TSTP Solution File: SWV677-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV677-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:49:08 EDT 2024
% Result : Unsatisfiable 43.74s 5.87s
% Output : CNFRefutation 44.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SWV677-1 : TPTP v8.1.2. Released v4.1.0.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n023.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Apr 30 00:49:55 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.14/0.33 % Drodi V3.6.0
% 43.74/5.87 % Refutation found
% 43.74/5.87 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 43.74/5.87 % SZS output start CNFRefutation for theBenchmark
% 43.74/5.87 fof(f2,axiom,(
% 43.74/5.87 (![T_a,V_x,V_y,V_z]: (( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)| c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_z,T_a) ) ))),
% 43.74/5.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.74/5.87 fof(f3,axiom,(
% 43.74/5.87 (![T_a,V_x,V_y,V_z]: (( ~ class_OrderedGroup_Oab__group__add(T_a)| c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_y,c_HOL_Oplus__class_Oplus(V_x,V_z,T_a),T_a) ) ))),
% 43.74/5.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.74/5.87 fof(f4,axiom,(
% 43.74/5.87 (![V_m,V_n,V_k]: (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),V_k,tc_nat) = c_HOL_Oplus__class_Oplus(V_m,c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat),tc_nat) ))),
% 43.74/5.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.74/5.87 fof(f5,axiom,(
% 43.74/5.87 (![V_x,V_y,V_z]: (c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(V_y,c_HOL_Oplus__class_Oplus(V_x,V_z,tc_nat),tc_nat) ))),
% 43.74/5.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.74/5.87 fof(f8,axiom,(
% 43.74/5.87 (![T_a,V_a,V_b,V_c]: (( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),V_b,T_a) ) ))),
% 43.74/5.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.74/5.87 fof(f11,axiom,(
% 43.74/5.87 (![V_n,V_m]: (( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat) ) ))),
% 43.74/5.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.74/5.87 fof(f12,axiom,(
% 43.74/5.87 (![T_a,V_a]: (( ~ class_Ring__and__Field_Ozero__neq__one(T_a)| ~ class_Ring__and__Field_Ono__zero__divisors(T_a)| ~ class_Ring__and__Field_Omult__zero(T_a)| ~ class_Power_Opower(T_a)| c_Power_Opower__class_Opower(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ))),
% 43.74/5.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.74/5.87 fof(f16,axiom,(
% 43.74/5.87 (![T_a,V_b,V_a,V_c]: (( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)| ~ class_OrderedGroup_Ocomm__monoid__add(T_a)| c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)| ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)| ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ))),
% 43.74/5.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.74/5.87 fof(f17,axiom,(
% 43.74/5.87 (![V_n,V_m]: (c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ))),
% 43.74/5.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.74/5.87 fof(f19,axiom,(
% 43.74/5.87 (![V_x]: (( V_x = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))| V_x = c_HOL_Ozero__class_Ozero(tc_nat)| ~ c_HOL_Oord__class_Oless(V_x,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) ) ))),
% 43.74/5.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.74/5.87 fof(f30,axiom,(
% 43.74/5.87 (![V_m,V_n]: (( c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat)| c_Suc(V_m) = V_n| ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ))),
% 43.74/5.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.74/5.87 fof(f45,axiom,(
% 43.74/5.87 (![T_a]: (( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)| ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ))),
% 43.74/5.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.74/5.87 fof(f47,axiom,(
% 43.74/5.87 (![V_m,V_n]: (( c_Divides_Odiv__class_Omod(c_Suc(V_m),V_n,tc_nat) = c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat))| c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat)) = V_n ) ))),
% 43.74/5.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.74/5.87 fof(f51,axiom,(
% 43.85/5.88 (![T_a,V_n]: (( ~ class_Ring__and__Field_Osemiring__0(T_a)| ~ class_Power_Opower(T_a)| c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_Suc(V_n),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f52,axiom,(
% 43.85/5.88 (![V_m]: (c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_m) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f57,axiom,(
% 43.85/5.88 (![T_a,V_b,V_a,V_c]: (( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)| ~ class_OrderedGroup_Ocomm__monoid__add(T_a)| c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)| ~ c_lessequals(V_b,V_c,T_a)| ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f58,axiom,(
% 43.85/5.88 (![T_a,V_b,V_a,V_c]: (( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)| ~ class_OrderedGroup_Ocomm__monoid__add(T_a)| c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)| ~ c_lessequals(V_b,V_a,T_a)| ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f59,axiom,(
% 43.85/5.88 (![V_n,V_m]: (( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)| ~ c_lessequals(c_Suc(V_n),V_m,tc_nat) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f60,axiom,(
% 43.85/5.88 (![V_n,V_m]: (( c_lessequals(c_Suc(V_n),V_m,tc_nat)| ~ c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f72,axiom,(
% 43.85/5.88 (![V_m,V_n]: (( c_lessequals(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),V_n,tc_nat)| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f75,axiom,(
% 43.85/5.88 (![V_m,V_n]: (( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != V_m| V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f79,axiom,(
% 43.85/5.88 (![V_m,V_n]: (( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)| V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f92,axiom,(
% 43.85/5.88 (![V_m,V_n]: (( c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat) = V_m| ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f95,axiom,(
% 43.85/5.88 (![V_b,V_a]: (( ~ c_Ring__and__Field_Odvd__class_Odvd(V_b,V_a,tc_nat)| ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,tc_nat)| V_a = V_b ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f111,axiom,(
% 43.85/5.88 (![V_a,V_b,V_x]: (( c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(V_a,V_b,tc_nat),V_x,tc_nat)| ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_x,tc_nat) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f112,axiom,(
% 43.85/5.88 (![V_a,V_b,V_x]: (( c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(V_a,V_b,tc_nat),V_x,tc_nat)| ~ c_Ring__and__Field_Odvd__class_Odvd(V_b,V_x,tc_nat) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f119,axiom,(
% 43.85/5.88 (![T_a,V_a]: (( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)| c_Ring__and__Field_Odvd__class_Odvd(V_a,V_a,T_a) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f122,axiom,(
% 43.85/5.88 (![V_x]: (c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f126,axiom,(
% 43.85/5.88 (![T_a,V_n]: (( ~ class_Ring__and__Field_Ozero__neq__one(T_a)| ~ class_Ring__and__Field_Ono__zero__divisors(T_a)| ~ class_Ring__and__Field_Omult__zero(T_a)| ~ class_Power_Opower(T_a)| c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a)| V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f133,axiom,(
% 43.85/5.88 (![V_n]: (V_n != c_Suc(V_n) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f150,axiom,(
% 43.85/5.88 (![T_a,V_a]: (( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)| c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f152,axiom,(
% 43.85/5.88 (![T_a,V_x]: (( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = V_x ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f204,axiom,(
% 43.85/5.88 (![T_a,V_x,V_y]: (( ~ class_Orderings_Olinorder(T_a)| c_HOL_Oord__class_Oless(V_x,V_y,T_a)| c_lessequals(V_y,V_x,T_a) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f230,axiom,(
% 43.85/5.88 (![T_a]: (( ~ class_Ring__and__Field_Ozero__neq__one(T_a)| c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Oone__class_Oone(T_a) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f231,axiom,(
% 43.85/5.88 (![T_a,V_a]: (( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)| c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f239,axiom,(
% 43.85/5.88 (![V_n,V_m]: (( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat),tc_nat)| ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f240,axiom,(
% 43.85/5.88 (![V_m,V_n]: (( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat),tc_nat) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f264,axiom,(
% 43.85/5.88 (![V_a,V_b]: (( c_lessequals(c_GCD_Ogcd__class_Ogcd(V_a,V_b,tc_nat),V_b,tc_nat)| V_b = c_HOL_Ozero__class_Ozero(tc_nat) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f282,axiom,(
% 43.85/5.88 (![T_a,V_a,V_b,V_c]: (( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)| c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)| V_b = V_c ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f292,axiom,(
% 43.85/5.88 (![V_m,V_n]: (c_HOL_Oplus__class_Oplus(c_Suc(V_m),V_n,tc_nat) = c_HOL_Oplus__class_Oplus(V_m,c_Suc(V_n),tc_nat) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f301,axiom,(
% 43.85/5.88 (![V_m]: (~ c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f311,axiom,(
% 43.85/5.88 (![V_m,V_n]: (( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat)| ~ c_lessequals(V_m,V_n,tc_nat) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f312,axiom,(
% 43.85/5.88 (![V_m,V_n]: (( c_lessequals(V_m,V_n,tc_nat)| ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f319,axiom,(
% 43.85/5.88 (![V_x]: (c_GCD_Ogcd__class_Ogcd(V_x,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_x ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f327,axiom,(
% 43.85/5.88 (![T_a,V_a]: (( ~ class_Divides_Osemiring__div(T_a)| c_Divides_Odiv__class_Omod(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f354,axiom,(
% 43.85/5.88 (![T_a,V_x]: (( ~ class_OrderedGroup_Oab__group__add(T_a)| c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f356,axiom,(
% 43.85/5.88 (![T_a,V_a]: (( ~ class_OrderedGroup_Ogroup__add(T_a)| c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f359,axiom,(
% 43.85/5.88 (![T_a,V_a,V_b]: (( ~ class_OrderedGroup_Ogroup__add(T_a)| c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_b,T_a) = V_a ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f360,axiom,(
% 43.85/5.88 (![T_a,V_a,V_b]: (( ~ class_OrderedGroup_Oab__group__add(T_a)| c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)| V_a = V_b ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f364,axiom,(
% 43.85/5.88 (![T_a,V_a,V_b]: (( ~ class_OrderedGroup_Ogroup__add(T_a)| c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a) = V_a ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f366,axiom,(
% 43.85/5.88 (![T_a,V_a,V_n]: (( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(T_a)| c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a)| V_a = c_HOL_Ozero__class_Ozero(T_a) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f372,axiom,(
% 43.85/5.88 (![T_a,V_a]: (( ~ class_Ring__and__Field_Ofield(T_a)| c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f376,axiom,(
% 43.85/5.88 (![T_a,V_a,V_b,V_c]: (( ~ class_Ring__and__Field_Ofield(T_a)| c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f384,axiom,(
% 43.85/5.88 (![V_x,V_y]: (( c_lessequals(V_x,V_y,tc_nat)| ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f392,axiom,(
% 43.85/5.88 (![V_m,V_n]: (( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)| V_m = V_n| ~ c_lessequals(V_m,V_n,tc_nat) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f398,axiom,(
% 43.85/5.88 (![V_n]: (( V_n = c_HOL_Ozero__class_Ozero(tc_nat)| ~ c_lessequals(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f405,axiom,(
% 43.85/5.88 (![V_n]: (c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f406,axiom,(
% 43.85/5.88 (![V_n,V_m]: (( c_lessequals(c_Suc(V_n),V_m,tc_nat)| c_lessequals(V_m,V_n,tc_nat) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f407,axiom,(
% 43.85/5.88 (![V_m,V_n]: (( ~ c_lessequals(V_m,V_n,tc_nat)| ~ c_lessequals(c_Suc(V_n),V_m,tc_nat) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f408,axiom,(
% 43.85/5.88 (![V_m,V_n]: (c_lessequals(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),V_m,tc_nat) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f412,axiom,(
% 43.85/5.88 (![V_j,V_n,V_k]: (( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_j,V_n,tc_nat),V_k,tc_nat)| ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f414,axiom,(
% 43.85/5.88 (![V_l,V_n,V_m]: (( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_l,V_n,tc_nat),c_HOL_Ominus__class_Ominus(V_l,V_m,tc_nat),tc_nat)| ~ c_HOL_Oord__class_Oless(V_m,V_l,tc_nat)| ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f415,axiom,(
% 43.85/5.88 (![V_k,V_m,V_n]: (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f416,axiom,(
% 43.85/5.88 (![V_m,V_k,V_n]: (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat),c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f418,axiom,(
% 43.85/5.88 (![V_n,V_m]: (( c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)| c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)| V_m = V_n ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f419,axiom,(
% 43.85/5.88 (![V_k,V_m,V_n]: (( c_Ring__and__Field_Odvd__class_Odvd(V_k,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),tc_nat)| ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,tc_nat)| ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,tc_nat) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f420,axiom,(
% 43.85/5.88 (![V_m]: (c_HOL_Ominus__class_Ominus(V_m,V_m,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f421,axiom,(
% 43.85/5.88 (![V_m]: (c_HOL_Ominus__class_Ominus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f422,axiom,(
% 43.85/5.88 (![V_i,V_j,V_k]: (c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_k,tc_nat) = c_HOL_Ominus__class_Ominus(V_i,c_HOL_Oplus__class_Oplus(V_j,V_k,tc_nat),tc_nat) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f423,axiom,(
% 43.85/5.88 (![V_n]: (c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f424,axiom,(
% 43.85/5.88 (![V_n,V_m]: (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),V_n,tc_nat) = V_m ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f425,axiom,(
% 43.85/5.88 (![V_m,V_n]: (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),V_n,tc_nat) = V_m ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f426,axiom,(
% 43.85/5.88 ( ~ class_Ring__and__Field_Ofield(t_a)| v_a != c_HOL_Ozero__class_Ozero(t_a) ) ),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f427,axiom,(
% 43.85/5.88 (![T_a]: (( ~ class_Ring__and__Field_Oordered__semidom(T_a)| ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f457,axiom,(
% 43.85/5.88 (![T_a,V_a]: (( ~ class_Divides_Osemiring__div(T_a)| c_Divides_Odiv__class_Omod(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f462,axiom,(
% 43.85/5.88 (![V_n]: (~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f480,axiom,(
% 43.85/5.88 (![T_a]: (( ~ class_Ring__and__Field_Oordered__semidom(T_a)| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f484,axiom,(
% 43.85/5.88 (![T_a,V_a]: (( ~ class_Ring__and__Field_Odivision__ring(T_a)| c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)| V_a = c_HOL_Ozero__class_Ozero(T_a) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f491,axiom,(
% 43.85/5.88 (![V_j,V_i]: (~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_j,V_i,tc_nat),V_i,tc_nat) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f492,axiom,(
% 43.85/5.88 (![V_i,V_j]: (~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat),V_i,tc_nat) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f493,axiom,(
% 43.85/5.88 (![V_i,V_j,V_k]: (( c_HOL_Oord__class_Oless(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat)| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),V_j,tc_nat) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f494,axiom,(
% 43.85/5.88 (![V_i,V_k,V_j]: (( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),V_j,tc_nat)| ~ c_HOL_Oord__class_Oless(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f495,axiom,(
% 43.85/5.88 (![V_x,V_y]: (( c_GCD_Ogcd__class_Ogcd(V_x,V_y,tc_nat) = V_y| ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,tc_nat) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f496,axiom,(
% 43.85/5.88 (![V_x,V_y]: (( c_GCD_Ogcd__class_Ogcd(V_x,V_y,tc_nat) = V_x| ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f497,axiom,(
% 43.85/5.88 (![V_x,V_y]: (( c_GCD_Ogcd__class_Ogcd(V_x,V_y,tc_nat) != V_x| c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f521,axiom,(
% 43.85/5.88 (![V_m,V_n]: (( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat)| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f522,axiom,(
% 43.85/5.88 (![V_n,V_m]: (( c_HOL_Oplus__class_Oplus(V_n,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),tc_nat) = V_m| c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f552,axiom,(
% 43.85/5.88 (![T_a,V_x]: (( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)| c_Power_Opower__class_Opower(V_x,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f555,axiom,(
% 43.85/5.88 (![T_a,V_a,V_b]: (( ~ class_Ring__and__Field_Ofield(T_a)| c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) != c_HOL_Oone__class_Oone(T_a)| V_b = c_HOL_Ozero__class_Ozero(T_a)| V_a = V_b ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f556,axiom,(
% 43.85/5.88 (![T_a,V_a]: (( ~ class_Ring__and__Field_Ofield(T_a)| c_HOL_Oinverse__class_Oinverse(V_a,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f558,axiom,(
% 43.85/5.88 (![T_a,V_x]: (( ~ class_Ring__and__Field_Ofield(T_a)| V_x = c_HOL_Ozero__class_Ozero(T_a)| c_HOL_Oinverse__class_Odivide(V_x,V_x,T_a) = c_HOL_Oone__class_Oone(T_a) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f564,axiom,(
% 43.85/5.88 (![T_a,V_a,V_b,V_n]: (( ~ class_Ring__and__Field_Ofield(T_a)| c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),V_n,T_a) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a)| V_b = c_HOL_Ozero__class_Ozero(T_a) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f568,axiom,(
% 43.85/5.88 (![T_a,V_a,V_n,V_m]: (( ~ class_Ring__and__Field_Ofield(T_a)| c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat),T_a) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(V_a,V_m,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)| ~ c_lessequals(V_m,V_n,tc_nat)| V_a = c_HOL_Ozero__class_Ozero(T_a) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f570,axiom,(
% 43.85/5.88 (![V_m,V_k,V_n]: (( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat)| ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)| ~ c_lessequals(V_k,V_n,tc_nat)| ~ c_lessequals(V_k,V_m,tc_nat) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f579,axiom,(
% 43.85/5.88 (![V_j,V_k,V_i]: (( c_lessequals(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),V_i,tc_nat)| ~ c_lessequals(V_j,c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),tc_nat) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f580,axiom,(
% 43.85/5.88 (![V_k,V_m,V_n]: (( c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,tc_nat)| ~ c_lessequals(V_n,V_m,tc_nat)| ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,tc_nat)| ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),tc_nat) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f581,axiom,(
% 43.85/5.88 (![V_k,V_n,V_m]: (( c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,tc_nat)| ~ c_lessequals(V_n,V_m,tc_nat)| ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,tc_nat)| ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),tc_nat) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f582,axiom,(
% 43.85/5.88 (![V_m,V_n]: (( c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)| c_lessequals(V_m,V_n,tc_nat) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f583,axiom,(
% 43.85/5.88 (![V_m,V_n]: (( c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)| ~ c_lessequals(V_m,V_n,tc_nat) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f603,axiom,(
% 43.85/5.88 (![T_a,V_a,V_m,V_n]: (( ~ class_Ring__and__Field_Ofield(T_a)| c_Power_Opower__class_Opower(V_a,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),T_a) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(V_a,V_m,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)| ~ c_lessequals(V_n,V_m,tc_nat)| V_a = c_HOL_Ozero__class_Ozero(T_a) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f604,axiom,(
% 43.85/5.88 (![V_n,V_m]: (( c_lessequals(V_n,V_m,tc_nat)| c_lessequals(V_m,V_n,tc_nat) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f608,axiom,(
% 43.85/5.88 (![V_n]: (c_lessequals(V_n,V_n,tc_nat) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f609,axiom,(
% 43.85/5.88 (![V_i,V_k,V_j]: (( c_lessequals(V_i,V_k,tc_nat)| ~ c_lessequals(V_j,V_k,tc_nat)| ~ c_lessequals(V_i,V_j,tc_nat) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f614,axiom,(
% 43.85/5.88 (![T_a,V_n]: (( ~ class_OrderedGroup_Omonoid__mult(T_a)| c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(T_a),V_n,T_a) = c_HOL_Oone__class_Oone(T_a) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f616,axiom,(
% 43.85/5.88 (![T_a,V_a]: (( ~ class_Ring__and__Field_Ofield(T_a)| c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f621,axiom,(
% 43.85/5.88 (![V_m,V_n]: (( V_m = V_n| ~ c_lessequals(V_n,V_m,tc_nat)| ~ c_lessequals(V_m,V_n,tc_nat) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f625,axiom,(
% 43.85/5.88 (![T_a,V_a,V_b,V_c]: (( ~ class_Ring__and__Field_Ofield(T_a)| c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f629,axiom,(
% 43.85/5.88 (![V_m,V_k,V_n]: (( c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat)| ~ c_lessequals(V_m,V_n,tc_nat)| ~ c_lessequals(V_k,V_n,tc_nat)| ~ c_lessequals(V_k,V_m,tc_nat) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f635,axiom,(
% 43.85/5.88 (![V_m,V_n]: (c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f636,axiom,(
% 43.85/5.88 (![V_i,V_j,V_k]: (c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_k,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i,V_k,tc_nat),V_j,tc_nat) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f638,negated_conjecture,(
% 43.85/5.88 class_Ring__and__Field_Ofield(t_a) ),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f639,negated_conjecture,(
% 43.85/5.88 ( c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) != c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a)| c_lessequals(v_n,v_m,tc_nat) ) ),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f640,negated_conjecture,(
% 43.85/5.88 ( c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) != c_Power_Opower__class_Opower(v_a,c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat),t_a)| ~ c_lessequals(v_n,v_m,tc_nat) ) ),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f642,axiom,(
% 43.85/5.88 (![T]: (( ~ class_Ring__and__Field_Ofield(T)| class_Ring__and__Field_Oring__1__no__zero__divisors(T) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f643,axiom,(
% 43.85/5.88 (![T]: (( ~ class_Ring__and__Field_Ofield(T)| class_OrderedGroup_Ocancel__ab__semigroup__add(T) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f646,axiom,(
% 43.85/5.88 (![T]: (( ~ class_Ring__and__Field_Ofield(T)| class_Ring__and__Field_Ocomm__semiring__1(T) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f648,axiom,(
% 43.85/5.88 (![T]: (( ~ class_Ring__and__Field_Ofield(T)| class_Ring__and__Field_Odivision__ring(T) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f649,axiom,(
% 43.85/5.88 (![T]: (( ~ class_Ring__and__Field_Ofield(T)| class_OrderedGroup_Ocomm__monoid__add(T) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f653,axiom,(
% 43.85/5.88 (![T]: (( ~ class_Ring__and__Field_Ofield(T)| class_Ring__and__Field_Osemiring__0(T) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f654,axiom,(
% 43.85/5.88 (![T]: (( ~ class_Ring__and__Field_Ofield(T)| class_OrderedGroup_Oab__group__add(T) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f656,axiom,(
% 43.85/5.88 (![T]: (( ~ class_Ring__and__Field_Ofield(T)| class_OrderedGroup_Omonoid__mult(T) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f658,axiom,(
% 43.85/5.88 (![T]: (( ~ class_Ring__and__Field_Ofield(T)| class_OrderedGroup_Ogroup__add(T) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f661,axiom,(
% 43.85/5.88 (![T]: (( ~ class_Ring__and__Field_Ofield(T)| class_Power_Opower(T) ) ))),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f663,axiom,(
% 43.85/5.88 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f665,axiom,(
% 43.85/5.88 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f668,axiom,(
% 43.85/5.88 class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f669,axiom,(
% 43.85/5.88 class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f670,axiom,(
% 43.85/5.88 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f672,axiom,(
% 43.85/5.88 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f673,axiom,(
% 43.85/5.88 class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f675,axiom,(
% 43.85/5.88 class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f676,axiom,(
% 43.85/5.88 class_Ring__and__Field_Omult__zero(tc_nat) ),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f679,axiom,(
% 43.85/5.88 class_Divides_Osemiring__div(tc_nat) ),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f680,axiom,(
% 43.85/5.88 class_Nat_Osemiring__char__0(tc_nat) ),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f682,axiom,(
% 43.85/5.88 class_Orderings_Olinorder(tc_nat) ),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f684,axiom,(
% 43.85/5.88 class_Power_Opower(tc_nat) ),
% 43.85/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.85/5.88 fof(f687,plain,(
% 43.85/5.88 ![T_a]: (~class_Ring__and__Field_Ocomm__semiring__1(T_a)|(![V_x,V_y,V_z]: c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_z,T_a)))),
% 43.85/5.88 inference(miniscoping,[status(esa)],[f2])).
% 43.85/5.88 fof(f688,plain,(
% 43.85/5.88 ![X0,X1,X2,X3]: (~class_Ring__and__Field_Ocomm__semiring__1(X0)|c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f687])).
% 43.85/5.88 fof(f689,plain,(
% 43.85/5.88 ![T_a]: (~class_OrderedGroup_Oab__group__add(T_a)|(![V_x,V_y,V_z]: c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a)=c_HOL_Oplus__class_Oplus(V_y,c_HOL_Oplus__class_Oplus(V_x,V_z,T_a),T_a)))),
% 43.85/5.88 inference(miniscoping,[status(esa)],[f3])).
% 43.85/5.88 fof(f690,plain,(
% 43.85/5.88 ![X0,X1,X2,X3]: (~class_OrderedGroup_Oab__group__add(X0)|c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f689])).
% 43.85/5.88 fof(f691,plain,(
% 43.85/5.88 ![X0,X1,X2]: (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)=c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f4])).
% 43.85/5.88 fof(f692,plain,(
% 43.85/5.88 ![X0,X1,X2]: (c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f5])).
% 43.85/5.88 fof(f697,plain,(
% 43.85/5.88 ![T_a]: (~class_Ring__and__Field_Ocomm__semiring__1(T_a)|(![V_a,V_b,V_c]: c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),V_b,T_a)))),
% 43.85/5.88 inference(miniscoping,[status(esa)],[f8])).
% 43.85/5.88 fof(f698,plain,(
% 43.85/5.88 ![X0,X1,X2,X3]: (~class_Ring__and__Field_Ocomm__semiring__1(X0)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f697])).
% 43.85/5.88 fof(f703,plain,(
% 43.85/5.88 ![X0,X1]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f11])).
% 43.85/5.88 fof(f704,plain,(
% 43.85/5.88 ![T_a]: ((((~class_Ring__and__Field_Ozero__neq__one(T_a)|~class_Ring__and__Field_Ono__zero__divisors(T_a))|~class_Ring__and__Field_Omult__zero(T_a))|~class_Power_Opower(T_a))|(![V_a]: ~c_Power_Opower__class_Opower(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a)=c_HOL_Ozero__class_Ozero(T_a)))),
% 43.85/5.88 inference(miniscoping,[status(esa)],[f12])).
% 43.85/5.88 fof(f705,plain,(
% 43.85/5.88 ![X0,X1]: (~class_Ring__and__Field_Ozero__neq__one(X0)|~class_Ring__and__Field_Ono__zero__divisors(X0)|~class_Ring__and__Field_Omult__zero(X0)|~class_Power_Opower(X0)|~c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0)=c_HOL_Ozero__class_Ozero(X0))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f704])).
% 43.85/5.88 fof(f711,plain,(
% 43.85/5.88 ![T_a,V_a]: ((![V_b,V_c]: (((~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|~class_OrderedGroup_Ocomm__monoid__add(T_a))|c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a))|~c_HOL_Oord__class_Oless(V_b,V_c,T_a)))|~c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a))),
% 43.85/5.88 inference(miniscoping,[status(esa)],[f16])).
% 43.85/5.88 fof(f712,plain,(
% 43.85/5.88 ![X0,X1,X2,X3]: (~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)|~class_OrderedGroup_Ocomm__monoid__add(X0)|c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0)|~c_HOL_Oord__class_Oless(X1,X3,X0)|~c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f711])).
% 43.85/5.88 fof(f713,plain,(
% 43.85/5.88 ![X0,X1]: (c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f17])).
% 43.85/5.88 fof(f716,plain,(
% 43.85/5.88 ![X0]: (X0=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|X0=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Oord__class_Oless(X0,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f19])).
% 43.85/5.88 fof(f730,plain,(
% 43.85/5.88 ![X0,X1]: (c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)|c_Suc(X0)=X1|~c_HOL_Oord__class_Oless(X0,X1,tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f30])).
% 43.85/5.88 fof(f752,plain,(
% 43.85/5.88 ![X0]: (~class_OrderedGroup_Opordered__comm__monoid__add(X0)|~c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)|~c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)=c_HOL_Ozero__class_Ozero(X0))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f45])).
% 43.85/5.88 fof(f755,plain,(
% 43.85/5.88 ![X0,X1]: (c_Divides_Odiv__class_Omod(c_Suc(X0),X1,tc_nat)=c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat))|c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat))=X1)),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f47])).
% 43.85/5.88 fof(f760,plain,(
% 43.85/5.88 ![T_a]: ((~class_Ring__and__Field_Osemiring__0(T_a)|~class_Power_Opower(T_a))|(![V_n]: c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_Suc(V_n),T_a)=c_HOL_Ozero__class_Ozero(T_a)))),
% 43.85/5.88 inference(miniscoping,[status(esa)],[f51])).
% 43.85/5.88 fof(f761,plain,(
% 43.85/5.88 ![X0,X1]: (~class_Ring__and__Field_Osemiring__0(X0)|~class_Power_Opower(X0)|c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0)=c_HOL_Ozero__class_Ozero(X0))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f760])).
% 43.85/5.88 fof(f762,plain,(
% 43.85/5.88 ![X0]: (~c_HOL_Ozero__class_Ozero(tc_nat)=c_Suc(X0))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f52])).
% 43.85/5.88 fof(f767,plain,(
% 43.85/5.88 ![T_a,V_a]: ((![V_b,V_c]: (((~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|~class_OrderedGroup_Ocomm__monoid__add(T_a))|c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a))|~c_lessequals(V_b,V_c,T_a)))|~c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a))),
% 43.85/5.88 inference(miniscoping,[status(esa)],[f57])).
% 43.85/5.88 fof(f768,plain,(
% 43.85/5.88 ![X0,X1,X2,X3]: (~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)|~class_OrderedGroup_Ocomm__monoid__add(X0)|c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0)|~c_lessequals(X1,X3,X0)|~c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f767])).
% 43.85/5.88 fof(f769,plain,(
% 43.85/5.88 ![T_a,V_c]: ((![V_b,V_a]: (((~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|~class_OrderedGroup_Ocomm__monoid__add(T_a))|c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a))|~c_lessequals(V_b,V_a,T_a)))|~c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a))),
% 43.85/5.88 inference(miniscoping,[status(esa)],[f58])).
% 43.85/5.88 fof(f770,plain,(
% 43.85/5.88 ![X0,X1,X2,X3]: (~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)|~class_OrderedGroup_Ocomm__monoid__add(X0)|c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0)|~c_lessequals(X1,X2,X0)|~c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f769])).
% 43.85/5.88 fof(f771,plain,(
% 43.85/5.88 ![X0,X1]: (c_HOL_Oord__class_Oless(X0,X1,tc_nat)|~c_lessequals(c_Suc(X0),X1,tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f59])).
% 43.85/5.88 fof(f772,plain,(
% 43.85/5.88 ![X0,X1]: (c_lessequals(c_Suc(X0),X1,tc_nat)|~c_HOL_Oord__class_Oless(X0,X1,tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f60])).
% 43.85/5.88 fof(f792,plain,(
% 43.85/5.88 ![V_n]: ((![V_m]: c_lessequals(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),V_n,tc_nat))|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat))),
% 43.85/5.88 inference(miniscoping,[status(esa)],[f72])).
% 43.85/5.88 fof(f793,plain,(
% 43.85/5.88 ![X0,X1]: (c_lessequals(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f792])).
% 43.85/5.88 fof(f797,plain,(
% 43.85/5.88 ![V_n]: ((![V_m]: ~c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)=V_m)|V_n=c_HOL_Ozero__class_Ozero(tc_nat))),
% 43.85/5.88 inference(miniscoping,[status(esa)],[f75])).
% 43.85/5.88 fof(f798,plain,(
% 43.85/5.88 ![X0,X1]: (~c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)=X0|X1=c_HOL_Ozero__class_Ozero(tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f797])).
% 43.85/5.88 fof(f804,plain,(
% 43.85/5.88 ![V_n]: ((![V_m]: ~c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))|V_n=c_HOL_Ozero__class_Ozero(tc_nat))),
% 43.85/5.88 inference(miniscoping,[status(esa)],[f79])).
% 43.85/5.88 fof(f805,plain,(
% 43.85/5.88 ![X0,X1]: (~c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|X1=c_HOL_Ozero__class_Ozero(tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f804])).
% 43.85/5.88 fof(f823,plain,(
% 43.85/5.88 ![X0,X1]: (c_Divides_Odiv__class_Omod(X0,X1,tc_nat)=X0|~c_HOL_Oord__class_Oless(X0,X1,tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f92])).
% 43.85/5.88 fof(f827,plain,(
% 43.85/5.88 ![X0,X1]: (~c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)|X1=X0)),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f95])).
% 43.85/5.88 fof(f848,plain,(
% 43.85/5.88 ![V_a,V_x]: ((![V_b]: c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(V_a,V_b,tc_nat),V_x,tc_nat))|~c_Ring__and__Field_Odvd__class_Odvd(V_a,V_x,tc_nat))),
% 43.85/5.88 inference(miniscoping,[status(esa)],[f111])).
% 43.85/5.88 fof(f849,plain,(
% 43.85/5.88 ![X0,X1,X2]: (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat),X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f848])).
% 43.85/5.88 fof(f850,plain,(
% 43.85/5.88 ![V_b,V_x]: ((![V_a]: c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(V_a,V_b,tc_nat),V_x,tc_nat))|~c_Ring__and__Field_Odvd__class_Odvd(V_b,V_x,tc_nat))),
% 43.85/5.88 inference(miniscoping,[status(esa)],[f112])).
% 43.85/5.88 fof(f851,plain,(
% 43.85/5.88 ![X0,X1,X2]: (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat),X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f850])).
% 43.85/5.88 fof(f863,plain,(
% 43.85/5.88 ![T_a]: (~class_Ring__and__Field_Ocomm__semiring__1(T_a)|(![V_a]: c_Ring__and__Field_Odvd__class_Odvd(V_a,V_a,T_a)))),
% 43.85/5.88 inference(miniscoping,[status(esa)],[f119])).
% 43.85/5.88 fof(f864,plain,(
% 43.85/5.88 ![X0,X1]: (~class_Ring__and__Field_Ocomm__semiring__1(X0)|c_Ring__and__Field_Odvd__class_Odvd(X1,X1,X0))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f863])).
% 43.85/5.88 fof(f869,plain,(
% 43.85/5.88 ![X0]: (c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f122])).
% 43.85/5.88 fof(f874,plain,(
% 43.85/5.88 ![V_n]: ((![T_a]: ((((~class_Ring__and__Field_Ozero__neq__one(T_a)|~class_Ring__and__Field_Ono__zero__divisors(T_a))|~class_Ring__and__Field_Omult__zero(T_a))|~class_Power_Opower(T_a))|c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a)=c_HOL_Ozero__class_Ozero(T_a)))|V_n=c_HOL_Ozero__class_Ozero(tc_nat))),
% 43.85/5.88 inference(miniscoping,[status(esa)],[f126])).
% 43.85/5.88 fof(f875,plain,(
% 43.85/5.88 ![X0,X1]: (~class_Ring__and__Field_Ozero__neq__one(X0)|~class_Ring__and__Field_Ono__zero__divisors(X0)|~class_Ring__and__Field_Omult__zero(X0)|~class_Power_Opower(X0)|c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0)=c_HOL_Ozero__class_Ozero(X0)|X1=c_HOL_Ozero__class_Ozero(tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f874])).
% 43.85/5.88 fof(f886,plain,(
% 43.85/5.88 ![X0]: (~X0=c_Suc(X0))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f133])).
% 43.85/5.88 fof(f913,plain,(
% 43.85/5.88 ![T_a]: (~class_OrderedGroup_Ocomm__monoid__add(T_a)|(![V_a]: c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=V_a))),
% 43.85/5.88 inference(miniscoping,[status(esa)],[f150])).
% 43.85/5.88 fof(f914,plain,(
% 43.85/5.88 ![X0,X1]: (~class_OrderedGroup_Ocomm__monoid__add(X0)|c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0)=X1)),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f913])).
% 43.85/5.88 fof(f917,plain,(
% 43.85/5.88 ![T_a]: (~class_Ring__and__Field_Ocomm__semiring__1(T_a)|(![V_x]: c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)=V_x))),
% 43.85/5.88 inference(miniscoping,[status(esa)],[f152])).
% 43.85/5.88 fof(f918,plain,(
% 43.85/5.88 ![X0,X1]: (~class_Ring__and__Field_Ocomm__semiring__1(X0)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0)=X1)),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f917])).
% 43.85/5.88 fof(f999,plain,(
% 43.85/5.88 ![X0,X1,X2]: (~class_Orderings_Olinorder(X0)|c_HOL_Oord__class_Oless(X1,X2,X0)|c_lessequals(X2,X1,X0))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f204])).
% 43.85/5.88 fof(f1040,plain,(
% 43.85/5.88 ![X0]: (~class_Ring__and__Field_Ozero__neq__one(X0)|~c_HOL_Ozero__class_Ozero(X0)=c_HOL_Oone__class_Oone(X0))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f230])).
% 43.85/5.88 fof(f1041,plain,(
% 43.85/5.88 ![T_a]: (~class_Ring__and__Field_Ocomm__semiring__1(T_a)|(![V_a]: c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(T_a),V_a,T_a)))),
% 43.85/5.88 inference(miniscoping,[status(esa)],[f231])).
% 43.85/5.88 fof(f1042,plain,(
% 43.85/5.88 ![X0,X1]: (~class_Ring__and__Field_Ocomm__semiring__1(X0)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f1041])).
% 43.85/5.88 fof(f1055,plain,(
% 43.85/5.88 ![X0,X1]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X1,X0,tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f239])).
% 43.85/5.88 fof(f1056,plain,(
% 43.85/5.88 ![X0,X1]: (c_HOL_Oord__class_Oless(X0,X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f240])).
% 43.85/5.88 fof(f1094,plain,(
% 43.85/5.88 ![V_b]: ((![V_a]: c_lessequals(c_GCD_Ogcd__class_Ogcd(V_a,V_b,tc_nat),V_b,tc_nat))|V_b=c_HOL_Ozero__class_Ozero(tc_nat))),
% 43.85/5.88 inference(miniscoping,[status(esa)],[f264])).
% 43.85/5.88 fof(f1095,plain,(
% 43.85/5.88 ![X0,X1]: (c_lessequals(c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat),X1,tc_nat)|X1=c_HOL_Ozero__class_Ozero(tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f1094])).
% 43.85/5.88 fof(f1126,plain,(
% 43.85/5.88 ![V_b,V_c]: ((![T_a]: (~class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)|(![V_a]: ~c_HOL_Oplus__class_Oplus(V_a,V_b,T_a)=c_HOL_Oplus__class_Oplus(V_a,V_c,T_a))))|V_b=V_c)),
% 43.85/5.88 inference(miniscoping,[status(esa)],[f282])).
% 43.85/5.88 fof(f1127,plain,(
% 43.85/5.88 ![X0,X1,X2,X3]: (~class_OrderedGroup_Ocancel__ab__semigroup__add(X0)|~c_HOL_Oplus__class_Oplus(X1,X2,X0)=c_HOL_Oplus__class_Oplus(X1,X3,X0)|X2=X3)),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f1126])).
% 43.85/5.88 fof(f1141,plain,(
% 43.85/5.88 ![X0,X1]: (c_HOL_Oplus__class_Oplus(c_Suc(X0),X1,tc_nat)=c_HOL_Oplus__class_Oplus(X0,c_Suc(X1),tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f292])).
% 43.85/5.88 fof(f1156,plain,(
% 43.85/5.88 ![X0]: (~c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f301])).
% 43.85/5.88 fof(f1168,plain,(
% 43.85/5.88 ![X0,X1]: (c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)|~c_lessequals(X0,X1,tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f311])).
% 43.85/5.88 fof(f1169,plain,(
% 43.85/5.88 ![X0,X1]: (c_lessequals(X0,X1,tc_nat)|~c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f312])).
% 43.85/5.88 fof(f1176,plain,(
% 43.85/5.88 ![X0]: (c_GCD_Ogcd__class_Ogcd(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=X0)),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f319])).
% 43.85/5.88 fof(f1188,plain,(
% 43.85/5.88 ![T_a]: (~class_Divides_Osemiring__div(T_a)|(![V_a]: c_Divides_Odiv__class_Omod(V_a,V_a,T_a)=c_HOL_Ozero__class_Ozero(T_a)))),
% 43.85/5.88 inference(miniscoping,[status(esa)],[f327])).
% 43.85/5.88 fof(f1189,plain,(
% 43.85/5.88 ![X0,X1]: (~class_Divides_Osemiring__div(X0)|c_Divides_Odiv__class_Omod(X1,X1,X0)=c_HOL_Ozero__class_Ozero(X0))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f1188])).
% 43.85/5.88 fof(f1227,plain,(
% 43.85/5.88 ![T_a]: (~class_OrderedGroup_Oab__group__add(T_a)|(![V_x]: c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)=c_HOL_Ozero__class_Ozero(T_a)))),
% 43.85/5.88 inference(miniscoping,[status(esa)],[f354])).
% 43.85/5.88 fof(f1228,plain,(
% 43.85/5.88 ![X0,X1]: (~class_OrderedGroup_Oab__group__add(X0)|c_HOL_Ominus__class_Ominus(X1,X1,X0)=c_HOL_Ozero__class_Ozero(X0))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f1227])).
% 43.85/5.88 fof(f1231,plain,(
% 43.85/5.88 ![T_a]: (~class_OrderedGroup_Ogroup__add(T_a)|(![V_a]: c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=V_a))),
% 43.85/5.88 inference(miniscoping,[status(esa)],[f356])).
% 43.85/5.88 fof(f1232,plain,(
% 43.85/5.88 ![X0,X1]: (~class_OrderedGroup_Ogroup__add(X0)|c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0)=X1)),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f1231])).
% 43.85/5.88 fof(f1237,plain,(
% 43.85/5.88 ![T_a]: (~class_OrderedGroup_Ogroup__add(T_a)|(![V_a,V_b]: c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_b,T_a)=V_a))),
% 43.85/5.88 inference(miniscoping,[status(esa)],[f359])).
% 43.85/5.88 fof(f1238,plain,(
% 43.85/5.88 ![X0,X1,X2]: (~class_OrderedGroup_Ogroup__add(X0)|c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X2,X0)=X1)),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f1237])).
% 43.85/5.88 fof(f1239,plain,(
% 43.85/5.88 ![V_a,V_b]: ((![T_a]: (~class_OrderedGroup_Oab__group__add(T_a)|~c_HOL_Ominus__class_Ominus(V_a,V_b,T_a)=c_HOL_Ozero__class_Ozero(T_a)))|V_a=V_b)),
% 43.85/5.88 inference(miniscoping,[status(esa)],[f360])).
% 43.85/5.88 fof(f1240,plain,(
% 43.85/5.88 ![X0,X1,X2]: (~class_OrderedGroup_Oab__group__add(X0)|~c_HOL_Ominus__class_Ominus(X1,X2,X0)=c_HOL_Ozero__class_Ozero(X0)|X1=X2)),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f1239])).
% 43.85/5.88 fof(f1247,plain,(
% 43.85/5.88 ![T_a]: (~class_OrderedGroup_Ogroup__add(T_a)|(![V_a,V_b]: c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a)=V_a))),
% 43.85/5.88 inference(miniscoping,[status(esa)],[f364])).
% 43.85/5.88 fof(f1248,plain,(
% 43.85/5.88 ![X0,X1,X2]: (~class_OrderedGroup_Ogroup__add(X0)|c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0)=X1)),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f1247])).
% 43.85/5.88 fof(f1251,plain,(
% 43.85/5.88 ![T_a,V_a]: ((~class_Ring__and__Field_Oring__1__no__zero__divisors(T_a)|(![V_n]: ~c_Power_Opower__class_Opower(V_a,V_n,T_a)=c_HOL_Ozero__class_Ozero(T_a)))|V_a=c_HOL_Ozero__class_Ozero(T_a))),
% 43.85/5.88 inference(miniscoping,[status(esa)],[f366])).
% 43.85/5.88 fof(f1252,plain,(
% 43.85/5.88 ![X0,X1,X2]: (~class_Ring__and__Field_Oring__1__no__zero__divisors(X0)|~c_Power_Opower__class_Opower(X1,X2,X0)=c_HOL_Ozero__class_Ozero(X0)|X1=c_HOL_Ozero__class_Ozero(X0))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f1251])).
% 43.85/5.88 fof(f1262,plain,(
% 43.85/5.88 ![T_a]: (~class_Ring__and__Field_Ofield(T_a)|(![V_a]: c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)=c_HOL_Ozero__class_Ozero(T_a)))),
% 43.85/5.88 inference(miniscoping,[status(esa)],[f372])).
% 43.85/5.88 fof(f1263,plain,(
% 43.85/5.88 ![X0,X1]: (~class_Ring__and__Field_Ofield(X0)|c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0)=c_HOL_Ozero__class_Ozero(X0))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f1262])).
% 43.85/5.88 fof(f1270,plain,(
% 43.85/5.88 ![T_a]: (~class_Ring__and__Field_Ofield(T_a)|(![V_a,V_b,V_c]: c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)))),
% 43.85/5.88 inference(miniscoping,[status(esa)],[f376])).
% 43.85/5.88 fof(f1271,plain,(
% 43.85/5.88 ![X0,X1,X2,X3]: (~class_Ring__and__Field_Ofield(X0)|c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f1270])).
% 43.85/5.88 fof(f1280,plain,(
% 43.85/5.88 ![X0,X1]: (c_lessequals(X0,X1,tc_nat)|~c_HOL_Oord__class_Oless(X0,X1,tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f384])).
% 43.85/5.88 fof(f1289,plain,(
% 43.85/5.88 ![X0,X1]: (c_HOL_Oord__class_Oless(X0,X1,tc_nat)|X0=X1|~c_lessequals(X0,X1,tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f392])).
% 43.85/5.88 fof(f1298,plain,(
% 43.85/5.88 ![X0]: (X0=c_HOL_Ozero__class_Ozero(tc_nat)|~c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f398])).
% 43.85/5.88 fof(f1311,plain,(
% 43.85/5.88 ![X0]: (c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f405])).
% 43.85/5.88 fof(f1312,plain,(
% 43.85/5.88 ![X0,X1]: (c_lessequals(c_Suc(X0),X1,tc_nat)|c_lessequals(X1,X0,tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f406])).
% 43.85/5.88 fof(f1313,plain,(
% 43.85/5.88 ![X0,X1]: (~c_lessequals(X0,X1,tc_nat)|~c_lessequals(c_Suc(X1),X0,tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f407])).
% 43.85/5.88 fof(f1314,plain,(
% 43.85/5.88 ![X0,X1]: (c_lessequals(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),X0,tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f408])).
% 43.85/5.88 fof(f1320,plain,(
% 43.85/5.88 ![V_j,V_k]: ((![V_n]: c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_j,V_n,tc_nat),V_k,tc_nat))|~c_HOL_Oord__class_Oless(V_j,V_k,tc_nat))),
% 43.85/5.88 inference(miniscoping,[status(esa)],[f412])).
% 43.85/5.88 fof(f1321,plain,(
% 43.85/5.88 ![X0,X1,X2]: (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(X0,X2,tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f1320])).
% 43.85/5.88 fof(f1323,plain,(
% 43.85/5.88 ![V_n,V_m]: ((![V_l]: (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_l,V_n,tc_nat),c_HOL_Ominus__class_Ominus(V_l,V_m,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(V_m,V_l,tc_nat)))|~c_HOL_Oord__class_Oless(V_m,V_n,tc_nat))),
% 43.85/5.88 inference(miniscoping,[status(esa)],[f414])).
% 43.85/5.88 fof(f1324,plain,(
% 43.85/5.88 ![X0,X1,X2]: (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X2,X0,tc_nat)|~c_HOL_Oord__class_Oless(X2,X1,tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f1323])).
% 43.85/5.88 fof(f1325,plain,(
% 43.85/5.88 ![X0,X1,X2]: (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(X1,X2,tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f415])).
% 43.85/5.88 fof(f1326,plain,(
% 43.85/5.88 ![X0,X1,X2]: (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(X0,X2,tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f416])).
% 43.85/5.88 fof(f1328,plain,(
% 43.85/5.88 ![X0,X1]: (~c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|X1=X0)),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f418])).
% 43.85/5.88 fof(f1329,plain,(
% 43.85/5.88 ![V_k,V_m]: ((![V_n]: (c_Ring__and__Field_Odvd__class_Odvd(V_k,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,tc_nat)))|~c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,tc_nat))),
% 43.85/5.88 inference(miniscoping,[status(esa)],[f419])).
% 43.85/5.88 fof(f1330,plain,(
% 43.85/5.88 ![X0,X1,X2]: (c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f1329])).
% 43.85/5.88 fof(f1331,plain,(
% 43.85/5.88 ![X0]: (c_HOL_Ominus__class_Ominus(X0,X0,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f420])).
% 43.85/5.88 fof(f1332,plain,(
% 43.85/5.88 ![X0]: (c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=X0)),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f421])).
% 43.85/5.88 fof(f1333,plain,(
% 43.85/5.88 ![X0,X1,X2]: (c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)=c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f422])).
% 43.85/5.88 fof(f1334,plain,(
% 43.85/5.88 ![X0]: (c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f423])).
% 43.85/5.88 fof(f1335,plain,(
% 43.85/5.88 ![X0,X1]: (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X0,tc_nat)=X1)),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f424])).
% 43.85/5.88 fof(f1336,plain,(
% 43.85/5.88 ![X0,X1]: (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X1,tc_nat)=X0)),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f425])).
% 43.85/5.88 fof(f1337,plain,(
% 43.85/5.88 ~class_Ring__and__Field_Ofield(t_a)|~v_a=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f426])).
% 43.85/5.88 fof(f1338,plain,(
% 43.85/5.88 ![X0]: (~class_Ring__and__Field_Oordered__semidom(X0)|~c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f427])).
% 43.85/5.88 fof(f1380,plain,(
% 43.85/5.88 ![T_a]: (~class_Divides_Osemiring__div(T_a)|(![V_a]: c_Divides_Odiv__class_Omod(V_a,c_HOL_Oone__class_Oone(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a)))),
% 43.85/5.88 inference(miniscoping,[status(esa)],[f457])).
% 43.85/5.88 fof(f1381,plain,(
% 43.85/5.88 ![X0,X1]: (~class_Divides_Osemiring__div(X0)|c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(X0),X0)=c_HOL_Ozero__class_Ozero(X0))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f1380])).
% 43.85/5.88 fof(f1387,plain,(
% 43.85/5.88 ![X0]: (~c_HOL_Oord__class_Oless(X0,X0,tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f462])).
% 43.85/5.88 fof(f1412,plain,(
% 43.85/5.88 ![X0]: (~class_Ring__and__Field_Oordered__semidom(X0)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f480])).
% 43.85/5.88 fof(f1417,plain,(
% 43.85/5.88 ![X0,X1]: (~class_Ring__and__Field_Odivision__ring(X0)|~c_HOL_Oinverse__class_Oinverse(X1,X0)=c_HOL_Ozero__class_Ozero(X0)|X1=c_HOL_Ozero__class_Ozero(X0))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f484])).
% 43.85/5.88 fof(f1425,plain,(
% 43.85/5.88 ![X0,X1]: (~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X1,tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f491])).
% 43.85/5.88 fof(f1426,plain,(
% 43.85/5.88 ![X0,X1]: (~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X0,tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f492])).
% 43.85/5.88 fof(f1427,plain,(
% 43.85/5.88 ![X0,X1,X2]: (c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f493])).
% 43.85/5.88 fof(f1428,plain,(
% 43.85/5.88 ![X0,X1,X2]: (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f494])).
% 43.85/5.88 fof(f1429,plain,(
% 43.85/5.88 ![X0,X1]: (c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat)=X1|~c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f495])).
% 43.85/5.88 fof(f1430,plain,(
% 43.85/5.88 ![X0,X1]: (c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat)=X0|~c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f496])).
% 43.85/5.88 fof(f1431,plain,(
% 43.85/5.88 ![X0,X1]: (~c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat)=X0|c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f497])).
% 43.85/5.88 fof(f1471,plain,(
% 43.85/5.88 ![V_n]: ((![V_m]: (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)))|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat))),
% 43.85/5.88 inference(miniscoping,[status(esa)],[f521])).
% 43.85/5.88 fof(f1472,plain,(
% 43.85/5.88 ![X0,X1]: (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f1471])).
% 43.85/5.88 fof(f1473,plain,(
% 43.85/5.88 ![X0,X1]: (c_HOL_Oplus__class_Oplus(X0,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat)=X1|c_HOL_Oord__class_Oless(X1,X0,tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f522])).
% 43.85/5.88 fof(f1522,plain,(
% 43.85/5.88 ![T_a]: (~class_Ring__and__Field_Ocomm__semiring__1(T_a)|(![V_x]: c_Power_Opower__class_Opower(V_x,c_HOL_Ozero__class_Ozero(tc_nat),T_a)=c_HOL_Oone__class_Oone(T_a)))),
% 43.85/5.88 inference(miniscoping,[status(esa)],[f552])).
% 43.85/5.88 fof(f1523,plain,(
% 43.85/5.88 ![X0,X1]: (~class_Ring__and__Field_Ocomm__semiring__1(X0)|c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0)=c_HOL_Oone__class_Oone(X0))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f1522])).
% 43.85/5.88 fof(f1528,plain,(
% 43.85/5.88 ![V_a,V_b]: ((![T_a]: ((~class_Ring__and__Field_Ofield(T_a)|~c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)=c_HOL_Oone__class_Oone(T_a))|V_b=c_HOL_Ozero__class_Ozero(T_a)))|V_a=V_b)),
% 43.85/5.88 inference(miniscoping,[status(esa)],[f555])).
% 43.85/5.88 fof(f1529,plain,(
% 43.85/5.88 ![X0,X1,X2]: (~class_Ring__and__Field_Ofield(X0)|~c_HOL_Oinverse__class_Odivide(X1,X2,X0)=c_HOL_Oone__class_Oone(X0)|X2=c_HOL_Ozero__class_Ozero(X0)|X1=X2)),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f1528])).
% 43.85/5.88 fof(f1530,plain,(
% 43.85/5.88 ![T_a]: (~class_Ring__and__Field_Ofield(T_a)|(![V_a]: c_HOL_Oinverse__class_Oinverse(V_a,T_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_a,T_a)))),
% 43.85/5.88 inference(miniscoping,[status(esa)],[f556])).
% 43.85/5.88 fof(f1531,plain,(
% 43.85/5.88 ![X0,X1]: (~class_Ring__and__Field_Ofield(X0)|c_HOL_Oinverse__class_Oinverse(X1,X0)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f1530])).
% 43.85/5.88 fof(f1534,plain,(
% 43.85/5.88 ![X0,X1]: (~class_Ring__and__Field_Ofield(X0)|X1=c_HOL_Ozero__class_Ozero(X0)|c_HOL_Oinverse__class_Odivide(X1,X1,X0)=c_HOL_Oone__class_Oone(X0))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f558])).
% 43.85/5.88 fof(f1542,plain,(
% 43.85/5.88 ![T_a,V_b]: ((~class_Ring__and__Field_Ofield(T_a)|(![V_a,V_n]: c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),V_n,T_a)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a)))|V_b=c_HOL_Ozero__class_Ozero(T_a))),
% 43.85/5.88 inference(miniscoping,[status(esa)],[f564])).
% 43.85/5.88 fof(f1543,plain,(
% 43.85/5.88 ![X0,X1,X2,X3]: (~class_Ring__and__Field_Ofield(X0)|c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X3,X0),c_Power_Opower__class_Opower(X2,X3,X0),X0)|X2=c_HOL_Ozero__class_Ozero(X0))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f1542])).
% 43.85/5.88 fof(f1550,plain,(
% 43.85/5.88 ![T_a,V_a]: ((![V_n,V_m]: ((~class_Ring__and__Field_Ofield(T_a)|c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat),T_a)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(V_a,V_m,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a))|~c_lessequals(V_m,V_n,tc_nat)))|V_a=c_HOL_Ozero__class_Ozero(T_a))),
% 43.85/5.88 inference(miniscoping,[status(esa)],[f568])).
% 43.85/5.88 fof(f1551,plain,(
% 43.85/5.88 ![X0,X1,X2,X3]: (~class_Ring__and__Field_Ofield(X0)|c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),X0)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X3,X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)|~c_lessequals(X3,X2,tc_nat)|X1=c_HOL_Ozero__class_Ozero(X0))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f1550])).
% 43.85/5.88 fof(f1554,plain,(
% 43.85/5.88 ![V_m,V_k]: ((![V_n]: ((c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(V_m,V_n,tc_nat))|~c_lessequals(V_k,V_n,tc_nat)))|~c_lessequals(V_k,V_m,tc_nat))),
% 43.85/5.88 inference(miniscoping,[status(esa)],[f570])).
% 43.85/5.88 fof(f1555,plain,(
% 43.85/5.88 ![X0,X1,X2]: (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X0,X2,tc_nat)|~c_lessequals(X1,X2,tc_nat)|~c_lessequals(X1,X0,tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f1554])).
