TSTP Solution File: SWW253+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% 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 : n023.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 : Wed May 31 12:44:33 EDT 2023
% Result : Theorem 173.83s 22.32s
% Output : CNFRefutation 174.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW253+1 : TPTP v8.1.2. Released v5.2.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 11:14:53 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.44 % Drodi V3.5.1
% 173.83/22.32 % Refutation found
% 173.83/22.32 % SZS status Theorem for theBenchmark: Theorem is valid
% 173.83/22.32 % SZS output start CNFRefutation for theBenchmark
% 173.83/22.32 fof(f1,axiom,(
% 173.83/22.32 (! [V_g_2,V_f_2] :( (! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x))=> V_f_2 = V_g_2 ) )),
% 173.83/22.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 173.83/22.32 fof(f16,axiom,(
% 173.83/22.32 (! [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) ) )),
% 173.83/22.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 173.83/22.32 fof(f19,axiom,(
% 173.83/22.32 (! [V_a,T_a] :( class_RealVector_Oreal__normed__div__algebra(T_a)=> ( V_a != c_Groups_Ozero__class_Ozero(T_a)=> c_RealVector_Onorm__class_Onorm(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a)) = c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_a)) ) ) )),
% 173.83/22.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 173.83/22.32 fof(f23,axiom,(
% 173.83/22.32 (! [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) ) )),
% 173.83/22.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 173.83/22.32 fof(f34,axiom,(
% 173.83/22.32 (! [V_b_2,V_a_2,T_a] :( class_Rings_Oring__no__zero__divisors(T_a)=> ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_a)<=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_a)| V_b_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) )),
% 173.83/22.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 173.83/22.32 fof(f73,axiom,(
% 173.83/22.32 (! [V_a_2,V_b_2,V_ca_2,T_a] :( class_Rings_Odivision__ring(T_a)=> ( V_ca_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_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2) ) ) ) )),
% 173.83/22.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 173.83/22.32 fof(f95,axiom,(
% 173.83/22.32 (! [V_y,V_x,T_a] :( class_Rings_Olinordered__idom(T_a)=> ( V_x != V_y=> ( ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y)=> c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ) )),
% 173.83/22.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 173.83/22.32 fof(f96,axiom,(
% 173.83/22.32 (! [V_b,V_a,T_a] :( class_Rings_Odivision__ring__inverse__zero(T_a)=> ( c_Rings_Oinverse__class_Oinverse(T_a,V_a) = c_Rings_Oinverse__class_Oinverse(T_a,V_b)=> V_a = V_b ) ) )),
% 173.83/22.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 173.83/22.32 fof(f98,axiom,(
% 173.83/22.32 (! [V_a,T_a] :( class_Rings_Odivision__ring__inverse__zero(T_a)=> c_Rings_Oinverse__class_Oinverse(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a)) = V_a ) )),
% 173.83/22.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 173.83/22.32 fof(f99,axiom,(
% 173.83/22.32 (! [T_a] :( class_Rings_Ozero__neq__one(T_a)=> c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) )),
% 173.83/22.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 173.83/22.32 fof(f114,axiom,(
% 173.83/22.32 (! [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) ) ) )),
% 173.83/22.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 173.83/22.32 fof(f116,axiom,(
% 173.83/22.32 (! [V_b,V_a,T_a] :( ( class_Fields_Ofield__inverse__zero(T_a)& class_RealVector_Oreal__normed__field(T_a) )=> c_RealVector_Onorm__class_Onorm(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_a,V_b)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_a),c_RealVector_Onorm__class_Onorm(T_a,V_b)) ) )),
% 173.83/22.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 173.83/22.32 fof(f118,axiom,(
% 173.83/22.32 (! [V_a,T_a] :( ( class_RealVector_Oreal__normed__div__algebra(T_a)& class_Rings_Odivision__ring__inverse__zero(T_a) )=> c_RealVector_Onorm__class_Onorm(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a)) = c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_a)) ) )),
% 173.83/22.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 173.83/22.32 fof(f119,axiom,(
% 173.83/22.32 (! [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)) ) )),
% 173.83/22.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 173.83/22.32 fof(f144,axiom,(
% 173.83/22.32 (! [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)) )),
% 173.83/22.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 173.83/22.32 fof(f145,axiom,(
% 173.83/22.32 (! [V_x,V_p,V_a,T_a] :( class_Rings_Ocomm__semiring__0(T_a)=> hAPP(c_Polynomial_Opoly(T_a,c_Polynomial_Osmult(T_a,V_a,V_p)),V_x) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(c_Polynomial_Opoly(T_a,V_p),V_x)) ) )),
% 173.83/22.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 173.83/22.32 fof(f171,axiom,(
% 173.83/22.32 (! [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) ) )),
% 173.83/22.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 173.83/22.32 fof(f172,axiom,(
% 173.83/22.32 (! [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),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,V_x)),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,V_x1)),V_u)) ) ) ) )),
% 173.83/22.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 173.83/22.32 fof(f174,axiom,(
% 173.83/22.32 (! [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)) )),
% 173.83/22.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 173.83/22.32 fof(f178,axiom,(
% 173.83/22.32 (! [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 ) ) )),
% 173.83/22.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 173.83/22.32 fof(f179,axiom,(
% 173.83/22.32 (! [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 ) ) )),
% 173.83/22.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 173.83/22.32 fof(f181,axiom,(
% 173.83/22.32 (! [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) ) )),
% 173.83/22.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 173.83/22.32 fof(f182,axiom,(
% 173.83/22.32 (! [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) ) ) )),
% 173.83/22.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 173.83/22.32 fof(f183,axiom,(
% 173.83/22.32 (! [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 ) ) )),
% 173.83/22.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 173.83/22.32 fof(f184,axiom,(
% 173.83/22.32 (! [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)) ) ) ) )),
% 173.83/22.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 173.83/22.32 fof(f241,axiom,(
% 173.83/22.32 (! [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)) )),
% 173.83/22.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 173.83/22.32 fof(f242,axiom,(
% 173.83/22.32 (! [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) )),
% 173.83/22.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 173.83/22.32 fof(f256,axiom,(
% 173.83/22.32 (! [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 ) ) )),
% 173.83/22.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 173.83/22.32 fof(f257,axiom,(
% 173.83/22.32 (! [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 ) ) )),
% 173.83/22.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 173.83/22.32 fof(f258,axiom,(
% 173.83/22.32 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 173.83/22.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 173.83/22.32 fof(f259,axiom,(
% 173.83/22.32 (! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),V_z) = V_z )),
% 173.83/22.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 173.83/22.32 fof(f260,axiom,(
% 173.83/22.32 c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 173.83/22.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 173.83/22.32 fof(f261,axiom,(
% 173.83/22.32 (! [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) ) ) )),
% 173.83/22.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 173.83/22.32 fof(f267,axiom,(
% 173.83/22.32 (! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )),
% 173.83/22.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 173.83/22.32 fof(f268,axiom,(
% 173.83/22.32 (! [V_x_2] :( ~ 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),V_x_2),V_x_2))<=> V_x_2 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) )),
% 173.83/22.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 173.83/22.32 fof(f299,axiom,(
% 173.83/22.32 (! [V_a,T_a] :( class_Groups_Omonoid__add(T_a)=> c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) )),
% 173.83/22.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 173.83/22.32 fof(f303,axiom,(
% 173.83/22.32 (! [V_a_2,V_b_2,T_a] :( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)=> ( V_b_2 = c_Groups_Oplus__class_Oplus(T_a,V_b_2,V_a_2)<=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) )),
% 173.83/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 173.83/22.33 fof(f386,axiom,(
% 173.83/22.33 (! [V_y_2,V_x_2,T_a] :( class_Orderings_Olinorder(T_a)=> ( ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)<=> ( c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2)| V_x_2 = V_y_2 ) ) ) )),
% 173.83/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 173.83/22.33 fof(f412,axiom,(
% 173.83/22.33 (! [V_n_2,V_m_2] :( V_m_2 != V_n_2<=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)| c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_m_2) ) ) )),
% 173.83/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 173.83/22.33 fof(f429,axiom,(
% 173.83/22.33 (! [V_x,V_y,T_a] :( class_Orderings_Olinorder(T_a)=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)=> ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y) ) ) )),
% 173.83/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 173.83/22.33 fof(f433,axiom,(
% 173.83/22.33 (! [V_x,V_y,T_a] :( class_Orderings_Olinorder(T_a)=> ( ~ c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)=> c_Orderings_Oord__class_Oless(T_a,V_x,V_y) ) ) )),
% 173.83/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 173.83/22.33 fof(f451,axiom,(
% 173.83/22.33 (! [V_a,V_r] : c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_r),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_r),V_r)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,V_a,V_r) )),
% 173.83/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 173.83/22.33 fof(f483,axiom,(
% 173.83/22.33 (! [V_n_2,V_m_2] :( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)<=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)& V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) )),
% 173.83/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 173.83/22.33 fof(f488,axiom,(
% 173.83/22.33 (! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n )),
% 173.83/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 173.83/22.33 fof(f491,axiom,(
% 173.83/22.33 (! [V_m] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m )),
% 173.83/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 173.83/22.33 fof(f493,axiom,(
% 173.83/22.33 (! [V_n,V_m] :( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n) = V_m=> V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) )),
% 173.83/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 173.83/22.33 fof(f547,axiom,(
% 173.83/22.33 c_RComplete_Onatceiling(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 173.83/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 173.83/22.33 fof(f573,axiom,(
% 173.83/22.33 c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 173.83/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 173.83/22.33 fof(f575,axiom,(
% 173.83/22.33 (! [V_x] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(V_x))) )),
% 173.83/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 173.83/22.33 fof(f680,axiom,(
% 173.83/22.33 (! [V_q,V_r,V_a] :( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a)=> ( V_a = c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_r,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_q))=> ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r,V_a)=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_q) ) ) ) )),
% 173.83/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 173.83/22.33 fof(f684,axiom,(
% 173.83/22.33 (! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z )),
% 173.83/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 173.83/22.33 fof(f689,axiom,(
% 173.83/22.33 (! [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) ) ) ) )),
% 174.14/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.14/22.33 fof(f718,axiom,(
% 174.14/22.33 (! [V_y,V_x] :( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_x,V_y)| V_x = V_y| c_Orderings_Oord__class_Oless(tc_Int_Oint,V_y,V_x) ) )),
% 174.14/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.14/22.33 fof(f719,axiom,(
% 174.14/22.33 c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ),
% 174.14/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.14/22.33 fof(f720,axiom,(
% 174.14/22.33 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 174.14/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.14/22.33 fof(f722,axiom,(
% 174.14/22.33 (! [V_z] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z) = V_z )),
% 174.14/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.14/22.33 fof(f723,axiom,(
% 174.14/22.33 (! [V_z] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z )),
% 174.14/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.14/22.33 fof(f724,axiom,(
% 174.14/22.33 (! [V_w,V_z] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z,V_w) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_w,V_z) )),
% 174.14/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.14/22.33 fof(f727,axiom,(
% 174.14/22.33 (! [V_wa_2,V_z_2] :( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_z_2,V_wa_2)<=> ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z_2,V_wa_2)& V_z_2 != V_wa_2 ) ) )),
% 174.14/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.14/22.33 fof(f733,axiom,(
% 174.14/22.33 (! [V_w,V_z] :( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z,V_w)| c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_w,V_z) ) )),
% 174.14/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.14/22.33 fof(f734,axiom,(
% 174.14/22.33 (! [V_w] : c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_w,V_w) )),
% 174.14/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.14/22.33 fof(f739,axiom,(
% 174.14/22.33 (! [V_z_2,V_wa_2] :( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_wa_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z_2,c_Groups_Oone__class_Oone(tc_Int_Oint)))<=> ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_wa_2,V_z_2)| V_wa_2 = V_z_2 ) ) )),
% 174.14/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.14/22.33 fof(f740,axiom,(
% 174.14/22.33 (! [V_z_2,V_wa_2] :( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_wa_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z_2,c_Groups_Oone__class_Oone(tc_Int_Oint)))<=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_wa_2,V_z_2) ) )),
% 174.14/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.14/22.33 fof(f741,axiom,(
% 174.14/22.33 (! [V_z_2] :( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_z_2)<=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z_2) ) )),
% 174.14/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.14/22.33 fof(f754,axiom,(
% 174.14/22.33 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ),
% 174.14/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.14/22.33 fof(f852,axiom,(
% 174.14/22.33 (! [V_x] : c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_x) )),
% 174.14/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.14/22.33 fof(f853,axiom,(
% 174.14/22.33 (! [V_a,T_a] :( class_Rings_Ocomm__semiring__1(T_a)=> c_Rings_Odvd__class_Odvd(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) ) )),
% 174.14/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.14/22.33 fof(f973,axiom,(
% 174.14/22.33 (! [V_n_2,V_m_2] :( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m_2)=> ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2),V_m_2)<=> V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) )),
% 174.14/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.14/22.33 fof(f1005,axiom,(
% 174.14/22.33 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ),
% 174.14/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.14/22.33 fof(f1033,axiom,(
% 174.14/22.33 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ),
% 174.14/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.14/22.33 fof(f1041,axiom,(
% 174.14/22.33 class_Orderings_Olinorder(tc_Int_Oint) ),
% 174.14/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.14/22.33 fof(f1073,axiom,(
% 174.14/22.33 class_Rings_Olinordered__semidom(tc_Nat_Onat) ),
% 174.14/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.14/22.33 fof(f1080,axiom,(
% 174.14/22.33 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ),
% 174.14/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.14/22.33 fof(f1107,axiom,(
% 174.14/22.33 class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ),
% 174.14/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.14/22.33 fof(f1109,axiom,(
% 174.14/22.33 class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal) ),
% 174.14/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.14/22.33 fof(f1110,axiom,(
% 174.14/22.33 class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ),
% 174.14/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.14/22.33 fof(f1120,axiom,(
% 174.14/22.33 class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ),
% 174.14/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.14/22.33 fof(f1121,axiom,(
% 174.14/22.33 class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal) ),
% 174.14/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.14/22.33 fof(f1127,axiom,(
% 174.14/22.33 class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal) ),
% 174.14/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.14/22.33 fof(f1137,axiom,(
% 174.14/22.33 class_Rings_Olinordered__idom(tc_RealDef_Oreal) ),
% 174.14/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.14/22.33 fof(f1138,axiom,(
% 174.14/22.33 class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal) ),
% 174.14/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.14/22.33 fof(f1139,axiom,(
% 174.14/22.33 class_Rings_Ocomm__semiring__0(tc_RealDef_Oreal) ),
% 174.14/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.14/22.33 fof(f1141,axiom,(
% 174.14/22.33 class_Rings_Odivision__ring(tc_RealDef_Oreal) ),
% 174.14/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.14/22.33 fof(f1147,axiom,(
% 174.14/22.33 class_Orderings_Olinorder(tc_RealDef_Oreal) ),
% 174.14/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.14/22.33 fof(f1167,axiom,(
% 174.14/22.33 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex) ),
% 174.14/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.14/22.33 fof(f1168,axiom,(
% 174.14/22.33 class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ),
% 174.14/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.14/22.33 fof(f1169,axiom,(
% 174.14/22.33 class_Rings_Odivision__ring__inverse__zero(tc_Complex_Ocomplex) ),
% 174.14/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.14/22.33 fof(f1175,axiom,(
% 174.14/22.33 class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ),
% 174.14/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.14/22.33 fof(f1178,axiom,(
% 174.14/22.33 class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex) ),
% 174.14/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.14/22.33 fof(f1184,axiom,(
% 174.14/22.33 class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
% 174.14/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.14/22.33 fof(f1185,axiom,(
% 174.14/22.33 class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex) ),
% 174.14/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.14/22.33 fof(f1190,axiom,(
% 174.14/22.33 class_Rings_Ozero__neq__one(tc_Complex_Ocomplex) ),
% 174.14/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.14/22.33 fof(f1193,axiom,(
% 174.14/22.33 class_Groups_Omonoid__add(tc_Complex_Ocomplex) ),
% 174.14/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.14/22.33 fof(f1264,conjecture,(
% 174.14/22.33 ( 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)) ) ),
% 174.14/22.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.14/22.33 fof(f1265,negated_conjecture,(
% 174.14/22.33 ~(( 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)) ) )),
% 174.14/22.33 inference(negated_conjecture,[status(cth)],[f1264])).
% 174.14/22.33 fof(f1266,plain,(
% 174.14/22.33 ![V_g_2,V_f_2]: ((?[B_x]: ~hAPP(V_f_2,B_x)=hAPP(V_g_2,B_x))|V_f_2=V_g_2)),
% 174.14/22.33 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 174.14/22.33 fof(f1267,plain,(
% 174.14/22.33 ![V_g_2,V_f_2]: (~hAPP(V_f_2,sk0_0(V_f_2,V_g_2))=hAPP(V_g_2,sk0_0(V_f_2,V_g_2))|V_f_2=V_g_2)),
% 174.14/22.33 inference(skolemization,[status(esa)],[f1266])).
% 174.14/22.33 fof(f1268,plain,(
% 174.14/22.33 ![X0,X1]: (~hAPP(X0,sk0_0(X0,X1))=hAPP(X1,sk0_0(X0,X1))|X0=X1)),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f1267])).
% 174.14/22.33 fof(f1294,plain,(
% 174.14/22.33 ![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))),
% 174.14/22.33 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 174.14/22.33 fof(f1295,plain,(
% 174.14/22.33 ![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))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f1294])).
% 174.14/22.33 fof(f1302,plain,(
% 174.14/22.33 ![V_a,T_a]: (~class_RealVector_Oreal__normed__div__algebra(T_a)|(V_a=c_Groups_Ozero__class_Ozero(T_a)|c_RealVector_Onorm__class_Onorm(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a))=c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_a))))),
% 174.14/22.33 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 174.14/22.33 fof(f1303,plain,(
% 174.14/22.33 ![T_a]: (~class_RealVector_Oreal__normed__div__algebra(T_a)|(![V_a]: (V_a=c_Groups_Ozero__class_Ozero(T_a)|c_RealVector_Onorm__class_Onorm(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a))=c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_a)))))),
% 174.14/22.33 inference(miniscoping,[status(esa)],[f1302])).
% 174.14/22.33 fof(f1304,plain,(
% 174.14/22.33 ![X0,X1]: (~class_RealVector_Oreal__normed__div__algebra(X0)|X1=c_Groups_Ozero__class_Ozero(X0)|c_RealVector_Onorm__class_Onorm(X0,c_Rings_Oinverse__class_Oinverse(X0,X1))=c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f1303])).
% 174.14/22.33 fof(f1310,plain,(
% 174.14/22.33 ![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))),
% 174.14/22.33 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 174.14/22.33 fof(f1311,plain,(
% 174.14/22.33 ![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)))),
% 174.14/22.33 inference(miniscoping,[status(esa)],[f1310])).
% 174.14/22.33 fof(f1312,plain,(
% 174.14/22.33 ![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))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f1311])).
% 174.14/22.33 fof(f1345,plain,(
% 174.14/22.33 ![V_b_2,V_a_2,T_a]: (~class_Rings_Oring__no__zero__divisors(T_a)|(hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2)=c_Groups_Ozero__class_Ozero(T_a)<=>(V_a_2=c_Groups_Ozero__class_Ozero(T_a)|V_b_2=c_Groups_Ozero__class_Ozero(T_a))))),
% 174.14/22.33 inference(pre_NNF_transformation,[status(esa)],[f34])).
% 174.14/22.33 fof(f1346,plain,(
% 174.14/22.33 ![V_b_2,V_a_2,T_a]: (~class_Rings_Oring__no__zero__divisors(T_a)|((~hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2)=c_Groups_Ozero__class_Ozero(T_a)|(V_a_2=c_Groups_Ozero__class_Ozero(T_a)|V_b_2=c_Groups_Ozero__class_Ozero(T_a)))&(hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2)=c_Groups_Ozero__class_Ozero(T_a)|(~V_a_2=c_Groups_Ozero__class_Ozero(T_a)&~V_b_2=c_Groups_Ozero__class_Ozero(T_a)))))),
% 174.14/22.33 inference(NNF_transformation,[status(esa)],[f1345])).
% 174.14/22.33 fof(f1347,plain,(
% 174.14/22.33 ![T_a]: (~class_Rings_Oring__no__zero__divisors(T_a)|((![V_b_2,V_a_2]: (~hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2)=c_Groups_Ozero__class_Ozero(T_a)|(V_a_2=c_Groups_Ozero__class_Ozero(T_a)|V_b_2=c_Groups_Ozero__class_Ozero(T_a))))&(![V_b_2,V_a_2]: (hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2)=c_Groups_Ozero__class_Ozero(T_a)|(~V_a_2=c_Groups_Ozero__class_Ozero(T_a)&~V_b_2=c_Groups_Ozero__class_Ozero(T_a))))))),
% 174.14/22.33 inference(miniscoping,[status(esa)],[f1346])).
% 174.14/22.33 fof(f1349,plain,(
% 174.14/22.33 ![X0,X1,X2]: (~class_Rings_Oring__no__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))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f1347])).
% 174.14/22.33 fof(f1485,plain,(
% 174.14/22.33 ![V_a_2,V_b_2,V_ca_2,T_a]: (~class_Rings_Odivision__ring(T_a)|(V_ca_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_b_2=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2))))),
% 174.14/22.33 inference(pre_NNF_transformation,[status(esa)],[f73])).
% 174.14/22.33 fof(f1486,plain,(
% 174.14/22.33 ![V_a_2,V_b_2,V_ca_2,T_a]: (~class_Rings_Odivision__ring(T_a)|(V_ca_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_b_2=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2))&(c_Rings_Oinverse__class_Odivide(T_a,V_b_2,V_ca_2)=V_a_2|~V_b_2=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)))))),
% 174.14/22.33 inference(NNF_transformation,[status(esa)],[f1485])).
% 174.14/22.33 fof(f1487,plain,(
% 174.14/22.33 ![T_a]: (~class_Rings_Odivision__ring(T_a)|(![V_ca_2]: (V_ca_2=c_Groups_Ozero__class_Ozero(T_a)|((![V_a_2,V_b_2]: (~c_Rings_Oinverse__class_Odivide(T_a,V_b_2,V_ca_2)=V_a_2|V_b_2=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)))&(![V_a_2,V_b_2]: (c_Rings_Oinverse__class_Odivide(T_a,V_b_2,V_ca_2)=V_a_2|~V_b_2=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)))))))),
% 174.14/22.33 inference(miniscoping,[status(esa)],[f1486])).
% 174.14/22.33 fof(f1488,plain,(
% 174.14/22.33 ![X0,X1,X2,X3]: (~class_Rings_Odivision__ring(X0)|X1=c_Groups_Ozero__class_Ozero(X0)|~c_Rings_Oinverse__class_Odivide(X0,X2,X1)=X3|X2=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f1487])).
% 174.14/22.33 fof(f1591,plain,(
% 174.14/22.33 ![V_y,V_x,T_a]: (~class_Rings_Olinordered__idom(T_a)|(V_x=V_y|(c_Orderings_Oord__class_Oless(T_a,V_x,V_y)|c_Orderings_Oord__class_Oless(T_a,V_y,V_x))))),
% 174.14/22.33 inference(pre_NNF_transformation,[status(esa)],[f95])).
% 174.14/22.33 fof(f1592,plain,(
% 174.14/22.33 ![T_a]: (~class_Rings_Olinordered__idom(T_a)|(![V_y,V_x]: (V_x=V_y|(c_Orderings_Oord__class_Oless(T_a,V_x,V_y)|c_Orderings_Oord__class_Oless(T_a,V_y,V_x)))))),
% 174.14/22.33 inference(miniscoping,[status(esa)],[f1591])).
% 174.14/22.33 fof(f1593,plain,(
% 174.14/22.33 ![X0,X1,X2]: (~class_Rings_Olinordered__idom(X0)|X1=X2|c_Orderings_Oord__class_Oless(X0,X1,X2)|c_Orderings_Oord__class_Oless(X0,X2,X1))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f1592])).
% 174.14/22.33 fof(f1594,plain,(
% 174.14/22.33 ![V_b,V_a,T_a]: (~class_Rings_Odivision__ring__inverse__zero(T_a)|(~c_Rings_Oinverse__class_Oinverse(T_a,V_a)=c_Rings_Oinverse__class_Oinverse(T_a,V_b)|V_a=V_b))),
% 174.14/22.33 inference(pre_NNF_transformation,[status(esa)],[f96])).
% 174.14/22.33 fof(f1595,plain,(
% 174.14/22.33 ![T_a]: (~class_Rings_Odivision__ring__inverse__zero(T_a)|(![V_b,V_a]: (~c_Rings_Oinverse__class_Oinverse(T_a,V_a)=c_Rings_Oinverse__class_Oinverse(T_a,V_b)|V_a=V_b)))),
% 174.14/22.33 inference(miniscoping,[status(esa)],[f1594])).
% 174.14/22.33 fof(f1596,plain,(
% 174.14/22.33 ![X0,X1,X2]: (~class_Rings_Odivision__ring__inverse__zero(X0)|~c_Rings_Oinverse__class_Oinverse(X0,X1)=c_Rings_Oinverse__class_Oinverse(X0,X2)|X1=X2)),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f1595])).
% 174.14/22.33 fof(f1602,plain,(
% 174.14/22.33 ![V_a,T_a]: (~class_Rings_Odivision__ring__inverse__zero(T_a)|c_Rings_Oinverse__class_Oinverse(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a))=V_a)),
% 174.14/22.33 inference(pre_NNF_transformation,[status(esa)],[f98])).
% 174.14/22.33 fof(f1603,plain,(
% 174.14/22.33 ![T_a]: (~class_Rings_Odivision__ring__inverse__zero(T_a)|(![V_a]: c_Rings_Oinverse__class_Oinverse(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a))=V_a))),
% 174.14/22.33 inference(miniscoping,[status(esa)],[f1602])).
% 174.14/22.33 fof(f1604,plain,(
% 174.14/22.33 ![X0,X1]: (~class_Rings_Odivision__ring__inverse__zero(X0)|c_Rings_Oinverse__class_Oinverse(X0,c_Rings_Oinverse__class_Oinverse(X0,X1))=X1)),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f1603])).
