TSTP Solution File: ALG400-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG400-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:11:30 EDT 2024
% Result : Unsatisfiable 2.45s 0.71s
% Output : CNFRefutation 2.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG400-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 23:30:34 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.39 % Drodi V3.6.0
% 2.45/0.71 % Refutation found
% 2.45/0.71 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.45/0.71 % SZS output start CNFRefutation for theBenchmark
% 2.45/0.71 fof(f125,axiom,(
% 2.45/0.71 (![T_a,V_y,V_x]: (( ~ class_Orderings_Olinorder(T_a)| c_HOL_Oord__class_Oless(V_y,V_x,T_a)| c_lessequals(V_x,V_y,T_a) ) ))),
% 2.45/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.45/0.71 fof(f196,axiom,(
% 2.45/0.71 (![T_a,V_c,V_a]: (( ~ class_Ring__and__Field_Ofield(T_a)| V_c = c_HOL_Ozero__class_Ozero(T_a)| V_a = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) ) ))),
% 2.45/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.45/0.71 fof(f217,axiom,(
% 2.45/0.71 (![T_a,V_a,V_b]: (( ~ class_Ring__and__Field_Ofield(T_a)| c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ))),
% 2.45/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.45/0.71 fof(f220,axiom,(
% 2.45/0.71 (![V_x,V_y]: (c_HOL_Oinverse__class_Odivide(V_x,V_y,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oinverse__class_Oinverse(V_y,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ))),
% 2.45/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.45/0.71 fof(f264,axiom,(
% 2.45/0.71 (![T_a,V_x]: (( ~ class_Ring__and__Field_Oordered__field(T_a)| ~ class_Ring__and__Field_Odivision__by__zero(T_a)| c_lessequals(c_HOL_Oone__class_Oone(T_a),V_x,T_a)| c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)| ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ))),
% 2.45/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.45/0.71 fof(f360,axiom,(
% 2.45/0.71 (![T_a,V_x]: (( ~ class_Orderings_Opreorder(T_a)| c_lessequals(V_x,V_x,T_a) ) ))),
% 2.45/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.45/0.71 fof(f364,axiom,(
% 2.45/0.71 (![T_a,V_y,V_x]: (( ~ class_Orderings_Olinorder(T_a)| c_lessequals(V_y,V_x,T_a)| c_lessequals(V_x,V_y,T_a) ) ))),
% 2.45/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.45/0.71 fof(f369,axiom,(
% 2.45/0.71 (![T_a,V_x]: (( ~ class_Ring__and__Field_Oordered__field(T_a)| ~ class_Ring__and__Field_Odivision__by__zero(T_a)| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a)| ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ))),
% 2.45/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.45/0.71 fof(f370,axiom,(
% 2.45/0.71 (![T_a,V_x]: (( ~ class_Ring__and__Field_Oordered__field(T_a)| ~ class_Ring__and__Field_Odivision__by__zero(T_a)| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)| ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ))),
% 2.45/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.45/0.71 fof(f373,axiom,(
% 2.45/0.71 (![V_z]: (c_Polynomial_Opoly(v_q____,V_z,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ))),
% 2.45/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.45/0.71 fof(f386,axiom,(
% 2.45/0.71 (![T_a,V_b]: (( ~ class_Ring__and__Field_Oordered__field(T_a)| ~ class_Ring__and__Field_Odivision__by__zero(T_a)| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),T_a) ) ))),
% 2.45/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.45/0.71 fof(f393,axiom,(
% 2.45/0.71 (![T_a,V_a]: (( ~ class_Ring__and__Field_Oordered__field(T_a)| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ))),
% 2.45/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.45/0.71 fof(f395,axiom,(
% 2.45/0.71 (![T_a,V_a]: (( ~ class_Ring__and__Field_Oordered__field(T_a)| ~ class_Ring__and__Field_Odivision__by__zero(T_a)| c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ))),
% 2.45/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.45/0.71 fof(f397,axiom,(
% 2.45/0.71 (![V_x]: (~ c_HOL_Oord__class_Oless(V_x,V_x,tc_RealDef_Oreal) ))),
% 2.45/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.45/0.71 fof(f402,axiom,(
% 2.45/0.71 (![T_a,V_b]: (( ~ class_Ring__and__Field_Oordered__field(T_a)| ~ class_Ring__and__Field_Odivision__by__zero(T_a)| c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ))),
% 2.45/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.45/0.71 fof(f403,axiom,(
% 2.45/0.71 (![T_a,V_b,V_a]: (( ~ class_Ring__and__Field_Oordered__field(T_a)| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)| ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ))),
% 2.45/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.45/0.71 fof(f404,axiom,(
% 2.45/0.71 (![T_a,V_b,V_a]: (( ~ class_Ring__and__Field_Oordered__field(T_a)| c_HOL_Oord__class_Oless(V_b,V_a,T_a)| ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ))),
% 2.45/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.45/0.71 fof(f405,axiom,(
% 2.45/0.71 (![T_a,V_b,V_a]: (( ~ class_Ring__and__Field_Oordered__field(T_a)| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ))),
% 2.45/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.45/0.71 fof(f406,axiom,(
% 2.45/0.71 (![T_a,V_b,V_a]: (( ~ class_Ring__and__Field_Oordered__field(T_a)| c_HOL_Oord__class_Oless(V_b,V_a,T_a)| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ))),
% 2.45/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.45/0.71 fof(f415,axiom,(
% 2.45/0.71 c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 2.45/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.45/0.71 fof(f416,axiom,(
% 2.45/0.71 (![T_a,V_x]: (( ~ class_Ring__and__Field_Oordered__field(T_a)| ~ class_Ring__and__Field_Odivision__by__zero(T_a)| c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(T_a),T_a)| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ))),
% 2.45/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.45/0.71 fof(f438,axiom,(
% 2.45/0.71 (![T_a,V_x]: (( ~ class_Ring__and__Field_Oordered__field(T_a)| ~ class_Ring__and__Field_Odivision__by__zero(T_a)| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ))),
% 2.45/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.45/0.71 fof(f460,axiom,(
% 2.45/0.71 (![T_a,V_a]: (( ~ class_Ring__and__Field_Oordered__field(T_a)| ~ class_Ring__and__Field_Odivision__by__zero(T_a)| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ))),
% 2.45/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.45/0.71 fof(f467,negated_conjecture,(
% 2.45/0.71 ( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_Polynomial_Opoly(v_q____,v_w____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
% 2.45/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.45/0.71 fof(f468,negated_conjecture,(
% 2.45/0.71 ( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_Polynomial_Opoly(v_q____,v_w____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
% 2.45/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.45/0.71 fof(f535,axiom,(
% 2.45/0.71 class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ),
% 2.45/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.45/0.71 fof(f543,axiom,(
% 2.45/0.71 class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
% 2.45/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.45/0.71 fof(f553,axiom,(
% 2.45/0.71 class_Orderings_Opreorder(tc_RealDef_Oreal) ),
% 2.45/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.45/0.71 fof(f554,axiom,(
% 2.45/0.71 class_Orderings_Olinorder(tc_RealDef_Oreal) ),
% 2.45/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.45/0.71 fof(f574,axiom,(
% 2.45/0.71 class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
% 2.45/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.45/0.71 fof(f804,plain,(
% 2.45/0.71 ![X0,X1,X2]: (~class_Orderings_Olinorder(X0)|c_HOL_Oord__class_Oless(X1,X2,X0)|c_lessequals(X2,X1,X0))),
% 2.45/0.71 inference(cnf_transformation,[status(esa)],[f125])).
