TSTP Solution File: ALG363-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG363-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 20:11:25 EDT 2024
% Result : Unsatisfiable 2.54s 0.76s
% Output : CNFRefutation 2.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ALG363-1 : TPTP v8.1.2. Released v4.1.0.
% 0.10/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n026.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 23:51:04 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.39 % Drodi V3.6.0
% 2.54/0.76 % Refutation found
% 2.54/0.76 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.54/0.76 % SZS output start CNFRefutation for theBenchmark
% 2.54/0.76 fof(f23,axiom,(
% 2.54/0.76 (![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) ) ))),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f24,axiom,(
% 2.54/0.76 (![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_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) ) ))),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f34,axiom,(
% 2.54/0.76 (![T_a,V_a]: (( ~ class_Ring__and__Field_Oordered__field(T_a)| ~ class_Ring__and__Field_Odivision__by__zero(T_a)| c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)| ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ))),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f35,axiom,(
% 2.54/0.76 (![T_a,V_a]: (( ~ class_Ring__and__Field_Oordered__field(T_a)| ~ class_Ring__and__Field_Odivision__by__zero(T_a)| c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ))),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f96,axiom,(
% 2.54/0.76 (![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) ) ))),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f109,axiom,(
% 2.54/0.76 (![V_x]: (~ c_lessequals(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ))),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f132,axiom,(
% 2.54/0.76 c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f172,axiom,(
% 2.54/0.76 (![V_x]: (( c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)| V_x = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)| V_x = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ) ))),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f191,axiom,(
% 2.54/0.76 (![V_z,V_w]: (c_HOL_Otimes__class_Otimes(V_z,V_w,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(V_w,V_z,tc_RealDef_Oreal) ))),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f195,axiom,(
% 2.54/0.76 (![T_a,V_b]: (( ~ class_OrderedGroup_Ogroup__add(T_a)| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = V_b ) ))),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f201,axiom,(
% 2.54/0.76 (![T_a]: (( ~ class_OrderedGroup_Ogroup__add(T_a)| c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ))),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f225,axiom,(
% 2.54/0.76 (![T_a]: (( ~ class_RealVector_Oreal__normed__algebra__1(T_a)| c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ) ))),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f234,axiom,(
% 2.54/0.76 (![V_x,V_y]: (( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)| V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ))),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f235,axiom,(
% 2.54/0.76 (![V_x,V_y]: (( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)| V_y = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ))),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f237,axiom,(
% 2.54/0.76 c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f238,axiom,(
% 2.54/0.76 (![V_x]: (c_lessequals(c_Complex_ORe(V_x),c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal) ))),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f239,axiom,(
% 2.54/0.76 (![V_r,V_x]: (( c_lessequals(c_HOL_Ouminus__class_Ouminus(V_r,tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)| ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal),V_r,tc_RealDef_Oreal) ) ))),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f241,axiom,(
% 2.54/0.76 (![V_x,V_y]: (c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_y,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_y,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ))),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f320,axiom,(
% 2.54/0.76 (![T_a,V_a]: (( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)| c_HOL_Ouminus__class_Ouminus(V_a,T_a) != V_a| V_a = c_HOL_Ozero__class_Ozero(T_a) ) ))),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f402,axiom,(
% 2.54/0.76 (![V_z]: (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) = V_z ))),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f404,axiom,(
% 2.54/0.76 (![V_z1,V_z2,V_w]: (c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_z1,V_z2,tc_RealDef_Oreal),V_w,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_z1,V_w,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_z2,V_w,tc_RealDef_Oreal),tc_RealDef_Oreal) ))),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f423,axiom,(
% 2.54/0.76 (![V_x,V_y]: (c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ))),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f426,axiom,(
% 2.54/0.76 (![V_x,V_y]: (( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)| V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ))),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f427,axiom,(
% 2.54/0.76 (![V_x,V_y]: (( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)| V_y = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ))),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f435,axiom,(
% 2.54/0.76 (![V_r]: (( c_HOL_Oabs__class_Oabs(V_r,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(V_r,tc_RealDef_Oreal)| ~ c_HOL_Oord__class_Oless(V_r,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ))),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f439,axiom,(
% 2.54/0.76 (![V_x]: (c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(V_x),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal) ))),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f444,axiom,(
% 2.54/0.76 (![V_n]: (c_lessequals(c_RealVector_Onorm__class_Onorm(v_s(V_n),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal) ))),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f452,axiom,(
% 2.54/0.76 (![V_x]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ))),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f459,axiom,(
% 2.54/0.76 (![T_a,V_a]: (( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)| c_lessequals(V_a,c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ))),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f463,axiom,(
% 2.54/0.76 (![V_x]: (~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ))),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f466,axiom,(
% 2.54/0.76 (![V_x]: (~ c_HOL_Oord__class_Oless(V_x,V_x,tc_RealDef_Oreal) ))),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f473,axiom,(
% 2.54/0.76 (![V_x,V_y]: (( c_lessequals(V_x,V_y,tc_RealDef_Oreal)| ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) ) ))),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f479,axiom,(
% 2.54/0.76 (![V_r]: (( c_HOL_Oabs__class_Oabs(V_r,tc_RealDef_Oreal) = V_r| c_HOL_Oord__class_Oless(V_r,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ))),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f493,axiom,(
% 2.54/0.76 (![V_i,V_k,V_j]: (( c_lessequals(V_i,V_k,tc_RealDef_Oreal)| ~ c_lessequals(V_j,V_k,tc_RealDef_Oreal)| ~ c_lessequals(V_i,V_j,tc_RealDef_Oreal) ) ))),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f494,axiom,(
% 2.54/0.76 (![V_w]: (c_lessequals(V_w,V_w,tc_RealDef_Oreal) ))),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f507,axiom,(
% 2.54/0.76 (![V_w,V_z]: (( c_lessequals(V_w,V_z,tc_RealDef_Oreal)| c_lessequals(V_z,V_w,tc_RealDef_Oreal) ) ))),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f514,axiom,(
% 2.54/0.76 c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f533,axiom,(
% 2.54/0.76 (![V_x,V_y]: (( c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)| V_x = V_y| ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ))),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f536,axiom,(
% 2.54/0.76 c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal) ),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f537,axiom,(
% 2.54/0.76 (![V_n]: (c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(v_s(V_n)),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ))),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f556,axiom,(
% 2.54/0.76 (![V_z,V_w]: (( V_z = V_w| ~ c_lessequals(V_w,V_z,tc_RealDef_Oreal)| ~ c_lessequals(V_z,V_w,tc_RealDef_Oreal) ) ))),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f573,axiom,(
% 2.54/0.76 (![V_x,V_r]: (( c_lessequals(V_x,V_r,tc_RealDef_Oreal)| ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal),V_r,tc_RealDef_Oreal) ) ))),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f601,axiom,(
% 2.54/0.76 (![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 ) ))),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f605,axiom,(
% 2.54/0.76 (![T_a,V_a]: (( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ))),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f606,axiom,(
% 2.54/0.76 (![T_a,V_a]: (( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)| c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ))),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f612,negated_conjecture,(
% 2.54/0.76 ( ~ c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(v_s(v_f____(v_x))),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f619,axiom,(
% 2.54/0.76 class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f628,axiom,(
% 2.54/0.76 class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f635,axiom,(
% 2.54/0.76 class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f637,axiom,(
% 2.54/0.76 class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f644,axiom,(
% 2.54/0.76 class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f649,axiom,(
% 2.54/0.76 class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f658,axiom,(
% 2.54/0.76 class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f659,axiom,(
% 2.54/0.76 class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f674,axiom,(
% 2.54/0.76 class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f680,axiom,(
% 2.54/0.76 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
% 2.54/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.54/0.76 fof(f729,plain,(
% 2.54/0.76 ![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))),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f23])).
% 2.54/0.76 fof(f730,plain,(
% 2.54/0.76 ![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_Ozero__class_Ozero(X0),X0)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0))),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f24])).
% 2.54/0.76 fof(f740,plain,(
% 2.54/0.76 ![X0,X1]: (~class_Ring__and__Field_Oordered__field(X0)|~class_Ring__and__Field_Odivision__by__zero(X0)|c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)|~c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0))),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f34])).
% 2.54/0.76 fof(f741,plain,(
% 2.54/0.76 ![X0,X1]: (~class_Ring__and__Field_Oordered__field(X0)|~class_Ring__and__Field_Odivision__by__zero(X0)|c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0))),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f35])).
% 2.54/0.76 fof(f835,plain,(
% 2.54/0.76 ![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))),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f96])).
% 2.54/0.76 fof(f854,plain,(
% 2.54/0.76 ![X0]: (~c_lessequals(c_Transcendental_Oexp(X0,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f109])).
% 2.54/0.76 fof(f894,plain,(
% 2.54/0.76 c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal)),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f132])).
% 2.54/0.76 fof(f962,plain,(
% 2.54/0.76 ![X0]: (~c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal)|X0=c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|X0=c_HOL_Oone__class_Oone(tc_RealDef_Oreal))),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f172])).
% 2.54/0.76 fof(f996,plain,(
% 2.54/0.76 ![X0,X1]: (c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal))),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f191])).
% 2.54/0.76 fof(f1002,plain,(
% 2.54/0.76 ![T_a]: (~class_OrderedGroup_Ogroup__add(T_a)|(![V_b]: c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)=V_b))),
% 2.54/0.76 inference(miniscoping,[status(esa)],[f195])).
% 2.54/0.76 fof(f1003,plain,(
% 2.54/0.76 ![X0,X1]: (~class_OrderedGroup_Ogroup__add(X0)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0)=X1)),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f1002])).
% 2.54/0.76 fof(f1013,plain,(
% 2.54/0.76 ![X0]: (~class_OrderedGroup_Ogroup__add(X0)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0)=c_HOL_Ozero__class_Ozero(X0))),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f201])).
% 2.54/0.76 fof(f1047,plain,(
% 2.54/0.76 ![X0]: (~class_RealVector_Oreal__normed__algebra__1(X0)|c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(X0),X0)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal))),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f225])).
% 2.54/0.76 fof(f1056,plain,(
% 2.54/0.76 ![V_x]: ((![V_y]: ~c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))|V_x=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 2.54/0.76 inference(miniscoping,[status(esa)],[f234])).
% 2.54/0.76 fof(f1057,plain,(
% 2.54/0.76 ![X0,X1]: (~c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|X0=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f1056])).
% 2.54/0.76 fof(f1058,plain,(
% 2.54/0.76 ![V_y]: ((![V_x]: ~c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))|V_y=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 2.54/0.76 inference(miniscoping,[status(esa)],[f235])).
% 2.54/0.76 fof(f1059,plain,(
% 2.54/0.76 ![X0,X1]: (~c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|X1=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f1058])).
% 2.54/0.76 fof(f1061,plain,(
% 2.54/0.76 c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f237])).
