TSTP Solution File: SWW222+1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWW222+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 12:44:30 EDT 2023
% Result : Theorem 21.87s 3.23s
% Output : CNFRefutation 21.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW222+1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n002.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 11:07:58 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.43 % Drodi V3.5.1
% 21.87/3.23 % Refutation found
% 21.87/3.23 % SZS status Theorem for theBenchmark: Theorem is valid
% 21.87/3.23 % SZS output start CNFRefutation for theBenchmark
% 21.87/3.23 fof(f3,axiom,(
% 21.87/3.23 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)),v_d____) ),
% 21.87/3.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.87/3.23 fof(f5,axiom,(
% 21.87/3.23 ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)))& c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)),v_d____) )=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ) ),
% 21.87/3.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.87/3.23 fof(f7,axiom,(
% 21.87/3.23 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_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
% 21.87/3.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.87/3.23 fof(f9,axiom,(
% 21.87/3.23 (! [V_w,T_a] :( ( class_Int_Onumber__ring(T_a)& class_RealVector_Oreal__normed__algebra__1(T_a) )=> c_RealVector_Onorm__class_Onorm(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w)) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,V_w)) ) )),
% 21.87/3.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.87/3.23 fof(f31,axiom,(
% 21.87/3.23 (! [V_r] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,V_r) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_r) )),
% 21.87/3.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.87/3.23 fof(f35,axiom,(
% 21.87/3.23 (! [V_x_2,T_a] :( class_RealVector_Oreal__normed__vector(T_a)=> ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,V_x_2))<=> V_x_2 != c_Groups_Ozero__class_Ozero(T_a) ) ) )),
% 21.87/3.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.87/3.23 fof(f40,axiom,(
% 21.87/3.23 (! [V_k2_2,V_k1_2] :( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(V_k1_2),c_Int_OBit0(V_k2_2))<=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k1_2,V_k2_2) ) )),
% 21.87/3.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.87/3.23 fof(f45,axiom,(
% 21.87/3.23 (! [T_a] :( class_Int_Onumber__ring(T_a)=> c_Int_Onumber__class_Onumber__of(T_a,c_Int_OPls) = c_Groups_Ozero__class_Ozero(T_a) ) )),
% 21.87/3.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.87/3.23 fof(f70,axiom,(
% 21.87/3.23 (! [V_l,V_k] : c_Int_OBit1(V_k) != c_Int_OBit0(V_l) )),
% 21.87/3.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.87/3.23 fof(f72,axiom,(
% 21.87/3.23 (! [V_k_2] :( c_Int_OBit0(V_k_2) = c_Int_OPls<=> V_k_2 = c_Int_OPls ) )),
% 21.87/3.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.87/3.23 fof(f79,axiom,(
% 21.87/3.23 (! [V_r] :( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_r,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=> c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_r) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_r) )& ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_r,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=> c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_r) = V_r ) ) )),
% 21.87/3.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.87/3.24 fof(f95,axiom,(
% 21.87/3.24 (! [V_l_2,V_k_2] :( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,V_l_2)<=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_k_2,V_l_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) )),
% 21.87/3.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.87/3.24 fof(f96,axiom,(
% 21.87/3.24 (! [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) ) )),
% 21.87/3.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.87/3.24 fof(f102,axiom,(
% 21.87/3.24 c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 21.87/3.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.87/3.24 fof(f121,axiom,(
% 21.87/3.24 (! [V_b_2,V_a_2,T_a] :( class_Groups_Oab__group__add(T_a)=> ( V_a_2 = V_b_2<=> c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2) = c_Groups_Ozero__class_Ozero(T_a) ) ) )),
% 21.87/3.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.87/3.24 fof(f302,axiom,(
% 21.87/3.24 (! [V_y_2,V_x_2] :( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x_2,V_y_2) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)<=> V_y_2 = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2) ) )),
% 21.87/3.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.87/3.24 fof(f307,axiom,(
% 21.87/3.24 (! [V_y,V_x] : c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_x,V_y) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_y)) )),
% 21.87/3.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.87/3.24 fof(f339,axiom,(
% 21.87/3.24 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_r) ),
% 21.87/3.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.87/3.24 fof(f341,axiom,(
% 21.87/3.24 (! [V_n] : c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Nat_OSuc(V_n)) )),
% 21.87/3.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.87/3.24 fof(f345,axiom,(
% 21.87/3.24 (! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(V_m) )),
% 21.87/3.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.87/3.24 fof(f471,axiom,(
% 21.87/3.24 (! [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 ) ) )),
% 21.87/3.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.87/3.24 fof(f551,axiom,(
% 21.87/3.24 (! [V_m] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )),
% 21.87/3.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.87/3.24 fof(f552,axiom,(
% 21.87/3.24 (! [V_m] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m )),
% 21.87/3.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.87/3.24 fof(f556,axiom,(
% 21.87/3.24 (! [V_n,V_k,V_j] :( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_j,V_k)=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_n),V_k) ) )),
% 21.87/3.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.87/3.24 fof(f624,axiom,(
% 21.87/3.24 (! [V_n,V_m] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n),V_n) = V_m )),
% 21.87/3.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.87/3.24 fof(f625,axiom,(
% 21.87/3.24 (! [V_m,V_n] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,V_m),V_n) = V_m )),
% 21.87/3.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.87/3.24 fof(f662,axiom,(
% 21.87/3.24 (! [V_za_2,T_a] :( class_Rings_Osemiring__1(T_a)=> ( c_Int_Oiszero(T_a,V_za_2)<=> V_za_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) )),
% 21.87/3.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.87/3.24 fof(f664,axiom,(
% 21.87/3.24 (! [T_a] :( class_Rings_Osemiring__1(T_a)=> ~ c_Int_Oiszero(T_a,c_Groups_Oone__class_Oone(T_a)) ) )),
% 21.87/3.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.87/3.24 fof(f966,axiom,(
% 21.87/3.24 (! [V_x] : c_Transcendental_Ocos(c_Transcendental_Oarctan(V_x)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) )),
% 21.87/3.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.87/3.24 fof(f1008,axiom,(
% 21.87/3.24 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ),
% 21.87/3.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.87/3.24 fof(f1018,axiom,(
% 21.87/3.24 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ),
% 21.87/3.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.87/3.24 fof(f1034,axiom,(
% 21.87/3.24 class_Groups_Oab__group__add(tc_Int_Oint) ),
% 21.87/3.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.87/3.24 fof(f1035,axiom,(
% 21.87/3.24 class_Rings_Ozero__neq__one(tc_Int_Oint) ),
% 21.87/3.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.87/3.24 fof(f1042,axiom,(
% 21.87/3.24 class_Groups_Ogroup__add(tc_Int_Oint) ),
% 21.87/3.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.87/3.24 fof(f1082,axiom,(
% 21.87/3.24 class_Rings_Osemiring__1(tc_Nat_Onat) ),
% 21.87/3.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.87/3.24 fof(f1099,axiom,(
% 21.87/3.24 class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 21.87/3.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.87/3.24 fof(f1112,axiom,(
% 21.87/3.24 class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal) ),
% 21.87/3.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.87/3.24 fof(f1132,axiom,(
% 21.87/3.24 class_Groups_Oab__group__add(tc_RealDef_Oreal) ),
% 21.87/3.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.87/3.24 fof(f1140,axiom,(
% 21.87/3.24 class_Groups_Ogroup__add(tc_RealDef_Oreal) ),
% 21.87/3.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.87/3.24 fof(f1144,axiom,(
% 21.87/3.24 class_Int_Onumber__ring(tc_RealDef_Oreal) ),
% 21.87/3.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.87/3.24 fof(f1158,axiom,(
% 21.87/3.24 class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ),
% 21.87/3.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.87/3.24 fof(f1162,axiom,(
% 21.87/3.24 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
% 21.87/3.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.87/3.24 fof(f1177,axiom,(
% 21.87/3.24 class_Groups_Oab__group__add(tc_Complex_Ocomplex) ),
% 21.87/3.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.87/3.24 fof(f1183,axiom,(
% 21.87/3.24 class_Groups_Ogroup__add(tc_Complex_Ocomplex) ),
% 21.87/3.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.87/3.24 fof(f1187,axiom,(
% 21.87/3.24 class_Int_Onumber__ring(tc_Complex_Ocomplex) ),
% 21.87/3.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.87/3.24 fof(f1251,conjecture,(
% 21.87/3.24 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
% 21.87/3.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.87/3.24 fof(f1252,negated_conjecture,(
% 21.87/3.24 ~(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )),
% 21.87/3.24 inference(negated_conjecture,[status(cth)],[f1251])).
