TSTP Solution File: SWW222+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWW222+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:49:52 EDT 2024
% Result : Theorem 59.69s 7.95s
% Output : CNFRefutation 60.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWW222+1 : TPTP v8.1.2. Released v5.2.0.
% 0.03/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.34 % Computer : n008.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Mon Apr 29 23:03:42 EDT 2024
% 0.11/0.34 % CPUTime :
% 0.17/0.43 % Drodi V3.6.0
% 59.69/7.95 % Refutation found
% 59.69/7.95 % SZS status Theorem for theBenchmark: Theorem is valid
% 59.69/7.95 % SZS output start CNFRefutation for theBenchmark
% 59.69/7.95 fof(f3,axiom,(
% 59.69/7.95 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)),v_d____) ),
% 59.69/7.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.69/7.95 fof(f6,axiom,(
% 59.69/7.95 (! [B_w] :( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,B_w,v_z____)))& c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,B_w,v_z____)),v_d____) )=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),B_w),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ) )),
% 59.69/7.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.69/7.95 fof(f7,axiom,(
% 59.69/7.95 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
% 59.69/7.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.69/7.95 fof(f9,axiom,(
% 59.69/7.95 (! [V_w,T_a] :( ( class_Int_Onumber__ring(T_a)& class_RealVector_Oreal__normed__algebra__1(T_a) )=> c_RealVector_Onorm__class_Onorm(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w)) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,V_w)) ) )),
% 59.69/7.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.69/7.95 fof(f22,axiom,(
% 59.69/7.95 (! [V_k] : c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_k,c_Int_OPls) = V_k )),
% 59.69/7.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.69/7.95 fof(f25,axiom,(
% 59.69/7.95 (! [V_k] : c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OBit0(V_k)) = c_Int_OBit0(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_k)) )),
% 59.69/7.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.69/7.95 fof(f31,axiom,(
% 59.69/7.95 (! [V_r] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,V_r) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_r) )),
% 59.69/7.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.69/7.95 fof(f35,axiom,(
% 59.69/7.95 (! [V_x_2,T_a] :( class_RealVector_Oreal__normed__vector(T_a)=> ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,V_x_2))<=> V_x_2 != c_Groups_Ozero__class_Ozero(T_a) ) ) )),
% 59.69/7.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.69/7.95 fof(f36,axiom,(
% 59.69/7.95 (! [V_l,V_k] : c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Int_OBit1(V_k),c_Int_OBit1(V_l)) = c_Int_OBit0(c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_k,V_l)) )),
% 59.69/7.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.69/7.95 fof(f43,axiom,(
% 59.69/7.95 (! [V_k_2] :( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Int_OBit0(V_k_2))<=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,V_k_2) ) )),
% 59.69/7.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.69/7.95 fof(f44,axiom,(
% 59.69/7.95 (! [V_a_2,T_a] :( class_Rings_Olinordered__idom(T_a)=> ( c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ouminus__class_Ouminus(T_a,V_a_2))<=> c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) )),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f45,axiom,(
% 59.94/7.97 (! [T_a] :( class_Int_Onumber__ring(T_a)=> c_Int_Onumber__class_Onumber__of(T_a,c_Int_OPls) = c_Groups_Ozero__class_Ozero(T_a) ) )),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f57,axiom,(
% 59.94/7.97 (! [V_l_2,V_k_2] :( c_Int_OBit1(V_k_2) = c_Int_OBit1(V_l_2)<=> V_k_2 = V_l_2 ) )),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f68,axiom,(
% 59.94/7.97 (! [V_k] : c_Int_OBit1(V_k) != c_Int_OPls )),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f70,axiom,(
% 59.94/7.97 (! [V_l,V_k] : c_Int_OBit1(V_k) != c_Int_OBit0(V_l) )),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f74,axiom,(
% 59.94/7.97 c_Int_OBit0(c_Int_OPls) = c_Int_OPls ),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f79,axiom,(
% 59.94/7.97 (! [V_r] :( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_r,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=> c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_r) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_r) )& ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_r,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=> c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_r) = V_r ) ) )),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f87,axiom,(
% 59.94/7.97 (! [V_a,T_a] :( class_Groups_Oordered__ab__group__add__abs(T_a)=> ~ c_Orderings_Oord__class_Oless(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),c_Groups_Ozero__class_Ozero(T_a)) ) )),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f92,axiom,(
% 59.94/7.97 (! [V_i] :( ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i,c_Groups_Ozero__class_Ozero(tc_Int_Oint))=> c_Groups_Oabs__class_Oabs(tc_Int_Oint,V_i) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_i) )& ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i,c_Groups_Ozero__class_Ozero(tc_Int_Oint))=> c_Groups_Oabs__class_Oabs(tc_Int_Oint,V_i) = V_i ) ) )),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f93,axiom,(
% 59.94/7.97 (! [V_z] : c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_z)) = V_z )),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f95,axiom,(
% 59.94/7.97 (! [V_l_2,V_k_2] :( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,V_l_2)<=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_k_2,V_l_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) )),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f98,axiom,(
% 59.94/7.97 (! [V_v_2] :( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_2))<=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,V_v_2) ) )),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f102,axiom,(
% 59.94/7.97 c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f112,axiom,(
% 59.94/7.97 (! [V_da_2,V_c_2,V_b_2,V_a_2,T_a] :( class_Groups_Oab__group__add(T_a)=> ( c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2) = c_Groups_Ominus__class_Ominus(T_a,V_c_2,V_da_2)=> ( V_a_2 = V_b_2<=> V_c_2 = V_da_2 ) ) ) )),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f113,axiom,(
% 59.94/7.97 (! [V_a,T_a] :( class_Groups_Ogroup__add(T_a)=> c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a)) = V_a ) )),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f119,axiom,(
% 59.94/7.97 (! [V_a,T_a] :( class_Groups_Ogroup__add(T_a)=> c_Groups_Ominus__class_Ominus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) )),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f120,axiom,(
% 59.94/7.97 (! [V_a,T_a] :( class_Groups_Ogroup__add(T_a)=> c_Groups_Ominus__class_Ominus(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) )),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f126,axiom,(
% 59.94/7.97 (! [V_a_2,T_a] :( class_Groups_Olinordered__ab__group__add(T_a)=> ( V_a_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_a_2)<=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) )),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f151,axiom,(
% 59.94/7.97 c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f194,axiom,(
% 59.94/7.97 (! [V_k] : c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_k) = V_k )),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f197,axiom,(
% 59.94/7.97 c_Transcendental_Opi != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f218,axiom,(
% 59.94/7.97 (! [V_a,T_a] :( class_Groups_Omonoid__add(T_a)=> c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = V_a ) )),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f250,axiom,(
% 59.94/7.97 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f303,axiom,(
% 59.94/7.97 (! [V_a_2,V_x_2] :( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x_2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_a_2)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)<=> V_x_2 = V_a_2 ) )),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f306,axiom,(
% 59.94/7.97 c_Groups_Oone__class_Oone(tc_Int_Oint) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit1(c_Int_OPls)) ),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f307,axiom,(
% 59.94/7.97 (! [V_y,V_x] : c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_x,V_y) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_y)) )),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f309,axiom,(
% 59.94/7.97 (! [V_y,V_x] : c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_y))) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_y,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x))) )),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f341,axiom,(
% 59.94/7.97 (! [V_n] : c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Nat_OSuc(V_n)) )),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f345,axiom,(
% 59.94/7.97 (! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(V_m) )),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f351,axiom,(
% 59.94/7.97 c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f368,axiom,(
% 59.94/7.97 (! [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 )),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f441,axiom,(
% 59.94/7.97 (! [V_w] : c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_w,V_w) )),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f444,axiom,(
% 59.94/7.97 (! [V_n] : c_Nat_OSuc(V_n) != V_n )),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f458,axiom,(
% 59.94/7.97 (! [V_k] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,V_k) = V_k )),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f471,axiom,(
% 59.94/7.97 (! [V_y_2,V_x_2] :( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2)<=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2)& V_x_2 != V_y_2 ) ) )),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f472,axiom,(
% 59.94/7.97 (! [V_y_2,V_x_2] :( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2)<=> ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2)| V_x_2 = V_y_2 ) ) )),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f515,axiom,(
% 59.94/7.97 (! [V_z] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_z),V_z) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f521,axiom,(
% 59.94/7.97 (! [V_w,V_z] : c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_z,V_w) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_w)) )),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f551,axiom,(
% 59.94/7.97 (! [V_m] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f552,axiom,(
% 59.94/7.97 (! [V_m] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m )),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f556,axiom,(
% 59.94/7.97 (! [V_n,V_k,V_j] :( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_j,V_k)=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_n),V_k) ) )),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f557,axiom,(
% 59.94/7.97 (! [V_t,V_s] :( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_s,V_t)=> V_s != V_t ) )),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f575,axiom,(
% 59.94/7.97 (! [V_n,V_m] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),V_m) )),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f624,axiom,(
% 59.94/7.97 (! [V_n,V_m] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n),V_n) = V_m )),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f625,axiom,(
% 59.94/7.97 (! [V_m,V_n] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,V_m),V_n) = V_m )),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f729,axiom,(
% 59.94/7.97 (! [V_a,T_a] :( class_Groups_Ocomm__monoid__mult(T_a)=> c_Groups_Otimes__class_Otimes(T_a,c_Groups_Oone__class_Oone(T_a),V_a) = V_a ) )),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f1008,axiom,(
% 59.94/7.97 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f1010,axiom,(
% 59.94/7.97 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f1018,axiom,(
% 59.94/7.97 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f1030,axiom,(
% 59.94/7.97 class_Rings_Olinordered__idom(tc_Int_Oint) ),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f1035,axiom,(
% 59.94/7.97 class_Rings_Ozero__neq__one(tc_Int_Oint) ),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f1042,axiom,(
% 59.94/7.97 class_Groups_Ogroup__add(tc_Int_Oint) ),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f1099,axiom,(
% 59.94/7.97 class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f1112,axiom,(
% 59.94/7.97 class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal) ),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f1138,axiom,(
% 59.94/7.97 class_Groups_Omonoid__add(tc_RealDef_Oreal) ),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f1140,axiom,(
% 59.94/7.97 class_Groups_Ogroup__add(tc_RealDef_Oreal) ),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f1144,axiom,(
% 59.94/7.97 class_Int_Onumber__ring(tc_RealDef_Oreal) ),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f1158,axiom,(
% 59.94/7.97 class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f1162,axiom,(
% 59.94/7.97 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f1168,axiom,(
% 59.94/7.97 class_Groups_Ocomm__monoid__mult(tc_Complex_Ocomplex) ),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f1177,axiom,(
% 59.94/7.97 class_Groups_Oab__group__add(tc_Complex_Ocomplex) ),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f1183,axiom,(
% 59.94/7.97 class_Groups_Ogroup__add(tc_Complex_Ocomplex) ),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f1187,axiom,(
% 59.94/7.97 class_Int_Onumber__ring(tc_Complex_Ocomplex) ),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f1251,conjecture,(
% 59.94/7.97 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
% 59.94/7.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.94/7.97 fof(f1252,negated_conjecture,(
% 59.94/7.97 ~(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )),
% 59.94/7.97 inference(negated_conjecture,[status(cth)],[f1251])).
% 59.94/7.97 fof(f1257,plain,(
% 59.94/7.97 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)),v_d____)),
% 59.94/7.97 inference(cnf_transformation,[status(esa)],[f3])).
% 59.94/7.97 fof(f1261,plain,(
% 59.94/7.97 ![B_w]: ((~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,B_w,v_z____)))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,B_w,v_z____)),v_d____))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),B_w),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))),
% 59.94/7.97 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 59.94/7.97 fof(f1262,plain,(
% 59.94/7.97 ![X0]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,v_z____)))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,v_z____)),v_d____)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))),
% 59.94/7.97 inference(cnf_transformation,[status(esa)],[f1261])).
% 59.94/7.97 fof(f1263,plain,(
% 59.94/7.97 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),
% 59.94/7.97 inference(cnf_transformation,[status(esa)],[f7])).
% 59.94/7.97 fof(f1268,plain,(
% 59.94/7.97 ![V_w,T_a]: ((~class_Int_Onumber__ring(T_a)|~class_RealVector_Oreal__normed__algebra__1(T_a))|c_RealVector_Onorm__class_Onorm(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w))=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,V_w)))),
% 59.94/7.97 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 59.94/7.97 fof(f1269,plain,(
% 59.94/7.97 ![T_a]: ((~class_Int_Onumber__ring(T_a)|~class_RealVector_Oreal__normed__algebra__1(T_a))|(![V_w]: c_RealVector_Onorm__class_Onorm(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w))=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,V_w))))),
% 59.94/7.97 inference(miniscoping,[status(esa)],[f1268])).
% 59.94/7.97 fof(f1270,plain,(
% 59.94/7.97 ![X0,X1]: (~class_Int_Onumber__ring(X0)|~class_RealVector_Oreal__normed__algebra__1(X0)|c_RealVector_Onorm__class_Onorm(X0,c_Int_Onumber__class_Onumber__of(X0,X1))=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,X1)))),
% 59.94/7.97 inference(cnf_transformation,[status(esa)],[f1269])).
% 59.94/7.97 fof(f1310,plain,(
% 59.94/7.97 ![X0]: (c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,c_Int_OPls)=X0)),
% 59.94/7.97 inference(cnf_transformation,[status(esa)],[f22])).
% 59.94/7.97 fof(f1313,plain,(
% 59.94/7.97 ![X0]: (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OBit0(X0))=c_Int_OBit0(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X0)))),
% 59.94/7.97 inference(cnf_transformation,[status(esa)],[f25])).
% 59.94/7.97 fof(f1331,plain,(
% 59.94/7.97 ![X0]: (c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0)=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0))),
% 59.94/7.97 inference(cnf_transformation,[status(esa)],[f31])).
% 59.94/7.97 fof(f1341,plain,(
% 59.94/7.97 ![V_x_2,T_a]: (~class_RealVector_Oreal__normed__vector(T_a)|(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,V_x_2))<=>~V_x_2=c_Groups_Ozero__class_Ozero(T_a)))),
% 59.94/7.97 inference(pre_NNF_transformation,[status(esa)],[f35])).
% 59.94/7.97 fof(f1342,plain,(
% 59.94/7.97 ![V_x_2,T_a]: (~class_RealVector_Oreal__normed__vector(T_a)|((~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,V_x_2))|~V_x_2=c_Groups_Ozero__class_Ozero(T_a))&(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,V_x_2))|V_x_2=c_Groups_Ozero__class_Ozero(T_a))))),
% 59.94/7.97 inference(NNF_transformation,[status(esa)],[f1341])).
% 59.94/7.97 fof(f1343,plain,(
% 59.94/7.97 ![T_a]: (~class_RealVector_Oreal__normed__vector(T_a)|((![V_x_2]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,V_x_2))|~V_x_2=c_Groups_Ozero__class_Ozero(T_a)))&(![V_x_2]: (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,V_x_2))|V_x_2=c_Groups_Ozero__class_Ozero(T_a)))))),
% 59.94/7.97 inference(miniscoping,[status(esa)],[f1342])).
% 59.94/7.97 fof(f1345,plain,(
% 59.94/7.97 ![X0,X1]: (~class_RealVector_Oreal__normed__vector(X0)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1))|X1=c_Groups_Ozero__class_Ozero(X0))),
% 59.94/7.97 inference(cnf_transformation,[status(esa)],[f1343])).
% 59.94/7.97 fof(f1346,plain,(
% 59.94/7.97 ![X0,X1]: (c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Int_OBit1(X0),c_Int_OBit1(X1))=c_Int_OBit0(c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,X1)))),
% 59.94/7.97 inference(cnf_transformation,[status(esa)],[f36])).
% 59.94/7.97 fof(f1365,plain,(
% 59.94/7.97 ![V_k_2]: ((~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Int_OBit0(V_k_2))|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,V_k_2))&(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Int_OBit0(V_k_2))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,V_k_2)))),
% 59.94/7.97 inference(NNF_transformation,[status(esa)],[f43])).
% 59.94/7.97 fof(f1366,plain,(
% 59.94/7.97 (![V_k_2]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Int_OBit0(V_k_2))|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,V_k_2)))&(![V_k_2]: (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Int_OBit0(V_k_2))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,V_k_2)))),
% 59.94/7.97 inference(miniscoping,[status(esa)],[f1365])).
% 59.94/7.97 fof(f1367,plain,(
% 59.94/7.97 ![X0]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Int_OBit0(X0))|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X0))),
% 59.94/7.97 inference(cnf_transformation,[status(esa)],[f1366])).
