TSTP Solution File: SWC407+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC407+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 20:45:40 EDT 2024
% Result : Theorem 0.09s 0.35s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : SWC407+1 : TPTP v8.1.2. Released v2.4.0.
% 0.05/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.33 % Computer : n012.cluster.edu
% 0.09/0.33 % Model : x86_64 x86_64
% 0.09/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.33 % Memory : 8042.1875MB
% 0.09/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.33 % CPULimit : 300
% 0.09/0.33 % WCLimit : 300
% 0.09/0.33 % DateTime : Mon Apr 29 23:55:27 EDT 2024
% 0.09/0.33 % CPUTime :
% 0.09/0.34 % Drodi V3.6.0
% 0.09/0.35 % Refutation found
% 0.09/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.35 fof(f4,axiom,(
% 0.09/0.35 (! [U] :( ssList(U)=> ( singletonP(U)<=> (? [V] :( ssItem(V)& cons(V,nil) = U ) )) ) )),
% 0.09/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.35 fof(f16,axiom,(
% 0.09/0.35 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> ssList(cons(V,U)) ) )) )),
% 0.09/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.35 fof(f17,axiom,(
% 0.09/0.35 ssList(nil) ),
% 0.09/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.35 fof(f18,axiom,(
% 0.09/0.35 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> cons(V,U) != U ) )) )),
% 0.09/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.35 fof(f19,axiom,(
% 0.09/0.35 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssItem(W)=> (! [X] :( ssItem(X)=> ( cons(W,U) = cons(X,V)=> ( W = X& V = U ) ) ) )) )) )) )),
% 0.09/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.35 fof(f37,axiom,(
% 0.09/0.35 (! [U] :( ssItem(U)=> (! [V] :( ssItem(V)=> (! [W] :( ssList(W)=> ( memberP(cons(V,W),U)<=> ( U = V| memberP(W,U) ) ) ) )) )) )),
% 0.09/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.35 fof(f38,axiom,(
% 0.09/0.35 (! [U] :( ssItem(U)=> ~ memberP(nil,U) ) )),
% 0.09/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.35 fof(f96,conjecture,(
% 0.09/0.35 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| (! [Y] :( ssItem(Y)=> ( ~ memberP(U,Y)| memberP(V,Y) ) ))| ( (! [Z] :( ssItem(Z)=> ( cons(Z,nil) != W| ~ memberP(X,Z) ) ))& ( nil != X| nil != W ) ) ) ) )) )) )) )),
% 0.09/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.35 fof(f97,negated_conjecture,(
% 0.09/0.35 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| (! [Y] :( ssItem(Y)=> ( ~ memberP(U,Y)| memberP(V,Y) ) ))| ( (! [Z] :( ssItem(Z)=> ( cons(Z,nil) != W| ~ memberP(X,Z) ) ))& ( nil != X| nil != W ) ) ) ) )) )) )) ))),
% 0.09/0.35 inference(negated_conjecture,[status(cth)],[f96])).
% 0.09/0.35 fof(f113,plain,(
% 0.09/0.35 ![U]: (~ssList(U)|(singletonP(U)<=>(?[V]: (ssItem(V)&cons(V,nil)=U))))),
% 0.09/0.35 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.09/0.35 fof(f114,plain,(
% 0.09/0.35 ![U]: (~ssList(U)|((~singletonP(U)|(?[V]: (ssItem(V)&cons(V,nil)=U)))&(singletonP(U)|(![V]: (~ssItem(V)|~cons(V,nil)=U)))))),
% 0.09/0.35 inference(NNF_transformation,[status(esa)],[f113])).
% 0.09/0.35 fof(f115,plain,(
% 0.09/0.35 ![U]: (~ssList(U)|((~singletonP(U)|(ssItem(sk0_4(U))&cons(sk0_4(U),nil)=U))&(singletonP(U)|(![V]: (~ssItem(V)|~cons(V,nil)=U)))))),
% 0.09/0.35 inference(skolemization,[status(esa)],[f114])).