% 21.87/3.24 fof(f1257,plain,(
% 21.87/3.24 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)),v_d____)),
% 21.87/3.24 inference(cnf_transformation,[status(esa)],[f3])).
% 21.87/3.24 fof(f1259,plain,(
% 21.87/3.24 (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)),v_d____))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),
% 21.87/3.24 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 21.87/3.24 fof(f1260,plain,(
% 21.87/3.24 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)),v_d____)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),
% 21.87/3.24 inference(cnf_transformation,[status(esa)],[f1259])).
% 21.87/3.24 fof(f1263,plain,(
% 21.87/3.24 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_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),
% 21.87/3.24 inference(cnf_transformation,[status(esa)],[f7])).
% 21.87/3.24 fof(f1268,plain,(
% 21.87/3.24 ![V_w,T_a]: ((~class_Int_Onumber__ring(T_a)|~class_RealVector_Oreal__normed__algebra__1(T_a))|c_RealVector_Onorm__class_Onorm(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w))=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,V_w)))),
% 21.87/3.24 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 21.87/3.24 fof(f1269,plain,(
% 21.87/3.24 ![T_a]: ((~class_Int_Onumber__ring(T_a)|~class_RealVector_Oreal__normed__algebra__1(T_a))|(![V_w]: c_RealVector_Onorm__class_Onorm(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w))=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,V_w))))),
% 21.87/3.24 inference(miniscoping,[status(esa)],[f1268])).
% 21.87/3.24 fof(f1270,plain,(
% 21.87/3.24 ![X0,X1]: (~class_Int_Onumber__ring(X0)|~class_RealVector_Oreal__normed__algebra__1(X0)|c_RealVector_Onorm__class_Onorm(X0,c_Int_Onumber__class_Onumber__of(X0,X1))=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,X1)))),
% 21.87/3.24 inference(cnf_transformation,[status(esa)],[f1269])).
% 21.87/3.24 fof(f1331,plain,(
% 21.87/3.24 ![X0]: (c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0)=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0))),
% 21.87/3.24 inference(cnf_transformation,[status(esa)],[f31])).
% 21.87/3.24 fof(f1341,plain,(
% 21.87/3.24 ![V_x_2,T_a]: (~class_RealVector_Oreal__normed__vector(T_a)|(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,V_x_2))<=>~V_x_2=c_Groups_Ozero__class_Ozero(T_a)))),
% 21.87/3.24 inference(pre_NNF_transformation,[status(esa)],[f35])).
% 21.87/3.24 fof(f1342,plain,(
% 21.87/3.24 ![V_x_2,T_a]: (~class_RealVector_Oreal__normed__vector(T_a)|((~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,V_x_2))|~V_x_2=c_Groups_Ozero__class_Ozero(T_a))&(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,V_x_2))|V_x_2=c_Groups_Ozero__class_Ozero(T_a))))),
% 21.87/3.24 inference(NNF_transformation,[status(esa)],[f1341])).
% 21.87/3.24 fof(f1343,plain,(
% 21.87/3.24 ![T_a]: (~class_RealVector_Oreal__normed__vector(T_a)|((![V_x_2]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,V_x_2))|~V_x_2=c_Groups_Ozero__class_Ozero(T_a)))&(![V_x_2]: (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,V_x_2))|V_x_2=c_Groups_Ozero__class_Ozero(T_a)))))),
% 21.87/3.24 inference(miniscoping,[status(esa)],[f1342])).
% 21.87/3.24 fof(f1345,plain,(
% 21.87/3.24 ![X0,X1]: (~class_RealVector_Oreal__normed__vector(X0)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1))|X1=c_Groups_Ozero__class_Ozero(X0))),
% 21.87/3.24 inference(cnf_transformation,[status(esa)],[f1343])).
% 21.87/3.24 fof(f1353,plain,(
% 21.87/3.24 ![V_k2_2,V_k1_2]: ((~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(V_k1_2),c_Int_OBit0(V_k2_2))|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k1_2,V_k2_2))&(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(V_k1_2),c_Int_OBit0(V_k2_2))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k1_2,V_k2_2)))),
% 21.87/3.24 inference(NNF_transformation,[status(esa)],[f40])).
% 21.87/3.24 fof(f1354,plain,(
% 21.87/3.24 (![V_k2_2,V_k1_2]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(V_k1_2),c_Int_OBit0(V_k2_2))|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k1_2,V_k2_2)))&(![V_k2_2,V_k1_2]: (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(V_k1_2),c_Int_OBit0(V_k2_2))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k1_2,V_k2_2)))),
% 21.87/3.24 inference(miniscoping,[status(esa)],[f1353])).
% 21.87/3.24 fof(f1355,plain,(
% 21.87/3.24 ![X0,X1]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(X0),c_Int_OBit0(X1))|c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1))),
% 21.87/3.24 inference(cnf_transformation,[status(esa)],[f1354])).
% 21.87/3.24 fof(f1374,plain,(
% 21.87/3.24 ![T_a]: (~class_Int_Onumber__ring(T_a)|c_Int_Onumber__class_Onumber__of(T_a,c_Int_OPls)=c_Groups_Ozero__class_Ozero(T_a))),
% 21.87/3.24 inference(pre_NNF_transformation,[status(esa)],[f45])).
% 21.87/3.24 fof(f1375,plain,(
% 21.87/3.24 ![X0]: (~class_Int_Onumber__ring(X0)|c_Int_Onumber__class_Onumber__of(X0,c_Int_OPls)=c_Groups_Ozero__class_Ozero(X0))),
% 21.87/3.24 inference(cnf_transformation,[status(esa)],[f1374])).
% 21.87/3.24 fof(f1461,plain,(
% 21.87/3.24 ![X0,X1]: (~c_Int_OBit1(X0)=c_Int_OBit0(X1))),
% 21.87/3.24 inference(cnf_transformation,[status(esa)],[f70])).
% 21.87/3.24 fof(f1463,plain,(
% 21.87/3.24 ![V_k_2]: ((~c_Int_OBit0(V_k_2)=c_Int_OPls|V_k_2=c_Int_OPls)&(c_Int_OBit0(V_k_2)=c_Int_OPls|~V_k_2=c_Int_OPls))),
% 21.87/3.24 inference(NNF_transformation,[status(esa)],[f72])).
% 21.87/3.24 fof(f1464,plain,(
% 21.87/3.24 (![V_k_2]: (~c_Int_OBit0(V_k_2)=c_Int_OPls|V_k_2=c_Int_OPls))&(![V_k_2]: (c_Int_OBit0(V_k_2)=c_Int_OPls|~V_k_2=c_Int_OPls))),
% 21.87/3.24 inference(miniscoping,[status(esa)],[f1463])).
% 21.87/3.24 fof(f1466,plain,(
% 21.87/3.24 ![X0]: (c_Int_OBit0(X0)=c_Int_OPls|~X0=c_Int_OPls)),
% 21.87/3.24 inference(cnf_transformation,[status(esa)],[f1464])).
% 21.87/3.24 fof(f1484,plain,(
% 21.87/3.24 ![V_r]: ((~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_r,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_r)=c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_r))&(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_r,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_r)=V_r))),
% 21.87/3.24 inference(pre_NNF_transformation,[status(esa)],[f79])).
% 21.87/3.24 fof(f1485,plain,(
% 21.87/3.24 (![V_r]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_r,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_r)=c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_r)))&(![V_r]: (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_r,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_r)=V_r))),
% 21.87/3.25 inference(miniscoping,[status(esa)],[f1484])).
% 21.87/3.25 fof(f1487,plain,(
% 21.87/3.25 ![X0]: (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0)=X0)),
% 21.87/3.25 inference(cnf_transformation,[status(esa)],[f1485])).
% 21.87/3.25 fof(f1531,plain,(
% 21.87/3.25 ![V_l_2,V_k_2]: ((~c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,V_l_2)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_k_2,V_l_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))&(c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,V_l_2)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_k_2,V_l_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),
% 21.87/3.25 inference(NNF_transformation,[status(esa)],[f95])).
% 21.87/3.25 fof(f1532,plain,(
% 21.87/3.25 (![V_l_2,V_k_2]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,V_l_2)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_k_2,V_l_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))&(![V_l_2,V_k_2]: (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,V_l_2)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_k_2,V_l_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),
% 21.87/3.25 inference(miniscoping,[status(esa)],[f1531])).
% 21.87/3.25 fof(f1533,plain,(
% 21.87/3.25 ![X0,X1]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),
% 21.87/3.25 inference(cnf_transformation,[status(esa)],[f1532])).
% 21.87/3.25 fof(f1535,plain,(
% 21.87/3.25 ![X0,X1]: (c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)|X0=X1|c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0))),
% 21.87/3.25 inference(cnf_transformation,[status(esa)],[f96])).
