TSTP Solution File: SWC097+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC097+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 20:44:30 EDT 2024
% Result : Theorem 0.10s 0.36s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : SWC097+1 : TPTP v8.1.2. Released v2.4.0.
% 0.05/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.34 % Computer : n032.cluster.edu
% 0.10/0.34 % Model : x86_64 x86_64
% 0.10/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34 % Memory : 8042.1875MB
% 0.10/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.34 % CPULimit : 300
% 0.10/0.34 % WCLimit : 300
% 0.10/0.34 % DateTime : Tue Apr 30 00:19:35 EDT 2024
% 0.10/0.34 % CPUTime :
% 0.10/0.35 % Drodi V3.6.0
% 0.10/0.36 % Refutation found
% 0.10/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.36 fof(f15,axiom,(
% 0.10/0.36 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.10/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.36 fof(f17,axiom,(
% 0.10/0.36 ssList(nil) ),
% 0.10/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.36 fof(f96,conjecture,(
% 0.10/0.36 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ( ( ~ neq(V,nil)| (? [Y] :( ssItem(Y)& app(U,cons(Y,nil)) = V ))| (! [Z] :( ssItem(Z)=> app(W,cons(Z,nil)) != X ) ))& ( ~ neq(V,nil)| neq(X,nil) ) ) ) ) )) )) )) )),
% 0.10/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.36 fof(f97,negated_conjecture,(
% 0.10/0.36 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ( ( ~ neq(V,nil)| (? [Y] :( ssItem(Y)& app(U,cons(Y,nil)) = V ))| (! [Z] :( ssItem(Z)=> app(W,cons(Z,nil)) != X ) ))& ( ~ neq(V,nil)| neq(X,nil) ) ) ) ) )) )) )) ))),
% 0.10/0.36 inference(negated_conjecture,[status(cth)],[f96])).
% 0.10/0.36 fof(f217,plain,(
% 0.10/0.36 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.10/0.36 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.10/0.36 fof(f218,plain,(
% 0.10/0.36 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.10/0.36 inference(NNF_transformation,[status(esa)],[f217])).
% 0.10/0.36 fof(f219,plain,(
% 0.10/0.36 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~neq(X0,X1)|~X0=X1)),
% 0.10/0.36 inference(cnf_transformation,[status(esa)],[f218])).
% 0.10/0.36 fof(f220,plain,(
% 0.10/0.36 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 0.10/0.36 inference(cnf_transformation,[status(esa)],[f218])).
% 0.10/0.36 fof(f223,plain,(
% 0.10/0.36 ssList(nil)),
% 0.10/0.36 inference(cnf_transformation,[status(esa)],[f17])).
% 0.10/0.36 fof(f415,plain,(
% 0.10/0.36 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((V=X&U=W)&(((neq(V,nil)&(![Y]: (~ssItem(Y)|~app(U,cons(Y,nil))=V)))&(?[Z]: (ssItem(Z)&app(W,cons(Z,nil))=X)))|(neq(V,nil)&~neq(X,nil))))))))))))),
% 0.10/0.36 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.10/0.36 fof(f416,plain,(
% 0.10/0.36 ![U,V,W,X]: (pd0_0(X,W,V,U)=>((neq(V,nil)&(![Y]: (~ssItem(Y)|~app(U,cons(Y,nil))=V)))&(?[Z]: (ssItem(Z)&app(W,cons(Z,nil))=X))))),
% 0.10/0.36 introduced(predicate_definition,[f415])).
% 0.10/0.36 fof(f417,plain,(
% 0.10/0.36 ?[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)))))))))))),
% 0.10/0.36 inference(formula_renaming,[status(thm)],[f415,f416])).
% 0.10/0.36 fof(f418,plain,(
% 0.10/0.36 (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))))))))),
% 0.10/0.36 inference(skolemization,[status(esa)],[f417])).
% 0.10/0.36 fof(f420,plain,(
% 0.10/0.36 ssList(sk0_48)),
% 0.10/0.36 inference(cnf_transformation,[status(esa)],[f418])).
% 0.10/0.36 fof(f423,plain,(
% 0.10/0.36 sk0_48=sk0_50),
% 0.10/0.36 inference(cnf_transformation,[status(esa)],[f418])).
% 0.10/0.36 fof(f424,plain,(
% 0.10/0.36 sk0_47=sk0_49),
% 0.10/0.36 inference(cnf_transformation,[status(esa)],[f418])).