% 174.14/22.33 fof(f1605,plain,(
% 174.14/22.33 ![T_a]: (~class_Rings_Ozero__neq__one(T_a)|~c_Groups_Ozero__class_Ozero(T_a)=c_Groups_Oone__class_Oone(T_a))),
% 174.14/22.33 inference(pre_NNF_transformation,[status(esa)],[f99])).
% 174.14/22.33 fof(f1606,plain,(
% 174.14/22.33 ![X0]: (~class_Rings_Ozero__neq__one(X0)|~c_Groups_Ozero__class_Ozero(X0)=c_Groups_Oone__class_Oone(X0))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f1605])).
% 174.14/22.33 fof(f1649,plain,(
% 174.14/22.33 ![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)))),
% 174.14/22.33 inference(pre_NNF_transformation,[status(esa)],[f114])).
% 174.14/22.33 fof(f1650,plain,(
% 174.14/22.33 ![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))))),
% 174.14/22.33 inference(NNF_transformation,[status(esa)],[f1649])).
% 174.14/22.33 fof(f1651,plain,(
% 174.14/22.33 ![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)))))),
% 174.14/22.33 inference(miniscoping,[status(esa)],[f1650])).
% 174.14/22.33 fof(f1653,plain,(
% 174.14/22.33 ![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))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f1651])).
% 174.14/22.33 fof(f1656,plain,(
% 174.14/22.33 ![V_b,V_a,T_a]: ((~class_Fields_Ofield__inverse__zero(T_a)|~class_RealVector_Oreal__normed__field(T_a))|c_RealVector_Onorm__class_Onorm(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_a,V_b))=c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_a),c_RealVector_Onorm__class_Onorm(T_a,V_b)))),
% 174.14/22.33 inference(pre_NNF_transformation,[status(esa)],[f116])).
% 174.14/22.33 fof(f1657,plain,(
% 174.14/22.33 ![T_a]: ((~class_Fields_Ofield__inverse__zero(T_a)|~class_RealVector_Oreal__normed__field(T_a))|(![V_b,V_a]: c_RealVector_Onorm__class_Onorm(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_a,V_b))=c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_a),c_RealVector_Onorm__class_Onorm(T_a,V_b))))),
% 174.14/22.33 inference(miniscoping,[status(esa)],[f1656])).
% 174.14/22.33 fof(f1658,plain,(
% 174.14/22.33 ![X0,X1,X2]: (~class_Fields_Ofield__inverse__zero(X0)|~class_RealVector_Oreal__normed__field(X0)|c_RealVector_Onorm__class_Onorm(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2))=c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2)))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f1657])).
% 174.14/22.33 fof(f1662,plain,(
% 174.14/22.33 ![V_a,T_a]: ((~class_RealVector_Oreal__normed__div__algebra(T_a)|~class_Rings_Odivision__ring__inverse__zero(T_a))|c_RealVector_Onorm__class_Onorm(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a))=c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_a)))),
% 174.14/22.33 inference(pre_NNF_transformation,[status(esa)],[f118])).
% 174.14/22.33 fof(f1663,plain,(
% 174.14/22.33 ![T_a]: ((~class_RealVector_Oreal__normed__div__algebra(T_a)|~class_Rings_Odivision__ring__inverse__zero(T_a))|(![V_a]: c_RealVector_Onorm__class_Onorm(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a))=c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_a))))),
% 174.14/22.33 inference(miniscoping,[status(esa)],[f1662])).
% 174.14/22.33 fof(f1664,plain,(
% 174.14/22.33 ![X0,X1]: (~class_RealVector_Oreal__normed__div__algebra(X0)|~class_Rings_Odivision__ring__inverse__zero(X0)|c_RealVector_Onorm__class_Onorm(X0,c_Rings_Oinverse__class_Oinverse(X0,X1))=c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f1663])).
% 174.14/22.33 fof(f1665,plain,(
% 174.14/22.33 ![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)))),
% 174.14/22.33 inference(pre_NNF_transformation,[status(esa)],[f119])).
% 174.14/22.33 fof(f1666,plain,(
% 174.14/22.33 ![X0]: (~class_Rings_Olinordered__semidom(X0)|c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oone__class_Oone(X0)))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f1665])).
% 174.14/22.33 fof(f1759,plain,(
% 174.14/22.33 ![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)))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f144])).
% 174.14/22.33 fof(f1760,plain,(
% 174.14/22.33 ![V_x,V_p,V_a,T_a]: (~class_Rings_Ocomm__semiring__0(T_a)|hAPP(c_Polynomial_Opoly(T_a,c_Polynomial_Osmult(T_a,V_a,V_p)),V_x)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(c_Polynomial_Opoly(T_a,V_p),V_x)))),
% 174.14/22.33 inference(pre_NNF_transformation,[status(esa)],[f145])).
% 174.14/22.33 fof(f1761,plain,(
% 174.14/22.33 ![T_a]: (~class_Rings_Ocomm__semiring__0(T_a)|(![V_x,V_p,V_a]: hAPP(c_Polynomial_Opoly(T_a,c_Polynomial_Osmult(T_a,V_a,V_p)),V_x)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(c_Polynomial_Opoly(T_a,V_p),V_x))))),
% 174.14/22.33 inference(miniscoping,[status(esa)],[f1760])).
% 174.14/22.33 fof(f1762,plain,(
% 174.14/22.33 ![X0,X1,X2,X3]: (~class_Rings_Ocomm__semiring__0(X0)|hAPP(c_Polynomial_Opoly(X0,c_Polynomial_Osmult(X0,X1,X2)),X3)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(c_Polynomial_Opoly(X0,X2),X3)))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f1761])).
% 174.14/22.33 fof(f1843,plain,(
% 174.14/22.33 ![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))),
% 174.14/22.33 inference(pre_NNF_transformation,[status(esa)],[f171])).
% 174.14/22.33 fof(f1844,plain,(
% 174.14/22.33 ![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))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f1843])).
% 174.14/22.33 fof(f1845,plain,(
% 174.14/22.33 ![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),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,V_x)),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,V_x1)),V_u)))))),
% 174.14/22.33 inference(pre_NNF_transformation,[status(esa)],[f172])).
% 174.14/22.33 fof(f1846,plain,(
% 174.14/22.33 ![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),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,V_x)),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,V_x1)),V_u)))))))),
% 174.14/22.33 inference(miniscoping,[status(esa)],[f1845])).
% 174.14/22.33 fof(f1847,plain,(
% 174.14/22.33 ![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),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1)),X3)))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f1846])).
% 174.14/22.33 fof(f1851,plain,(
% 174.14/22.33 ![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)))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f174])).
% 174.14/22.33 fof(f1855,plain,(
% 174.14/22.33 ![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)))),
% 174.14/22.33 inference(NNF_transformation,[status(esa)],[f178])).
% 174.14/22.33 fof(f1856,plain,(
% 174.14/22.33 (![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)))),
% 174.14/22.33 inference(miniscoping,[status(esa)],[f1855])).
% 174.14/22.33 fof(f1857,plain,(
% 174.14/22.33 ![X0,X1]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f1856])).
% 174.14/22.33 fof(f1858,plain,(
% 174.14/22.33 ![X0,X1]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)|~X0=X1)),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f1856])).
% 174.14/22.33 fof(f1859,plain,(
% 174.14/22.33 ![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)),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f1856])).
% 174.14/22.33 fof(f1860,plain,(
% 174.14/22.33 ![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)))),
% 174.14/22.33 inference(NNF_transformation,[status(esa)],[f179])).
% 174.14/22.33 fof(f1861,plain,(
% 174.14/22.33 (![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)))),
% 174.14/22.33 inference(miniscoping,[status(esa)],[f1860])).
% 174.14/22.33 fof(f1864,plain,(
% 174.14/22.33 ![X0,X1]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|~X0=X1)),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f1861])).
% 174.14/22.33 fof(f1866,plain,(
% 174.14/22.33 ![X0,X1]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f181])).
% 174.14/22.33 fof(f1867,plain,(
% 174.14/22.33 ![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)))),
% 174.14/22.33 inference(pre_NNF_transformation,[status(esa)],[f182])).
% 174.14/22.33 fof(f1868,plain,(
% 174.14/22.33 ![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))))),
% 174.14/22.33 inference(miniscoping,[status(esa)],[f1867])).
% 174.14/22.33 fof(f1869,plain,(
% 174.14/22.33 ![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))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f1868])).
% 174.14/22.33 fof(f1870,plain,(
% 174.14/22.33 ![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))),
% 174.14/22.33 inference(pre_NNF_transformation,[status(esa)],[f183])).
% 174.14/22.33 fof(f1871,plain,(
% 174.14/22.33 ![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)),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f1870])).
% 174.14/22.33 fof(f1872,plain,(
% 174.14/22.33 ![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))))))),
% 174.14/22.33 inference(NNF_transformation,[status(esa)],[f184])).
% 174.14/22.33 fof(f1873,plain,(
% 174.14/22.33 (![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))))))),
% 174.14/22.33 inference(miniscoping,[status(esa)],[f1872])).
% 174.14/22.33 fof(f1874,plain,(
% 174.14/22.33 ![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))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f1873])).
% 174.14/22.33 fof(f1875,plain,(
% 174.14/22.33 ![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)))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f1873])).
% 174.14/22.33 fof(f1876,plain,(
% 174.14/22.33 ![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))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f1873])).
% 174.14/22.33 fof(f1877,plain,(
% 174.14/22.33 ![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,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f1873])).
% 174.14/22.33 fof(f1878,plain,(
% 174.14/22.33 ![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,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f1873])).
% 174.14/22.33 fof(f1879,plain,(
% 174.14/22.33 ![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)))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f1873])).
% 174.14/22.33 fof(f2089,plain,(
% 174.14/22.33 ![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)))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f241])).
% 174.14/22.33 fof(f2090,plain,(
% 174.14/22.33 ![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))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f242])).
% 174.14/22.33 fof(f2160,plain,(
% 174.14/22.33 ![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))),
% 174.14/22.33 inference(pre_NNF_transformation,[status(esa)],[f256])).
% 174.14/22.33 fof(f2161,plain,(
% 174.14/22.33 ![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)))),
% 174.14/22.33 inference(NNF_transformation,[status(esa)],[f2160])).
% 174.14/22.33 fof(f2162,plain,(
% 174.14/22.33 ![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))))),
% 174.14/22.33 inference(miniscoping,[status(esa)],[f2161])).
% 174.14/22.33 fof(f2163,plain,(
% 174.14/22.33 ![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)),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f2162])).
% 174.14/22.33 fof(f2165,plain,(
% 174.14/22.33 ![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))),
% 174.14/22.33 inference(pre_NNF_transformation,[status(esa)],[f257])).
% 174.14/22.33 fof(f2166,plain,(
% 174.14/22.33 ![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)))),
% 174.14/22.33 inference(NNF_transformation,[status(esa)],[f2165])).
% 174.14/22.33 fof(f2167,plain,(
% 174.14/22.33 ![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))))),
% 174.14/22.33 inference(miniscoping,[status(esa)],[f2166])).
% 174.14/22.33 fof(f2168,plain,(
% 174.14/22.33 ![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)),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f2167])).
% 174.14/22.33 fof(f2170,plain,(
% 174.14/22.33 ~c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f258])).
% 174.14/22.33 fof(f2171,plain,(
% 174.14/22.33 ![X0]: (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0)=X0)),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f259])).
% 174.14/22.33 fof(f2172,plain,(
% 174.14/22.33 c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f260])).
% 174.14/22.33 fof(f2173,plain,(
% 174.14/22.33 ![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)))),
% 174.14/22.33 inference(pre_NNF_transformation,[status(esa)],[f261])).
% 174.14/22.33 fof(f2174,plain,(
% 174.14/22.33 ![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))))),
% 174.14/22.33 inference(NNF_transformation,[status(esa)],[f2173])).
% 174.14/22.33 fof(f2175,plain,(
% 174.14/22.33 ![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)))))),
% 174.14/22.33 inference(miniscoping,[status(esa)],[f2174])).
% 174.14/22.33 fof(f2176,plain,(
% 174.14/22.33 ![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))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f2175])).
% 174.14/22.33 fof(f2193,plain,(
% 174.14/22.33 ![X0]: (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f267])).
% 174.14/22.33 fof(f2194,plain,(
% 174.14/22.33 ![V_x_2]: ((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),V_x_2),V_x_2))|V_x_2=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))&(~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),V_x_2),V_x_2))|~V_x_2=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
% 174.14/22.33 inference(NNF_transformation,[status(esa)],[f268])).
% 174.14/22.33 fof(f2195,plain,(
% 174.14/22.33 (![V_x_2]: (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),V_x_2),V_x_2))|V_x_2=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))&(![V_x_2]: (~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),V_x_2),V_x_2))|~V_x_2=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
% 174.14/22.33 inference(miniscoping,[status(esa)],[f2194])).
% 174.14/22.33 fof(f2196,plain,(
% 174.14/22.33 ![X0]: (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),X0),X0))|X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f2195])).
% 174.14/22.33 fof(f2298,plain,(
% 174.14/22.33 ![V_a,T_a]: (~class_Groups_Omonoid__add(T_a)|c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))=V_a)),
% 174.14/22.33 inference(pre_NNF_transformation,[status(esa)],[f299])).
% 174.14/22.33 fof(f2299,plain,(
% 174.14/22.33 ![T_a]: (~class_Groups_Omonoid__add(T_a)|(![V_a]: c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))=V_a))),
% 174.14/22.33 inference(miniscoping,[status(esa)],[f2298])).
% 174.14/22.33 fof(f2300,plain,(
% 174.14/22.33 ![X0,X1]: (~class_Groups_Omonoid__add(X0)|c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0))=X1)),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f2299])).
% 174.14/22.33 fof(f2310,plain,(
% 174.14/22.33 ![V_a_2,V_b_2,T_a]: (~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)|(V_b_2=c_Groups_Oplus__class_Oplus(T_a,V_b_2,V_a_2)<=>V_a_2=c_Groups_Ozero__class_Ozero(T_a)))),
% 174.14/22.33 inference(pre_NNF_transformation,[status(esa)],[f303])).
% 174.14/22.33 fof(f2311,plain,(
% 174.14/22.33 ![V_a_2,V_b_2,T_a]: (~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)|((~V_b_2=c_Groups_Oplus__class_Oplus(T_a,V_b_2,V_a_2)|V_a_2=c_Groups_Ozero__class_Ozero(T_a))&(V_b_2=c_Groups_Oplus__class_Oplus(T_a,V_b_2,V_a_2)|~V_a_2=c_Groups_Ozero__class_Ozero(T_a))))),
% 174.14/22.33 inference(NNF_transformation,[status(esa)],[f2310])).
% 174.14/22.33 fof(f2312,plain,(
% 174.14/22.33 ![T_a]: (~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)|((![V_a_2]: ((![V_b_2]: ~V_b_2=c_Groups_Oplus__class_Oplus(T_a,V_b_2,V_a_2))|V_a_2=c_Groups_Ozero__class_Ozero(T_a)))&(![V_a_2]: ((![V_b_2]: V_b_2=c_Groups_Oplus__class_Oplus(T_a,V_b_2,V_a_2))|~V_a_2=c_Groups_Ozero__class_Ozero(T_a)))))),
% 174.14/22.33 inference(miniscoping,[status(esa)],[f2311])).
% 174.14/22.33 fof(f2313,plain,(
% 174.14/22.33 ![X0,X1,X2]: (~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)|~X1=c_Groups_Oplus__class_Oplus(X0,X1,X2)|X2=c_Groups_Ozero__class_Ozero(X0))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f2312])).
% 174.14/22.33 fof(f2602,plain,(
% 174.14/22.33 ![V_y_2,V_x_2,T_a]: (~class_Orderings_Olinorder(T_a)|(~c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)<=>(c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2)|V_x_2=V_y_2)))),
% 174.14/22.33 inference(pre_NNF_transformation,[status(esa)],[f386])).
% 174.14/22.33 fof(f2603,plain,(
% 174.14/22.33 ![V_y_2,V_x_2,T_a]: (~class_Orderings_Olinorder(T_a)|((c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)|(c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2)|V_x_2=V_y_2))&(~c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)|(~c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2)&~V_x_2=V_y_2))))),
% 174.14/22.33 inference(NNF_transformation,[status(esa)],[f2602])).
% 174.14/22.33 fof(f2604,plain,(
% 174.14/22.33 ![T_a]: (~class_Orderings_Olinorder(T_a)|((![V_y_2,V_x_2]: (c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)|(c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2)|V_x_2=V_y_2)))&(![V_y_2,V_x_2]: (~c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)|(~c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2)&~V_x_2=V_y_2)))))),
% 174.14/22.33 inference(miniscoping,[status(esa)],[f2603])).
% 174.14/22.33 fof(f2606,plain,(
% 174.14/22.33 ![X0,X1,X2]: (~class_Orderings_Olinorder(X0)|~c_Orderings_Oord__class_Oless(X0,X1,X2)|~c_Orderings_Oord__class_Oless(X0,X2,X1))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f2604])).
% 174.14/22.33 fof(f2684,plain,(
% 174.14/22.33 ![V_n_2,V_m_2]: ((V_m_2=V_n_2|(c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_m_2)))&(~V_m_2=V_n_2|(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)&~c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_m_2))))),
% 174.14/22.33 inference(NNF_transformation,[status(esa)],[f412])).
% 174.14/22.33 fof(f2685,plain,(
% 174.14/22.33 (![V_n_2,V_m_2]: (V_m_2=V_n_2|(c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_m_2))))&(![V_n_2,V_m_2]: (~V_m_2=V_n_2|(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)&~c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_m_2))))),
% 174.14/22.33 inference(miniscoping,[status(esa)],[f2684])).
% 174.14/22.33 fof(f2686,plain,(
% 174.14/22.33 ![X0,X1]: (X0=X1|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f2685])).
% 174.14/22.33 fof(f2738,plain,(
% 174.14/22.33 ![V_x,V_y,T_a]: (~class_Orderings_Olinorder(T_a)|(~c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)|~c_Orderings_Oord__class_Oless(T_a,V_x,V_y)))),
% 174.14/22.33 inference(pre_NNF_transformation,[status(esa)],[f429])).
% 174.14/22.33 fof(f2739,plain,(
% 174.14/22.33 ![T_a]: (~class_Orderings_Olinorder(T_a)|(![V_x,V_y]: (~c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)|~c_Orderings_Oord__class_Oless(T_a,V_x,V_y))))),
% 174.14/22.33 inference(miniscoping,[status(esa)],[f2738])).
% 174.14/22.33 fof(f2740,plain,(
% 174.14/22.33 ![X0,X1,X2]: (~class_Orderings_Olinorder(X0)|~c_Orderings_Oord__class_Oless__eq(X0,X1,X2)|~c_Orderings_Oord__class_Oless(X0,X2,X1))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f2739])).
% 174.14/22.33 fof(f2752,plain,(
% 174.14/22.33 ![V_x,V_y,T_a]: (~class_Orderings_Olinorder(T_a)|(c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)|c_Orderings_Oord__class_Oless(T_a,V_x,V_y)))),
% 174.14/22.33 inference(pre_NNF_transformation,[status(esa)],[f433])).
% 174.14/22.33 fof(f2753,plain,(
% 174.14/22.33 ![T_a]: (~class_Orderings_Olinorder(T_a)|(![V_x,V_y]: (c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)|c_Orderings_Oord__class_Oless(T_a,V_x,V_y))))),
% 174.14/22.33 inference(miniscoping,[status(esa)],[f2752])).
% 174.14/22.33 fof(f2754,plain,(
% 174.14/22.33 ![X0,X1,X2]: (~class_Orderings_Olinorder(X0)|c_Orderings_Oord__class_Oless__eq(X0,X1,X2)|c_Orderings_Oord__class_Oless(X0,X2,X1))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f2753])).
% 174.14/22.33 fof(f2821,plain,(
% 174.14/22.33 ![X0,X1]: (c_Rings_Oinverse__class_Odivide(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),X0))=c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X0))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f451])).
% 174.14/22.33 fof(f2914,plain,(
% 174.14/22.33 ![V_n_2,V_m_2]: ((~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)=c_Groups_Oone__class_Oone(tc_Nat_Onat)|(V_m_2=c_Groups_Oone__class_Oone(tc_Nat_Onat)&V_n_2=c_Groups_Oone__class_Oone(tc_Nat_Onat)))&(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)=c_Groups_Oone__class_Oone(tc_Nat_Onat)|(~V_m_2=c_Groups_Oone__class_Oone(tc_Nat_Onat)|~V_n_2=c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
% 174.14/22.33 inference(NNF_transformation,[status(esa)],[f483])).
% 174.14/22.33 fof(f2915,plain,(
% 174.14/22.33 (![V_n_2,V_m_2]: (~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)=c_Groups_Oone__class_Oone(tc_Nat_Onat)|(V_m_2=c_Groups_Oone__class_Oone(tc_Nat_Onat)&V_n_2=c_Groups_Oone__class_Oone(tc_Nat_Onat))))&(![V_n_2,V_m_2]: (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)=c_Groups_Oone__class_Oone(tc_Nat_Onat)|(~V_m_2=c_Groups_Oone__class_Oone(tc_Nat_Onat)|~V_n_2=c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
% 174.14/22.33 inference(miniscoping,[status(esa)],[f2914])).
% 174.14/22.33 fof(f2916,plain,(
% 174.14/22.33 ![X0,X1]: (~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)=c_Groups_Oone__class_Oone(tc_Nat_Onat)|X0=c_Groups_Oone__class_Oone(tc_Nat_Onat))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f2915])).
% 174.14/22.33 fof(f2927,plain,(
% 174.14/22.33 ![X0]: (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X0)=X0)),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f488])).
% 174.14/22.33 fof(f2932,plain,(
% 174.14/22.33 ![X0]: (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X0)),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f491])).
% 174.14/22.33 fof(f2938,plain,(
% 174.14/22.33 ![V_n,V_m]: (~c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n)=V_m|V_n=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
% 174.14/22.33 inference(pre_NNF_transformation,[status(esa)],[f493])).
% 174.14/22.33 fof(f2939,plain,(
% 174.14/22.33 ![V_n]: ((![V_m]: ~c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n)=V_m)|V_n=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
% 174.14/22.33 inference(miniscoping,[status(esa)],[f2938])).
% 174.14/22.33 fof(f2940,plain,(
% 174.14/22.33 ![X0,X1]: (~c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1)=X0|X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f2939])).
% 174.14/22.33 fof(f3126,plain,(
% 174.14/22.33 c_RComplete_Onatceiling(c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Oone__class_Oone(tc_Nat_Onat)),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f547])).
% 174.14/22.33 fof(f3188,plain,(
% 174.14/22.33 c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f573])).
% 174.14/22.33 fof(f3191,plain,(
% 174.14/22.33 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(X0))))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f575])).
% 174.14/22.33 fof(f3522,plain,(
% 174.14/22.33 ![V_q,V_r,V_a]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a)|(~V_a=c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_r,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_q))|(~c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r,V_a)|c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_q))))),
% 174.14/22.33 inference(pre_NNF_transformation,[status(esa)],[f680])).
% 174.14/22.33 fof(f3523,plain,(
% 174.14/22.33 ![V_a]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a)|(![V_q,V_r]: (~V_a=c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_r,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_q))|(~c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r,V_a)|c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_q)))))),
% 174.14/22.33 inference(miniscoping,[status(esa)],[f3522])).
% 174.14/22.33 fof(f3524,plain,(
% 174.14/22.33 ![X0,X1,X2]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)|~X0=c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X2))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)|c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X2))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f3523])).
% 174.14/22.33 fof(f3530,plain,(
% 174.14/22.33 ![X0]: (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X0)=X0)),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f684])).
% 174.14/22.33 fof(f3537,plain,(
% 174.14/22.33 ![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))))),
% 174.14/22.33 inference(pre_NNF_transformation,[status(esa)],[f689])).
% 174.14/22.33 fof(f3538,plain,(
% 174.14/22.33 ![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)))))),
% 174.14/22.33 inference(NNF_transformation,[status(esa)],[f3537])).
% 174.14/22.33 fof(f3539,plain,(
% 174.14/22.33 ![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))))))),
% 174.14/22.33 inference(miniscoping,[status(esa)],[f3538])).
% 174.14/22.33 fof(f3540,plain,(
% 174.14/22.33 ![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)|X0=c_Groups_Oone__class_Oone(tc_Int_Oint))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f3539])).
% 174.14/22.33 fof(f3541,plain,(
% 174.14/22.33 ![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))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f3539])).
% 174.14/22.33 fof(f3644,plain,(
% 174.14/22.33 ![X0,X1]: (c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)|X0=X1|c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f718])).
% 174.14/22.33 fof(f3645,plain,(
% 174.14/22.33 c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f719])).
% 174.14/22.33 fof(f3646,plain,(
% 174.14/22.33 ~c_Groups_Ozero__class_Ozero(tc_Int_Oint)=c_Groups_Oone__class_Oone(tc_Int_Oint)),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f720])).
% 174.14/22.33 fof(f3648,plain,(
% 174.14/22.33 ![X0]: (c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)=X0)),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f722])).
% 174.14/22.33 fof(f3649,plain,(
% 174.14/22.33 ![X0]: (c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))=X0)),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f723])).
% 174.14/22.33 fof(f3650,plain,(
% 174.14/22.33 ![X0,X1]: (c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X0))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f724])).
% 174.14/22.33 fof(f3653,plain,(
% 174.14/22.33 ![V_wa_2,V_z_2]: ((~c_Orderings_Oord__class_Oless(tc_Int_Oint,V_z_2,V_wa_2)|(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z_2,V_wa_2)&~V_z_2=V_wa_2))&(c_Orderings_Oord__class_Oless(tc_Int_Oint,V_z_2,V_wa_2)|(~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z_2,V_wa_2)|V_z_2=V_wa_2)))),
% 174.14/22.33 inference(NNF_transformation,[status(esa)],[f727])).
