TSTP Solution File: SWW348+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWW348+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 20:50:05 EDT 2024
% Result : Theorem 0.83s 1.11s
% Output : CNFRefutation 0.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW348+1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 23:31:09 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.70/0.94 % Drodi V3.6.0
% 0.83/1.11 % Refutation found
% 0.83/1.11 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.83/1.11 % SZS output start CNFRefutation for theBenchmark
% 0.83/1.11 fof(f2,axiom,(
% 0.83/1.11 (! [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 ) ) )),
% 0.83/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.83/1.11 fof(f2108,axiom,(
% 0.83/1.11 c_Int_OMin != c_Int_OPls ),
% 0.83/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.83/1.11 fof(f5227,conjecture,(
% 0.83/1.11 (! [B_Z,B_s_H] :( (! [B_Z_H] :( (! [B_s1] :( hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),B_Z),B_s1))=> B_Z_H = B_s1 ))=> B_Z_H = B_s_H ))=> hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),B_Z),B_s_H)) ) )),
% 0.83/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.83/1.11 fof(f5228,negated_conjecture,(
% 0.83/1.11 ~((! [B_Z,B_s_H] :( (! [B_Z_H] :( (! [B_s1] :( hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),B_Z),B_s1))=> B_Z_H = B_s1 ))=> B_Z_H = B_s_H ))=> hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),B_Z),B_s_H)) ) ))),
% 0.83/1.11 inference(negated_conjecture,[status(cth)],[f5227])).
% 0.83/1.11 fof(f5232,plain,(
% 0.83/1.11 ![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))),
% 0.83/1.11 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.83/1.11 fof(f5233,plain,(
% 0.83/1.11 ![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)))),
% 0.83/1.11 inference(miniscoping,[status(esa)],[f5232])).
% 0.83/1.11 fof(f5234,plain,(
% 0.83/1.11 ![X0,X1,X2,X3]: (~hBOOL(hAPP(hAPP(c_Natural_Oevalc(X0),X1),X2))|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(X0),X1),X3))|X3=X2)),
% 0.83/1.11 inference(cnf_transformation,[status(esa)],[f5233])).
% 0.83/1.11 fof(f11374,plain,(
% 0.83/1.11 ~c_Int_OMin=c_Int_OPls),
% 0.83/1.11 inference(cnf_transformation,[status(esa)],[f2108])).
% 0.83/1.11 fof(f19863,plain,(
% 0.83/1.11 (?[B_Z,B_s_H]: ((![B_Z_H]: ((?[B_s1]: (hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),B_Z),B_s1))&~B_Z_H=B_s1))|B_Z_H=B_s_H))&~hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),B_Z),B_s_H))))),
% 0.83/1.11 inference(pre_NNF_transformation,[status(esa)],[f5228])).
% 0.83/1.11 fof(f19864,plain,(
% 0.83/1.11 ((![B_Z_H]: ((hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),sk0_523),sk0_525(B_Z_H)))&~B_Z_H=sk0_525(B_Z_H))|B_Z_H=sk0_524))&~hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),sk0_523),sk0_524)))),
% 0.83/1.11 inference(skolemization,[status(esa)],[f19863])).
% 0.83/1.11 fof(f19865,plain,(
% 0.83/1.11 ![X0]: (hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),sk0_523),sk0_525(X0)))|X0=sk0_524)),
% 0.83/1.11 inference(cnf_transformation,[status(esa)],[f19864])).
% 0.83/1.11 fof(f19866,plain,(
% 0.83/1.11 ![X0]: (~X0=sk0_525(X0)|X0=sk0_524)),
% 0.83/1.11 inference(cnf_transformation,[status(esa)],[f19864])).
% 0.83/1.11 fof(f19867,plain,(
% 0.83/1.11 ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),sk0_523),sk0_524))),
% 0.83/1.11 inference(cnf_transformation,[status(esa)],[f19864])).
% 0.83/1.11 fof(f20668,plain,(
% 0.83/1.11 ![X0,X1]: (~hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),sk0_523),X0))|X0=sk0_525(X1)|X1=sk0_524)),
% 0.83/1.11 inference(resolution,[status(thm)],[f5234,f19865])).