% 0.10/0.36 fof(f425,plain,(
% 0.10/0.36 pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)|neq(sk0_48,nil)),
% 0.10/0.36 inference(cnf_transformation,[status(esa)],[f418])).
% 0.10/0.36 fof(f426,plain,(
% 0.10/0.36 pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)|~neq(sk0_50,nil)),
% 0.10/0.36 inference(cnf_transformation,[status(esa)],[f418])).
% 0.10/0.36 fof(f427,plain,(
% 0.10/0.36 ![U,V,W,X]: (~pd0_0(X,W,V,U)|((neq(V,nil)&(![Y]: (~ssItem(Y)|~app(U,cons(Y,nil))=V)))&(?[Z]: (ssItem(Z)&app(W,cons(Z,nil))=X))))),
% 0.10/0.36 inference(pre_NNF_transformation,[status(esa)],[f416])).
% 0.10/0.36 fof(f428,plain,(
% 0.10/0.36 ![U,V,W,X]: (~pd0_0(X,W,V,U)|((neq(V,nil)&(![Y]: (~ssItem(Y)|~app(U,cons(Y,nil))=V)))&(ssItem(sk0_51(X,W,V,U))&app(W,cons(sk0_51(X,W,V,U),nil))=X)))),
% 0.10/0.36 inference(skolemization,[status(esa)],[f427])).
% 0.10/0.36 fof(f429,plain,(
% 0.10/0.36 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|neq(X2,nil))),
% 0.10/0.36 inference(cnf_transformation,[status(esa)],[f428])).
% 0.10/0.36 fof(f430,plain,(
% 0.10/0.36 ![X0,X1,X2,X3,X4]: (~pd0_0(X0,X1,X2,X3)|~ssItem(X4)|~app(X3,cons(X4,nil))=X2)),
% 0.10/0.36 inference(cnf_transformation,[status(esa)],[f428])).
% 0.10/0.36 fof(f431,plain,(
% 0.10/0.36 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|ssItem(sk0_51(X0,X1,X2,X3)))),
% 0.10/0.36 inference(cnf_transformation,[status(esa)],[f428])).
% 0.10/0.36 fof(f432,plain,(
% 0.10/0.36 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|app(X1,cons(sk0_51(X0,X1,X2,X3),nil))=X0)),
% 0.10/0.36 inference(cnf_transformation,[status(esa)],[f428])).
% 0.10/0.36 fof(f433,plain,(
% 0.10/0.36 spl0_0 <=> pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)),
% 0.10/0.36 introduced(split_symbol_definition)).
% 0.10/0.36 fof(f434,plain,(
% 0.10/0.36 pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)|~spl0_0),
% 0.10/0.36 inference(component_clause,[status(thm)],[f433])).
% 0.10/0.36 fof(f436,plain,(
% 0.10/0.36 spl0_1 <=> neq(sk0_48,nil)),
% 0.10/0.36 introduced(split_symbol_definition)).
% 0.10/0.36 fof(f437,plain,(
% 0.10/0.36 neq(sk0_48,nil)|~spl0_1),
% 0.10/0.36 inference(component_clause,[status(thm)],[f436])).
% 0.10/0.36 fof(f439,plain,(
% 0.10/0.36 spl0_0|spl0_1),
% 0.10/0.36 inference(split_clause,[status(thm)],[f425,f433,f436])).
% 0.10/0.36 fof(f440,plain,(
% 0.10/0.36 spl0_2 <=> neq(sk0_50,nil)),
% 0.10/0.36 introduced(split_symbol_definition)).
% 0.10/0.36 fof(f442,plain,(
% 0.10/0.36 ~neq(sk0_50,nil)|spl0_2),
% 0.10/0.36 inference(component_clause,[status(thm)],[f440])).
% 0.10/0.36 fof(f443,plain,(
% 0.10/0.36 spl0_0|~spl0_2),
% 0.10/0.36 inference(split_clause,[status(thm)],[f426,f433,f440])).
% 0.10/0.36 fof(f459,plain,(
% 0.10/0.36 ![X1]: (~ssList(X1)|~ssList(X1)|~neq(X1,X1))),
% 0.10/0.36 inference(destructive_equality_resolution,[status(esa)],[f219])).
% 0.10/0.36 fof(f460,plain,(
% 0.10/0.36 ![X0]: (~ssList(X0)|~neq(X0,X0))),
% 0.10/0.36 inference(duplicate_literals_removal,[status(esa)],[f459])).