% 174.14/22.33 fof(f3654,plain,(
% 174.14/22.33 (![V_wa_2,V_z_2]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,V_z_2,V_wa_2)|(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z_2,V_wa_2)&~V_z_2=V_wa_2)))&(![V_wa_2,V_z_2]: (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_z_2,V_wa_2)|(~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z_2,V_wa_2)|V_z_2=V_wa_2)))),
% 174.14/22.33 inference(miniscoping,[status(esa)],[f3653])).
% 174.14/22.33 fof(f3656,plain,(
% 174.14/22.33 ![X0,X1]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)|~X0=X1)),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f3654])).
% 174.14/22.33 fof(f3672,plain,(
% 174.14/22.33 ![X0,X1]: (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)|c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f733])).
% 174.14/22.33 fof(f3673,plain,(
% 174.14/22.33 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X0))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f734])).
% 174.14/22.33 fof(f3686,plain,(
% 174.14/22.33 ![V_z_2,V_wa_2]: ((~c_Orderings_Oord__class_Oless(tc_Int_Oint,V_wa_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z_2,c_Groups_Oone__class_Oone(tc_Int_Oint)))|(c_Orderings_Oord__class_Oless(tc_Int_Oint,V_wa_2,V_z_2)|V_wa_2=V_z_2))&(c_Orderings_Oord__class_Oless(tc_Int_Oint,V_wa_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z_2,c_Groups_Oone__class_Oone(tc_Int_Oint)))|(~c_Orderings_Oord__class_Oless(tc_Int_Oint,V_wa_2,V_z_2)&~V_wa_2=V_z_2)))),
% 174.14/22.33 inference(NNF_transformation,[status(esa)],[f739])).
% 174.14/22.33 fof(f3687,plain,(
% 174.14/22.33 (![V_z_2,V_wa_2]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,V_wa_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z_2,c_Groups_Oone__class_Oone(tc_Int_Oint)))|(c_Orderings_Oord__class_Oless(tc_Int_Oint,V_wa_2,V_z_2)|V_wa_2=V_z_2)))&(![V_z_2,V_wa_2]: (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_wa_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z_2,c_Groups_Oone__class_Oone(tc_Int_Oint)))|(~c_Orderings_Oord__class_Oless(tc_Int_Oint,V_wa_2,V_z_2)&~V_wa_2=V_z_2)))),
% 174.14/22.33 inference(miniscoping,[status(esa)],[f3686])).
% 174.14/22.33 fof(f3688,plain,(
% 174.14/22.33 ![X0,X1]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)))|c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)|X0=X1)),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f3687])).
% 174.14/22.33 fof(f3689,plain,(
% 174.14/22.33 ![X0,X1]: (c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f3687])).
% 174.14/22.33 fof(f3690,plain,(
% 174.14/22.33 ![X0,X1]: (c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)))|~X0=X1)),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f3687])).
% 174.14/22.33 fof(f3691,plain,(
% 174.14/22.33 ![V_z_2,V_wa_2]: ((~c_Orderings_Oord__class_Oless(tc_Int_Oint,V_wa_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z_2,c_Groups_Oone__class_Oone(tc_Int_Oint)))|c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_wa_2,V_z_2))&(c_Orderings_Oord__class_Oless(tc_Int_Oint,V_wa_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z_2,c_Groups_Oone__class_Oone(tc_Int_Oint)))|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_wa_2,V_z_2)))),
% 174.14/22.33 inference(NNF_transformation,[status(esa)],[f740])).
% 174.14/22.33 fof(f3692,plain,(
% 174.14/22.33 (![V_z_2,V_wa_2]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,V_wa_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z_2,c_Groups_Oone__class_Oone(tc_Int_Oint)))|c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_wa_2,V_z_2)))&(![V_z_2,V_wa_2]: (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_wa_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z_2,c_Groups_Oone__class_Oone(tc_Int_Oint)))|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_wa_2,V_z_2)))),
% 174.14/22.33 inference(miniscoping,[status(esa)],[f3691])).
% 174.14/22.33 fof(f3693,plain,(
% 174.14/22.33 ![X0,X1]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)))|c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f3692])).
% 174.14/22.33 fof(f3694,plain,(
% 174.14/22.33 ![X0,X1]: (c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)))|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f3692])).
% 174.14/22.33 fof(f3695,plain,(
% 174.14/22.33 ![V_z_2]: ((~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_z_2)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z_2))&(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_z_2)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z_2)))),
% 174.14/22.33 inference(NNF_transformation,[status(esa)],[f741])).
% 174.14/22.33 fof(f3696,plain,(
% 174.14/22.33 (![V_z_2]: (~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_z_2)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z_2)))&(![V_z_2]: (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_z_2)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z_2)))),
% 174.14/22.33 inference(miniscoping,[status(esa)],[f3695])).
% 174.14/22.33 fof(f3697,plain,(
% 174.14/22.33 ![X0]: (~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f3696])).
% 174.14/22.33 fof(f3698,plain,(
% 174.14/22.33 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f3696])).
% 174.14/22.33 fof(f3731,plain,(
% 174.14/22.33 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f754])).
% 174.14/22.33 fof(f4029,plain,(
% 174.14/22.33 ![X0]: (c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X0))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f852])).
% 174.14/22.33 fof(f4030,plain,(
% 174.14/22.33 ![V_a,T_a]: (~class_Rings_Ocomm__semiring__1(T_a)|c_Rings_Odvd__class_Odvd(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)))),
% 174.14/22.33 inference(pre_NNF_transformation,[status(esa)],[f853])).
% 174.14/22.33 fof(f4031,plain,(
% 174.14/22.33 ![T_a]: (~class_Rings_Ocomm__semiring__1(T_a)|(![V_a]: c_Rings_Odvd__class_Odvd(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))))),
% 174.14/22.33 inference(miniscoping,[status(esa)],[f4030])).
% 174.14/22.33 fof(f4032,plain,(
% 174.14/22.33 ![X0,X1]: (~class_Rings_Ocomm__semiring__1(X0)|c_Rings_Odvd__class_Odvd(X0,X1,c_Groups_Ozero__class_Ozero(X0)))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f4031])).
% 174.14/22.33 fof(f4439,plain,(
% 174.14/22.33 ![V_n_2,V_m_2]: (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m_2)|(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2),V_m_2)<=>V_n_2=c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
% 174.14/22.33 inference(pre_NNF_transformation,[status(esa)],[f973])).
% 174.14/22.33 fof(f4440,plain,(
% 174.14/22.33 ![V_n_2,V_m_2]: (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m_2)|((~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2),V_m_2)|V_n_2=c_Groups_Oone__class_Oone(tc_Nat_Onat))&(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2),V_m_2)|~V_n_2=c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
% 174.14/22.33 inference(NNF_transformation,[status(esa)],[f4439])).
% 174.14/22.33 fof(f4441,plain,(
% 174.14/22.33 ![V_m_2]: (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m_2)|((![V_n_2]: (~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2),V_m_2)|V_n_2=c_Groups_Oone__class_Oone(tc_Nat_Onat)))&(![V_n_2]: (c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2),V_m_2)|~V_n_2=c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),
% 174.14/22.33 inference(miniscoping,[status(esa)],[f4440])).
% 174.14/22.33 fof(f4442,plain,(
% 174.14/22.33 ![X0,X1]: (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),X0)|X1=c_Groups_Oone__class_Oone(tc_Nat_Onat))),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f4441])).
% 174.14/22.33 fof(f4512,plain,(
% 174.14/22.33 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint)),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f1005])).
% 174.14/22.33 fof(f4540,plain,(
% 174.14/22.33 class_Rings_Ocomm__semiring__1(tc_Int_Oint)),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f1033])).
% 174.14/22.33 fof(f4548,plain,(
% 174.14/22.33 class_Orderings_Olinorder(tc_Int_Oint)),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f1041])).
% 174.14/22.33 fof(f4580,plain,(
% 174.14/22.33 class_Rings_Olinordered__semidom(tc_Nat_Onat)),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f1073])).
% 174.14/22.33 fof(f4587,plain,(
% 174.14/22.33 class_Rings_Ocomm__semiring__1(tc_Nat_Onat)),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f1080])).
% 174.14/22.33 fof(f4614,plain,(
% 174.14/22.33 class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal)),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f1107])).
% 174.14/22.33 fof(f4616,plain,(
% 174.14/22.33 class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal)),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f1109])).
% 174.14/22.33 fof(f4617,plain,(
% 174.14/22.33 class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal)),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f1110])).
% 174.14/22.33 fof(f4627,plain,(
% 174.14/22.33 class_RealVector_Oreal__normed__field(tc_RealDef_Oreal)),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f1120])).
% 174.14/22.33 fof(f4628,plain,(
% 174.14/22.33 class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal)),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f1121])).
% 174.14/22.33 fof(f4634,plain,(
% 174.14/22.33 class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal)),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f1127])).
% 174.14/22.33 fof(f4644,plain,(
% 174.14/22.33 class_Rings_Olinordered__idom(tc_RealDef_Oreal)),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f1137])).
% 174.14/22.33 fof(f4645,plain,(
% 174.14/22.33 class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal)),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f1138])).
% 174.14/22.33 fof(f4646,plain,(
% 174.14/22.33 class_Rings_Ocomm__semiring__0(tc_RealDef_Oreal)),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f1139])).
% 174.14/22.33 fof(f4648,plain,(
% 174.14/22.33 class_Rings_Odivision__ring(tc_RealDef_Oreal)),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f1141])).
% 174.14/22.33 fof(f4654,plain,(
% 174.14/22.33 class_Orderings_Olinorder(tc_RealDef_Oreal)),
% 174.14/22.33 inference(cnf_transformation,[status(esa)],[f1147])).
% 174.14/22.33 fof(f4674,plain,(
% 174.14/22.33 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex)),
% 174.14/22.34 inference(cnf_transformation,[status(esa)],[f1167])).
% 174.14/22.34 fof(f4675,plain,(
% 174.14/22.34 class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex)),
% 174.14/22.34 inference(cnf_transformation,[status(esa)],[f1168])).
% 174.14/22.34 fof(f4676,plain,(
% 174.14/22.34 class_Rings_Odivision__ring__inverse__zero(tc_Complex_Ocomplex)),
% 174.14/22.34 inference(cnf_transformation,[status(esa)],[f1169])).
% 174.14/22.34 fof(f4682,plain,(
% 174.14/22.34 class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex)),
% 174.14/22.34 inference(cnf_transformation,[status(esa)],[f1175])).
% 174.14/22.34 fof(f4685,plain,(
% 174.14/22.34 class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex)),
% 174.14/22.34 inference(cnf_transformation,[status(esa)],[f1178])).
% 174.14/22.34 fof(f4691,plain,(
% 174.14/22.34 class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex)),
% 174.14/22.34 inference(cnf_transformation,[status(esa)],[f1184])).
% 174.14/22.34 fof(f4692,plain,(
% 174.14/22.34 class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex)),
% 174.14/22.34 inference(cnf_transformation,[status(esa)],[f1185])).
% 174.14/22.34 fof(f4697,plain,(
% 174.14/22.34 class_Rings_Ozero__neq__one(tc_Complex_Ocomplex)),
% 174.14/22.34 inference(cnf_transformation,[status(esa)],[f1190])).
% 174.14/22.34 fof(f4700,plain,(
% 174.14/22.34 class_Groups_Omonoid__add(tc_Complex_Ocomplex)),
% 174.14/22.34 inference(cnf_transformation,[status(esa)],[f1193])).
% 174.14/22.34 fof(f4827,plain,(
% 174.14/22.34 (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)))),
% 174.14/22.34 inference(pre_NNF_transformation,[status(esa)],[f1265])).
% 174.14/22.34 fof(f4828,plain,(
% 174.14/22.34 (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)))),
% 174.14/22.34 inference(NNF_transformation,[status(esa)],[f4827])).
% 174.14/22.34 fof(f4829,plain,(
% 174.14/22.34 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))),
% 174.14/22.34 inference(cnf_transformation,[status(esa)],[f4828])).
% 174.14/22.34 fof(f4830,plain,(
% 174.14/22.34 ~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))),
% 174.14/22.34 inference(cnf_transformation,[status(esa)],[f4828])).
% 174.14/22.34 fof(f4919,plain,(
% 174.14/22.34 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))),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f4920,plain,(
% 174.14/22.34 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),
% 174.14/22.34 inference(component_clause,[status(thm)],[f4919])).
% 174.14/22.34 fof(f4921,plain,(
% 174.14/22.34 ~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),
% 174.14/22.34 inference(component_clause,[status(thm)],[f4919])).
% 174.14/22.34 fof(f4922,plain,(
% 174.14/22.34 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))),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f4923,plain,(
% 174.14/22.34 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),
% 174.14/22.34 inference(component_clause,[status(thm)],[f4922])).
% 174.14/22.34 fof(f4925,plain,(
% 174.14/22.34 spl0_2|spl0_3),
% 174.14/22.34 inference(split_clause,[status(thm)],[f4829,f4919,f4922])).
% 174.14/22.34 fof(f4926,plain,(
% 174.14/22.34 ~spl0_2|~spl0_3),
% 174.14/22.34 inference(split_clause,[status(thm)],[f4830,f4919,f4922])).
% 174.14/22.34 fof(f4928,plain,(
% 174.14/22.34 ![X0,X1]: (~class_Rings_Oring__no__zero__divisors(X0)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ozero__class_Ozero(X0)),X1)=c_Groups_Ozero__class_Ozero(X0))),
% 174.14/22.34 inference(destructive_equality_resolution,[status(esa)],[f1349])).
% 174.14/22.34 fof(f4932,plain,(
% 174.14/22.34 ![X0,X1,X2]: (~class_Rings_Odivision__ring(X0)|X1=c_Groups_Ozero__class_Ozero(X0)|X2=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Rings_Oinverse__class_Odivide(X0,X2,X1)),X1))),
% 174.14/22.34 inference(destructive_equality_resolution,[status(esa)],[f1488])).
% 174.14/22.34 fof(f4948,plain,(
% 174.14/22.34 ![X0]: (~class_Fields_Ofield__inverse__zero(X0)|c_Rings_Oinverse__class_Oinverse(X0,c_Groups_Oone__class_Oone(X0))=c_Groups_Oone__class_Oone(X0))),
% 174.14/22.34 inference(destructive_equality_resolution,[status(esa)],[f1653])).
% 174.14/22.34 fof(f4954,plain,(
% 174.14/22.34 ![X0]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X0))),
% 174.14/22.34 inference(destructive_equality_resolution,[status(esa)],[f1858])).
% 174.14/22.34 fof(f4955,plain,(
% 174.14/22.34 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X0))),
% 174.14/22.34 inference(destructive_equality_resolution,[status(esa)],[f1864])).
% 174.14/22.34 fof(f5023,plain,(
% 174.14/22.34 ![X0]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X0))),
% 174.14/22.34 inference(destructive_equality_resolution,[status(esa)],[f3656])).
% 174.14/22.34 fof(f5024,plain,(
% 174.14/22.34 ![X0]: (c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Groups_Oone__class_Oone(tc_Int_Oint))))),
% 174.14/22.34 inference(destructive_equality_resolution,[status(esa)],[f3690])).
% 174.14/22.34 fof(f5070,plain,(
% 174.14/22.34 spl0_6 <=> 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_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f5072,plain,(
% 174.14/22.34 ~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_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|spl0_6),
% 174.14/22.34 inference(component_clause,[status(thm)],[f5070])).
% 174.14/22.34 fof(f5073,plain,(
% 174.14/22.34 spl0_7 <=> 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)),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f5074,plain,(
% 174.14/22.34 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_7),
% 174.14/22.34 inference(component_clause,[status(thm)],[f5073])).
% 174.14/22.34 fof(f5075,plain,(
% 174.14/22.34 ~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_7),
% 174.14/22.34 inference(component_clause,[status(thm)],[f5073])).
% 174.14/22.34 fof(f5081,plain,(
% 174.14/22.34 ![X0,X1]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|X0=X1|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0))),
% 174.14/22.34 inference(resolution,[status(thm)],[f1871,f1857])).
% 174.14/22.34 fof(f5089,plain,(
% 174.14/22.34 spl0_9 <=> 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_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))))),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f5091,plain,(
% 174.14/22.34 ~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_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))))|spl0_9),
% 174.14/22.34 inference(component_clause,[status(thm)],[f5089])).
% 174.14/22.34 fof(f5092,plain,(
% 174.14/22.34 ~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_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))))|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_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))))|~spl0_3),
% 174.14/22.34 inference(resolution,[status(thm)],[f4923,f5081])).
% 174.14/22.34 fof(f5093,plain,(
% 174.14/22.34 ~spl0_9|spl0_7|~spl0_3),
% 174.14/22.34 inference(split_clause,[status(thm)],[f5092,f5089,f5073,f4922])).
% 174.14/22.34 fof(f5109,plain,(
% 174.14/22.34 ![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,X2,X0)|X2=X0)),
% 174.14/22.34 inference(resolution,[status(thm)],[f1869,f1871])).
% 174.14/22.34 fof(f5110,plain,(
% 174.14/22.34 spl0_10 <=> ~X0=c_Groups_Oone__class_Oone(tc_Nat_Onat)),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f5111,plain,(
% 174.14/22.34 ![X0]: (~X0=c_Groups_Oone__class_Oone(tc_Nat_Onat)|~spl0_10)),
% 174.14/22.34 inference(component_clause,[status(thm)],[f5110])).
% 174.14/22.34 fof(f5113,plain,(
% 174.14/22.34 spl0_11 <=> c_Groups_Oone__class_Oone(tc_Nat_Onat)=c_Groups_Oone__class_Oone(tc_Nat_Onat)),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f5116,plain,(
% 174.14/22.34 ![X0]: (~X0=c_Groups_Oone__class_Oone(tc_Nat_Onat)|c_Groups_Oone__class_Oone(tc_Nat_Onat)=c_Groups_Oone__class_Oone(tc_Nat_Onat))),
% 174.14/22.34 inference(paramodulation,[status(thm)],[f2927,f2916])).
% 174.14/22.34 fof(f5117,plain,(
% 174.14/22.34 spl0_10|spl0_11),
% 174.14/22.34 inference(split_clause,[status(thm)],[f5116,f5110,f5113])).
% 174.14/22.34 fof(f5118,plain,(
% 174.14/22.34 $false|~spl0_10),
% 174.14/22.34 inference(destructive_equality_resolution,[status(esa)],[f5111])).
% 174.14/22.34 fof(f5119,plain,(
% 174.14/22.34 ~spl0_10),
% 174.14/22.34 inference(contradiction_clause,[status(thm)],[f5118])).
% 174.14/22.34 fof(f5122,plain,(
% 174.14/22.34 ![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))),
% 174.14/22.34 inference(paramodulation,[status(thm)],[f2171,f1851])).
% 174.14/22.34 fof(f5123,plain,(
% 174.14/22.34 ![X0]: (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
% 174.14/22.34 inference(paramodulation,[status(thm)],[f2172,f1851])).
% 174.14/22.34 fof(f5125,plain,(
% 174.14/22.34 ![X0]: (X0=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
% 174.14/22.34 inference(paramodulation,[status(thm)],[f2171,f2090])).
% 174.14/22.34 fof(f5126,plain,(
% 174.14/22.34 ![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))),
% 174.14/22.34 inference(paramodulation,[status(thm)],[f1851,f2090])).
% 174.14/22.34 fof(f5137,plain,(
% 174.14/22.34 ![X0]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Groups_Oone__class_Oone(tc_Int_Oint)))|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0))),
% 174.14/22.34 inference(resolution,[status(thm)],[f3693,f3697])).
% 174.14/22.34 fof(f5140,plain,(
% 174.14/22.34 ![X0,X1,X2,X3]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0)|X2=X0|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X3)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3,X2))),
% 174.14/22.34 inference(resolution,[status(thm)],[f5109,f1869])).
% 174.14/22.34 fof(f5156,plain,(
% 174.14/22.34 ![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)|X2=X0|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X0))),
% 174.14/22.34 inference(resolution,[status(thm)],[f5109,f1857])).
% 174.14/22.34 fof(f5158,plain,(
% 174.14/22.34 ![X0,X1]: (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0),X1)=c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1),X0))),
% 174.14/22.34 inference(paramodulation,[status(thm)],[f1851,f5126])).
% 174.14/22.34 fof(f5161,plain,(
% 174.14/22.34 ![X0]: (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,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)),X0))),
% 174.14/22.34 inference(paramodulation,[status(thm)],[f2172,f5126])).
% 174.14/22.34 fof(f5172,plain,(
% 174.14/22.34 ![X0]: (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)=c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
% 174.14/22.34 inference(paramodulation,[status(thm)],[f2172,f5158])).
% 174.14/22.34 fof(f5196,plain,(
% 174.14/22.34 ![X0]: (X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X0)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 174.14/22.34 inference(forward_demodulation,[status(thm)],[f5126,f1844])).
% 174.14/22.34 fof(f5197,plain,(
% 174.14/22.34 spl0_17 <=> c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f5198,plain,(
% 174.14/22.34 c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_17),
% 174.14/22.34 inference(component_clause,[status(thm)],[f5197])).
% 174.14/22.34 fof(f5200,plain,(
% 174.14/22.34 spl0_18 <=> c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f5201,plain,(
% 174.14/22.34 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_18),
% 174.14/22.34 inference(component_clause,[status(thm)],[f5200])).
% 174.14/22.34 fof(f5203,plain,(
% 174.14/22.34 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_Oone__class_Oone(tc_RealDef_Oreal)),
% 174.14/22.34 inference(paramodulation,[status(thm)],[f5122,f5196])).
% 174.14/22.34 fof(f5204,plain,(
% 174.14/22.34 spl0_17|spl0_18),
% 174.14/22.34 inference(split_clause,[status(thm)],[f5203,f5197,f5200])).
% 174.14/22.34 fof(f5207,plain,(
% 174.14/22.34 $false|~spl0_17),
% 174.14/22.34 inference(forward_subsumption_resolution,[status(thm)],[f5198,f2170])).
% 174.14/22.34 fof(f5208,plain,(
% 174.14/22.34 ~spl0_17),
% 174.14/22.34 inference(contradiction_clause,[status(thm)],[f5207])).
% 174.14/22.34 fof(f5209,plain,(
% 174.14/22.34 ![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),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1)),X3)))),
% 174.14/22.34 inference(forward_demodulation,[status(thm)],[f5126,f1847])).
% 174.14/22.34 fof(f5210,plain,(
% 174.14/22.34 ![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)))),
% 174.14/22.34 inference(forward_demodulation,[status(thm)],[f5126,f5209])).
% 174.14/22.34 fof(f5211,plain,(
% 174.14/22.34 ![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,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))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)|c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=X1)),
% 174.14/22.34 inference(resolution,[status(thm)],[f5210,f1859])).
% 174.14/22.34 fof(f5214,plain,(
% 174.14/22.34 spl0_19 <=> ~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,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f5215,plain,(
% 174.14/22.34 ![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,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~spl0_19)),
% 174.14/22.34 inference(component_clause,[status(thm)],[f5214])).
% 174.14/22.34 fof(f5217,plain,(
% 174.14/22.34 spl0_20 <=> 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))),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f5219,plain,(
% 174.14/22.34 ~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_20),
% 174.14/22.34 inference(component_clause,[status(thm)],[f5217])).
% 174.14/22.34 fof(f5220,plain,(
% 174.14/22.34 spl0_21 <=> c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f5230,plain,(
% 174.14/22.34 $false|spl0_20),
% 174.14/22.34 inference(forward_subsumption_resolution,[status(thm)],[f5219,f4955])).
% 174.14/22.34 fof(f5231,plain,(
% 174.14/22.34 spl0_20),
% 174.14/22.34 inference(contradiction_clause,[status(thm)],[f5230])).
% 174.14/22.34 fof(f5232,plain,(
% 174.14/22.34 spl0_22 <=> ~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,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f5233,plain,(
% 174.14/22.34 ![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,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~spl0_22)),
% 174.14/22.34 inference(component_clause,[status(thm)],[f5232])).
% 174.14/22.34 fof(f5243,plain,(
% 174.14/22.34 ![X0,X1,X2]: (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),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X2,X0))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
% 174.14/22.34 inference(resolution,[status(thm)],[f1876,f1874])).
% 174.14/22.34 fof(f5246,plain,(
% 174.14/22.34 spl0_23 <=> 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))),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f5247,plain,(
% 174.14/22.34 ![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_23)),
% 174.14/22.34 inference(component_clause,[status(thm)],[f5246])).
% 174.14/22.34 fof(f5255,plain,(
% 174.14/22.34 spl0_24 <=> class_Rings_Ocomm__semiring__1(tc_Nat_Onat)),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f5257,plain,(
% 174.14/22.34 ~class_Rings_Ocomm__semiring__1(tc_Nat_Onat)|spl0_24),
% 174.14/22.34 inference(component_clause,[status(thm)],[f5255])).
% 174.14/22.34 fof(f5273,plain,(
% 174.14/22.34 ![X0]: (~sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X0)=hAPP(X0,sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X0))|hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))=X0)),
% 174.14/22.34 inference(paramodulation,[status(thm)],[f3530,f1268])).
% 174.14/22.34 fof(f5274,plain,(
% 174.14/22.34 ![X0]: (~sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X0)=hAPP(X0,sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X0))|hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))=X0)),
% 174.14/22.34 inference(paramodulation,[status(thm)],[f2927,f1268])).
% 174.14/22.34 fof(f5276,plain,(
% 174.14/22.34 ![X0]: (~sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0)=hAPP(X0,sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0))|hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=X0)),
% 174.14/22.34 inference(paramodulation,[status(thm)],[f2171,f1268])).
% 174.14/22.34 fof(f5296,plain,(
% 174.14/22.34 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_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))))|spl0_6),
% 174.14/22.34 inference(resolution,[status(thm)],[f5072,f1866])).
% 174.14/22.34 fof(f5297,plain,(
% 174.14/22.34 $false|spl0_9|spl0_6),
% 174.14/22.34 inference(forward_subsumption_resolution,[status(thm)],[f5296,f5091])).
