TSTP Solution File: SWV678-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV678-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:43:49 EDT 2023
% Result : Unsatisfiable 7.76s 1.40s
% Output : CNFRefutation 7.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV678-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue May 30 11:36:52 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.39 % Drodi V3.5.1
% 7.76/1.40 % Refutation found
% 7.76/1.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 7.76/1.40 % SZS output start CNFRefutation for theBenchmark
% 7.76/1.40 fof(f53,axiom,(
% 7.76/1.40 (![V_m]: (c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_m) ))),
% 7.76/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.76/1.40 fof(f134,axiom,(
% 7.76/1.40 (![V_n]: (V_n != c_Suc(V_n) ))),
% 7.76/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.76/1.40 fof(f230,axiom,(
% 7.76/1.40 (![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) ) ))),
% 7.76/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.76/1.40 fof(f302,axiom,(
% 7.76/1.40 (![V_m]: (~ c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ))),
% 7.76/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.76/1.40 fof(f405,axiom,(
% 7.76/1.40 (![V_n]: (c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ))),
% 7.76/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.76/1.40 fof(f424,axiom,(
% 7.76/1.40 (![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 ))),
% 7.76/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.76/1.40 fof(f425,axiom,(
% 7.76/1.40 (![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 ))),
% 7.76/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.76/1.40 fof(f426,axiom,(
% 7.76/1.40 ( ~ class_Ring__and__Field_Ofield(t_a)| v_a != c_HOL_Ozero__class_Ozero(t_a) ) ),
% 7.76/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.76/1.40 fof(f463,axiom,(
% 7.76/1.40 (![V_n]: (~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat) ))),
% 7.76/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.76/1.40 fof(f603,axiom,(
% 7.76/1.40 (![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) ) ))),
% 7.76/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.76/1.40 fof(f604,axiom,(
% 7.76/1.40 (![V_n,V_m]: (( c_lessequals(V_n,V_m,tc_nat)| c_lessequals(V_m,V_n,tc_nat) ) ))),
% 7.76/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.76/1.40 fof(f608,axiom,(
% 7.76/1.40 (![V_n]: (c_lessequals(V_n,V_n,tc_nat) ))),
% 7.76/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.76/1.40 fof(f613,axiom,(
% 7.76/1.40 c_lessequals(v_n,v_m,tc_nat) ),
% 7.76/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.76/1.40 fof(f636,axiom,(
% 7.76/1.40 (![V_m,V_n]: (c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat) ))),
% 7.76/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.76/1.40 fof(f641,negated_conjecture,(
% 7.76/1.40 class_Ring__and__Field_Ofield(t_a) ),
% 7.76/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.76/1.40 fof(f643,negated_conjecture,(
% 7.76/1.40 ( 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) ) ),
% 7.76/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.76/1.40 fof(f675,axiom,(
% 7.76/1.40 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 7.76/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.76/1.40 fof(f676,axiom,(
% 7.76/1.40 class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 7.76/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.76/1.40 fof(f683,axiom,(
% 7.76/1.40 class_Nat_Osemiring__char__0(tc_nat) ),
% 7.76/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.76/1.40 fof(f687,axiom,(
% 7.76/1.40 class_Power_Opower(tc_nat) ),
% 7.76/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.76/1.40 fof(f767,plain,(
% 7.76/1.40 ![X0]: (~c_HOL_Ozero__class_Ozero(tc_nat)=c_Suc(X0))),
% 7.76/1.40 inference(cnf_transformation,[status(esa)],[f53])).
% 7.76/1.40 fof(f891,plain,(
% 7.76/1.40 ![X0]: (~X0=c_Suc(X0))),
% 7.76/1.40 inference(cnf_transformation,[status(esa)],[f134])).
% 7.76/1.40 fof(f1043,plain,(
% 7.76/1.40 ![X0]: (~class_Ring__and__Field_Ozero__neq__one(X0)|~c_HOL_Ozero__class_Ozero(X0)=c_HOL_Oone__class_Oone(X0))),
% 7.76/1.40 inference(cnf_transformation,[status(esa)],[f230])).