% 43.85/5.88 fof(f1567,plain,(
% 43.85/5.88 ![X0,X1,X2]: (c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)|~c_lessequals(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f579])).
% 43.85/5.88 fof(f1568,plain,(
% 43.85/5.88 ![X0,X1,X2]: (c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)|~c_lessequals(X2,X1,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f580])).
% 43.85/5.88 fof(f1569,plain,(
% 43.85/5.88 ![X0,X1,X2]: (c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)|~c_lessequals(X1,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f581])).
% 43.85/5.88 fof(f1570,plain,(
% 43.85/5.88 ![X0,X1]: (~c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_lessequals(X0,X1,tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f582])).
% 43.85/5.88 fof(f1571,plain,(
% 43.85/5.88 ![X0,X1]: (c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~c_lessequals(X0,X1,tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f583])).
% 43.85/5.88 fof(f1602,plain,(
% 43.85/5.88 ![T_a,V_a]: ((![V_m,V_n]: ((~class_Ring__and__Field_Ofield(T_a)|c_Power_Opower__class_Opower(V_a,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),T_a)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(V_a,V_m,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a))|~c_lessequals(V_n,V_m,tc_nat)))|V_a=c_HOL_Ozero__class_Ozero(T_a))),
% 43.85/5.88 inference(miniscoping,[status(esa)],[f603])).
% 43.85/5.88 fof(f1603,plain,(
% 43.85/5.88 ![X0,X1,X2,X3]: (~class_Ring__and__Field_Ofield(X0)|c_Power_Opower__class_Opower(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),X0)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)|~c_lessequals(X3,X2,tc_nat)|X1=c_HOL_Ozero__class_Ozero(X0))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f1602])).
% 43.85/5.88 fof(f1604,plain,(
% 43.85/5.88 ![X0,X1]: (c_lessequals(X0,X1,tc_nat)|c_lessequals(X1,X0,tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f604])).
% 43.85/5.88 fof(f1610,plain,(
% 43.85/5.88 ![X0]: (c_lessequals(X0,X0,tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f608])).
% 43.85/5.88 fof(f1611,plain,(
% 43.85/5.88 ![V_i,V_j]: ((![V_k]: (c_lessequals(V_i,V_k,tc_nat)|~c_lessequals(V_j,V_k,tc_nat)))|~c_lessequals(V_i,V_j,tc_nat))),
% 43.85/5.88 inference(miniscoping,[status(esa)],[f609])).
% 43.85/5.88 fof(f1612,plain,(
% 43.85/5.88 ![X0,X1,X2]: (c_lessequals(X0,X1,tc_nat)|~c_lessequals(X2,X1,tc_nat)|~c_lessequals(X0,X2,tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f1611])).
% 43.85/5.88 fof(f1620,plain,(
% 43.85/5.88 ![T_a]: (~class_OrderedGroup_Omonoid__mult(T_a)|(![V_n]: c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(T_a),V_n,T_a)=c_HOL_Oone__class_Oone(T_a)))),
% 43.85/5.88 inference(miniscoping,[status(esa)],[f614])).
% 43.85/5.88 fof(f1621,plain,(
% 43.85/5.88 ![X0,X1]: (~class_OrderedGroup_Omonoid__mult(X0)|c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0)=c_HOL_Oone__class_Oone(X0))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f1620])).
% 43.85/5.88 fof(f1624,plain,(
% 43.85/5.88 ![T_a]: (~class_Ring__and__Field_Ofield(T_a)|(![V_a]: c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Oone__class_Oone(T_a),T_a)=V_a))),
% 43.85/5.88 inference(miniscoping,[status(esa)],[f616])).
% 43.85/5.88 fof(f1625,plain,(
% 43.85/5.88 ![X0,X1]: (~class_Ring__and__Field_Ofield(X0)|c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X0),X0)=X1)),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f1624])).
% 43.85/5.88 fof(f1632,plain,(
% 43.85/5.88 ![X0,X1]: (X0=X1|~c_lessequals(X1,X0,tc_nat)|~c_lessequals(X0,X1,tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f621])).
% 43.85/5.88 fof(f1637,plain,(
% 43.85/5.88 ![T_a]: (~class_Ring__and__Field_Ofield(T_a)|(![V_a,V_b,V_c]: c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a)=c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)))),
% 43.85/5.88 inference(miniscoping,[status(esa)],[f625])).
% 43.85/5.88 fof(f1638,plain,(
% 43.85/5.88 ![X0,X1,X2,X3]: (~class_Ring__and__Field_Ofield(X0)|c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0)=c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X3,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f1637])).
% 43.85/5.88 fof(f1645,plain,(
% 43.85/5.88 ![V_m,V_k]: ((![V_n]: ((c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat)|~c_lessequals(V_m,V_n,tc_nat))|~c_lessequals(V_k,V_n,tc_nat)))|~c_lessequals(V_k,V_m,tc_nat))),
% 43.85/5.88 inference(miniscoping,[status(esa)],[f629])).
% 43.85/5.88 fof(f1646,plain,(
% 43.85/5.88 ![X0,X1,X2]: (c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)|~c_lessequals(X0,X2,tc_nat)|~c_lessequals(X1,X2,tc_nat)|~c_lessequals(X1,X0,tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f1645])).
% 43.85/5.88 fof(f1657,plain,(
% 43.85/5.88 ![X0,X1]: (c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f635])).
% 43.85/5.88 fof(f1658,plain,(
% 43.85/5.88 ![X0,X1,X2]: (c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f636])).
% 43.85/5.88 fof(f1661,plain,(
% 43.85/5.88 class_Ring__and__Field_Ofield(t_a)),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f638])).
% 43.85/5.88 fof(f1662,plain,(
% 43.85/5.88 ~c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a)|c_lessequals(v_n,v_m,tc_nat)),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f639])).
% 43.85/5.88 fof(f1663,plain,(
% 43.85/5.88 ~c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a)=c_Power_Opower__class_Opower(v_a,c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat),t_a)|~c_lessequals(v_n,v_m,tc_nat)),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f640])).
% 43.85/5.88 fof(f1665,plain,(
% 43.85/5.88 ![X0]: (~class_Ring__and__Field_Ofield(X0)|class_Ring__and__Field_Oring__1__no__zero__divisors(X0))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f642])).
% 43.85/5.88 fof(f1666,plain,(
% 43.85/5.88 ![X0]: (~class_Ring__and__Field_Ofield(X0)|class_OrderedGroup_Ocancel__ab__semigroup__add(X0))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f643])).
% 43.85/5.88 fof(f1669,plain,(
% 43.85/5.88 ![X0]: (~class_Ring__and__Field_Ofield(X0)|class_Ring__and__Field_Ocomm__semiring__1(X0))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f646])).
% 43.85/5.88 fof(f1671,plain,(
% 43.85/5.88 ![X0]: (~class_Ring__and__Field_Ofield(X0)|class_Ring__and__Field_Odivision__ring(X0))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f648])).
% 43.85/5.88 fof(f1672,plain,(
% 43.85/5.88 ![X0]: (~class_Ring__and__Field_Ofield(X0)|class_OrderedGroup_Ocomm__monoid__add(X0))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f649])).
% 43.85/5.88 fof(f1676,plain,(
% 43.85/5.88 ![X0]: (~class_Ring__and__Field_Ofield(X0)|class_Ring__and__Field_Osemiring__0(X0))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f653])).
% 43.85/5.88 fof(f1677,plain,(
% 43.85/5.88 ![X0]: (~class_Ring__and__Field_Ofield(X0)|class_OrderedGroup_Oab__group__add(X0))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f654])).
% 43.85/5.88 fof(f1679,plain,(
% 43.85/5.88 ![X0]: (~class_Ring__and__Field_Ofield(X0)|class_OrderedGroup_Omonoid__mult(X0))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f656])).
% 43.85/5.88 fof(f1681,plain,(
% 43.85/5.88 ![X0]: (~class_Ring__and__Field_Ofield(X0)|class_OrderedGroup_Ogroup__add(X0))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f658])).
% 43.85/5.88 fof(f1684,plain,(
% 43.85/5.88 ![X0]: (~class_Ring__and__Field_Ofield(X0)|class_Power_Opower(X0))),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f661])).
% 43.85/5.88 fof(f1686,plain,(
% 43.85/5.88 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat)),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f663])).
% 43.85/5.88 fof(f1688,plain,(
% 43.85/5.88 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat)),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f665])).
% 43.85/5.88 fof(f1691,plain,(
% 43.85/5.88 class_Ring__and__Field_Ono__zero__divisors(tc_nat)),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f668])).
% 43.85/5.88 fof(f1692,plain,(
% 43.85/5.88 class_Ring__and__Field_Oordered__semidom(tc_nat)),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f669])).
% 43.85/5.88 fof(f1693,plain,(
% 43.85/5.88 class_Ring__and__Field_Ocomm__semiring__1(tc_nat)),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f670])).
% 43.85/5.88 fof(f1695,plain,(
% 43.85/5.88 class_OrderedGroup_Ocomm__monoid__add(tc_nat)),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f672])).
% 43.85/5.88 fof(f1696,plain,(
% 43.85/5.88 class_Ring__and__Field_Ozero__neq__one(tc_nat)),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f673])).
% 43.85/5.88 fof(f1698,plain,(
% 43.85/5.88 class_Ring__and__Field_Osemiring__0(tc_nat)),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f675])).
% 43.85/5.88 fof(f1699,plain,(
% 43.85/5.88 class_Ring__and__Field_Omult__zero(tc_nat)),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f676])).
% 43.85/5.88 fof(f1702,plain,(
% 43.85/5.88 class_Divides_Osemiring__div(tc_nat)),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f679])).
% 43.85/5.88 fof(f1703,plain,(
% 43.85/5.88 class_Nat_Osemiring__char__0(tc_nat)),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f680])).
% 43.85/5.88 fof(f1705,plain,(
% 43.85/5.88 class_Orderings_Olinorder(tc_nat)),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f682])).
% 43.85/5.88 fof(f1707,plain,(
% 43.85/5.88 class_Power_Opower(tc_nat)),
% 43.85/5.88 inference(cnf_transformation,[status(esa)],[f684])).
% 43.85/5.88 fof(f1708,plain,(
% 43.85/5.88 spl0_0 <=> class_Ring__and__Field_Ofield(t_a)),
% 43.85/5.88 introduced(split_symbol_definition)).
% 43.85/5.88 fof(f1710,plain,(
% 43.85/5.88 ~class_Ring__and__Field_Ofield(t_a)|spl0_0),
% 43.85/5.88 inference(component_clause,[status(thm)],[f1708])).
% 43.85/5.88 fof(f1711,plain,(
% 43.85/5.88 spl0_1 <=> v_a=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.88 introduced(split_symbol_definition)).
% 43.85/5.88 fof(f1713,plain,(
% 43.85/5.88 ~v_a=c_HOL_Ozero__class_Ozero(t_a)|spl0_1),
% 43.85/5.88 inference(component_clause,[status(thm)],[f1711])).
% 43.85/5.88 fof(f1714,plain,(
% 43.85/5.88 ~spl0_0|~spl0_1),
% 43.85/5.88 inference(split_clause,[status(thm)],[f1337,f1708,f1711])).
% 43.85/5.88 fof(f1715,plain,(
% 43.85/5.88 spl0_2 <=> c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a)),
% 43.85/5.88 introduced(split_symbol_definition)).
% 43.85/5.88 fof(f1717,plain,(
% 43.85/5.88 ~c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a)|spl0_2),
% 43.85/5.88 inference(component_clause,[status(thm)],[f1715])).
% 43.85/5.88 fof(f1718,plain,(
% 43.85/5.88 spl0_3 <=> c_lessequals(v_n,v_m,tc_nat)),
% 43.85/5.88 introduced(split_symbol_definition)).
% 43.85/5.88 fof(f1719,plain,(
% 43.85/5.88 c_lessequals(v_n,v_m,tc_nat)|~spl0_3),
% 43.85/5.88 inference(component_clause,[status(thm)],[f1718])).
% 43.85/5.88 fof(f1721,plain,(
% 43.85/5.88 ~spl0_2|spl0_3),
% 43.85/5.88 inference(split_clause,[status(thm)],[f1662,f1715,f1718])).
% 43.85/5.88 fof(f1722,plain,(
% 43.85/5.88 spl0_4 <=> c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a)=c_Power_Opower__class_Opower(v_a,c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat),t_a)),
% 43.85/5.88 introduced(split_symbol_definition)).
% 43.85/5.88 fof(f1724,plain,(
% 43.85/5.88 ~c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a)=c_Power_Opower__class_Opower(v_a,c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat),t_a)|spl0_4),
% 43.85/5.88 inference(component_clause,[status(thm)],[f1722])).
% 43.85/5.88 fof(f1725,plain,(
% 43.85/5.88 ~spl0_4|~spl0_3),
% 43.85/5.88 inference(split_clause,[status(thm)],[f1663,f1722,f1718])).
% 43.85/5.88 fof(f1727,plain,(
% 43.85/5.88 ![X0]: (~class_OrderedGroup_Opordered__comm__monoid__add(X0)|~c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)=c_HOL_Ozero__class_Ozero(X0))),
% 43.85/5.88 inference(duplicate_literals_removal,[status(esa)],[f752])).
% 43.85/5.88 fof(f1728,plain,(
% 43.85/5.88 ![X0]: (c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(t_a),t_a)=X0)),
% 43.85/5.88 inference(resolution,[status(thm)],[f1625,f1661])).
% 43.85/5.88 fof(f1732,plain,(
% 43.85/5.88 ![X0]: (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)=X0)),
% 43.85/5.88 inference(paramodulation,[status(thm)],[f1332,f1335])).
% 43.85/5.88 fof(f1734,plain,(
% 43.85/5.88 ![X0,X1]: (c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),tc_nat))),
% 43.85/5.88 inference(paramodulation,[status(thm)],[f1335,f1657])).
% 43.85/5.88 fof(f1739,plain,(
% 43.85/5.88 $false|spl0_0),
% 43.85/5.88 inference(forward_subsumption_resolution,[status(thm)],[f1710,f1661])).
% 43.85/5.88 fof(f1740,plain,(
% 43.85/5.88 spl0_0),
% 43.85/5.88 inference(contradiction_clause,[status(thm)],[f1739])).
% 43.85/5.88 fof(f1742,plain,(
% 43.85/5.88 ![X0]: (c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=X0)),
% 43.85/5.88 inference(paramodulation,[status(thm)],[f1332,f1336])).
% 43.85/5.88 fof(f1745,plain,(
% 43.85/5.88 ![X0,X1]: (c_lessequals(X0,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat))),
% 43.85/5.88 inference(paramodulation,[status(thm)],[f1336,f1657])).
% 43.85/5.88 fof(f1752,plain,(
% 43.85/5.88 ![X0]: (c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),X0,t_a)=c_HOL_Ozero__class_Ozero(t_a))),
% 43.85/5.88 inference(resolution,[status(thm)],[f1263,f1661])).
% 43.85/5.88 fof(f1757,plain,(
% 43.85/5.88 ![X0]: (X0=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))),
% 43.85/5.88 inference(resolution,[status(thm)],[f1298,f1280])).
% 43.85/5.88 fof(f1758,plain,(
% 43.85/5.88 ![X0]: (c_HOL_Oinverse__class_Oinverse(X0,t_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),X0,t_a))),
% 43.85/5.88 inference(resolution,[status(thm)],[f1531,f1661])).
% 43.85/5.88 fof(f1759,plain,(
% 43.85/5.88 ~c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a)|spl0_2),
% 43.85/5.88 inference(backward_demodulation,[status(thm)],[f1758,f1717])).
% 43.85/5.88 fof(f1766,plain,(
% 43.85/5.88 ![X0,X1]: (X0=X1|~c_lessequals(X0,X1,tc_nat)|~c_HOL_Oord__class_Oless(X1,X0,tc_nat))),
% 43.85/5.88 inference(resolution,[status(thm)],[f1632,f1280])).
% 43.85/5.88 fof(f1767,plain,(
% 43.85/5.88 ![X0]: (X0=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),tc_nat))),
% 43.85/5.88 inference(resolution,[status(thm)],[f1757,f1056])).
% 43.85/5.88 fof(f1768,plain,(
% 43.85/5.88 ![X0]: (X0=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))),
% 43.85/5.88 inference(forward_demodulation,[status(thm)],[f1334,f1767])).
% 43.85/5.88 fof(f1774,plain,(
% 43.85/5.88 ![X0]: (X0=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oinverse__class_Odivide(X0,X0,t_a)=c_HOL_Oone__class_Oone(t_a))),
% 43.85/5.88 inference(resolution,[status(thm)],[f1534,f1661])).
% 43.85/5.88 fof(f1775,plain,(
% 43.85/5.88 spl0_5 <=> c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.88 introduced(split_symbol_definition)).
% 43.85/5.88 fof(f1776,plain,(
% 43.85/5.88 c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_5),
% 43.85/5.88 inference(component_clause,[status(thm)],[f1775])).
% 43.85/5.88 fof(f1777,plain,(
% 43.85/5.88 ~c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|spl0_5),
% 43.85/5.88 inference(component_clause,[status(thm)],[f1775])).
% 43.85/5.88 fof(f1778,plain,(
% 43.85/5.88 spl0_6 <=> c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oone__class_Oone(t_a)),
% 43.85/5.88 introduced(split_symbol_definition)).
% 43.85/5.88 fof(f1779,plain,(
% 43.85/5.88 c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oone__class_Oone(t_a)|~spl0_6),
% 43.85/5.88 inference(component_clause,[status(thm)],[f1778])).
% 43.85/5.88 fof(f1781,plain,(
% 43.85/5.88 c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oone__class_Oone(t_a)),
% 43.85/5.88 inference(paramodulation,[status(thm)],[f1758,f1774])).
% 43.85/5.88 fof(f1782,plain,(
% 43.85/5.88 spl0_5|spl0_6),
% 43.85/5.88 inference(split_clause,[status(thm)],[f1781,f1775,f1778])).
% 43.85/5.88 fof(f1783,plain,(
% 43.85/5.88 spl0_7 <=> c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.88 introduced(split_symbol_definition)).
% 43.85/5.88 fof(f1786,plain,(
% 43.85/5.88 c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Oone__class_Oone(t_a)),
% 43.85/5.88 inference(paramodulation,[status(thm)],[f1752,f1774])).
% 43.85/5.88 fof(f1787,plain,(
% 43.85/5.88 spl0_7|spl0_5),
% 43.85/5.88 inference(split_clause,[status(thm)],[f1786,f1783,f1775])).
% 43.85/5.88 fof(f1788,plain,(
% 43.85/5.88 spl0_8 <=> c_HOL_Oone__class_Oone(t_a)=c_HOL_Oone__class_Oone(t_a)),
% 43.85/5.88 introduced(split_symbol_definition)).
% 43.85/5.88 fof(f1791,plain,(
% 43.85/5.88 c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Oone__class_Oone(t_a)),
% 43.85/5.88 inference(paramodulation,[status(thm)],[f1728,f1774])).
% 43.85/5.88 fof(f1792,plain,(
% 43.85/5.88 spl0_5|spl0_8),
% 43.85/5.88 inference(split_clause,[status(thm)],[f1791,f1775,f1788])).
% 43.85/5.88 fof(f1816,plain,(
% 43.85/5.88 ![X0,X1]: (c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))),
% 43.85/5.88 inference(resolution,[status(thm)],[f1571,f1657])).
% 43.85/5.88 fof(f1819,plain,(
% 43.85/5.88 ![X0,X1]: (c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))),
% 43.85/5.88 inference(resolution,[status(thm)],[f1571,f1734])).
% 43.85/5.88 fof(f1821,plain,(
% 43.85/5.88 ![X0,X1]: (c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Oord__class_Oless(X0,X1,tc_nat))),
% 43.85/5.88 inference(resolution,[status(thm)],[f1571,f1280])).
% 43.85/5.88 fof(f1844,plain,(
% 43.85/5.88 ![X0,X1]: (~c_HOL_Oinverse__class_Odivide(X0,X1,t_a)=c_HOL_Oone__class_Oone(t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|X0=X1)),
% 43.85/5.88 inference(resolution,[status(thm)],[f1529,f1661])).
% 43.85/5.88 fof(f1845,plain,(
% 43.85/5.88 ![X0,X1]: (~c_HOL_Oinverse__class_Odivide(X0,X1,t_a)=c_HOL_Ozero__class_Ozero(t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|X0=X1|~spl0_5)),
% 43.85/5.88 inference(forward_demodulation,[status(thm)],[f1776,f1844])).
% 43.85/5.88 fof(f1846,plain,(
% 43.85/5.88 spl0_9 <=> X0=c_HOL_Ozero__class_Ozero(tc_nat)),
% 43.85/5.88 introduced(split_symbol_definition)).
% 43.85/5.88 fof(f1847,plain,(
% 43.85/5.88 ![X0]: (X0=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_9)),
% 43.85/5.88 inference(component_clause,[status(thm)],[f1846])).
% 43.85/5.88 fof(f1849,plain,(
% 43.85/5.88 spl0_10 <=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat)),
% 43.85/5.88 introduced(split_symbol_definition)).
% 43.85/5.88 fof(f1852,plain,(
% 43.85/5.88 ![X0]: (X0=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat))),
% 43.85/5.88 inference(resolution,[status(thm)],[f1768,f1056])).
% 43.85/5.88 fof(f1853,plain,(
% 43.85/5.88 spl0_9|~spl0_10),
% 43.85/5.88 inference(split_clause,[status(thm)],[f1852,f1846,f1849])).
% 43.85/5.88 fof(f1854,plain,(
% 43.85/5.88 spl0_11 <=> c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)),
% 43.85/5.88 introduced(split_symbol_definition)).
% 43.85/5.88 fof(f1857,plain,(
% 43.85/5.88 spl0_12 <=> c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
% 43.85/5.88 introduced(split_symbol_definition)).
% 43.85/5.88 fof(f1859,plain,(
% 43.85/5.88 ~c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)|spl0_12),
% 43.85/5.88 inference(component_clause,[status(thm)],[f1857])).
% 43.85/5.88 fof(f1860,plain,(
% 43.85/5.88 ![X0]: (X0=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))),
% 43.85/5.88 inference(resolution,[status(thm)],[f1768,f1289])).
% 43.85/5.88 fof(f1861,plain,(
% 43.85/5.88 spl0_9|spl0_11|~spl0_12),
% 43.85/5.88 inference(split_clause,[status(thm)],[f1860,f1846,f1854,f1857])).
% 43.85/5.88 fof(f1863,plain,(
% 43.85/5.88 $false|spl0_12),
% 43.85/5.88 inference(forward_subsumption_resolution,[status(thm)],[f1859,f1311])).
% 43.85/5.88 fof(f1864,plain,(
% 43.85/5.88 spl0_12),
% 43.85/5.88 inference(contradiction_clause,[status(thm)],[f1863])).
% 43.85/5.88 fof(f1888,plain,(
% 43.85/5.88 ![X0,X1]: (c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat))),
% 43.85/5.88 inference(paramodulation,[status(thm)],[f1742,f692])).
% 43.85/5.88 fof(f1889,plain,(
% 43.85/5.88 ![X0,X1]: (c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)=c_HOL_Oplus__class_Oplus(X1,X0,tc_nat))),
% 43.85/5.88 inference(forward_demodulation,[status(thm)],[f1742,f1888])).
% 43.85/5.88 fof(f1908,plain,(
% 43.85/5.89 ![X0,X1,X2]: (c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat),tc_nat))),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f692,f1745])).
% 43.85/5.89 fof(f1927,plain,(
% 43.85/5.89 ![X0]: (X0=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Ozero__class_Ozero(t_a)=X0|~spl0_5)),
% 43.85/5.89 inference(resolution,[status(thm)],[f1845,f1752])).
% 43.85/5.89 fof(f1928,plain,(
% 43.85/5.89 ![X0]: (X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_5)),
% 43.85/5.89 inference(duplicate_literals_removal,[status(esa)],[f1927])).
% 43.85/5.89 fof(f1931,plain,(
% 43.85/5.89 spl0_13 <=> X0=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Ozero__class_Ozero(t_a)=X0),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f1932,plain,(
% 43.85/5.89 ![X0]: (X0=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Ozero__class_Ozero(t_a)=X0|~spl0_13)),
% 43.85/5.89 inference(component_clause,[status(thm)],[f1931])).
% 43.85/5.89 fof(f1941,plain,(
% 43.85/5.89 spl0_15 <=> X0=c_HOL_Ozero__class_Ozero(t_a)|X0=X0|X0=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f1946,plain,(
% 43.85/5.89 ![X0]: (X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_13)),
% 43.85/5.89 inference(duplicate_literals_removal,[status(esa)],[f1932])).
% 43.85/5.89 fof(f1947,plain,(
% 43.85/5.89 $false|~spl0_5|spl0_1),
% 43.85/5.89 inference(backward_subsumption_resolution,[status(thm)],[f1713,f1928])).
% 43.85/5.89 fof(f1948,plain,(
% 43.85/5.89 ~spl0_5|spl0_1),
% 43.85/5.89 inference(contradiction_clause,[status(thm)],[f1947])).
% 43.85/5.89 fof(f1950,plain,(
% 43.85/5.89 $false|~spl0_9),
% 43.85/5.89 inference(resolution,[status(thm)],[f1847,f886])).
% 43.85/5.89 fof(f1951,plain,(
% 43.85/5.89 ~spl0_9),
% 43.85/5.89 inference(contradiction_clause,[status(thm)],[f1950])).
% 43.85/5.89 fof(f1968,plain,(
% 43.85/5.89 ![X0]: (~c_HOL_Oinverse__class_Oinverse(X0,t_a)=c_HOL_Oone__class_Oone(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oone__class_Oone(t_a)=X0)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1758,f1844])).
% 43.85/5.89 fof(f1971,plain,(
% 43.85/5.89 spl0_16 <=> ~X0=c_HOL_Oone__class_Oone(t_a)|X0=c_HOL_Oone__class_Oone(t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f1974,plain,(
% 43.85/5.89 ![X0]: (~X0=c_HOL_Oone__class_Oone(t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|X0=c_HOL_Oone__class_Oone(t_a))),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1728,f1844])).
% 43.85/5.89 fof(f1975,plain,(
% 43.85/5.89 spl0_16|spl0_5),
% 43.85/5.89 inference(split_clause,[status(thm)],[f1974,f1971,f1775])).
% 43.85/5.89 fof(f1976,plain,(
% 43.85/5.89 ![X0]: (~c_HOL_Oone__class_Oone(t_a)=c_HOL_Oone__class_Oone(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|X0=X0|X0=c_HOL_Ozero__class_Ozero(t_a))),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1774,f1844])).
% 43.85/5.89 fof(f1977,plain,(
% 43.85/5.89 ~spl0_8|spl0_15),
% 43.85/5.89 inference(split_clause,[status(thm)],[f1976,f1788,f1941])).
% 43.85/5.89 fof(f1983,plain,(
% 43.85/5.89 ![X0,X1,X2]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,t_a),X2,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,t_a),c_HOL_Oinverse__class_Odivide(X1,X2,t_a),t_a))),
% 43.85/5.89 inference(resolution,[status(thm)],[f1271,f1661])).
% 43.85/5.89 fof(f1984,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),X0,t_a),X1,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,t_a),c_HOL_Oinverse__class_Odivide(X0,X1,t_a),t_a))),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1758,f1983])).
% 43.85/5.89 fof(f1985,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),X0,t_a),X1,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oinverse__class_Odivide(X0,X1,t_a),t_a))),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1752,f1983])).
% 43.85/5.89 fof(f1988,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,t_a),X0,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(X1,X0,t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a))),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1774,f1983])).
% 43.85/5.89 fof(f1990,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(t_a),t_a),X1,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,t_a),c_HOL_Ozero__class_Ozero(t_a),t_a))),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1752,f1983])).
% 43.85/5.89 fof(f1993,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,t_a),X1,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,t_a),c_HOL_Oone__class_Oone(t_a),t_a)|X1=c_HOL_Ozero__class_Ozero(t_a))),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1774,f1983])).
% 43.85/5.89 fof(f1995,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oone__class_Oone(t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),X0,t_a),t_a),t_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),X0,t_a)=c_HOL_Ozero__class_Ozero(t_a))),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1774,f1985])).
% 43.85/5.89 fof(f1997,plain,(
% 43.85/5.89 ![X0,X1,X2]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),X1,t_a),t_a),X2,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X2,t_a),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oinverse__class_Odivide(X1,X2,t_a),t_a),t_a))),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1985,f1983])).
% 43.85/5.89 fof(f2016,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oone__class_Oone(t_a),t_a),X0,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,t_a),c_HOL_Oinverse__class_Oinverse(X0,t_a),t_a))),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1758,f1984])).
% 43.85/5.89 fof(f2032,plain,(
% 43.85/5.89 spl0_17 <=> c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(t_a),t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(t_a),t_a),t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2033,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(t_a),t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(t_a),t_a),t_a)|~spl0_17)),
% 43.85/5.89 inference(component_clause,[status(thm)],[f2032])).
% 43.85/5.89 fof(f2037,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X0,t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),X0,t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a))),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1990,f1988])).
% 43.85/5.89 fof(f2038,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X0,t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a))),
% 43.85/5.89 inference(forward_demodulation,[status(thm)],[f1752,f2037])).
% 43.85/5.89 fof(f2039,plain,(
% 43.85/5.89 spl0_18 <=> c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),X0,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(t_a),t_a),t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2042,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),X0,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(t_a),t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a))),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1728,f1988])).
% 43.85/5.89 fof(f2043,plain,(
% 43.85/5.89 spl0_18|spl0_5),
% 43.85/5.89 inference(split_clause,[status(thm)],[f2042,f2039,f1775])).
% 43.85/5.89 fof(f2044,plain,(
% 43.85/5.89 spl0_19 <=> c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,t_a),X0,t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X1,X0,t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2047,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,t_a),X0,t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X1,X0,t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a))),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1988,f1988])).
% 43.85/5.89 fof(f2048,plain,(
% 43.85/5.89 spl0_19|spl0_5),
% 43.85/5.89 inference(split_clause,[status(thm)],[f2047,f2044,f1775])).
% 43.85/5.89 fof(f2059,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X0,t_a),X0,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oone__class_Oone(t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a))),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1774,f1988])).
% 43.85/5.89 fof(f2060,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X0,t_a),X0,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oone__class_Oone(t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a))),
% 43.85/5.89 inference(duplicate_literals_removal,[status(esa)],[f2059])).
% 43.85/5.89 fof(f2071,plain,(
% 43.85/5.89 ![X0,X1]: (~c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(X0,X1,t_a),t_a)=c_HOL_Oone__class_Oone(t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oplus__class_Oplus(X1,X0,t_a)=X1|X1=c_HOL_Ozero__class_Ozero(t_a))),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1988,f1844])).
% 43.85/5.89 fof(f2072,plain,(
% 43.85/5.89 ![X0,X1]: (~c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(X0,X1,t_a),t_a)=c_HOL_Oone__class_Oone(t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oplus__class_Oplus(X1,X0,t_a)=X1)),
% 43.85/5.89 inference(duplicate_literals_removal,[status(esa)],[f2071])).
% 43.85/5.89 fof(f2085,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(X0,X0,t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oone__class_Oone(t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a))),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1988,f2060])).
% 43.85/5.89 fof(f2086,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(X0,X0,t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oone__class_Oone(t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a))),
% 43.85/5.89 inference(duplicate_literals_removal,[status(esa)],[f2085])).
% 43.85/5.89 fof(f2087,plain,(
% 43.85/5.89 spl0_22 <=> c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oone__class_Oone(t_a),t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2090,plain,(
% 43.85/5.89 c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oone__class_Oone(t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1728,f2060])).
% 43.85/5.89 fof(f2091,plain,(
% 43.85/5.89 spl0_22|spl0_5),
% 43.85/5.89 inference(split_clause,[status(thm)],[f2090,f2087,f1775])).
% 43.85/5.89 fof(f2107,plain,(
% 43.85/5.89 spl0_23 <=> c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oone__class_Oone(t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2110,plain,(
% 43.85/5.89 spl0_24 <=> X0=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oplus__class_Oplus(X0,X0,t_a)=X0|X0=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2111,plain,(
% 43.85/5.89 ![X0]: (X0=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oplus__class_Oplus(X0,X0,t_a)=X0|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_24)),
% 43.85/5.89 inference(component_clause,[status(thm)],[f2110])).
% 43.85/5.89 fof(f2113,plain,(
% 43.85/5.89 ![X0]: (~c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oone__class_Oone(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oplus__class_Oplus(X0,X0,t_a)=X0|X0=c_HOL_Ozero__class_Ozero(t_a))),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f2060,f1844])).
% 43.85/5.89 fof(f2114,plain,(
% 43.85/5.89 ~spl0_23|spl0_24),
% 43.85/5.89 inference(split_clause,[status(thm)],[f2113,f2107,f2110])).
% 43.85/5.89 fof(f2117,plain,(
% 43.85/5.89 spl0_25 <=> c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(t_a),t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2118,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(t_a),t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a)|~spl0_25)),
% 43.85/5.89 inference(component_clause,[status(thm)],[f2117])).
% 43.85/5.89 fof(f2126,plain,(
% 43.85/5.89 spl0_26 <=> c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2129,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a))),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1728,f1993])).
% 43.85/5.89 fof(f2130,plain,(
% 43.85/5.89 spl0_26|spl0_5),
% 43.85/5.89 inference(split_clause,[status(thm)],[f2129,f2126,f1775])).
% 43.85/5.89 fof(f2134,plain,(
% 43.85/5.89 spl0_27 <=> c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,t_a),X1,t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,t_a),c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2137,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,t_a),X1,t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,t_a),c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|X1=c_HOL_Ozero__class_Ozero(t_a))),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1993,f1993])).
% 43.85/5.89 fof(f2138,plain,(
% 43.85/5.89 spl0_27|spl0_5),
% 43.85/5.89 inference(split_clause,[status(thm)],[f2137,f2134,f1775])).
% 43.85/5.89 fof(f2170,plain,(
% 43.85/5.89 ![X0,X1]: (~c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oone__class_Oone(t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oplus__class_Oplus(X0,X1,t_a)=X1|X1=c_HOL_Ozero__class_Ozero(t_a))),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1993,f1844])).
% 43.85/5.89 fof(f2171,plain,(
% 43.85/5.89 ![X0,X1]: (~c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oone__class_Oone(t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oplus__class_Oplus(X0,X1,t_a)=X1)),
% 43.85/5.89 inference(duplicate_literals_removal,[status(esa)],[f2170])).
% 43.85/5.89 fof(f2182,plain,(
% 43.85/5.89 spl0_28 <=> c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a)=c_HOL_Oone__class_Oone(t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2184,plain,(
% 43.85/5.89 ~c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a)=c_HOL_Oone__class_Oone(t_a)|spl0_28),
% 43.85/5.89 inference(component_clause,[status(thm)],[f2182])).
% 43.85/5.89 fof(f2185,plain,(
% 43.85/5.89 spl0_29 <=> X0=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X0,X0,t_a),t_a)=X0|X0=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2188,plain,(
% 43.85/5.89 ![X0]: (~c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a)=c_HOL_Oone__class_Oone(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X0,X0,t_a),t_a)=X0|X0=c_HOL_Ozero__class_Ozero(t_a))),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f2060,f2072])).
% 43.85/5.89 fof(f2189,plain,(
% 43.85/5.89 ~spl0_28|spl0_29),
% 43.85/5.89 inference(split_clause,[status(thm)],[f2188,f2182,f2185])).
% 43.85/5.89 fof(f2193,plain,(
% 43.85/5.89 spl0_30 <=> c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Oone__class_Oone(t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2195,plain,(
% 43.85/5.89 ~c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Oone__class_Oone(t_a)|spl0_30),
% 43.85/5.89 inference(component_clause,[status(thm)],[f2193])).
% 43.85/5.89 fof(f2196,plain,(
% 43.85/5.89 spl0_31 <=> X0=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(t_a),t_a)=X0),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2199,plain,(
% 43.85/5.89 ![X0]: (~c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Oone__class_Oone(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(t_a),t_a)=X0)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1752,f2072])).
% 43.85/5.89 fof(f2200,plain,(
% 43.85/5.89 ~spl0_30|spl0_31),
% 43.85/5.89 inference(split_clause,[status(thm)],[f2199,f2193,f2196])).
% 43.85/5.89 fof(f2201,plain,(
% 43.85/5.89 spl0_32 <=> ~c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),X0,t_a)=c_HOL_Oone__class_Oone(t_a)|c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),X0,t_a)=c_HOL_Oone__class_Oone(t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2204,plain,(
% 43.85/5.89 ![X0]: (~c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),X0,t_a)=c_HOL_Oone__class_Oone(t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),X0,t_a)=c_HOL_Oone__class_Oone(t_a))),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1728,f2072])).
% 43.85/5.89 fof(f2205,plain,(
% 43.85/5.89 spl0_32|spl0_5),
% 43.85/5.89 inference(split_clause,[status(thm)],[f2204,f2201,f1775])).
% 43.85/5.89 fof(f2217,plain,(
% 43.85/5.89 spl0_34 <=> X0=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X0,t_a),X0,t_a)=X0|X0=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2225,plain,(
% 43.85/5.89 spl0_35 <=> c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oone__class_Oone(t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2227,plain,(
% 43.85/5.89 ~c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oone__class_Oone(t_a)|spl0_35),
% 43.85/5.89 inference(component_clause,[status(thm)],[f2225])).
% 43.85/5.89 fof(f2228,plain,(
% 43.85/5.89 spl0_36 <=> X0=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),X0,t_a)=X0),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2229,plain,(
% 43.85/5.89 ![X0]: (X0=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),X0,t_a)=X0|~spl0_36)),
% 43.85/5.89 inference(component_clause,[status(thm)],[f2228])).
% 43.85/5.89 fof(f2231,plain,(
% 43.85/5.89 ![X0]: (~c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oone__class_Oone(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),X0,t_a)=X0)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1752,f2171])).
% 43.85/5.89 fof(f2232,plain,(
% 43.85/5.89 ~spl0_35|spl0_36),
% 43.85/5.89 inference(split_clause,[status(thm)],[f2231,f2225,f2228])).
% 43.85/5.89 fof(f2233,plain,(
% 43.85/5.89 spl0_37 <=> ~c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oone__class_Oone(t_a)|c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oone__class_Oone(t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2236,plain,(
% 43.85/5.89 ![X0]: (~c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oone__class_Oone(t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oone__class_Oone(t_a))),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1728,f2171])).
% 43.85/5.89 fof(f2237,plain,(
% 43.85/5.89 spl0_37|spl0_5),
% 43.85/5.89 inference(split_clause,[status(thm)],[f2236,f2233,f1775])).
% 43.85/5.89 fof(f2240,plain,(
% 43.85/5.89 spl0_38 <=> c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2243,plain,(
% 43.85/5.89 c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1993,f2016])).
% 43.85/5.89 fof(f2244,plain,(
% 43.85/5.89 spl0_38|spl0_5),
% 43.85/5.89 inference(split_clause,[status(thm)],[f2243,f2240,f1775])).
% 43.85/5.89 fof(f2245,plain,(
% 43.85/5.89 spl0_39 <=> c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2248,plain,(
% 43.85/5.89 c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f2060,f2016])).
% 43.85/5.89 fof(f2249,plain,(
% 43.85/5.89 spl0_39|spl0_5),
% 43.85/5.89 inference(split_clause,[status(thm)],[f2248,f2245,f1775])).
% 43.85/5.89 fof(f2250,plain,(
% 43.85/5.89 spl0_40 <=> c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2253,plain,(
% 43.85/5.89 c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1988,f2016])).
% 43.85/5.89 fof(f2254,plain,(
% 43.85/5.89 spl0_40|spl0_5),
% 43.85/5.89 inference(split_clause,[status(thm)],[f2253,f2250,f1775])).
% 43.85/5.89 fof(f2284,plain,(
% 43.85/5.89 spl0_41 <=> c_HOL_Oone__class_Oone(t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a),t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2291,plain,(
% 43.85/5.89 spl0_42 <=> c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),X0,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),X0,t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2292,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),X0,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),X0,t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)|~spl0_42)),
% 43.85/5.89 inference(component_clause,[status(thm)],[f2291])).
% 43.85/5.89 fof(f2294,plain,(
% 43.85/5.89 spl0_43 <=> c_HOL_Oone__class_Oone(t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a),t_a),t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2295,plain,(
% 43.85/5.89 c_HOL_Oone__class_Oone(t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a),t_a),t_a)|~spl0_43),
% 43.85/5.89 inference(component_clause,[status(thm)],[f2294])).
% 43.85/5.89 fof(f2297,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),X0,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),X0,t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a),t_a),t_a))),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1995,f1990])).
% 43.85/5.89 fof(f2298,plain,(
% 43.85/5.89 spl0_42|spl0_43),
% 43.85/5.89 inference(split_clause,[status(thm)],[f2297,f2291,f2294])).
% 43.85/5.89 fof(f2312,plain,(
% 43.85/5.89 c_HOL_Oone__class_Oone(t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)|~spl0_43),
% 43.85/5.89 inference(forward_demodulation,[status(thm)],[f1752,f2295])).
% 43.85/5.89 fof(f2351,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oinverse__class_Odivide(X0,X0,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),X0,t_a),c_HOL_Oone__class_Oone(t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f2229,f1993])).
% 43.85/5.89 fof(f2352,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oinverse__class_Odivide(X0,X0,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.89 inference(forward_demodulation,[status(thm)],[f1752,f2351])).
% 43.85/5.89 fof(f2353,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oinverse__class_Odivide(X0,X0,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.89 inference(duplicate_literals_removal,[status(esa)],[f2352])).
% 43.85/5.89 fof(f2356,plain,(
% 43.85/5.89 spl0_49 <=> c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(t_a),t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2357,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(t_a),t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_49)),
% 43.85/5.89 inference(component_clause,[status(thm)],[f2356])).
% 43.85/5.89 fof(f2363,plain,(
% 43.85/5.89 spl0_50 <=> c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2366,plain,(
% 43.85/5.89 c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1758,f2038])).
% 43.85/5.89 fof(f2367,plain,(
% 43.85/5.89 spl0_50|spl0_5),
% 43.85/5.89 inference(split_clause,[status(thm)],[f2366,f2363,f1775])).
% 43.85/5.89 fof(f2368,plain,(
% 43.85/5.89 spl0_51 <=> c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2369,plain,(
% 43.85/5.89 c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)|~spl0_51),
% 43.85/5.89 inference(component_clause,[status(thm)],[f2368])).
% 43.85/5.89 fof(f2373,plain,(
% 43.85/5.89 spl0_52 <=> c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2376,plain,(
% 43.85/5.89 c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1728,f2038])).
% 43.85/5.89 fof(f2377,plain,(
% 43.85/5.89 spl0_52|spl0_5),
% 43.85/5.89 inference(split_clause,[status(thm)],[f2376,f2373,f1775])).
% 43.85/5.89 fof(f2396,plain,(
% 43.85/5.89 spl0_54 <=> c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oone__class_Oone(t_a),t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2399,plain,(
% 43.85/5.89 c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oone__class_Oone(t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1758,f2086])).
% 43.85/5.89 fof(f2400,plain,(
% 43.85/5.89 spl0_54|spl0_5),
% 43.85/5.89 inference(split_clause,[status(thm)],[f2399,f2396,f1775])).
% 43.85/5.89 fof(f2401,plain,(
% 43.85/5.89 spl0_55 <=> c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oone__class_Oone(t_a),t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2402,plain,(
% 43.85/5.89 c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oone__class_Oone(t_a),t_a)|~spl0_55),
% 43.85/5.89 inference(component_clause,[status(thm)],[f2401])).
% 43.85/5.89 fof(f2416,plain,(
% 43.85/5.89 spl0_56 <=> c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X0,t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2419,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X0,t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a))),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f2086,f1988])).
% 43.85/5.89 fof(f2420,plain,(
% 43.85/5.89 spl0_56|spl0_5),
% 43.85/5.89 inference(split_clause,[status(thm)],[f2419,f2416,f1775])).
% 43.85/5.89 fof(f2565,plain,(
% 43.85/5.89 class_Ring__and__Field_Ocomm__semiring__1(t_a)),
% 43.85/5.89 inference(resolution,[status(thm)],[f1669,f1661])).
% 43.85/5.89 fof(f2566,plain,(
% 43.85/5.89 ![X0,X1,X2]: (c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,t_a),X2,t_a))),
% 43.85/5.89 inference(resolution,[status(thm)],[f2565,f688])).
% 43.85/5.89 fof(f2569,plain,(
% 43.85/5.89 class_OrderedGroup_Ocomm__monoid__add(t_a)),
% 43.85/5.89 inference(resolution,[status(thm)],[f1672,f1661])).
% 43.85/5.89 fof(f2571,plain,(
% 43.85/5.89 class_OrderedGroup_Oab__group__add(t_a)),
% 43.85/5.89 inference(resolution,[status(thm)],[f1677,f1661])).
% 43.85/5.89 fof(f2572,plain,(
% 43.85/5.89 ![X0,X1,X2]: (c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,t_a),t_a)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,t_a),t_a))),
% 43.85/5.89 inference(resolution,[status(thm)],[f2571,f690])).
% 43.85/5.89 fof(f2573,plain,(
% 43.85/5.89 ![X0,X1,X2]: (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,t_a),X2,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X2,t_a),X1,t_a))),
% 43.85/5.89 inference(resolution,[status(thm)],[f698,f2565])).
% 43.85/5.89 fof(f2590,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),X0,t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)|~spl0_42)),
% 43.85/5.89 inference(forward_demodulation,[status(thm)],[f1752,f2292])).
% 43.85/5.89 fof(f2591,plain,(
% 43.85/5.89 c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)|~spl0_42),
% 43.85/5.89 inference(forward_demodulation,[status(thm)],[f1752,f2590])).
% 43.85/5.89 fof(f2607,plain,(
% 43.85/5.89 spl0_58 <=> c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2608,plain,(
% 43.85/5.89 c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a)|~spl0_58),
% 43.85/5.89 inference(component_clause,[status(thm)],[f2607])).
% 43.85/5.89 fof(f2614,plain,(
% 43.85/5.89 spl0_59 <=> c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a),t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2615,plain,(
% 43.85/5.89 c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a),t_a)|~spl0_59),
% 43.85/5.89 inference(component_clause,[status(thm)],[f2614])).
% 43.85/5.89 fof(f2621,plain,(
% 43.85/5.89 spl0_60 <=> c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2622,plain,(
% 43.85/5.89 c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a)|~spl0_60),
% 43.85/5.89 inference(component_clause,[status(thm)],[f2621])).
% 43.85/5.89 fof(f2630,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Oinverse__class_Odivide(X0,X0,t_a)=c_HOL_Oinverse__class_Odivide(X1,X1,t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f2353,f2353])).
% 43.85/5.89 fof(f2631,plain,(
% 43.85/5.89 spl0_61 <=> c_HOL_Oinverse__class_Odivide(X0,X0,t_a)=c_HOL_Oone__class_Oone(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2634,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oinverse__class_Odivide(X0,X0,t_a)=c_HOL_Oone__class_Oone(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f2229,f2353])).
% 43.85/5.89 fof(f2635,plain,(
% 43.85/5.89 spl0_61|spl0_5|~spl0_36),
% 43.85/5.89 inference(split_clause,[status(thm)],[f2634,f2631,f1775,f2228])).
% 43.85/5.89 fof(f2636,plain,(
% 43.85/5.89 spl0_62 <=> c_HOL_Oinverse__class_Odivide(X0,X0,t_a)=c_HOL_Ozero__class_Ozero(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2637,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oinverse__class_Odivide(X0,X0,t_a)=c_HOL_Ozero__class_Ozero(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_62)),
% 43.85/5.89 inference(component_clause,[status(thm)],[f2636])).
% 43.85/5.89 fof(f2639,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oinverse__class_Odivide(X0,X0,t_a)=c_HOL_Ozero__class_Ozero(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a),t_a)|~spl0_36)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1995,f2353])).
% 43.85/5.89 fof(f2640,plain,(
% 43.85/5.89 spl0_62|spl0_41|~spl0_36),
% 43.85/5.89 inference(split_clause,[status(thm)],[f2639,f2636,f2284,f2228])).
% 43.85/5.89 fof(f2647,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),X1,t_a),t_a),X1,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,t_a),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a),t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f2353,f1997])).
% 43.85/5.89 fof(f2648,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),X1,t_a),t_a),X0,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oinverse__class_Odivide(X1,X0,t_a),t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f2353,f1997])).
% 43.85/5.89 fof(f2649,plain,(
% 43.85/5.89 spl0_63 <=> c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oone__class_Oone(t_a),t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2652,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oone__class_Oone(t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f2353,f2086])).
% 43.85/5.89 fof(f2653,plain,(
% 43.85/5.89 spl0_63|spl0_13|~spl0_36),
% 43.85/5.89 inference(split_clause,[status(thm)],[f2652,f2649,f1931,f2228])).
% 43.85/5.89 fof(f2654,plain,(
% 43.85/5.89 spl0_64 <=> c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2657,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f2353,f2038])).
% 43.85/5.89 fof(f2658,plain,(
% 43.85/5.89 spl0_64|spl0_13|~spl0_36),
% 43.85/5.89 inference(split_clause,[status(thm)],[f2657,f2654,f1931,f2228])).
% 43.85/5.89 fof(f2659,plain,(
% 43.85/5.89 spl0_65 <=> c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oone__class_Oone(t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2662,plain,(
% 43.85/5.89 ![X0]: (~c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oone__class_Oone(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oplus__class_Oplus(X0,X0,t_a)=X0|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f2353,f2171])).
% 43.85/5.89 fof(f2663,plain,(
% 43.85/5.89 ~spl0_65|spl0_24|~spl0_36),
% 43.85/5.89 inference(split_clause,[status(thm)],[f2662,f2659,f2110,f2228])).
% 43.85/5.89 fof(f2664,plain,(
% 43.85/5.89 spl0_66 <=> c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a)=c_HOL_Oone__class_Oone(t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2667,plain,(
% 43.85/5.89 ![X0]: (~c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a)=c_HOL_Oone__class_Oone(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oplus__class_Oplus(X0,X0,t_a)=X0|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f2353,f2072])).
% 43.85/5.89 fof(f2668,plain,(
% 43.85/5.89 ~spl0_66|spl0_24|~spl0_36),
% 43.85/5.89 inference(split_clause,[status(thm)],[f2667,f2664,f2110,f2228])).
% 43.85/5.89 fof(f2669,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X0,t_a),X0,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f2353,f1993])).
% 43.85/5.89 fof(f2670,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X0,t_a),X0,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.89 inference(duplicate_literals_removal,[status(esa)],[f2669])).
% 43.85/5.89 fof(f2683,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X0,t_a),X1,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),X1,t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f2353,f1985])).
% 43.85/5.89 fof(f2684,plain,(
% 43.85/5.89 spl0_67 <=> c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X0,t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2687,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X0,t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f2353,f1993])).
% 43.85/5.89 fof(f2688,plain,(
% 43.85/5.89 spl0_67|spl0_5|~spl0_36),
% 43.85/5.89 inference(split_clause,[status(thm)],[f2687,f2684,f1775,f2228])).
% 43.85/5.89 fof(f2731,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),X0,t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),X0,t_a)|~spl0_42)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f2591,f2566])).
% 43.85/5.89 fof(f2753,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),X0,t_a),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),X0,t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),X0,t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),X0,t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_42)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f2731,f1993])).
% 43.85/5.89 fof(f2754,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),X0,t_a),t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),X0,t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),X0,t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_42)),
% 43.85/5.89 inference(forward_demodulation,[status(thm)],[f1985,f2753])).
% 43.85/5.89 fof(f2755,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),X0,t_a),t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),X0,t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_42)),
% 43.85/5.89 inference(forward_demodulation,[status(thm)],[f1752,f2754])).
% 43.85/5.89 fof(f2756,plain,(
% 43.85/5.89 spl0_69 <=> c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),X0,t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),X0,t_a),c_HOL_Ozero__class_Ozero(t_a),t_a),t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2757,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),X0,t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),X0,t_a),c_HOL_Ozero__class_Ozero(t_a),t_a),t_a)|~spl0_69)),
% 43.85/5.89 inference(component_clause,[status(thm)],[f2756])).
% 43.85/5.89 fof(f2761,plain,(
% 43.85/5.89 spl0_70 <=> c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),X0,t_a)=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),X0,t_a),t_a),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),X0,t_a),t_a),t_a),t_a),t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2764,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),X0,t_a)=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),X0,t_a),t_a),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),X0,t_a),t_a),t_a),t_a),t_a)|~spl0_42)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1995,f2755])).
% 43.85/5.89 fof(f2765,plain,(
% 43.85/5.89 spl0_60|spl0_70|~spl0_42),
% 43.85/5.89 inference(split_clause,[status(thm)],[f2764,f2621,f2761,f2291])).
% 43.85/5.89 fof(f2766,plain,(
% 43.85/5.89 spl0_71 <=> c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2769,plain,(
% 43.85/5.89 c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_42),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1758,f2755])).
% 43.85/5.89 fof(f2770,plain,(
% 43.85/5.89 spl0_71|spl0_60|~spl0_42),
% 43.85/5.89 inference(split_clause,[status(thm)],[f2769,f2766,f2621,f2291])).
% 43.85/5.89 fof(f2776,plain,(
% 43.85/5.89 spl0_72 <=> c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2777,plain,(
% 43.85/5.89 c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a)|~spl0_72),
% 43.85/5.89 inference(component_clause,[status(thm)],[f2776])).
% 43.85/5.89 fof(f2779,plain,(
% 43.85/5.89 spl0_73 <=> c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2782,plain,(
% 43.85/5.89 c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_42),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1752,f2755])).
% 43.85/5.89 fof(f2783,plain,(
% 43.85/5.89 spl0_72|spl0_73|~spl0_42),
% 43.85/5.89 inference(split_clause,[status(thm)],[f2782,f2776,f2779,f2291])).
% 43.85/5.89 fof(f2789,plain,(
% 43.85/5.89 spl0_74 <=> c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2790,plain,(
% 43.85/5.89 c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a)|~spl0_74),
% 43.85/5.89 inference(component_clause,[status(thm)],[f2789])).
% 43.85/5.89 fof(f2825,plain,(
% 43.85/5.89 spl0_76 <=> c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2826,plain,(
% 43.85/5.89 c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a)|~spl0_76),
% 43.85/5.89 inference(component_clause,[status(thm)],[f2825])).
% 43.85/5.89 fof(f2828,plain,(
% 43.85/5.89 c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_60),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f2622,f1993])).
% 43.85/5.89 fof(f2829,plain,(
% 43.85/5.89 spl0_76|spl0_5|~spl0_60),
% 43.85/5.89 inference(split_clause,[status(thm)],[f2828,f2825,f1775,f2621])).
% 43.85/5.89 fof(f2835,plain,(
% 43.85/5.89 c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a)|~spl0_76),
% 43.85/5.89 inference(forward_demodulation,[status(thm)],[f1752,f2826])).
% 43.85/5.89 fof(f2836,plain,(
% 43.85/5.89 c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a)|~spl0_76),
% 43.85/5.89 inference(forward_demodulation,[status(thm)],[f1752,f2835])).
% 43.85/5.89 fof(f2846,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),X0,t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),X0,t_a)|~spl0_76)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f2836,f2566])).
% 43.85/5.89 fof(f2854,plain,(
% 43.85/5.89 spl0_78 <=> c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2855,plain,(
% 43.85/5.89 c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_78),
% 43.85/5.89 inference(component_clause,[status(thm)],[f2854])).
% 43.85/5.89 fof(f2912,plain,(
% 43.85/5.89 spl0_85 <=> c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2913,plain,(
% 43.85/5.89 c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_85),
% 43.85/5.89 inference(component_clause,[status(thm)],[f2912])).
% 43.85/5.89 fof(f2966,plain,(
% 43.85/5.89 spl0_89 <=> c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oinverse__class_Oinverse(X0,t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2967,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oinverse__class_Oinverse(X0,t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_89)),
% 43.85/5.89 inference(component_clause,[status(thm)],[f2966])).
% 43.85/5.89 fof(f2977,plain,(
% 43.85/5.89 spl0_91 <=> c_HOL_Oinverse__class_Oinverse(X0,t_a)=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f2978,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oinverse__class_Oinverse(X0,t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_91)),
% 43.85/5.89 inference(component_clause,[status(thm)],[f2977])).