% 0.10/0.36 fof(f474,plain,(
% 0.10/0.36 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,app(X2,cons(X3,nil)),X2)|~ssItem(X3))),
% 0.10/0.36 inference(destructive_equality_resolution,[status(esa)],[f430])).
% 0.10/0.36 fof(f503,plain,(
% 0.10/0.36 ~neq(sk0_48,nil)|spl0_2),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f423,f442])).
% 0.10/0.36 fof(f504,plain,(
% 0.10/0.36 spl0_7 <=> ssList(sk0_48)),
% 0.10/0.36 introduced(split_symbol_definition)).
% 0.10/0.36 fof(f506,plain,(
% 0.10/0.36 ~ssList(sk0_48)|spl0_7),
% 0.10/0.36 inference(component_clause,[status(thm)],[f504])).
% 0.10/0.36 fof(f507,plain,(
% 0.10/0.36 spl0_8 <=> ssList(nil)),
% 0.10/0.36 introduced(split_symbol_definition)).
% 0.10/0.36 fof(f509,plain,(
% 0.10/0.36 ~ssList(nil)|spl0_8),
% 0.10/0.36 inference(component_clause,[status(thm)],[f507])).
% 0.10/0.36 fof(f510,plain,(
% 0.10/0.36 spl0_9 <=> sk0_48=nil),
% 0.10/0.36 introduced(split_symbol_definition)).
% 0.10/0.36 fof(f511,plain,(
% 0.10/0.36 sk0_48=nil|~spl0_9),
% 0.10/0.36 inference(component_clause,[status(thm)],[f510])).
% 0.10/0.36 fof(f513,plain,(
% 0.10/0.36 ~ssList(sk0_48)|~ssList(nil)|sk0_48=nil|spl0_2),
% 0.10/0.36 inference(resolution,[status(thm)],[f503,f220])).
% 0.10/0.36 fof(f514,plain,(
% 0.10/0.36 ~spl0_7|~spl0_8|spl0_9|spl0_2),
% 0.10/0.36 inference(split_clause,[status(thm)],[f513,f504,f507,f510,f440])).
% 0.10/0.36 fof(f515,plain,(
% 0.10/0.36 $false|spl0_8),
% 0.10/0.36 inference(forward_subsumption_resolution,[status(thm)],[f509,f223])).
% 0.10/0.36 fof(f516,plain,(
% 0.10/0.36 spl0_8),
% 0.10/0.36 inference(contradiction_clause,[status(thm)],[f515])).
% 0.10/0.36 fof(f517,plain,(
% 0.10/0.36 $false|spl0_7),
% 0.10/0.36 inference(forward_subsumption_resolution,[status(thm)],[f506,f420])).
% 0.10/0.36 fof(f518,plain,(
% 0.10/0.36 spl0_7),
% 0.10/0.36 inference(contradiction_clause,[status(thm)],[f517])).
% 0.10/0.36 fof(f523,plain,(
% 0.10/0.36 nil=sk0_50|~spl0_9),
% 0.10/0.36 inference(backward_demodulation,[status(thm)],[f511,f423])).
% 0.10/0.36 fof(f525,plain,(
% 0.10/0.36 pd0_0(nil,sk0_49,sk0_48,sk0_47)|~spl0_9|~spl0_0),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f523,f434])).
% 0.10/0.36 fof(f526,plain,(
% 0.10/0.36 pd0_0(nil,sk0_47,sk0_48,sk0_47)|~spl0_9|~spl0_0),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f424,f525])).
% 0.10/0.36 fof(f527,plain,(
% 0.10/0.36 pd0_0(nil,sk0_47,nil,sk0_47)|~spl0_9|~spl0_0),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f511,f526])).
% 0.10/0.36 fof(f528,plain,(
% 0.10/0.36 neq(nil,nil)|~spl0_9|~spl0_0),
% 0.10/0.36 inference(resolution,[status(thm)],[f429,f527])).
% 0.10/0.36 fof(f529,plain,(
% 0.10/0.36 ~ssList(nil)|~spl0_9|~spl0_0),
% 0.10/0.36 inference(resolution,[status(thm)],[f528,f460])).
% 0.10/0.36 fof(f530,plain,(
% 0.10/0.36 ~spl0_8|~spl0_9|~spl0_0),
% 0.10/0.36 inference(split_clause,[status(thm)],[f529,f507,f510,f433])).