% 21.87/3.25 fof(f1550,plain,(
% 21.87/3.25 c_Int_OPls=c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
% 21.87/3.25 inference(cnf_transformation,[status(esa)],[f102])).
% 21.87/3.25 fof(f1618,plain,(
% 21.87/3.25 ![V_b_2,V_a_2,T_a]: (~class_Groups_Oab__group__add(T_a)|(V_a_2=V_b_2<=>c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2)=c_Groups_Ozero__class_Ozero(T_a)))),
% 21.87/3.25 inference(pre_NNF_transformation,[status(esa)],[f121])).
% 21.87/3.25 fof(f1619,plain,(
% 21.87/3.25 ![V_b_2,V_a_2,T_a]: (~class_Groups_Oab__group__add(T_a)|((~V_a_2=V_b_2|c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2)=c_Groups_Ozero__class_Ozero(T_a))&(V_a_2=V_b_2|~c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2)=c_Groups_Ozero__class_Ozero(T_a))))),
% 21.87/3.25 inference(NNF_transformation,[status(esa)],[f1618])).
% 21.87/3.25 fof(f1620,plain,(
% 21.87/3.25 ![T_a]: (~class_Groups_Oab__group__add(T_a)|((![V_b_2,V_a_2]: (~V_a_2=V_b_2|c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2)=c_Groups_Ozero__class_Ozero(T_a)))&(![V_b_2,V_a_2]: (V_a_2=V_b_2|~c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2)=c_Groups_Ozero__class_Ozero(T_a)))))),
% 21.87/3.25 inference(miniscoping,[status(esa)],[f1619])).
% 21.87/3.25 fof(f1621,plain,(
% 21.87/3.25 ![X0,X1,X2]: (~class_Groups_Oab__group__add(X0)|~X1=X2|c_Groups_Ominus__class_Ominus(X0,X1,X2)=c_Groups_Ozero__class_Ozero(X0))),
% 21.87/3.25 inference(cnf_transformation,[status(esa)],[f1620])).
% 21.87/3.25 fof(f1622,plain,(
% 21.87/3.25 ![X0,X1,X2]: (~class_Groups_Oab__group__add(X0)|X1=X2|~c_Groups_Ominus__class_Ominus(X0,X1,X2)=c_Groups_Ozero__class_Ozero(X0))),
% 21.87/3.25 inference(cnf_transformation,[status(esa)],[f1620])).
% 21.87/3.25 fof(f2259,plain,(
% 21.87/3.25 ![V_y_2,V_x_2]: ((~c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x_2,V_y_2)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|V_y_2=c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2))&(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x_2,V_y_2)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~V_y_2=c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2)))),
% 21.87/3.25 inference(NNF_transformation,[status(esa)],[f302])).
% 21.87/3.25 fof(f2260,plain,(
% 21.87/3.25 (![V_y_2,V_x_2]: (~c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x_2,V_y_2)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|V_y_2=c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2)))&(![V_y_2,V_x_2]: (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x_2,V_y_2)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~V_y_2=c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2)))),
% 21.87/3.25 inference(miniscoping,[status(esa)],[f2259])).
% 21.87/3.25 fof(f2262,plain,(
% 21.87/3.25 ![X0,X1]: (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~X1=c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0))),
% 21.87/3.25 inference(cnf_transformation,[status(esa)],[f2260])).
% 21.87/3.25 fof(f2270,plain,(
% 21.87/3.25 ![X0,X1]: (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1)=c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)))),
% 21.87/3.25 inference(cnf_transformation,[status(esa)],[f307])).
% 21.87/3.25 fof(f2345,plain,(
% 21.87/3.25 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_r)),
% 21.87/3.25 inference(cnf_transformation,[status(esa)],[f339])).
% 21.87/3.25 fof(f2348,plain,(
% 21.87/3.25 ![X0]: (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X0)))),
% 21.87/3.25 inference(cnf_transformation,[status(esa)],[f341])).
% 21.87/3.25 fof(f2352,plain,(
% 21.87/3.25 ![X0]: (~c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=c_Nat_OSuc(X0))),
% 21.87/3.25 inference(cnf_transformation,[status(esa)],[f345])).
% 21.87/3.25 fof(f2662,plain,(
% 21.87/3.25 ![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)))),
% 21.87/3.25 inference(NNF_transformation,[status(esa)],[f471])).
% 21.87/3.25 fof(f2663,plain,(
% 21.87/3.25 (![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)))),
% 21.87/3.25 inference(miniscoping,[status(esa)],[f2662])).
% 21.87/3.25 fof(f2665,plain,(
% 21.87/3.25 ![X0,X1]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)|~X0=X1)),
% 21.87/3.25 inference(cnf_transformation,[status(esa)],[f2663])).
% 21.87/3.25 fof(f2935,plain,(
% 21.87/3.25 ![X0]: (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X0)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
% 21.87/3.25 inference(cnf_transformation,[status(esa)],[f551])).
% 21.87/3.25 fof(f2936,plain,(
% 21.87/3.25 ![X0]: (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X0)),
% 21.87/3.25 inference(cnf_transformation,[status(esa)],[f552])).
% 21.87/3.25 fof(f2948,plain,(
% 21.87/3.25 ![V_n,V_k,V_j]: (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_j,V_k)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_n),V_k))),
% 21.87/3.25 inference(pre_NNF_transformation,[status(esa)],[f556])).
% 21.87/3.25 fof(f2949,plain,(
% 21.87/3.25 ![V_k,V_j]: (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_j,V_k)|(![V_n]: c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_n),V_k)))),
% 21.87/3.25 inference(miniscoping,[status(esa)],[f2948])).
% 21.87/3.25 fof(f2950,plain,(
% 21.87/3.25 ![X0,X1,X2]: (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2),X1))),
% 21.87/3.25 inference(cnf_transformation,[status(esa)],[f2949])).
% 21.87/3.25 fof(f3129,plain,(
% 21.87/3.25 ![X0,X1]: (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X1)=X0)),
% 21.87/3.25 inference(cnf_transformation,[status(esa)],[f624])).
% 21.87/3.25 fof(f3130,plain,(
% 21.87/3.25 ![X0,X1]: (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X0)=X1)),
% 21.87/3.25 inference(cnf_transformation,[status(esa)],[f625])).
% 21.87/3.25 fof(f3224,plain,(
% 21.87/3.25 ![V_za_2,T_a]: (~class_Rings_Osemiring__1(T_a)|(c_Int_Oiszero(T_a,V_za_2)<=>V_za_2=c_Groups_Ozero__class_Ozero(T_a)))),
% 21.87/3.25 inference(pre_NNF_transformation,[status(esa)],[f662])).
% 21.87/3.25 fof(f3225,plain,(
% 21.87/3.25 ![V_za_2,T_a]: (~class_Rings_Osemiring__1(T_a)|((~c_Int_Oiszero(T_a,V_za_2)|V_za_2=c_Groups_Ozero__class_Ozero(T_a))&(c_Int_Oiszero(T_a,V_za_2)|~V_za_2=c_Groups_Ozero__class_Ozero(T_a))))),
% 21.87/3.25 inference(NNF_transformation,[status(esa)],[f3224])).
% 21.87/3.25 fof(f3226,plain,(
% 21.87/3.25 ![T_a]: (~class_Rings_Osemiring__1(T_a)|((![V_za_2]: (~c_Int_Oiszero(T_a,V_za_2)|V_za_2=c_Groups_Ozero__class_Ozero(T_a)))&(![V_za_2]: (c_Int_Oiszero(T_a,V_za_2)|~V_za_2=c_Groups_Ozero__class_Ozero(T_a)))))),
% 21.87/3.25 inference(miniscoping,[status(esa)],[f3225])).
% 21.87/3.25 fof(f3228,plain,(
% 21.87/3.25 ![X0,X1]: (~class_Rings_Osemiring__1(X0)|c_Int_Oiszero(X0,X1)|~X1=c_Groups_Ozero__class_Ozero(X0))),
% 21.87/3.25 inference(cnf_transformation,[status(esa)],[f3226])).
% 21.87/3.25 fof(f3231,plain,(
% 21.87/3.25 ![T_a]: (~class_Rings_Osemiring__1(T_a)|~c_Int_Oiszero(T_a,c_Groups_Oone__class_Oone(T_a)))),
% 21.87/3.25 inference(pre_NNF_transformation,[status(esa)],[f664])).
% 21.87/3.25 fof(f3232,plain,(
% 21.87/3.25 ![X0]: (~class_Rings_Osemiring__1(X0)|~c_Int_Oiszero(X0,c_Groups_Oone__class_Oone(X0)))),
% 21.87/3.25 inference(cnf_transformation,[status(esa)],[f3231])).