% 2.54/0.76 fof(f1062,plain,(
% 2.54/0.76 ![X0]: (c_lessequals(c_Complex_ORe(X0),c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),tc_RealDef_Oreal))),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f238])).
% 2.54/0.76 fof(f1063,plain,(
% 2.54/0.76 ![X0,X1]: (c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)|~c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X0,tc_RealDef_Oreal))),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f239])).
% 2.54/0.76 fof(f1065,plain,(
% 2.54/0.76 ![X0,X1]: (c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f241])).
% 2.54/0.76 fof(f1183,plain,(
% 2.54/0.76 ![X0,X1]: (~class_OrderedGroup_Oordered__ab__group__add(X0)|~c_HOL_Ouminus__class_Ouminus(X1,X0)=X1|X1=c_HOL_Ozero__class_Ozero(X0))),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f320])).
% 2.54/0.76 fof(f1307,plain,(
% 2.54/0.76 ![X0]: (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)=X0)),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f402])).
% 2.54/0.76 fof(f1309,plain,(
% 2.54/0.76 ![X0,X1,X2]: (c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f404])).
% 2.54/0.76 fof(f1329,plain,(
% 2.54/0.76 ![X0,X1]: (c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f423])).
% 2.54/0.76 fof(f1332,plain,(
% 2.54/0.76 ![V_x]: ((![V_y]: c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal))|V_x=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 2.54/0.76 inference(miniscoping,[status(esa)],[f426])).
% 2.54/0.76 fof(f1333,plain,(
% 2.54/0.76 ![X0,X1]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|X0=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f1332])).
% 2.54/0.76 fof(f1334,plain,(
% 2.54/0.76 ![V_y]: ((![V_x]: c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal))|V_y=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 2.54/0.76 inference(miniscoping,[status(esa)],[f427])).
% 2.54/0.76 fof(f1335,plain,(
% 2.54/0.76 ![X0,X1]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|X1=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f1334])).
% 2.54/0.76 fof(f1344,plain,(
% 2.54/0.76 ![X0]: (c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal)=c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f435])).
% 2.54/0.76 fof(f1348,plain,(
% 2.54/0.76 ![X0]: (c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(X0),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),tc_RealDef_Oreal))),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f439])).
% 2.54/0.76 fof(f1353,plain,(
% 2.54/0.76 ![X0]: (c_lessequals(c_RealVector_Onorm__class_Onorm(v_s(X0),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal))),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f444])).
% 2.54/0.76 fof(f1361,plain,(
% 2.54/0.76 ![X0]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f452])).
% 2.54/0.76 fof(f1373,plain,(
% 2.54/0.76 ![T_a]: (~class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|(![V_a]: c_lessequals(V_a,c_HOL_Oabs__class_Oabs(V_a,T_a),T_a)))),
% 2.54/0.76 inference(miniscoping,[status(esa)],[f459])).
% 2.54/0.76 fof(f1374,plain,(
% 2.54/0.76 ![X0,X1]: (~class_OrderedGroup_Opordered__ab__group__add__abs(X0)|c_lessequals(X1,c_HOL_Oabs__class_Oabs(X1,X0),X0))),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f1373])).
% 2.54/0.76 fof(f1378,plain,(
% 2.54/0.76 ![X0]: (~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),X0,tc_RealDef_Oreal))),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f463])).
% 2.54/0.76 fof(f1383,plain,(
% 2.54/0.76 ![X0]: (~c_HOL_Oord__class_Oless(X0,X0,tc_RealDef_Oreal))),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f466])).
% 2.54/0.76 fof(f1393,plain,(
% 2.54/0.76 ![X0,X1]: (c_lessequals(X0,X1,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal))),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f473])).
% 2.54/0.76 fof(f1400,plain,(
% 2.54/0.76 ![X0]: (c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal)=X0|c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f479])).
% 2.54/0.76 fof(f1423,plain,(
% 2.54/0.76 ![V_i,V_j]: ((![V_k]: (c_lessequals(V_i,V_k,tc_RealDef_Oreal)|~c_lessequals(V_j,V_k,tc_RealDef_Oreal)))|~c_lessequals(V_i,V_j,tc_RealDef_Oreal))),
% 2.54/0.76 inference(miniscoping,[status(esa)],[f493])).
% 2.54/0.76 fof(f1424,plain,(
% 2.54/0.76 ![X0,X1,X2]: (c_lessequals(X0,X1,tc_RealDef_Oreal)|~c_lessequals(X2,X1,tc_RealDef_Oreal)|~c_lessequals(X0,X2,tc_RealDef_Oreal))),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f1423])).
% 2.54/0.76 fof(f1425,plain,(
% 2.54/0.76 ![X0]: (c_lessequals(X0,X0,tc_RealDef_Oreal))),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f494])).
% 2.54/0.76 fof(f1447,plain,(
% 2.54/0.76 ![X0,X1]: (c_lessequals(X0,X1,tc_RealDef_Oreal)|c_lessequals(X1,X0,tc_RealDef_Oreal))),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f507])).
% 2.54/0.76 fof(f1457,plain,(
% 2.54/0.76 ~c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal)),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f514])).
% 2.54/0.76 fof(f1485,plain,(
% 2.54/0.76 ![X0,X1]: (c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)|X0=X1|~c_lessequals(X0,X1,tc_RealDef_Oreal))),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f533])).
% 2.54/0.76 fof(f1488,plain,(
% 2.54/0.76 c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal)),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f536])).
% 2.54/0.76 fof(f1489,plain,(
% 2.54/0.76 ![X0]: (c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(v_s(X0)),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f537])).
% 2.54/0.76 fof(f1519,plain,(
% 2.54/0.76 ![X0,X1]: (X0=X1|~c_lessequals(X1,X0,tc_RealDef_Oreal)|~c_lessequals(X0,X1,tc_RealDef_Oreal))),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f556])).
% 2.54/0.76 fof(f1543,plain,(
% 2.54/0.76 ![X0,X1]: (c_lessequals(X0,X1,tc_RealDef_Oreal)|~c_lessequals(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal))),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f573])).
% 2.54/0.76 fof(f1586,plain,(
% 2.54/0.76 ![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))),
% 2.54/0.76 inference(miniscoping,[status(esa)],[f601])).
% 2.54/0.76 fof(f1587,plain,(
% 2.54/0.76 ![X0,X1]: (~class_OrderedGroup_Omonoid__add(X0)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0)=X1)),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f1586])).
% 2.54/0.76 fof(f1594,plain,(
% 2.54/0.76 ![T_a]: (~class_OrderedGroup_Ocomm__monoid__add(T_a)|(![V_a]: c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)=V_a))),
% 2.54/0.76 inference(miniscoping,[status(esa)],[f605])).
% 2.54/0.76 fof(f1595,plain,(
% 2.54/0.76 ![X0,X1]: (~class_OrderedGroup_Ocomm__monoid__add(X0)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0)=X1)),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f1594])).
% 2.54/0.76 fof(f1596,plain,(
% 2.54/0.76 ![T_a]: (~class_Ring__and__Field_Ocomm__semiring__1(T_a)|(![V_a]: c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=V_a))),
% 2.54/0.76 inference(miniscoping,[status(esa)],[f606])).
% 2.54/0.76 fof(f1597,plain,(
% 2.54/0.76 ![X0,X1]: (~class_Ring__and__Field_Ocomm__semiring__1(X0)|c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0)=X1)),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f1596])).
% 2.54/0.76 fof(f1606,plain,(
% 2.54/0.76 ~c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(v_s(v_f____(v_x))),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f612])).
% 2.54/0.76 fof(f1613,plain,(
% 2.54/0.76 class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal)),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f619])).
% 2.54/0.76 fof(f1622,plain,(
% 2.54/0.76 class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal)),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f628])).
% 2.54/0.76 fof(f1629,plain,(
% 2.54/0.76 class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f635])).
% 2.54/0.76 fof(f1631,plain,(
% 2.54/0.76 class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal)),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f637])).
% 2.54/0.76 fof(f1638,plain,(
% 2.54/0.76 class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal)),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f644])).
% 2.54/0.76 fof(f1643,plain,(
% 2.54/0.76 class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal)),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f649])).
% 2.54/0.76 fof(f1652,plain,(
% 2.54/0.76 class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal)),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f658])).
% 2.54/0.76 fof(f1653,plain,(
% 2.54/0.76 class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal)),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f659])).
% 2.54/0.76 fof(f1668,plain,(
% 2.54/0.76 class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex)),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f674])).
% 2.54/0.76 fof(f1674,plain,(
% 2.54/0.76 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)),
% 2.54/0.76 inference(cnf_transformation,[status(esa)],[f680])).
% 2.54/0.76 fof(f1700,plain,(
% 2.54/0.76 spl0_2 <=> c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(v_s(v_f____(v_x))),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f1702,plain,(
% 2.54/0.76 ~c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(v_s(v_f____(v_x))),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_2),
% 2.54/0.76 inference(component_clause,[status(thm)],[f1700])).
% 2.54/0.76 fof(f1703,plain,(
% 2.54/0.76 spl0_3 <=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f1705,plain,(
% 2.54/0.76 ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_3),
% 2.54/0.76 inference(component_clause,[status(thm)],[f1703])).
% 2.54/0.76 fof(f1706,plain,(
% 2.54/0.76 ~spl0_2|~spl0_3),
% 2.54/0.76 inference(split_clause,[status(thm)],[f1606,f1700,f1703])).
% 2.54/0.76 fof(f1710,plain,(
% 2.54/0.76 spl0_4 <=> v_r=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f1711,plain,(
% 2.54/0.76 v_r=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_4),
% 2.54/0.76 inference(component_clause,[status(thm)],[f1710])).
% 2.54/0.76 fof(f1712,plain,(
% 2.54/0.76 ~v_r=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|spl0_4),
% 2.54/0.76 inference(component_clause,[status(thm)],[f1710])).
% 2.54/0.76 fof(f1718,plain,(
% 2.54/0.76 ![X0,X1]: (X0=X1|~c_lessequals(X0,X1,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X1,X0,tc_RealDef_Oreal))),
% 2.54/0.76 inference(resolution,[status(thm)],[f1519,f1393])).
% 2.54/0.76 fof(f1721,plain,(
% 2.54/0.76 ![X0]: (c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal)=X0|c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)=X0|~c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal))),
% 2.54/0.76 inference(resolution,[status(thm)],[f1400,f1718])).
% 2.54/0.76 fof(f1722,plain,(
% 2.54/0.76 c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 2.54/0.76 inference(resolution,[status(thm)],[f1400,f1383])).
% 2.54/0.76 fof(f1723,plain,(
% 2.54/0.76 spl0_6 <=> c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f1726,plain,(
% 2.54/0.76 spl0_7 <=> c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f1727,plain,(
% 2.54/0.76 c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal)|~spl0_7),
% 2.54/0.76 inference(component_clause,[status(thm)],[f1726])).
