TSTP Solution File: SWC198+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC198+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 20:44:55 EDT 2024
% Result : Theorem 0.12s 0.38s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : SWC198+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 : n004.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 00:07:18 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.12/0.37 % Drodi V3.6.0
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.38 fof(f2,axiom,(
% 0.12/0.38 (? [U] :( ssItem(U)& (? [V] :( ssItem(V)& U != V ) )) )),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f17,axiom,(
% 0.12/0.38 ssList(nil) ),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f37,axiom,(
% 0.12/0.38 (! [U] :( ssItem(U)=> (! [V] :( ssItem(V)=> (! [W] :( ssList(W)=> ( memberP(cons(V,W),U)<=> ( U = V| memberP(W,U) ) ) ) )) )) )),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f38,axiom,(
% 0.12/0.38 (! [U] :( ssItem(U)=> ~ memberP(nil,U) ) )),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f96,conjecture,(
% 0.12/0.38 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| (? [Y] :( ssItem(Y)& (! [Z] :( ssItem(Z)=> ( ~ memberP(U,Z)| Y = Z ) ) )))| ( (! [X1] :( ssItem(X1)=> ( cons(X1,nil) != W| ~ memberP(X,X1)| (? [X2] :( ssItem(X2)& X1 != X2& memberP(X,X2)& leq(X1,X2) ) )) ))& ( nil != X| nil != W ) ) ) ) )) )) )) )),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f97,negated_conjecture,(
% 0.12/0.38 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| (? [Y] :( ssItem(Y)& (! [Z] :( ssItem(Z)=> ( ~ memberP(U,Z)| Y = Z ) ) )))| ( (! [X1] :( ssItem(X1)=> ( cons(X1,nil) != W| ~ memberP(X,X1)| (? [X2] :( ssItem(X2)& X1 != X2& memberP(X,X2)& leq(X1,X2) ) )) ))& ( nil != X| nil != W ) ) ) ) )) )) )) ))),
% 0.12/0.38 inference(negated_conjecture,[status(cth)],[f96])).
% 0.12/0.38 fof(f102,plain,(
% 0.12/0.38 (ssItem(sk0_0)&(ssItem(sk0_1)&~sk0_0=sk0_1))),
% 0.12/0.38 inference(skolemization,[status(esa)],[f2])).
% 0.12/0.38 fof(f104,plain,(
% 0.12/0.38 ssItem(sk0_1)),
% 0.12/0.38 inference(cnf_transformation,[status(esa)],[f102])).
% 0.12/0.38 fof(f223,plain,(
% 0.12/0.38 ssList(nil)),
% 0.12/0.38 inference(cnf_transformation,[status(esa)],[f17])).
% 0.12/0.38 fof(f273,plain,(
% 0.12/0.38 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|(![W]: (~ssList(W)|(memberP(cons(V,W),U)<=>(U=V|memberP(W,U))))))))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(esa)],[f37])).
% 0.12/0.38 fof(f274,plain,(
% 0.12/0.38 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|(![W]: (~ssList(W)|((~memberP(cons(V,W),U)|(U=V|memberP(W,U)))&(memberP(cons(V,W),U)|(~U=V&~memberP(W,U)))))))))),
% 0.12/0.38 inference(NNF_transformation,[status(esa)],[f273])).
% 0.12/0.38 fof(f275,plain,(
% 0.12/0.38 ![X0,X1,X2]: (~ssItem(X0)|~ssItem(X1)|~ssList(X2)|~memberP(cons(X1,X2),X0)|X0=X1|memberP(X2,X0))),
% 0.12/0.38 inference(cnf_transformation,[status(esa)],[f274])).
% 0.12/0.38 fof(f278,plain,(
% 0.12/0.38 ![U]: (~ssItem(U)|~memberP(nil,U))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(esa)],[f38])).
% 0.12/0.38 fof(f279,plain,(
% 0.12/0.38 ![X0]: (~ssItem(X0)|~memberP(nil,X0))),
% 0.12/0.38 inference(cnf_transformation,[status(esa)],[f278])).
