%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ALG363-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 11:50:05 AM UTC 2026
% Result : Unsatisfiable 1.30s 0.67s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG363-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n013.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 13:17:06 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.44 % Drodi V4.1.1
% 1.30/0.67 % Refutation found
% 1.30/0.67 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.30/0.67 % SZS output start CNFRefutation for theBenchmark
% 1.30/0.67 fof(f1,axiom,(
% 1.30/0.67 (![T_a,V_a,V_b]: (( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ))),
% 1.30/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.30/0.67 fof(f2,axiom,(
% 1.30/0.67 (![T_a,V_b,V_a]: (( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),T_a) ) ))),
% 1.30/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.30/0.67 fof(f3,axiom,(
% 1.30/0.67 (![T_a,V_b,V_a]: (( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ))),
% 1.30/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.30/0.67 fof(f23,axiom,(
% 1.30/0.67 (![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) ) ))),
% 1.30/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.30/0.67 fof(f24,axiom,(
% 1.30/0.67 (![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) ) ))),
% 1.30/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.30/0.67 fof(f34,axiom,(
% 1.30/0.67 (![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) ) ))),
% 1.30/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.30/0.67 fof(f35,axiom,(
% 1.30/0.67 (![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) ) ))),
% 1.30/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.30/0.67 fof(f69,axiom,(
% 1.30/0.67 (![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_Ozero__class_Ozero(T_a),V_a,T_a)| ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ))),
% 1.30/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.30/0.67 fof(f70,axiom,(
% 1.30/0.67 (![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_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)| ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ))),
% 1.30/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.30/0.67 fof(f132,axiom,(
% 1.30/0.67 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) ),
% 1.30/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.30/0.67 fof(f172,axiom,(
% 1.30/0.67 (![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) ) ))),
% 1.30/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.30/0.67 fof(f228,axiom,(
% 1.30/0.67 c_Transcendental_Ocos(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 1.30/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.30/0.67 fof(f234,axiom,(
% 1.30/0.67 (![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) ) ))),
% 1.30/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.30/0.67 fof(f235,axiom,(
% 1.30/0.67 (![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) ) ))),
% 1.30/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.30/0.67 fof(f320,axiom,(
% 1.30/0.67 (![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) ) ))),
% 1.30/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.30/0.67 fof(f402,axiom,(
% 1.30/0.67 (![V_z]: (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) = V_z ))),
% 1.30/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.30/0.67 fof(f426,axiom,(
% 1.30/0.67 (![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) ) ))),
% 1.30/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.30/0.67 fof(f427,axiom,(
% 1.30/0.67 (![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) ) ))),
% 1.30/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.30/0.67 fof(f452,axiom,(
% 1.30/0.67 (![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) ))),
% 1.30/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.30/0.67 fof(f463,axiom,(
% 1.30/0.67 (![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) ))),
% 1.30/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.30/0.67 fof(f466,axiom,(
% 1.30/0.67 (![V_x]: (~ c_HOL_Oord__class_Oless(V_x,V_x,tc_RealDef_Oreal) ))),
% 1.30/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.30/0.67 fof(f473,axiom,(
% 1.30/0.67 (![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) ) ))),
% 1.30/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.30/0.67 fof(f479,axiom,(
% 1.30/0.67 (![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) ) ))),
% 1.30/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.30/0.67 fof(f493,axiom,(
% 1.30/0.67 (![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) ) ))),
% 1.30/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.30/0.67 fof(f494,axiom,(
% 1.30/0.67 (![V_w]: (c_lessequals(V_w,V_w,tc_RealDef_Oreal) ))),
% 1.30/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.30/0.67 fof(f507,axiom,(
% 1.30/0.67 (![V_w,V_z]: (( c_lessequals(V_w,V_z,tc_RealDef_Oreal)| c_lessequals(V_z,V_w,tc_RealDef_Oreal) ) ))),
% 1.30/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.30/0.67 fof(f514,axiom,(
% 1.30/0.67 c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 1.30/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.30/0.67 fof(f533,axiom,(
% 1.30/0.67 (![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) ) ))),
% 1.30/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.30/0.67 fof(f536,axiom,(
% 1.30/0.67 c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal) ),
% 1.30/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.30/0.67 fof(f537,axiom,(
% 1.30/0.67 (![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) ))),
% 1.30/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.30/0.67 fof(f556,axiom,(
% 1.30/0.67 (![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) ) ))),
% 1.30/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.30/0.67 fof(f573,axiom,(
% 1.30/0.67 (![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) ) ))),
% 1.30/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.30/0.67 fof(f600,axiom,(
% 1.30/0.67 (![T_a,V_a]: (( ~ class_OrderedGroup_Omonoid__add(T_a)| c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ))),
% 1.30/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.30/0.67 fof(f601,axiom,(
% 1.30/0.67 (![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 ) ))),
% 1.30/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.30/0.67 fof(f611,axiom,(
% 1.30/0.67 (![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) ))),
% 1.30/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.30/0.67 fof(f612,negated_conjecture,(
% 1.30/0.67 ( ~ 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) ) ),
% 1.30/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.30/0.67 fof(f617,axiom,(
% 1.30/0.67 class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ),
% 1.30/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.30/0.67 fof(f628,axiom,(
% 1.30/0.67 class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ),
% 1.30/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.30/0.67 fof(f635,axiom,(
% 1.30/0.67 class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ),
% 1.30/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.30/0.67 fof(f644,axiom,(
% 1.30/0.67 class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
% 1.30/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.30/0.67 fof(f658,axiom,(
% 1.30/0.67 class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ),
% 1.30/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.30/0.67 fof(f699,plain,(
% 1.30/0.67 ![T_a,V_a]: ((![V_b]: ((~class_Ring__and__Field_Oordered__semiring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a))|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)))|~c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a))),
% 1.30/0.67 inference(miniscoping,[status(thm)],[f1])).
% 1.30/0.67 fof(f700,plain,(
% 1.30/0.67 ![X0,X1,X2]: (~class_Ring__and__Field_Oordered__semiring__strict(X0)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0))),
% 1.30/0.67 inference(cnf_transformation,[status(thm)],[f699])).
% 1.30/0.67 fof(f701,plain,(
% 1.30/0.67 ![X0,X1,X2]: (~class_Ring__and__Field_Oordered__semiring__strict(X0)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0))),
% 1.30/0.67 inference(cnf_transformation,[status(thm)],[f2])).
% 1.30/0.67 fof(f702,plain,(
% 1.30/0.67 ![X0,X1,X2]: (~class_Ring__and__Field_Oordered__semiring__strict(X0)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0))),
% 1.30/0.67 inference(cnf_transformation,[status(thm)],[f3])).
% 1.30/0.67 fof(f729,plain,(
% 1.30/0.67 ![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))),
% 1.30/0.67 inference(cnf_transformation,[status(thm)],[f23])).
% 1.30/0.67 fof(f730,plain,(
% 1.30/0.67 ![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))),
% 1.30/0.67 inference(cnf_transformation,[status(thm)],[f24])).
% 1.30/0.67 fof(f740,plain,(
% 1.30/0.67 ![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))),
% 1.30/0.67 inference(cnf_transformation,[status(thm)],[f34])).
