TSTP Solution File: SWC412+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC412+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.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 20:45:41 EDT 2024
% Result : Theorem 0.13s 0.40s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SWC412+1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n003.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 : Tue Apr 30 00:07:48 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40 fof(f96,conjecture,(
% 0.13/0.40 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ~ ssList(X)| V != X| U != W| ( ( (? [Y] :( ssItem(Y)& (? [Z] :( ssItem(Z)& (? [X1] :( ssList(X1)& app(app(cons(Y,nil),cons(Z,nil)),X1) = X ) )) )))| (! [X2] :( ssItem(X2)=> (! [X3] :( ssItem(X3)=> (! [X4] :( ssList(X4)=> app(app(cons(X2,nil),cons(X3,nil)),X4) != V ) )) )) ))& ( (? [X5] :( ssItem(X5)& (? [X6] :( ssItem(X6)& (? [X7] :( ssList(X7)& app(app(cons(X6,nil),X7),cons(X5,nil)) != W& app(app(cons(X5,nil),X7),cons(X6,nil)) = X ) )) )))| (! [X8] :( ssItem(X8)=> (! [X9] :( ssItem(X9)=> (! [X10] :( ssList(X10)=> app(app(cons(X8,nil),cons(X9,nil)),X10) != V ) )) )))| (! [X11] :( ssItem(X11)=> (! [X12] :( ssItem(X12)=> (! [X13] :( ~ ssList(X13)| app(app(cons(X11,nil),X13),cons(X12,nil)) != V| app(app(cons(X12,nil),X13),cons(X11,nil)) = U ) )) )) )) ) ) )) )) )) )),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f97,negated_conjecture,(
% 0.13/0.40 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ~ ssList(X)| V != X| U != W| ( ( (? [Y] :( ssItem(Y)& (? [Z] :( ssItem(Z)& (? [X1] :( ssList(X1)& app(app(cons(Y,nil),cons(Z,nil)),X1) = X ) )) )))| (! [X2] :( ssItem(X2)=> (! [X3] :( ssItem(X3)=> (! [X4] :( ssList(X4)=> app(app(cons(X2,nil),cons(X3,nil)),X4) != V ) )) )) ))& ( (? [X5] :( ssItem(X5)& (? [X6] :( ssItem(X6)& (? [X7] :( ssList(X7)& app(app(cons(X6,nil),X7),cons(X5,nil)) != W& app(app(cons(X5,nil),X7),cons(X6,nil)) = X ) )) )))| (! [X8] :( ssItem(X8)=> (! [X9] :( ssItem(X9)=> (! [X10] :( ssList(X10)=> app(app(cons(X8,nil),cons(X9,nil)),X10) != V ) )) )))| (! [X11] :( ssItem(X11)=> (! [X12] :( ssItem(X12)=> (! [X13] :( ~ ssList(X13)| app(app(cons(X11,nil),X13),cons(X12,nil)) != V| app(app(cons(X12,nil),X13),cons(X11,nil)) = U ) )) )) )) ) ) )) )) )) ))),
% 0.13/0.40 inference(negated_conjecture,[status(cth)],[f96])).