% 0.12/0.38 fof(f415,plain,(
% 0.12/0.38 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((V=X&U=W)&(![Y]: (~ssItem(Y)|(?[Z]: (ssItem(Z)&(memberP(U,Z)&~Y=Z))))))&((?[X1]: (ssItem(X1)&((cons(X1,nil)=W&memberP(X,X1))&(![X2]: (((~ssItem(X2)|X1=X2)|~memberP(X,X2))|~leq(X1,X2))))))|(nil=X&nil=W)))))))))))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.12/0.38 fof(f416,plain,(
% 0.12/0.38 ![W,X,X1]: (pd0_0(X1,X,W)=>(ssItem(X1)&((cons(X1,nil)=W&memberP(X,X1))&(![X2]: (((~ssItem(X2)|X1=X2)|~memberP(X,X2))|~leq(X1,X2))))))),
% 0.12/0.38 introduced(predicate_definition,[f415])).
% 0.12/0.38 fof(f417,plain,(
% 0.12/0.38 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((V=X&U=W)&(![Y]: (~ssItem(Y)|(?[Z]: (ssItem(Z)&(memberP(U,Z)&~Y=Z))))))&((?[X1]: pd0_0(X1,X,W))|(nil=X&nil=W))))))))))),
% 0.12/0.38 inference(formula_renaming,[status(thm)],[f415,f416])).
% 0.12/0.38 fof(f418,plain,(
% 0.12/0.38 (ssList(sk0_47)&(ssList(sk0_48)&(ssList(sk0_49)&(ssList(sk0_50)&(((sk0_48=sk0_50&sk0_47=sk0_49)&(![Y]: (~ssItem(Y)|(ssItem(sk0_51(Y))&(memberP(sk0_47,sk0_51(Y))&~Y=sk0_51(Y))))))&(pd0_0(sk0_52,sk0_50,sk0_49)|(nil=sk0_50&nil=sk0_49)))))))),
% 0.12/0.38 inference(skolemization,[status(esa)],[f417])).
% 0.12/0.38 fof(f420,plain,(
% 0.12/0.38 ssList(sk0_48)),
% 0.12/0.38 inference(cnf_transformation,[status(esa)],[f418])).
% 0.12/0.38 fof(f423,plain,(
% 0.12/0.38 sk0_48=sk0_50),
% 0.12/0.38 inference(cnf_transformation,[status(esa)],[f418])).
% 0.12/0.38 fof(f424,plain,(
% 0.12/0.38 sk0_47=sk0_49),
% 0.12/0.38 inference(cnf_transformation,[status(esa)],[f418])).
% 0.12/0.38 fof(f425,plain,(
% 0.12/0.38 ![X0]: (~ssItem(X0)|ssItem(sk0_51(X0)))),
% 0.12/0.38 inference(cnf_transformation,[status(esa)],[f418])).
% 0.12/0.38 fof(f426,plain,(
% 0.12/0.38 ![X0]: (~ssItem(X0)|memberP(sk0_47,sk0_51(X0)))),
% 0.12/0.38 inference(cnf_transformation,[status(esa)],[f418])).
% 0.12/0.38 fof(f427,plain,(
% 0.12/0.38 ![X0]: (~ssItem(X0)|~X0=sk0_51(X0))),
% 0.12/0.38 inference(cnf_transformation,[status(esa)],[f418])).
% 0.12/0.38 fof(f429,plain,(
% 0.12/0.38 pd0_0(sk0_52,sk0_50,sk0_49)|nil=sk0_49),
% 0.12/0.38 inference(cnf_transformation,[status(esa)],[f418])).
% 0.12/0.38 fof(f430,plain,(
% 0.12/0.38 ![W,X,X1]: (~pd0_0(X1,X,W)|(ssItem(X1)&((cons(X1,nil)=W&memberP(X,X1))&(![X2]: (((~ssItem(X2)|X1=X2)|~memberP(X,X2))|~leq(X1,X2))))))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(esa)],[f416])).
% 0.12/0.38 fof(f431,plain,(
% 0.12/0.38 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|ssItem(X0))),
% 0.12/0.38 inference(cnf_transformation,[status(esa)],[f430])).