% 1.30/0.67 fof(f741,plain,(
% 1.30/0.67 ![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))),
% 1.30/0.67 inference(cnf_transformation,[status(thm)],[f35])).
% 1.30/0.67 fof(f800,plain,(
% 1.30/0.67 ![X0,X1]: (~class_Ring__and__Field_Oordered__field(X0)|~class_Ring__and__Field_Odivision__by__zero(X0)|c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)|~c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0))),
% 1.30/0.67 inference(cnf_transformation,[status(thm)],[f69])).
% 1.30/0.67 fof(f801,plain,(
% 1.30/0.67 ![X0,X1]: (~class_Ring__and__Field_Oordered__field(X0)|~class_Ring__and__Field_Odivision__by__zero(X0)|c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)|~c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0))),
% 1.30/0.67 inference(cnf_transformation,[status(thm)],[f70])).
% 1.30/0.67 fof(f894,plain,(
% 1.30/0.67 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)),
% 1.30/0.67 inference(cnf_transformation,[status(thm)],[f132])).
% 1.30/0.67 fof(f962,plain,(
% 1.30/0.67 ![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))),
% 1.30/0.67 inference(cnf_transformation,[status(thm)],[f172])).
% 1.30/0.67 fof(f1050,plain,(
% 1.30/0.67 c_Transcendental_Ocos(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))=c_HOL_Oone__class_Oone(tc_RealDef_Oreal)),
% 1.30/0.67 inference(cnf_transformation,[status(thm)],[f228])).
% 1.30/0.67 fof(f1056,plain,(
% 1.30/0.67 ![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))),
% 1.30/0.67 inference(miniscoping,[status(thm)],[f234])).
% 1.30/0.67 fof(f1057,plain,(
% 1.30/0.67 ![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))),
% 1.30/0.67 inference(cnf_transformation,[status(thm)],[f1056])).
% 1.30/0.67 fof(f1058,plain,(
% 1.30/0.67 ![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))),
% 1.30/0.67 inference(miniscoping,[status(thm)],[f235])).
% 1.30/0.67 fof(f1059,plain,(
% 1.30/0.67 ![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))),
% 1.30/0.67 inference(cnf_transformation,[status(thm)],[f1058])).
% 1.30/0.67 fof(f1183,plain,(
% 1.30/0.67 ![X0,X1]: (~class_OrderedGroup_Oordered__ab__group__add(X0)|~c_HOL_Ouminus__class_Ouminus(X1,X0)=X1|X1=c_HOL_Ozero__class_Ozero(X0))),
% 1.30/0.67 inference(cnf_transformation,[status(thm)],[f320])).
% 1.30/0.67 fof(f1307,plain,(
% 1.30/0.67 ![X0]: (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)=X0)),
% 1.30/0.67 inference(cnf_transformation,[status(thm)],[f402])).
% 1.30/0.67 fof(f1332,plain,(
% 1.30/0.67 ![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))),
% 1.30/0.67 inference(miniscoping,[status(thm)],[f426])).
% 1.30/0.67 fof(f1333,plain,(
% 1.30/0.67 ![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))),
% 1.30/0.67 inference(cnf_transformation,[status(thm)],[f1332])).
% 1.30/0.67 fof(f1334,plain,(
% 1.30/0.67 ![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))),
% 1.30/0.67 inference(miniscoping,[status(thm)],[f427])).
% 1.30/0.67 fof(f1335,plain,(
% 1.30/0.67 ![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))),
% 1.30/0.67 inference(cnf_transformation,[status(thm)],[f1334])).
% 1.30/0.67 fof(f1361,plain,(
% 1.30/0.67 ![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))),
% 1.30/0.67 inference(cnf_transformation,[status(thm)],[f452])).
% 1.30/0.67 fof(f1378,plain,(
% 1.30/0.67 ![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))),
% 1.30/0.67 inference(cnf_transformation,[status(thm)],[f463])).
% 1.30/0.67 fof(f1383,plain,(
% 1.30/0.67 ![X0]: (~c_HOL_Oord__class_Oless(X0,X0,tc_RealDef_Oreal))),
% 1.30/0.67 inference(cnf_transformation,[status(thm)],[f466])).
% 1.30/0.67 fof(f1393,plain,(
% 1.30/0.67 ![X0,X1]: (c_lessequals(X0,X1,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal))),
% 1.30/0.67 inference(cnf_transformation,[status(thm)],[f473])).
% 1.30/0.67 fof(f1400,plain,(
% 1.30/0.67 ![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))),
% 1.30/0.67 inference(cnf_transformation,[status(thm)],[f479])).
% 1.30/0.67 fof(f1423,plain,(
% 1.30/0.67 ![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))),
% 1.30/0.67 inference(miniscoping,[status(thm)],[f493])).
% 1.30/0.67 fof(f1424,plain,(
% 1.30/0.67 ![X0,X1,X2]: (c_lessequals(X0,X1,tc_RealDef_Oreal)|~c_lessequals(X2,X1,tc_RealDef_Oreal)|~c_lessequals(X0,X2,tc_RealDef_Oreal))),
% 1.30/0.67 inference(cnf_transformation,[status(thm)],[f1423])).
% 1.30/0.67 fof(f1425,plain,(
% 1.30/0.67 ![X0]: (c_lessequals(X0,X0,tc_RealDef_Oreal))),
% 1.30/0.67 inference(cnf_transformation,[status(thm)],[f494])).
% 1.30/0.67 fof(f1447,plain,(
% 1.30/0.67 ![X0,X1]: (c_lessequals(X0,X1,tc_RealDef_Oreal)|c_lessequals(X1,X0,tc_RealDef_Oreal))),
% 1.30/0.67 inference(cnf_transformation,[status(thm)],[f507])).
% 1.30/0.67 fof(f1457,plain,(
% 1.30/0.67 ~c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal)),
% 1.30/0.67 inference(cnf_transformation,[status(thm)],[f514])).
% 1.30/0.67 fof(f1485,plain,(
% 1.30/0.67 ![X0,X1]: (c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)|X0=X1|~c_lessequals(X0,X1,tc_RealDef_Oreal))),
% 1.30/0.67 inference(cnf_transformation,[status(thm)],[f533])).
% 1.30/0.67 fof(f1488,plain,(
% 1.30/0.67 c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal)),
% 1.30/0.67 inference(cnf_transformation,[status(thm)],[f536])).
% 1.30/0.67 fof(f1489,plain,(
% 1.30/0.67 ![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))),
% 1.30/0.67 inference(cnf_transformation,[status(thm)],[f537])).
% 1.30/0.67 fof(f1519,plain,(
% 1.30/0.67 ![X0,X1]: (X0=X1|~c_lessequals(X1,X0,tc_RealDef_Oreal)|~c_lessequals(X0,X1,tc_RealDef_Oreal))),
% 1.30/0.67 inference(cnf_transformation,[status(thm)],[f556])).
% 1.30/0.67 fof(f1543,plain,(
% 1.30/0.67 ![X0,X1]: (c_lessequals(X0,X1,tc_RealDef_Oreal)|~c_lessequals(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal))),
% 1.30/0.67 inference(cnf_transformation,[status(thm)],[f573])).
