TSTP Solution File: SWW253+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWW253+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 20:49:55 EDT 2024
% Result : Theorem 33.83s 4.74s
% Output : CNFRefutation 34.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWW253+1 : TPTP v8.1.2. Released v5.2.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n016.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Apr 29 23:45:10 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.21/0.44 % Drodi V3.6.0
% 33.83/4.74 % Refutation found
% 33.83/4.74 % SZS status Theorem for theBenchmark: Theorem is valid
% 33.83/4.74 % SZS output start CNFRefutation for theBenchmark
% 33.83/4.74 fof(f11,axiom,(
% 33.83/4.74 (! [B_z] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),B_z) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),B_z)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))) )),
% 33.83/4.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.74 fof(f16,axiom,(
% 33.83/4.74 (! [T_a] :( class_RealVector_Oreal__normed__algebra__1(T_a)=> c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ) )),
% 33.83/4.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.74 fof(f23,axiom,(
% 33.83/4.74 (! [V_b,V_a,T_a] :( class_Rings_Ocomm__semiring__1(T_a)=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a) ) )),
% 33.83/4.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.74 fof(f32,axiom,(
% 33.83/4.74 (! [V_b,V_a,T_a] :( class_Rings_Ono__zero__divisors(T_a)=> ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)=> ( V_a = c_Groups_Ozero__class_Ozero(T_a)| V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) )),
% 33.83/4.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.74 fof(f41,axiom,(
% 33.83/4.74 (! [V_a,T_a] :( class_Rings_Ocomm__semiring__1(T_a)=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) )),
% 33.83/4.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.74 fof(f48,axiom,(
% 33.83/4.74 (! [V_s,V_y,V_r,V_x,T_a] :( class_RealVector_Oreal__normed__algebra(T_a)=> ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x),V_r)=> ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_y),V_s)=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_r),V_s)) ) ) ) )),
% 33.83/4.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.74 fof(f75,axiom,(
% 33.83/4.74 (! [V_a_2,V_ca_2,V_b_2,T_a] :( class_Fields_Ofield__inverse__zero(T_a)=> ( c_Rings_Oinverse__class_Odivide(T_a,V_b_2,V_ca_2) = V_a_2<=> ( ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_a)=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2) )& ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_a)=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) )),
% 33.83/4.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.74 fof(f78,axiom,(
% 33.83/4.74 (! [V_b,V_a,T_a] :( class_Rings_Odivision__ring(T_a)=> ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Oone__class_Oone(T_a)=> c_Rings_Oinverse__class_Oinverse(T_a,V_a) = V_b ) ) )),
% 33.83/4.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.74 fof(f110,axiom,(
% 33.83/4.74 (! [V_a_2,T_a] :( class_Rings_Odivision__ring__inverse__zero(T_a)=> ( c_Rings_Oinverse__class_Oinverse(T_a,V_a_2) = c_Groups_Ozero__class_Ozero(T_a)<=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) )),
% 33.83/4.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.74 fof(f112,axiom,(
% 33.83/4.74 (! [T_a] :( class_Fields_Ofield__inverse__zero(T_a)=> c_Rings_Oinverse__class_Oinverse(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) )),
% 33.83/4.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.74 fof(f114,axiom,(
% 33.83/4.74 (! [V_x_2,T_a] :( class_Fields_Ofield__inverse__zero(T_a)=> ( c_Rings_Oinverse__class_Oinverse(T_a,V_x_2) = c_Groups_Oone__class_Oone(T_a)<=> V_x_2 = c_Groups_Oone__class_Oone(T_a) ) ) )),
% 33.83/4.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.74 fof(f115,axiom,(
% 33.83/4.74 (! [T_a] :( class_Rings_Odivision__ring(T_a)=> c_Rings_Oinverse__class_Oinverse(T_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) )),
% 33.83/4.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f119,axiom,(
% 33.83/4.76 (! [T_a] :( class_Rings_Olinordered__semidom(T_a)=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oone__class_Oone(T_a)) ) )),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f120,axiom,(
% 33.83/4.76 (! [T_a] :( class_Rings_Olinordered__semidom(T_a)=> ~ c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(T_a)) ) )),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f144,axiom,(
% 33.83/4.76 (! [V_y,V_x] : c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,V_x,V_y) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),V_x),c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,V_y)) )),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f156,axiom,(
% 33.83/4.76 hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f168,axiom,(
% 33.83/4.76 hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) ),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f171,axiom,(
% 33.83/4.76 (! [V_x] :( V_x != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,V_x)),V_x) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ) )),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f173,axiom,(
% 33.83/4.76 (! [V_u,V_y,V_x1,V_x] :( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)=> ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x1)=> ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x1),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x),V_u))=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_u),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,V_x1))) ) ) ) )),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f174,axiom,(
% 33.83/4.76 (! [V_y,V_x] : c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,V_x,V_y) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,V_y)) )),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f178,axiom,(
% 33.83/4.76 (! [V_y_2,V_x_2] :( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2)<=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2)& V_x_2 != V_y_2 ) ) )),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f179,axiom,(
% 33.83/4.76 (! [V_y_2,V_x_2] :( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2)<=> ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2)| V_x_2 = V_y_2 ) ) )),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f181,axiom,(
% 33.83/4.76 (! [V_w,V_z] :( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_z,V_w)| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w,V_z) ) )),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f182,axiom,(
% 33.83/4.76 (! [V_k,V_j,V_i] :( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i,V_j)=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_j,V_k)=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i,V_k) ) ) )),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f183,axiom,(
% 33.83/4.76 (! [V_w,V_z] :( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_z,V_w)=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w,V_z)=> V_z = V_w ) ) )),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f184,axiom,(
% 33.83/4.76 (! [V_y_2,V_x_2] :( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,V_x_2,V_y_2))<=> ( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_y_2) )& ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x_2)| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_y_2,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ) ) ) )),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f210,axiom,(
% 33.83/4.76 (! [V_y_2,V_x_2,V_z_2] :( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z_2),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z_2),V_y_2))<=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2) ) ) )),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f211,axiom,(
% 33.83/4.76 (! [V_y_2,V_x_2,V_z_2] :( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x_2),V_z_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y_2),V_z_2))<=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2) ) ) )),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f241,axiom,(
% 33.83/4.76 (! [V_z3,V_z2,V_z1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z1),V_z2)),V_z3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z2),V_z3)) )),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f242,axiom,(
% 33.83/4.76 (! [V_w,V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z),V_w) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_w),V_z) )),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f256,axiom,(
% 33.83/4.76 (! [V_b_2,V_a_2,V_ca_2] :( V_ca_2 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=> ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_ca_2),V_a_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_ca_2),V_b_2)<=> V_a_2 = V_b_2 ) ) )),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f257,axiom,(
% 33.83/4.76 (! [V_b_2,V_a_2,V_ca_2] :( V_ca_2 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=> ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_a_2),V_ca_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_b_2),V_ca_2)<=> V_a_2 = V_b_2 ) ) )),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f258,axiom,(
% 33.83/4.76 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f259,axiom,(
% 33.83/4.76 (! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),V_z) = V_z )),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f261,axiom,(
% 33.83/4.76 (! [V_y_2,V_x_2,V_z_2] :( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)=> ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x_2),V_z_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y_2),V_z_2))<=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2) ) ) )),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f263,axiom,(
% 33.83/4.76 (! [V_y,V_x,V_z] :( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z)=> ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,V_y)=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z),V_y)) ) ) )),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f406,axiom,(
% 33.83/4.76 (! [V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f408,axiom,(
% 33.83/4.76 (! [V_n_2,V_m_2,V_k_2] :( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)<=> ( V_m_2 = V_n_2| V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) )),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f410,axiom,(
% 33.83/4.76 (! [V_n,V_m] :( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)=> ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat)| V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) )),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f457,axiom,(
% 33.83/4.76 (! [V_y_2,V_x_2,T_a] :( class_Rings_Olinordered__ring__strict(T_a)=> ( c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2)) = c_Groups_Ozero__class_Ozero(T_a)<=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a)& V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) )),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f485,axiom,(
% 33.83/4.76 (! [V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m) )),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f488,axiom,(
% 33.83/4.76 (! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n )),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f533,axiom,(
% 33.83/4.76 (! [V_p,V_r] :(? [B_m] :( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_m)& (! [B_z] :( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z),V_r)=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,V_p),B_z)),B_m) ) )) ))),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f563,axiom,(
% 33.83/4.76 c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f573,axiom,(
% 33.83/4.76 c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f684,axiom,(
% 33.83/4.76 (! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z )),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f686,axiom,(
% 33.83/4.76 (! [V_w,V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),V_w) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z) )),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f689,axiom,(
% 33.83/4.76 (! [V_n_2,V_m_2] :( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_m_2)=> ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)<=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)& V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) )),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f719,axiom,(
% 33.83/4.76 c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f720,axiom,(
% 33.83/4.76 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f1017,axiom,(
% 33.83/4.76 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f1018,axiom,(
% 33.83/4.76 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f1029,axiom,(
% 33.83/4.76 class_Rings_Ono__zero__divisors(tc_Int_Oint) ),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f1078,axiom,(
% 33.83/4.76 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f1109,axiom,(
% 33.83/4.76 class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal) ),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f1110,axiom,(
% 33.83/4.76 class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f1112,axiom,(
% 33.83/4.76 class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f1116,axiom,(
% 33.83/4.76 class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f1119,axiom,(
% 33.83/4.76 class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal) ),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f1121,axiom,(
% 33.83/4.76 class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal) ),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f1127,axiom,(
% 33.83/4.76 class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal) ),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f1128,axiom,(
% 33.83/4.76 class_Rings_Olinordered__semidom(tc_RealDef_Oreal) ),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f1134,axiom,(
% 33.83/4.76 class_Rings_Ono__zero__divisors(tc_RealDef_Oreal) ),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f1138,axiom,(
% 33.83/4.76 class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal) ),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f1141,axiom,(
% 33.83/4.76 class_Rings_Odivision__ring(tc_RealDef_Oreal) ),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f1169,axiom,(
% 33.83/4.76 class_Rings_Odivision__ring__inverse__zero(tc_Complex_Ocomplex) ),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f1170,axiom,(
% 33.83/4.76 class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f1171,axiom,(
% 33.83/4.76 class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f1173,axiom,(
% 33.83/4.76 class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f1176,axiom,(
% 33.83/4.76 class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex) ),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f1178,axiom,(
% 33.83/4.76 class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex) ),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f1182,axiom,(
% 33.83/4.76 class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex) ),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f1184,axiom,(
% 33.83/4.76 class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f1187,axiom,(
% 33.83/4.76 class_Rings_Odivision__ring(tc_Complex_Ocomplex) ),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f1264,conjecture,(
% 33.83/4.76 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),v_w____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))<=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ) ),
% 33.83/4.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.76 fof(f1265,negated_conjecture,(
% 33.83/4.76 ~(( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),v_w____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))<=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ) )),
% 33.83/4.76 inference(negated_conjecture,[status(cth)],[f1264])).
% 33.83/4.76 fof(f1280,plain,(
% 33.83/4.76 ![X0]: (hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),X0)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),X0)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))))),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f11])).
% 33.83/4.76 fof(f1294,plain,(
% 33.83/4.76 ![T_a]: (~class_RealVector_Oreal__normed__algebra__1(T_a)|c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Oone__class_Oone(T_a))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 33.83/4.76 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 33.83/4.76 fof(f1295,plain,(
% 33.83/4.76 ![X0]: (~class_RealVector_Oreal__normed__algebra__1(X0)|c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oone__class_Oone(X0))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1294])).
% 33.83/4.76 fof(f1310,plain,(
% 33.83/4.76 ![V_b,V_a,T_a]: (~class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a))),
% 33.83/4.76 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 33.83/4.76 fof(f1311,plain,(
% 33.83/4.76 ![T_a]: (~class_Rings_Ocomm__semiring__1(T_a)|(![V_b,V_a]: hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a)))),
% 33.83/4.76 inference(miniscoping,[status(esa)],[f1310])).
% 33.83/4.76 fof(f1312,plain,(
% 33.83/4.76 ![X0,X1,X2]: (~class_Rings_Ocomm__semiring__1(X0)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1))),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1311])).
% 33.83/4.76 fof(f1339,plain,(
% 33.83/4.76 ![V_b,V_a,T_a]: (~class_Rings_Ono__zero__divisors(T_a)|(~hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)=c_Groups_Ozero__class_Ozero(T_a)|(V_a=c_Groups_Ozero__class_Ozero(T_a)|V_b=c_Groups_Ozero__class_Ozero(T_a))))),
% 33.83/4.76 inference(pre_NNF_transformation,[status(esa)],[f32])).
% 33.83/4.76 fof(f1340,plain,(
% 33.83/4.76 ![T_a]: (~class_Rings_Ono__zero__divisors(T_a)|(![V_b,V_a]: (~hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)=c_Groups_Ozero__class_Ozero(T_a)|(V_a=c_Groups_Ozero__class_Ozero(T_a)|V_b=c_Groups_Ozero__class_Ozero(T_a)))))),
% 33.83/4.76 inference(miniscoping,[status(esa)],[f1339])).
% 33.83/4.76 fof(f1341,plain,(
% 33.83/4.76 ![X0,X1,X2]: (~class_Rings_Ono__zero__divisors(X0)|~hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)=c_Groups_Ozero__class_Ozero(X0)|X1=c_Groups_Ozero__class_Ozero(X0)|X2=c_Groups_Ozero__class_Ozero(X0))),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1340])).
% 33.83/4.76 fof(f1369,plain,(
% 33.83/4.76 ![V_a,T_a]: (~class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)=c_Groups_Ozero__class_Ozero(T_a))),
% 33.83/4.76 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 33.83/4.76 fof(f1370,plain,(
% 33.83/4.76 ![T_a]: (~class_Rings_Ocomm__semiring__1(T_a)|(![V_a]: hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)=c_Groups_Ozero__class_Ozero(T_a)))),
% 33.83/4.76 inference(miniscoping,[status(esa)],[f1369])).
% 33.83/4.76 fof(f1371,plain,(
% 33.83/4.76 ![X0,X1]: (~class_Rings_Ocomm__semiring__1(X0)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ozero__class_Ozero(X0)),X1)=c_Groups_Ozero__class_Ozero(X0))),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1370])).
% 33.83/4.76 fof(f1390,plain,(
% 33.83/4.76 ![V_s,V_y,V_r,V_x,T_a]: (~class_RealVector_Oreal__normed__algebra(T_a)|(~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x),V_r)|(~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_y),V_s)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_r),V_s)))))),
% 33.83/4.76 inference(pre_NNF_transformation,[status(esa)],[f48])).
% 33.83/4.76 fof(f1391,plain,(
% 33.83/4.76 ![T_a]: (~class_RealVector_Oreal__normed__algebra(T_a)|(![V_r,V_x]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x),V_r)|(![V_s,V_y]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_y),V_s)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_r),V_s)))))))),
% 33.83/4.76 inference(miniscoping,[status(esa)],[f1390])).
% 33.83/4.76 fof(f1392,plain,(
% 33.83/4.76 ![X0,X1,X2,X3,X4]: (~class_RealVector_Oreal__normed__algebra(X0)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X2)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X3),X4)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X4)))),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1391])).
% 33.83/4.76 fof(f1495,plain,(
% 33.83/4.76 ![V_a_2,V_ca_2,V_b_2,T_a]: (~class_Fields_Ofield__inverse__zero(T_a)|(c_Rings_Oinverse__class_Odivide(T_a,V_b_2,V_ca_2)=V_a_2<=>((V_ca_2=c_Groups_Ozero__class_Ozero(T_a)|V_b_2=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2))&(~V_ca_2=c_Groups_Ozero__class_Ozero(T_a)|V_a_2=c_Groups_Ozero__class_Ozero(T_a)))))),
% 33.83/4.76 inference(pre_NNF_transformation,[status(esa)],[f75])).
% 33.83/4.76 fof(f1496,plain,(
% 33.83/4.76 ![V_a_2,V_ca_2,V_b_2,T_a]: (~class_Fields_Ofield__inverse__zero(T_a)|((~c_Rings_Oinverse__class_Odivide(T_a,V_b_2,V_ca_2)=V_a_2|((V_ca_2=c_Groups_Ozero__class_Ozero(T_a)|V_b_2=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2))&(~V_ca_2=c_Groups_Ozero__class_Ozero(T_a)|V_a_2=c_Groups_Ozero__class_Ozero(T_a))))&(c_Rings_Oinverse__class_Odivide(T_a,V_b_2,V_ca_2)=V_a_2|((~V_ca_2=c_Groups_Ozero__class_Ozero(T_a)&~V_b_2=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2))|(V_ca_2=c_Groups_Ozero__class_Ozero(T_a)&~V_a_2=c_Groups_Ozero__class_Ozero(T_a))))))),
% 33.83/4.76 inference(NNF_transformation,[status(esa)],[f1495])).
% 33.83/4.76 fof(f1497,plain,(
% 33.83/4.76 ![T_a]: (~class_Fields_Ofield__inverse__zero(T_a)|((![V_a_2,V_ca_2,V_b_2]: (~c_Rings_Oinverse__class_Odivide(T_a,V_b_2,V_ca_2)=V_a_2|((V_ca_2=c_Groups_Ozero__class_Ozero(T_a)|V_b_2=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2))&(~V_ca_2=c_Groups_Ozero__class_Ozero(T_a)|V_a_2=c_Groups_Ozero__class_Ozero(T_a)))))&(![V_a_2,V_ca_2,V_b_2]: (c_Rings_Oinverse__class_Odivide(T_a,V_b_2,V_ca_2)=V_a_2|((~V_ca_2=c_Groups_Ozero__class_Ozero(T_a)&~V_b_2=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2))|(V_ca_2=c_Groups_Ozero__class_Ozero(T_a)&~V_a_2=c_Groups_Ozero__class_Ozero(T_a)))))))),
% 33.83/4.76 inference(miniscoping,[status(esa)],[f1496])).
% 33.83/4.76 fof(f1502,plain,(
% 33.83/4.76 ![X0,X1,X2,X3]: (~class_Fields_Ofield__inverse__zero(X0)|c_Rings_Oinverse__class_Odivide(X0,X1,X2)=X3|~X1=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)|X2=c_Groups_Ozero__class_Ozero(X0))),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1497])).
% 33.83/4.76 fof(f1516,plain,(
% 33.83/4.76 ![V_b,V_a,T_a]: (~class_Rings_Odivision__ring(T_a)|(~hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)=c_Groups_Oone__class_Oone(T_a)|c_Rings_Oinverse__class_Oinverse(T_a,V_a)=V_b))),
% 33.83/4.76 inference(pre_NNF_transformation,[status(esa)],[f78])).
% 33.83/4.76 fof(f1517,plain,(
% 33.83/4.76 ![T_a]: (~class_Rings_Odivision__ring(T_a)|(![V_b,V_a]: (~hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)=c_Groups_Oone__class_Oone(T_a)|c_Rings_Oinverse__class_Oinverse(T_a,V_a)=V_b)))),
% 33.83/4.76 inference(miniscoping,[status(esa)],[f1516])).
% 33.83/4.76 fof(f1518,plain,(
% 33.83/4.76 ![X0,X1,X2]: (~class_Rings_Odivision__ring(X0)|~hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)=c_Groups_Oone__class_Oone(X0)|c_Rings_Oinverse__class_Oinverse(X0,X1)=X2)),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1517])).
% 33.83/4.76 fof(f1637,plain,(
% 33.83/4.76 ![V_a_2,T_a]: (~class_Rings_Odivision__ring__inverse__zero(T_a)|(c_Rings_Oinverse__class_Oinverse(T_a,V_a_2)=c_Groups_Ozero__class_Ozero(T_a)<=>V_a_2=c_Groups_Ozero__class_Ozero(T_a)))),
% 33.83/4.76 inference(pre_NNF_transformation,[status(esa)],[f110])).
% 33.83/4.76 fof(f1638,plain,(
% 33.83/4.76 ![V_a_2,T_a]: (~class_Rings_Odivision__ring__inverse__zero(T_a)|((~c_Rings_Oinverse__class_Oinverse(T_a,V_a_2)=c_Groups_Ozero__class_Ozero(T_a)|V_a_2=c_Groups_Ozero__class_Ozero(T_a))&(c_Rings_Oinverse__class_Oinverse(T_a,V_a_2)=c_Groups_Ozero__class_Ozero(T_a)|~V_a_2=c_Groups_Ozero__class_Ozero(T_a))))),
% 33.83/4.76 inference(NNF_transformation,[status(esa)],[f1637])).
% 33.83/4.76 fof(f1639,plain,(
% 33.83/4.76 ![T_a]: (~class_Rings_Odivision__ring__inverse__zero(T_a)|((![V_a_2]: (~c_Rings_Oinverse__class_Oinverse(T_a,V_a_2)=c_Groups_Ozero__class_Ozero(T_a)|V_a_2=c_Groups_Ozero__class_Ozero(T_a)))&(![V_a_2]: (c_Rings_Oinverse__class_Oinverse(T_a,V_a_2)=c_Groups_Ozero__class_Ozero(T_a)|~V_a_2=c_Groups_Ozero__class_Ozero(T_a)))))),
% 33.83/4.76 inference(miniscoping,[status(esa)],[f1638])).
% 33.83/4.76 fof(f1640,plain,(
% 33.83/4.76 ![X0,X1]: (~class_Rings_Odivision__ring__inverse__zero(X0)|~c_Rings_Oinverse__class_Oinverse(X0,X1)=c_Groups_Ozero__class_Ozero(X0)|X1=c_Groups_Ozero__class_Ozero(X0))),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1639])).
% 33.83/4.76 fof(f1641,plain,(
% 33.83/4.76 ![X0,X1]: (~class_Rings_Odivision__ring__inverse__zero(X0)|c_Rings_Oinverse__class_Oinverse(X0,X1)=c_Groups_Ozero__class_Ozero(X0)|~X1=c_Groups_Ozero__class_Ozero(X0))),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1639])).
