TSTP Solution File: SWW256+1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWW256+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:44:34 EDT 2023
% Result : Theorem 1.13s 0.70s
% Output : CNFRefutation 1.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW256+1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue May 30 11:08:04 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.45 % Drodi V3.5.1
% 1.13/0.70 % Refutation found
% 1.13/0.70 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.13/0.70 % SZS output start CNFRefutation for theBenchmark
% 1.13/0.70 fof(f3,axiom,(
% 1.13/0.70 v_a____ != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 1.13/0.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.13/0.70 fof(f4,axiom,(
% 1.13/0.70 (! [V_n,V_a,T_a] :( class_Power_Opower(T_a)=> hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Nat_OSuc(V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) )),
% 1.13/0.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.13/0.70 fof(f9,axiom,(
% 1.13/0.70 (! [V_n,T_a] :( ( class_Power_Opower(T_a)& class_Rings_Osemiring__0(T_a) )=> hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Nat_OSuc(V_n)) = c_Groups_Ozero__class_Ozero(T_a) ) )),
% 1.13/0.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.13/0.70 fof(f10,axiom,(
% 1.13/0.70 (! [V_n_2,V_aa_2,T_a] :( ( class_Power_Opower(T_a)& class_Rings_Omult__zero(T_a)& class_Rings_Ono__zero__divisors(T_a)& class_Rings_Ozero__neq__one(T_a) )=> ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_aa_2),V_n_2) = c_Groups_Ozero__class_Ozero(T_a)<=> ( V_aa_2 = c_Groups_Ozero__class_Ozero(T_a)& V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) )),
% 1.13/0.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.13/0.70 fof(f445,axiom,(
% 1.13/0.70 c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 1.13/0.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.13/0.70 fof(f1195,axiom,(
% 1.13/0.70 class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex) ),
% 1.13/0.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.13/0.70 fof(f1202,axiom,(
% 1.13/0.70 class_Rings_Ozero__neq__one(tc_Complex_Ocomplex) ),
% 1.13/0.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.13/0.70 fof(f1206,axiom,(
% 1.13/0.70 class_Rings_Osemiring__0(tc_Complex_Ocomplex) ),
% 1.13/0.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.13/0.70 fof(f1208,axiom,(
% 1.13/0.70 class_Rings_Omult__zero(tc_Complex_Ocomplex) ),
% 1.13/0.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.13/0.70 fof(f1217,axiom,(
% 1.13/0.70 class_Power_Opower(tc_Complex_Ocomplex) ),
% 1.13/0.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.13/0.70 fof(f1284,conjecture,(
% 1.13/0.70 (? [B_x,B_y] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),B_x),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),B_x),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),B_y),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),B_y),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )),
% 1.13/0.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.13/0.70 fof(f1285,negated_conjecture,(
% 1.13/0.70 ~((? [B_x,B_y] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),B_x),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),B_x),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),B_y),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),B_y),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) ))),
% 1.13/0.70 inference(negated_conjecture,[status(cth)],[f1284])).
% 1.13/0.70 fof(f1290,plain,(
% 1.13/0.70 ~v_a____=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),
% 1.13/0.70 inference(cnf_transformation,[status(esa)],[f3])).
% 1.13/0.70 fof(f1291,plain,(
% 1.13/0.70 ![V_n,V_a,T_a]: (~class_Power_Opower(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Nat_OSuc(V_n))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)))),
% 1.13/0.70 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 1.13/0.70 fof(f1292,plain,(
% 1.13/0.70 ![T_a]: (~class_Power_Opower(T_a)|(![V_n,V_a]: hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Nat_OSuc(V_n))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))))),
% 1.13/0.70 inference(miniscoping,[status(esa)],[f1291])).
% 1.13/0.70 fof(f1293,plain,(
% 1.13/0.70 ![X0,X1,X2]: (~class_Power_Opower(X0)|hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)))),
% 1.13/0.70 inference(cnf_transformation,[status(esa)],[f1292])).