% 1.30/0.67 fof(f1584,plain,(
% 1.30/0.67 ![T_a]: (~class_OrderedGroup_Omonoid__add(T_a)|(![V_a]: c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=V_a))),
% 1.30/0.67 inference(miniscoping,[status(thm)],[f600])).
% 1.30/0.67 fof(f1585,plain,(
% 1.30/0.67 ![X0,X1]: (~class_OrderedGroup_Omonoid__add(X0)|c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0)=X1)),
% 1.30/0.67 inference(cnf_transformation,[status(thm)],[f1584])).
% 1.30/0.67 fof(f1586,plain,(
% 1.30/0.67 ![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))),
% 1.30/0.67 inference(miniscoping,[status(thm)],[f601])).
% 1.30/0.67 fof(f1587,plain,(
% 1.30/0.67 ![X0,X1]: (~class_OrderedGroup_Omonoid__add(X0)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0)=X1)),
% 1.30/0.67 inference(cnf_transformation,[status(thm)],[f1586])).
% 1.30/0.67 fof(f1605,plain,(
% 1.30/0.67 ![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))),
% 1.30/0.67 inference(cnf_transformation,[status(thm)],[f611])).
% 1.30/0.67 fof(f1606,plain,(
% 1.30/0.67 ~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)),
% 1.30/0.67 inference(cnf_transformation,[status(thm)],[f612])).
% 1.30/0.67 fof(f1611,plain,(
% 1.30/0.67 class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal)),
% 1.30/0.67 inference(cnf_transformation,[status(thm)],[f617])).
% 1.30/0.67 fof(f1622,plain,(
% 1.30/0.67 class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal)),
% 1.30/0.67 inference(cnf_transformation,[status(thm)],[f628])).
% 1.30/0.67 fof(f1629,plain,(
% 1.30/0.67 class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)),
% 1.30/0.67 inference(cnf_transformation,[status(thm)],[f635])).
% 1.30/0.67 fof(f1638,plain,(
% 1.30/0.67 class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal)),
% 1.30/0.67 inference(cnf_transformation,[status(thm)],[f644])).
% 1.30/0.67 fof(f1652,plain,(
% 1.30/0.67 class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal)),
% 1.30/0.67 inference(cnf_transformation,[status(thm)],[f658])).
% 1.30/0.67 fof(f1700,definition,(
% 1.30/0.67 sQ2_spl <=> (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))),
% 1.30/0.67 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 1.30/0.67 fof(f1702,plain,(
% 1.30/0.67 ~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)|sQ2_spl),
% 1.30/0.67 inference(component_clause,[status(thm)],[f1700])).
% 1.30/0.67 fof(f1703,definition,(
% 1.30/0.67 sQ3_spl <=> (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))),
% 1.30/0.67 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 1.30/0.67 fof(f1705,plain,(
% 1.30/0.67 ~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)|sQ3_spl),
% 1.30/0.67 inference(component_clause,[status(thm)],[f1703])).
% 1.30/0.67 fof(f1706,plain,(
% 1.30/0.67 ~sQ2_spl|~sQ3_spl),
% 1.30/0.67 inference(split_clause,[status(thm)],[f1606,f1700,f1703])).
% 1.30/0.67 fof(f1708,plain,(
% 1.30/0.67 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)),
% 1.30/0.67 inference(resolution,[status(thm)],[f962,f1307])).
% 1.30/0.67 fof(f1711,plain,(
% 1.30/0.67 ~c_HOL_Oone__class_Oone(tc_RealDef_Oreal)=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_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)),
% 1.30/0.67 inference(paramodulation,[status(thm)],[f894,f962])).
% 1.30/0.67 fof(f1712,definition,(
% 1.30/0.67 sQ4_spl <=> (c_HOL_Oone__class_Oone(tc_RealDef_Oreal)=c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 1.30/0.67 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 1.30/0.67 fof(f1713,plain,(
% 1.30/0.67 c_HOL_Oone__class_Oone(tc_RealDef_Oreal)=c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|~sQ4_spl),
% 1.30/0.67 inference(component_clause,[status(thm)],[f1712])).
% 1.30/0.67 fof(f1715,definition,(
% 1.30/0.67 sQ5_spl <=> (c_HOL_Oone__class_Oone(tc_RealDef_Oreal)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal))),
% 1.30/0.67 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 1.30/0.67 fof(f1718,plain,(
% 1.30/0.67 sQ4_spl|sQ5_spl),
% 1.30/0.67 inference(split_clause,[status(thm)],[f1708,f1712,f1715])).
% 1.30/0.67 fof(f1719,definition,(
% 1.30/0.67 sQ6_spl <=> (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))),
% 1.30/0.67 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 1.30/0.67 fof(f1724,plain,(
% 1.30/0.67 ~sQ5_spl|sQ6_spl|sQ4_spl),
% 1.30/0.67 inference(split_clause,[status(thm)],[f1711,f1715,f1719,f1712])).
% 1.30/0.67 fof(f1725,plain,(
% 1.30/0.67 ![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))),
% 1.30/0.67 inference(paramodulation,[status(thm)],[f1307,f1057])).
% 1.30/0.67 fof(f1729,definition,(
% 1.30/0.67 ![X0]: (sQ7_spl <=> (~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)))),
% 1.30/0.67 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 1.30/0.67 fof(f1732,definition,(
% 1.30/0.67 sQ8_spl <=> (c_HOL_Oone__class_Oone(tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 1.30/0.67 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 1.30/0.67 fof(f1733,plain,(
% 1.30/0.67 c_HOL_Oone__class_Oone(tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|~sQ8_spl),
% 1.30/0.67 inference(component_clause,[status(thm)],[f1732])).
% 1.30/0.67 fof(f1735,plain,(
% 1.30/0.67 sQ7_spl|sQ8_spl),
% 1.30/0.67 inference(split_clause,[status(thm)],[f1725,f1729,f1732])).
% 1.30/0.67 fof(f1744,plain,(
% 1.30/0.67 ![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))),
% 1.30/0.67 inference(paramodulation,[status(thm)],[f1307,f1059])).
% 1.30/0.67 fof(f1746,definition,(
% 1.30/0.67 ![X0]: (sQ10_spl <=> (~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)))),
% 1.30/0.67 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 1.30/0.67 fof(f1749,plain,(
% 1.30/0.67 sQ10_spl|sQ8_spl),
% 1.30/0.67 inference(split_clause,[status(thm)],[f1744,f1746,f1732])).
% 1.30/0.67 fof(f1755,plain,(
% 1.30/0.67 ![X0,X1]: (c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)=X0|~c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|~class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 1.30/0.67 inference(resolution,[status(thm)],[f1485,f702])).
% 1.30/0.67 fof(f1756,plain,(
% 1.30/0.67 ![X0,X1]: (c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)=X0|~c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|~class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 1.30/0.67 inference(resolution,[status(thm)],[f1485,f701])).
% 1.30/0.67 fof(f1757,plain,(
% 1.30/0.67 ![X0,X1]: (c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)=X0|~c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|~class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 1.30/0.67 inference(resolution,[status(thm)],[f1485,f700])).
