TSTP Solution File: SWW210+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWW210+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 20:49:50 EDT 2024
% Result : Theorem 253.21s 32.29s
% Output : CNFRefutation 254.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SWW210+1 : TPTP v8.1.2. Released v5.2.0.
% 0.02/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n017.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Apr 29 22:32:33 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.39 % Drodi V3.6.0
% 253.21/32.29 % Refutation found
% 253.21/32.29 % SZS status Theorem for theBenchmark: Theorem is valid
% 253.21/32.29 % SZS output start CNFRefutation for theBenchmark
% 253.21/32.29 fof(f4,axiom,(
% 253.21/32.29 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_e____) ),
% 253.21/32.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.29 fof(f5,axiom,(
% 253.21/32.29 (? [B_n0] :(! [B_n] :( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_n0,B_n)=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,B_n))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ) ))),
% 253.21/32.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.29 fof(f6,axiom,(
% 253.21/32.29 (? [B_n0] :(! [B_n] :( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_n0,B_n)=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,B_n)))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ) ))),
% 253.21/32.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.29 fof(f31,axiom,(
% 253.21/32.29 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OPls) ),
% 253.21/32.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.29 fof(f41,axiom,(
% 253.21/32.29 (! [V_k_2] :( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Int_OBit1(V_k_2))<=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,V_k_2) ) )),
% 253.21/32.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.29 fof(f53,axiom,(
% 253.21/32.29 (! [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) ) )),
% 253.21/32.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.29 fof(f66,axiom,(
% 253.21/32.29 (! [V_a,T_a] :( class_Groups_Oordered__ab__group__add__abs(T_a)=> ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)=> c_Groups_Oabs__class_Oabs(T_a,V_a) = V_a ) ) )),
% 253.21/32.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.29 fof(f134,axiom,(
% 253.21/32.29 (! [V_x,V_y,T_a] :( class_Orderings_Olinorder(T_a)=> ( ~ c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)=> c_Orderings_Oord__class_Oless(T_a,V_x,V_y) ) ) )),
% 253.21/32.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.29 fof(f137,axiom,(
% 253.21/32.29 (! [V_ya_2,V_xa_2,T_a] :( class_Orderings_Opreorder(T_a)=> ( c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)<=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_xa_2,V_ya_2)& ~ c_Orderings_Oord__class_Oless__eq(T_a,V_ya_2,V_xa_2) ) ) ) )),
% 253.21/32.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.29 fof(f170,axiom,(
% 253.21/32.29 (! [V_w] : c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_w,V_w) )),
% 253.21/32.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.29 fof(f172,axiom,(
% 253.21/32.29 (! [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)) ) )),
% 253.21/32.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.29 fof(f174,axiom,(
% 253.21/32.29 (! [V_w_2,V_z_2] :( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_z_2,V_w_2)<=> ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z_2,V_w_2)& V_z_2 != V_w_2 ) ) )),
% 253.21/32.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.29 fof(f183,axiom,(
% 253.21/32.29 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 253.21/32.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.29 fof(f186,axiom,(
% 253.21/32.29 c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 253.21/32.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.29 fof(f191,axiom,(
% 253.21/32.29 c_Complex_OIm(c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 253.21/32.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.29 fof(f213,axiom,(
% 253.21/32.29 (! [V_n] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) )),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f214,axiom,(
% 253.21/32.31 (! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f217,axiom,(
% 253.21/32.31 (! [V_k] : c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_k) = V_k )),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f241,axiom,(
% 253.21/32.31 (! [V_w,V_z] :( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_z,V_w)| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w,V_z) ) )),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f242,axiom,(
% 253.21/32.31 (! [V_w] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w,V_w) )),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f253,axiom,(
% 253.21/32.31 (! [V_n,V_m] :( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)| V_m = V_n )=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) )),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f267,axiom,(
% 253.21/32.31 (! [V_ya_2,V_xa_2] :( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_xa_2,V_ya_2)<=> ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_xa_2,V_ya_2)| V_xa_2 = V_ya_2 ) ) )),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f268,axiom,(
% 253.21/32.31 (! [V_ya_2,V_xa_2] :( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_xa_2,V_ya_2)<=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_xa_2,V_ya_2)& V_xa_2 != V_ya_2 ) ) )),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f309,axiom,(
% 253.21/32.31 (! [V_a,T_a] :( class_Groups_Omonoid__add(T_a)=> c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) )),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f322,axiom,(
% 253.21/32.31 (! [V_c,V_b,V_a,T_a] :( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)=> ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_c,V_a),c_Groups_Oplus__class_Oplus(T_a,V_c,V_b)) ) ) )),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f389,axiom,(
% 253.21/32.31 (! [V_k] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_k,c_Int_OPls) = V_k )),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f400,axiom,(
% 253.21/32.31 (! [V_j,V_i] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_j),V_i) )),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f405,axiom,(
% 253.21/32.31 (! [V_a,T_a] :( class_Rings_Odivision__ring(T_a)=> c_Rings_Oinverse__class_Odivide(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) = V_a ) )),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f406,axiom,(
% 253.21/32.31 (! [V_n,V_k,V_m] :( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k),V_n)=> ~ ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)=> ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n) ) ) )),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f429,axiom,(
% 253.21/32.31 (! [T_a] :( class_Rings_Olinordered__semidom(T_a)=> ~ c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(T_a)) ) )),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f430,axiom,(
% 253.21/32.31 (! [T_a] :( class_Rings_Olinordered__semidom(T_a)=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oone__class_Oone(T_a)) ) )),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f436,axiom,(
% 253.21/32.31 (! [V_l,V_k] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit0(V_k),c_Int_OBit1(V_l)) = c_Int_OBit1(c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_k,V_l)) )),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f498,axiom,(
% 253.21/32.31 (! [V_z_2,V_w_2] :( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z_2,c_Groups_Oone__class_Oone(tc_Int_Oint)))<=> ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,V_z_2)| V_w_2 = V_z_2 ) ) )),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f499,axiom,(
% 253.21/32.31 c_Complex_ORe(c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f501,axiom,(
% 253.21/32.31 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f503,axiom,(
% 253.21/32.31 c_Groups_Oone__class_Oone(tc_Int_Oint) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit1(c_Int_OPls)) ),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f569,axiom,(
% 253.21/32.31 c_NthRoot_Osqrt(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f571,axiom,(
% 253.21/32.31 (! [V_k,V_x] : c_NthRoot_Osqrt(c_Power_Opower__class_Opower(tc_RealDef_Oreal,V_x,V_k)) = c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(V_x),V_k) )),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f593,axiom,(
% 253.21/32.31 (! [V_c,V_a,T_a] :( class_Rings_Ocomm__semiring__1(T_a)=> c_Groups_Oplus__class_Oplus(T_a,V_a,V_c) = c_Groups_Oplus__class_Oplus(T_a,V_c,V_a) ) )),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f602,axiom,(
% 253.21/32.31 (! [V_x] : c_NthRoot_Osqrt(c_Power_Opower__class_Opower(tc_RealDef_Oreal,V_x,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_x) )),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f603,axiom,(
% 253.21/32.31 (! [V_xa_2] :( c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(V_xa_2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = V_xa_2<=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_xa_2) ) )),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f625,axiom,(
% 253.21/32.31 (! [V_a,T_a] :( class_Rings_Ocomm__semiring__1(T_a)=> c_Groups_Otimes__class_Otimes(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) = V_a ) )),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f768,axiom,(
% 253.21/32.31 (! [V_a,T_a] :( class_Rings_Olinordered__ring(T_a)=> ~ c_Orderings_Oord__class_Oless(T_a,c_Groups_Otimes__class_Otimes(T_a,V_a,V_a),c_Groups_Ozero__class_Ozero(T_a)) ) )),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f814,axiom,(
% 253.21/32.31 c_Complex_OIm(c_Complex_Oii) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f968,axiom,(
% 253.21/32.31 (! [V_a_2,T_a] :( class_Groups_Olinordered__ab__group__add(T_a)=> ( c_Groups_Ouminus__class_Ouminus(T_a,V_a_2) = V_a_2<=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) )),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f979,axiom,(
% 253.21/32.31 (! [V_a_2,V_b_2,T_a] :( class_Groups_Oordered__ab__group__add(T_a)=> ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2),c_Groups_Ouminus__class_Ouminus(T_a,V_a_2))<=> c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2) ) ) )),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f1028,axiom,(
% 253.21/32.31 class_Rings_Olinordered__ring(tc_Int_Oint) ),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f1035,axiom,(
% 253.21/32.31 class_Orderings_Opreorder(tc_Int_Oint) ),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f1036,axiom,(
% 253.21/32.31 class_Orderings_Olinorder(tc_Int_Oint) ),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f1043,axiom,(
% 253.21/32.31 class_Orderings_Oorder(tc_Int_Oint) ),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f1047,axiom,(
% 253.21/32.31 class_Orderings_Oord(tc_Int_Oint) ),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f1067,axiom,(
% 253.21/32.31 class_Rings_Olinordered__semidom(tc_Nat_Onat) ),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f1077,axiom,(
% 253.21/32.31 class_Orderings_Opreorder(tc_Nat_Onat) ),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f1078,axiom,(
% 253.21/32.31 class_Orderings_Olinorder(tc_Nat_Onat) ),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f1084,axiom,(
% 253.21/32.31 class_Orderings_Oorder(tc_Nat_Onat) ),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f1086,axiom,(
% 253.21/32.31 class_Orderings_Oord(tc_Nat_Onat) ),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f1091,axiom,(
% 253.21/32.31 class_Orderings_Opreorder(tc_HOL_Obool) ),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f1092,axiom,(
% 253.21/32.31 class_Orderings_Oorder(tc_HOL_Obool) ),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f1093,axiom,(
% 253.21/32.31 class_Orderings_Oord(tc_HOL_Obool) ),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f1095,axiom,(
% 253.21/32.31 class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f1100,axiom,(
% 253.21/32.31 class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f1105,axiom,(
% 253.21/32.31 class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f1108,axiom,(
% 253.21/32.31 class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal) ),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f1118,axiom,(
% 253.21/32.31 class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal) ),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f1133,axiom,(
% 253.21/32.31 class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal) ),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f1135,axiom,(
% 253.21/32.31 class_Rings_Odivision__ring(tc_RealDef_Oreal) ),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f1140,axiom,(
% 253.21/32.31 class_Orderings_Opreorder(tc_RealDef_Oreal) ),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f1141,axiom,(
% 253.21/32.31 class_Orderings_Olinorder(tc_RealDef_Oreal) ),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f1143,axiom,(
% 253.21/32.31 class_Groups_Omonoid__add(tc_RealDef_Oreal) ),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f1148,axiom,(
% 253.21/32.31 class_Orderings_Oorder(tc_RealDef_Oreal) ),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f1152,axiom,(
% 253.21/32.31 class_Orderings_Oord(tc_RealDef_Oreal) ),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f1162,axiom,(
% 253.21/32.31 class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f1201,hypothesis,(
% 253.21/32.31 ( (? [B_N1] :(! [B_n] :( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_N1,B_n)=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,B_n))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )))=> ( (? [B_N2] :(! [B_n] :( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_N2,B_n)=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,B_n)))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )))=> v_thesis____ ) ) ),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f1202,conjecture,(
% 253.21/32.31 v_thesis____ ),
% 253.21/32.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 253.21/32.31 fof(f1203,negated_conjecture,(
% 253.21/32.31 ~(v_thesis____ )),
% 253.21/32.31 inference(negated_conjecture,[status(cth)],[f1202])).
% 253.21/32.31 fof(f1209,plain,(
% 253.21/32.31 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_e____)),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f4])).
% 253.21/32.31 fof(f1210,plain,(
% 253.21/32.31 ?[B_n0]: (![B_n]: (~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_n0,B_n)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,B_n))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))),
% 253.21/32.31 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 253.21/32.31 fof(f1211,plain,(
% 253.21/32.31 ![B_n]: (~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk0_1,B_n)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,B_n))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))),
% 253.21/32.31 inference(skolemization,[status(esa)],[f1210])).
% 253.21/32.31 fof(f1212,plain,(
% 253.21/32.31 ![X0]: (~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk0_1,X0)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,X0))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f1211])).
% 253.21/32.31 fof(f1213,plain,(
% 253.21/32.31 ?[B_n0]: (![B_n]: (~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_n0,B_n)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,B_n)))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))),
% 253.21/32.31 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 253.21/32.31 fof(f1214,plain,(
% 253.21/32.31 ![B_n]: (~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk0_2,B_n)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,B_n)))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))),
% 253.21/32.31 inference(skolemization,[status(esa)],[f1213])).
% 253.21/32.31 fof(f1215,plain,(
% 253.21/32.31 ![X0]: (~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk0_2,X0)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,X0)))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f1214])).
% 253.21/32.31 fof(f1287,plain,(
% 253.21/32.31 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OPls)),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f31])).
% 253.21/32.31 fof(f1323,plain,(
% 253.21/32.31 ![V_k_2]: ((~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Int_OBit1(V_k_2))|c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,V_k_2))&(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Int_OBit1(V_k_2))|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,V_k_2)))),
% 253.21/32.31 inference(NNF_transformation,[status(esa)],[f41])).