% 0.09/0.35 fof(f116,plain,(
% 0.09/0.35 ![X0]: (~ssList(X0)|~singletonP(X0)|ssItem(sk0_4(X0)))),
% 0.09/0.35 inference(cnf_transformation,[status(esa)],[f115])).
% 0.09/0.35 fof(f117,plain,(
% 0.09/0.35 ![X0]: (~ssList(X0)|~singletonP(X0)|cons(sk0_4(X0),nil)=X0)),
% 0.09/0.35 inference(cnf_transformation,[status(esa)],[f115])).
% 0.09/0.35 fof(f118,plain,(
% 0.09/0.35 ![X0,X1]: (~ssList(X0)|singletonP(X0)|~ssItem(X1)|~cons(X1,nil)=X0)),
% 0.09/0.35 inference(cnf_transformation,[status(esa)],[f115])).
% 0.09/0.35 fof(f221,plain,(
% 0.09/0.35 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|ssList(cons(V,U)))))),
% 0.09/0.35 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 0.09/0.35 fof(f222,plain,(
% 0.09/0.35 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|ssList(cons(X1,X0)))),
% 0.09/0.35 inference(cnf_transformation,[status(esa)],[f221])).
% 0.09/0.35 fof(f223,plain,(
% 0.09/0.35 ssList(nil)),
% 0.09/0.35 inference(cnf_transformation,[status(esa)],[f17])).
% 0.09/0.35 fof(f224,plain,(
% 0.09/0.35 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|~cons(V,U)=U)))),
% 0.09/0.35 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 0.09/0.35 fof(f225,plain,(
% 0.09/0.35 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|~cons(X1,X0)=X0)),
% 0.09/0.35 inference(cnf_transformation,[status(esa)],[f224])).
% 0.09/0.35 fof(f226,plain,(
% 0.09/0.35 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssItem(W)|(![X]: (~ssItem(X)|(~cons(W,U)=cons(X,V)|(W=X&V=U)))))))))),
% 0.09/0.35 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 0.09/0.35 fof(f227,plain,(
% 0.09/0.35 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|~ssItem(X2)|~ssItem(X3)|~cons(X2,X0)=cons(X3,X1)|X2=X3)),
% 0.09/0.35 inference(cnf_transformation,[status(esa)],[f226])).
% 0.09/0.35 fof(f228,plain,(
% 0.09/0.35 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|~ssItem(X2)|~ssItem(X3)|~cons(X2,X0)=cons(X3,X1)|X1=X0)),
% 0.09/0.35 inference(cnf_transformation,[status(esa)],[f226])).
% 0.09/0.35 fof(f273,plain,(
% 0.09/0.35 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|(![W]: (~ssList(W)|(memberP(cons(V,W),U)<=>(U=V|memberP(W,U))))))))),
% 0.09/0.35 inference(pre_NNF_transformation,[status(esa)],[f37])).
% 0.09/0.35 fof(f274,plain,(
% 0.09/0.35 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|(![W]: (~ssList(W)|((~memberP(cons(V,W),U)|(U=V|memberP(W,U)))&(memberP(cons(V,W),U)|(~U=V&~memberP(W,U)))))))))),
% 0.09/0.35 inference(NNF_transformation,[status(esa)],[f273])).
% 0.09/0.35 fof(f275,plain,(
% 0.09/0.35 ![X0,X1,X2]: (~ssItem(X0)|~ssItem(X1)|~ssList(X2)|~memberP(cons(X1,X2),X0)|X0=X1|memberP(X2,X0))),
% 0.09/0.35 inference(cnf_transformation,[status(esa)],[f274])).
% 0.09/0.35 fof(f278,plain,(
% 0.09/0.35 ![U]: (~ssItem(U)|~memberP(nil,U))),
% 0.09/0.35 inference(pre_NNF_transformation,[status(esa)],[f38])).
% 0.09/0.35 fof(f279,plain,(
% 0.09/0.35 ![X0]: (~ssItem(X0)|~memberP(nil,X0))),
% 0.09/0.35 inference(cnf_transformation,[status(esa)],[f278])).