% 59.94/7.97 fof(f1369,plain,(
% 59.94/7.97 ![V_a_2,T_a]: (~class_Rings_Olinordered__idom(T_a)|(c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ouminus__class_Ouminus(T_a,V_a_2))<=>c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a))))),
% 59.94/7.97 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 59.94/7.97 fof(f1370,plain,(
% 59.94/7.97 ![V_a_2,T_a]: (~class_Rings_Olinordered__idom(T_a)|((~c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ouminus__class_Ouminus(T_a,V_a_2))|c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)))&(c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ouminus__class_Ouminus(T_a,V_a_2))|~c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)))))),
% 59.94/7.97 inference(NNF_transformation,[status(esa)],[f1369])).
% 59.94/7.97 fof(f1371,plain,(
% 59.94/7.97 ![T_a]: (~class_Rings_Olinordered__idom(T_a)|((![V_a_2]: (~c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ouminus__class_Ouminus(T_a,V_a_2))|c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a))))&(![V_a_2]: (c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ouminus__class_Ouminus(T_a,V_a_2))|~c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a))))))),
% 59.94/7.97 inference(miniscoping,[status(esa)],[f1370])).
% 59.94/7.97 fof(f1372,plain,(
% 59.94/7.97 ![X0,X1]: (~class_Rings_Olinordered__idom(X0)|~c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X1))|c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)))),
% 59.94/7.97 inference(cnf_transformation,[status(esa)],[f1371])).
% 59.94/7.97 fof(f1374,plain,(
% 59.94/7.97 ![T_a]: (~class_Int_Onumber__ring(T_a)|c_Int_Onumber__class_Onumber__of(T_a,c_Int_OPls)=c_Groups_Ozero__class_Ozero(T_a))),
% 59.94/7.97 inference(pre_NNF_transformation,[status(esa)],[f45])).
% 59.94/7.97 fof(f1375,plain,(
% 59.94/7.97 ![X0]: (~class_Int_Onumber__ring(X0)|c_Int_Onumber__class_Onumber__of(X0,c_Int_OPls)=c_Groups_Ozero__class_Ozero(X0))),
% 59.94/7.97 inference(cnf_transformation,[status(esa)],[f1374])).
% 59.94/7.97 fof(f1418,plain,(
% 59.94/7.97 ![V_l_2,V_k_2]: ((~c_Int_OBit1(V_k_2)=c_Int_OBit1(V_l_2)|V_k_2=V_l_2)&(c_Int_OBit1(V_k_2)=c_Int_OBit1(V_l_2)|~V_k_2=V_l_2))),
% 59.94/7.97 inference(NNF_transformation,[status(esa)],[f57])).
% 59.94/7.97 fof(f1419,plain,(
% 59.94/7.97 (![V_l_2,V_k_2]: (~c_Int_OBit1(V_k_2)=c_Int_OBit1(V_l_2)|V_k_2=V_l_2))&(![V_l_2,V_k_2]: (c_Int_OBit1(V_k_2)=c_Int_OBit1(V_l_2)|~V_k_2=V_l_2))),
% 59.94/7.97 inference(miniscoping,[status(esa)],[f1418])).
% 59.94/7.97 fof(f1420,plain,(
% 59.94/7.97 ![X0,X1]: (~c_Int_OBit1(X0)=c_Int_OBit1(X1)|X0=X1)),
% 59.94/7.97 inference(cnf_transformation,[status(esa)],[f1419])).
% 59.94/7.97 fof(f1459,plain,(
% 59.94/7.97 ![X0]: (~c_Int_OBit1(X0)=c_Int_OPls)),
% 59.94/7.97 inference(cnf_transformation,[status(esa)],[f68])).
% 59.94/7.97 fof(f1461,plain,(
% 59.94/7.97 ![X0,X1]: (~c_Int_OBit1(X0)=c_Int_OBit0(X1))),
% 59.94/7.97 inference(cnf_transformation,[status(esa)],[f70])).
% 59.94/7.97 fof(f1471,plain,(
% 59.94/7.97 c_Int_OBit0(c_Int_OPls)=c_Int_OPls),
% 59.94/7.97 inference(cnf_transformation,[status(esa)],[f74])).
% 59.94/7.97 fof(f1484,plain,(
% 59.94/7.97 ![V_r]: ((~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_r,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_r)=c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_r))&(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_r,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_r)=V_r))),
% 59.94/7.97 inference(pre_NNF_transformation,[status(esa)],[f79])).
% 59.94/7.97 fof(f1485,plain,(
% 59.94/7.97 (![V_r]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_r,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_r)=c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_r)))&(![V_r]: (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_r,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_r)=V_r))),
% 59.94/7.97 inference(miniscoping,[status(esa)],[f1484])).
% 59.94/7.97 fof(f1487,plain,(
% 59.94/7.97 ![X0]: (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0)=X0)),
% 59.94/7.97 inference(cnf_transformation,[status(esa)],[f1485])).
% 59.94/7.97 fof(f1513,plain,(
% 59.94/7.97 ![V_a,T_a]: (~class_Groups_Oordered__ab__group__add__abs(T_a)|~c_Orderings_Oord__class_Oless(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),c_Groups_Ozero__class_Ozero(T_a)))),
% 59.94/7.97 inference(pre_NNF_transformation,[status(esa)],[f87])).
% 59.94/7.97 fof(f1514,plain,(
% 59.94/7.97 ![T_a]: (~class_Groups_Oordered__ab__group__add__abs(T_a)|(![V_a]: ~c_Orderings_Oord__class_Oless(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),c_Groups_Ozero__class_Ozero(T_a))))),
% 59.94/7.97 inference(miniscoping,[status(esa)],[f1513])).
% 59.94/7.97 fof(f1515,plain,(
% 59.94/7.97 ![X0,X1]: (~class_Groups_Oordered__ab__group__add__abs(X0)|~c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Ozero__class_Ozero(X0)))),
% 59.94/7.97 inference(cnf_transformation,[status(esa)],[f1514])).
% 59.94/7.97 fof(f1525,plain,(
% 59.94/7.97 ![V_i]: ((~c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i,c_Groups_Ozero__class_Ozero(tc_Int_Oint))|c_Groups_Oabs__class_Oabs(tc_Int_Oint,V_i)=c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_i))&(c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i,c_Groups_Ozero__class_Ozero(tc_Int_Oint))|c_Groups_Oabs__class_Oabs(tc_Int_Oint,V_i)=V_i))),
% 59.94/7.97 inference(pre_NNF_transformation,[status(esa)],[f92])).
% 59.94/7.97 fof(f1526,plain,(
% 59.94/7.97 (![V_i]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i,c_Groups_Ozero__class_Ozero(tc_Int_Oint))|c_Groups_Oabs__class_Oabs(tc_Int_Oint,V_i)=c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_i)))&(![V_i]: (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i,c_Groups_Ozero__class_Ozero(tc_Int_Oint))|c_Groups_Oabs__class_Oabs(tc_Int_Oint,V_i)=V_i))),
% 59.94/7.97 inference(miniscoping,[status(esa)],[f1525])).
% 59.94/7.97 fof(f1527,plain,(
% 59.94/7.97 ![X0]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))|c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0)=c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X0))),
% 59.94/7.97 inference(cnf_transformation,[status(esa)],[f1526])).
% 59.94/7.97 fof(f1529,plain,(
% 59.94/7.97 ![X0]: (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X0))=X0)),
% 59.94/7.97 inference(cnf_transformation,[status(esa)],[f93])).
% 59.94/7.97 fof(f1531,plain,(
% 59.94/7.97 ![V_l_2,V_k_2]: ((~c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,V_l_2)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_k_2,V_l_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))&(c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,V_l_2)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_k_2,V_l_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),
% 59.94/7.97 inference(NNF_transformation,[status(esa)],[f95])).
% 59.94/7.97 fof(f1532,plain,(
% 59.94/7.97 (![V_l_2,V_k_2]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,V_l_2)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_k_2,V_l_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))&(![V_l_2,V_k_2]: (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,V_l_2)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_k_2,V_l_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),
% 59.94/7.97 inference(miniscoping,[status(esa)],[f1531])).
% 59.94/7.97 fof(f1533,plain,(
% 59.94/7.97 ![X0,X1]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),
% 59.94/7.97 inference(cnf_transformation,[status(esa)],[f1532])).
% 59.94/7.97 fof(f1540,plain,(
% 59.94/7.97 ![V_v_2]: ((~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_2))|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,V_v_2))&(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_2))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,V_v_2)))),
% 59.94/7.98 inference(NNF_transformation,[status(esa)],[f98])).
% 59.94/7.98 fof(f1541,plain,(
% 59.94/7.98 (![V_v_2]: (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_2))|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,V_v_2)))&(![V_v_2]: (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_2))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,V_v_2)))),
% 59.94/7.98 inference(miniscoping,[status(esa)],[f1540])).
% 59.94/7.98 fof(f1542,plain,(
% 59.94/7.98 ![X0]: (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X0))|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X0))),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f1541])).
% 59.94/7.98 fof(f1550,plain,(
% 59.94/7.98 c_Int_OPls=c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f102])).
% 59.94/7.98 fof(f1579,plain,(
% 59.94/7.98 ![V_da_2,V_c_2,V_b_2,V_a_2,T_a]: (~class_Groups_Oab__group__add(T_a)|(~c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2)=c_Groups_Ominus__class_Ominus(T_a,V_c_2,V_da_2)|(V_a_2=V_b_2<=>V_c_2=V_da_2)))),
% 59.94/7.98 inference(pre_NNF_transformation,[status(esa)],[f112])).
% 59.94/7.98 fof(f1580,plain,(
% 59.94/7.98 ![V_da_2,V_c_2,V_b_2,V_a_2,T_a]: (~class_Groups_Oab__group__add(T_a)|(~c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2)=c_Groups_Ominus__class_Ominus(T_a,V_c_2,V_da_2)|((~V_a_2=V_b_2|V_c_2=V_da_2)&(V_a_2=V_b_2|~V_c_2=V_da_2))))),
% 59.94/7.98 inference(NNF_transformation,[status(esa)],[f1579])).
% 59.94/7.98 fof(f1581,plain,(
% 59.94/7.98 ![T_a]: (~class_Groups_Oab__group__add(T_a)|(![V_da_2,V_c_2,V_b_2,V_a_2]: (~c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2)=c_Groups_Ominus__class_Ominus(T_a,V_c_2,V_da_2)|((~V_a_2=V_b_2|V_c_2=V_da_2)&(V_a_2=V_b_2|~V_c_2=V_da_2)))))),
% 59.94/7.98 inference(miniscoping,[status(esa)],[f1580])).
% 59.94/7.98 fof(f1582,plain,(
% 59.94/7.98 ![X0,X1,X2,X3,X4]: (~class_Groups_Oab__group__add(X0)|~c_Groups_Ominus__class_Ominus(X0,X1,X2)=c_Groups_Ominus__class_Ominus(X0,X3,X4)|~X1=X2|X3=X4)),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f1581])).
% 59.94/7.98 fof(f1584,plain,(
% 59.94/7.98 ![V_a,T_a]: (~class_Groups_Ogroup__add(T_a)|c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a))=V_a)),
% 59.94/7.98 inference(pre_NNF_transformation,[status(esa)],[f113])).
% 59.94/7.98 fof(f1585,plain,(
% 59.94/7.98 ![T_a]: (~class_Groups_Ogroup__add(T_a)|(![V_a]: c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a))=V_a))),
% 59.94/7.98 inference(miniscoping,[status(esa)],[f1584])).
% 59.94/7.98 fof(f1586,plain,(
% 59.94/7.98 ![X0,X1]: (~class_Groups_Ogroup__add(X0)|c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1))=X1)),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f1585])).
% 59.94/7.98 fof(f1612,plain,(
% 59.94/7.98 ![V_a,T_a]: (~class_Groups_Ogroup__add(T_a)|c_Groups_Ominus__class_Ominus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))=V_a)),
% 59.94/7.98 inference(pre_NNF_transformation,[status(esa)],[f119])).
% 59.94/7.98 fof(f1613,plain,(
% 59.94/7.98 ![T_a]: (~class_Groups_Ogroup__add(T_a)|(![V_a]: c_Groups_Ominus__class_Ominus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))=V_a))),
% 59.94/7.98 inference(miniscoping,[status(esa)],[f1612])).
% 59.94/7.98 fof(f1614,plain,(
% 59.94/7.98 ![X0,X1]: (~class_Groups_Ogroup__add(X0)|c_Groups_Ominus__class_Ominus(X0,X1,c_Groups_Ozero__class_Ozero(X0))=X1)),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f1613])).
% 59.94/7.98 fof(f1615,plain,(
% 59.94/7.98 ![V_a,T_a]: (~class_Groups_Ogroup__add(T_a)|c_Groups_Ominus__class_Ominus(T_a,V_a,V_a)=c_Groups_Ozero__class_Ozero(T_a))),
% 59.94/7.98 inference(pre_NNF_transformation,[status(esa)],[f120])).
% 59.94/7.98 fof(f1616,plain,(
% 59.94/7.98 ![T_a]: (~class_Groups_Ogroup__add(T_a)|(![V_a]: c_Groups_Ominus__class_Ominus(T_a,V_a,V_a)=c_Groups_Ozero__class_Ozero(T_a)))),
% 59.94/7.98 inference(miniscoping,[status(esa)],[f1615])).
% 59.94/7.98 fof(f1617,plain,(
% 59.94/7.98 ![X0,X1]: (~class_Groups_Ogroup__add(X0)|c_Groups_Ominus__class_Ominus(X0,X1,X1)=c_Groups_Ozero__class_Ozero(X0))),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f1616])).
% 59.94/7.98 fof(f1640,plain,(
% 59.94/7.98 ![V_a_2,T_a]: (~class_Groups_Olinordered__ab__group__add(T_a)|(V_a_2=c_Groups_Ouminus__class_Ouminus(T_a,V_a_2)<=>V_a_2=c_Groups_Ozero__class_Ozero(T_a)))),
% 59.94/7.98 inference(pre_NNF_transformation,[status(esa)],[f126])).
% 59.94/7.98 fof(f1641,plain,(
% 59.94/7.98 ![V_a_2,T_a]: (~class_Groups_Olinordered__ab__group__add(T_a)|((~V_a_2=c_Groups_Ouminus__class_Ouminus(T_a,V_a_2)|V_a_2=c_Groups_Ozero__class_Ozero(T_a))&(V_a_2=c_Groups_Ouminus__class_Ouminus(T_a,V_a_2)|~V_a_2=c_Groups_Ozero__class_Ozero(T_a))))),
% 59.94/7.98 inference(NNF_transformation,[status(esa)],[f1640])).
% 59.94/7.98 fof(f1642,plain,(
% 59.94/7.98 ![T_a]: (~class_Groups_Olinordered__ab__group__add(T_a)|((![V_a_2]: (~V_a_2=c_Groups_Ouminus__class_Ouminus(T_a,V_a_2)|V_a_2=c_Groups_Ozero__class_Ozero(T_a)))&(![V_a_2]: (V_a_2=c_Groups_Ouminus__class_Ouminus(T_a,V_a_2)|~V_a_2=c_Groups_Ozero__class_Ozero(T_a)))))),
% 59.94/7.98 inference(miniscoping,[status(esa)],[f1641])).
% 59.94/7.98 fof(f1643,plain,(
% 59.94/7.98 ![X0,X1]: (~class_Groups_Olinordered__ab__group__add(X0)|~X1=c_Groups_Ouminus__class_Ouminus(X0,X1)|X1=c_Groups_Ozero__class_Ozero(X0))),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f1642])).
% 59.94/7.98 fof(f1748,plain,(
% 59.94/7.98 c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f151])).
% 59.94/7.98 fof(f1891,plain,(
% 59.94/7.98 ![X0]: (c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X0)=X0)),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f194])).
% 59.94/7.98 fof(f1898,plain,(
% 59.94/7.98 ~c_Transcendental_Opi=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f197])).
% 59.94/7.98 fof(f1962,plain,(
% 59.94/7.98 ![V_a,T_a]: (~class_Groups_Omonoid__add(T_a)|c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)=V_a)),
% 59.94/7.98 inference(pre_NNF_transformation,[status(esa)],[f218])).
% 59.94/7.98 fof(f1963,plain,(
% 59.94/7.98 ![T_a]: (~class_Groups_Omonoid__add(T_a)|(![V_a]: c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)=V_a))),
% 59.94/7.98 inference(miniscoping,[status(esa)],[f1962])).
% 59.94/7.98 fof(f1964,plain,(
% 59.94/7.98 ![X0,X1]: (~class_Groups_Omonoid__add(X0)|c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1)=X1)),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f1963])).
% 59.94/7.98 fof(f2069,plain,(
% 59.94/7.98 ~c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f250])).
