TSTP Solution File: SWC381+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC381+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.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 12:40:16 EDT 2023
% Result : Theorem 0.21s 0.38s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWC381+1 : TPTP v8.1.2. Released v2.4.0.
% 0.14/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n011.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue May 30 11:20:12 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.36 % Drodi V3.5.1
% 0.21/0.38 % Refutation found
% 0.21/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.21/0.38 fof(f4,axiom,(
% 0.21/0.38 (! [U] :( ssList(U)=> ( singletonP(U)<=> (? [V] :( ssItem(V)& cons(V,nil) = U ) )) ) )),
% 0.21/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.38 fof(f15,axiom,(
% 0.21/0.38 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.21/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.38 fof(f16,axiom,(
% 0.21/0.38 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> ssList(cons(V,U)) ) )) )),
% 0.21/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.38 fof(f17,axiom,(
% 0.21/0.38 ssList(nil) ),
% 0.21/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.38 fof(f28,axiom,(
% 0.21/0.38 (! [U] :( ssList(U)=> app(nil,U) = U ) )),
% 0.21/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.38 fof(f36,axiom,(
% 0.21/0.38 (! [U] :( ssItem(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( memberP(app(V,W),U)<=> ( memberP(V,U)| memberP(W,U) ) ) ) )) )) )),
% 0.21/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.38 fof(f96,conjecture,(
% 0.21/0.38 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ( ( ~ neq(V,nil)| (? [Y] :( ssItem(Y)& cons(Y,nil) = U& memberP(V,Y) ))| (! [Z] :( ssItem(Z)=> ( cons(Z,nil) != W| ~ memberP(X,Z) ) ) ))& ( ~ neq(V,nil)| neq(X,nil) ) ) ) ) )) )) )) )),
% 0.21/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.38 fof(f97,negated_conjecture,(
% 0.21/0.38 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ( ( ~ neq(V,nil)| (? [Y] :( ssItem(Y)& cons(Y,nil) = U& memberP(V,Y) ))| (! [Z] :( ssItem(Z)=> ( cons(Z,nil) != W| ~ memberP(X,Z) ) ) ))& ( ~ neq(V,nil)| neq(X,nil) ) ) ) ) )) )) )) ))),
% 0.21/0.38 inference(negated_conjecture,[status(cth)],[f96])).
% 0.21/0.38 fof(f113,plain,(
% 0.21/0.38 ![U]: (~ssList(U)|(singletonP(U)<=>(?[V]: (ssItem(V)&cons(V,nil)=U))))),
% 0.21/0.38 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.21/0.38 fof(f114,plain,(
% 0.21/0.38 ![U]: (~ssList(U)|((~singletonP(U)|(?[V]: (ssItem(V)&cons(V,nil)=U)))&(singletonP(U)|(![V]: (~ssItem(V)|~cons(V,nil)=U)))))),
% 0.21/0.38 inference(NNF_transformation,[status(esa)],[f113])).
% 0.21/0.38 fof(f115,plain,(
% 0.21/0.38 ![U]: (~ssList(U)|((~singletonP(U)|(ssItem(sk0_4(U))&cons(sk0_4(U),nil)=U))&(singletonP(U)|(![V]: (~ssItem(V)|~cons(V,nil)=U)))))),
% 0.21/0.38 inference(skolemization,[status(esa)],[f114])).
% 0.21/0.38 fof(f118,plain,(
% 0.21/0.38 ![X0,X1]: (~ssList(X0)|singletonP(X0)|~ssItem(X1)|~cons(X1,nil)=X0)),
% 0.21/0.38 inference(cnf_transformation,[status(esa)],[f115])).
% 0.21/0.38 fof(f217,plain,(
% 0.21/0.38 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.21/0.38 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.21/0.38 fof(f218,plain,(
% 0.21/0.38 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.21/0.38 inference(NNF_transformation,[status(esa)],[f217])).