% 2.45/0.71 fof(f908,plain,(
% 2.45/0.71 ![T_a,V_c]: ((~class_Ring__and__Field_Ofield(T_a)|V_c=c_HOL_Ozero__class_Ozero(T_a))|(![V_a]: V_a=c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a)))),
% 2.45/0.71 inference(miniscoping,[status(esa)],[f196])).
% 2.45/0.71 fof(f909,plain,(
% 2.45/0.71 ![X0,X1,X2]: (~class_Ring__and__Field_Ofield(X0)|X1=c_HOL_Ozero__class_Ozero(X0)|X2=c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X1,X0),X1,X0))),
% 2.45/0.71 inference(cnf_transformation,[status(esa)],[f908])).
% 2.45/0.71 fof(f941,plain,(
% 2.45/0.71 ![T_a]: (~class_Ring__and__Field_Ofield(T_a)|(![V_a,V_b]: c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)=c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a)))),
% 2.45/0.71 inference(miniscoping,[status(esa)],[f217])).
% 2.45/0.71 fof(f942,plain,(
% 2.45/0.71 ![X0,X1,X2]: (~class_Ring__and__Field_Ofield(X0)|c_HOL_Oinverse__class_Odivide(X1,X2,X0)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X0),X0))),
% 2.45/0.71 inference(cnf_transformation,[status(esa)],[f941])).
% 2.45/0.71 fof(f947,plain,(
% 2.45/0.71 ![X0,X1]: (c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex)=c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex))),
% 2.45/0.71 inference(cnf_transformation,[status(esa)],[f220])).
% 2.45/0.71 fof(f1010,plain,(
% 2.45/0.71 ![X0,X1]: (~class_Ring__and__Field_Oordered__field(X0)|~class_Ring__and__Field_Odivision__by__zero(X0)|c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)|c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)|~c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0))),
% 2.45/0.71 inference(cnf_transformation,[status(esa)],[f264])).
% 2.45/0.71 fof(f1183,plain,(
% 2.45/0.71 ![T_a]: (~class_Orderings_Opreorder(T_a)|(![V_x]: c_lessequals(V_x,V_x,T_a)))),
% 2.45/0.71 inference(miniscoping,[status(esa)],[f360])).
% 2.45/0.71 fof(f1184,plain,(
% 2.45/0.71 ![X0,X1]: (~class_Orderings_Opreorder(X0)|c_lessequals(X1,X1,X0))),
% 2.45/0.71 inference(cnf_transformation,[status(esa)],[f1183])).
% 2.45/0.71 fof(f1191,plain,(
% 2.45/0.71 ![X0,X1,X2]: (~class_Orderings_Olinorder(X0)|c_lessequals(X1,X2,X0)|c_lessequals(X2,X1,X0))),
% 2.45/0.71 inference(cnf_transformation,[status(esa)],[f364])).
% 2.45/0.71 fof(f1198,plain,(
% 2.45/0.71 ![X0,X1]: (~class_Ring__and__Field_Oordered__field(X0)|~class_Ring__and__Field_Odivision__by__zero(X0)|c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0))),
% 2.45/0.71 inference(cnf_transformation,[status(esa)],[f369])).
% 2.45/0.71 fof(f1199,plain,(
% 2.45/0.71 ![X0,X1]: (~class_Ring__and__Field_Oordered__field(X0)|~class_Ring__and__Field_Odivision__by__zero(X0)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)|~c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0))),
% 2.45/0.71 inference(cnf_transformation,[status(esa)],[f370])).
% 2.45/0.71 fof(f1202,plain,(
% 2.45/0.71 ![X0]: (c_Polynomial_Opoly(v_q____,X0,tc_Complex_Ocomplex)=c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex))),
% 2.45/0.71 inference(cnf_transformation,[status(esa)],[f373])).
% 2.45/0.71 fof(f1220,plain,(
% 2.45/0.71 ![X0,X1]: (~class_Ring__and__Field_Oordered__field(X0)|~class_Ring__and__Field_Odivision__by__zero(X0)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0))),
% 2.45/0.71 inference(cnf_transformation,[status(esa)],[f386])).
% 2.45/0.71 fof(f1227,plain,(
% 2.45/0.71 ![X0,X1]: (~class_Ring__and__Field_Oordered__field(X0)|c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0))),
% 2.45/0.71 inference(cnf_transformation,[status(esa)],[f393])).
% 2.45/0.71 fof(f1229,plain,(
% 2.45/0.71 ![X0,X1]: (~class_Ring__and__Field_Oordered__field(X0)|~class_Ring__and__Field_Odivision__by__zero(X0)|c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0))),
% 2.45/0.71 inference(cnf_transformation,[status(esa)],[f395])).
% 2.45/0.71 fof(f1232,plain,(
% 2.45/0.71 ![X0]: (~c_HOL_Oord__class_Oless(X0,X0,tc_RealDef_Oreal))),
% 2.45/0.71 inference(cnf_transformation,[status(esa)],[f397])).
% 2.45/0.71 fof(f1239,plain,(
% 2.45/0.71 ![X0,X1]: (~class_Ring__and__Field_Oordered__field(X0)|~class_Ring__and__Field_Odivision__by__zero(X0)|c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0))),
% 2.45/0.71 inference(cnf_transformation,[status(esa)],[f402])).