% 1.30/0.67 fof(f1760,definition,(
% 1.30/0.67 ![X0,X1]: (sQ11_spl <=> (c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)=X0|~c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)))),
% 1.30/0.67 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 1.30/0.67 fof(f1763,definition,(
% 1.30/0.67 sQ12_spl <=> (class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal))),
% 1.30/0.67 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 1.30/0.67 fof(f1765,plain,(
% 1.30/0.67 ~class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal)|sQ12_spl),
% 1.30/0.67 inference(component_clause,[status(thm)],[f1763])).
% 1.30/0.67 fof(f1766,plain,(
% 1.30/0.67 sQ11_spl|~sQ12_spl),
% 1.30/0.67 inference(split_clause,[status(thm)],[f1755,f1760,f1763])).
% 1.30/0.67 fof(f1767,definition,(
% 1.30/0.67 ![X0,X1]: (sQ13_spl <=> (c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)=X0|~c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),tc_RealDef_Oreal)))),
% 1.30/0.67 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 1.30/0.67 fof(f1770,plain,(
% 1.30/0.67 sQ13_spl|~sQ12_spl),
% 1.30/0.67 inference(split_clause,[status(thm)],[f1756,f1767,f1763])).
% 1.30/0.67 fof(f1771,definition,(
% 1.30/0.67 ![X0,X1]: (sQ14_spl <=> (c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)=X0|~c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)))),
% 1.30/0.67 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 1.30/0.67 fof(f1774,plain,(
% 1.30/0.67 sQ14_spl|~sQ12_spl),
% 1.30/0.67 inference(split_clause,[status(thm)],[f1757,f1771,f1763])).
% 1.30/0.67 fof(f1775,plain,(
% 1.30/0.67 $false|sQ12_spl),
% 1.30/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1765,f1611])).
% 1.30/0.67 fof(f1776,plain,(
% 1.30/0.67 sQ12_spl),
% 1.30/0.67 inference(contradiction_clause,[status(thm)],[f1775])).
% 1.30/0.67 fof(f1780,plain,(
% 1.30/0.67 v_r=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|~c_lessequals(v_r,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 1.30/0.67 inference(resolution,[status(thm)],[f1519,f1488])).
% 1.30/0.67 fof(f1790,definition,(
% 1.30/0.67 sQ16_spl <=> (v_r=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 1.30/0.67 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 1.30/0.67 fof(f1791,plain,(
% 1.30/0.67 v_r=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|~sQ16_spl),
% 1.30/0.67 inference(component_clause,[status(thm)],[f1790])).
% 1.30/0.67 fof(f1793,definition,(
% 1.30/0.67 sQ17_spl <=> (c_lessequals(v_r,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 1.30/0.67 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 1.30/0.67 fof(f1795,plain,(
% 1.30/0.67 ~c_lessequals(v_r,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|sQ17_spl),
% 1.30/0.67 inference(component_clause,[status(thm)],[f1793])).
% 1.30/0.67 fof(f1796,plain,(
% 1.30/0.67 sQ16_spl|~sQ17_spl),
% 1.30/0.67 inference(split_clause,[status(thm)],[f1780,f1790,f1793])).
% 1.30/0.67 fof(f1828,definition,(
% 1.30/0.67 sQ21_spl <=> (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))),
% 1.30/0.67 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 1.30/0.67 fof(f1830,plain,(
% 1.30/0.67 ~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)|sQ21_spl),
% 1.30/0.67 inference(component_clause,[status(thm)],[f1828])).
% 1.30/0.67 fof(f1838,plain,(
% 1.30/0.67 $false|~sQ8_spl),
% 1.30/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1733,f1457])).
% 1.30/0.67 fof(f1839,plain,(
% 1.30/0.67 ~sQ8_spl),
% 1.30/0.67 inference(contradiction_clause,[status(thm)],[f1838])).
% 1.30/0.67 fof(f1845,plain,(
% 1.30/0.67 ![X0]: (c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal)=X0|c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 1.30/0.67 inference(resolution,[status(thm)],[f1400,f1393])).
% 1.30/0.67 fof(f1846,plain,(
% 1.30/0.67 c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 1.30/0.67 inference(resolution,[status(thm)],[f1400,f1383])).
% 1.30/0.67 fof(f1847,definition,(
% 1.30/0.67 sQ23_spl <=> (c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 1.30/0.67 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 1.30/0.67 fof(f1873,plain,(
% 1.30/0.67 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)|sQ3_spl),
% 1.30/0.67 inference(resolution,[status(thm)],[f1705,f1485])).
% 1.30/0.67 fof(f1874,definition,(
% 1.30/0.67 sQ27_spl <=> (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))),
% 1.30/0.67 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 1.30/0.67 fof(f1875,plain,(
% 1.30/0.67 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)|~sQ27_spl),
% 1.30/0.67 inference(component_clause,[status(thm)],[f1874])).
% 1.30/0.67 fof(f1877,definition,(
% 1.30/0.67 sQ28_spl <=> (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))),
% 1.30/0.67 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 1.30/0.67 fof(f1879,plain,(
% 1.30/0.67 ~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)|sQ28_spl),
% 1.30/0.67 inference(component_clause,[status(thm)],[f1877])).
% 1.30/0.67 fof(f1880,plain,(
% 1.30/0.67 sQ27_spl|~sQ28_spl|sQ3_spl),
% 1.30/0.67 inference(split_clause,[status(thm)],[f1873,f1874,f1877,f1703])).
% 1.30/0.67 fof(f1892,plain,(
% 1.30/0.67 c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal)=v_r|sQ17_spl),
% 1.30/0.67 inference(resolution,[status(thm)],[f1845,f1795])).
% 1.30/0.67 fof(f1899,plain,(
% 1.30/0.67 ![X0]: (c_lessequals(X0,c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 1.30/0.67 inference(resolution,[status(thm)],[f1543,f1447])).
% 1.30/0.67 fof(f1917,plain,(
% 1.30/0.67 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)|sQ21_spl),
% 1.30/0.67 inference(resolution,[status(thm)],[f1830,f1447])).
% 1.30/0.67 fof(f1927,plain,(
% 1.30/0.67 ![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))),
% 1.30/0.67 inference(resolution,[status(thm)],[f1899,f1519])).
% 1.30/0.67 fof(f1946,plain,(
% 1.30/0.67 ![X0,X1,X2]: (X0=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|~class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 1.30/0.67 inference(resolution,[status(thm)],[f1333,f702])).
% 1.30/0.67 fof(f1947,plain,(
% 1.30/0.67 ![X0,X1,X2]: (X0=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|~class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 1.30/0.67 inference(resolution,[status(thm)],[f1333,f701])).
% 1.30/0.67 fof(f1948,plain,(
% 1.30/0.67 ![X0,X1,X2]: (X0=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|~class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 1.30/0.67 inference(resolution,[status(thm)],[f1333,f700])).
% 1.30/0.67 fof(f1951,plain,(
% 1.30/0.67 ![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))),
% 1.30/0.67 inference(paramodulation,[status(thm)],[f1307,f1333])).
% 1.30/0.67 fof(f1953,definition,(
% 1.30/0.67 ![X0,X1,X2]: (sQ30_spl <=> (X0=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal)))),
% 1.30/0.67 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 1.30/0.67 fof(f1956,plain,(
% 1.30/0.67 sQ30_spl|~sQ12_spl),
% 1.30/0.67 inference(split_clause,[status(thm)],[f1946,f1953,f1763])).