% 2.54/0.76 fof(f1729,plain,(
% 2.54/0.76 c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal)),
% 2.54/0.76 inference(resolution,[status(thm)],[f962,f894])).
% 2.54/0.76 fof(f1730,plain,(
% 2.54/0.76 spl0_6|spl0_7),
% 2.54/0.76 inference(split_clause,[status(thm)],[f1729,f1723,f1726])).
% 2.54/0.76 fof(f1731,plain,(
% 2.54/0.76 spl0_8 <=> c_HOL_Oone__class_Oone(tc_RealDef_Oreal)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f1734,plain,(
% 2.54/0.76 c_HOL_Oone__class_Oone(tc_RealDef_Oreal)=c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|c_HOL_Oone__class_Oone(tc_RealDef_Oreal)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal)),
% 2.54/0.76 inference(resolution,[status(thm)],[f962,f1307])).
% 2.54/0.76 fof(f1735,plain,(
% 2.54/0.76 spl0_7|spl0_8),
% 2.54/0.76 inference(split_clause,[status(thm)],[f1734,f1726,f1731])).
% 2.54/0.76 fof(f1740,plain,(
% 2.54/0.76 spl0_9 <=> ~c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f1741,plain,(
% 2.54/0.76 ![X0]: (~c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_9)),
% 2.54/0.76 inference(component_clause,[status(thm)],[f1740])).
% 2.54/0.76 fof(f1748,plain,(
% 2.54/0.76 spl0_11 <=> c_HOL_Oone__class_Oone(tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f1749,plain,(
% 2.54/0.76 c_HOL_Oone__class_Oone(tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_11),
% 2.54/0.76 inference(component_clause,[status(thm)],[f1748])).
% 2.54/0.76 fof(f1751,plain,(
% 2.54/0.76 ![X0]: (~c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|c_HOL_Oone__class_Oone(tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 2.54/0.76 inference(paramodulation,[status(thm)],[f1307,f1057])).
% 2.54/0.76 fof(f1752,plain,(
% 2.54/0.76 spl0_9|spl0_11),
% 2.54/0.76 inference(split_clause,[status(thm)],[f1751,f1740,f1748])).
% 2.54/0.76 fof(f1790,plain,(
% 2.54/0.76 spl0_14 <=> ~c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f1793,plain,(
% 2.54/0.76 ![X0]: (~c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|c_HOL_Oone__class_Oone(tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 2.54/0.76 inference(paramodulation,[status(thm)],[f1307,f1059])).
% 2.54/0.76 fof(f1794,plain,(
% 2.54/0.76 spl0_14|spl0_11),
% 2.54/0.76 inference(split_clause,[status(thm)],[f1793,f1790,f1748])).
% 2.54/0.76 fof(f1795,plain,(
% 2.54/0.76 $false|~spl0_11),
% 2.54/0.76 inference(forward_subsumption_resolution,[status(thm)],[f1749,f1457])).
% 2.54/0.76 fof(f1796,plain,(
% 2.54/0.76 ~spl0_11),
% 2.54/0.76 inference(contradiction_clause,[status(thm)],[f1795])).
% 2.54/0.76 fof(f1809,plain,(
% 2.54/0.76 ![X0,X1]: (~c_lessequals(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)|X1=X0|~c_lessequals(X1,X0,tc_RealDef_Oreal))),
% 2.54/0.76 inference(resolution,[status(thm)],[f1543,f1519])).
% 2.54/0.76 fof(f1816,plain,(
% 2.54/0.76 spl0_16 <=> c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(c_Complex_ORe(v_s(v_f____(v_x))),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f1818,plain,(
% 2.54/0.76 ~c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(c_Complex_ORe(v_s(v_f____(v_x))),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_16),
% 2.54/0.76 inference(component_clause,[status(thm)],[f1816])).
% 2.54/0.76 fof(f1821,plain,(
% 2.54/0.76 spl0_17 <=> c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)=c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f1822,plain,(
% 2.54/0.76 c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)=c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_17),
% 2.54/0.76 inference(component_clause,[status(thm)],[f1821])).
% 2.54/0.76 fof(f1823,plain,(
% 2.54/0.76 ~c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)=c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_17),
% 2.54/0.76 inference(component_clause,[status(thm)],[f1821])).
% 2.54/0.76 fof(f1824,plain,(
% 2.54/0.76 spl0_18 <=> c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f1826,plain,(
% 2.54/0.76 ~c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_18),
% 2.54/0.76 inference(component_clause,[status(thm)],[f1824])).
% 2.54/0.76 fof(f1827,plain,(
% 2.54/0.76 c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)=c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_3),
% 2.54/0.76 inference(resolution,[status(thm)],[f1705,f1485])).
% 2.54/0.76 fof(f1828,plain,(
% 2.54/0.76 spl0_17|~spl0_18|spl0_3),
% 2.54/0.76 inference(split_clause,[status(thm)],[f1827,f1821,f1824,f1703])).
% 2.54/0.76 fof(f1831,plain,(
% 2.54/0.76 c_lessequals(c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_18),
% 2.54/0.76 inference(resolution,[status(thm)],[f1826,f1447])).
% 2.54/0.76 fof(f1858,plain,(
% 2.54/0.76 ![X0,X1,X2]: (~c_lessequals(X0,X1,tc_RealDef_Oreal)|~c_lessequals(X2,X0,tc_RealDef_Oreal)|X1=X2|~c_lessequals(X1,X2,tc_RealDef_Oreal))),
% 2.54/0.76 inference(resolution,[status(thm)],[f1424,f1519])).
% 2.54/0.76 fof(f1864,plain,(
% 2.54/0.76 ![X0]: (c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal)=X0|~c_lessequals(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),X0,tc_RealDef_Oreal))),
% 2.54/0.76 inference(resolution,[status(thm)],[f1809,f1425])).
% 2.54/0.76 fof(f1871,plain,(
% 2.54/0.76 spl0_19 <=> c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal)=v_r),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f1872,plain,(
% 2.54/0.76 c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal)=v_r|~spl0_19),
% 2.54/0.76 inference(component_clause,[status(thm)],[f1871])).
% 2.54/0.76 fof(f1874,plain,(
% 2.54/0.76 spl0_20 <=> c_lessequals(v_r,v_r,tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f1876,plain,(
% 2.54/0.76 ~c_lessequals(v_r,v_r,tc_RealDef_Oreal)|spl0_20),
% 2.54/0.76 inference(component_clause,[status(thm)],[f1874])).
% 2.54/0.76 fof(f1879,plain,(
% 2.54/0.76 spl0_21 <=> c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f1882,plain,(
% 2.54/0.76 spl0_22 <=> c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f1884,plain,(
% 2.54/0.76 ~c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_22),
% 2.54/0.76 inference(component_clause,[status(thm)],[f1882])).
% 2.54/0.76 fof(f1887,plain,(
% 2.54/0.76 $false|spl0_22),
% 2.54/0.76 inference(forward_subsumption_resolution,[status(thm)],[f1884,f1425])).
% 2.54/0.76 fof(f1888,plain,(
% 2.54/0.76 spl0_22),
% 2.54/0.76 inference(contradiction_clause,[status(thm)],[f1887])).
% 2.54/0.76 fof(f1889,plain,(
% 2.54/0.76 $false|spl0_20),
% 2.54/0.76 inference(forward_subsumption_resolution,[status(thm)],[f1876,f1425])).
% 2.54/0.76 fof(f1890,plain,(
% 2.54/0.76 spl0_20),
% 2.54/0.76 inference(contradiction_clause,[status(thm)],[f1889])).
% 2.54/0.76 fof(f1921,plain,(
% 2.54/0.76 ![X0]: (c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal)=c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal)|c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal)=X0)),
% 2.54/0.76 inference(resolution,[status(thm)],[f1344,f1400])).
% 2.54/0.76 fof(f1923,plain,(
% 2.54/0.76 spl0_26 <=> c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)=c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f1925,plain,(
% 2.54/0.76 ~c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)=c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_26),
% 2.54/0.76 inference(component_clause,[status(thm)],[f1923])).
% 2.54/0.76 fof(f1936,plain,(
% 2.54/0.76 spl0_29 <=> c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(c_Complex_ORe(v_s(v_f____(v_x))),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f1938,plain,(
% 2.54/0.76 ~c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(c_Complex_ORe(v_s(v_f____(v_x))),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_29),
% 2.54/0.76 inference(component_clause,[status(thm)],[f1936])).
% 2.54/0.76 fof(f1939,plain,(
% 2.54/0.76 spl0_30 <=> c_HOL_Oabs__class_Oabs(c_Complex_ORe(v_s(v_f____(v_x))),tc_RealDef_Oreal)=c_Complex_ORe(v_s(v_f____(v_x)))),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f1968,plain,(
% 2.54/0.76 ![X0]: (c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal)=X0|~c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal)=X0)),
% 2.54/0.76 inference(paramodulation,[status(thm)],[f1921,f1864])).
% 2.54/0.76 fof(f1969,plain,(
% 2.54/0.76 ![X0]: (c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal)=X0|~c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),X0,tc_RealDef_Oreal))),
% 2.54/0.76 inference(duplicate_literals_removal,[status(esa)],[f1968])).
% 2.54/0.76 fof(f1972,plain,(
% 2.54/0.76 ![X0]: (~c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal)=X0|c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal)=X0)),
% 2.54/0.76 inference(equality_factoring,[status(esa)],[f1921])).
% 2.54/0.76 fof(f1974,plain,(
% 2.54/0.76 spl0_34 <=> c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f1990,plain,(
% 2.54/0.76 ![X0,X1]: (c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal)=X0|~c_lessequals(X1,X0,tc_RealDef_Oreal)|~c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal))),
% 2.54/0.76 inference(resolution,[status(thm)],[f1969,f1424])).
% 2.54/0.76 fof(f2001,plain,(
% 2.54/0.76 spl0_37 <=> c_lessequals(c_Complex_ORe(v_s(v_f____(v_x))),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f2002,plain,(
% 2.54/0.76 c_lessequals(c_Complex_ORe(v_s(v_f____(v_x))),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_37),
% 2.54/0.76 inference(component_clause,[status(thm)],[f2001])).
% 2.54/0.76 fof(f2003,plain,(
% 2.54/0.76 ~c_lessequals(c_Complex_ORe(v_s(v_f____(v_x))),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_37),
% 2.54/0.76 inference(component_clause,[status(thm)],[f2001])).
% 2.54/0.76 fof(f2004,plain,(
% 2.54/0.76 spl0_38 <=> c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Complex_ORe(v_s(v_f____(v_x))),tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f2005,plain,(
% 2.54/0.76 c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Complex_ORe(v_s(v_f____(v_x))),tc_RealDef_Oreal)|~spl0_38),
% 2.54/0.76 inference(component_clause,[status(thm)],[f2004])).