% 7.76/1.40 fof(f1161,plain,(
% 7.76/1.40 ![X0]: (~c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))),
% 7.76/1.40 inference(cnf_transformation,[status(esa)],[f302])).
% 7.76/1.40 fof(f1314,plain,(
% 7.76/1.40 ![X0]: (c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat))),
% 7.76/1.40 inference(cnf_transformation,[status(esa)],[f405])).
% 7.76/1.40 fof(f1338,plain,(
% 7.76/1.40 ![X0,X1]: (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X0,tc_nat)=X1)),
% 7.76/1.40 inference(cnf_transformation,[status(esa)],[f424])).
% 7.76/1.40 fof(f1339,plain,(
% 7.76/1.40 ![X0,X1]: (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X1,tc_nat)=X0)),
% 7.76/1.40 inference(cnf_transformation,[status(esa)],[f425])).
% 7.76/1.40 fof(f1340,plain,(
% 7.76/1.40 ~class_Ring__and__Field_Ofield(t_a)|~v_a=c_HOL_Ozero__class_Ozero(t_a)),
% 7.76/1.40 inference(cnf_transformation,[status(esa)],[f426])).
% 7.76/1.40 fof(f1392,plain,(
% 7.76/1.40 ![X0]: (~c_HOL_Oord__class_Oless(X0,X0,tc_nat))),
% 7.76/1.40 inference(cnf_transformation,[status(esa)],[f463])).
% 7.76/1.40 fof(f1605,plain,(
% 7.76/1.40 ![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))),
% 7.76/1.40 inference(miniscoping,[status(esa)],[f603])).
% 7.76/1.40 fof(f1606,plain,(
% 7.76/1.40 ![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))),
% 7.76/1.40 inference(cnf_transformation,[status(esa)],[f1605])).
% 7.76/1.40 fof(f1607,plain,(
% 7.76/1.40 ![X0,X1]: (c_lessequals(X0,X1,tc_nat)|c_lessequals(X1,X0,tc_nat))),
% 7.76/1.40 inference(cnf_transformation,[status(esa)],[f604])).
% 7.76/1.40 fof(f1613,plain,(
% 7.76/1.40 ![X0]: (c_lessequals(X0,X0,tc_nat))),
% 7.76/1.40 inference(cnf_transformation,[status(esa)],[f608])).
% 7.76/1.40 fof(f1621,plain,(
% 7.76/1.40 c_lessequals(v_n,v_m,tc_nat)),
% 7.76/1.40 inference(cnf_transformation,[status(esa)],[f613])).
% 7.76/1.40 fof(f1661,plain,(
% 7.76/1.40 ![X0,X1]: (c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat))),
% 7.76/1.40 inference(cnf_transformation,[status(esa)],[f636])).
% 7.76/1.40 fof(f1667,plain,(
% 7.76/1.40 class_Ring__and__Field_Ofield(t_a)),
% 7.76/1.40 inference(cnf_transformation,[status(esa)],[f641])).
% 7.76/1.40 fof(f1669,plain,(
% 7.76/1.40 ~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)),
% 7.76/1.40 inference(cnf_transformation,[status(esa)],[f643])).
% 7.76/1.40 fof(f1701,plain,(
% 7.76/1.40 class_OrderedGroup_Ocomm__monoid__add(tc_nat)),
% 7.76/1.40 inference(cnf_transformation,[status(esa)],[f675])).
% 7.76/1.40 fof(f1702,plain,(
% 7.76/1.40 class_Ring__and__Field_Ozero__neq__one(tc_nat)),
% 7.76/1.40 inference(cnf_transformation,[status(esa)],[f676])).
% 7.76/1.40 fof(f1709,plain,(
% 7.76/1.40 class_Nat_Osemiring__char__0(tc_nat)),
% 7.76/1.40 inference(cnf_transformation,[status(esa)],[f683])).
% 7.76/1.40 fof(f1713,plain,(
% 7.76/1.40 class_Power_Opower(tc_nat)),
% 7.76/1.40 inference(cnf_transformation,[status(esa)],[f687])).
