TSTP Solution File: SWV682-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV682-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.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 7.83s 1.49s
% Output : CNFRefutation 8.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SWV682-1 : TPTP v8.1.2. Released v4.1.0.
% 0.09/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n013.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue May 30 11:38:05 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.11/0.39 % Drodi V3.5.1
% 7.83/1.49 % Refutation found
% 7.83/1.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 7.83/1.49 % SZS output start CNFRefutation for theBenchmark
% 7.83/1.49 fof(f37,axiom,(
% 7.83/1.49 c_Fact_Ofact__class_Ofact(c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Oone__class_Oone(tc_nat) ),
% 7.83/1.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.83/1.49 fof(f105,axiom,(
% 7.83/1.49 (![T_a,V_a]: (( ~ class_OrderedGroup_Omonoid__add(T_a)| hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ))),
% 7.83/1.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.83/1.49 fof(f250,axiom,(
% 7.83/1.49 (![V_n]: (c_Fact_Ofact__class_Ofact(V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ))),
% 7.83/1.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.83/1.49 fof(f272,axiom,(
% 7.83/1.49 (![V_n]: (hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),V_n) = V_n ))),
% 7.83/1.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.83/1.49 fof(f745,axiom,(
% 7.83/1.49 (![V_n]: (V_n != hAPP(c_Suc,V_n) ))),
% 7.83/1.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.83/1.49 fof(f824,axiom,(
% 7.83/1.49 (![V_k,V_m,V_n]: (( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_m) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_n)| V_m = V_n| V_k = c_HOL_Ozero__class_Ozero(tc_nat) ) ))),
% 7.83/1.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.83/1.49 fof(f870,axiom,(
% 7.83/1.49 (![V_m,V_n]: (hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_n) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_n),V_m) ))),
% 7.83/1.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.83/1.49 fof(f873,axiom,(
% 7.83/1.49 (![T_b,T_a,T_c,V_P,V_Q,V_R]: (hAPP(hAPP(hAPP(c_COMBB(T_b,T_a,T_c),V_P),V_Q),V_R) = hAPP(V_P,hAPP(V_Q,V_R)) ))),
% 7.83/1.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.83/1.49 fof(f874,axiom,(
% 7.83/1.49 (![V_P,T_b,T_c,T_a,V_Q,V_R]: (hAPP(hAPP(c_COMBC(V_P,T_b,T_c,T_a),V_Q),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ))),
% 7.83/1.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.83/1.49 fof(f875,axiom,(
% 7.83/1.49 (![T_b,T_c,T_a,V_P,V_Q,V_R]: (hAPP(hAPP(hAPP(c_COMBS(T_b,T_c,T_a),V_P),V_Q),V_R) = hAPP(hAPP(V_P,V_R),hAPP(V_Q,V_R)) ))),
% 7.83/1.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.83/1.49 fof(f915,axiom,(
% 7.83/1.49 class_OrderedGroup_Omonoid__add(tc_nat) ),
% 7.83/1.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.83/1.49 fof(f1022,plain,(
% 7.83/1.49 c_Fact_Ofact__class_Ofact(c_HOL_Oone__class_Oone(tc_nat),tc_nat)=c_HOL_Oone__class_Oone(tc_nat)),
% 7.83/1.49 inference(cnf_transformation,[status(esa)],[f37])).
% 7.83/1.49 fof(f1127,plain,(
% 7.83/1.49 ![T_a]: (~class_OrderedGroup_Omonoid__add(T_a)|(![V_a]: hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)=V_a))),
% 7.83/1.49 inference(miniscoping,[status(esa)],[f105])).
% 7.83/1.49 fof(f1128,plain,(
% 7.83/1.49 ![X0,X1]: (~class_OrderedGroup_Omonoid__add(X0)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1)=X1)),
% 7.83/1.49 inference(cnf_transformation,[status(esa)],[f1127])).
% 7.83/1.49 fof(f1377,plain,(
% 7.83/1.49 ![X0]: (~c_Fact_Ofact__class_Ofact(X0,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))),
% 7.83/1.49 inference(cnf_transformation,[status(esa)],[f250])).
% 7.83/1.49 fof(f1415,plain,(
% 7.83/1.49 ![X0]: (hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),X0)=X0)),
% 7.83/1.49 inference(cnf_transformation,[status(esa)],[f272])).