% 59.94/7.98 fof(f2263,plain,(
% 59.94/7.98 ![V_a_2,V_x_2]: ((~c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x_2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_a_2))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|V_x_2=V_a_2)&(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x_2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_a_2))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~V_x_2=V_a_2))),
% 59.94/7.98 inference(NNF_transformation,[status(esa)],[f303])).
% 59.94/7.98 fof(f2264,plain,(
% 59.94/7.98 (![V_a_2,V_x_2]: (~c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x_2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_a_2))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|V_x_2=V_a_2))&(![V_a_2,V_x_2]: (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x_2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_a_2))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~V_x_2=V_a_2))),
% 59.94/7.98 inference(miniscoping,[status(esa)],[f2263])).
% 59.94/7.98 fof(f2265,plain,(
% 59.94/7.98 ![X0,X1]: (~c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|X0=X1)),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f2264])).
% 59.94/7.98 fof(f2266,plain,(
% 59.94/7.98 ![X0,X1]: (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~X0=X1)),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f2264])).
% 59.94/7.98 fof(f2269,plain,(
% 59.94/7.98 c_Groups_Oone__class_Oone(tc_Int_Oint)=c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit1(c_Int_OPls))),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f306])).
% 59.94/7.98 fof(f2270,plain,(
% 59.94/7.98 ![X0,X1]: (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1)=c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)))),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f307])).
% 59.94/7.98 fof(f2272,plain,(
% 59.94/7.98 ![X0,X1]: (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)))=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0))))),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f309])).
% 59.94/7.98 fof(f2348,plain,(
% 59.94/7.98 ![X0]: (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X0)))),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f341])).
% 59.94/7.98 fof(f2352,plain,(
% 59.94/7.98 ![X0]: (~c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=c_Nat_OSuc(X0))),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f345])).
% 59.94/7.98 fof(f2358,plain,(
% 59.94/7.98 c_Groups_Oone__class_Oone(tc_Nat_Onat)=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f351])).
% 59.94/7.98 fof(f2404,plain,(
% 59.94/7.98 ![X0]: (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X0),c_Groups_Oone__class_Oone(tc_Nat_Onat))=X0)),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f368])).
% 59.94/7.98 fof(f2596,plain,(
% 59.94/7.98 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X0))),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f441])).
% 59.94/7.98 fof(f2603,plain,(
% 59.94/7.98 ![X0]: (~c_Nat_OSuc(X0)=X0)),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f444])).
% 59.94/7.98 fof(f2627,plain,(
% 59.94/7.98 ![X0]: (c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,X0)=X0)),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f458])).
% 59.94/7.98 fof(f2662,plain,(
% 59.94/7.98 ![V_y_2,V_x_2]: ((~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2)|(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2)&~V_x_2=V_y_2))&(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2)|(~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2)|V_x_2=V_y_2)))),
% 59.94/7.98 inference(NNF_transformation,[status(esa)],[f471])).
% 59.94/7.98 fof(f2663,plain,(
% 59.94/7.98 (![V_y_2,V_x_2]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2)|(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2)&~V_x_2=V_y_2)))&(![V_y_2,V_x_2]: (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2)|(~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2)|V_x_2=V_y_2)))),
% 59.94/7.98 inference(miniscoping,[status(esa)],[f2662])).
% 59.94/7.98 fof(f2665,plain,(
% 59.94/7.98 ![X0,X1]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)|~X0=X1)),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f2663])).
% 59.94/7.98 fof(f2667,plain,(
% 59.94/7.98 ![V_y_2,V_x_2]: ((~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2)|(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2)|V_x_2=V_y_2))&(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2)|(~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2)&~V_x_2=V_y_2)))),
% 59.94/7.98 inference(NNF_transformation,[status(esa)],[f472])).
% 59.94/7.98 fof(f2668,plain,(
% 59.94/7.98 (![V_y_2,V_x_2]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2)|(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2)|V_x_2=V_y_2)))&(![V_y_2,V_x_2]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2)|(~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2)&~V_x_2=V_y_2)))),
% 59.94/7.98 inference(miniscoping,[status(esa)],[f2667])).
% 59.94/7.98 fof(f2671,plain,(
% 59.94/7.98 ![X0,X1]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|~X0=X1)),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f2668])).
% 59.94/7.98 fof(f2814,plain,(
% 59.94/7.98 ![X0]: (c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X0),X0)=c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f515])).
% 59.94/7.98 fof(f2835,plain,(
% 59.94/7.98 ![X0,X1]: (c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,X1)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1)))),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f521])).
% 59.94/7.98 fof(f2935,plain,(
% 59.94/7.98 ![X0]: (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X0)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f551])).
% 59.94/7.98 fof(f2936,plain,(
% 59.94/7.98 ![X0]: (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X0)),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f552])).
% 59.94/7.98 fof(f2948,plain,(
% 59.94/7.98 ![V_n,V_k,V_j]: (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_j,V_k)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_n),V_k))),
% 59.94/7.98 inference(pre_NNF_transformation,[status(esa)],[f556])).
% 59.94/7.98 fof(f2949,plain,(
% 59.94/7.98 ![V_k,V_j]: (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_j,V_k)|(![V_n]: c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_n),V_k)))),
% 59.94/7.98 inference(miniscoping,[status(esa)],[f2948])).
% 59.94/7.98 fof(f2950,plain,(
% 59.94/7.98 ![X0,X1,X2]: (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2),X1))),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f2949])).
% 59.94/7.98 fof(f2951,plain,(
% 59.94/7.98 ![V_t,V_s]: (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_s,V_t)|~V_s=V_t)),
% 59.94/7.98 inference(pre_NNF_transformation,[status(esa)],[f557])).
% 59.94/7.98 fof(f2952,plain,(
% 59.94/7.98 ![X0,X1]: (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)|~X0=X1)),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f2951])).
% 59.94/7.98 fof(f2995,plain,(
% 59.94/7.98 ![X0,X1]: (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X0))),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f575])).
% 59.94/7.98 fof(f3129,plain,(
% 59.94/7.98 ![X0,X1]: (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X1)=X0)),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f624])).
% 59.94/7.98 fof(f3130,plain,(
% 59.94/7.98 ![X0,X1]: (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X0)=X1)),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f625])).
% 59.94/7.98 fof(f3429,plain,(
% 59.94/7.98 ![V_a,T_a]: (~class_Groups_Ocomm__monoid__mult(T_a)|c_Groups_Otimes__class_Otimes(T_a,c_Groups_Oone__class_Oone(T_a),V_a)=V_a)),
% 59.94/7.98 inference(pre_NNF_transformation,[status(esa)],[f729])).
% 59.94/7.98 fof(f3430,plain,(
% 59.94/7.98 ![T_a]: (~class_Groups_Ocomm__monoid__mult(T_a)|(![V_a]: c_Groups_Otimes__class_Otimes(T_a,c_Groups_Oone__class_Oone(T_a),V_a)=V_a))),
% 59.94/7.98 inference(miniscoping,[status(esa)],[f3429])).
% 59.94/7.98 fof(f3431,plain,(
% 59.94/7.98 ![X0,X1]: (~class_Groups_Ocomm__monoid__mult(X0)|c_Groups_Otimes__class_Otimes(X0,c_Groups_Oone__class_Oone(X0),X1)=X1)),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f3430])).
% 59.94/7.98 fof(f4401,plain,(
% 59.94/7.98 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint)),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f1008])).
% 59.94/7.98 fof(f4403,plain,(
% 59.94/7.98 class_Groups_Olinordered__ab__group__add(tc_Int_Oint)),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f1010])).
% 59.94/7.98 fof(f4411,plain,(
% 59.94/7.98 class_Groups_Oordered__ab__group__add(tc_Int_Oint)),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f1018])).
% 59.94/7.98 fof(f4423,plain,(
% 59.94/7.98 class_Rings_Olinordered__idom(tc_Int_Oint)),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f1030])).
% 59.94/7.98 fof(f4428,plain,(
% 59.94/7.98 class_Rings_Ozero__neq__one(tc_Int_Oint)),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f1035])).
% 59.94/7.98 fof(f4435,plain,(
% 59.94/7.98 class_Groups_Ogroup__add(tc_Int_Oint)),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f1042])).
% 59.94/7.98 fof(f4492,plain,(
% 59.94/7.98 class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal)),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f1099])).
% 59.94/7.98 fof(f4505,plain,(
% 59.94/7.98 class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal)),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f1112])).
% 59.94/7.98 fof(f4531,plain,(
% 59.94/7.98 class_Groups_Omonoid__add(tc_RealDef_Oreal)),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f1138])).
% 59.94/7.98 fof(f4533,plain,(
% 59.94/7.98 class_Groups_Ogroup__add(tc_RealDef_Oreal)),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f1140])).
% 59.94/7.98 fof(f4537,plain,(
% 59.94/7.98 class_Int_Onumber__ring(tc_RealDef_Oreal)),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f1144])).
% 59.94/7.98 fof(f4551,plain,(
% 59.94/7.98 class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex)),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f1158])).
% 59.94/7.98 fof(f4555,plain,(
% 59.94/7.98 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f1162])).
% 59.94/7.98 fof(f4561,plain,(
% 59.94/7.98 class_Groups_Ocomm__monoid__mult(tc_Complex_Ocomplex)),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f1168])).
% 59.94/7.98 fof(f4570,plain,(
% 59.94/7.98 class_Groups_Oab__group__add(tc_Complex_Ocomplex)),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f1177])).
% 59.94/7.98 fof(f4576,plain,(
% 59.94/7.98 class_Groups_Ogroup__add(tc_Complex_Ocomplex)),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f1183])).
% 59.94/7.98 fof(f4580,plain,(
% 59.94/7.98 class_Int_Onumber__ring(tc_Complex_Ocomplex)),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f1187])).
% 59.94/7.98 fof(f4699,plain,(
% 59.94/7.98 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),
% 59.94/7.98 inference(cnf_transformation,[status(esa)],[f1252])).
% 59.94/7.98 fof(f4805,plain,(
% 59.94/7.98 spl0_0 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)))),
% 59.94/7.98 introduced(split_symbol_definition)).
% 59.94/7.98 fof(f4807,plain,(
% 59.94/7.98 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)))|spl0_0),
% 59.94/7.98 inference(component_clause,[status(thm)],[f4805])).
% 59.94/7.98 fof(f4808,plain,(
% 59.94/7.98 spl0_1 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)),v_d____)),
% 59.94/7.98 introduced(split_symbol_definition)).
% 59.94/7.98 fof(f4810,plain,(
% 59.94/7.98 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)),v_d____)|spl0_1),
% 59.94/7.98 inference(component_clause,[status(thm)],[f4808])).
% 59.94/7.98 fof(f4837,plain,(
% 59.94/7.98 ![X0,X1,X2,X3]: (~class_Groups_Oab__group__add(X0)|~c_Groups_Ominus__class_Ominus(X0,X1,X1)=c_Groups_Ominus__class_Ominus(X0,X2,X3)|X2=X3)),
% 59.94/7.98 inference(destructive_equality_resolution,[status(esa)],[f1582])).
% 59.94/7.98 fof(f4842,plain,(
% 59.94/7.98 ![X0]: (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 59.94/7.98 inference(destructive_equality_resolution,[status(esa)],[f2266])).
% 59.94/7.98 fof(f4846,plain,(
% 59.94/7.98 ![X0]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X0))),
% 59.94/7.98 inference(destructive_equality_resolution,[status(esa)],[f2665])).
% 59.94/7.98 fof(f4847,plain,(
% 59.94/7.98 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X0))),
% 59.94/7.98 inference(destructive_equality_resolution,[status(esa)],[f2671])).
% 59.94/7.98 fof(f4850,plain,(
% 59.94/7.98 ![X0]: (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X0))),
% 59.94/7.98 inference(destructive_equality_resolution,[status(esa)],[f2952])).
% 59.94/7.98 fof(f4861,plain,(
% 59.94/7.98 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),
% 59.94/7.98 inference(backward_demodulation,[status(thm)],[f1331,f4699])).
% 59.94/7.98 fof(f4864,plain,(
% 59.94/7.98 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),
% 59.94/7.98 inference(forward_demodulation,[status(thm)],[f1331,f1263])).
% 59.94/7.98 fof(f4874,plain,(
% 59.94/7.98 ![X0]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,v_z____)))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,v_z____)),v_d____)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))),
% 59.94/7.98 inference(forward_demodulation,[status(thm)],[f1331,f1262])).
% 59.94/7.98 fof(f4875,plain,(
% 59.94/7.98 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)),v_d____)),
% 59.94/7.98 inference(resolution,[status(thm)],[f4874,f4861])).
% 59.94/7.98 fof(f4876,plain,(
% 59.94/7.98 ~spl0_0|~spl0_1),
% 59.94/7.98 inference(split_clause,[status(thm)],[f4875,f4805,f4808])).
% 59.94/7.98 fof(f4886,plain,(
% 59.94/7.98 ![X0,X1]: (~c_Int_OBit1(X0)=c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OBit0(X1)))),
% 59.94/7.98 inference(paramodulation,[status(thm)],[f1313,f1461])).
% 59.94/7.98 fof(f4930,plain,(
% 59.94/7.98 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X0))),
% 59.94/7.98 inference(paramodulation,[status(thm)],[f2936,f2995])).
% 59.94/7.98 fof(f4949,plain,(
% 59.94/7.98 ![X0]: (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)=X0)),
% 59.94/7.98 inference(paramodulation,[status(thm)],[f2936,f3130])).
% 59.94/7.98 fof(f4965,plain,(
% 59.94/7.98 ![X0]: (c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X0),X0)=c_Int_OPls)),
% 59.94/7.98 inference(forward_demodulation,[status(thm)],[f1550,f2814])).
% 59.94/7.98 fof(f4985,plain,(
% 59.94/7.98 ![X0]: (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0)=X0)),
% 59.94/7.98 inference(forward_demodulation,[status(thm)],[f1331,f1487])).
% 59.94/7.98 fof(f4986,plain,(
% 59.94/7.98 c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 59.94/7.98 inference(resolution,[status(thm)],[f4985,f4846])).
% 59.94/7.98 fof(f4993,plain,(
% 59.94/7.98 $false|spl0_1),
% 59.94/7.98 inference(forward_subsumption_resolution,[status(thm)],[f4810,f1257])).
% 59.94/7.98 fof(f4994,plain,(
% 59.94/7.98 spl0_1),
% 59.94/7.98 inference(contradiction_clause,[status(thm)],[f4993])).
% 59.94/7.98 fof(f4995,plain,(
% 59.94/7.98 ![X0,X1]: (~class_Int_Onumber__ring(X0)|~class_RealVector_Oreal__normed__algebra__1(X0)|c_RealVector_Onorm__class_Onorm(X0,c_Int_Onumber__class_Onumber__of(X0,X1))=c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,X1)))),
% 59.94/7.98 inference(forward_demodulation,[status(thm)],[f1331,f1270])).
% 59.94/7.98 fof(f5092,plain,(
% 59.94/7.98 ![X0]: (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X0)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 59.94/7.98 inference(paramodulation,[status(thm)],[f4842,f2270])).
% 59.94/7.98 fof(f5101,plain,(
% 59.94/7.98 spl0_15 <=> c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 59.94/7.98 introduced(split_symbol_definition)).
% 59.94/7.98 fof(f5103,plain,(
% 59.94/7.98 ~c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|spl0_15),
% 59.94/7.98 inference(component_clause,[status(thm)],[f5101])).
% 59.94/7.98 fof(f5187,plain,(
% 59.94/7.98 ![X0]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Int_OPls)|c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0)=c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X0))),
% 59.94/7.98 inference(forward_demodulation,[status(thm)],[f1550,f1527])).
% 59.94/7.98 fof(f5223,plain,(
% 59.94/7.98 ![X0,X1]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,X1),c_Int_OPls))),
% 59.94/7.98 inference(forward_demodulation,[status(thm)],[f1550,f1533])).
% 59.94/7.98 fof(f5240,plain,(
% 59.94/7.98 ![X0]: (c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X0)),X0)=c_Int_OPls)),
% 59.94/7.98 inference(paramodulation,[status(thm)],[f4965,f2835])).
% 59.94/7.98 fof(f5241,plain,(
% 59.94/7.98 ![X0]: (c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,X0)=c_Int_OPls)),
% 59.94/7.98 inference(forward_demodulation,[status(thm)],[f1529,f5240])).
% 59.94/7.98 fof(f5242,plain,(
% 59.94/7.98 ![X0]: (c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Int_OPls,X0)=c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X0))),
% 59.94/7.98 inference(paramodulation,[status(thm)],[f2627,f2835])).
% 59.94/7.98 fof(f5245,plain,(
% 59.94/7.98 ![X0,X1]: (c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1))),
% 59.94/7.98 inference(paramodulation,[status(thm)],[f1529,f2835])).