% 21.87/3.25 fof(f4320,plain,(
% 21.87/3.25 ![X0]: (~c_Transcendental_Ocos(c_Transcendental_Oarctan(X0))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 21.87/3.25 inference(cnf_transformation,[status(esa)],[f966])).
% 21.87/3.25 fof(f4401,plain,(
% 21.87/3.25 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint)),
% 21.87/3.25 inference(cnf_transformation,[status(esa)],[f1008])).
% 21.87/3.25 fof(f4411,plain,(
% 21.87/3.25 class_Groups_Oordered__ab__group__add(tc_Int_Oint)),
% 21.87/3.25 inference(cnf_transformation,[status(esa)],[f1018])).
% 21.87/3.25 fof(f4427,plain,(
% 21.87/3.25 class_Groups_Oab__group__add(tc_Int_Oint)),
% 21.87/3.25 inference(cnf_transformation,[status(esa)],[f1034])).
% 21.87/3.25 fof(f4428,plain,(
% 21.87/3.25 class_Rings_Ozero__neq__one(tc_Int_Oint)),
% 21.87/3.25 inference(cnf_transformation,[status(esa)],[f1035])).
% 21.87/3.25 fof(f4435,plain,(
% 21.87/3.25 class_Groups_Ogroup__add(tc_Int_Oint)),
% 21.87/3.25 inference(cnf_transformation,[status(esa)],[f1042])).
% 21.87/3.25 fof(f4475,plain,(
% 21.87/3.25 class_Rings_Osemiring__1(tc_Nat_Onat)),
% 21.87/3.25 inference(cnf_transformation,[status(esa)],[f1082])).
% 21.87/3.25 fof(f4492,plain,(
% 21.87/3.25 class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal)),
% 21.87/3.25 inference(cnf_transformation,[status(esa)],[f1099])).
% 21.87/3.25 fof(f4505,plain,(
% 21.87/3.25 class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal)),
% 21.87/3.25 inference(cnf_transformation,[status(esa)],[f1112])).
% 21.87/3.25 fof(f4525,plain,(
% 21.87/3.25 class_Groups_Oab__group__add(tc_RealDef_Oreal)),
% 21.87/3.25 inference(cnf_transformation,[status(esa)],[f1132])).
% 21.87/3.25 fof(f4533,plain,(
% 21.87/3.25 class_Groups_Ogroup__add(tc_RealDef_Oreal)),
% 21.87/3.25 inference(cnf_transformation,[status(esa)],[f1140])).
% 21.87/3.25 fof(f4537,plain,(
% 21.87/3.25 class_Int_Onumber__ring(tc_RealDef_Oreal)),
% 21.87/3.25 inference(cnf_transformation,[status(esa)],[f1144])).
% 21.87/3.25 fof(f4551,plain,(
% 21.87/3.25 class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex)),
% 21.87/3.25 inference(cnf_transformation,[status(esa)],[f1158])).
% 21.87/3.25 fof(f4555,plain,(
% 21.87/3.25 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)),
% 21.87/3.25 inference(cnf_transformation,[status(esa)],[f1162])).
% 21.87/3.25 fof(f4570,plain,(
% 21.87/3.25 class_Groups_Oab__group__add(tc_Complex_Ocomplex)),
% 21.87/3.25 inference(cnf_transformation,[status(esa)],[f1177])).
% 21.87/3.25 fof(f4576,plain,(
% 21.87/3.25 class_Groups_Ogroup__add(tc_Complex_Ocomplex)),
% 21.87/3.25 inference(cnf_transformation,[status(esa)],[f1183])).
% 21.87/3.25 fof(f4580,plain,(
% 21.87/3.25 class_Int_Onumber__ring(tc_Complex_Ocomplex)),
% 21.87/3.25 inference(cnf_transformation,[status(esa)],[f1187])).
% 21.87/3.25 fof(f4699,plain,(
% 21.87/3.25 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),
% 21.87/3.25 inference(cnf_transformation,[status(esa)],[f1252])).
% 21.87/3.25 fof(f4805,plain,(
% 21.87/3.25 spl0_0 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)))),
% 21.87/3.25 introduced(split_symbol_definition)).
% 21.87/3.25 fof(f4807,plain,(
% 21.87/3.25 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)))|spl0_0),
% 21.87/3.25 inference(component_clause,[status(thm)],[f4805])).
% 21.87/3.25 fof(f4808,plain,(
% 21.87/3.25 spl0_1 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)),v_d____)),
% 21.87/3.25 introduced(split_symbol_definition)).
% 21.87/3.25 fof(f4810,plain,(
% 21.87/3.25 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)),v_d____)|spl0_1),
% 21.87/3.25 inference(component_clause,[status(thm)],[f4808])).
% 21.87/3.25 fof(f4811,plain,(
% 21.87/3.25 spl0_2 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),
% 21.87/3.25 introduced(split_symbol_definition)).
% 21.87/3.25 fof(f4812,plain,(
% 21.87/3.25 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))|~spl0_2),
% 21.87/3.25 inference(component_clause,[status(thm)],[f4811])).
% 21.87/3.25 fof(f4814,plain,(
% 21.87/3.25 ~spl0_0|~spl0_1|spl0_2),
% 21.87/3.25 inference(split_clause,[status(thm)],[f1260,f4805,f4808,f4811])).
% 21.87/3.25 fof(f4830,plain,(
% 21.87/3.25 spl0_7 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_r)),
% 21.87/3.25 introduced(split_symbol_definition)).
% 21.87/3.25 fof(f4832,plain,(
% 21.87/3.25 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_r)|spl0_7),
% 21.87/3.25 inference(component_clause,[status(thm)],[f4830])).
% 21.87/3.25 fof(f4839,plain,(
% 21.87/3.25 c_Int_OBit0(c_Int_OPls)=c_Int_OPls),
% 21.87/3.25 inference(destructive_equality_resolution,[status(esa)],[f1466])).
% 21.87/3.25 fof(f4848,plain,(
% 21.87/3.25 ![X0,X1]: (~class_Groups_Oab__group__add(X0)|c_Groups_Ominus__class_Ominus(X0,X1,X1)=c_Groups_Ozero__class_Ozero(X0))),
% 21.87/3.25 inference(destructive_equality_resolution,[status(esa)],[f1621])).
% 21.87/3.25 fof(f4867,plain,(
% 21.87/3.25 ![X0]: (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 21.87/3.25 inference(destructive_equality_resolution,[status(esa)],[f2262])).
% 21.87/3.25 fof(f4885,plain,(
% 21.87/3.25 ![X0]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X0))),
% 21.87/3.25 inference(destructive_equality_resolution,[status(esa)],[f2665])).
% 21.87/3.25 fof(f4909,plain,(
% 21.87/3.25 ![X0]: (~class_Rings_Osemiring__1(X0)|c_Int_Oiszero(X0,c_Groups_Ozero__class_Ozero(X0)))),
% 21.87/3.25 inference(destructive_equality_resolution,[status(esa)],[f3228])).
% 21.87/3.25 fof(f4970,plain,(
% 21.87/3.25 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),
% 21.87/3.25 inference(backward_demodulation,[status(thm)],[f1331,f4699])).
% 21.87/3.25 fof(f4976,plain,(
% 21.87/3.25 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_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),
% 21.87/3.25 inference(forward_demodulation,[status(thm)],[f1331,f1263])).
% 21.87/3.25 fof(f4977,plain,(
% 21.87/3.25 $false|spl0_1),
% 21.87/3.25 inference(forward_subsumption_resolution,[status(thm)],[f4810,f1257])).
% 21.87/3.25 fof(f4978,plain,(
% 21.87/3.25 spl0_1),
% 21.87/3.25 inference(contradiction_clause,[status(thm)],[f4977])).
% 21.87/3.25 fof(f5025,plain,(
% 21.87/3.25 ![X0]: (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)=X0)),
% 21.87/3.25 inference(paramodulation,[status(thm)],[f2936,f3130])).
% 21.87/3.25 fof(f5056,plain,(
% 21.87/3.25 ![X0]: (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0)=X0)),
% 21.87/3.25 inference(forward_demodulation,[status(thm)],[f1331,f1487])).
% 21.87/3.25 fof(f5057,plain,(
% 21.87/3.25 c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 21.87/3.25 inference(resolution,[status(thm)],[f5056,f4885])).
% 21.87/3.25 fof(f5106,plain,(
% 21.87/3.25 ![X0]: (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X0)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 21.87/3.25 inference(backward_demodulation,[status(thm)],[f2270,f4867])).