% 7.83/1.49 fof(f2211,plain,(
% 7.83/1.49 ![X0]: (~X0=hAPP(c_Suc,X0))),
% 7.83/1.49 inference(cnf_transformation,[status(esa)],[f745])).
% 7.83/1.49 fof(f2334,plain,(
% 7.83/1.49 ![V_k]: ((![V_m,V_n]: (~hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_m)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_n)|V_m=V_n))|V_k=c_HOL_Ozero__class_Ozero(tc_nat))),
% 7.83/1.49 inference(miniscoping,[status(esa)],[f824])).
% 7.83/1.49 fof(f2335,plain,(
% 7.83/1.49 ![X0,X1,X2]: (~hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)|X1=X2|X0=c_HOL_Ozero__class_Ozero(tc_nat))),
% 7.83/1.49 inference(cnf_transformation,[status(esa)],[f2334])).
% 7.83/1.49 fof(f2421,plain,(
% 7.83/1.49 ![X0,X1]: (hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0))),
% 7.83/1.49 inference(cnf_transformation,[status(esa)],[f870])).
% 7.83/1.49 fof(f2426,plain,(
% 7.83/1.49 ![X0,X1,X2,X3,X4,X5]: (hAPP(hAPP(hAPP(c_COMBB(X0,X1,X2),X3),X4),X5)=hAPP(X3,hAPP(X4,X5)))),
% 7.83/1.49 inference(cnf_transformation,[status(esa)],[f873])).
% 7.83/1.49 fof(f2427,plain,(
% 8.02/1.52 ![X0,X1,X2,X3,X4,X5]: (hAPP(hAPP(c_COMBC(X0,X1,X2,X3),X4),X5)=hAPP(hAPP(X0,X5),X4))),
% 8.02/1.52 inference(cnf_transformation,[status(esa)],[f874])).
% 8.02/1.52 fof(f2428,plain,(
% 8.02/1.52 ![X0,X1,X2,X3,X4,X5]: (hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),X3),X4),X5)=hAPP(hAPP(X3,X5),hAPP(X4,X5)))),
% 8.02/1.52 inference(cnf_transformation,[status(esa)],[f875])).
% 8.02/1.52 fof(f2478,plain,(
% 8.02/1.52 class_OrderedGroup_Omonoid__add(tc_nat)),
% 8.02/1.52 inference(cnf_transformation,[status(esa)],[f915])).
% 8.02/1.52 fof(f2624,plain,(
% 8.02/1.52 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),hAPP(c_COMBB(X3,X4,X5),X6)),X7),X8)=hAPP(X6,hAPP(X8,hAPP(X7,X8))))),
% 8.02/1.52 inference(paramodulation,[status(thm)],[f2426,f2428])).
% 8.02/1.52 fof(f3258,plain,(
% 8.02/1.52 ![X0,X1,X2]: (~hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)|X0=X2|X1=c_HOL_Ozero__class_Ozero(tc_nat))),
% 8.02/1.52 inference(paramodulation,[status(thm)],[f2421,f2335])).
% 8.02/1.52 fof(f6059,plain,(
% 8.02/1.52 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~hAPP(X0,hAPP(X1,X0))=hAPP(hAPP(hAPP(c_COMBS(X2,X3,X4),hAPP(c_COMBB(X5,X6,X7),c_Suc)),X1),X0))),
% 8.02/1.52 inference(paramodulation,[status(thm)],[f2624,f2211])).
% 8.02/1.52 fof(f7075,plain,(
% 8.02/1.52 ~c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)),
% 8.02/1.52 inference(paramodulation,[status(thm)],[f1022,f1377])).
% 8.02/1.52 fof(f9020,plain,(
% 8.02/1.52 spl0_253 <=> c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)),
% 8.02/1.52 introduced(split_symbol_definition)).
% 8.02/1.52 fof(f9021,plain,(
% 8.02/1.52 c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_253),
% 8.02/1.52 inference(component_clause,[status(thm)],[f9020])).
% 8.02/1.52 fof(f9052,plain,(
% 8.02/1.52 spl0_256 <=> ~hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat))=X1|X0=X1),
% 8.02/1.52 introduced(split_symbol_definition)).