% 0.09/0.35 fof(f415,plain,(
% 0.09/0.35 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((V=X&U=W)&(?[Y]: (ssItem(Y)&(memberP(U,Y)&~memberP(V,Y)))))&((?[Z]: (ssItem(Z)&(cons(Z,nil)=W&memberP(X,Z))))|(nil=X&nil=W)))))))))))),
% 0.09/0.35 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.09/0.35 fof(f416,plain,(
% 0.09/0.35 ![W,X,Z]: (pd0_0(Z,X,W)=>(ssItem(Z)&(cons(Z,nil)=W&memberP(X,Z))))),
% 0.09/0.35 introduced(predicate_definition,[f415])).
% 0.09/0.35 fof(f417,plain,(
% 0.09/0.35 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((V=X&U=W)&(?[Y]: (ssItem(Y)&(memberP(U,Y)&~memberP(V,Y)))))&((?[Z]: pd0_0(Z,X,W))|(nil=X&nil=W))))))))))),
% 0.09/0.35 inference(formula_renaming,[status(thm)],[f415,f416])).
% 0.09/0.35 fof(f418,plain,(
% 0.09/0.35 (ssList(sk0_47)&(ssList(sk0_48)&(ssList(sk0_49)&(ssList(sk0_50)&(((sk0_48=sk0_50&sk0_47=sk0_49)&(ssItem(sk0_51)&(memberP(sk0_47,sk0_51)&~memberP(sk0_48,sk0_51))))&(pd0_0(sk0_52,sk0_50,sk0_49)|(nil=sk0_50&nil=sk0_49)))))))),
% 0.09/0.35 inference(skolemization,[status(esa)],[f417])).
% 0.09/0.35 fof(f423,plain,(
% 0.09/0.35 sk0_48=sk0_50),
% 0.09/0.35 inference(cnf_transformation,[status(esa)],[f418])).
% 0.09/0.35 fof(f424,plain,(
% 0.09/0.35 sk0_47=sk0_49),
% 0.09/0.35 inference(cnf_transformation,[status(esa)],[f418])).
% 0.09/0.35 fof(f425,plain,(
% 0.09/0.35 ssItem(sk0_51)),
% 0.09/0.35 inference(cnf_transformation,[status(esa)],[f418])).
% 0.09/0.35 fof(f426,plain,(
% 0.09/0.35 memberP(sk0_47,sk0_51)),
% 0.09/0.35 inference(cnf_transformation,[status(esa)],[f418])).
% 0.09/0.35 fof(f427,plain,(
% 0.09/0.35 ~memberP(sk0_48,sk0_51)),
% 0.09/0.35 inference(cnf_transformation,[status(esa)],[f418])).
% 0.09/0.35 fof(f428,plain,(
% 0.09/0.35 pd0_0(sk0_52,sk0_50,sk0_49)|nil=sk0_50),
% 0.09/0.35 inference(cnf_transformation,[status(esa)],[f418])).
% 0.09/0.35 fof(f429,plain,(
% 0.09/0.35 pd0_0(sk0_52,sk0_50,sk0_49)|nil=sk0_49),
% 0.09/0.35 inference(cnf_transformation,[status(esa)],[f418])).
% 0.09/0.35 fof(f430,plain,(
% 0.09/0.35 ![W,X,Z]: (~pd0_0(Z,X,W)|(ssItem(Z)&(cons(Z,nil)=W&memberP(X,Z))))),
% 0.09/0.35 inference(pre_NNF_transformation,[status(esa)],[f416])).
% 0.09/0.35 fof(f431,plain,(
% 0.09/0.35 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|ssItem(X0))),
% 0.09/0.35 inference(cnf_transformation,[status(esa)],[f430])).
% 0.09/0.35 fof(f432,plain,(
% 0.09/0.35 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|cons(X0,nil)=X2)),
% 0.09/0.35 inference(cnf_transformation,[status(esa)],[f430])).
% 0.09/0.35 fof(f433,plain,(
% 0.09/0.35 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|memberP(X1,X0))),
% 0.09/0.35 inference(cnf_transformation,[status(esa)],[f430])).
% 0.09/0.35 fof(f434,plain,(
% 0.09/0.35 spl0_0 <=> pd0_0(sk0_52,sk0_50,sk0_49)),
% 0.09/0.35 introduced(split_symbol_definition)).