% 0.13/0.40 fof(f415,plain,(
% 0.13/0.40 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (((ssList(X)&V=X)&U=W)&(((![Y]: (~ssItem(Y)|(![Z]: (~ssItem(Z)|(![X1]: (~ssList(X1)|~app(app(cons(Y,nil),cons(Z,nil)),X1)=X))))))&(?[X2]: (ssItem(X2)&(?[X3]: (ssItem(X3)&(?[X4]: (ssList(X4)&app(app(cons(X2,nil),cons(X3,nil)),X4)=V)))))))|(((![X5]: (~ssItem(X5)|(![X6]: (~ssItem(X6)|(![X7]: ((~ssList(X7)|app(app(cons(X6,nil),X7),cons(X5,nil))=W)|~app(app(cons(X5,nil),X7),cons(X6,nil))=X))))))&(?[X8]: (ssItem(X8)&(?[X9]: (ssItem(X9)&(?[X10]: (ssList(X10)&app(app(cons(X8,nil),cons(X9,nil)),X10)=V)))))))&(?[X11]: (ssItem(X11)&(?[X12]: (ssItem(X12)&(?[X13]: ((ssList(X13)&app(app(cons(X11,nil),X13),cons(X12,nil))=V)&~app(app(cons(X12,nil),X13),cons(X11,nil))=U))))))))))))))))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.13/0.40 fof(f416,plain,(
% 0.13/0.40 ![V,X]: (pd0_0(X,V)=>((![Y]: (~ssItem(Y)|(![Z]: (~ssItem(Z)|(![X1]: (~ssList(X1)|~app(app(cons(Y,nil),cons(Z,nil)),X1)=X))))))&(?[X2]: (ssItem(X2)&(?[X3]: (ssItem(X3)&(?[X4]: (ssList(X4)&app(app(cons(X2,nil),cons(X3,nil)),X4)=V))))))))),
% 0.13/0.40 introduced(predicate_definition,[f415])).
% 0.13/0.40 fof(f417,plain,(
% 0.13/0.40 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (((ssList(X)&V=X)&U=W)&(pd0_0(X,V)|(((![X5]: (~ssItem(X5)|(![X6]: (~ssItem(X6)|(![X7]: ((~ssList(X7)|app(app(cons(X6,nil),X7),cons(X5,nil))=W)|~app(app(cons(X5,nil),X7),cons(X6,nil))=X))))))&(?[X8]: (ssItem(X8)&(?[X9]: (ssItem(X9)&(?[X10]: (ssList(X10)&app(app(cons(X8,nil),cons(X9,nil)),X10)=V)))))))&(?[X11]: (ssItem(X11)&(?[X12]: (ssItem(X12)&(?[X13]: ((ssList(X13)&app(app(cons(X11,nil),X13),cons(X12,nil))=V)&~app(app(cons(X12,nil),X13),cons(X11,nil))=U)))))))))))))))),
% 0.13/0.40 inference(formula_renaming,[status(thm)],[f415,f416])).
% 0.13/0.40 fof(f418,plain,(
% 0.13/0.40 (ssList(sk0_47)&(ssList(sk0_48)&(ssList(sk0_49)&(((ssList(sk0_50)&sk0_48=sk0_50)&sk0_47=sk0_49)&(pd0_0(sk0_50,sk0_48)|(((![X5]: (~ssItem(X5)|(![X6]: (~ssItem(X6)|(![X7]: ((~ssList(X7)|app(app(cons(X6,nil),X7),cons(X5,nil))=sk0_49)|~app(app(cons(X5,nil),X7),cons(X6,nil))=sk0_50))))))&(ssItem(sk0_51)&(ssItem(sk0_52)&(ssList(sk0_53)&app(app(cons(sk0_51,nil),cons(sk0_52,nil)),sk0_53)=sk0_48))))&(ssItem(sk0_54)&(ssItem(sk0_55)&((ssList(sk0_56)&app(app(cons(sk0_54,nil),sk0_56),cons(sk0_55,nil))=sk0_48)&~app(app(cons(sk0_55,nil),sk0_56),cons(sk0_54,nil))=sk0_47)))))))))),
% 0.13/0.42 inference(skolemization,[status(esa)],[f417])).
% 0.13/0.42 fof(f423,plain,(
% 0.13/0.42 sk0_48=sk0_50),
% 0.13/0.42 inference(cnf_transformation,[status(esa)],[f418])).
% 0.13/0.42 fof(f424,plain,(
% 0.13/0.42 sk0_47=sk0_49),
% 0.13/0.42 inference(cnf_transformation,[status(esa)],[f418])).
% 0.13/0.42 fof(f425,plain,(
% 0.13/0.42 ![X0,X1,X2]: (pd0_0(sk0_50,sk0_48)|~ssItem(X0)|~ssItem(X1)|~ssList(X2)|app(app(cons(X1,nil),X2),cons(X0,nil))=sk0_49|~app(app(cons(X0,nil),X2),cons(X1,nil))=sk0_50)),
% 0.13/0.42 inference(cnf_transformation,[status(esa)],[f418])).
