TSTP Solution File: SWW349+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWW349+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 12.23s 2.32s
% Output : CNFRefutation 12.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SWW349+1 : TPTP v8.1.2. Released v5.2.0.
% 0.11/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n027.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 23:28:02 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.59/0.80 % Drodi V3.6.0
% 12.23/2.32 % Refutation found
% 12.23/2.32 % SZS status Theorem for theBenchmark: Theorem is valid
% 12.23/2.32 % SZS output start CNFRefutation for theBenchmark
% 12.23/2.32 fof(f2,axiom,(
% 12.23/2.32 (! [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 ) ) )),
% 12.23/2.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.23/2.32 fof(f5214,axiom,(
% 12.23/2.32 hBOOL(c_fTrue) ),
% 12.23/2.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.23/2.32 fof(f5227,hypothesis,(
% 12.23/2.32 (! [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 ) )),
% 12.23/2.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.23/2.32 fof(f5228,conjecture,(
% 12.23/2.32 hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),v_s_H)) ),
% 12.23/2.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.23/2.32 fof(f5229,negated_conjecture,(
% 12.23/2.32 ~(hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),v_s_H)) )),
% 12.23/2.32 inference(negated_conjecture,[status(cth)],[f5228])).
% 12.23/2.32 fof(f5233,plain,(
% 12.23/2.32 ![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))),
% 12.23/2.32 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 12.23/2.32 fof(f5234,plain,(
% 12.23/2.32 ![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)))),
% 12.23/2.32 inference(miniscoping,[status(esa)],[f5233])).
% 12.23/2.32 fof(f5235,plain,(
% 12.23/2.32 ![X0,X1,X2,X3]: (~hBOOL(hAPP(hAPP(c_Natural_Oevalc(X0),X1),X2))|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(X0),X1),X3))|X3=X2)),
% 12.23/2.32 inference(cnf_transformation,[status(esa)],[f5234])).
% 12.23/2.32 fof(f19843,plain,(
% 12.23/2.32 hBOOL(c_fTrue)),
% 12.23/2.32 inference(cnf_transformation,[status(esa)],[f5214])).
% 12.23/2.32 fof(f19864,plain,(
% 12.23/2.32 ![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)),
% 12.23/2.32 inference(pre_NNF_transformation,[status(esa)],[f5227])).
% 12.23/2.32 fof(f19865,plain,(
% 12.23/2.32 ![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)),
% 12.23/2.32 inference(skolemization,[status(esa)],[f19864])).
% 12.23/2.32 fof(f19866,plain,(
% 12.23/2.32 ![X0]: (hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),sk0_523(X0)))|X0=v_s_H)),
% 12.23/2.32 inference(cnf_transformation,[status(esa)],[f19865])).
% 12.23/2.32 fof(f19867,plain,(
% 12.23/2.32 ![X0]: (~X0=sk0_523(X0)|X0=v_s_H)),
% 12.23/2.32 inference(cnf_transformation,[status(esa)],[f19865])).
% 12.23/2.32 fof(f19868,plain,(
% 12.23/2.32 ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),v_s_H))),
% 12.23/2.32 inference(cnf_transformation,[status(esa)],[f5229])).
% 12.23/2.32 fof(f20274,plain,(
% 12.23/2.32 ![X0,X1]: (X0=v_s_H|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),X1))|sk0_523(X0)=X1)),
% 12.23/2.32 inference(resolution,[status(thm)],[f19866,f5235])).
% 12.23/2.32 fof(f20275,plain,(
% 12.23/2.32 ![X0,X1]: (X0=v_s_H|sk0_523(X0)=sk0_523(X1)|X1=v_s_H)),
% 12.23/2.32 inference(resolution,[status(thm)],[f20274,f19866])).
% 12.23/2.32 fof(f20276,plain,(
% 12.23/2.32 spl0_17 <=> X0=v_s_H|X0=v_s_H),
% 12.23/2.32 introduced(split_symbol_definition)).
% 12.23/2.32 fof(f20277,plain,(
% 12.23/2.32 ![X0]: (X0=v_s_H|X0=v_s_H|~spl0_17)),
% 12.23/2.32 inference(component_clause,[status(thm)],[f20276])).
% 12.23/2.32 fof(f20290,plain,(
% 12.23/2.32 spl0_19 <=> hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),sk0_523(X0)))|X0=v_s_H),
% 12.23/2.32 introduced(split_symbol_definition)).
