TSTP Solution File: SWC098+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC098+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.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 12:39:14 EDT 2023
% Result : Theorem 0.16s 0.33s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWC098+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n020.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 11:21:43 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.32 % Drodi V3.5.1
% 0.16/0.33 % Refutation found
% 0.16/0.33 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.33 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.33 fof(f17,axiom,(
% 0.16/0.33 ssList(nil) ),
% 0.16/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.33 fof(f19,axiom,(
% 0.16/0.33 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssItem(W)=> (! [X] :( ssItem(X)=> ( cons(W,U) = cons(X,V)=> ( W = X& V = U ) ) ) )) )) )) )),
% 0.16/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.33 fof(f21,axiom,(
% 0.16/0.33 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> nil != cons(V,U) ) )) )),
% 0.16/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.33 fof(f96,conjecture,(
% 0.16/0.33 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| (? [Y] :( ssItem(Y)& cons(Y,nil) = U& (! [Z] :( ssItem(Z)=> ( ~ memberP(V,Z)| ~ leq(Y,Z)| Y = Z ) ))& memberP(V,Y) ))| ( nil = V& nil = U )| ( (! [X1] :( ssItem(X1)=> ( cons(X1,nil) != W| ~ memberP(X,X1)| (? [X2] :( ssItem(X2)& X1 != X2& memberP(X,X2)& leq(X1,X2) ) )) ))& ( nil != X| nil != W ) ) ) ) )) )) )) )),
% 0.16/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.33 fof(f97,negated_conjecture,(
% 0.16/0.33 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| (? [Y] :( ssItem(Y)& cons(Y,nil) = U& (! [Z] :( ssItem(Z)=> ( ~ memberP(V,Z)| ~ leq(Y,Z)| Y = Z ) ))& memberP(V,Y) ))| ( nil = V& nil = U )| ( (! [X1] :( ssItem(X1)=> ( cons(X1,nil) != W| ~ memberP(X,X1)| (? [X2] :( ssItem(X2)& X1 != X2& memberP(X,X2)& leq(X1,X2) ) )) ))& ( nil != X| nil != W ) ) ) ) )) )) )) ))),
% 0.16/0.33 inference(negated_conjecture,[status(cth)],[f96])).
% 0.16/0.33 fof(f223,plain,(
% 0.16/0.33 ssList(nil)),
% 0.16/0.33 inference(cnf_transformation,[status(esa)],[f17])).
% 0.16/0.33 fof(f226,plain,(
% 0.16/0.33 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssItem(W)|(![X]: (~ssItem(X)|(~cons(W,U)=cons(X,V)|(W=X&V=U)))))))))),
% 0.16/0.33 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 0.16/0.33 fof(f227,plain,(
% 0.16/0.33 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|~ssItem(X2)|~ssItem(X3)|~cons(X2,X0)=cons(X3,X1)|X2=X3)),
% 0.16/0.33 inference(cnf_transformation,[status(esa)],[f226])).
% 0.16/0.33 fof(f234,plain,(
% 0.16/0.33 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|~nil=cons(V,U))))),
% 0.16/0.33 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 0.16/0.33 fof(f235,plain,(
% 0.16/0.33 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|~nil=cons(X1,X0))),
% 0.16/0.33 inference(cnf_transformation,[status(esa)],[f234])).
% 0.16/0.33 fof(f415,plain,(
% 0.16/0.33 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((V=X&U=W)&(![Y]: (((~ssItem(Y)|~cons(Y,nil)=U)|(?[Z]: (ssItem(Z)&((memberP(V,Z)&leq(Y,Z))&~Y=Z))))|~memberP(V,Y))))&(~nil=V|~nil=U))&((?[X1]: (ssItem(X1)&((cons(X1,nil)=W&memberP(X,X1))&(![X2]: (((~ssItem(X2)|X1=X2)|~memberP(X,X2))|~leq(X1,X2))))))|(nil=X&nil=W)))))))))))),
% 0.16/0.33 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.16/0.33 fof(f416,plain,(
% 0.16/0.33 ![W,X,X1]: (pd0_0(X1,X,W)=>(ssItem(X1)&((cons(X1,nil)=W&memberP(X,X1))&(![X2]: (((~ssItem(X2)|X1=X2)|~memberP(X,X2))|~leq(X1,X2))))))),
% 0.16/0.33 introduced(predicate_definition,[f415])).
