TSTP Solution File: ALG368-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG368-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 20:11:26 EDT 2024
% Result : Unsatisfiable 77.84s 10.19s
% Output : CNFRefutation 78.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : ALG368-1 : TPTP v8.1.2. Released v4.1.0.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n008.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Apr 29 23:35:42 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.15/0.36 % Drodi V3.6.0
% 77.84/10.19 % Refutation found
% 77.84/10.19 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 77.84/10.19 % SZS output start CNFRefutation for theBenchmark
% 77.84/10.19 fof(f18,axiom,(
% 77.84/10.19 (![T_a,V_a,V_b,V_c]: (( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)| c_lessequals(V_a,V_b,T_a)| ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ))),
% 77.84/10.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.84/10.19 fof(f23,axiom,(
% 77.84/10.19 (![V_z,V_x,V_y]: (( c_lessequals(c_HOL_Oplus__class_Oplus(V_z,V_x,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(V_z,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)| ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ))),
% 77.84/10.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.84/10.19 fof(f42,axiom,(
% 77.84/10.19 (![V_z]: (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) = V_z ))),
% 77.84/10.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.84/10.19 fof(f46,axiom,(
% 77.84/10.19 (![T_a,V_x,V_y,V_z]: (( ~ class_Ring__and__Field_Oidom(T_a)| ~ class_Int_Onumber__ring(T_a)| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) ) ))),
% 77.84/10.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.84/10.19 fof(f195,axiom,(
% 77.84/10.19 (![T_a,V_a]: (( ~ class_OrderedGroup_Omonoid__add(T_a)| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ))),
% 77.84/10.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.84/10.19 fof(f320,axiom,(
% 77.84/10.19 (![V_x,V_y]: (( c_lessequals(V_x,V_y,tc_RealDef_Oreal)| ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ))),
% 77.84/10.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.84/10.19 fof(f321,axiom,(
% 77.84/10.19 (![V_x,V_y]: (( c_lessequals(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)| ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ))),
% 77.84/10.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.84/10.19 fof(f561,axiom,(
% 77.84/10.19 (![T_a,V_y,V_x]: (( ~ class_Orderings_Opreorder(T_a)| ~ c_lessequals(V_y,V_x,T_a)| ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ))),
% 77.84/10.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.84/10.19 fof(f562,axiom,(
% 77.84/10.19 (![T_a,V_x,V_y]: (( ~ class_Orderings_Olinorder(T_a)| c_HOL_Oord__class_Oless(V_x,V_y,T_a)| c_lessequals(V_y,V_x,T_a) ) ))),
% 77.84/10.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.84/10.19 fof(f801,axiom,(
% 77.84/10.19 (![V_x]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) ))),
% 77.84/10.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.84/10.19 fof(f821,axiom,(
% 77.84/10.19 (![T_a]: (( ~ class_RealVector_Oreal__normed__vector(T_a)| c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ))),
% 77.84/10.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.84/10.19 fof(f822,axiom,(
% 77.84/10.19 (![T_a,V_x]: (( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)| c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ))),
% 77.84/10.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.84/10.19 fof(f824,axiom,(
% 77.84/10.19 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_e,tc_RealDef_Oreal) ),
% 77.84/10.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.84/10.19 fof(f834,axiom,(
% 77.84/10.19 (![T_a,V_x]: (( ~ class_OrderedGroup_Oab__group__add(T_a)| c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ))),
% 77.84/10.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.84/10.19 fof(f836,axiom,(
% 77.84/10.19 (![T_a,V_a]: (( ~ class_OrderedGroup_Ogroup__add(T_a)| c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ))),
% 77.84/10.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.84/10.19 fof(f852,negated_conjecture,(