% 59.94/7.98 fof(f5371,plain,(
% 59.94/7.98 ![X0]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X0)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X0),c_Int_OPls))),
% 59.94/7.98 inference(paramodulation,[status(thm)],[f5242,f5223])).
% 59.94/7.98 fof(f5824,plain,(
% 59.94/7.98 ![X0]: (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X0))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,X0))),
% 59.94/7.98 inference(paramodulation,[status(thm)],[f5242,f5245])).
% 59.94/7.98 fof(f6497,plain,(
% 59.94/7.98 ![X0,X1,X2]: (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X2)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2))),
% 59.94/7.98 inference(paramodulation,[status(thm)],[f3129,f2950])).
% 59.94/7.98 fof(f6503,plain,(
% 59.94/7.98 c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),
% 59.94/7.98 inference(resolution,[status(thm)],[f1748,f1542])).
% 59.94/7.98 fof(f6504,plain,(
% 59.94/7.98 c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Int_OBit1(c_Int_OPls))),
% 59.94/7.98 inference(resolution,[status(thm)],[f6503,f1367])).
% 59.94/7.98 fof(f6616,plain,(
% 59.94/7.98 spl0_76 <=> class_Int_Onumber__ring(tc_RealDef_Oreal)),
% 59.94/7.98 introduced(split_symbol_definition)).
% 59.94/7.98 fof(f6617,plain,(
% 59.94/7.98 class_Int_Onumber__ring(tc_RealDef_Oreal)|~spl0_76),
% 59.94/7.98 inference(component_clause,[status(thm)],[f6616])).
% 59.94/7.98 fof(f6618,plain,(
% 59.94/7.98 ~class_Int_Onumber__ring(tc_RealDef_Oreal)|spl0_76),
% 59.94/7.98 inference(component_clause,[status(thm)],[f6616])).
% 59.94/7.98 fof(f6625,plain,(
% 59.94/7.98 spl0_78 <=> c_Int_OBit1(c_Int_OPls)=c_Int_OBit1(c_Int_OPls)),
% 59.94/7.98 introduced(split_symbol_definition)).
% 59.94/7.98 fof(f6627,plain,(
% 59.94/7.98 ~c_Int_OBit1(c_Int_OPls)=c_Int_OBit1(c_Int_OPls)|spl0_78),
% 59.94/7.98 inference(component_clause,[status(thm)],[f6625])).
% 59.94/7.98 fof(f7024,plain,(
% 59.94/7.98 ![X0,X1]: (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1))=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0))))),
% 59.94/7.98 inference(forward_demodulation,[status(thm)],[f2270,f2272])).
% 59.94/7.98 fof(f7025,plain,(
% 59.94/7.98 ![X0,X1]: (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1))=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X0)))),
% 59.94/7.98 inference(forward_demodulation,[status(thm)],[f2270,f7024])).
% 59.94/7.98 fof(f7058,plain,(
% 59.94/7.98 spl0_104 <=> class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)),
% 59.94/7.98 introduced(split_symbol_definition)).
% 59.94/7.98 fof(f7060,plain,(
% 59.94/7.98 ~class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)|spl0_104),
% 59.94/7.98 inference(component_clause,[status(thm)],[f7058])).
% 59.94/7.98 fof(f7061,plain,(
% 59.94/7.98 spl0_105 <=> c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),
% 59.94/7.98 introduced(split_symbol_definition)).
% 59.94/7.98 fof(f7062,plain,(
% 59.94/7.98 c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_105),
% 59.94/7.98 inference(component_clause,[status(thm)],[f7061])).
% 59.94/7.98 fof(f7064,plain,(
% 59.94/7.98 ~class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)|c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|spl0_0),
% 59.94/7.98 inference(resolution,[status(thm)],[f1345,f4807])).
% 59.94/7.98 fof(f7065,plain,(
% 59.94/7.98 ~spl0_104|spl0_105|spl0_0),
% 59.94/7.98 inference(split_clause,[status(thm)],[f7064,f7058,f7061,f4805])).
% 59.94/7.98 fof(f7337,plain,(
% 59.94/7.98 ![X0]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X0))|c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),
% 59.94/7.98 inference(resolution,[status(thm)],[f1372,f4423])).
% 59.94/7.98 fof(f7338,plain,(
% 59.94/7.98 ![X0]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X0))|c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Int_OPls))),
% 59.94/7.98 inference(forward_demodulation,[status(thm)],[f1550,f7337])).
% 59.94/7.98 fof(f7641,plain,(
% 59.94/7.98 ![X0]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X0)|c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X0))=c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X0)))),
% 59.94/7.98 inference(resolution,[status(thm)],[f5371,f5187])).
% 59.94/7.98 fof(f7642,plain,(
% 59.94/7.98 ![X0]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X0)|c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X0))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,X0))),
% 59.94/7.98 inference(forward_demodulation,[status(thm)],[f5824,f7641])).
% 59.94/7.98 fof(f7643,plain,(
% 59.94/7.98 ![X0]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X0)|c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X0))=X0)),
% 59.94/7.98 inference(forward_demodulation,[status(thm)],[f2627,f7642])).
% 59.94/7.98 fof(f7947,plain,(
% 59.94/7.98 c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OBit1(c_Int_OPls)))=c_Int_OBit1(c_Int_OPls)),
% 59.94/7.98 inference(resolution,[status(thm)],[f7643,f6504])).
% 59.94/7.98 fof(f7949,plain,(
% 59.94/7.98 c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))=c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),
% 59.94/7.98 inference(resolution,[status(thm)],[f7643,f6503])).
% 59.94/7.98 fof(f8237,plain,(
% 59.94/7.98 $false|spl0_76),
% 59.94/7.98 inference(forward_subsumption_resolution,[status(thm)],[f4537,f6618])).
% 59.94/7.98 fof(f8238,plain,(
% 59.94/7.98 spl0_76),
% 59.94/7.98 inference(contradiction_clause,[status(thm)],[f8237])).
% 59.94/7.98 fof(f8312,plain,(
% 59.94/7.98 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OPls)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_76),
% 59.94/7.98 inference(resolution,[status(thm)],[f6617,f1375])).
% 59.94/7.98 fof(f8803,plain,(
% 59.94/7.98 spl0_192 <=> class_Int_Onumber__ring(tc_Complex_Ocomplex)),
% 59.94/7.98 introduced(split_symbol_definition)).
% 59.94/7.98 fof(f8804,plain,(
% 59.94/7.98 class_Int_Onumber__ring(tc_Complex_Ocomplex)|~spl0_192),
% 59.94/7.98 inference(component_clause,[status(thm)],[f8803])).
% 59.94/7.98 fof(f8805,plain,(
% 59.94/7.98 ~class_Int_Onumber__ring(tc_Complex_Ocomplex)|spl0_192),
% 59.94/7.98 inference(component_clause,[status(thm)],[f8803])).
% 59.94/7.98 fof(f8806,plain,(
% 59.94/7.98 spl0_193 <=> c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Int_Onumber__class_Onumber__of(tc_Complex_Ocomplex,X0))=c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,X0))),
% 59.94/7.98 introduced(split_symbol_definition)).
% 59.94/7.98 fof(f8807,plain,(
% 59.94/7.98 ![X0]: (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Int_Onumber__class_Onumber__of(tc_Complex_Ocomplex,X0))=c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,X0))|~spl0_193)),
% 59.94/7.98 inference(component_clause,[status(thm)],[f8806])).
% 59.94/7.98 fof(f8809,plain,(
% 59.94/7.98 ![X0]: (~class_Int_Onumber__ring(tc_Complex_Ocomplex)|c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Int_Onumber__class_Onumber__of(tc_Complex_Ocomplex,X0))=c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,X0)))),
% 59.94/7.98 inference(resolution,[status(thm)],[f4551,f4995])).
% 59.94/7.98 fof(f8810,plain,(
% 59.94/7.98 ~spl0_192|spl0_193),
% 59.94/7.98 inference(split_clause,[status(thm)],[f8809,f8803,f8806])).
% 59.94/7.98 fof(f8811,plain,(
% 59.94/7.98 $false|spl0_104),
% 59.94/7.98 inference(forward_subsumption_resolution,[status(thm)],[f4555,f7060])).
% 59.94/7.98 fof(f8812,plain,(
% 59.94/7.98 spl0_104),
% 59.94/7.98 inference(contradiction_clause,[status(thm)],[f8811])).
% 59.94/7.98 fof(f9167,plain,(
% 59.94/7.98 spl0_218 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OBit1(c_Int_OPls)))),
% 59.94/7.98 introduced(split_symbol_definition)).
% 59.94/7.98 fof(f9168,plain,(
% 59.94/7.98 c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OBit1(c_Int_OPls)))|~spl0_218),
% 59.94/7.98 inference(component_clause,[status(thm)],[f9167])).
% 59.94/7.98 fof(f10272,plain,(
% 59.94/7.98 $false|spl0_192),
% 59.94/7.98 inference(forward_subsumption_resolution,[status(thm)],[f4580,f8805])).
% 59.94/7.98 fof(f10273,plain,(
% 59.94/7.98 spl0_192),
% 59.94/7.98 inference(contradiction_clause,[status(thm)],[f10272])).
% 59.94/7.98 fof(f10378,plain,(
% 59.94/7.98 c_Int_Onumber__class_Onumber__of(tc_Complex_Ocomplex,c_Int_OPls)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_192),
% 59.94/7.98 inference(resolution,[status(thm)],[f8804,f1375])).
% 59.94/7.98 fof(f10416,plain,(
% 59.94/7.98 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))=c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OPls))|~spl0_193|~spl0_192),
% 59.94/7.98 inference(paramodulation,[status(thm)],[f10378,f8807])).
% 59.94/7.98 fof(f10417,plain,(
% 59.94/7.98 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))=c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~spl0_76|~spl0_193|~spl0_192),
% 59.94/7.98 inference(forward_demodulation,[status(thm)],[f8312,f10416])).
% 59.94/7.98 fof(f10418,plain,(
% 59.94/7.98 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_76|~spl0_193|~spl0_192),
% 59.94/7.98 inference(forward_demodulation,[status(thm)],[f4986,f10417])).
% 59.94/7.98 fof(f10754,plain,(
% 59.94/7.98 ![X0,X1]: (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)))),
% 59.94/7.98 inference(resolution,[status(thm)],[f4850,f2950])).
% 59.94/7.98 fof(f11304,plain,(
% 59.94/7.98 ![X0,X1]: (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1))))),
% 59.94/7.98 inference(resolution,[status(thm)],[f2348,f6497])).
% 59.94/7.98 fof(f11735,plain,(
% 59.94/7.98 ![X0]: (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(X0)))),
% 59.94/7.98 inference(paramodulation,[status(thm)],[f4949,f11304])).
% 59.94/7.98 fof(f13914,plain,(
% 59.94/7.98 c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
% 59.94/7.98 inference(paramodulation,[status(thm)],[f2358,f11735])).
% 59.94/7.98 fof(f13919,plain,(
% 59.94/7.98 ~c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=c_Groups_Oone__class_Oone(tc_Nat_Onat)),
% 59.94/7.98 inference(paramodulation,[status(thm)],[f2358,f2352])).
% 59.94/7.98 fof(f13935,plain,(
% 59.94/7.98 ![X0]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),
% 59.94/7.98 inference(resolution,[status(thm)],[f1515,f4401])).
% 59.94/7.98 fof(f13936,plain,(
% 59.94/7.98 ![X0]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0),c_Int_OPls))),
% 59.94/7.98 inference(forward_demodulation,[status(thm)],[f1550,f13935])).
% 59.94/7.98 fof(f14110,plain,(
% 59.94/7.98 ~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),c_Int_OPls)),
% 59.94/7.98 inference(paramodulation,[status(thm)],[f7947,f13936])).
% 59.94/7.98 fof(f14115,plain,(
% 59.94/7.98 ~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OBit1(c_Int_OPls)))),
% 59.94/7.98 inference(resolution,[status(thm)],[f14110,f7338])).
% 59.94/7.98 fof(f15282,plain,(
% 59.94/7.98 spl0_454 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
% 59.94/7.98 introduced(split_symbol_definition)).
% 59.94/7.98 fof(f15283,plain,(
% 59.94/7.98 c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat)))|~spl0_454),
% 59.94/7.98 inference(component_clause,[status(thm)],[f15282])).
% 59.94/7.98 fof(f15572,plain,(
% 59.94/7.98 ![X0]: (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0))=X0)),
% 59.94/7.98 inference(resolution,[status(thm)],[f1586,f4533])).
% 59.94/7.98 fof(f15643,plain,(
% 59.94/7.98 ![X0,X1]: (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))=c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1))),
% 59.94/7.98 inference(paramodulation,[status(thm)],[f15572,f2270])).
% 59.94/7.98 fof(f15644,plain,(
% 59.94/7.98 ![X0,X1]: (~c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|X0=c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))),
% 59.94/7.98 inference(paramodulation,[status(thm)],[f15572,f2265])).
% 59.94/7.98 fof(f15646,plain,(
% 59.94/7.98 ![X0]: (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))=X0)),
% 59.94/7.98 inference(resolution,[status(thm)],[f1614,f4576])).
% 59.94/7.98 fof(f15647,plain,(
% 59.94/7.98 ![X0]: (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=X0)),
% 59.94/7.98 inference(resolution,[status(thm)],[f1614,f4533])).
% 59.94/7.98 fof(f15725,plain,(
% 59.94/7.98 spl0_477 <=> c_Groups_Oone__class_Oone(tc_Int_Oint)=c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),
% 59.94/7.98 introduced(split_symbol_definition)).
% 59.94/7.98 fof(f15726,plain,(
% 59.94/7.98 c_Groups_Oone__class_Oone(tc_Int_Oint)=c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))|~spl0_477),
% 59.94/7.98 inference(component_clause,[status(thm)],[f15725])).
% 59.94/7.98 fof(f15733,plain,(
% 59.94/7.98 spl0_479 <=> c_Groups_Oone__class_Oone(tc_Int_Oint)=c_Int_OBit0(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),
% 59.94/7.98 introduced(split_symbol_definition)).
% 59.94/7.98 fof(f15734,plain,(
% 59.94/7.98 c_Groups_Oone__class_Oone(tc_Int_Oint)=c_Int_OBit0(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))|~spl0_479),
% 59.94/7.98 inference(component_clause,[status(thm)],[f15733])).
% 59.94/7.98 fof(f15743,plain,(
% 59.94/7.98 spl0_481 <=> c_Groups_Oone__class_Oone(tc_Int_Oint)=c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),
% 59.94/7.98 introduced(split_symbol_definition)).
% 59.94/7.98 fof(f15744,plain,(
% 59.94/7.98 c_Groups_Oone__class_Oone(tc_Int_Oint)=c_Int_OBit0(c_Int_OBit1(c_Int_OPls))|~spl0_481),
% 59.94/7.98 inference(component_clause,[status(thm)],[f15743])).
% 59.94/7.98 fof(f15774,plain,(
% 59.94/7.98 spl0_487 <=> c_Groups_Oone__class_Oone(tc_Int_Oint)=c_Int_OBit1(c_Int_OBit1(c_Int_OPls))),
% 59.94/7.98 introduced(split_symbol_definition)).
% 59.94/7.98 fof(f15775,plain,(
% 59.94/7.98 c_Groups_Oone__class_Oone(tc_Int_Oint)=c_Int_OBit1(c_Int_OBit1(c_Int_OPls))|~spl0_487),
% 59.94/7.98 inference(component_clause,[status(thm)],[f15774])).
% 59.94/7.98 fof(f16072,plain,(
% 59.94/7.98 spl0_499 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0)),X0)),
% 59.94/7.98 introduced(split_symbol_definition)).
% 59.94/7.98 fof(f16073,plain,(
% 59.94/7.98 ![X0]: (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0)),X0)|~spl0_499)),
% 59.94/7.98 inference(component_clause,[status(thm)],[f16072])).
% 59.94/7.98 fof(f16084,plain,(
% 59.94/7.98 spl0_501 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0)))),
% 59.94/7.98 introduced(split_symbol_definition)).
% 59.94/7.98 fof(f16085,plain,(
% 59.94/7.98 ![X0]: (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0)))|~spl0_501)),
% 59.94/7.98 inference(component_clause,[status(thm)],[f16084])).
% 59.94/7.98 fof(f16247,plain,(
% 59.94/7.98 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),v_s____)),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),
% 59.94/7.98 inference(backward_demodulation,[status(thm)],[f15643,f4861])).
% 59.94/7.98 fof(f16280,plain,(
% 59.94/7.98 spl0_526 <=> ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0)))),
% 59.94/7.98 introduced(split_symbol_definition)).
% 59.94/7.98 fof(f16281,plain,(
% 59.94/7.98 ![X0]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0)))|~spl0_526)),
% 59.94/7.98 inference(component_clause,[status(thm)],[f16280])).
