TSTP Solution File: SWW194+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWW194+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 12:44:27 EDT 2023
% Result : Theorem 102.96s 13.45s
% Output : CNFRefutation 103.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWW194+1 : TPTP v8.1.2. Released v5.2.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n019.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 10:53:56 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.44 % Drodi V3.5.1
% 102.96/13.45 % Refutation found
% 102.96/13.45 % SZS status Theorem for theBenchmark: Theorem is valid
% 102.96/13.45 % SZS output start CNFRefutation for theBenchmark
% 102.96/13.45 fof(f2,axiom,(
% 102.96/13.45 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),v_x____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
% 102.96/13.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.96/13.45 fof(f21,axiom,(
% 102.96/13.45 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 102.96/13.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.96/13.45 fof(f32,axiom,(
% 102.96/13.45 (! [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 ) ) )),
% 102.96/13.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.96/13.45 fof(f33,axiom,(
% 102.96/13.45 (! [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) ) ) )),
% 102.96/13.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.96/13.45 fof(f34,axiom,(
% 102.96/13.45 (! [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) ) )),
% 102.96/13.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.96/13.45 fof(f35,axiom,(
% 102.96/13.45 (! [V_w] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w,V_w) )),
% 102.96/13.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.96/13.45 fof(f37,axiom,(
% 102.96/13.45 (! [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) )),
% 102.96/13.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.96/13.45 fof(f55,axiom,(
% 102.96/13.45 v_z = c_Complex_Ocomplex_OComplex(v_x____,v_y____) ),
% 102.96/13.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.96/13.45 fof(f56,axiom,(
% 102.96/13.45 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 102.96/13.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.96/13.45 fof(f57,axiom,(
% 102.96/13.45 (! [V_k] : c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_k) = V_k )),
% 102.96/13.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.96/13.45 fof(f71,axiom,(
% 102.96/13.45 (! [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) ) )),
% 102.96/13.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.96/13.45 fof(f72,axiom,(
% 102.96/13.45 (! [V_w] : c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_w,V_w) )),
% 102.96/13.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.96/13.45 fof(f91,axiom,(
% 102.96/13.45 (! [V_k_2] :( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OBit1(V_k_2))<=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,V_k_2) ) )),
% 102.96/13.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.96/13.45 fof(f94,axiom,(
% 102.96/13.45 (! [V_k_2] :( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OBit0(V_k_2))<=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,V_k_2) ) )),
% 102.96/13.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.96/13.45 fof(f131,axiom,(
% 102.96/13.45 c_Groups_Oone__class_Oone(tc_Int_Oint) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit1(c_Int_OPls)) ),
% 102.96/13.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.96/13.45 fof(f134,axiom,(
% 102.96/13.45 c_Int_OBit0(c_Int_OPls) = c_Int_OPls ),
% 102.96/13.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.96/13.45 fof(f147,axiom,(
% 102.96/13.45 ~ (! [B_x,B_y] : v_z != c_Complex_Ocomplex_OComplex(B_x,B_y) )),
% 102.96/13.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.96/13.45 fof(f206,axiom,(
% 102.96/13.45 (! [V_n] : c_Nat_OSuc(V_n) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_n) )),
% 102.96/13.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.96/13.45 fof(f224,axiom,(
% 102.96/13.45 (! [V_b,V_n,V_a,T_a] :( class_Rings_Olinordered__semidom(T_a)=> ( c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Nat_OSuc(V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),c_Nat_OSuc(V_n)))=> ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)=> c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ) )),
% 103.50/13.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 103.50/13.47 fof(f235,axiom,(
% 103.50/13.47 (! [V_k] : c_Int_OBit1(V_k) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_k),V_k) )),
% 103.50/13.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 103.50/13.47 fof(f236,axiom,(
% 103.50/13.47 (! [V_k] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_k,c_Int_OPls) = V_k )),
% 103.50/13.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 103.50/13.47 fof(f249,axiom,(
% 103.50/13.47 c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 103.50/13.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 103.50/13.47 fof(f266,axiom,(
% 103.50/13.47 (! [V_a,T_a] :( class_Groups_Oordered__ab__group__add__abs(T_a)=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oabs__class_Oabs(T_a,V_a)) ) )),
% 103.50/13.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 103.50/13.47 fof(f272,axiom,(
% 103.50/13.47 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit1(c_Int_OPls)) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 103.50/13.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 103.50/13.47 fof(f288,axiom,(
% 103.50/13.47 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
% 103.50/13.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 103.50/13.47 fof(f317,axiom,(
% 103.50/13.47 (! [V_y,V_x] : c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(V_x,V_y)) = c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),V_x),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),V_y),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )),
% 103.50/13.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 103.50/13.47 fof(f361,axiom,(
% 103.50/13.47 (! [V_real2_H_2,V_real1_H_2,V_real2_2,V_real1_2] :( c_Complex_Ocomplex_OComplex(V_real1_2,V_real2_2) = c_Complex_Ocomplex_OComplex(V_real1_H_2,V_real2_H_2)<=> ( V_real1_2 = V_real1_H_2& V_real2_2 = V_real2_H_2 ) ) )),
% 103.50/13.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 103.50/13.47 fof(f377,axiom,(
% 103.50/13.47 (! [V_x,V_y] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_y,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),V_x),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),V_y),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )),
% 103.50/13.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 103.50/13.47 fof(f485,axiom,(
% 103.50/13.47 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ),
% 103.50/13.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 103.50/13.47 fof(f501,axiom,(
% 103.50/13.47 (! [V_n] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_n) )),
% 103.50/13.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 103.50/13.47 fof(f542,axiom,(
% 103.50/13.47 (! [V_m,V_n] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,V_m)) )),
% 103.50/13.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 103.50/13.47 fof(f603,axiom,(
% 103.50/13.47 (! [V_n] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n )),
% 103.50/13.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 103.50/13.47 fof(f964,axiom,(
% 103.50/13.47 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi) ),
% 103.50/13.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 103.50/13.47 fof(f965,axiom,(
% 103.50/13.47 c_Transcendental_Opi != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 103.50/13.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 103.50/13.47 fof(f989,axiom,(
% 103.50/13.47 c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ),
% 103.50/13.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 103.50/13.47 fof(f1005,axiom,(
% 103.50/13.47 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ),
% 103.50/13.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 103.50/13.47 fof(f1006,axiom,(
% 103.50/13.47 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ),
% 103.50/13.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 103.50/13.47 fof(f1007,axiom,(
% 103.50/13.47 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ),
% 103.50/13.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 103.50/13.47 fof(f1015,axiom,(
% 103.50/13.47 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ),
% 103.50/13.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 103.50/13.47 fof(f1025,axiom,(
% 103.50/13.47 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ),
% 103.50/13.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 103.50/13.47 fof(f1030,axiom,(
% 103.50/13.47 class_Groups_Oab__group__add(tc_Int_Oint) ),
% 103.50/13.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 103.50/13.47 fof(f1031,axiom,(
% 103.50/13.47 class_Rings_Ozero__neq__one(tc_Int_Oint) ),
% 103.50/13.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 103.50/13.47 fof(f1037,axiom,(
% 103.50/13.47 class_Groups_Omonoid__add(tc_Int_Oint) ),
% 103.50/13.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 103.50/13.47 fof(f1040,axiom,(
% 103.50/13.47 class_Groups_Ogroup__add(tc_Int_Oint) ),
% 103.50/13.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 103.50/13.47 fof(f1059,axiom,(
% 103.50/13.47 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ),
% 103.50/13.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 103.50/13.47 fof(f1071,axiom,(
% 103.50/13.47 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ),
% 103.50/13.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 103.50/13.47 fof(f1076,axiom,(
% 103.50/13.47 class_Orderings_Olinorder(tc_Nat_Onat) ),
% 103.50/13.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 103.50/13.47 fof(f1078,axiom,(
% 103.50/13.47 class_Groups_Omonoid__add(tc_Nat_Onat) ),
% 103.50/13.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 103.50/13.47 fof(f1101,axiom,(
% 103.50/13.47 class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ),
% 103.50/13.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 103.50/13.47 fof(f1103,axiom,(
% 103.50/13.47 class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 103.50/13.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 103.50/13.47 fof(f1105,axiom,(
% 103.50/13.47 class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal) ),
% 103.50/13.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 103.50/13.47 fof(f1106,axiom,(
% 103.50/13.47 class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal) ),
% 103.50/13.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 103.50/13.47 fof(f1116,axiom,(
% 103.50/13.47 class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal) ),
% 103.50/13.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 103.50/13.47 fof(f1120,axiom,(
% 103.50/13.47 class_Rings_Olinordered__semidom(tc_RealDef_Oreal) ),
% 103.50/13.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 103.50/13.47 fof(f1136,axiom,(
% 103.50/13.47 class_Rings_Ozero__neq__one(tc_RealDef_Oreal) ),
% 103.50/13.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 103.50/13.47 fof(f1139,axiom,(
% 103.50/13.47 class_Orderings_Olinorder(tc_RealDef_Oreal) ),
% 103.50/13.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 103.50/13.47 fof(f1199,conjecture,(
% 103.50/13.47 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),v_x____))),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
% 103.50/13.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 103.50/13.47 fof(f1200,negated_conjecture,(
% 103.50/13.47 ~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),v_x____))),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )),
% 103.50/13.47 inference(negated_conjecture,[status(cth)],[f1199])).