% 174.14/22.34 fof(f5298,plain,(
% 174.14/22.34 spl0_9|spl0_6),
% 174.14/22.34 inference(contradiction_clause,[status(thm)],[f5297])).
% 174.14/22.34 fof(f5317,plain,(
% 174.14/22.34 spl0_25 <=> c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f5337,plain,(
% 174.14/22.34 spl0_28 <=> 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))),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f5342,plain,(
% 174.14/22.34 spl0_29 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f5344,plain,(
% 174.14/22.34 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|spl0_29),
% 174.14/22.34 inference(component_clause,[status(thm)],[f5342])).
% 174.14/22.34 fof(f5358,plain,(
% 174.14/22.34 spl0_30 <=> ~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_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f5359,plain,(
% 174.14/22.34 ![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_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~spl0_30)),
% 174.14/22.34 inference(component_clause,[status(thm)],[f5358])).
% 174.14/22.34 fof(f5366,plain,(
% 174.14/22.34 ![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_Oone__class_Oone(tc_RealDef_Oreal),X1)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)|~spl0_30)),
% 174.14/22.34 inference(resolution,[status(thm)],[f5359,f1869])).
% 174.14/22.34 fof(f5367,plain,(
% 174.14/22.34 ![X0]: (~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,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~spl0_30)),
% 174.14/22.34 inference(resolution,[status(thm)],[f5359,f1866])).
% 174.14/22.34 fof(f5369,plain,(
% 174.14/22.34 ~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_30),
% 174.14/22.34 inference(resolution,[status(thm)],[f5359,f4955])).
% 174.14/22.34 fof(f5371,plain,(
% 174.14/22.34 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_30),
% 174.14/22.34 inference(resolution,[status(thm)],[f5369,f1866])).
% 174.14/22.34 fof(f5372,plain,(
% 174.14/22.34 ~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_30),
% 174.14/22.34 inference(resolution,[status(thm)],[f5369,f1857])).
% 174.14/22.34 fof(f5382,plain,(
% 174.14/22.34 ~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_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~spl0_30),
% 174.14/22.34 inference(resolution,[status(thm)],[f5367,f5359])).
% 174.14/22.34 fof(f5383,plain,(
% 174.14/22.34 ~spl0_28|~spl0_30),
% 174.14/22.34 inference(split_clause,[status(thm)],[f5382,f5337,f5358])).
% 174.14/22.34 fof(f5406,plain,(
% 174.14/22.34 ![X0,X1,X2]: (~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,X1,X0)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X2)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1)|~spl0_30)),
% 174.14/22.34 inference(resolution,[status(thm)],[f5366,f1869])).
% 174.14/22.34 fof(f5407,plain,(
% 174.14/22.34 ![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,X1,X0)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~spl0_30)),
% 174.14/22.34 inference(resolution,[status(thm)],[f5366,f1866])).
% 174.14/22.34 fof(f5414,plain,(
% 174.14/22.34 spl0_32 <=> ~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)),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f5415,plain,(
% 174.14/22.34 ![X0]: (~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)|~spl0_32)),
% 174.14/22.34 inference(component_clause,[status(thm)],[f5414])).
% 174.14/22.34 fof(f5427,plain,(
% 174.14/22.34 spl0_33 <=> ~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,X1,X0)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f5435,plain,(
% 174.14/22.34 ![X0,X1,X2]: (~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,X1,X0)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~spl0_30)),
% 174.14/22.34 inference(resolution,[status(thm)],[f5406,f1866])).
% 174.14/22.34 fof(f5438,plain,(
% 174.14/22.34 spl0_34 <=> ~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,X1,X0)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f5445,plain,(
% 174.14/22.34 ![X0,X1,X2,X3]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X3)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~spl0_30)),
% 174.14/22.34 inference(resolution,[status(thm)],[f5435,f1869])).
% 174.14/22.34 fof(f5446,plain,(
% 174.14/22.34 ![X0,X1,X2]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)|~spl0_30)),
% 174.14/22.34 inference(resolution,[status(thm)],[f5435,f1866])).
% 174.14/22.34 fof(f5449,plain,(
% 174.14/22.34 spl0_35 <=> ~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_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f5450,plain,(
% 174.14/22.34 ![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_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~spl0_35)),
% 174.14/22.34 inference(component_clause,[status(thm)],[f5449])).
% 174.14/22.34 fof(f5455,plain,(
% 174.14/22.34 spl0_36 <=> 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))),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f5510,plain,(
% 174.14/22.34 ![X0]: (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)),X0)|~spl0_18)),
% 174.14/22.34 inference(paramodulation,[status(thm)],[f5201,f5126])).
% 174.14/22.34 fof(f5511,plain,(
% 174.14/22.34 ![X0]: (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=X0|~spl0_18)),
% 174.14/22.34 inference(forward_demodulation,[status(thm)],[f2171,f5510])).
% 174.14/22.34 fof(f5573,plain,(
% 174.14/22.34 ![X0,X1,X2,X3]: (X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~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),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0)),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X3))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X2,X1),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0))))),
% 174.14/22.34 inference(resolution,[status(thm)],[f2196,f5210])).
% 174.14/22.34 fof(f5582,plain,(
% 174.14/22.34 ![X0]: (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_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0),X0))|c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 174.14/22.34 inference(paramodulation,[status(thm)],[f5126,f2196])).
% 174.14/22.34 fof(f5583,plain,(
% 174.14/22.34 spl0_38 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f5584,plain,(
% 174.14/22.34 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_38),
% 174.14/22.34 inference(component_clause,[status(thm)],[f5583])).
% 174.14/22.34 fof(f5586,plain,(
% 174.14/22.34 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_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 174.14/22.34 inference(paramodulation,[status(thm)],[f2171,f2196])).
% 174.14/22.34 fof(f5587,plain,(
% 174.14/22.34 spl0_38|spl0_17),
% 174.14/22.34 inference(split_clause,[status(thm)],[f5586,f5583,f5197])).
% 174.14/22.34 fof(f5597,plain,(
% 174.14/22.34 spl0_39 <=> c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f5602,plain,(
% 174.14/22.34 spl0_40 <=> c_Orderings_Oord__class_Oless(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)))),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f5605,plain,(
% 174.14/22.34 spl0_41 <=> c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f5606,plain,(
% 174.14/22.34 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_41),
% 174.14/22.34 inference(component_clause,[status(thm)],[f5605])).
% 174.14/22.34 fof(f5608,plain,(
% 174.14/22.34 c_Orderings_Oord__class_Oless(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_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_18),
% 174.14/22.34 inference(paramodulation,[status(thm)],[f5511,f5582])).
% 174.14/22.34 fof(f5609,plain,(
% 174.14/22.34 spl0_40|spl0_41|~spl0_18),
% 174.14/22.34 inference(split_clause,[status(thm)],[f5608,f5602,f5605,f5200])).
% 174.14/22.34 fof(f5610,plain,(
% 174.14/22.34 spl0_42 <=> 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_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f5613,plain,(
% 174.14/22.34 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_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(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_18),
% 174.14/22.34 inference(paramodulation,[status(thm)],[f5201,f5582])).
% 174.14/22.34 fof(f5614,plain,(
% 174.14/22.34 spl0_42|spl0_41|~spl0_18),
% 174.14/22.34 inference(split_clause,[status(thm)],[f5613,f5610,f5605,f5200])).
% 174.14/22.34 fof(f5617,plain,(
% 174.14/22.34 c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_18|~spl0_41),
% 174.14/22.34 inference(forward_demodulation,[status(thm)],[f5201,f5606])).
% 174.14/22.34 fof(f5618,plain,(
% 174.14/22.34 $false|~spl0_18|~spl0_41),
% 174.14/22.34 inference(forward_subsumption_resolution,[status(thm)],[f5617,f2170])).
% 174.14/22.34 fof(f5619,plain,(
% 174.14/22.34 ~spl0_18|~spl0_41),
% 174.14/22.34 inference(contradiction_clause,[status(thm)],[f5618])).
% 174.14/22.34 fof(f5627,plain,(
% 174.14/22.34 ![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_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|~spl0_38)),
% 174.14/22.34 inference(resolution,[status(thm)],[f5584,f5156])).
% 174.14/22.34 fof(f5628,plain,(
% 174.14/22.34 spl0_30|spl0_17|~spl0_38),
% 174.14/22.34 inference(split_clause,[status(thm)],[f5627,f5358,f5197,f5583])).
% 174.14/22.34 fof(f5631,plain,(
% 174.14/22.34 spl0_43 <=> 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,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f5636,plain,(
% 174.14/22.34 ![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,c_Groups_Ozero__class_Ozero(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),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
% 174.14/22.34 inference(resolution,[status(thm)],[f1877,f1874])).
% 174.14/22.34 fof(f5637,plain,(
% 174.14/22.34 spl0_43|spl0_19),
% 174.14/22.34 inference(split_clause,[status(thm)],[f5636,f5631,f5214])).
% 174.14/22.34 fof(f5642,plain,(
% 174.14/22.34 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~spl0_23|~spl0_22)),
% 174.14/22.34 inference(forward_subsumption_resolution,[status(thm)],[f5233,f5247])).
% 174.14/22.34 fof(f5647,plain,(
% 174.14/22.34 spl0_44 <=> 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_Oone__class_Oone(tc_RealDef_Oreal)))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f5650,plain,(
% 174.14/22.34 ![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_Oone__class_Oone(tc_RealDef_Oreal)))|~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),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~spl0_30)),
% 174.14/22.34 inference(resolution,[status(thm)],[f1878,f5367])).
% 174.14/22.34 fof(f5651,plain,(
% 174.14/22.34 spl0_44|~spl0_20|~spl0_30),
% 174.14/22.34 inference(split_clause,[status(thm)],[f5650,f5647,f5217,f5358])).
% 174.14/22.34 fof(f5656,plain,(
% 174.14/22.34 spl0_45 <=> 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)))),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f5665,plain,(
% 174.14/22.34 ![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)))),
% 174.14/22.34 inference(resolution,[status(thm)],[f1879,f4955])).
% 174.14/22.34 fof(f5666,plain,(
% 174.14/22.34 spl0_45|~spl0_20),
% 174.14/22.34 inference(split_clause,[status(thm)],[f5665,f5656,f5217])).
% 174.14/22.34 fof(f5727,plain,(
% 174.14/22.34 $false|~spl0_23|~spl0_22|~spl0_30),
% 174.14/22.34 inference(backward_subsumption_resolution,[status(thm)],[f5369,f5642])).
% 174.14/22.34 fof(f5728,plain,(
% 174.14/22.34 ~spl0_23|~spl0_22|~spl0_30),
% 174.14/22.34 inference(contradiction_clause,[status(thm)],[f5727])).
% 174.14/22.34 fof(f5774,plain,(
% 174.14/22.34 ![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,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)|~spl0_30)),
% 174.14/22.34 inference(resolution,[status(thm)],[f5359,f1866])).
% 174.14/22.34 fof(f5775,plain,(
% 174.14/22.34 ![X0]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~spl0_30)),
% 174.14/22.34 inference(resolution,[status(thm)],[f5359,f1857])).
% 174.14/22.34 fof(f5782,plain,(
% 174.14/22.34 ![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_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~spl0_30)),
% 174.14/22.34 inference(resolution,[status(thm)],[f5774,f1866])).
% 174.14/22.34 fof(f5803,plain,(
% 174.14/22.34 spl0_46 <=> ~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,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f5809,plain,(
% 174.14/22.34 ![X0,X1]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|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_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)|~spl0_30)),
% 174.14/22.34 inference(resolution,[status(thm)],[f5407,f1866])).
% 174.14/22.34 fof(f5831,plain,(
% 174.14/22.34 ![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,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~spl0_30)),
% 174.14/22.34 inference(resolution,[status(thm)],[f5809,f5407])).
% 174.14/22.34 fof(f5832,plain,(
% 174.14/22.34 spl0_46|~spl0_30),
% 174.14/22.34 inference(split_clause,[status(thm)],[f5831,f5803,f5358])).
% 174.14/22.34 fof(f5871,plain,(
% 174.14/22.34 ![X0,X1,X2,X3]: (~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,X1,X0)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3,X2)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~spl0_30)),
% 174.14/22.34 inference(resolution,[status(thm)],[f5446,f5435])).
% 174.14/22.34 fof(f5872,plain,(
% 174.14/22.34 spl0_34|~spl0_30),
% 174.14/22.34 inference(split_clause,[status(thm)],[f5871,f5438,f5358])).
% 174.14/22.34 fof(f5885,plain,(
% 174.14/22.34 spl0_48 <=> 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,X0)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f5953,plain,(
% 174.14/22.34 spl0_52 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(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))),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f5955,plain,(
% 174.14/22.34 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(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))|spl0_52),
% 174.14/22.34 inference(component_clause,[status(thm)],[f5953])).
% 174.14/22.34 fof(f5963,plain,(
% 174.14/22.34 spl0_53 <=> 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_Ozero__class_Ozero(tc_RealDef_Oreal)))),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f5965,plain,(
% 174.14/22.34 ~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_Ozero__class_Ozero(tc_RealDef_Oreal)))|spl0_53),
% 174.14/22.34 inference(component_clause,[status(thm)],[f5963])).
% 174.14/22.34 fof(f5970,plain,(
% 174.14/22.34 $false|~spl0_23|spl0_53),
% 174.14/22.34 inference(forward_subsumption_resolution,[status(thm)],[f5965,f5247])).
% 174.14/22.34 fof(f5971,plain,(
% 174.14/22.34 ~spl0_23|spl0_53),
% 174.14/22.34 inference(contradiction_clause,[status(thm)],[f5970])).
% 174.14/22.34 fof(f6024,plain,(
% 174.14/22.34 ![X0,X1,X2,X3]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|X2=X0|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X3)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3,X2)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X2))),
% 174.14/22.34 inference(resolution,[status(thm)],[f5140,f1866])).
% 174.14/22.34 fof(f6054,plain,(
% 174.14/22.34 ![X0,X1,X2,X3]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0)|X2=X0|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3,X2)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3,X1))),
% 174.14/22.34 inference(resolution,[status(thm)],[f5140,f1866])).
% 174.14/22.34 fof(f6069,plain,(
% 174.14/22.34 ![X0,X1,X2,X3]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0)|X2=X0|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X3)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X3))),
% 174.14/22.34 inference(resolution,[status(thm)],[f5140,f1866])).
% 174.14/22.34 fof(f6112,plain,(
% 174.14/22.34 spl0_57 <=> ~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_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f6113,plain,(
% 174.14/22.34 ![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_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~spl0_57)),
% 174.14/22.34 inference(component_clause,[status(thm)],[f6112])).
% 174.14/22.34 fof(f6154,plain,(
% 174.14/22.34 spl0_59 <=> ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=X0|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f6195,plain,(
% 174.14/22.34 spl0_61 <=> ~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,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f6196,plain,(
% 174.14/22.34 ![X0,X1]: (~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,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)|~spl0_61)),
% 174.14/22.34 inference(component_clause,[status(thm)],[f6195])).
% 174.14/22.34 fof(f6198,plain,(
% 174.14/22.34 ![X0,X1]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0)|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,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)|~spl0_30)),
% 174.14/22.34 inference(resolution,[status(thm)],[f6054,f5371])).
% 174.14/22.34 fof(f6199,plain,(
% 174.14/22.34 spl0_61|spl0_17|~spl0_30),
% 174.14/22.34 inference(split_clause,[status(thm)],[f6198,f6195,f5197,f5358])).
% 174.14/22.34 fof(f6200,plain,(
% 174.14/22.34 spl0_62 <=> ~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)),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f6242,plain,(
% 174.14/22.34 ![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,X0,X1)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~spl0_61)),
% 174.14/22.34 inference(resolution,[status(thm)],[f6196,f1866])).
% 174.14/22.34 fof(f6244,plain,(
% 174.14/22.34 spl0_64 <=> 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_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f6253,plain,(
% 174.14/22.34 ![X0,X1,X2]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X2)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~spl0_61)),
% 174.14/22.34 inference(resolution,[status(thm)],[f6242,f1869])).
% 174.14/22.34 fof(f6254,plain,(
% 174.14/22.34 ![X0,X1]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)|~spl0_61)),
% 174.14/22.34 inference(resolution,[status(thm)],[f6242,f1866])).
% 174.14/22.34 fof(f6321,plain,(
% 174.14/22.34 ![X0,X1]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0)|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,X1)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)|~spl0_30)),
% 174.14/22.34 inference(resolution,[status(thm)],[f6069,f5371])).
% 174.14/22.34 fof(f6322,plain,(
% 174.14/22.34 spl0_48|spl0_17|~spl0_30),
% 174.14/22.34 inference(split_clause,[status(thm)],[f6321,f5885,f5197,f5358])).
% 174.14/22.34 fof(f6447,plain,(
% 174.14/22.34 spl0_68 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0)=X0),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f6450,plain,(
% 174.14/22.34 ![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)),
% 174.14/22.34 inference(resolution,[status(thm)],[f2163,f2171])).
% 174.14/22.34 fof(f6451,plain,(
% 174.14/22.34 spl0_17|spl0_68),
% 174.14/22.34 inference(split_clause,[status(thm)],[f6450,f5197,f6447])).
% 174.14/22.34 fof(f6463,plain,(
% 174.14/22.34 spl0_70 <=> ~X0=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1)|X0=X1),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f6466,plain,(
% 174.14/22.34 ![X0,X1]: (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_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1)|X0=X1)),
% 174.14/22.34 inference(paramodulation,[status(thm)],[f2171,f2163])).
% 174.14/22.34 fof(f6467,plain,(
% 174.14/22.34 spl0_17|spl0_70),
% 174.14/22.34 inference(split_clause,[status(thm)],[f6466,f5197,f6463])).
% 174.14/22.34 fof(f6469,plain,(
% 174.14/22.34 ![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)),
% 174.14/22.34 inference(paramodulation,[status(thm)],[f5125,f2163])).
% 174.14/22.34 fof(f6486,plain,(
% 174.14/22.34 spl0_71 <=> X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f6487,plain,(
% 174.14/22.34 ![X0]: (X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_71)),
% 174.14/22.34 inference(component_clause,[status(thm)],[f6486])).
% 174.14/22.34 fof(f6489,plain,(
% 174.14/22.34 spl0_72 <=> X1=X1),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f6492,plain,(
% 174.14/22.34 ![X0,X1]: (X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|X1=X1)),
% 174.14/22.34 inference(equality_resolution,[status(esa)],[f2163])).
% 174.14/22.34 fof(f6493,plain,(
% 174.14/22.34 spl0_71|spl0_72),
% 174.14/22.34 inference(split_clause,[status(thm)],[f6492,f6486,f6489])).
% 174.14/22.34 fof(f6494,plain,(
% 174.14/22.34 spl0_73 <=> X0=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f6497,plain,(
% 174.14/22.34 ![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)))),
% 174.14/22.34 inference(resolution,[status(thm)],[f2168,f5125])).
% 174.14/22.34 fof(f6498,plain,(
% 174.14/22.34 spl0_17|spl0_73),
% 174.14/22.34 inference(split_clause,[status(thm)],[f6497,f5197,f6494])).
% 174.14/22.34 fof(f6510,plain,(
% 174.14/22.34 spl0_75 <=> ~X0=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|X0=X1),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f6513,plain,(
% 174.14/22.34 ![X0,X1]: (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),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|X0=X1)),
% 174.14/22.34 inference(paramodulation,[status(thm)],[f5125,f2168])).
% 174.14/22.34 fof(f6514,plain,(
% 174.14/22.34 spl0_17|spl0_75),
% 174.14/22.34 inference(split_clause,[status(thm)],[f6513,f5197,f6510])).
% 174.14/22.34 fof(f6564,plain,(
% 174.14/22.34 ![X0]: (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,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),X0))),
% 174.14/22.34 inference(paramodulation,[status(thm)],[f5125,f2821])).
% 174.14/22.34 fof(f6565,plain,(
% 174.14/22.34 ![X0]: (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0))=c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0))),
% 174.14/22.34 inference(forward_demodulation,[status(thm)],[f5122,f6564])).
% 174.14/22.34 fof(f6616,plain,(
% 174.14/22.34 c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
% 174.14/22.34 inference(resolution,[status(thm)],[f4580,f1666])).
% 174.14/22.34 fof(f6652,plain,(
% 174.14/22.34 ![X0]: (X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0))=c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0)))),
% 174.14/22.34 inference(resolution,[status(thm)],[f4614,f1304])).
% 174.14/22.34 fof(f6653,plain,(
% 174.14/22.34 spl0_76 <=> c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f6654,plain,(
% 174.14/22.34 c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))|~spl0_76),
% 174.14/22.34 inference(component_clause,[status(thm)],[f6653])).
% 174.14/22.34 fof(f6656,plain,(
% 174.14/22.34 c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))|~spl0_18),
% 174.14/22.34 inference(paramodulation,[status(thm)],[f5201,f6652])).
% 174.14/22.34 fof(f6657,plain,(
% 174.14/22.34 spl0_17|spl0_76|~spl0_18),
% 174.14/22.34 inference(split_clause,[status(thm)],[f6656,f5197,f6653,f5200])).
% 174.14/22.34 fof(f6663,plain,(
% 174.14/22.34 c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
% 174.14/22.34 inference(resolution,[status(thm)],[f4617,f1295])).
% 174.14/22.34 fof(f6675,plain,(
% 174.14/22.34 ![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))),
% 174.14/22.34 inference(resolution,[status(thm)],[f4928,f4628])).
% 174.14/22.34 fof(f6676,plain,(
% 174.14/22.34 ![X0]: (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 174.14/22.34 inference(forward_demodulation,[status(thm)],[f5161,f6675])).
% 174.14/22.34 fof(f6711,plain,(
% 174.14/22.34 ![X0,X1,X2]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X2)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)|~spl0_61)),
% 174.14/22.34 inference(resolution,[status(thm)],[f6253,f1866])).
% 174.14/22.34 fof(f6765,plain,(
% 174.14/22.34 ![X0,X1,X2]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2)|~spl0_61)),
% 174.14/22.34 inference(resolution,[status(thm)],[f6711,f1857])).
% 174.14/22.34 fof(f7074,plain,(
% 174.14/22.34 ![X0,X1,X2,X3]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X3)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3)|~spl0_30)),
% 174.14/22.34 inference(resolution,[status(thm)],[f5445,f1866])).
% 174.14/22.34 fof(f7315,plain,(
% 174.14/22.34 ![X0,X1]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)|~spl0_30)),
% 174.14/22.34 inference(resolution,[status(thm)],[f7074,f1857])).
% 174.14/22.34 fof(f7316,plain,(
% 174.14/22.34 ![X0,X1]: (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_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)|~spl0_61|~spl0_30)),
% 174.14/22.34 inference(forward_subsumption_resolution,[status(thm)],[f7315,f6254])).
% 174.14/22.34 fof(f7372,plain,(
% 174.14/22.34 $false|~spl0_71),
% 174.14/22.34 inference(backward_subsumption_resolution,[status(thm)],[f2170,f6487])).
% 174.14/22.34 fof(f7373,plain,(
% 174.14/22.34 ~spl0_71),
% 174.14/22.34 inference(contradiction_clause,[status(thm)],[f7372])).
% 174.14/22.34 fof(f7409,plain,(
% 174.14/22.34 ![X0]: (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 174.14/22.34 inference(backward_demodulation,[status(thm)],[f6676,f5172])).
% 174.14/22.34 fof(f7411,plain,(
% 174.14/22.34 ![X0]: (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)),X0))),
% 174.14/22.34 inference(backward_demodulation,[status(thm)],[f6676,f5161])).
% 174.14/22.34 fof(f7412,plain,(
% 174.14/22.34 ![X0]: (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
% 174.14/22.34 inference(backward_demodulation,[status(thm)],[f6676,f5123])).
% 174.14/22.34 fof(f7419,plain,(
% 174.14/22.34 spl0_130 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f7420,plain,(
% 174.14/22.34 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_130),
% 174.14/22.34 inference(component_clause,[status(thm)],[f7419])).
% 174.14/22.34 fof(f7519,plain,(
% 174.14/22.34 spl0_131 <=> 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_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f7522,plain,(
% 174.14/22.34 spl0_132 <=> c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f7523,plain,(
% 174.14/22.34 c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_132),
% 174.14/22.34 inference(component_clause,[status(thm)],[f7522])).
% 174.14/22.34 fof(f7525,plain,(
% 174.14/22.34 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_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))|c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_76),
% 174.14/22.34 inference(paramodulation,[status(thm)],[f6654,f5582])).
% 174.14/22.34 fof(f7526,plain,(
% 174.14/22.34 spl0_131|spl0_132|~spl0_76),
% 174.14/22.34 inference(split_clause,[status(thm)],[f7525,f7519,f7522,f6653])).
% 174.14/22.34 fof(f7562,plain,(
% 174.14/22.34 spl0_138 <=> ~c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=X0|c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=X0),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f7565,plain,(
% 174.14/22.34 ![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)),
% 174.14/22.34 inference(paramodulation,[status(thm)],[f2171,f6469])).
% 174.14/22.34 fof(f7566,plain,(
% 174.14/22.34 spl0_17|spl0_138),
% 174.14/22.34 inference(split_clause,[status(thm)],[f7565,f5197,f7562])).
% 174.14/22.34 fof(f7567,plain,(
% 174.14/22.34 spl0_139 <=> X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f7570,plain,(
% 174.14/22.34 ![X0]: (X0=c_Groups_Ozero__class_Ozero(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))),
% 174.14/22.34 inference(paramodulation,[status(thm)],[f7412,f6469])).
% 174.14/22.34 fof(f7571,plain,(
% 174.14/22.34 spl0_139|spl0_17),
% 174.14/22.34 inference(split_clause,[status(thm)],[f7570,f7567,f5197])).
% 174.14/22.34 fof(f7577,plain,(
% 174.14/22.34 ![X0,X1]: (X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~X0=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,X1))),
% 174.14/22.34 inference(paramodulation,[status(thm)],[f1851,f6469])).
% 174.14/22.34 fof(f7595,plain,(
% 174.14/22.34 ~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_52),
% 174.14/22.34 inference(forward_demodulation,[status(thm)],[f7409,f5955])).