% 0.09/0.35 fof(f435,plain,(
% 0.09/0.35 pd0_0(sk0_52,sk0_50,sk0_49)|~spl0_0),
% 0.09/0.35 inference(component_clause,[status(thm)],[f434])).
% 0.09/0.35 fof(f437,plain,(
% 0.09/0.35 spl0_1 <=> nil=sk0_50),
% 0.09/0.35 introduced(split_symbol_definition)).
% 0.09/0.35 fof(f438,plain,(
% 0.09/0.35 nil=sk0_50|~spl0_1),
% 0.09/0.35 inference(component_clause,[status(thm)],[f437])).
% 0.09/0.35 fof(f440,plain,(
% 0.09/0.35 spl0_0|spl0_1),
% 0.09/0.35 inference(split_clause,[status(thm)],[f428,f434,f437])).
% 0.09/0.35 fof(f441,plain,(
% 0.09/0.35 spl0_2 <=> nil=sk0_49),
% 0.09/0.35 introduced(split_symbol_definition)).
% 0.09/0.35 fof(f442,plain,(
% 0.09/0.35 nil=sk0_49|~spl0_2),
% 0.09/0.35 inference(component_clause,[status(thm)],[f441])).
% 0.09/0.35 fof(f444,plain,(
% 0.09/0.35 spl0_0|spl0_2),
% 0.09/0.35 inference(split_clause,[status(thm)],[f429,f434,f441])).
% 0.09/0.35 fof(f448,plain,(
% 0.09/0.35 ![X0]: (~ssList(cons(X0,nil))|singletonP(cons(X0,nil))|~ssItem(X0))),
% 0.09/0.35 inference(destructive_equality_resolution,[status(esa)],[f118])).
% 0.09/0.35 fof(f477,plain,(
% 0.09/0.35 spl0_3 <=> ~ssList(X0)|~ssList(X0)),
% 0.09/0.35 introduced(split_symbol_definition)).
% 0.09/0.35 fof(f478,plain,(
% 0.09/0.35 ![X0]: (~ssList(X0)|~ssList(X0)|~spl0_3)),
% 0.09/0.35 inference(component_clause,[status(thm)],[f477])).
% 0.09/0.35 fof(f480,plain,(
% 0.09/0.35 spl0_4 <=> ~ssItem(X1)|~ssItem(X1)|X1=X1),
% 0.09/0.35 introduced(split_symbol_definition)).
% 0.09/0.35 fof(f483,plain,(
% 0.09/0.35 ![X0,X1]: (~ssList(X0)|~ssList(X0)|~ssItem(X1)|~ssItem(X1)|X1=X1)),
% 0.09/0.35 inference(equality_resolution,[status(esa)],[f227])).
% 0.09/0.35 fof(f484,plain,(
% 0.09/0.35 spl0_3|spl0_4),
% 0.09/0.35 inference(split_clause,[status(thm)],[f483,f477,f480])).
% 0.09/0.35 fof(f485,plain,(
% 0.09/0.35 ![X0]: (~ssList(X0)|~spl0_3)),
% 0.09/0.35 inference(duplicate_literals_removal,[status(esa)],[f478])).
% 0.09/0.35 fof(f486,plain,(
% 0.09/0.35 pd0_0(sk0_52,sk0_48,sk0_49)|~spl0_0),
% 0.09/0.35 inference(forward_demodulation,[status(thm)],[f423,f435])).
% 0.09/0.35 fof(f487,plain,(
% 0.09/0.35 pd0_0(sk0_52,sk0_48,sk0_47)|~spl0_0),
% 0.09/0.35 inference(forward_demodulation,[status(thm)],[f424,f486])).
% 0.09/0.35 fof(f488,plain,(
% 0.09/0.35 cons(sk0_52,nil)=sk0_47|~spl0_0),
% 0.09/0.35 inference(resolution,[status(thm)],[f487,f432])).
% 0.09/0.35 fof(f489,plain,(
% 0.09/0.35 memberP(sk0_48,sk0_52)|~spl0_0),
% 0.09/0.35 inference(resolution,[status(thm)],[f487,f433])).