% 1.30/0.67 fof(f1957,definition,(
% 1.30/0.67 ![X0,X1,X2]: (sQ31_spl <=> (X0=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)))),
% 1.30/0.67 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 1.30/0.67 fof(f1960,plain,(
% 1.30/0.67 sQ31_spl|~sQ12_spl),
% 1.30/0.67 inference(split_clause,[status(thm)],[f1947,f1957,f1763])).
% 1.30/0.67 fof(f1961,definition,(
% 1.30/0.67 ![X0,X1,X2]: (sQ32_spl <=> (X0=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)))),
% 1.30/0.67 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 1.30/0.67 fof(f1964,plain,(
% 1.30/0.67 sQ32_spl|~sQ12_spl),
% 1.30/0.67 inference(split_clause,[status(thm)],[f1948,f1961,f1763])).
% 1.30/0.67 fof(f1965,definition,(
% 1.30/0.67 ![X0]: (sQ33_spl <=> (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)))),
% 1.30/0.67 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 1.30/0.67 fof(f1968,plain,(
% 1.30/0.67 sQ33_spl|sQ8_spl),
% 1.30/0.67 inference(split_clause,[status(thm)],[f1951,f1965,f1732])).
% 1.30/0.67 fof(f1969,plain,(
% 1.30/0.67 ![X0,X1,X2]: (X0=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|~class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 1.30/0.67 inference(resolution,[status(thm)],[f1335,f702])).
% 1.30/0.67 fof(f1970,plain,(
% 1.30/0.67 ![X0,X1,X2]: (X0=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|~class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 1.30/0.67 inference(resolution,[status(thm)],[f1335,f701])).
% 1.30/0.67 fof(f1971,plain,(
% 1.30/0.67 ![X0,X1,X2]: (X0=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|~class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 1.30/0.67 inference(resolution,[status(thm)],[f1335,f700])).
% 1.30/0.67 fof(f1975,plain,(
% 1.30/0.67 ![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))),
% 1.30/0.67 inference(paramodulation,[status(thm)],[f1307,f1335])).
% 1.30/0.67 fof(f1976,definition,(
% 1.30/0.67 ![X0,X1,X2]: (sQ34_spl <=> (X0=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal)))),
% 1.30/0.67 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 1.30/0.67 fof(f1979,plain,(
% 1.30/0.67 sQ34_spl|~sQ12_spl),
% 1.30/0.67 inference(split_clause,[status(thm)],[f1969,f1976,f1763])).
% 1.30/0.67 fof(f1980,definition,(
% 1.30/0.67 ![X0,X1,X2]: (sQ35_spl <=> (X0=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)))),
% 1.30/0.67 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 1.30/0.67 fof(f1983,plain,(
% 1.30/0.67 sQ35_spl|~sQ12_spl),
% 1.30/0.67 inference(split_clause,[status(thm)],[f1970,f1980,f1763])).
% 1.30/0.67 fof(f1984,definition,(
% 1.30/0.67 ![X0,X1,X2]: (sQ36_spl <=> (X0=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)))),
% 1.30/0.67 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 1.30/0.67 fof(f1987,plain,(
% 1.30/0.67 sQ36_spl|~sQ12_spl),
% 1.30/0.67 inference(split_clause,[status(thm)],[f1971,f1984,f1763])).
% 1.30/0.67 fof(f1988,definition,(
% 1.30/0.67 ![X0]: (sQ37_spl <=> (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)))),
% 1.30/0.67 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 1.30/0.67 fof(f1991,plain,(
% 1.30/0.67 sQ37_spl|sQ8_spl),
% 1.30/0.67 inference(split_clause,[status(thm)],[f1975,f1988,f1732])).
% 1.30/0.67 fof(f2012,plain,(
% 1.30/0.67 c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal)=v_r|~c_lessequals(v_r,v_r,tc_RealDef_Oreal)|sQ17_spl),
% 1.30/0.67 inference(paramodulation,[status(thm)],[f1892,f1927])).
% 1.30/0.67 fof(f2015,plain,(
% 1.30/0.67 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_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 1.30/0.67 inference(paramodulation,[status(thm)],[f1846,f1927])).
% 1.30/0.67 fof(f2021,definition,(
% 1.30/0.67 sQ39_spl <=> (c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal)=v_r)),
% 1.30/0.67 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 1.30/0.67 fof(f2022,plain,(
% 1.30/0.67 c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal)=v_r|~sQ39_spl),
% 1.30/0.67 inference(component_clause,[status(thm)],[f2021])).
% 1.30/0.67 fof(f2024,definition,(
% 1.30/0.67 sQ40_spl <=> (c_lessequals(v_r,v_r,tc_RealDef_Oreal))),
% 1.30/0.67 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 1.30/0.67 fof(f2026,plain,(
% 1.30/0.67 ~c_lessequals(v_r,v_r,tc_RealDef_Oreal)|sQ40_spl),
% 1.30/0.67 inference(component_clause,[status(thm)],[f2024])).
% 1.30/0.67 fof(f2027,plain,(
% 1.30/0.67 sQ39_spl|~sQ40_spl|sQ17_spl),
% 1.30/0.67 inference(split_clause,[status(thm)],[f2012,f2021,f2024,f1793])).
% 1.30/0.67 fof(f2028,definition,(
% 1.30/0.67 sQ41_spl <=> (c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 1.30/0.67 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 1.30/0.67 fof(f2030,plain,(
% 1.30/0.67 ~c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|sQ41_spl),
% 1.30/0.67 inference(component_clause,[status(thm)],[f2028])).
% 1.30/0.67 fof(f2031,plain,(
% 1.30/0.67 sQ23_spl|~sQ41_spl),
% 1.30/0.67 inference(split_clause,[status(thm)],[f2015,f1847,f2028])).
% 1.30/0.67 fof(f2032,plain,(
% 1.30/0.67 $false|sQ41_spl),
% 1.30/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2030,f1425])).
% 1.30/0.67 fof(f2033,plain,(
% 1.30/0.67 sQ41_spl),
% 1.30/0.67 inference(contradiction_clause,[status(thm)],[f2032])).
% 1.30/0.67 fof(f2034,plain,(
% 1.30/0.67 $false|sQ40_spl),
% 1.30/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2026,f1425])).
% 1.30/0.67 fof(f2035,plain,(
% 1.30/0.67 sQ40_spl),
% 1.30/0.67 inference(contradiction_clause,[status(thm)],[f2034])).
% 1.30/0.67 fof(f2049,definition,(
% 1.30/0.67 sQ44_spl <=> (c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 1.30/0.67 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 1.30/0.67 fof(f2051,plain,(
% 1.30/0.67 ~c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|sQ44_spl),
% 1.30/0.67 inference(component_clause,[status(thm)],[f2049])).
% 1.30/0.67 fof(f2053,plain,(
% 1.30/0.67 $false|sQ44_spl),
% 1.30/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2051,f1425])).
% 1.30/0.67 fof(f2054,plain,(
% 1.30/0.67 sQ44_spl),
% 1.30/0.67 inference(contradiction_clause,[status(thm)],[f2053])).
% 1.30/0.67 fof(f2070,plain,(
% 1.30/0.67 ~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)|sQ17_spl),
% 1.30/0.67 inference(paramodulation,[status(thm)],[f1892,f1378])).