% 0.21/0.38 fof(f219,plain,(
% 0.21/0.38 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~neq(X0,X1)|~X0=X1)),
% 0.21/0.38 inference(cnf_transformation,[status(esa)],[f218])).
% 0.21/0.38 fof(f220,plain,(
% 0.21/0.38 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 0.21/0.38 inference(cnf_transformation,[status(esa)],[f218])).
% 0.21/0.38 fof(f221,plain,(
% 0.21/0.38 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|ssList(cons(V,U)))))),
% 0.21/0.38 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 0.21/0.38 fof(f222,plain,(
% 0.21/0.38 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|ssList(cons(X1,X0)))),
% 0.21/0.38 inference(cnf_transformation,[status(esa)],[f221])).
% 0.21/0.38 fof(f223,plain,(
% 0.21/0.38 ssList(nil)),
% 0.21/0.38 inference(cnf_transformation,[status(esa)],[f17])).
% 0.21/0.38 fof(f248,plain,(
% 0.21/0.38 ![U]: (~ssList(U)|app(nil,U)=U)),
% 0.21/0.38 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 0.21/0.38 fof(f249,plain,(
% 0.21/0.38 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.21/0.38 inference(cnf_transformation,[status(esa)],[f248])).
% 0.21/0.38 fof(f268,plain,(
% 0.21/0.38 ![U]: (~ssItem(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|(memberP(app(V,W),U)<=>(memberP(V,U)|memberP(W,U))))))))),
% 0.21/0.38 inference(pre_NNF_transformation,[status(esa)],[f36])).
% 0.21/0.38 fof(f269,plain,(
% 0.21/0.38 ![U]: (~ssItem(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|((~memberP(app(V,W),U)|(memberP(V,U)|memberP(W,U)))&(memberP(app(V,W),U)|(~memberP(V,U)&~memberP(W,U)))))))))),
% 0.21/0.38 inference(NNF_transformation,[status(esa)],[f268])).
% 0.21/0.38 fof(f270,plain,(
% 0.21/0.38 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~memberP(app(X1,X2),X0)|memberP(X1,X0)|memberP(X2,X0))),
% 0.21/0.38 inference(cnf_transformation,[status(esa)],[f269])).
% 0.21/0.38 fof(f415,plain,(
% 0.21/0.38 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((V=X&U=W)&(((neq(V,nil)&(![Y]: ((~ssItem(Y)|~cons(Y,nil)=U)|~memberP(V,Y))))&(?[Z]: (ssItem(Z)&(cons(Z,nil)=W&memberP(X,Z)))))|(neq(V,nil)&~neq(X,nil))))))))))))),
% 0.21/0.38 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.21/0.38 fof(f416,plain,(
% 0.21/0.38 ![U,V,W,X]: (pd0_0(X,W,V,U)=>((neq(V,nil)&(![Y]: ((~ssItem(Y)|~cons(Y,nil)=U)|~memberP(V,Y))))&(?[Z]: (ssItem(Z)&(cons(Z,nil)=W&memberP(X,Z))))))),
% 0.21/0.38 introduced(predicate_definition,[f415])).
% 0.21/0.38 fof(f417,plain,(
% 0.21/0.38 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((V=X&U=W)&(pd0_0(X,W,V,U)|(neq(V,nil)&~neq(X,nil)))))))))))),
% 0.21/0.38 inference(formula_renaming,[status(thm)],[f415,f416])).
% 0.21/0.38 fof(f418,plain,(
% 0.21/0.38 (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_49,sk0_48,sk0_47)|(neq(sk0_48,nil)&~neq(sk0_50,nil))))))))),
% 0.21/0.38 inference(skolemization,[status(esa)],[f417])).
% 0.21/0.38 fof(f419,plain,(
% 0.21/0.38 ssList(sk0_47)),
% 0.21/0.38 inference(cnf_transformation,[status(esa)],[f418])).
% 0.21/0.38 fof(f420,plain,(
% 0.21/0.38 ssList(sk0_48)),
% 0.21/0.38 inference(cnf_transformation,[status(esa)],[f418])).
