TSTP Solution File: SWC419+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC419+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n004.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 20:45:43 EDT 2024
% Result : Theorem 0.21s 0.41s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWC419+1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n004.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 : Mon Apr 29 23:54:03 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.37 % Drodi V3.6.0
% 0.21/0.41 % Refutation found
% 0.21/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.21/0.41 fof(f16,axiom,(
% 0.21/0.41 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> ssList(cons(V,U)) ) )) )),
% 0.21/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.41 fof(f17,axiom,(
% 0.21/0.41 ssList(nil) ),
% 0.21/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.41 fof(f28,axiom,(
% 0.21/0.41 (! [U] :( ssList(U)=> app(nil,U) = U ) )),
% 0.21/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.41 fof(f84,axiom,(
% 0.21/0.41 (! [U] :( ssList(U)=> app(U,nil) = U ) )),
% 0.21/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.41 fof(f96,conjecture,(
% 0.21/0.41 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ~ ssList(X)| V != X| U != W| ~ neq(V,nil)| (? [Y] :( ssItem(Y)& (? [Z] :( ssList(Z)& (? [X1] :( ssList(X1)& app(app(Z,cons(Y,nil)),X1) = V& app(app(X1,cons(Y,nil)),Z) = U ) )) )))| ( nil != W& nil = X )| ( (! [X2] :( ssItem(X2)=> (! [X3] :( ~ ssList(X3)| app(cons(X2,nil),X3) != X| app(X3,cons(X2,nil)) != W ) )))& neq(X,nil) ) ) )) )) )) )),
% 0.21/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.41 fof(f97,negated_conjecture,(
% 0.21/0.41 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ~ ssList(X)| V != X| U != W| ~ neq(V,nil)| (? [Y] :( ssItem(Y)& (? [Z] :( ssList(Z)& (? [X1] :( ssList(X1)& app(app(Z,cons(Y,nil)),X1) = V& app(app(X1,cons(Y,nil)),Z) = U ) )) )))| ( nil != W& nil = X )| ( (! [X2] :( ssItem(X2)=> (! [X3] :( ~ ssList(X3)| app(cons(X2,nil),X3) != X| app(X3,cons(X2,nil)) != W ) )))& neq(X,nil) ) ) )) )) )) ))),
% 0.21/0.41 inference(negated_conjecture,[status(cth)],[f96])).
% 0.21/0.41 fof(f221,plain,(
% 0.21/0.41 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|ssList(cons(V,U)))))),
% 0.21/0.41 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 0.21/0.41 fof(f222,plain,(
% 0.21/0.41 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|ssList(cons(X1,X0)))),
% 0.21/0.41 inference(cnf_transformation,[status(esa)],[f221])).
% 0.21/0.41 fof(f223,plain,(
% 0.21/0.41 ssList(nil)),
% 0.21/0.41 inference(cnf_transformation,[status(esa)],[f17])).
% 0.21/0.41 fof(f248,plain,(
% 0.21/0.41 ![U]: (~ssList(U)|app(nil,U)=U)),
% 0.21/0.41 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 0.21/0.41 fof(f249,plain,(
% 0.21/0.41 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.21/0.41 inference(cnf_transformation,[status(esa)],[f248])).
% 0.21/0.41 fof(f388,plain,(
% 0.21/0.41 ![U]: (~ssList(U)|app(U,nil)=U)),
% 0.21/0.41 inference(pre_NNF_transformation,[status(esa)],[f84])).
% 0.21/0.41 fof(f389,plain,(
% 0.21/0.41 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.21/0.41 inference(cnf_transformation,[status(esa)],[f388])).