% 174.14/22.34 fof(f7596,plain,(
% 174.14/22.34 $false|spl0_52),
% 174.14/22.34 inference(forward_subsumption_resolution,[status(thm)],[f7595,f4955])).
% 174.14/22.34 fof(f7597,plain,(
% 174.14/22.34 spl0_52),
% 174.14/22.34 inference(contradiction_clause,[status(thm)],[f7596])).
% 174.14/22.34 fof(f7598,plain,(
% 174.14/22.34 $false|spl0_24),
% 174.14/22.34 inference(forward_subsumption_resolution,[status(thm)],[f5257,f4587])).
% 174.14/22.34 fof(f7599,plain,(
% 174.14/22.34 spl0_24),
% 174.14/22.34 inference(contradiction_clause,[status(thm)],[f7598])).
% 174.14/22.34 fof(f7637,plain,(
% 174.14/22.34 spl0_144 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f7644,plain,(
% 174.14/22.34 spl0_145 <=> ~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X0)=c_Groups_Oone__class_Oone(tc_Int_Oint)),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f7645,plain,(
% 174.14/22.34 ![X0]: (~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X0)=c_Groups_Oone__class_Oone(tc_Int_Oint)|~spl0_145)),
% 174.14/22.34 inference(component_clause,[status(thm)],[f7644])).
% 174.14/22.34 fof(f7647,plain,(
% 174.14/22.34 spl0_146 <=> c_Groups_Oone__class_Oone(tc_Int_Oint)=c_Groups_Oone__class_Oone(tc_Int_Oint)),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f7650,plain,(
% 174.14/22.34 ![X0]: (~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X0)=c_Groups_Oone__class_Oone(tc_Int_Oint)|c_Groups_Oone__class_Oone(tc_Int_Oint)=c_Groups_Oone__class_Oone(tc_Int_Oint))),
% 174.14/22.34 inference(resolution,[status(thm)],[f3540,f3645])).
% 174.14/22.34 fof(f7651,plain,(
% 174.14/22.34 spl0_145|spl0_146),
% 174.14/22.34 inference(split_clause,[status(thm)],[f7650,f7644,f7647])).
% 174.14/22.34 fof(f7658,plain,(
% 174.14/22.34 spl0_148 <=> c_Groups_Oplus__class_Oplus(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)),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f7659,plain,(
% 174.14/22.34 c_Groups_Oplus__class_Oplus(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)|~spl0_148),
% 174.14/22.34 inference(component_clause,[status(thm)],[f7658])).
% 174.14/22.34 fof(f7666,plain,(
% 174.14/22.34 ![X0]: (~X0=c_Groups_Oone__class_Oone(tc_Int_Oint)|~spl0_145)),
% 174.14/22.34 inference(forward_demodulation,[status(thm)],[f3530,f7645])).
% 174.14/22.34 fof(f7667,plain,(
% 174.14/22.34 $false|~spl0_145),
% 174.14/22.34 inference(destructive_equality_resolution,[status(esa)],[f7666])).
% 174.14/22.34 fof(f7668,plain,(
% 174.14/22.34 ~spl0_145),
% 174.14/22.34 inference(contradiction_clause,[status(thm)],[f7667])).
% 174.14/22.34 fof(f7689,plain,(
% 174.14/22.34 spl0_152 <=> c_Groups_Ozero__class_Ozero(tc_Int_Oint)=c_Groups_Oone__class_Oone(tc_Int_Oint)),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f7690,plain,(
% 174.14/22.34 c_Groups_Ozero__class_Ozero(tc_Int_Oint)=c_Groups_Oone__class_Oone(tc_Int_Oint)|~spl0_152),
% 174.14/22.34 inference(component_clause,[status(thm)],[f7689])).
% 174.14/22.34 fof(f7731,plain,(
% 174.14/22.34 spl0_153 <=> c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f7732,plain,(
% 174.14/22.34 c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_153),
% 174.14/22.34 inference(component_clause,[status(thm)],[f7731])).
% 174.14/22.34 fof(f7734,plain,(
% 174.14/22.34 spl0_154 <=> c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))=c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f7737,plain,(
% 174.14/22.34 c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))=c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))|~spl0_76),
% 174.14/22.34 inference(paramodulation,[status(thm)],[f6654,f6652])).
% 174.14/22.34 fof(f7738,plain,(
% 174.14/22.34 spl0_153|spl0_154|~spl0_76),
% 174.14/22.34 inference(split_clause,[status(thm)],[f7737,f7731,f7734,f6653])).
% 174.14/22.34 fof(f7745,plain,(
% 174.14/22.34 ![X0,X1]: (X0=X1|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0))),
% 174.14/22.34 inference(resolution,[status(thm)],[f4644,f1593])).
% 174.14/22.34 fof(f7775,plain,(
% 174.14/22.34 ![X0]: (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),X0)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0)|~spl0_30)),
% 174.14/22.34 inference(resolution,[status(thm)],[f7745,f5775])).
% 174.14/22.34 fof(f7776,plain,(
% 174.14/22.34 ![X0,X1]: (X0=X1|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)|~spl0_61|~spl0_30)),
% 174.14/22.34 inference(resolution,[status(thm)],[f7745,f7316])).
% 174.14/22.34 fof(f7778,plain,(
% 174.14/22.34 ![X0,X1,X2]: (X0=X1|c_Orderings_Oord__class_Oless(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,X2,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)|~spl0_61)),
% 174.14/22.34 inference(resolution,[status(thm)],[f7745,f6765])).
% 174.14/22.34 fof(f7785,plain,(
% 174.14/22.34 ![X0,X1,X2]: (X0=X1|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X2)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1)|X1=X0)),
% 174.14/22.34 inference(resolution,[status(thm)],[f7745,f5156])).
% 174.14/22.34 fof(f7786,plain,(
% 174.14/22.34 ![X0,X1,X2]: (X0=X1|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X2)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1))),
% 174.14/22.34 inference(duplicate_literals_removal,[status(esa)],[f7785])).
% 174.14/22.34 fof(f7791,plain,(
% 174.14/22.34 spl0_155 <=> 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),X0)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f7892,plain,(
% 174.14/22.34 ![X0,X1]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0))),
% 174.14/22.34 inference(resolution,[status(thm)],[f4654,f2754])).
% 174.14/22.34 fof(f7934,plain,(
% 174.14/22.34 ![X0]: (X0=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,X0))=c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)))),
% 174.14/22.34 inference(resolution,[status(thm)],[f4675,f1304])).
% 174.14/22.34 fof(f8045,plain,(
% 174.14/22.34 spl0_168 <=> ~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),c_Groups_Oone__class_Oone(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)))),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f8301,plain,(
% 174.14/22.34 spl0_176 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f8302,plain,(
% 174.14/22.34 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_176),
% 174.14/22.34 inference(component_clause,[status(thm)],[f8301])).
% 174.14/22.34 fof(f8427,plain,(
% 174.14/22.34 spl0_184 <=> 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),X0)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f9947,plain,(
% 174.14/22.34 ![X0,X1,X2]: (X0=X1|c_Orderings_Oord__class_Oless(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,X1,X2)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~spl0_61)),
% 174.14/22.34 inference(resolution,[status(thm)],[f7786,f6254])).
% 174.14/22.34 fof(f9950,plain,(
% 174.14/22.34 ![X0,X1]: (X0=X1|c_Orderings_Oord__class_Oless(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,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~spl0_30)),
% 174.14/22.34 inference(resolution,[status(thm)],[f7786,f5782])).
% 174.14/22.34 fof(f9954,plain,(
% 174.14/22.34 ![X0,X1,X2]: (X0=X1|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X2)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2))),
% 174.14/22.34 inference(resolution,[status(thm)],[f7786,f1866])).
% 174.14/22.34 fof(f9955,plain,(
% 174.14/22.34 ![X0,X1,X2]: (X0=X1|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X2)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X1))),
% 174.14/22.34 inference(resolution,[status(thm)],[f7786,f1857])).
% 174.14/22.34 fof(f9977,plain,(
% 174.14/22.34 ![X0,X1,X2]: (X0=X1|c_Orderings_Oord__class_Oless(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,X2,X0))),
% 174.14/22.34 inference(resolution,[status(thm)],[f9954,f1866])).
% 174.14/22.34 fof(f9986,plain,(
% 174.14/22.34 ![X0,X1,X2]: (X0=X1|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X2)|X1=X2|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2))),
% 174.14/22.34 inference(resolution,[status(thm)],[f9955,f7745])).
% 174.14/22.34 fof(f10017,plain,(
% 174.14/22.34 ![X0,X1]: (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)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0)|~spl0_30)),
% 174.14/22.34 inference(resolution,[status(thm)],[f9977,f5775])).
% 174.14/22.34 fof(f10185,plain,(
% 174.14/22.34 spl0_265 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f10187,plain,(
% 174.14/22.34 ~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))|spl0_265),
% 174.14/22.34 inference(component_clause,[status(thm)],[f10185])).
% 174.14/22.34 fof(f10202,plain,(
% 174.14/22.34 ![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))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~spl0_30)),
% 174.14/22.34 inference(resolution,[status(thm)],[f1875,f5782])).
% 174.14/22.34 fof(f10227,plain,(
% 174.14/22.34 ![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_18)),
% 174.14/22.34 inference(paramodulation,[status(thm)],[f5511,f1875])).
% 174.14/22.34 fof(f10228,plain,(
% 174.14/22.34 spl0_62|spl0_28|~spl0_18),
% 174.14/22.34 inference(split_clause,[status(thm)],[f10227,f6200,f5337,f5200])).
% 174.14/22.34 fof(f10229,plain,(
% 174.14/22.34 spl0_269 <=> 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_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f10232,plain,(
% 174.14/22.34 ![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,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 174.14/22.34 inference(paramodulation,[status(thm)],[f5196,f1875])).
% 174.14/22.34 fof(f10233,plain,(
% 174.14/22.34 ~spl0_36|spl0_269),
% 174.14/22.34 inference(split_clause,[status(thm)],[f10232,f5455,f10229])).
% 174.14/22.34 fof(f10242,plain,(
% 174.14/22.34 ![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)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~spl0_30)),
% 174.14/22.34 inference(resolution,[status(thm)],[f1874,f5782])).
% 174.14/22.34 fof(f10253,plain,(
% 174.14/22.34 spl0_270 <=> ~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)),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f10254,plain,(
% 174.14/22.34 ![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_Ozero__class_Ozero(tc_RealDef_Oreal),X0)|~spl0_270)),
% 174.14/22.34 inference(component_clause,[status(thm)],[f10253])).
% 174.14/22.34 fof(f10256,plain,(
% 174.14/22.34 ![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))),
% 174.14/22.34 inference(paramodulation,[status(thm)],[f5122,f1874])).
% 174.14/22.34 fof(f10257,plain,(
% 174.14/22.34 spl0_270|spl0_28),
% 174.14/22.34 inference(split_clause,[status(thm)],[f10256,f10253,f5337])).
% 174.14/22.34 fof(f10324,plain,(
% 174.14/22.34 ~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
% 174.14/22.34 inference(resolution,[status(thm)],[f5023,f5137])).
% 174.14/22.34 fof(f10327,plain,(
% 174.14/22.34 ![X0]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Groups_Oone__class_Oone(tc_Int_Oint)),X0))),
% 174.14/22.34 inference(resolution,[status(thm)],[f5023,f3689])).
% 174.14/22.34 fof(f10469,plain,(
% 174.14/22.34 ![X0,X1]: (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),X0)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=X1|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~spl0_61|~spl0_30)),
% 174.14/22.34 inference(resolution,[status(thm)],[f9950,f7776])).
% 174.14/22.34 fof(f10470,plain,(
% 174.14/22.34 spl0_155|~spl0_61|~spl0_30),
% 174.14/22.34 inference(split_clause,[status(thm)],[f10469,f7791,f6195,f5358])).
% 174.14/22.34 fof(f10781,plain,(
% 174.14/22.34 ![X0,X1,X2,X3]: (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),X0)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=X2|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X3)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~spl0_61)),
% 174.14/22.34 inference(resolution,[status(thm)],[f9947,f7778])).
% 174.14/22.34 fof(f10782,plain,(
% 174.14/22.34 spl0_184|~spl0_61),
% 174.14/22.34 inference(split_clause,[status(thm)],[f10781,f8427,f6195])).
% 174.14/22.34 fof(f10955,plain,(
% 174.14/22.34 ![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))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~spl0_30|~spl0_18)),
% 174.14/22.34 inference(paramodulation,[status(thm)],[f5511,f10202])).
% 174.14/22.34 fof(f10956,plain,(
% 174.14/22.34 spl0_64|spl0_28|~spl0_30|~spl0_18),
% 174.14/22.34 inference(split_clause,[status(thm)],[f10955,f6244,f5337,f5358,f5200])).
% 174.14/22.34 fof(f11055,plain,(
% 174.14/22.34 spl0_294 <=> 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_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f11056,plain,(
% 174.14/22.34 ![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_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~spl0_294)),
% 174.14/22.34 inference(component_clause,[status(thm)],[f11055])).
% 174.14/22.34 fof(f11058,plain,(
% 174.14/22.34 ![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)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~spl0_30)),
% 174.14/22.34 inference(paramodulation,[status(thm)],[f5122,f10242])).
% 174.14/22.34 fof(f11059,plain,(
% 174.14/22.34 spl0_28|spl0_294|~spl0_30),
% 174.14/22.34 inference(split_clause,[status(thm)],[f11058,f5337,f11055,f5358])).
% 174.14/22.34 fof(f11524,plain,(
% 174.14/22.34 ![X0]: (~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)),X0))),
% 174.14/22.34 inference(resolution,[status(thm)],[f10327,f3694])).
% 174.14/22.34 fof(f11525,plain,(
% 174.14/22.34 ![X0]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)),X0))),
% 174.14/22.34 inference(resolution,[status(thm)],[f10327,f3689])).
% 174.14/22.34 fof(f11529,plain,(
% 174.14/22.34 ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
% 174.14/22.34 inference(resolution,[status(thm)],[f10324,f3694])).
% 174.14/22.34 fof(f11530,plain,(
% 174.14/22.34 ~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
% 174.14/22.34 inference(resolution,[status(thm)],[f10324,f3689])).
% 174.14/22.34 fof(f11536,plain,(
% 174.14/22.34 spl0_340 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(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))),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f11537,plain,(
% 174.14/22.34 c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(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))|~spl0_340),
% 174.14/22.34 inference(component_clause,[status(thm)],[f11536])).
% 174.14/22.34 fof(f11539,plain,(
% 174.14/22.34 c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(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_Oplus__class_Oplus(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)),
% 174.14/22.34 inference(resolution,[status(thm)],[f10324,f3644])).
% 174.14/22.34 fof(f11540,plain,(
% 174.14/22.34 spl0_340|spl0_148),
% 174.14/22.34 inference(split_clause,[status(thm)],[f11539,f11536,f7658])).
% 174.14/22.34 fof(f11546,plain,(
% 174.14/22.34 spl0_341 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f11549,plain,(
% 174.14/22.34 ~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(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_Ozero__class_Ozero(tc_Int_Oint)),
% 174.14/22.34 inference(resolution,[status(thm)],[f11530,f3688])).
% 174.14/22.34 fof(f11550,plain,(
% 174.14/22.34 ~spl0_341|spl0_152),
% 174.14/22.34 inference(split_clause,[status(thm)],[f11549,f11546,f7689])).
% 174.14/22.34 fof(f11554,plain,(
% 174.14/22.34 $false|~spl0_152),
% 174.14/22.34 inference(forward_subsumption_resolution,[status(thm)],[f7690,f3646])).
% 174.14/22.34 fof(f11555,plain,(
% 174.14/22.34 ~spl0_152),
% 174.14/22.34 inference(contradiction_clause,[status(thm)],[f11554])).
% 174.14/22.34 fof(f11559,plain,(
% 174.14/22.34 ![X0]: (c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Oone__class_Oone(tc_Int_Oint))|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))|~spl0_148)),
% 174.14/22.34 inference(paramodulation,[status(thm)],[f7659,f3694])).
% 174.14/22.34 fof(f11564,plain,(
% 174.14/22.34 spl0_342 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f11566,plain,(
% 174.14/22.34 ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))|spl0_342),
% 174.14/22.34 inference(component_clause,[status(thm)],[f11564])).
% 174.14/22.34 fof(f11567,plain,(
% 174.14/22.34 spl0_343 <=> ~hAPP(hAPP(c_Groups_Otimes__class_Otimes(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)),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f11570,plain,(
% 174.14/22.34 ![X0]: (~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))|~hAPP(hAPP(c_Groups_Otimes__class_Otimes(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)|~spl0_148)),
% 174.14/22.34 inference(resolution,[status(thm)],[f11559,f3541])).
% 174.14/22.34 fof(f11571,plain,(
% 174.14/22.34 ~spl0_342|spl0_343|~spl0_148),
% 174.14/22.34 inference(split_clause,[status(thm)],[f11570,f11564,f11567,f7658])).
% 174.14/22.34 fof(f11575,plain,(
% 174.14/22.34 $false|spl0_342),
% 174.14/22.34 inference(forward_subsumption_resolution,[status(thm)],[f11566,f3673])).
% 174.14/22.34 fof(f11576,plain,(
% 174.14/22.34 spl0_342),
% 174.14/22.34 inference(contradiction_clause,[status(thm)],[f11575])).
% 174.14/22.34 fof(f11586,plain,(
% 174.14/22.34 spl0_344 <=> X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~X0=c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f11589,plain,(
% 174.14/22.34 ![X0]: (X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~X0=c_Rings_Oinverse__class_Odivide(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))),
% 174.14/22.34 inference(paramodulation,[status(thm)],[f2172,f7577])).
% 174.14/22.34 fof(f11590,plain,(
% 174.14/22.34 spl0_344|spl0_17),
% 174.14/22.34 inference(split_clause,[status(thm)],[f11589,f11586,f5197])).
% 174.14/22.34 fof(f11591,plain,(
% 174.14/22.34 spl0_345 <=> X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~X0=c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f11592,plain,(
% 174.14/22.34 ![X0]: (X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~X0=c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~spl0_345)),
% 174.14/22.34 inference(component_clause,[status(thm)],[f11591])).
% 174.14/22.34 fof(f11603,plain,(
% 174.14/22.34 spl0_347 <=> X0=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f11604,plain,(
% 174.14/22.34 ![X0]: (X0=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~spl0_347)),
% 174.14/22.34 inference(component_clause,[status(thm)],[f11603])).
% 174.14/22.34 fof(f11613,plain,(
% 174.14/22.34 spl0_349 <=> ~X0=X0|X0=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f11614,plain,(
% 174.14/22.34 ![X0]: (~X0=X0|X0=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~spl0_349)),
% 174.14/22.34 inference(component_clause,[status(thm)],[f11613])).
% 174.14/22.34 fof(f11663,plain,(
% 174.14/22.34 ![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))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~spl0_19)),
% 174.14/22.34 inference(forward_demodulation,[status(thm)],[f6676,f5215])).
% 174.14/22.34 fof(f11664,plain,(
% 174.14/22.34 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~spl0_19)),
% 174.14/22.34 inference(forward_subsumption_resolution,[status(thm)],[f11663,f4955])).
% 174.14/22.34 fof(f11674,plain,(
% 174.14/22.34 $false|~spl0_176),
% 174.14/22.34 inference(forward_subsumption_resolution,[status(thm)],[f8302,f4954])).
% 174.14/22.34 fof(f11675,plain,(
% 174.14/22.34 ~spl0_176),
% 174.14/22.34 inference(contradiction_clause,[status(thm)],[f11674])).
% 174.14/22.34 fof(f11701,plain,(
% 174.14/22.34 $false|~spl0_19|~spl0_30),
% 174.14/22.34 inference(backward_subsumption_resolution,[status(thm)],[f5369,f11664])).
% 174.14/22.34 fof(f11702,plain,(
% 174.14/22.34 ~spl0_19|~spl0_30),
% 174.14/22.34 inference(contradiction_clause,[status(thm)],[f11701])).
% 174.14/22.34 fof(f11928,plain,(
% 174.14/22.34 spl0_358 <=> ~c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|X1=X0),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f11929,plain,(
% 174.14/22.34 ![X0,X1]: (~c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|X1=X0|~spl0_358)),
% 174.14/22.34 inference(component_clause,[status(thm)],[f11928])).
% 174.14/22.34 fof(f11953,plain,(
% 174.14/22.34 ![X0,X1]: (~c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|X0=X1|~spl0_358)),
% 174.14/22.34 inference(forward_demodulation,[status(thm)],[f7412,f11929])).
% 174.14/22.34 fof(f11954,plain,(
% 174.14/22.34 ![X0,X1]: (X0=X1|~spl0_358)),
% 174.14/22.34 inference(trivial_equality_resolution,[status(esa)],[f11953])).
% 174.14/22.34 fof(f11959,plain,(
% 174.14/22.34 spl0_359 <=> ~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)),X0)|X1=X0),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f11960,plain,(
% 174.14/22.34 ![X0,X1]: (~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)),X0)|X1=X0|~spl0_359)),
% 174.14/22.34 inference(component_clause,[status(thm)],[f11959])).
% 174.14/22.34 fof(f11990,plain,(
% 174.14/22.34 ![X0,X1]: (~c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|X0=X1|~spl0_359)),
% 174.14/22.34 inference(forward_demodulation,[status(thm)],[f7411,f11960])).
% 174.14/22.34 fof(f11991,plain,(
% 174.14/22.34 ![X0,X1]: (X0=X1|~spl0_359)),
% 174.14/22.34 inference(trivial_equality_resolution,[status(esa)],[f11990])).
% 174.14/22.34 fof(f12048,plain,(
% 174.14/22.34 $false|~spl0_130),
% 174.14/22.34 inference(forward_subsumption_resolution,[status(thm)],[f7420,f4954])).
% 174.14/22.34 fof(f12049,plain,(
% 174.14/22.34 ~spl0_130),
% 174.14/22.34 inference(contradiction_clause,[status(thm)],[f12048])).
% 174.14/22.34 fof(f12121,plain,(
% 174.14/22.34 ~c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)=c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)),
% 174.14/22.34 inference(resolution,[status(thm)],[f1606,f4697])).
% 174.14/22.34 fof(f12364,plain,(
% 174.14/22.34 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~spl0_57),
% 174.14/22.34 inference(resolution,[status(thm)],[f6113,f4955])).
% 174.14/22.34 fof(f12365,plain,(
% 174.14/22.34 $false|~spl0_57),
% 174.14/22.34 inference(forward_subsumption_resolution,[status(thm)],[f12364,f4955])).
% 174.14/22.34 fof(f12366,plain,(
% 174.14/22.34 ~spl0_57),
% 174.14/22.34 inference(contradiction_clause,[status(thm)],[f12365])).
% 174.14/22.34 fof(f12798,plain,(
% 174.14/22.34 spl0_390 <=> ~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X0)),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f12799,plain,(
% 174.14/22.34 ![X0]: (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X0)|~spl0_390)),
% 174.14/22.34 inference(component_clause,[status(thm)],[f12798])).
% 174.14/22.34 fof(f12850,plain,(
% 174.14/22.34 ![X0,X1,X2]: (X0=X1|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)|X1=X2|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2))),
% 174.14/22.34 inference(resolution,[status(thm)],[f9986,f1857])).
% 174.14/22.34 fof(f12992,plain,(
% 174.14/22.34 ![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_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~spl0_270)),
% 174.14/22.34 inference(resolution,[status(thm)],[f10254,f1866])).
% 174.14/22.34 fof(f13083,plain,(
% 174.14/22.34 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,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~spl0_270|~spl0_18),
% 174.14/22.34 inference(paramodulation,[status(thm)],[f5201,f12992])).
% 174.14/22.34 fof(f13084,plain,(
% 174.14/22.34 spl0_36|spl0_28|~spl0_270|~spl0_18),
% 174.14/22.34 inference(split_clause,[status(thm)],[f13083,f5455,f5337,f10253,f5200])).
% 174.14/22.34 fof(f13524,plain,(
% 174.14/22.34 ![X0,X1,X2]: (X0=X1|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)|X1=X2|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)|X2=X0|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X0))),
% 174.14/22.34 inference(resolution,[status(thm)],[f12850,f7745])).
% 174.14/22.34 fof(f13533,plain,(
% 174.14/22.34 spl0_418 <=> X0=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(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),X0)),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f13536,plain,(
% 174.14/22.34 ![X0]: (X0=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,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_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=X0|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)|~spl0_30)),
% 174.14/22.34 inference(resolution,[status(thm)],[f13524,f5372])).
% 174.14/22.34 fof(f13537,plain,(
% 174.14/22.34 spl0_418|spl0_17|~spl0_30),
% 174.14/22.34 inference(split_clause,[status(thm)],[f13536,f13533,f5197,f5358])).
% 174.14/22.34 fof(f13911,plain,(
% 174.14/22.34 ![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),c_Groups_Oone__class_Oone(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)))|c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|~spl0_30)),
% 174.14/22.34 inference(resolution,[status(thm)],[f5211,f5371])).
% 174.14/22.34 fof(f13912,plain,(
% 174.14/22.34 spl0_168|spl0_17|~spl0_30),
% 174.14/22.34 inference(split_clause,[status(thm)],[f13911,f8045,f5197,f5358])).
% 174.14/22.34 fof(f13959,plain,(
% 174.14/22.34 c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))|~spl0_340),
% 174.14/22.34 inference(backward_demodulation,[status(thm)],[f3648,f11537])).
% 174.14/22.34 fof(f13960,plain,(
% 174.14/22.34 $false|~spl0_340),
% 174.14/22.34 inference(forward_subsumption_resolution,[status(thm)],[f13959,f5023])).
% 174.14/22.34 fof(f13961,plain,(
% 174.14/22.34 ~spl0_340),
% 174.14/22.34 inference(contradiction_clause,[status(thm)],[f13960])).
% 174.14/22.34 fof(f13962,plain,(
% 174.14/22.34 ~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
% 174.14/22.34 inference(paramodulation,[status(thm)],[f3648,f11525])).