% 0.21/0.38 fof(f423,plain,(
% 0.21/0.38 sk0_48=sk0_50),
% 0.21/0.38 inference(cnf_transformation,[status(esa)],[f418])).
% 0.21/0.38 fof(f424,plain,(
% 0.21/0.38 sk0_47=sk0_49),
% 0.21/0.38 inference(cnf_transformation,[status(esa)],[f418])).
% 0.21/0.38 fof(f425,plain,(
% 0.21/0.38 pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)|neq(sk0_48,nil)),
% 0.21/0.38 inference(cnf_transformation,[status(esa)],[f418])).
% 0.21/0.38 fof(f426,plain,(
% 0.21/0.38 pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)|~neq(sk0_50,nil)),
% 0.21/0.38 inference(cnf_transformation,[status(esa)],[f418])).
% 0.21/0.38 fof(f427,plain,(
% 0.21/0.38 ![U,V,W,X]: (~pd0_0(X,W,V,U)|((neq(V,nil)&(![Y]: ((~ssItem(Y)|~cons(Y,nil)=U)|~memberP(V,Y))))&(?[Z]: (ssItem(Z)&(cons(Z,nil)=W&memberP(X,Z))))))),
% 0.21/0.38 inference(pre_NNF_transformation,[status(esa)],[f416])).
% 0.21/0.38 fof(f428,plain,(
% 0.21/0.38 ![U,V,W,X]: (~pd0_0(X,W,V,U)|((neq(V,nil)&(![Y]: ((~ssItem(Y)|~cons(Y,nil)=U)|~memberP(V,Y))))&(ssItem(sk0_51(X,W,V,U))&(cons(sk0_51(X,W,V,U),nil)=W&memberP(X,sk0_51(X,W,V,U))))))),
% 0.21/0.38 inference(skolemization,[status(esa)],[f427])).
% 0.21/0.38 fof(f429,plain,(
% 0.21/0.38 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|neq(X2,nil))),
% 0.21/0.38 inference(cnf_transformation,[status(esa)],[f428])).
% 0.21/0.38 fof(f430,plain,(
% 0.21/0.38 ![X0,X1,X2,X3,X4]: (~pd0_0(X0,X1,X2,X3)|~ssItem(X4)|~cons(X4,nil)=X3|~memberP(X2,X4))),
% 0.21/0.38 inference(cnf_transformation,[status(esa)],[f428])).
% 0.21/0.38 fof(f431,plain,(
% 0.21/0.38 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|ssItem(sk0_51(X0,X1,X2,X3)))),
% 0.21/0.38 inference(cnf_transformation,[status(esa)],[f428])).
% 0.21/0.38 fof(f432,plain,(
% 0.21/0.38 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|cons(sk0_51(X0,X1,X2,X3),nil)=X1)),
% 0.21/0.38 inference(cnf_transformation,[status(esa)],[f428])).
% 0.21/0.38 fof(f433,plain,(
% 0.21/0.38 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|memberP(X0,sk0_51(X0,X1,X2,X3)))),
% 0.21/0.38 inference(cnf_transformation,[status(esa)],[f428])).
% 0.21/0.38 fof(f434,plain,(
% 0.21/0.38 spl0_0 <=> pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)),
% 0.21/0.38 introduced(split_symbol_definition)).
% 0.21/0.38 fof(f435,plain,(
% 0.21/0.38 pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)|~spl0_0),
% 0.21/0.38 inference(component_clause,[status(thm)],[f434])).
% 0.21/0.38 fof(f437,plain,(
% 0.21/0.38 spl0_1 <=> neq(sk0_48,nil)),
% 0.21/0.38 introduced(split_symbol_definition)).
% 0.21/0.38 fof(f438,plain,(
% 0.21/0.38 neq(sk0_48,nil)|~spl0_1),
% 0.21/0.38 inference(component_clause,[status(thm)],[f437])).
% 0.21/0.38 fof(f440,plain,(
% 0.21/0.38 spl0_0|spl0_1),
% 0.21/0.38 inference(split_clause,[status(thm)],[f425,f434,f437])).