% 21.87/3.25 fof(f5199,plain,(
% 21.87/3.25 ![X0,X1]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,X1),c_Int_OPls))),
% 21.87/3.25 inference(forward_demodulation,[status(thm)],[f1550,f1533])).
% 21.87/3.25 fof(f5231,plain,(
% 21.87/3.25 ![X0,X1]: (~class_Int_Onumber__ring(X0)|~class_RealVector_Oreal__normed__algebra__1(X0)|c_RealVector_Onorm__class_Onorm(X0,c_Int_Onumber__class_Onumber__of(X0,X1))=c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,X1)))),
% 21.87/3.25 inference(forward_demodulation,[status(thm)],[f1331,f1270])).
% 21.87/3.25 fof(f7136,plain,(
% 21.87/3.25 ![X0,X1,X2]: (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X2)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2))),
% 21.87/3.25 inference(paramodulation,[status(thm)],[f3129,f2950])).
% 21.87/3.25 fof(f7738,plain,(
% 21.87/3.25 spl0_158 <=> class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)),
% 21.87/3.25 introduced(split_symbol_definition)).
% 21.87/3.25 fof(f7740,plain,(
% 21.87/3.25 ~class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)|spl0_158),
% 21.87/3.25 inference(component_clause,[status(thm)],[f7738])).
% 21.87/3.25 fof(f7741,plain,(
% 21.87/3.25 spl0_159 <=> c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),
% 21.87/3.25 introduced(split_symbol_definition)).
% 21.87/3.25 fof(f7742,plain,(
% 21.87/3.25 c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_159),
% 21.87/3.25 inference(component_clause,[status(thm)],[f7741])).
% 21.87/3.25 fof(f7744,plain,(
% 21.87/3.25 ~class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)|c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|spl0_0),
% 21.87/3.25 inference(resolution,[status(thm)],[f1345,f4807])).
% 21.87/3.25 fof(f7745,plain,(
% 21.87/3.25 ~spl0_158|spl0_159|spl0_0),
% 21.87/3.25 inference(split_clause,[status(thm)],[f7744,f7738,f7741,f4805])).
% 21.87/3.25 fof(f7780,plain,(
% 21.87/3.25 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))|~spl0_2),
% 21.87/3.25 inference(forward_demodulation,[status(thm)],[f1331,f4812])).
% 21.87/3.25 fof(f7781,plain,(
% 21.87/3.25 $false|~spl0_2),
% 21.87/3.25 inference(forward_subsumption_resolution,[status(thm)],[f7780,f4970])).
% 21.87/3.25 fof(f7782,plain,(
% 21.87/3.25 ~spl0_2),
% 21.87/3.25 inference(contradiction_clause,[status(thm)],[f7781])).
% 21.87/3.25 fof(f8895,plain,(
% 21.87/3.25 spl0_237 <=> class_Int_Onumber__ring(tc_RealDef_Oreal)),
% 21.87/3.25 introduced(split_symbol_definition)).
% 21.87/3.25 fof(f8896,plain,(
% 21.87/3.25 class_Int_Onumber__ring(tc_RealDef_Oreal)|~spl0_237),
% 21.87/3.25 inference(component_clause,[status(thm)],[f8895])).
% 21.87/3.25 fof(f8897,plain,(
% 21.87/3.25 ~class_Int_Onumber__ring(tc_RealDef_Oreal)|spl0_237),
% 21.87/3.25 inference(component_clause,[status(thm)],[f8895])).
% 21.87/3.25 fof(f11353,plain,(
% 21.87/3.25 $false|spl0_237),
% 21.87/3.25 inference(forward_subsumption_resolution,[status(thm)],[f4537,f8897])).
% 21.87/3.25 fof(f11354,plain,(
% 21.87/3.25 spl0_237),
% 21.87/3.25 inference(contradiction_clause,[status(thm)],[f11353])).
% 21.87/3.25 fof(f11375,plain,(
% 21.87/3.25 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OPls)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_237),
% 21.87/3.25 inference(resolution,[status(thm)],[f8896,f1375])).
% 21.87/3.25 fof(f12490,plain,(
% 21.87/3.25 spl0_424 <=> class_Int_Onumber__ring(tc_Complex_Ocomplex)),
% 21.87/3.25 introduced(split_symbol_definition)).
% 21.87/3.25 fof(f12491,plain,(
% 21.87/3.25 class_Int_Onumber__ring(tc_Complex_Ocomplex)|~spl0_424),
% 21.87/3.25 inference(component_clause,[status(thm)],[f12490])).
% 21.87/3.25 fof(f12492,plain,(
% 21.87/3.25 ~class_Int_Onumber__ring(tc_Complex_Ocomplex)|spl0_424),
% 21.87/3.25 inference(component_clause,[status(thm)],[f12490])).
% 21.87/3.25 fof(f12493,plain,(
% 21.87/3.25 spl0_425 <=> c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Int_Onumber__class_Onumber__of(tc_Complex_Ocomplex,X0))=c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,X0))),
% 21.87/3.25 introduced(split_symbol_definition)).
% 21.87/3.25 fof(f12494,plain,(
% 21.87/3.25 ![X0]: (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Int_Onumber__class_Onumber__of(tc_Complex_Ocomplex,X0))=c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,X0))|~spl0_425)),
% 21.87/3.25 inference(component_clause,[status(thm)],[f12493])).
% 21.87/3.25 fof(f12496,plain,(
% 21.87/3.25 ![X0]: (~class_Int_Onumber__ring(tc_Complex_Ocomplex)|c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Int_Onumber__class_Onumber__of(tc_Complex_Ocomplex,X0))=c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,X0)))),
% 21.87/3.25 inference(resolution,[status(thm)],[f4551,f5231])).
% 21.87/3.25 fof(f12497,plain,(
% 21.87/3.25 ~spl0_424|spl0_425),
% 21.87/3.25 inference(split_clause,[status(thm)],[f12496,f12490,f12493])).
% 21.87/3.25 fof(f12498,plain,(
% 21.87/3.25 $false|spl0_158),
% 21.87/3.25 inference(forward_subsumption_resolution,[status(thm)],[f4555,f7740])).
% 21.87/3.25 fof(f12499,plain,(
% 21.87/3.25 spl0_158),
% 21.87/3.25 inference(contradiction_clause,[status(thm)],[f12498])).
% 21.87/3.25 fof(f13164,plain,(
% 21.87/3.25 ![X0]: (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,X0)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),
% 21.87/3.25 inference(resolution,[status(thm)],[f4570,f4848])).
% 21.87/3.25 fof(f13962,plain,(
% 21.87/3.25 $false|spl0_424),
% 21.87/3.25 inference(forward_subsumption_resolution,[status(thm)],[f4580,f12492])).
% 21.87/3.25 fof(f13963,plain,(
% 21.87/3.25 spl0_424),
% 21.87/3.25 inference(contradiction_clause,[status(thm)],[f13962])).
% 21.87/3.25 fof(f13982,plain,(
% 21.87/3.25 c_Int_Onumber__class_Onumber__of(tc_Complex_Ocomplex,c_Int_OPls)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_424),
% 21.87/3.25 inference(resolution,[status(thm)],[f12491,f1375])).
% 21.87/3.25 fof(f14136,plain,(
% 21.87/3.25 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))=c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OPls))|~spl0_425|~spl0_424),
% 21.87/3.25 inference(paramodulation,[status(thm)],[f13982,f12494])).
% 21.87/3.25 fof(f14137,plain,(
% 21.87/3.25 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))=c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~spl0_237|~spl0_425|~spl0_424),
% 21.87/3.25 inference(forward_demodulation,[status(thm)],[f11375,f14136])).
% 21.87/3.25 fof(f14138,plain,(
% 21.87/3.25 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_237|~spl0_425|~spl0_424),
% 21.87/3.25 inference(forward_demodulation,[status(thm)],[f5057,f14137])).
% 21.87/3.25 fof(f15383,plain,(
% 21.87/3.25 ![X0,X1]: (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1))))),
% 21.87/3.25 inference(resolution,[status(thm)],[f2348,f7136])).
% 21.87/3.25 fof(f15693,plain,(
% 21.87/3.25 ![X0]: (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(X0)))),
% 21.87/3.25 inference(paramodulation,[status(thm)],[f5025,f15383])).
% 21.87/3.25 fof(f15843,plain,(
% 21.87/3.25 ![X0,X1]: (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(X0),c_Int_OBit1(X1))|c_Int_OBit0(X0)=c_Int_OBit1(X1)|c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0))),
% 21.87/3.25 inference(resolution,[status(thm)],[f1535,f1355])).
% 21.87/3.25 fof(f15844,plain,(
% 21.87/3.25 ![X0,X1]: (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(X0),c_Int_OBit1(X1))|c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0))),
% 21.87/3.25 inference(forward_subsumption_resolution,[status(thm)],[f15843,f1461])).