% 103.50/13.47 fof(f1204,plain,(
% 103.50/13.47 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),v_x____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f2])).
% 103.50/13.47 fof(f1242,plain,(
% 103.50/13.47 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit1(c_Int_OPls))=c_Groups_Oone__class_Oone(tc_Nat_Onat)),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f21])).
% 103.50/13.47 fof(f1271,plain,(
% 103.50/13.47 ![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))),
% 103.50/13.47 inference(pre_NNF_transformation,[status(esa)],[f32])).
% 103.50/13.47 fof(f1272,plain,(
% 103.50/13.47 ![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)),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f1271])).
% 103.50/13.47 fof(f1273,plain,(
% 103.50/13.47 ![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)))),
% 103.50/13.47 inference(pre_NNF_transformation,[status(esa)],[f33])).
% 103.50/13.47 fof(f1274,plain,(
% 103.50/13.47 ![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))))),
% 103.50/13.47 inference(miniscoping,[status(esa)],[f1273])).
% 103.50/13.47 fof(f1275,plain,(
% 103.50/13.47 ![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))),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f1274])).
% 103.50/13.47 fof(f1276,plain,(
% 103.50/13.47 ![X0,X1]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0))),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f34])).
% 103.50/13.47 fof(f1277,plain,(
% 103.50/13.47 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X0))),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f35])).
% 103.50/13.47 fof(f1279,plain,(
% 103.50/13.47 ![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))),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f37])).
% 103.50/13.47 fof(f1326,plain,(
% 103.50/13.47 v_z=c_Complex_Ocomplex_OComplex(v_x____,v_y____)),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f55])).
% 103.50/13.47 fof(f1327,plain,(
% 103.50/13.47 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f56])).
% 103.50/13.47 fof(f1328,plain,(
% 103.50/13.47 ![X0]: (c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X0)=X0)),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f57])).
% 103.50/13.47 fof(f1366,plain,(
% 103.50/13.47 ![X0,X1]: (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)|c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0))),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f71])).
% 103.50/13.47 fof(f1367,plain,(
% 103.50/13.47 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X0))),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f72])).
% 103.50/13.47 fof(f1429,plain,(
% 103.50/13.47 ![V_k_2]: ((~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OBit1(V_k_2))|c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,V_k_2))&(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OBit1(V_k_2))|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,V_k_2)))),
% 103.50/13.47 inference(NNF_transformation,[status(esa)],[f91])).
% 103.50/13.47 fof(f1430,plain,(
% 103.50/13.47 (![V_k_2]: (~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OBit1(V_k_2))|c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,V_k_2)))&(![V_k_2]: (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OBit1(V_k_2))|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,V_k_2)))),
% 103.50/13.47 inference(miniscoping,[status(esa)],[f1429])).
% 103.50/13.47 fof(f1431,plain,(
% 103.50/13.47 ![X0]: (~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OBit1(X0))|c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X0))),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f1430])).
% 103.50/13.47 fof(f1441,plain,(
% 103.50/13.47 ![V_k_2]: ((~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OBit0(V_k_2))|c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,V_k_2))&(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OBit0(V_k_2))|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,V_k_2)))),
% 103.50/13.47 inference(NNF_transformation,[status(esa)],[f94])).
% 103.50/13.47 fof(f1442,plain,(
% 103.50/13.47 (![V_k_2]: (~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OBit0(V_k_2))|c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,V_k_2)))&(![V_k_2]: (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OBit0(V_k_2))|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,V_k_2)))),
% 103.50/13.47 inference(miniscoping,[status(esa)],[f1441])).
% 103.50/13.47 fof(f1443,plain,(
% 103.50/13.47 ![X0]: (~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OBit0(X0))|c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X0))),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f1442])).
% 103.50/13.47 fof(f1555,plain,(
% 103.50/13.47 c_Groups_Oone__class_Oone(tc_Int_Oint)=c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit1(c_Int_OPls))),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f131])).
% 103.50/13.47 fof(f1558,plain,(
% 103.50/13.47 c_Int_OBit0(c_Int_OPls)=c_Int_OPls),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f134])).
% 103.50/13.47 fof(f1587,plain,(
% 103.50/13.47 (?[B_x,B_y]: v_z=c_Complex_Ocomplex_OComplex(B_x,B_y))),
% 103.50/13.47 inference(pre_NNF_transformation,[status(esa)],[f147])).
% 103.50/13.47 fof(f1588,plain,(
% 103.50/13.47 v_z=c_Complex_Ocomplex_OComplex(sk0_1,sk0_2)),
% 103.50/13.47 inference(skolemization,[status(esa)],[f1587])).
% 103.50/13.47 fof(f1589,plain,(
% 103.50/13.47 v_z=c_Complex_Ocomplex_OComplex(sk0_1,sk0_2)),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f1588])).
% 103.50/13.47 fof(f1719,plain,(
% 103.50/13.47 ![X0]: (c_Nat_OSuc(X0)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0))),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f206])).
% 103.50/13.47 fof(f1778,plain,(
% 103.50/13.47 ![V_b,V_n,V_a,T_a]: (~class_Rings_Olinordered__semidom(T_a)|(~c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Nat_OSuc(V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),c_Nat_OSuc(V_n)))|(~c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)|c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b))))),
% 103.50/13.47 inference(pre_NNF_transformation,[status(esa)],[f224])).
% 103.50/13.47 fof(f1779,plain,(
% 103.50/13.47 ![T_a]: (~class_Rings_Olinordered__semidom(T_a)|(![V_b,V_a]: ((![V_n]: ~c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Nat_OSuc(V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),c_Nat_OSuc(V_n))))|(~c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)|c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)))))),
% 103.50/13.47 inference(miniscoping,[status(esa)],[f1778])).
% 103.50/13.47 fof(f1780,plain,(
% 103.50/13.47 ![X0,X1,X2,X3]: (~class_Rings_Olinordered__semidom(X0)|~c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),c_Nat_OSuc(X2)))|~c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)|c_Orderings_Oord__class_Oless__eq(X0,X1,X3))),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f1779])).
% 103.50/13.47 fof(f1804,plain,(
% 103.50/13.47 ![X0]: (c_Int_OBit1(X0)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0),X0))),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f235])).
% 103.50/13.47 fof(f1805,plain,(
% 103.50/13.47 ![X0]: (c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Int_OPls)=X0)),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f236])).
% 103.50/13.47 fof(f1838,plain,(
% 103.50/13.47 c_Int_OPls=c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f249])).
% 103.50/13.47 fof(f1896,plain,(
% 103.50/13.47 ![V_a,T_a]: (~class_Groups_Oordered__ab__group__add__abs(T_a)|c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oabs__class_Oabs(T_a,V_a)))),
% 103.50/13.47 inference(pre_NNF_transformation,[status(esa)],[f266])).
% 103.50/13.47 fof(f1897,plain,(
% 103.50/13.47 ![T_a]: (~class_Groups_Oordered__ab__group__add__abs(T_a)|(![V_a]: c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oabs__class_Oabs(T_a,V_a))))),
% 103.50/13.47 inference(miniscoping,[status(esa)],[f1896])).
% 103.50/13.47 fof(f1898,plain,(
% 103.50/13.47 ![X0,X1]: (~class_Groups_Oordered__ab__group__add__abs(X0)|c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oabs__class_Oabs(X0,X1)))),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f1897])).
% 103.50/13.47 fof(f1906,plain,(
% 103.50/13.47 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit1(c_Int_OPls))=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f272])).
% 103.50/13.47 fof(f1949,plain,(
% 103.50/13.47 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))=c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f288])).
% 103.50/13.47 fof(f2013,plain,(
% 103.50/13.47 ![X0,X1]: (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(X0,X1))=c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f317])).
% 103.50/13.47 fof(f2151,plain,(
% 103.50/13.47 ![V_real2_H_2,V_real1_H_2,V_real2_2,V_real1_2]: ((~c_Complex_Ocomplex_OComplex(V_real1_2,V_real2_2)=c_Complex_Ocomplex_OComplex(V_real1_H_2,V_real2_H_2)|(V_real1_2=V_real1_H_2&V_real2_2=V_real2_H_2))&(c_Complex_Ocomplex_OComplex(V_real1_2,V_real2_2)=c_Complex_Ocomplex_OComplex(V_real1_H_2,V_real2_H_2)|(~V_real1_2=V_real1_H_2|~V_real2_2=V_real2_H_2)))),
% 103.50/13.47 inference(NNF_transformation,[status(esa)],[f361])).