% 253.21/32.31 fof(f1324,plain,(
% 253.21/32.31 (![V_k_2]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Int_OBit1(V_k_2))|c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,V_k_2)))&(![V_k_2]: (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Int_OBit1(V_k_2))|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,V_k_2)))),
% 253.21/32.31 inference(miniscoping,[status(esa)],[f1323])).
% 253.21/32.31 fof(f1326,plain,(
% 253.21/32.31 ![X0]: (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Int_OBit1(X0))|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X0))),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f1324])).
% 253.21/32.31 fof(f1362,plain,(
% 253.21/32.31 ![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)))),
% 253.21/32.31 inference(NNF_transformation,[status(esa)],[f53])).
% 253.21/32.31 fof(f1363,plain,(
% 253.21/32.31 (![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)))),
% 253.21/32.31 inference(miniscoping,[status(esa)],[f1362])).
% 253.21/32.31 fof(f1365,plain,(
% 253.21/32.31 ![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))),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f1363])).
% 253.21/32.31 fof(f1410,plain,(
% 253.21/32.31 ![V_a,T_a]: (~class_Groups_Oordered__ab__group__add__abs(T_a)|(~c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)|c_Groups_Oabs__class_Oabs(T_a,V_a)=V_a))),
% 253.21/32.31 inference(pre_NNF_transformation,[status(esa)],[f66])).
% 253.21/32.31 fof(f1411,plain,(
% 253.21/32.31 ![T_a]: (~class_Groups_Oordered__ab__group__add__abs(T_a)|(![V_a]: (~c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)|c_Groups_Oabs__class_Oabs(T_a,V_a)=V_a)))),
% 253.21/32.31 inference(miniscoping,[status(esa)],[f1410])).
% 253.21/32.31 fof(f1412,plain,(
% 253.21/32.31 ![X0,X1]: (~class_Groups_Oordered__ab__group__add__abs(X0)|~c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)|c_Groups_Oabs__class_Oabs(X0,X1)=X1)),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f1411])).
% 253.21/32.31 fof(f1650,plain,(
% 253.21/32.31 ![V_x,V_y,T_a]: (~class_Orderings_Olinorder(T_a)|(c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)|c_Orderings_Oord__class_Oless(T_a,V_x,V_y)))),
% 253.21/32.31 inference(pre_NNF_transformation,[status(esa)],[f134])).
% 253.21/32.31 fof(f1651,plain,(
% 253.21/32.31 ![T_a]: (~class_Orderings_Olinorder(T_a)|(![V_x,V_y]: (c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)|c_Orderings_Oord__class_Oless(T_a,V_x,V_y))))),
% 253.21/32.31 inference(miniscoping,[status(esa)],[f1650])).
% 253.21/32.31 fof(f1652,plain,(
% 253.21/32.31 ![X0,X1,X2]: (~class_Orderings_Olinorder(X0)|c_Orderings_Oord__class_Oless__eq(X0,X1,X2)|c_Orderings_Oord__class_Oless(X0,X2,X1))),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f1651])).
% 253.21/32.31 fof(f1662,plain,(
% 253.21/32.31 ![V_ya_2,V_xa_2,T_a]: (~class_Orderings_Opreorder(T_a)|(c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)<=>(c_Orderings_Oord__class_Oless__eq(T_a,V_xa_2,V_ya_2)&~c_Orderings_Oord__class_Oless__eq(T_a,V_ya_2,V_xa_2))))),
% 253.21/32.31 inference(pre_NNF_transformation,[status(esa)],[f137])).
% 253.21/32.31 fof(f1663,plain,(
% 253.21/32.31 ![V_ya_2,V_xa_2,T_a]: (~class_Orderings_Opreorder(T_a)|((~c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)|(c_Orderings_Oord__class_Oless__eq(T_a,V_xa_2,V_ya_2)&~c_Orderings_Oord__class_Oless__eq(T_a,V_ya_2,V_xa_2)))&(c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)|(~c_Orderings_Oord__class_Oless__eq(T_a,V_xa_2,V_ya_2)|c_Orderings_Oord__class_Oless__eq(T_a,V_ya_2,V_xa_2)))))),
% 253.21/32.31 inference(NNF_transformation,[status(esa)],[f1662])).
% 253.21/32.31 fof(f1664,plain,(
% 253.21/32.31 ![T_a]: (~class_Orderings_Opreorder(T_a)|((![V_ya_2,V_xa_2]: (~c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)|(c_Orderings_Oord__class_Oless__eq(T_a,V_xa_2,V_ya_2)&~c_Orderings_Oord__class_Oless__eq(T_a,V_ya_2,V_xa_2))))&(![V_ya_2,V_xa_2]: (c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)|(~c_Orderings_Oord__class_Oless__eq(T_a,V_xa_2,V_ya_2)|c_Orderings_Oord__class_Oless__eq(T_a,V_ya_2,V_xa_2))))))),
% 253.21/32.31 inference(miniscoping,[status(esa)],[f1663])).
% 253.21/32.31 fof(f1666,plain,(
% 253.21/32.31 ![X0,X1,X2]: (~class_Orderings_Opreorder(X0)|~c_Orderings_Oord__class_Oless(X0,X1,X2)|~c_Orderings_Oord__class_Oless__eq(X0,X2,X1))),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f1664])).
% 253.21/32.31 fof(f1766,plain,(
% 253.21/32.31 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X0))),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f170])).
% 253.21/32.31 fof(f1768,plain,(
% 253.21/32.31 ![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))))),
% 253.21/32.31 inference(NNF_transformation,[status(esa)],[f172])).
% 253.21/32.31 fof(f1769,plain,(
% 253.21/32.31 (![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))))),
% 253.21/32.31 inference(miniscoping,[status(esa)],[f1768])).
% 253.21/32.31 fof(f1770,plain,(
% 253.21/32.31 ![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)))),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f1769])).
% 253.21/32.31 fof(f1778,plain,(
% 253.21/32.31 ![V_w_2,V_z_2]: ((~c_Orderings_Oord__class_Oless(tc_Int_Oint,V_z_2,V_w_2)|(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z_2,V_w_2)&~V_z_2=V_w_2))&(c_Orderings_Oord__class_Oless(tc_Int_Oint,V_z_2,V_w_2)|(~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z_2,V_w_2)|V_z_2=V_w_2)))),
% 253.21/32.31 inference(NNF_transformation,[status(esa)],[f174])).
% 253.21/32.31 fof(f1779,plain,(
% 253.21/32.31 (![V_w_2,V_z_2]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,V_z_2,V_w_2)|(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z_2,V_w_2)&~V_z_2=V_w_2)))&(![V_w_2,V_z_2]: (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_z_2,V_w_2)|(~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z_2,V_w_2)|V_z_2=V_w_2)))),
% 253.21/32.31 inference(miniscoping,[status(esa)],[f1778])).
% 253.21/32.31 fof(f1780,plain,(
% 253.21/32.31 ![X0,X1]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)|c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1))),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f1779])).
% 253.21/32.31 fof(f1809,plain,(
% 253.21/32.31 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OPls)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f183])).
% 253.21/32.31 fof(f1815,plain,(
% 253.21/32.31 c_Int_OPls=c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f186])).
% 253.21/32.31 fof(f1823,plain,(
% 253.21/32.31 c_Complex_OIm(c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f191])).
% 253.21/32.31 fof(f1916,plain,(
% 253.21/32.31 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0))),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f213])).
% 253.21/32.31 fof(f1917,plain,(
% 253.21/32.31 ![X0]: (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f214])).
% 253.21/32.31 fof(f1920,plain,(
% 253.21/32.31 ![X0]: (c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X0)=X0)),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f217])).
% 253.21/32.31 fof(f1976,plain,(
% 253.21/32.31 ![X0,X1]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0))),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f241])).
% 253.21/32.31 fof(f1977,plain,(
% 253.21/32.31 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X0))),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f242])).
% 253.21/32.31 fof(f2009,plain,(
% 253.21/32.31 ![V_n,V_m]: ((~c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)&~V_m=V_n)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n))),
% 253.21/32.31 inference(pre_NNF_transformation,[status(esa)],[f253])).
% 253.21/32.31 fof(f2011,plain,(
% 253.21/32.31 ![X0,X1]: (~X0=X1|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1))),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f2009])).
% 253.21/32.31 fof(f2046,plain,(
% 253.21/32.31 ![V_ya_2,V_xa_2]: ((~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_xa_2,V_ya_2)|(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_xa_2,V_ya_2)|V_xa_2=V_ya_2))&(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_xa_2,V_ya_2)|(~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_xa_2,V_ya_2)&~V_xa_2=V_ya_2)))),
% 253.21/32.31 inference(NNF_transformation,[status(esa)],[f267])).
% 253.21/32.31 fof(f2047,plain,(
% 253.21/32.31 (![V_ya_2,V_xa_2]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_xa_2,V_ya_2)|(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_xa_2,V_ya_2)|V_xa_2=V_ya_2)))&(![V_ya_2,V_xa_2]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_xa_2,V_ya_2)|(~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_xa_2,V_ya_2)&~V_xa_2=V_ya_2)))),
% 253.21/32.31 inference(miniscoping,[status(esa)],[f2046])).
% 253.21/32.31 fof(f2049,plain,(
% 253.21/32.31 ![X0,X1]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1))),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f2047])).
% 253.21/32.31 fof(f2051,plain,(
% 253.21/32.31 ![V_ya_2,V_xa_2]: ((~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_xa_2,V_ya_2)|(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_xa_2,V_ya_2)&~V_xa_2=V_ya_2))&(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_xa_2,V_ya_2)|(~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_xa_2,V_ya_2)|V_xa_2=V_ya_2)))),
% 253.21/32.31 inference(NNF_transformation,[status(esa)],[f268])).
% 253.21/32.31 fof(f2052,plain,(
% 253.21/32.31 (![V_ya_2,V_xa_2]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_xa_2,V_ya_2)|(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_xa_2,V_ya_2)&~V_xa_2=V_ya_2)))&(![V_ya_2,V_xa_2]: (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_xa_2,V_ya_2)|(~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_xa_2,V_ya_2)|V_xa_2=V_ya_2)))),
% 253.21/32.31 inference(miniscoping,[status(esa)],[f2051])).
% 253.21/32.31 fof(f2054,plain,(
% 253.21/32.31 ![X0,X1]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)|~X0=X1)),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f2052])).
% 253.21/32.31 fof(f2183,plain,(
% 253.21/32.31 ![V_a,T_a]: (~class_Groups_Omonoid__add(T_a)|c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))=V_a)),
% 253.21/32.31 inference(pre_NNF_transformation,[status(esa)],[f309])).
% 253.21/32.31 fof(f2184,plain,(
% 253.21/32.31 ![T_a]: (~class_Groups_Omonoid__add(T_a)|(![V_a]: c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))=V_a))),
% 253.21/32.31 inference(miniscoping,[status(esa)],[f2183])).
% 253.21/32.31 fof(f2185,plain,(
% 253.21/32.31 ![X0,X1]: (~class_Groups_Omonoid__add(X0)|c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0))=X1)),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f2184])).
% 253.21/32.31 fof(f2228,plain,(
% 253.21/32.31 ![V_c,V_b,V_a,T_a]: (~class_Groups_Oordered__cancel__ab__semigroup__add(T_a)|(~c_Orderings_Oord__class_Oless(T_a,V_a,V_b)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_c,V_a),c_Groups_Oplus__class_Oplus(T_a,V_c,V_b))))),
% 253.21/32.31 inference(pre_NNF_transformation,[status(esa)],[f322])).
% 253.21/32.31 fof(f2229,plain,(
% 253.21/32.31 ![T_a]: (~class_Groups_Oordered__cancel__ab__semigroup__add(T_a)|(![V_b,V_a]: (~c_Orderings_Oord__class_Oless(T_a,V_a,V_b)|(![V_c]: c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_c,V_a),c_Groups_Oplus__class_Oplus(T_a,V_c,V_b))))))),
% 253.21/32.31 inference(miniscoping,[status(esa)],[f2228])).
% 253.21/32.31 fof(f2230,plain,(
% 253.21/32.31 ![X0,X1,X2,X3]: (~class_Groups_Oordered__cancel__ab__semigroup__add(X0)|~c_Orderings_Oord__class_Oless(X0,X1,X2)|c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X3,X1),c_Groups_Oplus__class_Oplus(X0,X3,X2)))),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f2229])).
% 253.21/32.31 fof(f2427,plain,(
% 253.21/32.31 ![X0]: (c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Int_OPls)=X0)),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f389])).
% 253.21/32.31 fof(f2453,plain,(
% 253.21/32.31 ![X0,X1]: (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X0))),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f400])).
% 253.21/32.31 fof(f2466,plain,(
% 253.21/32.31 ![V_a,T_a]: (~class_Rings_Odivision__ring(T_a)|c_Rings_Oinverse__class_Odivide(T_a,V_a,c_Groups_Oone__class_Oone(T_a))=V_a)),
% 253.21/32.31 inference(pre_NNF_transformation,[status(esa)],[f405])).
% 253.21/32.31 fof(f2467,plain,(
% 253.21/32.31 ![T_a]: (~class_Rings_Odivision__ring(T_a)|(![V_a]: c_Rings_Oinverse__class_Odivide(T_a,V_a,c_Groups_Oone__class_Oone(T_a))=V_a))),
% 253.21/32.31 inference(miniscoping,[status(esa)],[f2466])).