% 77.84/10.19 (![V_xa]: (( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ominus__class_Ominus(hAPP(v_x,V_xa),v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ominus__class_Ominus(v_z,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_e,tc_RealDef_Oreal)| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_xa,tc_RealDef_Oreal) ) ))),
% 77.84/10.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.84/10.20 fof(f893,axiom,(
% 77.84/10.20 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ),
% 77.84/10.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.84/10.20 fof(f941,axiom,(
% 77.84/10.20 class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ),
% 77.84/10.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.84/10.20 fof(f943,axiom,(
% 77.84/10.20 class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ),
% 77.84/10.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.84/10.20 fof(f950,axiom,(
% 77.84/10.20 class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ),
% 77.84/10.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.84/10.20 fof(f951,axiom,(
% 77.84/10.20 class_Orderings_Opreorder(tc_RealDef_Oreal) ),
% 77.84/10.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.84/10.20 fof(f952,axiom,(
% 77.84/10.20 class_Orderings_Olinorder(tc_RealDef_Oreal) ),
% 77.84/10.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.84/10.20 fof(f954,axiom,(
% 77.84/10.20 class_Int_Onumber__ring(tc_RealDef_Oreal) ),
% 77.84/10.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.84/10.20 fof(f967,axiom,(
% 77.84/10.20 class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex) ),
% 77.84/10.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.84/10.20 fof(f970,axiom,(
% 77.84/10.20 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
% 77.84/10.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.84/10.20 fof(f978,axiom,(
% 77.84/10.20 class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ),
% 77.84/10.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.84/10.20 fof(f1075,plain,(
% 77.84/10.20 ![T_a,V_a,V_b]: ((~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|c_lessequals(V_a,V_b,T_a))|(![V_c]: ~c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)))),
% 77.84/10.20 inference(miniscoping,[status(esa)],[f18])).
% 77.84/10.20 fof(f1076,plain,(
% 77.84/10.20 ![X0,X1,X2,X3]: (~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)|c_lessequals(X1,X2,X0)|~c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X3,X0),X0))),
% 77.84/10.20 inference(cnf_transformation,[status(esa)],[f1075])).
% 77.84/10.20 fof(f1085,plain,(
% 77.84/10.20 ![V_x,V_y]: ((![V_z]: c_lessequals(c_HOL_Oplus__class_Oplus(V_z,V_x,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(V_z,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal))|~c_lessequals(V_x,V_y,tc_RealDef_Oreal))),
% 77.84/10.20 inference(miniscoping,[status(esa)],[f23])).
% 77.84/10.20 fof(f1086,plain,(
% 77.84/10.20 ![X0,X1,X2]: (c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(X1,X2,tc_RealDef_Oreal))),
% 77.84/10.20 inference(cnf_transformation,[status(esa)],[f1085])).
% 77.84/10.20 fof(f1116,plain,(
% 77.84/10.20 ![X0]: (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)=X0)),
% 77.84/10.20 inference(cnf_transformation,[status(esa)],[f42])).
% 77.84/10.20 fof(f1123,plain,(
% 77.84/10.20 ![T_a]: ((~class_Ring__and__Field_Oidom(T_a)|~class_Int_Onumber__ring(T_a))|(![V_x,V_y,V_z]: c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a)))),
% 77.84/10.20 inference(miniscoping,[status(esa)],[f46])).
% 77.84/10.20 fof(f1124,plain,(
% 77.84/10.20 ![X0,X1,X2,X3]: (~class_Ring__and__Field_Oidom(X0)|~class_Int_Onumber__ring(X0)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0))),
% 77.84/10.20 inference(cnf_transformation,[status(esa)],[f1123])).
% 77.84/10.20 fof(f1374,plain,(
% 77.84/10.20 ![T_a]: (~class_OrderedGroup_Omonoid__add(T_a)|(![V_a]: c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)=V_a))),
% 77.84/10.20 inference(miniscoping,[status(esa)],[f195])).
% 77.84/10.20 fof(f1375,plain,(
% 77.84/10.20 ![X0,X1]: (~class_OrderedGroup_Omonoid__add(X0)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0)=X1)),
% 77.84/10.20 inference(cnf_transformation,[status(esa)],[f1374])).
% 77.84/10.20 fof(f1594,plain,(
% 77.84/10.20 ![X0,X1]: (c_lessequals(X0,X1,tc_RealDef_Oreal)|~c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 77.84/10.20 inference(cnf_transformation,[status(esa)],[f320])).