% 2.54/0.76 fof(f2006,plain,(
% 2.54/0.76 ~c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Complex_ORe(v_s(v_f____(v_x))),tc_RealDef_Oreal)|spl0_38),
% 2.54/0.76 inference(component_clause,[status(thm)],[f2004])).
% 2.54/0.76 fof(f2044,plain,(
% 2.54/0.76 ~c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(v_s(v_f____(v_x))),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_37),
% 2.54/0.76 inference(resolution,[status(thm)],[f2003,f1543])).
% 2.54/0.76 fof(f2048,plain,(
% 2.54/0.76 spl0_42 <=> c_Complex_ORe(v_s(v_f____(v_x)))=c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f2062,plain,(
% 2.54/0.76 c_lessequals(c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),v_r,tc_RealDef_Oreal)|~spl0_4|spl0_18),
% 2.54/0.76 inference(backward_demodulation,[status(thm)],[f1711,f1831])).
% 2.54/0.76 fof(f2079,plain,(
% 2.54/0.76 ~v_r=c_HOL_Oone__class_Oone(tc_RealDef_Oreal)|~spl0_4),
% 2.54/0.76 inference(backward_demodulation,[status(thm)],[f1711,f1457])).
% 2.54/0.76 fof(f2098,plain,(
% 2.54/0.76 ~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),v_r,tc_RealDef_Oreal)|~spl0_19),
% 2.54/0.76 inference(paramodulation,[status(thm)],[f1872,f1378])).
% 2.54/0.76 fof(f2099,plain,(
% 2.54/0.76 spl0_45 <=> v_r=c_HOL_Oone__class_Oone(tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f2100,plain,(
% 2.54/0.76 v_r=c_HOL_Oone__class_Oone(tc_RealDef_Oreal)|~spl0_45),
% 2.54/0.76 inference(component_clause,[status(thm)],[f2099])).
% 2.54/0.76 fof(f2132,plain,(
% 2.54/0.76 spl0_49 <=> v_r=c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f2133,plain,(
% 2.54/0.76 v_r=c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_49),
% 2.54/0.76 inference(component_clause,[status(thm)],[f2132])).
% 2.54/0.76 fof(f2135,plain,(
% 2.54/0.76 spl0_50 <=> c_lessequals(v_r,c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f2137,plain,(
% 2.54/0.76 ~c_lessequals(v_r,c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_50),
% 2.54/0.76 inference(component_clause,[status(thm)],[f2135])).
% 2.54/0.76 fof(f2140,plain,(
% 2.54/0.76 $false|~spl0_4|~spl0_45),
% 2.54/0.76 inference(forward_subsumption_resolution,[status(thm)],[f2100,f2079])).
% 2.54/0.76 fof(f2141,plain,(
% 2.54/0.76 ~spl0_4|~spl0_45),
% 2.54/0.76 inference(contradiction_clause,[status(thm)],[f2140])).
% 2.54/0.76 fof(f2226,plain,(
% 2.54/0.76 spl0_53 <=> v_r=v_r),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f2228,plain,(
% 2.54/0.76 ~v_r=v_r|spl0_53),
% 2.54/0.76 inference(component_clause,[status(thm)],[f2226])).
% 2.54/0.76 fof(f2234,plain,(
% 2.54/0.76 spl0_54 <=> c_lessequals(c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),v_r,tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f2236,plain,(
% 2.54/0.76 ~c_lessequals(c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),v_r,tc_RealDef_Oreal)|spl0_54),
% 2.54/0.76 inference(component_clause,[status(thm)],[f2234])).
% 2.54/0.76 fof(f2245,plain,(
% 2.54/0.76 ![X0,X1]: (~c_lessequals(c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),X1,tc_RealDef_Oreal)|X1=c_Complex_ORe(X0)|~c_lessequals(X1,c_Complex_ORe(X0),tc_RealDef_Oreal))),
% 2.54/0.76 inference(resolution,[status(thm)],[f1858,f1062])).
% 2.54/0.76 fof(f2277,plain,(
% 2.54/0.76 ![X0,X1,X2]: (~c_lessequals(X0,X1,tc_RealDef_Oreal)|~c_lessequals(X2,X0,tc_RealDef_Oreal)|X1=X2|~c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal))),
% 2.54/0.76 inference(resolution,[status(thm)],[f1858,f1393])).
% 2.54/0.76 fof(f2287,plain,(
% 2.54/0.76 spl0_57 <=> c_lessequals(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal),v_r,tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f2289,plain,(
% 2.54/0.76 ~c_lessequals(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal),v_r,tc_RealDef_Oreal)|spl0_57),
% 2.54/0.76 inference(component_clause,[status(thm)],[f2287])).
% 2.54/0.76 fof(f2363,plain,(
% 2.54/0.76 spl0_64 <=> c_lessequals(c_RealVector_Onorm__class_Onorm(v_s(v_f____(v_x)),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f2365,plain,(
% 2.54/0.76 ~c_lessequals(c_RealVector_Onorm__class_Onorm(v_s(v_f____(v_x)),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)|spl0_64),
% 2.54/0.76 inference(component_clause,[status(thm)],[f2363])).
% 2.54/0.76 fof(f2371,plain,(
% 2.54/0.76 $false|spl0_64),
% 2.54/0.76 inference(forward_subsumption_resolution,[status(thm)],[f2365,f1353])).
% 2.54/0.76 fof(f2372,plain,(
% 2.54/0.76 spl0_64),
% 2.54/0.76 inference(contradiction_clause,[status(thm)],[f2371])).
% 2.54/0.76 fof(f2389,plain,(
% 2.54/0.76 ~v_r=c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_4|spl0_17),
% 2.54/0.76 inference(forward_demodulation,[status(thm)],[f1711,f1823])).
% 2.54/0.76 fof(f2432,plain,(
% 2.54/0.76 spl0_72 <=> c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f2434,plain,(
% 2.54/0.76 ~c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_72),
% 2.54/0.76 inference(component_clause,[status(thm)],[f2432])).
% 2.54/0.76 fof(f2457,plain,(
% 2.54/0.76 ~c_lessequals(v_r,v_r,tc_RealDef_Oreal)|~spl0_19|spl0_57),
% 2.54/0.76 inference(forward_demodulation,[status(thm)],[f1872,f2289])).
% 2.54/0.76 fof(f2458,plain,(
% 2.54/0.76 $false|~spl0_19|spl0_57),
% 2.54/0.76 inference(forward_subsumption_resolution,[status(thm)],[f2457,f1425])).
% 2.54/0.76 fof(f2459,plain,(
% 2.54/0.76 ~spl0_19|spl0_57),
% 2.54/0.76 inference(contradiction_clause,[status(thm)],[f2458])).
% 2.54/0.76 fof(f2496,plain,(
% 2.54/0.76 c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)=v_r|~c_lessequals(c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),v_r,tc_RealDef_Oreal)|~spl0_19),
% 2.54/0.76 inference(resolution,[status(thm)],[f2098,f1485])).
% 2.54/0.76 fof(f2497,plain,(
% 2.54/0.76 spl0_49|~spl0_54|~spl0_19),
% 2.54/0.76 inference(split_clause,[status(thm)],[f2496,f2132,f2234,f1871])).
% 2.54/0.76 fof(f2501,plain,(
% 2.54/0.76 c_lessequals(c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),v_r,tc_RealDef_Oreal)|spl0_50),
% 2.54/0.76 inference(resolution,[status(thm)],[f2137,f1447])).
% 2.54/0.76 fof(f2508,plain,(
% 2.54/0.76 spl0_74 <=> c_lessequals(c_HOL_Ouminus__class_Ouminus(v_r,tc_RealDef_Oreal),v_r,tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f2510,plain,(
% 2.54/0.76 ~c_lessequals(c_HOL_Ouminus__class_Ouminus(v_r,tc_RealDef_Oreal),v_r,tc_RealDef_Oreal)|spl0_74),
% 2.54/0.76 inference(component_clause,[status(thm)],[f2508])).
% 2.54/0.76 fof(f2535,plain,(
% 2.54/0.76 ~c_lessequals(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal),v_r,tc_RealDef_Oreal)|spl0_74),
% 2.54/0.76 inference(resolution,[status(thm)],[f2510,f1063])).
% 2.54/0.76 fof(f2536,plain,(
% 2.54/0.76 ~spl0_57|spl0_74),
% 2.54/0.76 inference(split_clause,[status(thm)],[f2535,f2287,f2508])).
% 2.54/0.76 fof(f2602,plain,(
% 2.54/0.76 spl0_81 <=> ~c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(v_r,X0,tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f2603,plain,(
% 2.54/0.76 ![X0]: (~c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(v_r,X0,tc_RealDef_Oreal)|~spl0_81)),
% 2.54/0.76 inference(component_clause,[status(thm)],[f2602])).
% 2.54/0.76 fof(f2605,plain,(
% 2.54/0.76 ![X0]: (~c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(v_r,X0,tc_RealDef_Oreal)|c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)=v_r)),
% 2.54/0.76 inference(resolution,[status(thm)],[f1488,f1858])).
% 2.54/0.76 fof(f2606,plain,(
% 2.54/0.76 spl0_81|spl0_4),
% 2.54/0.76 inference(split_clause,[status(thm)],[f2605,f2602,f1710])).
% 2.54/0.76 fof(f2614,plain,(
% 2.54/0.76 spl0_82 <=> c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f2616,plain,(
% 2.54/0.76 ~c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_82),
% 2.54/0.76 inference(component_clause,[status(thm)],[f2614])).
% 2.54/0.76 fof(f2629,plain,(
% 2.54/0.76 ~c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_82),
% 2.54/0.76 inference(forward_demodulation,[status(thm)],[f1722,f2616])).
% 2.54/0.76 fof(f2630,plain,(
% 2.54/0.76 $false|spl0_82),
% 2.54/0.76 inference(forward_subsumption_resolution,[status(thm)],[f2629,f1425])).
% 2.54/0.76 fof(f2631,plain,(
% 2.54/0.76 spl0_82),
% 2.54/0.76 inference(contradiction_clause,[status(thm)],[f2630])).
% 2.54/0.76 fof(f2644,plain,(
% 2.54/0.76 spl0_83 <=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f2647,plain,(
% 2.54/0.76 ![X0]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|c_HOL_Oone__class_Oone(tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 2.54/0.76 inference(paramodulation,[status(thm)],[f1307,f1333])).
% 2.54/0.76 fof(f2648,plain,(
% 2.54/0.76 spl0_83|spl0_11),
% 2.54/0.76 inference(split_clause,[status(thm)],[f2647,f2644,f1748])).
% 2.54/0.76 fof(f2749,plain,(
% 2.54/0.76 ![X0]: (c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal)=X0|c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)=X0|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal))),
% 2.54/0.76 inference(resolution,[status(thm)],[f1721,f1393])).