% 7.76/1.40 fof(f1714,plain,(
% 7.76/1.40 spl0_0 <=> class_Ring__and__Field_Ofield(t_a)),
% 7.76/1.40 introduced(split_symbol_definition)).
% 7.76/1.40 fof(f1716,plain,(
% 7.76/1.40 ~class_Ring__and__Field_Ofield(t_a)|spl0_0),
% 7.76/1.40 inference(component_clause,[status(thm)],[f1714])).
% 7.76/1.40 fof(f1717,plain,(
% 7.76/1.40 spl0_1 <=> v_a=c_HOL_Ozero__class_Ozero(t_a)),
% 7.76/1.40 introduced(split_symbol_definition)).
% 7.76/1.40 fof(f1719,plain,(
% 7.76/1.40 ~v_a=c_HOL_Ozero__class_Ozero(t_a)|spl0_1),
% 7.76/1.40 inference(component_clause,[status(thm)],[f1717])).
% 7.76/1.40 fof(f1720,plain,(
% 7.76/1.40 ~spl0_0|~spl0_1),
% 7.76/1.40 inference(split_clause,[status(thm)],[f1340,f1714,f1717])).
% 7.76/1.40 fof(f1725,plain,(
% 7.76/1.40 spl0_3 <=> c_lessequals(v_n,v_m,tc_nat)),
% 7.76/1.40 introduced(split_symbol_definition)).
% 7.76/1.40 fof(f1727,plain,(
% 7.76/1.40 ~c_lessequals(v_n,v_m,tc_nat)|spl0_3),
% 7.76/1.40 inference(component_clause,[status(thm)],[f1725])).
% 7.76/1.40 fof(f1729,plain,(
% 7.76/1.40 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)),
% 7.76/1.40 introduced(split_symbol_definition)).
% 7.76/1.40 fof(f1731,plain,(
% 7.76/1.40 ~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),
% 7.76/1.40 inference(component_clause,[status(thm)],[f1729])).
% 7.76/1.40 fof(f1732,plain,(
% 7.76/1.40 ~spl0_4|~spl0_3),
% 7.76/1.40 inference(split_clause,[status(thm)],[f1669,f1729,f1725])).
% 7.76/1.40 fof(f1743,plain,(
% 7.76/1.40 $false|spl0_0),
% 7.76/1.40 inference(forward_subsumption_resolution,[status(thm)],[f1716,f1667])).
% 7.76/1.40 fof(f1744,plain,(
% 7.76/1.40 spl0_0),
% 7.76/1.40 inference(contradiction_clause,[status(thm)],[f1743])).
% 7.76/1.40 fof(f1753,plain,(
% 7.76/1.40 spl0_6 <=> ~c_lessequals(X0,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)),
% 7.76/1.40 introduced(split_symbol_definition)).
% 7.76/1.40 fof(f1754,plain,(
% 7.76/1.40 ![X0,X1]: (~c_lessequals(X0,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)|~spl0_6)),
% 7.76/1.40 inference(component_clause,[status(thm)],[f1753])).
% 7.76/1.40 fof(f1758,plain,(
% 7.76/1.40 spl0_7 <=> ~c_lessequals(X0,X0,tc_nat)),
% 7.76/1.40 introduced(split_symbol_definition)).
% 7.76/1.40 fof(f1759,plain,(
% 7.76/1.40 ![X0]: (~c_lessequals(X0,X0,tc_nat)|~spl0_7)),
% 7.76/1.40 inference(component_clause,[status(thm)],[f1758])).
% 7.76/1.40 fof(f1778,plain,(
% 7.76/1.40 ![X0,X1]: (c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),tc_nat))),
% 7.76/1.40 inference(paramodulation,[status(thm)],[f1338,f1661])).
% 7.76/1.40 fof(f1791,plain,(
% 7.76/1.40 ![X0,X1]: (c_lessequals(X0,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat))),
% 7.76/1.40 inference(paramodulation,[status(thm)],[f1339,f1661])).
% 7.76/1.40 fof(f1799,plain,(
% 7.76/1.40 spl0_8 <=> ~c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)),
% 7.76/1.40 introduced(split_symbol_definition)).