% 21.87/3.25 fof(f17235,plain,(
% 21.87/3.25 spl0_582 <=> class_Groups_Oab__group__add(tc_Int_Oint)),
% 21.87/3.25 introduced(split_symbol_definition)).
% 21.87/3.25 fof(f17237,plain,(
% 21.87/3.25 ~class_Groups_Oab__group__add(tc_Int_Oint)|spl0_582),
% 21.87/3.25 inference(component_clause,[status(thm)],[f17235])).
% 21.87/3.25 fof(f17243,plain,(
% 21.87/3.25 spl0_584 <=> class_Groups_Oab__group__add(tc_RealDef_Oreal)),
% 21.87/3.25 introduced(split_symbol_definition)).
% 21.87/3.25 fof(f17245,plain,(
% 21.87/3.25 ~class_Groups_Oab__group__add(tc_RealDef_Oreal)|spl0_584),
% 21.87/3.25 inference(component_clause,[status(thm)],[f17243])).
% 21.87/3.25 fof(f17284,plain,(
% 21.87/3.25 spl0_591 <=> class_Groups_Oab__group__add(tc_Complex_Ocomplex)),
% 21.87/3.25 introduced(split_symbol_definition)).
% 21.87/3.25 fof(f17286,plain,(
% 21.87/3.25 ~class_Groups_Oab__group__add(tc_Complex_Ocomplex)|spl0_591),
% 21.87/3.25 inference(component_clause,[status(thm)],[f17284])).
% 21.87/3.25 fof(f17290,plain,(
% 21.87/3.25 spl0_593 <=> v_wa____=v_z____),
% 21.87/3.25 introduced(split_symbol_definition)).
% 21.87/3.25 fof(f17291,plain,(
% 21.87/3.25 v_wa____=v_z____|~spl0_593),
% 21.87/3.25 inference(component_clause,[status(thm)],[f17290])).
% 21.87/3.25 fof(f17300,plain,(
% 21.87/3.25 spl0_595 <=> ~c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X0)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
% 21.87/3.25 introduced(split_symbol_definition)).
% 21.87/3.25 fof(f17301,plain,(
% 21.87/3.25 ![X0]: (~c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X0)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~spl0_595)),
% 21.87/3.25 inference(component_clause,[status(thm)],[f17300])).
% 21.87/3.25 fof(f17308,plain,(
% 21.87/3.25 spl0_597 <=> c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X1),
% 21.87/3.25 introduced(split_symbol_definition)).
% 21.87/3.25 fof(f17309,plain,(
% 21.87/3.25 ![X0]: (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X0|~spl0_597)),
% 21.87/3.25 inference(component_clause,[status(thm)],[f17308])).
% 21.87/3.25 fof(f17390,plain,(
% 21.87/3.25 $false|spl0_591),
% 21.87/3.25 inference(forward_subsumption_resolution,[status(thm)],[f17286,f4570])).
% 21.87/3.25 fof(f17391,plain,(
% 21.87/3.25 spl0_591),
% 21.87/3.25 inference(contradiction_clause,[status(thm)],[f17390])).
% 21.87/3.25 fof(f17392,plain,(
% 21.87/3.25 $false|spl0_584),
% 21.87/3.25 inference(forward_subsumption_resolution,[status(thm)],[f17245,f4525])).
% 21.87/3.25 fof(f17393,plain,(
% 21.87/3.25 spl0_584),
% 21.87/3.25 inference(contradiction_clause,[status(thm)],[f17392])).
% 21.87/3.25 fof(f17394,plain,(
% 21.87/3.25 $false|spl0_582),
% 21.87/3.25 inference(forward_subsumption_resolution,[status(thm)],[f17237,f4427])).
% 21.87/3.25 fof(f17395,plain,(
% 21.87/3.25 spl0_582),
% 21.87/3.25 inference(contradiction_clause,[status(thm)],[f17394])).
% 21.87/3.25 fof(f17736,plain,(
% 21.87/3.25 spl0_615 <=> c_Int_OBit0(c_Int_OBit1(c_Int_OPls))=c_Int_OBit1(c_Int_OPls)),
% 21.87/3.25 introduced(split_symbol_definition)).
% 21.87/3.25 fof(f17737,plain,(
% 21.87/3.25 c_Int_OBit0(c_Int_OBit1(c_Int_OPls))=c_Int_OBit1(c_Int_OPls)|~spl0_615),
% 21.87/3.25 inference(component_clause,[status(thm)],[f17736])).
% 21.87/3.25 fof(f17795,plain,(
% 21.87/3.25 spl0_618 <=> c_Int_OPls=c_Int_OBit0(c_Int_OPls)),
% 21.87/3.25 introduced(split_symbol_definition)).
% 21.87/3.25 fof(f17797,plain,(
% 21.87/3.25 ~c_Int_OPls=c_Int_OBit0(c_Int_OPls)|spl0_618),
% 21.87/3.25 inference(component_clause,[status(thm)],[f17795])).
% 21.87/3.25 fof(f17803,plain,(
% 21.87/3.25 ~c_Int_OPls=c_Int_OPls|spl0_618),
% 21.87/3.25 inference(forward_demodulation,[status(thm)],[f4839,f17797])).
% 21.87/3.25 fof(f17804,plain,(
% 21.87/3.25 $false|spl0_618),
% 21.87/3.25 inference(trivial_equality_resolution,[status(esa)],[f17803])).
% 21.87/3.25 fof(f17805,plain,(
% 21.87/3.25 spl0_618),
% 21.87/3.25 inference(contradiction_clause,[status(thm)],[f17804])).
% 21.87/3.25 fof(f18217,plain,(
% 21.87/3.25 spl0_633 <=> class_Rings_Ozero__neq__one(tc_Int_Oint)),
% 21.87/3.25 introduced(split_symbol_definition)).
% 21.87/3.25 fof(f18219,plain,(
% 21.87/3.25 ~class_Rings_Ozero__neq__one(tc_Int_Oint)|spl0_633),
% 21.87/3.25 inference(component_clause,[status(thm)],[f18217])).
% 21.87/3.25 fof(f18225,plain,(
% 21.87/3.25 $false|spl0_633),
% 21.87/3.25 inference(forward_subsumption_resolution,[status(thm)],[f18219,f4428])).
% 21.87/3.25 fof(f18226,plain,(
% 21.87/3.25 spl0_633),
% 21.87/3.25 inference(contradiction_clause,[status(thm)],[f18225])).
% 21.87/3.25 fof(f18228,plain,(
% 21.87/3.25 spl0_635 <=> class_Groups_Ogroup__add(tc_Int_Oint)),
% 21.87/3.25 introduced(split_symbol_definition)).
% 21.87/3.25 fof(f18230,plain,(
% 21.87/3.25 ~class_Groups_Ogroup__add(tc_Int_Oint)|spl0_635),
% 21.87/3.25 inference(component_clause,[status(thm)],[f18228])).
% 21.87/3.25 fof(f18238,plain,(
% 21.87/3.25 spl0_637 <=> class_Groups_Ogroup__add(tc_RealDef_Oreal)),
% 21.87/3.25 introduced(split_symbol_definition)).
% 21.87/3.25 fof(f18240,plain,(
% 21.87/3.25 ~class_Groups_Ogroup__add(tc_RealDef_Oreal)|spl0_637),
% 21.87/3.25 inference(component_clause,[status(thm)],[f18238])).
% 21.87/3.25 fof(f18288,plain,(
% 21.87/3.25 $false|spl0_637),
% 21.87/3.25 inference(forward_subsumption_resolution,[status(thm)],[f18240,f4533])).
% 21.87/3.25 fof(f18289,plain,(
% 21.87/3.25 spl0_637),
% 21.87/3.25 inference(contradiction_clause,[status(thm)],[f18288])).
% 21.87/3.25 fof(f18290,plain,(
% 21.87/3.25 $false|spl0_635),
% 21.87/3.25 inference(forward_subsumption_resolution,[status(thm)],[f18230,f4435])).
% 21.87/3.25 fof(f18291,plain,(
% 21.87/3.25 spl0_635),
% 21.87/3.25 inference(contradiction_clause,[status(thm)],[f18290])).
% 21.87/3.25 fof(f18293,plain,(
% 21.87/3.25 ~class_Groups_Oab__group__add(tc_Complex_Ocomplex)|v_wa____=v_z____|~spl0_159),
% 21.87/3.25 inference(resolution,[status(thm)],[f1622,f7742])).
% 21.87/3.25 fof(f18294,plain,(
% 21.87/3.25 ~spl0_591|spl0_593|~spl0_159),
% 21.87/3.25 inference(split_clause,[status(thm)],[f18293,f17284,f17290,f7741])).