% 59.94/7.98 fof(f16286,plain,(
% 59.94/7.98 spl0_527 <=> ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0))),
% 59.94/7.98 introduced(split_symbol_definition)).
% 59.94/7.98 fof(f16287,plain,(
% 59.94/7.98 ![X0]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0))|~spl0_527)),
% 59.94/7.98 inference(component_clause,[status(thm)],[f16286])).
% 59.94/7.98 fof(f16303,plain,(
% 59.94/7.98 ![X0]: (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,X0)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),
% 59.94/7.98 inference(resolution,[status(thm)],[f1617,f4576])).
% 59.94/7.98 fof(f16360,plain,(
% 59.94/7.98 ![X0]: (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)=X0)),
% 59.94/7.98 inference(resolution,[status(thm)],[f1964,f4531])).
% 59.94/7.98 fof(f16434,plain,(
% 59.94/7.98 ![X0]: (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)=c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0))),
% 59.94/7.98 inference(paramodulation,[status(thm)],[f2270,f16360])).
% 59.94/7.98 fof(f16440,plain,(
% 59.94/7.98 ![X0]: (~X0=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0))),
% 59.94/7.98 inference(paramodulation,[status(thm)],[f16360,f15644])).
% 59.94/7.98 fof(f16761,plain,(
% 59.94/7.98 spl0_537 <=> ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0)),X0)),
% 59.94/7.98 introduced(split_symbol_definition)).
% 59.94/7.98 fof(f16762,plain,(
% 59.94/7.98 ![X0]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0)),X0)|~spl0_537)),
% 59.94/7.98 inference(component_clause,[status(thm)],[f16761])).
% 59.94/7.98 fof(f16804,plain,(
% 59.94/7.98 ![X0]: (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0)))),
% 59.94/7.98 inference(paramodulation,[status(thm)],[f16434,f7025])).
% 59.94/7.98 fof(f16805,plain,(
% 59.94/7.98 ![X0]: (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0)=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0)))),
% 59.94/7.98 inference(forward_demodulation,[status(thm)],[f15647,f16804])).
% 59.94/7.98 fof(f17027,plain,(
% 59.94/7.98 spl0_549 <=> class_Groups_Oab__group__add(tc_Complex_Ocomplex)),
% 59.94/7.98 introduced(split_symbol_definition)).
% 59.94/7.98 fof(f17029,plain,(
% 59.94/7.98 ~class_Groups_Oab__group__add(tc_Complex_Ocomplex)|spl0_549),
% 59.94/7.98 inference(component_clause,[status(thm)],[f17027])).
% 59.94/7.98 fof(f17167,plain,(
% 59.94/7.98 spl0_575 <=> ~c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,X0)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),
% 59.94/7.98 introduced(split_symbol_definition)).
% 59.94/7.98 fof(f17168,plain,(
% 59.94/7.98 ![X0]: (~c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,X0)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_575)),
% 59.94/7.98 inference(component_clause,[status(thm)],[f17167])).
% 59.94/7.98 fof(f17170,plain,(
% 59.94/7.98 spl0_576 <=> v_wa____=v_z____),
% 59.94/7.98 introduced(split_symbol_definition)).
% 59.94/7.98 fof(f17171,plain,(
% 59.94/7.98 v_wa____=v_z____|~spl0_576),
% 59.94/7.98 inference(component_clause,[status(thm)],[f17170])).
% 59.94/7.98 fof(f17173,plain,(
% 59.94/7.98 ![X0]: (~class_Groups_Oab__group__add(tc_Complex_Ocomplex)|~c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,X0)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|v_wa____=v_z____|~spl0_105)),
% 59.94/7.98 inference(paramodulation,[status(thm)],[f7062,f4837])).
% 59.94/7.98 fof(f17174,plain,(
% 59.94/7.98 ~spl0_549|spl0_575|spl0_576|~spl0_105),
% 59.94/7.98 inference(split_clause,[status(thm)],[f17173,f17027,f17167,f17170,f7061])).
% 59.94/7.98 fof(f17217,plain,(
% 59.94/7.98 spl0_585 <=> ~c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X0)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 59.94/7.98 introduced(split_symbol_definition)).
% 59.94/7.98 fof(f17218,plain,(
% 59.94/7.98 ![X0]: (~c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X0)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_585)),
% 59.94/7.98 inference(component_clause,[status(thm)],[f17217])).
% 59.94/7.98 fof(f17331,plain,(
% 59.94/7.98 spl0_607 <=> ~c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,X0)=c_Int_OPls),
% 59.94/7.98 introduced(split_symbol_definition)).
% 59.94/7.98 fof(f17332,plain,(
% 59.94/7.98 ![X0]: (~c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,X0)=c_Int_OPls|~spl0_607)),
% 59.94/7.98 inference(component_clause,[status(thm)],[f17331])).
% 59.94/7.98 fof(f17341,plain,(
% 59.94/7.98 $false|spl0_549),
% 59.94/7.98 inference(forward_subsumption_resolution,[status(thm)],[f17029,f4570])).
% 59.94/7.98 fof(f17342,plain,(
% 59.94/7.98 spl0_549),
% 59.94/7.98 inference(contradiction_clause,[status(thm)],[f17341])).
% 59.94/7.98 fof(f17347,plain,(
% 59.94/7.98 $false|~spl0_575),
% 59.94/7.98 inference(forward_subsumption_resolution,[status(thm)],[f17168,f16303])).
% 59.94/7.98 fof(f17348,plain,(
% 59.94/7.98 ~spl0_575),
% 59.94/7.98 inference(contradiction_clause,[status(thm)],[f17347])).
% 59.94/7.98 fof(f17682,plain,(
% 59.94/7.98 spl0_614 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Int_OPls,c_Int_OPls)),
% 59.94/7.98 introduced(split_symbol_definition)).
% 59.94/7.98 fof(f17684,plain,(
% 59.94/7.98 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Int_OPls,c_Int_OPls)|spl0_614),
% 59.94/7.98 inference(component_clause,[status(thm)],[f17682])).
% 59.94/7.98 fof(f17861,plain,(
% 59.94/7.98 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____)),v_s____)),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))|~spl0_576),
% 59.94/7.98 inference(backward_demodulation,[status(thm)],[f17171,f16247])).
% 59.94/7.98 fof(f17862,plain,(
% 59.94/7.98 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____)),v_s____)),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))|~spl0_576),
% 59.94/7.98 inference(forward_demodulation,[status(thm)],[f17171,f17861])).
% 59.94/7.98 fof(f17863,plain,(
% 59.94/7.98 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____)),v_s____)),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))|~spl0_576),
% 59.94/7.98 inference(forward_demodulation,[status(thm)],[f16303,f17862])).
% 59.94/7.98 fof(f17864,plain,(
% 59.94/7.98 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____)),v_s____)),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))|~spl0_76|~spl0_193|~spl0_192|~spl0_576),
% 59.94/7.98 inference(forward_demodulation,[status(thm)],[f10418,f17863])).
% 59.94/7.98 fof(f17989,plain,(
% 59.94/7.98 spl0_636 <=> c_Int_OBit0(c_Int_OPls)=c_Int_OPls),
% 59.94/7.98 introduced(split_symbol_definition)).
% 59.94/7.98 fof(f17991,plain,(
% 59.94/7.98 ~c_Int_OBit0(c_Int_OPls)=c_Int_OPls|spl0_636),
% 59.94/7.98 inference(component_clause,[status(thm)],[f17989])).
% 59.94/7.98 fof(f17994,plain,(
% 59.94/7.98 ~c_Int_OPls=c_Int_OPls|spl0_636),
% 59.94/7.98 inference(forward_demodulation,[status(thm)],[f1471,f17991])).
% 59.94/7.98 fof(f17995,plain,(
% 59.94/7.98 $false|spl0_636),
% 59.94/7.98 inference(trivial_equality_resolution,[status(esa)],[f17994])).
% 59.94/7.98 fof(f17996,plain,(
% 59.94/7.98 spl0_636),
% 59.94/7.98 inference(contradiction_clause,[status(thm)],[f17995])).
% 59.94/7.98 fof(f18316,plain,(
% 59.94/7.98 ![X0]: (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0)=c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0)))),
% 59.94/7.98 inference(paramodulation,[status(thm)],[f1331,f16805])).
% 59.94/7.98 fof(f18326,plain,(
% 59.94/7.98 ![X0]: (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0))=c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0))),
% 59.94/7.98 inference(paramodulation,[status(thm)],[f15572,f18316])).
% 59.94/7.98 fof(f18436,plain,(
% 59.94/7.98 spl0_643 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sk0_1,sk0_1)),
% 59.94/7.98 introduced(split_symbol_definition)).
% 59.94/7.98 fof(f18438,plain,(
% 59.94/7.98 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sk0_1,sk0_1)|spl0_643),
% 59.94/7.98 inference(component_clause,[status(thm)],[f18436])).
% 59.94/7.98 fof(f18443,plain,(
% 59.94/7.98 $false|spl0_643),
% 59.94/7.98 inference(forward_subsumption_resolution,[status(thm)],[f18438,f4847])).
% 59.94/7.98 fof(f18444,plain,(
% 59.94/7.98 spl0_643),
% 59.94/7.98 inference(contradiction_clause,[status(thm)],[f18443])).
% 59.94/7.98 fof(f18649,plain,(
% 59.94/7.98 ![X0]: (c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X0)=X0)),
% 59.94/7.98 inference(resolution,[status(thm)],[f3431,f4561])).
% 59.94/7.98 fof(f18662,plain,(
% 59.94/7.98 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
% 59.94/7.98 inference(resolution,[status(thm)],[f18649,f16440])).
% 59.94/7.98 fof(f18816,plain,(
% 59.94/7.98 $false|spl0_614),
% 59.94/7.98 inference(forward_subsumption_resolution,[status(thm)],[f17684,f4847])).
% 59.94/7.98 fof(f18817,plain,(
% 59.94/7.98 spl0_614),
% 59.94/7.98 inference(contradiction_clause,[status(thm)],[f18816])).
% 59.94/7.98 fof(f18838,plain,(
% 59.94/7.98 spl0_654 <=> ~c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,X0)=c_Int_OBit0(c_Int_OPls)),
% 59.94/7.98 introduced(split_symbol_definition)).
% 59.94/7.98 fof(f18839,plain,(
% 59.94/7.98 ![X0]: (~c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,X0)=c_Int_OBit0(c_Int_OPls)|~spl0_654)),
% 59.94/7.98 inference(component_clause,[status(thm)],[f18838])).
% 59.94/7.98 fof(f19079,plain,(
% 59.94/7.98 spl0_656 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_d____,v_d____)),
% 59.94/7.98 introduced(split_symbol_definition)).
% 59.94/7.98 fof(f19081,plain,(
% 59.94/7.98 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_d____,v_d____)|spl0_656),
% 59.94/7.98 inference(component_clause,[status(thm)],[f19079])).
% 59.94/7.98 fof(f19086,plain,(
% 59.94/7.98 $false|spl0_656),
% 59.94/7.98 inference(forward_subsumption_resolution,[status(thm)],[f19081,f4847])).
% 59.94/7.98 fof(f19087,plain,(
% 59.94/7.98 spl0_656),
% 59.94/7.98 inference(contradiction_clause,[status(thm)],[f19086])).
% 59.94/7.98 fof(f19188,plain,(
% 59.94/7.98 $false|~spl0_218),
% 59.94/7.98 inference(forward_subsumption_resolution,[status(thm)],[f9168,f14115])).
% 59.94/7.98 fof(f19189,plain,(
% 59.94/7.98 ~spl0_218),
% 59.94/7.98 inference(contradiction_clause,[status(thm)],[f19188])).
% 59.94/7.98 fof(f19203,plain,(
% 59.94/7.98 $false|~spl0_607),
% 59.94/7.98 inference(forward_subsumption_resolution,[status(thm)],[f17332,f5241])).
% 59.94/7.98 fof(f19204,plain,(
% 59.94/7.98 ~spl0_607),
% 59.94/7.98 inference(contradiction_clause,[status(thm)],[f19203])).
% 59.94/7.98 fof(f19205,plain,(
% 59.94/7.98 $false|~spl0_585),
% 59.94/7.98 inference(forward_subsumption_resolution,[status(thm)],[f17218,f5092])).
% 59.94/7.98 fof(f19206,plain,(
% 59.94/7.98 ~spl0_585),
% 59.94/7.98 inference(contradiction_clause,[status(thm)],[f19205])).
% 59.94/7.98 fof(f19212,plain,(
% 59.94/7.98 ![X0]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X0)|~spl0_537)),
% 59.94/7.98 inference(forward_demodulation,[status(thm)],[f15572,f16762])).
% 59.94/7.98 fof(f19213,plain,(
% 59.94/7.98 $false|~spl0_537),
% 59.94/7.98 inference(forward_subsumption_resolution,[status(thm)],[f19212,f4847])).
% 59.94/7.98 fof(f19214,plain,(
% 59.94/7.98 ~spl0_537),
% 59.94/7.98 inference(contradiction_clause,[status(thm)],[f19213])).
% 59.94/7.98 fof(f19215,plain,(
% 59.94/7.98 $false|~spl0_527),
% 59.94/7.98 inference(forward_subsumption_resolution,[status(thm)],[f16287,f4847])).
% 59.94/7.98 fof(f19216,plain,(
% 59.94/7.98 ~spl0_527),
% 59.94/7.98 inference(contradiction_clause,[status(thm)],[f19215])).
% 59.94/7.98 fof(f19217,plain,(
% 59.94/7.98 ![X0]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X0)|~spl0_526)),
% 59.94/7.98 inference(forward_demodulation,[status(thm)],[f15572,f16281])).
% 59.94/7.98 fof(f19218,plain,(
% 59.94/7.98 $false|~spl0_526),
% 59.94/7.98 inference(forward_subsumption_resolution,[status(thm)],[f19217,f4847])).
% 59.94/7.98 fof(f19219,plain,(
% 59.94/7.98 ~spl0_526),
% 59.94/7.98 inference(contradiction_clause,[status(thm)],[f19218])).
% 59.94/7.98 fof(f19227,plain,(
% 59.94/7.98 ![X0]: (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X0)|~spl0_501)),
% 59.94/7.99 inference(forward_demodulation,[status(thm)],[f15572,f16085])).
% 59.94/7.99 fof(f19228,plain,(
% 59.94/7.99 $false|~spl0_501),
% 59.94/7.99 inference(forward_subsumption_resolution,[status(thm)],[f19227,f4846])).
% 59.94/7.99 fof(f19229,plain,(
% 59.94/7.99 ~spl0_501),
% 59.94/7.99 inference(contradiction_clause,[status(thm)],[f19228])).
% 59.94/7.99 fof(f19230,plain,(
% 59.94/7.99 ![X0]: (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X0)|~spl0_499)),
% 59.94/7.99 inference(forward_demodulation,[status(thm)],[f15572,f16073])).
% 59.94/7.99 fof(f19231,plain,(
% 59.94/7.99 $false|~spl0_499),
% 59.94/7.99 inference(forward_subsumption_resolution,[status(thm)],[f19230,f4846])).
% 59.94/7.99 fof(f19232,plain,(
% 59.94/7.99 ~spl0_499),
% 59.94/7.99 inference(contradiction_clause,[status(thm)],[f19231])).
% 59.94/7.99 fof(f19234,plain,(
% 59.94/7.99 $false|~spl0_454),
% 59.94/7.99 inference(forward_subsumption_resolution,[status(thm)],[f15283,f4850])).
% 59.94/7.99 fof(f19235,plain,(
% 59.94/7.99 ~spl0_454),
% 59.94/7.99 inference(contradiction_clause,[status(thm)],[f19234])).
% 59.94/7.99 fof(f19270,plain,(
% 59.94/7.99 spl0_664 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sk0_2,sk0_2)),
% 59.94/7.99 introduced(split_symbol_definition)).
% 59.94/7.99 fof(f19272,plain,(
% 59.94/7.99 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sk0_2,sk0_2)|spl0_664),
% 59.94/7.99 inference(component_clause,[status(thm)],[f19270])).
% 59.94/7.99 fof(f19277,plain,(
% 59.94/7.99 $false|spl0_664),
% 59.94/7.99 inference(forward_subsumption_resolution,[status(thm)],[f19272,f4847])).
% 59.94/7.99 fof(f19278,plain,(
% 59.94/7.99 spl0_664),
% 59.94/7.99 inference(contradiction_clause,[status(thm)],[f19277])).
% 59.94/7.99 fof(f19283,plain,(
% 59.94/7.99 spl0_666 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Opi,c_Transcendental_Opi)),
% 59.94/7.99 introduced(split_symbol_definition)).
% 59.94/7.99 fof(f19285,plain,(
% 59.94/7.99 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Opi,c_Transcendental_Opi)|spl0_666),
% 59.94/7.99 inference(component_clause,[status(thm)],[f19283])).