% 253.21/32.31 fof(f2468,plain,(
% 253.21/32.31 ![X0,X1]: (~class_Rings_Odivision__ring(X0)|c_Rings_Oinverse__class_Odivide(X0,X1,c_Groups_Oone__class_Oone(X0))=X1)),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f2467])).
% 253.21/32.31 fof(f2469,plain,(
% 253.21/32.31 ![V_n,V_k,V_m]: (~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k),V_n)|(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)&c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n)))),
% 253.21/32.31 inference(pre_NNF_transformation,[status(esa)],[f406])).
% 253.21/32.31 fof(f2471,plain,(
% 253.21/32.31 ![X0,X1,X2]: (~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X2)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2))),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f2469])).
% 253.21/32.31 fof(f2523,plain,(
% 253.21/32.31 ![T_a]: (~class_Rings_Olinordered__semidom(T_a)|~c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(T_a)))),
% 253.21/32.31 inference(pre_NNF_transformation,[status(esa)],[f429])).
% 253.21/32.31 fof(f2524,plain,(
% 253.21/32.31 ![X0]: (~class_Rings_Olinordered__semidom(X0)|~c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(X0)))),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f2523])).
% 253.21/32.31 fof(f2525,plain,(
% 253.21/32.31 ![T_a]: (~class_Rings_Olinordered__semidom(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oone__class_Oone(T_a)))),
% 253.21/32.31 inference(pre_NNF_transformation,[status(esa)],[f430])).
% 253.21/32.31 fof(f2526,plain,(
% 253.21/32.31 ![X0]: (~class_Rings_Olinordered__semidom(X0)|c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oone__class_Oone(X0)))),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f2525])).
% 253.21/32.31 fof(f2544,plain,(
% 253.21/32.31 ![X0,X1]: (c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit0(X0),c_Int_OBit1(X1))=c_Int_OBit1(c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1)))),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f436])).
% 253.21/32.31 fof(f2722,plain,(
% 253.21/32.31 ![V_z_2,V_w_2]: ((~c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z_2,c_Groups_Oone__class_Oone(tc_Int_Oint)))|(c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,V_z_2)|V_w_2=V_z_2))&(c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z_2,c_Groups_Oone__class_Oone(tc_Int_Oint)))|(~c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,V_z_2)&~V_w_2=V_z_2)))),
% 253.21/32.31 inference(NNF_transformation,[status(esa)],[f498])).
% 253.21/32.31 fof(f2723,plain,(
% 253.21/32.31 (![V_z_2,V_w_2]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z_2,c_Groups_Oone__class_Oone(tc_Int_Oint)))|(c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,V_z_2)|V_w_2=V_z_2)))&(![V_z_2,V_w_2]: (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z_2,c_Groups_Oone__class_Oone(tc_Int_Oint)))|(~c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,V_z_2)&~V_w_2=V_z_2)))),
% 253.21/32.31 inference(miniscoping,[status(esa)],[f2722])).
% 253.21/32.31 fof(f2726,plain,(
% 253.21/32.31 ![X0,X1]: (c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)))|~X0=X1)),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f2723])).
% 253.21/32.31 fof(f2727,plain,(
% 253.21/32.31 c_Complex_ORe(c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f499])).
% 253.21/32.31 fof(f2733,plain,(
% 253.21/32.31 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit1(c_Int_OPls))=c_Groups_Oone__class_Oone(tc_Nat_Onat)),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f501])).
% 253.21/32.31 fof(f2735,plain,(
% 253.21/32.31 c_Groups_Oone__class_Oone(tc_Int_Oint)=c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit1(c_Int_OPls))),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f503])).
% 253.21/32.31 fof(f2956,plain,(
% 253.21/32.31 c_NthRoot_Osqrt(c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f569])).
% 253.21/32.31 fof(f2961,plain,(
% 253.21/32.31 ![X0,X1]: (c_NthRoot_Osqrt(c_Power_Opower__class_Opower(tc_RealDef_Oreal,X0,X1))=c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(X0),X1))),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f571])).
% 253.21/32.31 fof(f3026,plain,(
% 253.21/32.31 ![V_c,V_a,T_a]: (~class_Rings_Ocomm__semiring__1(T_a)|c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)=c_Groups_Oplus__class_Oplus(T_a,V_c,V_a))),
% 253.21/32.31 inference(pre_NNF_transformation,[status(esa)],[f593])).
% 253.21/32.31 fof(f3027,plain,(
% 253.21/32.31 ![T_a]: (~class_Rings_Ocomm__semiring__1(T_a)|(![V_c,V_a]: c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)=c_Groups_Oplus__class_Oplus(T_a,V_c,V_a)))),
% 253.21/32.31 inference(miniscoping,[status(esa)],[f3026])).
% 253.21/32.31 fof(f3028,plain,(
% 253.21/32.31 ![X0,X1,X2]: (~class_Rings_Ocomm__semiring__1(X0)|c_Groups_Oplus__class_Oplus(X0,X1,X2)=c_Groups_Oplus__class_Oplus(X0,X2,X1))),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f3027])).
% 253.21/32.31 fof(f3047,plain,(
% 253.21/32.31 ![X0]: (c_NthRoot_Osqrt(c_Power_Opower__class_Opower(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0))),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f602])).
% 253.21/32.31 fof(f3048,plain,(
% 253.21/32.31 ![V_xa_2]: ((~c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(V_xa_2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))=V_xa_2|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_xa_2))&(c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(V_xa_2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))=V_xa_2|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_xa_2)))),
% 253.21/32.31 inference(NNF_transformation,[status(esa)],[f603])).
% 253.21/32.31 fof(f3049,plain,(
% 253.21/32.31 (![V_xa_2]: (~c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(V_xa_2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))=V_xa_2|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_xa_2)))&(![V_xa_2]: (c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(V_xa_2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))=V_xa_2|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_xa_2)))),
% 253.21/32.31 inference(miniscoping,[status(esa)],[f3048])).
% 253.21/32.31 fof(f3051,plain,(
% 253.21/32.31 ![X0]: (c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))=X0|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0))),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f3049])).
% 253.21/32.31 fof(f3094,plain,(
% 253.21/32.31 ![V_a,T_a]: (~class_Rings_Ocomm__semiring__1(T_a)|c_Groups_Otimes__class_Otimes(T_a,V_a,c_Groups_Oone__class_Oone(T_a))=V_a)),
% 253.21/32.31 inference(pre_NNF_transformation,[status(esa)],[f625])).
% 253.21/32.31 fof(f3095,plain,(
% 253.21/32.31 ![T_a]: (~class_Rings_Ocomm__semiring__1(T_a)|(![V_a]: c_Groups_Otimes__class_Otimes(T_a,V_a,c_Groups_Oone__class_Oone(T_a))=V_a))),
% 253.21/32.31 inference(miniscoping,[status(esa)],[f3094])).
% 253.21/32.31 fof(f3096,plain,(
% 253.21/32.31 ![X0,X1]: (~class_Rings_Ocomm__semiring__1(X0)|c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Oone__class_Oone(X0))=X1)),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f3095])).
% 253.21/32.31 fof(f3559,plain,(
% 253.21/32.31 ![V_a,T_a]: (~class_Rings_Olinordered__ring(T_a)|~c_Orderings_Oord__class_Oless(T_a,c_Groups_Otimes__class_Otimes(T_a,V_a,V_a),c_Groups_Ozero__class_Ozero(T_a)))),
% 253.21/32.31 inference(pre_NNF_transformation,[status(esa)],[f768])).
% 253.21/32.31 fof(f3560,plain,(
% 253.21/32.31 ![T_a]: (~class_Rings_Olinordered__ring(T_a)|(![V_a]: ~c_Orderings_Oord__class_Oless(T_a,c_Groups_Otimes__class_Otimes(T_a,V_a,V_a),c_Groups_Ozero__class_Ozero(T_a))))),
% 253.21/32.31 inference(miniscoping,[status(esa)],[f3559])).
% 253.21/32.31 fof(f3561,plain,(
% 253.21/32.31 ![X0,X1]: (~class_Rings_Olinordered__ring(X0)|~c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0)))),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f3560])).
% 253.21/32.31 fof(f3726,plain,(
% 253.21/32.31 c_Complex_OIm(c_Complex_Oii)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f814])).
% 253.21/32.31 fof(f4294,plain,(
% 253.21/32.31 ![V_a_2,T_a]: (~class_Groups_Olinordered__ab__group__add(T_a)|(c_Groups_Ouminus__class_Ouminus(T_a,V_a_2)=V_a_2<=>V_a_2=c_Groups_Ozero__class_Ozero(T_a)))),
% 253.21/32.31 inference(pre_NNF_transformation,[status(esa)],[f968])).
% 253.21/32.31 fof(f4295,plain,(
% 253.21/32.31 ![V_a_2,T_a]: (~class_Groups_Olinordered__ab__group__add(T_a)|((~c_Groups_Ouminus__class_Ouminus(T_a,V_a_2)=V_a_2|V_a_2=c_Groups_Ozero__class_Ozero(T_a))&(c_Groups_Ouminus__class_Ouminus(T_a,V_a_2)=V_a_2|~V_a_2=c_Groups_Ozero__class_Ozero(T_a))))),
% 253.21/32.31 inference(NNF_transformation,[status(esa)],[f4294])).
% 253.21/32.31 fof(f4296,plain,(
% 253.21/32.31 ![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|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|~V_a_2=c_Groups_Ozero__class_Ozero(T_a)))))),
% 253.21/32.31 inference(miniscoping,[status(esa)],[f4295])).
% 253.21/32.31 fof(f4298,plain,(
% 253.21/32.31 ![X0,X1]: (~class_Groups_Olinordered__ab__group__add(X0)|c_Groups_Ouminus__class_Ouminus(X0,X1)=X1|~X1=c_Groups_Ozero__class_Ozero(X0))),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f4296])).
% 253.21/32.31 fof(f4344,plain,(
% 253.21/32.31 ![V_a_2,V_b_2,T_a]: (~class_Groups_Oordered__ab__group__add(T_a)|(c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2),c_Groups_Ouminus__class_Ouminus(T_a,V_a_2))<=>c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2)))),
% 253.21/32.31 inference(pre_NNF_transformation,[status(esa)],[f979])).
% 253.21/32.31 fof(f4345,plain,(
% 253.21/32.31 ![V_a_2,V_b_2,T_a]: (~class_Groups_Oordered__ab__group__add(T_a)|((~c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2),c_Groups_Ouminus__class_Ouminus(T_a,V_a_2))|c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2))&(c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2),c_Groups_Ouminus__class_Ouminus(T_a,V_a_2))|~c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2))))),
% 253.21/32.31 inference(NNF_transformation,[status(esa)],[f4344])).
% 253.21/32.31 fof(f4346,plain,(
% 253.21/32.31 ![T_a]: (~class_Groups_Oordered__ab__group__add(T_a)|((![V_a_2,V_b_2]: (~c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2),c_Groups_Ouminus__class_Ouminus(T_a,V_a_2))|c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2)))&(![V_a_2,V_b_2]: (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2),c_Groups_Ouminus__class_Ouminus(T_a,V_a_2))|~c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2)))))),
% 253.21/32.31 inference(miniscoping,[status(esa)],[f4345])).
% 253.21/32.31 fof(f4348,plain,(
% 253.21/32.31 ![X0,X1,X2]: (~class_Groups_Oordered__ab__group__add(X0)|c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2))|~c_Orderings_Oord__class_Oless(X0,X2,X1))),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f4346])).
% 253.21/32.31 fof(f4441,plain,(
% 253.21/32.31 class_Rings_Olinordered__ring(tc_Int_Oint)),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f1028])).
% 253.21/32.31 fof(f4448,plain,(
% 253.21/32.31 class_Orderings_Opreorder(tc_Int_Oint)),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f1035])).
% 253.21/32.31 fof(f4449,plain,(
% 253.21/32.31 class_Orderings_Olinorder(tc_Int_Oint)),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f1036])).
% 253.21/32.31 fof(f4456,plain,(
% 253.21/32.31 class_Orderings_Oorder(tc_Int_Oint)),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f1043])).
% 253.21/32.31 fof(f4460,plain,(
% 253.21/32.31 class_Orderings_Oord(tc_Int_Oint)),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f1047])).
% 253.21/32.31 fof(f4480,plain,(
% 253.21/32.31 class_Rings_Olinordered__semidom(tc_Nat_Onat)),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f1067])).
% 253.21/32.31 fof(f4490,plain,(
% 253.21/32.31 class_Orderings_Opreorder(tc_Nat_Onat)),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f1077])).
% 253.21/32.31 fof(f4491,plain,(
% 253.21/32.31 class_Orderings_Olinorder(tc_Nat_Onat)),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f1078])).
% 253.21/32.31 fof(f4497,plain,(
% 253.21/32.31 class_Orderings_Oorder(tc_Nat_Onat)),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f1084])).
% 253.21/32.31 fof(f4499,plain,(
% 253.21/32.31 class_Orderings_Oord(tc_Nat_Onat)),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f1086])).
% 253.21/32.31 fof(f4504,plain,(
% 253.21/32.31 class_Orderings_Opreorder(tc_HOL_Obool)),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f1091])).