% 0.16/0.33 fof(f417,plain,(
% 0.16/0.33 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((V=X&U=W)&(![Y]: (((~ssItem(Y)|~cons(Y,nil)=U)|(?[Z]: (ssItem(Z)&((memberP(V,Z)&leq(Y,Z))&~Y=Z))))|~memberP(V,Y))))&(~nil=V|~nil=U))&((?[X1]: pd0_0(X1,X,W))|(nil=X&nil=W))))))))))),
% 0.16/0.33 inference(formula_renaming,[status(thm)],[f415,f416])).
% 0.16/0.33 fof(f418,plain,(
% 0.16/0.33 (ssList(sk0_47)&(ssList(sk0_48)&(ssList(sk0_49)&(ssList(sk0_50)&((((sk0_48=sk0_50&sk0_47=sk0_49)&(![Y]: (((~ssItem(Y)|~cons(Y,nil)=sk0_47)|(ssItem(sk0_51(Y))&((memberP(sk0_48,sk0_51(Y))&leq(Y,sk0_51(Y)))&~Y=sk0_51(Y))))|~memberP(sk0_48,Y))))&(~nil=sk0_48|~nil=sk0_47))&(pd0_0(sk0_52,sk0_50,sk0_49)|(nil=sk0_50&nil=sk0_49)))))))),
% 0.16/0.33 inference(skolemization,[status(esa)],[f417])).
% 0.16/0.33 fof(f423,plain,(
% 0.16/0.33 sk0_48=sk0_50),
% 0.16/0.33 inference(cnf_transformation,[status(esa)],[f418])).
% 0.16/0.33 fof(f424,plain,(
% 0.16/0.33 sk0_47=sk0_49),
% 0.16/0.33 inference(cnf_transformation,[status(esa)],[f418])).
% 0.16/0.33 fof(f425,plain,(
% 0.16/0.33 ![X0]: (~ssItem(X0)|~cons(X0,nil)=sk0_47|ssItem(sk0_51(X0))|~memberP(sk0_48,X0))),
% 0.16/0.33 inference(cnf_transformation,[status(esa)],[f418])).
% 0.16/0.33 fof(f426,plain,(
% 0.16/0.33 ![X0]: (~ssItem(X0)|~cons(X0,nil)=sk0_47|memberP(sk0_48,sk0_51(X0))|~memberP(sk0_48,X0))),
% 0.16/0.33 inference(cnf_transformation,[status(esa)],[f418])).
% 0.16/0.33 fof(f427,plain,(
% 0.16/0.33 ![X0]: (~ssItem(X0)|~cons(X0,nil)=sk0_47|leq(X0,sk0_51(X0))|~memberP(sk0_48,X0))),
% 0.16/0.33 inference(cnf_transformation,[status(esa)],[f418])).
% 0.16/0.33 fof(f428,plain,(
% 0.16/0.33 ![X0]: (~ssItem(X0)|~cons(X0,nil)=sk0_47|~X0=sk0_51(X0)|~memberP(sk0_48,X0))),
% 0.16/0.33 inference(cnf_transformation,[status(esa)],[f418])).
% 0.16/0.33 fof(f429,plain,(
% 0.16/0.33 ~nil=sk0_48|~nil=sk0_47),
% 0.16/0.33 inference(cnf_transformation,[status(esa)],[f418])).
% 0.16/0.33 fof(f430,plain,(
% 0.16/0.33 pd0_0(sk0_52,sk0_50,sk0_49)|nil=sk0_50),
% 0.16/0.33 inference(cnf_transformation,[status(esa)],[f418])).
% 0.16/0.33 fof(f431,plain,(
% 0.16/0.33 pd0_0(sk0_52,sk0_50,sk0_49)|nil=sk0_49),
% 0.16/0.33 inference(cnf_transformation,[status(esa)],[f418])).