% 103.50/13.47 fof(f2152,plain,(
% 103.50/13.47 (![V_real2_H_2,V_real1_H_2,V_real2_2,V_real1_2]: (~c_Complex_Ocomplex_OComplex(V_real1_2,V_real2_2)=c_Complex_Ocomplex_OComplex(V_real1_H_2,V_real2_H_2)|(V_real1_2=V_real1_H_2&V_real2_2=V_real2_H_2)))&(![V_real2_H_2,V_real1_H_2,V_real2_2,V_real1_2]: (c_Complex_Ocomplex_OComplex(V_real1_2,V_real2_2)=c_Complex_Ocomplex_OComplex(V_real1_H_2,V_real2_H_2)|(~V_real1_2=V_real1_H_2|~V_real2_2=V_real2_H_2)))),
% 103.50/13.47 inference(miniscoping,[status(esa)],[f2151])).
% 103.50/13.47 fof(f2154,plain,(
% 103.50/13.47 ![X0,X1,X2,X3]: (~c_Complex_Ocomplex_OComplex(X0,X1)=c_Complex_Ocomplex_OComplex(X2,X3)|X1=X3)),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f2152])).
% 103.50/13.47 fof(f2197,plain,(
% 103.50/13.47 ![X0,X1]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))))),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f377])).
% 103.50/13.47 fof(f2535,plain,(
% 103.50/13.47 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f485])).
% 103.50/13.47 fof(f2572,plain,(
% 103.50/13.47 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X0))),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f501])).
% 103.50/13.47 fof(f2655,plain,(
% 103.50/13.47 ![X0,X1]: (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1)))),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f542])).
% 103.50/13.47 fof(f2822,plain,(
% 103.50/13.47 ![X0]: (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X0),c_Groups_Oone__class_Oone(tc_Nat_Onat))=X0)),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f603])).
% 103.50/13.47 fof(f4152,plain,(
% 103.50/13.47 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi)),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f964])).
% 103.50/13.47 fof(f4153,plain,(
% 103.50/13.47 ~c_Transcendental_Opi=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f965])).
% 103.50/13.47 fof(f4235,plain,(
% 103.50/13.47 c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f989])).
% 103.50/13.47 fof(f4273,plain,(
% 103.50/13.47 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint)),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f1005])).
% 103.50/13.47 fof(f4274,plain,(
% 103.50/13.47 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint)),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f1006])).
% 103.50/13.47 fof(f4275,plain,(
% 103.50/13.47 class_Groups_Olinordered__ab__group__add(tc_Int_Oint)),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f1007])).
% 103.50/13.47 fof(f4283,plain,(
% 103.50/13.47 class_Groups_Oordered__ab__group__add(tc_Int_Oint)),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f1015])).
% 103.50/13.47 fof(f4293,plain,(
% 103.50/13.47 class_Groups_Ocomm__monoid__add(tc_Int_Oint)),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f1025])).
% 103.50/13.47 fof(f4298,plain,(
% 103.50/13.47 class_Groups_Oab__group__add(tc_Int_Oint)),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f1030])).
% 103.50/13.47 fof(f4299,plain,(
% 103.50/13.47 class_Rings_Ozero__neq__one(tc_Int_Oint)),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f1031])).
% 103.50/13.47 fof(f4305,plain,(
% 103.50/13.47 class_Groups_Omonoid__add(tc_Int_Oint)),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f1037])).
% 103.50/13.47 fof(f4308,plain,(
% 103.50/13.47 class_Groups_Ogroup__add(tc_Int_Oint)),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f1040])).
% 103.50/13.47 fof(f4327,plain,(
% 103.50/13.47 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat)),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f1059])).
% 103.50/13.47 fof(f4339,plain,(
% 103.50/13.47 class_Groups_Ocomm__monoid__add(tc_Nat_Onat)),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f1071])).
% 103.50/13.47 fof(f4344,plain,(
% 103.50/13.47 class_Orderings_Olinorder(tc_Nat_Onat)),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f1076])).
% 103.50/13.47 fof(f4346,plain,(
% 103.50/13.47 class_Groups_Omonoid__add(tc_Nat_Onat)),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f1078])).
% 103.50/13.47 fof(f4369,plain,(
% 103.50/13.47 class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal)),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f1101])).
% 103.50/13.47 fof(f4371,plain,(
% 103.50/13.47 class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal)),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f1103])).
% 103.50/13.47 fof(f4373,plain,(
% 103.50/13.47 class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal)),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f1105])).
% 103.50/13.47 fof(f4374,plain,(
% 103.50/13.47 class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal)),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f1106])).
% 103.50/13.47 fof(f4384,plain,(
% 103.50/13.47 class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal)),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f1116])).
% 103.50/13.47 fof(f4388,plain,(
% 103.50/13.47 class_Rings_Olinordered__semidom(tc_RealDef_Oreal)),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f1120])).
% 103.50/13.47 fof(f4404,plain,(
% 103.50/13.47 class_Rings_Ozero__neq__one(tc_RealDef_Oreal)),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f1136])).
% 103.50/13.47 fof(f4407,plain,(
% 103.50/13.47 class_Orderings_Olinorder(tc_RealDef_Oreal)),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f1139])).
% 103.50/13.47 fof(f4467,plain,(
% 103.50/13.47 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),v_x____))),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),
% 103.50/13.47 inference(cnf_transformation,[status(esa)],[f1200])).
% 103.50/13.47 fof(f4587,plain,(
% 103.50/13.47 c_Groups_Oone__class_Oone(tc_Nat_Onat)=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
% 103.50/13.47 inference(forward_demodulation,[status(thm)],[f1242,f1906])).
% 103.50/13.47 fof(f4588,plain,(
% 103.50/13.47 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))=c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))),
% 103.50/13.47 inference(forward_demodulation,[status(thm)],[f4587,f1949])).
% 103.50/13.47 fof(f4593,plain,(
% 103.50/13.47 ![X0,X1]: (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(X0,X1))=c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))),
% 103.50/13.47 inference(forward_demodulation,[status(thm)],[f4588,f2013])).
% 103.50/13.47 fof(f4594,plain,(
% 103.50/13.47 ![X0,X1]: (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(X0,X1))=c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X1),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))))))),
% 103.50/13.47 inference(forward_demodulation,[status(thm)],[f4588,f4593])).
% 103.50/13.47 fof(f4642,plain,(
% 103.50/13.47 ![X0,X1]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X1),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))))),
% 103.50/13.47 inference(forward_demodulation,[status(thm)],[f4588,f2197])).
% 103.50/13.47 fof(f4643,plain,(
% 103.50/13.47 ![X0,X1]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X1),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat)))))))),
% 103.50/13.47 inference(forward_demodulation,[status(thm)],[f4588,f4642])).
% 103.50/13.47 fof(f4644,plain,(
% 103.50/13.47 ![X0,X1]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(X1,X0))))),
% 103.50/13.47 inference(forward_demodulation,[status(thm)],[f4594,f4643])).
% 103.50/13.47 fof(f4687,plain,(
% 103.50/13.47 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))),
% 103.50/13.47 inference(forward_demodulation,[status(thm)],[f1838,f2535])).
% 103.50/13.47 fof(f4688,plain,(
% 103.50/13.47 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),
% 103.50/13.47 inference(forward_demodulation,[status(thm)],[f1328,f4687])).
% 103.50/13.47 fof(f4794,plain,(
% 103.50/13.47 c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint))),
% 103.50/13.47 inference(forward_demodulation,[status(thm)],[f1838,f4235])).
% 103.50/13.47 fof(f4795,plain,(
% 103.50/13.47 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_x____),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),
% 103.50/13.47 inference(forward_demodulation,[status(thm)],[f1279,f4467])).
% 103.50/13.47 fof(f4796,plain,(
% 103.50/13.47 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_x____),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),
% 103.50/13.47 inference(forward_demodulation,[status(thm)],[f4588,f4795])).
% 103.50/13.47 fof(f4797,plain,(
% 103.50/13.47 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_x____),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
% 103.50/13.47 inference(forward_demodulation,[status(thm)],[f4588,f4796])).
% 103.50/13.47 fof(f4866,plain,(
% 103.50/13.47 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_x____),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
% 103.50/13.47 inference(resolution,[status(thm)],[f1276,f4797])).
% 103.50/13.47 fof(f4908,plain,(
% 103.50/13.47 spl0_11 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),v_x____)))),
% 103.50/13.47 introduced(split_symbol_definition)).
% 103.50/13.47 fof(f4910,plain,(
% 103.50/13.47 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),v_x____)))|spl0_11),
% 103.50/13.47 inference(component_clause,[status(thm)],[f4908])).
% 103.50/13.47 fof(f4911,plain,(
% 103.50/13.47 spl0_12 <=> c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),v_x____))),
% 103.50/13.47 introduced(split_symbol_definition)).