% 1.30/0.67 fof(f2125,plain,(
% 1.30/0.67 c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Complex_ORe(v_s(v_f____(v_x))),tc_RealDef_Oreal)|~sQ27_spl|sQ21_spl),
% 1.30/0.67 inference(backward_demodulation,[status(thm)],[f1875,f1917])).
% 1.30/0.67 fof(f2129,plain,(
% 1.30/0.67 c_Complex_ORe(v_s(v_f____(v_x)))=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|~c_lessequals(c_Complex_ORe(v_s(v_f____(v_x))),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~sQ27_spl|sQ21_spl),
% 1.30/0.67 inference(resolution,[status(thm)],[f2125,f1519])).
% 1.30/0.67 fof(f2130,definition,(
% 1.30/0.67 sQ49_spl <=> (c_Complex_ORe(v_s(v_f____(v_x)))=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 1.30/0.67 introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition])).
% 1.30/0.67 fof(f2131,plain,(
% 1.30/0.67 c_Complex_ORe(v_s(v_f____(v_x)))=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|~sQ49_spl),
% 1.30/0.67 inference(component_clause,[status(thm)],[f2130])).
% 1.30/0.67 fof(f2133,definition,(
% 1.30/0.67 sQ50_spl <=> (c_lessequals(c_Complex_ORe(v_s(v_f____(v_x))),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 1.30/0.67 introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition])).
% 1.30/0.67 fof(f2135,plain,(
% 1.30/0.67 ~c_lessequals(c_Complex_ORe(v_s(v_f____(v_x))),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|sQ50_spl),
% 1.30/0.67 inference(component_clause,[status(thm)],[f2133])).
% 1.30/0.67 fof(f2136,plain,(
% 1.30/0.67 sQ49_spl|~sQ50_spl|~sQ27_spl|sQ21_spl),
% 1.30/0.67 inference(split_clause,[status(thm)],[f2129,f2130,f2133,f1874,f1828])).
% 1.30/0.67 fof(f2154,plain,(
% 1.30/0.67 c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)=v_r|~sQ16_spl),
% 1.30/0.67 inference(backward_demodulation,[status(thm)],[f1791,f1846])).
% 1.30/0.67 fof(f2164,plain,(
% 1.30/0.67 c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal)=v_r|~sQ16_spl),
% 1.30/0.67 inference(forward_demodulation,[status(thm)],[f1791,f2154])).
% 1.30/0.67 fof(f2168,plain,(
% 1.30/0.67 ~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)|~sQ39_spl),
% 1.30/0.67 inference(paramodulation,[status(thm)],[f2022,f1378])).
% 1.30/0.67 fof(f2178,plain,(
% 1.30/0.67 ![X0]: (c_HOL_Oord__class_Oless(v_r,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)|~sQ16_spl)),
% 1.30/0.67 inference(forward_demodulation,[status(thm)],[f1791,f1361])).
% 1.30/0.67 fof(f2180,plain,(
% 1.30/0.67 c_HOL_Oord__class_Oless(v_r,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal),tc_RealDef_Oreal)|~sQ16_spl|~sQ39_spl),
% 1.30/0.67 inference(paramodulation,[status(thm)],[f2022,f2178])).
% 1.30/0.67 fof(f2202,definition,(
% 1.30/0.67 sQ53_spl <=> (c_lessequals(c_Complex_ORe(v_s(v_f____(v_x))),v_r,tc_RealDef_Oreal))),
% 1.30/0.67 introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition])).
% 1.30/0.67 fof(f2204,plain,(
% 1.30/0.67 ~c_lessequals(c_Complex_ORe(v_s(v_f____(v_x))),v_r,tc_RealDef_Oreal)|sQ53_spl),
% 1.30/0.67 inference(component_clause,[status(thm)],[f2202])).
% 1.30/0.67 fof(f2235,plain,(
% 1.30/0.67 ![X0]: (c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(v_s(X0)),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~sQ27_spl)),
% 1.30/0.67 inference(forward_demodulation,[status(thm)],[f1875,f1489])).
% 1.30/0.67 fof(f2236,plain,(
% 1.30/0.67 ![X0]: (c_lessequals(c_Complex_ORe(v_s(X0)),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~sQ27_spl)),
% 1.30/0.67 inference(resolution,[status(thm)],[f2235,f1543])).
% 1.30/0.67 fof(f2247,plain,(
% 1.30/0.67 ![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))),
% 1.30/0.67 inference(resolution,[status(thm)],[f729,f1638])).
% 1.30/0.67 fof(f2248,definition,(
% 1.30/0.67 sQ54_spl <=> (class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal))),
% 1.30/0.67 introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition])).
% 1.30/0.68 fof(f2250,plain,(
% 1.30/0.68 ~class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)|sQ54_spl),
% 1.30/0.68 inference(component_clause,[status(thm)],[f2248])).
% 1.30/0.68 fof(f2251,definition,(
% 1.30/0.68 ![X0]: (sQ55_spl <=> (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)))),
% 1.30/0.68 introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition])).
% 1.30/0.68 fof(f2254,plain,(
% 1.30/0.68 ~sQ54_spl|sQ55_spl),
% 1.30/0.68 inference(split_clause,[status(thm)],[f2247,f2248,f2251])).
% 1.30/0.68 fof(f2255,plain,(
% 1.30/0.68 $false|sQ54_spl),
% 1.30/0.68 inference(forward_subsumption_resolution,[status(thm)],[f2250,f1629])).
% 1.30/0.68 fof(f2256,plain,(
% 1.30/0.68 sQ54_spl),
% 1.30/0.68 inference(contradiction_clause,[status(thm)],[f2255])).
% 1.30/0.68 fof(f2257,plain,(
% 1.30/0.68 ![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))),
% 1.30/0.68 inference(resolution,[status(thm)],[f730,f1638])).
% 1.30/0.68 fof(f2258,definition,(
% 1.30/0.68 ![X0]: (sQ56_spl <=> (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)))),
% 1.30/0.68 introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition])).
% 1.30/0.68 fof(f2261,plain,(
% 1.30/0.68 ~sQ54_spl|sQ56_spl),
% 1.30/0.68 inference(split_clause,[status(thm)],[f2257,f2248,f2258])).
% 1.30/0.68 fof(f2270,plain,(
% 1.30/0.68 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)|sQ28_spl),
% 1.30/0.68 inference(resolution,[status(thm)],[f1879,f1447])).
% 1.30/0.68 fof(f2304,plain,(
% 1.30/0.68 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)|~sQ39_spl),
% 1.30/0.68 inference(resolution,[status(thm)],[f2168,f1485])).
% 1.30/0.68 fof(f2305,definition,(
% 1.30/0.68 sQ57_spl <=> (c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)=v_r)),
% 1.30/0.68 introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition])).
% 1.30/0.68 fof(f2306,plain,(
% 1.30/0.68 c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)=v_r|~sQ57_spl),
% 1.30/0.68 inference(component_clause,[status(thm)],[f2305])).
% 1.30/0.68 fof(f2308,definition,(
% 1.30/0.68 sQ58_spl <=> (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))),
% 1.30/0.68 introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition])).