% 43.85/5.89 fof(f3004,plain,(
% 43.85/5.89 spl0_93 <=> c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a),t_a),t_a),c_HOL_Ozero__class_Ozero(t_a),t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f3005,plain,(
% 43.85/5.89 c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a),t_a),t_a),c_HOL_Ozero__class_Ozero(t_a),t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_93),
% 43.85/5.89 inference(component_clause,[status(thm)],[f3004])).
% 43.85/5.89 fof(f3044,plain,(
% 43.85/5.89 spl0_96 <=> c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f3045,plain,(
% 43.85/5.89 c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),t_a)|~spl0_96),
% 43.85/5.89 inference(component_clause,[status(thm)],[f3044])).
% 43.85/5.89 fof(f3126,plain,(
% 43.85/5.89 spl0_103 <=> c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),X0,t_a),t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f3127,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),X0,t_a),t_a)|~spl0_103)),
% 43.85/5.89 inference(component_clause,[status(thm)],[f3126])).
% 43.85/5.89 fof(f3156,plain,(
% 43.85/5.89 c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Oone__class_Oone(t_a)|~spl0_91|~spl0_6),
% 43.85/5.89 inference(backward_demodulation,[status(thm)],[f2978,f1779])).
% 43.85/5.89 fof(f3157,plain,(
% 43.85/5.89 spl0_5|~spl0_91|~spl0_6),
% 43.85/5.89 inference(split_clause,[status(thm)],[f3156,f1775,f2977,f1778])).
% 43.85/5.89 fof(f3194,plain,(
% 43.85/5.89 c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_103),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1774,f3127])).
% 43.85/5.89 fof(f3195,plain,(
% 43.85/5.89 spl0_60|spl0_5|~spl0_103),
% 43.85/5.89 inference(split_clause,[status(thm)],[f3194,f2621,f1775,f3126])).
% 43.85/5.89 fof(f3320,plain,(
% 43.85/5.89 spl0_116 <=> c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f3321,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)|~spl0_116)),
% 43.85/5.89 inference(component_clause,[status(thm)],[f3320])).
% 43.85/5.89 fof(f3448,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a),t_a)|~spl0_76)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f2836,f2572])).
% 43.85/5.89 fof(f3452,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(t_a),t_a),t_a)|~spl0_42)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f2591,f2572])).
% 43.85/5.89 fof(f3601,plain,(
% 43.85/5.89 ![X0,X1,X2]: (c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat))),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1326,f1657])).
% 43.85/5.89 fof(f3614,plain,(
% 43.85/5.89 spl0_121 <=> c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f3616,plain,(
% 43.85/5.89 ~c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|spl0_121),
% 43.85/5.89 inference(component_clause,[status(thm)],[f3614])).
% 43.85/5.89 fof(f3619,plain,(
% 43.85/5.89 spl0_122 <=> ~c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)=X0),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f3620,plain,(
% 43.85/5.89 ![X0,X1]: (~c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)=X0|~spl0_122)),
% 43.85/5.89 inference(component_clause,[status(thm)],[f3619])).
% 43.85/5.89 fof(f3622,plain,(
% 43.85/5.89 ![X0,X1]: (~c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)=X0)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1816,f1328])).
% 43.85/5.89 fof(f3623,plain,(
% 43.85/5.89 spl0_122|~spl0_11),
% 43.85/5.89 inference(split_clause,[status(thm)],[f3622,f3619,f1854])).
% 43.85/5.89 fof(f3624,plain,(
% 43.85/5.89 spl0_123 <=> ~c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Ozero__class_Ozero(tc_nat)=X0),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f3627,plain,(
% 43.85/5.89 ![X0]: (~c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Ozero__class_Ozero(tc_nat)=X0)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1334,f1328])).
% 43.85/5.89 fof(f3628,plain,(
% 43.85/5.89 spl0_123|~spl0_11),
% 43.85/5.89 inference(split_clause,[status(thm)],[f3627,f3624,f1854])).
% 43.85/5.89 fof(f3641,plain,(
% 43.85/5.89 spl0_124 <=> ~c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X0,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|X0=c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f3644,plain,(
% 43.85/5.89 ![X0,X1]: (~c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X0,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|X0=c_HOL_Oplus__class_Oplus(X0,X1,tc_nat))),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f713,f1328])).
% 43.85/5.89 fof(f3645,plain,(
% 43.85/5.89 spl0_124|~spl0_11),
% 43.85/5.89 inference(split_clause,[status(thm)],[f3644,f3641,f1854])).
% 43.85/5.89 fof(f3646,plain,(
% 43.85/5.89 spl0_125 <=> ~c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|X1=c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f3649,plain,(
% 43.85/5.89 ![X0,X1]: (~c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|X1=c_HOL_Oplus__class_Oplus(X0,X1,tc_nat))),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1819,f1328])).
% 43.85/5.89 fof(f3650,plain,(
% 43.85/5.89 spl0_125|~spl0_11),
% 43.85/5.89 inference(split_clause,[status(thm)],[f3649,f3646,f1854])).
% 43.85/5.89 fof(f3651,plain,(
% 43.85/5.89 spl0_126 <=> ~c_HOL_Ominus__class_Ominus(X0,X0,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|X0=X0),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f3654,plain,(
% 43.85/5.89 ![X0]: (~c_HOL_Ominus__class_Ominus(X0,X0,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|X0=X0)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1331,f1328])).
% 43.85/5.89 fof(f3655,plain,(
% 43.85/5.89 spl0_126|~spl0_11),
% 43.85/5.89 inference(split_clause,[status(thm)],[f3654,f3651,f1854])).
% 43.85/5.89 fof(f3660,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Ominus__class_Ominus(X0,c_Suc(X0),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))),
% 43.85/5.89 inference(resolution,[status(thm)],[f869,f1821])).
% 43.85/5.89 fof(f3662,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(X0),tc_nat))),
% 43.85/5.89 inference(resolution,[status(thm)],[f869,f1321])).
% 43.85/5.89 fof(f3663,plain,(
% 43.85/5.89 ![X0]: (c_Suc(X0)=X0|~c_lessequals(c_Suc(X0),X0,tc_nat))),
% 43.85/5.89 inference(resolution,[status(thm)],[f869,f1766])).
% 43.85/5.89 fof(f3664,plain,(
% 43.85/5.89 ![X0]: (~c_lessequals(c_Suc(X0),X0,tc_nat))),
% 43.85/5.89 inference(forward_subsumption_resolution,[status(thm)],[f3663,f886])).
% 43.85/5.89 fof(f3665,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(c_Suc(X0),X0,tc_nat),tc_nat))),
% 43.85/5.89 inference(resolution,[status(thm)],[f869,f1055])).
% 43.85/5.89 fof(f3680,plain,(
% 43.85/5.89 spl0_128 <=> class_Ring__and__Field_Ozero__neq__one(tc_nat)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f3682,plain,(
% 43.85/5.89 ~class_Ring__and__Field_Ozero__neq__one(tc_nat)|spl0_128),
% 43.85/5.89 inference(component_clause,[status(thm)],[f3680])).
% 43.85/5.89 fof(f3683,plain,(
% 43.85/5.89 spl0_129 <=> class_Ring__and__Field_Omult__zero(tc_nat)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f3685,plain,(
% 43.85/5.89 ~class_Ring__and__Field_Omult__zero(tc_nat)|spl0_129),
% 43.85/5.89 inference(component_clause,[status(thm)],[f3683])).
% 43.85/5.89 fof(f3686,plain,(
% 43.85/5.89 spl0_130 <=> class_Power_Opower(tc_nat)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f3688,plain,(
% 43.85/5.89 ~class_Power_Opower(tc_nat)|spl0_130),
% 43.85/5.89 inference(component_clause,[status(thm)],[f3686])).
% 43.85/5.89 fof(f3689,plain,(
% 43.85/5.89 spl0_131 <=> ~c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f3692,plain,(
% 43.85/5.89 ![X0]: (~class_Ring__and__Field_Ozero__neq__one(tc_nat)|~class_Ring__and__Field_Omult__zero(tc_nat)|~class_Power_Opower(tc_nat)|~c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))),
% 43.85/5.89 inference(resolution,[status(thm)],[f705,f1691])).
% 43.85/5.89 fof(f3693,plain,(
% 43.85/5.89 ~spl0_128|~spl0_129|~spl0_130|spl0_131),
% 43.85/5.89 inference(split_clause,[status(thm)],[f3692,f3680,f3683,f3686,f3689])).
% 43.85/5.89 fof(f3696,plain,(
% 43.85/5.89 spl0_132 <=> class_Ring__and__Field_Ono__zero__divisors(tc_nat)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f3698,plain,(
% 43.85/5.89 ~class_Ring__and__Field_Ono__zero__divisors(tc_nat)|spl0_132),
% 43.85/5.89 inference(component_clause,[status(thm)],[f3696])).
% 43.85/5.89 fof(f3707,plain,(
% 43.85/5.89 ~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|spl0_121),
% 43.85/5.89 inference(forward_demodulation,[status(thm)],[f1334,f3616])).
% 43.85/5.89 fof(f3708,plain,(
% 43.85/5.89 $false|spl0_121),
% 43.85/5.89 inference(trivial_equality_resolution,[status(esa)],[f3707])).
% 43.85/5.89 fof(f3709,plain,(
% 43.85/5.89 spl0_121),
% 43.85/5.89 inference(contradiction_clause,[status(thm)],[f3708])).
% 43.85/5.89 fof(f3714,plain,(
% 43.85/5.89 $false|spl0_129),
% 43.85/5.89 inference(forward_subsumption_resolution,[status(thm)],[f3685,f1699])).
% 43.85/5.89 fof(f3715,plain,(
% 43.85/5.89 spl0_129),
% 43.85/5.89 inference(contradiction_clause,[status(thm)],[f3714])).
% 43.85/5.89 fof(f3716,plain,(
% 43.85/5.89 $false|spl0_132),
% 43.85/5.89 inference(forward_subsumption_resolution,[status(thm)],[f3698,f1691])).
% 43.85/5.89 fof(f3717,plain,(
% 43.85/5.89 spl0_132),
% 43.85/5.89 inference(contradiction_clause,[status(thm)],[f3716])).
% 43.85/5.89 fof(f3718,plain,(
% 43.85/5.89 $false|spl0_128),
% 43.85/5.89 inference(forward_subsumption_resolution,[status(thm)],[f3682,f1696])).
% 43.85/5.89 fof(f3719,plain,(
% 43.85/5.89 spl0_128),
% 43.85/5.89 inference(contradiction_clause,[status(thm)],[f3718])).
% 43.85/5.89 fof(f3720,plain,(
% 43.85/5.89 c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a)|~spl0_76),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f2846,f3448])).
% 43.85/5.89 fof(f3721,plain,(
% 43.85/5.89 c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_76),
% 43.85/5.89 inference(forward_demodulation,[status(thm)],[f2836,f3720])).
% 43.85/5.89 fof(f3735,plain,(
% 43.85/5.89 spl0_133 <=> c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f3777,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),X0,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),X0,t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)|~spl0_76)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f3721,f1990])).
% 43.85/5.89 fof(f3778,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),X0,t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)|~spl0_76)),
% 43.85/5.89 inference(forward_demodulation,[status(thm)],[f1752,f3777])).
% 43.85/5.89 fof(f3779,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)|~spl0_76)),
% 43.85/5.89 inference(forward_demodulation,[status(thm)],[f1758,f3778])).
% 43.85/5.89 fof(f3789,plain,(
% 43.85/5.89 spl0_136 <=> c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f3790,plain,(
% 43.85/5.89 c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a)|~spl0_136),
% 43.85/5.89 inference(component_clause,[status(thm)],[f3789])).
% 43.85/5.89 fof(f3794,plain,(
% 43.85/5.89 c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a)|~spl0_136),
% 43.85/5.89 inference(forward_demodulation,[status(thm)],[f1752,f3790])).
% 43.85/5.89 fof(f3795,plain,(
% 43.85/5.89 c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)|~spl0_136),
% 43.85/5.89 inference(forward_demodulation,[status(thm)],[f1752,f3794])).
% 43.85/5.89 fof(f3814,plain,(
% 43.85/5.89 spl0_138 <=> c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f3815,plain,(
% 43.85/5.89 c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)|~spl0_138),
% 43.85/5.89 inference(component_clause,[status(thm)],[f3814])).
% 43.85/5.89 fof(f3842,plain,(
% 43.85/5.89 spl0_141 <=> c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f3843,plain,(
% 43.85/5.89 c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_141),
% 43.85/5.89 inference(component_clause,[status(thm)],[f3842])).
% 43.85/5.89 fof(f3877,plain,(
% 43.85/5.89 spl0_143 <=> c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f3880,plain,(
% 43.85/5.89 ![X0]: (~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_122)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1334,f3620])).
% 43.85/5.89 fof(f3881,plain,(
% 43.85/5.89 ~spl0_11|spl0_143|~spl0_122),
% 43.85/5.89 inference(split_clause,[status(thm)],[f3880,f1854,f3877,f3619])).
% 43.85/5.89 fof(f3886,plain,(
% 43.85/5.89 ![X0,X1,X2]: (~c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)|~spl0_122)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1326,f3620])).
% 43.85/5.89 fof(f3887,plain,(
% 43.85/5.89 ![X0,X1,X2]: (~c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Ominus__class_Ominus(X0,X2,tc_nat)=c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)|~spl0_122)),
% 43.85/5.89 inference(forward_demodulation,[status(thm)],[f1326,f3886])).
% 43.85/5.89 fof(f3888,plain,(
% 43.85/5.89 ![X0,X1,X2]: (~c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)|~spl0_122)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1325,f3620])).
% 43.85/5.89 fof(f3889,plain,(
% 43.85/5.89 ![X0,X1,X2]: (~c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)=c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)|~spl0_122)),
% 43.85/5.89 inference(forward_demodulation,[status(thm)],[f1325,f3888])).
% 43.85/5.89 fof(f3933,plain,(
% 43.85/5.89 c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a),t_a),t_a)|~spl0_42),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1995,f3452])).
% 43.85/5.89 fof(f3934,plain,(
% 43.85/5.89 spl0_133|spl0_43|~spl0_42),
% 43.85/5.89 inference(split_clause,[status(thm)],[f3933,f3735,f2294,f2291])).
% 43.85/5.89 fof(f3963,plain,(
% 43.85/5.89 spl0_144 <=> c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(t_a),t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(t_a),t_a),c_HOL_Ozero__class_Ozero(t_a),t_a),t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f3964,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(t_a),t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(t_a),t_a),c_HOL_Ozero__class_Ozero(t_a),t_a),t_a)|~spl0_144)),
% 43.85/5.89 inference(component_clause,[status(thm)],[f3963])).
% 43.85/5.89 fof(f3988,plain,(
% 43.85/5.89 spl0_145 <=> X0=c_HOL_Oone__class_Oone(t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f3989,plain,(
% 43.85/5.89 ![X0]: (X0=c_HOL_Oone__class_Oone(t_a)|~spl0_145)),
% 43.85/5.89 inference(component_clause,[status(thm)],[f3988])).
% 43.85/5.89 fof(f4022,plain,(
% 43.85/5.89 spl0_146 <=> X0=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f4023,plain,(
% 43.85/5.89 ![X0]: (X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_146)),
% 43.85/5.89 inference(component_clause,[status(thm)],[f4022])).
% 43.85/5.89 fof(f4262,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,t_a),X0,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(X1,X0,t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a))),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1774,f1983])).
% 43.85/5.89 fof(f4278,plain,(
% 43.85/5.89 ![X0,X1,X2]: (c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X2,t_a),X1,t_a))),
% 43.85/5.89 inference(forward_demodulation,[status(thm)],[f2566,f2573])).
% 43.85/5.89 fof(f4279,plain,(
% 43.85/5.89 ![X0,X1,X2]: (c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,t_a),t_a)=c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X2,X1,t_a),t_a))),
% 43.85/5.89 inference(forward_demodulation,[status(thm)],[f2566,f4278])).
% 43.85/5.89 fof(f4282,plain,(
% 43.85/5.89 ![X0,X1,X2]: (c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,t_a),t_a)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X0,t_a),t_a))),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f2572,f4279])).
% 43.85/5.89 fof(f4345,plain,(
% 43.85/5.89 ![X0]: (~c_HOL_Oord__class_Oless(c_Suc(X0),X0,tc_nat))),
% 43.85/5.89 inference(resolution,[status(thm)],[f3664,f1280])).
% 43.85/5.89 fof(f4358,plain,(
% 43.85/5.89 spl0_159 <=> ~c_HOL_Ominus__class_Ominus(c_Suc(X0),X0,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|X0=c_Suc(X0)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f4361,plain,(
% 43.85/5.89 ![X0]: (~c_HOL_Ominus__class_Ominus(c_Suc(X0),X0,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|X0=c_Suc(X0))),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f3660,f1328])).
% 43.85/5.89 fof(f4362,plain,(
% 43.85/5.89 spl0_159|~spl0_11),
% 43.85/5.89 inference(split_clause,[status(thm)],[f4361,f4358,f1854])).
% 43.85/5.89 fof(f4376,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)),tc_nat))),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1336,f3662])).
% 43.85/5.89 fof(f4377,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat)),tc_nat))),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1335,f3662])).
% 43.85/5.89 fof(f4392,plain,(
% 43.85/5.89 spl0_160 <=> c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f4393,plain,(
% 43.85/5.89 ![X0,X1]: (c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)|~spl0_160)),
% 43.85/5.89 inference(component_clause,[status(thm)],[f4392])).
% 43.85/5.89 fof(f4395,plain,(
% 43.85/5.89 spl0_161 <=> class_Ring__and__Field_Ocomm__semiring__1(tc_nat)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f4397,plain,(
% 43.85/5.89 ~class_Ring__and__Field_Ocomm__semiring__1(tc_nat)|spl0_161),
% 43.85/5.89 inference(component_clause,[status(thm)],[f4395])).
% 43.85/5.89 fof(f4398,plain,(
% 43.85/5.89 ![X0,X1]: (c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)|~class_Ring__and__Field_Ocomm__semiring__1(tc_nat))),
% 43.85/5.89 inference(resolution,[status(thm)],[f1330,f864])).
% 43.85/5.89 fof(f4399,plain,(
% 43.85/5.89 spl0_160|~spl0_161),
% 43.85/5.89 inference(split_clause,[status(thm)],[f4398,f4392,f4395])).
% 43.85/5.89 fof(f4400,plain,(
% 43.85/5.89 $false|spl0_161),
% 43.85/5.89 inference(forward_subsumption_resolution,[status(thm)],[f4397,f1693])).
% 43.85/5.89 fof(f4401,plain,(
% 43.85/5.89 spl0_161),
% 43.85/5.89 inference(contradiction_clause,[status(thm)],[f4400])).
% 43.85/5.89 fof(f4433,plain,(
% 43.85/5.89 ![X0,X1,X2]: (~c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat),tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)=c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)|~spl0_122)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1333,f3620])).
% 43.85/5.89 fof(f4434,plain,(
% 43.85/5.89 ![X0,X1,X2]: (~c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)=c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)|~spl0_122)),
% 43.85/5.89 inference(forward_demodulation,[status(thm)],[f1333,f4433])).
% 43.85/5.89 fof(f4435,plain,(
% 43.85/5.89 ![X0,X1,X2]: (~c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)|~spl0_122)),
% 43.85/5.89 inference(forward_demodulation,[status(thm)],[f1333,f4434])).
% 43.85/5.89 fof(f4455,plain,(
% 43.85/5.89 ~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Oone__class_Oone(tc_nat)),
% 43.85/5.89 inference(resolution,[status(thm)],[f1040,f1696])).
% 43.85/5.89 fof(f4508,plain,(
% 43.85/5.89 spl0_162 <=> c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(X0,X0,tc_nat),tc_nat)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f4511,plain,(
% 43.85/5.89 ![X0]: (c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(X0,X0,tc_nat),tc_nat)|~class_Ring__and__Field_Ocomm__semiring__1(tc_nat)|~spl0_160)),
% 43.85/5.89 inference(resolution,[status(thm)],[f4393,f864])).
% 43.85/5.89 fof(f4512,plain,(
% 43.85/5.89 spl0_162|~spl0_161|~spl0_160),
% 43.85/5.89 inference(split_clause,[status(thm)],[f4511,f4508,f4395,f4392])).
% 43.85/5.89 fof(f4537,plain,(
% 43.85/5.89 spl0_163 <=> c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f4540,plain,(
% 43.85/5.89 ![X0,X1]: (~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)|~spl0_122)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1334,f4435])).
% 43.85/5.89 fof(f4541,plain,(
% 43.85/5.89 ~spl0_11|spl0_163|~spl0_122),
% 43.85/5.89 inference(split_clause,[status(thm)],[f4540,f1854,f4537,f3619])).
% 43.85/5.89 fof(f4546,plain,(
% 43.85/5.89 spl0_164 <=> c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(X0,X0,tc_nat)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f4549,plain,(
% 43.85/5.89 ![X0,X1]: (~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(X0,X0,tc_nat)|~spl0_122)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f713,f4435])).
% 43.85/5.89 fof(f4550,plain,(
% 43.85/5.89 ~spl0_11|spl0_164|~spl0_122),
% 43.85/5.89 inference(split_clause,[status(thm)],[f4549,f1854,f4546,f3619])).
% 43.85/5.89 fof(f4814,plain,(
% 43.85/5.89 spl0_166 <=> c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a),t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f4815,plain,(
% 43.85/5.89 c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a),t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_166),
% 43.85/5.89 inference(component_clause,[status(thm)],[f4814])).
% 43.85/5.89 fof(f4871,plain,(
% 43.85/5.89 spl0_171 <=> X0=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oinverse__class_Odivide(X0,X0,t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f4872,plain,(
% 43.85/5.89 ![X0]: (X0=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oinverse__class_Odivide(X0,X0,t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_171)),
% 43.85/5.89 inference(component_clause,[status(thm)],[f4871])).
% 43.85/5.89 fof(f4881,plain,(
% 43.85/5.89 spl0_172 <=> c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),X0,t_a),t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f4882,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),X0,t_a),t_a)|~spl0_172)),
% 43.85/5.89 inference(component_clause,[status(thm)],[f4881])).
% 43.85/5.89 fof(f4923,plain,(
% 43.85/5.89 ![X0,X1,X2]: (c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,t_a),t_a)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X0,t_a),t_a))),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f4279,f4282])).
% 43.85/5.89 fof(f5181,plain,(
% 43.85/5.89 ![X0]: (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat))),
% 43.85/5.89 inference(resolution,[status(thm)],[f1042,f1693])).
% 43.85/5.89 fof(f5190,plain,(
% 43.85/5.89 spl0_174 <=> class_OrderedGroup_Ocomm__monoid__add(tc_nat)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f5192,plain,(
% 43.85/5.89 ~class_OrderedGroup_Ocomm__monoid__add(tc_nat)|spl0_174),
% 43.85/5.89 inference(component_clause,[status(thm)],[f5190])).
% 43.85/5.89 fof(f5193,plain,(
% 43.85/5.89 spl0_175 <=> c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X0,X2,tc_nat)|~c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f5194,plain,(
% 43.85/5.89 ![X0,X1,X2]: (c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X0,X2,tc_nat)|~c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~spl0_175)),
% 43.85/5.89 inference(component_clause,[status(thm)],[f5193])).
% 43.85/5.89 fof(f5196,plain,(
% 43.85/5.89 ![X0,X1,X2]: (~class_OrderedGroup_Ocomm__monoid__add(tc_nat)|c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X0,X2,tc_nat)|~c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))),
% 43.85/5.89 inference(resolution,[status(thm)],[f712,f1686])).
% 43.85/5.89 fof(f5197,plain,(
% 43.85/5.89 ~spl0_174|spl0_175),
% 43.85/5.89 inference(split_clause,[status(thm)],[f5196,f5190,f5193])).
% 43.85/5.89 fof(f5198,plain,(
% 43.85/5.89 $false|spl0_174),
% 43.85/5.89 inference(forward_subsumption_resolution,[status(thm)],[f5192,f1695])).
% 43.85/5.89 fof(f5199,plain,(
% 43.85/5.89 spl0_174),
% 43.85/5.89 inference(contradiction_clause,[status(thm)],[f5198])).
% 43.85/5.89 fof(f5200,plain,(
% 43.85/5.89 ![X0,X1,X2]: (c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X0,X2,tc_nat)|~spl0_175)),
% 43.85/5.89 inference(forward_subsumption_resolution,[status(thm)],[f5194,f1311])).
% 43.85/5.89 fof(f5202,plain,(
% 43.85/5.89 spl0_176 <=> c_HOL_Ozero__class_Ozero(tc_nat)=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f5203,plain,(
% 43.85/5.89 c_HOL_Ozero__class_Ozero(tc_nat)=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|~spl0_176),
% 43.85/5.89 inference(component_clause,[status(thm)],[f5202])).
% 43.85/5.89 fof(f5212,plain,(
% 43.85/5.89 spl0_178 <=> c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f5215,plain,(
% 43.85/5.89 c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Ozero__class_Ozero(tc_nat)),
% 43.85/5.89 inference(resolution,[status(thm)],[f716,f869])).
% 43.85/5.89 fof(f5216,plain,(
% 43.85/5.89 spl0_178|spl0_176),
% 43.85/5.89 inference(split_clause,[status(thm)],[f5215,f5212,f5202])).
% 43.85/5.89 fof(f5219,plain,(
% 43.85/5.89 $false|~spl0_176),
% 43.85/5.89 inference(forward_subsumption_resolution,[status(thm)],[f5203,f762])).
% 43.85/5.89 fof(f5220,plain,(
% 43.85/5.89 ~spl0_176),
% 43.85/5.89 inference(contradiction_clause,[status(thm)],[f5219])).
% 43.85/5.89 fof(f5347,plain,(
% 43.85/5.89 ![X0,X1,X2]: (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_Suc(X0),tc_nat),tc_nat)|~spl0_175)),
% 43.85/5.89 inference(resolution,[status(thm)],[f5200,f3662])).
% 43.85/5.89 fof(f5349,plain,(
% 43.85/5.89 ![X0,X1,X2]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)|~spl0_175)),
% 43.85/5.89 inference(resolution,[status(thm)],[f5200,f703])).
% 43.85/5.89 fof(f5350,plain,(
% 43.85/5.89 ![X0,X1,X2]: (c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_Suc(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat)),tc_nat),tc_nat)|~spl0_175)),
% 43.85/5.89 inference(resolution,[status(thm)],[f5200,f4377])).
% 43.85/5.89 fof(f5351,plain,(
% 43.85/5.89 ![X0,X1,X2]: (c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_Suc(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat)),tc_nat),tc_nat)|~spl0_175)),
% 43.85/5.89 inference(resolution,[status(thm)],[f5200,f4376])).
% 43.85/5.89 fof(f5352,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_Suc(X0),tc_nat),tc_nat)|~spl0_175)),
% 43.85/5.89 inference(resolution,[status(thm)],[f5200,f869])).
% 43.85/5.89 fof(f5353,plain,(
% 43.85/5.89 ![X0,X1,X2]: (c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat)|~spl0_175)),
% 43.85/5.89 inference(resolution,[status(thm)],[f5200,f1056])).
% 43.85/5.89 fof(f5354,plain,(
% 43.85/5.89 ![X0,X1,X2]: (c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)|X0=X2|~c_lessequals(X0,X2,tc_nat)|~spl0_175)),
% 43.85/5.89 inference(resolution,[status(thm)],[f5200,f1289])).
% 43.85/5.89 fof(f5356,plain,(
% 43.85/5.89 ![X0,X1,X2]: (c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_Suc(X0),tc_nat),tc_nat),tc_nat)|~spl0_175)),
% 43.85/5.89 inference(resolution,[status(thm)],[f5352,f5200])).
% 43.85/5.89 fof(f5357,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X1,c_Suc(X0),tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_175)),
% 43.85/5.89 inference(resolution,[status(thm)],[f5352,f1821])).
% 43.85/5.89 fof(f5364,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_Suc(X0),X1,tc_nat),tc_nat)|~spl0_175)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1889,f5352])).
% 43.85/5.89 fof(f5367,plain,(
% 43.85/5.89 ![X0,X1,X2]: (c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_Suc(X0),X2,tc_nat),tc_nat),tc_nat)|~spl0_175)),
% 43.85/5.89 inference(resolution,[status(thm)],[f5364,f5200])).
% 43.85/5.89 fof(f5368,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(c_Suc(X0),X1,tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_175)),
% 43.85/5.89 inference(resolution,[status(thm)],[f5364,f1821])).
% 43.85/5.89 fof(f5370,plain,(
% 43.85/5.89 ![X0,X1,X2]: (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_Suc(X0),X2,tc_nat),tc_nat)|~spl0_175)),
% 43.85/5.89 inference(resolution,[status(thm)],[f5364,f1321])).
% 43.85/5.89 fof(f5407,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat)),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_175)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1325,f5357])).
% 43.85/5.89 fof(f5428,plain,(
% 43.85/5.89 spl0_179 <=> ~c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,c_Suc(X1),tc_nat),X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|X1=c_HOL_Oplus__class_Oplus(X0,c_Suc(X1),tc_nat)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f5431,plain,(
% 43.85/5.89 ![X0,X1]: (~c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,c_Suc(X1),tc_nat),X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|X1=c_HOL_Oplus__class_Oplus(X0,c_Suc(X1),tc_nat)|~spl0_175)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f5357,f1328])).
% 43.85/5.89 fof(f5432,plain,(
% 43.85/5.89 spl0_179|~spl0_11|~spl0_175),
% 43.85/5.89 inference(split_clause,[status(thm)],[f5431,f5428,f1854,f5193])).
% 43.85/5.89 fof(f5438,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_175)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1326,f5368])).
% 43.85/5.89 fof(f5446,plain,(
% 43.85/5.89 spl0_180 <=> c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(c_Suc(X0),X1,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(X0,c_Suc(X0),tc_nat)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f5449,plain,(
% 43.85/5.89 ![X0,X1]: (~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(c_Suc(X0),X1,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(X0,c_Suc(X0),tc_nat)|~spl0_122|~spl0_175)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f5368,f4435])).
% 43.85/5.89 fof(f5450,plain,(
% 43.85/5.89 ~spl0_11|spl0_180|~spl0_122|~spl0_175),
% 43.85/5.89 inference(split_clause,[status(thm)],[f5449,f1854,f5446,f3619,f5193])).
% 43.85/5.89 fof(f5466,plain,(
% 43.85/5.89 spl0_181 <=> ~c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_Suc(X0),X1,tc_nat),X0,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|X0=c_HOL_Oplus__class_Oplus(c_Suc(X0),X1,tc_nat)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f5469,plain,(
% 43.85/5.89 ![X0,X1]: (~c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_Suc(X0),X1,tc_nat),X0,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|X0=c_HOL_Oplus__class_Oplus(c_Suc(X0),X1,tc_nat)|~spl0_175)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f5368,f1328])).
% 43.85/5.89 fof(f5470,plain,(
% 43.85/5.89 spl0_181|~spl0_11|~spl0_175),
% 43.85/5.89 inference(split_clause,[status(thm)],[f5469,f5466,f1854,f5193])).
% 43.85/5.89 fof(f5494,plain,(
% 43.85/5.89 spl0_182 <=> ~c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)),X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|X1=c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat))),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f5497,plain,(
% 43.85/5.89 ![X0,X1]: (~c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)),X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|X1=c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat))|~spl0_175)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f5407,f1328])).
% 43.85/5.89 fof(f5498,plain,(
% 43.85/5.89 spl0_182|~spl0_11|~spl0_175),
% 43.85/5.89 inference(split_clause,[status(thm)],[f5497,f5494,f1854,f5193])).
% 43.85/5.89 fof(f5501,plain,(
% 43.85/5.89 ![X0,X1,X2]: (c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_Suc(X0),tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_175)),
% 43.85/5.89 inference(resolution,[status(thm)],[f5347,f1821])).
% 43.85/5.89 fof(f5502,plain,(
% 43.85/5.89 ![X0,X1,X2]: (c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_Suc(X0),tc_nat),tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_175)),
% 43.85/5.89 inference(forward_demodulation,[status(thm)],[f1333,f5501])).
% 43.85/5.89 fof(f5510,plain,(
% 43.85/5.89 ![X0,X1,X2,X3]: (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_Suc(c_HOL_Oplus__class_Oplus(X0,X3,tc_nat)),tc_nat),tc_nat)|~spl0_175)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1326,f5347])).
% 43.85/5.89 fof(f5531,plain,(
% 43.85/5.89 ![X0,X1,X2,X3]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat),tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat),X2,tc_nat)|~spl0_175)),
% 43.85/5.89 inference(resolution,[status(thm)],[f5349,f1428])).
% 43.85/5.89 fof(f5532,plain,(
% 43.85/5.89 ![X0,X1,X2,X3]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat),tc_nat)|c_HOL_Oord__class_Oless(X3,X2,tc_nat)|~spl0_175)),
% 43.85/5.89 inference(forward_demodulation,[status(thm)],[f1732,f5531])).
% 43.85/5.89 fof(f5535,plain,(
% 43.85/5.89 ![X0,X1,X2,X3]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat)|~spl0_175)),
% 43.85/5.89 inference(resolution,[status(thm)],[f5349,f5200])).
% 43.85/5.89 fof(f5537,plain,(
% 43.85/5.89 ![X0,X1,X2,X3]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),c_HOL_Ominus__class_Ominus(X3,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)|~spl0_175)),
% 43.85/5.89 inference(resolution,[status(thm)],[f5349,f1324])).
% 43.85/5.89 fof(f5538,plain,(
% 43.85/5.89 ![X0,X1,X2,X3]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),X3,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)|~spl0_175)),
% 43.85/5.89 inference(forward_demodulation,[status(thm)],[f1332,f5537])).
% 43.85/5.89 fof(f5568,plain,(
% 43.85/5.89 spl0_184 <=> ~c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)),X0,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|X0=c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat))),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f5571,plain,(
% 43.85/5.89 ![X0,X1]: (~c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)),X0,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|X0=c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat))|~spl0_175)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f5438,f1328])).
% 43.85/5.89 fof(f5572,plain,(
% 43.85/5.89 spl0_184|~spl0_11|~spl0_175),
% 43.85/5.89 inference(split_clause,[status(thm)],[f5571,f5568,f1854,f5193])).
% 43.85/5.89 fof(f5583,plain,(
% 43.85/5.89 ![X0,X1,X2]: (c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_Suc(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat)),X2,tc_nat),tc_nat)|~spl0_175)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1889,f5350])).
% 43.85/5.89 fof(f5602,plain,(
% 43.85/5.89 ![X0,X1,X2]: (c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)),X2,tc_nat),tc_nat)|~spl0_175)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1889,f5351])).
% 43.85/5.89 fof(f5678,plain,(
% 43.85/5.89 ![X0,X1,X2,X3]: (~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat)|c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X3,X0,tc_nat),X2,tc_nat),tc_nat)|~spl0_175)),
% 43.85/5.89 inference(resolution,[status(thm)],[f5353,f1427])).
% 43.85/5.89 fof(f5699,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)|c_HOL_Ozero__class_Ozero(tc_nat)=X1|~spl0_175)),
% 43.85/5.89 inference(resolution,[status(thm)],[f5354,f1311])).
% 43.85/5.89 fof(f5707,plain,(
% 43.85/5.89 ![X0,X1,X2]: (c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)|X0=X2|c_lessequals(X2,X0,tc_nat)|~spl0_175)),
% 43.85/5.89 inference(resolution,[status(thm)],[f5354,f1604])).
% 43.85/5.89 fof(f5798,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Ominus__class_Ominus(c_Suc(X1),X1,tc_nat),tc_nat),tc_nat)|~spl0_175)),
% 43.85/5.89 inference(resolution,[status(thm)],[f3665,f5200])).
% 43.85/5.89 fof(f5842,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oplus__class_Oplus(X0,c_HOL_Ominus__class_Ominus(c_Suc(X0),X0,tc_nat),tc_nat)=c_Suc(X0))),
% 43.85/5.89 inference(resolution,[status(thm)],[f1473,f4345])).
% 43.85/5.89 fof(f5855,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(t_a),t_a)=X0)),
% 43.85/5.89 inference(resolution,[status(thm)],[f914,f2569])).
% 43.85/5.89 fof(f5857,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Oinverse__class_Oinverse(X0,t_a)|~spl0_76)),
% 43.85/5.89 inference(backward_demodulation,[status(thm)],[f5855,f3779])).
% 43.85/5.89 fof(f5858,plain,(
% 43.85/5.89 spl0_91|~spl0_76),
% 43.85/5.89 inference(split_clause,[status(thm)],[f5857,f2977,f2825])).
% 43.85/5.89 fof(f5862,plain,(
% 43.85/5.89 c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Oone__class_Oone(t_a)|~spl0_138),
% 43.85/5.89 inference(backward_demodulation,[status(thm)],[f5855,f3815])).
% 43.85/5.89 fof(f5863,plain,(
% 43.85/5.89 spl0_5|~spl0_138),
% 43.85/5.89 inference(split_clause,[status(thm)],[f5862,f1775,f3814])).
% 43.85/5.89 fof(f5883,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(t_a),t_a),t_a)=c_HOL_Oplus__class_Oplus(X1,X0,t_a))),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f5855,f2572])).
% 43.85/5.89 fof(f5884,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Oplus__class_Oplus(X0,X1,t_a)=c_HOL_Oplus__class_Oplus(X1,X0,t_a))),
% 43.85/5.89 inference(forward_demodulation,[status(thm)],[f5855,f5883])).
% 43.85/5.89 fof(f5896,plain,(
% 43.85/5.89 ~c_HOL_Oone__class_Oone(t_a)=c_HOL_Oone__class_Oone(t_a)|spl0_30),
% 43.85/5.89 inference(forward_demodulation,[status(thm)],[f5855,f2195])).
% 43.85/5.89 fof(f5897,plain,(
% 43.85/5.89 $false|spl0_30),
% 43.85/5.89 inference(trivial_equality_resolution,[status(esa)],[f5896])).
% 43.85/5.89 fof(f5898,plain,(
% 43.85/5.89 spl0_30),
% 43.85/5.89 inference(contradiction_clause,[status(thm)],[f5897])).
% 43.85/5.89 fof(f5899,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),X0,t_a)=X0)),
% 43.85/5.89 inference(resolution,[status(thm)],[f918,f2565])).
% 43.85/5.89 fof(f5960,plain,(
% 43.85/5.89 ~c_HOL_Oone__class_Oone(t_a)=c_HOL_Oone__class_Oone(t_a)|spl0_35),
% 43.85/5.89 inference(forward_demodulation,[status(thm)],[f5899,f2227])).
% 43.85/5.89 fof(f5961,plain,(
% 43.85/5.89 $false|spl0_35),
% 43.85/5.89 inference(trivial_equality_resolution,[status(esa)],[f5960])).
% 43.85/5.89 fof(f5962,plain,(
% 43.85/5.89 spl0_35),
% 43.85/5.89 inference(contradiction_clause,[status(thm)],[f5961])).
% 43.85/5.89 fof(f5990,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,t_a),X1,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,t_a),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a),t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.89 inference(forward_demodulation,[status(thm)],[f5899,f2647])).
% 43.85/5.89 fof(f5991,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,t_a),X1,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oinverse__class_Odivide(X0,X1,t_a),t_a),t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.89 inference(forward_demodulation,[status(thm)],[f4282,f5990])).
% 43.85/5.89 fof(f5992,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,t_a),X1,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oinverse__class_Odivide(X0,X1,t_a),t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.89 inference(forward_demodulation,[status(thm)],[f5899,f5991])).
% 43.85/5.89 fof(f5993,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,t_a),X1,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(X0,X1,t_a),t_a),t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.89 inference(forward_demodulation,[status(thm)],[f2566,f5992])).
% 43.85/5.89 fof(f5994,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,t_a),X1,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(X0,X1,t_a),t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.89 inference(forward_demodulation,[status(thm)],[f5899,f5993])).
% 43.85/5.89 fof(f5995,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,t_a),X0,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oinverse__class_Odivide(X1,X0,t_a),t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.89 inference(forward_demodulation,[status(thm)],[f5899,f2648])).
% 43.85/5.89 fof(f5996,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,t_a),X0,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oinverse__class_Odivide(X1,X0,t_a),t_a),t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.89 inference(forward_demodulation,[status(thm)],[f2566,f5995])).
% 43.85/5.89 fof(f5997,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,t_a),X0,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oinverse__class_Odivide(X1,X0,t_a),t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.89 inference(forward_demodulation,[status(thm)],[f5899,f5996])).
% 43.85/5.89 fof(f5998,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,t_a),X0,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.89 inference(forward_demodulation,[status(thm)],[f4282,f5997])).
% 43.85/5.89 fof(f5999,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,t_a),X0,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X0,t_a),c_HOL_Oone__class_Oone(t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.89 inference(forward_demodulation,[status(thm)],[f5899,f5998])).
% 43.85/5.89 fof(f6000,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X0,t_a),X0,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.89 inference(forward_demodulation,[status(thm)],[f2566,f2670])).
% 43.85/5.89 fof(f6001,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X0,t_a),X0,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oone__class_Oone(t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.89 inference(forward_demodulation,[status(thm)],[f5899,f6000])).
% 43.85/5.89 fof(f6009,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X0,t_a),X1,t_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),X1,t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.89 inference(forward_demodulation,[status(thm)],[f5899,f2683])).
% 43.85/5.89 fof(f6010,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X0,t_a),X1,t_a)=c_HOL_Oinverse__class_Oinverse(X1,t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.89 inference(forward_demodulation,[status(thm)],[f1758,f6009])).
% 43.85/5.89 fof(f6011,plain,(
% 43.85/5.89 $false|~spl0_13|spl0_5),
% 43.85/5.89 inference(backward_subsumption_resolution,[status(thm)],[f1777,f1946])).
% 43.85/5.89 fof(f6012,plain,(
% 43.85/5.89 ~spl0_13|spl0_5),
% 43.85/5.89 inference(contradiction_clause,[status(thm)],[f6011])).
% 43.85/5.89 fof(f6243,plain,(
% 43.85/5.89 ![X0,X1,X2]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,t_a),X2,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,t_a),c_HOL_Oinverse__class_Odivide(X0,X2,t_a),t_a))),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1983,f5884])).
% 43.85/5.89 fof(f6244,plain,(
% 43.85/5.89 ![X0,X1,X2]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,t_a),X2,t_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X0,t_a),X2,t_a))),
% 43.85/5.89 inference(forward_demodulation,[status(thm)],[f1983,f6243])).
% 43.85/5.89 fof(f6359,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,t_a),X1,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,t_a),c_HOL_Oone__class_Oone(t_a),t_a)|X1=c_HOL_Ozero__class_Ozero(t_a))),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1774,f1983])).
% 43.85/5.89 fof(f6360,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,t_a),X1,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(X0,X1,t_a),t_a)|X1=c_HOL_Ozero__class_Ozero(t_a))),
% 43.85/5.89 inference(forward_demodulation,[status(thm)],[f5884,f6359])).
% 43.85/5.89 fof(f6365,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Oord__class_Oless(X0,c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat))),tc_nat)|~spl0_175)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f5842,f5602])).
% 43.85/5.89 fof(f6366,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Oord__class_Oless(X0,c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat))),tc_nat)|~spl0_175)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f5842,f5583])).
% 43.85/5.89 fof(f6367,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(c_Suc(X0)),tc_nat)|~spl0_175)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f5842,f5370])).
% 43.85/5.89 fof(f6368,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_Suc(c_Suc(X0)),tc_nat),tc_nat)|~spl0_175)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f5842,f5367])).
% 43.85/5.89 fof(f6369,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Ominus__class_Ominus(X0,c_Suc(c_Suc(X0)),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_175)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f5842,f5368])).
% 43.85/5.89 fof(f6381,plain,(
% 43.85/5.89 ![X0,X1]: (c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(X0),tc_nat))),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f5842,f3601])).
% 43.85/5.89 fof(f6394,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oord__class_Oless(X0,c_Suc(c_Suc(X0)),tc_nat))),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f5842,f4376])).
% 43.85/5.89 fof(f6410,plain,(
% 43.85/5.89 ![X0,X1]: (c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,c_Suc(X0),tc_nat),tc_nat))),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f5842,f1908])).
% 43.85/5.89 fof(f6421,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Ominus__class_Ominus(c_Suc(X0),c_HOL_Ominus__class_Ominus(c_Suc(X0),X0,tc_nat),tc_nat)=X0)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f5842,f1336])).
% 43.85/5.89 fof(f6432,plain,(
% 43.85/5.89 ![X0]: (c_Suc(c_Suc(X0))=X0|~c_lessequals(c_Suc(c_Suc(X0)),X0,tc_nat))),
% 43.85/5.89 inference(resolution,[status(thm)],[f6394,f1766])).
% 43.85/5.89 fof(f6442,plain,(
% 43.85/5.89 ![X0,X1]: (c_lessequals(X0,c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)),tc_nat))),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1336,f6381])).
% 43.85/5.89 fof(f6443,plain,(
% 43.85/5.89 ![X0,X1]: (c_lessequals(X0,c_Suc(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat)),tc_nat))),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1335,f6381])).
% 43.85/5.89 fof(f6453,plain,(
% 43.85/5.89 ![X0,X1,X2]: (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,t_a),X2,t_a)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,X2,t_a),c_Power_Opower__class_Opower(X1,X2,t_a),t_a)|X1=c_HOL_Ozero__class_Ozero(t_a))),
% 43.85/5.89 inference(resolution,[status(thm)],[f1543,f1661])).
% 43.85/5.89 fof(f6454,plain,(
% 43.85/5.89 ![X0]: (c_Divides_Odiv__class_Omod(X0,X0,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))),
% 43.85/5.89 inference(resolution,[status(thm)],[f1189,f1702])).
% 43.85/5.89 fof(f6455,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Ominus__class_Ominus(X0,X0,t_a)=c_HOL_Ozero__class_Ozero(t_a))),
% 43.85/5.89 inference(resolution,[status(thm)],[f1228,f2571])).
% 43.85/5.89 fof(f6457,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(X1),X1)=X0|~class_Ring__and__Field_Ofield(X1))),
% 43.85/5.89 inference(resolution,[status(thm)],[f1232,f1681])).
% 43.85/5.89 fof(f6460,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),X0,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))),
% 43.85/5.89 inference(resolution,[status(thm)],[f1314,f1571])).
% 43.85/5.89 fof(f6522,plain,(
% 43.85/5.89 spl0_185 <=> c_HOL_Oinverse__class_Oinverse(X0,t_a)=c_HOL_Oinverse__class_Oinverse(X0,t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f6525,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Oinverse__class_Oinverse(X0,t_a)=c_HOL_Oinverse__class_Oinverse(X0,t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f6010,f6010])).
% 43.85/5.89 fof(f6526,plain,(
% 43.85/5.89 spl0_185|spl0_13|~spl0_36),
% 43.85/5.89 inference(split_clause,[status(thm)],[f6525,f6522,f1931,f2228])).
% 43.85/5.89 fof(f6529,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oone__class_Oone(t_a)=c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X0,t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oinverse__class_Odivide(X0,X0,t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1774,f6010])).
% 43.85/5.89 fof(f6531,plain,(
% 43.85/5.89 spl0_186 <=> c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),X0,t_a)=c_HOL_Oinverse__class_Oinverse(X0,t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f6532,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),X0,t_a)=c_HOL_Oinverse__class_Oinverse(X0,t_a)|~spl0_186)),
% 43.85/5.89 inference(component_clause,[status(thm)],[f6531])).
% 43.85/5.89 fof(f6536,plain,(
% 43.85/5.89 spl0_187 <=> c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),X0,t_a)=c_HOL_Oinverse__class_Oinverse(X0,t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f6539,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),X0,t_a)=c_HOL_Oinverse__class_Oinverse(X0,t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1758,f6010])).
% 43.85/5.89 fof(f6540,plain,(
% 43.85/5.89 spl0_187|spl0_5|~spl0_36),
% 43.85/5.89 inference(split_clause,[status(thm)],[f6539,f6536,f1775,f2228])).
% 43.85/5.89 fof(f6541,plain,(
% 43.85/5.89 spl0_188 <=> c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),X0,t_a)=c_HOL_Oinverse__class_Oinverse(X0,t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f6544,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),X0,t_a)=c_HOL_Oinverse__class_Oinverse(X0,t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1728,f6010])).
% 43.85/5.89 fof(f6545,plain,(
% 43.85/5.89 spl0_188|spl0_5|~spl0_36),
% 43.85/5.89 inference(split_clause,[status(thm)],[f6544,f6541,f1775,f2228])).
% 43.85/5.89 fof(f6551,plain,(
% 43.85/5.89 ![X0,X1]: (~c_HOL_Oinverse__class_Oinverse(X0,t_a)=c_HOL_Oone__class_Oone(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oinverse__class_Odivide(X1,X1,t_a)=X0|X1=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f6010,f1844])).
% 43.85/5.89 fof(f6563,plain,(
% 43.85/5.89 spl0_189 <=> c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oinverse__class_Odivide(X0,X0,t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f6566,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oinverse__class_Odivide(X0,X0,t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1758,f2630])).
% 43.85/5.89 fof(f6567,plain,(
% 43.85/5.89 spl0_189|spl0_5|~spl0_36),
% 43.85/5.89 inference(split_clause,[status(thm)],[f6566,f6563,f1775,f2228])).
% 43.85/5.89 fof(f6570,plain,(
% 43.85/5.89 spl0_190 <=> c_HOL_Oinverse__class_Odivide(X0,X0,t_a)=c_HOL_Oinverse__class_Odivide(X1,X1,t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f6573,plain,(
% 43.85/5.89 ![X0,X1,X2]: (c_HOL_Oinverse__class_Odivide(X0,X0,t_a)=c_HOL_Oinverse__class_Odivide(X1,X1,t_a)|X2=c_HOL_Ozero__class_Ozero(t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|X2=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f2630,f2630])).
% 43.85/5.89 fof(f6574,plain,(
% 43.85/5.89 spl0_190|spl0_13|~spl0_36),
% 43.85/5.89 inference(split_clause,[status(thm)],[f6573,f6570,f1931,f2228])).
% 43.85/5.89 fof(f6599,plain,(
% 43.85/5.89 spl0_191 <=> c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X0,t_a),X1,t_a)=c_HOL_Oinverse__class_Oinverse(X1,t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f6602,plain,(
% 43.85/5.89 ![X0,X1,X2]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X0,t_a),X1,t_a)=c_HOL_Oinverse__class_Oinverse(X1,t_a)|X2=c_HOL_Ozero__class_Ozero(t_a)|X2=c_HOL_Ozero__class_Ozero(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f2630,f6010])).
% 43.85/5.89 fof(f6603,plain,(
% 43.85/5.89 spl0_191|spl0_13|~spl0_36),
% 43.85/5.89 inference(split_clause,[status(thm)],[f6602,f6599,f1931,f2228])).
% 43.85/5.89 fof(f6606,plain,(
% 43.85/5.89 spl0_192 <=> ~c_HOL_Oinverse__class_Odivide(X0,X0,t_a)=c_HOL_Oone__class_Oone(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f6607,plain,(
% 43.85/5.89 ![X0]: (~c_HOL_Oinverse__class_Odivide(X0,X0,t_a)=c_HOL_Oone__class_Oone(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_192)),
% 43.85/5.89 inference(component_clause,[status(thm)],[f6606])).
% 43.85/5.89 fof(f6646,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)=c_HOL_Ominus__class_Ominus(X1,c_HOL_Oplus__class_Oplus(c_Suc(c_Suc(X1)),X0,tc_nat),tc_nat)|~spl0_175)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f6369,f1333])).
% 43.85/5.89 fof(f6647,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(c_Suc(c_Suc(X0)),X1,tc_nat),tc_nat)|~spl0_175)),
% 43.85/5.89 inference(forward_demodulation,[status(thm)],[f1334,f6646])).
% 43.85/5.89 fof(f6655,plain,(
% 43.85/5.89 spl0_193 <=> ~c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(X0)),X0,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|X0=c_Suc(c_Suc(X0))),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f6658,plain,(
% 43.85/5.89 ![X0]: (~c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(X0)),X0,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|X0=c_Suc(c_Suc(X0))|~spl0_175)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f6369,f1328])).
% 43.85/5.89 fof(f6659,plain,(
% 43.85/5.89 spl0_193|~spl0_11|~spl0_175),
% 43.85/5.89 inference(split_clause,[status(thm)],[f6658,f6655,f1854,f5193])).
% 43.85/5.89 fof(f6667,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Ominus__class_Ominus(X0,c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat))),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_175)),
% 43.85/5.89 inference(resolution,[status(thm)],[f6365,f1821])).
% 43.85/5.89 fof(f6674,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oord__class_Oless(X0,c_Suc(c_Suc(c_Suc(X0))),tc_nat)|~spl0_175)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f5842,f6365])).
% 43.85/5.89 fof(f6683,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_Suc(c_Suc(c_Suc(X0))),tc_nat),tc_nat)|~spl0_175)),
% 43.85/5.89 inference(resolution,[status(thm)],[f6674,f5200])).
% 43.85/5.89 fof(f6684,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Ominus__class_Ominus(X0,c_Suc(c_Suc(c_Suc(X0))),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_175)),
% 43.85/5.89 inference(resolution,[status(thm)],[f6674,f1821])).
% 43.85/5.89 fof(f6694,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Ominus__class_Ominus(X0,c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat))),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_175)),
% 43.85/5.89 inference(resolution,[status(thm)],[f6366,f1821])).
% 43.85/5.89 fof(f6711,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(c_Suc(X0)),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_175)),
% 43.85/5.89 inference(resolution,[status(thm)],[f6367,f1821])).
% 43.85/5.89 fof(f6712,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X1,c_Suc(c_Suc(X0)),tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_175)),
% 43.85/5.89 inference(forward_demodulation,[status(thm)],[f1333,f6711])).
% 43.85/5.89 fof(f6815,plain,(
% 43.85/5.89 spl0_194 <=> ~c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(c_Suc(X0))),X0,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|X0=c_Suc(c_Suc(c_Suc(X0)))),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f6818,plain,(
% 43.85/5.89 ![X0]: (~c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(c_Suc(X0))),X0,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|X0=c_Suc(c_Suc(c_Suc(X0)))|~spl0_175)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f6684,f1328])).
% 43.85/5.89 fof(f6819,plain,(
% 43.85/5.89 spl0_194|~spl0_11|~spl0_175),
% 43.85/5.89 inference(split_clause,[status(thm)],[f6818,f6815,f1854,f5193])).
% 43.85/5.89 fof(f6832,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_Suc(c_Suc(c_Suc(X0))),X1,tc_nat),tc_nat)|~spl0_175)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1889,f6683])).
% 43.85/5.89 fof(f6869,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oord__class_Oless(X0,c_Suc(c_Suc(c_Suc(c_Suc(X0)))),tc_nat)|~spl0_175)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f5842,f6832])).
% 43.85/5.89 fof(f6879,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Ominus__class_Ominus(X0,c_Suc(c_Suc(c_Suc(c_Suc(X0)))),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_175)),
% 43.85/5.89 inference(resolution,[status(thm)],[f6869,f1821])).
% 43.85/5.89 fof(f6998,plain,(
% 43.85/5.89 spl0_195 <=> ~c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_Suc(X2),tc_nat),tc_nat),X2,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|X2=c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_Suc(X2),tc_nat),tc_nat)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f7001,plain,(
% 43.85/5.89 ![X0,X1,X2]: (~c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_Suc(X2),tc_nat),tc_nat),X2,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|X2=c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_Suc(X2),tc_nat),tc_nat)|~spl0_175)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f5502,f1328])).
% 43.85/5.89 fof(f7002,plain,(
% 43.85/5.89 spl0_195|~spl0_11|~spl0_175),
% 43.85/5.89 inference(split_clause,[status(thm)],[f7001,f6998,f1854,f5193])).
% 43.85/5.89 fof(f7104,plain,(
% 43.85/5.89 ![X0,X1]: (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X0,t_a),X1,t_a)=c_HOL_Oone__class_Oone(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|c_Power_Opower__class_Opower(X0,X1,t_a)=c_HOL_Ozero__class_Ozero(t_a))),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1774,f6453])).
% 43.85/5.89 fof(f7108,plain,(
% 43.85/5.89 ![X0,X1]: (c_Power_Opower__class_Opower(X0,X1,t_a)=c_HOL_Ozero__class_Ozero(t_a)|c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X0,t_a),X1,t_a)=c_HOL_Oone__class_Oone(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a))),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f6453,f1774])).