% 0.13/0.42 fof(f430,plain,(
% 0.13/0.42 pd0_0(sk0_50,sk0_48)|ssItem(sk0_54)),
% 0.13/0.42 inference(cnf_transformation,[status(esa)],[f418])).
% 0.13/0.42 fof(f431,plain,(
% 0.13/0.42 pd0_0(sk0_50,sk0_48)|ssItem(sk0_55)),
% 0.13/0.42 inference(cnf_transformation,[status(esa)],[f418])).
% 0.13/0.42 fof(f432,plain,(
% 0.13/0.42 pd0_0(sk0_50,sk0_48)|ssList(sk0_56)),
% 0.13/0.42 inference(cnf_transformation,[status(esa)],[f418])).
% 0.13/0.42 fof(f433,plain,(
% 0.13/0.42 pd0_0(sk0_50,sk0_48)|app(app(cons(sk0_54,nil),sk0_56),cons(sk0_55,nil))=sk0_48),
% 0.13/0.42 inference(cnf_transformation,[status(esa)],[f418])).
% 0.13/0.42 fof(f434,plain,(
% 0.13/0.42 pd0_0(sk0_50,sk0_48)|~app(app(cons(sk0_55,nil),sk0_56),cons(sk0_54,nil))=sk0_47),
% 0.13/0.42 inference(cnf_transformation,[status(esa)],[f418])).
% 0.13/0.42 fof(f435,plain,(
% 0.13/0.42 ![V,X]: (~pd0_0(X,V)|((![Y]: (~ssItem(Y)|(![Z]: (~ssItem(Z)|(![X1]: (~ssList(X1)|~app(app(cons(Y,nil),cons(Z,nil)),X1)=X))))))&(?[X2]: (ssItem(X2)&(?[X3]: (ssItem(X3)&(?[X4]: (ssList(X4)&app(app(cons(X2,nil),cons(X3,nil)),X4)=V))))))))),
% 0.13/0.42 inference(pre_NNF_transformation,[status(esa)],[f416])).
% 0.13/0.42 fof(f436,plain,(
% 0.13/0.42 ![V,X]: (~pd0_0(X,V)|((![Y]: (~ssItem(Y)|(![Z]: (~ssItem(Z)|(![X1]: (~ssList(X1)|~app(app(cons(Y,nil),cons(Z,nil)),X1)=X))))))&(ssItem(sk0_57(X,V))&(ssItem(sk0_58(X,V))&(ssList(sk0_59(X,V))&app(app(cons(sk0_57(X,V),nil),cons(sk0_58(X,V),nil)),sk0_59(X,V))=V)))))),
% 0.13/0.42 inference(skolemization,[status(esa)],[f435])).
% 0.13/0.42 fof(f437,plain,(
% 0.13/0.42 ![X0,X1,X2,X3,X4]: (~pd0_0(X0,X1)|~ssItem(X2)|~ssItem(X3)|~ssList(X4)|~app(app(cons(X2,nil),cons(X3,nil)),X4)=X0)),
% 0.13/0.42 inference(cnf_transformation,[status(esa)],[f436])).
% 0.13/0.42 fof(f438,plain,(
% 0.13/0.42 ![X0,X1]: (~pd0_0(X0,X1)|ssItem(sk0_57(X0,X1)))),
% 0.13/0.42 inference(cnf_transformation,[status(esa)],[f436])).
% 0.13/0.42 fof(f439,plain,(
% 0.13/0.42 ![X0,X1]: (~pd0_0(X0,X1)|ssItem(sk0_58(X0,X1)))),
% 0.13/0.42 inference(cnf_transformation,[status(esa)],[f436])).
% 0.13/0.42 fof(f440,plain,(
% 0.13/0.42 ![X0,X1]: (~pd0_0(X0,X1)|ssList(sk0_59(X0,X1)))),
% 0.13/0.42 inference(cnf_transformation,[status(esa)],[f436])).