% 253.21/32.31 fof(f4505,plain,(
% 253.21/32.31 class_Orderings_Oorder(tc_HOL_Obool)),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f1092])).
% 253.21/32.31 fof(f4506,plain,(
% 253.21/32.31 class_Orderings_Oord(tc_HOL_Obool)),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f1093])).
% 253.21/32.31 fof(f4508,plain,(
% 253.21/32.31 class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal)),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f1095])).
% 253.21/32.31 fof(f4513,plain,(
% 253.21/32.31 class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal)),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f1100])).
% 253.21/32.31 fof(f4518,plain,(
% 253.21/32.31 class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal)),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f1105])).
% 253.21/32.31 fof(f4521,plain,(
% 253.21/32.31 class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal)),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f1108])).
% 253.21/32.31 fof(f4531,plain,(
% 253.21/32.31 class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal)),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f1118])).
% 253.21/32.31 fof(f4546,plain,(
% 253.21/32.31 class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal)),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f1133])).
% 253.21/32.31 fof(f4548,plain,(
% 253.21/32.31 class_Rings_Odivision__ring(tc_RealDef_Oreal)),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f1135])).
% 253.21/32.31 fof(f4553,plain,(
% 253.21/32.31 class_Orderings_Opreorder(tc_RealDef_Oreal)),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f1140])).
% 253.21/32.31 fof(f4554,plain,(
% 253.21/32.31 class_Orderings_Olinorder(tc_RealDef_Oreal)),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f1141])).
% 253.21/32.31 fof(f4556,plain,(
% 253.21/32.31 class_Groups_Omonoid__add(tc_RealDef_Oreal)),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f1143])).
% 253.21/32.31 fof(f4561,plain,(
% 253.21/32.31 class_Orderings_Oorder(tc_RealDef_Oreal)),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f1148])).
% 253.21/32.31 fof(f4565,plain,(
% 253.21/32.31 class_Orderings_Oord(tc_RealDef_Oreal)),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f1152])).
% 253.21/32.31 fof(f4575,plain,(
% 253.21/32.31 class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex)),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f1162])).
% 253.21/32.31 fof(f4614,plain,(
% 253.21/32.31 (![B_N1]: ?[B_n]: (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_N1,B_n)&~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,B_n))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))|((![B_N2]: ?[B_n]: (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_N2,B_n)&~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,B_n)))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))|v_thesis____)),
% 253.21/32.31 inference(pre_NNF_transformation,[status(esa)],[f1201])).
% 253.21/32.31 fof(f4615,plain,(
% 253.21/32.31 ![B_N1,B_n]: (pd0_15(B_n,B_N1)=>(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_N1,B_n)&~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,B_n))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))),
% 253.21/32.31 introduced(predicate_definition,[f4614])).
% 253.21/32.31 fof(f4616,plain,(
% 253.21/32.31 (![B_N1]: ?[B_n]: pd0_15(B_n,B_N1))|((![B_N2]: ?[B_n]: (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_N2,B_n)&~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,B_n)))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))|v_thesis____)),
% 253.21/32.31 inference(formula_renaming,[status(thm)],[f4614,f4615])).
% 253.21/32.31 fof(f4617,plain,(
% 253.21/32.31 (![B_N1]: pd0_15(sk0_15(B_N1),B_N1))|((![B_N2]: (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_N2,sk0_16(B_N2))&~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,sk0_16(B_N2))))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))|v_thesis____)),
% 253.21/32.31 inference(skolemization,[status(esa)],[f4616])).
% 253.21/32.31 fof(f4618,plain,(
% 253.21/32.31 ![X0,X1]: (pd0_15(sk0_15(X0),X0)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,sk0_16(X1))|v_thesis____)),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f4617])).
% 253.21/32.31 fof(f4619,plain,(
% 253.21/32.31 ![X0,X1]: (pd0_15(sk0_15(X0),X0)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,sk0_16(X1))))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))|v_thesis____)),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f4617])).
% 253.21/32.31 fof(f4620,plain,(
% 253.21/32.31 ~v_thesis____),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f1203])).
% 253.21/32.31 fof(f4726,plain,(
% 253.21/32.31 ![B_N1,B_n]: (~pd0_15(B_n,B_N1)|(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_N1,B_n)&~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,B_n))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))),
% 253.21/32.31 inference(pre_NNF_transformation,[status(esa)],[f4615])).
% 253.21/32.31 fof(f4727,plain,(
% 253.21/32.31 ![X0,X1]: (~pd0_15(X0,X1)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0))),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f4726])).
% 253.21/32.31 fof(f4728,plain,(
% 253.21/32.31 ![X0,X1]: (~pd0_15(X0,X1)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,X0))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))),
% 253.21/32.31 inference(cnf_transformation,[status(esa)],[f4726])).
% 253.21/32.31 fof(f4729,plain,(
% 253.21/32.31 spl0_0 <=> pd0_15(sk0_15(X0),X0)),
% 253.21/32.31 introduced(split_symbol_definition)).
% 253.21/32.31 fof(f4730,plain,(
% 253.21/32.31 ![X0]: (pd0_15(sk0_15(X0),X0)|~spl0_0)),
% 253.21/32.31 inference(component_clause,[status(thm)],[f4729])).
% 253.21/32.31 fof(f4732,plain,(
% 253.21/32.31 spl0_1 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,sk0_16(X1))),
% 253.21/32.31 introduced(split_symbol_definition)).
% 253.21/32.31 fof(f4733,plain,(
% 253.21/32.31 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,sk0_16(X0))|~spl0_1)),
% 253.21/32.31 inference(component_clause,[status(thm)],[f4732])).
% 253.21/32.31 fof(f4735,plain,(
% 253.21/32.31 spl0_2 <=> v_thesis____),
% 253.21/32.31 introduced(split_symbol_definition)).
% 253.21/32.31 fof(f4736,plain,(
% 253.21/32.31 v_thesis____|~spl0_2),
% 253.21/32.31 inference(component_clause,[status(thm)],[f4735])).
% 253.21/32.31 fof(f4738,plain,(
% 253.21/32.31 spl0_0|spl0_1|spl0_2),
% 253.21/32.31 inference(split_clause,[status(thm)],[f4618,f4729,f4732,f4735])).
% 253.21/32.31 fof(f4739,plain,(
% 253.21/32.31 spl0_3 <=> ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,sk0_16(X1))))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),
% 253.21/32.31 introduced(split_symbol_definition)).
% 253.21/32.31 fof(f4740,plain,(
% 253.21/32.31 ![X0]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,sk0_16(X0))))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))|~spl0_3)),
% 253.21/32.31 inference(component_clause,[status(thm)],[f4739])).
% 253.21/32.31 fof(f4742,plain,(
% 253.21/32.31 spl0_0|spl0_3|spl0_2),
% 253.21/32.31 inference(split_clause,[status(thm)],[f4619,f4729,f4739,f4735])).
% 253.21/32.31 fof(f4772,plain,(
% 253.21/32.31 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X0))),
% 253.21/32.31 inference(destructive_equality_resolution,[status(esa)],[f2011])).
% 253.21/32.31 fof(f4778,plain,(
% 253.21/32.31 ![X0]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X0))),
% 253.21/32.31 inference(destructive_equality_resolution,[status(esa)],[f2054])).
% 253.21/32.31 fof(f4796,plain,(
% 253.21/32.31 ![X0]: (c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Groups_Oone__class_Oone(tc_Int_Oint))))),
% 253.21/32.31 inference(destructive_equality_resolution,[status(esa)],[f2726])).
% 253.21/32.31 fof(f4872,plain,(
% 253.21/32.31 ![X0]: (~class_Groups_Olinordered__ab__group__add(X0)|c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Ozero__class_Ozero(X0))=c_Groups_Ozero__class_Ozero(X0))),
% 253.21/32.31 inference(destructive_equality_resolution,[status(esa)],[f4298])).
% 253.21/32.31 fof(f4880,plain,(
% 253.21/32.31 $false|~spl0_2),
% 253.21/32.31 inference(forward_subsumption_resolution,[status(thm)],[f4736,f4620])).
% 253.21/32.31 fof(f4881,plain,(
% 253.21/32.31 ~spl0_2),
% 253.21/32.31 inference(contradiction_clause,[status(thm)],[f4880])).
% 253.21/32.31 fof(f4946,plain,(
% 253.21/32.31 ![X0]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Otimes__class_Otimes(tc_Int_Oint,X0,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),
% 253.21/32.31 inference(resolution,[status(thm)],[f4441,f3561])).
% 253.21/32.31 fof(f5072,plain,(
% 253.21/32.31 ![X0,X1,X2]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,X0),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,X1)))),
% 253.21/32.31 inference(resolution,[status(thm)],[f4508,f2230])).
% 253.21/32.31 fof(f5084,plain,(
% 253.21/32.31 c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Int_OBit1(c_Int_OPls))),
% 253.21/32.31 inference(resolution,[status(thm)],[f1326,f1287])).
% 253.21/32.31 fof(f5139,plain,(
% 253.21/32.31 ![X0,X1]: (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0))),
% 253.21/32.31 inference(resolution,[status(thm)],[f4531,f4348])).
% 253.21/32.31 fof(f5212,plain,(
% 253.21/32.31 ![X0,X1]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0))),
% 253.21/32.31 inference(resolution,[status(thm)],[f4553,f1666])).
% 253.21/32.31 fof(f5382,plain,(
% 253.21/32.31 ![X0]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)|c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0)=X0)),
% 253.21/32.31 inference(resolution,[status(thm)],[f1412,f4518])).
% 253.21/32.31 fof(f5531,plain,(
% 253.21/32.31 c_Complex_ORe(c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))=c_Complex_OIm(c_Complex_Oii)),
% 253.21/32.31 inference(forward_demodulation,[status(thm)],[f3726,f2727])).
% 253.21/32.31 fof(f5535,plain,(
% 253.21/32.31 c_NthRoot_Osqrt(c_Complex_OIm(c_Complex_Oii))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
% 253.21/32.31 inference(forward_demodulation,[status(thm)],[f3726,f2956])).
% 253.21/32.31 fof(f5536,plain,(
% 253.21/32.31 c_NthRoot_Osqrt(c_Complex_OIm(c_Complex_Oii))=c_Complex_OIm(c_Complex_Oii)),
% 253.21/32.31 inference(forward_demodulation,[status(thm)],[f3726,f5535])).
% 253.21/32.31 fof(f5554,plain,(
% 253.21/32.31 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,sk0_15(X0))|~spl0_0)),
% 253.21/32.31 inference(resolution,[status(thm)],[f4727,f4730])).
% 253.21/32.31 fof(f5570,plain,(
% 253.21/32.31 c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),
% 253.21/32.31 inference(resolution,[status(thm)],[f5084,f1365])).
% 253.21/32.31 fof(f5709,plain,(
% 253.21/32.31 ![X0]: (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=X0)),
% 253.21/32.31 inference(resolution,[status(thm)],[f2185,f4556])).
% 253.21/32.31 fof(f5727,plain,(
% 253.21/32.31 ![X0]: (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=X0)),
% 253.21/32.31 inference(resolution,[status(thm)],[f2468,f4548])).
% 253.21/32.31 fof(f5728,plain,(
% 253.21/32.31 ![X0]: (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Complex_OIm(c_Complex_Oii))=X0)),
% 253.21/32.31 inference(forward_demodulation,[status(thm)],[f3726,f5727])).
% 253.21/32.31 fof(f5803,plain,(
% 253.21/32.31 ![X0]: (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=X0)),
% 253.21/32.31 inference(resolution,[status(thm)],[f3096,f4546])).
% 253.21/32.31 fof(f5804,plain,(
% 253.21/32.31 ![X0]: (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,c_Complex_OIm(c_Complex_Oii))=X0)),
% 253.21/32.31 inference(forward_demodulation,[status(thm)],[f3726,f5803])).
% 253.21/32.31 fof(f6118,plain,(
% 253.21/32.31 ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
% 253.21/32.31 inference(resolution,[status(thm)],[f2524,f4480])).
% 253.21/32.31 fof(f6125,plain,(
% 253.21/32.31 c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
% 253.21/32.31 inference(resolution,[status(thm)],[f2526,f4480])).
% 253.21/32.31 fof(f6250,plain,(
% 253.21/32.31 c_Groups_Oone__class_Oone(tc_Int_Oint)=c_Int_OBit1(c_Int_OPls)),
% 253.21/32.31 inference(forward_demodulation,[status(thm)],[f1920,f2735])).
% 253.21/32.31 fof(f6373,plain,(
% 253.21/32.31 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 253.21/32.31 inference(resolution,[status(thm)],[f4872,f4521])).
% 253.21/32.31 fof(f6437,plain,(
% 253.21/32.31 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_e____,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 253.21/32.31 inference(resolution,[status(thm)],[f5212,f1209])).
% 253.21/32.31 fof(f6438,plain,(
% 253.21/32.31 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_e____,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 253.21/32.31 inference(resolution,[status(thm)],[f6437,f2049])).
% 253.21/32.31 fof(f6439,plain,(
% 253.21/32.31 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_e____)),
% 253.21/32.31 inference(resolution,[status(thm)],[f6437,f1976])).
% 253.21/32.31 fof(f6507,plain,(
% 253.21/32.31 ![X0,X1]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0))),
% 253.21/32.31 inference(resolution,[status(thm)],[f1652,f4554])).