% 77.84/10.20 fof(f1595,plain,(
% 77.84/10.20 ![X0,X1]: (c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(X0,X1,tc_RealDef_Oreal))),
% 77.84/10.20 inference(cnf_transformation,[status(esa)],[f321])).
% 77.84/10.20 fof(f1945,plain,(
% 77.84/10.20 ![X0,X1,X2]: (~class_Orderings_Opreorder(X0)|~c_lessequals(X1,X2,X0)|~c_HOL_Oord__class_Oless(X2,X1,X0))),
% 77.84/10.20 inference(cnf_transformation,[status(esa)],[f561])).
% 77.84/10.20 fof(f1946,plain,(
% 77.84/10.20 ![X0,X1,X2]: (~class_Orderings_Olinorder(X0)|c_HOL_Oord__class_Oless(X1,X2,X0)|c_lessequals(X2,X1,X0))),
% 77.84/10.20 inference(cnf_transformation,[status(esa)],[f562])).
% 77.84/10.20 fof(f2335,plain,(
% 77.84/10.20 ![X0]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oexp(X0,tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 77.84/10.20 inference(cnf_transformation,[status(esa)],[f801])).
% 77.84/10.20 fof(f2362,plain,(
% 77.84/10.20 ![X0]: (~class_RealVector_Oreal__normed__vector(X0)|c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X0),X0)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 77.84/10.20 inference(cnf_transformation,[status(esa)],[f821])).
% 77.84/10.20 fof(f2363,plain,(
% 77.84/10.20 ![T_a]: (~class_Ring__and__Field_Ocomm__semiring__0(T_a)|(![V_x]: c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_x,T_a)=c_HOL_Ozero__class_Ozero(T_a)))),
% 77.84/10.20 inference(miniscoping,[status(esa)],[f822])).
% 77.84/10.20 fof(f2364,plain,(
% 77.84/10.20 ![X0,X1]: (~class_Ring__and__Field_Ocomm__semiring__0(X0)|c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0)=c_HOL_Ozero__class_Ozero(X0))),
% 77.84/10.20 inference(cnf_transformation,[status(esa)],[f2363])).
% 77.84/10.20 fof(f2367,plain,(
% 77.84/10.20 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_e,tc_RealDef_Oreal)),
% 77.84/10.20 inference(cnf_transformation,[status(esa)],[f824])).
% 77.84/10.20 fof(f2381,plain,(
% 77.84/10.20 ![T_a]: (~class_OrderedGroup_Oab__group__add(T_a)|(![V_x]: c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)=c_HOL_Ozero__class_Ozero(T_a)))),
% 77.84/10.20 inference(miniscoping,[status(esa)],[f834])).
% 77.84/10.20 fof(f2382,plain,(
% 77.84/10.20 ![X0,X1]: (~class_OrderedGroup_Oab__group__add(X0)|c_HOL_Ominus__class_Ominus(X1,X1,X0)=c_HOL_Ozero__class_Ozero(X0))),
% 77.84/10.20 inference(cnf_transformation,[status(esa)],[f2381])).
% 77.84/10.20 fof(f2385,plain,(
% 77.84/10.20 ![T_a]: (~class_OrderedGroup_Ogroup__add(T_a)|(![V_a]: c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=V_a))),
% 77.84/10.20 inference(miniscoping,[status(esa)],[f836])).
% 77.84/10.20 fof(f2386,plain,(
% 77.84/10.20 ![X0,X1]: (~class_OrderedGroup_Ogroup__add(X0)|c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0)=X1)),
% 77.84/10.20 inference(cnf_transformation,[status(esa)],[f2385])).
% 77.84/10.20 fof(f2413,plain,(
% 77.84/10.20 ![X0]: (~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ominus__class_Ominus(hAPP(v_x,X0),v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ominus__class_Ominus(v_z,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_e,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal))),
% 77.84/10.20 inference(cnf_transformation,[status(esa)],[f852])).