% 43.85/5.89 fof(f7127,plain,(
% 43.85/5.89 ![X0]: (c_lessequals(X0,c_Suc(c_Suc(X0)),tc_nat))),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f5842,f6442])).
% 43.85/5.89 fof(f7157,plain,(
% 43.85/5.89 ![X0,X1,X2]: (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,t_a),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),t_a)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,X2,t_a),c_Power_Opower__class_Opower(X0,X1,t_a),t_a)|~c_lessequals(X2,X1,tc_nat)|X0=c_HOL_Ozero__class_Ozero(t_a))),
% 43.85/5.89 inference(resolution,[status(thm)],[f1551,f1661])).
% 43.85/5.89 fof(f7180,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(t_a),t_a)=X0)),
% 43.85/5.89 inference(resolution,[status(thm)],[f6457,f1661])).
% 43.85/5.89 fof(f7191,plain,(
% 43.85/5.89 ![X0,X1]: (~c_HOL_Oplus__class_Oplus(X0,c_Suc(X1),tc_nat)=X0)),
% 43.85/5.89 inference(resolution,[status(thm)],[f798,f762])).
% 43.85/5.89 fof(f7197,plain,(
% 43.85/5.89 ![X0,X1]: (~c_HOL_Oplus__class_Oplus(c_Suc(X0),X1,tc_nat)=X1)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1889,f7191])).
% 43.85/5.89 fof(f7307,plain,(
% 43.85/5.89 spl0_196 <=> ~c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(c_Suc(c_Suc(X0)))),X0,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|X0=c_Suc(c_Suc(c_Suc(c_Suc(X0))))),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f7310,plain,(
% 43.85/5.89 ![X0]: (~c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(c_Suc(c_Suc(X0)))),X0,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|X0=c_Suc(c_Suc(c_Suc(c_Suc(X0))))|~spl0_175)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f6879,f1328])).
% 43.85/5.89 fof(f7311,plain,(
% 43.85/5.89 spl0_196|~spl0_11|~spl0_175),
% 43.85/5.89 inference(split_clause,[status(thm)],[f7310,f7307,f1854,f5193])).
% 43.85/5.89 fof(f7326,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)|c_HOL_Ozero__class_Ozero(tc_nat)=X0|~spl0_175)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f1732,f5699])).
% 43.85/5.89 fof(f7330,plain,(
% 43.85/5.89 spl0_197 <=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f7331,plain,(
% 43.85/5.89 ![X0]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)|~spl0_197)),
% 43.85/5.89 inference(component_clause,[status(thm)],[f7330])).
% 43.85/5.89 fof(f7338,plain,(
% 43.85/5.89 spl0_198 <=> c_HOL_Ozero__class_Ozero(tc_nat)=c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f7339,plain,(
% 43.85/5.89 c_HOL_Ozero__class_Ozero(tc_nat)=c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))|~spl0_198),
% 43.85/5.89 inference(component_clause,[status(thm)],[f7338])).
% 43.85/5.89 fof(f7343,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),X0,tc_nat)|~spl0_175)),
% 43.85/5.89 inference(resolution,[status(thm)],[f7326,f1428])).
% 43.85/5.89 fof(f7344,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)|c_HOL_Oord__class_Oless(X1,X0,tc_nat)|~spl0_175)),
% 43.85/5.89 inference(forward_demodulation,[status(thm)],[f1732,f7343])).
% 43.85/5.89 fof(f7399,plain,(
% 43.85/5.89 spl0_199 <=> c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(c_Suc(c_Suc(X0)),X1,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(X0,c_Suc(c_Suc(X0)),tc_nat)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f7402,plain,(
% 43.85/5.89 ![X0,X1]: (~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(c_Suc(c_Suc(X0)),X1,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(X0,c_Suc(c_Suc(X0)),tc_nat)|~spl0_122|~spl0_175)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f6647,f4435])).
% 43.85/5.89 fof(f7403,plain,(
% 43.85/5.89 ~spl0_11|spl0_199|~spl0_122|~spl0_175),
% 43.85/5.89 inference(split_clause,[status(thm)],[f7402,f1854,f7399,f3619,f5193])).
% 43.85/5.89 fof(f7429,plain,(
% 43.85/5.89 spl0_200 <=> ~c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_Suc(c_Suc(X0)),X1,tc_nat),X0,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|X0=c_HOL_Oplus__class_Oplus(c_Suc(c_Suc(X0)),X1,tc_nat)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f7432,plain,(
% 43.85/5.89 ![X0,X1]: (~c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_Suc(c_Suc(X0)),X1,tc_nat),X0,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|X0=c_HOL_Oplus__class_Oplus(c_Suc(c_Suc(X0)),X1,tc_nat)|~spl0_175)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f6647,f1328])).
% 43.85/5.89 fof(f7433,plain,(
% 43.85/5.89 spl0_200|~spl0_11|~spl0_175),
% 43.85/5.89 inference(split_clause,[status(thm)],[f7432,f7429,f1854,f5193])).
% 43.85/5.89 fof(f7468,plain,(
% 43.85/5.89 spl0_201 <=> ~c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat))),X0,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|X0=c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)))),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f7471,plain,(
% 43.85/5.89 ![X0,X1]: (~c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat))),X0,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|X0=c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)))|~spl0_175)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f6667,f1328])).
% 43.85/5.89 fof(f7472,plain,(
% 43.85/5.89 spl0_201|~spl0_11|~spl0_175),
% 43.85/5.89 inference(split_clause,[status(thm)],[f7471,f7468,f1854,f5193])).
% 43.85/5.89 fof(f7507,plain,(
% 43.85/5.89 spl0_202 <=> ~c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat))),X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|X1=c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)))),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f7510,plain,(
% 43.85/5.89 ![X0,X1]: (~c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat))),X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|X1=c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)))|~spl0_175)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f6694,f1328])).
% 43.85/5.89 fof(f7511,plain,(
% 43.85/5.89 spl0_202|~spl0_11|~spl0_175),
% 43.85/5.89 inference(split_clause,[status(thm)],[f7510,f7507,f1854,f5193])).
% 43.85/5.89 fof(f7603,plain,(
% 43.85/5.89 spl0_203 <=> ~c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,c_Suc(c_Suc(X1)),tc_nat),X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|X1=c_HOL_Oplus__class_Oplus(X0,c_Suc(c_Suc(X1)),tc_nat)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f7606,plain,(
% 43.85/5.89 ![X0,X1]: (~c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,c_Suc(c_Suc(X1)),tc_nat),X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|X1=c_HOL_Oplus__class_Oplus(X0,c_Suc(c_Suc(X1)),tc_nat)|~spl0_175)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f6712,f1328])).
% 43.85/5.89 fof(f7607,plain,(
% 43.85/5.89 spl0_203|~spl0_11|~spl0_175),
% 43.85/5.89 inference(split_clause,[status(thm)],[f7606,f7603,f1854,f5193])).
% 43.85/5.89 fof(f8042,plain,(
% 43.85/5.89 ![X0,X1,X2,X3]: (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,t_a),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),t_a)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,X2,t_a),c_Power_Opower__class_Opower(X0,X1,t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat)|X1=X2|~spl0_175)),
% 43.85/5.89 inference(resolution,[status(thm)],[f7157,f5707])).
% 43.85/5.89 fof(f8105,plain,(
% 43.85/5.89 spl0_204 <=> ~c_HOL_Ominus__class_Ominus(X0,c_Divides_Odiv__class_Omod(X0,X1,tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_Divides_Odiv__class_Omod(X0,X1,tc_nat)=X0),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f8106,plain,(
% 43.85/5.89 ![X0,X1]: (~c_HOL_Ominus__class_Ominus(X0,c_Divides_Odiv__class_Omod(X0,X1,tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_Divides_Odiv__class_Omod(X0,X1,tc_nat)=X0|~spl0_204)),
% 43.85/5.89 inference(component_clause,[status(thm)],[f8105])).
% 43.85/5.89 fof(f8108,plain,(
% 43.85/5.89 ![X0,X1]: (~c_HOL_Ominus__class_Ominus(X0,c_Divides_Odiv__class_Omod(X0,X1,tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_Divides_Odiv__class_Omod(X0,X1,tc_nat)=X0)),
% 43.85/5.89 inference(paramodulation,[status(thm)],[f6460,f1328])).
% 43.85/5.89 fof(f8109,plain,(
% 43.85/5.89 spl0_204|~spl0_11),
% 43.85/5.89 inference(split_clause,[status(thm)],[f8108,f8105,f1854])).
% 43.85/5.89 fof(f8123,plain,(
% 43.85/5.89 spl0_205 <=> c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f8125,plain,(
% 43.85/5.89 ~c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|spl0_205),
% 43.85/5.89 inference(component_clause,[status(thm)],[f8123])).
% 43.85/5.89 fof(f8126,plain,(
% 43.85/5.89 spl0_206 <=> c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
% 43.85/5.89 introduced(split_symbol_definition)).
% 43.85/5.89 fof(f8129,plain,(
% 43.85/5.89 ~c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
% 43.85/5.89 inference(resolution,[status(thm)],[f6421,f1328])).
% 43.85/5.89 fof(f8130,plain,(
% 43.85/5.89 ~spl0_205|spl0_206),
% 43.85/5.89 inference(split_clause,[status(thm)],[f8129,f8123,f8126])).
% 43.85/5.89 fof(f8166,plain,(
% 43.85/5.89 ~c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|spl0_205),
% 43.85/5.89 inference(forward_demodulation,[status(thm)],[f1333,f8125])).
% 43.85/5.89 fof(f8167,plain,(
% 43.85/5.89 ~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|spl0_205),
% 43.85/5.89 inference(forward_demodulation,[status(thm)],[f1819,f8166])).
% 43.85/5.89 fof(f8168,plain,(
% 43.85/5.89 $false|spl0_205),
% 43.85/5.89 inference(trivial_equality_resolution,[status(esa)],[f8167])).
% 43.85/5.89 fof(f8169,plain,(
% 43.85/5.89 spl0_205),
% 43.85/5.89 inference(contradiction_clause,[status(thm)],[f8168])).
% 43.85/5.89 fof(f8201,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X0,X1,tc_nat)|~c_lessequals(X1,X0,tc_nat))),
% 43.85/5.89 inference(resolution,[status(thm)],[f1555,f1610])).
% 43.85/5.89 fof(f8202,plain,(
% 43.85/5.89 ![X0,X1]: (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X0,X1,tc_nat)|~c_lessequals(X1,X0,tc_nat))),
% 43.85/5.89 inference(forward_demodulation,[status(thm)],[f1331,f8201])).
% 43.85/5.89 fof(f8203,plain,(
% 43.85/5.89 ![X0,X1]: (~c_HOL_Oord__class_Oless(X0,X1,tc_nat)|~c_lessequals(X1,X0,tc_nat))),
% 43.85/5.89 inference(forward_subsumption_resolution,[status(thm)],[f8202,f1156])).
% 43.85/5.89 fof(f8231,plain,(
% 43.85/5.89 ~c_lessequals(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
% 43.85/5.89 inference(resolution,[status(thm)],[f1338,f1692])).
% 43.85/5.89 fof(f8234,plain,(
% 43.85/5.89 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)),
% 43.85/5.89 inference(resolution,[status(thm)],[f1412,f1692])).
% 43.85/5.89 fof(f8260,plain,(
% 43.85/5.89 ![X0,X1]: (~c_HOL_Oord__class_Oless(X0,c_Divides_Odiv__class_Omod(X0,X1,tc_nat),tc_nat))),
% 43.85/5.89 inference(resolution,[status(thm)],[f8203,f1314])).
% 43.85/5.89 fof(f8266,plain,(
% 43.85/5.89 ![X0]: (~c_HOL_Oord__class_Oless(c_Suc(c_Suc(X0)),X0,tc_nat))),
% 43.85/5.89 inference(resolution,[status(thm)],[f8203,f7127])).
% 43.85/5.89 fof(f8267,plain,(
% 43.85/5.89 ![X0,X1]: (~c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)),X1,tc_nat))),
% 43.85/5.89 inference(resolution,[status(thm)],[f8203,f6443])).
% 43.85/5.89 fof(f8268,plain,(
% 43.85/5.89 ![X0,X1]: (~c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)),X0,tc_nat))),
% 43.85/5.89 inference(resolution,[status(thm)],[f8203,f6442])).
% 43.85/5.89 fof(f8271,plain,(
% 43.85/5.89 ![X0,X1]: (~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_Suc(X1),tc_nat),X1,tc_nat))),
% 43.85/5.89 inference(resolution,[status(thm)],[f8203,f6410])).
% 43.85/5.89 fof(f8277,plain,(
% 43.85/5.89 ![X0,X1]: (~c_HOL_Oord__class_Oless(X0,X1,tc_nat)|~c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))),
% 43.85/5.90 inference(resolution,[status(thm)],[f8203,f1570])).
% 43.85/5.90 fof(f8280,plain,(
% 43.85/5.90 ![X0,X1]: (~c_HOL_Oord__class_Oless(X0,X1,tc_nat)|~c_HOL_Oord__class_Oless(X1,X0,tc_nat))),
% 43.85/5.90 inference(resolution,[status(thm)],[f8203,f1280])).
% 43.85/5.90 fof(f8351,plain,(
% 43.85/5.90 spl0_207 <=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f8354,plain,(
% 43.85/5.90 spl0_208 <=> c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Oone__class_Oone(tc_nat)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f8355,plain,(
% 43.85/5.90 c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Oone__class_Oone(tc_nat)|~spl0_208),
% 43.85/5.90 inference(component_clause,[status(thm)],[f8354])).
% 43.85/5.90 fof(f8357,plain,(
% 43.85/5.90 ![X0]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)|c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Oone__class_Oone(tc_nat)|~spl0_175)),
% 43.85/5.90 inference(resolution,[status(thm)],[f8231,f5707])).
% 43.85/5.90 fof(f8358,plain,(
% 43.85/5.90 spl0_207|spl0_208|~spl0_175),
% 43.85/5.90 inference(split_clause,[status(thm)],[f8357,f8351,f8354,f5193])).
% 43.85/5.90 fof(f8376,plain,(
% 43.85/5.90 spl0_209 <=> ~c_Suc(c_Divides_Odiv__class_Omod(X0,c_Suc(X0),tc_nat))=c_Suc(X0)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f8377,plain,(
% 43.85/5.90 ![X0]: (~c_Suc(c_Divides_Odiv__class_Omod(X0,c_Suc(X0),tc_nat))=c_Suc(X0)|~spl0_209)),
% 43.85/5.90 inference(component_clause,[status(thm)],[f8376])).
% 43.85/5.90 fof(f8389,plain,(
% 43.85/5.90 ![X0,X1,X2,X3]: (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,t_a),c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat),X2,tc_nat),t_a)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,X2,t_a),c_Power_Opower__class_Opower(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat),t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat)=X2|~spl0_175)),
% 43.85/5.90 inference(resolution,[status(thm)],[f8042,f1426])).
% 43.85/5.90 fof(f8390,plain,(
% 43.85/5.90 ![X0,X1,X2,X3]: (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,t_a),c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),X2,tc_nat),t_a)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,X2,t_a),c_Power_Opower__class_Opower(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat),t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat)=X2|~spl0_175)),
% 43.85/5.90 inference(forward_demodulation,[status(thm)],[f691,f8389])).
% 43.85/5.90 fof(f8391,plain,(
% 43.85/5.90 ![X0,X1,X2,X3]: (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,t_a),c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),X2,tc_nat),t_a)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,X2,t_a),c_Power_Opower__class_Opower(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat)=X2|~spl0_175)),
% 43.85/5.90 inference(forward_demodulation,[status(thm)],[f691,f8390])).
% 43.85/5.90 fof(f8392,plain,(
% 43.85/5.90 ![X0,X1,X2,X3]: (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,t_a),c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),X2,tc_nat),t_a)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,X2,t_a),c_Power_Opower__class_Opower(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)=X2|~spl0_175)),
% 43.85/5.90 inference(forward_demodulation,[status(thm)],[f691,f8391])).
% 43.85/5.90 fof(f8393,plain,(
% 43.85/5.90 ![X0,X1,X2,X3]: (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,t_a),c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),X3,tc_nat),t_a)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,X3,t_a),c_Power_Opower__class_Opower(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)=X3|~spl0_175)),
% 43.85/5.90 inference(resolution,[status(thm)],[f8042,f1425])).
% 43.85/5.90 fof(f8394,plain,(
% 43.85/5.90 ![X0,X1,X2,X3,X4]: (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,t_a),c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat),t_a)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,X3,t_a),c_Power_Opower__class_Opower(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)=X3|c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X4,X3,tc_nat),X2,tc_nat),tc_nat)|~spl0_175)),
% 43.85/5.90 inference(resolution,[status(thm)],[f8042,f1427])).
% 43.85/5.90 fof(f8396,plain,(
% 43.85/5.90 ![X0,X1,X2]: (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,t_a),c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),X2,tc_nat),t_a)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,X2,t_a),c_Power_Opower__class_Opower(X0,c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat))=X2|~spl0_175)),
% 43.85/5.90 inference(resolution,[status(thm)],[f8042,f4345])).
% 43.85/5.90 fof(f8506,plain,(
% 43.85/5.90 spl0_210 <=> c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f8509,plain,(
% 43.85/5.90 ![X0]: (~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_204)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f1334,f8106])).
% 43.85/5.90 fof(f8510,plain,(
% 43.85/5.90 ~spl0_11|spl0_210|~spl0_204),
% 43.85/5.90 inference(split_clause,[status(thm)],[f8509,f1854,f8506,f8105])).
% 43.85/5.90 fof(f8556,plain,(
% 43.85/5.90 ![X0,X1,X2]: (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat)),tc_nat)|~spl0_175)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f1732,f5510])).
% 43.85/5.90 fof(f8576,plain,(
% 43.85/5.90 ![X0,X1]: (c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Oplus__class_Oplus(c_Suc(X0),X1,tc_nat)),tc_nat)|~spl0_175)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f6421,f8556])).
% 43.85/5.90 fof(f8619,plain,(
% 43.85/5.90 ![X0,X1]: (c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Oplus__class_Oplus(c_Suc(X0),X1,tc_nat)),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_175)),
% 43.85/5.90 inference(resolution,[status(thm)],[f8576,f1821])).
% 43.85/5.90 fof(f8627,plain,(
% 43.85/5.90 ![X0,X1]: (c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Oplus__class_Oplus(X1,c_Suc(X0),tc_nat)),tc_nat)|~spl0_175)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f1889,f8576])).
% 43.85/5.90 fof(f8633,plain,(
% 43.85/5.90 ![X0,X1]: (c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Oplus__class_Oplus(X1,c_Suc(X0),tc_nat)),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_175)),
% 43.85/5.90 inference(resolution,[status(thm)],[f8627,f1821])).
% 43.85/5.90 fof(f8776,plain,(
% 43.85/5.90 spl0_211 <=> ~c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Oplus__class_Oplus(c_Suc(X0),X1,tc_nat)),X0,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|X0=c_Suc(c_HOL_Oplus__class_Oplus(c_Suc(X0),X1,tc_nat))),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f8779,plain,(
% 43.85/5.90 ![X0,X1]: (~c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Oplus__class_Oplus(c_Suc(X0),X1,tc_nat)),X0,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|X0=c_Suc(c_HOL_Oplus__class_Oplus(c_Suc(X0),X1,tc_nat))|~spl0_175)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f8619,f1328])).
% 43.85/5.90 fof(f8780,plain,(
% 43.85/5.90 spl0_211|~spl0_11|~spl0_175),
% 43.85/5.90 inference(split_clause,[status(thm)],[f8779,f8776,f1854,f5193])).
% 43.85/5.90 fof(f8820,plain,(
% 43.85/5.90 spl0_212 <=> ~c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Oplus__class_Oplus(X0,c_Suc(X1),tc_nat)),X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|X1=c_Suc(c_HOL_Oplus__class_Oplus(X0,c_Suc(X1),tc_nat))),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f8823,plain,(
% 43.85/5.90 ![X0,X1]: (~c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Oplus__class_Oplus(X0,c_Suc(X1),tc_nat)),X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|X1=c_Suc(c_HOL_Oplus__class_Oplus(X0,c_Suc(X1),tc_nat))|~spl0_175)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f8633,f1328])).
% 43.85/5.90 fof(f8824,plain,(
% 43.85/5.90 spl0_212|~spl0_11|~spl0_175),
% 43.85/5.90 inference(split_clause,[status(thm)],[f8823,f8820,f1854,f5193])).
% 43.85/5.90 fof(f8894,plain,(
% 43.85/5.90 spl0_213 <=> ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),tc_nat)|c_HOL_Oord__class_Oless(X2,X1,tc_nat)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f8897,plain,(
% 43.85/5.90 ![X0,X1,X2]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),tc_nat)|c_HOL_Oord__class_Oless(X2,X1,tc_nat)|~spl0_175)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f1742,f5532])).
% 43.85/5.90 fof(f8898,plain,(
% 43.85/5.90 spl0_197|spl0_213|~spl0_175),
% 43.85/5.90 inference(split_clause,[status(thm)],[f8897,f7330,f8894,f5193])).
% 43.85/5.90 fof(f8946,plain,(
% 43.85/5.90 ![X0,X1]: (~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_Suc(c_Suc(X1)),tc_nat),X1,tc_nat)|~spl0_175)),
% 43.85/5.90 inference(resolution,[status(thm)],[f8280,f6368])).
% 43.85/5.90 fof(f8959,plain,(
% 43.85/5.90 ![X0]: (~c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(c_Suc(X0)))),X0,tc_nat)|~spl0_175)),
% 43.85/5.90 inference(resolution,[status(thm)],[f8280,f6869])).
% 43.85/5.90 fof(f8960,plain,(
% 43.85/5.90 ![X0]: (~c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(X0))),X0,tc_nat)|~spl0_175)),
% 43.85/5.90 inference(resolution,[status(thm)],[f8280,f6674])).
% 43.85/5.90 fof(f8961,plain,(
% 43.85/5.90 ![X0,X1]: (~c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat))),X1,tc_nat)|~spl0_175)),
% 43.85/5.90 inference(resolution,[status(thm)],[f8280,f6366])).
% 43.85/5.90 fof(f8962,plain,(
% 43.85/5.90 ![X0,X1]: (~c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat))),X0,tc_nat)|~spl0_175)),
% 43.85/5.90 inference(resolution,[status(thm)],[f8280,f6365])).
% 43.85/5.90 fof(f8967,plain,(
% 43.85/5.90 ![X0,X1]: (~c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(X0,c_Suc(X1),tc_nat)),X1,tc_nat)|~spl0_175)),
% 43.85/5.90 inference(resolution,[status(thm)],[f8280,f8627])).
% 43.85/5.90 fof(f9156,plain,(
% 43.85/5.90 spl0_214 <=> ~class_Nat_Osemiring__char__0(X0)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f9157,plain,(
% 43.85/5.90 ![X0]: (~class_Nat_Osemiring__char__0(X0)|~spl0_214)),
% 43.85/5.90 inference(component_clause,[status(thm)],[f9156])).
% 43.85/5.90 fof(f9159,plain,(
% 43.85/5.90 spl0_215 <=> X1=X1),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f9233,plain,(
% 43.85/5.90 ![X0]: (c_Divides_Odiv__class_Omod(X0,c_Suc(X0),tc_nat)=X0)),
% 43.85/5.90 inference(resolution,[status(thm)],[f823,f869])).
% 43.85/5.90 fof(f9234,plain,(
% 43.85/5.90 ![X0,X1]: (c_Divides_Odiv__class_Omod(X0,X1,tc_nat)=X0|c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)|~spl0_175)),
% 43.85/5.90 inference(resolution,[status(thm)],[f823,f7344])).
% 43.85/5.90 fof(f9238,plain,(
% 43.85/5.90 ![X0,X1]: (c_Divides_Odiv__class_Omod(X0,X1,tc_nat)=X0|X0=X1|~c_lessequals(X0,X1,tc_nat))),
% 43.85/5.90 inference(resolution,[status(thm)],[f823,f1289])).
% 43.85/5.90 fof(f9265,plain,(
% 43.85/5.90 spl0_216 <=> ~X0=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f9266,plain,(
% 43.85/5.90 ![X0]: (~X0=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|~spl0_216)),
% 43.85/5.90 inference(component_clause,[status(thm)],[f9265])).
% 43.85/5.90 fof(f9343,plain,(
% 43.85/5.90 $false|~spl0_197),
% 43.85/5.90 inference(resolution,[status(thm)],[f7331,f8260])).
% 43.85/5.90 fof(f9344,plain,(
% 43.85/5.90 ~spl0_197),
% 43.85/5.90 inference(contradiction_clause,[status(thm)],[f9343])).
% 43.85/5.90 fof(f9446,plain,(
% 43.85/5.90 ![X0]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(c_Suc(X0),X0,tc_nat),tc_nat)|~spl0_175)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f1732,f5798])).
% 43.85/5.90 fof(f9451,plain,(
% 43.85/5.90 $false|~spl0_214),
% 43.85/5.90 inference(backward_subsumption_resolution,[status(thm)],[f1703,f9157])).
% 43.85/5.90 fof(f9452,plain,(
% 43.85/5.90 ~spl0_214),
% 43.85/5.90 inference(contradiction_clause,[status(thm)],[f9451])).
% 43.85/5.90 fof(f9657,plain,(
% 43.85/5.90 spl0_221 <=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f9660,plain,(
% 43.85/5.90 ![X0,X1,X2]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)|~spl0_175)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f1742,f5535])).
% 43.85/5.90 fof(f9661,plain,(
% 43.85/5.90 spl0_221|spl0_197|~spl0_175),
% 43.85/5.90 inference(split_clause,[status(thm)],[f9660,f9657,f7330,f5193])).
% 43.85/5.90 fof(f9681,plain,(
% 43.85/5.90 spl0_222 <=> ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f9684,plain,(
% 43.85/5.90 ![X0,X1,X2]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)|~spl0_175)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f1742,f5538])).
% 43.85/5.90 fof(f9685,plain,(
% 43.85/5.90 spl0_197|spl0_222|~spl0_175),
% 43.85/5.90 inference(split_clause,[status(thm)],[f9684,f7330,f9681,f5193])).
% 43.85/5.90 fof(f9749,plain,(
% 43.85/5.90 ![X0,X1,X2]: (~c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,t_a),X2,t_a)=c_HOL_Oone__class_Oone(t_a)|X2=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oplus__class_Oplus(X1,X0,t_a)=X2)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f6244,f1844])).
% 43.85/5.90 fof(f9822,plain,(
% 43.85/5.90 ![X0,X1]: (c_HOL_Oord__class_Oless(X0,X1,tc_nat)|c_lessequals(X1,X0,tc_nat))),
% 43.85/5.90 inference(resolution,[status(thm)],[f999,f1705])).
% 43.85/5.90 fof(f9877,plain,(
% 43.85/5.90 spl0_226 <=> c_HOL_Oone__class_Oone(t_a)=c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),t_a)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f9880,plain,(
% 43.85/5.90 spl0_227 <=> c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f9881,plain,(
% 43.85/5.90 c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_227),
% 43.85/5.90 inference(component_clause,[status(thm)],[f9880])).
% 43.85/5.90 fof(f9883,plain,(
% 43.85/5.90 c_HOL_Oone__class_Oone(t_a)=c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f1758,f6529])).
% 43.85/5.90 fof(f9884,plain,(
% 43.85/5.90 spl0_226|spl0_5|spl0_227|~spl0_36),
% 43.85/5.90 inference(split_clause,[status(thm)],[f9883,f9877,f1775,f9880,f2228])).
% 43.85/5.90 fof(f9887,plain,(
% 43.85/5.90 spl0_228 <=> c_HOL_Oone__class_Oone(t_a)=c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X0,t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f9888,plain,(
% 43.85/5.90 ![X0]: (c_HOL_Oone__class_Oone(t_a)=c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X0,t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_228)),
% 43.85/5.90 inference(component_clause,[status(thm)],[f9887])).
% 43.85/5.90 fof(f9890,plain,(
% 43.85/5.90 spl0_229 <=> X1=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oinverse__class_Odivide(X1,X1,t_a)=c_HOL_Ozero__class_Ozero(t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f9891,plain,(
% 43.85/5.90 ![X0]: (X0=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oinverse__class_Odivide(X0,X0,t_a)=c_HOL_Ozero__class_Ozero(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_229)),
% 43.85/5.90 inference(component_clause,[status(thm)],[f9890])).
% 43.85/5.90 fof(f9893,plain,(
% 43.85/5.90 ![X0,X1]: (c_HOL_Oone__class_Oone(t_a)=c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X0,t_a),t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oinverse__class_Odivide(X1,X1,t_a)=c_HOL_Ozero__class_Ozero(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f2630,f6529])).
% 43.85/5.90 fof(f9894,plain,(
% 43.85/5.90 spl0_228|spl0_229|~spl0_36),
% 43.85/5.90 inference(split_clause,[status(thm)],[f9893,f9887,f9890,f2228])).
% 43.85/5.90 fof(f9899,plain,(
% 43.85/5.90 spl0_230 <=> c_HOL_Oinverse__class_Odivide(X0,X0,t_a)=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oinverse__class_Odivide(X1,X1,t_a)=c_HOL_Oinverse__class_Odivide(X0,X0,t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oinverse__class_Odivide(X0,X0,t_a)=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f9902,plain,(
% 43.85/5.90 ![X0,X1]: (~c_HOL_Oone__class_Oone(t_a)=c_HOL_Oone__class_Oone(t_a)|c_HOL_Oinverse__class_Odivide(X0,X0,t_a)=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oinverse__class_Odivide(X1,X1,t_a)=c_HOL_Oinverse__class_Odivide(X0,X0,t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oinverse__class_Odivide(X0,X0,t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f6529,f6551])).
% 43.85/5.90 fof(f9903,plain,(
% 43.85/5.90 ~spl0_8|spl0_230|~spl0_36),
% 43.85/5.90 inference(split_clause,[status(thm)],[f9902,f1788,f9899,f2228])).
% 43.85/5.90 fof(f9904,plain,(
% 43.85/5.90 spl0_231 <=> c_HOL_Oinverse__class_Odivide(X0,X0,t_a)=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Oinverse__class_Odivide(X0,X0,t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oinverse__class_Odivide(X0,X0,t_a)=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f9907,plain,(
% 43.85/5.90 ![X0]: (~c_HOL_Oone__class_Oone(t_a)=c_HOL_Oone__class_Oone(t_a)|c_HOL_Oinverse__class_Odivide(X0,X0,t_a)=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Oinverse__class_Odivide(X0,X0,t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oinverse__class_Odivide(X0,X0,t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f6529,f1968])).
% 43.85/5.90 fof(f9908,plain,(
% 43.85/5.90 ~spl0_8|spl0_231|~spl0_36),
% 43.85/5.90 inference(split_clause,[status(thm)],[f9907,f1788,f9904,f2228])).
% 43.85/5.90 fof(f9912,plain,(
% 43.85/5.90 ![X0]: (X0=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oinverse__class_Odivide(X0,X0,t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_229)),
% 43.85/5.90 inference(duplicate_literals_removal,[status(esa)],[f9891])).
% 43.85/5.90 fof(f9921,plain,(
% 43.85/5.90 spl0_232 <=> c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f9922,plain,(
% 43.85/5.90 c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_232),
% 43.85/5.90 inference(component_clause,[status(thm)],[f9921])).
% 43.85/5.90 fof(f9939,plain,(
% 43.85/5.90 c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_229),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f9912,f1758])).
% 43.85/5.90 fof(f9940,plain,(
% 43.85/5.90 spl0_232|spl0_5|~spl0_229),
% 43.85/5.90 inference(split_clause,[status(thm)],[f9939,f9921,f1775,f9890])).
% 43.85/5.90 fof(f9983,plain,(
% 43.85/5.90 c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_62),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f2637,f1758])).
% 43.85/5.90 fof(f9984,plain,(
% 43.85/5.90 spl0_232|spl0_5|~spl0_62),
% 43.85/5.90 inference(split_clause,[status(thm)],[f9983,f9921,f1775,f2636])).
% 43.85/5.90 fof(f10024,plain,(
% 43.85/5.90 spl0_233 <=> c_HOL_Oinverse__class_Odivide(X0,X0,t_a)=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oinverse__class_Odivide(X1,X1,t_a)=c_HOL_Oinverse__class_Odivide(X0,X0,t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f10027,plain,(
% 43.85/5.90 ![X0,X1]: (~c_HOL_Oone__class_Oone(t_a)=c_HOL_Oone__class_Oone(t_a)|c_HOL_Oinverse__class_Odivide(X0,X0,t_a)=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oinverse__class_Odivide(X1,X1,t_a)=c_HOL_Oinverse__class_Odivide(X0,X0,t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36|~spl0_228)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f9888,f6551])).
% 43.85/5.90 fof(f10028,plain,(
% 43.85/5.90 ~spl0_8|spl0_233|~spl0_36|~spl0_228),
% 43.85/5.90 inference(split_clause,[status(thm)],[f10027,f1788,f10024,f2228,f9887])).
% 43.85/5.90 fof(f10029,plain,(
% 43.85/5.90 spl0_234 <=> c_HOL_Oinverse__class_Odivide(X0,X0,t_a)=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Oinverse__class_Odivide(X0,X0,t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f10032,plain,(
% 43.85/5.90 ![X0]: (~c_HOL_Oone__class_Oone(t_a)=c_HOL_Oone__class_Oone(t_a)|c_HOL_Oinverse__class_Odivide(X0,X0,t_a)=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Oinverse__class_Odivide(X0,X0,t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_228)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f9888,f1968])).
% 43.85/5.90 fof(f10033,plain,(
% 43.85/5.90 ~spl0_8|spl0_234|~spl0_228),
% 43.85/5.90 inference(split_clause,[status(thm)],[f10032,f1788,f10029,f9887])).
% 43.85/5.90 fof(f10188,plain,(
% 43.85/5.90 spl0_235 <=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f10237,plain,(
% 43.85/5.90 spl0_244 <=> c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X2,tc_nat),tc_nat)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f10238,plain,(
% 43.85/5.90 ![X0,X1,X2]: (c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X2,tc_nat),tc_nat)|~spl0_244)),
% 43.85/5.90 inference(component_clause,[status(thm)],[f10237])).
% 43.85/5.90 fof(f10240,plain,(
% 43.85/5.90 ![X0,X1,X2]: (~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)|c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X2,tc_nat),tc_nat)|~spl0_175)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f1819,f5678])).
% 43.85/5.90 fof(f10241,plain,(
% 43.85/5.90 ~spl0_235|spl0_244|~spl0_175),
% 43.85/5.90 inference(split_clause,[status(thm)],[f10240,f10188,f10237,f5193])).
% 43.85/5.90 fof(f10765,plain,(
% 43.85/5.90 ![X0,X1]: (c_Divides_Odiv__class_Omod(X0,X1,tc_nat)=X0|X0=X1|c_lessequals(X1,X0,tc_nat))),
% 43.85/5.90 inference(resolution,[status(thm)],[f9238,f1604])).
% 43.85/5.90 fof(f10805,plain,(
% 43.85/5.90 spl0_306 <=> c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f10808,plain,(
% 43.85/5.90 c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Oone__class_Oone(tc_nat)),
% 43.85/5.90 inference(resolution,[status(thm)],[f10765,f8231])).
% 43.85/5.90 fof(f10809,plain,(
% 43.85/5.90 spl0_306|spl0_208),
% 43.85/5.90 inference(split_clause,[status(thm)],[f10808,f10805,f8354])).
% 43.85/5.90 fof(f10829,plain,(
% 43.85/5.90 $false|~spl0_208),
% 43.85/5.90 inference(forward_subsumption_resolution,[status(thm)],[f8355,f4455])).
% 43.85/5.90 fof(f10830,plain,(
% 43.85/5.90 ~spl0_208),
% 43.85/5.90 inference(contradiction_clause,[status(thm)],[f10829])).
% 43.85/5.90 fof(f11021,plain,(
% 43.85/5.90 ![X0,X1]: (~c_HOL_Ominus__class_Ominus(c_Suc(X0),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))),
% 43.85/5.90 inference(resolution,[status(thm)],[f8277,f3662])).
% 43.85/5.90 fof(f11033,plain,(
% 43.85/5.90 ![X0,X1]: (~c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_Suc(X0),X1,tc_nat),X0,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_175)),
% 43.85/5.90 inference(resolution,[status(thm)],[f8277,f5364])).
% 43.85/5.90 fof(f11041,plain,(
% 43.85/5.90 ![X0,X1]: (~c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,c_Suc(X1),tc_nat),X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_175)),
% 43.85/5.90 inference(resolution,[status(thm)],[f8277,f5352])).
% 43.85/5.90 fof(f11052,plain,(
% 43.85/5.90 ![X0]: (~c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(c_Suc(X0))),X0,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_175)),
% 43.85/5.90 inference(resolution,[status(thm)],[f8277,f6674])).
% 43.85/5.90 fof(f11055,plain,(
% 43.85/5.90 ![X0]: (~c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(X0)),X0,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))),
% 43.85/5.90 inference(resolution,[status(thm)],[f8277,f6394])).
% 43.85/5.90 fof(f11098,plain,(
% 43.85/5.90 ![X0,X1,X2]: (c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X1,X2),X1,X2)=X0|~class_Ring__and__Field_Ofield(X2))),
% 43.85/5.90 inference(resolution,[status(thm)],[f1238,f1681])).
% 43.85/5.90 fof(f11099,plain,(
% 43.85/5.90 ![X0,X1]: (~c_HOL_Ominus__class_Ominus(X0,X1,t_a)=c_HOL_Ozero__class_Ozero(t_a)|X0=X1)),
% 43.85/5.90 inference(resolution,[status(thm)],[f1240,f2571])).
% 43.85/5.90 fof(f11100,plain,(
% 43.85/5.90 ![X0]: (~c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Ozero__class_Ozero(t_a)|X0=X0)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f6455,f11099])).
% 43.85/5.90 fof(f11101,plain,(
% 43.85/5.90 ~spl0_7|spl0_215),
% 43.85/5.90 inference(split_clause,[status(thm)],[f11100,f1783,f9159])).
% 43.85/5.90 fof(f11103,plain,(
% 43.85/5.90 ![X0,X1,X2]: (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,X2),X1,X2)=X0|~class_Ring__and__Field_Ofield(X2))),
% 43.85/5.90 inference(resolution,[status(thm)],[f1248,f1681])).
% 43.85/5.90 fof(f11104,plain,(
% 43.85/5.90 ![X0]: (c_Divides_Odiv__class_Omod(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))),
% 43.85/5.90 inference(resolution,[status(thm)],[f1381,f1702])).
% 43.85/5.90 fof(f11111,plain,(
% 43.85/5.90 ![X0]: (c_GCD_Ogcd__class_Ogcd(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)=c_HOL_Oone__class_Oone(tc_nat))),
% 43.85/5.90 inference(resolution,[status(thm)],[f1429,f5181])).
% 43.85/5.90 fof(f11115,plain,(
% 43.85/5.90 spl0_307 <=> c_GCD_Ogcd__class_Ogcd(X0,X0,tc_nat)=X0),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f11118,plain,(
% 43.85/5.90 ![X0]: (c_GCD_Ogcd__class_Ogcd(X0,X0,tc_nat)=X0|~class_Ring__and__Field_Ocomm__semiring__1(tc_nat))),
% 43.85/5.90 inference(resolution,[status(thm)],[f1429,f864])).
% 43.85/5.90 fof(f11119,plain,(
% 43.85/5.90 spl0_307|~spl0_161),
% 43.85/5.90 inference(split_clause,[status(thm)],[f11118,f11115,f4395])).
% 43.85/5.90 fof(f11126,plain,(
% 43.85/5.90 ![X0]: (c_GCD_Ogcd__class_Ogcd(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)=c_HOL_Oone__class_Oone(tc_nat))),
% 43.85/5.90 inference(resolution,[status(thm)],[f1430,f5181])).
% 43.85/5.90 fof(f11144,plain,(
% 43.85/5.90 spl0_308 <=> c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(t_a),t_a),t_a)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f11166,plain,(
% 43.85/5.90 spl0_309 <=> c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(t_a),t_a),t_a)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f11167,plain,(
% 43.85/5.90 ![X0]: (c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(t_a),t_a),t_a)|~spl0_309)),
% 43.85/5.90 inference(component_clause,[status(thm)],[f11166])).
% 43.85/5.90 fof(f11200,plain,(
% 43.85/5.90 ![X0,X1]: (~c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(X0,X1,t_a),t_a)=c_HOL_Oone__class_Oone(t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oplus__class_Oplus(X0,X1,t_a)=X1|X1=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f5994,f1844])).
% 43.85/5.90 fof(f11201,plain,(
% 43.85/5.90 ![X0,X1]: (~c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(X0,X1,t_a),t_a)=c_HOL_Oone__class_Oone(t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oplus__class_Oplus(X0,X1,t_a)=X1|~spl0_36)),
% 43.85/5.90 inference(duplicate_literals_removal,[status(esa)],[f11200])).
% 43.85/5.90 fof(f11229,plain,(
% 43.85/5.90 ![X0,X1]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,t_a),X0,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(X1,X0,t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.90 inference(forward_demodulation,[status(thm)],[f5884,f5999])).
% 43.85/5.90 fof(f11238,plain,(
% 43.85/5.90 spl0_310 <=> c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,t_a),X1,t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f11840,plain,(
% 43.85/5.90 spl0_350 <=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X1,tc_nat),tc_nat)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f11841,plain,(
% 43.85/5.90 ![X0,X1]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X1,tc_nat),tc_nat)|~spl0_350)),
% 43.85/5.90 inference(component_clause,[status(thm)],[f11840])).
% 43.85/5.90 fof(f11855,plain,(
% 43.85/5.90 spl0_351 <=> ~c_HOL_Oplus__class_Oplus(X0,X1,t_a)=c_HOL_Oone__class_Oone(t_a)|c_HOL_Oplus__class_Oplus(X1,X0,t_a)=c_HOL_Oone__class_Oone(t_a)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f11858,plain,(
% 43.85/5.90 ![X0,X1]: (~c_HOL_Oplus__class_Oplus(X0,X1,t_a)=c_HOL_Oone__class_Oone(t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oplus__class_Oplus(X1,X0,t_a)=c_HOL_Oone__class_Oone(t_a))),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f1728,f9749])).
% 43.85/5.90 fof(f11859,plain,(
% 43.85/5.90 spl0_351|spl0_5),
% 43.85/5.90 inference(split_clause,[status(thm)],[f11858,f11855,f1775])).
% 43.85/5.90 fof(f11860,plain,(
% 43.85/5.90 spl0_352 <=> c_HOL_Oplus__class_Oplus(X1,X2,t_a)=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oplus__class_Oplus(X2,X1,t_a)=c_HOL_Oplus__class_Oplus(X1,X2,t_a)|c_HOL_Oplus__class_Oplus(X1,X2,t_a)=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f11867,plain,(
% 43.85/5.90 ![X0,X1]: (~c_HOL_Oone__class_Oone(t_a)=c_HOL_Oone__class_Oone(t_a)|c_HOL_Oplus__class_Oplus(X0,X1,t_a)=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oplus__class_Oplus(X1,X0,t_a)=c_HOL_Oplus__class_Oplus(X0,X1,t_a)|c_HOL_Oplus__class_Oplus(X0,X1,t_a)=c_HOL_Ozero__class_Ozero(t_a))),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f1774,f9749])).
% 43.85/5.90 fof(f11868,plain,(
% 43.85/5.90 ~spl0_8|spl0_352),
% 43.85/5.90 inference(split_clause,[status(thm)],[f11867,f1788,f11860])).
% 43.85/5.90 fof(f11903,plain,(
% 43.85/5.90 ![X0,X1]: (~c_HOL_Oplus__class_Oplus(X0,c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(X1)),X1,tc_nat),tc_nat)=X0)),
% 43.85/5.90 inference(resolution,[status(thm)],[f11055,f798])).
% 43.85/5.90 fof(f11984,plain,(
% 43.85/5.90 ![X0,X1]: (c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0)=c_HOL_Oone__class_Oone(X0)|~class_Ring__and__Field_Ofield(X0))),
% 43.85/5.90 inference(resolution,[status(thm)],[f1621,f1679])).
% 43.85/5.90 fof(f11989,plain,(
% 43.85/5.90 ![X0,X1]: (c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X1,t_a),X1,t_a)=X0)),
% 43.85/5.90 inference(resolution,[status(thm)],[f11098,f1661])).
% 43.85/5.90 fof(f11990,plain,(
% 43.85/5.90 ![X0,X1]: (c_HOL_Oplus__class_Oplus(X0,c_HOL_Ominus__class_Ominus(X1,X0,t_a),t_a)=X1)),
% 43.85/5.90 inference(forward_demodulation,[status(thm)],[f5884,f11989])).
% 43.85/5.90 fof(f12000,plain,(
% 43.85/5.90 ![X0,X1]: (c_HOL_Oinverse__class_Odivide(X0,X1,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X1,t_a),X1,t_a),t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f11990,f11229])).
% 43.85/5.90 fof(f12008,plain,(
% 43.85/5.90 ![X0,X1,X2]: (c_HOL_Oplus__class_Oplus(X0,X1,t_a)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,t_a),X0,t_a),t_a))),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f11990,f4282])).
% 43.85/5.90 fof(f12013,plain,(
% 43.85/5.90 ![X0,X1]: (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,t_a),X1,t_a)=X0)),
% 43.85/5.90 inference(resolution,[status(thm)],[f11103,f1661])).
% 43.85/5.90 fof(f12016,plain,(
% 43.85/5.90 ![X0,X1]: (c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,t_a),X0,t_a),c_HOL_Oinverse__class_Odivide(X1,X0,t_a),t_a)=c_HOL_Oone__class_Oone(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f11229,f12013])).
% 43.85/5.90 fof(f12017,plain,(
% 43.85/5.90 ![X0,X1]: (c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,t_a),X1,t_a),c_HOL_Oinverse__class_Odivide(X0,X1,t_a),t_a)=c_HOL_Oone__class_Oone(t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f5994,f12013])).
% 43.85/5.90 fof(f12023,plain,(
% 43.85/5.90 ![X0,X1]: (c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(X0,X1,t_a),t_a)=X1)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f11990,f12013])).
% 43.85/5.90 fof(f12024,plain,(
% 43.85/5.90 ![X0,X1,X2]: (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,t_a),t_a),c_HOL_Oplus__class_Oplus(X1,X0,t_a),t_a)=X2)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f4923,f12013])).
% 43.85/5.90 fof(f12033,plain,(
% 43.85/5.90 ![X0,X1]: (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,t_a),X0,t_a)=X1)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f5884,f12013])).
% 43.85/5.90 fof(f12049,plain,(
% 43.85/5.90 ![X0,X1]: (c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,t_a),X0,t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oinverse__class_Odivide(X1,X0,t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f11229,f12033])).
% 43.85/5.90 fof(f12073,plain,(
% 43.85/5.90 spl0_354 <=> c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f12076,plain,(
% 43.85/5.90 ~c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)),
% 43.85/5.90 inference(resolution,[status(thm)],[f1727,f1688])).
% 43.85/5.90 fof(f12077,plain,(
% 43.85/5.90 ~spl0_12|spl0_354),
% 43.85/5.90 inference(split_clause,[status(thm)],[f12076,f1857,f12073])).
% 43.85/5.90 fof(f12634,plain,(
% 43.85/5.90 ![X0,X1]: (~c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(X0)),X0,tc_nat),X1,tc_nat)=X1)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f1889,f11903])).
% 43.85/5.90 fof(f12650,plain,(
% 43.85/5.90 ![X0,X1,X2]: (~c_lessequals(X0,X1,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)|~spl0_160)),
% 43.85/5.90 inference(resolution,[status(thm)],[f1568,f4393])).
% 43.85/5.90 fof(f12654,plain,(
% 43.85/5.90 ![X0,X1,X2]: (~c_lessequals(X0,X1,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)|~spl0_160)),
% 43.85/5.90 inference(resolution,[status(thm)],[f1569,f4393])).
% 43.85/5.90 fof(f12707,plain,(
% 43.85/5.90 ![X0]: (c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(t_a),X0,t_a)=c_HOL_Oone__class_Oone(t_a))),
% 43.85/5.90 inference(resolution,[status(thm)],[f11984,f1661])).
% 43.85/5.90 fof(f12708,plain,(
% 43.85/5.90 spl0_374 <=> c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X2,tc_nat),t_a)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(t_a),X2,t_a),c_HOL_Oone__class_Oone(t_a),t_a)|c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)=X2),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f12711,plain,(
% 43.85/5.90 ![X0,X1,X2]: (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X2,tc_nat),t_a)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(t_a),X2,t_a),c_HOL_Oone__class_Oone(t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)=X2|~spl0_175)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f12707,f8393])).
% 43.85/5.90 fof(f12712,plain,(
% 43.85/5.90 spl0_374|spl0_5|~spl0_175),
% 43.85/5.90 inference(split_clause,[status(thm)],[f12711,f12708,f1775,f5193])).
% 43.85/5.90 fof(f12713,plain,(
% 43.85/5.90 spl0_375 <=> c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X1,tc_nat),t_a)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(t_a),X1,t_a),c_HOL_Oone__class_Oone(t_a),t_a)|c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)=X1),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f12716,plain,(
% 43.85/5.90 ![X0,X1,X2]: (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X1,tc_nat),t_a)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(t_a),X1,t_a),c_HOL_Oone__class_Oone(t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)=X1|~spl0_175)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f12707,f8392])).
% 43.85/5.90 fof(f12717,plain,(
% 43.85/5.90 spl0_375|spl0_5|~spl0_175),
% 43.85/5.90 inference(split_clause,[status(thm)],[f12716,f12713,f1775,f5193])).
% 43.85/5.90 fof(f12718,plain,(
% 43.85/5.90 spl0_376 <=> c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),t_a)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(t_a),X2,t_a),c_HOL_Oone__class_Oone(t_a),t_a)|c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)=X2|c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),X1,tc_nat),tc_nat)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f12721,plain,(
% 43.85/5.90 ![X0,X1,X2,X3]: (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),t_a)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(t_a),X2,t_a),c_HOL_Oone__class_Oone(t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)=X2|c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),X1,tc_nat),tc_nat)|~spl0_175)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f12707,f8394])).
% 43.85/5.90 fof(f12722,plain,(
% 43.85/5.90 spl0_376|spl0_5|~spl0_175),
% 43.85/5.90 inference(split_clause,[status(thm)],[f12721,f12718,f1775,f5193])).
% 43.85/5.90 fof(f12723,plain,(
% 43.85/5.90 spl0_377 <=> c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),t_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(t_a),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),t_a),t_a)|c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)=X2|c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),X1,tc_nat),tc_nat)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f12726,plain,(
% 43.85/5.90 ![X0,X1,X2,X3]: (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat),t_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(t_a),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)=X2|c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),X1,tc_nat),tc_nat)|~spl0_175)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f12707,f8394])).
% 43.85/5.90 fof(f12727,plain,(
% 43.85/5.90 spl0_377|spl0_5|~spl0_175),
% 43.85/5.90 inference(split_clause,[status(thm)],[f12726,f12723,f1775,f5193])).
% 43.85/5.90 fof(f12728,plain,(
% 43.85/5.90 spl0_378 <=> c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X2,tc_nat),t_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(t_a),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),t_a),t_a)|c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)=X2),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f12731,plain,(
% 43.85/5.90 ![X0,X1,X2]: (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X2,tc_nat),t_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(t_a),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)=X2|~spl0_175)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f12707,f8393])).
% 43.85/5.90 fof(f12732,plain,(
% 43.85/5.90 spl0_378|spl0_5|~spl0_175),
% 43.85/5.90 inference(split_clause,[status(thm)],[f12731,f12728,f1775,f5193])).
% 43.85/5.90 fof(f12733,plain,(
% 43.85/5.90 spl0_379 <=> c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X1,tc_nat),t_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(t_a),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),t_a),t_a)|c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)=X1),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f12736,plain,(
% 43.85/5.90 ![X0,X1,X2]: (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X1,tc_nat),t_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(t_a),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)=X1|~spl0_175)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f12707,f8392])).
% 43.85/5.90 fof(f12737,plain,(
% 43.85/5.90 spl0_379|spl0_5|~spl0_175),
% 43.85/5.90 inference(split_clause,[status(thm)],[f12736,f12733,f1775,f5193])).
% 43.85/5.90 fof(f12738,plain,(
% 43.85/5.90 spl0_380 <=> c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(t_a),t_a),X1,t_a)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,X1,t_a),c_HOL_Oone__class_Oone(t_a),t_a)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f12741,plain,(
% 43.85/5.90 ![X0,X1]: (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(t_a),t_a),X1,t_a)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,X1,t_a),c_HOL_Oone__class_Oone(t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a))),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f12707,f6453])).
% 43.85/5.90 fof(f12742,plain,(
% 43.85/5.90 spl0_380|spl0_5),
% 43.85/5.90 inference(split_clause,[status(thm)],[f12741,f12738,f1775])).
% 43.85/5.90 fof(f12775,plain,(
% 43.85/5.90 ![X0,X1]: (c_HOL_Oord__class_Oless(X0,X1,tc_nat)|c_lessequals(X1,c_Suc(X0),tc_nat))),
% 43.85/5.90 inference(resolution,[status(thm)],[f771,f1604])).
% 43.85/5.90 fof(f12786,plain,(
% 43.85/5.90 ![X0,X1]: (~c_HOL_Oord__class_Oless(X0,X1,tc_nat)|~c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat))),
% 43.85/5.90 inference(resolution,[status(thm)],[f772,f8203])).
% 43.85/5.90 fof(f12793,plain,(
% 43.85/5.90 ![X0]: (c_HOL_Ozero__class_Ozero(tc_nat)=c_Suc(c_Divides_Odiv__class_Omod(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat))|c_Suc(c_Divides_Odiv__class_Omod(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat))=c_HOL_Oone__class_Oone(tc_nat))),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f11104,f755])).
% 43.85/5.90 fof(f12794,plain,(
% 43.85/5.90 ![X0]: (c_HOL_Ozero__class_Ozero(tc_nat)=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|c_Suc(c_Divides_Odiv__class_Omod(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat))=c_HOL_Oone__class_Oone(tc_nat))),
% 43.85/5.90 inference(forward_demodulation,[status(thm)],[f11104,f12793])).
% 43.85/5.90 fof(f12795,plain,(
% 43.85/5.90 c_HOL_Ozero__class_Ozero(tc_nat)=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Oone__class_Oone(tc_nat)),
% 43.85/5.90 inference(forward_demodulation,[status(thm)],[f11104,f12794])).
% 43.85/5.90 fof(f12796,plain,(
% 43.85/5.90 c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Oone__class_Oone(tc_nat)),
% 43.85/5.90 inference(forward_subsumption_resolution,[status(thm)],[f12795,f762])).
% 43.85/5.90 fof(f12872,plain,(
% 43.85/5.90 ![X0]: (~c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a)=c_HOL_Oone__class_Oone(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X0,t_a),X0,t_a)=X0|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f6001,f11201])).
% 43.85/5.90 fof(f12873,plain,(
% 43.85/5.90 ~spl0_28|spl0_34|~spl0_36),
% 43.85/5.90 inference(split_clause,[status(thm)],[f12872,f2182,f2217,f2228])).
% 43.85/5.90 fof(f12882,plain,(
% 43.85/5.90 spl0_382 <=> ~c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),X0,t_a)=c_HOL_Oone__class_Oone(t_a)|c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oone__class_Oone(t_a)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f12885,plain,(
% 43.85/5.90 ![X0]: (~c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),X0,t_a)=c_HOL_Oone__class_Oone(t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oone__class_Oone(t_a)|~spl0_36)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f1728,f11201])).
% 43.85/5.90 fof(f12886,plain,(
% 43.85/5.90 spl0_382|spl0_5|~spl0_36),
% 43.85/5.90 inference(split_clause,[status(thm)],[f12885,f12882,f1775,f2228])).
% 43.85/5.90 fof(f12887,plain,(
% 43.85/5.90 spl0_383 <=> ~c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(X0,X0,t_a),t_a)=c_HOL_Oone__class_Oone(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f12888,plain,(
% 43.85/5.90 ![X0]: (~c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(X0,X0,t_a),t_a)=c_HOL_Oone__class_Oone(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_383)),
% 43.85/5.90 inference(component_clause,[status(thm)],[f12887])).