% 2.54/0.76 fof(f2757,plain,(
% 2.54/0.76 spl0_94 <=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f2760,plain,(
% 2.54/0.76 ![X0]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|c_HOL_Oone__class_Oone(tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 2.54/0.76 inference(paramodulation,[status(thm)],[f1307,f1335])).
% 2.54/0.76 fof(f2761,plain,(
% 2.54/0.76 spl0_94|spl0_11),
% 2.54/0.76 inference(split_clause,[status(thm)],[f2760,f2757,f1748])).
% 2.54/0.76 fof(f2818,plain,(
% 2.54/0.76 $false|spl0_53),
% 2.54/0.76 inference(trivial_equality_resolution,[status(esa)],[f2228])).
% 2.54/0.76 fof(f2819,plain,(
% 2.54/0.76 spl0_53),
% 2.54/0.76 inference(contradiction_clause,[status(thm)],[f2818])).
% 2.54/0.76 fof(f3047,plain,(
% 2.54/0.76 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.54/0.76 inference(paramodulation,[status(thm)],[f1722,f1361])).
% 2.54/0.76 fof(f3052,plain,(
% 2.54/0.76 spl0_104 <=> c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f3055,plain,(
% 2.54/0.76 spl0_105 <=> c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f3058,plain,(
% 2.54/0.76 c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oplus__class_Oplus(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)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.54/0.76 inference(resolution,[status(thm)],[f3047,f2749])).
% 2.54/0.76 fof(f3059,plain,(
% 2.54/0.76 spl0_104|spl0_105),
% 2.54/0.76 inference(split_clause,[status(thm)],[f3058,f3052,f3055])).
% 2.54/0.76 fof(f3060,plain,(
% 2.54/0.76 spl0_106 <=> ~c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),X0,tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f3063,plain,(
% 2.54/0.76 ![X0]: (~c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 2.54/0.76 inference(resolution,[status(thm)],[f3047,f2277])).
% 2.54/0.76 fof(f3064,plain,(
% 2.54/0.76 spl0_106|spl0_105),
% 2.54/0.76 inference(split_clause,[status(thm)],[f3063,f3060,f3055])).
% 2.54/0.76 fof(f3066,plain,(
% 2.54/0.76 spl0_107 <=> c_lessequals(c_HOL_Oplus__class_Oplus(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)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f3069,plain,(
% 2.54/0.76 c_HOL_Oplus__class_Oplus(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)|~c_lessequals(c_HOL_Oplus__class_Oplus(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)),
% 2.54/0.76 inference(resolution,[status(thm)],[f3047,f1718])).
% 2.54/0.76 fof(f3070,plain,(
% 2.54/0.76 spl0_105|~spl0_107),
% 2.54/0.76 inference(split_clause,[status(thm)],[f3069,f3055,f3066])).
% 2.54/0.76 fof(f3141,plain,(
% 2.54/0.76 $false|spl0_2),
% 2.54/0.76 inference(backward_subsumption_resolution,[status(thm)],[f1702,f1489])).
% 2.54/0.76 fof(f3142,plain,(
% 2.54/0.76 spl0_2),
% 2.54/0.76 inference(contradiction_clause,[status(thm)],[f3141])).
% 2.54/0.76 fof(f3164,plain,(
% 2.54/0.76 ~c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(v_s(v_f____(v_x))),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_38),
% 2.54/0.76 inference(resolution,[status(thm)],[f2006,f1063])).
% 2.54/0.76 fof(f3165,plain,(
% 2.54/0.76 ~spl0_2|spl0_38),
% 2.54/0.76 inference(split_clause,[status(thm)],[f3164,f1700,f2004])).
% 2.54/0.76 fof(f3169,plain,(
% 2.54/0.76 ~spl0_2|spl0_37),
% 2.54/0.76 inference(split_clause,[status(thm)],[f2044,f1700,f2001])).
% 2.54/0.76 fof(f3249,plain,(
% 2.54/0.76 ~c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal)|~spl0_17|spl0_54),
% 2.54/0.76 inference(forward_demodulation,[status(thm)],[f1822,f2236])).
% 2.54/0.76 fof(f3250,plain,(
% 2.54/0.76 $false|~spl0_17|spl0_54),
% 2.54/0.76 inference(forward_subsumption_resolution,[status(thm)],[f3249,f1488])).
% 2.54/0.76 fof(f3251,plain,(
% 2.54/0.76 ~spl0_17|spl0_54),
% 2.54/0.76 inference(contradiction_clause,[status(thm)],[f3250])).
% 2.54/0.76 fof(f3253,plain,(
% 2.54/0.76 v_r=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_17|~spl0_49),
% 2.54/0.76 inference(forward_demodulation,[status(thm)],[f1822,f2133])).
% 2.54/0.76 fof(f3254,plain,(
% 2.54/0.76 $false|spl0_4|~spl0_17|~spl0_49),
% 2.54/0.76 inference(forward_subsumption_resolution,[status(thm)],[f3253,f1712])).
% 2.54/0.76 fof(f3255,plain,(
% 2.54/0.76 spl0_4|~spl0_17|~spl0_49),
% 2.54/0.76 inference(contradiction_clause,[status(thm)],[f3254])).
% 2.54/0.76 fof(f3275,plain,(
% 2.54/0.76 v_r=c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_49|~spl0_17),
% 2.54/0.76 inference(backward_demodulation,[status(thm)],[f3253,f1822])).
% 2.54/0.76 fof(f3403,plain,(
% 2.54/0.76 ![X0,X1]: (c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal)=X0|~c_lessequals(X1,X0,tc_RealDef_Oreal)|~c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X0,tc_RealDef_Oreal))),
% 2.54/0.76 inference(resolution,[status(thm)],[f1990,f1063])).
% 2.54/0.76 fof(f3404,plain,(
% 2.54/0.76 ![X0,X1]: (c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal)=X0|~c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X0,tc_RealDef_Oreal))),
% 2.54/0.76 inference(forward_subsumption_resolution,[status(thm)],[f3403,f1543])).
% 2.54/0.76 fof(f3421,plain,(
% 2.54/0.76 ![X0]: (c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),tc_RealDef_Oreal)=c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex))),
% 2.54/0.76 inference(resolution,[status(thm)],[f3404,f1348])).
% 2.54/0.76 fof(f3433,plain,(
% 2.54/0.76 ![X0,X1,X2]: (c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal)=X0|~c_lessequals(X1,X0,tc_RealDef_Oreal)|~c_lessequals(c_HOL_Oabs__class_Oabs(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal))),
% 2.54/0.76 inference(resolution,[status(thm)],[f3404,f1424])).
% 2.54/0.76 fof(f3435,plain,(
% 2.54/0.76 ![X0,X1]: (c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal)=X0|c_lessequals(X0,c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 2.54/0.76 inference(resolution,[status(thm)],[f3404,f1447])).
% 2.54/0.76 fof(f3436,plain,(
% 2.54/0.76 ![X0,X1]: (c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal)=X0|~c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X0,tc_RealDef_Oreal))),
% 2.54/0.76 inference(resolution,[status(thm)],[f3404,f1393])).
% 2.54/0.76 fof(f3437,plain,(
% 2.54/0.76 ![X0]: (c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal))),
% 2.54/0.76 inference(resolution,[status(thm)],[f3404,f1425])).
% 2.54/0.76 fof(f3442,plain,(
% 2.54/0.76 ![X0,X1]: (c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal)=X0|~c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal)=X1)),
% 2.54/0.76 inference(paramodulation,[status(thm)],[f1921,f3404])).
% 2.54/0.76 fof(f3444,plain,(
% 2.54/0.76 ![X0,X1]: (c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal)=X0|~c_lessequals(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),X0,tc_RealDef_Oreal))),
% 2.54/0.76 inference(paramodulation,[status(thm)],[f3421,f3404])).
% 2.54/0.76 fof(f3475,plain,(
% 2.54/0.76 spl0_120 <=> c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f3478,plain,(
% 2.54/0.76 ![X0,X1]: (c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal)|c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal))),
% 2.54/0.76 inference(resolution,[status(thm)],[f3435,f3404])).
% 2.54/0.76 fof(f3479,plain,(
% 2.54/0.76 spl0_120),
% 2.54/0.76 inference(split_clause,[status(thm)],[f3478,f3475])).
% 2.54/0.76 fof(f3486,plain,(
% 2.54/0.76 ![X0,X1]: (c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal)=X0|c_lessequals(X0,c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal))),
% 2.54/0.76 inference(paramodulation,[status(thm)],[f3421,f3435])).
% 2.54/0.76 fof(f3491,plain,(
% 2.54/0.76 ![X0,X1]: (c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal)=X0|c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)|c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal)=X1)),
% 2.54/0.76 inference(paramodulation,[status(thm)],[f1921,f3435])).
% 2.54/0.76 fof(f3507,plain,(
% 2.54/0.76 spl0_122 <=> c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal)=c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f3524,plain,(
% 2.54/0.76 ![X0,X1]: (c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),tc_RealDef_Oreal)=c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex)|c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal)=c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex))),
% 2.54/0.76 inference(resolution,[status(thm)],[f3486,f3444])).
% 2.54/0.76 fof(f3525,plain,(
% 2.54/0.76 spl0_122),
% 2.54/0.76 inference(split_clause,[status(thm)],[f3524,f3507])).
% 2.54/0.76 fof(f3763,plain,(
% 2.54/0.76 c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(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)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 2.54/0.76 inference(forward_demodulation,[status(thm)],[f1309,f1061])).
% 2.54/0.76 fof(f3834,plain,(
% 2.54/0.76 ![X0]: (c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),tc_RealDef_Oreal)=X0)),
% 2.54/0.76 inference(resolution,[status(thm)],[f1003,f1653])).
% 2.54/0.76 fof(f3853,plain,(
% 2.54/0.76 ![X0]: (~X0=c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal)|c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal))),
% 2.54/0.76 inference(paramodulation,[status(thm)],[f3834,f1972])).
% 2.54/0.76 fof(f4146,plain,(
% 2.54/0.76 spl0_135 <=> c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f4194,plain,(
% 2.54/0.76 spl0_139 <=> c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal)=X0|c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f4259,plain,(
% 2.54/0.76 ![X0,X1]: (c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal)|c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal)=X1|c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)|c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal)=X0)),
% 2.54/0.76 inference(resolution,[status(thm)],[f3491,f3442])).
% 2.54/0.76 fof(f4260,plain,(
% 2.54/0.76 spl0_139),
% 2.54/0.76 inference(split_clause,[status(thm)],[f4259,f4194])).
% 2.54/0.76 fof(f4346,plain,(
% 2.54/0.76 spl0_145 <=> class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f4348,plain,(
% 2.54/0.76 ~class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)|spl0_145),
% 2.54/0.76 inference(component_clause,[status(thm)],[f4346])).