% 0.16/0.33 fof(f432,plain,(
% 0.16/0.33 ![W,X,X1]: (~pd0_0(X1,X,W)|(ssItem(X1)&((cons(X1,nil)=W&memberP(X,X1))&(![X2]: (((~ssItem(X2)|X1=X2)|~memberP(X,X2))|~leq(X1,X2))))))),
% 0.16/0.33 inference(pre_NNF_transformation,[status(esa)],[f416])).
% 0.16/0.33 fof(f433,plain,(
% 0.16/0.33 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|ssItem(X0))),
% 0.16/0.33 inference(cnf_transformation,[status(esa)],[f432])).
% 0.16/0.33 fof(f434,plain,(
% 0.16/0.33 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|cons(X0,nil)=X2)),
% 0.16/0.33 inference(cnf_transformation,[status(esa)],[f432])).
% 0.16/0.33 fof(f435,plain,(
% 0.16/0.33 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|memberP(X1,X0))),
% 0.16/0.33 inference(cnf_transformation,[status(esa)],[f432])).
% 0.16/0.33 fof(f436,plain,(
% 0.16/0.33 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2)|~ssItem(X3)|X0=X3|~memberP(X1,X3)|~leq(X0,X3))),
% 0.16/0.33 inference(cnf_transformation,[status(esa)],[f432])).
% 0.16/0.33 fof(f437,plain,(
% 0.16/0.33 spl0_0 <=> nil=sk0_48),
% 0.16/0.33 introduced(split_symbol_definition)).
% 0.16/0.33 fof(f439,plain,(
% 0.16/0.33 ~nil=sk0_48|spl0_0),
% 0.16/0.33 inference(component_clause,[status(thm)],[f437])).
% 0.16/0.33 fof(f440,plain,(
% 0.16/0.33 spl0_1 <=> nil=sk0_47),
% 0.16/0.33 introduced(split_symbol_definition)).
% 0.16/0.33 fof(f442,plain,(
% 0.16/0.33 ~nil=sk0_47|spl0_1),
% 0.16/0.33 inference(component_clause,[status(thm)],[f440])).
% 0.16/0.33 fof(f443,plain,(
% 0.16/0.33 ~spl0_0|~spl0_1),
% 0.16/0.33 inference(split_clause,[status(thm)],[f429,f437,f440])).
% 0.16/0.33 fof(f444,plain,(
% 0.16/0.33 spl0_2 <=> pd0_0(sk0_52,sk0_50,sk0_49)),
% 0.16/0.33 introduced(split_symbol_definition)).
% 0.16/0.33 fof(f445,plain,(
% 0.16/0.33 pd0_0(sk0_52,sk0_50,sk0_49)|~spl0_2),
% 0.16/0.33 inference(component_clause,[status(thm)],[f444])).
% 0.16/0.33 fof(f447,plain,(
% 0.16/0.33 spl0_3 <=> nil=sk0_50),
% 0.16/0.33 introduced(split_symbol_definition)).
% 0.16/0.33 fof(f448,plain,(
% 0.16/0.33 nil=sk0_50|~spl0_3),
% 0.16/0.33 inference(component_clause,[status(thm)],[f447])).
% 0.16/0.33 fof(f450,plain,(
% 0.16/0.33 spl0_2|spl0_3),
% 0.16/0.33 inference(split_clause,[status(thm)],[f430,f444,f447])).
% 0.16/0.33 fof(f451,plain,(
% 0.16/0.33 spl0_4 <=> nil=sk0_49),
% 0.16/0.33 introduced(split_symbol_definition)).
% 0.16/0.33 fof(f452,plain,(
% 0.16/0.33 nil=sk0_49|~spl0_4),
% 0.16/0.33 inference(component_clause,[status(thm)],[f451])).
% 0.16/0.33 fof(f454,plain,(
% 0.16/0.33 spl0_2|spl0_4),
% 0.16/0.33 inference(split_clause,[status(thm)],[f431,f444,f451])).
