TSTP Solution File: SWW249+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWW249+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 : Tue Apr 30 20:49:54 EDT 2024
% Result : Theorem 64.07s 8.57s
% Output : CNFRefutation 65.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.12 % Problem : SWW249+1 : TPTP v8.1.2. Released v5.2.0.
% 0.13/0.13 % 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 : Mon Apr 29 23:31:02 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.46 % Drodi V3.6.0
% 64.07/8.57 % Refutation found
% 64.07/8.57 % SZS status Theorem for theBenchmark: Theorem is valid
% 64.07/8.57 % SZS output start CNFRefutation for theBenchmark
% 64.07/8.57 fof(f15,axiom,(
% 64.07/8.57 (! [V_n_2,V_k_2,V_m_2] :( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_k_2)<=> ( V_m_2 = V_n_2| V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) )),
% 64.07/8.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.07/8.57 fof(f25,axiom,(
% 64.07/8.57 (! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n )),
% 64.07/8.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.07/8.57 fof(f51,axiom,(
% 64.07/8.57 (! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n )),
% 64.07/8.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.07/8.57 fof(f71,axiom,(
% 64.07/8.57 (! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )),
% 64.07/8.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.07/8.57 fof(f135,axiom,(
% 64.07/8.57 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 64.07/8.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.07/8.57 fof(f1201,axiom,(
% 64.07/8.57 (! [V_R_2,V_Q_2,V_P_2,T_d,T_b,T_c] : hAPP(hAPP(hAPP(c_COMBB(T_c,T_b,T_d),V_P_2),V_Q_2),V_R_2) = hAPP(V_P_2,hAPP(V_Q_2,V_R_2)) )),
% 64.07/8.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.07/8.57 fof(f1202,axiom,(
% 64.07/8.57 (! [V_R_2,V_Q_2,V_P_2,T_b,T_d,T_c] : hAPP(hAPP(c_COMBC(T_c,T_d,T_b,V_P_2),V_Q_2),V_R_2) = hAPP(hAPP(V_P_2,V_R_2),V_Q_2) )),
% 64.07/8.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.07/8.57 fof(f1203,axiom,(
% 64.07/8.57 (! [V_R_2,V_Q_2,V_P_2,T_b,T_d,T_c] : hAPP(hAPP(hAPP(c_COMBS(T_c,T_d,T_b),V_P_2),V_Q_2),V_R_2) = hAPP(hAPP(V_P_2,V_R_2),hAPP(V_Q_2,V_R_2)) )),
% 64.07/8.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.07/8.57 fof(f1255,plain,(
% 64.07/8.57 ![V_n_2,V_k_2,V_m_2]: ((~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_k_2)|(V_m_2=V_n_2|V_k_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))&(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_k_2)|(~V_m_2=V_n_2&~V_k_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
% 64.07/8.57 inference(NNF_transformation,[status(esa)],[f15])).
% 64.07/8.57 fof(f1256,plain,(
% 64.07/8.57 (![V_n_2,V_k_2,V_m_2]: (~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_k_2)|(V_m_2=V_n_2|V_k_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))&(![V_n_2,V_k_2,V_m_2]: (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_k_2)|(~V_m_2=V_n_2&~V_k_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
% 64.07/8.57 inference(miniscoping,[status(esa)],[f1255])).
% 64.07/8.57 fof(f1257,plain,(
% 64.07/8.57 ![X0,X1,X2]: (~hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)|X0=X2|X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
% 64.07/8.57 inference(cnf_transformation,[status(esa)],[f1256])).
% 64.07/8.57 fof(f1286,plain,(
% 64.07/8.57 ![X0]: (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),c_Groups_Oone__class_Oone(tc_Nat_Onat))=X0)),
% 64.07/8.57 inference(cnf_transformation,[status(esa)],[f25])).
% 64.07/8.57 fof(f1373,plain,(
% 64.07/8.57 ![X0]: (~hAPP(c_Nat_OSuc,X0)=X0)),
% 64.07/8.57 inference(cnf_transformation,[status(esa)],[f51])).
% 64.07/8.57 fof(f1429,plain,(
% 64.07/8.57 ![X0]: (~hAPP(c_Nat_OSuc,X0)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
% 64.07/8.57 inference(cnf_transformation,[status(esa)],[f71])).
% 64.07/8.57 fof(f1617,plain,(
% 64.07/8.57 c_Groups_Oone__class_Oone(tc_Nat_Onat)=hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
% 64.07/8.57 inference(cnf_transformation,[status(esa)],[f135])).
% 64.07/8.57 fof(f4766,plain,(
% 64.07/8.57 ![X0,X1,X2,X3,X4,X5]: (hAPP(hAPP(hAPP(c_COMBB(X0,X1,X2),X3),X4),X5)=hAPP(X3,hAPP(X4,X5)))),
% 64.07/8.57 inference(cnf_transformation,[status(esa)],[f1201])).