% 0.09/0.35 fof(f490,plain,(
% 0.09/0.35 ssItem(sk0_52)|~spl0_0),
% 0.09/0.35 inference(resolution,[status(thm)],[f487,f431])).
% 0.09/0.35 fof(f494,plain,(
% 0.09/0.35 spl0_6 <=> ssList(nil)),
% 0.09/0.35 introduced(split_symbol_definition)).
% 0.09/0.35 fof(f496,plain,(
% 0.09/0.35 ~ssList(nil)|spl0_6),
% 0.09/0.35 inference(component_clause,[status(thm)],[f494])).
% 0.09/0.35 fof(f497,plain,(
% 0.09/0.35 spl0_7 <=> ssItem(sk0_52)),
% 0.09/0.35 introduced(split_symbol_definition)).
% 0.09/0.35 fof(f499,plain,(
% 0.09/0.35 ~ssItem(sk0_52)|spl0_7),
% 0.09/0.35 inference(component_clause,[status(thm)],[f497])).
% 0.09/0.35 fof(f519,plain,(
% 0.09/0.35 $false|~spl0_0|spl0_7),
% 0.09/0.35 inference(forward_subsumption_resolution,[status(thm)],[f499,f490])).
% 0.09/0.35 fof(f520,plain,(
% 0.09/0.35 ~spl0_0|spl0_7),
% 0.09/0.35 inference(contradiction_clause,[status(thm)],[f519])).
% 0.09/0.35 fof(f521,plain,(
% 0.09/0.35 nil=sk0_48|~spl0_1),
% 0.09/0.35 inference(forward_demodulation,[status(thm)],[f423,f438])).
% 0.09/0.35 fof(f522,plain,(
% 0.09/0.35 nil=sk0_47|~spl0_2),
% 0.09/0.35 inference(forward_demodulation,[status(thm)],[f424,f442])).
% 0.09/0.35 fof(f525,plain,(
% 0.09/0.35 ~memberP(nil,sk0_51)|~spl0_1),
% 0.09/0.35 inference(backward_demodulation,[status(thm)],[f521,f427])).
% 0.09/0.35 fof(f528,plain,(
% 0.09/0.35 memberP(nil,sk0_51)|~spl0_2),
% 0.09/0.35 inference(backward_demodulation,[status(thm)],[f522,f426])).
% 0.09/0.35 fof(f531,plain,(
% 0.09/0.35 $false|~spl0_3),
% 0.09/0.35 inference(backward_subsumption_resolution,[status(thm)],[f223,f485])).
% 0.09/0.35 fof(f532,plain,(
% 0.09/0.35 ~spl0_3),
% 0.09/0.35 inference(contradiction_clause,[status(thm)],[f531])).
% 0.09/0.35 fof(f536,plain,(
% 0.09/0.35 $false|spl0_6),
% 0.09/0.35 inference(forward_subsumption_resolution,[status(thm)],[f223,f496])).
% 0.09/0.35 fof(f537,plain,(
% 0.09/0.35 spl0_6),
% 0.09/0.35 inference(contradiction_clause,[status(thm)],[f536])).
% 0.09/0.35 fof(f592,plain,(
% 0.09/0.35 spl0_20 <=> ~ssItem(X0)|~memberP(sk0_47,X0)|X0=sk0_52|memberP(nil,X0)),
% 0.09/0.35 introduced(split_symbol_definition)).
% 0.09/0.35 fof(f593,plain,(
% 0.09/0.35 ![X0]: (~ssItem(X0)|~memberP(sk0_47,X0)|X0=sk0_52|memberP(nil,X0)|~spl0_20)),
% 0.09/0.35 inference(component_clause,[status(thm)],[f592])).
% 0.09/0.35 fof(f595,plain,(
% 0.09/0.35 ![X0]: (~ssItem(X0)|~ssItem(sk0_52)|~ssList(nil)|~memberP(sk0_47,X0)|X0=sk0_52|memberP(nil,X0)|~spl0_0)),
% 0.09/0.35 inference(paramodulation,[status(thm)],[f488,f275])).