% 33.83/4.76 fof(f1644,plain,(
% 33.83/4.76 ![T_a]: (~class_Fields_Ofield__inverse__zero(T_a)|c_Rings_Oinverse__class_Oinverse(T_a,c_Groups_Ozero__class_Ozero(T_a))=c_Groups_Ozero__class_Ozero(T_a))),
% 33.83/4.76 inference(pre_NNF_transformation,[status(esa)],[f112])).
% 33.83/4.76 fof(f1645,plain,(
% 33.83/4.76 ![X0]: (~class_Fields_Ofield__inverse__zero(X0)|c_Rings_Oinverse__class_Oinverse(X0,c_Groups_Ozero__class_Ozero(X0))=c_Groups_Ozero__class_Ozero(X0))),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1644])).
% 33.83/4.76 fof(f1649,plain,(
% 33.83/4.76 ![V_x_2,T_a]: (~class_Fields_Ofield__inverse__zero(T_a)|(c_Rings_Oinverse__class_Oinverse(T_a,V_x_2)=c_Groups_Oone__class_Oone(T_a)<=>V_x_2=c_Groups_Oone__class_Oone(T_a)))),
% 33.83/4.76 inference(pre_NNF_transformation,[status(esa)],[f114])).
% 33.83/4.76 fof(f1650,plain,(
% 33.83/4.76 ![V_x_2,T_a]: (~class_Fields_Ofield__inverse__zero(T_a)|((~c_Rings_Oinverse__class_Oinverse(T_a,V_x_2)=c_Groups_Oone__class_Oone(T_a)|V_x_2=c_Groups_Oone__class_Oone(T_a))&(c_Rings_Oinverse__class_Oinverse(T_a,V_x_2)=c_Groups_Oone__class_Oone(T_a)|~V_x_2=c_Groups_Oone__class_Oone(T_a))))),
% 33.83/4.76 inference(NNF_transformation,[status(esa)],[f1649])).
% 33.83/4.76 fof(f1651,plain,(
% 33.83/4.76 ![T_a]: (~class_Fields_Ofield__inverse__zero(T_a)|((![V_x_2]: (~c_Rings_Oinverse__class_Oinverse(T_a,V_x_2)=c_Groups_Oone__class_Oone(T_a)|V_x_2=c_Groups_Oone__class_Oone(T_a)))&(![V_x_2]: (c_Rings_Oinverse__class_Oinverse(T_a,V_x_2)=c_Groups_Oone__class_Oone(T_a)|~V_x_2=c_Groups_Oone__class_Oone(T_a)))))),
% 33.83/4.76 inference(miniscoping,[status(esa)],[f1650])).
% 33.83/4.76 fof(f1652,plain,(
% 33.83/4.76 ![X0,X1]: (~class_Fields_Ofield__inverse__zero(X0)|~c_Rings_Oinverse__class_Oinverse(X0,X1)=c_Groups_Oone__class_Oone(X0)|X1=c_Groups_Oone__class_Oone(X0))),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1651])).
% 33.83/4.76 fof(f1654,plain,(
% 33.83/4.76 ![T_a]: (~class_Rings_Odivision__ring(T_a)|c_Rings_Oinverse__class_Oinverse(T_a,c_Groups_Oone__class_Oone(T_a))=c_Groups_Oone__class_Oone(T_a))),
% 33.83/4.76 inference(pre_NNF_transformation,[status(esa)],[f115])).
% 33.83/4.76 fof(f1655,plain,(
% 33.83/4.76 ![X0]: (~class_Rings_Odivision__ring(X0)|c_Rings_Oinverse__class_Oinverse(X0,c_Groups_Oone__class_Oone(X0))=c_Groups_Oone__class_Oone(X0))),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1654])).
% 33.83/4.76 fof(f1665,plain,(
% 33.83/4.76 ![T_a]: (~class_Rings_Olinordered__semidom(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oone__class_Oone(T_a)))),
% 33.83/4.76 inference(pre_NNF_transformation,[status(esa)],[f119])).
% 33.83/4.76 fof(f1666,plain,(
% 33.83/4.76 ![X0]: (~class_Rings_Olinordered__semidom(X0)|c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oone__class_Oone(X0)))),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1665])).
% 33.83/4.76 fof(f1667,plain,(
% 33.83/4.76 ![T_a]: (~class_Rings_Olinordered__semidom(T_a)|~c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(T_a)))),
% 33.83/4.76 inference(pre_NNF_transformation,[status(esa)],[f120])).
% 33.83/4.76 fof(f1668,plain,(
% 33.83/4.76 ![X0]: (~class_Rings_Olinordered__semidom(X0)|~c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(X0)))),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1667])).
% 33.83/4.76 fof(f1759,plain,(
% 33.83/4.76 ![X0,X1]: (c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,X1)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,X1)))),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f144])).
% 33.83/4.76 fof(f1796,plain,(
% 33.83/4.76 ~hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f156])).
% 33.83/4.76 fof(f1838,plain,(
% 33.83/4.76 hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)=hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f168])).
% 33.83/4.76 fof(f1843,plain,(
% 33.83/4.76 ![V_x]: (V_x=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,V_x)),V_x)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 33.83/4.76 inference(pre_NNF_transformation,[status(esa)],[f171])).
% 33.83/4.76 fof(f1844,plain,(
% 33.83/4.76 ![X0]: (X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)),X0)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1843])).
% 33.83/4.76 fof(f1848,plain,(
% 33.83/4.76 ![V_u,V_y,V_x1,V_x]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)|(~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x1)|(~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x1),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x),V_u))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_u),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,V_x1))))))),
% 33.83/4.76 inference(pre_NNF_transformation,[status(esa)],[f173])).
% 33.83/4.76 fof(f1849,plain,(
% 33.83/4.76 ![V_x]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)|(![V_x1]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x1)|(![V_u,V_y]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x1),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x),V_u))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_u),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,V_x1))))))))),
% 33.83/4.76 inference(miniscoping,[status(esa)],[f1848])).
% 33.83/4.76 fof(f1850,plain,(
% 33.83/4.76 ![X0,X1,X2,X3]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X3))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1))))),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1849])).
% 33.83/4.76 fof(f1851,plain,(
% 33.83/4.76 ![X0,X1]: (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1)))),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f174])).
% 33.83/4.76 fof(f1855,plain,(
% 33.83/4.76 ![V_y_2,V_x_2]: ((~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2)|(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2)&~V_x_2=V_y_2))&(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2)|(~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2)|V_x_2=V_y_2)))),
% 33.83/4.76 inference(NNF_transformation,[status(esa)],[f178])).
% 33.83/4.76 fof(f1856,plain,(
% 33.83/4.76 (![V_y_2,V_x_2]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2)|(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2)&~V_x_2=V_y_2)))&(![V_y_2,V_x_2]: (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2)|(~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2)|V_x_2=V_y_2)))),
% 33.83/4.76 inference(miniscoping,[status(esa)],[f1855])).
% 33.83/4.76 fof(f1857,plain,(
% 33.83/4.76 ![X0,X1]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1))),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1856])).
% 33.83/4.76 fof(f1858,plain,(
% 33.83/4.76 ![X0,X1]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)|~X0=X1)),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1856])).
% 33.83/4.76 fof(f1859,plain,(
% 33.83/4.76 ![X0,X1]: (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|X0=X1)),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1856])).
% 33.83/4.76 fof(f1860,plain,(
% 33.83/4.76 ![V_y_2,V_x_2]: ((~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2)|(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2)|V_x_2=V_y_2))&(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2)|(~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2)&~V_x_2=V_y_2)))),
% 33.83/4.76 inference(NNF_transformation,[status(esa)],[f179])).
% 33.83/4.76 fof(f1861,plain,(
% 33.83/4.76 (![V_y_2,V_x_2]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2)|(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2)|V_x_2=V_y_2)))&(![V_y_2,V_x_2]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2)|(~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2)&~V_x_2=V_y_2)))),
% 33.83/4.76 inference(miniscoping,[status(esa)],[f1860])).
% 33.83/4.76 fof(f1864,plain,(
% 33.83/4.76 ![X0,X1]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|~X0=X1)),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1861])).
% 33.83/4.76 fof(f1866,plain,(
% 33.83/4.76 ![X0,X1]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0))),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f181])).
% 33.83/4.76 fof(f1867,plain,(
% 33.83/4.76 ![V_k,V_j,V_i]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i,V_j)|(~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_j,V_k)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i,V_k)))),
% 33.83/4.76 inference(pre_NNF_transformation,[status(esa)],[f182])).
% 33.83/4.76 fof(f1868,plain,(
% 33.83/4.76 ![V_j,V_i]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i,V_j)|(![V_k]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_j,V_k)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i,V_k))))),
% 33.83/4.76 inference(miniscoping,[status(esa)],[f1867])).
% 33.83/4.76 fof(f1869,plain,(
% 33.83/4.76 ![X0,X1,X2]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X2))),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1868])).
% 33.83/4.76 fof(f1870,plain,(
% 33.83/4.76 ![V_w,V_z]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_z,V_w)|(~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w,V_z)|V_z=V_w))),
% 33.83/4.76 inference(pre_NNF_transformation,[status(esa)],[f183])).
% 33.83/4.76 fof(f1871,plain,(
% 33.83/4.76 ![X0,X1]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)|X0=X1)),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1870])).
% 33.83/4.76 fof(f1872,plain,(
% 33.83/4.76 ![V_y_2,V_x_2]: ((~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,V_x_2,V_y_2))|((c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_y_2))&(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x_2)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_y_2,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))))&(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,V_x_2,V_y_2))|((~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))&~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_y_2))|(~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x_2)&~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_y_2,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))))))),
% 33.83/4.76 inference(NNF_transformation,[status(esa)],[f184])).
% 33.83/4.76 fof(f1873,plain,(
% 33.83/4.76 (![V_y_2,V_x_2]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,V_x_2,V_y_2))|((c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_y_2))&(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x_2)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_y_2,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))))))&(![V_y_2,V_x_2]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,V_x_2,V_y_2))|((~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))&~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_y_2))|(~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x_2)&~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_y_2,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))))))),
% 33.83/4.76 inference(miniscoping,[status(esa)],[f1872])).
% 33.83/4.76 fof(f1874,plain,(
% 33.83/4.76 ![X0,X1]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1))),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1873])).
% 33.83/4.76 fof(f1875,plain,(
% 33.83/4.76 ![X0,X1]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1873])).
% 33.83/4.76 fof(f1876,plain,(
% 33.83/4.76 ![X0,X1]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0))),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1873])).
% 33.83/4.76 fof(f1879,plain,(
% 33.83/4.76 ![X0,X1]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1873])).
% 33.83/4.76 fof(f1983,plain,(
% 33.83/4.76 ![V_y_2,V_x_2,V_z_2]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)|(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z_2),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z_2),V_y_2))<=>c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2)))),
% 33.83/4.76 inference(pre_NNF_transformation,[status(esa)],[f210])).
% 33.83/4.76 fof(f1984,plain,(
% 33.83/4.76 ![V_y_2,V_x_2,V_z_2]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)|((~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z_2),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z_2),V_y_2))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2))&(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z_2),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z_2),V_y_2))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2))))),
% 33.83/4.76 inference(NNF_transformation,[status(esa)],[f1983])).
% 33.83/4.76 fof(f1985,plain,(
% 33.83/4.76 ![V_z_2]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)|((![V_y_2,V_x_2]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z_2),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z_2),V_y_2))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2)))&(![V_y_2,V_x_2]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z_2),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z_2),V_y_2))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2)))))),
% 33.83/4.76 inference(miniscoping,[status(esa)],[f1984])).
% 33.83/4.76 fof(f1986,plain,(
% 33.83/4.76 ![X0,X1,X2]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2))),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1985])).
% 33.83/4.76 fof(f1988,plain,(
% 33.83/4.76 ![V_y_2,V_x_2,V_z_2]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)|(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x_2),V_z_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y_2),V_z_2))<=>c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2)))),
% 33.83/4.76 inference(pre_NNF_transformation,[status(esa)],[f211])).
% 33.83/4.76 fof(f1989,plain,(
% 33.83/4.76 ![V_y_2,V_x_2,V_z_2]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)|((~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x_2),V_z_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y_2),V_z_2))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2))&(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x_2),V_z_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y_2),V_z_2))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2))))),
% 33.83/4.76 inference(NNF_transformation,[status(esa)],[f1988])).
% 33.83/4.76 fof(f1990,plain,(
% 33.83/4.76 ![V_z_2]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)|((![V_y_2,V_x_2]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x_2),V_z_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y_2),V_z_2))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2)))&(![V_y_2,V_x_2]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x_2),V_z_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y_2),V_z_2))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2)))))),
% 33.83/4.76 inference(miniscoping,[status(esa)],[f1989])).
% 33.83/4.76 fof(f1991,plain,(
% 33.83/4.76 ![X0,X1,X2]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X0))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2))),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1990])).
% 33.83/4.76 fof(f2089,plain,(
% 33.83/4.76 ![X0,X1,X2]: (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1)),X2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2)))),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f241])).
% 33.83/4.76 fof(f2090,plain,(
% 33.83/4.76 ![X0,X1]: (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0))),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f242])).
% 33.83/4.76 fof(f2160,plain,(
% 33.83/4.76 ![V_b_2,V_a_2,V_ca_2]: (V_ca_2=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_ca_2),V_a_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_ca_2),V_b_2)<=>V_a_2=V_b_2))),
% 33.83/4.76 inference(pre_NNF_transformation,[status(esa)],[f256])).
% 33.83/4.76 fof(f2161,plain,(
% 33.83/4.76 ![V_b_2,V_a_2,V_ca_2]: (V_ca_2=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|((~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_ca_2),V_a_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_ca_2),V_b_2)|V_a_2=V_b_2)&(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_ca_2),V_a_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_ca_2),V_b_2)|~V_a_2=V_b_2)))),
% 33.83/4.76 inference(NNF_transformation,[status(esa)],[f2160])).
% 33.83/4.76 fof(f2162,plain,(
% 33.83/4.76 ![V_ca_2]: (V_ca_2=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|((![V_b_2,V_a_2]: (~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_ca_2),V_a_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_ca_2),V_b_2)|V_a_2=V_b_2))&(![V_b_2,V_a_2]: (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_ca_2),V_a_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_ca_2),V_b_2)|~V_a_2=V_b_2))))),
% 33.83/4.76 inference(miniscoping,[status(esa)],[f2161])).
% 33.83/4.76 fof(f2163,plain,(
% 33.83/4.76 ![X0,X1,X2]: (X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2)|X1=X2)),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f2162])).
% 33.83/4.76 fof(f2165,plain,(
% 33.83/4.76 ![V_b_2,V_a_2,V_ca_2]: (V_ca_2=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_a_2),V_ca_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_b_2),V_ca_2)<=>V_a_2=V_b_2))),
% 33.83/4.76 inference(pre_NNF_transformation,[status(esa)],[f257])).
% 33.83/4.76 fof(f2166,plain,(
% 33.83/4.76 ![V_b_2,V_a_2,V_ca_2]: (V_ca_2=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|((~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_a_2),V_ca_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_b_2),V_ca_2)|V_a_2=V_b_2)&(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_a_2),V_ca_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_b_2),V_ca_2)|~V_a_2=V_b_2)))),
% 33.83/4.76 inference(NNF_transformation,[status(esa)],[f2165])).
% 33.83/4.76 fof(f2167,plain,(
% 33.83/4.76 ![V_ca_2]: (V_ca_2=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|((![V_b_2,V_a_2]: (~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_a_2),V_ca_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_b_2),V_ca_2)|V_a_2=V_b_2))&(![V_b_2,V_a_2]: (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_a_2),V_ca_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_b_2),V_ca_2)|~V_a_2=V_b_2))))),
% 33.83/4.76 inference(miniscoping,[status(esa)],[f2166])).
% 33.83/4.76 fof(f2168,plain,(
% 33.83/4.76 ![X0,X1,X2]: (X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X0)|X1=X2)),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f2167])).
% 33.83/4.76 fof(f2170,plain,(
% 33.83/4.76 ~c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f258])).
% 33.83/4.76 fof(f2171,plain,(
% 33.83/4.76 ![X0]: (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0)=X0)),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f259])).
% 33.83/4.76 fof(f2173,plain,(
% 33.83/4.76 ![V_y_2,V_x_2,V_z_2]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)|(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x_2),V_z_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y_2),V_z_2))<=>c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2)))),
% 33.83/4.76 inference(pre_NNF_transformation,[status(esa)],[f261])).
% 33.83/4.76 fof(f2174,plain,(
% 33.83/4.76 ![V_y_2,V_x_2,V_z_2]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)|((~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x_2),V_z_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y_2),V_z_2))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2))&(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x_2),V_z_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y_2),V_z_2))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2))))),
% 33.83/4.76 inference(NNF_transformation,[status(esa)],[f2173])).
% 33.83/4.76 fof(f2175,plain,(
% 33.83/4.76 ![V_z_2]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)|((![V_y_2,V_x_2]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x_2),V_z_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y_2),V_z_2))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2)))&(![V_y_2,V_x_2]: (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x_2),V_z_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y_2),V_z_2))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2)))))),
% 33.83/4.76 inference(miniscoping,[status(esa)],[f2174])).
% 33.83/4.76 fof(f2176,plain,(
% 33.83/4.76 ![X0,X1,X2]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X0))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2))),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f2175])).
% 33.83/4.76 fof(f2181,plain,(
% 33.83/4.76 ![V_y,V_x,V_z]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z)|(~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,V_y)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z),V_y))))),
% 33.83/4.76 inference(pre_NNF_transformation,[status(esa)],[f263])).
% 33.83/4.76 fof(f2182,plain,(
% 33.83/4.76 ![V_z]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z)|(![V_y,V_x]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,V_y)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z),V_y)))))),
% 33.83/4.76 inference(miniscoping,[status(esa)],[f2181])).
% 33.83/4.76 fof(f2183,plain,(
% 33.83/4.76 ![X0,X1,X2]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2)))),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f2182])).
% 33.83/4.76 fof(f2665,plain,(
% 33.83/4.76 ![X0]: (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f406])).
% 33.83/4.76 fof(f2671,plain,(
% 33.83/4.76 ![V_n_2,V_m_2,V_k_2]: ((~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)|(V_m_2=V_n_2|V_k_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))&(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)|(~V_m_2=V_n_2&~V_k_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
% 33.83/4.76 inference(NNF_transformation,[status(esa)],[f408])).
% 33.83/4.76 fof(f2672,plain,(
% 33.83/4.76 (![V_n_2,V_m_2,V_k_2]: (~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)|(V_m_2=V_n_2|V_k_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))&(![V_n_2,V_m_2,V_k_2]: (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)|(~V_m_2=V_n_2&~V_k_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
% 33.83/4.76 inference(miniscoping,[status(esa)],[f2671])).
% 33.83/4.76 fof(f2673,plain,(
% 33.83/4.76 ![X0,X1,X2]: (~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)|X1=X2|X0=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f2672])).
% 33.83/4.76 fof(f2681,plain,(
% 33.83/4.76 ![V_n,V_m]: (~V_m=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)|(V_n=c_Groups_Oone__class_Oone(tc_Nat_Onat)|V_m=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
% 33.83/4.76 inference(pre_NNF_transformation,[status(esa)],[f410])).
% 33.83/4.76 fof(f2682,plain,(
% 33.83/4.76 ![X0,X1]: (~X0=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)|X1=c_Groups_Oone__class_Oone(tc_Nat_Onat)|X0=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f2681])).
% 33.83/4.76 fof(f2843,plain,(
% 33.83/4.76 ![V_y_2,V_x_2,T_a]: (~class_Rings_Olinordered__ring__strict(T_a)|(c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2))=c_Groups_Ozero__class_Ozero(T_a)<=>(V_x_2=c_Groups_Ozero__class_Ozero(T_a)&V_y_2=c_Groups_Ozero__class_Ozero(T_a))))),
% 33.83/4.76 inference(pre_NNF_transformation,[status(esa)],[f457])).
% 33.83/4.76 fof(f2844,plain,(
% 33.83/4.76 ![V_y_2,V_x_2,T_a]: (~class_Rings_Olinordered__ring__strict(T_a)|((~c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2))=c_Groups_Ozero__class_Ozero(T_a)|(V_x_2=c_Groups_Ozero__class_Ozero(T_a)&V_y_2=c_Groups_Ozero__class_Ozero(T_a)))&(c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2))=c_Groups_Ozero__class_Ozero(T_a)|(~V_x_2=c_Groups_Ozero__class_Ozero(T_a)|~V_y_2=c_Groups_Ozero__class_Ozero(T_a)))))),
% 33.83/4.76 inference(NNF_transformation,[status(esa)],[f2843])).
% 33.83/4.76 fof(f2845,plain,(
% 33.83/4.76 ![T_a]: (~class_Rings_Olinordered__ring__strict(T_a)|((![V_y_2,V_x_2]: (~c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2))=c_Groups_Ozero__class_Ozero(T_a)|(V_x_2=c_Groups_Ozero__class_Ozero(T_a)&V_y_2=c_Groups_Ozero__class_Ozero(T_a))))&(![V_y_2,V_x_2]: (c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2))=c_Groups_Ozero__class_Ozero(T_a)|(~V_x_2=c_Groups_Ozero__class_Ozero(T_a)|~V_y_2=c_Groups_Ozero__class_Ozero(T_a))))))),
% 33.83/4.76 inference(miniscoping,[status(esa)],[f2844])).
% 33.83/4.76 fof(f2846,plain,(
% 33.83/4.76 ![X0,X1,X2]: (~class_Rings_Olinordered__ring__strict(X0)|~c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2))=c_Groups_Ozero__class_Ozero(X0)|X1=c_Groups_Ozero__class_Ozero(X0))),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f2845])).
% 33.83/4.76 fof(f2847,plain,(
% 33.83/4.76 ![X0,X1,X2]: (~class_Rings_Olinordered__ring__strict(X0)|~c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2))=c_Groups_Ozero__class_Ozero(X0)|X2=c_Groups_Ozero__class_Ozero(X0))),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f2845])).
