TSTP Solution File: SWW350+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWW350+1 : TPTP v8.1.2. Released v5.2.0.
% 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 : Tue Apr 30 20:50:06 EDT 2024
% Result : Theorem 196.80s 25.50s
% Output : CNFRefutation 197.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW350+1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Apr 29 22:58:48 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.55/0.77 % Drodi V3.6.0
% 196.80/25.50 % Refutation found
% 196.80/25.50 % SZS status Theorem for theBenchmark: Theorem is valid
% 196.80/25.50 % SZS output start CNFRefutation for theBenchmark
% 196.80/25.50 fof(f2,axiom,(
% 196.80/25.50 (! [V_u,V_t,V_s,V_c] :( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t))=> ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_u))=> V_u = V_t ) ) )),
% 196.80/25.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 196.80/25.50 fof(f180,axiom,(
% 196.80/25.50 (! [V_n] : V_n != hAPP(c_Nat_OSuc,V_n) )),
% 196.80/25.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 196.80/25.50 fof(f5227,hypothesis,(
% 196.80/25.50 (! [B_Z_H] :( (! [B_s1] :( hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),B_s1))=> B_Z_H = B_s1 ))=> B_Z_H = v_s_H ) )),
% 196.80/25.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 196.80/25.50 fof(f5229,conjecture,(
% 196.80/25.50 hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),v_s_H)) ),
% 196.80/25.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 196.80/25.50 fof(f5230,negated_conjecture,(
% 196.80/25.50 ~(hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),v_s_H)) )),
% 196.80/25.50 inference(negated_conjecture,[status(cth)],[f5229])).
% 196.80/25.50 fof(f5234,plain,(
% 196.80/25.50 ![V_u,V_t,V_s,V_c]: (~hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t))|(~hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_u))|V_u=V_t))),
% 196.80/25.50 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 196.80/25.50 fof(f5235,plain,(
% 196.80/25.50 ![V_t,V_s,V_c]: (~hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t))|(![V_u]: (~hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_u))|V_u=V_t)))),
% 196.80/25.50 inference(miniscoping,[status(esa)],[f5234])).
% 196.80/25.50 fof(f5236,plain,(
% 196.80/25.50 ![X0,X1,X2,X3]: (~hBOOL(hAPP(hAPP(c_Natural_Oevalc(X0),X1),X2))|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(X0),X1),X3))|X3=X2)),
% 196.80/25.50 inference(cnf_transformation,[status(esa)],[f5235])).
% 196.80/25.50 fof(f5680,plain,(
% 196.80/25.50 ![X0]: (~X0=hAPP(c_Nat_OSuc,X0))),
% 196.80/25.50 inference(cnf_transformation,[status(esa)],[f180])).
% 196.80/25.50 fof(f19865,plain,(
% 196.80/25.50 ![B_Z_H]: ((?[B_s1]: (hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),B_s1))&~B_Z_H=B_s1))|B_Z_H=v_s_H)),
% 196.80/25.50 inference(pre_NNF_transformation,[status(esa)],[f5227])).
% 196.80/25.50 fof(f19866,plain,(
% 196.80/25.50 ![B_Z_H]: ((hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),sk0_523(B_Z_H)))&~B_Z_H=sk0_523(B_Z_H))|B_Z_H=v_s_H)),
% 196.80/25.50 inference(skolemization,[status(esa)],[f19865])).
% 196.80/25.50 fof(f19867,plain,(
% 196.80/25.50 ![X0]: (hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),sk0_523(X0)))|X0=v_s_H)),
% 196.80/25.50 inference(cnf_transformation,[status(esa)],[f19866])).
% 196.80/25.50 fof(f19868,plain,(
% 196.80/25.50 ![X0]: (~X0=sk0_523(X0)|X0=v_s_H)),
% 196.80/25.50 inference(cnf_transformation,[status(esa)],[f19866])).
% 196.80/25.50 fof(f19871,plain,(
% 196.80/25.50 ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),v_s_H))),
% 196.80/25.50 inference(cnf_transformation,[status(esa)],[f5230])).
% 196.80/25.50 fof(f22952,plain,(
% 196.80/25.50 ![X0,X1]: (X0=v_s_H|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),X1))|sk0_523(X0)=X1)),
% 196.80/25.50 inference(resolution,[status(thm)],[f19867,f5236])).
% 196.80/25.50 fof(f22954,plain,(
% 196.80/25.50 ![X0,X1]: (X0=v_s_H|sk0_523(X0)=sk0_523(X1)|X1=v_s_H)),
% 196.80/25.50 inference(resolution,[status(thm)],[f22952,f19867])).
% 196.80/25.50 fof(f22955,plain,(
% 196.80/25.50 spl0_17 <=> X0=v_s_H|X0=v_s_H),
% 196.80/25.50 introduced(split_symbol_definition)).
% 196.80/25.50 fof(f22956,plain,(
% 196.80/25.50 ![X0]: (X0=v_s_H|X0=v_s_H|~spl0_17)),
% 196.80/25.50 inference(component_clause,[status(thm)],[f22955])).
% 196.80/25.50 fof(f22958,plain,(
% 196.80/25.50 spl0_18 <=> sk0_523(X1)=sk0_523(X2)|X2=v_s_H|X1=v_s_H),
% 196.80/25.50 introduced(split_symbol_definition)).
% 196.80/25.50 fof(f22959,plain,(
% 196.80/25.50 ![X0,X1]: (sk0_523(X0)=sk0_523(X1)|X1=v_s_H|X0=v_s_H|~spl0_18)),
% 196.80/25.50 inference(component_clause,[status(thm)],[f22958])).