% 253.21/32.31 fof(f6848,plain,(
% 253.21/32.31 ![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))),
% 253.21/32.31 inference(forward_demodulation,[status(thm)],[f1815,f1770])).
% 253.21/32.31 fof(f6875,plain,(
% 253.21/32.31 ![X0,X1]: (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1)=c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X0))),
% 253.21/32.31 inference(resolution,[status(thm)],[f3028,f4546])).
% 253.21/32.31 fof(f6904,plain,(
% 253.21/32.31 ![X0,X1,X2]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,X0),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2)))),
% 253.21/32.31 inference(paramodulation,[status(thm)],[f6875,f5072])).
% 253.21/32.31 fof(f6954,plain,(
% 253.21/32.31 ![X0]: (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_e____,X0)))),
% 253.21/32.31 inference(resolution,[status(thm)],[f6904,f1209])).
% 253.21/32.31 fof(f6955,plain,(
% 253.21/32.31 ![X0]: (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_e____,X0)))),
% 253.21/32.31 inference(forward_demodulation,[status(thm)],[f5709,f6954])).
% 253.21/32.31 fof(f7021,plain,(
% 253.21/32.31 ![X0]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_e____,X0),X0))),
% 253.21/32.31 inference(resolution,[status(thm)],[f6955,f5212])).
% 253.21/32.31 fof(f8739,plain,(
% 253.21/32.31 spl0_161 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_e____,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 253.21/32.31 introduced(split_symbol_definition)).
% 253.21/32.31 fof(f8740,plain,(
% 253.21/32.31 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_e____,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~spl0_161),
% 253.21/32.31 inference(component_clause,[status(thm)],[f8739])).
% 253.21/32.31 fof(f13748,plain,(
% 253.21/32.31 ![X0]: (c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Int_OBit1(c_Int_OPls))))),
% 253.21/32.31 inference(forward_demodulation,[status(thm)],[f6250,f4796])).
% 253.21/32.31 fof(f13843,plain,(
% 253.21/32.31 ![X0]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Otimes__class_Otimes(tc_Int_Oint,X0,X0),c_Int_OPls))),
% 253.21/32.31 inference(forward_demodulation,[status(thm)],[f1815,f4946])).
% 253.21/32.31 fof(f14006,plain,(
% 253.21/32.31 ![X0]: (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(X0),c_Int_OBit1(c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Int_OPls))))),
% 253.21/32.31 inference(paramodulation,[status(thm)],[f2544,f13748])).
% 253.21/32.31 fof(f14007,plain,(
% 253.21/32.31 ![X0]: (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(X0),c_Int_OBit1(X0)))),
% 253.21/32.31 inference(forward_demodulation,[status(thm)],[f2427,f14006])).
% 253.21/32.31 fof(f14079,plain,(
% 253.21/32.31 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(X0),c_Int_OBit1(X0)))),
% 253.21/32.31 inference(resolution,[status(thm)],[f14007,f1780])).
% 253.21/32.31 fof(f17340,plain,(
% 253.21/32.31 ![X0,X1]: (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,sk0_16(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0)))|~spl0_1)),
% 253.21/32.31 inference(resolution,[status(thm)],[f4733,f2471])).
% 253.21/32.31 fof(f23045,plain,(
% 253.21/32.31 spl0_517 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Complex_OIm(c_Complex_Oii),c_Complex_OIm(c_Complex_Oii))),
% 253.21/32.31 introduced(split_symbol_definition)).
% 253.21/32.31 fof(f23047,plain,(
% 253.21/32.31 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Complex_OIm(c_Complex_Oii),c_Complex_OIm(c_Complex_Oii))|spl0_517),
% 253.21/32.31 inference(component_clause,[status(thm)],[f23045])).
% 253.21/32.31 fof(f23675,plain,(
% 253.21/32.31 ![X0]: (c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0))),
% 253.21/32.31 inference(forward_demodulation,[status(thm)],[f2961,f3047])).
% 253.21/32.31 fof(f24094,plain,(
% 253.21/32.31 ![X0]: (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0)=X0|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0))),
% 253.21/32.31 inference(forward_demodulation,[status(thm)],[f23675,f3051])).
% 253.21/32.31 fof(f24117,plain,(
% 253.21/32.31 ![X0]: (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0)=X0|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
% 253.21/32.31 inference(resolution,[status(thm)],[f24094,f6507])).
% 253.21/32.31 fof(f31902,plain,(
% 253.21/32.31 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_e____),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
% 253.21/32.31 inference(resolution,[status(thm)],[f1209,f5139])).
% 253.21/32.31 fof(f31903,plain,(
% 253.21/32.31 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_e____),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 253.21/32.31 inference(forward_demodulation,[status(thm)],[f6373,f31902])).
% 253.21/32.31 fof(f36109,plain,(
% 253.21/32.31 spl0_739 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
% 253.21/32.31 introduced(split_symbol_definition)).
% 253.21/32.31 fof(f36111,plain,(
% 253.21/32.31 ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))|spl0_739),
% 253.21/32.31 inference(component_clause,[status(thm)],[f36109])).
% 253.21/32.31 fof(f38069,plain,(
% 253.21/32.31 spl0_922 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,c_Complex_OIm(c_Complex_Oii)))),
% 253.21/32.31 introduced(split_symbol_definition)).
% 253.21/32.31 fof(f38070,plain,(
% 253.21/32.31 ![X0,X1]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,c_Complex_OIm(c_Complex_Oii)))|~spl0_922)),
% 253.82/32.31 inference(component_clause,[status(thm)],[f38069])).
% 253.82/32.31 fof(f38081,plain,(
% 253.82/32.31 spl0_924 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,c_Complex_OIm(c_Complex_Oii)),X0)),
% 253.82/32.31 introduced(split_symbol_definition)).
% 253.82/32.31 fof(f38082,plain,(
% 253.82/32.31 ![X0,X1]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,c_Complex_OIm(c_Complex_Oii)),X0)|~spl0_924)),
% 253.82/32.31 inference(component_clause,[status(thm)],[f38081])).
% 253.82/32.31 fof(f38096,plain,(
% 253.82/32.31 spl0_927 <=> ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Complex_OIm(c_Complex_Oii)),X0)),
% 253.82/32.31 introduced(split_symbol_definition)).
% 253.82/32.31 fof(f38097,plain,(
% 253.82/32.31 ![X0,X1]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Complex_OIm(c_Complex_Oii)),X0)|~spl0_927)),
% 253.82/32.31 inference(component_clause,[status(thm)],[f38096])).
% 253.82/32.31 fof(f38101,plain,(
% 253.82/32.31 spl0_928 <=> ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Complex_OIm(c_Complex_Oii)))),
% 253.82/32.31 introduced(split_symbol_definition)).
% 253.82/32.31 fof(f38102,plain,(
% 253.82/32.31 ![X0,X1]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Complex_OIm(c_Complex_Oii)))|~spl0_928)),
% 253.82/32.31 inference(component_clause,[status(thm)],[f38101])).
% 253.82/32.31 fof(f38111,plain,(
% 253.82/32.31 ![X0,X1]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)|~spl0_928)),
% 253.82/32.31 inference(forward_demodulation,[status(thm)],[f5728,f38102])).
% 253.82/32.31 fof(f38112,plain,(
% 253.82/32.31 ![X0,X1]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)|~spl0_927)),
% 253.82/32.31 inference(forward_demodulation,[status(thm)],[f5728,f38097])).
% 253.82/32.31 fof(f38113,plain,(
% 253.82/32.31 ![X0,X1]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)|~spl0_924)),
% 253.82/32.31 inference(forward_demodulation,[status(thm)],[f5804,f38082])).
% 253.82/32.31 fof(f38114,plain,(
% 253.82/32.31 ![X0,X1]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)|~spl0_922)),
% 253.82/32.31 inference(forward_demodulation,[status(thm)],[f5804,f38070])).
% 253.82/32.31 fof(f38425,plain,(
% 253.82/32.31 spl0_946 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
% 253.82/32.31 introduced(split_symbol_definition)).
% 253.82/32.31 fof(f38426,plain,(
% 253.82/32.31 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X0),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|~spl0_946)),
% 253.82/32.31 inference(component_clause,[status(thm)],[f38425])).
% 253.82/32.31 fof(f39015,plain,(
% 253.82/32.31 ![X0,X1]: (~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk0_1,X0)|~pd0_15(X0,X1))),
% 253.82/32.31 inference(resolution,[status(thm)],[f1212,f4728])).
% 253.82/32.31 fof(f39044,plain,(
% 253.82/32.31 ![X0]: (~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk0_1,sk0_15(X0))|~spl0_0)),
% 253.82/32.31 inference(resolution,[status(thm)],[f4730,f39015])).
% 253.82/32.31 fof(f39059,plain,(
% 253.82/32.31 $false|~spl0_0),
% 253.82/32.31 inference(resolution,[status(thm)],[f39044,f5554])).
% 253.82/32.31 fof(f39060,plain,(
% 253.82/32.31 ~spl0_0),
% 253.82/32.31 inference(contradiction_clause,[status(thm)],[f39059])).
% 253.82/32.31 fof(f39402,plain,(
% 253.82/32.31 spl0_981 <=> class_Orderings_Opreorder(tc_Int_Oint)),
% 253.82/32.31 introduced(split_symbol_definition)).
% 253.82/32.31 fof(f39404,plain,(
% 253.82/32.31 ~class_Orderings_Opreorder(tc_Int_Oint)|spl0_981),
% 253.82/32.31 inference(component_clause,[status(thm)],[f39402])).
% 253.82/32.31 fof(f39407,plain,(
% 253.82/32.31 spl0_982 <=> class_Orderings_Oorder(tc_Int_Oint)),
% 253.82/32.31 introduced(split_symbol_definition)).
% 253.82/32.31 fof(f39409,plain,(
% 253.82/32.31 ~class_Orderings_Oorder(tc_Int_Oint)|spl0_982),
% 253.82/32.31 inference(component_clause,[status(thm)],[f39407])).
% 253.82/32.31 fof(f39412,plain,(
% 253.82/32.31 spl0_983 <=> class_Orderings_Olinorder(tc_Int_Oint)),
% 253.82/32.31 introduced(split_symbol_definition)).
% 253.82/32.31 fof(f39414,plain,(
% 253.82/32.31 ~class_Orderings_Olinorder(tc_Int_Oint)|spl0_983),
% 253.82/32.31 inference(component_clause,[status(thm)],[f39412])).
% 253.82/32.31 fof(f39424,plain,(
% 253.82/32.31 spl0_984 <=> c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
% 253.82/32.31 introduced(split_symbol_definition)).
% 253.82/32.31 fof(f39426,plain,(
% 253.82/32.31 ~c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|spl0_984),
% 253.82/32.31 inference(component_clause,[status(thm)],[f39424])).
% 253.82/32.31 fof(f39447,plain,(
% 253.82/32.31 ~c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OPls)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|spl0_984),
% 253.82/32.31 inference(forward_demodulation,[status(thm)],[f1815,f39426])).
% 253.82/32.31 fof(f39448,plain,(
% 253.82/32.31 ~c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|spl0_984),
% 253.82/32.31 inference(forward_demodulation,[status(thm)],[f1809,f39447])).
% 253.82/32.31 fof(f39449,plain,(
% 253.82/32.31 $false|spl0_984),
% 253.82/32.31 inference(trivial_equality_resolution,[status(esa)],[f39448])).
% 253.82/32.31 fof(f39450,plain,(
% 253.82/32.31 spl0_984),
% 253.82/32.31 inference(contradiction_clause,[status(thm)],[f39449])).
% 253.82/32.31 fof(f39514,plain,(
% 253.82/32.31 spl0_995 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,v_r)),
% 253.82/32.31 introduced(split_symbol_definition)).
% 253.82/32.31 fof(f39515,plain,(
% 253.82/32.31 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,v_r)|~spl0_995)),
% 253.82/32.31 inference(component_clause,[status(thm)],[f39514])).
% 253.82/32.31 fof(f40099,plain,(
% 253.82/32.31 spl0_1018 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X0),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Int_OPls)),
% 253.82/32.31 introduced(split_symbol_definition)).
% 253.82/32.31 fof(f40100,plain,(
% 253.82/32.31 ![X0]: (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X0),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Int_OPls)|~spl0_1018)),
% 253.82/32.31 inference(component_clause,[status(thm)],[f40099])).
% 253.82/32.31 fof(f40104,plain,(
% 253.82/32.31 ![X0]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Int_OPls)|~spl0_1018)),
% 253.82/32.31 inference(forward_subsumption_resolution,[status(thm)],[f40100,f1917])).
% 253.82/32.31 fof(f40376,plain,(
% 253.82/32.31 $false|spl0_517),
% 253.82/32.31 inference(forward_subsumption_resolution,[status(thm)],[f23047,f1977])).
% 253.82/32.31 fof(f40377,plain,(
% 253.82/32.31 spl0_517),
% 253.82/32.31 inference(contradiction_clause,[status(thm)],[f40376])).
% 253.82/32.31 fof(f40509,plain,(
% 253.82/32.31 ![X0,X1]: (~c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)|~spl0_1018)),
% 253.82/32.31 inference(forward_subsumption_resolution,[status(thm)],[f6848,f40104])).