% 103.50/13.47 fof(f4912,plain,(
% 103.50/13.47 c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),v_x____))|~spl0_12),
% 103.50/13.47 inference(component_clause,[status(thm)],[f4911])).
% 103.50/13.47 fof(f4913,plain,(
% 103.50/13.47 ~c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),v_x____))|spl0_12),
% 103.50/13.47 inference(component_clause,[status(thm)],[f4911])).
% 103.50/13.47 fof(f4914,plain,(
% 103.50/13.47 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),v_x____)))|c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),v_x____))),
% 103.50/13.47 inference(resolution,[status(thm)],[f1272,f1204])).
% 103.50/13.47 fof(f4915,plain,(
% 103.50/13.47 ~spl0_11|spl0_12),
% 103.50/13.47 inference(split_clause,[status(thm)],[f4914,f4908,f4911])).
% 103.50/13.47 fof(f4916,plain,(
% 103.50/13.47 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_x____),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))|spl0_11),
% 103.50/13.47 inference(forward_demodulation,[status(thm)],[f1279,f4910])).
% 103.50/13.47 fof(f4921,plain,(
% 103.50/13.47 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_x____),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|spl0_11),
% 103.50/13.47 inference(resolution,[status(thm)],[f4916,f1276])).
% 103.50/13.47 fof(f4976,plain,(
% 103.50/13.47 spl0_21 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_x____),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))),
% 103.50/13.47 introduced(split_symbol_definition)).
% 103.50/13.47 fof(f4979,plain,(
% 103.50/13.47 spl0_22 <=> c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_x____),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),
% 103.50/13.47 introduced(split_symbol_definition)).
% 103.50/13.47 fof(f4980,plain,(
% 103.50/13.47 c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_x____),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))|~spl0_22),
% 103.50/13.47 inference(component_clause,[status(thm)],[f4979])).
% 103.50/13.47 fof(f4982,plain,(
% 103.50/13.47 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_x____),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))|c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_x____),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))|spl0_11),
% 103.50/13.47 inference(resolution,[status(thm)],[f4921,f1272])).
% 103.50/13.47 fof(f4983,plain,(
% 103.50/13.47 ~spl0_21|spl0_22|spl0_11),
% 103.50/13.47 inference(split_clause,[status(thm)],[f4982,f4976,f4979,f4908])).
% 103.50/13.47 fof(f4984,plain,(
% 103.50/13.47 c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_x____),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))|~spl0_12),
% 103.50/13.47 inference(forward_demodulation,[status(thm)],[f1279,f4912])).
% 103.50/13.47 fof(f4988,plain,(
% 103.50/13.47 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))))|~spl0_12),
% 103.50/13.47 inference(backward_demodulation,[status(thm)],[f4984,f4797])).
% 103.50/13.47 fof(f4989,plain,(
% 103.50/13.47 $false|~spl0_12),
% 103.50/13.47 inference(forward_subsumption_resolution,[status(thm)],[f4988,f1277])).
% 103.50/13.47 fof(f4990,plain,(
% 103.50/13.47 ~spl0_12),
% 103.50/13.47 inference(contradiction_clause,[status(thm)],[f4989])).
% 103.50/13.47 fof(f4991,plain,(
% 103.50/13.47 ~c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_x____),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))|spl0_12),
% 103.50/13.47 inference(forward_demodulation,[status(thm)],[f1279,f4913])).
% 103.50/13.47 fof(f5002,plain,(
% 103.50/13.47 ![X0,X1,X2]: (~c_Orderings_Oord__class_Oless__eq(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))),
% 103.50/13.47 inference(resolution,[status(thm)],[f1275,f1276])).
% 103.50/13.47 fof(f5008,plain,(
% 103.50/13.47 ![X0]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_x____),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))),X0)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),
% 103.50/13.47 inference(resolution,[status(thm)],[f1275,f4797])).
% 103.50/13.47 fof(f5014,plain,(
% 103.50/13.47 ![X0,X1,X2]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(X2,X1))))),
% 103.50/13.47 inference(resolution,[status(thm)],[f4644,f1275])).
% 103.50/13.47 fof(f5055,plain,(
% 103.50/13.47 $false|spl0_12|~spl0_22),
% 103.50/13.47 inference(forward_subsumption_resolution,[status(thm)],[f4980,f4991])).
% 103.50/13.47 fof(f5056,plain,(
% 103.50/13.47 spl0_12|~spl0_22),
% 103.50/13.47 inference(contradiction_clause,[status(thm)],[f5055])).
% 103.50/13.47 fof(f6651,plain,(
% 103.50/13.47 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OBit1(c_Int_OPls))),
% 103.50/13.47 inference(resolution,[status(thm)],[f1431,f4688])).
% 103.50/13.47 fof(f6668,plain,(
% 103.50/13.47 spl0_146 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OPls)),
% 103.50/13.47 introduced(split_symbol_definition)).
% 103.50/13.47 fof(f9340,plain,(
% 103.50/13.47 spl0_327 <=> ~X1=c_Groups_Oone__class_Oone(tc_Int_Oint)),
% 103.50/13.47 introduced(split_symbol_definition)).
% 103.50/13.47 fof(f9341,plain,(
% 103.50/13.47 ![X0]: (~X0=c_Groups_Oone__class_Oone(tc_Int_Oint)|~spl0_327)),
% 103.50/13.47 inference(component_clause,[status(thm)],[f9340])).
% 103.50/13.47 fof(f11698,plain,(
% 103.50/13.47 spl0_417 <=> ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(X0,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_x____),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
% 103.50/13.47 introduced(split_symbol_definition)).
% 103.50/13.47 fof(f11726,plain,(
% 103.50/13.47 c_Int_OBit1(c_Int_OPls)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls)),
% 103.50/13.47 inference(paramodulation,[status(thm)],[f1805,f1804])).
% 103.50/13.47 fof(f12942,plain,(
% 103.50/13.47 c_Int_OBit1(c_Int_OPls)=c_Groups_Oone__class_Oone(tc_Int_Oint)),
% 103.50/13.47 inference(paramodulation,[status(thm)],[f1805,f11726])).
% 103.50/13.47 fof(f12955,plain,(
% 103.50/13.47 c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Int_OBit1(c_Int_OPls))),
% 103.50/13.47 inference(backward_demodulation,[status(thm)],[f12942,f4794])).
% 103.50/13.47 fof(f13307,plain,(
% 103.50/13.47 spl0_538 <=> class_Rings_Olinordered__semidom(tc_RealDef_Oreal)),
% 103.50/13.47 introduced(split_symbol_definition)).
% 103.50/13.47 fof(f13309,plain,(
% 103.50/13.47 ~class_Rings_Olinordered__semidom(tc_RealDef_Oreal)|spl0_538),
% 103.50/13.47 inference(component_clause,[status(thm)],[f13307])).
% 103.50/13.47 fof(f13342,plain,(
% 103.50/13.47 $false|spl0_538),
% 103.50/13.47 inference(forward_subsumption_resolution,[status(thm)],[f13309,f4388])).
% 103.50/13.47 fof(f13343,plain,(
% 103.50/13.47 spl0_538),
% 103.50/13.47 inference(contradiction_clause,[status(thm)],[f13342])).
% 103.50/13.47 fof(f16412,plain,(
% 103.50/13.47 spl0_763 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_y____,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 103.50/13.47 introduced(split_symbol_definition)).
% 103.50/13.47 fof(f16414,plain,(
% 103.50/13.47 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_y____,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|spl0_763),
% 103.50/13.47 inference(component_clause,[status(thm)],[f16412])).
% 103.50/13.47 fof(f16749,plain,(
% 103.50/13.47 spl0_792 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
% 103.50/13.47 introduced(split_symbol_definition)).
% 103.50/13.47 fof(f16751,plain,(
% 103.50/13.47 ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))))|spl0_792),
% 103.50/13.47 inference(component_clause,[status(thm)],[f16749])).
% 103.50/13.47 fof(f20155,plain,(
% 103.50/13.47 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(X0),c_Int_OPls)|c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X0))),
% 103.50/13.47 inference(resolution,[status(thm)],[f1366,f1443])).
% 103.50/13.47 fof(f20402,plain,(
% 103.50/13.47 ![X0]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_x____),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))),X0)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))),X0))),
% 103.50/13.47 inference(resolution,[status(thm)],[f4797,f5002])).
% 103.50/13.47 fof(f20409,plain,(
% 103.50/13.47 ![X0,X1]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(X0,X1)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_x____),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))),X1))),
% 103.50/13.47 inference(resolution,[status(thm)],[f5008,f5014])).
% 103.50/13.47 fof(f20420,plain,(
% 103.50/13.47 ![X0,X1]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_x____),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))),X1)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1))),
% 103.50/13.47 inference(resolution,[status(thm)],[f5008,f5002])).