% 7.76/1.40 fof(f1800,plain,(
% 7.76/1.40 ![X0]: (~c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)|~spl0_8)),
% 7.76/1.40 inference(component_clause,[status(thm)],[f1799])).
% 7.76/1.40 fof(f1919,plain,(
% 7.76/1.40 $false|spl0_3),
% 7.76/1.40 inference(forward_subsumption_resolution,[status(thm)],[f1727,f1621])).
% 7.76/1.40 fof(f1920,plain,(
% 7.76/1.40 spl0_3),
% 7.76/1.40 inference(contradiction_clause,[status(thm)],[f1919])).
% 7.76/1.40 fof(f1931,plain,(
% 7.76/1.40 spl0_15 <=> ~c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)),
% 7.76/1.40 introduced(split_symbol_definition)).
% 7.76/1.40 fof(f1932,plain,(
% 7.76/1.40 ![X0,X1]: (~c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)|~spl0_15)),
% 7.76/1.40 inference(component_clause,[status(thm)],[f1931])).
% 7.76/1.40 fof(f1954,plain,(
% 7.76/1.40 spl0_17 <=> ~c_lessequals(X0,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)),
% 7.76/1.40 introduced(split_symbol_definition)).
% 7.76/1.40 fof(f1955,plain,(
% 7.76/1.40 ![X0,X1]: (~c_lessequals(X0,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)|~spl0_17)),
% 7.76/1.40 inference(component_clause,[status(thm)],[f1954])).
% 7.76/1.40 fof(f1977,plain,(
% 7.76/1.40 spl0_18 <=> ~c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)),
% 7.76/1.40 introduced(split_symbol_definition)).
% 7.76/1.40 fof(f1978,plain,(
% 7.76/1.40 ![X0,X1,X2]: (~c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)|~spl0_18)),
% 7.76/1.40 inference(component_clause,[status(thm)],[f1977])).
% 7.76/1.40 fof(f1987,plain,(
% 7.76/1.40 spl0_20 <=> ~c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)),
% 7.76/1.40 introduced(split_symbol_definition)).
% 7.76/1.40 fof(f1988,plain,(
% 7.76/1.40 ![X0,X1]: (~c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)|~spl0_20)),
% 7.76/1.40 inference(component_clause,[status(thm)],[f1987])).
% 7.76/1.40 fof(f2017,plain,(
% 7.76/1.40 spl0_24 <=> ~c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),tc_nat)),
% 7.76/1.40 introduced(split_symbol_definition)).
% 7.76/1.40 fof(f2018,plain,(
% 7.76/1.40 ![X0,X1]: (~c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),tc_nat)|~spl0_24)),
% 7.76/1.40 inference(component_clause,[status(thm)],[f2017])).
% 7.76/1.40 fof(f2179,plain,(
% 7.76/1.40 spl0_30 <=> v_n=v_n),
% 7.76/1.40 introduced(split_symbol_definition)).
% 7.76/1.40 fof(f2181,plain,(
% 7.76/1.40 ~v_n=v_n|spl0_30),
% 7.76/1.40 inference(component_clause,[status(thm)],[f2179])).
% 7.76/1.40 fof(f2189,plain,(
% 7.76/1.40 $false|spl0_30),
% 7.76/1.40 inference(trivial_equality_resolution,[status(esa)],[f2181])).
% 7.76/1.40 fof(f2190,plain,(
% 7.76/1.40 spl0_30),
% 7.76/1.40 inference(contradiction_clause,[status(thm)],[f2189])).
% 7.76/1.40 fof(f2778,plain,(
% 7.76/1.40 $false|~spl0_24),
% 7.76/1.40 inference(forward_subsumption_resolution,[status(thm)],[f2018,f1778])).
% 7.76/1.40 fof(f2779,plain,(
% 7.76/1.40 ~spl0_24),
% 7.76/1.40 inference(contradiction_clause,[status(thm)],[f2778])).
% 7.76/1.40 fof(f2780,plain,(
% 7.76/1.40 $false|~spl0_20),
% 7.76/1.40 inference(forward_subsumption_resolution,[status(thm)],[f1988,f1314])).