% 253.82/32.31 fof(f40528,plain,(
% 253.82/32.31 $false|~spl0_1018),
% 253.82/32.31 inference(backward_subsumption_resolution,[status(thm)],[f5570,f40509])).
% 253.82/32.31 fof(f40529,plain,(
% 253.82/32.31 ~spl0_1018),
% 253.82/32.31 inference(contradiction_clause,[status(thm)],[f40528])).
% 253.82/32.31 fof(f40651,plain,(
% 253.82/32.31 spl0_1045 <=> class_Orderings_Oorder(tc_Nat_Onat)),
% 253.82/32.31 introduced(split_symbol_definition)).
% 253.82/32.31 fof(f40653,plain,(
% 253.82/32.31 ~class_Orderings_Oorder(tc_Nat_Onat)|spl0_1045),
% 253.82/32.31 inference(component_clause,[status(thm)],[f40651])).
% 253.82/32.31 fof(f40659,plain,(
% 253.82/32.31 spl0_1047 <=> class_Orderings_Oord(tc_Nat_Onat)),
% 253.82/32.31 introduced(split_symbol_definition)).
% 253.82/32.31 fof(f40661,plain,(
% 253.82/32.31 ~class_Orderings_Oord(tc_Nat_Onat)|spl0_1047),
% 253.82/32.31 inference(component_clause,[status(thm)],[f40659])).
% 253.82/32.31 fof(f40724,plain,(
% 253.82/32.31 spl0_1060 <=> class_Orderings_Opreorder(tc_Nat_Onat)),
% 253.82/32.31 introduced(split_symbol_definition)).
% 253.82/32.31 fof(f40726,plain,(
% 253.82/32.31 ~class_Orderings_Opreorder(tc_Nat_Onat)|spl0_1060),
% 253.82/32.31 inference(component_clause,[status(thm)],[f40724])).
% 253.82/32.31 fof(f40731,plain,(
% 253.82/32.31 spl0_1061 <=> class_Orderings_Olinorder(tc_Nat_Onat)),
% 253.82/32.31 introduced(split_symbol_definition)).
% 253.82/32.31 fof(f40733,plain,(
% 253.82/32.31 ~class_Orderings_Olinorder(tc_Nat_Onat)|spl0_1061),
% 253.82/32.31 inference(component_clause,[status(thm)],[f40731])).
% 253.82/32.31 fof(f40736,plain,(
% 253.82/32.31 $false|spl0_1061),
% 253.82/32.31 inference(forward_subsumption_resolution,[status(thm)],[f40733,f4491])).
% 253.82/32.31 fof(f40737,plain,(
% 253.82/32.31 spl0_1061),
% 253.82/32.31 inference(contradiction_clause,[status(thm)],[f40736])).
% 253.82/32.31 fof(f40738,plain,(
% 253.82/32.31 $false|spl0_1060),
% 253.82/32.31 inference(forward_subsumption_resolution,[status(thm)],[f40726,f4490])).
% 253.82/32.31 fof(f40739,plain,(
% 253.82/32.31 spl0_1060),
% 253.82/32.31 inference(contradiction_clause,[status(thm)],[f40738])).
% 253.82/32.31 fof(f40740,plain,(
% 253.82/32.31 $false|spl0_1047),
% 253.82/32.31 inference(forward_subsumption_resolution,[status(thm)],[f40661,f4499])).
% 253.82/32.31 fof(f40741,plain,(
% 253.82/32.31 spl0_1047),
% 253.82/32.31 inference(contradiction_clause,[status(thm)],[f40740])).
% 253.82/32.31 fof(f40742,plain,(
% 253.82/32.31 $false|spl0_1045),
% 253.82/32.31 inference(forward_subsumption_resolution,[status(thm)],[f40653,f4497])).
% 253.82/32.31 fof(f40743,plain,(
% 253.82/32.31 spl0_1045),
% 253.82/32.31 inference(contradiction_clause,[status(thm)],[f40742])).
% 253.82/32.31 fof(f41452,plain,(
% 253.82/32.31 spl0_1122 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X0)),
% 253.82/32.31 introduced(split_symbol_definition)).
% 253.82/32.31 fof(f41453,plain,(
% 253.82/32.31 ![X0,X1]: (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X0)|~spl0_1122)),
% 253.82/32.31 inference(component_clause,[status(thm)],[f41452])).
% 253.82/32.31 fof(f41477,plain,(
% 253.82/32.31 $false|~spl0_1122),
% 253.82/32.31 inference(forward_subsumption_resolution,[status(thm)],[f41453,f2453])).
% 253.82/32.31 fof(f41478,plain,(
% 253.82/32.31 ~spl0_1122),
% 253.82/32.31 inference(contradiction_clause,[status(thm)],[f41477])).
% 253.82/32.31 fof(f41487,plain,(
% 253.82/32.31 spl0_1125 <=> ~X0=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
% 253.82/32.31 introduced(split_symbol_definition)).
% 253.82/32.31 fof(f41488,plain,(
% 253.82/32.31 ![X0]: (~X0=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~spl0_1125)),
% 253.82/32.31 inference(component_clause,[status(thm)],[f41487])).
% 253.82/32.31 fof(f41492,plain,(
% 253.82/32.31 $false|~spl0_1125),
% 253.82/32.31 inference(destructive_equality_resolution,[status(esa)],[f41488])).
% 253.82/32.31 fof(f41493,plain,(
% 253.82/32.31 ~spl0_1125),
% 253.82/32.31 inference(contradiction_clause,[status(thm)],[f41492])).
% 253.82/32.31 fof(f42465,plain,(
% 253.82/32.31 $false|~spl0_995),
% 253.82/32.31 inference(resolution,[status(thm)],[f39515,f7021])).
% 253.82/32.31 fof(f42466,plain,(
% 253.82/32.31 ~spl0_995),
% 253.82/32.31 inference(contradiction_clause,[status(thm)],[f42465])).
% 253.82/32.31 fof(f42757,plain,(
% 253.82/32.31 $false|spl0_739),
% 253.82/32.31 inference(forward_subsumption_resolution,[status(thm)],[f36111,f1916])).
% 253.82/32.31 fof(f42758,plain,(
% 253.82/32.31 spl0_739),
% 253.82/32.31 inference(contradiction_clause,[status(thm)],[f42757])).
% 253.82/32.31 fof(f42782,plain,(
% 253.82/32.31 spl0_1198 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit1(c_Int_OPls)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
% 253.82/32.31 introduced(split_symbol_definition)).
% 253.82/32.31 fof(f42783,plain,(
% 253.82/32.31 c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit1(c_Int_OPls)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|~spl0_1198),
% 253.82/32.31 inference(component_clause,[status(thm)],[f42782])).
% 253.82/32.31 fof(f42804,plain,(
% 253.82/32.31 c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|~spl0_1198),
% 253.82/32.31 inference(forward_demodulation,[status(thm)],[f2733,f42783])).
% 253.82/32.31 fof(f42805,plain,(
% 253.82/32.31 $false|~spl0_1198),
% 253.82/32.31 inference(forward_subsumption_resolution,[status(thm)],[f42804,f1917])).
% 253.82/32.31 fof(f42806,plain,(
% 253.82/32.31 ~spl0_1198),
% 253.82/32.31 inference(contradiction_clause,[status(thm)],[f42805])).
% 253.82/32.31 fof(f42808,plain,(
% 253.82/32.31 spl0_1201 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit1(c_Int_OPls)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
% 253.82/32.31 introduced(split_symbol_definition)).
% 253.82/32.31 fof(f42809,plain,(
% 253.82/32.31 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit1(c_Int_OPls)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|~spl0_1201),
% 253.82/32.31 inference(component_clause,[status(thm)],[f42808])).
% 253.82/32.31 fof(f42824,plain,(
% 253.82/32.31 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|~spl0_1201),
% 253.82/32.31 inference(forward_demodulation,[status(thm)],[f2733,f42809])).
% 253.82/32.31 fof(f43260,plain,(
% 253.82/32.31 spl0_1228 <=> class_Orderings_Oord(tc_Int_Oint)),
% 253.82/32.31 introduced(split_symbol_definition)).
% 253.82/32.31 fof(f43262,plain,(
% 253.82/32.31 ~class_Orderings_Oord(tc_Int_Oint)|spl0_1228),
% 253.82/32.31 inference(component_clause,[status(thm)],[f43260])).
% 253.82/32.31 fof(f43328,plain,(
% 253.82/32.31 $false|spl0_983),
% 253.82/32.31 inference(forward_subsumption_resolution,[status(thm)],[f39414,f4449])).
% 253.82/32.31 fof(f43329,plain,(
% 253.82/32.31 spl0_983),
% 253.82/32.31 inference(contradiction_clause,[status(thm)],[f43328])).
% 253.82/32.31 fof(f43330,plain,(
% 253.82/32.31 $false|spl0_981),
% 253.82/32.31 inference(forward_subsumption_resolution,[status(thm)],[f39404,f4448])).
% 253.82/32.31 fof(f43331,plain,(
% 253.82/32.31 spl0_981),
% 253.82/32.31 inference(contradiction_clause,[status(thm)],[f43330])).
% 253.82/32.31 fof(f43332,plain,(
% 253.82/32.31 $false|spl0_1228),
% 253.82/32.31 inference(forward_subsumption_resolution,[status(thm)],[f43262,f4460])).
% 253.82/32.31 fof(f43333,plain,(
% 253.82/32.31 spl0_1228),
% 253.82/32.31 inference(contradiction_clause,[status(thm)],[f43332])).
% 253.82/32.31 fof(f43334,plain,(
% 253.82/32.31 $false|spl0_982),
% 253.82/32.31 inference(forward_subsumption_resolution,[status(thm)],[f39409,f4456])).
% 253.82/32.31 fof(f43335,plain,(
% 253.82/32.31 spl0_982),
% 253.82/32.31 inference(contradiction_clause,[status(thm)],[f43334])).
% 253.82/32.31 fof(f43733,plain,(
% 253.82/32.31 ![X0,X1]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|~spl0_928)),
% 253.82/32.31 inference(forward_subsumption_resolution,[status(thm)],[f38111,f1976])).
% 253.82/32.31 fof(f44008,plain,(
% 253.82/32.31 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_e____)|~spl0_924),
% 253.82/32.31 inference(resolution,[status(thm)],[f38113,f6437])).
% 253.82/32.31 fof(f44009,plain,(
% 253.82/32.31 $false|~spl0_924),
% 253.82/32.31 inference(forward_subsumption_resolution,[status(thm)],[f44008,f6439])).
% 253.82/32.31 fof(f44010,plain,(
% 253.82/32.31 ~spl0_924),
% 253.82/32.31 inference(contradiction_clause,[status(thm)],[f44009])).
% 253.82/32.31 fof(f44011,plain,(
% 253.82/32.31 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_e____)|~spl0_922),
% 253.82/32.31 inference(resolution,[status(thm)],[f38114,f6437])).
% 253.82/32.31 fof(f44012,plain,(
% 253.82/32.31 $false|~spl0_922),
% 253.82/32.31 inference(forward_subsumption_resolution,[status(thm)],[f44011,f6439])).
% 253.82/32.31 fof(f44013,plain,(
% 253.82/32.31 ~spl0_922),
% 253.82/32.31 inference(contradiction_clause,[status(thm)],[f44012])).
% 253.82/32.31 fof(f45431,plain,(
% 253.82/32.31 $false|~spl0_1201),
% 253.82/32.31 inference(forward_subsumption_resolution,[status(thm)],[f42824,f6118])).
% 253.82/32.31 fof(f45432,plain,(
% 253.82/32.31 ~spl0_1201),
% 253.82/32.31 inference(contradiction_clause,[status(thm)],[f45431])).
% 253.82/32.31 fof(f45607,plain,(
% 253.82/32.31 spl0_1342 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Rings_Oinverse__class_Odivide(tc_Nat_Onat,X0,X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)),
% 253.82/32.31 introduced(split_symbol_definition)).
% 253.82/32.31 fof(f45608,plain,(
% 253.82/32.31 ![X0,X1]: (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Rings_Oinverse__class_Odivide(tc_Nat_Onat,X0,X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)|~spl0_1342)),
% 253.82/32.31 inference(component_clause,[status(thm)],[f45607])).
% 253.82/32.31 fof(f45612,plain,(
% 253.82/32.31 ![X0]: (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)|~spl0_1342)),
% 253.82/32.31 inference(forward_subsumption_resolution,[status(thm)],[f45608,f1917])).
% 253.82/32.31 fof(f45630,plain,(
% 253.82/32.31 $false|~spl0_1342),
% 253.82/32.31 inference(resolution,[status(thm)],[f45612,f1917])).
% 253.82/32.31 fof(f45631,plain,(
% 253.82/32.31 ~spl0_1342),
% 253.82/32.31 inference(contradiction_clause,[status(thm)],[f45630])).
% 253.82/32.31 fof(f45666,plain,(
% 253.82/32.31 spl0_1344 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Rings_Oinverse__class_Odivide(tc_Nat_Onat,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|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,X1))),
% 253.82/32.31 introduced(split_symbol_definition)).
% 253.82/32.31 fof(f45667,plain,(
% 253.82/32.31 ![X0,X1]: (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Rings_Oinverse__class_Odivide(tc_Nat_Onat,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|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,X1))|~spl0_1344)),
% 253.82/32.31 inference(component_clause,[status(thm)],[f45666])).