% 0.21/0.41 fof(f415,plain,(
% 0.21/0.41 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: ((((((ssList(X)&V=X)&U=W)&neq(V,nil))&(![Y]: (~ssItem(Y)|(![Z]: (~ssList(Z)|(![X1]: ((~ssList(X1)|~app(app(Z,cons(Y,nil)),X1)=V)|~app(app(X1,cons(Y,nil)),Z)=U)))))))&(nil=W|~nil=X))&((?[X2]: (ssItem(X2)&(?[X3]: ((ssList(X3)&app(cons(X2,nil),X3)=X)&app(X3,cons(X2,nil))=W))))|~neq(X,nil))))))))))),
% 0.21/0.41 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.21/0.41 fof(f416,plain,(
% 0.21/0.41 (ssList(sk0_47)&(ssList(sk0_48)&(ssList(sk0_49)&((((((ssList(sk0_50)&sk0_48=sk0_50)&sk0_47=sk0_49)&neq(sk0_48,nil))&(![Y]: (~ssItem(Y)|(![Z]: (~ssList(Z)|(![X1]: ((~ssList(X1)|~app(app(Z,cons(Y,nil)),X1)=sk0_48)|~app(app(X1,cons(Y,nil)),Z)=sk0_47)))))))&(nil=sk0_49|~nil=sk0_50))&((ssItem(sk0_51)&((ssList(sk0_52)&app(cons(sk0_51,nil),sk0_52)=sk0_50)&app(sk0_52,cons(sk0_51,nil))=sk0_49))|~neq(sk0_50,nil))))))),
% 0.21/0.41 inference(skolemization,[status(esa)],[f415])).
% 0.21/0.41 fof(f417,plain,(
% 0.21/0.41 ssList(sk0_47)),
% 0.21/0.41 inference(cnf_transformation,[status(esa)],[f416])).
% 0.21/0.41 fof(f421,plain,(
% 0.21/0.41 sk0_48=sk0_50),
% 0.21/0.41 inference(cnf_transformation,[status(esa)],[f416])).
% 0.21/0.41 fof(f422,plain,(
% 0.21/0.41 sk0_47=sk0_49),
% 0.21/0.41 inference(cnf_transformation,[status(esa)],[f416])).
% 0.21/0.41 fof(f423,plain,(
% 0.21/0.41 neq(sk0_48,nil)),
% 0.21/0.41 inference(cnf_transformation,[status(esa)],[f416])).
% 0.21/0.41 fof(f424,plain,(
% 0.21/0.41 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk0_48|~app(app(X2,cons(X0,nil)),X1)=sk0_47)),
% 0.21/0.41 inference(cnf_transformation,[status(esa)],[f416])).
% 0.21/0.41 fof(f426,plain,(
% 0.21/0.41 ssItem(sk0_51)|~neq(sk0_50,nil)),
% 0.21/0.41 inference(cnf_transformation,[status(esa)],[f416])).
% 0.21/0.41 fof(f427,plain,(
% 0.21/0.41 ssList(sk0_52)|~neq(sk0_50,nil)),
% 0.21/0.41 inference(cnf_transformation,[status(esa)],[f416])).
% 0.21/0.42 fof(f428,plain,(
% 0.21/0.42 app(cons(sk0_51,nil),sk0_52)=sk0_50|~neq(sk0_50,nil)),
% 0.21/0.42 inference(cnf_transformation,[status(esa)],[f416])).
% 0.21/0.42 fof(f429,plain,(
% 0.21/0.42 app(sk0_52,cons(sk0_51,nil))=sk0_49|~neq(sk0_50,nil)),
% 0.21/0.42 inference(cnf_transformation,[status(esa)],[f416])).
% 0.21/0.42 fof(f437,plain,(
% 0.21/0.42 spl0_2 <=> ssItem(sk0_51)),
% 0.21/0.42 introduced(split_symbol_definition)).
% 0.21/0.42 fof(f438,plain,(
% 0.21/0.42 ssItem(sk0_51)|~spl0_2),
% 0.21/0.42 inference(component_clause,[status(thm)],[f437])).
% 0.21/0.42 fof(f440,plain,(
% 0.21/0.42 spl0_3 <=> neq(sk0_50,nil)),
% 0.21/0.42 introduced(split_symbol_definition)).
% 0.21/0.42 fof(f442,plain,(
% 0.21/0.42 ~neq(sk0_50,nil)|spl0_3),
% 0.21/0.42 inference(component_clause,[status(thm)],[f440])).
% 0.21/0.42 fof(f443,plain,(
% 0.21/0.42 spl0_2|~spl0_3),
% 0.21/0.42 inference(split_clause,[status(thm)],[f426,f437,f440])).
% 0.21/0.42 fof(f444,plain,(
% 0.21/0.42 spl0_4 <=> ssList(sk0_52)),
% 0.21/0.42 introduced(split_symbol_definition)).