% 33.83/4.76 fof(f2920,plain,(
% 33.83/4.76 ![X0,X1]: (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0))),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f485])).
% 33.83/4.76 fof(f2927,plain,(
% 33.83/4.76 ![X0]: (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X0)=X0)),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f488])).
% 33.83/4.76 fof(f3070,plain,(
% 33.83/4.76 ![V_p,V_r]: (?[B_m]: (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_m)&(![B_z]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z),V_r)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,V_p),B_z)),B_m)))))),
% 33.83/4.76 inference(pre_NNF_transformation,[status(esa)],[f533])).
% 33.83/4.76 fof(f3071,plain,(
% 33.83/4.76 ![V_p,V_r]: (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk0_18(V_r,V_p))&(![B_z]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z),V_r)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,V_p),B_z)),sk0_18(V_r,V_p)))))),
% 33.83/4.76 inference(skolemization,[status(esa)],[f3070])).
% 33.83/4.76 fof(f3072,plain,(
% 33.83/4.76 ![X0,X1]: (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk0_18(X0,X1)))),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f3071])).
% 33.83/4.76 fof(f3164,plain,(
% 33.83/4.76 c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f563])).
% 33.83/4.76 fof(f3188,plain,(
% 33.83/4.76 c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f573])).
% 33.83/4.76 fof(f3530,plain,(
% 33.83/4.76 ![X0]: (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X0)=X0)),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f684])).
% 33.83/4.76 fof(f3532,plain,(
% 33.83/4.76 ![X0,X1]: (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X0))),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f686])).
% 33.83/4.76 fof(f3537,plain,(
% 33.83/4.76 ![V_n_2,V_m_2]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_m_2)|(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2)=c_Groups_Oone__class_Oone(tc_Int_Oint)<=>(V_m_2=c_Groups_Oone__class_Oone(tc_Int_Oint)&V_n_2=c_Groups_Oone__class_Oone(tc_Int_Oint))))),
% 33.83/4.76 inference(pre_NNF_transformation,[status(esa)],[f689])).
% 33.83/4.76 fof(f3538,plain,(
% 33.83/4.76 ![V_n_2,V_m_2]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_m_2)|((~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2)=c_Groups_Oone__class_Oone(tc_Int_Oint)|(V_m_2=c_Groups_Oone__class_Oone(tc_Int_Oint)&V_n_2=c_Groups_Oone__class_Oone(tc_Int_Oint)))&(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2)=c_Groups_Oone__class_Oone(tc_Int_Oint)|(~V_m_2=c_Groups_Oone__class_Oone(tc_Int_Oint)|~V_n_2=c_Groups_Oone__class_Oone(tc_Int_Oint)))))),
% 33.83/4.76 inference(NNF_transformation,[status(esa)],[f3537])).
% 33.83/4.76 fof(f3539,plain,(
% 33.83/4.76 ![V_m_2]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_m_2)|((![V_n_2]: (~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2)=c_Groups_Oone__class_Oone(tc_Int_Oint)|(V_m_2=c_Groups_Oone__class_Oone(tc_Int_Oint)&V_n_2=c_Groups_Oone__class_Oone(tc_Int_Oint))))&(![V_n_2]: (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2)=c_Groups_Oone__class_Oone(tc_Int_Oint)|(~V_m_2=c_Groups_Oone__class_Oone(tc_Int_Oint)|~V_n_2=c_Groups_Oone__class_Oone(tc_Int_Oint))))))),
% 33.83/4.76 inference(miniscoping,[status(esa)],[f3538])).
% 33.83/4.76 fof(f3541,plain,(
% 33.83/4.76 ![X0,X1]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)|~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1)=c_Groups_Oone__class_Oone(tc_Int_Oint)|X1=c_Groups_Oone__class_Oone(tc_Int_Oint))),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f3539])).
% 33.83/4.76 fof(f3645,plain,(
% 33.83/4.76 c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f719])).
% 33.83/4.76 fof(f3646,plain,(
% 33.83/4.76 ~c_Groups_Ozero__class_Ozero(tc_Int_Oint)=c_Groups_Oone__class_Oone(tc_Int_Oint)),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f720])).
% 33.83/4.76 fof(f4524,plain,(
% 33.83/4.76 class_Rings_Olinordered__ring__strict(tc_Int_Oint)),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1017])).
% 33.83/4.76 fof(f4525,plain,(
% 33.83/4.76 class_Rings_Oring__no__zero__divisors(tc_Int_Oint)),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1018])).
% 33.83/4.76 fof(f4536,plain,(
% 33.83/4.76 class_Rings_Ono__zero__divisors(tc_Int_Oint)),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1029])).
% 33.83/4.76 fof(f4585,plain,(
% 33.83/4.76 class_Rings_Ono__zero__divisors(tc_Nat_Onat)),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1078])).
% 33.83/4.76 fof(f4616,plain,(
% 33.83/4.76 class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal)),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1109])).
% 33.83/4.76 fof(f4617,plain,(
% 33.83/4.76 class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal)),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1110])).
% 33.83/4.76 fof(f4619,plain,(
% 33.83/4.76 class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal)),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1112])).
% 33.83/4.76 fof(f4623,plain,(
% 33.83/4.76 class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal)),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1116])).
% 33.83/4.76 fof(f4626,plain,(
% 33.83/4.76 class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal)),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1119])).
% 33.83/4.76 fof(f4628,plain,(
% 33.83/4.76 class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal)),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1121])).
% 33.83/4.76 fof(f4634,plain,(
% 33.83/4.76 class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal)),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1127])).
% 33.83/4.76 fof(f4635,plain,(
% 33.83/4.76 class_Rings_Olinordered__semidom(tc_RealDef_Oreal)),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1128])).
% 33.83/4.76 fof(f4641,plain,(
% 33.83/4.76 class_Rings_Ono__zero__divisors(tc_RealDef_Oreal)),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1134])).
% 33.83/4.76 fof(f4645,plain,(
% 33.83/4.76 class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal)),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1138])).
% 33.83/4.76 fof(f4648,plain,(
% 33.83/4.76 class_Rings_Odivision__ring(tc_RealDef_Oreal)),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1141])).
% 33.83/4.76 fof(f4676,plain,(
% 33.83/4.76 class_Rings_Odivision__ring__inverse__zero(tc_Complex_Ocomplex)),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1169])).
% 33.83/4.76 fof(f4677,plain,(
% 33.83/4.76 class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex)),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1170])).
% 33.83/4.76 fof(f4678,plain,(
% 33.83/4.76 class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex)),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1171])).
% 33.83/4.76 fof(f4680,plain,(
% 33.83/4.76 class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex)),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1173])).
% 33.83/4.76 fof(f4683,plain,(
% 33.83/4.76 class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex)),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1176])).
% 33.83/4.76 fof(f4685,plain,(
% 33.83/4.76 class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex)),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1178])).
% 33.83/4.76 fof(f4689,plain,(
% 33.83/4.76 class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex)),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1182])).
% 33.83/4.76 fof(f4691,plain,(
% 33.83/4.76 class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex)),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1184])).
% 33.83/4.76 fof(f4694,plain,(
% 33.83/4.76 class_Rings_Odivision__ring(tc_Complex_Ocomplex)),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f1187])).
% 33.83/4.76 fof(f4827,plain,(
% 33.83/4.76 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),v_w____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))<~>c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
% 33.83/4.76 inference(pre_NNF_transformation,[status(esa)],[f1265])).
% 33.83/4.76 fof(f4828,plain,(
% 33.83/4.76 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),v_w____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))&(~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),v_w____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
% 33.83/4.76 inference(NNF_transformation,[status(esa)],[f4827])).
% 33.83/4.76 fof(f4829,plain,(
% 33.83/4.76 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),v_w____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f4828])).
% 33.83/4.76 fof(f4830,plain,(
% 33.83/4.76 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),v_w____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 33.83/4.76 inference(cnf_transformation,[status(esa)],[f4828])).
% 33.83/4.76 fof(f4912,plain,(
% 33.83/4.76 spl0_0 <=> hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),
% 33.83/4.76 introduced(split_symbol_definition)).
% 33.83/4.76 fof(f4913,plain,(
% 33.83/4.76 hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_0),
% 33.83/4.76 inference(component_clause,[status(thm)],[f4912])).
% 33.83/4.76 fof(f4919,plain,(
% 33.83/4.76 spl0_2 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),v_w____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 33.83/4.76 introduced(split_symbol_definition)).
% 33.83/4.76 fof(f4920,plain,(
% 33.83/4.76 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),v_w____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~spl0_2),
% 33.83/4.76 inference(component_clause,[status(thm)],[f4919])).
% 33.83/4.76 fof(f4921,plain,(
% 33.83/4.76 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),v_w____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|spl0_2),
% 33.83/4.76 inference(component_clause,[status(thm)],[f4919])).
% 33.83/4.76 fof(f4922,plain,(
% 33.83/4.76 spl0_3 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 33.83/4.76 introduced(split_symbol_definition)).
% 33.83/4.76 fof(f4923,plain,(
% 33.83/4.76 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~spl0_3),
% 33.83/4.76 inference(component_clause,[status(thm)],[f4922])).
% 33.83/4.76 fof(f4924,plain,(
% 33.83/4.76 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|spl0_3),
% 33.83/4.76 inference(component_clause,[status(thm)],[f4922])).
% 33.83/4.76 fof(f4925,plain,(
% 33.83/4.76 spl0_2|spl0_3),
% 33.83/4.76 inference(split_clause,[status(thm)],[f4829,f4919,f4922])).
% 33.83/4.76 fof(f4926,plain,(
% 33.83/4.76 ~spl0_2|~spl0_3),
% 33.83/4.76 inference(split_clause,[status(thm)],[f4830,f4919,f4922])).
% 33.83/4.76 fof(f4931,plain,(
% 33.83/4.76 ![X0]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X0))),
% 33.83/4.76 inference(destructive_equality_resolution,[status(esa)],[f1858])).
% 33.83/4.76 fof(f4932,plain,(
% 33.83/4.76 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X0))),
% 33.83/4.76 inference(destructive_equality_resolution,[status(esa)],[f1864])).
% 33.83/4.76 fof(f4992,plain,(
% 33.83/4.76 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)),v_w____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|spl0_2),
% 33.83/4.76 inference(forward_demodulation,[status(thm)],[f1838,f4921])).
% 33.83/4.76 fof(f4993,plain,(
% 33.83/4.76 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~spl0_3),
% 33.83/4.76 inference(forward_demodulation,[status(thm)],[f1838,f4923])).
% 33.83/4.76 fof(f4996,plain,(
% 33.83/4.76 ![X0]: (hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),X0)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),X0)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)))),
% 33.83/4.76 inference(backward_demodulation,[status(thm)],[f1838,f1280])).
% 33.83/4.76 fof(f4997,plain,(
% 33.83/4.76 ![X0]: (hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),X0)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)),X0)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)))),
% 33.83/4.76 inference(forward_demodulation,[status(thm)],[f1838,f4996])).
% 33.83/4.76 fof(f5004,plain,(
% 33.83/4.76 ![X0,X1,X2,X3]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X3))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X3,X1)))),
% 33.83/4.76 inference(backward_demodulation,[status(thm)],[f1851,f1850])).
% 33.83/4.76 fof(f5005,plain,(
% 33.83/4.76 ![X0,X1,X2,X3]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X3))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X2,X0),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X3,X1)))),
% 33.83/4.76 inference(forward_demodulation,[status(thm)],[f1851,f5004])).
% 33.83/4.76 fof(f5007,plain,(
% 33.83/4.76 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~spl0_3),
% 33.83/4.76 inference(resolution,[status(thm)],[f1857,f4993])).
% 33.83/4.76 fof(f5009,plain,(
% 33.83/4.76 ![X0,X1]: (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1)),X0))),
% 33.83/4.76 inference(paramodulation,[status(thm)],[f1851,f2090])).
% 33.83/4.76 fof(f5018,plain,(
% 33.83/4.76 spl0_4 <=> c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 33.83/4.76 introduced(split_symbol_definition)).
% 33.83/4.76 fof(f5029,plain,(
% 33.83/4.76 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)),v_w____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~spl0_2),
% 33.83/4.76 inference(forward_demodulation,[status(thm)],[f1838,f4920])).
% 33.83/4.76 fof(f5030,plain,(
% 33.83/4.76 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|spl0_3),
% 33.83/4.76 inference(forward_demodulation,[status(thm)],[f1838,f4924])).
% 33.83/4.76 fof(f5032,plain,(
% 33.83/4.76 ![X0]: (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X0)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 33.83/4.76 inference(paramodulation,[status(thm)],[f1844,f5009])).
% 33.83/4.76 fof(f5043,plain,(
% 33.83/4.76 ![X0,X1,X2]: (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X0)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)),X2)|X1=X2)),
% 33.83/4.76 inference(paramodulation,[status(thm)],[f5009,f2163])).
% 33.83/4.76 fof(f5044,plain,(
% 33.83/4.76 ![X0,X1]: (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)),X1)|X0=X1|X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 33.83/4.76 inference(paramodulation,[status(thm)],[f1844,f2163])).
% 33.83/4.76 fof(f5045,plain,(
% 33.83/4.76 ![X0,X1,X2]: (X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2)|c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1)=X2)),
% 33.83/4.76 inference(paramodulation,[status(thm)],[f1851,f2163])).
% 33.83/4.76 fof(f5046,plain,(
% 33.83/4.76 ![X0,X1,X2]: (X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2)|X1=X2)),
% 33.83/4.76 inference(paramodulation,[status(thm)],[f2090,f2163])).
% 33.83/4.76 fof(f5053,plain,(
% 33.83/4.76 spl0_6 <=> X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 33.83/4.76 introduced(split_symbol_definition)).
% 33.83/4.76 fof(f5054,plain,(
% 33.83/4.76 ![X0]: (X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_6)),
% 33.83/4.76 inference(component_clause,[status(thm)],[f5053])).
% 33.83/4.76 fof(f5056,plain,(
% 33.83/4.76 spl0_7 <=> X1=X1),
% 33.83/4.76 introduced(split_symbol_definition)).
% 33.83/4.76 fof(f5059,plain,(
% 33.83/4.76 ![X0,X1]: (X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|X1=X1)),
% 33.83/4.76 inference(equality_resolution,[status(esa)],[f2163])).
% 33.83/4.76 fof(f5060,plain,(
% 33.83/4.76 spl0_6|spl0_7),
% 33.83/4.76 inference(split_clause,[status(thm)],[f5059,f5053,f5056])).
% 33.83/4.76 fof(f5065,plain,(
% 33.83/4.76 $false|~spl0_6),
% 33.83/4.76 inference(backward_subsumption_resolution,[status(thm)],[f2170,f5054])).
% 33.83/4.76 fof(f5066,plain,(
% 33.83/4.76 ~spl0_6),
% 33.83/4.76 inference(contradiction_clause,[status(thm)],[f5065])).
% 33.83/4.76 fof(f5087,plain,(
% 33.83/4.76 ![X0,X1,X2]: (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0))=c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X2,X0)|X1=X2)),
% 33.83/4.76 inference(paramodulation,[status(thm)],[f5009,f5046])).
% 33.83/4.76 fof(f5088,plain,(
% 33.83/4.76 ![X0,X1,X2]: (X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0)=c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X2)|X1=c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X2))),
% 33.83/4.76 inference(paramodulation,[status(thm)],[f1851,f5046])).
% 33.83/4.76 fof(f5091,plain,(
% 33.83/4.76 spl0_8 <=> c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1)=c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1)),
% 33.83/4.76 introduced(split_symbol_definition)).
% 33.83/4.76 fof(f5094,plain,(
% 33.83/4.76 ![X0,X1]: (X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1)=c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1))),
% 33.83/4.76 inference(resolution,[status(thm)],[f5045,f1851])).
% 33.83/4.76 fof(f5095,plain,(
% 33.83/4.76 spl0_6|spl0_8),
% 33.83/4.76 inference(split_clause,[status(thm)],[f5094,f5053,f5091])).
% 33.83/4.76 fof(f5116,plain,(
% 33.83/4.76 spl0_9 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)),v_w____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 33.83/4.76 introduced(split_symbol_definition)).
% 33.83/4.76 fof(f5117,plain,(
% 33.83/4.76 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)),v_w____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~spl0_9),
% 33.83/4.76 inference(component_clause,[status(thm)],[f5116])).
% 33.83/4.76 fof(f5119,plain,(
% 33.83/4.76 spl0_10 <=> c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)),v_w____))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
% 33.83/4.76 introduced(split_symbol_definition)).
% 33.83/4.76 fof(f5120,plain,(
% 33.83/4.76 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)),v_w____))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|~spl0_10),
% 33.83/4.76 inference(component_clause,[status(thm)],[f5119])).
% 33.83/4.76 fof(f5124,plain,(
% 33.83/4.76 ![X0,X1]: (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)|X0=X1|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0))),
% 33.83/4.76 inference(resolution,[status(thm)],[f1859,f1866])).
% 33.83/4.76 fof(f5146,plain,(
% 33.83/4.76 ![X0]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~spl0_3)),
% 33.83/4.76 inference(resolution,[status(thm)],[f5007,f1869])).
% 33.83/4.76 fof(f5147,plain,(
% 33.83/4.76 spl0_12 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 33.83/4.76 introduced(split_symbol_definition)).
% 33.83/4.76 fof(f5148,plain,(
% 33.83/4.76 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~spl0_12),
% 33.83/4.76 inference(component_clause,[status(thm)],[f5147])).
% 33.83/4.76 fof(f5150,plain,(
% 33.83/4.76 spl0_13 <=> c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
% 33.83/4.76 introduced(split_symbol_definition)).
% 33.83/4.76 fof(f5151,plain,(
% 33.83/4.76 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|~spl0_13),
% 33.83/4.76 inference(component_clause,[status(thm)],[f5150])).
% 33.83/4.76 fof(f5152,plain,(
% 33.83/4.76 ~c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|spl0_13),
% 33.83/4.76 inference(component_clause,[status(thm)],[f5150])).
% 33.83/4.76 fof(f5157,plain,(
% 33.83/4.76 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),X0)|~spl0_3)),
% 33.83/4.76 inference(resolution,[status(thm)],[f5146,f1866])).
% 33.83/4.76 fof(f5161,plain,(
% 33.83/4.76 spl0_14 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 33.83/4.76 introduced(split_symbol_definition)).
% 33.83/4.76 fof(f5162,plain,(
% 33.83/4.76 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~spl0_14),
% 33.83/4.76 inference(component_clause,[status(thm)],[f5161])).
% 33.83/4.76 fof(f5164,plain,(
% 33.83/4.76 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~spl0_3),
% 33.83/4.76 inference(resolution,[status(thm)],[f5157,f5146])).
% 33.83/4.76 fof(f5165,plain,(
% 33.83/4.76 spl0_14|~spl0_3),
% 33.83/4.76 inference(split_clause,[status(thm)],[f5164,f5161,f4922])).
% 33.83/4.76 fof(f5188,plain,(
% 33.83/4.76 $false|~spl0_9|spl0_2),
% 33.83/4.76 inference(forward_subsumption_resolution,[status(thm)],[f4992,f5117])).
% 33.83/4.76 fof(f5189,plain,(
% 33.83/4.76 ~spl0_9|spl0_2),
% 33.83/4.76 inference(contradiction_clause,[status(thm)],[f5188])).
% 33.83/4.76 fof(f5231,plain,(
% 33.83/4.76 $false|~spl0_12|spl0_3),
% 33.83/4.76 inference(forward_subsumption_resolution,[status(thm)],[f5030,f5148])).
% 33.83/4.76 fof(f5232,plain,(
% 33.83/4.76 ~spl0_12|spl0_3),
% 33.83/4.76 inference(contradiction_clause,[status(thm)],[f5231])).
% 33.83/4.76 fof(f5249,plain,(
% 33.83/4.76 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~spl0_13|~spl0_3),
% 33.83/4.76 inference(forward_demodulation,[status(thm)],[f5151,f4993])).
% 33.83/4.76 fof(f5250,plain,(
% 33.83/4.76 $false|~spl0_13|~spl0_3),
% 33.83/4.76 inference(forward_subsumption_resolution,[status(thm)],[f5249,f4931])).
% 33.83/4.76 fof(f5251,plain,(
% 33.83/4.76 ~spl0_13|~spl0_3),
% 33.83/4.76 inference(contradiction_clause,[status(thm)],[f5250])).
% 33.83/4.76 fof(f5300,plain,(
% 33.83/4.76 ![X0,X1]: (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0))|X0=X1|X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 33.83/4.76 inference(paramodulation,[status(thm)],[f2090,f5044])).
% 33.83/4.76 fof(f5317,plain,(
% 33.83/4.76 spl0_23 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)),v_w____)))),
% 33.83/4.76 introduced(split_symbol_definition)).
% 33.83/4.76 fof(f5318,plain,(
% 33.83/4.76 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)),v_w____)))|~spl0_23),
% 33.83/4.76 inference(component_clause,[status(thm)],[f5317])).
% 33.83/4.76 fof(f5319,plain,(
% 33.83/4.76 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)),v_w____)))|spl0_23),
% 33.83/4.76 inference(component_clause,[status(thm)],[f5317])).
% 33.83/4.76 fof(f5326,plain,(
% 33.83/4.76 spl0_24 <=> c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 33.83/4.76 introduced(split_symbol_definition)).
% 33.83/4.76 fof(f5327,plain,(
% 33.83/4.76 c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_24),
% 33.83/4.76 inference(component_clause,[status(thm)],[f5326])).
% 33.83/4.76 fof(f5329,plain,(
% 33.83/4.76 spl0_25 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0)=X0),
% 33.83/4.76 introduced(split_symbol_definition)).
% 33.83/4.76 fof(f5332,plain,(
% 33.83/4.76 ![X0]: (c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0)=X0)),
% 33.83/4.76 inference(resolution,[status(thm)],[f2171,f2163])).