% 59.94/7.99 fof(f19290,plain,(
% 59.94/7.99 $false|spl0_666),
% 59.94/7.99 inference(forward_subsumption_resolution,[status(thm)],[f19285,f4847])).
% 59.94/7.99 fof(f19291,plain,(
% 59.94/7.99 spl0_666),
% 59.94/7.99 inference(contradiction_clause,[status(thm)],[f19290])).
% 59.94/7.99 fof(f19596,plain,(
% 59.94/7.99 spl0_667 <=> class_Groups_Ogroup__add(tc_RealDef_Oreal)),
% 59.94/7.99 introduced(split_symbol_definition)).
% 59.94/7.99 fof(f19598,plain,(
% 59.94/7.99 ~class_Groups_Ogroup__add(tc_RealDef_Oreal)|spl0_667),
% 59.94/7.99 inference(component_clause,[status(thm)],[f19596])).
% 59.94/7.99 fof(f19606,plain,(
% 59.94/7.99 spl0_669 <=> class_Groups_Ogroup__add(tc_Complex_Ocomplex)),
% 59.94/7.99 introduced(split_symbol_definition)).
% 59.94/7.99 fof(f19608,plain,(
% 59.94/7.99 ~class_Groups_Ogroup__add(tc_Complex_Ocomplex)|spl0_669),
% 59.94/7.99 inference(component_clause,[status(thm)],[f19606])).
% 59.94/7.99 fof(f19614,plain,(
% 59.94/7.99 spl0_671 <=> class_Groups_Ogroup__add(tc_Int_Oint)),
% 59.94/7.99 introduced(split_symbol_definition)).
% 59.94/7.99 fof(f19616,plain,(
% 59.94/7.99 ~class_Groups_Ogroup__add(tc_Int_Oint)|spl0_671),
% 59.94/7.99 inference(component_clause,[status(thm)],[f19614])).
% 59.94/7.99 fof(f19705,plain,(
% 59.94/7.99 $false|spl0_669),
% 59.94/7.99 inference(forward_subsumption_resolution,[status(thm)],[f19608,f4576])).
% 59.94/7.99 fof(f19706,plain,(
% 59.94/7.99 spl0_669),
% 59.94/7.99 inference(contradiction_clause,[status(thm)],[f19705])).
% 59.94/7.99 fof(f19707,plain,(
% 59.94/7.99 $false|spl0_671),
% 59.94/7.99 inference(forward_subsumption_resolution,[status(thm)],[f19616,f4435])).
% 59.94/7.99 fof(f19708,plain,(
% 59.94/7.99 spl0_671),
% 59.94/7.99 inference(contradiction_clause,[status(thm)],[f19707])).
% 59.94/7.99 fof(f19709,plain,(
% 59.94/7.99 $false|spl0_667),
% 59.94/7.99 inference(forward_subsumption_resolution,[status(thm)],[f19598,f4533])).
% 59.94/7.99 fof(f19710,plain,(
% 59.94/7.99 spl0_667),
% 59.94/7.99 inference(contradiction_clause,[status(thm)],[f19709])).
% 59.94/7.99 fof(f19716,plain,(
% 59.94/7.99 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 59.94/7.99 inference(forward_demodulation,[status(thm)],[f18649,f18662])).
% 59.94/7.99 fof(f20065,plain,(
% 59.94/7.99 spl0_694 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_s____,v_s____)),
% 59.94/7.99 introduced(split_symbol_definition)).
% 59.94/7.99 fof(f20067,plain,(
% 59.94/7.99 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_s____,v_s____)|spl0_694),
% 59.94/7.99 inference(component_clause,[status(thm)],[f20065])).
% 59.94/7.99 fof(f20072,plain,(
% 59.94/7.99 $false|spl0_694),
% 59.94/7.99 inference(forward_subsumption_resolution,[status(thm)],[f20067,f4847])).
% 59.94/7.99 fof(f20073,plain,(
% 59.94/7.99 spl0_694),
% 59.94/7.99 inference(contradiction_clause,[status(thm)],[f20072])).
% 59.94/7.99 fof(f20184,plain,(
% 59.94/7.99 spl0_695 <=> c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 59.94/7.99 introduced(split_symbol_definition)).
% 59.94/7.99 fof(f20186,plain,(
% 59.94/7.99 ~c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|spl0_695),
% 59.94/7.99 inference(component_clause,[status(thm)],[f20184])).
% 59.94/7.99 fof(f20189,plain,(
% 59.94/7.99 $false|spl0_695),
% 59.94/7.99 inference(trivial_equality_resolution,[status(esa)],[f20186])).
% 59.94/7.99 fof(f20190,plain,(
% 59.94/7.99 spl0_695),
% 59.94/7.99 inference(contradiction_clause,[status(thm)],[f20189])).
% 59.94/7.99 fof(f20481,plain,(
% 59.94/7.99 ~c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|spl0_15),
% 59.94/7.99 inference(paramodulation,[status(thm)],[f19716,f5103])).
% 59.94/7.99 fof(f20482,plain,(
% 59.94/7.99 ~c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|spl0_15),
% 59.94/7.99 inference(forward_demodulation,[status(thm)],[f4986,f20481])).
% 59.94/7.99 fof(f20483,plain,(
% 59.94/7.99 $false|spl0_15),
% 59.94/7.99 inference(trivial_equality_resolution,[status(esa)],[f20482])).
% 59.94/7.99 fof(f20484,plain,(
% 59.94/7.99 spl0_15),
% 59.94/7.99 inference(contradiction_clause,[status(thm)],[f20483])).
% 59.94/7.99 fof(f20487,plain,(
% 59.94/7.99 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 59.94/7.99 inference(paramodulation,[status(thm)],[f19716,f18326])).
% 59.94/7.99 fof(f20488,plain,(
% 59.94/7.99 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 59.94/7.99 inference(forward_demodulation,[status(thm)],[f4986,f20487])).
% 59.94/7.99 fof(f20515,plain,(
% 59.94/7.99 spl0_697 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
% 59.94/7.99 introduced(split_symbol_definition)).
% 59.94/7.99 fof(f20517,plain,(
% 59.94/7.99 ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat)))|spl0_697),
% 59.94/7.99 inference(component_clause,[status(thm)],[f20515])).
% 59.94/7.99 fof(f20571,plain,(
% 59.94/7.99 spl0_701 <=> ~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Oone__class_Oone(tc_Nat_Onat))),
% 59.94/7.99 introduced(split_symbol_definition)).
% 59.94/7.99 fof(f20572,plain,(
% 59.94/7.99 ![X0]: (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Oone__class_Oone(tc_Nat_Onat))|~spl0_701)),
% 59.94/7.99 inference(component_clause,[status(thm)],[f20571])).
% 59.94/7.99 fof(f20598,plain,(
% 59.94/7.99 spl0_703 <=> c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=c_Groups_Oone__class_Oone(tc_Nat_Onat)),
% 59.94/7.99 introduced(split_symbol_definition)).
% 59.94/7.99 fof(f20599,plain,(
% 59.94/7.99 c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=c_Groups_Oone__class_Oone(tc_Nat_Onat)|~spl0_703),
% 59.94/7.99 inference(component_clause,[status(thm)],[f20598])).
% 59.94/7.99 fof(f20618,plain,(
% 59.94/7.99 $false|~spl0_703),
% 59.94/7.99 inference(forward_subsumption_resolution,[status(thm)],[f20599,f13919])).
% 59.94/7.99 fof(f20619,plain,(
% 59.94/7.99 ~spl0_703),
% 59.94/7.99 inference(contradiction_clause,[status(thm)],[f20618])).
% 59.94/7.99 fof(f20649,plain,(
% 59.94/7.99 ![X0]: (~X0=c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X0)|X0=c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
% 59.94/7.99 inference(resolution,[status(thm)],[f1643,f4403])).
% 59.94/7.99 fof(f20679,plain,(
% 59.94/7.99 spl0_708 <=> c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OPls)=c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Int_OPls,c_Int_OPls)),
% 59.94/7.99 introduced(split_symbol_definition)).
% 59.94/7.99 fof(f20681,plain,(
% 59.94/7.99 ~c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OPls)=c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Int_OPls,c_Int_OPls)|spl0_708),
% 59.94/7.99 inference(component_clause,[status(thm)],[f20679])).
% 59.94/7.99 fof(f20691,plain,(
% 59.94/7.99 $false|spl0_708),
% 59.94/7.99 inference(forward_subsumption_resolution,[status(thm)],[f20681,f5242])).
% 59.94/7.99 fof(f20692,plain,(
% 59.94/7.99 spl0_708),
% 59.94/7.99 inference(contradiction_clause,[status(thm)],[f20691])).
% 59.94/7.99 fof(f21465,plain,(
% 59.94/7.99 spl0_747 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Int_OPls),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Int_OPls))),
% 59.94/7.99 introduced(split_symbol_definition)).
% 59.94/7.99 fof(f21467,plain,(
% 59.94/7.99 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Int_OPls),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Int_OPls))|spl0_747),
% 59.94/7.99 inference(component_clause,[status(thm)],[f21465])).
% 59.94/7.99 fof(f21484,plain,(
% 59.94/7.99 $false|spl0_747),
% 59.94/7.99 inference(forward_subsumption_resolution,[status(thm)],[f21467,f4847])).
% 59.94/7.99 fof(f21485,plain,(
% 59.94/7.99 spl0_747),
% 59.94/7.99 inference(contradiction_clause,[status(thm)],[f21484])).
% 59.94/7.99 fof(f21496,plain,(
% 59.94/7.99 $false|~spl0_701),
% 59.94/7.99 inference(backward_subsumption_resolution,[status(thm)],[f13914,f20572])).
% 59.94/7.99 fof(f21497,plain,(
% 59.94/7.99 ~spl0_701),
% 59.94/7.99 inference(contradiction_clause,[status(thm)],[f21496])).
% 59.94/7.99 fof(f21500,plain,(
% 59.94/7.99 ![X0]: (~c_Int_OBit0(c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,X0))=c_Int_OBit0(c_Int_OPls)|~spl0_654)),
% 59.94/7.99 inference(paramodulation,[status(thm)],[f1346,f18839])).
% 59.94/7.99 fof(f21501,plain,(
% 59.94/7.99 ~c_Int_OBit0(c_Int_OPls)=c_Int_OBit0(c_Int_OPls)|~spl0_654),
% 59.94/7.99 inference(forward_demodulation,[status(thm)],[f5241,f21500])).
% 59.94/7.99 fof(f21502,plain,(
% 59.94/7.99 $false|~spl0_654),
% 59.94/7.99 inference(trivial_equality_resolution,[status(esa)],[f21501])).
% 59.94/7.99 fof(f21503,plain,(
% 59.94/7.99 ~spl0_654),
% 59.94/7.99 inference(contradiction_clause,[status(thm)],[f21502])).
% 59.94/7.99 fof(f21708,plain,(
% 59.94/7.99 c_Groups_Oone__class_Oone(tc_Int_Oint)=c_Int_OBit1(c_Int_OPls)),
% 59.94/7.99 inference(paramodulation,[status(thm)],[f1891,f2269])).
% 59.94/7.99 fof(f21743,plain,(
% 59.94/7.99 spl0_767 <=> class_Rings_Ozero__neq__one(tc_Int_Oint)),
% 59.94/7.99 introduced(split_symbol_definition)).
% 59.94/7.99 fof(f21745,plain,(
% 59.94/7.99 ~class_Rings_Ozero__neq__one(tc_Int_Oint)|spl0_767),
% 59.94/7.99 inference(component_clause,[status(thm)],[f21743])).
% 59.94/7.99 fof(f21751,plain,(
% 59.94/7.99 $false|spl0_767),
% 59.94/7.99 inference(forward_subsumption_resolution,[status(thm)],[f21745,f4428])).
% 59.94/7.99 fof(f21752,plain,(
% 59.94/7.99 spl0_767),
% 59.94/7.99 inference(contradiction_clause,[status(thm)],[f21751])).
% 59.94/7.99 fof(f21876,plain,(
% 59.94/7.99 spl0_771 <=> class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal)),
% 59.94/7.99 introduced(split_symbol_definition)).
% 59.94/7.99 fof(f21878,plain,(
% 59.94/7.99 ~class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal)|spl0_771),
% 59.94/7.99 inference(component_clause,[status(thm)],[f21876])).
% 59.94/7.99 fof(f21909,plain,(
% 59.94/7.99 spl0_778 <=> class_Groups_Oordered__ab__group__add(tc_Int_Oint)),
% 59.94/7.99 introduced(split_symbol_definition)).
% 59.94/7.99 fof(f21911,plain,(
% 59.94/7.99 ~class_Groups_Oordered__ab__group__add(tc_Int_Oint)|spl0_778),
% 59.94/7.99 inference(component_clause,[status(thm)],[f21909])).
% 59.94/7.99 fof(f22195,plain,(
% 59.94/7.99 spl0_836 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X2)),
% 59.94/7.99 introduced(split_symbol_definition)).
% 59.94/7.99 fof(f22196,plain,(
% 59.94/7.99 ![X0]: (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X0)|~spl0_836)),
% 59.94/7.99 inference(component_clause,[status(thm)],[f22195])).
% 59.94/7.99 fof(f22314,plain,(
% 59.94/7.99 $false|spl0_771),
% 59.94/7.99 inference(forward_subsumption_resolution,[status(thm)],[f21878,f4505])).
% 59.94/7.99 fof(f22315,plain,(
% 59.94/7.99 spl0_771),
% 59.94/7.99 inference(contradiction_clause,[status(thm)],[f22314])).
% 59.94/7.99 fof(f22316,plain,(
% 59.94/7.99 $false|spl0_778),
% 59.94/7.99 inference(forward_subsumption_resolution,[status(thm)],[f21911,f4411])).
% 59.94/7.99 fof(f22317,plain,(
% 59.94/7.99 spl0_778),
% 59.94/7.99 inference(contradiction_clause,[status(thm)],[f22316])).
% 59.94/7.99 fof(f23350,plain,(
% 59.94/7.99 spl0_902 <=> c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
% 59.94/7.99 introduced(split_symbol_definition)).
% 59.94/7.99 fof(f23352,plain,(
% 59.94/7.99 ~c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|spl0_902),
% 59.94/7.99 inference(component_clause,[status(thm)],[f23350])).
% 59.94/7.99 fof(f23462,plain,(
% 59.94/7.99 ![X0]: (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),X0))),
% 59.94/7.99 inference(paramodulation,[status(thm)],[f2404,f10754])).
% 59.94/7.99 fof(f23476,plain,(
% 59.94/7.99 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Nat_OSuc(X0)))),
% 59.94/7.99 inference(paramodulation,[status(thm)],[f2404,f2995])).
% 59.94/7.99 fof(f23499,plain,(
% 59.94/7.99 ~c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|spl0_902),
% 59.94/7.99 inference(forward_demodulation,[status(thm)],[f2358,f23352])).
% 59.94/7.99 fof(f23500,plain,(
% 59.94/7.99 $false|spl0_902),
% 59.94/7.99 inference(forward_subsumption_resolution,[status(thm)],[f23499,f2935])).
% 59.94/7.99 fof(f23501,plain,(
% 59.94/7.99 spl0_902),
% 59.94/7.99 inference(contradiction_clause,[status(thm)],[f23500])).
% 59.94/7.99 fof(f23511,plain,(
% 59.94/7.99 $false|spl0_697),
% 59.94/7.99 inference(backward_subsumption_resolution,[status(thm)],[f20517,f23476])).
% 59.94/7.99 fof(f23512,plain,(
% 59.94/7.99 spl0_697),
% 59.94/7.99 inference(contradiction_clause,[status(thm)],[f23511])).
% 59.94/7.99 fof(f23535,plain,(
% 59.94/7.99 spl0_913 <=> ~X0=X0),
% 59.94/7.99 introduced(split_symbol_definition)).
% 59.94/7.99 fof(f23536,plain,(
% 59.94/7.99 ![X0]: (~X0=X0|~spl0_913)),
% 59.94/7.99 inference(component_clause,[status(thm)],[f23535])).
% 59.94/7.99 fof(f23844,plain,(
% 59.94/7.99 $false|~spl0_913),
% 59.94/7.99 inference(trivial_equality_resolution,[status(esa)],[f23536])).
% 59.94/7.99 fof(f23845,plain,(
% 59.94/7.99 ~spl0_913),
% 59.94/7.99 inference(contradiction_clause,[status(thm)],[f23844])).
% 59.94/7.99 fof(f23857,plain,(
% 59.94/7.99 $false|~spl0_836),
% 59.94/7.99 inference(forward_subsumption_resolution,[status(thm)],[f22196,f4846])).
