TSTP Solution File: SWC331+1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC331+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 12:40:05 EDT 2023
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC331+1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n010.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 11:11:52 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.36 fof(f7,axiom,(
% 0.13/0.36 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( segmentP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(app(W,V),X) = U ) )) )) ) )) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f17,axiom,(
% 0.13/0.36 ssList(nil) ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f28,axiom,(
% 0.13/0.36 (! [U] :( ssList(U)=> app(nil,U) = U ) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f96,conjecture,(
% 0.13/0.36 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| (! [Y] :( ssList(Y)=> ( app(W,Y) != X| ~ equalelemsP(W)| (? [Z] :( ssItem(Z)& (? [X1] :( ssList(X1)& app(cons(Z,nil),X1) = Y& (? [X2] :( ssList(X2)& app(X2,cons(Z,nil)) = W ) )) )) )) ))| ( nil != X& nil = W )| ( segmentP(V,U)& equalelemsP(U) ) ) ) )) )) )) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f97,negated_conjecture,(
% 0.13/0.36 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| (! [Y] :( ssList(Y)=> ( app(W,Y) != X| ~ equalelemsP(W)| (? [Z] :( ssItem(Z)& (? [X1] :( ssList(X1)& app(cons(Z,nil),X1) = Y& (? [X2] :( ssList(X2)& app(X2,cons(Z,nil)) = W ) )) )) )) ))| ( nil != X& nil = W )| ( segmentP(V,U)& equalelemsP(U) ) ) ) )) )) )) ))),
% 0.13/0.36 inference(negated_conjecture,[status(cth)],[f96])).
% 0.13/0.36 fof(f131,plain,(
% 0.13/0.36 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(segmentP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(app(W,V),X)=U))))))))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.13/0.36 fof(f132,plain,(
% 0.13/0.36 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~segmentP(U,V)|(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(app(W,V),X)=U)))))&(segmentP(U,V)|(![W]: (~ssList(W)|(![X]: (~ssList(X)|~app(app(W,V),X)=U)))))))))),
% 0.13/0.36 inference(NNF_transformation,[status(esa)],[f131])).
% 0.13/0.36 fof(f133,plain,(
% 0.13/0.36 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~segmentP(U,V)|(ssList(sk0_7(V,U))&(ssList(sk0_8(V,U))&app(app(sk0_7(V,U),V),sk0_8(V,U))=U)))&(segmentP(U,V)|(![W]: (~ssList(W)|(![X]: (~ssList(X)|~app(app(W,V),X)=U)))))))))),
% 0.13/0.36 inference(skolemization,[status(esa)],[f132])).
% 0.13/0.36 fof(f137,plain,(
% 0.13/0.36 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~app(app(X2,X1),X3)=X0)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f133])).
% 0.13/0.36 fof(f223,plain,(
% 0.13/0.36 ssList(nil)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f17])).
% 0.13/0.36 fof(f248,plain,(
% 0.13/0.36 ![U]: (~ssList(U)|app(nil,U)=U)),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 0.13/0.36 fof(f249,plain,(
% 0.13/0.36 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f248])).
% 0.13/0.36 fof(f415,plain,(
% 0.13/0.36 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((V=X&U=W)&(?[Y]: (ssList(Y)&((app(W,Y)=X&equalelemsP(W))&(![Z]: (~ssItem(Z)|(![X1]: ((~ssList(X1)|~app(cons(Z,nil),X1)=Y)|(![X2]: (~ssList(X2)|~app(X2,cons(Z,nil))=W))))))))))&(nil=X|~nil=W))&(~segmentP(V,U)|~equalelemsP(U)))))))))))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.13/0.36 fof(f416,plain,(
% 0.13/0.36 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((V=X&U=W)&(?[Y]: (ssList(Y)&((app(W,Y)=X&equalelemsP(W))&(![Z]: (~ssItem(Z)|((![X1]: (~ssList(X1)|~app(cons(Z,nil),X1)=Y))|(![X2]: (~ssList(X2)|~app(X2,cons(Z,nil))=W)))))))))&(nil=X|~nil=W))&(~segmentP(V,U)|~equalelemsP(U))))))))))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f415])).
