TSTP Solution File: ALG339-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG339-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 20:11:22 EDT 2024
% Result : Unsatisfiable 120.89s 15.58s
% Output : CNFRefutation 121.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : ALG339-1 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 01:38:41 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.38 % Drodi V3.6.0
% 120.89/15.58 % Refutation found
% 120.89/15.58 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 120.89/15.58 % SZS output start CNFRefutation for theBenchmark
% 120.89/15.58 fof(f1,axiom,(
% 120.89/15.58 (![T_a,V_x]: (( ~ class_RealVector_Oreal__normed__algebra(T_a)| c_HOL_Otimes__class_Otimes(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ))),
% 120.89/15.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.58 fof(f3,axiom,(
% 120.89/15.58 (![T_a,V_b]: (( ~ class_RealVector_Oreal__normed__algebra(T_a)| c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ))),
% 120.89/15.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.58 fof(f15,axiom,(
% 120.89/15.58 (![T_a,V_a]: (( ~ class_OrderedGroup_Ogroup__add(T_a)| c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)| V_a = c_HOL_Ozero__class_Ozero(T_a) ) ))),
% 120.89/15.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.58 fof(f24,axiom,(
% 120.89/15.58 (![T_a,V_a]: (( ~ class_RealVector_Oreal__normed__vector(T_a)| c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ))),
% 120.89/15.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.58 fof(f72,axiom,(
% 120.89/15.58 (![T_a]: (( ~ class_OrderedGroup_Ogroup__add(T_a)| c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) ) ))),
% 120.89/15.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.58 fof(f81,axiom,(
% 120.89/15.58 (![T_a,V_a]: (( ~ class_OrderedGroup_Ogroup__add(T_a)| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a ) ))),
% 120.89/15.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.58 fof(f98,axiom,(
% 120.89/15.58 (![V_x,V_y]: (c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(V_x,V_y,tc_RealDef_Oreal)) = c_HOL_Otimes__class_Otimes(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ))),
% 120.89/15.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.58 fof(f118,axiom,(
% 120.89/15.58 (![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) ))),
% 120.89/15.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.58 fof(f153,axiom,(
% 120.89/15.58 (![V_x,V_y]: (( c_NthRoot_Osqrt(V_x) != c_NthRoot_Osqrt(V_y)| V_x = V_y ) ))),
% 120.89/15.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.58 fof(f189,axiom,(
% 120.89/15.58 (![V_c,V_a,V_b]: (( c_HOL_Otimes__class_Otimes(V_c,V_a,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(V_c,V_b,tc_RealDef_Oreal)| V_c = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)| V_a = V_b ) ))),
% 120.89/15.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.58 fof(f191,axiom,(
% 120.89/15.58 c_Transcendental_Opi != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 120.89/15.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.58 fof(f192,axiom,(
% 120.89/15.58 c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 120.89/15.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.58 fof(f196,axiom,(
% 120.89/15.58 (![V_x]: (( c_Transcendental_Oexp(c_Transcendental_Oln(V_x),tc_RealDef_Oreal) = V_x| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ))),
% 120.89/15.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.58 fof(f273,axiom,(
% 120.89/15.58 (![V_z1,V_z2,V_z3]: (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_z1,V_z2,tc_RealDef_Oreal),V_z3,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(V_z1,c_HOL_Otimes__class_Otimes(V_z2,V_z3,tc_RealDef_Oreal),tc_RealDef_Oreal) ))),
% 120.89/15.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.58 fof(f307,axiom,(
% 120.89/15.58 (![V_y]: (c_Transcendental_Oln(c_Transcendental_Oexp(V_y,tc_RealDef_Oreal)) = V_y ))),
% 120.89/15.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.58 fof(f324,axiom,(
% 120.89/15.58 (![T_a,V_a]: (( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)| c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) = c_HOL_Oabs__class_Oabs(V_a,T_a) ) ))),
% 120.89/15.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.58 fof(f339,axiom,(
% 120.89/15.58 (![V_x]: (c_HOL_Oabs__class_Oabs(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Oexp(V_x,tc_RealDef_Oreal) ))),
% 120.89/15.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.58 fof(f352,axiom,(
% 120.89/15.58 (![V_x]: (c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal)) = c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal) ))),
% 120.89/15.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.60 fof(f400,axiom,(
% 120.89/15.60 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal) ),
% 120.89/15.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.60 fof(f402,axiom,(
% 120.89/15.60 (![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) ) ))),
% 120.89/15.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.60 fof(f404,axiom,(
% 120.89/15.60 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1,tc_RealDef_Oreal) ),
% 120.89/15.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.60 fof(f408,axiom,(
% 120.89/15.60 (![V_m]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal__of__preal(V_m),tc_RealDef_Oreal) ))),
% 120.89/15.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.60 fof(f412,axiom,(
% 120.89/15.60 (![V_d1,V_d2]: (( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(V_d1,V_d2),tc_RealDef_Oreal)| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_d2,tc_RealDef_Oreal)| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_d1,tc_RealDef_Oreal) ) ))),
% 120.89/15.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.60 fof(f431,axiom,(
% 120.89/15.60 (![V_x,V_y]: (( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ))),
% 120.89/15.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.60 fof(f432,axiom,(
% 120.89/15.60 (![V_d1,V_d2]: (( c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(V_d1,V_d2),V_d2,tc_RealDef_Oreal)| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_d2,tc_RealDef_Oreal)| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_d1,tc_RealDef_Oreal) ) ))),
% 120.89/15.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.60 fof(f433,axiom,(
% 120.89/15.60 (![V_d1,V_d2]: (( c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(V_d1,V_d2),V_d1,tc_RealDef_Oreal)| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_d2,tc_RealDef_Oreal)| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_d1,tc_RealDef_Oreal) ) ))),
% 120.89/15.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.60 fof(f439,axiom,(
% 120.89/15.60 ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 120.89/15.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.60 fof(f442,axiom,(
% 120.89/15.60 (![V_z,V_x,V_y]: (( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_z,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_z,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)| ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ))),
% 120.89/15.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.60 fof(f443,axiom,(
% 120.89/15.60 (![V_x,V_z,V_y]: (( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_x,V_z,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_z,tc_RealDef_Oreal),tc_RealDef_Oreal)| ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ))),
% 120.89/15.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.60 fof(f449,axiom,(
% 120.89/15.60 (![T_a,V_a,V_b]: (( ~ class_Orderings_Oorder(T_a)| ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)| ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ))),
% 120.89/15.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.60 fof(f454,axiom,(
% 120.89/15.60 (![V_x]: (~ c_HOL_Oord__class_Oless(V_x,V_x,tc_RealDef_Oreal) ))),
% 120.89/15.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.60 fof(f464,negated_conjecture,(
% 120.89/15.60 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_d1,tc_RealDef_Oreal) ),
% 120.89/15.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.60 fof(f465,negated_conjecture,(
% 120.89/15.60 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_d2,tc_RealDef_Oreal) ),
% 120.89/15.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.60 fof(f466,negated_conjecture,(
% 120.89/15.60 (![V_x]: (( ~ c_HOL_Oord__class_Oless(V_x,v_d2,tc_RealDef_Oreal)| ~ c_HOL_Oord__class_Oless(V_x,v_d1,tc_RealDef_Oreal)| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ))),
% 120.89/15.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.60 fof(f474,axiom,(
% 120.89/15.60 class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 120.89/15.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.60 fof(f482,axiom,(
% 120.89/15.60 class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 120.89/15.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.60 fof(f483,axiom,(
% 120.89/15.60 class_Ring__and__Field_Omult__zero(tc_nat) ),
% 120.89/15.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.60 fof(f487,axiom,(
% 120.89/15.60 class_Nat_Osemiring__char__0(tc_nat) ),
% 120.89/15.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.60 fof(f491,axiom,(
% 120.89/15.60 class_Power_Opower(tc_nat) ),
% 120.89/15.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.60 fof(f497,axiom,(
% 120.89/15.60 class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 120.89/15.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.60 fof(f509,axiom,(
% 120.89/15.60 class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ),
% 120.89/15.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.60 fof(f510,axiom,(
% 120.89/15.60 class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ),
% 120.89/15.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.60 fof(f513,axiom,(
% 120.89/15.60 class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ),
% 120.89/15.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.60 fof(f515,axiom,(
% 120.89/15.60 class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ),
% 120.89/15.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.60 fof(f519,axiom,(
% 120.89/15.60 class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal) ),
% 120.89/15.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.60 fof(f521,axiom,(
% 120.89/15.60 class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ),
% 120.89/15.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.60 fof(f523,axiom,(
% 120.89/15.60 class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ),
% 120.89/15.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.60 fof(f525,axiom,(
% 120.89/15.60 class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal) ),
% 120.89/15.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.60 fof(f527,axiom,(
% 120.89/15.60 class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ),
% 120.89/15.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.60 fof(f531,axiom,(
% 120.89/15.60 class_RealVector_Ometric__space(tc_RealDef_Oreal) ),
% 120.89/15.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.60 fof(f533,axiom,(
% 120.89/15.60 class_RealVector_Oreal__vector(tc_RealDef_Oreal) ),
% 120.89/15.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.60 fof(f534,axiom,(
% 120.89/15.60 class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ),
% 120.89/15.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.60 fof(f539,axiom,(
% 120.89/15.60 class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ),
% 120.89/15.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.60 fof(f542,axiom,(
% 120.89/15.60 class_Orderings_Olinorder(tc_RealDef_Oreal) ),
% 120.89/15.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.60 fof(f543,axiom,(
% 120.89/15.60 class_Orderings_Oorder(tc_RealDef_Oreal) ),
% 120.89/15.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.60 fof(f545,axiom,(
% 120.89/15.60 class_Power_Opower(tc_RealDef_Oreal) ),
% 120.89/15.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.89/15.60 fof(f547,plain,(
% 120.89/15.60 ![T_a]: (~class_RealVector_Oreal__normed__algebra(T_a)|(![V_x]: c_HOL_Otimes__class_Otimes(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a)))),
% 120.89/15.60 inference(miniscoping,[status(esa)],[f1])).
% 120.89/15.60 fof(f548,plain,(
% 120.89/15.60 ![X0,X1]: (~class_RealVector_Oreal__normed__algebra(X0)|c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0)=c_HOL_Ozero__class_Ozero(X0))),
% 120.89/15.60 inference(cnf_transformation,[status(esa)],[f547])).
% 120.89/15.60 fof(f551,plain,(
% 120.89/15.60 ![T_a]: (~class_RealVector_Oreal__normed__algebra(T_a)|(![V_b]: c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)=c_HOL_Ozero__class_Ozero(T_a)))),
% 120.89/15.60 inference(miniscoping,[status(esa)],[f3])).
% 120.89/15.60 fof(f552,plain,(
% 120.89/15.60 ![X0,X1]: (~class_RealVector_Oreal__normed__algebra(X0)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0)=c_HOL_Ozero__class_Ozero(X0))),
% 120.89/15.60 inference(cnf_transformation,[status(esa)],[f551])).
% 120.89/15.60 fof(f570,plain,(
% 120.89/15.60 ![X0,X1]: (~class_OrderedGroup_Ogroup__add(X0)|~c_HOL_Ouminus__class_Ouminus(X1,X0)=c_HOL_Ozero__class_Ozero(X0)|X1=c_HOL_Ozero__class_Ozero(X0))),
% 120.89/15.60 inference(cnf_transformation,[status(esa)],[f15])).
% 120.89/15.60 fof(f583,plain,(
% 120.89/15.60 ![T_a]: (~class_RealVector_Oreal__normed__vector(T_a)|(![V_a]: c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a)))),
% 120.89/15.60 inference(miniscoping,[status(esa)],[f24])).
% 120.89/15.60 fof(f584,plain,(
% 120.89/15.60 ![X0,X1]: (~class_RealVector_Oreal__normed__vector(X0)|c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X0),X0)=c_HOL_Ozero__class_Ozero(X0))),
% 120.89/15.60 inference(cnf_transformation,[status(esa)],[f583])).
% 120.89/15.60 fof(f661,plain,(
% 120.89/15.60 ![X0]: (~class_OrderedGroup_Ogroup__add(X0)|c_HOL_Ozero__class_Ozero(X0)=c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0))),
% 120.89/15.60 inference(cnf_transformation,[status(esa)],[f72])).
% 120.89/15.60 fof(f673,plain,(
% 120.89/15.60 ![T_a]: (~class_OrderedGroup_Ogroup__add(T_a)|(![V_a]: c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)=V_a))),
% 120.89/15.60 inference(miniscoping,[status(esa)],[f81])).
% 120.89/15.60 fof(f674,plain,(
% 120.89/15.60 ![X0,X1]: (~class_OrderedGroup_Ogroup__add(X0)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0)=X1)),
% 120.89/15.60 inference(cnf_transformation,[status(esa)],[f673])).
% 120.89/15.60 fof(f707,plain,(
% 120.89/15.60 ![X0,X1]: (c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal))=c_HOL_Otimes__class_Otimes(c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal))),
% 120.89/15.60 inference(cnf_transformation,[status(esa)],[f98])).
% 120.89/15.60 fof(f746,plain,(
% 120.89/15.60 ![X0,X1]: (c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal))),
% 120.89/15.61 inference(cnf_transformation,[status(esa)],[f118])).
% 120.89/15.61 fof(f812,plain,(
% 120.89/15.61 ![X0,X1]: (~c_NthRoot_Osqrt(X0)=c_NthRoot_Osqrt(X1)|X0=X1)),
% 120.89/15.61 inference(cnf_transformation,[status(esa)],[f153])).
% 120.89/15.61 fof(f870,plain,(
% 120.89/15.61 ![V_a,V_b]: ((![V_c]: (~c_HOL_Otimes__class_Otimes(V_c,V_a,tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(V_c,V_b,tc_RealDef_Oreal)|V_c=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)))|V_a=V_b)),
% 120.89/15.61 inference(miniscoping,[status(esa)],[f189])).