% 0.16/0.33 fof(f487,plain,(
% 0.16/0.33 spl0_5 <=> ~ssList(X0)|~ssList(X0)),
% 0.16/0.33 introduced(split_symbol_definition)).
% 0.16/0.33 fof(f488,plain,(
% 0.16/0.33 ![X0]: (~ssList(X0)|~ssList(X0)|~spl0_5)),
% 0.16/0.33 inference(component_clause,[status(thm)],[f487])).
% 0.16/0.33 fof(f490,plain,(
% 0.16/0.33 spl0_6 <=> ~ssItem(X1)|~ssItem(X1)|X1=X1),
% 0.16/0.33 introduced(split_symbol_definition)).
% 0.16/0.33 fof(f493,plain,(
% 0.16/0.33 ![X0,X1]: (~ssList(X0)|~ssList(X0)|~ssItem(X1)|~ssItem(X1)|X1=X1)),
% 0.16/0.33 inference(equality_resolution,[status(esa)],[f227])).
% 0.16/0.33 fof(f494,plain,(
% 0.16/0.33 spl0_5|spl0_6),
% 0.16/0.33 inference(split_clause,[status(thm)],[f493,f487,f490])).
% 0.16/0.33 fof(f495,plain,(
% 0.16/0.33 ![X0]: (~ssList(X0)|~spl0_5)),
% 0.16/0.33 inference(duplicate_literals_removal,[status(esa)],[f488])).
% 0.16/0.33 fof(f496,plain,(
% 0.16/0.33 pd0_0(sk0_52,sk0_48,sk0_49)|~spl0_2),
% 0.16/0.33 inference(forward_demodulation,[status(thm)],[f423,f445])).
% 0.16/0.33 fof(f497,plain,(
% 0.16/0.33 pd0_0(sk0_52,sk0_48,sk0_47)|~spl0_2),
% 0.16/0.33 inference(forward_demodulation,[status(thm)],[f424,f496])).
% 0.16/0.33 fof(f498,plain,(
% 0.16/0.33 cons(sk0_52,nil)=sk0_47|~spl0_2),
% 0.16/0.33 inference(resolution,[status(thm)],[f497,f434])).
% 0.16/0.33 fof(f499,plain,(
% 0.16/0.33 memberP(sk0_48,sk0_52)|~spl0_2),
% 0.16/0.33 inference(resolution,[status(thm)],[f497,f435])).
% 0.16/0.33 fof(f500,plain,(
% 0.16/0.33 ssItem(sk0_52)|~spl0_2),
% 0.16/0.33 inference(resolution,[status(thm)],[f497,f433])).
% 0.16/0.33 fof(f504,plain,(
% 0.16/0.33 spl0_8 <=> ssList(nil)),
% 0.16/0.33 introduced(split_symbol_definition)).
% 0.16/0.33 fof(f506,plain,(
% 0.16/0.33 ~ssList(nil)|spl0_8),
% 0.16/0.33 inference(component_clause,[status(thm)],[f504])).
% 0.16/0.33 fof(f507,plain,(
% 0.16/0.33 spl0_9 <=> ssItem(sk0_52)),
% 0.16/0.33 introduced(split_symbol_definition)).
% 0.16/0.33 fof(f509,plain,(
% 0.16/0.33 ~ssItem(sk0_52)|spl0_9),
% 0.16/0.33 inference(component_clause,[status(thm)],[f507])).
% 0.16/0.33 fof(f524,plain,(
% 0.16/0.33 ~ssList(nil)|~ssItem(sk0_52)|~nil=sk0_47|~spl0_2),
% 0.16/0.33 inference(paramodulation,[status(thm)],[f498,f235])).
% 0.16/0.33 fof(f525,plain,(
% 0.16/0.33 ~spl0_8|~spl0_9|~spl0_1|~spl0_2),
% 0.16/0.33 inference(split_clause,[status(thm)],[f524,f504,f507,f440,f444])).
% 0.16/0.33 fof(f533,plain,(
% 0.16/0.33 $false|~spl0_2|spl0_9),
% 0.16/0.33 inference(forward_subsumption_resolution,[status(thm)],[f509,f500])).