% 0.10/0.36 fof(f531,plain,(
% 0.10/0.36 neq(nil,nil)|~spl0_9|~spl0_1),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f511,f437])).
% 0.10/0.36 fof(f536,plain,(
% 0.10/0.36 ~ssList(nil)|~spl0_9|~spl0_1),
% 0.10/0.36 inference(resolution,[status(thm)],[f531,f460])).
% 0.10/0.36 fof(f537,plain,(
% 0.10/0.36 ~spl0_8|~spl0_9|~spl0_1),
% 0.10/0.36 inference(split_clause,[status(thm)],[f536,f507,f510,f436])).
% 0.10/0.36 fof(f538,plain,(
% 0.10/0.36 pd0_0(sk0_50,sk0_47,sk0_48,sk0_47)|~spl0_0),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f424,f434])).
% 0.10/0.36 fof(f540,plain,(
% 0.10/0.36 pd0_0(sk0_48,sk0_47,sk0_48,sk0_47)|~spl0_0),
% 0.10/0.36 inference(backward_demodulation,[status(thm)],[f423,f538])).
% 0.10/0.36 fof(f544,plain,(
% 0.10/0.36 ssItem(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47))|~spl0_0),
% 0.10/0.36 inference(resolution,[status(thm)],[f431,f540])).
% 0.10/0.36 fof(f555,plain,(
% 0.10/0.36 spl0_12 <=> ssItem(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47))),
% 0.10/0.36 introduced(split_symbol_definition)).
% 0.10/0.36 fof(f557,plain,(
% 0.10/0.36 ~ssItem(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47))|spl0_12),
% 0.10/0.36 inference(component_clause,[status(thm)],[f555])).
% 0.10/0.36 fof(f562,plain,(
% 0.10/0.36 $false|~spl0_0|spl0_12),
% 0.10/0.36 inference(forward_subsumption_resolution,[status(thm)],[f557,f544])).
% 0.10/0.36 fof(f563,plain,(
% 0.10/0.36 ~spl0_0|spl0_12),
% 0.10/0.36 inference(contradiction_clause,[status(thm)],[f562])).
% 0.10/0.36 fof(f564,plain,(
% 0.10/0.36 app(sk0_47,cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil))=sk0_48|~spl0_0),
% 0.10/0.36 inference(resolution,[status(thm)],[f432,f540])).
% 0.10/0.36 fof(f565,plain,(
% 0.10/0.36 spl0_13 <=> ~pd0_0(X0,X1,sk0_48,sk0_47)),
% 0.10/0.36 introduced(split_symbol_definition)).
% 0.10/0.36 fof(f566,plain,(
% 0.10/0.36 ![X0,X1]: (~pd0_0(X0,X1,sk0_48,sk0_47)|~spl0_13)),
% 0.10/0.36 inference(component_clause,[status(thm)],[f565])).
% 0.10/0.36 fof(f568,plain,(
% 0.10/0.36 ![X0,X1]: (~pd0_0(X0,X1,sk0_48,sk0_47)|~ssItem(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47))|~spl0_0)),
% 0.10/0.36 inference(paramodulation,[status(thm)],[f564,f474])).
% 0.10/0.36 fof(f569,plain,(
% 0.10/0.36 spl0_13|~spl0_12|~spl0_0),
% 0.10/0.36 inference(split_clause,[status(thm)],[f568,f565,f555,f433])).
% 0.10/0.36 fof(f570,plain,(
% 0.10/0.36 $false|~spl0_13|~spl0_0),
% 0.10/0.36 inference(backward_subsumption_resolution,[status(thm)],[f540,f566])).
% 0.10/0.36 fof(f571,plain,(
% 0.10/0.36 ~spl0_13|~spl0_0),
% 0.10/0.36 inference(contradiction_clause,[status(thm)],[f570])).
% 0.10/0.36 fof(f572,plain,(
% 0.10/0.36 $false),
% 0.10/0.36 inference(sat_refutation,[status(thm)],[f439,f443,f514,f516,f518,f530,f537,f563,f569,f571])).
% 0.10/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.38 % Elapsed time: 0.027455 seconds
% 0.10/0.38 % CPU time: 0.036346 seconds
% 0.10/0.38 % Total memory used: 14.705 MB
% 0.10/0.38 % Net memory used: 14.680 MB
%------------------------------------------------------------------------------