% 120.89/15.61 fof(f871,plain,(
% 120.89/15.61 ![X0,X1,X2]: (~c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal)|X0=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|X1=X2)),
% 120.89/15.61 inference(cnf_transformation,[status(esa)],[f870])).
% 120.89/15.61 fof(f873,plain,(
% 120.89/15.61 ~c_Transcendental_Opi=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 120.89/15.61 inference(cnf_transformation,[status(esa)],[f191])).
% 120.89/15.61 fof(f874,plain,(
% 120.89/15.61 c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 120.89/15.61 inference(cnf_transformation,[status(esa)],[f192])).
% 120.89/15.61 fof(f880,plain,(
% 120.89/15.61 ![X0]: (c_Transcendental_Oexp(c_Transcendental_Oln(X0),tc_RealDef_Oreal)=X0|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal))),
% 120.89/15.61 inference(cnf_transformation,[status(esa)],[f196])).
% 120.89/15.61 fof(f994,plain,(
% 120.89/15.61 ![X0,X1,X2]: (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 120.89/15.61 inference(cnf_transformation,[status(esa)],[f273])).
% 120.89/15.61 fof(f1061,plain,(
% 120.89/15.61 ![X0]: (c_Transcendental_Oln(c_Transcendental_Oexp(X0,tc_RealDef_Oreal))=X0)),
% 120.89/15.61 inference(cnf_transformation,[status(esa)],[f307])).
% 120.89/15.61 fof(f1091,plain,(
% 120.89/15.61 ![T_a]: (~class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|(![V_a]: c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(V_a,T_a),T_a)=c_HOL_Oabs__class_Oabs(V_a,T_a)))),
% 120.89/15.61 inference(miniscoping,[status(esa)],[f324])).
% 120.89/15.61 fof(f1092,plain,(
% 120.89/15.61 ![X0,X1]: (~class_OrderedGroup_Opordered__ab__group__add__abs(X0)|c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X1,X0),X0)=c_HOL_Oabs__class_Oabs(X1,X0))),
% 120.89/15.61 inference(cnf_transformation,[status(esa)],[f1091])).
% 120.89/15.61 fof(f1119,plain,(
% 120.89/15.61 ![X0]: (c_HOL_Oabs__class_Oabs(c_Transcendental_Oexp(X0,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_Transcendental_Oexp(X0,tc_RealDef_Oreal))),
% 120.89/15.61 inference(cnf_transformation,[status(esa)],[f339])).
% 120.89/15.61 fof(f1143,plain,(
% 120.89/15.61 ![X0]: (c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal))=c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal))),
% 120.89/15.61 inference(cnf_transformation,[status(esa)],[f352])).
% 120.89/15.61 fof(f1222,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal)),
% 120.89/15.61 inference(cnf_transformation,[status(esa)],[f400])).
% 120.89/15.61 fof(f1224,plain,(
% 120.89/15.61 ![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))),
% 120.89/15.61 inference(cnf_transformation,[status(esa)],[f402])).
% 120.89/15.61 fof(f1227,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1,tc_RealDef_Oreal)),
% 120.89/15.61 inference(cnf_transformation,[status(esa)],[f404])).
% 120.89/15.61 fof(f1233,plain,(
% 120.89/15.61 ![X0]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal__of__preal(X0),tc_RealDef_Oreal))),
% 120.89/15.61 inference(cnf_transformation,[status(esa)],[f408])).
% 120.89/15.61 fof(f1238,plain,(
% 120.89/15.61 ![V_d1]: ((![V_d2]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(V_d1,V_d2),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_d2,tc_RealDef_Oreal)))|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_d1,tc_RealDef_Oreal))),
% 120.89/15.61 inference(miniscoping,[status(esa)],[f412])).
% 120.89/15.61 fof(f1239,plain,(
% 120.89/15.61 ![X0,X1]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X0,X1),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),X0,tc_RealDef_Oreal))),
% 120.89/15.61 inference(cnf_transformation,[status(esa)],[f1238])).
% 120.89/15.61 fof(f1268,plain,(
% 120.89/15.61 ![V_x]: ((![V_y]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)))|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal))),
% 120.89/15.61 inference(miniscoping,[status(esa)],[f431])).
% 120.89/15.61 fof(f1269,plain,(
% 120.89/15.61 ![X0,X1]: (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)|~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),X0,tc_RealDef_Oreal))),
% 120.89/15.61 inference(cnf_transformation,[status(esa)],[f1268])).
% 120.89/15.61 fof(f1270,plain,(
% 120.89/15.61 ![V_d1]: ((![V_d2]: (c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(V_d1,V_d2),V_d2,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_d2,tc_RealDef_Oreal)))|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_d1,tc_RealDef_Oreal))),
% 120.89/15.61 inference(miniscoping,[status(esa)],[f432])).
% 120.89/15.61 fof(f1271,plain,(
% 120.89/15.61 ![X0,X1]: (c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X0,X1),X1,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),X0,tc_RealDef_Oreal))),
% 120.89/15.61 inference(cnf_transformation,[status(esa)],[f1270])).
% 120.89/15.61 fof(f1272,plain,(
% 120.89/15.61 ![V_d1]: ((![V_d2]: (c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(V_d1,V_d2),V_d1,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_d2,tc_RealDef_Oreal)))|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_d1,tc_RealDef_Oreal))),
% 120.89/15.61 inference(miniscoping,[status(esa)],[f433])).
% 120.89/15.61 fof(f1273,plain,(
% 120.89/15.61 ![X0,X1]: (c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X0,X1),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),X0,tc_RealDef_Oreal))),
% 120.89/15.61 inference(cnf_transformation,[status(esa)],[f1272])).
% 120.89/15.61 fof(f1281,plain,(
% 120.89/15.61 ~c_HOL_Oord__class_Oless(c_Transcendental_Opi,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 120.89/15.61 inference(cnf_transformation,[status(esa)],[f439])).
% 120.89/15.61 fof(f1285,plain,(
% 120.89/15.61 ![V_z]: ((![V_x,V_y]: (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_z,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_z,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)))|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal))),
% 120.89/15.61 inference(miniscoping,[status(esa)],[f442])).
% 120.89/15.61 fof(f1286,plain,(
% 120.89/15.61 ![X0,X1,X2]: (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal))),
% 120.89/15.61 inference(cnf_transformation,[status(esa)],[f1285])).
% 120.89/15.61 fof(f1287,plain,(
% 120.89/15.61 ![V_z]: ((![V_x,V_y]: (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_x,V_z,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_z,tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)))|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal))),
% 120.89/15.61 inference(miniscoping,[status(esa)],[f443])).
% 120.89/15.61 fof(f1288,plain,(
% 120.89/15.61 ![X0,X1,X2]: (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X0,X2,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal))),
% 120.89/15.61 inference(cnf_transformation,[status(esa)],[f1287])).
% 120.89/15.61 fof(f1296,plain,(
% 120.89/15.61 ![X0,X1,X2]: (~class_Orderings_Oorder(X0)|~c_HOL_Oord__class_Oless(X1,X2,X0)|~c_HOL_Oord__class_Oless(X2,X1,X0))),
% 120.89/15.61 inference(cnf_transformation,[status(esa)],[f449])).
% 120.89/15.61 fof(f1302,plain,(
% 120.89/15.61 ![X0]: (~c_HOL_Oord__class_Oless(X0,X0,tc_RealDef_Oreal))),
% 120.89/15.61 inference(cnf_transformation,[status(esa)],[f454])).
% 120.89/15.61 fof(f1318,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_d1,tc_RealDef_Oreal)),
% 120.89/15.61 inference(cnf_transformation,[status(esa)],[f464])).
% 120.89/15.61 fof(f1319,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_d2,tc_RealDef_Oreal)),
% 120.89/15.61 inference(cnf_transformation,[status(esa)],[f465])).
% 120.89/15.61 fof(f1320,plain,(
% 120.89/15.61 ![X0]: (~c_HOL_Oord__class_Oless(X0,v_d2,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X0,v_d1,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal))),
% 120.89/15.61 inference(cnf_transformation,[status(esa)],[f466])).
% 120.89/15.61 fof(f1328,plain,(
% 120.89/15.61 class_Ring__and__Field_Ono__zero__divisors(tc_nat)),
% 120.89/15.61 inference(cnf_transformation,[status(esa)],[f474])).
% 120.89/15.61 fof(f1336,plain,(
% 120.89/15.61 class_Ring__and__Field_Ozero__neq__one(tc_nat)),
% 120.89/15.61 inference(cnf_transformation,[status(esa)],[f482])).
% 120.89/15.61 fof(f1337,plain,(
% 120.89/15.61 class_Ring__and__Field_Omult__zero(tc_nat)),
% 120.89/15.61 inference(cnf_transformation,[status(esa)],[f483])).
% 120.89/15.61 fof(f1341,plain,(
% 120.89/15.61 class_Nat_Osemiring__char__0(tc_nat)),
% 120.89/15.61 inference(cnf_transformation,[status(esa)],[f487])).
% 120.89/15.61 fof(f1345,plain,(
% 120.89/15.61 class_Power_Opower(tc_nat)),
% 120.89/15.61 inference(cnf_transformation,[status(esa)],[f491])).
% 120.89/15.61 fof(f1351,plain,(
% 120.89/15.61 class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal)),
% 120.89/15.61 inference(cnf_transformation,[status(esa)],[f497])).
% 120.89/15.61 fof(f1363,plain,(
% 120.89/15.61 class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal)),
% 120.89/15.61 inference(cnf_transformation,[status(esa)],[f509])).
% 120.89/15.61 fof(f1364,plain,(
% 120.89/15.61 class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)),
% 120.89/15.61 inference(cnf_transformation,[status(esa)],[f510])).
% 120.89/15.61 fof(f1367,plain,(
% 120.89/15.61 class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal)),
% 120.89/15.61 inference(cnf_transformation,[status(esa)],[f513])).
% 120.89/15.61 fof(f1369,plain,(
% 120.89/15.61 class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal)),
% 120.89/15.61 inference(cnf_transformation,[status(esa)],[f515])).
% 120.89/15.61 fof(f1373,plain,(
% 120.89/15.61 class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal)),
% 120.89/15.61 inference(cnf_transformation,[status(esa)],[f519])).
% 120.89/15.61 fof(f1375,plain,(
% 120.89/15.61 class_RealVector_Oreal__normed__field(tc_RealDef_Oreal)),
% 120.89/15.61 inference(cnf_transformation,[status(esa)],[f521])).
% 120.89/15.61 fof(f1377,plain,(
% 120.89/15.61 class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal)),
% 120.89/15.61 inference(cnf_transformation,[status(esa)],[f523])).
% 120.89/15.61 fof(f1379,plain,(
% 120.89/15.61 class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal)),
% 120.89/15.61 inference(cnf_transformation,[status(esa)],[f525])).
% 120.89/15.61 fof(f1381,plain,(
% 120.89/15.61 class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal)),
% 120.89/15.61 inference(cnf_transformation,[status(esa)],[f527])).
% 120.89/15.61 fof(f1385,plain,(
% 120.89/15.61 class_RealVector_Ometric__space(tc_RealDef_Oreal)),
% 120.89/15.61 inference(cnf_transformation,[status(esa)],[f531])).
% 120.89/15.61 fof(f1387,plain,(
% 120.89/15.61 class_RealVector_Oreal__vector(tc_RealDef_Oreal)),
% 120.89/15.61 inference(cnf_transformation,[status(esa)],[f533])).
% 120.89/15.61 fof(f1388,plain,(
% 120.89/15.61 class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal)),
% 120.89/15.61 inference(cnf_transformation,[status(esa)],[f534])).
% 120.89/15.61 fof(f1393,plain,(
% 120.89/15.61 class_Ring__and__Field_Oidom(tc_RealDef_Oreal)),
% 120.89/15.61 inference(cnf_transformation,[status(esa)],[f539])).
% 120.89/15.61 fof(f1396,plain,(
% 120.89/15.61 class_Orderings_Olinorder(tc_RealDef_Oreal)),
% 120.89/15.61 inference(cnf_transformation,[status(esa)],[f542])).
% 120.89/15.61 fof(f1397,plain,(
% 120.89/15.61 class_Orderings_Oorder(tc_RealDef_Oreal)),
% 120.89/15.61 inference(cnf_transformation,[status(esa)],[f543])).
% 120.89/15.61 fof(f1399,plain,(
% 120.89/15.61 class_Power_Opower(tc_RealDef_Oreal)),
% 120.89/15.61 inference(cnf_transformation,[status(esa)],[f545])).
% 120.89/15.61 fof(f1401,plain,(
% 120.89/15.61 spl0_0 <=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_d1,tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f1403,plain,(
% 120.89/15.61 ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_d1,tc_RealDef_Oreal)|spl0_0),
% 120.89/15.61 inference(component_clause,[status(thm)],[f1401])).
% 120.89/15.61 fof(f1409,plain,(
% 120.89/15.61 $false|spl0_0),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f1403,f1318])).
% 120.89/15.61 fof(f1410,plain,(
% 120.89/15.61 spl0_0),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f1409])).
% 120.89/15.61 fof(f1447,plain,(
% 120.89/15.61 ![X0,X1,X2]: (c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 120.89/15.61 inference(paramodulation,[status(thm)],[f746,f994])).
% 120.89/15.61 fof(f1452,plain,(
% 120.89/15.61 ![X0,X1,X2]: (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 120.89/15.61 inference(paramodulation,[status(thm)],[f746,f994])).
% 120.89/15.61 fof(f1453,plain,(
% 120.89/15.61 ![X0,X1,X2]: (c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f994,f1452])).
% 120.89/15.61 fof(f1476,plain,(
% 120.89/15.61 ![X0]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,v_d2,tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal))),
% 120.89/15.61 inference(resolution,[status(thm)],[f1269,f1319])).