% 0.83/1.11 fof(f20669,plain,(
% 0.83/1.11 ![X0,X1]: (sk0_525(X0)=sk0_525(X1)|X1=sk0_524|X0=sk0_524)),
% 0.83/1.11 inference(resolution,[status(thm)],[f20668,f19865])).
% 0.83/1.11 fof(f20670,plain,(
% 0.83/1.11 ![X0]: (sk0_525(X0)=sk0_524|X0=sk0_524|sk0_525(X0)=sk0_524)),
% 0.83/1.11 inference(resolution,[status(thm)],[f20669,f19866])).
% 0.83/1.11 fof(f20671,plain,(
% 0.83/1.11 ![X0]: (sk0_525(X0)=sk0_524|X0=sk0_524)),
% 0.83/1.11 inference(duplicate_literals_removal,[status(esa)],[f20670])).
% 0.83/1.11 fof(f20677,plain,(
% 0.83/1.11 spl0_18 <=> X2=sk0_524|X2=sk0_524),
% 0.83/1.11 introduced(split_symbol_definition)).
% 0.83/1.11 fof(f20678,plain,(
% 0.83/1.11 ![X0]: (X0=sk0_524|X0=sk0_524|~spl0_18)),
% 0.83/1.11 inference(component_clause,[status(thm)],[f20677])).
% 0.83/1.11 fof(f20701,plain,(
% 0.83/1.11 ![X0]: (X0=sk0_524|~spl0_18)),
% 0.83/1.11 inference(duplicate_literals_removal,[status(esa)],[f20678])).
% 0.83/1.11 fof(f20718,plain,(
% 0.83/1.11 spl0_22 <=> hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),sk0_523),sk0_524))),
% 0.83/1.11 introduced(split_symbol_definition)).
% 0.83/1.11 fof(f20719,plain,(
% 0.83/1.11 hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),sk0_523),sk0_524))|~spl0_22),
% 0.83/1.11 inference(component_clause,[status(thm)],[f20718])).
% 0.83/1.11 fof(f20721,plain,(
% 0.83/1.11 ![X0]: (hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),sk0_523),sk0_524))|X0=sk0_524|X0=sk0_524)),
% 0.83/1.11 inference(paramodulation,[status(thm)],[f20671,f19865])).
% 0.83/1.11 fof(f20722,plain,(
% 0.83/1.11 spl0_22|spl0_18),
% 0.83/1.11 inference(split_clause,[status(thm)],[f20721,f20718,f20677])).
% 0.83/1.17 fof(f20728,plain,(
% 0.83/1.17 ![X0,X1]: (X0=X1|~spl0_18)),
% 0.83/1.17 inference(paramodulation,[status(thm)],[f20701,f20701])).
% 0.83/1.17 fof(f20730,plain,(
% 0.83/1.17 $false|~spl0_18),
% 0.83/1.17 inference(backward_subsumption_resolution,[status(thm)],[f11374,f20728])).
% 0.83/1.17 fof(f20731,plain,(
% 0.83/1.17 ~spl0_18),
% 0.83/1.17 inference(contradiction_clause,[status(thm)],[f20730])).
% 0.83/1.17 fof(f20732,plain,(
% 0.83/1.17 $false|~spl0_22),
% 0.83/1.17 inference(forward_subsumption_resolution,[status(thm)],[f20719,f19867])).
% 0.83/1.17 fof(f20733,plain,(
% 0.83/1.17 ~spl0_22),
% 0.83/1.17 inference(contradiction_clause,[status(thm)],[f20732])).
% 0.83/1.17 fof(f20734,plain,(
% 0.83/1.17 $false),
% 0.83/1.17 inference(sat_refutation,[status(thm)],[f20722,f20731,f20733])).
% 0.83/1.17 % SZS output end CNFRefutation for theBenchmark.p
% 0.83/1.23 % Elapsed time: 0.869812 seconds
% 0.83/1.23 % CPU time: 2.081522 seconds
% 0.83/1.23 % Total memory used: 628.588 MB
% 0.83/1.23 % Net memory used: 625.494 MB
%------------------------------------------------------------------------------