% 59.94/7.99 fof(f23858,plain,(
% 59.94/7.99 ~spl0_836),
% 59.94/7.99 inference(contradiction_clause,[status(thm)],[f23857])).
% 59.94/7.99 fof(f23972,plain,(
% 59.94/7.99 spl0_929 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
% 59.94/7.99 introduced(split_symbol_definition)).
% 59.94/7.99 fof(f23974,plain,(
% 59.94/7.99 ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Groups_Ozero__class_Ozero(tc_Int_Oint))|spl0_929),
% 59.94/7.99 inference(component_clause,[status(thm)],[f23972])).
% 59.94/7.99 fof(f23983,plain,(
% 59.94/7.99 ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OPls)|spl0_929),
% 59.94/7.99 inference(forward_demodulation,[status(thm)],[f1550,f23974])).
% 59.94/7.99 fof(f23984,plain,(
% 59.94/7.99 $false|spl0_929),
% 59.94/7.99 inference(forward_subsumption_resolution,[status(thm)],[f23983,f2596])).
% 59.94/7.99 fof(f23985,plain,(
% 59.94/7.99 spl0_929),
% 59.94/7.99 inference(contradiction_clause,[status(thm)],[f23984])).
% 59.94/7.99 fof(f24001,plain,(
% 59.94/7.99 spl0_933 <=> c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))=c_Groups_Oone__class_Oone(tc_Int_Oint)),
% 59.94/7.99 introduced(split_symbol_definition)).
% 59.94/7.99 fof(f24002,plain,(
% 59.94/7.99 c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))=c_Groups_Oone__class_Oone(tc_Int_Oint)|~spl0_933),
% 59.94/7.99 inference(component_clause,[status(thm)],[f24001])).
% 59.94/7.99 fof(f24331,plain,(
% 59.94/7.99 $false|spl0_78),
% 59.94/7.99 inference(trivial_equality_resolution,[status(esa)],[f6627])).
% 59.94/7.99 fof(f24332,plain,(
% 59.94/7.99 spl0_78),
% 59.94/7.99 inference(contradiction_clause,[status(thm)],[f24331])).
% 59.94/7.99 fof(f25561,plain,(
% 59.94/7.99 spl0_980 <=> class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal)),
% 59.94/7.99 introduced(split_symbol_definition)).
% 59.94/7.99 fof(f25563,plain,(
% 59.94/7.99 ~class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal)|spl0_980),
% 59.94/7.99 inference(component_clause,[status(thm)],[f25561])).
% 59.94/7.99 fof(f25566,plain,(
% 59.94/7.99 spl0_981 <=> class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint)),
% 59.94/7.99 introduced(split_symbol_definition)).
% 59.94/7.99 fof(f25568,plain,(
% 59.94/7.99 ~class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint)|spl0_981),
% 59.94/7.99 inference(component_clause,[status(thm)],[f25566])).
% 59.94/7.99 fof(f25628,plain,(
% 59.94/7.99 spl0_993 <=> c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 59.94/7.99 introduced(split_symbol_definition)).
% 59.94/7.99 fof(f25629,plain,(
% 59.94/7.99 c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_993),
% 59.94/7.99 inference(component_clause,[status(thm)],[f25628])).
% 59.94/7.99 fof(f25657,plain,(
% 59.94/7.99 $false|spl0_980),
% 59.94/7.99 inference(forward_subsumption_resolution,[status(thm)],[f25563,f4492])).
% 59.94/7.99 fof(f25658,plain,(
% 59.94/7.99 spl0_980),
% 59.94/7.99 inference(contradiction_clause,[status(thm)],[f25657])).
% 59.94/7.99 fof(f25659,plain,(
% 59.94/7.99 $false|spl0_981),
% 59.94/7.99 inference(forward_subsumption_resolution,[status(thm)],[f25568,f4401])).
% 59.94/7.99 fof(f25660,plain,(
% 59.94/7.99 spl0_981),
% 59.94/7.99 inference(contradiction_clause,[status(thm)],[f25659])).
% 59.94/7.99 fof(f26081,plain,(
% 59.94/7.99 spl0_1009 <=> X0=c_Nat_OSuc(X0)),
% 59.94/7.99 introduced(split_symbol_definition)).
% 59.94/7.99 fof(f26082,plain,(
% 59.94/7.99 ![X0]: (X0=c_Nat_OSuc(X0)|~spl0_1009)),
% 59.94/7.99 inference(component_clause,[status(thm)],[f26081])).
% 59.94/7.99 fof(f26142,plain,(
% 59.94/7.99 spl0_1011 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X1),X1)),
% 59.94/7.99 introduced(split_symbol_definition)).
% 59.94/7.99 fof(f26143,plain,(
% 59.94/7.99 ![X0]: (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),X0)|~spl0_1011)),
% 59.94/7.99 inference(component_clause,[status(thm)],[f26142])).
% 59.94/7.99 fof(f26157,plain,(
% 59.94/7.99 spl0_1013 <=> ~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,c_Nat_OSuc(X2))),
% 59.94/7.99 introduced(split_symbol_definition)).
% 59.94/7.99 fof(f26158,plain,(
% 59.94/7.99 ![X0]: (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X0))|~spl0_1013)),
% 59.94/7.99 inference(component_clause,[status(thm)],[f26157])).
% 59.94/7.99 fof(f26444,plain,(
% 59.94/7.99 spl0_1031 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
% 59.94/7.99 introduced(split_symbol_definition)).
% 59.94/7.99 fof(f26445,plain,(
% 59.94/7.99 c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))|~spl0_1031),
% 59.94/7.99 inference(component_clause,[status(thm)],[f26444])).
% 59.94/7.99 fof(f26452,plain,(
% 59.94/7.99 spl0_1033 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
% 59.94/7.99 introduced(split_symbol_definition)).
% 59.94/7.99 fof(f26454,plain,(
% 59.94/7.99 ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))|spl0_1033),
% 59.94/7.99 inference(component_clause,[status(thm)],[f26452])).
% 59.94/7.99 fof(f26479,plain,(
% 59.94/7.99 $false|spl0_1033),
% 59.94/7.99 inference(forward_subsumption_resolution,[status(thm)],[f26454,f4930])).
% 59.94/7.99 fof(f26480,plain,(
% 59.94/7.99 spl0_1033),
% 59.94/7.99 inference(contradiction_clause,[status(thm)],[f26479])).
% 59.94/7.99 fof(f26833,plain,(
% 59.94/7.99 spl0_1042 <=> c_Transcendental_Opi=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 59.94/7.99 introduced(split_symbol_definition)).
% 59.94/7.99 fof(f26834,plain,(
% 59.94/7.99 c_Transcendental_Opi=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_1042),
% 59.94/7.99 inference(component_clause,[status(thm)],[f26833])).
% 59.94/7.99 fof(f31113,plain,(
% 59.94/7.99 spl0_1221 <=> c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OBit1(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))=c_Int_OBit1(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),
% 59.94/7.99 introduced(split_symbol_definition)).
% 59.94/7.99 fof(f31114,plain,(
% 59.94/7.99 c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OBit1(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))=c_Int_OBit1(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))|~spl0_1221),
% 59.94/7.99 inference(component_clause,[status(thm)],[f31113])).
% 59.94/7.99 fof(f31186,plain,(
% 59.94/7.99 spl0_1230 <=> c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OBit1(c_Int_OBit0(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))))=c_Int_OBit1(c_Int_OBit0(c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))),
% 59.94/7.99 introduced(split_symbol_definition)).
% 59.94/7.99 fof(f31187,plain,(
% 59.94/7.99 c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OBit1(c_Int_OBit0(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))))=c_Int_OBit1(c_Int_OBit0(c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))|~spl0_1230),
% 59.94/7.99 inference(component_clause,[status(thm)],[f31186])).
% 59.94/7.99 fof(f31259,plain,(
% 59.94/7.99 spl0_1239 <=> c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OBit1(c_Int_OBit1(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))=c_Int_OBit1(c_Int_OBit1(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),
% 59.94/7.99 introduced(split_symbol_definition)).
% 59.94/7.99 fof(f31260,plain,(
% 59.94/7.99 c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OBit1(c_Int_OBit1(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))=c_Int_OBit1(c_Int_OBit1(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))|~spl0_1239),
% 59.94/7.99 inference(component_clause,[status(thm)],[f31259])).
% 59.94/7.99 fof(f32426,plain,(
% 59.94/7.99 spl0_1263 <=> c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OBit1(c_Int_OBit1(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))))=c_Int_OBit1(c_Int_OBit1(c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))),
% 59.94/7.99 introduced(split_symbol_definition)).
% 59.94/7.99 fof(f32427,plain,(
% 59.94/7.99 c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OBit1(c_Int_OBit1(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))))=c_Int_OBit1(c_Int_OBit1(c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))|~spl0_1263),
% 59.94/7.99 inference(component_clause,[status(thm)],[f32426])).
% 59.94/7.99 fof(f32494,plain,(
% 59.94/7.99 c_Int_OBit1(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|~spl0_1221),
% 59.94/7.99 inference(resolution,[status(thm)],[f31114,f20649])).
% 59.94/7.99 fof(f32495,plain,(
% 59.94/7.99 c_Int_OBit1(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))=c_Int_OPls|~spl0_1221),
% 59.94/7.99 inference(forward_demodulation,[status(thm)],[f1550,f32494])).
% 59.94/7.99 fof(f32496,plain,(
% 59.94/7.99 $false|~spl0_1221),
% 59.94/7.99 inference(forward_subsumption_resolution,[status(thm)],[f32495,f1459])).
% 59.94/7.99 fof(f32497,plain,(
% 59.94/7.99 ~spl0_1221),
% 59.94/7.99 inference(contradiction_clause,[status(thm)],[f32496])).
% 59.94/7.99 fof(f32598,plain,(
% 59.94/7.99 c_Int_OBit1(c_Int_OBit0(c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|~spl0_1230),
% 59.94/7.99 inference(resolution,[status(thm)],[f31187,f20649])).
% 59.94/7.99 fof(f32599,plain,(
% 59.94/7.99 c_Int_OBit1(c_Int_OBit0(c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))=c_Int_OPls|~spl0_1230),
% 59.94/7.99 inference(forward_demodulation,[status(thm)],[f1550,f32598])).
% 59.94/7.99 fof(f32600,plain,(
% 59.94/7.99 $false|~spl0_1230),
% 59.94/7.99 inference(forward_subsumption_resolution,[status(thm)],[f32599,f1459])).
% 59.94/7.99 fof(f32601,plain,(
% 59.94/7.99 ~spl0_1230),
% 59.94/7.99 inference(contradiction_clause,[status(thm)],[f32600])).
% 59.94/7.99 fof(f32700,plain,(
% 59.94/7.99 c_Int_OBit1(c_Int_OBit1(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|~spl0_1239),
% 59.94/7.99 inference(resolution,[status(thm)],[f31260,f20649])).
% 59.94/7.99 fof(f32701,plain,(
% 59.94/7.99 c_Int_OBit1(c_Int_OBit1(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))=c_Int_OPls|~spl0_1239),
% 59.94/7.99 inference(forward_demodulation,[status(thm)],[f1550,f32700])).
% 59.94/7.99 fof(f32702,plain,(
% 59.94/7.99 $false|~spl0_1239),
% 59.94/7.99 inference(forward_subsumption_resolution,[status(thm)],[f32701,f1459])).
% 59.94/7.99 fof(f32703,plain,(
% 59.94/7.99 ~spl0_1239),
% 59.94/7.99 inference(contradiction_clause,[status(thm)],[f32702])).
% 59.94/7.99 fof(f32810,plain,(
% 59.94/7.99 spl0_1300 <=> c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 59.94/7.99 introduced(split_symbol_definition)).
% 59.94/7.99 fof(f32812,plain,(
% 59.94/7.99 ~c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|spl0_1300),
% 59.94/7.99 inference(component_clause,[status(thm)],[f32810])).
% 59.94/7.99 fof(f32815,plain,(
% 59.94/7.99 ~c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|spl0_1300),
% 59.94/7.99 inference(forward_demodulation,[status(thm)],[f20488,f32812])).
% 59.94/7.99 fof(f32816,plain,(
% 59.94/7.99 $false|spl0_1300),
% 59.94/7.99 inference(trivial_equality_resolution,[status(esa)],[f32815])).
% 59.94/7.99 fof(f32817,plain,(
% 59.94/7.99 spl0_1300),
% 59.94/7.99 inference(contradiction_clause,[status(thm)],[f32816])).
% 59.94/7.99 fof(f32835,plain,(
% 59.94/7.99 c_Int_OBit1(c_Int_OBit1(c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|~spl0_1263),
% 59.94/7.99 inference(resolution,[status(thm)],[f32427,f20649])).
% 59.94/7.99 fof(f32836,plain,(
% 59.94/7.99 c_Int_OBit1(c_Int_OBit1(c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))=c_Int_OPls|~spl0_1263),
% 59.94/7.99 inference(forward_demodulation,[status(thm)],[f1550,f32835])).
% 59.94/7.99 fof(f32837,plain,(
% 59.94/7.99 $false|~spl0_1263),
% 59.94/7.99 inference(forward_subsumption_resolution,[status(thm)],[f32836,f1459])).
% 59.94/7.99 fof(f32838,plain,(
% 59.94/7.99 ~spl0_1263),
% 59.94/7.99 inference(contradiction_clause,[status(thm)],[f32837])).
% 59.94/7.99 fof(f32945,plain,(
% 59.94/7.99 spl0_1313 <=> c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OBit1(c_Int_OBit1(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))=c_Int_OBit1(c_Int_OBit1(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),
% 59.94/7.99 introduced(split_symbol_definition)).
% 59.94/7.99 fof(f32946,plain,(
% 59.94/7.99 c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OBit1(c_Int_OBit1(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))=c_Int_OBit1(c_Int_OBit1(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))|~spl0_1313),
% 59.94/7.99 inference(component_clause,[status(thm)],[f32945])).
% 59.94/7.99 fof(f33027,plain,(
% 59.94/7.99 spl0_1322 <=> c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OBit1(c_Int_OBit0(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))=c_Int_OBit1(c_Int_OBit0(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),
% 59.94/7.99 introduced(split_symbol_definition)).
% 59.94/7.99 fof(f33028,plain,(
% 59.94/7.99 c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OBit1(c_Int_OBit0(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))=c_Int_OBit1(c_Int_OBit0(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))|~spl0_1322),
% 59.94/7.99 inference(component_clause,[status(thm)],[f33027])).
% 59.94/7.99 fof(f33104,plain,(
% 59.94/7.99 spl0_1331 <=> c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OBit1(c_Int_OBit1(c_Int_OBit0(c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))))=c_Int_OBit1(c_Int_OBit1(c_Int_OBit0(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))))),
% 59.94/7.99 introduced(split_symbol_definition)).
% 59.94/7.99 fof(f33105,plain,(
% 59.94/7.99 c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OBit1(c_Int_OBit1(c_Int_OBit0(c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))))=c_Int_OBit1(c_Int_OBit1(c_Int_OBit0(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))))|~spl0_1331),
% 59.94/7.99 inference(component_clause,[status(thm)],[f33104])).
% 59.94/7.99 fof(f34436,plain,(
% 59.94/7.99 spl0_1363 <=> c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OBit1(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))))=c_Int_OBit1(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))))),
% 59.94/7.99 introduced(split_symbol_definition)).
% 59.94/7.99 fof(f34437,plain,(
% 59.94/7.99 c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OBit1(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))))=c_Int_OBit1(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))))|~spl0_1363),
% 59.94/7.99 inference(component_clause,[status(thm)],[f34436])).
% 59.94/7.99 fof(f34513,plain,(
% 59.94/7.99 spl0_1372 <=> c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OBit1(c_Int_OBit1(c_Int_OBit1(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))=c_Int_OBit1(c_Int_OBit1(c_Int_OBit1(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),
% 59.94/7.99 introduced(split_symbol_definition)).
% 59.94/7.99 fof(f34514,plain,(
% 59.94/7.99 c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OBit1(c_Int_OBit1(c_Int_OBit1(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))=c_Int_OBit1(c_Int_OBit1(c_Int_OBit1(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))|~spl0_1372),
% 59.94/7.99 inference(component_clause,[status(thm)],[f34513])).
% 59.94/7.99 fof(f34702,plain,(
% 59.94/7.99 spl0_1381 <=> c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OBit1(c_Int_OBit0(c_Int_OBit1(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))=c_Int_OBit1(c_Int_OBit0(c_Int_OBit1(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),
% 59.94/7.99 introduced(split_symbol_definition)).
% 59.94/7.99 fof(f34703,plain,(
% 59.94/7.99 c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OBit1(c_Int_OBit0(c_Int_OBit1(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))=c_Int_OBit1(c_Int_OBit0(c_Int_OBit1(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))|~spl0_1381),
% 59.94/7.99 inference(component_clause,[status(thm)],[f34702])).