% 8.02/1.52 fof(f9053,plain,(
% 8.02/1.52 ![X0,X1]: (~hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat))=X1|X0=X1|~spl0_256)),
% 8.02/1.52 inference(component_clause,[status(thm)],[f9052])).
% 8.02/1.52 fof(f9055,plain,(
% 8.02/1.52 ![X0,X1]: (~hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat))=X1|X0=X1|c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))),
% 8.02/1.52 inference(paramodulation,[status(thm)],[f1415,f3258])).
% 8.02/1.52 fof(f9056,plain,(
% 8.02/1.52 spl0_256|spl0_253),
% 8.02/1.52 inference(split_clause,[status(thm)],[f9055,f9052,f9020])).
% 8.02/1.52 fof(f9105,plain,(
% 8.02/1.52 $false|~spl0_253),
% 8.02/1.52 inference(forward_subsumption_resolution,[status(thm)],[f9021,f7075])).
% 8.02/1.52 fof(f9106,plain,(
% 8.02/1.52 ~spl0_253),
% 8.02/1.52 inference(contradiction_clause,[status(thm)],[f9105])).
% 8.02/1.52 fof(f9306,plain,(
% 8.02/1.52 ![X0,X1,X2,X3]: (X0=hAPP(hAPP(c_COMBC(c_HOL_Otimes__class_Otimes(tc_nat),X1,X2,X3),c_HOL_Oone__class_Oone(tc_nat)),X0)|~spl0_256)),
% 8.02/1.52 inference(resolution,[status(thm)],[f9053,f2427])).
% 8.02/1.52 fof(f9415,plain,(
% 8.02/1.52 ![X0,X1,X2,X3,X4,X5,X6,X7]: (hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),X3),hAPP(c_COMBC(c_HOL_Otimes__class_Otimes(tc_nat),X4,X5,X6),c_HOL_Oone__class_Oone(tc_nat))),X7)=hAPP(hAPP(X3,X7),X7)|~spl0_256)),
% 8.02/1.52 inference(paramodulation,[status(thm)],[f9306,f2428])).
% 8.02/1.52 fof(f9919,plain,(
% 8.02/1.52 ![X0]: (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X0)=X0)),
% 8.02/1.52 inference(resolution,[status(thm)],[f1128,f2478])).
% 8.02/1.52 fof(f12160,plain,(
% 8.02/1.52 ![X0,X1,X2,X3,X4]: (~hAPP(X0,hAPP(X1,X0))=hAPP(hAPP(hAPP(c_COMBB(X2,X3,X4),c_Suc),X0),hAPP(X1,X0)))),
% 8.02/1.52 inference(paramodulation,[status(thm)],[f2428,f6059])).
% 8.02/1.52 fof(f12178,plain,(
% 8.02/1.52 ![X0,X1,X2,X3]: (~hAPP(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X0))=hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),c_Suc),X0),X0))),
% 8.02/1.52 inference(paramodulation,[status(thm)],[f9919,f12160])).
% 8.02/1.52 fof(f12179,plain,(
% 8.02/1.52 ![X0,X1,X2,X3]: (~hAPP(X0,X0)=hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),c_Suc),X0),X0))),
% 8.02/1.52 inference(forward_demodulation,[status(thm)],[f9919,f12178])).
% 8.02/1.52 fof(f12274,plain,(
% 8.02/1.52 $false|~spl0_256),
% 8.02/1.52 inference(resolution,[status(thm)],[f12179,f9415])).
% 8.02/1.52 fof(f12275,plain,(
% 8.02/1.52 ~spl0_256),
% 8.02/1.52 inference(contradiction_clause,[status(thm)],[f12274])).
% 8.02/1.52 fof(f12276,plain,(
% 8.02/1.52 $false),
% 8.02/1.52 inference(sat_refutation,[status(thm)],[f9056,f9106,f12275])).
% 8.02/1.52 % SZS output end CNFRefutation for theBenchmark.p
% 8.24/1.55 % Elapsed time: 1.217073 seconds
% 8.24/1.55 % CPU time: 8.225385 seconds
% 8.24/1.55 % Memory used: 249.415 MB
%------------------------------------------------------------------------------