% 43.85/5.90 fof(f12890,plain,(
% 43.85/5.90 ![X0,X1]: (~c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(X0,X0,t_a),t_a)=c_HOL_Oone__class_Oone(t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oplus__class_Oplus(X1,X1,t_a)=X1|X0=c_HOL_Ozero__class_Ozero(t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f2630,f11201])).
% 43.85/5.90 fof(f12891,plain,(
% 43.85/5.90 spl0_383|spl0_24|~spl0_36),
% 43.85/5.90 inference(split_clause,[status(thm)],[f12890,f12887,f2110,f2228])).
% 43.85/5.90 fof(f12898,plain,(
% 43.85/5.90 ![X0]: (X0=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oplus__class_Oplus(X0,X0,t_a)=X0|~spl0_24)),
% 43.85/5.90 inference(duplicate_literals_removal,[status(esa)],[f2111])).
% 43.85/5.90 fof(f12899,plain,(
% 43.85/5.90 c_HOL_Oplus__class_Oplus(v_a,v_a,t_a)=v_a|~spl0_24|spl0_1),
% 43.85/5.90 inference(resolution,[status(thm)],[f12898,f1713])).
% 43.85/5.90 fof(f12983,plain,(
% 43.85/5.90 c_HOL_Ominus__class_Ominus(v_a,v_a,t_a)=v_a|~spl0_24|spl0_1),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f12899,f12033])).
% 43.85/5.90 fof(f12984,plain,(
% 43.85/5.90 c_HOL_Ozero__class_Ozero(t_a)=v_a|~spl0_24|spl0_1),
% 43.85/5.90 inference(forward_demodulation,[status(thm)],[f6455,f12983])).
% 43.85/5.90 fof(f12985,plain,(
% 43.85/5.90 $false|~spl0_24|spl0_1),
% 43.85/5.90 inference(forward_subsumption_resolution,[status(thm)],[f12984,f1713])).
% 43.85/5.90 fof(f12986,plain,(
% 43.85/5.90 ~spl0_24|spl0_1),
% 43.85/5.90 inference(contradiction_clause,[status(thm)],[f12985])).
% 43.85/5.90 fof(f13076,plain,(
% 43.85/5.90 spl0_387 <=> ~c_lessequals(X0,X1,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f13079,plain,(
% 43.85/5.90 ![X0,X1]: (~c_lessequals(X0,X1,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat)|~class_Ring__and__Field_Ocomm__semiring__1(tc_nat)|~spl0_160)),
% 43.85/5.90 inference(resolution,[status(thm)],[f12650,f864])).
% 43.85/5.90 fof(f13080,plain,(
% 43.85/5.90 spl0_387|~spl0_161|~spl0_160),
% 43.85/5.90 inference(split_clause,[status(thm)],[f13079,f13076,f4395,f4392])).
% 43.85/5.90 fof(f13098,plain,(
% 43.85/5.90 spl0_388 <=> ~c_lessequals(X0,X1,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f13101,plain,(
% 43.85/5.90 ![X0,X1]: (~c_lessequals(X0,X1,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)|~class_Ring__and__Field_Ocomm__semiring__1(tc_nat)|~spl0_160)),
% 43.85/5.90 inference(resolution,[status(thm)],[f12654,f864])).
% 43.85/5.90 fof(f13102,plain,(
% 43.85/5.90 spl0_388|~spl0_161|~spl0_160),
% 43.85/5.90 inference(split_clause,[status(thm)],[f13101,f13098,f4395,f4392])).
% 43.85/5.90 fof(f13126,plain,(
% 43.85/5.90 ![X0,X1]: (c_Divides_Odiv__class_Omod(X0,c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),tc_nat)=X0|c_HOL_Ozero__class_Ozero(tc_nat)=X1|~spl0_175)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f1336,f9234])).
% 43.85/5.90 fof(f13127,plain,(
% 43.85/5.90 ![X0,X1]: (c_Divides_Odiv__class_Omod(X0,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)=X0|c_HOL_Ozero__class_Ozero(tc_nat)=X1|~spl0_175)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f1335,f9234])).
% 43.85/5.90 fof(f13221,plain,(
% 43.85/5.90 spl0_409 <=> c_Divides_Odiv__class_Omod(X0,c_Suc(c_Suc(c_Suc(X0))),tc_nat)=X0),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f13224,plain,(
% 43.85/5.90 ![X0]: (~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_Divides_Odiv__class_Omod(X0,c_Suc(c_Suc(c_Suc(X0))),tc_nat)=X0|~spl0_175)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f9234,f11052])).
% 43.85/5.90 fof(f13225,plain,(
% 43.85/5.90 ~spl0_11|spl0_409|~spl0_175),
% 43.85/5.90 inference(split_clause,[status(thm)],[f13224,f1854,f13221,f5193])).
% 43.85/5.90 fof(f13226,plain,(
% 43.85/5.90 spl0_410 <=> ~c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)=X0),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f13227,plain,(
% 43.85/5.90 ![X0]: (~c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)=X0|~spl0_410)),
% 43.85/5.90 inference(component_clause,[status(thm)],[f13226])).
% 43.85/5.90 fof(f13229,plain,(
% 43.85/5.90 spl0_411 <=> c_Divides_Odiv__class_Omod(X1,c_Suc(c_Suc(X1)),tc_nat)=X1),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f13232,plain,(
% 43.85/5.90 ![X0,X1]: (~c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)=X0|c_Divides_Odiv__class_Omod(X1,c_Suc(c_Suc(X1)),tc_nat)=X1|~spl0_175)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f9234,f12634])).
% 43.85/5.90 fof(f13233,plain,(
% 43.85/5.90 spl0_410|spl0_411|~spl0_175),
% 43.85/5.90 inference(split_clause,[status(thm)],[f13232,f13226,f13229,f5193])).
% 43.85/5.90 fof(f13234,plain,(
% 43.85/5.90 spl0_412 <=> ~c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=X0),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f13235,plain,(
% 43.85/5.90 ![X0]: (~c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=X0|~spl0_412)),
% 43.85/5.90 inference(component_clause,[status(thm)],[f13234])).
% 43.85/5.90 fof(f13244,plain,(
% 43.85/5.90 spl0_413 <=> c_Divides_Odiv__class_Omod(X0,c_Suc(X0),tc_nat)=X0),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f13247,plain,(
% 43.85/5.90 ![X0]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)|c_Divides_Odiv__class_Omod(X0,c_Suc(X0),tc_nat)=X0|~spl0_175)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f9234,f9446])).
% 43.85/5.90 fof(f13248,plain,(
% 43.85/5.90 spl0_235|spl0_413|~spl0_175),
% 43.85/5.90 inference(split_clause,[status(thm)],[f13247,f10188,f13244,f5193])).
% 43.85/5.90 fof(f13249,plain,(
% 43.85/5.90 spl0_414 <=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f13250,plain,(
% 43.85/5.90 ![X0]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat)|~spl0_414)),
% 43.85/5.90 inference(component_clause,[status(thm)],[f13249])).
% 43.85/5.90 fof(f13269,plain,(
% 43.85/5.90 spl0_415 <=> c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)=c_HOL_Oplus__class_Oplus(X2,X0,tc_nat)|c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f13272,plain,(
% 43.85/5.90 ![X0,X1,X2]: (~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)=c_HOL_Oplus__class_Oplus(X2,X0,tc_nat)|c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)|~spl0_122|~spl0_175)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f9234,f3889])).
% 43.85/5.90 fof(f13273,plain,(
% 43.85/5.90 ~spl0_11|spl0_415|~spl0_122|~spl0_175),
% 43.85/5.90 inference(split_clause,[status(thm)],[f13272,f1854,f13269,f3619,f5193])).
% 43.85/5.90 fof(f13274,plain,(
% 43.85/5.90 spl0_416 <=> c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)=c_HOL_Oplus__class_Oplus(X0,X2,tc_nat)|c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f13277,plain,(
% 43.85/5.90 ![X0,X1,X2]: (~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)=c_HOL_Oplus__class_Oplus(X0,X2,tc_nat)|c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)|~spl0_122|~spl0_175)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f9234,f3887])).
% 43.85/5.90 fof(f13278,plain,(
% 43.85/5.90 ~spl0_11|spl0_416|~spl0_122|~spl0_175),
% 43.85/5.90 inference(split_clause,[status(thm)],[f13277,f1854,f13274,f3619,f5193])).
% 43.85/5.90 fof(f13288,plain,(
% 43.85/5.90 spl0_418 <=> c_Divides_Odiv__class_Omod(X0,X1,tc_nat)=X0|c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),X0,tc_nat)=c_Divides_Odiv__class_Omod(X0,X1,tc_nat)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f13291,plain,(
% 43.85/5.90 ![X0,X1]: (~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_Divides_Odiv__class_Omod(X0,X1,tc_nat)=X0|c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),X0,tc_nat)=c_Divides_Odiv__class_Omod(X0,X1,tc_nat)|~spl0_204|~spl0_175)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f9234,f8106])).
% 43.85/5.90 fof(f13292,plain,(
% 43.85/5.90 ~spl0_11|spl0_418|~spl0_204|~spl0_175),
% 43.85/5.90 inference(split_clause,[status(thm)],[f13291,f1854,f13288,f8105,f5193])).
% 43.85/5.90 fof(f13316,plain,(
% 43.85/5.90 spl0_419 <=> c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)=X0|c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)=c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f13319,plain,(
% 43.85/5.90 ![X0,X1]: (~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)=X0|c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)=c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)|~spl0_122|~spl0_175)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f9234,f3620])).
% 43.85/5.90 fof(f13320,plain,(
% 43.85/5.90 ~spl0_11|spl0_419|~spl0_122|~spl0_175),
% 43.85/5.90 inference(split_clause,[status(thm)],[f13319,f1854,f13316,f3619,f5193])).
% 43.85/5.90 fof(f13332,plain,(
% 43.85/5.90 spl0_420 <=> c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)|c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat),X0,tc_nat)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f13335,plain,(
% 43.85/5.90 ![X0,X1,X2]: (~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)|c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat),X0,tc_nat)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat)|~spl0_122|~spl0_175)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f9234,f4435])).
% 43.85/5.90 fof(f13336,plain,(
% 43.85/5.90 ~spl0_11|spl0_420|~spl0_122|~spl0_175),
% 43.85/5.90 inference(split_clause,[status(thm)],[f13335,f1854,f13332,f3619,f5193])).
% 43.85/5.90 fof(f13411,plain,(
% 43.85/5.90 spl0_427 <=> ~c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|X1=X0|c_Divides_Odiv__class_Omod(X0,X1,tc_nat)=X0),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f13414,plain,(
% 43.85/5.90 ![X0,X1]: (~c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|X1=X0|c_Divides_Odiv__class_Omod(X0,X1,tc_nat)=X0|~spl0_175)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f9234,f1328])).
% 43.85/5.90 fof(f13415,plain,(
% 43.85/5.90 spl0_427|~spl0_11|~spl0_175),
% 43.85/5.90 inference(split_clause,[status(thm)],[f13414,f13411,f1854,f5193])).
% 43.85/5.90 fof(f13451,plain,(
% 43.85/5.90 ![X0,X1]: (~c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)),X0,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_175)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f1326,f11033])).
% 43.85/5.90 fof(f13454,plain,(
% 43.85/5.90 spl0_429 <=> c_Divides_Odiv__class_Omod(X0,c_HOL_Oplus__class_Oplus(c_Suc(X0),X1,tc_nat),tc_nat)=X0),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f13457,plain,(
% 43.85/5.90 ![X0,X1]: (~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_Divides_Odiv__class_Omod(X0,c_HOL_Oplus__class_Oplus(c_Suc(X0),X1,tc_nat),tc_nat)=X0|~spl0_175)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f9234,f11033])).
% 43.85/5.90 fof(f13458,plain,(
% 43.85/5.90 ~spl0_11|spl0_429|~spl0_175),
% 43.85/5.90 inference(split_clause,[status(thm)],[f13457,f1854,f13454,f5193])).
% 43.85/5.90 fof(f13467,plain,(
% 43.85/5.90 ![X0,X1]: (~c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)),X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_175)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f1325,f11041])).
% 43.85/5.90 fof(f13470,plain,(
% 43.85/5.90 spl0_430 <=> c_Divides_Odiv__class_Omod(X0,c_HOL_Oplus__class_Oplus(X1,c_Suc(X0),tc_nat),tc_nat)=X0),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f13473,plain,(
% 43.85/5.90 ![X0,X1]: (~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_Divides_Odiv__class_Omod(X0,c_HOL_Oplus__class_Oplus(X1,c_Suc(X0),tc_nat),tc_nat)=X0|~spl0_175)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f9234,f11041])).
% 43.85/5.90 fof(f13474,plain,(
% 43.85/5.90 ~spl0_11|spl0_430|~spl0_175),
% 43.85/5.90 inference(split_clause,[status(thm)],[f13473,f1854,f13470,f5193])).
% 43.85/5.90 fof(f13831,plain,(
% 43.85/5.90 ![X0,X1]: (c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)|c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat))),
% 43.85/5.90 inference(resolution,[status(thm)],[f12775,f771])).
% 43.85/5.90 fof(f13943,plain,(
% 43.85/5.90 ![X0,X1]: (c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)|~c_HOL_Oord__class_Oless(X0,X1,tc_nat))),
% 43.85/5.90 inference(resolution,[status(thm)],[f13831,f12786])).
% 43.85/5.90 fof(f13978,plain,(
% 43.85/5.90 ![X0,X1]: (~c_HOL_Oord__class_Oless(X0,X1,tc_nat)|~c_HOL_Oord__class_Oless(c_Suc(X1),X0,tc_nat))),
% 43.85/5.90 inference(resolution,[status(thm)],[f13943,f8280])).
% 43.85/5.90 fof(f14024,plain,(
% 43.85/5.90 ![X0,X1]: (~c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_Suc(X1),X0,tc_nat))),
% 43.85/5.90 inference(resolution,[status(thm)],[f13978,f13943])).
% 43.85/5.90 fof(f14242,plain,(
% 43.85/5.90 spl0_431 <=> c_lessequals(c_Suc(c_HOL_Oone__class_Oone(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f14244,plain,(
% 43.85/5.90 ~c_lessequals(c_Suc(c_HOL_Oone__class_Oone(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)|spl0_431),
% 43.85/5.90 inference(component_clause,[status(thm)],[f14242])).
% 43.85/5.90 fof(f14245,plain,(
% 43.85/5.90 c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))=c_HOL_Ozero__class_Ozero(tc_nat)|~c_lessequals(c_Suc(c_HOL_Oone__class_Oone(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f12796,f6432])).
% 43.85/5.90 fof(f14246,plain,(
% 43.85/5.90 spl0_198|~spl0_431),
% 43.85/5.90 inference(split_clause,[status(thm)],[f14245,f7338,f14242])).
% 43.85/5.90 fof(f14325,plain,(
% 43.85/5.90 spl0_432 <=> c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f14327,plain,(
% 43.85/5.90 ~c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat)|spl0_432),
% 43.85/5.90 inference(component_clause,[status(thm)],[f14325])).
% 43.85/5.90 fof(f14393,plain,(
% 43.85/5.90 ![X0,X1]: (~c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)|X1=X0|~c_GCD_Ogcd__class_Ogcd(X1,X0,tc_nat)=X1)),
% 43.85/5.90 inference(resolution,[status(thm)],[f827,f1431])).
% 43.85/5.90 fof(f14394,plain,(
% 43.85/5.90 spl0_433 <=> ~c_Ring__and__Field_Odvd__class_Odvd(X0,X0,tc_nat)|X0=X0),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f14397,plain,(
% 43.85/5.90 ![X0]: (~c_Ring__and__Field_Odvd__class_Odvd(X0,X0,tc_nat)|X0=X0|~class_Ring__and__Field_Ocomm__semiring__1(tc_nat))),
% 43.85/5.90 inference(resolution,[status(thm)],[f827,f864])).
% 43.85/5.90 fof(f14398,plain,(
% 43.85/5.90 spl0_433|~spl0_161),
% 43.85/5.90 inference(split_clause,[status(thm)],[f14397,f14394,f4395])).
% 43.85/5.90 fof(f14400,plain,(
% 43.85/5.90 spl0_434 <=> c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f14403,plain,(
% 43.85/5.90 ![X0]: (~class_Power_Opower(tc_nat)|c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))),
% 43.85/5.90 inference(resolution,[status(thm)],[f761,f1698])).
% 43.85/5.90 fof(f14404,plain,(
% 43.85/5.90 ~spl0_130|spl0_434),
% 43.85/5.90 inference(split_clause,[status(thm)],[f14403,f3686,f14400])).
% 43.85/5.90 fof(f14405,plain,(
% 43.85/5.90 ![X0,X1]: (~class_Power_Opower(X0)|c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0)=c_HOL_Ozero__class_Ozero(X0)|~class_Ring__and__Field_Ofield(X0))),
% 43.85/5.90 inference(resolution,[status(thm)],[f761,f1676])).
% 43.85/5.90 fof(f14406,plain,(
% 43.85/5.90 ![X0,X1]: (c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0)=c_HOL_Ozero__class_Ozero(X0)|~class_Ring__and__Field_Ofield(X0))),
% 43.85/5.90 inference(forward_subsumption_resolution,[status(thm)],[f14405,f1684])).
% 43.85/5.90 fof(f14407,plain,(
% 43.85/5.90 $false|spl0_130),
% 43.85/5.90 inference(forward_subsumption_resolution,[status(thm)],[f3688,f1707])).
% 43.85/5.90 fof(f14408,plain,(
% 43.85/5.90 spl0_130),
% 43.85/5.90 inference(contradiction_clause,[status(thm)],[f14407])).
% 43.85/5.90 fof(f14409,plain,(
% 43.85/5.90 spl0_435 <=> c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)|~c_lessequals(X0,X2,tc_nat)|~c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f14410,plain,(
% 43.85/5.90 ![X0,X1,X2]: (c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)|~c_lessequals(X0,X2,tc_nat)|~c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~spl0_435)),
% 43.85/5.90 inference(component_clause,[status(thm)],[f14409])).
% 43.85/5.90 fof(f14412,plain,(
% 43.85/5.90 ![X0,X1,X2]: (~class_OrderedGroup_Ocomm__monoid__add(tc_nat)|c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)|~c_lessequals(X0,X2,tc_nat)|~c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))),
% 43.85/5.90 inference(resolution,[status(thm)],[f768,f1686])).
% 43.85/5.90 fof(f14413,plain,(
% 43.85/5.90 ~spl0_174|spl0_435),
% 43.85/5.90 inference(split_clause,[status(thm)],[f14412,f5190,f14409])).
% 43.85/5.90 fof(f14414,plain,(
% 43.85/5.90 ![X0,X1,X2]: (c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)|~c_lessequals(X0,X2,tc_nat)|~spl0_435)),
% 43.85/5.90 inference(forward_subsumption_resolution,[status(thm)],[f14410,f1311])).
% 43.85/5.90 fof(f14415,plain,(
% 43.85/5.90 spl0_436 <=> c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)|~c_lessequals(X0,X1,tc_nat)|~c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f14416,plain,(
% 43.85/5.90 ![X0,X1,X2]: (c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)|~c_lessequals(X0,X1,tc_nat)|~c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)|~spl0_436)),
% 43.85/5.90 inference(component_clause,[status(thm)],[f14415])).
% 43.85/5.90 fof(f14418,plain,(
% 43.85/5.90 ![X0,X1,X2]: (~class_OrderedGroup_Ocomm__monoid__add(tc_nat)|c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)|~c_lessequals(X0,X1,tc_nat)|~c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat))),
% 43.85/5.90 inference(resolution,[status(thm)],[f770,f1686])).
% 43.85/5.90 fof(f14419,plain,(
% 43.85/5.90 ~spl0_174|spl0_436),
% 43.85/5.90 inference(split_clause,[status(thm)],[f14418,f5190,f14415])).
% 43.85/5.90 fof(f14420,plain,(
% 43.85/5.90 ![X0,X1,X2]: (c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)|~c_lessequals(X0,X1,tc_nat)|~spl0_436)),
% 43.85/5.90 inference(forward_subsumption_resolution,[status(thm)],[f14416,f1311])).
% 43.85/5.90 fof(f14423,plain,(
% 43.85/5.90 ![X0]: (~c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X0,t_a),X0,t_a)=c_HOL_Oone__class_Oone(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_383|~spl0_36)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f11229,f12888])).
% 43.85/5.90 fof(f14424,plain,(
% 43.85/5.90 ![X0]: (~c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X0,t_a),X0,t_a)=c_HOL_Oone__class_Oone(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_383|~spl0_36)),
% 43.85/5.90 inference(duplicate_literals_removal,[status(esa)],[f14423])).
% 43.85/5.90 fof(f14433,plain,(
% 43.85/5.90 spl0_437 <=> c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),t_a)=c_HOL_Oone__class_Oone(t_a)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f14436,plain,(
% 43.85/5.90 ~c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),t_a)=c_HOL_Oone__class_Oone(t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_383),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f1758,f12888])).
% 43.85/5.90 fof(f14437,plain,(
% 43.85/5.90 ~spl0_437|spl0_5|~spl0_383),
% 43.85/5.90 inference(split_clause,[status(thm)],[f14436,f14433,f1775,f12887])).
% 43.85/5.90 fof(f14508,plain,(
% 43.85/5.90 spl0_439 <=> c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)),X1,tc_nat),t_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(t_a),c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)),t_a),t_a)|c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat))=X1),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f14511,plain,(
% 43.85/5.90 ![X0,X1]: (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)),X1,tc_nat),t_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(t_a),c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)),t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat))=X1|~spl0_175)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f12707,f8396])).
% 43.85/5.90 fof(f14512,plain,(
% 43.85/5.90 spl0_439|spl0_5|~spl0_175),
% 43.85/5.90 inference(split_clause,[status(thm)],[f14511,f14508,f1775,f5193])).
% 43.85/5.90 fof(f14513,plain,(
% 43.85/5.90 spl0_440 <=> c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)),X1,tc_nat),t_a)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(t_a),X1,t_a),c_HOL_Oone__class_Oone(t_a),t_a)|c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat))=X1),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f14516,plain,(
% 43.85/5.90 ![X0,X1]: (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)),X1,tc_nat),t_a)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(t_a),X1,t_a),c_HOL_Oone__class_Oone(t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat))=X1|~spl0_175)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f12707,f8396])).
% 43.85/5.90 fof(f14517,plain,(
% 43.85/5.90 spl0_440|spl0_5|~spl0_175),
% 43.85/5.90 inference(split_clause,[status(thm)],[f14516,f14513,f1775,f5193])).
% 43.85/5.90 fof(f14555,plain,(
% 43.85/5.90 spl0_441 <=> c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Oone__class_Oone(tc_nat)),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f14558,plain,(
% 43.85/5.90 spl0_442 <=> c_HOL_Ozero__class_Ozero(tc_nat)=c_Suc(c_HOL_Oone__class_Oone(tc_nat))),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f14559,plain,(
% 43.85/5.90 c_HOL_Ozero__class_Ozero(tc_nat)=c_Suc(c_HOL_Oone__class_Oone(tc_nat))|~spl0_442),
% 43.85/5.90 inference(component_clause,[status(thm)],[f14558])).
% 43.85/5.90 fof(f14561,plain,(
% 43.85/5.90 c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Oone__class_Oone(tc_nat)),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Ozero__class_Ozero(tc_nat)=c_Suc(c_HOL_Oone__class_Oone(tc_nat))|spl0_431),
% 43.85/5.90 inference(resolution,[status(thm)],[f14244,f10765])).
% 43.85/5.90 fof(f14562,plain,(
% 43.85/5.90 spl0_441|spl0_442|spl0_431),
% 43.85/5.90 inference(split_clause,[status(thm)],[f14561,f14555,f14558,f14242])).
% 43.85/5.90 fof(f14563,plain,(
% 43.85/5.90 spl0_443 <=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_Suc(c_HOL_Oone__class_Oone(tc_nat)),tc_nat),tc_nat)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f14566,plain,(
% 43.85/5.90 ![X0]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,c_Suc(c_HOL_Oone__class_Oone(tc_nat)),tc_nat),tc_nat)|c_HOL_Ozero__class_Ozero(tc_nat)=c_Suc(c_HOL_Oone__class_Oone(tc_nat))|spl0_431|~spl0_175)),
% 43.85/5.90 inference(resolution,[status(thm)],[f14244,f5707])).
% 43.85/5.90 fof(f14567,plain,(
% 43.85/5.90 spl0_443|spl0_442|spl0_431|~spl0_175),
% 43.85/5.90 inference(split_clause,[status(thm)],[f14566,f14563,f14558,f14242,f5193])).
% 43.85/5.90 fof(f14573,plain,(
% 43.85/5.90 $false|spl0_432),
% 43.85/5.90 inference(trivial_equality_resolution,[status(esa)],[f14327])).
% 43.85/5.90 fof(f14574,plain,(
% 43.85/5.90 spl0_432),
% 43.85/5.90 inference(contradiction_clause,[status(thm)],[f14573])).
% 43.85/5.90 fof(f14575,plain,(
% 43.85/5.90 c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_6|~spl0_232),
% 43.85/5.90 inference(forward_demodulation,[status(thm)],[f1779,f9922])).
% 43.85/5.90 fof(f14576,plain,(
% 43.85/5.90 $false|spl0_5|~spl0_6|~spl0_232),
% 43.85/5.90 inference(forward_subsumption_resolution,[status(thm)],[f14575,f1777])).
% 43.85/5.90 fof(f14577,plain,(
% 43.85/5.90 spl0_5|~spl0_6|~spl0_232),
% 43.85/5.90 inference(contradiction_clause,[status(thm)],[f14576])).
% 43.85/5.90 fof(f14578,plain,(
% 43.85/5.90 ![X0]: (c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Oinverse__class_Oinverse(X0,t_a)|~spl0_186)),
% 43.85/5.90 inference(forward_demodulation,[status(thm)],[f1752,f6532])).
% 43.85/5.90 fof(f14581,plain,(
% 43.85/5.90 c_HOL_Ozero__class_Ozero(tc_nat)=c_Suc(c_HOL_Oone__class_Oone(tc_nat))|~spl0_198),
% 43.85/5.90 inference(forward_demodulation,[status(thm)],[f12796,f7339])).
% 43.85/5.90 fof(f14582,plain,(
% 43.85/5.90 $false|~spl0_198),
% 43.85/5.90 inference(forward_subsumption_resolution,[status(thm)],[f14581,f762])).
% 43.85/5.90 fof(f14583,plain,(
% 43.85/5.90 ~spl0_198),
% 43.85/5.90 inference(contradiction_clause,[status(thm)],[f14582])).
% 43.85/5.90 fof(f14584,plain,(
% 43.85/5.90 $false|~spl0_442),
% 43.85/5.90 inference(forward_subsumption_resolution,[status(thm)],[f14559,f762])).
% 43.85/5.90 fof(f14585,plain,(
% 43.85/5.90 ~spl0_442),
% 43.85/5.90 inference(contradiction_clause,[status(thm)],[f14584])).
% 43.85/5.90 fof(f14643,plain,(
% 43.85/5.90 spl0_444 <=> c_HOL_Ozero__class_Ozero(tc_nat)=X1|c_HOL_Ozero__class_Ozero(tc_nat)=X1),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f14644,plain,(
% 43.85/5.90 ![X0]: (c_HOL_Ozero__class_Ozero(tc_nat)=X0|c_HOL_Ozero__class_Ozero(tc_nat)=X0|~spl0_444)),
% 43.85/5.90 inference(component_clause,[status(thm)],[f14643])).
% 43.85/5.90 fof(f14666,plain,(
% 43.85/5.90 spl0_445 <=> ~c_HOL_Oord__class_Oless(X0,X0,tc_nat)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f14671,plain,(
% 43.85/5.90 spl0_446 <=> c_HOL_Ominus__class_Ominus(X0,X0,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f14674,plain,(
% 43.85/5.90 ![X0,X1]: (c_HOL_Ominus__class_Ominus(X0,X0,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Ozero__class_Ozero(tc_nat)=X1|~spl0_175)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f13126,f6460])).
% 43.85/5.90 fof(f14675,plain,(
% 43.85/5.90 spl0_446|spl0_9|~spl0_175),
% 43.85/5.90 inference(split_clause,[status(thm)],[f14674,f14671,f1846,f5193])).
% 43.85/5.90 fof(f14676,plain,(
% 43.85/5.90 spl0_447 <=> c_lessequals(X0,X0,tc_nat)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f14679,plain,(
% 43.85/5.90 ![X0,X1]: (c_lessequals(X0,X0,tc_nat)|c_HOL_Ozero__class_Ozero(tc_nat)=X1|~spl0_175)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f13126,f1314])).
% 43.85/5.90 fof(f14680,plain,(
% 43.85/5.90 spl0_447|spl0_9|~spl0_175),
% 43.85/5.90 inference(split_clause,[status(thm)],[f14679,f14676,f1846,f5193])).
% 43.85/5.90 fof(f14682,plain,(
% 43.85/5.90 spl0_448 <=> ~c_Suc(X0)=c_Suc(X0)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f14683,plain,(
% 43.85/5.90 ![X0]: (~c_Suc(X0)=c_Suc(X0)|~spl0_448)),
% 43.85/5.90 inference(component_clause,[status(thm)],[f14682])).
% 43.85/5.90 fof(f14739,plain,(
% 43.85/5.90 ![X0,X1]: (~c_lessequals(c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)),X1,tc_nat)|~spl0_435)),
% 43.85/5.90 inference(resolution,[status(thm)],[f14414,f3664])).
% 43.85/5.90 fof(f14740,plain,(
% 43.85/5.90 ![X0,X1,X2]: (~c_lessequals(X0,X1,tc_nat)|c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)|~spl0_435)),
% 43.85/5.90 inference(resolution,[status(thm)],[f14414,f1567])).
% 43.85/5.90 fof(f14749,plain,(
% 43.85/5.90 ![X0,X1,X2,X3]: (~c_lessequals(X0,X1,tc_nat)|c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X2,t_a),c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),X0,tc_nat),t_a)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X2,X0,t_a),c_Power_Opower__class_Opower(X2,c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),t_a),t_a)|X2=c_HOL_Ozero__class_Ozero(t_a)|~spl0_435)),
% 43.85/5.90 inference(resolution,[status(thm)],[f14414,f7157])).
% 43.85/5.90 fof(f14757,plain,(
% 43.85/5.90 ![X0,X1]: (c_lessequals(X0,X1,tc_nat)|~c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)|~spl0_435)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f1742,f14414])).
% 43.85/5.90 fof(f14764,plain,(
% 43.85/5.90 ![X0,X1]: (~c_lessequals(c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)),X0,tc_nat)|~spl0_436)),
% 43.85/5.90 inference(resolution,[status(thm)],[f14420,f3664])).
% 43.85/5.90 fof(f14765,plain,(
% 43.85/5.90 ![X0,X1,X2]: (~c_lessequals(X0,X1,tc_nat)|c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat)|~spl0_436)),
% 43.85/5.90 inference(resolution,[status(thm)],[f14420,f1567])).
% 43.85/5.90 fof(f14780,plain,(
% 43.85/5.90 ![X0,X1]: (c_lessequals(X0,c_Suc(X1),tc_nat)|~c_lessequals(X0,X1,tc_nat)|~spl0_436)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f5842,f14420])).
% 43.85/5.90 fof(f14799,plain,(
% 43.85/5.90 ![X0]: (~c_lessequals(c_Suc(X0),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)|~spl0_435)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f1742,f14739])).
% 43.85/5.90 fof(f14826,plain,(
% 43.85/5.90 ![X0]: (~c_lessequals(c_Suc(c_Suc(X0)),X0,tc_nat)|~spl0_436)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f5842,f14764])).
% 43.85/5.90 fof(f14831,plain,(
% 43.85/5.90 ![X0,X1]: (~c_lessequals(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat))),X0,tc_nat)|~spl0_436)),
% 43.85/5.90 inference(resolution,[status(thm)],[f14826,f14420])).
% 43.85/5.90 fof(f14832,plain,(
% 43.85/5.90 ![X0,X1]: (~c_lessequals(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat))),X1,tc_nat)|~spl0_436|~spl0_435)),
% 43.85/5.90 inference(resolution,[status(thm)],[f14826,f14414])).
% 43.85/5.90 fof(f14844,plain,(
% 43.85/5.90 ![X0,X1]: (~c_lessequals(c_Suc(c_HOL_Oplus__class_Oplus(X0,c_Suc(X1),tc_nat)),X1,tc_nat)|~spl0_436|~spl0_435)),
% 43.85/5.90 inference(resolution,[status(thm)],[f14780,f14739])).
% 43.85/5.90 fof(f14845,plain,(
% 43.85/5.90 ![X0]: (~c_lessequals(c_Suc(c_Suc(c_Suc(X0))),X0,tc_nat)|~spl0_436)),
% 43.85/5.90 inference(resolution,[status(thm)],[f14780,f14826])).
% 43.85/5.90 fof(f14852,plain,(
% 43.85/5.90 ![X0,X1]: (~c_lessequals(X0,X1,tc_nat)|~c_HOL_Oord__class_Oless(c_Suc(X1),X0,tc_nat)|~spl0_436)),
% 43.85/5.90 inference(resolution,[status(thm)],[f14780,f8203])).
% 43.85/5.90 fof(f14861,plain,(
% 43.85/5.90 ![X0]: (~c_lessequals(c_Suc(c_Suc(c_Suc(c_Suc(X0)))),X0,tc_nat)|~spl0_436)),
% 43.85/5.90 inference(resolution,[status(thm)],[f14845,f14780])).
% 43.85/5.90 fof(f14882,plain,(
% 43.85/5.90 ![X0,X1]: (~c_HOL_Oord__class_Oless(c_Suc(X0),c_Divides_Odiv__class_Omod(X0,X1,tc_nat),tc_nat)|~spl0_436)),
% 43.85/5.90 inference(resolution,[status(thm)],[f14852,f1314])).
% 43.85/5.90 fof(f14902,plain,(
% 43.85/5.90 ![X0,X1]: (~c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)|c_lessequals(X0,X1,tc_nat)|~spl0_436)),
% 43.85/5.90 inference(resolution,[status(thm)],[f14852,f1604])).
% 43.85/5.90 fof(f14908,plain,(
% 43.85/5.90 ![X0,X1]: (c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),c_Suc(X0),tc_nat)|~spl0_436|~spl0_175)),
% 43.85/5.90 inference(resolution,[status(thm)],[f14882,f7344])).
% 43.85/5.90 fof(f14922,plain,(
% 43.85/5.90 spl0_450 <=> ~c_HOL_Oord__class_Oless(c_Suc(X0),X0,tc_nat)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f15110,plain,(
% 43.85/5.90 ![X0,X1,X2]: (c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)|c_lessequals(X1,X0,tc_nat)|~spl0_435)),
% 43.85/5.90 inference(resolution,[status(thm)],[f14740,f1604])).
% 43.85/5.90 fof(f15160,plain,(
% 43.85/5.90 ![X0,X1]: (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,t_a),c_HOL_Oplus__class_Oplus(X1,X0,t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a))),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f5855,f12024])).
% 43.85/5.90 fof(f15325,plain,(
% 43.85/5.90 spl0_451 <=> c_HOL_Oplus__class_Oplus(X0,X1,t_a)=c_HOL_Oplus__class_Oplus(X1,X0,t_a)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f15328,plain,(
% 43.85/5.90 ![X0,X1]: (~c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oplus__class_Oplus(X0,X1,t_a)=c_HOL_Oplus__class_Oplus(X1,X0,t_a))),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f15160,f11099])).
% 43.85/5.90 fof(f15329,plain,(
% 43.85/5.90 ~spl0_7|spl0_451),
% 43.85/5.90 inference(split_clause,[status(thm)],[f15328,f1783,f15325])).
% 43.85/5.90 fof(f15879,plain,(
% 43.85/5.90 ![X0,X1]: (c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),c_Suc(X0),tc_nat))),
% 43.85/5.90 inference(resolution,[status(thm)],[f1168,f1314])).
% 43.85/5.90 fof(f15914,plain,(
% 43.85/5.90 spl0_452 <=> c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f15917,plain,(
% 43.85/5.90 ![X0,X1]: (c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat)|c_HOL_Ozero__class_Ozero(tc_nat)=X1|~spl0_175)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f13127,f15879])).
% 43.85/5.90 fof(f15918,plain,(
% 43.85/5.90 spl0_452|spl0_9|~spl0_175),
% 43.85/5.90 inference(split_clause,[status(thm)],[f15917,f15914,f1846,f5193])).
% 43.85/5.90 fof(f15945,plain,(
% 43.85/5.90 ![X0]: (~c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)|~spl0_435)),
% 43.85/5.90 inference(resolution,[status(thm)],[f1169,f14799])).
% 43.85/5.90 fof(f15946,plain,(
% 43.85/5.90 ![X0]: (~c_HOL_Oord__class_Oless(c_Suc(X0),c_HOL_Oone__class_Oone(tc_nat),tc_nat)|~spl0_435)),
% 43.85/5.90 inference(forward_demodulation,[status(thm)],[f12796,f15945])).
% 43.85/5.90 fof(f15951,plain,(
% 43.85/5.90 ![X0]: (~c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)|X0=c_HOL_Ozero__class_Ozero(tc_nat))),
% 43.85/5.90 inference(resolution,[status(thm)],[f1169,f1298])).
% 43.85/5.90 fof(f15952,plain,(
% 43.85/5.90 ![X0]: (~c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)|X0=c_HOL_Ozero__class_Ozero(tc_nat))),
% 43.85/5.90 inference(forward_demodulation,[status(thm)],[f12796,f15951])).
% 43.85/5.90 fof(f16095,plain,(
% 43.85/5.90 spl0_453 <=> c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(t_a),t_a),t_a)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f16098,plain,(
% 43.85/5.90 ![X0]: (c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(t_a),t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f1728,f12000])).
% 43.85/5.90 fof(f16099,plain,(
% 43.85/5.90 spl0_453|spl0_5|~spl0_36),
% 43.85/5.90 inference(split_clause,[status(thm)],[f16098,f16095,f1775,f2228])).
% 43.85/5.90 fof(f16142,plain,(
% 43.85/5.90 spl0_454 <=> c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X1,t_a),X1,t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f16145,plain,(
% 43.85/5.90 ![X0,X1]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X1,t_a),X1,t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f12000,f11229])).
% 43.85/5.90 fof(f16146,plain,(
% 43.85/5.90 spl0_454|spl0_5|~spl0_36),
% 43.85/5.90 inference(split_clause,[status(thm)],[f16145,f16142,f1775,f2228])).
% 43.85/5.90 fof(f16167,plain,(
% 43.85/5.90 spl0_455 <=> c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),X0,t_a),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(t_a),t_a),t_a)=c_HOL_Oone__class_Oone(t_a)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f16170,plain,(
% 43.85/5.90 ![X0]: (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),X0,t_a),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(t_a),t_a),t_a)=c_HOL_Oone__class_Oone(t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f1728,f12016])).
% 43.85/5.90 fof(f16171,plain,(
% 43.85/5.90 spl0_455|spl0_5|~spl0_36),
% 43.85/5.90 inference(split_clause,[status(thm)],[f16170,f16167,f1775,f2228])).
% 43.85/5.90 fof(f16172,plain,(
% 43.85/5.90 spl0_456 <=> c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,t_a),c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X1,t_a),X1,t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a)=c_HOL_Oone__class_Oone(t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f16175,plain,(
% 43.85/5.90 ![X0,X1]: (c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,t_a),c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X1,t_a),X1,t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a)=c_HOL_Oone__class_Oone(t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f12000,f12016])).
% 43.85/5.90 fof(f16176,plain,(
% 43.85/5.90 spl0_456|spl0_5|~spl0_36),
% 43.85/5.90 inference(split_clause,[status(thm)],[f16175,f16172,f1775,f2228])).
% 43.85/5.90 fof(f16177,plain,(
% 43.85/5.90 spl0_457 <=> c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,t_a),X0,t_a),c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X1,X0,t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a)=c_HOL_Oone__class_Oone(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f16180,plain,(
% 43.85/5.90 ![X0,X1]: (c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,t_a),X0,t_a),c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X1,X0,t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a)=c_HOL_Oone__class_Oone(t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f11229,f12016])).
% 43.85/5.90 fof(f16181,plain,(
% 43.85/5.90 spl0_457|spl0_5|~spl0_36),
% 43.85/5.90 inference(split_clause,[status(thm)],[f16180,f16177,f1775,f2228])).
% 43.85/5.90 fof(f16182,plain,(
% 43.85/5.90 spl0_458 <=> c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,t_a),X1,t_a),c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a)=c_HOL_Oone__class_Oone(t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f16185,plain,(
% 43.85/5.90 ![X0,X1]: (c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,t_a),X1,t_a),c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a)=c_HOL_Oone__class_Oone(t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f5994,f12016])).
% 43.85/5.90 fof(f16186,plain,(
% 43.85/5.90 spl0_458|spl0_5|~spl0_36),
% 43.85/5.90 inference(split_clause,[status(thm)],[f16185,f16182,f1775,f2228])).
% 43.85/5.90 fof(f16191,plain,(
% 43.85/5.90 spl0_459 <=> c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(t_a),t_a),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(t_a),t_a),t_a)=c_HOL_Oone__class_Oone(t_a)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f16192,plain,(
% 43.85/5.90 ![X0]: (c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(t_a),t_a),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(t_a),t_a),t_a)=c_HOL_Oone__class_Oone(t_a)|~spl0_459)),
% 43.85/5.90 inference(component_clause,[status(thm)],[f16191])).
% 43.85/5.90 fof(f16234,plain,(
% 43.85/5.90 spl0_460 <=> c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),X0,t_a),c_HOL_Oone__class_Oone(t_a),t_a),X0,t_a)=c_HOL_Oone__class_Oone(t_a)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f16237,plain,(
% 43.85/5.90 ![X0]: (c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),X0,t_a),c_HOL_Oone__class_Oone(t_a),t_a),X0,t_a)=c_HOL_Oone__class_Oone(t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f1728,f12016])).
% 43.85/5.90 fof(f16238,plain,(
% 43.85/5.90 spl0_460|spl0_5|~spl0_36),
% 43.85/5.90 inference(split_clause,[status(thm)],[f16237,f16234,f1775,f2228])).
% 43.85/5.90 fof(f16243,plain,(
% 43.85/5.90 ![X0]: (c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X0,t_a),X0,t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oone__class_Oone(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f1774,f12016])).
% 43.85/5.90 fof(f16244,plain,(
% 43.85/5.90 ![X0]: (c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X0,t_a),X0,t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oone__class_Oone(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.90 inference(duplicate_literals_removal,[status(esa)],[f16243])).
% 43.85/5.90 fof(f16272,plain,(
% 43.85/5.90 spl0_462 <=> c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oone__class_Oone(t_a)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f16275,plain,(
% 43.85/5.90 ![X0]: (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oone__class_Oone(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f6001,f16244])).
% 43.85/5.90 fof(f16276,plain,(
% 43.85/5.90 spl0_462|spl0_13|~spl0_36),
% 43.85/5.90 inference(split_clause,[status(thm)],[f16275,f16272,f1931,f2228])).
% 43.85/5.90 fof(f16301,plain,(
% 43.85/5.90 spl0_464 <=> c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X0,t_a),X0,t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f16304,plain,(
% 43.85/5.90 ![X0]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X0,t_a),X0,t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f16244,f12000])).
% 43.85/5.90 fof(f16305,plain,(
% 43.85/5.90 spl0_464|spl0_5|~spl0_36),
% 43.85/5.90 inference(split_clause,[status(thm)],[f16304,f16301,f1775,f2228])).
% 43.85/5.90 fof(f16310,plain,(
% 43.85/5.90 spl0_465 <=> c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X0,t_a),X0,t_a)=c_HOL_Oone__class_Oone(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f16311,plain,(
% 43.85/5.90 ![X0]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X0,t_a),X0,t_a)=c_HOL_Oone__class_Oone(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_465)),
% 43.85/5.90 inference(component_clause,[status(thm)],[f16310])).
% 43.85/5.90 fof(f16325,plain,(
% 43.85/5.90 spl0_466 <=> c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(t_a),t_a),t_a)=c_HOL_Oone__class_Oone(t_a)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f16328,plain,(
% 43.85/5.90 ![X0]: (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(t_a),t_a),t_a)=c_HOL_Oone__class_Oone(t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f1728,f12017])).
% 43.85/5.90 fof(f16329,plain,(
% 43.85/5.90 spl0_466|spl0_5|~spl0_36),
% 43.85/5.90 inference(split_clause,[status(thm)],[f16328,f16325,f1775,f2228])).
% 43.85/5.90 fof(f16382,plain,(
% 43.85/5.90 spl0_467 <=> c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a),X0,t_a)=c_HOL_Oone__class_Oone(t_a)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f16385,plain,(
% 43.85/5.90 ![X0]: (c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a),X0,t_a)=c_HOL_Oone__class_Oone(t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f1728,f12017])).
% 43.85/5.90 fof(f16386,plain,(
% 43.85/5.90 spl0_467|spl0_5|~spl0_36),
% 43.85/5.90 inference(split_clause,[status(thm)],[f16385,f16382,f1775,f2228])).
% 43.85/5.90 fof(f16412,plain,(
% 43.85/5.90 ![X0,X1,X2,X3]: (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,t_a),c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_Suc(X3),tc_nat),t_a)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,c_Suc(X3),t_a),c_Power_Opower__class_Opower(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~c_HOL_Oord__class_Oless(X3,X2,tc_nat)|~spl0_435)),
% 43.85/5.90 inference(resolution,[status(thm)],[f14749,f772])).
% 43.85/5.90 fof(f16448,plain,(
% 43.85/5.90 ![X0]: (c_Suc(X0)=c_HOL_Oone__class_Oone(tc_nat)|~c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)|~spl0_435)),
% 43.85/5.90 inference(resolution,[status(thm)],[f15946,f730])).
% 43.85/5.90 fof(f16452,plain,(
% 43.85/5.90 ![X0]: (c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_nat),c_Suc(X0),tc_nat)|~spl0_435|~spl0_175)),
% 43.85/5.90 inference(resolution,[status(thm)],[f15946,f7344])).
% 43.85/5.90 fof(f16465,plain,(
% 43.85/5.90 ![X0,X1]: (c_lessequals(X0,X1,tc_nat)|~c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)|~spl0_435)),
% 43.85/5.90 inference(resolution,[status(thm)],[f14757,f1169])).
% 43.85/5.90 fof(f16466,plain,(
% 43.85/5.90 ![X0,X1]: (c_lessequals(X0,X1,tc_nat)|~c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)|~spl0_435)),
% 43.85/5.90 inference(forward_demodulation,[status(thm)],[f12796,f16465])).
% 43.85/5.90 fof(f16469,plain,(
% 43.85/5.90 ![X0,X1]: (c_lessequals(X0,X1,tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)|~spl0_435)),
% 43.85/5.90 inference(resolution,[status(thm)],[f14757,f9822])).
% 43.85/5.90 fof(f16678,plain,(
% 43.85/5.90 spl0_477 <=> ~c_HOL_Ominus__class_Ominus(c_Suc(X0),c_HOL_Oone__class_Oone(tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Oone__class_Oone(tc_nat)=c_Suc(X0)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f16681,plain,(
% 43.85/5.90 ![X0]: (~c_HOL_Ominus__class_Ominus(c_Suc(X0),c_HOL_Oone__class_Oone(tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Oone__class_Oone(tc_nat)=c_Suc(X0)|~spl0_435|~spl0_175)),
% 43.85/5.90 inference(paramodulation,[status(thm)],[f16452,f1328])).
% 43.85/5.90 fof(f16682,plain,(
% 43.85/5.90 spl0_477|~spl0_11|~spl0_435|~spl0_175),
% 43.85/5.90 inference(split_clause,[status(thm)],[f16681,f16678,f1854,f14409,f5193])).
% 43.85/5.90 fof(f16758,plain,(
% 43.85/5.90 spl0_478 <=> c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f16766,plain,(
% 43.85/5.90 ![X0]: (c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)|c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Oone__class_Oone(tc_nat)|~spl0_435|~spl0_175)),
% 43.85/5.90 inference(resolution,[status(thm)],[f16466,f7326])).
% 43.85/5.90 fof(f16767,plain,(
% 43.85/5.90 spl0_478|spl0_208|~spl0_435|~spl0_175),
% 43.85/5.90 inference(split_clause,[status(thm)],[f16766,f16758,f8354,f14409,f5193])).
% 43.85/5.90 fof(f16783,plain,(
% 43.85/5.90 spl0_480 <=> c_lessequals(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.90 fof(f16784,plain,(
% 43.85/5.90 ![X0]: (c_lessequals(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)|~spl0_480)),
% 43.85/5.90 inference(component_clause,[status(thm)],[f16783])).
% 43.85/5.90 fof(f17056,plain,(
% 43.85/5.90 spl0_481 <=> class_Ring__and__Field_Ocomm__semiring__1(t_a)),
% 43.85/5.90 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f17058,plain,(
% 43.85/5.91 ~class_Ring__and__Field_Ocomm__semiring__1(t_a)|spl0_481),
% 43.85/5.91 inference(component_clause,[status(thm)],[f17056])).
% 43.85/5.91 fof(f17545,plain,(
% 43.85/5.91 ![X0,X1]: (~c_lessequals(c_HOL_Oplus__class_Oplus(X0,c_Suc(X1),tc_nat),X1,tc_nat))),
% 43.85/5.91 inference(resolution,[status(thm)],[f1313,f1734])).
% 43.85/5.91 fof(f17574,plain,(
% 43.85/5.91 ![X0,X1]: (~c_lessequals(c_HOL_Oplus__class_Oplus(X0,c_Suc(c_Suc(X1)),tc_nat),X1,tc_nat)|~spl0_436)),
% 43.85/5.91 inference(resolution,[status(thm)],[f17545,f14780])).
% 43.85/5.91 fof(f17590,plain,(
% 43.85/5.91 ![X0,X1]: (~c_HOL_Oinverse__class_Oinverse(X0,X1)=c_HOL_Ozero__class_Ozero(X1)|X0=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1))),
% 43.85/5.91 inference(resolution,[status(thm)],[f1417,f1671])).
% 43.85/5.91 fof(f17591,plain,(
% 43.85/5.91 ![X0]: (c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),t_a)=c_HOL_Oone__class_Oone(t_a))),
% 43.85/5.91 inference(resolution,[status(thm)],[f1523,f2565])).
% 43.85/5.91 fof(f17593,plain,(
% 43.85/5.91 ![X0,X1]: (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,t_a),c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),t_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_Power_Opower__class_Opower(X0,c_Suc(c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|c_Suc(c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_175)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f17591,f8396])).
% 43.85/5.91 fof(f17594,plain,(
% 43.85/5.91 ![X0,X1]: (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,t_a),c_Suc(c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),t_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_Power_Opower__class_Opower(X0,c_Suc(c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|c_Suc(c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_175)),
% 43.85/5.91 inference(forward_demodulation,[status(thm)],[f1332,f17593])).
% 43.85/5.91 fof(f17595,plain,(
% 43.85/5.91 ![X0,X1]: (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,t_a),c_Suc(X1),t_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_Power_Opower__class_Opower(X0,c_Suc(c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|c_Suc(c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_175)),
% 43.85/5.91 inference(forward_demodulation,[status(thm)],[f1742,f17594])).
% 43.85/5.91 fof(f17596,plain,(
% 43.85/5.91 ![X0,X1]: (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,t_a),c_Suc(X1),t_a)=c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X0,c_Suc(c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|c_Suc(c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_175)),
% 43.85/5.91 inference(forward_demodulation,[status(thm)],[f1758,f17595])).
% 43.85/5.91 fof(f17597,plain,(
% 43.85/5.91 ![X0,X1]: (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,t_a),c_Suc(X1),t_a)=c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X0,c_Suc(X1),t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|c_Suc(c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_175)),
% 43.85/5.91 inference(forward_demodulation,[status(thm)],[f1742,f17596])).
% 43.85/5.91 fof(f17598,plain,(
% 43.85/5.91 ![X0,X1]: (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,t_a),c_Suc(X1),t_a)=c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X0,c_Suc(X1),t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|c_Suc(X1)=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_175)),
% 43.85/5.91 inference(forward_demodulation,[status(thm)],[f1742,f17597])).
% 43.85/5.91 fof(f17599,plain,(
% 43.85/5.91 ![X0,X1]: (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,t_a),c_Suc(X1),t_a)=c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X0,c_Suc(X1),t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_175)),
% 43.85/5.91 inference(forward_subsumption_resolution,[status(thm)],[f17598,f762])).
% 43.85/5.91 fof(f17627,plain,(
% 43.85/5.91 spl0_482 <=> c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),c_Suc(X0),t_a)=c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f17630,plain,(
% 43.85/5.91 ![X0]: (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),c_Suc(X0),t_a)=c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_175)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f12707,f17599])).
% 43.85/5.91 fof(f17631,plain,(
% 43.85/5.91 spl0_482|spl0_5|~spl0_175),
% 43.85/5.91 inference(split_clause,[status(thm)],[f17630,f17627,f1775,f5193])).
% 43.85/5.91 fof(f17650,plain,(
% 43.85/5.91 spl0_483 <=> c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),X0,t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(t_a),t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f17653,plain,(
% 43.85/5.91 ![X0]: (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),X0,t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f1728,f12049])).
% 43.85/5.91 fof(f17654,plain,(
% 43.85/5.91 spl0_483|spl0_5|~spl0_36),
% 43.85/5.91 inference(split_clause,[status(thm)],[f17653,f17650,f1775,f2228])).
% 43.85/5.91 fof(f17655,plain,(
% 43.85/5.91 spl0_484 <=> c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,t_a),c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X1,t_a),X1,t_a),c_HOL_Oone__class_Oone(t_a),t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f17658,plain,(
% 43.85/5.91 ![X0,X1]: (c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,t_a),c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X1,t_a),X1,t_a),c_HOL_Oone__class_Oone(t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f12000,f12049])).
% 43.85/5.91 fof(f17659,plain,(
% 43.85/5.91 spl0_484|spl0_5|~spl0_36),
% 43.85/5.91 inference(split_clause,[status(thm)],[f17658,f17655,f1775,f2228])).
% 43.85/5.91 fof(f17660,plain,(
% 43.85/5.91 spl0_485 <=> c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,t_a),X0,t_a),c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X1,X0,t_a),c_HOL_Oone__class_Oone(t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f17663,plain,(
% 43.85/5.91 ![X0,X1]: (c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,t_a),X0,t_a),c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X1,X0,t_a),c_HOL_Oone__class_Oone(t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f11229,f12049])).
% 43.85/5.91 fof(f17664,plain,(
% 43.85/5.91 spl0_485|spl0_5|~spl0_36),
% 43.85/5.91 inference(split_clause,[status(thm)],[f17663,f17660,f1775,f2228])).
% 43.85/5.91 fof(f17665,plain,(
% 43.85/5.91 spl0_486 <=> c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,t_a),X1,t_a),c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,t_a),c_HOL_Oone__class_Oone(t_a),t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f17668,plain,(
% 43.85/5.91 ![X0,X1]: (c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,t_a),X1,t_a),c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,t_a),c_HOL_Oone__class_Oone(t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f5994,f12049])).
% 43.85/5.91 fof(f17669,plain,(
% 43.85/5.91 spl0_486|spl0_5|~spl0_36),
% 43.85/5.91 inference(split_clause,[status(thm)],[f17668,f17665,f1775,f2228])).
% 43.85/5.91 fof(f17674,plain,(
% 43.85/5.91 spl0_487 <=> c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(t_a),t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f17675,plain,(
% 43.85/5.91 ![X0]: (c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(t_a),t_a)|~spl0_487)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f17674])).
% 43.85/5.91 fof(f17691,plain,(
% 43.85/5.91 ![X0]: (c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X0,t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),X0,t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f5855,f12049])).
% 43.85/5.91 fof(f17692,plain,(
% 43.85/5.91 ![X0]: (c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X0,t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.91 inference(forward_demodulation,[status(thm)],[f1752,f17691])).
% 43.85/5.91 fof(f17715,plain,(
% 43.85/5.91 spl0_488 <=> c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f17716,plain,(
% 43.85/5.91 c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_488),
% 43.85/5.91 inference(component_clause,[status(thm)],[f17715])).
% 43.85/5.91 fof(f17720,plain,(
% 43.85/5.91 spl0_489 <=> c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f17723,plain,(
% 43.85/5.91 c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f1758,f17692])).
