TSTP Solution File: SWW246+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWW246+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 20:49:54 EDT 2024
% Result : Theorem 3.86s 0.95s
% Output : CNFRefutation 4.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SWW246+1 : TPTP v8.1.2. Released v5.2.0.
% 0.03/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n028.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Apr 29 23:31:59 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.40 % Drodi V3.6.0
% 3.86/0.95 % Refutation found
% 3.86/0.95 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.86/0.95 % SZS output start CNFRefutation for theBenchmark
% 3.86/0.95 fof(f6,axiom,(
% 3.86/0.95 (! [V_x,T_a] :( class_Rings_Ocomm__semiring__0(T_a)=> hAPP(c_Polynomial_Opoly(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))),V_x) = c_Groups_Ozero__class_Ozero(T_a) ) )),
% 3.86/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.86/0.95 fof(f22,axiom,(
% 3.86/0.95 (! [V_f_2,T_c,T_b] :( c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(T_b,T_c,V_f_2)<=> (! [B_x,B_y] : hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y) )) )),
% 3.86/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.86/0.95 fof(f61,axiom,(
% 3.86/0.95 (! [V_x,T_a] :( class_Rings_Ocomm__semiring__1(T_a)=> hAPP(c_Polynomial_Opoly(T_a,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(T_a))),V_x) = c_Groups_Oone__class_Oone(T_a) ) )),
% 3.86/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.86/0.95 fof(f67,axiom,(
% 3.86/0.95 ( class_Rings_Oidom(t_a)=> ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(t_a,t_a,c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))) ) ),
% 3.86/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.86/0.95 fof(f69,axiom,(
% 3.86/0.95 (! [V_a_2,V_pa_2,T_b] :( class_Rings_Oidom(T_b)=> ( hAPP(c_Polynomial_Opoly(T_b,V_pa_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)<=> ( V_pa_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_b))| c_Polynomial_Oorder(T_b,V_a_2,V_pa_2) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) )),
% 3.86/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.86/0.95 fof(f1105,axiom,(
% 3.86/0.95 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ),
% 3.86/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.86/0.95 fof(f1106,axiom,(
% 3.86/0.95 class_Rings_Ocomm__semiring__0(tc_Nat_Onat) ),
% 3.86/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.86/0.95 fof(f1200,hypothesis,(
% 3.86/0.95 class_Rings_Oidom(t_a) ),
% 3.86/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.86/0.95 fof(f1218,plain,(
% 3.86/0.95 ![V_x,T_a]: (~class_Rings_Ocomm__semiring__0(T_a)|hAPP(c_Polynomial_Opoly(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))),V_x)=c_Groups_Ozero__class_Ozero(T_a))),
% 3.86/0.95 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 3.86/0.95 fof(f1219,plain,(
% 3.86/0.95 ![T_a]: (~class_Rings_Ocomm__semiring__0(T_a)|(![V_x]: hAPP(c_Polynomial_Opoly(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))),V_x)=c_Groups_Ozero__class_Ozero(T_a)))),
% 3.86/0.95 inference(miniscoping,[status(esa)],[f1218])).
% 3.86/0.95 fof(f1220,plain,(
% 3.86/0.95 ![X0,X1]: (~class_Rings_Ocomm__semiring__0(X0)|hAPP(c_Polynomial_Opoly(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))),X1)=c_Groups_Ozero__class_Ozero(X0))),
% 3.86/0.95 inference(cnf_transformation,[status(esa)],[f1219])).
% 3.86/0.95 fof(f1270,plain,(
% 3.86/0.95 ![V_f_2,T_c,T_b]: ((~c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(T_b,T_c,V_f_2)|(![B_x,B_y]: hAPP(V_f_2,B_x)=hAPP(V_f_2,B_y)))&(c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(T_b,T_c,V_f_2)|(?[B_x,B_y]: ~hAPP(V_f_2,B_x)=hAPP(V_f_2,B_y))))),
% 3.86/0.95 inference(NNF_transformation,[status(esa)],[f22])).
% 3.86/0.95 fof(f1271,plain,(
% 3.86/0.95 (![V_f_2]: ((![T_c,T_b]: ~c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(T_b,T_c,V_f_2))|(![B_x,B_y]: hAPP(V_f_2,B_x)=hAPP(V_f_2,B_y))))&(![V_f_2]: ((![T_c,T_b]: c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(T_b,T_c,V_f_2))|(?[B_x,B_y]: ~hAPP(V_f_2,B_x)=hAPP(V_f_2,B_y))))),
% 3.86/0.95 inference(miniscoping,[status(esa)],[f1270])).