% 1.13/0.70 fof(f1306,plain,(
% 1.13/0.70 ![V_n,T_a]: ((~class_Power_Opower(T_a)|~class_Rings_Osemiring__0(T_a))|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Nat_OSuc(V_n))=c_Groups_Ozero__class_Ozero(T_a))),
% 1.13/0.70 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 1.13/0.70 fof(f1307,plain,(
% 1.13/0.70 ![T_a]: ((~class_Power_Opower(T_a)|~class_Rings_Osemiring__0(T_a))|(![V_n]: hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Nat_OSuc(V_n))=c_Groups_Ozero__class_Ozero(T_a)))),
% 1.13/0.70 inference(miniscoping,[status(esa)],[f1306])).
% 1.13/0.70 fof(f1308,plain,(
% 1.13/0.70 ![X0,X1]: (~class_Power_Opower(X0)|~class_Rings_Osemiring__0(X0)|hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ozero__class_Ozero(X0)),c_Nat_OSuc(X1))=c_Groups_Ozero__class_Ozero(X0))),
% 1.13/0.70 inference(cnf_transformation,[status(esa)],[f1307])).
% 1.13/0.70 fof(f1309,plain,(
% 1.13/0.70 ![V_n_2,V_aa_2,T_a]: ((((~class_Power_Opower(T_a)|~class_Rings_Omult__zero(T_a))|~class_Rings_Ono__zero__divisors(T_a))|~class_Rings_Ozero__neq__one(T_a))|(hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_aa_2),V_n_2)=c_Groups_Ozero__class_Ozero(T_a)<=>(V_aa_2=c_Groups_Ozero__class_Ozero(T_a)&~V_n_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
% 1.13/0.70 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 1.13/0.70 fof(f1310,plain,(
% 1.13/0.70 ![V_n_2,V_aa_2,T_a]: ((((~class_Power_Opower(T_a)|~class_Rings_Omult__zero(T_a))|~class_Rings_Ono__zero__divisors(T_a))|~class_Rings_Ozero__neq__one(T_a))|((~hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_aa_2),V_n_2)=c_Groups_Ozero__class_Ozero(T_a)|(V_aa_2=c_Groups_Ozero__class_Ozero(T_a)&~V_n_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))&(hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_aa_2),V_n_2)=c_Groups_Ozero__class_Ozero(T_a)|(~V_aa_2=c_Groups_Ozero__class_Ozero(T_a)|V_n_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))),
% 1.13/0.70 inference(NNF_transformation,[status(esa)],[f1309])).
% 1.13/0.70 fof(f1311,plain,(
% 1.13/0.70 ![T_a]: ((((~class_Power_Opower(T_a)|~class_Rings_Omult__zero(T_a))|~class_Rings_Ono__zero__divisors(T_a))|~class_Rings_Ozero__neq__one(T_a))|((![V_n_2,V_aa_2]: (~hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_aa_2),V_n_2)=c_Groups_Ozero__class_Ozero(T_a)|(V_aa_2=c_Groups_Ozero__class_Ozero(T_a)&~V_n_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))&(![V_n_2,V_aa_2]: (hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_aa_2),V_n_2)=c_Groups_Ozero__class_Ozero(T_a)|(~V_aa_2=c_Groups_Ozero__class_Ozero(T_a)|V_n_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))))),
% 1.13/0.70 inference(miniscoping,[status(esa)],[f1310])).
% 1.13/0.70 fof(f1312,plain,(
% 1.13/0.70 ![X0,X1,X2]: (~class_Power_Opower(X0)|~class_Rings_Omult__zero(X0)|~class_Rings_Ono__zero__divisors(X0)|~class_Rings_Ozero__neq__one(X0)|~hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)=c_Groups_Ozero__class_Ozero(X0)|X1=c_Groups_Ozero__class_Ozero(X0))),
% 1.13/0.70 inference(cnf_transformation,[status(esa)],[f1311])).