% 2.45/0.71 fof(f1240,plain,(
% 2.45/0.71 ![X0,X1,X2]: (~class_Ring__and__Field_Oordered__field(X0)|c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)|~c_HOL_Oord__class_Oless(X2,X1,X0))),
% 2.45/0.71 inference(cnf_transformation,[status(esa)],[f403])).
% 2.45/0.71 fof(f1241,plain,(
% 2.45/0.71 ![X0,X1,X2]: (~class_Ring__and__Field_Oordered__field(X0)|c_HOL_Oord__class_Oless(X1,X2,X0)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0))),
% 2.45/0.71 inference(cnf_transformation,[status(esa)],[f404])).
% 2.45/0.71 fof(f1242,plain,(
% 2.45/0.71 ![X0,X1,X2]: (~class_Ring__and__Field_Oordered__field(X0)|c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)|~c_HOL_Oord__class_Oless(X2,X1,X0))),
% 2.45/0.71 inference(cnf_transformation,[status(esa)],[f405])).
% 2.45/0.71 fof(f1243,plain,(
% 2.45/0.71 ![X0,X1,X2]: (~class_Ring__and__Field_Oordered__field(X0)|c_HOL_Oord__class_Oless(X1,X2,X0)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0))),
% 2.45/0.71 inference(cnf_transformation,[status(esa)],[f406])).
% 2.45/0.71 fof(f1255,plain,(
% 2.45/0.71 ~c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)),
% 2.45/0.71 inference(cnf_transformation,[status(esa)],[f415])).
% 2.45/0.71 fof(f1256,plain,(
% 2.45/0.71 ![X0,X1]: (~class_Ring__and__Field_Oordered__field(X0)|~class_Ring__and__Field_Odivision__by__zero(X0)|c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0))),
% 2.45/0.71 inference(cnf_transformation,[status(esa)],[f416])).
% 2.45/0.71 fof(f1293,plain,(
% 2.45/0.71 ![X0,X1]: (~class_Ring__and__Field_Oordered__field(X0)|~class_Ring__and__Field_Odivision__by__zero(X0)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0))),
% 2.45/0.71 inference(cnf_transformation,[status(esa)],[f438])).
% 2.45/0.71 fof(f1326,plain,(
% 2.45/0.71 ![X0,X1]: (~class_Ring__and__Field_Oordered__field(X0)|~class_Ring__and__Field_Odivision__by__zero(X0)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0))),
% 2.45/0.71 inference(cnf_transformation,[status(esa)],[f460])).
% 2.45/0.71 fof(f1335,plain,(
% 2.45/0.71 ~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_Polynomial_Opoly(v_q____,v_w____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.45/0.71 inference(cnf_transformation,[status(esa)],[f467])).
% 2.45/0.71 fof(f1336,plain,(
% 2.45/0.71 c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_Polynomial_Opoly(v_q____,v_w____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.45/0.71 inference(cnf_transformation,[status(esa)],[f468])).
% 2.45/0.71 fof(f1403,plain,(
% 2.45/0.71 class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)),
% 2.45/0.71 inference(cnf_transformation,[status(esa)],[f535])).
% 2.45/0.71 fof(f1411,plain,(
% 2.45/0.71 class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal)),
% 2.45/0.71 inference(cnf_transformation,[status(esa)],[f543])).
% 2.45/0.71 fof(f1421,plain,(
% 2.45/0.71 class_Orderings_Opreorder(tc_RealDef_Oreal)),
% 2.45/0.71 inference(cnf_transformation,[status(esa)],[f553])).
% 2.45/0.71 fof(f1422,plain,(
% 2.45/0.71 class_Orderings_Olinorder(tc_RealDef_Oreal)),
% 2.45/0.71 inference(cnf_transformation,[status(esa)],[f554])).
% 2.45/0.71 fof(f1442,plain,(
% 2.45/0.71 class_Ring__and__Field_Ofield(tc_Complex_Ocomplex)),
% 2.45/0.71 inference(cnf_transformation,[status(esa)],[f574])).
% 2.45/0.71 fof(f1473,plain,(
% 2.45/0.71 spl0_0 <=> c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_Polynomial_Opoly(v_q____,v_w____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.45/0.71 introduced(split_symbol_definition)).
% 2.45/0.71 fof(f1475,plain,(
% 2.45/0.71 ~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_Polynomial_Opoly(v_q____,v_w____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_0),
% 2.45/0.71 inference(component_clause,[status(thm)],[f1473])).
% 2.45/0.71 fof(f1476,plain,(
% 2.45/0.71 spl0_1 <=> c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.45/0.71 introduced(split_symbol_definition)).
% 2.45/0.71 fof(f1477,plain,(
% 2.45/0.71 c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_1),
% 2.45/0.71 inference(component_clause,[status(thm)],[f1476])).
% 2.45/0.71 fof(f1478,plain,(
% 2.45/0.71 ~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_1),
% 2.45/0.71 inference(component_clause,[status(thm)],[f1476])).
% 2.45/0.71 fof(f1479,plain,(
% 2.45/0.71 ~spl0_0|~spl0_1),
% 2.45/0.71 inference(split_clause,[status(thm)],[f1335,f1473,f1476])).
% 2.45/0.71 fof(f1480,plain,(
% 2.45/0.71 spl0_1|spl0_0),
% 2.45/0.71 inference(split_clause,[status(thm)],[f1336,f1476,f1473])).
% 2.45/0.71 fof(f1482,plain,(
% 2.45/0.71 spl0_2 <=> class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal)),
% 2.45/0.71 introduced(split_symbol_definition)).
% 2.45/0.71 fof(f1484,plain,(
% 2.45/0.71 ~class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal)|spl0_2),
% 2.45/0.71 inference(component_clause,[status(thm)],[f1482])).
% 2.45/0.71 fof(f1485,plain,(
% 2.45/0.71 spl0_3 <=> class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)),
% 2.45/0.71 introduced(split_symbol_definition)).
% 2.45/0.71 fof(f1487,plain,(
% 2.45/0.71 ~class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)|spl0_3),
% 2.45/0.71 inference(component_clause,[status(thm)],[f1485])).