% 120.89/15.61 fof(f1477,plain,(
% 120.89/15.61 ![X0]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,v_d1,tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal))),
% 120.89/15.61 inference(resolution,[status(thm)],[f1269,f1318])).
% 120.89/15.61 fof(f1480,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_d2,v_d2,tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 120.89/15.61 inference(resolution,[status(thm)],[f1476,f1319])).
% 120.89/15.61 fof(f1481,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_d1,v_d2,tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 120.89/15.61 inference(resolution,[status(thm)],[f1476,f1318])).
% 120.89/15.61 fof(f1486,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_d1,v_d1,tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 120.89/15.61 inference(resolution,[status(thm)],[f1477,f1318])).
% 120.89/15.61 fof(f1777,plain,(
% 120.89/15.61 ![X0,X1,X2]: (c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 120.89/15.61 inference(paramodulation,[status(thm)],[f1447,f1453])).
% 120.89/15.61 fof(f2000,plain,(
% 120.89/15.61 spl0_4 <=> c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f2001,plain,(
% 120.89/15.61 ![X0]: (c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_4)),
% 120.89/15.61 inference(component_clause,[status(thm)],[f2000])).
% 120.89/15.61 fof(f2201,plain,(
% 120.89/15.61 spl0_6 <=> ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f2202,plain,(
% 120.89/15.61 ![X0]: (~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|~spl0_6)),
% 120.89/15.61 inference(component_clause,[status(thm)],[f2201])).
% 120.89/15.61 fof(f2257,plain,(
% 120.89/15.61 spl0_8 <=> ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f2258,plain,(
% 120.89/15.61 ![X0]: (~c_HOL_Oord__class_Oless(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),X0,tc_RealDef_Oreal)|~spl0_8)),
% 120.89/15.61 inference(component_clause,[status(thm)],[f2257])).
% 120.89/15.61 fof(f2450,plain,(
% 120.89/15.61 ![X0,X1]: (~c_HOL_Otimes__class_Otimes(c_Transcendental_Opi,X0,tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(c_Transcendental_Opi,X1,tc_RealDef_Oreal)|X0=X1)),
% 120.89/15.61 inference(resolution,[status(thm)],[f873,f871])).
% 120.89/15.61 fof(f2455,plain,(
% 120.89/15.61 ![X0]: (c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 120.89/15.61 inference(resolution,[status(thm)],[f548,f1367])).
% 120.89/15.61 fof(f2456,plain,(
% 120.89/15.61 ![X0]: (c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 120.89/15.61 inference(resolution,[status(thm)],[f552,f1367])).
% 120.89/15.61 fof(f3435,plain,(
% 120.89/15.61 ![X0]: (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_d2,X0,tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal))),
% 120.89/15.61 inference(resolution,[status(thm)],[f1288,f1319])).
% 120.89/15.61 fof(f3567,plain,(
% 120.89/15.61 spl0_15 <=> c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(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),tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f3569,plain,(
% 120.89/15.61 ~c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(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),tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_15),
% 120.89/15.61 inference(component_clause,[status(thm)],[f3567])).
% 120.89/15.61 fof(f3572,plain,(
% 120.89/15.61 spl0_16 <=> c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(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),tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f3574,plain,(
% 120.89/15.61 ~c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(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),tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_16),
% 120.89/15.61 inference(component_clause,[status(thm)],[f3572])).
% 120.89/15.61 fof(f3597,plain,(
% 120.89/15.61 spl0_21 <=> v_d2=v_d2),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f3599,plain,(
% 120.89/15.61 ~v_d2=v_d2|spl0_21),
% 120.89/15.61 inference(component_clause,[status(thm)],[f3597])).
% 120.89/15.61 fof(f3603,plain,(
% 120.89/15.61 spl0_23 <=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_d2,tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f3605,plain,(
% 120.89/15.61 ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_d2,tc_RealDef_Oreal)|spl0_23),
% 120.89/15.61 inference(component_clause,[status(thm)],[f3603])).
% 120.89/15.61 fof(f3623,plain,(
% 120.89/15.61 ~c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(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),tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_15),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f746,f3569])).
% 120.89/15.61 fof(f3624,plain,(
% 120.89/15.61 $false|spl0_23),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f3605,f1319])).
% 120.89/15.61 fof(f3625,plain,(
% 120.89/15.61 spl0_23),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f3624])).
% 120.89/15.61 fof(f3684,plain,(
% 120.89/15.61 spl0_27 <=> c_Transcendental_Opi=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f3685,plain,(
% 120.89/15.61 c_Transcendental_Opi=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_27),
% 120.89/15.61 inference(component_clause,[status(thm)],[f3684])).
% 120.89/15.61 fof(f3691,plain,(
% 120.89/15.61 $false|~spl0_27),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f3685,f873])).
% 120.89/15.61 fof(f3692,plain,(
% 120.89/15.61 ~spl0_27),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f3691])).
% 120.89/15.61 fof(f3710,plain,(
% 120.89/15.61 ![X0]: (c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),tc_RealDef_Oreal)=X0)),
% 120.89/15.61 inference(resolution,[status(thm)],[f674,f1388])).
% 120.89/15.61 fof(f3712,plain,(
% 120.89/15.61 spl0_28 <=> class_Ring__and__Field_Ozero__neq__one(tc_nat)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f3714,plain,(
% 120.89/15.61 ~class_Ring__and__Field_Ozero__neq__one(tc_nat)|spl0_28),
% 120.89/15.61 inference(component_clause,[status(thm)],[f3712])).
% 120.89/15.61 fof(f3715,plain,(
% 120.89/15.61 spl0_29 <=> class_Ring__and__Field_Omult__zero(tc_nat)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f3717,plain,(
% 120.89/15.61 ~class_Ring__and__Field_Omult__zero(tc_nat)|spl0_29),
% 120.89/15.61 inference(component_clause,[status(thm)],[f3715])).
% 120.89/15.61 fof(f3718,plain,(
% 120.89/15.61 spl0_30 <=> class_Power_Opower(tc_nat)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f3720,plain,(
% 120.89/15.61 ~class_Power_Opower(tc_nat)|spl0_30),
% 120.89/15.61 inference(component_clause,[status(thm)],[f3718])).
% 120.89/15.61 fof(f3726,plain,(
% 120.89/15.61 spl0_32 <=> class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f3728,plain,(
% 120.89/15.61 ~class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal)|spl0_32),
% 120.89/15.61 inference(component_clause,[status(thm)],[f3726])).
% 120.89/15.61 fof(f3729,plain,(
% 120.89/15.61 spl0_33 <=> class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f3731,plain,(
% 120.89/15.61 ~class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal)|spl0_33),
% 120.89/15.61 inference(component_clause,[status(thm)],[f3729])).
% 120.89/15.61 fof(f3732,plain,(
% 120.89/15.61 spl0_34 <=> class_Power_Opower(tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f3734,plain,(
% 120.89/15.61 ~class_Power_Opower(tc_RealDef_Oreal)|spl0_34),
% 120.89/15.61 inference(component_clause,[status(thm)],[f3732])).
% 120.89/15.61 fof(f3740,plain,(
% 120.89/15.61 spl0_36 <=> class_Ring__and__Field_Ono__zero__divisors(tc_nat)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f3742,plain,(
% 120.89/15.61 ~class_Ring__and__Field_Ono__zero__divisors(tc_nat)|spl0_36),
% 120.89/15.61 inference(component_clause,[status(thm)],[f3740])).
% 120.89/15.61 fof(f3745,plain,(
% 120.89/15.61 spl0_37 <=> class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f3747,plain,(
% 120.89/15.61 ~class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal)|spl0_37),
% 120.89/15.61 inference(component_clause,[status(thm)],[f3745])).
% 120.89/15.61 fof(f3754,plain,(
% 120.89/15.61 $false|spl0_33),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f3731,f1381])).
% 120.89/15.61 fof(f3755,plain,(
% 120.89/15.61 spl0_33),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f3754])).
% 120.89/15.61 fof(f3756,plain,(
% 120.89/15.61 $false|spl0_37),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f3747,f1363])).
% 120.89/15.61 fof(f3757,plain,(
% 120.89/15.61 spl0_37),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f3756])).
% 120.89/15.61 fof(f3758,plain,(
% 120.89/15.61 $false|spl0_29),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f3717,f1337])).
% 120.89/15.61 fof(f3759,plain,(
% 120.89/15.61 spl0_29),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f3758])).
% 120.89/15.61 fof(f3760,plain,(
% 120.89/15.61 $false|spl0_36),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f3742,f1328])).
% 120.89/15.61 fof(f3761,plain,(
% 120.89/15.61 spl0_36),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f3760])).
% 120.89/15.61 fof(f3762,plain,(
% 120.89/15.61 $false|spl0_34),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f3734,f1399])).
% 120.89/15.61 fof(f3763,plain,(
% 120.89/15.61 spl0_34),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f3762])).
% 120.89/15.61 fof(f3764,plain,(
% 120.89/15.61 $false|spl0_30),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f3720,f1345])).
% 120.89/15.61 fof(f3765,plain,(
% 120.89/15.61 spl0_30),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f3764])).
% 120.89/15.61 fof(f3766,plain,(
% 120.89/15.61 $false|spl0_32),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f3728,f1377])).
% 120.89/15.61 fof(f3767,plain,(
% 120.89/15.61 spl0_32),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f3766])).
% 120.89/15.61 fof(f3768,plain,(
% 120.89/15.61 $false|spl0_28),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f3714,f1336])).
% 120.89/15.61 fof(f3769,plain,(
% 120.89/15.61 spl0_28),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f3768])).
% 120.89/15.61 fof(f3770,plain,(
% 120.89/15.61 ![X0]: (~c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|X0=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 120.89/15.61 inference(resolution,[status(thm)],[f570,f1388])).
% 120.89/15.61 fof(f3775,plain,(
% 120.89/15.61 spl0_38 <=> class_Ring__and__Field_Oidom(tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f3777,plain,(
% 120.89/15.61 ~class_Ring__and__Field_Oidom(tc_RealDef_Oreal)|spl0_38),
% 120.89/15.61 inference(component_clause,[status(thm)],[f3775])).
% 120.89/15.61 fof(f3783,plain,(
% 120.89/15.61 $false|spl0_38),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f3777,f1393])).
% 120.89/15.61 fof(f3784,plain,(
% 120.89/15.61 spl0_38),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f3783])).
% 120.89/15.61 fof(f3787,plain,(
% 120.89/15.61 ![X0]: (c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 120.89/15.61 inference(resolution,[status(thm)],[f584,f1369])).
% 120.89/15.61 fof(f3789,plain,(
% 120.89/15.61 spl0_40 <=> v_d1=v_d1),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f3791,plain,(
% 120.89/15.61 ~v_d1=v_d1|spl0_40),
% 120.89/15.61 inference(component_clause,[status(thm)],[f3789])).
% 120.89/15.61 fof(f3830,plain,(
% 120.89/15.61 ![X0]: (~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|~spl0_8)),
% 120.89/15.61 inference(duplicate_literals_removal,[status(esa)],[f2258])).
% 120.89/15.61 fof(f3957,plain,(
% 120.89/15.61 spl0_41 <=> c_HOL_Oord__class_Oless(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(v_d1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f3958,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(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(v_d1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_41),
% 120.89/15.61 inference(component_clause,[status(thm)],[f3957])).
% 120.89/15.61 fof(f3977,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_d2,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 120.89/15.61 inference(resolution,[status(thm)],[f3435,f1222])).
% 120.89/15.61 fof(f3978,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Transcendental_Opi,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_d2,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f746,f3977])).
% 120.89/15.61 fof(f3979,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Transcendental_Opi,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Opi,v_d2,tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f746,f3978])).
% 120.89/15.61 fof(f4028,plain,(
% 120.89/15.61 spl0_42 <=> c_HOL_Oord__class_Oless(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(v_d2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f4029,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(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(v_d2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_42),
% 120.89/15.61 inference(component_clause,[status(thm)],[f4028])).
% 120.89/15.61 fof(f4481,plain,(
% 120.89/15.61 $false|~spl0_8),
% 120.89/15.61 inference(backward_subsumption_resolution,[status(thm)],[f1319,f3830])).
% 120.89/15.61 fof(f4482,plain,(
% 120.89/15.61 ~spl0_8),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f4481])).
% 120.89/15.61 fof(f4537,plain,(
% 120.89/15.61 $false|~spl0_6),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f1319,f2202])).
% 120.89/15.61 fof(f4538,plain,(
% 120.89/15.61 ~spl0_6),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f4537])).
% 120.89/15.61 fof(f4550,plain,(
% 120.89/15.61 spl0_44 <=> c_Transcendental_Opi=c_Transcendental_Opi),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f4552,plain,(
% 120.89/15.61 ~c_Transcendental_Opi=c_Transcendental_Opi|spl0_44),
% 120.89/15.61 inference(component_clause,[status(thm)],[f4550])).
% 120.89/15.61 fof(f4574,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_4),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f2001,f1480])).
% 120.89/15.61 fof(f4575,plain,(
% 120.89/15.61 $false|~spl0_4),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f4574,f1302])).
% 120.89/15.61 fof(f4576,plain,(
% 120.89/15.61 ~spl0_4),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f4575])).
% 120.89/15.61 fof(f4745,plain,(
% 120.89/15.61 ![X0,X1]: (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(v_d2,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_d2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal))),
% 120.89/15.61 inference(resolution,[status(thm)],[f1286,f1319])).
% 120.89/15.61 fof(f4765,plain,(
% 120.89/15.61 ![X0,X1]: (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,v_d2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,v_d2,tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal))),
% 120.89/15.61 inference(resolution,[status(thm)],[f1288,f1319])).
% 120.89/15.61 fof(f4851,plain,(
% 120.89/15.61 c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 120.89/15.61 inference(resolution,[status(thm)],[f3710,f3770])).
