3255,plain,(
% 0.24/0.65 ~v_q=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))|~v_p=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))|~c_Polynomial_Opoly(v_q,v_x,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)),
% 0.24/0.65 inference(cnf_transformation,[status(thm)],[f1170])).
% 0.24/0.65 fof(f3256,plain,(
% 0.24/0.65 ![X0]: (~c_Polynomial_Opoly(v_p,X0,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|v_p=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))|c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))|c_Polynomial_Opoly(v_q,X0,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))),
% 0.24/0.65 inference(cnf_transformation,[status(thm)],[f1171])).
% 0.24/0.65 fof(f3257,plain,(
% 0.24/0.65 ![X0]: (~c_Polynomial_Opoly(v_p,X0,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|v_q=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))|c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))|c_Polynomial_Opoly(v_q,X0,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))),
% 0.24/0.65 inference(cnf_transformation,[status(thm)],[f1172])).
% 0.24/0.65 fof(f3448,definition,(
% 0.24/0.65 ![X0]: (sQ2_spl <=> (~c_Polynomial_Opoly(v_p,X0,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|c_Polynomial_Opoly(v_q,X0,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)))),
% 0.24/0.65 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.24/0.65 fof(f3449,plain,(
% 0.24/0.65 ![X0]: (~c_Polynomial_Opoly(v_p,X0,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|c_Polynomial_Opoly(v_q,X0,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~sQ2_spl)),
% 0.24/0.65 inference(component_clause,[status(thm)],[f3448])).
% 0.24/0.65 fof(f3451,definition,(
% 0.24/0.65 sQ3_spl <=> (v_q=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),
% 0.24/0.65 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.24/0.65 fof(f3454,definition,(
% 0.24/0.65 sQ4_spl <=> (v_p=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),
% 0.24/0.65 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.24/0.65 fof(f3457,definition,(
% 0.24/0.65 sQ5_spl <=> (c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_nat))),
% 0.24/0.65 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.24/0.65 fof(f3460,plain,(
% 0.24/0.65 sQ2_spl|~sQ3_spl|~sQ4_spl|sQ5_spl),
% 0.24/0.65 inference(split_clause,[status(thm)],[f3240,f3448,f3451,f3454,f3457])).
% 0.24/0.65 fof(f3461,definition,(
% 0.24/0.65 sQ6_spl <=> (c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),
% 0.24/0.65 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.24/0.65 fof(f3464,plain,(
% 0.24/0.65 sQ2_spl|~sQ6_spl|sQ5_spl),
% 0.24/0.65 inference(split_clause,[status(thm)],[f3241,f3448,f3461,f3457])).
% 0.24/0.65 fof(f3465,definition,(
% 0.24/0.65 sQ7_spl <=> (c_Polynomial_Opoly(v_q,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))),
% 0.24/0.65 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.24/0.65 fof(f3468,plain,(
% 0.24/0.65 ~sQ7_spl|sQ5_spl|sQ3_spl|sQ6_spl),
% 0.24/0.65 inference(split_clause,[status(thm)],[f3242,f3465,f3457,f3451,f3461])).
% 0.24/0.65 fof(f3469,plain,(
% 0.24/0.65 ~sQ7_spl|sQ5_spl|sQ4_spl|sQ6_spl),
% 0.24/0.65 inference(split_clause,[status(thm)],[f3243,f3465,f3457,f3454,f3461])).
% 0.24/0.65 fof(f3470,definition,(
% 0.24/0.65 sQ8_spl <=> (c_Polynomial_Opoly(v_p,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))),
% 0.24/0.65 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.24/0.65 fof(f3471,plain,(
% 0.24/0.65 c_Polynomial_Opoly(v_p,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~sQ8_spl),
% 0.24/0.65 inference(component_clause,[status(thm)],[f3470])).
% 0.24/0.65 fof(f3473,plain,(
% 0.24/0.65 sQ3_spl|sQ6_spl|sQ8_spl|sQ5_spl),
% 0.24/0.65 inference(split_clause,[status(thm)],[f3244,f3451,f3461,f3470,f3457])).
% 0.24/0.65 fof(f3474,plain,(
% 0.24/0.65 sQ4_spl|sQ6_spl|sQ8_spl|sQ5_spl),
% 0.24/0.65 inference(split_clause,[status(thm)],[f3245,f3454,f3461,f3470,f3457])).
% 0.24/0.65 fof(f3475,plain,(
% 0.24/0.65 sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.24/0.65 inference(split_clause,[status(thm)],[f3246,f3448,f3451,f3454,f3457])).
% 0.24/0.65 fof(f3476,plain,(
% 0.24/0.65 sQ2_spl|~sQ6_spl|~sQ5_spl),
% 0.24/0.65 inference(split_clause,[status(thm)],[f3247,f3448,f3461,f3457])).
% 0.24/0.65 fof(f3477,plain,(
% 0.24/0.65 ~sQ7_spl|~sQ5_spl|sQ3_spl|sQ6_spl),
% 0.24/0.65 inference(split_clause,[status(thm)],[f3248,f3465,f3457,f3451,f3461])).
% 0.24/0.65 fof(f3478,plain,(
% 0.24/0.65 ~sQ7_spl|~sQ5_spl|sQ4_spl|sQ6_spl),
% 0.24/0.65 inference(split_clause,[status(thm)],[f3249,f3465,f3457,f3454,f3461])).