% 2.45/0.71 fof(f1488,plain,(
% 2.45/0.71 spl0_4 <=> c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.45/0.71 introduced(split_symbol_definition)).
% 2.45/0.71 fof(f1490,plain,(
% 2.45/0.71 ~c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_4),
% 2.45/0.71 inference(component_clause,[status(thm)],[f1488])).
% 2.45/0.71 fof(f1491,plain,(
% 2.45/0.71 ~class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal)|~class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)|~c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.45/0.71 inference(resolution,[status(thm)],[f1199,f1232])).
% 2.45/0.71 fof(f1492,plain,(
% 2.45/0.71 ~spl0_2|~spl0_3|~spl0_4),
% 2.45/0.71 inference(split_clause,[status(thm)],[f1491,f1482,f1485,f1488])).
% 2.45/0.71 fof(f1493,plain,(
% 2.45/0.71 spl0_5 <=> c_lessequals(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.45/0.71 introduced(split_symbol_definition)).
% 2.45/0.71 fof(f1496,plain,(
% 2.45/0.71 spl0_6 <=> c_lessequals(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.45/0.71 introduced(split_symbol_definition)).
% 2.45/0.71 fof(f1499,plain,(
% 2.45/0.71 ~class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal)|~class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)|c_lessequals(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_4),
% 2.45/0.71 inference(resolution,[status(thm)],[f1490,f1010])).
% 2.45/0.71 fof(f1500,plain,(
% 2.45/0.71 ~spl0_2|~spl0_3|spl0_5|~spl0_6|spl0_4),
% 2.45/0.71 inference(split_clause,[status(thm)],[f1499,f1482,f1485,f1493,f1496,f1488])).
% 2.45/0.71 fof(f1501,plain,(
% 2.45/0.71 spl0_7 <=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.45/0.71 introduced(split_symbol_definition)).
% 2.45/0.71 fof(f1503,plain,(
% 2.45/0.71 ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_7),
% 2.45/0.71 inference(component_clause,[status(thm)],[f1501])).
% 2.45/0.71 fof(f1514,plain,(
% 2.45/0.71 $false|spl0_3),
% 2.45/0.71 inference(forward_subsumption_resolution,[status(thm)],[f1487,f1403])).
% 2.45/0.71 fof(f1515,plain,(
% 2.45/0.71 spl0_3),
% 2.45/0.71 inference(contradiction_clause,[status(thm)],[f1514])).
% 2.45/0.71 fof(f1516,plain,(
% 2.45/0.71 $false|spl0_2),
% 2.45/0.71 inference(forward_subsumption_resolution,[status(thm)],[f1484,f1411])).
% 2.45/0.71 fof(f1517,plain,(
% 2.45/0.71 spl0_2),
% 2.45/0.71 inference(contradiction_clause,[status(thm)],[f1516])).
% 2.45/0.71 fof(f1518,plain,(
% 2.45/0.71 spl0_10 <=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.45/0.71 introduced(split_symbol_definition)).
% 2.45/0.71 fof(f1523,plain,(
% 2.45/0.71 spl0_11 <=> c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.45/0.71 introduced(split_symbol_definition)).
% 2.45/0.71 fof(f1525,plain,(
% 2.45/0.71 ~c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_11),
% 2.45/0.71 inference(component_clause,[status(thm)],[f1523])).
% 2.45/0.71 fof(f1526,plain,(
% 2.45/0.71 ~class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal)|~class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)|~c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_7),
% 2.45/0.71 inference(resolution,[status(thm)],[f1503,f1199])).
% 2.45/0.71 fof(f1527,plain,(
% 2.45/0.71 ~spl0_2|~spl0_3|~spl0_11|spl0_7),
% 2.45/0.71 inference(split_clause,[status(thm)],[f1526,f1482,f1485,f1523,f1501])).
% 2.45/0.71 fof(f1538,plain,(
% 2.45/0.71 spl0_12 <=> c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.45/0.71 introduced(split_symbol_definition)).
% 2.45/0.71 fof(f1551,plain,(
% 2.45/0.71 spl0_15 <=> c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.45/0.71 introduced(split_symbol_definition)).
% 2.45/0.71 fof(f1553,plain,(
% 2.45/0.71 ~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_15),
% 2.45/0.71 inference(component_clause,[status(thm)],[f1551])).
% 2.45/0.71 fof(f1571,plain,(
% 2.45/0.71 spl0_19 <=> c_lessequals(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.45/0.71 introduced(split_symbol_definition)).
% 2.45/0.71 fof(f1581,plain,(
% 2.45/0.71 spl0_21 <=> c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.45/0.71 introduced(split_symbol_definition)).
% 2.45/0.71 fof(f1583,plain,(
% 2.45/0.71 ~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_21),
% 2.45/0.71 inference(component_clause,[status(thm)],[f1581])).
% 2.45/0.71 fof(f1616,plain,(
% 2.45/0.71 spl0_28 <=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.45/0.71 introduced(split_symbol_definition)).
% 2.45/0.71 fof(f1618,plain,(
% 2.45/0.71 ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_28),
% 2.45/0.71 inference(component_clause,[status(thm)],[f1616])).
% 2.45/0.71 fof(f1647,plain,(
% 2.45/0.71 ~class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal)|~class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)|~c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_28),
% 2.45/0.71 inference(resolution,[status(thm)],[f1618,f1199])).
% 2.45/0.71 fof(f1648,plain,(
% 2.45/0.71 ~spl0_2|~spl0_3|~spl0_12|spl0_28),
% 2.45/0.71 inference(split_clause,[status(thm)],[f1647,f1482,f1485,f1538,f1616])).
% 2.45/0.71 fof(f1649,plain,(
% 2.45/0.71 ~class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal)|~class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.45/0.71 inference(resolution,[status(thm)],[f1229,f1232])).
% 2.45/0.71 fof(f1650,plain,(
% 2.45/0.71 ~spl0_2|~spl0_3|~spl0_21),
% 2.45/0.71 inference(split_clause,[status(thm)],[f1649,f1482,f1485,f1581])).
% 2.45/0.71 fof(f1651,plain,(
% 2.45/0.71 spl0_33 <=> c_lessequals(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.45/0.71 introduced(split_symbol_definition)).
% 2.45/0.71 fof(f1669,plain,(
% 2.45/0.71 ~class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_21),
% 2.45/0.71 inference(resolution,[status(thm)],[f1583,f1227])).