% 1.13/0.70 fof(f2703,plain,(
% 1.13/0.70 c_Groups_Oone__class_Oone(tc_Nat_Onat)=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
% 1.13/0.70 inference(cnf_transformation,[status(esa)],[f445])).
% 1.13/0.70 fof(f4665,plain,(
% 1.13/0.70 class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex)),
% 1.13/0.70 inference(cnf_transformation,[status(esa)],[f1195])).
% 1.13/0.70 fof(f4672,plain,(
% 1.13/0.70 class_Rings_Ozero__neq__one(tc_Complex_Ocomplex)),
% 1.13/0.70 inference(cnf_transformation,[status(esa)],[f1202])).
% 1.13/0.70 fof(f4676,plain,(
% 1.13/0.70 class_Rings_Osemiring__0(tc_Complex_Ocomplex)),
% 1.13/0.70 inference(cnf_transformation,[status(esa)],[f1206])).
% 1.13/0.70 fof(f4678,plain,(
% 1.13/0.70 class_Rings_Omult__zero(tc_Complex_Ocomplex)),
% 1.13/0.70 inference(cnf_transformation,[status(esa)],[f1208])).
% 1.13/0.70 fof(f4687,plain,(
% 1.13/0.70 class_Power_Opower(tc_Complex_Ocomplex)),
% 1.13/0.70 inference(cnf_transformation,[status(esa)],[f1217])).
% 1.13/0.70 fof(f4814,plain,(
% 1.13/0.70 (![B_x,B_y]: hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),B_x),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),B_x),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),B_y),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),B_y),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))))),
% 1.13/0.70 inference(pre_NNF_transformation,[status(esa)],[f1285])).
% 1.13/0.70 fof(f4815,plain,(
% 1.13/0.70 ![X0,X1]: (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))))),
% 1.13/0.70 inference(cnf_transformation,[status(esa)],[f4814])).
% 1.13/0.70 fof(f4969,plain,(
% 1.13/0.70 ![X0,X1]: (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))))),
% 1.13/0.70 inference(forward_demodulation,[status(thm)],[f2703,f4815])).
% 1.13/0.70 fof(f4970,plain,(
% 1.13/0.70 ![X0,X1]: (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),
% 1.13/0.70 inference(forward_demodulation,[status(thm)],[f2703,f4969])).
% 1.13/0.70 fof(f5033,plain,(
% 1.13/0.70 spl0_6 <=> class_Power_Opower(tc_Complex_Ocomplex)),
% 1.13/0.70 introduced(split_symbol_definition)).
% 1.13/0.70 fof(f5035,plain,(
% 1.13/0.70 ~class_Power_Opower(tc_Complex_Ocomplex)|spl0_6),
% 1.13/0.70 inference(component_clause,[status(thm)],[f5033])).
% 1.13/0.70 fof(f5036,plain,(
% 1.13/0.70 spl0_7 <=> hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X0),c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
% 1.13/0.70 introduced(split_symbol_definition)).
% 1.13/0.70 fof(f5037,plain,(
% 1.13/0.70 ![X0,X1]: (hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X0),c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))|~spl0_7)),
% 1.13/0.70 inference(component_clause,[status(thm)],[f5036])).
% 1.13/0.70 fof(f5039,plain,(
% 1.13/0.70 ![X0,X1]: (~class_Power_Opower(tc_Complex_Ocomplex)|hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X0),c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),
% 1.13/0.70 inference(paramodulation,[status(thm)],[f4970,f1293])).
% 1.13/0.70 fof(f5040,plain,(
% 1.13/0.70 ~spl0_6|spl0_7),
% 1.13/0.70 inference(split_clause,[status(thm)],[f5039,f5033,f5036])).
% 1.13/0.70 fof(f5043,plain,(
% 1.13/0.70 $false|spl0_6),
% 1.13/0.70 inference(forward_subsumption_resolution,[status(thm)],[f5035,f4687])).