% 3.86/0.95 fof(f1272,plain,(
% 3.86/0.95 (![V_f_2]: ((![T_c,T_b]: ~c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(T_b,T_c,V_f_2))|(![B_x,B_y]: hAPP(V_f_2,B_x)=hAPP(V_f_2,B_y))))&(![V_f_2]: ((![T_c,T_b]: c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(T_b,T_c,V_f_2))|~hAPP(V_f_2,sk0_1(V_f_2))=hAPP(V_f_2,sk0_2(V_f_2))))),
% 3.86/0.95 inference(skolemization,[status(esa)],[f1271])).
% 3.86/0.95 fof(f1274,plain,(
% 3.86/0.95 ![X0,X1,X2]: (c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X0,X1,X2)|~hAPP(X2,sk0_1(X2))=hAPP(X2,sk0_2(X2)))),
% 3.86/0.95 inference(cnf_transformation,[status(esa)],[f1272])).
% 3.86/0.95 fof(f1402,plain,(
% 3.86/0.95 ![V_x,T_a]: (~class_Rings_Ocomm__semiring__1(T_a)|hAPP(c_Polynomial_Opoly(T_a,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(T_a))),V_x)=c_Groups_Oone__class_Oone(T_a))),
% 3.86/0.95 inference(pre_NNF_transformation,[status(esa)],[f61])).
% 4.35/0.96 fof(f1403,plain,(
% 4.35/0.96 ![T_a]: (~class_Rings_Ocomm__semiring__1(T_a)|(![V_x]: hAPP(c_Polynomial_Opoly(T_a,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(T_a))),V_x)=c_Groups_Oone__class_Oone(T_a)))),
% 4.35/0.96 inference(miniscoping,[status(esa)],[f1402])).
% 4.35/0.96 fof(f1404,plain,(
% 4.35/0.96 ![X0,X1]: (~class_Rings_Ocomm__semiring__1(X0)|hAPP(c_Polynomial_Opoly(X0,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X0))),X1)=c_Groups_Oone__class_Oone(X0))),
% 4.35/0.96 inference(cnf_transformation,[status(esa)],[f1403])).
% 4.35/0.96 fof(f1422,plain,(
% 4.35/0.96 ~class_Rings_Oidom(t_a)|~c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(t_a,t_a,c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))),
% 4.35/0.96 inference(pre_NNF_transformation,[status(esa)],[f67])).
% 4.35/0.96 fof(f1423,plain,(
% 4.35/0.96 ~class_Rings_Oidom(t_a)|~c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(t_a,t_a,c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))),
% 4.35/0.96 inference(cnf_transformation,[status(esa)],[f1422])).
% 4.35/0.96 fof(f1430,plain,(
% 4.35/0.96 ![V_a_2,V_pa_2,T_b]: (~class_Rings_Oidom(T_b)|(hAPP(c_Polynomial_Opoly(T_b,V_pa_2),V_a_2)=c_Groups_Ozero__class_Ozero(T_b)<=>(V_pa_2=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_b))|~c_Polynomial_Oorder(T_b,V_a_2,V_pa_2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
% 4.35/0.96 inference(pre_NNF_transformation,[status(esa)],[f69])).
% 4.35/0.96 fof(f1431,plain,(
% 4.35/0.96 ![V_a_2,V_pa_2,T_b]: (~class_Rings_Oidom(T_b)|((~hAPP(c_Polynomial_Opoly(T_b,V_pa_2),V_a_2)=c_Groups_Ozero__class_Ozero(T_b)|(V_pa_2=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_b))|~c_Polynomial_Oorder(T_b,V_a_2,V_pa_2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))&(hAPP(c_Polynomial_Opoly(T_b,V_pa_2),V_a_2)=c_Groups_Ozero__class_Ozero(T_b)|(~V_pa_2=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_b))&c_Polynomial_Oorder(T_b,V_a_2,V_pa_2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))),
% 4.35/0.96 inference(NNF_transformation,[status(esa)],[f1430])).
% 4.35/0.96 fof(f1432,plain,(
% 4.35/0.96 ![T_b]: (~class_Rings_Oidom(T_b)|((![V_a_2,V_pa_2]: (~hAPP(c_Polynomial_Opoly(T_b,V_pa_2),V_a_2)=c_Groups_Ozero__class_Ozero(T_b)|(V_pa_2=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_b))|~c_Polynomial_Oorder(T_b,V_a_2,V_pa_2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))&(![V_a_2,V_pa_2]: (hAPP(c_Polynomial_Opoly(T_b,V_pa_2),V_a_2)=c_Groups_Ozero__class_Ozero(T_b)|(~V_pa_2=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_b))&c_Polynomial_Oorder(T_b,V_a_2,V_pa_2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))))),
% 4.35/0.96 inference(miniscoping,[status(esa)],[f1431])).