% 59.94/7.99 fof(f34929,plain,(
% 59.94/7.99 c_Int_OBit1(c_Int_OBit1(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|~spl0_1313),
% 59.94/7.99 inference(resolution,[status(thm)],[f32946,f20649])).
% 59.94/7.99 fof(f34930,plain,(
% 59.94/7.99 c_Int_OBit1(c_Int_OBit1(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))=c_Int_OPls|~spl0_1313),
% 59.94/7.99 inference(forward_demodulation,[status(thm)],[f1550,f34929])).
% 59.94/7.99 fof(f34931,plain,(
% 59.94/7.99 $false|~spl0_1313),
% 59.94/7.99 inference(forward_subsumption_resolution,[status(thm)],[f34930,f1459])).
% 59.94/7.99 fof(f34932,plain,(
% 59.94/7.99 ~spl0_1313),
% 59.94/7.99 inference(contradiction_clause,[status(thm)],[f34931])).
% 59.94/7.99 fof(f36332,plain,(
% 59.94/7.99 spl0_1447 <=> c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0)=c_Int_OBit1(c_Int_OPls)),
% 59.94/7.99 introduced(split_symbol_definition)).
% 59.94/7.99 fof(f36333,plain,(
% 59.94/7.99 ![X0]: (c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0)=c_Int_OBit1(c_Int_OPls)|~spl0_1447)),
% 59.94/7.99 inference(component_clause,[status(thm)],[f36332])).
% 59.94/7.99 fof(f36877,plain,(
% 59.94/7.99 c_Int_OBit0(c_Int_OBit1(c_Int_OPls))=c_Int_OBit1(c_Int_OPls)|~spl0_1447),
% 59.94/7.99 inference(paramodulation,[status(thm)],[f7949,f36333])).
% 59.94/7.99 fof(f36878,plain,(
% 59.94/7.99 $false|~spl0_1447),
% 59.94/7.99 inference(forward_subsumption_resolution,[status(thm)],[f36877,f1461])).
% 59.94/7.99 fof(f36879,plain,(
% 59.94/7.99 ~spl0_1447),
% 59.94/7.99 inference(contradiction_clause,[status(thm)],[f36878])).
% 59.94/7.99 fof(f37156,plain,(
% 59.94/7.99 c_Int_OBit1(c_Int_OBit0(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|~spl0_1322),
% 59.94/7.99 inference(resolution,[status(thm)],[f33028,f20649])).
% 59.94/7.99 fof(f37157,plain,(
% 59.94/7.99 c_Int_OBit1(c_Int_OBit0(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))=c_Int_OPls|~spl0_1322),
% 59.94/7.99 inference(forward_demodulation,[status(thm)],[f1550,f37156])).
% 59.94/7.99 fof(f37158,plain,(
% 59.94/7.99 $false|~spl0_1322),
% 59.94/7.99 inference(forward_subsumption_resolution,[status(thm)],[f37157,f1459])).
% 59.94/7.99 fof(f37159,plain,(
% 59.94/7.99 ~spl0_1322),
% 59.94/7.99 inference(contradiction_clause,[status(thm)],[f37158])).
% 59.94/7.99 fof(f37270,plain,(
% 59.94/7.99 c_Int_OBit1(c_Int_OBit1(c_Int_OBit0(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))))=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|~spl0_1331),
% 59.94/7.99 inference(resolution,[status(thm)],[f33105,f20649])).
% 59.94/7.99 fof(f37271,plain,(
% 59.94/7.99 c_Int_OBit1(c_Int_OBit1(c_Int_OBit0(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))))=c_Int_OPls|~spl0_1331),
% 59.94/7.99 inference(forward_demodulation,[status(thm)],[f1550,f37270])).
% 59.94/7.99 fof(f37272,plain,(
% 59.94/7.99 $false|~spl0_1331),
% 59.94/7.99 inference(forward_subsumption_resolution,[status(thm)],[f37271,f1459])).
% 59.94/7.99 fof(f37273,plain,(
% 59.94/7.99 ~spl0_1331),
% 59.94/7.99 inference(contradiction_clause,[status(thm)],[f37272])).
% 59.94/7.99 fof(f37386,plain,(
% 59.94/7.99 c_Int_OBit1(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))))=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|~spl0_1363),
% 59.94/7.99 inference(resolution,[status(thm)],[f34437,f20649])).
% 59.94/7.99 fof(f37387,plain,(
% 59.94/7.99 c_Int_OBit1(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))))=c_Int_OPls|~spl0_1363),
% 59.94/7.99 inference(forward_demodulation,[status(thm)],[f1550,f37386])).
% 59.94/7.99 fof(f37388,plain,(
% 59.94/7.99 $false|~spl0_1363),
% 59.94/7.99 inference(forward_subsumption_resolution,[status(thm)],[f37387,f1459])).
% 59.94/7.99 fof(f37389,plain,(
% 59.94/7.99 ~spl0_1363),
% 59.94/7.99 inference(contradiction_clause,[status(thm)],[f37388])).
% 59.94/7.99 fof(f37498,plain,(
% 59.94/7.99 c_Int_OBit1(c_Int_OBit1(c_Int_OBit1(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|~spl0_1372),
% 59.94/7.99 inference(resolution,[status(thm)],[f34514,f20649])).
% 59.94/7.99 fof(f37499,plain,(
% 59.94/7.99 c_Int_OBit1(c_Int_OBit1(c_Int_OBit1(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))=c_Int_OPls|~spl0_1372),
% 59.94/7.99 inference(forward_demodulation,[status(thm)],[f1550,f37498])).
% 59.94/7.99 fof(f37500,plain,(
% 59.94/7.99 $false|~spl0_1372),
% 59.94/7.99 inference(forward_subsumption_resolution,[status(thm)],[f37499,f1459])).
% 59.94/7.99 fof(f37501,plain,(
% 59.94/7.99 ~spl0_1372),
% 59.94/7.99 inference(contradiction_clause,[status(thm)],[f37500])).
% 59.94/7.99 fof(f37614,plain,(
% 59.94/7.99 c_Int_OBit1(c_Int_OBit0(c_Int_OBit1(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|~spl0_1381),
% 59.94/7.99 inference(resolution,[status(thm)],[f34703,f20649])).
% 59.94/7.99 fof(f37615,plain,(
% 59.94/7.99 c_Int_OBit1(c_Int_OBit0(c_Int_OBit1(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))=c_Int_OPls|~spl0_1381),
% 59.94/7.99 inference(forward_demodulation,[status(thm)],[f1550,f37614])).
% 59.94/7.99 fof(f37616,plain,(
% 59.94/7.99 $false|~spl0_1381),
% 59.94/7.99 inference(forward_subsumption_resolution,[status(thm)],[f37615,f1459])).
% 59.94/7.99 fof(f37617,plain,(
% 59.94/7.99 ~spl0_1381),
% 59.94/7.99 inference(contradiction_clause,[status(thm)],[f37616])).
% 59.94/7.99 fof(f38836,plain,(
% 59.94/7.99 $false|~spl0_1011),
% 59.94/7.99 inference(forward_subsumption_resolution,[status(thm)],[f26143,f23462])).
% 59.94/7.99 fof(f38837,plain,(
% 59.94/7.99 ~spl0_1011),
% 59.94/7.99 inference(contradiction_clause,[status(thm)],[f38836])).
% 59.94/7.99 fof(f38838,plain,(
% 59.94/7.99 $false|~spl0_1009),
% 59.94/7.99 inference(forward_subsumption_resolution,[status(thm)],[f26082,f2603])).
% 59.94/7.99 fof(f38839,plain,(
% 59.94/7.99 ~spl0_1009),
% 59.94/7.99 inference(contradiction_clause,[status(thm)],[f38838])).
% 59.94/7.99 fof(f39000,plain,(
% 59.94/7.99 $false|~spl0_993),
% 59.94/7.99 inference(forward_subsumption_resolution,[status(thm)],[f25629,f2069])).
% 59.94/7.99 fof(f39001,plain,(
% 59.94/7.99 ~spl0_993),
% 59.94/7.99 inference(contradiction_clause,[status(thm)],[f39000])).
% 59.94/7.99 fof(f39002,plain,(
% 59.94/7.99 $false|~spl0_1042),
% 59.94/7.99 inference(forward_subsumption_resolution,[status(thm)],[f26834,f1898])).
% 59.94/7.99 fof(f39003,plain,(
% 59.94/7.99 ~spl0_1042),
% 59.94/7.99 inference(contradiction_clause,[status(thm)],[f39002])).
% 59.94/7.99 fof(f39005,plain,(
% 59.94/7.99 $false|~spl0_1031),
% 59.94/7.99 inference(forward_subsumption_resolution,[status(thm)],[f26445,f4850])).
% 59.94/7.99 fof(f39006,plain,(
% 59.94/7.99 ~spl0_1031),
% 59.94/7.99 inference(contradiction_clause,[status(thm)],[f39005])).
% 59.94/7.99 fof(f39008,plain,(
% 59.94/7.99 $false|~spl0_1013),
% 59.94/7.99 inference(forward_subsumption_resolution,[status(thm)],[f26158,f2348])).
% 59.94/7.99 fof(f39009,plain,(
% 59.94/7.99 ~spl0_1013),
% 59.94/7.99 inference(contradiction_clause,[status(thm)],[f39008])).
% 59.94/7.99 fof(f39021,plain,(
% 59.94/7.99 c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))=c_Int_OBit1(c_Int_OPls)|~spl0_933),
% 59.94/7.99 inference(forward_demodulation,[status(thm)],[f21708,f24002])).
% 59.94/7.99 fof(f39022,plain,(
% 59.94/7.99 $false|~spl0_933),
% 59.94/7.99 inference(forward_subsumption_resolution,[status(thm)],[f39021,f4886])).
% 59.94/7.99 fof(f39023,plain,(
% 59.94/7.99 ~spl0_933),
% 59.94/7.99 inference(contradiction_clause,[status(thm)],[f39022])).
% 59.94/7.99 fof(f39025,plain,(
% 59.94/7.99 c_Int_OBit1(c_Int_OPls)=c_Int_OBit1(c_Int_OBit1(c_Int_OPls))|~spl0_487),
% 59.94/7.99 inference(forward_demodulation,[status(thm)],[f21708,f15775])).
% 59.94/7.99 fof(f39028,plain,(
% 59.94/7.99 c_Int_OBit1(c_Int_OPls)=c_Int_OBit0(c_Int_OBit1(c_Int_OPls))|~spl0_481),
% 59.94/7.99 inference(forward_demodulation,[status(thm)],[f21708,f15744])).
% 59.94/7.99 fof(f39029,plain,(
% 59.94/7.99 $false|~spl0_481),
% 59.94/7.99 inference(forward_subsumption_resolution,[status(thm)],[f39028,f1461])).
% 59.94/7.99 fof(f39030,plain,(
% 59.94/7.99 ~spl0_481),
% 59.94/7.99 inference(contradiction_clause,[status(thm)],[f39029])).
% 59.94/7.99 fof(f39031,plain,(
% 59.94/7.99 c_Int_OBit1(c_Int_OPls)=c_Int_OBit0(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))|~spl0_479),
% 59.94/7.99 inference(forward_demodulation,[status(thm)],[f21708,f15734])).
% 59.94/7.99 fof(f39032,plain,(
% 59.94/7.99 $false|~spl0_479),
% 59.94/7.99 inference(forward_subsumption_resolution,[status(thm)],[f39031,f1461])).
% 59.94/7.99 fof(f39033,plain,(
% 59.94/7.99 ~spl0_479),
% 59.94/7.99 inference(contradiction_clause,[status(thm)],[f39032])).
% 59.94/7.99 fof(f39034,plain,(
% 59.94/7.99 c_Int_OBit1(c_Int_OPls)=c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))|~spl0_477),
% 59.94/7.99 inference(forward_demodulation,[status(thm)],[f21708,f15726])).
% 59.94/7.99 fof(f39035,plain,(
% 59.94/7.99 $false|~spl0_477),
% 59.94/7.99 inference(forward_subsumption_resolution,[status(thm)],[f39034,f1461])).
% 59.94/7.99 fof(f39036,plain,(
% 59.94/7.99 ~spl0_477),
% 59.94/7.99 inference(contradiction_clause,[status(thm)],[f39035])).
% 59.94/7.99 fof(f40602,plain,(
% 59.94/7.99 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),v_s____)),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),
% 59.94/7.99 inference(forward_demodulation,[status(thm)],[f15643,f4864])).
% 59.94/7.99 fof(f40603,plain,(
% 59.94/7.99 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____)),v_s____)),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))|~spl0_576),
% 59.94/7.99 inference(forward_demodulation,[status(thm)],[f17171,f40602])).
% 59.94/7.99 fof(f40824,plain,(
% 59.94/7.99 spl0_1812 <=> ~X0=c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),
% 59.94/7.99 introduced(split_symbol_definition)).
% 59.94/7.99 fof(f40825,plain,(
% 59.94/7.99 ![X0]: (~X0=c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))|~spl0_1812)),
% 59.94/7.99 inference(component_clause,[status(thm)],[f40824])).
% 59.94/7.99 fof(f40833,plain,(
% 59.94/7.99 $false|~spl0_1812),
% 59.94/7.99 inference(forward_subsumption_resolution,[status(thm)],[f40825,f15646])).
% 59.94/7.99 fof(f40834,plain,(
% 59.94/7.99 ~spl0_1812),
% 59.94/7.99 inference(contradiction_clause,[status(thm)],[f40833])).
% 59.94/7.99 fof(f40874,plain,(
% 59.94/7.99 spl0_1813 <=> ~X0=c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,c_Int_OPls)),
% 59.94/7.99 introduced(split_symbol_definition)).
% 59.94/7.99 fof(f40875,plain,(
% 59.94/7.99 ![X0]: (~X0=c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,c_Int_OPls)|~spl0_1813)),
% 60.51/8.06 inference(component_clause,[status(thm)],[f40874])).
% 60.51/8.06 fof(f40884,plain,(
% 60.51/8.06 $false|~spl0_1813),
% 60.51/8.06 inference(forward_subsumption_resolution,[status(thm)],[f40875,f1310])).
% 60.51/8.06 fof(f40885,plain,(
% 60.51/8.06 ~spl0_1813),
% 60.51/8.06 inference(contradiction_clause,[status(thm)],[f40884])).
% 60.51/8.06 fof(f41099,plain,(
% 60.51/8.06 c_Int_OPls=c_Int_OBit1(c_Int_OPls)|~spl0_487),
% 60.51/8.06 inference(resolution,[status(thm)],[f39025,f1420])).
% 60.51/8.06 fof(f41100,plain,(
% 60.51/8.06 $false|~spl0_487),
% 60.51/8.06 inference(forward_subsumption_resolution,[status(thm)],[f41099,f1459])).
% 60.51/8.06 fof(f41101,plain,(
% 60.51/8.06 ~spl0_487),
% 60.51/8.06 inference(contradiction_clause,[status(thm)],[f41100])).
% 60.51/8.06 fof(f41502,plain,(
% 60.51/8.06 $false|~spl0_76|~spl0_193|~spl0_192|~spl0_576),
% 60.51/8.06 inference(forward_subsumption_resolution,[status(thm)],[f17864,f40603])).
% 60.51/8.06 fof(f41503,plain,(
% 60.51/8.06 ~spl0_76|~spl0_193|~spl0_192|~spl0_576),
% 60.51/8.06 inference(contradiction_clause,[status(thm)],[f41502])).
% 60.51/8.06 fof(f41504,plain,(
% 60.51/8.06 $false),
% 60.51/8.06 inference(sat_refutation,[status(thm)],[f4876,f4994,f7065,f8238,f8810,f8812,f10273,f17174,f17342,f17348,f17996,f18444,f18817,f19087,f19189,f19204,f19206,f19214,f19216,f19219,f19229,f19232,f19235,f19278,f19291,f19706,f19708,f19710,f20073,f20190,f20484,f20619,f20692,f21485,f21497,f21503,f21752,f22315,f22317,f23501,f23512,f23845,f23858,f23985,f24332,f25658,f25660,f26480,f32497,f32601,f32703,f32817,f32838,f34932,f36879,f37159,f37273,f37389,f37501,f37617,f38837,f38839,f39001,f39003,f39006,f39009,f39023,f39030,f39033,f39036,f40834,f40885,f41101,f41503])).
% 60.51/8.06 % SZS output end CNFRefutation for theBenchmark.p
% 60.80/8.17 % Elapsed time: 7.799270 seconds
% 60.80/8.17 % CPU time: 60.525454 seconds
% 60.80/8.17 % Total memory used: 571.470 MB
% 60.80/8.17 % Net memory used: 554.974 MB
%------------------------------------------------------------------------------