% 0.16/0.33 fof(f534,plain,(
% 0.16/0.33 ~spl0_2|spl0_9),
% 0.16/0.33 inference(contradiction_clause,[status(thm)],[f533])).
% 0.16/0.33 fof(f535,plain,(
% 0.16/0.33 nil=sk0_48|~spl0_3),
% 0.16/0.33 inference(forward_demodulation,[status(thm)],[f423,f448])).
% 0.16/0.33 fof(f536,plain,(
% 0.16/0.33 $false|spl0_0|~spl0_3),
% 0.16/0.33 inference(forward_subsumption_resolution,[status(thm)],[f535,f439])).
% 0.16/0.33 fof(f537,plain,(
% 0.16/0.33 spl0_0|~spl0_3),
% 0.16/0.33 inference(contradiction_clause,[status(thm)],[f536])).
% 0.16/0.33 fof(f538,plain,(
% 0.16/0.33 $false|spl0_8),
% 0.16/0.33 inference(forward_subsumption_resolution,[status(thm)],[f506,f223])).
% 0.16/0.33 fof(f539,plain,(
% 0.16/0.33 spl0_8),
% 0.16/0.33 inference(contradiction_clause,[status(thm)],[f538])).
% 0.16/0.33 fof(f540,plain,(
% 0.16/0.33 $false|~spl0_5),
% 0.16/0.33 inference(backward_subsumption_resolution,[status(thm)],[f223,f495])).
% 0.16/0.33 fof(f541,plain,(
% 0.16/0.33 ~spl0_5),
% 0.16/0.33 inference(contradiction_clause,[status(thm)],[f540])).
% 0.16/0.33 fof(f560,plain,(
% 0.16/0.33 ![X0]: (~ssItem(X0)|sk0_52=X0|~memberP(sk0_48,X0)|~leq(sk0_52,X0)|~spl0_2)),
% 0.16/0.33 inference(resolution,[status(thm)],[f436,f497])).
% 0.16/0.33 fof(f561,plain,(
% 0.16/0.33 spl0_15 <=> memberP(sk0_48,sk0_52)),
% 0.16/0.33 introduced(split_symbol_definition)).
% 0.16/0.33 fof(f563,plain,(
% 0.16/0.33 ~memberP(sk0_48,sk0_52)|spl0_15),
% 0.16/0.33 inference(component_clause,[status(thm)],[f561])).
% 0.16/0.33 fof(f566,plain,(
% 0.16/0.33 spl0_16 <=> sk0_52=sk0_51(sk0_52)),
% 0.16/0.33 introduced(split_symbol_definition)).
% 0.16/0.33 fof(f569,plain,(
% 0.16/0.33 ~ssItem(sk0_52)|~sk0_52=sk0_51(sk0_52)|~memberP(sk0_48,sk0_52)|~spl0_2),
% 0.16/0.33 inference(resolution,[status(thm)],[f428,f498])).
% 0.16/0.33 fof(f570,plain,(
% 0.16/0.33 ~spl0_9|~spl0_16|~spl0_15|~spl0_2),
% 0.16/0.33 inference(split_clause,[status(thm)],[f569,f507,f566,f561,f444])).
% 0.16/0.33 fof(f573,plain,(
% 0.16/0.33 spl0_17 <=> ssItem(sk0_51(sk0_52))),
% 0.16/0.33 introduced(split_symbol_definition)).
% 0.16/0.33 fof(f576,plain,(
% 0.16/0.33 ~ssItem(sk0_52)|ssItem(sk0_51(sk0_52))|~memberP(sk0_48,sk0_52)|~spl0_2),
% 0.16/0.33 inference(resolution,[status(thm)],[f425,f498])).
% 0.16/0.33 fof(f577,plain,(
% 0.16/0.33 ~spl0_9|spl0_17|~spl0_15|~spl0_2),
% 0.16/0.33 inference(split_clause,[status(thm)],[f576,f507,f573,f561,f444])).