% 0.21/0.42 fof(f447,plain,(
% 0.21/0.42 spl0_4|~spl0_3),
% 0.21/0.42 inference(split_clause,[status(thm)],[f427,f444,f440])).
% 0.21/0.42 fof(f448,plain,(
% 0.21/0.42 spl0_5 <=> app(cons(sk0_51,nil),sk0_52)=sk0_50),
% 0.21/0.42 introduced(split_symbol_definition)).
% 0.21/0.42 fof(f449,plain,(
% 0.21/0.42 app(cons(sk0_51,nil),sk0_52)=sk0_50|~spl0_5),
% 0.21/0.42 inference(component_clause,[status(thm)],[f448])).
% 0.21/0.42 fof(f451,plain,(
% 0.21/0.42 spl0_5|~spl0_3),
% 0.21/0.42 inference(split_clause,[status(thm)],[f428,f448,f440])).
% 0.21/0.42 fof(f452,plain,(
% 0.21/0.42 spl0_6 <=> app(sk0_52,cons(sk0_51,nil))=sk0_49),
% 0.21/0.42 introduced(split_symbol_definition)).
% 0.21/0.42 fof(f453,plain,(
% 0.21/0.42 app(sk0_52,cons(sk0_51,nil))=sk0_49|~spl0_6),
% 0.21/0.42 inference(component_clause,[status(thm)],[f452])).
% 0.21/0.42 fof(f455,plain,(
% 0.21/0.42 spl0_6|~spl0_3),
% 0.21/0.42 inference(split_clause,[status(thm)],[f429,f452,f440])).
% 0.21/0.42 fof(f489,plain,(
% 0.21/0.42 ~neq(sk0_48,nil)|spl0_3),
% 0.21/0.42 inference(forward_demodulation,[status(thm)],[f421,f442])).
% 0.21/0.42 fof(f490,plain,(
% 0.21/0.42 $false|spl0_3),
% 0.21/0.42 inference(forward_subsumption_resolution,[status(thm)],[f489,f423])).
% 0.21/0.42 fof(f491,plain,(
% 0.21/0.42 spl0_3),
% 0.21/0.42 inference(contradiction_clause,[status(thm)],[f490])).
% 0.21/0.42 fof(f492,plain,(
% 0.21/0.42 app(cons(sk0_51,nil),sk0_52)=sk0_48|~spl0_5),
% 0.21/0.42 inference(forward_demodulation,[status(thm)],[f421,f449])).
% 0.21/0.42 fof(f493,plain,(
% 0.21/0.42 app(sk0_52,cons(sk0_51,nil))=sk0_47|~spl0_6),
% 0.21/0.42 inference(forward_demodulation,[status(thm)],[f422,f453])).
% 0.21/0.42 fof(f495,plain,(
% 0.21/0.42 spl0_7 <=> ~ssList(X0)|~app(app(X0,cons(sk0_51,nil)),sk0_52)=sk0_48|~app(sk0_47,X0)=sk0_47),
% 0.21/0.42 introduced(split_symbol_definition)).
% 0.21/0.42 fof(f496,plain,(
% 0.21/0.42 ![X0]: (~ssList(X0)|~app(app(X0,cons(sk0_51,nil)),sk0_52)=sk0_48|~app(sk0_47,X0)=sk0_47|~spl0_7)),
% 0.21/0.42 inference(component_clause,[status(thm)],[f495])).
% 0.21/0.42 fof(f498,plain,(
% 0.21/0.42 ![X0]: (~ssItem(sk0_51)|~ssList(X0)|~ssList(sk0_52)|~app(app(X0,cons(sk0_51,nil)),sk0_52)=sk0_48|~app(sk0_47,X0)=sk0_47|~spl0_6)),
% 0.21/0.42 inference(paramodulation,[status(thm)],[f493,f424])).
% 0.21/0.42 fof(f499,plain,(
% 0.21/0.42 ~spl0_2|spl0_7|~spl0_4|~spl0_6),
% 0.21/0.42 inference(split_clause,[status(thm)],[f498,f437,f495,f444,f452])).
% 0.21/0.42 fof(f518,plain,(
% 0.21/0.42 app(sk0_47,nil)=sk0_47),
% 0.21/0.42 inference(resolution,[status(thm)],[f389,f417])).