% 21.87/3.25 fof(f18326,plain,(
% 21.87/3.25 spl0_648 <=> c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),
% 21.87/3.25 introduced(split_symbol_definition)).
% 21.87/3.25 fof(f18328,plain,(
% 21.87/3.25 ~c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|spl0_648),
% 21.87/3.25 inference(component_clause,[status(thm)],[f18326])).
% 21.87/3.25 fof(f18405,plain,(
% 21.87/3.25 spl0_660 <=> class_Groups_Ogroup__add(tc_Complex_Ocomplex)),
% 21.87/3.25 introduced(split_symbol_definition)).
% 21.87/3.25 fof(f18407,plain,(
% 21.87/3.25 ~class_Groups_Ogroup__add(tc_Complex_Ocomplex)|spl0_660),
% 21.87/3.25 inference(component_clause,[status(thm)],[f18405])).
% 21.87/3.25 fof(f18475,plain,(
% 21.87/3.25 $false|spl0_660),
% 21.87/3.25 inference(forward_subsumption_resolution,[status(thm)],[f18407,f4576])).
% 21.87/3.25 fof(f18476,plain,(
% 21.87/3.25 spl0_660),
% 21.87/3.25 inference(contradiction_clause,[status(thm)],[f18475])).
% 21.87/3.25 fof(f18511,plain,(
% 21.87/3.25 spl0_662 <=> c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))=c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))),
% 21.87/3.25 introduced(split_symbol_definition)).
% 21.87/3.25 fof(f18513,plain,(
% 21.87/3.25 ~c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))=c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))|spl0_662),
% 21.87/3.25 inference(component_clause,[status(thm)],[f18511])).
% 21.87/3.25 fof(f18520,plain,(
% 21.87/3.25 $false|spl0_662),
% 21.87/3.25 inference(trivial_equality_resolution,[status(esa)],[f18513])).
% 21.87/3.25 fof(f18521,plain,(
% 21.87/3.25 spl0_662),
% 21.87/3.25 inference(contradiction_clause,[status(thm)],[f18520])).
% 21.87/3.25 fof(f18526,plain,(
% 21.87/3.25 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))|~spl0_593),
% 21.87/3.25 inference(backward_demodulation,[status(thm)],[f17291,f4970])).
% 21.87/3.25 fof(f18527,plain,(
% 21.87/3.25 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))|~spl0_593),
% 21.87/3.25 inference(forward_demodulation,[status(thm)],[f17291,f18526])).
% 21.87/3.25 fof(f18561,plain,(
% 21.87/3.25 $false|spl0_648),
% 21.87/3.25 inference(trivial_equality_resolution,[status(esa)],[f18328])).
% 21.87/3.25 fof(f18562,plain,(
% 21.87/3.25 spl0_648),
% 21.87/3.25 inference(contradiction_clause,[status(thm)],[f18561])).
% 21.87/3.25 fof(f18577,plain,(
% 21.87/3.25 $false|~spl0_615),
% 21.87/3.25 inference(forward_subsumption_resolution,[status(thm)],[f17737,f1461])).
% 21.87/3.25 fof(f18578,plain,(
% 21.87/3.25 ~spl0_615),
% 21.87/3.25 inference(contradiction_clause,[status(thm)],[f18577])).
% 21.87/3.25 fof(f18959,plain,(
% 21.87/3.25 c_Int_Oiszero(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
% 21.87/3.25 inference(resolution,[status(thm)],[f4909,f4475])).
% 21.87/3.25 fof(f18965,plain,(
% 21.87/3.25 ~c_Int_Oiszero(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),
% 21.87/3.25 inference(resolution,[status(thm)],[f3232,f4475])).
% 21.87/3.25 fof(f19008,plain,(
% 21.87/3.25 spl0_686 <=> class_Groups_Oordered__ab__group__add(tc_Int_Oint)),
% 21.87/3.25 introduced(split_symbol_definition)).
% 21.87/3.25 fof(f19010,plain,(
% 21.87/3.25 ~class_Groups_Oordered__ab__group__add(tc_Int_Oint)|spl0_686),
% 21.87/3.25 inference(component_clause,[status(thm)],[f19008])).
% 21.87/3.25 fof(f19059,plain,(
% 21.87/3.25 spl0_697 <=> class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal)),
% 21.87/3.25 introduced(split_symbol_definition)).
% 21.87/3.25 fof(f19061,plain,(
% 21.87/3.25 ~class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal)|spl0_697),
% 21.87/3.25 inference(component_clause,[status(thm)],[f19059])).
% 21.87/3.25 fof(f19062,plain,(
% 21.87/3.25 spl0_698 <=> ~c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)),
% 21.87/3.25 introduced(split_symbol_definition)).
% 21.87/3.25 fof(f19063,plain,(
% 21.87/3.25 ![X0,X1]: (~c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)|~spl0_698)),
% 21.87/3.25 inference(component_clause,[status(thm)],[f19062])).
% 21.87/3.25 fof(f19177,plain,(
% 21.87/3.25 spl0_721 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X2)),
% 21.87/3.25 introduced(split_symbol_definition)).
% 21.87/3.25 fof(f19178,plain,(
% 21.87/3.25 ![X0]: (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X0)|~spl0_721)),
% 21.87/3.25 inference(component_clause,[status(thm)],[f19177])).
% 21.87/3.25 fof(f19281,plain,(
% 21.87/3.25 $false|spl0_697),
% 21.87/3.25 inference(forward_subsumption_resolution,[status(thm)],[f19061,f4505])).
% 21.87/3.25 fof(f19282,plain,(
% 21.87/3.25 spl0_697),
% 21.87/3.25 inference(contradiction_clause,[status(thm)],[f19281])).
% 21.87/3.25 fof(f19283,plain,(
% 21.87/3.25 $false|spl0_686),
% 21.87/3.25 inference(forward_subsumption_resolution,[status(thm)],[f19010,f4411])).
% 21.87/3.25 fof(f19284,plain,(
% 21.87/3.25 spl0_686),
% 21.87/3.25 inference(contradiction_clause,[status(thm)],[f19283])).
% 21.87/3.25 fof(f19430,plain,(
% 21.87/3.25 spl0_753 <=> c_Groups_Oone__class_Oone(tc_Nat_Onat)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
% 21.87/3.25 introduced(split_symbol_definition)).
% 21.87/3.25 fof(f19431,plain,(
% 21.87/3.25 c_Groups_Oone__class_Oone(tc_Nat_Onat)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~spl0_753),
% 21.87/3.25 inference(component_clause,[status(thm)],[f19430])).
% 21.87/3.25 fof(f19438,plain,(
% 21.87/3.25 ~c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~spl0_595),
% 21.87/3.25 inference(forward_demodulation,[status(thm)],[f2935,f17301])).
% 21.87/3.25 fof(f19439,plain,(
% 21.87/3.25 $false|~spl0_595),
% 21.87/3.25 inference(trivial_equality_resolution,[status(esa)],[f19438])).
% 21.87/3.25 fof(f19440,plain,(
% 21.87/3.25 ~spl0_595),
% 21.87/3.25 inference(contradiction_clause,[status(thm)],[f19439])).
% 21.87/3.25 fof(f19491,plain,(
% 21.87/3.25 $false|~spl0_597),
% 21.87/3.25 inference(backward_subsumption_resolution,[status(thm)],[f2352,f17309])).
% 21.87/3.25 fof(f19492,plain,(
% 21.87/3.25 ~spl0_597),
% 21.87/3.25 inference(contradiction_clause,[status(thm)],[f19491])).
% 21.87/3.25 fof(f19493,plain,(
% 21.87/3.25 ![X0]: (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X0)|~spl0_698)),
% 21.87/3.25 inference(resolution,[status(thm)],[f19063,f5106])).
% 21.87/3.25 fof(f19494,plain,(
% 21.87/3.25 $false|~spl0_698),
% 21.87/3.25 inference(forward_subsumption_resolution,[status(thm)],[f19493,f4885])).
% 21.87/3.25 fof(f19495,plain,(
% 21.87/3.25 ~spl0_698),
% 21.87/3.25 inference(contradiction_clause,[status(thm)],[f19494])).
% 21.87/3.25 fof(f19499,plain,(
% 21.87/3.25 $false|~spl0_721),
% 21.87/3.25 inference(forward_subsumption_resolution,[status(thm)],[f19178,f4885])).
% 21.87/3.25 fof(f19500,plain,(
% 21.87/3.25 ~spl0_721),
% 21.87/3.25 inference(contradiction_clause,[status(thm)],[f19499])).