% 253.82/32.31 fof(f45671,plain,(
% 253.82/32.31 ![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))|~spl0_1344)),
% 253.82/32.31 inference(forward_subsumption_resolution,[status(thm)],[f45667,f1917])).
% 253.82/32.31 fof(f45764,plain,(
% 253.82/32.31 spl0_1350 <=> c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 253.82/32.31 introduced(split_symbol_definition)).
% 253.82/32.31 fof(f45767,plain,(
% 253.82/32.31 spl0_1351 <=> class_Orderings_Opreorder(tc_RealDef_Oreal)),
% 253.82/32.31 introduced(split_symbol_definition)).
% 253.82/32.31 fof(f45769,plain,(
% 253.82/32.31 ~class_Orderings_Opreorder(tc_RealDef_Oreal)|spl0_1351),
% 253.82/32.31 inference(component_clause,[status(thm)],[f45767])).
% 253.82/32.31 fof(f45772,plain,(
% 253.82/32.31 spl0_1352 <=> class_Orderings_Oorder(tc_RealDef_Oreal)),
% 253.82/32.31 introduced(split_symbol_definition)).
% 253.82/32.31 fof(f45774,plain,(
% 253.82/32.31 ~class_Orderings_Oorder(tc_RealDef_Oreal)|spl0_1352),
% 253.82/32.31 inference(component_clause,[status(thm)],[f45772])).
% 253.82/32.31 fof(f45777,plain,(
% 253.82/32.31 spl0_1353 <=> class_Orderings_Olinorder(tc_RealDef_Oreal)),
% 253.82/32.31 introduced(split_symbol_definition)).
% 253.82/32.31 fof(f45779,plain,(
% 253.82/32.31 ~class_Orderings_Olinorder(tc_RealDef_Oreal)|spl0_1353),
% 253.82/32.31 inference(component_clause,[status(thm)],[f45777])).
% 253.82/32.31 fof(f45782,plain,(
% 253.82/32.31 $false|spl0_1353),
% 253.82/32.31 inference(forward_subsumption_resolution,[status(thm)],[f45779,f4554])).
% 253.82/32.31 fof(f45783,plain,(
% 253.82/32.31 spl0_1353),
% 253.82/32.31 inference(contradiction_clause,[status(thm)],[f45782])).
% 253.82/32.31 fof(f45784,plain,(
% 253.82/32.31 $false|spl0_1352),
% 253.82/32.31 inference(forward_subsumption_resolution,[status(thm)],[f45774,f4561])).
% 253.82/32.31 fof(f45785,plain,(
% 253.82/32.31 spl0_1352),
% 253.82/32.31 inference(contradiction_clause,[status(thm)],[f45784])).
% 253.82/32.31 fof(f45786,plain,(
% 253.82/32.31 $false|spl0_1351),
% 253.82/32.31 inference(forward_subsumption_resolution,[status(thm)],[f45769,f4553])).
% 253.82/32.31 fof(f45787,plain,(
% 253.82/32.31 spl0_1351),
% 253.82/32.31 inference(contradiction_clause,[status(thm)],[f45786])).
% 253.82/32.31 fof(f46644,plain,(
% 253.82/32.31 spl0_1426 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Complex_OIm(c_Complex_Oii))),
% 253.82/32.31 introduced(split_symbol_definition)).
% 253.82/32.31 fof(f46646,plain,(
% 253.82/32.31 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Complex_OIm(c_Complex_Oii))|spl0_1426),
% 253.82/32.31 inference(component_clause,[status(thm)],[f46644])).
% 253.82/32.31 fof(f46672,plain,(
% 253.82/32.31 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Complex_OIm(c_Complex_Oii),c_Complex_OIm(c_Complex_Oii))|spl0_1426),
% 253.82/32.31 inference(forward_demodulation,[status(thm)],[f3726,f46646])).
% 253.82/32.31 fof(f46673,plain,(
% 253.82/32.31 $false|spl0_1426),
% 253.82/32.31 inference(forward_subsumption_resolution,[status(thm)],[f46672,f1977])).
% 253.82/32.31 fof(f46674,plain,(
% 253.82/32.31 spl0_1426),
% 253.82/32.31 inference(contradiction_clause,[status(thm)],[f46673])).
% 253.82/32.31 fof(f46745,plain,(
% 253.82/32.31 spl0_1442 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OBit1(c_Int_OPls))),
% 253.82/32.31 introduced(split_symbol_definition)).
% 253.82/32.31 fof(f46747,plain,(
% 253.82/32.31 ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OBit1(c_Int_OPls))|spl0_1442),
% 253.82/32.31 inference(component_clause,[status(thm)],[f46745])).
% 253.82/32.31 fof(f46773,plain,(
% 253.82/32.31 ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls))|spl0_1442),
% 253.82/32.31 inference(forward_demodulation,[status(thm)],[f6250,f46747])).
% 253.82/32.31 fof(f46774,plain,(
% 253.82/32.31 $false|spl0_1442),
% 253.82/32.31 inference(forward_subsumption_resolution,[status(thm)],[f46773,f1766])).
% 253.82/32.31 fof(f46775,plain,(
% 253.82/32.31 spl0_1442),
% 253.82/32.31 inference(contradiction_clause,[status(thm)],[f46774])).
% 253.82/32.31 fof(f46855,plain,(
% 253.82/32.31 spl0_1458 <=> 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))),
% 253.82/32.31 introduced(split_symbol_definition)).
% 253.82/32.31 fof(f46857,plain,(
% 253.82/32.31 ~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_1458),
% 253.82/32.31 inference(component_clause,[status(thm)],[f46855])).
% 253.82/32.31 fof(f46882,plain,(
% 253.82/32.31 $false|spl0_1458),
% 253.82/32.31 inference(forward_subsumption_resolution,[status(thm)],[f46857,f4772])).
% 253.82/32.31 fof(f46883,plain,(
% 253.82/32.31 spl0_1458),
% 253.82/32.31 inference(contradiction_clause,[status(thm)],[f46882])).
% 253.82/32.31 fof(f46939,plain,(
% 253.82/32.31 spl0_1471 <=> ~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)),
% 253.82/32.31 introduced(split_symbol_definition)).
% 253.82/32.31 fof(f46940,plain,(
% 253.82/32.31 ![X0]: (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)|~spl0_1471)),
% 253.82/32.31 inference(component_clause,[status(thm)],[f46939])).
% 253.82/32.31 fof(f46960,plain,(
% 253.82/32.31 $false|~spl0_1471),
% 253.82/32.31 inference(backward_subsumption_resolution,[status(thm)],[f6125,f46940])).
% 253.82/32.31 fof(f46961,plain,(
% 253.82/32.31 ~spl0_1471),
% 253.82/32.31 inference(contradiction_clause,[status(thm)],[f46960])).
% 253.82/32.31 fof(f47242,plain,(
% 253.82/32.31 spl0_1504 <=> ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)),
% 253.82/32.31 introduced(split_symbol_definition)).
% 253.82/32.31 fof(f47243,plain,(
% 253.82/32.31 ![X0,X1]: (~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)|~spl0_1504)),
% 253.82/32.31 inference(component_clause,[status(thm)],[f47242])).
% 253.82/32.31 fof(f47512,plain,(
% 253.82/32.31 $false|~spl0_1504),
% 253.82/32.31 inference(backward_subsumption_resolution,[status(thm)],[f14079,f47243])).
% 253.82/32.31 fof(f47513,plain,(
% 253.82/32.31 ~spl0_1504),
% 253.82/32.31 inference(contradiction_clause,[status(thm)],[f47512])).
% 253.82/32.31 fof(f50439,plain,(
% 253.82/32.31 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|~spl0_946),
% 253.82/32.31 inference(paramodulation,[status(thm)],[f2733,f38426])).
% 253.82/32.31 fof(f50440,plain,(
% 253.82/32.31 $false|~spl0_946),
% 253.82/32.31 inference(forward_subsumption_resolution,[status(thm)],[f50439,f6118])).
% 253.82/32.31 fof(f50441,plain,(
% 253.82/32.31 ~spl0_946),
% 253.82/32.31 inference(contradiction_clause,[status(thm)],[f50440])).
% 253.82/32.31 fof(f50797,plain,(
% 253.82/32.31 c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|~spl0_1344),
% 253.82/32.31 inference(paramodulation,[status(thm)],[f1809,f45671])).
% 253.82/32.31 fof(f50798,plain,(
% 253.82/32.31 $false|~spl0_1344),
% 253.82/32.31 inference(forward_subsumption_resolution,[status(thm)],[f50797,f1917])).
% 253.82/32.31 fof(f50799,plain,(
% 253.82/32.31 ~spl0_1344),
% 253.82/32.31 inference(contradiction_clause,[status(thm)],[f50798])).
% 253.82/32.31 fof(f54091,plain,(
% 253.82/32.31 spl0_1761 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Complex_OIm(c_Complex_Oii),c_NthRoot_Osqrt(c_Complex_OIm(c_Complex_Oii)))),
% 253.82/32.31 introduced(split_symbol_definition)).
% 253.82/32.31 fof(f54092,plain,(
% 253.82/32.31 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Complex_OIm(c_Complex_Oii),c_NthRoot_Osqrt(c_Complex_OIm(c_Complex_Oii)))|~spl0_1761),
% 253.82/32.31 inference(component_clause,[status(thm)],[f54091])).
% 253.82/32.31 fof(f54100,plain,(
% 253.82/32.31 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Complex_OIm(c_Complex_Oii),c_Complex_OIm(c_Complex_Oii))|~spl0_1761),
% 253.82/32.31 inference(forward_demodulation,[status(thm)],[f5536,f54092])).
% 253.82/32.31 fof(f54101,plain,(
% 253.82/32.31 $false|~spl0_1761),
% 253.82/32.31 inference(forward_subsumption_resolution,[status(thm)],[f54100,f4778])).
% 253.82/32.31 fof(f54102,plain,(
% 253.82/32.31 ~spl0_1761),
% 253.82/32.31 inference(contradiction_clause,[status(thm)],[f54101])).
% 253.82/32.31 fof(f54786,plain,(
% 253.82/32.31 spl0_1766 <=> class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal)),
% 253.82/32.31 introduced(split_symbol_definition)).
% 253.82/32.31 fof(f54788,plain,(
% 253.82/32.31 ~class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal)|spl0_1766),
% 253.82/32.31 inference(component_clause,[status(thm)],[f54786])).
% 253.82/32.31 fof(f54802,plain,(
% 253.82/32.31 $false|spl0_1766),
% 253.82/32.31 inference(forward_subsumption_resolution,[status(thm)],[f54788,f4513])).
% 253.82/32.31 fof(f54803,plain,(
% 253.82/32.31 spl0_1766),
% 253.82/32.31 inference(contradiction_clause,[status(thm)],[f54802])).
% 253.82/32.31 fof(f54804,plain,(
% 253.82/32.31 spl0_1768 <=> class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex)),
% 253.82/32.31 introduced(split_symbol_definition)).
% 253.82/32.31 fof(f54806,plain,(
% 253.82/32.31 ~class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex)|spl0_1768),
% 253.82/32.31 inference(component_clause,[status(thm)],[f54804])).
% 253.82/32.31 fof(f54820,plain,(
% 253.82/32.31 $false|spl0_1768),
% 253.82/32.31 inference(forward_subsumption_resolution,[status(thm)],[f54806,f4575])).
% 253.82/32.31 fof(f54821,plain,(
% 253.82/32.31 spl0_1768),
% 253.82/32.31 inference(contradiction_clause,[status(thm)],[f54820])).
% 253.82/32.31 fof(f55762,plain,(
% 253.82/32.31 spl0_1778 <=> ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X1)),
% 253.82/32.31 introduced(split_symbol_definition)).
% 253.82/32.31 fof(f55763,plain,(
% 253.82/32.31 ![X0]: (~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X0)|~spl0_1778)),
% 253.82/32.31 inference(component_clause,[status(thm)],[f55762])).
% 253.82/32.31 fof(f55773,plain,(
% 253.82/32.31 $false|~spl0_1778),
% 253.82/32.31 inference(forward_subsumption_resolution,[status(thm)],[f55763,f1766])).
% 253.82/32.31 fof(f55774,plain,(
% 253.82/32.31 ~spl0_1778),
% 253.82/32.31 inference(contradiction_clause,[status(thm)],[f55773])).
% 253.82/32.31 fof(f59350,plain,(
% 253.82/32.31 spl0_1873 <=> class_Orderings_Oord(tc_RealDef_Oreal)),
% 253.82/32.31 introduced(split_symbol_definition)).
% 253.82/32.31 fof(f59352,plain,(
% 253.82/32.31 ~class_Orderings_Oord(tc_RealDef_Oreal)|spl0_1873),
% 253.82/32.31 inference(component_clause,[status(thm)],[f59350])).
% 253.82/32.31 fof(f59415,plain,(
% 253.82/32.31 $false|spl0_1873),
% 253.82/32.31 inference(forward_subsumption_resolution,[status(thm)],[f59352,f4565])).
% 253.82/32.31 fof(f59416,plain,(
% 253.82/32.31 spl0_1873),
% 253.82/32.31 inference(contradiction_clause,[status(thm)],[f59415])).
