TSTP Solution File: SWC019+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC019+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 20:44:10 EDT 2024
% Result : Theorem 0.12s 0.37s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : SWC019+1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.35 % Computer : n028.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Tue Apr 30 00:32:29 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.12/0.36 % Drodi V3.6.0
% 0.12/0.37 % Refutation found
% 0.12/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.37 fof(f15,axiom,(
% 0.12/0.37 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f17,axiom,(
% 0.12/0.37 ssList(nil) ),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f42,axiom,(
% 0.12/0.37 (! [U] :( ssList(U)=> frontsegP(U,U) ) )),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f96,conjecture,(
% 0.12/0.37 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| X != W| (? [Y] :( ssList(Y)& neq(Y,nil)& frontsegP(V,Y)& frontsegP(U,Y) ))| ( nil = V& nil = U ) ) ) )) )) )) )),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f97,negated_conjecture,(
% 0.12/0.37 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| X != W| (? [Y] :( ssList(Y)& neq(Y,nil)& frontsegP(V,Y)& frontsegP(U,Y) ))| ( nil = V& nil = U ) ) ) )) )) )) ))),
% 0.12/0.37 inference(negated_conjecture,[status(cth)],[f96])).
% 0.12/0.37 fof(f217,plain,(
% 0.12/0.37 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.12/0.37 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.12/0.37 fof(f218,plain,(
% 0.12/0.37 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.12/0.37 inference(NNF_transformation,[status(esa)],[f217])).
% 0.12/0.37 fof(f220,plain,(
% 0.12/0.37 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f218])).
% 0.12/0.37 fof(f223,plain,(
% 0.12/0.37 ssList(nil)),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f17])).
% 0.12/0.37 fof(f285,plain,(
% 0.12/0.37 ![U]: (~ssList(U)|frontsegP(U,U))),
% 0.12/0.37 inference(pre_NNF_transformation,[status(esa)],[f42])).
% 0.12/0.37 fof(f286,plain,(
% 0.12/0.37 ![X0]: (~ssList(X0)|frontsegP(X0,X0))),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f285])).
% 0.12/0.37 fof(f415,plain,(
% 0.12/0.37 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((V=X&U=W)&X=W)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~frontsegP(V,Y))|~frontsegP(U,Y))))&(~nil=V|~nil=U))))))))))),
% 0.12/0.37 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.12/0.37 fof(f416,plain,(
% 0.12/0.37 (ssList(sk0_47)&(ssList(sk0_48)&(ssList(sk0_49)&(ssList(sk0_50)&((((sk0_48=sk0_50&sk0_47=sk0_49)&sk0_50=sk0_49)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~frontsegP(sk0_48,Y))|~frontsegP(sk0_47,Y))))&(~nil=sk0_48|~nil=sk0_47))))))),
% 0.12/0.37 inference(skolemization,[status(esa)],[f415])).
% 0.12/0.37 fof(f417,plain,(
% 0.12/0.37 ssList(sk0_47)),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f416])).
% 0.12/0.37 fof(f421,plain,(
% 0.12/0.37 sk0_48=sk0_50),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f416])).
% 0.12/0.37 fof(f422,plain,(
% 0.12/0.37 sk0_47=sk0_49),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f416])).
% 0.12/0.37 fof(f423,plain,(
% 0.12/0.37 sk0_50=sk0_49),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f416])).
% 0.12/0.37 fof(f424,plain,(
% 0.12/0.37 ![X0]: (~ssList(X0)|~neq(X0,nil)|~frontsegP(sk0_48,X0)|~frontsegP(sk0_47,X0))),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f416])).
% 0.12/0.37 fof(f425,plain,(
% 0.12/0.37 ~nil=sk0_48|~nil=sk0_47),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f416])).
% 0.12/0.37 fof(f426,plain,(
% 0.12/0.37 spl0_0 <=> nil=sk0_48),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f428,plain,(
% 0.12/0.37 ~nil=sk0_48|spl0_0),
% 0.12/0.37 inference(component_clause,[status(thm)],[f426])).
% 0.12/0.37 fof(f429,plain,(
% 0.12/0.37 spl0_1 <=> nil=sk0_47),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f430,plain,(
% 0.12/0.37 nil=sk0_47|~spl0_1),
% 0.12/0.37 inference(component_clause,[status(thm)],[f429])).
% 0.12/0.37 fof(f432,plain,(
% 0.12/0.37 ~spl0_0|~spl0_1),
% 0.12/0.37 inference(split_clause,[status(thm)],[f425,f426,f429])).
% 0.12/0.37 fof(f465,plain,(
% 0.12/0.37 sk0_48=sk0_49),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f421,f423])).