% 1.30/0.68 fof(f2310,plain,(
% 1.30/0.68 ~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)|sQ58_spl),
% 1.30/0.68 inference(component_clause,[status(thm)],[f2308])).
% 1.30/0.68 fof(f2311,plain,(
% 1.30/0.68 sQ57_spl|~sQ58_spl|~sQ39_spl),
% 1.30/0.68 inference(split_clause,[status(thm)],[f2304,f2305,f2308,f2021])).
% 1.30/0.68 fof(f2314,plain,(
% 1.30/0.68 ~c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal)|~sQ57_spl|sQ28_spl),
% 1.30/0.68 inference(backward_demodulation,[status(thm)],[f2306,f1879])).
% 1.30/0.68 fof(f2319,plain,(
% 1.30/0.68 $false|~sQ57_spl|sQ28_spl),
% 1.30/0.68 inference(forward_subsumption_resolution,[status(thm)],[f2314,f1488])).
% 1.30/0.68 fof(f2320,plain,(
% 1.30/0.68 ~sQ57_spl|sQ28_spl),
% 1.30/0.68 inference(contradiction_clause,[status(thm)],[f2319])).
% 1.30/0.68 fof(f2332,plain,(
% 1.30/0.68 $false|sQ2_spl),
% 1.30/0.68 inference(forward_subsumption_resolution,[status(thm)],[f1702,f1605])).
% 1.30/0.68 fof(f2333,plain,(
% 1.30/0.68 sQ2_spl),
% 1.30/0.68 inference(contradiction_clause,[status(thm)],[f2332])).
% 1.30/0.68 fof(f2384,plain,(
% 1.30/0.68 ~c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal)|~sQ49_spl|sQ53_spl),
% 1.30/0.68 inference(forward_demodulation,[status(thm)],[f2131,f2204])).
% 1.30/0.68 fof(f2385,plain,(
% 1.30/0.68 $false|~sQ49_spl|sQ53_spl),
% 1.30/0.68 inference(forward_subsumption_resolution,[status(thm)],[f2384,f1488])).
% 1.30/0.68 fof(f2386,plain,(
% 1.30/0.68 ~sQ49_spl|sQ53_spl),
% 1.30/0.68 inference(contradiction_clause,[status(thm)],[f2385])).
% 1.30/0.68 fof(f2387,plain,(
% 1.30/0.68 $false|~sQ27_spl|sQ50_spl),
% 1.30/0.68 inference(forward_subsumption_resolution,[status(thm)],[f2135,f2236])).
% 1.30/0.68 fof(f2388,plain,(
% 1.30/0.68 ~sQ27_spl|sQ50_spl),
% 1.30/0.68 inference(contradiction_clause,[status(thm)],[f2387])).
% 1.30/0.68 fof(f2405,plain,(
% 1.30/0.68 ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal)|~sQ27_spl|sQ17_spl),
% 1.30/0.68 inference(forward_demodulation,[status(thm)],[f1875,f2070])).
% 1.30/0.68 fof(f2406,plain,(
% 1.30/0.68 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)|~sQ27_spl|sQ17_spl),
% 1.30/0.68 inference(resolution,[status(thm)],[f2405,f1485])).
% 1.30/0.68 fof(f2407,definition,(
% 1.30/0.68 sQ59_spl <=> (c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal))),
% 1.30/0.68 introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition])).
% 1.30/0.68 fof(f2409,plain,(
% 1.30/0.68 ~c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal)|sQ59_spl),
% 1.30/0.68 inference(component_clause,[status(thm)],[f2407])).
% 1.30/0.68 fof(f2410,plain,(
% 1.30/0.68 sQ16_spl|~sQ59_spl|~sQ27_spl|sQ17_spl),
% 1.30/0.68 inference(split_clause,[status(thm)],[f2406,f1790,f2407,f1874,f1793])).
% 1.30/0.68 fof(f2411,plain,(
% 1.30/0.68 $false|sQ59_spl),
% 1.30/0.68 inference(forward_subsumption_resolution,[status(thm)],[f2409,f1488])).
% 1.30/0.68 fof(f2412,plain,(
% 1.30/0.68 sQ59_spl),
% 1.30/0.68 inference(contradiction_clause,[status(thm)],[f2411])).
% 1.30/0.68 fof(f2446,plain,(
% 1.30/0.68 c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal)=v_r|~c_lessequals(v_r,v_r,tc_RealDef_Oreal)|~sQ16_spl),
% 1.30/0.68 inference(paramodulation,[status(thm)],[f2164,f1927])).
% 1.30/0.68 fof(f2452,plain,(
% 1.30/0.68 sQ39_spl|~sQ40_spl|~sQ16_spl),
% 1.30/0.68 inference(split_clause,[status(thm)],[f2446,f2021,f2024,f1790])).
% 1.30/0.68 fof(f2472,plain,(
% 1.30/0.68 ~c_HOL_Oord__class_Oless(v_r,c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|~sQ16_spl|sQ3_spl),
% 1.30/0.68 inference(forward_demodulation,[status(thm)],[f1791,f1705])).
% 1.30/0.68 fof(f2530,plain,(
% 1.30/0.68 c_Transcendental_Ocos(v_r)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal)|~sQ16_spl),
% 1.30/0.68 inference(forward_demodulation,[status(thm)],[f1791,f1050])).
% 1.30/0.68 fof(f2538,plain,(
% 1.30/0.68 ![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))),
% 1.30/0.68 inference(resolution,[status(thm)],[f740,f1638])).
% 1.30/0.68 fof(f2539,definition,(
% 1.30/0.68 ![X0]: (sQ65_spl <=> (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)))),
% 1.30/0.68 introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition])).
% 1.30/0.68 fof(f2542,plain,(
% 1.30/0.68 ~sQ54_spl|sQ65_spl),
% 1.30/0.68 inference(split_clause,[status(thm)],[f2538,f2248,f2539])).
% 1.30/0.68 fof(f2545,plain,(
% 1.30/0.68 ![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))),
% 1.30/0.68 inference(resolution,[status(thm)],[f741,f1638])).
% 1.30/0.68 fof(f2546,definition,(
% 1.30/0.68 ![X0]: (sQ66_spl <=> (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)))),
% 1.30/0.68 introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition])).
% 1.30/0.68 fof(f2549,plain,(
% 1.30/0.68 ~sQ54_spl|sQ66_spl),
% 1.30/0.68 inference(split_clause,[status(thm)],[f2545,f2248,f2546])).
% 1.30/0.68 fof(f2877,plain,(
% 1.30/0.68 c_HOL_Oord__class_Oless(v_r,c_HOL_Oplus__class_Oplus(c_Transcendental_Ocos(v_r),v_r,tc_RealDef_Oreal),tc_RealDef_Oreal)|~sQ16_spl|~sQ39_spl),
% 1.30/0.68 inference(forward_demodulation,[status(thm)],[f2530,f2180])).
% 1.30/0.68 fof(f2981,plain,(
% 1.30/0.68 ![X0]: (c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)=X0)),
% 1.30/0.68 inference(resolution,[status(thm)],[f1585,f1652])).