% 21.87/3.25 fof(f20060,plain,(
% 21.87/3.25 $false|spl0_7),
% 21.87/3.25 inference(forward_subsumption_resolution,[status(thm)],[f2345,f4832])).
% 21.87/3.25 fof(f20061,plain,(
% 21.87/3.25 spl0_7),
% 21.87/3.25 inference(contradiction_clause,[status(thm)],[f20060])).
% 21.87/3.25 fof(f20134,plain,(
% 21.87/3.25 spl0_767 <=> ~c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Int_OPls)),
% 21.87/3.25 introduced(split_symbol_definition)).
% 21.87/3.25 fof(f20135,plain,(
% 21.87/3.25 ![X0]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Int_OPls)|~spl0_767)),
% 21.87/3.25 inference(component_clause,[status(thm)],[f20134])).
% 21.87/3.25 fof(f20180,plain,(
% 21.87/3.25 spl0_768 <=> ~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)),
% 21.87/3.25 introduced(split_symbol_definition)).
% 21.87/3.25 fof(f20181,plain,(
% 21.87/3.25 ![X0,X1]: (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)|~spl0_768)),
% 21.87/3.25 inference(component_clause,[status(thm)],[f20180])).
% 21.87/3.25 fof(f20205,plain,(
% 21.87/3.25 $false|~spl0_768),
% 21.87/3.25 inference(backward_subsumption_resolution,[status(thm)],[f15693,f20181])).
% 21.87/3.25 fof(f20206,plain,(
% 21.87/3.25 ~spl0_768),
% 21.87/3.25 inference(contradiction_clause,[status(thm)],[f20205])).
% 21.87/3.25 fof(f20269,plain,(
% 21.87/3.25 spl0_777 <=> ~X0=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)|X1=X2),
% 21.87/3.25 introduced(split_symbol_definition)).
% 21.87/3.25 fof(f20270,plain,(
% 21.87/3.25 ![X0,X1,X2]: (~X0=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)|X1=X2|~spl0_777)),
% 21.87/3.25 inference(component_clause,[status(thm)],[f20269])).
% 21.87/3.25 fof(f20275,plain,(
% 21.87/3.25 ![X0,X1]: (X0=X1|~spl0_777)),
% 21.87/3.25 inference(destructive_equality_resolution,[status(esa)],[f20270])).
% 21.87/3.25 fof(f20284,plain,(
% 21.87/3.25 ![X0,X1]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)|~spl0_767)),
% 21.87/3.25 inference(backward_subsumption_resolution,[status(thm)],[f5199,f20135])).
% 21.87/3.25 fof(f20303,plain,(
% 21.87/3.25 $false|~spl0_777),
% 21.87/3.25 inference(backward_subsumption_resolution,[status(thm)],[f4320,f20275])).
% 21.87/3.25 fof(f20304,plain,(
% 21.87/3.25 ~spl0_777),
% 21.87/3.25 inference(contradiction_clause,[status(thm)],[f20303])).
% 21.87/3.25 fof(f20307,plain,(
% 21.87/3.25 ![X0,X1]: (c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)|~spl0_767)),
% 21.87/3.25 inference(backward_subsumption_resolution,[status(thm)],[f15844,f20284])).
% 21.87/3.25 fof(f20308,plain,(
% 21.87/3.25 $false|~spl0_767),
% 21.87/3.25 inference(forward_subsumption_resolution,[status(thm)],[f20307,f20284])).
% 21.87/3.25 fof(f20309,plain,(
% 21.87/3.25 ~spl0_767),
% 21.87/3.25 inference(contradiction_clause,[status(thm)],[f20308])).
% 21.87/3.25 fof(f20981,plain,(
% 21.87/3.25 spl0_783 <=> class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal)),
% 21.87/3.25 introduced(split_symbol_definition)).
% 21.87/3.25 fof(f20983,plain,(
% 21.87/3.25 ~class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal)|spl0_783),
% 21.87/3.25 inference(component_clause,[status(thm)],[f20981])).
% 21.87/3.25 fof(f20989,plain,(
% 21.87/3.25 spl0_785 <=> class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint)),
% 21.87/3.25 introduced(split_symbol_definition)).
% 21.87/3.25 fof(f20991,plain,(
% 21.87/3.25 ~class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint)|spl0_785),
% 21.87/3.25 inference(component_clause,[status(thm)],[f20989])).
% 21.87/3.25 fof(f20994,plain,(
% 21.87/3.25 $false|spl0_783),
% 21.87/3.25 inference(forward_subsumption_resolution,[status(thm)],[f20983,f4492])).
% 21.87/3.25 fof(f20995,plain,(
% 21.87/3.25 spl0_783),
% 21.87/3.25 inference(contradiction_clause,[status(thm)],[f20994])).
% 21.87/3.25 fof(f21868,plain,(
% 21.87/3.25 ~c_Int_Oiszero(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|~spl0_753),
% 21.87/3.25 inference(backward_demodulation,[status(thm)],[f19431,f18965])).
% 21.87/3.25 fof(f21869,plain,(
% 21.87/3.25 $false|~spl0_753),
% 21.87/3.25 inference(forward_subsumption_resolution,[status(thm)],[f21868,f18959])).
% 21.87/3.25 fof(f21870,plain,(
% 21.87/3.25 ~spl0_753),
% 21.87/3.25 inference(contradiction_clause,[status(thm)],[f21869])).
% 21.87/3.25 fof(f21901,plain,(
% 21.87/3.25 spl0_829 <=> c_Groups_Oone__class_Oone(tc_Nat_Onat)=c_Groups_Oone__class_Oone(tc_Nat_Onat)),
% 21.87/3.28 introduced(split_symbol_definition)).
% 21.87/3.28 fof(f21903,plain,(
% 21.87/3.28 ~c_Groups_Oone__class_Oone(tc_Nat_Onat)=c_Groups_Oone__class_Oone(tc_Nat_Onat)|spl0_829),
% 21.87/3.28 inference(component_clause,[status(thm)],[f21901])).
% 21.87/3.28 fof(f21906,plain,(
% 21.87/3.28 $false|spl0_829),
% 21.87/3.28 inference(trivial_equality_resolution,[status(esa)],[f21903])).
% 21.87/3.28 fof(f21907,plain,(
% 21.87/3.28 spl0_829),
% 21.87/3.28 inference(contradiction_clause,[status(thm)],[f21906])).
% 21.87/3.28 fof(f22133,plain,(
% 21.87/3.28 $false|spl0_785),
% 21.87/3.28 inference(forward_subsumption_resolution,[status(thm)],[f20991,f4401])).
% 21.87/3.28 fof(f22134,plain,(
% 21.87/3.28 spl0_785),
% 21.87/3.28 inference(contradiction_clause,[status(thm)],[f22133])).
% 21.87/3.28 fof(f22869,plain,(
% 21.87/3.28 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_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))|~spl0_593),
% 21.87/3.28 inference(forward_demodulation,[status(thm)],[f17291,f4976])).
% 21.87/3.28 fof(f22917,plain,(
% 21.87/3.28 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))|~spl0_593),
% 21.87/3.28 inference(backward_demodulation,[status(thm)],[f13164,f18527])).
% 21.87/3.28 fof(f22918,plain,(
% 21.87/3.28 ~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_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))|~spl0_237|~spl0_425|~spl0_424|~spl0_593),
% 21.87/3.28 inference(forward_demodulation,[status(thm)],[f14138,f22917])).
% 21.87/3.28 fof(f22919,plain,(
% 21.87/3.28 $false|~spl0_237|~spl0_425|~spl0_424|~spl0_593),
% 21.87/3.28 inference(forward_subsumption_resolution,[status(thm)],[f22918,f22869])).
% 21.87/3.28 fof(f22920,plain,(
% 21.87/3.28 ~spl0_237|~spl0_425|~spl0_424|~spl0_593),
% 21.87/3.28 inference(contradiction_clause,[status(thm)],[f22919])).
% 21.87/3.28 fof(f22921,plain,(
% 21.87/3.28 $false),
% 21.87/3.28 inference(sat_refutation,[status(thm)],[f4814,f4978,f7745,f7782,f11354,f12497,f12499,f13963,f17391,f17393,f17395,f17805,f18226,f18289,f18291,f18294,f18476,f18521,f18562,f18578,f19282,f19284,f19440,f19492,f19495,f19500,f20061,f20206,f20304,f20309,f20995,f21870,f21907,f22134,f22920])).
% 21.87/3.28 % SZS output end CNFRefutation for theBenchmark.p
% 22.63/3.29 % Elapsed time: 2.938977 seconds
% 22.63/3.29 % CPU time: 22.521084 seconds
% 22.63/3.29 % Memory used: 410.004 MB
%------------------------------------------------------------------------------