% 77.84/10.20 fof(f2454,plain,(
% 77.84/10.20 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal)),
% 77.84/10.20 inference(cnf_transformation,[status(esa)],[f893])).
% 77.84/10.20 fof(f2502,plain,(
% 77.84/10.20 class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal)),
% 77.84/10.20 inference(cnf_transformation,[status(esa)],[f941])).
% 77.84/10.20 fof(f2504,plain,(
% 77.84/10.20 class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal)),
% 77.84/10.20 inference(cnf_transformation,[status(esa)],[f943])).
% 77.84/10.20 fof(f2511,plain,(
% 77.84/10.20 class_Ring__and__Field_Oidom(tc_RealDef_Oreal)),
% 77.84/10.20 inference(cnf_transformation,[status(esa)],[f950])).
% 77.84/10.20 fof(f2512,plain,(
% 77.84/10.20 class_Orderings_Opreorder(tc_RealDef_Oreal)),
% 77.84/10.20 inference(cnf_transformation,[status(esa)],[f951])).
% 77.84/10.20 fof(f2513,plain,(
% 77.84/10.20 class_Orderings_Olinorder(tc_RealDef_Oreal)),
% 77.84/10.20 inference(cnf_transformation,[status(esa)],[f952])).
% 77.84/10.20 fof(f2515,plain,(
% 77.84/10.20 class_Int_Onumber__ring(tc_RealDef_Oreal)),
% 77.84/10.20 inference(cnf_transformation,[status(esa)],[f954])).
% 77.84/10.20 fof(f2528,plain,(
% 77.84/10.20 class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex)),
% 77.84/10.20 inference(cnf_transformation,[status(esa)],[f967])).
% 77.84/10.20 fof(f2531,plain,(
% 77.84/10.20 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)),
% 77.84/10.20 inference(cnf_transformation,[status(esa)],[f970])).
% 77.84/10.20 fof(f2539,plain,(
% 77.84/10.20 class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)),
% 77.84/10.20 inference(cnf_transformation,[status(esa)],[f978])).
% 77.84/10.20 fof(f7479,plain,(
% 77.84/10.20 spl0_4 <=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal)),
% 77.84/10.20 introduced(split_symbol_definition)).
% 77.84/10.20 fof(f7481,plain,(
% 77.84/10.20 ~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal)|spl0_4),
% 77.84/10.20 inference(component_clause,[status(thm)],[f7479])).
% 77.84/10.20 fof(f7482,plain,(
% 77.84/10.20 spl0_5 <=> ~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal),tc_RealDef_Oreal)|c_lessequals(X0,X1,tc_RealDef_Oreal)),
% 77.84/10.20 introduced(split_symbol_definition)).
% 77.84/10.20 fof(f7483,plain,(
% 77.84/10.20 ![X0,X1,X2]: (~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal),tc_RealDef_Oreal)|c_lessequals(X0,X1,tc_RealDef_Oreal)|~spl0_5)),
% 77.84/10.20 inference(component_clause,[status(thm)],[f7482])).
% 77.84/10.20 fof(f7485,plain,(
% 77.84/10.20 ![X0,X1,X2]: (~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal)|~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal),tc_RealDef_Oreal)|c_lessequals(X0,X1,tc_RealDef_Oreal))),
% 77.84/10.20 inference(resolution,[status(thm)],[f1076,f1594])).
% 77.84/10.20 fof(f7486,plain,(
% 77.84/10.20 ~spl0_4|spl0_5),
% 77.84/10.20 inference(split_clause,[status(thm)],[f7485,f7479,f7482])).
% 77.84/10.20 fof(f7487,plain,(
% 77.84/10.20 $false|spl0_4),
% 77.84/10.20 inference(forward_subsumption_resolution,[status(thm)],[f7481,f2454])).
% 77.84/10.20 fof(f7488,plain,(
% 77.84/10.20 spl0_4),
% 77.84/10.20 inference(contradiction_clause,[status(thm)],[f7487])).