% 174.14/22.34 fof(f13966,plain,(
% 174.14/22.34 ![X0]: (c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Oone__class_Oone(tc_Int_Oint))|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),
% 174.14/22.34 inference(paramodulation,[status(thm)],[f3648,f3694])).
% 174.14/22.34 fof(f13971,plain,(
% 174.14/22.34 spl0_430 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(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))),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f13972,plain,(
% 174.14/22.34 c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(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))|~spl0_430),
% 174.14/22.34 inference(component_clause,[status(thm)],[f13971])).
% 174.14/22.34 fof(f13974,plain,(
% 174.14/22.34 spl0_431 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
% 174.14/22.34 introduced(split_symbol_definition)).
% 174.14/22.34 fof(f14019,plain,(
% 174.14/22.34 ![X0]: (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0))=X0)),
% 174.14/22.34 inference(resolution,[status(thm)],[f1604,f4616])).
% 174.14/22.34 fof(f14039,plain,(
% 174.14/22.34 ![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,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~spl0_270)),
% 174.14/22.34 inference(paramodulation,[status(thm)],[f14019,f12992])).
% 174.14/22.34 fof(f14056,plain,(
% 174.14/22.34 ![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,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~spl0_294)),
% 174.14/22.34 inference(paramodulation,[status(thm)],[f14019,f11056])).
% 174.14/22.34 fof(f14060,plain,(
% 174.14/22.34 ![X0,X1]: (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1))=c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X0))),
% 174.14/22.34 inference(paramodulation,[status(thm)],[f14019,f5158])).
% 174.14/22.34 fof(f14062,plain,(
% 174.14/22.34 ![X0,X1]: (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0))),
% 174.14/22.34 inference(paramodulation,[status(thm)],[f14019,f5126])).
% 174.14/22.34 fof(f14068,plain,(
% 174.14/22.34 ![X0,X1]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=X1|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)|X1=c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0))|~spl0_270)),
% 174.14/22.34 inference(resolution,[status(thm)],[f14039,f9986])).
% 174.14/22.34 fof(f14219,plain,(
% 174.14/22.34 ![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_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0),c_Groups_Ozero__class_Ozero(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_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~spl0_294)),
% 174.14/22.34 inference(resolution,[status(thm)],[f14056,f5140])).
% 174.14/22.34 fof(f14220,plain,(
% 174.14/22.34 ![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_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)|~spl0_294)),
% 174.14/22.34 inference(duplicate_literals_removal,[status(esa)],[f14219])).
% 174.14/22.34 fof(f14677,plain,(
% 174.14/22.34 ![X0]: (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))=X0)),
% 174.14/22.34 inference(resolution,[status(thm)],[f2300,f4700])).
% 174.14/22.34 fof(f14753,plain,(
% 174.14/22.34 ![X0,X1]: (X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|X1=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X0)),X0))),
% 174.14/22.34 inference(resolution,[status(thm)],[f4932,f4648])).
% 174.14/22.34 fof(f14754,plain,(
% 174.14/22.34 ![X0,X1]: (X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|X1=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X0)))),
% 174.14/22.34 inference(forward_demodulation,[status(thm)],[f2090,f14753])).
% 174.14/22.34 fof(f15786,plain,(
% 174.14/22.34 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0),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_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0))|~spl0_294)),
% 174.14/22.34 inference(paramodulation,[status(thm)],[f14019,f14220])).
% 174.14/22.34 fof(f15787,plain,(
% 174.14/22.34 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0),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_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=X0|~spl0_294)),
% 174.14/22.34 inference(forward_demodulation,[status(thm)],[f14019,f15786])).
% 174.14/22.34 fof(f15824,plain,(
% 174.14/22.34 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=X0|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~spl0_294)),
% 174.14/22.34 inference(resolution,[status(thm)],[f15787,f1857])).
% 174.14/22.34 fof(f15891,plain,(
% 174.14/22.34 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,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)=X0|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)|~spl0_294)),
% 174.14/22.34 inference(resolution,[status(thm)],[f15824,f7745])).
% 174.14/22.34 fof(f15892,plain,(
% 174.14/22.34 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0),c_Groups_Oone__class_Oone(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),X0)|~spl0_294)),
% 174.14/22.34 inference(duplicate_literals_removal,[status(esa)],[f15891])).
% 174.14/22.34 fof(f15990,plain,(
% 174.14/22.34 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,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_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0))|~spl0_294)),
% 174.14/22.34 inference(paramodulation,[status(thm)],[f14019,f15892])).
% 174.14/22.34 fof(f16220,plain,(
% 174.14/22.34 $false|spl0_29),
% 174.14/22.34 inference(forward_subsumption_resolution,[status(thm)],[f5344,f4955])).
% 174.14/22.34 fof(f16221,plain,(
% 174.14/22.34 spl0_29),
% 174.14/22.34 inference(contradiction_clause,[status(thm)],[f16220])).
% 174.14/22.34 fof(f16283,plain,(
% 174.14/22.34 ![X0,X1,X2]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,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_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)|~spl0_294)),
% 174.14/22.34 inference(resolution,[status(thm)],[f15990,f2176])).
% 174.14/22.34 fof(f16284,plain,(
% 174.14/22.34 ![X0,X1,X2]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,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_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)|~spl0_294)),
% 174.14/22.34 inference(forward_demodulation,[status(thm)],[f1851,f16283])).
% 174.14/22.34 fof(f16285,plain,(
% 174.14/22.34 ![X0,X1,X2]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,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_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,X0))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)|~spl0_294)),
% 174.14/22.34 inference(forward_demodulation,[status(thm)],[f1851,f16284])).
% 174.14/22.34 fof(f16376,plain,(
% 174.14/22.34 ![X0,X1,X2]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,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_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,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0),X2))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X2))|~spl0_294)),
% 174.14/22.34 inference(paramodulation,[status(thm)],[f5158,f16285])).
% 174.14/22.34 fof(f16467,plain,(
% 174.14/22.34 ![X0,X1]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,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_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X0),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0))))|~spl0_294)),
% 174.14/22.34 inference(paramodulation,[status(thm)],[f6565,f16376])).
% 174.14/22.34 fof(f16468,plain,(
% 174.14/22.34 ![X0,X1]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,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_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X0),X0)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0))))|~spl0_294)),
% 174.14/22.34 inference(forward_demodulation,[status(thm)],[f14019,f16467])).
% 174.14/22.34 fof(f16469,plain,(
% 174.14/22.34 ![X0,X1]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,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_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X0),X0)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0),X0)))|~spl0_294)),
% 174.28/22.34 inference(forward_demodulation,[status(thm)],[f5126,f16468])).
% 174.28/22.34 fof(f17236,plain,(
% 174.28/22.34 spl0_667 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),
% 174.28/22.34 introduced(split_symbol_definition)).
% 174.28/22.34 fof(f17237,plain,(
% 174.28/22.34 c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))|~spl0_667),
% 174.28/22.34 inference(component_clause,[status(thm)],[f17236])).
% 174.28/22.34 fof(f17239,plain,(
% 174.28/22.34 spl0_668 <=> ~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)|~X0=c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)),
% 174.28/22.34 introduced(split_symbol_definition)).
% 174.28/22.34 fof(f17242,plain,(
% 174.28/22.34 ![X0,X1]: (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)|~X0=c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0))),
% 174.28/22.34 inference(resolution,[status(thm)],[f13966,f3524])).
% 174.28/22.34 fof(f17243,plain,(
% 174.28/22.34 spl0_667|spl0_668),
% 174.28/22.34 inference(split_clause,[status(thm)],[f17242,f17236,f17239])).
% 174.28/22.34 fof(f17244,plain,(
% 174.28/22.34 c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
% 174.28/22.34 inference(resolution,[status(thm)],[f13966,f3698])).
% 174.28/22.34 fof(f17245,plain,(
% 174.28/22.34 spl0_667|~spl0_431),
% 174.28/22.34 inference(split_clause,[status(thm)],[f17244,f17236,f13974])).
% 174.28/22.34 fof(f17248,plain,(
% 174.28/22.34 $false|~spl0_667),
% 174.28/22.34 inference(forward_subsumption_resolution,[status(thm)],[f17237,f5023])).
% 174.28/22.34 fof(f17249,plain,(
% 174.28/22.34 ~spl0_667),
% 174.28/22.34 inference(contradiction_clause,[status(thm)],[f17248])).
% 174.28/22.34 fof(f17385,plain,(
% 174.28/22.34 spl0_677 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
% 174.28/22.34 introduced(split_symbol_definition)).
% 174.28/22.34 fof(f17388,plain,(
% 174.28/22.34 spl0_678 <=> c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))=c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
% 174.28/22.34 introduced(split_symbol_definition)).
% 174.28/22.34 fof(f17389,plain,(
% 174.28/22.34 c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|~spl0_678),
% 174.28/22.34 inference(component_clause,[status(thm)],[f17388])).
% 174.28/22.34 fof(f17391,plain,(
% 174.28/22.34 ~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))|c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))=c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
% 174.28/22.34 inference(resolution,[status(thm)],[f13962,f3688])).
% 174.28/22.34 fof(f17392,plain,(
% 174.28/22.34 ~spl0_677|spl0_678),
% 174.28/22.34 inference(split_clause,[status(thm)],[f17391,f17385,f17388])).
% 174.28/22.34 fof(f17393,plain,(
% 174.28/22.35 spl0_679 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f17394,plain,(
% 174.28/22.35 c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))|~spl0_679),
% 174.28/22.35 inference(component_clause,[status(thm)],[f17393])).
% 174.28/22.35 fof(f17396,plain,(
% 174.28/22.35 c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))|c_Groups_Ozero__class_Ozero(tc_Int_Oint)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),
% 174.28/22.35 inference(resolution,[status(thm)],[f13962,f3644])).
% 174.28/22.35 fof(f17397,plain,(
% 174.28/22.35 spl0_679|spl0_678),
% 174.28/22.35 inference(split_clause,[status(thm)],[f17396,f17393,f17388])).
% 174.28/22.35 fof(f17402,plain,(
% 174.28/22.35 spl0_680 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(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))),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f17403,plain,(
% 174.28/22.35 c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(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))|~spl0_680),
% 174.28/22.35 inference(component_clause,[status(thm)],[f17402])).
% 174.28/22.35 fof(f17405,plain,(
% 174.28/22.35 spl0_681 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f17406,plain,(
% 174.28/22.35 c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))|~spl0_681),
% 174.28/22.35 inference(component_clause,[status(thm)],[f17405])).
% 174.28/22.35 fof(f17407,plain,(
% 174.28/22.35 ~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))|spl0_681),
% 174.28/22.35 inference(component_clause,[status(thm)],[f17405])).
% 174.28/22.35 fof(f17410,plain,(
% 174.28/22.35 spl0_682 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f17412,plain,(
% 174.28/22.35 ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))|spl0_682),
% 174.28/22.35 inference(component_clause,[status(thm)],[f17410])).
% 174.28/22.35 fof(f17419,plain,(
% 174.28/22.35 ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(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))|~spl0_678),
% 174.28/22.35 inference(paramodulation,[status(thm)],[f17389,f11524])).
% 174.28/22.35 fof(f17420,plain,(
% 174.28/22.35 ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))|~spl0_678),
% 174.28/22.35 inference(forward_demodulation,[status(thm)],[f3648,f17419])).
% 174.28/22.35 fof(f17421,plain,(
% 174.28/22.35 $false|~spl0_678),
% 174.28/22.35 inference(forward_subsumption_resolution,[status(thm)],[f17420,f3673])).
% 174.28/22.35 fof(f17422,plain,(
% 174.28/22.35 ~spl0_678),
% 174.28/22.35 inference(contradiction_clause,[status(thm)],[f17421])).
% 174.28/22.35 fof(f17513,plain,(
% 174.28/22.35 ![X0]: (c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X0)|c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 174.28/22.35 inference(paramodulation,[status(thm)],[f5196,f14060])).
% 174.28/22.35 fof(f17588,plain,(
% 174.28/22.35 c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Oone__class_Oone(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_18),
% 174.28/22.35 inference(paramodulation,[status(thm)],[f5511,f17513])).
% 174.28/22.35 fof(f17589,plain,(
% 174.28/22.35 spl0_25|spl0_41|~spl0_18),
% 174.28/22.35 inference(split_clause,[status(thm)],[f17588,f5317,f5605,f5200])).
% 174.28/22.35 fof(f17627,plain,(
% 174.28/22.35 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,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_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0),X0)))|c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_294)),
% 174.28/22.35 inference(paramodulation,[status(thm)],[f17513,f16469])).
% 174.28/22.35 fof(f17628,plain,(
% 174.28/22.35 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,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_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0),X0)))|~spl0_294)),
% 174.28/22.35 inference(duplicate_literals_removal,[status(esa)],[f17627])).
% 174.28/22.35 fof(f17629,plain,(
% 174.28/22.35 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,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_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0),X0)))|~spl0_294)),
% 174.28/22.35 inference(forward_subsumption_resolution,[status(thm)],[f17628,f7892])).
% 174.28/22.35 fof(f17641,plain,(
% 174.28/22.35 spl0_684 <=> 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_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f17644,plain,(
% 174.28/22.35 ![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,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,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))),
% 174.28/22.35 inference(paramodulation,[status(thm)],[f17513,f1875])).
% 174.28/22.35 fof(f17645,plain,(
% 174.28/22.35 ~spl0_36|spl0_684),
% 174.28/22.35 inference(split_clause,[status(thm)],[f17644,f5455,f17641])).
% 174.28/22.35 fof(f17808,plain,(
% 174.28/22.35 spl0_711 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f17809,plain,(
% 174.28/22.35 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))|~spl0_711),
% 174.28/22.35 inference(component_clause,[status(thm)],[f17808])).
% 174.28/22.35 fof(f17928,plain,(
% 174.28/22.35 spl0_715 <=> ~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),X0)=c_Groups_Oone__class_Oone(tc_Int_Oint)),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f17931,plain,(
% 174.28/22.35 spl0_716 <=> c_Groups_Oplus__class_Oplus(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)),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f17932,plain,(
% 174.28/22.35 c_Groups_Oplus__class_Oplus(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)|~spl0_716),
% 174.28/22.35 inference(component_clause,[status(thm)],[f17931])).
% 174.28/22.35 fof(f17934,plain,(
% 174.28/22.35 ![X0]: (~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),X0)=c_Groups_Oone__class_Oone(tc_Int_Oint)|c_Groups_Oplus__class_Oplus(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)|~spl0_679)),
% 174.28/22.35 inference(resolution,[status(thm)],[f17394,f3540])).
% 174.28/22.35 fof(f17935,plain,(
% 174.28/22.35 spl0_715|spl0_716|~spl0_679),
% 174.28/22.35 inference(split_clause,[status(thm)],[f17934,f17928,f17931,f17393])).
% 174.28/22.35 fof(f17942,plain,(
% 174.28/22.35 ![X0,X1]: (X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|X1=c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1),X0))),
% 174.28/22.35 inference(resolution,[status(thm)],[f14754,f2163])).
% 174.28/22.35 fof(f17943,plain,(
% 174.28/22.35 ![X0,X1]: (X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|X1=c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1),X0))),
% 174.28/22.35 inference(duplicate_literals_removal,[status(esa)],[f17942])).
% 174.28/22.35 fof(f17953,plain,(
% 174.28/22.35 spl0_717 <=> X0=c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f17956,plain,(
% 174.28/22.35 ![X0]: (c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|X0=c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
% 174.28/22.35 inference(paramodulation,[status(thm)],[f2171,f14754])).
% 174.28/22.35 fof(f17957,plain,(
% 174.28/22.35 spl0_17|spl0_717),
% 174.28/22.35 inference(split_clause,[status(thm)],[f17956,f5197,f17953])).
% 174.28/22.35 fof(f17958,plain,(
% 174.28/22.35 spl0_718 <=> X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f17959,plain,(
% 174.28/22.35 ![X0]: (X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_718)),
% 174.28/22.35 inference(component_clause,[status(thm)],[f17958])).
% 174.28/22.35 fof(f18027,plain,(
% 174.28/22.35 ![X0,X1]: (X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1)=c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1),X0))),
% 174.28/22.35 inference(paramodulation,[status(thm)],[f1851,f17943])).
% 174.28/22.35 fof(f18046,plain,(
% 174.28/22.35 spl0_721 <=> c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1)=c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1)),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f18049,plain,(
% 174.28/22.35 ![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)|X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 174.28/22.35 inference(paramodulation,[status(thm)],[f18027,f18027])).
% 174.28/22.35 fof(f18050,plain,(
% 174.28/22.35 spl0_718|spl0_721),
% 174.28/22.35 inference(split_clause,[status(thm)],[f18049,f17958,f18046])).
% 174.28/22.35 fof(f18051,plain,(
% 174.28/22.35 ![X0,X1]: (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0),X1)))),
% 174.28/22.35 inference(paramodulation,[status(thm)],[f14062,f18027])).
% 174.28/22.35 fof(f18052,plain,(
% 174.28/22.35 spl0_722 <=> c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f18053,plain,(
% 174.28/22.35 ![X0]: (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_722)),
% 174.28/22.35 inference(component_clause,[status(thm)],[f18052])).
% 174.28/22.35 fof(f18055,plain,(
% 174.28/22.35 ![X0]: (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=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))),
% 174.28/22.35 inference(paramodulation,[status(thm)],[f6676,f18027])).
% 174.28/22.35 fof(f18056,plain,(
% 174.28/22.35 spl0_21|spl0_722),
% 174.28/22.35 inference(split_clause,[status(thm)],[f18055,f5220,f18052])).
% 174.28/22.35 fof(f18057,plain,(
% 174.28/22.35 spl0_723 <=> 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)),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f18060,plain,(
% 174.28/22.35 ![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)|~spl0_18)),
% 174.28/22.35 inference(paramodulation,[status(thm)],[f5511,f18027])).
% 174.28/22.35 fof(f18061,plain,(
% 174.28/22.35 spl0_17|spl0_723|~spl0_18),
% 174.28/22.35 inference(split_clause,[status(thm)],[f18060,f5197,f18057,f5200])).
% 174.28/22.35 fof(f18072,plain,(
% 174.28/22.35 ![X0,X1]: (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1)=c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1),X0),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)))),
% 174.28/22.35 inference(paramodulation,[status(thm)],[f5158,f18027])).
% 174.28/22.35 fof(f18073,plain,(
% 174.28/22.35 ![X0,X1]: (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1),X0)))),
% 174.28/22.35 inference(forward_demodulation,[status(thm)],[f14062,f18072])).
% 174.28/22.35 fof(f18076,plain,(
% 174.28/22.35 spl0_725 <=> c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)=c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f18106,plain,(
% 174.28/22.35 ![X0]: (X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_718)),
% 174.28/22.35 inference(duplicate_literals_removal,[status(esa)],[f17959])).
% 174.28/22.35 fof(f18112,plain,(
% 174.28/22.35 ![X0]: (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=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))),
% 174.28/22.35 inference(paramodulation,[status(thm)],[f7411,f18051])).
% 174.28/22.35 fof(f18113,plain,(
% 174.28/22.35 spl0_39|spl0_722),
% 174.28/22.35 inference(split_clause,[status(thm)],[f18112,f5597,f18052])).
% 174.28/22.35 fof(f18118,plain,(
% 174.28/22.35 spl0_726 <=> c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)=c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0)),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f18121,plain,(
% 174.28/22.35 ![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,X0)=c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0))),
% 174.28/22.35 inference(paramodulation,[status(thm)],[f2171,f18051])).
% 174.28/22.35 fof(f18122,plain,(
% 174.28/22.35 spl0_41|spl0_726),
% 174.28/22.35 inference(split_clause,[status(thm)],[f18121,f5605,f18118])).
% 174.28/22.35 fof(f18123,plain,(
% 174.28/22.35 spl0_727 <=> c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)=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)),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f18124,plain,(
% 174.28/22.35 ![X0]: (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)=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_727)),
% 174.28/22.35 inference(component_clause,[status(thm)],[f18123])).
% 174.28/22.35 fof(f18155,plain,(
% 174.28/22.35 spl0_729 <=> 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)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0))),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f18158,plain,(
% 174.28/22.35 ![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,X0)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0))|~spl0_18)),
% 174.28/22.35 inference(paramodulation,[status(thm)],[f5201,f18051])).
% 174.28/22.35 fof(f18159,plain,(
% 174.28/22.35 spl0_41|spl0_729|~spl0_18),
% 174.28/22.35 inference(split_clause,[status(thm)],[f18158,f5605,f18155,f5200])).
% 174.28/22.35 fof(f18192,plain,(
% 174.28/22.35 ![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,X0)=c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
% 174.28/22.35 inference(paramodulation,[status(thm)],[f2171,f18073])).
% 174.28/22.35 fof(f18193,plain,(
% 174.28/22.35 spl0_41|spl0_725),
% 174.28/22.35 inference(split_clause,[status(thm)],[f18192,f5605,f18076])).
% 174.28/22.35 fof(f18219,plain,(
% 174.28/22.35 spl0_731 <=> 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)),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0))),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f18222,plain,(
% 174.28/22.35 ![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,X0)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0))|~spl0_18)),
% 174.28/22.35 inference(paramodulation,[status(thm)],[f5511,f18073])).
% 174.28/22.35 fof(f18223,plain,(
% 174.28/22.35 spl0_41|spl0_731|~spl0_18),
% 174.28/22.35 inference(split_clause,[status(thm)],[f18222,f5605,f18219,f5200])).
% 174.28/22.35 fof(f18355,plain,(
% 174.28/22.35 ![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,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_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
% 174.28/22.35 inference(resolution,[status(thm)],[f5243,f4955])).
% 174.28/22.35 fof(f18356,plain,(
% 174.28/22.35 spl0_23|spl0_19),
% 174.28/22.35 inference(split_clause,[status(thm)],[f18355,f5246,f5214])).
% 174.28/22.35 fof(f18423,plain,(
% 174.28/22.35 spl0_737 <=> sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))=sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f18425,plain,(
% 174.28/22.35 ~sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))=sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))|spl0_737),
% 174.28/22.35 inference(component_clause,[status(thm)],[f18423])).
% 174.28/22.35 fof(f18426,plain,(
% 174.28/22.35 spl0_738 <=> hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))=hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f18429,plain,(
% 174.28/22.35 ~sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))=sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))|hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))=hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
% 174.28/22.35 inference(paramodulation,[status(thm)],[f2927,f5273])).
% 174.28/22.35 fof(f18430,plain,(
% 174.28/22.35 ~spl0_737|spl0_738),
% 174.28/22.35 inference(split_clause,[status(thm)],[f18429,f18423,f18426])).
% 174.28/22.35 fof(f18431,plain,(
% 174.28/22.35 spl0_739 <=> sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))=sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f18433,plain,(
% 174.28/22.35 ~sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))=sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))|spl0_739),
% 174.28/22.35 inference(component_clause,[status(thm)],[f18431])).
% 174.28/22.35 fof(f18434,plain,(
% 174.28/22.35 spl0_740 <=> hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))=hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f18437,plain,(
% 174.28/22.35 ~sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))=sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))|hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))=hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),
% 174.28/22.35 inference(paramodulation,[status(thm)],[f3530,f5273])).
% 174.28/22.35 fof(f18438,plain,(
% 174.28/22.35 ~spl0_739|spl0_740),
% 174.28/22.35 inference(split_clause,[status(thm)],[f18437,f18431,f18434])).
% 174.28/22.35 fof(f18449,plain,(
% 174.28/22.35 spl0_743 <=> sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))=sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f18451,plain,(
% 174.28/22.35 ~sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))=sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))|spl0_743),
% 174.28/22.35 inference(component_clause,[status(thm)],[f18449])).
% 174.28/22.35 fof(f18452,plain,(
% 174.28/22.35 spl0_744 <=> hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))=hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f18455,plain,(
% 174.28/22.35 ~sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))=sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))|hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))=hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 174.28/22.35 inference(paramodulation,[status(thm)],[f2171,f5273])).
% 174.28/22.35 fof(f18456,plain,(
% 174.28/22.35 ~spl0_743|spl0_744),
% 174.28/22.35 inference(split_clause,[status(thm)],[f18455,f18449,f18452])).
% 174.28/22.35 fof(f18457,plain,(
% 174.28/22.35 $false|spl0_743),
% 174.28/22.35 inference(trivial_equality_resolution,[status(esa)],[f18451])).
% 174.28/22.35 fof(f18458,plain,(
% 174.28/22.35 spl0_743),
% 174.28/22.35 inference(contradiction_clause,[status(thm)],[f18457])).
% 174.28/22.35 fof(f18459,plain,(
% 174.28/22.35 $false|spl0_739),
% 174.28/22.35 inference(trivial_equality_resolution,[status(esa)],[f18433])).
% 174.28/22.35 fof(f18460,plain,(
% 174.28/22.35 spl0_739),
% 174.28/22.35 inference(contradiction_clause,[status(thm)],[f18459])).
% 174.28/22.35 fof(f18461,plain,(
% 174.28/22.35 $false|spl0_737),
% 174.28/22.35 inference(trivial_equality_resolution,[status(esa)],[f18425])).
% 174.28/22.35 fof(f18462,plain,(
% 174.28/22.35 spl0_737),
% 174.28/22.35 inference(contradiction_clause,[status(thm)],[f18461])).
% 174.28/22.35 fof(f18465,plain,(
% 174.28/22.35 spl0_745 <=> sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))=sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f18467,plain,(
% 174.28/22.35 ~sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))=sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))|spl0_745),
% 174.28/22.35 inference(component_clause,[status(thm)],[f18465])).
% 174.28/22.35 fof(f18468,plain,(
% 174.28/22.35 spl0_746 <=> hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))=hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f18471,plain,(
% 174.28/22.35 ~sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))=sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))|hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))=hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
% 174.28/22.35 inference(paramodulation,[status(thm)],[f2927,f5274])).
% 174.28/22.35 fof(f18472,plain,(
% 174.28/22.35 ~spl0_745|spl0_746),
% 174.28/22.35 inference(split_clause,[status(thm)],[f18471,f18465,f18468])).