% 4.35/0.96 fof(f1434,plain,(
% 4.35/0.96 ![X0,X1,X2]: (~class_Rings_Oidom(X0)|hAPP(c_Polynomial_Opoly(X0,X1),X2)=c_Groups_Ozero__class_Ozero(X0)|~X1=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))),
% 4.35/0.96 inference(cnf_transformation,[status(esa)],[f1432])).
% 4.35/0.96 fof(f4497,plain,(
% 4.35/0.96 class_Rings_Ocomm__semiring__1(tc_Nat_Onat)),
% 4.35/0.96 inference(cnf_transformation,[status(esa)],[f1105])).
% 4.35/0.96 fof(f4498,plain,(
% 4.35/0.96 class_Rings_Ocomm__semiring__0(tc_Nat_Onat)),
% 4.35/0.96 inference(cnf_transformation,[status(esa)],[f1106])).
% 4.35/0.96 fof(f4648,plain,(
% 4.35/0.96 class_Rings_Oidom(t_a)),
% 4.35/0.96 inference(cnf_transformation,[status(esa)],[f1200])).
% 4.35/0.96 fof(f4679,plain,(
% 4.35/0.96 spl0_0 <=> class_Rings_Oidom(t_a)),
% 4.35/0.96 introduced(split_symbol_definition)).
% 4.35/0.96 fof(f4681,plain,(
% 4.35/0.96 ~class_Rings_Oidom(t_a)|spl0_0),
% 4.35/0.96 inference(component_clause,[status(thm)],[f4679])).
% 4.35/0.96 fof(f4686,plain,(
% 4.35/0.96 spl0_2 <=> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(t_a,t_a,c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))),
% 4.35/0.96 introduced(split_symbol_definition)).
% 4.35/0.96 fof(f4688,plain,(
% 4.35/0.96 ~c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(t_a,t_a,c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))|spl0_2),
% 4.35/0.96 inference(component_clause,[status(thm)],[f4686])).
% 4.35/0.96 fof(f4689,plain,(
% 4.35/0.96 ~spl0_0|~spl0_2),
% 4.35/0.96 inference(split_clause,[status(thm)],[f1423,f4679,f4686])).
% 4.35/0.96 fof(f4700,plain,(
% 4.35/0.96 ![X0,X1]: (~class_Rings_Oidom(X0)|hAPP(c_Polynomial_Opoly(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))),X1)=c_Groups_Ozero__class_Ozero(X0))),
% 4.35/0.96 inference(destructive_equality_resolution,[status(esa)],[f1434])).
% 4.35/0.96 fof(f4867,plain,(
% 4.35/0.96 ![X0]: (hAPP(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),X0)=c_Groups_Ozero__class_Ozero(t_a))),
% 4.35/0.96 inference(resolution,[status(thm)],[f4700,f4648])).
% 4.35/0.96 fof(f6377,plain,(
% 4.35/0.96 ![X0]: (hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Nat_Onat))),X0)=c_Groups_Oone__class_Oone(tc_Nat_Onat))),
% 4.35/0.96 inference(resolution,[status(thm)],[f4497,f1404])).
% 4.35/0.96 fof(f6379,plain,(
% 4.35/0.96 ![X0]: (hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Nat_Onat))),X0)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
% 4.35/0.96 inference(resolution,[status(thm)],[f4498,f1220])).
% 4.35/0.96 fof(f7288,plain,(
% 4.35/0.96 $false|spl0_0),
% 4.35/0.96 inference(forward_subsumption_resolution,[status(thm)],[f4681,f4648])).
% 4.35/0.96 fof(f7289,plain,(
% 4.35/0.96 spl0_0),
% 4.35/0.96 inference(contradiction_clause,[status(thm)],[f7288])).
% 4.35/0.96 fof(f9067,plain,(
% 4.35/0.96 spl0_92 <=> hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Nat_Onat))),sk0_1(c_Polynomial_Opoly(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Nat_Onat)))))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
% 4.35/0.96 introduced(split_symbol_definition)).
% 4.35/0.96 fof(f9069,plain,(
% 4.35/0.96 ~hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Nat_Onat))),sk0_1(c_Polynomial_Opoly(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Nat_Onat)))))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|spl0_92),
% 4.35/0.96 inference(component_clause,[status(thm)],[f9067])).
% 4.35/0.96 fof(f9075,plain,(
% 4.35/0.96 spl0_94 <=> hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Nat_Onat))),sk0_1(c_Polynomial_Opoly(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Nat_Onat)))))=c_Groups_Oone__class_Oone(tc_Nat_Onat)),
% 4.35/0.96 introduced(split_symbol_definition)).
% 4.35/0.96 fof(f9077,plain,(
% 4.35/0.96 ~hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Nat_Onat))),sk0_1(c_Polynomial_Opoly(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Nat_Onat)))))=c_Groups_Oone__class_Oone(tc_Nat_Onat)|spl0_94),
% 4.35/0.96 inference(component_clause,[status(thm)],[f9075])).