% 2.45/0.71 fof(f1670,plain,(
% 2.45/0.71 ~spl0_2|~spl0_10|spl0_21),
% 2.45/0.71 inference(split_clause,[status(thm)],[f1669,f1482,f1518,f1581])).
% 2.45/0.71 fof(f1671,plain,(
% 2.45/0.71 ~class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal)|~class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_21),
% 2.45/0.71 inference(resolution,[status(thm)],[f1583,f1229])).
% 2.45/0.71 fof(f1672,plain,(
% 2.45/0.71 ~spl0_2|~spl0_3|~spl0_15|spl0_21),
% 2.45/0.71 inference(split_clause,[status(thm)],[f1671,f1482,f1485,f1551,f1581])).
% 2.45/0.71 fof(f1743,plain,(
% 2.45/0.71 spl0_45 <=> c_lessequals(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.45/0.71 introduced(split_symbol_definition)).
% 2.45/0.71 fof(f1750,plain,(
% 2.45/0.71 spl0_46 <=> c_lessequals(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.45/0.71 introduced(split_symbol_definition)).
% 2.45/0.71 fof(f1752,plain,(
% 2.45/0.71 ~c_lessequals(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_46),
% 2.45/0.71 inference(component_clause,[status(thm)],[f1750])).
% 2.45/0.71 fof(f1759,plain,(
% 2.45/0.71 spl0_47 <=> c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.45/0.71 introduced(split_symbol_definition)).
% 2.45/0.71 fof(f1762,plain,(
% 2.45/0.71 ~class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal)|~class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_15),
% 2.45/0.71 inference(resolution,[status(thm)],[f1553,f1229])).
% 2.45/0.71 fof(f1763,plain,(
% 2.45/0.71 ~spl0_2|~spl0_3|~spl0_47|spl0_15),
% 2.45/0.71 inference(split_clause,[status(thm)],[f1762,f1482,f1485,f1759,f1551])).
% 2.45/0.71 fof(f1780,plain,(
% 2.45/0.71 spl0_50 <=> c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.45/0.71 introduced(split_symbol_definition)).
% 2.45/0.71 fof(f1782,plain,(
% 2.45/0.71 ~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_50),
% 2.45/0.71 inference(component_clause,[status(thm)],[f1780])).
% 2.45/0.71 fof(f1783,plain,(
% 2.45/0.71 ~class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal)|~class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.45/0.71 inference(resolution,[status(thm)],[f1256,f1232])).
% 2.45/0.71 fof(f1784,plain,(
% 2.45/0.71 ~spl0_2|~spl0_3|~spl0_50),
% 2.45/0.71 inference(split_clause,[status(thm)],[f1783,f1482,f1485,f1780])).
% 2.45/0.71 fof(f1799,plain,(
% 2.45/0.71 spl0_53 <=> c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.45/0.71 introduced(split_symbol_definition)).
% 2.45/0.71 fof(f1802,plain,(
% 2.45/0.71 ~class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal)|~class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_7),
% 2.45/0.71 inference(resolution,[status(thm)],[f1293,f1503])).
% 2.45/0.71 fof(f1803,plain,(
% 2.45/0.71 ~spl0_2|~spl0_3|~spl0_53|spl0_7),
% 2.45/0.71 inference(split_clause,[status(thm)],[f1802,f1482,f1485,f1799,f1501])).
% 2.45/0.71 fof(f1804,plain,(
% 2.45/0.71 spl0_54 <=> c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.45/0.71 introduced(split_symbol_definition)).
% 2.45/0.71 fof(f1807,plain,(
% 2.45/0.71 ~class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal)|~class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.45/0.71 inference(resolution,[status(thm)],[f1293,f1232])).
% 2.45/0.71 fof(f1808,plain,(
% 2.45/0.71 ~spl0_2|~spl0_3|~spl0_54),
% 2.45/0.71 inference(split_clause,[status(thm)],[f1807,f1482,f1485,f1804])).
% 2.45/0.71 fof(f1809,plain,(
% 2.45/0.71 spl0_55 <=> c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.45/0.71 introduced(split_symbol_definition)).
% 2.45/0.71 fof(f1811,plain,(
% 2.45/0.71 ~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_55),
% 2.45/0.71 inference(component_clause,[status(thm)],[f1809])).
% 2.45/0.71 fof(f1829,plain,(
% 2.45/0.71 ~class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal)|~class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)|~c_lessequals(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_55),
% 2.45/0.71 inference(resolution,[status(thm)],[f1811,f1198])).
% 2.45/0.71 fof(f1830,plain,(
% 2.45/0.71 ~spl0_2|~spl0_3|~spl0_5|spl0_55),
% 2.45/0.71 inference(split_clause,[status(thm)],[f1829,f1482,f1485,f1493,f1809])).
% 2.45/0.71 fof(f1831,plain,(
% 2.45/0.71 spl0_57 <=> c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.45/0.71 introduced(split_symbol_definition)).
% 2.45/0.71 fof(f1836,plain,(
% 2.45/0.71 ~class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal)|~class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.45/0.71 inference(resolution,[status(thm)],[f1326,f1232])).
% 2.45/0.71 fof(f1837,plain,(
% 2.45/0.71 ~spl0_2|~spl0_3|~spl0_7),
% 2.45/0.71 inference(split_clause,[status(thm)],[f1836,f1482,f1485,f1501])).
% 2.45/0.71 fof(f1840,plain,(
% 2.45/0.71 ~class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal)|~class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_7),
% 2.45/0.71 inference(resolution,[status(thm)],[f1503,f1326])).
% 2.45/0.71 fof(f1841,plain,(
% 2.45/0.71 ~spl0_2|~spl0_3|~spl0_28|spl0_7),
% 2.45/0.71 inference(split_clause,[status(thm)],[f1840,f1482,f1485,f1616,f1501])).
% 2.45/0.71 fof(f1861,plain,(
% 2.45/0.71 spl0_59 <=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.45/0.71 introduced(split_symbol_definition)).
% 2.45/0.71 fof(f1864,plain,(
% 2.45/0.71 ~class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal)|~class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_28),
% 2.45/0.71 inference(resolution,[status(thm)],[f1618,f1326])).
% 2.45/0.71 fof(f1865,plain,(
% 2.45/0.71 ~spl0_2|~spl0_3|~spl0_59|spl0_28),
% 2.45/0.71 inference(split_clause,[status(thm)],[f1864,f1482,f1485,f1861,f1616])).