% 0.13/0.42 fof(f441,plain,(
% 0.13/0.42 ![X0,X1]: (~pd0_0(X0,X1)|app(app(cons(sk0_57(X0,X1),nil),cons(sk0_58(X0,X1),nil)),sk0_59(X0,X1))=X1)),
% 0.13/0.42 inference(cnf_transformation,[status(esa)],[f436])).
% 0.13/0.42 fof(f442,plain,(
% 0.13/0.42 spl0_0 <=> pd0_0(sk0_50,sk0_48)),
% 0.13/0.42 introduced(split_symbol_definition)).
% 0.13/0.42 fof(f443,plain,(
% 0.13/0.42 pd0_0(sk0_50,sk0_48)|~spl0_0),
% 0.13/0.42 inference(component_clause,[status(thm)],[f442])).
% 0.13/0.42 fof(f445,plain,(
% 0.13/0.42 spl0_1 <=> ~ssItem(X0)|~ssItem(X1)|~ssList(X2)|app(app(cons(X1,nil),X2),cons(X0,nil))=sk0_49|~app(app(cons(X0,nil),X2),cons(X1,nil))=sk0_50),
% 0.13/0.42 introduced(split_symbol_definition)).
% 0.13/0.42 fof(f446,plain,(
% 0.13/0.42 ![X0,X1,X2]: (~ssItem(X0)|~ssItem(X1)|~ssList(X2)|app(app(cons(X1,nil),X2),cons(X0,nil))=sk0_49|~app(app(cons(X0,nil),X2),cons(X1,nil))=sk0_50|~spl0_1)),
% 0.13/0.42 inference(component_clause,[status(thm)],[f445])).
% 0.13/0.42 fof(f448,plain,(
% 0.13/0.42 spl0_0|spl0_1),
% 0.13/0.42 inference(split_clause,[status(thm)],[f425,f442,f445])).
% 0.13/0.42 fof(f465,plain,(
% 0.13/0.42 spl0_6 <=> ssItem(sk0_54)),
% 0.13/0.42 introduced(split_symbol_definition)).
% 0.13/0.42 fof(f468,plain,(
% 0.13/0.42 spl0_0|spl0_6),
% 0.13/0.42 inference(split_clause,[status(thm)],[f430,f442,f465])).
% 0.13/0.42 fof(f469,plain,(
% 0.13/0.42 spl0_7 <=> ssItem(sk0_55)),
% 0.13/0.42 introduced(split_symbol_definition)).
% 0.13/0.42 fof(f472,plain,(
% 0.13/0.42 spl0_0|spl0_7),
% 0.13/0.42 inference(split_clause,[status(thm)],[f431,f442,f469])).
% 0.13/0.42 fof(f473,plain,(
% 0.13/0.42 spl0_8 <=> ssList(sk0_56)),
% 0.13/0.42 introduced(split_symbol_definition)).
% 0.13/0.42 fof(f474,plain,(
% 0.13/0.42 ssList(sk0_56)|~spl0_8),
% 0.13/0.42 inference(component_clause,[status(thm)],[f473])).
% 0.13/0.42 fof(f476,plain,(
% 0.13/0.42 spl0_0|spl0_8),
% 0.13/0.42 inference(split_clause,[status(thm)],[f432,f442,f473])).
% 0.13/0.42 fof(f477,plain,(
% 0.13/0.42 spl0_9 <=> app(app(cons(sk0_54,nil),sk0_56),cons(sk0_55,nil))=sk0_48),
% 0.13/0.42 introduced(split_symbol_definition)).
% 0.13/0.42 fof(f480,plain,(
% 0.13/0.42 spl0_0|spl0_9),
% 0.13/0.42 inference(split_clause,[status(thm)],[f433,f442,f477])).
% 0.13/0.42 fof(f481,plain,(
% 0.13/0.42 spl0_10 <=> app(app(cons(sk0_55,nil),sk0_56),cons(sk0_54,nil))=sk0_47),
% 0.13/0.42 introduced(split_symbol_definition)).