% 77.84/10.20 fof(f10138,plain,(
% 77.84/10.20 ![X0,X1,X2]: (c_lessequals(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(X1,X2,tc_RealDef_Oreal))),
% 77.84/10.20 inference(resolution,[status(thm)],[f1086,f1595])).
% 77.84/10.20 fof(f13003,plain,(
% 77.84/10.20 ![X0]: (c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))),
% 77.84/10.20 inference(resolution,[status(thm)],[f2528,f2364])).
% 77.84/10.20 fof(f15581,plain,(
% 77.84/10.20 ![X0]: (~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ominus__class_Ominus(hAPP(v_x,X0),v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_e,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal))),
% 77.84/10.20 inference(backward_demodulation,[status(thm)],[f13003,f2413])).
% 77.84/10.20 fof(f15582,plain,(
% 77.84/10.20 ![X0]: (~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_e,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal))),
% 77.84/10.20 inference(forward_demodulation,[status(thm)],[f13003,f15581])).
% 77.84/10.20 fof(f29747,plain,(
% 77.84/10.20 spl0_177 <=> class_Ring__and__Field_Oidom(tc_RealDef_Oreal)),
% 77.84/10.21 introduced(split_symbol_definition)).
% 77.84/10.21 fof(f29749,plain,(
% 77.84/10.21 ~class_Ring__and__Field_Oidom(tc_RealDef_Oreal)|spl0_177),
% 77.84/10.21 inference(component_clause,[status(thm)],[f29747])).
% 77.84/10.21 fof(f29750,plain,(
% 77.84/10.21 spl0_178 <=> c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 77.84/10.21 introduced(split_symbol_definition)).
% 77.84/10.21 fof(f29751,plain,(
% 77.84/10.21 ![X0,X1,X2]: (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_178)),
% 77.84/10.21 inference(component_clause,[status(thm)],[f29750])).
% 77.84/10.21 fof(f29753,plain,(
% 77.84/10.21 ![X0,X1,X2]: (~class_Ring__and__Field_Oidom(tc_RealDef_Oreal)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 77.84/10.21 inference(resolution,[status(thm)],[f1124,f2515])).
% 77.84/10.21 fof(f29754,plain,(
% 77.84/10.21 ~spl0_177|spl0_178),
% 77.84/10.21 inference(split_clause,[status(thm)],[f29753,f29747,f29750])).
% 77.84/10.21 fof(f29755,plain,(
% 77.84/10.21 $false|spl0_177),
% 77.84/10.21 inference(forward_subsumption_resolution,[status(thm)],[f29749,f2511])).
% 77.84/10.21 fof(f29756,plain,(
% 77.84/10.21 spl0_177),
% 77.84/10.21 inference(contradiction_clause,[status(thm)],[f29755])).
% 77.84/10.21 fof(f30088,plain,(
% 77.84/10.21 ![X0,X1]: (c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_178)),
% 77.84/10.21 inference(paramodulation,[status(thm)],[f1116,f29751])).
% 77.84/10.21 fof(f30089,plain,(
% 77.84/10.21 ![X0,X1]: (c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_178)),
% 77.84/10.21 inference(forward_demodulation,[status(thm)],[f1116,f30088])).
% 77.84/10.21 fof(f30090,plain,(
% 77.84/10.21 ![X0,X1]: (c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_178)),
% 77.84/10.21 inference(forward_demodulation,[status(thm)],[f1116,f30089])).
% 77.84/10.21 fof(f30091,plain,(
% 77.84/10.21 ![X0,X1]: (c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal)=c_HOL_Oplus__class_Oplus(X1,X0,tc_RealDef_Oreal)|~spl0_178)),
% 77.84/10.21 inference(forward_demodulation,[status(thm)],[f1116,f30090])).
% 77.84/10.21 fof(f31122,plain,(
% 77.84/10.21 ![X0,X1,X2]: (c_lessequals(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(X1,X2,tc_RealDef_Oreal)|~spl0_178)),
% 77.84/10.21 inference(paramodulation,[status(thm)],[f30091,f10138])).