% 7.76/1.40 fof(f2781,plain,(
% 7.76/1.40 ~spl0_20),
% 7.76/1.40 inference(contradiction_clause,[status(thm)],[f2780])).
% 7.76/1.40 fof(f2783,plain,(
% 7.76/1.40 $false|~spl0_15),
% 7.76/1.40 inference(forward_subsumption_resolution,[status(thm)],[f1932,f1661])).
% 7.76/1.40 fof(f2784,plain,(
% 7.76/1.40 ~spl0_15),
% 7.76/1.40 inference(contradiction_clause,[status(thm)],[f2783])).
% 7.76/1.40 fof(f2785,plain,(
% 7.76/1.40 $false|~spl0_8),
% 7.76/1.40 inference(forward_subsumption_resolution,[status(thm)],[f1800,f1314])).
% 7.76/1.40 fof(f2786,plain,(
% 7.76/1.40 ~spl0_8),
% 7.76/1.40 inference(contradiction_clause,[status(thm)],[f2785])).
% 7.76/1.40 fof(f2787,plain,(
% 7.76/1.40 $false|~spl0_7),
% 7.76/1.40 inference(forward_subsumption_resolution,[status(thm)],[f1759,f1613])).
% 7.76/1.40 fof(f2788,plain,(
% 7.76/1.40 ~spl0_7),
% 7.76/1.40 inference(contradiction_clause,[status(thm)],[f2787])).
% 7.76/1.40 fof(f2789,plain,(
% 7.76/1.40 $false|~spl0_6),
% 7.76/1.40 inference(forward_subsumption_resolution,[status(thm)],[f1754,f1791])).
% 7.76/1.40 fof(f2790,plain,(
% 7.76/1.40 ~spl0_6),
% 7.76/1.40 inference(contradiction_clause,[status(thm)],[f2789])).
% 7.76/1.40 fof(f2894,plain,(
% 7.76/1.40 $false|~spl0_17),
% 7.76/1.40 inference(resolution,[status(thm)],[f1955,f1314])).
% 7.76/1.40 fof(f2895,plain,(
% 7.76/1.40 ~spl0_17),
% 7.76/1.40 inference(contradiction_clause,[status(thm)],[f2894])).
% 7.76/1.40 fof(f2904,plain,(
% 7.76/1.40 ![X0,X1,X2]: (c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)|~spl0_18)),
% 7.76/1.40 inference(resolution,[status(thm)],[f1978,f1607])).
% 7.76/1.40 fof(f2905,plain,(
% 7.76/1.40 $false|~spl0_18),
% 7.76/1.40 inference(forward_subsumption_resolution,[status(thm)],[f2904,f1978])).
% 7.76/1.40 fof(f2906,plain,(
% 7.76/1.40 ~spl0_18),
% 7.76/1.40 inference(contradiction_clause,[status(thm)],[f2905])).
% 7.76/1.40 fof(f3353,plain,(
% 7.76/1.40 ~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Oone__class_Oone(tc_nat)),
% 7.76/1.40 inference(resolution,[status(thm)],[f1043,f1702])).
% 7.76/1.40 fof(f3362,plain,(
% 7.76/1.40 spl0_62 <=> class_OrderedGroup_Ocomm__monoid__add(tc_nat)),
% 7.76/1.40 introduced(split_symbol_definition)).
% 7.76/1.40 fof(f3364,plain,(
% 7.76/1.40 ~class_OrderedGroup_Ocomm__monoid__add(tc_nat)|spl0_62),
% 7.76/1.40 inference(component_clause,[status(thm)],[f3362])).
% 7.76/1.40 fof(f3370,plain,(
% 7.76/1.40 $false|spl0_62),
% 7.76/1.40 inference(forward_subsumption_resolution,[status(thm)],[f3364,f1701])).
% 7.76/1.40 fof(f3371,plain,(
% 7.76/1.40 spl0_62),
% 7.76/1.40 inference(contradiction_clause,[status(thm)],[f3370])).
% 7.76/1.40 fof(f3376,plain,(
% 7.76/1.40 spl0_65 <=> c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Ozero__class_Ozero(tc_nat)),
% 7.76/1.40 introduced(split_symbol_definition)).