% 2.45/0.71 fof(f1866,plain,(
% 2.45/0.71 ~class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal)|~class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_28),
% 2.45/0.71 inference(resolution,[status(thm)],[f1618,f1293])).
% 2.45/0.71 fof(f1867,plain,(
% 2.45/0.71 ~spl0_2|~spl0_3|~spl0_57|spl0_28),
% 2.45/0.71 inference(split_clause,[status(thm)],[f1866,f1482,f1485,f1831,f1616])).
% 2.45/0.71 fof(f1929,plain,(
% 2.45/0.71 spl0_67 <=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.45/0.71 introduced(split_symbol_definition)).
% 2.45/0.71 fof(f1932,plain,(
% 2.45/0.71 ~class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal)|~class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_28),
% 2.45/0.71 inference(resolution,[status(thm)],[f1220,f1618])).
% 2.45/0.71 fof(f1933,plain,(
% 2.45/0.71 ~spl0_2|~spl0_3|~spl0_67|spl0_28),
% 2.45/0.71 inference(split_clause,[status(thm)],[f1932,f1482,f1485,f1929,f1616])).
% 2.45/0.71 fof(f1934,plain,(
% 2.45/0.71 spl0_68 <=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.45/0.71 introduced(split_symbol_definition)).
% 2.45/0.71 fof(f1937,plain,(
% 2.45/0.71 ~class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal)|~class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_7),
% 2.45/0.71 inference(resolution,[status(thm)],[f1220,f1503])).
% 2.45/0.71 fof(f1938,plain,(
% 2.45/0.71 ~spl0_2|~spl0_3|~spl0_68|spl0_7),
% 2.45/0.71 inference(split_clause,[status(thm)],[f1937,f1482,f1485,f1934,f1501])).
% 2.45/0.71 fof(f1939,plain,(
% 2.45/0.71 spl0_69 <=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.45/0.71 introduced(split_symbol_definition)).
% 2.45/0.71 fof(f1942,plain,(
% 2.45/0.71 ~class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal)|~class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.45/0.71 inference(resolution,[status(thm)],[f1220,f1232])).
% 2.45/0.71 fof(f1943,plain,(
% 2.45/0.71 ~spl0_2|~spl0_3|~spl0_69),
% 2.45/0.71 inference(split_clause,[status(thm)],[f1942,f1482,f1485,f1939])).
% 2.45/0.71 fof(f1960,plain,(
% 2.45/0.71 spl0_72 <=> c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.45/0.71 introduced(split_symbol_definition)).
% 2.45/0.71 fof(f1963,plain,(
% 2.45/0.71 ~class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal)|~class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_15),
% 2.45/0.71 inference(resolution,[status(thm)],[f1239,f1553])).
% 2.45/0.71 fof(f1964,plain,(
% 2.45/0.71 ~spl0_2|~spl0_3|~spl0_72|spl0_15),
% 2.45/0.71 inference(split_clause,[status(thm)],[f1963,f1482,f1485,f1960,f1551])).
% 2.45/0.71 fof(f1965,plain,(
% 2.45/0.71 spl0_73 <=> c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.45/0.71 introduced(split_symbol_definition)).
% 2.45/0.71 fof(f1968,plain,(
% 2.45/0.71 ~class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal)|~class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_21),
% 2.45/0.71 inference(resolution,[status(thm)],[f1239,f1583])).
% 2.45/0.71 fof(f1969,plain,(
% 2.45/0.71 ~spl0_2|~spl0_3|~spl0_73|spl0_21),
% 2.45/0.71 inference(split_clause,[status(thm)],[f1968,f1482,f1485,f1965,f1581])).
% 2.45/0.71 fof(f1970,plain,(
% 2.45/0.71 spl0_74 <=> c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.45/0.71 introduced(split_symbol_definition)).
% 2.45/0.71 fof(f1973,plain,(
% 2.45/0.71 ~class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal)|~class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.45/0.71 inference(resolution,[status(thm)],[f1239,f1232])).
% 2.45/0.71 fof(f1974,plain,(
% 2.45/0.71 ~spl0_2|~spl0_3|~spl0_74),
% 2.45/0.71 inference(split_clause,[status(thm)],[f1973,f1482,f1485,f1970])).
% 2.45/0.71 fof(f1975,plain,(
% 2.45/0.71 spl0_75 <=> ~c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X0,X0,tc_RealDef_Oreal)),
% 2.45/0.71 introduced(split_symbol_definition)).
% 2.45/0.71 fof(f1978,plain,(
% 2.45/0.71 ![X0]: (~class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X0,X0,tc_RealDef_Oreal))),
% 2.45/0.71 inference(resolution,[status(thm)],[f1240,f1232])).
% 2.45/0.71 fof(f1979,plain,(
% 2.45/0.71 ~spl0_2|spl0_75),
% 2.45/0.71 inference(split_clause,[status(thm)],[f1978,f1482,f1975])).
% 2.45/0.71 fof(f2033,plain,(
% 2.45/0.71 spl0_87 <=> ~c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.45/0.71 introduced(split_symbol_definition)).
% 2.45/0.71 fof(f2036,plain,(
% 2.45/0.71 ![X0]: (~class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 2.45/0.71 inference(resolution,[status(thm)],[f1241,f1232])).
% 2.45/0.71 fof(f2037,plain,(
% 2.45/0.71 ~spl0_2|spl0_87),
% 2.45/0.71 inference(split_clause,[status(thm)],[f2036,f1482,f2033])).
% 2.45/0.71 fof(f2038,plain,(
% 2.45/0.71 spl0_88 <=> ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X0,X0,tc_RealDef_Oreal)),
% 2.45/0.71 introduced(split_symbol_definition)).
% 2.45/0.71 fof(f2041,plain,(
% 2.45/0.71 ![X0]: (~class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X0,X0,tc_RealDef_Oreal))),
% 2.45/0.71 inference(resolution,[status(thm)],[f1242,f1232])).
% 2.45/0.71 fof(f2042,plain,(
% 2.45/0.71 ~spl0_2|spl0_88),
% 2.45/0.71 inference(split_clause,[status(thm)],[f2041,f1482,f2038])).
% 2.45/0.71 fof(f2063,plain,(
% 2.45/0.71 spl0_89 <=> ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.45/0.71 introduced(split_symbol_definition)).