% 174.28/22.35 fof(f18473,plain,(
% 174.28/22.35 spl0_747 <=> sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))=sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f18475,plain,(
% 174.28/22.35 ~sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))=sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))|spl0_747),
% 174.28/22.35 inference(component_clause,[status(thm)],[f18473])).
% 174.28/22.35 fof(f18488,plain,(
% 174.28/22.35 spl0_750 <=> sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))=sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f18490,plain,(
% 174.28/22.35 ~sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))=sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))|spl0_750),
% 174.28/22.35 inference(component_clause,[status(thm)],[f18488])).
% 174.28/22.35 fof(f18491,plain,(
% 174.28/22.35 spl0_751 <=> hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))=hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f18494,plain,(
% 174.28/22.35 ~sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))=sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))|hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))=hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 174.28/22.35 inference(paramodulation,[status(thm)],[f2171,f5274])).
% 174.28/22.35 fof(f18495,plain,(
% 174.28/22.35 ~spl0_750|spl0_751),
% 174.28/22.35 inference(split_clause,[status(thm)],[f18494,f18488,f18491])).
% 174.28/22.35 fof(f18496,plain,(
% 174.28/22.35 $false|spl0_750),
% 174.28/22.35 inference(trivial_equality_resolution,[status(esa)],[f18490])).
% 174.28/22.35 fof(f18497,plain,(
% 174.28/22.35 spl0_750),
% 174.28/22.35 inference(contradiction_clause,[status(thm)],[f18496])).
% 174.28/22.35 fof(f18498,plain,(
% 174.28/22.35 $false|spl0_745),
% 174.28/22.35 inference(trivial_equality_resolution,[status(esa)],[f18467])).
% 174.28/22.35 fof(f18499,plain,(
% 174.28/22.35 spl0_745),
% 174.28/22.35 inference(contradiction_clause,[status(thm)],[f18498])).
% 174.28/22.35 fof(f18512,plain,(
% 174.28/22.35 c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))=c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)),
% 174.28/22.35 inference(resolution,[status(thm)],[f4948,f4685])).
% 174.28/22.35 fof(f18523,plain,(
% 174.28/22.35 spl0_752 <=> ~X0=X0),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f18524,plain,(
% 174.28/22.35 ![X0]: (~X0=X0|~spl0_752)),
% 174.28/22.35 inference(component_clause,[status(thm)],[f18523])).
% 174.28/22.35 fof(f18526,plain,(
% 174.28/22.35 spl0_753 <=> c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f18529,plain,(
% 174.28/22.35 ![X0]: (~X0=X0|c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
% 174.28/22.35 inference(paramodulation,[status(thm)],[f2932,f2940])).
% 174.28/22.35 fof(f18530,plain,(
% 174.28/22.35 spl0_752|spl0_753),
% 174.28/22.35 inference(split_clause,[status(thm)],[f18529,f18523,f18526])).
% 174.28/22.35 fof(f18531,plain,(
% 174.28/22.35 $false|~spl0_752),
% 174.28/22.35 inference(trivial_equality_resolution,[status(esa)],[f18524])).
% 174.28/22.35 fof(f18532,plain,(
% 174.28/22.35 ~spl0_752),
% 174.28/22.35 inference(contradiction_clause,[status(thm)],[f18531])).
% 174.28/22.35 fof(f19304,plain,(
% 174.28/22.35 spl0_813 <=> c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f19305,plain,(
% 174.28/22.35 c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_813),
% 174.28/22.35 inference(component_clause,[status(thm)],[f19304])).
% 174.28/22.35 fof(f19307,plain,(
% 174.28/22.35 spl0_814 <=> 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_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f19310,plain,(
% 174.28/22.35 ![X0]: (c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(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)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))|~spl0_30)),
% 174.28/22.35 inference(resolution,[status(thm)],[f3191,f10017])).
% 174.28/22.35 fof(f19311,plain,(
% 174.28/22.35 spl0_813|spl0_814|~spl0_30),
% 174.28/22.35 inference(split_clause,[status(thm)],[f19310,f19304,f19307,f5358])).
% 174.28/22.35 fof(f19315,plain,(
% 174.28/22.35 spl0_815 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f19318,plain,(
% 174.28/22.35 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))|~spl0_30),
% 174.28/22.35 inference(resolution,[status(thm)],[f3191,f7775])).
% 174.28/22.35 fof(f19319,plain,(
% 174.28/22.35 spl0_813|spl0_815|~spl0_30),
% 174.28/22.35 inference(split_clause,[status(thm)],[f19318,f19304,f19315,f5358])).
% 174.28/22.35 fof(f19402,plain,(
% 174.28/22.35 c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_813),
% 174.28/22.35 inference(forward_demodulation,[status(thm)],[f3126,f19305])).
% 174.28/22.35 fof(f19403,plain,(
% 174.28/22.35 c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_813),
% 174.28/22.35 inference(forward_demodulation,[status(thm)],[f3188,f19402])).
% 174.28/22.35 fof(f19404,plain,(
% 174.28/22.35 $false|~spl0_813),
% 174.28/22.35 inference(forward_subsumption_resolution,[status(thm)],[f19403,f2170])).
% 174.28/22.35 fof(f19405,plain,(
% 174.28/22.35 ~spl0_813),
% 174.28/22.35 inference(contradiction_clause,[status(thm)],[f19404])).
% 174.28/22.35 fof(f19440,plain,(
% 174.28/22.35 ![X0]: (c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0)))),
% 174.28/22.35 inference(paramodulation,[status(thm)],[f3650,f5024])).
% 174.28/22.35 fof(f19475,plain,(
% 174.28/22.35 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)|c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Oone__class_Oone(tc_Int_Oint)))),
% 174.28/22.35 inference(resolution,[status(thm)],[f3672,f13966])).
% 174.28/22.35 fof(f19486,plain,(
% 174.28/22.35 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|~spl0_153),
% 174.28/22.35 inference(forward_demodulation,[status(thm)],[f7732,f6663])).
% 174.28/22.35 fof(f19487,plain,(
% 174.28/22.35 $false|~spl0_153),
% 174.28/22.35 inference(forward_subsumption_resolution,[status(thm)],[f19486,f2170])).
% 174.28/22.35 fof(f19488,plain,(
% 174.28/22.35 ~spl0_153),
% 174.28/22.35 inference(contradiction_clause,[status(thm)],[f19487])).
% 174.28/22.35 fof(f19528,plain,(
% 174.28/22.35 spl0_819 <=> c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f21665,plain,(
% 174.28/22.35 spl0_943 <=> c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=X2|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)|X2=c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f22204,plain,(
% 174.28/22.35 spl0_960 <=> ~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),X0)=c_Groups_Oone__class_Oone(tc_Int_Oint)),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f22205,plain,(
% 174.28/22.35 ![X0]: (~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),X0)=c_Groups_Oone__class_Oone(tc_Int_Oint)|~spl0_960)),
% 174.28/22.35 inference(component_clause,[status(thm)],[f22204])).
% 174.28/22.35 fof(f22207,plain,(
% 174.28/22.35 spl0_961 <=> c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))=c_Groups_Oone__class_Oone(tc_Int_Oint)),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f22210,plain,(
% 174.28/22.35 ![X0]: (~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),X0)=c_Groups_Oone__class_Oone(tc_Int_Oint)|c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))=c_Groups_Oone__class_Oone(tc_Int_Oint))),
% 174.28/22.35 inference(resolution,[status(thm)],[f19440,f3540])).
% 174.28/22.35 fof(f22211,plain,(
% 174.28/22.35 spl0_960|spl0_961),
% 174.28/22.35 inference(split_clause,[status(thm)],[f22210,f22204,f22207])).
% 174.28/22.35 fof(f22215,plain,(
% 174.28/22.35 ![X0]: (~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X0)=c_Groups_Oone__class_Oone(tc_Int_Oint)|~spl0_960)),
% 174.28/22.35 inference(forward_demodulation,[status(thm)],[f3649,f22205])).
% 174.28/22.35 fof(f22216,plain,(
% 174.28/22.35 ![X0]: (~X0=c_Groups_Oone__class_Oone(tc_Int_Oint)|~spl0_960)),
% 174.28/22.35 inference(forward_demodulation,[status(thm)],[f3530,f22215])).
% 174.28/22.35 fof(f22217,plain,(
% 174.28/22.35 $false|~spl0_960),
% 174.28/22.35 inference(destructive_equality_resolution,[status(esa)],[f22216])).
% 174.28/22.35 fof(f22218,plain,(
% 174.28/22.35 ~spl0_960),
% 174.28/22.35 inference(contradiction_clause,[status(thm)],[f22217])).
% 174.28/22.35 fof(f22349,plain,(
% 174.28/22.35 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_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),
% 174.28/22.35 inference(resolution,[status(thm)],[f19475,f13966])).
% 174.28/22.35 fof(f22350,plain,(
% 174.28/22.35 spl0_144),
% 174.28/22.35 inference(split_clause,[status(thm)],[f22349,f7637])).
% 174.28/22.35 fof(f22594,plain,(
% 174.28/22.35 spl0_962 <=> sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))=sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f22596,plain,(
% 174.28/22.35 ~sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))=sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))|spl0_962),
% 174.28/22.35 inference(component_clause,[status(thm)],[f22594])).
% 174.28/22.35 fof(f22599,plain,(
% 174.28/22.35 spl0_963 <=> sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))=sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f22601,plain,(
% 174.28/22.35 ~sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))=sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))|spl0_963),
% 174.28/22.35 inference(component_clause,[status(thm)],[f22599])).
% 174.28/22.35 fof(f22614,plain,(
% 174.28/22.35 spl0_966 <=> sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))=sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f22616,plain,(
% 174.28/22.35 ~sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))=sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))|spl0_966),
% 174.28/22.35 inference(component_clause,[status(thm)],[f22614])).
% 174.28/22.35 fof(f22617,plain,(
% 174.28/22.35 spl0_967 <=> hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f22620,plain,(
% 174.28/22.35 ~sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))=sk0_0(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))|hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 174.28/22.35 inference(paramodulation,[status(thm)],[f2171,f5276])).
% 174.28/22.35 fof(f22621,plain,(
% 174.28/22.35 ~spl0_966|spl0_967),
% 174.28/22.35 inference(split_clause,[status(thm)],[f22620,f22614,f22617])).
% 174.28/22.35 fof(f22622,plain,(
% 174.28/22.35 $false|spl0_966),
% 174.28/22.35 inference(trivial_equality_resolution,[status(esa)],[f22616])).
% 174.28/22.35 fof(f22623,plain,(
% 174.28/22.35 spl0_966),
% 174.28/22.35 inference(contradiction_clause,[status(thm)],[f22622])).
% 174.28/22.35 fof(f22674,plain,(
% 174.28/22.35 ![X0,X1,X2,X3]: (X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~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),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X3))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X2,X1),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0))))),
% 174.28/22.35 inference(forward_demodulation,[status(thm)],[f2089,f5573])).
% 174.28/22.35 fof(f22693,plain,(
% 174.28/22.35 spl0_972 <=> ~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),c_Groups_Oone__class_Oone(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,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f22696,plain,(
% 174.28/22.35 ![X0,X1,X2]: (c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Ozero__class_Ozero(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),c_Groups_Oone__class_Oone(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,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))))),
% 174.28/22.35 inference(paramodulation,[status(thm)],[f2171,f22674])).
% 174.28/22.35 fof(f22697,plain,(
% 174.28/22.35 spl0_17|spl0_972),
% 174.28/22.35 inference(split_clause,[status(thm)],[f22696,f5197,f22693])).
% 174.28/22.35 fof(f22733,plain,(
% 174.28/22.35 spl0_975 <=> X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),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,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0)))),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f22736,plain,(
% 174.28/22.35 ![X0,X1,X2]: (X0=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_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),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,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0))))),
% 174.28/22.35 inference(paramodulation,[status(thm)],[f2171,f22674])).
% 174.28/22.35 fof(f22737,plain,(
% 174.28/22.35 spl0_975|~spl0_38),
% 174.28/22.35 inference(split_clause,[status(thm)],[f22736,f22733,f5583])).
% 174.28/22.35 fof(f22824,plain,(
% 174.28/22.35 spl0_980 <=> c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f22825,plain,(
% 174.28/22.35 c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_980),
% 174.28/22.35 inference(component_clause,[status(thm)],[f22824])).
% 174.28/22.35 fof(f22827,plain,(
% 174.28/22.35 spl0_981 <=> c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))=c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)))),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f22830,plain,(
% 174.28/22.35 c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))=c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)))),
% 174.28/22.35 inference(paramodulation,[status(thm)],[f18512,f7934])).
% 174.28/22.35 fof(f22831,plain,(
% 174.28/22.35 spl0_980|spl0_981),
% 174.28/22.35 inference(split_clause,[status(thm)],[f22830,f22824,f22827])).
% 174.28/22.35 fof(f22834,plain,(
% 174.28/22.35 $false|~spl0_980),
% 174.28/22.35 inference(forward_subsumption_resolution,[status(thm)],[f22825,f12121])).
% 174.28/22.35 fof(f22835,plain,(
% 174.28/22.35 ~spl0_980),
% 174.28/22.35 inference(contradiction_clause,[status(thm)],[f22834])).
% 174.28/22.35 fof(f22847,plain,(
% 174.28/22.35 ![X0,X1]: (~c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)=c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1)|X0=X1)),
% 174.28/22.35 inference(resolution,[status(thm)],[f1596,f4616])).
% 174.28/22.35 fof(f22863,plain,(
% 174.28/22.35 ![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)=X0|~spl0_18)),
% 174.28/22.35 inference(paramodulation,[status(thm)],[f5201,f22847])).
% 174.28/22.35 fof(f22915,plain,(
% 174.28/22.35 ![X0,X1]: (~X0=c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,X1)|X1=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),
% 174.28/22.35 inference(resolution,[status(thm)],[f2313,f4674])).
% 174.28/22.35 fof(f22918,plain,(
% 174.28/22.35 ![X0,X1]: (~X0=c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1)|X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
% 174.28/22.35 inference(resolution,[status(thm)],[f2313,f4512])).
% 174.28/22.35 fof(f22919,plain,(
% 174.28/22.35 ![X0]: (~X0=X0|c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),
% 174.28/22.35 inference(paramodulation,[status(thm)],[f14677,f22915])).
% 174.28/22.35 fof(f22920,plain,(
% 174.28/22.35 spl0_752|spl0_819),
% 174.28/22.35 inference(split_clause,[status(thm)],[f22919,f18523,f19528])).
% 174.28/22.35 fof(f22942,plain,(
% 174.28/22.35 ![X0]: (~X0=c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Groups_Oone__class_Oone(tc_Int_Oint)))),
% 174.28/22.35 inference(resolution,[status(thm)],[f22918,f3646])).
% 174.28/22.35 fof(f23000,plain,(
% 174.28/22.35 spl0_987 <=> class_Rings_Ocomm__semiring__1(tc_Int_Oint)),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f23002,plain,(
% 174.28/22.35 ~class_Rings_Ocomm__semiring__1(tc_Int_Oint)|spl0_987),
% 174.28/22.35 inference(component_clause,[status(thm)],[f23000])).
% 174.28/22.35 fof(f23008,plain,(
% 174.28/22.35 $false|spl0_987),
% 174.28/22.35 inference(forward_subsumption_resolution,[status(thm)],[f23002,f4540])).
% 174.28/22.35 fof(f23009,plain,(
% 174.28/22.35 spl0_987),
% 174.28/22.35 inference(contradiction_clause,[status(thm)],[f23008])).
% 174.28/22.35 fof(f23013,plain,(
% 174.28/22.35 ![X0]: (~X0=c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0))),
% 174.28/22.35 inference(paramodulation,[status(thm)],[f3650,f22942])).
% 174.28/22.35 fof(f23556,plain,(
% 174.28/22.35 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_7|~spl0_3),
% 174.28/22.35 inference(backward_demodulation,[status(thm)],[f5074,f4923])).
% 174.28/22.35 fof(f23557,plain,(
% 174.28/22.35 spl0_176|~spl0_7|~spl0_3),
% 174.28/22.35 inference(split_clause,[status(thm)],[f23556,f8301,f5073,f4922])).
% 174.28/22.35 fof(f25799,plain,(
% 174.28/22.35 ![X0,X1]: (c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=X0|X1=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~X1=c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X0)|~spl0_18)),
% 174.28/22.35 inference(resolution,[status(thm)],[f22863,f7577])).
% 174.28/22.35 fof(f25831,plain,(
% 174.28/22.35 spl0_1051 <=> c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=X0|~c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f25834,plain,(
% 174.28/22.35 ![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)|~c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)|~spl0_18)),
% 174.28/22.35 inference(paramodulation,[status(thm)],[f5122,f25799])).
% 174.28/22.35 fof(f25835,plain,(
% 174.28/22.35 spl0_1051|spl0_17|~spl0_18),
% 174.28/22.35 inference(split_clause,[status(thm)],[f25834,f25831,f5197,f5200])).
% 174.28/22.35 fof(f25902,plain,(
% 174.28/22.35 $false|spl0_963),
% 174.28/22.35 inference(trivial_equality_resolution,[status(esa)],[f22601])).
% 174.28/22.35 fof(f25903,plain,(
% 174.28/22.35 spl0_963),
% 174.28/22.35 inference(contradiction_clause,[status(thm)],[f25902])).
% 174.28/22.35 fof(f25904,plain,(
% 174.28/22.35 $false|spl0_962),
% 174.28/22.35 inference(trivial_equality_resolution,[status(esa)],[f22596])).
% 174.28/22.35 fof(f25905,plain,(
% 174.28/22.35 spl0_962),
% 174.28/22.35 inference(contradiction_clause,[status(thm)],[f25904])).
% 174.28/22.35 fof(f25908,plain,(
% 174.28/22.35 $false|spl0_747),
% 174.28/22.35 inference(trivial_equality_resolution,[status(esa)],[f18475])).
% 174.28/22.35 fof(f25909,plain,(
% 174.28/22.35 spl0_747),
% 174.28/22.35 inference(contradiction_clause,[status(thm)],[f25908])).
% 174.28/22.35 fof(f25915,plain,(
% 174.28/22.35 $false|spl0_265),
% 174.28/22.35 inference(forward_subsumption_resolution,[status(thm)],[f10187,f6616])).
% 174.28/22.35 fof(f25916,plain,(
% 174.28/22.35 spl0_265),
% 174.28/22.35 inference(contradiction_clause,[status(thm)],[f25915])).
% 174.28/22.35 fof(f25982,plain,(
% 174.28/22.35 spl0_71|~spl0_718),
% 174.28/22.35 inference(split_clause,[status(thm)],[f18106,f6486,f17958])).
% 174.28/22.35 fof(f26401,plain,(
% 174.28/22.35 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|~spl0_722|~spl0_18),
% 174.28/22.35 inference(backward_demodulation,[status(thm)],[f18053,f5201])).
% 174.28/22.35 fof(f26402,plain,(
% 174.28/22.35 spl0_17|~spl0_722|~spl0_18),
% 174.28/22.35 inference(split_clause,[status(thm)],[f26401,f5197,f18052,f5200])).
% 174.28/22.35 fof(f27670,plain,(
% 174.28/22.35 spl0_1079 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f27671,plain,(
% 174.28/22.35 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,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_1079),
% 174.28/22.35 inference(component_clause,[status(thm)],[f27670])).
% 174.28/22.35 fof(f27673,plain,(
% 174.28/22.35 ![X0,X1]: (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_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,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_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,X1,X0)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)|~spl0_294|~spl0_30)),
% 174.28/22.35 inference(resolution,[status(thm)],[f17629,f5406])).
% 174.28/22.35 fof(f27674,plain,(
% 174.28/22.35 spl0_41|spl0_1079|spl0_33|~spl0_294|~spl0_30),
% 174.28/22.35 inference(split_clause,[status(thm)],[f27673,f5605,f27670,f5427,f11055,f5358])).
% 174.28/22.35 fof(f27712,plain,(
% 174.28/22.35 ![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_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,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_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=X0|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~spl0_294)),
% 174.28/22.35 inference(resolution,[status(thm)],[f17629,f6024])).
% 174.28/22.35 fof(f27713,plain,(
% 174.28/22.35 spl0_41|spl0_1079|spl0_59|~spl0_294),
% 174.28/22.35 inference(split_clause,[status(thm)],[f27712,f5605,f27670,f6154,f11055])).
% 174.28/22.35 fof(f27743,plain,(
% 174.28/22.35 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))|~spl0_18|~spl0_1079),
% 174.28/22.35 inference(forward_demodulation,[status(thm)],[f5511,f27671])).
% 174.28/22.35 fof(f27744,plain,(
% 174.28/22.35 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_18|~spl0_1079),
% 174.28/22.35 inference(forward_demodulation,[status(thm)],[f14019,f27743])).
% 174.28/22.35 fof(f27745,plain,(
% 174.28/22.35 $false|~spl0_18|~spl0_1079),
% 174.28/22.35 inference(forward_subsumption_resolution,[status(thm)],[f27744,f4954])).
% 174.28/22.35 fof(f27746,plain,(
% 174.28/22.35 ~spl0_18|~spl0_1079),
% 174.28/22.35 inference(contradiction_clause,[status(thm)],[f27745])).
% 174.28/22.35 fof(f29524,plain,(
% 174.28/22.35 $false|spl0_682),
% 174.28/22.35 inference(forward_subsumption_resolution,[status(thm)],[f3731,f17412])).
% 174.28/22.35 fof(f29525,plain,(
% 174.28/22.35 spl0_682),
% 174.28/22.35 inference(contradiction_clause,[status(thm)],[f29524])).
% 174.28/22.35 fof(f29599,plain,(
% 174.28/22.35 spl0_1116 <=> 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),X0)|X0=c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f29602,plain,(
% 174.28/22.35 ![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_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=X0|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)|X0=c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~spl0_270|~spl0_18)),
% 174.28/22.35 inference(paramodulation,[status(thm)],[f5201,f14068])).
% 174.28/22.35 fof(f29603,plain,(
% 174.28/22.35 spl0_28|spl0_1116|~spl0_270|~spl0_18),
% 174.28/22.35 inference(split_clause,[status(thm)],[f29602,f5337,f29599,f10253,f5200])).
% 174.28/22.35 fof(f29686,plain,(
% 174.28/22.35 spl0_1118 <=> c_Groups_Ozero__class_Ozero(tc_Int_Oint)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f29689,plain,(
% 174.28/22.35 ![X0]: (~X0=X0|c_Groups_Ozero__class_Ozero(tc_Int_Oint)=c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
% 174.28/22.35 inference(paramodulation,[status(thm)],[f3649,f22918])).
% 174.28/22.35 fof(f29690,plain,(
% 174.28/22.35 spl0_752|spl0_1118),
% 174.28/22.35 inference(split_clause,[status(thm)],[f29689,f18523,f29686])).
% 174.28/22.35 fof(f29849,plain,(
% 174.28/22.35 ![X0,X1]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0))),
% 174.28/22.35 inference(resolution,[status(thm)],[f2606,f4548])).
% 174.28/22.35 fof(f30040,plain,(
% 174.28/22.35 ![X0,X1]: (~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0))),
% 174.28/22.35 inference(resolution,[status(thm)],[f2740,f4548])).
% 174.28/22.35 fof(f30096,plain,(
% 174.28/22.35 spl0_1119 <=> class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex)),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f30098,plain,(
% 174.28/22.35 ~class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex)|spl0_1119),
% 174.28/22.35 inference(component_clause,[status(thm)],[f30096])).
% 174.28/22.35 fof(f30099,plain,(
% 174.28/22.35 spl0_1120 <=> c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,X1))=c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1))),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f30102,plain,(
% 174.28/22.35 ![X0,X1]: (~class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex)|c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,X1))=c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)))),
% 174.28/22.35 inference(resolution,[status(thm)],[f1658,f4682])).
% 174.28/22.35 fof(f30103,plain,(
% 174.28/22.35 ~spl0_1119|spl0_1120),
% 174.28/22.35 inference(split_clause,[status(thm)],[f30102,f30096,f30099])).
% 174.28/22.35 fof(f30104,plain,(
% 174.28/22.35 spl0_1121 <=> class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal)),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f30106,plain,(
% 174.28/22.35 ~class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal)|spl0_1121),
% 174.28/22.35 inference(component_clause,[status(thm)],[f30104])).
% 174.28/22.35 fof(f30107,plain,(
% 174.28/22.35 spl0_1122 <=> c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1))=c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1))),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f30110,plain,(
% 174.28/22.35 ![X0,X1]: (~class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal)|c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1))=c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1)))),
% 174.28/22.35 inference(resolution,[status(thm)],[f1658,f4627])).
% 174.28/22.35 fof(f30111,plain,(
% 174.28/22.35 ~spl0_1121|spl0_1122),
% 174.28/22.35 inference(split_clause,[status(thm)],[f30110,f30104,f30107])).
% 174.28/22.35 fof(f30112,plain,(
% 174.28/22.35 $false|spl0_1121),
% 174.28/22.35 inference(forward_subsumption_resolution,[status(thm)],[f30106,f4634])).
% 174.28/22.35 fof(f30113,plain,(
% 174.28/22.35 spl0_1121),
% 174.28/22.35 inference(contradiction_clause,[status(thm)],[f30112])).
% 174.28/22.35 fof(f30114,plain,(
% 174.28/22.35 $false|spl0_1119),
% 174.28/22.35 inference(forward_subsumption_resolution,[status(thm)],[f30098,f4685])).
% 174.28/22.35 fof(f30115,plain,(
% 174.28/22.35 spl0_1119),
% 174.28/22.35 inference(contradiction_clause,[status(thm)],[f30114])).
% 174.28/22.35 fof(f30771,plain,(
% 174.28/22.35 ~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_32),
% 174.28/22.35 inference(resolution,[status(thm)],[f5415,f4955])).
% 174.28/22.35 fof(f30772,plain,(
% 174.28/22.35 ~spl0_20|~spl0_32),
% 174.28/22.35 inference(split_clause,[status(thm)],[f30771,f5217,f5414])).