% 1.13/0.70 fof(f5044,plain,(
% 1.13/0.70 spl0_6),
% 1.13/0.70 inference(contradiction_clause,[status(thm)],[f5043])).
% 1.13/0.70 fof(f5046,plain,(
% 1.13/0.70 ![X0,X1]: (hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X0),c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X1),c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))|~spl0_7)),
% 1.13/0.70 inference(paramodulation,[status(thm)],[f5037,f5037])).
% 1.13/0.70 fof(f6352,plain,(
% 1.13/0.70 spl0_56 <=> class_Rings_Osemiring__0(tc_Complex_Ocomplex)),
% 1.13/0.70 introduced(split_symbol_definition)).
% 1.13/0.70 fof(f6354,plain,(
% 1.13/0.70 ~class_Rings_Osemiring__0(tc_Complex_Ocomplex)|spl0_56),
% 1.13/0.70 inference(component_clause,[status(thm)],[f6352])).
% 1.13/0.70 fof(f6355,plain,(
% 1.13/0.70 spl0_57 <=> hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X0),c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),
% 1.13/0.70 introduced(split_symbol_definition)).
% 1.13/0.70 fof(f6356,plain,(
% 1.13/0.70 ![X0]: (hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X0),c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_57)),
% 1.13/0.70 inference(component_clause,[status(thm)],[f6355])).
% 1.13/0.70 fof(f6358,plain,(
% 1.13/0.70 ![X0]: (~class_Power_Opower(tc_Complex_Ocomplex)|~class_Rings_Osemiring__0(tc_Complex_Ocomplex)|hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X0),c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_7)),
% 1.13/0.70 inference(paramodulation,[status(thm)],[f5046,f1308])).
% 1.13/0.70 fof(f6359,plain,(
% 1.13/0.70 ~spl0_6|~spl0_56|spl0_57|~spl0_7),
% 1.13/0.70 inference(split_clause,[status(thm)],[f6358,f5033,f6352,f6355,f5036])).
% 1.13/0.70 fof(f6362,plain,(
% 1.13/0.70 $false|spl0_56),
% 1.13/0.70 inference(forward_subsumption_resolution,[status(thm)],[f6354,f4676])).
% 1.13/0.70 fof(f6363,plain,(
% 1.13/0.70 spl0_56),
% 1.13/0.70 inference(contradiction_clause,[status(thm)],[f6362])).
% 1.13/0.70 fof(f6468,plain,(
% 1.13/0.70 spl0_62 <=> class_Rings_Omult__zero(tc_Complex_Ocomplex)),
% 1.13/0.70 introduced(split_symbol_definition)).
% 1.13/0.70 fof(f6470,plain,(
% 1.13/0.70 ~class_Rings_Omult__zero(tc_Complex_Ocomplex)|spl0_62),
% 1.13/0.70 inference(component_clause,[status(thm)],[f6468])).
% 1.13/0.70 fof(f6471,plain,(
% 1.13/0.70 spl0_63 <=> class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex)),
% 1.13/0.70 introduced(split_symbol_definition)).
% 1.13/0.70 fof(f6473,plain,(
% 1.13/0.70 ~class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex)|spl0_63),
% 1.13/0.70 inference(component_clause,[status(thm)],[f6471])).
% 1.13/0.70 fof(f6474,plain,(
% 1.13/0.70 spl0_64 <=> class_Rings_Ozero__neq__one(tc_Complex_Ocomplex)),
% 1.13/0.70 introduced(split_symbol_definition)).
% 1.13/0.70 fof(f6476,plain,(
% 1.13/0.70 ~class_Rings_Ozero__neq__one(tc_Complex_Ocomplex)|spl0_64),
% 1.13/0.70 inference(component_clause,[status(thm)],[f6474])).
% 1.13/0.70 fof(f6495,plain,(
% 1.13/0.70 spl0_69 <=> ~hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X0),c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),
% 1.13/0.70 introduced(split_symbol_definition)).