% 120.89/15.61 fof(f4856,plain,(
% 120.89/15.61 spl0_52 <=> c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)=c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f4858,plain,(
% 120.89/15.61 ~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_52),
% 120.89/15.61 inference(component_clause,[status(thm)],[f4856])).
% 120.89/15.61 fof(f4894,plain,(
% 120.89/15.61 c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)=c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 120.89/15.61 inference(resolution,[status(thm)],[f661,f1388])).
% 120.89/15.61 fof(f4895,plain,(
% 120.89/15.61 $false|spl0_52),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f4894,f4858])).
% 120.89/15.61 fof(f4896,plain,(
% 120.89/15.61 spl0_52),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f4895])).
% 120.89/15.61 fof(f4903,plain,(
% 120.89/15.61 spl0_53 <=> class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f4905,plain,(
% 120.89/15.61 ~class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal)|spl0_53),
% 120.89/15.61 inference(component_clause,[status(thm)],[f4903])).
% 120.89/15.61 fof(f4913,plain,(
% 120.89/15.61 $false|spl0_53),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f4905,f1373])).
% 120.89/15.61 fof(f4914,plain,(
% 120.89/15.61 spl0_53),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f4913])).
% 120.89/15.61 fof(f4926,plain,(
% 120.89/15.61 spl0_55 <=> ~X0=X0),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f4927,plain,(
% 120.89/15.61 ![X0]: (~X0=X0|~spl0_55)),
% 120.89/15.61 inference(component_clause,[status(thm)],[f4926])).
% 120.89/15.61 fof(f4931,plain,(
% 120.89/15.61 $false|~spl0_55),
% 120.89/15.61 inference(trivial_equality_resolution,[status(esa)],[f4927])).
% 120.89/15.61 fof(f4932,plain,(
% 120.89/15.61 ~spl0_55),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f4931])).
% 120.89/15.61 fof(f4943,plain,(
% 120.89/15.61 spl0_56 <=> class_RealVector_Oreal__normed__field(tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f4945,plain,(
% 120.89/15.61 ~class_RealVector_Oreal__normed__field(tc_RealDef_Oreal)|spl0_56),
% 120.89/15.61 inference(component_clause,[status(thm)],[f4943])).
% 120.89/15.61 fof(f4951,plain,(
% 120.89/15.61 $false|spl0_56),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f4945,f1375])).
% 120.89/15.61 fof(f4952,plain,(
% 120.89/15.61 spl0_56),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f4951])).
% 120.89/15.61 fof(f4963,plain,(
% 120.89/15.61 spl0_58 <=> ~class_RealVector_Oreal__algebra__1(X0)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f4964,plain,(
% 120.89/15.61 ![X0]: (~class_RealVector_Oreal__algebra__1(X0)|~spl0_58)),
% 120.89/15.61 inference(component_clause,[status(thm)],[f4963])).
% 120.89/15.61 fof(f4968,plain,(
% 120.89/15.61 $false|~spl0_58),
% 120.89/15.61 inference(backward_subsumption_resolution,[status(thm)],[f1379,f4964])).
% 120.89/15.61 fof(f4969,plain,(
% 120.89/15.61 ~spl0_58),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f4968])).
% 120.89/15.61 fof(f4970,plain,(
% 120.89/15.61 spl0_59 <=> ~class_Nat_Osemiring__char__0(X0)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f4971,plain,(
% 120.89/15.61 ![X0]: (~class_Nat_Osemiring__char__0(X0)|~spl0_59)),
% 120.89/15.61 inference(component_clause,[status(thm)],[f4970])).
% 120.89/15.61 fof(f4975,plain,(
% 120.89/15.61 $false|~spl0_59),
% 120.89/15.61 inference(backward_subsumption_resolution,[status(thm)],[f1341,f4971])).
% 120.89/15.61 fof(f4976,plain,(
% 120.89/15.61 ~spl0_59),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f4975])).
% 120.89/15.61 fof(f4992,plain,(
% 120.89/15.61 spl0_62 <=> class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f4994,plain,(
% 120.89/15.61 ~class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)|spl0_62),
% 120.89/15.61 inference(component_clause,[status(thm)],[f4992])).
% 120.89/15.61 fof(f5000,plain,(
% 120.89/15.61 $false|spl0_62),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f4994,f1364])).
% 120.89/15.61 fof(f5001,plain,(
% 120.89/15.61 spl0_62),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f5000])).
% 120.89/15.61 fof(f5144,plain,(
% 120.89/15.61 spl0_68 <=> c_HOL_Oord__class_Oless(v_d1,v_d1,tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f5145,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(v_d1,v_d1,tc_RealDef_Oreal)|~spl0_68),
% 120.89/15.61 inference(component_clause,[status(thm)],[f5144])).
% 120.89/15.61 fof(f5147,plain,(
% 120.89/15.61 spl0_69 <=> c_HOL_Oord__class_Oless(v_d2,v_d2,tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f5162,plain,(
% 120.89/15.61 $false|~spl0_68),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f5145,f1302])).
% 120.89/15.61 fof(f5163,plain,(
% 120.89/15.61 ~spl0_68),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f5162])).
% 120.89/15.61 fof(f5825,plain,(
% 120.89/15.61 spl0_74 <=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_d1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f5826,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_d1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_74),
% 120.89/15.61 inference(component_clause,[status(thm)],[f5825])).
% 120.89/15.61 fof(f5830,plain,(
% 120.89/15.61 spl0_75 <=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_d2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f5831,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_d2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_75),
% 120.89/15.61 inference(component_clause,[status(thm)],[f5830])).
% 120.89/15.61 fof(f6092,plain,(
% 120.89/15.61 spl0_83 <=> ~c_HOL_Otimes__class_Otimes(X0,c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)|X0=X1),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f6093,plain,(
% 120.89/15.61 ![X0,X1]: (~c_HOL_Otimes__class_Otimes(X0,c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)|X0=X1|~spl0_83)),
% 120.89/15.61 inference(component_clause,[status(thm)],[f6092])).
% 120.89/15.61 fof(f6115,plain,(
% 120.89/15.61 spl0_86 <=> c_HOL_Oord__class_Oless(c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1,c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1,tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f6116,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1,c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1,tc_RealDef_Oreal)|~spl0_86),
% 120.89/15.61 inference(component_clause,[status(thm)],[f6115])).
% 120.89/15.61 fof(f6136,plain,(
% 120.89/15.61 $false|~spl0_86),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f6116,f1302])).
% 120.89/15.61 fof(f6137,plain,(
% 120.89/15.61 ~spl0_86),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f6136])).
% 120.89/15.61 fof(f6195,plain,(
% 120.89/15.61 spl0_88 <=> c_HOL_Oord__class_Oless(c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1,c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1,tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f6196,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1,c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1,tc_RealDef_Oreal)|~spl0_88),
% 120.89/15.61 inference(component_clause,[status(thm)],[f6195])).
% 120.89/15.61 fof(f6216,plain,(
% 120.89/15.61 $false|~spl0_88),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f6196,f1302])).
% 120.89/15.61 fof(f6217,plain,(
% 120.89/15.61 ~spl0_88),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f6216])).
% 120.89/15.61 fof(f6702,plain,(
% 120.89/15.61 ![X0,X1]: (~c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X1,X0,tc_RealDef_Oreal))),
% 120.89/15.61 inference(resolution,[status(thm)],[f1296,f1397])).
% 120.89/15.61 fof(f6729,plain,(
% 120.89/15.61 ~c_HOL_Oord__class_Oless(v_d2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 120.89/15.61 inference(resolution,[status(thm)],[f6702,f1319])).
% 120.89/15.61 fof(f6751,plain,(
% 120.89/15.61 ![X0,X1]: (~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(v_d2,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_d2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X1,X0,tc_RealDef_Oreal))),
% 120.89/15.61 inference(resolution,[status(thm)],[f6702,f4745])).
% 120.89/15.61 fof(f6769,plain,(
% 120.89/15.61 spl0_97 <=> c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f6770,plain,(
% 120.89/15.61 c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_97),
% 120.89/15.61 inference(component_clause,[status(thm)],[f6769])).
% 120.89/15.61 fof(f6867,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1,c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1,tc_RealDef_Oreal)|~spl0_97),
% 120.89/15.61 inference(backward_demodulation,[status(thm)],[f6770,f1227])).
% 120.89/15.61 fof(f6868,plain,(
% 120.89/15.61 $false|~spl0_97),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f6867,f1302])).
% 120.89/15.61 fof(f6869,plain,(
% 120.89/15.61 ~spl0_97),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f6868])).
% 120.89/15.61 fof(f6908,plain,(
% 120.89/15.61 spl0_100 <=> c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1=c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f6910,plain,(
% 120.89/15.61 ~c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1=c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1|spl0_100),
% 120.89/15.61 inference(component_clause,[status(thm)],[f6908])).
% 120.89/15.61 fof(f6976,plain,(
% 120.89/15.61 spl0_109 <=> v_d2=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f6977,plain,(
% 120.89/15.61 v_d2=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_109),
% 120.89/15.61 inference(component_clause,[status(thm)],[f6976])).
% 120.89/15.61 fof(f7008,plain,(
% 120.89/15.61 spl0_112 <=> c_HOL_Otimes__class_Otimes(v_d2,v_d2,tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f7009,plain,(
% 120.89/15.61 c_HOL_Otimes__class_Otimes(v_d2,v_d2,tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_112),
% 120.89/15.61 inference(component_clause,[status(thm)],[f7008])).
% 120.89/15.61 fof(f7043,plain,(
% 120.89/15.61 spl0_113 <=> c_HOL_Oabs__class_Oabs(v_d2,tc_RealDef_Oreal)=c_HOL_Oabs__class_Oabs(v_d2,tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f7045,plain,(
% 120.89/15.61 ~c_HOL_Oabs__class_Oabs(v_d2,tc_RealDef_Oreal)=c_HOL_Oabs__class_Oabs(v_d2,tc_RealDef_Oreal)|spl0_113),
% 120.89/15.61 inference(component_clause,[status(thm)],[f7043])).
% 120.89/15.61 fof(f7049,plain,(
% 120.89/15.61 $false|spl0_113),
% 120.89/15.61 inference(trivial_equality_resolution,[status(esa)],[f7045])).
% 120.89/15.61 fof(f7050,plain,(
% 120.89/15.61 spl0_113),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f7049])).
% 120.89/15.61 fof(f7055,plain,(
% 120.89/15.61 spl0_115 <=> c_HOL_Otimes__class_Otimes(v_d1,v_d1,tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f7056,plain,(
% 120.89/15.61 c_HOL_Otimes__class_Otimes(v_d1,v_d1,tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_115),
% 120.89/15.61 inference(component_clause,[status(thm)],[f7055])).
% 120.89/15.61 fof(f7123,plain,(
% 120.89/15.61 spl0_116 <=> c_HOL_Oabs__class_Oabs(v_d1,tc_RealDef_Oreal)=c_HOL_Oabs__class_Oabs(v_d1,tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f7125,plain,(
% 120.89/15.61 ~c_HOL_Oabs__class_Oabs(v_d1,tc_RealDef_Oreal)=c_HOL_Oabs__class_Oabs(v_d1,tc_RealDef_Oreal)|spl0_116),
% 120.89/15.61 inference(component_clause,[status(thm)],[f7123])).
% 120.89/15.61 fof(f7133,plain,(
% 120.89/15.61 $false|spl0_116),
% 120.89/15.61 inference(trivial_equality_resolution,[status(esa)],[f7125])).
% 120.89/15.61 fof(f7134,plain,(
% 120.89/15.61 spl0_116),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f7133])).
% 120.89/15.61 fof(f7138,plain,(
% 120.89/15.61 spl0_118 <=> c_HOL_Otimes__class_Otimes(v_d1,v_d2,tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f7139,plain,(
% 120.89/15.61 c_HOL_Otimes__class_Otimes(v_d1,v_d2,tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_118),
% 120.89/15.61 inference(component_clause,[status(thm)],[f7138])).
% 120.89/15.61 fof(f7172,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_112),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f7009,f1480])).
% 120.89/15.61 fof(f7173,plain,(
% 120.89/15.61 $false|~spl0_112),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f7172,f1302])).
% 120.89/15.61 fof(f7174,plain,(
% 120.89/15.61 ~spl0_112),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f7173])).
% 120.89/15.61 fof(f7182,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_115),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f7056,f1486])).
% 120.89/15.61 fof(f7183,plain,(
% 120.89/15.61 $false|~spl0_115),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f7182,f1302])).
% 120.89/15.61 fof(f7184,plain,(
% 120.89/15.61 ~spl0_115),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f7183])).
% 120.89/15.61 fof(f7185,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_118),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f7139,f1481])).
% 120.89/15.61 fof(f7186,plain,(
% 120.89/15.61 $false|~spl0_118),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f7185,f1302])).
% 120.89/15.61 fof(f7187,plain,(
% 120.89/15.61 ~spl0_118),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f7186])).
% 120.89/15.61 fof(f7192,plain,(
% 120.89/15.61 spl0_119 <=> c_HOL_Oord__class_Oless(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),v_d1,tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f7193,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(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),v_d1,tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_119),
% 120.89/15.61 inference(component_clause,[status(thm)],[f7192])).
% 120.89/15.61 fof(f7201,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(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(v_d1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_119),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f746,f7193])).
% 120.89/15.61 fof(f7205,plain,(
% 120.89/15.61 spl0_120 <=> c_HOL_Oord__class_Oless(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),v_d2,tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f7206,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(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),v_d2,tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_120),
% 120.89/15.61 inference(component_clause,[status(thm)],[f7205])).
% 120.89/15.61 fof(f7214,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(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(v_d2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_120),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f746,f7206])).
% 120.89/15.61 fof(f9262,plain,(
% 120.89/15.61 ![X0,X1]: (c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal))=c_HOL_Otimes__class_Otimes(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal))),
% 120.89/15.61 inference(paramodulation,[status(thm)],[f746,f707])).