% 77.84/10.21 fof(f45513,plain,(
% 77.84/10.21 ![X0]: (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)=X0)),
% 77.84/10.21 inference(resolution,[status(thm)],[f1375,f2502])).
% 77.84/10.21 fof(f45596,plain,(
% 77.84/10.21 ![X0,X1,X2]: (c_lessequals(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|~c_lessequals(X1,X2,tc_RealDef_Oreal)|~spl0_178)),
% 77.84/10.21 inference(backward_demodulation,[status(thm)],[f45513,f31122])).
% 77.84/10.21 fof(f45636,plain,(
% 77.84/10.21 ![X0,X1,X2]: (~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)|c_lessequals(X0,X1,tc_RealDef_Oreal)|~spl0_5)),
% 77.84/10.21 inference(backward_demodulation,[status(thm)],[f45513,f7483])).
% 77.84/10.21 fof(f49324,plain,(
% 77.84/10.21 ![X0]: (c_HOL_Ominus__class_Ominus(X0,X0,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))),
% 77.84/10.21 inference(resolution,[status(thm)],[f2382,f2539])).
% 77.84/10.21 fof(f49326,plain,(
% 77.84/10.21 spl0_274 <=> c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_e,tc_RealDef_Oreal)),
% 77.84/10.21 introduced(split_symbol_definition)).
% 77.84/10.21 fof(f49328,plain,(
% 77.84/10.21 ~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_e,tc_RealDef_Oreal)|spl0_274),
% 77.84/10.21 inference(component_clause,[status(thm)],[f49326])).
% 77.84/10.21 fof(f49329,plain,(
% 77.84/10.21 spl0_275 <=> ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)),
% 77.84/10.21 introduced(split_symbol_definition)).
% 77.84/10.21 fof(f49330,plain,(
% 77.84/10.21 ![X0]: (~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|~spl0_275)),
% 77.84/10.21 inference(component_clause,[status(thm)],[f49329])).
% 77.84/10.21 fof(f49332,plain,(
% 77.84/10.21 ![X0]: (~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_e,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal))),
% 77.84/10.21 inference(backward_demodulation,[status(thm)],[f49324,f15582])).
% 77.84/10.21 fof(f49333,plain,(
% 77.84/10.21 ~spl0_274|spl0_275),
% 77.84/10.21 inference(split_clause,[status(thm)],[f49332,f49326,f49329])).
% 77.84/10.21 fof(f49542,plain,(
% 77.84/10.21 ![X0]: (c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)=X0)),
% 77.84/10.21 inference(resolution,[status(thm)],[f2386,f2504])).
% 77.84/10.21 fof(f49549,plain,(
% 77.84/10.21 ![X0,X1]: (c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_178)),
% 77.84/10.21 inference(paramodulation,[status(thm)],[f49542,f45596])).
% 77.84/10.21 fof(f49850,plain,(
% 77.84/10.21 ![X0,X1,X2]: (c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)|~spl0_178|~spl0_5)),
% 77.84/10.21 inference(resolution,[status(thm)],[f49549,f45636])).
% 77.84/10.21 fof(f49851,plain,(
% 77.84/10.21 ![X0,X1,X2]: (c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|~c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)|~spl0_178|~spl0_5)),
% 77.84/10.21 inference(forward_demodulation,[status(thm)],[f49542,f49850])).
% 77.84/10.21 fof(f60409,plain,(
% 77.84/10.21 ![X0,X1]: (c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)|~spl0_178|~spl0_5)),
% 77.84/10.21 inference(paramodulation,[status(thm)],[f45513,f49851])).
% 77.84/10.21 fof(f66365,plain,(
% 77.84/10.21 ![X0,X1]: (~c_lessequals(X0,X1,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X1,X0,tc_RealDef_Oreal))),
% 77.84/10.21 inference(resolution,[status(thm)],[f1945,f2512])).
% 77.84/10.21 fof(f66385,plain,(
% 77.84/10.21 ~c_lessequals(v_e,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 77.84/10.21 inference(resolution,[status(thm)],[f66365,f2367])).