% 0.24/0.65 fof(f3479,plain,(
% 0.24/0.65 ~sQ5_spl|sQ3_spl|sQ6_spl|sQ8_spl),
% 0.24/0.65 inference(split_clause,[status(thm)],[f3250,f3457,f3451,f3461,f3470])).
% 0.24/0.65 fof(f3480,plain,(
% 0.24/0.65 ~sQ5_spl|sQ4_spl|sQ6_spl|sQ8_spl),
% 0.24/0.65 inference(split_clause,[status(thm)],[f3251,f3457,f3454,f3461,f3470])).
% 0.24/0.65 fof(f3481,definition,(
% 0.24/0.65 sQ9_spl <=> (c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))),
% 0.24/0.65 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.24/0.65 fof(f3482,plain,(
% 0.24/0.65 c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~sQ9_spl),
% 0.24/0.65 inference(component_clause,[status(thm)],[f3481])).
% 0.24/0.65 fof(f3484,plain,(
% 0.24/0.65 ~sQ6_spl|sQ9_spl),
% 0.24/0.65 inference(split_clause,[status(thm)],[f3252,f3461,f3481])).
% 0.24/0.65 fof(f3485,definition,(
% 0.24/0.65 sQ10_spl <=> (c_Polynomial_Opoly(v_q,v_x,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))),
% 0.24/0.65 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.24/0.65 fof(f3487,plain,(
% 0.24/0.65 ~c_Polynomial_Opoly(v_q,v_x,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|sQ10_spl),
% 0.24/0.65 inference(component_clause,[status(thm)],[f3485])).
% 0.24/0.65 fof(f3488,plain,(
% 0.24/0.65 ~sQ10_spl|~sQ6_spl),
% 0.24/0.65 inference(split_clause,[status(thm)],[f3253,f3485,f3461])).
% 0.24/0.65 fof(f3489,plain,(
% 0.24/0.65 ~sQ3_spl|~sQ4_spl|sQ9_spl),
% 0.24/0.65 inference(split_clause,[status(thm)],[f3254,f3451,f3454,f3481])).
% 0.24/0.65 fof(f3490,plain,(
% 0.24/0.65 ~sQ3_spl|~sQ4_spl|~sQ10_spl),
% 0.24/0.65 inference(split_clause,[status(thm)],[f3255,f3451,f3454,f3485])).
% 0.24/0.65 fof(f3491,plain,(
% 0.24/0.65 sQ2_spl|sQ4_spl|sQ6_spl),
% 0.24/0.65 inference(split_clause,[status(thm)],[f3256,f3448,f3454,f3461])).
% 0.24/0.65 fof(f3492,plain,(
% 0.24/0.65 sQ2_spl|sQ3_spl|sQ6_spl),
% 0.24/0.65 inference(split_clause,[status(thm)],[f3257,f3448,f3451,f3461])).
% 0.24/0.65 fof(f3496,plain,(
% 0.24/0.65 c_Polynomial_Opoly(v_q,v_x,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~sQ2_spl|~sQ9_spl),
% 0.24/0.65 inference(resolution,[status(thm)],[f3449,f3482])).
% 0.24/0.65 fof(f3498,plain,(
% 0.24/0.65 $false|sQ10_spl|~sQ2_spl|~sQ9_spl),
% 0.24/0.65 inference(forward_subsumption_resolution,[status(thm)],[f3496,f3487])).
% 0.24/0.65 fof(f3499,plain,(
% 0.24/0.65 sQ10_spl|~sQ2_spl|~sQ9_spl),
% 0.24/0.65 inference(contradiction_clause,[status(thm)],[f3498])).
% 0.24/0.65 fof(f3508,plain,(
% 0.24/0.65 ~c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|c_Polynomial_Opoly(v_q,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~sQ2_spl|~sQ8_spl),
% 0.24/0.65 inference(paramodulation,[status(thm)],[f3471,f3449])).
% 0.24/0.65 fof(f3509,definition,(
% 0.24/0.66 sQ11_spl <=> (c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))),
% 0.24/0.66 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.24/0.66 fof(f3511,plain,(
% 0.24/0.66 ~c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|sQ11_spl),
% 0.24/0.66 inference(component_clause,[status(thm)],[f3509])).
% 0.24/0.66 fof(f3512,plain,(
% 0.24/0.66 ~sQ11_spl|sQ7_spl|~sQ2_spl|~sQ8_spl),
% 0.24/0.66 inference(split_clause,[status(thm)],[f3508,f3509,f3465,f3448,f3470])).
% 0.24/0.66 fof(f3513,plain,(
% 0.24/0.66 $false|sQ11_spl),
% 0.24/0.66 inference(trivial_equality_resolution,[status(thm)],[f3511])).
% 0.24/0.66 fof(f3514,plain,(
% 0.24/0.66 sQ11_spl),
% 0.24/0.66 inference(contradiction_clause,[status(thm)],[f3513])).
% 0.24/0.66 fof(f3515,plain,(
% 0.24/0.66 $false),
% 0.24/0.66 inference(sat_refutation,[status(thm)],[f3460,f3464,f3468,f3469,f3473,f3474,f3475,f3476,f3477,f3478,f3479,f3480,f3484,f3488,f3489,f3490,f3491,f3492,f3499,f3512,f3514])).
% 0.24/0.66 % SZS output end CNFRefutation for theBenchmark.p
% 1.19/0.71 % Elapsed time: 0.341730 seconds
% 1.19/0.71 % CPU time: 1.625974 seconds
% 1.19/0.71 % Total memory used: 194.878 MB
% 1.19/0.71 % Net memory used: 193.578 MB
%------------------------------------------------------------------------------