% 2.54/0.76 fof(f4349,plain,(
% 2.54/0.76 spl0_146 <=> 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_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f4352,plain,(
% 2.54/0.76 ![X0]: (~class_Ring__and__Field_Odivision__by__zero(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_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 2.54/0.76 inference(resolution,[status(thm)],[f729,f1638])).
% 2.54/0.76 fof(f4353,plain,(
% 2.54/0.76 ~spl0_145|spl0_146),
% 2.54/0.76 inference(split_clause,[status(thm)],[f4352,f4346,f4349])).
% 2.54/0.76 fof(f4354,plain,(
% 2.54/0.76 $false|spl0_145),
% 2.54/0.76 inference(forward_subsumption_resolution,[status(thm)],[f4348,f1629])).
% 2.54/0.76 fof(f4355,plain,(
% 2.54/0.76 spl0_145),
% 2.54/0.76 inference(contradiction_clause,[status(thm)],[f4354])).
% 2.54/0.76 fof(f4358,plain,(
% 2.54/0.76 spl0_147 <=> c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f4361,plain,(
% 2.54/0.76 ![X0]: (~class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)|c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 2.54/0.76 inference(resolution,[status(thm)],[f730,f1638])).
% 2.54/0.76 fof(f4362,plain,(
% 2.54/0.76 ~spl0_145|spl0_147),
% 2.54/0.76 inference(split_clause,[status(thm)],[f4361,f4346,f4358])).
% 2.54/0.76 fof(f4515,plain,(
% 2.54/0.76 $false|spl0_72),
% 2.54/0.76 inference(forward_subsumption_resolution,[status(thm)],[f2434,f1425])).
% 2.54/0.76 fof(f4516,plain,(
% 2.54/0.76 spl0_72),
% 2.54/0.76 inference(contradiction_clause,[status(thm)],[f4515])).
% 2.54/0.76 fof(f4564,plain,(
% 2.54/0.76 spl0_158 <=> c_lessequals(c_RealVector_Onorm__class_Onorm(v_s(v_f____(v_x)),tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f4566,plain,(
% 2.54/0.76 ~c_lessequals(c_RealVector_Onorm__class_Onorm(v_s(v_f____(v_x)),tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_158),
% 2.54/0.76 inference(component_clause,[status(thm)],[f4564])).
% 2.54/0.76 fof(f4750,plain,(
% 2.54/0.76 ![X0]: (c_lessequals(X0,c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 2.54/0.76 inference(resolution,[status(thm)],[f1374,f1613])).
% 2.54/0.76 fof(f4779,plain,(
% 2.54/0.76 ![X0]: (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)=X0)),
% 2.54/0.76 inference(resolution,[status(thm)],[f1587,f1652])).
% 2.54/0.76 fof(f4780,plain,(
% 2.54/0.76 ![X0]: (c_HOL_Oplus__class_Oplus(v_r,X0,tc_RealDef_Oreal)=X0|~spl0_17|~spl0_49)),
% 2.54/0.76 inference(forward_demodulation,[status(thm)],[f3253,f4779])).
% 2.54/0.76 fof(f4788,plain,(
% 2.54/0.76 ![X0]: (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)=X0)),
% 2.54/0.76 inference(resolution,[status(thm)],[f1595,f1643])).
% 2.54/0.76 fof(f4791,plain,(
% 2.54/0.76 ![X0]: (c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)=X0)),
% 2.54/0.76 inference(resolution,[status(thm)],[f1597,f1631])).
% 2.54/0.76 fof(f4817,plain,(
% 2.54/0.76 c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 2.54/0.76 inference(resolution,[status(thm)],[f1013,f1653])).
% 2.54/0.76 fof(f4836,plain,(
% 2.54/0.76 v_r=c_HOL_Oone__class_Oone(tc_RealDef_Oreal)|~spl0_49|~spl0_17),
% 2.54/0.76 inference(backward_demodulation,[status(thm)],[f4780,f3275])).
% 2.54/0.76 fof(f4837,plain,(
% 2.54/0.76 spl0_45|~spl0_49|~spl0_17),
% 2.54/0.76 inference(split_clause,[status(thm)],[f4836,f2099,f2132,f1821])).
% 2.54/0.76 fof(f4854,plain,(
% 2.54/0.76 spl0_54|spl0_50),
% 2.54/0.76 inference(split_clause,[status(thm)],[f2501,f2234,f2135])).
% 2.54/0.76 fof(f4860,plain,(
% 2.54/0.76 c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 2.54/0.76 inference(forward_demodulation,[status(thm)],[f996,f3763])).
% 2.54/0.76 fof(f4861,plain,(
% 2.54/0.76 spl0_54|~spl0_4|spl0_18),
% 2.54/0.76 inference(split_clause,[status(thm)],[f2062,f2234,f1710,f1824])).
% 2.54/0.76 fof(f4894,plain,(
% 2.54/0.76 ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal)|~spl0_49|spl0_3),
% 2.54/0.76 inference(forward_demodulation,[status(thm)],[f2133,f1705])).
% 2.54/0.76 fof(f4895,plain,(
% 2.54/0.76 spl0_173 <=> c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f4897,plain,(
% 2.54/0.76 ~c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal)|spl0_173),
% 2.54/0.76 inference(component_clause,[status(thm)],[f4895])).
% 2.54/0.76 fof(f4898,plain,(
% 2.54/0.76 c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)=v_r|~c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal)|~spl0_49|spl0_3),
% 2.54/0.76 inference(resolution,[status(thm)],[f4894,f1485])).
% 2.54/0.76 fof(f4899,plain,(
% 2.54/0.76 spl0_4|~spl0_173|~spl0_49|spl0_3),
% 2.54/0.76 inference(split_clause,[status(thm)],[f4898,f1710,f4895,f2132,f1703])).
% 2.54/0.76 fof(f5015,plain,(
% 2.54/0.76 spl0_174 <=> ~c_lessequals(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f5016,plain,(
% 2.54/0.76 ![X0]: (~c_lessequals(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_174)),
% 2.54/0.76 inference(component_clause,[status(thm)],[f5015])).
% 2.54/0.76 fof(f5018,plain,(
% 2.54/0.76 ![X0]: (c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal)=v_r|~c_lessequals(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 2.54/0.76 inference(resolution,[status(thm)],[f1488,f3433])).
% 2.54/0.76 fof(f5019,plain,(
% 2.54/0.76 spl0_19|spl0_174),
% 2.54/0.76 inference(split_clause,[status(thm)],[f5018,f1871,f5015])).
% 2.54/0.76 fof(f5025,plain,(
% 2.54/0.76 ![X0]: (c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)=X0)),
% 2.54/0.76 inference(paramodulation,[status(thm)],[f996,f1307])).
% 2.54/0.76 fof(f5039,plain,(
% 2.54/0.76 ![X0,X1,X2]: (c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(c_HOL_Oabs__class_Oabs(X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 2.54/0.76 inference(resolution,[status(thm)],[f1329,f3433])).
% 2.54/0.76 fof(f5040,plain,(
% 2.54/0.76 spl0_135|spl0_174),
% 2.54/0.76 inference(split_clause,[status(thm)],[f5039,f4146,f5015])).
% 2.54/0.76 fof(f5066,plain,(
% 2.54/0.76 ![X0]: (c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal)=X0|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal))),
% 2.54/0.76 inference(paramodulation,[status(thm)],[f1722,f3436])).
% 2.54/0.76 fof(f5068,plain,(
% 2.54/0.76 ![X0]: (c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal)=X0|~c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal))),
% 2.54/0.76 inference(paramodulation,[status(thm)],[f1722,f3404])).
% 2.54/0.76 fof(f5088,plain,(
% 2.54/0.76 c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 2.54/0.76 inference(resolution,[status(thm)],[f5066,f1400])).
% 2.54/0.76 fof(f5089,plain,(
% 2.54/0.76 spl0_21),
% 2.54/0.76 inference(split_clause,[status(thm)],[f5088,f1879])).
% 2.54/0.76 fof(f5118,plain,(
% 2.54/0.76 c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal)=v_r),
% 2.54/0.76 inference(resolution,[status(thm)],[f5068,f1488])).
% 2.54/0.76 fof(f5199,plain,(
% 2.54/0.76 $false|spl0_173),
% 2.54/0.76 inference(forward_subsumption_resolution,[status(thm)],[f4897,f1488])).
% 2.54/0.76 fof(f5200,plain,(
% 2.54/0.76 spl0_173),
% 2.54/0.76 inference(contradiction_clause,[status(thm)],[f5199])).
% 2.54/0.76 fof(f5238,plain,(
% 2.54/0.76 ~spl0_49|~spl0_4|spl0_17),
% 2.54/0.76 inference(split_clause,[status(thm)],[f2389,f2132,f1710,f1821])).
% 2.54/0.76 fof(f5380,plain,(
% 2.54/0.76 c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 2.54/0.76 inference(forward_demodulation,[status(thm)],[f4788,f4860])).
% 2.54/0.76 fof(f5397,plain,(
% 2.54/0.76 ![X0]: (c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 2.54/0.76 inference(paramodulation,[status(thm)],[f5380,f1329])).
% 2.54/0.76 fof(f5398,plain,(
% 2.54/0.76 ![X0]: (c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 2.54/0.76 inference(forward_demodulation,[status(thm)],[f4791,f5397])).
% 2.54/0.76 fof(f5409,plain,(
% 2.54/0.76 ![X0]: (c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal))),
% 2.54/0.76 inference(resolution,[status(thm)],[f5398,f5068])).
% 2.54/0.76 fof(f5410,plain,(
% 2.54/0.76 spl0_186 <=> c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f5441,plain,(
% 2.54/0.76 ![X0,X1]: (c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal)=X0|c_lessequals(X0,c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 2.54/0.76 inference(paramodulation,[status(thm)],[f5409,f3435])).
% 2.54/0.76 fof(f5442,plain,(
% 2.54/0.76 ![X0,X1]: (c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal)=X0|~c_lessequals(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),X0,tc_RealDef_Oreal))),
% 2.54/0.76 inference(paramodulation,[status(thm)],[f5409,f3404])).
% 2.54/0.76 fof(f5476,plain,(
% 2.54/0.76 ![X0,X1]: (c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal)|c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal))),
% 2.54/0.76 inference(resolution,[status(thm)],[f5442,f5441])).
% 2.54/0.76 fof(f5477,plain,(
% 2.54/0.76 spl0_186),
% 2.54/0.76 inference(split_clause,[status(thm)],[f5476,f5410])).
% 2.54/0.76 fof(f5538,plain,(
% 2.54/0.76 ![X0]: (~c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal)=X0|X0=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 2.54/0.76 inference(resolution,[status(thm)],[f1183,f1622])).
% 2.54/0.76 fof(f5544,plain,(
% 2.54/0.76 spl0_189 <=> c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f5546,plain,(
% 2.54/0.76 ~c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_189),
% 2.54/0.76 inference(component_clause,[status(thm)],[f5544])).