% 120.89/15.61 fof(f9263,plain,(
% 120.89/15.61 ![X0,X1]: (c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal))=c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal)))),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f707,f9262])).
% 120.89/15.61 fof(f9293,plain,(
% 120.89/15.61 ![X0]: (c_NthRoot_Osqrt(c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal)))=c_HOL_Oabs__class_Oabs(c_NthRoot_Osqrt(X0),tc_RealDef_Oreal))),
% 120.89/15.61 inference(paramodulation,[status(thm)],[f707,f1143])).
% 120.89/15.61 fof(f9294,plain,(
% 120.89/15.61 ![X0]: (c_NthRoot_Osqrt(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal))=c_HOL_Oabs__class_Oabs(c_NthRoot_Osqrt(X0),tc_RealDef_Oreal))),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f1143,f9293])).
% 120.89/15.61 fof(f9752,plain,(
% 120.89/15.61 ![X0,X1,X2]: (~c_NthRoot_Osqrt(X0)=c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal))|X0=c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal))),
% 120.89/15.61 inference(paramodulation,[status(thm)],[f9263,f812])).
% 120.89/15.61 fof(f9768,plain,(
% 120.89/15.61 ![X0,X1]: (~c_NthRoot_Osqrt(X0)=c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal)|X0=c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal))),
% 120.89/15.61 inference(paramodulation,[status(thm)],[f1143,f9752])).
% 120.89/15.61 fof(f10428,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_74),
% 120.89/15.61 inference(backward_demodulation,[status(thm)],[f2455,f5826])).
% 120.89/15.61 fof(f10429,plain,(
% 120.89/15.61 $false|~spl0_74),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f10428,f1302])).
% 120.89/15.61 fof(f10430,plain,(
% 120.89/15.61 ~spl0_74),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f10429])).
% 120.89/15.61 fof(f10434,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_75),
% 120.89/15.61 inference(backward_demodulation,[status(thm)],[f2455,f5831])).
% 120.89/15.61 fof(f10435,plain,(
% 120.89/15.61 $false|~spl0_75),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f10434,f1302])).
% 120.89/15.61 fof(f10436,plain,(
% 120.89/15.61 ~spl0_75),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f10435])).
% 120.89/15.61 fof(f10438,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Opi,v_d2,tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 120.89/15.61 inference(backward_demodulation,[status(thm)],[f2455,f3979])).
% 120.89/15.61 fof(f10484,plain,(
% 120.89/15.61 ![X0]: (~c_HOL_Otimes__class_Otimes(c_Transcendental_Opi,X0,tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|X0=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 120.89/15.61 inference(paramodulation,[status(thm)],[f2455,f2450])).
% 120.89/15.61 fof(f10535,plain,(
% 120.89/15.61 spl0_201 <=> ~c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|X1=X0),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f10536,plain,(
% 120.89/15.61 ![X0,X1]: (~c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|X1=X0|~spl0_201)),
% 120.89/15.61 inference(component_clause,[status(thm)],[f10535])).
% 120.89/15.61 fof(f10544,plain,(
% 120.89/15.61 ![X0,X1]: (c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 120.89/15.61 inference(paramodulation,[status(thm)],[f2455,f1777])).
% 120.89/15.61 fof(f10545,plain,(
% 120.89/15.61 ![X0,X1]: (c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f2455,f10544])).
% 120.89/15.61 fof(f10706,plain,(
% 120.89/15.61 spl0_203 <=> c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f10707,plain,(
% 120.89/15.61 ![X0,X1,X2]: (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)|~spl0_203)),
% 120.89/15.61 inference(component_clause,[status(thm)],[f10706])).
% 120.89/15.61 fof(f10759,plain,(
% 120.89/15.61 spl0_204 <=> class_RealVector_Oreal__vector(tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f10761,plain,(
% 120.89/15.61 ~class_RealVector_Oreal__vector(tc_RealDef_Oreal)|spl0_204),
% 120.89/15.61 inference(component_clause,[status(thm)],[f10759])).
% 120.89/15.61 fof(f10762,plain,(
% 120.89/15.61 spl0_205 <=> ~c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|X0=X1),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f10763,plain,(
% 120.89/15.61 ![X0,X1]: (~c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|X0=X1|~spl0_205)),
% 120.89/15.61 inference(component_clause,[status(thm)],[f10762])).
% 120.89/15.61 fof(f10836,plain,(
% 120.89/15.61 ![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))),
% 120.89/15.61 inference(resolution,[status(thm)],[f1092,f1351])).
% 120.89/15.61 fof(f11031,plain,(
% 120.89/15.61 spl0_221 <=> c_HOL_Otimes__class_Otimes(c_Transcendental_Opi,v_d2,tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f11032,plain,(
% 120.89/15.61 c_HOL_Otimes__class_Otimes(c_Transcendental_Opi,v_d2,tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_221),
% 120.89/15.61 inference(component_clause,[status(thm)],[f11031])).
% 120.89/15.61 fof(f11219,plain,(
% 120.89/15.61 ~c_HOL_Oord__class_Oless(v_d2,v_d2,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(v_d2,v_d2,tc_RealDef_Oreal)),
% 120.89/15.61 inference(resolution,[status(thm)],[f6751,f4765])).
% 120.89/15.61 fof(f11220,plain,(
% 120.89/15.61 ~spl0_69),
% 120.89/15.61 inference(split_clause,[status(thm)],[f11219,f5147])).
% 120.89/15.61 fof(f11709,plain,(
% 120.89/15.61 spl0_223 <=> c_HOL_Oord__class_Oless(v_d2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f11710,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(v_d2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_223),
% 120.89/15.61 inference(component_clause,[status(thm)],[f11709])).
% 120.89/15.61 fof(f11720,plain,(
% 120.89/15.61 $false|spl0_204),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f10761,f1387])).
% 120.89/15.61 fof(f11721,plain,(
% 120.89/15.61 spl0_204),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f11720])).
% 120.89/15.61 fof(f11722,plain,(
% 120.89/15.61 ~c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_15),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f4851,f3623])).
% 120.89/15.61 fof(f11723,plain,(
% 120.89/15.61 ~c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_15),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f2456,f11722])).
% 120.89/15.61 fof(f11724,plain,(
% 120.89/15.61 ~c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|spl0_15),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f2456,f11723])).
% 120.89/15.61 fof(f11725,plain,(
% 120.89/15.61 $false|spl0_15),
% 120.89/15.61 inference(trivial_equality_resolution,[status(esa)],[f11724])).
% 120.89/15.61 fof(f11726,plain,(
% 120.89/15.61 spl0_15),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f11725])).
% 120.89/15.61 fof(f11727,plain,(
% 120.89/15.61 ~c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_16),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f4851,f3574])).
% 120.89/15.61 fof(f11728,plain,(
% 120.89/15.61 ~c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_16),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f2456,f11727])).
% 120.89/15.61 fof(f11729,plain,(
% 120.89/15.61 ~c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|spl0_16),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f2456,f11728])).
% 120.89/15.61 fof(f11730,plain,(
% 120.89/15.61 $false|spl0_16),
% 120.89/15.61 inference(trivial_equality_resolution,[status(esa)],[f11729])).
% 120.89/15.61 fof(f11731,plain,(
% 120.89/15.61 spl0_16),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f11730])).
% 120.89/15.61 fof(f11738,plain,(
% 120.89/15.61 $false|~spl0_223),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f11710,f6729])).
% 120.89/15.61 fof(f11739,plain,(
% 120.89/15.61 ~spl0_223),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f11738])).
% 120.89/15.61 fof(f11740,plain,(
% 120.89/15.61 ![X0,X1]: (~c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|X0=X1|~spl0_205)),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f3787,f10763])).
% 120.89/15.61 fof(f11741,plain,(
% 120.89/15.61 ![X0,X1]: (X0=X1|~spl0_205)),
% 120.89/15.61 inference(trivial_equality_resolution,[status(esa)],[f11740])).
% 120.89/15.61 fof(f11742,plain,(
% 120.89/15.61 ![X0,X1,X2]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X2,X1,tc_RealDef_Oreal)|~spl0_203)),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f2456,f10707])).
% 120.89/15.61 fof(f11743,plain,(
% 120.89/15.61 ![X0,X1]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)|~spl0_203)),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f2456,f11742])).
% 120.89/15.61 fof(f11744,plain,(
% 120.89/15.61 ![X0,X1]: (~c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)|~spl0_203)),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f11743,f1302])).
% 120.89/15.61 fof(f11745,plain,(
% 120.89/15.61 ![X0,X1]: (~c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|X0=X1|~spl0_201)),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f2456,f10536])).
% 120.89/15.61 fof(f11746,plain,(
% 120.89/15.61 ![X0,X1]: (X0=X1|~spl0_201)),
% 120.89/15.61 inference(trivial_equality_resolution,[status(esa)],[f11745])).
% 120.89/15.61 fof(f11818,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_d2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_120),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f2456,f7214])).
% 120.89/15.61 fof(f11819,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_120),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f2455,f11818])).
% 120.89/15.61 fof(f11820,plain,(
% 120.89/15.61 $false|~spl0_120),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f11819,f1302])).
% 120.89/15.61 fof(f11821,plain,(
% 120.89/15.61 ~spl0_120),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f11820])).
% 120.89/15.61 fof(f11822,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_d1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_119),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f2456,f7201])).
% 120.89/15.61 fof(f11823,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_119),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f2455,f11822])).
% 120.89/15.61 fof(f11824,plain,(
% 120.89/15.61 $false|~spl0_119),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f11823,f1302])).
% 120.89/15.61 fof(f11825,plain,(
% 120.89/15.61 ~spl0_119),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f11824])).
% 120.89/15.61 fof(f11851,plain,(
% 120.89/15.61 ![X0,X1]: (~c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)|X0=X1|~spl0_83)),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f874,f6093])).
% 120.89/15.61 fof(f11852,plain,(
% 120.89/15.61 ![X0,X1]: (~c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|X1=X0|~spl0_83)),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f2455,f11851])).
% 120.89/15.61 fof(f11853,plain,(
% 120.89/15.61 ![X0,X1]: (~c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|X0=X1|~spl0_83)),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f2456,f11852])).
% 120.89/15.61 fof(f11854,plain,(
% 120.89/15.61 ![X0,X1]: (X0=X1|~spl0_83)),
% 120.89/15.61 inference(trivial_equality_resolution,[status(esa)],[f11853])).
% 120.89/15.61 fof(f12088,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_d2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_42),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f2456,f4029])).
% 120.89/15.61 fof(f12089,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_42),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f2455,f12088])).
% 120.89/15.61 fof(f12090,plain,(
% 120.89/15.61 $false|~spl0_42),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f12089,f1302])).
% 120.89/15.61 fof(f12091,plain,(
% 120.89/15.61 ~spl0_42),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f12090])).
% 120.89/15.61 fof(f12092,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_d1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_41),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f2456,f3958])).
% 120.89/15.61 fof(f12093,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_41),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f2455,f12092])).
% 120.89/15.61 fof(f12094,plain,(
% 120.89/15.61 $false|~spl0_41),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f12093,f1302])).
% 120.89/15.61 fof(f12095,plain,(
% 120.89/15.61 ~spl0_41),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f12094])).
% 120.89/15.61 fof(f12124,plain,(
% 120.89/15.61 $false|~spl0_201),
% 120.89/15.61 inference(backward_subsumption_resolution,[status(thm)],[f873,f11746])).
% 120.89/15.61 fof(f12125,plain,(
% 120.89/15.61 ~spl0_201),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f12124])).
% 120.89/15.61 fof(f12419,plain,(
% 120.89/15.61 $false|~spl0_205),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f873,f11741])).
% 120.89/15.61 fof(f12420,plain,(
% 120.89/15.61 ~spl0_205),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f12419])).
% 120.89/15.61 fof(f12425,plain,(
% 120.89/15.61 $false|~spl0_83),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f873,f11854])).
% 120.89/15.61 fof(f12426,plain,(
% 120.89/15.61 ~spl0_83),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f12425])).
% 120.89/15.61 fof(f12880,plain,(
% 120.89/15.61 ![X0]: (c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 120.89/15.61 inference(resolution,[status(thm)],[f10545,f10484])).
% 120.89/15.61 fof(f12962,plain,(
% 120.89/15.61 ![X0]: (c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 120.89/15.61 inference(paramodulation,[status(thm)],[f12880,f746])).
% 120.89/15.61 fof(f13602,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_221),
% 120.89/15.61 inference(backward_demodulation,[status(thm)],[f11032,f10438])).
% 120.89/15.61 fof(f13603,plain,(
% 120.89/15.61 $false|~spl0_221),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f13602,f1302])).
% 120.89/15.61 fof(f13604,plain,(
% 120.89/15.61 ~spl0_221),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f13603])).
% 120.89/15.61 fof(f13749,plain,(
% 120.89/15.61 $false|~spl0_203),
% 120.89/15.61 inference(backward_subsumption_resolution,[status(thm)],[f1319,f11744])).
% 120.89/15.61 fof(f13750,plain,(
% 120.89/15.61 ~spl0_203),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f13749])).
% 120.89/15.61 fof(f14418,plain,(
% 120.89/15.61 spl0_265 <=> class_Orderings_Olinorder(tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f14420,plain,(
% 120.89/15.61 ~class_Orderings_Olinorder(tc_RealDef_Oreal)|spl0_265),
% 120.89/15.61 inference(component_clause,[status(thm)],[f14418])).
% 120.89/15.61 fof(f14426,plain,(
% 120.89/15.61 $false|spl0_265),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f14420,f1396])).
% 120.89/15.61 fof(f14427,plain,(
% 120.89/15.61 spl0_265),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f14426])).
% 120.89/15.61 fof(f14600,plain,(
% 120.89/15.61 spl0_272 <=> c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(v_d1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f14601,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(v_d1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_272),
% 120.89/15.61 inference(component_clause,[status(thm)],[f14600])).