% 103.50/13.47 fof(f20444,plain,(
% 103.50/13.47 ![X0,X1]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))),X0)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_x____),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))),X1)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1))),
% 103.50/13.47 inference(resolution,[status(thm)],[f20402,f5002])).
% 103.50/13.47 fof(f24066,plain,(
% 103.50/13.47 spl0_1471 <=> ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_x____),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
% 103.50/13.47 introduced(split_symbol_definition)).
% 103.50/13.47 fof(f24086,plain,(
% 103.50/13.47 ![X0,X1]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_x____),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),
% 103.50/13.47 inference(resolution,[status(thm)],[f20420,f1276])).
% 103.50/13.47 fof(f24107,plain,(
% 103.50/13.47 spl0_1474 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))),X0)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_x____),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
% 103.50/13.47 introduced(split_symbol_definition)).
% 103.50/13.47 fof(f24129,plain,(
% 103.50/13.47 ![X0,X1]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))),X0)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_x____),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),
% 103.50/13.47 inference(resolution,[status(thm)],[f20444,f1276])).
% 103.50/13.47 fof(f24181,plain,(
% 103.50/13.47 ![X0,X1]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(X0,X1)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_x____),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),
% 103.50/13.47 inference(resolution,[status(thm)],[f20409,f1276])).
% 103.50/13.47 fof(f24424,plain,(
% 103.50/13.47 spl0_1497 <=> class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint)),
% 103.50/13.47 introduced(split_symbol_definition)).
% 103.50/13.47 fof(f24426,plain,(
% 103.50/13.47 ~class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint)|spl0_1497),
% 103.50/13.47 inference(component_clause,[status(thm)],[f24424])).
% 103.50/13.47 fof(f24440,plain,(
% 103.50/13.47 spl0_1501 <=> class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal)),
% 103.50/13.47 introduced(split_symbol_definition)).
% 103.50/13.47 fof(f24442,plain,(
% 103.50/13.47 ~class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal)|spl0_1501),
% 103.50/13.47 inference(component_clause,[status(thm)],[f24440])).
% 103.50/13.47 fof(f24473,plain,(
% 103.50/13.47 $false|spl0_1501),
% 103.50/13.47 inference(forward_subsumption_resolution,[status(thm)],[f24442,f4371])).
% 103.50/13.47 fof(f24474,plain,(
% 103.50/13.47 spl0_1501),
% 103.50/13.47 inference(contradiction_clause,[status(thm)],[f24473])).
% 103.50/13.47 fof(f24475,plain,(
% 103.50/13.47 $false|spl0_1497),
% 103.50/13.47 inference(forward_subsumption_resolution,[status(thm)],[f24426,f4273])).
% 103.50/13.47 fof(f24476,plain,(
% 103.50/13.47 spl0_1497),
% 103.50/13.47 inference(contradiction_clause,[status(thm)],[f24475])).
% 103.50/13.47 fof(f24696,plain,(
% 103.50/13.47 spl0_1524 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi)),
% 103.50/13.47 introduced(split_symbol_definition)).
% 103.50/13.47 fof(f24698,plain,(
% 103.50/13.47 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi)|spl0_1524),
% 103.50/13.47 inference(component_clause,[status(thm)],[f24696])).
% 103.50/13.47 fof(f24727,plain,(
% 103.50/13.47 $false|spl0_1524),
% 103.50/13.47 inference(forward_subsumption_resolution,[status(thm)],[f24698,f4152])).
% 103.50/13.47 fof(f24728,plain,(
% 103.50/13.47 spl0_1524),
% 103.50/13.47 inference(contradiction_clause,[status(thm)],[f24727])).
% 103.50/13.47 fof(f24737,plain,(
% 103.50/13.47 ![X0,X1]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_x____),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_x____),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),
% 103.50/13.47 inference(resolution,[status(thm)],[f24086,f20420])).
% 103.50/13.47 fof(f24738,plain,(
% 103.50/13.47 spl0_1471),
% 103.50/13.47 inference(split_clause,[status(thm)],[f24737,f24066])).
% 103.50/13.47 fof(f24753,plain,(
% 103.50/13.47 ![X0,X1]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))),X0)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_x____),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))),X1)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_x____),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),
% 103.50/13.47 inference(resolution,[status(thm)],[f24129,f20444])).
% 103.50/13.47 fof(f24754,plain,(
% 103.50/13.47 spl0_1474),
% 103.50/13.47 inference(split_clause,[status(thm)],[f24753,f24107])).
% 103.50/13.47 fof(f24886,plain,(
% 103.50/13.47 spl0_1544 <=> class_Orderings_Olinorder(tc_Nat_Onat)),
% 103.50/13.47 introduced(split_symbol_definition)).
% 103.50/13.47 fof(f24888,plain,(
% 103.50/13.47 ~class_Orderings_Olinorder(tc_Nat_Onat)|spl0_1544),
% 103.50/13.47 inference(component_clause,[status(thm)],[f24886])).
% 103.50/13.47 fof(f24893,plain,(
% 103.50/13.47 $false|spl0_1544),
% 103.50/13.47 inference(forward_subsumption_resolution,[status(thm)],[f24888,f4344])).
% 103.50/13.47 fof(f24894,plain,(
% 103.50/13.47 spl0_1544),
% 103.50/13.47 inference(contradiction_clause,[status(thm)],[f24893])).
% 103.50/13.47 fof(f24898,plain,(
% 103.50/13.47 spl0_1546 <=> class_Orderings_Olinorder(tc_RealDef_Oreal)),
% 103.50/13.47 introduced(split_symbol_definition)).
% 103.50/13.47 fof(f24900,plain,(
% 103.50/13.47 ~class_Orderings_Olinorder(tc_RealDef_Oreal)|spl0_1546),
% 103.50/13.47 inference(component_clause,[status(thm)],[f24898])).
% 103.50/13.47 fof(f24905,plain,(
% 103.50/13.47 $false|spl0_1546),
% 103.50/13.47 inference(forward_subsumption_resolution,[status(thm)],[f24900,f4407])).
% 103.50/13.47 fof(f24906,plain,(
% 103.50/13.47 spl0_1546),
% 103.50/13.47 inference(contradiction_clause,[status(thm)],[f24905])).
% 103.50/13.47 fof(f25462,plain,(
% 103.50/13.47 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_y____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z))),
% 103.50/13.47 inference(paramodulation,[status(thm)],[f1326,f4644])).
% 103.50/13.47 fof(f25463,plain,(
% 103.50/13.47 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_y____,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 103.50/13.47 inference(forward_demodulation,[status(thm)],[f1327,f25462])).
% 103.50/13.47 fof(f25464,plain,(
% 103.50/13.47 $false|spl0_763),
% 103.50/13.47 inference(forward_subsumption_resolution,[status(thm)],[f25463,f16414])).
% 103.50/13.47 fof(f25465,plain,(
% 103.50/13.47 spl0_763),
% 103.50/13.47 inference(contradiction_clause,[status(thm)],[f25464])).
% 103.50/13.47 fof(f27157,plain,(
% 103.50/13.47 spl0_1556 <=> class_Groups_Oordered__ab__group__add(tc_Int_Oint)),
% 103.50/13.47 introduced(split_symbol_definition)).
% 103.50/13.47 fof(f27159,plain,(
% 103.50/13.47 ~class_Groups_Oordered__ab__group__add(tc_Int_Oint)|spl0_1556),
% 103.50/13.47 inference(component_clause,[status(thm)],[f27157])).
% 103.50/13.47 fof(f27178,plain,(
% 103.50/13.47 spl0_1561 <=> class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal)),
% 103.50/13.47 introduced(split_symbol_definition)).
% 103.50/13.47 fof(f27180,plain,(
% 103.50/13.47 ~class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal)|spl0_1561),
% 103.50/13.47 inference(component_clause,[status(thm)],[f27178])).
% 103.50/13.47 fof(f27201,plain,(
% 103.50/13.47 $false|spl0_1561),
% 103.50/13.47 inference(forward_subsumption_resolution,[status(thm)],[f27180,f4384])).
% 103.50/13.47 fof(f27202,plain,(
% 103.50/13.47 spl0_1561),
% 103.50/13.47 inference(contradiction_clause,[status(thm)],[f27201])).
% 103.50/13.47 fof(f27203,plain,(
% 103.50/13.47 $false|spl0_1556),
% 103.50/13.47 inference(forward_subsumption_resolution,[status(thm)],[f27159,f4283])).
% 103.50/13.47 fof(f27204,plain,(
% 103.50/13.47 spl0_1556),
% 103.50/13.47 inference(contradiction_clause,[status(thm)],[f27203])).
% 103.50/13.47 fof(f27672,plain,(
% 103.50/13.47 spl0_1585 <=> v_y____=sk0_2),
% 103.50/13.47 introduced(split_symbol_definition)).