% 0.12/0.37 fof(f466,plain,(
% 0.12/0.37 sk0_48=sk0_47),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f422,f465])).
% 0.12/0.37 fof(f469,plain,(
% 0.12/0.37 spl0_2 <=> ssList(nil)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f471,plain,(
% 0.12/0.37 ~ssList(nil)|spl0_2),
% 0.12/0.37 inference(component_clause,[status(thm)],[f469])).
% 0.12/0.37 fof(f479,plain,(
% 0.12/0.37 $false|spl0_2),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f471,f223])).
% 0.12/0.37 fof(f480,plain,(
% 0.12/0.37 spl0_2),
% 0.12/0.37 inference(contradiction_clause,[status(thm)],[f479])).
% 0.12/0.37 fof(f501,plain,(
% 0.12/0.37 ~nil=sk0_47|spl0_0),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f466,f428])).
% 0.12/0.37 fof(f502,plain,(
% 0.12/0.37 ![X0]: (~ssList(X0)|~neq(X0,nil)|~frontsegP(sk0_47,X0)|~frontsegP(sk0_47,X0))),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f466,f424])).
% 0.12/0.37 fof(f503,plain,(
% 0.12/0.37 ![X0]: (~ssList(X0)|~neq(X0,nil)|~frontsegP(sk0_47,X0))),
% 0.12/0.37 inference(duplicate_literals_removal,[status(esa)],[f502])).
% 0.12/0.37 fof(f504,plain,(
% 0.12/0.37 spl0_8 <=> ~ssList(X0)|~frontsegP(sk0_47,X0)|~ssList(X0)|X0=nil),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f505,plain,(
% 0.12/0.37 ![X0]: (~ssList(X0)|~frontsegP(sk0_47,X0)|~ssList(X0)|X0=nil|~spl0_8)),
% 0.12/0.37 inference(component_clause,[status(thm)],[f504])).
% 0.12/0.37 fof(f507,plain,(
% 0.12/0.37 ![X0]: (~ssList(X0)|~frontsegP(sk0_47,X0)|~ssList(X0)|~ssList(nil)|X0=nil)),
% 0.12/0.37 inference(resolution,[status(thm)],[f503,f220])).
% 0.12/0.37 fof(f508,plain,(
% 0.12/0.37 spl0_8|~spl0_2),
% 0.12/0.37 inference(split_clause,[status(thm)],[f507,f504,f469])).
% 0.12/0.37 fof(f509,plain,(
% 0.12/0.37 ![X0]: (~ssList(X0)|~frontsegP(sk0_47,X0)|X0=nil|~spl0_8)),
% 0.12/0.37 inference(duplicate_literals_removal,[status(esa)],[f505])).
% 0.12/0.37 fof(f510,plain,(
% 0.12/0.37 spl0_9 <=> ssList(sk0_47)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f512,plain,(
% 0.12/0.37 ~ssList(sk0_47)|spl0_9),
% 0.12/0.37 inference(component_clause,[status(thm)],[f510])).
% 0.12/0.37 fof(f515,plain,(
% 0.12/0.37 ~ssList(sk0_47)|sk0_47=nil|~ssList(sk0_47)|~spl0_8),
% 0.12/0.37 inference(resolution,[status(thm)],[f509,f286])).
% 0.12/0.37 fof(f516,plain,(
% 0.12/0.37 ~spl0_9|spl0_1|~spl0_8),
% 0.12/0.37 inference(split_clause,[status(thm)],[f515,f510,f429,f504])).
% 0.12/0.37 fof(f517,plain,(
% 0.12/0.37 $false|spl0_9),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f512,f417])).
% 0.12/0.37 fof(f518,plain,(
% 0.12/0.37 spl0_9),
% 0.12/0.37 inference(contradiction_clause,[status(thm)],[f517])).
% 0.12/0.37 fof(f519,plain,(
% 0.12/0.37 $false|spl0_0|~spl0_1),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f430,f501])).
% 0.12/0.37 fof(f520,plain,(
% 0.12/0.37 spl0_0|~spl0_1),
% 0.12/0.37 inference(contradiction_clause,[status(thm)],[f519])).
% 0.12/0.37 fof(f521,plain,(
% 0.12/0.37 $false),
% 0.12/0.37 inference(sat_refutation,[status(thm)],[f432,f480,f508,f516,f518,f520])).
% 0.12/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.38 % Elapsed time: 0.026283 seconds
% 0.12/0.38 % CPU time: 0.037076 seconds
% 0.12/0.38 % Total memory used: 14.554 MB
% 0.12/0.38 % Net memory used: 14.529 MB
%------------------------------------------------------------------------------