% 0.09/0.35 fof(f596,plain,(
% 0.09/0.35 spl0_20|~spl0_7|~spl0_6|~spl0_0),
% 0.09/0.35 inference(split_clause,[status(thm)],[f595,f592,f497,f494,f434])).
% 0.09/0.35 fof(f597,plain,(
% 0.09/0.35 ![X0]: (~ssItem(X0)|~memberP(sk0_47,X0)|X0=sk0_52|~spl0_20)),
% 0.09/0.35 inference(forward_subsumption_resolution,[status(thm)],[f593,f279])).
% 0.09/0.35 fof(f608,plain,(
% 0.09/0.35 spl0_21 <=> ~ssList(cons(X0,X1))|~singletonP(cons(X0,X1))|~ssList(X1)|~ssItem(sk0_4(cons(X0,X1)))|~ssItem(X0)|sk0_4(cons(X0,X1))=X0),
% 0.09/0.35 introduced(split_symbol_definition)).
% 0.09/0.35 fof(f611,plain,(
% 0.09/0.35 ![X0,X1]: (~ssList(cons(X0,X1))|~singletonP(cons(X0,X1))|~ssList(nil)|~ssList(X1)|~ssItem(sk0_4(cons(X0,X1)))|~ssItem(X0)|sk0_4(cons(X0,X1))=X0)),
% 0.09/0.35 inference(resolution,[status(thm)],[f117,f227])).
% 0.09/0.35 fof(f612,plain,(
% 0.09/0.35 spl0_21|~spl0_6),
% 0.09/0.35 inference(split_clause,[status(thm)],[f611,f608,f494])).
% 0.09/0.35 fof(f613,plain,(
% 0.09/0.35 spl0_22 <=> ~ssList(cons(X0,X1))|~singletonP(cons(X0,X1))|~ssList(X1)|~ssItem(sk0_4(cons(X0,X1)))|~ssItem(X0)|X1=nil),
% 0.09/0.35 introduced(split_symbol_definition)).
% 0.09/0.35 fof(f616,plain,(
% 0.09/0.35 ![X0,X1]: (~ssList(cons(X0,X1))|~singletonP(cons(X0,X1))|~ssList(nil)|~ssList(X1)|~ssItem(sk0_4(cons(X0,X1)))|~ssItem(X0)|X1=nil)),
% 0.09/0.35 inference(resolution,[status(thm)],[f117,f228])).
% 0.09/0.35 fof(f617,plain,(
% 0.09/0.35 spl0_22|~spl0_6),
% 0.09/0.35 inference(split_clause,[status(thm)],[f616,f613,f494])).
% 0.09/0.36 fof(f629,plain,(
% 0.09/0.36 spl0_26 <=> singletonP(nil)),
% 0.09/0.36 introduced(split_symbol_definition)).
% 0.09/0.36 fof(f632,plain,(
% 0.09/0.36 spl0_27 <=> ssItem(sk0_4(nil))),
% 0.09/0.36 introduced(split_symbol_definition)).
% 0.09/0.36 fof(f634,plain,(
% 0.09/0.36 ~ssItem(sk0_4(nil))|spl0_27),
% 0.09/0.36 inference(component_clause,[status(thm)],[f632])).
% 0.09/0.36 fof(f635,plain,(
% 0.09/0.36 ~ssList(nil)|~singletonP(nil)|~ssList(nil)|~ssItem(sk0_4(nil))),
% 0.09/0.36 inference(resolution,[status(thm)],[f117,f225])).
% 0.09/0.36 fof(f636,plain,(
% 0.09/0.36 ~spl0_6|~spl0_26|~spl0_27),
% 0.09/0.36 inference(split_clause,[status(thm)],[f635,f494,f629,f632])).
% 0.09/0.36 fof(f682,plain,(
% 0.09/0.36 spl0_35 <=> singletonP(cons(X0,nil))|~ssItem(X0)|~ssItem(X0)),
% 0.09/0.36 introduced(split_symbol_definition)).
% 0.09/0.36 fof(f685,plain,(
% 0.09/0.36 ![X0]: (singletonP(cons(X0,nil))|~ssItem(X0)|~ssList(nil)|~ssItem(X0))),
% 0.09/0.36 inference(resolution,[status(thm)],[f448,f222])).