% 43.85/5.91 fof(f17724,plain,(
% 43.85/5.91 spl0_489|spl0_5|~spl0_36),
% 43.85/5.91 inference(split_clause,[status(thm)],[f17723,f17720,f1775,f2228])).
% 43.85/5.91 fof(f17725,plain,(
% 43.85/5.91 spl0_490 <=> c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f17728,plain,(
% 43.85/5.91 c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f1728,f17692])).
% 43.85/5.91 fof(f17729,plain,(
% 43.85/5.91 spl0_490|spl0_5|~spl0_36),
% 43.85/5.91 inference(split_clause,[status(thm)],[f17728,f17725,f1775,f2228])).
% 43.85/5.91 fof(f17730,plain,(
% 43.85/5.91 spl0_491 <=> c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X0,t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f17733,plain,(
% 43.85/5.91 ![X0,X1]: (c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X0,t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f2630,f17692])).
% 43.85/5.91 fof(f17734,plain,(
% 43.85/5.91 spl0_491|spl0_13|~spl0_36),
% 43.85/5.91 inference(split_clause,[status(thm)],[f17733,f17730,f1931,f2228])).
% 43.85/5.91 fof(f17739,plain,(
% 43.85/5.91 spl0_492 <=> c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X0,t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f17742,plain,(
% 43.85/5.91 ![X0]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X0,t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f17692,f12000])).
% 43.85/5.91 fof(f17743,plain,(
% 43.85/5.91 spl0_492|spl0_5|~spl0_36),
% 43.85/5.91 inference(split_clause,[status(thm)],[f17742,f17739,f1775,f2228])).
% 43.85/5.91 fof(f17744,plain,(
% 43.85/5.91 ![X0,X1]: (c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X1,X1,t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),X0,t_a),t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f17692,f12008])).
% 43.85/5.91 fof(f17745,plain,(
% 43.85/5.91 ![X0,X1]: (c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X1,X1,t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a),t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.91 inference(forward_demodulation,[status(thm)],[f4282,f17744])).
% 43.85/5.91 fof(f17746,plain,(
% 43.85/5.91 ![X0,X1]: (c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X1,X1,t_a),t_a)=c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.91 inference(forward_demodulation,[status(thm)],[f5899,f17745])).
% 43.85/5.91 fof(f17772,plain,(
% 43.85/5.91 spl0_493 <=> c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f17775,plain,(
% 43.85/5.91 ![X0,X1]: (c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f17746,f17746])).
% 43.85/5.91 fof(f17776,plain,(
% 43.85/5.91 spl0_493|spl0_13|~spl0_36),
% 43.85/5.91 inference(split_clause,[status(thm)],[f17775,f17772,f1931,f2228])).
% 43.85/5.91 fof(f17777,plain,(
% 43.85/5.91 ![X0,X1]: (c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X0,t_a),X1,t_a)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f5884,f17746])).
% 43.85/5.91 fof(f17783,plain,(
% 43.85/5.91 spl0_494 <=> c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f17784,plain,(
% 43.85/5.91 ![X0]: (c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a)|~spl0_494)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f17783])).
% 43.85/5.91 fof(f17788,plain,(
% 43.85/5.91 spl0_495 <=> c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),t_a)=c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f17791,plain,(
% 43.85/5.91 ![X0]: (c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),t_a)=c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f1758,f17746])).
% 43.85/5.91 fof(f17792,plain,(
% 43.85/5.91 spl0_495|spl0_5|~spl0_36),
% 43.85/5.91 inference(split_clause,[status(thm)],[f17791,f17788,f1775,f2228])).
% 43.85/5.91 fof(f17795,plain,(
% 43.85/5.91 spl0_496 <=> c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X1,X1,t_a),t_a)=c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f17798,plain,(
% 43.85/5.91 ![X0,X1,X2]: (c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X1,X1,t_a),t_a)=c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a)|X2=c_HOL_Ozero__class_Ozero(t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|X2=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f2630,f17746])).
% 43.85/5.91 fof(f17799,plain,(
% 43.85/5.91 spl0_496|spl0_13|~spl0_36),
% 43.85/5.91 inference(split_clause,[status(thm)],[f17798,f17795,f1931,f2228])).
% 43.85/5.91 fof(f17804,plain,(
% 43.85/5.91 ![X0,X1,X2]: (c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X0,t_a),X1,t_a)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f17746,f12008])).
% 43.85/5.91 fof(f17805,plain,(
% 43.85/5.91 ![X0,X1]: (c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X0,t_a),X1,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),X1,t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.91 inference(forward_demodulation,[status(thm)],[f12008,f17804])).
% 43.85/5.91 fof(f17848,plain,(
% 43.85/5.91 ![X0,X1]: (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oinverse__class_Odivide(X1,X1,t_a),t_a)=X0|X1=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f17746,f12013])).
% 43.85/5.91 fof(f18304,plain,(
% 43.85/5.91 spl0_497 <=> ~c_HOL_Oord__class_Oless(c_Suc(c_Suc(X0)),X0,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f18438,plain,(
% 43.85/5.91 spl0_498 <=> c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Oone__class_Oone(tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f18441,plain,(
% 43.85/5.91 ![X0]: (c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Oone__class_Oone(tc_nat)|c_lessequals(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)|~spl0_435)),
% 43.85/5.91 inference(resolution,[status(thm)],[f16448,f16469])).
% 43.85/5.91 fof(f18442,plain,(
% 43.85/5.91 spl0_498|spl0_480|~spl0_435),
% 43.85/5.91 inference(split_clause,[status(thm)],[f18441,f18438,f16783,f14409])).
% 43.85/5.91 fof(f18495,plain,(
% 43.85/5.91 spl0_499 <=> ~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X1,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f18954,plain,(
% 43.85/5.91 ![X0,X1,X2]: (c_Power_Opower__class_Opower(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),t_a)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,X1,t_a),c_Power_Opower__class_Opower(X0,X2,t_a),t_a)|~c_lessequals(X2,X1,tc_nat)|X0=c_HOL_Ozero__class_Ozero(t_a))),
% 43.85/5.91 inference(resolution,[status(thm)],[f1603,f1661])).
% 43.85/5.91 fof(f18969,plain,(
% 43.85/5.91 ![X0,X1]: (c_lessequals(X0,c_Suc(c_Suc(X1)),tc_nat)|~c_lessequals(X0,X1,tc_nat))),
% 43.85/5.91 inference(resolution,[status(thm)],[f1612,f7127])).
% 43.85/5.91 fof(f19001,plain,(
% 43.85/5.91 spl0_500 <=> ~c_GCD_Ogcd__class_Ogcd(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)=c_HOL_Oone__class_Oone(tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f19002,plain,(
% 43.85/5.91 ![X0]: (~c_GCD_Ogcd__class_Ogcd(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)=c_HOL_Oone__class_Oone(tc_nat)|~spl0_500)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f19001])).
% 43.85/5.91 fof(f19049,plain,(
% 43.85/5.91 ![X0]: (~c_HOL_Oinverse__class_Oinverse(X0,t_a)=c_HOL_Ozero__class_Ozero(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a))),
% 43.85/5.91 inference(resolution,[status(thm)],[f17590,f1661])).
% 43.85/5.91 fof(f19085,plain,(
% 43.85/5.91 ![X0,X1]: (X0=c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oinverse__class_Odivide(X1,X1,t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f11990,f17777])).
% 43.85/5.91 fof(f19086,plain,(
% 43.85/5.91 ![X0,X1]: (X0=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ominus__class_Ominus(X0,c_HOL_Oinverse__class_Odivide(X1,X1,t_a),t_a),t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.91 inference(forward_demodulation,[status(thm)],[f5884,f19085])).
% 43.85/5.91 fof(f19120,plain,(
% 43.85/5.91 spl0_501 <=> c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),X0,t_a)=c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f19121,plain,(
% 43.85/5.91 ![X0]: (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),X0,t_a)=c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a)|~spl0_501)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f19120])).
% 43.85/5.91 fof(f19125,plain,(
% 43.85/5.91 spl0_502 <=> c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),X0,t_a)=c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f19128,plain,(
% 43.85/5.91 ![X0]: (c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),X0,t_a)=c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f1758,f17777])).
% 43.85/5.91 fof(f19129,plain,(
% 43.85/5.91 spl0_502|spl0_5|~spl0_36),
% 43.85/5.91 inference(split_clause,[status(thm)],[f19128,f19125,f1775,f2228])).
% 43.85/5.91 fof(f19130,plain,(
% 43.85/5.91 spl0_503 <=> c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),X0,t_a)=c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f19133,plain,(
% 43.85/5.91 ![X0]: (c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),X0,t_a)=c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f1728,f17777])).
% 43.85/5.91 fof(f19134,plain,(
% 43.85/5.91 spl0_503|spl0_5|~spl0_36),
% 43.85/5.91 inference(split_clause,[status(thm)],[f19133,f19130,f1775,f2228])).
% 43.85/5.91 fof(f19135,plain,(
% 43.85/5.91 spl0_504 <=> c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X0,t_a),X1,t_a)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f19138,plain,(
% 43.85/5.91 ![X0,X1,X2]: (c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X0,t_a),X1,t_a)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(t_a),t_a)|X2=c_HOL_Ozero__class_Ozero(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|X2=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f2630,f17777])).
% 43.85/5.91 fof(f19139,plain,(
% 43.85/5.91 spl0_504|spl0_13|~spl0_36),
% 43.85/5.91 inference(split_clause,[status(thm)],[f19138,f19135,f1931,f2228])).
% 43.85/5.91 fof(f19246,plain,(
% 43.85/5.91 spl0_505 <=> c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),X0,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),X0,t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f19249,plain,(
% 43.85/5.91 ![X0,X1]: (c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),X0,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),X0,t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f17805,f17805])).
% 43.85/5.91 fof(f19250,plain,(
% 43.85/5.91 spl0_505|spl0_13|~spl0_36),
% 43.85/5.91 inference(split_clause,[status(thm)],[f19249,f19246,f1931,f2228])).
% 43.85/5.91 fof(f19275,plain,(
% 43.85/5.91 spl0_506 <=> c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),X0,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),X0,t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f19276,plain,(
% 43.85/5.91 ![X0]: (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),X0,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),X0,t_a)|~spl0_506)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f19275])).
% 43.85/5.91 fof(f19280,plain,(
% 43.85/5.91 spl0_507 <=> c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),X0,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),X0,t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f19283,plain,(
% 43.85/5.91 ![X0]: (c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),X0,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),X0,t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f1758,f17805])).
% 43.85/5.91 fof(f19284,plain,(
% 43.85/5.91 spl0_507|spl0_5|~spl0_36),
% 43.85/5.91 inference(split_clause,[status(thm)],[f19283,f19280,f1775,f2228])).
% 43.85/5.91 fof(f19287,plain,(
% 43.85/5.91 spl0_508 <=> c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X0,t_a),X1,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),X1,t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f19290,plain,(
% 43.85/5.91 ![X0,X1,X2]: (c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X0,t_a),X1,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),X1,t_a)|X2=c_HOL_Ozero__class_Ozero(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|X2=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f2630,f17805])).
% 43.85/5.91 fof(f19291,plain,(
% 43.85/5.91 spl0_508|spl0_13|~spl0_36),
% 43.85/5.91 inference(split_clause,[status(thm)],[f19290,f19287,f1931,f2228])).
% 43.85/5.91 fof(f19379,plain,(
% 43.85/5.91 ![X0]: (c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(X0,X0,t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f5899,f17848])).
% 43.85/5.91 fof(f19386,plain,(
% 43.85/5.91 spl0_509 <=> c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)=X0),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f19387,plain,(
% 43.85/5.91 ![X0]: (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)=X0|~spl0_509)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f19386])).
% 43.85/5.91 fof(f19391,plain,(
% 43.85/5.91 spl0_510 <=> c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),t_a)=X0),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f19394,plain,(
% 43.85/5.91 ![X0]: (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),t_a)=X0|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f1758,f17848])).
% 43.85/5.91 fof(f19395,plain,(
% 43.85/5.91 spl0_510|spl0_5|~spl0_36),
% 43.85/5.91 inference(split_clause,[status(thm)],[f19394,f19391,f1775,f2228])).
% 43.85/5.91 fof(f19396,plain,(
% 43.85/5.91 spl0_511 <=> c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a)=X0),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f19399,plain,(
% 43.85/5.91 ![X0]: (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a)=X0|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f1728,f17848])).
% 43.85/5.91 fof(f19400,plain,(
% 43.85/5.91 spl0_511|spl0_5|~spl0_36),
% 43.85/5.91 inference(split_clause,[status(thm)],[f19399,f19396,f1775,f2228])).
% 43.85/5.91 fof(f19401,plain,(
% 43.85/5.91 spl0_512 <=> c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oinverse__class_Odivide(X1,X1,t_a),t_a)=X0|X1=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f19404,plain,(
% 43.85/5.91 ![X0,X1,X2]: (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oinverse__class_Odivide(X1,X1,t_a),t_a)=X0|X2=c_HOL_Ozero__class_Ozero(t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|X2=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f2630,f17848])).
% 43.85/5.91 fof(f19405,plain,(
% 43.85/5.91 spl0_512|spl0_13|~spl0_36),
% 43.85/5.91 inference(split_clause,[status(thm)],[f19404,f19401,f1931,f2228])).
% 43.85/5.91 fof(f19425,plain,(
% 43.85/5.91 spl0_513 <=> c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f19426,plain,(
% 43.85/5.91 c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_513),
% 43.85/5.91 inference(component_clause,[status(thm)],[f19425])).
% 43.85/5.91 fof(f19430,plain,(
% 43.85/5.91 spl0_514 <=> c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f19433,plain,(
% 43.85/5.91 c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f1758,f19379])).
% 43.85/5.91 fof(f19434,plain,(
% 43.85/5.91 spl0_514|spl0_5|~spl0_36),
% 43.85/5.91 inference(split_clause,[status(thm)],[f19433,f19430,f1775,f2228])).
% 43.85/5.91 fof(f19437,plain,(
% 43.85/5.91 spl0_515 <=> c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(X0,X0,t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f19440,plain,(
% 43.85/5.91 ![X0,X1]: (c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(X0,X0,t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f2630,f19379])).
% 43.85/5.91 fof(f19441,plain,(
% 43.85/5.91 spl0_515|spl0_13|~spl0_36),
% 43.85/5.91 inference(split_clause,[status(thm)],[f19440,f19437,f1931,f2228])).
% 43.85/5.91 fof(f20023,plain,(
% 43.85/5.91 spl0_516 <=> ~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X0,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f20093,plain,(
% 43.85/5.91 ![X0,X1,X2]: (c_lessequals(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),X2,tc_nat),X0,tc_nat)|~spl0_436)),
% 43.85/5.91 inference(resolution,[status(thm)],[f14765,f1314])).
% 43.85/5.91 fof(f20495,plain,(
% 43.85/5.91 spl0_517 <=> ~X0=c_HOL_Ozero__class_Ozero(tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f20496,plain,(
% 43.85/5.91 ![X0]: (~X0=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_517)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f20495])).
% 43.85/5.91 fof(f20565,plain,(
% 43.85/5.91 spl0_520 <=> c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f20568,plain,(
% 43.85/5.91 spl0_521 <=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f20570,plain,(
% 43.85/5.91 ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)|spl0_521),
% 43.85/5.91 inference(component_clause,[status(thm)],[f20568])).
% 43.85/5.91 fof(f20571,plain,(
% 43.85/5.91 c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f11104,f793])).
% 43.85/5.91 fof(f20572,plain,(
% 43.85/5.91 spl0_520|~spl0_521),
% 43.85/5.91 inference(split_clause,[status(thm)],[f20571,f20565,f20568])).
% 43.85/5.91 fof(f20584,plain,(
% 43.85/5.91 spl0_522 <=> c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f20585,plain,(
% 43.85/5.91 ![X0]: (c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)|~spl0_522)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f20584])).
% 43.85/5.91 fof(f20591,plain,(
% 43.85/5.91 $false|spl0_521),
% 43.85/5.91 inference(forward_subsumption_resolution,[status(thm)],[f20570,f8234])).
% 43.85/5.91 fof(f20592,plain,(
% 43.85/5.91 spl0_521),
% 43.85/5.91 inference(contradiction_clause,[status(thm)],[f20591])).
% 43.85/5.91 fof(f20656,plain,(
% 43.85/5.91 ![X0]: (X0=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ominus__class_Ominus(X0,c_HOL_Oinverse__class_Odivide(v_a,v_a,t_a),t_a),t_a)|~spl0_36|spl0_1)),
% 43.85/5.91 inference(resolution,[status(thm)],[f19086,f1713])).
% 43.85/5.91 fof(f20718,plain,(
% 43.85/5.91 spl0_523 <=> X0=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Ominus__class_Ominus(X0,c_HOL_Oinverse__class_Odivide(v_a,v_a,t_a),t_a),t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f20719,plain,(
% 43.85/5.91 ![X0]: (X0=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Ominus__class_Ominus(X0,c_HOL_Oinverse__class_Odivide(v_a,v_a,t_a),t_a),t_a)|~spl0_523)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f20718])).
% 43.85/5.91 fof(f20721,plain,(
% 43.85/5.91 spl0_524 <=> X1=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ominus__class_Ominus(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a),t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f20724,plain,(
% 43.85/5.91 ![X0,X1]: (X0=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Ominus__class_Ominus(X0,c_HOL_Oinverse__class_Odivide(v_a,v_a,t_a),t_a),t_a)|X1=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ominus__class_Ominus(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a),t_a)|spl0_1|~spl0_36)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f19086,f20656])).
% 43.85/5.91 fof(f20725,plain,(
% 43.85/5.91 spl0_523|spl0_524|spl0_1|~spl0_36),
% 43.85/5.91 inference(split_clause,[status(thm)],[f20724,f20718,f20721,f1711,f2228])).
% 43.85/5.91 fof(f20730,plain,(
% 43.85/5.91 spl0_525 <=> c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(v_a,v_a,t_a),v_a,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oone__class_Oone(t_a),t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f20733,plain,(
% 43.85/5.91 c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(v_a,v_a,t_a),v_a,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oone__class_Oone(t_a),t_a)|v_a=c_HOL_Ozero__class_Ozero(t_a)|spl0_1|~spl0_36),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f12017,f20656])).
% 43.85/5.91 fof(f20734,plain,(
% 43.85/5.91 spl0_525|spl0_1|~spl0_36),
% 43.85/5.91 inference(split_clause,[status(thm)],[f20733,f20730,f1711,f2228])).
% 43.85/5.91 fof(f20743,plain,(
% 43.85/5.91 c_HOL_Oinverse__class_Odivide(v_a,v_a,t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)|~spl0_36|spl0_1),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f6455,f20656])).
% 43.85/5.91 fof(f20744,plain,(
% 43.85/5.91 c_HOL_Oinverse__class_Odivide(v_a,v_a,t_a)=c_HOL_Oone__class_Oone(t_a)|~spl0_36|spl0_1),
% 43.85/5.91 inference(forward_demodulation,[status(thm)],[f5855,f20743])).
% 43.85/5.91 fof(f20745,plain,(
% 43.85/5.91 spl0_526 <=> X0=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(t_a),t_a),t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f20746,plain,(
% 43.85/5.91 ![X0]: (X0=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(t_a),t_a),t_a)|~spl0_526)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f20745])).
% 43.85/5.91 fof(f20748,plain,(
% 43.85/5.91 spl0_527 <=> X1=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ominus__class_Ominus(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(v_a,v_a,t_a),c_HOL_Oinverse__class_Odivide(v_a,v_a,t_a),t_a),t_a),t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f20751,plain,(
% 43.85/5.91 ![X0,X1]: (X0=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(t_a),t_a),t_a)|X1=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ominus__class_Ominus(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(v_a,v_a,t_a),c_HOL_Oinverse__class_Odivide(v_a,v_a,t_a),t_a),t_a),t_a)|spl0_1|~spl0_36)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f19086,f20656])).
% 43.85/5.91 fof(f20752,plain,(
% 43.85/5.91 spl0_526|spl0_527|spl0_1|~spl0_36),
% 43.85/5.91 inference(split_clause,[status(thm)],[f20751,f20745,f20748,f1711,f2228])).
% 43.85/5.91 fof(f20753,plain,(
% 43.85/5.91 spl0_528 <=> X0=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ominus__class_Ominus(X0,c_HOL_Oinverse__class_Odivide(X1,X1,t_a),t_a),t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f20756,plain,(
% 43.85/5.91 ![X0,X1]: (X0=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ominus__class_Ominus(X0,c_HOL_Oinverse__class_Odivide(X1,X1,t_a),t_a),t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|v_a=c_HOL_Ozero__class_Ozero(t_a)|spl0_1|~spl0_36)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f2630,f20656])).
% 43.85/5.91 fof(f20757,plain,(
% 43.85/5.91 spl0_528|spl0_1|~spl0_36),
% 43.85/5.91 inference(split_clause,[status(thm)],[f20756,f20753,f1711,f2228])).
% 43.85/5.91 fof(f20760,plain,(
% 43.85/5.91 spl0_529 <=> X0=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(t_a),t_a),t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f20763,plain,(
% 43.85/5.91 ![X0]: (X0=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(t_a),t_a),t_a)|v_a=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36|spl0_1)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f1774,f20656])).
% 43.85/5.91 fof(f20764,plain,(
% 43.85/5.91 spl0_529|spl0_1|~spl0_36),
% 43.85/5.91 inference(split_clause,[status(thm)],[f20763,f20760,f1711,f2228])).
% 43.85/5.91 fof(f20769,plain,(
% 43.85/5.91 spl0_530 <=> c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oinverse__class_Odivide(v_a,v_a,t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f20772,plain,(
% 43.85/5.91 ![X0]: (c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oinverse__class_Odivide(v_a,v_a,t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36|spl0_1)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f20656,f12049])).
% 43.85/5.91 fof(f20773,plain,(
% 43.85/5.91 spl0_530|spl0_5|~spl0_36|spl0_1),
% 43.85/5.91 inference(split_clause,[status(thm)],[f20772,f20769,f1775,f2228,f1711])).
% 43.85/5.91 fof(f20784,plain,(
% 43.85/5.91 spl0_531 <=> c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oinverse__class_Odivide(v_a,v_a,t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a)=c_HOL_Oone__class_Oone(t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f20787,plain,(
% 43.85/5.91 ![X0]: (c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oinverse__class_Odivide(v_a,v_a,t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a)=c_HOL_Oone__class_Oone(t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36|spl0_1)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f20656,f12016])).
% 43.85/5.91 fof(f20788,plain,(
% 43.85/5.91 spl0_531|spl0_5|~spl0_36|spl0_1),
% 43.85/5.91 inference(split_clause,[status(thm)],[f20787,f20784,f1775,f2228,f1711])).
% 43.85/5.91 fof(f20811,plain,(
% 43.85/5.91 spl0_532 <=> c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oinverse__class_Odivide(v_a,v_a,t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f20814,plain,(
% 43.85/5.91 ![X0]: (c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oinverse__class_Odivide(v_a,v_a,t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36|spl0_1)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f20656,f11229])).
% 43.85/5.91 fof(f20815,plain,(
% 43.85/5.91 spl0_532|spl0_5|~spl0_36|spl0_1),
% 43.85/5.91 inference(split_clause,[status(thm)],[f20814,f20811,f1775,f2228,f1711])).
% 43.85/5.91 fof(f20835,plain,(
% 43.85/5.91 ![X0]: (X0=c_HOL_Ominus__class_Ominus(X0,c_HOL_Oinverse__class_Odivide(v_a,v_a,t_a),t_a)|~spl0_523)),
% 43.85/5.91 inference(forward_demodulation,[status(thm)],[f5899,f20719])).
% 43.85/5.91 fof(f20836,plain,(
% 43.85/5.91 ![X0]: (X0=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),X0,t_a)|~spl0_526)),
% 43.85/5.91 inference(forward_demodulation,[status(thm)],[f7180,f20746])).
% 43.85/5.91 fof(f20930,plain,(
% 43.85/5.91 ~c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oone__class_Oone(t_a)|~spl0_526|spl0_28),
% 43.85/5.91 inference(backward_demodulation,[status(thm)],[f20836,f2184])).
% 43.85/5.91 fof(f20931,plain,(
% 43.85/5.91 ~c_HOL_Oone__class_Oone(t_a)=c_HOL_Oone__class_Oone(t_a)|~spl0_526|spl0_28),
% 43.85/5.91 inference(forward_demodulation,[status(thm)],[f20836,f20930])).
% 43.85/5.91 fof(f20932,plain,(
% 43.85/5.91 $false|~spl0_526|spl0_28),
% 43.85/5.91 inference(trivial_equality_resolution,[status(esa)],[f20931])).
% 43.85/5.91 fof(f20933,plain,(
% 43.85/5.91 ~spl0_526|spl0_28),
% 43.85/5.91 inference(contradiction_clause,[status(thm)],[f20932])).
% 43.85/5.91 fof(f20934,plain,(
% 43.85/5.91 spl0_533 <=> v_a=v_a),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f20937,plain,(
% 43.85/5.91 v_a=c_HOL_Ozero__class_Ozero(t_a)|v_a=v_a|~spl0_36|spl0_1),
% 43.85/5.91 inference(resolution,[status(thm)],[f20744,f1844])).
% 43.85/5.91 fof(f20938,plain,(
% 43.85/5.91 spl0_1|spl0_533|~spl0_36),
% 43.85/5.91 inference(split_clause,[status(thm)],[f20937,f1711,f20934,f2228])).
% 43.85/5.91 fof(f20955,plain,(
% 43.85/5.91 spl0_534 <=> c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(v_a,v_a,t_a),v_a,t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oone__class_Oone(t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f20958,plain,(
% 43.85/5.91 c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(v_a,v_a,t_a),v_a,t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oone__class_Oone(t_a)|v_a=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36|spl0_1),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f20744,f12017])).
% 43.85/5.91 fof(f20959,plain,(
% 43.85/5.91 spl0_534|spl0_1|~spl0_36),
% 43.85/5.91 inference(split_clause,[status(thm)],[f20958,f20955,f1711,f2228])).
% 43.85/5.91 fof(f20978,plain,(
% 43.85/5.91 ![X0]: (X0=c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(t_a),t_a)|~spl0_36|spl0_1|~spl0_523)),
% 43.85/5.91 inference(forward_demodulation,[status(thm)],[f20744,f20835])).
% 43.85/5.91 fof(f20982,plain,(
% 43.85/5.91 ![X0]: (c_HOL_Oinverse__class_Odivide(X0,X0,t_a)=c_HOL_Ozero__class_Ozero(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|spl0_1|~spl0_523|~spl0_36)),
% 43.85/5.91 inference(backward_demodulation,[status(thm)],[f20978,f17692])).
% 43.85/5.91 fof(f20983,plain,(
% 43.85/5.91 spl0_62|spl0_1|~spl0_523|~spl0_36),
% 43.85/5.91 inference(split_clause,[status(thm)],[f20982,f2636,f1711,f20718,f2228])).
% 43.85/5.91 fof(f21435,plain,(
% 43.85/5.91 ![X0,X1,X2]: (~c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),X2,tc_nat),tc_nat)|~spl0_436)),
% 43.85/5.91 inference(resolution,[status(thm)],[f20093,f8203])).
% 43.85/5.91 fof(f21474,plain,(
% 43.85/5.91 spl0_535 <=> c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f21477,plain,(
% 43.85/5.91 ![X0,X1,X2]: (c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)|c_HOL_Ozero__class_Ozero(tc_nat)=X2|~spl0_436|~spl0_175)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f13127,f20093])).
% 43.85/5.91 fof(f21478,plain,(
% 43.85/5.91 spl0_535|spl0_9|~spl0_436|~spl0_175),
% 43.85/5.91 inference(split_clause,[status(thm)],[f21477,f21474,f1846,f14415,f5193])).
% 43.85/5.91 fof(f21548,plain,(
% 43.85/5.91 spl0_536 <=> ~c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f21551,plain,(
% 43.85/5.91 ![X0,X1,X2]: (~c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)|c_HOL_Ozero__class_Ozero(tc_nat)=X2|~spl0_436|~spl0_175)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f13127,f21435])).
% 43.85/5.91 fof(f21552,plain,(
% 43.85/5.91 spl0_536|spl0_9|~spl0_436|~spl0_175),
% 43.85/5.91 inference(split_clause,[status(thm)],[f21551,f21548,f1846,f14415,f5193])).
% 43.85/5.91 fof(f21575,plain,(
% 43.85/5.91 spl0_537 <=> c_Divides_Odiv__class_Omod(X0,c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)),tc_nat)=X0),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f21578,plain,(
% 43.85/5.91 ![X0,X1]: (~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_Divides_Odiv__class_Omod(X0,c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)),tc_nat)=X0|~spl0_175)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f9234,f13451])).
% 43.85/5.91 fof(f21579,plain,(
% 43.85/5.91 ~spl0_11|spl0_537|~spl0_175),
% 43.85/5.91 inference(split_clause,[status(thm)],[f21578,f1854,f21575,f5193])).
% 43.85/5.91 fof(f22124,plain,(
% 43.85/5.91 ![X0,X1]: (c_lessequals(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),c_Suc(c_Suc(X0)),tc_nat))),
% 43.85/5.91 inference(resolution,[status(thm)],[f18969,f1314])).
% 43.85/5.91 fof(f22213,plain,(
% 43.85/5.91 spl0_538 <=> c_lessequals(X0,c_Suc(c_Suc(X0)),tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f22216,plain,(
% 43.85/5.91 ![X0,X1]: (c_lessequals(X0,c_Suc(c_Suc(X0)),tc_nat)|c_HOL_Ozero__class_Ozero(tc_nat)=X1|~spl0_175)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f13127,f22124])).
% 43.85/5.91 fof(f22217,plain,(
% 43.85/5.91 spl0_538|spl0_9|~spl0_175),
% 43.85/5.91 inference(split_clause,[status(thm)],[f22216,f22213,f1846,f5193])).
% 43.85/5.91 fof(f22335,plain,(
% 43.85/5.91 ![X0,X1,X2]: (c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X1,t_a),X2,t_a)=c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X2,t_a),c_HOL_Oinverse__class_Odivide(X1,X2,t_a),t_a))),
% 43.85/5.91 inference(resolution,[status(thm)],[f1638,f1661])).
% 43.85/5.91 fof(f22444,plain,(
% 43.85/5.91 spl0_539 <=> c_Divides_Odiv__class_Omod(X0,c_Suc(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat)),tc_nat)=X0),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f22447,plain,(
% 43.85/5.91 ![X0,X1]: (~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_Divides_Odiv__class_Omod(X0,c_Suc(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat)),tc_nat)=X0|~spl0_175)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f9234,f13467])).
% 43.85/5.91 fof(f22448,plain,(
% 43.85/5.91 ~spl0_11|spl0_539|~spl0_175),
% 43.85/5.91 inference(split_clause,[status(thm)],[f22447,f1854,f22444,f5193])).
% 43.85/5.91 fof(f23121,plain,(
% 43.85/5.91 spl0_540 <=> c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(X0),tc_nat)=c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f23124,plain,(
% 43.85/5.91 ![X0,X1]: (~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(X0),tc_nat)=c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)|~spl0_175)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f9234,f11021])).
% 43.85/5.91 fof(f23125,plain,(
% 43.85/5.91 ~spl0_11|spl0_540|~spl0_175),
% 43.85/5.91 inference(split_clause,[status(thm)],[f23124,f1854,f23121,f5193])).
% 43.85/5.91 fof(f23242,plain,(
% 43.85/5.91 ![X0,X1,X2]: (c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)|~c_lessequals(X0,X2,tc_nat)|~c_lessequals(X1,X0,tc_nat))),
% 43.85/5.91 inference(forward_subsumption_resolution,[status(thm)],[f1646,f1612])).
% 43.85/5.91 fof(f23305,plain,(
% 43.85/5.91 ![X0,X1,X2,X3]: (~c_HOL_Oplus__class_Oplus(X0,X1,X2)=c_HOL_Oplus__class_Oplus(X0,X3,X2)|X1=X3|~class_Ring__and__Field_Ofield(X2))),
% 43.85/5.91 inference(resolution,[status(thm)],[f1127,f1666])).
% 43.85/5.91 fof(f23311,plain,(
% 43.85/5.91 ![X0,X1,X2]: (~c_Power_Opower__class_Opower(X0,X1,X2)=c_HOL_Ozero__class_Ozero(X2)|X0=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Ofield(X2))),
% 43.85/5.91 inference(resolution,[status(thm)],[f1252,f1665])).
% 43.85/5.91 fof(f23405,plain,(
% 43.85/5.91 spl0_542 <=> c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_Suc(X2),tc_nat),t_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(t_a),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),t_a),t_a)|~c_HOL_Oord__class_Oless(X2,X1,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f23408,plain,(
% 43.85/5.91 ![X0,X1,X2]: (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_Suc(X2),tc_nat),t_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(t_a),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|~c_HOL_Oord__class_Oless(X2,X1,tc_nat)|~spl0_435)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f12707,f16412])).
% 43.85/5.91 fof(f23409,plain,(
% 43.85/5.91 spl0_542|spl0_5|~spl0_435),
% 43.85/5.91 inference(split_clause,[status(thm)],[f23408,f23405,f1775,f14409])).
% 43.85/5.91 fof(f23412,plain,(
% 43.85/5.91 spl0_543 <=> c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_Suc(X2),tc_nat),t_a)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(t_a),c_Suc(X2),t_a),c_HOL_Oone__class_Oone(t_a),t_a)|~c_HOL_Oord__class_Oless(X2,X1,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f23415,plain,(
% 43.85/5.91 ![X0,X1,X2]: (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_Suc(X2),tc_nat),t_a)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(t_a),c_Suc(X2),t_a),c_HOL_Oone__class_Oone(t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|~c_HOL_Oord__class_Oless(X2,X1,tc_nat)|~spl0_435)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f12707,f16412])).
% 43.85/5.91 fof(f23416,plain,(
% 43.85/5.91 spl0_543|spl0_5|~spl0_435),
% 43.85/5.91 inference(split_clause,[status(thm)],[f23415,f23412,f1775,f14409])).
% 43.85/5.91 fof(f23550,plain,(
% 43.85/5.91 spl0_545 <=> c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ominus__class_Ominus(X0,c_Suc(X0),tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f23553,plain,(
% 43.85/5.91 ![X0,X1]: (c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ominus__class_Ominus(X0,c_Suc(X0),tc_nat)|c_HOL_Ozero__class_Ozero(tc_nat)=X1|~spl0_436|~spl0_175)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f13127,f14908])).
% 43.85/5.91 fof(f23554,plain,(
% 43.85/5.91 spl0_545|spl0_9|~spl0_436|~spl0_175),
% 43.85/5.91 inference(split_clause,[status(thm)],[f23553,f23550,f1846,f14415,f5193])).
% 43.85/5.91 fof(f23647,plain,(
% 43.85/5.91 spl0_551 <=> ~c_HOL_Ominus__class_Ominus(c_Suc(X0),c_Divides_Odiv__class_Omod(X0,X1,tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_Divides_Odiv__class_Omod(X0,X1,tc_nat)=c_Suc(X0)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f23650,plain,(
% 43.85/5.91 ![X0,X1]: (~c_HOL_Ominus__class_Ominus(c_Suc(X0),c_Divides_Odiv__class_Omod(X0,X1,tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_Divides_Odiv__class_Omod(X0,X1,tc_nat)=c_Suc(X0)|~spl0_436|~spl0_175)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f14908,f1328])).
% 43.85/5.91 fof(f23651,plain,(
% 43.85/5.91 spl0_551|~spl0_11|~spl0_436|~spl0_175),
% 43.85/5.91 inference(split_clause,[status(thm)],[f23650,f23647,f1854,f14415,f5193])).
% 43.85/5.91 fof(f23778,plain,(
% 43.85/5.91 ![X0,X1,X2]: (c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)|~c_lessequals(X0,X2,tc_nat)|~spl0_435)),
% 43.85/5.91 inference(backward_subsumption_resolution,[status(thm)],[f23242,f15110])).
% 43.85/5.91 fof(f23858,plain,(
% 43.85/5.91 spl0_555 <=> c_lessequals(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat))),X2,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f23859,plain,(
% 43.85/5.91 ![X0,X1]: (c_lessequals(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat))),X1,tc_nat)|~spl0_555)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f23858])).
% 43.85/5.91 fof(f23863,plain,(
% 43.85/5.91 spl0_556 <=> c_lessequals(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat))),X1,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f23864,plain,(
% 43.85/5.91 ![X0,X1]: (c_lessequals(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat))),X0,tc_nat)|~spl0_556)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f23863])).
% 43.85/5.91 fof(f23868,plain,(
% 43.85/5.91 spl0_557 <=> c_lessequals(c_Suc(c_Suc(c_Suc(c_Suc(X1)))),X1,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f23869,plain,(
% 43.85/5.91 ![X0]: (c_lessequals(c_Suc(c_Suc(c_Suc(c_Suc(X0)))),X0,tc_nat)|~spl0_557)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f23868])).
% 43.85/5.91 fof(f23873,plain,(
% 43.85/5.91 spl0_558 <=> c_lessequals(c_Suc(c_Suc(c_Suc(X1))),X1,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f23874,plain,(
% 43.85/5.91 ![X0]: (c_lessequals(c_Suc(c_Suc(c_Suc(X0))),X0,tc_nat)|~spl0_558)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f23873])).
% 43.85/5.91 fof(f23878,plain,(
% 43.85/5.91 spl0_559 <=> c_lessequals(c_Suc(c_Suc(X1)),X1,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f23879,plain,(
% 43.85/5.91 ![X0]: (c_lessequals(c_Suc(c_Suc(X0)),X0,tc_nat)|~spl0_559)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f23878])).
% 43.85/5.91 fof(f23883,plain,(
% 43.85/5.91 spl0_560 <=> c_lessequals(c_Suc(c_HOL_Oplus__class_Oplus(c_Suc(X1),X2,tc_nat)),X1,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f23884,plain,(
% 43.85/5.91 ![X0,X1]: (c_lessequals(c_Suc(c_HOL_Oplus__class_Oplus(c_Suc(X0),X1,tc_nat)),X0,tc_nat)|~spl0_560)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f23883])).
% 43.85/5.91 fof(f23888,plain,(
% 43.85/5.91 spl0_561 <=> c_lessequals(c_Suc(c_HOL_Oplus__class_Oplus(X1,c_Suc(X2),tc_nat)),X2,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f23889,plain,(
% 43.85/5.91 ![X0,X1]: (c_lessequals(c_Suc(c_HOL_Oplus__class_Oplus(X0,c_Suc(X1),tc_nat)),X1,tc_nat)|~spl0_561)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f23888])).
% 43.85/5.91 fof(f23893,plain,(
% 43.85/5.91 spl0_562 <=> c_lessequals(c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),X1,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f23894,plain,(
% 43.85/5.91 ![X0,X1]: (c_lessequals(c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)),X0,tc_nat)|~spl0_562)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f23893])).
% 43.85/5.91 fof(f23898,plain,(
% 43.85/5.91 spl0_563 <=> c_lessequals(c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),X2,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f23899,plain,(
% 43.85/5.91 ![X0,X1]: (c_lessequals(c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)),X1,tc_nat)|~spl0_563)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f23898])).
% 43.85/5.91 fof(f23903,plain,(
% 43.85/5.91 spl0_564 <=> c_lessequals(c_Suc(X1),X1,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f23904,plain,(
% 43.85/5.91 ![X0]: (c_lessequals(c_Suc(X0),X0,tc_nat)|~spl0_564)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f23903])).
% 43.85/5.91 fof(f23923,plain,(
% 43.85/5.91 spl0_568 <=> c_lessequals(c_HOL_Oplus__class_Oplus(X1,c_Suc(c_Suc(X2)),tc_nat),X2,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f23924,plain,(
% 43.85/5.91 ![X0,X1]: (c_lessequals(c_HOL_Oplus__class_Oplus(X0,c_Suc(c_Suc(X1)),tc_nat),X1,tc_nat)|~spl0_568)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f23923])).
% 43.85/5.91 fof(f23928,plain,(
% 43.85/5.91 spl0_569 <=> c_lessequals(c_HOL_Oplus__class_Oplus(X1,c_Suc(X2),tc_nat),X2,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f23929,plain,(
% 43.85/5.91 ![X0,X1]: (c_lessequals(c_HOL_Oplus__class_Oplus(X0,c_Suc(X1),tc_nat),X1,tc_nat)|~spl0_569)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f23928])).
% 43.85/5.91 fof(f24013,plain,(
% 43.85/5.91 spl0_574 <=> ~c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(X1,X2,tc_nat),c_Suc(X1),tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f24014,plain,(
% 43.85/5.91 ![X0,X1]: (~c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),c_Suc(X0),tc_nat)|~spl0_574)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f24013])).
% 43.85/5.91 fof(f24024,plain,(
% 43.85/5.91 spl0_576 <=> ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f24025,plain,(
% 43.85/5.91 ![X0]: (~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)|~spl0_576)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f24024])).
% 43.85/5.91 fof(f24033,plain,(
% 43.85/5.91 spl0_577 <=> ~c_HOL_Oord__class_Oless(X1,c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(X2,X1,tc_nat))),tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f24034,plain,(
% 43.85/5.91 ![X0,X1]: (~c_HOL_Oord__class_Oless(X0,c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat))),tc_nat)|~spl0_577)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f24033])).
% 43.85/5.91 fof(f24038,plain,(
% 43.85/5.91 spl0_578 <=> ~c_HOL_Oord__class_Oless(X1,c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat))),tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f24039,plain,(
% 43.85/5.91 ![X0,X1]: (~c_HOL_Oord__class_Oless(X0,c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat))),tc_nat)|~spl0_578)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f24038])).
% 43.85/5.91 fof(f24043,plain,(
% 43.85/5.91 spl0_579 <=> ~c_HOL_Oord__class_Oless(X1,c_Suc(c_Suc(c_Suc(c_Suc(X1)))),tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f24044,plain,(
% 43.85/5.91 ![X0]: (~c_HOL_Oord__class_Oless(X0,c_Suc(c_Suc(c_Suc(c_Suc(X0)))),tc_nat)|~spl0_579)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f24043])).
% 43.85/5.91 fof(f24048,plain,(
% 43.85/5.91 spl0_580 <=> ~c_HOL_Oord__class_Oless(X1,c_Suc(c_Suc(c_Suc(X1))),tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f24049,plain,(
% 43.85/5.91 ![X0]: (~c_HOL_Oord__class_Oless(X0,c_Suc(c_Suc(c_Suc(X0))),tc_nat)|~spl0_580)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f24048])).
% 43.85/5.91 fof(f24053,plain,(
% 43.85/5.91 spl0_581 <=> ~c_HOL_Oord__class_Oless(X1,c_Suc(c_Suc(X1)),tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f24054,plain,(
% 43.85/5.91 ![X0]: (~c_HOL_Oord__class_Oless(X0,c_Suc(c_Suc(X0)),tc_nat)|~spl0_581)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f24053])).
% 43.85/5.91 fof(f24058,plain,(
% 43.85/5.91 spl0_582 <=> ~c_HOL_Oord__class_Oless(X1,c_Suc(c_HOL_Oplus__class_Oplus(c_Suc(X1),X2,tc_nat)),tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f24059,plain,(
% 43.85/5.91 ![X0,X1]: (~c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Oplus__class_Oplus(c_Suc(X0),X1,tc_nat)),tc_nat)|~spl0_582)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f24058])).
% 43.85/5.91 fof(f24063,plain,(
% 43.85/5.91 spl0_583 <=> ~c_HOL_Oord__class_Oless(X1,c_Suc(c_HOL_Oplus__class_Oplus(X2,c_Suc(X1),tc_nat)),tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f24064,plain,(
% 43.85/5.91 ![X0,X1]: (~c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Oplus__class_Oplus(X1,c_Suc(X0),tc_nat)),tc_nat)|~spl0_583)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f24063])).
% 43.85/5.91 fof(f24068,plain,(
% 43.85/5.91 spl0_584 <=> ~c_HOL_Oord__class_Oless(X1,c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f24069,plain,(
% 43.85/5.91 ![X0,X1]: (~c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)),tc_nat)|~spl0_584)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f24068])).
% 43.85/5.91 fof(f24073,plain,(
% 43.85/5.91 spl0_585 <=> ~c_HOL_Oord__class_Oless(X1,c_Suc(c_HOL_Oplus__class_Oplus(X2,X1,tc_nat)),tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f24074,plain,(
% 43.85/5.91 ![X0,X1]: (~c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat)),tc_nat)|~spl0_585)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f24073])).
% 43.85/5.91 fof(f24078,plain,(
% 43.85/5.91 spl0_586 <=> ~c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f24079,plain,(
% 43.85/5.91 ![X0]: (~c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat)|~spl0_586)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f24078])).
% 43.85/5.91 fof(f24093,plain,(
% 43.85/5.91 spl0_589 <=> ~c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,c_Suc(X1),tc_nat),tc_nat),tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f24094,plain,(
% 43.85/5.91 ![X0,X1,X2]: (~c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_Suc(X0),tc_nat),tc_nat),tc_nat)|~spl0_589)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f24093])).
% 43.85/5.91 fof(f24098,plain,(
% 43.85/5.91 spl0_590 <=> ~c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,c_Suc(c_Suc(X1)),tc_nat),tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f24099,plain,(
% 43.85/5.91 ![X0,X1]: (~c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_Suc(c_Suc(X0)),tc_nat),tc_nat)|~spl0_590)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f24098])).
% 43.85/5.91 fof(f24103,plain,(
% 43.85/5.91 spl0_591 <=> ~c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,c_Suc(X1),tc_nat),tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f24104,plain,(
% 43.85/5.91 ![X0,X1]: (~c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_Suc(X0),tc_nat),tc_nat)|~spl0_591)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f24103])).
% 43.85/5.91 fof(f24127,plain,(
% 43.85/5.91 ![X0,X1,X2]: (c_lessequals(c_HOL_Ominus__class_Ominus(c_Suc(X0),X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)|c_lessequals(X2,X0,tc_nat)|~spl0_435)),
% 43.85/5.91 inference(resolution,[status(thm)],[f23778,f1312])).
% 43.85/5.91 fof(f24131,plain,(
% 43.85/5.91 ![X0,X1,X2]: (c_lessequals(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),X2,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)|~spl0_435)),
% 43.85/5.91 inference(resolution,[status(thm)],[f23778,f1314])).
% 43.85/5.91 fof(f24468,plain,(
% 43.85/5.91 ![X0,X1,X2,X3]: (c_lessequals(c_HOL_Ominus__class_Ominus(c_Suc(X0),X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)|c_Power_Opower__class_Opower(X3,c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),t_a)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X3,X0,t_a),c_Power_Opower__class_Opower(X3,X2,t_a),t_a)|X3=c_HOL_Ozero__class_Ozero(t_a)|~spl0_435)),
% 43.85/5.91 inference(resolution,[status(thm)],[f24127,f18954])).
% 43.85/5.91 fof(f24495,plain,(
% 43.85/5.91 ![X0,X1,X2,X3]: (c_lessequals(c_HOL_Ominus__class_Ominus(c_Suc(X0),X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)|c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X3,t_a),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),t_a)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X3,X2,t_a),c_Power_Opower__class_Opower(X3,X0,t_a),t_a)|X3=c_HOL_Ozero__class_Ozero(t_a)|~spl0_435)),
% 43.85/5.91 inference(resolution,[status(thm)],[f24127,f7157])).
% 43.85/5.91 fof(f24735,plain,(
% 43.85/5.91 ![X0]: (c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(t_a),t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a))),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f1728,f6360])).
% 43.85/5.91 fof(f24736,plain,(
% 43.85/5.91 spl0_308|spl0_5),
% 43.85/5.91 inference(split_clause,[status(thm)],[f24735,f11144,f1775])).
% 43.85/5.91 fof(f24824,plain,(
% 43.85/5.91 ![X0,X1]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,t_a),X1,t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X0,X1,t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|X1=c_HOL_Ozero__class_Ozero(t_a))),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f6360,f4262])).
% 43.85/5.91 fof(f24825,plain,(
% 43.85/5.91 spl0_310|spl0_5),
% 43.85/5.91 inference(split_clause,[status(thm)],[f24824,f11238,f1775])).
% 43.85/5.91 fof(f25161,plain,(
% 43.85/5.91 spl0_595 <=> X0=X0|~c_GCD_Ogcd__class_Ogcd(X0,X0,tc_nat)=X0),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f25164,plain,(
% 43.85/5.91 ![X0]: (X0=X0|~c_GCD_Ogcd__class_Ogcd(X0,X0,tc_nat)=X0|~class_Ring__and__Field_Ocomm__semiring__1(tc_nat))),
% 43.85/5.91 inference(resolution,[status(thm)],[f14393,f864])).
% 43.85/5.91 fof(f25165,plain,(
% 43.85/5.91 spl0_595|~spl0_161),
% 43.85/5.91 inference(split_clause,[status(thm)],[f25164,f25161,f4395])).
% 43.85/5.91 fof(f25166,plain,(
% 43.85/5.91 ![X0]: (c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(t_a),c_Suc(X0),t_a)=c_HOL_Ozero__class_Ozero(t_a))),
% 43.85/5.91 inference(resolution,[status(thm)],[f14406,f1661])).
% 43.85/5.91 fof(f25262,plain,(
% 43.85/5.91 ![X0,X1,X2]: (~c_HOL_Oplus__class_Oplus(X0,X1,t_a)=c_HOL_Oplus__class_Oplus(X0,X2,t_a)|X1=X2)),
% 43.85/5.91 inference(resolution,[status(thm)],[f23305,f1661])).
% 43.85/5.91 fof(f25307,plain,(
% 43.85/5.91 ![X0,X1]: (~X0=c_HOL_Oplus__class_Oplus(X0,X1,t_a)|c_HOL_Ozero__class_Ozero(t_a)=X1)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f5855,f25262])).
% 43.85/5.91 fof(f25308,plain,(
% 43.85/5.91 ![X0,X1,X2]: (~c_HOL_Oplus__class_Oplus(X0,X1,t_a)=c_HOL_Oplus__class_Oplus(X1,X2,t_a)|X0=X2)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f5884,f25262])).
% 43.85/5.91 fof(f25341,plain,(
% 43.85/5.91 ![X0]: (~X0=c_HOL_Oplus__class_Oplus(X0,c_Suc(c_HOL_Ozero__class_Ozero(t_a)),t_a))),
% 43.85/5.91 inference(resolution,[status(thm)],[f25307,f886])).
% 43.85/5.91 fof(f25342,plain,(
% 43.85/5.91 ![X0,X1]: (~X0=c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Oinverse(X1,t_a),t_a)|X1=c_HOL_Ozero__class_Ozero(t_a))),
% 43.85/5.91 inference(resolution,[status(thm)],[f25307,f19049])).
% 43.85/5.91 fof(f25344,plain,(
% 43.85/5.91 ![X0]: (~X0=c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a)|spl0_5)),
% 43.85/5.91 inference(resolution,[status(thm)],[f25307,f1777])).
% 43.85/5.91 fof(f25380,plain,(
% 43.85/5.91 ![X0,X1,X2]: (~X0=c_HOL_Oplus__class_Oplus(X0,c_HOL_Ominus__class_Ominus(X1,X2,t_a),t_a)|X1=X2)),
% 43.85/5.91 inference(resolution,[status(thm)],[f25307,f11099])).
% 43.85/5.91 fof(f25392,plain,(
% 43.85/5.91 ![X0]: (~X0=c_HOL_Oplus__class_Oplus(c_Suc(c_HOL_Ozero__class_Ozero(t_a)),X0,t_a))),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f5884,f25341])).
% 43.85/5.91 fof(f25493,plain,(
% 43.85/5.91 ![X0]: (~X0=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),X0,t_a)|spl0_5)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f5884,f25344])).
% 43.85/5.91 fof(f25522,plain,(
% 43.85/5.91 spl0_597 <=> c_lessequals(c_HOL_Ominus__class_Ominus(c_Suc(X0),X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)|c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(t_a),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),t_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(t_a),X2,t_a),t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f25525,plain,(
% 43.85/5.91 ![X0,X1,X2]: (c_lessequals(c_HOL_Ominus__class_Ominus(c_Suc(X0),X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)|c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(t_a),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),t_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(t_a),X2,t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_435)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f12707,f24468])).
% 43.85/5.91 fof(f25526,plain,(
% 43.85/5.91 spl0_597|spl0_5|~spl0_435),
% 43.85/5.91 inference(split_clause,[status(thm)],[f25525,f25522,f1775,f14409])).
% 43.85/5.91 fof(f25532,plain,(
% 43.85/5.91 spl0_598 <=> c_lessequals(c_HOL_Ominus__class_Ominus(c_Suc(X0),X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)|c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(t_a),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),t_a)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(t_a),X0,t_a),c_HOL_Oone__class_Oone(t_a),t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f25535,plain,(
% 43.85/5.91 ![X0,X1,X2]: (c_lessequals(c_HOL_Ominus__class_Ominus(c_Suc(X0),X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)|c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(t_a),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),t_a)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(t_a),X0,t_a),c_HOL_Oone__class_Oone(t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_435)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f12707,f24468])).
% 43.85/5.91 fof(f25536,plain,(
% 43.85/5.91 spl0_598|spl0_5|~spl0_435),
% 43.85/5.91 inference(split_clause,[status(thm)],[f25535,f25532,f1775,f14409])).
% 43.85/5.91 fof(f25545,plain,(
% 43.85/5.91 spl0_600 <=> c_Power_Opower__class_Opower(v_a,c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat),t_a)=c_Power_Opower__class_Opower(v_a,c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat),t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f25547,plain,(
% 43.85/5.91 ~c_Power_Opower__class_Opower(v_a,c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat),t_a)=c_Power_Opower__class_Opower(v_a,c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat),t_a)|spl0_600),
% 43.85/5.91 inference(component_clause,[status(thm)],[f25545])).
% 43.85/5.91 fof(f25623,plain,(
% 43.85/5.91 ![X0]: (~c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(t_a),t_a)=X0|spl0_5)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f11990,f25493])).
% 43.85/5.91 fof(f25642,plain,(
% 43.85/5.91 ![X0]: (~c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Oinverse__class_Odivide(X0,X0,t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|spl0_5|~spl0_36)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f17692,f25623])).
% 43.85/5.91 fof(f25648,plain,(
% 43.85/5.91 ![X0,X1]: (X0=c_HOL_Ozero__class_Ozero(t_a)|~X1=c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X0,X0,t_a),t_a)|spl0_5|~spl0_36)),
% 43.85/5.91 inference(resolution,[status(thm)],[f25642,f25307])).
% 43.85/5.91 fof(f25664,plain,(
% 43.85/5.91 spl0_601 <=> ~c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Oinverse__class_Odivide(X0,X0,t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f26029,plain,(
% 43.85/5.91 spl0_602 <=> c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f26032,plain,(
% 43.85/5.91 ![X0,X1,X2]: (c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)|c_HOL_Ozero__class_Ozero(tc_nat)=X2|~spl0_435|~spl0_175)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f13127,f24131])).
% 43.85/5.91 fof(f26033,plain,(
% 43.85/5.91 spl0_602|spl0_9|~spl0_435|~spl0_175),
% 43.85/5.91 inference(split_clause,[status(thm)],[f26032,f26029,f1846,f14409,f5193])).
% 43.85/5.91 fof(f26537,plain,(
% 43.85/5.91 ![X0,X1,X2]: (~X0=c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X1,t_a),X2,t_a)|X1=X2)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f11990,f25308])).
% 43.85/5.91 fof(f26586,plain,(
% 43.85/5.91 ![X0,X1]: (~c_HOL_Oplus__class_Oplus(X0,X1,t_a)=X1|X0=c_HOL_Ozero__class_Ozero(t_a))),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f5855,f25308])).
% 43.85/5.91 fof(f26589,plain,(
% 43.85/5.91 ![X0,X1]: (~c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,t_a),X1,t_a)=X1|X0=c_HOL_Ozero__class_Ozero(t_a))),
% 43.85/5.91 inference(resolution,[status(thm)],[f26586,f19049])).
% 43.85/5.91 fof(f26634,plain,(
% 43.85/5.91 ![X0,X1,X2]: (~c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X1,t_a),X2,t_a)=X2|X0=X1)),
% 43.85/5.91 inference(resolution,[status(thm)],[f26586,f11099])).