% 1.13/0.70 fof(f6496,plain,(
% 1.13/0.70 ![X0]: (~hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X0),c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_69)),
% 1.13/0.70 inference(component_clause,[status(thm)],[f6495])).
% 1.13/0.70 fof(f6503,plain,(
% 1.13/0.70 spl0_71 <=> X1=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),
% 1.13/0.70 introduced(split_symbol_definition)).
% 1.13/0.70 fof(f6504,plain,(
% 1.13/0.70 ![X0]: (X0=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_71)),
% 1.13/0.70 inference(component_clause,[status(thm)],[f6503])).
% 1.13/0.70 fof(f6508,plain,(
% 1.13/0.70 ![X0,X1]: (~class_Power_Opower(tc_Complex_Ocomplex)|~class_Rings_Omult__zero(tc_Complex_Ocomplex)|~class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex)|~class_Rings_Ozero__neq__one(tc_Complex_Ocomplex)|~hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X0),c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|X1=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_7)),
% 1.13/0.70 inference(paramodulation,[status(thm)],[f5046,f1312])).
% 1.13/0.70 fof(f6509,plain,(
% 1.13/0.70 ~spl0_6|~spl0_62|~spl0_63|~spl0_64|spl0_69|spl0_71|~spl0_7),
% 1.13/0.71 inference(split_clause,[status(thm)],[f6508,f5033,f6468,f6471,f6474,f6495,f6503,f5036])).
% 1.13/0.71 fof(f6524,plain,(
% 1.13/0.71 $false|spl0_64),
% 1.13/0.71 inference(forward_subsumption_resolution,[status(thm)],[f6476,f4672])).
% 1.13/0.71 fof(f6525,plain,(
% 1.13/0.71 spl0_64),
% 1.13/0.71 inference(contradiction_clause,[status(thm)],[f6524])).
% 1.13/0.71 fof(f6526,plain,(
% 1.13/0.71 $false|spl0_63),
% 1.13/0.71 inference(forward_subsumption_resolution,[status(thm)],[f6473,f4665])).
% 1.13/0.71 fof(f6527,plain,(
% 1.13/0.71 spl0_63),
% 1.13/0.71 inference(contradiction_clause,[status(thm)],[f6526])).
% 1.13/0.71 fof(f6528,plain,(
% 1.13/0.71 $false|spl0_62),
% 1.13/0.71 inference(forward_subsumption_resolution,[status(thm)],[f6470,f4678])).
% 1.13/0.71 fof(f6529,plain,(
% 1.13/0.71 spl0_62),
% 1.13/0.71 inference(contradiction_clause,[status(thm)],[f6528])).
% 1.13/0.71 fof(f6535,plain,(
% 1.13/0.71 $false|~spl0_69|~spl0_57),
% 1.13/0.71 inference(forward_subsumption_resolution,[status(thm)],[f6356,f6496])).
% 1.13/0.71 fof(f6536,plain,(
% 1.13/0.71 ~spl0_69|~spl0_57),
% 1.13/0.71 inference(contradiction_clause,[status(thm)],[f6535])).
% 1.13/0.71 fof(f6599,plain,(
% 1.13/0.71 $false|~spl0_71),
% 1.13/0.71 inference(backward_subsumption_resolution,[status(thm)],[f1290,f6504])).
% 1.13/0.71 fof(f6600,plain,(
% 1.13/0.71 ~spl0_71),
% 1.13/0.71 inference(contradiction_clause,[status(thm)],[f6599])).
% 1.13/0.71 fof(f6601,plain,(
% 1.13/0.71 $false),
% 1.13/0.71 inference(sat_refutation,[status(thm)],[f5040,f5044,f6359,f6363,f6509,f6525,f6527,f6529,f6536,f6600])).
% 1.13/0.71 % SZS output end CNFRefutation for theBenchmark.p
% 1.13/0.74 % Elapsed time: 0.383187 seconds
% 1.13/0.74 % CPU time: 1.519473 seconds
% 1.13/0.74 % Memory used: 164.193 MB
%------------------------------------------------------------------------------