% 196.80/25.50 fof(f22961,plain,(
% 196.80/25.50 ![X0,X1,X2]: (X0=v_s_H|sk0_523(X1)=sk0_523(X2)|X2=v_s_H|X1=v_s_H|X0=v_s_H)),
% 196.80/25.50 inference(paramodulation,[status(thm)],[f22954,f22954])).
% 196.80/25.50 fof(f22962,plain,(
% 196.80/25.50 spl0_17|spl0_18),
% 196.80/25.50 inference(split_clause,[status(thm)],[f22961,f22955,f22958])).
% 196.80/25.50 fof(f22969,plain,(
% 196.80/25.50 spl0_19 <=> hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),sk0_523(X0)))|X0=v_s_H),
% 196.80/25.50 introduced(split_symbol_definition)).
% 196.80/25.50 fof(f22970,plain,(
% 196.80/25.50 ![X0]: (hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),sk0_523(X0)))|X0=v_s_H|~spl0_19)),
% 196.80/25.50 inference(component_clause,[status(thm)],[f22969])).
% 196.80/25.50 fof(f22972,plain,(
% 196.80/25.50 ![X0,X1]: (hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),sk0_523(X0)))|X1=v_s_H|X1=v_s_H|X0=v_s_H)),
% 196.80/25.50 inference(paramodulation,[status(thm)],[f22954,f19867])).
% 196.80/25.50 fof(f22973,plain,(
% 196.80/25.50 spl0_19|spl0_17),
% 196.80/25.50 inference(split_clause,[status(thm)],[f22972,f22969,f22955])).
% 196.80/25.50 fof(f22976,plain,(
% 196.80/25.50 ![X0]: (X0=v_s_H|~spl0_17)),
% 197.16/25.54 inference(duplicate_literals_removal,[status(esa)],[f22956])).
% 197.16/25.54 fof(f22977,plain,(
% 197.16/25.54 $false|~spl0_17),
% 197.16/25.54 inference(resolution,[status(thm)],[f22976,f5680])).
% 197.16/25.54 fof(f22978,plain,(
% 197.16/25.54 ~spl0_17),
% 197.16/25.54 inference(contradiction_clause,[status(thm)],[f22977])).
% 197.16/25.54 fof(f23657,plain,(
% 197.16/25.54 spl0_76 <=> hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),v_s_H))),
% 197.16/25.54 introduced(split_symbol_definition)).
% 197.16/25.54 fof(f23658,plain,(
% 197.16/25.54 hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),v_s_H))|~spl0_76),
% 197.16/25.54 inference(component_clause,[status(thm)],[f23657])).
% 197.16/25.54 fof(f23781,plain,(
% 197.16/25.54 spl0_93 <=> hBOOL(hAPP(X0,v_s_H))),
% 197.16/25.54 introduced(split_symbol_definition)).
% 197.16/25.54 fof(f23782,plain,(
% 197.16/25.54 ![X0]: (hBOOL(hAPP(X0,v_s_H))|~spl0_93)),
% 197.16/25.54 inference(component_clause,[status(thm)],[f23781])).
% 197.16/25.54 fof(f25743,plain,(
% 197.16/25.54 $false|~spl0_76),
% 197.16/25.54 inference(forward_subsumption_resolution,[status(thm)],[f23658,f19871])).
% 197.16/25.54 fof(f25744,plain,(
% 197.16/25.54 ~spl0_76),
% 197.16/25.54 inference(contradiction_clause,[status(thm)],[f25743])).
% 197.16/25.54 fof(f26347,plain,(
% 197.16/25.54 $false|~spl0_93),
% 197.16/25.54 inference(backward_subsumption_resolution,[status(thm)],[f19871,f23782])).
% 197.16/25.54 fof(f26348,plain,(
% 197.16/25.54 ~spl0_93),
% 197.16/25.54 inference(contradiction_clause,[status(thm)],[f26347])).
% 197.16/25.54 fof(f26380,plain,(
% 197.16/25.54 ![X0]: (sk0_523(X0)=v_s_H|sk0_523(X0)=v_s_H|X0=v_s_H|~spl0_18)),
% 197.16/25.54 inference(resolution,[status(thm)],[f19868,f22959])).
% 197.16/25.54 fof(f26381,plain,(
% 197.16/25.54 ![X0]: (sk0_523(X0)=v_s_H|X0=v_s_H|~spl0_18)),
% 197.16/25.54 inference(duplicate_literals_removal,[status(esa)],[f26380])).
% 197.16/25.54 fof(f26412,plain,(
% 197.16/25.54 ![X0]: (hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),v_s_H))|X0=v_s_H|X0=v_s_H|~spl0_19|~spl0_18)),
% 197.16/25.54 inference(paramodulation,[status(thm)],[f26381,f22970])).
% 197.16/25.54 fof(f26413,plain,(
% 197.16/25.54 spl0_76|spl0_17|~spl0_19|~spl0_18),
% 197.16/25.54 inference(split_clause,[status(thm)],[f26412,f23657,f22955,f22969,f22958])).
% 197.16/25.54 fof(f26419,plain,(
% 197.16/25.54 $false),
% 197.16/25.54 inference(sat_refutation,[status(thm)],[f22962,f22973,f22978,f25744,f26348,f26413])).
% 197.16/25.54 % SZS output end CNFRefutation for theBenchmark.p
% 198.98/25.85 % Elapsed time: 25.485281 seconds
% 198.98/25.85 % CPU time: 198.129216 seconds
% 198.98/25.85 % Total memory used: 1.758 GB
% 198.98/25.85 % Net memory used: 1.599 GB
%------------------------------------------------------------------------------