% 103.50/13.47 fof(f27674,plain,(
% 103.50/13.47 ~v_y____=sk0_2|spl0_1585),
% 103.50/13.47 inference(component_clause,[status(thm)],[f27672])).
% 103.50/13.47 fof(f28450,plain,(
% 103.50/13.47 spl0_1602 <=> class_Rings_Ozero__neq__one(tc_Int_Oint)),
% 103.50/13.47 introduced(split_symbol_definition)).
% 103.50/13.47 fof(f28452,plain,(
% 103.50/13.47 ~class_Rings_Ozero__neq__one(tc_Int_Oint)|spl0_1602),
% 103.50/13.47 inference(component_clause,[status(thm)],[f28450])).
% 103.50/13.47 fof(f28455,plain,(
% 103.50/13.47 $false|spl0_1602),
% 103.50/13.47 inference(forward_subsumption_resolution,[status(thm)],[f28452,f4299])).
% 103.50/13.47 fof(f28456,plain,(
% 103.50/13.47 spl0_1602),
% 103.50/13.47 inference(contradiction_clause,[status(thm)],[f28455])).
% 103.50/13.47 fof(f28458,plain,(
% 103.50/13.47 ![X0,X1]: (~v_z=c_Complex_Ocomplex_OComplex(X0,X1)|sk0_2=X1)),
% 103.50/13.47 inference(paramodulation,[status(thm)],[f1589,f2154])).
% 103.50/13.47 fof(f28462,plain,(
% 103.50/13.47 sk0_2=v_y____),
% 103.50/13.47 inference(resolution,[status(thm)],[f28458,f1326])).
% 103.50/13.47 fof(f28463,plain,(
% 103.50/13.47 $false|spl0_1585),
% 103.50/13.47 inference(forward_subsumption_resolution,[status(thm)],[f28462,f27674])).
% 103.50/13.47 fof(f28464,plain,(
% 103.50/13.47 spl0_1585),
% 103.50/13.47 inference(contradiction_clause,[status(thm)],[f28463])).
% 103.50/13.47 fof(f28465,plain,(
% 103.50/13.47 spl0_1603 <=> v_z=v_z),
% 103.50/13.47 introduced(split_symbol_definition)).
% 103.50/13.47 fof(f28467,plain,(
% 103.50/13.47 ~v_z=v_z|spl0_1603),
% 103.50/13.47 inference(component_clause,[status(thm)],[f28465])).
% 103.50/13.47 fof(f28479,plain,(
% 103.50/13.47 $false|spl0_1603),
% 103.50/13.47 inference(trivial_equality_resolution,[status(esa)],[f28467])).
% 103.50/13.47 fof(f28480,plain,(
% 103.50/13.47 spl0_1603),
% 103.50/13.47 inference(contradiction_clause,[status(thm)],[f28479])).
% 103.50/13.47 fof(f28594,plain,(
% 103.50/13.47 spl0_1624 <=> ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X2),c_Nat_OSuc(X2))),
% 103.50/13.47 introduced(split_symbol_definition)).
% 103.50/13.47 fof(f28595,plain,(
% 103.50/13.47 ![X0]: (~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X0),c_Nat_OSuc(X0))|~spl0_1624)),
% 103.50/13.47 inference(component_clause,[status(thm)],[f28594])).
% 103.50/13.47 fof(f28622,plain,(
% 103.50/13.47 $false|~spl0_1624),
% 103.50/13.47 inference(forward_subsumption_resolution,[status(thm)],[f28595,f2572])).
% 103.50/13.47 fof(f28623,plain,(
% 103.50/13.47 ~spl0_1624),
% 103.50/13.47 inference(contradiction_clause,[status(thm)],[f28622])).
% 103.50/13.47 fof(f28627,plain,(
% 103.50/13.47 spl0_1625 <=> class_Rings_Ozero__neq__one(tc_RealDef_Oreal)),
% 103.50/13.47 introduced(split_symbol_definition)).
% 103.50/13.47 fof(f28629,plain,(
% 103.50/13.47 ~class_Rings_Ozero__neq__one(tc_RealDef_Oreal)|spl0_1625),
% 103.50/13.47 inference(component_clause,[status(thm)],[f28627])).
% 103.50/13.47 fof(f28665,plain,(
% 103.50/13.47 $false|spl0_1625),
% 103.50/13.47 inference(forward_subsumption_resolution,[status(thm)],[f28629,f4404])).
% 103.50/13.47 fof(f28666,plain,(
% 103.50/13.47 spl0_1625),
% 103.50/13.47 inference(contradiction_clause,[status(thm)],[f28665])).
% 103.50/13.47 fof(f28806,plain,(
% 103.50/13.47 spl0_1641 <=> class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal)),
% 103.50/13.47 introduced(split_symbol_definition)).
% 103.50/13.47 fof(f28808,plain,(
% 103.50/13.47 ~class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal)|spl0_1641),
% 103.50/13.47 inference(component_clause,[status(thm)],[f28806])).
% 103.50/13.47 fof(f28834,plain,(
% 103.50/13.47 $false|spl0_1641),
% 103.50/13.47 inference(forward_subsumption_resolution,[status(thm)],[f28808,f4369])).
% 103.50/13.47 fof(f28835,plain,(
% 103.50/13.47 spl0_1641),
% 103.50/13.47 inference(contradiction_clause,[status(thm)],[f28834])).
% 103.50/13.47 fof(f28914,plain,(
% 103.50/13.47 spl0_1644 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_x____),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))),
% 103.50/13.47 introduced(split_symbol_definition)).
% 103.50/13.47 fof(f28916,plain,(
% 103.50/13.47 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_x____),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))|spl0_1644),
% 103.50/13.47 inference(component_clause,[status(thm)],[f28914])).
% 103.50/13.47 fof(f28917,plain,(
% 103.50/13.47 ~class_Rings_Olinordered__semidom(tc_RealDef_Oreal)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_x____),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_x____),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))),
% 103.50/13.47 inference(resolution,[status(thm)],[f4866,f1780])).
% 103.50/13.47 fof(f28918,plain,(
% 103.50/13.47 ~spl0_538|~spl0_1644|spl0_21),
% 103.50/13.47 inference(split_clause,[status(thm)],[f28917,f13307,f28914,f4976])).
% 103.50/13.47 fof(f29082,plain,(
% 103.50/13.47 spl0_1660 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Int_OBit1(c_Int_OPls))),
% 103.50/13.47 introduced(split_symbol_definition)).
% 103.50/13.47 fof(f29084,plain,(
% 103.50/13.47 ~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Int_OBit1(c_Int_OPls))|spl0_1660),
% 103.50/13.47 inference(component_clause,[status(thm)],[f29082])).
% 103.50/13.47 fof(f29087,plain,(
% 103.50/13.47 $false|spl0_1660),
% 103.50/13.47 inference(forward_subsumption_resolution,[status(thm)],[f29084,f12955])).
% 103.50/13.47 fof(f29088,plain,(
% 103.50/13.47 spl0_1660),
% 103.50/13.47 inference(contradiction_clause,[status(thm)],[f29087])).
% 103.50/13.47 fof(f29106,plain,(
% 103.50/13.47 spl0_1663 <=> ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X0)),
% 103.50/13.47 introduced(split_symbol_definition)).
% 103.50/13.47 fof(f29107,plain,(
% 103.50/13.47 ![X0]: (~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X0)|~spl0_1663)),
% 103.50/13.47 inference(component_clause,[status(thm)],[f29106])).
% 103.50/13.47 fof(f29111,plain,(
% 103.50/13.47 $false|~spl0_1663),
% 103.50/13.47 inference(forward_subsumption_resolution,[status(thm)],[f29107,f2572])).
% 103.50/13.47 fof(f29112,plain,(
% 103.50/13.47 ~spl0_1663),
% 103.50/13.47 inference(contradiction_clause,[status(thm)],[f29111])).
% 103.50/13.47 fof(f29646,plain,(
% 103.50/13.47 spl0_1707 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_OPls)),
% 103.50/13.47 introduced(split_symbol_definition)).
% 103.50/13.47 fof(f29648,plain,(
% 103.50/13.47 ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_OPls)|spl0_1707),
% 103.50/13.47 inference(component_clause,[status(thm)],[f29646])).
% 103.50/13.47 fof(f29710,plain,(
% 103.50/13.47 spl0_1715 <=> 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))),
% 103.50/13.47 introduced(split_symbol_definition)).
% 103.50/13.47 fof(f29712,plain,(
% 103.50/13.47 ~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_1715),
% 103.50/13.47 inference(component_clause,[status(thm)],[f29710])).
% 103.50/13.47 fof(f29729,plain,(
% 103.50/13.47 ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OPls)|spl0_1707),
% 103.50/13.47 inference(forward_demodulation,[status(thm)],[f1838,f29648])).
% 103.50/13.47 fof(f29730,plain,(
% 103.50/13.47 $false|spl0_1707),
% 103.50/13.47 inference(forward_subsumption_resolution,[status(thm)],[f29729,f1367])).
