TSTP Solution File: SWC217+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC217+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.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 12:39:42 EDT 2023
% Result : Theorem 0.15s 0.33s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SWC217+1 : TPTP v8.1.2. Released v2.4.0.
% 0.05/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n010.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue May 30 11:11:22 EDT 2023
% 0.15/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.5.1
% 0.15/0.33 % Refutation found
% 0.15/0.33 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.33 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.33 fof(f15,axiom,(
% 0.15/0.33 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f17,axiom,(
% 0.15/0.33 ssList(nil) ),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f18,axiom,(
% 0.15/0.33 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> cons(V,U) != U ) )) )),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f96,conjecture,(
% 0.15/0.33 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ~ neq(V,nil)| neq(U,nil)| ( nil != W& nil = X )| ( (! [Y] :( ssItem(Y)=> ( cons(Y,nil) != W| ~ memberP(X,Y) ) ))& neq(X,nil) ) ) ) )) )) )) )),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f97,negated_conjecture,(
% 0.15/0.33 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ~ neq(V,nil)| neq(U,nil)| ( nil != W& nil = X )| ( (! [Y] :( ssItem(Y)=> ( cons(Y,nil) != W| ~ memberP(X,Y) ) ))& neq(X,nil) ) ) ) )) )) )) ))),
% 0.15/0.33 inference(negated_conjecture,[status(cth)],[f96])).
% 0.15/0.33 fof(f217,plain,(
% 0.15/0.33 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.15/0.33 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.15/0.33 fof(f218,plain,(
% 0.15/0.33 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.15/0.33 inference(NNF_transformation,[status(esa)],[f217])).
% 0.15/0.33 fof(f220,plain,(
% 0.15/0.33 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f218])).
% 0.15/0.33 fof(f223,plain,(
% 0.15/0.33 ssList(nil)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f17])).
% 0.15/0.33 fof(f224,plain,(
% 0.15/0.33 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|~cons(V,U)=U)))),
% 0.15/0.33 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 0.15/0.33 fof(f225,plain,(
% 0.15/0.33 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|~cons(X1,X0)=X0)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f224])).
% 0.15/0.33 fof(f415,plain,(
% 0.15/0.33 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((((V=X&U=W)&neq(V,nil))&~neq(U,nil))&(nil=W|~nil=X))&((?[Y]: (ssItem(Y)&(cons(Y,nil)=W&memberP(X,Y))))|~neq(X,nil)))))))))))),
% 0.15/0.33 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.15/0.33 fof(f416,plain,(
% 0.15/0.33 (ssList(sk0_47)&(ssList(sk0_48)&(ssList(sk0_49)&(ssList(sk0_50)&(((((sk0_48=sk0_50&sk0_47=sk0_49)&neq(sk0_48,nil))&~neq(sk0_47,nil))&(nil=sk0_49|~nil=sk0_50))&((ssItem(sk0_51)&(cons(sk0_51,nil)=sk0_49&memberP(sk0_50,sk0_51)))|~neq(sk0_50,nil)))))))),
% 0.15/0.33 inference(skolemization,[status(esa)],[f415])).
% 0.15/0.33 fof(f417,plain,(
% 0.15/0.33 ssList(sk0_47)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f416])).
% 0.15/0.33 fof(f421,plain,(
% 0.15/0.33 sk0_48=sk0_50),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f416])).
% 0.15/0.33 fof(f422,plain,(
% 0.15/0.33 sk0_47=sk0_49),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f416])).
% 0.15/0.33 fof(f423,plain,(
% 0.15/0.33 neq(sk0_48,nil)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f416])).
% 0.15/0.33 fof(f424,plain,(
% 0.15/0.33 ~neq(sk0_47,nil)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f416])).
% 0.15/0.33 fof(f426,plain,(
% 0.15/0.33 ssItem(sk0_51)|~neq(sk0_50,nil)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f416])).
% 0.15/0.33 fof(f427,plain,(
% 0.15/0.33 cons(sk0_51,nil)=sk0_49|~neq(sk0_50,nil)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f416])).
% 0.15/0.33 fof(f436,plain,(
% 0.15/0.33 spl0_2 <=> ssItem(sk0_51)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f439,plain,(
% 0.15/0.33 spl0_3 <=> neq(sk0_50,nil)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f441,plain,(
% 0.15/0.33 ~neq(sk0_50,nil)|spl0_3),
% 0.15/0.33 inference(component_clause,[status(thm)],[f439])).
% 0.15/0.33 fof(f442,plain,(
% 0.15/0.33 spl0_2|~spl0_3),
% 0.15/0.33 inference(split_clause,[status(thm)],[f426,f436,f439])).
% 0.15/0.33 fof(f443,plain,(
% 0.15/0.33 spl0_4 <=> cons(sk0_51,nil)=sk0_49),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f444,plain,(
% 0.15/0.33 cons(sk0_51,nil)=sk0_49|~spl0_4),
% 0.15/0.33 inference(component_clause,[status(thm)],[f443])).
% 0.15/0.33 fof(f446,plain,(
% 0.15/0.33 spl0_4|~spl0_3),
% 0.15/0.33 inference(split_clause,[status(thm)],[f427,f443,f439])).