% 4.35/0.96 fof(f9080,plain,(
% 4.35/0.96 spl0_95 <=> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X0,X1,c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))),
% 4.35/0.96 introduced(split_symbol_definition)).
% 4.35/0.96 fof(f9081,plain,(
% 4.35/0.96 ![X0,X1]: (c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X0,X1,c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))|~spl0_95)),
% 4.35/0.96 inference(component_clause,[status(thm)],[f9080])).
% 4.35/0.96 fof(f9083,plain,(
% 4.35/0.96 spl0_96 <=> hAPP(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),sk0_1(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))))=c_Groups_Ozero__class_Ozero(t_a)),
% 4.35/0.96 introduced(split_symbol_definition)).
% 4.35/0.96 fof(f9085,plain,(
% 4.35/0.96 ~hAPP(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),sk0_1(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))))=c_Groups_Ozero__class_Ozero(t_a)|spl0_96),
% 4.35/0.96 inference(component_clause,[status(thm)],[f9083])).
% 4.35/0.96 fof(f9086,plain,(
% 4.35/0.96 ![X0,X1]: (c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X0,X1,c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))|~hAPP(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),sk0_1(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))))=c_Groups_Ozero__class_Ozero(t_a))),
% 4.35/0.96 inference(paramodulation,[status(thm)],[f4867,f1274])).
% 4.35/0.96 fof(f9087,plain,(
% 4.35/0.96 spl0_95|~spl0_96),
% 4.35/0.96 inference(split_clause,[status(thm)],[f9086,f9080,f9083])).
% 4.35/0.96 fof(f9194,plain,(
% 4.35/0.96 ~c_Groups_Ozero__class_Ozero(t_a)=c_Groups_Ozero__class_Ozero(t_a)|spl0_96),
% 4.35/0.96 inference(forward_demodulation,[status(thm)],[f4867,f9085])).
% 4.35/0.96 fof(f9195,plain,(
% 4.35/0.96 $false|spl0_96),
% 4.35/0.96 inference(trivial_equality_resolution,[status(esa)],[f9194])).
% 4.35/0.96 fof(f9196,plain,(
% 4.35/0.96 spl0_96),
% 4.35/0.96 inference(contradiction_clause,[status(thm)],[f9195])).
% 4.35/0.96 fof(f9197,plain,(
% 4.35/0.96 ~c_Groups_Oone__class_Oone(tc_Nat_Onat)=c_Groups_Oone__class_Oone(tc_Nat_Onat)|spl0_94),
% 4.35/0.98 inference(forward_demodulation,[status(thm)],[f6377,f9077])).
% 4.35/0.98 fof(f9198,plain,(
% 4.35/0.98 $false|spl0_94),
% 4.35/0.98 inference(trivial_equality_resolution,[status(esa)],[f9197])).
% 4.35/0.98 fof(f9199,plain,(
% 4.35/0.98 spl0_94),
% 4.35/0.98 inference(contradiction_clause,[status(thm)],[f9198])).
% 4.35/0.98 fof(f9200,plain,(
% 4.35/0.98 ~c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|spl0_92),
% 4.35/0.98 inference(forward_demodulation,[status(thm)],[f6379,f9069])).
% 4.35/0.98 fof(f9201,plain,(
% 4.35/0.98 $false|spl0_92),
% 4.35/0.98 inference(trivial_equality_resolution,[status(esa)],[f9200])).
% 4.35/0.98 fof(f9202,plain,(
% 4.35/0.98 spl0_92),
% 4.35/0.98 inference(contradiction_clause,[status(thm)],[f9201])).
% 4.35/0.98 fof(f9211,plain,(
% 4.35/0.98 $false|~spl0_95|spl0_2),
% 4.35/0.98 inference(backward_subsumption_resolution,[status(thm)],[f4688,f9081])).
% 4.35/0.98 fof(f9212,plain,(
% 4.35/0.98 ~spl0_95|spl0_2),
% 4.35/0.98 inference(contradiction_clause,[status(thm)],[f9211])).
% 4.35/0.98 fof(f9213,plain,(
% 4.35/0.98 $false),
% 4.35/0.98 inference(sat_refutation,[status(thm)],[f4689,f7289,f9087,f9196,f9199,f9202,f9212])).
% 4.35/0.98 % SZS output end CNFRefutation for theBenchmark.p
% 4.35/0.99 % Elapsed time: 0.673210 seconds
% 4.35/0.99 % CPU time: 4.526874 seconds
% 4.35/0.99 % Total memory used: 224.220 MB
% 4.35/0.99 % Net memory used: 222.963 MB
%------------------------------------------------------------------------------