% 174.28/22.35 fof(f30853,plain,(
% 174.28/22.35 ![X0]: (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_727)),
% 174.28/22.35 inference(duplicate_literals_removal,[status(esa)],[f18124])).
% 174.28/22.35 fof(f30854,plain,(
% 174.28/22.35 $false|~spl0_716),
% 174.28/22.35 inference(forward_subsumption_resolution,[status(thm)],[f17932,f23013])).
% 174.28/22.35 fof(f30855,plain,(
% 174.28/22.35 ~spl0_716),
% 174.28/22.35 inference(contradiction_clause,[status(thm)],[f30854])).
% 174.28/22.35 fof(f30856,plain,(
% 174.28/22.35 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_711),
% 174.28/22.35 inference(forward_demodulation,[status(thm)],[f2172,f17809])).
% 174.28/22.35 fof(f30857,plain,(
% 174.28/22.35 $false|~spl0_711),
% 174.28/22.35 inference(forward_subsumption_resolution,[status(thm)],[f30856,f4954])).
% 174.28/22.35 fof(f30858,plain,(
% 174.28/22.35 ~spl0_711),
% 174.28/22.35 inference(contradiction_clause,[status(thm)],[f30857])).
% 174.28/22.35 fof(f30876,plain,(
% 174.28/22.35 c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))|~spl0_680),
% 174.28/22.35 inference(forward_demodulation,[status(thm)],[f3648,f17403])).
% 174.28/22.35 fof(f30877,plain,(
% 174.28/22.35 $false|spl0_681|~spl0_680),
% 174.28/22.35 inference(forward_subsumption_resolution,[status(thm)],[f30876,f17407])).
% 174.28/22.35 fof(f30878,plain,(
% 174.28/22.35 spl0_681|~spl0_680),
% 174.28/22.35 inference(contradiction_clause,[status(thm)],[f30877])).
% 174.28/22.35 fof(f30958,plain,(
% 174.28/22.35 c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))|~spl0_430),
% 174.28/22.35 inference(forward_demodulation,[status(thm)],[f3649,f13972])).
% 174.28/22.35 fof(f30973,plain,(
% 174.28/22.35 ![X0]: (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)|~spl0_390)),
% 174.28/22.35 inference(forward_subsumption_resolution,[status(thm)],[f12799,f4029])).
% 174.28/22.35 fof(f30977,plain,(
% 174.28/22.35 ![X0]: (X0=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~spl0_349)),
% 174.28/22.35 inference(trivial_equality_resolution,[status(esa)],[f11614])).
% 174.28/22.35 fof(f30978,plain,(
% 174.28/22.35 ![X0]: (X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~X0=X0|~spl0_18|~spl0_345)),
% 174.28/22.35 inference(forward_demodulation,[status(thm)],[f5511,f11592])).
% 174.28/22.35 fof(f30979,plain,(
% 174.28/22.35 ![X0]: (X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_18|~spl0_345)),
% 174.28/22.35 inference(trivial_equality_resolution,[status(esa)],[f30978])).
% 174.28/22.35 fof(f31016,plain,(
% 174.28/22.35 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_132),
% 174.28/22.35 inference(forward_demodulation,[status(thm)],[f6663,f7523])).
% 174.28/22.35 fof(f31017,plain,(
% 174.28/22.35 c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_18|~spl0_132),
% 174.28/22.35 inference(forward_demodulation,[status(thm)],[f5201,f31016])).
% 174.28/22.35 fof(f31018,plain,(
% 174.28/22.35 $false|~spl0_18|~spl0_132),
% 174.28/22.35 inference(forward_subsumption_resolution,[status(thm)],[f31017,f2170])).
% 174.28/22.35 fof(f31019,plain,(
% 174.28/22.35 ~spl0_18|~spl0_132),
% 174.28/22.35 inference(contradiction_clause,[status(thm)],[f31018])).
% 174.28/22.35 fof(f31027,plain,(
% 174.28/22.35 ~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
% 174.28/22.35 inference(resolution,[status(thm)],[f30040,f3731])).
% 174.28/22.35 fof(f31028,plain,(
% 174.28/22.35 ~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
% 174.28/22.35 inference(resolution,[status(thm)],[f29849,f3645])).
% 174.28/22.35 fof(f32071,plain,(
% 174.28/22.35 spl0_1141 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X2)),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f32072,plain,(
% 174.28/22.35 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0)|~spl0_1141)),
% 174.28/22.35 inference(component_clause,[status(thm)],[f32071])).
% 174.28/22.35 fof(f32076,plain,(
% 174.28/22.35 spl0_1142 <=> ~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f32077,plain,(
% 174.28/22.35 ![X0]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)|~spl0_1142)),
% 174.28/22.35 inference(component_clause,[status(thm)],[f32076])).
% 174.28/22.35 fof(f32087,plain,(
% 174.28/22.35 $false|~spl0_359|spl0_7),
% 174.28/22.35 inference(backward_subsumption_resolution,[status(thm)],[f5075,f11991])).
% 174.28/22.35 fof(f32088,plain,(
% 174.28/22.35 ~spl0_359|spl0_7),
% 174.28/22.35 inference(contradiction_clause,[status(thm)],[f32087])).
% 174.28/22.35 fof(f32163,plain,(
% 174.28/22.35 ![X0,X1]: (c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)|~spl0_358)),
% 174.28/22.35 inference(paramodulation,[status(thm)],[f11954,f5024])).
% 174.28/22.35 fof(f32174,plain,(
% 174.28/22.35 ![X0,X1]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)|~spl0_358)),
% 174.28/22.35 inference(backward_subsumption_resolution,[status(thm)],[f29849,f32163])).
% 174.28/22.35 fof(f32175,plain,(
% 174.28/22.35 $false|~spl0_358),
% 174.28/22.35 inference(forward_subsumption_resolution,[status(thm)],[f32174,f32163])).
% 174.28/22.35 fof(f32176,plain,(
% 174.28/22.35 ~spl0_358),
% 174.28/22.35 inference(contradiction_clause,[status(thm)],[f32175])).
% 174.28/22.35 fof(f32177,plain,(
% 174.28/22.35 spl0_71|~spl0_18|~spl0_345),
% 174.28/22.35 inference(split_clause,[status(thm)],[f30979,f6486,f5200,f11591])).
% 174.28/22.35 fof(f32359,plain,(
% 174.28/22.35 spl0_1145 <=> class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal)),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f32361,plain,(
% 174.28/22.35 ~class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal)|spl0_1145),
% 174.28/22.35 inference(component_clause,[status(thm)],[f32359])).
% 174.28/22.35 fof(f32367,plain,(
% 174.28/22.35 $false|spl0_1145),
% 174.28/22.35 inference(forward_subsumption_resolution,[status(thm)],[f32361,f4645])).
% 174.28/22.35 fof(f32368,plain,(
% 174.28/22.35 spl0_1145),
% 174.28/22.35 inference(contradiction_clause,[status(thm)],[f32367])).
% 174.28/22.35 fof(f32420,plain,(
% 174.28/22.35 spl0_1147 <=> c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f32421,plain,(
% 174.28/22.35 ![X0,X1]: (c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)|~spl0_1147)),
% 174.28/22.35 inference(component_clause,[status(thm)],[f32420])).
% 174.28/22.35 fof(f32423,plain,(
% 174.28/22.35 ![X0,X1]: (~class_Rings_Ocomm__semiring__1(tc_Nat_Onat)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)|~spl0_347)),
% 174.28/22.35 inference(paramodulation,[status(thm)],[f11604,f4032])).
% 174.28/22.35 fof(f32424,plain,(
% 174.28/22.35 ~spl0_24|spl0_1147|~spl0_347),
% 174.28/22.35 inference(split_clause,[status(thm)],[f32423,f5255,f32420,f11603])).
% 174.28/22.35 fof(f32432,plain,(
% 174.28/22.35 ![X0,X1]: (~class_Rings_Ocomm__semiring__1(tc_Nat_Onat)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)|~spl0_349)),
% 174.28/22.35 inference(paramodulation,[status(thm)],[f30977,f4032])).
% 174.28/22.35 fof(f32433,plain,(
% 174.28/22.35 ~spl0_24|spl0_1147|~spl0_349),
% 174.28/22.35 inference(split_clause,[status(thm)],[f32432,f5255,f32420,f11613])).
% 174.28/22.35 fof(f32436,plain,(
% 174.28/22.35 spl0_1148 <=> class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex)),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f32438,plain,(
% 174.28/22.35 ~class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex)|spl0_1148),
% 174.28/22.35 inference(component_clause,[status(thm)],[f32436])).
% 174.28/22.35 fof(f32439,plain,(
% 174.28/22.35 spl0_1149 <=> c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,X0))=c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0))),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f32442,plain,(
% 174.28/22.35 ![X0]: (~class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex)|c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,X0))=c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)))),
% 174.28/22.35 inference(resolution,[status(thm)],[f1664,f4676])).
% 174.28/22.35 fof(f32443,plain,(
% 174.28/22.35 ~spl0_1148|spl0_1149),
% 174.28/22.35 inference(split_clause,[status(thm)],[f32442,f32436,f32439])).
% 174.28/22.35 fof(f32444,plain,(
% 174.28/22.35 spl0_1150 <=> class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal)),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f32446,plain,(
% 174.28/22.35 ~class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal)|spl0_1150),
% 174.28/22.35 inference(component_clause,[status(thm)],[f32444])).
% 174.28/22.35 fof(f32447,plain,(
% 174.28/22.35 spl0_1151 <=> c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0))=c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0))),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f32450,plain,(
% 174.28/22.35 ![X0]: (~class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal)|c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0))=c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0)))),
% 174.28/22.35 inference(resolution,[status(thm)],[f1664,f4616])).
% 174.28/22.35 fof(f32451,plain,(
% 174.28/22.35 ~spl0_1150|spl0_1151),
% 174.28/22.35 inference(split_clause,[status(thm)],[f32450,f32444,f32447])).
% 174.28/22.35 fof(f32452,plain,(
% 174.28/22.35 $false|spl0_1150),
% 174.28/22.35 inference(forward_subsumption_resolution,[status(thm)],[f32446,f4614])).
% 174.28/22.35 fof(f32453,plain,(
% 174.28/22.35 spl0_1150),
% 174.28/22.35 inference(contradiction_clause,[status(thm)],[f32452])).
% 174.28/22.35 fof(f32454,plain,(
% 174.28/22.35 $false|spl0_1148),
% 174.28/22.35 inference(forward_subsumption_resolution,[status(thm)],[f32438,f4675])).
% 174.28/22.35 fof(f32455,plain,(
% 174.28/22.35 spl0_1148),
% 174.28/22.35 inference(contradiction_clause,[status(thm)],[f32454])).
% 174.28/22.35 fof(f32844,plain,(
% 174.28/22.35 ![X0]: (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=X0|~spl0_727)),
% 174.28/22.35 inference(backward_demodulation,[status(thm)],[f30853,f14019])).
% 174.28/22.35 fof(f32845,plain,(
% 174.28/22.35 spl0_71|~spl0_727),
% 174.28/22.35 inference(split_clause,[status(thm)],[f32844,f6486,f18123])).
% 174.28/22.35 fof(f32936,plain,(
% 174.28/22.35 $false|~spl0_390),
% 174.28/22.35 inference(backward_subsumption_resolution,[status(thm)],[f6616,f30973])).
% 174.28/22.35 fof(f32937,plain,(
% 174.28/22.35 ~spl0_390),
% 174.28/22.35 inference(contradiction_clause,[status(thm)],[f32936])).
% 174.28/22.35 fof(f33379,plain,(
% 174.28/22.35 $false|~spl0_430),
% 174.28/22.35 inference(forward_subsumption_resolution,[status(thm)],[f31027,f30958])).
% 174.28/22.35 fof(f33380,plain,(
% 174.28/22.35 ~spl0_430),
% 174.28/22.35 inference(contradiction_clause,[status(thm)],[f33379])).
% 174.28/22.35 fof(f33384,plain,(
% 174.28/22.35 $false|~spl0_681),
% 174.28/22.35 inference(forward_subsumption_resolution,[status(thm)],[f17406,f31028])).
% 174.28/22.35 fof(f33385,plain,(
% 174.28/22.35 ~spl0_681),
% 174.28/22.35 inference(contradiction_clause,[status(thm)],[f33384])).
% 174.28/22.35 fof(f33474,plain,(
% 174.28/22.35 $false|~spl0_1142),
% 174.28/22.35 inference(forward_subsumption_resolution,[status(thm)],[f3645,f32077])).
% 174.28/22.35 fof(f33475,plain,(
% 174.28/22.35 ~spl0_1142),
% 174.28/22.35 inference(contradiction_clause,[status(thm)],[f33474])).
% 174.28/22.35 fof(f33478,plain,(
% 174.28/22.35 $false|~spl0_1141),
% 174.28/22.35 inference(forward_subsumption_resolution,[status(thm)],[f11529,f32072])).
% 174.28/22.35 fof(f33479,plain,(
% 174.28/22.35 ~spl0_1141),
% 174.28/22.35 inference(contradiction_clause,[status(thm)],[f33478])).
% 174.28/22.35 fof(f33538,plain,(
% 174.28/22.35 ![X0,X1]: (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)|X1=c_Groups_Oone__class_Oone(tc_Nat_Onat)|~spl0_1147)),
% 174.28/22.35 inference(forward_subsumption_resolution,[status(thm)],[f4442,f32421])).
% 174.28/22.35 fof(f33540,plain,(
% 174.28/22.35 spl0_1219 <=> X0=c_Groups_Oone__class_Oone(tc_Nat_Onat)),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f33541,plain,(
% 174.28/22.35 ![X0]: (X0=c_Groups_Oone__class_Oone(tc_Nat_Onat)|~spl0_1219)),
% 174.28/22.35 inference(component_clause,[status(thm)],[f33540])).
% 174.28/22.35 fof(f33543,plain,(
% 174.28/22.35 spl0_1220 <=> X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f33544,plain,(
% 174.28/22.35 ![X0]: (X0=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|~spl0_1220)),
% 174.28/22.35 inference(component_clause,[status(thm)],[f33543])).
% 174.28/22.35 fof(f33546,plain,(
% 174.28/22.35 ![X0,X1]: (X0=c_Groups_Oone__class_Oone(tc_Nat_Onat)|X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|~spl0_1147)),
% 174.28/22.35 inference(resolution,[status(thm)],[f33538,f2686])).
% 174.28/22.35 fof(f33547,plain,(
% 174.28/22.35 spl0_1219|spl0_1220|~spl0_1147),
% 174.28/22.35 inference(split_clause,[status(thm)],[f33546,f33540,f33543,f32420])).
% 174.28/22.35 fof(f33548,plain,(
% 174.28/22.35 ![X0]: (X0=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~spl0_1220)),
% 174.28/22.35 inference(forward_subsumption_resolution,[status(thm)],[f33544,f2193])).
% 174.28/22.35 fof(f33552,plain,(
% 174.28/22.35 $false|~spl0_1219),
% 174.28/22.35 inference(resolution,[status(thm)],[f33541,f23013])).
% 174.28/22.35 fof(f33553,plain,(
% 174.28/22.35 ~spl0_1219),
% 174.28/22.35 inference(contradiction_clause,[status(thm)],[f33552])).
% 174.28/22.35 fof(f33554,plain,(
% 174.28/22.35 $false|~spl0_1220),
% 174.28/22.35 inference(resolution,[status(thm)],[f33548,f23013])).
% 174.28/22.35 fof(f33555,plain,(
% 174.28/22.35 ~spl0_1220),
% 174.28/22.35 inference(contradiction_clause,[status(thm)],[f33554])).
% 174.28/22.35 fof(f33815,plain,(
% 174.28/22.35 ![X0,X1,X2]: (hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,X0,X1)),X2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X1),X2)))),
% 174.28/22.35 inference(resolution,[status(thm)],[f1762,f4692])).
% 174.28/22.35 fof(f33816,plain,(
% 174.28/22.35 ![X0,X1,X2]: (hAPP(c_Polynomial_Opoly(tc_RealDef_Oreal,c_Polynomial_Osmult(tc_RealDef_Oreal,X0,X1)),X2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),hAPP(c_Polynomial_Opoly(tc_RealDef_Oreal,X1),X2)))),
% 174.28/22.35 inference(resolution,[status(thm)],[f1762,f4646])).
% 174.28/22.35 fof(f34163,plain,(
% 174.28/22.35 ~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_35),
% 174.28/22.35 inference(resolution,[status(thm)],[f5450,f4955])).
% 174.28/22.35 fof(f34164,plain,(
% 174.28/22.35 $false|~spl0_30|~spl0_35),
% 174.28/22.35 inference(forward_subsumption_resolution,[status(thm)],[f34163,f5371])).
% 174.28/22.35 fof(f34165,plain,(
% 174.28/22.35 ~spl0_30|~spl0_35),
% 174.28/22.35 inference(contradiction_clause,[status(thm)],[f34164])).
% 174.28/22.35 fof(f34255,plain,(
% 174.28/22.35 ![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))|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),X0)|X0=c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))|~spl0_30|~spl0_270)),
% 174.28/22.35 inference(resolution,[status(thm)],[f5359,f14068])).
% 174.28/22.35 fof(f34256,plain,(
% 174.28/22.35 ~spl0_20|spl0_943|~spl0_30|~spl0_270),
% 174.28/22.35 inference(split_clause,[status(thm)],[f34255,f5217,f21665,f5358,f10253])).
% 174.28/22.35 fof(f34606,plain,(
% 174.28/22.35 spl0_1262 <=> class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex)),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f34608,plain,(
% 174.28/22.35 ~class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex)|spl0_1262),
% 174.28/22.35 inference(component_clause,[status(thm)],[f34606])).
% 174.28/22.35 fof(f34609,plain,(
% 174.28/22.35 spl0_1263 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,X0)),X1)=c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,X0)),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f34612,plain,(
% 174.28/22.35 ![X0,X1]: (~class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,X0)),X1)=c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,X0))),
% 174.28/22.35 inference(paramodulation,[status(thm)],[f1759,f1312])).
% 174.28/22.35 fof(f34613,plain,(
% 174.28/22.35 ~spl0_1262|spl0_1263),
% 174.28/22.35 inference(split_clause,[status(thm)],[f34612,f34606,f34609])).
% 174.28/22.35 fof(f34616,plain,(
% 174.28/22.35 $false|spl0_1262),
% 174.28/22.35 inference(forward_subsumption_resolution,[status(thm)],[f34608,f4691])).
% 174.28/22.35 fof(f34617,plain,(
% 174.28/22.35 spl0_1262),
% 174.28/22.35 inference(contradiction_clause,[status(thm)],[f34616])).
% 174.28/22.35 fof(f34634,plain,(
% 174.28/22.35 spl0_1266 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),X1)),X2)=hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,X2,X0)),X1)),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f34635,plain,(
% 174.28/22.35 ![X0,X1,X2]: (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),X1)),X2)=hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,X2,X0)),X1)|~spl0_1266)),
% 174.28/22.35 inference(component_clause,[status(thm)],[f34634])).
% 174.28/22.35 fof(f34637,plain,(
% 174.28/22.35 ![X0,X1,X2]: (~class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),X1)),X2)=hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,X2,X0)),X1))),
% 174.28/22.35 inference(paramodulation,[status(thm)],[f33815,f1312])).
% 174.28/22.35 fof(f34638,plain,(
% 174.28/22.35 ~spl0_1262|spl0_1266),
% 174.28/22.35 inference(split_clause,[status(thm)],[f34637,f34606,f34634])).
% 174.28/22.35 fof(f34643,plain,(
% 174.28/22.35 spl0_1267 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Polynomial_Opoly(tc_RealDef_Oreal,X0),X1)),X2)=hAPP(c_Polynomial_Opoly(tc_RealDef_Oreal,c_Polynomial_Osmult(tc_RealDef_Oreal,X2,X0)),X1)),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f34644,plain,(
% 174.28/22.35 ![X0,X1,X2]: (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Polynomial_Opoly(tc_RealDef_Oreal,X0),X1)),X2)=hAPP(c_Polynomial_Opoly(tc_RealDef_Oreal,c_Polynomial_Osmult(tc_RealDef_Oreal,X2,X0)),X1)|~spl0_1267)),
% 174.28/22.35 inference(component_clause,[status(thm)],[f34643])).
% 174.28/22.35 fof(f34646,plain,(
% 174.28/22.35 ![X0,X1,X2]: (~class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Polynomial_Opoly(tc_RealDef_Oreal,X0),X1)),X2)=hAPP(c_Polynomial_Opoly(tc_RealDef_Oreal,c_Polynomial_Osmult(tc_RealDef_Oreal,X2,X0)),X1))),
% 174.28/22.35 inference(paramodulation,[status(thm)],[f33816,f1312])).
% 174.28/22.35 fof(f34647,plain,(
% 174.28/22.35 ~spl0_1145|spl0_1267),
% 174.28/22.35 inference(split_clause,[status(thm)],[f34646,f32359,f34643])).
% 174.28/22.35 fof(f34651,plain,(
% 174.28/22.35 ![X0,X1,X2]: (c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),X1),X2)=hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,X2),X0)),X1)|~spl0_1266)),
% 174.28/22.35 inference(paramodulation,[status(thm)],[f1759,f34635])).
% 174.28/22.35 fof(f34654,plain,(
% 174.28/22.35 spl0_1268 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X1),X2))=hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,X0,X1)),X2)),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f34657,plain,(
% 174.28/22.35 ![X0,X1,X2]: (~class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X1),X2))=hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,X0,X1)),X2)|~spl0_1266)),
% 174.28/22.35 inference(paramodulation,[status(thm)],[f34635,f1312])).
% 174.28/22.35 fof(f34658,plain,(
% 174.28/22.35 ~spl0_1262|spl0_1268|~spl0_1266),
% 174.28/22.35 inference(split_clause,[status(thm)],[f34657,f34606,f34654,f34634])).
% 174.28/22.35 fof(f34671,plain,(
% 174.28/22.35 spl0_1269 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),hAPP(c_Polynomial_Opoly(tc_RealDef_Oreal,X1),X2))=hAPP(c_Polynomial_Opoly(tc_RealDef_Oreal,c_Polynomial_Osmult(tc_RealDef_Oreal,X0,X1)),X2)),
% 174.28/22.35 introduced(split_symbol_definition)).
% 174.28/22.35 fof(f34674,plain,(
% 174.28/22.35 ![X0,X1,X2]: (~class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),hAPP(c_Polynomial_Opoly(tc_RealDef_Oreal,X1),X2))=hAPP(c_Polynomial_Opoly(tc_RealDef_Oreal,c_Polynomial_Osmult(tc_RealDef_Oreal,X0,X1)),X2)|~spl0_1267)),
% 174.28/22.35 inference(paramodulation,[status(thm)],[f34644,f1312])).
% 174.28/22.35 fof(f34675,plain,(
% 174.28/22.35 ~spl0_1145|spl0_1269|~spl0_1267),
% 174.28/22.35 inference(split_clause,[status(thm)],[f34674,f32359,f34671,f34643])).
% 174.28/22.35 fof(f34682,plain,(
% 174.28/22.35 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_1266|~spl0_2),
% 174.28/22.35 inference(backward_demodulation,[status(thm)],[f34651,f4920])).
% 174.28/22.35 fof(f34683,plain,(
% 174.28/22.35 spl0_3|~spl0_1266|~spl0_2),
% 174.28/22.35 inference(split_clause,[status(thm)],[f34682,f4922,f34634,f4919])).
% 174.28/22.35 fof(f34687,plain,(
% 174.28/22.35 ~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_1266|spl0_2),
% 174.28/22.35 inference(forward_demodulation,[status(thm)],[f34651,f4921])).
% 174.28/22.35 fof(f35361,plain,(
% 174.28/22.35 ~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_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))),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_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|~spl0_1266|spl0_2),
% 174.82/22.43 inference(resolution,[status(thm)],[f34687,f1859])).
% 174.82/22.43 fof(f35362,plain,(
% 174.82/22.43 ~spl0_6|spl0_7|~spl0_1266|spl0_2),
% 174.82/22.43 inference(split_clause,[status(thm)],[f35361,f5070,f5073,f34634,f4919])).
% 174.82/22.43 fof(f35371,plain,(
% 174.82/22.43 $false),
% 174.82/22.43 inference(sat_refutation,[status(thm)],[f4925,f4926,f5093,f5117,f5119,f5204,f5208,f5231,f5298,f5383,f5587,f5609,f5614,f5619,f5628,f5637,f5651,f5666,f5728,f5832,f5872,f5971,f6199,f6322,f6451,f6467,f6493,f6498,f6514,f6657,f7373,f7526,f7566,f7571,f7597,f7599,f7651,f7668,f7738,f10228,f10233,f10257,f10470,f10782,f10956,f11059,f11540,f11550,f11555,f11571,f11576,f11590,f11675,f11702,f12049,f12366,f13084,f13537,f13912,f13961,f16221,f17243,f17245,f17249,f17392,f17397,f17422,f17589,f17645,f17935,f17957,f18050,f18056,f18061,f18113,f18122,f18159,f18193,f18223,f18356,f18430,f18438,f18456,f18458,f18460,f18462,f18472,f18495,f18497,f18499,f18530,f18532,f19311,f19319,f19405,f19488,f22211,f22218,f22350,f22621,f22623,f22697,f22737,f22831,f22835,f22920,f23009,f23557,f25835,f25903,f25905,f25909,f25916,f25982,f26402,f27674,f27713,f27746,f29525,f29603,f29690,f30103,f30111,f30113,f30115,f30772,f30855,f30858,f30878,f31019,f32088,f32176,f32177,f32368,f32424,f32433,f32443,f32451,f32453,f32455,f32845,f32937,f33380,f33385,f33475,f33479,f33547,f33553,f33555,f34165,f34256,f34613,f34617,f34638,f34647,f34658,f34675,f34683,f35362])).
% 174.82/22.43 % SZS output end CNFRefutation for theBenchmark.p
% 175.05/22.55 % Elapsed time: 22.191770 seconds
% 175.05/22.55 % CPU time: 174.987397 seconds
% 175.05/22.55 % Memory used: 1.144 GB
%------------------------------------------------------------------------------