% 33.83/4.76 fof(f5333,plain,(
% 33.83/4.76 spl0_24|spl0_25),
% 33.83/4.76 inference(split_clause,[status(thm)],[f5332,f5326,f5329])).
% 33.83/4.76 fof(f5340,plain,(
% 33.83/4.76 spl0_26 <=> c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)=c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0)),
% 33.83/4.76 introduced(split_symbol_definition)).
% 33.83/4.76 fof(f5343,plain,(
% 33.83/4.76 ![X0]: (c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)=c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0))),
% 33.83/4.76 inference(resolution,[status(thm)],[f2171,f5045])).
% 33.83/4.76 fof(f5344,plain,(
% 33.83/4.76 spl0_24|spl0_26),
% 33.83/4.76 inference(split_clause,[status(thm)],[f5343,f5326,f5340])).
% 33.83/4.76 fof(f5345,plain,(
% 33.83/4.76 spl0_27 <=> X0=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 33.83/4.76 introduced(split_symbol_definition)).
% 33.83/4.76 fof(f5348,plain,(
% 33.83/4.76 ![X0]: (c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|X0=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
% 33.83/4.76 inference(resolution,[status(thm)],[f2171,f5046])).
% 33.83/4.76 fof(f5349,plain,(
% 33.83/4.76 spl0_24|spl0_27),
% 33.83/4.76 inference(split_clause,[status(thm)],[f5348,f5326,f5345])).
% 33.83/4.76 fof(f5352,plain,(
% 33.83/4.76 ![X0]: (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0)=c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0))),
% 33.83/4.76 inference(paramodulation,[status(thm)],[f1851,f2171])).
% 33.83/4.76 fof(f5353,plain,(
% 33.83/4.76 ![X0]: (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=X0)),
% 33.83/4.76 inference(paramodulation,[status(thm)],[f2090,f2171])).
% 33.83/4.77 fof(f5359,plain,(
% 33.83/4.77 ![X0,X1]: (X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0)=X0|X1=c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 33.83/4.77 inference(paramodulation,[status(thm)],[f2171,f2168])).
% 33.83/4.77 fof(f5361,plain,(
% 33.83/4.77 spl0_28 <=> ~c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0)=X1|c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)=X1),
% 33.83/4.77 introduced(split_symbol_definition)).
% 33.83/4.77 fof(f5364,plain,(
% 33.83/4.77 ![X0,X1]: (c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0)=X1|c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)=X1)),
% 33.83/4.77 inference(paramodulation,[status(thm)],[f2171,f5045])).
% 33.83/4.77 fof(f5365,plain,(
% 33.83/4.77 spl0_24|spl0_28),
% 33.83/4.77 inference(split_clause,[status(thm)],[f5364,f5326,f5361])).
% 33.83/4.77 fof(f5366,plain,(
% 33.83/4.77 spl0_29 <=> ~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=X1|X0=X1),
% 33.83/4.77 introduced(split_symbol_definition)).
% 33.83/4.77 fof(f5369,plain,(
% 33.83/4.77 ![X0,X1]: (c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=X1|X0=X1)),
% 33.83/4.77 inference(paramodulation,[status(thm)],[f2171,f5046])).
% 33.83/4.77 fof(f5370,plain,(
% 33.83/4.77 spl0_24|spl0_29),
% 33.83/4.77 inference(split_clause,[status(thm)],[f5369,f5326,f5366])).
% 33.83/4.77 fof(f5371,plain,(
% 33.83/4.77 ![X0,X1]: (X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~X0=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1)|c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=X1)),
% 33.83/4.77 inference(paramodulation,[status(thm)],[f2171,f5046])).
% 33.83/4.77 fof(f5372,plain,(
% 33.83/4.77 spl0_30 <=> ~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0)=X1|X0=X1),
% 33.83/4.77 introduced(split_symbol_definition)).
% 33.83/4.77 fof(f5375,plain,(
% 33.83/4.77 ![X0,X1]: (c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0)=X1|X0=X1)),
% 33.83/4.77 inference(paramodulation,[status(thm)],[f2171,f2163])).
% 33.83/4.77 fof(f5376,plain,(
% 33.83/4.77 spl0_24|spl0_30),
% 33.83/4.77 inference(split_clause,[status(thm)],[f5375,f5326,f5372])).
% 33.83/4.77 fof(f5381,plain,(
% 33.83/4.77 $false|~spl0_24),
% 33.83/4.77 inference(forward_subsumption_resolution,[status(thm)],[f5327,f2170])).
% 33.83/4.77 fof(f5382,plain,(
% 33.83/4.77 ~spl0_24),
% 33.83/4.77 inference(contradiction_clause,[status(thm)],[f5381])).
% 33.83/4.77 fof(f5383,plain,(
% 33.83/4.77 spl0_31 <=> ~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1)|X0=c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1)),
% 33.83/4.77 introduced(split_symbol_definition)).
% 33.83/4.77 fof(f5386,plain,(
% 33.83/4.77 ![X0,X1]: (c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1)|X0=c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1))),
% 33.83/4.77 inference(paramodulation,[status(thm)],[f5352,f5088])).
% 33.83/4.77 fof(f5387,plain,(
% 33.83/4.77 spl0_24|spl0_31),
% 33.83/4.77 inference(split_clause,[status(thm)],[f5386,f5326,f5383])).
% 33.83/4.77 fof(f5388,plain,(
% 33.83/4.77 spl0_32 <=> ~c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1)|c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)=X1),
% 33.83/4.77 introduced(split_symbol_definition)).
% 33.83/4.77 fof(f5391,plain,(
% 33.83/4.77 ![X0,X1]: (c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1)|c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)=X1)),
% 33.83/4.77 inference(paramodulation,[status(thm)],[f5352,f5045])).
% 33.83/4.77 fof(f5392,plain,(
% 33.83/4.77 spl0_24|spl0_32),
% 33.83/4.77 inference(split_clause,[status(thm)],[f5391,f5326,f5388])).
% 33.83/4.77 fof(f5399,plain,(
% 33.83/4.77 spl0_33 <=> c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
% 33.83/4.77 introduced(split_symbol_definition)).
% 33.83/4.77 fof(f5402,plain,(
% 33.83/4.77 ![X0]: (X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 33.83/4.77 inference(resolution,[status(thm)],[f5359,f2171])).
% 33.83/4.77 fof(f5403,plain,(
% 33.83/4.77 spl0_6|spl0_33),
% 33.83/4.77 inference(split_clause,[status(thm)],[f5402,f5053,f5399])).
% 33.83/4.77 fof(f5415,plain,(
% 33.83/4.77 spl0_35 <=> ~c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=X0|c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=X0),
% 33.83/4.77 introduced(split_symbol_definition)).
% 33.83/4.77 fof(f5418,plain,(
% 33.83/4.77 ![X0]: (c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=X0|c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=X0)),
% 33.83/4.77 inference(paramodulation,[status(thm)],[f2171,f5371])).
% 33.83/4.77 fof(f5419,plain,(
% 33.83/4.77 spl0_24|spl0_35),
% 33.83/4.77 inference(split_clause,[status(thm)],[f5418,f5326,f5415])).
% 33.83/4.77 fof(f5436,plain,(
% 33.83/4.77 spl0_36 <=> c_Groups_Oone__class_Oone(tc_Nat_Onat)=c_Groups_Oone__class_Oone(tc_Nat_Onat)),
% 33.83/4.77 introduced(split_symbol_definition)).
% 33.83/4.77 fof(f5462,plain,(
% 33.83/4.77 spl0_40 <=> c_Groups_Oone__class_Oone(tc_Nat_Onat)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
% 33.83/4.77 introduced(split_symbol_definition)).
% 33.83/4.77 fof(f5463,plain,(
% 33.83/4.77 c_Groups_Oone__class_Oone(tc_Nat_Onat)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~spl0_40),
% 33.83/4.77 inference(component_clause,[status(thm)],[f5462])).
% 33.83/4.77 fof(f5465,plain,(
% 33.83/4.77 c_Groups_Oone__class_Oone(tc_Nat_Onat)=c_Groups_Oone__class_Oone(tc_Nat_Onat)|c_Groups_Oone__class_Oone(tc_Nat_Onat)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
% 33.83/4.77 inference(resolution,[status(thm)],[f2927,f2682])).
% 33.83/4.77 fof(f5466,plain,(
% 33.83/4.77 spl0_36|spl0_40),
% 33.83/4.77 inference(split_clause,[status(thm)],[f5465,f5436,f5462])).
% 33.83/4.77 fof(f5467,plain,(
% 33.83/4.77 spl0_41 <=> ~c_Groups_Oone__class_Oone(tc_Nat_Onat)=X0|X0=c_Groups_Oone__class_Oone(tc_Nat_Onat)),
% 33.83/4.77 introduced(split_symbol_definition)).
% 33.83/4.77 fof(f5470,plain,(
% 33.83/4.77 ![X0]: (~c_Groups_Oone__class_Oone(tc_Nat_Onat)=X0|X0=c_Groups_Oone__class_Oone(tc_Nat_Onat)|c_Groups_Oone__class_Oone(tc_Nat_Onat)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
% 33.83/4.77 inference(paramodulation,[status(thm)],[f2927,f2682])).
% 33.83/4.77 fof(f5471,plain,(
% 33.83/4.77 spl0_41|spl0_40),
% 33.83/4.77 inference(split_clause,[status(thm)],[f5470,f5467,f5462])).
% 33.83/4.77 fof(f5498,plain,(
% 33.83/4.77 c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|~spl0_40),
% 33.83/4.77 inference(backward_demodulation,[status(thm)],[f5463,f3188])).
% 33.83/4.77 fof(f5499,plain,(
% 33.83/4.77 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|~spl0_40),
% 33.83/4.77 inference(forward_demodulation,[status(thm)],[f3164,f5498])).
% 33.83/4.77 fof(f5500,plain,(
% 33.83/4.77 $false|~spl0_40),
% 33.83/4.77 inference(forward_subsumption_resolution,[status(thm)],[f5499,f2170])).
% 33.83/4.77 fof(f5501,plain,(
% 33.83/4.77 ~spl0_40),
% 33.83/4.77 inference(contradiction_clause,[status(thm)],[f5500])).
% 33.83/4.77 fof(f5508,plain,(
% 33.83/4.77 spl0_42 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),
% 33.83/4.77 introduced(split_symbol_definition)).
% 33.83/4.77 fof(f5510,plain,(
% 33.83/4.77 ~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))|spl0_42),
% 33.83/4.77 inference(component_clause,[status(thm)],[f5508])).
% 33.83/4.77 fof(f5511,plain,(
% 33.83/4.77 spl0_43 <=> c_Groups_Oone__class_Oone(tc_Int_Oint)=c_Groups_Oone__class_Oone(tc_Int_Oint)),
% 33.83/4.77 introduced(split_symbol_definition)).
% 33.83/4.77 fof(f5514,plain,(
% 33.83/4.77 ~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))|c_Groups_Oone__class_Oone(tc_Int_Oint)=c_Groups_Oone__class_Oone(tc_Int_Oint)),
% 33.83/4.77 inference(resolution,[status(thm)],[f3530,f3541])).
% 33.83/4.77 fof(f5515,plain,(
% 33.83/4.77 ~spl0_42|spl0_43),
% 33.83/4.77 inference(split_clause,[status(thm)],[f5514,f5508,f5511])).
% 33.83/4.77 fof(f5526,plain,(
% 33.83/4.77 spl0_44 <=> ~X0=c_Groups_Oone__class_Oone(tc_Int_Oint)|X0=c_Groups_Oone__class_Oone(tc_Int_Oint)),
% 33.83/4.77 introduced(split_symbol_definition)).
% 33.83/4.77 fof(f5529,plain,(
% 33.83/4.77 ![X0]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))|~X0=c_Groups_Oone__class_Oone(tc_Int_Oint)|X0=c_Groups_Oone__class_Oone(tc_Int_Oint))),
% 33.83/4.77 inference(paramodulation,[status(thm)],[f3530,f3541])).
% 33.83/4.77 fof(f5530,plain,(
% 33.83/4.77 ~spl0_42|spl0_44),
% 33.83/4.77 inference(split_clause,[status(thm)],[f5529,f5508,f5526])).
% 33.83/4.77 fof(f5536,plain,(
% 33.83/4.77 $false|spl0_42),
% 33.83/4.77 inference(forward_subsumption_resolution,[status(thm)],[f5510,f3645])).
% 33.83/4.77 fof(f5537,plain,(
% 33.83/4.77 spl0_42),
% 33.83/4.77 inference(contradiction_clause,[status(thm)],[f5536])).
% 33.83/4.77 fof(f5558,plain,(
% 33.83/4.77 ![X0,X1]: (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)|X0=X1|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)|X1=X0)),
% 33.83/4.77 inference(resolution,[status(thm)],[f5124,f1859])).
% 33.83/4.77 fof(f5559,plain,(
% 33.83/4.77 ![X0,X1]: (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)|X0=X1|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0))),
% 33.83/4.77 inference(duplicate_literals_removal,[status(esa)],[f5558])).
% 33.83/4.77 fof(f5647,plain,(
% 33.83/4.77 spl0_47 <=> c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
% 33.83/4.77 introduced(split_symbol_definition)).
% 33.83/4.77 fof(f5648,plain,(
% 33.83/4.77 c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|~spl0_47),
% 33.83/4.77 inference(component_clause,[status(thm)],[f5647])).
% 33.83/4.77 fof(f5650,plain,(
% 33.83/4.77 c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 33.83/4.77 inference(paramodulation,[status(thm)],[f5352,f5032])).
% 33.83/4.77 fof(f5651,plain,(
% 33.83/4.77 spl0_47|spl0_24),
% 33.83/4.77 inference(split_clause,[status(thm)],[f5650,f5647,f5326])).
% 33.83/4.77 fof(f5656,plain,(
% 33.83/4.77 ![X0,X1]: (X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|X1=c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)|X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 33.83/4.77 inference(paramodulation,[status(thm)],[f5032,f5088])).
% 33.83/4.77 fof(f5657,plain,(
% 33.83/4.77 ![X0,X1]: (X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|X1=c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0))),
% 33.83/4.77 inference(duplicate_literals_removal,[status(esa)],[f5656])).
% 33.83/4.77 fof(f5660,plain,(
% 33.83/4.77 spl0_48 <=> c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 33.83/4.77 introduced(split_symbol_definition)).
% 33.83/4.77 fof(f5661,plain,(
% 33.83/4.77 c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_48),
% 33.83/4.77 inference(component_clause,[status(thm)],[f5660])).
% 33.83/4.77 fof(f5667,plain,(
% 33.83/4.77 spl0_49 <=> ~c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=X0),
% 33.83/4.77 introduced(split_symbol_definition)).
% 33.83/4.77 fof(f5672,plain,(
% 33.83/4.77 spl0_50 <=> ~c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0)|c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=X0),
% 33.83/4.77 introduced(split_symbol_definition)).
% 33.83/4.77 fof(f5677,plain,(
% 33.83/4.77 spl0_51 <=> ~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|X0=X1),
% 33.83/4.77 introduced(split_symbol_definition)).
% 33.83/4.77 fof(f5680,plain,(
% 33.83/4.77 ![X0,X1]: (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|X0=X1|~spl0_47)),
% 33.83/4.77 inference(paramodulation,[status(thm)],[f5648,f5087])).
% 33.83/4.77 fof(f5681,plain,(
% 33.83/4.77 spl0_48|spl0_51|~spl0_47),
% 33.83/4.77 inference(split_clause,[status(thm)],[f5680,f5660,f5677,f5647])).
% 33.83/4.77 fof(f5682,plain,(
% 33.83/4.77 spl0_52 <=> ~c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1)|X0=X1),
% 33.83/4.77 introduced(split_symbol_definition)).
% 33.83/4.77 fof(f5685,plain,(
% 33.83/4.77 ![X0,X1]: (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1)|X0=X1|~spl0_47)),
% 33.83/4.77 inference(paramodulation,[status(thm)],[f5648,f5043])).
% 33.83/4.77 fof(f5686,plain,(
% 33.83/4.77 spl0_48|spl0_52|~spl0_47),
% 33.83/4.77 inference(split_clause,[status(thm)],[f5685,f5660,f5682,f5647])).
% 33.83/4.77 fof(f5689,plain,(
% 33.83/4.77 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|~spl0_48|~spl0_47),
% 33.83/4.77 inference(backward_demodulation,[status(thm)],[f5661,f5648])).
% 33.83/4.77 fof(f5690,plain,(
% 33.83/4.77 spl0_24|~spl0_48|~spl0_47),
% 33.83/4.77 inference(split_clause,[status(thm)],[f5689,f5326,f5660,f5647])).
% 33.83/4.77 fof(f5711,plain,(
% 33.83/4.77 spl0_53 <=> ~X0=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|X0=c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 33.83/4.77 introduced(split_symbol_definition)).
% 33.83/4.77 fof(f5714,plain,(
% 33.83/4.77 ![X0]: (c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~X0=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|X0=c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
% 33.83/4.77 inference(paramodulation,[status(thm)],[f5353,f5657])).
% 33.83/4.77 fof(f5715,plain,(
% 33.83/4.77 spl0_24|spl0_53),
% 33.83/4.77 inference(split_clause,[status(thm)],[f5714,f5326,f5711])).
% 33.83/4.77 fof(f5734,plain,(
% 33.83/4.77 spl0_54 <=> ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)),
% 33.83/4.77 introduced(split_symbol_definition)).
% 33.83/4.77 fof(f5737,plain,(
% 33.83/4.77 spl0_55 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 33.83/4.77 introduced(split_symbol_definition)).
% 33.83/4.77 fof(f5739,plain,(
% 33.83/4.77 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|spl0_55),
% 33.83/4.77 inference(component_clause,[status(thm)],[f5737])).
% 33.83/4.77 fof(f5740,plain,(
% 33.83/4.77 ![X0]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0))),
% 33.83/4.77 inference(paramodulation,[status(thm)],[f5352,f1874])).
% 33.83/4.77 fof(f5741,plain,(
% 33.83/4.77 spl0_54|spl0_55),
% 33.83/4.77 inference(split_clause,[status(thm)],[f5740,f5734,f5737])).
% 33.83/4.77 fof(f5742,plain,(
% 33.83/4.77 spl0_56 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 33.83/4.77 introduced(split_symbol_definition)).
% 33.83/4.77 fof(f5743,plain,(
% 33.83/4.77 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~spl0_56),
% 33.83/4.77 inference(component_clause,[status(thm)],[f5742])).
% 33.83/4.77 fof(f5744,plain,(
% 33.83/4.77 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|spl0_56),
% 34.40/4.77 inference(component_clause,[status(thm)],[f5742])).
% 34.40/4.77 fof(f5745,plain,(
% 34.40/4.77 spl0_57 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)|X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f5748,plain,(
% 34.40/4.77 ![X0]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)|X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f5032,f1874])).
% 34.40/4.77 fof(f5749,plain,(
% 34.40/4.77 ~spl0_56|spl0_57),
% 34.40/4.77 inference(split_clause,[status(thm)],[f5748,f5742,f5745])).
% 34.40/4.77 fof(f5763,plain,(
% 34.40/4.77 spl0_59 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0))),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f5764,plain,(
% 34.40/4.77 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0))|~spl0_59)),
% 34.40/4.77 inference(component_clause,[status(thm)],[f5763])).
% 34.40/4.77 fof(f5766,plain,(
% 34.40/4.77 spl0_60 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f5768,plain,(
% 34.40/4.77 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|spl0_60),
% 34.40/4.77 inference(component_clause,[status(thm)],[f5766])).
% 34.40/4.77 fof(f5769,plain,(
% 34.40/4.77 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
% 34.40/4.77 inference(resolution,[status(thm)],[f1876,f1866])).
% 34.40/4.77 fof(f5770,plain,(
% 34.40/4.77 spl0_59|~spl0_60),
% 34.40/4.77 inference(split_clause,[status(thm)],[f5769,f5763,f5766])).
% 34.40/4.77 fof(f5775,plain,(
% 34.40/4.77 $false|spl0_60),
% 34.40/4.77 inference(forward_subsumption_resolution,[status(thm)],[f5768,f4932])).
% 34.40/4.77 fof(f5776,plain,(
% 34.40/4.77 spl0_60),
% 34.40/4.77 inference(contradiction_clause,[status(thm)],[f5775])).
% 34.40/4.77 fof(f5793,plain,(
% 34.40/4.77 spl0_61 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f5796,plain,(
% 34.40/4.77 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
% 34.40/4.77 inference(resolution,[status(thm)],[f1879,f1866])).
% 34.40/4.77 fof(f5797,plain,(
% 34.40/4.77 spl0_61|~spl0_60),
% 34.40/4.77 inference(split_clause,[status(thm)],[f5796,f5793,f5766])).
% 34.40/4.77 fof(f5804,plain,(
% 34.40/4.77 spl0_62 <=> ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f5805,plain,(
% 34.40/4.77 ![X0]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)|~spl0_62)),
% 34.40/4.77 inference(component_clause,[status(thm)],[f5804])).
% 34.40/4.77 fof(f5807,plain,(
% 34.40/4.77 spl0_63 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f5810,plain,(
% 34.40/4.77 ![X0,X1]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1))),
% 34.40/4.77 inference(resolution,[status(thm)],[f1986,f1866])).
% 34.40/4.77 fof(f5811,plain,(
% 34.40/4.77 spl0_62|spl0_63),
% 34.40/4.77 inference(split_clause,[status(thm)],[f5810,f5804,f5807])).
% 34.40/4.77 fof(f5818,plain,(
% 34.40/4.77 spl0_64 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f5820,plain,(
% 34.40/4.77 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|spl0_64),
% 34.40/4.77 inference(component_clause,[status(thm)],[f5818])).
% 34.40/4.77 fof(f5821,plain,(
% 34.40/4.77 spl0_65 <=> ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f5824,plain,(
% 34.40/4.77 ![X0,X1]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f2171,f1986])).