% 2.54/0.76 fof(f5701,plain,(
% 2.54/0.76 spl0_194 <=> ~c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f5707,plain,(
% 2.54/0.76 spl0_195 <=> c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f5712,plain,(
% 2.54/0.76 ~c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal)),
% 2.54/0.76 inference(resolution,[status(thm)],[f1457,f5538])).
% 2.54/0.76 fof(f5715,plain,(
% 2.54/0.76 ![X0]: (c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal)=X0|~c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal))),
% 2.54/0.76 inference(paramodulation,[status(thm)],[f5025,f5442])).
% 2.54/0.76 fof(f5716,plain,(
% 2.54/0.76 ![X0]: (c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal)=X0|c_lessequals(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 2.54/0.76 inference(paramodulation,[status(thm)],[f5025,f5441])).
% 2.54/0.76 fof(f5718,plain,(
% 2.54/0.76 c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.54/0.76 inference(paramodulation,[status(thm)],[f5025,f5409])).
% 2.54/0.76 fof(f5719,plain,(
% 2.54/0.76 c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal)),
% 2.54/0.76 inference(forward_demodulation,[status(thm)],[f5025,f5718])).
% 2.54/0.76 fof(f5722,plain,(
% 2.54/0.76 c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.54/0.76 inference(paramodulation,[status(thm)],[f5025,f5398])).
% 2.54/0.76 fof(f5790,plain,(
% 2.54/0.76 $false|~spl0_7),
% 2.54/0.76 inference(forward_subsumption_resolution,[status(thm)],[f1727,f5712])).
% 2.54/0.76 fof(f5791,plain,(
% 2.54/0.76 ~spl0_7),
% 2.54/0.76 inference(contradiction_clause,[status(thm)],[f5790])).
% 2.54/0.76 fof(f5795,plain,(
% 2.54/0.76 ![X0]: (~c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal))),
% 2.54/0.76 inference(resolution,[status(thm)],[f5722,f1858])).
% 2.54/0.76 fof(f5796,plain,(
% 2.54/0.76 spl0_194|spl0_11),
% 2.54/0.76 inference(split_clause,[status(thm)],[f5795,f5701,f1748])).
% 2.54/0.76 fof(f5798,plain,(
% 2.54/0.76 c_HOL_Oone__class_Oone(tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|~c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.54/0.76 inference(resolution,[status(thm)],[f5722,f1519])).
% 2.54/0.76 fof(f5799,plain,(
% 2.54/0.76 spl0_11|~spl0_195),
% 2.54/0.76 inference(split_clause,[status(thm)],[f5798,f1748,f5707])).
% 2.54/0.76 fof(f5826,plain,(
% 2.54/0.76 c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal)|c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal)),
% 2.54/0.76 inference(resolution,[status(thm)],[f5716,f5715])).
% 2.54/0.76 fof(f5827,plain,(
% 2.54/0.76 spl0_34),
% 2.54/0.76 inference(split_clause,[status(thm)],[f5826,f1974])).
% 2.54/0.76 fof(f5909,plain,(
% 2.54/0.76 spl0_199 <=> c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f5920,plain,(
% 2.54/0.76 ~c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)=c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.54/0.76 inference(paramodulation,[status(thm)],[f4817,f3853])).
% 2.54/0.76 fof(f5921,plain,(
% 2.54/0.76 ~spl0_26|spl0_199),
% 2.54/0.76 inference(split_clause,[status(thm)],[f5920,f1923,f5909])).
% 2.54/0.76 fof(f5950,plain,(
% 2.54/0.76 ![X0]: (c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 2.54/0.76 inference(paramodulation,[status(thm)],[f4817,f1065])).
% 2.54/0.76 fof(f5951,plain,(
% 2.54/0.76 ![X0]: (c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 2.54/0.76 inference(forward_demodulation,[status(thm)],[f4788,f5950])).
% 2.54/0.76 fof(f5952,plain,(
% 2.54/0.76 ![X0]: (c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal))),
% 2.54/0.76 inference(forward_demodulation,[status(thm)],[f4791,f5951])).
% 2.54/0.76 fof(f5965,plain,(
% 2.54/0.76 ~c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|spl0_26),
% 2.54/0.76 inference(forward_demodulation,[status(thm)],[f4817,f1925])).
% 2.54/0.76 fof(f5966,plain,(
% 2.54/0.76 $false|spl0_26),
% 2.54/0.76 inference(trivial_equality_resolution,[status(esa)],[f5965])).
% 2.54/0.76 fof(f5967,plain,(
% 2.54/0.76 spl0_26),
% 2.54/0.76 inference(contradiction_clause,[status(thm)],[f5966])).
% 2.54/0.76 fof(f5969,plain,(
% 2.54/0.76 spl0_202 <=> c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f5972,plain,(
% 2.54/0.76 ![X0]: (~class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)|c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 2.54/0.76 inference(resolution,[status(thm)],[f740,f1638])).
% 2.54/0.76 fof(f5973,plain,(
% 2.54/0.76 ~spl0_145|spl0_202),
% 2.54/0.76 inference(split_clause,[status(thm)],[f5972,f4346,f5969])).
% 2.54/0.76 fof(f5974,plain,(
% 2.54/0.76 spl0_203 <=> c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f5977,plain,(
% 2.54/0.76 ![X0]: (~class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)|c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 2.54/0.76 inference(resolution,[status(thm)],[f741,f1638])).
% 2.54/0.76 fof(f5978,plain,(
% 2.54/0.76 ~spl0_145|spl0_203),
% 2.54/0.76 inference(split_clause,[status(thm)],[f5977,f4346,f5974])).
% 2.54/0.76 fof(f5994,plain,(
% 2.54/0.76 spl0_204 <=> c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f6012,plain,(
% 2.54/0.76 c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(c_Complex_ORe(v_s(v_f____(v_x))),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_38),
% 2.54/0.76 inference(resolution,[status(thm)],[f2005,f1990])).
% 2.54/0.76 fof(f6013,plain,(
% 2.54/0.76 spl0_204|~spl0_37|~spl0_38),
% 2.54/0.76 inference(split_clause,[status(thm)],[f6012,f5994,f2001,f2004])).
% 2.54/0.76 fof(f6014,plain,(
% 2.54/0.76 spl0_206 <=> c_lessequals(c_RealVector_Onorm__class_Onorm(v_s(v_f____(v_x)),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f6017,plain,(
% 2.54/0.76 spl0_207 <=> c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)=c_Complex_ORe(v_s(v_f____(v_x)))),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f6020,plain,(
% 2.54/0.76 ~c_lessequals(c_RealVector_Onorm__class_Onorm(v_s(v_f____(v_x)),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)=c_Complex_ORe(v_s(v_f____(v_x)))|~spl0_38),
% 2.54/0.76 inference(resolution,[status(thm)],[f2005,f2245])).
% 2.54/0.76 fof(f6021,plain,(
% 2.54/0.76 ~spl0_206|spl0_207|~spl0_38),
% 2.54/0.76 inference(split_clause,[status(thm)],[f6020,f6014,f6017,f2004])).
% 2.54/0.76 fof(f6022,plain,(
% 2.54/0.76 spl0_208 <=> ~c_lessequals(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f6025,plain,(
% 2.54/0.76 ![X0]: (c_HOL_Oabs__class_Oabs(c_Complex_ORe(v_s(v_f____(v_x))),tc_RealDef_Oreal)=c_Complex_ORe(v_s(v_f____(v_x)))|~c_lessequals(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_38)),
% 2.54/0.76 inference(resolution,[status(thm)],[f2005,f3433])).
% 2.54/0.76 fof(f6026,plain,(
% 2.54/0.76 spl0_30|spl0_208|~spl0_38),
% 2.54/0.76 inference(split_clause,[status(thm)],[f6025,f1939,f6022,f2004])).
% 2.54/0.76 fof(f6027,plain,(
% 2.54/0.76 spl0_209 <=> ~c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(c_Complex_ORe(v_s(v_f____(v_x))),X0,tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f6030,plain,(
% 2.54/0.76 ![X0]: (~c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(c_Complex_ORe(v_s(v_f____(v_x))),X0,tc_RealDef_Oreal)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)=c_Complex_ORe(v_s(v_f____(v_x)))|~spl0_38)),
% 2.54/0.76 inference(resolution,[status(thm)],[f2005,f1858])).
% 2.54/0.76 fof(f6031,plain,(
% 2.54/0.76 spl0_209|spl0_207|~spl0_38),
% 2.54/0.76 inference(split_clause,[status(thm)],[f6030,f6027,f6017,f2004])).
% 2.54/0.76 fof(f6033,plain,(
% 2.54/0.76 spl0_210 <=> c_lessequals(c_Complex_ORe(v_s(v_f____(v_x))),c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f6036,plain,(
% 2.54/0.76 c_Complex_ORe(v_s(v_f____(v_x)))=c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(c_Complex_ORe(v_s(v_f____(v_x))),c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_38),
% 2.54/0.76 inference(resolution,[status(thm)],[f2005,f1519])).
% 2.54/0.76 fof(f6037,plain,(
% 2.54/0.76 spl0_207|~spl0_210|~spl0_38),
% 2.54/0.76 inference(split_clause,[status(thm)],[f6036,f6017,f6033,f2004])).
% 2.54/0.76 fof(f6106,plain,(
% 2.54/0.76 ![X0]: (c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 2.54/0.76 inference(paramodulation,[status(thm)],[f5952,f4750])).
% 2.54/0.76 fof(f6136,plain,(
% 2.54/0.76 c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.54/0.76 inference(paramodulation,[status(thm)],[f5719,f6106])).
% 2.54/0.76 fof(f6190,plain,(
% 2.54/0.76 spl0_215 <=> ~c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f6193,plain,(
% 2.54/0.76 ![X0]: (~c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal))),
% 2.54/0.76 inference(resolution,[status(thm)],[f6136,f1858])).
% 2.54/0.76 fof(f6194,plain,(
% 2.54/0.76 spl0_215|spl0_7),
% 2.54/0.76 inference(split_clause,[status(thm)],[f6193,f6190,f1726])).
% 2.54/0.76 fof(f6196,plain,(
% 2.54/0.76 spl0_216 <=> c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f6199,plain,(
% 2.54/0.76 c_HOL_Oone__class_Oone(tc_RealDef_Oreal)=c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.54/0.76 inference(resolution,[status(thm)],[f6136,f1519])).
% 2.54/0.76 fof(f6200,plain,(
% 2.54/0.76 spl0_7|~spl0_216),
% 2.54/0.76 inference(split_clause,[status(thm)],[f6199,f1726,f6196])).
% 2.54/0.76 fof(f6247,plain,(
% 2.54/0.76 c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 2.54/0.76 inference(resolution,[status(thm)],[f835,f1674])).