% 103.50/13.47 fof(f29731,plain,(
% 103.50/13.47 spl0_1707),
% 103.50/13.47 inference(contradiction_clause,[status(thm)],[f29730])).
% 103.50/13.47 fof(f29732,plain,(
% 103.50/13.47 $false|spl0_1715),
% 103.50/13.47 inference(forward_subsumption_resolution,[status(thm)],[f29712,f1277])).
% 103.50/13.47 fof(f29733,plain,(
% 103.50/13.47 spl0_1715),
% 103.50/13.47 inference(contradiction_clause,[status(thm)],[f29732])).
% 103.50/13.47 fof(f29804,plain,(
% 103.50/13.47 spl0_1721 <=> class_Groups_Ogroup__add(tc_Int_Oint)),
% 103.50/13.47 introduced(split_symbol_definition)).
% 103.50/13.47 fof(f29806,plain,(
% 103.50/13.47 ~class_Groups_Ogroup__add(tc_Int_Oint)|spl0_1721),
% 103.50/13.47 inference(component_clause,[status(thm)],[f29804])).
% 103.50/13.47 fof(f29812,plain,(
% 103.50/13.47 $false|spl0_1721),
% 103.50/13.47 inference(forward_subsumption_resolution,[status(thm)],[f29806,f4308])).
% 103.50/13.47 fof(f29813,plain,(
% 103.50/13.47 spl0_1721),
% 103.50/13.47 inference(contradiction_clause,[status(thm)],[f29812])).
% 103.50/13.47 fof(f29823,plain,(
% 103.50/13.47 spl0_1724 <=> class_Groups_Oab__group__add(tc_Int_Oint)),
% 103.50/13.47 introduced(split_symbol_definition)).
% 103.50/13.47 fof(f29825,plain,(
% 103.50/13.47 ~class_Groups_Oab__group__add(tc_Int_Oint)|spl0_1724),
% 103.50/13.47 inference(component_clause,[status(thm)],[f29823])).
% 103.50/13.47 fof(f29828,plain,(
% 103.50/13.47 $false|spl0_1724),
% 103.50/13.47 inference(forward_subsumption_resolution,[status(thm)],[f29825,f4298])).
% 103.50/13.47 fof(f29829,plain,(
% 103.50/13.47 spl0_1724),
% 103.50/13.47 inference(contradiction_clause,[status(thm)],[f29828])).
% 103.50/13.47 fof(f29936,plain,(
% 103.50/13.47 spl0_1745 <=> class_Groups_Olinordered__ab__group__add(tc_Int_Oint)),
% 103.50/13.47 introduced(split_symbol_definition)).
% 103.50/13.47 fof(f29938,plain,(
% 103.50/13.47 ~class_Groups_Olinordered__ab__group__add(tc_Int_Oint)|spl0_1745),
% 103.50/13.47 inference(component_clause,[status(thm)],[f29936])).
% 103.50/13.47 fof(f29980,plain,(
% 103.50/13.47 spl0_1753 <=> class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal)),
% 103.50/13.47 introduced(split_symbol_definition)).
% 103.50/13.47 fof(f29982,plain,(
% 103.50/13.47 ~class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal)|spl0_1753),
% 103.50/13.47 inference(component_clause,[status(thm)],[f29980])).
% 103.50/13.47 fof(f30021,plain,(
% 103.50/13.47 $false|spl0_1745),
% 103.50/13.47 inference(forward_subsumption_resolution,[status(thm)],[f29938,f4275])).
% 103.50/13.47 fof(f30022,plain,(
% 103.50/13.47 spl0_1745),
% 103.50/13.47 inference(contradiction_clause,[status(thm)],[f30021])).
% 103.50/13.47 fof(f30023,plain,(
% 103.50/13.47 $false|spl0_1753),
% 103.50/13.47 inference(forward_subsumption_resolution,[status(thm)],[f29982,f4374])).
% 103.50/13.47 fof(f30024,plain,(
% 103.50/13.47 spl0_1753),
% 103.50/13.47 inference(contradiction_clause,[status(thm)],[f30023])).
% 103.50/13.47 fof(f30191,plain,(
% 103.50/13.47 spl0_1776 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_OBit1(c_Int_OPls))),
% 103.50/13.47 introduced(split_symbol_definition)).
% 103.50/13.47 fof(f30193,plain,(
% 103.50/13.47 ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_OBit1(c_Int_OPls))|spl0_1776),
% 103.50/13.47 inference(component_clause,[status(thm)],[f30191])).
% 103.50/13.47 fof(f30204,plain,(
% 103.50/13.47 ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OBit1(c_Int_OPls))|spl0_1776),
% 103.50/13.47 inference(forward_demodulation,[status(thm)],[f1838,f30193])).
% 103.50/13.47 fof(f30205,plain,(
% 103.50/13.47 $false|spl0_1776),
% 103.50/13.47 inference(forward_subsumption_resolution,[status(thm)],[f30204,f6651])).
% 103.50/13.47 fof(f30206,plain,(
% 103.50/13.47 spl0_1776),
% 103.50/13.47 inference(contradiction_clause,[status(thm)],[f30205])).
% 103.50/13.47 fof(f30266,plain,(
% 103.50/13.47 ![X0,X1]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(X0,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_x____),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(X1,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_x____),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),
% 103.50/13.47 inference(resolution,[status(thm)],[f24181,f20409])).
% 103.50/13.47 fof(f30267,plain,(
% 103.50/13.47 spl0_417),
% 103.50/13.47 inference(split_clause,[status(thm)],[f30266,f11698])).
% 103.50/13.47 fof(f30423,plain,(
% 103.50/13.47 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OPls)|c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OPls)),
% 103.50/13.47 inference(paramodulation,[status(thm)],[f1558,f20155])).
% 103.50/13.47 fof(f30424,plain,(
% 103.50/13.47 spl0_146),
% 103.50/13.47 inference(split_clause,[status(thm)],[f30423,f6668])).
% 103.50/13.47 fof(f30550,plain,(
% 103.50/13.47 spl0_1811 <=> class_Groups_Ocomm__monoid__add(tc_Nat_Onat)),
% 103.50/13.47 introduced(split_symbol_definition)).
% 103.50/13.47 fof(f30552,plain,(
% 103.50/13.47 ~class_Groups_Ocomm__monoid__add(tc_Nat_Onat)|spl0_1811),
% 103.50/13.47 inference(component_clause,[status(thm)],[f30550])).
% 103.50/13.47 fof(f30557,plain,(
% 103.50/13.47 spl0_1812 <=> class_Groups_Ocomm__monoid__add(tc_Int_Oint)),
% 103.50/13.47 introduced(split_symbol_definition)).
% 103.50/13.47 fof(f30559,plain,(
% 103.50/13.47 ~class_Groups_Ocomm__monoid__add(tc_Int_Oint)|spl0_1812),
% 103.50/13.47 inference(component_clause,[status(thm)],[f30557])).
% 103.50/13.47 fof(f30566,plain,(
% 103.50/13.47 $false|spl0_1811),
% 103.50/13.47 inference(forward_subsumption_resolution,[status(thm)],[f30552,f4339])).
% 103.50/13.47 fof(f30567,plain,(
% 103.50/13.47 spl0_1811),
% 103.50/13.47 inference(contradiction_clause,[status(thm)],[f30566])).
% 103.50/13.47 fof(f30568,plain,(
% 103.50/13.47 $false|spl0_1812),
% 103.50/13.47 inference(forward_subsumption_resolution,[status(thm)],[f30559,f4293])).
% 103.50/13.47 fof(f30569,plain,(
% 103.50/13.47 spl0_1812),
% 103.50/13.47 inference(contradiction_clause,[status(thm)],[f30568])).
% 103.50/13.47 fof(f30571,plain,(
% 103.50/13.47 spl0_1813 <=> class_Groups_Omonoid__add(tc_Nat_Onat)),
% 103.50/13.47 introduced(split_symbol_definition)).
% 103.50/13.47 fof(f30573,plain,(
% 103.50/13.47 ~class_Groups_Omonoid__add(tc_Nat_Onat)|spl0_1813),
% 103.50/13.47 inference(component_clause,[status(thm)],[f30571])).
% 103.50/13.47 fof(f30578,plain,(
% 103.50/13.47 spl0_1814 <=> class_Groups_Omonoid__add(tc_Int_Oint)),
% 103.50/13.47 introduced(split_symbol_definition)).
% 103.50/13.47 fof(f30580,plain,(
% 103.50/13.47 ~class_Groups_Omonoid__add(tc_Int_Oint)|spl0_1814),
% 103.50/13.47 inference(component_clause,[status(thm)],[f30578])).
% 103.50/13.47 fof(f30587,plain,(
% 103.50/13.47 $false|spl0_1813),
% 103.50/13.47 inference(forward_subsumption_resolution,[status(thm)],[f30573,f4346])).