% 34.40/4.77 fof(f5825,plain,(
% 34.40/4.77 ~spl0_64|spl0_65),
% 34.40/4.77 inference(split_clause,[status(thm)],[f5824,f5818,f5821])).
% 34.40/4.77 fof(f5832,plain,(
% 34.40/4.77 spl0_66 <=> ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0),X1)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f5835,plain,(
% 34.40/4.77 ![X0,X1]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0),X1)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f2171,f1986])).
% 34.40/4.77 fof(f5836,plain,(
% 34.40/4.77 ~spl0_64|spl0_66),
% 34.40/4.77 inference(split_clause,[status(thm)],[f5835,f5818,f5832])).
% 34.40/4.77 fof(f5848,plain,(
% 34.40/4.77 $false|~spl0_62),
% 34.40/4.77 inference(backward_subsumption_resolution,[status(thm)],[f3072,f5805])).
% 34.40/4.77 fof(f5849,plain,(
% 34.40/4.77 ~spl0_62),
% 34.40/4.77 inference(contradiction_clause,[status(thm)],[f5848])).
% 34.40/4.77 fof(f5861,plain,(
% 34.40/4.77 ![X0,X1,X2]: (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1)),X2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1)),X2)))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f1851,f2089])).
% 34.40/4.77 fof(f5862,plain,(
% 34.40/4.77 ![X0,X1,X2]: (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1)),X2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X2,X1)))),
% 34.40/4.77 inference(forward_demodulation,[status(thm)],[f5009,f5861])).
% 34.40/4.77 fof(f5866,plain,(
% 34.40/4.77 ![X0,X1,X2]: (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)))|X0=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2)|X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f2089,f5300])).
% 34.40/4.77 fof(f5867,plain,(
% 34.40/4.77 ![X0,X1,X2]: (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X2,X0))|X0=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2)|X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 34.40/4.77 inference(forward_demodulation,[status(thm)],[f1851,f5866])).
% 34.40/4.77 fof(f5875,plain,(
% 34.40/4.77 ![X0,X1,X2]: (X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X0))=X0|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f2089,f5359])).
% 34.40/4.77 fof(f5901,plain,(
% 34.40/4.77 c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
% 34.40/4.77 inference(resolution,[status(thm)],[f1295,f4617])).
% 34.40/4.77 fof(f5904,plain,(
% 34.40/4.77 spl0_67 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))))),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f5905,plain,(
% 34.40/4.77 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))))|~spl0_67),
% 34.40/4.77 inference(component_clause,[status(thm)],[f5904])).
% 34.40/4.77 fof(f5906,plain,(
% 34.40/4.77 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))))|spl0_67),
% 34.40/4.77 inference(component_clause,[status(thm)],[f5904])).
% 34.40/4.77 fof(f5907,plain,(
% 34.40/4.77 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))))|c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)))|~spl0_14),
% 34.40/4.77 inference(resolution,[status(thm)],[f5162,f1871])).
% 34.40/4.77 fof(f5908,plain,(
% 34.40/4.77 ~spl0_67|spl0_13|~spl0_14),
% 34.40/4.77 inference(split_clause,[status(thm)],[f5907,f5904,f5150,f5161])).
% 34.40/4.77 fof(f5912,plain,(
% 34.40/4.77 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|spl0_67),
% 34.40/4.77 inference(resolution,[status(thm)],[f5906,f5124])).
% 34.40/4.77 fof(f5913,plain,(
% 34.40/4.77 spl0_12|spl0_13|spl0_67),
% 34.40/4.77 inference(split_clause,[status(thm)],[f5912,f5147,f5150,f5904])).
% 34.40/4.77 fof(f5914,plain,(
% 34.40/4.77 ![X0]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))))|spl0_67)),
% 34.40/4.77 inference(resolution,[status(thm)],[f5906,f1869])).
% 34.40/4.77 fof(f5935,plain,(
% 34.40/4.77 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)),v_w____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)),v_w____))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|spl0_23),
% 34.40/4.77 inference(resolution,[status(thm)],[f5319,f5124])).
% 34.40/4.77 fof(f5936,plain,(
% 34.40/4.77 spl0_9|spl0_10|spl0_23),
% 34.40/4.77 inference(split_clause,[status(thm)],[f5935,f5116,f5119,f5317])).
% 34.40/4.77 fof(f6120,plain,(
% 34.40/4.77 spl0_72 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f6121,plain,(
% 34.40/4.77 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))|~spl0_72),
% 34.40/4.77 inference(component_clause,[status(thm)],[f6120])).
% 34.40/4.77 fof(f6122,plain,(
% 34.40/4.77 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))|spl0_72),
% 34.40/4.77 inference(component_clause,[status(thm)],[f6120])).
% 34.40/4.77 fof(f6131,plain,(
% 34.40/4.77 spl0_73 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))))),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f6132,plain,(
% 34.40/4.77 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))))|~spl0_73),
% 34.40/4.77 inference(component_clause,[status(thm)],[f6131])).
% 34.40/4.77 fof(f6133,plain,(
% 34.40/4.77 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))))|spl0_73),
% 34.40/4.77 inference(component_clause,[status(thm)],[f6131])).
% 34.40/4.77 fof(f6134,plain,(
% 34.40/4.77 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~spl0_72),
% 34.40/4.77 inference(resolution,[status(thm)],[f6121,f1875])).
% 34.40/4.77 fof(f6135,plain,(
% 34.40/4.77 spl0_73|spl0_55|~spl0_72),
% 34.40/4.77 inference(split_clause,[status(thm)],[f6134,f6131,f5737,f6120])).
% 34.40/4.77 fof(f6136,plain,(
% 34.40/4.77 spl0_74 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f6137,plain,(
% 34.40/4.77 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~spl0_74),
% 34.40/4.77 inference(component_clause,[status(thm)],[f6136])).
% 34.40/4.77 fof(f6141,plain,(
% 34.40/4.77 spl0_75 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f6144,plain,(
% 34.40/4.77 spl0_76 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f6145,plain,(
% 34.40/4.77 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~spl0_76),
% 34.40/4.77 inference(component_clause,[status(thm)],[f6144])).
% 34.40/4.77 fof(f6146,plain,(
% 34.40/4.77 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|spl0_76),
% 34.40/4.77 inference(component_clause,[status(thm)],[f6144])).
% 34.40/4.77 fof(f6147,plain,(
% 34.40/4.77 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~spl0_72)),
% 34.40/4.77 inference(resolution,[status(thm)],[f6121,f1879])).
% 34.40/4.77 fof(f6148,plain,(
% 34.40/4.77 spl0_75|~spl0_76|~spl0_72),
% 34.40/4.77 inference(split_clause,[status(thm)],[f6147,f6141,f6144,f6120])).
% 34.40/4.77 fof(f6150,plain,(
% 34.40/4.77 spl0_77 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0))),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f6153,plain,(
% 34.40/4.77 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~spl0_72)),
% 34.40/4.77 inference(resolution,[status(thm)],[f6121,f1876])).
% 34.40/4.77 fof(f6154,plain,(
% 34.40/4.77 spl0_77|~spl0_76|~spl0_72),
% 34.40/4.77 inference(split_clause,[status(thm)],[f6153,f6150,f6144,f6120])).
% 34.40/4.77 fof(f6155,plain,(
% 34.40/4.77 spl0_78 <=> c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f6156,plain,(
% 34.40/4.77 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_78),
% 34.40/4.77 inference(component_clause,[status(thm)],[f6155])).
% 34.40/4.77 fof(f6158,plain,(
% 34.40/4.77 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_72),
% 34.40/4.77 inference(resolution,[status(thm)],[f6121,f1871])).
% 34.40/4.77 fof(f6159,plain,(
% 34.40/4.77 ~spl0_76|spl0_78|~spl0_72),
% 34.40/4.77 inference(split_clause,[status(thm)],[f6158,f6144,f6155,f6120])).
% 34.40/4.77 fof(f6161,plain,(
% 34.40/4.77 spl0_79 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f6162,plain,(
% 34.40/4.77 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))|~spl0_79),
% 34.40/4.77 inference(component_clause,[status(thm)],[f6161])).
% 34.40/4.77 fof(f6164,plain,(
% 34.40/4.77 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))|c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~spl0_72),
% 34.40/4.77 inference(resolution,[status(thm)],[f6121,f1859])).
% 34.40/4.77 fof(f6165,plain,(
% 34.40/4.77 spl0_79|spl0_78|~spl0_72),
% 34.40/4.77 inference(split_clause,[status(thm)],[f6164,f6161,f6155,f6120])).
% 34.40/4.77 fof(f6167,plain,(
% 34.40/4.77 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~spl0_78|spl0_76),
% 34.40/4.77 inference(backward_demodulation,[status(thm)],[f6156,f6146])).
% 34.40/4.77 fof(f6168,plain,(
% 34.40/4.77 ~spl0_60|~spl0_78|spl0_76),
% 34.40/4.77 inference(split_clause,[status(thm)],[f6167,f5766,f6155,f6144])).
% 34.40/4.77 fof(f6173,plain,(
% 34.40/4.77 spl0_80 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f6174,plain,(
% 34.40/4.77 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~spl0_80),
% 34.40/4.77 inference(component_clause,[status(thm)],[f6173])).
% 34.40/4.77 fof(f6179,plain,(
% 34.40/4.77 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~spl0_78|spl0_72),
% 34.40/4.77 inference(backward_demodulation,[status(thm)],[f6156,f6122])).
% 34.40/4.77 fof(f6180,plain,(
% 34.40/4.77 ~spl0_60|~spl0_78|spl0_72),
% 34.40/4.77 inference(split_clause,[status(thm)],[f6179,f5766,f6155,f6120])).
% 34.40/4.77 fof(f6187,plain,(
% 34.40/4.77 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|spl0_72),
% 34.40/4.77 inference(resolution,[status(thm)],[f6122,f5124])).
% 34.40/4.77 fof(f6188,plain,(
% 34.40/4.77 spl0_80|spl0_78|spl0_72),
% 34.40/4.77 inference(split_clause,[status(thm)],[f6187,f6173,f6155,f6120])).
% 34.40/4.77 fof(f6189,plain,(
% 34.40/4.77 ![X0]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))|spl0_72)),
% 34.40/4.77 inference(resolution,[status(thm)],[f6122,f1869])).
% 34.40/4.77 fof(f6216,plain,(
% 34.40/4.77 spl0_84 <=> c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)))),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f6217,plain,(
% 34.40/4.77 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)))|~spl0_84),
% 34.40/4.77 inference(component_clause,[status(thm)],[f6216])).
% 34.40/4.77 fof(f6219,plain,(
% 34.40/4.77 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))))|c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)))|~spl0_74),
% 34.40/4.77 inference(resolution,[status(thm)],[f6137,f1871])).
% 34.40/4.77 fof(f6220,plain,(
% 34.40/4.77 ~spl0_73|spl0_84|~spl0_74),
% 34.40/4.77 inference(split_clause,[status(thm)],[f6219,f6131,f6216,f6136])).
% 34.40/4.77 fof(f6221,plain,(
% 34.40/4.77 ![X0]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~spl0_74)),
% 34.40/4.77 inference(resolution,[status(thm)],[f6137,f1869])).
% 34.40/4.77 fof(f6222,plain,(
% 34.40/4.77 spl0_85 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f6223,plain,(
% 34.40/4.77 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~spl0_85),
% 34.40/4.77 inference(component_clause,[status(thm)],[f6222])).
% 34.40/4.77 fof(f6224,plain,(
% 34.40/4.77 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|spl0_85),
% 34.40/4.77 inference(component_clause,[status(thm)],[f6222])).
% 34.40/4.77 fof(f6229,plain,(
% 34.40/4.77 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))|~spl0_84|spl0_72),
% 34.40/4.77 inference(backward_demodulation,[status(thm)],[f6217,f6122])).
% 34.40/4.77 fof(f6230,plain,(
% 34.40/4.77 $false|~spl0_59|~spl0_84|spl0_72),
% 34.40/4.77 inference(forward_subsumption_resolution,[status(thm)],[f6229,f5764])).
% 34.40/4.77 fof(f6231,plain,(
% 34.40/4.77 ~spl0_59|~spl0_84|spl0_72),
% 34.40/4.77 inference(contradiction_clause,[status(thm)],[f6230])).
% 34.40/4.77 fof(f6243,plain,(
% 34.40/4.77 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~spl0_85),
% 34.40/4.77 inference(resolution,[status(thm)],[f6223,f1857])).
% 34.40/4.77 fof(f6297,plain,(
% 34.40/4.77 ![X0,X1,X2]: (X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0)),X2)=X0|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f2090,f5875])).
% 34.40/4.77 fof(f6302,plain,(
% 34.40/4.77 spl0_86 <=> ~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f6305,plain,(
% 34.40/4.77 ![X0,X1]: (c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f5353,f5875])).
% 34.40/4.77 fof(f6306,plain,(
% 34.40/4.77 spl0_24|spl0_86),
% 34.40/4.77 inference(split_clause,[status(thm)],[f6305,f5326,f6302])).
% 34.40/4.77 fof(f6318,plain,(
% 34.40/4.77 spl0_87 <=> ~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f6321,plain,(
% 34.40/4.77 ![X0,X1]: (c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f5353,f6297])).
% 34.40/4.77 fof(f6322,plain,(
% 34.40/4.77 spl0_24|spl0_87),
% 34.40/4.77 inference(split_clause,[status(thm)],[f6321,f5326,f6318])).
% 34.40/4.77 fof(f6438,plain,(
% 34.40/4.77 spl0_88 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f6439,plain,(
% 34.40/4.77 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~spl0_88),
% 34.40/4.77 inference(component_clause,[status(thm)],[f6438])).
% 34.40/4.77 fof(f6445,plain,(
% 34.40/4.77 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~spl0_80),
% 34.40/4.77 inference(resolution,[status(thm)],[f6174,f1857])).
% 34.40/4.77 fof(f6446,plain,(
% 34.40/4.77 spl0_76|~spl0_80),
% 34.40/4.77 inference(split_clause,[status(thm)],[f6445,f6144,f6173])).
% 34.40/4.77 fof(f6805,plain,(
% 34.40/4.77 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
% 34.40/4.77 inference(resolution,[status(thm)],[f4677,f1295])).
% 34.40/4.77 fof(f6835,plain,(
% 34.40/4.77 ![X0,X1]: (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),X1)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),X0))),
% 34.40/4.77 inference(resolution,[status(thm)],[f1312,f4691])).
% 34.40/4.77 fof(f6853,plain,(
% 34.40/4.77 spl0_91 <=> class_Rings_Ono__zero__divisors(tc_Nat_Onat)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f6855,plain,(
% 34.40/4.77 ~class_Rings_Ono__zero__divisors(tc_Nat_Onat)|spl0_91),
% 34.40/4.77 inference(component_clause,[status(thm)],[f6853])).
% 34.40/4.77 fof(f6856,plain,(
% 34.40/4.77 spl0_92 <=> c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f6863,plain,(
% 34.40/4.77 spl0_93 <=> class_Rings_Ono__zero__divisors(tc_Int_Oint)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f6865,plain,(
% 34.40/4.77 ~class_Rings_Ono__zero__divisors(tc_Int_Oint)|spl0_93),
% 34.40/4.77 inference(component_clause,[status(thm)],[f6863])).
% 34.40/4.77 fof(f6866,plain,(
% 34.40/4.77 spl0_94 <=> c_Groups_Oone__class_Oone(tc_Int_Oint)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f6867,plain,(
% 34.40/4.77 c_Groups_Oone__class_Oone(tc_Int_Oint)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|~spl0_94),
% 34.40/4.77 inference(component_clause,[status(thm)],[f6866])).
% 34.40/4.77 fof(f6869,plain,(
% 34.40/4.77 spl0_95 <=> c_Groups_Ozero__class_Ozero(tc_Int_Oint)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f6872,plain,(
% 34.40/4.77 ~class_Rings_Ono__zero__divisors(tc_Int_Oint)|c_Groups_Oone__class_Oone(tc_Int_Oint)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Groups_Ozero__class_Ozero(tc_Int_Oint)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
% 34.40/4.77 inference(resolution,[status(thm)],[f1341,f3530])).
% 34.40/4.77 fof(f6873,plain,(
% 34.40/4.77 ~spl0_93|spl0_94|spl0_95),
% 34.40/4.77 inference(split_clause,[status(thm)],[f6872,f6863,f6866,f6869])).
% 34.40/4.77 fof(f6876,plain,(
% 34.40/4.77 spl0_96 <=> class_Rings_Ono__zero__divisors(tc_RealDef_Oreal)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f6878,plain,(
% 34.40/4.77 ~class_Rings_Ono__zero__divisors(tc_RealDef_Oreal)|spl0_96),
% 34.40/4.77 inference(component_clause,[status(thm)],[f6876])).
% 34.40/4.77 fof(f6879,plain,(
% 34.40/4.77 ~class_Rings_Ono__zero__divisors(tc_RealDef_Oreal)|c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 34.40/4.77 inference(resolution,[status(thm)],[f1341,f2171])).
% 34.40/4.77 fof(f6880,plain,(
% 34.40/4.77 ~spl0_96|spl0_24|spl0_4),
% 34.40/4.77 inference(split_clause,[status(thm)],[f6879,f6876,f5326,f5018])).
% 34.40/4.77 fof(f6883,plain,(
% 34.40/4.77 spl0_97 <=> ~X0=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X0=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f6890,plain,(
% 34.40/4.77 spl0_98 <=> ~X0=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|X0=c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f6893,plain,(
% 34.40/4.77 ![X0]: (~class_Rings_Ono__zero__divisors(tc_Int_Oint)|~X0=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Groups_Oone__class_Oone(tc_Int_Oint)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|X0=c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f3530,f1341])).
% 34.40/4.77 fof(f6894,plain,(
% 34.40/4.77 ~spl0_93|spl0_98|spl0_94),
% 34.40/4.77 inference(split_clause,[status(thm)],[f6893,f6863,f6890,f6866])).
% 34.40/4.77 fof(f6897,plain,(
% 34.40/4.77 spl0_99 <=> ~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|X2=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f6898,plain,(
% 34.40/4.77 ![X0,X1,X2]: (~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|X2=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_99)),
% 34.40/4.77 inference(component_clause,[status(thm)],[f6897])).
% 34.40/4.77 fof(f6900,plain,(
% 34.40/4.77 ![X0,X1,X2]: (~class_Rings_Ono__zero__divisors(tc_RealDef_Oreal)|~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|X2=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f2089,f1341])).
% 34.40/4.77 fof(f6901,plain,(
% 34.40/4.77 ~spl0_96|spl0_99),
% 34.40/4.77 inference(split_clause,[status(thm)],[f6900,f6876,f6897])).
% 34.40/4.77 fof(f6902,plain,(
% 34.40/4.77 spl0_100 <=> ~X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f6905,plain,(
% 34.40/4.77 ![X0]: (~class_Rings_Ono__zero__divisors(tc_RealDef_Oreal)|~X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f2171,f1341])).
% 34.40/4.77 fof(f6906,plain,(
% 34.40/4.77 ~spl0_96|spl0_100|spl0_24),
% 34.40/4.77 inference(split_clause,[status(thm)],[f6905,f6876,f6902,f5326])).
% 34.40/4.77 fof(f6907,plain,(
% 34.40/4.77 spl0_101 <=> ~c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f6910,plain,(
% 34.40/4.77 ![X0,X1]: (~class_Rings_Ono__zero__divisors(tc_RealDef_Oreal)|~c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f5009,f1341])).
% 34.40/4.77 fof(f6911,plain,(
% 34.40/4.77 ~spl0_96|spl0_101),
% 34.40/4.77 inference(split_clause,[status(thm)],[f6910,f6876,f6907])).
% 34.40/4.77 fof(f6916,plain,(
% 34.40/4.77 spl0_102 <=> ~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|X1=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f6919,plain,(
% 34.40/4.77 ![X0,X1]: (~class_Rings_Ono__zero__divisors(tc_RealDef_Oreal)|~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|X1=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f2090,f1341])).
% 34.40/4.77 fof(f6920,plain,(
% 34.40/4.77 ~spl0_96|spl0_102),
% 34.40/4.77 inference(split_clause,[status(thm)],[f6919,f6876,f6916])).
% 34.40/4.77 fof(f6923,plain,(
% 34.40/4.77 spl0_103 <=> class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f6925,plain,(
% 34.40/4.77 ~class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex)|spl0_103),
% 34.40/4.77 inference(component_clause,[status(thm)],[f6923])).
% 34.40/4.77 fof(f6926,plain,(
% 34.40/4.77 spl0_104 <=> ~c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,X1)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|X0=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,X1)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f6929,plain,(
% 34.40/4.77 ![X0,X1]: (~class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex)|~c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,X1)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|X0=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,X1)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f1759,f1341])).
% 34.40/4.77 fof(f6930,plain,(
% 34.40/4.77 ~spl0_103|spl0_104),
% 34.40/4.77 inference(split_clause,[status(thm)],[f6929,f6923,f6926])).
% 34.40/4.77 fof(f6931,plain,(
% 34.40/4.77 $false|spl0_103),
% 34.40/4.77 inference(forward_subsumption_resolution,[status(thm)],[f6925,f4689])).
% 34.40/4.77 fof(f6932,plain,(
% 34.40/4.77 spl0_103),
% 34.40/4.77 inference(contradiction_clause,[status(thm)],[f6931])).
% 34.40/4.77 fof(f6933,plain,(
% 34.40/4.77 $false|spl0_91),
% 34.40/4.77 inference(forward_subsumption_resolution,[status(thm)],[f6855,f4585])).
% 34.40/4.77 fof(f6934,plain,(
% 34.40/4.77 spl0_91),
% 34.40/4.77 inference(contradiction_clause,[status(thm)],[f6933])).
% 34.40/4.77 fof(f6935,plain,(
% 34.40/4.77 $false|spl0_93),
% 34.40/4.77 inference(forward_subsumption_resolution,[status(thm)],[f6865,f4536])).