% 0.12/0.38 fof(f432,plain,(
% 0.12/0.38 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|cons(X0,nil)=X2)),
% 0.12/0.38 inference(cnf_transformation,[status(esa)],[f430])).
% 0.12/0.38 fof(f435,plain,(
% 0.12/0.38 spl0_0 <=> pd0_0(sk0_52,sk0_50,sk0_49)),
% 0.12/0.38 introduced(split_symbol_definition)).
% 0.12/0.38 fof(f436,plain,(
% 0.12/0.38 pd0_0(sk0_52,sk0_50,sk0_49)|~spl0_0),
% 0.12/0.38 inference(component_clause,[status(thm)],[f435])).
% 0.12/0.38 fof(f442,plain,(
% 0.12/0.38 spl0_2 <=> nil=sk0_49),
% 0.12/0.38 introduced(split_symbol_definition)).
% 0.12/0.38 fof(f443,plain,(
% 0.12/0.38 nil=sk0_49|~spl0_2),
% 0.12/0.38 inference(component_clause,[status(thm)],[f442])).
% 0.12/0.38 fof(f445,plain,(
% 0.12/0.38 spl0_0|spl0_2),
% 0.12/0.38 inference(split_clause,[status(thm)],[f429,f435,f442])).
% 0.12/0.38 fof(f478,plain,(
% 0.12/0.38 pd0_0(sk0_52,sk0_48,sk0_49)|~spl0_0),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f423,f436])).
% 0.12/0.38 fof(f479,plain,(
% 0.12/0.38 pd0_0(sk0_52,sk0_48,sk0_47)|~spl0_0),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f424,f478])).
% 0.12/0.38 fof(f480,plain,(
% 0.12/0.38 cons(sk0_52,nil)=sk0_47|~spl0_0),
% 0.12/0.38 inference(resolution,[status(thm)],[f479,f432])).
% 0.12/0.38 fof(f482,plain,(
% 0.12/0.38 ssItem(sk0_52)|~spl0_0),
% 0.12/0.38 inference(resolution,[status(thm)],[f479,f431])).
% 0.12/0.38 fof(f483,plain,(
% 0.12/0.38 spl0_3 <=> ssList(nil)),
% 0.12/0.38 introduced(split_symbol_definition)).
% 0.12/0.38 fof(f485,plain,(
% 0.12/0.38 ~ssList(nil)|spl0_3),
% 0.12/0.38 inference(component_clause,[status(thm)],[f483])).
% 0.12/0.38 fof(f486,plain,(
% 0.12/0.38 spl0_4 <=> ssItem(sk0_52)),
% 0.12/0.38 introduced(split_symbol_definition)).
% 0.12/0.38 fof(f488,plain,(
% 0.12/0.38 ~ssItem(sk0_52)|spl0_4),
% 0.12/0.38 inference(component_clause,[status(thm)],[f486])).
% 0.12/0.38 fof(f504,plain,(
% 0.12/0.38 $false|~spl0_0|spl0_4),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f488,f482])).
% 0.12/0.38 fof(f505,plain,(
% 0.12/0.38 ~spl0_0|spl0_4),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f504])).
% 0.12/0.38 fof(f507,plain,(
% 0.12/0.38 nil=sk0_47|~spl0_2),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f424,f443])).
% 0.12/0.38 fof(f512,plain,(
% 0.12/0.38 ![X0]: (~ssItem(X0)|memberP(nil,sk0_51(X0))|~spl0_2)),
% 0.12/0.38 inference(backward_demodulation,[status(thm)],[f507,f426])).
% 0.12/0.38 fof(f517,plain,(
% 0.12/0.38 ![X0]: (~ssItem(X0)|~ssItem(sk0_51(X0))|~spl0_2)),
% 0.12/0.38 inference(resolution,[status(thm)],[f512,f279])).
% 0.12/0.38 fof(f518,plain,(
% 0.12/0.38 ![X0]: (~ssItem(X0)|~spl0_2)),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f517,f425])).
% 0.12/0.38 fof(f520,plain,(
% 0.12/0.38 $false|~spl0_2),
% 0.12/0.38 inference(backward_subsumption_resolution,[status(thm)],[f104,f518])).
% 0.12/0.38 fof(f521,plain,(
% 0.12/0.38 ~spl0_2),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f520])).