% 120.89/15.61 fof(f14664,plain,(
% 120.89/15.61 spl0_274 <=> c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_d2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f14665,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_d2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_274),
% 120.89/15.61 inference(component_clause,[status(thm)],[f14664])).
% 120.89/15.61 fof(f14711,plain,(
% 120.89/15.61 spl0_275 <=> c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(v_d2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f14712,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(v_d2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_275),
% 120.89/15.61 inference(component_clause,[status(thm)],[f14711])).
% 120.89/15.61 fof(f14720,plain,(
% 120.89/15.61 spl0_276 <=> c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_d1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f14721,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_d1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_276),
% 120.89/15.61 inference(component_clause,[status(thm)],[f14720])).
% 120.89/15.61 fof(f15062,plain,(
% 120.89/15.61 ![X0]: (c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal))),
% 120.89/15.61 inference(resolution,[status(thm)],[f9294,f9768])).
% 120.89/15.61 fof(f15598,plain,(
% 120.89/15.61 ![X0,X1]: (~c_NthRoot_Osqrt(X0)=c_NthRoot_Osqrt(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal))|X0=c_HOL_Otimes__class_Otimes(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal))),
% 120.89/15.61 inference(paramodulation,[status(thm)],[f15062,f9752])).
% 120.89/15.61 fof(f15599,plain,(
% 120.89/15.61 ![X0,X1]: (~c_NthRoot_Osqrt(X0)=c_HOL_Oabs__class_Oabs(c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)|X0=c_HOL_Otimes__class_Otimes(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal))),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f9294,f15598])).
% 120.89/15.61 fof(f15600,plain,(
% 120.89/15.61 ![X0,X1]: (~c_NthRoot_Osqrt(X0)=c_HOL_Oabs__class_Oabs(c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)|X0=c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal))),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f15062,f15599])).
% 120.89/15.61 fof(f15631,plain,(
% 120.89/15.61 ![X0,X1]: (~c_NthRoot_Osqrt(X0)=c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)|X0=c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 120.89/15.61 inference(paramodulation,[status(thm)],[f1143,f15600])).
% 120.89/15.61 fof(f15632,plain,(
% 120.89/15.61 ![X0,X1]: (~c_NthRoot_Osqrt(X0)=c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal)|X0=c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f10836,f15631])).
% 120.89/15.61 fof(f15637,plain,(
% 120.89/15.61 ![X0]: (c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal)=c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 120.89/15.61 inference(resolution,[status(thm)],[f15632,f1143])).
% 120.89/15.61 fof(f16438,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(v_d2,v_d2,tc_RealDef_Oreal)|~spl0_109),
% 120.89/15.61 inference(backward_demodulation,[status(thm)],[f6977,f1319])).
% 120.89/15.61 fof(f16439,plain,(
% 120.89/15.61 $false|~spl0_109),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f16438,f1302])).
% 120.89/15.61 fof(f16440,plain,(
% 120.89/15.61 ~spl0_109),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f16439])).
% 120.89/15.61 fof(f16570,plain,(
% 120.89/15.61 c_Transcendental_Oexp(c_Transcendental_Oln(c_Transcendental_Opi),tc_RealDef_Oreal)=c_Transcendental_Opi),
% 120.89/15.61 inference(resolution,[status(thm)],[f880,f1222])).
% 120.89/15.61 fof(f16571,plain,(
% 120.89/15.61 c_Transcendental_Oexp(c_Transcendental_Oln(c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1),tc_RealDef_Oreal)=c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1),
% 120.89/15.61 inference(resolution,[status(thm)],[f880,f1227])).
% 120.89/15.61 fof(f16574,plain,(
% 120.89/15.61 c_Transcendental_Oexp(c_Transcendental_Oln(v_d1),tc_RealDef_Oreal)=v_d1),
% 120.89/15.61 inference(resolution,[status(thm)],[f880,f1318])).
% 120.89/15.61 fof(f16575,plain,(
% 120.89/15.61 c_Transcendental_Oexp(c_Transcendental_Oln(v_d2),tc_RealDef_Oreal)=v_d2),
% 120.89/15.61 inference(resolution,[status(thm)],[f880,f1319])).
% 120.89/15.61 fof(f16671,plain,(
% 120.89/15.61 c_HOL_Oabs__class_Oabs(v_d1,tc_RealDef_Oreal)=c_Transcendental_Oexp(c_Transcendental_Oln(v_d1),tc_RealDef_Oreal)),
% 120.89/15.61 inference(paramodulation,[status(thm)],[f16574,f1119])).
% 120.89/15.61 fof(f16672,plain,(
% 120.89/15.61 c_HOL_Oabs__class_Oabs(v_d1,tc_RealDef_Oreal)=v_d1),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f16574,f16671])).
% 120.89/15.61 fof(f16735,plain,(
% 120.89/15.61 c_HOL_Oabs__class_Oabs(v_d2,tc_RealDef_Oreal)=c_Transcendental_Oexp(c_Transcendental_Oln(v_d2),tc_RealDef_Oreal)),
% 120.89/15.61 inference(paramodulation,[status(thm)],[f16575,f1119])).
% 120.89/15.61 fof(f16736,plain,(
% 120.89/15.61 c_HOL_Oabs__class_Oabs(v_d2,tc_RealDef_Oreal)=v_d2),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f16575,f16735])).
% 120.89/15.61 fof(f16800,plain,(
% 120.89/15.61 $false|spl0_100),
% 120.89/15.61 inference(trivial_equality_resolution,[status(esa)],[f6910])).
% 120.89/15.61 fof(f16801,plain,(
% 120.89/15.61 spl0_100),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f16800])).
% 120.89/15.61 fof(f17241,plain,(
% 120.89/15.61 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_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 120.89/15.61 inference(paramodulation,[status(thm)],[f12880,f15637])).
% 120.89/15.61 fof(f17242,plain,(
% 120.89/15.61 c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)=c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f12880,f17241])).
% 120.89/15.61 fof(f17706,plain,(
% 120.89/15.61 c_HOL_Oabs__class_Oabs(c_Transcendental_Opi,tc_RealDef_Oreal)=c_Transcendental_Oexp(c_Transcendental_Oln(c_Transcendental_Opi),tc_RealDef_Oreal)),
% 120.89/15.61 inference(paramodulation,[status(thm)],[f16570,f1119])).
% 120.89/15.61 fof(f17707,plain,(
% 120.89/15.61 c_HOL_Oabs__class_Oabs(c_Transcendental_Opi,tc_RealDef_Oreal)=c_Transcendental_Opi),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f16570,f17706])).
% 120.89/15.61 fof(f17877,plain,(
% 120.89/15.61 c_HOL_Oabs__class_Oabs(c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1,tc_RealDef_Oreal)=c_Transcendental_Oexp(c_Transcendental_Oln(c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1),tc_RealDef_Oreal)),
% 120.89/15.61 inference(paramodulation,[status(thm)],[f16571,f1119])).
% 120.89/15.61 fof(f17878,plain,(
% 120.89/15.61 c_HOL_Oabs__class_Oabs(c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1,tc_RealDef_Oreal)=c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f16571,f17877])).
% 120.89/15.61 fof(f17910,plain,(
% 120.89/15.61 c_NthRoot_Osqrt(c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1)=c_HOL_Oabs__class_Oabs(c_NthRoot_Osqrt(c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1),tc_RealDef_Oreal)),
% 120.89/15.61 inference(paramodulation,[status(thm)],[f17878,f9294])).
% 120.89/15.61 fof(f18021,plain,(
% 120.89/15.61 spl0_400 <=> c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1=c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f18023,plain,(
% 120.89/15.61 ~c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1=c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1|spl0_400),
% 120.89/15.61 inference(component_clause,[status(thm)],[f18021])).
% 120.89/15.61 fof(f18033,plain,(
% 120.89/15.61 $false|spl0_400),
% 120.89/15.61 inference(trivial_equality_resolution,[status(esa)],[f18023])).
% 120.89/15.61 fof(f18034,plain,(
% 120.89/15.61 spl0_400),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f18033])).
% 120.89/15.61 fof(f18850,plain,(
% 120.89/15.61 ![X0]: (c_Transcendental_Oexp(c_Transcendental_Oln(c_RealDef_Oreal__of__preal(X0)),tc_RealDef_Oreal)=c_RealDef_Oreal__of__preal(X0))),
% 120.89/15.61 inference(resolution,[status(thm)],[f1233,f880])).
% 120.89/15.61 fof(f18891,plain,(
% 120.89/15.61 $false|spl0_44),
% 120.89/15.61 inference(trivial_equality_resolution,[status(esa)],[f4552])).
% 120.89/15.61 fof(f18892,plain,(
% 120.89/15.61 spl0_44),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f18891])).
% 120.89/15.61 fof(f18896,plain,(
% 120.89/15.61 spl0_423 <=> c_HOL_Oabs__class_Oabs(c_Transcendental_Opi,tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f18897,plain,(
% 120.89/15.61 c_HOL_Oabs__class_Oabs(c_Transcendental_Opi,tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_423),
% 120.89/15.61 inference(component_clause,[status(thm)],[f18896])).
% 120.89/15.61 fof(f18947,plain,(
% 120.89/15.61 spl0_429 <=> c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1=c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f18949,plain,(
% 120.89/15.61 ~c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1=c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1|spl0_429),
% 120.89/15.61 inference(component_clause,[status(thm)],[f18947])).
% 120.89/15.61 fof(f18960,plain,(
% 120.89/15.61 $false|spl0_429),
% 120.89/15.61 inference(trivial_equality_resolution,[status(esa)],[f18949])).
% 120.89/15.61 fof(f18961,plain,(
% 120.89/15.61 spl0_429),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f18960])).
% 120.89/15.61 fof(f19503,plain,(
% 120.89/15.61 spl0_455 <=> ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal__of__preal(X2),tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f19504,plain,(
% 120.89/15.61 ![X0]: (~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal__of__preal(X0),tc_RealDef_Oreal)|~spl0_455)),
% 120.89/15.61 inference(component_clause,[status(thm)],[f19503])).
% 120.89/15.61 fof(f19518,plain,(
% 120.89/15.61 spl0_456 <=> c_HOL_Oord__class_Oless(c_RealDef_Oreal__of__preal(X0),c_RealDef_Oreal__of__preal(X0),tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f19519,plain,(
% 120.89/15.61 ![X0]: (c_HOL_Oord__class_Oless(c_RealDef_Oreal__of__preal(X0),c_RealDef_Oreal__of__preal(X0),tc_RealDef_Oreal)|~spl0_456)),
% 120.89/15.61 inference(component_clause,[status(thm)],[f19518])).
% 120.89/15.61 fof(f19669,plain,(
% 120.89/15.61 spl0_459 <=> c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f19670,plain,(
% 120.89/15.61 ![X0]: (c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X0,tc_RealDef_Oreal),c_Transcendental_Oexp(X0,tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_459)),
% 120.89/15.61 inference(component_clause,[status(thm)],[f19669])).
% 120.89/15.61 fof(f19888,plain,(
% 120.89/15.61 c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1=c_HOL_Otimes__class_Otimes(c_NthRoot_Osqrt(c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1),c_NthRoot_Osqrt(c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1),tc_RealDef_Oreal)),
% 120.89/15.61 inference(resolution,[status(thm)],[f17910,f9768])).
% 120.89/15.61 fof(f19889,plain,(
% 120.89/15.61 c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1=c_HOL_Oabs__class_Oabs(c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1,tc_RealDef_Oreal)),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f15062,f19888])).
% 120.89/15.61 fof(f20947,plain,(
% 120.89/15.61 c_Transcendental_Opi=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_423),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f17707,f18897])).
% 120.89/15.61 fof(f20948,plain,(
% 120.89/15.61 $false|~spl0_423),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f20947,f873])).
% 120.89/15.61 fof(f20949,plain,(
% 120.89/15.61 ~spl0_423),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f20948])).
% 120.89/15.61 fof(f21246,plain,(
% 120.89/15.61 $false|~spl0_459),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f19670,f1302])).
% 120.89/15.61 fof(f21247,plain,(
% 120.89/15.61 ~spl0_459),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f21246])).
% 120.89/15.61 fof(f21248,plain,(
% 120.89/15.61 $false|~spl0_456),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f19519,f1302])).
% 120.89/15.61 fof(f21249,plain,(
% 120.89/15.61 ~spl0_456),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f21248])).
% 120.89/15.61 fof(f22339,plain,(
% 120.89/15.61 spl0_579 <=> ~class_RealVector_Ometric__space(X0)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f22340,plain,(
% 120.89/15.61 ![X0]: (~class_RealVector_Ometric__space(X0)|~spl0_579)),
% 120.89/15.61 inference(component_clause,[status(thm)],[f22339])).
% 120.89/15.61 fof(f22353,plain,(
% 120.89/15.61 $false|~spl0_579),
% 120.89/15.61 inference(backward_subsumption_resolution,[status(thm)],[f1385,f22340])).
% 120.89/15.61 fof(f22354,plain,(
% 120.89/15.61 ~spl0_579),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f22353])).
% 120.89/15.61 fof(f22898,plain,(
% 120.89/15.61 spl0_602 <=> class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f22900,plain,(
% 120.89/15.61 ~class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal)|spl0_602),
% 120.89/15.61 inference(component_clause,[status(thm)],[f22898])).
% 120.89/15.61 fof(f22906,plain,(
% 120.89/15.61 $false|spl0_602),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f22900,f1367])).
% 120.89/15.61 fof(f22907,plain,(
% 120.89/15.61 spl0_602),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f22906])).
% 120.89/15.61 fof(f26676,plain,(
% 120.89/15.61 $false|spl0_21),
% 120.89/15.61 inference(trivial_equality_resolution,[status(esa)],[f3599])).