% 34.40/4.77 fof(f6936,plain,(
% 34.40/4.77 spl0_93),
% 34.40/4.77 inference(contradiction_clause,[status(thm)],[f6935])).
% 34.40/4.77 fof(f6937,plain,(
% 34.40/4.77 $false|spl0_96),
% 34.40/4.77 inference(forward_subsumption_resolution,[status(thm)],[f6878,f4641])).
% 34.40/4.77 fof(f6938,plain,(
% 34.40/4.77 spl0_96),
% 34.40/4.77 inference(contradiction_clause,[status(thm)],[f6937])).
% 34.40/4.77 fof(f6939,plain,(
% 34.40/4.77 $false|~spl0_94),
% 34.40/4.77 inference(forward_subsumption_resolution,[status(thm)],[f6867,f3646])).
% 34.40/4.77 fof(f6940,plain,(
% 34.40/4.77 ~spl0_94),
% 34.40/4.77 inference(contradiction_clause,[status(thm)],[f6939])).
% 34.40/4.77 fof(f6948,plain,(
% 34.40/4.77 spl0_106 <=> class_Rings_Oring__no__zero__divisors(tc_Int_Oint)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f6950,plain,(
% 34.40/4.77 ~class_Rings_Oring__no__zero__divisors(tc_Int_Oint)|spl0_106),
% 34.40/4.77 inference(component_clause,[status(thm)],[f6948])).
% 34.40/4.77 fof(f6955,plain,(
% 34.40/4.77 spl0_107 <=> class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f6957,plain,(
% 34.40/4.77 ~class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal)|spl0_107),
% 34.40/4.77 inference(component_clause,[status(thm)],[f6955])).
% 34.40/4.77 fof(f6984,plain,(
% 34.40/4.77 spl0_108 <=> class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f6986,plain,(
% 34.40/4.77 ~class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex)|spl0_108),
% 34.40/4.77 inference(component_clause,[status(thm)],[f6984])).
% 34.40/4.77 fof(f7054,plain,(
% 34.40/4.77 spl0_111 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)),v_w____)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f7055,plain,(
% 34.40/4.77 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)),v_w____)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~spl0_111),
% 34.40/4.77 inference(component_clause,[status(thm)],[f7054])).
% 34.40/4.77 fof(f7056,plain,(
% 34.40/4.77 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)),v_w____)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|spl0_111),
% 34.40/4.77 inference(component_clause,[status(thm)],[f7054])).
% 34.40/4.77 fof(f7099,plain,(
% 34.40/4.77 spl0_115 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)),v_w____)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f7100,plain,(
% 34.40/4.77 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)),v_w____)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~spl0_115),
% 34.40/4.77 inference(component_clause,[status(thm)],[f7099])).
% 34.40/4.77 fof(f7101,plain,(
% 34.40/4.77 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)),v_w____)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|spl0_115),
% 34.40/4.77 inference(component_clause,[status(thm)],[f7099])).
% 34.40/4.77 fof(f7102,plain,(
% 34.40/4.77 spl0_116 <=> c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)),v_w____))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f7103,plain,(
% 34.40/4.77 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)),v_w____))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_116),
% 34.40/4.77 inference(component_clause,[status(thm)],[f7102])).
% 34.40/4.77 fof(f7131,plain,(
% 34.40/4.77 $false|spl0_108),
% 34.40/4.77 inference(forward_subsumption_resolution,[status(thm)],[f6986,f4683])).
% 34.40/4.77 fof(f7132,plain,(
% 34.40/4.77 spl0_108),
% 34.40/4.77 inference(contradiction_clause,[status(thm)],[f7131])).
% 34.40/4.77 fof(f7133,plain,(
% 34.40/4.77 $false|spl0_106),
% 34.40/4.77 inference(forward_subsumption_resolution,[status(thm)],[f6950,f4525])).
% 34.40/4.77 fof(f7134,plain,(
% 34.40/4.77 spl0_106),
% 34.40/4.77 inference(contradiction_clause,[status(thm)],[f7133])).
% 34.40/4.77 fof(f7135,plain,(
% 34.40/4.77 $false|spl0_107),
% 34.40/4.77 inference(forward_subsumption_resolution,[status(thm)],[f6957,f4628])).
% 34.40/4.77 fof(f7136,plain,(
% 34.40/4.77 spl0_107),
% 34.40/4.77 inference(contradiction_clause,[status(thm)],[f7135])).
% 34.40/4.77 fof(f7896,plain,(
% 34.40/4.77 c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))=c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)),
% 34.40/4.77 inference(resolution,[status(thm)],[f1655,f4694])).
% 34.40/4.77 fof(f7897,plain,(
% 34.40/4.77 c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),
% 34.40/4.77 inference(resolution,[status(thm)],[f1645,f4685])).
% 34.40/4.77 fof(f7948,plain,(
% 34.40/4.77 ![X0]: (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 34.40/4.77 inference(resolution,[status(thm)],[f1641,f4616])).
% 34.40/4.77 fof(f7949,plain,(
% 34.40/4.77 ![X0,X1]: (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0))|X0=X1)),
% 34.40/4.77 inference(backward_subsumption_resolution,[status(thm)],[f5300,f7948])).
% 34.40/4.77 fof(f7950,plain,(
% 34.40/4.77 ![X0,X1]: (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)),X1)|X0=X1)),
% 34.40/4.77 inference(backward_subsumption_resolution,[status(thm)],[f5044,f7948])).
% 34.40/4.77 fof(f7952,plain,(
% 34.40/4.77 ![X0,X1,X2]: (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X2,X0))|X0=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2))),
% 34.40/4.77 inference(backward_subsumption_resolution,[status(thm)],[f5867,f7948])).
% 34.40/4.77 fof(f7955,plain,(
% 34.40/4.77 spl0_162 <=> class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f7957,plain,(
% 34.40/4.77 ~class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex)|spl0_162),
% 34.40/4.77 inference(component_clause,[status(thm)],[f7955])).
% 34.40/4.77 fof(f7958,plain,(
% 34.40/4.77 spl0_163 <=> c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)=c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f7961,plain,(
% 34.40/4.77 ~class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex)|c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)=c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)),
% 34.40/4.77 inference(resolution,[status(thm)],[f1652,f7896])).
% 34.40/4.77 fof(f7962,plain,(
% 34.40/4.77 ~spl0_162|spl0_163),
% 34.40/4.77 inference(split_clause,[status(thm)],[f7961,f7955,f7958])).
% 34.40/4.77 fof(f7963,plain,(
% 34.40/4.77 spl0_164 <=> class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f7965,plain,(
% 34.40/4.77 ~class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal)|spl0_164),
% 34.40/4.77 inference(component_clause,[status(thm)],[f7963])).
% 34.40/4.77 fof(f7979,plain,(
% 34.40/4.77 $false|spl0_162),
% 34.40/4.77 inference(forward_subsumption_resolution,[status(thm)],[f7957,f4685])).
% 34.40/4.77 fof(f7980,plain,(
% 34.40/4.77 spl0_162),
% 34.40/4.77 inference(contradiction_clause,[status(thm)],[f7979])).
% 34.40/4.77 fof(f7981,plain,(
% 34.40/4.77 $false|spl0_164),
% 34.40/4.77 inference(forward_subsumption_resolution,[status(thm)],[f7965,f4634])).
% 34.40/4.77 fof(f7982,plain,(
% 34.40/4.77 spl0_164),
% 34.40/4.77 inference(contradiction_clause,[status(thm)],[f7981])).
% 34.40/4.77 fof(f7993,plain,(
% 34.40/4.77 spl0_166 <=> class_Rings_Odivision__ring__inverse__zero(tc_Complex_Ocomplex)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f7995,plain,(
% 34.40/4.77 ~class_Rings_Odivision__ring__inverse__zero(tc_Complex_Ocomplex)|spl0_166),
% 34.40/4.77 inference(component_clause,[status(thm)],[f7993])).
% 34.40/4.77 fof(f7996,plain,(
% 34.40/4.77 spl0_167 <=> c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f7999,plain,(
% 34.40/4.77 ~class_Rings_Odivision__ring__inverse__zero(tc_Complex_Ocomplex)|c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),
% 34.40/4.77 inference(resolution,[status(thm)],[f1640,f7897])).
% 34.40/4.77 fof(f8000,plain,(
% 34.40/4.77 ~spl0_166|spl0_167),
% 34.40/4.77 inference(split_clause,[status(thm)],[f7999,f7993,f7996])).
% 34.40/4.77 fof(f8001,plain,(
% 34.40/4.77 spl0_168 <=> class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f8003,plain,(
% 34.40/4.77 ~class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal)|spl0_168),
% 34.40/4.77 inference(component_clause,[status(thm)],[f8001])).
% 34.40/4.77 fof(f8014,plain,(
% 34.40/4.77 $false|spl0_166),
% 34.40/4.77 inference(forward_subsumption_resolution,[status(thm)],[f7995,f4676])).
% 34.40/4.77 fof(f8015,plain,(
% 34.40/4.77 spl0_166),
% 34.40/4.77 inference(contradiction_clause,[status(thm)],[f8014])).
% 34.40/4.77 fof(f8016,plain,(
% 34.40/4.77 $false|spl0_168),
% 34.40/4.77 inference(forward_subsumption_resolution,[status(thm)],[f8003,f4616])).
% 34.40/4.77 fof(f8017,plain,(
% 34.40/4.77 spl0_168),
% 34.40/4.77 inference(contradiction_clause,[status(thm)],[f8016])).
% 34.40/4.77 fof(f8018,plain,(
% 34.40/4.77 spl0_169 <=> class_Rings_Odivision__ring(tc_Complex_Ocomplex)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f8020,plain,(
% 34.40/4.77 ~class_Rings_Odivision__ring(tc_Complex_Ocomplex)|spl0_169),
% 34.40/4.77 inference(component_clause,[status(thm)],[f8018])).
% 34.40/4.77 fof(f8023,plain,(
% 34.40/4.77 spl0_170 <=> class_Rings_Odivision__ring(tc_RealDef_Oreal)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f8025,plain,(
% 34.40/4.77 ~class_Rings_Odivision__ring(tc_RealDef_Oreal)|spl0_170),
% 34.40/4.77 inference(component_clause,[status(thm)],[f8023])).
% 34.40/4.77 fof(f8036,plain,(
% 34.40/4.77 $false|spl0_170),
% 34.40/4.77 inference(forward_subsumption_resolution,[status(thm)],[f8025,f4648])).
% 34.40/4.77 fof(f8037,plain,(
% 34.40/4.77 spl0_170),
% 34.40/4.77 inference(contradiction_clause,[status(thm)],[f8036])).
% 34.40/4.77 fof(f8038,plain,(
% 34.40/4.77 $false|spl0_169),
% 34.40/4.77 inference(forward_subsumption_resolution,[status(thm)],[f8020,f4694])).
% 34.40/4.77 fof(f8039,plain,(
% 34.40/4.77 spl0_169),
% 34.40/4.77 inference(contradiction_clause,[status(thm)],[f8038])).
% 34.40/4.77 fof(f8088,plain,(
% 34.40/4.77 spl0_171 <=> class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f8090,plain,(
% 34.40/4.77 ~class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex)|spl0_171),
% 34.40/4.77 inference(component_clause,[status(thm)],[f8088])).
% 34.40/4.77 fof(f8122,plain,(
% 34.40/4.77 spl0_178 <=> class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f8124,plain,(
% 34.40/4.77 ~class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal)|spl0_178),
% 34.40/4.77 inference(component_clause,[status(thm)],[f8122])).
% 34.40/4.77 fof(f8125,plain,(
% 34.40/4.77 spl0_179 <=> ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1),X2)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2))),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f8128,plain,(
% 34.40/4.77 ![X0,X1,X2]: (~class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1),X2)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2)))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f5901,f1392])).
% 34.40/4.77 fof(f8129,plain,(
% 34.40/4.77 ~spl0_178|spl0_179),
% 34.40/4.77 inference(split_clause,[status(thm)],[f8128,f8122,f8125])).
% 34.40/4.77 fof(f8130,plain,(
% 34.40/4.77 spl0_180 <=> ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),X2)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2))),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f8133,plain,(
% 34.40/4.77 ![X0,X1,X2]: (~class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),X2)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2)))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f6805,f1392])).
% 34.40/4.77 fof(f8134,plain,(
% 34.40/4.77 ~spl0_171|spl0_180),
% 34.40/4.77 inference(split_clause,[status(thm)],[f8133,f8088,f8130])).
% 34.40/4.77 fof(f8135,plain,(
% 34.40/4.77 $false|spl0_178),
% 34.40/4.77 inference(forward_subsumption_resolution,[status(thm)],[f8124,f4619])).
% 34.40/4.77 fof(f8136,plain,(
% 34.40/4.77 spl0_178),
% 34.40/4.77 inference(contradiction_clause,[status(thm)],[f8135])).
% 34.40/4.77 fof(f8137,plain,(
% 34.40/4.77 $false|spl0_171),
% 34.40/4.77 inference(forward_subsumption_resolution,[status(thm)],[f8090,f4678])).
% 34.40/4.77 fof(f8138,plain,(
% 34.40/4.77 spl0_171),
% 34.40/4.77 inference(contradiction_clause,[status(thm)],[f8137])).
% 34.40/4.77 fof(f8294,plain,(
% 34.40/4.77 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))|~spl0_73|spl0_72),
% 34.40/4.77 inference(resolution,[status(thm)],[f6132,f6189])).
% 34.40/4.77 fof(f8489,plain,(
% 34.40/4.77 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))))|spl0_67|~spl0_23),
% 34.40/4.77 inference(resolution,[status(thm)],[f5914,f5318])).
% 34.40/4.77 fof(f8598,plain,(
% 34.40/4.77 ![X0]: (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=X0|~spl0_47)),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f5648,f7949])).
% 34.40/4.77 fof(f8599,plain,(
% 34.40/4.77 spl0_48|spl0_49|~spl0_47),
% 34.40/4.77 inference(split_clause,[status(thm)],[f8598,f5660,f5667,f5647])).
% 34.40/4.77 fof(f8606,plain,(
% 34.40/4.77 ![X0]: (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0)|c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=X0|~spl0_47)),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f5648,f7950])).
% 34.40/4.77 fof(f8607,plain,(
% 34.40/4.77 spl0_48|spl0_50|~spl0_47),
% 34.40/4.77 inference(split_clause,[status(thm)],[f8606,f5660,f5672,f5647])).
% 34.40/4.77 fof(f8693,plain,(
% 34.40/4.77 ![X0,X1,X2]: (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X0)),X2)|X0=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f2090,f7952])).
% 34.40/4.77 fof(f8695,plain,(
% 34.40/4.77 ![X0,X1]: (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0))|X0=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f5352,f7952])).
% 34.40/4.77 fof(f8699,plain,(
% 34.40/4.77 ![X0,X1]: (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)),X1)|X0=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f5352,f8693])).
% 34.40/4.77 fof(f8713,plain,(
% 34.40/4.77 spl0_191 <=> ~c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f8716,plain,(
% 34.40/4.77 ![X0]: (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~spl0_47)),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f5648,f8695])).
% 34.40/4.77 fof(f8717,plain,(
% 34.40/4.77 spl0_48|spl0_191|~spl0_47),
% 34.40/4.77 inference(split_clause,[status(thm)],[f8716,f5660,f8713,f5647])).
% 34.40/4.77 fof(f8727,plain,(
% 34.40/4.77 spl0_193 <=> ~c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0)|c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f8730,plain,(
% 34.40/4.77 ![X0]: (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0)|c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~spl0_47)),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f5648,f8699])).
% 34.40/4.77 fof(f8731,plain,(
% 34.40/4.77 spl0_48|spl0_193|~spl0_47),
% 34.40/4.77 inference(split_clause,[status(thm)],[f8730,f5660,f8727,f5647])).
% 34.40/4.77 fof(f8738,plain,(
% 34.40/4.77 ![X0,X1,X2]: (~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1)),X2)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X0)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|X1=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_99)),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f2090,f6898])).
% 34.40/4.77 fof(f8742,plain,(
% 34.40/4.77 ![X0,X1,X2]: (~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|X1=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_99)),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f2090,f6898])).
% 34.40/4.77 fof(f8747,plain,(
% 34.40/4.77 ![X0,X1,X2]: (~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1)),X2)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_99)),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f5009,f8738])).
% 34.40/4.77 fof(f8749,plain,(
% 34.40/4.77 ![X0,X1,X2]: (~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1)),X2)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_99)),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f2090,f8738])).
% 34.40/4.77 fof(f8765,plain,(
% 34.40/4.77 spl0_195 <=> ~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)),X1)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f8768,plain,(
% 34.40/4.77 ![X0,X1]: (~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)),X1)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_99)),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f5352,f8747])).
% 34.40/4.77 fof(f8769,plain,(
% 34.40/4.77 spl0_195|spl0_24|~spl0_99),
% 34.40/4.77 inference(split_clause,[status(thm)],[f8768,f8765,f5326,f6897])).
% 34.40/4.77 fof(f8791,plain,(
% 34.40/4.77 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_56),
% 34.40/4.77 inference(resolution,[status(thm)],[f1871,f5743])).
% 34.40/4.77 fof(f8792,plain,(
% 34.40/4.77 ~spl0_55|spl0_24|~spl0_56),
% 34.40/4.77 inference(split_clause,[status(thm)],[f8791,f5737,f5326,f5742])).
% 34.40/4.77 fof(f8811,plain,(
% 34.40/4.77 spl0_196 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)),v_w____)))),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f8814,plain,(
% 34.40/4.77 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)),v_w____))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)),v_w____)))|spl0_115),
% 34.40/4.77 inference(resolution,[status(thm)],[f5559,f7101])).
% 34.40/4.77 fof(f8815,plain,(
% 34.40/4.77 spl0_116|spl0_196|spl0_115),
% 34.40/4.77 inference(split_clause,[status(thm)],[f8814,f7102,f8811,f7099])).
% 34.40/4.77 fof(f8827,plain,(
% 34.40/4.77 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~spl0_116|spl0_2),
% 34.40/4.77 inference(backward_demodulation,[status(thm)],[f7103,f4992])).
% 34.40/4.77 fof(f8828,plain,(
% 34.40/4.77 ~spl0_64|~spl0_116|spl0_2),
% 34.40/4.77 inference(split_clause,[status(thm)],[f8827,f5818,f7102,f4919])).
% 34.40/4.77 fof(f8957,plain,(
% 34.40/4.77 c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=c_Groups_Oone__class_Oone(tc_Nat_Onat)|c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
% 34.40/4.77 inference(resolution,[status(thm)],[f2665,f2682])).
% 34.40/4.77 fof(f8958,plain,(
% 34.40/4.77 spl0_40|spl0_92),
% 34.40/4.77 inference(split_clause,[status(thm)],[f8957,f5462,f6856])).
% 34.40/4.77 fof(f8959,plain,(
% 34.40/4.77 ![X0]: (~X0=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=c_Groups_Oone__class_Oone(tc_Nat_Onat)|X0=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f2665,f2682])).
% 34.40/4.77 fof(f8960,plain,(
% 34.40/4.77 spl0_97|spl0_40),
% 34.40/4.77 inference(split_clause,[status(thm)],[f8959,f6883,f5462])).
% 34.40/4.77 fof(f8990,plain,(
% 34.40/4.77 ![X0]: (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 34.40/4.77 inference(resolution,[status(thm)],[f1371,f4645])).
% 34.40/4.77 fof(f9178,plain,(
% 34.40/4.77 spl0_215 <=> class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f9180,plain,(
% 34.40/4.77 ~class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal)|spl0_215),
% 34.40/4.77 inference(component_clause,[status(thm)],[f9178])).
% 34.40/4.77 fof(f9183,plain,(
% 34.40/4.77 spl0_216 <=> class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f9185,plain,(
% 34.40/4.77 ~class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex)|spl0_216),
% 34.40/4.77 inference(component_clause,[status(thm)],[f9183])).
% 34.40/4.77 fof(f9191,plain,(
% 34.40/4.77 $false|spl0_216),
% 34.40/4.77 inference(forward_subsumption_resolution,[status(thm)],[f9185,f4680])).
% 34.40/4.77 fof(f9192,plain,(
% 34.40/4.77 spl0_216),
% 34.40/4.77 inference(contradiction_clause,[status(thm)],[f9191])).
% 34.40/4.77 fof(f9193,plain,(
% 34.40/4.77 $false|spl0_215),
% 34.40/4.77 inference(forward_subsumption_resolution,[status(thm)],[f9180,f4623])).
% 34.40/4.77 fof(f9194,plain,(
% 34.40/4.77 spl0_215),
% 34.40/4.77 inference(contradiction_clause,[status(thm)],[f9193])).
% 34.40/4.77 fof(f9218,plain,(
% 34.40/4.77 spl0_221 <=> ~c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,X1)=c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)|c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,X0)=c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,X1)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f9221,plain,(
% 34.40/4.77 ![X0,X1]: (~class_Rings_Odivision__ring(tc_Complex_Ocomplex)|~c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,X1)=c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)|c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,X0)=c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,X1))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f1759,f1518])).
% 34.40/4.77 fof(f9222,plain,(
% 34.40/4.77 ~spl0_169|spl0_221),
% 34.40/4.77 inference(split_clause,[status(thm)],[f9221,f8018,f9218])).
% 34.40/4.77 fof(f9223,plain,(
% 34.40/4.77 spl0_222 <=> ~c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1))=X0),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f9226,plain,(
% 34.40/4.77 ![X0,X1]: (~class_Rings_Odivision__ring(tc_RealDef_Oreal)|~c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1))=X0)),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f5009,f1518])).
% 34.40/4.77 fof(f9227,plain,(
% 34.40/4.77 ~spl0_170|spl0_222),
% 34.40/4.77 inference(split_clause,[status(thm)],[f9226,f8023,f9223])).
% 34.40/4.77 fof(f9228,plain,(
% 34.40/4.77 spl0_223 <=> ~c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)=c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f9231,plain,(
% 34.40/4.77 ![X0,X1]: (~class_Rings_Odivision__ring(tc_RealDef_Oreal)|~c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)=c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f1851,f1518])).