% 1.30/0.68 fof(f2982,plain,(
% 1.30/0.68 ![X0]: (c_HOL_Oplus__class_Oplus(X0,v_r,tc_RealDef_Oreal)=X0|~sQ16_spl)),
% 1.30/0.68 inference(forward_demodulation,[status(thm)],[f1791,f2981])).
% 1.30/0.68 fof(f2983,plain,(
% 1.30/0.68 c_HOL_Oord__class_Oless(v_r,c_Transcendental_Ocos(v_r),tc_RealDef_Oreal)|~sQ16_spl|~sQ39_spl),
% 1.30/0.68 inference(backward_demodulation,[status(thm)],[f2982,f2877])).
% 1.30/0.68 fof(f3017,plain,(
% 1.30/0.68 ![X0]: (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)=X0)),
% 1.30/0.68 inference(resolution,[status(thm)],[f1587,f1652])).
% 1.30/0.68 fof(f3018,plain,(
% 1.30/0.68 ![X0]: (c_HOL_Oplus__class_Oplus(v_r,X0,tc_RealDef_Oreal)=X0|~sQ16_spl)),
% 1.30/0.68 inference(forward_demodulation,[status(thm)],[f1791,f3017])).
% 1.30/0.68 fof(f3088,plain,(
% 1.30/0.68 ~c_HOL_Oord__class_Oless(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|~sQ16_spl|sQ3_spl),
% 1.30/0.68 inference(forward_demodulation,[status(thm)],[f3018,f2472])).
% 1.30/0.68 fof(f3089,plain,(
% 1.30/0.68 ~c_HOL_Oord__class_Oless(v_r,c_Transcendental_Ocos(v_r),tc_RealDef_Oreal)|~sQ16_spl|sQ3_spl),
% 1.30/0.68 inference(forward_demodulation,[status(thm)],[f2530,f3088])).
% 1.30/0.68 fof(f3090,plain,(
% 1.30/0.68 $false|~sQ39_spl|~sQ16_spl|sQ3_spl),
% 1.30/0.68 inference(forward_subsumption_resolution,[status(thm)],[f3089,f2983])).
% 1.30/0.68 fof(f3091,plain,(
% 1.30/0.68 ~sQ39_spl|~sQ16_spl|sQ3_spl),
% 1.30/0.68 inference(contradiction_clause,[status(thm)],[f3090])).
% 1.30/0.68 fof(f3156,plain,(
% 1.30/0.68 ![X0]: (~c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(v_r,X0,tc_RealDef_Oreal)|sQ17_spl)),
% 1.30/0.68 inference(resolution,[status(thm)],[f1795,f1424])).
% 1.30/0.68 fof(f3248,plain,(
% 1.30/0.68 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)|sQ58_spl),
% 1.30/0.68 inference(resolution,[status(thm)],[f2310,f1447])).
% 1.30/0.68 fof(f3664,plain,(
% 1.30/0.68 ~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 1.30/0.68 inference(paramodulation,[status(thm)],[f1846,f1378])).
% 1.30/0.68 fof(f3673,plain,(
% 1.30/0.68 ~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 1.30/0.68 inference(forward_demodulation,[status(thm)],[f3017,f3664])).
% 1.30/0.68 fof(f3750,plain,(
% 1.30/0.68 ![X0]: (~c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal)=X0|X0=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 1.30/0.68 inference(resolution,[status(thm)],[f1183,f1622])).
% 1.30/0.68 fof(f3751,plain,(
% 1.30/0.68 c_HOL_Oone__class_Oone(tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|~sQ4_spl),
% 1.30/0.68 inference(resolution,[status(thm)],[f3750,f1713])).
% 1.30/0.68 fof(f3756,plain,(
% 1.30/0.68 sQ8_spl|~sQ4_spl),
% 1.30/0.68 inference(split_clause,[status(thm)],[f3751,f1732,f1712])).
% 1.30/0.68 fof(f3766,plain,(
% 1.30/0.68 ![X0]: (~class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)|c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|~c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 1.30/0.68 inference(resolution,[status(thm)],[f800,f1638])).
% 1.30/0.68 fof(f3767,definition,(
% 1.30/0.68 ![X0]: (sQ104_spl <=> (c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|~c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal)))),
% 1.30/0.68 introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition])).
% 1.30/0.68 fof(f3770,plain,(
% 1.30/0.68 ~sQ54_spl|sQ104_spl),
% 1.30/0.68 inference(split_clause,[status(thm)],[f3766,f2248,f3767])).
% 1.30/0.68 fof(f3787,plain,(
% 1.30/0.68 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)),
% 1.30/0.68 inference(resolution,[status(thm)],[f3673,f1485])).
% 1.30/0.68 fof(f3788,definition,(
% 1.30/0.68 sQ105_spl <=> (c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 1.30/0.68 introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition])).
% 1.30/0.68 fof(f3791,plain,(
% 1.30/0.68 sQ8_spl|~sQ105_spl),
% 1.30/0.68 inference(split_clause,[status(thm)],[f3787,f1732,f3788])).
% 1.30/0.68 fof(f3846,plain,(
% 1.30/0.68 ![X0]: (~class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)|c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal))),
% 1.30/0.68 inference(resolution,[status(thm)],[f801,f1638])).
% 1.30/0.68 fof(f3847,definition,(
% 1.30/0.68 ![X0]: (sQ107_spl <=> (c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)))),
% 1.30/0.68 introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition])).
% 1.30/0.68 fof(f3850,plain,(
% 1.30/0.68 ~sQ54_spl|sQ107_spl),
% 1.30/0.68 inference(split_clause,[status(thm)],[f3846,f2248,f3847])).
% 1.30/0.68 fof(f3880,plain,(
% 1.30/0.68 ~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)|sQ58_spl|sQ17_spl),
% 1.30/0.68 inference(resolution,[status(thm)],[f3248,f3156])).
% 1.30/0.68 fof(f3883,plain,(
% 1.30/0.68 $false|sQ28_spl|sQ58_spl|sQ17_spl),
% 1.30/0.68 inference(forward_subsumption_resolution,[status(thm)],[f3880,f2270])).
% 1.30/0.68 fof(f3884,plain,(
% 1.30/0.68 sQ28_spl|sQ58_spl|sQ17_spl),
% 1.30/0.68 inference(contradiction_clause,[status(thm)],[f3883])).
% 1.30/0.68 fof(f3885,plain,(
% 1.30/0.68 $false),
% 1.30/0.68 inference(sat_refutation,[status(thm)],[f1706,f1718,f1724,f1735,f1749,f1766,f1770,f1774,f1776,f1796,f1839,f1880,f1956,f1960,f1964,f1968,f1979,f1983,f1987,f1991,f2027,f2031,f2033,f2035,f2054,f2136,f2254,f2256,f2261,f2311,f2320,f2333,f2386,f2388,f2410,f2412,f2452,f2542,f2549,f3091,f3756,f3770,f3791,f3850,f3884])).
% 1.30/0.68 % SZS output end CNFRefutation for theBenchmark.p
% 1.30/0.69 % Elapsed time: 0.308855 seconds
% 1.30/0.69 % CPU time: 1.825630 seconds
% 1.30/0.69 % Total memory used: 163.361 MB
% 1.30/0.69 % Net memory used: 161.995 MB
%------------------------------------------------------------------------------