% 0.21/0.38 fof(f441,plain,(
% 0.21/0.38 spl0_2 <=> neq(sk0_50,nil)),
% 0.21/0.38 introduced(split_symbol_definition)).
% 0.21/0.38 fof(f443,plain,(
% 0.21/0.38 ~neq(sk0_50,nil)|spl0_2),
% 0.21/0.38 inference(component_clause,[status(thm)],[f441])).
% 0.21/0.38 fof(f444,plain,(
% 0.21/0.38 spl0_0|~spl0_2),
% 0.21/0.38 inference(split_clause,[status(thm)],[f426,f434,f441])).
% 0.21/0.38 fof(f448,plain,(
% 0.21/0.38 ![X0]: (~ssList(cons(X0,nil))|singletonP(cons(X0,nil))|~ssItem(X0))),
% 0.21/0.38 inference(destructive_equality_resolution,[status(esa)],[f118])).
% 0.21/0.38 fof(f460,plain,(
% 0.21/0.38 ![X1]: (~ssList(X1)|~ssList(X1)|~neq(X1,X1))),
% 0.21/0.38 inference(destructive_equality_resolution,[status(esa)],[f219])).
% 0.21/0.38 fof(f461,plain,(
% 0.21/0.38 ![X0]: (~ssList(X0)|~neq(X0,X0))),
% 0.21/0.38 inference(duplicate_literals_removal,[status(esa)],[f460])).
% 0.21/0.38 fof(f475,plain,(
% 0.21/0.38 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,cons(X3,nil))|~ssItem(X3)|~memberP(X2,X3))),
% 0.21/0.38 inference(destructive_equality_resolution,[status(esa)],[f430])).
% 0.21/0.38 fof(f504,plain,(
% 0.21/0.38 ~neq(sk0_48,nil)|spl0_2),
% 0.21/0.38 inference(forward_demodulation,[status(thm)],[f423,f443])).
% 0.21/0.38 fof(f505,plain,(
% 0.21/0.38 spl0_7 <=> ssList(sk0_48)),
% 0.21/0.38 introduced(split_symbol_definition)).
% 0.21/0.38 fof(f507,plain,(
% 0.21/0.38 ~ssList(sk0_48)|spl0_7),
% 0.21/0.38 inference(component_clause,[status(thm)],[f505])).
% 0.21/0.38 fof(f508,plain,(
% 0.21/0.38 spl0_8 <=> ssList(nil)),
% 0.21/0.38 introduced(split_symbol_definition)).
% 0.21/0.38 fof(f510,plain,(
% 0.21/0.38 ~ssList(nil)|spl0_8),
% 0.21/0.38 inference(component_clause,[status(thm)],[f508])).
% 0.21/0.38 fof(f511,plain,(
% 0.21/0.38 spl0_9 <=> sk0_48=nil),
% 0.21/0.38 introduced(split_symbol_definition)).
% 0.21/0.38 fof(f512,plain,(
% 0.21/0.38 sk0_48=nil|~spl0_9),
% 0.21/0.38 inference(component_clause,[status(thm)],[f511])).
% 0.21/0.38 fof(f514,plain,(
% 0.21/0.38 ~ssList(sk0_48)|~ssList(nil)|sk0_48=nil|spl0_2),
% 0.21/0.38 inference(resolution,[status(thm)],[f504,f220])).
% 0.21/0.38 fof(f515,plain,(
% 0.21/0.38 ~spl0_7|~spl0_8|spl0_9|spl0_2),
% 0.21/0.38 inference(split_clause,[status(thm)],[f514,f505,f508,f511,f441])).
% 0.21/0.38 fof(f516,plain,(
% 0.21/0.38 $false|spl0_8),
% 0.21/0.38 inference(forward_subsumption_resolution,[status(thm)],[f510,f223])).
% 0.21/0.38 fof(f517,plain,(
% 0.21/0.38 spl0_8),
% 0.21/0.38 inference(contradiction_clause,[status(thm)],[f516])).