% 77.84/10.21 fof(f66472,plain,(
% 77.84/10.21 ![X0]: (~c_lessequals(c_HOL_Oplus__class_Oplus(v_e,X0,tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|~spl0_178|~spl0_5)),
% 77.84/10.21 inference(resolution,[status(thm)],[f66385,f60409])).
% 77.84/10.21 fof(f67782,plain,(
% 77.84/10.21 ![X0,X1]: (c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)|c_lessequals(X1,X0,tc_RealDef_Oreal))),
% 77.84/10.21 inference(resolution,[status(thm)],[f1946,f2513])).
% 77.84/10.21 fof(f67787,plain,(
% 77.84/10.21 c_lessequals(v_e,c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)|spl0_274),
% 77.84/10.21 inference(resolution,[status(thm)],[f67782,f49328])).
% 77.84/10.21 fof(f67902,plain,(
% 77.84/10.21 ![X0]: (c_lessequals(c_HOL_Oplus__class_Oplus(X0,v_e,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X0,c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_274)),
% 77.84/10.21 inference(resolution,[status(thm)],[f67787,f1086])).
% 78.93/10.33 fof(f67908,plain,(
% 78.93/10.33 ![X0]: (c_lessequals(c_HOL_Oplus__class_Oplus(v_e,X0,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X0,c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_274|~spl0_178)),
% 78.93/10.33 inference(paramodulation,[status(thm)],[f30091,f67902])).
% 78.93/10.33 fof(f67996,plain,(
% 78.93/10.33 ![X0]: (c_lessequals(c_HOL_Oplus__class_Oplus(v_e,X0,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_274|~spl0_178)),
% 78.93/10.33 inference(paramodulation,[status(thm)],[f30091,f67908])).
% 78.93/10.33 fof(f71215,plain,(
% 78.93/10.33 c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 78.93/10.33 inference(resolution,[status(thm)],[f2362,f2531])).
% 78.93/10.33 fof(f71217,plain,(
% 78.93/10.33 ![X0]: (c_lessequals(c_HOL_Oplus__class_Oplus(v_e,X0,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_274|~spl0_178)),
% 78.93/10.33 inference(backward_demodulation,[status(thm)],[f71215,f67996])).
% 78.93/10.33 fof(f71218,plain,(
% 78.93/10.33 ![X0]: (c_lessequals(c_HOL_Oplus__class_Oplus(v_e,X0,tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|spl0_274|~spl0_178)),
% 78.93/10.33 inference(forward_demodulation,[status(thm)],[f45513,f71217])).
% 78.93/10.33 fof(f71219,plain,(
% 78.93/10.33 $false|~spl0_5|spl0_274|~spl0_178),
% 78.93/10.33 inference(forward_subsumption_resolution,[status(thm)],[f71218,f66472])).
% 78.93/10.33 fof(f71220,plain,(
% 78.93/10.33 ~spl0_5|spl0_274|~spl0_178),
% 78.93/10.33 inference(contradiction_clause,[status(thm)],[f71219])).
% 78.93/10.33 fof(f71415,plain,(
% 78.93/10.33 $false|~spl0_275),
% 78.93/10.33 inference(backward_subsumption_resolution,[status(thm)],[f2335,f49330])).
% 78.93/10.33 fof(f71416,plain,(
% 78.93/10.33 ~spl0_275),
% 78.93/10.33 inference(contradiction_clause,[status(thm)],[f71415])).
% 78.93/10.33 fof(f71417,plain,(
% 78.93/10.33 $false),
% 78.93/10.33 inference(sat_refutation,[status(thm)],[f7486,f7488,f29754,f29756,f49333,f71220,f71416])).
% 78.93/10.33 % SZS output end CNFRefutation for theBenchmark.p
% 79.94/10.47 % Elapsed time: 10.146789 seconds
% 79.94/10.47 % CPU time: 79.522637 seconds
% 79.94/10.47 % Total memory used: 1.919 GB
% 79.94/10.47 % Net memory used: 1.905 GB
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