% 2.45/0.71 fof(f2066,plain,(
% 2.45/0.71 ![X0]: (~class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 2.45/0.71 inference(resolution,[status(thm)],[f1243,f1232])).
% 2.45/0.71 fof(f2067,plain,(
% 2.45/0.71 ~spl0_2|spl0_89),
% 2.45/0.71 inference(split_clause,[status(thm)],[f2066,f1482,f2063])).
% 2.45/0.71 fof(f2068,plain,(
% 2.45/0.71 ~class_Orderings_Opreorder(tc_RealDef_Oreal)|spl0_46),
% 2.45/0.71 inference(resolution,[status(thm)],[f1184,f1752])).
% 2.45/0.71 fof(f2069,plain,(
% 2.45/0.71 $false|spl0_46),
% 2.45/0.71 inference(forward_subsumption_resolution,[status(thm)],[f2068,f1421])).
% 2.45/0.71 fof(f2070,plain,(
% 2.45/0.71 spl0_46),
% 2.45/0.71 inference(contradiction_clause,[status(thm)],[f2069])).
% 2.45/0.71 fof(f2071,plain,(
% 2.45/0.71 spl0_90 <=> class_Orderings_Olinorder(tc_RealDef_Oreal)),
% 2.45/0.71 introduced(split_symbol_definition)).
% 2.45/0.71 fof(f2073,plain,(
% 2.45/0.71 ~class_Orderings_Olinorder(tc_RealDef_Oreal)|spl0_90),
% 2.45/0.71 inference(component_clause,[status(thm)],[f2071])).
% 2.45/0.71 fof(f2074,plain,(
% 2.45/0.71 ~class_Orderings_Olinorder(tc_RealDef_Oreal)|c_lessequals(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_28),
% 2.45/0.71 inference(resolution,[status(thm)],[f804,f1618])).
% 2.45/0.71 fof(f2075,plain,(
% 2.45/0.71 ~spl0_90|spl0_19|spl0_28),
% 2.45/0.71 inference(split_clause,[status(thm)],[f2074,f2071,f1571,f1616])).
% 2.45/0.71 fof(f2084,plain,(
% 2.45/0.71 ~class_Orderings_Olinorder(tc_RealDef_Oreal)|c_lessequals(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_50),
% 2.45/0.71 inference(resolution,[status(thm)],[f804,f1782])).
% 2.45/0.71 fof(f2085,plain,(
% 2.45/0.71 ~spl0_90|spl0_45|spl0_50),
% 2.45/0.71 inference(split_clause,[status(thm)],[f2084,f2071,f1743,f1780])).
% 2.45/0.71 fof(f2091,plain,(
% 2.45/0.71 spl0_92 <=> c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.45/0.71 introduced(split_symbol_definition)).
% 2.45/0.71 fof(f2094,plain,(
% 2.45/0.71 ~class_Orderings_Olinorder(tc_RealDef_Oreal)|c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_15),
% 2.45/0.71 inference(resolution,[status(thm)],[f804,f1553])).
% 2.45/0.71 fof(f2095,plain,(
% 2.45/0.71 ~spl0_90|spl0_92|spl0_15),
% 2.45/0.71 inference(split_clause,[status(thm)],[f2094,f2071,f2091,f1551])).
% 2.45/0.71 fof(f2096,plain,(
% 2.45/0.71 spl0_93 <=> c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.45/0.71 introduced(split_symbol_definition)).
% 2.45/0.71 fof(f2099,plain,(
% 2.45/0.71 ~class_Orderings_Olinorder(tc_RealDef_Oreal)|c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_21),
% 2.45/0.71 inference(resolution,[status(thm)],[f804,f1583])).
% 2.45/0.71 fof(f2100,plain,(
% 2.45/0.71 ~spl0_90|spl0_93|spl0_21),
% 2.45/0.71 inference(split_clause,[status(thm)],[f2099,f2071,f2096,f1581])).
% 2.45/0.71 fof(f2106,plain,(
% 2.45/0.71 spl0_95 <=> c_lessequals(X0,X0,tc_RealDef_Oreal)),
% 2.45/0.71 introduced(split_symbol_definition)).
% 2.45/0.71 fof(f2109,plain,(
% 2.45/0.71 ![X0]: (~class_Orderings_Olinorder(tc_RealDef_Oreal)|c_lessequals(X0,X0,tc_RealDef_Oreal))),
% 2.45/0.71 inference(resolution,[status(thm)],[f804,f1232])).
% 2.45/0.71 fof(f2110,plain,(
% 2.45/0.71 ~spl0_90|spl0_95),
% 2.45/0.71 inference(split_clause,[status(thm)],[f2109,f2071,f2106])).
% 2.45/0.71 fof(f2111,plain,(
% 2.45/0.71 $false|spl0_90),
% 2.45/0.71 inference(forward_subsumption_resolution,[status(thm)],[f2073,f1422])).
% 2.45/0.71 fof(f2112,plain,(
% 2.45/0.71 spl0_90),
% 2.45/0.71 inference(contradiction_clause,[status(thm)],[f2111])).
% 2.45/0.71 fof(f2113,plain,(
% 2.45/0.71 ~class_Orderings_Olinorder(tc_RealDef_Oreal)|c_lessequals(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_11),
% 2.45/0.71 inference(resolution,[status(thm)],[f1191,f1525])).
% 2.45/0.71 fof(f2114,plain,(
% 2.45/0.71 ~spl0_90|spl0_6|spl0_11),
% 2.45/0.71 inference(split_clause,[status(thm)],[f2113,f2071,f1496,f1523])).
% 2.45/0.71 fof(f2115,plain,(
% 2.45/0.71 ~class_Orderings_Olinorder(tc_RealDef_Oreal)|c_lessequals(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_4),
% 2.45/0.71 inference(resolution,[status(thm)],[f1191,f1490])).
% 2.45/0.71 fof(f2116,plain,(
% 2.45/0.71 ~spl0_90|spl0_33|spl0_4),
% 2.45/0.71 inference(split_clause,[status(thm)],[f2115,f2071,f1651,f1488])).
% 2.45/0.71 fof(f2117,plain,(
% 2.45/0.71 spl0_96 <=> class_Ring__and__Field_Ofield(tc_Complex_Ocomplex)),
% 2.45/0.71 introduced(split_symbol_definition)).