% 0.13/0.42 fof(f483,plain,(
% 0.13/0.42 ~app(app(cons(sk0_55,nil),sk0_56),cons(sk0_54,nil))=sk0_47|spl0_10),
% 0.13/0.42 inference(component_clause,[status(thm)],[f481])).
% 0.13/0.42 fof(f484,plain,(
% 0.13/0.42 spl0_0|~spl0_10),
% 0.13/0.42 inference(split_clause,[status(thm)],[f434,f442,f481])).
% 0.13/0.42 fof(f515,plain,(
% 0.13/0.42 ![X0,X1,X2,X3]: (~pd0_0(app(app(cons(X0,nil),cons(X1,nil)),X2),X3)|~ssItem(X0)|~ssItem(X1)|~ssList(X2))),
% 0.13/0.42 inference(destructive_equality_resolution,[status(esa)],[f437])).
% 0.13/0.42 fof(f518,plain,(
% 0.13/0.42 pd0_0(sk0_48,sk0_48)|~spl0_0),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f423,f443])).
% 0.13/0.42 fof(f519,plain,(
% 0.13/0.42 app(app(cons(sk0_57(sk0_48,sk0_48),nil),cons(sk0_58(sk0_48,sk0_48),nil)),sk0_59(sk0_48,sk0_48))=sk0_48|~spl0_0),
% 0.13/0.42 inference(resolution,[status(thm)],[f441,f518])).
% 0.13/0.42 fof(f520,plain,(
% 0.13/0.42 spl0_11 <=> ~pd0_0(sk0_48,X0)),
% 0.13/0.42 introduced(split_symbol_definition)).
% 0.13/0.42 fof(f521,plain,(
% 0.13/0.42 ![X0]: (~pd0_0(sk0_48,X0)|~spl0_11)),
% 0.13/0.42 inference(component_clause,[status(thm)],[f520])).
% 0.13/0.42 fof(f523,plain,(
% 0.13/0.42 spl0_12 <=> ssItem(sk0_57(sk0_48,sk0_48))),
% 0.13/0.42 introduced(split_symbol_definition)).
% 0.13/0.42 fof(f525,plain,(
% 0.13/0.42 ~ssItem(sk0_57(sk0_48,sk0_48))|spl0_12),
% 0.13/0.42 inference(component_clause,[status(thm)],[f523])).
% 0.13/0.42 fof(f526,plain,(
% 0.13/0.42 spl0_13 <=> ssItem(sk0_58(sk0_48,sk0_48))),
% 0.13/0.42 introduced(split_symbol_definition)).
% 0.13/0.42 fof(f528,plain,(
% 0.13/0.42 ~ssItem(sk0_58(sk0_48,sk0_48))|spl0_13),
% 0.13/0.42 inference(component_clause,[status(thm)],[f526])).
% 0.13/0.42 fof(f529,plain,(
% 0.13/0.42 spl0_14 <=> ssList(sk0_59(sk0_48,sk0_48))),
% 0.13/0.42 introduced(split_symbol_definition)).
% 0.13/0.42 fof(f531,plain,(
% 0.13/0.42 ~ssList(sk0_59(sk0_48,sk0_48))|spl0_14),
% 0.13/0.42 inference(component_clause,[status(thm)],[f529])).
% 0.13/0.42 fof(f532,plain,(
% 0.13/0.42 ![X0]: (~pd0_0(sk0_48,X0)|~ssItem(sk0_57(sk0_48,sk0_48))|~ssItem(sk0_58(sk0_48,sk0_48))|~ssList(sk0_59(sk0_48,sk0_48))|~spl0_0)),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f519,f515])).
% 0.13/0.42 fof(f533,plain,(
% 0.13/0.42 spl0_11|~spl0_12|~spl0_13|~spl0_14|~spl0_0),
% 0.13/0.42 inference(split_clause,[status(thm)],[f532,f520,f523,f526,f529,f442])).
% 0.13/0.42 fof(f534,plain,(
% 0.13/0.42 ~pd0_0(sk0_48,sk0_48)|spl0_14),
% 0.13/0.42 inference(resolution,[status(thm)],[f531,f440])).