% 0.16/0.33 fof(f580,plain,(
% 0.16/0.33 $false|~spl0_2|spl0_15),
% 0.16/0.33 inference(forward_subsumption_resolution,[status(thm)],[f563,f499])).
% 0.16/0.33 fof(f581,plain,(
% 0.16/0.33 ~spl0_2|spl0_15),
% 0.16/0.33 inference(contradiction_clause,[status(thm)],[f580])).
% 0.16/0.33 fof(f582,plain,(
% 0.16/0.33 spl0_18 <=> leq(sk0_52,sk0_51(sk0_52))),
% 0.16/0.33 introduced(split_symbol_definition)).
% 0.16/0.33 fof(f583,plain,(
% 0.16/0.33 leq(sk0_52,sk0_51(sk0_52))|~spl0_18),
% 0.16/0.33 inference(component_clause,[status(thm)],[f582])).
% 0.16/0.33 fof(f585,plain,(
% 0.16/0.33 ~ssItem(sk0_52)|leq(sk0_52,sk0_51(sk0_52))|~memberP(sk0_48,sk0_52)|~spl0_2),
% 0.16/0.33 inference(resolution,[status(thm)],[f427,f498])).
% 0.16/0.33 fof(f586,plain,(
% 0.16/0.33 ~spl0_9|spl0_18|~spl0_15|~spl0_2),
% 0.16/0.33 inference(split_clause,[status(thm)],[f585,f507,f582,f561,f444])).
% 0.16/0.33 fof(f589,plain,(
% 0.16/0.33 spl0_19 <=> memberP(sk0_48,sk0_51(sk0_52))),
% 0.16/0.33 introduced(split_symbol_definition)).
% 0.16/0.33 fof(f592,plain,(
% 0.16/0.33 ~ssItem(sk0_51(sk0_52))|sk0_52=sk0_51(sk0_52)|~memberP(sk0_48,sk0_51(sk0_52))|~spl0_18|~spl0_2),
% 0.16/0.33 inference(resolution,[status(thm)],[f583,f560])).
% 0.16/0.33 fof(f593,plain,(
% 0.16/0.33 ~spl0_17|spl0_16|~spl0_19|~spl0_18|~spl0_2),
% 0.16/0.33 inference(split_clause,[status(thm)],[f592,f573,f566,f589,f582,f444])).
% 0.16/0.33 fof(f594,plain,(
% 0.16/0.33 ~ssItem(sk0_52)|memberP(sk0_48,sk0_51(sk0_52))|~memberP(sk0_48,sk0_52)|~spl0_2),
% 0.16/0.33 inference(resolution,[status(thm)],[f426,f498])).
% 0.16/0.33 fof(f595,plain,(
% 0.16/0.33 ~spl0_9|spl0_19|~spl0_15|~spl0_2),
% 0.16/0.33 inference(split_clause,[status(thm)],[f594,f507,f589,f561,f444])).
% 0.16/0.33 fof(f598,plain,(
% 0.16/0.33 nil=sk0_47|~spl0_4),
% 0.16/0.33 inference(forward_demodulation,[status(thm)],[f424,f452])).
% 0.16/0.33 fof(f599,plain,(
% 0.16/0.33 $false|spl0_1|~spl0_4),
% 0.16/0.33 inference(forward_subsumption_resolution,[status(thm)],[f598,f442])).
% 0.16/0.33 fof(f600,plain,(
% 0.16/0.33 spl0_1|~spl0_4),
% 0.16/0.33 inference(contradiction_clause,[status(thm)],[f599])).
% 0.16/0.33 fof(f601,plain,(
% 0.16/0.33 $false),
% 0.16/0.33 inference(sat_refutation,[status(thm)],[f443,f450,f454,f494,f525,f534,f537,f539,f541,f570,f577,f581,f586,f593,f595,f600])).
% 0.16/0.54 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.54 % Elapsed time: 0.017747 seconds
% 0.16/0.54 % CPU time: 0.020865 seconds
% 0.16/0.54 % Memory used: 4.132 MB
%------------------------------------------------------------------------------