% 43.85/5.91 fof(f26635,plain,(
% 43.85/5.91 ![X0,X1]: (~c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X0,t_a),X1,t_a)=X1|X0=c_HOL_Ozero__class_Ozero(t_a)|spl0_5|~spl0_36)),
% 43.85/5.91 inference(resolution,[status(thm)],[f26586,f25642])).
% 43.85/5.91 fof(f26691,plain,(
% 43.85/5.91 spl0_603 <=> ~X0=c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(t_a),t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f26692,plain,(
% 43.85/5.91 ![X0]: (~X0=c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(t_a),t_a)|~spl0_603)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f26691])).
% 43.85/5.91 fof(f26709,plain,(
% 43.85/5.91 ![X0,X1,X2]: (~X0=c_HOL_Oplus__class_Oplus(X0,X1,t_a)|c_HOL_Oplus__class_Oplus(X2,X1,t_a)=X2)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f12033,f25380])).
% 43.85/5.91 fof(f26710,plain,(
% 43.85/5.91 ![X0,X1,X2]: (~X0=c_HOL_Oplus__class_Oplus(X0,X1,t_a)|c_HOL_Oplus__class_Oplus(X1,X2,t_a)=X2)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f12013,f25380])).
% 43.85/5.91 fof(f26711,plain,(
% 43.85/5.91 ![X0,X1,X2]: (~X0=c_HOL_Oplus__class_Oplus(X0,X1,t_a)|X2=c_HOL_Ominus__class_Ominus(X2,X1,t_a))),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f12023,f25380])).
% 43.85/5.91 fof(f26748,plain,(
% 43.85/5.91 ![X0,X1]: (~X0=c_HOL_Ominus__class_Ominus(X0,X1,t_a)|X1=c_HOL_Ozero__class_Ozero(t_a))),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f5855,f26537])).
% 43.85/5.91 fof(f26785,plain,(
% 43.85/5.91 ![X0]: (~c_HOL_Oinverse__class_Odivide(X0,X0,t_a)=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f17692,f26748])).
% 43.85/5.91 fof(f26786,plain,(
% 43.85/5.91 spl0_601|spl0_5|~spl0_36),
% 43.85/5.91 inference(split_clause,[status(thm)],[f26785,f25664,f1775,f2228])).
% 43.85/5.91 fof(f26788,plain,(
% 43.85/5.91 spl0_604 <=> ~c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a)=X0),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f26805,plain,(
% 43.85/5.91 spl0_605 <=> ~X0=X0),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f26806,plain,(
% 43.85/5.91 ![X0]: (~X0=X0|~spl0_605)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f26805])).
% 43.85/5.91 fof(f26879,plain,(
% 43.85/5.91 ![X0,X1,X2]: (~X0=c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(X1,X2,t_a),t_a)|X1=X2)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f11990,f26634])).
% 43.85/5.91 fof(f26894,plain,(
% 43.85/5.91 spl0_606 <=> ~c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),X0,t_a)=X0),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f26895,plain,(
% 43.85/5.91 ![X0]: (~c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),X0,t_a)=X0|~spl0_606)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f26894])).
% 43.85/5.91 fof(f26914,plain,(
% 43.85/5.91 ![X0,X1,X2]: (~c_HOL_Oplus__class_Oplus(X0,X1,t_a)=X1|c_HOL_Oplus__class_Oplus(X2,X0,t_a)=X2)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f12033,f26634])).
% 43.85/5.91 fof(f26916,plain,(
% 43.85/5.91 ![X0,X1,X2]: (~c_HOL_Oplus__class_Oplus(X0,X1,t_a)=X1|X2=c_HOL_Ominus__class_Ominus(X2,X0,t_a))),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f12023,f26634])).
% 43.85/5.91 fof(f26948,plain,(
% 43.85/5.91 spl0_607 <=> c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X2,X2,t_a),t_a)=X1|X2=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f26949,plain,(
% 43.85/5.91 ![X0,X1]: (c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X1,X1,t_a),t_a)=X0|X1=c_HOL_Ozero__class_Ozero(t_a)|~spl0_607)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f26948])).
% 43.85/5.91 fof(f26971,plain,(
% 43.85/5.91 spl0_608 <=> c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(t_a),t_a)=X1),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f26974,plain,(
% 43.85/5.91 ![X0,X1]: (~X0=X0|c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(t_a),t_a)=X1)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f5855,f26709])).
% 43.85/5.91 fof(f26975,plain,(
% 43.85/5.91 spl0_605|spl0_608),
% 43.85/5.91 inference(split_clause,[status(thm)],[f26974,f26805,f26971])).
% 43.85/5.91 fof(f26978,plain,(
% 43.85/5.91 $false|~spl0_605),
% 43.85/5.91 inference(trivial_equality_resolution,[status(esa)],[f26806])).
% 43.85/5.91 fof(f26979,plain,(
% 43.85/5.91 ~spl0_605),
% 43.85/5.91 inference(contradiction_clause,[status(thm)],[f26978])).
% 43.85/5.91 fof(f27053,plain,(
% 43.85/5.91 ![X0,X1,X2]: (c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat))),
% 43.85/5.91 inference(forward_demodulation,[status(thm)],[f1333,f1658])).
% 43.85/5.91 fof(f27054,plain,(
% 43.85/5.91 ![X0,X1,X2]: (c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat))),
% 43.85/5.91 inference(forward_demodulation,[status(thm)],[f1333,f27053])).
% 43.85/5.91 fof(f27349,plain,(
% 43.85/5.91 spl0_609 <=> c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X1,t_a),X2,t_a)=X2|X1=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f27350,plain,(
% 43.85/5.91 ![X0,X1]: (c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X0,t_a),X1,t_a)=X1|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_609)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f27349])).
% 43.85/5.91 fof(f27383,plain,(
% 43.85/5.91 spl0_610 <=> c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),X1,t_a)=X1),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f27386,plain,(
% 43.85/5.91 ![X0,X1]: (~X0=X0|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),X1,t_a)=X1)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f5855,f26710])).
% 43.85/5.91 fof(f27387,plain,(
% 43.85/5.91 spl0_605|spl0_610),
% 43.85/5.91 inference(split_clause,[status(thm)],[f27386,f26805,f27383])).
% 43.85/5.91 fof(f27397,plain,(
% 43.85/5.91 spl0_611 <=> ~X0=c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X1,X1,t_a),t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f27400,plain,(
% 43.85/5.91 ![X0,X1]: (~X0=c_HOL_Oplus__class_Oplus(X0,c_HOL_Oinverse__class_Odivide(X1,X1,t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f19379,f26711])).
% 43.85/5.91 fof(f27401,plain,(
% 43.85/5.91 spl0_611|spl0_5|~spl0_36),
% 43.85/5.91 inference(split_clause,[status(thm)],[f27400,f27397,f1775,f2228])).
% 43.85/5.91 fof(f27405,plain,(
% 43.85/5.91 spl0_612 <=> c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(t_a),t_a)=X2),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f27406,plain,(
% 43.85/5.91 ![X0]: (c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a)=X0|~spl0_612)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f27405])).
% 43.85/5.91 fof(f27475,plain,(
% 43.85/5.91 spl0_613 <=> ~X0=c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(t_a),t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f27476,plain,(
% 43.85/5.91 ![X0]: (~X0=c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(t_a),t_a)|~spl0_613)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f27475])).
% 43.85/5.91 fof(f27495,plain,(
% 43.85/5.91 ![X0,X1,X2]: (~X0=c_HOL_Ominus__class_Ominus(X0,X1,t_a)|X2=c_HOL_Ominus__class_Ominus(X2,X1,t_a))),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f12023,f26879])).
% 43.85/5.91 fof(f27510,plain,(
% 43.85/5.91 spl0_614 <=> ~c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,t_a),X1,t_a)=c_HOL_Oinverse__class_Odivide(X0,X1,t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f27513,plain,(
% 43.85/5.91 ![X0,X1,X2]: (~c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,t_a),X1,t_a)=c_HOL_Oinverse__class_Odivide(X0,X1,t_a)|c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(t_a),t_a)=X2|X1=c_HOL_Ozero__class_Ozero(t_a))),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f6360,f26914])).
% 43.85/5.91 fof(f27514,plain,(
% 43.85/5.91 spl0_614|spl0_612),
% 43.85/5.91 inference(split_clause,[status(thm)],[f27513,f27510,f27405])).
% 43.85/5.91 fof(f27515,plain,(
% 43.85/5.91 spl0_615 <=> ~c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,t_a),X0,t_a)=c_HOL_Oinverse__class_Odivide(X1,X0,t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f27518,plain,(
% 43.85/5.91 ![X0,X1,X2]: (~c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,t_a),X0,t_a)=c_HOL_Oinverse__class_Odivide(X1,X0,t_a)|c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(t_a),t_a)=X2|X0=c_HOL_Ozero__class_Ozero(t_a))),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f4262,f26914])).
% 43.85/5.91 fof(f27519,plain,(
% 43.85/5.91 spl0_615|spl0_612),
% 43.85/5.91 inference(split_clause,[status(thm)],[f27518,f27515,f27405])).
% 43.85/5.91 fof(f27545,plain,(
% 43.85/5.91 $false|spl0_5|~spl0_612),
% 43.85/5.91 inference(forward_subsumption_resolution,[status(thm)],[f27406,f25344])).
% 43.85/5.91 fof(f27546,plain,(
% 43.85/5.91 spl0_5|~spl0_612),
% 43.85/5.91 inference(contradiction_clause,[status(thm)],[f27545])).
% 43.85/5.91 fof(f27558,plain,(
% 43.85/5.91 spl0_616 <=> c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),X2,t_a)=X2),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f27559,plain,(
% 43.85/5.91 ![X0]: (c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),X0,t_a)=X0|~spl0_616)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f27558])).
% 43.85/5.91 fof(f27598,plain,(
% 43.85/5.91 spl0_617 <=> ~c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X0,t_a),X1,t_a)=X1|X0=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f27601,plain,(
% 43.85/5.91 ![X0,X1]: (~c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X0,t_a),X1,t_a)=X1|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f19379,f26916])).
% 43.85/5.91 fof(f27602,plain,(
% 43.85/5.91 spl0_617|spl0_5|~spl0_36),
% 43.85/5.91 inference(split_clause,[status(thm)],[f27601,f27598,f1775,f2228])).
% 43.85/5.91 fof(f27603,plain,(
% 43.85/5.91 spl0_618 <=> ~c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),X0,t_a)=X0),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f27606,plain,(
% 43.85/5.91 ![X0,X1]: (~c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),X0,t_a)=X0|c_HOL_Oinverse__class_Odivide(X1,X1,t_a)=c_HOL_Ozero__class_Ozero(t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f17692,f26916])).
% 43.85/5.91 fof(f27607,plain,(
% 43.85/5.91 spl0_618|spl0_62|~spl0_36),
% 43.85/5.91 inference(split_clause,[status(thm)],[f27606,f27603,f2636,f2228])).
% 43.85/5.91 fof(f27950,plain,(
% 43.85/5.91 spl0_620 <=> c_lessequals(c_HOL_Ominus__class_Ominus(c_Suc(X0),X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)|c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),t_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(t_a),X0,t_a),t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f27953,plain,(
% 43.85/5.91 ![X0,X1,X2]: (c_lessequals(c_HOL_Ominus__class_Ominus(c_Suc(X0),X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)|c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),t_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(t_a),X0,t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_435)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f12707,f24495])).
% 43.85/5.91 fof(f27954,plain,(
% 43.85/5.91 spl0_620|spl0_5|~spl0_435),
% 43.85/5.91 inference(split_clause,[status(thm)],[f27953,f27950,f1775,f14409])).
% 43.85/5.91 fof(f27959,plain,(
% 43.85/5.91 spl0_621 <=> c_lessequals(c_HOL_Ominus__class_Ominus(c_Suc(X0),X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)|c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),t_a)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(t_a),X2,t_a),c_HOL_Oone__class_Oone(t_a),t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f27962,plain,(
% 43.85/5.91 ![X0,X1,X2]: (c_lessequals(c_HOL_Ominus__class_Ominus(c_Suc(X0),X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)|c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),t_a)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(t_a),X2,t_a),c_HOL_Oone__class_Oone(t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_435)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f12707,f24495])).
% 43.85/5.91 fof(f27963,plain,(
% 43.85/5.91 spl0_621|spl0_5|~spl0_435),
% 43.85/5.91 inference(split_clause,[status(thm)],[f27962,f27959,f1775,f14409])).
% 43.85/5.91 fof(f28072,plain,(
% 43.85/5.91 ~c_HOL_Oord__class_Oless(c_Suc(v_m),v_n,tc_nat)|~spl0_3|~spl0_436),
% 43.85/5.91 inference(resolution,[status(thm)],[f1719,f14852])).
% 43.85/5.91 fof(f28090,plain,(
% 43.85/5.91 spl0_627 <=> c_lessequals(v_m,v_n,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f28092,plain,(
% 43.85/5.91 ~c_lessequals(v_m,v_n,tc_nat)|spl0_627),
% 43.85/5.91 inference(component_clause,[status(thm)],[f28090])).
% 43.85/5.91 fof(f28186,plain,(
% 43.85/5.91 ~c_HOL_Oord__class_Oless(c_Suc(v_m),v_n,tc_nat)|spl0_627|~spl0_436),
% 43.85/5.91 inference(resolution,[status(thm)],[f28092,f14902])).
% 43.85/5.91 fof(f28189,plain,(
% 43.85/5.91 c_HOL_Oord__class_Oless(v_n,v_m,tc_nat)|spl0_627),
% 43.85/5.91 inference(resolution,[status(thm)],[f28092,f9822])).
% 43.85/5.91 fof(f28305,plain,(
% 43.85/5.91 spl0_638 <=> c_Suc(v_m)=v_n),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f28306,plain,(
% 43.85/5.91 c_Suc(v_m)=v_n|~spl0_638),
% 43.85/5.91 inference(component_clause,[status(thm)],[f28305])).
% 43.85/5.91 fof(f28308,plain,(
% 43.85/5.91 spl0_639 <=> c_HOL_Oord__class_Oless(v_m,v_n,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f28310,plain,(
% 43.85/5.91 ~c_HOL_Oord__class_Oless(v_m,v_n,tc_nat)|spl0_639),
% 43.85/5.91 inference(component_clause,[status(thm)],[f28308])).
% 43.85/5.91 fof(f28311,plain,(
% 43.85/5.91 c_Suc(v_m)=v_n|~c_HOL_Oord__class_Oless(v_m,v_n,tc_nat)|~spl0_3|~spl0_436),
% 43.85/5.91 inference(resolution,[status(thm)],[f28072,f730])).
% 43.85/5.91 fof(f28312,plain,(
% 43.85/5.91 spl0_638|~spl0_639|~spl0_3|~spl0_436),
% 43.85/5.91 inference(split_clause,[status(thm)],[f28311,f28305,f28308,f1718,f14415])).
% 43.85/5.91 fof(f28559,plain,(
% 43.85/5.91 ~c_HOL_Oord__class_Oless(v_n,v_m,tc_nat)|~spl0_638),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f28306,f4345])).
% 43.85/5.91 fof(f28560,plain,(
% 43.85/5.91 $false|spl0_627|~spl0_638),
% 43.85/5.91 inference(forward_subsumption_resolution,[status(thm)],[f28559,f28189])).
% 43.85/5.91 fof(f28561,plain,(
% 43.85/5.91 spl0_627|~spl0_638),
% 43.85/5.91 inference(contradiction_clause,[status(thm)],[f28560])).
% 43.85/5.91 fof(f29050,plain,(
% 43.85/5.91 spl0_649 <=> c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_HOL_Oone__class_Oone(t_a),t_a),X0,t_a)=c_HOL_Oone__class_Oone(t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f29053,plain,(
% 43.85/5.91 ![X0]: (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_HOL_Oone__class_Oone(t_a),t_a),X0,t_a)=c_HOL_Oone__class_Oone(t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a))),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f12707,f7104])).
% 43.85/5.91 fof(f29054,plain,(
% 43.85/5.91 spl0_649|spl0_5),
% 43.85/5.91 inference(split_clause,[status(thm)],[f29053,f29050,f1775])).
% 43.85/5.91 fof(f29055,plain,(
% 43.85/5.91 spl0_650 <=> c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X0,t_a),c_HOL_Ozero__class_Ozero(tc_nat),t_a)=c_HOL_Oone__class_Oone(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f29058,plain,(
% 43.85/5.91 ![X0]: (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X0,t_a),c_HOL_Ozero__class_Ozero(tc_nat),t_a)=c_HOL_Oone__class_Oone(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a))),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f17591,f7104])).
% 43.85/5.91 fof(f29059,plain,(
% 43.85/5.91 spl0_650|spl0_5),
% 43.85/5.91 inference(split_clause,[status(thm)],[f29058,f29055,f1775])).
% 43.85/5.91 fof(f29177,plain,(
% 43.85/5.91 spl0_657 <=> ~X0=c_HOL_Ominus__class_Ominus(X0,c_HOL_Oinverse__class_Odivide(X1,X1,t_a),t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f29180,plain,(
% 43.85/5.91 ![X0,X1]: (~X0=c_HOL_Ominus__class_Ominus(X0,c_HOL_Oinverse__class_Odivide(X1,X1,t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f19379,f27495])).
% 43.85/5.91 fof(f29181,plain,(
% 43.85/5.91 spl0_657|spl0_5|~spl0_36),
% 43.85/5.91 inference(split_clause,[status(thm)],[f29180,f29177,f1775,f2228])).
% 43.85/5.91 fof(f29182,plain,(
% 43.85/5.91 spl0_658 <=> ~X0=c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(t_a),t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f29185,plain,(
% 43.85/5.91 ![X0,X1]: (~X0=c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(t_a),t_a)|c_HOL_Oinverse__class_Odivide(X1,X1,t_a)=c_HOL_Ozero__class_Ozero(t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f17692,f27495])).
% 43.85/5.91 fof(f29186,plain,(
% 43.85/5.91 spl0_658|spl0_62|~spl0_36),
% 43.85/5.91 inference(split_clause,[status(thm)],[f29185,f29182,f2636,f2228])).
% 43.85/5.91 fof(f29204,plain,(
% 43.85/5.91 spl0_659 <=> c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a),c_Suc(X0),t_a)=c_HOL_Oone__class_Oone(t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f29205,plain,(
% 43.85/5.91 ![X0]: (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a),c_Suc(X0),t_a)=c_HOL_Oone__class_Oone(t_a)|~spl0_659)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f29204])).
% 43.85/5.91 fof(f29210,plain,(
% 43.85/5.91 c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(tc_nat),t_a)=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f12796,f25166])).
% 43.85/5.91 fof(f29302,plain,(
% 43.85/5.91 ![X0]: (~X0=c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_6)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f1779,f25342])).
% 43.85/5.91 fof(f29303,plain,(
% 43.85/5.91 spl0_604|spl0_5|~spl0_6),
% 43.85/5.91 inference(split_clause,[status(thm)],[f29302,f26788,f1775,f1778])).
% 43.85/5.91 fof(f29374,plain,(
% 43.85/5.91 ![X0]: (~c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_Suc(c_HOL_Ozero__class_Ozero(t_a)),c_HOL_Ozero__class_Ozero(t_a),t_a),t_a),X0,t_a)=X0)),
% 43.85/5.91 inference(resolution,[status(thm)],[f26589,f25392])).
% 43.85/5.91 fof(f29375,plain,(
% 43.85/5.91 ![X0]: (~c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(c_Suc(c_HOL_Ozero__class_Ozero(t_a)),t_a),X0,t_a)=X0)),
% 43.85/5.91 inference(forward_demodulation,[status(thm)],[f5855,f29374])).
% 43.85/5.91 fof(f29399,plain,(
% 43.85/5.91 spl0_672 <=> c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a),c_HOL_Oone__class_Oone(tc_nat),t_a)=c_HOL_Oone__class_Oone(t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f29400,plain,(
% 43.85/5.91 c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a),c_HOL_Oone__class_Oone(tc_nat),t_a)=c_HOL_Oone__class_Oone(t_a)|~spl0_672),
% 43.85/5.91 inference(component_clause,[status(thm)],[f29399])).
% 43.85/5.91 fof(f29560,plain,(
% 43.85/5.91 spl0_682 <=> ~c_HOL_Oord__class_Oless(c_Suc(X0),c_HOL_Oone__class_Oone(tc_nat),tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f29563,plain,(
% 43.85/5.91 ![X0]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_Suc(X0),c_HOL_Oone__class_Oone(tc_nat),tc_nat)|~spl0_435|~spl0_175)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f16452,f1055])).
% 43.85/5.91 fof(f29564,plain,(
% 43.85/5.91 spl0_235|spl0_682|~spl0_435|~spl0_175),
% 43.85/5.91 inference(split_clause,[status(thm)],[f29563,f10188,f29560,f14409,f5193])).
% 43.85/5.91 fof(f29566,plain,(
% 43.85/5.91 spl0_683 <=> ~c_HOL_Oord__class_Oless(c_Suc(X0),c_Divides_Odiv__class_Omod(X0,X1,tc_nat),tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f29569,plain,(
% 43.85/5.91 ![X0,X1]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_Suc(X0),c_Divides_Odiv__class_Omod(X0,X1,tc_nat),tc_nat)|~spl0_436|~spl0_175)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f14908,f1055])).
% 43.85/5.91 fof(f29570,plain,(
% 43.85/5.91 spl0_235|spl0_683|~spl0_436|~spl0_175),
% 43.85/5.91 inference(split_clause,[status(thm)],[f29569,f10188,f29566,f14415,f5193])).
% 43.85/5.91 fof(f29571,plain,(
% 43.85/5.91 spl0_684 <=> ~c_HOL_Oord__class_Oless(X0,c_Divides_Odiv__class_Omod(X0,X1,tc_nat),tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f29574,plain,(
% 43.85/5.91 ![X0,X1]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X0,c_Divides_Odiv__class_Omod(X0,X1,tc_nat),tc_nat))),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f6460,f1055])).
% 43.85/5.91 fof(f29575,plain,(
% 43.85/5.91 spl0_235|spl0_684),
% 43.85/5.91 inference(split_clause,[status(thm)],[f29574,f10188,f29571])).
% 43.85/5.91 fof(f29577,plain,(
% 43.85/5.91 spl0_685 <=> ~c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f29580,plain,(
% 43.85/5.91 ![X0]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f1334,f1055])).
% 43.85/5.91 fof(f29581,plain,(
% 43.85/5.91 spl0_235|spl0_685),
% 43.85/5.91 inference(split_clause,[status(thm)],[f29580,f10188,f29577])).
% 43.85/5.91 fof(f29586,plain,(
% 43.85/5.91 spl0_686 <=> ~c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat))),X1,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f29589,plain,(
% 43.85/5.91 ![X0,X1]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat))),X1,tc_nat)|~spl0_175)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f6694,f1055])).
% 43.85/5.91 fof(f29590,plain,(
% 43.85/5.91 spl0_235|spl0_686|~spl0_175),
% 43.85/5.91 inference(split_clause,[status(thm)],[f29589,f10188,f29586,f5193])).
% 43.85/5.91 fof(f29591,plain,(
% 43.85/5.91 spl0_687 <=> ~c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat))),X0,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f29594,plain,(
% 43.85/5.91 ![X0,X1]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat))),X0,tc_nat)|~spl0_175)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f6667,f1055])).
% 43.85/5.91 fof(f29595,plain,(
% 43.85/5.91 spl0_235|spl0_687|~spl0_175),
% 43.85/5.91 inference(split_clause,[status(thm)],[f29594,f10188,f29591,f5193])).
% 43.85/5.91 fof(f29596,plain,(
% 43.85/5.91 spl0_688 <=> ~c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(c_Suc(X0)))),X0,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f29599,plain,(
% 43.85/5.91 ![X0]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(c_Suc(X0)))),X0,tc_nat)|~spl0_175)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f6879,f1055])).
% 43.85/5.91 fof(f29600,plain,(
% 43.85/5.91 spl0_235|spl0_688|~spl0_175),
% 43.85/5.91 inference(split_clause,[status(thm)],[f29599,f10188,f29596,f5193])).
% 43.85/5.91 fof(f29601,plain,(
% 43.85/5.91 spl0_689 <=> ~c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(X0))),X0,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f29604,plain,(
% 43.85/5.91 ![X0]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(X0))),X0,tc_nat)|~spl0_175)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f6684,f1055])).
% 43.85/5.91 fof(f29605,plain,(
% 43.85/5.91 spl0_235|spl0_689|~spl0_175),
% 43.85/5.91 inference(split_clause,[status(thm)],[f29604,f10188,f29601,f5193])).
% 43.85/5.91 fof(f29606,plain,(
% 43.85/5.91 ![X0]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_Suc(c_Suc(X0)),X0,tc_nat)|~spl0_175)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f6369,f1055])).
% 43.85/5.91 fof(f29607,plain,(
% 43.85/5.91 spl0_235|spl0_497|~spl0_175),
% 43.85/5.91 inference(split_clause,[status(thm)],[f29606,f10188,f18304,f5193])).
% 43.85/5.91 fof(f29608,plain,(
% 43.85/5.91 spl0_690 <=> ~c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(c_Suc(X0),X1,tc_nat)),X0,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f29611,plain,(
% 43.85/5.91 ![X0,X1]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(c_Suc(X0),X1,tc_nat)),X0,tc_nat)|~spl0_175)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f8619,f1055])).
% 43.85/5.91 fof(f29612,plain,(
% 43.85/5.91 spl0_235|spl0_690|~spl0_175),
% 43.85/5.91 inference(split_clause,[status(thm)],[f29611,f10188,f29608,f5193])).
% 43.85/5.91 fof(f29613,plain,(
% 43.85/5.91 spl0_691 <=> ~c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(X0,c_Suc(X1),tc_nat)),X1,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f29616,plain,(
% 43.85/5.91 ![X0,X1]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(X0,c_Suc(X1),tc_nat)),X1,tc_nat)|~spl0_175)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f8633,f1055])).
% 43.85/5.91 fof(f29617,plain,(
% 43.85/5.91 spl0_235|spl0_691|~spl0_175),
% 43.85/5.91 inference(split_clause,[status(thm)],[f29616,f10188,f29613,f5193])).
% 43.85/5.91 fof(f29618,plain,(
% 43.85/5.91 spl0_692 <=> ~c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)),X0,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f29621,plain,(
% 43.85/5.91 ![X0,X1]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)),X0,tc_nat)|~spl0_175)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f5438,f1055])).
% 43.85/5.91 fof(f29622,plain,(
% 43.85/5.91 spl0_235|spl0_692|~spl0_175),
% 43.85/5.91 inference(split_clause,[status(thm)],[f29621,f10188,f29618,f5193])).
% 43.85/5.91 fof(f29623,plain,(
% 43.85/5.91 spl0_693 <=> ~c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)),X1,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f29626,plain,(
% 43.85/5.91 ![X0,X1]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)),X1,tc_nat)|~spl0_175)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f5407,f1055])).
% 43.85/5.91 fof(f29627,plain,(
% 43.85/5.91 spl0_235|spl0_693|~spl0_175),
% 43.85/5.91 inference(split_clause,[status(thm)],[f29626,f10188,f29623,f5193])).
% 43.85/5.91 fof(f29628,plain,(
% 43.85/5.91 ![X0]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_Suc(X0),X0,tc_nat))),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f3660,f1055])).
% 43.85/5.91 fof(f29629,plain,(
% 43.85/5.91 spl0_235|spl0_450),
% 43.85/5.91 inference(split_clause,[status(thm)],[f29628,f10188,f14922])).
% 43.85/5.91 fof(f29630,plain,(
% 43.85/5.91 spl0_694 <=> ~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_Suc(c_Suc(X0)),X1,tc_nat),X0,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f29633,plain,(
% 43.85/5.91 ![X0,X1]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_Suc(c_Suc(X0)),X1,tc_nat),X0,tc_nat)|~spl0_175)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f6647,f1055])).
% 43.85/5.91 fof(f29634,plain,(
% 43.85/5.91 spl0_235|spl0_694|~spl0_175),
% 43.85/5.91 inference(split_clause,[status(thm)],[f29633,f10188,f29630,f5193])).
% 43.85/5.91 fof(f29635,plain,(
% 43.85/5.91 spl0_695 <=> ~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_Suc(X0),X1,tc_nat),X0,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f29638,plain,(
% 43.85/5.91 ![X0,X1]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_Suc(X0),X1,tc_nat),X0,tc_nat)|~spl0_175)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f5368,f1055])).
% 43.85/5.91 fof(f29639,plain,(
% 43.85/5.91 spl0_235|spl0_695|~spl0_175),
% 43.85/5.91 inference(split_clause,[status(thm)],[f29638,f10188,f29635,f5193])).
% 43.85/5.91 fof(f29640,plain,(
% 43.85/5.91 spl0_696 <=> ~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_Suc(X2),tc_nat),tc_nat),X2,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f29643,plain,(
% 43.85/5.91 ![X0,X1,X2]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_Suc(X2),tc_nat),tc_nat),X2,tc_nat)|~spl0_175)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f5502,f1055])).
% 43.85/5.91 fof(f29644,plain,(
% 43.85/5.91 spl0_235|spl0_696|~spl0_175),
% 43.85/5.91 inference(split_clause,[status(thm)],[f29643,f10188,f29640,f5193])).
% 43.85/5.91 fof(f29645,plain,(
% 43.85/5.91 spl0_697 <=> ~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_Suc(c_Suc(X1)),tc_nat),X1,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f29648,plain,(
% 43.85/5.91 ![X0,X1]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_Suc(c_Suc(X1)),tc_nat),X1,tc_nat)|~spl0_175)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f6712,f1055])).
% 43.85/5.91 fof(f29649,plain,(
% 43.85/5.91 spl0_235|spl0_697|~spl0_175),
% 43.85/5.91 inference(split_clause,[status(thm)],[f29648,f10188,f29645,f5193])).
% 43.85/5.91 fof(f29650,plain,(
% 43.85/5.91 spl0_698 <=> ~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_Suc(X1),tc_nat),X1,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f29653,plain,(
% 43.85/5.91 ![X0,X1]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_Suc(X1),tc_nat),X1,tc_nat)|~spl0_175)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f5357,f1055])).
% 43.85/5.91 fof(f29654,plain,(
% 43.85/5.91 spl0_235|spl0_698|~spl0_175),
% 43.85/5.91 inference(split_clause,[status(thm)],[f29653,f10188,f29650,f5193])).
% 43.85/5.91 fof(f29657,plain,(
% 43.85/5.91 ![X0,X1]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X0,tc_nat))),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f713,f1055])).
% 43.85/5.91 fof(f29658,plain,(
% 43.85/5.91 spl0_235|spl0_516),
% 43.85/5.91 inference(split_clause,[status(thm)],[f29657,f10188,f20023])).
% 43.85/5.91 fof(f29659,plain,(
% 43.85/5.91 ![X0,X1]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X1,tc_nat))),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f1819,f1055])).
% 43.85/5.91 fof(f29660,plain,(
% 43.85/5.91 spl0_235|spl0_499),
% 43.85/5.91 inference(split_clause,[status(thm)],[f29659,f10188,f18495])).
% 43.85/5.91 fof(f29661,plain,(
% 43.85/5.91 spl0_699 <=> ~c_HOL_Oord__class_Oless(X0,X1,tc_nat)|c_Divides_Odiv__class_Omod(X0,X1,tc_nat)=X0),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f29664,plain,(
% 43.85/5.91 ![X0,X1]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X0,X1,tc_nat)|c_Divides_Odiv__class_Omod(X0,X1,tc_nat)=X0|~spl0_175)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f9234,f1055])).
% 43.85/5.91 fof(f29665,plain,(
% 43.85/5.91 spl0_235|spl0_699|~spl0_175),
% 43.85/5.91 inference(split_clause,[status(thm)],[f29664,f10188,f29661,f5193])).
% 43.85/5.91 fof(f29666,plain,(
% 43.85/5.91 ![X0]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X0,X0,tc_nat))),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f1331,f1055])).
% 43.85/5.91 fof(f29667,plain,(
% 43.85/5.91 spl0_235|spl0_445),
% 43.85/5.91 inference(split_clause,[status(thm)],[f29666,f10188,f14666])).
% 43.85/5.91 fof(f29670,plain,(
% 43.85/5.91 ![X0,X1]: (~c_Power_Opower__class_Opower(X0,X1,t_a)=c_HOL_Ozero__class_Ozero(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a))),
% 43.85/5.91 inference(resolution,[status(thm)],[f23311,f1661])).
% 43.85/5.91 fof(f29817,plain,(
% 43.85/5.91 ![X0,X1,X2]: (X0=c_HOL_Ozero__class_Ozero(tc_nat)|c_lessequals(c_HOL_Ominus__class_Ominus(c_GCD_Ogcd__class_Ogcd(X1,X0,tc_nat),X2,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)|~spl0_435)),
% 43.85/5.91 inference(resolution,[status(thm)],[f1095,f23778])).
% 43.85/5.91 fof(f29855,plain,(
% 43.85/5.91 ![X0,X1]: (X0=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Oord__class_Oless(X0,c_GCD_Ogcd__class_Ogcd(X1,X0,tc_nat),tc_nat))),
% 43.85/5.91 inference(resolution,[status(thm)],[f1095,f8203])).
% 43.85/5.91 fof(f29865,plain,(
% 43.85/5.91 spl0_703 <=> c_lessequals(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f29868,plain,(
% 43.85/5.91 c_lessequals(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)|c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f11111,f1095])).
% 43.85/5.91 fof(f29869,plain,(
% 43.85/5.91 spl0_703|spl0_208),
% 43.85/5.91 inference(split_clause,[status(thm)],[f29868,f29865,f8354])).
% 43.85/5.91 fof(f30070,plain,(
% 43.85/5.91 spl0_706 <=> v_m=v_m),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f30072,plain,(
% 43.85/5.91 ~v_m=v_m|spl0_706),
% 43.85/5.91 inference(component_clause,[status(thm)],[f30070])).
% 43.85/5.91 fof(f30083,plain,(
% 43.85/5.91 $false|spl0_706),
% 43.85/5.91 inference(trivial_equality_resolution,[status(esa)],[f30072])).
% 43.85/5.91 fof(f30084,plain,(
% 43.85/5.91 spl0_706),
% 43.85/5.91 inference(contradiction_clause,[status(thm)],[f30083])).
% 43.85/5.91 fof(f30085,plain,(
% 43.85/5.91 spl0_709 <=> c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat)=c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f30087,plain,(
% 43.85/5.91 ~c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat)=c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat)|spl0_709),
% 43.85/5.91 inference(component_clause,[status(thm)],[f30085])).
% 43.85/5.91 fof(f30175,plain,(
% 43.85/5.91 $false|spl0_709),
% 43.85/5.91 inference(trivial_equality_resolution,[status(esa)],[f30087])).
% 43.85/5.91 fof(f30176,plain,(
% 43.85/5.91 spl0_709),
% 43.85/5.91 inference(contradiction_clause,[status(thm)],[f30175])).
% 43.85/5.91 fof(f30704,plain,(
% 43.85/5.91 c_Suc(v_m)=v_n|~c_HOL_Oord__class_Oless(v_m,v_n,tc_nat)|spl0_627|~spl0_436),
% 43.85/5.91 inference(resolution,[status(thm)],[f28186,f730])).
% 43.85/5.91 fof(f30705,plain,(
% 43.85/5.91 spl0_638|~spl0_639|spl0_627|~spl0_436),
% 43.85/5.91 inference(split_clause,[status(thm)],[f30704,f28305,f28308,f28090,f14415])).
% 43.85/5.91 fof(f30996,plain,(
% 43.85/5.91 spl0_725 <=> c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat),tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f30998,plain,(
% 43.85/5.91 ~c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat),tc_nat)|spl0_725),
% 43.85/5.91 inference(component_clause,[status(thm)],[f30996])).
% 43.85/5.91 fof(f31026,plain,(
% 43.85/5.91 $false|spl0_725),
% 43.85/5.91 inference(forward_subsumption_resolution,[status(thm)],[f30998,f1311])).
% 43.85/5.91 fof(f31027,plain,(
% 43.85/5.91 spl0_725),
% 43.85/5.91 inference(contradiction_clause,[status(thm)],[f31026])).
% 43.85/5.91 fof(f31055,plain,(
% 43.85/5.91 ![X0]: (~X0=c_HOL_Ominus__class_Ominus(X0,c_HOL_Oinverse__class_Oinverse(c_Suc(c_HOL_Ozero__class_Ozero(t_a)),t_a),t_a))),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f11990,f29375])).
% 43.85/5.91 fof(f31067,plain,(
% 43.85/5.91 ~c_HOL_Oinverse__class_Oinverse(c_Suc(c_HOL_Ozero__class_Ozero(t_a)),t_a)=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f5855,f29375])).
% 43.85/5.91 fof(f31075,plain,(
% 43.85/5.91 ![X0,X1]: (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X0,t_a),X1,t_a)=c_HOL_Oone__class_Oone(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a))),
% 43.85/5.91 inference(forward_subsumption_resolution,[status(thm)],[f7108,f29670])).
% 43.85/5.91 fof(f31078,plain,(
% 43.85/5.91 spl0_730 <=> c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(t_a),X0,t_a)=c_HOL_Oone__class_Oone(t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f31100,plain,(
% 43.85/5.91 spl0_732 <=> c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),X0,t_a)=c_HOL_Oone__class_Oone(t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f31103,plain,(
% 43.85/5.91 ![X0]: (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),X0,t_a)=c_HOL_Oone__class_Oone(t_a)|c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a))),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f1758,f31075])).
% 43.85/5.91 fof(f31104,plain,(
% 43.85/5.91 spl0_732|spl0_5),
% 43.85/5.91 inference(split_clause,[status(thm)],[f31103,f31100,f1775])).
% 43.85/5.91 fof(f31107,plain,(
% 43.85/5.91 spl0_733 <=> c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X0,t_a),X1,t_a)=c_HOL_Oone__class_Oone(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f31110,plain,(
% 43.85/5.91 ![X0,X1,X2]: (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X0,t_a),X1,t_a)=c_HOL_Oone__class_Oone(t_a)|X2=c_HOL_Ozero__class_Ozero(t_a)|X0=c_HOL_Ozero__class_Ozero(t_a)|X2=c_HOL_Ozero__class_Ozero(t_a)|~spl0_36)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f2630,f31075])).
% 43.85/5.91 fof(f31111,plain,(
% 43.85/5.91 spl0_733|spl0_13|~spl0_36),
% 43.85/5.91 inference(split_clause,[status(thm)],[f31110,f31107,f1931,f2228])).
% 43.85/5.91 fof(f31114,plain,(
% 43.85/5.91 ![X0,X1]: (c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(t_a),X0,t_a)=c_HOL_Oone__class_Oone(t_a)|X1=c_HOL_Ozero__class_Ozero(t_a)|X1=c_HOL_Ozero__class_Ozero(t_a))),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f1774,f31075])).
% 43.85/5.91 fof(f31115,plain,(
% 43.85/5.91 spl0_730|spl0_13),
% 43.85/5.91 inference(split_clause,[status(thm)],[f31114,f31078,f1931])).
% 43.85/5.91 fof(f31195,plain,(
% 43.85/5.91 spl0_735 <=> c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f31198,plain,(
% 43.85/5.91 c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)),
% 43.85/5.91 inference(paramodulation,[status(thm)],[f11111,f29855])).
% 43.85/5.91 fof(f31199,plain,(
% 43.85/5.91 spl0_208|~spl0_735),
% 43.85/5.91 inference(split_clause,[status(thm)],[f31198,f8354,f31195])).
% 43.85/5.91 fof(f31308,plain,(
% 43.85/5.91 spl0_737 <=> c_HOL_Oord__class_Oless(c_Suc(X0),c_HOL_Oone__class_Oone(tc_nat),tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f31309,plain,(
% 43.85/5.91 ![X0]: (c_HOL_Oord__class_Oless(c_Suc(X0),c_HOL_Oone__class_Oone(tc_nat),tc_nat)|~spl0_737)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f31308])).
% 43.85/5.91 fof(f31314,plain,(
% 43.85/5.91 spl0_738 <=> c_HOL_Oord__class_Oless(c_Suc(X0),c_Divides_Odiv__class_Omod(X0,X1,tc_nat),tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f31315,plain,(
% 43.85/5.91 ![X0,X1]: (c_HOL_Oord__class_Oless(c_Suc(X0),c_Divides_Odiv__class_Omod(X0,X1,tc_nat),tc_nat)|~spl0_738)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f31314])).
% 43.85/5.91 fof(f31319,plain,(
% 43.85/5.91 spl0_739 <=> c_HOL_Oord__class_Oless(X0,c_Divides_Odiv__class_Omod(X0,X1,tc_nat),tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f31320,plain,(
% 43.85/5.91 ![X0,X1]: (c_HOL_Oord__class_Oless(X0,c_Divides_Odiv__class_Omod(X0,X1,tc_nat),tc_nat)|~spl0_739)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f31319])).
% 43.85/5.91 fof(f31325,plain,(
% 43.85/5.91 spl0_740 <=> c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f31326,plain,(
% 43.85/5.91 ![X0]: (c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)|~spl0_740)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f31325])).
% 43.85/5.91 fof(f31334,plain,(
% 43.85/5.91 spl0_741 <=> c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat))),X1,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f31335,plain,(
% 43.85/5.91 ![X0,X1]: (c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat))),X1,tc_nat)|~spl0_741)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f31334])).
% 43.85/5.91 fof(f31339,plain,(
% 43.85/5.91 spl0_742 <=> c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat))),X0,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f31340,plain,(
% 43.85/5.91 ![X0,X1]: (c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat))),X0,tc_nat)|~spl0_742)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f31339])).
% 43.85/5.91 fof(f31344,plain,(
% 43.85/5.91 spl0_743 <=> c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(c_Suc(X0)))),X0,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f31345,plain,(
% 43.85/5.91 ![X0]: (c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(c_Suc(X0)))),X0,tc_nat)|~spl0_743)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f31344])).
% 43.85/5.91 fof(f31349,plain,(
% 43.85/5.91 spl0_744 <=> c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(X0))),X0,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f31350,plain,(
% 43.85/5.91 ![X0]: (c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(X0))),X0,tc_nat)|~spl0_744)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f31349])).
% 43.85/5.91 fof(f31354,plain,(
% 43.85/5.91 spl0_745 <=> c_HOL_Oord__class_Oless(c_Suc(c_Suc(X0)),X0,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f31355,plain,(
% 43.85/5.91 ![X0]: (c_HOL_Oord__class_Oless(c_Suc(c_Suc(X0)),X0,tc_nat)|~spl0_745)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f31354])).
% 43.85/5.91 fof(f31359,plain,(
% 43.85/5.91 spl0_746 <=> c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(c_Suc(X0),X1,tc_nat)),X0,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f31360,plain,(
% 43.85/5.91 ![X0,X1]: (c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(c_Suc(X0),X1,tc_nat)),X0,tc_nat)|~spl0_746)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f31359])).
% 43.85/5.91 fof(f31364,plain,(
% 43.85/5.91 spl0_747 <=> c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(X0,c_Suc(X1),tc_nat)),X1,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f31365,plain,(
% 43.85/5.91 ![X0,X1]: (c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(X0,c_Suc(X1),tc_nat)),X1,tc_nat)|~spl0_747)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f31364])).
% 43.85/5.91 fof(f31369,plain,(
% 43.85/5.91 spl0_748 <=> c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)),X0,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f31370,plain,(
% 43.85/5.91 ![X0,X1]: (c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)),X0,tc_nat)|~spl0_748)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f31369])).
% 43.85/5.91 fof(f31374,plain,(
% 43.85/5.91 spl0_749 <=> c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)),X1,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f31375,plain,(
% 43.85/5.91 ![X0,X1]: (c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)),X1,tc_nat)|~spl0_749)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f31374])).
% 43.85/5.91 fof(f31379,plain,(
% 43.85/5.91 spl0_750 <=> c_HOL_Oord__class_Oless(c_Suc(X0),X0,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f31380,plain,(
% 43.85/5.91 ![X0]: (c_HOL_Oord__class_Oless(c_Suc(X0),X0,tc_nat)|~spl0_750)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f31379])).
% 43.85/5.91 fof(f31384,plain,(
% 43.85/5.91 spl0_751 <=> c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_Suc(c_Suc(X0)),X1,tc_nat),X0,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f31385,plain,(
% 43.85/5.91 ![X0,X1]: (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_Suc(c_Suc(X0)),X1,tc_nat),X0,tc_nat)|~spl0_751)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f31384])).
% 43.85/5.91 fof(f31389,plain,(
% 43.85/5.91 spl0_752 <=> c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_Suc(X0),X1,tc_nat),X0,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f31390,plain,(
% 43.85/5.91 ![X0,X1]: (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_Suc(X0),X1,tc_nat),X0,tc_nat)|~spl0_752)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f31389])).
% 43.85/5.91 fof(f31399,plain,(
% 43.85/5.91 spl0_754 <=> c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_Suc(c_Suc(X1)),tc_nat),X1,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f31400,plain,(
% 43.85/5.91 ![X0,X1]: (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_Suc(c_Suc(X1)),tc_nat),X1,tc_nat)|~spl0_754)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f31399])).
% 43.85/5.91 fof(f31404,plain,(
% 43.85/5.91 spl0_755 <=> c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_Suc(X1),tc_nat),X1,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f31405,plain,(
% 43.85/5.91 ![X0,X1]: (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_Suc(X1),tc_nat),X1,tc_nat)|~spl0_755)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f31404])).
% 43.85/5.91 fof(f31411,plain,(
% 43.85/5.91 spl0_756 <=> c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X0,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f31412,plain,(
% 43.85/5.91 ![X0,X1]: (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X0,tc_nat)|~spl0_756)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f31411])).
% 43.85/5.91 fof(f31416,plain,(
% 43.85/5.91 spl0_757 <=> c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X1,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f31417,plain,(
% 43.85/5.91 ![X0,X1]: (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X1,tc_nat)|~spl0_757)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f31416])).
% 43.85/5.91 fof(f31421,plain,(
% 43.85/5.91 spl0_758 <=> c_HOL_Oord__class_Oless(X0,X1,tc_nat)|c_Divides_Odiv__class_Omod(X0,X1,tc_nat)=X0),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f31422,plain,(
% 43.85/5.91 ![X0,X1]: (c_HOL_Oord__class_Oless(X0,X1,tc_nat)|c_Divides_Odiv__class_Omod(X0,X1,tc_nat)=X0|~spl0_758)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f31421])).
% 43.85/5.91 fof(f31426,plain,(
% 43.85/5.91 spl0_759 <=> c_HOL_Oord__class_Oless(X0,X0,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f31427,plain,(
% 43.85/5.91 ![X0]: (c_HOL_Oord__class_Oless(X0,X0,tc_nat)|~spl0_759)),
% 43.85/5.91 inference(component_clause,[status(thm)],[f31426])).
% 43.85/5.91 fof(f31431,plain,(
% 43.85/5.91 spl0_760 <=> ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)|c_Suc(c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat))=c_HOL_Oone__class_Oone(tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f31434,plain,(
% 43.85/5.91 ![X0]: (~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)|c_Suc(c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat))=c_HOL_Oone__class_Oone(tc_nat)|~spl0_435)),
% 43.85/5.91 inference(resolution,[status(thm)],[f1472,f16448])).
% 43.85/5.91 fof(f31435,plain,(
% 43.85/5.91 ~spl0_521|spl0_760|~spl0_435),
% 43.85/5.91 inference(split_clause,[status(thm)],[f31434,f20568,f31431,f14409])).
% 43.85/5.91 fof(f31436,plain,(
% 43.85/5.91 spl0_761 <=> ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)|c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f31439,plain,(
% 43.85/5.91 ![X0]: (~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)|c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))),
% 43.85/5.91 inference(resolution,[status(thm)],[f1472,f15952])).
% 43.85/5.91 fof(f31440,plain,(
% 43.85/5.91 ~spl0_521|spl0_761),
% 43.85/5.91 inference(split_clause,[status(thm)],[f31439,f20568,f31436])).
% 43.85/5.91 fof(f31441,plain,(
% 43.85/5.91 spl0_762 <=> ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)|c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),X1,tc_nat)),
% 43.85/5.91 introduced(split_symbol_definition)).
% 43.85/5.91 fof(f31444,plain,(
% 43.85/5.91 ![X0,X1]: (~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)|c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),X1,tc_nat)|~spl0_435)),
% 43.85/5.91 inference(resolution,[status(thm)],[f1472,f16466])).
% 43.85/5.91 fof(f31445,plain,(
% 43.85/5.91 ~spl0_521|spl0_762|~spl0_435),
% 43.85/5.91 inference(split_clause,[status(thm)],[f31444,f20568,f31441,f14409])).
% 44.17/5.92 fof(f31489,plain,(
% 44.17/5.92 spl0_764 <=> c_HOL_Oord__class_Oless(X0,X0,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)),
% 44.17/5.92 introduced(split_symbol_definition)).
% 44.17/5.92 fof(f31490,plain,(
% 44.17/5.92 ![X0]: (c_HOL_Oord__class_Oless(X0,X0,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)|~spl0_764)),
% 44.17/5.92 inference(component_clause,[status(thm)],[f31489])).
% 44.17/5.92 fof(f31553,plain,(
% 44.17/5.92 ![X0,X1]: (~c_HOL_Oplus__class_Oplus(X0,c_Suc(X1),tc_nat)=X1)),
% 44.17/5.92 inference(backward_demodulation,[status(thm)],[f1141,f7197])).
% 44.17/5.92 fof(f31564,plain,(
% 44.17/5.92 ![X0]: (c_Suc(X0)=c_HOL_Oplus__class_Oplus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat))),
% 44.17/5.92 inference(paramodulation,[status(thm)],[f1742,f1141])).
% 44.17/5.92 fof(f31565,plain,(
% 44.17/5.92 ![X0]: (c_Suc(X0)=c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat))),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f12796,f31564])).
% 44.17/5.92 fof(f31569,plain,(
% 44.17/5.92 ![X0]: (c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat))),
% 44.17/5.92 inference(paramodulation,[status(thm)],[f12796,f1141])).
% 44.17/5.92 fof(f31570,plain,(
% 44.17/5.92 ![X0]: (c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)=c_Suc(X0))),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f1732,f31569])).
% 44.17/5.92 fof(f31846,plain,(
% 44.17/5.92 ![X0,X1]: (~c_HOL_Oplus__class_Oplus(X0,c_Suc(c_Suc(X1)),tc_nat)=X1)),
% 44.17/5.92 inference(paramodulation,[status(thm)],[f1141,f31553])).
% 44.17/5.92 fof(f31938,plain,(
% 44.17/5.92 spl0_765 <=> ~c_Suc(X0)=c_HOL_Ozero__class_Ozero(tc_nat)),
% 44.17/5.92 introduced(split_symbol_definition)).
% 44.17/5.92 fof(f31941,plain,(
% 44.17/5.92 ![X0]: (~c_Suc(X0)=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))),
% 44.17/5.92 inference(paramodulation,[status(thm)],[f31565,f805])).
% 44.17/5.92 fof(f31942,plain,(
% 44.17/5.92 spl0_765|spl0_208),
% 44.17/5.92 inference(split_clause,[status(thm)],[f31941,f31938,f8354])).
% 44.17/5.92 fof(f32101,plain,(
% 44.17/5.92 ![X0]: (c_HOL_Ominus__class_Ominus(c_Suc(X0),X0,tc_nat)=c_HOL_Oone__class_Oone(tc_nat))),
% 44.17/5.92 inference(paramodulation,[status(thm)],[f31565,f1335])).
% 44.17/5.92 fof(f32197,plain,(
% 44.17/5.92 ![X0]: (~c_Suc(c_Suc(c_Suc(X0)))=X0)),
% 44.17/5.92 inference(paramodulation,[status(thm)],[f31570,f31846])).
% 44.17/5.92 fof(f32524,plain,(
% 44.17/5.92 spl0_769 <=> c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat),X0,tc_nat)),
% 44.17/5.92 introduced(split_symbol_definition)).
% 44.17/5.92 fof(f32527,plain,(
% 44.17/5.92 ![X0,X1]: (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat),X0,tc_nat)|~class_Ring__and__Field_Ocomm__semiring__1(tc_nat))),
% 44.17/5.92 inference(resolution,[status(thm)],[f849,f864])).
% 44.17/5.92 fof(f32528,plain,(
% 44.17/5.92 spl0_769|~spl0_161),
% 44.17/5.92 inference(split_clause,[status(thm)],[f32527,f32524,f4395])).
% 44.17/5.92 fof(f32546,plain,(
% 44.17/5.92 spl0_770 <=> c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat),X1,tc_nat)),
% 44.17/5.92 introduced(split_symbol_definition)).
% 44.17/5.92 fof(f32549,plain,(
% 44.17/5.92 ![X0,X1]: (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat),X1,tc_nat)|~class_Ring__and__Field_Ocomm__semiring__1(tc_nat))),
% 44.17/5.92 inference(resolution,[status(thm)],[f851,f864])).
% 44.17/5.92 fof(f32550,plain,(
% 44.17/5.92 spl0_770|~spl0_161),
% 44.17/5.92 inference(split_clause,[status(thm)],[f32549,f32546,f4395])).
% 44.17/5.92 fof(f32698,plain,(
% 44.17/5.92 spl0_791 <=> c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat),v_m,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)),
% 44.17/5.92 introduced(split_symbol_definition)).
% 44.17/5.92 fof(f32700,plain,(
% 44.17/5.92 ~c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat),v_m,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|spl0_791),
% 44.17/5.92 inference(component_clause,[status(thm)],[f32698])).
% 44.17/5.92 fof(f32705,plain,(
% 44.17/5.92 ~c_HOL_Ominus__class_Ominus(v_m,c_HOL_Oplus__class_Oplus(v_n,v_m,tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|spl0_791),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f1333,f32700])).
% 44.17/5.92 fof(f32706,plain,(
% 44.17/5.92 ~c_HOL_Ominus__class_Ominus(v_m,c_HOL_Oplus__class_Oplus(v_m,v_n,tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|spl0_791),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f27054,f32705])).
% 44.17/5.92 fof(f32707,plain,(
% 44.17/5.92 ~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|spl0_791),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f713,f32706])).
% 44.17/5.92 fof(f32708,plain,(
% 44.17/5.92 $false|spl0_791),
% 44.17/5.92 inference(trivial_equality_resolution,[status(esa)],[f32707])).
% 44.17/5.92 fof(f32709,plain,(
% 44.17/5.92 spl0_791),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f32708])).
% 44.17/5.92 fof(f32986,plain,(
% 44.17/5.92 spl0_793 <=> ~c_HOL_Oord__class_Oless(v_n,X0,tc_nat)),
% 44.17/5.92 introduced(split_symbol_definition)).
% 44.17/5.92 fof(f32987,plain,(
% 44.17/5.92 ![X0]: (~c_HOL_Oord__class_Oless(v_n,X0,tc_nat)|~spl0_793)),
% 44.17/5.92 inference(component_clause,[status(thm)],[f32986])).
% 44.17/5.92 fof(f33064,plain,(
% 44.17/5.92 $false|spl0_600),
% 44.17/5.92 inference(trivial_equality_resolution,[status(esa)],[f25547])).
% 44.17/5.92 fof(f33065,plain,(
% 44.17/5.92 spl0_600),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33064])).
% 44.17/5.92 fof(f33066,plain,(
% 44.17/5.92 $false|spl0_481),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f17058,f2565])).
% 44.17/5.92 fof(f33067,plain,(
% 44.17/5.92 spl0_481),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33066])).
% 44.17/5.92 fof(f33069,plain,(
% 44.17/5.92 $false|spl0_5|~spl0_616),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f27559,f25493])).
% 44.17/5.92 fof(f33070,plain,(
% 44.17/5.92 spl0_5|~spl0_616),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33069])).
% 44.17/5.92 fof(f33071,plain,(
% 44.17/5.92 ![X0]: (~X0=X0|~spl0_613)),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f7180,f27476])).
% 44.17/5.92 fof(f33072,plain,(
% 44.17/5.92 $false|~spl0_613),
% 44.17/5.92 inference(trivial_equality_resolution,[status(esa)],[f33071])).
% 44.17/5.92 fof(f33073,plain,(
% 44.17/5.92 ~spl0_613),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33072])).
% 44.17/5.92 fof(f33074,plain,(
% 44.17/5.92 ![X0]: (~X0=X0|~spl0_606)),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f5899,f26895])).