% 0.09/0.36 fof(f686,plain,(
% 0.09/0.36 spl0_35|~spl0_6),
% 0.09/0.36 inference(split_clause,[status(thm)],[f685,f682,f494])).
% 0.09/0.36 fof(f696,plain,(
% 0.09/0.36 spl0_37 <=> ssItem(sk0_51)),
% 0.09/0.36 introduced(split_symbol_definition)).
% 0.09/0.36 fof(f698,plain,(
% 0.09/0.36 ~ssItem(sk0_51)|spl0_37),
% 0.09/0.36 inference(component_clause,[status(thm)],[f696])).
% 0.09/0.36 fof(f699,plain,(
% 0.09/0.36 spl0_38 <=> sk0_51=sk0_52),
% 0.09/0.36 introduced(split_symbol_definition)).
% 0.09/0.36 fof(f700,plain,(
% 0.09/0.36 sk0_51=sk0_52|~spl0_38),
% 0.09/0.36 inference(component_clause,[status(thm)],[f699])).
% 0.09/0.36 fof(f702,plain,(
% 0.09/0.36 ~ssItem(sk0_51)|sk0_51=sk0_52|~spl0_20),
% 0.09/0.36 inference(resolution,[status(thm)],[f597,f426])).
% 0.09/0.36 fof(f703,plain,(
% 0.09/0.36 ~spl0_37|spl0_38|~spl0_20),
% 0.09/0.36 inference(split_clause,[status(thm)],[f702,f696,f699,f592])).
% 0.09/0.36 fof(f704,plain,(
% 0.09/0.36 $false|spl0_37),
% 0.09/0.36 inference(forward_subsumption_resolution,[status(thm)],[f698,f425])).
% 0.09/0.36 fof(f705,plain,(
% 0.09/0.36 spl0_37),
% 0.09/0.36 inference(contradiction_clause,[status(thm)],[f704])).
% 0.09/0.36 fof(f714,plain,(
% 0.09/0.36 ~ssList(nil)|~singletonP(nil)|spl0_27),
% 0.09/0.36 inference(resolution,[status(thm)],[f634,f116])).
% 0.09/0.36 fof(f715,plain,(
% 0.09/0.36 ~spl0_6|~spl0_26|spl0_27),
% 0.09/0.36 inference(split_clause,[status(thm)],[f714,f494,f629,f632])).
% 0.09/0.36 fof(f720,plain,(
% 0.09/0.36 $false|~spl0_1|~spl0_2),
% 0.09/0.36 inference(forward_subsumption_resolution,[status(thm)],[f528,f525])).
% 0.09/0.36 fof(f721,plain,(
% 0.09/0.36 ~spl0_1|~spl0_2),
% 0.09/0.36 inference(contradiction_clause,[status(thm)],[f720])).
% 0.09/0.36 fof(f726,plain,(
% 0.09/0.36 memberP(sk0_48,sk0_51)|~spl0_38|~spl0_0),
% 0.09/0.36 inference(forward_demodulation,[status(thm)],[f700,f489])).
% 0.09/0.36 fof(f738,plain,(
% 0.09/0.36 $false|~spl0_38|~spl0_0),
% 0.09/0.36 inference(forward_subsumption_resolution,[status(thm)],[f427,f726])).
% 0.09/0.36 fof(f739,plain,(
% 0.09/0.36 ~spl0_38|~spl0_0),
% 0.09/0.36 inference(contradiction_clause,[status(thm)],[f738])).
% 0.09/0.36 fof(f740,plain,(
% 0.09/0.36 $false),
% 0.09/0.36 inference(sat_refutation,[status(thm)],[f440,f444,f484,f520,f532,f537,f596,f612,f617,f636,f686,f703,f705,f715,f721,f739])).
% 0.09/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.37 % Elapsed time: 0.028384 seconds
% 0.09/0.37 % CPU time: 0.059164 seconds
% 0.09/0.37 % Total memory used: 17.218 MB
% 0.09/0.37 % Net memory used: 17.183 MB
%------------------------------------------------------------------------------