% 0.15/0.33 fof(f489,plain,(
% 0.15/0.33 spl0_8 <=> sk0_47=nil),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f490,plain,(
% 0.15/0.33 sk0_47=nil|~spl0_8),
% 0.15/0.33 inference(component_clause,[status(thm)],[f489])).
% 0.15/0.33 fof(f494,plain,(
% 0.16/0.55 spl0_9 <=> ssList(sk0_47)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f496,plain,(
% 0.16/0.55 ~ssList(sk0_47)|spl0_9),
% 0.16/0.55 inference(component_clause,[status(thm)],[f494])).
% 0.16/0.55 fof(f497,plain,(
% 0.16/0.55 spl0_10 <=> ssList(nil)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f499,plain,(
% 0.16/0.55 ~ssList(nil)|spl0_10),
% 0.16/0.55 inference(component_clause,[status(thm)],[f497])).
% 0.16/0.55 fof(f500,plain,(
% 0.16/0.55 ~ssList(sk0_47)|~ssList(nil)|sk0_47=nil),
% 0.16/0.55 inference(resolution,[status(thm)],[f220,f424])).
% 0.16/0.55 fof(f501,plain,(
% 0.16/0.55 ~spl0_9|~spl0_10|spl0_8),
% 0.16/0.55 inference(split_clause,[status(thm)],[f500,f494,f497,f489])).
% 0.16/0.55 fof(f502,plain,(
% 0.16/0.55 $false|spl0_10),
% 0.16/0.55 inference(forward_subsumption_resolution,[status(thm)],[f499,f223])).
% 0.16/0.55 fof(f503,plain,(
% 0.16/0.55 spl0_10),
% 0.16/0.55 inference(contradiction_clause,[status(thm)],[f502])).
% 0.16/0.55 fof(f504,plain,(
% 0.16/0.55 $false|spl0_9),
% 0.16/0.55 inference(forward_subsumption_resolution,[status(thm)],[f496,f417])).
% 0.16/0.55 fof(f505,plain,(
% 0.16/0.55 spl0_9),
% 0.16/0.55 inference(contradiction_clause,[status(thm)],[f504])).
% 0.16/0.55 fof(f506,plain,(
% 0.16/0.55 spl0_11 <=> ~ssList(X0)|~ssList(X0)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f507,plain,(
% 0.16/0.55 ![X0]: (~ssList(X0)|~ssList(X0)|~spl0_11)),
% 0.16/0.55 inference(component_clause,[status(thm)],[f506])).
% 0.16/0.55 fof(f514,plain,(
% 0.16/0.55 ![X0]: (~ssList(X0)|~spl0_11)),
% 0.16/0.55 inference(duplicate_literals_removal,[status(esa)],[f507])).
% 0.16/0.55 fof(f517,plain,(
% 0.16/0.55 nil=sk0_49|~spl0_8),
% 0.16/0.55 inference(backward_demodulation,[status(thm)],[f490,f422])).
% 0.16/0.55 fof(f519,plain,(
% 0.16/0.55 ~neq(sk0_48,nil)|spl0_3),
% 0.16/0.55 inference(forward_demodulation,[status(thm)],[f421,f441])).
% 0.16/0.55 fof(f520,plain,(
% 0.16/0.55 $false|spl0_3),
% 0.16/0.55 inference(forward_subsumption_resolution,[status(thm)],[f519,f423])).
% 0.16/0.55 fof(f521,plain,(
% 0.16/0.55 spl0_3),
% 0.16/0.55 inference(contradiction_clause,[status(thm)],[f520])).
% 0.16/0.55 fof(f522,plain,(
% 0.16/0.55 cons(sk0_51,nil)=nil|~spl0_8|~spl0_4),
% 0.16/0.55 inference(forward_demodulation,[status(thm)],[f517,f444])).
% 0.16/0.55 fof(f532,plain,(
% 0.16/0.55 $false|~spl0_11),
% 0.16/0.55 inference(backward_subsumption_resolution,[status(thm)],[f223,f514])).
% 0.16/0.55 fof(f533,plain,(
% 0.16/0.55 ~spl0_11),
% 0.16/0.55 inference(contradiction_clause,[status(thm)],[f532])).
% 0.16/0.55 fof(f534,plain,(
% 0.16/0.55 ~ssList(nil)|~ssItem(sk0_51)|~spl0_8|~spl0_4),
% 0.16/0.55 inference(resolution,[status(thm)],[f225,f522])).
% 0.16/0.55 fof(f535,plain,(
% 0.16/0.55 ~spl0_10|~spl0_2|~spl0_8|~spl0_4),
% 0.16/0.55 inference(split_clause,[status(thm)],[f534,f497,f436,f489,f443])).
% 0.16/0.55 fof(f538,plain,(
% 0.16/0.55 $false),
% 0.16/0.55 inference(sat_refutation,[status(thm)],[f442,f446,f501,f503,f505,f521,f533,f535])).
% 0.16/0.55 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.55 % Elapsed time: 0.020269 seconds
% 0.16/0.55 % CPU time: 0.018928 seconds
% 0.16/0.55 % Memory used: 4.089 MB
%------------------------------------------------------------------------------