% 253.82/32.31 fof(f59826,plain,(
% 253.82/32.31 spl0_1910 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_e____,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 253.82/32.31 introduced(split_symbol_definition)).
% 253.82/32.31 fof(f59827,plain,(
% 253.82/32.31 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_e____,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~spl0_1910),
% 253.82/32.31 inference(component_clause,[status(thm)],[f59826])).
% 253.82/32.31 fof(f59900,plain,(
% 253.82/32.31 $false|~spl0_1910),
% 253.82/32.31 inference(forward_subsumption_resolution,[status(thm)],[f59827,f6438])).
% 253.82/32.31 fof(f59901,plain,(
% 253.82/32.31 ~spl0_1910),
% 253.82/32.31 inference(contradiction_clause,[status(thm)],[f59900])).
% 253.82/32.31 fof(f60024,plain,(
% 253.82/32.31 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_e____)|~spl0_927),
% 253.82/32.31 inference(resolution,[status(thm)],[f38112,f6437])).
% 253.82/32.31 fof(f60025,plain,(
% 253.82/32.31 $false|~spl0_927),
% 253.82/32.31 inference(forward_subsumption_resolution,[status(thm)],[f60024,f6439])).
% 253.82/32.31 fof(f60026,plain,(
% 253.82/32.31 ~spl0_927),
% 253.82/32.31 inference(contradiction_clause,[status(thm)],[f60025])).
% 253.82/32.31 fof(f60099,plain,(
% 253.82/32.31 $false|~spl0_161),
% 253.82/32.31 inference(forward_subsumption_resolution,[status(thm)],[f8740,f6437])).
% 253.82/32.31 fof(f60100,plain,(
% 253.82/32.31 ~spl0_161),
% 253.82/32.31 inference(contradiction_clause,[status(thm)],[f60099])).
% 253.82/32.31 fof(f60449,plain,(
% 253.82/32.31 $false|~spl0_928),
% 253.82/32.31 inference(backward_subsumption_resolution,[status(thm)],[f7021,f43733])).
% 253.82/32.31 fof(f60450,plain,(
% 253.82/32.31 ~spl0_928),
% 253.82/32.31 inference(contradiction_clause,[status(thm)],[f60449])).
% 253.82/32.31 fof(f61448,plain,(
% 253.82/32.31 spl0_1932 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),
% 253.82/32.31 introduced(split_symbol_definition)).
% 253.82/32.31 fof(f61450,plain,(
% 253.82/32.31 ~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))|spl0_1932),
% 253.82/32.31 inference(component_clause,[status(thm)],[f61448])).
% 253.82/32.31 fof(f61458,plain,(
% 253.82/32.31 ~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))|spl0_1932),
% 253.82/32.31 inference(forward_demodulation,[status(thm)],[f1815,f61450])).
% 253.82/32.31 fof(f61459,plain,(
% 253.82/32.31 $false|spl0_1932),
% 253.82/32.31 inference(forward_subsumption_resolution,[status(thm)],[f61458,f5570])).
% 253.82/32.31 fof(f61460,plain,(
% 253.82/32.31 spl0_1932),
% 253.82/32.31 inference(contradiction_clause,[status(thm)],[f61459])).
% 253.82/32.31 fof(f63644,plain,(
% 253.82/32.31 spl0_2032 <=> class_Orderings_Oord(tc_HOL_Obool)),
% 253.82/32.31 introduced(split_symbol_definition)).
% 253.82/32.31 fof(f63646,plain,(
% 253.82/32.31 ~class_Orderings_Oord(tc_HOL_Obool)|spl0_2032),
% 253.82/32.31 inference(component_clause,[status(thm)],[f63644])).
% 253.82/32.31 fof(f63721,plain,(
% 253.82/32.31 spl0_2049 <=> class_Orderings_Opreorder(tc_HOL_Obool)),
% 253.82/32.31 introduced(split_symbol_definition)).
% 253.82/32.31 fof(f63723,plain,(
% 253.82/32.31 ~class_Orderings_Opreorder(tc_HOL_Obool)|spl0_2049),
% 253.82/32.31 inference(component_clause,[status(thm)],[f63721])).
% 253.82/32.31 fof(f63726,plain,(
% 253.82/32.31 spl0_2050 <=> class_Orderings_Oorder(tc_HOL_Obool)),
% 253.82/32.31 introduced(split_symbol_definition)).
% 253.82/32.31 fof(f63728,plain,(
% 253.82/32.31 ~class_Orderings_Oorder(tc_HOL_Obool)|spl0_2050),
% 253.82/32.31 inference(component_clause,[status(thm)],[f63726])).
% 253.82/32.31 fof(f63736,plain,(
% 253.82/32.31 $false|spl0_2050),
% 253.82/32.31 inference(forward_subsumption_resolution,[status(thm)],[f63728,f4505])).
% 253.82/32.31 fof(f63737,plain,(
% 253.82/32.31 spl0_2050),
% 253.82/32.31 inference(contradiction_clause,[status(thm)],[f63736])).
% 253.82/32.31 fof(f63738,plain,(
% 253.82/32.31 $false|spl0_2049),
% 253.82/32.31 inference(forward_subsumption_resolution,[status(thm)],[f63723,f4504])).
% 253.82/32.31 fof(f63739,plain,(
% 253.82/32.31 spl0_2049),
% 253.82/32.31 inference(contradiction_clause,[status(thm)],[f63738])).
% 253.82/32.31 fof(f63740,plain,(
% 253.82/32.31 $false|spl0_2032),
% 253.82/32.31 inference(forward_subsumption_resolution,[status(thm)],[f63646,f4506])).
% 253.82/32.31 fof(f63741,plain,(
% 253.82/32.31 spl0_2032),
% 253.82/32.31 inference(contradiction_clause,[status(thm)],[f63740])).
% 253.82/32.31 fof(f67953,plain,(
% 253.82/32.31 spl0_2258 <=> c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_e____)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 253.82/32.31 introduced(split_symbol_definition)).
% 253.82/32.31 fof(f67954,plain,(
% 253.82/32.31 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_e____)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_2258),
% 253.82/32.31 inference(component_clause,[status(thm)],[f67953])).
% 253.82/32.31 fof(f67970,plain,(
% 253.82/32.31 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~spl0_2258),
% 253.82/32.31 inference(backward_demodulation,[status(thm)],[f67954,f31903])).
% 253.82/32.31 fof(f67971,plain,(
% 253.82/32.31 $false|~spl0_2258),
% 253.82/32.31 inference(forward_subsumption_resolution,[status(thm)],[f67970,f4778])).
% 253.82/32.31 fof(f67972,plain,(
% 253.82/32.31 ~spl0_2258),
% 253.82/32.31 inference(contradiction_clause,[status(thm)],[f67971])).
% 253.82/32.31 fof(f69742,plain,(
% 253.82/32.31 spl0_2312 <=> c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 253.82/32.31 introduced(split_symbol_definition)).
% 253.82/32.31 fof(f69744,plain,(
% 253.82/32.31 ~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_2312),
% 253.82/32.31 inference(component_clause,[status(thm)],[f69742])).
% 253.82/32.31 fof(f69756,plain,(
% 253.82/32.31 ~c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|spl0_2312),
% 253.82/32.31 inference(forward_demodulation,[status(thm)],[f6373,f69744])).
% 253.82/32.31 fof(f69757,plain,(
% 253.82/32.31 $false|spl0_2312),
% 253.82/32.31 inference(trivial_equality_resolution,[status(esa)],[f69756])).
% 253.82/32.31 fof(f69758,plain,(
% 253.82/32.31 spl0_2312),
% 253.82/32.31 inference(contradiction_clause,[status(thm)],[f69757])).
% 253.82/32.31 fof(f71985,plain,(
% 253.82/32.31 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 253.82/32.31 inference(resolution,[status(thm)],[f24117,f5382])).
% 253.82/32.31 fof(f71986,plain,(
% 253.82/32.31 spl0_1350),
% 253.82/32.31 inference(split_clause,[status(thm)],[f71985,f45764])).
% 253.82/32.31 fof(f72161,plain,(
% 253.82/32.31 spl0_2449 <=> c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=c_Complex_OIm(c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),
% 253.82/32.31 introduced(split_symbol_definition)).
% 253.82/32.31 fof(f72163,plain,(
% 253.82/32.31 ~c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=c_Complex_OIm(c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))|spl0_2449),
% 253.82/32.31 inference(component_clause,[status(thm)],[f72161])).
% 253.82/32.31 fof(f72169,plain,(
% 253.82/32.31 ~c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|spl0_2449),
% 254.28/32.44 inference(forward_demodulation,[status(thm)],[f1823,f72163])).
% 254.28/32.44 fof(f72170,plain,(
% 254.28/32.44 $false|spl0_2449),
% 254.28/32.44 inference(trivial_equality_resolution,[status(esa)],[f72169])).
% 254.28/32.44 fof(f72171,plain,(
% 254.28/32.44 spl0_2449),
% 254.28/32.44 inference(contradiction_clause,[status(thm)],[f72170])).
% 254.28/32.44 fof(f72174,plain,(
% 254.28/32.44 spl0_2451 <=> c_Complex_OIm(c_Complex_Oii)=c_Complex_ORe(c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))),
% 254.28/32.44 introduced(split_symbol_definition)).
% 254.28/32.44 fof(f72176,plain,(
% 254.28/32.44 ~c_Complex_OIm(c_Complex_Oii)=c_Complex_ORe(c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))|spl0_2451),
% 254.28/32.44 inference(component_clause,[status(thm)],[f72174])).
% 254.28/32.44 fof(f72184,plain,(
% 254.28/32.44 ~c_Complex_OIm(c_Complex_Oii)=c_Complex_OIm(c_Complex_Oii)|spl0_2451),
% 254.28/32.44 inference(forward_demodulation,[status(thm)],[f5531,f72176])).
% 254.28/32.44 fof(f72185,plain,(
% 254.28/32.44 $false|spl0_2451),
% 254.28/32.44 inference(trivial_equality_resolution,[status(esa)],[f72184])).
% 254.28/32.44 fof(f72186,plain,(
% 254.28/32.44 spl0_2451),
% 254.28/32.44 inference(contradiction_clause,[status(thm)],[f72185])).
% 254.28/32.44 fof(f72353,plain,(
% 254.28/32.44 spl0_2453 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Int_OPls)|c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
% 254.28/32.44 introduced(split_symbol_definition)).
% 254.28/32.44 fof(f72354,plain,(
% 254.28/32.44 ![X0]: (c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Int_OPls)|c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))|~spl0_2453)),
% 254.28/32.44 inference(component_clause,[status(thm)],[f72353])).
% 254.28/32.44 fof(f72577,plain,(
% 254.28/32.44 ![X0]: (c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Int_OPls)|c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Int_OPls)|~spl0_2453)),
% 254.28/32.44 inference(forward_demodulation,[status(thm)],[f1815,f72354])).
% 254.28/32.44 fof(f72578,plain,(
% 254.28/32.44 ![X0]: (c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Int_OPls)|~spl0_2453)),
% 254.28/32.44 inference(duplicate_literals_removal,[status(esa)],[f72577])).
% 254.28/32.44 fof(f72580,plain,(
% 254.28/32.44 $false|~spl0_2453),
% 254.28/32.44 inference(backward_subsumption_resolution,[status(thm)],[f13843,f72578])).
% 254.28/32.44 fof(f72581,plain,(
% 254.28/32.44 ~spl0_2453),
% 254.28/32.44 inference(contradiction_clause,[status(thm)],[f72580])).
% 254.28/32.44 fof(f73837,plain,(
% 254.28/32.44 ![X0]: (~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk0_2,sk0_16(X0))|~spl0_3)),
% 254.28/32.44 inference(resolution,[status(thm)],[f1215,f4740])).
% 254.28/32.44 fof(f74001,plain,(
% 254.28/32.44 $false|~spl0_3|~spl0_1),
% 254.28/32.44 inference(resolution,[status(thm)],[f73837,f17340])).
% 254.28/32.44 fof(f74002,plain,(
% 254.28/32.44 ~spl0_3|~spl0_1),
% 254.28/32.44 inference(contradiction_clause,[status(thm)],[f74001])).
% 254.28/32.44 fof(f74003,plain,(
% 254.28/32.44 $false),
% 254.28/32.44 inference(sat_refutation,[status(thm)],[f4738,f4742,f4881,f39060,f39450,f40377,f40529,f40737,f40739,f40741,f40743,f41478,f41493,f42466,f42758,f42806,f43329,f43331,f43333,f43335,f44010,f44013,f45432,f45631,f45783,f45785,f45787,f46674,f46775,f46883,f46961,f47513,f50441,f50799,f54102,f54803,f54821,f55774,f59416,f59901,f60026,f60100,f60450,f61460,f63737,f63739,f63741,f67972,f69758,f71986,f72171,f72186,f72581,f74002])).
% 254.28/32.44 % SZS output end CNFRefutation for theBenchmark.p
% 257.41/33.58 % Elapsed time: 33.045888 seconds
% 257.41/33.58 % CPU time: 245.875048 seconds
% 257.41/33.58 % Total memory used: 1.932 GB
% 257.41/33.58 % Net memory used: 1.899 GB
%------------------------------------------------------------------------------