% 0.21/0.42 fof(f519,plain,(
% 0.21/0.42 spl0_10 <=> ssList(nil)),
% 0.21/0.42 introduced(split_symbol_definition)).
% 0.21/0.42 fof(f521,plain,(
% 0.21/0.42 ~ssList(nil)|spl0_10),
% 0.21/0.42 inference(component_clause,[status(thm)],[f519])).
% 0.21/0.42 fof(f522,plain,(
% 0.21/0.42 spl0_11 <=> app(app(nil,cons(sk0_51,nil)),sk0_52)=sk0_48),
% 0.21/0.42 introduced(split_symbol_definition)).
% 0.21/0.42 fof(f524,plain,(
% 0.21/0.42 ~app(app(nil,cons(sk0_51,nil)),sk0_52)=sk0_48|spl0_11),
% 0.21/0.42 inference(component_clause,[status(thm)],[f522])).
% 0.21/0.42 fof(f525,plain,(
% 0.21/0.42 ~ssList(nil)|~app(app(nil,cons(sk0_51,nil)),sk0_52)=sk0_48|~spl0_7),
% 0.21/0.42 inference(resolution,[status(thm)],[f518,f496])).
% 0.21/0.42 fof(f526,plain,(
% 0.21/0.42 ~spl0_10|~spl0_11|~spl0_7),
% 0.21/0.42 inference(split_clause,[status(thm)],[f525,f519,f522,f495])).
% 0.21/0.42 fof(f532,plain,(
% 0.21/0.42 $false|spl0_10),
% 0.21/0.42 inference(forward_subsumption_resolution,[status(thm)],[f521,f223])).
% 0.21/0.42 fof(f533,plain,(
% 0.21/0.42 spl0_10),
% 0.21/0.42 inference(contradiction_clause,[status(thm)],[f532])).
% 0.21/0.42 fof(f539,plain,(
% 0.21/0.42 ![X0]: (~ssList(X0)|ssList(cons(sk0_51,X0))|~spl0_2)),
% 0.21/0.42 inference(resolution,[status(thm)],[f222,f438])).
% 0.21/0.42 fof(f542,plain,(
% 0.21/0.42 ![X0]: (~ssList(X0)|app(nil,cons(sk0_51,X0))=cons(sk0_51,X0)|~spl0_2)),
% 0.21/0.42 inference(resolution,[status(thm)],[f539,f249])).
% 0.21/0.42 fof(f554,plain,(
% 0.21/0.42 app(nil,cons(sk0_51,nil))=cons(sk0_51,nil)|~spl0_2),
% 0.21/0.42 inference(resolution,[status(thm)],[f542,f223])).
% 0.21/0.42 fof(f558,plain,(
% 0.21/0.42 ~app(cons(sk0_51,nil),sk0_52)=sk0_48|~spl0_2|spl0_11),
% 0.21/0.42 inference(backward_demodulation,[status(thm)],[f554,f524])).
% 0.21/0.42 fof(f559,plain,(
% 0.21/0.42 ~sk0_48=sk0_48|~spl0_5|~spl0_2|spl0_11),
% 0.21/0.42 inference(forward_demodulation,[status(thm)],[f492,f558])).
% 0.21/0.42 fof(f560,plain,(
% 0.21/0.42 $false|~spl0_5|~spl0_2|spl0_11),
% 0.21/0.42 inference(trivial_equality_resolution,[status(esa)],[f559])).
% 0.21/0.42 fof(f561,plain,(
% 0.21/0.42 ~spl0_5|~spl0_2|spl0_11),
% 0.21/0.42 inference(contradiction_clause,[status(thm)],[f560])).
% 0.21/0.42 fof(f562,plain,(
% 0.21/0.42 $false),
% 0.21/0.42 inference(sat_refutation,[status(thm)],[f443,f447,f451,f455,f491,f499,f526,f533,f561])).
% 0.21/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.43 % Elapsed time: 0.067804 seconds
% 0.21/0.43 % CPU time: 0.386822 seconds
% 0.21/0.43 % Total memory used: 69.836 MB
% 0.21/0.43 % Net memory used: 69.709 MB
%------------------------------------------------------------------------------