% 7.76/1.40 fof(f3377,plain,(
% 7.76/1.40 c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_65),
% 7.76/1.40 inference(component_clause,[status(thm)],[f3376])).
% 7.76/1.40 fof(f3396,plain,(
% 7.76/1.40 $false|~spl0_65),
% 7.76/1.40 inference(forward_subsumption_resolution,[status(thm)],[f3377,f767])).
% 7.76/1.40 fof(f3397,plain,(
% 7.76/1.40 ~spl0_65),
% 7.76/1.40 inference(contradiction_clause,[status(thm)],[f3396])).
% 7.76/1.40 fof(f6018,plain,(
% 7.76/1.40 spl0_272 <=> c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))=c_HOL_Ozero__class_Ozero(tc_nat)),
% 7.76/1.40 introduced(split_symbol_definition)).
% 7.76/1.40 fof(f6019,plain,(
% 7.76/1.40 c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_272),
% 7.76/1.40 inference(component_clause,[status(thm)],[f6018])).
% 7.76/1.40 fof(f6553,plain,(
% 7.76/1.40 spl0_289 <=> c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)),
% 7.76/1.40 introduced(split_symbol_definition)).
% 7.76/1.40 fof(f6554,plain,(
% 7.76/1.40 c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_289),
% 7.76/1.40 inference(component_clause,[status(thm)],[f6553])).
% 7.76/1.40 fof(f6562,plain,(
% 7.76/1.40 spl0_291 <=> ~class_Nat_Osemiring__char__0(X0)),
% 7.76/1.40 introduced(split_symbol_definition)).
% 7.76/1.40 fof(f6563,plain,(
% 7.76/1.40 ![X0]: (~class_Nat_Osemiring__char__0(X0)|~spl0_291)),
% 7.76/1.40 inference(component_clause,[status(thm)],[f6562])).
% 7.76/1.40 fof(f6570,plain,(
% 7.76/1.40 $false|~spl0_291),
% 7.76/1.40 inference(backward_subsumption_resolution,[status(thm)],[f1709,f6563])).
% 7.76/1.40 fof(f6571,plain,(
% 7.76/1.40 ~spl0_291),
% 7.76/1.40 inference(contradiction_clause,[status(thm)],[f6570])).
% 7.76/1.40 fof(f7826,plain,(
% 7.76/1.40 $false|~spl0_289),
% 7.76/1.40 inference(forward_subsumption_resolution,[status(thm)],[f6554,f3353])).
% 7.76/1.40 fof(f7827,plain,(
% 7.76/1.40 ~spl0_289),
% 7.76/1.40 inference(contradiction_clause,[status(thm)],[f7826])).
% 7.76/1.40 fof(f7964,plain,(
% 7.76/1.40 ![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))),
% 7.76/1.41 inference(resolution,[status(thm)],[f1606,f1667])).
% 7.76/1.41 fof(f8089,plain,(
% 7.76/1.41 spl0_375 <=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
% 7.76/1.41 introduced(split_symbol_definition)).
% 7.76/1.41 fof(f8090,plain,(
% 7.76/1.41 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)|~spl0_375),
% 7.76/1.41 inference(component_clause,[status(thm)],[f8089])).
% 7.76/1.41 fof(f8111,plain,(
% 7.76/1.41 spl0_378 <=> c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat)),
% 7.76/1.41 introduced(split_symbol_definition)).
% 7.76/1.41 fof(f8112,plain,(
% 7.76/1.41 c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat)|~spl0_378),
% 7.76/1.41 inference(component_clause,[status(thm)],[f8111])).
% 7.76/1.41 fof(f8117,plain,(
% 7.76/1.41 spl0_380 <=> c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),
% 7.76/1.41 introduced(split_symbol_definition)).
% 7.76/1.41 fof(f8118,plain,(
% 7.76/1.41 c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|~spl0_380),
% 7.76/1.41 inference(component_clause,[status(thm)],[f8117])).