% 120.89/15.61 fof(f26677,plain,(
% 120.89/15.61 spl0_21),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f26676])).
% 120.89/15.61 fof(f28398,plain,(
% 120.89/15.61 spl0_919 <=> c_NthRoot_Osqrt(v_d2)=c_NthRoot_Osqrt(v_d2)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f28400,plain,(
% 120.89/15.61 ~c_NthRoot_Osqrt(v_d2)=c_NthRoot_Osqrt(v_d2)|spl0_919),
% 120.89/15.61 inference(component_clause,[status(thm)],[f28398])).
% 120.89/15.61 fof(f28439,plain,(
% 120.89/15.61 $false|spl0_919),
% 120.89/15.61 inference(trivial_equality_resolution,[status(esa)],[f28400])).
% 120.89/15.61 fof(f28440,plain,(
% 120.89/15.61 spl0_919),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f28439])).
% 120.89/15.61 fof(f28848,plain,(
% 120.89/15.61 spl0_941 <=> c_NthRoot_Osqrt(c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1)=c_NthRoot_Osqrt(c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f28850,plain,(
% 120.89/15.61 ~c_NthRoot_Osqrt(c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1)=c_NthRoot_Osqrt(c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1)|spl0_941),
% 120.89/15.61 inference(component_clause,[status(thm)],[f28848])).
% 120.89/15.61 fof(f28865,plain,(
% 120.89/15.61 $false|spl0_941),
% 120.89/15.61 inference(trivial_equality_resolution,[status(esa)],[f28850])).
% 120.89/15.61 fof(f28866,plain,(
% 120.89/15.61 spl0_941),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f28865])).
% 120.89/15.61 fof(f28917,plain,(
% 120.89/15.61 spl0_946 <=> c_NthRoot_Osqrt(v_d1)=c_NthRoot_Osqrt(v_d1)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f28919,plain,(
% 120.89/15.61 ~c_NthRoot_Osqrt(v_d1)=c_NthRoot_Osqrt(v_d1)|spl0_946),
% 120.89/15.61 inference(component_clause,[status(thm)],[f28917])).
% 120.89/15.61 fof(f28936,plain,(
% 120.89/15.61 $false|spl0_946),
% 120.89/15.61 inference(trivial_equality_resolution,[status(esa)],[f28919])).
% 120.89/15.61 fof(f28937,plain,(
% 120.89/15.61 spl0_946),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f28936])).
% 120.89/15.61 fof(f28957,plain,(
% 120.89/15.61 spl0_948 <=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(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)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f28958,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(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)|~spl0_948),
% 120.89/15.61 inference(component_clause,[status(thm)],[f28957])).
% 120.89/15.61 fof(f28978,plain,(
% 120.89/15.61 spl0_949 <=> c_HOL_Oabs__class_Oabs(v_d2,tc_RealDef_Oreal)=v_d2),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f28980,plain,(
% 120.89/15.61 ~c_HOL_Oabs__class_Oabs(v_d2,tc_RealDef_Oreal)=v_d2|spl0_949),
% 120.89/15.61 inference(component_clause,[status(thm)],[f28978])).
% 120.89/15.61 fof(f28992,plain,(
% 120.89/15.61 spl0_950 <=> c_HOL_Oabs__class_Oabs(v_d1,tc_RealDef_Oreal)=v_d1),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f28994,plain,(
% 120.89/15.61 ~c_HOL_Oabs__class_Oabs(v_d1,tc_RealDef_Oreal)=v_d1|spl0_950),
% 120.89/15.61 inference(component_clause,[status(thm)],[f28992])).
% 120.89/15.61 fof(f29453,plain,(
% 120.89/15.61 spl0_965 <=> c_HOL_Oabs__class_Oabs(c_Transcendental_Opi,tc_RealDef_Oreal)=c_Transcendental_Opi),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f29455,plain,(
% 120.89/15.61 ~c_HOL_Oabs__class_Oabs(c_Transcendental_Opi,tc_RealDef_Oreal)=c_Transcendental_Opi|spl0_965),
% 120.89/15.61 inference(component_clause,[status(thm)],[f29453])).
% 120.89/15.61 fof(f29465,plain,(
% 120.89/15.61 ~c_Transcendental_Opi=c_Transcendental_Opi|spl0_965),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f17707,f29455])).
% 120.89/15.61 fof(f29466,plain,(
% 120.89/15.61 $false|spl0_965),
% 120.89/15.61 inference(trivial_equality_resolution,[status(esa)],[f29465])).
% 120.89/15.61 fof(f29467,plain,(
% 120.89/15.61 spl0_965),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f29466])).
% 120.89/15.61 fof(f29473,plain,(
% 120.89/15.61 spl0_967 <=> c_HOL_Oabs__class_Oabs(c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1,tc_RealDef_Oreal)=c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f29475,plain,(
% 120.89/15.61 ~c_HOL_Oabs__class_Oabs(c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1,tc_RealDef_Oreal)=c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1|spl0_967),
% 120.89/15.61 inference(component_clause,[status(thm)],[f29473])).
% 120.89/15.61 fof(f29485,plain,(
% 120.89/15.61 ~c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1=c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1|spl0_967),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f19889,f29475])).
% 120.89/15.61 fof(f29486,plain,(
% 120.89/15.61 $false|spl0_967),
% 120.89/15.61 inference(trivial_equality_resolution,[status(esa)],[f29485])).
% 120.89/15.61 fof(f29487,plain,(
% 120.89/15.61 spl0_967),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f29486])).
% 120.89/15.61 fof(f30858,plain,(
% 120.89/15.61 spl0_995 <=> c_HOL_Oord__class_Oless(c_Transcendental_Oexp(c_Transcendental_Oln(v_d1),tc_RealDef_Oreal),v_d1,tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f30859,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(c_Transcendental_Oexp(c_Transcendental_Oln(v_d1),tc_RealDef_Oreal),v_d1,tc_RealDef_Oreal)|~spl0_995),
% 120.89/15.61 inference(component_clause,[status(thm)],[f30858])).
% 120.89/15.61 fof(f30868,plain,(
% 120.89/15.61 spl0_996 <=> c_HOL_Oord__class_Oless(v_d1,c_Transcendental_Oexp(c_Transcendental_Oln(v_d1),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f30869,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(v_d1,c_Transcendental_Oexp(c_Transcendental_Oln(v_d1),tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_996),
% 120.89/15.61 inference(component_clause,[status(thm)],[f30868])).
% 120.89/15.61 fof(f30933,plain,(
% 120.89/15.61 spl0_1010 <=> c_HOL_Oord__class_Oless(c_Transcendental_Oln(v_d1),c_Transcendental_Oln(v_d1),tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f30934,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(c_Transcendental_Oln(v_d1),c_Transcendental_Oln(v_d1),tc_RealDef_Oreal)|~spl0_1010),
% 120.89/15.61 inference(component_clause,[status(thm)],[f30933])).
% 120.89/15.61 fof(f30950,plain,(
% 120.89/15.61 $false|spl0_40),
% 120.89/15.61 inference(trivial_equality_resolution,[status(esa)],[f3791])).
% 120.89/15.61 fof(f30951,plain,(
% 120.89/15.61 spl0_40),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f30950])).
% 120.89/15.61 fof(f31151,plain,(
% 120.89/15.61 ~v_d1=v_d1|spl0_950),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f16672,f28994])).
% 120.89/15.61 fof(f31152,plain,(
% 120.89/15.61 $false|spl0_950),
% 120.89/15.61 inference(trivial_equality_resolution,[status(esa)],[f31151])).
% 120.89/15.61 fof(f31153,plain,(
% 120.89/15.61 spl0_950),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f31152])).
% 120.89/15.61 fof(f31158,plain,(
% 120.89/15.61 $false|spl0_949),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f16736,f28980])).
% 120.89/15.61 fof(f31159,plain,(
% 120.89/15.61 spl0_949),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f31158])).
% 120.89/15.61 fof(f32712,plain,(
% 120.89/15.61 spl0_1040 <=> c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)=c_Transcendental_Opi),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f32713,plain,(
% 120.89/15.61 c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)=c_Transcendental_Opi|~spl0_1040),
% 120.89/15.61 inference(component_clause,[status(thm)],[f32712])).
% 120.89/15.61 fof(f32717,plain,(
% 120.89/15.61 c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)=c_Transcendental_Opi|~spl0_1040),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f17242,f32713])).
% 120.89/15.61 fof(f32718,plain,(
% 120.89/15.61 $false|~spl0_1040),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f32717,f873])).
% 120.89/15.61 fof(f32719,plain,(
% 120.89/15.61 ~spl0_1040),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f32718])).
% 120.89/15.61 fof(f32996,plain,(
% 120.89/15.61 $false|~spl0_1010),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f30934,f1302])).
% 120.89/15.61 fof(f32997,plain,(
% 120.89/15.61 ~spl0_1010),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f32996])).
% 120.89/15.61 fof(f32998,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(v_d1,v_d1,tc_RealDef_Oreal)|~spl0_996),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f16574,f30869])).
% 120.89/15.61 fof(f32999,plain,(
% 120.89/15.61 $false|~spl0_996),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f32998,f1302])).
% 120.89/15.61 fof(f33000,plain,(
% 120.89/15.61 ~spl0_996),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f32999])).
% 120.89/15.61 fof(f33001,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(v_d1,v_d1,tc_RealDef_Oreal)|~spl0_995),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f16574,f30859])).
% 120.89/15.61 fof(f33002,plain,(
% 120.89/15.61 $false|~spl0_995),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f33001,f1302])).
% 120.89/15.61 fof(f33003,plain,(
% 120.89/15.61 ~spl0_995),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f33002])).
% 120.89/15.61 fof(f33006,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_948),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f12880,f28958])).
% 120.89/15.61 fof(f33007,plain,(
% 120.89/15.61 $false|~spl0_948),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f33006,f1302])).
% 120.89/15.61 fof(f33008,plain,(
% 120.89/15.61 ~spl0_948),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f33007])).
% 120.89/15.61 fof(f33079,plain,(
% 120.89/15.61 $false|~spl0_455),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f19504,f1233])).
% 120.89/15.61 fof(f33080,plain,(
% 120.89/15.61 ~spl0_455),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f33079])).
% 120.89/15.61 fof(f33160,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_276),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f12880,f14721])).
% 120.89/15.61 fof(f33161,plain,(
% 120.89/15.61 $false|~spl0_276),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f33160,f1302])).
% 120.89/15.61 fof(f33162,plain,(
% 120.89/15.61 ~spl0_276),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f33161])).
% 120.89/15.61 fof(f33163,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_275),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f12962,f14712])).
% 120.89/15.61 fof(f33164,plain,(
% 120.89/15.61 $false|~spl0_275),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f33163,f1302])).
% 120.89/15.61 fof(f33165,plain,(
% 120.89/15.61 ~spl0_275),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f33164])).
% 120.89/15.61 fof(f33166,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_274),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f12880,f14665])).
% 120.89/15.61 fof(f33167,plain,(
% 120.89/15.61 $false|~spl0_274),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f33166,f1302])).
% 120.89/15.61 fof(f33168,plain,(
% 120.89/15.61 ~spl0_274),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f33167])).
% 120.89/15.61 fof(f33169,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_272),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f12962,f14601])).
% 120.89/15.61 fof(f33170,plain,(
% 120.89/15.61 $false|~spl0_272),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f33169,f1302])).
% 120.89/15.61 fof(f33171,plain,(
% 120.89/15.61 ~spl0_272),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f33170])).
% 120.89/15.61 fof(f33184,plain,(
% 120.89/15.61 spl0_1064 <=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f33185,plain,(
% 120.89/15.61 ![X0]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|~spl0_1064)),
% 120.89/15.61 inference(component_clause,[status(thm)],[f33184])).
% 120.89/15.61 fof(f33623,plain,(
% 120.89/15.61 $false|~spl0_1064),
% 120.89/15.61 inference(resolution,[status(thm)],[f33185,f1302])).
% 120.89/15.61 fof(f33624,plain,(
% 120.89/15.61 ~spl0_1064),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f33623])).
% 120.89/15.61 fof(f34077,plain,(
% 120.89/15.61 spl0_1086 <=> ~c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f34078,plain,(
% 120.89/15.61 ![X0,X1]: (~c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)|~spl0_1086)),
% 120.89/15.61 inference(component_clause,[status(thm)],[f34077])).
% 120.89/15.61 fof(f34730,plain,(
% 120.89/15.61 spl0_1104 <=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f34731,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),tc_RealDef_Oreal)|~spl0_1104),
% 120.89/15.61 inference(component_clause,[status(thm)],[f34730])).
% 120.89/15.61 fof(f34817,plain,(
% 120.89/15.61 spl0_1108 <=> class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f34819,plain,(
% 120.89/15.61 ~class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal)|spl0_1108),
% 120.89/15.61 inference(component_clause,[status(thm)],[f34817])).
% 120.89/15.61 fof(f34825,plain,(
% 120.89/15.61 $false|spl0_1108),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f34819,f1369])).
% 120.89/15.61 fof(f34826,plain,(
% 120.89/15.61 spl0_1108),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f34825])).
% 120.89/15.61 fof(f35357,plain,(
% 120.89/15.61 spl0_1126 <=> ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X0,v_d2),v_d1,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X0,v_d2),tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f35358,plain,(
% 120.89/15.61 ![X0]: (~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X0,v_d2),v_d1,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X0,v_d2),tc_RealDef_Oreal)|~spl0_1126)),
% 120.89/15.61 inference(component_clause,[status(thm)],[f35357])).
% 120.89/15.61 fof(f35360,plain,(
% 120.89/15.61 ![X0]: (~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_d2,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X0,v_d2),v_d1,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X0,v_d2),tc_RealDef_Oreal))),
% 120.89/15.61 inference(resolution,[status(thm)],[f1271,f1320])).