% 2.54/0.76 fof(f6281,plain,(
% 2.54/0.76 ![X0]: (c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oexp(X0,tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 2.54/0.76 inference(resolution,[status(thm)],[f854,f1447])).
% 2.54/0.76 fof(f6316,plain,(
% 2.54/0.76 ~c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_174),
% 2.54/0.76 inference(paramodulation,[status(thm)],[f1722,f5016])).
% 2.54/0.76 fof(f6317,plain,(
% 2.54/0.76 ~spl0_22|~spl0_174),
% 2.54/0.76 inference(split_clause,[status(thm)],[f6316,f1882,f5015])).
% 2.54/0.76 fof(f6324,plain,(
% 2.54/0.76 ~c_lessequals(c_RealVector_Onorm__class_Onorm(v_s(v_f____(v_x)),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)|spl0_158),
% 2.54/0.76 inference(forward_demodulation,[status(thm)],[f5118,f4566])).
% 2.54/0.76 fof(f6325,plain,(
% 2.54/0.76 $false|spl0_158),
% 2.54/0.76 inference(forward_subsumption_resolution,[status(thm)],[f6324,f1353])).
% 2.54/0.76 fof(f6326,plain,(
% 2.54/0.76 spl0_158),
% 2.54/0.76 inference(contradiction_clause,[status(thm)],[f6325])).
% 2.54/0.76 fof(f6327,plain,(
% 2.54/0.76 ~c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)=c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_189),
% 2.54/0.76 inference(forward_demodulation,[status(thm)],[f3834,f5546])).
% 2.54/0.76 fof(f6328,plain,(
% 2.54/0.76 ~c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|spl0_189),
% 2.54/0.76 inference(forward_demodulation,[status(thm)],[f4817,f6327])).
% 2.54/0.76 fof(f6329,plain,(
% 2.54/0.76 $false|spl0_189),
% 2.54/0.76 inference(trivial_equality_resolution,[status(esa)],[f6328])).
% 2.54/0.76 fof(f6330,plain,(
% 2.54/0.76 spl0_189),
% 2.54/0.76 inference(contradiction_clause,[status(thm)],[f6329])).
% 2.54/0.76 fof(f6331,plain,(
% 2.54/0.76 ~c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(v_s(v_f____(v_x))),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_16),
% 2.54/0.76 inference(forward_demodulation,[status(thm)],[f3437,f1818])).
% 2.54/0.76 fof(f6332,plain,(
% 2.54/0.76 $false|spl0_16),
% 2.54/0.76 inference(forward_subsumption_resolution,[status(thm)],[f6331,f1489])).
% 2.54/0.76 fof(f6333,plain,(
% 2.54/0.76 spl0_16),
% 2.54/0.76 inference(contradiction_clause,[status(thm)],[f6332])).
% 2.54/0.76 fof(f6334,plain,(
% 2.54/0.76 ~c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(v_s(v_f____(v_x))),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_29),
% 2.54/0.76 inference(forward_demodulation,[status(thm)],[f5952,f1938])).
% 2.54/0.76 fof(f6335,plain,(
% 2.54/0.76 $false|spl0_29),
% 2.54/0.76 inference(forward_subsumption_resolution,[status(thm)],[f6334,f1489])).
% 2.54/0.76 fof(f6336,plain,(
% 2.54/0.76 spl0_29),
% 2.54/0.76 inference(contradiction_clause,[status(thm)],[f6335])).
% 2.54/0.76 fof(f6692,plain,(
% 2.54/0.76 spl0_224 <=> ~c_lessequals(X0,c_Complex_ORe(v_s(v_f____(v_x))),tc_RealDef_Oreal)|~c_lessequals(c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),X0,tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f6695,plain,(
% 2.54/0.76 ![X0]: (~c_lessequals(X0,c_Complex_ORe(v_s(v_f____(v_x))),tc_RealDef_Oreal)|~c_lessequals(c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|c_Complex_ORe(v_s(v_f____(v_x)))=c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_37)),
% 2.54/0.76 inference(resolution,[status(thm)],[f2002,f1858])).
% 2.54/0.76 fof(f6696,plain,(
% 2.54/0.76 spl0_224|spl0_42|~spl0_37),
% 2.54/0.76 inference(split_clause,[status(thm)],[f6695,f6692,f2048,f2001])).
% 2.54/0.76 fof(f6698,plain,(
% 2.54/0.76 spl0_225 <=> c_lessequals(c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_Complex_ORe(v_s(v_f____(v_x))),tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f6701,plain,(
% 2.54/0.76 c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)=c_Complex_ORe(v_s(v_f____(v_x)))|~c_lessequals(c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_Complex_ORe(v_s(v_f____(v_x))),tc_RealDef_Oreal)|~spl0_37),
% 2.54/0.76 inference(resolution,[status(thm)],[f2002,f1519])).
% 2.54/0.76 fof(f6702,plain,(
% 2.54/0.76 spl0_42|~spl0_225|~spl0_37),
% 2.54/0.76 inference(split_clause,[status(thm)],[f6701,f2048,f6698,f2001])).
% 2.54/0.76 fof(f6706,plain,(
% 2.54/0.76 ~c_HOL_Oplus__class_Oplus(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)|~spl0_9),
% 2.54/0.76 inference(paramodulation,[status(thm)],[f5380,f1741])).
% 2.54/0.76 fof(f6707,plain,(
% 2.54/0.76 ~spl0_105|~spl0_9),
% 2.54/0.76 inference(split_clause,[status(thm)],[f6706,f3055,f1740])).
% 2.54/0.76 fof(f6737,plain,(
% 2.54/0.76 spl0_227 <=> c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f6739,plain,(
% 2.54/0.76 ~c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_227),
% 2.54/0.76 inference(component_clause,[status(thm)],[f6737])).
% 2.54/0.76 fof(f6760,plain,(
% 2.54/0.76 ~c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_227),
% 2.54/0.76 inference(forward_demodulation,[status(thm)],[f6247,f6739])).
% 2.54/0.76 fof(f6761,plain,(
% 2.54/0.76 ~c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_227),
% 2.54/0.76 inference(forward_demodulation,[status(thm)],[f1722,f6760])).
% 2.54/0.76 fof(f6762,plain,(
% 2.54/0.76 $false|spl0_227),
% 2.54/0.76 inference(forward_subsumption_resolution,[status(thm)],[f6761,f1425])).
% 2.54/0.76 fof(f6763,plain,(
% 2.54/0.76 spl0_227),
% 2.54/0.76 inference(contradiction_clause,[status(thm)],[f6762])).
% 2.54/0.76 fof(f6864,plain,(
% 2.54/0.76 spl0_231 <=> c_HOL_Oabs__class_Oabs(c_Transcendental_Oexp(X0,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_Transcendental_Oexp(X0,tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f6867,plain,(
% 2.54/0.76 ![X0,X1]: (c_HOL_Oabs__class_Oabs(c_Transcendental_Oexp(X0,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_Transcendental_Oexp(X0,tc_RealDef_Oreal)|~c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 2.54/0.76 inference(resolution,[status(thm)],[f6281,f3433])).
% 2.54/0.76 fof(f6868,plain,(
% 2.54/0.76 spl0_231|spl0_174),
% 2.54/0.76 inference(split_clause,[status(thm)],[f6867,f6864,f5015])).
% 2.54/0.76 fof(f6949,plain,(
% 2.54/0.76 c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal)),
% 2.54/0.76 inference(resolution,[status(thm)],[f1047,f1668])).
% 2.54/0.76 fof(f7078,plain,(
% 2.54/0.76 spl0_241 <=> c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f7080,plain,(
% 2.54/0.76 ~c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_241),
% 2.54/0.76 inference(component_clause,[status(thm)],[f7078])).
% 2.54/0.76 fof(f7101,plain,(
% 2.54/0.76 ~c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_241),
% 2.54/0.76 inference(forward_demodulation,[status(thm)],[f6949,f7080])).
% 2.54/0.76 fof(f7102,plain,(
% 2.54/0.76 ~c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_241),
% 2.54/0.76 inference(forward_demodulation,[status(thm)],[f5719,f7101])).
% 2.54/0.76 fof(f7103,plain,(
% 2.54/0.76 $false|spl0_241),
% 2.54/0.76 inference(forward_subsumption_resolution,[status(thm)],[f7102,f1425])).
% 2.54/0.76 fof(f7104,plain,(
% 2.54/0.76 spl0_241),
% 2.54/0.76 inference(contradiction_clause,[status(thm)],[f7103])).
% 2.54/0.76 fof(f7217,plain,(
% 2.54/0.76 ~c_lessequals(v_r,c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_18|~spl0_81),
% 2.54/0.76 inference(resolution,[status(thm)],[f1831,f2603])).
% 2.54/0.76 fof(f7218,plain,(
% 2.54/0.76 ~spl0_50|spl0_18|~spl0_81),
% 2.54/0.76 inference(split_clause,[status(thm)],[f7217,f2135,f1824,f2602])).
% 2.54/0.76 fof(f7225,plain,(
% 2.54/0.76 spl0_248 <=> ~c_lessequals(X0,c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)),
% 2.54/0.76 introduced(split_symbol_definition)).
% 2.54/0.76 fof(f7228,plain,(
% 2.54/0.77 ![X0]: (~c_lessequals(X0,c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|spl0_18)),
% 2.54/0.77 inference(resolution,[status(thm)],[f1831,f1858])).
% 2.54/0.77 fof(f7229,plain,(
% 2.54/0.77 spl0_248|spl0_17|spl0_18),
% 2.54/0.77 inference(split_clause,[status(thm)],[f7228,f7225,f1821,f1824])).
% 2.54/0.77 fof(f7233,plain,(
% 2.54/0.77 $false),
% 2.54/0.77 inference(sat_refutation,[status(thm)],[f1706,f1730,f1735,f1752,f1794,f1796,f1828,f1888,f1890,f2141,f2372,f2459,f2497,f2536,f2606,f2631,f2648,f2761,f2819,f3059,f3064,f3070,f3142,f3165,f3169,f3251,f3255,f3479,f3525,f4260,f4353,f4355,f4362,f4516,f4837,f4854,f4861,f4899,f5019,f5040,f5089,f5200,f5238,f5477,f5791,f5796,f5799,f5827,f5921,f5967,f5973,f5978,f6013,f6021,f6026,f6031,f6037,f6194,f6200,f6317,f6326,f6330,f6333,f6336,f6696,f6702,f6707,f6763,f6868,f7104,f7218,f7229])).
% 2.54/0.77 % SZS output end CNFRefutation for theBenchmark.p
% 2.54/0.78 % Elapsed time: 0.428745 seconds
% 2.54/0.78 % CPU time: 3.060131 seconds
% 2.54/0.78 % Total memory used: 127.813 MB
% 2.54/0.78 % Net memory used: 126.015 MB
%------------------------------------------------------------------------------