% 0.21/0.38 fof(f518,plain,(
% 0.21/0.38 $false|spl0_7),
% 0.21/0.38 inference(forward_subsumption_resolution,[status(thm)],[f507,f420])).
% 0.21/0.38 fof(f519,plain,(
% 0.21/0.38 spl0_7),
% 0.21/0.38 inference(contradiction_clause,[status(thm)],[f518])).
% 0.21/0.38 fof(f520,plain,(
% 0.21/0.38 nil=sk0_50|~spl0_9),
% 0.21/0.38 inference(backward_demodulation,[status(thm)],[f512,f423])).
% 0.21/0.38 fof(f522,plain,(
% 0.21/0.38 pd0_0(nil,sk0_49,sk0_48,sk0_47)|~spl0_9|~spl0_0),
% 0.21/0.38 inference(forward_demodulation,[status(thm)],[f520,f435])).
% 0.21/0.38 fof(f523,plain,(
% 0.21/0.38 pd0_0(nil,sk0_47,sk0_48,sk0_47)|~spl0_9|~spl0_0),
% 0.21/0.38 inference(forward_demodulation,[status(thm)],[f424,f522])).
% 0.21/0.38 fof(f524,plain,(
% 0.21/0.38 pd0_0(nil,sk0_47,nil,sk0_47)|~spl0_9|~spl0_0),
% 0.21/0.38 inference(forward_demodulation,[status(thm)],[f512,f523])).
% 0.21/0.38 fof(f525,plain,(
% 0.21/0.38 neq(nil,nil)|~spl0_9|~spl0_0),
% 0.21/0.38 inference(resolution,[status(thm)],[f524,f429])).
% 0.21/0.38 fof(f526,plain,(
% 0.21/0.38 ~ssList(nil)|~spl0_9|~spl0_0),
% 0.21/0.38 inference(resolution,[status(thm)],[f525,f461])).
% 0.21/0.38 fof(f527,plain,(
% 0.21/0.38 ~spl0_8|~spl0_9|~spl0_0),
% 0.21/0.38 inference(split_clause,[status(thm)],[f526,f508,f511,f434])).
% 0.21/0.38 fof(f528,plain,(
% 0.21/0.38 neq(nil,nil)|~spl0_9|~spl0_1),
% 0.21/0.38 inference(forward_demodulation,[status(thm)],[f512,f438])).
% 0.21/0.38 fof(f533,plain,(
% 0.21/0.38 ~ssList(nil)|~spl0_9|~spl0_1),
% 0.21/0.38 inference(resolution,[status(thm)],[f528,f461])).
% 0.21/0.38 fof(f534,plain,(
% 0.21/0.38 ~spl0_8|~spl0_9|~spl0_1),
% 0.21/0.38 inference(split_clause,[status(thm)],[f533,f508,f511,f437])).
% 0.21/0.38 fof(f535,plain,(
% 0.21/0.38 pd0_0(sk0_50,sk0_47,sk0_48,sk0_47)|~spl0_0),
% 0.21/0.38 inference(forward_demodulation,[status(thm)],[f424,f435])).
% 0.21/0.38 fof(f537,plain,(
% 0.21/0.38 pd0_0(sk0_48,sk0_47,sk0_48,sk0_47)|~spl0_0),
% 0.21/0.38 inference(backward_demodulation,[status(thm)],[f423,f535])).
% 0.21/0.38 fof(f539,plain,(
% 0.21/0.38 ssItem(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47))|~spl0_0),
% 0.21/0.38 inference(resolution,[status(thm)],[f431,f537])).
% 0.21/0.38 fof(f598,plain,(
% 0.21/0.38 spl0_17 <=> ssItem(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47))),
% 0.21/0.38 introduced(split_symbol_definition)).
% 0.21/0.38 fof(f600,plain,(
% 0.21/0.38 ~ssItem(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47))|spl0_17),
% 0.21/0.38 inference(component_clause,[status(thm)],[f598])).