% 64.07/8.57 fof(f4767,plain,(
% 64.07/8.57 ![X0,X1,X2,X3,X4,X5]: (hAPP(hAPP(c_COMBC(X0,X1,X2,X3),X4),X5)=hAPP(hAPP(X3,X5),X4))),
% 64.07/8.57 inference(cnf_transformation,[status(esa)],[f1202])).
% 64.07/8.57 fof(f4768,plain,(
% 64.07/8.57 ![X0,X1,X2,X3,X4,X5]: (hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),X3),X4),X5)=hAPP(hAPP(X3,X5),hAPP(X4,X5)))),
% 65.28/8.72 inference(cnf_transformation,[status(esa)],[f1203])).
% 65.28/8.72 fof(f4998,plain,(
% 65.28/8.72 ~c_Groups_Oone__class_Oone(tc_Nat_Onat)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
% 65.28/8.72 inference(paramodulation,[status(thm)],[f1617,f1429])).
% 65.28/8.72 fof(f5010,plain,(
% 65.28/8.72 spl0_18 <=> c_Groups_Oone__class_Oone(tc_Nat_Onat)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
% 65.28/8.72 introduced(split_symbol_definition)).
% 65.28/8.72 fof(f5011,plain,(
% 65.28/8.72 c_Groups_Oone__class_Oone(tc_Nat_Onat)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~spl0_18),
% 65.28/8.72 inference(component_clause,[status(thm)],[f5010])).
% 65.28/8.72 fof(f5018,plain,(
% 65.28/8.72 spl0_19 <=> ~X0=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))|X0=X1),
% 65.28/8.72 introduced(split_symbol_definition)).
% 65.28/8.72 fof(f5019,plain,(
% 65.28/8.72 ![X0,X1]: (~X0=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))|X0=X1|~spl0_19)),
% 65.28/8.72 inference(component_clause,[status(thm)],[f5018])).
% 65.28/8.72 fof(f5021,plain,(
% 65.28/8.72 ![X0,X1]: (~X0=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))|X0=X1|c_Groups_Oone__class_Oone(tc_Nat_Onat)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
% 65.28/8.72 inference(paramodulation,[status(thm)],[f1286,f1257])).
% 65.28/8.72 fof(f5022,plain,(
% 65.28/8.72 spl0_19|spl0_18),
% 65.28/8.72 inference(split_clause,[status(thm)],[f5021,f5018,f5010])).
% 65.28/8.72 fof(f5034,plain,(
% 65.28/8.72 $false|~spl0_18),
% 65.28/8.72 inference(forward_subsumption_resolution,[status(thm)],[f5011,f4998])).
% 65.28/8.72 fof(f5035,plain,(
% 65.28/8.72 ~spl0_18),
% 65.28/8.72 inference(contradiction_clause,[status(thm)],[f5034])).
% 65.28/8.72 fof(f7025,plain,(
% 65.28/8.72 ![X0,X1,X2,X3]: (hAPP(hAPP(c_COMBC(X0,X1,X2,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3)=X3|~spl0_19)),
% 65.28/8.72 inference(resolution,[status(thm)],[f4767,f5019])).
% 65.28/8.72 fof(f7484,plain,(
% 65.28/8.72 ![X0,X1,X2,X3,X4,X5,X6,X7]: (hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),X3),hAPP(c_COMBC(X4,X5,X6,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X7)=hAPP(hAPP(X3,X7),X7)|~spl0_19)),
% 65.28/8.72 inference(paramodulation,[status(thm)],[f7025,f4768])).
% 65.28/8.72 fof(f9656,plain,(
% 65.28/8.72 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10]: (hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),hAPP(c_COMBB(X3,X4,X5),X6)),hAPP(c_COMBC(X7,X8,X9,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X10)=hAPP(X6,hAPP(X10,X10))|~spl0_19)),
% 65.28/8.72 inference(paramodulation,[status(thm)],[f4766,f7484])).
% 65.28/8.72 fof(f13128,plain,(
% 65.28/8.72 $false|~spl0_19),
% 65.28/8.72 inference(resolution,[status(thm)],[f9656,f1373])).
% 65.28/8.72 fof(f13129,plain,(
% 65.28/8.72 ~spl0_19),
% 65.28/8.72 inference(contradiction_clause,[status(thm)],[f13128])).
% 65.28/8.72 fof(f13130,plain,(
% 65.28/8.72 $false),
% 65.28/8.72 inference(sat_refutation,[status(thm)],[f5022,f5035,f13129])).
% 65.28/8.72 % SZS output end CNFRefutation for theBenchmark.p
% 66.18/9.06 % Elapsed time: 8.691977 seconds
% 66.18/9.06 % CPU time: 65.511538 seconds
% 66.18/9.06 % Total memory used: 641.026 MB
% 66.18/9.06 % Net memory used: 627.476 MB
%------------------------------------------------------------------------------