% 34.40/4.77 fof(f9232,plain,(
% 34.40/4.77 ~spl0_170|spl0_223),
% 34.40/4.77 inference(split_clause,[status(thm)],[f9231,f8023,f9228])).
% 34.40/4.77 fof(f9233,plain,(
% 34.40/4.77 spl0_224 <=> ~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1)=X0),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f9236,plain,(
% 34.40/4.77 ![X0,X1]: (~class_Rings_Odivision__ring(tc_RealDef_Oreal)|~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1)=X0)),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f2090,f1518])).
% 34.40/4.77 fof(f9237,plain,(
% 34.40/4.77 ~spl0_170|spl0_224),
% 34.40/4.77 inference(split_clause,[status(thm)],[f9236,f8023,f9233])).
% 34.40/4.77 fof(f9240,plain,(
% 34.40/4.77 ![X0,X1]: (c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,X1)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,X1)),X0))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f1759,f6835])).
% 34.40/4.77 fof(f9243,plain,(
% 34.40/4.77 spl0_225 <=> ~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),X1)=c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)|c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,X1)=X0),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f9246,plain,(
% 34.40/4.77 ![X0,X1]: (~class_Rings_Odivision__ring(tc_Complex_Ocomplex)|~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),X1)=c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)|c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,X1)=X0)),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f6835,f1518])).
% 34.40/4.77 fof(f9247,plain,(
% 34.40/4.77 ~spl0_169|spl0_225),
% 34.40/4.77 inference(split_clause,[status(thm)],[f9246,f8018,f9243])).
% 34.40/4.77 fof(f9356,plain,(
% 34.40/4.77 spl0_229 <=> ~c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,X1)=c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)|c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,X1))=X0),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f9359,plain,(
% 34.40/4.77 ![X0,X1]: (~class_Rings_Odivision__ring(tc_Complex_Ocomplex)|~c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,X1)=c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)|c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,X1))=X0)),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f9240,f1518])).
% 34.40/4.77 fof(f9360,plain,(
% 34.40/4.77 ~spl0_169|spl0_229),
% 34.40/4.77 inference(split_clause,[status(thm)],[f9359,f8018,f9356])).
% 34.40/4.77 fof(f9608,plain,(
% 34.40/4.77 spl0_242 <=> ~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|X0=c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f9619,plain,(
% 34.40/4.77 spl0_243 <=> ~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X0=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f9630,plain,(
% 34.40/4.77 spl0_244 <=> ~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),X1)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|X1=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|X0=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f9631,plain,(
% 34.40/4.77 ![X0,X1]: (~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),X1)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|X1=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|X0=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_244)),
% 34.40/4.77 inference(component_clause,[status(thm)],[f9630])).
% 34.40/4.77 fof(f9649,plain,(
% 34.40/4.77 ![X0,X1]: (~class_Rings_Ono__zero__divisors(tc_Int_Oint)|~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|X0=c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f3532,f1341])).
% 34.40/4.77 fof(f9650,plain,(
% 34.40/4.77 ~spl0_93|spl0_242),
% 34.40/4.77 inference(split_clause,[status(thm)],[f9649,f6863,f9608])).
% 34.40/4.77 fof(f9657,plain,(
% 34.40/4.77 ![X0,X1]: (~class_Rings_Ono__zero__divisors(tc_Nat_Onat)|~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X0=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f2920,f1341])).
% 34.40/4.77 fof(f9658,plain,(
% 34.40/4.77 ~spl0_91|spl0_243),
% 34.40/4.77 inference(split_clause,[status(thm)],[f9657,f6853,f9619])).
% 34.40/4.77 fof(f9665,plain,(
% 34.40/4.77 ![X0,X1]: (~class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex)|~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),X1)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|X1=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|X0=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f6835,f1341])).
% 34.40/4.77 fof(f9666,plain,(
% 34.40/4.77 ~spl0_103|spl0_244),
% 34.40/4.77 inference(split_clause,[status(thm)],[f9665,f6923,f9630])).
% 34.40/4.77 fof(f9755,plain,(
% 34.40/4.77 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~spl0_13|~spl0_76),
% 34.40/4.77 inference(forward_demodulation,[status(thm)],[f5151,f6145])).
% 34.40/4.77 fof(f9756,plain,(
% 34.40/4.77 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~spl0_13|~spl0_76),
% 34.40/4.77 inference(forward_demodulation,[status(thm)],[f5352,f9755])).
% 34.40/4.77 fof(f9757,plain,(
% 34.40/4.77 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~spl0_47|~spl0_13|~spl0_76),
% 34.40/4.77 inference(forward_demodulation,[status(thm)],[f5648,f9756])).
% 34.40/4.77 fof(f9758,plain,(
% 34.40/4.77 $false|spl0_55|~spl0_47|~spl0_13|~spl0_76),
% 34.40/4.77 inference(forward_subsumption_resolution,[status(thm)],[f9757,f5739])).
% 34.40/4.77 fof(f9759,plain,(
% 34.40/4.77 spl0_55|~spl0_47|~spl0_13|~spl0_76),
% 34.40/4.77 inference(contradiction_clause,[status(thm)],[f9758])).
% 34.40/4.77 fof(f9814,plain,(
% 34.40/4.77 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~spl0_74|~spl0_67),
% 34.40/4.77 inference(resolution,[status(thm)],[f6221,f5905])).
% 34.40/4.77 fof(f9857,plain,(
% 34.40/4.77 spl0_74|~spl0_85),
% 34.40/4.77 inference(split_clause,[status(thm)],[f6243,f6136,f6222])).
% 34.40/4.77 fof(f9879,plain,(
% 34.40/4.77 spl0_55|~spl0_74|~spl0_67),
% 34.40/4.77 inference(split_clause,[status(thm)],[f9814,f5737,f6136,f5904])).
% 34.40/4.77 fof(f9905,plain,(
% 34.40/4.77 spl0_250 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))))),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f9925,plain,(
% 34.40/4.77 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|spl0_73),
% 34.40/4.77 inference(resolution,[status(thm)],[f6133,f5124])).
% 34.40/4.77 fof(f9926,plain,(
% 34.40/4.77 spl0_85|spl0_84|spl0_73),
% 34.40/4.77 inference(split_clause,[status(thm)],[f9925,f6222,f6216,f6131])).
% 34.40/4.77 fof(f10022,plain,(
% 34.40/4.77 ![X0,X1]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),X1))|~spl0_79)),
% 34.40/4.77 inference(resolution,[status(thm)],[f6162,f2183])).
% 34.40/4.77 fof(f10023,plain,(
% 34.40/4.77 ![X0,X1]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),X1))|~spl0_79)),
% 34.40/4.77 inference(forward_demodulation,[status(thm)],[f5862,f10022])).
% 34.40/4.77 fof(f10024,plain,(
% 34.40/4.77 ![X0,X1]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))|~spl0_79)),
% 34.40/4.77 inference(forward_demodulation,[status(thm)],[f5862,f10023])).
% 34.40/4.77 fof(f10093,plain,(
% 34.40/4.77 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|spl0_56),
% 34.40/4.77 inference(resolution,[status(thm)],[f5744,f5124])).
% 34.40/4.77 fof(f10094,plain,(
% 34.40/4.77 spl0_88|spl0_24|spl0_56),
% 34.40/4.77 inference(split_clause,[status(thm)],[f10093,f6438,f5326,f5742])).
% 34.40/4.77 fof(f10122,plain,(
% 34.40/4.77 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))|~spl0_84|~spl0_79),
% 34.40/4.77 inference(backward_demodulation,[status(thm)],[f6217,f6162])).
% 34.40/4.77 fof(f10124,plain,(
% 34.40/4.77 ![X0,X1]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))|~spl0_84|~spl0_79)),
% 34.40/4.77 inference(backward_demodulation,[status(thm)],[f6217,f10024])).
% 34.40/4.77 fof(f10125,plain,(
% 34.40/4.77 ![X0,X1]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))|~spl0_84|~spl0_79)),
% 34.40/4.77 inference(forward_demodulation,[status(thm)],[f6217,f10124])).
% 34.40/4.77 fof(f10126,plain,(
% 34.40/4.77 ![X0,X1]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))|~spl0_84|~spl0_79)),
% 34.40/4.77 inference(forward_demodulation,[status(thm)],[f8990,f10125])).
% 34.40/4.77 fof(f10127,plain,(
% 34.40/4.77 ![X0,X1]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~spl0_84|~spl0_79)),
% 34.40/4.77 inference(forward_demodulation,[status(thm)],[f8990,f10126])).
% 34.40/4.77 fof(f10128,plain,(
% 34.40/4.77 ![X0,X1]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)|~spl0_84|~spl0_79)),
% 34.40/4.77 inference(forward_subsumption_resolution,[status(thm)],[f10127,f4931])).
% 34.40/4.77 fof(f10137,plain,(
% 34.40/4.77 $false|~spl0_84|~spl0_79),
% 34.40/4.77 inference(backward_subsumption_resolution,[status(thm)],[f10122,f10128])).
% 34.40/4.77 fof(f10138,plain,(
% 34.40/4.77 ~spl0_84|~spl0_79),
% 34.40/4.77 inference(contradiction_clause,[status(thm)],[f10137])).
% 34.40/4.77 fof(f11520,plain,(
% 34.40/4.77 ![X0,X1,X2]: (c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,X1)=X2|~X0=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X2),X1)|X1=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),
% 34.40/4.77 inference(resolution,[status(thm)],[f1502,f4685])).
% 34.40/4.77 fof(f11521,plain,(
% 34.40/4.77 ![X0,X1,X2]: (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1)=X2|~X0=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1)|X1=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 34.40/4.77 inference(resolution,[status(thm)],[f1502,f4634])).
% 34.40/4.77 fof(f11547,plain,(
% 34.40/4.77 ![X0,X1,X2]: (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1)=X2|~X0=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2)|X1=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f2090,f11521])).
% 34.40/4.77 fof(f11904,plain,(
% 34.40/4.77 ![X0,X1,X2]: (~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)|X0=X2|X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f2920,f2673])).
% 34.40/4.77 fof(f12364,plain,(
% 34.40/4.77 spl0_350 <=> class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f12366,plain,(
% 34.40/4.77 ~class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal)|spl0_350),
% 34.40/4.77 inference(component_clause,[status(thm)],[f12364])).
% 34.40/4.77 fof(f12367,plain,(
% 34.40/4.77 spl0_351 <=> ~c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X1))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f12368,plain,(
% 34.40/4.77 ![X0,X1]: (~c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X1))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_351)),
% 34.40/4.77 inference(component_clause,[status(thm)],[f12367])).
% 34.40/4.77 fof(f12370,plain,(
% 34.40/4.77 ![X0,X1]: (~class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal)|~c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X1))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f5009,f2846])).
% 34.40/4.77 fof(f12371,plain,(
% 34.40/4.77 ~spl0_350|spl0_351),
% 34.40/4.77 inference(split_clause,[status(thm)],[f12370,f12364,f12367])).
% 34.40/4.77 fof(f12416,plain,(
% 34.40/4.77 spl0_358 <=> ~c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1),X1))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f12419,plain,(
% 34.40/4.77 ![X0,X1]: (~class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal)|~c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1),X1))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f5009,f2846])).
% 34.40/4.77 fof(f12420,plain,(
% 34.40/4.77 ~spl0_350|spl0_358),
% 34.40/4.77 inference(split_clause,[status(thm)],[f12419,f12364,f12416])).
% 34.40/4.77 fof(f12423,plain,(
% 34.40/4.77 $false|spl0_350),
% 34.40/4.77 inference(forward_subsumption_resolution,[status(thm)],[f12366,f4626])).
% 34.40/4.77 fof(f12424,plain,(
% 34.40/4.77 spl0_350),
% 34.40/4.77 inference(contradiction_clause,[status(thm)],[f12423])).
% 34.40/4.77 fof(f12467,plain,(
% 34.40/4.77 spl0_365 <=> ~c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X1))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|X1=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f12470,plain,(
% 34.40/4.77 ![X0,X1]: (~class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal)|~c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X1))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|X1=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f5009,f2847])).
% 34.40/4.77 fof(f12471,plain,(
% 34.40/4.77 ~spl0_350|spl0_365),
% 34.40/4.77 inference(split_clause,[status(thm)],[f12470,f12364,f12467])).
% 34.40/4.77 fof(f12516,plain,(
% 34.40/4.77 spl0_372 <=> ~c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1),X1))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f12517,plain,(
% 34.40/4.77 ![X0,X1]: (~c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1),X1))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_372)),
% 34.40/4.77 inference(component_clause,[status(thm)],[f12516])).
% 34.40/4.77 fof(f12519,plain,(
% 34.40/4.77 ![X0,X1]: (~class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal)|~c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1),X1))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f5009,f2847])).
% 34.40/4.77 fof(f12520,plain,(
% 34.40/4.77 ~spl0_350|spl0_372),
% 34.40/4.77 inference(split_clause,[status(thm)],[f12519,f12364,f12516])).
% 34.40/4.77 fof(f12624,plain,(
% 34.40/4.77 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 34.40/4.77 inference(resolution,[status(thm)],[f1666,f4635])).
% 34.40/4.77 fof(f12625,plain,(
% 34.40/4.77 $false|spl0_64),
% 34.40/4.77 inference(forward_subsumption_resolution,[status(thm)],[f12624,f5820])).
% 34.40/4.77 fof(f12626,plain,(
% 34.40/4.77 spl0_64),
% 34.40/4.77 inference(contradiction_clause,[status(thm)],[f12625])).
% 34.40/4.77 fof(f12642,plain,(
% 34.40/4.77 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 34.40/4.77 inference(resolution,[status(thm)],[f1668,f4635])).
% 34.40/4.77 fof(f12817,plain,(
% 34.40/4.77 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))))|c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)))|spl0_85),
% 34.40/4.77 inference(resolution,[status(thm)],[f6224,f5559])).
% 34.40/4.77 fof(f12818,plain,(
% 34.40/4.77 spl0_250|spl0_84|spl0_85),
% 34.40/4.77 inference(split_clause,[status(thm)],[f12817,f9905,f6216,f6222])).
% 34.40/4.77 fof(f12851,plain,(
% 34.40/4.77 spl0_385 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)),v_w____)))),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f12853,plain,(
% 34.40/4.77 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)),v_w____)))|spl0_385),
% 34.40/4.77 inference(component_clause,[status(thm)],[f12851])).
% 34.40/4.77 fof(f12854,plain,(
% 34.40/4.77 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)),v_w____)))|c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)),v_w____))|~spl0_111),
% 34.40/4.77 inference(resolution,[status(thm)],[f7055,f1871])).
% 34.40/4.77 fof(f12855,plain,(
% 34.40/4.77 ~spl0_385|spl0_116|~spl0_111),
% 34.40/4.77 inference(split_clause,[status(thm)],[f12854,f12851,f7102,f7054])).
% 34.40/4.77 fof(f12967,plain,(
% 34.40/4.77 spl0_388 <=> ~c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f12970,plain,(
% 34.40/4.77 ![X0]: (~c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_351|~spl0_47)),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f5648,f12368])).
% 34.40/4.77 fof(f12971,plain,(
% 34.40/4.77 spl0_388|spl0_48|~spl0_351|~spl0_47),
% 34.40/4.77 inference(split_clause,[status(thm)],[f12970,f12967,f5660,f12367,f5647])).
% 34.40/4.77 fof(f12983,plain,(
% 34.40/4.77 spl0_390 <=> ~c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f12986,plain,(
% 34.40/4.77 ![X0]: (~c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_372|~spl0_47)),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f5648,f12517])).
% 34.40/4.77 fof(f12987,plain,(
% 34.40/4.77 spl0_390|spl0_48|~spl0_372|~spl0_47),
% 34.40/4.77 inference(split_clause,[status(thm)],[f12986,f12983,f5660,f12516,f5647])).
% 34.40/4.77 fof(f13186,plain,(
% 34.40/4.77 spl0_394 <=> class_Rings_Olinordered__ring__strict(tc_Int_Oint)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f13188,plain,(
% 34.40/4.77 ~class_Rings_Olinordered__ring__strict(tc_Int_Oint)|spl0_394),
% 34.40/4.77 inference(component_clause,[status(thm)],[f13186])).
% 34.40/4.77 fof(f13189,plain,(
% 34.40/4.77 spl0_395 <=> ~c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X0),c_Groups_Oone__class_Oone(tc_Int_Oint))=c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f13192,plain,(
% 34.40/4.77 ![X0]: (~class_Rings_Olinordered__ring__strict(tc_Int_Oint)|~c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X0),c_Groups_Oone__class_Oone(tc_Int_Oint))=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Groups_Oone__class_Oone(tc_Int_Oint)=c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f3530,f2847])).
% 34.40/4.77 fof(f13193,plain,(
% 34.40/4.77 ~spl0_394|spl0_395|spl0_94),
% 34.40/4.77 inference(split_clause,[status(thm)],[f13192,f13186,f13189,f6866])).
% 34.40/4.77 fof(f13194,plain,(
% 34.40/4.77 spl0_396 <=> ~c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X0))=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|X0=c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f13197,plain,(
% 34.40/4.77 ![X0]: (~class_Rings_Olinordered__ring__strict(tc_Int_Oint)|~c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X0))=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|X0=c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f3530,f2847])).
% 34.40/4.77 fof(f13198,plain,(
% 34.40/4.77 ~spl0_394|spl0_396),
% 34.40/4.77 inference(split_clause,[status(thm)],[f13197,f13186,f13194])).
% 34.40/4.77 fof(f13199,plain,(
% 34.40/4.77 spl0_397 <=> ~c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X0),c_Groups_Oone__class_Oone(tc_Int_Oint))=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|X0=c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f13202,plain,(
% 34.40/4.77 ![X0]: (~class_Rings_Olinordered__ring__strict(tc_Int_Oint)|~c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X0),c_Groups_Oone__class_Oone(tc_Int_Oint))=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|X0=c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f3530,f2846])).
% 34.40/4.77 fof(f13203,plain,(
% 34.40/4.77 ~spl0_394|spl0_397),
% 34.40/4.77 inference(split_clause,[status(thm)],[f13202,f13186,f13199])).
% 34.40/4.77 fof(f13204,plain,(
% 34.40/4.77 spl0_398 <=> ~c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X0))=c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f13207,plain,(
% 34.40/4.77 ![X0]: (~class_Rings_Olinordered__ring__strict(tc_Int_Oint)|~c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X0))=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Groups_Oone__class_Oone(tc_Int_Oint)=c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f3530,f2846])).
% 34.40/4.77 fof(f13208,plain,(
% 34.40/4.77 ~spl0_394|spl0_398|spl0_94),
% 34.40/4.77 inference(split_clause,[status(thm)],[f13207,f13186,f13204,f6866])).
% 34.40/4.77 fof(f13222,plain,(
% 34.40/4.77 $false|spl0_394),
% 34.40/4.77 inference(forward_subsumption_resolution,[status(thm)],[f13188,f4524])).
% 34.40/4.77 fof(f13223,plain,(
% 34.40/4.77 spl0_394),
% 34.40/4.77 inference(contradiction_clause,[status(thm)],[f13222])).
% 34.40/4.77 fof(f13327,plain,(
% 34.40/4.77 spl0_401 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X0)=X0),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f13330,plain,(
% 34.40/4.77 ![X0]: (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X0)=X0|c_Groups_Oone__class_Oone(tc_Nat_Onat)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
% 34.40/4.77 inference(resolution,[status(thm)],[f2927,f2673])).
% 34.40/4.77 fof(f13331,plain,(
% 34.40/4.77 spl0_401|spl0_40),
% 34.40/4.77 inference(split_clause,[status(thm)],[f13330,f13327,f5462])).
% 34.40/4.77 fof(f13387,plain,(
% 34.40/4.77 spl0_403 <=> X0=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f13390,plain,(
% 34.40/4.77 ![X0]: (X0=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),c_Groups_Oone__class_Oone(tc_Nat_Onat))|c_Groups_Oone__class_Oone(tc_Nat_Onat)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
% 34.40/4.77 inference(resolution,[status(thm)],[f2927,f11904])).
% 34.40/4.77 fof(f13391,plain,(
% 34.40/4.77 spl0_403|spl0_40),
% 34.40/4.77 inference(split_clause,[status(thm)],[f13390,f13387,f5462])).
% 34.40/4.77 fof(f13404,plain,(
% 34.40/4.77 spl0_404 <=> ~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),c_Groups_Oone__class_Oone(tc_Nat_Onat))=X1|X0=X1),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f13407,plain,(
% 34.40/4.77 ![X0,X1]: (~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),c_Groups_Oone__class_Oone(tc_Nat_Onat))=X1|X0=X1|c_Groups_Oone__class_Oone(tc_Nat_Onat)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f2927,f11904])).
% 34.40/4.77 fof(f13408,plain,(
% 34.40/4.77 spl0_404|spl0_40),
% 34.40/4.77 inference(split_clause,[status(thm)],[f13407,f13404,f5462])).
% 34.40/4.77 fof(f13412,plain,(
% 34.40/4.77 spl0_405 <=> ~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X0)=X1|X0=X1),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f13415,plain,(
% 34.40/4.77 ![X0,X1]: (~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X0)=X1|X0=X1|c_Groups_Oone__class_Oone(tc_Nat_Onat)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f2927,f2673])).
% 34.40/4.77 fof(f13416,plain,(
% 34.40/4.77 spl0_405|spl0_40),
% 34.40/4.77 inference(split_clause,[status(thm)],[f13415,f13412,f5462])).
% 34.40/4.77 fof(f13688,plain,(
% 34.40/4.77 spl0_412 <=> c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=X0),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f13689,plain,(
% 34.40/4.77 ![X0]: (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=X0|~spl0_412)),
% 34.40/4.77 inference(component_clause,[status(thm)],[f13688])).