% 44.17/5.92 fof(f33075,plain,(
% 44.17/5.92 $false|~spl0_606),
% 44.17/5.92 inference(trivial_equality_resolution,[status(esa)],[f33074])).
% 44.17/5.92 fof(f33076,plain,(
% 44.17/5.92 ~spl0_606),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33075])).
% 44.17/5.92 fof(f33077,plain,(
% 44.17/5.92 ![X0]: (~X0=X0|~spl0_603)),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f5855,f26692])).
% 44.17/5.92 fof(f33078,plain,(
% 44.17/5.92 $false|~spl0_603),
% 44.17/5.92 inference(trivial_equality_resolution,[status(esa)],[f33077])).
% 44.17/5.92 fof(f33079,plain,(
% 44.17/5.92 ~spl0_603),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33078])).
% 44.17/5.92 fof(f33080,plain,(
% 44.17/5.92 spl0_91|~spl0_186),
% 44.17/5.92 inference(split_clause,[status(thm)],[f14578,f2977,f6531])).
% 44.17/5.92 fof(f33084,plain,(
% 44.17/5.92 ![X0]: (X0=c_HOL_Ozero__class_Ozero(t_a)|spl0_5|~spl0_36|~spl0_607)),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f26949,f25648])).
% 44.17/5.92 fof(f33085,plain,(
% 44.17/5.92 ![X0]: (X0=c_HOL_Ozero__class_Ozero(t_a)|spl0_5|~spl0_36|~spl0_609)),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f27350,f26635])).
% 44.17/5.92 fof(f33086,plain,(
% 44.17/5.92 $false|spl0_5|~spl0_309),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f11167,f25493])).
% 44.17/5.92 fof(f33087,plain,(
% 44.17/5.92 spl0_5|~spl0_309),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33086])).
% 44.17/5.92 fof(f33090,plain,(
% 44.17/5.92 ![X0]: (X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_192)),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f6607,f1774])).
% 44.17/5.92 fof(f33095,plain,(
% 44.17/5.92 c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_166),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f5899,f4815])).
% 44.17/5.92 fof(f33096,plain,(
% 44.17/5.92 c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_166),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f1758,f33095])).
% 44.17/5.92 fof(f33097,plain,(
% 44.17/5.92 c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_166),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f5855,f33096])).
% 44.17/5.92 fof(f33098,plain,(
% 44.17/5.92 c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_6|~spl0_166),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f1779,f33097])).
% 44.17/5.92 fof(f33099,plain,(
% 44.17/5.92 $false|spl0_5|~spl0_6|~spl0_166),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f33098,f1777])).
% 44.17/5.92 fof(f33100,plain,(
% 44.17/5.92 spl0_5|~spl0_6|~spl0_166),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33099])).
% 44.17/5.92 fof(f33105,plain,(
% 44.17/5.92 ![X0]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)|~spl0_116)),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f5899,f3321])).
% 44.17/5.92 fof(f33106,plain,(
% 44.17/5.92 ![X0]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)|~spl0_116)),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f5899,f33105])).
% 44.17/5.92 fof(f33107,plain,(
% 44.17/5.92 ![X0]: (c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)|~spl0_116)),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f1728,f33106])).
% 44.17/5.92 fof(f33108,plain,(
% 44.17/5.92 ![X0]: (c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a)|~spl0_116)),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f5855,f33107])).
% 44.17/5.92 fof(f33109,plain,(
% 44.17/5.92 ![X0]: (c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(t_a),t_a)|~spl0_116)),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f5899,f33108])).
% 44.17/5.92 fof(f33110,plain,(
% 44.17/5.92 ![X0]: (c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a)=X0|~spl0_116)),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f1728,f33109])).
% 44.17/5.92 fof(f33111,plain,(
% 44.17/5.92 $false|spl0_5|~spl0_116),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f33110,f25344])).
% 44.17/5.92 fof(f33112,plain,(
% 44.17/5.92 spl0_5|~spl0_116),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33111])).
% 44.17/5.92 fof(f33119,plain,(
% 44.17/5.92 ![X0]: (~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)|~spl0_764)),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f31490,f1387])).
% 44.17/5.92 fof(f33120,plain,(
% 44.17/5.92 $false|~spl0_759),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f31427,f1387])).
% 44.17/5.92 fof(f33121,plain,(
% 44.17/5.92 ~spl0_759),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33120])).
% 44.17/5.92 fof(f33122,plain,(
% 44.17/5.92 ![X0,X1]: (c_Divides_Odiv__class_Omod(X0,X1,tc_nat)=X0|~spl0_758)),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f31422,f823])).
% 44.17/5.92 fof(f33123,plain,(
% 44.17/5.92 $false|~spl0_757),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f31417,f1425])).
% 44.17/5.92 fof(f33124,plain,(
% 44.17/5.92 ~spl0_757),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33123])).
% 44.17/5.92 fof(f33125,plain,(
% 44.17/5.92 $false|~spl0_756),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f31412,f1426])).
% 44.17/5.92 fof(f33126,plain,(
% 44.17/5.92 ~spl0_756),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33125])).
% 44.17/5.92 fof(f33127,plain,(
% 44.17/5.92 $false|~spl0_755),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f31405,f8271])).
% 44.17/5.92 fof(f33128,plain,(
% 44.17/5.92 ~spl0_755),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33127])).
% 44.17/5.92 fof(f33129,plain,(
% 44.17/5.92 $false|~spl0_175|~spl0_754),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f31400,f8946])).
% 44.17/5.92 fof(f33130,plain,(
% 44.17/5.92 ~spl0_175|~spl0_754),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33129])).
% 44.17/5.92 fof(f33131,plain,(
% 44.17/5.92 ![X0,X1]: (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_Suc(X1),tc_nat),X0,tc_nat)|~spl0_752)),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f1141,f31390])).
% 44.17/5.92 fof(f33132,plain,(
% 44.17/5.92 $false|~spl0_752),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f33131,f1426])).
% 44.17/5.92 fof(f33133,plain,(
% 44.17/5.92 ~spl0_752),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33132])).
% 44.17/5.92 fof(f33134,plain,(
% 44.17/5.92 ![X0,X1]: (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_Suc(X0),c_Suc(X1),tc_nat),X0,tc_nat)|~spl0_751)),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f1141,f31385])).
% 44.17/5.92 fof(f33135,plain,(
% 44.17/5.92 ![X0,X1]: (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_Suc(c_Suc(X1)),tc_nat),X0,tc_nat)|~spl0_751)),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f1141,f33134])).
% 44.17/5.92 fof(f33136,plain,(
% 44.17/5.92 $false|~spl0_751),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f33135,f1426])).
% 44.17/5.92 fof(f33137,plain,(
% 44.17/5.92 ~spl0_751),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33136])).
% 44.17/5.92 fof(f33138,plain,(
% 44.17/5.92 $false|~spl0_750),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f31380,f4345])).
% 44.17/5.92 fof(f33139,plain,(
% 44.17/5.92 ~spl0_750),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33138])).
% 44.17/5.92 fof(f33140,plain,(
% 44.17/5.92 $false|~spl0_749),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f31375,f8267])).
% 44.17/5.92 fof(f33141,plain,(
% 44.17/5.92 ~spl0_749),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33140])).
% 44.17/5.92 fof(f33142,plain,(
% 44.17/5.92 $false|~spl0_748),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f31370,f8268])).
% 44.17/5.92 fof(f33143,plain,(
% 44.17/5.92 ~spl0_748),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33142])).
% 44.17/5.92 fof(f33144,plain,(
% 44.17/5.92 $false|~spl0_175|~spl0_747),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f31365,f8967])).
% 44.17/5.92 fof(f33145,plain,(
% 44.17/5.92 ~spl0_175|~spl0_747),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33144])).
% 44.17/5.92 fof(f33146,plain,(
% 44.17/5.92 ![X0,X1]: (c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(X0,c_Suc(X1),tc_nat)),X0,tc_nat)|~spl0_746)),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f1141,f31360])).
% 44.17/5.92 fof(f33147,plain,(
% 44.17/5.92 $false|~spl0_746),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f33146,f8268])).
% 44.17/5.92 fof(f33148,plain,(
% 44.17/5.92 ~spl0_746),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33147])).
% 44.17/5.92 fof(f33149,plain,(
% 44.17/5.92 $false|~spl0_745),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f31355,f8266])).
% 44.17/5.92 fof(f33150,plain,(
% 44.17/5.92 ~spl0_745),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33149])).
% 44.17/5.92 fof(f33151,plain,(
% 44.17/5.92 $false|~spl0_175|~spl0_744),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f31350,f8960])).
% 44.17/5.92 fof(f33152,plain,(
% 44.17/5.92 ~spl0_175|~spl0_744),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33151])).
% 44.17/5.92 fof(f33153,plain,(
% 44.17/5.92 $false|~spl0_175|~spl0_743),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f31345,f8959])).
% 44.17/5.92 fof(f33154,plain,(
% 44.17/5.92 ~spl0_175|~spl0_743),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33153])).
% 44.17/5.92 fof(f33155,plain,(
% 44.17/5.92 $false|~spl0_175|~spl0_742),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f31340,f8962])).
% 44.17/5.92 fof(f33156,plain,(
% 44.17/5.92 ~spl0_175|~spl0_742),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33155])).
% 44.17/5.92 fof(f33157,plain,(
% 44.17/5.92 $false|~spl0_175|~spl0_741),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f31335,f8961])).
% 44.17/5.92 fof(f33158,plain,(
% 44.17/5.92 ~spl0_175|~spl0_741),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33157])).
% 44.17/5.92 fof(f33159,plain,(
% 44.17/5.92 $false|~spl0_739),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f31320,f8260])).
% 44.17/5.92 fof(f33160,plain,(
% 44.17/5.92 ~spl0_739),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33159])).
% 44.17/5.92 fof(f33161,plain,(
% 44.17/5.92 $false|~spl0_436|~spl0_738),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f31315,f14882])).
% 44.17/5.92 fof(f33162,plain,(
% 44.17/5.92 ~spl0_436|~spl0_738),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33161])).
% 44.17/5.92 fof(f33163,plain,(
% 44.17/5.92 $false|~spl0_435|~spl0_737),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f31309,f15946])).
% 44.17/5.92 fof(f33164,plain,(
% 44.17/5.92 ~spl0_435|~spl0_737),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33163])).
% 44.17/5.92 fof(f33179,plain,(
% 44.17/5.92 c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(tc_nat),t_a)=c_HOL_Oone__class_Oone(t_a)|~spl0_672),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f1752,f29400])).
% 44.17/5.92 fof(f33180,plain,(
% 44.17/5.92 c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Oone__class_Oone(t_a)|~spl0_672),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f29210,f33179])).
% 44.17/5.92 fof(f33181,plain,(
% 44.17/5.92 $false|spl0_5|~spl0_672),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f33180,f1777])).
% 44.17/5.92 fof(f33182,plain,(
% 44.17/5.92 spl0_5|~spl0_672),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33181])).
% 44.17/5.92 fof(f33192,plain,(
% 44.17/5.92 ![X0]: (c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(t_a),c_Suc(X0),t_a)=c_HOL_Oone__class_Oone(t_a)|~spl0_659)),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f1752,f29205])).
% 44.17/5.92 fof(f33193,plain,(
% 44.17/5.92 c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Oone__class_Oone(t_a)|~spl0_659),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f25166,f33192])).
% 44.17/5.92 fof(f33194,plain,(
% 44.17/5.92 $false|spl0_5|~spl0_659),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f33193,f1777])).
% 44.17/5.92 fof(f33195,plain,(
% 44.17/5.92 spl0_5|~spl0_659),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33194])).
% 44.17/5.92 fof(f33198,plain,(
% 44.17/5.92 $false|~spl0_175|~spl0_591),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f24104,f5352])).
% 44.17/5.92 fof(f33199,plain,(
% 44.17/5.92 ~spl0_175|~spl0_591),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33198])).
% 44.17/5.92 fof(f33200,plain,(
% 44.17/5.92 $false|~spl0_175|~spl0_590),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f24099,f6368])).
% 44.17/5.92 fof(f33201,plain,(
% 44.17/5.92 ~spl0_175|~spl0_590),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33200])).
% 44.17/5.92 fof(f33202,plain,(
% 44.17/5.92 $false|~spl0_175|~spl0_589),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f24094,f5356])).
% 44.17/5.92 fof(f33203,plain,(
% 44.17/5.92 ~spl0_175|~spl0_589),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33202])).
% 44.17/5.92 fof(f33207,plain,(
% 44.17/5.92 $false|~spl0_586),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f24079,f869])).
% 44.17/5.92 fof(f33208,plain,(
% 44.17/5.92 ~spl0_586),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33207])).
% 44.17/5.92 fof(f33209,plain,(
% 44.17/5.92 $false|~spl0_585),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f24074,f4377])).
% 44.17/5.92 fof(f33210,plain,(
% 44.17/5.92 ~spl0_585),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33209])).
% 44.17/5.92 fof(f33211,plain,(
% 44.17/5.92 $false|~spl0_584),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f24069,f4376])).
% 44.17/5.92 fof(f33212,plain,(
% 44.17/5.92 ~spl0_584),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33211])).
% 44.17/5.92 fof(f33213,plain,(
% 44.17/5.92 $false|~spl0_175|~spl0_583),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f24064,f8627])).
% 44.17/5.92 fof(f33214,plain,(
% 44.17/5.92 ~spl0_175|~spl0_583),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33213])).
% 44.17/5.92 fof(f33215,plain,(
% 44.17/5.92 ![X0,X1]: (~c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Oplus__class_Oplus(X0,c_Suc(X1),tc_nat)),tc_nat)|~spl0_582)),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f1141,f24059])).
% 44.17/5.92 fof(f33216,plain,(
% 44.17/5.92 $false|~spl0_582),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f33215,f4376])).
% 44.17/5.92 fof(f33217,plain,(
% 44.17/5.92 ~spl0_582),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33216])).
% 44.17/5.92 fof(f33218,plain,(
% 44.17/5.92 $false|~spl0_581),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f24054,f6394])).
% 44.17/5.92 fof(f33219,plain,(
% 44.17/5.92 ~spl0_581),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33218])).
% 44.17/5.92 fof(f33220,plain,(
% 44.17/5.92 $false|~spl0_175|~spl0_580),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f24049,f6674])).
% 44.17/5.92 fof(f33221,plain,(
% 44.17/5.92 ~spl0_175|~spl0_580),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33220])).
% 44.17/5.92 fof(f33222,plain,(
% 44.17/5.92 $false|~spl0_175|~spl0_579),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f24044,f6869])).
% 44.17/5.92 fof(f33223,plain,(
% 44.17/5.92 ~spl0_175|~spl0_579),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33222])).
% 44.17/5.92 fof(f33224,plain,(
% 44.17/5.92 $false|~spl0_175|~spl0_578),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f24039,f6365])).
% 44.17/5.92 fof(f33225,plain,(
% 44.17/5.92 ~spl0_175|~spl0_578),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33224])).
% 44.17/5.92 fof(f33226,plain,(
% 44.17/5.92 $false|~spl0_175|~spl0_577),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f24034,f6366])).
% 44.17/5.92 fof(f33227,plain,(
% 44.17/5.92 ~spl0_175|~spl0_577),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33226])).
% 44.17/5.92 fof(f33228,plain,(
% 44.17/5.92 $false|~spl0_574),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f24014,f15879])).
% 44.17/5.92 fof(f33229,plain,(
% 44.17/5.92 ~spl0_574),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33228])).
% 44.17/5.92 fof(f33230,plain,(
% 44.17/5.92 $false|~spl0_569),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f23929,f17545])).
% 44.17/5.92 fof(f33231,plain,(
% 44.17/5.92 ~spl0_569),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33230])).
% 44.17/5.92 fof(f33232,plain,(
% 44.17/5.92 $false|~spl0_436|~spl0_568),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f23924,f17574])).
% 44.17/5.92 fof(f33233,plain,(
% 44.17/5.92 ~spl0_436|~spl0_568),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33232])).
% 44.17/5.92 fof(f33237,plain,(
% 44.17/5.92 $false|~spl0_564),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f23904,f3664])).
% 44.17/5.92 fof(f33238,plain,(
% 44.17/5.92 ~spl0_564),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33237])).
% 44.17/5.92 fof(f33239,plain,(
% 44.17/5.92 $false|~spl0_435|~spl0_563),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f23899,f14739])).
% 44.17/5.92 fof(f33240,plain,(
% 44.17/5.92 ~spl0_435|~spl0_563),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33239])).
% 44.17/5.92 fof(f33241,plain,(
% 44.17/5.92 $false|~spl0_436|~spl0_562),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f23894,f14764])).
% 44.17/5.92 fof(f33242,plain,(
% 44.17/5.92 ~spl0_436|~spl0_562),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33241])).
% 44.17/5.92 fof(f33243,plain,(
% 44.17/5.92 $false|~spl0_436|~spl0_435|~spl0_561),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f23889,f14844])).
% 44.17/5.92 fof(f33244,plain,(
% 44.17/5.92 ~spl0_436|~spl0_435|~spl0_561),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33243])).
% 44.17/5.92 fof(f33245,plain,(
% 44.17/5.92 ![X0,X1]: (c_lessequals(c_Suc(c_HOL_Oplus__class_Oplus(X0,c_Suc(X1),tc_nat)),X0,tc_nat)|~spl0_560)),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f1141,f23884])).
% 44.17/5.92 fof(f33246,plain,(
% 44.17/5.92 $false|~spl0_436|~spl0_560),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f33245,f14764])).
% 44.17/5.92 fof(f33247,plain,(
% 44.17/5.92 ~spl0_436|~spl0_560),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33246])).
% 44.17/5.92 fof(f33248,plain,(
% 44.17/5.92 $false|~spl0_436|~spl0_559),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f23879,f14826])).
% 44.17/5.92 fof(f33249,plain,(
% 44.17/5.92 ~spl0_436|~spl0_559),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33248])).
% 44.17/5.92 fof(f33250,plain,(
% 44.17/5.92 $false|~spl0_436|~spl0_558),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f23874,f14845])).
% 44.17/5.92 fof(f33251,plain,(
% 44.17/5.92 ~spl0_436|~spl0_558),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33250])).
% 44.17/5.92 fof(f33252,plain,(
% 44.17/5.92 $false|~spl0_436|~spl0_557),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f23869,f14861])).
% 44.17/5.92 fof(f33253,plain,(
% 44.17/5.92 ~spl0_436|~spl0_557),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33252])).
% 44.17/5.92 fof(f33254,plain,(
% 44.17/5.92 $false|~spl0_436|~spl0_556),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f23864,f14831])).
% 44.17/5.92 fof(f33255,plain,(
% 44.17/5.92 ~spl0_436|~spl0_556),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33254])).
% 44.17/5.92 fof(f33256,plain,(
% 44.17/5.92 $false|~spl0_436|~spl0_435|~spl0_555),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f23859,f14832])).
% 44.17/5.92 fof(f33257,plain,(
% 44.17/5.92 ~spl0_436|~spl0_435|~spl0_555),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33256])).
% 44.17/5.92 fof(f33258,plain,(
% 44.17/5.92 $false|~spl0_517),
% 44.17/5.92 inference(destructive_equality_resolution,[status(esa)],[f20496])).
% 44.17/5.92 fof(f33259,plain,(
% 44.17/5.92 ~spl0_517),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33258])).
% 44.17/5.92 fof(f33260,plain,(
% 44.17/5.92 c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_513),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f7180,f19426])).
% 44.17/5.92 fof(f33261,plain,(
% 44.17/5.92 $false|spl0_5|~spl0_513),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f33260,f1777])).
% 44.17/5.92 fof(f33262,plain,(
% 44.17/5.92 spl0_5|~spl0_513),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33261])).
% 44.17/5.92 fof(f33263,plain,(
% 44.17/5.92 ![X0]: (c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a)=X0|~spl0_509)),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f7180,f19387])).
% 44.17/5.92 fof(f33264,plain,(
% 44.17/5.92 $false|spl0_5|~spl0_509),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f33263,f25344])).
% 44.17/5.92 fof(f33265,plain,(
% 44.17/5.92 spl0_5|~spl0_509),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33264])).
% 44.17/5.92 fof(f33266,plain,(
% 44.17/5.92 ![X0]: (X0=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),X0,t_a)|~spl0_506)),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f5899,f19276])).
% 44.17/5.92 fof(f33267,plain,(
% 44.17/5.92 $false|spl0_5|~spl0_506),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f33266,f25493])).
% 44.17/5.92 fof(f33268,plain,(
% 44.17/5.92 spl0_5|~spl0_506),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33267])).
% 44.17/5.92 fof(f33269,plain,(
% 44.17/5.92 ![X0]: (X0=c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a)|~spl0_501)),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f5899,f19121])).
% 44.17/5.92 fof(f33270,plain,(
% 44.17/5.92 $false|spl0_5|~spl0_501),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f33269,f25344])).
% 44.17/5.92 fof(f33271,plain,(
% 44.17/5.92 spl0_5|~spl0_501),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33270])).
% 44.17/5.92 fof(f33272,plain,(
% 44.17/5.92 ~c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat)|~spl0_500),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f11126,f19002])).
% 44.17/5.92 fof(f33273,plain,(
% 44.17/5.92 $false|~spl0_500),
% 44.17/5.92 inference(trivial_equality_resolution,[status(esa)],[f33272])).
% 44.17/5.92 fof(f33274,plain,(
% 44.17/5.92 ~spl0_500),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33273])).
% 44.17/5.92 fof(f33275,plain,(
% 44.17/5.92 ![X0]: (X0=c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(t_a),t_a)|~spl0_494)),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f5855,f17784])).
% 44.17/5.92 fof(f33276,plain,(
% 44.17/5.92 $false|spl0_5|~spl0_494),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f33275,f25344])).
% 44.17/5.92 fof(f33277,plain,(
% 44.17/5.92 spl0_5|~spl0_494),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33276])).
% 44.17/5.92 fof(f33278,plain,(
% 44.17/5.92 $false|spl0_5|~spl0_488),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f17716,f25623])).
% 44.17/5.92 fof(f33279,plain,(
% 44.17/5.92 spl0_5|~spl0_488),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33278])).
% 44.17/5.92 fof(f33280,plain,(
% 44.17/5.92 $false|spl0_5|~spl0_487),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f17675,f25623])).
% 44.17/5.92 fof(f33281,plain,(
% 44.17/5.92 spl0_5|~spl0_487),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33280])).
% 44.17/5.92 fof(f33287,plain,(
% 44.17/5.92 ![X0]: (X0=c_HOL_Ozero__class_Ozero(t_a)|~spl0_383|~spl0_36|~spl0_465)),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f16311,f14424])).
% 44.17/5.92 fof(f33289,plain,(
% 44.17/5.92 ![X0]: (c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X0,t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Oone__class_Oone(t_a)|~spl0_459)),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f22335,f16192])).
% 44.17/5.92 fof(f33290,plain,(
% 44.17/5.92 c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Oone__class_Oone(t_a)|~spl0_459),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f6455,f33289])).
% 44.17/5.92 fof(f33291,plain,(
% 44.17/5.92 c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Oone__class_Oone(t_a)|~spl0_459),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f1752,f33290])).
% 44.17/5.92 fof(f33292,plain,(
% 44.17/5.92 $false|spl0_5|~spl0_459),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f33291,f1777])).
% 44.17/5.92 fof(f33293,plain,(
% 44.17/5.92 spl0_5|~spl0_459),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33292])).
% 44.17/5.92 fof(f33294,plain,(
% 44.17/5.92 $false|~spl0_448),
% 44.17/5.92 inference(trivial_equality_resolution,[status(esa)],[f14683])).
% 44.17/5.92 fof(f33295,plain,(
% 44.17/5.92 ~spl0_448),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33294])).
% 44.17/5.92 fof(f33296,plain,(
% 44.17/5.92 ![X0]: (c_HOL_Ozero__class_Ozero(tc_nat)=X0|~spl0_444)),
% 44.17/5.92 inference(duplicate_literals_removal,[status(esa)],[f14644])).
% 44.17/5.92 fof(f33317,plain,(
% 44.17/5.92 ![X0]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)|~spl0_350)),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f1336,f11841])).
% 44.17/5.92 fof(f33344,plain,(
% 44.17/5.92 ![X0,X1]: (c_HOL_Oord__class_Oless(X0,X1,tc_nat)|~spl0_244)),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f1336,f10238])).
% 44.17/5.92 fof(f33345,plain,(
% 44.17/5.92 c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_227),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f1758,f9881])).
% 44.17/5.92 fof(f33346,plain,(
% 44.17/5.92 c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_6|~spl0_227),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f1779,f33345])).
% 44.17/5.92 fof(f33347,plain,(
% 44.17/5.92 $false|spl0_5|~spl0_6|~spl0_227),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f33346,f1777])).
% 44.17/5.92 fof(f33348,plain,(
% 44.17/5.92 spl0_5|~spl0_6|~spl0_227),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33347])).
% 44.17/5.92 fof(f33352,plain,(
% 44.17/5.92 $false|~spl0_216),
% 44.17/5.92 inference(destructive_equality_resolution,[status(esa)],[f9266])).
% 44.17/5.92 fof(f33353,plain,(
% 44.17/5.92 ~spl0_216),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33352])).
% 44.17/5.92 fof(f33354,plain,(
% 44.17/5.92 ![X0]: (~c_Suc(X0)=c_Suc(X0)|~spl0_209)),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f9233,f8377])).
% 44.17/5.92 fof(f33355,plain,(
% 44.17/5.92 $false|~spl0_209),
% 44.17/5.92 inference(trivial_equality_resolution,[status(esa)],[f33354])).
% 44.17/5.92 fof(f33356,plain,(
% 44.17/5.92 ~spl0_209),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33355])).
% 44.17/5.92 fof(f33357,plain,(
% 44.17/5.92 c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a)|~spl0_96),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f5899,f3045])).
% 44.17/5.92 fof(f33358,plain,(
% 44.17/5.92 c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Oone__class_Oone(t_a)|~spl0_6|~spl0_96),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f1779,f33357])).
% 44.17/5.92 fof(f33359,plain,(
% 44.17/5.92 $false|spl0_5|~spl0_6|~spl0_96),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f33358,f1777])).
% 44.17/5.92 fof(f33360,plain,(
% 44.17/5.92 spl0_5|~spl0_6|~spl0_96),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33359])).
% 44.17/5.92 fof(f33361,plain,(
% 44.17/5.92 spl0_138|~spl0_136),
% 44.17/5.92 inference(split_clause,[status(thm)],[f3795,f3814,f3789])).
% 44.17/5.92 fof(f33362,plain,(
% 44.17/5.92 c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_141),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f5855,f3843])).
% 44.17/5.92 fof(f33363,plain,(
% 44.17/5.92 c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_6|~spl0_141),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f1779,f33362])).
% 44.17/5.92 fof(f33364,plain,(
% 44.17/5.92 $false|spl0_5|~spl0_6|~spl0_141),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f33363,f1777])).
% 44.17/5.92 fof(f33365,plain,(
% 44.17/5.92 spl0_5|~spl0_6|~spl0_141),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33364])).
% 44.17/5.92 fof(f33366,plain,(
% 44.17/5.92 ![X0]: (c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a),X0,t_a)|~spl0_172)),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f5899,f4882])).
% 44.17/5.92 fof(f33367,plain,(
% 44.17/5.92 ![X0]: (c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),X0,t_a)|~spl0_6|~spl0_172)),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f1779,f33366])).
% 44.17/5.92 fof(f33368,plain,(
% 44.17/5.92 ![X0]: (c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Oinverse__class_Oinverse(X0,t_a)|~spl0_6|~spl0_172)),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f1758,f33367])).
% 44.17/5.92 fof(f33371,plain,(
% 44.17/5.92 ![X0]: (X0=c_HOL_Ozero__class_Ozero(t_a)|c_HOL_Oinverse__class_Odivide(X0,X0,t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_171)),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f5899,f4872])).
% 44.17/5.92 fof(f33372,plain,(
% 44.17/5.92 ![X0]: (X0=c_HOL_Ozero__class_Ozero(t_a)|spl0_5|~spl0_36|~spl0_171)),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f33371,f25642])).
% 44.17/5.92 fof(f33383,plain,(
% 44.17/5.92 ![X0]: (c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(t_a),t_a),c_HOL_Ozero__class_Ozero(t_a),t_a),t_a)|~spl0_144)),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f5855,f3964])).
% 44.17/5.92 fof(f33384,plain,(
% 44.17/5.92 ![X0]: (c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(t_a),t_a),t_a)|~spl0_144)),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f5855,f33383])).
% 44.17/5.92 fof(f33385,plain,(
% 44.17/5.92 $false|spl0_5|~spl0_144),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f33384,f25493])).
% 44.17/5.92 fof(f33386,plain,(
% 44.17/5.92 spl0_5|~spl0_144),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33385])).
% 44.17/5.92 fof(f33482,plain,(
% 44.17/5.92 c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a),t_a),t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_93),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f5899,f3005])).
% 44.17/5.92 fof(f33483,plain,(
% 44.17/5.92 c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a),t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_93),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f5855,f33482])).
% 44.17/5.92 fof(f33484,plain,(
% 44.17/5.92 c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a),t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_93),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f1758,f33483])).
% 44.17/5.92 fof(f33485,plain,(
% 44.17/5.92 c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_93),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f5899,f33484])).
% 44.17/5.92 fof(f33486,plain,(
% 44.17/5.92 c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_93),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f5855,f33485])).
% 44.17/5.92 fof(f33487,plain,(
% 44.17/5.92 c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_6|~spl0_93),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f1779,f33486])).
% 44.17/5.92 fof(f33488,plain,(
% 44.17/5.92 $false|spl0_5|~spl0_6|~spl0_93),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f33487,f1777])).
% 44.17/5.92 fof(f33489,plain,(
% 44.17/5.92 spl0_5|~spl0_6|~spl0_93),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33488])).
% 44.17/5.92 fof(f33493,plain,(
% 44.17/5.92 ![X0]: (c_HOL_Oinverse__class_Oinverse(X0,t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_89)),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f5899,f2967])).
% 44.17/5.92 fof(f33503,plain,(
% 44.17/5.92 c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_85),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f5899,f2913])).
% 44.17/5.92 fof(f33504,plain,(
% 44.17/5.92 c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_85),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f5855,f33503])).
% 44.17/5.92 fof(f33505,plain,(
% 44.17/5.92 $false|spl0_5|~spl0_85),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f33504,f1777])).
% 44.17/5.92 fof(f33506,plain,(
% 44.17/5.92 spl0_5|~spl0_85),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33505])).
% 44.17/5.92 fof(f33523,plain,(
% 44.17/5.92 c_HOL_Oinverse__class_Oinverse(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_78),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f5899,f2855])).
% 44.17/5.92 fof(f33524,plain,(
% 44.17/5.92 c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(t_a),t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_78),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f5899,f33523])).
% 44.17/5.92 fof(f33525,plain,(
% 44.17/5.92 c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_6|~spl0_78),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f1779,f33524])).
% 44.17/5.92 fof(f33526,plain,(
% 44.17/5.92 $false|spl0_5|~spl0_6|~spl0_78),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f33525,f1777])).
% 44.17/5.92 fof(f33527,plain,(
% 44.17/5.92 spl0_5|~spl0_6|~spl0_78),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33526])).
% 44.17/5.92 fof(f33532,plain,(
% 44.17/5.92 c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a)|~spl0_74),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f5899,f2790])).
% 44.17/5.92 fof(f33533,plain,(
% 44.17/5.92 c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a)|~spl0_74),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f1752,f33532])).
% 44.17/5.92 fof(f33534,plain,(
% 44.17/5.92 c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Oone__class_Oone(t_a)|~spl0_74),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f5899,f33533])).
% 44.17/5.92 fof(f33535,plain,(
% 44.17/5.92 $false|spl0_5|~spl0_74),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f33534,f1777])).
% 44.17/5.92 fof(f33536,plain,(
% 44.17/5.92 spl0_5|~spl0_74),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33535])).
% 44.17/5.92 fof(f33537,plain,(
% 44.17/5.92 c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oone__class_Oone(t_a),t_a)|~spl0_72),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f5899,f2777])).
% 44.17/5.92 fof(f33538,plain,(
% 44.17/5.92 c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Oone__class_Oone(t_a)|~spl0_72),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f5899,f33537])).
% 44.17/5.92 fof(f33539,plain,(
% 44.17/5.92 $false|spl0_5|~spl0_72),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f33538,f1777])).
% 44.17/5.92 fof(f33540,plain,(
% 44.17/5.92 spl0_5|~spl0_72),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33539])).
% 44.17/5.92 fof(f33541,plain,(
% 44.17/5.92 ![X0]: (c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(t_a),X0,t_a),c_HOL_Ozero__class_Ozero(t_a),t_a),t_a)|~spl0_69)),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f5899,f2757])).
% 44.17/5.92 fof(f33542,plain,(
% 44.17/5.92 ![X0]: (c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(t_a),t_a),t_a)|~spl0_69)),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f5899,f33541])).
% 44.17/5.92 fof(f33543,plain,(
% 44.17/5.92 $false|spl0_5|~spl0_69),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f33542,f25493])).
% 44.17/5.92 fof(f33544,plain,(
% 44.17/5.92 spl0_5|~spl0_69),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33543])).
% 44.17/5.92 fof(f33546,plain,(
% 44.17/5.92 c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a),t_a)|~spl0_59),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f1752,f2615])).
% 44.17/5.92 fof(f33547,plain,(
% 44.17/5.92 c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)|~spl0_59),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f1752,f33546])).
% 44.17/5.92 fof(f33548,plain,(
% 44.17/5.92 c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Oone__class_Oone(t_a)|~spl0_59),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f5855,f33547])).
% 44.17/5.92 fof(f33549,plain,(
% 44.17/5.92 $false|spl0_5|~spl0_59),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f33548,f1777])).
% 44.17/5.92 fof(f33550,plain,(
% 44.17/5.92 spl0_5|~spl0_59),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33549])).
% 44.17/5.92 fof(f33551,plain,(
% 44.17/5.92 c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a)|~spl0_58),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f1752,f2608])).
% 44.17/5.92 fof(f33552,plain,(
% 44.17/5.92 c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a),t_a)|~spl0_58),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f5884,f33551])).
% 44.17/5.92 fof(f33553,plain,(
% 44.17/5.92 c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)|~spl0_58),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f1752,f33552])).
% 44.17/5.92 fof(f33554,plain,(
% 44.17/5.92 c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Oone__class_Oone(t_a)|~spl0_58),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f5855,f33553])).
% 44.17/5.92 fof(f33555,plain,(
% 44.17/5.92 $false|spl0_5|~spl0_58),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f33554,f1777])).
% 44.17/5.92 fof(f33556,plain,(
% 44.17/5.92 spl0_5|~spl0_58),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33555])).
% 44.17/5.92 fof(f33557,plain,(
% 44.17/5.92 c_HOL_Oone__class_Oone(t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oone__class_Oone(t_a),t_a)|~spl0_55),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f5855,f2402])).
% 44.17/5.92 fof(f33558,plain,(
% 44.17/5.92 $false|spl0_5|~spl0_55),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f33557,f25493])).
% 44.17/5.92 fof(f33559,plain,(
% 44.17/5.92 spl0_5|~spl0_55),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33558])).
% 44.17/5.92 fof(f33564,plain,(
% 44.17/5.92 c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Ozero__class_Ozero(t_a),t_a)|~spl0_51),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f5899,f2369])).
% 44.17/5.92 fof(f33565,plain,(
% 44.17/5.92 c_HOL_Ozero__class_Ozero(t_a)=c_HOL_Oone__class_Oone(t_a)|~spl0_51),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f5855,f33564])).
% 44.17/5.92 fof(f33566,plain,(
% 44.17/5.92 $false|spl0_5|~spl0_51),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f33565,f1777])).
% 44.17/5.92 fof(f33567,plain,(
% 44.17/5.92 spl0_5|~spl0_51),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33566])).
% 44.17/5.92 fof(f33568,plain,(
% 44.17/5.92 ![X0]: (X0=c_HOL_Ozero__class_Ozero(t_a)|spl0_5|~spl0_49)),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f2357,f25493])).
% 44.17/5.92 fof(f33581,plain,(
% 44.17/5.92 ![X0]: (c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(t_a),t_a),c_HOL_Oone__class_Oone(t_a),t_a)|~spl0_25)),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f5855,f2118])).
% 44.17/5.92 fof(f33582,plain,(
% 44.17/5.92 ![X0]: (c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(t_a),t_a),t_a)|~spl0_25)),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f5884,f33581])).
% 44.17/5.92 fof(f33583,plain,(
% 44.17/5.92 $false|spl0_5|~spl0_25),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f33582,f25493])).
% 44.17/5.92 fof(f33584,plain,(
% 44.17/5.92 spl0_5|~spl0_25),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33583])).
% 44.17/5.92 fof(f33589,plain,(
% 44.17/5.92 ![X0]: (c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(t_a),t_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(t_a),t_a),t_a)|~spl0_17)),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f5899,f2033])).
% 44.17/5.92 fof(f33590,plain,(
% 44.17/5.92 $false|spl0_5|~spl0_17),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f33589,f25493])).
% 44.17/5.92 fof(f33591,plain,(
% 44.17/5.92 spl0_5|~spl0_17),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33590])).
% 44.17/5.92 fof(f33649,plain,(
% 44.17/5.92 c_HOL_Oone__class_Oone(t_a)=c_HOL_Ozero__class_Ozero(t_a)|~spl0_43),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f5899,f2312])).
% 44.17/5.92 fof(f33650,plain,(
% 44.17/5.92 $false|spl0_5|~spl0_43),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f33649,f1777])).
% 44.17/5.92 fof(f33651,plain,(
% 44.17/5.92 spl0_5|~spl0_43),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33650])).
% 44.17/5.92 fof(f33738,plain,(
% 44.17/5.92 $false|~spl0_146),
% 44.17/5.92 inference(backward_subsumption_resolution,[status(thm)],[f31067,f4023])).
% 44.17/5.92 fof(f33739,plain,(
% 44.17/5.92 ~spl0_146),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33738])).
% 44.17/5.92 fof(f33740,plain,(
% 44.17/5.92 $false|spl0_5|~spl0_36|~spl0_607),
% 44.17/5.92 inference(resolution,[status(thm)],[f33084,f32197])).
% 44.17/5.92 fof(f33741,plain,(
% 44.17/5.92 spl0_5|~spl0_36|~spl0_607),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33740])).
% 44.17/5.92 fof(f33742,plain,(
% 44.17/5.92 $false|spl0_5|~spl0_36|~spl0_609),
% 44.17/5.92 inference(resolution,[status(thm)],[f33085,f32197])).
% 44.17/5.92 fof(f33743,plain,(
% 44.17/5.92 spl0_5|~spl0_36|~spl0_609),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33742])).
% 44.17/5.92 fof(f33744,plain,(
% 44.17/5.92 $false|~spl0_192),
% 44.17/5.92 inference(resolution,[status(thm)],[f33090,f32197])).
% 44.17/5.92 fof(f33745,plain,(
% 44.17/5.92 ~spl0_192),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33744])).
% 44.17/5.92 fof(f33746,plain,(
% 44.17/5.92 $false|~spl0_383|~spl0_36|~spl0_465),
% 44.17/5.92 inference(resolution,[status(thm)],[f33287,f32197])).
% 44.17/5.92 fof(f33747,plain,(
% 44.17/5.92 ~spl0_383|~spl0_36|~spl0_465),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33746])).
% 44.17/5.92 fof(f33748,plain,(
% 44.17/5.92 $false|~spl0_444),
% 44.17/5.92 inference(resolution,[status(thm)],[f33296,f31055])).
% 44.17/5.92 fof(f33749,plain,(
% 44.17/5.92 ~spl0_444),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33748])).
% 44.17/5.92 fof(f33750,plain,(
% 44.17/5.92 $false|spl0_5|~spl0_36|~spl0_171),
% 44.17/5.92 inference(resolution,[status(thm)],[f33372,f32197])).
% 44.17/5.92 fof(f33751,plain,(
% 44.17/5.92 spl0_5|~spl0_36|~spl0_171),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33750])).
% 44.17/5.92 fof(f33752,plain,(
% 44.17/5.92 $false|~spl0_145),
% 44.17/5.92 inference(resolution,[status(thm)],[f3989,f32197])).
% 44.17/5.92 fof(f33753,plain,(
% 44.17/5.92 ~spl0_145),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33752])).
% 44.17/5.92 fof(f33754,plain,(
% 44.17/5.92 $false|spl0_5|~spl0_49),
% 44.17/5.92 inference(resolution,[status(thm)],[f33568,f32197])).
% 44.17/5.92 fof(f33755,plain,(
% 44.17/5.92 spl0_5|~spl0_49),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33754])).
% 44.17/5.92 fof(f33767,plain,(
% 44.17/5.92 ![X0,X1]: (~c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)|~spl0_244)),
% 44.17/5.92 inference(backward_subsumption_resolution,[status(thm)],[f14024,f33344])).
% 44.17/5.92 fof(f33768,plain,(
% 44.17/5.92 $false|~spl0_244),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f33767,f33344])).
% 44.17/5.92 fof(f33769,plain,(
% 44.17/5.92 ~spl0_244),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f33768])).
% 44.17/5.92 fof(f34476,plain,(
% 44.17/5.92 ![X0]: (~c_lessequals(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))),
% 44.17/5.92 inference(paramodulation,[status(thm)],[f12796,f17545])).
% 44.17/5.92 fof(f34477,plain,(
% 44.17/5.92 ![X0]: (~c_lessequals(c_Suc(X0),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f31565,f34476])).
% 44.17/5.92 fof(f34629,plain,(
% 44.17/5.92 $false|~spl0_793),
% 44.17/5.92 inference(resolution,[status(thm)],[f32987,f6394])).
% 44.17/5.92 fof(f34630,plain,(
% 44.17/5.92 ~spl0_793),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f34629])).
% 44.17/5.92 fof(f34747,plain,(
% 44.17/5.92 ![X0]: (X0=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_758)),
% 44.17/5.92 inference(backward_demodulation,[status(thm)],[f33122,f6454])).
% 44.17/5.92 fof(f34748,plain,(
% 44.17/5.92 spl0_9|~spl0_758),
% 44.17/5.92 inference(split_clause,[status(thm)],[f34747,f1846,f31421])).
% 44.17/5.92 fof(f34903,plain,(
% 44.17/5.92 $false|~spl0_576),
% 44.17/5.92 inference(resolution,[status(thm)],[f24025,f6394])).
% 44.17/5.92 fof(f34904,plain,(
% 44.17/5.92 ~spl0_576),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f34903])).
% 44.17/5.92 fof(f34907,plain,(
% 44.17/5.92 $false|~spl0_522|~spl0_436),
% 44.17/5.92 inference(resolution,[status(thm)],[f20585,f17574])).
% 44.17/5.92 fof(f34908,plain,(
% 44.17/5.92 ~spl0_522|~spl0_436),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f34907])).
% 44.17/5.92 fof(f34953,plain,(
% 44.17/5.92 $false|~spl0_764),
% 44.17/5.92 inference(resolution,[status(thm)],[f33119,f6394])).
% 44.17/5.92 fof(f34954,plain,(
% 44.17/5.92 ~spl0_764),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f34953])).
% 44.17/5.92 fof(f34955,plain,(
% 44.17/5.92 $false|~spl0_740),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f31326,f1156])).
% 44.17/5.92 fof(f34956,plain,(
% 44.17/5.92 ~spl0_740),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f34955])).
% 44.17/5.92 fof(f34957,plain,(
% 44.17/5.92 $false|~spl0_350),
% 44.17/5.92 inference(resolution,[status(thm)],[f33317,f1156])).
% 44.17/5.92 fof(f34958,plain,(
% 44.17/5.92 ~spl0_350),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f34957])).
% 44.17/5.92 fof(f35019,plain,(
% 44.17/5.92 spl0_799 <=> c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat)),
% 44.17/5.92 introduced(split_symbol_definition)).
% 44.17/5.92 fof(f35022,plain,(
% 44.17/5.92 ![X0]: (c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat)|~spl0_435)),
% 44.17/5.92 inference(paramodulation,[status(thm)],[f11111,f29817])).
% 44.17/5.92 fof(f35023,plain,(
% 44.17/5.92 spl0_208|spl0_799|~spl0_435),
% 44.17/5.92 inference(split_clause,[status(thm)],[f35022,f8354,f35019,f14409])).
% 44.17/5.92 fof(f35122,plain,(
% 44.17/5.92 spl0_91|~spl0_89),
% 44.17/5.92 inference(split_clause,[status(thm)],[f33493,f2977,f2966])).
% 44.17/5.92 fof(f35123,plain,(
% 44.17/5.92 spl0_91|~spl0_6|~spl0_172),
% 44.17/5.92 inference(split_clause,[status(thm)],[f33368,f2977,f1778,f4881])).
% 44.17/5.92 fof(f35293,plain,(
% 44.17/5.92 ~c_lessequals(v_n,v_m,tc_nat)|v_a=c_HOL_Ozero__class_Ozero(t_a)|spl0_4),
% 44.17/5.92 inference(resolution,[status(thm)],[f1724,f18954])).
% 44.17/5.92 fof(f35294,plain,(
% 44.17/5.92 ~spl0_3|spl0_1|spl0_4),
% 44.17/5.92 inference(split_clause,[status(thm)],[f35293,f1718,f1711,f1722])).
% 44.17/5.92 fof(f35607,plain,(
% 44.17/5.92 spl0_801 <=> c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|X0=c_HOL_Ozero__class_Ozero(tc_nat)),
% 44.17/5.92 introduced(split_symbol_definition)).
% 44.17/5.92 fof(f35618,plain,(
% 44.17/5.92 ![X0]: (~class_Ring__and__Field_Ozero__neq__one(tc_nat)|~class_Ring__and__Field_Ono__zero__divisors(tc_nat)|~class_Ring__and__Field_Omult__zero(tc_nat)|c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|X0=c_HOL_Ozero__class_Ozero(tc_nat))),
% 44.17/5.92 inference(resolution,[status(thm)],[f875,f1707])).
% 44.17/5.92 fof(f35619,plain,(
% 44.17/5.92 ~spl0_128|~spl0_132|~spl0_129|spl0_801),
% 44.17/5.92 inference(split_clause,[status(thm)],[f35618,f3680,f3696,f3683,f35607])).
% 44.17/5.92 fof(f36124,plain,(
% 44.17/5.92 ~c_lessequals(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
% 44.17/5.92 inference(paramodulation,[status(thm)],[f12796,f34477])).
% 44.17/5.92 fof(f36125,plain,(
% 44.17/5.92 $false|~spl0_480),
% 44.17/5.92 inference(forward_subsumption_resolution,[status(thm)],[f36124,f16784])).
% 44.17/5.92 fof(f36126,plain,(
% 44.17/5.92 ~spl0_480),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f36125])).
% 44.17/5.92 fof(f36279,plain,(
% 44.17/5.92 spl0_804 <=> c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)),
% 44.17/5.92 introduced(split_symbol_definition)).
% 44.17/5.92 fof(f36281,plain,(
% 44.17/5.92 ~c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|spl0_804),
% 44.17/5.92 inference(component_clause,[status(thm)],[f36279])).
% 44.17/5.92 fof(f36324,plain,(
% 44.17/5.92 ~c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|spl0_804),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f12796,f36281])).
% 44.17/5.92 fof(f36325,plain,(
% 44.17/5.92 ~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|spl0_804),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f1331,f36324])).
% 44.17/5.92 fof(f36326,plain,(
% 44.17/5.92 $false|spl0_804),
% 44.17/5.92 inference(trivial_equality_resolution,[status(esa)],[f36325])).
% 44.17/5.92 fof(f36327,plain,(
% 44.17/5.92 spl0_804),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f36326])).
% 44.17/5.92 fof(f36361,plain,(
% 44.17/5.92 spl0_806 <=> c_lessequals(X1,c_Suc(X1),tc_nat)),
% 44.17/5.92 introduced(split_symbol_definition)).
% 44.17/5.92 fof(f36364,plain,(
% 44.17/5.92 ![X0,X1]: (c_lessequals(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)|c_lessequals(X1,c_Suc(X1),tc_nat)|~spl0_435)),
% 44.17/5.92 inference(paramodulation,[status(thm)],[f32101,f15110])).
% 44.17/5.92 fof(f36365,plain,(
% 44.17/5.92 spl0_480|spl0_806|~spl0_435),
% 44.17/5.92 inference(split_clause,[status(thm)],[f36364,f16783,f36361,f14409])).
% 44.17/5.92 fof(f36797,plain,(
% 44.17/5.92 ![X0]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)|~spl0_414)),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f1742,f13250])).
% 44.17/5.92 fof(f36798,plain,(
% 44.17/5.92 ![X0]: (~X0=X0|~spl0_412)),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f1742,f13235])).
% 44.17/5.92 fof(f36799,plain,(
% 44.17/5.92 $false|~spl0_412),
% 44.17/5.92 inference(trivial_equality_resolution,[status(esa)],[f36798])).
% 44.17/5.92 fof(f36800,plain,(
% 44.17/5.92 ~spl0_412),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f36799])).
% 44.17/5.92 fof(f36801,plain,(
% 44.17/5.92 ![X0]: (~X0=X0|~spl0_410)),
% 44.17/5.92 inference(forward_demodulation,[status(thm)],[f1732,f13227])).
% 44.17/5.92 fof(f36802,plain,(
% 44.17/5.92 $false|~spl0_410),
% 44.17/5.92 inference(trivial_equality_resolution,[status(esa)],[f36801])).
% 44.17/5.92 fof(f36803,plain,(
% 44.17/5.92 ~spl0_410),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f36802])).
% 44.17/5.92 fof(f37015,plain,(
% 44.17/5.92 c_lessequals(v_n,v_m,tc_nat)|spl0_639),
% 44.17/5.92 inference(resolution,[status(thm)],[f9822,f28310])).
% 44.17/5.92 fof(f37016,plain,(
% 44.17/5.92 spl0_3|spl0_639),
% 44.17/5.92 inference(split_clause,[status(thm)],[f37015,f1718,f28308])).
% 44.17/5.92 fof(f37793,plain,(
% 44.17/5.92 ![X0]: (~c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))),
% 44.17/5.92 inference(paramodulation,[status(thm)],[f1732,f1426])).
% 44.17/5.92 fof(f38164,plain,(
% 44.17/5.92 $false|~spl0_414),
% 44.17/5.92 inference(resolution,[status(thm)],[f36797,f37793])).
% 44.17/5.92 fof(f38165,plain,(
% 44.17/5.92 ~spl0_414),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f38164])).
% 44.17/5.92 fof(f38434,plain,(
% 44.17/5.92 spl0_825 <=> ~c_GCD_Ogcd__class_Ogcd(v_n,X0,tc_nat)=v_n),
% 44.17/5.92 introduced(split_symbol_definition)).
% 44.17/5.92 fof(f38435,plain,(
% 44.17/5.92 ![X0]: (~c_GCD_Ogcd__class_Ogcd(v_n,X0,tc_nat)=v_n|~spl0_825)),
% 44.17/5.92 inference(component_clause,[status(thm)],[f38434])).
% 44.17/5.92 fof(f38455,plain,(
% 44.17/5.92 $false|~spl0_825),
% 44.17/5.92 inference(resolution,[status(thm)],[f38435,f1176])).
% 44.17/5.92 fof(f38456,plain,(
% 44.17/5.92 ~spl0_825),
% 44.17/5.92 inference(contradiction_clause,[status(thm)],[f38455])).
% 44.17/5.92 fof(f38642,plain,(
% 44.17/5.92 ~c_lessequals(v_m,v_n,tc_nat)|v_a=c_HOL_Ozero__class_Ozero(t_a)|spl0_2),
% 44.17/5.92 inference(resolution,[status(thm)],[f7157,f1759])).
% 44.17/5.92 fof(f38643,plain,(
% 44.17/5.92 ~spl0_627|spl0_1|spl0_2),
% 44.17/5.92 inference(split_clause,[status(thm)],[f38642,f28090,f1711,f1715])).
% 44.17/5.92 fof(f38651,plain,(
% 44.17/5.92 $false),
% 44.17/5.92 inference(sat_refutation,[status(thm)],[f1714,f1721,f1725,f1740,f1782,f1787,f1792,f1853,f1861,f1864,f1948,f1951,f1975,f1977,f2043,f2048,f2091,f2114,f2130,f2138,f2189,f2200,f2205,f2232,f2237,f2244,f2249,f2254,f2298,f2367,f2377,f2400,f2420,f2635,f2640,f2653,f2658,f2663,f2668,f2688,f2765,f2770,f2783,f2829,f3157,f3195,f3623,f3628,f3645,f3650,f3655,f3693,f3709,f3715,f3717,f3719,f3881,f3934,f4362,f4399,f4401,f4512,f4541,f4550,f5197,f5199,f5216,f5220,f5432,f5450,f5470,f5498,f5572,f5858,f5863,f5898,f5962,f6012,f6526,f6540,f6545,f6567,f6574,f6603,f6659,f6819,f7002,f7311,f7403,f7433,f7472,f7511,f7607,f8109,f8130,f8169,f8358,f8510,f8780,f8824,f8898,f9344,f9452,f9661,f9685,f9884,f9894,f9903,f9908,f9940,f9984,f10028,f10033,f10241,f10809,f10830,f11101,f11119,f11859,f11868,f12077,f12712,f12717,f12722,f12727,f12732,f12737,f12742,f12873,f12886,f12891,f12986,f13080,f13102,f13225,f13233,f13248,f13273,f13278,f13292,f13320,f13336,f13415,f13458,f13474,f14246,f14398,f14404,f14408,f14413,f14419,f14437,f14512,f14517,f14562,f14567,f14574,f14577,f14583,f14585,f14675,f14680,f15329,f15918,f16099,f16146,f16171,f16176,f16181,f16186,f16238,f16276,f16305,f16329,f16386,f16682,f16767,f17631,f17654,f17659,f17664,f17669,f17724,f17729,f17734,f17743,f17776,f17792,f17799,f18442,f19129,f19134,f19139,f19250,f19284,f19291,f19395,f19400,f19405,f19434,f19441,f20572,f20592,f20725,f20734,f20752,f20757,f20764,f20773,f20788,f20815,f20933,f20938,f20959,f20983,f21478,f21552,f21579,f22217,f22448,f23125,f23409,f23416,f23554,f23651,f24736,f24825,f25165,f25526,f25536,f26033,f26786,f26975,f26979,f27387,f27401,f27514,f27519,f27546,f27602,f27607,f27954,f27963,f28312,f28561,f29054,f29059,f29181,f29186,f29303,f29564,f29570,f29575,f29581,f29590,f29595,f29600,f29605,f29607,f29612,f29617,f29622,f29627,f29629,f29634,f29639,f29644,f29649,f29654,f29658,f29660,f29665,f29667,f29869,f30084,f30176,f30705,f31027,f31104,f31111,f31115,f31199,f31435,f31440,f31445,f31942,f32528,f32550,f32709,f33065,f33067,f33070,f33073,f33076,f33079,f33080,f33087,f33100,f33112,f33121,f33124,f33126,f33128,f33130,f33133,f33137,f33139,f33141,f33143,f33145,f33148,f33150,f33152,f33154,f33156,f33158,f33160,f33162,f33164,f33182,f33195,f33199,f33201,f33203,f33208,f33210,f33212,f33214,f33217,f33219,f33221,f33223,f33225,f33227,f33229,f33231,f33233,f33238,f33240,f33242,f33244,f33247,f33249,f33251,f33253,f33255,f33257,f33259,f33262,f33265,f33268,f33271,f33274,f33277,f33279,f33281,f33293,f33295,f33348,f33353,f33356,f33360,f33361,f33365,f33386,f33489,f33506,f33527,f33536,f33540,f33544,f33550,f33556,f33559,f33567,f33584,f33591,f33651,f33739,f33741,f33743,f33745,f33747,f33749,f33751,f33753,f33755,f33769,f34630,f34748,f34904,f34908,f34954,f34956,f34958,f35023,f35122,f35123,f35294,f35619,f36126,f36327,f36365,f36800,f36803,f37016,f38165,f38456,f38643])).
% 44.28/5.95 % SZS output end CNFRefutation for theBenchmark.p
% 44.28/5.97 % Elapsed time: 5.648297 seconds
% 44.28/5.97 % CPU time: 44.204831 seconds
% 44.28/5.97 % Total memory used: 421.777 MB
% 44.28/5.97 % Net memory used: 411.176 MB
%------------------------------------------------------------------------------