% 2.45/0.71 fof(f2119,plain,(
% 2.45/0.71 ~class_Ring__and__Field_Ofield(tc_Complex_Ocomplex)|spl0_96),
% 2.45/0.71 inference(component_clause,[status(thm)],[f2117])).
% 2.45/0.71 fof(f2120,plain,(
% 2.45/0.71 spl0_97 <=> c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex)=c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex)),
% 2.45/0.71 introduced(split_symbol_definition)).
% 2.45/0.71 fof(f2123,plain,(
% 2.45/0.71 ![X0,X1]: (~class_Ring__and__Field_Ofield(tc_Complex_Ocomplex)|c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex)=c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex))),
% 2.45/0.71 inference(paramodulation,[status(thm)],[f947,f942])).
% 2.45/0.71 fof(f2124,plain,(
% 2.45/0.71 ~spl0_96|spl0_97),
% 2.45/0.71 inference(split_clause,[status(thm)],[f2123,f2117,f2120])).
% 2.45/0.71 fof(f2125,plain,(
% 2.45/0.71 $false|spl0_96),
% 2.45/0.71 inference(forward_subsumption_resolution,[status(thm)],[f2119,f1442])).
% 2.45/0.71 fof(f2126,plain,(
% 2.45/0.71 spl0_96),
% 2.45/0.71 inference(contradiction_clause,[status(thm)],[f2125])).
% 2.45/0.71 fof(f2127,plain,(
% 2.45/0.71 spl0_98 <=> c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)),
% 2.45/0.71 introduced(split_symbol_definition)).
% 2.45/0.71 fof(f2128,plain,(
% 2.45/0.71 c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_98),
% 2.45/0.71 inference(component_clause,[status(thm)],[f2127])).
% 2.45/0.71 fof(f2130,plain,(
% 2.45/0.71 spl0_99 <=> c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)=c_HOL_Oinverse__class_Odivide(c_Polynomial_Opoly(v_q____,X0,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)),
% 2.45/0.71 introduced(split_symbol_definition)).
% 2.45/0.71 fof(f2131,plain,(
% 2.45/0.71 ![X0]: (c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)=c_HOL_Oinverse__class_Odivide(c_Polynomial_Opoly(v_q____,X0,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)|~spl0_99)),
% 2.45/0.71 inference(component_clause,[status(thm)],[f2130])).
% 2.45/0.71 fof(f2133,plain,(
% 2.45/0.71 ![X0]: (~class_Ring__and__Field_Ofield(tc_Complex_Ocomplex)|c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)=c_HOL_Oinverse__class_Odivide(c_Polynomial_Opoly(v_q____,X0,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex))),
% 2.45/0.71 inference(paramodulation,[status(thm)],[f1202,f909])).
% 2.45/0.71 fof(f2134,plain,(
% 2.45/0.71 ~spl0_96|spl0_98|spl0_99),
% 2.45/0.71 inference(split_clause,[status(thm)],[f2133,f2117,f2127,f2130])).
% 2.45/0.71 fof(f2135,plain,(
% 2.45/0.71 spl0_100 <=> c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|X1=c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)),
% 2.45/0.71 introduced(split_symbol_definition)).
% 2.45/0.71 fof(f2138,plain,(
% 2.45/0.71 ![X0,X1]: (~class_Ring__and__Field_Ofield(tc_Complex_Ocomplex)|c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|X1=c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex))),
% 2.45/0.71 inference(paramodulation,[status(thm)],[f947,f909])).
% 2.45/0.71 fof(f2139,plain,(
% 2.45/0.71 ~spl0_96|spl0_100),
% 2.45/0.71 inference(split_clause,[status(thm)],[f2138,f2117,f2135])).
% 2.45/0.71 fof(f2140,plain,(
% 2.45/0.71 $false|~spl0_98),
% 2.45/0.71 inference(forward_subsumption_resolution,[status(thm)],[f2128,f1255])).
% 2.45/0.71 fof(f2141,plain,(
% 2.45/0.71 ~spl0_98),
% 2.45/0.71 inference(contradiction_clause,[status(thm)],[f2140])).
% 2.45/0.71 fof(f2144,plain,(
% 2.45/0.71 ~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_Polynomial_Opoly(v_q____,v_w____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_99|spl0_1),
% 2.45/0.73 inference(backward_demodulation,[status(thm)],[f2131,f1478])).
% 2.45/0.73 fof(f2145,plain,(
% 2.45/0.73 ~spl0_0|~spl0_99|spl0_1),
% 2.45/0.73 inference(split_clause,[status(thm)],[f2144,f1473,f2130,f1476])).
% 2.45/0.73 fof(f2146,plain,(
% 2.45/0.73 c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_Polynomial_Opoly(v_q____,v_w____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_99|~spl0_1),
% 2.45/0.73 inference(forward_demodulation,[status(thm)],[f2131,f1477])).
% 2.45/0.73 fof(f2147,plain,(
% 2.45/0.73 $false|spl0_0|~spl0_99|~spl0_1),
% 2.45/0.73 inference(forward_subsumption_resolution,[status(thm)],[f2146,f1475])).
% 2.45/0.73 fof(f2148,plain,(
% 2.45/0.73 spl0_0|~spl0_99|~spl0_1),
% 2.45/0.73 inference(contradiction_clause,[status(thm)],[f2147])).
% 2.45/0.73 fof(f2149,plain,(
% 2.45/0.73 $false),
% 2.45/0.73 inference(sat_refutation,[status(thm)],[f1479,f1480,f1492,f1500,f1515,f1517,f1527,f1648,f1650,f1670,f1672,f1763,f1784,f1803,f1808,f1830,f1837,f1841,f1865,f1867,f1933,f1938,f1943,f1964,f1969,f1974,f1979,f2037,f2042,f2067,f2070,f2075,f2085,f2095,f2100,f2110,f2112,f2114,f2116,f2124,f2126,f2134,f2139,f2141,f2145,f2148])).
% 2.45/0.73 % SZS output end CNFRefutation for theBenchmark.p
% 2.45/0.73 % Elapsed time: 0.385034 seconds
% 2.45/0.73 % CPU time: 2.674269 seconds
% 2.45/0.73 % Total memory used: 124.117 MB
% 2.45/0.73 % Net memory used: 122.770 MB
%------------------------------------------------------------------------------