% 0.21/0.38 fof(f611,plain,(
% 0.21/0.38 memberP(sk0_48,sk0_51(sk0_48,sk0_47,sk0_48,sk0_47))|~spl0_0),
% 0.21/0.38 inference(resolution,[status(thm)],[f433,f537])).
% 0.21/0.38 fof(f612,plain,(
% 0.21/0.38 cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil)=sk0_47|~spl0_0),
% 0.21/0.38 inference(resolution,[status(thm)],[f432,f537])).
% 0.21/0.38 fof(f640,plain,(
% 0.21/0.38 app(nil,sk0_48)=sk0_48),
% 0.21/0.38 inference(resolution,[status(thm)],[f249,f420])).
% 0.21/0.38 fof(f644,plain,(
% 0.21/0.38 app(nil,nil)=nil),
% 0.21/0.38 inference(resolution,[status(thm)],[f249,f223])).
% 0.21/0.38 fof(f645,plain,(
% 0.21/0.38 app(nil,sk0_47)=sk0_47),
% 0.21/0.38 inference(resolution,[status(thm)],[f249,f419])).
% 0.21/0.38 fof(f646,plain,(
% 0.21/0.38 spl0_18 <=> ~ssItem(X0)|~memberP(sk0_48,X0)|memberP(nil,X0)|memberP(sk0_48,X0)),
% 0.21/0.38 introduced(split_symbol_definition)).
% 0.21/0.38 fof(f649,plain,(
% 0.21/0.38 ![X0]: (~ssItem(X0)|~ssList(nil)|~ssList(sk0_48)|~memberP(sk0_48,X0)|memberP(nil,X0)|memberP(sk0_48,X0))),
% 0.21/0.38 inference(paramodulation,[status(thm)],[f640,f270])).
% 0.21/0.38 fof(f650,plain,(
% 0.21/0.39 spl0_18|~spl0_8|~spl0_7),
% 0.21/0.39 inference(split_clause,[status(thm)],[f649,f646,f508,f505])).
% 0.21/0.39 fof(f651,plain,(
% 0.21/0.39 spl0_19 <=> ~ssItem(X0)|~memberP(nil,X0)|memberP(nil,X0)|memberP(nil,X0)),
% 0.21/0.39 introduced(split_symbol_definition)).
% 0.21/0.39 fof(f654,plain,(
% 0.21/0.39 ![X0]: (~ssItem(X0)|~ssList(nil)|~ssList(nil)|~memberP(nil,X0)|memberP(nil,X0)|memberP(nil,X0))),
% 0.21/0.39 inference(paramodulation,[status(thm)],[f644,f270])).
% 0.21/0.39 fof(f655,plain,(
% 0.21/0.39 spl0_19|~spl0_8),
% 0.21/0.39 inference(split_clause,[status(thm)],[f654,f651,f508])).
% 0.21/0.39 fof(f656,plain,(
% 0.21/0.39 spl0_20 <=> ~ssItem(X0)|~memberP(sk0_47,X0)|memberP(nil,X0)|memberP(sk0_47,X0)),
% 0.21/0.39 introduced(split_symbol_definition)).
% 0.21/0.39 fof(f659,plain,(
% 0.21/0.39 spl0_21 <=> ssList(sk0_47)),
% 0.21/0.39 introduced(split_symbol_definition)).
% 0.21/0.39 fof(f661,plain,(
% 0.21/0.39 ~ssList(sk0_47)|spl0_21),
% 0.21/0.39 inference(component_clause,[status(thm)],[f659])).
% 0.21/0.39 fof(f662,plain,(
% 0.21/0.39 ![X0]: (~ssItem(X0)|~ssList(nil)|~ssList(sk0_47)|~memberP(sk0_47,X0)|memberP(nil,X0)|memberP(sk0_47,X0))),
% 0.21/0.39 inference(paramodulation,[status(thm)],[f645,f270])).