% 0.13/0.36 fof(f417,plain,(
% 0.13/0.36 (ssList(sk0_47)&(ssList(sk0_48)&(ssList(sk0_49)&(ssList(sk0_50)&((((sk0_48=sk0_50&sk0_47=sk0_49)&(ssList(sk0_51)&((app(sk0_49,sk0_51)=sk0_50&equalelemsP(sk0_49))&(![Z]: (~ssItem(Z)|((![X1]: (~ssList(X1)|~app(cons(Z,nil),X1)=sk0_51))|(![X2]: (~ssList(X2)|~app(X2,cons(Z,nil))=sk0_49))))))))&(nil=sk0_50|~nil=sk0_49))&(~segmentP(sk0_48,sk0_47)|~equalelemsP(sk0_47)))))))),
% 0.13/0.36 inference(skolemization,[status(esa)],[f416])).
% 0.13/0.36 fof(f418,plain,(
% 0.13/0.36 ssList(sk0_47)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f417])).
% 0.13/0.36 fof(f419,plain,(
% 0.13/0.36 ssList(sk0_48)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f417])).
% 0.13/0.36 fof(f422,plain,(
% 0.13/0.36 sk0_48=sk0_50),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f417])).
% 0.13/0.36 fof(f423,plain,(
% 0.13/0.36 sk0_47=sk0_49),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f417])).
% 0.13/0.36 fof(f424,plain,(
% 0.13/0.36 ssList(sk0_51)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f417])).
% 0.13/0.36 fof(f425,plain,(
% 0.13/0.36 app(sk0_49,sk0_51)=sk0_50),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f417])).
% 0.13/0.36 fof(f426,plain,(
% 0.13/0.36 equalelemsP(sk0_49)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f417])).
% 0.13/0.36 fof(f429,plain,(
% 0.13/0.36 ~segmentP(sk0_48,sk0_47)|~equalelemsP(sk0_47)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f417])).
% 0.13/0.36 fof(f437,plain,(
% 0.13/0.36 spl0_2 <=> segmentP(sk0_48,sk0_47)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f440,plain,(
% 0.13/0.36 spl0_3 <=> equalelemsP(sk0_47)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f442,plain,(
% 0.13/0.36 ~equalelemsP(sk0_47)|spl0_3),
% 0.13/0.36 inference(component_clause,[status(thm)],[f440])).
% 0.13/0.36 fof(f443,plain,(
% 0.13/0.36 ~spl0_2|~spl0_3),
% 0.13/0.36 inference(split_clause,[status(thm)],[f429,f437,f440])).
% 0.13/0.36 fof(f450,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~ssList(app(app(X0,X1),X2))|~ssList(X1)|segmentP(app(app(X0,X1),X2),X1)|~ssList(X0)|~ssList(X2))),
% 0.13/0.36 inference(destructive_equality_resolution,[status(esa)],[f137])).
% 0.13/0.36 fof(f476,plain,(
% 0.13/0.36 equalelemsP(sk0_47)),
% 0.13/0.36 inference(forward_demodulation,[status(thm)],[f423,f426])).
% 0.13/0.36 fof(f477,plain,(
% 0.13/0.36 app(sk0_47,sk0_51)=sk0_50),
% 0.13/0.36 inference(forward_demodulation,[status(thm)],[f423,f425])).
% 0.13/0.36 fof(f478,plain,(
% 0.13/0.36 app(sk0_47,sk0_51)=sk0_48),
% 0.13/0.36 inference(forward_demodulation,[status(thm)],[f422,f477])).
% 0.13/0.36 fof(f482,plain,(
% 0.13/0.36 app(nil,sk0_47)=sk0_47),
% 0.13/0.36 inference(resolution,[status(thm)],[f249,f418])).
% 0.13/0.36 fof(f486,plain,(
% 0.13/0.36 spl0_5 <=> ssList(nil)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f488,plain,(
% 0.13/0.36 ~ssList(nil)|spl0_5),
% 0.13/0.36 inference(component_clause,[status(thm)],[f486])).
% 0.13/0.36 fof(f494,plain,(
% 0.13/0.36 spl0_7 <=> ssList(sk0_51)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f496,plain,(
% 0.13/0.36 ~ssList(sk0_51)|spl0_7),
% 0.13/0.36 inference(component_clause,[status(thm)],[f494])).
% 0.13/0.36 fof(f502,plain,(
% 0.13/0.36 spl0_9 <=> ssList(sk0_47)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f504,plain,(
% 0.13/0.36 ~ssList(sk0_47)|spl0_9),
% 0.13/0.36 inference(component_clause,[status(thm)],[f502])).