% 103.50/13.47 fof(f30588,plain,(
% 103.50/13.47 spl0_1813),
% 103.50/13.47 inference(contradiction_clause,[status(thm)],[f30587])).
% 103.50/13.47 fof(f30589,plain,(
% 103.50/13.47 $false|spl0_1814),
% 103.50/13.47 inference(forward_subsumption_resolution,[status(thm)],[f30580,f4305])).
% 103.50/13.47 fof(f30590,plain,(
% 103.50/13.47 spl0_1814),
% 103.50/13.47 inference(contradiction_clause,[status(thm)],[f30589])).
% 103.50/13.47 fof(f30857,plain,(
% 103.50/13.47 spl0_1847 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
% 103.50/13.47 introduced(split_symbol_definition)).
% 103.50/13.47 fof(f30859,plain,(
% 103.50/13.47 ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Groups_Ozero__class_Ozero(tc_Int_Oint))|spl0_1847),
% 103.50/13.47 inference(component_clause,[status(thm)],[f30857])).
% 103.50/13.47 fof(f31659,plain,(
% 103.50/13.47 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Nat_OSuc(X0)))),
% 103.50/13.47 inference(paramodulation,[status(thm)],[f1719,f2655])).
% 103.50/13.47 fof(f32013,plain,(
% 103.50/13.47 spl0_1922 <=> class_Groups_Oordered__comm__monoid__add(tc_Int_Oint)),
% 103.50/13.47 introduced(split_symbol_definition)).
% 103.50/13.47 fof(f32015,plain,(
% 103.50/13.47 ~class_Groups_Oordered__comm__monoid__add(tc_Int_Oint)|spl0_1922),
% 103.50/13.47 inference(component_clause,[status(thm)],[f32013])).
% 103.50/13.47 fof(f32021,plain,(
% 103.50/13.47 spl0_1924 <=> class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat)),
% 103.50/13.47 introduced(split_symbol_definition)).
% 103.50/13.47 fof(f32023,plain,(
% 103.50/13.47 ~class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat)|spl0_1924),
% 103.50/13.47 inference(component_clause,[status(thm)],[f32021])).
% 103.50/13.47 fof(f32049,plain,(
% 103.50/13.47 spl0_1930 <=> class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal)),
% 103.50/13.47 introduced(split_symbol_definition)).
% 103.50/13.47 fof(f32051,plain,(
% 103.50/13.47 ~class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal)|spl0_1930),
% 103.50/13.47 inference(component_clause,[status(thm)],[f32049])).
% 103.50/13.47 fof(f32136,plain,(
% 103.50/13.47 $false|spl0_1930),
% 103.50/13.47 inference(forward_subsumption_resolution,[status(thm)],[f32051,f4373])).
% 103.50/13.47 fof(f32137,plain,(
% 103.50/13.47 spl0_1930),
% 103.50/13.47 inference(contradiction_clause,[status(thm)],[f32136])).
% 103.50/13.47 fof(f32138,plain,(
% 103.50/13.47 $false|spl0_1922),
% 103.50/13.47 inference(forward_subsumption_resolution,[status(thm)],[f32015,f4274])).
% 103.50/13.47 fof(f32139,plain,(
% 103.50/13.47 spl0_1922),
% 103.50/13.47 inference(contradiction_clause,[status(thm)],[f32138])).
% 103.50/13.47 fof(f32140,plain,(
% 103.50/13.47 $false|spl0_1924),
% 103.50/13.47 inference(forward_subsumption_resolution,[status(thm)],[f32023,f4327])).
% 103.50/13.47 fof(f32141,plain,(
% 103.50/13.47 spl0_1924),
% 103.50/13.47 inference(contradiction_clause,[status(thm)],[f32140])).
% 103.50/13.47 fof(f32353,plain,(
% 103.50/13.47 ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OPls)|spl0_1847),
% 103.50/13.47 inference(forward_demodulation,[status(thm)],[f1838,f30859])).
% 103.50/13.47 fof(f32354,plain,(
% 103.50/13.47 $false|spl0_1847),
% 103.50/13.47 inference(forward_subsumption_resolution,[status(thm)],[f32353,f1367])).
% 103.50/13.47 fof(f32355,plain,(
% 103.50/13.47 spl0_1847),
% 103.50/13.47 inference(contradiction_clause,[status(thm)],[f32354])).
% 103.50/13.47 fof(f32571,plain,(
% 103.50/13.47 $false|spl0_792),
% 103.50/13.47 inference(forward_subsumption_resolution,[status(thm)],[f16751,f31659])).
% 103.50/13.47 fof(f32572,plain,(
% 103.50/13.47 spl0_792),
% 103.50/13.47 inference(contradiction_clause,[status(thm)],[f32571])).
% 103.50/13.47 fof(f32591,plain,(
% 103.50/13.47 spl0_1996 <=> ~X0=c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OMin)),
% 103.50/13.55 introduced(split_symbol_definition)).
% 103.50/13.55 fof(f32592,plain,(
% 103.50/13.55 ![X0]: (~X0=c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OMin)|~spl0_1996)),
% 103.50/13.55 inference(component_clause,[status(thm)],[f32591])).
% 103.50/13.55 fof(f32596,plain,(
% 103.50/13.55 $false|~spl0_327),
% 103.50/13.55 inference(backward_subsumption_resolution,[status(thm)],[f1555,f9341])).
% 103.50/13.55 fof(f32597,plain,(
% 103.50/13.55 ~spl0_327),
% 103.50/13.55 inference(contradiction_clause,[status(thm)],[f32596])).
% 103.50/13.55 fof(f32683,plain,(
% 103.50/13.55 $false|~spl0_1996),
% 103.50/13.55 inference(resolution,[status(thm)],[f32592,f2822])).
% 103.50/13.55 fof(f32684,plain,(
% 103.50/13.55 ~spl0_1996),
% 103.50/13.55 inference(contradiction_clause,[status(thm)],[f32683])).
% 103.50/13.55 fof(f32879,plain,(
% 103.50/13.55 spl0_2012 <=> c_Transcendental_Opi=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 103.50/13.55 introduced(split_symbol_definition)).
% 103.50/13.55 fof(f32880,plain,(
% 103.50/13.55 c_Transcendental_Opi=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_2012),
% 103.50/13.55 inference(component_clause,[status(thm)],[f32879])).
% 103.50/13.55 fof(f32886,plain,(
% 103.50/13.55 $false|~spl0_2012),
% 103.50/13.55 inference(forward_subsumption_resolution,[status(thm)],[f32880,f4153])).
% 103.50/13.55 fof(f32887,plain,(
% 103.50/13.55 ~spl0_2012),
% 103.50/13.55 inference(contradiction_clause,[status(thm)],[f32886])).
% 103.50/13.55 fof(f32950,plain,(
% 103.50/13.55 spl0_2017 <=> ~X0=X0),
% 103.50/13.55 introduced(split_symbol_definition)).
% 103.50/13.55 fof(f32951,plain,(
% 103.50/13.55 ![X0]: (~X0=X0|~spl0_2017)),
% 103.50/13.55 inference(component_clause,[status(thm)],[f32950])).
% 103.50/13.55 fof(f32957,plain,(
% 103.50/13.55 $false|~spl0_2017),
% 103.50/13.55 inference(trivial_equality_resolution,[status(esa)],[f32951])).
% 103.50/13.55 fof(f32958,plain,(
% 103.50/13.55 ~spl0_2017),
% 103.50/13.55 inference(contradiction_clause,[status(thm)],[f32957])).
% 103.50/13.55 fof(f33019,plain,(
% 103.50/13.55 ~class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal)|spl0_1644),
% 103.50/13.55 inference(resolution,[status(thm)],[f1898,f28916])).
% 103.50/13.55 fof(f33020,plain,(
% 103.50/13.55 ~spl0_1501|spl0_1644),
% 103.50/13.55 inference(split_clause,[status(thm)],[f33019,f24440,f28914])).
% 103.50/13.55 fof(f33038,plain,(
% 103.50/13.55 $false),
% 103.50/13.55 inference(sat_refutation,[status(thm)],[f4915,f4983,f4990,f5056,f13343,f24474,f24476,f24728,f24738,f24754,f24894,f24906,f25465,f27202,f27204,f28456,f28464,f28480,f28623,f28666,f28835,f28918,f29088,f29112,f29731,f29733,f29813,f29829,f30022,f30024,f30206,f30267,f30424,f30567,f30569,f30588,f30590,f32137,f32139,f32141,f32355,f32572,f32597,f32684,f32887,f32958,f33020])).
% 103.50/13.55 % SZS output end CNFRefutation for theBenchmark.p
% 103.50/13.56 % Elapsed time: 13.204842 seconds
% 103.50/13.56 % CPU time: 104.027397 seconds
% 103.50/13.56 % Memory used: 677.760 MB
%------------------------------------------------------------------------------