% 34.40/4.77 fof(f13691,plain,(
% 34.40/4.77 ![X0]: (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=X0|c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 34.40/4.77 inference(resolution,[status(thm)],[f2171,f11547])).
% 34.40/4.77 fof(f13692,plain,(
% 34.40/4.77 spl0_412|spl0_24),
% 34.40/4.77 inference(split_clause,[status(thm)],[f13691,f13688,f5326])).
% 34.40/4.77 fof(f13715,plain,(
% 34.40/4.77 spl0_413 <=> c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=X1|~X0=X1),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f13718,plain,(
% 34.40/4.77 ![X0,X1]: (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=X1|~X0=X1|c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f2171,f11547])).
% 34.40/4.77 fof(f13719,plain,(
% 34.40/4.77 spl0_413|spl0_24),
% 34.40/4.77 inference(split_clause,[status(thm)],[f13718,f13715,f5326])).
% 34.40/4.77 fof(f13724,plain,(
% 34.40/4.77 spl0_414 <=> ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1),X2)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X2,X0))),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f13725,plain,(
% 34.40/4.77 ![X0,X1,X2]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1),X2)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X2,X0))|~spl0_414)),
% 34.40/4.77 inference(component_clause,[status(thm)],[f13724])).
% 34.40/4.77 fof(f13727,plain,(
% 34.40/4.77 ![X0,X1,X2]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1),X2)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X2,X0)))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f2171,f5005])).
% 34.40/4.77 fof(f13728,plain,(
% 34.40/4.77 ~spl0_64|spl0_414),
% 34.40/4.77 inference(split_clause,[status(thm)],[f13727,f5818,f13724])).
% 34.40/4.77 fof(f13729,plain,(
% 34.40/4.77 spl0_415 <=> ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X0),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X2,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f13730,plain,(
% 34.40/4.77 ![X0,X1,X2]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X0),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X2,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))|~spl0_415)),
% 34.40/4.77 inference(component_clause,[status(thm)],[f13729])).
% 34.40/4.77 fof(f13732,plain,(
% 34.40/4.77 ![X0,X1,X2]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X0),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X2,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f2171,f5005])).
% 34.40/4.77 fof(f13733,plain,(
% 34.40/4.77 spl0_415|~spl0_64),
% 34.40/4.77 inference(split_clause,[status(thm)],[f13732,f13729,f5818])).
% 34.40/4.77 fof(f13736,plain,(
% 34.40/4.77 spl0_416 <=> ~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f13739,plain,(
% 34.40/4.77 ![X0,X1]: (~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_99)),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f2171,f8742])).
% 34.40/4.77 fof(f13740,plain,(
% 34.40/4.77 spl0_416|spl0_24|~spl0_99),
% 34.40/4.77 inference(split_clause,[status(thm)],[f13739,f13736,f5326,f6897])).
% 34.40/4.77 fof(f13741,plain,(
% 34.40/4.77 spl0_417 <=> ~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f13744,plain,(
% 34.40/4.77 ![X0,X1]: (~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_99)),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f2171,f8749])).
% 34.40/4.77 fof(f13745,plain,(
% 34.40/4.77 spl0_417|spl0_24|~spl0_99),
% 34.40/4.77 inference(split_clause,[status(thm)],[f13744,f13741,f5326,f6897])).
% 34.40/4.77 fof(f13785,plain,(
% 34.40/4.77 spl0_418 <=> ~c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f13788,plain,(
% 34.40/4.77 ![X0]: (~class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal)|~c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f2171,f2847])).
% 34.40/4.77 fof(f13789,plain,(
% 34.40/4.77 ~spl0_350|spl0_418|spl0_24),
% 34.40/4.77 inference(split_clause,[status(thm)],[f13788,f12364,f13785,f5326])).
% 34.40/4.77 fof(f13790,plain,(
% 34.40/4.77 spl0_419 <=> ~c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f13793,plain,(
% 34.40/4.77 ![X0]: (~class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal)|~c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f2171,f2847])).
% 34.40/4.77 fof(f13794,plain,(
% 34.40/4.77 ~spl0_350|spl0_419),
% 34.40/4.77 inference(split_clause,[status(thm)],[f13793,f12364,f13790])).
% 34.40/4.77 fof(f13795,plain,(
% 34.40/4.77 spl0_420 <=> ~c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f13798,plain,(
% 34.40/4.77 ![X0]: (~class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal)|~c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f2171,f2846])).
% 34.40/4.77 fof(f13799,plain,(
% 34.40/4.77 ~spl0_350|spl0_420),
% 34.40/4.77 inference(split_clause,[status(thm)],[f13798,f12364,f13795])).
% 34.40/4.77 fof(f13800,plain,(
% 34.40/4.77 spl0_421 <=> ~c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f13803,plain,(
% 34.40/4.77 ![X0]: (~class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal)|~c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f2171,f2846])).
% 34.40/4.77 fof(f13804,plain,(
% 34.40/4.77 ~spl0_350|spl0_421|spl0_24),
% 34.40/4.77 inference(split_clause,[status(thm)],[f13803,f12364,f13800,f5326])).
% 34.40/4.77 fof(f13815,plain,(
% 34.40/4.77 ![X0,X1,X2]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1),X2)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X2,X0))|~spl0_412|~spl0_414)),
% 34.40/4.77 inference(forward_demodulation,[status(thm)],[f13689,f13725])).
% 34.40/4.77 fof(f13816,plain,(
% 34.40/4.77 ![X0,X1,X2]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X0),X2)|~spl0_412|~spl0_415)),
% 34.40/4.77 inference(forward_demodulation,[status(thm)],[f13689,f13730])).
% 34.40/4.77 fof(f13825,plain,(
% 34.40/4.77 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))))|~spl0_412|~spl0_73|spl0_72),
% 34.40/4.77 inference(backward_demodulation,[status(thm)],[f13689,f8294])).
% 34.40/4.77 fof(f13826,plain,(
% 34.40/4.77 $false|~spl0_412|~spl0_73|spl0_72),
% 34.40/4.77 inference(forward_subsumption_resolution,[status(thm)],[f13825,f4932])).
% 34.40/4.77 fof(f13827,plain,(
% 34.40/4.77 ~spl0_412|~spl0_73|spl0_72),
% 34.40/4.77 inference(contradiction_clause,[status(thm)],[f13826])).
% 34.40/4.77 fof(f13869,plain,(
% 34.40/4.77 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)),v_w____)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~spl0_115),
% 34.40/4.77 inference(resolution,[status(thm)],[f7100,f1857])).
% 34.40/4.77 fof(f13870,plain,(
% 34.40/4.77 spl0_111|~spl0_115),
% 34.40/4.77 inference(split_clause,[status(thm)],[f13869,f7054,f7099])).
% 34.40/4.77 fof(f13908,plain,(
% 34.40/4.77 ![X0,X1,X2]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1),X2)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X2,X0))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_412|~spl0_414)),
% 34.40/4.77 inference(resolution,[status(thm)],[f13815,f5559])).
% 34.40/4.77 fof(f13917,plain,(
% 34.40/4.77 ![X0,X1,X2]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1),X2)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|X1=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_412|~spl0_415)),
% 34.40/4.77 inference(resolution,[status(thm)],[f13816,f5559])).
% 34.40/4.77 fof(f13921,plain,(
% 34.40/4.77 spl0_424 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),X0)=X0),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f13924,plain,(
% 34.40/4.77 ![X0]: (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),X0)=X0|~spl0_412)),
% 34.40/4.77 inference(resolution,[status(thm)],[f13689,f5043])).
% 34.40/4.77 fof(f13925,plain,(
% 34.40/4.77 spl0_48|spl0_424|~spl0_412),
% 34.40/4.77 inference(split_clause,[status(thm)],[f13924,f5660,f13921,f13688])).
% 34.40/4.77 fof(f13974,plain,(
% 34.40/4.77 spl0_425 <=> X0=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f13977,plain,(
% 34.40/4.77 ![X0]: (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|X0=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))|~spl0_412)),
% 34.40/4.77 inference(resolution,[status(thm)],[f13689,f5087])).
% 34.40/4.77 fof(f13978,plain,(
% 34.40/4.77 spl0_48|spl0_425|~spl0_412),
% 34.40/4.77 inference(split_clause,[status(thm)],[f13977,f5660,f13974,f13688])).
% 34.40/4.77 fof(f13979,plain,(
% 34.40/4.77 spl0_426 <=> ~c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f13982,plain,(
% 34.40/4.77 ![X0]: (~c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_372|~spl0_412)),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f13689,f12517])).
% 34.40/4.77 fof(f13983,plain,(
% 34.40/4.77 spl0_426|spl0_48|~spl0_372|~spl0_412),
% 34.40/4.77 inference(split_clause,[status(thm)],[f13982,f13979,f5660,f12516,f13688])).
% 34.40/4.77 fof(f13984,plain,(
% 34.40/4.77 spl0_427 <=> ~c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f13987,plain,(
% 34.40/4.77 ![X0]: (~c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_351|~spl0_412)),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f13689,f12368])).
% 34.40/4.77 fof(f13988,plain,(
% 34.40/4.77 spl0_427|spl0_48|~spl0_351|~spl0_412),
% 34.40/4.77 inference(split_clause,[status(thm)],[f13987,f13984,f5660,f12367,f13688])).
% 34.40/4.77 fof(f13999,plain,(
% 34.40/4.77 spl0_428 <=> ~X0=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),X1)|X0=X1),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f14002,plain,(
% 34.40/4.77 ![X0,X1]: (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~X0=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),X1)|X0=X1|~spl0_412)),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f13689,f5043])).
% 34.40/4.77 fof(f14003,plain,(
% 34.40/4.77 spl0_48|spl0_428|~spl0_412),
% 34.40/4.77 inference(split_clause,[status(thm)],[f14002,f5660,f13999,f13688])).
% 34.40/4.77 fof(f14004,plain,(
% 34.40/4.77 spl0_429 <=> ~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))=X1|X0=X1),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f14007,plain,(
% 34.40/4.77 ![X0,X1]: (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))=X1|X0=X1|~spl0_412)),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f13689,f5087])).
% 34.40/4.77 fof(f14008,plain,(
% 34.40/4.77 spl0_48|spl0_429|~spl0_412),
% 34.40/4.77 inference(split_clause,[status(thm)],[f14007,f5660,f14004,f13688])).
% 34.40/4.77 fof(f14014,plain,(
% 34.40/4.77 spl0_431 <=> ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f14017,plain,(
% 34.40/4.77 ![X0]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~spl0_412)),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f13689,f1875])).
% 34.40/4.77 fof(f14018,plain,(
% 34.40/4.77 spl0_431|spl0_55|~spl0_412),
% 34.40/4.77 inference(split_clause,[status(thm)],[f14017,f14014,f5737,f13688])).
% 34.40/4.77 fof(f14023,plain,(
% 34.40/4.77 spl0_432 <=> ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f14026,plain,(
% 34.40/4.77 ![X0,X1]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_412|~spl0_414)),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f2171,f13908])).
% 34.40/4.77 fof(f14027,plain,(
% 34.40/4.77 spl0_432|spl0_88|spl0_24|~spl0_412|~spl0_414),
% 34.40/4.77 inference(split_clause,[status(thm)],[f14026,f14023,f6438,f5326,f13688,f13724])).
% 34.40/4.77 fof(f14084,plain,(
% 34.40/4.77 $false|~spl0_88),
% 34.40/4.77 inference(forward_subsumption_resolution,[status(thm)],[f6439,f12642])).
% 34.40/4.77 fof(f14085,plain,(
% 34.40/4.77 ~spl0_88),
% 34.40/4.77 inference(contradiction_clause,[status(thm)],[f14084])).
% 34.40/4.77 fof(f14091,plain,(
% 34.40/4.77 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~spl0_116|spl0_111),
% 34.40/4.77 inference(backward_demodulation,[status(thm)],[f7103,f7056])).
% 34.40/4.77 fof(f14092,plain,(
% 34.40/4.77 ~spl0_60|~spl0_116|spl0_111),
% 34.40/4.77 inference(split_clause,[status(thm)],[f14091,f5766,f7102,f7054])).
% 34.40/4.77 fof(f14104,plain,(
% 34.40/4.77 spl0_433 <=> ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f14107,plain,(
% 34.40/4.77 ![X0,X1]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_412|~spl0_415)),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f2171,f13917])).
% 34.40/4.77 fof(f14108,plain,(
% 34.40/4.77 spl0_433|spl0_88|spl0_24|~spl0_412|~spl0_415),
% 34.40/4.77 inference(split_clause,[status(thm)],[f14107,f14104,f6438,f5326,f13688,f13729])).
% 34.40/4.77 fof(f14231,plain,(
% 34.40/4.77 spl0_434 <=> ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f14234,plain,(
% 34.40/4.77 ![X0,X1]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f5353,f2176])).
% 34.40/4.77 fof(f14235,plain,(
% 34.40/4.77 ~spl0_64|spl0_434),
% 34.40/4.77 inference(split_clause,[status(thm)],[f14234,f5818,f14231])).
% 34.40/4.77 fof(f14236,plain,(
% 34.40/4.77 spl0_435 <=> ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f14239,plain,(
% 34.40/4.77 ![X0,X1]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f5353,f2176])).
% 34.40/4.77 fof(f14240,plain,(
% 34.40/4.77 ~spl0_64|spl0_435),
% 34.40/4.77 inference(split_clause,[status(thm)],[f14239,f5818,f14236])).
% 34.40/4.77 fof(f14302,plain,(
% 34.40/4.77 spl0_436 <=> ~X0=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f14305,plain,(
% 34.40/4.77 ![X0]: (~class_Rings_Odivision__ring(tc_RealDef_Oreal)|~X0=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f5353,f1518])).
% 34.40/4.77 fof(f14306,plain,(
% 34.40/4.77 ~spl0_170|spl0_436),
% 34.40/4.77 inference(split_clause,[status(thm)],[f14305,f8023,f14302])).
% 34.40/4.77 fof(f14412,plain,(
% 34.40/4.77 spl0_437 <=> ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f14415,plain,(
% 34.40/4.77 ![X0,X1]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f5353,f1991])).
% 34.40/4.77 fof(f14416,plain,(
% 34.40/4.77 ~spl0_64|spl0_437),
% 34.40/4.77 inference(split_clause,[status(thm)],[f14415,f5818,f14412])).
% 34.40/4.77 fof(f14423,plain,(
% 34.40/4.77 spl0_438 <=> ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f14426,plain,(
% 34.40/4.77 ![X0,X1]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f5353,f1991])).
% 34.40/4.77 fof(f14427,plain,(
% 34.40/4.77 ~spl0_64|spl0_438),
% 34.40/4.77 inference(split_clause,[status(thm)],[f14426,f5818,f14423])).
% 34.40/4.77 fof(f14476,plain,(
% 34.40/4.77 spl0_441 <=> c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),X0),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))=hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)),X0)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f14477,plain,(
% 34.40/4.77 ![X0]: (c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),X0),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))=hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)),X0)|~spl0_441)),
% 34.40/4.77 inference(component_clause,[status(thm)],[f14476])).
% 34.40/4.77 fof(f14479,plain,(
% 34.40/4.77 ![X0]: (c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),X0),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))=hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)),X0)|hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),
% 34.40/4.77 inference(resolution,[status(thm)],[f4997,f11520])).
% 34.40/4.77 fof(f14480,plain,(
% 34.40/4.77 spl0_441|spl0_0),
% 34.40/4.77 inference(split_clause,[status(thm)],[f14479,f14476,f4912])).
% 34.40/4.77 fof(f14483,plain,(
% 34.40/4.77 spl0_442 <=> ~hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),X0)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)),X0)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f14486,plain,(
% 34.40/4.77 ![X0]: (~hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),X0)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)),X0)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_244)),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f4997,f9631])).
% 34.40/4.77 fof(f14487,plain,(
% 34.40/4.77 spl0_442|spl0_0|~spl0_244),
% 34.40/4.77 inference(split_clause,[status(thm)],[f14486,f14483,f4912,f9630])).
% 34.40/4.77 fof(f14489,plain,(
% 34.40/4.77 spl0_443 <=> c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))=hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)),X1)|~X0=hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),X1)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f14492,plain,(
% 34.40/4.77 ![X0,X1]: (c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))=hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)),X1)|~X0=hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),X1)|hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f4997,f11520])).
% 34.40/4.77 fof(f14493,plain,(
% 34.40/4.77 spl0_443|spl0_0),
% 34.40/4.77 inference(split_clause,[status(thm)],[f14492,f14489,f4912])).
% 34.40/4.77 fof(f14506,plain,(
% 34.40/4.77 spl0_444 <=> ~hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),X0)=c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)|c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)),X0))=hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),
% 34.40/4.77 introduced(split_symbol_definition)).
% 34.40/4.77 fof(f14509,plain,(
% 34.40/4.77 ![X0]: (~class_Rings_Odivision__ring(tc_Complex_Ocomplex)|~hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),X0)=c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)|c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)),X0))=hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),
% 34.40/4.77 inference(paramodulation,[status(thm)],[f4997,f1518])).
% 34.40/4.77 fof(f14510,plain,(
% 34.40/4.77 ~spl0_169|spl0_444),
% 34.40/4.77 inference(split_clause,[status(thm)],[f14509,f8018,f14506])).
% 34.40/4.77 fof(f14515,plain,(
% 34.40/4.77 $false|~spl0_0),
% 34.40/4.77 inference(forward_subsumption_resolution,[status(thm)],[f4913,f1796])).
% 34.40/4.77 fof(f14516,plain,(
% 34.40/4.77 ~spl0_0),
% 34.40/4.77 inference(contradiction_clause,[status(thm)],[f14515])).
% 34.40/4.77 fof(f14518,plain,(
% 34.40/4.77 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))))|~spl0_441|spl0_385),
% 34.40/4.77 inference(backward_demodulation,[status(thm)],[f14477,f12853])).
% 34.40/4.77 fof(f14519,plain,(
% 34.40/4.77 ~spl0_73|~spl0_441|spl0_385),
% 34.40/4.77 inference(split_clause,[status(thm)],[f14518,f6131,f14476,f12851])).
% 34.40/4.77 fof(f14555,plain,(
% 34.40/4.77 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~spl0_441|~spl0_2),
% 34.40/4.77 inference(backward_demodulation,[status(thm)],[f14477,f5029])).
% 34.40/4.77 fof(f14556,plain,(
% 34.40/4.77 spl0_12|~spl0_441|~spl0_2),
% 34.40/4.77 inference(split_clause,[status(thm)],[f14555,f5147,f14476,f4919])).
% 34.40/4.77 fof(f14579,plain,(
% 34.40/4.77 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))))|~spl0_441|spl0_67|~spl0_23),
% 34.40/4.80 inference(forward_demodulation,[status(thm)],[f14477,f8489])).
% 34.40/4.80 fof(f14580,plain,(
% 34.40/4.80 $false|~spl0_441|spl0_67|~spl0_23),
% 34.40/4.80 inference(forward_subsumption_resolution,[status(thm)],[f14579,f4932])).
% 34.40/4.80 fof(f14581,plain,(
% 34.40/4.80 ~spl0_441|spl0_67|~spl0_23),
% 34.40/4.80 inference(contradiction_clause,[status(thm)],[f14580])).
% 34.40/4.80 fof(f14607,plain,(
% 34.40/4.80 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|~spl0_441|~spl0_10),
% 34.40/4.80 inference(forward_demodulation,[status(thm)],[f14477,f5120])).
% 34.40/4.80 fof(f14608,plain,(
% 34.40/4.80 $false|spl0_13|~spl0_441|~spl0_10),
% 34.40/4.80 inference(forward_subsumption_resolution,[status(thm)],[f14607,f5152])).
% 34.40/4.80 fof(f14609,plain,(
% 34.40/4.80 spl0_13|~spl0_441|~spl0_10),
% 34.40/4.80 inference(contradiction_clause,[status(thm)],[f14608])).
% 34.40/4.80 fof(f14610,plain,(
% 34.40/4.80 $false),
% 34.40/4.80 inference(sat_refutation,[status(thm)],[f4925,f4926,f5060,f5066,f5095,f5165,f5189,f5232,f5251,f5333,f5344,f5349,f5365,f5370,f5376,f5382,f5387,f5392,f5403,f5419,f5466,f5471,f5501,f5515,f5530,f5537,f5651,f5681,f5686,f5690,f5715,f5741,f5749,f5770,f5776,f5797,f5811,f5825,f5836,f5849,f5908,f5913,f5936,f6135,f6148,f6154,f6159,f6165,f6168,f6180,f6188,f6220,f6231,f6306,f6322,f6446,f6873,f6880,f6894,f6901,f6906,f6911,f6920,f6930,f6932,f6934,f6936,f6938,f6940,f7132,f7134,f7136,f7962,f7980,f7982,f8000,f8015,f8017,f8037,f8039,f8129,f8134,f8136,f8138,f8599,f8607,f8717,f8731,f8769,f8792,f8815,f8828,f8958,f8960,f9192,f9194,f9222,f9227,f9232,f9237,f9247,f9360,f9650,f9658,f9666,f9759,f9857,f9879,f9926,f10094,f10138,f12371,f12420,f12424,f12471,f12520,f12626,f12818,f12855,f12971,f12987,f13193,f13198,f13203,f13208,f13223,f13331,f13391,f13408,f13416,f13692,f13719,f13728,f13733,f13740,f13745,f13789,f13794,f13799,f13804,f13827,f13870,f13925,f13978,f13983,f13988,f14003,f14008,f14018,f14027,f14085,f14092,f14108,f14235,f14240,f14306,f14416,f14427,f14480,f14487,f14493,f14510,f14516,f14519,f14556,f14581,f14609])).
% 34.40/4.80 % SZS output end CNFRefutation for theBenchmark.p
% 34.40/4.80 % Elapsed time: 4.450664 seconds
% 34.40/4.80 % CPU time: 34.484919 seconds
% 34.40/4.80 % Total memory used: 409.665 MB
% 34.40/4.80 % Net memory used: 404.014 MB
%------------------------------------------------------------------------------