% 0.13/0.36 fof(f507,plain,(
% 0.13/0.36 $false|spl0_9),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f504,f418])).
% 0.13/0.36 fof(f508,plain,(
% 0.13/0.36 spl0_9),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f507])).
% 0.13/0.36 fof(f509,plain,(
% 0.13/0.36 $false|spl0_5),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f488,f223])).
% 0.13/0.36 fof(f510,plain,(
% 0.13/0.36 spl0_5),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f509])).
% 0.13/0.36 fof(f511,plain,(
% 0.13/0.36 $false|spl0_7),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f496,f424])).
% 0.13/0.36 fof(f512,plain,(
% 0.13/0.36 spl0_7),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f511])).
% 0.13/0.36 fof(f530,plain,(
% 0.13/0.36 spl0_12 <=> ~ssList(app(sk0_47,X0))|segmentP(app(app(nil,sk0_47),X0),sk0_47)|~ssList(X0)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f531,plain,(
% 0.13/0.36 ![X0]: (~ssList(app(sk0_47,X0))|segmentP(app(app(nil,sk0_47),X0),sk0_47)|~ssList(X0)|~spl0_12)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f530])).
% 0.13/0.36 fof(f533,plain,(
% 0.13/0.36 ![X0]: (~ssList(app(sk0_47,X0))|~ssList(sk0_47)|segmentP(app(app(nil,sk0_47),X0),sk0_47)|~ssList(nil)|~ssList(X0))),
% 0.13/0.36 inference(paramodulation,[status(thm)],[f482,f450])).
% 0.13/0.36 fof(f534,plain,(
% 0.13/0.36 spl0_12|~spl0_9|~spl0_5),
% 0.13/0.36 inference(split_clause,[status(thm)],[f533,f530,f502,f486])).
% 0.13/0.36 fof(f535,plain,(
% 0.13/0.36 ![X0]: (~ssList(app(sk0_47,X0))|segmentP(app(sk0_47,X0),sk0_47)|~ssList(X0)|~spl0_12)),
% 0.13/0.36 inference(forward_demodulation,[status(thm)],[f482,f531])).
% 0.13/0.36 fof(f536,plain,(
% 0.13/0.36 spl0_13 <=> ssList(app(sk0_47,sk0_51))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f538,plain,(
% 0.13/0.36 ~ssList(app(sk0_47,sk0_51))|spl0_13),
% 0.13/0.36 inference(component_clause,[status(thm)],[f536])).
% 0.13/0.36 fof(f539,plain,(
% 0.13/0.36 ~ssList(app(sk0_47,sk0_51))|segmentP(sk0_48,sk0_47)|~ssList(sk0_51)|~spl0_12),
% 0.13/0.36 inference(paramodulation,[status(thm)],[f478,f535])).
% 0.13/0.36 fof(f540,plain,(
% 0.13/0.36 ~spl0_13|spl0_2|~spl0_7|~spl0_12),
% 0.13/0.36 inference(split_clause,[status(thm)],[f539,f536,f437,f494,f530])).
% 0.13/0.36 fof(f541,plain,(
% 0.13/0.36 ~ssList(sk0_48)|spl0_13),
% 0.13/0.36 inference(forward_demodulation,[status(thm)],[f478,f538])).
% 0.13/0.36 fof(f542,plain,(
% 0.13/0.36 $false|spl0_13),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f541,f419])).
% 0.13/0.36 fof(f543,plain,(
% 0.13/0.36 spl0_13),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f542])).
% 0.13/0.36 fof(f544,plain,(
% 0.13/0.36 $false|spl0_3),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f442,f476])).
% 0.13/0.36 fof(f545,plain,(
% 0.13/0.36 spl0_3),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f544])).
% 0.13/0.36 fof(f546,plain,(
% 0.13/0.36 $false),
% 0.13/0.36 inference(sat_refutation,[status(thm)],[f443,f508,f510,f512,f534,f540,f543,f545])).
% 0.13/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.24/0.58 % Elapsed time: 0.020334 seconds
% 0.24/0.58 % CPU time: 0.050303 seconds
% 0.24/0.58 % Memory used: 16.175 MB
%------------------------------------------------------------------------------