% 0.12/0.38 fof(f522,plain,(
% 0.12/0.38 $false|spl0_3),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f485,f223])).
% 0.12/0.38 fof(f523,plain,(
% 0.12/0.38 spl0_3),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f522])).
% 0.12/0.38 fof(f546,plain,(
% 0.12/0.38 spl0_11 <=> ~ssList(X0)|~ssList(X0)),
% 0.12/0.38 introduced(split_symbol_definition)).
% 0.12/0.38 fof(f547,plain,(
% 0.12/0.38 ![X0]: (~ssList(X0)|~ssList(X0)|~spl0_11)),
% 0.12/0.38 inference(component_clause,[status(thm)],[f546])).
% 0.12/0.38 fof(f554,plain,(
% 0.12/0.38 ![X0]: (~ssList(X0)|~spl0_11)),
% 0.12/0.38 inference(duplicate_literals_removal,[status(esa)],[f547])).
% 0.12/0.38 fof(f555,plain,(
% 0.12/0.38 $false|~spl0_11),
% 0.12/0.38 inference(backward_subsumption_resolution,[status(thm)],[f420,f554])).
% 0.12/0.38 fof(f556,plain,(
% 0.12/0.38 ~spl0_11),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f555])).
% 0.12/0.38 fof(f595,plain,(
% 0.12/0.38 spl0_19 <=> ~ssItem(X0)|~memberP(sk0_47,X0)|X0=sk0_52|memberP(nil,X0)),
% 0.12/0.38 introduced(split_symbol_definition)).
% 0.12/0.38 fof(f596,plain,(
% 0.12/0.38 ![X0]: (~ssItem(X0)|~memberP(sk0_47,X0)|X0=sk0_52|memberP(nil,X0)|~spl0_19)),
% 0.12/0.38 inference(component_clause,[status(thm)],[f595])).
% 0.12/0.38 fof(f598,plain,(
% 0.12/0.38 ![X0]: (~ssItem(X0)|~ssItem(sk0_52)|~ssList(nil)|~memberP(sk0_47,X0)|X0=sk0_52|memberP(nil,X0)|~spl0_0)),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f480,f275])).
% 0.12/0.38 fof(f599,plain,(
% 0.12/0.38 spl0_19|~spl0_4|~spl0_3|~spl0_0),
% 0.12/0.38 inference(split_clause,[status(thm)],[f598,f595,f486,f483,f435])).
% 0.12/0.38 fof(f600,plain,(
% 0.12/0.38 ![X0]: (~ssItem(X0)|~memberP(sk0_47,X0)|X0=sk0_52|~spl0_19)),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f596,f279])).
% 0.12/0.38 fof(f680,plain,(
% 0.12/0.38 ![X0]: (~ssItem(sk0_51(X0))|sk0_51(X0)=sk0_52|~ssItem(X0)|~spl0_19)),
% 0.12/0.38 inference(resolution,[status(thm)],[f600,f426])).
% 0.12/0.38 fof(f681,plain,(
% 0.12/0.38 ![X0]: (sk0_51(X0)=sk0_52|~ssItem(X0)|~spl0_19)),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f680,f425])).
% 0.12/0.38 fof(f682,plain,(
% 0.12/0.38 ~ssItem(sk0_52)|~ssItem(sk0_52)|~spl0_19),
% 0.12/0.38 inference(resolution,[status(thm)],[f681,f427])).
% 0.12/0.38 fof(f683,plain,(
% 0.12/0.38 ~spl0_4|~spl0_19),
% 0.12/0.38 inference(split_clause,[status(thm)],[f682,f486,f595])).
% 0.12/0.38 fof(f684,plain,(
% 0.12/0.38 $false),
% 0.12/0.38 inference(sat_refutation,[status(thm)],[f445,f505,f521,f523,f556,f599,f683])).
% 0.12/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.39 % Elapsed time: 0.030358 seconds
% 0.12/0.39 % CPU time: 0.057494 seconds
% 0.12/0.39 % Total memory used: 17.100 MB
% 0.12/0.39 % Net memory used: 17.062 MB
%------------------------------------------------------------------------------