% 7.76/1.41 fof(f8169,plain,(
% 7.76/1.41 $false|~spl0_272),
% 7.76/1.41 inference(forward_subsumption_resolution,[status(thm)],[f6019,f767])).
% 7.76/1.41 fof(f8170,plain,(
% 7.76/1.41 ~spl0_272),
% 7.76/1.41 inference(contradiction_clause,[status(thm)],[f8169])).
% 7.76/1.41 fof(f8171,plain,(
% 7.76/1.41 $false|~spl0_375),
% 7.76/1.41 inference(forward_subsumption_resolution,[status(thm)],[f8090,f1161])).
% 7.76/1.41 fof(f8172,plain,(
% 7.76/1.41 ~spl0_375),
% 7.76/1.41 inference(contradiction_clause,[status(thm)],[f8171])).
% 7.76/1.41 fof(f8176,plain,(
% 7.76/1.41 $false|~spl0_380),
% 7.76/1.41 inference(forward_subsumption_resolution,[status(thm)],[f8118,f891])).
% 7.76/1.41 fof(f8177,plain,(
% 7.76/1.41 ~spl0_380),
% 7.76/1.41 inference(contradiction_clause,[status(thm)],[f8176])).
% 7.76/1.41 fof(f8178,plain,(
% 7.76/1.41 $false|~spl0_378),
% 7.76/1.41 inference(forward_subsumption_resolution,[status(thm)],[f8112,f1392])).
% 7.76/1.41 fof(f8179,plain,(
% 7.76/1.41 ~spl0_378),
% 7.76/1.41 inference(contradiction_clause,[status(thm)],[f8178])).
% 7.76/1.41 fof(f8599,plain,(
% 7.76/1.41 spl0_391 <=> class_Power_Opower(tc_nat)),
% 7.76/1.41 introduced(split_symbol_definition)).
% 7.76/1.41 fof(f8601,plain,(
% 7.76/1.41 ~class_Power_Opower(tc_nat)|spl0_391),
% 7.76/1.41 inference(component_clause,[status(thm)],[f8599])).
% 7.76/1.41 fof(f8609,plain,(
% 7.76/1.41 $false|spl0_391),
% 7.76/1.41 inference(forward_subsumption_resolution,[status(thm)],[f8601,f1713])).
% 7.76/1.41 fof(f8610,plain,(
% 7.76/1.41 spl0_391),
% 7.76/1.41 inference(contradiction_clause,[status(thm)],[f8609])).
% 7.76/1.41 fof(f8759,plain,(
% 7.76/1.41 ![X0]: (c_Power_Opower__class_Opower(X0,c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat),t_a)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,v_m,t_a),c_Power_Opower__class_Opower(X0,v_n,t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a))),
% 7.76/1.41 inference(resolution,[status(thm)],[f7964,f1621])).
% 7.76/1.41 fof(f9262,plain,(
% 7.76/1.41 v_a=c_HOL_Ozero__class_Ozero(t_a)|spl0_4),
% 7.76/1.41 inference(resolution,[status(thm)],[f8759,f1731])).
% 7.76/1.41 fof(f9263,plain,(
% 7.76/1.41 $false|spl0_1|spl0_4),
% 7.76/1.41 inference(forward_subsumption_resolution,[status(thm)],[f9262,f1719])).
% 7.76/1.41 fof(f9264,plain,(
% 7.76/1.41 spl0_1|spl0_4),
% 7.76/1.41 inference(contradiction_clause,[status(thm)],[f9263])).
% 7.76/1.41 fof(f9265,plain,(
% 7.76/1.41 $false),
% 7.76/1.41 inference(sat_refutation,[status(thm)],[f1720,f1732,f1744,f1920,f2190,f2779,f2781,f2784,f2786,f2788,f2790,f2895,f2906,f3371,f3397,f6571,f7827,f8170,f8172,f8177,f8179,f8610,f9264])).
% 7.76/1.41 % SZS output end CNFRefutation for theBenchmark.p
% 7.76/1.44 % Elapsed time: 1.081959 seconds
% 7.76/1.44 % CPU time: 8.196364 seconds
% 7.76/1.44 % Memory used: 199.836 MB
%------------------------------------------------------------------------------