% 0.13/0.42 fof(f535,plain,(
% 0.13/0.42 $false|~spl0_0|spl0_14),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f534,f518])).
% 0.13/0.42 fof(f536,plain,(
% 0.13/0.42 ~spl0_0|spl0_14),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f535])).
% 0.13/0.42 fof(f537,plain,(
% 0.13/0.42 ![X0,X1,X2]: (~ssItem(X0)|~ssItem(X1)|~ssList(X2)|app(app(cons(X1,nil),X2),cons(X0,nil))=sk0_47|~app(app(cons(X0,nil),X2),cons(X1,nil))=sk0_50|~spl0_1)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f424,f446])).
% 0.13/0.42 fof(f538,plain,(
% 0.13/0.42 ![X0,X1,X2]: (~ssItem(X0)|~ssItem(X1)|~ssList(X2)|app(app(cons(X1,nil),X2),cons(X0,nil))=sk0_47|~app(app(cons(X0,nil),X2),cons(X1,nil))=sk0_48|~spl0_1)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f423,f537])).
% 0.13/0.42 fof(f542,plain,(
% 0.13/0.42 $false|~spl0_11|~spl0_0),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f518,f521])).
% 0.13/0.42 fof(f543,plain,(
% 0.13/0.42 ~spl0_11|~spl0_0),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f542])).
% 0.13/0.42 fof(f545,plain,(
% 0.13/0.42 ![X0,X1]: (~ssItem(X0)|~ssItem(X1)|app(app(cons(X1,nil),sk0_56),cons(X0,nil))=sk0_47|~app(app(cons(X0,nil),sk0_56),cons(X1,nil))=sk0_48|~spl0_1|~spl0_8)),
% 0.13/0.42 inference(resolution,[status(thm)],[f538,f474])).
% 0.13/0.42 fof(f552,plain,(
% 0.13/0.42 ~pd0_0(sk0_48,sk0_48)|spl0_12),
% 0.13/0.42 inference(resolution,[status(thm)],[f525,f438])).
% 0.13/0.42 fof(f553,plain,(
% 0.13/0.42 $false|~spl0_0|spl0_12),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f552,f518])).
% 0.13/0.42 fof(f554,plain,(
% 0.13/0.42 ~spl0_0|spl0_12),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f553])).
% 0.13/0.42 fof(f559,plain,(
% 0.13/0.42 ~pd0_0(sk0_48,sk0_48)|spl0_13),
% 0.13/0.42 inference(resolution,[status(thm)],[f528,f439])).
% 0.13/0.42 fof(f560,plain,(
% 0.13/0.42 $false|~spl0_0|spl0_13),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f559,f518])).
% 0.13/0.42 fof(f561,plain,(
% 0.13/0.42 ~spl0_0|spl0_13),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f560])).
% 0.13/0.42 fof(f565,plain,(
% 0.13/0.42 ~ssItem(sk0_54)|~ssItem(sk0_55)|~app(app(cons(sk0_54,nil),sk0_56),cons(sk0_55,nil))=sk0_48|~spl0_1|~spl0_8|spl0_10),
% 0.13/0.42 inference(resolution,[status(thm)],[f545,f483])).
% 0.13/0.42 fof(f566,plain,(
% 0.13/0.42 ~spl0_6|~spl0_7|~spl0_9|~spl0_1|~spl0_8|spl0_10),
% 0.13/0.42 inference(split_clause,[status(thm)],[f565,f465,f469,f477,f445,f473,f481])).
% 0.13/0.42 fof(f575,plain,(
% 0.13/0.42 $false),
% 0.13/0.42 inference(sat_refutation,[status(thm)],[f448,f468,f472,f476,f480,f484,f533,f536,f543,f554,f561,f566])).
% 0.13/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.068134 seconds
% 0.13/0.42 % CPU time: 0.378979 seconds
% 0.13/0.42 % Total memory used: 69.586 MB
% 0.13/0.42 % Net memory used: 69.303 MB
%------------------------------------------------------------------------------