% 12.23/2.32 fof(f20291,plain,(
% 12.23/2.32 ![X0]: (hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),sk0_523(X0)))|X0=v_s_H|~spl0_19)),
% 12.23/2.32 inference(component_clause,[status(thm)],[f20290])).
% 12.23/2.32 fof(f20293,plain,(
% 12.23/2.32 ![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)),
% 12.23/2.32 inference(paramodulation,[status(thm)],[f20275,f19866])).
% 12.23/2.32 fof(f20294,plain,(
% 12.23/2.32 spl0_19|spl0_17),
% 12.23/2.32 inference(split_clause,[status(thm)],[f20293,f20290,f20276])).
% 12.23/2.32 fof(f20297,plain,(
% 12.23/2.32 ![X0]: (X0=v_s_H|~spl0_17)),
% 12.23/2.32 inference(duplicate_literals_removal,[status(esa)],[f20277])).
% 12.23/2.32 fof(f20311,plain,(
% 12.23/2.32 ![X0]: (sk0_523(X0)=v_s_H|X0=v_s_H|sk0_523(X0)=v_s_H)),
% 12.23/2.32 inference(resolution,[status(thm)],[f19867,f20275])).
% 12.23/2.32 fof(f20312,plain,(
% 12.23/2.32 ![X0]: (sk0_523(X0)=v_s_H|X0=v_s_H)),
% 12.23/2.32 inference(duplicate_literals_removal,[status(esa)],[f20311])).
% 12.23/2.32 fof(f20337,plain,(
% 12.23/2.32 ![X0]: (~hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),X0))|~spl0_17)),
% 12.23/2.32 inference(paramodulation,[status(thm)],[f20297,f19868])).
% 12.23/2.32 fof(f20340,plain,(
% 12.23/2.32 ~hBOOL(v_s_H)|~spl0_17),
% 12.23/2.32 inference(paramodulation,[status(thm)],[f20297,f20337])).
% 12.23/2.38 fof(f20343,plain,(
% 12.23/2.38 ![X0]: (~hBOOL(X0)|~spl0_17)),
% 12.23/2.38 inference(paramodulation,[status(thm)],[f20297,f20340])).
% 12.23/2.38 fof(f20344,plain,(
% 12.23/2.38 $false|~spl0_17),
% 12.23/2.38 inference(backward_subsumption_resolution,[status(thm)],[f19843,f20343])).
% 12.23/2.38 fof(f20345,plain,(
% 12.23/2.38 ~spl0_17),
% 12.23/2.38 inference(contradiction_clause,[status(thm)],[f20344])).
% 12.23/2.38 fof(f20383,plain,(
% 12.23/2.38 spl0_21 <=> hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),v_s_H))),
% 12.23/2.38 introduced(split_symbol_definition)).
% 12.23/2.38 fof(f20384,plain,(
% 12.23/2.38 hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),v_s_H))|~spl0_21),
% 12.23/2.38 inference(component_clause,[status(thm)],[f20383])).
% 12.23/2.38 fof(f20386,plain,(
% 12.23/2.38 ![X0]: (hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),v_s_H))|X0=v_s_H|X0=v_s_H|~spl0_19)),
% 12.23/2.38 inference(paramodulation,[status(thm)],[f20312,f20291])).
% 12.23/2.38 fof(f20387,plain,(
% 12.23/2.38 spl0_21|spl0_17|~spl0_19),
% 12.23/2.38 inference(split_clause,[status(thm)],[f20386,f20383,f20276,f20290])).
% 12.23/2.38 fof(f20392,plain,(
% 12.23/2.38 $false|~spl0_21),
% 12.23/2.38 inference(forward_subsumption_resolution,[status(thm)],[f20384,f19868])).
% 12.23/2.38 fof(f20393,plain,(
% 12.23/2.38 ~spl0_21),
% 12.23/2.38 inference(contradiction_clause,[status(thm)],[f20392])).
% 12.23/2.38 fof(f20394,plain,(
% 12.23/2.38 $false),
% 12.23/2.38 inference(sat_refutation,[status(thm)],[f20294,f20345,f20387,f20393])).
% 12.23/2.38 % SZS output end CNFRefutation for theBenchmark.p
% 12.91/2.44 % Elapsed time: 2.080838 seconds
% 12.91/2.44 % CPU time: 12.723302 seconds
% 12.91/2.44 % Total memory used: 722.586 MB
% 12.91/2.44 % Net memory used: 718.444 MB
%------------------------------------------------------------------------------