% 0.21/0.39 fof(f663,plain,(
% 0.21/0.39 spl0_20|~spl0_8|~spl0_21),
% 0.21/0.39 inference(split_clause,[status(thm)],[f662,f656,f508,f659])).
% 0.21/0.39 fof(f664,plain,(
% 0.21/0.39 $false|spl0_21),
% 0.21/0.39 inference(forward_subsumption_resolution,[status(thm)],[f661,f419])).
% 0.21/0.39 fof(f665,plain,(
% 0.21/0.39 spl0_21),
% 0.21/0.39 inference(contradiction_clause,[status(thm)],[f664])).
% 0.21/0.39 fof(f674,plain,(
% 0.21/0.39 spl0_22 <=> singletonP(cons(X0,nil))|~ssItem(X0)|~ssItem(X0)),
% 0.21/0.39 introduced(split_symbol_definition)).
% 0.21/0.39 fof(f677,plain,(
% 0.21/0.39 ![X0]: (singletonP(cons(X0,nil))|~ssItem(X0)|~ssList(nil)|~ssItem(X0))),
% 0.21/0.39 inference(resolution,[status(thm)],[f448,f222])).
% 0.21/0.39 fof(f678,plain,(
% 0.21/0.39 spl0_22|~spl0_8),
% 0.21/0.39 inference(split_clause,[status(thm)],[f677,f674,f508])).
% 0.21/0.39 fof(f680,plain,(
% 0.21/0.39 spl0_23 <=> ~pd0_0(X0,X1,sk0_48,cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil))),
% 0.21/0.39 introduced(split_symbol_definition)).
% 0.21/0.39 fof(f681,plain,(
% 0.21/0.39 ![X0,X1]: (~pd0_0(X0,X1,sk0_48,cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil))|~spl0_23)),
% 0.21/0.39 inference(component_clause,[status(thm)],[f680])).
% 0.21/0.39 fof(f683,plain,(
% 0.21/0.39 ![X0,X1]: (~pd0_0(X0,X1,sk0_48,cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil))|~ssItem(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47))|~spl0_0)),
% 0.21/0.39 inference(resolution,[status(thm)],[f611,f475])).
% 0.21/0.39 fof(f684,plain,(
% 0.21/0.39 spl0_23|~spl0_17|~spl0_0),
% 0.21/0.39 inference(split_clause,[status(thm)],[f683,f680,f598,f434])).
% 0.21/0.39 fof(f695,plain,(
% 0.21/0.39 $false|~spl0_0|spl0_17),
% 0.21/0.39 inference(forward_subsumption_resolution,[status(thm)],[f600,f539])).
% 0.21/0.39 fof(f696,plain,(
% 0.21/0.39 ~spl0_0|spl0_17),
% 0.21/0.39 inference(contradiction_clause,[status(thm)],[f695])).
% 0.21/0.39 fof(f776,plain,(
% 0.21/0.39 ![X0,X1]: (~pd0_0(X0,X1,sk0_48,sk0_47)|~spl0_0|~spl0_23)),
% 0.21/0.39 inference(forward_demodulation,[status(thm)],[f612,f681])).
% 0.21/0.39 fof(f777,plain,(
% 0.21/0.39 $false|~spl0_23|~spl0_0),
% 0.21/0.39 inference(backward_subsumption_resolution,[status(thm)],[f537,f776])).
% 0.21/0.39 fof(f778,plain,(
% 0.21/0.39 ~spl0_23|~spl0_0),
% 0.21/0.39 inference(contradiction_clause,[status(thm)],[f777])).
% 0.21/0.39 fof(f779,plain,(
% 0.21/0.39 $false),
% 0.21/0.39 inference(sat_refutation,[status(thm)],[f440,f444,f515,f517,f519,f527,f534,f650,f655,f663,f665,f678,f684,f696,f778])).
% 0.21/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.39 % Elapsed time: 0.036660 seconds
% 0.21/0.39 % CPU time: 0.094520 seconds
% 0.21/0.39 % Memory used: 16.518 MB
%------------------------------------------------------------------------------