% 120.89/15.61 fof(f35361,plain,(
% 120.89/15.61 ~spl0_23|spl0_1126),
% 120.89/15.61 inference(split_clause,[status(thm)],[f35360,f3603,f35357])).
% 120.89/15.61 fof(f35395,plain,(
% 120.89/15.61 spl0_1131 <=> c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f35396,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_1131),
% 120.89/15.61 inference(component_clause,[status(thm)],[f35395])).
% 120.89/15.61 fof(f35443,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_1131),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f874,f35396])).
% 120.89/15.61 fof(f35444,plain,(
% 120.89/15.61 $false|~spl0_1131),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f35443,f1302])).
% 120.89/15.61 fof(f35445,plain,(
% 120.89/15.61 ~spl0_1131),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f35444])).
% 120.89/15.61 fof(f35449,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_1104),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f874,f34731])).
% 120.89/15.61 fof(f35450,plain,(
% 120.89/15.61 $false|~spl0_1104),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f35449,f1302])).
% 120.89/15.61 fof(f35451,plain,(
% 120.89/15.61 ~spl0_1104),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f35450])).
% 120.89/15.61 fof(f37046,plain,(
% 120.89/15.61 $false|~spl0_1086),
% 120.89/15.61 inference(backward_subsumption_resolution,[status(thm)],[f1318,f34078])).
% 120.89/15.61 fof(f37047,plain,(
% 120.89/15.61 ~spl0_1086),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f37046])).
% 120.89/15.61 fof(f41068,plain,(
% 120.89/15.61 c_Transcendental_Oexp(c_Transcendental_Oln(v_d2),tc_RealDef_Oreal)=v_d2),
% 120.89/15.61 inference(resolution,[status(thm)],[f1319,f880])).
% 120.89/15.61 fof(f41610,plain,(
% 120.89/15.61 spl0_1334 <=> c_Transcendental_Oexp(c_Transcendental_Oln(c_Transcendental_Opi),tc_RealDef_Oreal)=c_Transcendental_Opi),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f41612,plain,(
% 120.89/15.61 ~c_Transcendental_Oexp(c_Transcendental_Oln(c_Transcendental_Opi),tc_RealDef_Oreal)=c_Transcendental_Opi|spl0_1334),
% 120.89/15.61 inference(component_clause,[status(thm)],[f41610])).
% 120.89/15.61 fof(f41615,plain,(
% 120.89/15.61 ~c_Transcendental_Opi=c_Transcendental_Opi|spl0_1334),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f16570,f41612])).
% 120.89/15.61 fof(f41616,plain,(
% 120.89/15.61 $false|spl0_1334),
% 120.89/15.61 inference(trivial_equality_resolution,[status(esa)],[f41615])).
% 120.89/15.61 fof(f41617,plain,(
% 120.89/15.61 spl0_1334),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f41616])).
% 120.89/15.61 fof(f41977,plain,(
% 120.89/15.61 c_Transcendental_Oexp(c_Transcendental_Oln(v_d2),tc_RealDef_Oreal)=v_d2),
% 120.89/15.61 inference(resolution,[status(thm)],[f1319,f880])).
% 120.89/15.61 fof(f42002,plain,(
% 120.89/15.61 spl0_1361 <=> c_Transcendental_Oexp(c_Transcendental_Oln(v_d2),tc_RealDef_Oreal)=v_d2),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f42004,plain,(
% 120.89/15.61 ~c_Transcendental_Oexp(c_Transcendental_Oln(v_d2),tc_RealDef_Oreal)=v_d2|spl0_1361),
% 120.89/15.61 inference(component_clause,[status(thm)],[f42002])).
% 120.89/15.61 fof(f42693,plain,(
% 120.89/15.61 spl0_1382 <=> c_Transcendental_Oexp(c_Transcendental_Oln(c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1),tc_RealDef_Oreal)=c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f42695,plain,(
% 120.89/15.61 ~c_Transcendental_Oexp(c_Transcendental_Oln(c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1),tc_RealDef_Oreal)=c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1|spl0_1382),
% 120.89/15.61 inference(component_clause,[status(thm)],[f42693])).
% 120.89/15.61 fof(f43022,plain,(
% 120.89/15.61 ![X0]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X0,v_d2),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal))),
% 120.89/15.61 inference(resolution,[status(thm)],[f1319,f1239])).
% 120.89/15.61 fof(f43498,plain,(
% 120.89/15.61 spl0_1422 <=> c_HOL_Oord__class_Oless(c_Transcendental_Opi,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f43499,plain,(
% 120.89/15.61 c_HOL_Oord__class_Oless(c_Transcendental_Opi,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_1422),
% 120.89/15.61 inference(component_clause,[status(thm)],[f43498])).
% 120.89/15.61 fof(f43507,plain,(
% 120.89/15.61 $false|~spl0_1422),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f43499,f1281])).
% 120.89/15.61 fof(f43508,plain,(
% 120.89/15.61 ~spl0_1422),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f43507])).
% 120.89/15.61 fof(f44022,plain,(
% 120.89/15.61 spl0_1432 <=> ~c_Transcendental_Oexp(c_Transcendental_Oln(X1),tc_RealDef_Oreal)=X1|c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f44023,plain,(
% 120.89/15.61 ![X0]: (~c_Transcendental_Oexp(c_Transcendental_Oln(X0),tc_RealDef_Oreal)=X0|c_HOL_Oord__class_Oless(X0,X0,tc_RealDef_Oreal)|~spl0_1432)),
% 120.89/15.61 inference(component_clause,[status(thm)],[f44022])).
% 120.89/15.61 fof(f44032,plain,(
% 120.89/15.61 spl0_1433 <=> ~c_Transcendental_Oexp(c_Transcendental_Oln(X1),tc_RealDef_Oreal)=X1),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f44033,plain,(
% 120.89/15.61 ![X0]: (~c_Transcendental_Oexp(c_Transcendental_Oln(X0),tc_RealDef_Oreal)=X0|~spl0_1433)),
% 120.89/15.61 inference(component_clause,[status(thm)],[f44032])).
% 120.89/15.61 fof(f44063,plain,(
% 120.89/15.61 ![X0]: (~c_Transcendental_Oexp(c_Transcendental_Oln(X0),tc_RealDef_Oreal)=X0|~spl0_1432)),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f44023,f1302])).
% 120.89/15.61 fof(f44072,plain,(
% 120.89/15.61 spl0_1434 <=> ~c_Transcendental_Oexp(c_Transcendental_Oln(c_RealDef_Oreal__of__preal(X2)),tc_RealDef_Oreal)=c_RealDef_Oreal__of__preal(X2)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f44073,plain,(
% 120.89/15.61 ![X0]: (~c_Transcendental_Oexp(c_Transcendental_Oln(c_RealDef_Oreal__of__preal(X0)),tc_RealDef_Oreal)=c_RealDef_Oreal__of__preal(X0)|~spl0_1434)),
% 120.89/15.61 inference(component_clause,[status(thm)],[f44072])).
% 120.89/15.61 fof(f44108,plain,(
% 120.89/15.61 ~c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1=c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1|spl0_1382),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f16571,f42695])).
% 120.89/15.61 fof(f44109,plain,(
% 120.89/15.61 $false|spl0_1382),
% 120.89/15.61 inference(trivial_equality_resolution,[status(esa)],[f44108])).
% 120.89/15.61 fof(f44110,plain,(
% 120.89/15.61 spl0_1382),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f44109])).
% 120.89/15.61 fof(f44111,plain,(
% 120.89/15.61 ![X0]: (~c_RealDef_Oreal__of__preal(X0)=c_RealDef_Oreal__of__preal(X0)|~spl0_1434)),
% 120.89/15.61 inference(forward_demodulation,[status(thm)],[f18850,f44073])).
% 120.89/15.61 fof(f44112,plain,(
% 120.89/15.61 $false|~spl0_1434),
% 120.89/15.61 inference(trivial_equality_resolution,[status(esa)],[f44111])).
% 120.89/15.61 fof(f44113,plain,(
% 120.89/15.61 ~spl0_1434),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f44112])).
% 120.89/15.61 fof(f44118,plain,(
% 120.89/15.61 $false|~spl0_1432),
% 120.89/15.61 inference(backward_subsumption_resolution,[status(thm)],[f41068,f44063])).
% 120.89/15.61 fof(f44119,plain,(
% 120.89/15.61 ~spl0_1432),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f44118])).
% 120.89/15.61 fof(f44121,plain,(
% 120.89/15.61 ![X0]: (~c_Transcendental_Oexp(X0,tc_RealDef_Oreal)=c_Transcendental_Oexp(X0,tc_RealDef_Oreal)|~spl0_1433)),
% 120.89/15.61 inference(paramodulation,[status(thm)],[f1061,f44033])).
% 120.89/15.61 fof(f44122,plain,(
% 120.89/15.61 $false|~spl0_1433),
% 120.89/15.61 inference(trivial_equality_resolution,[status(esa)],[f44121])).
% 120.89/15.61 fof(f44123,plain,(
% 120.89/15.61 ~spl0_1433),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f44122])).
% 120.89/15.61 fof(f44269,plain,(
% 120.89/15.61 spl0_1437 <=> ~class_RealVector_Oreal__vector(X0)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f44270,plain,(
% 120.89/15.61 ![X0]: (~class_RealVector_Oreal__vector(X0)|~spl0_1437)),
% 120.89/15.61 inference(component_clause,[status(thm)],[f44269])).
% 120.89/15.61 fof(f44345,plain,(
% 120.89/15.61 $false|spl0_1361),
% 120.89/15.61 inference(forward_subsumption_resolution,[status(thm)],[f41977,f42004])).
% 120.89/15.61 fof(f44346,plain,(
% 120.89/15.61 spl0_1361),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f44345])).
% 120.89/15.61 fof(f44990,plain,(
% 120.89/15.61 $false|~spl0_1437),
% 120.89/15.61 inference(backward_subsumption_resolution,[status(thm)],[f1387,f44270])).
% 120.89/15.61 fof(f44991,plain,(
% 120.89/15.61 ~spl0_1437),
% 120.89/15.61 inference(contradiction_clause,[status(thm)],[f44990])).
% 120.89/15.61 fof(f46019,plain,(
% 120.89/15.61 spl0_1472 <=> c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f46020,plain,(
% 120.89/15.61 ![X0]: (c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_1472)),
% 120.89/15.61 inference(component_clause,[status(thm)],[f46019])).
% 120.89/15.61 fof(f46033,plain,(
% 120.89/15.61 spl0_1474 <=> ~c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 120.89/15.61 introduced(split_symbol_definition)).
% 120.89/15.61 fof(f46034,plain,(
% 120.89/15.61 ![X0]: (~c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_1474)),
% 120.89/15.61 inference(component_clause,[status(thm)],[f46033])).
% 120.89/15.61 fof(f46592,plain,(
% 120.89/15.61 $false|~spl0_1472),
% 120.89/15.61 inference(resolution,[status(thm)],[f46020,f1302])).
% 120.89/15.61 fof(f46593,plain,(
% 121.80/15.72 ~spl0_1472),
% 121.80/15.72 inference(contradiction_clause,[status(thm)],[f46592])).
% 121.80/15.72 fof(f46976,plain,(
% 121.80/15.72 c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 121.80/15.72 inference(resolution,[status(thm)],[f1224,f1302])).
% 121.80/15.72 fof(f46977,plain,(
% 121.80/15.72 $false|~spl0_1474),
% 121.80/15.72 inference(forward_subsumption_resolution,[status(thm)],[f46976,f46034])).
% 121.80/15.72 fof(f46978,plain,(
% 121.80/15.72 ~spl0_1474),
% 121.80/15.72 inference(contradiction_clause,[status(thm)],[f46977])).
% 121.80/15.72 fof(f50933,plain,(
% 121.80/15.72 ![X0]: (~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X0,v_d2),v_d1,tc_RealDef_Oreal)|~spl0_1126)),
% 121.80/15.72 inference(forward_subsumption_resolution,[status(thm)],[f35358,f43022])).
% 121.80/15.72 fof(f50934,plain,(
% 121.80/15.72 ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_d1,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_d2,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_d1,tc_RealDef_Oreal)|~spl0_1126),
% 121.80/15.72 inference(resolution,[status(thm)],[f50933,f1273])).
% 121.80/15.72 fof(f50935,plain,(
% 121.80/15.72 ~spl0_0|~spl0_23|~spl0_1126),
% 121.80/15.72 inference(split_clause,[status(thm)],[f50934,f1401,f3603,f35357])).
% 121.80/15.72 fof(f50938,plain,(
% 121.80/15.72 $false),
% 121.80/15.72 inference(sat_refutation,[status(thm)],[f1410,f3625,f3692,f3755,f3757,f3759,f3761,f3763,f3765,f3767,f3769,f3784,f4482,f4538,f4576,f4896,f4914,f4932,f4952,f4969,f4976,f5001,f5163,f6137,f6217,f6869,f7050,f7134,f7174,f7184,f7187,f10430,f10436,f11220,f11721,f11726,f11731,f11739,f11821,f11825,f12091,f12095,f12125,f12420,f12426,f13604,f13750,f14427,f16440,f16801,f18034,f18892,f18961,f20949,f21247,f21249,f22354,f22907,f26677,f28440,f28866,f28937,f29467,f29487,f30951,f31153,f31159,f32719,f32997,f33000,f33003,f33008,f33080,f33162,f33165,f33168,f33171,f33624,f34826,f35361,f35445,f35451,f37047,f41617,f43508,f44110,f44113,f44119,f44123,f44346,f44991,f46593,f46978,f50935])).
% 121.80/15.72 % SZS output end CNFRefutation for theBenchmark.p
% 122.12/15.76 % Elapsed time: 15.388823 seconds
% 122.12/15.76 % CPU time: 121.791638 seconds
% 122.12/15.76 % Total memory used: 743.861 MB
% 122.12/15.76 % Net memory used: 734.077 MB
%------------------------------------------------------------------------------